%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC075+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 : n002.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 08:57:56 AM UTC 2026 % Result : Theorem 16.11s 16.36s % Output : Proof 16.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC075+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n002.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:13:03 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.11/16.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.11/16.36 --- Run --no-e-matching --full-saturate-quant at 6... % 16.11/16.36 % SZS status Theorem % 16.11/16.36 % SZS output start Proof % 16.11/16.36 ( % 16.11/16.36 (declare-sort $$unsorted 0) % 16.11/16.36 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.nil $$unsorted) % 16.11/16.36 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.ssList (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (define @t1 () (@var "V" $$unsorted)) % 16.11/16.36 (define @t2 () (@var "U" $$unsorted)) % 16.11/16.36 (define @t3 () (= @t2 @t1)) % 16.11/16.36 (define @t4 () (not @t3)) % 16.11/16.36 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 16.11/16.36 (define @t6 () (tptp.ssItem @t1)) % 16.11/16.36 (define @t7 () (@list @t1)) % 16.11/16.36 (define @t8 () (tptp.ssItem @t2)) % 16.11/16.36 (define @t9 () (@list @t2)) % 16.11/16.36 (define @t10 () (@var "X" $$unsorted)) % 16.11/16.36 (define @t11 () (tptp.cons @t1 @t10)) % 16.11/16.36 (define @t12 () (@var "W" $$unsorted)) % 16.11/16.36 (define @t13 () (tptp.ssList @t10)) % 16.11/16.36 (define @t14 () (@list @t10)) % 16.11/16.36 (define @t15 () (tptp.ssList @t12)) % 16.11/16.36 (define @t16 () (@list @t12)) % 16.11/16.36 (define @t17 () (tptp.ssList @t2)) % 16.11/16.36 (define @t18 () (tptp.cons @t1 tptp.nil)) % 16.11/16.36 (define @t19 () (tptp.app @t1 @t12)) % 16.11/16.36 (define @t20 () (tptp.frontsegP @t2 @t1)) % 16.11/16.36 (define @t21 () (tptp.ssList @t1)) % 16.11/16.36 (define @t22 () (tptp.app @t12 @t1)) % 16.11/16.36 (define @t23 () (tptp.rearsegP @t2 @t1)) % 16.11/16.36 (define @t24 () (tptp.segmentP @t2 @t1)) % 16.11/16.36 (define @t25 () (tptp.leq @t12 @t1)) % 16.11/16.36 (define @t26 () (tptp.leq @t1 @t12)) % 16.11/16.36 (define @t27 () (@var "Z" $$unsorted)) % 16.11/16.36 (define @t28 () (@var "Y" $$unsorted)) % 16.11/16.36 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 16.11/16.36 (define @t30 () (tptp.ssList @t27)) % 16.11/16.36 (define @t31 () (@list @t27)) % 16.11/16.36 (define @t32 () (tptp.ssList @t28)) % 16.11/16.36 (define @t33 () (@list @t28)) % 16.11/16.36 (define @t34 () (tptp.ssItem @t12)) % 16.11/16.36 (define @t35 () (tptp.lt @t1 @t12)) % 16.11/16.36 (define @t36 () (= @t1 @t12)) % 16.11/16.36 (define @t37 () (forall @t7 (=> @t21 @t5))) % 16.11/16.36 (define @t38 () (=> @t17 @t37)) % 16.11/16.36 (define @t39 () (forall @t9 @t38)) % 16.11/16.36 (define @t40 () (tptp.cons @t1 @t2)) % 16.11/16.36 (define @t41 () (tptp.ssList tptp.nil)) % 16.11/16.36 (define @t42 () (= @t1 @t2)) % 16.11/16.36 (define @t43 () (tptp.cons @t12 @t1)) % 16.11/16.36 (define @t44 () (= tptp.nil @t2)) % 16.11/16.36 (define @t45 () (tptp.hd @t2)) % 16.11/16.36 (define @t46 () (not @t44)) % 16.11/16.36 (define @t47 () (tptp.tl @t2)) % 16.11/16.36 (define @t48 () (tptp.app @t2 @t1)) % 16.11/16.36 (define @t49 () (tptp.app @t1 @t2)) % 16.11/16.36 (define @t50 () (tptp.app tptp.nil @t2)) % 16.11/16.36 (define @t51 () (=> @t17 (= @t50 @t2))) % 16.11/16.36 (define @t52 () (forall @t9 @t51)) % 16.11/16.36 (define @t53 () (tptp.leq @t1 @t2)) % 16.11/16.36 (define @t54 () (tptp.leq @t2 @t1)) % 16.11/16.36 (define @t55 () (tptp.geq @t2 @t1)) % 16.11/16.36 (define @t56 () (tptp.lt @t1 @t2)) % 16.11/16.36 (define @t57 () (tptp.lt @t2 @t1)) % 16.11/16.36 (define @t58 () (tptp.lt @t2 @t12)) % 16.11/16.36 (define @t59 () (tptp.gt @t2 @t1)) % 16.11/16.36 (define @t60 () (tptp.memberP @t12 @t2)) % 16.11/16.36 (define @t61 () (tptp.app @t12 @t2)) % 16.11/16.36 (define @t62 () (tptp.segmentP @t2 @t2)) % 16.11/16.36 (define @t63 () (forall @t9 (=> @t17 @t62))) % 16.11/16.36 (define @t64 () (tptp.segmentP (tptp.app @t61 @t10) @t1)) % 16.11/16.36 (define @t65 () (=> @t24 @t64)) % 16.11/16.36 (define @t66 () (forall @t14 (=> @t13 @t65))) % 16.11/16.36 (define @t67 () (=> @t15 @t66)) % 16.11/16.36 (define @t68 () (forall @t16 @t67)) % 16.11/16.36 (define @t69 () (=> @t21 @t68)) % 16.11/16.36 (define @t70 () (forall @t7 @t69)) % 16.11/16.36 (define @t71 () (=> @t17 @t70)) % 16.11/16.36 (define @t72 () (forall @t9 @t71)) % 16.11/16.36 (define @t73 () (tptp.cons @t2 tptp.nil)) % 16.11/16.36 (define @t74 () (tptp.hd @t1)) % 16.11/16.36 (define @t75 () (= tptp.nil @t1)) % 16.11/16.36 (define @t76 () (not @t75)) % 16.11/16.36 (define @t77 () (tptp.cons @t2 @t1)) % 16.11/16.36 (define @t78 () (= @t12 @t2)) % 16.11/16.36 (define @t79 () (= (tptp.app @t48 @t12) (tptp.app @t2 @t19))) % 16.11/16.36 (define @t80 () (forall @t16 (=> @t15 @t79))) % 16.11/16.36 (define @t81 () (=> @t21 @t80)) % 16.11/16.36 (define @t82 () (forall @t7 @t81)) % 16.11/16.36 (define @t83 () (=> @t17 @t82)) % 16.11/16.36 (define @t84 () (forall @t9 @t83)) % 16.11/16.36 (define @t85 () (and @t75 @t44)) % 16.11/16.36 (define @t86 () (= tptp.nil @t48)) % 16.11/16.36 (define @t87 () (= @t86 @t85)) % 16.11/16.36 (define @t88 () (=> @t21 @t87)) % 16.11/16.36 (define @t89 () (forall @t7 @t88)) % 16.11/16.36 (define @t90 () (=> @t17 @t89)) % 16.11/16.36 (define @t91 () (forall @t9 @t90)) % 16.11/16.36 (define @t92 () (tptp.app @t2 tptp.nil)) % 16.11/16.36 (define @t93 () (=> @t17 (= @t92 @t2))) % 16.11/16.36 (define @t94 () (forall @t9 @t93)) % 16.11/16.36 (define @t95 () (@var "X1" $$unsorted)) % 16.11/16.36 (define @t96 () (tptp.app @t95 @t27)) % 16.11/16.36 (define @t97 () (not (= @t96 @t12))) % 16.11/16.36 (define @t98 () (tptp.app @t27 @t95)) % 16.11/16.36 (define @t99 () (not (= @t98 @t10))) % 16.11/16.36 (define @t100 () (not (tptp.ssList @t95))) % 16.11/16.36 (define @t101 () (or @t100 @t99 @t97)) % 16.11/16.36 (define @t102 () (@list @t95)) % 16.11/16.36 (define @t103 () (forall @t102 @t101)) % 16.11/16.36 (define @t104 () (=> @t30 @t103)) % 16.11/16.36 (define @t105 () (forall @t31 @t104)) % 16.11/16.36 (define @t106 () (tptp.segmentP @t2 @t28)) % 16.11/16.36 (define @t107 () (tptp.segmentP @t1 @t28)) % 16.11/16.36 (define @t108 () (tptp.neq @t28 tptp.nil)) % 16.11/16.36 (define @t109 () (and @t32 @t108 @t107 @t106)) % 16.11/16.36 (define @t110 () (exists @t33 @t109)) % 16.11/16.36 (define @t111 () (not (= @t2 @t12))) % 16.11/16.36 (define @t112 () (not (= @t1 @t10))) % 16.11/16.36 (define @t113 () (not @t13)) % 16.11/16.36 (define @t114 () (or @t113 @t112 @t111 @t110 @t105 @t85)) % 16.11/16.36 (define @t115 () (forall @t14 @t114)) % 16.11/16.36 (define @t116 () (=> @t15 @t115)) % 16.11/16.36 (define @t117 () (forall @t16 @t116)) % 16.11/16.36 (define @t118 () (=> @t21 @t117)) % 16.11/16.36 (define @t119 () (forall @t7 @t118)) % 16.11/16.36 (define @t120 () (=> @t17 @t119)) % 16.11/16.36 (define @t121 () (forall @t9 @t120)) % 16.11/16.36 (define @t122 () (not @t121)) % 16.11/16.36 (define @t123 () (@var "BOUND_VARIABLE_11095" $$unsorted)) % 16.11/16.36 (define @t124 () (not (tptp.ssList @t123))) % 16.11/16.36 (define @t125 () (@var "BOUND_VARIABLE_11093" $$unsorted)) % 16.11/16.36 (define @t126 () (not (tptp.ssList @t125))) % 16.11/16.36 (define @t127 () (tptp.app @t123 @t125)) % 16.11/16.36 (define @t128 () (tptp.app @t125 @t123)) % 16.11/16.36 (define @t129 () (= tptp.nil @t128)) % 16.11/16.36 (define @t130 () (and @t129 (= tptp.nil @t127))) % 16.11/16.36 (define @t131 () (not (tptp.segmentP @t128 @t28))) % 16.11/16.36 (define @t132 () (not @t108)) % 16.11/16.36 (define @t133 () (not @t32)) % 16.11/16.36 (define @t134 () (not (forall @t33 (or @t133 @t132 @t131 (not (tptp.segmentP @t127 @t28)))))) % 16.11/16.36 (define @t135 () (not (tptp.ssList @t128))) % 16.11/16.36 (define @t136 () (not (tptp.ssList @t127))) % 16.11/16.36 (define @t137 () (or @t136 @t135 @t134 @t130 @t126 @t124)) % 16.11/16.36 (define @t138 () (not (= @t127 @t127))) % 16.11/16.36 (define @t139 () (and @t129 (= @t127 tptp.nil))) % 16.11/16.36 (define @t140 () (or @t136 @t135 @t134 @t139 @t126 @t124 @t138)) % 16.11/16.36 (define @t141 () (@list @t125 @t123)) % 16.11/16.36 (define @t142 () (not (= @t2 @t127))) % 16.11/16.36 (define @t143 () (= @t2 tptp.nil)) % 16.11/16.36 (define @t144 () (and @t129 @t143)) % 16.11/16.36 (define @t145 () (not @t106)) % 16.11/16.36 (define @t146 () (not (forall @t33 (or @t133 @t132 @t131 @t145)))) % 16.11/16.36 (define @t147 () (not @t17)) % 16.11/16.36 (define @t148 () (or @t142 @t147 @t135 @t146 @t144 @t126 @t124 @t142)) % 16.11/16.36 (define @t149 () (or @t147 @t135 @t146 @t144 @t126 @t124 @t142)) % 16.11/16.36 (define @t150 () (forall @t9 @t149)) % 16.11/16.36 (define @t151 () (forall @t141 @t150)) % 16.11/16.36 (define @t152 () (forall (@list @t125 @t123 @t2) @t149)) % 16.11/16.36 (define @t153 () (@list @t2 @t125 @t123)) % 16.11/16.36 (define @t154 () (or @t135 @t146 @t144 @t126 @t124 @t142)) % 16.11/16.36 (define @t155 () (or @t147 @t154)) % 16.11/16.36 (define @t156 () (forall @t153 @t155)) % 16.11/16.36 (define @t157 () (forall @t141 @t155)) % 16.11/16.36 (define @t158 () (forall @t141 @t154)) % 16.11/16.36 (define @t159 () (@var "BOUND_VARIABLE_11052" $$unsorted)) % 16.11/16.36 (define @t160 () (@var "BOUND_VARIABLE_11050" $$unsorted)) % 16.11/16.36 (define @t161 () (@list @t160 @t159)) % 16.11/16.36 (define @t162 () (or @t147 @t158)) % 16.11/16.36 (define @t163 () (not (= @t2 (tptp.app @t159 @t160)))) % 16.11/16.36 (define @t164 () (not (tptp.ssList @t159))) % 16.11/16.36 (define @t165 () (not (tptp.ssList @t160))) % 16.11/16.36 (define @t166 () (tptp.app @t160 @t159)) % 16.11/16.36 (define @t167 () (and (= tptp.nil @t166) @t143)) % 16.11/16.36 (define @t168 () (not (forall @t33 (or @t133 @t132 (not (tptp.segmentP @t166 @t28)) @t145)))) % 16.11/16.36 (define @t169 () (not (tptp.ssList @t166))) % 16.11/16.36 (define @t170 () (or @t169 @t168 @t167 @t165 @t164 @t163)) % 16.11/16.36 (define @t171 () (@list @t160 @t159)) % 16.11/16.36 (define @t172 () (or @t147 (forall @t171 @t170))) % 16.11/16.36 (define @t173 () (not (= @t166 @t166))) % 16.11/16.36 (define @t174 () (and (= @t166 tptp.nil) @t143)) % 16.11/16.36 (define @t175 () (or @t169 @t168 @t174 @t165 @t164 @t173 @t163)) % 16.11/16.36 (define @t176 () (not (= @t1 @t166))) % 16.11/16.36 (define @t177 () (and (= @t1 tptp.nil) @t143)) % 16.11/16.36 (define @t178 () (not @t107)) % 16.11/16.36 (define @t179 () (or @t133 @t132 @t178 @t145)) % 16.11/16.36 (define @t180 () (not (forall @t33 @t179))) % 16.11/16.36 (define @t181 () (not @t21)) % 16.11/16.36 (define @t182 () (or @t176 @t181 @t180 @t177 @t165 @t164 @t176 @t163)) % 16.11/16.36 (define @t183 () (or @t181 @t180 @t177 @t165 @t164 @t176 @t163)) % 16.11/16.36 (define @t184 () (forall @t7 @t183)) % 16.11/16.36 (define @t185 () (forall @t171 @t184)) % 16.11/16.36 (define @t186 () (forall (@list @t160 @t159 @t1) @t183)) % 16.11/16.36 (define @t187 () (@list @t1 @t160 @t159)) % 16.11/16.36 (define @t188 () (or @t165 @t164 @t176 @t163)) % 16.11/16.36 (define @t189 () (or @t181 @t180 @t177 @t188)) % 16.11/16.36 (define @t190 () (forall @t187 @t189)) % 16.11/16.36 (define @t191 () (forall @t171 @t189)) % 16.11/16.36 (define @t192 () (forall @t171 @t188)) % 16.11/16.36 (define @t193 () (@var "BOUND_VARIABLE_11010" $$unsorted)) % 16.11/16.36 (define @t194 () (@var "BOUND_VARIABLE_11008" $$unsorted)) % 16.11/16.36 (define @t195 () (@list @t194 @t193)) % 16.11/16.36 (define @t196 () (or @t181 @t180 @t177 @t192)) % 16.11/16.36 (define @t197 () (tptp.app @t193 @t194)) % 16.11/16.36 (define @t198 () (not (= @t2 @t197))) % 16.11/16.36 (define @t199 () (not (= @t1 (tptp.app @t194 @t193)))) % 16.11/16.36 (define @t200 () (not (tptp.ssList @t193))) % 16.11/16.36 (define @t201 () (not (tptp.ssList @t194))) % 16.11/16.36 (define @t202 () (or @t201 @t200 @t199 @t198)) % 16.11/16.36 (define @t203 () (@list @t194 @t193)) % 16.11/16.36 (define @t204 () (forall @t203 @t202)) % 16.11/16.36 (define @t205 () (or @t181 @t180 @t177 @t204)) % 16.11/16.36 (define @t206 () (forall @t7 @t205)) % 16.11/16.36 (define @t207 () (or @t147 @t206)) % 16.11/16.36 (define @t208 () (or @t147 @t205)) % 16.11/16.36 (define @t209 () (or @t181 @t180 @t177 @t147 @t204)) % 16.11/16.36 (define @t210 () (or @t180 @t177 @t181 @t147 @t204)) % 16.11/16.36 (define @t211 () (or @t147 @t204)) % 16.11/16.36 (define @t212 () (or @t147 @t202)) % 16.11/16.36 (define @t213 () (or @t147 @t201 @t200 @t199 @t198)) % 16.11/16.36 (define @t214 () (not (= @t2 @t2))) % 16.11/16.36 (define @t215 () (or @t147 @t214 @t201 @t200 @t199 @t198)) % 16.11/16.36 (define @t216 () (not (= @t12 @t197))) % 16.11/16.36 (define @t217 () (not @t15)) % 16.11/16.36 (define @t218 () (or @t111 @t217 @t111 @t201 @t200 @t199 @t216)) % 16.11/16.36 (define @t219 () (or @t217 @t111 @t201 @t200 @t199 @t216)) % 16.11/16.36 (define @t220 () (forall @t16 @t219)) % 16.11/16.36 (define @t221 () (forall @t203 @t220)) % 16.11/16.36 (define @t222 () (forall (@list @t194 @t193 @t12) @t219)) % 16.11/16.36 (define @t223 () (@list @t12 @t194 @t193)) % 16.11/16.36 (define @t224 () (or @t201 @t200 @t199 @t216)) % 16.11/16.36 (define @t225 () (or @t217 @t111 @t224)) % 16.11/16.36 (define @t226 () (forall @t223 @t225)) % 16.11/16.36 (define @t227 () (forall @t203 @t225)) % 16.11/16.36 (define @t228 () (forall @t203 @t224)) % 16.11/16.36 (define @t229 () (@var "BOUND_VARIABLE_10970" $$unsorted)) % 16.11/16.36 (define @t230 () (@var "BOUND_VARIABLE_10968" $$unsorted)) % 16.11/16.36 (define @t231 () (@list @t230 @t229)) % 16.11/16.36 (define @t232 () (or @t217 @t111 @t228)) % 16.11/16.36 (define @t233 () (not (= @t12 (tptp.app @t229 @t230)))) % 16.11/16.36 (define @t234 () (tptp.app @t230 @t229)) % 16.11/16.36 (define @t235 () (not (= @t1 @t234))) % 16.11/16.36 (define @t236 () (not (tptp.ssList @t229))) % 16.11/16.36 (define @t237 () (not (tptp.ssList @t230))) % 16.11/16.36 (define @t238 () (or @t237 @t236 @t235 @t233)) % 16.11/16.36 (define @t239 () (@list @t230 @t229)) % 16.11/16.36 (define @t240 () (forall @t239 @t238)) % 16.11/16.36 (define @t241 () (or @t217 @t111 @t240)) % 16.11/16.36 (define @t242 () (forall @t16 @t241)) % 16.11/16.36 (define @t243 () (or @t180 @t177 @t181 @t242)) % 16.11/16.36 (define @t244 () (or @t180 @t177 @t181 @t241)) % 16.11/16.36 (define @t245 () (or @t217 @t111 @t180 @t177 @t181 @t240)) % 16.11/16.36 (define @t246 () (or @t111 @t180 @t177 @t181 @t240)) % 16.11/16.36 (define @t247 () (or @t181 @t240)) % 16.11/16.36 (define @t248 () (or @t181 @t238)) % 16.11/16.36 (define @t249 () (or @t181 @t237 @t236 @t235 @t233)) % 16.11/16.36 (define @t250 () (not (= @t1 @t1))) % 16.11/16.36 (define @t251 () (or @t181 @t250 @t237 @t236 @t235 @t233)) % 16.11/16.36 (define @t252 () (not (= @t10 @t234))) % 16.11/16.36 (define @t253 () (or @t112 @t113 @t112 @t237 @t236 @t252 @t233)) % 16.11/16.36 (define @t254 () (or @t113 @t112 @t237 @t236 @t252 @t233)) % 16.11/16.36 (define @t255 () (forall @t14 @t254)) % 16.11/16.36 (define @t256 () (forall @t239 @t255)) % 16.11/16.36 (define @t257 () (forall (@list @t230 @t229 @t10) @t254)) % 16.11/16.36 (define @t258 () (@list @t10 @t230 @t229)) % 16.11/16.36 (define @t259 () (or @t237 @t236 @t252 @t233)) % 16.11/16.36 (define @t260 () (or @t113 @t112 @t259)) % 16.11/16.36 (define @t261 () (forall @t258 @t260)) % 16.11/16.36 (define @t262 () (forall @t239 @t260)) % 16.11/16.36 (define @t263 () (forall @t239 @t259)) % 16.11/16.36 (define @t264 () (@var "BOUND_VARIABLE_10947" $$unsorted)) % 16.11/16.36 (define @t265 () (or @t113 @t112 @t263)) % 16.11/16.36 (define @t266 () (not (= @t12 (tptp.app @t264 @t27)))) % 16.11/16.36 (define @t267 () (not (= @t10 (tptp.app @t27 @t264)))) % 16.11/16.36 (define @t268 () (not (tptp.ssList @t264))) % 16.11/16.36 (define @t269 () (not @t30)) % 16.11/16.36 (define @t270 () (or @t269 @t268 @t267 @t266)) % 16.11/16.36 (define @t271 () (@list @t27 @t264)) % 16.11/16.36 (define @t272 () (forall @t271 @t270)) % 16.11/16.36 (define @t273 () (or @t113 @t112 @t272)) % 16.11/16.36 (define @t274 () (forall @t14 @t273)) % 16.11/16.36 (define @t275 () (or @t111 @t180 @t177 @t274)) % 16.11/16.36 (define @t276 () (or @t111 @t180 @t177 @t273)) % 16.11/16.36 (define @t277 () (or @t113 @t112 @t111 @t180 @t272 @t177)) % 16.11/16.36 (define @t278 () (or @t268 @t267 @t266)) % 16.11/16.36 (define @t279 () (or @t269 @t278)) % 16.11/16.36 (define @t280 () (forall @t271 @t279)) % 16.11/16.36 (define @t281 () (@list @t264)) % 16.11/16.36 (define @t282 () (forall @t281 @t279)) % 16.11/16.36 (define @t283 () (forall @t281 @t278)) % 16.11/16.36 (define @t284 () (or @t269 @t283)) % 16.11/16.36 (define @t285 () (forall @t102 (or @t100 (not (= @t10 @t98)) (not (= @t12 @t96))))) % 16.11/16.36 (define @t286 () (forall @t33 (not @t109))) % 16.11/16.36 (define @t287 () (not @t286)) % 16.11/16.36 (define @t288 () (forall @t141 @t137)) % 16.11/16.36 (define @t289 () (@quantifiers_skolemize @t288 1)) % 16.11/16.36 (define @t290 () (tptp.ssList @t289)) % 16.11/16.36 (define @t291 () (not @t290)) % 16.11/16.36 (define @t292 () (@quantifiers_skolemize @t288 0)) % 16.11/16.36 (define @t293 () (tptp.ssList @t292)) % 16.11/16.36 (define @t294 () (not @t293)) % 16.11/16.36 (define @t295 () (tptp.app @t289 @t292)) % 16.11/16.36 (define @t296 () (= tptp.nil @t295)) % 16.11/16.36 (define @t297 () (tptp.app @t292 @t289)) % 16.11/16.36 (define @t298 () (= tptp.nil @t297)) % 16.11/16.36 (define @t299 () (and @t298 @t296)) % 16.11/16.36 (define @t300 () (forall @t33 (or @t133 @t132 (not (tptp.segmentP @t297 @t28)) (not (tptp.segmentP @t295 @t28))))) % 16.11/16.36 (define @t301 () (not @t300)) % 16.11/16.36 (define @t302 () (or (not (tptp.ssList @t295)) (not (tptp.ssList @t297)) @t301 @t299 @t294 @t291)) % 16.11/16.36 (define @t303 () (@list true)) % 16.11/16.36 (define @t304 () (@list @t302)) % 16.11/16.36 (define @t305 () (@var "BOUND_VARIABLE_10598" $$unsorted)) % 16.11/16.36 (define @t306 () (and (= @t305 tptp.nil) @t143)) % 16.11/16.36 (define @t307 () (= tptp.nil (tptp.app @t2 @t305))) % 16.11/16.36 (define @t308 () (= @t307 @t306)) % 16.11/16.36 (define @t309 () (not (tptp.ssList @t305))) % 16.11/16.36 (define @t310 () (or @t147 @t309 @t308)) % 16.11/16.36 (define @t311 () (or @t309 @t308)) % 16.11/16.36 (define @t312 () (or @t147 @t311)) % 16.11/16.36 (define @t313 () (@list @t2 @t305)) % 16.11/16.36 (define @t314 () (forall @t313 @t312)) % 16.11/16.36 (define @t315 () (@list @t305)) % 16.11/16.36 (define @t316 () (forall @t315 @t312)) % 16.11/16.36 (define @t317 () (forall @t315 @t311)) % 16.11/16.36 (define @t318 () (@list @t1)) % 16.11/16.36 (define @t319 () (or @t147 @t317)) % 16.11/16.36 (define @t320 () (= @t86 @t177)) % 16.11/16.36 (define @t321 () (forall @t7 (or @t181 @t320))) % 16.11/16.36 (define @t322 () (= tptp.nil @t289)) % 16.11/16.36 (define @t323 () (= @t292 tptp.nil)) % 16.11/16.36 (define @t324 () (and @t322 @t323)) % 16.11/16.36 (define @t325 () (= @t298 @t324)) % 16.11/16.36 (define @t326 () (or @t294 @t291 @t325)) % 16.11/16.36 (define @t327 () (forall @t313 (or @t147 @t309 (= @t307 (and (= tptp.nil @t305) @t143))))) % 16.11/16.36 (define @t328 () (= tptp.nil @t292)) % 16.11/16.36 (define @t329 () (and @t322 @t328)) % 16.11/16.36 (define @t330 () (= @t298 @t329)) % 16.11/16.36 (define @t331 () (or @t294 @t291 @t330)) % 16.11/16.36 (define @t332 () (@list false)) % 16.11/16.36 (define @t333 () (@list @t327)) % 16.11/16.36 (define @t334 () (@list false false false)) % 16.11/16.36 (define @t335 () (@var "BOUND_VARIABLE_9105" $$unsorted)) % 16.11/16.36 (define @t336 () (= (tptp.neq @t2 @t335) (not (= @t2 @t335)))) % 16.11/16.36 (define @t337 () (not (tptp.ssList @t335))) % 16.11/16.36 (define @t338 () (or @t147 @t337 @t336)) % 16.11/16.36 (define @t339 () (or @t337 @t336)) % 16.11/16.36 (define @t340 () (or @t147 @t339)) % 16.11/16.36 (define @t341 () (@list @t2 @t335)) % 16.11/16.36 (define @t342 () (forall @t341 @t340)) % 16.11/16.36 (define @t343 () (@list @t335)) % 16.11/16.36 (define @t344 () (forall @t343 @t340)) % 16.11/16.36 (define @t345 () (forall @t343 @t339)) % 16.11/16.36 (define @t346 () (or @t147 @t345)) % 16.11/16.36 (define @t347 () (forall @t7 (or @t181 @t5))) % 16.11/16.36 (define @t348 () (tptp.neq @t292 tptp.nil)) % 16.11/16.36 (define @t349 () (not @t328)) % 16.11/16.36 (define @t350 () (not @t323)) % 16.11/16.36 (define @t351 () (= @t348 @t350)) % 16.11/16.36 (define @t352 () (not @t41)) % 16.11/16.36 (define @t353 () (or @t294 @t352 @t351)) % 16.11/16.36 (define @t354 () (forall @t341 @t338)) % 16.11/16.36 (define @t355 () (= @t349 @t348)) % 16.11/16.36 (define @t356 () (or @t294 @t352 @t355)) % 16.11/16.36 (define @t357 () (@list @t354)) % 16.11/16.36 (define @t358 () (@list @t292)) % 16.11/16.36 (define @t359 () (@var "BOUND_VARIABLE_10204" $$unsorted)) % 16.11/16.36 (define @t360 () (@var "BOUND_VARIABLE_10208" $$unsorted)) % 16.11/16.36 (define @t361 () (@var "BOUND_VARIABLE_10206" $$unsorted)) % 16.11/16.36 (define @t362 () (tptp.segmentP (tptp.app (tptp.app @t361 @t2) @t360) @t359)) % 16.11/16.36 (define @t363 () (not (tptp.ssList @t360))) % 16.11/16.36 (define @t364 () (not (tptp.ssList @t361))) % 16.11/16.36 (define @t365 () (not (tptp.segmentP @t2 @t359))) % 16.11/16.36 (define @t366 () (not (tptp.ssList @t359))) % 16.11/16.36 (define @t367 () (or @t366 @t365 @t364 @t363 @t362)) % 16.11/16.36 (define @t368 () (or @t147 @t367)) % 16.11/16.36 (define @t369 () (forall (@list @t2 @t359 @t361 @t360) @t368)) % 16.11/16.36 (define @t370 () (@list @t359 @t361 @t360)) % 16.11/16.36 (define @t371 () (forall @t370 @t368)) % 16.11/16.36 (define @t372 () (forall @t370 @t367)) % 16.11/16.36 (define @t373 () (@var "BOUND_VARIABLE_10185" $$unsorted)) % 16.11/16.36 (define @t374 () (@var "BOUND_VARIABLE_10183" $$unsorted)) % 16.11/16.36 (define @t375 () (or @t147 @t372)) % 16.11/16.36 (define @t376 () (tptp.segmentP (tptp.app (tptp.app @t374 @t2) @t373) @t1)) % 16.11/16.36 (define @t377 () (not (tptp.ssList @t373))) % 16.11/16.36 (define @t378 () (not (tptp.ssList @t374))) % 16.11/16.36 (define @t379 () (not @t24)) % 16.11/16.36 (define @t380 () (or @t181 @t379 @t378 @t377 @t376)) % 16.11/16.36 (define @t381 () (@list @t1 @t374 @t373)) % 16.11/16.36 (define @t382 () (forall @t381 @t380)) % 16.11/16.36 (define @t383 () (or @t378 @t377 @t376)) % 16.11/16.36 (define @t384 () (or @t181 @t379 @t383)) % 16.11/16.36 (define @t385 () (forall @t381 @t384)) % 16.11/16.36 (define @t386 () (@list @t374 @t373)) % 16.11/16.36 (define @t387 () (forall @t386 @t384)) % 16.11/16.36 (define @t388 () (forall @t386 @t383)) % 16.11/16.36 (define @t389 () (@var "BOUND_VARIABLE_10166" $$unsorted)) % 16.11/16.36 (define @t390 () (or @t181 @t379 @t388)) % 16.11/16.36 (define @t391 () (tptp.segmentP (tptp.app @t61 @t389) @t1)) % 16.11/16.36 (define @t392 () (not (tptp.ssList @t389))) % 16.11/16.36 (define @t393 () (or @t217 @t392 @t391)) % 16.11/16.36 (define @t394 () (@list @t12 @t389)) % 16.11/16.36 (define @t395 () (forall @t394 @t393)) % 16.11/16.36 (define @t396 () (or @t181 @t379 @t395)) % 16.11/16.36 (define @t397 () (or @t379 @t395)) % 16.11/16.36 (define @t398 () (or @t392 @t391)) % 16.11/16.36 (define @t399 () (or @t217 @t398)) % 16.11/16.36 (define @t400 () (forall @t394 @t399)) % 16.11/16.36 (define @t401 () (@list @t389)) % 16.11/16.36 (define @t402 () (forall @t401 @t399)) % 16.11/16.36 (define @t403 () (forall @t401 @t398)) % 16.11/16.36 (define @t404 () (or @t217 @t403)) % 16.11/16.36 (define @t405 () (or @t113 @t64)) % 16.11/16.36 (define @t406 () (forall @t14 @t405)) % 16.11/16.36 (define @t407 () (or @t217 @t406)) % 16.11/16.36 (define @t408 () (forall @t16 @t407)) % 16.11/16.36 (define @t409 () (or @t379 @t408)) % 16.11/16.36 (define @t410 () (or @t379 @t407)) % 16.11/16.36 (define @t411 () (or @t217 @t379 @t406)) % 16.11/16.36 (define @t412 () (or @t379 @t406)) % 16.11/16.36 (define @t413 () (or @t379 @t405)) % 16.11/16.36 (define @t414 () (or @t113 @t379 @t64)) % 16.11/16.36 (define @t415 () (tptp.segmentP @t292 @t292)) % 16.11/16.36 (define @t416 () (or @t294 @t415)) % 16.11/16.36 (define @t417 () (@list false false)) % 16.11/16.36 (define @t418 () (tptp.app @t295 tptp.nil)) % 16.11/16.36 (define @t419 () (tptp.segmentP @t418 @t292)) % 16.11/16.36 (define @t420 () (not @t415)) % 16.11/16.36 (define @t421 () (or @t294 @t294 @t420 @t291 @t352 @t419)) % 16.11/16.36 (define @t422 () (@list false false false false false)) % 16.11/16.36 (define @t423 () (@var "BOUND_VARIABLE_10570" $$unsorted)) % 16.11/16.36 (define @t424 () (@var "BOUND_VARIABLE_10568" $$unsorted)) % 16.11/16.36 (define @t425 () (= (tptp.app (tptp.app @t2 @t424) @t423) (tptp.app @t2 (tptp.app @t424 @t423)))) % 16.11/16.36 (define @t426 () (not (tptp.ssList @t423))) % 16.11/16.36 (define @t427 () (not (tptp.ssList @t424))) % 16.11/16.36 (define @t428 () (or @t427 @t426 @t425)) % 16.11/16.36 (define @t429 () (or @t147 @t428)) % 16.11/16.36 (define @t430 () (forall (@list @t2 @t424 @t423) @t429)) % 16.11/16.36 (define @t431 () (@list @t424 @t423)) % 16.11/16.36 (define @t432 () (forall @t431 @t429)) % 16.11/16.36 (define @t433 () (forall @t431 @t428)) % 16.11/16.36 (define @t434 () (@var "BOUND_VARIABLE_10550" $$unsorted)) % 16.11/16.36 (define @t435 () (or @t147 @t433)) % 16.11/16.36 (define @t436 () (= (tptp.app @t48 @t434) (tptp.app @t2 (tptp.app @t1 @t434)))) % 16.11/16.36 (define @t437 () (not (tptp.ssList @t434))) % 16.11/16.36 (define @t438 () (or @t181 @t437 @t436)) % 16.11/16.36 (define @t439 () (@list @t1 @t434)) % 16.11/16.36 (define @t440 () (forall @t439 @t438)) % 16.11/16.36 (define @t441 () (or @t437 @t436)) % 16.11/16.36 (define @t442 () (or @t181 @t441)) % 16.11/16.36 (define @t443 () (forall @t439 @t442)) % 16.11/16.36 (define @t444 () (@list @t434)) % 16.11/16.36 (define @t445 () (forall @t444 @t442)) % 16.11/16.36 (define @t446 () (forall @t444 @t441)) % 16.11/16.36 (define @t447 () (or @t181 @t446)) % 16.11/16.36 (define @t448 () (forall @t16 (or @t217 @t79))) % 16.11/16.36 (define @t449 () (tptp.app @t292 tptp.nil)) % 16.11/16.36 (define @t450 () (tptp.app @t289 @t449)) % 16.11/16.36 (define @t451 () (= @t418 @t450)) % 16.11/16.36 (define @t452 () (or @t291 @t294 @t352 @t451)) % 16.11/16.36 (define @t453 () (@list false false false false)) % 16.11/16.36 (define @t454 () (= @t2 @t92)) % 16.11/16.36 (define @t455 () (= @t292 @t449)) % 16.11/16.36 (define @t456 () (or @t294 @t455)) % 16.11/16.36 (define @t457 () (tptp.segmentP @t295 @t292)) % 16.11/16.36 (define @t458 () (tptp.app tptp.nil @t292)) % 16.11/16.36 (define @t459 () (tptp.app @t458 @t289)) % 16.11/16.36 (define @t460 () (tptp.segmentP @t459 @t292)) % 16.11/16.36 (define @t461 () (or @t294 @t294 @t420 @t352 @t291 @t460)) % 16.11/16.36 (define @t462 () (= @t2 @t50)) % 16.11/16.36 (define @t463 () (= @t292 @t458)) % 16.11/16.36 (define @t464 () (or @t294 @t463)) % 16.11/16.36 (define @t465 () (tptp.segmentP @t297 @t292)) % 16.11/16.36 (define @t466 () (not @t457)) % 16.11/16.36 (define @t467 () (not @t465)) % 16.11/16.36 (define @t468 () (not @t348)) % 16.11/16.36 (define @t469 () (or @t294 @t468 @t467 @t466)) % 16.11/16.36 (define @t470 () (not @t355)) % 16.11/16.36 (define @t471 () (@list true false)) % 16.11/16.36 (define @t472 () (tptp.neq @t289 tptp.nil)) % 16.11/16.36 (define @t473 () (not @t322)) % 16.11/16.36 (define @t474 () (= @t289 tptp.nil)) % 16.11/16.36 (define @t475 () (not @t474)) % 16.11/16.36 (define @t476 () (= @t472 @t475)) % 16.11/16.36 (define @t477 () (or @t291 @t352 @t476)) % 16.11/16.36 (define @t478 () (= @t473 @t472)) % 16.11/16.36 (define @t479 () (or @t291 @t352 @t478)) % 16.11/16.36 (define @t480 () (@list @t289)) % 16.11/16.36 (define @t481 () (tptp.segmentP @t289 @t289)) % 16.11/16.36 (define @t482 () (or @t291 @t481)) % 16.11/16.36 (define @t483 () (tptp.app tptp.nil @t289)) % 16.11/16.36 (define @t484 () (= @t289 @t483)) % 16.11/16.36 (define @t485 () (or @t291 @t484)) % 16.11/16.36 (define @t486 () (tptp.app tptp.nil tptp.nil)) % 16.11/16.36 (define @t487 () (= tptp.nil @t486)) % 16.11/16.36 (define @t488 () (= tptp.nil tptp.nil)) % 16.11/16.36 (define @t489 () (and @t488 @t488)) % 16.11/16.36 (define @t490 () (= @t487 @t489)) % 16.11/16.36 (define @t491 () (or @t352 @t352 @t490)) % 16.11/16.36 (define @t492 () (or @t352 @t352 @t487)) % 16.11/16.36 (define @t493 () (tptp.app @t486 @t289)) % 16.11/16.36 (define @t494 () (= @t289 (tptp.app @t289 tptp.nil))) % 16.11/16.36 (define @t495 () (or @t291 @t494)) % 16.11/16.36 (define @t496 () (tptp.segmentP @t295 @t289)) % 16.11/16.36 (define @t497 () (= @t493 (tptp.app tptp.nil @t483))) % 16.11/16.36 (define @t498 () (or @t352 @t352 @t291 @t497)) % 16.11/16.36 (define @t499 () (tptp.segmentP @t297 @t289)) % 16.11/16.36 (define @t500 () (not @t496)) % 16.11/16.36 (define @t501 () (not @t499)) % 16.11/16.36 (define @t502 () (not @t472)) % 16.11/16.36 (define @t503 () (or @t291 @t502 @t501 @t500)) % 16.11/16.36 (define @t504 () (not @t478)) % 16.11/16.36 (define @t505 () (@list @t322 @t328)) % 16.11/16.36 (define @t506 () (and @t328 @t474)) % 16.11/16.36 (define @t507 () (= @t296 @t506)) % 16.11/16.36 (define @t508 () (or @t291 @t294 @t507)) % 16.11/16.36 (define @t509 () (and @t328 @t322)) % 16.11/16.36 (define @t510 () (= @t296 @t509)) % 16.11/16.36 (define @t511 () (or @t291 @t294 @t510)) % 16.11/16.36 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 16.11/16.36 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 16.11/16.36 (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))))))))))) % 16.11/16.36 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 16.11/16.36 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 16.11/16.36 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 16.11/16.36 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 16.11/16.36 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 16.11/16.36 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 16.11/16.36 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 16.11/16.36 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 16.11/16.36 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 16.11/16.36 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 16.11/16.36 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 16.11/16.36 (assume @p15 @t39) % 16.11/16.36 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 16.11/16.36 (assume @p17 @t41) % 16.11/16.36 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 16.11/16.36 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t42))))))))))) % 16.11/16.36 (assume @p20 (forall @t9 (=> @t17 (or @t44 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t43 @t2))))))))) % 16.11/16.36 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 16.11/16.36 (assume @p22 (forall @t9 (=> @t17 (=> @t46 (tptp.ssItem @t45))))) % 16.11/16.36 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 16.11/16.36 (assume @p24 (forall @t9 (=> @t17 (=> @t46 (tptp.ssList @t47))))) % 16.11/16.36 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 16.11/16.36 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t48)))))) % 16.11/16.36 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t49) (tptp.app @t43 @t2))))))))) % 16.11/16.36 (assume @p28 @t52) % 16.11/16.36 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t54 @t53) @t3)))))) % 16.11/16.36 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t26) (tptp.leq @t2 @t12))))))))) % 16.11/16.36 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 16.11/16.36 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 @t53)))))) % 16.11/16.36 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not @t56))))))) % 16.11/16.36 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 @t35) @t58)))))))) % 16.11/16.36 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 @t56)))))) % 16.11/16.36 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t60))))))))) % 16.11/16.36 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t60))))))))) % 16.11/16.36 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 16.11/16.36 (assume @p39 (not (tptp.singletonP tptp.nil))) % 16.11/16.36 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 16.11/16.36 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 16.11/16.36 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 16.11/16.36 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 16.11/16.36 (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)))))))))))) % 16.11/16.36 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 16.11/16.36 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t44)))) % 16.11/16.36 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 16.11/16.36 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 16.11/16.36 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 16.11/16.36 