%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC084+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 : n028.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 08:57:59 AM UTC 2026 % Result : Theorem 113.24s 113.53s % Output : Proof 113.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : SWC084+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n028.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 19:13:50 EDT 2026 % 0.17/0.36 % CPUTime : % 0.28/0.54 %----Proving TF0_NAR, FOF, or CNF % 113.24/113.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 113.24/113.53 --- Run --no-e-matching --full-saturate-quant at 6... % 113.24/113.53 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 113.24/113.53 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 113.24/113.53 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 113.24/113.53 --- Run --trigger-sel=max --full-saturate-quant at 15... % 113.24/113.53 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 113.24/113.53 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 113.24/113.53 % SZS status Theorem % 113.24/113.53 % SZS output start Proof % 113.24/113.53 ( % 113.24/113.53 (declare-sort $$unsorted 0) % 113.24/113.53 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 113.24/113.53 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 113.24/113.53 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 113.24/113.53 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 113.24/113.53 (declare-const tptp.nil $$unsorted) % 113.24/113.53 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.ssList (-> $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 113.24/113.53 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 113.24/113.53 (define @t1 () (@var "V" $$unsorted)) % 113.24/113.53 (define @t2 () (@var "U" $$unsorted)) % 113.24/113.53 (define @t3 () (= @t2 @t1)) % 113.24/113.53 (define @t4 () (not @t3)) % 113.24/113.53 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 113.24/113.53 (define @t6 () (tptp.ssItem @t1)) % 113.24/113.53 (define @t7 () (@list @t1)) % 113.24/113.53 (define @t8 () (tptp.ssItem @t2)) % 113.24/113.53 (define @t9 () (@list @t2)) % 113.24/113.53 (define @t10 () (@var "X" $$unsorted)) % 113.24/113.53 (define @t11 () (tptp.cons @t1 @t10)) % 113.24/113.53 (define @t12 () (@var "W" $$unsorted)) % 113.24/113.53 (define @t13 () (tptp.app @t12 @t11)) % 113.24/113.53 (define @t14 () (tptp.ssList @t10)) % 113.24/113.53 (define @t15 () (and @t14 (= @t13 @t2))) % 113.24/113.53 (define @t16 () (@list @t10)) % 113.24/113.53 (define @t17 () (exists @t16 @t15)) % 113.24/113.53 (define @t18 () (tptp.ssList @t12)) % 113.24/113.53 (define @t19 () (and @t18 @t17)) % 113.24/113.53 (define @t20 () (@list @t12)) % 113.24/113.53 (define @t21 () (exists @t20 @t19)) % 113.24/113.53 (define @t22 () (tptp.memberP @t2 @t1)) % 113.24/113.53 (define @t23 () (= @t22 @t21)) % 113.24/113.53 (define @t24 () (=> @t6 @t23)) % 113.24/113.53 (define @t25 () (forall @t7 @t24)) % 113.24/113.53 (define @t26 () (tptp.ssList @t2)) % 113.24/113.53 (define @t27 () (=> @t26 @t25)) % 113.24/113.53 (define @t28 () (forall @t9 @t27)) % 113.24/113.53 (define @t29 () (tptp.cons @t1 tptp.nil)) % 113.24/113.53 (define @t30 () (tptp.app @t1 @t12)) % 113.24/113.53 (define @t31 () (tptp.frontsegP @t2 @t1)) % 113.24/113.53 (define @t32 () (tptp.ssList @t1)) % 113.24/113.53 (define @t33 () (tptp.app @t12 @t1)) % 113.24/113.53 (define @t34 () (tptp.rearsegP @t2 @t1)) % 113.24/113.53 (define @t35 () (tptp.segmentP @t2 @t1)) % 113.24/113.53 (define @t36 () (tptp.leq @t12 @t1)) % 113.24/113.53 (define @t37 () (tptp.leq @t1 @t12)) % 113.24/113.53 (define @t38 () (@var "Z" $$unsorted)) % 113.24/113.53 (define @t39 () (@var "Y" $$unsorted)) % 113.24/113.53 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 113.24/113.53 (define @t41 () (tptp.ssList @t38)) % 113.24/113.53 (define @t42 () (@list @t38)) % 113.24/113.53 (define @t43 () (tptp.ssList @t39)) % 113.24/113.53 (define @t44 () (@list @t39)) % 113.24/113.53 (define @t45 () (tptp.ssItem @t12)) % 113.24/113.53 (define @t46 () (tptp.lt @t1 @t12)) % 113.24/113.53 (define @t47 () (= @t1 @t12)) % 113.24/113.53 (define @t48 () (forall @t7 (=> @t32 @t5))) % 113.24/113.53 (define @t49 () (=> @t26 @t48)) % 113.24/113.53 (define @t50 () (forall @t9 @t49)) % 113.24/113.53 (define @t51 () (tptp.cons @t1 @t2)) % 113.24/113.53 (define @t52 () (tptp.ssList @t51)) % 113.24/113.53 (define @t53 () (forall @t7 (=> @t6 @t52))) % 113.24/113.53 (define @t54 () (=> @t26 @t53)) % 113.24/113.53 (define @t55 () (forall @t9 @t54)) % 113.24/113.53 (define @t56 () (tptp.ssList tptp.nil)) % 113.24/113.53 (define @t57 () (not (= @t51 @t2))) % 113.24/113.53 (define @t58 () (=> @t6 @t57)) % 113.24/113.53 (define @t59 () (forall @t7 @t58)) % 113.24/113.53 (define @t60 () (=> @t26 @t59)) % 113.24/113.53 (define @t61 () (forall @t9 @t60)) % 113.24/113.53 (define @t62 () (= @t1 @t2)) % 113.24/113.53 (define @t63 () (tptp.cons @t12 @t1)) % 113.24/113.53 (define @t64 () (= tptp.nil @t2)) % 113.24/113.53 (define @t65 () (tptp.hd @t2)) % 113.24/113.53 (define @t66 () (not @t64)) % 113.24/113.53 (define @t67 () (tptp.tl @t2)) % 113.24/113.53 (define @t68 () (tptp.app @t2 @t1)) % 113.24/113.53 (define @t69 () (tptp.app @t1 @t2)) % 113.24/113.53 (define @t70 () (tptp.app tptp.nil @t2)) % 113.24/113.53 (define @t71 () (=> @t26 (= @t70 @t2))) % 113.24/113.53 (define @t72 () (forall @t9 @t71)) % 113.24/113.53 (define @t73 () (tptp.leq @t1 @t2)) % 113.24/113.53 (define @t74 () (tptp.leq @t2 @t1)) % 113.24/113.53 (define @t75 () (tptp.geq @t2 @t1)) % 113.24/113.53 (define @t76 () (tptp.lt @t1 @t2)) % 113.24/113.53 (define @t77 () (tptp.lt @t2 @t1)) % 113.24/113.53 (define @t78 () (tptp.lt @t2 @t12)) % 113.24/113.53 (define @t79 () (tptp.gt @t2 @t1)) % 113.24/113.53 (define @t80 () (tptp.memberP @t12 @t2)) % 113.24/113.53 (define @t81 () (tptp.app @t12 @t2)) % 113.24/113.53 (define @t82 () (tptp.segmentP @t2 @t2)) % 113.24/113.53 (define @t83 () (forall @t9 (=> @t26 @t82))) % 113.24/113.53 (define @t84 () (tptp.segmentP (tptp.app @t81 @t10) @t1)) % 113.24/113.53 (define @t85 () (=> @t35 @t84)) % 113.24/113.53 (define @t86 () (forall @t16 (=> @t14 @t85))) % 113.24/113.53 (define @t87 () (=> @t18 @t86)) % 113.24/113.53 (define @t88 () (forall @t20 @t87)) % 113.24/113.53 (define @t89 () (=> @t32 @t88)) % 113.24/113.53 (define @t90 () (forall @t7 @t89)) % 113.24/113.53 (define @t91 () (=> @t26 @t90)) % 113.24/113.53 (define @t92 () (forall @t9 @t91)) % 113.24/113.53 (define @t93 () (tptp.cons @t2 tptp.nil)) % 113.24/113.53 (define @t94 () (tptp.hd @t1)) % 113.24/113.53 (define @t95 () (= tptp.nil @t1)) % 113.24/113.53 (define @t96 () (not @t95)) % 113.24/113.53 (define @t97 () (tptp.cons @t2 @t1)) % 113.24/113.53 (define @t98 () (= @t12 @t2)) % 113.24/113.53 (define @t99 () (= @t51 (tptp.app @t29 @t2))) % 113.24/113.53 (define @t100 () (forall @t7 (=> @t6 @t99))) % 113.24/113.53 (define @t101 () (=> @t26 @t100)) % 113.24/113.53 (define @t102 () (forall @t9 @t101)) % 113.24/113.53 (define @t103 () (tptp.app @t2 tptp.nil)) % 113.24/113.53 (define @t104 () (=> @t26 (= @t103 @t2))) % 113.24/113.53 (define @t105 () (forall @t9 @t104)) % 113.24/113.53 (define @t106 () (not (= tptp.nil @t12))) % 113.24/113.53 (define @t107 () (not (= tptp.nil @t10))) % 113.24/113.53 (define @t108 () (or @t107 @t106)) % 113.24/113.53 (define @t109 () (@var "X1" $$unsorted)) % 113.24/113.53 (define @t110 () (tptp.leq @t38 @t109)) % 113.24/113.53 (define @t111 () (tptp.memberP @t10 @t109)) % 113.24/113.53 (define @t112 () (= @t38 @t109)) % 113.24/113.53 (define @t113 () (not @t112)) % 113.24/113.53 (define @t114 () (tptp.ssItem @t109)) % 113.24/113.53 (define @t115 () (and @t114 @t113 @t111 @t110)) % 113.24/113.53 (define @t116 () (@list @t109)) % 113.24/113.53 (define @t117 () (exists @t116 @t115)) % 113.24/113.53 (define @t118 () (not (tptp.memberP @t10 @t38))) % 113.24/113.53 (define @t119 () (tptp.cons @t38 tptp.nil)) % 113.24/113.53 (define @t120 () (not (= @t119 @t12))) % 113.24/113.53 (define @t121 () (or @t120 @t118 @t117)) % 113.24/113.53 (define @t122 () (tptp.ssItem @t38)) % 113.24/113.53 (define @t123 () (=> @t122 @t121)) % 113.24/113.53 (define @t124 () (forall @t42 @t123)) % 113.24/113.53 (define @t125 () (and @t124 @t108)) % 113.24/113.53 (define @t126 () (tptp.segmentP @t2 @t39)) % 113.24/113.53 (define @t127 () (tptp.segmentP @t1 @t39)) % 113.24/113.53 (define @t128 () (tptp.neq @t39 tptp.nil)) % 113.24/113.53 (define @t129 () (and @t43 @t128 @t127 @t126)) % 113.24/113.53 (define @t130 () (exists @t44 @t129)) % 113.24/113.53 (define @t131 () (not (tptp.neq @t1 tptp.nil))) % 113.24/113.53 (define @t132 () (not (= @t2 @t12))) % 113.24/113.53 (define @t133 () (not (= @t1 @t10))) % 113.24/113.53 (define @t134 () (or @t133 @t132 @t131 @t130 @t125)) % 113.24/113.53 (define @t135 () (=> @t14 @t134)) % 113.24/113.53 (define @t136 () (forall @t16 @t135)) % 113.24/113.53 (define @t137 () (=> @t18 @t136)) % 113.24/113.53 (define @t138 () (forall @t20 @t137)) % 113.24/113.53 (define @t139 () (=> @t32 @t138)) % 113.24/113.53 (define @t140 () (forall @t7 @t139)) % 113.24/113.53 (define @t141 () (=> @t26 @t140)) % 113.24/113.53 (define @t142 () (forall @t9 @t141)) % 113.24/113.53 (define @t143 () (not @t142)) % 113.24/113.53 (define @t144 () (not (= @t2 tptp.nil))) % 113.24/113.53 (define @t145 () (@var "BOUND_VARIABLE_11148" $$unsorted)) % 113.24/113.53 (define @t146 () (not (= @t145 tptp.nil))) % 113.24/113.53 (define @t147 () (or @t146 @t144)) % 113.24/113.53 (define @t148 () (@var "BOUND_VARIABLE_11150" $$unsorted)) % 113.24/113.53 (define @t149 () (not @t114)) % 113.24/113.53 (define @t150 () (or (not (tptp.ssItem @t148)) (not (= @t2 (tptp.cons @t148 tptp.nil))) (not (tptp.memberP @t145 @t148)) (not (forall @t116 (or @t149 (= @t109 @t148) (not (tptp.memberP @t145 @t109)) (not (tptp.leq @t148 @t109))))))) % 113.24/113.53 (define @t151 () (and @t150 @t147)) % 113.24/113.53 (define @t152 () (not @t126)) % 113.24/113.53 (define @t153 () (not @t128)) % 113.24/113.53 (define @t154 () (not @t43)) % 113.24/113.53 (define @t155 () (not (forall @t44 (or @t154 @t153 (not (tptp.segmentP @t145 @t39)) @t152)))) % 113.24/113.53 (define @t156 () (not (tptp.neq @t145 tptp.nil))) % 113.24/113.53 (define @t157 () (not (tptp.ssList @t145))) % 113.24/113.53 (define @t158 () (not @t26)) % 113.24/113.53 (define @t159 () (or @t158 @t157 @t156 @t155 @t151)) % 113.24/113.53 (define @t160 () (or @t157 @t156 @t155 @t151)) % 113.24/113.53 (define @t161 () (or @t158 @t160)) % 113.24/113.53 (define @t162 () (@list @t2 @t145 @t148)) % 113.24/113.53 (define @t163 () (forall @t162 @t161)) % 113.24/113.53 (define @t164 () (@list @t145 @t148)) % 113.24/113.53 (define @t165 () (forall @t164 @t161)) % 113.24/113.53 (define @t166 () (forall @t164 @t160)) % 113.24/113.53 (define @t167 () (@var "BOUND_VARIABLE_11124" $$unsorted)) % 113.24/113.53 (define @t168 () (or @t158 @t166)) % 113.24/113.53 (define @t169 () (not (= @t1 tptp.nil))) % 113.24/113.53 (define @t170 () (or @t169 @t144)) % 113.24/113.53 (define @t171 () (not (tptp.memberP @t1 @t109))) % 113.24/113.53 (define @t172 () (or (not (tptp.ssItem @t167)) (not (= @t2 (tptp.cons @t167 tptp.nil))) (not (tptp.memberP @t1 @t167)) (not (forall @t116 (or @t149 (= @t109 @t167) @t171 (not (tptp.leq @t167 @t109))))))) % 113.24/113.53 (define @t173 () (and @t172 @t170)) % 113.24/113.53 (define @t174 () (not @t127)) % 113.24/113.53 (define @t175 () (or @t154 @t153 @t174 @t152)) % 113.24/113.53 (define @t176 () (not (forall @t44 @t175))) % 