%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC029+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:46 AM UTC 2026 % Result : Theorem 0.52s 0.72s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC029+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 19:10:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.72 % SZS status Theorem % 0.52/0.72 % SZS output start Proof % 0.52/0.72 ( % 0.52/0.72 (declare-sort $$unsorted 0) % 0.52/0.72 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.nil $$unsorted) % 0.52/0.72 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (define @t1 () (@var "V" $$unsorted)) % 0.52/0.72 (define @t2 () (@var "U" $$unsorted)) % 0.52/0.72 (define @t3 () (= @t2 @t1)) % 0.52/0.72 (define @t4 () (not @t3)) % 0.52/0.72 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.52/0.72 (define @t6 () (tptp.ssItem @t1)) % 0.52/0.72 (define @t7 () (@list @t1)) % 0.52/0.72 (define @t8 () (tptp.ssItem @t2)) % 0.52/0.72 (define @t9 () (@list @t2)) % 0.52/0.72 (define @t10 () (@var "X" $$unsorted)) % 0.52/0.72 (define @t11 () (tptp.cons @t1 @t10)) % 0.52/0.72 (define @t12 () (@var "W" $$unsorted)) % 0.52/0.72 (define @t13 () (tptp.ssList @t10)) % 0.52/0.72 (define @t14 () (@list @t10)) % 0.52/0.72 (define @t15 () (tptp.ssList @t12)) % 0.52/0.72 (define @t16 () (@list @t12)) % 0.52/0.72 (define @t17 () (tptp.ssList @t2)) % 0.52/0.72 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.52/0.72 (define @t19 () (tptp.app @t1 @t12)) % 0.52/0.72 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.52/0.72 (define @t21 () (tptp.ssList @t1)) % 0.52/0.72 (define @t22 () (tptp.app @t12 @t1)) % 0.52/0.72 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.52/0.72 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.52/0.72 (define @t25 () (tptp.leq @t12 @t1)) % 0.52/0.72 (define @t26 () (tptp.leq @t1 @t12)) % 0.52/0.72 (define @t27 () (@var "Z" $$unsorted)) % 0.52/0.72 (define @t28 () (@var "Y" $$unsorted)) % 0.52/0.72 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.52/0.72 (define @t30 () (tptp.ssList @t27)) % 0.52/0.72 (define @t31 () (@list @t27)) % 0.52/0.72 (define @t32 () (tptp.ssList @t28)) % 0.52/0.72 (define @t33 () (@list @t28)) % 0.52/0.72 (define @t34 () (tptp.ssItem @t12)) % 0.52/0.72 (define @t35 () (tptp.lt @t1 @t12)) % 0.52/0.72 (define @t36 () (= @t1 @t12)) % 0.52/0.72 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.52/0.72 (define @t38 () (=> @t17 @t37)) % 0.52/0.72 (define @t39 () (forall @t9 @t38)) % 0.52/0.72 (define @t40 () (tptp.cons @t1 @t2)) % 0.52/0.72 (define @t41 () (tptp.ssList @t40)) % 0.52/0.72 (define @t42 () (forall @t7 (=> @t6 @t41))) % 0.52/0.72 (define @t43 () (=> @t17 @t42)) % 0.52/0.72 (define @t44 () (forall @t9 @t43)) % 0.52/0.72 (define @t45 () (tptp.ssList tptp.nil)) % 0.52/0.72 (define @t46 () (not (= @t40 @t2))) % 0.52/0.72 (define @t47 () (=> @t6 @t46)) % 0.52/0.72 (define @t48 () (forall @t7 @t47)) % 0.52/0.72 (define @t49 () (=> @t17 @t48)) % 0.52/0.72 (define @t50 () (forall @t9 @t49)) % 0.52/0.72 (define @t51 () (= @t1 @t2)) % 0.52/0.72 (define @t52 () (tptp.cons @t12 @t1)) % 0.52/0.72 (define @t53 () (= tptp.nil @t2)) % 0.52/0.72 (define @t54 () (tptp.hd @t2)) % 0.52/0.72 (define @t55 () (not @t53)) % 0.52/0.72 (define @t56 () (tptp.tl @t2)) % 0.52/0.72 (define @t57 () (tptp.app @t2 @t1)) % 0.52/0.72 (define @t58 () (tptp.app @t1 @t2)) % 0.52/0.72 (define @t59 () (tptp.leq @t1 @t2)) % 0.52/0.72 (define @t60 () (tptp.leq @t2 @t1)) % 0.52/0.72 (define @t61 () (tptp.geq @t2 @t1)) % 0.52/0.72 (define @t62 () (tptp.lt @t1 @t2)) % 0.52/0.72 (define @t63 () (tptp.lt @t2 @t1)) % 0.52/0.72 (define @t64 () (tptp.lt @t2 @t12)) % 0.52/0.72 (define @t65 () (tptp.gt @t2 @t1)) % 0.52/0.72 (define @t66 () (tptp.memberP @t12 @t2)) % 0.52/0.72 (define @t67 () (tptp.app @t12 @t2)) % 0.52/0.72 (define @t68 () (tptp.cons @t2 tptp.nil)) % 0.52/0.72 (define @t69 () (tptp.hd @t1)) % 0.52/0.72 (define @t70 () (= tptp.nil @t1)) % 0.52/0.72 (define @t71 () (not @t70)) % 0.52/0.72 (define @t72 () (tptp.cons @t2 @t1)) % 0.52/0.72 (define @t73 () (= @t12 @t2)) % 0.52/0.72 (define @t74 () (and @t70 @t53)) % 0.52/0.72 (define @t75 () (= tptp.nil @t57)) % 0.52/0.72 (define @t76 () (= @t75 @t74)) % 0.52/0.72 (define @t77 () (=> @t21 @t76)) % 0.52/0.72 (define @t78 () (forall @t7 @t77)) % 0.52/0.72 (define @t79 () (=> @t17 @t78)) % 0.52/0.72 (define @t80 () (forall @t9 @t79)) % 0.52/0.72 (define @t81 () (or @t55 @t70)) % 0.52/0.72 (define @t82 () (or @t71 @t53)) % 0.52/0.72 (define @t83 () (and @t82 @t81)) % 0.52/0.72 (define @t84 () (tptp.neq @t10 tptp.nil)) % 0.52/0.72 (define @t85 () (tptp.cons @t28 tptp.nil)) % 0.52/0.72 (define @t86 () (tptp.app @t27 @t85)) % 0.52/0.72 (define @t87 () (not (= @t86 @t12))) % 0.52/0.72 (define @t88 () (tptp.app @t85 @t27)) % 0.52/0.72 (define @t89 () (not (= @t88 @t10))) % 0.52/0.72 (define @t90 () (or @t89 @t87)) % 0.52/0.72 (define @t91 () (=> @t30 @t90)) % 0.52/0.72 (define @t92 () (forall @t31 @t91)) % 0.52/0.72 (define @t93 () (tptp.ssItem @t28)) % 0.52/0.72 (define @t94 () (=> @t93 @t92)) % 0.52/0.72 (define @t95 () (forall @t33 @t94)) % 0.52/0.72 (define @t96 () (and @t95 @t84)) % 0.52/0.72 (define @t97 () (not (= tptp.nil @t12))) % 0.52/0.72 (define @t98 () (and @t97 (= tptp.nil @t10))) % 0.52/0.72 (define @t99 () (not (= @t2 @t12))) % 0.52/0.72 (define @t100 () (not (= @t1 @t10))) % 0.52/0.72 (define @t101 () (or @t100 @t99 @t98 @t96 @t83)) % 0.52/0.72 (define @t102 () (=> @t13 @t101)) % 0.52/0.72 (define @t103 () (forall @t14 @t102)) % 0.52/0.72 (define @t104 () (=> @t15 @t103)) % 0.52/0.72 (define @t105 () (forall @t16 @t104)) % 0.52/0.72 (define @t106 () (=> @t21 @t105)) % 0.52/0.72 (define @t107 () (forall @t7 @t106)) % 0.52/0.72 (define @t108 () (=> @t17 @t107)) % 0.52/0.72 (define @t109 () (forall @t9 @t108)) % 0.52/0.72 (define @t110 () (not @t109)) % 0.52/0.72 (define @t111 () (@var "BOUND_VARIABLE_11137" $$unsorted)) % 0.52/0.72 (define @t112 () (@var "BOUND_VARIABLE_11139" $$unsorted)) % 0.52/0.72 (define @t113 () (tptp.cons @t112 tptp.nil)) % 0.52/0.72 (define @t114 () (@var "BOUND_VARIABLE_11141" $$unsorted)) % 0.52/0.72 (define @t115 () (and (or (not (tptp.ssItem @t112)) (not (tptp.ssList @t114)) (not (= @t111 (tptp.app @t113 @t114))) (not (= @t2 (tptp.app @t114 @t113)))) (tptp.neq @t111 tptp.nil))) % 0.52/0.72 (define @t116 () (= @t2 tptp.nil)) % 0.52/0.72 (define @t117 () (not @t116)) % 0.52/0.72 (define @t118 () (= @t111 tptp.nil)) % 0.52/0.72 (define @t119 () (and @t117 @t118)) % 0.52/0.72 (define @t120 () (or @t117 @t118)) % 0.52/0.72 (define @t121 () (not @t118)) % 0.52/0.72 (define @t122 () (or @t121 @t116)) % 0.52/0.72 (define @t123 () (and @t122 @t120)) % 0.52/0.72 (define @t124 () (not (tptp.ssList @t111))) % 0.52/0.72 (define @t125 () (not @t17)) % 0.52/0.72 (define @t126 () (or @t125 @t124 @t123 @t119 @t115)) % 0.52/0.72 (define @t127 () (or @t124 @t123 @t119 @t115)) % 0.52/0.72 (define @t128 () (or @t125 @t127)) % 0.52/0.72 (define @t129 () (@list @t2 @t111 @t112 @t114)) % 0.52/0.72 (define @t130 () (forall @t129 @t128)) % 0.52/0.72 (define @t131 () (@list @t111 @t112 @t114)) % 0.52/0.72 (define @t132 () (forall @t131 @t128)) % 0.52/0.72 (define @t133 () (forall @t131 @t127)) % 0.52/0.72 (define @t134 () (@var "BOUND_VARIABLE_11115" $$unsorted)) % 0.52/0.72 (define @t135 () (@var "BOUND_VARIABLE_11113" $$unsorted)) % 0.52/0.72 (define @t136 () (or @t125 @t133)) % 0.52/0.72 (define @t137 () (tptp.neq @t1 tptp.nil)) % 0.52/0.72 (define @t138 () (tptp.cons @t135 tptp.nil)) % 0.52/0.72 (define @t139 () (or (not (tptp.ssItem @t135)) (not (tptp.ssList @t134)) (not (= @t1 (tptp.app @t138 @t134))) (not (= @t2 (tptp.app @t134 @t138))))) % 0.52/0.72 (define @t140 () (and @t139 @t137)) % 0.52/0.72 (define @t141 () (= @t1 tptp.nil)) % 0.52/0.72 (define @t142 () (and @t117 @t141)) % 0.52/0.72 (define @t143 () (and (or (not @t141) @t116) (or @t117 @t141))) % 0.52/0.72 (define @t144 () (not @t21)) % 0.52/0.72 (define @t145 () (or @t144 @t143 @t142 @t140)) % 0.52/0.73 (define @t146 () (forall (@list @t1 @t135 @t134) @t145)) % 0.52/0.73 (define @t147 () (or @t125 @t146)) % 0.52/0.73 (define @t148 () (@list @t135 @t134)) % 0.52/0.73 (define @t149 () (forall @t148 @t145)) % 0.52/0.73 (define @t150 () (forall @t148 @t137)) % 0.52/0.73 (define @t151 () (forall @t148 @t139)) % 0.52/0.73 (define @t152 () (@var "BOUND_VARIABLE_11082" $$unsorted)) % 0.52/0.73 (define @t153 () (@var "BOUND_VARIABLE_11080" $$unsorted)) % 0.52/0.73 (define @t154 () (@list @t153 @t152)) % 