%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC229+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 : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:32 AM UTC 2026 % Result : Theorem 64.91s 65.13s % Output : Proof 64.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC229+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n019.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:28:19 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 64.91/65.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 64.91/65.13 --- Run --no-e-matching --full-saturate-quant at 6... % 64.91/65.13 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 64.91/65.13 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 64.91/65.13 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.91/65.13 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.91/65.13 % SZS status Theorem % 64.91/65.13 % SZS output start Proof % 64.91/65.13 ( % 64.91/65.13 (declare-sort $$unsorted 0) % 64.91/65.13 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 64.91/65.13 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 64.91/65.13 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 64.91/65.13 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 64.91/65.13 (declare-const tptp.nil $$unsorted) % 64.91/65.13 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.ssList (-> $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 64.91/65.13 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 64.91/65.13 (define @t1 () (@var "V" $$unsorted)) % 64.91/65.13 (define @t2 () (@var "U" $$unsorted)) % 64.91/65.13 (define @t3 () (= @t2 @t1)) % 64.91/65.13 (define @t4 () (not @t3)) % 64.91/65.13 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 64.91/65.13 (define @t6 () (tptp.ssItem @t1)) % 64.91/65.13 (define @t7 () (@list @t1)) % 64.91/65.13 (define @t8 () (tptp.ssItem @t2)) % 64.91/65.13 (define @t9 () (@list @t2)) % 64.91/65.13 (define @t10 () (@var "X" $$unsorted)) % 64.91/65.13 (define @t11 () (tptp.cons @t1 @t10)) % 64.91/65.13 (define @t12 () (@var "W" $$unsorted)) % 64.91/65.13 (define @t13 () (tptp.ssList @t10)) % 64.91/65.13 (define @t14 () (@list @t10)) % 64.91/65.13 (define @t15 () (tptp.ssList @t12)) % 64.91/65.13 (define @t16 () (@list @t12)) % 64.91/65.13 (define @t17 () (tptp.ssList @t2)) % 64.91/65.13 (define @t18 () (tptp.cons @t1 tptp.nil)) % 64.91/65.13 (define @t19 () (and @t6 (= @t18 @t2))) % 64.91/65.13 (define @t20 () (exists @t7 @t19)) % 64.91/65.13 (define @t21 () (tptp.singletonP @t2)) % 64.91/65.13 (define @t22 () (= @t21 @t20)) % 64.91/65.13 (define @t23 () (=> @t17 @t22)) % 64.91/65.13 (define @t24 () (forall @t9 @t23)) % 64.91/65.13 (define @t25 () (tptp.app @t1 @t12)) % 64.91/65.13 (define @t26 () (tptp.frontsegP @t2 @t1)) % 64.91/65.13 (define @t27 () (tptp.ssList @t1)) % 64.91/65.13 (define @t28 () (tptp.app @t12 @t1)) % 64.91/65.13 (define @t29 () (tptp.rearsegP @t2 @t1)) % 64.91/65.13 (define @t30 () (tptp.segmentP @t2 @t1)) % 64.91/65.13 (define @t31 () (tptp.leq @t12 @t1)) % 64.91/65.13 (define @t32 () (tptp.leq @t1 @t12)) % 64.91/65.13 (define @t33 () (@var "Z" $$unsorted)) % 64.91/65.13 (define @t34 () (@var "Y" $$unsorted)) % 64.91/65.13 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 64.91/65.13 (define @t36 () (tptp.ssList @t33)) % 64.91/65.13 (define @t37 () (@list @t33)) % 64.91/65.13 (define @t38 () (tptp.ssList @t34)) % 64.91/65.13 (define @t39 () (@list @t34)) % 64.91/65.13 (define @t40 () (tptp.ssItem @t12)) % 64.91/65.13 (define @t41 () (tptp.lt @t1 @t12)) % 64.91/65.13 (define @t42 () (= @t1 @t12)) % 64.91/65.13 (define @t43 () (forall @t7 (=> @t27 @t5))) % 64.91/65.13 (define @t44 () (=> @t17 @t43)) % 64.91/65.13 (define @t45 () (forall @t9 @t44)) % 64.91/65.13 (define @t46 () (tptp.cons @t1 @t2)) % 64.91/65.13 (define @t47 () (tptp.ssList tptp.nil)) % 64.91/65.13 (define @t48 () (= @t1 @t2)) % 64.91/65.13 (define @t49 () (tptp.cons @t12 @t1)) % 64.91/65.13 (define @t50 () (= tptp.nil @t2)) % 64.91/65.13 (define @t51 () (tptp.hd @t2)) % 64.91/65.13 (define @t52 () (tptp.ssItem @t51)) % 64.91/65.13 (define @t53 () (not @t50)) % 64.91/65.13 (define @t54 () (=> @t53 @t52)) % 64.91/65.13 (define @t55 () (=> @t17 @t54)) % 64.91/65.13 (define @t56 () (forall @t9 @t55)) % 64.91/65.13 (define @t57 () (tptp.hd @t46)) % 64.91/65.13 (define @t58 () (=> @t6 (= @t57 @t1))) % 64.91/65.13 (define @t59 () (forall @t7 @t58)) % 64.91/65.13 (define @t60 () (=> @t17 @t59)) % 64.91/65.13 (define @t61 () (forall @t9 @t60)) % 64.91/65.13 (define @t62 () (tptp.tl @t2)) % 64.91/65.13 (define @t63 () (tptp.app @t2 @t1)) % 64.91/65.13 (define @t64 () (tptp.app @t1 @t2)) % 64.91/65.13 (define @t65 () (tptp.app tptp.nil @t2)) % 64.91/65.13 (define @t66 () (=> @t17 (= @t65 @t2))) % 64.91/65.13 (define @t67 () (forall @t9 @t66)) % 64.91/65.13 (define @t68 () (tptp.leq @t1 @t2)) % 64.91/65.13 (define @t69 () (tptp.leq @t2 @t1)) % 64.91/65.13 (define @t70 () (tptp.geq @t2 @t1)) % 64.91/65.13 (define @t71 () (tptp.lt @t1 @t2)) % 64.91/65.13 (define @t72 () (tptp.lt @t2 @t1)) % 64.91/65.13 (define @t73 () (tptp.lt @t2 @t12)) % 64.91/65.13 (define @t74 () (tptp.gt @t2 @t1)) % 64.91/65.13 (define @t75 () (tptp.memberP @t12 @t2)) % 64.91/65.13 (define @t76 () (not (tptp.memberP tptp.nil @t2))) % 64.91/65.13 (define @t77 () (forall @t9 (=> @t8 @t76))) % 64.91/65.13 (define @t78 () (tptp.app @t12 @t2)) % 64.91/65.13 (define @t79 () (tptp.segmentP @t1 @t12)) % 64.91/65.13 (define @t80 () (tptp.segmentP @t1 @t2)) % 64.91/65.13 (define @t81 () (tptp.segmentP tptp.nil @t2)) % 64.91/65.13 (define @t82 () (=> @t17 (= @t81 @t50))) % 64.91/65.13 (define @t83 () (forall @t9 @t82)) % 64.91/65.13 (define @t84 () (tptp.cons @t2 tptp.nil)) % 64.91/65.13 (define @t85 () (tptp.hd @t1)) % 64.91/65.13 (define @t86 () (= tptp.nil @t1)) % 64.91/65.13 (define @t87 () (not @t86)) % 64.91/65.13 (define @t88 () (tptp.cons @t2 @t1)) % 64.91/65.13 (define @t89 () (= @t12 @t2)) % 64.91/65.13 (define @t90 () (tptp.app @t2 tptp.nil)) % 64.91/65.13 (define @t91 () (=> @t17 (= @t90 @t2))) % 64.91/65.13 (define @t92 () (forall @t9 @t91)) % 64.91/65.13 (define @t93 () (not (tptp.singletonP @t12))) % 64.91/65.13 (define @t94 () (and @t93 (tptp.neq @t10 tptp.nil))) % 64.91/65.13 (define @t95 () (@var "X2" $$unsorted)) % 64.91/65.13 (define @t96 () (tptp.leq @t95 @t34)) % 64.91/65.13 (define @t97 () (not (tptp.leq @t34 @t95))) % 64.91/65.13 (define @t98 () (@var "X1" $$unsorted)) % 64.91/65.13 (define @t99 () (not (tptp.memberP @t98 @t95))) % 64.91/65.13 (define @t100 () (not (tptp.memberP @t33 @t95))) % 64.91/65.13 (define @t101 () (or @t100 @t99 @t97 @t96)) % 64.91/65.13 (define @t102 () (tptp.ssItem @t95)) % 64.91/65.13 (define @t103 () (@list @t95)) % 64.91/65.13 (define @t104 () (forall @t103 (=> @t102 @t101))) % 64.91/65.13 (define @t105 () (tptp.cons @t34 tptp.nil)) % 64.91/65.13 (define @t106 () (tptp.app @t33 @t105)) % 64.91/65.13 (define @t107 () (tptp.app @t106 @t98)) % 64.91/65.13 (define @t108 () (tptp.ssList @t98)) % 64.91/65.13 (define @t109 () (and @t108 (= @t107 @t2) @t104)) % 64.91/65.13 (define @t110 () (@list @t98)) % 64.91/65.13 (define @t111 () (exists @t110 @t109)) % 64.91/65.13 (define @t112 () (and @t36 @t111)) % 64.91/65.13 (define @t113 () (exists @t37 @t112)) % 64.91/65.13 (define @t114 () (tptp.ssItem @t34)) % 64.91/65.13 (define @t115 () (and @t114 @t113)) % 64.91/65.13 (define @t116 () (exists @t39 @t115)) % 64.91/65.13 (define @t117 () (not (tptp.segmentP @t10 @t12))) % 64.91/65.13 (define @t118 () (not (= @t2 @t12))) % 64.91/65.13 (define @t119 () (not (= @t1 @t10))) % 64.91/65.13 (define @t120 () (or @t119 @t118 @t117 @t50 @t116 @t94)) % 64.91/65.13 (define @t121 () (=> @t13 @t120)) % 64.91/65.13 (define @t122 () (forall @t14 @t121)) % 64.91/65.13 (define @t123 () (=> @t15 @t122)) % 64.91/65.13 (define @t124 () (forall @t16 @t123)) % 64.91/65.13 (define @t125 () (=> @t27 @t124)) % 64.91/65.13 (define @t126 () (forall @t7 @t125)) % 64.91/65.13 (define @t127 () (=> @t17 @t126)) % 64.91/65.13 (define @t128 () (forall @t9 @t127)) % 64.91/65.13 (define @t129 () (not @t128)) % 64.91/65.13 (define @t130 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 64.91/65.13 (define @t131 () (not @t21)) % 64.91/65.13 (define @t132 () (and @t131 (tptp.neq @t130 tptp.nil))) % 64.91/65.13 (define @t133 () (not (tptp.segmentP @t130 @t2))) % 64.91/65.13 (define @t134 () (not (tptp.ssList @t130))) % 64.91/65.13 (define @t135 () (@var "BOUND_VARIABLE_10994" $$unsorted)) % 64.91/65.13 (define @t136 () (@var "BOUND_VARIABLE_10992" $$unsorted)) % 64.91/65.13 (define @t137 () (not @t102)) % 64.91/65.13 (define @t138 () (not (forall @t103 (or @t137 (not (tptp.memberP @t136 @t95)) (not (tptp.memberP @t135 @t95)) @t97 @t96)))) % 64.91/65.13 (define @t139 () (tptp.app (tptp.app @t136 @t105) @t135)) % 64.91/65.13 (define @t140 () (not (= @t2 @t139))) % 64.91/65.13 (define @t141 () (not (tptp.ssList @t135))) % 64.91/65.13 (define @t142 () (not (tptp.ssList @t136))) % 64.91/65.13 (define @t143 () (not @t114)) % 64.91/65.13 (define @t144 () (or @t143 @t142 @t141 @t140 @t138)) % 64.91/65.13 (define @t145 () (@list @t34 @t136 @t135)) % 64.91/65.13 (define @t146 () (not (forall @t145 @t144))) % 64.91/65.13 (define @t147 () (= @t2 tptp.nil)) % 64.91/65.13 (define @t148 () (not @t17)) % 64.91/65.13 (define @t149 () (or @t148 @t147 @t146 @t134 @t133 @t132)) % 64.91/65.13 (define @t150 () (or @t134 @t133 @t132)) % 64.91/65.13 (define @t151 () (or @t148 @t147 @t146 @t150)) % 64.91/65.13 (define @t152 () (@list @t2 @t130)) % 64.91/65.13 (define @t153 () (forall @t152 @t151)) % 64.91/65.13 (define @t154 () (@list @t130)) % 64.91/65.13 (define @t155 () (forall @t154 @t151)) % 64.91/65.13 (define @t156 () (forall @t154 @t150)) % 64.91/65.13 (define @t157 () (@list @t1)) % 64.91/65.13 (define @t158 () (or @t148 @t147 @t146 @t156)) % 64.91/65.13 (define @t159 () (tptp.neq @t1 tptp.nil)) % 64.91/65.13 (define @t160 () (and @t131 @t159)) % 64.91/65.13 (define @t161 () (not @t80)) % 64.91/65.13 (define @t162 () (not @t27)) % 64.91/65.13 (define @t163 () (or @t162 @t161 @t160)) % 64.91/65.13 (define @t164 () (forall @t7 @t163)) % 64.91/65.13 (define @t165 () (or @t148 @t147 @t146 @t164)) % 64.91/65.13 (define @t166 () (or @t147 @t146 @t148 @t164)) % 64.91/65.13 (define @t167 () (or @t147 @t146 @t148 @t163)) % 64.91/65.13 (define @t168 () (or @t162 @t147 @t146 @t148 @t161 @t160)) % 64.91/65.13 (define @t169 () (or @t147 @t146 @t162 @t148 @t161 @t160)) % 64.91/65.13 (define @t170 () (or @t148 @t161 @t160)) % 64.91/65.13 (define @t171 () (not (= @t2 @t2))) % 64.91/65.13 (define @t172 () (or @t148 @t171 @t161 @t160)) % 64.91/65.13 (define @t173 () (and @t93 @t159)) % 64.91/65.13 (define @t174 () (not @t79)) % 64.91/65.13 (define @t175 () (not @t15)) % 64.91/65.13 (define @t176 () (or @t118 @t175 @t118 @t174 @t173)) % 64.91/65.13 (define @t177 () (or @t175 @t118 @t174 @t173)) % 64.91/65.13 (define @t178 () (forall @t16 @t177)) % 64.91/65.13 (define @t179 () (or @t147 @t146 @t162 @t178)) % 64.91/65.13 (define @t180 () (or @t147 @t146 @t162 @t177)) % 64.91/65.13 (define @t181 () (or @t175 @t118 @t147 @t146 @t162 @t174 @t173)) % 64.91/65.13 (define @t182 () (or @t118 @t147 @t146 @t162 @t174 @t173)) % 64.91/65.13 (define @t183 () (or @t162 @t174 @t173)) % 64.91/65.13 (define @t184 () (not (= @t1 @t1))) % 64.91/65.13 (define @t185 () (or @t162 @t184 @t174 @t173)) % 64.91/65.13 (define @t186 () (not @t13)) % 64.91/65.13 (define @t187 () (or @t119 @t186 @t119 @t117 @t94)) % 64.91/65.13 (define @t188 () (or @t186 @t119 @t117 @t94)) % 64.91/65.13 (define @t189 () (forall @t14 @t188)) % 64.91/65.13 (define @t190 () (or @t118 @t147 @t146 @t189)) % 64.91/65.13 (define @t191 () (or @t118 @t147 @t146 @t188)) % 64.91/65.13 (define @t192 () (or @t186 @t119 @t118 @t117 @t147 @t146 @t94)) % 64.91/65.13 (define @t193 () (or @t119 @t118 @t117 @t147 @t146 @t94)) % 64.91/65.13 (define @t194 () (or @t142 @t141 @t140 @t138)) % 64.91/65.13 (define @t195 () (or @t143 @t194)) % 64.91/65.13 (define @t196 () (forall @t145 @t195)) % 64.91/65.13 (define @t197 () (@list @t136 @t135)) % 64.91/65.13 (define @t198 () (forall @t197 @t195)) % 64.91/65.13 (define @t199 () (forall @t197 @t194)) % 64.91/65.13 (define @t200 () (@var "BOUND_VARIABLE_10965" $$unsorted)) % 64.91/65.13 (define @t201 () (or @t143 @t199)) % 64.91/65.13 (define @t202 () (not (forall @t103 (or @t137 @t100 (not (tptp.memberP @t200 @t95)) @t97 @t96)))) % 64.91/65.13 (define @t203 () (not (= @t2 (tptp.app @t106 @t200)))) % 64.91/65.13 (define @t204 () (not (tptp.ssList @t200))) % 64.91/65.13 (define @t205 () (not @t36)) % 64.91/65.13 (define @t206 () (or @t205 @t204 @t203 @t202)) % 64.91/65.13 (define @t207 () (@list @t33 @t200)) % 64.91/65.13 (define @t208 () (forall @t207 @t206)) % 64.91/65.13 (define @t209 () (not @t208)) % 64.91/65.13 (define @t210 () (and @t114 @t209)) % 64.91/65.13 (define @t211 () (forall @t39 (not @t210))) % 64.91/65.13 (define @t212 () (not @t211)) % 64.91/65.13 (define @t213 () (or @t204 @t203 @t202)) % 64.91/65.13 (define @t214 () (or @t205 @t213)) % 64.91/65.13 (define @t215 () (forall @t207 @t214)) % 64.91/65.13 (define @t216 () (@list @t200)) % 64.91/65.13 (define @t217 () (forall @t216 @t214)) % 64.91/65.13 (define @t218 () (forall @t216 @t213)) % 64.91/65.13 (define @t219 () (or @t205 @t218)) % 64.91/65.13 (define @t220 () (or @t137 @t100 @t99 @t97 @t96)) % 64.91/65.13 (define @t221 () (forall @t103 @t220)) % 64.91/65.13 (define @t222 () (not @t221)) % 64.91/65.13 (define @t223 () (= @t2 @t107)) % 64.91/65.13 (define @t224 () (not @t223)) % 64.91/65.13 (define @t225 () (not @t108)) % 64.91/65.13 (define @t226 () (or @t225 @t224 @t222)) % 64.91/65.13 (define @t227 () (forall @t110 @t226)) % 64.91/65.13 (define @t228 () (not @t227)) % 64.91/65.13 (define @t229 () (and @t36 @t228)) % 64.91/65.13 (define @t230 () (forall @t37 (not @t229))) % 64.91/65.13 (define @t231 () (not @t230)) % 64.91/65.13 (define @t232 () (and @t108 @t223 @t221)) % 64.91/65.13 (define @t233 () (forall @t110 (not @t232))) % 64.91/65.13 (define @t234 () (not @t233)) % 64.91/65.13 (define @t235 () (forall @t152 @t149)) % 64.91/65.13 (define @t236 () (@quantifiers_skolemize @t235 1)) % 64.91/65.13 (define @t237 () (tptp.neq @t236 tptp.nil)) % 64.91/65.13 (define @t238 () (@quantifiers_skolemize @t235 0)) % 64.91/65.13 (define @t239 () (tptp.singletonP @t238)) % 64.91/65.13 (define @t240 () (not @t239)) % 64.91/65.13 (define @t241 () (and @t240 @t237)) % 64.91/65.13 (define @t242 () (tptp.segmentP @t236 @t238)) % 64.91/65.13 (define @t243 () (not @t242)) % 64.91/65.13 (define @t244 () (tptp.ssList @t236)) % 64.91/65.13 (define @t245 () (not @t244)) % 64.91/65.13 (define @t246 () (forall @t145 (or @t143 @t142 @t141 (not (= @t139 @t238)) @t138))) % 64.91/65.13 (define @t247 () (not @t246)) % 64.91/65.13 (define @t248 () (= tptp.nil @t238)) % 64.91/65.13 (define @t249 () (tptp.ssList @t238)) % 64.91/65.13 (define @t250 () (not @t249)) % 64.91/65.13 (define @t251 () (or @t250 @t248 @t247 @t245 @t243 @t241)) % 64.91/65.13 (define @t252 () (not @t251)) % 64.91/65.13 (define @t253 () (not @t235)) % 64.91/65.13 (define @t254 () (not (= @t238 @t139))) % 64.91/65.13 (define @t255 () (or @t143 @t142 @t141 @t254 @t138)) % 64.91/65.13 (define @t256 () (forall @t145 @t255)) % 64.91/65.13 (define @t257 () (not @t256)) % 64.91/65.13 (define @t258 () (= @t238 tptp.nil)) % 64.91/65.13 (define @t259 () (or @t250 @t258 @t257 @t245 @t243 @t241)) % 64.91/65.13 (define @t260 () (not @t259)) % 64.91/65.13 (define @t261 () (@list true)) % 64.91/65.13 (define @t262 () (@list @t251)) % 64.91/65.13 (define @t263 () (= @t81 @t147)) % 64.91/65.13 (define @t264 () (tptp.segmentP tptp.nil @t238)) % 64.91/65.13 (define @t265 () (or @t250 (= @t264 @t258))) % 64.91/65.13 (define @t266 () (forall @t9 (or @t148 @t263))) % 64.91/65.13 (define @t267 () (@list @t238)) % 64.91/65.13 (define @t268 () (= @t248 @t264)) % 64.91/65.13 (define @t269 () (or @t250 @t268)) % 64.91/65.13 (define @t270 () (@list false)) % 64.91/65.13 (define @t271 () (@list false false)) % 64.91/65.13 (define @t272 () (not @t264)) % 64.91/65.13 (define @t273 () (@list true false)) % 64.91/65.13 (define @t274 () (@var "BOUND_VARIABLE_9120" $$unsorted)) % 64.91/65.13 (define @t275 () (= (tptp.neq @t2 @t274) (not (= @t2 @t274)))) % 64.91/65.13 (define @t276 () (not (tptp.ssList @t274))) % 64.91/65.13 (define @t277 () (or @t148 @t276 @t275)) % 64.91/65.13 (define @t278 () (or @t276 @t275)) % 64.91/65.13 (define @t279 () (or @t148 @t278)) % 64.91/65.13 (define @t280 () (@list @t2 @t274)) % 64.91/65.13 (define @t281 () (forall @t280 @t279)) % 64.91/65.13 (define @t282 () (@list @t274)) % 64.91/65.13 (define @t283 () (forall @t282 @t279)) % 64.91/65.13 (define @t284 () (forall @t282 @t278)) % 64.91/65.13 (define @t285 () (or @t148 @t284)) % 64.91/65.13 (define @t286 () (forall @t7 (or @t162 @t5))) % 64.91/65.13 (define @t287 () (not (= @t236 tptp.nil))) % 64.91/65.13 (define @t288 () (= @t237 @t287)) % 64.91/65.13 (define @t289 () (not @t47)) % 64.91/65.13 (define @t290 () (or @t245 @t289 @t288)) % 64.91/65.13 (define @t291 () (forall @t280 @t277)) % 64.91/65.13 (define @t292 () (= tptp.nil @t236)) % 64.91/65.13 (define @t293 () (not @t292)) % 64.91/65.13 (define @t294 () (= @t237 @t293)) % 64.91/65.13 (define @t295 () (or @t245 @t289 @t294)) % 64.91/65.13 (define @t296 () (@list false false false)) % 64.91/65.13 (define @t297 () (= @t2 @t18)) % 64.91/65.13 (define @t298 () (not @t6)) % 64.91/65.13 (define @t299 () (= @t21 (not (forall @t7 (or @t298 (not @t297)))))) % 64.91/65.13 (define @t300 () (and @t6 @t297)) % 64.91/65.13 (define @t301 () (forall @t7 (not @t300))) % 64.91/65.13 (define @t302 () (not @t301)) % 64.91/65.13 (define @t303 () (not (= @t238 @t18))) % 64.91/65.13 (define @t304 () (or @t298 @t303)) % 64.91/65.13 (define @t305 () (forall @t7 @t304)) % 64.91/65.13 (define @t306 () (not @t305)) % 64.91/65.13 (define @t307 () (= @t239 @t306)) % 64.91/65.13 (define @t308 () (or @t250 @t307)) % 64.91/65.13 (define @t309 () (forall @t9 (or @t148 @t299))) % 64.91/65.13 (define @t310 () (forall @t7 (or @t298 (not (= @t18 @t238))))) % 64.91/65.13 (define @t311 () (not @t310)) % 64.91/65.13 (define @t312 () (= @t239 @t311)) % 64.91/65.13 (define @t313 () (or @t250 @t312)) % 64.91/65.13 (define @t314 () (@quantifiers_skolemize @t310 0)) % 64.91/65.13 (define @t315 () (tptp.ssItem @t314)) % 64.91/65.13 (define @t316 () (tptp.cons @t314 tptp.nil)) % 64.91/65.13 (define @t317 () (= @t238 @t316)) % 64.91/65.13 (define @t318 () (not @t317)) % 64.91/65.13 (define @t319 () (not @t315)) % 64.91/65.13 (define @t320 () (or @t319 @t318)) % 64.91/65.13 (define @t321 () (@var "BOUND_VARIABLE_9335" $$unsorted)) % 64.91/65.13 (define @t322 () (= @t321 (tptp.hd (tptp.cons @t321 @t2)))) % 64.91/65.13 (define @t323 () (not (tptp.ssItem @t321))) % 64.91/65.13 (define @t324 () (or @t323 @t322)) % 64.91/65.13 (define @t325 () (or @t148 @t324)) % 64.91/65.13 (define @t326 () (forall (@list @t2 @t321) @t325)) % 64.91/65.13 (define @t327 () (@list @t321)) % 64.91/65.13 (define @t328 () (forall @t327 @t325)) % 64.91/65.13 (define @t329 () (forall @t327 @t324)) % 64.91/65.13 (define @t330 () (or @t148 @t329)) % 64.91/65.13 (define @t331 () (= @t1 @t57)) % 64.91/65.13 (define @t332 () (forall @t7 (or @t298 @t331))) % 64.91/65.13 (define @t333 () (tptp.hd @t316)) % 64.91/65.13 (define @t334 () (= @t314 @t333)) % 64.91/65.13 (define @t335 () (or @t289 @t319 @t334)) % 64.91/65.13 (define @t336 () (= @t2 @t65)) % 64.91/65.13 (define @t337 () (tptp.app tptp.nil @t238)) % 64.91/65.13 (define @t338 () (= @t238 @t337)) % 64.91/65.13 (define @t339 () (or @t250 @t338)) % 64.91/65.13 (define @t340 () (= @t2 @t90)) % 64.91/65.13 (define @t341 () (tptp.app @t238 tptp.nil)) % 64.91/65.13 (define @t342 () (= @t238 @t341)) % 64.91/65.13 (define @t343 () (or @t250 @t342)) % 64.91/65.13 (define @t344 () (tptp.hd @t238)) % 64.91/65.13 (define @t345 () (tptp.leq @t95 @t344)) % 64.91/65.13 (define @t346 () (not (tptp.leq @t344 @t95))) % 64.91/65.13 (define @t347 () (not (tptp.memberP tptp.nil @t95))) % 64.91/65.13 (define @t348 () (or @t137 @t347 @t346 @t345)) % 64.91/65.13 (define @t349 () (or @t137 @t347 @t347 @t346 @t345)) % 64.91/65.13 (define @t350 () (forall @t103 @t349)) % 64.91/65.13 (define @t351 () (not @t350)) % 64.91/65.13 (define @t352 () (tptp.app (tptp.app tptp.nil (tptp.cons @t344 tptp.nil)) tptp.nil)) % 64.91/65.13 (define @t353 () (not (= @t352 @t238))) % 64.91/65.13 (define @t354 () (tptp.ssItem @t344)) % 64.91/65.13 (define @t355 () (not @t354)) % 64.91/65.13 (define @t356 () (or @t355 @t289 @t289 @t353 @t351)) % 64.91/65.13 (define @t357 () (forall @t103 @t348)) % 64.91/65.13 (define @t358 () (not @t357)) % 64.91/65.13 (define @t359 () (= @t238 @t352)) % 64.91/65.13 (define @t360 () (not @t359)) % 64.91/65.13 (define @t361 () (or @t355 @t289 @t289 @t360 @t358)) % 64.91/65.13 (define @t362 () (@quantifiers_skolemize @t357 0)) % 64.91/65.13 (define @t363 () (tptp.ssItem @t362)) % 64.91/65.13 (define @t364 () (tptp.memberP tptp.nil @t362)) % 64.91/65.13 (define @t365 () (not @t364)) % 64.91/65.13 (define @t366 () (not @t363)) % 64.91/65.13 (define @t367 () (or @t366 @t365 (not (tptp.leq @t344 @t362)) (tptp.leq @t362 @t344))) % 64.91/65.13 (define @t368 () (or @t366 @t365)) % 64.91/65.13 (define @t369 () (not @t367)) % 64.91/65.13 (define @t370 () (or @t148 @t147 @t52)) % 64.91/65.13 (define @t371 () (not @t147)) % 64.91/65.13 (define @t372 () (=> @t371 @t52)) % 64.91/65.13 (define @t373 () (or @t250 @t258 @t354)) % 64.91/65.13 (define @t374 () (forall @t9 @t370)) % 64.91/65.13 (define @t375 () (or @t250 @t248 @t354)) % 64.91/65.13 (define @t376 () (@list false true false)) % 64.91/65.13 (define @t377 () (and @t338 @t342 @t317 @t334)) % 64.91/65.13 (define @t378 () (not @t320)) % 64.91/65.13 (define @t379 () (not (= @t316 @t238))) % 64.91/65.13 (define @t380 () (or @t319 @t379)) % 64.91/65.13 (define @t381 () (not @t380)) % 64.91/65.13 (define @t382 () (not @t237)) % 64.91/65.13 (define @t383 () (not @t294)) % 64.91/65.13 (define @t384 () (and @t272 @t292 @t242)) % 64.91/65.13 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 64.91/65.13 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 64.91/65.13 (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))))))))))) % 64.91/65.13 (assume @p4 @t24) % 64.91/65.13 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 64.91/65.13 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 64.91/65.13 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 64.91/65.13 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not (and @t32 @t31))))))))))))))))) % 64.91/65.13 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t32 @t31)))))))))))))))) % 64.91/65.13 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t41 (tptp.lt @t12 @t1))))))))))))))))) % 64.91/65.13 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32))))))))))))))) % 64.91/65.13 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41))))))))))))))) % 64.91/65.13 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not @t42)))))))))))))))) % 64.91/65.13 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t42))))))))))))) % 64.91/65.13 (assume @p15 @t45) % 64.91/65.13 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t46)))))) % 64.91/65.13 (assume @p17 @t47) % 64.91/65.13 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t46 @t2))))))) % 64.91/65.13 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t48))))))))))) % 64.91/65.13 (assume @p20 (forall @t9 (=> @t17 (or @t50 (exists @t7 (and @t27 (exists @t16 (and @t40 (= @t49 @t2))))))))) % 64.91/65.13 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t46))))))) % 64.91/65.13 (assume @p22 @t56) % 64.91/65.13 (assume @p23 @t61) % 64.91/65.13 (assume @p24 (forall @t9 (=> @t17 (=> @t53 (tptp.ssList @t62))))) % 64.91/65.13 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t46) @t2)))))) % 64.91/65.13 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t63)))))) % 64.91/65.13 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t64) (tptp.app @t49 @t2))))))))) % 64.91/65.13 (assume @p28 @t67) % 64.91/65.13 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t69 @t68) @t3)))))) % 64.91/65.13 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t69 @t32) (tptp.leq @t2 @t12))))))))) % 64.91/65.13 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 64.91/65.13 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 @t68)))))) % 64.91/65.13 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (not @t71))))))) % 64.91/65.13 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t72 @t41) @t73)))))))) % 64.91/65.13 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t74 @t71)))))) % 64.91/65.13 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t75))))))))) % 64.91/65.13 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t75))))))))) % 64.91/65.13 (assume @p38 @t77) % 64.91/65.13 (assume @p39 (not (tptp.singletonP tptp.nil))) % 64.91/65.13 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 64.91/65.13 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 64.91/65.13 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 64.91/65.13 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 64.91/65.13 (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)))))))))))) % 64.91/65.13 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 64.91/65.13 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t50)))) % 64.91/65.13 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 64.91/65.13 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 64.91/65.13 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 64.91/65.13 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t78 @t1))))))))) % 64.91/65.13 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 64.91/65.13 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t50)))) % 64.91/65.13 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 @t79) (tptp.segmentP @t2 @t12))))))))) % 64.91/65.13 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 @t80) @t3)))))) % 64.91/65.13 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 64.91/65.13 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t30 (tptp.segmentP (tptp.app @t78 @t10) @t1))))))))))) % 64.91/65.13 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 64.91/65.13 (assume @p58 @t83) % 64.91/65.13 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t84)))) % 64.91/65.13 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 