%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC193+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:24 AM UTC 2026 % Result : Theorem 68.24s 68.49s % Output : Proof 68.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC193+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:23:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 68.24/68.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 68.24/68.49 --- Run --no-e-matching --full-saturate-quant at 6... % 68.24/68.49 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 68.24/68.49 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 68.24/68.49 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 68.24/68.49 --- Run --trigger-sel=max --full-saturate-quant at 15... % 68.24/68.49 % SZS status Theorem % 68.24/68.49 % SZS output start Proof % 68.24/68.49 ( % 68.24/68.49 (declare-sort $$unsorted 0) % 68.24/68.49 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 68.24/68.49 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 68.24/68.49 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 68.24/68.49 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 68.24/68.49 (declare-const tptp.nil $$unsorted) % 68.24/68.49 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.ssList (-> $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 68.24/68.49 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 68.24/68.49 (define @t1 () (@var "V" $$unsorted)) % 68.24/68.49 (define @t2 () (@var "U" $$unsorted)) % 68.24/68.49 (define @t3 () (= @t2 @t1)) % 68.24/68.49 (define @t4 () (not @t3)) % 68.24/68.49 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 68.24/68.49 (define @t6 () (tptp.ssItem @t1)) % 68.24/68.49 (define @t7 () (@list @t1)) % 68.24/68.49 (define @t8 () (tptp.ssItem @t2)) % 68.24/68.49 (define @t9 () (@list @t2)) % 68.24/68.49 (define @t10 () (@var "X" $$unsorted)) % 68.24/68.49 (define @t11 () (tptp.cons @t1 @t10)) % 68.24/68.49 (define @t12 () (@var "W" $$unsorted)) % 68.24/68.49 (define @t13 () (tptp.ssList @t10)) % 68.24/68.49 (define @t14 () (@list @t10)) % 68.24/68.49 (define @t15 () (tptp.ssList @t12)) % 68.24/68.49 (define @t16 () (@list @t12)) % 68.24/68.49 (define @t17 () (tptp.ssList @t2)) % 68.24/68.49 (define @t18 () (tptp.cons @t1 tptp.nil)) % 68.24/68.49 (define @t19 () (and @t6 (= @t18 @t2))) % 68.24/68.49 (define @t20 () (exists @t7 @t19)) % 68.24/68.49 (define @t21 () (tptp.singletonP @t2)) % 68.24/68.49 (define @t22 () (= @t21 @t20)) % 68.24/68.49 (define @t23 () (=> @t17 @t22)) % 68.24/68.49 (define @t24 () (forall @t9 @t23)) % 68.24/68.49 (define @t25 () (tptp.app @t1 @t12)) % 68.24/68.49 (define @t26 () (tptp.frontsegP @t2 @t1)) % 68.24/68.49 (define @t27 () (tptp.ssList @t1)) % 68.24/68.49 (define @t28 () (tptp.app @t12 @t1)) % 68.24/68.49 (define @t29 () (tptp.rearsegP @t2 @t1)) % 68.24/68.49 (define @t30 () (tptp.segmentP @t2 @t1)) % 68.24/68.49 (define @t31 () (tptp.leq @t12 @t1)) % 68.24/68.49 (define @t32 () (tptp.leq @t1 @t12)) % 68.24/68.49 (define @t33 () (@var "Z" $$unsorted)) % 68.24/68.49 (define @t34 () (@var "Y" $$unsorted)) % 68.24/68.49 (define @t35 () (tptp.app @t10 (tptp.cons @t1 @t34))) % 68.24/68.49 (define @t36 () (tptp.app @t35 (tptp.cons @t12 @t33))) % 68.24/68.49 (define @t37 () (= @t36 @t2)) % 68.24/68.49 (define @t38 () (tptp.ssList @t33)) % 68.24/68.49 (define @t39 () (@list @t33)) % 68.24/68.49 (define @t40 () (tptp.ssList @t34)) % 68.24/68.49 (define @t41 () (@list @t34)) % 68.24/68.49 (define @t42 () (tptp.ssItem @t12)) % 68.24/68.49 (define @t43 () (tptp.lt @t1 @t12)) % 68.24/68.49 (define @t44 () (= @t1 @t12)) % 68.24/68.49 (define @t45 () (not @t44)) % 68.24/68.49 (define @t46 () (=> @t37 @t45)) % 68.24/68.49 (define @t47 () (=> @t38 @t46)) % 68.24/68.49 (define @t48 () (forall @t39 @t47)) % 68.24/68.49 (define @t49 () (=> @t40 @t48)) % 68.24/68.49 (define @t50 () (forall @t41 @t49)) % 68.24/68.49 (define @t51 () (=> @t13 @t50)) % 68.24/68.49 (define @t52 () (forall @t14 @t51)) % 68.24/68.49 (define @t53 () (=> @t42 @t52)) % 68.24/68.49 (define @t54 () (forall @t16 @t53)) % 68.24/68.49 (define @t55 () (=> @t6 @t54)) % 68.24/68.49 (define @t56 () (forall @t7 @t55)) % 68.24/68.49 (define @t57 () (tptp.duplicatefreeP @t2)) % 68.24/68.49 (define @t58 () (= @t57 @t56)) % 68.24/68.49 (define @t59 () (=> @t17 @t58)) % 68.24/68.49 (define @t60 () (forall @t9 @t59)) % 68.24/68.49 (define @t61 () (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34)))) % 68.24/68.49 (define @t62 () (=> (= @t61 @t2) @t44)) % 68.24/68.49 (define @t63 () (=> @t40 @t62)) % 68.24/68.49 (define @t64 () (forall @t41 @t63)) % 68.24/68.49 (define @t65 () (=> @t13 @t64)) % 68.24/68.49 (define @t66 () (forall @t14 @t65)) % 68.24/68.49 (define @t67 () (=> @t42 @t66)) % 68.24/68.49 (define @t68 () (forall @t16 @t67)) % 68.24/68.49 (define @t69 () (=> @t6 @t68)) % 68.24/68.49 (define @t70 () (forall @t7 @t69)) % 68.24/68.49 (define @t71 () (tptp.equalelemsP @t2)) % 68.24/68.49 (define @t72 () (= @t71 @t70)) % 68.24/68.49 (define @t73 () (=> @t17 @t72)) % 68.24/68.49 (define @t74 () (forall @t9 @t73)) % 68.24/68.49 (define @t75 () (forall @t7 (=> @t27 @t5))) % 68.24/68.49 (define @t76 () (=> @t17 @t75)) % 68.24/68.49 (define @t77 () (forall @t9 @t76)) % 68.24/68.49 (define @t78 () (tptp.cons @t1 @t2)) % 68.24/68.49 (define @t79 () (tptp.ssList @t78)) % 68.24/68.49 (define @t80 () (forall @t7 (=> @t6 @t79))) % 68.24/68.49 (define @t81 () (=> @t17 @t80)) % 68.24/68.49 (define @t82 () (forall @t9 @t81)) % 68.24/68.49 (define @t83 () (tptp.ssList tptp.nil)) % 68.24/68.49 (define @t84 () (not (= @t78 @t2))) % 68.24/68.49 (define @t85 () (=> @t6 @t84)) % 68.24/68.49 (define @t86 () (forall @t7 @t85)) % 68.24/68.49 (define @t87 () (=> @t17 @t86)) % 68.24/68.49 (define @t88 () (forall @t9 @t87)) % 68.24/68.49 (define @t89 () (= @t1 @t2)) % 68.24/68.49 (define @t90 () (tptp.cons @t12 @t1)) % 68.24/68.49 (define @t91 () (and @t42 (= @t90 @t2))) % 68.24/68.49 (define @t92 () (exists @t16 @t91)) % 68.24/68.49 (define @t93 () (and @t27 @t92)) % 68.24/68.49 (define @t94 () (exists @t7 @t93)) % 68.24/68.49 (define @t95 () (= tptp.nil @t2)) % 68.24/68.49 (define @t96 () (or @t95 @t94)) % 68.24/68.49 (define @t97 () (=> @t17 @t96)) % 68.24/68.49 (define @t98 () (forall @t9 @t97)) % 68.24/68.49 (define @t99 () (tptp.hd @t2)) % 68.24/68.49 (define @t100 () (tptp.ssItem @t99)) % 68.24/68.49 (define @t101 () (not @t95)) % 68.24/68.49 (define @t102 () (=> @t101 @t100)) % 68.24/68.49 (define @t103 () (=> @t17 @t102)) % 68.24/68.49 (define @t104 () (forall @t9 @t103)) % 68.24/68.49 (define @t105 () (tptp.hd @t78)) % 68.24/68.49 (define @t106 () (=> @t6 (= @t105 @t1))) % 68.24/68.49 (define @t107 () (forall @t7 @t106)) % 68.24/68.49 (define @t108 () (=> @t17 @t107)) % 68.24/68.49 (define @t109 () (forall @t9 @t108)) % 68.24/68.49 (define @t110 () (tptp.tl @t2)) % 68.24/68.49 (define @t111 () (tptp.app @t2 @t1)) % 68.24/68.49 (define @t112 () (tptp.ssList @t111)) % 68.24/68.49 (define @t113 () (forall @t7 (=> @t27 @t112))) % 68.24/68.49 (define @t114 () (=> @t17 @t113)) % 68.24/68.49 (define @t115 () (forall @t9 @t114)) % 68.24/68.49 (define @t116 () (tptp.app @t1 @t2)) % 68.24/68.49 (define @t117 () (= (tptp.cons @t12 @t116) (tptp.app @t90 @t2))) % 68.24/68.49 (define @t118 () (forall @t16 (=> @t42 @t117))) % 68.24/68.49 (define @t119 () (=> @t27 @t118)) % 68.24/68.49 (define @t120 () (forall @t7 @t119)) % 68.24/68.49 (define @t121 () (=> @t17 @t120)) % 68.24/68.49 (define @t122 () (forall @t9 @t121)) % 68.24/68.49 (define @t123 () (tptp.app tptp.nil @t2)) % 68.24/68.49 (define @t124 () (=> @t17 (= @t123 @t2))) % 68.24/68.49 (define @t125 () (forall @t9 @t124)) % 68.24/68.49 (define @t126 () (tptp.leq @t1 @t2)) % 68.24/68.49 (define @t127 () (tptp.leq @t2 @t1)) % 68.24/68.49 (define @t128 () (tptp.geq @t2 @t1)) % 68.24/68.49 (define @t129 () (tptp.lt @t1 @t2)) % 68.24/68.49 (define @t130 () (tptp.lt @t2 @t1)) % 68.24/68.49 (define @t131 () (tptp.lt @t2 @t12)) % 68.24/68.49 (define @t132 () (tptp.gt @t2 @t1)) % 68.24/68.49 (define @t133 () (tptp.memberP @t12 @t2)) % 68.24/68.49 (define @t134 () (tptp.app @t12 @t2)) % 68.24/68.49 (define @t135 () (tptp.segmentP @t1 @t12)) % 68.24/68.49 (define @t136 () (tptp.segmentP @t1 @t2)) % 68.24/68.49 (define @t137 () (tptp.segmentP tptp.nil @t2)) % 68.24/68.49 (define @t138 () (=> @t17 (= @t137 @t95))) % 68.24/68.49 (define @t139 () (forall @t9 @t138)) % 68.24/68.49 (define @t140 () (tptp.cons @t2 tptp.nil)) % 68.24/68.49 (define @t141 () (tptp.hd @t1)) % 68.24/68.49 (define @t142 () (= tptp.nil @t1)) % 68.24/68.49 (define @t143 () (not @t142)) % 68.24/68.49 (define @t144 () (tptp.cons @t2 @t1)) % 68.24/68.49 (define @t145 () (tptp.duplicatefreeP @t140)) % 68.24/68.49 (define @t146 () (forall @t9 (=> @t8 @t145))) % 68.24/68.49 (define @t147 () (tptp.equalelemsP @t140)) % 68.24/68.49 (define @t148 () (forall @t9 (=> @t8 @t147))) % 68.24/68.49 (define @t149 () (= @t12 @t2)) % 68.24/68.49 (define @t150 () (= @t78 (tptp.app @t18 @t2))) % 68.24/68.49 (define @t151 () (forall @t7 (=> @t6 @t150))) % 68.24/68.49 (define @t152 () (=> @t17 @t151)) % 68.24/68.49 (define @t153 () (forall @t9 @t152)) % 68.24/68.49 (define @t154 () (= (tptp.app @t111 @t12) (tptp.app @t2 @t25))) % 68.24/68.49 (define @t155 () (forall @t16 (=> @t15 @t154))) % 68.24/68.49 (define @t156 () (=> @t27 @t155)) % 68.24/68.49 (define @t157 () (forall @t7 @t156)) % 68.24/68.49 (define @t158 () (=> @t17 @t157)) % 68.24/68.49 (define @t159 () (forall @t9 @t158)) % 68.24/68.49 (define @t160 () (and @t142 @t95)) % 68.24/68.49 (define @t161 () (= tptp.nil @t111)) % 68.24/68.49 (define @t162 () (= @t161 @t160)) % 68.24/68.49 (define @t163 () (=> @t27 @t162)) % 68.24/68.49 (define @t164 () (forall @t7 @t163)) % 68.24/68.49 (define @t165 () (=> @t17 @t164)) % 68.24/68.49 (define @t166 () (forall @t9 @t165)) % 68.24/68.49 (define @t167 () (tptp.app @t2 tptp.nil)) % 68.24/68.49 (define @t168 () (=> @t17 (= @t167 @t2))) % 68.24/68.49 (define @t169 () (forall @t9 @t168)) % 68.24/68.49 (define @t170 () (not (tptp.singletonP @t12))) % 68.24/68.49 (define @t171 () (and @t170 (tptp.neq @t10 tptp.nil))) % 68.24/68.49 (define @t172 () (= @t34 @t33)) % 68.24/68.49 (define @t173 () (@var "X2" $$unsorted)) % 68.24/68.49 (define @t174 () (tptp.cons @t33 tptp.nil)) % 68.24/68.49 (define @t175 () (tptp.cons @t34 tptp.nil)) % 68.24/68.49 (define @t176 () (@var "X1" $$unsorted)) % 68.24/68.49 (define @t177 () (tptp.app (tptp.app @t176 @t175) @t174)) % 68.24/68.49 (define @t178 () (tptp.app @t177 @t173)) % 68.24/68.49 (define @t179 () (not (= @t178 @t2))) % 68.24/68.49 (define @t180 () (or @t179 @t172)) % 68.24/68.49 (define @t181 () (tptp.ssList @t173)) % 68.24/68.49 (define @t182 () (=> @t181 @t180)) % 68.24/68.49 (define @t183 () (@list @t173)) % 68.24/68.49 (define @t184 () (forall @t183 @t182)) % 68.24/68.49 (define @t185 () (tptp.ssList @t176)) % 68.24/68.49 (define @t186 () (=> @t185 @t184)) % 68.24/68.49 (define @t187 () (@list @t176)) % 68.24/68.49 (define @t188 () (forall @t187 @t186)) % 68.24/68.49 (define @t189 () (tptp.ssItem @t33)) % 68.24/68.49 (define @t190 () (=> @t189 @t188)) % 68.24/68.49 (define @t191 () (forall @t39 @t190)) % 68.24/68.49 (define @t192 () (tptp.ssItem @t34)) % 68.24/68.49 (define @t193 () (=> @t192 @t191)) % 68.24/68.49 (define @t194 () (forall @t41 @t193)) % 68.24/68.49 (define @t195 () (not (tptp.segmentP @t10 @t12))) % 68.24/68.49 (define @t196 () (not (= @t2 @t12))) % 68.24/68.49 (define @t197 () (not (= @t1 @t10))) % 68.24/68.49 (define @t198 () (or @t197 @t196 @t195 @t194 @t171)) % 68.24/68.49 (define @t199 () (=> @t13 @t198)) % 68.24/68.49 (define @t200 () (forall @t14 @t199)) % 68.24/68.49 (define @t201 () (=> @t15 @t200)) % 68.24/68.49 (define @t202 () (forall @t16 @t201)) % 68.24/68.49 (define @t203 () (=> @t27 @t202)) % 68.24/68.49 (define @t204 () (forall @t7 @t203)) % 68.24/68.49 (define @t205 () (=> @t17 @t204)) % 68.24/68.49 (define @t206 () (forall @t9 @t205)) % 68.24/68.49 (define @t207 () (not @t206)) % 68.24/68.49 (define @t208 () (@var "BOUND_VARIABLE_11095" $$unsorted)) % 68.24/68.49 (define @t209 () (tptp.neq @t208 tptp.nil)) % 68.24/68.49 (define @t210 () (@var "BOUND_VARIABLE_11076" $$unsorted)) % 68.24/68.49 (define @t211 () (@var "BOUND_VARIABLE_11072" $$unsorted)) % 68.24/68.49 (define @t212 () (@var "BOUND_VARIABLE_11070" $$unsorted)) % 68.24/68.49 (define @t213 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 68.24/68.49 (define @t214 () (tptp.app (tptp.app (tptp.app @t213 (tptp.cons @t212 tptp.nil)) (tptp.cons @t211 tptp.nil)) @t210)) % 68.24/68.49 (define @t215 () (and (not (tptp.singletonP @t214)) @t209)) % 68.24/68.49 (define @t216 () (not (tptp.segmentP @t208 @t214))) % 68.24/68.49 (define @t217 () (not (tptp.ssList @t208))) % 68.24/68.49 (define @t218 () (not (tptp.ssList @t210))) % 68.24/68.49 (define @t219 () (not (tptp.ssList @t213))) % 68.24/68.49 (define @t220 () (= @t212 @t211)) % 68.24/68.49 (define @t221 () (not (tptp.ssItem @t211))) % 68.24/68.49 (define @t222 () (not (tptp.ssItem @t212))) % 68.24/68.49 (define @t223 () (not (tptp.ssList @t214))) % 68.24/68.49 (define @t224 () (or @t223 @t222 @t221 @t220 @t219 @t218 @t217 @t216 @t215)) % 68.24/68.49 (define @t225 () (not (= @t214 @t214))) % 68.24/68.49 (define @t226 () (or @t223 @t222 @t221 @t220 @t219 @t218 @t225 @t217 @t216 @t215)) % 68.24/68.49 (define @t227 () (@list @t212 @t211 @t213 @t210 @t208)) % 68.24/68.49 (define @t228 () (not @t21)) % 68.24/68.49 (define @t229 () (and @t228 @t209)) % 68.24/68.49 (define @t230 () (not (tptp.segmentP @t208 @t2))) % 68.24/68.49 (define @t231 () (not (= @t2 @t214))) % 68.24/68.49 (define @t232 () (not @t17)) % 68.24/68.49 (define @t233 () (or @t231 @t232 @t222 @t221 @t220 @t219 @t218 @t231 @t217 @t230 @t229)) % 68.24/68.49 (define @t234 () (or @t232 @t222 @t221 @t220 @t219 @t218 @t231 @t217 @t230 @t229)) % 68.24/68.49 (define @t235 () (forall @t9 @t234)) % 68.24/68.49 (define @t236 () (forall @t227 @t235)) % 68.24/68.49 (define @t237 () (forall (@list @t212 @t211 @t213 @t210 @t208 @t2) @t234)) % 68.24/68.49 (define @t238 () (@list @t2 @t212 @t211 @t213 @t210 @t208)) % 68.24/68.49 (define @t239 () (or @t217 @t230 @t229)) % 68.24/68.49 (define @t240 () (or @t222 @t221 @t220 @t219 @t218 @t231)) % 68.24/68.49 (define @t241 () (or @t232 @t240 @t239)) % 68.24/68.49 (define @t242 () (forall @t238 @t241)) % 68.24/68.49 (define @t243 () (forall @t227 @t241)) % 68.24/68.49 (define @t244 () (forall (@list @t208) @t239)) % 68.24/68.49 (define @t245 () (@list @t1)) % 68.24/68.49 (define @t246 () (forall (@list @t212 @t211 @t213 @t210) @t240)) % 68.24/68.49 (define @t247 () (@var "BOUND_VARIABLE_11007" $$unsorted)) % 68.24/68.49 (define @t248 () (@var "BOUND_VARIABLE_11005" $$unsorted)) % 68.24/68.49 (define @t249 () (@var "BOUND_VARIABLE_11003" $$unsorted)) % 68.24/68.49 (define @t250 () (or @t232 @t246 @t244)) % 68.24/68.49 (define @t251 () (tptp.neq @t1 tptp.nil)) % 68.24/68.49 (define @t252 () (and @t228 @t251)) % 68.24/68.49 (define @t253 () (not @t136)) % 68.24/68.49 (define @t254 () (not @t27)) % 68.24/68.49 (define @t255 () (or @t254 @t253 @t252)) % 68.24/68.49 (define @t256 () (forall @t7 @t255)) % 68.24/68.49 (define @t257 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t248 @t175) (tptp.cons @t249 tptp.nil)) @t247)))) % 68.24/68.49 (define @t258 () (not (tptp.ssList @t247))) % 68.24/68.49 (define @t259 () (not (tptp.ssList @t248))) % 68.24/68.49 (define @t260 () (= @t34 @t249)) % 68.24/68.49 (define @t261 () (not (tptp.ssItem @t249))) % 68.24/68.49 (define @t262 () (not @t192)) % 68.24/68.49 (define @t263 () (or @t262 @t261 @t260 @t259 @t258 @t257)) % 68.24/68.49 (define @t264 () (@list @t34 @t249 @t248 @t247)) % 68.24/68.49 (define @t265 () (forall @t264 @t263)) % 68.24/68.49 (define @t266 () (or @t232 @t265 @t256)) % 68.24/68.49 (define @t267 () (or @t265 @t232 @t256)) % 68.24/68.49 (define @t268 () (or @t265 @t232 @t255)) % 68.24/68.49 (define @t269 () (or @t254 @t265 @t232 @t253 @t252)) % 68.24/68.49 (define @t270 () (or @t265 @t254 @t232 @t253 @t252)) % 68.24/68.49 (define @t271 () (or @t232 @t253 @t252)) % 68.24/68.49 (define @t272 () (not (= @t2 @t2))) % 68.24/68.49 (define @t273 () (or @t232 @t272 @t253 @t252)) % 68.24/68.49 (define @t274 () (and @t170 @t251)) % 68.24/68.49 (define @t275 () (not @t135)) % 68.24/68.49 (define @t276 () (not @t15)) % 68.24/68.49 (define @t277 () (or @t196 @t276 @t196 @t275 @t274)) % 68.24/68.49 (define @t278 () (or @t276 @t196 @t275 @t274)) % 68.24/68.49 (define @t279 () (forall @t16 @t278)) % 68.24/68.49 (define @t280 () (or @t265 @t254 @t279)) % 68.24/68.49 (define @t281 () (or @t265 @t254 @t278)) % 68.24/68.49 (define @t282 () (or @t276 @t196 @t265 @t254 @t275 @t274)) % 68.24/68.49 (define @t283 () (or @t196 @t265 @t254 @t275 @t274)) % 68.24/68.49 (define @t284 () (or @t254 @t275 @t274)) % 68.24/68.49 (define @t285 () (not (= @t1 @t1))) % 68.24/68.49 (define @t286 () (or @t254 @t285 @t275 @t274)) % 68.24/68.49 (define @t287 () (not @t13)) % 68.24/68.49 (define @t288 () (or @t197 @t287 @t197 @t195 @t171)) % 68.24/68.49 (define @t289 () (or @t287 @t197 @t195 @t171)) % 68.24/68.49 (define @t290 () (forall @t14 @t289)) % 68.24/68.49 (define @t291 () (or @t196 @t265 @t290)) % 68.24/68.49 (define @t292 () (or @t196 @t265 @t289)) % 68.24/68.49 (define @t293 () (or @t287 @t197 @t196 @t195 @t265 @t171)) % 68.24/68.49 (define @t294 () (or @t197 @t196 @t195 @t265 @t171)) % 68.24/68.49 (define @t295 () (or @t261 @t260 @t259 @t258 @t257)) % 68.24/68.49 (define @t296 () (or @t262 @t295)) % 68.24/68.49 (define @t297 () (forall @t264 @t296)) % 68.24/68.49 (define @t298 () (@list @t249 @t248 @t247)) % 68.24/68.49 (define @t299 () (forall @t298 @t296)) % 68.24/68.49 (define @t300 () (forall @t298 @t295)) % 68.24/68.49 (define @t301 () (@var "BOUND_VARIABLE_10981" $$unsorted)) % 68.24/68.49 (define @t302 () (@var "BOUND_VARIABLE_10979" $$unsorted)) % 68.24/68.49 (define @t303 () (or @t262 @t300)) % 68.24/68.49 (define @t304 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t302 @t175) @t174) @t301)))) % 68.24/68.49 (define @t305 () (not (tptp.ssList @t301))) % 68.24/68.49 (define @t306 () (not (tptp.ssList @t302))) % 68.24/68.49 (define @t307 () (not @t189)) % 68.24/68.49 (define @t308 () (or @t307 @t172 @t306 @t305 @t304)) % 68.24/68.49 (define @t309 () (@list @t33 @t302 @t301)) % 68.24/68.49 (define @t310 () (forall @t309 @t308)) % 68.24/68.49 (define @t311 () (or @t306 @t305 @t304)) % 68.24/68.49 (define @t312 () (or @t307 @t172 @t311)) % 68.24/68.49 (define @t313 () (forall @t309 @t312)) % 68.24/68.49 (define @t314 () (@list @t302 @t301)) % 68.24/68.49 (define @t315 () (forall @t314 @t312)) % 68.24/68.49 (define @t316 () (forall @t314 @t311)) % 68.24/68.49 (define @t317 () (@var "BOUND_VARIABLE_10960" $$unsorted)) % 68.24/68.49 (define @t318 () (or @t307 @t172 @t316)) % 68.24/68.49 (define @t319 () (not (= @t2 (tptp.app @t177 @t317)))) % 68.24/68.49 (define @t320 () (not (tptp.ssList @t317))) % 68.24/68.49 (define @t321 () (not @t185)) % 68.24/68.49 (define @t322 () (or @t321 @t320 @t319)) % 68.24/68.49 (define @t323 () (@list @t176 @t317)) % 68.24/68.49 (define @t324 () (forall @t323 @t322)) % 68.24/68.49 (define @t325 () (or @t307 @t172 @t324)) % 68.24/68.49 (define @t326 () (or @t172 @t324)) % 68.24/68.49 (define @t327 () (or @t320 @t319)) % 68.24/68.49 (define @t328 () (or @t321 @t327)) % 68.24/68.49 (define @t329 () (forall @t323 @t328)) % 68.24/68.49 (define @t330 () (@list @t317)) % 68.24/68.49 (define @t331 () (forall @t330 @t328)) % 68.24/68.49 (define @t332 () (forall @t330 @t327)) % 68.24/68.49 (define @t333 () (or @t321 @t332)) % 68.24/68.49 (define @t334 () (not (= @t2 @t178))) % 68.24/68.49 (define @t335 () (not @t181)) % 68.24/68.49 (define @t336 () (or @t335 @t334)) % 68.24/68.49 (define @t337 () (forall @t183 @t336)) % 68.24/68.49 (define @t338 () (or @t321 @t337)) % 68.24/68.49 (define @t339 () (forall @t187 @t338)) % 68.24/68.49 (define @t340 () (or @t172 @t339)) % 68.24/68.49 (define @t341 () (or @t172 @t338)) % 68.24/68.49 (define @t342 () (or @t321 @t172 @t337)) % 68.24/68.49 (define @t343 () (or @t172 @t337)) % 68.24/68.49 (define @t344 () (or @t172 @t336)) % 68.24/68.49 (define @t345 () (or @t335 @t334 @t172)) % 68.24/68.49 (define @t346 () (or @t334 @t172)) % 68.24/68.49 (define @t347 () (forall @t227 @t224)) % 68.24/68.49 (define @t348 () (@quantifiers_skolemize @t347 3)) % 68.24/68.49 (define @t349 () (@quantifiers_skolemize @t347 1)) % 68.24/68.49 (define @t350 () (tptp.cons @t349 tptp.nil)) % 68.24/68.49 (define @t351 () (@quantifiers_skolemize @t347 0)) % 68.24/68.49 (define @t352 () (tptp.cons @t351 tptp.nil)) % 68.24/68.49 (define @t353 () (@quantifiers_skolemize @t347 2)) % 68.24/68.49 (define @t354 () (tptp.app @t353 @t352)) % 68.24/68.49 (define @t355 () (tptp.app @t354 @t350)) % 68.24/68.49 (define @t356 () (tptp.app @t355 @t348)) % 68.24/68.49 (define @t357 () (@quantifiers_skolemize @t347 4)) % 68.24/68.49 (define @t358 () (tptp.segmentP @t357 @t356)) % 68.24/68.49 (define @t359 () (tptp.neq @t357 tptp.nil)) % 68.24/68.49 (define @t360 () (tptp.singletonP @t356)) % 68.24/68.49 (define @t361 () (not @t360)) % 68.24/68.49 (define @t362 () (and @t361 @t359)) % 68.24/68.49 (define @t363 () (not @t358)) % 68.24/68.49 (define @t364 () (tptp.ssList @t357)) % 68.24/68.49 (define @t365 () (not @t364)) % 68.24/68.49 (define @t366 () (tptp.ssList @t348)) % 68.24/68.49 (define @t367 () (not @t366)) % 68.24/68.49 (define @t368 () (tptp.ssList @t353)) % 68.24/68.49 (define @t369 () (not @t368)) % 68.24/68.49 (define @t370 () (= @t351 @t349)) % 68.24/68.49 (define @t371 () (tptp.ssItem @t349)) % 68.24/68.49 (define @t372 () (not @t371)) % 68.24/68.49 (define @t373 () (tptp.ssItem @t351)) % 68.24/68.49 (define @t374 () (not @t373)) % 68.24/68.49 (define @t375 () (tptp.ssList @t356)) % 68.24/68.49 (define @t376 () (not @t375)) % 68.24/68.49 (define @t377 () (or @t376 @t374 @t372 @t370 @t369 @t367 @t365 @t363 @t362)) % 68.24/68.49 (define @t378 () (@list true)) % 68.24/68.49 (define @t379 () (@list @t377)) % 68.24/68.49 (define @t380 () (= @t2 tptp.nil)) % 68.24/68.49 (define @t381 () (= @t137 @t380)) % 68.24/68.49 (define @t382 () (tptp.segmentP tptp.nil @t356)) % 68.24/68.49 (define @t383 () (= @t356 tptp.nil)) % 68.24/68.49 (define @t384 () (or @t376 (= @t382 @t383))) % 68.24/68.49 (define @t385 () (forall @t9 (or @t232 @t381))) % 68.24/68.49 (define @t386 () (@list @t356)) % 68.24/68.49 (define @t387 () (= tptp.nil @t356)) % 68.24/68.49 (define @t388 () (= @t387 @t382)) % 68.24/68.49 (define @t389 () (or @t376 @t388)) % 68.24/68.49 (define @t390 () (@list false)) % 68.24/68.49 (define @t391 () (@list false false)) % 68.24/68.49 (define @t392 () (@var "BOUND_VARIABLE_10611" $$unsorted)) % 68.24/68.49 (define @t393 () (and (= @t392 tptp.nil) @t380)) % 68.24/68.49 (define @t394 () (= tptp.nil (tptp.app @t2 @t392))) % 68.24/68.49 (define @t395 () (= @t394 @t393)) % 68.24/68.49 (define @t396 () (not (tptp.ssList @t392))) % 68.24/68.49 (define @t397 () (or @t232 @t396 @t395)) % 68.24/68.49 (define @t398 () (or @t396 @t395)) % 68.24/68.49 (define @t399 () (or @t232 @t398)) % 68.24/68.49 (define @t400 () (@list @t2 @t392)) % 68.24/68.49 (define @t401 () (forall @t400 @t399)) % 68.24/68.49 (define @t402 () (@list @t392)) % 68.24/68.49 (define @t403 () (forall @t402 @t399)) % 68.24/68.49 (define @t404 () (forall @t402 @t398)) % 68.24/68.49 (define @t405 () (or @t232 @t404)) % 68.24/68.49 (define @t406 () (= @t161 (and (= @t1 tptp.nil) @t380))) % 68.24/68.49 (define @t407 () (forall @t7 (or @t254 @t406))) % 68.24/68.49 (define @t408 () (= tptp.nil @t348)) % 68.24/68.49 (define @t409 () (and @t408 (= @t355 tptp.nil))) % 68.24/68.49 (define @t410 () (= @t387 @t409)) % 68.24/68.49 (define @t411 () (tptp.ssList @t355)) % 68.24/68.49 (define @t412 () (not @t411)) % 68.24/68.49 (define @t413 () (or @t412 @t367 @t410)) % 68.24/68.49 (define @t414 () (forall @t400 (or @t232 @t396 (= @t394 (and (= tptp.nil @t392) @t380))))) % 68.24/68.49 (define @t415 () (= tptp.nil @t355)) % 68.24/68.49 (define @t416 () (and @t408 @t415)) % 68.24/68.49 (define @t417 () (= @t387 @t416)) % 68.24/68.49 (define @t418 () (or @t412 @t367 @t417)) % 68.24/68.49 (define @t419 () (@list @t414)) % 68.24/68.49 (define @t420 () (@var "BOUND_VARIABLE_9383" $$unsorted)) % 68.24/68.49 (define @t421 () (tptp.ssList (tptp.app @t2 @t420))) % 68.24/68.49 (define @t422 () (not (tptp.ssList @t420))) % 68.24/68.49 (define @t423 () (or @t422 @t421)) % 68.24/68.49 (define @t424 () (or @t232 @t423)) % 68.24/68.49 (define @t425 () (forall (@list @t2 @t420) @t424)) % 68.24/68.49 (define @t426 () (@list @t420)) % 68.24/68.49 (define @t427 () (forall @t426 @t424)) % 68.24/68.49 (define @t428 () (forall @t426 @t423)) % 68.24/68.49 (define @t429 () (or @t232 @t428)) % 68.24/68.49 (define @t430 () (forall @t7 (or @t254 @t112))) % 68.24/68.49 (define @t431 () (@list @t354 @t350)) % 68.24/68.49 (define @t432 () (@var "BOUND_VARIABLE_9139" $$unsorted)) % 68.24/68.49 (define @t433 () (tptp.ssList (tptp.cons @t432 @t2))) % 68.24/68.49 (define @t434 () (not (tptp.ssItem @t432))) % 68.24/68.49 (define @t435 () (or @t434 @t433)) % 68.24/68.49 (define @t436 () (or @t232 @t435)) % 68.24/68.49 (define @t437 () (forall (@list @t2 @t432) @t436)) % 68.24/68.49 (define @t438 () (@list @t432)) % 68.24/68.49 (define @t439 () (forall @t438 @t436)) % 68.24/68.49 (define @t440 () (forall @t438 @t435)) % 68.24/68.49 (define @t441 () (or @t232 @t440)) % 68.24/68.49 (define @t442 () (not @t6)) % 68.24/68.49 (define @t443 () (forall @t7 (or @t442 @t79))) % 68.24/68.49 (define @t444 () (tptp.ssList @t352)) % 68.24/68.49 (define @t445 () (not @t83)) % 68.24/68.49 (define @t446 () (or @t445 @t374 @t444)) % 68.24/68.49 (define @t447 () (@list false false false)) % 68.24/68.49 (define @t448 () (tptp.ssList @t354)) % 68.24/68.49 (define @t449 () (not @t444)) % 68.24/68.49 (define @t450 () (or @t369 @t449 @t448)) % 68.24/68.49 (define @t451 () (@list tptp.nil @t349)) % 68.24/68.49 (define @t452 () (tptp.ssList @t350)) % 68.24/68.49 (define @t453 () (or @t445 @t372 @t452)) % 68.24/68.49 (define @t454 () (not @t452)) % 68.24/68.49 (define @t455 () (not @t448)) % 68.24/68.49 (define @t456 () (or @t455 @t454 @t411)) % 68.24/68.49 (define @t457 () (= tptp.nil @t350)) % 68.24/68.49 (define @t458 () (and @t457 (= @t354 tptp.nil))) % 68.24/68.49 (define @t459 () (= @t415 @t458)) % 68.24/68.49 (define @t460 () (or @t455 @t454 @t459)) % 68.24/68.49 (define @t461 () (and @t457 (= tptp.nil @t354))) % 68.24/68.49 (define @t462 () (= @t415 @t461)) % 68.24/68.49 (define @t463 () (or @t455 @t454 @t462)) % 68.24/68.49 (define @t464 () (@var "BOUND_VARIABLE_9162" $$unsorted)) % 68.24/68.49 (define @t465 () (not (= @t2 (tptp.cons @t464 @t2)))) % 68.24/68.49 (define @t466 () (not (tptp.ssItem @t464))) % 68.24/68.49 (define @t467 () (or @t466 @t465)) % 68.24/68.49 (define @t468 () (or @t232 @t467)) % 68.24/68.49 (define @t469 () (forall (@list @t2 @t464) @t468)) % 68.24/68.49 (define @t470 () (@list @t464)) % 68.24/68.49 (define @t471 () (forall @t470 @t468)) % 68.24/68.49 (define @t472 () (forall @t470 @t467)) % 68.24/68.49 (define @t473 () (or @t232 @t472)) % 68.24/68.49 (define @t474 () (not (= @t2 @t78))) % 68.24/68.49 (define @t475 () (forall @t7 (or @t442 @t474))) % 68.24/68.49 (define @t476 () (not @t457)) % 68.24/68.49 (define @t477 () (or @t445 @t372 @t476)) % 68.24/68.49 (define @t478 () (not @t461)) % 68.24/68.49 (define @t479 () (not @t415)) % 68.24/68.49 (define @t480 () (@list true false)) % 68.24/68.49 (define @t481 () (not @t416)) % 68.24/68.49 (define @t482 () (not @t387)) % 68.24/68.49 (define @t483 () (not @t382)) % 68.24/68.49 (define @t484 () (@var "BOUND_VARIABLE_9118" $$unsorted)) % 68.24/68.49 (define @t485 () (= (tptp.neq @t2 @t484) (not (= @t2 @t484)))) % 68.24/68.49 (define @t486 () (not (tptp.ssList @t484))) % 68.24/68.49 (define @t487 () (or @t232 @t486 @t485)) % 68.24/68.49 (define @t488 () (or @t486 @t485)) % 68.24/68.49 (define @t489 () (or @t232 @t488)) % 68.24/68.49 (define @t490 () (@list @t2 @t484)) % 68.24/68.49 (define @t491 () (forall @t490 @t489)) % 68.24/68.49 (define @t492 () (@list @t484)) % 68.24/68.49 (define @t493 () (forall @t492 @t489)) % 68.24/68.49 (define @t494 () (forall @t492 @t488)) % 68.24/68.49 (define @t495 () (or @t232 @t494)) % 68.24/68.49 (define @t496 () (forall @t7 (or @t254 @t5))) % 68.24/68.49 (define @t497 () (not (= @t357 tptp.nil))) % 68.24/68.49 (define @t498 () (= @t359 @t497)) % 68.24/68.49 (define @t499 () (or @t365 @t445 @t498)) % 68.24/68.49 (define @t500 () (forall @t490 @t487)) % 68.24/68.49 (define @t501 () (= tptp.nil @t357)) % 68.24/68.49 (define @t502 () (not @t501)) % 68.24/68.49 (define @t503 () (= @t359 @t502)) % 68.24/68.49 (define @t504 () (or @t365 @t445 @t503)) % 68.24/68.49 (define @t505 () (= @t2 @t18)) % 68.24/68.49 (define @t506 () (= @t21 (not (forall @t7 (or @t442 (not @t505)))))) % 68.24/68.49 (define @t507 () (and @t6 @t505)) % 68.24/68.49 (define @t508 () (forall @t7 (not @t507))) % 68.24/68.49 (define @t509 () (not @t508)) % 68.24/68.49 (define @t510 () (not (= @t356 @t18))) % 68.24/68.49 (define @t511 () (or @t442 @t510)) % 68.24/68.49 (define @t512 () (forall @t7 @t511)) % 68.24/68.49 (define @t513 () (not @t512)) % 68.24/68.49 (define @t514 () (= @t360 @t513)) % 68.24/68.49 (define @t515 () (or @t376 @t514)) % 68.24/68.49 (define @t516 () (forall @t9 (or @t232 @t506))) % 68.24/68.49 (define @t517 () (forall @t7 (or @t442 (not (= @t18 @t356))))) % 68.24/68.49 (define @t518 () (not @t517)) % 68.24/68.49 (define @t519 () (= @t360 @t518)) % 68.24/68.49 (define @t520 () (or @t376 @t519)) % 68.24/68.49 (define @t521 () (@quantifiers_skolemize @t517 0)) % 68.24/68.49 (define @t522 () (tptp.ssItem @t521)) % 68.24/68.49 (define @t523 () (tptp.cons @t521 tptp.nil)) % 68.24/68.49 (define @t524 () (= @t356 @t523)) % 68.24/68.49 (define @t525 () (not @t524)) % 68.24/68.49 (define @t526 () (not @t522)) % 68.24/68.49 (define @t527 () (or @t526 @t525)) % 68.24/68.49 (define @t528 () (@var "BOUND_VARIABLE_9333" $$unsorted)) % 68.24/68.49 (define @t529 () (= @t528 (tptp.hd (tptp.cons @t528 @t2)))) % 68.24/68.49 (define @t530 () (not (tptp.ssItem @t528))) % 68.24/68.49 (define @t531 () (or @t530 @t529)) % 68.24/68.49 (define @t532 () (or @t232 @t531)) % 68.24/68.49 (define @t533 () (forall (@list @t2 @t528) @t532)) % 68.24/68.49 (define @t534 () (@list @t528)) % 68.24/68.49 (define @t535 () (forall @t534 @t532)) % 68.24/68.49 (define @t536 () (forall @t534 @t531)) % 68.24/68.49 (define @t537 () (or @t232 @t536)) % 68.24/68.49 (define @t538 () (= @t1 @t105)) % 68.24/68.49 (define @t539 () (forall @t7 (or @t442 @t538))) % 68.24/68.49 (define @t540 () (tptp.hd @t523)) % 68.24/68.49 (define @t541 () (= @t521 @t540)) % 68.24/68.49 (define @t542 () (or @t445 @t526 @t541)) % 68.24/68.49 (define @t543 () (tptp.hd @t356)) % 68.24/68.49 (define @t544 () (@list @t543)) % 68.24/68.49 (define @t545 () (or @t232 @t380 @t100)) % 68.24/68.49 (define @t546 () (not @t380)) % 68.24/68.49 (define @t547 () (=> @t546 @t100)) % 68.24/68.49 (define @t548 () (tptp.ssItem @t543)) % 68.24/68.49 (define @t549 () (or @t376 @t383 @t548)) % 68.24/68.49 (define @t550 () (forall @t9 @t545)) % 68.24/68.49 (define @t551 () (or @t376 @t387 @t548)) % 68.24/68.49 (define @t552 () (@list @t550)) % 68.24/68.49 (define @t553 () (@list false true false)) % 68.24/68.49 (define @t554 () (tptp.cons @t543 tptp.nil)) % 68.24/68.49 (define @t555 () (tptp.duplicatefreeP @t554)) % 68.24/68.49 (define @t556 () (not @t548)) % 68.24/68.49 (define @t557 () (or @t556 @t555)) % 68.24/68.49 (define @t558 () (tptp.duplicatefreeP @t356)) % 68.24/68.49 (define @t559 () (and @t524 @t541 @t555)) % 68.24/68.49 (define @t560 () (not @t541)) % 68.24/68.49 (define @t561 () (@var "BOUND_VARIABLE_8995" $$unsorted)) % 68.24/68.49 (define @t562 () (@var "BOUND_VARIABLE_8993" $$unsorted)) % 68.24/68.49 (define @t563 () (@var "BOUND_VARIABLE_8991" $$unsorted)) % 68.24/68.49 (define @t564 () (tptp.app (tptp.app @t563 (tptp.cons @t1 @t562)) (tptp.cons @t1 @t561))) % 68.24/68.49 (define @t565 () (not (= @t2 @t564))) % 68.24/68.49 (define @t566 () (not (tptp.ssList @t561))) % 68.24/68.49 (define @t567 () (not (tptp.ssList @t562))) % 68.24/68.49 (define @t568 () (not (tptp.ssList @t563))) % 68.24/68.49 (define @t569 () (or @t442 @t568 @t567 @t566 @t565)) % 68.24/68.49 (define @t570 () (@list @t1 @t563 @t562 @t561)) % 68.24/68.49 (define @t571 () (= @t57 (forall @t570 @t569))) % 68.24/68.49 (define @t572 () (or @t568 @t567 @t566 @t565)) % 68.24/68.49 (define @t573 () (or @t442 @t572)) % 68.24/68.49 (define @t574 () (forall @t570 @t573)) % 68.24/68.49 (define @t575 () (@list @t563 @t562 @t561)) % 68.24/68.49 (define @t576 () (forall @t575 @t573)) % 68.24/68.49 (define @t577 () (forall @t575 @t572)) % 68.24/68.49 (define @t578 () (@var "BOUND_VARIABLE_8953" $$unsorted)) % 68.24/68.49 (define @t579 () (@var "BOUND_VARIABLE_8951" $$unsorted)) % 68.24/68.49 (define @t580 () (@var "BOUND_VARIABLE_8949" $$unsorted)) % 68.24/68.49 (define @t581 () (@list @t580 @t579 @t578)) % 68.24/68.49 (define @t582 () (or @t442 @t577)) % 68.24/68.49 (define @t583 () (tptp.app @t580 (tptp.cons @t1 @t579))) % 68.24/68.49 (define @t584 () (not (= @t2 (tptp.app @t583 (tptp.cons @t1 @t578))))) % 68.24/68.49 (define @t585 () (not (tptp.ssList @t578))) % 68.24/68.49 (define @t586 () (not (tptp.ssList @t579))) % 68.24/68.49 (define @t587 () (not (tptp.ssList @t580))) % 68.24/68.49 (define @t588 () (or @t587 @t586 @t585 @t584)) % 68.24/68.49 (define @t589 () (@list @t580 @t579 @t578)) % 68.24/68.49 (define @t590 () (or @t442 (forall @t589 @t588))) % 68.24/68.49 (define @t591 () (or @t442 @t588)) % 68.24/68.49 (define @t592 () (or @t442 @t587 @t586 @t585 @t584)) % 68.24/68.49 (define @t593 () (or @t442 @t285 @t587 @t586 @t585 @t584)) % 68.24/68.49 (define @t594 () (not (= @t2 (tptp.app @t583 (tptp.cons @t12 @t578))))) % 68.24/68.49 (define @t595 () (not @t42)) % 68.24/68.49 (define @t596 () (or @t45 @t595 @t45 @t587 @t586 @t585 @t594)) % 68.24/68.49 (define @t597 () (or @t595 @t45 @t587 @t586 @t585 @t594)) % 68.24/68.49 (define @t598 () (forall @t16 @t597)) % 68.24/68.49 (define @t599 () (forall @t589 @t598)) % 68.24/68.49 (define @t600 () (forall (@list @t580 @t579 @t578 @t12) @t597)) % 68.24/68.49 (define @t601 () (@list @t12 @t580 @t579 @t578)) % 68.24/68.49 (define @t602 () (or @t587 @t586 @t585 @t594)) % 68.24/68.49 (define @t603 () (or @t595 @t45 @t602)) % 68.24/68.49 (define @t604 () (forall @t601 @t603)) % 68.24/68.49 (define @t605 () (forall @t589 @t603)) % 68.24/68.49 (define @t606 () (forall @t589 @t602)) % 68.24/68.49 (define @t607 () (@var "BOUND_VARIABLE_8490" $$unsorted)) % 68.24/68.49 (define @t608 () (@var "BOUND_VARIABLE_8488" $$unsorted)) % 68.24/68.49 (define @t609 () (or @t595 @t45 @t606)) % 68.24/68.49 (define @t610 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t608)) (tptp.cons @t12 @t607))))) % 68.24/68.49 (define @t611 () (not (tptp.ssList @t607))) % 68.24/68.49 (define @t612 () (not (tptp.ssList @t608))) % 68.24/68.49 (define @t613 () (or @t287 @t612 @t611 @t610)) % 68.24/68.49 (define @t614 () (@list @t10 @t608 @t607)) % 68.24/68.49 (define @t615 () (forall @t614 @t613)) % 68.24/68.49 (define @t616 () (or @t595 @t45 @t615)) % 68.24/68.49 (define @t617 () (or @t45 @t615)) % 68.24/68.49 (define @t618 () (or @t612 @t611 @t610)) % 68.24/68.49 (define @t619 () (or @t287 @t618)) % 68.24/68.49 (define @t620 () (forall @t614 @t619)) % 68.24/68.49 (define @t621 () (@list @t608 @t607)) % 68.24/68.49 (define @t622 () (forall @t621 @t619)) % 68.24/68.49 (define @t623 () (forall @t621 @t618)) % 68.24/68.49 (define @t624 () (@var "BOUND_VARIABLE_8466" $$unsorted)) % 68.24/68.49 (define @t625 () (or @t287 @t623)) % 68.24/68.49 (define @t626 () (not (= @t2 (tptp.app @t35 (tptp.cons @t12 @t624))))) % 68.24/68.49 (define @t627 () (not (tptp.ssList @t624))) % 68.24/68.49 (define @t628 () (not @t40)) % 68.24/68.49 (define @t629 () (or @t628 @t627 @t626)) % 68.24/68.49 (define @t630 () (@list @t34 @t624)) % 68.24/68.49 (define @t631 () (forall @t630 @t629)) % 68.24/68.49 (define @t632 () (or @t287 @t631)) % 68.24/68.49 (define @t633 () (forall @t14 @t632)) % 68.24/68.49 (define @t634 () (or @t45 @t633)) % 68.24/68.49 (define @t635 () (or @t45 @t632)) % 68.24/68.49 (define @t636 () (or @t287 @t45 @t631)) % 68.24/68.49 (define @t637 () (or @t45 @t631)) % 68.24/68.49 (define @t638 () (or @t627 @t626)) % 68.24/68.49 (define @t639 () (or @t628 @t638)) % 68.24/68.49 (define @t640 () (forall @t630 @t639)) % 68.24/68.49 (define @t641 () (@list @t624)) % 68.24/68.49 (define @t642 () (forall @t641 @t639)) % 68.24/68.49 (define @t643 () (forall @t641 @t638)) % 68.24/68.49 (define @t644 () (or @t628 @t643)) % 68.24/68.49 (define @t645 () (= @t2 @t36)) % 68.24/68.49 (define @t646 () (not @t645)) % 68.24/68.49 (define @t647 () (not @t38)) % 68.24/68.49 (define @t648 () (or @t647 @t646)) % 68.24/68.49 (define @t649 () (forall @t39 @t648)) % 68.24/68.49 (define @t650 () (or @t628 @t649)) % 68.24/68.49 (define @t651 () (forall @t41 @t650)) % 68.24/68.49 (define @t652 () (or @t45 @t651)) % 68.24/68.49 (define @t653 () (or @t45 @t650)) % 68.24/68.49 (define @t654 () (or @t628 @t45 @t649)) % 68.24/68.49 (define @t655 () (or @t45 @t649)) % 68.24/68.49 (define @t656 () (or @t45 @t648)) % 68.24/68.49 (define @t657 () (or @t647 @t646 @t45)) % 68.24/68.49 (define @t658 () (=> @t645 @t45)) % 68.24/68.49 (define @t659 () (not (= @t356 @t564))) % 68.24/68.49 (define @t660 () (or @t442 @t568 @t567 @t566 @t659)) % 68.24/68.49 (define @t661 () (forall @t570 @t660)) % 68.24/68.49 (define @t662 () (= @t558 @t661)) % 68.24/68.49 (define @t663 () (or @t376 @t662)) % 68.24/68.49 (define @t664 () (forall @t9 (or @t232 @t571))) % 68.24/68.49 (define @t665 () (forall @t570 (or @t442 @t568 @t567 @t566 (not (= @t564 @t356))))) % 68.24/68.49 (define @t666 () (= @t558 @t665)) % 68.24/68.49 (define @t667 () (or @t376 @t666)) % 68.24/68.49 (define @t668 () (@var "BOUND_VARIABLE_9276" $$unsorted)) % 68.24/68.49 (define @t669 () (tptp.cons @t668 @t1)) % 68.24/68.49 (define @t670 () (not (tptp.ssItem @t668))) % 68.24/68.49 (define @t671 () (@list @t1 @t668)) % 68.24/68.49 (define @t672 () (forall @t671 (or @t254 @t670 (not (= @t669 @t348))))) % 68.24/68.49 (define @t673 () (@quantifiers_skolemize @t672 0)) % 68.24/68.49 (define @t674 () (tptp.app @t355 (tptp.cons @t349 @t673))) % 68.24/68.49 (define @t675 () (not (= @t674 @t356))) % 68.24/68.49 (define @t676 () (tptp.ssList @t673)) % 68.24/68.49 (define @t677 () (not @t676)) % 68.24/68.49 (define @t678 () (or @t372 @t455 @t445 @t677 @t675)) % 68.24/68.49 (define @t679 () (tptp.cons @t351 @t350)) % 68.24/68.49 (define @t680 () (tptp.app @t353 @t679)) % 68.24/68.50 (define @t681 () (not (= @t680 @t356))) % 68.24/68.50 (define @t682 () (or @t374 @t372 @t370 @t369 @t445 @t681)) % 68.24/68.50 (define @t683 () (@var "BOUND_VARIABLE_9086" $$unsorted)) % 68.24/68.50 (define @t684 () (@var "BOUND_VARIABLE_9082" $$unsorted)) % 68.24/68.50 (define @t685 () (@var "BOUND_VARIABLE_9084" $$unsorted)) % 68.24/68.50 (define @t686 () (tptp.app @t685 (tptp.cons @t1 (tptp.cons @t684 @t683)))) % 68.24/68.50 (define @t687 () (not (tptp.ssList @t683))) % 68.24/68.50 (define @t688 () (not (tptp.ssList @t685))) % 68.24/68.50 (define @t689 () (= @t1 @t684)) % 68.24/68.50 (define @t690 () (not (tptp.ssItem @t684))) % 68.24/68.50 (define @t691 () (@list @t1 @t684 @t685 @t683)) % 68.24/68.50 (define @t692 () (forall @t691 (or @t442 @t690 @t689 @t688 @t687 (not (= @t686 @t356))))) % 68.24/68.50 (define @t693 () (tptp.hd @t348)) % 68.24/68.50 (define @t694 () (tptp.app @t354 (tptp.cons @t349 (tptp.cons @t693 @t673)))) % 68.24/68.50 (define @t695 () (not (= @t694 @t356))) % 68.24/68.50 (define @t696 () (= @t349 @t693)) % 68.24/68.50 (define @t697 () (tptp.ssItem @t693)) % 68.24/68.50 (define @t698 () (not @t697)) % 68.24/68.50 (define @t699 () (or @t372 @t698 @t696 @t455 @t677 @t695)) % 68.24/68.50 (define @t700 () (= @t356 @t680)) % 68.24/68.50 (define @t701 () (not @t700)) % 68.24/68.50 (define @t702 () (or @t374 @t372 @t370 @t369 @t445 @t701)) % 68.24/68.50 (define @t703 () (= @t2 @t123)) % 68.24/68.50 (define @t704 () (@list @t348)) % 68.24/68.50 (define @t705 () (tptp.app tptp.nil @t348)) % 68.24/68.50 (define @t706 () (= @t348 @t705)) % 68.24/68.50 (define @t707 () (or @t367 @t706)) % 68.24/68.50 (define @t708 () (= @t2 @t167)) % 68.24/68.50 (define @t709 () (tptp.app @t353 tptp.nil)) % 68.24/68.50 (define @t710 () (= @t353 @t709)) % 68.24/68.50 (define @t711 () (or @t369 @t710)) % 68.24/68.50 (define @t712 () (@var "BOUND_VARIABLE_10583" $$unsorted)) % 68.24/68.50 (define @t713 () (@var "BOUND_VARIABLE_10581" $$unsorted)) % 68.24/68.50 (define @t714 () (= (tptp.app (tptp.app @t2 @t713) @t712) (tptp.app @t2 (tptp.app @t713 @t712)))) % 68.24/68.50 (define @t715 () (not (tptp.ssList @t712))) % 68.24/68.50 (define @t716 () (not (tptp.ssList @t713))) % 68.24/68.50 (define @t717 () (or @t716 @t715 @t714)) % 68.24/68.50 (define @t718 () (or @t232 @t717)) % 68.24/68.50 (define @t719 () (forall (@list @t2 @t713 @t712) @t718)) % 68.24/68.50 (define @t720 () (@list @t713 @t712)) % 68.24/68.50 (define @t721 () (forall @t720 @t718)) % 68.24/68.50 (define @t722 () (forall @t720 @t717)) % 68.24/68.50 (define @t723 () (@var "BOUND_VARIABLE_10563" $$unsorted)) % 68.24/68.50 (define @t724 () (or @t232 @t722)) % 68.24/68.50 (define @t725 () (= (tptp.app @t111 @t723) (tptp.app @t2 (tptp.app @t1 @t723)))) % 68.24/68.50 (define @t726 () (not (tptp.ssList @t723))) % 68.24/68.50 (define @t727 () (or @t254 @t726 @t725)) % 68.24/68.50 (define @t728 () (@list @t1 @t723)) % 68.24/68.50 (define @t729 () (forall @t728 @t727)) % 68.24/68.50 (define @t730 () (or @t726 @t725)) % 68.24/68.50 (define @t731 () (or @t254 @t730)) % 68.24/68.50 (define @t732 () (forall @t728 @t731)) % 68.24/68.50 (define @t733 () (@list @t723)) % 68.24/68.50 (define @t734 () (forall @t733 @t731)) % 68.24/68.50 (define @t735 () (forall @t733 @t730)) % 68.24/68.50 (define @t736 () (@list @t12)) % 68.24/68.50 (define @t737 () (or @t254 @t735)) % 68.24/68.50 (define @t738 () (forall @t16 (or @t276 @t154))) % 68.24/68.50 (define @t739 () (tptp.app @t352 @t350)) % 