0.52/0.73 (define @t155 () (and @t151 @t150)) % 0.52/0.73 (define @t156 () (forall @t148 @t140)) % 0.52/0.73 (define @t157 () (or @t144 @t143 @t142 @t156)) % 0.52/0.73 (define @t158 () (tptp.cons @t153 tptp.nil)) % 0.52/0.73 (define @t159 () (and (forall (@list @t153 @t152) (or (not (tptp.ssItem @t153)) (not (tptp.ssList @t152)) (not (= @t1 (tptp.app @t158 @t152))) (not (= @t2 (tptp.app @t152 @t158))))) @t137)) % 0.52/0.73 (define @t160 () (or @t144 @t143 @t142 @t159)) % 0.52/0.73 (define @t161 () (forall @t7 @t160)) % 0.52/0.73 (define @t162 () (or @t125 @t161)) % 0.52/0.73 (define @t163 () (or @t125 @t160)) % 0.52/0.73 (define @t164 () (or @t144 @t143 @t125 @t142 @t159)) % 0.52/0.73 (define @t165 () (or @t143 @t144 @t125 @t142 @t159)) % 0.52/0.73 (define @t166 () (@var "BOUND_VARIABLE_11047" $$unsorted)) % 0.52/0.73 (define @t167 () (@var "BOUND_VARIABLE_11045" $$unsorted)) % 0.52/0.73 (define @t168 () (@list @t167 @t166)) % 0.52/0.73 (define @t169 () (forall @t168 @t137)) % 0.52/0.73 (define @t170 () (tptp.cons @t167 tptp.nil)) % 0.52/0.73 (define @t171 () (tptp.app @t166 @t170)) % 0.52/0.73 (define @t172 () (not (= @t1 (tptp.app @t170 @t166)))) % 0.52/0.73 (define @t173 () (not (tptp.ssList @t166))) % 0.52/0.73 (define @t174 () (not (tptp.ssItem @t167))) % 0.52/0.73 (define @t175 () (or @t174 @t173 @t172 (not (= @t2 @t171)))) % 0.52/0.73 (define @t176 () (forall @t168 @t175)) % 0.52/0.73 (define @t177 () (@list @t167 @t166)) % 0.52/0.73 (define @t178 () (and @t176 @t169)) % 0.52/0.73 (define @t179 () (and @t175 @t137)) % 0.52/0.73 (define @t180 () (forall @t168 @t179)) % 0.52/0.73 (define @t181 () (or @t125 @t142 @t180)) % 0.52/0.73 (define @t182 () (or @t125 @t142 @t179)) % 0.52/0.73 (define @t183 () (not (= @t2 @t2))) % 0.52/0.73 (define @t184 () (or @t125 @t183 @t142 @t179)) % 0.52/0.73 (define @t185 () (or @t174 @t173 @t172 (not (= @t12 @t171)))) % 0.52/0.73 (define @t186 () (and @t185 @t137)) % 0.52/0.73 (define @t187 () (not (= @t12 tptp.nil))) % 0.52/0.73 (define @t188 () (and @t187 @t141)) % 0.52/0.73 (define @t189 () (not @t15)) % 0.52/0.73 (define @t190 () (or @t99 @t189 @t99 @t188 @t186)) % 0.52/0.73 (define @t191 () (or @t189 @t99 @t188 @t186)) % 0.52/0.73 (define @t192 () (forall @t16 @t191)) % 0.52/0.73 (define @t193 () (forall @t168 @t192)) % 0.52/0.73 (define @t194 () (forall (@list @t167 @t166 @t12) @t191)) % 0.52/0.73 (define @t195 () (forall (@list @t12 @t167 @t166) @t191)) % 0.52/0.73 (define @t196 () (forall @t168 @t191)) % 0.52/0.73 (define @t197 () (forall @t168 @t185)) % 0.52/0.73 (define @t198 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 0.52/0.73 (define @t199 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 0.52/0.73 (define @t200 () (@list @t199 @t198)) % 0.52/0.73 (define @t201 () (and @t197 @t169)) % 0.52/0.73 (define @t202 () (forall @t168 @t186)) % 0.52/0.73 (define @t203 () (or @t189 @t99 @t188 @t202)) % 0.52/0.73 (define @t204 () (tptp.cons @t199 tptp.nil)) % 0.52/0.73 (define @t205 () (and (forall (@list @t199 @t198) (or (not (tptp.ssItem @t199)) (not (tptp.ssList @t198)) (not (= @t1 (tptp.app @t204 @t198))) (not (= @t12 (tptp.app @t198 @t204))))) @t137)) % 0.52/0.73 (define @t206 () (or @t189 @t99 @t188 @t205)) % 0.52/0.73 (define @t207 () (forall @t16 @t206)) % 0.52/0.73 (define @t208 () (or @t143 @t144 @t207)) % 0.52/0.73 (define @t209 () (or @t143 @t144 @t206)) % 0.52/0.73 (define @t210 () (or @t189 @t99 @t143 @t144 @t188 @t205)) % 0.52/0.73 (define @t211 () (or @t99 @t143 @t144 @t188 @t205)) % 0.52/0.73 (define @t212 () (@var "BOUND_VARIABLE_10980" $$unsorted)) % 0.52/0.73 (define @t213 () (@var "BOUND_VARIABLE_10978" $$unsorted)) % 0.52/0.73 (define @t214 () (@list @t213 @t212)) % 0.52/0.73 (define @t215 () (forall @t214 @t137)) % 0.52/0.73 (define @t216 () (tptp.cons @t213 tptp.nil)) % 0.52/0.73 (define @t217 () (not (= @t12 (tptp.app @t212 @t216)))) % 0.52/0.73 (define @t218 () (tptp.app @t216 @t212)) % 0.52/0.73 (define @t219 () (not (tptp.ssList @t212))) % 0.52/0.73 (define @t220 () (not (tptp.ssItem @t213))) % 0.52/0.73 (define @t221 () (or @t220 @t219 (not (= @t1 @t218)) @t217)) % 0.52/0.73 (define @t222 () (forall @t214 @t221)) % 0.52/0.73 (define @t223 () (@list @t213 @t212)) % 0.52/0.73 (define @t224 () (and @t222 @t215)) % 0.52/0.73 (define @t225 () (and @t221 @t137)) % 0.52/0.73 (define @t226 () (forall @t214 @t225)) % 0.52/0.73 (define @t227 () (or @t144 @t188 @t226)) % 0.52/0.73 (define @t228 () (or @t144 @t188 @t225)) % 0.52/0.73 (define @t229 () (not (= @t1 @t1))) % 0.52/0.73 (define @t230 () (or @t144 @t229 @t188 @t225)) % 0.52/0.73 (define @t231 () (or @t220 @t219 (not (= @t10 @t218)) @t217)) % 0.52/0.73 (define @t232 () (and @t231 @t84)) % 0.52/0.73 (define @t233 () (and @t187 (= @t10 tptp.nil))) % 0.52/0.73 (define @t234 () (not @t13)) % 0.52/0.73 (define @t235 () (or @t100 @t234 @t100 @t233 @t232)) % 0.52/0.73 (define @t236 () (or @t234 @t100 @t233 @t232)) % 0.52/0.73 (define @t237 () (forall @t14 @t236)) % 0.52/0.73 (define @t238 () (forall @t214 @t237)) % 0.52/0.73 (define @t239 () (forall (@list @t213 @t212 @t10) @t236)) % 0.52/0.73 (define @t240 () (forall (@list @t10 @t213 @t212) @t236)) % 0.52/0.73 (define @t241 () (forall @t214 @t236)) % 0.52/0.73 (define @t242 () (forall @t214 @t84)) % 0.52/0.73 (define @t243 () (forall @t214 @t231)) % 0.52/0.73 (define @t244 () (@var "BOUND_VARIABLE_10950" $$unsorted)) % 0.52/0.73 (define @t245 () (and @t243 @t242)) % 0.52/0.73 (define @t246 () (forall @t214 @t232)) % 0.52/0.73 (define @t247 () (or @t234 @t100 @t233 @t246)) % 0.52/0.73 (define @t248 () (not (= @t12 (tptp.app @t244 @t85)))) % 0.52/0.73 (define @t249 () (not (= @t10 (tptp.app @t85 @t244)))) % 0.52/0.73 (define @t250 () (not (tptp.ssList @t244))) % 0.52/0.73 (define @t251 () (not @t93)) % 0.52/0.73 (define @t252 () (or @t251 @t250 @t249 @t248)) % 0.52/0.73 (define @t253 () (@list @t28 @t244)) % 0.52/0.73 (define @t254 () (and (forall @t253 @t252) @t84)) % 0.52/0.73 (define @t255 () (or @t234 @t100 @t233 @t254)) % 0.52/0.73 (define @t256 () (forall @t14 @t255)) % 0.52/0.73 (define @t257 () (or @t99 @t143 @t256)) % 0.52/0.73 (define @t258 () (or @t99 @t143 @t255)) % 0.52/0.73 (define @t259 () (or @t234 @t100 @t99 @t233 @t254 @t143)) % 0.52/0.73 (define @t260 () (or @t100 @t99 @t233 @t254 @t143)) % 0.52/0.73 (define @t261 () (or @t250 @t249 @t248)) % 0.52/0.73 (define @t262 () (or @t251 @t261)) % 0.52/0.73 (define @t263 () (forall @t253 @t262)) % 0.52/0.73 (define @t264 () (@list @t244)) % 0.52/0.73 (define @t265 () (forall @t264 @t262)) % 0.52/0.73 (define @t266 () (forall @t264 @t261)) % 0.52/0.73 (define @t267 () (or @t251 @t266)) % 0.52/0.73 (define @t268 () (not (= @t12 @t86))) % 0.52/0.73 (define @t269 () (not (= @t10 @t88))) % 0.52/0.73 (define @t270 () (not @t30)) % 0.52/0.73 (define @t271 () (or @t270 @t269 @t268)) % 0.52/0.73 (define @t272 () (forall @t31 @t271)) % 0.52/0.73 (define @t273 () (or @t269 @t268)) % 0.52/0.73 (define @t274 () (= tptp.nil @t111)) % 0.52/0.73 (define @t275 () (forall @t129 (or @t125 @t124 (and (or (not @t274) @t116) (or @t117 @t274)) (and @t117 @t274) @t115))) % 0.52/0.73 (define @t276 () (@quantifiers_skolemize @t275 1)) % 0.52/0.73 (define @t277 () (tptp.neq @t276 tptp.nil)) % 0.52/0.73 (define @t278 () (@quantifiers_skolemize @t275 2)) % 0.52/0.73 (define @t279 () (tptp.cons @t278 tptp.nil)) % 0.52/0.73 (define @t280 () (@quantifiers_skolemize @t275 3)) % 0.52/0.73 (define @t281 () (tptp.app @t280 @t279)) % 0.52/0.73 (define @t282 () (@quantifiers_skolemize @t275 0)) % 0.52/0.73 (define @t283 () (= @t282 @t281)) % 0.52/0.73 (define @t284 () (not @t283)) % 0.52/0.73 (define @t285 () (tptp.ssList @t280)) % 0.52/0.73 (define @t286 () (not @t285)) % 0.52/0.73 (define @t287 () (tptp.ssItem @t278)) % 0.52/0.73 (define @t288 () (not @t287)) % 0.52/0.73 (define @t289 () (or @t288 @t286 (not (= @t276 (tptp.app @t279 @t280))) @t284)) % 0.52/0.73 (define @t290 () (and @t289 @t277)) % 0.52/0.73 (define @t291 () (= tptp.nil @t276)) % 0.52/0.73 (define @t292 () (= tptp.nil @t282)) % 0.52/0.73 (define @t293 () (not @t292)) % 0.52/0.73 (define @t294 () (and @t293 @t291)) % 0.52/0.73 (define @t295 () (or @t293 @t291)) % 0.52/0.73 (define @t296 () (not @t291)) % 0.52/0.73 (define @t297 () (or @t296 @t292)) % 0.52/0.73 (define @t298 () (and @t297 @t295)) % 0.52/0.73 (define @t299 () (tptp.ssList @t276)) % 0.52/0.73 (define @t300 () (not @t299)) % 0.52/0.73 (define @t301 () (not (tptp.ssList @t282))) % 0.52/0.73 (define @t302 () (or @t301 @t300 @t298 @t294 @t290)) % 