%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC119+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 : n002.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 08:58:07 AM UTC 2026 % Result : Theorem 47.66s 47.82s % Output : Proof 47.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC119+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 % 0.16/0.35 % Computer : n002.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:16:18 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 47.66/47.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 47.66/47.82 --- Run --no-e-matching --full-saturate-quant at 6... % 47.66/47.82 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 47.66/47.82 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 47.66/47.82 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 47.66/47.82 % SZS status Theorem % 47.66/47.82 % SZS output start Proof % 47.66/47.82 ( % 47.66/47.82 (declare-sort $$unsorted 0) % 47.66/47.82 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 47.66/47.82 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 47.66/47.82 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 47.66/47.82 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 47.66/47.82 (declare-const tptp.nil $$unsorted) % 47.66/47.82 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.ssList (-> $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 47.66/47.82 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 47.66/47.82 (define @t1 () (@var "V" $$unsorted)) % 47.66/47.82 (define @t2 () (@var "U" $$unsorted)) % 47.66/47.82 (define @t3 () (= @t2 @t1)) % 47.66/47.82 (define @t4 () (not @t3)) % 47.66/47.82 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 47.66/47.82 (define @t6 () (tptp.ssItem @t1)) % 47.66/47.82 (define @t7 () (@list @t1)) % 47.66/47.82 (define @t8 () (tptp.ssItem @t2)) % 47.66/47.82 (define @t9 () (@list @t2)) % 47.66/47.82 (define @t10 () (@var "X" $$unsorted)) % 47.66/47.82 (define @t11 () (tptp.cons @t1 @t10)) % 47.66/47.82 (define @t12 () (@var "W" $$unsorted)) % 47.66/47.82 (define @t13 () (tptp.app @t12 @t11)) % 47.66/47.82 (define @t14 () (tptp.ssList @t10)) % 47.66/47.82 (define @t15 () (and @t14 (= @t13 @t2))) % 47.66/47.82 (define @t16 () (@list @t10)) % 47.66/47.82 (define @t17 () (exists @t16 @t15)) % 47.66/47.82 (define @t18 () (tptp.ssList @t12)) % 47.66/47.82 (define @t19 () (and @t18 @t17)) % 47.66/47.82 (define @t20 () (@list @t12)) % 47.66/47.82 (define @t21 () (exists @t20 @t19)) % 47.66/47.82 (define @t22 () (tptp.memberP @t2 @t1)) % 47.66/47.82 (define @t23 () (= @t22 @t21)) % 47.66/47.82 (define @t24 () (=> @t6 @t23)) % 47.66/47.82 (define @t25 () (forall @t7 @t24)) % 47.66/47.82 (define @t26 () (tptp.ssList @t2)) % 47.66/47.82 (define @t27 () (=> @t26 @t25)) % 47.66/47.82 (define @t28 () (forall @t9 @t27)) % 47.66/47.82 (define @t29 () (tptp.cons @t1 tptp.nil)) % 47.66/47.82 (define @t30 () (tptp.app @t1 @t12)) % 47.66/47.82 (define @t31 () (tptp.frontsegP @t2 @t1)) % 47.66/47.82 (define @t32 () (tptp.ssList @t1)) % 47.66/47.82 (define @t33 () (tptp.app @t12 @t1)) % 47.66/47.82 (define @t34 () (tptp.rearsegP @t2 @t1)) % 47.66/47.82 (define @t35 () (tptp.segmentP @t2 @t1)) % 47.66/47.82 (define @t36 () (tptp.leq @t12 @t1)) % 47.66/47.82 (define @t37 () (tptp.leq @t1 @t12)) % 47.66/47.82 (define @t38 () (@var "Z" $$unsorted)) % 47.66/47.82 (define @t39 () (@var "Y" $$unsorted)) % 47.66/47.82 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 47.66/47.82 (define @t41 () (tptp.ssList @t38)) % 47.66/47.82 (define @t42 () (@list @t38)) % 47.66/47.82 (define @t43 () (tptp.ssList @t39)) % 47.66/47.82 (define @t44 () (@list @t39)) % 47.66/47.82 (define @t45 () (tptp.ssItem @t12)) % 47.66/47.82 (define @t46 () (tptp.lt @t1 @t12)) % 47.66/47.82 (define @t47 () (= @t1 @t12)) % 47.66/47.82 (define @t48 () (forall @t7 (=> @t32 @t5))) % 47.66/47.82 (define @t49 () (=> @t26 @t48)) % 47.66/47.82 (define @t50 () (forall @t9 @t49)) % 47.66/47.82 (define @t51 () (tptp.cons @t1 @t2)) % 47.66/47.82 (define @t52 () (tptp.ssList @t51)) % 47.66/47.82 (define @t53 () (forall @t7 (=> @t6 @t52))) % 47.66/47.82 (define @t54 () (=> @t26 @t53)) % 47.66/47.82 (define @t55 () (forall @t9 @t54)) % 47.66/47.82 (define @t56 () (tptp.ssList tptp.nil)) % 47.66/47.82 (define @t57 () (not (= @t51 @t2))) % 47.66/47.82 (define @t58 () (=> @t6 @t57)) % 47.66/47.82 (define @t59 () (forall @t7 @t58)) % 47.66/47.82 (define @t60 () (=> @t26 @t59)) % 47.66/47.82 (define @t61 () (forall @t9 @t60)) % 47.66/47.82 (define @t62 () (= @t1 @t2)) % 47.66/47.82 (define @t63 () (tptp.cons @t12 @t1)) % 47.66/47.82 (define @t64 () (= tptp.nil @t2)) % 47.66/47.82 (define @t65 () (tptp.hd @t2)) % 47.66/47.82 (define @t66 () (not @t64)) % 47.66/47.82 (define @t67 () (tptp.tl @t2)) % 47.66/47.82 (define @t68 () (tptp.app @t2 @t1)) % 47.66/47.82 (define @t69 () (tptp.app @t1 @t2)) % 47.66/47.82 (define @t70 () (tptp.app tptp.nil @t2)) % 47.66/47.82 (define @t71 () (=> @t26 (= @t70 @t2))) % 47.66/47.82 (define @t72 () (forall @t9 @t71)) % 47.66/47.82 (define @t73 () (tptp.leq @t1 @t2)) % 47.66/47.82 (define @t74 () (tptp.leq @t2 @t1)) % 47.66/47.82 (define @t75 () (tptp.geq @t2 @t1)) % 47.66/47.82 (define @t76 () (tptp.lt @t1 @t2)) % 47.66/47.82 (define @t77 () (tptp.lt @t2 @t1)) % 47.66/47.82 (define @t78 () (tptp.lt @t2 @t12)) % 47.66/47.82 (define @t79 () (tptp.gt @t2 @t1)) % 47.66/47.82 (define @t80 () (tptp.memberP @t12 @t2)) % 47.66/47.82 (define @t81 () (tptp.app @t12 @t2)) % 47.66/47.82 (define @t82 () (tptp.segmentP @t1 @t2)) % 47.66/47.82 (define @t83 () (tptp.segmentP @t2 @t2)) % 47.66/47.82 (define @t84 () (forall @t9 (=> @t26 @t83))) % 47.66/47.82 (define @t85 () (tptp.segmentP (tptp.app @t81 @t10) @t1)) % 47.66/47.82 (define @t86 () (=> @t35 @t85)) % 47.66/47.82 (define @t87 () (forall @t16 (=> @t14 @t86))) % 47.66/47.82 (define @t88 () (=> @t18 @t87)) % 47.66/47.82 (define @t89 () (forall @t20 @t88)) % 47.66/47.82 (define @t90 () (=> @t32 @t89)) % 47.66/47.82 (define @t91 () (forall @t7 @t90)) % 47.66/47.82 (define @t92 () (=> @t26 @t91)) % 47.66/47.82 (define @t93 () (forall @t9 @t92)) % 47.66/47.82 (define @t94 () (tptp.cons @t2 tptp.nil)) % 47.66/47.82 (define @t95 () (tptp.hd @t1)) % 47.66/47.82 (define @t96 () (= tptp.nil @t1)) % 47.66/47.82 (define @t97 () (not @t96)) % 47.66/47.82 (define @t98 () (tptp.cons @t2 @t1)) % 47.66/47.82 (define @t99 () (= @t12 @t2)) % 47.66/47.82 (define @t100 () (= @t51 (tptp.app @t29 @t2))) % 47.66/47.82 (define @t101 () (forall @t7 (=> @t6 @t100))) % 47.66/47.82 (define @t102 () (=> @t26 @t101)) % 47.66/47.82 (define @t103 () (forall @t9 @t102)) % 47.66/47.82 (define @t104 () (and @t96 @t64)) % 47.66/47.82 (define @t105 () (tptp.app @t2 tptp.nil)) % 47.66/47.82 (define @t106 () (=> @t26 (= @t105 @t2))) % 47.66/47.82 (define @t107 () (forall @t9 @t106)) % 47.66/47.82 (define @t108 () (tptp.neq @t2 tptp.nil)) % 47.66/47.82 (define @t109 () (and @t108 @t82)) % 47.66/47.82 (define @t110 () (tptp.neq @t10 tptp.nil)) % 47.66/47.82 (define @t111 () (not (tptp.memberP @t10 @t39))) % 47.66/47.82 (define @t112 () (tptp.cons @t39 tptp.nil)) % 47.66/47.82 (define @t113 () (not (= @t112 @t12))) % 47.66/47.82 (define @t114 () (or @t113 @t111)) % 47.66/47.82 (define @t115 () (tptp.ssItem @t39)) % 47.66/47.82 (define @t116 () (=> @t115 @t114)) % 47.66/47.82 (define @t117 () (forall @t44 @t116)) % 47.66/47.82 (define @t118 () (and @t117 @t110)) % 47.66/47.82 (define @t119 () (not (= tptp.nil @t12))) % 47.66/47.82 (define @t120 () (and @t119 (= tptp.nil @t10))) % 47.66/47.82 (define @t121 () (not (= @t2 @t12))) % 47.66/47.82 (define @t122 () (not (= @t1 @t10))) % 47.66/47.82 (define @t123 () (or @t122 @t121 @t120 @t104 @t118 @t109)) % 47.66/47.82 (define @t124 () (=> @t14 @t123)) % 47.66/47.82 (define @t125 () (forall @t16 @t124)) % 47.66/47.82 (define @t126 () (=> @t18 @t125)) % 47.66/47.82 (define @t127 () (forall @t20 @t126)) % 47.66/47.82 (define @t128 () (=> @t32 @t127)) % 47.66/47.82 (define @t129 () (forall @t7 @t128)) % 47.66/47.82 (define @t130 () (=> @t26 @t129)) % 47.66/47.82 (define @t131 () (forall @t9 @t130)) % 47.66/47.82 (define @t132 () (not @t131)) % 47.66/47.82 (define @t133 () (@var "BOUND_VARIABLE_11073" $$unsorted)) % 47.66/47.82 (define @t134 () (@var "BOUND_VARIABLE_11075" $$unsorted)) % 47.66/47.82 (define @t135 () (and (or (not (tptp.ssItem @t134)) (not (= @t2 (tptp.cons @t134 tptp.nil))) (not (tptp.memberP @t133 @t134))) (tptp.neq @t133 tptp.nil))) % 47.66/47.82 (define @t136 () (= @t2 tptp.nil)) % 47.66/47.82 (define @t137 () (not @t136)) % 47.66/47.82 (define @t138 () (= @t133 tptp.nil)) % 47.66/47.82 (define @t139 () (and @t137 @t138)) % 47.66/47.82 (define @t140 () (and @t108 (tptp.segmentP @t133 @t2))) % 47.66/47.82 (define @t141 () (and @t138 @t136)) % 47.66/47.82 (define @t142 () (not (tptp.ssList @t133))) % 47.66/47.82 (define @t143 () (not @t26)) % 47.66/47.82 (define @t144 () (or @t143 @t142 @t141 @t140 @t139 @t135)) % 47.66/47.82 (define @t145 () (or @t142 @t141 @t140 @t139 @t135)) % 47.66/47.82 (define @t146 () (or @t143 @t145)) % 47.66/47.82 (define @t147 () (@list @t2 @t133 @t134)) % 47.66/47.82 (define @t148 () (forall @t147 @t146)) % 47.66/47.82 (define @t149 () (@list @t133 @t134)) % 47.66/47.82 (define @t150 () (forall @t149 @t146)) % 47.66/47.82 (define @t151 () (forall @t149 @t145)) % 47.66/47.82 (define @t152 () (@var "BOUND_VARIABLE_11055" $$unsorted)) % 47.66/47.82 (define @t153 () (or @t143 @t151)) % 47.66/47.82 (define @t154 () (tptp.neq @t1 tptp.nil)) % 47.66/47.82 (define @t155 () (or (not (tptp.ssItem @t152)) (not (= @t2 (tptp.cons @t152 tptp.nil))) (not (tptp.memberP @t1 @t152)))) % 47.66/47.82 (define @t156 () (and @t155 @t154)) % 47.66/47.82 (define @t157 () (= @t1 tptp.nil)) % 47.66/47.82 (define @t158 () (and @t137 @t157)) % 47.66/47.82 (define @t159 () (and @t157 @t136)) % 47.66/47.82 (define @t160 () (not @t32)) % 47.66/47.82 (define @t161 () (or @t160 @t159 @t109 @t158 @t156)) % 47.66/47.82 (define @t162 () (forall (@list @t1 @t152) @t161)) % 47.66/47.82 (define @t163 () (or @t143 @t162)) % 47.66/47.82 (define @t164 () (@list @t152)) % 47.66/47.82 (define @t165 () (forall @t164 @t161)) % 47.66/47.82 (define @t166 () (forall @t164 @t154)) % 47.66/47.82 (define @t167 () (forall @t164 @t155)) % 47.66/47.82 (define @t168 () (@var "BOUND_VARIABLE_11030" $$unsorted)) % 47.66/47.82 (define @t169 () (@list @t168)) % 47.66/47.82 (define @t170 () (and @t167 @t166)) % 47.66/47.82 (define @t171 () (forall @t164 @t156)) % 47.66/47.82 (define @t172 () (or @t160 @t159 @t109 @t158 @t171)) % 47.66/47.82 (define @t173 () (and (forall (@list @t168) (or (not (tptp.ssItem @t168)) (not (= @t2 (tptp.cons @t168 tptp.nil))) (not (tptp.memberP @t1 @t168)))) @t154)) % 47.66/47.82 (define @t174 () (or @t160 @t159 @t109 @t158 @t173)) % 47.66/47.82 (define @t175 () (forall @t7 @t174)) % 47.66/47.82 (define @t176 () (or @t143 @t175)) % 47.66/47.82 (define @t177 () (or @t143 @t174)) % 47.66/47.82 (define @t178 () (or @t160 @t159 @t109 @t143 @t158 @t173)) % 47.66/47.82 (define @t179 () (or @t159 @t109 @t160 @t143 @t158 @t173)) % 47.66/47.82 (define @t180 () (@var "BOUND_VARIABLE_11001" $$unsorted)) % 47.66/47.82 (define @t181 () (@list @t180)) % 47.66/47.82 (define @t182 () (forall @t181 @t154)) % 47.66/47.82 (define @t183 () (not (tptp.memberP @t1 @t180))) % 47.66/47.82 (define @t184 () (tptp.cons @t180 tptp.nil)) % 47.66/47.82 (define @t185 () (not (tptp.ssItem @t180))) % 47.66/47.82 (define @t186 () (or @t185 (not (= @t2 @t184)) @t183)) % 47.66/47.82 (define @t187 () (forall @t181 @t186)) % 47.66/47.82 (define @t188 () (@list @t180)) % 47.66/47.82 (define @t189 () (and @t187 @t182)) % 47.66/47.82 (define @t190 () (and @t186 @t154)) % 47.66/47.82 (define @t191 () (forall @t181 @t190)) % 47.66/47.82 (define @t192 () (or @t143 @t158 @t191)) % 47.66/47.82 (define @t193 () (or @t143 @t158 @t190)) % 47.66/47.82 (define @t194 () (not (= @t2 @t2))) % 47.66/47.82 (define @t195 () (or @t143 @t194 @t158 @t190)) % 47.66/47.82 (define @t196 () (or @t185 (not (= @t12 @t184)) @t183)) % 47.66/47.82 (define @t197 () (and @t196 @t154)) % 47.66/47.82 (define @t198 () (not (= @t12 tptp.nil))) % 47.66/47.82 (define @t199 () (and @t198 @t157)) % 47.66/47.82 (define @t200 () (not @t18)) % 47.66/47.82 (define @t201 () (or @t121 @t200 @t121 @t199 @t197)) % 47.66/47.82 (define @t202 () (or @t200 @t121 @t199 @t197)) % 47.66/47.82 (define @t203 () (forall @t20 @t202)) % 47.66/47.82 (define @t204 () (forall @t181 @t203)) % 47.66/47.82 (define @t205 () (forall (@list @t180 @t12) @t202)) % 47.66/47.82 (define @t206 () (forall (@list @t12 @t180) @t202)) % 47.66/47.82 (define @t207 () (forall @t181 @t202)) % 47.66/47.82 (define @t208 () (forall @t181 @t196)) % 47.66/47.82 (define @t209 () (@var "BOUND_VARIABLE_10976" $$unsorted)) % 47.66/47.82 (define @t210 () (@list @t209)) % 47.66/47.82 (define @t211 () (and @t208 @t182)) % 47.66/47.82 (define @t212 () (forall @t181 @t197)) % 47.66/47.82 (define @t213 () (or @t200 @t121 @t199 @t212)) % 47.66/47.82 (define @t214 () (and (forall (@list @t209) (or (not (tptp.ssItem @t209)) (not (= @t12 (tptp.cons @t209 tptp.nil))) (not (tptp.memberP @t1 @t209)))) @t154)) % 47.66/47.82 (define @t215 () (or @t200 @t121 @t199 @t214)) % 47.66/47.82 (define @t216 () (forall @t20 @t215)) % 47.66/47.82 (define @t217 () (or @t159 @t109 @t160 @t216)) % 47.66/47.82 (define @t218 () (or @t159 @t109 @t160 @t215)) % 47.66/47.82 (define @t219 () (or @t200 @t121 @t159 @t109 @t160 @t199 @t214)) % 47.66/47.82 (define @t220 () (or @t121 @t159 @t109 @t160 @t199 @t214)) % 47.66/47.82 (define @t221 () (@var "BOUND_VARIABLE_10948" $$unsorted)) % 47.66/47.82 (define @t222 () (@list @t221)) % 47.66/47.82 (define @t223 () (forall @t222 @t154)) % 47.66/47.82 (define @t224 () (not (= @t12 (tptp.cons @t221 tptp.nil)))) % 47.66/47.82 (define @t225 () (not (tptp.ssItem @t221))) % 47.66/47.82 (define @t226 () (or @t225 @t224 (not (tptp.memberP @t1 @t221)))) % 47.66/47.82 (define @t227 () (forall @t222 @t226)) % 47.66/47.82 (define @t228 () (@list @t221)) % 47.66/47.82 (define @t229 () (and @t227 @t223)) % 47.66/47.82 (define @t230 () (and @t226 @t154)) % 47.66/47.82 (define @t231 () (forall @t222 @t230)) % 47.66/47.82 (define @t232 () (or @t160 @t199 @t231)) % 47.66/47.82 (define @t233 () (or @t160 @t199 @t230)) % 47.66/47.82 (define @t234 () (not (= @t1 @t1))) % 47.66/47.82 (define @t235 () (or @t160 @t234 @t199 @t230)) % 47.66/47.82 (define @t236 () (or @t225 @t224 (not (tptp.memberP @t10 @t221)))) % 47.66/47.82 (define @t237 () (and @t236 @t110)) % 47.66/47.82 (define @t238 () (and @t198 (= @t10 tptp.nil))) % 47.66/47.82 (define @t239 () (not @t14)) % 47.66/47.82 (define @t240 () (or @t122 @t239 @t122 @t238 @t237)) % 47.66/47.82 (define @t241 () (or @t239 @t122 @t238 @t237)) % 47.66/47.82 (define @t242 () (forall @t16 @t241)) % 47.66/47.82 (define @t243 () (forall @t222 @t242)) % 47.66/47.82 (define @t244 () (forall (@list @t221 @t10) @t241)) % 47.66/47.82 (define @t245 () (forall (@list @t10 @t221) @t241)) % 47.66/47.82 (define @t246 () (forall @t222 @t241)) % 47.66/47.82 (define @t247 () (forall @t222 @t110)) % 47.66/47.82 (define @t248 () (forall @t222 @t236)) % 47.66/47.82 (define @t249 () (and @t248 @t247)) % 47.66/47.82 (define @t250 () (forall @t222 @t237)) % 47.66/47.82 (define @t251 () (or @t239 @t122 @t238 @t250)) % 47.66/47.82 (define @t252 () (not (= @t12 @t112))) % 47.66/47.82 (define @t253 () (not @t115)) % 47.66/47.82 (define @t254 () (or @t253 @t252 @t111)) % 47.66/47.82 (define @t255 () (and (forall @t44 @t254) @t110)) % 47.66/47.82 (define @t256 () (or @t239 @t122 @t238 @t255)) % 47.66/47.82 (define @t257 () (forall @t16 @t256)) % 47.66/47.82 (define @t258 () (or @t121 @t159 @t109 @t257)) % 47.66/47.82 (define @t259 () (or @t121 @t159 @t109 @t256)) % 47.66/47.82 (define @t260 () (or @t239 @t122 @t121 @t238 @t159 @t255 @t109)) % 47.66/47.82 (define @t261 () (or @t122 @t121 @t238 @t159 @t255 @t109)) % 47.66/47.82 (define @t262 () (or @t252 @t111)) % 47.66/47.82 (define @t263 () (= tptp.nil @t133)) % 47.66/47.82 (define @t264 () (forall @t147 (or @t143 @t142 (and @t263 @t136) @t140 (and @t137 @t263) @t135))) % 47.66/47.82 (define @t265 () (@quantifiers_skolemize @t264 1)) % 47.66/47.82 (define @t266 () (tptp.neq @t265 tptp.nil)) % 47.66/47.82 (define @t267 () (@quantifiers_skolemize @t264 2)) % 47.66/47.82 (define @t268 () (tptp.memberP @t265 @t267)) % 47.66/47.82 (define @t269 () (not @t268)) % 47.66/47.82 (define @t270 () (tptp.cons @t267 tptp.nil)) % 47.66/47.82 (define @t271 () (@quantifiers_skolemize @t264 0)) % 47.66/47.82 (define @t272 () (= @t271 @t270)) % 47.66/47.82 (define @t273 () (not @t272)) % 47.66/47.82 (define @t274 () (tptp.ssItem @t267)) % 47.66/47.82 (define @t275 () (not @t274)) % 47.66/47.82 (define @t276 () (or @t275 @t273 @t269)) % 47.66/47.82 (define @t277 () (and @t276 @t266)) % 47.66/47.82 (define @t278 () (= tptp.nil @t265)) % 47.66/47.82 (define @t279 () (= tptp.nil @t271)) % 47.66/47.82 (define @t280 () (not @t279)) % 47.66/47.82 (define @t281 () (and @t280 @t278)) % 47.66/47.82 (define @t282 () (tptp.segmentP @t265 @t271)) % 47.66/47.82 (define @t283 () (tptp.neq @t271 tptp.nil)) % 47.66/47.82 (define @t284 () (and @t283 @t282)) % 47.66/47.82 (define @t285 () (and @t278 @t279)) % 47.66/47.82 (define @t286 () (tptp.ssList @t265)) % 47.66/47.82 (define @t287 () (not @t286)) % 47.66/47.82 (define @t288 () (tptp.ssList @t271)) % 47.66/47.82 (define @t289 () (not @t288)) % 47.66/47.82 (define @t290 () (or @t289 @t287 @t285 @t284 @t281 @t277)) % 47.66/47.82 (define @t291 () (not @t290)) % 47.66/47.82 (define @t292 () (not @t264)) % 47.66/47.82 (define @t293 () (= @t271 tptp.nil)) % 47.66/47.82 (define @t294 () (not @t293)) % 47.66/47.82 (define @t295 () (and @t294 @t278)) % 47.66/47.82 (define @t296 () (and @t278 @t293)) % 47.66/47.82 (define @t297 () (or @t289 @t287 @t296 @t284 @t295 @t277)) % 47.66/47.82 (define @t298 () (not @t297)) % 47.66/47.82 (define @t299 () (@list true)) % 47.66/47.82 (define @t300 () (@list @t290)) % 47.66/47.82 (define @t301 () (@var "BOUND_VARIABLE_9104" $$unsorted)) % 47.66/47.82 (define @t302 () (= (tptp.neq @t2 @t301) (not (= @t2 @t301)))) % 47.66/47.82 (define @t303 () (not (tptp.ssList @t301))) % 47.66/47.82 (define @t304 () (or @t143 @t303 @t302)) % 47.66/47.82 (define @t305 () (or @t303 @t302)) % 47.66/47.82 (define @t306 () (or @t143 @t305)) % 47.66/47.82 (define @t307 () (@list @t2 @t301)) % 47.66/47.82 (define @t308 () (forall @t307 @t306)) % 47.66/47.82 (define @t309 () (@list @t301)) % 47.66/47.82 (define @t310 () (forall @t309 @t306)) % 47.66/47.82 (define @t311 () (forall @t309 @t305)) % 47.66/47.82 (define @t312 () (@list @t1)) % 47.66/47.82 (define @t313 () (or @t143 @t311)) % 47.66/47.82 (define @t314 () (forall @t7 (or @t160 @t5))) % 47.66/47.82 (define @t315 () (not (= @t265 tptp.nil))) % 47.66/47.82 (define @t316 () (= @t266 @t315)) % 47.66/47.82 (define @t317 () (not @t56)) % 47.66/47.82 (define @t318 () (or @t287 @t317 @t316)) % 47.66/47.82 (define @t319 () (forall @t307 @t304)) % 47.66/47.82 (define @t320 () (not @t278)) % 47.66/47.82 (define @t321 () (= @t266 @t320)) % 47.66/47.82 (define @t322 () (or @t287 @t317 @t321)) % 47.66/47.82 (define @t323 () (@list false)) % 47.66/47.82 (define @t324 () (@list @t319)) % 47.66/47.82 (define @t325 () (@list false false false)) % 47.66/47.82 (define @t326 () (@var "BOUND_VARIABLE_9148" $$unsorted)) % 47.66/47.82 (define @t327 () (not (= @t2 (tptp.cons @t326 @t2)))) % 47.66/47.82 (define @t328 () (not (tptp.ssItem @t326))) % 47.66/47.82 (define @t329 () (or @t328 @t327)) % 47.66/47.82 (define @t330 () (or @t143 @t329)) % 47.66/47.82 (define @t331 () (forall (@list @t2 @t326) @t330)) % 47.66/47.82 (define @t332 () (@list @t326)) % 47.66/47.82 (define @t333 () (forall @t332 @t330)) % 47.66/47.82 (define @t334 () (forall @t332 @t329)) % 47.66/47.82 (define @t335 () (or @t143 @t334)) % 47.66/47.82 (define @t336 () (not (= @t2 @t51))) % 47.66/47.82 (define @t337 () (not @t6)) % 47.66/47.82 (define @t338 () (forall @t7 (or @t337 @t336))) % 47.66/47.82 (define @t339 () (= tptp.nil @t270)) % 47.66/47.82 (define @t340 () (not @t339)) % 47.66/47.82 (define @t341 () (or @t317 @t275 @t340)) % 47.66/47.82 (define @t342 () (@var "BOUND_VARIABLE_8231" $$unsorted)) % 47.66/47.82 (define @t343 () (@var "BOUND_VARIABLE_8256" $$unsorted)) % 47.66/47.82 (define @t344 () (not (tptp.ssList @t342))) % 47.66/47.82 (define @t345 () (@list @t12 @t342)) % 47.66/47.82 (define @t346 () (= (tptp.memberP @t2 @t343) (not (forall @t345 (or @t200 @t344 (not (= @t2 (tptp.app @t12 (tptp.cons @t343 @t342))))))))) % 47.66/47.82 (define @t347 () (not (tptp.ssItem @t343))) % 47.66/47.82 (define @t348 () (or @t347 @t346)) % 47.66/47.82 (define @t349 () (or @t143 @t348)) % 47.66/47.82 (define @t350 () (forall (@list @t2 @t343) @t349)) % 47.66/47.82 (define @t351 () (@list @t343)) % 47.66/47.82 (define @t352 () (forall @t351 @t349)) % 47.66/47.82 (define @t353 () (forall @t351 @t348)) % 47.66/47.82 (define @t354 () (or @t143 @t353)) % 47.66/47.82 (define @t355 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t342))))) % 47.66/47.82 (define @t356 () (or @t200 @t344 @t355)) % 47.66/47.82 (define @t357 () (= @t22 (not (forall @t345 @t356)))) % 47.66/47.82 (define @t358 () (forall @t7 (or @t337 @t357))) % 47.66/47.82 (define @t359 () (or @t344 @t355)) % 47.66/47.82 (define @t360 () (or @t200 @t359)) % 47.66/47.82 (define @t361 () (forall @t345 @t360)) % 47.66/47.82 (define @t362 () (@list @t342)) % 