64.91/65.13 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t84)))) % 64.91/65.13 (assume @p62 (tptp.totalorderP tptp.nil)) % 64.91/65.13 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t84)))) % 64.91/65.13 (assume @p64 (tptp.strictorderP tptp.nil)) % 64.91/65.13 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t84)))) % 64.91/65.13 (assume @p66 (tptp.totalorderedP tptp.nil)) % 64.91/65.13 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t88) (or @t86 (and @t87 (tptp.totalorderedP @t1) (tptp.leq @t2 @t85))))))))) % 64.91/65.13 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t84)))) % 64.91/65.13 (assume @p69 (tptp.strictorderedP tptp.nil)) % 64.91/65.13 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t88) (or @t86 (and @t87 (tptp.strictorderedP @t1) (tptp.lt @t2 @t85))))))))) % 64.91/65.13 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t84)))) % 64.91/65.13 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 64.91/65.13 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t84)))) % 64.91/65.13 (assume @p74 (tptp.equalelemsP tptp.nil)) % 64.91/65.13 (assume @p75 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t6 (= @t51 @t1))))))) % 64.91/65.13 (assume @p76 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t27 (= @t62 @t1))))))) % 64.91/65.13 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t87 @t53 (= @t85 @t51) (= (tptp.tl @t1) @t62)) @t48)))))) % 64.91/65.13 (assume @p78 (forall @t9 (=> @t17 (=> @t53 (= (tptp.cons @t51 @t62) @t2))))) % 64.91/65.13 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t63) @t89)))))))) % 64.91/65.13 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t64) @t89)))))))) % 64.91/65.13 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t46 (tptp.app @t18 @t2))))))) % 64.91/65.13 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t63 @t12) (tptp.app @t2 @t25))))))))) % 64.91/65.13 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t63) (and @t86 @t50))))))) % 64.91/65.13 (assume @p84 @t92) % 64.91/65.13 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t53 (= (tptp.hd @t63) @t51))))))) % 64.91/65.13 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t53 (= (tptp.tl @t63) (tptp.app @t62 @t1)))))))) % 64.91/65.13 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t70 (tptp.geq @t1 @t2)) @t3)))))) % 64.91/65.13 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t70 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 64.91/65.13 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 64.91/65.13 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 64.91/65.13 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t69 @t41) @t73)))))))) % 64.91/65.13 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t69 (or @t3 @t72))))))) % 64.91/65.13 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 (and @t4 @t69))))))) % 64.91/65.13 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (not (tptp.gt @t1 @t2)))))))) % 64.91/65.13 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t74 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 64.91/65.13 (assume @p96 @t129) % 64.91/65.13 (assume @p97 true) % 64.91/65.13 (step @p98 :rule aci_norm :args ((= @t151 @t149))) % 64.91/65.13 (step @p99 :rule cong :premises (@p98) :args (@t153)) % 64.91/65.13 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t155) @t153))) % 64.91/65.13 (step @p101 :rule alpha_equiv :args (@t156 (@list @t130) @t157)) % 64.91/65.13 (step @p102 :rule refl :args (@t146)) % 64.91/65.13 (step @p103 :rule refl :args (@t147)) % 64.91/65.13 (step @p104 :rule refl :args (@t148)) % 64.91/65.13 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101) :args (@t158)) % 64.91/65.13 (step @p106 :rule quant-miniscope-or :args ((= @t155 @t158))) % 64.91/65.13 (step @p107 :rule trans :premises (@p106 @p105)) % 64.91/65.13 (step @p108 :rule symm :premises (@p107)) % 64.91/65.13 (step @p109 :rule cong :premises (@p108) :args ((forall @t9 @t165))) % 64.91/65.13 (step @p110 :rule trans :premises (@p109 @p100)) % 64.91/65.13 (step @p111 :rule trans :premises (@p110 @p99)) % 64.91/65.13 (step @p112 :rule aci_norm :args ((= (or @t148 @t166) @t165))) % 64.91/65.13 (step @p113 :rule bool-impl-elim :args (@t17 @t166)) % 64.91/65.13 (step @p114 :rule trans :premises (@p113 @p112)) % 64.91/65.13 (step @p115 :rule cong :premises (@p114) :args ((forall @t9 (=> @t17 @t166)))) % 64.91/65.13 (step @p116 :rule trans :premises (@p115 @p111)) % 64.91/65.13 (step @p117 :rule quant-miniscope-or :args ((= (forall @t7 @t167) @t166))) % 64.91/65.13 (step @p118 :rule aci_norm :args ((= @t168 @t167))) % 64.91/65.13 (step @p119 :rule cong :premises (@p118) :args ((forall @t7 @t168))) % 64.91/65.13 (step @p120 :rule trans :premises (@p119 @p117)) % 64.91/65.13 (step @p121 :rule aci_norm :args ((= (or @t162 @t169) @t168))) % 64.91/65.13 (step @p122 :rule bool-impl-elim :args (@t27 @t169)) % 64.91/65.13 (step @p123 :rule trans :premises (@p122 @p121)) % 64.91/65.13 (step @p124 :rule cong :premises (@p123) :args ((forall @t7 (=> @t27 @t169)))) % 64.91/65.13 (step @p125 :rule trans :premises (@p124 @p120)) % 64.91/65.13 (step @p126 :rule aci_norm :args ((= (or @t147 @t146 @t162 @t170) @t169))) % 64.91/65.13 (step @p127 :rule aci_norm :args ((= (or @t148 false @t161 @t160) @t170))) % 