%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC025+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:45 AM UTC 2026 % Result : Theorem 64.19s 64.96s % Output : Proof 64.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC025+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n011.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 19:10:05 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 64.19/64.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 64.19/64.96 --- Run --no-e-matching --full-saturate-quant at 6... % 64.19/64.96 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 64.19/64.96 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 64.19/64.96 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.19/64.96 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.19/64.96 % SZS status Theorem % 64.19/64.96 % SZS output start Proof % 64.19/64.96 ( % 64.19/64.96 (declare-sort $$unsorted 0) % 64.19/64.96 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 64.19/64.96 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 64.19/64.96 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 64.19/64.96 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 64.19/64.96 (declare-const tptp.nil $$unsorted) % 64.19/64.96 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.ssList (-> $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 64.19/64.96 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 64.19/64.96 (define @t1 () (@var "V" $$unsorted)) % 64.19/64.96 (define @t2 () (@var "U" $$unsorted)) % 64.19/64.96 (define @t3 () (= @t2 @t1)) % 64.19/64.96 (define @t4 () (not @t3)) % 64.19/64.96 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 64.19/64.96 (define @t6 () (tptp.ssItem @t1)) % 64.19/64.96 (define @t7 () (@list @t1)) % 64.19/64.96 (define @t8 () (tptp.ssItem @t2)) % 64.19/64.96 (define @t9 () (@list @t2)) % 64.19/64.96 (define @t10 () (@var "X" $$unsorted)) % 64.19/64.96 (define @t11 () (tptp.cons @t1 @t10)) % 64.19/64.96 (define @t12 () (@var "W" $$unsorted)) % 64.19/64.96 (define @t13 () (tptp.ssList @t10)) % 64.19/64.96 (define @t14 () (@list @t10)) % 64.19/64.96 (define @t15 () (tptp.ssList @t12)) % 64.19/64.96 (define @t16 () (@list @t12)) % 64.19/64.96 (define @t17 () (tptp.ssList @t2)) % 64.19/64.96 (define @t18 () (tptp.cons @t1 tptp.nil)) % 64.19/64.96 (define @t19 () (tptp.app @t1 @t12)) % 64.19/64.96 (define @t20 () (tptp.frontsegP @t2 @t1)) % 64.19/64.96 (define @t21 () (tptp.ssList @t1)) % 64.19/64.96 (define @t22 () (tptp.app @t12 @t1)) % 64.19/64.96 (define @t23 () (tptp.rearsegP @t2 @t1)) % 64.19/64.96 (define @t24 () (tptp.segmentP @t2 @t1)) % 64.19/64.96 (define @t25 () (tptp.leq @t12 @t1)) % 64.19/64.96 (define @t26 () (tptp.leq @t1 @t12)) % 64.19/64.96 (define @t27 () (@var "Z" $$unsorted)) % 64.19/64.96 (define @t28 () (@var "Y" $$unsorted)) % 64.19/64.96 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 64.19/64.96 (define @t30 () (tptp.ssList @t27)) % 64.19/64.96 (define @t31 () (@list @t27)) % 64.19/64.96 (define @t32 () (tptp.ssList @t28)) % 64.19/64.96 (define @t33 () (@list @t28)) % 64.19/64.96 (define @t34 () (tptp.ssItem @t12)) % 64.19/64.96 (define @t35 () (tptp.lt @t1 @t12)) % 64.19/64.96 (define @t36 () (= @t1 @t12)) % 64.19/64.96 (define @t37 () (tptp.duplicatefreeP @t2)) % 64.19/64.96 (define @t38 () (tptp.cons @t1 @t2)) % 64.19/64.96 (define @t39 () (= @t1 @t2)) % 64.19/64.96 (define @t40 () (tptp.cons @t12 @t1)) % 64.19/64.96 (define @t41 () (and @t34 (= @t40 @t2))) % 64.19/64.96 (define @t42 () (exists @t16 @t41)) % 64.19/64.96 (define @t43 () (and @t21 @t42)) % 64.19/64.96 (define @t44 () (exists @t7 @t43)) % 64.19/64.96 (define @t45 () (= tptp.nil @t2)) % 64.19/64.96 (define @t46 () (or @t45 @t44)) % 64.19/64.96 (define @t47 () (=> @t17 @t46)) % 64.19/64.96 (define @t48 () (forall @t9 @t47)) % 64.19/64.96 (define @t49 () (tptp.hd @t2)) % 64.19/64.96 (define @t50 () (tptp.ssItem @t49)) % 64.19/64.96 (define @t51 () (not @t45)) % 64.19/64.96 (define @t52 () (=> @t51 @t50)) % 64.19/64.96 (define @t53 () (=> @t17 @t52)) % 64.19/64.96 (define @t54 () (forall @t9 @t53)) % 64.19/64.96 (define @t55 () (tptp.hd @t38)) % 64.19/64.96 (define @t56 () (=> @t6 (= @t55 @t1))) % 64.19/64.96 (define @t57 () (forall @t7 @t56)) % 64.19/64.96 (define @t58 () (=> @t17 @t57)) % 64.19/64.96 (define @t59 () (forall @t9 @t58)) % 64.19/64.96 (define @t60 () (tptp.tl @t2)) % 64.19/64.96 (define @t61 () (tptp.app @t2 @t1)) % 64.19/64.96 (define @t62 () (tptp.app @t1 @t2)) % 64.19/64.96 (define @t63 () (tptp.leq @t1 @t2)) % 64.19/64.96 (define @t64 () (tptp.leq @t2 @t1)) % 64.19/64.96 (define @t65 () (tptp.geq @t2 @t1)) % 64.19/64.96 (define @t66 () (tptp.lt @t1 @t2)) % 64.19/64.96 (define @t67 () (tptp.lt @t2 @t1)) % 64.19/64.96 (define @t68 () (tptp.lt @t2 @t12)) % 64.19/64.96 (define @t69 () (tptp.gt @t2 @t1)) % 64.19/64.96 (define @t70 () (tptp.memberP @t12 @t2)) % 64.19/64.96 (define @t71 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t70))) % 64.19/64.96 (define @t72 () (forall @t16 (=> @t15 @t71))) % 64.19/64.96 (define @t73 () (=> @t6 @t72)) % 64.19/64.96 (define @t74 () (forall @t7 @t73)) % 64.19/64.96 (define @t75 () (=> @t8 @t74)) % 64.19/64.96 (define @t76 () (forall @t9 @t75)) % 64.19/64.96 (define @t77 () (not (tptp.memberP tptp.nil @t2))) % 64.19/64.96 (define @t78 () (forall @t9 (=> @t8 @t77))) % 64.19/64.96 (define @t79 () (tptp.app @t12 @t2)) % 64.19/64.96 (define @t80 () (tptp.cons @t2 tptp.nil)) % 64.19/64.96 (define @t81 () (tptp.hd @t1)) % 64.19/64.96 (define @t82 () (= tptp.nil @t1)) % 64.19/64.96 (define @t83 () (not @t82)) % 64.19/64.96 (define @t84 () (tptp.cons @t2 @t1)) % 64.19/64.96 (define @t85 () (= @t12 @t2)) % 64.19/64.96 (define @t86 () (or @t51 @t82)) % 64.19/64.96 (define @t87 () (or @t83 @t45)) % 64.19/64.96 (define @t88 () (and @t87 @t86)) % 64.19/64.96 (define @t89 () (tptp.memberP @t10 @t28)) % 64.19/64.96 (define @t90 () (tptp.memberP @t12 @t28)) % 64.19/64.96 (define @t91 () (not @t90)) % 64.19/64.96 (define @t92 () (and @t91 @t89)) % 64.19/64.96 (define @t93 () (not @t89)) % 64.19/64.96 (define @t94 () (and @t93 @t90)) % 64.19/64.96 (define @t95 () (or @t94 @t92)) % 64.19/64.96 (define @t96 () (tptp.ssItem @t28)) % 64.19/64.96 (define @t97 () (and @t96 @t95)) % 64.19/64.96 (define @t98 () (exists @t33 @t97)) % 64.19/64.96 (define @t99 () (not (tptp.duplicatefreeP @t12))) % 64.19/64.96 (define @t100 () (not (= @t2 @t12))) % 64.19/64.96 (define @t101 () (not (= @t1 @t10))) % 64.19/64.96 (define @t102 () (or @t101 @t100 @t99 @t98 @t88)) % 64.19/64.96 (define @t103 () (=> @t13 @t102)) % 64.19/64.96 (define @t104 () (forall @t14 @t103)) % 64.19/64.96 (define @t105 () (=> @t15 @t104)) % 64.19/64.96 (define @t106 () (forall @t16 @t105)) % 64.19/64.96 (define @t107 () (=> @t21 @t106)) % 64.19/64.96 (define @t108 () (forall @t7 @t107)) % 64.19/64.96 (define @t109 () (=> @t17 @t108)) % 64.19/64.96 (define @t110 () (forall @t9 @t109)) % 64.19/64.96 (define @t111 () (not @t110)) % 64.19/64.96 (define @t112 () (@var "BOUND_VARIABLE_9260" $$unsorted)) % 64.19/64.96 (define @t113 () (tptp.cons @t112 @t1)) % 64.19/64.96 (define @t114 () (not (= @t2 @t113))) % 64.19/64.96 (define @t115 () (not (tptp.ssItem @t112))) % 64.19/64.96 (define @t116 () (not @t21)) % 64.19/64.96 (define @t117 () (or @t116 @t115 @t114)) % 64.19/64.96 (define @t118 () (@list @t1 @t112)) % 64.19/64.96 (define @t119 () (not (forall @t118 @t117))) % 64.19/64.96 (define @t120 () (= @t2 tptp.nil)) % 64.19/64.96 (define @t121 () (not @t17)) % 64.19/64.96 (define @t122 () (or @t121 @t120 @t119)) % 64.19/64.96 (define @t123 () (or @t120 @t119)) % 64.19/64.96 (define @t124 () (or @t115 @t114)) % 64.19/64.96 (define @t125 () (or @t116 @t124)) % 64.19/64.96 (define @t126 () (forall @t118 @t125)) % 64.19/64.96 (define @t127 () (@list @t112)) % 64.19/64.96 (define @t128 () (forall @t127 @t125)) % 64.19/64.96 (define @t129 () (forall @t127 @t124)) % 64.19/64.96 (define @t130 () (@list @t12)) % 64.19/64.96 (define @t131 () (or @t116 @t129)) % 64.19/64.96 (define @t132 () (= @t2 @t40)) % 64.19/64.96 (define @t133 () (forall @t16 (or (not @t34) (not @t132)))) % 64.19/64.96 (define @t134 () (not @t133)) % 64.19/64.96 (define @t135 () (and @t21 @t134)) % 64.19/64.96 (define @t136 () (forall @t7 (not @t135))) % 64.19/64.96 (define @t137 () (not @t136)) % 64.19/64.96 (define @t138 () (and @t34 @t132)) % 64.19/64.96 (define @t139 () (forall @t16 (not @t138))) % 64.19/64.96 (define @t140 () (not @t139)) % 64.19/64.96 (define @t141 () (@var "BOUND_VARIABLE_10995" $$unsorted)) % 64.19/64.96 (define @t142 () (tptp.memberP @t141 @t28)) % 64.19/64.96 (define @t143 () (tptp.memberP @t2 @t28)) % 64.19/64.96 (define @t144 () (not @t143)) % 64.19/64.96 (define @t145 () (not @t96)) % 64.19/64.96 (define @t146 () (not (forall @t33 (or @t145 (and (or @t142 @t144) (or @t143 (not @t142))))))) % 64.19/64.96 (define @t147 () (= tptp.nil @t141)) % 64.19/64.96 (define @t148 () (not @t120)) % 64.19/64.96 (define @t149 () (not (tptp.ssList @t141))) % 64.19/64.96 (define @t150 () (not @t37)) % 64.19/64.96 (define @t151 () (@list @t2 @t141)) % 64.19/64.96 (define @t152 () (forall @t151 (or @t121 @t150 @t149 (and (or (not @t147) @t120) (or @t148 @t147)) @t146))) % 64.19/64.96 (define @t153 () (@quantifiers_skolemize @t152 1)) % 64.19/64.96 (define @t154 () (not (= @t153 @t113))) % 64.19/64.96 (define @t155 () (or @t116 @t115 @t154)) % 64.19/64.96 (define @t156 () (forall @t118 @t155)) % 64.19/64.96 (define @t157 () (not @t156)) % 64.19/64.96 (define @t158 () (tptp.ssList @t153)) % 64.19/64.96 (define @t159 () (not @t158)) % 64.19/64.96 (define @t160 () (= @t153 tptp.nil)) % 64.19/64.96 (define @t161 () (or @t159 @t160 @t157)) % 64.19/64.96 (define @t162 () (forall @t9 @t122)) % 64.19/64.96 (define @t163 () (@list @t153)) % 64.19/64.96 (define @t164 () (forall @t118 (or @t116 @t115 (not (= @t113 @t153))))) % 64.19/64.96 (define @t165 () (not @t164)) % 64.19/64.96 (define @t166 () (= tptp.nil @t153)) % 64.19/64.96 (define @t167 () (or @t159 @t166 @t165)) % 64.19/64.96 (define @t168 () (@list false)) % 64.19/64.96 (define @t169 () (@list @t162)) % 64.19/64.96 (define @t170 () (@quantifiers_skolemize @t152 0)) % 64.19/64.96 (define @t171 () (= tptp.nil @t170)) % 64.19/64.96 (define @t172 () (not @t171)) % 64.19/64.96 (define @t173 () (or @t172 @t166)) % 64.19/64.96 (define @t174 () (not @t166)) % 64.19/64.96 (define @t175 () (= @t141 tptp.nil)) % 64.19/64.96 (define @t176 () (or @t148 @t175)) % 64.19/64.96 (define @t177 () (not @t175)) % 64.19/64.96 (define @t178 () (or @t177 @t120)) % 64.19/64.96 (define @t179 () (and @t178 @t176)) % 64.19/64.96 (define @t180 () (or @t121 @t150 @t149 @t179 @t146)) % 64.19/64.96 (define @t181 () (or @t149 @t179 @t146)) % 64.19/64.96 (define @t182 () (or @t121 @t150 @t181)) % 64.19/64.96 (define @t183 () (forall @t151 @t182)) % 64.19/64.96 (define @t184 () (@list @t141)) % 64.19/64.96 (define @t185 () (forall @t184 @t182)) % 64.19/64.96 (define @t186 () (forall @t184 @t181)) % 