%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC403+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 : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:11 AM UTC 2026 % Result : Theorem 234.93s 235.18s % Output : Proof 234.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC403+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.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 19:46:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 234.93/235.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 234.93/235.18 --- Run --no-e-matching --full-saturate-quant at 6... % 234.93/235.18 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 234.93/235.18 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 234.93/235.18 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 234.93/235.18 --- Run --trigger-sel=max --full-saturate-quant at 15... % 234.93/235.18 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 234.93/235.18 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 234.93/235.18 --- Run --prenex-quant=none --full-saturate-quant at 30... % 234.93/235.18 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 234.93/235.18 --- Run --relevant-triggers --full-saturate-quant at 30... % 234.93/235.18 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 234.93/235.18 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 234.93/235.18 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 234.93/235.18 % SZS status Theorem % 234.93/235.18 % SZS output start Proof % 234.93/235.18 ( % 234.93/235.18 (declare-sort $$unsorted 0) % 234.93/235.18 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 234.93/235.18 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 234.93/235.18 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 234.93/235.18 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 234.93/235.18 (declare-const tptp.nil $$unsorted) % 234.93/235.18 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.ssList (-> $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 234.93/235.18 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 234.93/235.18 (define @t1 () (@var "V" $$unsorted)) % 234.93/235.18 (define @t2 () (@var "U" $$unsorted)) % 234.93/235.18 (define @t3 () (= @t2 @t1)) % 234.93/235.18 (define @t4 () (not @t3)) % 234.93/235.18 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 234.93/235.18 (define @t6 () (tptp.ssItem @t1)) % 234.93/235.18 (define @t7 () (@list @t1)) % 234.93/235.18 (define @t8 () (tptp.ssItem @t2)) % 234.93/235.18 (define @t9 () (@list @t2)) % 234.93/235.18 (define @t10 () (@var "X" $$unsorted)) % 234.93/235.18 (define @t11 () (tptp.cons @t1 @t10)) % 234.93/235.18 (define @t12 () (@var "W" $$unsorted)) % 234.93/235.18 (define @t13 () (tptp.ssList @t10)) % 234.93/235.18 (define @t14 () (@list @t10)) % 234.93/235.18 (define @t15 () (tptp.ssList @t12)) % 234.93/235.18 (define @t16 () (@list @t12)) % 234.93/235.18 (define @t17 () (tptp.ssList @t2)) % 234.93/235.18 (define @t18 () (tptp.cons @t1 tptp.nil)) % 234.93/235.18 (define @t19 () (tptp.app @t1 @t12)) % 234.93/235.18 (define @t20 () (tptp.frontsegP @t2 @t1)) % 234.93/235.18 (define @t21 () (tptp.ssList @t1)) % 234.93/235.18 (define @t22 () (tptp.app @t12 @t1)) % 234.93/235.18 (define @t23 () (tptp.rearsegP @t2 @t1)) % 234.93/235.18 (define @t24 () (tptp.app @t22 @t10)) % 234.93/235.18 (define @t25 () (and @t13 (= @t24 @t2))) % 234.93/235.18 (define @t26 () (exists @t14 @t25)) % 234.93/235.18 (define @t27 () (and @t15 @t26)) % 234.93/235.18 (define @t28 () (exists @t16 @t27)) % 234.93/235.18 (define @t29 () (tptp.segmentP @t2 @t1)) % 234.93/235.18 (define @t30 () (= @t29 @t28)) % 234.93/235.18 (define @t31 () (=> @t21 @t30)) % 234.93/235.18 (define @t32 () (forall @t7 @t31)) % 234.93/235.18 (define @t33 () (=> @t17 @t32)) % 234.93/235.18 (define @t34 () (forall @t9 @t33)) % 234.93/235.18 (define @t35 () (tptp.leq @t12 @t1)) % 234.93/235.18 (define @t36 () (tptp.leq @t1 @t12)) % 234.93/235.18 (define @t37 () (@var "Z" $$unsorted)) % 234.93/235.18 (define @t38 () (@var "Y" $$unsorted)) % 234.93/235.18 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 234.93/235.18 (define @t40 () (tptp.ssList @t37)) % 234.93/235.18 (define @t41 () (@list @t37)) % 234.93/235.18 (define @t42 () (tptp.ssList @t38)) % 234.93/235.18 (define @t43 () (@list @t38)) % 234.93/235.18 (define @t44 () (tptp.ssItem @t12)) % 234.93/235.18 (define @t45 () (tptp.lt @t1 @t12)) % 234.93/235.18 (define @t46 () (tptp.strictorderedP @t2)) % 234.93/235.18 (define @t47 () (= @t1 @t12)) % 234.93/235.18 (define @t48 () (tptp.cons @t1 @t2)) % 234.93/235.18 (define @t49 () (= @t1 @t2)) % 234.93/235.18 (define @t50 () (tptp.cons @t12 @t1)) % 234.93/235.18 (define @t51 () (= tptp.nil @t2)) % 234.93/235.18 (define @t52 () (tptp.hd @t2)) % 234.93/235.18 (define @t53 () (not @t51)) % 234.93/235.18 (define @t54 () (tptp.tl @t2)) % 234.93/235.18 (define @t55 () (tptp.app @t2 @t1)) % 234.93/235.18 (define @t56 () (tptp.ssList @t55)) % 234.93/235.18 (define @t57 () (forall @t7 (=> @t21 @t56))) % 234.93/235.18 (define @t58 () (=> @t17 @t57)) % 234.93/235.18 (define @t59 () (forall @t9 @t58)) % 234.93/235.18 (define @t60 () (tptp.app @t1 @t2)) % 234.93/235.18 (define @t61 () (tptp.leq @t1 @t2)) % 234.93/235.18 (define @t62 () (tptp.leq @t2 @t1)) % 234.93/235.18 (define @t63 () (tptp.geq @t2 @t1)) % 234.93/235.18 (define @t64 () (tptp.lt @t1 @t2)) % 234.93/235.18 (define @t65 () (tptp.lt @t2 @t1)) % 234.93/235.18 (define @t66 () (tptp.lt @t2 @t12)) % 234.93/235.18 (define @t67 () (tptp.gt @t2 @t1)) % 234.93/235.18 (define @t68 () (tptp.memberP @t12 @t2)) % 234.93/235.18 (define @t69 () (tptp.memberP @t1 @t2)) % 234.93/235.18 (define @t70 () (= (tptp.memberP @t19 @t2) (or @t69 @t68))) % 234.93/235.18 (define @t71 () (forall @t16 (=> @t15 @t70))) % 234.93/235.18 (define @t72 () (=> @t21 @t71)) % 234.93/235.18 (define @t73 () (forall @t7 @t72)) % 234.93/235.18 (define @t74 () (=> @t8 @t73)) % 234.93/235.18 (define @t75 () (forall @t9 @t74)) % 234.93/235.18 (define @t76 () (tptp.app @t12 @t2)) % 234.93/235.18 (define @t77 () (tptp.segmentP @t1 @t12)) % 234.93/235.18 (define @t78 () (tptp.segmentP @t1 @t2)) % 234.93/235.18 (define @t79 () (tptp.cons @t2 tptp.nil)) % 234.93/235.18 (define @t80 () (tptp.hd @t1)) % 234.93/235.18 (define @t81 () (= tptp.nil @t1)) % 234.93/235.18 (define @t82 () (not @t81)) % 234.93/235.18 (define @t83 () (tptp.cons @t2 @t1)) % 234.93/235.18 (define @t84 () (= @t12 @t2)) % 234.93/235.18 (define @t85 () (tptp.memberP @t1 @t37)) % 234.93/235.18 (define @t86 () (not (tptp.memberP @t2 @t37))) % 234.93/235.18 (define @t87 () (or @t86 @t85)) % 234.93/235.18 (define @t88 () (tptp.ssItem @t37)) % 234.93/235.18 (define @t89 () (forall @t41 (=> @t88 @t87))) % 234.93/235.18 (define @t90 () (tptp.strictorderedP @t38)) % 234.93/235.18 (define @t91 () (tptp.segmentP @t38 @t12)) % 234.93/235.18 (define @t92 () (tptp.segmentP @t10 @t38)) % 234.93/235.18 (define @t93 () (tptp.neq @t12 @t38)) % 234.93/235.18 (define @t94 () (and @t42 @t93 @t92 @t91 @t90)) % 234.93/235.18 (define @t95 () (exists @t43 @t94)) % 234.93/235.18 (define @t96 () (not (tptp.strictorderedP @t12))) % 234.93/235.18 (define @t97 () (not (tptp.segmentP @t10 @t12))) % 234.93/235.18 (define @t98 () (not (= @t2 @t12))) % 234.93/235.18 (define @t99 () (not (= @t1 @t10))) % 234.93/235.18 (define @t100 () (or @t99 @t98 @t97 @t96 @t95 @t89)) % 234.93/235.18 (define @t101 () (=> @t13 @t100)) % 234.93/235.18 (define @t102 () (forall @t14 @t101)) % 234.93/235.18 (define @t103 () (=> @t15 @t102)) % 234.93/235.18 (define @t104 () (forall @t16 @t103)) % 234.93/235.18 (define @t105 () (=> @t21 @t104)) % 234.93/235.18 (define @t106 () (forall @t7 @t105)) % 234.93/235.18 (define @t107 () (=> @t17 @t106)) % 234.93/235.18 (define @t108 () (forall @t9 @t107)) % 234.93/235.18 (define @t109 () (not @t108)) % 234.93/235.18 (define @t110 () (@var "BOUND_VARIABLE_11006" $$unsorted)) % 234.93/235.18 (define @t111 () (@var "BOUND_VARIABLE_11004" $$unsorted)) % 234.93/235.18 (define @t112 () (tptp.memberP @t111 @t110)) % 234.93/235.18 (define @t113 () (not (tptp.memberP @t2 @t110))) % 234.93/235.18 (define @t114 () (not (tptp.ssItem @t110))) % 234.93/235.18 (define @t115 () (not @t90)) % 234.93/235.18 (define @t116 () (not (tptp.segmentP @t38 @t2))) % 234.93/235.18 (define @t117 () (not (tptp.neq @t2 @t38))) % 234.93/235.18 (define @t118 () (not @t42)) % 234.93/235.18 (define @t119 () (not (forall @t43 (or @t118 @t117 (not (tptp.segmentP @t111 @t38)) @t116 @t115)))) % 234.93/235.18 (define @t120 () (not (tptp.segmentP @t111 @t2))) % 234.93/235.18 (define @t121 () (not (tptp.ssList @t111))) % 234.93/235.18 (define @t122 () (not @t46)) % 234.93/235.18 (define @t123 () (not @t17)) % 234.93/235.18 (define @t124 () (or @t123 @t122 @t121 @t120 @t119 @t114 @t113 @t112)) % 234.93/235.18 (define @t125 () (or @t121 @t120 @t119 @t114 @t113 @t112)) % 234.93/235.18 (define @t126 () (or @t123 @t122 @t125)) % 234.93/235.18 (define @t127 () (@list @t2 @t111 @t110)) % 234.93/235.18 (define @t128 () (forall @t127 @t126)) % 234.93/235.18 (define @t129 () (@list @t111 @t110)) % 234.93/235.18 (define @t130 () (forall @t129 @t126)) % 234.93/235.18 (define @t131 () (forall @t129 @t125)) % 234.93/235.18 (define @t132 () (@var "BOUND_VARIABLE_10987" $$unsorted)) % 234.93/235.18 (define @t133 () (or @t123 @t122 @t131)) % 234.93/235.18 (define @t134 () (tptp.memberP @t1 @t132)) % 234.93/235.18 (define @t135 () (not (tptp.memberP @t2 @t132))) % 234.93/235.18 (define @t136 () (not (tptp.ssItem @t132))) % 234.93/235.18 (define @t137 () (not (tptp.segmentP @t1 @t38))) % 234.93/235.18 (define @t138 () (not (forall @t43 (or @t118 @t117 @t137 @t116 @t115)))) % 234.93/235.18 (define @t139 () (not @t78)) % 234.93/235.18 (define @t140 () (not @t21)) % 234.93/235.18 (define @t141 () (or @t140 @t139 @t138 @t136 @t135 @t134)) % 234.93/235.18 (define @t142 () (@list @t1 @t132)) % 234.93/235.18 (define @t143 () (or @t123 @t122 (forall @t142 @t141))) % 234.93/235.18 (define @t144 () (or @t136 @t135 @t134)) % 234.93/235.18 (define @t145 () (or @t140 @t144 @t139 @t138)) % 234.93/235.18 (define @t146 () (forall @t142 @t145)) % 234.93/235.18 (define @t147 () (@list @t132)) % 234.93/235.18 (define @t148 () (forall @t147 @t145)) % 234.93/235.18 (define @t149 () (forall @t147 @t144)) % 234.93/235.18 (define @t150 () (or @t140 @t149 @t139 @t138)) % 234.93/235.18 (define @t151 () (not @t88)) % 234.93/235.18 (define @t152 () (or @t151 @t86 @t85)) % 234.93/235.18 (define @t153 () (forall @t41 @t152)) % 234.93/235.18 (define @t154 () (or @t140 @t153 @t139 @t138)) % 234.93/235.18 (define @t155 () (forall @t7 @t154)) % 234.93/235.18 (define @t156 () (or @t123 @t122 @t155)) % 234.93/235.18 (define @t157 () (or @t123 @t122 @t154)) % 234.93/235.18 (define @t158 () (or @t140 @t153 @t123 @t122 @t139 @t138)) % 234.93/235.18 (define @t159 () (or @t153 @t140 @t123 @t122 @t139 @t138)) % 234.93/235.18 (define @t160 () (or @t123 @t122 @t139 @t138)) % 234.93/235.18 (define @t161 () (not (= @t2 @t2))) % 234.93/235.18 (define @t162 () (or @t123 @t161 @t122 @t139 @t138)) % 234.93/235.18 (define @t163 () (not @t91)) % 234.93/235.18 (define @t164 () (not @t93)) % 234.93/235.18 (define @t165 () (not (forall @t43 (or @t118 @t164 @t137 @t163 @t115)))) % 234.93/235.18 (define @t166 () (not @t77)) % 234.93/235.18 (define @t167 () (not @t15)) % 234.93/235.18 (define @t168 () (or @t98 @t167 @t98 @t96 @t166 @t165)) % 234.93/235.18 (define @t169 () (or @t167 @t98 @t96 @t166 @t165)) % 234.93/235.18 (define @t170 () (forall @t16 @t169)) % 234.93/235.18 (define @t171 () (or @t153 @t140 @t170)) % 234.93/235.18 (define @t172 () (or @t153 @t140 @t169)) % 234.93/235.18 (define @t173 () (or @t167 @t98 @t96 @t153 @t140 @t166 @t165)) % 234.93/235.18 (define @t174 () (or @t98 @t96 @t153 @t140 @t166 @t165)) % 234.93/235.18 (define @t175 () (or @t140 @t166 @t165)) % 234.93/235.18 (define @t176 () (not (= @t1 @t1))) % 234.93/235.18 (define @t177 () (or @t140 @t176 @t166 @t165)) % 234.93/235.18 (define @t178 () (not @t92)) % 234.93/235.18 (define @t179 () (or @t118 @t164 @t178 @t163 @t115)) % 234.93/235.18 (define @t180 () (not (forall @t43 @t179))) % 234.93/235.18 (define @t181 () (not @t13)) % 234.93/235.18 (define @t182 () (or @t99 @t181 @t99 @t97 @t180)) % 234.93/235.18 (define @t183 () (or @t181 @t99 @t97 @t180)) % 234.93/235.18 (define @t184 () (forall @t14 @t183)) % 234.93/235.18 (define @t185 () (or @t98 @t96 @t153 @t184)) % 234.93/235.18 (define @t186 () (or @t98 @t96 @t153 @t183)) % 234.93/235.18 (define @t187 () (or @t181 @t99 @t98 @t97 @t96 @t180 @t153)) % 234.93/235.18 (define @t188 () (or @t99 @t98 @t97 @t96 @t180 @t153)) % 234.93/235.18 (define @t189 () (forall @t43 (not @t94))) % 234.93/235.18 (define @t190 () (not @t189)) % 234.93/235.18 (define @t191 () (forall @t127 @t124)) % 234.93/235.18 (define @t192 () (@quantifiers_skolemize @t191 0)) % 234.93/235.18 (define @t193 () (tptp.ssList @t192)) % 234.93/235.18 (define @t194 () (@quantifiers_skolemize @t191 2)) % 234.93/235.18 (define @t195 () (@quantifiers_skolemize @t191 1)) % 234.93/235.18 (define @t196 () (tptp.memberP @t195 @t194)) % 234.93/235.18 (define @t197 () (tptp.memberP @t192 @t194)) % 234.93/235.18 (define @t198 () (not @t197)) % 234.93/235.18 (define @t199 () (tptp.ssItem @t194)) % 234.93/235.18 (define @t200 () (not @t199)) % 234.93/235.18 (define @t201 () (tptp.segmentP @t195 @t192)) % 234.93/235.18 (define @t202 () (not @t201)) % 234.93/235.18 (define @t203 () (tptp.ssList @t195)) % 234.93/235.18 (define @t204 () (not @t203)) % 234.93/235.18 (define @t205 () (not @t193)) % 234.93/235.18 (define @t206 () (or @t205 (not (tptp.strictorderedP @t192)) @t204 @t202 (not (forall @t43 (or @t118 (not (tptp.neq @t192 @t38)) (not (tptp.segmentP @t195 @t38)) (not (tptp.segmentP @t38 @t192)) @t115))) @t200 @t198 @t196)) % 234.93/235.18 (define @t207 () (@list true)) % 234.93/235.18 (define @t208 () (@list @t206)) % 234.93/235.18 (define @t209 () (@var "BOUND_VARIABLE_8386" $$unsorted)) % 