0.52/0.73 (define @t303 () (not @t302)) % 0.52/0.73 (define @t304 () (not @t275)) % 0.52/0.73 (define @t305 () (= @t282 tptp.nil)) % 0.52/0.73 (define @t306 () (not @t305)) % 0.52/0.73 (define @t307 () (and @t306 @t291)) % 0.52/0.73 (define @t308 () (or @t306 @t291)) % 0.52/0.73 (define @t309 () (or @t296 @t305)) % 0.52/0.73 (define @t310 () (and @t309 @t308)) % 0.52/0.73 (define @t311 () (or @t301 @t300 @t310 @t307 @t290)) % 0.52/0.73 (define @t312 () (not @t311)) % 0.52/0.73 (define @t313 () (@list true)) % 0.52/0.73 (define @t314 () (@list @t302)) % 0.52/0.73 (define @t315 () (not @t296)) % 0.52/0.73 (define @t316 () (@var "BOUND_VARIABLE_9109" $$unsorted)) % 0.52/0.73 (define @t317 () (= (tptp.neq @t2 @t316) (not (= @t2 @t316)))) % 0.52/0.73 (define @t318 () (not (tptp.ssList @t316))) % 0.52/0.73 (define @t319 () (or @t125 @t318 @t317)) % 0.52/0.73 (define @t320 () (or @t318 @t317)) % 0.52/0.73 (define @t321 () (or @t125 @t320)) % 0.52/0.73 (define @t322 () (@list @t2 @t316)) % 0.52/0.73 (define @t323 () (forall @t322 @t321)) % 0.52/0.73 (define @t324 () (@list @t316)) % 0.52/0.73 (define @t325 () (forall @t324 @t321)) % 0.52/0.73 (define @t326 () (forall @t324 @t320)) % 0.52/0.73 (define @t327 () (@list @t1)) % 0.52/0.73 (define @t328 () (or @t125 @t326)) % 0.52/0.73 (define @t329 () (forall @t7 (or @t144 @t5))) % 0.52/0.73 (define @t330 () (not (= @t276 tptp.nil))) % 0.52/0.73 (define @t331 () (= @t277 @t330)) % 0.52/0.73 (define @t332 () (not @t45)) % 0.52/0.73 (define @t333 () (or @t300 @t332 @t331)) % 0.52/0.73 (define @t334 () (forall @t322 @t319)) % 0.52/0.73 (define @t335 () (= @t296 @t277)) % 0.52/0.73 (define @t336 () (or @t300 @t332 @t335)) % 0.52/0.73 (define @t337 () (@list false)) % 0.52/0.73 (define @t338 () (not @t335)) % 0.52/0.73 (define @t339 () (not @t293)) % 0.52/0.73 (define @t340 () (@var "BOUND_VARIABLE_9130" $$unsorted)) % 0.52/0.73 (define @t341 () (tptp.ssList (tptp.cons @t340 @t2))) % 0.52/0.73 (define @t342 () (not (tptp.ssItem @t340))) % 0.52/0.73 (define @t343 () (or @t342 @t341)) % 0.52/0.73 (define @t344 () (or @t125 @t343)) % 0.52/0.73 (define @t345 () (forall (@list @t2 @t340) @t344)) % 0.52/0.73 (define @t346 () (@list @t340)) % 0.52/0.73 (define @t347 () (forall @t346 @t344)) % 0.52/0.73 (define @t348 () (forall @t346 @t343)) % 0.52/0.73 (define @t349 () (or @t125 @t348)) % 0.52/0.73 (define @t350 () (not @t6)) % 0.52/0.73 (define @t351 () (forall @t7 (or @t350 @t41))) % 0.52/0.73 (define @t352 () (@list tptp.nil @t278)) % 0.52/0.73 (define @t353 () (tptp.ssList @t279)) % 0.52/0.73 (define @t354 () (or @t332 @t288 @t353)) % 0.52/0.73 (define @t355 () (@var "BOUND_VARIABLE_9153" $$unsorted)) % 0.52/0.73 (define @t356 () (not (= @t2 (tptp.cons @t355 @t2)))) % 0.52/0.73 (define @t357 () (not (tptp.ssItem @t355))) % 0.52/0.73 (define @t358 () (or @t357 @t356)) % 0.52/0.73 (define @t359 () (or @t125 @t358)) % 0.52/0.73 (define @t360 () (forall (@list @t2 @t355) @t359)) % 0.52/0.73 (define @t361 () (@list @t355)) % 0.52/0.73 (define @t362 () (forall @t361 @t359)) % 0.52/0.73 (define @t363 () (forall @t361 @t358)) % 0.52/0.73 (define @t364 () (or @t125 @t363)) % 0.52/0.73 (define @t365 () (not (= @t2 @t40))) % 0.52/0.73 (define @t366 () (forall @t7 (or @t350 @t365))) % 0.52/0.73 (define @t367 () (= tptp.nil @t279)) % 0.52/0.73 (define @t368 () (not @t367)) % 0.52/0.73 (define @t369 () (or @t332 @t288 @t368)) % 0.52/0.73 (define @t370 () (@var "BOUND_VARIABLE_10602" $$unsorted)) % 0.52/0.73 (define @t371 () (and (= @t370 tptp.nil) @t116)) % 0.52/0.73 (define @t372 () (= tptp.nil (tptp.app @t2 @t370))) % 0.52/0.73 (define @t373 () (= @t372 @t371)) % 0.52/0.73 (define @t374 () (not (tptp.ssList @t370))) % 0.52/0.73 (define @t375 () (or @t125 @t374 @t373)) % 0.52/0.73 (define @t376 () (or @t374 @t373)) % 0.52/0.73 (define @t377 () (or @t125 @t376)) % 0.52/0.73 (define @t378 () (@list @t2 @t370)) % 0.52/0.73 (define @t379 () (forall @t378 @t377)) % 0.52/0.73 (define @t380 () (@list @t370)) % 0.52/0.73 (define @t381 () (forall @t380 @t377)) % 0.52/0.73 (define @t382 () (forall @t380 @t376)) % 0.52/0.73 (define @t383 () (or @t125 @t382)) % 0.52/0.73 (define @t384 () (= @t75 (and @t141 @t116))) % 0.52/0.73 (define @t385 () (forall @t7 (or @t144 @t384))) % 