64.19/64.96 (define @t187 () (@list @t1)) % 64.19/64.96 (define @t188 () (or @t121 @t150 @t186)) % 64.19/64.96 (define @t189 () (tptp.memberP @t1 @t28)) % 64.19/64.96 (define @t190 () (not @t189)) % 64.19/64.96 (define @t191 () (not (forall @t33 (or @t145 (and (or @t189 @t144) (or @t143 @t190)))))) % 64.19/64.96 (define @t192 () (= @t1 tptp.nil)) % 64.19/64.96 (define @t193 () (and (or (not @t192) @t120) (or @t148 @t192))) % 64.19/64.96 (define @t194 () (or @t116 @t193 @t191)) % 64.19/64.96 (define @t195 () (or @t121 @t150 (forall @t7 @t194))) % 64.19/64.96 (define @t196 () (or @t121 @t150 @t194)) % 64.19/64.96 (define @t197 () (or @t116 @t193 @t121 @t150 @t191)) % 64.19/64.96 (define @t198 () (or @t193 @t116 @t121 @t150 @t191)) % 64.19/64.96 (define @t199 () (or @t121 @t150 @t191)) % 64.19/64.96 (define @t200 () (not (= @t2 @t2))) % 64.19/64.96 (define @t201 () (or @t121 @t200 @t150 @t191)) % 64.19/64.96 (define @t202 () (not (forall @t33 (or @t145 (and (or @t189 @t91) (or @t90 @t190)))))) % 64.19/64.96 (define @t203 () (not @t15)) % 64.19/64.96 (define @t204 () (or @t100 @t203 @t100 @t99 @t202)) % 64.19/64.96 (define @t205 () (or @t203 @t100 @t99 @t202)) % 64.19/64.96 (define @t206 () (forall @t16 @t205)) % 64.19/64.96 (define @t207 () (or @t193 @t116 @t206)) % 64.19/64.96 (define @t208 () (or @t193 @t116 @t205)) % 64.19/64.96 (define @t209 () (or @t203 @t100 @t99 @t193 @t116 @t202)) % 64.19/64.96 (define @t210 () (or @t100 @t99 @t193 @t116 @t202)) % 64.19/64.96 (define @t211 () (or @t116 @t202)) % 64.19/64.96 (define @t212 () (not (= @t1 @t1))) % 64.19/64.96 (define @t213 () (or @t116 @t212 @t202)) % 64.19/64.96 (define @t214 () (not (forall @t33 (or @t145 (and (or @t89 @t91) (or @t90 @t93)))))) % 64.19/64.96 (define @t215 () (not @t13)) % 64.19/64.96 (define @t216 () (or @t101 @t215 @t101 @t214)) % 64.19/64.96 (define @t217 () (or @t215 @t101 @t214)) % 64.19/64.96 (define @t218 () (forall @t14 @t217)) % 64.19/64.96 (define @t219 () (or @t100 @t99 @t193 @t218)) % 64.19/64.96 (define @t220 () (or @t100 @t99 @t193 @t217)) % 64.19/64.96 (define @t221 () (or @t215 @t101 @t100 @t99 @t214 @t193)) % 64.19/64.96 (define @t222 () (or @t101 @t100 @t99 @t214 @t193)) % 64.19/64.96 (define @t223 () (forall @t33 (not @t97))) % 64.19/64.96 (define @t224 () (not @t223)) % 64.19/64.96 (define @t225 () (tptp.memberP @t153 @t28)) % 64.19/64.96 (define @t226 () (tptp.memberP @t170 @t28)) % 64.19/64.96 (define @t227 () (forall @t33 (or @t145 (and (or @t225 (not @t226)) (or @t226 (not @t225)))))) % 64.19/64.96 (define @t228 () (not @t227)) % 64.19/64.96 (define @t229 () (or @t174 @t171)) % 64.19/64.96 (define @t230 () (and @t229 @t173)) % 64.19/64.96 (define @t231 () (not (tptp.duplicatefreeP @t170))) % 64.19/64.96 (define @t232 () (tptp.ssList @t170)) % 64.19/64.96 (define @t233 () (not @t232)) % 64.19/64.96 (define @t234 () (or @t233 @t231 @t159 @t230 @t228)) % 64.19/64.96 (define @t235 () (not @t234)) % 64.19/64.96 (define @t236 () (not @t152)) % 64.19/64.96 (define @t237 () (= @t170 tptp.nil)) % 64.19/64.96 (define @t238 () (not @t237)) % 64.19/64.96 (define @t239 () (or @t238 @t166)) % 64.19/64.96 (define @t240 () (or @t174 @t237)) % 64.19/64.96 (define @t241 () (and @t240 @t239)) % 64.19/64.96 (define @t242 () (or @t233 @t231 @t159 @t241 @t228)) % 64.19/64.96 (define @t243 () (not @t242)) % 64.19/64.96 (define @t244 () (@list true)) % 64.19/64.96 (define @t245 () (@list @t234)) % 64.19/64.96 (define @t246 () (not (= @t170 @t113))) % 64.19/64.96 (define @t247 () (or @t116 @t115 @t246)) % 64.19/64.96 (define @t248 () (forall @t118 @t247)) % 64.19/64.96 (define @t249 () (not @t248)) % 64.19/64.96 (define @t250 () (or @t233 @t237 @t249)) % 64.19/64.96 (define @t251 () (@list @t170)) % 64.19/64.96 (define @t252 () (forall @t118 (or @t116 @t115 (not (= @t113 @t170))))) % 64.19/64.96 (define @t253 () (not @t252)) % 64.19/64.96 (define @t254 () (or @t233 @t171 @t253)) % 64.19/64.96 (define @t255 () (or @t121 @t120 @t50)) % 64.19/64.96 (define @t256 () (=> @t148 @t50)) % 64.19/64.96 (define @t257 () (tptp.hd @t170)) % 64.19/64.96 (define @t258 () (tptp.ssItem @t257)) % 64.19/64.96 (define @t259 () (or @t233 @t237 @t258)) % 64.19/64.96 (define @t260 () (forall @t9 @t255)) % 64.19/64.96 (define @t261 () (or @t233 @t171 @t258)) % 64.19/64.96 (define @t262 () (@list @t260)) % 64.19/64.96 (define @t263 () (@quantifiers_skolemize @t252 0)) % 64.19/64.96 (define @t264 () (@quantifiers_skolemize @t252 1)) % 64.19/64.96 (define @t265 () (tptp.cons @t264 @t263)) % 64.19/64.96 (define @t266 () (= @t170 @t265)) % 64.19/64.96 (define @t267 () (not @t266)) % 64.19/64.96 (define @t268 () (tptp.ssItem @t264)) % 64.19/64.96 (define @t269 () (not @t268)) % 64.19/64.96 (define @t270 () (tptp.ssList @t263)) % 64.19/64.96 (define @t271 () (not @t270)) % 64.19/64.96 (define @t272 () (or @t271 @t269 @t267)) % 64.19/64.96 (define @t273 () (not @t272)) % 64.19/64.96 (define @t274 () (not (= @t265 @t170))) % 64.19/64.96 (define @t275 () (or @t271 @t269 @t274)) % 64.19/64.96 (define @t276 () (not @t275)) % 64.19/64.96 (define @t277 () (@list @t257)) % 64.19/64.96 (define @t278 () (tptp.memberP tptp.nil @t257)) % 64.19/64.96 (define @t279 () (not @t278)) % 64.19/64.96 (define @t280 () (not @t258)) % 64.19/64.96 (define @t281 () (or @t280 @t279)) % 64.19/64.96 (define @t282 () (tptp.memberP @t153 @t257)) % 64.19/64.96 (define @t283 () (not @t282)) % 64.19/64.96 (define @t284 () (tptp.memberP @t170 @t257)) % 64.19/64.96 (define @t285 () (not @t284)) % 64.19/64.96 (define @t286 () (or @t282 @t285)) % 64.19/64.96 (define @t287 () (and @t286 (or @t284 @t283))) % 64.19/64.96 (define @t288 () (or @t280 @t287)) % 64.19/64.96 (define @t289 () (and @t166 @t279)) % 64.19/64.96 (define @t290 () (@var "BOUND_VARIABLE_9701" $$unsorted)) % 64.19/64.96 (define @t291 () (@var "BOUND_VARIABLE_9699" $$unsorted)) % 64.19/64.96 (define @t292 () (= (tptp.memberP (tptp.cons @t291 @t290) @t2) (or (= @t2 @t291) (tptp.memberP @t290 @t2)))) % 64.19/64.96 (define @t293 () (not (tptp.ssList @t290))) % 64.19/64.96 (define @t294 () (not (tptp.ssItem @t291))) % 64.19/64.96 (define @t295 () (not @t8)) % 64.19/64.96 (define @t296 () (or @t295 @t294 @t293 @t292)) % 64.19/64.96 (define @t297 () (or @t294 @t293 @t292)) % 64.19/64.96 (define @t298 () (or @t295 @t297)) % 64.19/64.96 (define @t299 () (@list @t2 @t291 @t290)) % 64.19/64.96 (define @t300 () (forall @t299 @t298)) % 64.19/64.96 (define @t301 () (@list @t291 @t290)) % 64.19/64.96 (define @t302 () (forall @t301 @t298)) % 64.19/64.96 (define @t303 () (forall @t301 @t297)) % 64.19/64.96 (define @t304 () (@var "BOUND_VARIABLE_9680" $$unsorted)) % 64.19/64.96 (define @t305 () (or @t295 @t303)) % 64.19/64.96 (define @t306 () (= (tptp.memberP (tptp.cons @t1 @t304) @t2) (or @t3 (tptp.memberP @t304 @t2)))) % 64.19/64.96 (define @t307 () (not (tptp.ssList @t304))) % 64.19/64.96 (define @t308 () (not @t6)) % 64.19/64.96 (define @t309 () (or @t308 @t307 @t306)) % 64.19/64.96 (define @t310 () (@list @t1 @t304)) % 64.19/64.96 (define @t311 () (forall @t310 @t309)) % 64.19/64.96 (define @t312 () (or @t307 @t306)) % 64.19/64.96 (define @t313 () (or @t308 @t312)) % 64.19/64.96 (define @t314 () (forall @t310 @t313)) % 64.19/64.96 (define @t315 () (@list @t304)) % 64.19/64.96 (define @t316 () (forall @t315 @t313)) % 64.19/64.96 (define @t317 () (forall @t315 @t312)) % 64.19/64.96 (define @t318 () (or @t308 @t317)) % 64.19/64.96 (define @t319 () (forall @t16 (or @t203 @t71))) % 64.19/64.96 (define @t320 () (tptp.memberP (tptp.cons @t257 @t263) @t257)) % 64.19/64.96 (define @t321 () (tptp.memberP @t263 @t257)) % 64.19/64.96 (define @t322 () (or (= @t257 @t257) @t321)) % 64.19/64.96 (define @t323 () (= @t320 @t322)) % 64.19/64.96 (define @t324 () (or @t280 @t280 @t271 @t323)) % 64.19/64.96 (define @t325 () (forall @t299 @t296)) % 64.19/64.96 (define @t326 () (or @t280 @t280 @t271 @t320)) % 64.19/64.96 (define @t327 () (@list @t325)) % 64.19/64.96 (define @t328 () (@var "BOUND_VARIABLE_9317" $$unsorted)) % 64.19/64.96 (define @t329 () (= @t328 (tptp.hd (tptp.cons @t328 @t2)))) % 64.19/64.96 (define @t330 () (not (tptp.ssItem @t328))) % 64.19/64.96 (define @t331 () (or @t330 @t329)) % 64.19/64.96 (define @t332 () (or @t121 @t331)) % 64.19/64.96 (define @t333 () (forall (@list @t2 @t328) @t332)) % 64.19/64.96 (define @t334 () (@list @t328)) % 64.19/64.96 (define @t335 () (forall @t334 @t332)) % 64.19/64.96 (define @t336 () (forall @t334 @t331)) % 64.19/64.96 (define @t337 () (or @t121 @t336)) % 64.19/64.96 (define @t338 () (= @t1 @t55)) % 64.19/64.96 (define @t339 () (forall @t7 (or @t308 @t338))) % 64.19/64.96 (define @t340 () (tptp.hd @t265)) % 64.19/64.96 (define @t341 () (= @t264 @t340)) % 64.19/64.96 (define @t342 () (or @t271 @t269 @t341)) % 64.19/64.96 (define @t343 () (and @t266 @t341 @t320)) % 64.19/64.96 (define @t344 () (@list false true false)) % 64.19/64.96 (define @t345 () (@quantifiers_skolemize @t164 0)) % 64.19/64.96 (define @t346 () (@quantifiers_skolemize @t164 1)) % 64.19/64.96 (define @t347 () (tptp.cons @t346 @t345)) % 64.19/64.96 (define @t348 () (= @t153 @t347)) % 64.19/64.96 (define @t349 () (not @t348)) % 64.19/64.96 (define @t350 () (tptp.ssItem @t346)) % 64.19/64.96 (define @t351 () (not @t350)) % 64.19/64.96 (define @t352 () (tptp.ssList @t345)) % 64.19/64.96 (define @t353 () (not @t352)) % 64.19/64.96 (define @t354 () (or @t353 @t351 @t349)) % 64.19/64.96 (define @t355 () (not @t354)) % 64.19/64.96 (define @t356 () (not (= @t347 @t153))) % 64.19/64.96 (define @t357 () (or @t353 @t351 @t356)) % 64.19/64.96 (define @t358 () (not @t357)) % 64.19/64.96 (define @t359 () (@list @t354)) % 64.19/64.96 (define @t360 () (tptp.hd @t347)) % 64.19/64.96 (define @t361 () (= @t346 @t360)) % 64.19/64.96 (define @t362 () (or @t353 @t351 @t361)) % 64.19/64.96 (define @t363 () (@list false false false)) % 64.19/64.96 (define @t364 () (tptp.hd @t153)) % 64.19/64.96 (define @t365 () (@list @t364)) % 64.19/64.96 (define @t366 () (tptp.ssItem @t364)) % 64.19/64.96 (define @t367 () (or @t159 @t160 @t366)) % 64.19/64.96 (define @t368 () (or @t159 @t166 @t366)) % 64.19/64.96 (define @t369 () (tptp.memberP @t153 @t364)) % 64.19/64.96 (define @t370 () (not @t369)) % 64.19/64.96 (define @t371 () (tptp.memberP @t170 @t364)) % 64.19/64.96 (define @t372 () (or @t371 @t370)) % 64.19/64.96 (define @t373 () (not @t371)) % 64.19/64.96 (define @t374 () (and (or @t369 @t373) @t372)) % 64.19/64.96 (define @t375 () (not @t366)) % 64.19/64.96 (define @t376 () (or @t375 @t374)) % 64.19/64.96 (define @t377 () (@list false false)) % 64.19/64.96 (define @t378 () (tptp.memberP tptp.nil @t364)) % 64.19/64.96 (define @t379 () (not @t378)) % 64.19/64.96 (define @t380 () (or @t375 @t379)) % 64.19/64.96 (define @t381 () (@list true false)) % 64.19/64.96 (define @t382 () (and @t171 @t379)) % 64.19/64.96 (define @t383 () (tptp.memberP (tptp.cons @t364 @t345) @t364)) % 64.19/64.96 (define @t384 () (tptp.memberP @t345 @t364)) % 64.19/64.96 (define @t385 () (or (= @t364 @t364) @t384)) % 64.19/64.96 (define @t386 () (= @t383 @t385)) % 64.19/64.96 (define @t387 () (or @t375 @t375 @t353 @t386)) % 64.19/64.96 (define @t388 () (or @t375 @t375 @t353 @t383)) % 64.19/64.96 (define @t389 () (not @t383)) % 64.19/64.96 (define @t390 () (not @t361)) % 64.19/64.96 (define @t391 () (and @t383 @t348 @t361 @t370)) % 64.19/64.96 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 64.19/64.96 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 64.19/64.96 (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))))))))))) % 64.19/64.96 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 64.19/64.96 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 64.19/64.96 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 64.19/64.96 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 64.19/64.96 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 64.19/64.96 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 64.19/64.96 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 64.19/64.96 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 64.19/64.96 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 64.19/64.96 (assume @p13 (forall @t9 (=> @t17 (= @t37 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 64.19/64.96 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 64.19/64.96 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 64.19/64.96 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 64.19/64.96 (assume @p17 (tptp.ssList tptp.nil)) % 64.19/64.96 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 64.19/64.96 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t39))))))))))) % 64.19/64.96 (assume @p20 @t48) % 64.19/64.96 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 64.19/64.96 (assume @p22 @t54) % 64.19/64.96 (assume @p23 @t59) % 64.19/64.96 (assume @p24 (forall @t9 (=> @t17 (=> @t51 (tptp.ssList @t60))))) % 64.19/64.96 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 64.19/64.96 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t61)))))) % 64.19/64.96 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t62) (tptp.app @t40 @t2))))))))) % 64.19/64.96 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 64.19/64.96 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t64 @t63) @t3)))))) % 64.19/64.96 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t64 @t26) (tptp.leq @t2 @t12))))))))) % 64.19/64.96 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 64.19/64.96 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 @t63)))))) % 64.19/64.96 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (not @t66))))))) % 64.19/64.96 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t35) @t68)))))))) % 64.19/64.96 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t69 @t66)))))) % 64.19/64.96 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t70))))))))) % 64.19/64.96 (assume @p37 @t76) % 64.19/64.96 (assume @p38 @t78) % 64.19/64.96 (assume @p39 (not (tptp.singletonP tptp.nil))) % 64.19/64.96 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 64.19/64.96 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 64.19/64.96 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 64.19/64.96 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 64.19/64.96 (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)))))))))))) % 64.19/64.96 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 64.19/64.96 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 64.19/64.96 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 64.19/64.96 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 64.19/64.96 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 64.19/64.96 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t79 @t1))))))))) % 64.19/64.96 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 64.19/64.96 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 64.19/64.96 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 64.19/64.96 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 64.19/64.96 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 64.19/64.96 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t79 @t10) @t1))))))))))) % 64.19/64.96 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 64.19/64.96 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 64.19/64.96 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t80)))) % 64.19/64.96 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 64.19/64.96 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t80)))) % 64.19/64.96 (assume @p62 (tptp.totalorderP tptp.nil)) % 64.19/64.96 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t80)))) % 64.19/64.96 (assume @p64 (tptp.strictorderP tptp.nil)) % 64.19/64.96 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t80)))) % 64.19/64.96 (assume @p66 (tptp.totalorderedP tptp.nil)) % 64.19/64.96 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t84) (or @t82 (and @t83 (tptp.totalorderedP @t1) (tptp.leq @t2 @t81))))))))) % 64.19/64.96 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t80)))) % 64.19/64.96 (assume @p69 (tptp.strictorderedP tptp.nil)) % 64.19/64.96 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t84) (or @t82 (and @t83 (tptp.strictorderedP @t1) (tptp.lt @t2 @t81))))))))) % 64.19/64.96 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t80)))) % 64.19/64.96 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 64.19/64.96 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t80)))) % 64.19/64.96 (assume @p74 (tptp.equalelemsP tptp.nil)) % 