68.24/68.50 (define @t740 () (tptp.app @t353 @t739)) % 68.24/68.50 (define @t741 () (= @t355 @t740)) % 68.24/68.50 (define @t742 () (or @t369 @t449 @t454 @t741)) % 68.24/68.50 (define @t743 () (@list false false false false)) % 68.24/68.50 (define @t744 () (tptp.app @t350 @t348)) % 68.24/68.50 (define @t745 () (tptp.app @t354 @t744)) % 68.24/68.50 (define @t746 () (= @t356 @t745)) % 68.24/68.50 (define @t747 () (or @t455 @t454 @t367 @t746)) % 68.24/68.50 (define @t748 () (@var "BOUND_VARIABLE_9420" $$unsorted)) % 68.24/68.50 (define @t749 () (@var "BOUND_VARIABLE_9422" $$unsorted)) % 68.24/68.50 (define @t750 () (= (tptp.cons @t749 (tptp.app @t748 @t2)) (tptp.app (tptp.cons @t749 @t748) @t2))) % 68.24/68.50 (define @t751 () (not (tptp.ssItem @t749))) % 68.24/68.50 (define @t752 () (not (tptp.ssList @t748))) % 68.24/68.50 (define @t753 () (or @t232 @t752 @t751 @t750)) % 68.24/68.50 (define @t754 () (or @t752 @t751 @t750)) % 68.24/68.50 (define @t755 () (or @t232 @t754)) % 68.24/68.50 (define @t756 () (@list @t2 @t748 @t749)) % 68.24/68.50 (define @t757 () (forall @t756 @t755)) % 68.24/68.50 (define @t758 () (@list @t748 @t749)) % 68.24/68.50 (define @t759 () (forall @t758 @t755)) % 68.24/68.50 (define @t760 () (forall @t758 @t754)) % 68.24/68.50 (define @t761 () (@var "BOUND_VARIABLE_9402" $$unsorted)) % 68.24/68.50 (define @t762 () (or @t232 @t760)) % 68.24/68.50 (define @t763 () (= (tptp.cons @t761 @t116) (tptp.app (tptp.cons @t761 @t1) @t2))) % 68.24/68.50 (define @t764 () (not (tptp.ssItem @t761))) % 68.24/68.50 (define @t765 () (or @t254 @t764 @t763)) % 68.24/68.50 (define @t766 () (@list @t1 @t761)) % 68.24/68.50 (define @t767 () (forall @t766 @t765)) % 68.24/68.50 (define @t768 () (or @t764 @t763)) % 68.24/68.50 (define @t769 () (or @t254 @t768)) % 68.24/68.50 (define @t770 () (forall @t766 @t769)) % 68.24/68.50 (define @t771 () (@list @t761)) % 68.24/68.50 (define @t772 () (forall @t771 @t769)) % 68.24/68.50 (define @t773 () (forall @t771 @t768)) % 68.24/68.50 (define @t774 () (or @t254 @t773)) % 68.24/68.50 (define @t775 () (forall @t16 (or @t595 @t117))) % 68.24/68.50 (define @t776 () (tptp.cons @t349 @t705)) % 68.24/68.50 (define @t777 () (or @t367 @t445 @t372 (= @t776 @t744))) % 68.24/68.50 (define @t778 () (forall @t756 @t753)) % 68.24/68.50 (define @t779 () (= @t744 @t776)) % 68.24/68.50 (define @t780 () (or @t367 @t445 @t372 @t779)) % 68.24/68.50 (define @t781 () (@var "BOUND_VARIABLE_10542" $$unsorted)) % 68.24/68.50 (define @t782 () (= (tptp.cons @t781 @t2) (tptp.app (tptp.cons @t781 tptp.nil) @t2))) % 68.24/68.50 (define @t783 () (not (tptp.ssItem @t781))) % 68.24/68.50 (define @t784 () (or @t232 @t783 @t782)) % 68.24/68.50 (define @t785 () (or @t783 @t782)) % 68.24/68.50 (define @t786 () (or @t232 @t785)) % 68.24/68.50 (define @t787 () (@list @t2 @t781)) % 68.24/68.50 (define @t788 () (forall @t787 @t786)) % 68.24/68.50 (define @t789 () (@list @t781)) % 68.24/68.50 (define @t790 () (forall @t789 @t786)) % 68.24/68.50 (define @t791 () (forall @t789 @t785)) % 68.24/68.50 (define @t792 () (or @t232 @t791)) % 68.24/68.50 (define @t793 () (forall @t7 (or @t442 @t150))) % 68.24/68.50 (define @t794 () (or @t454 @t374 (= @t679 @t739))) % 68.24/68.50 (define @t795 () (forall @t787 @t784)) % 68.24/68.50 (define @t796 () (= @t739 @t679)) % 68.24/68.50 (define @t797 () (or @t454 @t374 @t796)) % 68.24/68.50 (define @t798 () (tptp.cons @t349 @t348)) % 68.24/68.50 (define @t799 () (and @t408 @t706 @t741 @t746 @t710 @t779 @t796)) % 68.24/68.50 (define @t800 () (not (= @t2 @t669))) % 68.24/68.50 (define @t801 () (or @t254 @t670 @t800)) % 68.24/68.50 (define @t802 () (not (forall @t671 @t801))) % 68.24/68.50 (define @t803 () (or @t232 @t380 @t802)) % 68.24/68.50 (define @t804 () (or @t380 @t802)) % 68.24/68.50 (define @t805 () (or @t670 @t800)) % 68.24/68.50 (define @t806 () (or @t254 @t805)) % 68.24/68.50 (define @t807 () (forall @t671 @t806)) % 68.24/68.50 (define @t808 () (@list @t668)) % 68.24/68.50 (define @t809 () (forall @t808 @t806)) % 68.24/68.50 (define @t810 () (forall @t808 @t805)) % 68.24/68.50 (define @t811 () (or @t254 @t810)) % 68.24/68.50 (define @t812 () (= @t2 @t90)) % 68.24/68.50 (define @t813 () (forall @t16 (or @t595 (not @t812)))) % 68.24/68.50 (define @t814 () (not @t813)) % 68.24/68.50 (define @t815 () (and @t27 @t814)) % 68.24/68.50 (define @t816 () (forall @t7 (not @t815))) % 68.24/68.50 (define @t817 () (not @t816)) % 68.24/68.50 (define @t818 () (and @t42 @t812)) % 68.24/68.50 (define @t819 () (forall @t16 (not @t818))) % 68.24/68.50 (define @t820 () (not @t819)) % 68.24/68.50 (define @t821 () (not (= @t348 @t669))) % 68.24/68.50 (define @t822 () (or @t254 @t670 @t821)) % 68.24/68.50 (define @t823 () (forall @t671 @t822)) % 68.24/68.50 (define @t824 () (not @t823)) % 68.24/68.50 (define @t825 () (= @t348 tptp.nil)) % 68.24/68.50 (define @t826 () (or @t367 @t825 @t824)) % 68.24/68.50 (define @t827 () (forall @t9 @t803)) % 68.24/68.50 (define @t828 () (not @t672)) % 68.24/68.50 (define @t829 () (or @t367 @t408 @t828)) % 68.24/68.50 (define @t830 () (or @t367 @t825 @t697)) % 68.24/68.50 (define @t831 () (or @t367 @t408 @t697)) % 68.24/68.50 (define @t832 () (@quantifiers_skolemize @t672 1)) % 68.24/68.50 (define @t833 () (tptp.cons @t832 @t673)) % 68.24/68.50 (define @t834 () (= @t348 @t833)) % 68.24/68.50 (define @t835 () (not @t834)) % 68.24/68.50 (define @t836 () (tptp.ssItem @t832)) % 68.24/68.50 (define @t837 () (not @t836)) % 68.24/68.50 (define @t838 () (or @t677 @t837 @t835)) % 68.24/68.50 (define @t839 () (not @t838)) % 68.24/68.50 (define @t840 () (not (= @t833 @t348))) % 68.24/68.50 (define @t841 () (or @t677 @t837 @t840)) % 68.24/68.50 (define @t842 () (not @t841)) % 68.24/68.50 (define @t843 () (= @t356 @t674)) % 68.24/68.50 (define @t844 () (not @t843)) % 68.24/68.50 (define @t845 () (or @t372 @t455 @t445 @t677 @t844)) % 68.24/68.50 (define @t846 () (not @t845)) % 68.24/68.50 (define @t847 () (tptp.hd @t833)) % 68.24/68.50 (define @t848 () (= @t832 @t847)) % 68.24/68.50 (define @t849 () (or @t677 @t837 @t848)) % 68.24/68.50 (define @t850 () (and @t834 @t848 @t696)) % 68.24/68.50 (define @t851 () (= @t356 @t694)) % 68.24/68.50 (define @t852 () (not @t851)) % 68.24/68.50 (define @t853 () (or @t372 @t698 @t696 @t455 @t677 @t852)) % 68.24/68.50 (define @t854 () (and @t706 @t746 @t834 @t848 @t779)) % 68.24/68.50 (define @t855 () (not (= @t2 @t686))) % 68.24/68.50 (define @t856 () (or @t442 @t690 @t689 @t688 @t687 @t855)) % 68.24/68.50 (define @t857 () (= @t71 (forall @t691 @t856))) % 68.24/68.50 (define @t858 () (or @t690 @t689 @t688 @t687 @t855)) % 68.24/68.50 (define @t859 () (or @t442 @t858)) % 68.24/68.50 (define @t860 () (forall @t691 @t859)) % 68.24/68.50 (define @t861 () (@list @t684 @t685 @t683)) % 68.24/68.50 (define @t862 () (forall @t861 @t859)) % 68.24/68.50 (define @t863 () (forall @t861 @t858)) % 68.24/68.50 (define @t864 () (@var "BOUND_VARIABLE_9061" $$unsorted)) % 68.24/68.50 (define @t865 () (@var "BOUND_VARIABLE_9059" $$unsorted)) % 68.24/68.50 (define @t866 () (or @t442 @t863)) % 68.24/68.50 (define @t867 () (not (= @t2 (tptp.app @t865 (tptp.cons @t1 (tptp.cons @t12 @t864)))))) % 68.24/68.50 (define @t868 () (not (tptp.ssList @t864))) % 68.24/68.50 (define @t869 () (not (tptp.ssList @t865))) % 68.24/68.50 (define @t870 () (or @t595 @t44 @t869 @t868 @t867)) % 68.24/68.50 (define @t871 () (@list @t12 @t865 @t864)) % 68.24/68.50 (define @t872 () (forall @t871 @t870)) % 68.24/68.50 (define @t873 () (or @t869 @t868 @t867)) % 68.24/68.50 (define @t874 () (or @t595 @t44 @t873)) % 68.24/68.50 (define @t875 () (forall @t871 @t874)) % 68.24/68.50 (define @t876 () (@list @t865 @t864)) % 68.24/68.50 (define @t877 () (forall @t876 @t874)) % 68.24/68.50 (define @t878 () (forall @t876 @t873)) % 68.24/68.50 (define @t879 () (@var "BOUND_VARIABLE_9039" $$unsorted)) % 68.24/68.50 (define @t880 () (or @t595 @t44 @t878)) % 68.24/68.50 (define @t881 () (not (= @t2 (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t879)))))) % 68.24/68.50 (define @t882 () (not (tptp.ssList @t879))) % 68.24/68.50 (define @t883 () (or @t287 @t882 @t881)) % 68.24/68.50 (define @t884 () (@list @t10 @t879)) % 68.24/68.50 (define @t885 () (forall @t884 @t883)) % 68.24/68.50 (define @t886 () (or @t595 @t44 @t885)) % 68.24/68.50 (define @t887 () (or @t44 @t885)) % 68.24/68.50 (define @t888 () (or @t882 @t881)) % 68.24/68.50 (define @t889 () (or @t287 @t888)) % 68.24/68.50 (define @t890 () (forall @t884 @t889)) % 68.24/68.50 (define @t891 () (@list @t879)) % 68.24/68.50 (define @t892 () (forall @t891 @t889)) % 68.24/68.50 (define @t893 () (forall @t891 @t888)) % 68.24/68.50 (define @t894 () (or @t287 @t893)) % 68.24/68.50 (define @t895 () (= @t2 @t61)) % 68.24/68.50 (define @t896 () (not @t895)) % 68.24/68.50 (define @t897 () (or @t628 @t896)) % 68.24/68.50 (define @t898 () (forall @t41 @t897)) % 68.24/68.50 (define @t899 () (or @t287 @t898)) % 68.24/68.50 (define @t900 () (forall @t14 @t899)) % 68.24/68.50 (define @t901 () (or @t44 @t900)) % 68.24/68.50 (define @t902 () (or @t44 @t899)) % 68.24/68.50 (define @t903 () (or @t287 @t44 @t898)) % 68.24/68.50 (define @t904 () (or @t44 @t898)) % 68.24/68.50 (define @t905 () (or @t44 @t897)) % 68.24/68.50 (define @t906 () (or @t628 @t896 @t44)) % 68.24/68.50 (define @t907 () (=> @t895 @t44)) % 68.24/68.50 (define @t908 () (not (= @t356 @t686))) % 68.24/68.50 (define @t909 () (or @t442 @t690 @t689 @t688 @t687 @t908)) % 68.24/68.50 (define @t910 () (forall @t691 @t909)) % 68.24/68.50 (define @t911 () (tptp.equalelemsP @t356)) % 68.24/68.50 (define @t912 () (= @t911 @t910)) % 68.24/68.50 (define @t913 () (or @t376 @t912)) % 68.24/68.50 (define @t914 () (forall @t9 (or @t232 @t857))) % 68.24/68.50 (define @t915 () (= @t911 @t692)) % 68.24/68.50 (define @t916 () (or @t376 @t915)) % 68.24/68.50 (define @t917 () (tptp.equalelemsP @t554)) % 68.24/68.50 (define @t918 () (or @t556 @t917)) % 68.24/68.50 (define @t919 () (and @t524 @t541 @t917)) % 68.24/68.50 (define @t920 () (not @t527)) % 68.24/68.50 (define @t921 () (not (= @t523 @t356))) % 68.24/68.50 (define @t922 () (or @t526 @t921)) % 68.24/68.50 (define @t923 () (not @t922)) % 68.24/68.50 (define @t924 () (not @t359)) % 68.24/68.50 (define @t925 () (not @t503)) % 68.24/68.50 (define @t926 () (and @t483 @t501 @t358)) % 68.24/68.50 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 68.24/68.50 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 68.24/68.50 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 68.24/68.50 (assume @p4 @t24) % 68.24/68.50 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 68.24/68.50 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 68.24/68.50 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 68.24/68.50 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t42 (forall @t14 (=> @t13 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (=> @t37 (not (and @t32 @t31))))))))))))))))) % 68.24/68.50 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t42 (forall @t14 (=> @t13 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (=> @t37 (or @t32 @t31)))))))))))))))) % 68.24/68.50 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t42 (forall @t14 (=> @t13 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (=> @t37 (or @t43 (tptp.lt @t12 @t1))))))))))))))))) % 68.24/68.50 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t42 (forall @t14 (=> @t13 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (=> @t37 @t32))))))))))))))) % 68.24/68.50 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t42 (forall @t14 (=> @t13 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (=> @t37 @t43))))))))))))))) % 68.24/68.50 (assume @p13 @t60) % 68.24/68.50 (assume @p14 @t74) % 68.24/68.50 (assume @p15 @t77) % 68.24/68.50 (assume @p16 @t82) % 68.24/68.50 (assume @p17 @t83) % 68.24/68.50 (assume @p18 @t88) % 68.24/68.50 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t42 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t89))))))))))) % 68.24/68.50 (assume @p20 @t98) % 68.24/68.50 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t78))))))) % 68.24/68.50 (assume @p22 @t104) % 68.24/68.50 (assume @p23 @t109) % 68.24/68.50 (assume @p24 (forall @t9 (=> @t17 (=> @t101 (tptp.ssList @t110))))) % 68.24/68.50 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t78) @t2)))))) % 68.24/68.50 (assume @p26 @t115) % 68.24/68.50 (assume @p27 @t122) % 68.24/68.50 (assume @p28 @t125) % 68.24/68.50 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t127 @t126) @t3)))))) % 68.24/68.50 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t42 (=> (and @t127 @t32) (tptp.leq @t2 @t12))))))))) % 68.24/68.50 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 68.24/68.50 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t128 @t126)))))) % 68.24/68.50 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t130 (not @t129))))))) % 68.24/68.50 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t42 (=> (and @t130 @t43) @t131)))))))) % 68.24/68.50 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t132 @t129)))))) % 68.24/68.50 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t133))))))))) % 68.24/68.50 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t133))))))))) % 68.24/68.50 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 68.24/68.50 (assume @p39 (not (tptp.singletonP tptp.nil))) % 68.24/68.50 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 68.24/68.50 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 68.24/68.50 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 68.24/68.50 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 68.24/68.50 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 68.24/68.50 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 68.24/68.50 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t95)))) % 68.24/68.50 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 68.24/68.50 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 68.24/68.50 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 68.24/68.50 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t134 @t1))))))))) % 68.24/68.50 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 68.24/68.50 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t95)))) % 68.24/68.50 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 @t135) (tptp.segmentP @t2 @t12))))))))) % 68.24/68.50 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 @t136) @t3)))))) % 68.24/68.50 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 68.24/68.50 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t30 (tptp.segmentP (tptp.app @t134 @t10) @t1))))))))))) % 68.24/68.50 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 68.24/68.50 (assume @p58 @t139) % 68.24/68.50 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t140)))) % 68.24/68.50 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 68.24/68.50 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t140)))) % 68.24/68.50 (assume @p62 (tptp.totalorderP tptp.nil)) % 68.24/68.50 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t140)))) % 68.24/68.50 (assume @p64 (tptp.strictorderP tptp.nil)) % 68.24/68.50 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t140)))) % 68.24/68.50 (assume @p66 (tptp.totalorderedP tptp.nil)) % 68.24/68.50 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t144) (or @t142 (and @t143 (tptp.totalorderedP @t1) (tptp.leq @t2 @t141))))))))) % 68.24/68.50 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t140)))) % 68.24/68.50 (assume @p69 (tptp.strictorderedP tptp.nil)) % 68.24/68.50 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t144) (or @t142 (and @t143 (tptp.strictorderedP @t1) (tptp.lt @t2 @t141))))))))) % 68.24/68.50 (assume @p71 @t146) % 68.24/68.50 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 68.24/68.50 (assume @p73 @t148) % 68.24/68.50 (assume @p74 (tptp.equalelemsP tptp.nil)) % 68.24/68.50 (assume @p75 (forall @t9 (=> @t17 (=> @t101 (exists @t7 (and @t6 (= @t99 @t1))))))) % 68.24/68.50 (assume @p76 (forall @t9 (=> @t17 (=> @t101 (exists @t7 (and @t27 (= @t110 @t1))))))) % 68.24/68.50 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t143 @t101 (= @t141 @t99) (= (tptp.tl @t1) @t110)) @t89)))))) % 68.24/68.50 (assume @p78 (forall @t9 (=> @t17 (=> @t101 (= (tptp.cons @t99 @t110) @t2))))) % 68.24/68.50 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t111) @t149)))))))) % 68.24/68.50 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t116) @t149)))))))) % 68.24/68.50 (assume @p81 @t153) % 68.24/68.50 (assume @p82 @t159) % 68.24/68.50 (assume @p83 @t166) % 68.24/68.50 (assume @p84 @t169) % 68.24/68.50 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t101 (= (tptp.hd @t111) @t99))))))) % 68.24/68.50 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t101 (= (tptp.tl @t111) (tptp.app @t110 @t1)))))))) % 68.24/68.50 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t128 (tptp.geq @t1 @t2)) @t3)))))) % 68.24/68.50 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t42 (=> (and @t128 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 68.24/68.50 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 68.24/68.50 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 68.24/68.50 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t42 (=> (and @t127 @t43) @t131)))))))) % 68.24/68.50 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t127 (or @t3 @t130))))))) % 68.24/68.50 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t130 (and @t4 @t127))))))) % 68.24/68.50 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t132 (not (tptp.gt @t1 @t2)))))))) % 68.24/68.50 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t42 (=> (and @t132 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 68.24/68.50 (assume @p96 @t207) % 68.24/68.50 (assume @p97 true) % 68.24/68.50 (step @p98 :rule aci_norm :args ((= (or @t223 @t222 @t221 @t220 @t219 @t218 false @t217 @t216 @t215) @t224))) % 68.24/68.50 (step @p99 :rule refl :args (@t215)) % 68.24/68.50 (step @p100 :rule refl :args (@t216)) % 68.24/68.50 (step @p101 :rule refl :args (@t217)) % 68.24/68.50 (step @p102 :rule evaluate :args ((not true))) % 68.24/68.50 (step @p103 :rule eq-refl :args (@t214)) % 68.24/68.50 (step @p104 :rule cong :premises (@p103) :args (@t225)) % 68.24/68.50 (step @p105 :rule trans :premises (@p104 @p102)) % 68.24/68.50 (step @p106 :rule refl :args (@t218)) % 68.24/68.50 (step @p107 :rule refl :args (@t219)) % 68.24/68.50 (step @p108 :rule refl :args (@t220)) % 68.24/68.50 (step @p109 :rule refl :args (@t221)) % 68.24/68.50 (step @p110 :rule refl :args (@t222)) % 68.24/68.50 (step @p111 :rule refl :args (@t223)) % 68.24/68.50 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108 @p107 @p106 @p105 @p101 @p100 @p99) :args (@t226)) % 68.24/68.50 (step @p113 :rule trans :premises (@p112 @p98)) % 68.24/68.50 (step @p114 :rule cong :premises (@p113) :args ((forall @t227 @t226))) % 68.24/68.50 (step @p115 :rule quant-var-elim-eq :args ((= (forall @t9 @t233) @t226))) % 68.24/68.50 (step @p116 :rule aci_norm :args ((= @t234 @t233))) % 68.24/68.50 (step @p117 :rule cong :premises (@p116) :args (@t235)) % 68.24/68.50 (step @p118 :rule trans :premises (@p117 @p115)) % 68.24/68.50 (step @p119 :rule cong :premises (@p118) :args (@t236)) % 68.24/68.50 (step @p120 :rule quant-merge-prenex :args ((= @t236 @t237))) % 68.24/68.50 (step @p121 :rule symm :premises (@p120)) % 68.24/68.50 (step @p122 :rule quant_var_reordering :args ((= (forall @t238 @t234) @t237))) % 68.24/68.50 (step @p123 :rule trans :premises (@p122 @p121 @p119)) % 68.24/68.50 (step @p124 :rule trans :premises (@p123 @p114)) % 68.24/68.50 (step @p125 :rule aci_norm :args ((= @t241 @t234))) % 68.24/68.50 (step @p126 :rule cong :premises (@p125) :args (@t242)) % 68.24/68.50 (step @p127 :rule trans :premises (@p126 @p124)) % 68.24/68.50 (step @p128 :rule quant-merge-prenex :args ((= (forall @t9 @t243) @t242))) % 68.24/68.50 (step @p129 :rule alpha_equiv :args (@t244 (@list @t208) @t245)) % 68.24/68.50 (step @p130 :rule alpha_equiv :args (@t246 (@list @t212 @t211 @t213 @t210) (@list @t34 @t249 @t248 @t247))) % 68.24/68.50 (step @p131 :rule refl :args (@t232)) % 68.24/68.50 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args (@t250)) % 68.24/68.50 (step @p133 :rule quant-miniscope-or :args ((= @t243 @t250))) % 68.24/68.50 (step @p134 :rule trans :premises (@p133 @p132)) % 68.24/68.50 (step @p135 :rule symm :premises (@p134)) % 68.24/68.50 (step @p136 :rule cong :premises (@p135) :args ((forall @t9 @t266))) % 68.24/68.50 (step @p137 :rule trans :premises (@p136 @p128)) % 68.24/68.50 (step @p138 :rule trans :premises (@p137 @p127)) % 68.24/68.50 (step @p139 :rule aci_norm :args ((= (or @t232 @t267) @t266))) % 68.24/68.50 (step @p140 :rule bool-impl-elim :args (@t17 @t267)) % 68.24/68.50 (step @p141 :rule trans :premises (@p140 @p139)) % 68.24/68.50 (step @p142 :rule cong :premises (@p141) :args ((forall @t9 (=> @t17 @t267)))) % 68.24/68.50 (step @p143 :rule trans :premises (@p142 @p138)) % 68.24/68.50 (step @p144 :rule quant-miniscope-or :args ((= (forall @t7 @t268) @t267))) % 68.24/68.50 (step @p145 :rule aci_norm :args ((= @t269 @t268))) % 68.24/68.50 (step @p146 :rule cong :premises (@p145) :args ((forall @t7 @t269))) % 68.24/68.50 (step @p147 :rule trans :premises (@p146 @p144)) % 68.24/68.50 (step @p148 :rule aci_norm :args ((= (or @t254 @t270) @t269))) % 68.24/68.50 (step @p149 :rule bool-impl-elim :args (@t27 @t270)) % 68.24/68.50 (step @p150 :rule trans :premises (@p149 @p148)) % 68.24/68.50 (step @p151 :rule cong :premises (@p150) :args ((forall @t7 (=> @t27 @t270)))) % 68.24/68.50 (step @p152 :rule trans :premises (@p151 @p147)) % 68.24/68.50 (step @p153 :rule aci_norm :args ((= (or @t265 @t254 @t271) @t270))) % 68.24/68.50 (step @p154 :rule aci_norm :args ((= (or @t232 false @t253 @t252) @t271))) % 68.24/68.50 (step @p155 :rule refl :args (@t252)) % 68.24/68.50 (step @p156 :rule refl :args (@t253)) % 68.24/68.50 (step @p157 :rule eq-refl :args (@t2)) % 68.24/68.50 (step @p158 :rule cong :premises (@p157) :args (@t272)) % 68.24/68.50 (step @p159 :rule trans :premises (@p158 @p102)) % 68.24/68.50 (step @p160 :rule refl :args (@t232)) % 68.24/68.50 (step @p161 :rule nary_cong :premises (@p160 @p159 @p156 @p155) :args (@t273)) % 68.24/68.50 (step @p162 :rule trans :premises (@p161 @p154)) % 68.24/68.50 (step @p163 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t149) @t276 @t196 @t275 @t274)) @t273))) % 68.24/68.50 (step @p164 :rule refl :args (@t274)) % 68.24/68.50 (step @p165 :rule refl :args (@t275)) % 68.24/68.50 (step @p166 :rule refl :args (@t196)) % 68.24/68.50 (step @p167 :rule refl :args (@t276)) % 68.24/68.50 (step @p168 :rule eq-symm :args (@t2 @t12)) % 68.24/68.50 (step @p169 :rule cong :premises (@p168) :args (@t196)) % 68.24/68.50 (step @p170 :rule nary_cong :premises (@p169 @p167 @p166 @p165 @p164) :args (@t277)) % 68.24/68.50 (step @p171 :rule aci_norm :args ((= @t278 @t277))) % 68.24/68.50 (step @p172 :rule trans :premises (@p171 @p170)) % 68.24/68.50 (step @p173 :rule cong :premises (@p172) :args (@t279)) % 68.24/68.50 (step @p174 :rule trans :premises (@p173 @p163)) % 68.24/68.50 (step @p175 :rule trans :premises (@p174 @p162)) % 68.24/68.50 (step @p176 :rule refl :args (@t254)) % 68.24/68.50 (step @p177 :rule refl :args (@t265)) % 68.24/68.50 (step @p178 :rule nary_cong :premises (@p177 @p176 @p175) :args (@t280)) % 68.24/68.50 (step @p179 :rule trans :premises (@p178 @p153)) % 68.24/68.50 (step @p180 :rule quant-miniscope-or :args ((= (forall @t16 @t281) @t280))) % 68.24/68.50 (step @p181 :rule aci_norm :args ((= @t282 @t281))) % 68.24/68.50 (step @p182 :rule cong :premises (@p181) :args ((forall @t16 @t282))) % 68.24/68.50 (step @p183 :rule trans :premises (@p182 @p180)) % 68.24/68.50 (step @p184 :rule trans :premises (@p183 @p179)) % 68.24/68.50 (step @p185 :rule aci_norm :args ((= (or @t276 @t283) @t282))) % 68.24/68.50 (step @p186 :rule bool-impl-elim :args (@t15 @t283)) % 68.24/68.50 (step @p187 :rule trans :premises (@p186 @p185)) % 68.24/68.50 (step @p188 :rule cong :premises (@p187) :args ((forall @t16 (=> @t15 @t283)))) % 68.24/68.50 (step @p189 :rule trans :premises (@p188 @p184)) % 68.24/68.50 (step @p190 :rule aci_norm :args ((= (or @t196 @t265 @t284) @t283))) % 68.24/68.50 (step @p191 :rule aci_norm :args ((= (or @t254 false @t275 @t274) @t284))) % 68.24/68.50 (step @p192 :rule refl :args (@t274)) % 68.24/68.50 (step @p193 :rule refl :args (@t275)) % 68.24/68.50 (step @p194 :rule eq-refl :args (@t1)) % 68.24/68.50 (step @p195 :rule cong :premises (@p194) :args (@t285)) % 68.24/68.50 (step @p196 :rule trans :premises (@p195 @p102)) % 68.24/68.50 (step @p197 :rule nary_cong :premises (@p176 @p196 @p193 @p192) :args (@t286)) % 68.24/68.50 (step @p198 :rule trans :premises (@p197 @p191)) % 68.24/68.50 (step @p199 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t287 @t197 @t195 @t171)) @t286))) % 68.24/68.50 (step @p200 :rule refl :args (@t171)) % 68.24/68.50 (step @p201 :rule refl :args (@t195)) % 68.24/68.50 (step @p202 :rule refl :args (@t197)) % 68.24/68.50 (step @p203 :rule refl :args (@t287)) % 68.24/68.50 (step @p204 :rule eq-symm :args (@t1 @t10)) % 68.24/68.50 (step @p205 :rule cong :premises (@p204) :args (@t197)) % 68.24/68.50 (step @p206 :rule nary_cong :premises (@p205 @p203 @p202 @p201 @p200) :args (@t288)) % 68.24/68.50 (step @p207 :rule aci_norm :args ((= @t289 @t288))) % 68.24/68.50 (step @p208 :rule trans :premises (@p207 @p206)) % 68.24/68.50 (step @p209 :rule cong :premises (@p208) :args (@t290)) % 68.24/68.50 (step @p210 :rule trans :premises (@p209 @p199)) % 68.24/68.50 (step @p211 :rule trans :premises (@p210 @p198)) % 68.24/68.50 (step @p212 :rule refl :args (@t196)) % 68.24/68.50 (step @p213 :rule nary_cong :premises (@p212 @p177 @p211) :args (@t291)) % 68.24/68.50 (step @p214 :rule trans :premises (@p213 @p190)) % 68.24/68.50 (step @p215 :rule quant-miniscope-or :args ((= (forall @t14 @t292) @t291))) % 68.24/68.50 (step @p216 :rule aci_norm :args ((= @t293 @t292))) % 68.24/68.50 (step @p217 :rule cong :premises (@p216) :args ((forall @t14 @t293))) % 68.24/68.50 (step @p218 :rule trans :premises (@p217 @p215)) % 68.24/68.50 (step @p219 :rule trans :premises (@p218 @p214)) % 68.24/68.50 (step @p220 :rule aci_norm :args ((= (or @t287 @t294) @t293))) % 68.24/68.50 (step @p221 :rule bool-impl-elim :args (@t13 @t294)) % 68.24/68.50 (step @p222 :rule trans :premises (@p221 @p220)) % 68.24/68.50 (step @p223 :rule cong :premises (@p222) :args ((forall @t14 (=> @t13 @t294)))) % 68.24/68.50 (step @p224 :rule trans :premises (@p223 @p219)) % 68.24/68.50 (step @p225 :rule refl :args (@t171)) % 68.24/68.50 (step @p226 :rule aci_norm :args ((= @t296 @t263))) % 68.24/68.50 (step @p227 :rule cong :premises (@p226) :args (@t297)) % 68.24/68.50 (step @p228 :rule quant-merge-prenex :args ((= (forall @t41 @t299) @t297))) % 68.24/68.50 (step @p229 :rule alpha_equiv :args (@t300 (@list @t249 @t248 @t247) (@list @t33 @t302 @t301))) % 68.24/68.50 (step @p230 :rule refl :args (@t262)) % 68.24/68.50 (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t303)) % 68.24/68.50 (step @p232 :rule quant-miniscope-or :args ((= @t299 @t303))) % 68.24/68.50 (step @p233 :rule trans :premises (@p232 @p231)) % 68.24/68.50 (step @p234 :rule symm :premises (@p233)) % 68.24/68.50 (step @p235 :rule cong :premises (@p234) :args ((forall @t41 (or @t262 @t310)))) % 68.24/68.50 (step @p236 :rule trans :premises (@p235 @p228)) % 68.24/68.50 (step @p237 :rule trans :premises (@p236 @p227)) % 68.24/68.50 (step @p238 :rule bool-impl-elim :args (@t192 @t310)) % 68.24/68.50 (step @p239 :rule cong :premises (@p238) :args ((forall @t41 (=> @t192 @t310)))) % 68.24/68.50 (step @p240 :rule trans :premises (@p239 @p237)) % 68.24/68.50 (step @p241 :rule aci_norm :args ((= @t312 @t308))) % 68.24/68.50 (step @p242 :rule cong :premises (@p241) :args (@t313)) % 68.24/68.50 (step @p243 :rule quant-merge-prenex :args ((= (forall @t39 @t315) @t313))) % 68.24/68.50 (step @p244 :rule alpha_equiv :args (@t316 (@list @t302 @t301) (@list @t176 @t317))) % 68.24/68.50 (step @p245 :rule refl :args (@t172)) % 68.24/68.50 (step @p246 :rule refl :args (@t307)) % 68.24/68.50 (step @p247 :rule nary_cong :premises (@p246 @p245 @p244) :args (@t318)) % 68.24/68.50 (step @p248 :rule quant-miniscope-or :args ((= @t315 @t318))) % 68.24/68.50 (step @p249 :rule trans :premises (@p248 @p247)) % 68.24/68.50 (step @p250 :rule symm :premises (@p249)) % 68.24/68.50 (step @p251 :rule cong :premises (@p250) :args ((forall @t39 @t325))) % 68.24/68.50 (step @p252 :rule trans :premises (@p251 @p243)) % 68.24/68.50 (step @p253 :rule trans :premises (@p252 @p242)) % 68.24/68.50 (step @p254 :rule aci_norm :args ((= (or @t307 @t326) @t325))) % 68.24/68.50 (step @p255 :rule bool-impl-elim :args (@t189 @t326)) % 68.24/68.50 (step @p256 :rule trans :premises (@p255 @p254)) % 68.24/68.50 (step @p257 :rule cong :premises (@p256) :args ((forall @t39 (=> @t189 @t326)))) % 68.24/68.50 (step @p258 :rule trans :premises (@p257 @p253)) % 68.24/68.50 (step @p259 :rule aci_norm :args ((= @t328 @t322))) % 68.24/68.50 (step @p260 :rule cong :premises (@p259) :args (@t329)) % 68.24/68.50 (step @p261 :rule quant-merge-prenex :args ((= (forall @t187 @t331) @t329))) % 68.24/68.50 (step @p262 :rule alpha_equiv :args (@t332 (@list @t317) (@list @t173))) % 68.24/68.50 (step @p263 :rule refl :args (@t321)) % 68.24/68.50 (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t333)) % 68.24/68.50 (step @p265 :rule quant-miniscope-or :args ((= @t331 @t333))) % 68.24/68.50 (step @p266 :rule trans :premises (@p265 @p264)) % 68.24/68.50 (step @p267 :rule symm :premises (@p266)) % 68.24/68.50 (step @p268 :rule cong :premises (@p267) :args (@t339)) % 68.24/68.50 (step @p269 :rule trans :premises (@p268 @p261)) % 68.24/68.50 (step @p270 :rule trans :premises (@p269 @p260)) % 68.24/68.50 (step @p271 :rule refl :args (@t172)) % 68.24/68.50 (step @p272 :rule nary_cong :premises (@p271 @p270) :args (@t340)) % 68.24/68.50 (step @p273 :rule quant-miniscope-or :args ((= (forall @t187 @t341) @t340))) % 68.24/68.50 (step @p274 :rule aci_norm :args ((= @t342 @t341))) % 68.24/68.50 (step @p275 :rule cong :premises (@p274) :args ((forall @t187 @t342))) % 68.24/68.50 (step @p276 :rule trans :premises (@p275 @p273)) % 68.24/68.50 (step @p277 :rule trans :premises (@p276 @p272)) % 68.24/68.50 (step @p278 :rule aci_norm :args ((= (or @t321 @t343) @t342))) % 68.24/68.50 (step @p279 :rule bool-impl-elim :args (@t185 @t343)) % 68.24/68.50 (step @p280 :rule trans :premises (@p279 @p278)) % 68.24/68.50 (step @p281 :rule cong :premises (@p280) :args ((forall @t187 (=> @t185 @t343)))) % 68.24/68.50 (step @p282 :rule trans :premises (@p281 @p277)) % 68.24/68.50 (step @p283 :rule quant-miniscope-or :args ((= (forall @t183 @t344) @t343))) % 68.24/68.50 (step @p284 :rule aci_norm :args ((= @t345 @t344))) % 68.24/68.50 (step @p285 :rule cong :premises (@p284) :args ((forall @t183 @t345))) % 68.24/68.50 (step @p286 :rule trans :premises (@p285 @p283)) % 68.24/68.50 (step @p287 :rule aci_norm :args ((= (or @t335 @t346) @t345))) % 68.24/68.50 (step @p288 :rule bool-impl-elim :args (@t181 @t346)) % 68.24/68.50 (step @p289 :rule trans :premises (@p288 @p287)) % 68.24/68.50 (step @p290 :rule cong :premises (@p289) :args ((forall @t183 (=> @t181 @t346)))) % 68.24/68.50 (step @p291 :rule trans :premises (@p290 @p286)) % 68.24/68.50 (step @p292 :rule eq-symm :args (@t178 @t2)) % 68.24/68.50 (step @p293 :rule cong :premises (@p292) :args (@t179)) % 68.24/68.50 (step @p294 :rule nary_cong :premises (@p293 @p271) :args (@t180)) % 68.24/68.50 (step @p295 :rule refl :args (@t181)) % 68.24/68.50 (step @p296 :rule cong :premises (@p295 @p294) :args (@t182)) % 68.24/68.50 (step @p297 :rule cong :premises (@p296) :args (@t184)) % 68.24/68.50 (step @p298 :rule trans :premises (@p297 @p291)) % 68.24/68.50 (step @p299 :rule refl :args (@t185)) % 68.24/68.50 (step @p300 :rule cong :premises (@p299 @p298) :args (@t186)) % 68.24/68.50 (step @p301 :rule cong :premises (@p300) :args (@t188)) % 68.24/68.50 (step @p302 :rule trans :premises (@p301 @p282)) % 68.24/68.50 (step @p303 :rule refl :args (@t189)) % 68.24/68.50 (step @p304 :rule cong :premises (@p303 @p302) :args (@t190)) % 68.24/68.50 (step @p305 :rule cong :premises (@p304) :args (@t191)) % 68.24/68.50 (step @p306 :rule trans :premises (@p305 @p258)) % 68.24/68.50 (step @p307 :rule refl :args (@t192)) % 68.24/68.50 (step @p308 :rule cong :premises (@p307 @p306) :args (@t193)) % 68.24/68.50 (step @p309 :rule cong :premises (@p308) :args (@t194)) % 68.24/68.50 (step @p310 :rule trans :premises (@p309 @p240)) % 68.24/68.50 (step @p311 :rule refl :args (@t195)) % 68.24/68.50 (step @p312 :rule refl :args (@t197)) % 68.24/68.50 (step @p313 :rule nary_cong :premises (@p312 @p212 @p311 @p310 @p225) :args (@t198)) % 68.24/68.50 (step @p314 :rule refl :args (@t13)) % 68.24/68.50 (step @p315 :rule cong :premises (@p314 @p313) :args (@t199)) % 68.24/68.50 (step @p316 :rule cong :premises (@p315) :args (@t200)) % 68.24/68.50 (step @p317 :rule trans :premises (@p316 @p224)) % 68.24/68.50 (step @p318 :rule refl :args (@t15)) % 68.24/68.50 (step @p319 :rule cong :premises (@p318 @p317) :args (@t201)) % 68.24/68.50 (step @p320 :rule cong :premises (@p319) :args (@t202)) % 68.24/68.50 (step @p321 :rule trans :premises (@p320 @p189)) % 68.24/68.50 (step @p322 :rule refl :args (@t27)) % 68.24/68.50 (step @p323 :rule cong :premises (@p322 @p321) :args (@t203)) % 68.24/68.50 (step @p324 :rule cong :premises (@p323) :args (@t204)) % 68.24/68.50 (step @p325 :rule trans :premises (@p324 @p152)) % 68.24/68.50 (step @p326 :rule refl :args (@t17)) % 68.24/68.50 (step @p327 :rule cong :premises (@p326 @p325) :args (@t205)) % 68.24/68.50 (step @p328 :rule cong :premises (@p327) :args (@t206)) % 68.24/68.50 (step @p329 :rule trans :premises (@p328 @p143)) % 68.24/68.50 (step @p330 :rule cong :premises (@p329) :args (@t207)) % 68.24/68.50 (step @p331 :rule eq_resolve :premises (@p96 @p330)) % 68.24/68.50 (step @p332 :rule skolemize :premises (@p331)) % 68.24/68.50 (step @p333 :rule bool-double-not-elim :args (@t358)) % 68.24/68.50 (step @p334 :rule refl :args (@t377)) % 68.24/68.50 (step @p335 :rule nary_cong :premises (@p334 @p333) :args ((or @t377 (not @t363)))) % 68.24/68.50 (step @p336 :rule cnf_or_neg :args (@t377 7)) % 68.24/68.50 (step @p337 :rule eq_resolve :premises (@p336 @p335)) % 68.24/68.50 (step @p338 :rule reordering :premises (@p337) :args ((or @t358 @t377))) % 68.24/68.50 (step @p339 :rule chain_m_resolution :premises (@p338 @p332) :args (@t358 @t378 @t379)) % 68.24/68.50 (step @p340 :rule bool-impl-elim :args (@t17 @t381)) % 68.24/68.50 (step @p341 :rule cong :premises (@p340) :args ((forall @t9 (=> @t17 @t381)))) % 68.24/68.50 (step @p342 :rule eq-symm :args (@t380 @t137)) % 68.24/68.50 (step @p343 :rule refl :args (@t137)) % 68.24/68.50 (step @p344 :rule eq-symm :args (tptp.nil @t2)) % 68.24/68.50 (step @p345 :rule cong :premises (@p344 @p343) :args ((= @t95 @t137))) % 68.24/68.50 (step @p346 :rule trans :premises (@p345 @p342)) % 68.24/68.50 (step @p347 :rule eq-symm :args (@t137 @t95)) % 68.24/68.50 (step @p348 :rule trans :premises (@p347 @p346)) % 68.24/68.50 (step @p349 :rule cong :premises (@p326 @p348) :args (@t138)) % 68.24/68.50 (step @p350 :rule cong :premises (@p349) :args (@t139)) % 68.24/68.50 (step @p351 :rule trans :premises (@p350 @p341)) % 68.24/68.50 (step @p352 :rule eq_resolve :premises (@p58 @p351)) % 68.24/68.50 (step @p353 :rule refl :args (@t382)) % 68.24/68.50 (step @p354 :rule eq-symm :args (@t356 tptp.nil)) % 68.24/68.50 (step @p355 :rule cong :premises (@p354 @p353) :args ((= @t383 @t382))) % 68.24/68.50 (step @p356 :rule eq-symm :args (@t382 @t383)) % 68.24/68.50 (step @p357 :rule trans :premises (@p356 @p355)) % 68.24/68.50 (step @p358 :rule refl :args (@t376)) % 68.24/68.50 (step @p359 :rule nary_cong :premises (@p358 @p357) :args (@t384)) % 68.24/68.50 (step @p360 :rule refl :args (@t385)) % 68.24/68.50 (step @p361 :rule cong :premises (@p360 @p359) :args ((=> @t385 @t384))) % 68.24/68.50 (assume-push @p1589 @t385) % 68.24/68.50 (step @p363 :rule instantiate :premises (@p352) :args (@t386)) % 68.24/68.50 (step-pop @p1590 :rule scope :premises (@p363)) % 68.24/68.50 (step @p364 :rule process_scope :premises (@p1590) :args (@t384)) % 68.24/68.50 (step @p366 :rule eq_resolve :premises (@p364 @p361)) % 68.24/68.50 (step @p367 :rule implies_elim :premises (@p366)) % 68.24/68.50 (step @p368 :rule chain_m_resolution :premises (@p367 @p352) :args (@t389 @t390 (@list @t385))) % 68.24/68.50 (step @p369 :rule bool-double-not-elim :args (@t375)) % 68.24/68.50 (step @p370 :rule nary_cong :premises (@p334 @p369) :args ((or @t377 (not @t376)))) % 68.24/68.50 (step @p371 :rule cnf_or_neg :args (@t377 0)) % 68.24/68.50 (step @p372 :rule eq_resolve :premises (@p371 @p370)) % 68.24/68.50 (step @p373 :rule reordering :premises (@p372) :args ((or @t375 @t377))) % 68.24/68.50 (step @p374 :rule chain_m_resolution :premises (@p373 @p332) :args (@t375 @t378 @t379)) % 68.24/68.50 (step @p375 :rule cnf_or_pos :args (@t389)) % 68.24/68.50 (step @p376 :rule reordering :premises (@p375) :args ((or @t376 @t388 (not @t389)))) % 68.24/68.50 (step @p377 :rule chain_m_resolution :premises (@p376 @p374 @p368) :args (@t388 @t391 (@list @t375 @t389))) % 68.24/68.50 (step @p378 :rule refl :args (@t380)) % 68.24/68.50 (step @p379 :rule eq-symm :args (@t392 tptp.nil)) % 68.24/68.50 (step @p380 :rule nary_cong :premises (@p379 @p378) :args (@t393)) % 68.24/68.50 (step @p381 :rule refl :args (@t394)) % 68.24/68.50 (step @p382 :rule cong :premises (@p381 @p380) :args (@t395)) % 68.24/68.50 (step @p383 :rule refl :args (@t396)) % 68.24/68.50 (step @p384 :rule nary_cong :premises (@p160 @p383 @p382) :args (@t397)) % 68.24/68.50 (step @p385 :rule aci_norm :args ((= @t399 @t397))) % 68.24/68.50 (step @p386 :rule trans :premises (@p385 @p384)) % 68.24/68.50 (step @p387 :rule cong :premises (@p386) :args (@t401)) % 68.24/68.50 (step @p388 :rule quant-merge-prenex :args ((= (forall @t9 @t403) @t401))) % 68.24/68.50 (step @p389 :rule alpha_equiv :args (@t404 (@list @t392) @t245)) % 68.24/68.50 (step @p390 :rule nary_cong :premises (@p131 @p389) :args (@t405)) % 68.24/68.50 (step @p391 :rule quant-miniscope-or :args ((= @t403 @t405))) % 68.24/68.50 (step @p392 :rule trans :premises (@p391 @p390)) % 68.24/68.50 (step @p393 :rule symm :premises (@p392)) % 68.24/68.50 (step @p394 :rule cong :premises (@p393) :args ((forall @t9 (or @t232 @t407)))) % 68.24/68.50 (step @p395 :rule trans :premises (@p394 @p388)) % 68.24/68.50 (step @p396 :rule trans :premises (@p395 @p387)) % 68.24/68.50 (step @p397 :rule bool-impl-elim :args (@t17 @t407)) % 68.24/68.50 (step @p398 :rule cong :premises (@p397) :args ((forall @t9 (=> @t17 @t407)))) % 68.24/68.50 (step @p399 :rule trans :premises (@p398 @p396)) % 68.24/68.50 (step @p400 :rule bool-impl-elim :args (@t27 @t406)) % 68.24/68.50 (step @p401 :rule cong :premises (@p400) :args ((forall @t7 (=> @t27 @t406)))) % 68.24/68.50 (step @p402 :rule eq-symm :args (tptp.nil @t1)) % 68.24/68.50 (step @p403 :rule nary_cong :premises (@p402 @p344) :args (@t160)) % 68.24/68.50 (step @p404 :rule refl :args (@t161)) % 68.24/68.50 (step @p405 :rule cong :premises (@p404 @p403) :args (@t162)) % 68.24/68.50 (step @p406 :rule cong :premises (@p322 @p405) :args (@t163)) % 68.24/68.50 (step @p407 :rule cong :premises (@p406) :args (@t164)) % 68.24/68.50 (step @p408 :rule trans :premises (@p407 @p401)) % 68.24/68.50 (step @p409 :rule cong :premises (@p326 @p408) :args (@t165)) % 68.24/68.50 (step @p410 :rule cong :premises (@p409) :args (@t166)) % 68.24/68.50 (step @p411 :rule trans :premises (@p410 @p399)) % 68.24/68.50 (step @p412 :rule eq_resolve :premises (@p83 @p411)) % 68.24/68.50 (step @p413 :rule eq-symm :args (@t355 tptp.nil)) % 68.24/68.50 (step @p414 :rule refl :args (@t408)) % 68.24/68.50 (step @p415 :rule nary_cong :premises (@p414 @p413) :args (@t409)) % 68.24/68.50 (step @p416 :rule refl :args (@t387)) % 68.24/68.50 (step @p417 :rule cong :premises (@p416 @p415) :args (@t410)) % 68.24/68.50 (step @p418 :rule refl :args (@t367)) % 68.24/68.50 (step @p419 :rule refl :args (@t412)) % 68.24/68.50 (step @p420 :rule nary_cong :premises (@p419 @p418 @p417) :args (@t413)) % 68.24/68.50 (step @p421 :rule refl :args (@t414)) % 68.24/68.50 (step @p422 :rule cong :premises (@p421 @p420) :args ((=> @t414 @t413))) % 68.24/68.50 (assume-push @p1591 @t414) % 68.24/68.50 (step @p424 :rule instantiate :premises (@p412) :args ((@list @t355 @t348))) % 68.24/68.50 (step-pop @p1592 :rule scope :premises (@p424)) % 68.24/68.50 (step @p425 :rule process_scope :premises (@p1592) :args (@t413)) % 68.24/68.50 (step @p427 :rule eq_resolve :premises (@p425 @p422)) % 68.24/68.50 (step @p428 :rule implies_elim :premises (@p427)) % 68.24/68.50 (step @p429 :rule chain_m_resolution :premises (@p428 @p412) :args (@t418 @t390 @t419)) % 68.24/68.50 (step @p430 :rule aci_norm :args ((= @t424 (or @t232 @t422 @t421)))) % 68.24/68.50 (step @p431 :rule cong :premises (@p430) :args (@t425)) % 68.24/68.50 (step @p432 :rule quant-merge-prenex :args ((= (forall @t9 @t427) @t425))) % 68.24/68.50 (step @p433 :rule alpha_equiv :args (@t428 (@list @t420) @t245)) % 68.24/68.50 (step @p434 :rule nary_cong :premises (@p131 @p433) :args (@t429)) % 68.24/68.50 (step @p435 :rule quant-miniscope-or :args ((= @t427 @t429))) % 68.24/68.50 (step @p436 :rule trans :premises (@p435 @p434)) % 68.24/68.50 (step @p437 :rule symm :premises (@p436)) % 68.24/68.50 (step @p438 :rule cong :premises (@p437) :args ((forall @t9 (or @t232 @t430)))) % 68.24/68.50 (step @p439 :rule trans :premises (@p438 @p432)) % 68.24/68.50 (step @p440 :rule trans :premises (@p439 @p431)) % 68.24/68.50 (step @p441 :rule bool-impl-elim :args (@t17 @t430)) % 68.24/68.50 (step @p442 :rule cong :premises (@p441) :args ((forall @t9 (=> @t17 @t430)))) % 68.24/68.50 (step @p443 :rule trans :premises (@p442 @p440)) % 68.24/68.50 (step @p444 :rule bool-impl-elim :args (@t27 @t112)) % 68.24/68.50 (step @p445 :rule cong :premises (@p444) :args (@t113)) % 68.24/68.50 (step @p446 :rule cong :premises (@p326 @p445) :args (@t114)) % 68.24/68.50 (step @p447 :rule cong :premises (@p446) :args (@t115)) % 68.24/68.50 (step @p448 :rule trans :premises (@p447 @p443)) % 68.24/68.50 (step @p449 :rule eq_resolve :premises (@p26 @p448)) % 68.24/68.50 (step @p450 :rule instantiate :premises (@p449) :args (@t431)) % 68.24/68.50 (step @p451 :rule instantiate :premises (@p449) :args ((@list @t353 @t352))) % 68.24/68.50 (step @p452 :rule aci_norm :args ((= @t436 (or @t232 @t434 @t433)))) % 68.24/68.50 (step @p453 :rule cong :premises (@p452) :args (@t437)) % 68.24/68.50 (step @p454 :rule quant-merge-prenex :args ((= (forall @t9 @t439) @t437))) % 68.24/68.50 (step @p455 :rule alpha_equiv :args (@t440 (@list @t432) @t245)) % 68.24/68.50 (step @p456 :rule nary_cong :premises (@p131 @p455) :args (@t441)) % 68.24/68.50 (step @p457 :rule quant-miniscope-or :args ((= @t439 @t441))) % 68.24/68.50 (step @p458 :rule trans :premises (@p457 @p456)) % 68.24/68.50 (step @p459 :rule symm :premises (@p458)) % 68.24/68.50 (step @p460 :rule cong :premises (@p459) :args ((forall @t9 (or @t232 @t443)))) % 68.34/68.50 (step @p461 :rule trans :premises (@p460 @p454)) % 68.34/68.50 (step @p462 :rule trans :premises (@p461 @p453)) % 68.34/68.50 (step @p463 :rule bool-impl-elim :args (@t17 @t443)) % 68.34/68.50 (step @p464 :rule cong :premises (@p463) :args ((forall @t9 (=> @t17 @t443)))) % 68.34/68.50 (step @p465 :rule trans :premises (@p464 @p462)) % 68.34/68.50 (step @p466 :rule bool-impl-elim :args (@t6 @t79)) % 68.34/68.50 (step @p467 :rule cong :premises (@p466) :args (@t80)) % 68.34/68.50 (step @p468 :rule cong :premises (@p326 @p467) :args (@t81)) % 68.34/68.50 (step @p469 :rule cong :premises (@p468) :args (@t82)) % 68.34/68.50 (step @p470 :rule trans :premises (@p469 @p465)) % 68.34/68.50 (step @p471 :rule eq_resolve :premises (@p16 @p470)) % 68.34/68.50 (step @p472 :rule instantiate :premises (@p471) :args ((@list tptp.nil @t351))) % 68.34/68.50 (step @p473 :rule bool-double-not-elim :args (@t373)) % 68.34/68.50 (step @p474 :rule nary_cong :premises (@p334 @p473) :args ((or @t377 (not @t374)))) % 68.34/68.50 (step @p475 :rule cnf_or_neg :args (@t377 1)) % 68.34/68.50 (step @p476 :rule eq_resolve :premises (@p475 @p474)) % 68.34/68.50 (step @p477 :rule reordering :premises (@p476) :args ((or @t373 @t377))) % 68.34/68.50 (step @p478 :rule chain_m_resolution :premises (@p477 @p332) :args (@t373 @t378 @t379)) % 68.34/68.50 (step @p479 :rule cnf_or_pos :args (@t446)) % 68.34/68.50 (step @p480 :rule reordering :premises (@p479) :args ((or @t445 @t374 @t444 (not @t446)))) % 68.34/68.50 (step @p481 :rule chain_m_resolution :premises (@p480 @p17 @p478 @p472) :args (@t444 @t447 (@list @t83 @t373 @t446))) % 68.34/68.50 (step @p482 :rule bool-double-not-elim :args (@t368)) % 68.34/68.50 (step @p483 :rule nary_cong :premises (@p334 @p482) :args ((or @t377 (not @t369)))) % 68.34/68.50 (step @p484 :rule cnf_or_neg :args (@t377 4)) % 68.34/68.50 (step @p485 :rule eq_resolve :premises (@p484 @p483)) % 68.34/68.50 (step @p486 :rule reordering :premises (@p485) :args ((or @t368 @t377))) % 68.34/68.50 (step @p487 :rule chain_m_resolution :premises (@p486 @p332) :args (@t368 @t378 @t379)) % 68.34/68.50 (step @p488 :rule cnf_or_pos :args (@t450)) % 68.34/68.50 (step @p489 :rule reordering :premises (@p488) :args ((or @t369 @t449 @t448 (not @t450)))) % 68.34/68.50 (step @p490 :rule chain_m_resolution :premises (@p489 @p487 @p481 @p451) :args (@t448 @t447 (@list @t368 @t444 @t450))) % 68.34/68.50 (step @p491 :rule instantiate :premises (@p471) :args (@t451)) % 68.34/68.50 (step @p492 :rule bool-double-not-elim :args (@t371)) % 68.34/68.50 (step @p493 :rule nary_cong :premises (@p334 @p492) :args ((or @t377 (not @t372)))) % 68.34/68.50 (step @p494 :rule cnf_or_neg :args (@t377 2)) % 68.34/68.50 (step @p495 :rule eq_resolve :premises (@p494 @p493)) % 68.34/68.50 (step @p496 :rule reordering :premises (@p495) :args ((or @t371 @t377))) % 68.34/68.50 (step @p497 :rule chain_m_resolution :premises (@p496 @p332) :args (@t371 @t378 @t379)) % 68.34/68.50 (step @p498 :rule cnf_or_pos :args (@t453)) % 68.34/68.50 (step @p499 :rule reordering :premises (@p498) :args ((or @t445 @t372 @t452 (not @t453)))) % 68.34/68.50 (step @p500 :rule chain_m_resolution :premises (@p499 @p17 @p497 @p491) :args (@t452 @t447 (@list @t83 @t371 @t453))) % 68.34/68.50 (step @p501 :rule cnf_or_pos :args (@t456)) % 68.34/68.50 (step @p502 :rule reordering :premises (@p501) :args ((or @t454 @t455 @t411 (not @t456)))) % 68.34/68.50 (step @p503 :rule chain_m_resolution :premises (@p502 @p500 @p490 @p450) :args (@t411 @t447 (@list @t452 @t448 @t456))) % 68.34/68.50 (step @p504 :rule bool-double-not-elim :args (@t366)) % 68.34/68.50 (step @p505 :rule nary_cong :premises (@p334 @p504) :args ((or @t377 (not @t367)))) % 68.34/68.50 (step @p506 :rule cnf_or_neg :args (@t377 5)) % 68.34/68.50 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 68.34/68.50 (step @p508 :rule reordering :premises (@p507) :args ((or @t366 @t377))) % 68.34/68.50 (step @p509 :rule chain_m_resolution :premises (@p508 @p332) :args (@t366 @t378 @t379)) % 68.34/68.50 (step @p510 :rule cnf_or_pos :args (@t418)) % 68.34/68.50 (step @p511 :rule reordering :premises (@p510) :args ((or @t367 @t412 @t417 (not @t418)))) % 68.34/68.50 (step @p512 :rule chain_m_resolution :premises (@p511 @p509 @p503 @p429) :args (@t417 @t447 (@list @t366 @t411 @t418))) % 68.34/68.50 (step @p513 :rule eq-symm :args (@t354 tptp.nil)) % 68.34/68.50 (step @p514 :rule refl :args (@t457)) % 68.34/68.50 (step @p515 :rule nary_cong :premises (@p514 @p513) :args (@t458)) % 68.34/68.50 (step @p516 :rule refl :args (@t415)) % 68.34/68.50 (step @p517 :rule cong :premises (@p516 @p515) :args (@t459)) % 68.34/68.50 (step @p518 :rule refl :args (@t454)) % 68.34/68.50 (step @p519 :rule refl :args (@t455)) % 68.34/68.50 (step @p520 :rule nary_cong :premises (@p519 @p518 @p517) :args (@t460)) % 68.34/68.50 (step @p521 :rule cong :premises (@p421 @p520) :args ((=> @t414 @t460))) % 68.34/68.50 (assume-push @p1593 @t414) % 68.34/68.50 (step @p523 :rule instantiate :premises (@p412) :args (@t431)) % 68.34/68.50 (step-pop @p1594 :rule scope :premises (@p523)) % 68.34/68.50 (step @p524 :rule process_scope :premises (@p1594) :args (@t460)) % 68.34/68.50 (step @p526 :rule eq_resolve :premises (@p524 @p521)) % 68.34/68.50 (step @p527 :rule implies_elim :premises (@p526)) % 68.34/68.50 (step @p528 :rule chain_m_resolution :premises (@p527 @p412) :args (@t463 @t390 @t419)) % 68.34/68.50 (step @p529 :rule cnf_or_pos :args (@t463)) % 68.34/68.50 (step @p530 :rule reordering :premises (@p529) :args ((or @t454 @t455 @t462 (not @t463)))) % 68.34/68.50 (step @p531 :rule chain_m_resolution :premises (@p530 @p500 @p490 @p528) :args (@t462 @t447 (@list @t452 @t448 @t463))) % 68.34/68.50 (step @p532 :rule aci_norm :args ((= @t468 (or @t232 @t466 @t465)))) % 68.34/68.50 (step @p533 :rule cong :premises (@p532) :args (@t469)) % 68.34/68.50 (step @p534 :rule quant-merge-prenex :args ((= (forall @t9 @t471) @t469))) % 68.34/68.50 (step @p535 :rule alpha_equiv :args (@t472 (@list @t464) @t245)) % 68.34/68.50 (step @p536 :rule nary_cong :premises (@p131 @p535) :args (@t473)) % 68.34/68.50 (step @p537 :rule quant-miniscope-or :args ((= @t471 @t473))) % 68.34/68.50 (step @p538 :rule trans :premises (@p537 @p536)) % 68.34/68.50 (step @p539 :rule symm :premises (@p538)) % 68.34/68.50 (step @p540 :rule cong :premises (@p539) :args ((forall @t9 (or @t232 @t475)))) % 68.34/68.50 (step @p541 :rule trans :premises (@p540 @p534)) % 68.34/68.50 (step @p542 :rule trans :premises (@p541 @p533)) % 68.34/68.50 (step @p543 :rule bool-impl-elim :args (@t17 @t475)) % 68.34/68.50 (step @p544 :rule cong :premises (@p543) :args ((forall @t9 (=> @t17 @t475)))) % 68.34/68.50 (step @p545 :rule trans :premises (@p544 @p542)) % 68.34/68.50 (step @p546 :rule bool-impl-elim :args (@t6 @t474)) % 68.34/68.50 (step @p547 :rule cong :premises (@p546) :args ((forall @t7 (=> @t6 @t474)))) % 68.34/68.50 (step @p548 :rule eq-symm :args (@t78 @t2)) % 68.34/68.50 (step @p549 :rule cong :premises (@p548) :args (@t84)) % 68.34/68.50 (step @p550 :rule refl :args (@t6)) % 68.34/68.50 (step @p551 :rule cong :premises (@p550 @p549) :args (@t85)) % 68.34/68.50 (step @p552 :rule cong :premises (@p551) :args (@t86)) % 68.34/68.50 (step @p553 :rule trans :premises (@p552 @p547)) % 68.34/68.50 (step @p554 :rule cong :premises (@p326 @p553) :args (@t87)) % 68.34/68.50 (step @p555 :rule cong :premises (@p554) :args (@t88)) % 68.34/68.50 (step @p556 :rule trans :premises (@p555 @p545)) % 68.34/68.50 (step @p557 :rule eq_resolve :premises (@p18 @p556)) % 68.34/68.50 (step @p558 :rule instantiate :premises (@p557) :args (@t451)) % 68.34/68.50 (step @p559 :rule cnf_or_pos :args (@t477)) % 68.34/68.50 (step @p560 :rule reordering :premises (@p559) :args ((or @t445 @t372 @t476 (not @t477)))) % 68.34/68.50 (step @p561 :rule chain_m_resolution :premises (@p560 @p17 @p497 @p558) :args (@t476 @t447 (@list @t83 @t371 @t477))) % 68.34/68.50 (step @p562 :rule cnf_and_pos :args (@t461 0)) % 68.34/68.50 (step @p563 :rule reordering :premises (@p562) :args ((or @t457 @t478))) % 68.34/68.50 (step @p564 :rule chain_m_resolution :premises (@p563 @p561) :args (@t478 @t378 (@list @t457))) % 68.34/68.50 (step @p565 :rule cnf_equiv_pos1 :args (@t462)) % 68.34/68.50 (step @p566 :rule reordering :premises (@p565) :args ((or @t461 @t479 (not @t462)))) % 68.34/68.50 (step @p567 :rule chain_m_resolution :premises (@p566 @p564 @p531) :args (@t479 @t480 (@list @t461 @t462))) % 68.34/68.50 (step @p568 :rule cnf_and_pos :args (@t416 1)) % 68.34/68.50 (step @p569 :rule reordering :premises (@p568) :args ((or @t415 @t481))) % 68.34/68.50 (step @p570 :rule chain_m_resolution :premises (@p569 @p567) :args (@t481 @t378 (@list @t415))) % 68.34/68.50 (step @p571 :rule cnf_equiv_pos1 :args (@t417)) % 68.34/68.50 (step @p572 :rule reordering :premises (@p571) :args ((or @t416 @t482 (not @t417)))) % 68.34/68.50 (step @p573 :rule chain_m_resolution :premises (@p572 @p570 @p512) :args (@t482 @t480 (@list @t416 @t417))) % 68.34/68.50 (step @p574 :rule cnf_equiv_pos2 :args (@t388)) % 68.34/68.50 (step @p575 :rule reordering :premises (@p574) :args ((or @t387 @t483 (not @t388)))) % 68.34/68.50 (step @p576 :rule chain_m_resolution :premises (@p575 @p573 @p377) :args (@t483 @t480 (@list @t387 @t388))) % 68.34/68.50 (step @p577 :rule aci_norm :args ((= @t489 @t487))) % 68.34/68.50 (step @p578 :rule cong :premises (@p577) :args (@t491)) % 68.34/68.50 (step @p579 :rule quant-merge-prenex :args ((= (forall @t9 @t493) @t491))) % 68.34/68.50 (step @p580 :rule alpha_equiv :args (@t494 (@list @t484) @t245)) % 68.34/68.50 (step @p581 :rule nary_cong :premises (@p131 @p580) :args (@t495)) % 68.34/68.50 (step @p582 :rule quant-miniscope-or :args ((= @t493 @t495))) % 68.34/68.50 (step @p583 :rule trans :premises (@p582 @p581)) % 68.34/68.50 (step @p584 :rule symm :premises (@p583)) % 68.34/68.50 (step @p585 :rule cong :premises (@p584) :args ((forall @t9 (or @t232 @t496)))) % 68.34/68.50 (step @p586 :rule trans :premises (@p585 @p579)) % 68.34/68.50 (step @p587 :rule trans :premises (@p586 @p578)) % 68.34/68.50 (step @p588 :rule bool-impl-elim :args (@t17 @t496)) % 68.34/68.50 (step @p589 :rule cong :premises (@p588) :args ((forall @t9 (=> @t17 @t496)))) % 68.34/68.50 (step @p590 :rule trans :premises (@p589 @p587)) % 68.34/68.50 (step @p591 :rule bool-impl-elim :args (@t27 @t5)) % 68.34/68.50 (step @p592 :rule cong :premises (@p591) :args (@t75)) % 68.34/68.50 (step @p593 :rule cong :premises (@p326 @p592) :args (@t76)) % 68.34/68.50 (step @p594 :rule cong :premises (@p593) :args (@t77)) % 68.34/68.50 (step @p595 :rule trans :premises (@p594 @p590)) % 68.34/68.50 (step @p596 :rule eq_resolve :premises (@p15 @p595)) % 68.34/68.50 (step @p597 :rule eq-symm :args (@t357 tptp.nil)) % 68.34/68.50 (step @p598 :rule cong :premises (@p597) :args (@t497)) % 68.34/68.50 (step @p599 :rule refl :args (@t359)) % 68.34/68.50 (step @p600 :rule cong :premises (@p599 @p598) :args (@t498)) % 68.34/68.50 (step @p601 :rule refl :args (@t445)) % 68.34/68.50 (step @p602 :rule refl :args (@t365)) % 68.34/68.50 (step @p603 :rule nary_cong :premises (@p602 @p601 @p600) :args (@t499)) % 68.34/68.50 (step @p604 :rule refl :args (@t500)) % 68.34/68.50 (step @p605 :rule cong :premises (@p604 @p603) :args ((=> @t500 @t499))) % 68.34/68.50 (assume-push @p1595 @t500) % 68.34/68.50 (step @p607 :rule instantiate :premises (@p596) :args ((@list @t357 tptp.nil))) % 68.34/68.50 (step-pop @p1596 :rule scope :premises (@p607)) % 68.34/68.50 (step @p608 :rule process_scope :premises (@p1596) :args (@t499)) % 68.34/68.50 (step @p610 :rule eq_resolve :premises (@p608 @p605)) % 68.34/68.50 (step @p611 :rule implies_elim :premises (@p610)) % 68.34/68.50 (step @p612 :rule chain_m_resolution :premises (@p611 @p596) :args (@t504 @t390 (@list @t500))) % 68.34/68.50 (step @p613 :rule bool-double-not-elim :args (@t364)) % 68.34/68.50 (step @p614 :rule nary_cong :premises (@p334 @p613) :args ((or @t377 (not @t365)))) % 68.34/68.50 (step @p615 :rule cnf_or_neg :args (@t377 6)) % 68.34/68.50 (step @p616 :rule eq_resolve :premises (@p615 @p614)) % 68.34/68.50 (step @p617 :rule reordering :premises (@p616) :args ((or @t364 @t377))) % 68.34/68.50 (step @p618 :rule chain_m_resolution :premises (@p617 @p332) :args (@t364 @t378 @t379)) % 68.34/68.50 (step @p619 :rule cnf_or_pos :args (@t504)) % 68.34/68.50 (step @p620 :rule reordering :premises (@p619) :args ((or @t445 @t365 @t503 (not @t504)))) % 68.34/68.50 (step @p621 :rule chain_m_resolution :premises (@p620 @p17 @p618 @p612) :args (@t503 @t447 (@list @t83 @t364 @t504))) % 68.34/68.50 (step @p622 :rule cnf_or_neg :args (@t377 8)) % 68.34/68.50 (step @p623 :rule chain_m_resolution :premises (@p622 @p332) :args ((not @t362) @t378 @t379)) % 68.34/68.50 (step @p624 :rule bool-impl-elim :args (@t17 @t506)) % 68.34/68.50 (step @p625 :rule cong :premises (@p624) :args ((forall @t9 (=> @t17 @t506)))) % 68.34/68.50 (step @p626 :rule bool-and-de-morgan :args (@t6 @t505 true)) % 68.34/68.50 (step @p627 :rule cong :premises (@p626) :args (@t508)) % 68.34/68.50 (step @p628 :rule cong :premises (@p627) :args (@t509)) % 68.34/68.50 (step @p629 :rule exists-elim :args ((= (exists @t7 @t507) @t509))) % 68.34/68.50 (step @p630 :rule trans :premises (@p629 @p628)) % 68.34/68.50 (step @p631 :rule eq-symm :args (@t18 @t2)) % 68.34/68.50 (step @p632 :rule nary_cong :premises (@p550 @p631) :args (@t19)) % 68.34/68.50 (step @p633 :rule cong :premises (@p632) :args (@t20)) % 68.34/68.50 (step @p634 :rule trans :premises (@p633 @p630)) % 68.34/68.50 (step @p635 :rule refl :args (@t21)) % 68.34/68.50 (step @p636 :rule cong :premises (@p635 @p634) :args (@t22)) % 68.34/68.50 (step @p637 :rule cong :premises (@p326 @p636) :args (@t23)) % 68.34/68.50 (step @p638 :rule cong :premises (@p637) :args (@t24)) % 68.34/68.50 (step @p639 :rule trans :premises (@p638 @p625)) % 68.34/68.50 (step @p640 :rule eq_resolve :premises (@p4 @p639)) % 68.34/68.50 (step @p641 :rule eq-symm :args (@t356 @t18)) % 68.34/68.50 (step @p642 :rule cong :premises (@p641) :args (@t510)) % 68.34/68.50 (step @p643 :rule refl :args (@t442)) % 68.34/68.50 (step @p644 :rule nary_cong :premises (@p643 @p642) :args (@t511)) % 68.34/68.50 (step @p645 :rule cong :premises (@p644) :args (@t512)) % 68.34/68.50 (step @p646 :rule cong :premises (@p645) :args (@t513)) % 68.34/68.50 (step @p647 :rule refl :args (@t360)) % 68.34/68.50 (step @p648 :rule cong :premises (@p647 @p646) :args (@t514)) % 68.34/68.50 (step @p649 :rule nary_cong :premises (@p358 @p648) :args (@t515)) % 68.34/68.50 (step @p650 :rule refl :args (@t516)) % 68.34/68.50 (step @p651 :rule cong :premises (@p650 @p649) :args ((=> @t516 @t515))) % 68.34/68.50 (assume-push @p1597 @t516) % 68.34/68.50 (step @p653 :rule instantiate :premises (@p640) :args (@t386)) % 68.34/68.50 (step-pop @p1598 :rule scope :premises (@p653)) % 68.34/68.50 (step @p654 :rule process_scope :premises (@p1598) :args (@t515)) % 68.34/68.50 (step @p656 :rule eq_resolve :premises (@p654 @p651)) % 68.34/68.50 (step @p657 :rule implies_elim :premises (@p656)) % 68.34/68.50 (step @p658 :rule chain_m_resolution :premises (@p657 @p640) :args (@t520 @t390 (@list @t516))) % 68.34/68.50 (step @p659 :rule cnf_or_pos :args (@t520)) % 68.34/68.50 (step @p660 :rule reordering :premises (@p659) :args ((or @t376 @t519 (not @t520)))) % 68.34/68.50 (step @p661 :rule chain_m_resolution :premises (@p660 @p374 @p658) :args (@t519 @t391 (@list @t375 @t520))) % 68.34/68.50 (step @p662 :rule bool-double-not-elim :args (@t522)) % 68.34/68.50 (step @p663 :rule refl :args (@t527)) % 68.34/68.50 (step @p664 :rule nary_cong :premises (@p663 @p662) :args ((or @t527 (not @t526)))) % 68.34/68.50 (step @p665 :rule cnf_or_neg :args (@t527 0)) % 68.34/68.50 (step @p666 :rule eq_resolve :premises (@p665 @p664)) % 68.34/68.50 (step @p667 :rule reordering :premises (@p666) :args ((or @t522 @t527))) % 68.34/68.50 (step @p668 :rule bool-double-not-elim :args (@t524)) % 68.34/68.50 (step @p669 :rule nary_cong :premises (@p663 @p668) :args ((or @t527 (not @t525)))) % 68.34/68.50 (step @p670 :rule cnf_or_neg :args (@t527 1)) % 68.34/68.50 (step @p671 :rule eq_resolve :premises (@p670 @p669)) % 68.34/68.50 (step @p672 :rule reordering :premises (@p671) :args ((or @t524 @t527))) % 68.34/68.50 (step @p673 :rule aci_norm :args ((= @t532 (or @t232 @t530 @t529)))) % 68.34/68.50 (step @p674 :rule cong :premises (@p673) :args (@t533)) % 68.34/68.50 (step @p675 :rule quant-merge-prenex :args ((= (forall @t9 @t535) @t533))) % 68.34/68.50 (step @p676 :rule alpha_equiv :args (@t536 (@list @t528) @t245)) % 68.34/68.50 (step @p677 :rule nary_cong :premises (@p131 @p676) :args (@t537)) % 68.34/68.50 (step @p678 :rule quant-miniscope-or :args ((= @t535 @t537))) % 68.34/68.50 (step @p679 :rule trans :premises (@p678 @p677)) % 68.34/68.50 (step @p680 :rule symm :premises (@p679)) % 68.34/68.50 (step @p681 :rule cong :premises (@p680) :args ((forall @t9 (or @t232 @t539)))) % 68.34/68.50 (step @p682 :rule trans :premises (@p681 @p675)) % 68.34/68.50 (step @p683 :rule trans :premises (@p682 @p674)) % 68.34/68.50 (step @p684 :rule bool-impl-elim :args (@t17 @t539)) % 68.34/68.50 (step @p685 :rule cong :premises (@p684) :args ((forall @t9 (=> @t17 @t539)))) % 68.34/68.50 (step @p686 :rule trans :premises (@p685 @p683)) % 68.34/68.50 (step @p687 :rule bool-impl-elim :args (@t6 @t538)) % 68.34/68.50 (step @p688 :rule cong :premises (@p687) :args ((forall @t7 (=> @t6 @t538)))) % 68.34/68.50 (step @p689 :rule eq-symm :args (@t105 @t1)) % 68.34/68.50 (step @p690 :rule cong :premises (@p550 @p689) :args (@t106)) % 68.34/68.50 (step @p691 :rule cong :premises (@p690) :args (@t107)) % 68.34/68.50 (step @p692 :rule trans :premises (@p691 @p688)) % 68.34/68.50 (step @p693 :rule cong :premises (@p326 @p692) :args (@t108)) % 68.34/68.50 (step @p694 :rule cong :premises (@p693) :args (@t109)) % 68.34/68.50 (step @p695 :rule trans :premises (@p694 @p686)) % 68.34/68.50 (step @p696 :rule eq_resolve :premises (@p23 @p695)) % 68.34/68.50 (step @p697 :rule instantiate :premises (@p696) :args ((@list tptp.nil @t521))) % 68.34/68.50 (step @p698 :rule cnf_or_pos :args (@t542)) % 68.34/68.50 (step @p699 :rule reordering :premises (@p698) :args ((or @t445 @t526 @t541 (not @t542)))) % 68.34/68.50 (step @p700 :rule bool-impl-elim :args (@t8 @t145)) % 68.34/68.50 (step @p701 :rule cong :premises (@p700) :args (@t146)) % 68.34/68.50 (step @p702 :rule eq_resolve :premises (@p71 @p701)) % 68.34/68.50 (step @p703 :rule instantiate :premises (@p702) :args (@t544)) % 68.34/68.50 (step @p704 :rule aci_norm :args ((= (or @t232 (or @t380 @t100)) @t545))) % 68.34/68.50 (step @p705 :rule refl :args (@t100)) % 68.34/68.50 (step @p706 :rule bool-double-not-elim :args (@t380)) % 68.34/68.50 (step @p707 :rule nary_cong :premises (@p706 @p705) :args ((or (not @t546) @t100))) % 68.34/68.50 (step @p708 :rule bool-impl-elim :args (@t546 @t100)) % 68.34/68.50 (step @p709 :rule trans :premises (@p708 @p707)) % 68.34/68.50 (step @p710 :rule nary_cong :premises (@p131 @p709) :args ((or @t232 @t547))) % 68.34/68.50 (step @p711 :rule trans :premises (@p710 @p704)) % 68.34/68.50 (step @p712 :rule bool-impl-elim :args (@t17 @t547)) % 68.34/68.50 (step @p713 :rule trans :premises (@p712 @p711)) % 68.34/68.50 (step @p714 :rule cong :premises (@p713) :args ((forall @t9 (=> @t17 @t547)))) % 68.34/68.50 (step @p715 :rule refl :args (@t100)) % 68.34/68.50 (step @p716 :rule cong :premises (@p344) :args (@t101)) % 68.34/68.50 (step @p717 :rule cong :premises (@p716 @p715) :args (@t102)) % 68.34/68.50 (step @p718 :rule cong :premises (@p326 @p717) :args (@t103)) % 68.34/68.50 (step @p719 :rule cong :premises (@p718) :args (@t104)) % 68.34/68.50 (step @p720 :rule trans :premises (@p719 @p714)) % 68.34/68.50 (step @p721 :rule eq_resolve :premises (@p22 @p720)) % 68.34/68.50 (step @p722 :rule refl :args (@t548)) % 68.34/68.50 (step @p723 :rule nary_cong :premises (@p358 @p354 @p722) :args (@t549)) % 68.34/68.50 (step @p724 :rule refl :args (@t550)) % 