47.66/47.82 (define @t363 () (forall @t362 @t360)) % 47.66/47.82 (define @t364 () (forall @t362 @t359)) % 47.66/47.82 (define @t365 () (@list @t10)) % 47.66/47.82 (define @t366 () (or @t200 @t364)) % 47.66/47.82 (define @t367 () (= @t2 @t13)) % 47.66/47.82 (define @t368 () (forall @t16 (or @t239 (not @t367)))) % 47.66/47.82 (define @t369 () (not @t368)) % 47.66/47.82 (define @t370 () (and @t18 @t369)) % 47.66/47.82 (define @t371 () (forall @t20 (not @t370))) % 47.66/47.82 (define @t372 () (not @t371)) % 47.66/47.82 (define @t373 () (and @t14 @t367)) % 47.66/47.82 (define @t374 () (forall @t16 (not @t373))) % 47.66/47.82 (define @t375 () (not @t374)) % 47.66/47.82 (define @t376 () (forall @t345 (or @t200 @t344 (not (= @t265 (tptp.app @t12 (tptp.cons @t267 @t342))))))) % 47.66/47.82 (define @t377 () (not @t376)) % 47.66/47.82 (define @t378 () (= @t268 @t377)) % 47.66/47.82 (define @t379 () (or @t287 @t275 @t378)) % 47.66/47.82 (define @t380 () (and @t272 @t340)) % 47.66/47.82 (define @t381 () (= @t283 @t294)) % 47.66/47.82 (define @t382 () (or @t289 @t317 @t381)) % 47.66/47.82 (define @t383 () (= @t283 @t280)) % 47.66/47.82 (define @t384 () (or @t289 @t317 @t383)) % 47.66/47.82 (define @t385 () (not @t383)) % 47.66/47.82 (define @t386 () (not @t280)) % 47.66/47.82 (define @t387 () (@quantifiers_skolemize @t376 1)) % 47.66/47.82 (define @t388 () (tptp.cons @t267 @t387)) % 47.66/47.82 (define @t389 () (@quantifiers_skolemize @t376 0)) % 47.66/47.82 (define @t390 () (tptp.app @t389 @t388)) % 47.66/47.82 (define @t391 () (= @t265 @t390)) % 47.66/47.82 (define @t392 () (not @t391)) % 47.66/47.82 (define @t393 () (tptp.ssList @t387)) % 47.66/47.82 (define @t394 () (not @t393)) % 47.66/47.82 (define @t395 () (tptp.ssList @t389)) % 47.66/47.82 (define @t396 () (not @t395)) % 47.66/47.82 (define @t397 () (or @t396 @t394 @t392)) % 47.66/47.82 (define @t398 () (not @t397)) % 47.66/47.82 (define @t399 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 47.66/47.82 (define @t400 () (tptp.ssList (tptp.cons @t399 @t2))) % 47.66/47.82 (define @t401 () (not (tptp.ssItem @t399))) % 47.66/47.82 (define @t402 () (or @t401 @t400)) % 47.66/47.82 (define @t403 () (or @t143 @t402)) % 47.66/47.82 (define @t404 () (forall (@list @t2 @t399) @t403)) % 47.66/47.82 (define @t405 () (@list @t399)) % 47.66/47.82 (define @t406 () (forall @t405 @t403)) % 47.66/47.82 (define @t407 () (forall @t405 @t402)) % 47.66/47.82 (define @t408 () (or @t143 @t407)) % 47.66/47.82 (define @t409 () (forall @t7 (or @t337 @t52))) % 47.66/47.82 (define @t410 () (@list @t387 @t267)) % 47.66/47.82 (define @t411 () (tptp.ssList @t388)) % 47.66/47.82 (define @t412 () (or @t394 @t275 @t411)) % 47.66/47.82 (define @t413 () (@var "BOUND_VARIABLE_10528" $$unsorted)) % 47.66/47.82 (define @t414 () (= (tptp.cons @t413 @t2) (tptp.app (tptp.cons @t413 tptp.nil) @t2))) % 47.66/47.82 (define @t415 () (not (tptp.ssItem @t413))) % 47.66/47.82 (define @t416 () (or @t415 @t414)) % 47.66/47.82 (define @t417 () (or @t143 @t416)) % 47.66/47.82 (define @t418 () (forall (@list @t2 @t413) @t417)) % 47.66/47.82 (define @t419 () (@list @t413)) % 47.66/47.82 (define @t420 () (forall @t419 @t417)) % 47.66/47.82 (define @t421 () (forall @t419 @t416)) % 47.66/47.82 (define @t422 () (or @t143 @t421)) % 47.66/47.82 (define @t423 () (forall @t7 (or @t337 @t100))) % 47.66/47.82 (define @t424 () (tptp.app @t270 @t387)) % 47.66/47.82 (define @t425 () (= @t388 @t424)) % 47.66/47.82 (define @t426 () (or @t394 @t275 @t425)) % 47.66/47.82 (define @t427 () (@list @t271)) % 47.66/47.82 (define @t428 () (tptp.segmentP @t271 @t271)) % 47.66/47.83 (define @t429 () (or @t289 @t428)) % 47.66/47.83 (define @t430 () (@list false false)) % 47.66/47.83 (define @t431 () (@var "BOUND_VARIABLE_10203" $$unsorted)) % 47.66/47.83 (define @t432 () (@var "BOUND_VARIABLE_10207" $$unsorted)) % 47.66/47.83 (define @t433 () (@var "BOUND_VARIABLE_10205" $$unsorted)) % 47.66/47.83 (define @t434 () (tptp.segmentP (tptp.app (tptp.app @t433 @t2) @t432) @t431)) % 47.66/47.83 (define @t435 () (not (tptp.ssList @t432))) % 47.66/47.83 (define @t436 () (not (tptp.ssList @t433))) % 47.66/47.83 (define @t437 () (not (tptp.segmentP @t2 @t431))) % 47.66/47.83 (define @t438 () (not (tptp.ssList @t431))) % 47.66/47.83 (define @t439 () (or @t438 @t437 @t436 @t435 @t434)) % 47.66/47.83 (define @t440 () (or @t143 @t439)) % 47.66/47.83 (define @t441 () (forall (@list @t2 @t431 @t433 @t432) @t440)) % 47.66/47.83 (define @t442 () (@list @t431 @t433 @t432)) % 47.66/47.83 (define @t443 () (forall @t442 @t440)) % 47.66/47.83 (define @t444 () (forall @t442 @t439)) % 47.66/47.83 (define @t445 () (@var "BOUND_VARIABLE_10184" $$unsorted)) % 47.66/47.83 (define @t446 () (@var "BOUND_VARIABLE_10182" $$unsorted)) % 47.66/47.83 (define @t447 () (or @t143 @t444)) % 47.66/47.83 (define @t448 () (tptp.segmentP (tptp.app (tptp.app @t446 @t2) @t445) @t1)) % 47.66/47.83 (define @t449 () (not (tptp.ssList @t445))) % 47.66/47.83 (define @t450 () (not (tptp.ssList @t446))) % 47.66/47.83 (define @t451 () (not @t35)) % 47.66/47.83 (define @t452 () (or @t160 @t451 @t450 @t449 @t448)) % 47.66/47.83 (define @t453 () (@list @t1 @t446 @t445)) % 47.66/47.83 (define @t454 () (forall @t453 @t452)) % 47.66/47.83 (define @t455 () (or @t450 @t449 @t448)) % 47.66/47.83 (define @t456 () (or @t160 @t451 @t455)) % 47.66/47.83 (define @t457 () (forall @t453 @t456)) % 47.66/47.83 (define @t458 () (@list @t446 @t445)) % 47.66/47.83 (define @t459 () (forall @t458 @t456)) % 47.66/47.83 (define @t460 () (forall @t458 @t455)) % 47.66/47.83 (define @t461 () (@var "BOUND_VARIABLE_10165" $$unsorted)) % 47.66/47.83 (define @t462 () (or @t160 @t451 @t460)) % 47.66/47.83 (define @t463 () (tptp.segmentP (tptp.app @t81 @t461) @t1)) % 47.66/47.83 (define @t464 () (not (tptp.ssList @t461))) % 47.66/47.83 (define @t465 () (or @t200 @t464 @t463)) % 47.66/47.83 (define @t466 () (@list @t12 @t461)) % 47.66/47.83 (define @t467 () (forall @t466 @t465)) % 47.66/47.83 (define @t468 () (or @t160 @t451 @t467)) % 47.66/47.83 (define @t469 () (or @t451 @t467)) % 47.66/47.83 (define @t470 () (or @t464 @t463)) % 47.66/47.83 (define @t471 () (or @t200 @t470)) % 47.66/47.83 (define @t472 () (forall @t466 @t471)) % 47.66/47.83 (define @t473 () (@list @t461)) % 47.66/47.83 (define @t474 () (forall @t473 @t471)) % 47.66/47.83 (define @t475 () (forall @t473 @t470)) % 47.66/47.83 (define @t476 () (or @t200 @t475)) % 47.66/47.83 (define @t477 () (or @t239 @t85)) % 47.66/47.83 (define @t478 () (forall @t16 @t477)) % 47.66/47.83 (define @t479 () (or @t200 @t478)) % 47.66/47.83 (define @t480 () (forall @t20 @t479)) % 47.66/47.83 (define @t481 () (or @t451 @t480)) % 47.66/47.83 (define @t482 () (or @t451 @t479)) % 47.66/47.83 (define @t483 () (or @t200 @t451 @t478)) % 47.66/47.83 (define @t484 () (or @t451 @t478)) % 47.66/47.83 (define @t485 () (or @t451 @t477)) % 47.66/47.83 (define @t486 () (or @t239 @t451 @t85)) % 47.66/47.83 (define @t487 () (tptp.app tptp.nil @t271)) % 47.66/47.83 (define @t488 () (tptp.segmentP (tptp.app @t487 @t387) @t271)) % 47.66/47.83 (define @t489 () (not @t428)) % 47.66/47.83 (define @t490 () (or @t289 @t289 @t489 @t317 @t394 @t488)) % 