%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC040+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 : n007.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 08:57:48 AM UTC 2026 % Result : Theorem 0.39s 0.69s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC040+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n007.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:10:26 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.69 % SZS status Theorem % 0.39/0.69 % SZS output start Proof % 0.39/0.69 ( % 0.39/0.69 (declare-sort $$unsorted 0) % 0.39/0.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.69 (declare-const tptp.nil $$unsorted) % 0.39/0.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.69 (define @t1 () (@var "V" $$unsorted)) % 0.39/0.69 (define @t2 () (@var "U" $$unsorted)) % 0.39/0.69 (define @t3 () (= @t2 @t1)) % 0.39/0.69 (define @t4 () (not @t3)) % 0.39/0.69 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.39/0.69 (define @t6 () (tptp.ssItem @t1)) % 0.39/0.69 (define @t7 () (@list @t1)) % 0.39/0.69 (define @t8 () (tptp.ssItem @t2)) % 0.39/0.69 (define @t9 () (@list @t2)) % 0.39/0.69 (define @t10 () (@var "X" $$unsorted)) % 0.39/0.69 (define @t11 () (tptp.cons @t1 @t10)) % 0.39/0.69 (define @t12 () (@var "W" $$unsorted)) % 0.39/0.69 (define @t13 () (tptp.ssList @t10)) % 0.39/0.69 (define @t14 () (@list @t10)) % 0.39/0.69 (define @t15 () (tptp.ssList @t12)) % 0.39/0.69 (define @t16 () (@list @t12)) % 0.39/0.69 (define @t17 () (tptp.ssList @t2)) % 0.39/0.69 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.39/0.69 (define @t19 () (tptp.app @t1 @t12)) % 0.39/0.69 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.39/0.69 (define @t21 () (tptp.ssList @t1)) % 0.39/0.69 (define @t22 () (tptp.app @t12 @t1)) % 0.39/0.69 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.39/0.69 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.39/0.69 (define @t25 () (tptp.leq @t12 @t1)) % 0.39/0.69 (define @t26 () (tptp.leq @t1 @t12)) % 0.39/0.69 (define @t27 () (@var "Z" $$unsorted)) % 0.39/0.69 (define @t28 () (@var "Y" $$unsorted)) % 0.39/0.69 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.39/0.69 (define @t30 () (tptp.ssList @t27)) % 0.39/0.69 (define @t31 () (@list @t27)) % 0.39/0.69 (define @t32 () (tptp.ssList @t28)) % 0.39/0.69 (define @t33 () (@list @t28)) % 0.39/0.69 (define @t34 () (tptp.ssItem @t12)) % 0.39/0.69 (define @t35 () (tptp.lt @t1 @t12)) % 0.39/0.69 (define @t36 () (= @t1 @t12)) % 0.39/0.69 (define @t37 () (tptp.cons @t1 @t2)) % 0.39/0.69 (define @t38 () (tptp.ssList tptp.nil)) % 0.39/0.69 (define @t39 () (= @t1 @t2)) % 0.39/0.69 (define @t40 () (tptp.cons @t12 @t1)) % 0.39/0.69 (define @t41 () (= tptp.nil @t2)) % 0.39/0.69 (define @t42 () (tptp.hd @t2)) % 0.39/0.69 (define @t43 () (not @t41)) % 0.39/0.69 (define @t44 () (tptp.tl @t2)) % 0.39/0.69 (define @t45 () (tptp.app @t2 @t1)) % 0.39/0.69 (define @t46 () (tptp.app @t1 @t2)) % 0.39/0.69 (define @t47 () (tptp.leq @t1 @t2)) % 0.39/0.69 (define @t48 () (tptp.leq @t2 @t1)) % 0.39/0.69 (define @t49 () (tptp.geq @t2 @t1)) % 0.39/0.69 (define @t50 () (tptp.lt @t1 @t2)) % 0.39/0.69 (define @t51 () (tptp.lt @t2 @t1)) % 0.39/0.69 (define @t52 () (tptp.lt @t2 @t12)) % 0.39/0.69 (define @t53 () (tptp.gt @t2 @t1)) % 0.39/0.69 (define @t54 () (tptp.memberP @t12 @t2)) % 0.39/0.69 (define @t55 () (tptp.app @t12 @t2)) % 0.39/0.69 (define @t56 () (tptp.cons @t2 tptp.nil)) % 0.39/0.69 (define @t57 () (tptp.hd @t1)) % 0.39/0.69 (define @t58 () (= tptp.nil @t1)) % 0.39/0.69 (define @t59 () (not @t58)) % 0.39/0.69 (define @t60 () (tptp.cons @t2 @t1)) % 0.39/0.69 (define @t61 () (= @t12 @t2)) % 0.39/0.69 (define @t62 () (tptp.neq @t10 tptp.nil)) % 0.39/0.69 (define @t63 () (tptp.cons @t28 tptp.nil)) % 0.39/0.69 (define @t64 () (tptp.app @t27 @t63)) % 0.39/0.69 (define @t65 () (not (= @t64 @t10))) % 0.39/0.69 (define @t66 () (tptp.app @t63 @t27)) % 0.39/0.69 (define @t67 () (not (= @t66 @t12))) % 0.39/0.69 (define @t68 () (or @t67 @t65)) % 0.39/0.69 (define @t69 () (=> @t30 @t68)) % 0.39/0.69 (define @t70 () (forall @t31 @t69)) % 0.39/0.69 (define @t71 () (tptp.ssItem @t28)) % 0.39/0.69 (define @t72 () (=> @t71 @t70)) % 0.39/0.69 (define @t73 () (forall @t33 @t72)) % 0.39/0.69 (define @t74 () (and @t73 @t62)) % 0.39/0.69 (define @t75 () (not (= tptp.nil @t12))) % 0.39/0.69 (define @t76 () (and @t75 (= tptp.nil @t10))) % 0.39/0.69 (define @t77 () (not (= @t2 @t12))) % 0.39/0.69 (define @t78 () (not (= @t1 @t10))) % 0.39/0.69 (define @t79 () (or @t59 @t78 @t77 @t41 @t76 @t74)) % 0.39/0.69 (define @t80 () (=> @t13 @t79)) % 0.39/0.69 (define @t81 () (forall @t14 @t80)) % 0.39/0.69 (define @t82 () (=> @t15 @t81)) % 0.39/0.69 (define @t83 () (forall @t16 @t82)) % 0.39/0.69 (define @t84 () (=> @t21 @t83)) % 0.39/0.69 (define @t85 () (forall @t7 @t84)) % 0.39/0.69 (define @t86 () (=> @t17 @t85)) % 0.39/0.69 (define @t87 () (forall @t9 @t86)) % 0.39/0.69 (define @t88 () (not @t87)) % 0.39/0.69 (define @t89 () (not @t17)) % 0.39/0.69 (define @t90 () (or @t89 true)) % 0.39/0.69 (define @t91 () (= @t2 tptp.nil)) % 0.39/0.69 (define @t92 () (not @t38)) % 0.39/0.69 (define @t93 () (tptp.neq tptp.nil tptp.nil)) % 0.39/0.69 (define @t94 () (@var "BOUND_VARIABLE_11145" $$unsorted)) % 0.39/0.69 (define @t95 () (tptp.cons @t94 tptp.nil)) % 0.39/0.69 (define @t96 () (@var "BOUND_VARIABLE_11147" $$unsorted)) % 0.39/0.69 (define @t97 () (and (forall (@list @t94 @t96) (or (not (tptp.ssItem @t94)) (not (tptp.ssList @t96)) (not (= @t2 (tptp.app @t95 @t96))) (not (= tptp.nil (tptp.app @t96 @t95))))) @t93)) % 0.39/0.69 (define @t98 () (not @t91)) % 0.39/0.69 (define @t99 () (or @t91 @t89 @t92 @t98 @t97)) % 0.39/0.69 (define @t100 () (@var "BOUND_VARIABLE_11109" $$unsorted)) % 0.39/0.69 (define @t101 () (@var "BOUND_VARIABLE_11107" $$unsorted)) % 0.39/0.69 (define @t102 () (@list @t101 @t100)) % 0.39/0.69 (define @t103 () (forall @t102 @t93)) % 0.39/0.69 (define @t104 () (tptp.cons @t101 tptp.nil)) % 0.39/0.69 (define @t105 () (tptp.app @t100 @t104)) % 0.39/0.69 (define @t106 () (not (= @t2 (tptp.app @t104 @t100)))) % 0.39/0.69 (define @t107 () (not (tptp.ssList @t100))) % 0.39/0.69 (define @t108 () (not (tptp.ssItem @t101))) % 0.39/0.69 (define @t109 () (or @t108 @t107 @t106 (not (= tptp.nil @t105)))) % 0.39/0.69 (define @t110 () (forall @t102 @t109)) % 0.39/0.69 (define @t111 () (@list @t101 @t100)) % 0.39/0.69 (define @t112 () (and @t110 @t103)) % 0.39/0.69 (define @t113 () (and @t109 @t93)) % 0.39/0.69 (define @t114 () (forall @t102 @t113)) % 0.39/0.69 (define @t115 () (or @t92 @t98 @t114)) % 0.39/0.69 (define @t116 () (or @t92 @t98 @t113)) % 0.39/0.69 (define @t117 () (= tptp.nil tptp.nil)) % 0.39/0.69 (define @t118 () (and @t98 @t117)) % 0.39/0.69 (define @t119 () (not @t117)) % 0.39/0.69 (define @t120 () (or @t92 @t119 @t118 @t113)) % 0.39/0.69 (define @t121 () (tptp.neq @t1 tptp.nil)) % 0.39/0.69 (define @t122 () (or @t108 @t107 @t106 (not (= @t1 @t105)))) % 0.39/0.69 (define @t123 () (and @t122 @t121)) % 0.39/0.69 (define @t124 () (= @t1 tptp.nil)) % 0.39/0.69 (define @t125 () (and @t98 @t124)) % 0.39/0.69 (define @t126 () (not @t124)) % 0.39/0.69 (define @t127 () (not @t21)) % 0.39/0.69 (define @t128 () (or @t126 @t127 @t126 @t125 @t123)) % 0.39/0.69 (define @t129 () (or @t127 @t126 @t125 @t123)) % 0.39/0.69 (define @t130 () (forall @t7 @t129)) % 0.39/0.69 (define @t131 () (forall @t102 @t130)) % 0.39/0.69 (define @t132 () (forall (@list @t101 @t100 @t1) @t129)) % 0.39/0.69 (define @t133 () (forall (@list @t1 @t101 @t100) @t129)) % 0.39/0.69 (define @t134 () (forall @t102 @t129)) % 0.39/0.69 (define @t135 () (forall @t102 @t121)) % 0.39/0.69 (define @t136 () (forall @t102 @t122)) % 0.39/0.69 (define @t137 () (@var "BOUND_VARIABLE_11076" $$unsorted)) % 0.39/0.69 (define @t138 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 0.39/0.69 (define @t139 () (@list @t138 @t137)) % 0.39/0.69 (define @t140 () (and @t136 @t135)) % 0.39/0.69 (define @t141 () (forall @t102 @t123)) % 0.39/0.69 (define @t142 () (or @t127 @t126 @t125 @t141)) % 0.39/0.69 (define @t143 () (tptp.cons @t138 tptp.nil)) % 0.39/0.69 (define @t144 () (and (forall (@list @t138 @t137) (or (not (tptp.ssItem @t138)) (not (tptp.ssList @t137)) (not (= @t2 (tptp.app @t143 @t137))) (not (= @t1 (tptp.app @t137 @t143))))) @t121)) % 0.39/0.69 (define @t145 () (or @t127 @t126 @t125 @t144)) % 0.39/0.69 (define @t146 () (forall @t7 @t145)) % 0.39/0.69 (define @t147 () (or @t91 @t89 @t146)) % 0.39/0.69 (define @t148 () (or @t91 @t89 @t145)) % 0.39/0.69 (define @t149 () (or @t127 @t126 @t91 @t89 @t125 @t144)) % 0.39/0.69 (define @t150 () (or @t126 @t91 @t127 @t89 @t125 @t144)) % 0.39/0.69 (define @t151 () (@var "BOUND_VARIABLE_11041" $$unsorted)) % 0.39/0.69 (define @t152 () (@var "BOUND_VARIABLE_11039" $$unsorted)) % 0.39/0.69 (define @t153 () (@list @t152 @t151)) % 0.39/0.69 (define @t154 () (forall @t153 @t121)) % 0.39/0.69 (define @t155 () (tptp.cons @t152 tptp.nil)) % 0.39/0.69 (define @t156 () (not (= @t1 (tptp.app @t151 @t155)))) % 0.39/0.69 (define @t157 () (tptp.app @t155 @t151)) % 0.39/0.69 (define @t158 () (not (tptp.ssList @t151))) % 0.39/0.69 (define @t159 () (not (tptp.ssItem @t152))) % 0.39/0.69 (define @t160 () (or @t159 @t158 (not (= @t2 @t157)) @t156)) % 0.39/0.69 (define @t161 () (forall @t153 @t160)) % 0.39/0.69 (define @t162 () (@list @t152 @t151)) % 0.39/0.69 (define @t163 () (and @t161 @t154)) % 0.39/0.69 (define @t164 () (and @t160 @t121)) % 0.39/0.69 (define @t165 () (forall @t153 @t164)) % 0.39/0.69 (define @t166 () (or @t89 @t125 @t165)) % 0.39/0.69 (define @t167 () (or @t89 @t125 @t164)) % 0.39/0.69 (define @t168 () (not (= @t2 @t2))) % 0.39/0.69 (define @t169 () (or @t89 @t168 @t125 @t164)) % 0.39/0.69 (define @t170 () (or @t159 @t158 (not (= @t12 @t157)) @t156)) % 0.39/0.69 (define @t171 () (and @t170 @t121)) % 0.39/0.69 (define @t172 () (not (= @t12 tptp.nil))) % 0.39/0.69 (define @t173 () (and @t172 @t124)) % 0.39/0.69 (define @t174 () (not @t15)) % 0.39/0.69 (define @t175 () (or @t77 @t174 @t77 @t173 @t171)) % 0.39/0.69 (define @t176 () (or @t174 @t77 @t173 @t171)) % 0.39/0.69 (define @t177 () (forall @t16 @t176)) % 0.39/0.69 (define @t178 () (forall @t153 @t177)) % 0.39/0.69 (define @t179 () (forall (@list @t152 @t151 @t12) @t176)) % 0.39/0.69 (define @t180 () (forall (@list @t12 @t152 @t151) @t176)) % 0.39/0.69 (define @t181 () (forall @t153 @t176)) % 0.39/0.69 (define @t182 () (forall @t153 @t170)) % 0.39/0.69 (define @t183 () (@var "BOUND_VARIABLE_11008" $$unsorted)) % 0.39/0.69 (define @t184 () (@var "BOUND_VARIABLE_11006" $$unsorted)) % 0.39/0.69 (define @t185 () (@list @t184 @t183)) % 0.39/0.69 (define @t186 () (and @t182 @t154)) % 0.39/0.69 (define @t187 () (forall @t153 @t171)) % 0.39/0.69 (define @t188 () (or @t174 @t77 @t173 @t187)) % 0.39/0.69 (define @t189 () (tptp.cons @t184 tptp.nil)) % 0.39/0.69 (define @t190 () (and (forall (@list @t184 @t183) (or (not (tptp.ssItem @t184)) (not (tptp.ssList @t183)) (not (= @t12 (tptp.app @t189 @t183))) (not (= @t1 (tptp.app @t183 @t189))))) @t121)) % 0.39/0.69 (define @t191 () (or @t174 @t77 @t173 @t190)) % 0.39/0.69 (define @t192 () (forall @t16 @t191)) % 0.39/0.69 (define @t193 () (or @t126 @t91 @t127 @t192)) % 0.39/0.69 (define @t194 () (or @t126 @t91 @t127 @t191)) % 0.39/0.69 (define @t195 () (or @t174 @t126 @t77 @t91 @t127 @t173 @t190)) % 0.39/0.69 (define @t196 () (or @t126 @t77 @t91 @t127 @t173 @t190)) % 0.39/0.69 (define @t197 () (@var "BOUND_VARIABLE_10974" $$unsorted)) % 0.39/0.69 (define @t198 () (@var "BOUND_VARIABLE_10972" $$unsorted)) % 0.39/0.69 (define @t199 () (@list @t198 @t197)) % 0.39/0.69 (define @t200 () (forall @t199 @t121)) % 0.39/0.69 (define @t201 () (tptp.cons @t198 tptp.nil)) % 0.39/0.69 (define @t202 () (tptp.app @t197 @t201)) % 0.39/0.69 (define @t203 () (not (= @t12 (tptp.app @t201 @t197)))) % 0.39/0.69 (define @t204 () (not (tptp.ssList @t197))) % 0.39/0.69 (define @t205 () (not (tptp.ssItem @t198))) % 0.39/0.69 (define @t206 () (or @t205 @t204 @t203 (not (= @t1 @t202)))) % 0.39/0.69 (define @t207 () (forall @t199 @t206)) % 0.39/0.69 (define @t208 () (@list @t198 @t197)) % 0.39/0.69 (define @t209 () (and @t207 @t200)) % 0.39/0.69 (define @t210 () (and @t206 @t121)) % 0.39/0.69 (define @t211 () (forall @t199 @t210)) % 0.39/0.69 (define @t212 () (or @t127 @t173 @t211)) % 0.39/0.69 (define @t213 () (or @t127 @t173 @t210)) % 0.39/0.69 (define @t214 () (not (= @t1 @t1))) % 0.39/0.69 (define @t215 () (or @t127 @t214 @t173 @t210)) % 0.39/0.69 (define @t216 () (or @t205 @t204 @t203 (not (= @t10 @t202)))) % 0.39/0.69 (define @t217 () (and @t216 @t62)) % 0.39/0.69 (define @t218 () (and @t172 (= @t10 tptp.nil))) % 0.39/0.69 (define @t219 () (not @t13)) % 0.39/0.69 (define @t220 () (or @t78 @t219 @t78 @t218 @t217)) % 0.39/0.69 (define @t221 () (or @t219 @t78 @t218 @t217)) % 0.39/0.69 (define @t222 () (forall @t14 @t221)) % 0.39/0.69 (define @t223 () (forall @t199 @t222)) % 0.39/0.69 (define @t224 () (forall (@list @t198 @t197 @t10) @t221)) % 0.39/0.69 (define @t225 () (forall (@list @t10 @t198 @t197) @t221)) % 0.39/0.69 (define @t226 () (forall @t199 @t221)) % 0.39/0.69 (define @t227 () (forall @t199 @t62)) % 0.39/0.69 (define @t228 () (forall @t199 @t216)) % 0.39/0.69 (define @t229 () (@var "BOUND_VARIABLE_10947" $$unsorted)) % 0.39/0.69 (define @t230 () (and @t228 @t227)) % 0.39/0.69 (define @t231 () (forall @t199 @t217)) % 0.39/0.69 (define @t232 () (or @t219 @t78 @t218 @t231)) % 0.39/0.69 (define @t233 () (not (= @t10 (tptp.app @t229 @t63)))) % 0.39/0.69 (define @t234 () (not (= @t12 (tptp.app @t63 @t229)))) % 0.39/0.69 (define @t235 () (not (tptp.ssList @t229))) % 0.39/0.69 (define @t236 () (not @t71)) % 0.39/0.69 (define @t237 () (or @t236 @t235 @t234 @t233)) % 0.39/0.69 (define @t238 () (@list @t28 @t229)) % 0.39/0.69 (define @t239 () (and (forall @t238 @t237) @t62)) % 0.39/0.69 (define @t240 () (or @t219 @t78 @t218 @t239)) % 0.39/0.69 (define @t241 () (forall @t14 @t240)) % 0.39/0.69 (define @t242 () (or @t126 @t77 @t91 @t241)) % 0.39/0.69 (define @t243 () (or @t126 @t77 @t91 @t240)) % 0.39/0.69 (define @t244 () (or @t219 @t126 @t78 @t77 @t91 @t218 @t239)) % 0.39/0.69 (define @t245 () (or @t126 @t78 @t77 @t91 @t218 @t239)) % 0.39/0.69 (define @t246 () (or @t235 @t234 @t233)) % 0.39/0.69 (define @t247 () (or @t236 @t246)) % 0.39/0.69 (define @t248 () (forall @t238 @t247)) % 0.39/0.69 (define @t249 () (@list @t229)) % 0.39/0.69 (define @t250 () (forall @t249 @t247)) % 0.39/0.69 (define @t251 () (forall @t249 @t246)) % 0.39/0.69 (define @t252 () (or @t236 @t251)) % 0.39/0.69 (define @t253 () (not (= @t10 @t64))) % 0.39/0.69 (define @t254 () (not (= @t12 @t66))) % 0.39/0.69 (define @t255 () (not @t30)) % 0.39/0.69 (define @t256 () (or @t255 @t254 @t253)) % 0.39/0.69 (define @t257 () (forall @t31 @t256)) % 0.39/0.69 (define @t258 () (or @t254 @t253)) % 0.39/0.69 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.39/0.69 