%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC125+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 : n013.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 08:58:09 AM UTC 2026 % Result : Theorem 234.55s 234.85s % Output : Proof 234.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC125+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:16:15 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 234.55/234.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 234.55/234.85 --- Run --no-e-matching --full-saturate-quant at 6... % 234.55/234.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 234.55/234.85 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 234.55/234.85 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 234.55/234.85 --- Run --trigger-sel=max --full-saturate-quant at 15... % 234.55/234.85 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 234.55/234.85 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 234.55/234.85 --- Run --prenex-quant=none --full-saturate-quant at 30... % 234.55/234.85 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 234.55/234.85 --- Run --relevant-triggers --full-saturate-quant at 30... % 234.55/234.85 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 234.55/234.85 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 234.55/234.85 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 234.55/234.85 % SZS status Theorem % 234.55/234.85 % SZS output start Proof % 234.55/234.85 ( % 234.55/234.85 (declare-sort $$unsorted 0) % 234.55/234.85 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 234.55/234.85 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 234.55/234.85 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 234.55/234.85 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 234.55/234.85 (declare-const tptp.nil $$unsorted) % 234.55/234.85 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.ssList (-> $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 234.55/234.85 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 234.55/234.85 (define @t1 () (@var "V" $$unsorted)) % 234.55/234.85 (define @t2 () (@var "U" $$unsorted)) % 234.55/234.85 (define @t3 () (= @t2 @t1)) % 234.55/234.85 (define @t4 () (not @t3)) % 234.55/234.85 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 234.55/234.85 (define @t6 () (tptp.ssItem @t1)) % 234.55/234.85 (define @t7 () (@list @t1)) % 234.55/234.85 (define @t8 () (tptp.ssItem @t2)) % 234.55/234.85 (define @t9 () (@list @t2)) % 234.55/234.85 (define @t10 () (@var "X" $$unsorted)) % 234.55/234.85 (define @t11 () (tptp.cons @t1 @t10)) % 234.55/234.85 (define @t12 () (@var "W" $$unsorted)) % 234.55/234.85 (define @t13 () (tptp.ssList @t10)) % 234.55/234.85 (define @t14 () (@list @t10)) % 234.55/234.85 (define @t15 () (tptp.ssList @t12)) % 234.55/234.85 (define @t16 () (@list @t12)) % 234.55/234.85 (define @t17 () (tptp.ssList @t2)) % 234.55/234.85 (define @t18 () (tptp.cons @t1 tptp.nil)) % 234.55/234.85 (define @t19 () (and @t6 (= @t18 @t2))) % 234.55/234.85 (define @t20 () (exists @t7 @t19)) % 234.55/234.85 (define @t21 () (tptp.singletonP @t2)) % 234.55/234.85 (define @t22 () (= @t21 @t20)) % 234.55/234.85 (define @t23 () (=> @t17 @t22)) % 234.55/234.85 (define @t24 () (forall @t9 @t23)) % 234.55/234.85 (define @t25 () (tptp.app @t1 @t12)) % 234.55/234.85 (define @t26 () (tptp.frontsegP @t2 @t1)) % 234.55/234.85 (define @t27 () (tptp.ssList @t1)) % 234.55/234.85 (define @t28 () (tptp.app @t12 @t1)) % 234.55/234.85 (define @t29 () (tptp.rearsegP @t2 @t1)) % 234.55/234.85 (define @t30 () (tptp.segmentP @t2 @t1)) % 234.55/234.85 (define @t31 () (tptp.leq @t12 @t1)) % 234.55/234.85 (define @t32 () (tptp.leq @t1 @t12)) % 234.55/234.85 (define @t33 () (@var "Z" $$unsorted)) % 234.55/234.85 (define @t34 () (@var "Y" $$unsorted)) % 234.55/234.85 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 234.55/234.85 (define @t36 () (tptp.ssList @t33)) % 234.55/234.85 (define @t37 () (@list @t33)) % 234.55/234.85 (define @t38 () (tptp.ssList @t34)) % 234.55/234.85 (define @t39 () (@list @t34)) % 234.55/234.85 (define @t40 () (tptp.ssItem @t12)) % 234.55/234.85 (define @t41 () (tptp.lt @t1 @t12)) % 234.55/234.85 (define @t42 () (tptp.strictorderedP @t2)) % 234.55/234.85 (define @t43 () (= @t1 @t12)) % 234.55/234.85 (define @t44 () (forall @t7 (=> @t27 @t5))) % 234.55/234.85 (define @t45 () (=> @t17 @t44)) % 234.55/234.85 (define @t46 () (forall @t9 @t45)) % 234.55/234.85 (define @t47 () (tptp.cons @t1 @t2)) % 234.55/234.85 (define @t48 () (tptp.ssList @t47)) % 234.55/234.85 (define @t49 () (forall @t7 (=> @t6 @t48))) % 234.55/234.85 (define @t50 () (=> @t17 @t49)) % 234.55/234.85 (define @t51 () (forall @t9 @t50)) % 234.55/234.85 (define @t52 () (tptp.ssList tptp.nil)) % 234.55/234.85 (define @t53 () (= @t1 @t2)) % 234.55/234.85 (define @t54 () (tptp.cons @t12 @t1)) % 234.55/234.85 (define @t55 () (and @t40 (= @t54 @t2))) % 234.55/234.85 (define @t56 () (exists @t16 @t55)) % 234.55/234.85 (define @t57 () (and @t27 @t56)) % 234.55/234.85 (define @t58 () (exists @t7 @t57)) % 234.55/234.85 (define @t59 () (= tptp.nil @t2)) % 234.55/234.85 (define @t60 () (or @t59 @t58)) % 234.55/234.85 (define @t61 () (=> @t17 @t60)) % 234.55/234.85 (define @t62 () (forall @t9 @t61)) % 234.55/234.85 (define @t63 () (tptp.hd @t2)) % 234.55/234.85 (define @t64 () (tptp.ssItem @t63)) % 234.55/234.85 (define @t65 () (not @t59)) % 234.55/234.85 (define @t66 () (=> @t65 @t64)) % 234.55/234.85 (define @t67 () (=> @t17 @t66)) % 234.55/234.85 (define @t68 () (forall @t9 @t67)) % 234.55/234.85 (define @t69 () (tptp.tl @t2)) % 234.55/234.85 (define @t70 () (tptp.tl @t47)) % 234.55/234.85 (define @t71 () (=> @t6 (= @t70 @t2))) % 234.55/234.85 (define @t72 () (forall @t7 @t71)) % 234.55/234.85 (define @t73 () (=> @t17 @t72)) % 234.55/234.85 (define @t74 () (forall @t9 @t73)) % 234.55/234.85 (define @t75 () (tptp.app @t2 @t1)) % 234.55/234.85 (define @t76 () (tptp.app @t1 @t2)) % 234.55/234.85 (define @t77 () (tptp.app tptp.nil @t2)) % 234.55/234.85 (define @t78 () (=> @t17 (= @t77 @t2))) % 234.55/234.85 (define @t79 () (forall @t9 @t78)) % 234.55/234.85 (define @t80 () (tptp.leq @t1 @t2)) % 234.55/234.85 (define @t81 () (tptp.leq @t2 @t1)) % 234.55/234.85 (define @t82 () (tptp.geq @t2 @t1)) % 234.55/234.85 (define @t83 () (tptp.lt @t1 @t2)) % 234.55/234.85 (define @t84 () (tptp.lt @t2 @t1)) % 234.55/234.85 (define @t85 () (tptp.lt @t2 @t12)) % 234.55/234.85 (define @t86 () (tptp.gt @t2 @t1)) % 234.55/234.85 (define @t87 () (tptp.memberP @t12 @t2)) % 234.55/234.85 (define @t88 () (tptp.singletonP