%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC107+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:04 AM UTC 2026 % Result : Theorem 113.31s 113.52s % Output : Proof 113.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWC107+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n020.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:15:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 113.31/113.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 113.31/113.52 --- Run --no-e-matching --full-saturate-quant at 6... % 113.31/113.52 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 113.31/113.52 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 113.31/113.52 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 113.31/113.52 --- Run --trigger-sel=max --full-saturate-quant at 15... % 113.31/113.52 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 113.31/113.52 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 113.31/113.52 % SZS status Theorem % 113.31/113.52 % SZS output start Proof % 113.31/113.52 ( % 113.31/113.52 (declare-sort $$unsorted 0) % 113.31/113.52 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 113.31/113.52 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 113.31/113.52 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 113.31/113.52 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 113.31/113.52 (declare-const tptp.nil $$unsorted) % 113.31/113.52 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.ssList (-> $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 113.31/113.52 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 113.31/113.52 (define @t1 () (@var "V" $$unsorted)) % 113.31/113.52 (define @t2 () (@var "U" $$unsorted)) % 113.31/113.52 (define @t3 () (= @t2 @t1)) % 113.31/113.52 (define @t4 () (not @t3)) % 113.31/113.52 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 113.31/113.52 (define @t6 () (tptp.ssItem @t1)) % 113.31/113.52 (define @t7 () (@list @t1)) % 113.31/113.52 (define @t8 () (tptp.ssItem @t2)) % 113.31/113.52 (define @t9 () (@list @t2)) % 113.31/113.52 (define @t10 () (@var "X" $$unsorted)) % 113.31/113.52 (define @t11 () (tptp.cons @t1 @t10)) % 113.31/113.52 (define @t12 () (@var "W" $$unsorted)) % 113.31/113.52 (define @t13 () (tptp.app @t12 @t11)) % 113.31/113.52 (define @t14 () (tptp.ssList @t10)) % 113.31/113.52 (define @t15 () (and @t14 (= @t13 @t2))) % 113.31/113.52 (define @t16 () (@list @t10)) % 113.31/113.52 (define @t17 () (exists @t16 @t15)) % 113.31/113.52 (define @t18 () (tptp.ssList @t12)) % 113.31/113.52 (define @t19 () (and @t18 @t17)) % 113.31/113.52 (define @t20 () (@list @t12)) % 113.31/113.52 (define @t21 () (exists @t20 @t19)) % 113.31/113.52 (define @t22 () (tptp.memberP @t2 @t1)) % 113.31/113.52 (define @t23 () (= @t22 @t21)) % 113.31/113.52 (define @t24 () (=> @t6 @t23)) % 113.31/113.52 (define @t25 () (forall @t7 @t24)) % 113.31/113.52 (define @t26 () (tptp.ssList @t2)) % 113.31/113.52 (define @t27 () (=> @t26 @t25)) % 113.31/113.52 (define @t28 () (forall @t9 @t27)) % 113.31/113.52 (define @t29 () (tptp.cons @t1 tptp.nil)) % 113.31/113.52 (define @t30 () (tptp.app @t1 @t12)) % 113.31/113.52 (define @t31 () (tptp.frontsegP @t2 @t1)) % 113.31/113.52 (define @t32 () (tptp.ssList @t1)) % 113.31/113.52 (define @t33 () (tptp.app @t12 @t1)) % 113.31/113.52 (define @t34 () (tptp.rearsegP @t2 @t1)) % 113.31/113.52 (define @t35 () (tptp.segmentP @t2 @t1)) % 113.31/113.52 (define @t36 () (tptp.leq @t12 @t1)) % 113.31/113.52 (define @t37 () (tptp.leq @t1 @t12)) % 113.31/113.52 (define @t38 () (@var "Z" $$unsorted)) % 113.31/113.52 (define @t39 () (@var "Y" $$unsorted)) % 113.31/113.52 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 113.31/113.52 (define @t41 () (tptp.ssList @t38)) % 113.31/113.52 (define @t42 () (@list @t38)) % 113.31/113.52 (define @t43 () (tptp.ssList @t39)) % 113.31/113.52 (define @t44 () (@list @t39)) % 113.31/113.52 (define @t45 () (tptp.ssItem @t12)) % 113.31/113.52 (define @t46 () (tptp.lt @t1 @t12)) % 113.31/113.52 (define @t47 () (= @t1 @t12)) % 113.31/113.52 (define @t48 () (forall @t7 (=> @t32 @t5))) % 113.31/113.52 (define @t49 () (=> @t26 @t48)) % 113.31/113.52 (define @t50 () (forall @t9 @t49)) % 113.31/113.52 (define @t51 () (tptp.cons @t1 @t2)) % 113.31/113.52 (define @t52 () (tptp.ssList @t51)) % 113.31/113.52 (define @t53 () (forall @t7 (=> @t6 @t52))) % 113.31/113.52 (define @t54 () (=> @t26 @t53)) % 113.31/113.52 (define @t55 () (forall @t9 @t54)) % 113.31/113.52 (define @t56 () (tptp.ssList tptp.nil)) % 113.31/113.52 (define @t57 () (not (= @t51 @t2))) % 113.31/113.52 (define @t58 () (=> @t6 @t57)) % 113.31/113.52 (define @t59 () (forall @t7 @t58)) % 113.31/113.52 (define @t60 () (=> @t26 @t59)) % 113.31/113.52 (define @t61 () (forall @t9 @t60)) % 113.31/113.52 (define @t62 () (= @t1 @t2)) % 113.31/113.52 (define @t63 () (tptp.cons @t12 @t1)) % 113.31/113.52 (define @t64 () (= tptp.nil @t2)) % 113.31/113.52 (define @t65 () (tptp.hd @t2)) % 113.31/113.52 (define @t66 () (not @t64)) % 113.31/113.52 (define @t67 () (tptp.tl @t2)) % 113.31/113.52 (define @t68 () (tptp.app @t2 @t1)) % 113.31/113.52 (define @t69 () (tptp.app @t1 @t2)) % 113.31/113.52 (define @t70 () (tptp.app tptp.nil @t2)) % 113.31/113.52 (define @t71 () (=> @t26 (= @t70 @t2))) % 113.31/113.52 (define @t72 () (forall @t9 @t71)) % 113.31/113.52 (define @t73 () (tptp.leq @t1 @t2)) % 113.31/113.52 (define @t74 () (tptp.leq @t2 @t1)) % 113.31/113.52 (define @t75 () (tptp.geq @t2 @t1)) % 113.31/113.52 (define @t76 () (tptp.lt @t1 @t2)) % 113.31/113.52 (define @t77 () (tptp.lt @t2 @t1)) % 113.31/113.52 (define @t78 () (tptp.lt @t2 @t12)) % 113.31/113.52 (define @t79 () (tptp.gt @t2 @t1)) % 113.31/113.52 (define @t80 () (tptp.memberP @t12 @t2)) % 113.31/113.52 (define @t81 () (not (tptp.memberP tptp.nil @t2))) % 113.31/113.52 (define @t82 () (forall @t9 (=> @t8 @t81))) % 113.31/113.52 (define @t83 () (tptp.app @t12 @t2)) % 113.31/113.52 (define @t84 () (tptp.segmentP @t1 @t2)) % 113.31/113.52 (define @t85 () (tptp.segmentP @t2 @t2)) % 113.31/113.52 (define @t86 () (forall @t9 (=> @t26 @t85))) % 113.31/113.52 (define @t87 () (tptp.segmentP (tptp.app @t83 @t10) @t1)) % 113.31/113.52 (define @t88 () (=> @t35 @t87)) % 113.31/113.52 (define @t89 () (forall @t16 (=> @t14 @t88))) % 113.31/113.52 (define @t90 () (=> @t18 @t89)) % 113.31/113.52 (define @t91 () (forall @t20 @t90)) % 113.31/113.52 (define @t92 () (=> @t32 @t91)) % 113.31/113.52 (define @t93 () (forall @t7 @t92)) % 113.31/113.52 (define @t94 () (=> @t26 @t93)) % 113.31/113.52 (define @t95 () (forall @t9 @t94)) % 113.31/113.52 (define @t96 () (tptp.cons @t2 tptp.nil)) % 113.31/113.52 (define @t97 () (tptp.hd @t1)) % 113.31/113.52 (define @t98 () (= tptp.nil @t1)) % 113.31/113.52 (define @t99 () (not @t98)) % 113.31/113.52 (define @t100 () (tptp.cons @t2 @t1)) % 113.31/113.52 (define @t101 () (= @t12 @t2)) % 113.31/113.52 (define @t102 () (= @t51 (tptp.app @t29 @t2))) % 113.31/113.52 (define @t103 () (forall @t7 (=> @t6 @t102))) % 113.31/113.52 (define @t104 () (=> @t26 @t103)) % 113.31/113.52 (define @t105 () (forall @t9 @t104)) % 113.31/113.52 (define @t106 () (tptp.app @t2 tptp.nil)) % 113.31/113.52 (define @t107 () (=> @t26 (= @t106 @t2))) % 113.31/113.52 (define @t108 () (forall @t9 @t107)) % 113.31/113.52 (define @t109 () (tptp.neq @t2 tptp.nil)) % 113.31/113.52 (define @t110 () (or (not (tptp.neq @t1 tptp.nil)) (and @t109 @t84))) % 113.31/113.52 (define @t111 () (or @t99 @t64)) % 113.31/113.52 (define @t112 () (and @t111 @t110)) % 113.31/113.52 (define @t113 () (not (= tptp.nil @t12))) % 113.31/113.52 (define @t114 () (not (= tptp.nil @t10))) % 113.31/113.52 (define @t115 () (or @t114 @t113)) % 113.31/113.52 (define @t116 () (tptp.leq @t39 @t38)) % 113.31/113.52 (define @t117 () (tptp.memberP @t10 @t38)) % 113.31/113.52 (define @t118 () (= @t39 @t38)) % 113.31/113.52 (define @t119 () (not @t118)) % 113.31/113.52 (define @t120 () (tptp.ssItem @t38)) % 113.31/113.52 (define @t121 () (and @t120 @t119 @t117 @t116)) % 113.31/113.52 (define @t122 () (exists @t42 @t121)) % 113.31/113.52 (define @t123 () (not (tptp.memberP @t10 @t39))) % 113.31/113.52 (define @t124 () (tptp.cons @t39 tptp.nil)) % 113.31/113.52 (define @t125 () (not (= @t124 @t12))) % 113.31/113.52 (define @t126 () (or @t125 @t123 @t122)) % 113.31/113.52 (define @t127 () (tptp.ssItem @t39)) % 113.31/113.52 (define @t128 () (=> @t127 @t126)) % 113.31/113.52 (define @t129 () (forall @t44 @t128)) % 113.31/113.52 (define @t130 () (and @t129 @t115)) % 113.31/113.52 (define @t131 () (not (= @t2 @t12))) % 113.31/113.52 (define @t132 () (not (= @t1 @t10))) % 113.31/113.52 (define @t133 () (or @t132 @t131 @t130 @t112)) % 113.31/113.52 (define @t134 () (=> @t14 @t133)) % 113.31/113.52 (define @t135 () (forall @t16 @t134)) % 113.31/113.52 (define @t136 () (=> @t18 @t135)) % 113.31/113.52 (define @t137 () (forall @t20 @t136)) % 113.31/113.52 (define @t138 () (=> @t32 @t137)) % 113.31/113.52 (define @t139 () (forall @t7 @t138)) % 113.31/113.52 (define @t140 () (=> @t26 @t139)) % 113.31/113.52 (define @t141 () (forall @t9 @t140)) % 113.31/113.52 (define @t142 () (not @t141)) % 113.31/113.52 (define @t143 () (= @t2 tptp.nil)) % 113.31/113.52 (define @t144 () (not @t143)) % 113.31/113.52 (define @t145 () (@var "BOUND_VARIABLE_11139" $$unsorted)) % 113.31/113.52 (define @t146 () (not (= tptp.nil @t145))) % 113.31/113.52 (define @t147 () (@var "BOUND_VARIABLE_11141" $$unsorted)) % 113.31/113.52 (define @t148 () (not @t120)) % 113.31/113.52 (define @t149 () (or (not (tptp.ssItem @t147)) (not (= @t2 (tptp.cons @t147 tptp.nil))) (not (tptp.memberP @t145 @t147)) (not (forall @t42 (or @t148 (= @t38 @t147) (not (tptp.memberP @t145 @t38)) (not (tptp.leq @t147 @t38))))))) % 113.31/113.52 (define @t150 () (or (not (tptp.neq @t145 tptp.nil)) (and @t109 (tptp.segmentP @t145 @t2)))) % 113.31/113.52 (define @t151 () (not (tptp.ssList @t145))) % 113.31/113.52 (define @t152 () (not @t26)) % 113.31/113.52 (define @t153 () (@list @t2 @t145 @t147)) % 113.31/113.52 (define @t154 () (forall @t153 (or @t152 @t151 (and (or @t146 @t143) @t150) (and @t149 (or @t146 @t144))))) % 113.31/113.52 (define @t155 () (@quantifiers_skolemize @t154 2)) % 113.31/113.52 (define @t156 () (tptp.ssItem @t155)) % 113.31/113.52 (define @t157 () (@quantifiers_skolemize @t154 1)) % 113.31/113.52 (define @t158 () (tptp.memberP @t157 @t155)) % 113.31/113.52 (define @t159 () (not @t158)) % 113.31/113.52 (define @t160 () (tptp.cons @t155 tptp.nil)) % 113.31/113.52 (define @t161 () (@quantifiers_skolemize @t154 0)) % 113.31/113.52 (define @t162 () (= @t161 @t160)) % 113.31/113.52 (define @t163 () (not @t162)) % 113.31/113.52 (define @t164 () (not @t156)) % 113.31/113.52 (define @t165 () (or @t164 @t163 @t159 (not (forall @t42 (or @t148 (= @t38 @t155) (not (tptp.memberP @t157 @t38)) (not (tptp.leq @t155 @t38))))))) % 113.31/113.52 (define @t166 () (tptp.memberP tptp.nil @t155)) % 113.31/113.52 (define @t167 () (not @t166)) % 113.31/113.52 (define @t168 () (or @t164 @t167)) % 113.31/113.52 (define @t169 () (= tptp.nil @t157)) % 113.31/113.52 (define @t170 () (and @t169 @t158)) % 113.31/113.52 (define @t171 () (not @t169)) % 113.31/113.52 (define @t172 () (not (= @t145 tptp.nil))) % 113.31/113.52 (define @t173 () (or @t172 @t144)) % 113.31/113.52 (define @t174 () (and @t149 @t173)) % 113.31/113.52 (define @t175 () (or @t172 @t143)) % 113.31/113.52 (define @t176 () (and @t175 @t150)) % 113.31/113.52 (define @t177 () (or @t152 @t151 @t176 @t174)) % 113.31/113.52 (define @t178 () (or @t151 @t176 @t174)) % 113.31/113.52 (define @t179 () (or @t152 @t178)) % 113.31/113.52 (define @t180 () (forall @t153 @t179)) % 113.31/113.52 (define @t181 () (@list @t145 @t147)) % 113.31/113.52 (define @t182 () (forall @t181 @t179)) % 113.31/113.52 (define @t183 () (forall @t181 @t178)) % 113.31/113.52 (define @t184 () (@var "BOUND_VARIABLE_11115" $$unsorted)) % 113.31/113.52 (define @t185 () (or @t152 @t183)) % 113.31/113.52 (define @t186 () (not (= @t1 tptp.nil))) % 113.31/113.52 (define @t187 () (or @t186 @t144)) % 113.31/113.52 (define @t188 () (not (tptp.memberP @t1 @t38))) % 113.31/113.52 (define @t189 () (or (not (tptp.ssItem @t184)) (not (= @t2 (tptp.cons @t184 tptp.nil))) (not (tptp.memberP @t1 @t184)) (not (forall @t42 (or @t148 (= @t38 @t184) @t188 (not (tptp.leq @t184 @t38))))))) % 113.31/113.52 (define @t190 () (and @t189 @t187)) % 113.31/113.52 (define @t191 () (and (or @t186 @t143) @t110)) % 113.31/113.52 (define @t192 () (not @t32)) % 113.31/113.52 (define @t193 () (or @t192 @t191 @t190)) % 113.31/113.52 (define @t194 () (forall (@list @t1 @t184) @t193)) % 113.31/113.52 (define @t195 () (or @t152 @t194)) % 113.31/113.52 (define @t196 () (@list @t184)) % 113.31/113.52 (define @t197 () (forall @t196 @t193)) % 113.31/113.52 (define @t198 () (forall @t196 @t187)) % 113.31/113.52 (define @t199 () (forall @t196 @t189)) % 113.31/113.52 (define @t200 () (@var "BOUND_VARIABLE_11084" $$unsorted)) % 113.31/113.52 (define @t201 () (@list @t200)) % 113.31/113.52 (define @t202 () (and @t199 @t198)) % 113.31/113.52 (define @t203 () (forall @t196 @t190)) % 113.31/113.52 (define @t204 () (or @t192 @t191 @t203)) % 113.31/113.52 (define @t205 () (and (forall (@list @t200) (or (not (tptp.ssItem @t200)) (not (= @t2 (tptp.cons @t200 tptp.nil))) (not (tptp.memberP @t1 @t200)) (not (forall @t42 (or @t148 (= @t38 @t200) @t188 (not (tptp.leq @t200 @t38))))))) @t187)) % 113.31/113.52 (define @t206 () (or @t192 @t191 @t205)) % 113.31/113.52 (define @t207 () (forall @t7 @t206)) % 113.31/113.52 (define @t208 () (or @t152 @t207)) % 113.31/113.52 (define @t209 () (or @t152 @t206)) % 113.31/113.52 (define @t210 () (or @t192 @t191 @t152 @t205)) % 113.31/113.52 (define @t211 () (or @t191 @t192 @t152 @t205)) % 113.31/113.52 (define @t212 () (@var "BOUND_VARIABLE_11049" $$unsorted)) % 113.31/113.52 (define @t213 () (@list @t212)) % 113.31/113.52 (define @t214 () (forall @t213 @t187)) % 113.31/113.52 (define @t215 () (not (forall @t42 (or @t148 (= @t38 @t212) @t188 (not (tptp.leq @t212 @t38)))))) % 113.31/113.52 (define @t216 () (not (tptp.memberP @t1 @t212))) % 113.31/113.52 (define @t217 () (tptp.cons @t212 tptp.nil)) % 113.31/113.52 (define @t218 () (not (tptp.ssItem @t212))) % 113.31/113.52 (define @t219 () (or @t218 (not (= @t2 @t217)) @t216 @t215)) % 113.31/113.52 (define @t220 () (forall @t213 @t219)) % 113.31/113.52 (define @t221 () (@list @t212)) % 113.31/113.52 (define @t222 () (and @t220 @t214)) % 113.31/113.52 (define @t223 () (and @t219 @t187)) % 113.31/113.52 (define @t224 () (forall @t213 @t223)) % 113.31/113.52 (define @t225 () (or @t152 @t224)) % 113.31/113.52 (define @t226 () (or @t152 @t223)) % 113.31/113.52 (define @t227 () (not (= @t2 @t2))) % 113.31/113.52 (define @t228 () (or @t152 @t227 @t223)) % 113.31/113.52 (define @t229 () (not (= @t12 tptp.nil))) % 113.31/113.52 (define @t230 () (or @t186 @t229)) % 113.31/113.52 (define @t231 () (or @t218 (not (= @t12 @t217)) @t216 @t215)) % 113.31/113.52 (define @t232 () (and @t231 @t230)) % 113.31/113.52 (define @t233 () (not @t18)) % 113.31/113.52 (define @t234 () (or @t131 @t233 @t131 @t232)) % 113.31/113.52 (define @t235 () (or @t233 @t131 @t232)) % 113.31/113.52 (define @t236 () (forall @t20 @t235)) % 113.31/113.52 (define @t237 () (forall @t213 @t236)) % 113.31/113.52 (define @t238 () (forall (@list @t212 @t12) @t235)) % 113.31/113.52 (define @t239 () (forall (@list @t12 @t212) @t235)) % 113.31/113.52 (define @t240 () (forall @t213 @t235)) % 113.31/113.52 (define @t241 () (forall @t213 @t230)) % 113.31/113.52 (define @t242 () (forall @t213 @t231)) % 113.31/113.52 (define @t243 () (@var "BOUND_VARIABLE_11018" $$unsorted)) % 113.31/113.52 (define @t244 () (@list @t243)) % 113.31/113.52 (define @t245 () (and @t242 @t241)) % 113.31/113.52 (define @t246 () (forall @t213 @t232)) % 113.31/113.52 (define @t247 () (or @t233 @t131 @t246)) % 113.31/113.52 (define @t248 () (and (forall (@list @t243) (or (not (tptp.ssItem @t243)) (not (= @t12 (tptp.cons @t243 tptp.nil))) (not (tptp.memberP @t1 @t243)) (not (forall @t42 (or @t148 (= @t38 @t243) @t188 (not (tptp.leq @t243 @t38))))))) @t230)) % 113.31/113.52 (define @t249 () (or @t233 @t131 @t248)) % 113.31/113.52 (define @t250 () (forall @t20 @t249)) % 113.31/113.52 (define @t251 () (or @t191 @t192 @t250)) % 113.31/113.52 (define @t252 () (or @t191 @t192 @t249)) % 113.31/113.52 (define @t253 () (or @t233 @t131 @t191 @t192 @t248)) % 113.31/113.52 (define @t254 () (or @t131 @t191 @t192 @t248)) % 113.31/113.52 (define @t255 () (@var "BOUND_VARIABLE_10972" $$unsorted)) % 113.31/113.52 (define @t256 () (@list @t255)) % 113.31/113.52 (define @t257 () (forall @t256 @t230)) % 113.31/113.52 (define @t258 () (not (tptp.leq @t255 @t38))) % 113.31/113.52 (define @t259 () (= @t38 @t255)) % 113.31/113.52 (define @t260 () (not (= @t12 (tptp.cons @t255 tptp.nil)))) % 113.31/113.52 (define @t261 () (not (tptp.ssItem @t255))) % 113.31/113.52 (define @t262 () (or @t261 @t260 (not (tptp.memberP @t1 @t255)) (not (forall @t42 (or @t148 @t259 @t188 @t258))))) % 113.31/113.52 (define @t263 () (forall @t256 @t262)) % 113.31/113.52 (define @t264 () (@list @t255)) % 113.31/113.52 (define @t265 () (and @t263 @t257)) % 113.31/113.52 (define @t266 () (and @t262 @t230)) % 113.31/113.52 (define @t267 () (forall @t256 @t266)) % 113.31/113.52 (define @t268 () (or @t192 @t267)) % 113.31/113.52 (define @t269 () (or @t192 @t266)) % 113.31/113.52 (define @t270 () (not (= @t1 @t1))) % 113.31/113.52 (define @t271 () (or @t192 @t270 @t266)) % 113.31/113.52 (define @t272 () (or (not (= @t10 tptp.nil)) @t229)) % 113.31/113.52 (define @t273 () (not @t117)) % 113.31/113.52 (define @t274 () (not (tptp.memberP @t10 @t255))) % 113.31/113.52 (define @t275 () (and (or @t261 @t260 @t274 (not (forall @t42 (or @t148 @t259 @t273 @t258)))) @t272)) % 113.31/113.52 (define @t276 () (not @t14)) % 113.31/113.52 (define @t277 () (or @t132 @t276 @t132 @t275)) % 113.31/113.52 (define @t278 () (or @t276 @t132 @t275)) % 113.31/113.52 (define @t279 () (forall @t16 @t278)) % 113.31/113.52 (define @t280 () (forall @t256 @t279)) % 113.31/113.52 (define @t281 () (forall (@list @t255 @t10) @t278)) % 113.31/113.52 (define @t282 () (@list @t10 @t255)) % 113.31/113.52 (define @t283 () (or @t148 (= @t255 @t38) @t273 @t258)) % 113.31/113.52 (define @t284 () (forall @t42 @t283)) % 113.31/113.52 (define @t285 () (not @t284)) % 113.31/113.52 (define @t286 () (or @t261 @t260 @t274 @t285)) % 113.31/113.52 (define @t287 () (and @t286 @t272)) % 113.31/113.52 (define @t288 () (or @t276 @t132 @t287)) % 113.31/113.52 (define @t289 () (forall @t282 @t288)) % 113.31/113.52 (define @t290 () (forall @t256 @t288)) % 113.31/113.52 (define @t291 () (forall @t256 @t272)) % 113.31/113.52 (define @t292 () (forall @t256 @t286)) % 113.31/113.52 (define @t293 () (and @t292 @t291)) % 113.31/113.52 (define @t294 () (forall @t256 @t287)) % 113.31/113.52 (define @t295 () (or @t276 @t132 @t294)) % 113.31/113.52 (define @t296 () (not @t116)) % 113.31/113.52 (define @t297 () (not (forall @t42 (or @t148 @t118 @t273 @t296)))) % 113.31/113.52 (define @t298 () (not (= @t12 @t124))) % 113.31/113.52 (define @t299 () (not @t127)) % 113.31/113.52 (define @t300 () (or @t299 @t298 @t123 @t297)) % 113.31/113.52 (define @t301 () (and (forall @t44 @t300) @t272)) % 113.31/113.52 (define @t302 () (or @t276 @t132 @t301)) % 113.31/113.52 (define @t303 () (forall @t16 @t302)) % 113.31/113.52 (define @t304 () (or @t131 @t191 @t303)) % 113.31/113.52 (define @t305 () (or @t131 @t191 @t302)) % 113.31/113.52 (define @t306 () (or @t276 @t132 @t131 @t301 @t191)) % 113.31/113.52 (define @t307 () (or @t132 @t131 @t301 @t191)) % 113.31/113.52 (define @t308 () (or @t298 @t123 @t297)) % 113.31/113.52 (define @t309 () (not @t119)) % 113.31/113.52 (define @t310 () (or @t148 @t309 @t273 @t296)) % 113.31/113.52 (define @t311 () (forall @t42 (not @t121))) % 113.31/113.52 (define @t312 () (not @t311)) % 113.31/113.52 (define @t313 () (= tptp.nil @t161)) % 113.31/113.52 (define @t314 () (not @t313)) % 113.31/113.52 (define @t315 () (or @t171 @t314)) % 113.31/113.52 (define @t316 () (and @t165 @t315)) % 113.31/113.52 (define @t317 () (tptp.segmentP @t157 @t161)) % 113.31/113.52 (define @t318 () (tptp.neq @t161 tptp.nil)) % 113.31/113.52 (define @t319 () (and @t318 @t317)) % 113.31/113.52 (define @t320 () (tptp.neq @t157 tptp.nil)) % 113.31/113.52 (define @t321 () (not @t320)) % 113.31/113.52 (define @t322 () (or @t321 @t319)) % 113.31/113.52 (define @t323 () (or @t171 @t313)) % 113.31/113.52 (define @t324 () (and @t323 @t322)) % 113.31/113.52 (define @t325 () (tptp.ssList @t157)) % 113.31/113.52 (define @t326 () (not @t325)) % 113.31/113.52 (define @t327 () (tptp.ssList @t161)) % 113.31/113.52 (define @t328 () (not @t327)) % 113.31/113.52 (define @t329 () (or @t328 @t326 @t324 @t316)) % 113.31/113.52 (define @t330 () (not @t329)) % 113.31/113.52 (define @t331 () (not @t154)) % 113.31/113.52 (define @t332 () (= @t161 tptp.nil)) % 113.31/113.52 (define @t333 () (not @t332)) % 113.31/113.52 (define @t334 () (or @t171 @t333)) % 113.31/113.52 (define @t335 () (and @t165 @t334)) % 113.31/113.52 (define @t336 () (or @t171 @t332)) % 113.31/113.52 (define @t337 () (and @t336 @t322)) % 113.31/113.52 (define @t338 () (or @t328 @t326 @t337 @t335)) % 113.31/113.52 (define @t339 () (not @t338)) % 113.31/113.52 (define @t340 () (@list true)) % 113.31/113.52 (define @t341 () (@list @t329)) % 113.31/113.52 (define @t342 () (not @t314)) % 113.31/113.52 (define @t343 () (@var "BOUND_VARIABLE_9116" $$unsorted)) % 113.31/113.52 (define @t344 () (= (tptp.neq @t2 @t343) (not (= @t2 @t343)))) % 113.31/113.52 (define @t345 () (not (tptp.ssList @t343))) % 113.31/113.52 (define @t346 () (or @t152 @t345 @t344)) % 113.31/113.52 (define @t347 () (or @t345 @t344)) % 113.31/113.52 (define @t348 () (or @t152 @t347)) % 113.31/113.52 (define @t349 () (@list @t2 @t343)) % 113.31/113.52 (define @t350 () (forall @t349 @t348)) % 113.31/113.52 (define @t351 () (@list @t343)) % 113.31/113.52 (define @t352 () (forall @t351 @t348)) % 113.31/113.52 (define @t353 () (forall @t351 @t347)) % 113.31/113.52 (define @t354 () (@list @t1)) % 113.31/113.52 (define @t355 () (or @t152 @t353)) % 113.31/113.52 (define @t356 () (forall @t7 (or @t192 @t5))) % 113.31/113.52 (define @t357 () (tptp.neq tptp.nil tptp.nil)) % 113.31/113.52 (define @t358 () (not (= tptp.nil tptp.nil))) % 113.31/113.52 (define @t359 () (= @t357 @t358)) % 113.31/113.52 (define @t360 () (not @t56)) % 113.31/113.52 (define @t361 () (or @t360 @t360 @t359)) % 113.31/113.52 (define @t362 () (forall @t349 @t346)) % 113.31/113.52 (define @t363 () (not @t357)) % 113.31/113.52 (define @t364 () (or @t360 @t360 @t363)) % 113.31/113.52 (define @t365 () (@list false)) % 113.31/113.52 (define @t366 () (@list @t362)) % 113.31/113.52 (define @t367 () (@list false false)) % 113.31/113.52 (define @t368 () (and @t169 @t363)) % 113.31/113.52 (define @t369 () (not @t171)) % 113.31/113.52 (define @t370 () (@list @t169)) % 113.31/113.52 (define @t371 () (@list true false)) % 113.31/113.52 (define @t372 () (@list @t165)) % 113.31/113.52 (define @t373 () (= @t2 @t70)) % 113.31/113.52 (define @t374 () (@list @t161)) % 113.31/113.52 (define @t375 () (tptp.app tptp.nil @t161)) % 113.31/113.52 (define @t376 () (= @t161 @t375)) % 113.31/113.52 (define @t377 () (or @t328 @t376)) % 113.31/113.52 (define @t378 () (@var "BOUND_VARIABLE_10540" $$unsorted)) % 113.31/113.52 (define @t379 () (= (tptp.cons @t378 @t2) (tptp.app (tptp.cons @t378 tptp.nil) @t2))) % 113.31/113.52 (define @t380 () (not (tptp.ssItem @t378))) % 113.31/113.52 (define @t381 () (or @t380 @t379)) % 113.31/113.52 (define @t382 () (or @t152 @t381)) % 113.31/113.52 (define @t383 () (forall (@list @t2 @t378) @t382)) % 113.31/113.52 (define @t384 () (@list @t378)) % 113.31/113.52 (define @t385 () (forall @t384 @t382)) % 113.31/113.52 (define @t386 () (forall @t384 @t381)) % 113.31/113.52 (define @t387 () (or @t152 @t386)) % 113.31/113.52 (define @t388 () (not @t6)) % 113.31/113.52 (define @t389 () (forall @t7 (or @t388 @t102))) % 113.31/113.52 (define @t390 () (@var "BOUND_VARIABLE_8243" $$unsorted)) % 113.31/113.52 (define @t391 () (not (tptp.ssList @t390))) % 113.31/113.52 (define @t392 () (@list @t12 @t390)) % 113.31/113.52 (define @t393 () (forall @t392 (or @t233 @t391 (not (= @t157 (tptp.app @t12 (tptp.cons @t155 @t390))))))) % 113.31/113.52 (define @t394 () (@quantifiers_skolemize @t393 1)) % 113.31/113.52 (define @t395 () (@list @t394 @t155)) % 113.31/113.52 (define @t396 () (@var "BOUND_VARIABLE_8268" $$unsorted)) % 113.31/113.52 (define @t397 () (= (tptp.memberP @t2 @t396) (not (forall @t392 (or @t233 @t391 (not (= @t2 (tptp.app @t12 (tptp.cons @t396 @t390))))))))) % 113.31/113.52 (define @t398 () (not (tptp.ssItem @t396))) % 113.31/113.52 (define @t399 () (or @t398 @t397)) % 113.31/113.52 (define @t400 () (or @t152 @t399)) % 113.31/113.52 (define @t401 () (forall (@list @t2 @t396) @t400)) % 113.31/113.52 (define @t402 () (@list @t396)) % 113.31/113.52 (define @t403 () (forall @t402 @t400)) % 113.31/113.52 (define @t404 () (forall @t402 @t399)) % 113.31/113.52 (define @t405 () (or @t152 @t404)) % 113.31/113.52 (define @t406 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t390))))) % 113.31/113.52 (define @t407 () (or @t233 @t391 @t406)) % 113.31/113.52 (define @t408 () (= @t22 (not (forall @t392 @t407)))) % 113.31/113.52 (define @t409 () (forall @t7 (or @t388 @t408))) % 113.31/113.52 (define @t410 () (or @t391 @t406)) % 113.31/113.52 (define @t411 () (or @t233 @t410)) % 113.31/113.52 (define @t412 () (forall @t392 @t411)) % 113.31/113.52 (define @t413 () (@list @t390)) % 113.31/113.52 (define @t414 () (forall @t413 @t411)) % 113.31/113.52 (define @t415 () (forall @t413 @t410)) % 113.31/113.52 (define @t416 () (@list @t10)) % 113.31/113.52 (define @t417 () (or @t233 @t415)) % 113.31/113.52 (define @t418 () (= @t2 @t13)) % 113.31/113.52 (define @t419 () (forall @t16 (or @t276 (not @t418)))) % 113.31/113.52 (define @t420 () (not @t419)) % 113.31/113.52 (define @t421 () (and @t18 @t420)) % 113.31/113.52 (define @t422 () (forall @t20 (not @t421))) % 113.31/113.52 (define @t423 () (not @t422)) % 113.31/113.52 (define @t424 () (and @t14 @t418)) % 113.31/113.52 (define @t425 () (forall @t16 (not @t424))) % 113.31/113.52 (define @t426 () (not @t425)) % 113.31/113.52 (define @t427 () (not @t393)) % 113.31/113.52 (define @t428 () (= @t158 @t427)) % 113.31/113.52 (define @t429 () (or @t326 @t164 @t428)) % 113.31/113.52 (define @t430 () (@list false false false)) % 113.31/113.52 (define @t431 () (tptp.cons @t155 @t394)) % 113.31/113.52 (define @t432 () (@quantifiers_skolemize @t393 0)) % 113.31/113.52 (define @t433 () (tptp.app @t432 @t431)) % 113.31/113.52 (define @t434 () (= @t157 @t433)) % 113.31/113.52 (define @t435 () (not @t434)) % 113.31/113.52 (define @t436 () (tptp.ssList @t394)) % 113.31/113.52 (define @t437 () (not @t436)) % 113.31/113.52 (define @t438 () (tptp.ssList @t432)) % 113.31/113.52 (define @t439 () (not @t438)) % 113.31/113.52 (define @t440 () (or @t439 @t437 @t435)) % 113.31/113.52 (define @t441 () (not @t440)) % 113.31/113.52 (define @t442 () (@list @t440)) % 113.31/113.52 (define @t443 () (tptp.app @t160 @t394)) % 113.31/113.52 (define @t444 () (= @t431 @t443)) % 113.31/113.52 (define @t445 () (or @t437 @t164 @t444)) % 113.31/113.52 (define @t446 () (@var "BOUND_VARIABLE_10215" $$unsorted)) % 113.31/113.52 (define @t447 () (@var "BOUND_VARIABLE_10219" $$unsorted)) % 113.31/113.52 (define @t448 () (@var "BOUND_VARIABLE_10217" $$unsorted)) % 113.31/113.52 (define @t449 () (tptp.segmentP (tptp.app (tptp.app @t448 @t2) @t447) @t446)) % 113.31/113.52 (define @t450 () (not (tptp.ssList @t447))) % 113.31/113.52 (define @t451 () (not (tptp.ssList @t448))) % 113.31/113.52 (define @t452 () (not (tptp.segmentP @t2 @t446))) % 113.31/113.52 (define @t453 () (not (tptp.ssList @t446))) % 113.31/113.52 (define @t454 () (or @t453 @t452 @t451 @t450 @t449)) % 113.31/113.52 (define @t455 () (or @t152 @t454)) % 113.31/113.52 (define @t456 () (forall (@list @t2 @t446 @t448 @t447) @t455)) % 113.31/113.52 (define @t457 () (@list @t446 @t448 @t447)) % 113.31/113.52 (define @t458 () (forall @t457 @t455)) % 113.31/113.52 (define @t459 () (forall @t457 @t454)) % 113.31/113.52 (define @t460 () (@var "BOUND_VARIABLE_10196" $$unsorted)) % 113.31/113.52 (define @t461 () (@var "BOUND_VARIABLE_10194" $$unsorted)) % 113.31/113.52 (define @t462 () (or @t152 @t459)) % 113.31/113.52 (define @t463 () (tptp.segmentP (tptp.app (tptp.app @t461 @t2) @t460) @t1)) % 113.31/113.52 (define @t464 () (not (tptp.ssList @t460))) % 113.31/113.52 (define @t465 () (not (tptp.ssList @t461))) % 113.31/113.52 (define @t466 () (not @t35)) % 113.31/113.52 (define @t467 () (or @t192 @t466 @t465 @t464 @t463)) % 113.31/113.52 (define @t468 () (@list @t1 @t461 @t460)) % 113.31/113.52 (define @t469 () (forall @t468 @t467)) % 113.31/113.52 (define @t470 () (or @t465 @t464 @t463)) % 113.31/113.52 (define @t471 () (or @t192 @t466 @t470)) % 113.31/113.52 (define @t472 () (forall @t468 @t471)) % 113.31/113.52 (define @t473 () (@list @t461 @t460)) % 113.31/113.52 (define @t474 () (forall @t473 @t471)) % 113.31/113.52 (define @t475 () (forall @t473 @t470)) % 113.31/113.52 (define @t476 () (@var "BOUND_VARIABLE_10177" $$unsorted)) % 113.31/113.52 (define @t477 () (or @t192 @t466 @t475)) % 113.31/113.52 (define @t478 () (tptp.segmentP (tptp.app @t83 @t476) @t1)) % 113.31/113.52 (define @t479 () (not (tptp.ssList @t476))) % 113.31/113.52 (define @t480 () (or @t233 @t479 @t478)) % 113.31/113.52 (define @t481 () (@list @t12 @t476)) % 113.31/113.52 (define @t482 () (forall @t481 @t480)) % 113.31/113.52 (define @t483 () (or @t192 @t466 @t482)) % 113.31/113.52 (define @t484 () (or @t466 @t482)) % 113.31/113.52 (define @t485 () (or @t479 @t478)) % 113.31/113.52 (define @t486 () (or @t233 @t485)) % 113.31/113.52 (define @t487 () (forall @t481 @t486)) % 113.31/113.52 (define @t488 () (@list @t476)) % 113.31/113.52 (define @t489 () (forall @t488 @t486)) % 113.31/113.52 (define @t490 () (forall @t488 @t485)) % 113.31/113.52 (define @t491 () (or @t233 @t490)) % 113.31/113.52 (define @t492 () (or @t276 @t87)) % 113.31/113.52 (define @t493 () (forall @t16 @t492)) % 113.31/113.52 (define @t494 () (or @t233 @t493)) % 113.31/113.52 (define @t495 () (forall @t20 @t494)) % 113.31/113.52 (define @t496 () (or @t466 @t495)) % 113.31/113.52 (define @t497 () (or @t466 @t494)) % 113.31/113.52 (define @t498 () (or @t233 @t466 @t493)) % 113.31/113.52 (define @t499 () (or @t466 @t493)) % 113.31/113.52 (define @t500 () (or @t466 @t492)) % 113.31/113.52 (define @t501 () (or @t276 @t466 @t87)) % 113.31/113.52 (define @t502 () (= @t2 @t106)) % 113.31/113.52 (define @t503 () (= @t157 (tptp.app @t157 tptp.nil))) % 113.31/113.52 (define @t504 () (or @t326 @t503)) % 113.31/113.52 (define @t505 () (= @t318 @t333)) % 113.31/113.52 (define @t506 () (or @t328 @t360 @t505)) % 113.31/113.52 (define @t507 () (= @t318 @t314)) % 113.31/113.52 (define @t508 () (or @t328 @t360 @t507)) % 113.31/113.52 (define @t509 () (@var "BOUND_VARIABLE_9160" $$unsorted)) % 113.31/113.52 (define @t510 () (not (= @t2 (tptp.cons @t509 @t2)))) % 113.31/113.52 (define @t511 () (not (tptp.ssItem @t509))) % 113.31/113.52 (define @t512 () (or @t511 @t510)) % 113.31/113.52 (define @t513 () (or @t152 @t512)) % 113.31/113.52 (define @t514 () (forall (@list @t2 @t509) @t513)) % 113.31/113.52 (define @t515 () (@list @t509)) % 113.31/113.52 (define @t516 () (forall @t515 @t513)) % 113.31/113.52 (define @t517 () (forall @t515 @t512)) % 113.31/113.52 (define @t518 () (or @t152 @t517)) % 113.31/113.52 (define @t519 () (not (= @t2 @t51))) % 113.31/113.52 (define @t520 () (forall @t7 (or @t388 @t519))) % 113.31/113.52 (define @t521 () (= tptp.nil @t160)) % 113.31/113.52 (define @t522 () (not @t521)) % 113.31/113.52 (define @t523 () (or @t360 @t164 @t522)) % 113.31/113.52 (define @t524 () (and @t162 @t522)) % 113.31/113.52 (define @t525 () (not @t507)) % 113.31/113.52 (define @t526 () (not @t317)) % 113.31/113.52 (define @t527 () (tptp.app @t433 tptp.nil)) % 113.31/113.52 (define @t528 () (tptp.segmentP @t527 @t161)) % 113.31/113.52 (define @t529 () (not @t528)) % 113.31/113.52 (define @t530 () (not @t503)) % 113.31/113.52 (define @t531 () (and @t526 @t503 @t434)) % 113.31/113.52 (define @t532 () (@var "BOUND_VARIABLE_9137" $$unsorted)) % 113.31/113.52 (define @t533 () (tptp.ssList (tptp.cons @t532 @t2))) % 113.31/113.52 (define @t534 () (not (tptp.ssItem @t532))) % 113.31/113.52 (define @t535 () (or @t534 @t533)) % 113.31/113.52 (define @t536 () (or @t152 @t535)) % 113.31/113.52 (define @t537 () (forall (@list @t2 @t532) @t536)) % 113.31/113.52 (define @t538 () (@list @t532)) % 113.31/113.52 (define @t539 () (forall @t538 @t536)) % 113.31/113.52 (define @t540 () (forall @t538 @t535)) % 113.31/113.52 (define @t541 () (or @t152 @t540)) % 113.31/113.52 (define @t542 () (forall @t7 (or @t388 @t52))) % 113.31/113.52 (define @t543 () (tptp.ssList @t431)) % 113.31/113.52 (define @t544 () (or @t437 @t164 @t543)) % 113.31/113.52 (define @t545 () (tptp.segmentP @t431 @t161)) % 113.31/113.52 (define @t546 () (not @t545)) % 113.31/113.52 (define @t547 () (not @t543)) % 113.31/113.52 (define @t548 () (or @t547 @t328 @t546 @t439 @t360 @t528)) % 113.31/113.52 (define @t549 () (tptp.segmentP @t161 @t161)) % 113.31/113.52 (define @t550 () (or @t328 @t549)) % 113.31/113.52 (define @t551 () (tptp.segmentP (tptp.app @t375 @t394) @t161)) % 113.31/113.52 (define @t552 () (not @t549)) % 113.31/113.52 (define @t553 () (or @t328 @t328 @t552 @t360 @t437 @t551)) % 113.31/113.52 (define @t554 () (not @t551)) % 113.31/113.52 (define @t555 () (not @t444)) % 113.31/113.52 (define @t556 () (not @t376)) % 113.31/113.52 (define @t557 () (and @t551 @t376 @t162 @t444 @t546)) % 113.31/113.52 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 113.31/113.52 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 113.31/113.52 (assume @p3 @t28) % 113.31/113.52 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 113.31/113.52 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 113.31/113.52 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 113.31/113.52 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 113.31/113.52 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not (and @t37 @t36))))))))))))))))) % 113.31/113.52 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t37 @t36)))))))))))))))) % 113.31/113.52 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t46 (tptp.lt @t12 @t1))))))))))))))))) % 113.31/113.52 (assume @p11 (forall @t9 (=> @t26 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t37))))))))))))))) % 113.31/113.52 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t46))))))))))))))) % 113.31/113.52 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not @t47)))))))))))))))) % 113.31/113.52 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t39))) @t2) @t47))))))))))))) % 113.31/113.52 (assume @p15 @t50) % 113.31/113.52 (assume @p16 @t55) % 113.31/113.52 (assume @p17 @t56) % 113.31/113.52 (assume @p18 @t61) % 113.31/113.52 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t62))))))))))) % 113.31/113.52 (assume @p20 (forall @t9 (=> @t26 (or @t64 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t63 @t2))))))))) % 113.31/113.52 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 113.31/113.52 (assume @p22 (forall @t9 (=> @t26 (=> @t66 (tptp.ssItem @t65))))) % 113.31/113.52 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t51) @t1)))))) % 113.31/113.52 (assume @p24 (forall @t9 (=> @t26 (=> @t66 (tptp.ssList @t67))))) % 113.31/113.52 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t51) @t2)))))) % 113.31/113.52 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t68)))))) % 113.31/113.52 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (= (tptp.cons @t12 @t69) (tptp.app @t63 @t2))))))))) % 113.31/113.52 (assume @p28 @t72) % 113.31/113.52 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t74 @t73) @t3)))))) % 113.31/113.52 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t37) (tptp.leq @t2 @t12))))))))) % 113.31/113.52 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 113.31/113.52 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 @t73)))))) % 113.31/113.52 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not @t76))))))) % 