%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC304+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 : n020.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 08:58:47 AM UTC 2026 % Result : Theorem 77.34s 77.58s % Output : Proof 77.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC304+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:39:41 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 77.34/77.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 77.34/77.58 --- Run --no-e-matching --full-saturate-quant at 6... % 77.34/77.58 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 77.34/77.58 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 77.34/77.58 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 77.34/77.58 --- Run --trigger-sel=max --full-saturate-quant at 15... % 77.34/77.58 % SZS status Theorem % 77.34/77.58 % SZS output start Proof % 77.34/77.58 ( % 77.34/77.58 (declare-sort $$unsorted 0) % 77.34/77.58 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 77.34/77.58 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 77.34/77.58 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 77.34/77.58 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 77.34/77.58 (declare-const tptp.nil $$unsorted) % 77.34/77.58 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.ssList (-> $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 77.34/77.58 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 77.34/77.58 (define @t1 () (@var "V" $$unsorted)) % 77.34/77.58 (define @t2 () (@var "U" $$unsorted)) % 77.34/77.58 (define @t3 () (= @t2 @t1)) % 77.34/77.58 (define @t4 () (not @t3)) % 77.34/77.58 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 77.34/77.58 (define @t6 () (tptp.ssItem @t1)) % 77.34/77.58 (define @t7 () (@list @t1)) % 77.34/77.58 (define @t8 () (tptp.ssItem @t2)) % 77.34/77.58 (define @t9 () (@list @t2)) % 77.34/77.58 (define @t10 () (@var "X" $$unsorted)) % 77.34/77.58 (define @t11 () (tptp.cons @t1 @t10)) % 77.34/77.58 (define @t12 () (@var "W" $$unsorted)) % 77.34/77.58 (define @t13 () (tptp.ssList @t10)) % 77.34/77.58 (define @t14 () (@list @t10)) % 77.34/77.58 (define @t15 () (tptp.ssList @t12)) % 77.34/77.58 (define @t16 () (@list @t12)) % 77.34/77.58 (define @t17 () (tptp.ssList @t2)) % 77.34/77.58 (define @t18 () (tptp.cons @t1 tptp.nil)) % 77.34/77.58 (define @t19 () (tptp.app @t1 @t12)) % 77.34/77.58 (define @t20 () (tptp.frontsegP @t2 @t1)) % 77.34/77.58 (define @t21 () (tptp.ssList @t1)) % 77.34/77.58 (define @t22 () (tptp.app @t12 @t1)) % 77.34/77.58 (define @t23 () (tptp.rearsegP @t2 @t1)) % 77.34/77.58 (define @t24 () (tptp.segmentP @t2 @t1)) % 77.34/77.58 (define @t25 () (tptp.leq @t12 @t1)) % 77.34/77.58 (define @t26 () (tptp.leq @t1 @t12)) % 77.34/77.58 (define @t27 () (@var "Z" $$unsorted)) % 77.34/77.58 (define @t28 () (@var "Y" $$unsorted)) % 77.34/77.58 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 77.34/77.58 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 77.34/77.58 (define @t31 () (= @t30 @t2)) % 77.34/77.58 (define @t32 () (tptp.ssList @t27)) % 77.34/77.58 (define @t33 () (@list @t27)) % 77.34/77.58 (define @t34 () (tptp.ssList @t28)) % 77.34/77.58 (define @t35 () (@list @t28)) % 77.34/77.58 (define @t36 () (tptp.ssItem @t12)) % 77.34/77.58 (define @t37 () (tptp.lt @t1 @t12)) % 77.34/77.58 (define @t38 () (=> @t31 @t26)) % 77.34/77.58 (define @t39 () (=> @t32 @t38)) % 77.34/77.58 (define @t40 () (forall @t33 @t39)) % 77.34/77.58 (define @t41 () (=> @t34 @t40)) % 77.34/77.58 (define @t42 () (forall @t35 @t41)) % 77.34/77.58 (define @t43 () (=> @t13 @t42)) % 77.34/77.58 (define @t44 () (forall @t14 @t43)) % 77.34/77.58 (define @t45 () (=> @t36 @t44)) % 77.34/77.58 (define @t46 () (forall @t16 @t45)) % 77.34/77.58 (define @t47 () (=> @t6 @t46)) % 77.34/77.58 (define @t48 () (forall @t7 @t47)) % 77.34/77.58 (define @t49 () (tptp.totalorderedP @t2)) % 77.34/77.58 (define @t50 () (= @t49 @t48)) % 77.34/77.58 (define @t51 () (=> @t17 @t50)) % 77.34/77.58 (define @t52 () (forall @t9 @t51)) % 77.34/77.58 (define @t53 () (= @t1 @t12)) % 77.34/77.58 (define @t54 () (tptp.cons @t1 @t2)) % 77.34/77.58 (define @t55 () (tptp.ssList @t54)) % 77.34/77.58 (define @t56 () (forall @t7 (=> @t6 @t55))) % 77.34/77.58 (define @t57 () (=> @t17 @t56)) % 77.34/77.58 (define @t58 () (forall @t9 @t57)) % 77.34/77.58 (define @t59 () (tptp.ssList tptp.nil)) % 77.34/77.58 (define @t60 () (= @t1 @t2)) % 77.34/77.58 (define @t61 () (tptp.cons @t12 @t1)) % 77.34/77.58 (define @t62 () (= tptp.nil @t2)) % 77.34/77.58 (define @t63 () (tptp.hd @t2)) % 77.34/77.58 (define @t64 () (not @t62)) % 77.34/77.58 (define @t65 () (tptp.tl @t2)) % 77.34/77.58 (define @t66 () (tptp.app @t2 @t1)) % 77.34/77.58 (define @t67 () (tptp.ssList @t66)) % 77.34/77.58 (define @t68 () (forall @t7 (=> @t21 @t67))) % 77.34/77.58 (define @t69 () (=> @t17 @t68)) % 77.34/77.58 (define @t70 () (forall @t9 @t69)) % 77.34/77.58 (define @t71 () (tptp.app @t1 @t2)) % 77.34/77.58 (define @t72 () (= (tptp.cons @t12 @t71) (tptp.app @t61 @t2))) % 77.34/77.58 (define @t73 () (forall @t16 (=> @t36 @t72))) % 77.34/77.58 (define @t74 () (=> @t21 @t73)) % 77.34/77.58 (define @t75 () (forall @t7 @t74)) % 77.34/77.58 (define @t76 () (=> @t17 @t75)) % 77.34/77.58 (define @t77 () (forall @t9 @t76)) % 77.34/77.58 (define @t78 () (tptp.app tptp.nil @t2)) % 77.34/77.58 (define @t79 () (=> @t17 (= @t78 @t2))) % 77.34/77.58 (define @t80 () (forall @t9 @t79)) % 77.34/77.58 (define @t81 () (tptp.leq @t1 @t2)) % 77.34/77.58 (define @t82 () (tptp.leq @t2 @t1)) % 77.34/77.58 (define @t83 () (and @t82 @t81)) % 77.34/77.58 (define @t84 () (=> @t83 @t3)) % 77.34/77.58 (define @t85 () (forall @t7 (=> @t6 @t84))) % 77.34/77.58 (define @t86 () (=> @t8 @t85)) % 77.34/77.58 (define @t87 () (forall @t9 @t86)) % 77.34/77.58 (define @t88 () (tptp.geq @t2 @t1)) % 77.34/77.58 (define @t89 () (tptp.lt @t1 @t2)) % 77.34/77.58 (define @t90 () (tptp.lt @t2 @t1)) % 77.34/77.58 (define @t91 () (tptp.lt @t2 @t12)) % 77.34/77.58 (define @t92 () (tptp.gt @t2 @t1)) % 77.34/77.58 (define @t93 () (tptp.memberP @t12 @t2)) % 77.34/77.58 (define @t94 () (tptp.app @t12 @t2)) % 77.34/77.58 (define @t95 () (tptp.cons @t2 tptp.nil)) % 77.34/77.58 (define @t96 () (tptp.hd @t1)) % 77.34/77.58 (define @t97 () (= tptp.nil @t1)) % 77.34/77.58 (define @t98 () (not @t97)) % 77.34/77.58 (define @t99 () (tptp.cons @t2 @t1)) % 77.34/77.58 (define @t100 () (= @t12 @t2)) % 77.34/77.58 (define @t101 () (= (tptp.app @t66 @t12) (tptp.app @t2 @t19))) % 77.34/77.58 (define @t102 () (forall @t16 (=> @t15 @t101))) % 77.34/77.58 (define @t103 () (=> @t21 @t102)) % 77.34/77.58 (define @t104 () (forall @t7 @t103)) % 77.34/77.58 (define @t105 () (=> @t17 @t104)) % 77.34/77.58 (define @t106 () (forall @t9 @t105)) % 77.34/77.58 (define @t107 () (= @t90 (and @t4 @t82))) % 77.34/77.58 (define @t108 () (forall @t7 (=> @t6 @t107))) % 77.34/77.58 (define @t109 () (=> @t8 @t108)) % 77.34/77.58 (define @t110 () (forall @t9 @t109)) % 77.34/77.58 (define @t111 () (not (= tptp.nil @t10))) % 77.34/77.58 (define @t112 () (and @t111 (= tptp.nil @t12))) % 77.34/77.58 (define @t113 () (@var "X9" $$unsorted)) % 77.34/77.58 (define @t114 () (@var "X10" $$unsorted)) % 77.34/77.58 (define @t115 () (not (tptp.lt @t114 @t113))) % 77.34/77.58 (define @t116 () (@var "X13" $$unsorted)) % 77.34/77.58 (define @t117 () (tptp.cons @t114 tptp.nil)) % 77.34/77.58 (define @t118 () (@var "X12" $$unsorted)) % 77.34/77.58 (define @t119 () (tptp.cons @t113 tptp.nil)) % 77.34/77.58 (define @t120 () (@var "X11" $$unsorted)) % 77.34/77.58 (define @t121 () (tptp.app @t120 @t119)) % 77.34/77.58 (define @t122 () (tptp.app (tptp.app @t121 @t118) @t117)) % 77.34/77.58 (define @t123 () (tptp.app @t122 @t116)) % 77.34/77.58 (define @t124 () (not (= @t123 @t2))) % 77.34/77.58 (define @t125 () (or @t124 @t115)) % 77.34/77.58 (define @t126 () (tptp.ssList @t116)) % 77.34/77.58 (define @t127 () (=> @t126 @t125)) % 77.34/77.58 (define @t128 () (@list @t116)) % 77.34/77.58 (define @t129 () (forall @t128 @t127)) % 77.34/77.58 (define @t130 () (tptp.ssList @t118)) % 77.34/77.58 (define @t131 () (=> @t130 @t129)) % 77.34/77.58 (define @t132 () (@list @t118)) % 77.34/77.58 (define @t133 () (forall @t132 @t131)) % 77.34/77.58 (define @t134 () (tptp.ssList @t120)) % 77.34/77.58 (define @t135 () (=> @t134 @t133)) % 77.34/77.58 (define @t136 () (@list @t120)) % 77.34/77.58 (define @t137 () (forall @t136 @t135)) % 77.34/77.58 (define @t138 () (tptp.ssItem @t114)) % 77.34/77.58 (define @t139 () (=> @t138 @t137)) % 77.34/77.58 (define @t140 () (@list @t114)) % 77.34/77.58 (define @t141 () (forall @t140 @t139)) % 77.34/77.58 (define @t142 () (tptp.ssItem @t113)) % 77.34/77.58 (define @t143 () (=> @t142 @t141)) % 77.34/77.58 (define @t144 () (@list @t113)) % 77.34/77.58 (define @t145 () (forall @t144 @t143)) % 77.34/77.58 (define @t146 () (@var "X5" $$unsorted)) % 77.34/77.58 (define @t147 () (@var "X7" $$unsorted)) % 77.34/77.58 (define @t148 () (tptp.leq @t147 @t146)) % 77.34/77.58 (define @t149 () (tptp.cons @t147 tptp.nil)) % 77.34/77.58 (define @t150 () (@var "X8" $$unsorted)) % 77.34/77.58 (define @t151 () (tptp.app @t150 @t149)) % 77.34/77.58 (define @t152 () (tptp.ssList @t150)) % 77.34/77.58 (define @t153 () (and @t152 (= @t151 @t12) @t148)) % 77.34/77.58 (define @t154 () (@list @t150)) % 77.34/77.58 (define @t155 () (exists @t154 @t153)) % 77.34/77.58 (define @t156 () (tptp.ssItem @t147)) % 77.34/77.58 (define @t157 () (and @t156 @t155)) % 77.34/77.58 (define @t158 () (@list @t147)) % 77.34/77.58 (define @t159 () (exists @t158 @t157)) % 77.34/77.58 (define @t160 () (@var "X6" $$unsorted)) % 77.34/77.58 (define @t161 () (tptp.cons @t146 tptp.nil)) % 77.34/77.58 (define @t162 () (tptp.app @t161 @t160)) % 77.34/77.58 (define @t163 () (tptp.ssList @t160)) % 77.34/77.58 (define @t164 () (and @t163 (= @t162 @t27) @t159)) % 77.34/77.58 (define @t165 () (@list @t160)) % 77.34/77.58 (define @t166 () (exists @t165 @t164)) % 77.34/77.58 (define @t167 () (tptp.ssItem @t146)) % 77.34/77.58 (define @t168 () (and @t167 @t166)) % 77.34/77.58 (define @t169 () (@list @t146)) % 77.34/77.58 (define @t170 () (exists @t169 @t168)) % 77.34/77.58 (define @t171 () (@var "X3" $$unsorted)) % 77.34/77.58 (define @t172 () (@var "X1" $$unsorted)) % 77.34/77.58 (define @t173 () (tptp.leq @t172 @t171)) % 77.34/77.58 (define @t174 () (@var "X4" $$unsorted)) % 77.34/77.58 (define @t175 () (tptp.cons @t171 tptp.nil)) % 77.34/77.58 (define @t176 () (tptp.app @t175 @t174)) % 77.34/77.58 (define @t177 () (tptp.ssList @t174)) % 77.34/77.58 (define @t178 () (and @t177 (= @t176 @t12) @t173)) % 77.34/77.58 (define @t179 () (@list @t174)) % 77.34/77.58 (define @t180 () (exists @t179 @t178)) % 77.34/77.58 (define @t181 () (tptp.ssItem @t171)) % 77.34/77.58 (define @t182 () (and @t181 @t180)) % 77.34/77.58 (define @t183 () (@list @t171)) % 77.34/77.58 (define @t184 () (exists @t183 @t182)) % 77.34/77.58 (define @t185 () (tptp.cons @t172 tptp.nil)) % 77.34/77.58 (define @t186 () (@var "X2" $$unsorted)) % 77.34/77.58 (define @t187 () (tptp.app @t186 @t185)) % 77.34/77.58 (define @t188 () (tptp.ssList @t186)) % 77.34/77.58 (define @t189 () (and @t188 (= @t187 @t28) @t184)) % 77.34/77.58 (define @t190 () (@list @t186)) % 77.34/77.58 (define @t191 () (exists @t190 @t189)) % 77.34/77.58 (define @t192 () (tptp.ssItem @t172)) % 77.34/77.58 (define @t193 () (and @t192 @t191)) % 77.34/77.58 (define @t194 () (@list @t172)) % 77.34/77.58 (define @t195 () (exists @t194 @t193)) % 77.34/77.58 (define @t196 () (not (tptp.totalorderedP @t12))) % 77.34/77.58 (define @t197 () (tptp.app @t28 @t12)) % 77.34/77.58 (define @t198 () (tptp.app @t197 @t27)) % 77.34/77.58 (define @t199 () (not (= @t198 @t10))) % 77.34/77.58 (define @t200 () (or @t199 @t196 @t195 @t170)) % 77.34/77.58 (define @t201 () (=> @t32 @t200)) % 77.34/77.58 (define @t202 () (forall @t33 @t201)) % 77.34/77.58 (define @t203 () (=> @t34 @t202)) % 77.34/77.58 (define @t204 () (forall @t35 @t203)) % 77.34/77.58 (define @t205 () (not (= @t2 @t12))) % 77.34/77.58 (define @t206 () (not (= @t1 @t10))) % 77.34/77.58 (define @t207 () (or @t206 @t205 @t204 @t145 @t112)) % 77.34/77.58 (define @t208 () (=> @t13 @t207)) % 77.34/77.58 (define @t209 () (forall @t14 @t208)) % 77.34/77.58 (define @t210 () (=> @t15 @t209)) % 77.34/77.58 (define @t211 () (forall @t16 @t210)) % 77.34/77.58 (define @t212 () (=> @t21 @t211)) % 77.34/77.58 (define @t213 () (forall @t7 @t212)) % 77.34/77.58 (define @t214 () (=> @t17 @t213)) % 77.34/77.58 (define @t215 () (forall @t9 @t214)) % 77.34/77.58 (define @t216 () (not @t215)) % 77.34/77.58 (define @t217 () (= @t2 @t78)) % 77.34/77.58 (define @t218 () (@var "BOUND_VARIABLE_11573" $$unsorted)) % 77.34/77.58 (define @t219 () (@var "BOUND_VARIABLE_11179" $$unsorted)) % 77.34/77.58 (define @t220 () (tptp.app @t161 @t219)) % 77.34/77.58 (define @t221 () (not (= @t220 @t218))) % 77.34/77.58 (define @t222 () (not (tptp.ssList @t219))) % 77.34/77.58 (define @t223 () (@var "BOUND_VARIABLE_11548" $$unsorted)) % 77.34/77.58 (define @t224 () (@var "BOUND_VARIABLE_11542" $$unsorted)) % 77.34/77.58 (define @t225 () (@var "BOUND_VARIABLE_11546" $$unsorted)) % 77.34/77.58 (define @t226 () (@var "BOUND_VARIABLE_11540" $$unsorted)) % 77.34/77.58 (define @t227 () (@var "BOUND_VARIABLE_11544" $$unsorted)) % 77.34/77.58 (define @t228 () (tptp.app (tptp.app (tptp.app (tptp.app @t227 (tptp.cons @t226 tptp.nil)) @t225) (tptp.cons @t224 tptp.nil)) @t223)) % 77.34/77.58 (define @t229 () (@var "BOUND_VARIABLE_11164" $$unsorted)) % 77.34/77.58 (define @t230 () (@var "BOUND_VARIABLE_11166" $$unsorted)) % 77.34/77.58 (define @t231 () (tptp.app @t230 (tptp.cons @t229 tptp.nil))) % 77.34/77.58 (define @t232 () (not (tptp.ssList @t230))) % 77.34/77.58 (define @t233 () (not (tptp.leq @t229 @t146))) % 77.34/77.58 (define @t234 () (not (tptp.ssItem @t229))) % 77.34/77.58 (define @t235 () (not @t167)) % 77.34/77.58 (define @t236 () (@list @t146 @t229 @t230 @t219)) % 77.34/77.58 (define @t237 () (not (forall @t236 (or @t235 @t234 @t233 @t232 (not (= @t231 @t228)) @t222 @t221)))) % 77.34/77.58 (define @t238 () (not (tptp.ssList @t218))) % 77.34/77.58 (define @t239 () (@var "BOUND_VARIABLE_11571" $$unsorted)) % 77.34/77.58 (define @t240 () (@var "BOUND_VARIABLE_11091" $$unsorted)) % 77.34/77.58 (define @t241 () (tptp.app @t240 @t185)) % 77.34/77.58 (define @t242 () (not (= @t241 @t239))) % 77.34/77.58 (define @t243 () (not (tptp.ssList @t240))) % 77.34/77.58 (define @t244 () (@var "BOUND_VARIABLE_11078" $$unsorted)) % 77.34/77.58 (define @t245 () (@var "BOUND_VARIABLE_11076" $$unsorted)) % 77.34/77.58 (define @t246 () (tptp.app (tptp.cons @t245 tptp.nil) @t244)) % 77.34/77.58 (define @t247 () (not (tptp.ssList @t244))) % 77.34/77.58 (define @t248 () (not (tptp.leq @t172 @t245))) % 77.34/77.58 (define @t249 () (not (tptp.ssItem @t245))) % 77.34/77.58 (define @t250 () (not @t192)) % 77.34/77.58 (define @t251 () (@list @t172 @t245 @t244 @t240)) % 77.34/77.58 (define @t252 () (not (forall @t251 (or @t250 @t249 @t248 @t247 (not (= @t246 @t228)) @t243 @t242)))) % 77.34/77.58 (define @t253 () (not (tptp.ssList @t239))) % 77.34/77.58 (define @t254 () (tptp.app (tptp.app @t239 @t228) @t218)) % 77.34/77.58 (define @t255 () (not (= tptp.nil @t254))) % 77.34/77.58 (define @t256 () (and @t255 (= tptp.nil @t228))) % 77.34/77.58 (define @t257 () (not (tptp.ssList @t254))) % 77.34/77.58 (define @t258 () (not (tptp.ssList @t223))) % 77.34/77.58 (define @t259 () (not (tptp.ssList @t225))) % 77.34/77.58 (define @t260 () (not (tptp.ssList @t227))) % 77.34/77.58 (define @t261 () (not (tptp.lt @t224 @t226))) % 77.34/77.58 (define @t262 () (not (tptp.ssItem @t224))) % 77.34/77.58 (define @t263 () (not (tptp.ssItem @t226))) % 77.34/77.58 (define @t264 () (not (tptp.totalorderedP @t228))) % 77.34/77.58 (define @t265 () (not (tptp.ssList @t228))) % 77.34/77.58 (define @t266 () (or @t265 @t264 @t263 @t262 @t261 @t260 @t259 @t258 @t257 @t256 @t253 @t252 @t238 @t237)) % 77.34/77.58 (define @t267 () (@list @t226 @t224 @t227 @t225 @t223 @t239 @t218)) % 77.34/77.58 (define @t268 () (forall @t267 @t266)) % 77.34/77.58 (define @t269 () (@quantifiers_skolemize @t268 3)) % 77.34/77.58 (define @t270 () (not (= @t228 @t231))) % 77.34/77.58 (define @t271 () (or @t235 @t234 @t233 @t232 @t270 @t222 @t221)) % 77.34/77.58 (define @t272 () (forall @t236 @t271)) % 77.34/77.58 (define @t273 () (not @t272)) % 77.34/77.58 (define @t274 () (not (= @t228 @t246))) % 77.34/77.58 (define @t275 () (or @t250 @t249 @t248 @t247 @t274 @t243 @t242)) % 77.34/77.58 (define @t276 () (forall @t251 @t275)) % 77.34/77.58 (define @t277 () (not @t276)) % 77.34/77.58 (define @t278 () (and @t255 (= @t228 tptp.nil))) % 77.34/77.58 (define @t279 () (not (= @t228 @t228))) % 77.34/77.58 (define @t280 () (or @t265 @t264 @t263 @t262 @t261 @t260 @t259 @t258 @t279 @t257 @t278 @t253 @t277 @t238 @t273)) % 77.34/77.58 (define @t281 () (not (= @t2 @t231))) % 77.34/77.58 (define @t282 () (not (forall @t236 (or @t235 @t234 @t233 @t232 @t281 @t222 @t221)))) % 77.34/77.58 (define @t283 () (not (= @t2 @t246))) % 77.34/77.58 (define @t284 () (not (forall @t251 (or @t250 @t249 @t248 @t247 @t283 @t243 @t242)))) % 77.34/77.58 (define @t285 () (= @t2 tptp.nil)) % 77.34/77.58 (define @t286 () (tptp.app (tptp.app @t239 @t2) @t218)) % 77.34/77.58 (define @t287 () (and (not (= tptp.nil @t286)) @t285)) % 77.34/77.58 (define @t288 () (not (tptp.ssList @t286))) % 77.34/77.58 (define @t289 () (not (= @t2 @t228))) % 77.34/77.58 (define @t290 () (not @t49)) % 77.34/77.58 (define @t291 () (not @t17)) % 77.34/77.58 (define @t292 () (or @t289 @t291 @t290 @t263 @t262 @t261 @t260 @t259 @t258 @t289 @t288 @t287 @t253 @t284 @t238 @t282)) % 77.34/77.58 (define @t293 () (or @t291 @t290 @t263 @t262 @t261 @t260 @t259 @t258 @t289 @t288 @t287 @t253 @t284 @t238 @t282)) % 77.34/77.58 (define @t294 () (forall @t9 @t293)) % 77.34/77.58 (define @t295 () (forall @t267 @t294)) % 77.34/77.58 (define @t296 () (forall (@list @t226 @t224 @t227 @t225 @t223 @t239 @t218 @t2) @t293)) % 77.34/77.58 (define @t297 () (@list @t2 @t226 @t224 @t227 @t225 @t223 @t239 @t218)) % 77.34/77.58 (define @t298 () (or @t288 @t287 @t253 @t284 @t238 @t282)) % 77.34/77.58 (define @t299 () (or @t263 @t262 @t261 @t260 @t259 @t258 @t289)) % 77.34/77.58 (define @t300 () (or @t291 @t299 @t290 @t298)) % 77.34/77.58 (define @t301 () (forall @t297 @t300)) % 77.34/77.58 (define @t302 () (forall @t267 @t300)) % 77.34/77.58 (define @t303 () (forall (@list @t239 @t218) @t298)) % 77.34/77.58 (define @t304 () (@var "BOUND_VARIABLE_11493" $$unsorted)) % 77.34/77.58 (define @t305 () (@var "BOUND_VARIABLE_11491" $$unsorted)) % 77.34/77.58 (define @t306 () (@list @t305 @t304)) % 77.34/77.58 (define @t307 () (forall (@list @t226 @t224 @t227 @t225 @t223) @t299)) % 77.34/77.58 (define @t308 () (@var "BOUND_VARIABLE_11334" $$unsorted)) % 77.34/77.58 (define @t309 () (@var "BOUND_VARIABLE_11332" $$unsorted)) % 77.34/77.58 (define @t310 () (@var "BOUND_VARIABLE_11330" $$unsorted)) % 77.34/77.58 (define @t311 () (@var "BOUND_VARIABLE_11328" $$unsorted)) % 77.34/77.58 (define @t312 () (or @t291 @t307 @t290 @t303)) % 77.34/77.58 (define @t313 () (not (forall @t236 (or @t235 @t234 @t233 @t232 @t281 @t222 (not (= @t220 @t304)))))) % 77.34/77.58 (define @t314 () (not (tptp.ssList @t304))) % 77.34/77.58 (define @t315 () (not (forall @t251 (or @t250 @t249 @t248 @t247 @t283 @t243 (not (= @t241 @t305)))))) % 