tptp.nil)) % 234.55/234.85 (define @t89 () (tptp.app @t12 @t2)) % 234.55/234.85 (define @t90 () (tptp.segmentP @t1 @t12)) % 234.55/234.85 (define @t91 () (tptp.segmentP @t1 @t2)) % 234.55/234.85 (define @t92 () (tptp.segmentP @t2 @t2)) % 234.55/234.85 (define @t93 () (forall @t9 (=> @t17 @t92))) % 234.55/234.85 (define @t94 () (tptp.segmentP (tptp.app @t89 @t10) @t1)) % 234.55/234.85 (define @t95 () (=> @t30 @t94)) % 234.55/234.85 (define @t96 () (forall @t14 (=> @t13 @t95))) % 234.55/234.85 (define @t97 () (=> @t15 @t96)) % 234.55/234.85 (define @t98 () (forall @t16 @t97)) % 234.55/234.85 (define @t99 () (=> @t27 @t98)) % 234.55/234.85 (define @t100 () (forall @t7 @t99)) % 234.55/234.85 (define @t101 () (=> @t17 @t100)) % 234.55/234.85 (define @t102 () (forall @t9 @t101)) % 234.55/234.85 (define @t103 () (tptp.segmentP @t2 tptp.nil)) % 234.55/234.85 (define @t104 () (forall @t9 (=> @t17 @t103))) % 234.55/234.85 (define @t105 () (tptp.cons @t2 tptp.nil)) % 234.55/234.85 (define @t106 () (tptp.hd @t1)) % 234.55/234.85 (define @t107 () (= tptp.nil @t1)) % 234.55/234.85 (define @t108 () (not @t107)) % 234.55/234.85 (define @t109 () (tptp.cons @t2 @t1)) % 234.55/234.85 (define @t110 () (tptp.strictorderedP @t105)) % 234.55/234.85 (define @t111 () (forall @t9 (=> @t8 @t110))) % 234.55/234.85 (define @t112 () (tptp.cons @t63 @t69)) % 234.55/234.85 (define @t113 () (=> @t65 (= @t112 @t2))) % 234.55/234.85 (define @t114 () (=> @t17 @t113)) % 234.55/234.85 (define @t115 () (forall @t9 @t114)) % 234.55/234.85 (define @t116 () (= @t12 @t2)) % 234.55/234.85 (define @t117 () (= @t47 (tptp.app @t18 @t2))) % 234.55/234.85 (define @t118 () (forall @t7 (=> @t6 @t117))) % 234.55/234.85 (define @t119 () (=> @t17 @t118)) % 234.55/234.85 (define @t120 () (forall @t9 @t119)) % 234.55/234.85 (define @t121 () (tptp.neq @t2 tptp.nil)) % 234.55/234.85 (define @t122 () (and @t121 @t91)) % 234.55/234.85 (define @t123 () (tptp.strictorderedP @t34)) % 234.55/234.85 (define @t124 () (tptp.segmentP @t34 @t12)) % 234.55/234.85 (define @t125 () (tptp.segmentP @t10 @t34)) % 234.55/234.85 (define @t126 () (tptp.neq @t12 @t34)) % 234.55/234.85 (define @t127 () (and @t38 @t126 @t125 @t124 @t123)) % 234.55/234.85 (define @t128 () (exists @t39 @t127)) % 234.55/234.85 (define @t129 () (not (tptp.strictorderedP @t12))) % 234.55/234.85 (define @t130 () (not (tptp.segmentP @t10 @t12))) % 234.55/234.85 (define @t131 () (not (tptp.neq @t1 tptp.nil))) % 234.55/234.85 (define @t132 () (not (= @t2 @t12))) % 234.55/234.85 (define @t133 () (not (= @t1 @t10))) % 234.55/234.85 (define @t134 () (or @t133 @t132 @t131 @t130 @t129 @t128 @t122)) % 234.55/234.85 (define @t135 () (=> @t13 @t134)) % 234.55/234.85 (define @t136 () (forall @t14 @t135)) % 234.55/234.85 (define @t137 () (=> @t15 @t136)) % 234.55/234.85 (define @t138 () (forall @t16 @t137)) % 234.55/234.85 (define @t139 () (=> @t27 @t138)) % 234.55/234.85 (define @t140 () (forall @t7 @t139)) % 234.55/234.85 (define @t141 () (=> @t17 @t140)) % 234.55/234.85 (define @t142 () (forall @t9 @t141)) % 234.55/234.85 (define @t143 () (not @t142)) % 234.55/234.85 (define @t144 () (@var "BOUND_VARIABLE_10200" $$unsorted)) % 234.55/234.85 (define @t145 () (@var "BOUND_VARIABLE_10204" $$unsorted)) % 234.55/234.85 (define @t146 () (@var "BOUND_VARIABLE_10202" $$unsorted)) % 234.55/234.85 (define @t147 () (tptp.segmentP (tptp.app (tptp.app @t146 @t2) @t145) @t144)) % 234.55/234.85 (define @t148 () (not (tptp.ssList @t145))) % 234.55/234.85 (define @t149 () (not (tptp.ssList @t146))) % 234.55/234.85 (define @t150 () (not (tptp.segmentP @t2 @t144))) % 234.55/234.85 (define @t151 () (not (tptp.ssList @t144))) % 234.55/234.85 (define @t152 () (not @t17)) % 234.55/234.85 (define @t153 () (or @t151 @t150 @t149 @t148 @t147)) % 234.55/234.85 (define @t154 () (or @t152 @t153)) % 234.55/234.85 (define @t155 () (forall (@list @t2 @t144 @t146 @t145) @t154)) % 234.55/234.85 (define @t156 () (@list @t144 @t146 @t145)) % 234.55/234.85 (define @t157 () (forall @t156 @t154)) % 234.55/234.85 (define @t158 () (forall @t156 @t153)) % 234.55/234.85 (define @t159 () (@var "BOUND_VARIABLE_10181" $$unsorted)) % 234.55/234.85 (define @t160 () (@var "BOUND_VARIABLE_10179" $$unsorted)) % 234.55/234.85 (define @t161 () (or @t152 @t158)) % 234.55/234.85 (define @t162 () (tptp.segmentP (tptp.app (tptp.app @t160 @t2) @t159) @t1)) % 234.55/234.85 (define @t163 () (not (tptp.ssList @t159))) % 234.55/234.85 (define @t164 () (not (tptp.ssList @t160))) % 234.55/234.85 (define @t165 () (not @t30)) % 234.55/234.85 (define @t166 () (not @t27)) % 234.55/234.85 (define @t167 () (or @t166 @t165 @t164 @t163 @t162)) % 234.55/234.85 (define @t168 () (@list @t1 @t160 @t159)) % 234.55/234.85 (define @t169 () (forall @t168 @t167)) % 234.55/234.85 (define @t170 () (or @t164 @t163 @t162)) % 234.55/234.85 (define @t171 () (or @t166 @t165 @t170)) % 234.55/234.85 (define @t172 () (forall @t168 @t171)) % 234.55/234.85 (define @t173 () (@list @t160 @t159)) % 234.55/234.85 (define @t174 () (forall @t173 @t171)) % 234.55/234.85 (define @t175 () (forall @t173 @t170)) % 234.55/234.85 (define @t176 () (@var "BOUND_VARIABLE_10162" $$unsorted)) % 234.55/234.85 (define @t177 () (or @t166 @t165 @t175)) % 234.55/234.85 (define @t178 () (tptp.segmentP (tptp.app @t89 @t176) @t1)) % 234.55/234.85 (define @t179 () (not (tptp.ssList @t176))) % 234.55/234.85 (define @t180 () (not @t15)) % 234.55/234.85 (define @t181 () (or @t180 @t179 @t178)) % 234.55/234.85 (define @t182 () (@list @t12 @t176)) % 234.55/234.85 (define @t183 () (forall @t182 @t181)) % 234.55/234.85 (define @t184 () (or @t166 @t165 @t183)) % 234.55/234.85 (define @t185 () (or @t165 @t183)) % 234.55/234.85 (define @t186 () (or @t179 @t178)) % 234.55/234.85 (define @t187 () (or @t180 @t186)) % 234.55/234.85 (define @t188 () (forall @t182 @t187)) % 234.55/234.85 (define @t189 () (@list @t176)) % 234.55/234.85 (define @t190 () (forall @t189 @t187)) % 234.55/234.85 (define @t191 () (forall @t189 @t186)) % 234.55/234.85 (define @t192 () (or @t180 @t191)) % 234.55/234.85 (define @t193 () (not @t13)) % 234.55/234.85 (define @t194 () (or @t193 @t94)) % 234.55/234.85 (define @t195 () (forall @t14 @t194)) % 234.55/234.85 (define @t196 () (or @t180 @t195)) % 234.55/234.85 (define @t197 () (forall @t16 @t196)) % 234.55/234.85 (define @t198 () (or @t165 @t197)) % 234.55/234.85 (define @t199 () (or @t165 @t196)) % 234.55/234.85 (define @t200 () (or @t180 @t165 @t195)) % 234.55/234.85 (define @t201 () (or @t165 @t195)) % 234.55/234.85 (define @t202 () (or @t165 @t194)) % 234.55/234.85 (define @t203 () (or @t193 @t165 @t94)) % 234.55/234.85 (define @t204 () (not @t123)) % 234.55/234.85 (define @t205 () (not (tptp.segmentP @t34 @t2))) % 234.55/234.85 (define @t206 () (@var "BOUND_VARIABLE_10984" $$unsorted)) % 234.55/234.85 (define @t207 () (not (tptp.neq @t2 @t34))) % 234.55/234.85 (define @t208 () (not @t38)) % 234.55/234.85 (define @t209 () (not (forall @t39 (or @t208 @t207 (not (tptp.segmentP @t206 @t34)) @t205 @t204)))) % 234.55/234.85 (define @t210 () (tptp.segmentP @t206 @t2)) % 234.55/234.85 (define @t211 () (not @t210)) % 234.55/234.85 (define @t212 () (and @t121 @t210)) % 234.55/234.85 (define @t213 () (not (tptp.neq @t206 tptp.nil))) % 234.55/234.85 (define @t214 () (not (tptp.ssList @t206))) % 234.55/234.85 (define @t215 () (not @t42)) % 234.55/234.85 (define @t216 () (or @t152 @t215 @t214 @t213 @t212 @t211 @t209)) % 234.55/234.85 (define @t217 () (@list @t2 @t206)) % 234.55/234.85 (define @t218 () (forall @t217 @t216)) % 234.55/234.85 (define @t219 () (@quantifiers_skolemize @t218 1)) % 234.55/234.85 (define @t220 () (tptp.tl @t219)) % 234.55/234.85 (define @t221 () (tptp.hd @t219)) % 234.55/234.85 (define @t222 () (tptp.cons @t221 tptp.nil)) % 234.55/234.85 (define @t223 () (@list @t222)) % 234.55/234.85 (define @t224 () (@var "BOUND_VARIABLE_9122" $$unsorted)) % 234.55/234.85 (define @t225 () (tptp.ssList (tptp.cons @t224 @t2))) % 234.55/234.85 (define @t226 () (not (tptp.ssItem @t224))) % 234.55/234.85 (define @t227 () (or @t226 @t225)) % 234.55/234.85 (define @t228 () (or @t152 @t227)) % 234.55/234.85 (define @t229 () (forall (@list @t2 @t224) @t228)) % 234.55/234.85 (define @t230 () (@list @t224)) % 234.55/234.85 (define @t231 () (forall @t230 @t228)) % 234.55/234.85 (define @t232 () (forall @t230 @t227)) % 234.55/234.85 (define @t233 () (@list @t1)) % 234.55/234.85 (define @t234 () (or @t152 @t232)) % 234.55/234.85 (define @t235 () (not @t6)) % 234.55/234.85 (define @t236 () (forall @t7 (or @t235 @t48))) % 234.55/234.85 (define @t237 () (= @t2 tptp.nil)) % 234.55/234.85 (define @t238 () (or @t152 @t237 @t64)) % 234.55/234.85 (define @t239 () (not @t237)) % 234.55/234.85 (define @t240 () (not @t239)) % 234.55/234.85 (define @t241 () (=> @t239 @t64)) % 234.55/234.85 (define @t242 () (tptp.ssItem @t221)) % 234.55/234.85 (define @t243 () (tptp.ssList @t219)) % 234.55/234.85 (define @t244 () (not @t243)) % 234.55/234.85 (define @t245 () (= @t219 tptp.nil)) % 234.55/234.85 (define @t246 () (or @t244 @t245 @t242)) % 234.55/234.85 (define @t247 () (forall @t9 @t238)) % 234.55/234.85 (define @t248 () (@list @t219)) % 234.55/234.85 (define @t249 () (= tptp.nil @t219)) % 234.55/234.85 (define @t250 () (or @t244 @t249 @t242)) % 234.55/234.85 (define @t251 () (@list false)) % 234.55/234.85 (define @t252 () (@var "BOUND_VARIABLE_9101" $$unsorted)) % 234.55/234.85 (define @t253 () (= (tptp.neq @t2 @t252) (not (= @t2 @t252)))) % 234.55/234.85 (define @t254 () (not (tptp.ssList @t252))) % 234.55/234.85 (define @t255 () (or @t152 @t254 @t253)) % 234.55/234.85 (define @t256 () (or @t254 @t253)) % 234.55/234.85 (define @t257 () (or @t152 @t256)) % 234.55/234.85 (define @t258 () (@list @t2 @t252)) % 234.55/234.85 (define @t259 () (forall @t258 @t257)) % 234.55/234.85 (define @t260 () (@list @t252)) % 234.55/234.85 (define @t261 () (forall @t260 @t257)) % 234.55/234.85 (define @t262 () (forall @t260 @t256)) % 234.55/234.85 (define @t263 () (or @t152 @t262)) % 234.55/234.85 (define @t264 () (forall @t7 (or @t166 @t5))) % 234.55/234.85 (define @t265 () (not @t245)) % 234.55/234.85 (define @t266 () (tptp.neq @t219 tptp.nil)) % 234.55/234.85 (define @t267 () (= @t266 @t265)) % 234.55/234.85 (define @t268 () (not @t52)) % 234.55/234.85 (define @t269 () (or @t244 @t268 @t267)) % 234.55/234.85 (define @t270 () (forall @t258 @t255)) % 234.55/234.85 (define @t271 () (not @t249)) % 234.55/234.85 (define @t272 () (= @t266 @t271)) % 234.55/234.85 (define @t273 () (or @t244 @t268 @t272)) % 234.55/234.85 (define @t274 () (@list @t270)) % 234.55/234.85 (define @t275 () (or @t214 @t213 @t212 @t211 @t209)) % 234.55/234.85 (define @t276 () (or @t152 @t215 @t275)) % 234.55/234.85 (define @t277 () (forall @t217 @t276)) % 234.55/234.85 (define @t278 () (@list @t206)) % 234.55/234.85 (define @t279 () (forall @t278 @t276)) % 234.55/234.85 (define @t280 () (forall @t278 @t275)) % 234.55/234.85 (define @t281 () (or @t152 @t215 @t280)) % 234.55/234.85 (define @t282 () (not (tptp.segmentP @t1 @t34))) % 234.55/234.85 (define @t283 () (not (forall @t39 (or @t208 @t207 @t282 @t205 @t204)))) % 234.55/234.85 (define @t284 () (not @t91)) % 234.55/234.85 (define @t285 () (or @t166 @t131 @t122 @t284 @t283)) % 234.55/234.85 (define @t286 () (or @t152 @t215 (forall @t7 @t285))) % 234.55/234.85 (define @t287 () (or @t152 @t215 @t285)) % 234.55/234.85 (define @t288 () (or @t166 @t131 @t122 @t152 @t215 @t284 @t283)) % 234.55/234.85 (define @t289 () (or @t131 @t122 @t166 @t152 @t215 @t284 @t283)) % 234.55/234.85 (define @t290 () (or @t152 @t215 @t284 @t283)) % 234.55/234.85 (define @t291 () (not (= @t2 @t2))) % 234.55/234.85 (define @t292 () (or @t152 @t291 @t215 @t284 @t283)) % 234.55/234.85 (define @t293 () (not @t124)) % 234.55/234.85 (define @t294 () (not @t126)) % 234.55/234.85 (define @t295 () (not (forall @t39 (or @t208 @t294 @t282 @t293 @t204)))) % 234.55/234.85 (define @t296 () (not @t90)) % 234.55/234.85 (define @t297 () (or @t132 @t180 @t132 @t129 @t296 @t295)) % 234.55/234.85 (define @t298 () (or @t180 @t132 @t129 @t296 @t295)) % 234.55/234.85 (define @t299 () (forall @t16 @t298)) % 234.55/234.85 (define @t300 () (or @t131 @t122 @t166 @t299)) % 234.55/234.85 (define @t301 () (or @t131 @t122 @t166 @t298)) % 234.55/234.85 (define @t302 () (or @t180 @t132 @t131 @t129 @t122 @t166 @t296 @t295)) % 234.55/234.85 (define @t303 () (or @t132 @t131 @t129 @t122 @t166 @t296 @t295)) % 234.55/234.85 (define @t304 () (or @t166 @t296 @t295)) % 234.55/234.85 (define @t305 () (not (= @t1 @t1))) % 234.55/234.85 (define @t306 () (or @t166 @t305 @t296 @t295)) % 234.55/234.85 (define @t307 () (not @t125)) % 234.55/234.85 (define @t308 () (or @t208 @t294 @t307 @t293 @t204)) % 234.55/234.85 (define @t309 () (not (forall @t39 @t308))) % 234.55/234.85 (define @t310 () (or @t133 @t193 @t133 @t130 @t309)) % 234.55/234.85 (define @t311 () (or @t193 @t133 @t130 @t309)) % 234.55/234.85 (define @t312 () (forall @t14 @t311)) % 234.55/234.85 (define @t313 () (or @t132 @t131 @t129 @t122 @t312)) % 234.55/234.85 (define @t314 () (or @t132 @t131 @t129 @t122 @t311)) % 234.55/234.85 (define @t315 () (or @t193 @t133 @t132 @t131 @t130 @t129 @t309 @t122)) % 