%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC239+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 : n001.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 08:58:34 AM UTC 2026 % Result : Theorem 38.43s 38.68s % Output : Proof 38.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC239+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n001.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 19:31:20 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 38.43/38.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 38.43/38.68 --- Run --no-e-matching --full-saturate-quant at 6... % 38.43/38.68 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 38.43/38.68 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 38.43/38.68 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 38.43/38.68 % SZS status Theorem % 38.43/38.68 % SZS output start Proof % 38.43/38.68 ( % 38.43/38.68 (declare-sort $$unsorted 0) % 38.43/38.68 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 38.43/38.68 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 38.43/38.68 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 38.43/38.68 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 38.43/38.68 (declare-const tptp.nil $$unsorted) % 38.43/38.68 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.ssList (-> $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 38.43/38.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 38.43/38.68 (define @t1 () (@var "V" $$unsorted)) % 38.43/38.68 (define @t2 () (@var "U" $$unsorted)) % 38.43/38.68 (define @t3 () (= @t2 @t1)) % 38.43/38.68 (define @t4 () (not @t3)) % 38.43/38.68 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 38.43/38.68 (define @t6 () (tptp.ssItem @t1)) % 38.43/38.68 (define @t7 () (@list @t1)) % 38.43/38.68 (define @t8 () (tptp.ssItem @t2)) % 38.43/38.68 (define @t9 () (@list @t2)) % 38.43/38.68 (define @t10 () (@var "X" $$unsorted)) % 38.43/38.68 (define @t11 () (tptp.cons @t1 @t10)) % 38.43/38.68 (define @t12 () (@var "W" $$unsorted)) % 38.43/38.68 (define @t13 () (tptp.ssList @t10)) % 38.43/38.68 (define @t14 () (@list @t10)) % 38.43/38.68 (define @t15 () (tptp.ssList @t12)) % 38.43/38.68 (define @t16 () (@list @t12)) % 38.43/38.68 (define @t17 () (tptp.ssList @t2)) % 38.43/38.68 (define @t18 () (tptp.cons @t1 tptp.nil)) % 38.43/38.68 (define @t19 () (tptp.app @t1 @t12)) % 38.43/38.68 (define @t20 () (tptp.frontsegP @t2 @t1)) % 38.43/38.68 (define @t21 () (tptp.ssList @t1)) % 38.43/38.68 (define @t22 () (tptp.app @t12 @t1)) % 38.43/38.68 (define @t23 () (tptp.rearsegP @t2 @t1)) % 38.43/38.68 (define @t24 () (tptp.segmentP @t2 @t1)) % 38.43/38.68 (define @t25 () (tptp.leq @t12 @t1)) % 38.43/38.68 (define @t26 () (tptp.leq @t1 @t12)) % 38.43/38.68 (define @t27 () (@var "Z" $$unsorted)) % 38.43/38.68 (define @t28 () (@var "Y" $$unsorted)) % 38.43/38.68 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 38.43/38.68 (define @t30 () (tptp.ssList @t27)) % 38.43/38.68 (define @t31 () (@list @t27)) % 38.43/38.68 (define @t32 () (tptp.ssList @t28)) % 38.43/38.68 (define @t33 () (@list @t28)) % 38.43/38.68 (define @t34 () (tptp.ssItem @t12)) % 38.43/38.68 (define @t35 () (tptp.lt @t1 @t12)) % 38.43/38.68 (define @t36 () (= @t1 @t12)) % 38.43/38.68 (define @t37 () (tptp.cons @t1 @t2)) % 38.43/38.68 (define @t38 () (tptp.ssList tptp.nil)) % 38.43/38.68 (define @t39 () (= @t1 @t2)) % 38.43/38.68 (define @t40 () (tptp.cons @t12 @t1)) % 38.43/38.68 (define @t41 () (= tptp.nil @t2)) % 38.43/38.68 (define @t42 () (tptp.hd @t2)) % 38.43/38.68 (define @t43 () (not @t41)) % 38.43/38.68 (define @t44 () (tptp.tl @t2)) % 38.43/38.68 (define @t45 () (tptp.app @t2 @t1)) % 38.43/38.68 (define @t46 () (tptp.app @t1 @t2)) % 38.43/38.68 (define @t47 () (tptp.app tptp.nil @t2)) % 38.43/38.68 (define @t48 () (=> @t17 (= @t47 @t2))) % 38.43/38.68 (define @t49 () (forall @t9 @t48)) % 38.43/38.68 (define @t50 () (tptp.leq @t1 @t2)) % 38.43/38.68 (define @t51 () (tptp.leq @t2 @t1)) % 38.43/38.68 (define @t52 () (tptp.geq @t2 @t1)) % 38.43/38.68 (define @t53 () (tptp.lt @t1 @t2)) % 38.43/38.68 (define @t54 () (tptp.lt @t2 @t1)) % 38.43/38.68 (define @t55 () (tptp.lt @t2 @t12)) % 38.43/38.68 (define @t56 () (tptp.gt @t2 @t1)) % 38.43/38.68 (define @t57 () (tptp.memberP @t12 @t2)) % 38.43/38.68 (define @t58 () (not (tptp.memberP tptp.nil @t2))) % 38.43/38.68 (define @t59 () (forall @t9 (=> @t8 @t58))) % 38.43/38.68 (define @t60 () (tptp.app @t12 @t2)) % 38.43/38.68 (define @t61 () (tptp.cons @t2 tptp.nil)) % 38.43/38.68 (define @t62 () (tptp.hd @t1)) % 38.43/38.68 (define @t63 () (= tptp.nil @t1)) % 38.43/38.68 (define @t64 () (not @t63)) % 38.43/38.68 (define @t65 () (tptp.cons @t2 @t1)) % 38.43/38.68 (define @t66 () (= @t12 @t2)) % 38.43/38.68 (define @t67 () (= @t37 (tptp.app @t18 @t2))) % 38.43/38.68 (define @t68 () (forall @t7 (=> @t6 @t67))) % 38.43/38.68 (define @t69 () (=> @t17 @t68)) % 38.43/38.68 (define @t70 () (forall @t9 @t69)) % 38.43/38.68 (define @t71 () (not (= tptp.nil @t12))) % 38.43/38.68 (define @t72 () (not (= tptp.nil @t10))) % 38.43/38.68 (define @t73 () (or @t72 @t71)) % 38.43/38.68 (define @t74 () (@var "X4" $$unsorted)) % 38.43/38.68 (define @t75 () (@var "X3" $$unsorted)) % 38.43/38.68 (define @t76 () (tptp.leq @t75 @t74)) % 38.43/38.68 (define @t77 () (tptp.memberP @t10 @t74)) % 38.43/38.68 (define @t78 () (= @t75 @t74)) % 38.43/38.68 (define @t79 () (not @t78)) % 38.43/38.68 (define @t80 () (tptp.ssItem @t74)) % 38.43/38.68 (define @t81 () (and @t80 @t79 @t77 @t76)) % 38.43/38.68 (define @t82 () (@list @t74)) % 38.43/38.68 (define @t83 () (exists @t82 @t81)) % 38.43/38.68 (define @t84 () (not (tptp.memberP @t10 @t75))) % 38.43/38.68 (define @t85 () (tptp.cons @t75 tptp.nil)) % 38.43/38.68 (define @t86 () (not (= @t85 @t12))) % 38.43/38.68 (define @t87 () (or @t86 @t84 @t83)) % 38.43/38.68 (define @t88 () (tptp.ssItem @t75)) % 38.43/38.68 (define @t89 () (=> @t88 @t87)) % 38.43/38.68 (define @t90 () (@list @t75)) % 38.43/38.68 (define @t91 () (forall @t90 @t89)) % 38.43/38.68 (define @t92 () (and @t91 @t73)) % 38.43/38.68 (define @t93 () (@var "X2" $$unsorted)) % 38.43/38.68 (define @t94 () (tptp.leq @t28 @t93)) % 38.43/38.68 (define @t95 () (not (tptp.lt @t28 @t93))) % 38.43/38.68 (define @t96 () (@var "X1" $$unsorted)) % 38.43/38.68 (define @t97 () (not (tptp.memberP @t96 @t93))) % 38.43/38.68 (define @t98 () (not (tptp.memberP @t27 @t93))) % 38.43/38.68 (define @t99 () (or @t98 @t97 @t95 @t94)) % 38.43/38.68 (define @t100 () (tptp.ssItem @t93)) % 38.43/38.68 (define @t101 () (@list @t93)) % 38.43/38.68 (define @t102 () (forall @t101 (=> @t100 @t99))) % 38.43/38.68 (define @t103 () (tptp.cons @t28 tptp.nil)) % 38.43/38.68 (define @t104 () (tptp.app @t27 @t103)) % 38.43/38.68 (define @t105 () (tptp.app @t104 @t96)) % 38.43/38.68 (define @t106 () (tptp.ssList @t96)) % 38.43/38.68 (define @t107 () (and @t106 (= @t105 @t2) @t102)) % 38.43/38.68 (define @t108 () (@list @t96)) % 38.43/38.68 (define @t109 () (exists @t108 @t107)) % 38.43/38.68 (define @t110 () (and @t30 @t109)) % 38.43/38.68 (define @t111 () (exists @t31 @t110)) % 38.43/38.68 (define @t112 () (tptp.ssItem @t28)) % 38.43/38.68 (define @t113 () (and @t112 @t111)) % 38.43/38.68 (define @t114 () (exists @t33 @t113)) % 38.43/38.68 (define @t115 () (not (= @t2 @t12))) % 38.43/38.68 (define @t116 () (not (= @t1 @t10))) % 38.43/38.68 (define @t117 () (or @t116 @t115 @t41 @t114 @t92)) % 38.43/38.68 (define @t118 () (=> @t13 @t117)) % 38.43/38.68 (define @t119 () (forall @t14 @t118)) % 38.43/38.68 (define @t120 () (=> @t15 @t119)) % 38.43/38.68 (define @t121 () (forall @t16 @t120)) % 38.43/38.68 (define @t122 () (=> @t21 @t121)) % 38.43/38.68 (define @t123 () (forall @t7 @t122)) % 38.43/38.68 (define @t124 () (=> @t17 @t123)) % 38.43/38.68 (define @t125 () (forall @t9 @t124)) % 38.43/38.68 (define @t126 () (not @t125)) % 38.43/38.68 (define @t127 () (= @t2 tptp.nil)) % 38.43/38.68 (define @t128 () (not @t127)) % 38.43/38.68 (define @t129 () (@var "BOUND_VARIABLE_11237" $$unsorted)) % 38.43/38.68 (define @t130 () (not (= @t129 tptp.nil))) % 38.43/38.68 (define @t131 () (or @t130 @t128)) % 38.43/38.68 (define @t132 () (@var "BOUND_VARIABLE_11239" $$unsorted)) % 38.43/38.68 (define @t133 () (not @t80)) % 38.43/38.68 (define @t134 () (or (not (tptp.ssItem @t132)) (not (= @t2 (tptp.cons @t132 tptp.nil))) (not (tptp.memberP @t129 @t132)) (not (forall @t82 (or @t133 (= @t74 @t132) (not (tptp.memberP @t129 @t74)) (not (tptp.leq @t132 @t74))))))) % 38.43/38.68 (define @t135 () (and @t134 @t131)) % 38.43/38.68 (define @t136 () (not (tptp.ssList @t129))) % 38.43/38.68 (define @t137 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 38.43/38.68 (define @t138 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 38.43/38.68 (define @t139 () (not @t100)) % 38.43/38.68 (define @t140 () (not (forall @t101 (or @t139 (not (tptp.memberP @t138 @t93)) (not (tptp.memberP @t137 @t93)) @t95 @t94)))) % 38.43/38.68 (define @t141 () (tptp.app (tptp.app @t138 @t103) @t137)) % 38.43/38.68 (define @t142 () (not (= @t2 @t141))) % 38.43/38.68 (define @t143 () (not (tptp.ssList @t137))) % 38.43/38.68 (define @t144 () (not (tptp.ssList @t138))) % 38.43/38.68 (define @t145 () (not @t112)) % 38.43/38.68 (define @t146 () (or @t145 @t144 @t143 @t142 @t140)) % 38.43/38.68 (define @t147 () (@list @t28 @t138 @t137)) % 38.43/38.68 (define @t148 () (not (forall @t147 @t146))) % 38.43/38.68 (define @t149 () (not @t17)) % 38.43/38.68 (define @t150 () (or @t149 @t127 @t148 @t136 @t135)) % 38.43/38.68 (define @t151 () (or @t136 @t135)) % 38.43/38.68 (define @t152 () (or @t149 @t127 @t148 @t151)) % 38.43/38.68 (define @t153 () (@list @t2 @t129 @t132)) % 38.43/38.68 (define @t154 () (forall @t153 @t152)) % 38.43/38.68 (define @t155 () (@list @t129 @t132)) % 38.43/38.68 (define @t156 () (forall @t155 @t152)) % 38.43/38.68 (define @t157 () (forall @t155 @t151)) % 38.43/38.68 (define @t158 () (@var "BOUND_VARIABLE_11212" $$unsorted)) % 38.43/38.68 (define @t159 () (or @t149 @t127 @t148 @t157)) % 38.43/38.68 (define @t160 () (not (= @t1 tptp.nil))) % 38.43/38.68 (define @t161 () (or @t160 @t128)) % 38.43/38.68 (define @t162 () (not (tptp.memberP @t1 @t74))) % 38.43/38.68 (define @t163 () (or (not (tptp.ssItem @t158)) (not (= @t2 (tptp.cons @t158 tptp.nil))) (not (tptp.memberP @t1 @t158)) (not (forall @t82 (or @t133 (= @t74 @t158) @t162 (not (tptp.leq @t158 @t74))))))) % 38.43/38.68 (define @t164 () (and @t163 @t161)) % 38.43/38.68 (define @t165 () (not @t21)) % 38.43/38.68 (define @t166 () (or @t165 @t164)) % 38.43/38.68 (define @t167 () (forall (@list @t1 @t158) @t166)) % 38.43/38.68 (define @t168 () (or @t149 @t127 @t148 @t167)) % 38.43/38.68 (define @t169 () (or @t127 @t148 @t149 @t167)) % 38.43/38.68 (define @t170 () (@list @t158)) % 38.43/38.68 (define @t171 () (forall @t170 @t166)) % 38.43/38.68 (define @t172 () (forall @t170 @t161)) % 38.43/38.68 (define @t173 () (forall @t170 @t163)) % 38.43/38.68 (define @t174 () (@var "BOUND_VARIABLE_11181" $$unsorted)) % 38.43/38.68 (define @t175 () (@list @t174)) % 38.43/38.68 (define @t176 () (and @t173 @t172)) % 38.43/38.68 (define @t177 () (forall @t170 @t164)) % 38.43/38.68 (define @t178 () (or @t165 @t177)) % 38.43/38.68 (define @t179 () (and (forall (@list @t174) (or (not (tptp.ssItem @t174)) (not (= @t2 (tptp.cons @t174 tptp.nil))) (not (tptp.memberP @t1 @t174)) (not (forall @t82 (or @t133 (= @t74 @t174) @t162 (not (tptp.leq @t174 @t74))))))) @t161)) % 38.43/38.68 (define @t180 () (or @t165 @t179)) % 38.43/38.68 (define @t181 () (forall @t7 @t180)) % 38.43/38.68 (define @t182 () (or @t127 @t148 @t149 @t181)) % 38.43/38.68 (define @t183 () (or @t127 @t148 @t149 @t180)) % 38.43/38.68 (define @t184 () (or @t165 @t127 @t148 @t149 @t179)) % 38.43/38.68 (define @t185 () (or @t127 @t148 @t165 @t149 @t179)) % 38.43/38.68 (define @t186 () (@var "BOUND_VARIABLE_11146" $$unsorted)) % 38.43/38.68 (define @t187 () (@list @t186)) % 38.43/38.68 (define @t188 () (forall @t187 @t161)) % 38.43/38.68 (define @t189 () (not (forall @t82 (or @t133 (= @t74 @t186) @t162 (not (tptp.leq @t186 @t74)))))) % 38.43/38.68 (define @t190 () (not (tptp.memberP @t1 @t186))) % 38.43/38.68 (define @t191 () (tptp.cons @t186 tptp.nil)) % 38.43/38.68 (define @t192 () (not (tptp.ssItem @t186))) % 38.43/38.68 (define @t193 () (or @t192 (not (= @t2 @t191)) @t190 @t189)) % 38.43/38.68 (define @t194 () (forall @t187 @t193)) % 38.43/38.68 (define @t195 () (@list @t186)) % 38.43/38.68 (define @t196 () (and @t194 @t188)) % 38.43/38.68 (define @t197 () (and @t193 @t161)) % 38.43/38.68 (define @t198 () (forall @t187 @t197)) % 38.43/38.68 (define @t199 () (or @t149 @t198)) % 38.43/38.68 (define @t200 () (or @t149 @t197)) % 38.43/38.68 (define @t201 () (not (= @t2 @t2))) % 38.43/38.68 (define @t202 () (or @t149 @t201 @t197)) % 38.43/38.68 (define @t203 () (not (= @t12 tptp.nil))) % 38.43/38.68 (define @t204 () (or @t160 @t203)) % 38.43/38.68 (define @t205 () (or @t192 (not (= @t12 @t191)) @t190 @t189)) % 38.43/38.68 (define @t206 () (and @t205 @t204)) % 38.43/38.68 (define @t207 () (not @t15)) % 38.43/38.68 (define @t208 () (or @t115 @t207 @t115 @t206)) % 38.43/38.68 (define @t209 () (or @t207 @t115 @t206)) % 38.43/38.68 (define @t210 () (forall @t16 @t209)) % 38.43/38.68 (define @t211 () (forall @t187 @t210)) % 38.43/38.68 (define @t212 () (forall (@list @t186 @t12) @t209)) % 38.43/38.68 (define @t213 () (forall (@list @t12 @t186) @t209)) % 38.43/38.68 (define @t214 () (forall @t187 @t209)) % 38.43/38.68 (define @t215 () (forall @t187 @t204)) % 38.43/38.68 (define @t216 () (forall @t187 @t205)) % 38.43/38.68 (define @t217 () (@var "BOUND_VARIABLE_11115" $$unsorted)) % 38.43/38.68 (define @t218 () (@list @t217)) % 38.43/38.68 (define @t219 () (and @t216 @t215)) % 38.43/38.68 (define @t220 () (forall @t187 @t206)) % 38.43/38.68 (define @t221 () (or @t207 @t115 @t220)) % 38.43/38.68 (define @t222 () (and (forall (@list @t217) (or (not (tptp.ssItem @t217)) (not (= @t12 (tptp.cons @t217 tptp.nil))) (not (tptp.memberP @t1 @t217)) (not (forall @t82 (or @t133 (= @t74 @t217) @t162 (not (tptp.leq @t217 @t74))))))) @t204)) % 38.43/38.68 (define @t223 () (or @t207 @t115 @t222)) % 38.43/38.68 (define @t224 () (forall @t16 @t223)) % 38.43/38.68 (define @t225 () (or @t127 @t148 @t165 @t224)) % 38.43/38.68 (define @t226 () (or @t127 @t148 @t165 @t223)) % 38.43/38.68 (define @t227 () (or @t207 @t115 @t127 @t148 @t165 @t222)) % 38.43/38.68 (define @t228 () (or @t115 @t127 @t148 @t165 @t222)) % 38.43/38.68 (define @t229 () (@var "BOUND_VARIABLE_11069" $$unsorted)) % 38.43/38.68 (define @t230 () (@list @t229)) % 38.43/38.68 (define @t231 () (forall @t230 @t204)) % 38.43/38.68 (define @t232 () (not (tptp.leq @t229 @t74))) % 38.43/38.68 (define @t233 () (= @t74 @t229)) % 38.43/38.68 (define @t234 () (not (= @t12 (tptp.cons @t229 tptp.nil)))) % 38.43/38.68 (define @t235 () (not (tptp.ssItem @t229))) % 38.43/38.68 (define @t236 () (or @t235 @t234 (not (tptp.memberP @t1 @t229)) (not (forall @t82 (or @t133 @t233 @t162 @t232))))) % 38.43/38.68 (define @t237 () (forall @t230 @t236)) % 38.43/38.68 (define @t238 () (@list @t229)) % 38.43/38.68 (define @t239 () (and @t237 @t231)) % 38.43/38.68 (define @t240 () (and @t236 @t204)) % 38.43/38.68 (define @t241 () (forall @t230 @t240)) % 38.43/38.68 (define @t242 () (or @t165 @t241)) % 38.43/38.68 (define @t243 () (or @t165 @t240)) % 38.43/38.68 (define @t244 () (not (= @t1 @t1))) % 38.43/38.68 (define @t245 () (or @t165 @t244 @t240)) % 38.43/38.68 (define @t246 () (or (not (= @t10 tptp.nil)) @t203)) % 38.43/38.68 (define @t247 () (not @t77)) % 38.43/38.68 (define @t248 () (not (tptp.memberP @t10 @t229))) % 38.43/38.68 (define @t249 () (and (or @t235 @t234 @t248 (not (forall @t82 (or @t133 @t233 @t247 @t232)))) @t246)) % 38.43/38.68 (define @t250 () (not @t13)) % 38.43/38.68 (define @t251 () (or @t116 @t250 @t116 @t249)) % 38.43/38.68 (define @t252 () (or @t250 @t116 @t249)) % 38.43/38.68 (define @t253 () (forall @t14 @t252)) % 38.43/38.68 (define @t254 () (forall @t230 @t253)) % 38.43/38.68 (define @t255 () (forall (@list @t229 @t10) @t252)) % 38.43/38.68 (define @t256 () (@list @t10 @t229)) % 38.43/38.68 (define @t257 () (or @t133 (= @t229 @t74) @t247 @t232)) % 38.43/38.68 (define @t258 () (forall @t82 @t257)) % 38.43/38.68 (define @t259 () (not @t258)) % 38.43/38.68 (define @t260 () (or @t235 @t234 @t248 @t259)) % 38.43/38.68 (define @t261 () (and @t260 @t246)) % 38.43/38.68 (define @t262 () (or @t250 @t116 @t261)) % 38.43/38.68 (define @t263 () (forall @t256 @t262)) % 38.43/38.68 (define @t264 () (forall @t230 @t262)) % 38.43/38.68 (define @t265 () (forall @t230 @t246)) % 38.43/38.68 (define @t266 () (forall @t230 @t260)) % 38.43/38.68 (define @t267 () (and @t266 @t265)) % 38.43/38.68 (define @t268 () (forall @t230 @t261)) % 38.43/38.68 (define @t269 () (or @t250 @t116 @t268)) % 38.43/38.68 (define @t270 () (not @t76)) % 38.43/38.68 (define @t271 () (not (forall @t82 (or @t133 @t78 @t247 @t270)))) % 38.43/38.68 (define @t272 () (not (= @t12 @t85))) % 38.43/38.68 (define @t273 () (not @t88)) % 38.43/38.68 (define @t274 () (or @t273 @t272 @t84 @t271)) % 38.43/38.68 (define @t275 () (and (forall @t90 @t274) @t246)) % 38.43/38.68 (define @t276 () (or @t250 @t116 @t275)) % 38.43/38.68 (define @t277 () (forall @t14 @t276)) % 38.43/38.68 (define @t278 () (or @t115 @t127 @t148 @t277)) % 38.43/38.68 (define @t279 () (or @t115 @t127 @t148 @t276)) % 38.43/38.68 (define @t280 () (or @t250 @t116 @t115 @t127 @t148 @t275)) % 38.43/38.68 (define @t281 () (or @t116 @t115 @t127 @t148 @t275)) % 38.43/38.68 (define @t282 () (or @t272 @t84 @t271)) % 38.43/38.68 (define @t283 () (not @t79)) % 38.43/38.68 (define @t284 () (or @t133 @t283 @t247 @t270)) % 38.43/38.68 (define @t285 () (forall @t82 (not @t81))) % 38.43/38.68 (define @t286 () (not @t285)) % 38.43/38.68 (define @t287 () (or @t144 @t143 @t142 @t140)) % 38.43/38.68 (define @t288 () (or @t145 @t287)) % 38.43/38.68 (define @t289 () (forall @t147 @t288)) % 38.43/38.68 (define @t290 () (@list @t138 @t137)) % 38.43/38.68 (define @t291 () (forall @t290 @t288)) % 38.43/38.68 (define @t292 () (forall @t290 @t287)) % 38.43/38.68 (define @t293 () (@var "BOUND_VARIABLE_10985" $$unsorted)) % 38.43/38.68 (define @t294 () (or @t145 @t292)) % 38.43/38.68 (define @t295 () (not (forall @t101 (or @t139 @t98 (not (tptp.memberP @t293 @t93)) @t95 @t94)))) % 38.43/38.68 (define @t296 () (not (= @t2 (tptp.app @t104 @t293)))) % 38.43/38.68 (define @t297 () (not (tptp.ssList @t293))) % 38.43/38.68 (define @t298 () (not @t30)) % 38.43/38.68 (define @t299 () (or @t298 @t297 @t296 @t295)) % 38.43/38.68 (define @t300 () (@list @t27 @t293)) % 38.43/38.68 (define @t301 () (forall @t300 @t299)) % 38.43/38.68 (define @t302 () (not @t301)) % 38.43/38.68 (define @t303 () (and @t112 @t302)) % 38.43/38.68 (define @t304 () (forall @t33 (not @t303))) % 38.43/38.68 (define @t305 () (not @t304)) % 38.43/38.68 (define @t306 () (or @t297 @t296 @t295)) % 38.43/38.68 (define @t307 () (or @t298 @t306)) % 38.43/38.68 (define @t308 () (forall @t300 @t307)) % 38.43/38.68 (define @t309 () (@list @t293)) % 38.43/38.68 (define @t310 () (forall @t309 @t307)) % 38.43/38.68 (define @t311 () (forall @t309 @t306)) % 38.43/38.68 (define @t312 () (or @t298 @t311)) % 38.43/38.68 (define @t313 () (or @t139 @t98 @t97 @t95 @t94)) % 38.43/38.68 (define @t314 () (forall @t101 @t313)) % 38.43/38.68 (define @t315 () (not @t314)) % 38.43/38.68 (define @t316 () (= @t2 @t105)) % 38.43/38.68 (define @t317 () (not @t316)) % 38.43/38.68 (define @t318 () (not @t106)) % 38.43/38.68 (define @t319 () (or @t318 @t317 @t315)) % 38.43/38.68 (define @t320 () (forall @t108 @t319)) % 38.43/38.68 (define @t321 () (not @t320)) % 38.43/38.68 (define @t322 () (and @t30 @t321)) % 38.43/38.68 (define @t323 () (forall @t31 (not @t322))) % 38.43/38.68 (define @t324 () (not @t323)) % 38.43/38.68 (define @t325 () (and @t106 @t316 @t314)) % 38.43/38.68 (define @t326 () (forall @t108 (not @t325))) % 38.43/38.68 (define @t327 () (not @t326)) % 38.43/38.68 (define @t328 () (forall @t153 (or @t149 @t127 @t148 @t136 (and @t134 (or (not (= tptp.nil @t129)) @t128))))) % 38.43/38.68 (define @t329 () (@quantifiers_skolemize @t328 0)) % 38.43/38.68 (define @t330 () (= tptp.nil @t329)) % 38.43/38.68 (define @t331 () (not @t330)) % 38.43/38.68 (define @t332 () (@quantifiers_skolemize @t328 1)) % 38.43/38.68 (define @t333 () (not (= tptp.nil @t332))) % 38.43/38.68 (define @t334 () (or @t333 @t331)) % 38.43/38.68 (define @t335 () (@quantifiers_skolemize @t328 2)) % 38.43/38.68 (define @t336 () (tptp.cons @t335 tptp.nil)) % 38.43/38.68 (define @t337 () (= @t329 @t336)) % 38.43/38.68 (define @t338 () (not @t337)) % 38.43/38.68 (define @t339 () (tptp.ssItem @t335)) % 38.43/38.68 (define @t340 () (not @t339)) % 38.43/38.68 (define @t341 () (or @t340 @t338 (not (tptp.memberP @t332 @t335)) (not (forall @t82 (or @t133 (= @t74 @t335) (not (tptp.memberP @t332 @t74)) (not (tptp.leq @t335 @t74))))))) % 38.43/38.68 (define @t342 () (and @t341 @t334)) % 38.43/38.68 (define @t343 () (not (tptp.ssList @t332))) % 38.43/38.68 (define @t344 () (forall @t147 (or @t145 @t144 @t143 (not (= @t141 @t329)) @t140))) % 38.43/38.68 (define @t345 () (not @t344)) % 38.43/38.68 (define @t346 () (tptp.ssList @t329)) % 38.43/38.68 (define @t347 () (not @t346)) % 38.43/38.68 (define @t348 () (or @t347 @t330 @t345 @t343 @t342)) % 38.43/38.68 (define @t349 () (not @t348)) % 38.43/38.68 (define @t350 () (not @t328)) % 38.43/38.68 (define @t351 () (= @t329 tptp.nil)) % 38.43/38.68 (define @t352 () (not @t351)) % 38.43/38.68 (define @t353 () (or @t333 @t352)) % 38.43/38.68 (define @t354 () (and @t341 @t353)) % 38.43/38.68 (define @t355 () (not (= @t329 @t141))) % 38.43/38.68 (define @t356 () (or @t145 @t144 @t143 @t355 @t140)) % 38.43/38.68 (define @t357 () (forall @t147 @t356)) % 38.43/38.68 (define @t358 () (not @t357)) % 38.43/38.68 (define @t359 () (or @t347 @t351 @t358 @t343 @t354)) % 38.43/38.68 (define @t360 () (not @t359)) % 38.43/38.68 (define @t361 () (@list true)) % 38.43/38.68 (define @t362 () (@list @t348)) % 38.43/38.68 (define @t363 () (tptp.leq @t335 @t93)) % 38.43/38.68 (define @t364 () (not (tptp.lt @t335 @t93))) % 38.43/38.68 (define @t365 () (not (tptp.memberP tptp.nil @t93))) % 38.43/38.68 (define @t366 () (or @t139 @t365 @t364 @t363)) % 38.43/38.68 (define @t367 () (or @t139 @t365 @t365 @t364 @t363)) % 38.43/38.68 (define @t368 () (forall @t101 @t367)) % 38.43/38.68 (define @t369 () (not @t368)) % 38.43/38.68 (define @t370 () (tptp.app (tptp.app tptp.nil @t336) tptp.nil)) % 38.43/38.68 (define @t371 () (not (= @t370 @t329))) % 38.43/38.68 (define @t372 () (not @t38)) % 38.43/38.68 (define @t373 () (or @t340 @t372 @t372 @t371 @t369)) % 38.43/38.68 (define @t374 () (forall @t101 @t366)) % 38.43/38.68 (define @t375 () (not @t374)) % 38.43/38.68 (define @t376 () (= @t329 @t370)) % 38.43/38.68 (define @t377 () (not @t376)) % 38.43/38.68 (define @t378 () (or @t340 @t372 @t372 @t377 @t375)) % 38.43/38.68 (define @t379 () (@list true false)) % 38.43/38.68 (define @t380 () (@list @t341)) % 38.43/38.68 (define @t381 () (tptp.app tptp.nil @t329)) % 38.43/38.68 (define @t382 () (= @t2 @t47)) % 38.43/38.68 (define @t383 () (= @t329 @t381)) % 38.43/38.68 (define @t384 () (or @t347 @t383)) % 38.43/38.68 (define @t385 () (@list false false)) % 38.43/38.68 (define @t386 () (tptp.app @t336 tptp.nil)) % 38.43/38.68 (define @t387 () (@var "BOUND_VARIABLE_10564" $$unsorted)) % 38.43/38.68 (define @t388 () (= (tptp.cons @t387 @t2) (tptp.app (tptp.cons @t387 tptp.nil) @t2))) % 38.43/38.68 (define @t389 () (not (tptp.ssItem @t387))) % 38.43/38.68 (define @t390 () (or @t389 @t388)) % 38.43/38.68 (define @t391 () (or @t149 @t390)) % 38.43/38.68 (define @t392 () (forall (@list @t2 @t387) @t391)) % 38.43/38.68 (define @t393 () (@list @t387)) % 38.43/38.68 (define @t394 () (forall @t393 @t391)) % 38.43/38.68 (define @t395 () (forall @t393 @t390)) % 38.43/38.68 (define @t396 () (or @t149 @t395)) % 38.43/38.68 (define @t397 () (forall @t7 (or (not @t6) @t67))) % 38.43/38.68 (define @t398 () (= @t336 @t386)) % 38.43/38.68 (define @t399 () (or @t372 @t340 @t398)) % 38.43/38.68 (define @t400 () (@quantifiers_skolemize @t374 0)) % 38.43/38.68 (define @t401 () (tptp.memberP tptp.nil @t400)) % 38.43/38.68 (define @t402 () (not @t401)) % 38.43/38.68 (define @t403 () (tptp.ssItem @t400)) % 38.43/38.68 (define @t404 () (not @t403)) % 38.43/38.68 (define @t405 () (or @t404 @t402 (not (tptp.lt @t335 @t400)) (tptp.leq @t335 @t400))) % 38.43/38.68 (define @t406 () (@list @t405)) % 38.43/38.68 (define @t407 () (or @t404 @t402)) % 38.43/38.68 (define @t408 () (not @t407)) % 38.43/38.68 (define @t409 () (forall @t9 (or (not @t8) @t58))) % 38.43/38.68 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 38.43/38.68 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 38.43/38.68 (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))))))))))) % 38.43/38.68 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 38.43/38.68 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 38.43/38.68 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 38.43/38.68 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 38.43/38.68 (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))))))))))))))))) % 38.43/38.68 (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)))))))))))))))) % 38.43/38.68 (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))))))))))))))))) % 38.43/38.68 (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))))))))))))))) % 38.43/38.68 (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))))))))))))))) % 38.43/38.68 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 38.43/38.68 (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))))))))))))) % 38.43/38.68 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 38.43/38.68 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 38.43/38.68 (assume @p17 @t38) % 38.43/38.68 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 38.43/38.68 (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))))))))))) % 38.43/38.68 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 38.43/38.68 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 38.43/38.68 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 38.43/38.68 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 38.43/38.68 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 38.43/38.68 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 38.43/38.68 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 38.43/38.68 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 38.43/38.68 (assume @p28 @t49) % 38.43/38.68 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t51 @t50) @t3)))))) % 38.43/38.68 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t26) (tptp.leq @t2 @t12))))))))) % 38.43/38.68 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 38.43/38.68 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t50)))))) % 38.43/38.68 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (not @t53))))))) % 38.43/38.68 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t35) @t55)))))))) % 38.43/38.68 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t53)))))) % 38.43/38.68 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t57))))))))) % 38.43/38.68 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t57))))))))) % 38.43/38.68 (assume @p38 @t59) % 38.43/38.68 (assume @p39 (not (tptp.singletonP tptp.nil))) % 38.43/38.68 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 38.43/38.68 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 38.43/38.68 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 38.43/38.68 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 38.43/38.68 (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)))))))))))) % 38.43/38.68 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 38.43/38.68 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 38.43/38.68 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 38.43/38.68 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 38.43/38.68 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 38.43/38.68 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t60 @t1))))))))) % 38.43/38.68 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 38.43/38.68 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 38.43/38.68 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 38.43/38.68 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 38.43/38.68 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 38.43/38.68 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t60 @t10) @t1))))))))))) % 38.43/38.68 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 38.43/38.68 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 38.43/38.68 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t61)))) % 38.43/38.68 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 38.43/38.68 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t61)))) % 38.43/38.68 (assume @p62 (tptp.totalorderP tptp.nil)) % 38.43/38.68 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t61)))) % 38.43/38.68 (assume @p64 (tptp.strictorderP tptp.nil)) % 38.43/38.68 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t61)))) % 38.43/38.68 (assume @p66 (tptp.totalorderedP tptp.nil)) % 38.43/38.68 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t65) (or @t63 (and @t64 (tptp.totalorderedP @t1) (tptp.leq @t2 @t62))))))))) % 38.43/38.68 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t61)))) % 38.43/38.68 (assume @p69 (tptp.strictorderedP tptp.nil)) % 38.43/38.68 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t65) (or @t63 (and @t64 (tptp.strictorderedP @t1) (tptp.lt @t2 @t62))))))))) % 38.43/38.68 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t61)))) % 38.43/38.68 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 38.43/38.68 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t61)))) % 38.43/38.68 (assume @p74 (tptp.equalelemsP tptp.nil)) % 38.43/38.68 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 38.43/38.68 (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1))))))) % 38.43/38.68 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t64 @t43 (= @t62 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 38.43/38.68 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 38.43/38.68 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t66)))))))) % 38.43/38.68 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t46) @t66)))))))) % 