234.93/235.18 (define @t210 () (@var "BOUND_VARIABLE_8409" $$unsorted)) % 234.93/235.18 (define @t211 () (not (tptp.ssList @t209))) % 234.93/235.18 (define @t212 () (@list @t12 @t209)) % 234.93/235.18 (define @t213 () (= (tptp.segmentP @t2 @t210) (not (forall @t212 (or @t167 @t211 (not (= @t2 (tptp.app (tptp.app @t12 @t210) @t209)))))))) % 234.93/235.18 (define @t214 () (not (tptp.ssList @t210))) % 234.93/235.18 (define @t215 () (or @t214 @t213)) % 234.93/235.18 (define @t216 () (or @t123 @t215)) % 234.93/235.18 (define @t217 () (forall (@list @t2 @t210) @t216)) % 234.93/235.18 (define @t218 () (@list @t210)) % 234.93/235.18 (define @t219 () (forall @t218 @t216)) % 234.93/235.18 (define @t220 () (forall @t218 @t215)) % 234.93/235.18 (define @t221 () (@list @t1)) % 234.93/235.18 (define @t222 () (or @t123 @t220)) % 234.93/235.18 (define @t223 () (not (= @t2 (tptp.app @t22 @t209)))) % 234.93/235.18 (define @t224 () (or @t167 @t211 @t223)) % 234.93/235.18 (define @t225 () (= @t29 (not (forall @t212 @t224)))) % 234.93/235.18 (define @t226 () (forall @t7 (or @t140 @t225))) % 234.93/235.18 (define @t227 () (or @t211 @t223)) % 234.93/235.18 (define @t228 () (or @t167 @t227)) % 234.93/235.18 (define @t229 () (forall @t212 @t228)) % 234.93/235.18 (define @t230 () (@list @t209)) % 234.93/235.18 (define @t231 () (forall @t230 @t228)) % 234.93/235.18 (define @t232 () (forall @t230 @t227)) % 234.93/235.18 (define @t233 () (or @t167 @t232)) % 234.93/235.18 (define @t234 () (= @t2 @t24)) % 234.93/235.18 (define @t235 () (forall @t14 (or @t181 (not @t234)))) % 234.93/235.18 (define @t236 () (not @t235)) % 234.93/235.18 (define @t237 () (and @t15 @t236)) % 234.93/235.18 (define @t238 () (forall @t16 (not @t237))) % 234.93/235.18 (define @t239 () (not @t238)) % 234.93/235.18 (define @t240 () (and @t13 @t234)) % 234.93/235.18 (define @t241 () (forall @t14 (not @t240))) % 234.93/235.18 (define @t242 () (not @t241)) % 234.93/235.18 (define @t243 () (forall @t212 (or @t167 @t211 (not (= @t195 (tptp.app (tptp.app @t12 @t192) @t209)))))) % 234.93/235.18 (define @t244 () (not @t243)) % 234.93/235.18 (define @t245 () (= @t201 @t244)) % 234.93/235.18 (define @t246 () (or @t204 @t205 @t245)) % 234.93/235.18 (define @t247 () (@list false false false)) % 234.93/235.18 (define @t248 () (@quantifiers_skolemize @t243 0)) % 234.93/235.18 (define @t249 () (tptp.ssList @t248)) % 234.93/235.18 (define @t250 () (@quantifiers_skolemize @t243 1)) % 234.93/235.18 (define @t251 () (tptp.app @t248 @t192)) % 234.93/235.18 (define @t252 () (tptp.app @t251 @t250)) % 234.93/235.18 (define @t253 () (= @t195 @t252)) % 234.93/235.18 (define @t254 () (not @t253)) % 234.93/235.18 (define @t255 () (tptp.ssList @t250)) % 234.93/235.18 (define @t256 () (not @t255)) % 234.93/235.18 (define @t257 () (not @t249)) % 234.93/235.18 (define @t258 () (or @t257 @t256 @t254)) % 234.93/235.18 (define @t259 () (@list @t258)) % 234.93/235.18 (define @t260 () (@var "BOUND_VARIABLE_9657" $$unsorted)) % 234.93/235.18 (define @t261 () (@var "BOUND_VARIABLE_9655" $$unsorted)) % 234.93/235.18 (define @t262 () (= (tptp.memberP (tptp.app @t261 @t260) @t2) (or (tptp.memberP @t261 @t2) (tptp.memberP @t260 @t2)))) % 234.93/235.18 (define @t263 () (not (tptp.ssList @t260))) % 234.93/235.18 (define @t264 () (not (tptp.ssList @t261))) % 234.93/235.18 (define @t265 () (not @t8)) % 234.93/235.18 (define @t266 () (or @t264 @t263 @t262)) % 234.93/235.18 (define @t267 () (or @t265 @t266)) % 234.93/235.18 (define @t268 () (forall (@list @t2 @t261 @t260) @t267)) % 234.93/235.18 (define @t269 () (@list @t261 @t260)) % 234.93/235.18 (define @t270 () (forall @t269 @t267)) % 234.93/235.18 (define @t271 () (forall @t269 @t266)) % 234.93/235.18 (define @t272 () (@var "BOUND_VARIABLE_9636" $$unsorted)) % 234.93/235.18 (define @t273 () (or @t265 @t271)) % 234.93/235.18 (define @t274 () (= (tptp.memberP (tptp.app @t1 @t272) @t2) (or @t69 (tptp.memberP @t272 @t2)))) % 234.93/235.18 (define @t275 () (not (tptp.ssList @t272))) % 234.93/235.18 (define @t276 () (or @t140 @t275 @t274)) % 234.93/235.18 (define @t277 () (@list @t1 @t272)) % 234.93/235.18 (define @t278 () (forall @t277 @t276)) % 234.93/235.18 (define @t279 () (or @t275 @t274)) % 234.93/235.18 (define @t280 () (or @t140 @t279)) % 234.93/235.18 (define @t281 () (forall @t277 @t280)) % 234.93/235.18 (define @t282 () (@list @t272)) % 234.93/235.18 (define @t283 () (forall @t282 @t280)) % 234.93/235.18 (define @t284 () (forall @t282 @t279)) % 234.93/235.18 (define @t285 () (or @t140 @t284)) % 234.93/235.18 (define @t286 () (forall @t16 (or @t167 @t70))) % 234.93/235.18 (define @t287 () (or (tptp.memberP @t248 @t194) @t197)) % 234.93/235.18 (define @t288 () (@var "BOUND_VARIABLE_9369" $$unsorted)) % 234.93/235.18 (define @t289 () (tptp.ssList (tptp.app @t2 @t288))) % 234.93/235.18 (define @t290 () (not (tptp.ssList @t288))) % 234.93/235.18 (define @t291 () (or @t290 @t289)) % 234.93/235.18 (define @t292 () (or @t123 @t291)) % 234.93/235.18 (define @t293 () (forall (@list @t2 @t288) @t292)) % 234.93/235.18 (define @t294 () (@list @t288)) % 234.93/235.18 (define @t295 () (forall @t294 @t292)) % 234.93/235.18 (define @t296 () (forall @t294 @t291)) % 234.93/235.18 (define @t297 () (or @t123 @t296)) % 234.93/235.18 (define @t298 () (forall @t7 (or @t140 @t56))) % 234.93/235.18 (define @t299 () (tptp.ssList @t251)) % 234.93/235.18 (define @t300 () (or @t257 @t205 @t299)) % 234.93/235.18 (define @t301 () (tptp.memberP @t251 @t194)) % 234.93/235.18 (define @t302 () (or @t301 (tptp.memberP @t250 @t194))) % 234.93/235.18 (define @t303 () (tptp.memberP @t252 @t194)) % 234.93/235.18 (define @t304 () (= @t303 @t302)) % 234.93/235.18 (define @t305 () (not @t299)) % 234.93/235.18 (define @t306 () (or @t200 @t305 @t256 @t304)) % 234.93/235.18 (define @t307 () (not @t302)) % 234.93/235.18 (define @t308 () (@list true false)) % 234.93/235.18 (define @t309 () (= @t301 @t287)) % 234.93/235.18 (define @t310 () (not @t309)) % 234.93/235.18 (define @t311 () (or @t200 @t257 @t205 @t309)) % 234.93/235.18 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 234.93/235.18 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 234.93/235.18 (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))))))))))) % 234.93/235.18 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 234.93/235.18 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 234.93/235.18 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 234.93/235.18 (assume @p7 @t34) % 234.93/235.18 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not (and @t36 @t35))))))))))))))))) % 234.93/235.18 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t36 @t35)))))))))))))))) % 234.93/235.18 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t45 (tptp.lt @t12 @t1))))))))))))))))) % 234.93/235.18 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t36))))))))))))))) % 234.93/235.18 (assume @p12 (forall @t9 (=> @t17 (= @t46 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t45))))))))))))))) % 234.93/235.18 