%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC261+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 : n016.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 08:58:38 AM UTC 2026 % Result : Theorem 240.70s 240.96s % Output : Proof 240.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWC261+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n016.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 19:34:39 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 240.70/240.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 240.70/240.96 --- Run --no-e-matching --full-saturate-quant at 6... % 240.70/240.96 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 240.70/240.96 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 240.70/240.96 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 240.70/240.96 --- Run --trigger-sel=max --full-saturate-quant at 15... % 240.70/240.96 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 240.70/240.96 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 240.70/240.96 --- Run --prenex-quant=none --full-saturate-quant at 30... % 240.70/240.96 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 240.70/240.96 --- Run --relevant-triggers --full-saturate-quant at 30... % 240.70/240.96 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 240.70/240.96 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 240.70/240.96 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 240.70/240.96 % SZS status Theorem % 240.70/240.96 % SZS output start Proof % 240.70/240.96 ( % 240.70/240.96 (declare-sort $$unsorted 0) % 240.70/240.96 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 240.70/240.96 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 240.70/240.96 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 240.70/240.96 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 240.70/240.96 (declare-const tptp.nil $$unsorted) % 240.70/240.96 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.ssList (-> $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 240.70/240.96 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 240.70/240.96 (define @t1 () (@var "V" $$unsorted)) % 240.70/240.96 (define @t2 () (@var "U" $$unsorted)) % 240.70/240.96 (define @t3 () (= @t2 @t1)) % 240.70/240.96 (define @t4 () (not @t3)) % 240.70/240.96 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 240.70/240.96 (define @t6 () (tptp.ssItem @t1)) % 240.70/240.96 (define @t7 () (@list @t1)) % 240.70/240.96 (define @t8 () (tptp.ssItem @t2)) % 240.70/240.96 (define @t9 () (@list @t2)) % 240.70/240.96 (define @t10 () (@var "X" $$unsorted)) % 240.70/240.96 (define @t11 () (tptp.cons @t1 @t10)) % 240.70/240.96 (define @t12 () (@var "W" $$unsorted)) % 240.70/240.96 (define @t13 () (tptp.app @t12 @t11)) % 240.70/240.96 (define @t14 () (tptp.ssList @t10)) % 240.70/240.96 (define @t15 () (and @t14 (= @t13 @t2))) % 240.70/240.96 (define @t16 () (@list @t10)) % 240.70/240.96 (define @t17 () (exists @t16 @t15)) % 240.70/240.96 (define @t18 () (tptp.ssList @t12)) % 240.70/240.96 (define @t19 () (and @t18 @t17)) % 240.70/240.96 (define @t20 () (@list @t12)) % 240.70/240.96 (define @t21 () (exists @t20 @t19)) % 240.70/240.96 (define @t22 () (tptp.memberP @t2 @t1)) % 240.70/240.96 (define @t23 () (= @t22 @t21)) % 240.70/240.96 (define @t24 () (=> @t6 @t23)) % 240.70/240.96 (define @t25 () (forall @t7 @t24)) % 240.70/240.96 (define @t26 () (tptp.ssList @t2)) % 240.70/240.96 (define @t27 () (=> @t26 @t25)) % 240.70/240.96 (define @t28 () (forall @t9 @t27)) % 240.70/240.96 (define @t29 () (tptp.cons @t1 tptp.nil)) % 240.70/240.96 (define @t30 () (tptp.app @t1 @t12)) % 240.70/240.96 (define @t31 () (tptp.frontsegP @t2 @t1)) % 240.70/240.96 (define @t32 () (tptp.ssList @t1)) % 240.70/240.96 (define @t33 () (tptp.app @t12 @t1)) % 240.70/240.96 (define @t34 () (tptp.rearsegP @t2 @t1)) % 240.70/240.96 (define @t35 () (tptp.segmentP @t2 @t1)) % 240.70/240.96 (define @t36 () (tptp.leq @t12 @t1)) % 240.70/240.96 (define @t37 () (tptp.leq @t1 @t12)) % 240.70/240.96 (define @t38 () (@var "Z" $$unsorted)) % 240.70/240.96 (define @t39 () (@var "Y" $$unsorted)) % 240.70/240.96 (define @t40 () (tptp.app @t10 (tptp.cons @t1 @t39))) % 240.70/240.96 (define @t41 () (tptp.app @t40 (tptp.cons @t12 @t38))) % 240.70/240.96 (define @t42 () (= @t41 @t2)) % 240.70/240.96 (define @t43 () (tptp.ssList @t38)) % 240.70/240.96 (define @t44 () (@list @t38)) % 240.70/240.96 (define @t45 () (tptp.ssList @t39)) % 240.70/240.96 (define @t46 () (@list @t39)) % 240.70/240.96 (define @t47 () (tptp.ssItem @t12)) % 240.70/240.96 (define @t48 () (tptp.lt @t1 @t12)) % 240.70/240.96 (define @t49 () (=> @t42 @t37)) % 240.70/240.96 (define @t50 () (=> @t43 @t49)) % 240.70/240.96 (define @t51 () (forall @t44 @t50)) % 240.70/240.96 (define @t52 () (=> @t45 @t51)) % 240.70/240.96 (define @t53 () (forall @t46 @t52)) % 240.70/240.96 (define @t54 () (=> @t14 @t53)) % 240.70/240.96 (define @t55 () (forall @t16 @t54)) % 240.70/240.96 (define @t56 () (=> @t47 @t55)) % 240.70/240.96 (define @t57 () (forall @t20 @t56)) % 240.70/240.96 (define @t58 () (=> @t6 @t57)) % 240.70/240.96 (define @t59 () (forall @t7 @t58)) % 240.70/240.96 (define @t60 () (tptp.totalorderedP @t2)) % 240.70/240.96 (define @t61 () (= @t60 @t59)) % 240.70/240.96 (define @t62 () (=> @t26 @t61)) % 240.70/240.96 (define @t63 () (forall @t9 @t62)) % 240.70/240.96 (define @t64 () (= @t1 @t12)) % 240.70/240.96 (define @t65 () (tptp.cons @t1 @t2)) % 240.70/240.96 (define @t66 () (tptp.ssList @t65)) % 240.70/240.96 (define @t67 () (forall @t7 (=> @t6 @t66))) % 240.70/240.96 (define @t68 () (=> @t26 @t67)) % 240.70/240.96 (define @t69 () (forall @t9 @t68)) % 240.70/240.96 (define @t70 () (= @t1 @t2)) % 240.70/240.96 (define @t71 () (tptp.cons @t12 @t1)) % 240.70/240.96 (define @t72 () (= tptp.nil @t2)) % 240.70/240.96 (define @t73 () (tptp.hd @t2)) % 240.70/240.96 (define @t74 () (not @t72)) % 240.70/240.96 (define @t75 () (tptp.tl @t2)) % 240.70/240.96 (define @t76 () (tptp.app @t2 @t1)) % 240.70/240.96 (define @t77 () (tptp.ssList @t76)) % 240.70/240.96 (define @t78 () (forall @t7 (=> @t32 @t77))) % 240.70/240.96 (define @t79 () (=> @t26 @t78)) % 240.70/240.96 (define @t80 () (forall @t9 @t79)) % 240.70/240.96 (define @t81 () (tptp.app @t1 @t2)) % 240.70/240.96 (define @t82 () (= (tptp.cons @t12 @t81) (tptp.app @t71 @t2))) % 240.70/240.96 (define @t83 () (forall @t20 (=> @t47 @t82))) % 240.70/240.96 (define @t84 () (=> @t32 @t83)) % 240.70/240.96 (define @t85 () (forall @t7 @t84)) % 240.70/240.96 (define @t86 () (=> @t26 @t85)) % 240.70/240.96 (define @t87 () (forall @t9 @t86)) % 240.70/240.96 (define @t88 () (tptp.leq @t1 @t2)) % 240.70/240.96 (define @t89 () (tptp.leq @t2 @t1)) % 240.70/240.96 (define @t90 () (tptp.leq @t2 @t2)) % 240.70/240.96 (define @t91 () (forall @t9 (=> @t8 @t90))) % 240.70/240.96 (define @t92 () (tptp.geq @t2 @t1)) % 240.70/240.96 (define @t93 () (tptp.lt @t1 @t2)) % 240.70/240.96 (define @t94 () (tptp.lt @t2 @t1)) % 240.70/240.96 (define @t95 () (tptp.lt @t2 @t12)) % 240.70/240.96 (define @t96 () (tptp.gt @t2 @t1)) % 240.70/240.96 (define @t97 () (tptp.memberP @t12 @t2)) % 240.70/240.96 (define @t98 () (tptp.app @t12 @t2)) % 240.70/240.96 (define @t99 () (tptp.cons @t2 tptp.nil)) % 240.70/240.96 (define @t100 () (tptp.hd @t1)) % 240.70/240.96 (define @t101 () (= tptp.nil @t1)) % 240.70/240.96 (define @t102 () (not @t101)) % 240.70/240.96 (define @t103 () (tptp.cons @t2 @t1)) % 240.70/240.96 (define @t104 () (= @t12 @t2)) % 240.70/240.96 (define @t105 () (= (tptp.app @t76 @t12) (tptp.app @t2 @t30))) % 240.70/240.96 (define @t106 () (forall @t20 (=> @t18 @t105))) % 240.70/240.96 (define @t107 () (=> @t32 @t106)) % 240.70/240.96 (define @t108 () (forall @t7 @t107)) % 240.70/240.96 (define @t109 () (=> @t26 @t108)) % 240.70/240.96 (define @t110 () (forall @t9 @t109)) % 240.70/240.96 (define @t111 () (tptp.memberP @t12 @t38)) % 240.70/240.96 (define @t112 () (= @t39 @t38)) % 240.70/240.96 (define @t113 () (not @t112)) % 240.70/240.96 (define @t114 () (tptp.ssItem @t38)) % 240.70/240.96 (define @t115 () (and @t114 @t113 @t111)) % 240.70/240.96 (define @t116 () (exists @t44 @t115)) % 240.70/240.96 (define @t117 () (tptp.ssItem @t39)) % 240.70/240.96 (define @t118 () (=> @t117 @t116)) % 240.70/240.96 (define @t119 () (forall @t46 @t118)) % 240.70/240.96 (define @t120 () (not (= @t2 @t12))) % 240.70/240.96 (define @t121 () (not (= @t1 @t10))) % 240.70/240.96 (define @t122 () (not @t14)) % 240.70/240.96 (define @t123 () (or @t122 @t121 @t120 @t119 @t60)) % 240.70/240.96 (define @t124 () (forall @t16 @t123)) % 240.70/240.96 (define @t125 () (=> @t18 @t124)) % 240.70/240.96 (define @t126 () (forall @t20 @t125)) % 240.70/240.96 (define @t127 () (=> @t32 @t126)) % 240.70/240.96 (define @t128 () (forall @t7 @t127)) % 240.70/240.96 (define @t129 () (=> @t26 @t128)) % 240.70/240.96 (define @t130 () (forall @t9 @t129)) % 240.70/240.96 (define @t131 () (not @t130)) % 240.70/240.96 (define @t132 () (@var "BOUND_VARIABLE_8788" $$unsorted)) % 240.70/240.96 (define @t133 () (@var "BOUND_VARIABLE_8782" $$unsorted)) % 240.70/240.96 (define @t134 () (@var "BOUND_VARIABLE_8786" $$unsorted)) % 240.70/240.96 (define @t135 () (@var "BOUND_VARIABLE_8784" $$unsorted)) % 240.70/240.96 (define @t136 () (tptp.app (tptp.app @t135 (tptp.cons @t1 @t134)) (tptp.cons @t133 @t132))) % 240.70/240.96 (define @t137 () (not (= @t2 @t136))) % 240.70/240.96 (define @t138 () (not (tptp.ssList @t132))) % 240.70/240.96 (define @t139 () (not (tptp.ssList @t134))) % 240.70/240.96 (define @t140 () (not (tptp.ssList @t135))) % 240.70/240.96 (define @t141 () (tptp.leq @t1 @t133)) % 240.70/240.96 (define @t142 () (not (tptp.ssItem @t133))) % 240.70/240.96 (define @t143 () (not @t6)) % 240.70/240.96 (define @t144 () (or @t143 @t142 @t141 @t140 @t139 @t138 @t137)) % 240.70/240.96 (define @t145 () (@list @t1 @t133 @t135 @t134 @t132)) % 240.70/240.96 (define @t146 () (= @t60 (forall @t145 @t144))) % 240.70/240.96 (define @t147 () (or @t142 @t141 @t140 @t139 @t138 @t137)) % 240.70/240.96 (define @t148 () (or @t143 @t147)) % 240.70/240.96 (define @t149 () (forall @t145 @t148)) % 240.70/240.96 (define @t150 () (@list @t133 @t135 @t134 @t132)) % 240.70/240.96 (define @t151 () (forall @t150 @t148)) % 240.70/240.96 (define @t152 () (forall @t150 @t147)) % 240.70/240.96 (define @t153 () (@var "BOUND_VARIABLE_8758" $$unsorted)) % 240.70/240.96 (define @t154 () (@var "BOUND_VARIABLE_8756" $$unsorted)) % 240.70/240.96 (define @t155 () (@var "BOUND_VARIABLE_8754" $$unsorted)) % 240.70/240.96 (define @t156 () (or @t143 @t152)) % 240.70/240.96 (define @t157 () (not (= @t2 (tptp.app (tptp.app @t155 (tptp.cons @t1 @t154)) (tptp.cons @t12 @t153))))) % 240.70/240.96 (define @t158 () (not (tptp.ssList @t153))) % 240.70/240.96 (define @t159 () (not (tptp.ssList @t154))) % 240.70/240.96 (define @t160 () (not (tptp.ssList @t155))) % 240.70/240.96 (define @t161 () (not @t47)) % 240.70/240.96 (define @t162 () (or @t161 @t37 @t160 @t159 @t158 @t157)) % 240.70/240.96 (define @t163 () (@list @t12 @t155 @t154 @t153)) % 240.70/240.96 (define @t164 () (forall @t163 @t162)) % 240.70/240.96 (define @t165 () (or @t160 @t159 @t158 @t157)) % 240.70/240.96 (define @t166 () (or @t161 @t37 @t165)) % 240.70/240.96 (define @t167 () (forall @t163 @t166)) % 240.70/240.96 (define @t168 () (@list @t155 @t154 @t153)) % 240.70/240.96 (define @t169 () (forall @t168 @t166)) % 240.70/240.96 (define @t170 () (forall @t168 @t165)) % 240.70/240.96 (define @t171 () (@var "BOUND_VARIABLE_8467" $$unsorted)) % 240.70/240.96 (define @t172 () (@var "BOUND_VARIABLE_8465" $$unsorted)) % 240.70/240.96 (define @t173 () (or @t161 @t37 @t170)) % 240.70/240.96 (define @t174 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t172)) (tptp.cons @t12 @t171))))) % 240.70/240.96 (define @t175 () (not (tptp.ssList @t171))) % 240.70/240.96 (define @t176 () (not (tptp.ssList @t172))) % 240.70/240.96 (define @t177 () (or @t122 @t176 @t175 @t174)) % 240.70/240.96 (define @t178 () (@list @t10 @t172 @t171)) % 240.70/240.96 (define @t179 () (forall @t178 @t177)) % 240.70/240.96 (define @t180 () (or @t161 @t37 @t179)) % 240.70/240.96 (define @t181 () (or @t37 @t179)) % 240.70/240.96 (define @t182 () (or @t176 @t175 @t174)) % 240.70/240.96 (define @t183 () (or @t122 @t182)) % 240.70/240.96 (define @t184 () (forall @t178 @t183)) % 240.70/240.96 (define @t185 () (@list @t172 @t171)) % 240.70/240.96 (define @t186 () (forall @t185 @t183)) % 240.70/240.96 (define @t187 () (forall @t185 @t182)) % 240.70/240.96 (define @t188 () (@var "BOUND_VARIABLE_8443" $$unsorted)) % 240.70/240.96 (define @t189 () (or @t122 @t187)) % 240.70/240.96 (define @t190 () (not (= @t2 (tptp.app @t40 (tptp.cons @t12 @t188))))) % 240.70/240.96 (define @t191 () (not (tptp.ssList @t188))) % 240.70/240.96 (define @t192 () (not @t45)) % 240.70/240.96 (define @t193 () (or @t192 @t191 @t190)) % 240.70/240.96 (define @t194 () (@list @t39 @t188)) % 240.70/240.96 (define @t195 () (forall @t194 @t193)) % 240.70/240.96 (define @t196 () (or @t122 @t195)) % 240.70/240.96 (define @t197 () (forall @t16 @t196)) % 240.70/240.96 (define @t198 () (or @t37 @t197)) % 240.70/240.96 (define @t199 () (or @t37 @t196)) % 240.70/240.96 (define @t200 () (or @t122 @t37 @t195)) % 240.70/240.96 (define @t201 () (or @t37 @t195)) % 240.70/240.96 (define @t202 () (or @t191 @t190)) % 240.70/240.96 (define @t203 () (or @t192 @t202)) % 240.70/240.96 (define @t204 () (forall @t194 @t203)) % 240.70/240.96 (define @t205 () (@list @t188)) % 240.70/240.96 (define @t206 () (forall @t205 @t203)) % 240.70/240.96 (define @t207 () (forall @t205 @t202)) % 240.70/240.96 (define @t208 () (or @t192 @t207)) % 240.70/240.96 (define @t209 () (= @t2 @t41)) % 240.70/240.96 (define @t210 () (not @t209)) % 240.70/240.96 (define @t211 () (not @t43)) % 240.70/240.96 (define @t212 () (or @t211 @t210)) % 240.70/240.96 (define @t213 () (forall @t44 @t212)) % 240.70/240.96 (define @t214 () (or @t192 @t213)) % 240.70/240.96 (define @t215 () (forall @t46 @t214)) % 240.70/240.96 (define @t216 () (or @t37 @t215)) % 240.70/240.96 (define @t217 () (or @t37 @t214)) % 240.70/240.96 (define @t218 () (or @t192 @t37 @t213)) % 240.70/240.96 (define @t219 () (or @t37 @t213)) % 240.70/240.96 (define @t220 () (or @t37 @t212)) % 240.70/240.96 (define @t221 () (or @t211 @t210 @t37)) % 240.70/240.96 (define @t222 () (=> @t209 @t37)) % 240.70/240.96 (define @t223 () (not (tptp.memberP @t2 @t38))) % 240.70/240.96 (define @t224 () (@var "BOUND_VARIABLE_10996" $$unsorted)) % 240.70/240.96 (define @t225 () (not @t114)) % 240.70/240.96 (define @t226 () (not (forall @t44 (or @t225 (= @t38 @t224) @t223)))) % 240.70/240.96 (define @t227 () (not (tptp.ssItem @t224))) % 240.70/240.96 (define @t228 () (not @t26)) % 240.70/240.96 (define @t229 () (or @t228 @t60 @t227 @t226)) % 240.70/240.96 (define @t230 () (@list @t2 @t224)) % 240.70/240.96 (define @t231 () (forall @t230 @t229)) % 240.70/240.96 (define @t232 () (@quantifiers_skolemize @t231 0)) % 240.70/240.96 (define @t233 () (not (= @t232 @t136))) % 240.70/240.96 (define @t234 () (or @t143 @t142 @t141 @t140 @t139 @t138 @t233)) % 240.70/240.96 (define @t235 () (forall @t145 @t234)) % 240.70/240.96 (define @t236 () (tptp.totalorderedP @t232)) % 240.70/240.96 (define @t237 () (= @t236 @t235)) % 240.70/240.96 (define @t238 () (tptp.ssList @t232)) % 240.70/240.96 (define @t239 () (not @t238)) % 240.70/240.96 (define @t240 () (or @t239 @t237)) % 240.70/240.96 (define @t241 () (forall @t9 (or @t228 @t146))) % 240.70/240.96 (define @t242 () (forall @t145 (or @t143 @t142 @t141 @t140 @t139 @t138 (not (= @t136 @t232))))) % 240.70/240.96 (define @t243 () (= @t236 @t242)) % 240.70/240.96 (define @t244 () (or @t239 @t243)) % 240.70/240.96 (define @t245 () (@list false)) % 240.70/240.96 (define @t246 () (or @t227 @t226)) % 240.70/240.96 (define @t247 () (or @t228 @t60 @t246)) % 240.70/240.96 (define @t248 () (forall @t230 @t247)) % 240.70/240.96 (define @t249 () (@list @t224)) % 240.70/240.96 (define @t250 () (forall @t249 @t247)) % 240.70/240.96 (define @t251 () (forall @t249 @t246)) % 240.70/240.96 (define @t252 () (@var "BOUND_VARIABLE_10946" $$unsorted)) % 240.70/240.96 (define @t253 () (@list @t252)) % 240.70/240.96 (define @t254 () (or @t228 @t60 @t251)) % 240.70/240.96 (define @t255 () (= @t38 @t252)) % 240.70/240.96 (define @t256 () (not (forall @t44 (or @t225 @t255 @t223)))) % 240.70/240.96 (define @t257 () (not (tptp.ssItem @t252))) % 240.70/240.96 (define @t258 () (or @t257 @t256)) % 240.70/240.96 (define @t259 () (@list @t252)) % 240.70/240.96 (define @t260 () (forall @t259 @t258)) % 240.70/240.96 (define @t261 () (or @t228 @t60 @t260)) % 240.70/240.96 (define @t262 () (forall @t9 @t261)) % 240.70/240.96 (define @t263 () (not @t32)) % 240.70/240.96 (define @t264 () (forall @t7 @t263)) % 240.70/240.96 (define @t265 () (or @t264 @t262)) % 240.70/240.96 (define @t266 () (or @t264 @t261)) % 240.70/240.96 (define @t267 () (or @t228 @t60 @t260 @t264)) % 240.70/240.96 (define @t268 () (or @t60 @t228 @t260 @t264)) % 240.70/240.96 (define @t269 () (or @t60 @t228 @t260 @t263)) % 240.70/240.96 (define @t270 () (or @t263 @t60 @t228 @t260)) % 240.70/240.96 (define @t271 () (or @t60 @t263 @t228 @t260)) % 240.70/240.96 (define @t272 () (or @t228 @t260)) % 240.70/240.96 (define @t273 () (or @t228 @t258)) % 240.70/240.96 (define @t274 () (or @t228 @t257 @t256)) % 240.70/240.96 (define @t275 () (not (= @t2 @t2))) % 240.70/240.96 (define @t276 () (or @t228 @t275 @t257 @t256)) % 240.70/240.96 (define @t277 () (not @t111)) % 240.70/240.96 (define @t278 () (not (forall @t44 (or @t225 @t255 @t277)))) % 240.70/240.96 (define @t279 () (not @t18)) % 240.70/240.96 (define @t280 () (or @t120 @t279 @t120 @t257 @t278)) % 240.70/240.96 (define @t281 () (or @t279 @t120 @t257 @t278)) % 240.70/240.96 (define @t282 () (forall @t20 @t281)) % 240.70/240.96 (define @t283 () (forall @t259 @t282)) % 240.70/240.96 (define @t284 () (forall (@list @t252 @t12) @t281)) % 240.70/240.96 (define @t285 () (@list @t12 @t252)) % 240.70/240.96 (define @t286 () (or @t225 (= @t252 @t38) @t277)) % 240.70/240.96 (define @t287 () (forall @t44 @t286)) % 240.70/240.96 (define @t288 () (not @t287)) % 240.70/240.96 (define @t289 () (or @t279 @t120 @t257 @t288)) % 240.70/240.96 (define @t290 () (or @t257 @t288)) % 240.70/240.96 (define @t291 () (or @t279 @t120 @t290)) % 240.70/240.96 (define @t292 () (forall @t285 @t291)) % 240.70/240.96 (define @t293 () (forall @t259 @t291)) % 240.70/240.96 (define @t294 () (forall @t259 @t290)) % 240.70/240.96 (define @t295 () (or @t279 @t120 @t294)) % 240.70/240.96 (define @t296 () (not (forall @t44 (or @t225 @t112 @t277)))) % 240.70/240.96 (define @t297 () (forall @t46 (or (not @t117) @t296))) % 240.70/240.96 (define @t298 () (or @t279 @t120 @t297)) % 240.70/240.96 (define @t299 () (forall @t20 @t298)) % 240.70/240.96 (define @t300 () (or @t60 @t263 @t299)) % 240.70/240.96 (define @t301 () (or @t60 @t263 @t298)) % 240.70/240.96 (define @t302 () (or @t279 @t120 @t297 @t60 @t263)) % 240.70/240.96 (define @t303 () (or @t120 @t297 @t60 @t263)) % 240.70/240.96 (define @t304 () (not (= @t1 @t1))) % 240.70/240.96 (define @t305 () (or @t263 @t304)) % 240.70/240.96 (define @t306 () (or @t121 @t122 @t121)) % 240.70/240.96 (define @t307 () (or @t122 @t121)) % 