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t61 @t1))))))))) % 16.11/16.36 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 16.11/16.36 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t44)))) % 16.11/16.36 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 16.11/16.36 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 16.11/16.36 (assume @p55 @t63) % 16.11/16.36 (assume @p56 @t72) % 16.11/16.36 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 16.11/16.36 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t44)))) % 16.11/16.36 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t73)))) % 16.11/16.36 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 16.11/16.36 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t73)))) % 16.11/16.36 (assume @p62 (tptp.totalorderP tptp.nil)) % 16.11/16.36 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t73)))) % 16.11/16.36 (assume @p64 (tptp.strictorderP tptp.nil)) % 16.11/16.36 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t73)))) % 16.11/16.36 (assume @p66 (tptp.totalorderedP tptp.nil)) % 16.11/16.36 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t77) (or @t75 (and @t76 (tptp.totalorderedP @t1) (tptp.leq @t2 @t74))))))))) % 16.11/16.36 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t73)))) % 16.11/16.36 (assume @p69 (tptp.strictorderedP tptp.nil)) % 16.11/16.36 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t77) (or @t75 (and @t76 (tptp.strictorderedP @t1) (tptp.lt @t2 @t74))))))))) % 16.11/16.36 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t73)))) % 16.11/16.36 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 16.11/16.36 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t73)))) % 16.11/16.36 (assume @p74 (tptp.equalelemsP tptp.nil)) % 16.11/16.36 (assume @p75 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t6 (= @t45 @t1))))))) % 16.11/16.36 (assume @p76 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t21 (= @t47 @t1))))))) % 16.11/16.36 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t76 @t46 (= @t74 @t45) (= (tptp.tl @t1) @t47)) @t42)))))) % 16.11/16.36 (assume @p78 (forall @t9 (=> @t17 (=> @t46 (= (tptp.cons @t45 @t47) @t2))))) % 16.11/16.36 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t48) @t78)))))))) % 16.11/16.36 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t49) @t78)))))))) % 16.11/16.36 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 16.11/16.36 (assume @p82 @t84) % 16.11/16.36 (assume @p83 @t91) % 16.11/16.36 (assume @p84 @t94) % 16.11/16.36 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.hd @t48) @t45))))))) % 16.11/16.36 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.tl @t48) (tptp.app @t47 @t1)))))))) % 16.11/16.36 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t55 (tptp.geq @t1 @t2)) @t3)))))) % 16.11/16.36 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 16.11/16.36 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 16.11/16.36 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 16.11/16.36 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t35) @t58)))))))) % 16.11/16.36 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (or @t3 @t57))))))) % 16.11/16.36 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 (and @t4 @t54))))))) % 16.11/16.36 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t59 (not (tptp.gt @t1 @t2)))))))) % 16.11/16.36 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t59 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 16.11/16.36 (assume @p96 @t122) % 16.11/16.36 (assume @p97 true) % 16.11/16.36 (step @p98 :rule aci_norm :args ((= (or @t136 @t135 @t134 @t130 @t126 @t124 false) @t137))) % 16.11/16.36 (step @p99 :rule evaluate :args ((not true))) % 16.11/16.36 (step @p100 :rule eq-refl :args (@t127)) % 16.11/16.36 (step @p101 :rule cong :premises (@p100) :args (@t138)) % 16.11/16.36 (step @p102 :rule trans :premises (@p101 @p99)) % 16.11/16.36 (step @p103 :rule refl :args (@t124)) % 16.11/16.36 (step @p104 :rule refl :args (@t126)) % 16.11/16.36 (step @p105 :rule eq-symm :args (@t127 tptp.nil)) % 16.11/16.36 (step @p106 :rule refl :args (@t129)) % 16.11/16.36 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t139)) % 16.11/16.36 (step @p108 :rule refl :args (@t134)) % 16.11/16.36 (step @p109 :rule refl :args (@t135)) % 16.11/16.36 (step @p110 :rule refl :args (@t136)) % 16.11/16.36 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108 @p107 @p104 @p103 @p102) :args (@t140)) % 16.11/16.36 (step @p112 :rule trans :premises (@p111 @p98)) % 16.11/16.36 (step @p113 :rule cong :premises (@p112) :args ((forall @t141 @t140))) % 16.11/16.36 (step @p114 :rule quant-var-elim-eq :args ((= (forall @t9 @t148) @t140))) % 16.11/16.36 (step @p115 :rule aci_norm :args ((= @t149 @t148))) % 16.11/16.36 (step @p116 :rule cong :premises (@p115) :args (@t150)) % 16.11/16.36 (step @p117 :rule trans :premises (@p116 @p114)) % 16.11/16.36 (step @p118 :rule cong :premises (@p117) :args (@t151)) % 16.11/16.36 (step @p119 :rule quant-merge-prenex :args ((= @t151 @t152))) % 16.11/16.36 (step @p120 :rule symm :premises (@p119)) % 16.11/16.36 (step @p121 :rule quant_var_reordering :args ((= (forall @t153 @t149) @t152))) % 16.11/16.36 (step @p122 :rule trans :premises (@p121 @p120 @p118)) % 16.11/16.36 (step @p123 :rule trans :premises (@p122 @p113)) % 16.11/16.36 (step @p124 :rule aci_norm :args ((= @t155 @t149))) % 16.11/16.36 (step @p125 :rule cong :premises (@p124) :args (@t156)) % 16.11/16.36 (step @p126 :rule trans :premises (@p125 @p123)) % 16.11/16.36 (step @p127 :rule quant-merge-prenex :args ((= (forall @t9 @t157) @t156))) % 16.11/16.36 (step @p128 :rule alpha_equiv :args (@t158 (@list @t125 @t123) @t161)) % 16.11/16.36 (step @p129 :rule refl :args (@t147)) % 16.11/16.36 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t162)) % 16.11/16.36 (step @p131 :rule quant-miniscope-or :args ((= @t157 @t162))) % 16.11/16.36 (step @p132 :rule trans :premises (@p131 @p130)) % 16.11/16.36 (step @p133 :rule symm :premises (@p132)) % 16.11/16.36 (step @p134 :rule cong :premises (@p133) :args ((forall @t9 @t172))) % 16.11/16.36 (step @p135 :rule trans :premises (@p134 @p127)) % 16.11/16.36 (step @p136 :rule trans :premises (@p135 @p126)) % 16.11/16.36 (step @p137 :rule aci_norm :args ((= (or @t147 @t172) @t172))) % 16.11/16.36 (step @p138 :rule bool-impl-elim :args (@t17 @t172)) % 16.11/16.36 (step @p139 :rule trans :premises (@p138 @p137)) % 16.11/16.36 (step @p140 :rule cong :premises (@p139) :args ((forall @t9 (=> @t17 @t172)))) % 16.11/16.36 (step @p141 :rule trans :premises (@p140 @p136)) % 16.11/16.36 (step @p142 :rule aci_norm :args ((= (or @t169 @t168 @t167 @t165 @t164 false @t163) @t170))) % 16.11/16.36 (step @p143 :rule refl :args (@t163)) % 16.11/16.36 (step @p144 :rule eq-refl :args (@t166)) % 16.11/16.36 (step @p145 :rule cong :premises (@p144) :args (@t173)) % 16.11/16.36 (step @p146 :rule trans :premises (@p145 @p99)) % 16.11/16.36 (step @p147 :rule refl :args (@t164)) % 16.11/16.36 (step @p148 :rule refl :args (@t165)) % 16.11/16.36 (step @p149 :rule refl :args (@t143)) % 16.11/16.36 (step @p150 :rule eq-symm :args (@t166 tptp.nil)) % 16.11/16.36 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t174)) % 16.11/16.36 (step @p152 :rule refl :args (@t168)) % 16.11/16.36 (step @p153 :rule refl :args (@t169)) % 16.11/16.36 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151 @p148 @p147 @p146 @p143) :args (@t175)) % 16.11/16.36 (step @p155 :rule trans :premises (@p154 @p142)) % 16.11/16.36 (step @p156 :rule cong :premises (@p155) :args ((forall @t171 @t175))) % 16.11/16.36 (step @p157 :rule quant-var-elim-eq :args ((= (forall @t7 @t182) @t175))) % 16.11/16.36 (step @p158 :rule aci_norm :args ((= @t183 @t182))) % 16.11/16.36 (step @p159 :rule cong :premises (@p158) :args (@t184)) % 16.11/16.36 (step @p160 :rule trans :premises (@p159 @p157)) % 16.11/16.36 (step @p161 :rule cong :premises (@p160) :args (@t185)) % 16.11/16.36 (step @p162 :rule quant-merge-prenex :args ((= @t185 @t186))) % 16.11/16.36 (step @p163 :rule symm :premises (@p162)) % 16.11/16.36 (step @p164 :rule quant_var_reordering :args ((= (forall @t187 @t183) @t186))) % 16.11/16.36 (step @p165 :rule trans :premises (@p164 @p163 @p161)) % 16.11/16.36 (step @p166 :rule trans :premises (@p165 @p156)) % 16.11/16.36 (step @p167 :rule aci_norm :args ((= @t189 @t183))) % 16.11/16.36 (step @p168 :rule cong :premises (@p167) :args (@t190)) % 16.11/16.36 (step @p169 :rule trans :premises (@p168 @p166)) % 16.11/16.36 (step @p170 :rule quant-merge-prenex :args ((= (forall @t7 @t191) @t190))) % 16.11/16.36 (step @p171 :rule alpha_equiv :args (@t192 @t161 @t195)) % 16.11/16.36 (step @p172 :rule refl :args (@t177)) % 16.11/16.36 (step @p173 :rule refl :args (@t180)) % 16.11/16.36 (step @p174 :rule refl :args (@t181)) % 16.11/16.36 (step @p175 :rule nary_cong :premises (@p174 @p173 @p172 @p171) :args (@t196)) % 16.11/16.36 (step @p176 :rule quant-miniscope-or :args ((= @t191 @t196))) % 16.11/16.36 (step @p177 :rule trans :premises (@p176 @p175)) % 16.11/16.36 (step @p178 :rule symm :premises (@p177)) % 16.11/16.36 (step @p179 :rule cong :premises (@p178) :args (@t206)) % 16.11/16.36 (step @p180 :rule trans :premises (@p179 @p170)) % 16.11/16.36 (step @p181 :rule trans :premises (@p180 @p169)) % 16.11/16.36 (step @p182 :rule refl :args (@t147)) % 16.11/16.36 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t207)) % 16.11/16.36 (step @p184 :rule quant-miniscope-or :args ((= (forall @t7 @t208) @t207))) % 16.11/16.36 (step @p185 :rule aci_norm :args ((= @t209 @t208))) % 16.11/16.36 (step @p186 :rule cong :premises (@p185) :args ((forall @t7 @t209))) % 16.11/16.36 (step @p187 :rule trans :premises (@p186 @p184)) % 16.11/16.36 (step @p188 :rule trans :premises (@p187 @p183)) % 16.11/16.36 (step @p189 :rule aci_norm :args ((= (or @t181 @t210) @t209))) % 16.11/16.36 (step @p190 :rule bool-impl-elim :args (@t21 @t210)) % 16.11/16.36 (step @p191 :rule trans :premises (@p190 @p189)) % 16.11/16.36 (step @p192 :rule cong :premises (@p191) :args ((forall @t7 (=> @t21 @t210)))) % 16.11/16.36 (step @p193 :rule trans :premises (@p192 @p188)) % 16.11/16.36 (step @p194 :rule aci_norm :args ((= (or @t180 @t177 @t181 @t211) @t210))) % 16.11/16.36 (step @p195 :rule quant-miniscope-or :args ((= (forall @t203 @t212) @t211))) % 16.11/16.36 (step @p196 :rule aci_norm :args ((= @t213 @t212))) % 16.11/16.36 (step @p197 :rule cong :premises (@p196) :args ((forall @t203 @t213))) % 16.11/16.36 (step @p198 :rule trans :premises (@p197 @p195)) % 16.11/16.36 (step @p199 :rule aci_norm :args ((= (or @t147 false @t201 @t200 @t199 @t198) @t213))) % 16.11/16.36 (step @p200 :rule refl :args (@t198)) % 16.11/16.36 (step @p201 :rule refl :args (@t199)) % 16.11/16.36 (step @p202 :rule refl :args (@t200)) % 16.11/16.36 (step @p203 :rule refl :args (@t201)) % 16.11/16.36 (step @p204 :rule eq-refl :args (@t2)) % 16.11/16.36 (step @p205 :rule cong :premises (@p204) :args (@t214)) % 16.11/16.36 (step @p206 :rule trans :premises (@p205 @p99)) % 16.11/16.36 (step @p207 :rule nary_cong :premises (@p182 @p206 @p203 @p202 @p201 @p200) :args (@t215)) % 16.11/16.36 (step @p208 :rule trans :premises (@p207 @p199)) % 16.11/16.36 (step @p209 :rule cong :premises (@p208) :args ((forall @t203 @t215))) % 16.11/16.36 (step @p210 :rule trans :premises (@p209 @p198)) % 16.11/16.36 (step @p211 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t78) @t217 @t111 @t201 @t200 @t199 @t216)) @t215))) % 16.11/16.36 (step @p212 :rule refl :args (@t216)) % 16.11/16.36 (step @p213 :rule refl :args (@t199)) % 16.11/16.36 (step @p214 :rule refl :args (@t200)) % 16.11/16.36 (step @p215 :rule refl :args (@t201)) % 16.11/16.36 (step @p216 :rule refl :args (@t111)) % 16.11/16.36 (step @p217 :rule refl :args (@t217)) % 16.11/16.36 (step @p218 :rule eq-symm :args (@t2 @t12)) % 16.11/16.36 (step @p219 :rule cong :premises (@p218) :args (@t111)) % 16.11/16.36 (step @p220 :rule nary_cong :premises (@p219 @p217 @p216 @p215 @p214 @p213 @p212) :args (@t218)) % 16.11/16.36 (step @p221 :rule aci_norm :args ((= @t219 @t218))) % 16.11/16.36 (step @p222 :rule trans :premises (@p221 @p220)) % 16.11/16.36 (step @p223 :rule cong :premises (@p222) :args (@t220)) % 16.11/16.36 (step @p224 :rule trans :premises (@p223 @p211)) % 16.11/16.36 (step @p225 :rule cong :premises (@p224) :args (@t221)) % 16.11/16.36 (step @p226 :rule quant-merge-prenex :args ((= @t221 @t222))) % 16.11/16.36 (step @p227 :rule symm :premises (@p226)) % 16.11/16.36 (step @p228 :rule quant_var_reordering :args ((= (forall @t223 @t219) @t222))) % 16.11/16.36 (step @p229 :rule trans :premises (@p228 @p227 @p225)) % 16.11/16.36 (step @p230 :rule trans :premises (@p229 @p210)) % 16.11/16.36 (step @p231 :rule aci_norm :args ((= @t225 @t219))) % 16.11/16.36 (step @p232 :rule cong :premises (@p231) :args (@t226)) % 16.11/16.36 (step @p233 :rule trans :premises (@p232 @p230)) % 16.11/16.36 (step @p234 :rule quant-merge-prenex :args ((= (forall @t16 @t227) @t226))) % 16.11/16.36 (step @p235 :rule alpha_equiv :args (@t228 @t195 @t231)) % 16.11/16.36 (step @p236 :rule nary_cong :premises (@p217 @p216 @p235) :args (@t232)) % 16.11/16.36 (step @p237 :rule quant-miniscope-or :args ((= @t227 @t232))) % 16.11/16.36 (step @p238 :rule trans :premises (@p237 @p236)) % 16.11/16.36 (step @p239 :rule symm :premises (@p238)) % 16.11/16.36 (step @p240 :rule cong :premises (@p239) :args (@t242)) % 16.11/16.36 (step @p241 :rule trans :premises (@p240 @p234)) % 16.11/16.36 (step @p242 :rule trans :premises (@p241 @p233)) % 16.11/16.36 (step @p243 :rule refl :args (@t181)) % 16.11/16.36 (step @p244 :rule refl :args (@t177)) % 16.11/16.36 (step @p245 :rule refl :args (@t180)) % 16.11/16.36 (step @p246 :rule nary_cong :premises (@p245 @p244 @p243 @p242) :args (@t243)) % 16.11/16.36 (step @p247 :rule trans :premises (@p246 @p194)) % 16.11/16.36 (step @p248 :rule quant-miniscope-or :args ((= (forall @t16 @t244) @t243))) % 16.11/16.36 (step @p249 :rule aci_norm :args ((= @t245 @t244))) % 16.11/16.36 (step @p250 :rule cong :premises (@p249) :args ((forall @t16 @t245))) % 16.11/16.36 (step @p251 :rule trans :premises (@p250 @p248)) % 16.11/16.36 (step @p252 :rule trans :premises (@p251 @p247)) % 16.11/16.36 (step @p253 :rule aci_norm :args ((= (or @t217 @t246) @t245))) % 16.11/16.36 (step @p254 :rule bool-impl-elim :args (@t15 @t246)) % 16.11/16.36 (step @p255 :rule trans :premises (@p254 @p253)) % 16.11/16.36 (step @p256 :rule cong :premises (@p255) :args ((forall @t16 (=> @t15 @t246)))) % 16.11/16.36 (step @p257 :rule trans :premises (@p256 @p252)) % 16.11/16.36 (step @p258 :rule aci_norm :args ((= (or @t111 @t180 @t177 @t247) @t246))) % 16.11/16.36 (step @p259 :rule quant-miniscope-or :args ((= (forall @t239 @t248) @t247))) % 16.11/16.36 (step @p260 :rule aci_norm :args ((= @t249 @t248))) % 16.11/16.36 (step @p261 :rule cong :premises (@p260) :args ((forall @t239 @t249))) % 16.11/16.36 (step @p262 :rule trans :premises (@p261 @p259)) % 16.11/16.36 (step @p263 :rule aci_norm :args ((= (or @t181 false @t237 @t236 @t235 @t233) @t249))) % 16.11/16.36 (step @p264 :rule refl :args (@t233)) % 16.11/16.36 (step @p265 :rule refl :args (@t235)) % 16.11/16.36 (step @p266 :rule refl :args (@t236)) % 16.11/16.36 (step @p267 :rule refl :args (@t237)) % 16.11/16.36 (step @p268 :rule eq-refl :args (@t1)) % 16.11/16.36 (step @p269 :rule cong :premises (@p268) :args (@t250)) % 16.11/16.36 (step @p270 :rule trans :premises (@p269 @p99)) % 16.11/16.36 (step @p271 :rule nary_cong :premises (@p243 @p270 @p267 @p266 @p265 @p264) :args (@t251)) % 16.11/16.36 (step @p272 :rule trans :premises (@p271 @p263)) % 16.11/16.36 (step @p273 :rule cong :premises (@p272) :args ((forall @t239 @t251))) % 16.11/16.36 (step @p274 :rule trans :premises (@p273 @p262)) % 16.11/16.36 (step @p275 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t113 @t112 @t237 @t236 @t252 @t233)) @t251))) % 16.11/16.36 (step @p276 :rule refl :args (@t233)) % 16.11/16.36 (step @p277 :rule refl :args (@t252)) % 16.11/16.36 (step @p278 :rule refl :args (@t236)) % 16.11/16.36 (step @p279 :rule refl :args (@t237)) % 16.11/16.36 (step @p280 :rule refl :args (@t112)) % 16.11/16.36 (step @p281 :rule refl :args (@t113)) % 16.11/16.36 (step @p282 :rule eq-symm :args (@t1 @t10)) % 16.11/16.36 (step @p283 :rule cong :premises (@p282) :args (@t112)) % 16.11/16.36 (step @p284 :rule nary_cong :premises (@p283 @p281 @p280 @p279 @p278 @p277 @p276) :args (@t253)) % 16.11/16.36 (step @p285 :rule aci_norm :args ((= @t254 @t253))) % 16.11/16.36 (step @p286 :rule trans :premises (@p285 @p284)) % 16.11/16.36 (step @p287 :rule cong :premises (@p286) :args (@t255)) % 16.11/16.36 (step @p288 :rule trans :premises (@p287 @p275)) % 16.11/16.36 (step @p289 :rule cong :premises (@p288) :args (@t256)) % 16.11/16.36 (step @p290 :rule quant-merge-prenex :args ((= @t256 @t257))) % 16.11/16.36 (step @p291 :rule symm :premises (@p290)) % 16.11/16.36 (step @p292 :rule quant_var_reordering :args ((= (forall @t258 @t254) @t257))) % 16.11/16.36 (step @p293 :rule trans :premises (@p292 @p291 @p289)) % 16.11/16.36 (step @p294 :rule trans :premises (@p293 @p274)) % 16.11/16.36 (step @p295 :rule aci_norm :args ((= @t260 @t254))) % 16.11/16.36 (step @p296 :rule cong :premises (@p295) :args (@t261)) % 16.11/16.36 (step @p297 :rule trans :premises (@p296 @p294)) % 16.11/16.36 (step @p298 :rule quant-merge-prenex :args ((= (forall @t14 @t262) @t261))) % 16.11/16.36 (step @p299 :rule alpha_equiv :args (@t263 @t231 (@list @t27 @t264))) % 16.11/16.36 (step @p300 :rule nary_cong :premises (@p281 @p280 @p299) :args (@t265)) % 16.11/16.36 (step @p301 :rule quant-miniscope-or :args ((= @t262 @t265))) % 16.11/16.36 (step @p302 :rule trans :premises (@p301 @p300)) % 16.11/16.36 (step @p303 :rule symm :premises (@p302)) % 16.11/16.36 (step @p304 :rule cong :premises (@p303) :args (@t274)) % 16.11/16.36 (step @p305 :rule trans :premises (@p304 @p298)) % 16.11/16.36 (step @p306 :rule trans :premises (@p305 @p297)) % 16.11/16.36 (step @p307 :rule refl :args (@t111)) % 16.11/16.36 (step @p308 :rule nary_cong :premises (@p307 @p245 @p244 @p306) :args (@t275)) % 16.11/16.36 (step @p309 :rule trans :premises (@p308 @p258)) % 16.11/16.36 (step @p310 :rule quant-miniscope-or :args ((= (forall @t14 @t276) @t275))) % 16.11/16.36 (step @p311 :rule aci_norm :args ((= @t277 @t276))) % 16.11/16.36 (step @p312 :rule cong :premises (@p311) :args ((forall @t14 @t277))) % 16.11/16.36 (step @p313 :rule trans :premises (@p312 @p310)) % 16.11/16.36 (step @p314 :rule trans :premises (@p313 @p309)) % 16.11/16.36 (step @p315 :rule eq-symm :args (tptp.nil @t2)) % 16.11/16.36 (step @p316 :rule eq-symm :args (tptp.nil @t1)) % 16.11/16.36 (step @p317 :rule nary_cong :premises (@p316 @p315) :args (@t85)) % 16.11/16.36 (step @p318 :rule aci_norm :args ((= @t279 @t270))) % 16.11/16.36 (step @p319 :rule cong :premises (@p318) :args (@t280)) % 16.11/16.36 (step @p320 :rule quant-merge-prenex :args ((= (forall @t31 @t282) @t280))) % 16.11/16.36 (step @p321 :rule alpha_equiv :args (@t283 (@list @t264) (@list @t95))) % 16.11/16.36 (step @p322 :rule refl :args (@t269)) % 16.11/16.36 (step @p323 :rule nary_cong :premises (@p322 @p321) :args (@t284)) % 16.11/16.36 (step @p324 :rule quant-miniscope-or :args ((= @t282 @t284))) % 16.11/16.36 (step @p325 :rule trans :premises (@p324 @p323)) % 16.11/16.36 (step @p326 :rule symm :premises (@p325)) % 16.11/16.36 (step @p327 :rule cong :premises (@p326) :args ((forall @t31 (or @t269 @t285)))) % 16.11/16.36 (step @p328 :rule trans :premises (@p327 @p320)) % 16.11/16.36 (step @p329 :rule trans :premises (@p328 @p319)) % 16.11/16.36 (step @p330 :rule bool-impl-elim :args (@t30 @t285)) % 16.11/16.36 (step @p331 :rule cong :premises (@p330) :args ((forall @t31 (=> @t30 @t285)))) % 16.11/16.36 (step @p332 :rule trans :premises (@p331 @p329)) % 16.11/16.36 (step @p333 :rule eq-symm :args (@t96 @t12)) % 16.11/16.36 (step @p334 :rule cong :premises (@p333) :args (@t97)) % 16.11/16.36 (step @p335 :rule eq-symm :args (@t98 @t10)) % 16.11/16.36 (step @p336 :rule cong :premises (@p335) :args (@t99)) % 16.11/16.36 (step @p337 :rule refl :args (@t100)) % 16.11/16.36 (step @p338 :rule nary_cong :premises (@p337 @p336 @p334) :args (@t101)) % 16.11/16.36 (step @p339 :rule cong :premises (@p338) :args (@t103)) % 16.11/16.36 (step @p340 :rule refl :args (@t30)) % 16.11/16.36 (step @p341 :rule cong :premises (@p340 @p339) :args (@t104)) % 16.11/16.36 (step @p342 :rule cong :premises (@p341) :args (@t105)) % 16.11/16.36 (step @p343 :rule trans :premises (@p342 @p332)) % 16.11/16.36 (step @p344 :rule aci_norm :args ((= (or @t133 (or @t132 (or @t178 @t145))) @t179))) % 16.11/16.36 (step @p345 :rule bool-and-de-morgan :args (@t107 @t106 true)) % 16.11/16.36 (step @p346 :rule refl :args (@t132)) % 16.11/16.36 (step @p347 :rule nary_cong :premises (@p346 @p345) :args ((or @t132 (not (and @t107 @t106))))) % 16.11/16.36 (step @p348 :rule bool-and-de-morgan :args (@t108 @t107 (and @t106))) % 16.11/16.36 (step @p349 :rule trans :premises (@p348 @p347)) % 16.11/16.36 (step @p350 :rule refl :args (@t133)) % 16.11/16.36 (step @p351 :rule nary_cong :premises (@p350 @p349) :args ((or @t133 (not (and @t108 @t107 @t106))))) % 16.11/16.36 (step @p352 :rule bool-and-de-morgan :args (@t32 @t108 (and @t107 @t106))) % 16.11/16.36 (step @p353 :rule trans :premises (@p352 @p351)) % 16.11/16.36 (step @p354 :rule trans :premises (@p353 @p344)) % 16.11/16.36 (step @p355 :rule cong :premises (@p354) :args (@t286)) % 16.11/16.36 (step @p356 :rule cong :premises (@p355) :args (@t287)) % 16.11/16.36 (step @p357 :rule exists-elim :args ((= @t110 @t287))) % 16.11/16.36 (step @p358 :rule trans :premises (@p357 @p356)) % 16.11/16.36 (step @p359 :rule refl :args (@t112)) % 16.11/16.36 (step @p360 :rule refl :args (@t113)) % 16.11/16.36 (step @p361 :rule nary_cong :premises (@p360 @p359 @p307 @p358 @p343 @p317) :args (@t114)) % 16.11/16.36 (step @p362 :rule cong :premises (@p361) :args (@t115)) % 16.11/16.36 (step @p363 :rule trans :premises (@p362 @p314)) % 16.11/16.36 (step @p364 :rule refl :args (@t15)) % 16.11/16.36 (step @p365 :rule cong :premises (@p364 @p363) :args (@t116)) % 16.11/16.36 (step @p366 :rule cong :premises (@p365) :args (@t117)) % 16.11/16.36 (step @p367 :rule trans :premises (@p366 @p257)) % 16.11/16.36 (step @p368 :rule refl :args (@t21)) % 16.11/16.36 (step @p369 :rule cong :premises (@p368 @p367) :args (@t118)) % 16.11/16.36 (step @p370 :rule cong :premises (@p369) :args (@t119)) % 16.11/16.36 (step @p371 :rule trans :premises (@p370 @p193)) % 16.11/16.36 (step @p372 :rule refl :args (@t17)) % 16.11/16.36 (step @p373 :rule cong :premises (@p372 @p371) :args (@t120)) % 16.11/16.36 (step @p374 :rule cong :premises (@p373) :args (@t121)) % 16.11/16.36 (step @p375 :rule trans :premises (@p374 @p141)) % 16.11/16.36 (step @p376 :rule cong :premises (@p375) :args (@t122)) % 16.11/16.36 (step @p377 :rule eq_resolve :premises (@p96 @p376)) % 16.11/16.36 (step @p378 :rule skolemize :premises (@p377)) % 16.11/16.36 (step @p379 :rule cnf_or_neg :args (@t302 3)) % 16.11/16.36 (step @p380 :rule chain_m_resolution :premises (@p379 @p378) :args ((not @t299) @t303 @t304)) % 16.11/16.36 (step @p381 :rule eq-symm :args (@t305 tptp.nil)) % 16.11/16.36 (step @p382 :rule nary_cong :premises (@p381 @p149) :args (@t306)) % 16.11/16.36 (step @p383 :rule refl :args (@t307)) % 16.11/16.36 (step @p384 :rule cong :premises (@p383 @p382) :args (@t308)) % 16.11/16.36 (step @p385 :rule refl :args (@t309)) % 16.11/16.36 (step @p386 :rule nary_cong :premises (@p182 @p385 @p384) :args (@t310)) % 16.11/16.36 (step @p387 :rule aci_norm :args ((= @t312 @t310))) % 16.11/16.36 (step @p388 :rule trans :premises (@p387 @p386)) % 16.11/16.36 (step @p389 :rule cong :premises (@p388) :args (@t314)) % 16.11/16.36 (step @p390 :rule quant-merge-prenex :args ((= (forall @t9 @t316) @t314))) % 16.11/16.36 (step @p391 :rule alpha_equiv :args (@t317 (@list @t305) @t318)) % 16.11/16.36 (step @p392 :rule nary_cong :premises (@p129 @p391) :args (@t319)) % 16.11/16.36 (step @p393 :rule quant-miniscope-or :args ((= @t316 @t319))) % 16.11/16.36 (step @p394 :rule trans :premises (@p393 @p392)) % 16.11/16.36 (step @p395 :rule symm :premises (@p394)) % 16.11/16.36 (step @p396 :rule cong :premises (@p395) :args ((forall @t9 (or @t147 @t321)))) % 16.11/16.36 (step @p397 :rule trans :premises (@p396 @p390)) % 16.11/16.36 (step @p398 :rule trans :premises (@p397 @p389)) % 16.11/16.36 (step @p399 :rule bool-impl-elim :args (@t17 @t321)) % 16.11/16.36 (step @p400 :rule cong :premises (@p399) :args ((forall @t9 (=> @t17 @t321)))) % 16.11/16.36 (step @p401 :rule trans :premises (@p400 @p398)) % 16.11/16.36 (step @p402 :rule bool-impl-elim :args (@t21 @t320)) % 16.11/16.36 (step @p403 :rule cong :premises (@p402) :args ((forall @t7 (=> @t21 @t320)))) % 16.11/16.36 (step @p404 :rule refl :args (@t86)) % 16.11/16.36 (step @p405 :rule cong :premises (@p404 @p317) :args (@t87)) % 16.11/16.36 (step @p406 :rule cong :premises (@p368 @p405) :args (@t88)) % 16.11/16.36 (step @p407 :rule cong :premises (@p406) :args (@t89)) % 16.11/16.36 (step @p408 :rule trans :premises (@p407 @p403)) % 16.11/16.36 (step @p409 :rule cong :premises (@p372 @p408) :args (@t90)) % 16.11/16.36 (step @p410 :rule cong :premises (@p409) :args (@t91)) % 16.11/16.36 (step @p411 :rule trans :premises (@p410 @p401)) % 16.11/16.36 (step @p412 :rule eq_resolve :premises (@p83 @p411)) % 16.11/16.36 (step @p413 :rule eq-symm :args (@t292 tptp.nil)) % 16.11/16.36 (step @p414 :rule refl :args (@t322)) % 16.11/16.36 (step @p415 :rule nary_cong :premises (@p414 @p413) :args (@t324)) % 16.11/16.36 (step @p416 :rule refl :args (@t298)) % 16.11/16.36 (step @p417 :rule cong :premises (@p416 @p415) :args (@t325)) % 16.11/16.36 (step @p418 :rule refl :args (@t291)) % 16.11/16.36 (step @p419 :rule refl :args (@t294)) % 16.11/16.36 (step @p420 :rule nary_cong :premises (@p419 @p418 @p417) :args (@t326)) % 16.11/16.36 (step @p421 :rule refl :args (@t327)) % 16.11/16.36 (step @p422 :rule cong :premises (@p421 @p420) :args ((=> @t327 @t326))) % 16.11/16.36 (assume-push @p796 @t327) % 16.11/16.36 (step @p424 :rule instantiate :premises (@p412) :args ((@list @t292 @t289))) % 16.11/16.36 (step-pop @p797 :rule scope :premises (@p424)) % 16.11/16.36 (step @p425 :rule process_scope :premises (@p797) :args (@t326)) % 16.11/16.36 (step @p427 :rule eq_resolve :premises (@p425 @p422)) % 16.11/16.36 (step @p428 :rule implies_elim :premises (@p427)) % 16.11/16.36 (step @p429 :rule chain_m_resolution :premises (@p428 @p412) :args (@t331 @t332 @t333)) % 16.11/16.36 (step @p430 :rule bool-double-not-elim :args (@t290)) % 16.11/16.36 (step @p431 :rule refl :args (@t302)) % 16.11/16.36 (step @p432 :rule nary_cong :premises (@p431 @p430) :args ((or @t302 (not @t291)))) % 16.11/16.36 (step @p433 :rule cnf_or_neg :args (@t302 5)) % 16.11/16.36 (step @p434 :rule eq_resolve :premises (@p433 @p432)) % 16.11/16.36 (step @p435 :rule reordering :premises (@p434) :args ((or @t290 @t302))) % 16.11/16.36 (step @p436 :rule chain_m_resolution :premises (@p435 @p378) :args (@t290 @t303 @t304)) % 16.11/16.36 (step @p437 :rule bool-double-not-elim :args (@t293)) % 16.11/16.36 (step @p438 :rule nary_cong :premises (@p431 @p437) :args ((or @t302 (not @t294)))) % 16.11/16.36 (step @p439 :rule cnf_or_neg :args (@t302 4)) % 16.11/16.36 (step @p440 :rule eq_resolve :premises (@p439 @p438)) % 16.11/16.36 (step @p441 :rule reordering :premises (@p440) :args ((or @t293 @t302))) % 16.11/16.36 (step @p442 :rule chain_m_resolution :premises (@p441 @p378) :args (@t293 @t303 @t304)) % 16.11/16.36 (step @p443 :rule cnf_or_pos :args (@t331)) % 16.11/16.36 (step @p444 :rule reordering :premises (@p443) :args ((or @t294 @t291 @t330 (not @t331)))) % 16.11/16.36 (step @p445 :rule chain_m_resolution :premises (@p444 @p442 @p436 @p429) :args (@t330 @t334 (@list @t293 @t290 @t331))) % 16.11/16.36 (step @p446 :rule aci_norm :args ((= @t340 @t338))) % 16.11/16.36 (step @p447 :rule cong :premises (@p446) :args (@t342)) % 16.11/16.36 (step @p448 :rule quant-merge-prenex :args ((= (forall @t9 @t344) @t342))) % 16.11/16.36 (step @p449 :rule alpha_equiv :args (@t345 (@list @t335) @t318)) % 16.11/16.36 (step @p450 :rule nary_cong :premises (@p129 @p449) :args (@t346)) % 16.11/16.36 (step @p451 :rule quant-miniscope-or :args ((= @t344 @t346))) % 16.11/16.36 (step @p452 :rule trans :premises (@p451 @p450)) % 16.11/16.36 (step @p453 :rule symm :premises (@p452)) % 16.11/16.36 (step @p454 :rule cong :premises (@p453) :args ((forall @t9 (or @t147 @t347)))) % 16.11/16.36 (step @p455 :rule trans :premises (@p454 @p448)) % 16.11/16.36 (step @p456 :rule trans :premises (@p455 @p447)) % 16.11/16.36 (step @p457 :rule bool-impl-elim :args (@t17 @t347)) % 16.11/16.36 (step @p458 :rule cong :premises (@p457) :args ((forall @t9 (=> @t17 @t347)))) % 16.11/16.36 (step @p459 :rule trans :premises (@p458 @p456)) % 16.11/16.36 (step @p460 :rule bool-impl-elim :args (@t21 @t5)) % 16.11/16.36 (step @p461 :rule cong :premises (@p460) :args (@t37)) % 16.11/16.36 (step @p462 :rule cong :premises (@p372 @p461) :args (@t38)) % 16.11/16.36 (step @p463 :rule cong :premises (@p462) :args (@t39)) % 16.11/16.36 (step @p464 :rule trans :premises (@p463 @p459)) % 16.11/16.36 (step @p465 :rule eq_resolve :premises (@p15 @p464)) % 16.11/16.36 (step @p466 :rule eq-symm :args (@t348 @t349)) % 16.11/16.36 (step @p467 :rule cong :premises (@p413) :args (@t350)) % 16.11/16.36 (step @p468 :rule refl :args (@t348)) % 16.11/16.36 (step @p469 :rule cong :premises (@p468 @p467) :args (@t351)) % 16.11/16.36 (step @p470 :rule trans :premises (@p469 @p466)) % 16.11/16.36 (step @p471 :rule refl :args (@t352)) % 16.11/16.36 (step @p472 :rule nary_cong :premises (@p419 @p471 @p470) :args (@t353)) % 16.11/16.36 (step @p473 :rule refl :args (@t354)) % 16.11/16.36 (step @p474 :rule cong :premises (@p473 @p472) :args ((=> @t354 @t353))) % 16.11/16.36 (assume-push @p798 @t354) % 16.11/16.36 (step @p476 :rule instantiate :premises (@p465) :args ((@list @t292 tptp.nil))) % 16.11/16.36 (step-pop @p799 :rule scope :premises (@p476)) % 16.11/16.36 (step @p477 :rule process_scope :premises (@p799) :args (@t353)) % 16.11/16.36 (step @p479 :rule eq_resolve :premises (@p477 @p474)) % 16.11/16.36 (step @p480 :rule implies_elim :premises (@p479)) % 16.11/16.36 (step @p481 :rule chain_m_resolution :premises (@p480 @p465) :args (@t356 @t332 @t357)) % 16.11/16.36 (step @p482 :rule cnf_or_pos :args (@t356)) % 16.11/16.36 (step @p483 :rule reordering :premises (@p482) :args ((or @t352 @t294 @t355 (not @t356)))) % 16.11/16.36 (step @p484 :rule chain_m_resolution :premises (@p483 @p17 @p442 @p481) :args (@t355 @t334 (@list @t41 @t293 @t356))) % 16.11/16.36 (step @p485 :rule bool-double-not-elim :args (@t300)) % 16.11/16.36 (step @p486 :rule nary_cong :premises (@p431 @p485) :args ((or @t302 (not @t301)))) % 16.11/16.36 (step @p487 :rule cnf_or_neg :args (@t302 2)) % 16.11/16.36 (step @p488 :rule eq_resolve :premises (@p487 @p486)) % 16.11/16.36 (step @p489 :rule reordering :premises (@p488) :args ((or @t300 @t302))) % 16.11/16.36 (step @p490 :rule chain_m_resolution :premises (@p489 @p378) :args (@t300 @t303 @t304)) % 16.11/16.36 (step @p491 :rule instantiate :premises (@p490) :args (@t358)) % 16.11/16.36 (step @p492 :rule aci_norm :args ((= @t368 (or @t147 @t366 @t365 @t364 @t363 @t362)))) % 16.11/16.36 (step @p493 :rule cong :premises (@p492) :args (@t369)) % 16.11/16.36 (step @p494 :rule quant-merge-prenex :args ((= (forall @t9 @t371) @t369))) % 16.11/16.36 (step @p495 :rule alpha_equiv :args (@t372 (@list @t359 @t361 @t360) (@list @t1 @t374 @t373))) % 16.11/16.36 (step @p496 :rule nary_cong :premises (@p129 @p495) :args (@t375)) % 16.11/16.36 (step @p497 :rule quant-miniscope-or :args ((= @t371 @t375))) % 16.11/16.36 (step @p498 :rule trans :premises (@p497 @p496)) % 16.11/16.36 (step @p499 :rule symm :premises (@p498)) % 16.11/16.36 (step @p500 :rule cong :premises (@p499) :args ((forall @t9 (or @t147 @t382)))) % 16.11/16.36 (step @p501 :rule trans :premises (@p500 @p494)) % 16.11/16.36 (step @p502 :rule trans :premises (@p501 @p493)) % 16.11/16.36 (step @p503 :rule bool-impl-elim :args (@t17 @t382)) % 16.11/16.36 (step @p504 :rule cong :premises (@p503) :args ((forall @t9 (=> @t17 @t382)))) % 16.11/16.36 (step @p505 :rule trans :premises (@p504 @p502)) % 16.11/16.36 (step @p506 :rule aci_norm :args ((= @t384 @t380))) % 16.11/16.36 (step @p507 :rule cong :premises (@p506) :args (@t385)) % 16.11/16.36 (step @p508 :rule quant-merge-prenex :args ((= (forall @t7 @t387) @t385))) % 16.11/16.36 (step @p509 :rule alpha_equiv :args (@t388 (@list @t374 @t373) (@list @t12 @t389))) % 16.11/16.36 (step @p510 :rule refl :args (@t379)) % 16.11/16.36 (step @p511 :rule nary_cong :premises (@p174 @p510 @p509) :args (@t390)) % 