234.55/234.85 (define @t316 () (or @t133 @t132 @t131 @t130 @t129 @t309 @t122)) % 234.55/234.85 (define @t317 () (forall @t39 (not @t127))) % 234.55/234.85 (define @t318 () (not @t317)) % 234.55/234.85 (define @t319 () (@quantifiers_skolemize @t218 0)) % 234.55/234.85 (define @t320 () (forall @t39 (or @t208 (not (tptp.neq @t319 @t34)) (not (tptp.segmentP @t219 @t34)) (not (tptp.segmentP @t34 @t319)) @t204))) % 234.55/234.85 (define @t321 () (not @t320)) % 234.55/234.85 (define @t322 () (tptp.segmentP @t219 @t319)) % 234.55/234.85 (define @t323 () (not @t322)) % 234.55/234.85 (define @t324 () (tptp.neq @t319 tptp.nil)) % 234.55/234.85 (define @t325 () (and @t324 @t322)) % 234.55/234.85 (define @t326 () (not @t266)) % 234.55/234.85 (define @t327 () (tptp.ssList @t319)) % 234.55/234.85 (define @t328 () (not @t327)) % 234.55/234.85 (define @t329 () (or @t328 (not (tptp.strictorderedP @t319)) @t244 @t326 @t325 @t323 @t321)) % 234.55/234.85 (define @t330 () (@list true)) % 234.55/234.85 (define @t331 () (@list @t329)) % 234.55/234.85 (define @t332 () (@list false false false)) % 234.55/234.85 (define @t333 () (@list false false)) % 234.55/234.85 (define @t334 () (@list false true false)) % 234.55/234.85 (define @t335 () (tptp.ssList @t222)) % 234.55/234.85 (define @t336 () (not @t242)) % 234.55/234.85 (define @t337 () (or @t268 @t336 @t335)) % 234.55/234.85 (define @t338 () (tptp.segmentP @t222 @t222)) % 234.55/234.85 (define @t339 () (not @t335)) % 234.55/234.85 (define @t340 () (or @t339 @t338)) % 234.55/234.85 (define @t341 () (@var "BOUND_VARIABLE_9259" $$unsorted)) % 234.55/234.85 (define @t342 () (tptp.cons @t341 @t1)) % 234.55/234.85 (define @t343 () (not (= @t2 @t342))) % 234.55/234.85 (define @t344 () (not (tptp.ssItem @t341))) % 234.55/234.85 (define @t345 () (or @t166 @t344 @t343)) % 234.55/234.85 (define @t346 () (@list @t1 @t341)) % 234.55/234.85 (define @t347 () (not (forall @t346 @t345))) % 234.55/234.85 (define @t348 () (or @t152 @t237 @t347)) % 234.55/234.85 (define @t349 () (or @t237 @t347)) % 234.55/234.85 (define @t350 () (or @t344 @t343)) % 234.55/234.85 (define @t351 () (or @t166 @t350)) % 234.55/234.85 (define @t352 () (forall @t346 @t351)) % 234.55/234.85 (define @t353 () (@list @t341)) % 234.55/234.85 (define @t354 () (forall @t353 @t351)) % 234.55/234.85 (define @t355 () (forall @t353 @t350)) % 234.55/234.85 (define @t356 () (or @t166 @t355)) % 234.55/234.85 (define @t357 () (= @t2 @t54)) % 234.55/234.85 (define @t358 () (forall @t16 (or (not @t40) (not @t357)))) % 234.55/234.85 (define @t359 () (not @t358)) % 234.55/234.85 (define @t360 () (and @t27 @t359)) % 234.55/234.85 (define @t361 () (forall @t7 (not @t360))) % 234.55/234.85 (define @t362 () (not @t361)) % 234.55/234.85 (define @t363 () (and @t40 @t357)) % 234.55/234.85 (define @t364 () (forall @t16 (not @t363))) % 234.55/234.85 (define @t365 () (not @t364)) % 234.55/234.85 (define @t366 () (not (= @t219 @t342))) % 234.55/234.85 (define @t367 () (or @t166 @t344 @t366)) % 234.55/234.85 (define @t368 () (forall @t346 @t367)) % 234.55/234.85 (define @t369 () (not @t368)) % 234.55/234.85 (define @t370 () (or @t244 @t245 @t369)) % 234.55/234.85 (define @t371 () (forall @t9 @t348)) % 234.55/234.85 (define @t372 () (forall @t346 (or @t166 @t344 (not (= @t342 @t219))))) % 234.55/234.85 (define @t373 () (not @t372)) % 234.55/234.85 (define @t374 () (or @t244 @t249 @t373)) % 234.55/234.85 (define @t375 () (@quantifiers_skolemize @t372 0)) % 234.55/234.85 (define @t376 () (@quantifiers_skolemize @t372 1)) % 234.55/234.85 (define @t377 () (tptp.cons @t376 @t375)) % 234.55/234.85 (define @t378 () (= @t219 @t377)) % 234.55/234.85 (define @t379 () (not @t378)) % 234.55/234.85 (define @t380 () (tptp.ssItem @t376)) % 234.55/234.85 (define @t381 () (not @t380)) % 234.55/234.85 (define @t382 () (tptp.ssList @t375)) % 234.55/234.85 (define @t383 () (not @t382)) % 234.55/234.85 (define @t384 () (or @t383 @t381 @t379)) % 234.55/234.85 (define @t385 () (not @t384)) % 234.55/234.85 (define @t386 () (not (= @t377 @t219))) % 234.55/234.85 (define @t387 () (or @t383 @t381 @t386)) % 234.55/234.85 (define @t388 () (not @t387)) % 234.55/234.85 (define @t389 () (@list @t384)) % 234.55/234.85 (define @t390 () (@var "BOUND_VARIABLE_9346" $$unsorted)) % 234.55/234.85 (define @t391 () (= @t2 (tptp.tl (tptp.cons @t390 @t2)))) % 234.55/234.85 (define @t392 () (not (tptp.ssItem @t390))) % 234.55/234.85 (define @t393 () (or @t392 @t391)) % 234.55/234.85 (define @t394 () (or @t152 @t393)) % 234.55/234.85 (define @t395 () (forall (@list @t2 @t390) @t394)) % 234.55/234.85 (define @t396 () (@list @t390)) % 234.55/234.85 (define @t397 () (forall @t396 @t394)) % 234.55/234.85 (define @t398 () (forall @t396 @t393)) % 234.55/234.85 (define @t399 () (or @t152 @t398)) % 234.55/234.85 (define @t400 () (= @t2 @t70)) % 234.55/234.85 (define @t401 () (forall @t7 (or @t235 @t400))) % 234.55/234.85 (define @t402 () (= @t375 (tptp.tl @t377))) % 234.55/234.85 (define @t403 () (or @t383 @t381 @t402)) % 234.55/234.85 (define @t404 () (tptp.ssList @t220)) % 234.55/234.85 (define @t405 () (tptp.app tptp.nil @t222)) % 234.55/234.85 (define @t406 () (tptp.segmentP (tptp.app @t405 @t220) @t222)) % 234.55/234.85 (define @t407 () (not @t404)) % 234.55/234.85 (define @t408 () (not @t338)) % 234.55/234.85 (define @t409 () (or @t339 @t339 @t408 @t268 @t407 @t406)) % 234.55/234.85 (define @t410 () (@list false false false false false)) % 234.55/234.85 (define @t411 () (= @t2 @t77)) % 234.55/234.85 (define @t412 () (= @t222 @t405)) % 234.55/234.85 (define @t413 () (or @t339 @t412)) % 234.55/234.85 (define @t414 () (tptp.app @t222 @t220)) % 234.55/234.85 (define @t415 () (@var "BOUND_VARIABLE_10525" $$unsorted)) % 234.55/234.85 (define @t416 () (= (tptp.cons @t415 @t2) (tptp.app (tptp.cons @t415 tptp.nil) @t2))) % 234.55/234.85 (define @t417 () (not (tptp.ssItem @t415))) % 234.55/234.85 (define @t418 () (or @t417 @t416)) % 234.55/234.85 (define @t419 () (or @t152 @t418)) % 234.55/234.85 (define @t420 () (forall (@list @t2 @t415) @t419)) % 234.55/234.85 (define @t421 () (@list @t415)) % 234.55/234.85 (define @t422 () (forall @t421 @t419)) % 234.55/234.85 (define @t423 () (forall @t421 @t418)) % 234.55/234.85 (define @t424 () (or @t152 @t423)) % 234.55/234.85 (define @t425 () (forall @t7 (or @t235 @t117))) % 234.55/234.85 (define @t426 () (tptp.cons @t221 @t220)) % 234.55/234.85 (define @t427 () (= @t426 @t414)) % 234.55/234.85 (define @t428 () (or @t407 @t336 @t427)) % 234.55/234.85 (define @t429 () (= @t2 @t112)) % 234.55/234.85 (define @t430 () (or @t152 @t237 @t429)) % 234.55/234.85 (define @t431 () (=> @t239 @t429)) % 234.55/234.85 (define @t432 () (= @t219 @t426)) % 234.55/234.85 (define @t433 () (or @t244 @t245 @t432)) % 234.55/234.85 (define @t434 () (forall @t9 @t430)) % 234.55/234.85 (define @t435 () (or @t244 @t249 @t432)) % 234.55/234.85 (define @t436 () (tptp.segmentP @t219 @t222)) % 234.55/234.85 (define @t437 () (tptp.segmentP @t222 tptp.nil)) % 234.55/234.85 (define @t438 () (or @t339 @t437)) % 234.55/234.85 (define @t439 () (not (= @t319 tptp.nil))) % 234.55/234.85 (define @t440 () (= @t324 @t439)) % 234.55/234.85 (define @t441 () (or @t328 @t268 @t440)) % 234.55/234.85 (define @t442 () (= tptp.nil @t319)) % 234.55/234.85 (define @t443 () (not @t442)) % 234.55/234.85 (define @t444 () (= @t324 @t443)) % 234.55/234.85 (define @t445 () (or @t328 @t268 @t444)) % 234.55/234.85 (define @t446 () (not @t324)) % 234.55/234.85 (define @t447 () (@list true false)) % 234.55/234.85 (define @t448 () (not @t444)) % 234.55/234.85 (define @t449 () (tptp.segmentP @t222 @t319)) % 234.55/234.85 (define @t450 () (= @t319 @t222)) % 234.55/234.85 (define @t451 () (not @t450)) % 234.55/234.85 (define @t452 () (tptp.neq @t319 @t222)) % 234.55/234.85 (define @t453 () (= @t452 @t451)) % 234.55/234.85 (define @t454 () (or @t328 @t339 @t453)) % 234.55/234.85 (define @t455 () (= @t2 @t18)) % 234.55/234.85 (define @t456 () (= @t21 (not (forall @t7 (or @t235 (not @t455)))))) % 234.55/234.85 (define @t457 () (and @t6 @t455)) % 234.55/234.85 (define @t458 () (forall @t7 (not @t457))) % 234.55/234.85 (define @t459 () (not @t458)) % 234.55/234.85 (define @t460 () (forall @t7 (or @t235 (not (= tptp.nil @t18))))) % 234.55/234.85 (define @t461 () (not @t460)) % 234.55/234.85 (define @t462 () (= @t88 @t461)) % 234.55/234.85 (define @t463 () (or @t268 @t462)) % 234.55/234.85 (define @t464 () (not @t462)) % 234.55/234.85 (define @t465 () (@list @t221)) % 234.55/234.85 (define @t466 () (not (= tptp.nil @t222))) % 234.55/234.85 (define @t467 () (or @t336 @t466)) % 234.55/234.85 (define @t468 () (not @t453)) % 234.55/234.85 (define @t469 () (tptp.strictorderedP @t222)) % 234.55/234.85 (define @t470 () (or @t336 @t469)) % 234.55/234.85 (define @t471 () (not @t469)) % 234.55/234.85 (define @t472 () (not @t449)) % 234.55/234.85 (define @t473 () (not @t436)) % 234.55/234.85 (define @t474 () (not @t452)) % 234.55/234.85 (define @t475 () (or @t339 @t474 @t473 @t472 @t471)) % 234.55/234.85 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 234.55/234.85 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 234.55/234.85 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 234.55/234.85 (assume @p4 @t24) % 234.55/234.85 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 234.55/234.85 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 234.55/234.85 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 234.55/234.85 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not (and @t32 @t31))))))))))))))))) % 234.55/234.85 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t32 @t31)))))))))))))))) % 234.55/234.85 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t41 (tptp.lt @t12 @t1))))))))))))))))) % 234.55/234.85 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32))))))))))))))) % 234.55/234.85 (assume @p12 (forall @t9 (=> @t17 (= @t42 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41))))))))))))))) % 234.55/234.85 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not @t43)))))))))))))))) % 234.55/234.85 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t43))))))))))))) % 234.55/234.85 (assume @p15 @t46) % 234.55/234.85 (assume @p16 @t51) % 234.55/234.85 (assume @p17 @t52) % 234.55/234.85 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 234.55/234.85 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t53))))))))))) % 234.55/234.85 (assume @p20 @t62) % 234.55/234.85 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 234.55/234.85 (assume @p22 @t68) % 234.55/234.85 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 234.55/234.85 (assume @p24 (forall @t9 (=> @t17 (=> @t65 (tptp.ssList @t69))))) % 234.55/234.85 (assume @p25 @t74) % 234.55/234.85 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t75)))))) % 234.55/234.85 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t76) (tptp.app @t54 @t2))))))))) % 234.55/234.85 (assume @p28 @t79) % 234.55/234.85 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t81 @t80) @t3)))))) % 234.55/234.85 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t81 @t32) (tptp.leq @t2 @t12))))))))) % 234.55/234.85 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 234.55/234.85 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t82 @t80)))))) % 234.55/234.85 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (not @t83))))))) % 234.55/234.85 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t84 @t41) @t85)))))))) % 234.55/234.85 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t86 @t83)))))) % 234.55/234.85 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t87))))))))) % 234.55/234.85 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t87))))))))) % 234.55/234.85 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 234.55/234.85 (assume @p39 (not @t88)) % 234.55/234.85 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 234.55/234.85 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 234.55/234.85 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 234.55/234.85 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 234.55/234.85 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 234.55/234.85 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 234.55/234.85 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t59)))) % 234.55/234.85 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 234.55/234.85 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 234.55/234.85 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 234.55/234.85 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t89 @t1))))))))) % 234.55/234.85 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 234.55/234.85 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t59)))) % 234.55/234.85 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 @t90) (tptp.segmentP @t2 @t12))))))))) % 234.55/234.85 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 @t91) @t3)))))) % 234.55/234.85 (assume @p55 @t93) % 234.55/234.85 (assume @p56 @t102) % 234.55/234.85 (assume @p57 @t104) % 234.55/234.85 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t59)))) % 234.55/234.85 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t105)))) % 