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not @t47)))))))))))))))) % 234.93/235.18 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t38))) @t2) @t47))))))))))))) % 234.93/235.18 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 234.93/235.18 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t48)))))) % 234.93/235.18 (assume @p17 (tptp.ssList tptp.nil)) % 234.93/235.18 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t48 @t2))))))) % 234.93/235.18 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t49))))))))))) % 234.93/235.18 (assume @p20 (forall @t9 (=> @t17 (or @t51 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t50 @t2))))))))) % 234.93/235.18 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t48))))))) % 234.93/235.18 (assume @p22 (forall @t9 (=> @t17 (=> @t53 (tptp.ssItem @t52))))) % 234.93/235.18 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t48) @t1)))))) % 234.93/235.18 (assume @p24 (forall @t9 (=> @t17 (=> @t53 (tptp.ssList @t54))))) % 234.93/235.18 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t48) @t2)))))) % 234.93/235.18 (assume @p26 @t59) % 234.93/235.18 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t60) (tptp.app @t50 @t2))))))))) % 234.93/235.18 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 234.93/235.18 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 @t61) @t3)))))) % 234.93/235.18 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t36) (tptp.leq @t2 @t12))))))))) % 234.93/235.18 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 234.93/235.18 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 @t61)))))) % 234.93/235.18 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (not @t64))))))) % 234.93/235.18 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t45) @t66)))))))) % 234.93/235.18 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 @t64)))))) % 234.93/235.18 (assume @p36 @t75) % 234.93/235.18 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t68))))))))) % 234.93/235.18 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 234.93/235.18 (assume @p39 (not (tptp.singletonP tptp.nil))) % 234.93/235.18 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 234.93/235.18 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 234.93/235.18 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 234.93/235.18 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 234.93/235.18 (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)))))))))))) % 234.93/235.18 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 234.93/235.18 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t51)))) % 234.93/235.18 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 234.93/235.18 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 234.93/235.18 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 234.93/235.18 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t76 @t1))))))))) % 234.93/235.18 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 234.93/235.18 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t51)))) % 234.93/235.18 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 @t77) (tptp.segmentP @t2 @t12))))))))) % 234.93/235.18 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t78) @t3)))))) % 234.93/235.18 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 234.93/235.18 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t76 @t10) @t1))))))))))) % 234.93/235.18 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 234.93/235.18 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t51)))) % 234.93/235.18 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t79)))) % 234.93/235.18 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 234.93/235.18 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t79)))) % 234.93/235.18 (assume @p62 (tptp.totalorderP tptp.nil)) % 234.93/235.18 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t79)))) % 234.93/235.18 (assume @p64 (tptp.strictorderP tptp.nil)) % 234.93/235.18 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t79)))) % 234.93/235.18 (assume @p66 (tptp.totalorderedP tptp.nil)) % 234.93/235.18 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t83) (or @t81 (and @t82 (tptp.totalorderedP @t1) (tptp.leq @t2 @t80))))))))) % 234.93/235.18 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t79)))) % 234.93/235.18 (assume @p69 (tptp.strictorderedP tptp.nil)) % 234.93/235.18 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t83) (or @t81 (and @t82 (tptp.strictorderedP @t1) (tptp.lt @t2 @t80))))))))) % 234.93/235.18 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t79)))) % 234.93/235.18 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 234.93/235.18 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t79)))) % 234.93/235.18 (assume @p74 (tptp.equalelemsP tptp.nil)) % 234.93/235.18 (assume @p75 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t6 (= @t52 @t1))))))) % 234.93/235.18 (assume @p76 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t21 (= @t54 @t1))))))) % 234.93/235.18 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t82 @t53 (= @t80 @t52) (= (tptp.tl @t1) @t54)) @t49)))))) % 234.93/235.18 (assume @p78 (forall @t9 (=> @t17 (=> @t53 (= (tptp.cons @t52 @t54) @t2))))) % 234.93/235.18 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t55) @t84)))))))) % 234.93/235.18 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t60) @t84)))))))) % 234.93/235.18 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t48 (tptp.app @t18 @t2))))))) % 234.93/235.18 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t55 @t12) (tptp.app @t2 @t19))))))))) % 234.93/235.18 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t55) (and @t81 @t51))))))) % 234.93/235.18 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 234.93/235.18 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t53 (= (tptp.hd @t55) @t52))))))) % 234.93/235.18 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t53 (= (tptp.tl @t55) (tptp.app @t54 @t1)))))))) % 234.93/235.18 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t63 (tptp.geq @t1 @t2)) @t3)))))) % 234.93/235.18 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t63 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 234.93/235.18 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 234.93/235.18 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 234.93/235.18 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t45) @t66)))))))) % 234.93/235.18 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (or @t3 @t65))))))) % 234.93/235.18 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 (and @t4 @t62))))))) % 234.93/235.18 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (not (tptp.gt @t1 @t2)))))))) % 234.93/235.18 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t67 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 234.93/235.18 (assume @p96 @t109) % 234.93/235.18 (assume @p97 true) % 234.93/235.18 (step @p98 :rule aci_norm :args ((= @t126 @t124))) % 