%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC390+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 : n023.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 08:59:08 AM UTC 2026 % Result : Theorem 59.87s 60.07s % Output : Proof 59.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC390+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n023.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:46:13 EDT 2026 % 0.18/0.36 % CPUTime : % 0.33/0.53 %----Proving TF0_NAR, FOF, or CNF % 59.87/60.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 59.87/60.07 --- Run --no-e-matching --full-saturate-quant at 6... % 59.87/60.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 59.87/60.07 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 59.87/60.07 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 59.87/60.07 % SZS status Theorem % 59.87/60.07 % SZS output start Proof % 59.87/60.07 ( % 59.87/60.07 (declare-sort $$unsorted 0) % 59.87/60.07 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 59.87/60.07 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 59.87/60.07 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 59.87/60.07 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 59.87/60.07 (declare-const tptp.nil $$unsorted) % 59.87/60.07 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.ssList (-> $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 59.87/60.07 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 59.87/60.07 (define @t1 () (@var "V" $$unsorted)) % 59.87/60.07 (define @t2 () (@var "U" $$unsorted)) % 59.87/60.07 (define @t3 () (= @t2 @t1)) % 59.87/60.07 (define @t4 () (not @t3)) % 59.87/60.07 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 59.87/60.07 (define @t6 () (tptp.ssItem @t1)) % 59.87/60.07 (define @t7 () (@list @t1)) % 59.87/60.07 (define @t8 () (tptp.ssItem @t2)) % 59.87/60.07 (define @t9 () (@list @t2)) % 59.87/60.07 (define @t10 () (@var "X" $$unsorted)) % 59.87/60.07 (define @t11 () (tptp.cons @t1 @t10)) % 59.87/60.07 (define @t12 () (@var "W" $$unsorted)) % 59.87/60.07 (define @t13 () (tptp.app @t12 @t11)) % 59.87/60.07 (define @t14 () (tptp.ssList @t10)) % 59.87/60.07 (define @t15 () (and @t14 (= @t13 @t2))) % 59.87/60.07 (define @t16 () (@list @t10)) % 59.87/60.07 (define @t17 () (exists @t16 @t15)) % 59.87/60.07 (define @t18 () (tptp.ssList @t12)) % 59.87/60.07 (define @t19 () (and @t18 @t17)) % 59.87/60.07 (define @t20 () (@list @t12)) % 59.87/60.07 (define @t21 () (exists @t20 @t19)) % 59.87/60.07 (define @t22 () (tptp.memberP @t2 @t1)) % 59.87/60.07 (define @t23 () (= @t22 @t21)) % 59.87/60.07 (define @t24 () (=> @t6 @t23)) % 59.87/60.07 (define @t25 () (forall @t7 @t24)) % 59.87/60.07 (define @t26 () (tptp.ssList @t2)) % 59.87/60.07 (define @t27 () (=> @t26 @t25)) % 59.87/60.07 (define @t28 () (forall @t9 @t27)) % 59.87/60.07 (define @t29 () (tptp.cons @t1 tptp.nil)) % 59.87/60.07 (define @t30 () (and @t6 (= @t29 @t2))) % 59.87/60.07 (define @t31 () (exists @t7 @t30)) % 59.87/60.07 (define @t32 () (tptp.singletonP @t2)) % 59.87/60.07 (define @t33 () (= @t32 @t31)) % 59.87/60.07 (define @t34 () (=> @t26 @t33)) % 59.87/60.07 (define @t35 () (forall @t9 @t34)) % 59.87/60.07 (define @t36 () (tptp.app @t1 @t12)) % 59.87/60.07 (define @t37 () (tptp.frontsegP @t2 @t1)) % 59.87/60.07 (define @t38 () (tptp.ssList @t1)) % 59.87/60.07 (define @t39 () (tptp.app @t12 @t1)) % 59.87/60.07 (define @t40 () (tptp.rearsegP @t2 @t1)) % 59.87/60.07 (define @t41 () (tptp.segmentP @t2 @t1)) % 59.87/60.07 (define @t42 () (tptp.leq @t12 @t1)) % 59.87/60.07 (define @t43 () (tptp.leq @t1 @t12)) % 59.87/60.07 (define @t44 () (@var "Z" $$unsorted)) % 59.87/60.07 (define @t45 () (@var "Y" $$unsorted)) % 59.87/60.07 (define @t46 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t45)) (tptp.cons @t12 @t44)) @t2)) % 59.87/60.07 (define @t47 () (tptp.ssList @t44)) % 59.87/60.07 (define @t48 () (@list @t44)) % 59.87/60.07 (define @t49 () (tptp.ssList @t45)) % 59.87/60.07 (define @t50 () (@list @t45)) % 59.87/60.07 (define @t51 () (tptp.ssItem @t12)) % 59.87/60.07 (define @t52 () (tptp.lt @t1 @t12)) % 59.87/60.07 (define @t53 () (= @t1 @t12)) % 59.87/60.07 (define @t54 () (forall @t7 (=> @t38 @t5))) % 59.87/60.07 (define @t55 () (=> @t26 @t54)) % 59.87/60.07 (define @t56 () (forall @t9 @t55)) % 59.87/60.07 (define @t57 () (tptp.cons @t1 @t2)) % 59.87/60.07 (define @t58 () (tptp.ssList @t57)) % 59.87/60.07 (define @t59 () (forall @t7 (=> @t6 @t58))) % 59.87/60.07 (define @t60 () (=> @t26 @t59)) % 59.87/60.07 (define @t61 () (forall @t9 @t60)) % 59.87/60.07 (define @t62 () (tptp.ssList tptp.nil)) % 59.87/60.07 (define @t63 () (= @t1 @t2)) % 59.87/60.07 (define @t64 () (tptp.cons @t12 @t1)) % 59.87/60.07 (define @t65 () (= tptp.nil @t2)) % 59.87/60.07 (define @t66 () (tptp.hd @t2)) % 59.87/60.07 (define @t67 () (not @t65)) % 59.87/60.07 (define @t68 () (tptp.tl @t2)) % 59.87/60.07 (define @t69 () (tptp.app @t2 @t1)) % 59.87/60.07 (define @t70 () (tptp.app @t1 @t2)) % 59.87/60.07 (define @t71 () (tptp.app tptp.nil @t2)) % 59.87/60.07 (define @t72 () (=> @t26 (= @t71 @t2))) % 59.87/60.07 (define @t73 () (forall @t9 @t72)) % 59.87/60.07 (define @t74 () (tptp.leq @t1 @t2)) % 59.87/60.07 (define @t75 () (tptp.leq @t2 @t1)) % 59.87/60.07 (define @t76 () (tptp.geq @t2 @t1)) % 59.87/60.07 (define @t77 () (tptp.lt @t1 @t2)) % 59.87/60.07 (define @t78 () (tptp.lt @t2 @t1)) % 59.87/60.07 (define @t79 () (tptp.lt @t2 @t12)) % 59.87/60.07 (define @t80 () (tptp.gt @t2 @t1)) % 59.87/60.07 (define @t81 () (tptp.memberP @t12 @t2)) % 59.87/60.07 (define @t82 () (tptp.app @t12 @t2)) % 59.87/60.07 (define @t83 () (tptp.segmentP @t1 @t2)) % 59.87/60.07 (define @t84 () (tptp.segmentP @t2 @t2)) % 59.87/60.07 (define @t85 () (forall @t9 (=> @t26 @t84))) % 59.87/60.07 (define @t86 () (tptp.segmentP (tptp.app @t82 @t10) @t1)) % 59.87/60.07 (define @t87 () (=> @t41 @t86)) % 59.87/60.07 (define @t88 () (forall @t16 (=> @t14 @t87))) % 59.87/60.07 (define @t89 () (=> @t18 @t88)) % 59.87/60.07 (define @t90 () (forall @t20 @t89)) % 59.87/60.07 (define @t91 () (=> @t38 @t90)) % 59.87/60.07 (define @t92 () (forall @t7 @t91)) % 59.87/60.07 (define @t93 () (=> @t26 @t92)) % 59.87/60.07 (define @t94 () (forall @t9 @t93)) % 59.87/60.07 (define @t95 () (tptp.segmentP @t2 tptp.nil)) % 59.87/60.07 (define @t96 () (forall @t9 (=> @t26 @t95))) % 59.87/60.07 (define @t97 () (tptp.cons @t2 tptp.nil)) % 59.87/60.07 (define @t98 () (tptp.hd @t1)) % 59.87/60.07 (define @t99 () (= tptp.nil @t1)) % 59.87/60.07 (define @t100 () (not @t99)) % 59.87/60.07 (define @t101 () (tptp.cons @t2 @t1)) % 59.87/60.07 (define @t102 () (= @t12 @t2)) % 59.87/60.07 (define @t103 () (= @t57 (tptp.app @t29 @t2))) % 59.87/60.07 (define @t104 () (forall @t7 (=> @t6 @t103))) % 59.87/60.07 (define @t105 () (=> @t26 @t104)) % 59.87/60.07 (define @t106 () (forall @t9 @t105)) % 59.87/60.07 (define @t107 () (tptp.app @t2 tptp.nil)) % 59.87/60.07 (define @t108 () (=> @t26 (= @t107 @t2))) % 59.87/60.07 (define @t109 () (forall @t9 @t108)) % 59.87/60.07 (define @t110 () (tptp.neq @t1 tptp.nil)) % 59.87/60.07 (define @t111 () (and @t83 (or (not @t110) @t32))) % 59.87/60.07 (define @t112 () (tptp.neq @t10 tptp.nil)) % 59.87/60.07 (define @t113 () (not (tptp.memberP @t10 @t45))) % 59.87/60.07 (define @t114 () (tptp.cons @t45 tptp.nil)) % 59.87/60.07 (define @t115 () (not (= @t114 @t12))) % 59.87/60.07 (define @t116 () (or @t115 @t113)) % 59.87/60.07 (define @t117 () (tptp.ssItem @t45)) % 59.87/60.07 (define @t118 () (=> @t117 @t116)) % 59.87/60.07 (define @t119 () (forall @t50 @t118)) % 59.87/60.07 (define @t120 () (and @t119 @t112)) % 59.87/60.07 (define @t121 () (not (= tptp.nil @t12))) % 59.87/60.07 (define @t122 () (and @t121 (= tptp.nil @t10))) % 59.87/60.07 (define @t123 () (not (= @t2 @t12))) % 59.87/60.07 (define @t124 () (not (= @t1 @t10))) % 59.87/60.07 (define @t125 () (or @t124 @t123 @t122 @t120 @t111)) % 59.87/60.07 (define @t126 () (=> @t14 @t125)) % 59.87/60.07 (define @t127 () (forall @t16 @t126)) % 59.87/60.07 (define @t128 () (=> @t18 @t127)) % 59.87/60.07 (define @t129 () (forall @t20 @t128)) % 59.87/60.07 (define @t130 () (=> @t38 @t129)) % 59.87/60.07 (define @t131 () (forall @t7 @t130)) % 59.87/60.07 (define @t132 () (=> @t26 @t131)) % 59.87/60.07 (define @t133 () (forall @t9 @t132)) % 59.87/60.07 (define @t134 () (not @t133)) % 59.87/60.07 (define @t135 () (= @t2 @t29)) % 59.87/60.07 (define @t136 () (not @t6)) % 59.87/60.07 (define @t137 () (= @t32 (not (forall @t7 (or @t136 (not @t135)))))) % 59.87/60.07 (define @t138 () (and @t6 @t135)) % 59.87/60.07 (define @t139 () (forall @t7 (not @t138))) % 59.87/60.07 (define @t140 () (not @t139)) % 59.87/60.07 (define @t141 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 59.87/60.07 (define @t142 () (tptp.neq @t141 tptp.nil)) % 59.87/60.07 (define @t143 () (@var "BOUND_VARIABLE_11076" $$unsorted)) % 59.87/60.07 (define @t144 () (and (or (not (tptp.ssItem @t143)) (not (= @t2 (tptp.cons @t143 tptp.nil))) (not (tptp.memberP @t141 @t143))) @t142)) % 59.87/60.07 (define @t145 () (not (= @t2 tptp.nil))) % 59.87/60.07 (define @t146 () (and (tptp.segmentP @t141 @t2) (or (not @t142) @t32))) % 59.87/60.07 (define @t147 () (not (tptp.ssList @t141))) % 59.87/60.07 (define @t148 () (not @t26)) % 59.87/60.07 (define @t149 () (@list @t2 @t141 @t143)) % 59.87/60.07 (define @t150 () (forall @t149 (or @t148 @t147 @t146 (and @t145 (= tptp.nil @t141)) @t144))) % 59.87/60.07 (define @t151 () (@quantifiers_skolemize @t150 0)) % 59.87/60.07 (define @t152 () (not (= @t151 @t29))) % 59.87/60.07 (define @t153 () (or @t136 @t152)) % 59.87/60.07 (define @t154 () (forall @t7 @t153)) % 59.87/60.07 (define @t155 () (not @t154)) % 59.87/60.07 (define @t156 () (tptp.singletonP @t151)) % 59.87/60.07 (define @t157 () (= @t156 @t155)) % 59.87/60.07 (define @t158 () (tptp.ssList @t151)) % 59.87/60.07 (define @t159 () (not @t158)) % 59.87/60.07 (define @t160 () (or @t159 @t157)) % 59.87/60.07 (define @t161 () (forall @t9 (or @t148 @t137))) % 59.87/60.07 (define @t162 () (@list @t151)) % 59.87/60.07 (define @t163 () (forall @t7 (or @t136 (not (= @t29 @t151))))) % 59.87/60.07 (define @t164 () (not @t163)) % 59.87/60.07 (define @t165 () (= @t156 @t164)) % 59.87/60.07 (define @t166 () (or @t159 @t165)) % 59.87/60.07 (define @t167 () (@list false)) % 59.87/60.07 (define @t168 () (and @t145 (= @t141 tptp.nil))) % 59.87/60.07 (define @t169 () (or @t148 @t147 @t146 @t168 @t144)) % 59.87/60.07 (define @t170 () (or @t147 @t146 @t168 @t144)) % 59.87/60.07 (define @t171 () (or @t148 @t170)) % 59.87/60.07 (define @t172 () (forall @t149 @t171)) % 59.87/60.07 (define @t173 () (@list @t141 @t143)) % 59.87/60.07 (define @t174 () (forall @t173 @t171)) % 59.87/60.07 (define @t175 () (forall @t173 @t170)) % 59.87/60.07 (define @t176 () (@var "BOUND_VARIABLE_11056" $$unsorted)) % 59.87/60.07 (define @t177 () (or @t148 @t175)) % 59.87/60.07 (define @t178 () (or (not (tptp.ssItem @t176)) (not (= @t2 (tptp.cons @t176 tptp.nil))) (not (tptp.memberP @t1 @t176)))) % 59.87/60.07 (define @t179 () (and @t178 @t110)) % 59.87/60.07 (define @t180 () (= @t1 tptp.nil)) % 59.87/60.07 (define @t181 () (and @t145 @t180)) % 59.87/60.07 (define @t182 () (not @t38)) % 59.87/60.07 (define @t183 () (or @t182 @t111 @t181 @t179)) % 59.87/60.07 (define @t184 () (forall (@list @t1 @t176) @t183)) % 59.87/60.07 (define @t185 () (or @t148 @t184)) % 59.87/60.07 (define @t186 () (@list @t176)) % 59.87/60.07 (define @t187 () (forall @t186 @t183)) % 59.87/60.07 (define @t188 () (forall @t186 @t110)) % 59.87/60.07 (define @t189 () (forall @t186 @t178)) % 59.87/60.07 (define @t190 () (@var "BOUND_VARIABLE_11031" $$unsorted)) % 59.87/60.07 (define @t191 () (@list @t190)) % 59.87/60.07 (define @t192 () (and @t189 @t188)) % 59.87/60.07 (define @t193 () (forall @t186 @t179)) % 59.87/60.07 (define @t194 () (or @t182 @t111 @t181 @t193)) % 59.87/60.07 (define @t195 () (and (forall (@list @t190) (or (not (tptp.ssItem @t190)) (not (= @t2 (tptp.cons @t190 tptp.nil))) (not (tptp.memberP @t1 @t190)))) @t110)) % 59.87/60.07 (define @t196 () (or @t182 @t111 @t181 @t195)) % 59.87/60.07 (define @t197 () (forall @t7 @t196)) % 59.87/60.07 (define @t198 () (or @t148 @t197)) % 59.87/60.07 (define @t199 () (or @t148 @t196)) % 59.87/60.07 (define @t200 () (or @t182 @t111 @t148 @t181 @t195)) % 59.87/60.07 (define @t201 () (or @t111 @t182 @t148 @t181 @t195)) % 59.87/60.07 (define @t202 () (@var "BOUND_VARIABLE_11002" $$unsorted)) % 59.87/60.07 (define @t203 () (@list @t202)) % 59.87/60.07 (define @t204 () (forall @t203 @t110)) % 59.87/60.07 (define @t205 () (not (tptp.memberP @t1 @t202))) % 59.87/60.07 (define @t206 () (tptp.cons @t202 tptp.nil)) % 59.87/60.07 (define @t207 () (not (tptp.ssItem @t202))) % 59.87/60.07 (define @t208 () (or @t207 (not (= @t2 @t206)) @t205)) % 59.87/60.07 (define @t209 () (forall @t203 @t208)) % 59.87/60.07 (define @t210 () (@list @t202)) % 59.87/60.07 (define @t211 () (and @t209 @t204)) % 59.87/60.07 (define @t212 () (and @t208 @t110)) % 59.87/60.07 (define @t213 () (forall @t203 @t212)) % 59.87/60.07 (define @t214 () (or @t148 @t181 @t213)) % 59.87/60.07 (define @t215 () (or @t148 @t181 @t212)) % 59.87/60.07 (define @t216 () (not (= @t2 @t2))) % 59.87/60.07 (define @t217 () (or @t148 @t216 @t181 @t212)) % 59.87/60.07 (define @t218 () (or @t207 (not (= @t12 @t206)) @t205)) % 59.87/60.07 (define @t219 () (and @t218 @t110)) % 59.87/60.07 (define @t220 () (not (= @t12 tptp.nil))) % 59.87/60.07 (define @t221 () (and @t220 @t180)) % 59.87/60.07 (define @t222 () (not @t18)) % 59.87/60.07 (define @t223 () (or @t123 @t222 @t123 @t221 @t219)) % 59.87/60.07 (define @t224 () (or @t222 @t123 @t221 @t219)) % 59.87/60.07 (define @t225 () (forall @t20 @t224)) % 59.87/60.07 (define @t226 () (forall @t203 @t225)) % 59.87/60.07 (define @t227 () (forall (@list @t202 @t12) @t224)) % 59.87/60.07 (define @t228 () (forall (@list @t12 @t202) @t224)) % 59.87/60.07 (define @t229 () (forall @t203 @t224)) % 59.87/60.07 (define @t230 () (forall @t203 @t218)) % 59.87/60.07 (define @t231 () (@var "BOUND_VARIABLE_10977" $$unsorted)) % 59.87/60.07 (define @t232 () (@list @t231)) % 59.87/60.07 (define @t233 () (and @t230 @t204)) % 59.87/60.07 (define @t234 () (forall @t203 @t219)) % 59.87/60.07 (define @t235 () (or @t222 @t123 @t221 @t234)) % 59.87/60.07 (define @t236 () (and (forall (@list @t231) (or (not (tptp.ssItem @t231)) (not (= @t12 (tptp.cons @t231 tptp.nil))) (not (tptp.memberP @t1 @t231)))) @t110)) % 59.87/60.07 (define @t237 () (or @t222 @t123 @t221 @t236)) % 59.87/60.07 (define @t238 () (forall @t20 @t237)) % 59.87/60.07 (define @t239 () (or @t111 @t182 @t238)) % 59.87/60.07 (define @t240 () (or @t111 @t182 @t237)) % 59.87/60.07 (define @t241 () (or @t222 @t123 @t111 @t182 @t221 @t236)) % 59.87/60.07 (define @t242 () (or @t123 @t111 @t182 @t221 @t236)) % 59.87/60.07 (define @t243 () (@var "BOUND_VARIABLE_10950" $$unsorted)) % 59.87/60.07 (define @t244 () (@list @t243)) % 59.87/60.07 (define @t245 () (forall @t244 @t110)) % 59.87/60.07 (define @t246 () (not (= @t12 (tptp.cons @t243 tptp.nil)))) % 59.87/60.07 (define @t247 () (not (tptp.ssItem @t243))) % 59.87/60.07 (define @t248 () (or @t247 @t246 (not (tptp.memberP @t1 @t243)))) % 59.87/60.07 (define @t249 () (forall @t244 @t248)) % 59.87/60.07 (define @t250 () (@list @t243)) % 59.87/60.07 (define @t251 () (and @t249 @t245)) % 59.87/60.07 (define @t252 () (and @t248 @t110)) % 59.87/60.07 (define @t253 () (forall @t244 @t252)) % 59.87/60.07 (define @t254 () (or @t182 @t221 @t253)) % 59.87/60.07 (define @t255 () (or @t182 @t221 @t252)) % 59.87/60.07 (define @t256 () (not (= @t1 @t1))) % 59.87/60.07 (define @t257 () (or @t182 @t256 @t221 @t252)) % 59.87/60.07 (define @t258 () (or @t247 @t246 (not (tptp.memberP @t10 @t243)))) % 59.87/60.07 (define @t259 () (and @t258 @t112)) % 59.87/60.07 (define @t260 () (and @t220 (= @t10 tptp.nil))) % 59.87/60.07 (define @t261 () (not @t14)) % 59.87/60.07 (define @t262 () (or @t124 @t261 @t124 @t260 @t259)) % 59.87/60.07 (define @t263 () (or @t261 @t124 @t260 @t259)) % 59.87/60.07 (define @t264 () (forall @t16 @t263)) % 59.87/60.07 (define @t265 () (forall @t244 @t264)) % 59.87/60.07 (define @t266 () (forall (@list @t243 @t10) @t263)) % 59.87/60.07 (define @t267 () (forall (@list @t10 @t243) @t263)) % 59.87/60.07 (define @t268 () (forall @t244 @t263)) % 59.87/60.07 (define @t269 () (forall @t244 @t112)) % 59.87/60.07 (define @t270 () (forall @t244 @t258)) % 59.87/60.07 (define @t271 () (and @t270 @t269)) % 59.87/60.07 (define @t272 () (forall @t244 @t259)) % 59.87/60.07 (define @t273 () (or @t261 @t124 @t260 @t272)) % 59.87/60.07 (define @t274 () (not (= @t12 @t114))) % 59.87/60.07 (define @t275 () (not @t117)) % 59.87/60.07 (define @t276 () (or @t275 @t274 @t113)) % 59.87/60.07 (define @t277 () (and (forall @t50 @t276) @t112)) % 59.87/60.07 (define @t278 () (or @t261 @t124 @t260 @t277)) % 59.87/60.07 (define @t279 () (forall @t16 @t278)) % 59.87/60.07 (define @t280 () (or @t123 @t111 @t279)) % 59.87/60.07 (define @t281 () (or @t123 @t111 @t278)) % 59.87/60.07 (define @t282 () (or @t261 @t124 @t123 @t260 @t277 @t111)) % 59.87/60.07 (define @t283 () (or @t124 @t123 @t260 @t277 @t111)) % 59.87/60.07 (define @t284 () (or @t274 @t113)) % 59.87/60.07 (define @t285 () (@quantifiers_skolemize @t150 1)) % 59.87/60.07 (define @t286 () (tptp.neq @t285 tptp.nil)) % 59.87/60.07 (define @t287 () (@quantifiers_skolemize @t150 2)) % 59.87/60.07 (define @t288 () (tptp.memberP @t285 @t287)) % 59.87/60.07 (define @t289 () (not @t288)) % 59.87/60.07 (define @t290 () (tptp.cons @t287 tptp.nil)) % 59.87/60.07 (define @t291 () (= @t151 @t290)) % 59.87/60.07 (define @t292 () (not @t291)) % 59.87/60.07 (define @t293 () (tptp.ssItem @t287)) % 59.87/60.07 (define @t294 () (not @t293)) % 59.87/60.07 (define @t295 () (or @t294 @t292 @t289)) % 59.87/60.07 (define @t296 () (and @t295 @t286)) % 59.87/60.07 (define @t297 () (= tptp.nil @t285)) % 59.87/60.07 (define @t298 () (= tptp.nil @t151)) % 59.87/60.07 (define @t299 () (not @t298)) % 59.87/60.07 (define @t300 () (and @t299 @t297)) % 59.87/60.07 (define @t301 () (not @t286)) % 59.87/60.07 (define @t302 () (or @t301 @t156)) % 59.87/60.07 (define @t303 () (tptp.segmentP @t285 @t151)) % 59.87/60.07 (define @t304 () (and @t303 @t302)) % 59.87/60.07 (define @t305 () (tptp.ssList @t285)) % 59.87/60.07 (define @t306 () (not @t305)) % 59.87/60.07 (define @t307 () (or @t159 @t306 @t304 @t300 @t296)) % 59.87/60.07 (define @t308 () (not @t307)) % 59.87/60.07 (define @t309 () (not @t150)) % 59.87/60.07 (define @t310 () (not (= @t151 tptp.nil))) % 59.87/60.07 (define @t311 () (and @t310 @t297)) % 59.87/60.07 (define @t312 () (or @t159 @t306 @t304 @t311 @t296)) % 59.87/60.07 (define @t313 () (not @t312)) % 59.87/60.07 (define @t314 () (@list true)) % 59.87/60.07 (define @t315 () (@list @t307)) % 59.87/60.07 (define @t316 () (@list false false)) % 59.87/60.07 (define @t317 () (@list @t285)) % 59.87/60.07 (define @t318 () (tptp.segmentP @t285 tptp.nil)) % 59.87/60.07 (define @t319 () (or @t306 @t318)) % 59.87/60.07 (define @t320 () (not @t318)) % 59.87/60.07 (define @t321 () (not @t303)) % 59.87/60.07 (define @t322 () (not @t321)) % 59.87/60.07 (define @t323 () (and @t318 @t298 @t321)) % 59.87/60.07 (define @t324 () (not @t297)) % 59.87/60.07 (define @t325 () (@var "BOUND_VARIABLE_9106" $$unsorted)) % 59.87/60.07 (define @t326 () (= (tptp.neq @t2 @t325) (not (= @t2 @t325)))) % 59.87/60.07 (define @t327 () (not (tptp.ssList @t325))) % 59.87/60.07 (define @t328 () (or @t148 @t327 @t326)) % 59.87/60.07 (define @t329 () (or @t327 @t326)) % 59.87/60.07 (define @t330 () (or @t148 @t329)) % 59.87/60.07 (define @t331 () (@list @t2 @t325)) % 59.87/60.07 (define @t332 () (forall @t331 @t330)) % 59.87/60.07 (define @t333 () (@list @t325)) % 59.87/60.07 (define @t334 () (forall @t333 @t330)) % 59.87/60.07 (define @t335 () (forall @t333 @t329)) % 59.87/60.07 (define @t336 () (@list @t1)) % 59.87/60.07 (define @t337 () (or @t148 @t335)) % 59.87/60.07 (define @t338 () (forall @t7 (or @t182 @t5))) % 59.87/60.07 (define @t339 () (not (= @t285 tptp.nil))) % 59.87/60.07 (define @t340 () (= @t286 @t339)) % 59.87/60.07 (define @t341 () (not @t62)) % 59.87/60.07 (define @t342 () (or @t306 @t341 @t340)) % 59.87/60.07 (define @t343 () (forall @t331 @t328)) % 59.87/60.07 (define @t344 () (= @t286 @t324)) % 59.87/60.07 (define @t345 () (or @t306 @t341 @t344)) % 59.87/60.07 (define @t346 () (not @t344)) % 59.87/60.07 (define @t347 () (not @t295)) % 59.87/60.07 (define @t348 () (@var "BOUND_VARIABLE_8233" $$unsorted)) % 59.87/60.07 (define @t349 () (@var "BOUND_VARIABLE_8258" $$unsorted)) % 59.87/60.07 (define @t350 () (not (tptp.ssList @t348))) % 59.87/60.07 (define @t351 () (@list @t12 @t348)) % 59.87/60.07 (define @t352 () (= (tptp.memberP @t2 @t349) (not (forall @t351 (or @t222 @t350 (not (= @t2 (tptp.app @t12 (tptp.cons @t349 @t348))))))))) % 59.87/60.07 (define @t353 () (not (tptp.ssItem @t349))) % 59.87/60.07 (define @t354 () (or @t353 @t352)) % 59.87/60.07 (define @t355 () (or @t148 @t354)) % 59.87/60.07 (define @t356 () (forall (@list @t2 @t349) @t355)) % 59.87/60.07 (define @t357 () (@list @t349)) % 59.87/60.07 (define @t358 () (forall @t357 @t355)) % 59.87/60.07 (define @t359 () (forall @t357 @t354)) % 59.87/60.07 (define @t360 () (or @t148 @t359)) % 59.87/60.07 (define @t361 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t348))))) % 59.87/60.07 (define @t362 () (or @t222 @t350 @t361)) % 59.87/60.07 (define @t363 () (= @t22 (not (forall @t351 @t362)))) % 59.87/60.07 (define @t364 () (forall @t7 (or @t136 @t363))) % 59.87/60.07 (define @t365 () (or @t350 @t361)) % 59.87/60.07 (define @t366 () (or @t222 @t365)) % 59.87/60.07 (define @t367 () (forall @t351 @t366)) % 59.87/60.07 (define @t368 () (@list @t348)) % 59.87/60.07 (define @t369 () (forall @t368 @t366)) % 59.87/60.07 (define @t370 () (forall @t368 @t365)) % 59.87/60.07 (define @t371 () (@list @t10)) % 59.87/60.07 (define @t372 () (or @t222 @t370)) % 59.87/60.07 (define @t373 () (= @t2 @t13)) % 59.87/60.07 (define @t374 () (forall @t16 (or @t261 (not @t373)))) % 59.87/60.07 (define @t375 () (not @t374)) % 59.87/60.07 (define @t376 () (and @t18 @t375)) % 59.87/60.07 (define @t377 () (forall @t20 (not @t376))) % 59.87/60.07 (define @t378 () (not @t377)) % 59.87/60.07 (define @t379 () (and @t14 @t373)) % 59.87/60.07 (define @t380 () (forall @t16 (not @t379))) % 59.87/60.07 (define @t381 () (not @t380)) % 59.87/60.07 (define @t382 () (forall @t351 (or @t222 @t350 (not (= @t285 (tptp.app @t12 (tptp.cons @t287 @t348))))))) % 59.87/60.07 (define @t383 () (not @t382)) % 59.87/60.07 (define @t384 () (= @t288 @t383)) % 59.87/60.07 (define @t385 () (or @t306 @t294 @t384)) % 59.87/60.07 (define @t386 () (@quantifiers_skolemize @t382 0)) % 59.87/60.07 (define @t387 () (tptp.ssList @t386)) % 59.87/60.07 (define @t388 () (@quantifiers_skolemize @t382 1)) % 59.87/60.07 (define @t389 () (tptp.cons @t287 @t388)) % 59.87/60.07 (define @t390 () (tptp.app @t386 @t389)) % 59.87/60.07 (define @t391 () (= @t285 @t390)) % 59.87/60.07 (define @t392 () (not @t391)) % 59.87/60.07 (define @t393 () (tptp.ssList @t388)) % 59.87/60.07 (define @t394 () (not @t393)) % 59.87/60.07 (define @t395 () (not @t387)) % 59.87/60.07 (define @t396 () (or @t395 @t394 @t392)) % 59.87/60.07 (define @t397 () (@var "BOUND_VARIABLE_9127" $$unsorted)) % 59.87/60.07 (define @t398 () (tptp.ssList (tptp.cons @t397 @t2))) % 59.87/60.07 (define @t399 () (not (tptp.ssItem @t397))) % 59.87/60.07 (define @t400 () (or @t399 @t398)) % 59.87/60.07 (define @t401 () (or @t148 @t400)) % 59.87/60.07 (define @t402 () (forall (@list @t2 @t397) @t401)) % 59.87/60.07 (define @t403 () (@list @t397)) % 59.87/60.07 (define @t404 () (forall @t403 @t401)) % 59.87/60.07 (define @t405 () (forall @t403 @t400)) % 59.87/60.07 (define @t406 () (or @t148 @t405)) % 59.87/60.07 (define @t407 () (forall @t7 (or @t136 @t58))) % 59.87/60.07 (define @t408 () (@list @t388 @t287)) % 59.87/60.07 (define @t409 () (tptp.ssList @t389)) % 59.87/60.07 (define @t410 () (or @t394 @t294 @t409)) % 59.87/60.07 (define @t411 () (@var "BOUND_VARIABLE_10530" $$unsorted)) % 59.87/60.07 (define @t412 () (= (tptp.cons @t411 @t2) (tptp.app (tptp.cons @t411 tptp.nil) @t2))) % 59.87/60.07 (define @t413 () (not (tptp.ssItem @t411))) % 59.87/60.07 (define @t414 () (or @t413 @t412)) % 59.87/60.07 (define @t415 () (or @t148 @t414)) % 59.87/60.07 (define @t416 () (forall (@list @t2 @t411) @t415)) % 59.87/60.07 (define @t417 () (@list @t411)) % 59.87/60.07 (define @t418 () (forall @t417 @t415)) % 59.87/60.07 (define @t419 () (forall @t417 @t414)) % 59.87/60.07 (define @t420 () (or @t148 @t419)) % 59.87/60.07 (define @t421 () (forall @t7 (or @t136 @t103))) % 59.87/60.07 (define @t422 () (tptp.app @t290 @t388)) % 59.87/60.07 (define @t423 () (= @t389 @t422)) % 59.87/60.07 (define @t424 () (or @t394 @t294 @t423)) % 59.87/60.07 (define @t425 () (tptp.segmentP @t151 @t151)) % 59.87/60.07 (define @t426 () (or @t159 @t425)) % 59.87/60.07 (define @t427 () (@var "BOUND_VARIABLE_10205" $$unsorted)) % 59.87/60.07 (define @t428 () (@var "BOUND_VARIABLE_10209" $$unsorted)) % 59.87/60.07 (define @t429 () (@var "BOUND_VARIABLE_10207" $$unsorted)) % 59.87/60.07 (define @t430 () (tptp.segmentP (tptp.app (tptp.app @t429 @t2) @t428) @t427)) % 59.87/60.07 (define @t431 () (not (tptp.ssList @t428))) % 59.87/60.07 (define @t432 () (not (tptp.ssList @t429))) % 59.87/60.07 (define @t433 () (not (tptp.segmentP @t2 @t427))) % 59.87/60.07 (define @t434 () (not (tptp.ssList @t427))) % 59.87/60.07 (define @t435 () (or @t434 @t433 @t432 @t431 @t430)) % 59.87/60.07 (define @t436 () (or @t148 @t435)) % 59.87/60.07 (define @t437 () (forall (@list @t2 @t427 @t429 @t428) @t436)) % 59.87/60.07 (define @t438 () (@list @t427 @t429 @t428)) % 59.87/60.07 (define @t439 () (forall @t438 @t436)) % 59.87/60.07 (define @t440 () (forall @t438 @t435)) % 59.87/60.07 (define @t441 () (@var "BOUND_VARIABLE_10186" $$unsorted)) % 59.87/60.07 (define @t442 () (@var "BOUND_VARIABLE_10184" $$unsorted)) % 59.87/60.07 (define @t443 () (or @t148 @t440)) % 59.87/60.07 (define @t444 () (tptp.segmentP (tptp.app (tptp.app @t442 @t2) @t441) @t1)) % 59.87/60.07 (define @t445 () (not (tptp.ssList @t441))) % 59.87/60.07 (define @t446 () (not (tptp.ssList @t442))) % 59.87/60.07 (define @t447 () (not @t41)) % 59.87/60.07 (define @t448 () (or @t182 @t447 @t446 @t445 @t444)) % 59.87/60.07 (define @t449 () (@list @t1 @t442 @t441)) % 59.87/60.07 (define @t450 () (forall @t449 @t448)) % 59.87/60.07 (define @t451 () (or @t446 @t445 @t444)) % 59.87/60.07 (define @t452 () (or @t182 @t447 @t451)) % 59.87/60.07 (define @t453 () (forall @t449 @t452)) % 59.87/60.07 (define @t454 () (@list @t442 @t441)) % 59.87/60.07 (define @t455 () (forall @t454 @t452)) % 59.87/60.07 (define @t456 () (forall @t454 @t451)) % 59.87/60.07 (define @t457 () (@var "BOUND_VARIABLE_10167" $$unsorted)) % 59.87/60.07 (define @t458 () (or @t182 @t447 @t456)) % 59.87/60.07 (define @t459 () (tptp.segmentP (tptp.app @t82 @t457) @t1)) % 59.87/60.07 (define @t460 () (not (tptp.ssList @t457))) % 59.87/60.07 (define @t461 () (or @t222 @t460 @t459)) % 59.87/60.07 (define @t462 () (@list @t12 @t457)) % 59.87/60.07 (define @t463 () (forall @t462 @t461)) % 59.87/60.07 (define @t464 () (or @t182 @t447 @t463)) % 59.87/60.07 (define @t465 () (or @t447 @t463)) % 59.87/60.07 (define @t466 () (or @t460 @t459)) % 59.87/60.07 (define @t467 () (or @t222 @t466)) % 59.87/60.07 (define @t468 () (forall @t462 @t467)) % 59.87/60.07 (define @t469 () (@list @t457)) % 59.87/60.07 (define @t470 () (forall @t469 @t467)) % 59.87/60.07 (define @t471 () (forall @t469 @t466)) % 59.87/60.07 (define @t472 () (or @t222 @t471)) % 59.87/60.07 (define @t473 () (or @t261 @t86)) % 59.87/60.07 (define @t474 () (forall @t16 @t473)) % 59.87/60.07 (define @t475 () (or @t222 @t474)) % 59.87/60.07 (define @t476 () (forall @t20 @t475)) % 59.87/60.07 (define @t477 () (or @t447 @t476)) % 59.87/60.07 (define @t478 () (or @t447 @t475)) % 59.87/60.07 (define @t479 () (or @t222 @t447 @t474)) % 59.87/60.07 (define @t480 () (or @t447 @t474)) % 59.87/60.07 (define @t481 () (or @t447 @t473)) % 59.87/60.07 (define @t482 () (or @t261 @t447 @t86)) % 59.87/60.07 (define @t483 () (tptp.app tptp.nil @t151)) % 59.87/60.07 (define @t484 () (tptp.segmentP (tptp.app @t483 @t388) @t151)) % 59.87/60.07 (define @t485 () (not @t425)) % 59.87/60.07 (define @t486 () (or @t159 @t159 @t485 @t341 @t394 @t484)) % 59.87/60.07 (define @t487 () (= @t2 @t107)) % 59.87/60.07 (define @t488 () (= @t285 (tptp.app @t285 tptp.nil))) % 59.87/60.07 (define @t489 () (or @t306 @t488)) % 59.87/60.07 (define @t490 () (tptp.app @t390 tptp.nil)) % 59.87/60.07 (define @t491 () (tptp.segmentP @t490 @t151)) % 59.87/60.07 (define @t492 () (not @t491)) % 59.87/60.07 (define @t493 () (not @t488)) % 59.87/60.07 (define @t494 () (and @t321 @t488 @t391)) % 59.87/60.07 (define @t495 () (= @t2 @t71)) % 59.87/60.07 (define @t496 () (= @t151 @t483)) % 59.87/60.07 (define @t497 () (or @t159 @t496)) % 59.87/60.07 (define @t498 () (tptp.segmentP @t389 @t151)) % 59.87/60.07 (define @t499 () (and @t291 @t496 @t423 @t484)) % 59.87/60.07 (define @t500 () (not @t498)) % 59.87/60.07 (define @t501 () (not @t409)) % 59.87/60.07 (define @t502 () (or @t501 @t159 @t500 @t395 @t341 @t491)) % 59.87/60.07 (define @t503 () (not @t396)) % 59.87/60.07 (define @t504 () (@list true false)) % 59.87/60.07 (define @t505 () (@list @t302)) % 59.87/60.07 (define @t506 () (not @t165)) % 59.87/60.07 (define @t507 () (@list @t295)) % 59.87/60.07 (define @t508 () (or @t294 @t292)) % 59.87/60.07 (define @t509 () (not @t508)) % 59.87/60.07 (define @t510 () (not (= @t290 @t151))) % 59.87/60.07 (define @t511 () (or @t294 @t510)) % 59.87/60.07 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 59.87/60.07 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 59.87/60.07 (assume @p3 @t28) % 59.87/60.07 (assume @p4 @t35) % 59.87/60.07 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (= @t37 (exists @t20 (and @t18 (= @t36 @t2))))))))) % 59.87/60.07 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (= @t40 (exists @t20 (and @t18 (= @t39 @t2))))))))) % 59.87/60.07 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (= @t41 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t39 @t10) @t2))))))))))) % 59.87/60.07 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t51 (forall @t16 (=> @t14 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (not (and @t43 @t42))))))))))))))))) % 59.87/60.07 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t51 (forall @t16 (=> @t14 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (or @t43 @t42)))))))))))))))) % 59.87/60.07 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t51 (forall @t16 (=> @t14 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (or @t52 (tptp.lt @t12 @t1))))))))))))))))) % 59.87/60.07 (assume @p11 (forall @t9 (=> @t26 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t51 (forall @t16 (=> @t14 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 @t43))))))))))))))) % 59.87/60.07 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t51 (forall @t16 (=> @t14 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 @t52))))))))))))))) % 59.87/60.07 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t51 (forall @t16 (=> @t14 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (not @t53)))))))))))))))) % 59.87/60.07 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t51 (forall @t16 (=> @t14 (forall @t50 (=> @t49 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t45))) @t2) @t53))))))))))))) % 59.87/60.07 (assume @p15 @t56) % 59.87/60.07 (assume @p16 @t61) % 59.87/60.07 (assume @p17 @t62) % 59.87/60.07 (assume @p18 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= @t57 @t2))))))) % 59.87/60.07 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (forall @t20 (=> @t51 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t63))))))))))) % 59.87/60.07 (assume @p20 (forall @t9 (=> @t26 (or @t65 (exists @t7 (and @t38 (exists @t20 (and @t51 (= @t64 @t2))))))))) % 59.87/60.07 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t57))))))) % 59.87/60.07 (assume @p22 (forall @t9 (=> @t26 (=> @t67 (tptp.ssItem @t66))))) % 59.87/60.07 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t57) @t1)))))) % 59.87/60.07 (assume @p24 (forall @t9 (=> @t26 (=> @t67 (tptp.ssList @t68))))) % 59.87/60.07 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t57) @t2)))))) % 59.87/60.07 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (tptp.ssList @t69)))))) % 59.87/60.07 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (forall @t20 (=> @t51 (= (tptp.cons @t12 @t70) (tptp.app @t64 @t2))))))))) % 59.87/60.07 (assume @p28 @t73) % 59.87/60.07 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t75 @t74) @t3)))))) % 59.87/60.07 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t51 (=> (and @t75 @t43) (tptp.leq @t2 @t12))))))))) % 59.87/60.07 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 59.87/60.07 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t76 @t74)))))) % 59.87/60.07 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t78 (not @t77))))))) % 59.87/60.07 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t51 (=> (and @t78 @t52) @t79)))))))) % 59.87/60.07 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t80 @t77)))))) % 59.87/60.07 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t38 (forall @t20 (=> @t18 (= (tptp.memberP @t36 @t2) (or (tptp.memberP @t1 @t2) @t81))))))))) % 59.87/60.07 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t81))))))))) % 59.87/60.07 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 59.87/60.07 (assume @p39 (not (tptp.singletonP tptp.nil))) % 59.87/60.07 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (forall @t20 (=> @t18 (=> (and @t37 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 59.87/60.07 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (=> (and @t37 (tptp.frontsegP @t1 @t2)) @t3)))))) % 59.87/60.07 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 59.87/60.07 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (forall @t20 (=> @t18 (=> @t37 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 59.87/60.07 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 59.87/60.07 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 59.87/60.07 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t65)))) % 59.87/60.07 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (forall @t20 (=> @t18 (=> (and @t40 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 59.87/60.07 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (=> (and @t40 (tptp.rearsegP @t1 @t2)) @t3)))))) % 59.87/60.07 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 59.87/60.07 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (forall @t20 (=> @t18 (=> @t40 (tptp.rearsegP @t82 @t1))))))))) % 59.87/60.07 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 59.87/60.07 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t65)))) % 59.87/60.07 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (forall @t20 (=> @t18 (=> (and @t41 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 59.87/60.07 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (=> (and @t41 @t83) @t3)))))) % 59.87/60.07 (assume @p55 @t85) % 59.87/60.07 (assume @p56 @t94) % 59.87/60.07 (assume @p57 @t96) % 59.87/60.07 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t65)))) % 59.87/60.07 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t97)))) % 59.87/60.07 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 59.87/60.07 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t97)))) % 59.87/60.07 (assume @p62 (tptp.totalorderP tptp.nil)) % 59.87/60.07 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t97)))) % 59.87/60.07 (assume @p64 (tptp.strictorderP tptp.nil)) % 59.87/60.07 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t97)))) % 59.87/60.07 (assume @p66 (tptp.totalorderedP tptp.nil)) % 59.87/60.07 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t38 (= (tptp.totalorderedP @t101) (or @t99 (and @t100 (tptp.totalorderedP @t1) (tptp.leq @t2 @t98))))))))) % 59.87/60.07 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t97)))) % 59.87/60.07 (assume @p69 (tptp.strictorderedP tptp.nil)) % 59.87/60.07 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t38 (= (tptp.strictorderedP @t101) (or @t99 (and @t100 (tptp.strictorderedP @t1) (tptp.lt @t2 @t98))))))))) % 59.87/60.07 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t97)))) % 59.87/60.07 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 59.87/60.07 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t97)))) % 59.87/60.07 (assume @p74 (tptp.equalelemsP tptp.nil)) % 59.87/60.07 (assume @p75 (forall @t9 (=> @t26 (=> @t67 (exists @t7 (and @t6 (= @t66 @t1))))))) % 59.87/60.07 (assume @p76 (forall @t9 (=> @t26 (=> @t67 (exists @t7 (and @t38 (= @t68 @t1))))))) % 59.87/60.07 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (=> (and @t100 @t67 (= @t98 @t66) (= (tptp.tl @t1) @t68)) @t63)))))) % 59.87/60.07 (assume @p78 (forall @t9 (=> @t26 (=> @t67 (= (tptp.cons @t66 @t68) @t2))))) % 59.87/60.07 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (forall @t20 (=> @t18 (=> (= @t39 @t69) @t102)))))))) % 59.87/60.07 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (forall @t20 (=> @t18 (=> (= @t36 @t70) @t102)))))))) % 59.87/60.07 (assume @p81 @t106) % 59.87/60.07 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (forall @t20 (=> @t18 (= (tptp.app @t69 @t12) (tptp.app @t2 @t36))))))))) % 59.87/60.07 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (= (= tptp.nil @t69) (and @t99 @t65))))))) % 59.87/60.07 (assume @p84 @t109) % 59.87/60.07 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (=> @t67 (= (tptp.hd @t69) @t66))))))) % 59.87/60.07 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t38 (=> @t67 (= (tptp.tl @t69) (tptp.app @t68 @t1)))))))) % 59.87/60.07 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t76 (tptp.geq @t1 @t2)) @t3)))))) % 59.87/60.07 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t51 (=> (and @t76 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 59.87/60.07 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 59.87/60.07 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 59.87/60.07 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t51 (=> (and @t75 @t52) @t79)))))))) % 59.87/60.07 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t75 (or @t3 @t78))))))) % 59.87/60.07 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t78 (and @t4 @t75))))))) % 59.87/60.07 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t80 (not (tptp.gt @t1 @t2)))))))) % 59.87/60.07 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t51 (=> (and @t80 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 59.87/60.07 (assume @p96 @t134) % 59.87/60.07 (assume @p97 true) % 59.87/60.07 (step @p98 :rule bool-impl-elim :args (@t26 @t137)) % 59.87/60.07 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t26 @t137)))) % 59.87/60.07 (step @p100 :rule bool-and-de-morgan :args (@t6 @t135 true)) % 59.87/60.07 (step @p101 :rule cong :premises (@p100) :args (@t139)) % 59.87/60.07 (step @p102 :rule cong :premises (@p101) :args (@t140)) % 59.87/60.07 (step @p103 :rule exists-elim :args ((= (exists @t7 @t138) @t140))) % 59.87/60.07 (step @p104 :rule trans :premises (@p103 @p102)) % 59.87/60.07 (step @p105 :rule eq-symm :args (@t29 @t2)) % 59.87/60.07 (step @p106 :rule refl :args (@t6)) % 59.87/60.07 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t30)) % 59.87/60.07 (step @p108 :rule cong :premises (@p107) :args (@t31)) % 59.87/60.07 (step @p109 :rule trans :premises (@p108 @p104)) % 59.87/60.07 (step @p110 :rule refl :args (@t32)) % 59.87/60.07 (step @p111 :rule cong :premises (@p110 @p109) :args (@t33)) % 59.87/60.07 (step @p112 :rule refl :args (@t26)) % 59.87/60.07 (step @p113 :rule cong :premises (@p112 @p111) :args (@t34)) % 59.87/60.07 (step @p114 :rule cong :premises (@p113) :args (@t35)) % 59.87/60.07 (step @p115 :rule trans :premises (@p114 @p99)) % 59.87/60.07 (step @p116 :rule eq_resolve :premises (@p4 @p115)) % 59.87/60.07 (step @p117 :rule eq-symm :args (@t151 @t29)) % 59.87/60.07 (step @p118 :rule cong :premises (@p117) :args (@t152)) % 59.87/60.07 (step @p119 :rule refl :args (@t136)) % 59.87/60.07 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t153)) % 59.87/60.07 (step @p121 :rule cong :premises (@p120) :args (@t154)) % 59.87/60.07 (step @p122 :rule cong :premises (@p121) :args (@t155)) % 59.87/60.07 (step @p123 :rule refl :args (@t156)) % 59.87/60.07 (step @p124 :rule cong :premises (@p123 @p122) :args (@t157)) % 59.87/60.07 (step @p125 :rule refl :args (@t159)) % 59.87/60.07 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t160)) % 59.87/60.07 (step @p127 :rule refl :args (@t161)) % 59.87/60.07 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t161 @t160))) % 59.87/60.07 (assume-push @p856 @t161) % 59.87/60.07 (step @p130 :rule instantiate :premises (@p116) :args (@t162)) % 59.87/60.07 (step-pop @p857 :rule scope :premises (@p130)) % 59.87/60.07 (step @p131 :rule process_scope :premises (@p857) :args (@t160)) % 59.87/60.07 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 59.87/60.07 (step @p134 :rule implies_elim :premises (@p133)) % 59.87/60.07 (step @p135 :rule chain_m_resolution :premises (@p134 @p116) :args (@t166 @t167 (@list @t161))) % 59.87/60.07 (step @p136 :rule refl :args (@t144)) % 59.87/60.07 (step @p137 :rule eq-symm :args (@t141 tptp.nil)) % 59.87/60.07 (step @p138 :rule refl :args (@t145)) % 59.87/60.07 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t168)) % 59.87/60.07 (step @p140 :rule refl :args (@t146)) % 59.87/60.07 (step @p141 :rule refl :args (@t147)) % 59.87/60.07 (step @p142 :rule refl :args (@t148)) % 59.87/60.07 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140 @p139 @p136) :args (@t169)) % 59.87/60.07 (step @p144 :rule aci_norm :args ((= @t171 @t169))) % 59.87/60.07 (step @p145 :rule trans :premises (@p144 @p143)) % 59.87/60.07 (step @p146 :rule cong :premises (@p145) :args (@t172)) % 59.87/60.07 (step @p147 :rule quant-merge-prenex :args ((= (forall @t9 @t174) @t172))) % 59.87/60.07 (step @p148 :rule alpha_equiv :args (@t175 (@list @t141 @t143) (@list @t1 @t176))) % 59.87/60.07 (step @p149 :rule refl :args (@t148)) % 59.87/60.07 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t177)) % 59.87/60.07 (step @p151 :rule quant-miniscope-or :args ((= @t174 @t177))) % 59.87/60.07 (step @p152 :rule trans :premises (@p151 @p150)) % 59.87/60.07 (step @p153 :rule symm :premises (@p152)) % 59.87/60.07 (step @p154 :rule cong :premises (@p153) :args ((forall @t9 @t185))) % 59.87/60.07 (step @p155 :rule trans :premises (@p154 @p147)) % 59.87/60.07 (step @p156 :rule trans :premises (@p155 @p146)) % 59.87/60.07 (step @p157 :rule aci_norm :args ((= (or @t148 @t185) @t185))) % 59.87/60.07 (step @p158 :rule bool-impl-elim :args (@t26 @t185)) % 59.87/60.07 (step @p159 :rule trans :premises (@p158 @p157)) % 59.87/60.07 (step @p160 :rule cong :premises (@p159) :args ((forall @t9 (=> @t26 @t185)))) % 59.87/60.07 (step @p161 :rule trans :premises (@p160 @p156)) % 59.87/60.07 (step @p162 :rule quant-merge-prenex :args ((= (forall @t7 @t187) @t184))) % 59.87/60.07 (step @p163 :rule quant-unused-vars :args ((= @t188 @t110))) % 59.87/60.07 (step @p164 :rule alpha_equiv :args (@t189 (@list @t176) @t191)) % 59.87/60.07 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t192)) % 59.87/60.07 (step @p166 :rule quant-miniscope-and :args ((= @t193 @t192))) % 59.87/60.07 (step @p167 :rule trans :premises (@p166 @p165)) % 59.87/60.07 (step @p168 :rule refl :args (@t181)) % 59.87/60.07 (step @p169 :rule refl :args (@t111)) % 59.87/60.07 (step @p170 :rule refl :args (@t182)) % 59.87/60.07 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168 @p167) :args (@t194)) % 59.87/60.07 (step @p172 :rule quant-miniscope-or :args ((= @t187 @t194))) % 59.87/60.07 (step @p173 :rule trans :premises (@p172 @p171)) % 59.87/60.07 (step @p174 :rule symm :premises (@p173)) % 59.87/60.07 (step @p175 :rule cong :premises (@p174) :args (@t197)) % 59.87/60.07 (step @p176 :rule trans :premises (@p175 @p162)) % 59.87/60.07 (step @p177 :rule nary_cong :premises (@p142 @p176) :args (@t198)) % 59.87/60.07 (step @p178 :rule quant-miniscope-or :args ((= (forall @t7 @t199) @t198))) % 59.87/60.07 (step @p179 :rule aci_norm :args ((= @t200 @t199))) % 59.87/60.07 (step @p180 :rule 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:rule refl :args (@t447)) % 59.87/60.08 (step @p651 :rule nary_cong :premises (@p170 @p650 @p649) :args (@t458)) % 59.87/60.08 (step @p652 :rule quant-miniscope-or :args ((= @t455 @t458))) % 59.87/60.08 (step @p653 :rule trans :premises (@p652 @p651)) % 59.87/60.08 (step @p654 :rule symm :premises (@p653)) % 59.87/60.08 (step @p655 :rule cong :premises (@p654) :args ((forall @t7 @t464))) % 59.87/60.08 (step @p656 :rule trans :premises (@p655 @p648)) % 59.87/60.08 (step @p657 :rule trans :premises (@p656 @p647)) % 59.87/60.08 (step @p658 :rule aci_norm :args ((= (or @t182 @t465) @t464))) % 59.87/60.08 (step @p659 :rule bool-impl-elim :args (@t38 @t465)) % 59.87/60.08 (step @p660 :rule trans :premises (@p659 @p658)) % 59.87/60.08 (step @p661 :rule cong :premises (@p660) :args ((forall @t7 (=> @t38 @t465)))) % 59.87/60.08 (step @p662 :rule trans :premises (@p661 @p657)) % 59.87/60.08 (step @p663 :rule aci_norm :args ((= @t467 @t461))) % 59.87/60.08 (step @p664 :rule cong :premises (@p663) :args (@t468)) % 59.87/60.08 (step @p665 :rule quant-merge-prenex :args ((= (forall @t20 @t470) @t468))) % 59.87/60.08 (step @p666 :rule alpha_equiv :args (@t471 (@list @t457) @t371)) % 59.87/60.08 (step @p667 :rule nary_cong :premises (@p212 @p666) :args (@t472)) % 59.87/60.08 (step @p668 :rule quant-miniscope-or :args ((= @t470 @t472))) % 59.87/60.08 (step @p669 :rule trans :premises (@p668 @p667)) % 59.87/60.08 (step @p670 :rule symm :premises (@p669)) % 59.87/60.08 (step @p671 :rule cong :premises (@p670) :args (@t476)) % 59.87/60.08 (step @p672 :rule trans :premises (@p671 @p665)) % 59.87/60.08 (step @p673 :rule trans :premises (@p672 @p664)) % 59.87/60.08 (step @p674 :rule refl :args (@t447)) % 59.87/60.08 (step @p675 :rule nary_cong :premises (@p674 @p673) :args (@t477)) % 59.87/60.08 (step @p676 :rule quant-miniscope-or :args ((= (forall @t20 @t478) @t477))) % 59.87/60.08 (step @p677 :rule aci_norm :args ((= @t479 @t478))) % 59.87/60.08 (step @p678 :rule cong :premises (@p677) :args ((forall @t20 @t479))) % 59.87/60.08 (step @p679 :rule trans :premises (@p678 @p676)) % 59.87/60.08 (step @p680 :rule trans :premises (@p679 @p675)) % 59.87/60.08 (step @p681 :rule aci_norm :args ((= (or @t222 @t480) @t479))) % 59.87/60.08 (step @p682 :rule bool-impl-elim :args (@t18 @t480)) % 59.87/60.08 (step @p683 :rule trans :premises (@p682 @p681)) % 59.87/60.08 (step @p684 :rule cong :premises (@p683) :args ((forall @t20 (=> @t18 @t480)))) % 59.87/60.08 (step @p685 :rule trans :premises (@p684 @p680)) % 59.87/60.08 (step @p686 :rule quant-miniscope-or :args ((= (forall @t16 @t481) @t480))) % 59.87/60.08 (step @p687 :rule aci_norm :args ((= @t482 @t481))) % 59.87/60.08 (step @p688 :rule cong :premises (@p687) :args ((forall @t16 @t482))) % 59.87/60.08 (step @p689 :rule trans :premises (@p688 @p686)) % 59.87/60.08 (step @p690 :rule aci_norm :args ((= (or @t261 (or @t447 @t86)) @t482))) % 59.87/60.08 (step @p691 :rule bool-impl-elim :args (@t41 @t86)) % 59.87/60.08 (step @p692 :rule nary_cong :premises (@p275 @p691) :args ((or @t261 @t87))) % 59.87/60.08 (step @p693 :rule trans :premises (@p692 @p690)) % 59.87/60.08 (step @p694 :rule bool-impl-elim :args (@t14 @t87)) % 59.87/60.08 (step @p695 :rule trans :premises (@p694 @p693)) % 59.87/60.08 (step @p696 :rule cong :premises (@p695) :args (@t88)) % 59.87/60.08 (step @p697 :rule trans :premises (@p696 @p689)) % 59.87/60.08 (step @p698 :rule cong :premises (@p339 @p697) :args (@t89)) % 59.87/60.08 (step @p699 :rule cong :premises (@p698) :args (@t90)) % 59.87/60.08 (step @p700 :rule trans :premises (@p699 @p685)) % 59.87/60.08 (step @p701 :rule cong :premises (@p343 @p700) :args (@t91)) % 59.87/60.08 (step @p702 :rule cong :premises (@p701) :args (@t92)) % 59.87/60.08 (step @p703 :rule trans :premises (@p702 @p662)) % 59.87/60.08 (step @p704 :rule cong :premises (@p112 @p703) :args (@t93)) % 59.87/60.08 (step @p705 :rule cong :premises (@p704) :args (@t94)) % 59.87/60.08 (step @p706 :rule trans :premises (@p705 @p645)) % 59.87/60.08 (step @p707 :rule eq_resolve :premises (@p56 @p706)) % 59.87/60.08 (step @p708 :rule instantiate :premises (@p707) :args ((@list @t151 @t151 tptp.nil @t388))) % 59.87/60.08 (step @p709 :rule cnf_or_pos :args (@t486)) % 59.87/60.08 (step @p710 :rule factoring :premises (@p709)) % 59.87/60.08 (step @p711 :rule reordering :premises (@p710) :args ((or @t341 @t159 @t485 @t394 @t484 (not @t486)))) % 59.87/60.08 (step @p712 :rule bool-impl-elim :args (@t26 @t487)) % 59.87/60.08 (step @p713 :rule cong :premises (@p712) :args ((forall @t9 (=> @t26 @t487)))) % 59.87/60.08 (step @p714 :rule eq-symm :args (@t107 @t2)) % 59.87/60.08 (step @p715 :rule cong :premises (@p112 @p714) :args (@t108)) % 59.87/60.08 (step @p716 :rule cong :premises (@p715) :args (@t109)) % 59.87/60.08 (step @p717 :rule trans :premises (@p716 @p713)) % 59.87/60.08 (step @p718 :rule eq_resolve :premises (@p84 @p717)) % 59.87/60.08 (step @p719 :rule instantiate :premises (@p718) :args (@t317)) % 59.87/60.08 (step @p720 :rule cnf_or_pos :args (@t489)) % 59.87/60.08 (step @p721 :rule reordering :premises (@p720) :args ((or @t306 @t488 (not @t489)))) % 59.87/60.08 (step @p722 :rule chain_m_resolution :premises (@p721 @p393 @p719) :args (@t488 @t316 (@list @t305 @t489))) % 59.87/60.08 (step @p723 :rule refl :args (@t492)) % 59.87/60.08 (step @p724 :rule refl :args (@t392)) % 59.87/60.08 (step @p725 :rule refl :args (@t493)) % 59.87/60.08 (step @p726 :rule nary_cong :premises (@p398 @p725 @p724 @p723) :args ((or @t322 @t493 @t392 @t492))) % 59.87/60.08 (assume-push @p874 @t321) % 59.87/60.08 (assume-push @p875 @t488) % 59.87/60.08 (assume-push @p876 @t391) % 59.87/60.08 (assume-push @p877 @t321) % 59.87/60.08 (assume-push @p878 @t488) % 59.87/60.08 (assume-push @p879 @t391) % 59.87/60.08 (step @p733 :rule false_intro :premises (@p874)) % 59.87/60.08 (step @p734 :rule refl :args (@t151)) % 59.87/60.08 (step @p735 :rule symm :premises (@p722)) % 59.87/60.08 (step @p736 :rule refl :args (tptp.nil)) % 59.87/60.08 (step @p737 :rule symm :premises (@p876)) % 59.87/60.08 (step @p738 :rule cong :premises (@p737 @p736) :args (@t490)) % 59.87/60.08 (step @p739 :rule trans :premises (@p738 @p735)) % 59.87/60.08 (step @p740 :rule cong :premises (@p739 @p734) :args (@t491)) % 59.87/60.08 (step @p741 :rule trans :premises (@p740 @p733)) % 59.87/60.08 (step @p742 :rule false_elim :premises (@p741)) % 59.87/60.08 (step-pop @p880 :rule scope :premises (@p742)) % 59.87/60.08 (step-pop @p881 :rule scope :premises (@p880)) % 59.87/60.08 (step-pop @p882 :rule scope :premises (@p881)) % 59.87/60.08 (step @p743 :rule process_scope :premises (@p882) :args (@t492)) % 59.87/60.08 (step @p747 :rule and_intro :premises (@p874 @p722 @p876)) % 59.87/60.08 (step @p748 :rule modus_ponens :premises (@p747 @p743)) % 59.87/60.08 (step-pop @p883 :rule scope :premises (@p748)) % 59.87/60.08 (step-pop @p884 :rule scope :premises (@p883)) % 59.87/60.08 (step-pop @p885 :rule scope :premises (@p884)) % 59.87/60.08 (step @p749 :rule process_scope :premises (@p885) :args (@t492)) % 59.87/60.08 (step @p753 :rule implies_elim :premises (@p749)) % 59.87/60.08 (step @p754 :rule cnf_and_neg :args (@t494)) % 59.87/60.08 (step @p755 :rule resolution :premises (@p754 @p753) :args (true @t494)) % 59.87/60.08 (step @p756 :rule eq_resolve :premises (@p755 @p726)) % 59.87/60.08 (step @p757 :rule bool-impl-elim :args (@t26 @t495)) % 59.87/60.08 (step @p758 :rule cong :premises (@p757) :args ((forall @t9 (=> @t26 @t495)))) % 59.87/60.08 (step @p759 :rule eq-symm :args (@t71 @t2)) % 59.87/60.08 (step @p760 :rule cong :premises (@p112 @p759) :args (@t72)) % 59.87/60.08 (step @p761 :rule cong :premises (@p760) :args (@t73)) % 59.87/60.08 (step @p762 :rule trans :premises (@p761 @p758)) % 59.87/60.08 (step @p763 :rule eq_resolve :premises (@p28 @p762)) % 59.87/60.08 (step @p764 :rule instantiate :premises (@p763) :args (@t162)) % 59.87/60.08 (step @p765 :rule cnf_or_pos :args (@t497)) % 59.87/60.08 (step @p766 :rule reordering :premises (@p765) :args ((or @t159 @t496 (not @t497)))) % 59.87/60.08 (step @p767 :rule chain_m_resolution :premises (@p766 @p380 @p764) :args (@t496 @t316 (@list @t158 @t497))) % 59.87/60.08 (assume-push @p886 @t291) % 59.87/60.08 (assume-push @p887 @t496) % 59.87/60.08 (assume-push @p888 @t423) % 59.87/60.08 (assume-push @p889 @t484) % 59.87/60.08 (assume-push @p890 @t484) % 59.87/60.08 (assume-push @p891 @t496) % 59.87/60.08 (assume-push @p892 @t291) % 59.87/60.08 (assume-push @p893 @t423) % 59.87/60.08 (step @p776 :rule true_intro :premises (@p889)) % 59.87/60.08 (step @p734 :rule refl :args (@t151)) % 59.87/60.08 (step @p777 :rule refl :args (@t388)) % 59.87/60.08 (step @p778 :rule cong :premises (@p767 @p777) :args ((tptp.app @t151 @t388))) % 59.87/60.08 (step @p779 :rule symm :premises (@p886)) % 59.87/60.08 (step @p780 :rule cong :premises (@p779 @p777) :args (@t422)) % 59.87/60.08 (step @p781 :rule trans :premises (@p888 @p780 @p778)) % 59.87/60.08 (step @p782 :rule cong :premises (@p781 @p734) :args (@t498)) % 59.87/60.08 (step @p783 :rule trans :premises (@p782 @p776)) % 59.87/60.08 (step @p784 :rule true_elim :premises (@p783)) % 59.87/60.08 (step-pop @p894 :rule scope :premises (@p784)) % 59.87/60.08 (step-pop @p895 :rule scope :premises (@p894)) % 59.87/60.08 (step-pop @p896 :rule scope :premises (@p895)) % 59.87/60.08 (step-pop @p897 :rule scope :premises (@p896)) % 59.87/60.08 (step @p785 :rule process_scope :premises (@p897) :args (@t498)) % 59.87/60.08 (step @p790 :rule and_intro :premises (@p889 @p767 @p886 @p888)) % 59.87/60.08 (step @p791 :rule modus_ponens :premises (@p790 @p785)) % 59.87/60.08 (step-pop @p898 :rule scope :premises (@p791)) % 59.87/60.08 (step-pop @p899 :rule scope :premises (@p898)) % 59.87/60.08 (step-pop @p900 :rule scope :premises (@p899)) % 59.87/60.08 (step-pop @p901 :rule scope :premises (@p900)) % 59.87/60.08 (step @p792 :rule process_scope :premises (@p901) :args (@t498)) % 59.87/60.08 (step @p797 :rule implies_elim :premises (@p792)) % 59.87/60.08 (step @p798 :rule cnf_and_neg :args (@t499)) % 59.87/60.08 (step @p799 :rule resolution :premises (@p798 @p797) :args (true @t499)) % 59.87/60.08 (step @p800 :rule reordering :premises (@p799) :args ((or @t292 (not @t496) @t498 (not @t423) (not @t484)))) % 59.87/60.08 (step @p801 :rule instantiate :premises (@p707) :args ((@list @t389 @t151 @t386 tptp.nil))) % 59.87/60.08 (step @p802 :rule cnf_or_pos :args (@t502)) % 59.87/60.08 (step @p803 :rule reordering :premises (@p802) :args ((or @t341 @t159 @t395 @t501 @t500 @t491 (not @t502)))) % 59.87/60.08 (step @p804 :rule chain_m_resolution :premises (@p803 @p801 @p380 @p17 @p800 @p767 @p756 @p722 @p711 @p708 @p631 @p380 @p17 @p624 @p622 @p601 @p599 @p578 @p573 @p568) :args ((or @t303 @t294 @t292 @t396) (@list false false false false false true false false false false false false false false false false false false false) (@list @t502 @t158 @t62 @t498 @t496 @t491 @t488 @t484 @t486 @t425 @t158 @t62 @t423 @t424 @t409 @t410 @t391 @t393 @t387))) % 59.87/60.08 (step @p805 :rule cnf_equiv_pos1 :args (@t384)) % 59.87/60.08 (step @p806 :rule reordering :premises (@p805) :args ((or @t289 @t383 (not @t384)))) % 59.87/60.08 (step @p807 :rule refl :args (@t503)) % 59.87/60.08 (step @p808 :rule bool-double-not-elim :args (@t382)) % 59.87/60.08 (step @p809 :rule nary_cong :premises (@p808 @p807) :args ((or (not @t383) @t503))) % 59.87/60.08 (assume-push @p902 @t383) % 59.87/60.08 (step @p811 :rule skolemize :premises (@p902)) % 59.87/60.08 (step-pop @p903 :rule scope :premises (@p811)) % 59.87/60.08 (step @p812 :rule process_scope :premises (@p903) :args (@t503)) % 59.87/60.08 (step @p814 :rule implies_elim :premises (@p812)) % 59.87/60.08 (step @p815 :rule eq_resolve :premises (@p814 @p809)) % 59.87/60.08 (step @p816 :rule chain_m_resolution :premises (@p815 @p806 @p804 @p562 @p560 @p393 @p502 @p497 @p492 @p486 @p484 @p482 @p476 @p438 @p431 @p429 @p396) :args (@t303 (@list true false false false false false false false true true false false true true true false) (@list @t382 @t396 @t384 @t385 @t305 @t288 @t291 @t293 @t295 @t296 @t286 @t344 @t297 @t300 @t298 @t318))) % 59.87/60.08 (step @p817 :rule cnf_or_neg :args (@t307 2)) % 59.87/60.08 (step @p818 :rule chain_m_resolution :premises (@p817 @p373) :args ((not @t304) @t314 @t315)) % 59.87/60.08 (step @p819 :rule cnf_and_neg :args (@t304)) % 59.87/60.08 (step @p820 :rule chain_m_resolution :premises (@p819 @p818 @p816) :args ((not @t302) @t504 (@list @t304 @t303))) % 59.87/60.08 (step @p821 :rule cnf_or_neg :args (@t302 1)) % 59.87/60.08 (step @p822 :rule chain_m_resolution :premises (@p821 @p820) :args ((not @t156) @t314 @t505)) % 59.87/60.08 (step @p823 :rule bool-double-not-elim :args (@t163)) % 59.87/60.08 (step @p824 :rule refl :args (@t506)) % 59.87/60.08 (step @p825 :rule nary_cong :premises (@p824 @p123 @p823) :args ((or @t506 @t156 (not @t164)))) % 59.87/60.08 (step @p826 :rule cnf_equiv_pos2 :args (@t165)) % 59.87/60.08 (step @p827 :rule eq_resolve :premises (@p826 @p825)) % 59.87/60.08 (step @p828 :rule reordering :premises (@p827) :args ((or @t156 @t163 @t506))) % 59.87/60.08 (step @p829 :rule chain_m_resolution :premises (@p828 @p822 @p383) :args (@t163 @t504 (@list @t156 @t165))) % 59.87/60.08 (step @p830 :rule bool-double-not-elim :args (@t286)) % 59.87/60.08 (step @p831 :rule refl :args (@t302)) % 59.87/60.08 (step @p832 :rule nary_cong :premises (@p831 @p830) :args ((or @t302 (not @t301)))) % 59.87/60.08 (step @p833 :rule cnf_or_neg :args (@t302 0)) % 59.87/60.08 (step @p834 :rule eq_resolve :premises (@p833 @p832)) % 59.87/60.08 (step @p835 :rule reordering :premises (@p834) :args ((or @t286 @t302))) % 59.87/60.08 (step @p836 :rule chain_m_resolution :premises (@p835 @p820) :args (@t286 @t314 @t505)) % 59.87/60.08 (step @p837 :rule chain_m_resolution :premises (@p486 @p836 @p484) :args (@t347 (@list false true) (@list @t286 @t296))) % 59.87/60.08 (step @p838 :rule chain_m_resolution :premises (@p497 @p837) :args (@t291 @t314 @t507)) % 59.87/60.08 (step @p839 :rule chain_m_resolution :premises (@p492 @p837) :args (@t293 @t314 @t507)) % 59.87/60.08 (step @p840 :rule cnf_or_pos :args (@t508)) % 59.87/60.08 (step @p841 :rule reordering :premises (@p840) :args ((or @t294 @t292 @t509))) % 59.87/60.08 (step @p842 :rule chain_m_resolution :premises (@p841 @p839 @p838) :args (@t509 @t316 (@list @t293 @t291))) % 59.87/60.08 (step @p843 :rule eq-symm :args (@t290 @t151)) % 59.87/60.08 (step @p844 :rule cong :premises (@p843) :args (@t510)) % 59.87/60.08 (step @p845 :rule refl :args (@t294)) % 59.87/60.08 (step @p846 :rule nary_cong :premises (@p845 @p844) :args (@t511)) % 59.87/60.08 (step @p847 :rule refl :args (@t163)) % 59.87/60.08 (step @p848 :rule cong :premises (@p847 @p846) :args ((=> @t163 @t511))) % 59.87/60.08 (assume-push @p904 @t163) % 59.87/60.08 (step @p850 :rule instantiate :premises (@p904) :args ((@list @t287))) % 59.87/60.08 (step-pop @p905 :rule scope :premises (@p850)) % 59.87/60.08 (step @p851 :rule process_scope :premises (@p905) :args (@t511)) % 59.87/60.08 (step @p853 :rule eq_resolve :premises (@p851 @p848)) % 59.87/60.08 (step @p854 :rule implies_elim :premises (@p853)) % 59.87/60.08 (step @p855 false :rule chain_m_resolution :premises (@p854 @p842 @p829) :args (false @t504 (@list @t508 @t163))) % 59.87/60.08 ) % 59.87/60.08 % SZS output end Proof % 59.87/60.08 % cvc5 exiting %------------------------------------------------------------------------------