234.55/234.85 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 234.55/234.85 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t105)))) % 234.55/234.85 (assume @p62 (tptp.totalorderP tptp.nil)) % 234.55/234.85 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t105)))) % 234.55/234.85 (assume @p64 (tptp.strictorderP tptp.nil)) % 234.55/234.85 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t105)))) % 234.55/234.85 (assume @p66 (tptp.totalorderedP tptp.nil)) % 234.55/234.85 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t109) (or @t107 (and @t108 (tptp.totalorderedP @t1) (tptp.leq @t2 @t106))))))))) % 234.55/234.85 (assume @p68 @t111) % 234.55/234.85 (assume @p69 (tptp.strictorderedP tptp.nil)) % 234.55/234.85 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t109) (or @t107 (and @t108 (tptp.strictorderedP @t1) (tptp.lt @t2 @t106))))))))) % 234.55/234.85 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t105)))) % 234.55/234.85 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 234.55/234.85 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t105)))) % 234.55/234.85 (assume @p74 (tptp.equalelemsP tptp.nil)) % 234.55/234.85 (assume @p75 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t6 (= @t63 @t1))))))) % 234.55/234.85 (assume @p76 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t27 (= @t69 @t1))))))) % 234.55/234.85 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t108 @t65 (= @t106 @t63) (= (tptp.tl @t1) @t69)) @t53)))))) % 234.55/234.85 (assume @p78 @t115) % 234.55/234.85 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t75) @t116)))))))) % 234.55/234.85 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t76) @t116)))))))) % 234.55/234.85 (assume @p81 @t120) % 234.55/234.85 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t75 @t12) (tptp.app @t2 @t25))))))))) % 234.55/234.85 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t75) (and @t107 @t59))))))) % 234.55/234.85 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 234.55/234.85 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.hd @t75) @t63))))))) % 234.55/234.85 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.tl @t75) (tptp.app @t69 @t1)))))))) % 234.55/234.85 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t82 (tptp.geq @t1 @t2)) @t3)))))) % 234.55/234.85 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t82 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 234.55/234.85 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 234.55/234.85 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 234.55/234.85 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t81 @t41) @t85)))))))) % 234.55/234.85 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (or @t3 @t84))))))) % 234.55/234.85 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t84 (and @t4 @t81))))))) % 234.55/234.85 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t86 (not (tptp.gt @t1 @t2)))))))) % 234.55/234.85 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t86 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 234.55/234.85 (assume @p96 @t143) % 234.55/234.85 (assume @p97 true) % 234.55/234.85 (step @p98 :rule evaluate :args ((= false true))) % 234.55/234.85 (step @p99 :rule aci_norm :args ((= @t154 (or @t152 @t151 @t150 @t149 @t148 @t147)))) % 234.55/234.85 (step @p100 :rule cong :premises (@p99) :args (@t155)) % 234.55/234.85 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t157) @t155))) % 234.55/234.85 (step @p102 :rule alpha_equiv :args (@t158 (@list @t144 @t146 @t145) (@list @t1 @t160 @t159))) % 234.55/234.85 (step @p103 :rule refl :args (@t152)) % 234.55/234.85 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t161)) % 234.55/234.85 (step @p105 :rule quant-miniscope-or :args ((= @t157 @t161))) % 234.55/234.85 (step @p106 :rule trans :premises (@p105 @p104)) % 234.55/234.85 (step @p107 :rule symm :premises (@p106)) % 234.55/234.85 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (or @t152 @t169)))) % 234.55/234.85 (step @p109 :rule trans :premises (@p108 @p101)) % 234.55/234.85 (step @p110 :rule trans :premises (@p109 @p100)) % 234.55/234.85 (step @p111 :rule bool-impl-elim :args (@t17 @t169)) % 234.55/234.85 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 (=> @t17 @t169)))) % 234.55/234.85 (step @p113 :rule trans :premises (@p112 @p110)) % 234.55/234.85 (step @p114 :rule aci_norm :args ((= @t171 @t167))) % 234.55/234.85 (step @p115 :rule cong :premises (@p114) :args (@t172)) % 234.55/234.85 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t174) @t172))) % 234.55/234.85 (step @p117 :rule alpha_equiv :args (@t175 (@list @t160 @t159) (@list @t12 @t176))) % 234.55/234.85 (step @p118 :rule refl :args (@t165)) % 234.55/234.85 (step @p119 :rule refl :args (@t166)) % 234.55/234.85 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t177)) % 234.55/234.85 (step @p121 :rule quant-miniscope-or :args ((= @t174 @t177))) % 234.55/234.85 (step @p122 :rule trans :premises (@p121 @p120)) % 234.55/234.85 (step @p123 :rule symm :premises (@p122)) % 234.55/234.85 (step @p124 :rule cong :premises (@p123) :args ((forall @t7 @t184))) % 234.55/234.85 (step @p125 :rule trans :premises (@p124 @p116)) % 234.55/234.85 (step @p126 :rule trans :premises (@p125 @p115)) % 234.55/234.85 (step @p127 :rule aci_norm :args ((= (or @t166 @t185) @t184))) % 234.55/234.85 (step @p128 :rule bool-impl-elim :args (@t27 @t185)) % 234.55/234.85 (step @p129 :rule trans :premises (@p128 @p127)) % 234.55/234.85 (step @p130 :rule cong :premises (@p129) :args ((forall @t7 (=> @t27 @t185)))) % 234.55/234.85 (step @p131 :rule trans :premises (@p130 @p126)) % 234.55/234.85 (step @p132 :rule aci_norm :args ((= @t187 @t181))) % 234.55/234.85 (step @p133 :rule cong :premises (@p132) :args (@t188)) % 234.55/234.85 (step @p134 :rule quant-merge-prenex :args ((= (forall @t16 @t190) @t188))) % 234.55/234.85 (step @p135 :rule alpha_equiv :args (@t191 (@list @t176) (@list @t10))) % 234.55/234.85 (step @p136 :rule refl :args (@t180)) % 234.55/234.85 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t192)) % 234.55/234.85 (step @p138 :rule quant-miniscope-or :args ((= @t190 @t192))) % 234.55/234.85 (step @p139 :rule trans :premises (@p138 @p137)) % 234.55/234.85 (step @p140 :rule symm :premises (@p139)) % 234.55/234.85 (step @p141 :rule cong :premises (@p140) :args (@t197)) % 234.55/234.85 (step @p142 :rule trans :premises (@p141 @p134)) % 234.55/234.85 (step @p143 :rule trans :premises (@p142 @p133)) % 234.55/234.85 (step @p144 :rule refl :args (@t165)) % 234.55/234.85 