113.24/113.53 (define @t177 () (not @t32)) % 113.24/113.53 (define @t178 () (or @t177 @t131 @t176 @t173)) % 113.24/113.53 (define @t179 () (forall (@list @t1 @t167) @t178)) % 113.24/113.53 (define @t180 () (or @t158 @t179)) % 113.24/113.53 (define @t181 () (@list @t167)) % 113.24/113.53 (define @t182 () (forall @t181 @t178)) % 113.24/113.53 (define @t183 () (forall @t181 @t170)) % 113.24/113.53 (define @t184 () (forall @t181 @t172)) % 113.24/113.53 (define @t185 () (@var "BOUND_VARIABLE_11093" $$unsorted)) % 113.24/113.53 (define @t186 () (@list @t185)) % 113.24/113.53 (define @t187 () (and @t184 @t183)) % 113.24/113.53 (define @t188 () (forall @t181 @t173)) % 113.24/113.53 (define @t189 () (or @t177 @t131 @t176 @t188)) % 113.24/113.53 (define @t190 () (and (forall (@list @t185) (or (not (tptp.ssItem @t185)) (not (= @t2 (tptp.cons @t185 tptp.nil))) (not (tptp.memberP @t1 @t185)) (not (forall @t116 (or @t149 (= @t109 @t185) @t171 (not (tptp.leq @t185 @t109))))))) @t170)) % 113.24/113.53 (define @t191 () (or @t177 @t131 @t176 @t190)) % 113.24/113.53 (define @t192 () (forall @t7 @t191)) % 113.24/113.53 (define @t193 () (or @t158 @t192)) % 113.24/113.53 (define @t194 () (or @t158 @t191)) % 113.24/113.53 (define @t195 () (or @t177 @t131 @t176 @t158 @t190)) % 113.24/113.53 (define @t196 () (or @t131 @t176 @t177 @t158 @t190)) % 113.24/113.53 (define @t197 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 113.24/113.53 (define @t198 () (@list @t197)) % 113.24/113.53 (define @t199 () (forall @t198 @t170)) % 113.24/113.53 (define @t200 () (not (forall @t116 (or @t149 (= @t109 @t197) @t171 (not (tptp.leq @t197 @t109)))))) % 113.24/113.53 (define @t201 () (not (tptp.memberP @t1 @t197))) % 113.24/113.53 (define @t202 () (tptp.cons @t197 tptp.nil)) % 113.24/113.53 (define @t203 () (not (tptp.ssItem @t197))) % 113.24/113.53 (define @t204 () (or @t203 (not (= @t2 @t202)) @t201 @t200)) % 113.24/113.53 (define @t205 () (forall @t198 @t204)) % 113.24/113.53 (define @t206 () (@list @t197)) % 113.24/113.53 (define @t207 () (and @t205 @t199)) % 113.24/113.53 (define @t208 () (and @t204 @t170)) % 113.24/113.53 (define @t209 () (forall @t198 @t208)) % 113.24/113.53 (define @t210 () (or @t158 @t209)) % 113.24/113.53 (define @t211 () (or @t158 @t208)) % 113.24/113.53 (define @t212 () (not (= @t2 @t2))) % 113.24/113.53 (define @t213 () (or @t158 @t212 @t208)) % 113.24/113.53 (define @t214 () (not (= @t12 tptp.nil))) % 113.24/113.53 (define @t215 () (or @t169 @t214)) % 113.24/113.53 (define @t216 () (or @t203 (not (= @t12 @t202)) @t201 @t200)) % 113.24/113.53 (define @t217 () (and @t216 @t215)) % 113.24/113.53 (define @t218 () (not @t18)) % 113.24/113.53 (define @t219 () (or @t132 @t218 @t132 @t217)) % 113.24/113.53 (define @t220 () (or @t218 @t132 @t217)) % 113.24/113.53 (define @t221 () (forall @t20 @t220)) % 113.24/113.53 (define @t222 () (forall @t198 @t221)) % 113.24/113.53 (define @t223 () (forall (@list @t197 @t12) @t220)) % 113.24/113.53 (define @t224 () (forall (@list @t12 @t197) @t220)) % 113.24/113.53 (define @t225 () (forall @t198 @t220)) % 113.24/113.53 (define @t226 () (forall @t198 @t215)) % 113.24/113.53 (define @t227 () (forall @t198 @t216)) % 113.24/113.53 (define @t228 () (@var "BOUND_VARIABLE_11027" $$unsorted)) % 113.24/113.53 (define @t229 () (@list @t228)) % 113.24/113.53 (define @t230 () (and @t227 @t226)) % 113.24/113.53 (define @t231 () (forall @t198 @t217)) % 113.24/113.53 (define @t232 () (or @t218 @t132 @t231)) % 113.24/113.53 (define @t233 () (and (forall (@list @t228) (or (not (tptp.ssItem @t228)) (not (= @t12 (tptp.cons @t228 tptp.nil))) (not (tptp.memberP @t1 @t228)) (not (forall @t116 (or @t149 (= @t109 @t228) @t171 (not (tptp.leq @t228 @t109))))))) @t215)) % 113.24/113.53 (define @t234 () (or @t218 @t132 @t233)) % 113.24/113.53 (define @t235 () (forall @t20 @t234)) % 113.24/113.53 (define @t236 () (or @t131 @t176 @t177 @t235)) % 113.24/113.53 (define @t237 () (or @t131 @t176 @t177 @t234)) % 113.24/113.53 (define @t238 () (or @t218 @t132 @t131 @t176 @t177 @t233)) % 113.24/113.53 (define @t239 () (or @t132 @t131 @t176 @t177 @t233)) % 113.24/113.53 (define @t240 () (@var "BOUND_VARIABLE_10981" $$unsorted)) % 113.24/113.53 (define @t241 () (@list @t240)) % 113.24/113.53 (define @t242 () (forall @t241 @t215)) % 113.24/113.53 (define @t243 () (not (tptp.leq @t240 @t109))) % 113.24/113.53 (define @t244 () (= @t109 @t240)) % 113.24/113.53 (define @t245 () (not (= @t12 (tptp.cons @t240 tptp.nil)))) % 113.24/113.53 (define @t246 () (not (tptp.ssItem @t240))) % 113.24/113.53 (define @t247 () (or @t246 @t245 (not (tptp.memberP @t1 @t240)) (not (forall @t116 (or @t149 @t244 @t171 @t243))))) % 113.24/113.53 (define @t248 () (forall @t241 @t247)) % 113.24/113.53 (define @t249 () (@list @t240)) % 113.24/113.53 (define @t250 () (and @t248 @t242)) % 113.24/113.53 (define @t251 () (and @t247 @t215)) % 113.24/113.53 (define @t252 () (forall @t241 @t251)) % 113.24/113.53 (define @t253 () (or @t177 @t252)) % 113.24/113.53 (define @t254 () (or @t177 @t251)) % 113.24/113.53 (define @t255 () (not (= @t1 @t1))) % 113.24/113.53 (define @t256 () (or @t177 @t255 @t251)) % 113.24/113.53 (define @t257 () (or (not (= @t10 tptp.nil)) @t214)) % 113.24/113.53 (define @t258 () (not @t111)) % 113.24/113.53 (define @t259 () (not (tptp.memberP @t10 @t240))) % 113.24/113.53 (define @t260 () (and (or @t246 @t245 @t259 (not (forall @t116 (or @t149 @t244 @t258 @t243)))) @t257)) % 113.24/113.53 (define @t261 () (not @t14)) % 113.24/113.53 (define @t262 () (or @t133 @t261 @t133 @t260)) % 113.24/113.53 (define @t263 () (or @t261 @t133 @t260)) % 113.24/113.53 (define @t264 () (forall @t16 @t263)) % 113.24/113.53 (define @t265 () (forall @t241 @t264)) % 113.24/113.53 (define @t266 () (forall (@list @t240 @t10) @t263)) % 113.24/113.53 (define @t267 () (@list @t10 @t240)) % 113.24/113.53 (define @t268 () (or @t149 (= @t240 @t109) @t258 @t243)) % 113.24/113.53 (define @t269 () (forall @t116 @t268)) % 113.24/113.53 (define @t270 () (not @t269)) % 113.24/113.53 (define @t271 () (or @t246 @t245 @t259 @t270)) % 113.24/113.53 (define @t272 () (and @t271 @t257)) % 113.24/113.53 (define @t273 () (or @t261 @t133 @t272)) % 113.24/113.53 (define @t274 () (forall @t267 @t273)) % 113.24/113.53 (define @t275 () (forall @t241 @t273)) % 113.24/113.53 (define @t276 () (forall @t241 @t257)) % 113.24/113.53 (define @t277 () (forall @t241 @t271)) % 113.24/113.53 (define @t278 () (and @t277 @t276)) % 113.24/113.53 (define @t279 () (forall @t241 @t272)) % 113.24/113.53 (define @t280 () (or @t261 @t133 @t279)) % 113.24/113.53 (define @t281 () (not @t110)) % 113.24/113.53 (define @t282 () (not (forall @t116 (or @t149 @t112 @t258 @t281)))) % 113.24/113.53 (define @t283 () (not (= @t12 @t119))) % 113.24/113.53 (define @t284 () (not @t122)) % 113.24/113.53 (define @t285 () (or @t284 @t283 @t118 @t282)) % 113.24/113.53 (define @t286 () (and (forall @t42 @t285) @t257)) % 113.24/113.53 (define @t287 () (or @t261 @t133 @t286)) % 113.24/113.53 (define @t288 () (forall @t16 @t287)) % 113.24/113.53 (define @t289 () (or @t132 @t131 @t176 @t288)) % 113.24/113.53 (define @t290 () (or @t132 @t131 @t176 @t287)) % 113.24/113.53 (define @t291 () (or @t261 @t133 @t132 @t131 @t176 @t286)) % 113.24/113.53 (define @t292 () (or @t133 @t132 @t131 @t176 @t286)) % 113.24/113.53 (define @t293 () (or @t283 @t118 @t282)) % 113.24/113.53 (define @t294 () (not @t113)) % 113.24/113.53 (define @t295 () (or @t149 @t294 @t258 @t281)) % 113.24/113.53 (define @t296 () (forall @t116 (not @t115))) % 113.24/113.53 (define @t297 () (not @t296)) % 113.24/113.53 (define @t298 () (forall @t44 (not @t129))) % 113.24/113.53 (define @t299 () (not @t298)) % 113.24/113.53 (define @t300 () (forall @t162 (or @t158 @t157 @t156 @t155 (and @t150 (or (not (= tptp.nil @t145)) @t144))))) % 113.24/113.53 (define @t301 () (@quantifiers_skolemize @t300 0)) % 113.24/113.53 (define @t302 () (= tptp.nil @t301)) % 113.24/113.53 (define @t303 () (not @t302)) % 113.24/113.53 (define @t304 () (@quantifiers_skolemize @t300 1)) % 113.24/113.53 (define @t305 () (= tptp.nil @t304)) % 113.24/113.53 (define @t306 () (not @t305)) % 113.24/113.53 (define @t307 () (or @t306 @t303)) % 113.24/113.53 (define @t308 () (@quantifiers_skolemize @t300 2)) % 113.24/113.53 (define @t309 () (tptp.memberP @t304 @t308)) % 113.24/113.53 (define @t310 () (not @t309)) % 113.24/113.53 (define @t311 () (tptp.cons @t308 tptp.nil)) % 113.24/113.53 (define @t312 () (= @t301 @t311)) % 113.24/113.53 (define @t313 () (not @t312)) % 113.24/113.53 (define @t314 () (tptp.ssItem @t308)) % 113.24/113.53 (define @t315 () (not @t314)) % 113.24/113.53 (define @t316 () (or @t315 @t313 @t310 (not (forall @t116 (or @t149 (= @t109 @t308) (not (tptp.memberP @t304 @t109)) (not (tptp.leq @t308 @t109))))))) % 113.24/113.53 (define @t317 () (and @t316 @t307)) % 113.24/113.53 (define @t318 () (forall @t44 (or @t154 @t153 (not (tptp.segmentP @t304 @t39)) (not (tptp.segmentP @t301 @t39))))) % 113.24/113.53 (define @t319 () (not @t318)) % 113.24/113.53 (define @t320 () (tptp.neq @t304 tptp.nil)) % 113.24/113.53 (define @t321 () (not @t320)) % 113.24/113.53 (define @t322 () (tptp.ssList @t304)) % 113.24/113.53 (define @t323 () (not @t322)) % 113.24/113.53 (define @t324 () (tptp.ssList @t301)) % 113.24/113.53 (define @t325 () (not @t324)) % 113.24/113.53 (define @t326 () (or @t325 @t323 @t321 @t319 @t317)) % 113.24/113.53 (define @t327 () (not @t326)) % 113.24/113.53 (define @t328 () (not @t300)) % 113.24/113.53 (define @t329 () (not (= @t301 tptp.nil))) % 113.24/113.53 (define @t330 () (or @t306 @t329)) % 113.24/113.53 (define @t331 () (and @t316 @t330)) % 113.24/113.53 (define @t332 () (or @t325 @t323 @t321 @t319 @t331)) % 113.24/113.53 (define @t333 () (not @t332)) % 113.24/113.53 (define @t334 () (@list true)) % 113.24/113.53 (define @t335 () (@list @t326)) % 113.24/113.53 (define @t336 () (@list @t301)) % 113.24/113.53 (define @t337 () (@var "BOUND_VARIABLE_10217" $$unsorted)) % 113.24/113.53 (define @t338 () (@var "BOUND_VARIABLE_10221" $$unsorted)) % 113.24/113.53 (define @t339 () (@var "BOUND_VARIABLE_10219" $$unsorted)) % 113.24/113.53 (define @t340 () (tptp.segmentP (tptp.app (tptp.app @t339 @t2) @t338) @t337)) % 113.24/113.53 (define @t341 () (not (tptp.ssList @t338))) % 113.24/113.53 (define @t342 () (not (tptp.ssList @t339))) % 113.24/113.53 (define @t343 () (not (tptp.segmentP @t2 @t337))) % 113.24/113.53 (define @t344 () (not (tptp.ssList @t337))) % 113.24/113.53 (define @t345 () (or @t344 @t343 @t342 @t341 @t340)) % 113.24/113.53 (define @t346 () (or @t158 @t345)) % 113.24/113.53 (define @t347 () (forall (@list @t2 @t337 @t339 @t338) @t346)) % 113.24/113.53 (define @t348 () (@list @t337 @t339 @t338)) % 113.24/113.53 (define @t349 () (forall @t348 @t346)) % 113.24/113.53 (define @t350 () (forall @t348 @t345)) % 113.24/113.53 (define @t351 () (@var "BOUND_VARIABLE_10198" $$unsorted)) % 113.24/113.53 (define @t352 () (@var "BOUND_VARIABLE_10196" $$unsorted)) % 113.24/113.53 (define @t353 () (or @t158 @t350)) % 113.24/113.53 (define @t354 () (tptp.segmentP (tptp.app (tptp.app @t352 @t2) @t351) @t1)) % 113.24/113.53 (define @t355 () (not (tptp.ssList @t351))) % 113.24/113.53 (define @t356 () (not (tptp.ssList @t352))) % 113.24/113.53 (define @t357 () (not @t35)) % 113.24/113.53 (define @t358 () (or @t177 @t357 @t356 @t355 @t354)) % 113.24/113.53 (define @t359 () (@list @t1 @t352 @t351)) % 113.24/113.53 (define @t360 () (forall @t359 @t358)) % 113.24/113.53 (define @t361 () (or @t356 @t355 @t354)) % 113.24/113.53 (define @t362 () (or @t177 @t357 @t361)) % 