234.93/235.18 (step @p99 :rule cong :premises (@p98) :args (@t128)) % 234.93/235.18 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t130) @t128))) % 234.93/235.18 (step @p101 :rule alpha_equiv :args (@t131 (@list @t111 @t110) (@list @t1 @t132))) % 234.93/235.18 (step @p102 :rule refl :args (@t122)) % 234.93/235.18 (step @p103 :rule refl :args (@t123)) % 234.93/235.18 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t133)) % 234.93/235.18 (step @p105 :rule quant-miniscope-or :args ((= @t130 @t133))) % 234.93/235.18 (step @p106 :rule trans :premises (@p105 @p104)) % 234.93/235.18 (step @p107 :rule symm :premises (@p106)) % 234.93/235.18 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 @t143))) % 234.93/235.18 (step @p109 :rule trans :premises (@p108 @p100)) % 234.93/235.18 (step @p110 :rule trans :premises (@p109 @p99)) % 234.93/235.18 (step @p111 :rule aci_norm :args ((= (or @t123 @t143) @t143))) % 234.93/235.18 (step @p112 :rule bool-impl-elim :args (@t17 @t143)) % 234.93/235.18 (step @p113 :rule trans :premises (@p112 @p111)) % 234.93/235.18 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t17 @t143)))) % 234.93/235.18 (step @p115 :rule trans :premises (@p114 @p110)) % 234.93/235.18 (step @p116 :rule aci_norm :args ((= @t145 @t141))) % 234.93/235.18 (step @p117 :rule cong :premises (@p116) :args (@t146)) % 234.93/235.18 (step @p118 :rule quant-merge-prenex :args ((= (forall @t7 @t148) @t146))) % 234.93/235.18 (step @p119 :rule refl :args (@t138)) % 234.93/235.18 (step @p120 :rule refl :args (@t139)) % 234.93/235.18 (step @p121 :rule alpha_equiv :args (@t149 (@list @t132) (@list @t37))) % 234.93/235.18 (step @p122 :rule refl :args (@t140)) % 234.93/235.18 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120 @p119) :args (@t150)) % 234.93/235.18 (step @p124 :rule quant-miniscope-or :args ((= @t148 @t150))) % 234.93/235.18 (step @p125 :rule trans :premises (@p124 @p123)) % 234.93/235.18 (step @p126 :rule symm :premises (@p125)) % 234.93/235.18 (step @p127 :rule cong :premises (@p126) :args (@t155)) % 234.93/235.18 (step @p128 :rule trans :premises (@p127 @p118)) % 234.93/235.18 (step @p129 :rule trans :premises (@p128 @p117)) % 234.93/235.18 (step @p130 :rule refl :args (@t122)) % 234.93/235.18 (step @p131 :rule refl :args (@t123)) % 234.93/235.18 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args (@t156)) % 234.93/235.18 (step @p133 :rule quant-miniscope-or :args ((= (forall @t7 @t157) @t156))) % 234.93/235.18 (step @p134 :rule aci_norm :args ((= @t158 @t157))) % 234.93/235.18 (step @p135 :rule cong :premises (@p134) :args ((forall @t7 @t158))) % 234.93/235.18 (step @p136 :rule trans :premises (@p135 @p133)) % 234.93/235.18 (step @p137 :rule trans :premises (@p136 @p132)) % 234.93/235.18 (step @p138 :rule aci_norm :args ((= (or @t140 @t159) @t158))) % 234.93/235.18 (step @p139 :rule bool-impl-elim :args (@t21 @t159)) % 234.93/235.18 (step @p140 :rule trans :premises (@p139 @p138)) % 234.93/235.18 (step @p141 :rule cong :premises (@p140) :args ((forall @t7 (=> @t21 @t159)))) % 234.93/235.18 (step @p142 :rule trans :premises (@p141 @p137)) % 234.93/235.18 (step @p143 :rule aci_norm :args ((= (or @t153 @t140 @t160) @t159))) % 234.93/235.18 (step @p144 :rule aci_norm :args ((= (or @t123 false @t122 @t139 @t138) @t160))) % 234.93/235.18 (step @p145 :rule refl :args (@t138)) % 234.93/235.18 (step @p146 :rule refl :args (@t139)) % 234.93/235.18 (step @p147 :rule evaluate :args ((not true))) % 234.93/235.18 (step @p148 :rule eq-refl :args (@t2)) % 234.93/235.18 (step @p149 :rule cong :premises (@p148) :args (@t161)) % 234.93/235.18 (step @p150 :rule trans :premises (@p149 @p147)) % 234.93/235.18 (step @p151 :rule nary_cong :premises (@p131 @p150 @p130 @p146 @p145) :args (@t162)) % 234.93/235.18 (step @p152 :rule trans :premises (@p151 @p144)) % 234.93/235.18 (step @p153 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t84) @t167 @t98 @t96 @t166 @t165)) @t162))) % 234.93/235.18 (step @p154 :rule refl :args (@t165)) % 234.93/235.18 (step @p155 :rule refl :args (@t166)) % 234.93/235.18 (step @p156 :rule refl :args (@t96)) % 234.93/235.18 (step @p157 :rule refl :args (@t98)) % 234.93/235.18 (step @p158 :rule refl :args (@t167)) % 234.93/235.18 (step @p159 :rule eq-symm :args (@t2 @t12)) % 234.93/235.18 (step @p160 :rule cong :premises (@p159) :args (@t98)) % 234.93/235.18 (step @p161 :rule nary_cong :premises (@p160 @p158 @p157 @p156 @p155 @p154) :args (@t168)) % 234.93/235.18 (step @p162 :rule aci_norm :args ((= @t169 @t168))) % 234.93/235.18 (step @p163 :rule trans :premises (@p162 @p161)) % 234.93/235.18 (step @p164 :rule cong :premises (@p163) :args (@t170)) % 234.93/235.18 (step @p165 :rule trans :premises (@p164 @p153)) % 234.93/235.18 (step @p166 :rule trans :premises (@p165 @p152)) % 234.93/235.18 (step @p167 :rule refl :args (@t140)) % 234.93/235.18 (step @p168 :rule refl :args (@t153)) % 234.93/235.18 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166) :args (@t171)) % 234.93/235.18 (step @p170 :rule trans :premises (@p169 @p143)) % 234.93/235.18 (step @p171 :rule quant-miniscope-or :args ((= (forall @t16 @t172) @t171))) % 234.93/235.18 (step @p172 :rule aci_norm :args ((= @t173 @t172))) % 234.93/235.18 (step @p173 :rule cong :premises (@p172) :args ((forall @t16 @t173))) % 234.93/235.18 (step @p174 :rule trans :premises (@p173 @p171)) % 234.93/235.18 (step @p175 :rule trans :premises (@p174 @p170)) % 234.93/235.18 (step @p176 :rule aci_norm :args ((= (or @t167 @t174) @t173))) % 234.93/235.18 (step @p177 :rule bool-impl-elim :args (@t15 @t174)) % 234.93/235.18 (step @p178 :rule trans :premises (@p177 @p176)) % 234.93/235.18 (step @p179 :rule cong :premises (@p178) :args ((forall @t16 (=> @t15 @t174)))) % 234.93/235.18 (step @p180 :rule trans :premises (@p179 @p175)) % 234.93/235.18 (step @p181 :rule aci_norm :args ((= (or @t98 @t96 @t153 @t175) @t174))) % 234.93/235.18 (step @p182 :rule aci_norm :args ((= (or @t140 false @t166 @t165) @t175))) % 234.93/235.18 (step @p183 :rule refl :args (@t165)) % 234.93/235.18 (step @p184 :rule refl :args (@t166)) % 234.93/235.18 (step @p185 :rule eq-refl :args (@t1)) % 234.93/235.18 (step @p186 :rule cong :premises (@p185) :args (@t176)) % 234.93/235.18 (step @p187 :rule trans :premises (@p186 @p147)) % 234.93/235.18 (step @p188 :rule nary_cong :premises (@p167 @p187 @p184 @p183) :args (@t177)) % 234.93/235.18 (step @p189 :rule trans :premises (@p188 @p182)) % 234.93/235.18 (step @p190 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t181 @t99 @t97 @t180)) @t177))) % 234.93/235.18 (step @p191 :rule refl :args (@t180)) % 234.93/235.18 (step @p192 :rule refl :args (@t97)) % 234.93/235.18 (step @p193 :rule refl :args (@t99)) % 234.93/235.18 (step @p194 :rule refl :args (@t181)) % 234.93/235.18 (step @p195 :rule eq-symm :args (@t1 @t10)) % 234.93/235.18 (step @p196 :rule cong :premises (@p195) :args (@t99)) % 234.93/235.18 (step @p197 :rule nary_cong :premises (@p196 @p194 @p193 @p192 @p191) :args (@t182)) % 234.93/235.18 (step @p198 :rule aci_norm :args ((= @t183 @t182))) % 234.93/235.18 (step @p199 :rule trans :premises (@p198 @p197)) % 234.93/235.18 (step @p200 :rule cong :premises (@p199) :args (@t184)) % 234.93/235.18 (step @p201 :rule trans :premises (@p200 @p190)) % 234.93/235.18 (step @p202 :rule trans :premises (@p201 @p189)) % 234.93/235.18 (step @p203 :rule refl :args (@t96)) % 234.93/235.18 (step @p204 :rule refl :args (@t98)) % 234.93/235.18 (step @p205 :rule nary_cong :premises (@p204 @p203 @p168 @p202) :args (@t185)) % 234.93/235.18 (step @p206 :rule trans :premises (@p205 @p181)) % 234.93/235.18 (step @p207 :rule quant-miniscope-or :args ((= (forall @t14 @t186) @t185))) % 234.93/235.18 (step @p208 :rule aci_norm :args ((= @t187 @t186))) % 234.93/235.18 (step @p209 :rule cong :premises (@p208) :args ((forall @t14 @t187))) % 234.93/235.18 (step @p210 :rule trans :premises (@p209 @p207)) % 234.93/235.18 (step @p211 :rule trans :premises (@p210 @p206)) % 234.93/235.18 (step @p212 :rule aci_norm :args ((= (or @t181 @t188) @t187))) % 234.93/235.18 (step @p213 :rule bool-impl-elim :args (@t13 @t188)) % 234.93/235.18 (step @p214 :rule trans :premises (@p213 @p212)) % 234.93/235.18 (step @p215 :rule cong :premises (@p214) :args ((forall @t14 (=> @t13 @t188)))) % 234.93/235.18 (step @p216 :rule trans :premises (@p215 @p211)) % 234.93/235.18 (step @p217 :rule aci_norm :args ((= (or @t151 @t87) @t152))) % 234.93/235.18 (step @p218 :rule bool-impl-elim :args (@t88 @t87)) % 234.93/235.18 (step @p219 :rule trans :premises (@p218 @p217)) % 234.93/235.18 (step @p220 :rule cong :premises (@p219) :args (@t89)) % 234.93/235.18 (step @p221 :rule aci_norm :args ((= (or @t118 (or @t164 (or @t178 (or @t163 @t115)))) @t179))) % 234.93/235.18 (step @p222 :rule bool-and-de-morgan :args (@t91 @t90 true)) % 234.93/235.18 (step @p223 :rule refl :args (@t178)) % 234.93/235.18 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t178 (not (and @t91 @t90))))) % 234.93/235.18 (step @p225 :rule bool-and-de-morgan :args (@t92 @t91 (and @t90))) % 234.93/235.18 (step @p226 :rule trans :premises (@p225 @p224)) % 234.93/235.18 (step @p227 :rule refl :args (@t164)) % 234.93/235.18 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or @t164 (not (and @t92 @t91 @t90))))) % 234.93/235.18 (step @p229 :rule bool-and-de-morgan :args (@t93 @t92 (and @t91 @t90))) % 234.93/235.18 (step @p230 :rule trans :premises (@p229 @p228)) % 234.93/235.18 (step @p231 :rule refl :args (@t118)) % 234.93/235.18 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or @t118 (not (and @t93 @t92 @t91 @t90))))) % 234.93/235.18 (step @p233 :rule bool-and-de-morgan :args (@t42 @t93 (and @t92 @t91 @t90))) % 234.93/235.18 (step @p234 :rule trans :premises (@p233 @p232)) % 234.93/235.18 (step @p235 :rule trans :premises (@p234 @p221)) % 234.93/235.18 (step @p236 :rule cong :premises (@p235) :args (@t189)) % 234.93/235.18 (step @p237 :rule cong :premises (@p236) :args (@t190)) % 234.93/235.18 (step @p238 :rule exists-elim :args ((= @t95 @t190))) % 234.93/235.18 (step @p239 :rule trans :premises (@p238 @p237)) % 234.93/235.18 (step @p240 :rule refl :args (@t97)) % 234.93/235.18 (step @p241 :rule refl :args (@t99)) % 234.93/235.18 (step @p242 :rule nary_cong :premises (@p241 @p204 @p240 @p203 @p239 @p220) :args (@t100)) % 234.93/235.18 (step @p243 :rule refl :args (@t13)) % 234.93/235.18 (step @p244 :rule cong :premises (@p243 @p242) :args (@t101)) % 234.93/235.18 (step @p245 :rule cong :premises (@p244) :args (@t102)) % 234.93/235.18 (step @p246 :rule trans :premises (@p245 @p216)) % 234.93/235.18 (step @p247 :rule refl :args (@t15)) % 234.93/235.18 (step @p248 :rule cong :premises (@p247 @p246) :args (@t103)) % 234.93/235.18 (step @p249 :rule cong :premises (@p248) :args (@t104)) % 234.93/235.18 (step @p250 :rule trans :premises (@p249 @p180)) % 234.93/235.18 (step @p251 :rule refl :args (@t21)) % 234.93/235.18 (step @p252 :rule cong :premises (@p251 @p250) :args (@t105)) % 234.93/235.18 (step @p253 :rule cong :premises (@p252) :args (@t106)) % 234.93/235.18 (step @p254 :rule trans :premises (@p253 @p142)) % 234.93/235.18 (step @p255 :rule refl :args (@t17)) % 234.93/235.18 (step @p256 :rule cong :premises (@p255 @p254) :args (@t107)) % 234.93/235.18 (step @p257 :rule cong :premises (@p256) :args (@t108)) % 234.93/235.18 (step @p258 :rule trans :premises (@p257 @p115)) % 234.93/235.18 (step @p259 :rule cong :premises (@p258) :args (@t109)) % 234.93/235.18 (step @p260 :rule eq_resolve :premises (@p96 @p259)) % 234.93/235.18 (step @p261 :rule skolemize :premises (@p260)) % 234.93/235.18 (step @p262 :rule bool-double-not-elim :args (@t193)) % 234.93/235.18 (step @p263 :rule refl :args (@t206)) % 234.93/235.18 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((or @t206 (not @t205)))) % 234.93/235.18 (step @p265 :rule cnf_or_neg :args (@t206 0)) % 234.93/235.18 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 234.93/235.18 (step @p267 :rule reordering :premises (@p266) :args ((or @t193 @t206))) % 234.93/235.18 (step @p268 :rule chain_m_resolution :premises (@p267 @p261) :args (@t193 @t207 @t208)) % 234.93/235.18 (step @p269 :rule bool-double-not-elim :args (@t199)) % 234.93/235.18 (step @p270 :rule nary_cong :premises (@p263 @p269) :args ((or @t206 (not @t200)))) % 234.93/235.18 (step @p271 :rule cnf_or_neg :args (@t206 5)) % 234.93/235.18 (step @p272 :rule eq_resolve :premises (@p271 @p270)) % 234.93/235.18 (step @p273 :rule reordering :premises (@p272) :args ((or @t199 @t206))) % 234.93/235.18 (step @p274 :rule chain_m_resolution :premises (@p273 @p261) :args (@t199 @t207 @t208)) % 234.93/235.18 (step @p275 :rule aci_norm :args ((= @t216 (or @t123 @t214 @t213)))) % 234.93/235.18 (step @p276 :rule cong :premises (@p275) :args (@t217)) % 234.93/235.18 (step @p277 :rule quant-merge-prenex :args ((= (forall @t9 @t219) @t217))) % 234.93/235.18 (step @p278 :rule alpha_equiv :args (@t220 (@list @t210) @t221)) % 234.93/235.18 (step @p279 :rule nary_cong :premises (@p103 @p278) :args (@t222)) % 234.93/235.18 (step @p280 :rule quant-miniscope-or :args ((= @t219 @t222))) % 234.93/235.18 (step @p281 :rule trans :premises (@p280 @p279)) % 234.93/235.18 (step @p282 :rule symm :premises (@p281)) % 234.93/235.18 (step @p283 :rule cong :premises (@p282) :args ((forall @t9 (or @t123 @t226)))) % 234.93/235.18 (step @p284 :rule trans :premises (@p283 @p277)) % 234.93/235.18 (step @p285 :rule trans :premises (@p284 @p276)) % 234.93/235.18 (step @p286 :rule bool-impl-elim :args (@t17 @t226)) % 234.93/235.18 (step @p287 :rule cong :premises (@p286) :args ((forall @t9 (=> @t17 @t226)))) % 234.93/235.18 (step @p288 :rule trans :premises (@p287 @p285)) % 234.93/235.18 (step @p289 :rule bool-impl-elim :args (@t21 @t225)) % 234.93/235.18 (step @p290 :rule cong :premises (@p289) :args ((forall @t7 (=> @t21 @t225)))) % 234.93/235.18 (step @p291 :rule aci_norm :args ((= @t228 @t224))) % 234.93/235.18 (step @p292 :rule cong :premises (@p291) :args (@t229)) % 234.93/235.18 (step @p293 :rule