38.43/38.68 (assume @p81 @t70) % 38.43/38.68 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 38.43/38.68 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t63 @t41))))))) % 38.43/38.68 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 38.43/38.68 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 38.43/38.68 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 38.43/38.68 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 (tptp.geq @t1 @t2)) @t3)))))) % 38.43/38.68 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 38.43/38.68 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 38.43/38.68 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 38.43/38.68 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t55)))))))) % 38.43/38.68 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (or @t3 @t54))))))) % 38.43/38.68 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 (and @t4 @t51))))))) % 38.43/38.68 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (not (tptp.gt @t1 @t2)))))))) % 38.43/38.68 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 38.43/38.68 (assume @p96 @t126) % 38.43/38.68 (assume @p97 true) % 38.43/38.68 (step @p98 :rule bool-impl-elim :args (@t8 @t58)) % 38.43/38.68 (step @p99 :rule cong :premises (@p98) :args (@t59)) % 38.43/38.68 (step @p100 :rule eq_resolve :premises (@p38 @p99)) % 38.43/38.68 (step @p101 :rule refl :args (@t128)) % 38.43/38.68 (step @p102 :rule eq-symm :args (@t129 tptp.nil)) % 38.43/38.68 (step @p103 :rule cong :premises (@p102) :args (@t130)) % 38.43/38.68 (step @p104 :rule nary_cong :premises (@p103 @p101) :args (@t131)) % 38.43/38.68 (step @p105 :rule refl :args (@t134)) % 38.43/38.68 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t135)) % 38.43/38.68 (step @p107 :rule refl :args (@t136)) % 38.43/38.68 (step @p108 :rule refl :args (@t148)) % 38.43/38.68 (step @p109 :rule refl :args (@t127)) % 38.43/38.68 (step @p110 :rule refl :args (@t149)) % 38.43/38.68 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108 @p107 @p106) :args (@t150)) % 38.43/38.68 (step @p112 :rule aci_norm :args ((= @t152 @t150))) % 38.43/38.68 (step @p113 :rule trans :premises (@p112 @p111)) % 38.43/38.68 (step @p114 :rule cong :premises (@p113) :args (@t154)) % 38.43/38.68 (step @p115 :rule quant-merge-prenex :args ((= (forall @t9 @t156) @t154))) % 38.43/38.68 (step @p116 :rule alpha_equiv :args (@t157 (@list @t129 @t132) (@list @t1 @t158))) % 38.43/38.68 (step @p117 :rule refl :args (@t148)) % 38.43/38.68 (step @p118 :rule refl :args (@t127)) % 38.43/38.68 (step @p119 :rule refl :args (@t149)) % 38.43/38.68 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116) :args (@t159)) % 38.43/38.68 (step @p121 :rule quant-miniscope-or :args ((= @t156 @t159))) % 38.43/38.68 (step @p122 :rule trans :premises (@p121 @p120)) % 38.43/38.68 (step @p123 :rule symm :premises (@p122)) % 38.43/38.68 (step @p124 :rule cong :premises (@p123) :args ((forall @t9 @t168))) % 38.43/38.68 (step @p125 :rule trans :premises (@p124 @p115)) % 38.43/38.68 (step @p126 :rule trans :premises (@p125 @p114)) % 38.43/38.68 (step @p127 :rule aci_norm :args ((= (or @t149 @t169) @t168))) % 38.43/38.68 (step @p128 :rule bool-impl-elim :args (@t17 @t169)) % 38.43/38.68 (step @p129 :rule trans :premises (@p128 @p127)) % 38.43/38.68 (step @p130 :rule cong :premises (@p129) :args ((forall @t9 (=> @t17 @t169)))) % 38.43/38.68 (step @p131 :rule trans :premises (@p130 @p126)) % 38.43/38.68 (step @p132 :rule quant-merge-prenex :args ((= (forall @t7 @t171) @t167))) % 38.43/38.68 (step @p133 :rule quant-unused-vars :args ((= @t172 @t161))) % 38.43/38.68 (step @p134 :rule alpha_equiv :args (@t173 (@list @t158) @t175)) % 38.43/38.68 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t176)) % 38.43/38.68 (step @p136 :rule quant-miniscope-and :args ((= @t177 @t176))) % 38.43/38.68 (step @p137 :rule trans :premises (@p136 @p135)) % 38.43/38.68 (step @p138 :rule refl :args (@t165)) % 38.43/38.68 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t178)) % 38.43/38.68 (step @p140 :rule quant-miniscope-or :args ((= @t171 @t178))) % 38.43/38.68 (step @p141 :rule trans :premises (@p140 @p139)) % 38.43/38.68 (step @p142 :rule symm :premises (@p141)) % 38.43/38.68 (step @p143 :rule cong :premises (@p142) :args (@t181)) % 38.43/38.68 (step @p144 :rule trans :premises (@p143 @p132)) % 38.43/38.68 (step @p145 :rule nary_cong :premises (@p109 @p108 @p110 @p144) :args (@t182)) % 38.43/38.68 (step @p146 :rule quant-miniscope-or :args ((= (forall @t7 @t183) @t182))) % 38.43/38.68 (step @p147 :rule aci_norm :args ((= @t184 @t183))) % 38.43/38.68 (step @p148 :rule cong :premises (@p147) :args ((forall @t7 @t184))) % 38.43/38.68 (step @p149 :rule trans :premises (@p148 @p146)) % 38.43/38.68 (step @p150 :rule trans :premises (@p149 @p145)) % 38.43/38.68 (step @p151 :rule aci_norm :args ((= (or @t165 @t185) @t184))) % 38.43/38.68 (step @p152 :rule bool-impl-elim :args (@t21 @t185)) % 38.43/38.68 (step @p153 :rule trans :premises (@p152 @p151)) % 38.43/38.68 (step @p154 :rule cong :premises (@p153) :args ((forall @t7 (=> @t21 @t185)))) % 38.43/38.68 (step @p155 :rule trans :premises (@p154 @p150)) % 38.43/38.68 (step @p156 :rule aci_norm :args ((= (or @t127 @t148 @t165 (or @t149 @t179)) @t185))) % 38.43/38.68 (step @p157 :rule quant-unused-vars :args ((= @t188 @t161))) % 38.43/38.68 (step @p158 :rule alpha_equiv :args (@t194 @t195 @t175)) % 38.43/38.68 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t196)) % 38.43/38.68 (step @p160 :rule quant-miniscope-and :args ((= @t198 @t196))) % 38.43/38.68 (step @p161 :rule trans :premises (@p160 @p159)) % 38.43/38.68 (step @p162 :rule nary_cong :premises (@p110 @p161) :args (@t199)) % 38.43/38.68 (step @p163 :rule quant-miniscope-or :args ((= (forall @t187 @t200) @t199))) % 38.43/38.68 (step @p164 :rule trans :premises (@p163 @p162)) % 38.43/38.68 (step @p165 :rule aci_norm :args ((= (or @t149 false @t197) @t200))) % 38.43/38.68 (step @p166 :rule refl :args (@t197)) % 38.43/38.68 (step @p167 :rule evaluate :args ((not true))) % 38.43/38.68 (step @p168 :rule eq-refl :args (@t2)) % 38.43/38.68 (step @p169 :rule cong :premises (@p168) :args (@t201)) % 38.43/38.68 (step @p170 :rule trans :premises (@p169 @p167)) % 38.43/38.68 (step @p171 :rule nary_cong :premises (@p110 @p170 @p166) :args (@t202)) % 38.43/38.68 (step @p172 :rule trans :premises (@p171 @p165)) % 38.43/38.68 (step @p173 :rule cong :premises (@p172) :args ((forall @t187 @t202))) % 38.43/38.68 (step @p174 :rule trans :premises (@p173 @p164)) % 38.43/38.68 (step @p175 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t66) @t207 @t115 @t206)) @t202))) % 38.43/38.68 (step @p176 :rule refl :args (@t206)) % 38.43/38.68 (step @p177 :rule refl :args (@t115)) % 38.43/38.68 (step @p178 :rule refl :args (@t207)) % 38.43/38.68 (step @p179 :rule eq-symm :args (@t2 @t12)) % 38.43/38.68 (step @p180 :rule cong :premises (@p179) :args (@t115)) % 38.43/38.68 (step @p181 :rule nary_cong :premises (@p180 @p178 @p177 @p176) :args (@t208)) % 38.43/38.68 (step @p182 :rule aci_norm :args ((= @t209 @t208))) % 38.43/38.68 (step @p183 :rule trans :premises (@p182 @p181)) % 38.43/38.68 (step @p184 :rule cong :premises (@p183) :args (@t210)) % 38.43/38.68 (step @p185 :rule trans :premises (@p184 @p175)) % 38.43/38.68 (step @p186 :rule cong :premises (@p185) :args (@t211)) % 38.43/38.68 (step @p187 :rule quant-merge-prenex :args ((= @t211 @t212))) % 38.43/38.68 (step @p188 :rule symm :premises (@p187)) % 38.43/38.68 (step @p189 :rule quant_var_reordering :args ((= @t213 @t212))) % 38.43/38.68 (step @p190 :rule trans :premises (@p189 @p188 @p186)) % 38.43/38.68 (step @p191 :rule trans :premises (@p190 @p174)) % 38.43/38.68 (step @p192 :rule quant-merge-prenex :args ((= (forall @t16 @t214) @t213))) % 38.43/38.68 (step @p193 :rule quant-unused-vars :args ((= @t215 @t204))) % 38.43/38.68 (step @p194 :rule alpha_equiv :args (@t216 @t195 @t218)) % 38.43/38.68 (step @p195 :rule nary_cong :premises (@p194 @p193) :args (@t219)) % 38.43/38.68 (step @p196 :rule quant-miniscope-and :args ((= @t220 @t219))) % 38.43/38.68 (step @p197 :rule trans :premises (@p196 @p195)) % 38.43/38.68 (step @p198 :rule 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(@p453)) % 38.43/38.68 (step @p455 :rule eq_resolve :premises (@p454 @p427)) % 38.43/38.68 (step @p456 :rule chain_m_resolution :premises (@p455 @p424) :args (@t349 @t361 (@list @t328))) % 38.43/38.68 (step @p457 :rule bool-double-not-elim :args (@t344)) % 38.43/38.68 (step @p458 :rule refl :args (@t348)) % 38.43/38.68 (step @p459 :rule nary_cong :premises (@p458 @p457) :args ((or @t348 (not @t345)))) % 38.43/38.68 (step @p460 :rule cnf_or_neg :args (@t348 2)) % 38.43/38.68 (step @p461 :rule eq_resolve :premises (@p460 @p459)) % 38.43/38.68 (step @p462 :rule reordering :premises (@p461) :args ((or @t344 @t348))) % 38.43/38.68 (step @p463 :rule chain_m_resolution :premises (@p462 @p456) :args (@t344 @t361 @t362)) % 38.43/38.68 (step @p464 :rule aci_norm :args ((= @t367 @t366))) % 38.43/38.68 (step @p465 :rule cong :premises (@p464) :args (@t368)) % 38.43/38.68 (step @p466 :rule cong :premises (@p465) :args (@t369)) % 38.43/38.68 (step @p467 :rule eq-symm :args (@t370 @t329)) % 38.43/38.68 (step @p468 :rule cong :premises (@p467) :args (@t371)) % 38.43/38.68 (step @p469 :rule refl :args (@t372)) % 38.43/38.68 (step @p470 :rule refl :args (@t340)) % 38.43/38.68 (step @p471 :rule nary_cong :premises (@p470 @p469 @p469 @p468 @p466) :args (@t373)) % 38.43/38.68 (step @p472 :rule refl :args (@t344)) % 38.43/38.68 (step @p473 :rule cong :premises (@p472 @p471) :args ((=> @t344 @t373))) % 38.43/38.68 (assume-push @p584 @t344) % 38.43/38.68 (step @p475 :rule instantiate :premises (@p463) :args ((@list @t335 tptp.nil tptp.nil))) % 38.43/38.68 (step-pop @p585 :rule scope :premises (@p475)) % 38.43/38.68 (step @p476 :rule process_scope :premises (@p585) :args (@t373)) % 38.43/38.68 (step @p478 :rule eq_resolve :premises (@p476 @p473)) % 38.43/38.68 (step @p479 :rule implies_elim :premises (@p478)) % 38.43/38.68 (step @p480 :rule chain_m_resolution :premises (@p479 @p463) :args (@t378 (@list false) (@list @t344))) % 38.43/38.68 (step @p481 :rule refl :args (tptp.nil)) % 38.43/38.68 (step @p482 :rule cnf_or_neg :args (@t348 1)) % 38.43/38.68 (step @p483 :rule reordering :premises (@p482) :args ((or @t331 @t348))) % 38.43/38.68 (step @p484 :rule chain_m_resolution :premises (@p483 @p456) :args (@t331 @t361 @t362)) % 38.43/38.68 (step @p485 :rule bool-double-not-elim :args (@t330)) % 38.43/38.68 (step @p486 :rule refl :args (@t334)) % 38.43/38.68 (step @p487 :rule nary_cong :premises (@p486 @p485) :args ((or @t334 (not @t331)))) % 38.43/38.68 (step @p488 :rule cnf_or_neg :args (@t334 1)) % 38.43/38.68 (step @p489 :rule eq_resolve :premises (@p488 @p487)) % 38.43/38.68 (step @p490 :rule reordering :premises (@p489) :args ((or @t330 @t334))) % 38.43/38.68 (step @p491 :rule chain_m_resolution :premises (@p490 @p484) :args (@t334 @t361 (@list @t330))) % 38.43/38.68 (step @p492 :rule cnf_or_neg :args (@t348 4)) % 38.43/38.68 (step @p493 :rule chain_m_resolution :premises (@p492 @p456) :args ((not @t342) @t361 @t362)) % 38.43/38.68 (step @p494 :rule cnf_and_neg :args (@t342)) % 38.43/38.68 (step @p495 :rule chain_m_resolution :premises (@p494 @p493 @p491) :args ((not @t341) @t379 (@list @t342 @t334))) % 38.43/38.68 (step @p496 :rule bool-double-not-elim :args (@t337)) % 38.43/38.68 (step @p497 :rule nary_cong :premises (@p432 @p496) :args ((or @t341 (not @t338)))) % 38.43/38.68 (step @p498 :rule cnf_or_neg :args (@t341 1)) % 38.43/38.68 (step @p499 :rule eq_resolve :premises (@p498 @p497)) % 38.43/38.68 (step @p500 :rule reordering :premises (@p499) :args ((or @t337 @t341))) % 38.43/38.68 (step @p501 :rule chain_m_resolution :premises (@p500 @p495) :args (@t337 @t361 @t380)) % 38.43/38.68 (step @p502 :rule cong :premises (@p481 @p501) :args (@t381)) % 38.43/38.68 (step @p503 :rule bool-impl-elim :args (@t17 @t382)) % 38.43/38.68 (step @p504 :rule cong :premises (@p503) :args ((forall @t9 (=> @t17 @t382)))) % 38.43/38.68 (step @p505 :rule eq-symm :args (@t47 @t2)) % 38.43/38.68 (step @p506 :rule cong :premises (@p419 @p505) :args (@t48)) % 38.43/38.68 (step @p507 :rule cong :premises (@p506) :args (@t49)) % 38.43/38.68 (step @p508 :rule trans :premises (@p507 @p504)) % 38.43/38.68 (step @p509 :rule eq_resolve :premises (@p28 @p508)) % 38.43/38.68 (step @p510 :rule instantiate :premises (@p509) :args ((@list @t329))) % 38.43/38.69 (step @p511 :rule bool-double-not-elim :args (@t346)) % 38.43/38.69 (step @p512 :rule nary_cong :premises (@p458 @p511) :args ((or @t348 (not @t347)))) % 38.43/38.69 (step @p513 :rule cnf_or_neg :args (@t348 0)) % 38.43/38.69 (step @p514 :rule eq_resolve :premises (@p513 @p512)) % 38.43/38.69 (step @p515 :rule reordering :premises (@p514) :args ((or @t346 @t348))) % 38.43/38.69 (step @p516 :rule chain_m_resolution :premises (@p515 @p456) :args (@t346 @t361 @t362)) % 38.43/38.69 (step @p517 :rule cnf_or_pos :args (@t384)) % 38.43/38.69 (step @p518 :rule reordering :premises (@p517) :args ((or @t347 @t383 (not @t384)))) % 38.43/38.69 (step @p519 :rule chain_m_resolution :premises (@p518 @p516 @p510) :args (@t383 @t385 (@list @t346 @t384))) % 38.43/38.69 (step @p520 :rule trans :premises (@p519 @p502)) % 38.43/38.69 (step @p521 :rule symm :premises (@p501)) % 38.43/38.69 (step @p522 :rule trans :premises (@p521 @p520)) % 38.43/38.69 (step @p523 :rule cong :premises (@p522 @p481) :args (@t386)) % 38.43/38.69 (step @p524 :rule aci_norm :args ((= @t391 (or @t149 @t389 @t388)))) % 38.43/38.69 (step @p525 :rule cong :premises (@p524) :args (@t392)) % 38.43/38.69 (step @p526 :rule quant-merge-prenex :args ((= (forall @t9 @t394) @t392))) % 38.43/38.69 (step @p527 :rule alpha_equiv :args (@t395 (@list @t387) (@list @t1))) % 38.43/38.69 (step @p528 :rule nary_cong :premises (@p119 @p527) :args (@t396)) % 38.43/38.69 (step @p529 :rule quant-miniscope-or :args ((= @t394 @t396))) % 38.43/38.69 (step @p530 :rule trans :premises (@p529 @p528)) % 38.43/38.69 (step @p531 :rule symm :premises (@p530)) % 38.43/38.69 (step @p532 :rule cong :premises (@p531) :args ((forall @t9 (or @t149 @t397)))) % 38.43/38.69 (step @p533 :rule trans :premises (@p532 @p526)) % 38.43/38.69 (step @p534 :rule trans :premises (@p533 @p525)) % 38.43/38.69 (step @p535 :rule bool-impl-elim :args (@t17 @t397)) % 38.43/38.69 (step @p536 :rule cong :premises (@p535) :args ((forall @t9 (=> @t17 @t397)))) % 38.43/38.69 (step @p537 :rule trans :premises (@p536 @p534)) % 38.43/38.69 (step @p538 :rule bool-impl-elim :args (@t6 @t67)) % 38.43/38.69 (step @p539 :rule cong :premises (@p538) :args (@t68)) % 38.43/38.69 (step @p540 :rule cong :premises (@p419 @p539) :args (@t69)) % 38.43/38.69 (step @p541 :rule cong :premises (@p540) :args (@t70)) % 38.43/38.69 (step @p542 :rule trans :premises (@p541 @p537)) % 38.43/38.69 (step @p543 :rule eq_resolve :premises (@p81 @p542)) % 38.43/38.69 (step @p544 :rule instantiate :premises (@p543) :args ((@list tptp.nil @t335))) % 38.43/38.69 (step @p545 :rule bool-double-not-elim :args (@t339)) % 38.43/38.69 (step @p546 :rule nary_cong :premises (@p432 @p545) :args ((or @t341 (not @t340)))) % 38.43/38.69 (step @p547 :rule cnf_or_neg :args (@t341 0)) % 38.43/38.69 (step @p548 :rule eq_resolve :premises (@p547 @p546)) % 38.43/38.69 (step @p549 :rule reordering :premises (@p548) :args ((or @t339 @t341))) % 38.43/38.69 (step @p550 :rule chain_m_resolution :premises (@p549 @p495) :args (@t339 @t361 @t380)) % 38.43/38.69 (step @p551 :rule cnf_or_pos :args (@t399)) % 38.43/38.69 (step @p552 :rule reordering :premises (@p551) :args ((or @t372 @t340 @t398 (not @t399)))) % 38.43/38.69 (step @p553 :rule chain_m_resolution :premises (@p552 @p17 @p550 @p544) :args (@t398 (@list false false false) (@list @t38 @t339 @t399))) % 38.43/38.69 (step @p554 :rule trans :premises (@p501 @p553 @p523)) % 38.43/38.69 (step @p555 :rule cnf_or_pos :args (@t378)) % 38.43/38.69 (step @p556 :rule factoring :premises (@p555)) % 38.43/38.69 (step @p557 :rule reordering :premises (@p556) :args ((or @t372 @t340 @t377 @t375 (not @t378)))) % 38.43/38.69 (step @p558 :rule chain_m_resolution :premises (@p557 @p17 @p550 @p554 @p480) :args (@t375 (@list false false false false) (@list @t38 @t339 @t376 @t378))) % 38.43/38.69 (step @p559 :rule skolemize :premises (@p558)) % 38.43/38.69 (step @p560 :rule bool-double-not-elim :args (@t401)) % 38.43/38.69 (step @p561 :rule refl :args (@t405)) % 38.43/38.69 (step @p562 :rule nary_cong :premises (@p561 @p560) :args ((or @t405 (not @t402)))) % 38.43/38.69 (step @p563 :rule cnf_or_neg :args (@t405 1)) % 38.43/38.69 (step @p564 :rule eq_resolve :premises (@p563 @p562)) % 38.43/38.69 (step @p565 :rule reordering :premises (@p564) :args ((or @t401 @t405))) % 38.43/38.69 (step @p566 :rule chain_m_resolution :premises (@p565 @p559) :args (@t401 @t361 @t406)) % 38.43/38.69 (step @p567 :rule bool-double-not-elim :args (@t403)) % 38.43/38.69 (step @p568 :rule nary_cong :premises (@p561 @p567) :args ((or @t405 (not @t404)))) % 38.43/38.69 (step @p569 :rule cnf_or_neg :args (@t405 0)) % 38.43/38.69 (step @p570 :rule eq_resolve :premises (@p569 @p568)) % 38.43/38.69 (step @p571 :rule reordering :premises (@p570) :args ((or @t403 @t405))) % 38.43/38.69 (step @p572 :rule chain_m_resolution :premises (@p571 @p559) :args (@t403 @t361 @t406)) % 38.43/38.69 (step @p573 :rule cnf_or_pos :args (@t407)) % 38.43/38.69 (step @p574 :rule reordering :premises (@p573) :args ((or @t404 @t402 @t408))) % 38.43/38.69 (step @p575 :rule chain_m_resolution :premises (@p574 @p572 @p566) :args (@t408 @t385 (@list @t403 @t401))) % 38.43/38.69 (assume-push @p586 @t409) % 38.43/38.69 (step @p577 :rule instantiate :premises (@p100) :args ((@list @t400))) % 38.43/38.69 (step-pop @p587 :rule scope :premises (@p577)) % 38.43/38.69 (step @p578 :rule process_scope :premises (@p587) :args (@t407)) % 38.43/38.69 (step @p580 :rule implies_elim :premises (@p578)) % 38.43/38.69 (step @p581 false :rule chain_m_resolution :premises (@p580 @p575 @p100) :args (false @t379 (@list @t407 @t409))) % 38.43/38.69 ) % 38.43/38.69 % SZS output end Proof % 38.43/38.69 % cvc5 exiting %------------------------------------------------------------------------------