47.66/47.83 (define @t491 () (= @t2 @t105)) % 47.66/47.83 (define @t492 () (= @t265 (tptp.app @t265 tptp.nil))) % 47.66/47.83 (define @t493 () (or @t287 @t492)) % 47.66/47.83 (define @t494 () (tptp.app @t390 tptp.nil)) % 47.66/47.83 (define @t495 () (tptp.segmentP @t494 @t271)) % 47.66/47.83 (define @t496 () (not @t495)) % 47.66/47.83 (define @t497 () (not @t492)) % 47.66/47.83 (define @t498 () (not @t282)) % 47.66/47.83 (define @t499 () (and @t498 @t492 @t391)) % 47.66/47.83 (define @t500 () (= @t2 @t70)) % 47.66/47.83 (define @t501 () (= @t271 @t487)) % 47.66/47.83 (define @t502 () (or @t289 @t501)) % 47.66/47.83 (define @t503 () (tptp.segmentP @t388 @t271)) % 47.66/47.83 (define @t504 () (and @t272 @t501 @t425 @t488)) % 47.66/47.83 (define @t505 () (not @t503)) % 47.66/47.83 (define @t506 () (not @t411)) % 47.66/47.83 (define @t507 () (or @t506 @t289 @t505 @t396 @t317 @t495)) % 47.66/47.83 (define @t508 () (@list true false)) % 47.66/47.83 (define @t509 () (not @t321)) % 47.66/47.83 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 47.66/47.83 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 47.66/47.83 (assume @p3 @t28) % 47.66/47.83 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 47.66/47.83 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 47.66/47.83 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 47.66/47.83 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 47.66/47.83 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not (and @t37 @t36))))))))))))))))) % 47.66/47.83 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t37 @t36)))))))))))))))) % 47.66/47.83 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t46 (tptp.lt @t12 @t1))))))))))))))))) % 47.66/47.83 (assume @p11 (forall @t9 (=> @t26 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t37))))))))))))))) % 47.66/47.83 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t46))))))))))))))) % 47.66/47.83 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not @t47)))))))))))))))) % 47.66/47.83 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t39))) @t2) @t47))))))))))))) % 47.66/47.83 (assume @p15 @t50) % 47.66/47.83 (assume @p16 @t55) % 47.66/47.83 (assume @p17 @t56) % 47.66/47.83 (assume @p18 @t61) % 47.66/47.83 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t62))))))))))) % 47.66/47.83 (assume @p20 (forall @t9 (=> @t26 (or @t64 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t63 @t2))))))))) % 47.66/47.83 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 47.66/47.83 (assume @p22 (forall @t9 (=> @t26 (=> @t66 (tptp.ssItem @t65))))) % 47.66/47.83 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t51) @t1)))))) % 47.66/47.83 (assume @p24 (forall @t9 (=> @t26 (=> @t66 (tptp.ssList @t67))))) % 47.66/47.83 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t51) @t2)))))) % 47.66/47.83 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t68)))))) % 47.66/47.83 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (= (tptp.cons @t12 @t69) (tptp.app @t63 @t2))))))))) % 47.66/47.83 (assume @p28 @t72) % 47.66/47.83 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t74 @t73) @t3)))))) % 47.66/47.83 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t37) (tptp.leq @t2 @t12))))))))) % 47.66/47.83 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 47.66/47.83 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 @t73)))))) % 47.66/47.83 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not @t76))))))) % 47.66/47.83 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t77 @t46) @t78)))))))) % 47.66/47.83 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 @t76)))))) % 47.66/47.83 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t80))))))))) % 47.66/47.83 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t80))))))))) % 47.66/47.83 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 47.66/47.83 (assume @p39 (not (tptp.singletonP tptp.nil))) % 47.66/47.83 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 47.66/47.83 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 47.66/47.83 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 47.66/47.83 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 47.66/47.83 (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)))))))))))) % 47.66/47.83 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 47.66/47.83 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t64)))) % 47.66/47.83 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 47.66/47.83 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 47.66/47.83 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 47.66/47.83 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t81 @t1))))))))) % 47.66/47.83 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 47.66/47.83 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t64)))) % 47.66/47.83 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 47.66/47.83 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 @t82) @t3)))))) % 47.66/47.83 (assume @p55 @t84) % 47.66/47.83 (assume @p56 @t93) % 47.66/47.83 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 47.66/47.83 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t64)))) % 47.66/47.83 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t94)))) % 47.66/47.83 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 47.66/47.83 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t94)))) % 47.66/47.83 (assume @p62 (tptp.totalorderP tptp.nil)) % 47.66/47.83 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t94)))) % 47.66/47.83 (assume @p64 (tptp.strictorderP tptp.nil)) % 47.66/47.83 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t94)))) % 47.66/47.83 (assume @p66 (tptp.totalorderedP tptp.nil)) % 47.66/47.83 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t98) (or @t96 (and @t97 (tptp.totalorderedP @t1) (tptp.leq @t2 @t95))))))))) % 47.66/47.83 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t94)))) % 47.66/47.83 (assume @p69 (tptp.strictorderedP tptp.nil)) % 47.66/47.83 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t98) (or @t96 (and @t97 (tptp.strictorderedP @t1) (tptp.lt @t2 @t95))))))))) % 47.66/47.83 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t94)))) % 47.66/47.83 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 47.66/47.83 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t94)))) % 47.66/47.83 (assume @p74 (tptp.equalelemsP tptp.nil)) % 47.66/47.83 (assume @p75 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t6 (= @t65 @t1))))))) % 47.66/47.83 (assume @p76 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t32 (= @t67 @t1))))))) % 47.66/47.83 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t97 @t66 (= @t95 @t65) (= (tptp.tl @t1) @t67)) @t62)))))) % 47.66/47.83 (assume @p78 (forall @t9 (=> @t26 (=> @t66 (= (tptp.cons @t65 @t67) @t2))))) % 47.66/47.83 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t68) @t99)))))))) % 47.66/47.83 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t69) @t99)))))))) % 47.66/47.83 (assume @p81 @t103) % 47.66/47.83 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.app @t68 @t12) (tptp.app @t2 @t30))))))))) % 47.66/47.83 