113.31/113.52 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t77 @t46) @t78)))))))) % 113.31/113.52 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 @t76)))))) % 113.31/113.52 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t80))))))))) % 113.31/113.52 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t80))))))))) % 113.31/113.52 (assume @p38 @t82) % 113.31/113.52 (assume @p39 (not (tptp.singletonP tptp.nil))) % 113.31/113.52 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 113.31/113.52 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 113.31/113.52 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 113.31/113.52 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 113.31/113.52 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 113.31/113.52 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 113.31/113.52 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t64)))) % 113.31/113.52 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 113.31/113.52 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 113.31/113.52 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 113.31/113.52 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t83 @t1))))))))) % 113.31/113.52 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 113.31/113.52 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t64)))) % 113.31/113.52 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 113.31/113.52 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 @t84) @t3)))))) % 113.31/113.52 (assume @p55 @t86) % 113.31/113.52 (assume @p56 @t95) % 113.31/113.52 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 113.31/113.52 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t64)))) % 113.31/113.52 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t96)))) % 113.31/113.52 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 113.31/113.52 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t96)))) % 113.31/113.52 (assume @p62 (tptp.totalorderP tptp.nil)) % 113.31/113.52 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t96)))) % 113.31/113.52 (assume @p64 (tptp.strictorderP tptp.nil)) % 113.31/113.52 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t96)))) % 113.31/113.52 (assume @p66 (tptp.totalorderedP tptp.nil)) % 113.31/113.52 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t100) (or @t98 (and @t99 (tptp.totalorderedP @t1) (tptp.leq @t2 @t97))))))))) % 113.31/113.52 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t96)))) % 113.31/113.52 (assume @p69 (tptp.strictorderedP tptp.nil)) % 113.31/113.52 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t100) (or @t98 (and @t99 (tptp.strictorderedP @t1) (tptp.lt @t2 @t97))))))))) % 113.31/113.52 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t96)))) % 113.31/113.52 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 113.31/113.52 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t96)))) % 113.31/113.52 (assume @p74 (tptp.equalelemsP tptp.nil)) % 113.31/113.52 (assume @p75 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t6 (= @t65 @t1))))))) % 113.31/113.52 (assume @p76 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t32 (= @t67 @t1))))))) % 113.31/113.52 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t99 @t66 (= @t97 @t65) (= (tptp.tl @t1) @t67)) @t62)))))) % 113.31/113.52 (assume @p78 (forall @t9 (=> @t26 (=> @t66 (= (tptp.cons @t65 @t67) @t2))))) % 113.31/113.52 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t68) @t101)))))))) % 113.31/113.52 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t69) @t101)))))))) % 113.31/113.52 (assume @p81 @t105) % 113.31/113.52 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.app @t68 @t12) (tptp.app @t2 @t30))))))))) % 113.31/113.52 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t68) (and @t98 @t64))))))) % 113.31/113.52 (assume @p84 @t108) % 113.31/113.52 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.hd @t68) @t65))))))) % 113.31/113.52 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.tl @t68) (tptp.app @t67 @t1)))))))) % 113.31/113.52 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t75 (tptp.geq @t1 @t2)) @t3)))))) % 113.31/113.52 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t75 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 113.31/113.52 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 113.31/113.52 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 113.31/113.52 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t46) @t78)))))))) % 113.31/113.52 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (or @t3 @t77))))))) % 113.31/113.52 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 (and @t4 @t74))))))) % 113.31/113.52 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not (tptp.gt @t1 @t2)))))))) % 113.31/113.52 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t79 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 113.31/113.52 (assume @p96 @t142) % 113.31/113.52 (assume @p97 true) % 113.31/113.52 (step @p98 :rule bool-double-not-elim :args (@t156)) % 113.31/113.52 (step @p99 :rule refl :args (@t165)) % 113.31/113.52 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t165 (not @t164)))) % 113.31/113.52 (step @p101 :rule cnf_or_neg :args (@t165 0)) % 113.31/113.52 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 113.31/113.52 (step @p103 :rule reordering :premises (@p102) :args ((or @t156 @t165))) % 113.31/113.52 (step @p104 :rule bool-double-not-elim :args (@t158)) % 113.31/113.52 (step @p105 :rule nary_cong :premises (@p99 @p104) :args ((or @t165 (not @t159)))) % 113.31/113.52 (step @p106 :rule cnf_or_neg :args (@t165 2)) % 113.31/113.52 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 113.31/113.52 (step @p108 :rule reordering :premises (@p107) :args ((or @t158 @t165))) % 113.31/113.52 (step @p109 :rule bool-impl-elim :args (@t8 @t81)) % 113.31/113.52 (step @p110 :rule cong :premises (@p109) :args (@t82)) % 113.31/113.52 (step @p111 :rule eq_resolve :premises (@p38 @p110)) % 113.31/113.52 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t155))) % 113.31/113.52 (step @p113 :rule cnf_or_pos :args (@t168)) % 113.31/113.52 (step @p114 :rule reordering :premises (@p113) :args ((or @t164 @t167 (not @t168)))) % 113.31/113.52 (assume-push @p960 @t169) % 113.31/113.52 (assume-push @p961 @t158) % 113.31/113.52 (assume-push @p962 @t158) % 113.31/113.52 (assume-push @p963 @t169) % 113.31/113.52 (step @p119 :rule true_intro :premises (@p961)) % 113.31/113.52 (step @p120 :rule refl :args (@t155)) % 113.31/113.52 (step @p121 :rule cong :premises (@p960 @p120) :args (@t166)) % 113.31/113.52 (step @p122 :rule trans :premises (@p121 @p119)) % 113.31/113.52 (step @p123 :rule true_elim :premises (@p122)) % 113.31/113.52 (step-pop @p964 :rule scope :premises (@p123)) % 113.31/113.52 (step-pop @p965 :rule scope :premises (@p964)) % 113.31/113.52 (step @p124 :rule process_scope :premises (@p965) :args (@t166)) % 113.31/113.52 (step @p127 :rule and_intro :premises (@p961 @p960)) % 113.31/113.52 (step @p128 :rule modus_ponens :premises (@p127 @p124)) % 113.31/113.52 (step-pop @p966 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113.31/113.52 (step @p293 :rule eq-symm :args (@t255 @t38)) % 113.31/113.52 (step @p294 :rule refl :args (@t148)) % 