quant-merge-prenex :args ((= (forall @t16 @t231) @t229))) % 234.93/235.18 (step @p294 :rule alpha_equiv :args (@t232 (@list @t209) (@list @t10))) % 234.93/235.18 (step @p295 :rule nary_cong :premises (@p158 @p294) :args (@t233)) % 234.93/235.18 (step @p296 :rule quant-miniscope-or :args ((= @t231 @t233))) % 234.93/235.18 (step @p297 :rule trans :premises (@p296 @p295)) % 234.93/235.18 (step @p298 :rule symm :premises (@p297)) % 234.93/235.18 (step @p299 :rule cong :premises (@p298) :args ((forall @t16 (or @t167 @t235)))) % 234.93/235.18 (step @p300 :rule trans :premises (@p299 @p293)) % 234.93/235.18 (step @p301 :rule trans :premises (@p300 @p292)) % 234.93/235.18 (step @p302 :rule bool-double-not-elim :args (@t235)) % 234.93/235.18 (step @p303 :rule nary_cong :premises (@p158 @p302) :args ((or @t167 (not @t236)))) % 234.93/235.18 (step @p304 :rule bool-and-de-morgan :args (@t15 @t236 true)) % 234.93/235.18 (step @p305 :rule trans :premises (@p304 @p303)) % 234.93/235.18 (step @p306 :rule cong :premises (@p305) :args (@t238)) % 234.93/235.18 (step @p307 :rule trans :premises (@p306 @p301)) % 234.93/235.18 (step @p308 :rule cong :premises (@p307) :args (@t239)) % 234.93/235.18 (step @p309 :rule exists-elim :args ((= (exists @t16 @t237) @t239))) % 234.93/235.18 (step @p310 :rule trans :premises (@p309 @p308)) % 234.93/235.18 (step @p311 :rule bool-and-de-morgan :args (@t13 @t234 true)) % 234.93/235.18 (step @p312 :rule cong :premises (@p311) :args (@t241)) % 234.93/235.18 (step @p313 :rule cong :premises (@p312) :args (@t242)) % 234.93/235.18 (step @p314 :rule exists-elim :args ((= (exists @t14 @t240) @t242))) % 234.93/235.18 (step @p315 :rule trans :premises (@p314 @p313)) % 234.93/235.18 (step @p316 :rule eq-symm :args (@t24 @t2)) % 234.93/235.18 (step @p317 :rule nary_cong :premises (@p243 @p316) :args (@t25)) % 234.93/235.18 (step @p318 :rule cong :premises (@p317) :args (@t26)) % 234.93/235.18 (step @p319 :rule trans :premises (@p318 @p315)) % 234.93/235.18 (step @p320 :rule nary_cong :premises (@p247 @p319) :args (@t27)) % 234.93/235.18 (step @p321 :rule cong :premises (@p320) :args (@t28)) % 234.93/235.18 (step @p322 :rule trans :premises (@p321 @p310)) % 234.93/235.18 (step @p323 :rule refl :args (@t29)) % 234.93/235.18 (step @p324 :rule cong :premises (@p323 @p322) :args (@t30)) % 234.93/235.18 (step @p325 :rule cong :premises (@p251 @p324) :args (@t31)) % 234.93/235.18 (step @p326 :rule cong :premises (@p325) :args (@t32)) % 234.93/235.18 (step @p327 :rule trans :premises (@p326 @p290)) % 234.93/235.18 (step @p328 :rule cong :premises (@p255 @p327) :args (@t33)) % 234.93/235.18 (step @p329 :rule cong :premises (@p328) :args (@t34)) % 234.93/235.18 (step @p330 :rule trans :premises (@p329 @p288)) % 234.93/235.18 (step @p331 :rule eq_resolve :premises (@p7 @p330)) % 234.93/235.18 (step @p332 :rule instantiate :premises (@p331) :args ((@list @t195 @t192))) % 234.93/235.18 (step @p333 :rule bool-double-not-elim :args (@t203)) % 234.93/235.18 (step @p334 :rule nary_cong :premises (@p263 @p333) :args ((or @t206 (not @t204)))) % 234.93/235.18 (step @p335 :rule cnf_or_neg :args (@t206 2)) % 234.93/235.18 (step @p336 :rule eq_resolve :premises (@p335 @p334)) % 234.93/235.18 (step @p337 :rule reordering :premises (@p336) :args ((or @t203 @t206))) % 234.93/235.18 (step @p338 :rule chain_m_resolution :premises (@p337 @p261) :args (@t203 @t207 @t208)) % 234.93/235.18 (step @p339 :rule cnf_or_pos :args (@t246)) % 234.93/235.18 (step @p340 :rule reordering :premises (@p339) :args ((or @t205 @t204 @t245 (not @t246)))) % 234.93/235.18 (step @p341 :rule chain_m_resolution :premises (@p340 @p268 @p338 @p332) :args (@t245 @t247 (@list @t193 @t203 @t246))) % 234.93/235.18 (step @p342 :rule bool-double-not-elim :args (@t201)) % 234.93/235.18 (step @p343 :rule nary_cong :premises (@p263 @p342) :args ((or @t206 (not @t202)))) % 234.93/235.18 (step @p344 :rule cnf_or_neg :args (@t206 3)) % 234.93/235.18 (step @p345 :rule eq_resolve :premises (@p344 @p343)) % 234.93/235.18 (step @p346 :rule reordering :premises (@p345) :args ((or @t201 @t206))) % 234.93/235.18 (step @p347 :rule chain_m_resolution :premises (@p346 @p261) :args (@t201 @t207 @t208)) % 234.93/235.18 (step @p348 :rule cnf_equiv_pos1 :args (@t245)) % 234.93/235.18 (step @p349 :rule reordering :premises (@p348) :args ((or @t202 @t244 (not @t245)))) % 234.93/235.18 (step @p350 :rule chain_m_resolution :premises (@p349 @p347 @p341) :args (@t244 (@list false false) (@list @t201 @t245))) % 234.93/235.18 (step @p351 :rule skolemize :premises (@p350)) % 234.93/235.18 (step @p352 :rule bool-double-not-elim :args (@t249)) % 234.93/235.18 (step @p353 :rule refl :args (@t258)) % 234.93/235.18 (step @p354 :rule nary_cong :premises (@p353 @p352) :args ((or @t258 (not @t257)))) % 234.93/235.18 (step @p355 :rule cnf_or_neg :args (@t258 0)) % 234.93/235.18 (step @p356 :rule eq_resolve :premises (@p355 @p354)) % 234.93/235.18 (step @p357 :rule reordering :premises (@p356) :args ((or @t249 @t258))) % 234.93/235.18 (step @p358 :rule chain_m_resolution :premises (@p357 @p351) :args (@t249 @t207 @t259)) % 234.93/235.18 (step @p359 :rule aci_norm :args ((= @t267 (or @t265 @t264 @t263 @t262)))) % 234.93/235.18 (step @p360 :rule cong :premises (@p359) :args (@t268)) % 234.93/235.18 (step @p361 :rule quant-merge-prenex :args ((= (forall @t9 @t270) @t268))) % 234.93/235.18 (step @p362 :rule alpha_equiv :args (@t271 (@list @t261 @t260) (@list @t1 @t272))) % 234.93/235.18 (step @p363 :rule refl :args (@t265)) % 234.93/235.18 (step @p364 :rule nary_cong :premises (@p363 @p362) :args (@t273)) % 234.93/235.18 (step @p365 :rule quant-miniscope-or :args ((= @t270 @t273))) % 234.93/235.18 (step @p366 :rule trans :premises (@p365 @p364)) % 234.93/235.18 (step @p367 :rule symm :premises (@p366)) % 234.93/235.18 (step @p368 :rule cong :premises (@p367) :args ((forall @t9 (or @t265 @t278)))) % 234.93/235.18 (step @p369 :rule trans :premises (@p368 @p361)) % 234.93/235.18 (step @p370 :rule trans :premises (@p369 @p360)) % 234.93/235.18 (step @p371 :rule bool-impl-elim :args (@t8 @t278)) % 234.93/235.18 (step @p372 :rule cong :premises (@p371) :args ((forall @t9 (=> @t8 @t278)))) % 234.93/235.18 (step @p373 :rule trans :premises (@p372 @p370)) % 234.93/235.18 (step @p374 :rule aci_norm :args ((= @t280 @t276))) % 234.93/235.18 (step @p375 :rule cong :premises (@p374) :args (@t281)) % 234.93/235.18 (step @p376 :rule quant-merge-prenex :args ((= (forall @t7 @t283) @t281))) % 234.93/235.18 (step @p377 :rule alpha_equiv :args (@t284 (@list @t272) (@list @t12))) % 234.93/235.18 (step @p378 :rule nary_cong :premises (@p122 @p377) :args (@t285)) % 234.93/235.18 (step @p379 :rule quant-miniscope-or :args ((= @t283 @t285))) % 234.93/235.19 (step @p380 :rule trans :premises (@p379 @p378)) % 234.93/235.19 (step @p381 :rule symm :premises (@p380)) % 234.93/235.19 (step @p382 :rule cong :premises (@p381) :args ((forall @t7 (or @t140 @t286)))) % 234.93/235.19 (step @p383 :rule trans :premises (@p382 @p376)) % 234.93/235.19 (step @p384 :rule trans :premises (@p383 @p375)) % 234.93/235.19 (step @p385 :rule bool-impl-elim :args (@t21 @t286)) % 234.93/235.19 (step @p386 :rule cong :premises (@p385) :args ((forall @t7 (=> @t21 @t286)))) % 234.93/235.19 (step @p387 :rule trans :premises (@p386 @p384)) % 234.93/235.19 (step @p388 :rule bool-impl-elim :args (@t15 @t70)) % 234.93/235.19 (step @p389 :rule cong :premises (@p388) :args (@t71)) % 234.93/235.19 (step @p390 :rule cong :premises (@p251 @p389) :args (@t72)) % 234.93/235.19 (step @p391 :rule cong :premises (@p390) :args (@t73)) % 234.93/235.19 (step @p392 :rule trans :premises (@p391 @p387)) % 234.93/235.19 (step @p393 :rule refl :args (@t8)) % 234.93/235.19 (step @p394 :rule cong :premises (@p393 @p392) :args (@t74)) % 234.93/235.19 (step @p395 :rule cong :premises (@p394) :args (@t75)) % 234.93/235.19 (step @p396 :rule trans :premises (@p395 @p373)) % 234.93/235.19 (step @p397 :rule eq_resolve :premises (@p36 @p396)) % 234.93/235.19 (step @p398 :rule instantiate :premises (@p397) :args ((@list @t194 @t248 @t192))) % 234.93/235.19 (step @p399 :rule bool-double-not-elim :args (@t197)) % 234.93/235.19 (step @p400 :rule nary_cong :premises (@p263 @p399) :args ((or @t206 (not @t198)))) % 234.93/235.19 (step @p401 :rule cnf_or_neg :args (@t206 6)) % 234.93/235.19 (step @p402 :rule eq_resolve :premises (@p401 @p400)) % 234.93/235.19 (step @p403 :rule reordering :premises (@p402) :args ((or @t197 @t206))) % 234.93/235.19 (step @p404 :rule chain_m_resolution :premises (@p403 @p261) :args (@t197 @t207 @t208)) % 234.93/235.19 (step @p405 :rule cnf_or_neg :args (@t287 1)) % 234.93/235.19 (step @p406 :rule reordering :premises (@p405) :args ((or @t198 @t287))) % 234.93/235.19 (step @p407 :rule chain_m_resolution :premises (@p406 @p404) :args (@t287 (@list false) (@list @t197))) % 234.93/235.19 (step @p408 :rule instantiate :premises (@p397) :args ((@list @t194 @t251 @t250))) % 234.93/235.19 (step @p409 :rule aci_norm :args ((= @t292 (or @t123 @t290 @t289)))) % 234.93/235.19 (step @p410 :rule cong :premises (@p409) :args (@t293)) % 234.93/235.19 (step @p411 :rule quant-merge-prenex :args ((= (forall @t9 @t295) @t293))) % 234.93/235.19 (step @p412 :rule alpha_equiv :args (@t296 (@list @t288) @t221)) % 234.93/235.19 (step @p413 :rule nary_cong :premises (@p103 @p412) :args (@t297)) % 234.93/235.19 (step @p414 :rule quant-miniscope-or :args ((= @t295 @t297))) % 234.93/235.19 (step @p415 :rule trans :premises (@p414 @p413)) % 234.93/235.19 (step @p416 :rule symm :premises (@p415)) % 234.93/235.19 (step @p417 :rule cong :premises (@p416) :args ((forall @t9 (or @t123 @t298)))) % 234.93/235.19 (step @p418 :rule trans :premises (@p417 @p411)) % 234.93/235.19 (step @p419 :rule trans :premises (@p418 @p410)) % 234.93/235.19 (step @p420 :rule bool-impl-elim :args (@t17 @t298)) % 234.93/235.19 (step @p421 :rule cong :premises (@p420) :args ((forall @t9 (=> @t17 @t298)))) % 234.93/235.19 (step @p422 :rule trans :premises (@p421 @p419)) % 234.93/235.19 (step @p423 :rule bool-impl-elim :args (@t21 @t56)) % 234.93/235.19 (step @p424 :rule cong :premises (@p423) :args (@t57)) % 234.93/235.19 (step @p425 :rule cong :premises (@p255 @p424) :args (@t58)) % 234.93/235.19 (step @p426 :rule cong :premises (@p425) :args (@t59)) % 234.93/235.19 (step @p427 :rule trans :premises (@p426 @p422)) % 234.93/235.19 (step @p428 :rule eq_resolve :premises (@p26 @p427)) % 234.93/235.19 (step @p429 :rule instantiate :premises (@p428) :args ((@list @t248 @t192))) % 234.93/235.19 (step @p430 :rule cnf_or_pos :args (@t300)) % 234.93/235.19 (step @p431 :rule reordering :premises (@p430) :args ((or @t205 @t257 @t299 (not @t300)))) % 234.93/235.19 (step @p432 :rule chain_m_resolution :premises (@p431 @p268 @p358 @p429) :args (@t299 @t247 (@list @t193 @t249 @t300))) % 234.93/235.19 (step @p433 :rule bool-double-not-elim :args (@t255)) % 234.93/235.19 (step @p434 :rule nary_cong :premises (@p353 @p433) :args ((or @t258 (not @t256)))) % 234.93/235.19 (step @p435 :rule cnf_or_neg :args (@t258 1)) % 234.93/235.19 (step @p436 :rule eq_resolve :premises (@p435 @p434)) % 234.93/235.19 (step @p437 :rule reordering :premises (@p436) :args ((or @t255 @t258))) % 234.93/235.19 (step @p438 :rule chain_m_resolution :premises (@p437 @p351) :args (@t255 @t207 @t259)) % 234.93/235.19 (step @p439 :rule cnf_or_pos :args (@t306)) % 234.93/235.19 (step @p440 :rule reordering :premises (@p439) :args ((or @t200 @t256 @t305 @t304 (not @t306)))) % 234.93/235.19 (step @p441 :rule chain_m_resolution :premises (@p440 @p274 @p438 @p432 @p408) :args (@t304 (@list false false false false) (@list @t199 @t255 @t299 @t306))) % 234.93/235.19 (step @p442 :rule cnf_or_neg :args (@t206 7)) % 234.93/235.19 (step @p443 :rule chain_m_resolution :premises (@p442 @p261) :args ((not @t196) @t207 @t208)) % 234.93/235.19 (step @p444 :rule false_intro :premises (@p443)) % 234.93/235.19 (step @p445 :rule refl :args (@t194)) % 234.93/235.19 (step @p446 :rule bool-double-not-elim :args (@t253)) % 234.93/235.19 (step @p447 :rule nary_cong :premises (@p353 @p446) :args ((or @t258 (not @t254)))) % 234.93/235.19 (step @p448 :rule cnf_or_neg :args (@t258 2)) % 234.93/235.19 (step @p449 :rule eq_resolve :premises (@p448 @p447)) % 234.93/235.19 (step @p450 :rule reordering :premises (@p449) :args ((or @t253 @t258))) % 234.93/235.19 (step @p451 :rule chain_m_resolution :premises (@p450 @p351) :args (@t253 @t207 @t259)) % 234.93/235.19 (step @p452 :rule symm :premises (@p451)) % 234.93/235.19 (step @p453 :rule cong :premises (@p452 @p445) :args (@t303)) % 234.93/235.19 (step @p454 :rule trans :premises (@p453 @p444)) % 234.93/235.19 (step @p455 :rule false_elim :premises (@p454)) % 234.93/235.19 (step @p456 :rule cnf_equiv_pos2 :args (@t304)) % 234.93/235.19 (step @p457 :rule reordering :premises (@p456) :args ((or @t303 @t307 (not @t304)))) % 234.93/235.19 (step @p458 :rule chain_m_resolution :premises (@p457 @p455 @p441) :args (@t307 @t308 (@list @t303 @t304))) % 234.93/235.19 (step @p459 :rule cnf_or_neg :args (@t302 0)) % 234.93/235.19 (step @p460 :rule chain_m_resolution :premises (@p459 @p458) :args ((not @t301) @t207 (@list @t302))) % 234.93/235.19 (step @p461 :rule cnf_equiv_pos2 :args (@t309)) % 234.93/235.19 (step @p462 :rule reordering :premises (@p461) :args ((or @t301 (not @t287) @t310))) % 234.93/235.19 (step @p463 :rule chain_m_resolution :premises (@p462 @p460 @p407) :args (@t310 @t308 (@list @t301 @t287))) % 234.93/235.19 (step @p464 :rule cnf_or_pos :args (@t311)) % 234.93/235.19 (step @p465 :rule reordering :premises (@p464) :args ((or @t205 @t200 @t257 @t309 (not @t311)))) % 234.93/235.19 (step @p466 false :rule chain_m_resolution :premises (@p465 @p463 @p398 @p358 @p274 @p268) :args (false (@list true false false false false) (@list @t309 @t311 @t249 @t199 @t193))) % 234.93/235.19 ) % 234.93/235.19 % SZS output end Proof % 234.93/235.19 % cvc5 exiting %------------------------------------------------------------------------------