%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC179+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 : n020.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 08:58:21 AM UTC 2026 % Result : Theorem 0.39s 0.73s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC179+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:22:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.73 % SZS status Theorem % 0.39/0.73 % SZS output start Proof % 0.39/0.73 ( % 0.39/0.73 (declare-sort $$unsorted 0) % 0.39/0.73 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/0.73 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/0.73 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.73 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.73 (declare-const tptp.nil $$unsorted) % 0.39/0.73 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/0.73 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.73 (define @t1 () (@var "V" $$unsorted)) % 0.39/0.73 (define @t2 () (@var "U" $$unsorted)) % 0.39/0.73 (define @t3 () (= @t2 @t1)) % 0.39/0.73 (define @t4 () (not @t3)) % 0.39/0.73 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.39/0.73 (define @t6 () (tptp.ssItem @t1)) % 0.39/0.73 (define @t7 () (@list @t1)) % 0.39/0.73 (define @t8 () (tptp.ssItem @t2)) % 0.39/0.73 (define @t9 () (@list @t2)) % 0.39/0.73 (define @t10 () (@var "X" $$unsorted)) % 0.39/0.73 (define @t11 () (tptp.cons @t1 @t10)) % 0.39/0.73 (define @t12 () (@var "W" $$unsorted)) % 0.39/0.73 (define @t13 () (tptp.ssList @t10)) % 0.39/0.73 (define @t14 () (@list @t10)) % 0.39/0.73 (define @t15 () (tptp.ssList @t12)) % 0.39/0.73 (define @t16 () (@list @t12)) % 0.39/0.73 (define @t17 () (tptp.ssList @t2)) % 0.39/0.73 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.39/0.73 (define @t19 () (tptp.app @t1 @t12)) % 0.39/0.73 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.39/0.73 (define @t21 () (tptp.ssList @t1)) % 0.39/0.73 (define @t22 () (tptp.app @t12 @t1)) % 0.39/0.73 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.39/0.73 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.39/0.73 (define @t25 () (tptp.leq @t12 @t1)) % 0.39/0.73 (define @t26 () (tptp.leq @t1 @t12)) % 0.39/0.73 (define @t27 () (@var "Z" $$unsorted)) % 0.39/0.73 (define @t28 () (@var "Y" $$unsorted)) % 0.39/0.73 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.39/0.73 (define @t30 () (tptp.ssList @t27)) % 0.39/0.73 (define @t31 () (@list @t27)) % 0.39/0.73 (define @t32 () (tptp.ssList @t28)) % 0.39/0.73 (define @t33 () (@list @t28)) % 0.39/0.73 (define @t34 () (tptp.ssItem @t12)) % 0.39/0.73 (define @t35 () (tptp.lt @t1 @t12)) % 0.39/0.73 (define @t36 () (= @t1 @t12)) % 0.39/0.73 (define @t37 () (tptp.duplicatefreeP @t2)) % 0.39/0.73 (define @t38 () (tptp.cons @t1 @t2)) % 0.39/0.73 (define @t39 () (= @t1 @t2)) % 0.39/0.73 (define @t40 () (tptp.cons @t12 @t1)) % 0.39/0.73 (define @t41 () (= tptp.nil @t2)) % 0.39/0.73 (define @t42 () (tptp.hd @t2)) % 0.39/0.73 (define @t43 () (not @t41)) % 0.39/0.73 (define @t44 () (tptp.tl @t2)) % 0.39/0.73 (define @t45 () (tptp.app @t2 @t1)) % 0.39/0.73 (define @t46 () (tptp.app @t1 @t2)) % 0.39/0.73 (define @t47 () (tptp.leq @t1 @t2)) % 0.39/0.73 (define @t48 () (tptp.leq @t2 @t1)) % 0.39/0.73 (define @t49 () (tptp.geq @t2 @t1)) % 0.39/0.73 (define @t50 () (tptp.lt @t1 @t2)) % 0.39/0.73 (define @t51 () (tptp.lt @t2 @t1)) % 0.39/0.73 (define @t52 () (tptp.lt @t2 @t12)) % 0.39/0.73 (define @t53 () (tptp.gt @t2 @t1)) % 0.39/0.73 (define @t54 () (tptp.memberP @t12 @t2)) % 0.39/0.73 (define @t55 () (tptp.app @t12 @t2)) % 0.39/0.73 (define @t56 () (tptp.cons @t2 tptp.nil)) % 0.39/0.73 (define @t57 () (tptp.hd @t1)) % 0.39/0.73 (define @t58 () (= tptp.nil @t1)) % 0.39/0.73 (define @t59 () (not @t58)) % 0.39/0.73 (define @t60 () (tptp.cons @t2 @t1)) % 0.39/0.73 (define @t61 () (tptp.duplicatefreeP @t56)) % 0.39/0.73 (define @t62 () (forall @t9 (=> @t8 @t61))) % 0.39/0.73 (define @t63 () (tptp.duplicatefreeP tptp.nil)) % 0.39/0.73 (define @t64 () (= @t12 @t2)) % 0.39/0.73 (define @t65 () (not (= tptp.nil @t12))) % 0.39/0.73 (define @t66 () (not (= tptp.nil @t10))) % 0.39/0.73 (define @t67 () (or @t66 @t65)) % 0.39/0.73 (define @t68 () (@var "X3" $$unsorted)) % 0.39/0.73 (define @t69 () (tptp.lt @t68 @t28)) % 0.39/0.73 (define @t70 () (@var "X1" $$unsorted)) % 0.39/0.73 (define @t71 () (tptp.memberP @t70 @t68)) % 0.39/0.73 (define @t72 () (tptp.ssItem @t68)) % 0.39/0.73 (define @t73 () (and @t72 @t71 @t69)) % 0.39/0.73 (define @t74 () (@list @t68)) % 0.39/0.73 (define @t75 () (exists @t74 @t73)) % 0.39/0.73 (define @t76 () (@var "X2" $$unsorted)) % 0.39/0.73 (define @t77 () (tptp.lt @t28 @t76)) % 0.39/0.73 (define @t78 () (tptp.memberP @t27 @t76)) % 0.39/0.73 (define @t79 () (tptp.ssItem @t76)) % 0.39/0.73 (define @t80 () (and @t79 @t78 @t77)) % 0.39/0.73 (define @t81 () (@list @t76)) % 0.39/0.73 (define @t82 () (exists @t81 @t80)) % 0.39/0.73 (define @t83 () (tptp.app @t27 @t12)) % 0.39/0.73 (define @t84 () (tptp.app @t83 @t70)) % 0.39/0.73 (define @t85 () (not (= @t84 @t10))) % 0.39/0.73 (define @t86 () (tptp.cons @t28 tptp.nil)) % 0.39/0.73 (define @t87 () (not (= @t86 @t12))) % 0.39/0.73 (define @t88 () (or @t87 @t85 @t82 @t75)) % 0.39/0.73 (define @t89 () (tptp.ssList @t70)) % 0.39/0.73 (define @t90 () (=> @t89 @t88)) % 0.39/0.73 (define @t91 () (@list @t70)) % 0.39/0.73 (define @t92 () (forall @t91 @t90)) % 0.39/0.73 (define @t93 () (=> @t30 @t92)) % 0.39/0.73 (define @t94 () (forall @t31 @t93)) % 0.39/0.73 (define @t95 () (tptp.ssItem @t28)) % 0.39/0.73 (define @t96 () (=> @t95 @t94)) % 0.39/0.73 (define @t97 () (forall @t33 @t96)) % 0.39/0.73 (define @t98 () (and @t97 @t67)) % 0.39/0.73 (define @t99 () (not (= @t2 @t12))) % 0.39/0.73 (define @t100 () (not (= @t1 @t10))) % 0.39/0.73 (define @t101 () (or @t100 @t99 @t37 @t98)) % 0.39/0.73 (define @t102 () (=> @t13 @t101)) % 0.39/0.73 (define @t103 () (forall @t14 @t102)) % 0.39/0.73 (define @t104 () (=> @t15 @t103)) % 0.39/0.73 (define @t105 () (forall @t16 @t104)) % 0.39/0.73 (define @t106 () (=> @t21 @t105)) % 0.39/0.73 (define @t107 () (forall @t7 @t106)) % 0.39/0.73 (define @t108 () (=> @t17 @t107)) % 0.39/0.73 (define @t109 () (forall @t9 @t108)) % 0.39/0.73 (define @t110 () (not @t109)) % 0.39/0.73 (define @t111 () (not (= @t2 tptp.nil))) % 0.39/0.73 (define @t112 () (@var "BOUND_VARIABLE_11309" $$unsorted)) % 0.39/0.73 (define @t113 () (not (= @t112 tptp.nil))) % 0.39/0.73 (define @t114 () (or @t113 @t111)) % 0.39/0.73 (define @t115 () (@var "BOUND_VARIABLE_11311" $$unsorted)) % 0.39/0.73 (define @t116 () (@var "BOUND_VARIABLE_11315" $$unsorted)) % 0.39/0.73 (define @t117 () (not @t72)) % 0.39/0.73 (define @t118 () (@var "BOUND_VARIABLE_11313" $$unsorted)) % 0.39/0.73 (define @t119 () (not @t79)) % 0.39/0.73 (define @t120 () (or (not (tptp.ssItem @t115)) (not (= @t2 (tptp.cons @t115 tptp.nil))) (not (tptp.ssList @t118)) (not (forall @t81 (or @t119 (not (tptp.memberP @t118 @t76)) (not (tptp.lt @t115 @t76))))) (not (tptp.ssList @t116)) (not (= @t112 (tptp.app (tptp.app @t118 @t2) @t116))) (not (forall @t74 (or @t117 (not (tptp.memberP @t116 @t68)) (not (tptp.lt @t68 @t115))))))) % 0.39/0.73 (define @t121 () (and @t120 @t114)) % 0.39/0.73 (define @t122 () (not (tptp.ssList @t112))) % 0.39/0.73 (define @t123 () (not @t17)) % 0.39/0.73 (define @t124 () (or @t123 @t37 @t122 @t121)) % 0.39/0.73 (define @t125 () (or @t122 @t121)) % 0.39/0.73 (define @t126 () (or @t123 @t37 @t125)) % 0.39/0.73 (define @t127 () (@list @t2 @t112 @t115 @t118 @t116)) % 0.39/0.73 (define @t128 () (forall @t127 @t126)) % 0.39/0.73 (define @t129 () (@list @t112 @t115 @t118 @t116)) % 0.39/0.73 (define @t130 () (forall @t129 @t126)) % 0.39/0.73 (define @t131 () (forall @t129 @t125)) % 0.39/0.73 (define @t132 () (@var "BOUND_VARIABLE_11270" $$unsorted)) % 0.39/0.73 (define @t133 () (@var "BOUND_VARIABLE_11268" $$unsorted)) % 0.39/0.73 (define @t134 () (@var "BOUND_VARIABLE_11266" $$unsorted)) % 0.39/0.73 (define @t135 () (or @t123 @t37 @t131)) % 0.39/0.73 (define @t136 () (not (= @t1 tptp.nil))) % 0.39/0.73 (define @t137 () (or @t136 @t111)) % 0.39/0.73 (define @t138 () (or (not (tptp.ssItem @t134)) (not (= @t2 (tptp.cons @t134 tptp.nil))) (not (tptp.ssList @t133)) (not (forall @t81 (or @t119 (not (tptp.memberP @t133 @t76)) (not (tptp.lt @t134 @t76))))) (not (tptp.ssList @t132)) (not (= @t1 (tptp.app (tptp.app @t133 @t2) @t132))) (not (forall @t74 (or @t117 (not (tptp.memberP @t132 @t68)) (not (tptp.lt @t68 @t134))))))) % 0.39/0.73 (define @t139 () (and @t138 @t137)) % 0.39/0.73 (define @t140 () (not @t21)) % 0.39/0.73 (define @t141 () (or @t140 @t139)) % 0.39/0.73 (define @t142 () (forall (@list @t1 @t134 @t133 @t132) @t141)) % 0.39/0.73 (define @t143 () (or @t123 @t37 @t142)) % 0.39/0.73 (define @t144 () (or @t37 @t123 @t142)) % 0.39/0.73 (define @t145 () (@list @t134 @t133 @t132)) % 0.39/0.73 (define @t146 () (forall @t145 @t141)) % 0.39/0.73 (define @t147 () (forall @t145 @t137)) % 0.39/0.73 (define @t148 () (forall @t145 @t138)) % 0.39/0.73 (define @t149 () (@var "BOUND_VARIABLE_11217" $$unsorted)) % 0.39/0.73 (define @t150 () (@var "BOUND_VARIABLE_11215" $$unsorted)) % 0.39/0.73 (define @t151 () (@var "BOUND_VARIABLE_11213" $$unsorted)) % 0.39/0.73 (define @t152 () (@list @t151 @t150 @t149)) % 0.39/0.73 (define @t153 () (and @t148 @t147)) % 0.39/0.73 (define @t154 () (forall @t145 @t139)) % 0.39/0.73 (define @t155 () (or @t140 @t154)) % 0.39/0.73 (define @t156 () (and (forall (@list @t151 @t150 @t149) (or (not (tptp.ssItem @t151)) (not (= @t2 (tptp.cons @t151 tptp.nil))) (not (tptp.ssList @t150)) (not (forall @t81 (or @t119 (not (tptp.memberP @t150 @t76)) (not (tptp.lt @t151 @t76))))) (not (tptp.ssList @t149)) (not (= @t1 (tptp.app (tptp.app @t150 @t2) @t149))) (not (forall @t74 (or @t117 (not (tptp.memberP @t149 @t68)) (not (tptp.lt @t68 @t151))))))) @t137)) % 0.39/0.73 (define @t157 () (or @t140 @t156)) % 0.39/0.73 (define @t158 () (forall @t7 @t157)) % 0.39/0.73 (define @t159 () (or @t37 @t123 @t158)) % 0.39/0.73 (define @t160 () (or @t37 @t123 @t157)) % 0.39/0.73 (define @t161 () (or @t140 @t37 @t123 @t156)) % 0.39/0.73 (define @t162 () (or @t37 @t140 @t123 @t156)) % 0.39/0.73 (define @t163 () (@var "BOUND_VARIABLE_11160" $$unsorted)) % 0.39/0.73 (define @t164 () (@var "BOUND_VARIABLE_11158" $$unsorted)) % 0.39/0.73 (define @t165 () (@var "BOUND_VARIABLE_11156" $$unsorted)) % 0.39/0.73 (define @t166 () (@list @t165 @t164 @t163)) % 0.39/0.73 (define @t167 () (forall @t166 @t137)) % 0.39/0.73 (define @t168 () (not (forall @t74 (or @t117 (not (tptp.memberP @t163 @t68)) (not (tptp.lt @t68 @t165)))))) % 0.39/0.73 (define @t169 () (not (tptp.ssList @t163))) % 0.39/0.73 (define @t170 () (not (forall @t81 (or @t119 (not (tptp.memberP @t164 @t76)) (not (tptp.lt @t165 @t76)))))) % 0.39/0.73 (define @t171 () (not (tptp.ssList @t164))) % 0.39/0.73 (define @t172 () (tptp.cons @t165 tptp.nil)) % 0.39/0.73 (define @t173 () (not (tptp.ssItem @t165))) % 0.39/0.73 (define @t174 () (or @t173 (not (= @t2 @t172)) @t171 @t170 @t169 (not (= @t1 (tptp.app (tptp.app @t164 @t2) @t163))) @t168)) % 0.39/0.73 (define @t175 () (forall @t166 @t174)) % 0.39/0.73 (define @t176 () (@list @t165 @t164 @t163)) % 0.39/0.73 (define @t177 () (and @t175 @t167)) % 0.39/0.73 (define @t178 () (and @t174 @t137)) % 0.39/0.73 (define @t179 () (forall @t166 @t178)) % 0.39/0.73 (define @t180 () (or @t123 @t179)) % 0.39/0.73 (define @t181 () (or @t123 @t178)) % 0.39/0.73 (define @t182 () (not (= @t2 @t2))) % 0.39/0.73 (define @t183 () (or @t123 @t182 @t178)) % 0.39/0.73 (define @t184 () (not (= @t12 tptp.nil))) % 0.39/0.73 (define @t185 () (or @t136 @t184)) % 0.39/0.73 (define @t186 () (or @t173 (not (= @t12 @t172)) @t171 @t170 @t169 (not (= @t1 (tptp.app (tptp.app @t164 @t12) @t163))) @t168)) % 0.39/0.73 (define @t187 () (and @t186 @t185)) % 0.39/0.73 (define @t188 () (not @t15)) % 0.39/0.73 (define @t189 () (or @t99 @t188 @t99 @t187)) % 0.39/0.73 (define @t190 () (or @t188 @t99 @t187)) % 0.39/0.73 (define @t191 () (forall @t16 @t190)) % 0.39/0.73 (define @t192 () (forall @t166 @t191)) % 0.39/0.73 (define @t193 () (forall (@list @t165 @t164 @t163 @t12) @t190)) % 0.39/0.73 (define @t194 () (forall (@list @t12 @t165 @t164 @t163) @t190)) % 0.39/0.73 (define @t195 () (forall @t166 @t190)) % 0.39/0.73 (define @t196 () (forall @t166 @t185)) % 0.39/0.73 (define @t197 () (forall @t166 @t186)) % 0.39/0.73 (define @t198 () (@var "BOUND_VARIABLE_11107" $$unsorted)) % 0.39/0.73 (define @t199 () (@var "BOUND_VARIABLE_11105" $$unsorted)) % 0.39/0.73 (define @t200 () (@var "BOUND_VARIABLE_11103" $$unsorted)) % 0.39/0.73 (define @t201 () (@list @t200 @t199 @t198)) % 0.39/0.73 (define @t202 () (and @t197 @t196)) % 0.39/0.73 (define @t203 () (forall @t166 @t187)) % 0.39/0.73 (define @t204 () (or @t188 @t99 @t203)) % 0.39/0.73 (define @t205 () (and (forall (@list @t200 @t199 @t198) (or (not (tptp.ssItem @t200)) (not (= @t12 (tptp.cons @t200 tptp.nil))) (not (tptp.ssList @t199)) (not (forall @t81 (or @t119 (not (tptp.memberP @t199 @t76)) (not (tptp.lt @t200 @t76))))) (not (tptp.ssList @t198)) (not (= @t1 (tptp.app (tptp.app @t199 @t12) @t198))) (not (forall @t74 (or @t117 (not (tptp.memberP @t198 @t68)) (not (tptp.lt @t68 @t200))))))) @t185)) % 0.39/0.73 (define @t206 () (or @t188 @t99 @t205)) % 0.39/0.73 (define @t207 () (forall @t16 @t206)) % 0.39/0.73 (define @t208 () (or @t37 @t140 @t207)) % 0.39/0.73 (define @t209 () (or @t37 @t140 @t206)) % 0.39/0.73 (define @t210 () (or @t188 @t99 @t37 @t140 @t205)) % 0.39/0.73 (define @t211 () (or @t99 @t37 @t140 @t205)) % 0.39/0.73 (define @t212 () (@var "BOUND_VARIABLE_11056" $$unsorted)) % 0.39/0.73 (define @t213 () (@var "BOUND_VARIABLE_11054" $$unsorted)) % 0.39/0.73 (define @t214 () (@var "BOUND_VARIABLE_11052" $$unsorted)) % 0.39/0.73 (define @t215 () (@list @t214 @t213 @t212)) % 0.39/0.73 (define @t216 () (forall @t215 @t185)) % 0.39/0.73 (define @t217 () (not (forall @t74 (or @t117 (not (tptp.memberP @t212 @t68)) (not (tptp.lt @t68 @t214)))))) % 0.39/0.73 (define @t218 () (tptp.app (tptp.app @t213 @t12) @t212)) % 0.39/0.73 (define @t219 () (not (tptp.ssList @t212))) % 0.39/0.73 (define @t220 () (not (forall @t81 (or @t119 (not (tptp.memberP @t213 @t76)) (not (tptp.lt @t214 @t76)))))) % 0.39/0.73 (define @t221 () (not (tptp.ssList @t213))) % 0.39/0.73 (define @t222 () (not (= @t12 (tptp.cons @t214 tptp.nil)))) % 0.39/0.73 (define @t223 () (not (tptp.ssItem @t214))) % 0.39/0.73 (define @t224 () (or @t223 @t222 @t221 @t220 @t219 (not (= @t1 @t218)) @t217)) % 0.39/0.73 (define @t225 () (forall @t215 @t224)) % 0.39/0.73 (define @t226 () (@list @t214 @t213 @t212)) % 0.39/0.73 (define @t227 () (and @t225 @t216)) % 0.39/0.73 (define @t228 () (and @t224 @t185)) % 0.39/0.73 (define @t229 () (forall @t215 @t228)) % 0.39/0.73 (define @t230 () (or @t140 @t229)) % 0.39/0.73 (define @t231 () (or @t140 @t228)) % 0.39/0.73 (define @t232 () (not (= @t1 @t1))) % 0.39/0.73 (define @t233 () (or @t140 @t232 @t228)) % 0.39/0.73 (define @t234 () (or (not (= @t10 tptp.nil)) @t184)) % 0.39/0.73 (define @t235 () (or @t223 @t222 @t221 @t220 @t219 (not (= @t10 @t218)) @t217)) % 0.39/0.73 (define @t236 () (and @t235 @t234)) % 0.39/0.73 (define @t237 () (not @t13)) % 0.39/0.73 (define @t238 () (or @t100 @t237 @t100 @t236)) % 0.39/0.73 (define @t239 () (or @t237 @t100 @t236)) % 0.39/0.73 (define @t240 () (forall @t14 @t239)) % 0.39/0.73 (define @t241 () (forall @t215 @t240)) % 0.39/0.73 (define @t242 () (forall (@list @t214 @t213 @t212 @t10) @t239)) % 0.39/0.73 (define @t243 () (forall (@list @t10 @t214 @t213 @t212) @t239)) % 0.39/0.73 (define @t244 () (forall @t215 @t239)) % 0.39/0.73 (define @t245 () (forall @t215 @t234)) % 0.39/0.73 (define @t246 () (forall @t215 @t235)) % 0.39/0.73 (define @t247 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 0.39/0.73 (define @t248 () (@var "BOUND_VARIABLE_11010" $$unsorted)) % 0.39/0.73 (define @t249 () (and @t246 @t245)) % 0.39/0.73 (define @t250 () (forall @t215 @t236)) % 0.39/0.73 (define @t251 () (or @t237 @t100 @t250)) % 0.39/0.73 (define @t252 () (not @t69)) % 0.39/0.73 (define @t253 () (not (forall @t74 (or @t117 (not (tptp.memberP @t247 @t68)) @t252)))) % 0.39/0.73 (define @t254 () (not (= @t10 (tptp.app (tptp.app @t248 @t12) @t247)))) % 0.39/0.73 (define @t255 () (not (tptp.ssList @t247))) % 0.39/0.73 (define @t256 () (not @t77)) % 0.39/0.73 (define @t257 () (not (forall @t81 (or @t119 (not (tptp.memberP @t248 @t76)) @t256)))) % 0.39/0.73 (define @t258 () (not (tptp.ssList @t248))) % 0.39/0.73 (define @t259 () (not (= @t12 @t86))) % 0.39/0.73 (define @t260 () (not @t95)) % 0.39/0.73 (define @t261 () (or @t260 @t259 @t258 @t257 @t255 @t254 @t253)) % 0.39/0.73 (define @t262 () (@list @t28 @t248 @t247)) % 0.39/0.73 (define @t263 () (and (forall @t262 @t261) @t234)) % 0.39/0.73 (define @t264 () (or @t237 @t100 @t263)) % 0.39/0.73 (define @t265 () (forall @t14 @t264)) % 0.39/0.73 (define @t266 () (or @t99 @t37 @t265)) % 0.39/0.73 (define @t267 () (or @t99 @t37 @t264)) % 0.39/0.73 (define @t268 () (or @t237 @t100 @t99 @t37 @t263)) % 0.39/0.73 (define @t269 () (or @t100 @t99 @t37 @t263)) % 0.39/0.73 (define @t270 () (or @t258 @t257 @t255 @t254 @t253)) % 0.39/0.73 (define @t271 () (or @t260 @t259 @t270)) % 0.39/0.73 (define @t272 () (forall @t262 @t271)) % 0.39/0.73 (define @t273 () (@list @t248 @t247)) % 0.39/0.73 (define @t274 () (forall @t273 @t271)) % 0.39/0.73 (define @t275 () (forall @t273 @t270)) % 0.39/0.73 (define @t276 () (@var "BOUND_VARIABLE_10986" $$unsorted)) % 0.39/0.73 (define @t277 () (or @t260 @t259 @t275)) % 0.39/0.73 (define @t278 () (not (forall @t74 (or @t117 (not (tptp.memberP @t276 @t68)) @t252)))) % 0.39/0.73 (define @t279 () (not (= @t10 (tptp.app @t83 @t276)))) % 0.39/0.73 (define @t280 () (not (tptp.ssList @t276))) % 0.39/0.73 (define @t281 () (not @t78)) % 0.39/0.73 (define @t282 () (or @t119 @t281 @t256)) % 0.39/0.73 (define @t283 () (not (forall @t81 @t282))) % 0.39/0.73 (define @t284 () (not @t30)) % 0.39/0.73 (define @t285 () (or @t284 @t283 @t280 @t279 @t278)) % 0.39/0.73 (define @t286 () (@list @t27 @t276)) % 0.39/0.73 (define @t287 () (forall @t286 @t285)) % 0.39/0.73 (define @t288 () (or @t260 @t259 @t287)) % 0.39/0.73 (define @t289 () (or @t259 @t287)) % 0.39/0.73 (define @t290 () (or @t280 @t279 @t278)) % 0.39/0.73 (define @t291 () (or @t284 @t283 @t290)) % 0.39/0.73 (define @t292 () (forall @t286 @t291)) % 0.39/0.73 (define @t293 () (@list @t276)) % 0.39/0.73 (define @t294 () (forall @t293 @t291)) % 0.39/0.73 (define @t295 () (forall @t293 @t290)) % 0.39/0.73 (define @t296 () (or @t284 @t283 @t295)) % 0.39/0.73 (define @t297 () (not @t71)) % 0.39/0.73 (define @t298 () (or @t117 @t297 @t252)) % 0.39/0.73 (define @t299 () (not (forall @t74 @t298))) % 0.39/0.73 (define @t300 () (not (= @t10 @t84))) % 0.39/0.73 (define @t301 () (not @t89)) % 0.39/0.73 (define @t302 () (or @t301 @t300 @t299)) % 0.39/0.73 (define @t303 () (forall @t91 @t302)) % 0.39/0.73 (define @t304 () (or @t284 @t283 @t303)) % 0.39/0.73 (define @t305 () (forall @t31 @t304)) % 0.39/0.73 (define @t306 () (or @t259 @t305)) % 0.39/0.73 (define @t307 () (or @t259 @t304)) % 0.39/0.73 (define @t308 () (or @t284 @t259 @t283 @t303)) % 0.39/0.73 (define @t309 () (or @t259 @t283 @t303)) % 0.39/0.73 (define @t310 () (or @t259 @t283 @t302)) % 0.39/0.73 (define @t311 () (or @t301 @t259 @t300 @t283 @t299)) % 0.39/0.73 (define @t312 () (or @t259 @t300 @t283 @t299)) % 0.39/0.73 (define @t313 () (forall @t74 (not @t73))) % 0.39/0.73 (define @t314 () (not @t313)) % 0.39/0.73 (define @t315 () (forall @t81 (not @t80))) % 0.39/0.73 (define @t316 () (not @t315)) % 0.39/0.73 (define @t317 () (forall @t127 (or @t123 @t37 @t122 (and @t120 (or (not (= tptp.nil @t112)) @t111))))) % 0.39/0.73 (define @t318 () (@quantifiers_skolemize @t317 0)) % 0.39/0.73 (define @t319 () (= tptp.nil @t318)) % 0.39/0.73 (define @t320 () (not @t319)) % 0.39/0.73 (define @t321 () (@quantifiers_skolemize @t317 1)) % 0.39/0.73 (define @t322 () (not (= tptp.nil @t321))) % 0.39/0.73 (define @t323 () (or @t322 @t320)) % 0.39/0.73 (define @t324 () (@quantifiers_skolemize @t317 2)) % 0.39/0.73 (define @t325 () (@quantifiers_skolemize @t317 4)) % 0.39/0.73 (define @t326 () (@quantifiers_skolemize @t317 3)) % 0.39/0.73 (define @t327 () (tptp.cons @t324 tptp.nil)) % 0.39/0.73 (define @t328 () (= @t318 @t327)) % 0.39/0.73 (define @t329 () (not @t328)) % 0.39/0.73 (define @t330 () (tptp.ssItem @t324)) % 0.39/0.73 (define @t331 () (not @t330)) % 0.39/0.73 (define @t332 () (or @t331 @t329 (not (tptp.ssList @t326)) (not (forall @t81 (or @t119 (not (tptp.memberP @t326 @t76)) (not (tptp.lt @t324 @t76))))) (not (tptp.ssList @t325)) (not (= @t321 (tptp.app (tptp.app @t326 @t318) @t325))) (not (forall @t74 (or @t117 (not (tptp.memberP @t325 @t68)) (not (tptp.lt @t68 @t324))))))) % 0.39/0.73 (define @t333 () (and @t332 @t323)) % 0.39/0.73 (define @t334 () (not (tptp.ssList @t321))) % 0.39/0.73 (define @t335 () (tptp.duplicatefreeP @t318)) % 0.39/0.73 (define @t336 () (not (tptp.ssList @t318))) % 0.39/0.73 (define @t337 () (or @t336 @t335 @t334 @t333)) % 0.39/0.73 (define @t338 () (not @t337)) % 0.39/0.73 (define @t339 () (not @t317)) % 0.39/0.73 (define @t340 () (not (= @t318 tptp.nil))) % 0.39/0.73 (define @t341 () (or @t322 @t340)) % 0.39/0.73 (define @t342 () (and @t332 @t341)) % 0.39/0.73 (define @t343 () (or @t336 @t335 @t334 @t342)) % 0.39/0.73 (define @t344 () (not @t343)) % 0.39/0.73 (define @t345 () (@list true)) % 0.39/0.73 (define @t346 () (not @t335)) % 0.39/0.73 (define @t347 () (@list @t337)) % 0.39/0.73 (define @t348 () (not @t63)) % 0.39/0.73 (define @t349 () (not @t346)) % 0.39/0.73 (define @t350 () (= false true)) % 0.39/0.73 (define @t351 () (@list @t332)) % 0.39/0.73 (define @t352 () (tptp.duplicatefreeP @t327)) % 0.39/0.73 (define @t353 () (or @t331 @t352)) % 0.39/0.73 (define @t354 () (not @t352)) % 0.39/0.73 (define @t355 () (and @t352 @t328 @t346)) % 0.39/0.73 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.39/0.73 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.39/0.73 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.39/0.73 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.39/0.73 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.39/0.73 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.39/0.73 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.39/0.73 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.39/0.73 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.39/0.73 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.39/0.73 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.39/0.73 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.39/0.73 (assume @p13 (forall @t9 (=> @t17 (= @t37 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.39/0.73 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.39/0.73 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.39/0.73 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 0.39/0.73 (assume @p17 (tptp.ssList tptp.nil)) % 0.39/0.73 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 0.39/0.73 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t39))))))))))) % 0.39/0.73 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.39/0.73 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 0.39/0.73 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.39/0.73 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 0.39/0.73 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.39/0.73 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 0.39/0.73 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.39/0.73 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.39/0.73 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.39/0.73 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.39/0.73 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.39/0.73 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.39/0.73 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.39/0.73 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.39/0.73 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.39/0.73 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.39/0.73 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.39/0.73 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))))))))) % 0.39/0.73 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.39/0.73 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.39/0.73 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.39/0.73 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.39/0.73 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.39/0.73 