240.70/240.96 (define @t308 () (forall @t16 @t307)) % 240.70/240.96 (define @t309 () (or @t120 @t297 @t60 @t308)) % 240.70/240.96 (define @t310 () (or @t120 @t297 @t60 @t307)) % 240.70/240.96 (define @t311 () (or @t122 @t121 @t120 @t297 @t60)) % 240.70/240.96 (define @t312 () (not @t113)) % 240.70/240.96 (define @t313 () (or @t225 @t312 @t277)) % 240.70/240.96 (define @t314 () (forall @t44 (not @t115))) % 240.70/240.96 (define @t315 () (not @t314)) % 240.70/240.96 (define @t316 () (@quantifiers_skolemize @t231 1)) % 240.70/240.96 (define @t317 () (forall @t44 (or @t225 (= @t38 @t316) (not (tptp.memberP @t232 @t38))))) % 240.70/240.96 (define @t318 () (not @t317)) % 240.70/240.96 (define @t319 () (or @t239 @t236 (not (tptp.ssItem @t316)) @t318)) % 240.70/240.96 (define @t320 () (@list true)) % 240.70/240.96 (define @t321 () (@list @t319)) % 240.70/240.96 (define @t322 () (@list false false)) % 240.70/240.96 (define @t323 () (not @t242)) % 240.70/240.96 (define @t324 () (@list true false)) % 240.70/240.96 (define @t325 () (@quantifiers_skolemize @t242 4)) % 240.70/240.96 (define @t326 () (@quantifiers_skolemize @t242 1)) % 240.70/240.96 (define @t327 () (tptp.cons @t326 @t325)) % 240.70/240.96 (define @t328 () (@quantifiers_skolemize @t242 3)) % 240.70/240.96 (define @t329 () (@quantifiers_skolemize @t242 0)) % 240.70/240.96 (define @t330 () (tptp.cons @t329 @t328)) % 240.70/240.96 (define @t331 () (@quantifiers_skolemize @t242 2)) % 240.70/240.96 (define @t332 () (tptp.app @t331 @t330)) % 240.70/240.96 (define @t333 () (tptp.app @t332 @t327)) % 240.70/240.96 (define @t334 () (= @t232 @t333)) % 240.70/240.96 (define @t335 () (not @t334)) % 240.70/240.96 (define @t336 () (tptp.ssList @t325)) % 240.70/240.96 (define @t337 () (not @t336)) % 240.70/240.96 (define @t338 () (tptp.ssList @t328)) % 240.70/240.96 (define @t339 () (not @t338)) % 240.70/240.96 (define @t340 () (tptp.ssList @t331)) % 240.70/240.96 (define @t341 () (not @t340)) % 240.70/240.96 (define @t342 () (tptp.leq @t329 @t326)) % 240.70/240.96 (define @t343 () (tptp.ssItem @t326)) % 240.70/240.96 (define @t344 () (not @t343)) % 240.70/240.96 (define @t345 () (tptp.ssItem @t329)) % 240.70/240.96 (define @t346 () (not @t345)) % 240.70/240.96 (define @t347 () (or @t346 @t344 @t342 @t341 @t339 @t337 @t335)) % 240.70/240.96 (define @t348 () (not @t347)) % 240.70/240.96 (define @t349 () (not (= @t333 @t232))) % 240.70/240.96 (define @t350 () (or @t346 @t344 @t342 @t341 @t339 @t337 @t349)) % 240.70/240.96 (define @t351 () (not @t350)) % 240.70/240.96 (define @t352 () (@list @t347)) % 240.70/240.96 (define @t353 () (@var "BOUND_VARIABLE_10560" $$unsorted)) % 240.70/240.96 (define @t354 () (@var "BOUND_VARIABLE_10558" $$unsorted)) % 240.70/240.96 (define @t355 () (= (tptp.app (tptp.app @t2 @t354) @t353) (tptp.app @t2 (tptp.app @t354 @t353)))) % 240.70/240.96 (define @t356 () (not (tptp.ssList @t353))) % 240.70/240.96 (define @t357 () (not (tptp.ssList @t354))) % 240.70/240.96 (define @t358 () (or @t357 @t356 @t355)) % 240.70/240.96 (define @t359 () (or @t228 @t358)) % 240.70/240.96 (define @t360 () (forall (@list @t2 @t354 @t353) @t359)) % 240.70/240.96 (define @t361 () (@list @t354 @t353)) % 240.70/240.96 (define @t362 () (forall @t361 @t359)) % 240.70/240.96 (define @t363 () (forall @t361 @t358)) % 240.70/240.96 (define @t364 () (@var "BOUND_VARIABLE_10540" $$unsorted)) % 240.70/240.96 (define @t365 () (or @t228 @t363)) % 240.70/240.96 (define @t366 () (= (tptp.app @t76 @t364) (tptp.app @t2 (tptp.app @t1 @t364)))) % 240.70/240.96 (define @t367 () (not (tptp.ssList @t364))) % 240.70/240.96 (define @t368 () (or @t263 @t367 @t366)) % 240.70/240.96 (define @t369 () (@list @t1 @t364)) % 240.70/240.96 (define @t370 () (forall @t369 @t368)) % 240.70/240.96 (define @t371 () (or @t367 @t366)) % 240.70/240.96 (define @t372 () (or @t263 @t371)) % 240.70/240.96 (define @t373 () (forall @t369 @t372)) % 240.70/240.96 (define @t374 () (@list @t364)) % 240.70/240.96 (define @t375 () (forall @t374 @t372)) % 240.70/240.96 (define @t376 () (forall @t374 @t371)) % 240.70/240.96 (define @t377 () (@list @t12)) % 240.70/240.96 (define @t378 () (or @t263 @t376)) % 240.70/240.96 (define @t379 () (forall @t20 (or @t279 @t105))) % 240.70/240.96 (define @t380 () (@var "BOUND_VARIABLE_9116" $$unsorted)) % 240.70/240.96 (define @t381 () (tptp.ssList (tptp.cons @t380 @t2))) % 240.70/240.96 (define @t382 () (not (tptp.ssItem @t380))) % 240.70/240.96 (define @t383 () (or @t382 @t381)) % 240.70/240.96 (define @t384 () (or @t228 @t383)) % 240.70/240.96 (define @t385 () (forall (@list @t2 @t380) @t384)) % 240.70/240.96 (define @t386 () (@list @t380)) % 240.70/240.96 (define @t387 () (forall @t386 @t384)) % 240.70/240.96 (define @t388 () (forall @t386 @t383)) % 240.70/240.96 (define @t389 () (@list @t1)) % 240.70/240.96 (define @t390 () (or @t228 @t388)) % 240.70/240.96 (define @t391 () (forall @t7 (or @t143 @t66))) % 240.70/240.96 (define @t392 () (tptp.ssList @t327)) % 240.70/240.96 (define @t393 () (or @t337 @t344 @t392)) % 240.70/240.96 (define @t394 () (@list false false false)) % 240.70/240.96 (define @t395 () (tptp.ssList @t330)) % 240.70/240.96 (define @t396 () (or @t339 @t346 @t395)) % 240.70/240.96 (define @t397 () (tptp.app @t330 @t327)) % 240.70/240.96 (define @t398 () (tptp.app @t331 @t397)) % 240.70/240.96 (define @t399 () (= @t333 @t398)) % 240.70/240.96 (define @t400 () (not @t392)) % 240.70/240.96 (define @t401 () (not @t395)) % 240.70/240.96 (define @t402 () (or @t341 @t401 @t400 @t399)) % 240.70/240.96 (define @t403 () (@list false false false false)) % 240.70/240.96 (define @t404 () (@list @t340 @t395 @t392 @t402)) % 240.70/240.96 (define @t405 () (@var "BOUND_VARIABLE_9397" $$unsorted)) % 240.70/240.96 (define @t406 () (@var "BOUND_VARIABLE_9399" $$unsorted)) % 240.70/240.96 (define @t407 () (= (tptp.cons @t406 (tptp.app @t405 @t2)) (tptp.app (tptp.cons @t406 @t405) @t2))) % 240.70/240.96 (define @t408 () (not (tptp.ssItem @t406))) % 240.70/240.96 (define @t409 () (not (tptp.ssList @t405))) % 240.70/240.96 (define @t410 () (or @t228 @t409 @t408 @t407)) % 240.70/240.96 (define @t411 () (or @t409 @t408 @t407)) % 240.70/240.96 (define @t412 () (or @t228 @t411)) % 240.70/240.96 (define @t413 () (@list @t2 @t405 @t406)) % 240.70/240.96 (define @t414 () (forall @t413 @t412)) % 240.70/240.96 (define @t415 () (@list @t405 @t406)) % 240.70/240.96 (define @t416 () (forall @t415 @t412)) % 240.70/240.96 (define @t417 () (forall @t415 @t411)) % 240.70/240.96 (define @t418 () (@var "BOUND_VARIABLE_9379" $$unsorted)) % 240.70/240.96 (define @t419 () (or @t228 @t417)) % 240.70/240.96 (define @t420 () (= (tptp.cons @t418 @t81) (tptp.app (tptp.cons @t418 @t1) @t2))) % 240.70/240.96 (define @t421 () (not (tptp.ssItem @t418))) % 240.70/240.96 (define @t422 () (or @t263 @t421 @t420)) % 240.70/240.96 (define @t423 () (@list @t1 @t418)) % 240.70/240.96 (define @t424 () (forall @t423 @t422)) % 240.70/240.96 (define @t425 () (or @t421 @t420)) % 240.70/240.96 (define @t426 () (or @t263 @t425)) % 240.70/240.96 (define @t427 () (forall @t423 @t426)) % 240.70/240.96 (define @t428 () (@list @t418)) % 240.70/240.96 (define @t429 () (forall @t428 @t426)) % 240.70/240.96 (define @t430 () (forall @t428 @t425)) % 240.70/240.96 (define @t431 () (or @t263 @t430)) % 240.70/240.96 (define @t432 () (forall @t20 (or @t161 @t82))) % 240.70/240.96 (define @t433 () (tptp.app @t328 @t327)) % 240.70/240.96 (define @t434 () (tptp.cons @t329 @t433)) % 240.70/240.96 (define @t435 () (or @t400 @t339 @t346 (= @t434 @t397))) % 240.70/240.96 (define @t436 () (forall @t413 @t410)) % 240.70/240.96 (define @t437 () (= @t397 @t434)) % 240.70/240.96 (define @t438 () (or @t400 @t339 @t346 @t437)) % 240.70/240.96 (define @t439 () (@var "BOUND_VARIABLE_8222" $$unsorted)) % 240.70/240.96 (define @t440 () (@var "BOUND_VARIABLE_8247" $$unsorted)) % 240.70/240.96 (define @t441 () (not (tptp.ssList @t439))) % 240.70/240.96 (define @t442 () (@list @t12 @t439)) % 240.70/240.96 (define @t443 () (= (tptp.memberP @t2 @t440) (not (forall @t442 (or @t279 @t441 (not (= @t2 (tptp.app @t12 (tptp.cons @t440 @t439))))))))) % 240.70/240.96 (define @t444 () (not (tptp.ssItem @t440))) % 240.70/240.96 (define @t445 () (or @t444 @t443)) % 240.70/240.96 (define @t446 () (or @t228 @t445)) % 240.70/240.96 (define @t447 () (forall (@list @t2 @t440) @t446)) % 240.70/240.96 (define @t448 () (@list @t440)) % 240.70/240.96 (define @t449 () (forall @t448 @t446)) % 240.70/240.96 (define @t450 () (forall @t448 @t445)) % 240.70/240.96 (define @t451 () (or @t228 @t450)) % 240.70/240.96 (define @t452 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t439))))) % 240.70/240.96 (define @t453 () (or @t279 @t441 @t452)) % 240.70/240.96 (define @t454 () (= @t22 (not (forall @t442 @t453)))) % 240.70/240.96 (define @t455 () (forall @t7 (or @t143 @t454))) % 240.70/240.96 (define @t456 () (or @t441 @t452)) % 240.70/240.96 (define @t457 () (or @t279 @t456)) % 240.70/240.96 (define @t458 () (forall @t442 @t457)) % 240.70/240.96 (define @t459 () (@list @t439)) % 240.70/240.96 (define @t460 () (forall @t459 @t457)) % 240.70/240.96 (define @t461 () (forall @t459 @t456)) % 240.70/240.96 (define @t462 () (or @t279 @t461)) % 240.70/240.96 (define @t463 () (= @t2 @t13)) % 240.70/240.96 (define @t464 () (forall @t16 (or @t122 (not @t463)))) % 240.70/240.96 (define @t465 () (not @t464)) % 240.70/240.96 (define @t466 () (and @t18 @t465)) % 240.70/240.96 (define @t467 () (forall @t20 (not @t466))) % 240.70/240.96 (define @t468 () (not @t467)) % 240.70/240.96 (define @t469 () (and @t14 @t463)) % 240.70/240.96 (define @t470 () (forall @t16 (not @t469))) % 240.70/240.96 (define @t471 () (not @t470)) % 240.70/240.96 (define @t472 () (forall @t442 (or @t279 @t441 (not (= @t232 (tptp.app @t12 (tptp.cons @t329 @t439))))))) % 240.70/240.96 (define @t473 () (not @t472)) % 240.70/240.96 (define @t474 () (tptp.memberP @t232 @t329)) % 240.70/240.96 (define @t475 () (= @t474 @t473)) % 240.70/240.96 (define @t476 () (or @t239 @t346 @t475)) % 240.70/240.96 (define @t477 () (not @t474)) % 240.70/240.96 (define @t478 () (or @t346 (= @t329 @t316) @t477)) % 240.70/240.96 (define @t479 () (@list @t329)) % 240.70/240.96 (define @t480 () (= @t316 @t329)) % 240.70/240.96 (define @t481 () (or @t346 @t480 @t477)) % 240.70/240.96 (define @t482 () (@list @t317)) % 240.70/240.96 (define @t483 () (tptp.memberP @t232 @t326)) % 240.70/240.96 (define @t484 () (not @t483)) % 240.70/240.96 (define @t485 () (or @t344 (= @t326 @t316) @t484)) % 240.70/240.96 (define @t486 () (= @t316 @t326)) % 240.70/240.96 (define @t487 () (or @t344 @t486 @t484)) % 240.70/240.96 (define @t488 () (tptp.ssList @t333)) % 240.70/240.96 (define @t489 () (forall @t442 (or @t279 @t441 (not (= @t333 (tptp.app @t12 (tptp.cons @t326 @t439))))))) % 240.70/240.96 (define @t490 () (not @t489)) % 240.70/240.96 (define @t491 () (tptp.memberP @t333 @t326)) % 240.70/240.96 (define @t492 () (= @t491 @t490)) % 240.70/240.96 (define @t493 () (not @t488)) % 240.70/240.96 (define @t494 () (or @t493 @t344 @t492)) % 240.70/240.96 (define @t495 () (@var "BOUND_VARIABLE_9360" $$unsorted)) % 240.70/240.96 (define @t496 () (tptp.ssList (tptp.app @t2 @t495))) % 240.70/240.96 (define @t497 () (not (tptp.ssList @t495))) % 240.70/240.96 (define @t498 () (or @t497 @t496)) % 240.70/240.96 (define @t499 () (or @t228 @t498)) % 240.70/240.96 (define @t500 () (forall (@list @t2 @t495) @t499)) % 240.70/240.96 (define @t501 () (@list @t495)) % 240.70/240.96 (define @t502 () (forall @t501 @t499)) % 240.70/240.96 (define @t503 () (forall @t501 @t498)) % 240.70/240.96 (define @t504 () (or @t228 @t503)) % 240.70/240.96 (define @t505 () (forall @t7 (or @t263 @t77))) % 240.70/240.96 (define @t506 () (tptp.ssList @t332)) % 240.70/240.96 (define @t507 () (or @t341 @t401 @t506)) % 240.70/240.96 (define @t508 () (not @t506)) % 240.70/240.96 (define @t509 () (or @t508 @t337)) % 240.70/240.96 (define @t510 () (not @t509)) % 240.70/240.96 (define @t511 () (not (= @t333 @t333))) % 240.70/240.96 (define @t512 () (or @t508 @t337 @t511)) % 240.70/240.96 (define @t513 () (not @t492)) % 240.70/240.96 (define @t514 () (and @t334 @t491)) % 240.70/240.96 (define @t515 () (tptp.leq @t329 @t329)) % 240.70/240.96 (define @t516 () (or @t346 @t515)) % 240.70/240.96 (define @t517 () (not @t342)) % 240.70/240.96 (define @t518 () (not @t486)) % 240.70/240.96 (define @t519 () (not @t480)) % 240.70/240.96 (define @t520 () (not @t515)) % 240.70/240.96 (define @t521 () (= true false)) % 240.70/240.96 (define @t522 () (and @t517 @t486 @t480 @t515)) % 240.70/240.96 (define @t523 () (not @t475)) % 240.70/240.96 (define @t524 () (= @t232 (tptp.app @t331 @t434))) % 240.70/240.96 (define @t525 () (not @t524)) % 240.70/240.96 (define @t526 () (tptp.ssList @t433)) % 240.70/240.96 (define @t527 () (not @t526)) % 240.70/240.96 (define @t528 () (or @t341 @t527 @t525)) % 