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t198)) % 234.55/234.85 (step @p146 :rule quant-miniscope-or :args ((= (forall @t16 @t199) @t198))) % 234.55/234.85 (step @p147 :rule aci_norm :args ((= @t200 @t199))) % 234.55/234.85 (step @p148 :rule cong :premises (@p147) :args ((forall @t16 @t200))) % 234.55/234.85 (step @p149 :rule trans :premises (@p148 @p146)) % 234.55/234.85 (step @p150 :rule trans :premises (@p149 @p145)) % 234.55/234.85 (step @p151 :rule aci_norm :args ((= (or @t180 @t201) @t200))) % 234.55/234.85 (step @p152 :rule bool-impl-elim :args (@t15 @t201)) % 234.55/234.85 (step @p153 :rule trans :premises (@p152 @p151)) % 234.55/234.85 (step @p154 :rule cong :premises (@p153) :args ((forall @t16 (=> @t15 @t201)))) % 234.55/234.85 (step @p155 :rule trans :premises (@p154 @p150)) % 234.55/234.85 (step @p156 :rule quant-miniscope-or :args ((= (forall @t14 @t202) @t201))) % 234.55/234.85 (step @p157 :rule aci_norm :args ((= @t203 @t202))) % 234.55/234.85 (step @p158 :rule cong :premises (@p157) :args ((forall @t14 @t203))) % 234.55/234.85 (step @p159 :rule trans :premises (@p158 @p156)) % 234.55/234.85 (step @p160 :rule aci_norm :args ((= (or @t193 (or @t165 @t94)) @t203))) % 234.55/234.85 (step @p161 :rule bool-impl-elim :args (@t30 @t94)) % 234.55/234.85 (step @p162 :rule refl :args (@t193)) % 234.55/234.85 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t193 @t95))) % 234.55/234.85 (step @p164 :rule trans :premises (@p163 @p160)) % 234.55/234.85 (step @p165 :rule bool-impl-elim :args (@t13 @t95)) % 234.55/234.85 (step @p166 :rule trans :premises (@p165 @p164)) % 234.55/234.85 (step @p167 :rule cong :premises (@p166) :args (@t96)) % 234.55/234.85 (step @p168 :rule trans :premises (@p167 @p159)) % 234.55/234.85 (step @p169 :rule refl :args (@t15)) % 234.55/234.85 (step @p170 :rule cong :premises (@p169 @p168) :args (@t97)) % 234.55/234.85 (step @p171 :rule cong :premises (@p170) :args (@t98)) % 234.55/234.85 (step @p172 :rule trans :premises (@p171 @p155)) % 234.55/234.85 (step @p173 :rule refl :args (@t27)) % 234.55/234.85 (step @p174 :rule cong :premises (@p173 @p172) :args (@t99)) % 234.55/234.85 (step @p175 :rule cong :premises (@p174) :args (@t100)) % 234.55/234.85 (step @p176 :rule trans :premises (@p175 @p131)) % 234.55/234.85 (step @p177 :rule refl :args (@t17)) % 234.55/234.85 (step @p178 :rule cong :premises (@p177 @p176) :args (@t101)) % 234.55/234.85 (step @p179 :rule cong :premises (@p178) :args (@t102)) % 234.55/234.85 (step @p180 :rule trans :premises (@p179 @p113)) % 234.55/234.85 (step @p181 :rule eq_resolve :premises (@p56 @p180)) % 234.55/234.85 (step @p182 :rule instantiate :premises (@p181) :args ((@list @t222 @t222 tptp.nil @t220))) % 234.55/234.85 (step @p183 :rule bool-impl-elim :args 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@t244 @t249 @t432 (not @t435)))) % 234.55/234.85 (step @p648 :rule chain_m_resolution :premises (@p647 @p419 @p431 @p645) :args (@t432 @t334 (@list @t243 @t249 @t435))) % 234.55/234.85 (step @p649 :rule trans :premises (@p648 @p618 @p594)) % 234.55/234.85 (step @p650 :rule cong :premises (@p649 @p581) :args (@t436)) % 234.55/234.85 (step @p651 :rule bool-double-not-elim :args (@t320)) % 234.55/234.85 (step @p652 :rule nary_cong :premises (@p414 @p651) :args ((or @t329 (not @t321)))) % 234.55/234.85 (step @p653 :rule cnf_or_neg :args (@t329 6)) % 234.55/234.85 (step @p654 :rule eq_resolve :premises (@p653 @p652)) % 234.55/234.85 (step @p655 :rule reordering :premises (@p654) :args ((or @t320 @t329))) % 234.55/234.85 (step @p656 :rule chain_m_resolution :premises (@p655 @p412) :args (@t320 @t330 @t331)) % 234.55/234.85 (step @p657 :rule instantiate :premises (@p656) :args (@t223)) % 234.55/234.85 (step @p658 :rule bool-impl-elim :args (@t17 @t103)) % 234.55/234.85 (step @p659 :rule cong :premises (@p658) :args (@t104)) % 234.55/234.85 (step @p660 :rule eq_resolve :premises (@p57 @p659)) % 234.55/234.85 (step @p661 :rule instantiate :premises (@p660) :args (@t223)) % 234.55/234.85 (step @p662 :rule cnf_or_pos :args (@t438)) % 234.55/234.85 (step @p663 :rule reordering :premises (@p662) :args ((or @t339 @t437 (not @t438)))) % 234.55/234.85 (step @p664 :rule chain_m_resolution :premises (@p663 @p437 @p661) :args (@t437 @t333 (@list @t335 @t438))) % 234.55/234.85 (step @p665 :rule true_intro :premises (@p664)) % 234.55/234.85 (step @p666 :rule eq-symm :args (@t319 tptp.nil)) % 234.55/234.85 (step @p667 :rule cong :premises (@p666) :args (@t439)) % 234.55/234.85 (step @p668 :rule refl :args (@t324)) % 234.55/234.85 (step @p669 :rule cong :premises (@p668 @p667) :args (@t440)) % 234.55/234.85 (step @p670 :rule refl :args (@t328)) % 234.55/234.85 (step @p671 :rule nary_cong :premises (@p670 @p263 @p669) :args (@t441)) % 234.55/234.85 (step @p672 :rule cong :premises (@p265 @p671) :args ((=> @t270 @t441))) % 234.55/234.85 (assume-push @p784 @t270) % 234.55/234.85 (step @p674 :rule instantiate :premises (@p259) :args ((@list @t319 tptp.nil))) % 234.55/234.85 (step-pop @p785 :rule scope :premises (@p674)) % 234.55/234.85 (step @p675 :rule process_scope :premises (@p785) :args (@t441)) % 234.55/234.85 (step @p677 :rule eq_resolve :premises (@p675 @p672)) % 234.55/234.85 (step @p678 :rule implies_elim :premises (@p677)) % 234.55/234.85 (step @p679 :rule chain_m_resolution :premises (@p678 @p259) :args (@t445 @t251 @t274)) % 234.55/234.85 (step @p680 :rule bool-double-not-elim :args (@t327)) % 234.55/234.85 (step @p681 :rule nary_cong :premises (@p414 @p680) :args ((or @t329 (not @t328)))) % 234.55/234.85 (step @p682 :rule cnf_or_neg :args (@t329 0)) % 234.55/234.85 (step @p683 :rule eq_resolve :premises (@p682 @p681)) % 234.55/234.85 (step @p684 :rule reordering :premises (@p683) :args ((or @t327 @t329))) % 234.55/234.85 (step @p685 :rule chain_m_resolution :premises (@p684 @p412) :args (@t327 @t330 @t331)) % 234.55/234.85 (step @p686 :rule cnf_or_pos :args (@t445)) % 234.55/234.85 (step @p687 :rule reordering :premises (@p686) :args ((or @t268 @t328 @t444 (not @t445)))) % 234.55/234.85 (step @p688 :rule chain_m_resolution :premises (@p687 @p17 @p685 @p679) :args (@t444 @t332 (@list @t52 @t327 @t445))) % 234.55/234.85 (step @p689 :rule bool-double-not-elim :args (@t322)) % 234.55/234.85 (step @p690 :rule nary_cong :premises (@p414 @p689) :args ((or @t329 (not @t323)))) % 234.55/234.85 (step @p691 :rule cnf_or_neg :args (@t329 5)) % 234.55/234.85 (step @p692 :rule eq_resolve :premises (@p691 @p690)) % 234.55/234.85 (step @p693 :rule reordering :premises (@p692) :args ((or @t322 @t329))) % 234.55/234.85 (step @p694 :rule chain_m_resolution :premises (@p693 @p412) :args (@t322 @t330 @t331)) % 234.55/234.85 (step @p695 :rule cnf_or_neg :args (@t329 4)) % 234.55/234.85 (step @p696 :rule chain_m_resolution :premises (@p695 @p412) :args ((not @t325) @t330 @t331)) % 234.55/234.85 (step @p697 :rule cnf_and_neg :args (@t325)) % 234.55/234.85 (step @p698 :rule reordering :premises (@p697) :args ((or @t325 @t323 @t446))) % 234.55/234.85 (step @p699 :rule chain_m_resolution :premises (@p698 @p696 @p694) :args (@t446 @t447 (@list @t325 @t322))) % 234.55/234.85 (step @p700 :rule bool-double-not-elim :args (@t442)) % 234.55/234.85 (step @p701 :rule refl :args (@t448)) % 234.55/234.85 (step @p702 :rule nary_cong :premises (@p701 @p668 @p700) :args ((or @t448 @t324 (not @t443)))) % 234.55/234.85 (step @p703 :rule cnf_equiv_pos2 :args (@t444)) % 234.55/234.85 (step @p704 :rule eq_resolve :premises (@p703 @p702)) % 234.55/234.85 (step @p705 :rule reordering :premises (@p704) :args ((or @t324 @t442 @t448))) % 234.55/234.85 (step @p706 :rule chain_m_resolution :premises (@p705 @p699 @p688) :args (@t442 @t447 (@list @t324 @t444))) % 234.55/234.85 (step @p707 :rule symm :premises (@p706)) % 234.55/234.85 (step @p708 :rule cong :premises (@p581 @p707) :args (@t449)) % 234.55/234.85 (step @p709 :rule trans :premises (@p708 @p665)) % 234.55/234.85 (step @p710 :rule true_elim :premises (@p709)) % 234.55/234.85 (step @p711 :rule instantiate :premises (@p259) :args ((@list @t319 @t222))) % 234.55/234.85 (step @p712 :rule cnf_or_pos :args (@t454)) % 234.55/234.85 (step @p713 :rule reordering :premises (@p712) :args ((or @t328 @t339 @t453 (not @t454)))) % 234.55/234.85 (step @p714 :rule chain_m_resolution :premises (@p713 @p685 @p437 @p711) :args (@t453 @t332 (@list @t327 @t335 @t454))) % 234.55/234.85 (step @p715 :rule bool-impl-elim :args (@t17 @t456)) % 234.55/234.85 (step @p716 :rule cong :premises (@p715) :args ((forall @t9 (=> @t17 @t456)))) % 234.55/234.85 (step @p717 :rule bool-and-de-morgan :args (@t6 @t455 true)) % 234.55/234.85 (step @p718 :rule cong :premises (@p717) :args (@t458)) % 234.55/234.85 (step @p719 :rule cong :premises (@p718) :args (@t459)) % 234.55/234.85 (step @p720 :rule exists-elim :args ((= (exists @t7 @t457) @t459))) % 234.55/234.85 (step @p721 :rule trans :premises (@p720 @p719)) % 234.55/234.85 (step @p722 :rule eq-symm :args (@t18 @t2)) % 234.55/234.85 (step @p723 :rule nary_cong :premises (@p546 @p722) :args (@t19)) % 234.55/234.85 (step @p724 :rule cong :premises (@p723) :args (@t20)) % 234.55/234.85 (step @p725 :rule trans :premises (@p724 @p721)) % 234.55/234.85 (step @p726 :rule refl :args (@t21)) % 234.55/234.85 (step @p727 :rule cong :premises (@p726 @p725) :args (@t22)) % 234.55/234.85 (step @p728 :rule cong :premises (@p177 @p727) :args (@t23)) % 234.55/234.85 (step @p729 :rule cong :premises (@p728) :args (@t24)) % 234.55/234.85 (step @p730 :rule trans :premises (@p729 @p716)) % 234.55/234.85 (step @p731 :rule eq_resolve :premises (@p4 @p730)) % 234.55/234.85 (step @p732 :rule instantiate :premises (@p731) :args ((@list tptp.nil))) % 234.55/234.85 (step @p733 :rule cnf_or_pos :args (@t463)) % 234.55/234.85 (step @p734 :rule reordering :premises (@p733) :args ((or @t268 @t462 (not @t463)))) % 234.55/234.85 (step @p735 :rule chain_m_resolution :premises (@p734 @p17 @p732) :args (@t462 @t333 (@list @t52 @t463))) % 234.55/234.85 (step @p736 :rule bool-double-not-elim :args (@t460)) % 234.55/234.85 (step @p737 :rule refl :args (@t88)) % 234.55/234.85 (step @p738 :rule refl :args (@t464)) % 234.55/234.85 (step @p739 :rule nary_cong :premises (@p738 @p737 @p736) :args ((or @t464 @t88 (not @t461)))) % 234.55/234.85 (step @p740 :rule cnf_equiv_pos2 :args (@t462)) % 234.55/234.85 (step @p741 :rule eq_resolve :premises (@p740 @p739)) % 234.55/234.85 (step @p742 :rule reordering :premises (@p741) :args ((or @t88 @t460 @t464))) % 234.55/234.85 (step @p743 :rule chain_m_resolution :premises (@p742 @p39 @p735) :args (@t460 @t447 (@list @t88 @t462))) % 234.55/234.85 (step @p744 :rule instantiate :premises (@p743) :args (@t465)) % 234.55/234.85 (step @p745 :rule cnf_or_pos :args (@t467)) % 234.55/234.85 (step @p746 :rule reordering :premises (@p745) :args ((or @t336 @t466 (not @t467)))) % 234.55/234.85 (step @p747 :rule chain_m_resolution :premises (@p746 @p434 @p744) :args (@t466 @t333 (@list @t242 @t467))) % 234.55/234.85 (step @p748 :rule false_intro :premises (@p747)) % 234.55/234.85 (step @p749 :rule cong :premises (@p707 @p581) :args (@t450)) % 234.55/234.85 (step @p750 :rule trans :premises (@p749 @p748)) % 234.55/234.85 (step @p751 :rule false_elim :premises (@p750)) % 234.55/234.85 (step @p752 :rule bool-double-not-elim :args (@t450)) % 234.55/234.85 (step @p753 :rule refl :args (@t452)) % 234.55/234.85 (step @p754 :rule refl :args (@t468)) % 234.55/234.85 (step @p755 :rule nary_cong :premises (@p754 @p753 @p752) :args ((or @t468 @t452 (not @t451)))) % 234.55/234.85 (step @p756 :rule cnf_equiv_pos2 :args (@t453)) % 234.55/234.85 (step @p757 :rule eq_resolve :premises (@p756 @p755)) % 234.55/234.85 (step @p758 :rule reordering :premises (@p757) :args ((or @t452 @t450 @t468))) % 234.55/234.85 (step @p759 :rule chain_m_resolution :premises (@p758 @p751 @p714) :args (@t452 @t447 (@list @t450 @t453))) % 234.55/234.85 (step @p760 :rule bool-impl-elim :args (@t8 @t110)) % 234.55/234.85 (step @p761 :rule cong :premises (@p760) :args (@t111)) % 234.55/234.85 (step @p762 :rule eq_resolve :premises (@p68 @p761)) % 234.55/234.85 (step @p763 :rule instantiate :premises (@p762) :args (@t465)) % 234.55/234.85 (step @p764 :rule cnf_or_pos :args (@t470)) % 234.55/234.85 (step @p765 :rule reordering :premises (@p764) :args ((or @t336 @t469 (not @t470)))) % 234.55/234.85 (step @p766 :rule chain_m_resolution :premises (@p765 @p434 @p763) :args (@t469 @t333 (@list @t242 @t470))) % 234.55/234.85 (step @p767 :rule cnf_or_pos :args (@t475)) % 234.55/234.85 (step @p768 :rule reordering :premises (@p767) :args ((or @t471 @t339 @t474 @t473 @t472 (not @t475)))) % 234.55/234.85 (step @p769 :rule chain_m_resolution :premises (@p768 @p766 @p437 @p759 @p710 @p657) :args (@t473 @t410 (@list @t469 @t335 @t452 @t449 @t475))) % 234.55/234.85 (step @p770 :rule false_intro :premises (@p769)) % 234.55/234.85 (step @p771 :rule symm :premises (@p770)) % 234.55/234.85 (step @p772 :rule trans :premises (@p771 @p650 @p580)) % 234.55/234.85 (step @p773 false :rule eq_resolve :premises (@p772 @p98)) % 234.55/234.85 ) % 234.55/234.85 % SZS output end Proof % 234.55/234.86 % cvc5 exiting %------------------------------------------------------------------------------