113.24/113.53 (define @t363 () (forall @t359 @t362)) % 113.24/113.53 (define @t364 () (@list @t352 @t351)) % 113.24/113.53 (define @t365 () (forall @t364 @t362)) % 113.24/113.53 (define @t366 () (forall @t364 @t361)) % 113.24/113.53 (define @t367 () (@var "BOUND_VARIABLE_10179" $$unsorted)) % 113.24/113.53 (define @t368 () (or @t177 @t357 @t366)) % 113.24/113.53 (define @t369 () (tptp.segmentP (tptp.app @t81 @t367) @t1)) % 113.24/113.53 (define @t370 () (not (tptp.ssList @t367))) % 113.24/113.53 (define @t371 () (or @t218 @t370 @t369)) % 113.24/113.53 (define @t372 () (@list @t12 @t367)) % 113.24/113.53 (define @t373 () (forall @t372 @t371)) % 113.24/113.53 (define @t374 () (or @t177 @t357 @t373)) % 113.24/113.53 (define @t375 () (or @t357 @t373)) % 113.24/113.53 (define @t376 () (or @t370 @t369)) % 113.24/113.53 (define @t377 () (or @t218 @t376)) % 113.24/113.53 (define @t378 () (forall @t372 @t377)) % 113.24/113.53 (define @t379 () (@list @t367)) % 113.24/113.53 (define @t380 () (forall @t379 @t377)) % 113.24/113.53 (define @t381 () (forall @t379 @t376)) % 113.24/113.53 (define @t382 () (@list @t10)) % 113.24/113.53 (define @t383 () (or @t218 @t381)) % 113.24/113.53 (define @t384 () (or @t261 @t84)) % 113.24/113.53 (define @t385 () (forall @t16 @t384)) % 113.24/113.53 (define @t386 () (or @t218 @t385)) % 113.24/113.53 (define @t387 () (forall @t20 @t386)) % 113.24/113.53 (define @t388 () (or @t357 @t387)) % 113.24/113.53 (define @t389 () (or @t357 @t386)) % 113.24/113.53 (define @t390 () (or @t218 @t357 @t385)) % 113.24/113.53 (define @t391 () (or @t357 @t385)) % 113.24/113.53 (define @t392 () (or @t357 @t384)) % 113.24/113.53 (define @t393 () (or @t261 @t357 @t84)) % 113.24/113.53 (define @t394 () (@var "BOUND_VARIABLE_8245" $$unsorted)) % 113.24/113.53 (define @t395 () (not (tptp.ssList @t394))) % 113.24/113.53 (define @t396 () (@list @t12 @t394)) % 113.24/113.53 (define @t397 () (forall @t396 (or @t218 @t395 (not (= @t304 (tptp.app @t12 (tptp.cons @t308 @t394))))))) % 113.24/113.53 (define @t398 () (@quantifiers_skolemize @t397 0)) % 113.24/113.53 (define @t399 () (@quantifiers_skolemize @t397 1)) % 113.24/113.53 (define @t400 () (tptp.cons @t308 @t399)) % 113.24/113.53 (define @t401 () (@var "BOUND_VARIABLE_8270" $$unsorted)) % 113.24/113.53 (define @t402 () (= (tptp.memberP @t2 @t401) (not (forall @t396 (or @t218 @t395 (not (= @t2 (tptp.app @t12 (tptp.cons @t401 @t394))))))))) % 113.24/113.53 (define @t403 () (not (tptp.ssItem @t401))) % 113.24/113.53 (define @t404 () (or @t403 @t402)) % 113.24/113.53 (define @t405 () (or @t158 @t404)) % 113.24/113.53 (define @t406 () (forall (@list @t2 @t401) @t405)) % 113.24/113.53 (define @t407 () (@list @t401)) % 113.24/113.53 (define @t408 () (forall @t407 @t405)) % 113.24/113.53 (define @t409 () (forall @t407 @t404)) % 113.24/113.53 (define @t410 () (@list @t1)) % 113.24/113.53 (define @t411 () (or @t158 @t409)) % 113.24/113.53 (define @t412 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t394))))) % 113.24/113.53 (define @t413 () (or @t218 @t395 @t412)) % 113.24/113.53 (define @t414 () (= @t22 (not (forall @t396 @t413)))) % 113.24/113.53 (define @t415 () (not @t6)) % 113.24/113.53 (define @t416 () (forall @t7 (or @t415 @t414))) % 113.24/113.53 (define @t417 () (or @t395 @t412)) % 113.24/113.53 (define @t418 () (or @t218 @t417)) % 113.24/113.53 (define @t419 () (forall @t396 @t418)) % 113.24/113.53 (define @t420 () (@list @t394)) % 113.24/113.53 (define @t421 () (forall @t420 @t418)) % 113.24/113.53 (define @t422 () (forall @t420 @t417)) % 113.24/113.53 (define @t423 () (or @t218 @t422)) % 113.24/113.53 (define @t424 () (= @t2 @t13)) % 113.24/113.53 (define @t425 () (forall @t16 (or @t261 (not @t424)))) % 113.24/113.53 (define @t426 () (not @t425)) % 113.24/113.53 (define @t427 () (and @t18 @t426)) % 113.24/113.53 (define @t428 () (forall @t20 (not @t427))) % 113.24/113.53 (define @t429 () (not @t428)) % 113.24/113.53 (define @t430 () (and @t14 @t424)) % 113.24/113.53 (define @t431 () (forall @t16 (not @t430))) % 113.24/113.53 (define @t432 () (not @t431)) % 113.24/113.53 (define @t433 () (@var "BOUND_VARIABLE_9118" $$unsorted)) % 113.24/113.53 (define @t434 () (= (tptp.neq @t2 @t433) (not (= @t2 @t433)))) % 113.24/113.53 (define @t435 () (not (tptp.ssList @t433))) % 113.24/113.53 (define @t436 () (or @t158 @t435 @t434)) % 113.24/113.53 (define @t437 () (or @t435 @t434)) % 113.24/113.53 (define @t438 () (or @t158 @t437)) % 113.24/113.53 (define @t439 () (@list @t2 @t433)) % 113.24/113.53 (define @t440 () (forall @t439 @t438)) % 113.24/113.53 (define @t441 () (@list @t433)) % 113.24/113.53 (define @t442 () (forall @t441 @t438)) % 113.24/113.53 (define @t443 () (forall @t441 @t437)) % 113.24/113.53 (define @t444 () (or @t158 @t443)) % 113.24/113.53 (define @t445 () (forall @t7 (or @t177 @t5))) % 113.24/113.53 (define @t446 () (not (= @t304 tptp.nil))) % 113.24/113.53 (define @t447 () (= @t320 @t446)) % 113.24/113.53 (define @t448 () (not @t56)) % 113.24/113.53 (define @t449 () (or @t323 @t448 @t447)) % 113.24/113.53 (define @t450 () (forall @t439 @t436)) % 113.24/113.53 (define @t451 () (= @t320 @t306)) % 113.24/113.53 (define @t452 () (or @t323 @t448 @t451)) % 113.24/113.53 (define @t453 () (@list false)) % 113.24/113.53 (define @t454 () (@list @t450)) % 113.24/113.53 (define @t455 () (@list false false false)) % 113.24/113.53 (define @t456 () (@list false false)) % 113.24/113.53 (define @t457 () (@list @t316)) % 113.24/113.53 (define @t458 () (not @t397)) % 113.24/113.53 (define @t459 () (= @t309 @t458)) % 113.24/113.53 (define @t460 () (or @t323 @t315 @t459)) % 113.24/113.53 (define @t461 () (tptp.ssList @t399)) % 113.24/113.53 (define @t462 () (tptp.app @t398 @t400)) % 113.24/113.53 (define @t463 () (= @t304 @t462)) % 113.24/113.53 (define @t464 () (not @t463)) % 113.24/113.53 (define @t465 () (not @t461)) % 113.24/113.53 (define @t466 () (tptp.ssList @t398)) % 113.24/113.53 (define @t467 () (not @t466)) % 113.24/113.53 (define @t468 () (or @t467 @t465 @t464)) % 113.24/113.53 (define @t469 () (@list @t468)) % 113.24/113.53 (define @t470 () (tptp.segmentP @t301 @t301)) % 113.24/113.53 (define @t471 () (or @t325 @t470)) % 113.24/113.53 (define @t472 () (tptp.app tptp.nil @t301)) % 113.24/113.53 (define @t473 () (tptp.segmentP (tptp.app @t472 @t399) @t301)) % 113.24/113.53 (define @t474 () (not @t470)) % 113.24/113.53 (define @t475 () (or @t325 @t325 @t474 @t448 @t465 @t473)) % 113.24/113.53 (define @t476 () (= @t2 @t70)) % 113.24/113.53 (define @t477 () (= @t301 @t472)) % 113.24/113.53 (define @t478 () (or @t325 @t477)) % 113.24/113.53 (define @t479 () (tptp.app @t311 @t399)) % 113.24/113.53 (define @t480 () (@var "BOUND_VARIABLE_10542" $$unsorted)) % 113.24/113.53 (define @t481 () (= (tptp.cons @t480 @t2) (tptp.app (tptp.cons @t480 tptp.nil) @t2))) % 113.24/113.53 (define @t482 () (not (tptp.ssItem @t480))) % 113.24/113.53 (define @t483 () (or @t482 @t481)) % 113.24/113.53 (define @t484 () (or @t158 @t483)) % 113.24/113.53 (define @t485 () (forall (@list @t2 @t480) @t484)) % 113.24/113.53 (define @t486 () (@list @t480)) % 113.24/113.53 (define @t487 () (forall @t486 @t484)) % 113.24/113.53 (define @t488 () (forall @t486 @t483)) % 113.24/113.53 (define @t489 () (or @t158 @t488)) % 113.24/113.53 (define @t490 () (forall @t7 (or @t415 @t99))) % 113.24/113.53 (define @t491 () (@list @t399 @t308)) % 113.24/113.53 (define @t492 () (= @t400 @t479)) % 113.24/113.53 (define @t493 () (or @t465 @t315 @t492)) % 113.24/113.53 (define @t494 () (tptp.segmentP @t400 @t301)) % 113.24/113.53 (define @t495 () (@var "BOUND_VARIABLE_9139" $$unsorted)) % 113.24/113.53 (define @t496 () (tptp.ssList (tptp.cons @t495 @t2))) % 113.24/113.53 (define @t497 () (not (tptp.ssItem @t495))) % 113.24/113.53 (define @t498 () (or @t497 @t496)) % 113.24/113.53 (define @t499 () (or @t158 @t498)) % 113.24/113.53 (define @t500 () (forall (@list @t2 @t495) @t499)) % 113.24/113.53 (define @t501 () (@list @t495)) % 113.24/113.53 (define @t502 () (forall @t501 @t499)) % 113.24/113.53 (define @t503 () (forall @t501 @t498)) % 113.24/113.53 (define @t504 () (or @t158 @t503)) % 113.24/113.53 (define @t505 () (forall @t7 (or @t415 @t52))) % 113.24/113.53 (define @t506 () (tptp.ssList @t400)) % 113.24/113.53 (define @t507 () (or @t465 @t315 @t506)) % 113.24/113.53 (define @t508 () (tptp.segmentP (tptp.app @t462 tptp.nil) @t301)) % 113.24/113.53 (define @t509 () (not @t494)) % 113.24/113.53 (define @t510 () (not @t506)) % 113.24/113.53 (define @t511 () (or @t510 @t325 @t509 @t467 @t448 @t508)) % 113.24/113.53 (define @t512 () (tptp.app @t304 tptp.nil)) % 113.24/113.53 (define @t513 () (= @t2 @t103)) % 113.24/113.53 (define @t514 () (= @t304 @t512)) % 113.24/113.53 (define @t515 () (or @t323 @t514)) % 113.24/113.53 (define @t516 () (tptp.segmentP @t304 @t301)) % 113.24/113.53 (define @t517 () (not @t516)) % 113.24/113.53 (define @t518 () (tptp.neq @t301 tptp.nil)) % 113.24/113.53 (define @t519 () (not @t518)) % 113.24/113.53 (define @t520 () (or @t325 @t519 @t517 @t474)) % 113.24/113.53 (define @t521 () (@var "BOUND_VARIABLE_9162" $$unsorted)) % 113.24/113.53 (define @t522 () (not (= @t2 (tptp.cons @t521 @t2)))) % 113.24/113.53 (define @t523 () (not (tptp.ssItem @t521))) % 113.24/113.53 (define @t524 () (or @t523 @t522)) % 113.24/113.53 (define @t525 () (or @t158 @t524)) % 113.24/113.53 (define @t526 () (forall (@list @t2 @t521) @t525)) % 113.24/113.53 (define @t527 () (@list @t521)) % 113.24/113.53 (define @t528 () (forall @t527 @t525)) % 113.24/113.53 (define @t529 () (forall @t527 @t524)) % 113.24/113.53 (define @t530 () (or @t158 @t529)) % 113.24/113.53 (define @t531 () (not (= @t2 @t51))) % 113.24/113.53 (define @t532 () (forall @t7 (or @t415 @t531))) % 113.24/113.53 (define @t533 () (not (= tptp.nil @t311))) % 113.24/113.53 (define @t534 () (or @t448 @t315 @t533)) % 113.24/113.53 (define @t535 () (= @t303 @t518)) % 113.24/113.53 (define @t536 () (not @t535)) % 113.24/113.53 (define @t537 () (or @t325 @t448 (= @t518 @t329))) % 113.24/113.53 (define @t538 () (or @t325 @t448 @t535)) % 113.24/113.53 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 113.24/113.53 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 113.24/113.53 (assume @p3 @t28) % 113.24/113.53 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 113.24/113.53 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 113.24/113.53 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 113.24/113.53 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 113.24/113.53 (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))))))))))))))))) % 113.24/113.53 (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)))))))))))))))) % 113.24/113.53 (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))))))))))))))))) % 113.24/113.53 (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))))))))))))))) % 113.24/113.53 (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))))))))))))))) % 113.24/113.53 (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)))))))))))))))) % 113.24/113.53 (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))))))))))))) % 113.24/113.53 (assume @p15 @t50) % 113.24/113.53 (assume @p16 @t55) % 113.24/113.53 (assume @p17 @t56) % 113.24/113.53 (assume @p18 @t61) % 113.24/113.53 (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))))))))))) % 113.24/113.53 (assume @p20 (forall @t9 (=> @t26 (or @t64 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t63 @t2))))))))) % 113.24/113.53 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 113.24/113.53 (assume @p22 (forall @t9 (=> @t26 (=> @t66 (tptp.ssItem @t65))))) % 113.24/113.53 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t51) @t1)))))) % 113.24/113.53 (assume @p24 (forall @t9 (=> @t26 (=> @t66 (tptp.ssList @t67))))) % 113.24/113.53 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t51) @t2)))))) % 113.24/113.53 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t68)))))) % 113.24/113.53 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (= (tptp.cons @t12 @t69) (tptp.app @t63 @t2))))))))) % 113.24/113.53 (assume @p28 @t72) % 113.24/113.53 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t74 @t73) @t3)))))) % 113.24/113.53 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t37) (tptp.leq @t2 @t12))))))))) % 113.24/113.53 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 113.24/113.53 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 @t73)))))) % 113.24/113.53 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not @t76))))))) % 113.24/113.53 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t77 @t46) @t78)))))))) % 113.24/113.53 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 @t76)))))) % 113.24/113.53 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t80))))))))) % 113.24/113.53 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t80))))))))) % 113.24/113.53 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 113.24/113.53 (assume @p39 (not (tptp.singletonP tptp.nil))) % 113.24/113.53 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 113.24/113.53 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 113.24/113.53 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 113.24/113.53 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 113.24/113.53 (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)))))))))))) % 113.24/113.53 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 113.24/113.53 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t64)))) % 113.24/113.53 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 113.24/113.53 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 113.24/113.53 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 113.24/113.53 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t81 @t1))))))))) % 113.24/113.53 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 113.24/113.53 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t64)))) % 113.24/113.53 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 113.24/113.53 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 (tptp.segmentP @t1 @t2)) @t3)))))) % 113.24/113.53 (assume @p55 @t83) % 113.24/113.53 (assume @p56 @t92) % 113.24/113.53 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 113.24/113.53 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t64)))) % 113.24/113.53 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t93)))) % 113.24/113.53 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 113.24/113.53 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t93)))) % 113.24/113.53 (assume @p62 (tptp.totalorderP tptp.nil)) % 113.24/113.53 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t93)))) % 113.24/113.53 (assume @p64 (tptp.strictorderP tptp.nil)) % 113.24/113.53 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t93)))) % 113.24/113.53 (assume @p66 (tptp.totalorderedP tptp.nil)) % 113.24/113.53 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t97) (or @t95 (and @t96 (tptp.totalorderedP @t1) (tptp.leq @t2 @t94))))))))) % 113.24/113.53 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t93)))) % 113.24/113.53 (assume @p69 (tptp.strictorderedP tptp.nil)) % 113.24/113.53 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t97) (or @t95 (and @t96 (tptp.strictorderedP @t1) (tptp.lt @t2 @t94))))))))) % 113.24/113.53 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t93)))) % 113.24/113.53 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 113.24/113.53 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t93)))) % 113.24/113.53 (assume @p74 (tptp.equalelemsP tptp.nil)) % 113.24/113.53 (assume @p75 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t6 (= @t65 @t1))))))) % 113.24/113.53 (assume @p76 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t32 (= @t67 @t1))))))) % 113.24/113.53 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t96 @t66 (= @t94 @t65) (= (tptp.tl @t1) @t67)) @t62)))))) % 113.24/113.53 (assume @p78 (forall @t9 (=> @t26 (=> @t66 (= (tptp.cons @t65 @t67) @t2))))) % 113.24/113.53 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t68) @t98)))))))) % 113.24/113.53 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t69) @t98)))))))) % 113.24/113.53 (assume @p81 @t102) % 113.24/113.53 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.app @t68 @t12) (tptp.app @t2 @t30))))))))) % 113.24/113.53 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t68) (and @t95 @t64))))))) % 113.24/113.53 (assume @p84 @t105) % 113.24/113.53 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.hd @t68) @t65))))))) % 113.24/113.53 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.tl @t68) (tptp.app @t67 @t1)))))))) % 113.24/113.53 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t75 (tptp.geq @t1 @t2)) @t3)))))) % 113.24/113.53 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t75 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 113.24/113.53 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 113.24/113.53 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 113.24/113.53 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t46) @t78)))))))) % 113.24/113.53 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (or @t3 @t77))))))) % 113.24/113.53 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 (and @t4 @t74))))))) % 113.24/113.53 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not (tptp.gt @t1 @t2)))))))) % 