240.70/240.96 (define @t529 () (or @t339 @t400 @t526)) % 240.70/240.96 (define @t530 () (not @t437)) % 240.70/240.96 (define @t531 () (not @t399)) % 240.70/240.96 (define @t532 () (and @t524 @t525)) % 240.70/240.96 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 240.70/240.96 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 240.70/240.96 (assume @p3 @t28) % 240.70/240.96 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 240.70/240.96 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 240.70/240.96 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 240.70/240.96 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 240.70/240.96 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t47 (forall @t16 (=> @t14 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (not (and @t37 @t36))))))))))))))))) % 240.70/240.96 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t47 (forall @t16 (=> @t14 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (or @t37 @t36)))))))))))))))) % 240.70/240.96 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t47 (forall @t16 (=> @t14 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (or @t48 (tptp.lt @t12 @t1))))))))))))))))) % 240.70/240.96 (assume @p11 @t63) % 240.70/240.96 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t47 (forall @t16 (=> @t14 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 @t48))))))))))))))) % 240.70/240.96 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t47 (forall @t16 (=> @t14 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (not @t64)))))))))))))))) % 240.70/240.96 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t47 (forall @t16 (=> @t14 (forall @t46 (=> @t45 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t39))) @t2) @t64))))))))))))) % 240.70/240.96 (assume @p15 (forall @t9 (=> @t26 (forall @t7 (=> @t32 @t5))))) % 240.70/240.96 (assume @p16 @t69) % 240.70/240.96 (assume @p17 (tptp.ssList tptp.nil)) % 240.70/240.96 (assume @p18 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= @t65 @t2))))))) % 240.70/240.96 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t47 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t70))))))))))) % 240.70/240.96 (assume @p20 (forall @t9 (=> @t26 (or @t72 (exists @t7 (and @t32 (exists @t20 (and @t47 (= @t71 @t2))))))))) % 240.70/240.96 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t65))))))) % 240.70/240.96 (assume @p22 (forall @t9 (=> @t26 (=> @t74 (tptp.ssItem @t73))))) % 240.70/240.96 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t65) @t1)))))) % 240.70/240.96 (assume @p24 (forall @t9 (=> @t26 (=> @t74 (tptp.ssList @t75))))) % 240.70/240.96 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t65) @t2)))))) % 240.70/240.96 (assume @p26 @t80) % 240.70/240.96 (assume @p27 @t87) % 240.70/240.96 (assume @p28 (forall @t9 (=> @t26 (= (tptp.app tptp.nil @t2) @t2)))) % 240.70/240.96 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t89 @t88) @t3)))))) % 240.70/240.96 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t47 (=> (and @t89 @t37) (tptp.leq @t2 @t12))))))))) % 240.70/240.96 (assume @p31 @t91) % 240.70/240.96 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t92 @t88)))))) % 240.70/240.96 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t94 (not @t93))))))) % 240.70/240.96 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t47 (=> (and @t94 @t48) @t95)))))))) % 240.70/240.96 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t96 @t93)))))) % 240.70/240.96 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t97))))))))) % 240.70/240.96 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t97))))))))) % 240.70/240.96 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 240.70/240.96 (assume @p39 (not (tptp.singletonP tptp.nil))) % 240.70/240.96 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 240.70/240.96 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 240.70/240.96 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 240.70/240.96 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 240.70/240.96 (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)))))))))))) % 240.70/240.96 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 240.70/240.96 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t72)))) % 240.70/240.96 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 240.70/240.96 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 240.70/240.96 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 240.70/240.96 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t98 @t1))))))))) % 240.70/240.96 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 240.70/240.96 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t72)))) % 240.70/240.96 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 240.70/240.96 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 (tptp.segmentP @t1 @t2)) @t3)))))) % 240.70/240.96 (assume @p55 (forall @t9 (=> @t26 (tptp.segmentP @t2 @t2)))) % 240.70/240.96 (assume @p56 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (=> @t35 (tptp.segmentP (tptp.app @t98 @t10) @t1))))))))))) % 240.70/240.96 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 240.70/240.96 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t72)))) % 240.70/240.96 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t99)))) % 240.70/240.96 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 240.70/240.96 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t99)))) % 240.70/240.96 (assume @p62 (tptp.totalorderP tptp.nil)) % 240.70/240.96 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t99)))) % 240.70/240.96 (assume @p64 (tptp.strictorderP tptp.nil)) % 240.70/240.96 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t99)))) % 240.70/240.96 (assume @p66 (tptp.totalorderedP tptp.nil)) % 240.70/240.96 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t103) (or @t101 (and @t102 (tptp.totalorderedP @t1) (tptp.leq @t2 @t100))))))))) % 240.70/240.96 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t99)))) % 240.70/240.96 (assume @p69 (tptp.strictorderedP tptp.nil)) % 240.70/240.96 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t103) (or @t101 (and @t102 (tptp.strictorderedP @t1) (tptp.lt @t2 @t100))))))))) % 240.70/240.96 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t99)))) % 240.70/240.96 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 240.70/240.96 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t99)))) % 