68.34/68.50 (step @p725 :rule cong :premises (@p724 @p723) :args ((=> @t550 @t549))) % 68.34/68.50 (assume-push @p1599 @t550) % 68.34/68.50 (step @p727 :rule instantiate :premises (@p721) :args (@t386)) % 68.34/68.50 (step-pop @p1600 :rule scope :premises (@p727)) % 68.34/68.50 (step @p728 :rule process_scope :premises (@p1600) :args (@t549)) % 68.34/68.50 (step @p730 :rule eq_resolve :premises (@p728 @p725)) % 68.34/68.50 (step @p731 :rule implies_elim :premises (@p730)) % 68.34/68.50 (step @p732 :rule chain_m_resolution :premises (@p731 @p721) :args (@t551 @t390 @t552)) % 68.34/68.50 (step @p733 :rule cnf_or_pos :args (@t551)) % 68.34/68.50 (step @p734 :rule reordering :premises (@p733) :args ((or @t376 @t387 @t548 (not @t551)))) % 68.34/68.50 (step @p735 :rule chain_m_resolution :premises (@p734 @p374 @p573 @p732) :args (@t548 @t553 (@list @t375 @t387 @t551))) % 68.34/68.50 (step @p736 :rule cnf_or_pos :args (@t557)) % 68.34/68.50 (step @p737 :rule reordering :premises (@p736) :args ((or @t556 @t555 (not @t557)))) % 68.34/68.50 (step @p738 :rule chain_m_resolution :premises (@p737 @p735 @p703) :args (@t555 @t391 (@list @t548 @t557))) % 68.34/68.50 (assume-push @p1601 @t524) % 68.34/68.50 (assume-push @p1602 @t541) % 68.34/68.50 (assume-push @p1603 @t555) % 68.34/68.50 (assume-push @p1604 @t555) % 68.34/68.50 (assume-push @p1605 @t524) % 68.34/68.50 (assume-push @p1606 @t541) % 68.34/68.50 (step @p745 :rule true_intro :premises (@p738)) % 68.34/68.50 (step @p746 :rule refl :args (tptp.nil)) % 68.34/68.50 (step @p747 :rule symm :premises (@p1601)) % 68.34/68.50 (step @p748 :rule cong :premises (@p747) :args (@t540)) % 68.34/68.50 (step @p749 :rule trans :premises (@p1602 @p748)) % 68.34/68.50 (step @p750 :rule cong :premises (@p749 @p746) :args (@t523)) % 68.34/68.50 (step @p751 :rule trans :premises (@p1601 @p750)) % 68.34/68.50 (step @p752 :rule cong :premises (@p751) :args (@t558)) % 68.34/68.50 (step @p753 :rule trans :premises (@p752 @p745)) % 68.34/68.50 (step @p754 :rule true_elim :premises (@p753)) % 68.34/68.50 (step-pop @p1607 :rule scope :premises (@p754)) % 68.34/68.50 (step-pop @p1608 :rule scope :premises (@p1607)) % 68.34/68.50 (step-pop @p1609 :rule scope :premises (@p1608)) % 68.34/68.50 (step @p755 :rule process_scope :premises (@p1609) :args (@t558)) % 68.34/68.50 (step @p759 :rule and_intro :premises (@p738 @p1601 @p1602)) % 68.34/68.50 (step @p760 :rule modus_ponens :premises (@p759 @p755)) % 68.34/68.50 (step-pop @p1610 :rule scope :premises (@p760)) % 68.34/68.50 (step-pop @p1611 :rule scope :premises (@p1610)) % 68.34/68.50 (step-pop @p1612 :rule scope :premises (@p1611)) % 68.34/68.50 (step @p761 :rule process_scope :premises (@p1612) :args (@t558)) % 68.34/68.50 (step @p765 :rule implies_elim :premises (@p761)) % 68.34/68.50 (step @p766 :rule cnf_and_neg :args (@t559)) % 68.34/68.50 (step @p767 :rule resolution :premises (@p766 @p765) :args (true @t559)) % 68.34/68.50 (step @p768 :rule reordering :premises (@p767) :args ((or @t558 @t525 @t560 (not @t555)))) % 68.34/68.50 (step @p769 :rule bool-impl-elim :args (@t17 @t571)) % 68.34/68.50 (step @p770 :rule cong :premises (@p769) :args ((forall @t9 (=> @t17 @t571)))) % 68.34/68.50 (step @p771 :rule aci_norm :args ((= @t573 @t569))) % 68.34/68.50 (step @p772 :rule cong :premises (@p771) :args (@t574)) % 68.34/68.50 (step @p773 :rule quant-merge-prenex :args ((= (forall @t7 @t576) @t574))) % 68.34/68.50 (step @p774 :rule alpha_equiv :args (@t577 (@list @t563 @t562 @t561) @t581)) % 68.34/68.50 (step @p775 :rule refl :args (@t442)) % 68.34/68.50 (step @p776 :rule nary_cong :premises (@p775 @p774) :args (@t582)) % 68.34/68.50 (step @p777 :rule quant-miniscope-or :args ((= @t576 @t582))) % 68.34/68.50 (step @p778 :rule trans :premises (@p777 @p776)) % 68.34/68.50 (step @p779 :rule symm :premises (@p778)) % 68.34/68.50 (step @p780 :rule cong :premises (@p779) :args ((forall @t7 @t590))) % 68.34/68.50 (step @p781 :rule trans :premises (@p780 @p773)) % 68.34/68.50 (step @p782 :rule trans :premises (@p781 @p772)) % 68.34/68.50 (step @p783 :rule aci_norm :args ((= (or @t442 @t590) @t590))) % 68.34/68.50 (step @p784 :rule bool-impl-elim :args (@t6 @t590)) % 68.34/68.50 (step @p785 :rule trans :premises (@p784 @p783)) % 68.34/68.50 (step @p786 :rule cong :premises (@p785) :args ((forall @t7 (=> @t6 @t590)))) % 68.34/68.50 (step @p787 :rule trans :premises (@p786 @p782)) % 68.34/68.50 (step @p788 :rule quant-miniscope-or :args ((= (forall @t589 @t591) @t590))) % 68.34/68.50 (step @p789 :rule aci_norm :args ((= @t592 @t591))) % 68.34/68.50 (step @p790 :rule cong :premises (@p789) :args ((forall @t589 @t592))) % 68.34/68.50 (step @p791 :rule trans :premises (@p790 @p788)) % 68.34/68.50 (step @p792 :rule aci_norm :args ((= (or @t442 false @t587 @t586 @t585 @t584) @t592))) % 68.34/68.50 (step @p793 :rule refl :args (@t584)) % 68.34/68.50 (step @p794 :rule refl :args (@t585)) % 68.34/68.50 (step @p795 :rule refl :args (@t586)) % 68.34/68.50 (step @p796 :rule refl :args (@t587)) % 68.34/68.50 (step @p797 :rule nary_cong :premises (@p643 @p196 @p796 @p795 @p794 @p793) :args (@t593)) % 68.34/68.50 (step @p798 :rule trans :premises (@p797 @p792)) % 68.34/68.50 (step @p799 :rule cong :premises (@p798) :args ((forall @t589 @t593))) % 68.34/68.50 (step @p800 :rule trans :premises (@p799 @p791)) % 68.34/68.50 (step @p801 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not (= @t12 @t1)) @t595 @t45 @t587 @t586 @t585 @t594)) @t593))) % 68.34/68.50 (step @p802 :rule refl :args (@t594)) % 68.34/68.50 (step @p803 :rule refl :args (@t585)) % 68.34/68.50 (step @p804 :rule refl :args (@t586)) % 68.34/68.50 (step @p805 :rule refl :args (@t587)) % 68.34/68.50 (step @p806 :rule refl :args (@t45)) % 68.34/68.50 (step @p807 :rule refl :args (@t595)) % 68.34/68.50 (step @p808 :rule eq-symm :args (@t1 @t12)) % 68.34/68.50 (step @p809 :rule cong :premises (@p808) :args (@t45)) % 68.34/68.50 (step @p810 :rule nary_cong :premises (@p809 @p807 @p806 @p805 @p804 @p803 @p802) :args (@t596)) % 68.34/68.50 (step @p811 :rule aci_norm :args ((= @t597 @t596))) % 68.34/68.50 (step @p812 :rule trans :premises (@p811 @p810)) % 68.34/68.50 (step @p813 :rule cong :premises (@p812) :args (@t598)) % 68.34/68.50 (step @p814 :rule trans :premises (@p813 @p801)) % 68.34/68.50 (step @p815 :rule cong :premises (@p814) :args (@t599)) % 68.34/68.50 (step @p816 :rule quant-merge-prenex :args ((= @t599 @t600))) % 68.34/68.50 (step @p817 :rule symm :premises (@p816)) % 68.34/68.50 (step @p818 :rule quant_var_reordering :args ((= (forall @t601 @t597) @t600))) % 68.34/68.50 (step @p819 :rule trans :premises (@p818 @p817 @p815)) % 68.34/68.50 (step @p820 :rule trans :premises (@p819 @p800)) % 68.34/68.50 (step @p821 :rule aci_norm :args ((= @t603 @t597))) % 68.34/68.50 (step @p822 :rule cong :premises (@p821) :args (@t604)) % 68.34/68.50 (step @p823 :rule trans :premises (@p822 @p820)) % 68.34/68.50 (step @p824 :rule quant-merge-prenex :args ((= (forall @t16 @t605) @t604))) % 68.34/68.50 (step @p825 :rule alpha_equiv :args (@t606 @t581 (@list @t10 @t608 @t607))) % 68.34/68.50 (step @p826 :rule nary_cong :premises (@p807 @p806 @p825) :args (@t609)) % 68.34/68.50 (step @p827 :rule quant-miniscope-or :args ((= @t605 @t609))) % 68.34/68.50 (step @p828 :rule trans :premises (@p827 @p826)) % 68.34/68.50 (step @p829 :rule symm :premises (@p828)) % 68.34/68.50 (step @p830 :rule cong :premises (@p829) :args ((forall @t16 @t616))) % 68.34/68.50 (step @p831 :rule trans :premises (@p830 @p824)) % 68.34/68.50 (step @p832 :rule trans :premises (@p831 @p823)) % 68.34/68.50 (step @p833 :rule aci_norm :args ((= (or @t595 @t617) @t616))) % 68.34/68.50 (step @p834 :rule bool-impl-elim :args (@t42 @t617)) % 68.34/68.50 (step @p835 :rule trans :premises (@p834 @p833)) % 68.34/68.50 (step @p836 :rule cong :premises (@p835) :args ((forall @t16 (=> @t42 @t617)))) % 68.34/68.50 (step @p837 :rule trans :premises (@p836 @p832)) % 68.34/68.50 (step @p838 :rule aci_norm :args ((= @t619 @t613))) % 68.34/68.50 (step @p839 :rule cong :premises (@p838) :args (@t620)) % 68.34/68.50 (step @p840 :rule quant-merge-prenex :args ((= (forall @t14 @t622) @t620))) % 68.34/68.50 (step @p841 :rule alpha_equiv :args (@t623 (@list @t608 @t607) (@list @t34 @t624))) % 68.34/68.50 (step @p842 :rule nary_cong :premises (@p203 @p841) :args (@t625)) % 68.34/68.50 (step @p843 :rule quant-miniscope-or :args ((= @t622 @t625))) % 68.34/68.50 (step @p844 :rule trans :premises (@p843 @p842)) % 68.34/68.50 (step @p845 :rule symm :premises (@p844)) % 68.34/68.50 (step @p846 :rule cong :premises (@p845) :args (@t633)) % 68.34/68.50 (step @p847 :rule trans :premises (@p846 @p840)) % 68.34/68.50 (step @p848 :rule trans :premises (@p847 @p839)) % 68.34/68.50 (step @p849 :rule refl :args (@t45)) % 68.34/68.50 (step @p850 :rule nary_cong :premises (@p849 @p848) :args (@t634)) % 68.34/68.50 (step @p851 :rule quant-miniscope-or :args ((= (forall @t14 @t635) @t634))) % 68.34/68.50 (step @p852 :rule aci_norm :args ((= @t636 @t635))) % 68.34/68.50 (step @p853 :rule cong :premises (@p852) :args ((forall @t14 @t636))) % 68.34/68.50 (step @p854 :rule trans :premises (@p853 @p851)) % 68.34/68.50 (step @p855 :rule trans :premises (@p854 @p850)) % 68.34/68.50 (step @p856 :rule aci_norm :args ((= (or @t287 @t637) @t636))) % 68.34/68.50 (step @p857 :rule bool-impl-elim :args (@t13 @t637)) % 68.34/68.50 (step @p858 :rule trans :premises (@p857 @p856)) % 68.34/68.50 (step @p859 :rule cong :premises (@p858) :args ((forall @t14 (=> @t13 @t637)))) % 68.34/68.50 (step @p860 :rule trans :premises (@p859 @p855)) % 68.34/68.50 (step @p861 :rule aci_norm :args ((= @t639 @t629))) % 68.34/68.50 (step @p862 :rule cong :premises (@p861) :args (@t640)) % 68.34/68.50 (step @p863 :rule quant-merge-prenex :args ((= (forall @t41 @t642) @t640))) % 68.34/68.50 (step @p864 :rule alpha_equiv :args (@t643 (@list @t624) (@list @t33))) % 68.34/68.50 (step @p865 :rule refl :args (@t628)) % 68.34/68.50 (step @p866 :rule nary_cong :premises (@p865 @p864) :args (@t644)) % 68.34/68.50 (step @p867 :rule quant-miniscope-or :args ((= @t642 @t644))) % 68.34/68.50 (step @p868 :rule trans :premises (@p867 @p866)) % 68.34/68.50 (step @p869 :rule symm :premises (@p868)) % 68.34/68.50 (step @p870 :rule cong :premises (@p869) :args (@t651)) % 68.34/68.50 (step @p871 :rule trans :premises (@p870 @p863)) % 68.34/68.50 (step @p872 :rule trans :premises (@p871 @p862)) % 68.34/68.50 (step @p873 :rule nary_cong :premises (@p849 @p872) :args (@t652)) % 68.34/68.50 (step @p874 :rule quant-miniscope-or :args ((= (forall @t41 @t653) @t652))) % 68.34/68.50 (step @p875 :rule aci_norm :args ((= @t654 @t653))) % 68.34/68.50 (step @p876 :rule cong :premises (@p875) :args ((forall @t41 @t654))) % 68.34/68.50 (step @p877 :rule trans :premises (@p876 @p874)) % 68.34/68.50 (step @p878 :rule trans :premises (@p877 @p873)) % 68.34/68.50 (step @p879 :rule aci_norm :args ((= (or @t628 @t655) @t654))) % 68.34/68.50 (step @p880 :rule bool-impl-elim :args (@t40 @t655)) % 68.34/68.50 (step @p881 :rule trans :premises (@p880 @p879)) % 68.34/68.50 (step @p882 :rule cong :premises (@p881) :args ((forall @t41 (=> @t40 @t655)))) % 68.34/68.50 (step @p883 :rule trans :premises (@p882 @p878)) % 68.34/68.50 (step @p884 :rule quant-miniscope-or :args ((= (forall @t39 @t656) @t655))) % 68.34/68.50 (step @p885 :rule aci_norm :args ((= @t657 @t656))) % 68.34/68.50 (step @p886 :rule cong :premises (@p885) :args ((forall @t39 @t657))) % 68.34/68.50 (step @p887 :rule trans :premises (@p886 @p884)) % 68.34/68.50 (step @p888 :rule aci_norm :args ((= (or @t647 (or @t646 @t45)) @t657))) % 68.34/68.50 (step @p889 :rule bool-impl-elim :args (@t645 @t45)) % 68.34/68.50 (step @p890 :rule refl :args (@t647)) % 68.34/68.50 (step @p891 :rule nary_cong :premises (@p890 @p889) :args ((or @t647 @t658))) % 68.34/68.50 (step @p892 :rule trans :premises (@p891 @p888)) % 68.34/68.50 (step @p893 :rule bool-impl-elim :args (@t38 @t658)) % 68.34/68.50 (step @p894 :rule trans :premises (@p893 @p892)) % 68.34/68.50 (step @p895 :rule cong :premises (@p894) :args ((forall @t39 (=> @t38 @t658)))) % 68.34/68.50 (step @p896 :rule trans :premises (@p895 @p887)) % 68.34/68.50 (step @p897 :rule eq-symm :args (@t36 @t2)) % 68.34/68.50 (step @p898 :rule cong :premises (@p897 @p849) :args (@t46)) % 68.34/68.50 (step @p899 :rule refl :args (@t38)) % 68.34/68.50 (step @p900 :rule cong :premises (@p899 @p898) :args (@t47)) % 68.34/68.50 (step @p901 :rule cong :premises (@p900) :args (@t48)) % 68.34/68.50 (step @p902 :rule trans :premises (@p901 @p896)) % 68.34/68.50 (step @p903 :rule refl :args (@t40)) % 68.34/68.50 (step @p904 :rule cong :premises (@p903 @p902) :args (@t49)) % 68.34/68.50 (step @p905 :rule cong :premises (@p904) :args (@t50)) % 68.34/68.50 (step @p906 :rule trans :premises (@p905 @p883)) % 68.34/68.50 (step @p907 :rule cong :premises (@p314 @p906) :args (@t51)) % 68.34/68.50 (step @p908 :rule cong :premises (@p907) :args (@t52)) % 68.34/68.50 (step @p909 :rule trans :premises (@p908 @p860)) % 68.34/68.50 (step @p910 :rule refl :args (@t42)) % 68.34/68.50 (step @p911 :rule cong :premises (@p910 @p909) :args (@t53)) % 68.34/68.50 (step @p912 :rule cong :premises (@p911) :args (@t54)) % 68.34/68.50 (step @p913 :rule trans :premises (@p912 @p837)) % 68.34/68.50 (step @p914 :rule cong :premises (@p550 @p913) :args (@t55)) % 68.34/68.50 (step @p915 :rule cong :premises (@p914) :args (@t56)) % 68.34/68.50 (step @p916 :rule trans :premises (@p915 @p787)) % 68.34/68.50 (step @p917 :rule refl :args (@t57)) % 68.34/68.50 (step @p918 :rule cong :premises (@p917 @p916) :args (@t58)) % 68.34/68.50 (step @p919 :rule cong :premises (@p326 @p918) :args (@t59)) % 68.34/68.50 (step @p920 :rule cong :premises (@p919) :args (@t60)) % 68.34/68.50 (step @p921 :rule trans :premises (@p920 @p770)) % 68.34/68.50 (step @p922 :rule eq_resolve :premises (@p13 @p921)) % 68.34/68.50 (step @p923 :rule eq-symm :args (@t356 @t564)) % 68.34/68.50 (step @p924 :rule cong :premises (@p923) :args (@t659)) % 68.34/68.50 (step @p925 :rule refl :args (@t566)) % 68.34/68.50 (step @p926 :rule refl :args (@t567)) % 68.34/68.50 (step @p927 :rule refl :args (@t568)) % 68.34/68.50 (step @p928 :rule nary_cong :premises (@p643 @p927 @p926 @p925 @p924) :args (@t660)) % 68.34/68.50 (step @p929 :rule cong :premises (@p928) :args (@t661)) % 68.34/68.50 (step @p930 :rule refl :args (@t558)) % 68.34/68.50 (step @p931 :rule cong :premises (@p930 @p929) :args (@t662)) % 68.34/68.50 (step @p932 :rule nary_cong :premises (@p358 @p931) :args (@t663)) % 68.34/68.50 (step @p933 :rule refl :args (@t664)) % 68.34/68.50 (step @p934 :rule cong :premises (@p933 @p932) :args ((=> @t664 @t663))) % 68.34/68.50 (assume-push @p1613 @t664) % 68.34/68.50 (step @p936 :rule instantiate :premises (@p922) :args (@t386)) % 68.34/68.50 (step-pop @p1614 :rule scope :premises (@p936)) % 68.34/68.50 (step @p937 :rule process_scope :premises (@p1614) :args (@t663)) % 68.34/68.50 (step @p939 :rule eq_resolve :premises (@p937 @p934)) % 68.34/68.50 (step @p940 :rule implies_elim :premises (@p939)) % 68.34/68.50 (step @p941 :rule chain_m_resolution :premises (@p940 @p922) :args (@t667 @t390 (@list @t664))) % 68.34/68.50 (step @p942 :rule cnf_or_pos :args (@t667)) % 68.34/68.50 (step @p943 :rule reordering :premises (@p942) :args ((or @t376 @t666 (not @t667)))) % 68.34/68.50 (step @p944 :rule chain_m_resolution :premises (@p943 @p374 @p941) :args (@t666 @t391 (@list @t375 @t667))) % 68.34/68.50 (step @p945 :rule cnf_equiv_pos1 :args (@t666)) % 68.34/68.50 (step @p946 :rule reordering :premises (@p945) :args ((or @t665 (not @t558) (not @t666)))) % 68.34/68.50 (step @p947 :rule eq-symm :args (@t674 @t356)) % 68.34/68.50 (step @p948 :rule cong :premises (@p947) :args (@t675)) % 68.34/68.50 (step @p949 :rule refl :args (@t677)) % 68.34/68.50 (step @p950 :rule refl :args (@t372)) % 68.34/68.50 (step @p951 :rule nary_cong :premises (@p950 @p519 @p601 @p949 @p948) :args (@t678)) % 68.34/68.50 (step @p952 :rule refl :args (@t665)) % 68.34/68.50 (step @p953 :rule cong :premises (@p952 @p951) :args ((=> @t665 @t678))) % 68.34/68.50 (assume-push @p1615 @t665) % 68.34/68.50 (step @p955 :rule instantiate :premises (@p1615) :args ((@list @t349 @t354 tptp.nil @t673))) % 68.34/68.50 (step-pop @p1616 :rule scope :premises (@p955)) % 68.34/68.50 (step @p956 :rule process_scope :premises (@p1616) :args (@t678)) % 68.34/68.50 (step @p958 :rule eq_resolve :premises (@p956 @p953)) % 68.34/68.50 (step @p959 :rule implies_elim :premises (@p958)) % 68.34/68.50 (step @p960 :rule eq-symm :args (@t680 @t356)) % 68.34/68.50 (step @p961 :rule cong :premises (@p960) :args (@t681)) % 68.34/68.50 (step @p962 :rule refl :args (@t369)) % 68.34/68.50 (step @p963 :rule refl :args (@t370)) % 68.34/68.50 (step @p964 :rule refl :args (@t374)) % 68.34/68.50 (step @p965 :rule nary_cong :premises (@p964 @p950 @p963 @p962 @p601 @p961) :args (@t682)) % 68.34/68.50 (step @p966 :rule refl :args (@t692)) % 68.34/68.50 (step @p967 :rule cong :premises (@p966 @p965) :args ((=> @t692 @t682))) % 68.34/68.50 (assume-push @p1617 @t692) % 68.34/68.50 (step @p969 :rule instantiate :premises (@p1617) :args ((@list @t351 @t349 @t353 tptp.nil))) % 68.34/68.50 (step-pop @p1618 :rule scope :premises (@p969)) % 68.34/68.50 (step @p970 :rule process_scope :premises (@p1618) :args (@t682)) % 68.34/68.50 (step @p972 :rule eq_resolve :premises (@p970 @p967)) % 68.34/68.50 (step @p973 :rule implies_elim :premises (@p972)) % 68.34/68.50 (step @p974 :rule eq-symm :args (@t694 @t356)) % 68.34/68.50 (step @p975 :rule cong :premises (@p974) :args (@t695)) % 68.34/68.50 (step @p976 :rule refl :args (@t696)) % 68.34/68.50 (step @p977 :rule refl :args (@t698)) % 68.34/68.50 (step @p978 :rule nary_cong :premises (@p950 @p977 @p976 @p519 @p949 @p975) :args (@t699)) % 68.34/68.50 (step @p979 :rule cong :premises (@p966 @p978) :args ((=> @t692 @t699))) % 68.34/68.50 (assume-push @p1619 @t692) % 68.34/68.50 (step @p981 :rule instantiate :premises (@p1619) :args ((@list @t349 @t693 @t354 @t673))) % 68.34/68.50 (step-pop @p1620 :rule scope :premises (@p981)) % 68.34/68.50 (step @p982 :rule process_scope :premises (@p1620) :args (@t699)) % 68.34/68.50 (step @p984 :rule eq_resolve :premises (@p982 @p979)) % 68.34/68.50 (step @p985 :rule implies_elim :premises (@p984)) % 68.34/68.50 (step @p986 :rule cnf_or_neg :args (@t377 3)) % 68.34/68.50 (step @p987 :rule chain_m_resolution :premises (@p986 @p332) :args ((not @t370) @t378 @t379)) % 68.34/68.50 (step @p988 :rule cnf_or_pos :args (@t702)) % 68.34/68.50 (step @p989 :rule reordering :premises (@p988) :args ((or @t445 @t374 @t372 @t370 @t369 @t701 (not @t702)))) % 68.34/68.50 (step @p990 :rule bool-impl-elim :args (@t17 @t703)) % 68.34/68.50 (step @p991 :rule cong :premises (@p990) :args ((forall @t9 (=> @t17 @t703)))) % 68.34/68.50 (step @p992 :rule eq-symm :args (@t123 @t2)) % 68.34/68.50 (step @p993 :rule cong :premises (@p326 @p992) :args (@t124)) % 68.34/68.50 (step @p994 :rule cong :premises (@p993) :args (@t125)) % 68.34/68.50 (step @p995 :rule trans :premises (@p994 @p991)) % 68.34/68.50 (step @p996 :rule eq_resolve :premises (@p28 @p995)) % 68.34/68.50 (step @p997 :rule instantiate :premises (@p996) :args (@t704)) % 68.34/68.50 (step @p998 :rule cnf_or_pos :args (@t707)) % 68.34/68.50 (step @p999 :rule reordering :premises (@p998) :args ((or @t367 @t706 (not @t707)))) % 68.34/68.50 (step @p1000 :rule chain_m_resolution :premises (@p999 @p509 @p997) :args (@t706 @t391 (@list @t366 @t707))) % 68.34/68.50 (step @p1001 :rule bool-impl-elim :args (@t17 @t708)) % 68.34/68.50 (step @p1002 :rule cong :premises (@p1001) :args ((forall @t9 (=> @t17 @t708)))) % 68.34/68.50 (step @p1003 :rule eq-symm :args (@t167 @t2)) % 68.34/68.50 (step @p1004 :rule cong :premises (@p326 @p1003) :args (@t168)) % 68.34/68.50 (step @p1005 :rule cong :premises (@p1004) :args (@t169)) % 68.34/68.50 (step @p1006 :rule trans :premises (@p1005 @p1002)) % 68.34/68.50 (step @p1007 :rule eq_resolve :premises (@p84 @p1006)) % 68.34/68.50 (step @p1008 :rule instantiate :premises (@p1007) :args ((@list @t353))) % 68.34/68.50 (step @p1009 :rule cnf_or_pos :args (@t711)) % 68.34/68.50 (step @p1010 :rule reordering :premises (@p1009) :args ((or @t369 @t710 (not @t711)))) % 68.34/68.50 (step @p1011 :rule chain_m_resolution :premises (@p1010 @p487 @p1008) :args (@t710 @t391 (@list @t368 @t711))) % 68.34/68.50 (step @p1012 :rule aci_norm :args ((= @t718 (or @t232 @t716 @t715 @t714)))) % 68.34/68.50 (step @p1013 :rule cong :premises (@p1012) :args (@t719)) % 68.34/68.50 (step @p1014 :rule quant-merge-prenex :args ((= (forall @t9 @t721) @t719))) % 68.34/68.50 (step @p1015 :rule alpha_equiv :args (@t722 (@list @t713 @t712) (@list @t1 @t723))) % 68.34/68.50 (step @p1016 :rule nary_cong :premises (@p131 @p1015) :args (@t724)) % 68.34/68.50 (step @p1017 :rule quant-miniscope-or :args ((= @t721 @t724))) % 68.34/68.50 (step @p1018 :rule trans :premises (@p1017 @p1016)) % 68.34/68.50 (step @p1019 :rule symm :premises (@p1018)) % 68.34/68.50 (step @p1020 :rule cong :premises (@p1019) :args ((forall @t9 (or @t232 @t729)))) % 68.34/68.50 (step @p1021 :rule trans :premises (@p1020 @p1014)) % 68.34/68.50 (step @p1022 :rule trans :premises (@p1021 @p1013)) % 68.34/68.50 (step @p1023 :rule bool-impl-elim :args (@t17 @t729)) % 68.34/68.50 (step @p1024 :rule cong :premises (@p1023) :args ((forall @t9 (=> @t17 @t729)))) % 68.34/68.50 (step @p1025 :rule trans :premises (@p1024 @p1022)) % 68.34/68.50 (step @p1026 :rule aci_norm :args ((= @t731 @t727))) % 68.34/68.50 (step @p1027 :rule cong :premises (@p1026) :args (@t732)) % 68.34/68.50 (step @p1028 :rule quant-merge-prenex :args ((= (forall @t7 @t734) @t732))) % 68.34/68.50 (step @p1029 :rule alpha_equiv :args (@t735 (@list @t723) @t736)) % 68.34/68.50 (step @p1030 :rule refl :args (@t254)) % 68.34/68.50 (step @p1031 :rule nary_cong :premises (@p1030 @p1029) :args (@t737)) % 68.34/68.50 (step @p1032 :rule quant-miniscope-or :args ((= @t734 @t737))) % 68.34/68.50 (step @p1033 :rule trans :premises (@p1032 @p1031)) % 68.34/68.50 (step @p1034 :rule symm :premises (@p1033)) % 68.34/68.50 (step @p1035 :rule cong :premises (@p1034) :args ((forall @t7 (or @t254 @t738)))) % 68.34/68.50 (step @p1036 :rule trans :premises (@p1035 @p1028)) % 68.34/68.50 (step @p1037 :rule trans :premises (@p1036 @p1027)) % 68.34/68.50 (step @p1038 :rule bool-impl-elim :args (@t27 @t738)) % 68.34/68.50 (step @p1039 :rule cong :premises (@p1038) :args ((forall @t7 (=> @t27 @t738)))) % 68.34/68.50 (step @p1040 :rule trans :premises (@p1039 @p1037)) % 68.34/68.50 (step @p1041 :rule bool-impl-elim :args (@t15 @t154)) % 68.34/68.50 (step @p1042 :rule cong :premises (@p1041) :args (@t155)) % 68.34/68.50 (step @p1043 :rule cong :premises (@p322 @p1042) :args (@t156)) % 68.34/68.50 (step @p1044 :rule cong :premises (@p1043) :args (@t157)) % 68.34/68.50 (step @p1045 :rule trans :premises (@p1044 @p1040)) % 68.34/68.50 (step @p1046 :rule cong :premises (@p326 @p1045) :args (@t158)) % 68.34/68.50 (step @p1047 :rule cong :premises (@p1046) :args (@t159)) % 68.34/68.50 (step @p1048 :rule trans :premises (@p1047 @p1025)) % 68.34/68.50 (step @p1049 :rule eq_resolve :premises (@p82 @p1048)) % 68.34/68.50 (step @p1050 :rule instantiate :premises (@p1049) :args ((@list @t353 @t352 @t350))) % 68.34/68.50 (step @p1051 :rule cnf_or_pos :args (@t742)) % 68.34/68.50 (step @p1052 :rule reordering :premises (@p1051) :args ((or @t369 @t449 @t454 @t741 (not @t742)))) % 68.34/68.50 (step @p1053 :rule chain_m_resolution :premises (@p1052 @p487 @p481 @p500 @p1050) :args (@t741 @t743 (@list @t368 @t444 @t452 @t742))) % 68.34/68.50 (step @p1054 :rule instantiate :premises (@p1049) :args ((@list @t354 @t350 @t348))) % 68.34/68.50 (step @p1055 :rule cnf_or_pos :args (@t747)) % 68.34/68.50 (step @p1056 :rule reordering :premises (@p1055) :args ((or @t367 @t454 @t455 @t746 (not @t747)))) % 68.34/68.50 (step @p1057 :rule chain_m_resolution :premises (@p1056 @p509 @p500 @p490 @p1054) :args (@t746 @t743 (@list @t366 @t452 @t448 @t747))) % 68.34/68.50 (step @p1058 :rule aci_norm :args ((= @t755 @t753))) % 68.34/68.50 (step @p1059 :rule cong :premises (@p1058) :args (@t757)) % 68.34/68.50 (step @p1060 :rule quant-merge-prenex :args ((= (forall @t9 @t759) @t757))) % 68.34/68.50 (step @p1061 :rule alpha_equiv :args (@t760 (@list @t748 @t749) (@list @t1 @t761))) % 68.34/68.50 (step @p1062 :rule nary_cong :premises (@p131 @p1061) :args (@t762)) % 68.34/68.50 (step @p1063 :rule quant-miniscope-or :args ((= @t759 @t762))) % 68.34/68.50 (step @p1064 :rule trans :premises (@p1063 @p1062)) % 68.34/68.50 (step @p1065 :rule symm :premises (@p1064)) % 68.34/68.50 (step @p1066 :rule cong :premises (@p1065) :args ((forall @t9 (or @t232 @t767)))) % 68.34/68.50 (step @p1067 :rule trans :premises (@p1066 @p1060)) % 68.34/68.50 (step @p1068 :rule trans :premises (@p1067 @p1059)) % 68.34/68.50 (step @p1069 :rule bool-impl-elim :args (@t17 @t767)) % 68.34/68.50 (step @p1070 :rule cong :premises (@p1069) :args ((forall @t9 (=> @t17 @t767)))) % 68.34/68.50 (step @p1071 :rule trans :premises (@p1070 @p1068)) % 68.34/68.50 (step @p1072 :rule aci_norm :args ((= @t769 @t765))) % 68.34/68.50 (step @p1073 :rule cong :premises (@p1072) :args (@t770)) % 68.34/68.50 (step @p1074 :rule quant-merge-prenex :args ((= (forall @t7 @t772) @t770))) % 68.34/68.50 (step @p1075 :rule alpha_equiv :args (@t773 (@list @t761) @t736)) % 68.34/68.50 (step @p1076 :rule nary_cong :premises (@p1030 @p1075) :args (@t774)) % 68.34/68.50 (step @p1077 :rule quant-miniscope-or :args ((= @t772 @t774))) % 68.34/68.50 (step @p1078 :rule trans :premises (@p1077 @p1076)) % 68.34/68.50 (step @p1079 :rule symm :premises (@p1078)) % 68.34/68.50 (step @p1080 :rule cong :premises (@p1079) :args ((forall @t7 (or @t254 @t775)))) % 68.34/68.50 (step @p1081 :rule trans :premises (@p1080 @p1074)) % 68.34/68.50 (step @p1082 :rule trans :premises (@p1081 @p1073)) % 68.34/68.50 (step @p1083 :rule bool-impl-elim :args (@t27 @t775)) % 68.34/68.50 (step @p1084 :rule cong :premises (@p1083) :args ((forall @t7 (=> @t27 @t775)))) % 68.34/68.50 (step @p1085 :rule trans :premises (@p1084 @p1082)) % 68.34/68.50 (step @p1086 :rule bool-impl-elim :args (@t42 @t117)) % 68.34/68.50 (step @p1087 :rule cong :premises (@p1086) :args (@t118)) % 68.34/68.50 (step @p1088 :rule cong :premises (@p322 @p1087) :args (@t119)) % 68.34/68.50 (step @p1089 :rule cong :premises (@p1088) :args (@t120)) % 68.34/68.50 (step @p1090 :rule trans :premises (@p1089 @p1085)) % 68.34/68.50 (step @p1091 :rule cong :premises (@p326 @p1090) :args (@t121)) % 68.34/68.50 (step @p1092 :rule cong :premises (@p1091) :args (@t122)) % 68.34/68.50 (step @p1093 :rule trans :premises (@p1092 @p1071)) % 68.34/68.50 (step @p1094 :rule eq_resolve :premises (@p27 @p1093)) % 68.34/68.50 (step @p1095 :rule eq-symm :args (@t776 @t744)) % 68.34/68.50 (step @p1096 :rule nary_cong :premises (@p418 @p601 @p950 @p1095) :args (@t777)) % 68.34/68.50 (step @p1097 :rule refl :args (@t778)) % 68.34/68.50 (step @p1098 :rule cong :premises (@p1097 @p1096) :args ((=> @t778 @t777))) % 68.34/68.50 (assume-push @p1621 @t778) % 68.34/68.50 (step @p1100 :rule instantiate :premises (@p1094) :args ((@list @t348 tptp.nil @t349))) % 68.34/68.50 (step-pop @p1622 :rule scope :premises (@p1100)) % 68.34/68.50 (step @p1101 :rule process_scope :premises (@p1622) :args (@t777)) % 68.34/68.50 (step @p1103 :rule eq_resolve :premises (@p1101 @p1098)) % 68.34/68.50 (step @p1104 :rule implies_elim :premises (@p1103)) % 68.34/68.50 (step @p1105 :rule chain_m_resolution :premises (@p1104 @p1094) :args (@t780 @t390 (@list @t778))) % 68.34/68.50 (step @p1106 :rule cnf_or_pos :args (@t780)) % 68.34/68.50 (step @p1107 :rule reordering :premises (@p1106) :args ((or @t445 @t372 @t367 @t779 (not @t780)))) % 68.34/68.50 (step @p1108 :rule chain_m_resolution :premises (@p1107 @p17 @p497 @p509 @p1105) :args (@t779 @t743 (@list @t83 @t371 @t366 @t780))) % 68.34/68.50 (step @p1109 :rule aci_norm :args ((= @t786 @t784))) % 68.34/68.50 (step @p1110 :rule cong :premises (@p1109) :args (@t788)) % 68.34/68.50 (step @p1111 :rule quant-merge-prenex :args ((= (forall @t9 @t790) @t788))) % 68.34/68.50 (step @p1112 :rule alpha_equiv :args (@t791 (@list @t781) @t245)) % 68.34/68.50 (step @p1113 :rule nary_cong :premises (@p131 @p1112) :args (@t792)) % 68.34/68.50 (step @p1114 :rule quant-miniscope-or :args ((= @t790 @t792))) % 68.34/68.50 (step @p1115 :rule trans :premises (@p1114 @p1113)) % 68.34/68.50 (step @p1116 :rule symm :premises (@p1115)) % 68.34/68.50 (step @p1117 :rule cong :premises (@p1116) :args ((forall @t9 (or @t232 @t793)))) % 68.34/68.50 (step @p1118 :rule trans :premises (@p1117 @p1111)) % 68.34/68.50 (step @p1119 :rule trans :premises (@p1118 @p1110)) % 68.34/68.50 (step @p1120 :rule bool-impl-elim :args (@t17 @t793)) % 68.34/68.50 (step @p1121 :rule cong :premises (@p1120) :args ((forall @t9 (=> @t17 @t793)))) % 68.34/68.50 (step @p1122 :rule trans :premises (@p1121 @p1119)) % 68.34/68.50 (step @p1123 :rule bool-impl-elim :args (@t6 @t150)) % 68.34/68.50 (step @p1124 :rule cong :premises (@p1123) :args (@t151)) % 68.34/68.50 (step @p1125 :rule cong :premises (@p326 @p1124) :args (@t152)) % 68.34/68.50 (step @p1126 :rule cong :premises (@p1125) :args (@t153)) % 68.34/68.50 (step @p1127 :rule trans :premises (@p1126 @p1122)) % 68.34/68.50 (step @p1128 :rule eq_resolve :premises (@p81 @p1127)) % 68.34/68.50 (step @p1129 :rule eq-symm :args (@t679 @t739)) % 68.34/68.50 (step @p1130 :rule nary_cong :premises (@p518 @p964 @p1129) :args (@t794)) % 68.34/68.50 (step @p1131 :rule refl :args (@t795)) % 68.34/68.50 (step @p1132 :rule cong :premises (@p1131 @p1130) :args ((=> @t795 @t794))) % 68.34/68.50 (assume-push @p1623 @t795) % 68.34/68.50 (step @p1134 :rule instantiate :premises (@p1128) :args ((@list @t350 @t351))) % 68.34/68.50 (step-pop @p1624 :rule scope :premises (@p1134)) % 68.34/68.50 (step @p1135 :rule process_scope :premises (@p1624) :args (@t794)) % 68.34/68.50 (step @p1137 :rule eq_resolve :premises (@p1135 @p1132)) % 68.34/68.50 (step @p1138 :rule implies_elim :premises (@p1137)) % 68.34/68.50 (step @p1139 :rule chain_m_resolution :premises (@p1138 @p1128) :args (@t797 @t390 (@list @t795))) % 68.34/68.50 (step @p1140 :rule cnf_or_pos :args (@t797)) % 68.34/68.50 (step @p1141 :rule reordering :premises (@p1140) :args ((or @t374 @t454 @t796 (not @t797)))) % 68.34/68.50 (step @p1142 :rule chain_m_resolution :premises (@p1141 @p478 @p500 @p1139) :args (@t796 @t447 (@list @t373 @t452 @t797))) % 68.34/68.50 (assume-push @p1625 @t408) % 68.34/68.50 (assume-push @p1626 @t706) % 68.34/68.50 (assume-push @p1627 @t741) % 68.34/68.50 (assume-push @p1628 @t746) % 68.34/68.50 (assume-push @p1629 @t710) % 68.34/68.50 (assume-push @p1630 @t779) % 68.34/68.50 (assume-push @p1631 @t796) % 68.34/68.50 (assume-push @p1632 @t710) % 68.34/68.50 (assume-push @p1633 @t796) % 68.34/68.50 (assume-push @p1634 @t741) % 68.34/68.50 (assume-push @p1635 @t408) % 68.34/68.50 (assume-push @p1636 @t706) % 68.34/68.50 (assume-push @p1637 @t779) % 68.34/68.50 (assume-push @p1638 @t746) % 68.34/68.50 (step @p1157 :rule symm :premises (@p1011)) % 68.34/68.50 (step @p1158 :rule cong :premises (@p1157 @p1142) :args ((tptp.app @t709 @t739))) % 68.34/68.50 (step @p1159 :rule refl :args (@t739)) % 68.34/68.50 (step @p1160 :rule cong :premises (@p1011 @p1159) :args (@t740)) % 68.34/68.50 (step @p1161 :rule symm :premises (@p1625)) % 68.34/68.50 (step @p1162 :rule refl :args (@t349)) % 68.34/68.50 (step @p1163 :rule cong :premises (@p1162 @p1161) :args (@t798)) % 68.34/68.50 (step @p1164 :rule symm :premises (@p1000)) % 68.34/68.50 (step @p1165 :rule cong :premises (@p1162 @p1164) :args (@t776)) % 68.34/68.50 (step @p1166 :rule trans :premises (@p1108 @p1165 @p1163)) % 68.34/68.50 (step @p1167 :rule refl :args (@t354)) % 68.34/68.50 (step @p1168 :rule cong :premises (@p1167 @p1166) :args (@t745)) % 68.34/68.50 (step @p1169 :rule trans :premises (@p1057 @p1168 @p1053 @p1160 @p1158)) % 68.34/68.50 (step-pop @p1639 :rule scope :premises (@p1169)) % 68.34/68.50 (step-pop @p1640 :rule scope :premises (@p1639)) % 68.34/68.50 (step-pop @p1641 :rule scope :premises (@p1640)) % 68.34/68.50 (step-pop @p1642 :rule scope :premises (@p1641)) % 68.34/68.50 (step-pop @p1643 :rule scope :premises (@p1642)) % 68.34/68.50 (step-pop @p1644 :rule scope :premises (@p1643)) % 68.34/68.50 (step-pop @p1645 :rule scope :premises (@p1644)) % 68.34/68.50 (step @p1170 :rule process_scope :premises (@p1645) :args (@t700)) % 68.34/68.50 (step @p1178 :rule and_intro :premises (@p1011 @p1142 @p1053 @p1625 @p1000 @p1108 @p1057)) % 68.34/68.50 (step @p1179 :rule modus_ponens :premises (@p1178 @p1170)) % 68.34/68.50 (step-pop @p1646 :rule scope :premises (@p1179)) % 68.34/68.50 (step-pop @p1647 :rule scope :premises (@p1646)) % 68.34/68.50 (step-pop @p1648 :rule scope :premises (@p1647)) % 68.34/68.50 (step-pop @p1649 :rule scope :premises (@p1648)) % 68.34/68.50 (step-pop @p1650 :rule scope :premises (@p1649)) % 68.34/68.50 (step-pop @p1651 :rule scope :premises (@p1650)) % 68.34/68.50 (step-pop @p1652 :rule scope :premises (@p1651)) % 68.34/68.50 (step @p1180 :rule process_scope :premises (@p1652) :args (@t700)) % 68.34/68.50 (step @p1188 :rule implies_elim :premises (@p1180)) % 68.34/68.50 (step @p1189 :rule cnf_and_neg :args (@t799)) % 68.34/68.50 (step @p1190 :rule resolution :premises (@p1189 @p1188) :args (true @t799)) % 68.34/68.50 (step @p1191 :rule aci_norm :args ((= (or @t232 @t804) @t803))) % 68.34/68.50 (step @p1192 :rule bool-impl-elim :args (@t17 @t804)) % 68.34/68.50 (step @p1193 :rule trans :premises (@p1192 @p1191)) % 68.34/68.50 (step @p1194 :rule cong :premises (@p1193) :args ((forall @t9 (=> @t17 @t804)))) % 68.34/68.50 (step @p1195 :rule aci_norm :args ((= @t806 @t801))) % 68.34/68.50 (step @p1196 :rule cong :premises (@p1195) :args (@t807)) % 68.34/68.50 (step @p1197 :rule quant-merge-prenex :args ((= (forall @t7 @t809) @t807))) % 68.34/68.50 (step @p1198 :rule alpha_equiv :args (@t810 (@list @t668) @t736)) % 68.34/68.50 (step @p1199 :rule nary_cong :premises (@p1030 @p1198) :args (@t811)) % 68.34/68.50 (step @p1200 :rule quant-miniscope-or :args ((= @t809 @t811))) % 68.34/68.50 (step @p1201 :rule trans :premises (@p1200 @p1199)) % 68.34/68.50 (step @p1202 :rule symm :premises (@p1201)) % 68.34/68.50 (step @p1203 :rule cong :premises (@p1202) :args ((forall @t7 (or @t254 @t813)))) % 68.34/68.50 (step @p1204 :rule trans :premises (@p1203 @p1197)) % 68.34/68.50 (step @p1205 :rule trans :premises (@p1204 @p1196)) % 68.34/68.50 (step @p1206 :rule bool-double-not-elim :args (@t813)) % 68.34/68.50 (step @p1207 :rule nary_cong :premises (@p1030 @p1206) :args ((or @t254 (not @t814)))) % 68.34/68.50 (step @p1208 :rule bool-and-de-morgan :args (@t27 @t814 true)) % 68.34/68.50 (step @p1209 :rule trans :premises (@p1208 @p1207)) % 68.34/68.50 (step @p1210 :rule cong :premises (@p1209) :args (@t816)) % 68.34/68.50 (step @p1211 :rule trans :premises (@p1210 @p1205)) % 68.34/68.50 (step @p1212 :rule cong :premises (@p1211) :args (@t817)) % 68.34/68.50 (step @p1213 :rule exists-elim :args ((= (exists @t7 @t815) @t817))) % 68.34/68.50 (step @p1214 :rule trans :premises (@p1213 @p1212)) % 68.34/68.50 (step @p1215 :rule bool-and-de-morgan :args (@t42 @t812 true)) % 68.34/68.50 (step @p1216 :rule cong :premises (@p1215) :args (@t819)) % 68.34/68.50 (step @p1217 :rule cong :premises (@p1216) :args (@t820)) % 68.34/68.50 (step @p1218 :rule exists-elim :args ((= (exists @t16 @t818) @t820))) % 68.34/68.50 (step @p1219 :rule trans :premises (@p1218 @p1217)) % 68.34/68.50 (step @p1220 :rule eq-symm :args (@t90 @t2)) % 68.34/68.50 (step @p1221 :rule nary_cong :premises (@p910 @p1220) :args (@t91)) % 68.34/68.50 (step @p1222 :rule cong :premises (@p1221) :args (@t92)) % 68.34/68.50 (step @p1223 :rule trans :premises (@p1222 @p1219)) % 68.34/68.50 (step @p1224 :rule nary_cong :premises (@p322 @p1223) :args (@t93)) % 68.34/68.50 (step @p1225 :rule cong :premises (@p1224) :args (@t94)) % 68.34/68.50 (step @p1226 :rule trans :premises (@p1225 @p1214)) % 68.34/68.50 (step @p1227 :rule nary_cong :premises (@p344 @p1226) :args (@t96)) % 68.34/68.50 (step @p1228 :rule cong :premises (@p326 @p1227) :args (@t97)) % 68.34/68.50 (step @p1229 :rule cong :premises (@p1228) :args (@t98)) % 68.34/68.50 (step @p1230 :rule trans :premises (@p1229 @p1194)) % 68.34/68.50 (step @p1231 :rule eq_resolve :premises (@p20 @p1230)) % 68.34/68.50 (step @p1232 :rule eq-symm :args (@t348 @t669)) % 68.34/68.50 (step @p1233 :rule cong :premises (@p1232) :args (@t821)) % 68.34/68.50 (step @p1234 :rule refl :args (@t670)) % 68.34/68.50 (step @p1235 :rule nary_cong :premises (@p176 @p1234 @p1233) :args (@t822)) % 68.34/68.50 (step @p1236 :rule cong :premises (@p1235) :args (@t823)) % 68.34/68.50 (step @p1237 :rule cong :premises (@p1236) :args (@t824)) % 68.34/68.50 (step @p1238 :rule eq-symm :args (@t348 tptp.nil)) % 68.34/68.50 (step @p1239 :rule nary_cong :premises (@p418 @p1238 @p1237) :args (@t826)) % 68.34/68.50 (step @p1240 :rule refl :args (@t827)) % 68.34/68.50 (step @p1241 :rule cong :premises (@p1240 @p1239) :args ((=> @t827 @t826))) % 68.34/68.50 (assume-push @p1653 @t827) % 68.34/68.50 (step @p1243 :rule instantiate :premises (@p1231) :args (@t704)) % 68.34/68.50 (step-pop @p1654 :rule scope :premises (@p1243)) % 68.34/68.50 (step @p1244 :rule process_scope :premises (@p1654) :args (@t826)) % 68.34/68.50 (step @p1246 :rule eq_resolve :premises (@p1244 @p1241)) % 68.34/68.50 (step @p1247 :rule implies_elim :premises (@p1246)) % 68.34/68.50 (step @p1248 :rule chain_m_resolution :premises (@p1247 @p1231) :args (@t829 @t390 (@list @t827))) % 68.34/68.50 (step @p1249 :rule cnf_or_pos :args (@t829)) % 68.34/68.50 (step @p1250 :rule reordering :premises (@p1249) :args ((or @t367 @t408 @t828 (not @t829)))) % 68.34/68.50 (step @p1251 :rule refl :args (@t697)) % 68.34/68.50 (step @p1252 :rule nary_cong :premises (@p418 @p1238 @p1251) :args (@t830)) % 68.34/68.50 (step @p1253 :rule cong :premises (@p724 @p1252) :args ((=> @t550 @t830))) % 68.34/68.50 (assume-push @p1655 @t550) % 68.34/68.50 (step @p1255 :rule instantiate :premises (@p721) :args (@t704)) % 68.34/68.50 (step-pop @p1656 :rule scope :premises (@p1255)) % 68.34/68.50 (step @p1256 :rule process_scope :premises (@p1656) :args (@t830)) % 68.34/68.50 (step @p1258 :rule eq_resolve :premises (@p1256 @p1253)) % 68.34/68.50 (step @p1259 :rule implies_elim :premises (@p1258)) % 68.34/68.50 (step @p1260 :rule chain_m_resolution :premises (@p1259 @p721) :args (@t831 @t390 @t552)) % 68.34/68.50 (step @p1261 :rule cnf_or_pos :args (@t831)) % 68.34/68.50 (step @p1262 :rule reordering :premises (@p1261) :args ((or @t367 @t408 @t697 (not @t831)))) % 68.34/68.50 (step @p1263 :rule refl :args (@t839)) % 68.34/68.50 (step @p1264 :rule bool-double-not-elim :args (@t672)) % 68.34/68.50 (step @p1265 :rule nary_cong :premises (@p1264 @p1263) :args ((or (not @t828) @t839))) % 68.34/68.50 (step @p1266 :rule eq-symm :args (@t833 @t348)) % 68.34/68.50 (step @p1267 :rule cong :premises (@p1266) :args (@t840)) % 68.34/68.50 (step @p1268 :rule refl :args (@t837)) % 68.34/68.50 (step @p1269 :rule nary_cong :premises (@p949 @p1268 @p1267) :args (@t841)) % 68.34/68.50 (step @p1270 :rule cong :premises (@p1269) :args (@t842)) % 68.34/68.50 (step @p1271 :rule refl :args (@t828)) % 68.34/68.50 (step @p1272 :rule cong :premises (@p1271 @p1270) :args ((=> @t828 @t842))) % 68.34/68.50 (assume-push @p1657 @t828) % 68.34/68.50 (step @p1274 :rule skolemize :premises (@p1657)) % 68.34/68.50 (step-pop @p1658 :rule scope :premises (@p1274)) % 68.34/68.50 (step @p1275 :rule process_scope :premises (@p1658) :args (@t842)) % 68.34/68.50 (step @p1277 :rule eq_resolve :premises (@p1275 @p1272)) % 68.34/68.50 (step @p1278 :rule implies_elim :premises (@p1277)) % 68.34/68.50 (step @p1279 :rule eq_resolve :premises (@p1278 @p1265)) % 68.34/68.50 (step @p1280 :rule bool-double-not-elim :args (@t676)) % 68.34/68.50 (step @p1281 :rule refl :args (@t838)) % 68.34/68.50 (step @p1282 :rule nary_cong :premises (@p1281 @p1280) :args ((or @t838 (not @t677)))) % 68.34/68.50 (step @p1283 :rule cnf_or_neg :args (@t838 0)) % 68.34/68.50 (step @p1284 :rule eq_resolve :premises (@p1283 @p1282)) % 68.34/68.50 (step @p1285 :rule reordering :premises (@p1284) :args ((or @t676 @t838))) % 68.34/68.50 (step @p1286 :rule bool-double-not-elim :args (@t836)) % 68.34/68.50 (step @p1287 :rule nary_cong :premises (@p1281 @p1286) :args ((or @t838 (not @t837)))) % 68.34/68.50 (step @p1288 :rule cnf_or_neg :args (@t838 1)) % 68.34/68.50 (step @p1289 :rule eq_resolve :premises (@p1288 @p1287)) % 68.34/68.50 (step @p1290 :rule reordering :premises (@p1289) :args ((or @t836 @t838))) % 68.34/68.50 (step @p1291 :rule bool-double-not-elim :args (@t834)) % 68.34/68.50 (step @p1292 :rule nary_cong :premises (@p1281 @p1291) :args ((or @t838 (not @t835)))) % 68.34/68.50 (step @p1293 :rule cnf_or_neg :args (@t838 2)) % 68.34/68.50 (step @p1294 :rule eq_resolve :premises (@p1293 @p1292)) % 68.34/68.50 (step @p1295 :rule reordering :premises (@p1294) :args ((or @t834 @t838))) % 68.34/68.50 (step @p1296 :rule cnf_or_pos :args (@t845)) % 68.34/68.50 (step @p1297 :rule reordering :premises (@p1296) :args ((or @t445 @t372 @t455 @t677 @t844 @t846))) % 68.34/68.50 (step @p1298 :rule instantiate :premises (@p696) :args ((@list @t673 @t832))) % 68.34/68.50 (step @p1299 :rule cnf_or_pos :args (@t849)) % 68.34/68.50 (step @p1300 :rule reordering :premises (@p1299) :args ((or @t677 @t837 @t848 (not @t849)))) % 68.34/68.50 (assume-push @p1659 @t834) % 68.34/68.50 (assume-push @p1660 @t848) % 68.34/68.50 (assume-push @p1661 @t696) % 68.34/68.50 (assume-push @p1662 @t696) % 68.34/68.50 (assume-push @p1663 @t834) % 68.34/68.50 (assume-push @p1664 @t848) % 68.34/68.50 (step @p1307 :rule refl :args (@t673)) % 68.34/68.50 (step @p1308 :rule symm :premises (@p1661)) % 68.34/68.50 (step @p1309 :rule symm :premises (@p1659)) % 68.34/68.50 (step @p1310 :rule cong :premises (@p1309) :args (@t847)) % 68.34/68.50 (step @p1311 :rule trans :premises (@p1660 @p1310)) % 68.34/68.50 (step @p1312 :rule trans :premises (@p1311 @p1308)) % 68.34/68.50 (step @p1313 :rule cong :premises (@p1312 @p1307) :args (@t833)) % 68.34/68.50 (step @p1314 :rule trans :premises (@p1659 @p1313)) % 68.34/68.50 (step @p1315 :rule refl :args (@t355)) % 68.34/68.50 (step @p1316 :rule cong :premises (@p1315 @p1314) :args (@t356)) % 68.34/68.50 (step-pop @p1665 :rule scope :premises (@p1316)) % 68.34/68.50 (step-pop @p1666 :rule scope :premises (@p1665)) % 68.34/68.50 (step-pop @p1667 :rule scope :premises (@p1666)) % 68.34/68.50 (step @p1317 :rule process_scope :premises (@p1667) :args (@t843)) % 68.34/68.50 (step @p1321 :rule and_intro :premises (@p1661 @p1659 @p1660)) % 68.34/68.50 (step @p1322 :rule modus_ponens :premises (@p1321 @p1317)) % 68.34/68.50 (step-pop @p1668 :rule scope :premises (@p1322)) % 68.34/68.50 (step-pop @p1669 :rule scope :premises (@p1668)) % 68.34/68.50 (step-pop @p1670 :rule scope :premises (@p1669)) % 68.34/68.50 (step @p1323 :rule process_scope :premises (@p1670) :args (@t843)) % 68.34/68.50 (step @p1327 :rule implies_elim :premises (@p1323)) % 68.34/68.50 (step @p1328 :rule cnf_and_neg :args (@t850)) % 68.34/68.50 (step @p1329 :rule resolution :premises (@p1328 @p1327) :args (true @t850)) % 68.34/68.50 (step @p1330 :rule cnf_or_pos :args (@t853)) % 68.34/68.50 (step @p1331 :rule reordering :premises (@p1330) :args ((or @t372 @t455 @t698 @t677 @t696 @t852 (not @t853)))) % 68.34/68.50 (assume-push @p1671 @t706) % 68.34/68.50 (assume-push @p1672 @t746) % 68.34/68.50 (assume-push @p1673 @t834) % 68.34/68.50 (assume-push @p1674 @t848) % 68.34/68.50 (assume-push @p1675 @t779) % 68.34/68.50 (assume-push @p1676 @t834) % 68.34/68.50 (assume-push @p1677 @t848) % 68.34/68.50 (assume-push @p1678 @t706) % 68.34/68.50 (assume-push @p1679 @t779) % 68.34/68.50 (assume-push @p1680 @t746) % 68.34/68.50 (step @p1307 :rule refl :args (@t673)) % 68.34/68.50 (step @p1342 :rule symm :premises (@p1673)) % 68.34/68.50 (step @p1343 :rule cong :premises (@p1342) :args (@t847)) % 68.34/68.50 (step @p1344 :rule trans :premises (@p1674 @p1343)) % 68.34/68.50 (step @p1345 :rule cong :premises (@p1344 @p1307) :args (@t833)) % 68.34/68.50 (step @p1346 :rule trans :premises (@p1673 @p1345)) % 68.34/68.50 (step @p1162 :rule refl :args (@t349)) % 68.34/68.50 (step @p1347 :rule cong :premises (@p1162 @p1346) :args (@t798)) % 68.34/68.50 (step @p1164 :rule symm :premises (@p1000)) % 68.34/68.50 (step @p1165 :rule cong :premises (@p1162 @p1164) :args (@t776)) % 68.34/68.50 (step @p1348 :rule trans :premises (@p1108 @p1165 @p1347)) % 68.34/68.50 (step @p1167 :rule refl :args (@t354)) % 68.34/68.50 (step @p1349 :rule cong :premises (@p1167 @p1348) :args (@t745)) % 68.34/68.50 (step @p1350 :rule trans :premises (@p1057 @p1349)) % 68.34/68.50 (step-pop @p1681 :rule scope :premises (@p1350)) % 68.34/68.50 (step-pop @p1682 :rule scope :premises (@p1681)) % 68.34/68.50 (step-pop @p1683 :rule scope :premises (@p1682)) % 68.34/68.50 (step-pop @p1684 :rule scope :premises (@p1683)) % 68.34/68.50 (step-pop @p1685 :rule scope :premises (@p1684)) % 68.34/68.50 (step @p1351 :rule process_scope :premises (@p1685) :args (@t851)) % 68.34/68.50 (step @p1357 :rule and_intro :premises (@p1673 @p1674 @p1000 @p1108 @p1057)) % 68.34/68.50 (step @p1358 :rule modus_ponens :premises (@p1357 @p1351)) % 68.34/68.50 (step-pop @p1686 :rule scope :premises (@p1358)) % 68.34/68.50 (step-pop @p1687 :rule scope :premises (@p1686)) % 68.34/68.50 (step-pop @p1688 :rule scope :premises (@p1687)) % 68.34/68.50 (step-pop @p1689 :rule scope :premises (@p1688)) % 68.34/68.50 (step-pop @p1690 :rule scope :premises (@p1689)) % 68.34/68.50 (step @p1359 :rule process_scope :premises (@p1690) :args (@t851)) % 68.34/68.50 (step @p1365 :rule implies_elim :premises (@p1359)) % 68.34/68.50 (step @p1366 :rule cnf_and_neg :args (@t854)) % 68.34/68.50 (step @p1367 :rule resolution :premises (@p1366 @p1365) :args (true @t854)) % 68.34/68.50 (step @p1368 :rule chain_m_resolution :premises (@p1367 @p1108 @p1057 @p1000 @p1331 @p490 @p497 @p1329 @p1300 @p1298 @p1297 @p490 @p497 @p17 @p1295 @p1290 @p1285 @p1279 @p1262 @p1260 @p509 @p1250 @p1248 @p509 @p1190 @p1142 @p1108 @p1057 @p1053 @p1011 @p1000 @p989 @p487 @p987 @p497 @p478 @p17 @p985 @p973) :args ((or (not @t692) @t846) (@list false false false true false false true false false true false false false false false false true false false false true false false true false false false false false false true false true false false false false false) (@list @t779 @t746 @t706 @t851 @t448 @t371 @t696 @t848 @t849 @t843 @t448 @t371 @t83 @t834 @t836 @t676 @t838 @t697 @t831 @t366 @t672 @t829 @t366 @t408 @t796 @t779 @t746 @t741 @t710 @t706 @t700 @t368 @t370 @t371 @t373 @t83 @t853 @t702))) % 68.34/68.50 (step @p1369 :rule bool-impl-elim :args (@t17 @t857)) % 68.34/68.50 (step @p1370 :rule cong :premises (@p1369) :args ((forall @t9 (=> @t17 @t857)))) % 68.34/68.50 (step @p1371 :rule aci_norm :args ((= @t859 @t856))) % 68.34/68.50 (step @p1372 :rule cong :premises (@p1371) :args (@t860)) % 68.34/68.50 (step @p1373 :rule quant-merge-prenex :args ((= (forall @t7 @t862) @t860))) % 68.34/68.50 (step @p1374 :rule alpha_equiv :args (@t863 (@list @t684 @t685 @t683) (@list @t12 @t865 @t864))) % 68.34/68.50 (step @p1375 :rule nary_cong :premises (@p775 @p1374) :args (@t866)) % 68.34/68.50 (step @p1376 :rule quant-miniscope-or :args ((= @t862 @t866))) % 68.34/68.50 (step @p1377 :rule trans :premises (@p1376 @p1375)) % 68.34/68.50 (step @p1378 :rule symm :premises (@p1377)) % 68.34/68.50 (step @p1379 :rule cong :premises (@p1378) :args ((forall @t7 (or @t442 @t872)))) % 68.34/68.50 (step @p1380 :rule trans :premises (@p1379 @p1373)) % 68.34/68.50 (step @p1381 :rule trans :premises (@p1380 @p1372)) % 68.34/68.50 (step @p1382 :rule bool-impl-elim :args (@t6 @t872)) % 68.34/68.50 (step @p1383 :rule cong :premises (@p1382) :args ((forall @t7 (=> @t6 @t872)))) % 68.34/68.50 (step @p1384 :rule trans :premises (@p1383 @p1381)) % 68.34/68.50 (step @p1385 :rule aci_norm :args ((= @t874 @t870))) % 68.34/68.50 (step @p1386 :rule cong :premises (@p1385) :args (@t875)) % 68.34/68.50 (step @p1387 :rule quant-merge-prenex :args ((= (forall @t16 @t877) @t875))) % 68.34/68.50 (step @p1388 :rule alpha_equiv :args (@t878 (@list @t865 @t864) (@list @t10 @t879))) % 68.34/68.50 (step @p1389 :rule refl :args (@t44)) % 68.34/68.50 (step @p1390 :rule nary_cong :premises (@p807 @p1389 @p1388) :args (@t880)) % 68.34/68.50 (step @p1391 :rule quant-miniscope-or :args ((= @t877 @t880))) % 68.34/68.50 (step @p1392 :rule trans :premises (@p1391 @p1390)) % 68.34/68.50 (step @p1393 :rule symm :premises (@p1392)) % 68.34/68.50 (step @p1394 :rule cong :premises (@p1393) :args ((forall @t16 @t886))) % 68.34/68.50 (step @p1395 :rule trans :premises (@p1394 @p1387)) % 68.34/68.50 (step @p1396 :rule trans :premises (@p1395 @p1386)) % 68.34/68.50 (step @p1397 :rule aci_norm :args ((= (or @t595 @t887) @t886))) % 68.34/68.50 (step @p1398 :rule bool-impl-elim :args (@t42 @t887)) % 68.34/68.50 (step @p1399 :rule trans :premises (@p1398 @p1397)) % 68.34/68.50 (step @p1400 :rule cong :premises (@p1399) :args ((forall @t16 (=> @t42 @t887)))) % 68.34/68.50 (step @p1401 :rule trans :premises (@p1400 @p1396)) % 68.34/68.50 (step @p1402 :rule aci_norm :args ((= @t889 @t883))) % 68.34/68.50 (step @p1403 :rule cong :premises (@p1402) :args (@t890)) % 68.34/68.50 (step @p1404 :rule quant-merge-prenex :args ((= (forall @t14 @t892) @t890))) % 68.34/68.50 (step @p1405 :rule alpha_equiv :args (@t893 (@list @t879) (@list @t34))) % 68.34/68.50 (step @p1406 :rule nary_cong :premises (@p203 @p1405) :args (@t894)) % 68.34/68.50 (step @p1407 :rule quant-miniscope-or :args ((= @t892 @t894))) % 68.34/68.50 (step @p1408 :rule trans :premises (@p1407 @p1406)) % 68.34/68.50 (step @p1409 :rule symm :premises (@p1408)) % 68.34/68.50 (step @p1410 :rule cong :premises (@p1409) :args (@t900)) % 68.34/68.50 (step @p1411 :rule trans :premises (@p1410 @p1404)) % 68.34/68.50 (step @p1412 :rule trans :premises (@p1411 @p1403)) % 68.34/68.50 (step @p1413 :rule refl :args (@t44)) % 68.34/68.50 (step @p1414 :rule nary_cong :premises (@p1413 @p1412) :args (@t901)) % 68.34/68.50 (step @p1415 :rule quant-miniscope-or :args ((= (forall @t14 @t902) @t901))) % 68.34/68.50 (step @p1416 :rule aci_norm :args ((= @t903 @t902))) % 68.34/68.50 (step @p1417 :rule cong :premises (@p1416) :args ((forall @t14 @t903))) % 68.34/68.50 (step @p1418 :rule trans :premises (@p1417 @p1415)) % 68.34/68.50 (step @p1419 :rule trans :premises (@p1418 @p1414)) % 68.34/68.50 (step @p1420 :rule aci_norm :args ((= (or @t287 @t904) @t903))) % 68.34/68.50 (step @p1421 :rule bool-impl-elim :args (@t13 @t904)) % 68.34/68.50 (step @p1422 :rule trans :premises (@p1421 @p1420)) % 68.34/68.50 (step @p1423 :rule cong :premises (@p1422) :args ((forall @t14 (=> @t13 @t904)))) % 68.34/68.50 (step @p1424 :rule trans :premises (@p1423 @p1419)) % 68.34/68.50 (step @p1425 :rule quant-miniscope-or :args ((= (forall @t41 @t905) @t904))) % 68.34/68.50 (step @p1426 :rule aci_norm :args ((= @t906 @t905))) % 68.34/68.50 (step @p1427 :rule cong :premises (@p1426) :args ((forall @t41 @t906))) % 68.34/68.50 (step @p1428 :rule trans :premises (@p1427 @p1425)) % 68.34/68.50 (step @p1429 :rule aci_norm :args ((= (or @t628 (or @t896 @t44)) @t906))) % 68.34/68.50 (step @p1430 :rule bool-impl-elim :args (@t895 @t44)) % 68.34/68.50 (step @p1431 :rule nary_cong :premises (@p865 @p1430) :args ((or @t628 @t907))) % 68.34/68.50 (step @p1432 :rule trans :premises (@p1431 @p1429)) % 68.34/68.50 (step @p1433 :rule bool-impl-elim :args (@t40 @t907)) % 68.34/68.50 (step @p1434 :rule trans :premises (@p1433 @p1432)) % 68.34/68.50 (step @p1435 :rule cong :premises (@p1434) :args ((forall @t41 (=> @t40 @t907)))) % 68.34/68.50 (step @p1436 :rule trans :premises (@p1435 @p1428)) % 68.34/68.50 (step @p1437 :rule eq-symm :args (@t61 @t2)) % 68.34/68.50 (step @p1438 :rule cong :premises (@p1437 @p1413) :args (@t62)) % 68.34/68.50 (step @p1439 :rule cong :premises (@p903 @p1438) :args (@t63)) % 68.34/68.50 (step @p1440 :rule cong :premises (@p1439) :args (@t64)) % 68.34/68.50 (step @p1441 :rule trans :premises (@p1440 @p1436)) % 68.34/68.50 (step @p1442 :rule cong :premises (@p314 @p1441) :args (@t65)) % 68.34/68.50 (step @p1443 :rule cong :premises (@p1442) :args (@t66)) % 68.34/68.50 (step @p1444 :rule trans :premises (@p1443 @p1424)) % 68.34/68.50 (step @p1445 :rule cong :premises (@p910 @p1444) :args (@t67)) % 68.34/68.50 (step @p1446 :rule cong :premises (@p1445) :args (@t68)) % 68.34/68.50 (step @p1447 :rule trans :premises (@p1446 @p1401)) % 68.34/68.50 (step @p1448 :rule cong :premises (@p550 @p1447) :args (@t69)) % 68.34/68.50 (step @p1449 :rule cong :premises (@p1448) :args (@t70)) % 68.34/68.50 (step @p1450 :rule trans :premises (@p1449 @p1384)) % 68.34/68.50 (step @p1451 :rule refl :args (@t71)) % 68.34/68.50 (step @p1452 :rule cong :premises (@p1451 @p1450) :args (@t72)) % 68.34/68.50 (step @p1453 :rule cong :premises (@p326 @p1452) :args (@t73)) % 68.34/68.50 (step @p1454 :rule cong :premises (@p1453) :args (@t74)) % 68.34/68.50 (step @p1455 :rule trans :premises (@p1454 @p1370)) % 68.34/68.50 (step @p1456 :rule eq_resolve :premises (@p14 @p1455)) % 68.34/68.50 (step @p1457 :rule eq-symm :args (@t356 @t686)) % 68.34/68.50 (step @p1458 :rule cong :premises (@p1457) :args (@t908)) % 68.34/68.50 (step @p1459 :rule refl :args (@t687)) % 68.34/68.50 (step @p1460 :rule refl :args (@t688)) % 68.34/68.50 (step @p1461 :rule refl :args (@t689)) % 68.34/68.50 (step @p1462 :rule refl :args (@t690)) % 68.34/68.50 (step @p1463 :rule nary_cong :premises (@p643 @p1462 @p1461 @p1460 @p1459 @p1458) :args (@t909)) % 68.34/68.50 (step @p1464 :rule cong :premises (@p1463) :args (@t910)) % 68.34/68.50 (step @p1465 :rule refl :args (@t911)) % 68.34/68.50 (step @p1466 :rule cong :premises (@p1465 @p1464) :args (@t912)) % 68.34/68.50 (step @p1467 :rule nary_cong :premises (@p358 @p1466) :args (@t913)) % 68.34/68.50 (step @p1468 :rule refl :args (@t914)) % 68.34/68.50 (step @p1469 :rule cong :premises (@p1468 @p1467) :args ((=> @t914 @t913))) % 68.34/68.50 (assume-push @p1691 @t914) % 68.34/68.50 (step @p1471 :rule instantiate :premises (@p1456) :args (@t386)) % 68.34/68.50 (step-pop @p1692 :rule scope :premises (@p1471)) % 68.34/68.50 (step @p1472 :rule process_scope :premises (@p1692) :args (@t913)) % 68.34/68.50 (step @p1474 :rule eq_resolve :premises (@p1472 @p1469)) % 68.34/68.50 (step @p1475 :rule implies_elim :premises (@p1474)) % 68.34/68.50 (step @p1476 :rule chain_m_resolution :premises (@p1475 @p1456) :args (@t916 @t390 (@list @t914))) % 68.34/68.50 (step @p1477 :rule cnf_or_pos :args (@t916)) % 68.34/68.50 (step @p1478 :rule reordering :premises (@p1477) :args ((or @t376 @t915 (not @t916)))) % 68.34/68.50 (step @p1479 :rule chain_m_resolution :premises (@p1478 @p374 @p1476) :args (@t915 @t391 (@list @t375 @t916))) % 68.34/68.50 (step @p1480 :rule cnf_equiv_pos1 :args (@t915)) % 68.34/68.50 (step @p1481 :rule reordering :premises (@p1480) :args ((or @t692 (not @t911) (not @t915)))) % 68.34/68.50 (step @p1482 :rule bool-impl-elim :args (@t8 @t147)) % 68.34/68.50 (step @p1483 :rule cong :premises (@p1482) :args (@t148)) % 68.34/68.50 (step @p1484 :rule eq_resolve :premises (@p73 @p1483)) % 68.34/68.50 (step @p1485 :rule instantiate :premises (@p1484) :args (@t544)) % 68.34/68.50 (step @p1486 :rule cnf_or_pos :args (@t918)) % 68.34/68.50 (step @p1487 :rule reordering :premises (@p1486) :args ((or @t556 @t917 (not @t918)))) % 68.34/68.50 (step @p1488 :rule chain_m_resolution :premises (@p1487 @p735 @p1485) :args (@t917 @t391 (@list @t548 @t918))) % 68.34/68.50 (assume-push @p1693 @t524) % 68.34/68.50 (assume-push @p1694 @t541) % 68.34/68.50 (assume-push @p1695 @t917) % 68.34/68.50 (assume-push @p1696 @t917) % 68.34/68.50 (assume-push @p1697 @t524) % 68.34/68.50 (assume-push @p1698 @t541) % 68.34/68.50 (step @p1495 :rule true_intro :premises (@p1488)) % 68.34/68.50 (step @p746 :rule refl :args (tptp.nil)) % 68.34/68.50 (step @p1496 :rule symm :premises (@p1693)) % 68.34/68.50 (step @p1497 :rule cong :premises (@p1496) :args (@t540)) % 68.34/68.50 (step @p1498 :rule trans :premises (@p1694 @p1497)) % 68.34/68.50 (step @p1499 :rule cong :premises (@p1498 @p746) :args (@t523)) % 68.34/68.50 (step @p1500 :rule trans :premises (@p1693 @p1499)) % 68.34/68.50 (step @p1501 :rule cong :premises (@p1500) :args (@t911)) % 68.34/68.50 (step @p1502 :rule trans :premises (@p1501 @p1495)) % 68.34/68.50 (step @p1503 :rule true_elim :premises (@p1502)) % 68.34/68.50 (step-pop @p1699 :rule scope :premises (@p1503)) % 68.34/68.50 (step-pop @p1700 :rule scope :premises (@p1699)) % 68.34/68.50 (step-pop @p1701 :rule scope :premises (@p1700)) % 68.34/68.50 (step @p1504 :rule process_scope :premises (@p1701) :args (@t911)) % 68.34/68.50 (step @p1508 :rule and_intro :premises (@p1488 @p1693 @p1694)) % 68.34/68.50 (step @p1509 :rule modus_ponens :premises (@p1508 @p1504)) % 68.34/68.50 (step-pop @p1702 :rule scope :premises (@p1509)) % 68.34/68.50 (step-pop @p1703 :rule scope :premises (@p1702)) % 68.34/68.50 (step-pop @p1704 :rule scope :premises (@p1703)) % 68.34/68.50 (step @p1510 :rule process_scope :premises (@p1704) :args (@t911)) % 68.34/68.50 (step @p1514 :rule implies_elim :premises (@p1510)) % 68.34/68.50 (step @p1515 :rule cnf_and_neg :args (@t919)) % 68.34/68.50 (step @p1516 :rule resolution :premises (@p1515 @p1514) :args (true @t919)) % 68.34/68.50 (step @p1517 :rule reordering :premises (@p1516) :args ((or @t911 @t525 @t560 (not @t917)))) % 68.34/68.50 (step @p1518 :rule chain_m_resolution :premises (@p1517 @p1488 @p1481 @p1479 @p1368 @p959 @p946 @p944 @p768 @p738 @p699 @p697 @p17 @p672 @p667) :args (@t527 (@list false true false true false false false false false false false false false false) (@list @t917 @t911 @t915 @t692 @t845 @t665 @t666 @t558 @t555 @t541 @t542 @t83 @t524 @t522))) % 68.34/68.50 (step @p1519 :rule refl :args (@t920)) % 68.34/68.50 (step @p1520 :rule bool-double-not-elim :args (@t517)) % 68.34/68.50 (step @p1521 :rule nary_cong :premises (@p1520 @p1519) :args ((or (not @t518) @t920))) % 68.34/68.50 (step @p1522 :rule eq-symm :args (@t523 @t356)) % 68.34/68.50 (step @p1523 :rule cong :premises (@p1522) :args (@t921)) % 68.34/68.50 (step @p1524 :rule refl :args (@t526)) % 68.34/68.50 (step @p1525 :rule nary_cong :premises (@p1524 @p1523) :args (@t922)) % 68.34/68.50 (step @p1526 :rule cong :premises (@p1525) :args (@t923)) % 68.34/68.50 (step @p1527 :rule refl :args (@t518)) % 68.34/68.50 (step @p1528 :rule cong :premises (@p1527 @p1526) :args ((=> @t518 @t923))) % 68.34/68.50 (assume-push @p1705 @t518) % 68.34/68.50 (step @p1530 :rule skolemize :premises (@p1705)) % 68.34/68.50 (step-pop @p1706 :rule scope :premises (@p1530)) % 68.34/68.50 (step @p1531 :rule process_scope :premises (@p1706) :args (@t923)) % 68.34/68.50 (step @p1533 :rule eq_resolve :premises (@p1531 @p1528)) % 68.34/68.50 (step @p1534 :rule implies_elim :premises (@p1533)) % 68.34/68.50 (step @p1535 :rule eq_resolve :premises (@p1534 @p1521)) % 68.34/68.50 (step @p1536 :rule chain_m_resolution :premises (@p1535 @p1518) :args (@t517 @t390 (@list @t527))) % 68.34/68.50 (step @p1537 :rule cnf_equiv_pos1 :args (@t519)) % 68.34/68.50 (step @p1538 :rule reordering :premises (@p1537) :args ((or @t361 @t518 (not @t519)))) % 68.34/68.50 (step @p1539 :rule chain_m_resolution :premises (@p1538 @p1536 @p661) :args (@t361 @t391 (@list @t517 @t519))) % 68.34/68.50 (step @p1540 :rule refl :args (@t924)) % 68.34/68.50 (step @p1541 :rule bool-double-not-elim :args (@t360)) % 68.34/68.50 (step @p1542 :rule refl :args (@t362)) % 68.34/68.50 (step @p1543 :rule nary_cong :premises (@p1542 @p1541 @p1540) :args ((or @t362 (not @t361) @t924))) % 68.34/68.50 (step @p1544 :rule cnf_and_neg :args (@t362)) % 68.34/68.50 (step @p1545 :rule eq_resolve :premises (@p1544 @p1543)) % 68.34/68.50 (step @p1546 :rule reordering :premises (@p1545) :args ((or @t360 @t362 @t924))) % 68.34/68.50 (step @p1547 :rule chain_m_resolution :premises (@p1546 @p1539 @p623) :args (@t924 (@list true true) (@list @t360 @t362))) % 68.34/68.50 (step @p1548 :rule bool-double-not-elim :args (@t501)) % 68.34/68.50 (step @p1549 :rule refl :args (@t925)) % 68.34/68.50 (step @p1550 :rule nary_cong :premises (@p1549 @p599 @p1548) :args ((or @t925 @t359 (not @t502)))) % 68.34/68.50 (step @p1551 :rule cnf_equiv_pos2 :args (@t503)) % 68.34/68.50 (step @p1552 :rule eq_resolve :premises (@p1551 @p1550)) % 68.34/68.50 (step @p1553 :rule reordering :premises (@p1552) :args ((or @t359 @t501 @t925))) % 68.34/68.50 (step @p1554 :rule chain_m_resolution :premises (@p1553 @p1547 @p621) :args (@t501 @t480 (@list @t359 @t503))) % 68.34/68.50 (step @p1555 :rule bool-double-not-elim :args (@t382)) % 68.34/68.50 (step @p1556 :rule refl :args (@t502)) % 68.34/68.50 (step @p1557 :rule refl :args (@t363)) % 68.34/68.50 (step @p1558 :rule nary_cong :premises (@p1557 @p1556 @p1555) :args ((or @t363 @t502 (not @t483)))) % 68.34/68.50 (assume-push @p1707 @t483) % 68.34/68.50 (assume-push @p1708 @t501) % 68.34/68.50 (assume-push @p1709 @t358) % 68.34/68.50 (step @p1562 :rule evaluate :args ((= true false))) % 68.34/68.50 (step @p1563 :rule false_intro :premises (@p576)) % 68.34/68.50 (step @p1564 :rule refl :args (@t356)) % 68.34/68.50 (step @p1565 :rule symm :premises (@p1708)) % 68.34/68.50 (step @p1566 :rule cong :premises (@p1565 @p1564) :args (@t358)) % 68.34/68.50 (step @p1567 :rule true_intro :premises (@p339)) % 68.34/68.50 (step @p1568 :rule symm :premises (@p1567)) % 68.34/68.50 (step @p1569 :rule trans :premises (@p1568 @p1566 @p1563)) % 68.34/68.50 (step @p1570 false :rule eq_resolve :premises (@p1569 @p1562)) % 68.34/68.50 (step-pop @p1710 :rule scope :premises (@p1570)) % 68.34/68.50 (step-pop @p1711 :rule scope :premises (@p1710)) % 68.34/68.50 (step-pop @p1712 :rule scope :premises (@p1711)) % 68.34/68.50 (step @p1571 :rule process_scope :premises (@p1712) :args (false)) % 68.34/68.50 (assume-push @p1713 @t358) % 68.34/68.50 (assume-push @p1714 @t501) % 68.34/68.50 (assume-push @p1715 @t483) % 68.34/68.50 (step @p1578 :rule and_intro :premises (@p576 @p1714 @p339)) % 68.34/68.50 (step-pop @p1716 :rule scope :premises (@p1578)) % 68.34/68.50 (step-pop @p1717 :rule scope :premises (@p1716)) % 68.34/68.50 (step-pop @p1718 :rule scope :premises (@p1717)) % 68.34/68.50 (step @p1579 :rule process_scope :premises (@p1718) :args (@t926)) % 68.34/68.50 (step @p1583 :rule implies_elim :premises (@p1579)) % 68.34/68.50 (step @p1584 :rule resolution :premises (@p1583 @p1571) :args (true @t926)) % 68.34/68.50 (step @p1585 :rule not_and :premises (@p1584)) % 68.34/68.50 (step @p1586 :rule eq_resolve :premises (@p1585 @p1558)) % 68.34/68.50 (step @p1587 :rule reordering :premises (@p1586) :args ((or @t363 @t382 @t502))) % 68.34/68.50 (step @p1588 false :rule chain_m_resolution :premises (@p1587 @p1554 @p576 @p339) :args (false @t553 (@list @t501 @t382 @t358))) % 68.34/68.50 ) % 68.34/68.50 % SZS output end Proof % 68.34/68.50 % cvc5 exiting %------------------------------------------------------------------------------