113.24/113.53 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t79 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 113.24/113.53 (assume @p96 @t143) % 113.24/113.53 (assume @p97 true) % 113.24/113.53 (step @p98 :rule refl :args (@t144)) % 113.24/113.53 (step @p99 :rule eq-symm :args (@t145 tptp.nil)) % 113.24/113.53 (step @p100 :rule cong :premises (@p99) :args (@t146)) % 113.24/113.53 (step @p101 :rule nary_cong :premises (@p100 @p98) :args (@t147)) % 113.24/113.53 (step @p102 :rule refl :args (@t150)) % 113.24/113.53 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t151)) % 113.24/113.53 (step @p104 :rule refl :args (@t155)) % 113.24/113.53 (step @p105 :rule refl :args (@t156)) % 113.24/113.53 (step @p106 :rule refl :args (@t157)) % 113.24/113.53 (step @p107 :rule refl :args (@t158)) % 113.24/113.53 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p104 @p103) :args (@t159)) % 113.24/113.53 (step @p109 :rule aci_norm :args ((= @t161 @t159))) % 113.24/113.53 (step @p110 :rule trans :premises (@p109 @p108)) % 113.24/113.53 (step @p111 :rule cong :premises (@p110) :args (@t163)) % 113.24/113.53 (step @p112 :rule quant-merge-prenex :args ((= (forall @t9 @t165) @t163))) % 113.24/113.53 (step @p113 :rule alpha_equiv :args (@t166 (@list @t145 @t148) (@list @t1 @t167))) % 113.24/113.53 (step @p114 :rule refl :args (@t158)) % 113.24/113.53 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t168)) % 113.24/113.53 (step @p116 :rule quant-miniscope-or :args ((= @t165 @t168))) % 113.24/113.53 (step @p117 :rule trans :premises (@p116 @p115)) % 113.24/113.53 (step @p118 :rule symm :premises (@p117)) % 113.24/113.53 (step @p119 :rule cong :premises (@p118) :args ((forall @t9 @t180))) % 113.24/113.53 (step @p120 :rule trans :premises (@p119 @p112)) % 113.24/113.53 (step @p121 :rule trans :premises (@p120 @p111)) % 113.24/113.53 (step @p122 :rule aci_norm :args ((= (or @t158 @t180) @t180))) % 113.24/113.53 (step @p123 :rule bool-impl-elim :args (@t26 @t180)) % 113.24/113.53 (step @p124 :rule trans :premises (@p123 @p122)) % 113.24/113.53 (step @p125 :rule cong :premises (@p124) :args ((forall @t9 (=> @t26 @t180)))) % 113.24/113.53 (step @p126 :rule trans :premises (@p125 @p121)) % 113.24/113.53 (step @p127 :rule quant-merge-prenex :args ((= (forall @t7 @t182) @t179))) % 113.24/113.53 (step @p128 :rule quant-unused-vars :args ((= @t183 @t170))) % 113.24/113.53 (step @p129 :rule alpha_equiv :args (@t184 (@list @t167) @t186)) % 113.24/113.53 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t187)) % 113.24/113.53 (step @p131 :rule quant-miniscope-and :args ((= @t188 @t187))) % 113.24/113.53 (step @p132 :rule trans :premises (@p131 @p130)) % 113.24/113.53 (step @p133 :rule refl :args (@t176)) % 113.24/113.53 (step @p134 :rule refl :args (@t131)) % 113.24/113.53 (step @p135 :rule refl :args (@t177)) % 113.24/113.53 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132) :args (@t189)) % 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(step @p780 :rule eq_resolve :premises (@p18 @p779)) % 113.24/113.53 (step @p781 :rule instantiate :premises (@p780) :args ((@list tptp.nil @t308))) % 113.24/113.53 (step @p782 :rule cnf_or_pos :args (@t534)) % 113.24/113.53 (step @p783 :rule reordering :premises (@p782) :args ((or @t448 @t315 @t533 (not @t534)))) % 113.24/113.53 (step @p784 :rule chain_m_resolution :premises (@p783 @p17 @p613 @p781) :args (@t533 @t455 (@list @t56 @t314 @t534))) % 113.24/113.53 (step @p785 :rule false_intro :premises (@p784)) % 113.24/113.53 (step @p786 :rule cong :premises (@p730 @p665) :args (@t302)) % 113.24/113.53 (step @p787 :rule trans :premises (@p786 @p785)) % 113.24/113.53 (step @p788 :rule false_elim :premises (@p787)) % 113.24/113.53 (step @p789 :rule refl :args (@t518)) % 113.24/113.53 (step @p790 :rule bool-double-not-elim :args (@t302)) % 113.24/113.53 (step @p791 :rule refl :args (@t536)) % 113.24/113.53 (step @p792 :rule nary_cong :premises (@p791 @p790 @p789) :args ((or @t536 (not @t303) @t518))) % 113.24/113.53 (step @p793 :rule cnf_equiv_pos1 :args (@t535)) % 113.24/113.53 (step @p794 :rule eq_resolve :premises (@p793 @p792)) % 113.24/113.53 (step @p795 :rule reordering :premises (@p794) :args ((or @t302 @t518 @t536))) % 113.24/113.53 (step @p796 :rule chain_m_resolution :premises (@p795 @p788 @p755) :args (@t536 (@list true true) (@list @t302 @t518))) % 113.24/113.53 (step @p797 :rule cong :premises (@p372 @p789) :args ((= @t329 @t518))) % 113.24/113.53 (step @p798 :rule eq-symm :args (@t518 @t329)) % 113.24/113.53 (step @p799 :rule trans :premises (@p798 @p797)) % 113.24/113.53 (step @p800 :rule nary_cong :premises (@p380 @p568 @p799) :args (@t537)) % 113.24/113.53 (step @p801 :rule cong :premises (@p570 @p800) :args ((=> @t450 @t537))) % 113.24/113.53 (assume-push @p816 @t450) % 113.24/113.53 (step @p803 :rule instantiate :premises (@p563) :args ((@list @t301 tptp.nil))) % 113.24/113.53 (step-pop @p817 :rule scope :premises (@p803)) % 113.24/113.53 (step @p804 :rule process_scope :premises (@p817) :args (@t537)) % 113.24/113.53 (step @p806 :rule eq_resolve :premises (@p804 @p801)) % 113.24/113.53 (step @p807 :rule implies_elim :premises (@p806)) % 113.24/113.53 (step @p808 :rule chain_m_resolution :premises (@p807 @p563) :args (@t538 @t453 @t454)) % 113.24/113.53 (step @p809 :rule cnf_or_pos :args (@t538)) % 113.24/113.53 (step @p810 :rule reordering :premises (@p809) :args ((or @t448 @t325 @t535 (not @t538)))) % 113.24/113.53 (step @p811 false :rule chain_m_resolution :premises (@p810 @p808 @p796 @p399 @p17) :args (false (@list false true false false) (@list @t538 @t535 @t324 @t56))) % 113.24/113.53 ) % 113.24/113.53 % SZS output end Proof % 113.24/113.53 % cvc5 exiting %------------------------------------------------------------------------------