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.39/0.69 (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))))))))))) % 0.39/0.69 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.39/0.69 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.39/0.69 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.39/0.69 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.39/0.69 (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))))))))))))))))) % 0.39/0.69 (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)))))))))))))))) % 0.39/0.69 (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))))))))))))))))) % 0.39/0.69 (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))))))))))))))) % 0.39/0.69 (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))))))))))))))) % 0.39/0.69 (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)))))))))))))))) % 0.39/0.69 (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))))))))))))) % 0.39/0.69 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.39/0.69 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.39/0.69 (assume @p17 @t38) % 0.39/0.69 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.39/0.69 (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))))))))))) % 0.39/0.69 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.39/0.69 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.39/0.69 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.39/0.69 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.39/0.69 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.39/0.69 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.39/0.69 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.39/0.69 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.39/0.69 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.39/0.69 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.39/0.69 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.39/0.69 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.39/0.69 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.39/0.69 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.39/0.69 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.39/0.69 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.39/0.69 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.39/0.69 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))))))))) % 0.39/0.69 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.39/0.69 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.39/0.69 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.39/0.69 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.39/0.69 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.39/0.69 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.39/0.69 (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)))))))))))) % 0.39/0.69 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.39/0.69 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.39/0.69 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.39/0.69 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.39/0.69 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.39/0.69 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t55 @t1))))))))) % 0.39/0.69 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.39/0.69 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.39/0.69 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.39/0.69 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.39/0.69 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.39/0.69 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t55 @t10) @t1))))))))))) % 0.39/0.69 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.39/0.69 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 