240.70/240.96 (assume @p74 (tptp.equalelemsP tptp.nil)) % 240.70/240.96 (assume @p75 (forall @t9 (=> @t26 (=> @t74 (exists @t7 (and @t6 (= @t73 @t1))))))) % 240.70/240.96 (assume @p76 (forall @t9 (=> @t26 (=> @t74 (exists @t7 (and @t32 (= @t75 @t1))))))) % 240.70/240.96 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t102 @t74 (= @t100 @t73) (= (tptp.tl @t1) @t75)) @t70)))))) % 240.70/240.96 (assume @p78 (forall @t9 (=> @t26 (=> @t74 (= (tptp.cons @t73 @t75) @t2))))) % 240.70/240.96 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t76) @t104)))))))) % 240.70/240.96 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t81) @t104)))))))) % 240.70/240.96 (assume @p81 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= @t65 (tptp.app @t29 @t2))))))) % 240.70/240.96 (assume @p82 @t110) % 240.70/240.96 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t76) (and @t101 @t72))))))) % 240.70/240.96 (assume @p84 (forall @t9 (=> @t26 (= (tptp.app @t2 tptp.nil) @t2)))) % 240.70/240.96 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t74 (= (tptp.hd @t76) @t73))))))) % 240.70/240.96 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t74 (= (tptp.tl @t76) (tptp.app @t75 @t1)))))))) % 240.70/240.96 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t92 (tptp.geq @t1 @t2)) @t3)))))) % 240.70/240.96 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t47 (=> (and @t92 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 240.70/240.96 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 240.70/240.96 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 240.70/240.96 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t47 (=> (and @t89 @t48) @t95)))))))) % 240.70/240.96 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t89 (or @t3 @t94))))))) % 240.70/240.96 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t94 (and @t4 @t89))))))) % 240.70/240.96 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t96 (not (tptp.gt @t1 @t2)))))))) % 240.70/240.96 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t47 (=> (and @t96 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 240.70/240.96 (assume @p96 @t131) % 240.70/240.96 (assume @p97 true) % 240.70/240.96 (step @p98 :rule bool-impl-elim :args (@t26 @t146)) % 240.70/240.96 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t26 @t146)))) % 240.70/240.96 (step @p100 :rule aci_norm :args ((= @t148 @t144))) % 240.70/240.96 (step @p101 :rule cong :premises (@p100) :args (@t149)) % 240.70/240.96 (step @p102 :rule quant-merge-prenex :args ((= (forall @t7 @t151) @t149))) % 240.70/240.96 (step @p103 :rule alpha_equiv :args (@t152 (@list @t133 @t135 @t134 @t132) (@list @t12 @t155 @t154 @t153))) % 240.70/240.96 (step @p104 :rule refl :args (@t143)) % 240.70/240.96 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t156)) % 240.70/240.96 (step @p106 :rule quant-miniscope-or :args ((= @t151 @t156))) % 240.70/240.96 (step @p107 :rule trans :premises (@p106 @p105)) % 240.70/240.96 (step @p108 :rule symm :premises (@p107)) % 240.70/240.96 (step @p109 :rule cong :premises (@p108) :args ((forall @t7 (or @t143 @t164)))) % 240.70/240.96 (step @p110 :rule trans :premises (@p109 @p102)) % 240.70/240.96 (step @p111 :rule trans :premises (@p110 @p101)) % 240.70/240.96 (step @p112 :rule bool-impl-elim :args (@t6 @t164)) % 240.70/240.96 (step @p113 :rule cong :premises (@p112) :args ((forall @t7 (=> @t6 @t164)))) % 240.70/240.96 (step @p114 :rule trans :premises (@p113 @p111)) % 240.70/240.96 (step @p115 :rule aci_norm :args ((= @t166 @t162))) % 240.70/240.96 (step @p116 :rule cong :premises (@p115) :args (@t167)) % 240.70/240.96 (step @p117 :rule quant-merge-prenex :args ((= (forall @t20 @t169) @t167))) % 240.70/240.96 (step @p118 :rule alpha_equiv :args (@t170 (@list @t155 @t154 @t153) (@list @t10 @t172 @t171))) % 240.70/240.96 (step @p119 :rule refl :args (@t37)) % 240.70/240.96 (step @p120 :rule refl :args (@t161)) % 240.70/240.96 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args (@t173)) % 240.70/240.96 (step @p122 :rule quant-miniscope-or :args ((= @t169 @t173))) % 240.70/240.96 (step @p123 :rule trans :premises (@p122 @p121)) % 240.70/240.96 (step @p124 :rule symm :premises (@p123)) % 240.70/240.96 (step @p125 :rule cong :premises (@p124) :args ((forall @t20 @t180))) % 240.70/240.96 (step @p126 :rule trans :premises (@p125 @p117)) % 240.70/240.96 (step @p127 :rule trans :premises (@p126 @p116)) % 240.70/240.96 (step @p128 :rule aci_norm :args ((= (or @t161 @t181) @t180))) % 240.70/240.96 (step @p129 :rule bool-impl-elim :args (@t47 @t181)) % 240.70/240.96 (step @p130 :rule trans :premises (@p129 @p128)) % 240.70/240.96 (step @p131 :rule cong :premises (@p130) :args ((forall @t20 (=> @t47 @t181)))) % 240.70/240.96 (step @p132 :rule trans :premises (@p131 @p127)) % 240.70/240.96 (step @p133 :rule aci_norm :args ((= @t183 @t177))) % 240.70/240.96 (step @p134 :rule cong :premises (@p133) :args (@t184)) % 240.70/240.96 (step @p135 :rule quant-merge-prenex :args ((= (forall @t16 @t186) @t184))) % 240.70/240.96 (step @p136 :rule alpha_equiv :args (@t187 (@list @t172 @t171) (@list @t39 @t188))) % 240.70/240.96 (step @p137 :rule refl :args (@t122)) % 240.70/240.96 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t189)) % 240.70/240.96 (step @p139 :rule quant-miniscope-or :args ((= @t186 @t189))) % 240.70/240.96 (step @p140 :rule trans :premises (@p139 @p138)) % 240.70/240.96 (step @p141 :rule symm :premises (@p140)) % 240.70/240.96 (step @p142 :rule cong :premises (@p141) :args (@t197)) % 240.70/240.96 (step @p143 :rule trans :premises (@p142 @p135)) % 240.70/240.96 (step @p144 :rule trans :premises (@p143 @p134)) % 240.70/240.96 (step @p145 :rule refl :args (@t37)) % 240.70/240.96 (step @p146 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@t486) % 240.70/240.97 (assume-push @p915 @t480) % 240.70/240.97 (assume-push @p916 @t515) % 240.70/240.97 (step @p803 :rule evaluate :args (@t521)) % 240.70/240.97 (step @p804 :rule false_intro :premises (@p793)) % 240.70/240.97 (step @p805 :rule symm :premises (@p915)) % 240.70/240.97 (step @p806 :rule trans :premises (@p805 @p914)) % 240.70/240.97 (step @p807 :rule refl :args (@t329)) % 240.70/240.97 (step @p808 :rule cong :premises (@p807 @p806) :args (@t515)) % 240.70/240.97 (step @p809 :rule true_intro :premises (@p791)) % 240.70/240.97 (step @p810 :rule symm :premises (@p809)) % 240.70/240.97 (step @p811 :rule trans :premises (@p810 @p808 @p804)) % 240.70/240.97 (step @p812 false :rule eq_resolve :premises (@p811 @p803)) % 240.70/240.97 (step-pop @p917 :rule scope :premises (@p812)) % 240.70/240.97 (step-pop @p918 :rule scope :premises (@p917)) % 240.70/240.97 (step-pop @p919 :rule scope :premises (@p918)) % 240.70/240.97 (step-pop @p920 :rule scope :premises (@p919)) % 240.70/240.97 (step @p813 :rule process_scope :premises (@p920) :args (false)) % 240.70/240.97 (assume-push @p921 @t517) % 240.70/240.97 (assume-push @p922 @t515) % 240.70/240.97 (assume-push @p923 @t480) % 240.70/240.97 (assume-push @p924 @t486) % 240.70/240.97 (step @p822 :rule and_intro :premises (@p793 @p924 @p923 @p791)) % 240.70/240.97 (step-pop @p925 :rule scope :premises (@p822)) % 240.70/240.97 (step-pop @p926 :rule scope :premises (@p925)) % 240.70/240.97 (step-pop @p927 :rule scope :premises (@p926)) % 240.70/240.97 (step-pop @p928 :rule scope :premises (@p927)) % 240.70/240.97 (step @p823 :rule process_scope :premises (@p928) :args (@t522)) % 240.70/240.97 (step @p828 :rule implies_elim :premises (@p823)) % 240.70/240.97 (step @p829 :rule resolution :premises (@p828 @p813) :args (true @t522)) % 240.70/240.97 (step @p830 :rule not_and :premises (@p829)) % 240.70/240.97 (step @p831 :rule eq_resolve :premises (@p830 @p798)) % 240.70/240.97 (step @p832 :rule chain_m_resolution :premises (@p831 @p793 @p791 @p784) :args (@t519 (@list true false false) (@list @t342 @t515 @t486))) % 240.70/240.97 (step @p833 :rule cnf_or_pos :args (@t481)) % 240.70/240.97 (step @p834 :rule reordering :premises (@p833) :args ((or @t346 @t477 @t480 (not @t481)))) % 240.70/240.97 (step @p835 :rule chain_m_resolution :premises (@p834 @p545 @p832 @p688) :args (@t477 (@list false true false) (@list @t345 @t480 @t481))) % 240.70/240.97 (step @p836 :rule bool-double-not-elim :args (@t472)) % 240.70/240.97 (step @p837 :rule refl :args (@t474)) % 240.70/240.97 (step @p838 :rule refl :args (@t523)) % 240.70/240.97 (step @p839 :rule nary_cong :premises (@p838 @p837 @p836) :args ((or @t523 @t474 (not @t473)))) % 240.70/240.97 (step @p840 :rule cnf_equiv_pos2 :args (@t475)) % 240.70/240.97 (step @p841 :rule eq_resolve :premises (@p840 @p839)) % 240.70/240.97 (step @p842 :rule reordering :premises (@p841) :args ((or @t474 @t472 @t523))) % 240.70/240.97 (step @p843 :rule chain_m_resolution :premises (@p842 @p835 @p670) :args (@t472 @t324 (@list @t474 @t475))) % 240.70/240.97 (assume-push @p929 @t472) % 240.70/240.97 (step @p845 :rule instantiate :premises (@p929) :args ((@list @t331 @t433))) % 240.70/240.97 (step-pop @p930 :rule scope :premises (@p845)) % 240.70/240.97 (step @p846 :rule process_scope :premises (@p930) :args (@t528)) % 240.70/240.97 (step @p848 :rule implies_elim :premises (@p846)) % 240.70/240.97 (step @p849 :rule chain_m_resolution :premises (@p848 @p843) :args (@t528 @t245 (@list @t472))) % 240.70/240.97 (step @p850 :rule instantiate :premises (@p728) :args ((@list @t328 @t327))) % 240.70/240.97 (step @p851 :rule cnf_or_pos :args (@t529)) % 240.70/240.97 (step @p852 :rule reordering :premises (@p851) :args ((or @t339 @t400 @t526 (not @t529)))) % 240.70/240.97 (step @p853 :rule chain_m_resolution :premises (@p852 @p539 @p532 @p850) :args (@t526 @t394 (@list @t338 @t392 @t529))) % 240.70/240.97 (step @p854 :rule cnf_or_pos :args (@t528)) % 240.70/240.97 (step @p855 :rule reordering :premises (@p854) :args ((or @t341 @t527 @t525 (not @t528)))) % 240.70/240.97 (step @p856 :rule chain_m_resolution :premises (@p855 @p554 @p853 @p849) :args (@t525 @t394 (@list @t340 @t526 @t528))) % 240.70/240.97 (step @p857 :rule bool-double-not-elim :args (@t524)) % 240.70/240.97 (step @p858 :rule refl :args (@t530)) % 240.70/240.97 (step @p859 :rule refl :args (@t531)) % 240.70/240.97 (step @p860 :rule refl :args (@t335)) % 240.70/240.97 (step @p861 :rule nary_cong :premises (@p860 @p859 @p858 @p857) :args ((or @t335 @t531 @t530 (not @t525)))) % 240.70/240.97 (assume-push @p931 @t524) % 240.70/240.97 (assume-push @p932 @t525) % 240.70/240.98 (step @p803 :rule evaluate :args (@t521)) % 240.70/240.98 (step @p864 :rule false_intro :premises (@p932)) % 240.70/240.98 (step @p865 :rule refl :args (@t331)) % 240.70/240.98 (step @p866 :rule cong :premises (@p865 @p609) :args (@t398)) % 240.70/240.98 (step @p867 :rule chain_m_resolution :premises (@p556 @p554 @p548 @p532 @p496) :args (@t399 @t403 @t404)) % 240.70/240.98 (step @p868 :rule chain_m_resolution :premises (@p456 @p450) :args (@t334 @t320 @t352)) % 240.70/240.98 (step @p869 :rule trans :premises (@p868 @p867 @p866)) % 240.70/240.98 (step @p870 :rule true_intro :premises (@p869)) % 240.70/240.98 (step @p871 :rule symm :premises (@p870)) % 240.70/240.98 (step @p872 :rule trans :premises (@p871 @p864)) % 240.70/240.98 (step @p873 false :rule eq_resolve :premises (@p872 @p803)) % 240.70/240.98 (step-pop @p933 :rule scope :premises (@p873)) % 240.70/240.98 (step-pop @p934 :rule scope :premises (@p933)) % 240.70/240.98 (step @p874 :rule process_scope :premises (@p934) :args (false)) % 240.70/240.98 (assume-push @p935 @t334) % 240.70/240.98 (assume-push @p936 @t399) % 240.70/240.98 (assume-push @p937 @t437) % 240.70/240.98 (assume-push @p938 @t525) % 240.70/240.98 (step @p865 :rule refl :args (@t331)) % 240.70/240.98 (step @p866 :rule cong :premises (@p865 @p609) :args (@t398)) % 240.70/240.98 (step @p881 :rule trans :premises (@p457 @p557 @p866)) % 240.70/240.98 (step @p882 :rule and_intro :premises (@p881 @p938)) % 240.70/240.98 (step-pop @p939 :rule scope :premises (@p882)) % 240.70/240.98 (step-pop @p940 :rule scope :premises (@p939)) % 240.70/240.98 (step-pop @p941 :rule scope :premises (@p940)) % 240.70/240.98 (step-pop @p942 :rule scope :premises (@p941)) % 240.70/240.98 (step @p883 :rule process_scope :premises (@p942) :args (@t532)) % 240.70/240.98 (step @p888 :rule implies_elim :premises (@p883)) % 240.70/240.98 (step @p889 :rule resolution :premises (@p888 @p874) :args (true @t532)) % 240.70/240.98 (step @p890 :rule not_and :premises (@p889)) % 240.70/240.98 (step @p891 :rule eq_resolve :premises (@p890 @p861)) % 240.70/240.98 (step @p892 false :rule chain_m_resolution :premises (@p891 @p856 @p609 @p557 @p457) :args (false (@list true false false false) (@list @t524 @t437 @t399 @t334))) % 240.70/240.98 ) % 240.70/240.98 % SZS output end Proof % 240.70/240.99 % cvc5 exiting %------------------------------------------------------------------------------