64.19/64.96 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 64.19/64.96 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t60 @t1))))))) % 64.19/64.96 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t83 @t51 (= @t81 @t49) (= (tptp.tl @t1) @t60)) @t39)))))) % 64.19/64.96 (assume @p78 (forall @t9 (=> @t17 (=> @t51 (= (tptp.cons @t49 @t60) @t2))))) % 64.19/64.96 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t61) @t85)))))))) % 64.19/64.96 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t62) @t85)))))))) % 64.19/64.96 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2))))))) % 64.19/64.96 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t61 @t12) (tptp.app @t2 @t19))))))))) % 64.19/64.96 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t61) (and @t82 @t45))))))) % 64.19/64.96 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 64.19/64.96 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t61) @t49))))))) % 64.19/64.96 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t61) (tptp.app @t60 @t1)))))))) % 64.19/64.96 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t65 (tptp.geq @t1 @t2)) @t3)))))) % 64.19/64.96 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t65 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 64.19/64.96 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 64.19/64.96 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 64.19/64.96 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t64 @t35) @t68)))))))) % 64.19/64.96 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (or @t3 @t67))))))) % 64.19/64.96 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 (and @t4 @t64))))))) % 64.19/64.96 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t69 (not (tptp.gt @t1 @t2)))))))) % 64.19/64.96 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t69 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 64.19/64.96 (assume @p96 @t111) % 64.19/64.96 (assume @p97 true) % 64.19/64.96 (step @p98 :rule aci_norm :args ((= (or @t121 @t123) @t122))) % 64.19/64.96 (step @p99 :rule bool-impl-elim :args (@t17 @t123)) % 64.19/64.96 (step @p100 :rule trans :premises (@p99 @p98)) % 64.19/64.96 (step @p101 :rule cong :premises (@p100) :args ((forall @t9 (=> @t17 @t123)))) % 64.19/64.96 (step @p102 :rule aci_norm :args ((= @t125 @t117))) % 64.19/64.96 (step @p103 :rule cong :premises (@p102) :args (@t126)) % 64.19/64.96 (step @p104 :rule quant-merge-prenex :args ((= (forall @t7 @t128) @t126))) % 64.19/64.96 (step @p105 :rule alpha_equiv :args (@t129 (@list @t112) @t130)) % 64.19/64.96 (step @p106 :rule refl :args (@t116)) % 64.19/64.96 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t131)) % 64.19/64.96 (step @p108 :rule quant-miniscope-or :args ((= @t128 @t131))) % 64.19/64.96 (step @p109 :rule trans :premises (@p108 @p107)) % 64.19/64.96 (step @p110 :rule symm :premises (@p109)) % 64.19/64.96 (step @p111 :rule cong :premises (@p110) :args ((forall @t7 (or @t116 @t133)))) % 64.19/64.96 (step @p112 :rule trans :premises (@p111 @p104)) % 64.19/64.96 (step @p113 :rule trans :premises (@p112 @p103)) % 64.19/64.96 (step @p114 :rule bool-double-not-elim :args (@t133)) % 64.19/64.96 (step @p115 :rule nary_cong :premises (@p106 @p114) :args ((or @t116 (not @t134)))) % 64.19/64.96 (step @p116 :rule bool-and-de-morgan :args (@t21 @t134 true)) % 64.19/64.96 (step @p117 :rule trans :premises (@p116 @p115)) % 64.19/64.96 (step @p118 :rule cong :premises (@p117) :args (@t136)) % 64.19/64.96 (step @p119 :rule trans :premises (@p118 @p113)) % 64.19/64.96 (step @p120 :rule cong :premises (@p119) :args (@t137)) % 64.19/64.96 (step @p121 :rule exists-elim :args ((= (exists @t7 @t135) @t137))) % 64.19/64.96 (step @p122 :rule trans :premises (@p121 @p120)) % 64.19/64.96 (step @p123 :rule bool-and-de-morgan :args (@t34 @t132 true)) % 64.19/64.96 (step @p124 :rule cong :premises (@p123) :args (@t139)) % 64.19/64.96 (step @p125 :rule cong :premises (@p124) :args (@t140)) % 64.19/64.96 (step @p126 :rule exists-elim :args ((= (exists @t16 @t138) @t140))) % 64.19/64.96 (step @p127 :rule trans :premises (@p126 @p125)) % 64.19/64.96 (step @p128 :rule eq-symm :args (@t40 @t2)) % 64.19/64.96 (step @p129 :rule refl :args (@t34)) % 64.19/64.96 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t41)) % 64.19/64.96 (step @p131 :rule cong :premises (@p130) :args (@t42)) % 64.19/64.96 (step @p132 :rule trans :premises (@p131 @p127)) % 64.19/64.96 (step @p133 :rule refl :args (@t21)) % 64.19/64.96 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t43)) % 64.19/64.96 (step @p135 :rule cong :premises (@p134) :args (@t44)) % 64.19/64.96 (step @p136 :rule trans :premises (@p135 @p122)) % 64.19/64.96 (step @p137 :rule eq-symm :args (tptp.nil @t2)) % 64.19/64.96 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t46)) % 64.19/64.96 (step @p139 :rule refl :args (@t17)) % 64.19/64.96 (step @p140 :rule cong :premises (@p139 @p138) :args (@t47)) % 64.19/64.96 (step @p141 :rule cong :premises (@p140) :args (@t48)) % 64.19/64.96 (step @p142 :rule trans :premises (@p141 @p101)) % 64.19/64.96 (step @p143 :rule eq_resolve :premises (@p20 @p142)) % 64.19/64.96 (step @p144 :rule eq-symm :args (@t153 @t113)) % 64.19/64.96 (step @p145 :rule cong :premises (@p144) :args (@t154)) % 64.19/64.96 (step @p146 :rule refl :args (@t115)) % 64.19/64.96 (step @p147 :rule refl :args (@t116)) % 64.19/64.96 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args (@t155)) % 64.19/64.96 (step @p149 :rule cong :premises (@p148) :args (@t156)) % 64.19/64.96 (step @p150 :rule cong :premises (@p149) :args (@t157)) % 64.19/64.96 (step @p151 :rule eq-symm :args (@t153 tptp.nil)) % 64.19/64.96 (step @p152 :rule refl :args (@t159)) % 64.19/64.96 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150) :args (@t161)) % 64.19/64.96 (step @p154 :rule refl :args (@t162)) % 64.19/64.96 (step @p155 :rule cong :premises (@p154 @p153) :args ((=> @t162 @t161))) % 64.19/64.96 (assume-push @p786 @t162) % 64.19/64.96 (step @p157 :rule instantiate :premises (@p143) :args (@t163)) % 64.19/64.96 (step-pop @p787 :rule scope :premises (@p157)) % 64.19/64.96 (step @p158 :rule process_scope :premises (@p787) :args (@t161)) % 64.19/64.96 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 64.19/64.96 (step @p161 :rule implies_elim :premises (@p160)) % 64.19/64.96 (step @p162 :rule chain_m_resolution :premises (@p161 @p143) :args (@t167 @t168 @t169)) % 64.19/64.96 (step @p163 :rule cnf_or_neg :args (@t173 1)) % 64.19/64.96 (step @p164 :rule reordering :premises (@p163) :args ((or @t174 @t173))) % 64.19/64.96 (step @p165 :rule refl :args (@t146)) % 64.19/64.96 (step @p166 :rule eq-symm :args (@t141 tptp.nil)) % 64.19/64.96 (step @p167 :rule refl :args (@t148)) % 64.19/64.96 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t176)) % 64.19/64.96 (step @p169 :rule refl :args (@t120)) % 64.19/64.96 (step @p170 :rule cong :premises (@p166) :args (@t177)) % 64.19/64.96 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t178)) % 64.19/64.96 (step @p172 :rule nary_cong :premises (@p171 @p168) :args (@t179)) % 64.19/64.96 (step @p173 :rule refl :args (@t149)) % 64.19/64.96 (step @p174 :rule refl :args (@t150)) % 64.19/64.96 (step @p175 :rule refl :args (@t121)) % 64.19/64.96 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173 @p172 @p165) :args (@t180)) % 64.19/64.96 (step @p177 :rule aci_norm :args ((= @t182 @t180))) % 64.19/64.96 (step @p178 :rule trans :premises (@p177 @p176)) % 64.19/64.96 (step @p179 :rule cong :premises (@p178) :args (@t183)) % 64.19/64.96 (step @p180 :rule quant-merge-prenex :args ((= (forall @t9 @t185) @t183))) % 64.19/64.96 (step @p181 :rule alpha_equiv :args (@t186 (@list @t141) @t187)) % 64.19/64.96 (step @p182 :rule refl :args (@t150)) % 64.19/64.96 (step @p183 :rule refl :args (@t121)) % 64.19/64.96 (step @p184 :rule nary_cong :premises (@p183 @p182 @p181) :args (@t188)) % 64.19/64.96 (step @p185 :rule quant-miniscope-or :args ((= @t185 @t188))) % 64.19/64.96 (step @p186 :rule trans :premises (@p185 @p184)) % 64.19/64.96 (step @p187 :rule symm :premises (@p186)) % 64.19/64.96 (step @p188 :rule cong :premises (@p187) :args ((forall @t9 @t195))) % 64.19/64.96 (step @p189 :rule trans :premises (@p188 @p180)) % 64.19/64.96 (step @p190 :rule trans :premises (@p189 @p179)) % 64.19/64.96 (step @p191 :rule aci_norm :args ((= (or @t121 @t195) @t195))) % 64.19/64.96 (step @p192 :rule bool-impl-elim :args (@t17 @t195)) % 64.19/64.96 (step @p193 :rule trans :premises (@p192 @p191)) % 64.19/64.96 (step @p194 :rule cong :premises (@p193) :args ((forall @t9 (=> @t17 @t195)))) % 64.19/64.96 (step @p195 :rule trans :premises (@p194 @p190)) % 64.19/64.96 (step @p196 :rule quant-miniscope-or :args ((= (forall @t7 @t196) @t195))) % 64.19/64.96 (step @p197 :rule aci_norm :args ((= @t197 @t196))) % 64.19/64.96 (step @p198 :rule cong :premises (@p197) :args ((forall @t7 @t197))) % 64.19/64.96 (step @p199 :rule trans :premises (@p198 @p196)) % 64.19/64.96 (step @p200 :rule aci_norm :args ((= (or @t116 @t198) @t197))) % 64.19/64.96 (step @p201 :rule bool-impl-elim :args (@t21 @t198)) % 64.19/64.96 (step @p202 :rule trans :premises (@p201 @p200)) % 64.19/64.96 (step @p203 :rule cong :premises (@p202) :args ((forall @t7 (=> @t21 @t198)))) % 64.19/64.96 (step @p204 :rule trans :premises (@p203 @p199)) % 64.19/64.96 (step @p205 :rule aci_norm :args ((= (or @t193 @t116 @t199) @t198))) % 64.19/64.96 (step @p206 :rule aci_norm :args ((= (or @t121 false @t150 @t191) @t199))) % 64.19/64.96 (step @p207 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(step @p222 :rule aci_norm :args ((= @t205 @t204))) % 64.19/64.96 (step @p223 :rule trans :premises (@p222 @p221)) % 64.19/64.96 (step @p224 :rule cong :premises (@p223) :args (@t206)) % 64.19/64.96 (step @p225 :rule trans :premises (@p224 @p214)) % 64.19/64.96 (step @p226 :rule trans :premises (@p225 @p213)) % 64.19/64.96 (step @p227 :rule refl :args (@t193)) % 64.19/64.96 (step @p228 :rule nary_cong :premises (@p227 @p147 @p226) :args (@t207)) % 64.19/64.96 (step @p229 :rule trans :premises (@p228 @p205)) % 64.19/64.96 (step @p230 :rule quant-miniscope-or :args ((= (forall @t16 @t208) @t207))) % 64.19/64.96 (step @p231 :rule aci_norm :args ((= @t209 @t208))) % 64.19/64.96 (step @p232 :rule cong :premises (@p231) :args ((forall @t16 @t209))) % 64.19/64.96 (step @p233 :rule trans :premises (@p232 @p230)) % 64.19/64.96 (step @p234 :rule trans :premises (@p233 @p229)) % 64.19/64.96 (step @p235 :rule aci_norm :args ((= (or @t203 @t210) @t209))) % 64.19/64.96 (step @p236 :rule bool-impl-elim :args (@t15 @t210)) % 64.19/64.96 (step @p237 :rule trans :premises (@p236 @p235)) % 64.19/64.96 (step @p238 :rule cong :premises (@p237) :args ((forall @t16 (=> @t15 @t210)))) % 64.19/64.96 (step @p239 :rule trans :premises (@p238 @p234)) % 64.19/64.96 (step @p240 :rule aci_norm :args ((= (or @t100 @t99 @t193 @t211) @t210))) % 64.19/64.96 (step @p241 :rule aci_norm :args ((= (or @t116 false @t202) @t211))) % 64.19/64.96 (step @p242 :rule refl :args (@t202)) % 64.19/64.96 (step @p243 :rule eq-refl :args (@t1)) % 64.19/64.96 (step @p244 :rule cong :premises (@p243) :args (@t212)) % 64.19/64.96 (step @p245 :rule trans :premises (@p244 @p208)) % 64.19/64.96 (step @p246 :rule nary_cong :premises (@p147 @p245 @p242) :args (@t213)) % 64.19/64.96 (step @p247 :rule trans :premises (@p246 @p241)) % 64.19/64.96 (step @p248 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t215 @t101 @t214)) @t213))) % 64.19/64.96 (step @p249 :rule refl :args (@t214)) % 64.19/64.96 (step @p250 :rule refl :args (@t101)) % 64.19/64.96 (step @p251 :rule refl :args (@t215)) % 64.19/64.96 (step @p252 :rule eq-symm :args (@t1 @t10)) % 64.19/64.96 (step @p253 :rule cong :premises (@p252) :args (@t101)) % 64.19/64.96 (step @p254 :rule nary_cong :premises (@p253 @p251 @p250 @p249) :args (@t216)) % 64.19/64.96 (step @p255 :rule aci_norm :args ((= @t217 @t216))) % 64.19/64.96 (step @p256 :rule trans :premises (@p255 @p254)) % 64.19/64.96 (step @p257 :rule cong :premises (@p256) :args (@t218)) % 64.19/64.96 (step @p258 :rule trans :premises (@p257 @p248)) % 64.19/64.96 (step @p259 :rule trans :premises (@p258 @p247)) % 64.19/64.96 (step @p260 :rule refl :args (@t99)) % 64.19/64.96 (step @p261 :rule refl :args (@t100)) % 64.19/64.96 (step @p262 :rule nary_cong :premises (@p261 @p260 @p227 @p259) :args (@t219)) % 64.19/64.96 (step @p263 :rule trans :premises (@p262 @p240)) % 64.19/64.96 (step @p264 :rule quant-miniscope-or :args ((= (forall @t14 @t220) @t219))) % 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:rule nary_cong :premises (@p730 @p730 @p616 @p729) :args (@t387)) % 64.19/64.97 (step @p732 :rule cong :premises (@p529 @p731) :args ((=> @t325 @t387))) % 64.19/64.97 (assume-push @p830 @t325) % 64.19/64.97 (step @p734 :rule instantiate :premises (@p517) :args ((@list @t364 @t364 @t345))) % 64.19/64.97 (step-pop @p831 :rule scope :premises (@p734)) % 64.19/64.97 (step @p735 :rule process_scope :premises (@p831) :args (@t387)) % 64.19/64.97 (step @p737 :rule eq_resolve :premises (@p735 @p732)) % 64.19/64.97 (step @p738 :rule implies_elim :premises (@p737)) % 64.19/64.97 (step @p739 :rule chain_m_resolution :premises (@p738 @p517) :args (@t388 @t168 @t327)) % 64.19/64.97 (step @p740 :rule cnf_or_pos :args (@t388)) % 64.19/64.97 (step @p741 :rule factoring :premises (@p740)) % 64.19/64.97 (step @p742 :rule reordering :premises (@p741) :args ((or @t375 @t353 @t383 (not @t388)))) % 64.19/64.97 (step @p743 :rule chain_m_resolution :premises (@p742 @p665 @p648 @p739) :args (@t383 @t363 (@list @t366 @t352 @t388))) % 64.19/64.97 (step @p744 :rule refl :args (@t389)) % 64.19/64.97 (step @p745 :rule bool-double-not-elim :args (@t369)) % 64.19/64.97 (step @p746 :rule refl :args (@t390)) % 64.19/64.97 (step @p747 :rule refl :args (@t349)) % 64.19/64.97 (step @p748 :rule nary_cong :premises (@p747 @p746 @p745 @p744) :args ((or @t349 @t390 (not @t370) @t389))) % 64.19/64.97 (assume-push @p832 @t383) % 64.19/64.97 (assume-push @p833 @t348) % 64.19/64.97 (assume-push @p834 @t361) % 64.19/64.97 (assume-push @p835 @t370) % 64.19/64.97 (step @p753 :rule evaluate :args ((= false true))) % 64.19/64.97 (step @p754 :rule true_intro :premises (@p832)) % 64.19/64.97 (step @p700 :rule refl :args (@t364)) % 64.19/64.97 (step @p755 :rule refl :args (@t345)) % 64.19/64.97 (step @p756 :rule symm :premises (@p833)) % 64.19/64.97 (step @p757 :rule cong :premises (@p756) :args (@t360)) % 64.19/64.97 (step @p758 :rule trans :premises (@p834 @p757)) % 64.19/64.97 (step @p759 :rule cong :premises (@p758 @p755) :args (@t347)) % 64.19/64.97 (step @p760 :rule trans :premises (@p833 @p759)) % 64.19/64.97 (step @p761 :rule cong :premises (@p760 @p700) :args (@t369)) % 64.19/64.97 (step @p762 :rule false_intro :premises (@p835)) % 64.19/64.97 (step @p763 :rule symm :premises (@p762)) % 64.19/64.97 (step @p764 :rule trans :premises (@p763 @p761 @p754)) % 64.19/64.97 (step @p765 false :rule eq_resolve :premises (@p764 @p753)) % 64.19/64.97 (step-pop @p836 :rule scope :premises (@p765)) % 64.19/64.97 (step-pop @p837 :rule scope :premises (@p836)) % 64.19/64.97 (step-pop @p838 :rule scope :premises (@p837)) % 64.19/64.97 (step-pop @p839 :rule scope :premises (@p838)) % 64.19/64.97 (step @p766 :rule process_scope :premises (@p839) :args (false)) % 64.19/64.97 (assume-push @p840 @t348) % 64.19/64.97 (assume-push @p841 @t361) % 64.19/64.97 (assume-push @p842 @t370) % 64.19/64.97 (assume-push @p843 @t383) % 64.19/64.97 (step @p775 :rule and_intro :premises (@p843 @p840 @p841 @p842)) % 64.19/64.97 (step-pop @p844 :rule scope :premises (@p775)) % 64.19/64.97 (step-pop @p845 :rule scope :premises (@p844)) % 64.19/64.97 (step-pop @p846 :rule scope :premises (@p845)) % 64.19/64.97 (step-pop @p847 :rule scope :premises (@p846)) % 64.19/64.97 (step @p776 :rule process_scope :premises (@p847) :args (@t391)) % 64.19/64.97 (step @p781 :rule implies_elim :premises (@p776)) % 64.19/64.97 (step @p782 :rule resolution :premises (@p781 @p766) :args (true @t391)) % 64.19/64.97 (step @p783 :rule not_and :premises (@p782)) % 64.19/64.97 (step @p784 :rule eq_resolve :premises (@p783 @p748)) % 64.19/64.97 (step @p785 false :rule chain_m_resolution :premises (@p784 @p743 @p720 @p651 @p635) :args (false (@list false true false false) (@list @t383 @t369 @t361 @t348))) % 64.19/64.97 ) % 64.19/64.97 % SZS output end Proof % 64.19/64.97 % cvc5 exiting %------------------------------------------------------------------------------