0.39/0.69 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t56)))) % 0.39/0.69 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.39/0.69 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t56)))) % 0.39/0.69 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.39/0.69 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t56)))) % 0.39/0.69 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.39/0.69 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t56)))) % 0.39/0.69 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.39/0.69 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t60) (or @t58 (and @t59 (tptp.totalorderedP @t1) (tptp.leq @t2 @t57))))))))) % 0.39/0.69 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t56)))) % 0.39/0.69 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.39/0.69 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t60) (or @t58 (and @t59 (tptp.strictorderedP @t1) (tptp.lt @t2 @t57))))))))) % 0.39/0.69 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t56)))) % 0.39/0.69 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.39/0.69 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t56)))) % 0.39/0.69 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.39/0.69 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 0.39/0.69 (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1))))))) % 0.39/0.69 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t59 @t43 (= @t57 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 0.39/0.69 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 0.39/0.69 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t61)))))))) % 0.39/0.69 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t46) @t61)))))))) % 0.39/0.69 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.39/0.69 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 0.39/0.69 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t58 @t41))))))) % 0.39/0.69 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.39/0.69 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 0.39/0.69 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 0.39/0.69 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 (tptp.geq @t1 @t2)) @t3)))))) % 0.39/0.69 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.39/0.69 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.39/0.69 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.39/0.69 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t35) @t52)))))))) % 0.39/0.69 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t48 (or @t3 @t51))))))) % 0.39/0.69 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t51 (and @t4 @t48))))))) % 0.39/0.69 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t53 (not (tptp.gt @t1 @t2)))))))) % 0.39/0.69 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.39/0.69 (assume @p96 @t88) % 0.39/0.69 (assume @p97 true) % 0.39/0.69 (step @p98 :rule evaluate :args ((not true))) % 0.39/0.69 (step @p99 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 0.39/0.69 (step @p100 :rule absorb :args ((= @t90 true))) % 0.39/0.69 (step @p101 :rule cong :premises (@p100) :args ((forall @t9 @t90))) % 0.39/0.69 (step @p102 :rule trans :premises (@p101 @p99)) % 0.39/0.69 (step @p103 :rule bool-or-taut :args (false @t91 (or @t89 @t92) (or @t97))) % 0.39/0.69 (step @p104 :rule refl :args (@t89)) % 0.39/0.69 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t89 @t99))) % 0.39/0.69 (step @p106 :rule bool-impl-elim :args (@t17 @t99)) % 0.39/0.69 (step @p107 :rule trans :premises (@p106 @p105)) % 0.39/0.69 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (=> @t17 @t99)))) % 0.39/0.69 (step @p109 :rule trans :premises (@p108 @p102)) % 0.39/0.69 (step @p110 :rule aci_norm :args ((= (or @t91 @t89 (or @t92 @t98 @t97)) @t99))) % 0.39/0.69 (step @p111 :rule quant-unused-vars :args ((= @t103 @t93))) % 0.39/0.69 (step @p112 :rule alpha_equiv :args (@t110 @t111 (@list @t94 @t96))) % 0.39/0.69 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t112)) % 0.39/0.69 (step @p114 :rule quant-miniscope-and :args ((= @t114 @t112))) % 0.39/0.69 (step @p115 :rule trans :premises (@p114 @p113)) % 0.39/0.69 (step @p116 :rule refl :args (@t98)) % 0.39/0.69 (step @p117 :rule refl :args (@t92)) % 0.39/0.69 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115) :args (@t115)) % 0.39/0.69 (step @p119 :rule quant-miniscope-or :args ((= (forall @t102 @t116) @t115))) % 0.39/0.69 (step @p120 :rule trans :premises (@p119 @p118)) % 0.39/0.69 (step @p121 :rule aci_norm :args ((= (or @t92 false @t98 @t113) @t116))) % 0.39/0.69 (step @p122 :rule refl :args (@t113)) % 0.39/0.69 (step @p123 :rule aci_norm :args ((= (and @t98 true) @t98))) % 0.39/0.69 (step @p124 :rule eq-refl :args (tptp.nil)) % 0.39/0.69 (step @p125 :rule nary_cong :premises (@p116 @p124) :args (@t118)) % 0.39/0.69 (step @p126 :rule trans :premises (@p125 @p123)) % 0.39/0.69 (step @p127 :rule cong :premises (@p124) :args (@t119)) % 0.39/0.69 (step @p128 :rule trans :premises (@p127 @p98)) % 0.39/0.69 (step @p129 :rule nary_cong :premises (@p117 @p128 @p126 @p122) :args (@t120)) % 0.39/0.69 (step @p130 :rule trans :premises (@p129 @p121)) % 0.39/0.69 (step @p131 :rule cong :premises (@p130) :args ((forall @t102 @t120))) % 0.39/0.69 (step @p132 :rule trans :premises (@p131 @p120)) % 0.39/0.69 (step @p133 :rule quant-var-elim-eq :args ((= (forall @t7 @t128) @t120))) % 0.39/0.69 (step @p134 :rule aci_norm :args ((= @t129 @t128))) % 0.39/0.69 (step @p135 :rule cong :premises (@p134) :args (@t130)) % 0.39/0.69 (step @p136 :rule 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@p160 @p222 @p221) :args (@t193)) % 0.39/0.69 (step @p225 :rule trans :premises (@p224 @p173)) % 0.39/0.69 (step @p226 :rule quant-miniscope-or :args ((= (forall @t16 @t194) @t193))) % 0.39/0.69 (step @p227 :rule aci_norm :args ((= @t195 @t194))) % 0.39/0.69 (step @p228 :rule cong :premises (@p227) :args ((forall @t16 @t195))) % 0.39/0.69 (step @p229 :rule trans :premises (@p228 @p226)) % 0.39/0.69 (step @p230 :rule trans :premises (@p229 @p225)) % 0.39/0.69 (step @p231 :rule aci_norm :args ((= (or @t174 @t196) @t195))) % 0.39/0.69 (step @p232 :rule bool-impl-elim :args (@t15 @t196)) % 0.39/0.69 (step @p233 :rule trans :premises (@p232 @p231)) % 0.39/0.69 (step @p234 :rule cong :premises (@p233) :args ((forall @t16 (=> @t15 @t196)))) % 0.39/0.69 (step @p235 :rule trans :premises (@p234 @p230)) % 0.39/0.69 (step @p236 :rule aci_norm :args ((= (or @t126 @t77 @t91 (or @t127 @t173 @t190)) @t196))) % 0.39/0.69 (step @p237 :rule quant-unused-vars :args ((= @t200 @t121))) % 0.39/0.69 (step 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0.39/0.69 (step @p281 :rule trans :premises (@p280 @p279)) % 0.39/0.69 (step @p282 :rule symm :premises (@p281)) % 0.39/0.69 (step @p283 :rule cong :premises (@p282) :args (@t241)) % 0.39/0.69 (step @p284 :rule trans :premises (@p283 @p273)) % 0.39/0.69 (step @p285 :rule trans :premises (@p284 @p272)) % 0.39/0.69 (step @p286 :rule refl :args (@t77)) % 0.39/0.69 (step @p287 :rule nary_cong :premises (@p223 @p286 @p160 @p285) :args (@t242)) % 0.39/0.69 (step @p288 :rule trans :premises (@p287 @p236)) % 0.39/0.69 (step @p289 :rule quant-miniscope-or :args ((= (forall @t14 @t243) @t242))) % 0.39/0.69 (step @p290 :rule aci_norm :args ((= @t244 @t243))) % 0.39/0.69 (step @p291 :rule cong :premises (@p290) :args ((forall @t14 @t244))) % 0.39/0.69 (step @p292 :rule trans :premises (@p291 @p289)) % 0.39/0.69 (step @p293 :rule trans :premises (@p292 @p288)) % 0.39/0.69 (step @p294 :rule aci_norm :args ((= (or @t219 @t245) @t244))) % 0.39/0.69 (step @p295 :rule bool-impl-elim :args (@t13 @t245)) % 0.39/0.69 (step @p296 :rule trans :premises (@p295 @p294)) % 0.39/0.69 (step @p297 :rule cong :premises (@p296) :args ((forall @t14 (=> @t13 @t245)))) % 0.39/0.69 (step @p298 :rule trans :premises (@p297 @p293)) % 0.39/0.69 (step @p299 :rule refl :args (@t62)) % 0.39/0.69 (step @p300 :rule aci_norm :args ((= @t247 @t237))) % 0.39/0.69 (step @p301 :rule cong :premises (@p300) :args (@t248)) % 0.39/0.69 (step @p302 :rule quant-merge-prenex :args ((= (forall @t33 @t250) @t248))) % 0.39/0.69 (step @p303 :rule alpha_equiv :args (@t251 (@list @t229) (@list @t27))) % 0.39/0.69 (step @p304 :rule refl :args (@t236)) % 0.39/0.69 (step @p305 :rule nary_cong :premises (@p304 @p303) :args (@t252)) % 0.39/0.69 (step @p306 :rule quant-miniscope-or :args ((= @t250 @t252))) % 0.39/0.69 (step @p307 :rule trans :premises (@p306 @p305)) % 0.39/0.69 (step @p308 :rule symm :premises (@p307)) % 0.39/0.69 (step @p309 :rule cong :premises (@p308) :args ((forall @t33 (or @t236 @t257)))) % 0.39/0.69 (step @p310 :rule trans :premises (@p309 @p302)) % 0.39/0.69 (step @p311 :rule trans :premises (@p310 @p301)) % 0.39/0.69 (step @p312 :rule bool-impl-elim :args (@t71 @t257)) % 0.39/0.69 (step @p313 :rule cong :premises (@p312) :args ((forall @t33 (=> @t71 @t257)))) % 0.39/0.69 (step @p314 :rule trans :premises (@p313 @p311)) % 0.39/0.69 (step @p315 :rule aci_norm :args ((= (or @t255 @t258) @t256))) % 0.39/0.69 (step @p316 :rule bool-impl-elim :args (@t30 @t258)) % 0.39/0.69 (step @p317 :rule trans :premises (@p316 @p315)) % 0.39/0.69 (step @p318 :rule cong :premises (@p317) :args ((forall @t31 (=> @t30 @t258)))) % 0.39/0.69 (step @p319 :rule eq-symm :args (@t64 @t10)) % 0.39/0.69 (step @p320 :rule cong :premises (@p319) :args (@t65)) % 0.39/0.69 (step @p321 :rule eq-symm :args (@t66 @t12)) % 0.39/0.69 (step @p322 :rule cong :premises (@p321) :args (@t67)) % 0.39/0.69 (step @p323 :rule nary_cong :premises (@p322 @p320) :args (@t68)) % 0.39/0.69 (step @p324 :rule refl :args (@t30)) % 0.39/0.69 (step @p325 :rule cong :premises (@p324 @p323) :args (@t69)) % 0.39/0.69 (step @p326 :rule cong :premises (@p325) :args (@t70)) % 0.39/0.69 (step @p327 :rule trans :premises (@p326 @p318)) % 0.39/0.69 (step @p328 :rule refl :args (@t71)) % 0.39/0.69 (step @p329 :rule cong :premises (@p328 @p327) :args (@t72)) % 0.39/0.69 (step @p330 :rule cong :premises (@p329) :args (@t73)) % 0.39/0.69 (step @p331 :rule trans :premises (@p330 @p314)) % 0.39/0.69 (step @p332 :rule nary_cong :premises (@p331 @p299) :args (@t74)) % 0.39/0.69 (step @p333 :rule eq-symm :args (tptp.nil @t10)) % 0.39/0.69 (step @p334 :rule eq-symm :args (tptp.nil @t12)) % 0.39/0.69 (step @p335 :rule cong :premises (@p334) :args (@t75)) % 0.39/0.69 (step @p336 :rule nary_cong :premises (@p335 @p333) :args (@t76)) % 0.39/0.69 (step @p337 :rule eq-symm :args (tptp.nil @t2)) % 0.39/0.69 (step @p338 :rule refl :args (@t78)) % 0.39/0.69 (step @p339 :rule eq-symm :args (tptp.nil @t1)) % 0.39/0.69 (step @p340 :rule cong 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(@t86)) % 0.39/0.69 (step @p356 :rule cong :premises (@p355) :args (@t87)) % 0.39/0.69 (step @p357 :rule trans :premises (@p356 @p109)) % 0.39/0.69 (step @p358 :rule cong :premises (@p357) :args (@t88)) % 0.39/0.69 (step @p359 :rule trans :premises (@p358 @p98)) % 0.39/0.69 (step @p360 false :rule eq_resolve :premises (@p96 @p359)) % 0.39/0.69 ) % 0.39/0.69 % SZS output end Proof % 0.39/0.69 % cvc5 exiting %------------------------------------------------------------------------------