77.34/77.58 (define @t316 () (not (tptp.ssList @t305))) % 77.34/77.58 (define @t317 () (tptp.app (tptp.app @t305 @t2) @t304)) % 77.34/77.58 (define @t318 () (and (not (= tptp.nil @t317)) @t285)) % 77.34/77.58 (define @t319 () (not (tptp.ssList @t317))) % 77.34/77.58 (define @t320 () (or @t319 @t318 @t316 @t315 @t314 @t313)) % 77.34/77.58 (define @t321 () (@list @t305 @t304)) % 77.34/77.58 (define @t322 () (forall @t321 @t320)) % 77.34/77.58 (define @t323 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t310 @t119) @t309) (tptp.cons @t311 tptp.nil)) @t308)))) % 77.34/77.58 (define @t324 () (not (tptp.ssList @t308))) % 77.34/77.58 (define @t325 () (not (tptp.ssList @t309))) % 77.34/77.58 (define @t326 () (not (tptp.ssList @t310))) % 77.34/77.58 (define @t327 () (not (tptp.lt @t311 @t113))) % 77.34/77.58 (define @t328 () (not (tptp.ssItem @t311))) % 77.34/77.58 (define @t329 () (not @t142)) % 77.34/77.58 (define @t330 () (or @t329 @t328 @t327 @t326 @t325 @t324 @t323)) % 77.34/77.58 (define @t331 () (@list @t113 @t311 @t310 @t309 @t308)) % 77.34/77.58 (define @t332 () (forall @t331 @t330)) % 77.34/77.58 (define @t333 () (or @t291 @t332 @t290 @t322)) % 77.34/77.58 (define @t334 () (or @t332 @t291 @t290 @t322)) % 77.34/77.58 (define @t335 () (not (= @t317 @t317))) % 77.34/77.58 (define @t336 () (not (= @t317 tptp.nil))) % 77.34/77.58 (define @t337 () (and @t336 @t285)) % 77.34/77.58 (define @t338 () (or @t319 @t337 @t316 @t315 @t314 @t335 @t313)) % 77.34/77.58 (define @t339 () (not (= @t1 @t317))) % 77.34/77.58 (define @t340 () (not (= @t1 tptp.nil))) % 77.34/77.58 (define @t341 () (and @t340 @t285)) % 77.34/77.58 (define @t342 () (not @t21)) % 77.34/77.58 (define @t343 () (or @t339 @t342 @t341 @t316 @t315 @t314 @t339 @t313)) % 77.34/77.58 (define @t344 () (or @t342 @t341 @t316 @t315 @t314 @t339 @t313)) % 77.34/77.58 (define @t345 () (forall @t7 @t344)) % 77.34/77.58 (define @t346 () (forall @t321 @t345)) % 77.34/77.58 (define @t347 () (forall (@list @t305 @t304 @t1) @t344)) % 77.34/77.58 (define @t348 () (@list @t1 @t305 @t304)) % 77.34/77.58 (define @t349 () (or @t316 @t315 @t314 @t339 @t313)) % 77.34/77.58 (define @t350 () (or @t342 @t341 @t349)) % 77.34/77.58 (define @t351 () (forall @t348 @t350)) % 77.34/77.58 (define @t352 () (forall @t321 @t350)) % 77.34/77.58 (define @t353 () (forall @t321 @t349)) % 77.34/77.58 (define @t354 () (@var "BOUND_VARIABLE_11429" $$unsorted)) % 77.34/77.58 (define @t355 () (@var "BOUND_VARIABLE_11427" $$unsorted)) % 77.34/77.58 (define @t356 () (@list @t355 @t354)) % 77.34/77.58 (define @t357 () (or @t342 @t341 @t353)) % 77.34/77.58 (define @t358 () (not (= @t220 @t354))) % 77.34/77.58 (define @t359 () (not (forall @t236 (or @t235 @t234 @t233 @t232 @t281 @t222 @t358)))) % 77.34/77.58 (define @t360 () (not (= @t1 (tptp.app (tptp.app @t355 @t2) @t354)))) % 77.34/77.58 (define @t361 () (not (tptp.ssList @t354))) % 77.34/77.58 (define @t362 () (not (= @t241 @t355))) % 77.34/77.58 (define @t363 () (not (forall @t251 (or @t250 @t249 @t248 @t247 @t283 @t243 @t362)))) % 77.34/77.58 (define @t364 () (not (tptp.ssList @t355))) % 77.34/77.58 (define @t365 () (or @t364 @t363 @t361 @t360 @t359)) % 77.34/77.58 (define @t366 () (@list @t355 @t354)) % 77.34/77.58 (define @t367 () (forall @t366 @t365)) % 77.34/77.58 (define @t368 () (or @t342 @t341 @t367)) % 77.34/77.58 (define @t369 () (forall @t7 @t368)) % 77.34/77.58 (define @t370 () (or @t332 @t291 @t290 @t369)) % 77.34/77.58 (define @t371 () (or @t332 @t291 @t290 @t368)) % 77.34/77.58 (define @t372 () (or @t342 @t332 @t291 @t290 @t341 @t367)) % 77.34/77.58 (define @t373 () (or @t332 @t342 @t291 @t290 @t341 @t367)) % 77.34/77.58 (define @t374 () (or @t291 @t290 @t341 @t367)) % 77.34/77.58 (define @t375 () (or @t291 @t290 @t341 @t365)) % 77.34/77.58 (define @t376 () (or @t291 @t290 @t341 @t364 @t363 @t361 @t360 @t359)) % 77.34/77.58 (define @t377 () (not (= @t2 @t2))) % 77.34/77.58 (define @t378 () (or @t291 @t377 @t290 @t341 @t364 @t363 @t361 @t360 @t359)) % 77.34/77.58 (define @t379 () (not (= @t12 @t231))) % 77.34/77.58 (define @t380 () (not (forall @t236 (or @t235 @t234 @t233 @t232 @t379 @t222 @t358)))) % 77.34/77.58 (define @t381 () (not (= @t1 (tptp.app (tptp.app @t355 @t12) @t354)))) % 77.34/77.58 (define @t382 () (not (= @t12 @t246))) % 77.34/77.58 (define @t383 () (not (forall @t251 (or @t250 @t249 @t248 @t247 @t382 @t243 @t362)))) % 77.34/77.58 (define @t384 () (= @t12 tptp.nil)) % 77.34/77.58 (define @t385 () (and @t340 @t384)) % 77.34/77.58 (define @t386 () (not @t15)) % 77.34/77.58 (define @t387 () (or @t205 @t386 @t205 @t196 @t385 @t364 @t383 @t361 @t381 @t380)) % 77.34/77.58 (define @t388 () (or @t386 @t205 @t196 @t385 @t364 @t383 @t361 @t381 @t380)) % 77.34/77.58 (define @t389 () (forall @t16 @t388)) % 77.34/77.58 (define @t390 () (forall @t366 @t389)) % 77.34/77.58 (define @t391 () (forall (@list @t355 @t354 @t12) @t388)) % 77.34/77.58 (define @t392 () (@list @t12 @t355 @t354)) % 77.34/77.58 (define @t393 () (or @t364 @t383 @t361 @t381 @t380)) % 77.34/77.58 (define @t394 () (or @t386 @t205 @t196 @t385 @t393)) % 77.34/77.58 (define @t395 () (forall @t392 @t394)) % 77.34/77.58 (define @t396 () (forall @t366 @t394)) % 77.34/77.58 (define @t397 () (forall @t366 @t393)) % 77.34/77.58 (define @t398 () (@var "BOUND_VARIABLE_11374" $$unsorted)) % 77.34/77.58 (define @t399 () (@var "BOUND_VARIABLE_11372" $$unsorted)) % 77.34/77.58 (define @t400 () (@list @t399 @t398)) % 77.34/77.58 (define @t401 () (or @t386 @t205 @t196 @t385 @t397)) % 77.34/77.58 (define @t402 () (not (forall @t236 (or @t235 @t234 @t233 @t232 @t379 @t222 (not (= @t220 @t398)))))) % 77.34/77.58 (define @t403 () (tptp.app (tptp.app @t399 @t12) @t398)) % 77.34/77.58 (define @t404 () (not (= @t1 @t403))) % 77.34/77.58 (define @t405 () (not (tptp.ssList @t398))) % 77.34/77.58 (define @t406 () (not (forall @t251 (or @t250 @t249 @t248 @t247 @t382 @t243 (not (= @t241 @t399)))))) % 77.34/77.58 (define @t407 () (not (tptp.ssList @t399))) % 77.34/77.58 (define @t408 () (or @t407 @t406 @t405 @t404 @t402)) % 77.34/77.58 (define @t409 () (@list @t399 @t398)) % 77.34/77.58 (define @t410 () (forall @t409 @t408)) % 77.34/77.58 (define @t411 () (or @t386 @t205 @t196 @t385 @t410)) % 77.34/77.58 (define @t412 () (forall @t16 @t411)) % 77.34/77.58 (define @t413 () (or @t332 @t342 @t412)) % 77.34/77.58 (define @t414 () (or @t332 @t342 @t411)) % 77.34/77.58 (define @t415 () (or @t386 @t205 @t332 @t196 @t342 @t385 @t410)) % 77.34/77.58 (define @t416 () (or @t205 @t332 @t196 @t342 @t385 @t410)) % 77.34/77.58 (define @t417 () (or @t342 @t385 @t410)) % 77.34/77.58 (define @t418 () (or @t342 @t385 @t408)) % 77.34/77.58 (define @t419 () (or @t342 @t385 @t407 @t406 @t405 @t404 @t402)) % 77.34/77.58 (define @t420 () (not (= @t1 @t1))) % 77.34/77.58 (define @t421 () (or @t342 @t420 @t385 @t407 @t406 @t405 @t404 @t402)) % 77.34/77.58 (define @t422 () (not (= @t10 @t403))) % 77.34/77.58 (define @t423 () (and (not (= @t10 tptp.nil)) @t384)) % 77.34/77.58 (define @t424 () (not @t13)) % 77.34/77.58 (define @t425 () (or @t206 @t424 @t206 @t423 @t407 @t406 @t405 @t422 @t402)) % 77.34/77.58 (define @t426 () (or @t424 @t206 @t423 @t407 @t406 @t405 @t422 @t402)) % 77.34/77.58 (define @t427 () (forall @t14 @t426)) % 77.34/77.58 (define @t428 () (forall @t409 @t427)) % 77.34/77.58 (define @t429 () (forall (@list @t399 @t398 @t10) @t426)) % 77.34/77.58 (define @t430 () (@list @t10 @t399 @t398)) % 77.34/77.58 (define @t431 () (not (= @t399 @t241))) % 77.34/77.58 (define @t432 () (or @t250 @t249 @t248 @t247 @t382 @t243 @t431)) % 77.34/77.58 (define @t433 () (forall @t251 @t432)) % 77.34/77.58 (define @t434 () (not @t433)) % 77.34/77.58 (define @t435 () (or @t424 @t206 @t423 @t407 @t434 @t405 @t422 @t402)) % 77.34/77.58 (define @t436 () (or @t407 @t434 @t405 @t422 @t402)) % 77.34/77.58 (define @t437 () (or @t424 @t206 @t423 @t436)) % 77.34/77.58 (define @t438 () (forall @t430 @t437)) % 77.34/77.58 (define @t439 () (forall @t409 @t437)) % 77.34/77.58 (define @t440 () (forall @t409 @t436)) % 77.34/77.58 (define @t441 () (@var "BOUND_VARIABLE_11208" $$unsorted)) % 77.34/77.58 (define @t442 () (or @t424 @t206 @t423 @t440)) % 77.34/77.58 (define @t443 () (not (= @t10 (tptp.app @t197 @t441)))) % 77.34/77.58 (define @t444 () (not (tptp.ssList @t441))) % 77.34/77.58 (define @t445 () (not (= @t28 @t241))) % 77.34/77.58 (define @t446 () (or @t250 @t249 @t248 @t247 @t382 @t243 @t445)) % 77.34/77.58 (define @t447 () (not (forall @t251 @t446))) % 77.34/77.58 (define @t448 () (not @t34)) % 77.34/77.58 (define @t449 () (@list @t28 @t441)) % 77.34/77.58 (define @t450 () (forall @t449 (or @t448 @t447 @t444 @t443 (not (forall @t236 (or @t235 @t234 @t233 @t232 @t379 @t222 (not (= @t220 @t441)))))))) % 77.34/77.58 (define @t451 () (or @t424 @t206 @t423 @t450)) % 77.34/77.58 (define @t452 () (forall @t14 @t451)) % 77.34/77.58 (define @t453 () (or @t205 @t332 @t196 @t452)) % 77.34/77.58 (define @t454 () (or @t205 @t332 @t196 @t451)) % 77.34/77.58 (define @t455 () (or @t424 @t206 @t205 @t332 @t423 @t196 @t450)) % 77.34/77.58 (define @t456 () (or @t206 @t205 @t332 @t423 @t196 @t450)) % 77.34/77.58 (define @t457 () (or @t328 @t327 @t326 @t325 @t324 @t323)) % 77.34/77.58 (define @t458 () (or @t329 @t457)) % 77.34/77.58 (define @t459 () (forall @t331 @t458)) % 77.34/77.58 (define @t460 () (@list @t311 @t310 @t309 @t308)) % 77.34/77.58 (define @t461 () (forall @t460 @t458)) % 77.34/77.58 (define @t462 () (forall @t460 @t457)) % 77.34/77.58 (define @t463 () (@var "BOUND_VARIABLE_11303" $$unsorted)) % 77.34/77.58 (define @t464 () (@var "BOUND_VARIABLE_11301" $$unsorted)) % 77.34/77.58 (define @t465 () (@var "BOUND_VARIABLE_11299" $$unsorted)) % 77.34/77.58 (define @t466 () (or @t329 @t462)) % 77.34/77.58 (define @t467 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t465 @t119) @t464) @t117) @t463)))) % 77.34/77.58 (define @t468 () (not (tptp.ssList @t463))) % 77.34/77.58 (define @t469 () (not (tptp.ssList @t464))) % 77.34/77.58 (define @t470 () (not (tptp.ssList @t465))) % 77.34/77.58 (define @t471 () (not @t138)) % 77.34/77.58 (define @t472 () (or @t471 @t115 @t470 @t469 @t468 @t467)) % 77.34/77.58 (define @t473 () (@list @t114 @t465 @t464 @t463)) % 77.34/77.58 (define @t474 () (forall @t473 @t472)) % 77.34/77.58 (define @t475 () (or @t470 @t469 @t468 @t467)) % 77.34/77.58 (define @t476 () (or @t471 @t115 @t475)) % 77.34/77.58 (define @t477 () (forall @t473 @t476)) % 77.34/77.58 (define @t478 () (@list @t465 @t464 @t463)) % 77.34/77.58 (define @t479 () (forall @t478 @t476)) % 77.34/77.58 (define @t480 () (forall @t478 @t475)) % 77.34/77.58 (define @t481 () (@var "BOUND_VARIABLE_11276" $$unsorted)) % 77.34/77.58 (define @t482 () (@var "BOUND_VARIABLE_11274" $$unsorted)) % 77.34/77.58 (define @t483 () (or @t471 @t115 @t480)) % 77.34/77.58 (define @t484 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t121 @t482) @t117) @t481)))) % 77.34/77.58 (define @t485 () (not (tptp.ssList @t481))) % 77.34/77.58 (define @t486 () (not (tptp.ssList @t482))) % 77.34/77.58 (define @t487 () (not @t134)) % 77.34/77.58 (define @t488 () (or @t487 @t486 @t485 @t484)) % 77.34/77.58 (define @t489 () (@list @t120 @t482 @t481)) % 77.34/77.58 (define @t490 () (forall @t489 @t488)) % 77.34/77.58 (define @t491 () (or @t471 @t115 @t490)) % 77.34/77.58 (define @t492 () (or @t115 @t490)) % 77.34/77.58 (define @t493 () (or @t486 @t485 @t484)) % 77.34/77.58 (define @t494 () (or @t487 @t493)) % 77.34/77.58 (define @t495 () (forall @t489 @t494)) % 77.34/77.58 (define @t496 () (@list @t482 @t481)) % 77.34/77.58 (define @t497 () (forall @t496 @t494)) % 77.34/77.58 (define @t498 () (forall @t496 @t493)) % 77.34/77.58 (define @t499 () (@var "BOUND_VARIABLE_11252" $$unsorted)) % 77.34/77.58 (define @t500 () (or @t487 @t498)) % 77.34/77.58 (define @t501 () (not (= @t2 (tptp.app @t122 @t499)))) % 77.34/77.58 (define @t502 () (not (tptp.ssList @t499))) % 77.34/77.58 (define @t503 () (not @t130)) % 77.34/77.58 (define @t504 () (or @t503 @t502 @t501)) % 77.34/77.58 (define @t505 () (@list @t118 @t499)) % 77.34/77.58 (define @t506 () (forall @t505 @t504)) % 77.34/77.58 (define @t507 () (or @t487 @t506)) % 77.34/77.58 (define @t508 () (forall @t136 @t507)) % 77.34/77.58 (define @t509 () (or @t115 @t508)) % 77.34/77.58 (define @t510 () (or @t115 @t507)) % 77.34/77.58 (define @t511 () (or @t487 @t115 @t506)) % 77.34/77.58 (define @t512 () (or @t115 @t506)) % 77.34/77.58 (define @t513 () (or @t502 @t501)) % 77.34/77.58 (define @t514 () (or @t503 @t513)) % 77.34/77.58 (define @t515 () (forall @t505 @t514)) % 77.34/77.58 (define @t516 () (@list @t499)) % 77.34/77.58 (define @t517 () (forall @t516 @t514)) % 77.34/77.58 (define @t518 () (forall @t516 @t513)) % 77.34/77.58 (define @t519 () (or @t503 @t518)) % 77.34/77.58 (define @t520 () (not (= @t2 @t123))) % 77.34/77.58 (define @t521 () (not @t126)) % 77.34/77.58 (define @t522 () (or @t521 @t520)) % 77.34/77.58 (define @t523 () (forall @t128 @t522)) % 77.34/77.58 (define @t524 () (or @t503 @t523)) % 77.34/77.58 (define @t525 () (forall @t132 @t524)) % 77.34/77.58 (define @t526 () (or @t115 @t525)) % 77.34/77.58 (define @t527 () (or @t115 @t524)) % 77.34/77.58 (define @t528 () (or @t503 @t115 @t523)) % 77.34/77.58 (define @t529 () (or @t115 @t523)) % 77.34/77.58 (define @t530 () (or @t115 @t522)) % 77.34/77.58 (define @t531 () (or @t521 @t520 @t115)) % 77.34/77.58 (define @t532 () (or @t520 @t115)) % 77.34/77.58 (define @t533 () (not (= @t441 @t220))) % 77.34/77.58 (define @t534 () (or @t235 @t234 @t233 @t232 @t379 @t222 @t533)) % 77.34/77.58 (define @t535 () (forall @t236 @t534)) % 77.34/77.58 (define @t536 () (not @t535)) % 77.34/77.58 (define @t537 () (or @t448 @t447 @t444 @t443 @t536)) % 77.34/77.58 (define @t538 () (or @t444 @t443 @t536)) % 77.34/77.58 (define @t539 () (or @t448 @t447 @t538)) % 77.34/77.58 (define @t540 () (forall @t449 @t539)) % 77.34/77.58 (define @t541 () (@list @t441)) % 77.34/77.58 (define @t542 () (forall @t541 @t539)) % 77.34/77.58 (define @t543 () (forall @t541 @t538)) % 77.34/77.58 (define @t544 () (@list @t27)) % 77.34/77.58 (define @t545 () (or @t448 @t447 @t543)) % 77.34/77.58 (define @t546 () (not (= @t27 @t220))) % 77.34/77.58 (define @t547 () (or @t235 @t234 @t233 @t232 @t379 @t222 @t546)) % 77.34/77.58 (define @t548 () (not (forall @t236 @t547))) % 77.34/77.58 (define @t549 () (not (= @t10 @t198))) % 77.34/77.58 (define @t550 () (not @t32)) % 77.34/77.58 (define @t551 () (or @t550 @t549 @t548)) % 77.34/77.58 (define @t552 () (forall @t33 @t551)) % 77.34/77.58 (define @t553 () (or @t448 @t447 @t552)) % 77.34/77.58 (define @t554 () (forall @t35 @t553)) % 77.34/77.58 (define @t555 () (or @t196 @t554)) % 77.34/77.58 (define @t556 () (or @t196 @t553)) % 77.34/77.58 (define @t557 () (or @t448 @t196 @t447 @t552)) % 77.34/77.58 (define @t558 () (or @t196 @t447 @t552)) % 77.34/77.58 (define @t559 () (or @t196 @t447 @t551)) % 77.34/77.58 (define @t560 () (or @t550 @t549 @t196 @t447 @t548)) % 77.34/77.58 (define @t561 () (or @t549 @t196 @t447 @t548)) % 77.34/77.58 (define @t562 () (or @t222 @t546)) % 77.34/77.58 (define @t563 () (or @t234 @t233 @t232 @t379)) % 77.34/77.58 (define @t564 () (or @t235 @t563 @t562)) % 77.34/77.58 (define @t565 () (forall @t236 @t564)) % 77.34/77.58 (define @t566 () (forall (@list @t229 @t230 @t219) @t564)) % 77.34/77.58 (define @t567 () (forall (@list @t219) @t562)) % 77.34/77.58 (define @t568 () (forall (@list @t229 @t230) @t563)) % 77.34/77.58 (define @t569 () (@var "BOUND_VARIABLE_11129" $$unsorted)) % 77.34/77.58 (define @t570 () (or @t235 @t568 @t567)) % 77.34/77.58 (define @t571 () (= @t27 @t162)) % 77.34/77.58 (define @t572 () (not @t571)) % 77.34/77.58 (define @t573 () (not @t163)) % 77.34/77.58 (define @t574 () (or @t573 @t572)) % 77.34/77.58 (define @t575 () (forall @t165 @t574)) % 77.34/77.58 (define @t576 () (not (= @t12 (tptp.app @t569 @t149)))) % 77.34/77.58 (define @t577 () (not (tptp.ssList @t569))) % 77.34/77.58 (define @t578 () (not @t148)) % 77.34/77.58 (define @t579 () (not @t156)) % 77.34/77.58 (define @t580 () (or @t579 @t578 @t577 @t576)) % 77.34/77.58 (define @t581 () (@list @t147 @t569)) % 77.34/77.58 (define @t582 () (forall @t581 @t580)) % 77.34/77.58 (define @t583 () (or @t235 @t582 @t575)) % 77.34/77.58 (define @t584 () (or @t582 @t575)) % 77.34/77.58 (define @t585 () (not @t584)) % 77.34/77.58 (define @t586 () (and @t167 @t585)) % 77.34/77.58 (define @t587 () (forall @t169 (not @t586))) % 77.34/77.58 (define @t588 () (not @t587)) % 77.34/77.58 (define @t589 () (or @t582 @t574)) % 77.34/77.58 (define @t590 () (or @t573 @t572 @t582)) % 77.34/77.58 (define @t591 () (not @t582)) % 77.34/77.58 (define @t592 () (not @t591)) % 77.34/77.58 (define @t593 () (or @t573 @t572 @t592)) % 77.34/77.58 (define @t594 () (and @t163 @t571 @t591)) % 77.34/77.58 (define @t595 () (forall @t165 (not @t594))) % 77.34/77.58 (define @t596 () (not @t595)) % 77.34/77.58 (define @t597 () (or @t577 @t576)) % 77.34/77.58 (define @t598 () (or @t579 @t578 @t597)) % 77.34/77.58 (define @t599 () (forall @t581 @t598)) % 77.34/77.58 (define @t600 () (@list @t569)) % 77.34/77.58 (define @t601 () (forall @t600 @t598)) % 77.34/77.58 (define @t602 () (forall @t600 @t597)) % 77.34/77.58 (define @t603 () (or @t579 @t578 @t602)) % 77.34/77.58 (define @t604 () (= @t12 @t151)) % 77.34/77.58 (define @t605 () (not @t604)) % 77.34/77.58 (define @t606 () (not @t152)) % 77.34/77.58 (define @t607 () (or @t606 @t605)) % 77.34/77.58 (define @t608 () (forall @t154 @t607)) % 77.34/77.58 (define @t609 () (or @t579 @t578 @t608)) % 77.34/77.58 (define @t610 () (or @t578 @t608)) % 77.34/77.58 (define @t611 () (not @t610)) % 77.34/77.58 (define @t612 () (and @t156 @t611)) % 77.34/77.58 (define @t613 () (forall @t158 (not @t612))) % 77.34/77.58 (define @t614 () (not @t613)) % 77.34/77.58 (define @t615 () (or @t578 @t607)) % 77.34/77.58 (define @t616 () (or @t606 @t605 @t578)) % 77.34/77.58 (define @t617 () (and @t152 @t604 @t148)) % 77.34/77.58 (define @t618 () (forall @t154 (not @t617))) % 77.34/77.58 (define @t619 () (not @t618)) % 77.34/77.58 (define @t620 () (or @t243 @t445)) % 77.34/77.58 (define @t621 () (or @t249 @t248 @t247 @t382)) % 77.34/77.58 (define @t622 () (or @t250 @t621 @t620)) % 77.34/77.58 (define @t623 () (forall @t251 @t622)) % 77.34/77.58 (define @t624 () (forall (@list @t245 @t244 @t240) @t622)) % 77.34/77.58 (define @t625 () (forall (@list @t240) @t620)) % 77.34/77.58 (define @t626 () (forall (@list @t245 @t244) @t621)) % 77.34/77.58 (define @t627 () (@var "BOUND_VARIABLE_11041" $$unsorted)) % 77.34/77.58 (define @t628 () (or @t250 @t626 @t625)) % 77.34/77.58 (define @t629 () (= @t28 @t187)) % 77.34/77.58 (define @t630 () (not @t629)) % 77.34/77.58 (define @t631 () (not @t188)) % 77.34/77.58 (define @t632 () (or @t631 @t630)) % 77.34/77.58 (define @t633 () (forall @t190 @t632)) % 77.34/77.58 (define @t634 () (not (= @t12 (tptp.app @t175 @t627)))) % 77.34/77.58 (define @t635 () (not (tptp.ssList @t627))) % 77.34/77.58 (define @t636 () (not @t173)) % 77.34/77.58 (define @t637 () (not @t181)) % 77.34/77.58 (define @t638 () (or @t637 @t636 @t635 @t634)) % 77.34/77.58 (define @t639 () (@list @t171 @t627)) % 77.34/77.58 (define @t640 () (forall @t639 @t638)) % 77.34/77.58 (define @t641 () (or @t250 @t640 @t633)) % 77.34/77.58 (define @t642 () (or @t640 @t633)) % 77.34/77.58 (define @t643 () (not @t642)) % 77.34/77.58 (define @t644 () (and @t192 @t643)) % 77.34/77.58 (define @t645 () (forall @t194 (not @t644))) % 77.34/77.58 (define @t646 () (not @t645)) % 77.34/77.58 (define @t647 () (or @t640 @t632)) % 77.34/77.58 (define @t648 () (or @t631 @t630 @t640)) % 77.34/77.58 (define @t649 () (not @t640)) % 77.34/77.58 (define @t650 () (not @t649)) % 77.34/77.58 (define @t651 () (or @t631 @t630 @t650)) % 77.34/77.58 (define @t652 () (and @t188 @t629 @t649)) % 77.34/77.58 (define @t653 () (forall @t190 (not @t652))) % 77.34/77.58 (define @t654 () (not @t653)) % 77.34/77.58 (define @t655 () (or @t635 @t634)) % 77.34/77.58 (define @t656 () (or @t637 @t636 @t655)) % 77.34/77.58 (define @t657 () (forall @t639 @t656)) % 77.34/77.58 (define @t658 () (@list @t627)) % 77.34/77.58 (define @t659 () (forall @t658 @t656)) % 77.34/77.58 (define @t660 () (forall @t658 @t655)) % 77.34/77.58 (define @t661 () (or @t637 @t636 @t660)) % 77.34/77.58 (define @t662 () (= @t12 @t176)) % 77.34/77.58 (define @t663 () (not @t662)) % 77.34/77.58 (define @t664 () (not @t177)) % 77.34/77.58 (define @t665 () (or @t664 @t663)) % 77.34/77.58 (define @t666 () (forall @t179 @t665)) % 77.34/77.58 (define @t667 () (or @t637 @t636 @t666)) % 77.34/77.58 (define @t668 () (or @t636 @t666)) % 77.34/77.58 (define @t669 () (not @t668)) % 77.34/77.58 (define @t670 () (and @t181 @t669)) % 77.34/77.58 (define @t671 () (forall @t183 (not @t670))) % 77.34/77.58 (define @t672 () (not @t671)) % 77.34/77.58 (define @t673 () (or @t636 @t665)) % 77.34/77.58 (define @t674 () (or @t664 @t663 @t636)) % 77.34/77.58 (define @t675 () (and @t177 @t662 @t173)) % 77.34/77.58 (define @t676 () (forall @t179 (not @t675))) % 77.34/77.58 (define @t677 () (not @t676)) % 77.34/77.58 (define @t678 () (tptp.ssList @t269)) % 77.34/77.58 (define @t679 () (@quantifiers_skolemize @t268 6)) % 77.34/77.58 (define @t680 () (@quantifiers_skolemize @t268 4)) % 77.34/77.58 (define @t681 () (@quantifiers_skolemize @t268 1)) % 77.34/77.58 (define @t682 () (tptp.cons @t681 tptp.nil)) % 77.34/77.58 (define @t683 () (@quantifiers_skolemize @t268 0)) % 77.34/77.58 (define @t684 () (tptp.cons @t683 tptp.nil)) % 77.34/77.58 (define @t685 () (@quantifiers_skolemize @t268 2)) % 77.34/77.58 (define @t686 () (tptp.app @t685 @t684)) % 77.34/77.58 (define @t687 () (tptp.app @t686 @t269)) % 77.34/77.58 (define @t688 () (tptp.app (tptp.app @t687 @t682) @t680)) % 77.34/77.58 (define @t689 () (@quantifiers_skolemize @t268 5)) % 77.34/77.58 (define @t690 () (tptp.app (tptp.app @t689 @t688) @t679)) % 77.34/77.58 (define @t691 () (tptp.ssList @t680)) % 77.34/77.58 (define @t692 () (not @t691)) % 77.34/77.58 (define @t693 () (not @t678)) % 77.34/77.58 (define @t694 () (tptp.ssList @t685)) % 77.34/77.58 (define @t695 () (not @t694)) % 77.34/77.58 (define @t696 () (tptp.lt @t681 @t683)) % 77.34/77.58 (define @t697 () (not @t696)) % 77.34/77.58 (define @t698 () (tptp.ssItem @t681)) % 77.34/77.58 (define @t699 () (not @t698)) % 77.34/77.58 (define @t700 () (tptp.ssItem @t683)) % 77.34/77.58 (define @t701 () (not @t700)) % 77.34/77.58 (define @t702 () (tptp.totalorderedP @t688)) % 77.34/77.58 (define @t703 () (not @t702)) % 77.34/77.58 (define @t704 () (tptp.ssList @t688)) % 77.34/77.58 (define @t705 () (not @t704)) % 77.34/77.58 (define @t706 () (or @t705 @t703 @t701 @t699 @t697 @t695 @t693 @t692 (not (tptp.ssList @t690)) (and (not (= tptp.nil @t690)) (= tptp.nil @t688)) (not (tptp.ssList @t689)) (not (forall @t251 (or @t250 @t249 @t248 @t247 (not (= @t246 @t688)) @t243 (not (= @t241 @t689))))) (not (tptp.ssList @t679)) (not (forall @t236 (or @t235 @t234 @t233 @t232 (not (= @t231 @t688)) @t222 (not (= @t220 @t679))))))) % 77.34/77.58 (define @t707 () (@list true)) % 77.34/77.58 (define @t708 () (@list @t706)) % 77.34/77.58 (define @t709 () (tptp.app tptp.nil @t269)) % 77.34/77.58 (define @t710 () (= @t269 @t709)) % 77.34/77.58 (define @t711 () (or @t693 @t710)) % 77.34/77.58 (define @t712 () (@list false false)) % 77.34/77.58 (define @t713 () (tptp.app tptp.nil @t680)) % 77.34/77.58 (define @t714 () (= @t680 @t713)) % 77.34/77.58 (define @t715 () (or @t692 @t714)) % 77.34/77.58 (define @t716 () (@var "BOUND_VARIABLE_10657" $$unsorted)) % 77.34/77.58 (define @t717 () (@var "BOUND_VARIABLE_10655" $$unsorted)) % 77.34/77.58 (define @t718 () (= (tptp.app (tptp.app @t2 @t717) @t716) (tptp.app @t2 (tptp.app @t717 @t716)))) % 77.34/77.58 (define @t719 () (not (tptp.ssList @t716))) % 77.34/77.58 (define @t720 () (not (tptp.ssList @t717))) % 77.34/77.58 (define @t721 () (or @t720 @t719 @t718)) % 77.34/77.58 (define @t722 () (or @t291 @t721)) % 77.34/77.58 (define @t723 () (forall (@list @t2 @t717 @t716) @t722)) % 77.34/77.58 (define @t724 () (@list @t717 @t716)) % 77.34/77.58 (define @t725 () (forall @t724 @t722)) % 77.34/77.58 (define @t726 () (forall @t724 @t721)) % 77.34/77.58 (define @t727 () (@var "BOUND_VARIABLE_10637" $$unsorted)) % 77.34/77.58 (define @t728 () (or @t291 @t726)) % 77.34/77.58 (define @t729 () (= (tptp.app @t66 @t727) (tptp.app @t2 (tptp.app @t1 @t727)))) % 77.34/77.58 (define @t730 () (not (tptp.ssList @t727))) % 77.34/77.58 (define @t731 () (or @t342 @t730 @t729)) % 77.34/77.58 (define @t732 () (@list @t1 @t727)) % 77.34/77.58 (define @t733 () (forall @t732 @t731)) % 77.34/77.58 (define @t734 () (or @t730 @t729)) % 77.34/77.58 (define @t735 () (or @t342 @t734)) % 77.34/77.58 (define @t736 () (forall @t732 @t735)) % 77.34/77.58 (define @t737 () (@list @t727)) % 77.34/77.58 (define @t738 () (forall @t737 @t735)) % 77.34/77.58 (define @t739 () (forall @t737 @t734)) % 77.34/77.58 (define @t740 () (@list @t12)) % 77.34/77.58 (define @t741 () (or @t342 @t739)) % 77.34/77.58 (define @t742 () (forall @t16 (or @t386 @t101))) % 77.34/77.58 (define @t743 () (@var "BOUND_VARIABLE_9213" $$unsorted)) % 77.34/77.58 (define @t744 () (tptp.ssList (tptp.cons @t743 @t2))) % 77.34/77.58 (define @t745 () (not (tptp.ssItem @t743))) % 77.34/77.58 (define @t746 () (or @t745 @t744)) % 77.34/77.58 (define @t747 () (or @t291 @t746)) % 77.34/77.58 (define @t748 () (forall (@list @t2 @t743) @t747)) % 77.34/77.58 (define @t749 () (@list @t743)) % 77.34/77.58 (define @t750 () (forall @t749 @t747)) % 77.34/77.58 (define @t751 () (forall @t749 @t746)) % 77.34/77.58 (define @t752 () (@list @t1)) % 77.34/77.58 (define @t753 () (or @t291 @t751)) % 77.34/77.58 (define @t754 () (not @t6)) % 77.34/77.58 (define @t755 () (forall @t7 (or @t754 @t55))) % 77.34/77.58 (define @t756 () (tptp.ssList @t684)) % 77.34/77.58 (define @t757 () (not @t59)) % 77.34/77.58 (define @t758 () (or @t757 @t701 @t756)) % 77.34/77.58 (define @t759 () (@list false false false)) % 77.34/77.58 (define @t760 () (tptp.app @t684 @t269)) % 77.34/77.58 (define @t761 () (tptp.app @t685 @t760)) % 77.34/77.58 (define @t762 () (= @t687 @t761)) % 77.34/77.58 (define @t763 () (not @t756)) % 77.34/77.58 (define @t764 () (or @t695 @t763 @t693 @t762)) % 77.34/77.58 (define @t765 () (@list false false false false)) % 77.34/77.58 (define @t766 () (tptp.ssList @t682)) % 77.34/77.58 (define @t767 () (or @t757 @t699 @t766)) % 77.34/77.58 (define @t768 () (@var "BOUND_VARIABLE_9457" $$unsorted)) % 77.34/77.58 (define @t769 () (tptp.ssList (tptp.app @t2 @t768))) % 77.34/77.58 (define @t770 () (not (tptp.ssList @t768))) % 77.34/77.58 (define @t771 () (or @t770 @t769)) % 77.34/77.58 (define @t772 () (or @t291 @t771)) % 77.34/77.58 (define @t773 () (forall (@list @t2 @t768) @t772)) % 77.34/77.58 (define @t774 () (@list @t768)) % 77.34/77.58 (define @t775 () (forall @t774 @t772)) % 77.34/77.58 (define @t776 () (forall @t774 @t771)) % 77.34/77.58 (define @t777 () (or @t291 @t776)) % 77.34/77.58 (define @t778 () (forall @t7 (or @t342 @t67))) % 77.34/77.58 (define @t779 () (tptp.ssList @t686)) % 77.34/77.58 (define @t780 () (or @t695 @t763 @t779)) % 77.34/77.58 (define @t781 () (tptp.ssList @t687)) % 77.34/77.58 (define @t782 () (not @t779)) % 77.34/77.58 (define @t783 () (or @t782 @t693 @t781)) % 77.34/77.58 (define @t784 () (tptp.app @t682 @t680)) % 77.34/77.58 (define @t785 () (tptp.app @t687 @t784)) % 77.34/77.58 (define @t786 () (= @t688 @t785)) % 77.34/77.58 (define @t787 () (not @t766)) % 77.34/77.58 (define @t788 () (not @t781)) % 77.34/77.58 (define @t789 () (or @t788 @t787 @t692 @t786)) % 77.34/77.58 (define @t790 () (@list @t691 @t781 @t766 @t789)) % 77.34/77.58 (define @t791 () (@var "BOUND_VARIABLE_9494" $$unsorted)) % 77.34/77.58 (define @t792 () (@var "BOUND_VARIABLE_9496" $$unsorted)) % 77.34/77.58 (define @t793 () (= (tptp.cons @t792 (tptp.app @t791 @t2)) (tptp.app (tptp.cons @t792 @t791) @t2))) % 77.34/77.58 (define @t794 () (not (tptp.ssItem @t792))) % 77.34/77.58 (define @t795 () (not (tptp.ssList @t791))) % 77.34/77.58 (define @t796 () (or @t291 @t795 @t794 @t793)) % 77.34/77.58 (define @t797 () (or @t795 @t794 @t793)) % 77.34/77.58 (define @t798 () (or @t291 @t797)) % 77.34/77.58 (define @t799 () (@list @t2 @t791 @t792)) % 77.34/77.58 (define @t800 () (forall @t799 @t798)) % 77.34/77.58 (define @t801 () (@list @t791 @t792)) % 77.34/77.58 (define @t802 () (forall @t801 @t798)) % 77.34/77.58 (define @t803 () (forall @t801 @t797)) % 77.34/77.58 (define @t804 () (@var "BOUND_VARIABLE_9476" $$unsorted)) % 77.34/77.58 (define @t805 () (or @t291 @t803)) % 77.34/77.58 (define @t806 () (= (tptp.cons @t804 @t71) (tptp.app (tptp.cons @t804 @t1) @t2))) % 77.34/77.58 (define @t807 () (not (tptp.ssItem @t804))) % 77.34/77.58 (define @t808 () (or @t342 @t807 @t806)) % 77.34/77.58 (define @t809 () (@list @t1 @t804)) % 77.34/77.58 (define @t810 () (forall @t809 @t808)) % 77.34/77.58 (define @t811 () (or @t807 @t806)) % 77.34/77.58 (define @t812 () (or @t342 @t811)) % 77.34/77.58 (define @t813 () (forall @t809 @t812)) % 77.34/77.58 (define @t814 () (@list @t804)) % 77.34/77.58 (define @t815 () (forall @t814 @t812)) % 77.34/77.58 (define @t816 () (forall @t814 @t811)) % 77.34/77.58 (define @t817 () (or @t342 @t816)) % 77.34/77.58 (define @t818 () (not @t36)) % 77.34/77.58 (define @t819 () (forall @t16 (or @t818 @t72))) % 77.34/77.58 (define @t820 () (tptp.cons @t683 @t709)) % 77.34/77.58 (define @t821 () (or @t693 @t757 @t701 (= @t820 @t760))) % 77.34/77.58 (define @t822 () (forall @t799 @t796)) % 77.34/77.58 (define @t823 () (= @t760 @t820)) % 77.34/77.58 (define @t824 () (or @t693 @t757 @t701 @t823)) % 77.34/77.58 (define @t825 () (@list false)) % 77.34/77.58 (define @t826 () (@list @t822)) % 77.34/77.58 (define @t827 () (tptp.cons @t681 @t713)) % 77.34/77.58 (define @t828 () (or @t692 @t757 @t699 (= @t827 @t784))) % 77.34/77.58 (define @t829 () (= @t784 @t827)) % 77.34/77.58 (define @t830 () (or @t692 @t757 @t699 @t829)) % 77.34/77.58 (define @t831 () (@var "BOUND_VARIABLE_8885" $$unsorted)) % 77.34/77.58 (define @t832 () (@var "BOUND_VARIABLE_8879" $$unsorted)) % 77.34/77.58 (define @t833 () (@var "BOUND_VARIABLE_8883" $$unsorted)) % 77.34/77.58 (define @t834 () (@var "BOUND_VARIABLE_8881" $$unsorted)) % 77.34/77.58 (define @t835 () (tptp.app (tptp.app @t834 (tptp.cons @t1 @t833)) (tptp.cons @t832 @t831))) % 77.34/77.58 (define @t836 () (not (= @t2 @t835))) % 77.34/77.58 (define @t837 () (not (tptp.ssList @t831))) % 77.34/77.58 (define @t838 () (not (tptp.ssList @t833))) % 77.34/77.58 (define @t839 () (not (tptp.ssList @t834))) % 77.34/77.58 (define @t840 () (tptp.leq @t1 @t832)) % 77.34/77.58 (define @t841 () (not (tptp.ssItem @t832))) % 77.34/77.58 (define @t842 () (or @t754 @t841 @t840 @t839 @t838 @t837 @t836)) % 77.34/77.58 (define @t843 () (@list @t1 @t832 @t834 @t833 @t831)) % 77.34/77.58 (define @t844 () (= @t49 (forall @t843 @t842))) % 77.34/77.58 (define @t845 () (or @t841 @t840 @t839 @t838 @t837 @t836)) % 77.34/77.58 (define @t846 () (or @t754 @t845)) % 77.34/77.58 (define @t847 () (forall @t843 @t846)) % 77.34/77.58 (define @t848 () (@list @t832 @t834 @t833 @t831)) % 77.34/77.58 (define @t849 () (forall @t848 @t846)) % 77.34/77.58 (define @t850 () (forall @t848 @t845)) % 77.34/77.58 (define @t851 () (@var "BOUND_VARIABLE_8855" $$unsorted)) % 77.34/77.58 (define @t852 () (@var "BOUND_VARIABLE_8853" $$unsorted)) % 77.34/77.58 (define @t853 () (@var "BOUND_VARIABLE_8851" $$unsorted)) % 77.34/77.58 (define @t854 () (or @t754 @t850)) % 77.34/77.58 (define @t855 () (not (= @t2 (tptp.app (tptp.app @t853 (tptp.cons @t1 @t852)) (tptp.cons @t12 @t851))))) % 77.34/77.58 (define @t856 () (not (tptp.ssList @t851))) % 77.34/77.58 (define @t857 () (not (tptp.ssList @t852))) % 77.34/77.58 (define @t858 () (not (tptp.ssList @t853))) % 77.34/77.58 (define @t859 () (or @t818 @t26 @t858 @t857 @t856 @t855)) % 77.34/77.58 (define @t860 () (@list @t12 @t853 @t852 @t851)) % 77.34/77.58 (define @t861 () (forall @t860 @t859)) % 77.34/77.58 (define @t862 () (or @t858 @t857 @t856 @t855)) % 77.34/77.58 (define @t863 () (or @t818 @t26 @t862)) % 77.34/77.58 (define @t864 () (forall @t860 @t863)) % 77.34/77.58 (define @t865 () (@list @t853 @t852 @t851)) % 77.34/77.58 (define @t866 () (forall @t865 @t863)) % 77.34/77.58 (define @t867 () (forall @t865 @t862)) % 77.34/77.58 (define @t868 () (@var "BOUND_VARIABLE_8564" $$unsorted)) % 77.34/77.58 (define @t869 () (@var "BOUND_VARIABLE_8562" $$unsorted)) % 77.34/77.58 (define @t870 () (or @t818 @t26 @t867)) % 77.34/77.58 (define @t871 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t869)) (tptp.cons @t12 @t868))))) % 77.34/77.58 (define @t872 () (not (tptp.ssList @t868))) % 77.34/77.58 (define @t873 () (not (tptp.ssList @t869))) % 77.34/77.58 (define @t874 () (or @t424 @t873 @t872 @t871)) % 77.34/77.58 (define @t875 () (@list @t10 @t869 @t868)) % 77.34/77.58 (define @t876 () (forall @t875 @t874)) % 77.34/77.58 (define @t877 () (or @t818 @t26 @t876)) % 77.34/77.58 (define @t878 () (or @t26 @t876)) % 77.34/77.58 (define @t879 () (or @t873 @t872 @t871)) % 77.34/77.58 (define @t880 () (or @t424 @t879)) % 77.34/77.58 (define @t881 () (forall @t875 @t880)) % 77.34/77.58 (define @t882 () (@list @t869 @t868)) % 77.34/77.58 (define @t883 () (forall @t882 @t880)) % 77.34/77.58 (define @t884 () (forall @t882 @t879)) % 77.34/77.58 (define @t885 () (@var "BOUND_VARIABLE_8540" $$unsorted)) % 77.34/77.58 (define @t886 () (or @t424 @t884)) % 77.34/77.58 (define @t887 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t885))))) % 77.34/77.58 (define @t888 () (not (tptp.ssList @t885))) % 77.34/77.58 (define @t889 () (or @t448 @t888 @t887)) % 77.34/77.58 (define @t890 () (@list @t28 @t885)) % 77.34/77.58 (define @t891 () (forall @t890 @t889)) % 77.34/77.58 (define @t892 () (or @t424 @t891)) % 77.34/77.58 (define @t893 () (forall @t14 @t892)) % 77.34/77.58 (define @t894 () (or @t26 @t893)) % 77.34/77.58 (define @t895 () (or @t26 @t892)) % 77.34/77.58 (define @t896 () (or @t424 @t26 @t891)) % 77.34/77.58 (define @t897 () (or @t26 @t891)) % 77.34/77.58 (define @t898 () (or @t888 @t887)) % 77.34/77.58 (define @t899 () (or @t448 @t898)) % 77.34/77.58 (define @t900 () (forall @t890 @t899)) % 77.34/77.58 (define @t901 () (@list @t885)) % 77.34/77.58 (define @t902 () (forall @t901 @t899)) % 77.34/77.58 (define @t903 () (forall @t901 @t898)) % 77.34/77.58 (define @t904 () (or @t448 @t903)) % 77.34/77.58 (define @t905 () (= @t2 @t30)) % 77.34/77.58 (define @t906 () (not @t905)) % 77.34/77.58 (define @t907 () (or @t550 @t906)) % 77.34/77.58 (define @t908 () (forall @t33 @t907)) % 77.34/77.58 (define @t909 () (or @t448 @t908)) % 77.34/77.58 (define @t910 () (forall @t35 @t909)) % 77.34/77.58 (define @t911 () (or @t26 @t910)) % 77.34/77.58 (define @t912 () (or @t26 @t909)) % 77.34/77.58 (define @t913 () (or @t448 @t26 @t908)) % 77.34/77.58 (define @t914 () (or @t26 @t908)) % 77.34/77.58 (define @t915 () (or @t26 @t907)) % 77.34/77.58 (define @t916 () (or @t550 @t906 @t26)) % 77.34/77.58 (define @t917 () (=> @t905 @t26)) % 77.34/77.58 (define @t918 () (not (= @t688 @t835))) % 77.34/77.58 (define @t919 () (or @t754 @t841 @t840 @t839 @t838 @t837 @t918)) % 77.34/77.58 (define @t920 () (forall @t843 @t919)) % 77.34/77.58 (define @t921 () (= @t702 @t920)) % 77.34/77.58 (define @t922 () (or @t705 @t921)) % 77.34/77.58 (define @t923 () (forall @t9 (or @t291 @t844))) % 77.34/77.58 (define @t924 () (forall @t843 (or @t754 @t841 @t840 @t839 @t838 @t837 (not (= @t835 @t688))))) % 77.34/77.58 (define @t925 () (= @t702 @t924)) % 77.34/77.58 (define @t926 () (or @t705 @t925)) % 77.34/77.58 (define @t927 () (tptp.app (tptp.app @t685 (tptp.cons @t683 @t269)) (tptp.cons @t681 @t680))) % 77.34/77.58 (define @t928 () (not (= @t927 @t688))) % 77.34/77.58 (define @t929 () (tptp.leq @t683 @t681)) % 77.34/77.58 (define @t930 () (or @t701 @t699 @t929 @t695 @t693 @t692 @t928)) % 77.34/77.58 (define @t931 () (= @t688 @t927)) % 77.34/77.58 (define @t932 () (not @t931)) % 77.34/77.58 (define @t933 () (or @t701 @t699 @t929 @t695 @t693 @t692 @t932)) % 77.34/77.58 (define @t934 () (@var "BOUND_VARIABLE_9531" $$unsorted)) % 77.34/77.58 (define @t935 () (= @t2 @t934)) % 77.34/77.58 (define @t936 () (not (tptp.leq @t934 @t2))) % 77.34/77.58 (define @t937 () (not (tptp.leq @t2 @t934))) % 77.34/77.58 (define @t938 () (not (tptp.ssItem @t934))) % 77.34/77.58 (define @t939 () (not @t8)) % 77.34/77.58 (define @t940 () (or @t939 @t938 @t937 @t936 @t935)) % 77.34/77.58 (define @t941 () (or @t938 @t937 @t936 @t935)) % 77.34/77.58 (define @t942 () (or @t939 @t941)) % 77.34/77.58 (define @t943 () (@list @t2 @t934)) % 77.34/77.58 (define @t944 () (forall @t943 @t942)) % 77.34/77.58 (define @t945 () (@list @t934)) % 77.34/77.58 (define @t946 () (forall @t945 @t942)) % 77.34/77.58 (define @t947 () (forall @t945 @t941)) % 77.34/77.58 (define @t948 () (or @t939 @t947)) % 77.34/77.58 (define @t949 () (not @t81)) % 77.34/77.58 (define @t950 () (not @t82)) % 77.34/77.58 (define @t951 () (or @t754 @t950 @t949 @t3)) % 77.34/77.58 (define @t952 () (forall @t7 @t951)) % 77.34/77.58 (define @t953 () (or @t950 @t949 @t3)) % 77.34/77.58 (define @t954 () (not @t929)) % 77.34/77.58 (define @t955 () (tptp.leq @t681 @t683)) % 77.34/77.58 (define @t956 () (not @t955)) % 77.34/77.58 (define @t957 () (= @t681 @t683)) % 77.34/77.58 (define @t958 () (or @t699 @t701 @t956 @t954 @t957)) % 77.34/77.58 (define @t959 () (forall @t943 @t940)) % 77.34/77.58 (define @t960 () (@list @t681 @t683)) % 77.34/77.58 (define @t961 () (= @t683 @t681)) % 77.34/77.58 (define @t962 () (or @t699 @t701 @t956 @t954 @t961)) % 77.34/77.58 (define @t963 () (@var "BOUND_VARIABLE_10925" $$unsorted)) % 77.34/77.58 (define @t964 () (= (tptp.lt @t2 @t963) (and (not (= @t2 @t963)) (tptp.leq @t2 @t963)))) % 77.34/77.58 (define @t965 () (not (tptp.ssItem @t963))) % 77.34/77.58 (define @t966 () (or @t939 @t965 @t964)) % 77.34/77.58 (define @t967 () (or @t965 @t964)) % 77.34/77.58 (define @t968 () (or @t939 @t967)) % 77.34/77.58 (define @t969 () (@list @t2 @t963)) % 77.34/77.58 (define @t970 () (forall @t969 @t968)) % 77.34/77.58 (define @t971 () (@list @t963)) % 77.34/77.58 (define @t972 () (forall @t971 @t968)) % 77.34/77.58 (define @t973 () (forall @t971 @t967)) % 77.34/77.58 (define @t974 () (or @t939 @t973)) % 77.34/77.58 (define @t975 () (forall @t7 (or @t754 @t107))) % 77.34/77.58 (define @t976 () (not @t957)) % 77.34/77.58 (define @t977 () (and @t976 @t955)) % 77.34/77.58 (define @t978 () (= @t696 @t977)) % 77.34/77.58 (define @t979 () (or @t699 @t701 @t978)) % 77.34/77.58 (define @t980 () (forall @t969 @t966)) % 77.34/77.58 (define @t981 () (not @t961)) % 77.34/77.58 (define @t982 () (and @t981 @t955)) % 77.34/77.58 (define @t983 () (= @t696 @t982)) % 77.34/77.58 (define @t984 () (or @t699 @t701 @t983)) % 77.34/77.58 (define @t985 () (not @t982)) % 77.34/77.58 (define @t986 () (@list @t982)) % 77.34/77.58 (define @t987 () (not @t829)) % 77.34/77.58 (define @t988 () (not @t823)) % 77.34/77.58 (define @t989 () (not @t786)) % 77.34/77.58 (define @t990 () (not @t762)) % 77.34/77.58 (define @t991 () (not @t714)) % 77.34/77.58 (define @t992 () (not @t710)) % 77.34/77.58 (define @t993 () (and @t932 @t931)) % 77.34/77.58 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 77.34/77.58 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 77.34/77.58 (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))))))))))) % 77.34/77.58 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 77.34/77.58 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 77.34/77.58 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 77.34/77.58 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 77.34/77.58 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not (and @t26 @t25))))))))))))))))) % 77.34/77.58 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t26 @t25)))))))))))))))) % 77.34/77.58 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t37 (tptp.lt @t12 @t1))))))))))))))))) % 77.34/77.58 (assume @p11 @t52) % 77.34/77.58 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 @t37))))))))))))))) % 77.34/77.58 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not @t53)))))))))))))))) % 77.34/77.58 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t53))))))))))))) % 77.34/77.58 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 77.34/77.58 (assume @p16 @t58) % 77.34/77.58 (assume @p17 @t59) % 77.34/77.58 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t54 @t2))))))) % 77.34/77.58 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t60))))))))))) % 77.34/77.58 (assume @p20 (forall @t9 (=> @t17 (or @t62 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t61 @t2))))))))) % 77.34/77.58 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 77.34/77.58 (assume @p22 (forall @t9 (=> @t17 (=> @t64 (tptp.ssItem @t63))))) % 77.34/77.58 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 77.34/77.58 (assume @p24 (forall @t9 (=> @t17 (=> @t64 (tptp.ssList @t65))))) % 77.34/77.58 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t54) @t2)))))) % 77.34/77.58 (assume @p26 @t70) % 77.34/77.58 (assume @p27 @t77) % 77.34/77.58 (assume @p28 @t80) % 77.34/77.58 (assume @p29 @t87) % 77.34/77.58 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t26) (tptp.leq @t2 @t12))))))))) % 77.34/77.58 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 77.34/77.58 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t88 @t81)))))) % 77.34/77.58 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t90 (not @t89))))))) % 77.34/77.58 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t90 @t37) @t91)))))))) % 77.34/77.58 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t92 @t89)))))) % 77.34/77.58 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t93))))))))) % 77.34/77.58 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t93))))))))) % 77.34/77.58 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 77.34/77.58 (assume @p39 (not (tptp.singletonP tptp.nil))) % 77.34/77.58 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 77.34/77.58 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 77.34/77.58 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 77.34/77.58 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 77.34/77.58 (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)))))))))))) % 77.34/77.58 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 77.34/77.58 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t62)))) % 77.34/77.58 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 77.34/77.58 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 77.34/77.58 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 77.34/77.58 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t94 @t1))))))))) % 77.34/77.58 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 77.34/77.58 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t62)))) % 77.34/77.58 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 77.34/77.58 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 77.34/77.58 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 77.34/77.58 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t94 @t10) @t1))))))))))) % 77.34/77.58 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 77.34/77.58 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t62)))) % 77.34/77.58 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t95)))) % 77.34/77.58 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 77.34/77.58 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t95)))) % 77.34/77.58 (assume @p62 (tptp.totalorderP tptp.nil)) % 77.34/77.58 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t95)))) % 77.34/77.58 (assume @p64 (tptp.strictorderP tptp.nil)) % 77.34/77.58 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t95)))) % 77.34/77.58 (assume @p66 (tptp.totalorderedP tptp.nil)) % 77.34/77.58 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t99) (or @t97 (and @t98 (tptp.totalorderedP @t1) (tptp.leq @t2 @t96))))))))) % 77.34/77.58 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t95)))) % 77.34/77.58 (assume @p69 (tptp.strictorderedP tptp.nil)) % 77.34/77.58 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t99) (or @t97 (and @t98 (tptp.strictorderedP @t1) (tptp.lt @t2 @t96))))))))) % 77.34/77.58 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t95)))) % 77.34/77.58 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 77.34/77.58 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t95)))) % 77.34/77.58 (assume @p74 (tptp.equalelemsP tptp.nil)) % 77.34/77.58 (assume @p75 (forall @t9 (=> @t17 (=> @t64 (exists @t7 (and @t6 (= @t63 @t1))))))) % 77.34/77.58 (assume @p76 (forall @t9 (=> @t17 (=> @t64 (exists @t7 (and @t21 (= @t65 @t1))))))) % 77.34/77.58 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t98 @t64 (= @t96 @t63) (= (tptp.tl @t1) @t65)) @t60)))))) % 77.34/77.58 (assume @p78 (forall @t9 (=> @t17 (=> @t64 (= (tptp.cons @t63 @t65) @t2))))) % 77.34/77.58 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t66) @t100)))))))) % 77.34/77.58 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t71) @t100)))))))) % 77.34/77.58 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 77.34/77.58 (assume @p82 @t106) % 77.34/77.58 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t66) (and @t97 @t62))))))) % 77.34/77.58 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 77.34/77.58 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t64 (= (tptp.hd @t66) @t63))))))) % 77.34/77.58 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t64 (= (tptp.tl @t66) (tptp.app @t65 @t1)))))))) % 77.34/77.58 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t88 (tptp.geq @t1 @t2)) @t3)))))) % 77.34/77.58 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t88 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 77.34/77.58 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 77.34/77.58 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 77.34/77.58 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t37) @t91)))))))) % 77.34/77.58 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t82 (or @t3 @t90))))))) % 77.34/77.58 (assume @p93 @t110) % 77.34/77.58 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t92 (not (tptp.gt @t1 @t2)))))))) % 77.34/77.58 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t92 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 77.34/77.58 (assume @p96 @t216) % 77.34/77.58 (assume @p97 true) % 77.34/77.58 (step @p98 :rule bool-impl-elim :args (@t17 @t217)) % 77.34/77.58 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t217)))) % 77.34/77.58 (step @p100 :rule eq-symm :args (@t78 @t2)) % 77.34/77.58 (step @p101 :rule refl :args (@t17)) % 77.34/77.58 (step @p102 :rule cong :premises (@p101 @p100) :args (@t79)) % 77.34/77.58 (step @p103 :rule cong :premises (@p102) :args (@t80)) % 77.34/77.58 (step @p104 :rule trans :premises (@p103 @p99)) % 77.34/77.58 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 77.34/77.58 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t269))) % 77.34/77.58 (step @p107 :rule aci_norm :args ((= (or @t265 @t264 @t263 @t262 @t261 @t260 @t259 @t258 false @t257 @t256 @t253 @t252 @t238 @t237) @t266))) % 77.34/77.58 (step @p108 :rule refl :args (@t221)) % 77.34/77.58 (step @p109 :rule refl :args (@t222)) % 77.34/77.58 (step @p110 :rule eq-symm :args (@t228 @t231)) % 77.34/77.58 (step @p111 :rule cong :premises (@p110) :args (@t270)) % 77.34/77.58 (step @p112 :rule refl :args (@t232)) % 77.34/77.58 (step @p113 :rule refl :args (@t233)) % 77.34/77.58 (step @p114 :rule refl :args (@t234)) % 77.34/77.58 (step @p115 :rule refl :args (@t235)) % 77.34/77.58 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111 @p109 @p108) :args (@t271)) % 77.34/77.58 (step @p117 :rule cong :premises (@p116) :args (@t272)) % 77.34/77.58 (step @p118 :rule cong :premises (@p117) :args (@t273)) % 77.34/77.58 (step @p119 :rule refl :args (@t238)) % 77.34/77.58 (step @p120 :rule refl :args (@t242)) % 77.34/77.58 (step @p121 :rule refl :args (@t243)) % 77.34/77.58 (step @p122 :rule eq-symm :args (@t228 @t246)) % 77.34/77.58 (step @p123 :rule cong :premises (@p122) :args (@t274)) % 77.34/77.58 (step @p124 :rule refl :args (@t247)) % 77.34/77.58 (step @p125 :rule refl :args (@t248)) % 77.34/77.58 (step @p126 :rule refl :args (@t249)) % 77.34/77.58 (step @p127 :rule refl :args (@t250)) % 77.34/77.58 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125 @p124 @p123 @p121 @p120) :args (@t275)) % 77.34/77.58 (step @p129 :rule cong :premises (@p128) :args (@t276)) % 77.34/77.58 (step @p130 :rule cong :premises (@p129) :args (@t277)) % 77.34/77.58 (step @p131 :rule refl :args (@t253)) % 77.34/77.58 (step @p132 :rule eq-symm :args (@t228 tptp.nil)) % 77.34/77.58 (step @p133 :rule refl :args (@t255)) % 77.34/77.58 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t278)) % 77.34/77.58 (step @p135 :rule refl :args (@t257)) % 77.34/77.58 (step @p136 :rule evaluate :args ((not true))) % 77.34/77.58 (step @p137 :rule eq-refl :args (@t228)) % 77.34/77.58 (step @p138 :rule cong :premises (@p137) :args (@t279)) % 77.34/77.58 (step @p139 :rule trans :premises (@p138 @p136)) % 77.34/77.58 (step @p140 :rule refl :args (@t258)) % 77.34/77.58 (step @p141 :rule refl :args (@t259)) % 77.34/77.58 (step @p142 :rule refl :args (@t260)) % 77.34/77.58 (step @p143 :rule refl :args (@t261)) % 77.34/77.58 (step @p144 :rule refl :args (@t262)) % 77.34/77.58 (step @p145 :rule refl :args (@t263)) % 77.34/77.58 (step @p146 :rule refl :args (@t264)) % 77.34/77.58 (step @p147 :rule refl :args (@t265)) % 77.34/77.58 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p135 @p134 @p131 @p130 @p119 @p118) :args (@t280)) % 77.34/77.58 (step @p149 :rule trans :premises (@p148 @p107)) % 77.34/77.58 (step @p150 :rule cong :premises (@p149) :args ((forall @t267 @t280))) % 77.34/77.58 (step @p151 :rule quant-var-elim-eq :args ((= (forall @t9 @t292) @t280))) % 77.34/77.58 (step @p152 :rule aci_norm :args ((= @t293 @t292))) % 77.34/77.58 (step @p153 :rule cong :premises (@p152) :args (@t294)) % 77.34/77.58 (step @p154 :rule trans :premises (@p153 @p151)) % 77.34/77.58 (step @p155 :rule cong :premises (@p154) :args (@t295)) % 77.34/77.58 (step @p156 :rule quant-merge-prenex :args ((= @t295 @t296))) % 77.34/77.58 (step @p157 :rule symm :premises (@p156)) % 77.34/77.58 (step @p158 :rule quant_var_reordering :args ((= (forall @t297 @t293) @t296))) % 77.34/77.58 (step @p159 :rule trans :premises (@p158 @p157 @p155)) % 77.34/77.58 (step @p160 :rule trans :premises (@p159 @p150)) % 77.34/77.58 (step @p161 :rule aci_norm :args ((= @t300 @t293))) % 77.34/77.58 (step @p162 :rule cong :premises (@p161) :args (@t301)) % 77.34/77.58 (step @p163 :rule trans :premises (@p162 @p160)) % 77.34/77.58 (step @p164 :rule quant-merge-prenex :args ((= (forall @t9 @t302) @t301))) % 77.34/77.58 (step @p165 :rule alpha_equiv :args (@t303 (@list @t239 @t218) @t306)) % 77.34/77.58 (step @p166 :rule refl :args (@t290)) % 77.34/77.58 (step @p167 :rule alpha_equiv :args (@t307 (@list @t226 @t224 @t227 @t225 @t223) (@list @t113 @t311 @t310 @t309 @t308))) % 77.34/77.58 (step @p168 :rule refl :args (@t291)) % 77.34/77.58 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166 @p165) :args (@t312)) % 77.34/77.58 (step @p170 :rule quant-miniscope-or :args ((= @t302 @t312))) % 77.34/77.58 (step @p171 :rule trans :premises (@p170 @p169)) % 77.34/77.58 (step @p172 :rule symm :premises (@p171)) % 77.34/77.58 (step @p173 :rule cong :premises (@p172) :args ((forall @t9 @t333))) % 77.34/77.58 (step @p174 :rule trans :premises (@p173 @p164)) % 77.34/77.58 (step @p175 :rule trans :premises (@p174 @p163)) % 77.34/77.58 (step @p176 :rule aci_norm :args ((= (or @t291 @t334) @t333))) % 77.34/77.58 (step @p177 :rule bool-impl-elim :args (@t17 @t334)) % 77.34/77.58 (step @p178 :rule trans :premises (@p177 @p176)) % 77.34/77.58 (step @p179 :rule cong :premises (@p178) :args ((forall @t9 (=> @t17 @t334)))) % 77.34/77.58 (step @p180 :rule trans :premises (@p179 @p175)) % 77.34/77.58 (step @p181 :rule aci_norm :args ((= (or @t319 @t318 @t316 @t315 @t314 false @t313) @t320))) % 77.34/77.58 (step @p182 :rule refl :args (@t313)) % 77.34/77.58 (step @p183 :rule eq-refl :args (@t317)) % 77.34/77.58 (step @p184 :rule cong :premises (@p183) :args (@t335)) % 77.34/77.58 (step @p185 :rule trans :premises (@p184 @p136)) % 77.34/77.58 (step @p186 :rule refl :args (@t314)) % 77.34/77.58 (step @p187 :rule refl :args (@t315)) % 77.34/77.58 (step @p188 :rule refl :args (@t316)) % 77.34/77.58 (step @p189 :rule refl :args (@t285)) % 77.34/77.58 (step @p190 :rule eq-symm :args (@t317 tptp.nil)) % 77.34/77.58 (step @p191 :rule cong :premises (@p190) :args (@t336)) % 77.34/77.58 (step @p192 :rule nary_cong :premises (@p191 @p189) :args (@t337)) % 77.34/77.58 (step @p193 :rule refl :args (@t319)) % 77.34/77.58 (step @p194 :rule nary_cong :premises (@p193 @p192 @p188 @p187 @p186 @p185 @p182) :args (@t338)) % 77.34/77.58 (step @p195 :rule trans :premises (@p194 @p181)) % 77.34/77.58 (step @p196 :rule cong :premises (@p195) :args ((forall @t321 @t338))) % 77.34/77.58 (step @p197 :rule quant-var-elim-eq :args ((= (forall @t7 @t343) @t338))) % 77.34/77.58 (step @p198 :rule aci_norm :args ((= @t344 @t343))) % 77.34/77.58 (step @p199 :rule cong :premises (@p198) :args (@t345)) % 77.34/77.58 (step @p200 :rule trans :premises (@p199 @p197)) % 77.34/77.58 (step @p201 :rule cong :premises (@p200) :args (@t346)) % 77.34/77.58 (step @p202 :rule quant-merge-prenex :args ((= @t346 @t347))) % 77.34/77.58 (step @p203 :rule symm :premises (@p202)) % 77.34/77.58 (step @p204 :rule quant_var_reordering :args ((= (forall @t348 @t344) @t347))) % 77.34/77.58 (step @p205 :rule trans :premises (@p204 @p203 @p201)) % 77.34/77.58 (step @p206 :rule trans :premises (@p205 @p196)) % 77.34/77.58 (step @p207 :rule aci_norm :args ((= @t350 @t344))) % 77.34/77.58 (step @p208 :rule cong :premises (@p207) :args (@t351)) % 77.34/77.58 (step @p209 :rule trans :premises (@p208 @p206)) % 77.34/77.58 (step @p210 :rule quant-merge-prenex :args ((= (forall @t7 @t352) @t351))) % 77.34/77.58 (step @p211 :rule alpha_equiv :args (@t353 @t306 @t356)) % 77.34/77.58 (step @p212 :rule refl :args (@t341)) % 77.34/77.58 (step @p213 :rule refl :args (@t342)) % 77.34/77.58 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211) :args (@t357)) % 77.34/77.58 (step @p215 :rule quant-miniscope-or :args ((= @t352 @t357))) % 77.34/77.58 (step @p216 :rule trans :premises (@p215 @p214)) % 77.34/77.58 (step @p217 :rule symm :premises (@p216)) % 77.34/77.58 (step @p218 :rule cong :premises (@p217) :args (@t369)) % 77.34/77.58 (step @p219 :rule trans :premises (@p218 @p210)) % 77.34/77.58 (step @p220 :rule trans :premises (@p219 @p209)) % 77.34/77.58 (step @p221 :rule refl :args (@t290)) % 77.34/77.58 (step @p222 :rule refl :args (@t291)) % 77.34/77.58 (step @p223 :rule refl :args (@t332)) % 77.34/77.58 (step @p224 :rule nary_cong :premises (@p223 @p222 @p221 @p220) :args (@t370)) % 77.34/77.58 (step @p225 :rule quant-miniscope-or :args ((= (forall @t7 @t371) @t370))) % 77.34/77.58 (step @p226 :rule aci_norm :args ((= @t372 @t371))) % 77.34/77.58 (step @p227 :rule cong :premises (@p226) :args ((forall @t7 @t372))) % 77.34/77.58 (step @p228 :rule trans :premises (@p227 @p225)) % 77.34/77.58 (step @p229 :rule trans :premises (@p228 @p224)) % 77.34/77.58 (step @p230 :rule aci_norm :args ((= (or @t342 @t373) @t372))) % 77.34/77.58 (step @p231 :rule bool-impl-elim :args (@t21 @t373)) % 77.34/77.58 (step @p232 :rule trans :premises (@p231 @p230)) % 77.34/77.58 (step @p233 :rule cong :premises (@p232) :args ((forall @t7 (=> @t21 @t373)))) % 77.34/77.58 (step @p234 :rule trans :premises (@p233 @p229)) % 77.34/77.58 (step @p235 :rule aci_norm :args ((= (or @t332 @t342 @t374) @t373))) % 77.34/77.58 (step @p236 :rule quant-miniscope-or :args ((= (forall @t366 @t375) @t374))) % 77.34/77.58 (step @p237 :rule aci_norm :args ((= @t376 @t375))) % 77.34/77.58 (step @p238 :rule cong :premises (@p237) :args ((forall @t366 @t376))) % 77.34/77.58 (step @p239 :rule trans :premises (@p238 @p236)) % 77.34/77.58 (step @p240 :rule aci_norm :args ((= (or @t291 false @t290 @t341 @t364 @t363 @t361 @t360 @t359) @t376))) % 77.34/77.58 (step @p241 :rule refl :args (@t359)) % 77.34/77.58 (step @p242 :rule refl :args (@t360)) % 77.34/77.58 (step @p243 :rule refl :args (@t361)) % 77.34/77.58 (step @p244 :rule refl :args (@t363)) % 77.34/77.58 (step @p245 :rule refl :args (@t364)) % 77.34/77.58 (step @p246 :rule refl :args (@t341)) % 77.34/77.58 (step @p247 :rule eq-refl :args (@t2)) % 77.34/77.58 (step @p248 :rule cong :premises (@p247) :args (@t377)) % 77.34/77.58 (step @p249 :rule trans :premises (@p248 @p136)) % 77.34/77.58 (step @p250 :rule nary_cong :premises (@p222 @p249 @p221 @p246 @p245 @p244 @p243 @p242 @p241) :args (@t378)) % 77.34/77.58 (step @p251 :rule trans :premises (@p250 @p240)) % 77.34/77.58 (step @p252 :rule cong :premises (@p251) :args ((forall @t366 @t378))) % 77.34/77.58 (step @p253 :rule trans :premises (@p252 @p239)) % 77.34/77.58 (step @p254 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t100) @t386 @t205 @t196 @t385 @t364 @t383 @t361 @t381 @t380)) @t378))) % 77.34/77.58 (step @p255 :rule refl :args (@t380)) % 77.34/77.58 (step @p256 :rule refl :args (@t381)) % 77.34/77.58 (step @p257 :rule refl :args (@t361)) % 77.34/77.58 (step @p258 :rule refl :args (@t383)) % 77.34/77.58 (step @p259 :rule refl :args (@t364)) % 77.34/77.58 (step @p260 :rule refl :args (@t385)) % 77.34/77.58 (step @p261 :rule refl :args (@t196)) % 77.34/77.58 (step @p262 :rule refl :args (@t205)) % 77.34/77.58 (step @p263 :rule refl :args (@t386)) % 77.34/77.58 (step @p264 :rule eq-symm :args (@t2 @t12)) % 77.34/77.58 (step @p265 :rule cong :premises (@p264) :args (@t205)) % 77.34/77.58 (step @p266 :rule nary_cong :premises (@p265 @p263 @p262 @p261 @p260 @p259 @p258 @p257 @p256 @p255) :args (@t387)) % 77.34/77.58 (step @p267 :rule aci_norm :args ((= @t388 @t387))) % 77.34/77.58 (step @p268 :rule trans :premises (@p267 @p266)) % 77.34/77.58 (step @p269 :rule cong :premises (@p268) :args (@t389)) % 77.34/77.58 (step @p270 :rule trans :premises (@p269 @p254)) % 77.34/77.58 (step @p271 :rule cong :premises (@p270) :args (@t390)) % 