113.31/113.52 (step @p295 :rule nary_cong :premises (@p294 @p293 @p292 @p291) :args (@t283)) % 113.31/113.52 (step @p296 :rule cong :premises (@p295) :args (@t284)) % 113.31/113.52 (step @p297 :rule cong :premises (@p296) :args (@t285)) % 113.31/113.52 (step @p298 :rule refl :args (@t274)) % 113.31/113.52 (step @p299 :rule refl :args (@t260)) % 113.31/113.52 (step @p300 :rule refl :args (@t261)) % 113.31/113.52 (step @p301 :rule nary_cong :premises (@p300 @p299 @p298 @p297) :args (@t286)) % 113.31/113.52 (step @p302 :rule nary_cong :premises (@p301 @p290) :args (@t287)) % 113.31/113.52 (step @p303 :rule refl :args (@t132)) % 113.31/113.52 (step @p304 :rule refl :args (@t276)) % 113.31/113.52 (step @p305 :rule nary_cong :premises (@p304 @p303 @p302) :args (@t288)) % 113.31/113.52 (step @p306 :rule cong :premises (@p305) :args (@t289)) % 113.31/113.52 (step @p307 :rule 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:premises (@p781 @p777)) % 113.31/113.52 (step @p783 :rule cong :premises (@p391 @p782) :args (@t60)) % 113.31/113.52 (step @p784 :rule cong :premises (@p783) :args (@t61)) % 113.31/113.52 (step @p785 :rule trans :premises (@p784 @p775)) % 113.31/113.52 (step @p786 :rule eq_resolve :premises (@p18 @p785)) % 113.31/113.52 (step @p787 :rule instantiate :premises (@p786) :args ((@list tptp.nil @t155))) % 113.31/113.52 (step @p788 :rule cnf_or_pos :args (@t523)) % 113.31/113.52 (step @p789 :rule reordering :premises (@p788) :args ((or @t360 @t164 @t522 (not @t523)))) % 113.31/113.52 (step @p790 :rule chain_m_resolution :premises (@p789 @p17 @p620 @p787) :args (@t522 @t430 (@list @t56 @t156 @t523))) % 113.31/113.52 (step @p791 :rule refl :args (@t314)) % 113.31/113.52 (step @p792 :rule bool-double-not-elim :args (@t521)) % 113.31/113.52 (step @p793 :rule refl :args (@t163)) % 113.31/113.52 (step @p794 :rule nary_cong :premises (@p793 @p792 @p791) :args ((or @t163 (not @t522) @t314))) % 113.31/113.52 (assume-push @p984 @t162) % 113.31/113.52 (assume-push @p985 @t522) % 113.31/113.52 (assume-push @p986 @t522) % 113.31/113.52 (assume-push @p987 @t162) % 113.31/113.52 (step @p799 :rule false_intro :premises (@p985)) % 113.31/113.52 (step @p490 :rule refl :args (tptp.nil)) % 113.31/113.52 (step @p800 :rule cong :premises (@p490 @p984) :args (@t313)) % 113.31/113.52 (step @p801 :rule trans :premises (@p800 @p799)) % 113.31/113.52 (step @p802 :rule false_elim :premises (@p801)) % 113.31/113.52 (step-pop @p988 :rule scope :premises (@p802)) % 113.31/113.52 (step-pop @p989 :rule scope :premises (@p988)) % 113.31/113.52 (step @p803 :rule process_scope :premises (@p989) :args (@t314)) % 113.31/113.52 (step @p806 :rule and_intro :premises (@p985 @p984)) % 113.31/113.52 (step @p807 :rule modus_ponens :premises (@p806 @p803)) % 113.31/113.52 (step-pop @p990 :rule scope :premises (@p807)) % 113.31/113.52 (step-pop @p991 :rule scope :premises (@p990)) % 113.31/113.52 (step @p808 :rule process_scope :premises (@p991) :args (@t314)) % 113.31/113.52 (step @p811 :rule implies_elim :premises (@p808)) % 113.31/113.52 (step @p812 :rule cnf_and_neg :args (@t524)) % 113.31/113.52 (step @p813 :rule resolution :premises (@p812 @p811) :args (true @t524)) % 113.31/113.52 (step @p814 :rule eq_resolve :premises (@p813 @p794)) % 113.31/113.52 (step @p815 :rule reordering :premises (@p814) :args ((or @t163 @t314 @t521))) % 113.31/113.52 (step @p816 :rule chain_m_resolution :premises (@p815 @p521 @p790) :args (@t314 (@list false true) (@list @t162 @t521))) % 113.31/113.52 (step @p817 :rule refl :args (@t525)) % 113.31/113.52 (step @p818 :rule nary_cong :premises (@p817 @p748 @p425) :args ((or @t525 @t318 @t342))) % 113.31/113.52 (step @p819 :rule cnf_equiv_pos2 :args (@t507)) % 113.31/113.52 (step @p820 :rule eq_resolve :premises (@p819 @p818)) % 113.31/113.52 (step @p821 :rule reordering :premises (@p820) :args ((or @t318 @t313 @t525))) % 113.31/113.52 (step @p822 :rule chain_m_resolution :premises (@p821 @p816 @p761) :args (@t318 @t371 (@list @t313 @t507))) % 113.31/113.52 (step @p823 :rule refl :args (@t323)) % 113.31/113.52 (step @p824 :rule nary_cong :premises (@p823 @p509) :args ((or @t323 @t369))) % 113.31/113.52 (step @p825 :rule cnf_or_neg :args (@t323 0)) % 113.31/113.52 (step @p826 :rule eq_resolve :premises (@p825 @p824)) % 113.31/113.52 (step @p827 :rule reordering :premises (@p826) :args ((or @t169 @t323))) % 113.31/113.52 (step @p828 :rule chain_m_resolution :premises (@p827 @p508) :args (@t323 @t340 @t370)) % 113.31/113.52 (step @p829 :rule chain_m_resolution :premises (@p434 @p433 @p828) :args ((not @t322) @t371 (@list @t324 @t323))) % 113.31/113.52 (step @p830 :rule cnf_or_neg :args (@t322 1)) % 113.31/113.52 (step @p831 :rule chain_m_resolution :premises (@p830 @p829) :args ((not @t319) @t340 (@list @t322))) % 113.31/113.52 (step @p832 :rule cnf_and_neg :args (@t319)) % 113.31/113.52 (step @p833 :rule chain_m_resolution :premises (@p832 @p831 @p822) :args (@t526 @t371 (@list @t319 @t318))) % 113.31/113.52 (step @p834 :rule refl :args (@t529)) % 113.31/113.52 (step @p835 :rule refl :args (@t435)) % 113.31/113.52 (step @p836 :rule refl :args (@t530)) % 113.31/113.52 (step @p837 :rule bool-double-not-elim :args (@t317)) % 113.31/113.52 (step @p838 :rule nary_cong :premises (@p837 @p836 @p835 @p834) :args ((or (not @t526) @t530 @t435 @t529))) % 113.31/113.52 (assume-push @p992 @t526) % 113.31/113.52 (assume-push @p993 @t503) % 113.31/113.52 (assume-push @p994 @t434) % 113.31/113.52 (assume-push @p995 @t526) % 113.31/113.52 (assume-push @p996 @t503) % 113.31/113.52 (assume-push @p997 @t434) % 113.31/113.52 (step @p845 :rule false_intro :premises (@p992)) % 113.31/113.52 (step @p846 :rule refl :args (@t161)) % 113.31/113.52 (step @p847 :rule symm :premises (@p747)) % 113.31/113.52 (step @p490 :rule refl :args (tptp.nil)) % 113.31/113.52 (step @p848 :rule symm :premises (@p994)) % 113.31/113.52 (step @p849 :rule cong :premises (@p848 @p490) :args (@t527)) % 113.31/113.52 (step @p850 :rule trans :premises (@p849 @p847)) % 113.31/113.52 (step @p851 :rule cong :premises (@p850 @p846) :args (@t528)) % 113.31/113.52 (step @p852 :rule trans :premises (@p851 @p845)) % 113.31/113.52 (step @p853 :rule false_elim :premises (@p852)) % 113.31/113.52 (step-pop @p998 :rule scope :premises (@p853)) % 113.31/113.52 (step-pop @p999 :rule scope :premises (@p998)) % 113.31/113.52 (step-pop @p1000 :rule scope :premises (@p999)) % 113.31/113.52 (step @p854 :rule process_scope :premises (@p1000) :args (@t529)) % 113.31/113.52 (step @p858 :rule and_intro :premises (@p992 @p747 @p994)) % 113.31/113.52 (step @p859 :rule modus_ponens :premises (@p858 @p854)) % 113.31/113.52 (step-pop @p1001 :rule scope :premises (@p859)) % 113.31/113.52 (step-pop @p1002 :rule scope :premises (@p1001)) % 113.31/113.52 (step-pop @p1003 :rule scope :premises (@p1002)) % 113.31/113.52 (step @p860 :rule process_scope :premises (@p1003) :args (@t529)) % 113.31/113.52 (step @p864 :rule implies_elim :premises (@p860)) % 113.31/113.52 (step @p865 :rule cnf_and_neg :args (@t531)) % 113.31/113.52 (step @p866 :rule resolution :premises (@p865 @p864) :args (true @t531)) % 113.31/113.52 (step @p867 :rule eq_resolve :premises (@p866 @p838)) % 113.31/113.52 (step @p868 :rule chain_m_resolution :premises (@p867 @p833 @p747 @p736) :args (@t529 (@list true false false) (@list @t317 @t503 @t434))) % 113.31/113.52 (step @p869 :rule aci_norm :args ((= @t536 (or @t152 @t534 @t533)))) % 113.31/113.52 (step @p870 :rule cong :premises (@p869) :args (@t537)) % 113.31/113.52 (step @p871 :rule quant-merge-prenex :args ((= (forall @t9 @t539) @t537))) % 113.31/113.52 (step @p872 :rule alpha_equiv :args (@t540 (@list @t532) @t354)) % 113.31/113.52 (step @p873 :rule nary_cong :premises (@p154 @p872) :args (@t541)) % 113.31/113.52 (step @p874 :rule quant-miniscope-or :args ((= @t539 @t541))) % 113.31/113.52 (step @p875 :rule trans :premises (@p874 @p873)) % 113.31/113.52 (step @p876 :rule symm :premises (@p875)) % 113.31/113.52 (step @p877 :rule cong :premises (@p876) :args ((forall @t9 (or @t152 @t542)))) % 113.31/113.52 (step @p878 :rule trans :premises (@p877 @p871)) % 113.31/113.52 (step @p879 :rule trans :premises (@p878 @p870)) % 113.31/113.52 (step @p880 :rule bool-impl-elim :args (@t26 @t542)) % 113.31/113.52 (step @p881 :rule cong :premises (@p880) :args ((forall @t9 (=> @t26 @t542)))) % 113.31/113.52 (step @p882 :rule trans :premises (@p881 @p879)) % 113.31/113.52 (step @p883 :rule bool-impl-elim :args (@t6 @t52)) % 113.31/113.52 (step @p884 :rule cong :premises (@p883) :args (@t53)) % 113.31/113.52 (step @p885 :rule cong :premises (@p391 @p884) :args (@t54)) % 113.31/113.52 (step @p886 :rule cong :premises (@p885) :args (@t55)) % 113.31/113.52 (step @p887 :rule trans :premises (@p886 @p882)) % 113.31/113.52 (step @p888 :rule eq_resolve :premises (@p16 @p887)) % 113.31/113.52 (step @p889 :rule instantiate :premises (@p888) :args (@t395)) % 113.31/113.52 (step @p890 :rule cnf_or_pos :args (@t544)) % 113.31/113.52 (step @p891 :rule reordering :premises (@p890) :args ((or @t164 @t437 @t543 (not @t544)))) % 113.31/113.52 (step @p892 :rule chain_m_resolution :premises (@p891 @p620 @p650 @p889) :args (@t543 @t430 (@list @t156 @t436 @t544))) % 113.31/113.52 (step @p893 :rule bool-double-not-elim :args (@t438)) % 113.31/113.52 (step @p894 :rule nary_cong :premises (@p645 @p893) :args ((or @t440 (not @t439)))) % 113.31/113.52 (step @p895 :rule cnf_or_neg :args (@t440 0)) % 113.31/113.52 (step @p896 :rule eq_resolve :premises (@p895 @p894)) % 113.31/113.52 (step @p897 :rule reordering :premises (@p896) :args ((or @t438 @t440))) % 113.31/113.52 (step @p898 :rule chain_m_resolution :premises (@p897 @p643) :args (@t438 @t340 @t442)) % 113.31/113.52 (step @p899 :rule cnf_or_pos :args (@t548)) % 113.31/113.52 (step @p900 :rule reordering :premises (@p899) :args ((or @t360 @t328 @t439 @t547 @t546 @t528 (not @t548)))) % 113.31/113.52 (step @p901 :rule chain_m_resolution :premises (@p900 @p17 @p536 @p898 @p892 @p868 @p730) :args (@t546 (@list false false false false true false) (@list @t56 @t327 @t438 @t543 @t528 @t548))) % 113.31/113.52 (step @p902 :rule instantiate :premises (@p729) :args ((@list @t161 @t161 tptp.nil @t394))) % 113.31/113.52 (step @p903 :rule bool-impl-elim :args (@t26 @t85)) % 113.31/113.52 (step @p904 :rule cong :premises (@p903) :args (@t86)) % 113.31/113.52 (step @p905 :rule eq_resolve :premises (@p55 @p904)) % 113.31/113.52 (step @p906 :rule instantiate :premises (@p905) :args (@t374)) % 113.31/113.52 (step @p907 :rule cnf_or_pos :args (@t550)) % 113.31/113.52 (step @p908 :rule reordering :premises (@p907) :args ((or @t328 @t549 (not @t550)))) % 113.31/113.52 (step @p909 :rule chain_m_resolution :premises (@p908 @p536 @p906) :args (@t549 @t367 (@list @t327 @t550))) % 113.31/113.52 (step @p910 :rule cnf_or_pos :args (@t553)) % 113.31/113.52 (step @p911 :rule factoring :premises (@p910)) % 113.31/113.52 (step @p912 :rule reordering :premises (@p911) :args ((or @t360 @t328 @t552 @t437 @t551 (not @t553)))) % 113.31/113.52 (step @p913 :rule chain_m_resolution :premises (@p912 @p17 @p536 @p909 @p650 @p902) :args (@t551 (@list false false false false false) (@list @t56 @t327 @t549 @t436 @t553))) % 113.31/113.52 (step @p914 :rule refl :args (@t554)) % 113.31/113.52 (step @p915 :rule bool-double-not-elim :args (@t545)) % 113.31/113.52 (step @p916 :rule refl :args (@t555)) % 113.31/113.52 (step @p917 :rule refl :args (@t556)) % 113.31/113.52 (step @p918 :rule nary_cong :premises (@p793 @p917 @p916 @p915 @p914) :args ((or @t163 @t556 @t555 (not @t546) @t554))) % 113.31/113.52 (assume-push @p1004 @t551) % 113.31/113.52 (assume-push @p1005 @t376) % 113.31/113.52 (assume-push @p1006 @t162) % 113.31/113.52 (assume-push @p1007 @t444) % 113.31/113.52 (assume-push @p1008 @t546) % 113.31/113.52 (step @p924 :rule evaluate :args ((= false true))) % 113.31/113.52 (step @p925 :rule true_intro :premises (@p1004)) % 113.31/113.52 (step @p846 :rule refl :args (@t161)) % 113.31/113.52 (step @p926 :rule refl :args (@t394)) % 113.31/113.52 (step @p927 :rule cong :premises (@p539 @p926) :args ((tptp.app @t161 @t394))) % 113.31/113.52 (step @p928 :rule symm :premises (@p1006)) % 113.31/113.52 (step @p929 :rule cong :premises (@p928 @p926) :args (@t443)) % 113.31/113.52 (step @p930 :rule trans :premises (@p1007 @p929 @p927)) % 113.31/113.52 (step @p931 :rule cong :premises (@p930 @p846) :args (@t545)) % 113.31/113.52 (step @p932 :rule false_intro :premises (@p1008)) % 113.31/113.52 (step @p933 :rule symm :premises (@p932)) % 113.31/113.52 (step @p934 :rule trans :premises (@p933 @p931 @p925)) % 113.31/113.52 (step @p935 false :rule eq_resolve :premises (@p934 @p924)) % 113.31/113.52 (step-pop @p1009 :rule scope :premises (@p935)) % 113.31/113.52 (step-pop @p1010 :rule scope :premises (@p1009)) % 113.31/113.52 (step-pop @p1011 :rule scope :premises (@p1010)) % 113.31/113.52 (step-pop @p1012 :rule scope :premises (@p1011)) % 113.31/113.52 (step-pop @p1013 :rule scope :premises (@p1012)) % 113.31/113.52 (step @p936 :rule process_scope :premises (@p1013) :args (false)) % 113.31/113.52 (assume-push @p1014 @t162) % 113.31/113.52 (assume-push @p1015 @t376) % 113.31/113.52 (assume-push @p1016 @t444) % 113.31/113.52 (assume-push @p1017 @t546) % 113.31/113.52 (assume-push @p1018 @t551) % 113.31/113.52 (step @p947 :rule and_intro :premises (@p1018 @p539 @p1014 @p1016 @p1017)) % 113.31/113.52 (step-pop @p1019 :rule scope :premises (@p947)) % 113.31/113.52 (step-pop @p1020 :rule scope :premises (@p1019)) % 113.31/113.52 (step-pop @p1021 :rule scope :premises (@p1020)) % 113.31/113.52 (step-pop @p1022 :rule scope :premises (@p1021)) % 113.31/113.52 (step-pop @p1023 :rule scope :premises (@p1022)) % 113.31/113.52 (step @p948 :rule process_scope :premises (@p1023) :args (@t557)) % 113.31/113.52 (step @p954 :rule implies_elim :premises (@p948)) % 113.31/113.52 (step @p955 :rule resolution :premises (@p954 @p936) :args (true @t557)) % 113.31/113.52 (step @p956 :rule not_and :premises (@p955)) % 113.31/113.52 (step @p957 :rule eq_resolve :premises (@p956 @p918)) % 113.31/113.52 (step @p958 :rule reordering :premises (@p957) :args ((or @t163 @t556 @t545 @t555 @t554))) % 113.31/113.52 (step @p959 false :rule chain_m_resolution :premises (@p958 @p913 @p901 @p653 @p539 @p521) :args (false (@list false true false false false) (@list @t551 @t545 @t444 @t376 @t162))) % 113.31/113.52 ) % 113.31/113.52 % SZS output end Proof % 113.31/113.52 % cvc5 exiting %------------------------------------------------------------------------------