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t68) @t104)))))) % 47.66/47.83 (assume @p84 @t107) % 47.66/47.83 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.hd @t68) @t65))))))) % 47.66/47.83 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.tl @t68) (tptp.app @t67 @t1)))))))) % 47.66/47.83 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t75 (tptp.geq @t1 @t2)) @t3)))))) % 47.66/47.83 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t75 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 47.66/47.83 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 47.66/47.83 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 47.66/47.83 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t46) @t78)))))))) % 47.66/47.83 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (or @t3 @t77))))))) % 47.66/47.83 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 (and @t4 @t74))))))) % 47.66/47.83 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not (tptp.gt @t1 @t2)))))))) % 47.66/47.83 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t79 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 47.66/47.83 (assume @p96 @t132) % 47.66/47.83 (assume @p97 true) % 47.66/47.83 (step @p98 :rule refl :args (@t135)) % 47.66/47.83 (step @p99 :rule eq-symm :args (@t133 tptp.nil)) % 47.66/47.83 (step @p100 :rule refl :args (@t137)) % 47.66/47.83 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t139)) % 47.66/47.83 (step @p102 :rule refl :args (@t140)) % 47.66/47.83 (step @p103 :rule refl :args (@t136)) % 47.66/47.83 (step @p104 :rule nary_cong :premises (@p99 @p103) :args (@t141)) % 47.66/47.83 (step @p105 :rule refl :args (@t142)) % 47.66/47.83 (step @p106 :rule refl :args (@t143)) % 47.66/47.83 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p102 @p101 @p98) :args (@t144)) % 47.66/47.83 (step @p108 :rule aci_norm :args ((= @t146 @t144))) % 47.66/47.83 (step @p109 :rule trans :premises (@p108 @p107)) % 47.66/47.83 (step @p110 :rule cong :premises (@p109) :args (@t148)) % 47.66/47.83 (step @p111 :rule quant-merge-prenex :args ((= (forall @t9 @t150) @t148))) % 47.66/47.83 (step @p112 :rule alpha_equiv :args (@t151 (@list @t133 @t134) (@list @t1 @t152))) % 47.66/47.83 (step @p113 :rule refl :args (@t143)) % 47.66/47.83 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t153)) % 47.66/47.83 (step @p115 :rule quant-miniscope-or :args ((= @t150 @t153))) % 47.66/47.83 (step @p116 :rule trans :premises (@p115 @p114)) % 47.66/47.83 (step @p117 :rule symm :premises (@p116)) % 47.66/47.83 (step @p118 :rule cong :premises (@p117) :args ((forall @t9 @t163))) % 47.66/47.83 (step @p119 :rule trans :premises (@p118 @p111)) % 47.66/47.83 (step @p120 :rule trans :premises (@p119 @p110)) % 47.66/47.83 (step @p121 :rule aci_norm :args ((= (or @t143 @t163) @t163))) % 47.66/47.83 (step @p122 :rule bool-impl-elim :args (@t26 @t163)) % 47.66/47.83 (step @p123 :rule trans :premises (@p122 @p121)) % 47.66/47.83 (step @p124 :rule cong :premises (@p123) :args ((forall @t9 (=> @t26 @t163)))) % 47.66/47.83 (step @p125 :rule trans :premises (@p124 @p120)) % 47.66/47.83 (step @p126 :rule quant-merge-prenex :args ((= (forall @t7 @t165) @t162))) % 47.66/47.83 (step @p127 :rule quant-unused-vars :args ((= @t166 @t154))) % 47.66/47.83 (step @p128 :rule alpha_equiv :args (@t167 (@list @t152) @t169)) % 47.66/47.83 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t170)) % 47.66/47.83 (step @p130 :rule quant-miniscope-and :args ((= @t171 @t170))) % 47.66/47.83 (step @p131 :rule trans :premises (@p130 @p129)) % 47.66/47.83 (step @p132 :rule refl :args (@t158)) % 47.66/47.83 (step @p133 :rule refl :args (@t109)) % 47.66/47.83 (step @p134 :rule refl :args (@t159)) % 47.66/47.83 (step @p135 :rule refl :args (@t160)) % 47.66/47.83 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132 @p131) :args (@t172)) % 47.66/47.83 (step @p137 :rule quant-miniscope-or :args ((= @t165 @t172))) % 47.66/47.83 (step @p138 :rule trans :premises (@p137 @p136)) % 47.66/47.83 (step @p139 :rule symm :premises (@p138)) % 47.66/47.83 (step @p140 :rule cong :premises (@p139) :args (@t175)) % 47.66/47.83 (step @p141 :rule trans :premises (@p140 @p126)) % 47.66/47.83 (step @p142 :rule nary_cong :premises (@p106 @p141) :args (@t176)) % 47.66/47.83 (step @p143 :rule quant-miniscope-or :args ((= (forall @t7 @t177) @t176))) % 47.66/47.83 (step @p144 :rule aci_norm :args ((= @t178 @t177))) % 47.66/47.83 (step @p145 :rule cong :premises (@p144) :args ((forall @t7 @t178))) % 47.66/47.83 (step @p146 :rule trans :premises (@p145 @p143)) % 47.66/47.83 (step @p147 :rule trans :premises (@p146 @p142)) % 47.66/47.83 (step @p148 :rule aci_norm :args ((= (or @t160 @t179) @t178))) % 47.66/47.83 (step @p149 :rule bool-impl-elim :args (@t32 @t179)) % 47.66/47.83 (step @p150 :rule trans :premises (@p149 @p148)) % 47.66/47.83 (step @p151 :rule cong :premises (@p150) :args ((forall @t7 (=> @t32 @t179)))) % 47.66/47.83 (step @p152 :rule trans :premises (@p151 @p147)) % 47.66/47.83 (step @p153 :rule aci_norm :args ((= (or @t159 @t109 @t160 (or @t143 @t158 @t173)) @t179))) % 47.66/47.83 (step @p154 :rule quant-unused-vars :args ((= @t182 @t154))) % 47.66/47.83 (step @p155 :rule alpha_equiv :args (@t187 @t188 @t169)) % 47.66/47.83 (step @p156 :rule nary_cong :premises (@p155 @p154) :args (@t189)) % 47.66/47.83 (step @p157 :rule quant-miniscope-and :args ((= @t191 @t189))) % 47.66/47.83 (step @p158 :rule trans :premises (@p157 @p156)) % 47.66/47.83 (step @p159 :rule refl :args (@t158)) % 47.66/47.83 (step @p160 :rule nary_cong :premises (@p106 @p159 @p158) :args (@t192)) % 47.66/47.83 (step @p161 :rule quant-miniscope-or :args ((= (forall @t181 @t193) @t192))) % 47.66/47.83 (step @p162 :rule trans :premises (@p161 @p160)) % 47.66/47.83 (step @p163 :rule aci_norm :args ((= (or @t143 false 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(@p622) :args (@t410)) % 47.66/47.83 (step @p624 :rule cnf_or_pos :args (@t426)) % 47.66/47.83 (step @p625 :rule reordering :premises (@p624) :args ((or @t275 @t394 @t425 (not @t426)))) % 47.66/47.83 (step @p626 :rule bool-impl-elim :args (@t26 @t83)) % 47.66/47.83 (step @p627 :rule cong :premises (@p626) :args (@t84)) % 47.66/47.83 (step @p628 :rule eq_resolve :premises (@p55 @p627)) % 47.66/47.83 (step @p629 :rule instantiate :premises (@p628) :args (@t427)) % 47.66/47.83 (step @p630 :rule cnf_or_pos :args (@t429)) % 47.66/47.83 (step @p631 :rule reordering :premises (@p630) :args ((or @t289 @t428 (not @t429)))) % 47.66/47.83 (step @p632 :rule chain_m_resolution :premises (@p631 @p542 @p629) :args (@t428 @t430 (@list @t288 @t429))) % 47.66/47.83 (step @p633 :rule aci_norm :args ((= @t440 (or @t143 @t438 @t437 @t436 @t435 @t434)))) % 47.66/47.83 (step @p634 :rule cong :premises (@p633) :args (@t441)) % 47.66/47.83 (step @p635 :rule quant-merge-prenex :args ((= (forall @t9 @t443) @t441))) % 47.66/47.83 (step @p636 :rule alpha_equiv :args (@t444 (@list @t431 @t433 @t432) (@list @t1 @t446 @t445))) % 47.66/47.83 (step @p637 :rule nary_cong :premises (@p113 @p636) :args (@t447)) % 47.66/47.83 (step @p638 :rule quant-miniscope-or :args ((= @t443 @t447))) % 47.66/47.83 (step @p639 :rule trans :premises (@p638 @p637)) % 47.66/47.83 (step @p640 :rule symm :premises (@p639)) % 47.66/47.83 (step @p641 :rule cong :premises (@p640) :args ((forall @t9 (or @t143 @t454)))) % 47.66/47.83 (step @p642 :rule trans :premises (@p641 @p635)) % 47.66/47.83 (step @p643 :rule trans :premises (@p642 @p634)) % 47.66/47.83 (step @p644 :rule bool-impl-elim :args (@t26 @t454)) % 47.66/47.83 (step @p645 :rule cong :premises (@p644) :args ((forall @t9 (=> @t26 @t454)))) % 47.66/47.83 (step @p646 :rule trans :premises (@p645 @p643)) % 47.66/47.83 (step @p647 :rule aci_norm :args ((= @t456 @t452))) % 47.66/47.83 (step @p648 :rule cong :premises (@p647) :args (@t457)) % 47.66/47.83 (step @p649 :rule quant-merge-prenex :args ((= (forall @t7 @t459) @t457))) % 47.66/47.83 (step @p650 :rule alpha_equiv :args (@t460 (@list @t446 @t445) (@list @t12 @t461))) % 47.66/47.83 (step @p651 :rule refl :args (@t451)) % 47.66/47.83 (step @p652 :rule nary_cong :premises (@p135 @p651 @p650) :args (@t462)) % 47.66/47.83 (step @p653 :rule quant-miniscope-or :args ((= @t459 @t462))) % 47.66/47.83 (step @p654 :rule trans :premises (@p653 @p652)) % 47.66/47.83 (step @p655 :rule symm :premises (@p654)) % 47.66/47.83 (step @p656 :rule cong :premises (@p655) :args ((forall @t7 @t468))) % 47.66/47.83 (step @p657 :rule trans :premises (@p656 @p649)) % 47.66/47.83 (step @p658 :rule trans :premises (@p657 @p648)) % 47.66/47.83 (step @p659 :rule aci_norm :args ((= (or @t160 @t469) @t468))) % 47.66/47.83 (step @p660 :rule bool-impl-elim :args (@t32 @t469)) % 47.66/47.83 (step @p661 :rule trans :premises (@p660 @p659)) % 47.66/47.83 (step @p662 :rule cong :premises (@p661) :args ((forall @t7 (=> @t32 @t469)))) % 47.66/47.83 (step @p663 :rule trans :premises (@p662 @p658)) % 47.66/47.83 (step @p664 :rule aci_norm :args ((= @t471 @t465))) % 47.66/47.83 (step @p665 :rule cong :premises (@p664) :args (@t472)) % 47.66/47.83 (step @p666 :rule quant-merge-prenex :args ((= (forall @t20 @t474) @t472))) % 47.66/47.83 (step @p667 :rule alpha_equiv :args (@t475 (@list @t461) @t365)) % 47.66/47.83 (step @p668 :rule nary_cong :premises (@p177 @p667) :args (@t476)) % 47.66/47.83 (step @p669 :rule quant-miniscope-or :args ((= @t474 @t476))) % 47.66/47.83 (step @p670 :rule trans :premises (@p669 @p668)) % 47.66/47.83 (step @p671 :rule symm :premises (@p670)) % 47.66/47.83 (step @p672 :rule cong :premises (@p671) :args (@t480)) % 47.66/47.83 (step @p673 :rule trans :premises (@p672 @p666)) % 47.66/47.83 (step @p674 :rule trans :premises (@p673 @p665)) % 47.66/47.83 (step @p675 :rule refl :args (@t451)) % 47.66/47.83 (step @p676 :rule nary_cong :premises (@p675 @p674) :args (@t481)) % 47.66/47.83 (step @p677 :rule quant-miniscope-or :args ((= (forall @t20 @t482) @t481))) % 47.66/47.83 (step @p678 :rule aci_norm :args ((= @t483 @t482))) % 47.66/47.83 (step @p679 :rule cong :premises (@p678) :args ((forall @t20 @t483))) % 47.66/47.83 (step @p680 :rule trans :premises (@p679 @p677)) % 47.66/47.83 (step @p681 :rule trans :premises (@p680 @p676)) % 47.66/47.83 (step @p682 :rule aci_norm :args ((= (or @t200 @t484) @t483))) % 47.66/47.83 (step @p683 :rule bool-impl-elim :args (@t18 @t484)) % 47.66/47.83 (step @p684 :rule trans :premises (@p683 @p682)) % 47.66/47.83 (step @p685 :rule cong :premises (@p684) :args ((forall @t20 (=> @t18 @t484)))) % 47.66/47.83 (step @p686 :rule trans :premises (@p685 @p681)) % 47.66/47.83 (step @p687 :rule quant-miniscope-or :args ((= (forall @t16 @t485) @t484))) % 47.66/47.83 (step @p688 :rule aci_norm :args ((= @t486 @t485))) % 47.66/47.83 (step @p689 :rule cong :premises (@p688) :args ((forall @t16 @t486))) % 47.66/47.83 (step @p690 :rule trans :premises (@p689 @p687)) % 47.66/47.83 (step @p691 :rule aci_norm :args ((= (or @t239 (or @t451 @t85)) @t486))) % 47.66/47.83 (step @p692 :rule bool-impl-elim :args (@t35 @t85)) % 47.66/47.83 (step @p693 :rule nary_cong :premises (@p241 @p692) :args ((or @t239 @t86))) % 47.66/47.83 (step @p694 :rule trans :premises (@p693 @p691)) % 47.66/47.83 (step @p695 :rule bool-impl-elim :args (@t14 @t86)) % 47.66/47.83 (step @p696 :rule trans :premises (@p695 @p694)) % 47.66/47.83 (step @p697 :rule cong :premises (@p696) :args (@t87)) % 47.66/47.83 (step @p698 :rule trans :premises (@p697 @p690)) % 47.66/47.83 (step @p699 :rule cong :premises (@p308 @p698) :args (@t88)) % 47.66/47.83 (step @p700 :rule cong :premises (@p699) :args (@t89)) % 47.66/47.83 (step @p701 :rule trans :premises (@p700 @p686)) % 47.66/47.83 (step @p702 :rule cong :premises (@p312 @p701) :args (@t90)) % 47.66/47.83 (step @p703 :rule cong :premises (@p702) :args (@t91)) % 47.66/47.83 (step @p704 :rule trans :premises (@p703 @p663)) % 47.66/47.83 (step @p705 :rule cong :premises (@p316 @p704) :args (@t92)) % 47.66/47.83 (step @p706 :rule cong :premises (@p705) :args (@t93)) % 47.66/47.83 (step @p707 :rule trans :premises (@p706 @p646)) % 47.66/47.83 (step @p708 :rule eq_resolve :premises (@p56 @p707)) % 47.66/47.83 (step @p709 :rule instantiate :premises (@p708) :args ((@list @t271 @t271 tptp.nil @t387))) % 47.66/47.83 (step @p710 :rule cnf_or_pos :args (@t490)) % 47.66/47.83 (step @p711 :rule factoring :premises (@p710)) % 47.66/47.83 (step @p712 :rule reordering :premises (@p711) :args ((or @t317 @t289 @t489 @t394 @t488 (not @t490)))) % 47.66/47.83 (step @p713 :rule bool-impl-elim :args (@t26 @t491)) % 47.66/47.83 (step @p714 :rule cong :premises (@p713) :args ((forall @t9 (=> @t26 @t491)))) % 47.66/47.83 (step @p715 :rule eq-symm :args (@t105 @t2)) % 47.66/47.83 (step @p716 :rule cong :premises (@p316 @p715) :args (@t106)) % 47.66/47.83 (step @p717 :rule cong :premises (@p716) :args (@t107)) % 47.66/47.83 (step @p718 :rule trans :premises (@p717 @p714)) % 47.66/47.83 (step @p719 :rule eq_resolve :premises (@p84 @p718)) % 47.66/47.83 (step @p720 :rule instantiate :premises (@p719) :args ((@list @t265))) % 47.66/47.83 (step @p721 :rule cnf_or_pos :args (@t493)) % 47.66/47.83 (step @p722 :rule reordering :premises (@p721) :args ((or @t287 @t492 (not @t493)))) % 47.66/47.83 (step @p723 :rule chain_m_resolution :premises (@p722 @p389 @p720) :args (@t492 @t430 (@list @t286 @t493))) % 47.66/47.83 (step @p724 :rule refl :args (@t496)) % 47.66/47.83 (step @p725 :rule refl :args (@t392)) % 47.66/47.83 (step @p726 :rule refl :args (@t497)) % 47.66/47.83 (step @p727 :rule bool-double-not-elim :args (@t282)) % 47.66/47.83 (step @p728 :rule nary_cong :premises (@p727 @p726 @p725 @p724) :args ((or (not @t498) @t497 @t392 @t496))) % 47.66/47.83 (assume-push @p845 @t498) % 47.66/47.83 (assume-push @p846 @t492) % 47.66/47.83 (assume-push @p847 @t391) % 47.66/47.83 (assume-push @p848 @t498) % 47.66/47.83 (assume-push @p849 @t492) % 47.66/47.83 (assume-push @p850 @t391) % 47.66/47.83 (step @p735 :rule false_intro :premises (@p845)) % 47.66/47.83 (step @p736 :rule refl :args (@t271)) % 47.66/47.83 (step @p737 :rule symm :premises (@p723)) % 47.66/47.83 (step @p507 :rule refl :args (tptp.nil)) % 47.66/47.83 (step @p738 :rule symm :premises (@p847)) % 47.66/47.83 (step @p739 :rule cong :premises (@p738 @p507) :args (@t494)) % 47.66/47.83 (step @p740 :rule trans :premises (@p739 @p737)) % 47.66/47.83 (step @p741 :rule