0.52/0.73 (define @t386 () (and @t367 (= @t280 tptp.nil))) % 0.52/0.73 (define @t387 () (= tptp.nil @t281)) % 0.52/0.73 (define @t388 () (= @t387 @t386)) % 0.52/0.73 (define @t389 () (not @t353)) % 0.52/0.73 (define @t390 () (or @t286 @t389 @t388)) % 0.52/0.73 (define @t391 () (forall @t378 (or @t125 @t374 (= @t372 (and (= tptp.nil @t370) @t116))))) % 0.52/0.73 (define @t392 () (and @t367 (= tptp.nil @t280))) % 0.52/0.73 (define @t393 () (= @t387 @t392)) % 0.52/0.73 (define @t394 () (or @t286 @t389 @t393)) % 0.52/0.73 (define @t395 () (and @t283 @t292)) % 0.52/0.73 (define @t396 () (@list true false)) % 0.52/0.73 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.52/0.73 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.52/0.73 (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))))))))))) % 0.52/0.73 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.52/0.73 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.52/0.73 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.52/0.73 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.52/0.73 (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))))))))))))))))) % 0.52/0.73 (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)))))))))))))))) % 0.52/0.73 (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))))))))))))))))) % 0.52/0.73 (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))))))))))))))) % 0.52/0.73 (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))))))))))))))) % 0.52/0.73 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.52/0.73 (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))))))))))))) % 0.52/0.73 (assume @p15 @t39) % 0.52/0.73 (assume @p16 @t44) % 0.52/0.73 (assume @p17 @t45) % 0.52/0.73 (assume @p18 @t50) % 0.52/0.73 (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) @t51))))))))))) % 0.52/0.73 (assume @p20 (forall @t9 (=> @t17 (or @t53 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t52 @t2))))))))) % 0.52/0.73 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.52/0.73 (assume @p22 (forall @t9 (=> @t17 (=> @t55 (tptp.ssItem @t54))))) % 0.52/0.73 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.52/0.73 (assume @p24 (forall @t9 (=> @t17 (=> @t55 (tptp.ssList @t56))))) % 0.52/0.73 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.52/0.73 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t57)))))) % 0.52/0.73 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t58) (tptp.app @t52 @t2))))))))) % 0.52/0.73 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.52/0.73 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t60 @t59) @t3)))))) % 0.52/0.73 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 @t26) (tptp.leq @t2 @t12))))))))) % 0.52/0.73 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.52/0.73 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 @t59)))))) % 0.52/0.73 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t63 (not @t62))))))) % 0.52/0.73 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t63 @t35) @t64)))))))) % 0.52/0.73 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 @t62)))))) % 0.52/0.73 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t66))))))))) % 0.52/0.73 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t66))))))))) % 0.52/0.73 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.52/0.73 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.52/0.73 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.52/0.73 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.52/0.73 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.52/0.73 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.52/0.73 (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)))))))))))) % 0.52/0.73 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.52/0.73 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t53)))) % 0.52/0.73 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.52/0.73 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.52/0.73 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.52/0.73 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t67 @t1))))))))) % 0.52/0.73 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.52/0.73 (assume @p52 (forall @t9 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(step @p483 :rule aci_norm :args ((= @t359 (or @t125 @t357 @t356)))) % 0.52/0.73 (step @p484 :rule cong :premises (@p483) :args (@t360)) % 0.52/0.73 (step @p485 :rule quant-merge-prenex :args ((= (forall @t9 @t362) @t360))) % 0.52/0.73 (step @p486 :rule alpha_equiv :args (@t363 (@list @t355) @t327)) % 0.52/0.73 (step @p487 :rule nary_cong :premises (@p115 @p486) :args (@t364)) % 0.52/0.73 (step @p488 :rule quant-miniscope-or :args ((= @t362 @t364))) % 0.52/0.73 (step @p489 :rule trans :premises (@p488 @p487)) % 0.52/0.73 (step @p490 :rule symm :premises (@p489)) % 0.52/0.73 (step @p491 :rule cong :premises (@p490) :args ((forall @t9 (or @t125 @t366)))) % 0.52/0.73 (step @p492 :rule trans :premises (@p491 @p485)) % 0.52/0.73 (step @p493 :rule trans :premises (@p492 @p484)) % 0.52/0.73 (step @p494 :rule bool-impl-elim :args (@t17 @t366)) % 0.52/0.73 (step @p495 :rule cong :premises (@p494) :args ((forall @t9 (=> @t17 @t366)))) % 0.52/0.73 (step @p496 :rule trans :premises (@p495 @p493)) % 0.52/0.73 (step @p497 :rule bool-impl-elim :args (@t6 @t365)) % 0.52/0.73 (step @p498 :rule cong :premises (@p497) :args ((forall @t7 (=> @t6 @t365)))) % 0.52/0.73 (step @p499 :rule eq-symm :args (@t40 @t2)) % 0.52/0.73 (step @p500 :rule cong :premises (@p499) :args (@t46)) % 0.52/0.73 (step @p501 :rule refl :args (@t6)) % 0.52/0.73 (step @p502 :rule cong :premises (@p501 @p500) :args (@t47)) % 0.52/0.73 (step @p503 :rule cong :premises (@p502) :args (@t48)) % 0.52/0.73 (step @p504 :rule trans :premises (@p503 @p498)) % 0.52/0.73 (step @p505 :rule cong :premises (@p340 @p504) :args (@t49)) % 0.52/0.73 (step @p506 :rule cong :premises (@p505) :args (@t50)) % 0.52/0.73 (step @p507 :rule trans :premises (@p506 @p496)) % 0.52/0.73 (step @p508 :rule eq_resolve :premises (@p18 @p507)) % 0.52/0.73 (step @p509 :rule instantiate :premises (@p508) :args (@t352)) % 0.52/0.73 (step @p510 :rule cnf_or_pos :args (@t369)) % 0.52/0.73 (step @p511 :rule reordering :premises (@p510) :args ((or @t332 @t288 @t368 (not @t369)))) % 0.52/0.73 (step @p512 :rule eq-symm :args (@t370 tptp.nil)) % 0.52/0.73 (step @p513 :rule nary_cong :premises (@p512 @p103) :args (@t371)) % 0.52/0.73 (step @p514 :rule refl :args (@t372)) % 0.52/0.73 (step @p515 :rule cong :premises (@p514 @p513) :args (@t373)) % 0.52/0.73 (step @p516 :rule refl :args (@t374)) % 0.52/0.73 (step @p517 :rule nary_cong :premises (@p108 @p516 @p515) :args (@t375)) % 0.52/0.73 (step @p518 :rule aci_norm :args ((= @t377 @t375))) % 0.52/0.73 (step @p519 :rule trans :premises (@p518 @p517)) % 0.52/0.73 (step @p520 :rule cong :premises (@p519) :args (@t379)) % 0.52/0.73 (step @p521 :rule quant-merge-prenex :args ((= (forall @t9 @t381) @t379))) % 0.52/0.73 (step @p522 :rule alpha_equiv :args (@t382 (@list @t370) @t327)) % 0.52/0.73 (step @p523 :rule nary_cong :premises (@p115 @p522) :args (@t383)) % 0.52/0.73 (step @p524 :rule quant-miniscope-or :args ((= @t381 @t383))) % 0.52/0.73 (step @p525 :rule trans :premises (@p524 @p523)) % 0.52/0.73 (step @p526 :rule symm :premises (@p525)) % 0.52/0.73 (step @p527 :rule cong :premises (@p526) :args ((forall @t9 (or @t125 @t385)))) % 0.52/0.73 (step @p528 :rule trans :premises (@p527 @p521)) % 0.52/0.73 (step @p529 :rule trans :premises (@p528 @p520)) % 0.52/0.73 (step @p530 :rule bool-impl-elim :args (@t17 @t385)) % 0.52/0.73 (step @p531 :rule cong :premises (@p530) :args ((forall @t9 (=> @t17 @t385)))) % 0.52/0.73 (step @p532 :rule trans :premises (@p531 @p529)) % 0.52/0.73 (step @p533 :rule bool-impl-elim :args (@t21 @t384)) % 0.52/0.73 (step @p534 :rule cong :premises (@p533) :args ((forall @t7 (=> @t21 @t384)))) % 0.52/0.73 (step @p535 :rule nary_cong :premises (@p281 @p282) :args (@t74)) % 0.52/0.73 (step @p536 :rule refl :args (@t75)) % 0.52/0.73 (step @p537 :rule cong :premises (@p536 @p535) :args (@t76)) % 0.52/0.73 (step @p538 :rule cong :premises (@p336 @p537) :args (@t77)) % 0.52/0.73 (step @p539 :rule cong :premises (@p538) :args (@t78)) % 0.52/0.73 (step @p540 :rule trans :premises (@p539 @p534)) % 0.52/0.73 (step @p541 :rule cong :premises (@p340 @p540) :args (@t79)) % 0.52/0.73 (step @p542 :rule cong :premises (@p541) :args (@t80)) % 0.52/0.73 (step @p543 :rule trans :premises (@p542 @p532)) % 0.52/0.73 (step @p544 :rule