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.39/0.73 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 0.39/0.73 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.39/0.73 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.39/0.73 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.39/0.73 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.39/0.73 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.39/0.73 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t55 @t1))))))))) % 0.39/0.73 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.39/0.73 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.39/0.73 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 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(=> @t17 (forall @t7 (=> @t21 (=> (and @t59 @t43 (= @t57 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 0.39/0.73 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 0.39/0.73 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t64)))))))) % 0.39/0.73 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t46) @t64)))))))) % 0.39/0.73 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2))))))) % 0.39/0.73 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 0.39/0.73 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t58 @t41))))))) % 0.39/0.73 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.39/0.73 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 0.39/0.73 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 0.39/0.73 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 (tptp.geq @t1 @t2)) @t3)))))) % 0.39/0.73 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.39/0.73 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.39/0.73 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.39/0.73 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t35) @t52)))))))) % 0.39/0.73 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t48 (or @t3 @t51))))))) % 0.39/0.73 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t51 (and @t4 @t48))))))) % 0.39/0.73 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t53 (not (tptp.gt @t1 @t2)))))))) % 0.39/0.73 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.39/0.73 (assume @p96 @t110) % 0.39/0.73 (assume @p97 true) % 0.39/0.73 (step @p98 :rule refl :args (@t111)) % 0.39/0.73 (step @p99 :rule eq-symm :args (@t112 tptp.nil)) % 0.39/0.73 (step @p100 :rule cong :premises (@p99) :args (@t113)) % 0.39/0.73 (step @p101 :rule nary_cong :premises (@p100 @p98) :args (@t114)) % 0.39/0.73 (step @p102 :rule refl :args (@t120)) % 0.39/0.73 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t121)) % 0.39/0.73 (step @p104 :rule refl :args (@t122)) % 0.39/0.73 (step @p105 :rule refl :args (@t37)) % 0.39/0.73 (step @p106 :rule refl :args (@t123)) % 0.39/0.73 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103) :args (@t124)) % 0.39/0.73 (step @p108 :rule aci_norm :args ((= @t126 @t124))) % 0.39/0.73 (step @p109 :rule trans :premises (@p108 @p107)) % 0.39/0.73 (step @p110 :rule cong :premises (@p109) :args (@t128)) % 0.39/0.73 (step @p111 :rule quant-merge-prenex :args ((= (forall @t9 @t130) @t128))) % 0.39/0.73 (step @p112 :rule alpha_equiv :args (@t131 (@list @t112 @t115 @t118 @t116) (@list @t1 @t134 @t133 @t132))) % 0.39/0.73 (step @p113 :rule refl :args (@t37)) % 0.39/0.73 (step @p114 :rule refl :args (@t123)) % 0.39/0.73 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args (@t135)) % 0.39/0.73 (step @p116 :rule quant-miniscope-or :args ((= @t130 @t135))) % 0.39/0.73 (step @p117 :rule trans :premises (@p116 @p115)) % 0.39/0.73 (step @p118 :rule symm :premises (@p117)) % 0.39/0.73 (step @p119 :rule cong :premises (@p118) :args ((forall @t9 @t143))) % 0.39/0.73 (step @p120 :rule trans :premises (@p119 @p111)) % 0.39/0.73 (step @p121 :rule trans :premises (@p120 @p110)) % 0.39/0.73 (step @p122 :rule aci_norm :args ((= (or @t123 @t144) @t143))) % 0.39/0.73 (step @p123 :rule bool-impl-elim :args (@t17 @t144)) % 0.39/0.73 (step @p124 :rule trans :premises (@p123 @p122)) % 0.39/0.73 (step @p125 :rule cong :premises (@p124) :args ((forall @t9 (=> @t17 @t144)))) % 0.39/0.73 (step @p126 :rule trans :premises (@p125 @p121)) % 0.39/0.73 (step @p127 :rule quant-merge-prenex :args ((= (forall @t7 @t146) @t142))) % 0.39/0.73 (step @p128 :rule quant-unused-vars :args ((= @t147 @t137))) % 0.39/0.73 (step @p129 :rule alpha_equiv :args (@t148 (@list @t134 @t133 @t132) @t152)) % 0.39/0.73 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t153)) % 0.39/0.73 (step @p131 :rule quant-miniscope-and :args ((= @t154 @t153))) % 0.39/0.73 (step @p132 :rule trans :premises (@p131 @p130)) % 0.39/0.73 (step @p133 :rule refl :args (@t140)) % 0.39/0.73 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t155)) % 0.39/0.73 (step @p135 :rule quant-miniscope-or :args ((= @t146 @t155))) % 0.39/0.73 (step @p136 :rule trans :premises (@p135 @p134)) % 0.39/0.73 (step @p137 :rule symm :premises (@p136)) % 0.39/0.73 (step @p138 :rule cong :premises (@p137) :args (@t158)) % 0.39/0.73 (step @p139 :rule trans :premises (@p138 @p127)) % 0.39/0.73 (step 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0.39/0.74 (step @p459 :rule eq_resolve :premises (@p71 @p458)) % 0.39/0.74 (step @p460 :rule instantiate :premises (@p459) :args ((@list @t324))) % 0.39/0.74 (step @p461 :rule bool-double-not-elim :args (@t330)) % 0.39/0.74 (step @p462 :rule nary_cong :premises (@p398 @p461) :args ((or @t332 (not @t331)))) % 0.39/0.74 (step @p463 :rule cnf_or_neg :args (@t332 0)) % 0.39/0.74 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 0.39/0.74 (step @p465 :rule reordering :premises (@p464) :args ((or @t330 @t332))) % 0.39/0.74 (step @p466 :rule chain_m_resolution :premises (@p465 @p450) :args (@t330 @t345 @t351)) % 0.39/0.74 (step @p467 :rule cnf_or_pos :args (@t353)) % 0.39/0.74 (step @p468 :rule reordering :premises (@p467) :args ((or @t331 @t352 (not @t353)))) % 0.39/0.74 (step @p469 :rule chain_m_resolution :premises (@p468 @p466 @p460) :args (@t352 (@list false false) (@list @t330 @t353))) % 0.39/0.74 (step @p470 :rule refl :args (@t354)) % 0.39/0.74 (step @p471 :rule refl :args (@t329)) % 0.39/0.74 (step @p472 :rule nary_cong :premises (@p471 @p417 @p470) :args ((or @t329 @t349 @t354))) % 0.39/0.74 (assume-push @p506 @t352) % 0.39/0.74 (assume-push @p507 @t328) % 0.39/0.74 (assume-push @p508 @t346) % 0.39/0.74 (step @p424 :rule evaluate :args (@t350)) % 0.39/0.74 (step @p476 :rule true_intro :premises (@p506)) % 0.39/0.74 (step @p477 :rule cong :premises (@p507) :args (@t335)) % 0.39/0.74 (step @p428 :rule false_intro :premises (@p416)) % 0.39/0.74 (step @p429 :rule symm :premises (@p428)) % 0.39/0.74 (step @p478 :rule trans :premises (@p429 @p477 @p476)) % 0.39/0.74 (step @p479 false :rule eq_resolve :premises (@p478 @p424)) % 0.39/0.74 (step-pop @p509 :rule scope :premises (@p479)) % 0.39/0.74 (step-pop @p510 :rule scope :premises (@p509)) % 0.39/0.74 (step-pop @p511 :rule scope :premises (@p510)) % 0.39/0.74 (step @p480 :rule process_scope :premises (@p511) :args (false)) % 0.39/0.74 (assume-push @p512 @t328) % 0.39/0.74 (assume-push @p513 @t346) % 0.39/0.74 (assume-push @p514 @t352) % 0.39/0.74 (step @p487 :rule and_intro :premises (@p514 @p512 @p416)) % 0.39/0.74 (step-pop @p515 :rule scope :premises (@p487)) % 0.39/0.74 (step-pop @p516 :rule scope :premises (@p515)) % 0.39/0.74 (step-pop @p517 :rule scope :premises (@p516)) % 0.39/0.74 (step @p488 :rule process_scope :premises (@p517) :args (@t355)) % 0.39/0.74 (step @p492 :rule implies_elim :premises (@p488)) % 0.39/0.74 (step @p493 :rule resolution :premises (@p492 @p480) :args (true @t355)) % 0.39/0.74 (step @p494 :rule not_and :premises (@p493)) % 0.39/0.74 (step @p495 :rule eq_resolve :premises (@p494 @p472)) % 0.39/0.74 (step @p496 :rule reordering :premises (@p495) :args ((or @t335 @t329 @t354))) % 0.39/0.74 (step @p497 false :rule chain_m_resolution :premises (@p496 @p469 @p456 @p416) :args (false (@list false false true) (@list @t352 @t328 @t335))) % 0.39/0.74 ) % 0.39/0.74 % SZS output end Proof % 0.39/0.74 % cvc5 exiting %------------------------------------------------------------------------------