77.34/77.58 (step @p272 :rule quant-merge-prenex :args ((= @t390 @t391))) % 77.34/77.58 (step @p273 :rule symm :premises (@p272)) % 77.34/77.58 (step @p274 :rule quant_var_reordering :args ((= (forall @t392 @t388) @t391))) % 77.34/77.58 (step @p275 :rule trans :premises (@p274 @p273 @p271)) % 77.34/77.58 (step @p276 :rule trans :premises (@p275 @p253)) % 77.34/77.58 (step @p277 :rule aci_norm :args ((= @t394 @t388))) % 77.34/77.58 (step @p278 :rule cong :premises (@p277) :args (@t395)) % 77.34/77.58 (step @p279 :rule trans :premises (@p278 @p276)) % 77.34/77.58 (step @p280 :rule quant-merge-prenex :args ((= (forall @t16 @t396) @t395))) % 77.34/77.58 (step @p281 :rule alpha_equiv :args (@t397 @t356 @t400)) % 77.34/77.58 (step @p282 :rule nary_cong :premises (@p263 @p262 @p261 @p260 @p281) :args (@t401)) % 77.34/77.58 (step @p283 :rule quant-miniscope-or :args ((= @t396 @t401))) % 77.34/77.58 (step @p284 :rule trans :premises (@p283 @p282)) % 77.34/77.58 (step @p285 :rule symm :premises (@p284)) % 77.34/77.58 (step @p286 :rule cong :premises (@p285) :args (@t412)) % 77.34/77.58 (step @p287 :rule trans :premises (@p286 @p280)) % 77.34/77.58 (step @p288 :rule trans :premises (@p287 @p279)) % 77.34/77.58 (step @p289 :rule refl :args (@t342)) % 77.34/77.58 (step @p290 :rule nary_cong :premises (@p223 @p289 @p288) :args (@t413)) % 77.34/77.58 (step @p291 :rule trans :premises (@p290 @p235)) % 77.34/77.58 (step @p292 :rule quant-miniscope-or :args ((= (forall @t16 @t414) @t413))) % 77.34/77.58 (step @p293 :rule aci_norm :args ((= @t415 @t414))) % 77.34/77.58 (step @p294 :rule cong :premises (@p293) :args ((forall @t16 @t415))) % 77.34/77.58 (step @p295 :rule trans :premises (@p294 @p292)) % 77.34/77.58 (step @p296 :rule trans :premises (@p295 @p291)) % 77.34/77.58 (step @p297 :rule aci_norm :args ((= (or @t386 @t416) @t415))) % 77.34/77.58 (step @p298 :rule bool-impl-elim :args (@t15 @t416)) % 77.34/77.58 (step @p299 :rule trans :premises (@p298 @p297)) % 77.34/77.58 (step @p300 :rule cong :premises (@p299) :args ((forall @t16 (=> @t15 @t416)))) % 77.34/77.58 (step @p301 :rule trans :premises (@p300 @p296)) % 77.34/77.58 (step @p302 :rule aci_norm :args ((= (or @t205 @t332 @t196 @t417) @t416))) % 77.34/77.58 (step @p303 :rule quant-miniscope-or :args ((= (forall @t409 @t418) @t417))) % 77.34/77.58 (step @p304 :rule aci_norm :args ((= @t419 @t418))) % 77.34/77.58 (step @p305 :rule cong :premises (@p304) :args ((forall @t409 @t419))) % 77.34/77.58 (step @p306 :rule trans :premises (@p305 @p303)) % 77.34/77.58 (step @p307 :rule aci_norm :args ((= (or @t342 false @t385 @t407 @t406 @t405 @t404 @t402) @t419))) % 77.34/77.58 (step @p308 :rule refl :args (@t402)) % 77.34/77.58 (step @p309 :rule refl :args (@t404)) % 77.34/77.58 (step @p310 :rule refl :args (@t405)) % 77.34/77.58 (step @p311 :rule refl :args (@t406)) % 77.34/77.58 (step @p312 :rule refl :args (@t407)) % 77.34/77.58 (step @p313 :rule refl :args (@t385)) % 77.34/77.58 (step @p314 :rule eq-refl :args (@t1)) % 77.34/77.58 (step @p315 :rule cong :premises (@p314) :args (@t420)) % 77.34/77.58 (step @p316 :rule trans :premises (@p315 @p136)) % 77.34/77.58 (step @p317 :rule nary_cong :premises (@p289 @p316 @p313 @p312 @p311 @p310 @p309 @p308) :args (@t421)) % 77.34/77.58 (step @p318 :rule trans :premises (@p317 @p307)) % 77.34/77.58 (step @p319 :rule cong :premises (@p318) :args ((forall @t409 @t421))) % 77.34/77.58 (step @p320 :rule trans :premises (@p319 @p306)) % 77.34/77.58 (step @p321 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t424 @t206 @t423 @t407 @t406 @t405 @t422 @t402)) @t421))) % 77.34/77.58 (step @p322 :rule refl :args (@t402)) % 77.34/77.58 (step @p323 :rule refl :args (@t422)) % 77.34/77.58 (step @p324 :rule refl :args (@t405)) % 77.34/77.58 (step @p325 :rule refl :args (@t406)) % 77.34/77.58 (step @p326 :rule refl :args (@t407)) % 77.34/77.58 (step @p327 :rule refl :args (@t423)) % 77.34/77.58 (step @p328 :rule refl :args (@t206)) % 77.34/77.58 (step @p329 :rule refl :args (@t424)) % 77.34/77.58 (step @p330 :rule eq-symm :args (@t1 @t10)) % 77.34/77.58 (step @p331 :rule cong :premises (@p330) :args (@t206)) % 77.34/77.58 (step @p332 :rule nary_cong :premises (@p331 @p329 @p328 @p327 @p326 @p325 @p324 @p323 @p322) :args (@t425)) % 77.34/77.58 (step @p333 :rule aci_norm :args ((= @t426 @t425))) % 77.34/77.58 (step @p334 :rule trans :premises (@p333 @p332)) % 77.34/77.58 (step @p335 :rule cong :premises (@p334) :args (@t427)) % 77.34/77.58 (step @p336 :rule trans :premises (@p335 @p321)) % 77.34/77.58 (step @p337 :rule cong :premises (@p336) :args (@t428)) % 77.34/77.58 (step @p338 :rule quant-merge-prenex :args ((= @t428 @t429))) % 77.34/77.58 (step @p339 :rule symm :premises (@p338)) % 77.34/77.58 (step @p340 :rule quant_var_reordering :args ((= (forall @t430 @t426) @t429))) % 77.34/77.58 (step @p341 :rule trans :premises (@p340 @p339 @p337)) % 77.34/77.58 (step @p342 :rule trans :premises (@p341 @p320)) % 77.34/77.58 (step @p343 :rule refl :args (@t422)) % 77.34/77.58 (step @p344 :rule eq-symm :args (@t399 @t241)) % 77.34/77.58 (step @p345 :rule cong :premises (@p344) :args (@t431)) % 77.34/77.58 (step @p346 :rule refl :args (@t382)) % 77.34/77.58 (step @p347 :rule nary_cong :premises (@p127 @p126 @p125 @p124 @p346 @p121 @p345) :args (@t432)) % 77.34/77.58 (step @p348 :rule cong :premises (@p347) :args (@t433)) % 77.34/77.58 (step @p349 :rule cong :premises (@p348) :args (@t434)) % 77.34/77.58 (step @p350 :rule refl :args (@t423)) % 77.34/77.58 (step @p351 :rule refl :args (@t206)) % 77.34/77.58 (step @p352 :rule refl :args (@t424)) % 77.34/77.58 (step @p353 :rule nary_cong :premises (@p352 @p351 @p350 @p312 @p349 @p310 @p343 @p308) :args (@t435)) % 77.34/77.58 (step @p354 :rule aci_norm :args ((= @t437 @t435))) % 77.34/77.58 (step @p355 :rule trans :premises (@p354 @p353)) % 77.34/77.58 (step @p356 :rule cong :premises (@p355) :args (@t438)) % 77.34/77.58 (step @p357 :rule trans :premises (@p356 @p342)) % 77.34/77.58 (step @p358 :rule quant-merge-prenex :args ((= (forall @t14 @t439) @t438))) % 77.34/77.58 (step @p359 :rule alpha_equiv :args (@t440 @t400 (@list @t28 @t441))) % 77.34/77.58 (step @p360 :rule nary_cong :premises (@p329 @p328 @p327 @p359) :args (@t442)) % 77.34/77.58 (step @p361 :rule quant-miniscope-or :args ((= @t439 @t442))) % 77.34/77.58 (step @p362 :rule trans :premises (@p361 @p360)) % 77.34/77.58 (step @p363 :rule symm :premises (@p362)) % 77.34/77.58 (step @p364 :rule cong :premises (@p363) :args (@t452)) % 77.34/77.58 (step @p365 :rule trans :premises (@p364 @p358)) % 77.34/77.58 (step @p366 :rule trans :premises (@p365 @p357)) % 77.34/77.58 (step @p367 :rule refl :args (@t196)) % 77.34/77.58 (step @p368 :rule refl :args (@t205)) % 77.34/77.58 (step @p369 :rule nary_cong :premises (@p368 @p223 @p367 @p366) :args (@t453)) % 77.34/77.58 (step @p370 :rule trans :premises (@p369 @p302)) % 77.34/77.58 (step @p371 :rule quant-miniscope-or :args ((= (forall @t14 @t454) @t453))) % 77.34/77.58 (step @p372 :rule aci_norm :args ((= @t455 @t454))) % 77.34/77.58 (step @p373 :rule cong :premises (@p372) :args ((forall @t14 @t455))) % 77.34/77.58 (step @p374 :rule trans :premises (@p373 @p371)) % 77.34/77.58 (step @p375 :rule trans :premises (@p374 @p370)) % 77.34/77.58 (step @p376 :rule aci_norm :args ((= (or @t424 @t456) @t455))) % 77.34/77.58 (step @p377 :rule bool-impl-elim :args (@t13 @t456)) % 77.34/77.58 (step @p378 :rule trans :premises (@p377 @p376)) % 77.34/77.58 (step @p379 :rule cong :premises (@p378) :args ((forall @t14 (=> @t13 @t456)))) % 77.34/77.58 (step @p380 :rule trans :premises (@p379 @p375)) % 77.34/77.58 (step @p381 :rule aci_norm :args ((= (or @t206 @t205 (or @t196 @t450) @t332 @t423) @t456))) % 77.34/77.58 (step @p382 :rule eq-symm :args (tptp.nil @t12)) % 77.34/77.58 (step @p383 :rule eq-symm :args (tptp.nil @t10)) % 77.34/77.58 (step @p384 :rule cong :premises (@p383) :args (@t111)) % 77.34/77.58 (step @p385 :rule nary_cong :premises (@p384 @p382) :args (@t112)) % 77.34/77.58 (step @p386 :rule aci_norm :args ((= @t458 @t330))) % 77.34/77.58 (step @p387 :rule cong :premises (@p386) :args (@t459)) % 77.34/77.58 (step @p388 :rule quant-merge-prenex :args ((= (forall @t144 @t461) @t459))) % 77.34/77.58 (step @p389 :rule alpha_equiv :args (@t462 (@list @t311 @t310 @t309 @t308) (@list @t114 @t465 @t464 @t463))) % 77.34/77.58 (step @p390 :rule refl :args (@t329)) % 77.34/77.58 (step @p391 :rule nary_cong :premises (@p390 @p389) :args (@t466)) % 77.34/77.58 (step @p392 :rule quant-miniscope-or :args ((= @t461 @t466))) % 77.34/77.58 (step @p393 :rule trans :premises (@p392 @p391)) % 77.34/77.58 (step @p394 :rule symm :premises (@p393)) % 77.34/77.58 (step @p395 :rule cong :premises (@p394) :args ((forall @t144 (or @t329 @t474)))) % 77.34/77.58 (step @p396 :rule trans :premises (@p395 @p388)) % 77.34/77.58 (step @p397 :rule trans :premises (@p396 @p387)) % 77.34/77.58 (step @p398 :rule bool-impl-elim :args (@t142 @t474)) % 77.34/77.58 (step @p399 :rule cong :premises (@p398) :args ((forall @t144 (=> @t142 @t474)))) % 77.34/77.58 (step @p400 :rule trans :premises (@p399 @p397)) % 77.34/77.58 (step @p401 :rule aci_norm :args ((= @t476 @t472))) % 77.34/77.58 (step @p402 :rule cong :premises (@p401) :args (@t477)) % 77.34/77.58 (step @p403 :rule quant-merge-prenex :args ((= (forall @t140 @t479) @t477))) % 77.34/77.58 (step @p404 :rule alpha_equiv :args (@t480 (@list @t465 @t464 @t463) (@list @t120 @t482 @t481))) % 77.34/77.58 (step @p405 :rule refl :args (@t115)) % 77.34/77.58 (step @p406 :rule refl :args (@t471)) % 77.34/77.58 (step @p407 :rule nary_cong :premises (@p406 @p405 @p404) :args (@t483)) % 77.34/77.58 (step @p408 :rule quant-miniscope-or :args ((= @t479 @t483))) % 77.34/77.58 (step @p409 :rule trans :premises (@p408 @p407)) % 77.34/77.58 (step @p410 :rule symm :premises (@p409)) % 77.34/77.58 (step @p411 :rule cong :premises (@p410) :args ((forall @t140 @t491))) % 77.34/77.58 (step @p412 :rule trans :premises (@p411 @p403)) % 77.34/77.58 (step @p413 :rule trans :premises (@p412 @p402)) % 77.34/77.58 (step @p414 :rule aci_norm :args ((= (or @t471 @t492) @t491))) % 77.34/77.58 (step @p415 :rule bool-impl-elim :args (@t138 @t492)) % 77.34/77.58 (step @p416 :rule trans :premises (@p415 @p414)) % 77.34/77.58 (step @p417 :rule cong :premises (@p416) :args ((forall @t140 (=> @t138 @t492)))) % 77.34/77.58 (step @p418 :rule trans :premises (@p417 @p413)) % 77.34/77.58 (step @p419 :rule aci_norm :args ((= @t494 @t488))) % 77.34/77.58 (step @p420 :rule cong :premises (@p419) :args (@t495)) % 77.34/77.58 (step @p421 :rule quant-merge-prenex :args ((= (forall @t136 @t497) @t495))) % 77.34/77.58 (step @p422 :rule alpha_equiv :args (@t498 (@list @t482 @t481) (@list @t118 @t499))) % 77.34/77.58 (step @p423 :rule refl :args (@t487)) % 77.34/77.58 (step @p424 :rule nary_cong :premises (@p423 @p422) :args (@t500)) % 77.34/77.58 (step @p425 :rule quant-miniscope-or :args ((= @t497 @t500))) % 77.34/77.58 (step @p426 :rule trans :premises (@p425 @p424)) % 77.34/77.58 (step @p427 :rule symm :premises (@p426)) % 77.34/77.58 (step @p428 :rule cong :premises (@p427) :args (@t508)) % 77.34/77.58 (step @p429 :rule trans :premises (@p428 @p421)) % 77.34/77.58 (step @p430 :rule trans :premises (@p429 @p420)) % 77.34/77.58 (step @p431 :rule refl :args (@t115)) % 77.34/77.58 (step @p432 :rule nary_cong :premises (@p431 @p430) :args (@t509)) % 77.34/77.58 (step @p433 :rule quant-miniscope-or :args ((= (forall @t136 @t510) @t509))) % 77.34/77.58 (step @p434 :rule aci_norm :args ((= @t511 @t510))) % 77.34/77.58 (step @p435 :rule cong :premises (@p434) :args ((forall @t136 @t511))) % 77.34/77.58 (step @p436 :rule trans :premises (@p435 @p433)) % 77.34/77.58 (step @p437 :rule trans :premises (@p436 @p432)) % 77.34/77.58 (step @p438 :rule aci_norm :args ((= (or @t487 @t512) @t511))) % 77.34/77.58 (step @p439 :rule bool-impl-elim :args (@t134 @t512)) % 77.34/77.58 (step @p440 :rule trans :premises (@p439 @p438)) % 77.34/77.58 (step @p441 :rule cong :premises (@p440) :args ((forall @t136 (=> @t134 @t512)))) % 77.34/77.58 (step @p442 :rule trans :premises (@p441 @p437)) % 77.34/77.58 (step @p443 :rule aci_norm :args ((= @t514 @t504))) % 77.34/77.58 (step @p444 :rule cong :premises (@p443) :args (@t515)) % 77.34/77.58 (step @p445 :rule quant-merge-prenex :args ((= (forall @t132 @t517) @t515))) % 77.34/77.58 (step @p446 :rule alpha_equiv :args (@t518 (@list @t499) (@list @t116))) % 77.34/77.58 (step @p447 :rule refl :args (@t503)) % 77.34/77.58 (step @p448 :rule nary_cong :premises (@p447 @p446) :args (@t519)) % 77.34/77.58 (step @p449 :rule quant-miniscope-or :args ((= @t517 @t519))) % 77.34/77.58 (step @p450 :rule trans :premises (@p449 @p448)) % 77.34/77.58 (step @p451 :rule symm :premises (@p450)) % 77.34/77.58 (step @p452 :rule cong :premises (@p451) :args (@t525)) % 77.34/77.58 (step @p453 :rule trans :premises (@p452 @p445)) % 77.34/77.58 (step @p454 :rule trans :premises (@p453 @p444)) % 77.34/77.58 (step @p455 :rule nary_cong :premises (@p431 @p454) :args (@t526)) % 77.34/77.58 (step @p456 :rule quant-miniscope-or :args ((= (forall @t132 @t527) @t526))) % 77.34/77.58 (step @p457 :rule aci_norm :args ((= @t528 @t527))) % 77.34/77.58 (step @p458 :rule cong :premises (@p457) :args ((forall @t132 @t528))) % 77.34/77.58 (step @p459 :rule trans :premises (@p458 @p456)) % 77.34/77.58 (step @p460 :rule trans :premises (@p459 @p455)) % 77.34/77.58 (step @p461 :rule aci_norm :args ((= (or @t503 @t529) @t528))) % 77.34/77.58 (step @p462 :rule bool-impl-elim :args (@t130 @t529)) % 77.34/77.58 (step @p463 :rule trans :premises (@p462 @p461)) % 77.34/77.58 (step @p464 :rule cong :premises (@p463) :args ((forall @t132 (=> @t130 @t529)))) % 77.34/77.58 (step @p465 :rule trans :premises (@p464 @p460)) % 77.34/77.58 (step @p466 :rule quant-miniscope-or :args ((= (forall @t128 @t530) @t529))) % 77.34/77.58 (step @p467 :rule aci_norm :args ((= @t531 @t530))) % 77.34/77.58 (step @p468 :rule cong :premises (@p467) :args ((forall @t128 @t531))) % 77.34/77.58 (step @p469 :rule trans :premises (@p468 @p466)) % 77.34/77.58 (step @p470 :rule aci_norm :args ((= (or @t521 @t532) @t531))) % 77.34/77.58 (step @p471 :rule bool-impl-elim :args (@t126 @t532)) % 77.34/77.58 (step @p472 :rule trans :premises (@p471 @p470)) % 77.34/77.58 (step @p473 :rule cong :premises (@p472) :args ((forall @t128 (=> @t126 @t532)))) % 77.34/77.58 (step @p474 :rule trans :premises (@p473 @p469)) % 77.34/77.58 (step @p475 :rule eq-symm :args (@t123 @t2)) % 77.34/77.58 (step @p476 :rule cong :premises (@p475) :args (@t124)) % 77.34/77.58 (step @p477 :rule nary_cong :premises (@p476 @p431) :args (@t125)) % 77.34/77.58 (step @p478 :rule refl :args (@t126)) % 77.34/77.58 (step @p479 :rule cong :premises (@p478 @p477) :args (@t127)) % 77.34/77.58 (step @p480 :rule cong :premises (@p479) :args (@t129)) % 77.34/77.58 (step @p481 :rule trans :premises (@p480 @p474)) % 77.34/77.58 (step @p482 :rule refl :args (@t130)) % 77.34/77.58 (step @p483 :rule cong :premises (@p482 @p481) :args (@t131)) % 77.34/77.58 (step @p484 :rule cong :premises (@p483) :args (@t133)) % 77.34/77.58 (step @p485 :rule trans :premises (@p484 @p465)) % 77.34/77.58 (step @p486 :rule refl :args (@t134)) % 77.34/77.58 (step @p487 :rule cong :premises (@p486 @p485) :args (@t135)) % 77.34/77.58 (step @p488 :rule cong :premises (@p487) :args (@t137)) % 77.34/77.58 (step @p489 :rule trans :premises (@p488 @p442)) % 77.34/77.58 (step @p490 :rule refl :args (@t138)) % 77.34/77.58 (step @p491 :rule cong :premises (@p490 @p489) :args (@t139)) % 77.34/77.58 (step @p492 :rule cong :premises (@p491) :args (@t141)) % 77.34/77.58 (step @p493 :rule trans :premises (@p492 @p418)) % 77.34/77.58 (step @p494 :rule refl :args (@t142)) % 77.34/77.58 (step @p495 :rule cong :premises (@p494 @p493) :args (@t143)) % 77.34/77.58 (step @p496 :rule cong :premises (@p495) :args (@t145)) % 77.34/77.58 (step @p497 :rule trans :premises (@p496 @p400)) % 77.34/77.58 (step @p498 :rule eq-symm :args (@t441 @t220)) % 77.34/77.58 (step @p499 :rule cong :premises (@p498) :args (@t533)) % 77.34/77.58 (step @p500 :rule refl :args (@t379)) % 77.34/77.58 (step @p501 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p500 @p109 @p499) :args (@t534)) % 77.34/77.58 (step @p502 :rule cong :premises (@p501) :args (@t535)) % 77.34/77.58 (step @p503 :rule cong :premises (@p502) :args (@t536)) % 77.34/77.58 (step @p504 :rule refl :args (@t443)) % 77.34/77.58 (step @p505 :rule refl :args (@t444)) % 77.34/77.58 (step @p506 :rule refl :args (@t447)) % 77.34/77.58 (step @p507 :rule refl :args (@t448)) % 77.34/77.58 (step @p508 :rule nary_cong :premises (@p507 @p506 @p505 @p504 @p503) :args (@t537)) % 77.34/77.58 (step @p509 :rule aci_norm :args ((= @t539 @t537))) % 77.34/77.58 (step @p510 :rule trans :premises (@p509 @p508)) % 77.34/77.58 (step @p511 :rule cong :premises (@p510) :args (@t540)) % 77.34/77.58 (step @p512 :rule quant-merge-prenex :args ((= (forall @t35 @t542) @t540))) % 77.34/77.58 (step @p513 :rule alpha_equiv :args (@t543 (@list @t441) @t544)) % 77.34/77.58 (step @p514 :rule refl :args (@t447)) % 77.34/77.58 (step @p515 :rule refl :args (@t448)) % 77.34/77.58 (step @p516 :rule nary_cong :premises (@p515 @p514 @p513) :args (@t545)) % 77.34/77.58 (step @p517 :rule quant-miniscope-or :args ((= @t542 @t545))) % 77.34/77.58 (step @p518 :rule trans :premises (@p517 @p516)) % 77.34/77.58 (step @p519 :rule symm :premises (@p518)) % 77.34/77.58 (step @p520 :rule cong :premises (@p519) :args (@t554)) % 77.34/77.58 (step @p521 :rule trans :premises (@p520 @p512)) % 77.34/77.58 (step @p522 :rule trans :premises (@p521 @p511)) % 77.34/77.58 (step @p523 :rule nary_cong :premises (@p367 @p522) :args (@t555)) % 77.34/77.58 (step @p524 :rule quant-miniscope-or :args ((= (forall @t35 @t556) @t555))) % 77.34/77.58 (step @p525 :rule aci_norm :args ((= @t557 @t556))) % 77.34/77.58 (step @p526 :rule cong :premises (@p525) :args ((forall @t35 @t557))) % 77.34/77.58 (step @p527 :rule trans :premises (@p526 @p524)) % 77.34/77.58 (step @p528 :rule trans :premises (@p527 @p523)) % 77.34/77.58 (step @p529 :rule aci_norm :args ((= (or @t448 @t558) @t557))) % 77.34/77.58 (step @p530 :rule bool-impl-elim :args (@t34 @t558)) % 77.34/77.58 (step @p531 :rule trans :premises (@p530 @p529)) % 77.34/77.58 (step @p532 :rule cong :premises (@p531) :args ((forall @t35 (=> @t34 @t558)))) % 77.34/77.58 (step @p533 :rule trans :premises (@p532 @p528)) % 77.34/77.58 (step @p534 :rule quant-miniscope-or :args ((= (forall @t33 @t559) @t558))) % 77.34/77.58 (step @p535 :rule aci_norm :args ((= @t560 @t559))) % 77.34/77.58 (step @p536 :rule cong :premises (@p535) :args ((forall @t33 @t560))) % 77.34/77.58 (step @p537 :rule trans :premises (@p536 @p534)) % 77.34/77.58 (step @p538 :rule aci_norm :args ((= (or @t550 @t561) @t560))) % 77.34/77.58 (step @p539 :rule bool-impl-elim :args (@t32 @t561)) % 77.34/77.58 (step @p540 :rule trans :premises (@p539 @p538)) % 77.34/77.58 (step @p541 :rule cong :premises (@p540) :args ((forall @t33 (=> @t32 @t561)))) % 77.34/77.58 (step @p542 :rule trans :premises (@p541 @p537)) % 77.34/77.58 (step @p543 :rule aci_norm :args ((= @t564 @t547))) % 77.34/77.58 (step @p544 :rule cong :premises (@p543) :args (@t565)) % 77.34/77.58 (step @p545 :rule quant-merge-prenex :args ((= (forall @t169 @t566) @t565))) % 77.34/77.58 (step @p546 :rule alpha_equiv :args (@t567 (@list @t219) (@list @t160))) % 77.34/77.58 (step @p547 :rule alpha_equiv :args (@t568 (@list @t229 @t230) (@list @t147 @t569))) % 77.34/77.58 (step @p548 :rule refl :args (@t235)) % 77.34/77.58 (step @p549 :rule nary_cong :premises (@p548 @p547 @p546) :args (@t570)) % 77.34/77.58 (step @p550 :rule quant-miniscope-or :args ((= @t566 @t570))) % 77.34/77.58 (step @p551 :rule trans :premises (@p550 @p549)) % 77.34/77.58 (step @p552 :rule symm :premises (@p551)) % 77.34/77.58 (step @p553 :rule cong :premises (@p552) :args ((forall @t169 @t583))) % 77.34/77.58 (step @p554 :rule trans :premises (@p553 @p545)) % 77.34/77.58 (step @p555 :rule trans :premises (@p554 @p544)) % 77.34/77.58 (step @p556 :rule aci_norm :args ((= (or @t235 @t584) @t583))) % 77.34/77.58 (step @p557 :rule bool-double-not-elim :args (@t584)) % 77.34/77.58 (step @p558 :rule nary_cong :premises (@p548 @p557) :args ((or @t235 (not @t585)))) % 77.34/77.58 (step @p559 :rule bool-and-de-morgan :args (@t167 @t585 true)) % 77.34/77.58 (step @p560 :rule trans :premises (@p559 @p558)) % 77.34/77.58 (step @p561 :rule trans :premises (@p560 @p556)) % 77.34/77.58 (step @p562 :rule cong :premises (@p561) :args (@t587)) % 77.34/77.58 (step @p563 :rule trans :premises (@p562 @p555)) % 77.34/77.58 (step @p564 :rule cong :premises (@p563) :args (@t588)) % 77.34/77.58 (step @p565 :rule exists-elim :args ((= (exists @t169 @t586) @t588))) % 77.34/77.58 (step @p566 :rule trans :premises (@p565 @p564)) % 77.34/77.58 (step @p567 :rule quant-miniscope-or :args ((= (forall @t165 @t589) @t584))) % 77.34/77.58 (step @p568 :rule aci_norm :args ((= @t590 @t589))) % 77.34/77.58 (step @p569 :rule cong :premises (@p568) :args ((forall @t165 @t590))) % 77.34/77.58 (step @p570 :rule trans :premises (@p569 @p567)) % 77.34/77.58 (step @p571 :rule bool-double-not-elim :args (@t582)) % 77.34/77.58 (step @p572 :rule refl :args (@t572)) % 77.34/77.58 (step @p573 :rule refl :args (@t573)) % 77.34/77.58 (step @p574 :rule nary_cong :premises (@p573 @p572 @p571) :args (@t593)) % 77.34/77.58 (step @p575 :rule aci_norm :args ((= (or @t573 (or @t572 @t592)) @t593))) % 77.34/77.58 (step @p576 :rule trans :premises (@p575 @p574)) % 77.34/77.58 (step @p577 :rule bool-and-de-morgan :args (@t571 @t591 true)) % 77.34/77.58 (step @p578 :rule nary_cong :premises (@p573 @p577) :args ((or @t573 (not (and @t571 @t591))))) % 77.34/77.58 (step @p579 :rule bool-and-de-morgan :args (@t163 @t571 (and @t591))) % 77.34/77.58 (step @p580 :rule trans :premises (@p579 @p578)) % 77.34/77.58 (step @p581 :rule trans :premises (@p580 @p576)) % 77.34/77.58 (step @p582 :rule cong :premises (@p581) :args (@t595)) % 77.34/77.58 (step @p583 :rule trans :premises (@p582 @p570)) % 77.34/77.58 (step @p584 :rule cong :premises (@p583) :args (@t596)) % 77.34/77.58 (step @p585 :rule exists-elim :args ((= (exists @t165 @t594) @t596))) % 77.34/77.58 (step @p586 :rule trans :premises (@p585 @p584)) % 77.34/77.58 (step @p587 :rule aci_norm :args ((= @t598 @t580))) % 77.34/77.58 (step @p588 :rule cong :premises (@p587) :args (@t599)) % 77.34/77.58 (step @p589 :rule quant-merge-prenex :args ((= (forall @t158 @t601) @t599))) % 77.34/77.58 (step @p590 :rule alpha_equiv :args (@t602 (@list @t569) (@list @t150))) % 77.34/77.58 (step @p591 :rule refl :args (@t578)) % 77.34/77.58 (step @p592 :rule refl :args (@t579)) % 77.34/77.58 (step @p593 :rule nary_cong :premises (@p592 @p591 @p590) :args (@t603)) % 77.34/77.58 (step @p594 :rule quant-miniscope-or :args ((= @t601 @t603))) % 77.34/77.58 (step @p595 :rule trans :premises (@p594 @p593)) % 77.34/77.58 (step @p596 :rule symm :premises (@p595)) % 77.34/77.58 (step @p597 :rule cong :premises (@p596) :args ((forall @t158 @t609))) % 77.34/77.58 (step @p598 :rule trans :premises (@p597 @p589)) % 77.34/77.58 (step @p599 :rule trans :premises (@p598 @p588)) % 77.34/77.58 (step @p600 :rule aci_norm :args ((= (or @t579 @t610) @t609))) % 77.34/77.58 (step @p601 :rule bool-double-not-elim :args (@t610)) % 77.34/77.58 (step @p602 :rule nary_cong :premises (@p592 @p601) :args ((or @t579 (not @t611)))) % 77.34/77.58 (step @p603 :rule bool-and-de-morgan :args (@t156 @t611 true)) % 77.34/77.58 (step @p604 :rule trans :premises (@p603 @p602)) % 77.34/77.58 (step @p605 :rule trans :premises (@p604 @p600)) % 77.34/77.58 (step @p606 :rule cong :premises (@p605) :args (@t613)) % 77.34/77.58 (step @p607 :rule trans :premises (@p606 @p599)) % 77.34/77.58 (step @p608 :rule cong :premises (@p607) :args (@t614)) % 77.34/77.58 (step @p609 :rule exists-elim :args ((= (exists @t158 @t612) @t614))) % 77.34/77.58 (step @p610 :rule trans :premises (@p609 @p608)) % 77.34/77.58 (step @p611 :rule quant-miniscope-or :args ((= (forall @t154 @t615) @t610))) % 77.34/77.58 (step @p612 :rule aci_norm :args ((= @t616 @t615))) % 77.34/77.58 (step @p613 :rule cong :premises (@p612) :args ((forall @t154 @t616))) % 77.34/77.58 (step @p614 :rule trans :premises (@p613 @p611)) % 77.34/77.58 (step @p615 :rule aci_norm :args ((= (or @t606 (or @t605 @t578)) @t616))) % 77.34/77.58 (step @p616 :rule bool-and-de-morgan :args (@t604 @t148 true)) % 77.34/77.58 (step @p617 :rule refl :args (@t606)) % 77.34/77.58 (step @p618 :rule nary_cong :premises (@p617 @p616) :args ((or @t606 (not (and @t604 @t148))))) % 77.34/77.58 (step @p619 :rule bool-and-de-morgan :args (@t152 @t604 (and @t148))) % 77.34/77.58 (step @p620 :rule trans :premises (@p619 @p618)) % 77.34/77.58 (step @p621 :rule trans :premises (@p620 @p615)) % 77.34/77.58 (step @p622 :rule cong :premises (@p621) :args (@t618)) % 77.34/77.58 (step @p623 :rule trans :premises (@p622 @p614)) % 77.34/77.58 (step @p624 :rule cong :premises (@p623) :args (@t619)) % 77.34/77.58 (step @p625 :rule exists-elim :args ((= (exists @t154 @t617) @t619))) % 77.34/77.58 (step @p626 :rule trans :premises (@p625 @p624)) % 77.34/77.58 (step @p627 :rule refl :args (@t148)) % 77.34/77.58 (step @p628 :rule eq-symm :args (@t151 @t12)) % 77.34/77.58 (step @p629 :rule refl :args (@t152)) % 77.34/77.58 (step @p630 :rule nary_cong :premises (@p629 @p628 @p627) :args (@t153)) % 77.34/77.58 (step @p631 :rule cong :premises (@p630) :args (@t155)) % 77.34/77.58 (step @p632 :rule trans :premises (@p631 @p626)) % 77.34/77.58 (step @p633 :rule refl :args (@t156)) % 77.34/77.58 (step @p634 :rule nary_cong :premises (@p633 @p632) :args (@t157)) % 77.34/77.58 (step @p635 :rule cong :premises (@p634) :args (@t159)) % 77.34/77.58 (step @p636 :rule trans :premises (@p635 @p610)) % 77.34/77.58 (step @p637 :rule eq-symm :args (@t162 @t27)) % 77.34/77.58 (step @p638 :rule refl :args (@t163)) % 77.34/77.58 (step @p639 :rule nary_cong :premises (@p638 @p637 @p636) :args (@t164)) % 77.34/77.58 (step @p640 :rule cong :premises (@p639) :args (@t166)) % 77.34/77.58 (step @p641 :rule trans :premises (@p640 @p586)) % 77.34/77.58 (step @p642 :rule refl :args (@t167)) % 77.34/77.58 (step @p643 :rule nary_cong :premises (@p642 @p641) :args (@t168)) % 77.34/77.58 (step @p644 :rule cong :premises (@p643) :args (@t170)) % 77.34/77.58 (step @p645 :rule trans :premises (@p644 @p566)) % 77.34/77.58 (step @p646 :rule aci_norm :args ((= @t622 @t446))) % 77.34/77.58 (step @p647 :rule cong :premises (@p646) :args (@t623)) % 77.34/77.58 (step @p648 :rule quant-merge-prenex :args ((= (forall @t194 @t624) @t623))) % 77.34/77.58 (step @p649 :rule alpha_equiv :args (@t625 (@list @t240) (@list @t186))) % 77.34/77.58 (step @p650 :rule alpha_equiv :args (@t626 (@list @t245 @t244) (@list @t171 @t627))) % 77.34/77.58 (step @p651 :rule refl :args (@t250)) % 77.34/77.58 (step @p652 :rule nary_cong :premises (@p651 @p650 @p649) :args (@t628)) % 77.34/77.58 (step @p653 :rule quant-miniscope-or :args ((= @t624 @t628))) % 77.34/77.58 (step @p654 :rule trans :premises (@p653 @p652)) % 77.34/77.58 (step @p655 :rule symm :premises (@p654)) % 77.34/77.58 (step @p656 :rule cong :premises (@p655) :args ((forall @t194 @t641))) % 77.34/77.58 (step @p657 :rule trans :premises (@p656 @p648)) % 77.34/77.58 (step @p658 :rule trans :premises (@p657 @p647)) % 77.34/77.58 (step @p659 :rule aci_norm :args ((= (or @t250 @t642) @t641))) % 77.34/77.58 (step @p660 :rule bool-double-not-elim :args (@t642)) % 77.34/77.58 (step @p661 :rule nary_cong :premises (@p651 @p660) :args ((or @t250 (not @t643)))) % 77.34/77.58 (step @p662 :rule bool-and-de-morgan :args (@t192 @t643 true)) % 77.34/77.58 (step @p663 :rule trans :premises (@p662 @p661)) % 77.34/77.58 (step @p664 :rule trans :premises (@p663 @p659)) % 77.34/77.58 (step @p665 :rule cong :premises (@p664) :args (@t645)) % 77.34/77.58 (step @p666 :rule trans :premises (@p665 @p658)) % 77.34/77.58 (step @p667 :rule cong :premises (@p666) :args (@t646)) % 77.34/77.58 (step @p668 :rule exists-elim :args ((= (exists @t194 @t644) @t646))) % 77.34/77.58 (step @p669 :rule trans :premises (@p668 @p667)) % 77.34/77.58 (step @p670 :rule quant-miniscope-or :args ((= (forall @t190 @t647) @t642))) % 77.34/77.58 (step @p671 :rule aci_norm :args ((= @t648 @t647))) % 77.34/77.58 (step @p672 :rule cong :premises (@p671) :args ((forall @t190 @t648))) % 77.34/77.58 (step @p673 :rule trans :premises (@p672 @p670)) % 77.34/77.58 (step @p674 :rule bool-double-not-elim :args (@t640)) % 77.34/77.58 (step @p675 :rule refl :args (@t630)) % 77.34/77.58 (step @p676 :rule refl :args (@t631)) % 77.34/77.58 (step @p677 :rule nary_cong :premises (@p676 @p675 @p674) :args (@t651)) % 77.34/77.58 (step @p678 :rule aci_norm :args ((= (or @t631 (or @t630 @t650)) @t651))) % 77.34/77.58 (step @p679 :rule trans :premises (@p678 @p677)) % 77.34/77.58 (step @p680 :rule bool-and-de-morgan :args (@t629 @t649 true)) % 77.34/77.58 (step @p681 :rule nary_cong :premises (@p676 @p680) :args ((or @t631 (not (and @t629 @t649))))) % 77.34/77.58 (step @p682 :rule bool-and-de-morgan :args (@t188 @t629 (and @t649))) % 77.34/77.58 (step @p683 :rule trans :premises (@p682 @p681)) % 77.34/77.58 (step @p684 :rule trans :premises (@p683 @p679)) % 77.34/77.58 (step @p685 :rule cong :premises (@p684) :args (@t653)) % 77.34/77.58 (step @p686 :rule trans :premises (@p685 @p673)) % 77.34/77.58 (step @p687 :rule cong :premises (@p686) :args (@t654)) % 77.34/77.58 (step @p688 :rule exists-elim :args ((= (exists @t190 @t652) @t654))) % 77.34/77.58 (step @p689 :rule trans :premises (@p688 @p687)) % 77.34/77.58 (step @p690 :rule aci_norm :args ((= @t656 @t638))) % 77.34/77.58 (step @p691 :rule cong :premises (@p690) :args (@t657)) % 77.34/77.58 (step @p692 :rule quant-merge-prenex :args ((= (forall @t183 @t659) @t657))) % 77.34/77.58 (step @p693 :rule alpha_equiv :args (@t660 (@list @t627) (@list @t174))) % 77.34/77.58 (step @p694 :rule refl :args (@t636)) % 77.34/77.58 (step @p695 :rule refl :args (@t637)) % 77.34/77.58 (step @p696 :rule nary_cong :premises (@p695 @p694 @p693) :args (@t661)) % 77.34/77.58 (step @p697 :rule quant-miniscope-or :args ((= @t659 @t661))) % 77.34/77.58 (step @p698 :rule trans :premises (@p697 @p696)) % 77.34/77.58 (step @p699 :rule symm :premises (@p698)) % 77.34/77.58 (step @p700 :rule cong :premises (@p699) :args ((forall @t183 @t667))) % 77.34/77.58 (step @p701 :rule trans :premises (@p700 @p692)) % 77.34/77.58 (step @p702 :rule trans :premises (@p701 @p691)) % 77.34/77.58 (step @p703 :rule aci_norm :args ((= (or @t637 @t668) @t667))) % 77.34/77.58 (step @p704 :rule bool-double-not-elim :args (@t668)) % 77.34/77.58 (step @p705 :rule nary_cong :premises (@p695 @p704) :args ((or @t637 (not @t669)))) % 77.34/77.58 (step @p706 :rule bool-and-de-morgan :args (@t181 @t669 true)) % 77.34/77.58 (step @p707 :rule trans :premises (@p706 @p705)) % 77.34/77.58 (step @p708 :rule trans :premises (@p707 @p703)) % 77.34/77.58 (step @p709 :rule cong :premises (@p708) :args (@t671)) % 77.34/77.58 (step @p710 :rule trans :premises (@p709 @p702)) % 77.34/77.58 (step @p711 :rule cong :premises (@p710) :args (@t672)) % 77.34/77.58 (step @p712 :rule exists-elim :args ((= (exists @t183 @t670) @t672))) % 77.34/77.58 (step @p713 :rule trans :premises (@p712 @p711)) % 77.34/77.58 (step @p714 :rule quant-miniscope-or :args ((= (forall @t179 @t673) @t668))) % 77.34/77.58 (step @p715 :rule aci_norm :args ((= @t674 @t673))) % 77.34/77.58 (step @p716 :rule cong :premises (@p715) :args ((forall @t179 @t674))) % 77.34/77.58 (step @p717 :rule trans :premises (@p716 @p714)) % 77.34/77.58 (step @p718 :rule aci_norm :args ((= (or @t664 (or @t663 @t636)) @t674))) % 77.34/77.58 (step @p719 :rule bool-and-de-morgan :args (@t662 @t173 true)) % 77.34/77.58 (step @p720 :rule refl :args (@t664)) % 77.34/77.58 (step @p721 :rule nary_cong :premises (@p720 @p719) :args ((or @t664 (not (and @t662 @t173))))) % 77.34/77.58 (step @p722 :rule bool-and-de-morgan :args (@t177 @t662 (and @t173))) % 77.34/77.58 (step @p723 :rule trans :premises (@p722 @p721)) % 77.34/77.58 (step @p724 :rule trans :premises (@p723 @p718)) % 77.34/77.58 (step @p725 :rule cong :premises (@p724) :args (@t676)) % 77.34/77.58 (step @p726 :rule trans :premises (@p725 @p717)) % 77.34/77.58 (step @p727 :rule cong :premises (@p726) :args (@t677)) % 77.34/77.58 (step @p728 :rule exists-elim :args ((= (exists @t179 @t675) @t677))) % 77.34/77.58 (step @p729 :rule trans :premises (@p728 @p727)) % 77.34/77.58 (step @p730 :rule refl :args (@t173)) % 77.34/77.58 (step @p731 :rule eq-symm :args (@t176 @t12)) % 77.34/77.58 (step @p732 :rule refl :args (@t177)) % 77.34/77.58 (step @p733 :rule nary_cong :premises (@p732 @p731 @p730) :args (@t178)) % 77.34/77.58 (step @p734 :rule cong :premises (@p733) :args (@t180)) % 77.34/77.58 (step @p735 :rule trans :premises (@p734 @p729)) % 77.34/77.58 (step @p736 :rule refl :args (@t181)) % 77.34/77.58 (step @p737 :rule nary_cong :premises (@p736 @p735) :args (@t182)) % 77.34/77.58 (step @p738 :rule cong :premises (@p737) :args (@t184)) % 77.34/77.58 (step @p739 :rule trans :premises (@p738 @p713)) % 77.34/77.58 (step @p740 :rule eq-symm :args (@t187 @t28)) % 77.34/77.58 (step @p741 :rule refl :args (@t188)) % 77.34/77.58 (step @p742 :rule nary_cong :premises (@p741 @p740 @p739) :args (@t189)) % 77.34/77.58 (step @p743 :rule cong :premises (@p742) :args (@t191)) % 77.34/77.58 (step @p744 :rule trans :premises (@p743 @p689)) % 77.34/77.58 (step @p745 :rule refl :args (@t192)) % 77.34/77.58 (step @p746 :rule nary_cong :premises (@p745 @p744) :args (@t193)) % 77.34/77.58 (step @p747 :rule cong :premises (@p746) :args (@t195)) % 77.34/77.58 (step @p748 :rule trans :premises (@p747 @p669)) % 77.34/77.58 (step @p749 :rule eq-symm :args (@t198 @t10)) % 77.34/77.58 (step @p750 :rule cong :premises (@p749) :args (@t199)) % 77.34/77.58 (step @p751 :rule nary_cong :premises (@p750 @p367 @p748 @p645) :args (@t200)) % 77.34/77.58 (step @p752 :rule refl :args (@t32)) % 77.34/77.58 (step @p753 :rule cong :premises (@p752 @p751) :args (@t201)) % 77.34/77.58 (step @p754 :rule cong :premises (@p753) :args (@t202)) % 77.34/77.58 (step @p755 :rule trans :premises (@p754 @p542)) % 77.34/77.58 (step @p756 :rule refl :args (@t34)) % 77.34/77.58 (step @p757 :rule cong :premises (@p756 @p755) :args (@t203)) % 77.34/77.58 (step @p758 :rule cong :premises (@p757) :args (@t204)) % 77.34/77.58 (step @p759 :rule trans :premises (@p758 @p533)) % 77.34/77.58 (step @p760 :rule nary_cong :premises (@p351 @p368 @p759 @p497 @p385) :args (@t207)) % 77.34/77.58 (step @p761 :rule trans :premises (@p760 @p381)) % 77.34/77.58 (step @p762 :rule refl :args (@t13)) % 77.34/77.58 (step @p763 :rule cong :premises (@p762 @p761) :args (@t208)) % 77.34/77.58 (step @p764 :rule cong :premises (@p763) :args (@t209)) % 77.34/77.58 (step @p765 :rule trans :premises (@p764 @p380)) % 77.34/77.58 (step @p766 :rule refl :args (@t15)) % 77.34/77.58 (step @p767 :rule cong :premises (@p766 @p765) :args (@t210)) % 77.34/77.58 (step @p768 :rule cong :premises (@p767) :args (@t211)) % 77.34/77.58 (step @p769 :rule trans :premises (@p768 @p301)) % 77.34/77.58 (step @p770 :rule refl :args (@t21)) % 77.34/77.58 (step @p771 :rule cong :premises (@p770 @p769) :args (@t212)) % 77.34/77.58 (step @p772 :rule cong :premises (@p771) :args (@t213)) % 77.34/77.58 (step @p773 :rule trans :premises (@p772 @p234)) % 77.34/77.58 (step @p774 :rule cong :premises (@p101 @p773) :args (@t214)) % 77.34/77.58 (step @p775 :rule cong :premises (@p774) :args (@t215)) % 77.34/77.58 (step @p776 :rule trans :premises (@p775 @p180)) % 77.34/77.58 (step @p777 :rule cong :premises (@p776) :args (@t216)) % 77.34/77.58 (step @p778 :rule eq_resolve :premises (@p96 @p777)) % 77.34/77.58 (step @p779 :rule skolemize :premises (@p778)) % 77.34/77.58 (step @p780 :rule bool-double-not-elim :args (@t678)) % 77.34/77.58 (step @p781 :rule refl :args (@t706)) % 77.34/77.58 (step @p782 :rule nary_cong :premises (@p781 @p780) :args ((or @t706 (not @t693)))) % 77.34/77.58 (step @p783 :rule cnf_or_neg :args (@t706 6)) % 77.34/77.58 (step @p784 :rule eq_resolve :premises (@p783 @p782)) % 77.34/77.58 (step @p785 :rule reordering :premises (@p784) :args ((or @t678 @t706))) % 77.34/77.58 (step @p786 :rule chain_m_resolution :premises (@p785 @p779) :args (@t678 @t707 @t708)) % 77.34/77.58 (step @p787 :rule cnf_or_pos :args (@t711)) % 77.34/77.58 (step @p788 :rule reordering :premises (@p787) :args ((or @t693 @t710 (not @t711)))) % 77.34/77.58 (step @p789 :rule chain_m_resolution :premises (@p788 @p786 @p106) :args (@t710 @t712 (@list @t678 @t711))) % 77.34/77.58 (step @p790 :rule instantiate :premises (@p105) :args ((@list @t680))) % 77.34/77.58 (step @p791 :rule bool-double-not-elim :args (@t691)) % 77.34/77.58 (step @p792 :rule nary_cong :premises (@p781 @p791) :args ((or @t706 (not @t692)))) % 77.34/77.58 (step @p793 :rule cnf_or_neg :args (@t706 7)) % 77.34/77.58 (step @p794 :rule eq_resolve :premises (@p793 @p792)) % 77.34/77.58 (step @p795 :rule reordering :premises (@p794) :args ((or @t691 @t706))) % 77.34/77.58 (step @p796 :rule chain_m_resolution :premises (@p795 @p779) :args (@t691 @t707 @t708)) % 77.34/77.58 (step @p797 :rule cnf_or_pos :args (@t715)) % 77.34/77.58 (step @p798 :rule reordering :premises (@p797) :args ((or @t692 @t714 (not @t715)))) % 77.34/77.58 (step @p799 :rule chain_m_resolution :premises (@p798 @p796 @p790) :args (@t714 @t712 (@list @t691 @t715))) % 77.34/77.58 (step @p800 :rule aci_norm :args ((= @t722 (or @t291 @t720 @t719 @t718)))) % 77.34/77.58 (step @p801 :rule cong :premises (@p800) :args (@t723)) % 77.34/77.58 (step @p802 :rule quant-merge-prenex :args ((= (forall @t9 @t725) @t723))) % 77.34/77.58 (step @p803 :rule alpha_equiv :args (@t726 (@list @t717 @t716) (@list @t1 @t727))) % 77.34/77.58 (step @p804 :rule nary_cong :premises (@p168 @p803) :args (@t728)) % 77.34/77.58 (step @p805 :rule quant-miniscope-or :args ((= @t725 @t728))) % 77.34/77.58 (step @p806 :rule trans :premises (@p805 @p804)) % 77.34/77.58 (step @p807 :rule symm :premises (@p806)) % 77.34/77.58 (step @p808 :rule cong :premises (@p807) :args ((forall @t9 (or @t291 @t733)))) % 77.34/77.58 (step @p809 :rule trans :premises (@p808 @p802)) % 77.34/77.58 (step @p810 :rule trans :premises (@p809 @p801)) % 77.34/77.58 (step @p811 :rule bool-impl-elim :args (@t17 @t733)) % 77.34/77.58 (step @p812 :rule cong :premises (@p811) :args ((forall @t9 (=> @t17 @t733)))) % 77.34/77.58 (step @p813 :rule trans :premises (@p812 @p810)) % 77.34/77.58 (step @p814 :rule aci_norm :args ((= @t735 @t731))) % 77.34/77.58 (step @p815 :rule cong :premises (@p814) :args (@t736)) % 77.34/77.58 (step @p816 :rule quant-merge-prenex :args ((= (forall @t7 @t738) @t736))) % 77.34/77.58 (step @p817 :rule alpha_equiv :args (@t739 (@list @t727) @t740)) % 77.34/77.58 (step @p818 :rule nary_cong :premises (@p213 @p817) :args (@t741)) % 77.34/77.58 (step @p819 :rule quant-miniscope-or :args ((= @t738 @t741))) % 77.34/77.58 (step @p820 :rule trans :premises (@p819 @p818)) % 77.34/77.58 (step @p821 :rule symm :premises (@p820)) % 77.34/77.58 (step @p822 :rule cong :premises (@p821) :args ((forall @t7 (or @t342 @t742)))) % 77.34/77.58 (step @p823 :rule trans :premises (@p822 @p816)) % 77.34/77.58 (step @p824 :rule trans :premises (@p823 @p815)) % 77.34/77.58 (step @p825 :rule bool-impl-elim :args (@t21 @t742)) % 77.34/77.58 (step @p826 :rule cong :premises (@p825) :args ((forall @t7 (=> @t21 @t742)))) % 77.34/77.58 (step @p827 :rule trans :premises (@p826 @p824)) % 77.34/77.58 (step @p828 :rule bool-impl-elim :args (@t15 @t101)) % 77.34/77.58 (step @p829 :rule cong :premises (@p828) :args (@t102)) % 77.34/77.58 (step @p830 :rule cong :premises (@p770 @p829) :args (@t103)) % 77.34/77.58 (step @p831 :rule cong :premises (@p830) :args (@t104)) % 77.34/77.58 (step @p832 :rule trans :premises (@p831 @p827)) % 77.34/77.58 (step @p833 :rule cong :premises (@p101 @p832) :args (@t105)) % 77.34/77.58 (step @p834 :rule cong :premises (@p833) :args (@t106)) % 77.34/77.58 (step @p835 :rule trans :premises (@p834 @p813)) % 77.34/77.58 (step @p836 :rule eq_resolve :premises (@p82 @p835)) % 77.34/77.58 (step @p837 :rule instantiate :premises (@p836) :args ((@list @t685 @t684 @t269))) % 77.34/77.58 (step @p838 :rule aci_norm :args ((= @t747 (or @t291 @t745 @t744)))) % 77.34/77.58 (step @p839 :rule cong :premises (@p838) :args (@t748)) % 77.34/77.58 (step @p840 :rule quant-merge-prenex :args ((= (forall @t9 @t750) @t748))) % 77.34/77.58 (step @p841 :rule alpha_equiv :args (@t751 (@list @t743) @t752)) % 77.34/77.58 (step @p842 :rule nary_cong :premises (@p168 @p841) :args (@t753)) % 77.34/77.58 (step @p843 :rule quant-miniscope-or :args ((= @t750 @t753))) % 77.34/77.58 (step @p844 :rule trans :premises (@p843 @p842)) % 77.34/77.58 (step @p845 :rule symm :premises (@p844)) % 77.34/77.58 (step @p846 :rule cong :premises (@p845) :args ((forall @t9 (or @t291 @t755)))) % 77.34/77.58 (step @p847 :rule trans :premises (@p846 @p840)) % 77.34/77.58 (step @p848 :rule trans :premises (@p847 @p839)) % 77.34/77.58 (step @p849 :rule bool-impl-elim :args (@t17 @t755)) % 77.34/77.58 (step @p850 :rule cong :premises (@p849) :args ((forall @t9 (=> @t17 @t755)))) % 77.34/77.58 (step @p851 :rule trans :premises (@p850 @p848)) % 77.34/77.58 (step @p852 :rule bool-impl-elim :args (@t6 @t55)) % 77.34/77.58 (step @p853 :rule cong :premises (@p852) :args (@t56)) % 77.34/77.58 (step @p854 :rule cong :premises (@p101 @p853) :args (@t57)) % 77.34/77.58 (step @p855 :rule cong :premises (@p854) :args (@t58)) % 77.34/77.58 (step @p856 :rule trans :premises (@p855 @p851)) % 77.34/77.58 (step @p857 :rule eq_resolve :premises (@p16 @p856)) % 77.34/77.58 (step @p858 :rule instantiate :premises (@p857) :args ((@list tptp.nil @t683))) % 77.34/77.58 (step @p859 :rule bool-double-not-elim :args (@t700)) % 77.34/77.58 (step @p860 :rule nary_cong :premises (@p781 @p859) :args ((or @t706 (not @t701)))) % 77.34/77.58 (step @p861 :rule cnf_or_neg :args (@t706 2)) % 77.34/77.58 (step @p862 :rule eq_resolve :premises (@p861 @p860)) % 77.34/77.58 (step @p863 :rule reordering :premises (@p862) :args ((or @t700 @t706))) % 77.34/77.58 (step @p864 :rule chain_m_resolution :premises (@p863 @p779) :args (@t700 @t707 @t708)) % 77.34/77.58 (step @p865 :rule cnf_or_pos :args (@t758)) % 77.34/77.58 (step @p866 :rule reordering :premises (@p865) :args ((or @t757 @t701 @t756 (not @t758)))) % 77.34/77.58 (step @p867 :rule chain_m_resolution :premises (@p866 @p17 @p864 @p858) :args (@t756 @t759 (@list @t59 @t700 @t758))) % 77.34/77.58 (step @p868 :rule bool-double-not-elim :args (@t694)) % 77.34/77.58 (step @p869 :rule nary_cong :premises (@p781 @p868) :args ((or @t706 (not @t695)))) % 77.34/77.58 (step @p870 :rule cnf_or_neg :args (@t706 5)) % 77.34/77.58 (step @p871 :rule eq_resolve :premises (@p870 @p869)) % 77.34/77.58 (step @p872 :rule reordering :premises (@p871) :args ((or @t694 @t706))) % 77.34/77.58 (step @p873 :rule chain_m_resolution :premises (@p872 @p779) :args (@t694 @t707 @t708)) % 77.34/77.58 (step @p874 :rule cnf_or_pos :args (@t764)) % 77.34/77.58 (step @p875 :rule reordering :premises (@p874) :args ((or @t695 @t693 @t763 @t762 (not @t764)))) % 77.34/77.58 (step @p876 :rule chain_m_resolution :premises (@p875 @p873 @p786 @p867 @p837) :args (@t762 @t765 (@list @t694 @t678 @t756 @t764))) % 77.34/77.58 (step @p877 :rule instantiate :premises (@p836) :args ((@list @t687 @t682 @t680))) % 77.34/77.58 (step @p878 :rule instantiate :premises (@p857) :args ((@list tptp.nil @t681))) % 77.34/77.58 (step @p879 :rule bool-double-not-elim :args (@t698)) % 77.34/77.58 (step @p880 :rule nary_cong :premises (@p781 @p879) :args ((or @t706 (not @t699)))) % 77.34/77.58 (step @p881 :rule cnf_or_neg :args (@t706 3)) % 77.34/77.58 (step @p882 :rule eq_resolve :premises (@p881 @p880)) % 77.34/77.58 (step @p883 :rule reordering :premises (@p882) :args ((or @t698 @t706))) % 77.34/77.58 (step @p884 :rule chain_m_resolution :premises (@p883 @p779) :args (@t698 @t707 @t708)) % 77.34/77.58 (step @p885 :rule cnf_or_pos :args (@t767)) % 77.34/77.58 (step @p886 :rule reordering :premises (@p885) :args ((or @t757 @t699 @t766 (not @t767)))) % 77.34/77.58 (step @p887 :rule chain_m_resolution :premises (@p886 @p17 @p884 @p878) :args (@t766 @t759 (@list @t59 @t698 @t767))) % 77.34/77.58 (step @p888 :rule aci_norm :args ((= @t772 (or @t291 @t770 @t769)))) % 77.34/77.58 (step @p889 :rule cong :premises (@p888) :args (@t773)) % 77.34/77.58 (step @p890 :rule quant-merge-prenex :args ((= (forall @t9 @t775) @t773))) % 77.34/77.58 (step @p891 :rule alpha_equiv :args (@t776 (@list @t768) @t752)) % 77.34/77.58 (step @p892 :rule nary_cong :premises (@p168 @p891) :args (@t777)) % 77.34/77.58 (step @p893 :rule quant-miniscope-or :args ((= @t775 @t777))) % 77.34/77.58 (step @p894 :rule trans :premises (@p893 @p892)) % 77.34/77.58 (step @p895 :rule symm :premises (@p894)) % 77.34/77.58 (step @p896 :rule cong :premises (@p895) :args ((forall @t9 (or @t291 @t778)))) % 77.34/77.58 (step @p897 :rule trans :premises (@p896 @p890)) % 77.34/77.58 (step @p898 :rule trans :premises (@p897 @p889)) % 77.34/77.58 (step @p899 :rule bool-impl-elim :args (@t17 @t778)) % 77.34/77.58 (step @p900 :rule cong :premises (@p899) :args ((forall @t9 (=> @t17 @t778)))) % 77.34/77.58 (step @p901 :rule trans :premises (@p900 @p898)) % 77.34/77.58 (step @p902 :rule bool-impl-elim :args (@t21 @t67)) % 77.34/77.58 (step @p903 :rule cong :premises (@p902) :args (@t68)) % 77.34/77.58 (step @p904 :rule cong :premises (@p101 @p903) :args (@t69)) % 77.34/77.58 (step @p905 :rule cong :premises (@p904) :args (@t70)) % 77.34/77.58 (step @p906 :rule trans :premises (@p905 @p901)) % 77.34/77.58 (step @p907 :rule eq_resolve :premises (@p26 @p906)) % 77.34/77.58 (step @p908 :rule instantiate :premises (@p907) :args ((@list @t686 @t269))) % 77.34/77.58 (step @p909 :rule instantiate :premises (@p907) :args ((@list @t685 @t684))) % 77.34/77.58 (step @p910 :rule cnf_or_pos :args (@t780)) % 77.34/77.58 (step @p911 :rule reordering :premises (@p910) :args ((or @t695 @t763 @t779 (not @t780)))) % 77.34/77.58 (step @p912 :rule chain_m_resolution :premises (@p911 @p873 @p867 @p909) :args (@t779 @t759 (@list @t694 @t756 @t780))) % 77.34/77.58 (step @p913 :rule cnf_or_pos :args (@t783)) % 77.34/77.58 (step @p914 :rule reordering :premises (@p913) :args ((or @t693 @t782 @t781 (not @t783)))) % 77.34/77.58 (step @p915 :rule chain_m_resolution :premises (@p914 @p786 @p912 @p908) :args (@t781 @t759 (@list @t678 @t779 @t783))) % 77.34/77.58 (step @p916 :rule cnf_or_pos :args (@t789)) % 77.34/77.58 (step @p917 :rule reordering :premises (@p916) :args ((or @t692 @t788 @t787 @t786 (not @t789)))) % 77.34/77.58 (step @p918 :rule chain_m_resolution :premises (@p917 @p796 @p915 @p887 @p877) :args (@t786 @t765 @t790)) % 77.34/77.58 (step @p919 :rule aci_norm :args ((= @t798 @t796))) % 77.34/77.58 (step @p920 :rule cong :premises (@p919) :args (@t800)) % 77.34/77.58 (step @p921 :rule quant-merge-prenex :args ((= (forall @t9 @t802) @t800))) % 77.34/77.58 (step @p922 :rule alpha_equiv :args (@t803 (@list @t791 @t792) (@list @t1 @t804))) % 77.34/77.58 (step @p923 :rule nary_cong :premises (@p168 @p922) :args (@t805)) % 77.34/77.58 (step @p924 :rule quant-miniscope-or :args ((= @t802 @t805))) % 77.34/77.58 (step @p925 :rule trans :premises (@p924 @p923)) % 77.34/77.58 (step @p926 :rule symm :premises (@p925)) % 77.34/77.58 (step @p927 :rule cong :premises (@p926) :args ((forall @t9 (or @t291 @t810)))) % 77.34/77.58 (step @p928 :rule trans :premises (@p927 @p921)) % 77.34/77.58 (step @p929 :rule trans :premises (@p928 @p920)) % 77.34/77.58 (step @p930 :rule bool-impl-elim :args (@t17 @t810)) % 77.34/77.58 (step @p931 :rule cong :premises (@p930) :args ((forall @t9 (=> @t17 @t810)))) % 77.34/77.58 (step @p932 :rule trans :premises (@p931 @p929)) % 77.34/77.58 (step @p933 :rule aci_norm :args ((= @t812 @t808))) % 77.34/77.58 (step @p934 :rule cong :premises (@p933) :args (@t813)) % 77.34/77.58 (step @p935 :rule quant-merge-prenex :args ((= (forall @t7 @t815) @t813))) % 77.34/77.58 (step @p936 :rule alpha_equiv :args (@t816 (@list @t804) @t740)) % 77.34/77.58 (step @p937 :rule nary_cong :premises (@p213 @p936) :args (@t817)) % 77.34/77.58 (step @p938 :rule quant-miniscope-or :args ((= @t815 @t817))) % 77.34/77.58 (step @p939 :rule trans :premises (@p938 @p937)) % 77.34/77.58 (step @p940 :rule symm :premises (@p939)) % 77.34/77.58 (step @p941 :rule cong :premises (@p940) :args ((forall @t7 (or @t342 @t819)))) % 77.34/77.58 (step @p942 :rule trans :premises (@p941 @p935)) % 77.34/77.58 (step @p943 :rule trans :premises (@p942 @p934)) % 77.34/77.58 (step @p944 :rule bool-impl-elim :args (@t21 @t819)) % 77.34/77.58 (step @p945 :rule cong :premises (@p944) :args ((forall @t7 (=> @t21 @t819)))) % 77.34/77.58 (step @p946 :rule trans :premises (@p945 @p943)) % 77.34/77.58 (step @p947 :rule bool-impl-elim :args (@t36 @t72)) % 77.34/77.58 (step @p948 :rule cong :premises (@p947) :args (@t73)) % 77.34/77.58 (step @p949 :rule cong :premises (@p770 @p948) :args (@t74)) % 77.34/77.58 (step @p950 :rule cong :premises (@p949) :args (@t75)) % 77.34/77.58 (step @p951 :rule trans :premises (@p950 @p946)) % 77.34/77.58 (step @p952 :rule cong :premises (@p101 @p951) :args (@t76)) % 77.34/77.58 (step @p953 :rule cong :premises (@p952) :args (@t77)) % 77.34/77.58 (step @p954 :rule trans :premises (@p953 @p932)) % 77.34/77.58 (step @p955 :rule eq_resolve :premises (@p27 @p954)) % 77.34/77.58 (step @p956 :rule eq-symm :args (@t820 @t760)) % 77.34/77.58 (step @p957 :rule refl :args (@t701)) % 77.34/77.58 (step @p958 :rule refl :args (@t757)) % 77.34/77.58 (step @p959 :rule refl :args (@t693)) % 77.34/77.58 (step @p960 :rule nary_cong :premises (@p959 @p958 @p957 @p956) :args (@t821)) % 77.34/77.58 (step @p961 :rule refl :args (@t822)) % 77.34/77.58 (step @p962 :rule cong :premises (@p961 @p960) :args ((=> @t822 @t821))) % 77.34/77.58 (assume-push @p1321 @t822) % 77.34/77.58 (step @p964 :rule instantiate :premises (@p955) :args ((@list @t269 tptp.nil @t683))) % 77.34/77.58 (step-pop @p1322 :rule scope :premises (@p964)) % 77.34/77.58 (step @p965 :rule process_scope :premises (@p1322) :args (@t821)) % 77.34/77.58 (step @p967 :rule eq_resolve :premises (@p965 @p962)) % 77.34/77.58 (step @p968 :rule implies_elim :premises (@p967)) % 77.34/77.58 (step @p969 :rule chain_m_resolution :premises (@p968 @p955) :args (@t824 @t825 @t826)) % 77.34/77.58 (step @p970 :rule cnf_or_pos :args (@t824)) % 77.34/77.58 (step @p971 :rule reordering :premises (@p970) :args ((or @t757 @t701 @t693 @t823 (not @t824)))) % 77.34/77.58 (step @p972 :rule chain_m_resolution :premises (@p971 @p17 @p864 @p786 @p969) :args (@t823 @t765 (@list @t59 @t700 @t678 @t824))) % 77.34/77.58 (step @p973 :rule eq-symm :args (@t827 @t784)) % 77.34/77.58 (step @p974 :rule refl :args (@t699)) % 77.34/77.58 (step @p975 :rule refl :args (@t692)) % 77.34/77.58 (step @p976 :rule nary_cong :premises (@p975 @p958 @p974 @p973) :args (@t828)) % 77.34/77.58 (step @p977 :rule cong :premises (@p961 @p976) :args ((=> @t822 @t828))) % 77.34/77.58 (assume-push @p1323 @t822) % 77.34/77.58 (step @p979 :rule instantiate :premises (@p955) :args ((@list @t680 tptp.nil @t681))) % 77.34/77.58 (step-pop @p1324 :rule scope :premises (@p979)) % 77.34/77.58 (step @p980 :rule process_scope :premises (@p1324) :args (@t828)) % 77.34/77.58 (step @p982 :rule eq_resolve :premises (@p980 @p977)) % 77.34/77.58 (step @p983 :rule implies_elim :premises (@p982)) % 77.34/77.58 (step @p984 :rule chain_m_resolution :premises (@p983 @p955) :args (@t830 @t825 @t826)) % 77.34/77.58 (step @p985 :rule cnf_or_pos :args (@t830)) % 77.34/77.58 (step @p986 :rule reordering :premises (@p985) :args ((or @t757 @t699 @t692 @t829 (not @t830)))) % 77.34/77.58 (step @p987 :rule chain_m_resolution :premises (@p986 @p17 @p884 @p796 @p984) :args (@t829 @t765 (@list @t59 @t698 @t691 @t830))) % 77.34/77.58 (step @p988 :rule bool-impl-elim :args (@t17 @t844)) % 77.34/77.58 (step @p989 :rule cong :premises (@p988) :args ((forall @t9 (=> @t17 @t844)))) % 77.34/77.58 (step @p990 :rule aci_norm :args ((= @t846 @t842))) % 77.34/77.58 (step @p991 :rule cong :premises (@p990) :args (@t847)) % 77.34/77.58 (step @p992 :rule quant-merge-prenex :args ((= (forall @t7 @t849) @t847))) % 77.34/77.58 (step @p993 :rule alpha_equiv :args (@t850 (@list @t832 @t834 @t833 @t831) (@list @t12 @t853 @t852 @t851))) % 77.34/77.58 (step @p994 :rule refl :args (@t754)) % 77.34/77.58 (step @p995 :rule nary_cong :premises (@p994 @p993) :args (@t854)) % 77.34/77.58 (step @p996 :rule quant-miniscope-or :args ((= @t849 @t854))) % 77.34/77.58 (step @p997 :rule trans :premises (@p996 @p995)) % 77.34/77.58 (step @p998 :rule symm :premises (@p997)) % 77.34/77.58 (step @p999 :rule cong :premises (@p998) :args ((forall @t7 (or @t754 @t861)))) % 77.34/77.58 (step @p1000 :rule trans :premises (@p999 @p992)) % 77.34/77.58 (step @p1001 :rule trans :premises (@p1000 @p991)) % 77.34/77.58 (step @p1002 :rule bool-impl-elim :args (@t6 @t861)) % 77.34/77.58 (step @p1003 :rule cong :premises (@p1002) :args ((forall @t7 (=> @t6 @t861)))) % 77.34/77.58 (step @p1004 :rule trans :premises (@p1003 @p1001)) % 77.34/77.58 (step @p1005 :rule aci_norm :args ((= @t863 @t859))) % 77.34/77.58 (step @p1006 :rule cong :premises (@p1005) :args (@t864)) % 77.34/77.58 (step @p1007 :rule quant-merge-prenex :args ((= (forall @t16 @t866) @t864))) % 77.34/77.58 (step @p1008 :rule alpha_equiv :args (@t867 (@list @t853 @t852 @t851) (@list @t10 @t869 @t868))) % 77.34/77.58 (step @p1009 :rule refl :args (@t26)) % 77.34/77.58 (step @p1010 :rule refl :args (@t818)) % 77.34/77.58 (step @p1011 :rule nary_cong :premises (@p1010 @p1009 @p1008) :args (@t870)) % 77.34/77.58 (step @p1012 :rule quant-miniscope-or :args ((= @t866 @t870))) % 77.34/77.58 (step @p1013 :rule trans :premises (@p1012 @p1011)) % 77.34/77.58 (step @p1014 :rule symm :premises (@p1013)) % 77.34/77.58 (step @p1015 :rule cong :premises (@p1014) :args ((forall @t16 @t877))) % 77.34/77.58 (step @p1016 :rule trans :premises (@p1015 @p1007)) % 77.34/77.58 (step @p1017 :rule trans :premises (@p1016 @p1006)) % 77.34/77.58 (step @p1018 :rule aci_norm :args ((= (or @t818 @t878) @t877))) % 77.34/77.58 (step @p1019 :rule bool-impl-elim :args (@t36 @t878)) % 77.34/77.58 (step @p1020 :rule trans :premises (@p1019 @p1018)) % 77.34/77.58 (step @p1021 :rule cong :premises (@p1020) :args ((forall @t16 (=> @t36 @t878)))) % 77.34/77.58 (step @p1022 :rule trans :premises (@p1021 @p1017)) % 77.34/77.58 (step @p1023 :rule aci_norm :args ((= @t880 @t874))) % 77.34/77.58 (step @p1024 :rule cong :premises (@p1023) :args (@t881)) % 77.34/77.58 (step @p1025 :rule quant-merge-prenex :args ((= (forall @t14 @t883) @t881))) % 77.34/77.58 (step @p1026 :rule alpha_equiv :args (@t884 (@list @t869 @t868) (@list @t28 @t885))) % 77.34/77.58 (step @p1027 :rule nary_cong :premises (@p329 @p1026) :args (@t886)) % 77.34/77.58 (step @p1028 :rule quant-miniscope-or :args ((= @t883 @t886))) % 77.34/77.58 (step @p1029 :rule trans :premises (@p1028 @p1027)) % 77.34/77.58 (step @p1030 :rule symm :premises (@p1029)) % 77.34/77.58 (step @p1031 :rule cong :premises (@p1030) :args (@t893)) % 77.34/77.58 (step @p1032 :rule trans :premises (@p1031 @p1025)) % 77.34/77.58 (step @p1033 :rule trans :premises (@p1032 @p1024)) % 77.34/77.58 (step @p1034 :rule refl :args (@t26)) % 77.34/77.58 (step @p1035 :rule nary_cong :premises (@p1034 @p1033) :args (@t894)) % 77.34/77.58 (step @p1036 :rule quant-miniscope-or :args ((= (forall @t14 @t895) @t894))) % 77.34/77.58 (step @p1037 :rule aci_norm :args ((= @t896 @t895))) % 77.34/77.58 (step @p1038 :rule cong :premises (@p1037) :args ((forall @t14 @t896))) % 77.34/77.58 (step @p1039 :rule trans :premises (@p1038 @p1036)) % 77.34/77.58 (step @p1040 :rule trans :premises (@p1039 @p1035)) % 77.34/77.58 (step @p1041 :rule aci_norm :args ((= (or @t424 @t897) @t896))) % 77.34/77.58 (step @p1042 :rule bool-impl-elim :args (@t13 @t897)) % 77.34/77.58 (step @p1043 :rule trans :premises (@p1042 @p1041)) % 77.34/77.58 (step @p1044 :rule cong :premises (@p1043) :args ((forall @t14 (=> @t13 @t897)))) % 77.34/77.58 (step @p1045 :rule trans :premises (@p1044 @p1040)) % 77.34/77.58 (step @p1046 :rule aci_norm :args ((= @t899 @t889))) % 77.34/77.58 (step @p1047 :rule cong :premises (@p1046) :args (@t900)) % 77.34/77.58 (step @p1048 :rule quant-merge-prenex :args ((= (forall @t35 @t902) @t900))) % 77.34/77.58 (step @p1049 :rule alpha_equiv :args (@t903 (@list @t885) @t544)) % 77.34/77.58 (step @p1050 :rule nary_cong :premises (@p515 @p1049) :args (@t904)) % 77.34/77.58 (step @p1051 :rule quant-miniscope-or :args ((= @t902 @t904))) % 77.34/77.58 (step @p1052 :rule trans :premises (@p1051 @p1050)) % 77.34/77.58 (step @p1053 :rule symm :premises (@p1052)) % 77.34/77.58 (step @p1054 :rule cong :premises (@p1053) :args (@t910)) % 77.34/77.58 (step @p1055 :rule trans :premises (@p1054 @p1048)) % 77.34/77.58 (step @p1056 :rule trans :premises (@p1055 @p1047)) % 77.34/77.58 (step @p1057 :rule nary_cong :premises (@p1034 @p1056) :args (@t911)) % 77.34/77.58 (step @p1058 :rule quant-miniscope-or :args ((= (forall @t35 @t912) @t911))) % 77.34/77.58 (step @p1059 :rule aci_norm :args ((= @t913 @t912))) % 77.34/77.58 (step @p1060 :rule cong :premises (@p1059) :args ((forall @t35 @t913))) % 77.34/77.58 (step @p1061 :rule trans :premises (@p1060 @p1058)) % 77.34/77.58 (step @p1062 :rule trans :premises (@p1061 @p1057)) % 77.34/77.58 (step @p1063 :rule aci_norm :args ((= (or @t448 @t914) @t913))) % 77.34/77.58 (step @p1064 :rule bool-impl-elim :args (@t34 @t914)) % 77.34/77.58 (step @p1065 :rule trans :premises (@p1064 @p1063)) % 77.34/77.58 (step @p1066 :rule cong :premises (@p1065) :args ((forall @t35 (=> @t34 @t914)))) % 77.34/77.58 (step @p1067 :rule trans :premises (@p1066 @p1062)) % 77.34/77.58 (step @p1068 :rule quant-miniscope-or :args ((= (forall @t33 @t915) @t914))) % 77.34/77.59 (step @p1069 :rule aci_norm :args ((= @t916 @t915))) % 77.34/77.59 (step @p1070 :rule cong :premises (@p1069) :args ((forall @t33 @t916))) % 77.34/77.59 (step @p1071 :rule trans :premises (@p1070 @p1068)) % 77.34/77.59 (step @p1072 :rule aci_norm :args ((= (or @t550 (or @t906 @t26)) @t916))) % 77.34/77.59 (step @p1073 :rule bool-impl-elim :args (@t905 @t26)) % 77.34/77.59 (step @p1074 :rule refl :args (@t550)) % 77.34/77.59 (step @p1075 :rule nary_cong :premises (@p1074 @p1073) :args ((or @t550 @t917))) % 77.34/77.59 (step @p1076 :rule trans :premises (@p1075 @p1072)) % 77.34/77.59 (step @p1077 :rule bool-impl-elim :args (@t32 @t917)) % 77.34/77.59 (step @p1078 :rule trans :premises (@p1077 @p1076)) % 77.34/77.59 (step @p1079 :rule cong :premises (@p1078) :args ((forall @t33 (=> @t32 @t917)))) % 77.34/77.59 (step @p1080 :rule trans :premises (@p1079 @p1071)) % 77.34/77.59 (step @p1081 :rule eq-symm :args (@t30 @t2)) % 77.34/77.59 (step @p1082 :rule cong :premises (@p1081 @p1034) :args (@t38)) % 77.34/77.59 (step @p1083 :rule cong :premises (@p752 @p1082) :args (@t39)) % 77.34/77.59 (step @p1084 :rule cong :premises (@p1083) :args (@t40)) % 77.34/77.59 (step @p1085 :rule trans :premises (@p1084 @p1080)) % 77.34/77.59 (step @p1086 :rule cong :premises (@p756 @p1085) :args (@t41)) % 77.34/77.59 (step @p1087 :rule cong :premises (@p1086) :args (@t42)) % 77.34/77.59 (step @p1088 :rule trans :premises (@p1087 @p1067)) % 77.34/77.59 (step @p1089 :rule cong :premises (@p762 @p1088) :args (@t43)) % 77.34/77.59 (step @p1090 :rule cong :premises (@p1089) :args (@t44)) % 77.34/77.59 (step @p1091 :rule trans :premises (@p1090 @p1045)) % 77.34/77.59 (step @p1092 :rule refl :args (@t36)) % 77.34/77.59 (step @p1093 :rule cong :premises (@p1092 @p1091) :args (@t45)) % 77.34/77.59 (step @p1094 :rule cong :premises (@p1093) :args (@t46)) % 77.34/77.59 (step @p1095 :rule trans :premises (@p1094 @p1022)) % 77.34/77.59 (step @p1096 :rule refl :args (@t6)) % 77.34/77.59 (step @p1097 :rule cong :premises (@p1096 @p1095) :args (@t47)) % 77.34/77.59 (step @p1098 :rule cong :premises (@p1097) :args (@t48)) % 77.34/77.59 (step @p1099 :rule trans :premises (@p1098 @p1004)) % 77.34/77.59 (step @p1100 :rule refl :args (@t49)) % 77.34/77.59 (step @p1101 :rule cong :premises (@p1100 @p1099) :args (@t50)) % 77.34/77.59 (step @p1102 :rule cong :premises (@p101 @p1101) :args (@t51)) % 77.34/77.59 (step @p1103 :rule cong :premises (@p1102) :args (@t52)) % 77.34/77.59 (step @p1104 :rule trans :premises (@p1103 @p989)) % 77.34/77.59 (step @p1105 :rule eq_resolve :premises (@p11 @p1104)) % 77.34/77.59 (step @p1106 :rule eq-symm :args (@t688 @t835)) % 77.34/77.59 (step @p1107 :rule cong :premises (@p1106) :args (@t918)) % 77.34/77.59 (step @p1108 :rule refl :args (@t837)) % 77.34/77.59 (step @p1109 :rule refl :args (@t838)) % 77.34/77.59 (step @p1110 :rule refl :args (@t839)) % 77.34/77.59 (step @p1111 :rule refl :args (@t840)) % 77.34/77.59 (step @p1112 :rule refl :args (@t841)) % 77.34/77.59 (step @p1113 :rule refl :args (@t754)) % 77.34/77.59 (step @p1114 :rule nary_cong :premises (@p1113 @p1112 @p1111 @p1110 @p1109 @p1108 @p1107) :args (@t919)) % 77.34/77.59 (step @p1115 :rule cong :premises (@p1114) :args (@t920)) % 77.34/77.59 (step @p1116 :rule refl :args (@t702)) % 77.34/77.59 (step @p1117 :rule cong :premises (@p1116 @p1115) :args (@t921)) % 77.34/77.59 (step @p1118 :rule refl :args (@t705)) % 77.34/77.59 (step @p1119 :rule nary_cong :premises (@p1118 @p1117) :args (@t922)) % 77.34/77.59 (step @p1120 :rule refl :args (@t923)) % 77.34/77.59 (step @p1121 :rule cong :premises (@p1120 @p1119) :args ((=> @t923 @t922))) % 77.34/77.59 (assume-push @p1325 @t923) % 77.34/77.59 (step @p1123 :rule instantiate :premises (@p1105) :args ((@list @t688))) % 77.34/77.59 (step-pop @p1326 :rule scope :premises (@p1123)) % 77.34/77.59 (step @p1124 :rule process_scope :premises (@p1326) :args (@t922)) % 77.34/77.59 (step @p1126 :rule eq_resolve :premises (@p1124 @p1121)) % 77.34/77.59 (step @p1127 :rule implies_elim :premises (@p1126)) % 77.34/77.59 (step @p1128 :rule chain_m_resolution :premises (@p1127 @p1105) :args (@t926 @t825 (@list @t923))) % 77.34/77.59 (step @p1129 :rule bool-double-not-elim :args (@t704)) % 77.34/77.59 (step @p1130 :rule nary_cong :premises (@p781 @p1129) :args ((or @t706 (not @t705)))) % 77.34/77.59 (step @p1131 :rule cnf_or_neg :args (@t706 0)) % 77.34/77.59 (step @p1132 :rule eq_resolve :premises (@p1131 @p1130)) % 77.34/77.59 (step @p1133 :rule reordering :premises (@p1132) :args ((or @t704 @t706))) % 77.34/77.59 (step @p1134 :rule chain_m_resolution :premises (@p1133 @p779) :args (@t704 @t707 @t708)) % 77.34/77.59 (step @p1135 :rule cnf_or_pos :args (@t926)) % 77.34/77.59 (step @p1136 :rule reordering :premises (@p1135) :args ((or @t705 @t925 (not @t926)))) % 77.34/77.59 (step @p1137 :rule chain_m_resolution :premises (@p1136 @p1134 @p1128) :args (@t925 @t712 (@list @t704 @t926))) % 77.34/77.59 (step @p1138 :rule bool-double-not-elim :args (@t702)) % 77.34/77.59 (step @p1139 :rule nary_cong :premises (@p781 @p1138) :args ((or @t706 (not @t703)))) % 77.34/77.59 (step @p1140 :rule cnf_or_neg :args (@t706 1)) % 77.34/77.59 (step @p1141 :rule eq_resolve :premises (@p1140 @p1139)) % 77.34/77.59 (step @p1142 :rule reordering :premises (@p1141) :args ((or @t702 @t706))) % 77.34/77.59 (step @p1143 :rule chain_m_resolution :premises (@p1142 @p779) :args (@t702 @t707 @t708)) % 77.34/77.59 (step @p1144 :rule cnf_equiv_pos1 :args (@t925)) % 77.34/77.59 (step @p1145 :rule reordering :premises (@p1144) :args ((or @t703 @t924 (not @t925)))) % 77.34/77.59 (step @p1146 :rule chain_m_resolution :premises (@p1145 @p1143 @p1137) :args (@t924 @t712 (@list @t702 @t925))) % 77.34/77.59 (step @p1147 :rule eq-symm :args (@t927 @t688)) % 77.34/77.59 (step @p1148 :rule cong :premises (@p1147) :args (@t928)) % 77.34/77.59 (step @p1149 :rule refl :args (@t695)) % 77.34/77.59 (step @p1150 :rule refl :args (@t929)) % 77.34/77.59 (step @p1151 :rule nary_cong :premises (@p957 @p974 @p1150 @p1149 @p959 @p975 @p1148) :args (@t930)) % 77.34/77.59 (step @p1152 :rule refl :args (@t924)) % 77.34/77.59 (step @p1153 :rule cong :premises (@p1152 @p1151) :args ((=> @t924 @t930))) % 77.34/77.59 (assume-push @p1327 @t924) % 77.34/77.59 (step @p1155 :rule instantiate :premises (@p1146) :args ((@list @t683 @t681 @t685 @t269 @t680))) % 77.34/77.59 (step-pop @p1328 :rule scope :premises (@p1155)) % 77.34/77.59 (step @p1156 :rule process_scope :premises (@p1328) :args (@t930)) % 77.34/77.59 (step @p1158 :rule eq_resolve :premises (@p1156 @p1153)) % 77.34/77.59 (step @p1159 :rule implies_elim :premises (@p1158)) % 77.34/77.59 (step @p1160 :rule chain_m_resolution :premises (@p1159 @p1146) :args (@t933 @t825 (@list @t924))) % 77.34/77.59 (step @p1161 :rule aci_norm :args ((= @t942 @t940))) % 77.34/77.59 (step @p1162 :rule cong :premises (@p1161) :args (@t944)) % 77.34/77.59 (step @p1163 :rule quant-merge-prenex :args ((= (forall @t9 @t946) @t944))) % 77.34/77.59 (step @p1164 :rule alpha_equiv :args (@t947 (@list @t934) @t752)) % 77.34/77.59 (step @p1165 :rule refl :args (@t939)) % 77.34/77.59 (step @p1166 :rule nary_cong :premises (@p1165 @p1164) :args (@t948)) % 77.34/77.59 (step @p1167 :rule quant-miniscope-or :args ((= @t946 @t948))) % 77.34/77.59 (step @p1168 :rule trans :premises (@p1167 @p1166)) % 77.34/77.59 (step @p1169 :rule symm :premises (@p1168)) % 77.34/77.59 (step @p1170 :rule cong :premises (@p1169) :args ((forall @t9 (or @t939 @t952)))) % 77.34/77.59 (step @p1171 :rule trans :premises (@p1170 @p1163)) % 77.34/77.59 (step @p1172 :rule trans :premises (@p1171 @p1162)) % 77.34/77.59 (step @p1173 :rule bool-impl-elim :args (@t8 @t952)) % 77.34/77.59 (step @p1174 :rule cong :premises (@p1173) :args ((forall @t9 (=> @t8 @t952)))) % 77.34/77.59 (step @p1175 :rule trans :premises (@p1174 @p1172)) % 77.34/77.59 (step @p1176 :rule aci_norm :args ((= (or @t754 @t953) @t951))) % 77.34/77.59 (step @p1177 :rule aci_norm :args ((= (or (or @t950 @t949) @t3) @t953))) % 77.34/77.59 (step @p1178 :rule refl :args (@t3)) % 77.34/77.59 (step @p1179 :rule bool-and-de-morgan :args (@t82 @t81 true)) % 77.34/77.59 (step @p1180 :rule nary_cong :premises (@p1179 @p1178) :args ((or (not @t83) @t3))) % 77.34/77.59 (step @p1181 :rule trans :premises (@p1180 @p1177)) % 77.34/77.59 (step @p1182 :rule bool-impl-elim :args (@t83 @t3)) % 77.34/77.59 (step @p1183 :rule trans :premises (@p1182 @p1181)) % 77.34/77.59 (step @p1184 :rule nary_cong :premises (@p994 @p1183) :args ((or @t754 @t84))) % 77.34/77.59 (step @p1185 :rule trans :premises (@p1184 @p1176)) % 77.34/77.59 (step @p1186 :rule bool-impl-elim :args (@t6 @t84)) % 77.34/77.59 (step @p1187 :rule trans :premises (@p1186 @p1185)) % 77.34/77.59 (step @p1188 :rule cong :premises (@p1187) :args (@t85)) % 77.34/77.59 (step @p1189 :rule refl :args (@t8)) % 77.34/77.59 (step @p1190 :rule cong :premises (@p1189 @p1188) :args (@t86)) % 77.34/77.59 (step @p1191 :rule cong :premises (@p1190) :args (@t87)) % 77.34/77.59 (step @p1192 :rule trans :premises (@p1191 @p1175)) % 77.34/77.59 (step @p1193 :rule eq_resolve :premises (@p29 @p1192)) % 77.34/77.59 (step @p1194 :rule eq-symm :args (@t681 @t683)) % 77.34/77.59 (step @p1195 :rule refl :args (@t954)) % 77.34/77.59 (step @p1196 :rule refl :args (@t956)) % 77.34/77.59 (step @p1197 :rule nary_cong :premises (@p974 @p957 @p1196 @p1195 @p1194) :args (@t958)) % 77.34/77.59 (step @p1198 :rule refl :args (@t959)) % 77.34/77.59 (step @p1199 :rule cong :premises (@p1198 @p1197) :args ((=> @t959 @t958))) % 77.34/77.59 (assume-push @p1329 @t959) % 77.34/77.59 (step @p1201 :rule instantiate :premises (@p1193) :args (@t960)) % 77.34/77.59 (step-pop @p1330 :rule scope :premises (@p1201)) % 77.34/77.59 (step @p1202 :rule process_scope :premises (@p1330) :args (@t958)) % 77.34/77.59 (step @p1204 :rule eq_resolve :premises (@p1202 @p1199)) % 77.34/77.59 (step @p1205 :rule implies_elim :premises (@p1204)) % 77.34/77.59 (step @p1206 :rule chain_m_resolution :premises (@p1205 @p1193) :args (@t962 @t825 (@list @t959))) % 77.34/77.59 (step @p1207 :rule aci_norm :args ((= @t968 @t966))) % 77.34/77.59 (step @p1208 :rule cong :premises (@p1207) :args (@t970)) % 77.34/77.59 (step @p1209 :rule quant-merge-prenex :args ((= (forall @t9 @t972) @t970))) % 77.34/77.59 (step @p1210 :rule alpha_equiv :args (@t973 (@list @t963) @t752)) % 77.34/77.59 (step @p1211 :rule nary_cong :premises (@p1165 @p1210) :args (@t974)) % 77.34/77.59 (step @p1212 :rule quant-miniscope-or :args ((= @t972 @t974))) % 77.34/77.59 (step @p1213 :rule trans :premises (@p1212 @p1211)) % 77.34/77.59 (step @p1214 :rule symm :premises (@p1213)) % 77.34/77.59 (step @p1215 :rule cong :premises (@p1214) :args ((forall @t9 (or @t939 @t975)))) % 77.34/77.59 (step @p1216 :rule trans :premises (@p1215 @p1209)) % 77.34/77.59 (step @p1217 :rule trans :premises (@p1216 @p1208)) % 77.34/77.59 (step @p1218 :rule bool-impl-elim :args (@t8 @t975)) % 77.34/77.59 (step @p1219 :rule cong :premises (@p1218) :args ((forall @t9 (=> @t8 @t975)))) % 77.34/77.59 (step @p1220 :rule trans :premises (@p1219 @p1217)) % 77.34/77.59 (step @p1221 :rule bool-impl-elim :args (@t6 @t107)) % 77.34/77.59 (step @p1222 :rule cong :premises (@p1221) :args (@t108)) % 77.34/77.59 (step @p1223 :rule cong :premises (@p1189 @p1222) :args (@t109)) % 77.34/77.59 (step @p1224 :rule cong :premises (@p1223) :args (@t110)) % 77.34/77.59 (step @p1225 :rule trans :premises (@p1224 @p1220)) % 77.34/77.59 (step @p1226 :rule eq_resolve :premises (@p93 @p1225)) % 77.34/77.59 (step @p1227 :rule refl :args (@t955)) % 77.34/77.59 (step @p1228 :rule cong :premises (@p1194) :args (@t976)) % 77.34/77.59 (step @p1229 :rule nary_cong :premises (@p1228 @p1227) :args (@t977)) % 77.34/77.59 (step @p1230 :rule refl :args (@t696)) % 77.34/77.59 (step @p1231 :rule cong :premises (@p1230 @p1229) :args (@t978)) % 77.34/77.59 (step @p1232 :rule nary_cong :premises (@p974 @p957 @p1231) :args (@t979)) % 77.34/77.59 (step @p1233 :rule refl :args (@t980)) % 77.34/77.59 (step @p1234 :rule cong :premises (@p1233 @p1232) :args ((=> @t980 @t979))) % 77.34/77.59 (assume-push @p1331 @t980) % 77.34/77.59 (step @p1236 :rule instantiate :premises (@p1226) :args (@t960)) % 77.34/77.59 (step-pop @p1332 :rule scope :premises (@p1236)) % 77.34/77.59 (step @p1237 :rule process_scope :premises (@p1332) :args (@t979)) % 77.34/77.59 (step @p1239 :rule eq_resolve :premises (@p1237 @p1234)) % 77.34/77.59 (step @p1240 :rule implies_elim :premises (@p1239)) % 77.34/77.59 (step @p1241 :rule chain_m_resolution :premises (@p1240 @p1226) :args (@t984 @t825 (@list @t980))) % 77.34/77.59 (step @p1242 :rule cnf_or_pos :args (@t984)) % 77.34/77.59 (step @p1243 :rule reordering :premises (@p1242) :args ((or @t701 @t699 @t983 (not @t984)))) % 77.34/77.59 (step @p1244 :rule chain_m_resolution :premises (@p1243 @p864 @p884 @p1241) :args (@t983 @t759 (@list @t700 @t698 @t984))) % 77.34/77.59 (step @p1245 :rule bool-double-not-elim :args (@t696)) % 77.34/77.59 (step @p1246 :rule nary_cong :premises (@p781 @p1245) :args ((or @t706 (not @t697)))) % 77.34/77.59 (step @p1247 :rule cnf_or_neg :args (@t706 4)) % 77.34/77.59 (step @p1248 :rule eq_resolve :premises (@p1247 @p1246)) % 77.34/77.59 (step @p1249 :rule reordering :premises (@p1248) :args ((or @t696 @t706))) % 77.34/77.59 (step @p1250 :rule chain_m_resolution :premises (@p1249 @p779) :args (@t696 @t707 @t708)) % 77.34/77.59 (step @p1251 :rule cnf_equiv_pos1 :args (@t983)) % 77.34/77.59 (step @p1252 :rule reordering :premises (@p1251) :args ((or @t697 @t982 (not @t983)))) % 77.34/77.59 (step @p1253 :rule chain_m_resolution :premises (@p1252 @p1250 @p1244) :args (@t982 @t712 (@list @t696 @t983))) % 77.34/77.59 (step @p1254 :rule cnf_and_pos :args (@t982 1)) % 77.34/77.59 (step @p1255 :rule reordering :premises (@p1254) :args ((or @t955 @t985))) % 77.34/77.59 (step @p1256 :rule chain_m_resolution :premises (@p1255 @p1253) :args (@t955 @t825 @t986)) % 77.34/77.59 (step @p1257 :rule cnf_and_pos :args (@t982 0)) % 77.34/77.59 (step @p1258 :rule reordering :premises (@p1257) :args ((or @t981 @t985))) % 77.34/77.59 (step @p1259 :rule chain_m_resolution :premises (@p1258 @p1253) :args (@t981 @t825 @t986)) % 77.34/77.59 (step @p1260 :rule cnf_or_pos :args (@t962)) % 77.34/77.59 (step @p1261 :rule reordering :premises (@p1260) :args ((or @t701 @t699 @t961 @t956 @t954 (not @t962)))) % 77.34/77.59 (step @p1262 :rule chain_m_resolution :premises (@p1261 @p864 @p884 @p1259 @p1256 @p1206) :args (@t954 (@list false false true false false) (@list @t700 @t698 @t961 @t955 @t962))) % 77.34/77.59 (step @p1263 :rule cnf_or_pos :args (@t933)) % 77.34/77.59 (step @p1264 :rule reordering :premises (@p1263) :args ((or @t701 @t699 @t695 @t693 @t692 @t929 @t932 (not @t933)))) % 77.34/77.59 (step @p1265 :rule chain_m_resolution :premises (@p1264 @p864 @p884 @p873 @p786 @p796 @p1262 @p1160) :args (@t932 (@list false false false false false true false) (@list @t700 @t698 @t694 @t678 @t691 @t929 @t933))) % 77.34/77.59 (step @p1266 :rule bool-double-not-elim :args (@t931)) % 77.34/77.59 (step @p1267 :rule refl :args (@t987)) % 77.34/77.59 (step @p1268 :rule refl :args (@t988)) % 77.34/77.59 (step @p1269 :rule refl :args (@t989)) % 77.34/77.59 (step @p1270 :rule refl :args (@t990)) % 77.34/77.59 (step @p1271 :rule refl :args (@t991)) % 77.34/77.59 (step @p1272 :rule refl :args (@t992)) % 77.34/77.59 (step @p1273 :rule nary_cong :premises (@p1272 @p1271 @p1270 @p1269 @p1268 @p1267 @p1266) :args ((or @t992 @t991 @t990 @t989 @t988 @t987 (not @t932)))) % 77.34/77.59 (assume-push @p1333 @t932) % 77.34/77.59 (assume-push @p1334 @t931) % 77.34/77.59 (step @p1276 :rule evaluate :args ((= true false))) % 77.34/77.59 (step @p1277 :rule false_intro :premises (@p1265)) % 77.34/77.59 (step @p1278 :rule symm :premises (@p799)) % 77.34/77.59 (step @p1279 :rule refl :args (@t681)) % 77.34/77.59 (step @p1280 :rule cong :premises (@p1279 @p1278) :args (@t827)) % 77.34/77.59 (step @p1281 :rule trans :premises (@p987 @p1280)) % 77.34/77.59 (step @p1282 :rule symm :premises (@p789)) % 77.34/77.59 (step @p1283 :rule refl :args (@t683)) % 77.34/77.59 (step @p1284 :rule cong :premises (@p1283 @p1282) :args (@t820)) % 77.34/77.59 (step @p1285 :rule trans :premises (@p972 @p1284)) % 77.34/77.59 (step @p1286 :rule refl :args (@t685)) % 77.34/77.59 (step @p1287 :rule cong :premises (@p1286 @p1285) :args (@t761)) % 77.34/77.59 (step @p1288 :rule trans :premises (@p876 @p1287)) % 77.34/77.59 (step @p1289 :rule cong :premises (@p1288 @p1281) :args (@t785)) % 77.34/77.59 (step @p1290 :rule chain_m_resolution :premises (@p917 @p796 @p915 @p887 @p877) :args (@t786 @t765 @t790)) % 77.34/77.59 (step @p1291 :rule trans :premises (@p1290 @p1289)) % 77.34/77.59 (step @p1292 :rule true_intro :premises (@p1291)) % 77.34/77.59 (step @p1293 :rule symm :premises (@p1292)) % 77.34/77.59 (step @p1294 :rule trans :premises (@p1293 @p1277)) % 77.34/77.59 (step @p1295 false :rule eq_resolve :premises (@p1294 @p1276)) % 77.34/77.59 (step-pop @p1335 :rule scope :premises (@p1295)) % 77.34/77.59 (step-pop @p1336 :rule scope :premises (@p1335)) % 77.34/77.59 (step @p1296 :rule process_scope :premises (@p1336) :args (false)) % 77.34/77.59 (assume-push @p1337 @t710) % 77.34/77.59 (assume-push @p1338 @t714) % 77.34/77.59 (assume-push @p1339 @t762) % 77.34/77.59 (assume-push @p1340 @t786) % 77.34/77.59 (assume-push @p1341 @t823) % 77.34/77.59 (assume-push @p1342 @t829) % 77.34/77.59 (assume-push @p1343 @t932) % 77.34/77.59 (step @p1278 :rule symm :premises (@p799)) % 77.34/77.59 (step @p1279 :rule refl :args (@t681)) % 77.34/77.59 (step @p1280 :rule cong :premises (@p1279 @p1278) :args (@t827)) % 77.34/77.59 (step @p1281 :rule trans :premises (@p987 @p1280)) % 77.34/77.59 (step @p1282 :rule symm :premises (@p789)) % 77.34/77.59 (step @p1283 :rule refl :args (@t683)) % 77.34/77.59 (step @p1284 :rule cong :premises (@p1283 @p1282) :args (@t820)) % 77.34/77.59 (step @p1285 :rule trans :premises (@p972 @p1284)) % 77.34/77.59 (step @p1286 :rule refl :args (@t685)) % 77.34/77.59 (step @p1287 :rule cong :premises (@p1286 @p1285) :args (@t761)) % 77.34/77.59 (step @p1288 :rule trans :premises (@p876 @p1287)) % 77.34/77.59 (step @p1289 :rule cong :premises (@p1288 @p1281) :args (@t785)) % 77.34/77.59 (step @p1306 :rule trans :premises (@p918 @p1289)) % 77.34/77.59 (step @p1307 :rule and_intro :premises (@p1265 @p1306)) % 77.34/77.59 (step-pop @p1344 :rule scope :premises (@p1307)) % 77.34/77.59 (step-pop @p1345 :rule scope :premises (@p1344)) % 77.34/77.59 (step-pop @p1346 :rule scope :premises (@p1345)) % 77.34/77.59 (step-pop @p1347 :rule scope :premises (@p1346)) % 77.34/77.59 (step-pop @p1348 :rule scope :premises (@p1347)) % 77.34/77.59 (step-pop @p1349 :rule scope :premises (@p1348)) % 77.34/77.59 (step-pop @p1350 :rule scope :premises (@p1349)) % 77.34/77.59 (step @p1308 :rule process_scope :premises (@p1350) :args (@t993)) % 77.34/77.59 (step @p1316 :rule implies_elim :premises (@p1308)) % 77.34/77.59 (step @p1317 :rule resolution :premises (@p1316 @p1296) :args (true @t993)) % 77.34/77.59 (step @p1318 :rule not_and :premises (@p1317)) % 77.34/77.59 (step @p1319 :rule eq_resolve :premises (@p1318 @p1273)) % 77.34/77.59 (step @p1320 false :rule chain_m_resolution :premises (@p1319 @p1265 @p987 @p972 @p918 @p876 @p799 @p789) :args (false (@list true false false false false false false) (@list @t931 @t829 @t823 @t786 @t762 @t714 @t710))) % 77.34/77.59 ) % 77.34/77.59 % SZS output end Proof % 77.34/77.59 % cvc5 exiting %------------------------------------------------------------------------------