eq_resolve :premises (@p83 @p543)) % 0.52/0.73 (step @p545 :rule eq-symm :args (@t280 tptp.nil)) % 0.52/0.73 (step @p546 :rule refl :args (@t367)) % 0.52/0.73 (step @p547 :rule nary_cong :premises (@p546 @p545) :args (@t386)) % 0.52/0.73 (step @p548 :rule refl :args (@t387)) % 0.52/0.73 (step @p549 :rule cong :premises (@p548 @p547) :args (@t388)) % 0.52/0.73 (step @p550 :rule refl :args (@t389)) % 0.52/0.73 (step @p551 :rule refl :args (@t286)) % 0.52/0.73 (step @p552 :rule nary_cong :premises (@p551 @p550 @p549) :args (@t390)) % 0.52/0.73 (step @p553 :rule refl :args (@t391)) % 0.52/0.73 (step @p554 :rule cong :premises (@p553 @p552) :args ((=> @t391 @t390))) % 0.52/0.73 (assume-push @p601 @t391) % 0.52/0.73 (step @p556 :rule instantiate :premises (@p544) :args ((@list @t280 @t279))) % 0.52/0.73 (step-pop @p602 :rule scope :premises (@p556)) % 0.52/0.73 (step @p557 :rule process_scope :premises (@p602) :args (@t390)) % 0.52/0.73 (step @p559 :rule eq_resolve :premises (@p557 @p554)) % 0.52/0.73 (step @p560 :rule implies_elim :premises (@p559)) % 0.52/0.73 (step @p561 :rule chain_m_resolution :premises (@p560 @p544) :args (@t394 @t337 (@list @t391))) % 0.52/0.73 (step @p562 :rule cnf_or_pos :args (@t394)) % 0.52/0.73 (step @p563 :rule reordering :premises (@p562) :args ((or @t286 @t389 @t393 (not @t394)))) % 0.52/0.73 (step @p564 :rule cnf_and_pos :args (@t392 0)) % 0.52/0.73 (step @p565 :rule reordering :premises (@p564) :args ((or @t367 (not @t392)))) % 0.52/0.73 (step @p566 :rule cnf_equiv_pos1 :args (@t393)) % 0.52/0.73 (step @p567 :rule reordering :premises (@p566) :args ((or @t392 (not @t387) (not @t393)))) % 0.52/0.73 (assume-push @p603 @t283) % 0.52/0.73 (assume-push @p604 @t292) % 0.52/0.73 (assume-push @p605 @t283) % 0.52/0.73 (assume-push @p606 @t292) % 0.52/0.73 (step @p572 :rule trans :premises (@p604 @p603)) % 0.52/0.73 (step-pop @p607 :rule scope :premises (@p572)) % 0.52/0.73 (step-pop @p608 :rule scope :premises (@p607)) % 0.52/0.73 (step @p573 :rule process_scope :premises (@p608) :args (@t387)) % 0.52/0.73 (step @p576 :rule and_intro :premises (@p603 @p604)) % 0.52/0.73 (step @p577 :rule modus_ponens :premises (@p576 @p573)) % 0.52/0.73 (step-pop @p609 :rule scope :premises (@p577)) % 0.52/0.73 (step-pop @p610 :rule scope :premises (@p609)) % 0.52/0.73 (step @p578 :rule process_scope :premises (@p610) :args (@t387)) % 0.52/0.73 (step @p581 :rule implies_elim :premises (@p578)) % 0.52/0.73 (step @p582 :rule cnf_and_neg :args (@t395)) % 0.52/0.73 (step @p583 :rule resolution :premises (@p582 @p581) :args (true @t395)) % 0.52/0.73 (step @p584 :rule chain_m_resolution :premises (@p583 @p567 @p565 @p563 @p561 @p511 @p509 @p17 @p482 @p480 @p17 @p459 @p454 @p449 @p443 @p437 @p436 @p434 @p433 @p431 @p426 @p379) :args (@t291 (@list true true false false true false false false false false false false false false true true true true false false false) (@list @t387 @t392 @t393 @t394 @t367 @t369 @t45 @t353 @t354 @t45 @t283 @t285 @t287 @t292 @t289 @t290 @t295 @t298 @t277 @t335 @t297))) % 0.52/0.73 (step @p585 :rule refl :args (@t294)) % 0.52/0.73 (step @p586 :rule nary_cong :premises (@p585 @p438 @p355) :args ((or @t294 @t339 @t296))) % 0.52/0.73 (step @p587 :rule cnf_and_neg :args (@t294)) % 0.52/0.73 (step @p588 :rule eq_resolve :premises (@p587 @p586)) % 0.52/0.73 (step @p589 :rule reordering :premises (@p588) :args ((or @t296 @t292 @t294))) % 0.52/0.73 (step @p590 :rule chain_m_resolution :premises (@p589 @p584 @p373) :args (@t292 (@list false true) (@list @t291 @t294))) % 0.52/0.73 (step @p591 :rule cnf_or_neg :args (@t295 1)) % 0.52/0.73 (step @p592 :rule reordering :premises (@p591) :args ((or @t296 @t295))) % 0.52/0.73 (step @p593 :rule chain_m_resolution :premises (@p592 @p584) :args (@t295 @t337 (@list @t291))) % 0.52/0.73 (step @p594 :rule chain_m_resolution :premises (@p434 @p433 @p593) :args ((not @t297) @t396 (@list @t298 @t295))) % 0.52/0.73 (step @p595 :rule cnf_or_neg :args (@t297 1)) % 0.52/0.73 (step @p596 false :rule chain_m_resolution :premises (@p595 @p594 @p590) :args (false @t396 (@list @t297 @t292))) % 0.52/0.73 ) % 0.52/0.73 % SZS output end Proof % 0.52/0.73 % cvc5 exiting %------------------------------------------------------------------------------