16.11/16.36 (step @p512 :rule quant-miniscope-or :args ((= @t387 @t390))) % 16.11/16.36 (step @p513 :rule trans :premises (@p512 @p511)) % 16.11/16.36 (step @p514 :rule symm :premises (@p513)) % 16.11/16.36 (step @p515 :rule cong :premises (@p514) :args ((forall @t7 @t396))) % 16.11/16.36 (step @p516 :rule trans :premises (@p515 @p508)) % 16.11/16.36 (step @p517 :rule trans :premises (@p516 @p507)) % 16.11/16.36 (step @p518 :rule aci_norm :args ((= (or @t181 @t397) @t396))) % 16.11/16.36 (step @p519 :rule bool-impl-elim :args (@t21 @t397)) % 16.11/16.36 (step @p520 :rule trans :premises (@p519 @p518)) % 16.11/16.36 (step @p521 :rule cong :premises (@p520) :args ((forall @t7 (=> @t21 @t397)))) % 16.11/16.36 (step @p522 :rule trans :premises (@p521 @p517)) % 16.11/16.36 (step @p523 :rule aci_norm :args ((= @t399 @t393))) % 16.11/16.36 (step @p524 :rule cong :premises (@p523) :args (@t400)) % 16.11/16.36 (step @p525 :rule quant-merge-prenex :args ((= (forall @t16 @t402) @t400))) % 16.11/16.36 (step @p526 :rule alpha_equiv :args (@t403 (@list @t389) (@list @t10))) % 16.11/16.36 (step @p527 :rule nary_cong :premises (@p217 @p526) :args (@t404)) % 16.11/16.36 (step @p528 :rule quant-miniscope-or :args ((= @t402 @t404))) % 16.11/16.36 (step @p529 :rule trans :premises (@p528 @p527)) % 16.11/16.36 (step @p530 :rule symm :premises (@p529)) % 16.11/16.36 (step @p531 :rule cong :premises (@p530) :args (@t408)) % 16.11/16.36 (step @p532 :rule trans :premises (@p531 @p525)) % 16.11/16.36 (step @p533 :rule trans :premises (@p532 @p524)) % 16.11/16.36 (step @p534 :rule refl :args (@t379)) % 16.11/16.36 (step @p535 :rule nary_cong :premises (@p534 @p533) :args (@t409)) % 16.11/16.36 (step @p536 :rule quant-miniscope-or :args ((= (forall @t16 @t410) @t409))) % 16.11/16.36 (step @p537 :rule aci_norm :args ((= @t411 @t410))) % 16.11/16.36 (step @p538 :rule cong :premises (@p537) :args ((forall @t16 @t411))) % 16.11/16.36 (step @p539 :rule trans :premises (@p538 @p536)) % 16.11/16.36 (step @p540 :rule trans :premises (@p539 @p535)) % 16.11/16.36 (step @p541 :rule aci_norm :args ((= (or @t217 @t412) @t411))) % 16.11/16.36 (step @p542 :rule bool-impl-elim :args (@t15 @t412)) % 16.11/16.36 (step @p543 :rule trans :premises (@p542 @p541)) % 16.11/16.36 (step @p544 :rule cong :premises (@p543) :args ((forall @t16 (=> @t15 @t412)))) % 16.11/16.36 (step @p545 :rule trans :premises (@p544 @p540)) % 16.11/16.36 (step @p546 :rule quant-miniscope-or :args ((= (forall @t14 @t413) @t412))) % 16.11/16.36 (step @p547 :rule aci_norm :args ((= @t414 @t413))) % 16.11/16.36 (step @p548 :rule cong :premises (@p547) :args ((forall @t14 @t414))) % 16.11/16.36 (step @p549 :rule trans :premises (@p548 @p546)) % 16.11/16.36 (step @p550 :rule aci_norm :args ((= (or @t113 (or @t379 @t64)) @t414))) % 16.11/16.36 (step @p551 :rule bool-impl-elim :args (@t24 @t64)) % 16.11/16.36 (step @p552 :rule nary_cong :premises (@p281 @p551) :args ((or @t113 @t65))) % 16.11/16.36 (step @p553 :rule trans :premises (@p552 @p550)) % 16.11/16.36 (step @p554 :rule bool-impl-elim :args (@t13 @t65)) % 16.11/16.36 (step @p555 :rule trans :premises (@p554 @p553)) % 16.11/16.36 (step @p556 :rule cong :premises (@p555) :args (@t66)) % 16.11/16.36 (step @p557 :rule trans :premises (@p556 @p549)) % 16.11/16.36 (step @p558 :rule cong :premises (@p364 @p557) :args (@t67)) % 16.11/16.36 (step @p559 :rule cong :premises (@p558) :args (@t68)) % 16.11/16.36 (step @p560 :rule trans :premises (@p559 @p545)) % 16.11/16.36 (step @p561 :rule cong :premises (@p368 @p560) :args (@t69)) % 16.11/16.36 (step @p562 :rule cong :premises (@p561) :args (@t70)) % 16.11/16.36 (step @p563 :rule trans :premises (@p562 @p522)) % 16.11/16.36 (step @p564 :rule cong :premises (@p372 @p563) :args (@t71)) % 16.11/16.36 (step @p565 :rule cong :premises (@p564) :args (@t72)) % 16.11/16.36 (step @p566 :rule trans :premises (@p565 @p505)) % 16.11/16.36 (step @p567 :rule eq_resolve :premises (@p56 @p566)) % 16.11/16.36 (step @p568 :rule instantiate :premises (@p567) :args ((@list @t292 @t292 @t289 tptp.nil))) % 16.11/16.36 (step @p569 :rule bool-impl-elim :args (@t17 @t62)) % 16.11/16.36 (step @p570 :rule cong :premises (@p569) :args (@t63)) % 16.11/16.36 (step @p571 :rule eq_resolve :premises (@p55 @p570)) % 16.11/16.36 (step @p572 :rule instantiate :premises (@p571) :args (@t358)) % 16.11/16.36 (step @p573 :rule cnf_or_pos :args (@t416)) % 16.11/16.36 (step @p574 :rule reordering :premises (@p573) :args ((or @t294 @t415 (not @t416)))) % 16.11/16.36 (step @p575 :rule chain_m_resolution :premises (@p574 @p442 @p572) :args (@t415 @t417 (@list @t293 @t416))) % 16.11/16.36 (step @p576 :rule cnf_or_pos :args (@t421)) % 16.11/16.36 (step @p577 :rule factoring :premises (@p576)) % 16.11/16.36 (step @p578 :rule reordering :premises (@p577) :args ((or @t352 @t294 @t291 @t420 @t419 (not @t421)))) % 16.11/16.36 (step @p579 :rule chain_m_resolution :premises (@p578 @p17 @p442 @p436 @p575 @p568) :args (@t419 @t422 (@list @t41 @t293 @t290 @t415 @t421))) % 16.11/16.36 (step @p580 :rule true_intro :premises (@p579)) % 16.11/16.36 (step @p581 :rule refl :args (@t292)) % 16.11/16.36 (step @p582 :rule aci_norm :args ((= @t429 (or @t147 @t427 @t426 @t425)))) % 16.11/16.36 (step @p583 :rule cong :premises (@p582) :args (@t430)) % 16.11/16.36 (step @p584 :rule quant-merge-prenex :args ((= (forall @t9 @t432) @t430))) % 16.11/16.36 (step @p585 :rule alpha_equiv :args (@t433 (@list @t424 @t423) (@list @t1 @t434))) % 16.11/16.36 (step @p586 :rule nary_cong :premises (@p129 @p585) :args (@t435)) % 16.11/16.36 (step @p587 :rule quant-miniscope-or :args ((= @t432 @t435))) % 16.11/16.36 (step @p588 :rule trans :premises (@p587 @p586)) % 16.11/16.36 (step @p589 :rule symm :premises (@p588)) % 16.11/16.36 (step @p590 :rule cong :premises (@p589) :args ((forall @t9 (or @t147 @t440)))) % 16.11/16.36 (step @p591 :rule trans :premises (@p590 @p584)) % 16.11/16.36 (step @p592 :rule trans :premises (@p591 @p583)) % 16.11/16.36 (step @p593 :rule bool-impl-elim :args (@t17 @t440)) % 16.11/16.36 (step @p594 :rule cong :premises (@p593) :args ((forall @t9 (=> @t17 @t440)))) % 16.11/16.36 (step @p595 :rule trans :premises (@p594 @p592)) % 16.11/16.36 (step @p596 :rule aci_norm :args ((= @t442 @t438))) % 16.11/16.36 (step @p597 :rule cong :premises (@p596) :args (@t443)) % 16.11/16.36 (step @p598 :rule quant-merge-prenex :args ((= (forall @t7 @t445) @t443))) % 16.11/16.36 (step @p599 :rule alpha_equiv :args (@t446 (@list @t434) (@list @t12))) % 16.11/16.36 (step @p600 :rule nary_cong :premises (@p174 @p599) :args (@t447)) % 16.11/16.36 (step @p601 :rule quant-miniscope-or :args ((= @t445 @t447))) % 16.11/16.36 (step @p602 :rule trans :premises (@p601 @p600)) % 16.11/16.36 (step @p603 :rule symm :premises (@p602)) % 16.11/16.36 (step @p604 :rule cong :premises (@p603) :args ((forall @t7 (or @t181 @t448)))) % 16.11/16.36 (step @p605 :rule trans :premises (@p604 @p598)) % 16.11/16.36 (step @p606 :rule trans :premises (@p605 @p597)) % 16.11/16.36 (step @p607 :rule bool-impl-elim :args (@t21 @t448)) % 16.11/16.36 (step @p608 :rule cong :premises (@p607) :args ((forall @t7 (=> @t21 @t448)))) % 16.11/16.36 (step @p609 :rule trans :premises (@p608 @p606)) % 16.11/16.36 (step @p610 :rule bool-impl-elim :args (@t15 @t79)) % 16.11/16.36 (step @p611 :rule cong :premises (@p610) :args (@t80)) % 16.11/16.36 (step @p612 :rule cong :premises (@p368 @p611) :args (@t81)) % 16.11/16.36 (step @p613 :rule cong :premises (@p612) :args (@t82)) % 16.11/16.36 (step @p614 :rule trans :premises (@p613 @p609)) % 16.11/16.36 (step @p615 :rule cong :premises (@p372 @p614) :args (@t83)) % 16.11/16.36 (step @p616 :rule cong :premises (@p615) :args (@t84)) % 16.11/16.36 (step @p617 :rule trans :premises (@p616 @p595)) % 16.11/16.36 (step @p618 :rule eq_resolve :premises (@p82 @p617)) % 16.11/16.36 (step @p619 :rule instantiate :premises (@p618) :args ((@list @t289 @t292 tptp.nil))) % 16.11/16.36 (step @p620 :rule cnf_or_pos :args (@t452)) % 16.11/16.36 (step @p621 :rule reordering :premises (@p620) :args ((or @t352 @t294 @t291 @t451 (not @t452)))) % 16.11/16.36 (step @p622 :rule chain_m_resolution :premises (@p621 @p17 @p442 @p436 @p619) :args (@t451 @t453 (@list @t41 @t293 @t290 @t452))) % 16.11/16.36 (step @p623 :rule symm :premises (@p622)) % 16.11/16.36 (step @p624 :rule bool-impl-elim :args (@t17 @t454)) % 16.11/16.36 (step @p625 :rule cong :premises (@p624) :args ((forall @t9 (=> @t17 @t454)))) % 16.11/16.36 (step @p626 :rule eq-symm :args (@t92 @t2)) % 16.11/16.36 (step @p627 :rule cong :premises (@p372 @p626) :args (@t93)) % 16.11/16.36 (step @p628 :rule cong :premises (@p627) :args (@t94)) % 16.11/16.36 (step @p629 :rule trans :premises (@p628 @p625)) % 16.11/16.36 (step @p630 :rule eq_resolve :premises (@p84 @p629)) % 16.11/16.36 (step @p631 :rule instantiate :premises (@p630) :args (@t358)) % 16.11/16.36 (step @p632 :rule cnf_or_pos :args (@t456)) % 16.11/16.36 (step @p633 :rule reordering :premises (@p632) :args ((or @t294 @t455 (not @t456)))) % 16.11/16.36 (step @p634 :rule chain_m_resolution :premises (@p633 @p442 @p631) :args (@t455 @t417 (@list @t293 @t456))) % 16.11/16.36 (step @p635 :rule refl :args (@t289)) % 16.11/16.36 (step @p636 :rule cong :premises (@p635 @p634) :args (@t295)) % 16.11/16.36 (step @p637 :rule trans :premises (@p636 @p623)) % 16.11/16.36 (step @p638 :rule cong :premises (@p637 @p581) :args (@t457)) % 16.11/16.36 (step @p639 :rule trans :premises (@p638 @p580)) % 16.11/16.36 (step @p640 :rule true_elim :premises (@p639)) % 16.11/16.36 (step @p641 :rule instantiate :premises (@p567) :args ((@list @t292 @t292 tptp.nil @t289))) % 16.11/16.36 (step @p642 :rule cnf_or_pos :args (@t461)) % 16.11/16.36 (step @p643 :rule factoring :premises (@p642)) % 16.11/16.36 (step @p644 :rule reordering :premises (@p643) :args ((or @t352 @t294 @t291 @t420 @t460 (not @t461)))) % 16.11/16.36 (step @p645 :rule chain_m_resolution :premises (@p644 @p17 @p442 @p436 @p575 @p641) :args (@t460 @t422 (@list @t41 @t293 @t290 @t415 @t461))) % 16.11/16.36 (step @p646 :rule true_intro :premises (@p645)) % 16.11/16.36 (step @p647 :rule bool-impl-elim :args (@t17 @t462)) % 16.11/16.36 (step @p648 :rule cong :premises (@p647) :args ((forall @t9 (=> @t17 @t462)))) % 16.11/16.36 (step @p649 :rule eq-symm :args (@t50 @t2)) % 16.11/16.36 (step @p650 :rule cong :premises (@p372 @p649) :args (@t51)) % 16.11/16.36 (step @p651 :rule cong :premises (@p650) :args (@t52)) % 16.11/16.36 (step @p652 :rule trans :premises (@p651 @p648)) % 16.11/16.36 (step @p653 :rule eq_resolve :premises (@p28 @p652)) % 16.11/16.36 (step @p654 :rule instantiate :premises (@p653) :args (@t358)) % 16.11/16.36 (step @p655 :rule cnf_or_pos :args (@t464)) % 16.11/16.36 (step @p656 :rule reordering :premises (@p655) :args ((or @t294 @t463 (not @t464)))) % 16.11/16.36 (step @p657 :rule chain_m_resolution :premises (@p656 @p442 @p654) :args (@t463 @t417 (@list @t293 @t464))) % 16.11/16.36 (step @p658 :rule cong :premises (@p657 @p635) :args (@t297)) % 16.11/16.36 (step @p659 :rule cong :premises (@p658 @p581) :args (@t465)) % 16.11/16.36 (step @p660 :rule trans :premises (@p659 @p646)) % 16.11/16.36 (step @p661 :rule true_elim :premises (@p660)) % 16.11/16.36 (step @p662 :rule cnf_or_pos :args (@t469)) % 16.11/16.36 (step @p663 :rule reordering :premises (@p662) :args ((or @t294 @t468 @t467 @t466 (not @t469)))) % 16.11/16.36 (step @p664 :rule chain_m_resolution :premises (@p663 @p442 @p661 @p640 @p491) :args (@t468 @t453 (@list @t293 @t465 @t457 @t469))) % 16.11/16.36 (step @p665 :rule bool-double-not-elim :args (@t328)) % 16.11/16.36 (step @p666 :rule refl :args (@t470)) % 16.11/16.36 (step @p667 :rule nary_cong :premises (@p666 @p665 @p468) :args ((or @t470 (not @t349) @t348))) % 16.11/16.36 (step @p668 :rule cnf_equiv_pos1 :args (@t355)) % 16.11/16.36 (step @p669 :rule eq_resolve :premises (@p668 @p667)) % 16.11/16.36 (step @p670 :rule reordering :premises (@p669) :args ((or @t328 @t348 @t470))) % 16.11/16.36 (step @p671 :rule chain_m_resolution :premises (@p670 @p664 @p484) :args (@t328 @t471 (@list @t348 @t355))) % 16.11/16.36 (step @p672 :rule eq-symm :args (@t472 @t473)) % 16.11/16.36 (step @p673 :rule eq-symm :args (@t289 tptp.nil)) % 16.11/16.36 (step @p674 :rule cong :premises (@p673) :args (@t475)) % 16.11/16.36 (step @p675 :rule refl :args (@t472)) % 16.11/16.36 (step @p676 :rule cong :premises (@p675 @p674) :args (@t476)) % 16.11/16.36 (step @p677 :rule trans :premises (@p676 @p672)) % 16.11/16.36 (step @p678 :rule nary_cong :premises (@p418 @p471 @p677) :args (@t477)) % 16.11/16.36 (step @p679 :rule cong :premises (@p473 @p678) :args ((=> @t354 @t477))) % 16.11/16.36 (assume-push @p800 @t354) % 16.11/16.36 (step @p681 :rule instantiate :premises (@p465) :args ((@list @t289 tptp.nil))) % 16.11/16.36 (step-pop @p801 :rule scope :premises (@p681)) % 16.11/16.36 (step @p682 :rule process_scope :premises (@p801) :args (@t477)) % 16.11/16.36 (step @p684 :rule eq_resolve :premises (@p682 @p679)) % 16.11/16.36 (step @p685 :rule implies_elim :premises (@p684)) % 16.11/16.36 (step @p686 :rule chain_m_resolution :premises (@p685 @p465) :args (@t479 @t332 @t357)) % 16.11/16.36 (step @p687 :rule cnf_or_pos :args (@t479)) % 16.11/16.36 (step @p688 :rule reordering :premises (@p687) :args ((or @t352 @t291 @t478 (not @t479)))) % 16.11/16.36 (step @p689 :rule chain_m_resolution :premises (@p688 @p17 @p436 @p686) :args (@t478 @t334 (@list @t41 @t290 @t479))) % 16.11/16.36 (step @p690 :rule instantiate :premises (@p490) :args (@t480)) % 16.11/16.36 (step @p691 :rule instantiate :premises (@p571) :args (@t480)) % 16.11/16.36 (step @p692 :rule cnf_or_pos :args (@t482)) % 16.11/16.36 (step @p693 :rule reordering :premises (@p692) :args ((or @t291 @t481 (not @t482)))) % 16.11/16.36 (step @p694 :rule chain_m_resolution :premises (@p693 @p436 @p691) :args (@t481 @t417 (@list @t290 @t482))) % 16.11/16.36 (step @p695 :rule true_intro :premises (@p694)) % 16.11/16.36 (step @p696 :rule instantiate :premises (@p653) :args (@t480)) % 16.11/16.36 (step @p697 :rule cnf_or_pos :args (@t485)) % 16.11/16.36 (step @p698 :rule reordering :premises (@p697) :args ((or @t291 @t484 (not @t485)))) % 16.11/16.36 (step @p699 :rule chain_m_resolution :premises (@p698 @p436 @p696) :args (@t484 @t417 (@list @t290 @t485))) % 16.11/16.36 (step @p700 :rule symm :premises (@p699)) % 16.11/16.36 (step @p701 :rule bool-eq-true :args (@t487)) % 16.11/16.36 (step @p702 :rule eq-refl :args (tptp.nil)) % 16.11/16.36 (step @p703 :rule aci_norm :args ((= @t489 @t488))) % 16.11/16.36 (step @p704 :rule trans :premises (@p703 @p702)) % 16.11/16.36 (step @p705 :rule refl :args (@t487)) % 16.11/16.36 (step @p706 :rule cong :premises (@p705 @p704) :args (@t490)) % 16.11/16.36 (step @p707 :rule trans :premises (@p706 @p701)) % 16.11/16.36 (step @p708 :rule nary_cong :premises (@p471 @p471 @p707) :args (@t491)) % 16.11/16.36 (step @p709 :rule cong :premises (@p421 @p708) :args ((=> @t327 @t491))) % 16.11/16.36 (assume-push @p802 @t327) % 16.11/16.36 (step @p711 :rule instantiate :premises (@p412) :args ((@list tptp.nil tptp.nil))) % 16.11/16.36 (step-pop @p803 :rule scope :premises (@p711)) % 16.11/16.36 (step @p712 :rule process_scope :premises (@p803) :args (@t491)) % 16.11/16.36 (step @p714 :rule eq_resolve :premises (@p712 @p709)) % 16.11/16.36 (step @p715 :rule implies_elim :premises (@p714)) % 16.11/16.36 (step @p716 :rule chain_m_resolution :premises (@p715 @p412) :args (@t492 @t332 @t333)) % 16.11/16.36 (step @p717 :rule cnf_or_pos :args (@t492)) % 16.11/16.36 (step @p718 :rule factoring :premises (@p717)) % 16.11/16.36 (step @p719 :rule reordering :premises (@p718) :args ((or @t352 @t487 (not @t492)))) % 16.11/16.36 (step @p720 :rule chain_m_resolution :premises (@p719 @p17 @p716) :args (@t487 @t417 (@list @t41 @t492))) % 16.11/16.36 (step @p721 :rule symm :premises (@p720)) % 16.11/16.36 (step @p722 :rule cong :premises (@p721 @p635) :args (@t493)) % 16.11/16.36 (step @p723 :rule trans :premises (@p722 @p700)) % 16.11/16.36 (step @p724 :rule symm :premises (@p722)) % 16.11/16.36 (step @p725 :rule instantiate :premises (@p630) :args (@t480)) % 16.11/16.36 (step @p726 :rule cnf_or_pos :args (@t495)) % 16.11/16.36 (step @p727 :rule reordering :premises (@p726) :args ((or @t291 @t494 (not @t495)))) % 16.11/16.36 (step @p728 :rule chain_m_resolution :premises (@p727 @p436 @p725) :args (@t494 @t417 (@list @t290 @t495))) % 16.11/16.36 (step @p729 :rule symm :premises (@p728)) % 16.11/16.36 (step @p730 :rule symm :premises (@p671)) % 16.11/16.36 (step @p731 :rule symm :premises (@p634)) % 16.11/16.36 (step @p732 :rule trans :premises (@p731 @p730)) % 16.11/16.36 (step @p733 :rule cong :premises (@p635 @p732) :args (@t450)) % 16.11/16.36 (step @p734 :rule trans :premises (@p622 @p733 @p729 @p699 @p724)) % 16.11/16.36 (step @p735 :rule trans :premises (@p637 @p734 @p723)) % 16.11/16.36 (step @p736 :rule cong :premises (@p735 @p635) :args (@t496)) % 16.11/16.36 (step @p737 :rule trans :premises (@p736 @p695)) % 16.11/16.36 (step @p738 :rule true_elim :premises (@p737)) % 16.11/16.36 (step @p739 :rule symm :premises (@p637)) % 16.11/16.36 (step @p740 :rule symm :premises (@p734)) % 16.11/16.36 (step @p741 :rule instantiate :premises (@p618) :args ((@list tptp.nil tptp.nil @t289))) % 16.11/16.36 (step @p742 :rule cnf_or_pos :args (@t498)) % 16.11/16.36 (step @p743 :rule factoring :premises (@p742)) % 16.11/16.36 (step @p744 :rule reordering :premises (@p743) :args ((or @t352 @t291 @t497 (not @t498)))) % 16.11/16.36 (step @p745 :rule chain_m_resolution :premises (@p744 @p17 @p436 @p741) :args (@t497 @t334 (@list @t41 @t290 @t498))) % 16.11/16.36 (step @p746 :rule symm :premises (@p745)) % 16.11/16.36 (step @p747 :rule trans :premises (@p636 @p733 @p729 @p699)) % 16.11/16.36 (step @p748 :rule cong :premises (@p730 @p747) :args ((tptp.app @t292 @t295))) % 16.11/16.36 (step @p749 :rule symm :premises (@p735)) % 16.11/16.36 (step @p750 :rule symm :premises (@p657)) % 16.11/16.36 (step @p751 :rule cong :premises (@p750 @p749) :args (@t459)) % 16.11/16.36 (step @p752 :rule trans :premises (@p751 @p748 @p746)) % 16.11/16.36 (step @p753 :rule trans :premises (@p658 @p752 @p740 @p739)) % 16.11/16.36 (step @p754 :rule cong :premises (@p753 @p635) :args (@t499)) % 16.11/16.36 (step @p755 :rule trans :premises (@p754 @p736 @p695)) % 16.11/16.36 (step @p756 :rule true_elim :premises (@p755)) % 16.11/16.36 (step @p757 :rule cnf_or_pos :args (@t503)) % 16.11/16.36 (step @p758 :rule reordering :premises (@p757) :args ((or @t291 @t502 @t501 @t500 (not @t503)))) % 16.11/16.36 (step @p759 :rule chain_m_resolution :premises (@p758 @p436 @p756 @p738 @p690) :args (@t502 @t453 (@list @t290 @t499 @t496 @t503))) % 16.11/16.36 (step @p760 :rule bool-double-not-elim :args (@t322)) % 16.11/16.36 (step @p761 :rule refl :args (@t504)) % 16.11/16.36 (step @p762 :rule nary_cong :premises (@p761 @p760 @p675) :args ((or @t504 (not @t473) @t472))) % 16.11/16.36 (step @p763 :rule cnf_equiv_pos1 :args (@t478)) % 16.11/16.36 (step @p764 :rule eq_resolve :premises (@p763 @p762)) % 16.11/16.36 (step @p765 :rule reordering :premises (@p764) :args ((or @t322 @t472 @t504))) % 16.11/16.36 (step @p766 :rule chain_m_resolution :premises (@p765 @p759 @p689) :args (@t322 @t471 (@list @t472 @t478))) % 16.11/16.36 (step @p767 :rule cnf_and_neg :args (@t329)) % 16.11/16.36 (step @p768 :rule chain_m_resolution :premises (@p767 @p766 @p671) :args (@t329 @t417 @t505)) % 16.11/16.36 (step @p769 :rule cnf_equiv_pos2 :args (@t330)) % 16.11/16.36 (step @p770 :rule reordering :premises (@p769) :args ((or @t298 (not @t329) (not @t330)))) % 16.11/16.36 (step @p771 :rule chain_m_resolution :premises (@p770 @p768 @p445) :args (@t298 @t417 (@list @t329 @t330))) % 16.11/16.36 (step @p772 :rule refl :args (@t328)) % 16.11/16.36 (step @p773 :rule nary_cong :premises (@p772 @p673) :args (@t506)) % 16.11/16.36 (step @p774 :rule refl :args (@t296)) % 16.11/16.36 (step @p775 :rule cong :premises (@p774 @p773) :args (@t507)) % 16.11/16.36 (step @p776 :rule nary_cong :premises (@p418 @p419 @p775) :args (@t508)) % 16.11/16.36 (step @p777 :rule cong :premises (@p421 @p776) :args ((=> @t327 @t508))) % 16.11/16.36 (assume-push @p804 @t327) % 16.11/16.36 (step @p779 :rule instantiate :premises (@p412) :args ((@list @t289 @t292))) % 16.11/16.36 (step-pop @p805 :rule scope :premises (@p779)) % 16.11/16.36 (step @p780 :rule process_scope :premises (@p805) :args (@t508)) % 16.11/16.36 (step @p782 :rule eq_resolve :premises (@p780 @p777)) % 16.11/16.36 (step @p783 :rule implies_elim :premises (@p782)) % 16.11/16.36 (step @p784 :rule chain_m_resolution :premises (@p783 @p412) :args (@t511 @t332 @t333)) % 16.11/16.36 (step @p785 :rule cnf_or_pos :args (@t511)) % 16.11/16.36 (step @p786 :rule reordering :premises (@p785) :args ((or @t294 @t291 @t510 (not @t511)))) % 16.11/16.36 (step @p787 :rule chain_m_resolution :premises (@p786 @p442 @p436 @p784) :args (@t510 @t334 (@list @t293 @t290 @t511))) % 16.11/16.36 (step @p788 :rule cnf_and_neg :args (@t509)) % 16.11/16.36 (step @p789 :rule reordering :premises (@p788) :args ((or @t509 @t473 @t349))) % 16.11/16.36 (step @p790 :rule chain_m_resolution :premises (@p789 @p766 @p671) :args (@t509 @t417 @t505)) % 16.11/16.36 (step @p791 :rule cnf_equiv_pos2 :args (@t510)) % 16.11/16.36 (step @p792 :rule reordering :premises (@p791) :args ((or @t296 (not @t509) (not @t510)))) % 16.11/16.36 (step @p793 :rule chain_m_resolution :premises (@p792 @p790 @p787) :args (@t296 @t417 (@list @t509 @t510))) % 16.11/16.36 (step @p794 :rule cnf_and_neg :args (@t299)) % 16.11/16.36 (step @p795 false :rule chain_m_resolution :premises (@p794 @p793 @p771 @p380) :args (false (@list false false true) (@list @t296 @t298 @t299))) % 16.11/16.36 ) % 16.11/16.36 % SZS output end Proof % 16.11/16.36 % cvc5 exiting %------------------------------------------------------------------------------