cong :premises (@p740 @p736) :args (@t495)) % 47.66/47.83 (step @p742 :rule trans :premises (@p741 @p735)) % 47.66/47.83 (step @p743 :rule false_elim :premises (@p742)) % 47.66/47.83 (step-pop @p851 :rule scope :premises (@p743)) % 47.66/47.83 (step-pop @p852 :rule scope :premises (@p851)) % 47.66/47.83 (step-pop @p853 :rule scope :premises (@p852)) % 47.66/47.83 (step @p744 :rule process_scope :premises (@p853) :args (@t496)) % 47.66/47.83 (step @p748 :rule and_intro :premises (@p845 @p723 @p847)) % 47.66/47.83 (step @p749 :rule modus_ponens :premises (@p748 @p744)) % 47.66/47.83 (step-pop @p854 :rule scope :premises (@p749)) % 47.66/47.83 (step-pop @p855 :rule scope :premises (@p854)) % 47.66/47.83 (step-pop @p856 :rule scope :premises (@p855)) % 47.66/47.83 (step @p750 :rule process_scope :premises (@p856) :args (@t496)) % 47.66/47.83 (step @p754 :rule implies_elim :premises (@p750)) % 47.66/47.83 (step @p755 :rule cnf_and_neg :args (@t499)) % 47.66/47.83 (step @p756 :rule resolution :premises (@p755 @p754) :args (true @t499)) % 47.66/47.83 (step @p757 :rule eq_resolve :premises (@p756 @p728)) % 47.66/47.83 (step @p758 :rule bool-impl-elim :args (@t26 @t500)) % 47.66/47.83 (step @p759 :rule cong :premises (@p758) :args ((forall @t9 (=> @t26 @t500)))) % 47.66/47.83 (step @p760 :rule eq-symm :args (@t70 @t2)) % 47.66/47.83 (step @p761 :rule cong :premises (@p316 @p760) :args (@t71)) % 47.66/47.83 (step @p762 :rule cong :premises (@p761) :args (@t72)) % 47.66/47.83 (step @p763 :rule trans :premises (@p762 @p759)) % 47.66/47.83 (step @p764 :rule eq_resolve :premises (@p28 @p763)) % 47.66/47.83 (step @p765 :rule instantiate :premises (@p764) :args (@t427)) % 47.66/47.83 (step @p766 :rule cnf_or_pos :args (@t502)) % 47.66/47.83 (step @p767 :rule reordering :premises (@p766) :args ((or @t289 @t501 (not @t502)))) % 47.66/47.83 (step @p768 :rule chain_m_resolution :premises (@p767 @p542 @p765) :args (@t501 @t430 (@list @t288 @t502))) % 47.66/47.83 (assume-push @p857 @t272) % 47.66/47.83 (assume-push @p858 @t501) % 47.66/47.83 (assume-push @p859 @t425) % 47.66/47.83 (assume-push @p860 @t488) % 47.66/47.83 (assume-push @p861 @t488) % 47.66/47.83 (assume-push @p862 @t501) % 47.66/47.83 (assume-push @p863 @t272) % 47.66/47.83 (assume-push @p864 @t425) % 47.66/47.83 (step @p777 :rule true_intro :premises (@p860)) % 47.66/47.83 (step @p736 :rule refl :args (@t271)) % 47.66/47.83 (step @p778 :rule refl :args (@t387)) % 47.66/47.83 (step @p779 :rule cong :premises (@p768 @p778) :args ((tptp.app @t271 @t387))) % 47.66/47.83 (step @p780 :rule symm :premises (@p857)) % 47.66/47.83 (step @p781 :rule cong :premises (@p780 @p778) :args (@t424)) % 47.66/47.83 (step @p782 :rule trans :premises (@p859 @p781 @p779)) % 47.66/47.83 (step @p783 :rule cong :premises (@p782 @p736) :args (@t503)) % 47.66/47.83 (step @p784 :rule trans :premises (@p783 @p777)) % 47.66/47.83 (step @p785 :rule true_elim :premises (@p784)) % 47.66/47.83 (step-pop @p865 :rule scope :premises (@p785)) % 47.66/47.83 (step-pop @p866 :rule scope :premises (@p865)) % 47.66/47.83 (step-pop @p867 :rule scope :premises (@p866)) % 47.66/47.83 (step-pop @p868 :rule scope :premises (@p867)) % 47.66/47.83 (step @p786 :rule process_scope :premises (@p868) :args (@t503)) % 47.66/47.83 (step @p791 :rule and_intro :premises (@p860 @p768 @p857 @p859)) % 47.66/47.83 (step @p792 :rule modus_ponens :premises (@p791 @p786)) % 47.66/47.83 (step-pop @p869 :rule scope :premises (@p792)) % 47.66/47.83 (step-pop @p870 :rule scope :premises (@p869)) % 47.66/47.83 (step-pop @p871 :rule scope :premises (@p870)) % 47.66/47.83 (step-pop @p872 :rule scope :premises (@p871)) % 47.66/47.83 (step @p793 :rule process_scope :premises (@p872) :args (@t503)) % 47.66/47.83 (step @p798 :rule implies_elim :premises (@p793)) % 47.66/47.83 (step @p799 :rule cnf_and_neg :args (@t504)) % 47.66/47.83 (step @p800 :rule resolution :premises (@p799 @p798) :args (true @t504)) % 47.66/47.83 (step @p801 :rule reordering :premises (@p800) :args ((or @t273 (not @t501) @t503 (not @t425) (not @t488)))) % 47.66/47.83 (step @p802 :rule instantiate :premises (@p708) :args ((@list @t388 @t271 @t389 tptp.nil))) % 47.66/47.83 (step @p803 :rule cnf_or_pos :args (@t507)) % 47.66/47.83 (step @p804 :rule reordering :premises (@p803) :args ((or @t317 @t289 @t396 @t506 @t505 @t495 (not @t507)))) % 47.66/47.83 (step @p805 :rule chain_m_resolution :premises (@p804 @p802 @p542 @p17 @p801 @p768 @p757 @p723 @p712 @p709 @p632 @p542 @p17 @p625 @p623 @p602 @p600 @p579 @p574 @p569 @p563 @p562 @p560 @p551 @p545 @p525 @p523 @p497 @p495 @p389 @p437 @p435 @p17 @p408 @p403 @p398) :args (@t276 (@list false false false false false true false false false false false false false false false false false false false true true true false false true true false false false true false false false false false) (@list @t507 @t288 @t56 @t503 @t501 @t495 @t492 @t488 @t490 @t428 @t288 @t56 @t425 @t426 @t411 @t412 @t391 @t393 @t395 @t282 @t284 @t397 @t283 @t383 @t376 @t279 @t378 @t379 @t286 @t339 @t341 @t56 @t268 @t272 @t274))) % 47.66/47.83 (step @p806 :rule cnf_or_neg :args (@t290 5)) % 47.66/47.83 (step @p807 :rule chain_m_resolution :premises (@p806 @p345) :args ((not @t277) @t299 @t300)) % 47.66/47.83 (step @p808 :rule cnf_and_neg :args (@t277)) % 47.66/47.83 (step @p809 :rule chain_m_resolution :premises (@p808 @p807 @p805) :args ((not @t266) @t508 (@list @t277 @t276))) % 47.66/47.83 (step @p810 :rule bool-double-not-elim :args (@t278)) % 47.66/47.83 (step @p811 :rule refl :args (@t509)) % 47.66/47.83 (step @p812 :rule nary_cong :premises (@p811 @p370 @p810) :args ((or @t509 @t266 (not @t320)))) % 47.66/47.83 (step @p813 :rule cnf_equiv_pos2 :args (@t321)) % 47.66/47.83 (step @p814 :rule eq_resolve :premises (@p813 @p812)) % 47.66/47.83 (step @p815 :rule reordering :premises (@p814) :args ((or @t278 @t266 @t509))) % 47.66/47.83 (step @p816 :rule chain_m_resolution :premises (@p815 @p809 @p392) :args (@t278 @t508 (@list @t266 @t321))) % 47.66/47.83 (step @p817 :rule cnf_or_neg :args (@t290 2)) % 47.66/47.83 (step @p818 :rule chain_m_resolution :premises (@p817 @p345) :args ((not @t285) @t299 @t300)) % 47.66/47.83 (step @p819 :rule cnf_and_neg :args (@t285)) % 47.66/47.83 (step @p820 :rule reordering :premises (@p819) :args ((or @t285 @t280 @t320))) % 47.66/47.83 (step @p821 :rule chain_m_resolution :premises (@p820 @p818 @p816) :args (@t280 @t508 (@list @t285 @t278))) % 47.66/47.83 (step @p822 :rule refl :args (@t320)) % 47.66/47.83 (step @p823 :rule refl :args (@t281)) % 47.66/47.83 (step @p824 :rule nary_cong :premises (@p823 @p546 @p822) :args ((or @t281 @t386 @t320))) % 47.66/47.83 (step @p825 :rule cnf_and_neg :args (@t281)) % 47.66/47.83 (step @p826 :rule eq_resolve :premises (@p825 @p824)) % 47.66/47.83 (step @p827 :rule reordering :premises (@p826) :args ((or @t279 @t281 @t320))) % 47.66/47.83 (step @p828 false :rule chain_m_resolution :premises (@p827 @p821 @p816 @p347) :args (false (@list true false true) (@list @t279 @t278 @t281))) % 47.66/47.83 ) % 47.66/47.83 % SZS output end Proof % 47.66/47.83 % cvc5 exiting %------------------------------------------------------------------------------