64.91/65.13 (step @p128 :rule refl :args (@t160)) % 64.91/65.13 (step @p129 :rule refl :args (@t161)) % 64.91/65.13 (step @p130 :rule evaluate :args ((not true))) % 64.91/65.13 (step @p131 :rule eq-refl :args (@t2)) % 64.91/65.13 (step @p132 :rule cong :premises (@p131) :args (@t171)) % 64.91/65.13 (step @p133 :rule trans :premises (@p132 @p130)) % 64.91/65.13 (step @p134 :rule refl :args (@t148)) % 64.91/65.13 (step @p135 :rule nary_cong :premises (@p134 @p133 @p129 @p128) :args (@t172)) % 64.91/65.13 (step @p136 :rule trans :premises (@p135 @p127)) % 64.91/65.13 (step @p137 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t89) @t175 @t118 @t174 @t173)) @t172))) % 64.91/65.13 (step @p138 :rule refl :args (@t173)) % 64.91/65.13 (step @p139 :rule refl :args (@t174)) % 64.91/65.13 (step @p140 :rule refl :args (@t118)) % 64.91/65.13 (step @p141 :rule refl :args (@t175)) % 64.91/65.13 (step @p142 :rule eq-symm :args (@t2 @t12)) % 64.91/65.13 (step @p143 :rule cong :premises (@p142) :args (@t118)) % 64.91/65.13 (step @p144 :rule nary_cong :premises (@p143 @p141 @p140 @p139 @p138) :args (@t176)) % 64.91/65.13 (step @p145 :rule aci_norm :args ((= @t177 @t176))) % 64.91/65.13 (step @p146 :rule trans :premises (@p145 @p144)) % 64.91/65.13 (step @p147 :rule cong :premises (@p146) :args (@t178)) % 64.91/65.13 (step @p148 :rule trans :premises (@p147 @p137)) % 64.91/65.13 (step @p149 :rule trans :premises (@p148 @p136)) % 64.91/65.13 (step @p150 :rule refl :args (@t162)) % 64.91/65.13 (step @p151 :rule refl :args (@t146)) % 64.91/65.13 (step @p152 :rule refl :args (@t147)) % 64.91/65.13 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150 @p149) :args (@t179)) % 64.91/65.13 (step @p154 :rule trans :premises (@p153 @p126)) % 64.91/65.13 (step @p155 :rule quant-miniscope-or :args ((= (forall @t16 @t180) @t179))) % 64.91/65.13 (step @p156 :rule aci_norm :args ((= @t181 @t180))) % 64.91/65.13 (step @p157 :rule cong :premises (@p156) :args ((forall @t16 @t181))) % 64.91/65.13 (step @p158 :rule trans :premises (@p157 @p155)) % 64.91/65.13 (step @p159 :rule trans :premises (@p158 @p154)) % 64.91/65.13 (step @p160 :rule aci_norm :args ((= (or @t175 @t182) @t181))) % 64.91/65.13 (step @p161 :rule bool-impl-elim :args (@t15 @t182)) % 64.91/65.13 (step @p162 :rule trans :premises (@p161 @p160)) % 64.91/65.13 (step @p163 :rule cong :premises (@p162) :args ((forall @t16 (=> @t15 @t182)))) % 64.91/65.13 (step @p164 :rule trans :premises (@p163 @p159)) % 64.91/65.13 (step @p165 :rule aci_norm :args ((= (or @t118 @t147 @t146 @t183) @t182))) % 64.91/65.13 (step @p166 :rule aci_norm :args ((= (or @t162 false @t174 @t173) @t183))) % 64.91/65.13 (step @p167 :rule refl :args (@t173)) % 64.91/65.13 (step @p168 :rule refl :args (@t174)) % 64.91/65.13 (step @p169 :rule eq-refl :args (@t1)) % 64.91/65.13 (step @p170 :rule cong :premises (@p169) :args (@t184)) % 64.91/65.13 (step @p171 :rule trans :premises (@p170 @p130)) % 64.91/65.13 (step @p172 :rule nary_cong :premises (@p150 @p171 @p168 @p167) :args (@t185)) % 64.91/65.13 (step @p173 :rule trans :premises (@p172 @p166)) % 64.91/65.13 (step @p174 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t186 @t119 @t117 @t94)) @t185))) % 64.91/65.13 (step @p175 :rule refl :args (@t94)) % 64.91/65.13 (step @p176 :rule refl :args (@t117)) % 64.91/65.13 (step @p177 :rule refl :args (@t119)) % 64.91/65.13 (step @p178 :rule refl :args (@t186)) % 64.91/65.13 (step @p179 :rule eq-symm :args (@t1 @t10)) % 64.91/65.13 (step @p180 :rule cong :premises (@p179) :args (@t119)) % 64.91/65.13 (step @p181 :rule nary_cong :premises (@p180 @p178 @p177 @p176 @p175) :args (@t187)) % 64.91/65.13 (step @p182 :rule aci_norm :args ((= @t188 @t187))) % 64.91/65.13 (step @p183 :rule trans :premises (@p182 @p181)) % 64.91/65.13 (step @p184 :rule cong :premises (@p183) :args (@t189)) % 64.91/65.13 (step @p185 :rule trans :premises (@p184 @p174)) % 64.91/65.13 (step @p186 :rule trans :premises (@p185 @p173)) % 64.91/65.13 (step @p187 :rule refl :args (@t118)) % 64.91/65.13 (step @p188 :rule nary_cong :premises (@p187 @p152 @p151 @p186) :args (@t190)) % 64.91/65.13 (step @p189 :rule trans :premises (@p188 @p165)) % 64.91/65.13 (step @p190 :rule quant-miniscope-or :args ((= (forall @t14 @t191) @t190))) % 64.91/65.13 (step @p191 :rule aci_norm :args ((= @t192 @t191))) % 64.91/65.13 (step @p192 :rule cong :premises (@p191) :args ((forall @t14 @t192))) % 64.91/65.13 (step @p193 :rule trans :premises (@p192 @p190)) % 64.91/65.13 (step @p194 :rule trans :premises (@p193 @p189)) % 64.91/65.13 (step @p195 :rule aci_norm :args ((= (or @t186 @t193) @t192))) % 64.91/65.13 (step @p196 :rule bool-impl-elim :args (@t13 @t193)) % 64.91/65.13 (step @p197 :rule trans :premises (@p196 @p195)) % 64.91/65.13 (step @p198 :rule cong :premises (@p197) :args ((forall @t14 (=> @t13 @t193)))) % 64.91/65.13 (step @p199 :rule trans :premises (@p198 @p194)) % 64.91/65.13 (step @p200 :rule refl :args (@t94)) % 64.91/65.13 (step @p201 :rule aci_norm :args ((= @t195 @t144))) % 64.91/65.13 (step @p202 :rule cong :premises (@p201) :args (@t196)) % 64.91/65.13 (step @p203 :rule quant-merge-prenex :args ((= (forall @t39 @t198) @t196))) % 64.91/65.13 (step @p204 :rule alpha_equiv :args (@t199 (@list @t136 @t135) (@list @t33 @t200))) % 64.91/65.13 (step @p205 :rule refl :args (@t143)) % 64.91/65.13 (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t201)) % 64.91/65.13 (step @p207 :rule quant-miniscope-or :args ((= @t198 @t201))) % 64.91/65.13 (step @p208 :rule trans :premises (@p207 @p206)) % 64.91/65.13 (step @p209 :rule symm :premises (@p208)) % 64.91/65.13 (step @p210 :rule cong :premises (@p209) :args ((forall @t39 (or @t143 @t208)))) % 64.91/65.13 (step @p211 :rule trans :premises (@p210 @p203)) % 64.91/65.13 (step @p212 :rule trans :premises (@p211 @p202)) % 64.91/65.13 (step @p213 :rule bool-double-not-elim :args (@t208)) % 64.91/65.13 (step @p214 :rule nary_cong :premises (@p205 @p213) :args ((or @t143 (not @t209)))) % 64.91/65.13 (step @p215 :rule bool-and-de-morgan :args (@t114 @t209 true)) % 64.91/65.13 (step @p216 :rule trans :premises (@p215 @p214)) % 64.91/65.13 (step @p217 :rule cong :premises (@p216) :args (@t211)) % 64.91/65.13 (step @p218 :rule trans :premises (@p217 @p212)) % 64.91/65.13 (step @p219 :rule cong :premises (@p218) :args (@t212)) % 64.91/65.13 (step @p220 :rule exists-elim :args ((= (exists @t39 @t210) @t212))) % 64.91/65.13 (step @p221 :rule trans :premises (@p220 @p219)) % 64.91/65.13 (step @p222 :rule aci_norm :args ((= @t214 @t206))) % 64.91/65.13 (step @p223 :rule cong :premises (@p222) :args (@t215)) % 64.91/65.13 (step @p224 :rule quant-merge-prenex :args ((= (forall @t37 @t217) @t215))) % 64.91/65.13 (step @p225 :rule alpha_equiv :args (@t218 (@list @t200) (@list @t98))) % 64.91/65.13 (step @p226 :rule refl :args (@t205)) % 64.91/65.13 (step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t219)) % 64.91/65.13 (step @p228 :rule quant-miniscope-or :args ((= @t217 @t219))) % 64.91/65.13 (step @p229 :rule trans :premises (@p228 @p227)) % 64.91/65.13 (step @p230 :rule symm :premises (@p229)) % 64.91/65.13 (step @p231 :rule cong :premises (@p230) :args ((forall @t37 (or @t205 @t227)))) % 64.91/65.13 (step @p232 :rule trans :premises (@p231 @p224)) % 64.91/65.13 (step @p233 :rule trans :premises (@p232 @p223)) % 64.91/65.13 (step @p234 :rule bool-double-not-elim :args (@t227)) % 64.91/65.13 (step @p235 :rule nary_cong :premises (@p226 @p234) :args ((or @t205 (not @t228)))) % 64.91/65.13 (step @p236 :rule bool-and-de-morgan :args (@t36 @t228 true)) % 64.91/65.13 (step @p237 :rule trans :premises (@p236 @p235)) % 64.91/65.13 (step @p238 :rule cong :premises (@p237) :args (@t230)) % 64.91/65.13 (step @p239 :rule trans :premises (@p238 @p233)) % 64.91/65.13 (step @p240 :rule cong :premises (@p239) :args (@t231)) % 64.91/65.13 (step @p241 :rule exists-elim :args ((= (exists @t37 @t229) @t231))) % 64.91/65.13 (step @p242 :rule trans :premises (@p241 @p240)) % 64.91/65.13 (step @p243 :rule aci_norm :args ((= (or @t225 (or @t224 @t222)) @t226))) % 64.91/65.13 (step @p244 :rule bool-and-de-morgan :args (@t223 @t221 true)) % 64.91/65.13 (step @p245 :rule refl :args (@t225)) % 64.91/65.13 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or @t225 (not (and @t223 @t221))))) % 64.91/65.13 (step @p247 :rule bool-and-de-morgan :args (@t108 @t223 (and @t221))) % 64.91/65.13 (step @p248 :rule trans :premises (@p247 @p246)) % 64.91/65.13 (step @p249 :rule trans :premises (@p248 @p243)) % 64.91/65.13 (step @p250 :rule cong :premises (@p249) :args (@t233)) % 64.91/65.13 (step @p251 :rule cong :premises (@p250) :args (@t234)) % 64.91/65.13 (step @p252 :rule exists-elim :args ((= (exists @t110 @t232) @t234))) % 64.91/65.13 (step @p253 :rule trans :premises (@p252 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64.91/65.13 (step @p516 :rule cnf_or_neg :args (@t251 2)) % 64.91/65.13 (step @p517 :rule eq_resolve :premises (@p516 @p515)) % 64.91/65.13 (step @p518 :rule reordering :premises (@p517) :args ((or @t246 @t251))) % 64.91/65.13 (step @p519 :rule chain_m_resolution :premises (@p518 @p321) :args (@t246 @t261 @t262)) % 64.91/65.13 (step @p520 :rule aci_norm :args ((= @t349 @t348))) % 64.91/65.13 (step @p521 :rule cong :premises (@p520) :args (@t350)) % 64.91/65.13 (step @p522 :rule cong :premises (@p521) :args (@t351)) % 64.91/65.13 (step @p523 :rule eq-symm :args (@t352 @t238)) % 64.91/65.13 (step @p524 :rule cong :premises (@p523) :args (@t353)) % 64.91/65.13 (step @p525 :rule refl :args (@t355)) % 64.91/65.13 (step @p526 :rule nary_cong :premises (@p525 @p393 @p393 @p524 @p522) :args (@t356)) % 64.91/65.13 (step @p527 :rule refl :args (@t246)) % 64.91/65.13 (step @p528 :rule cong :premises (@p527 @p526) :args ((=> @t246 @t356))) % 64.91/65.13 (assume-push @p710 @t246) % 64.91/65.13 (step @p530 :rule instantiate :premises (@p519) :args ((@list @t344 tptp.nil tptp.nil))) % 64.91/65.13 (step-pop @p711 :rule scope :premises (@p530)) % 64.91/65.13 (step @p531 :rule process_scope :premises (@p711) :args (@t356)) % 64.91/65.13 (step @p533 :rule eq_resolve :premises (@p531 @p528)) % 64.91/65.13 (step @p534 :rule implies_elim :premises (@p533)) % 64.91/65.13 (step @p535 :rule chain_m_resolution :premises (@p534 @p519) :args (@t361 @t270 (@list @t246))) % 64.91/65.13 (step @p536 :rule bool-double-not-elim :args (@t363)) % 64.91/65.13 (step @p537 :rule refl :args (@t367)) % 64.91/65.13 (step @p538 :rule nary_cong :premises (@p537 @p536) :args ((or @t367 (not @t366)))) % 64.91/65.13 (step @p539 :rule cnf_or_neg :args (@t367 0)) % 64.91/65.13 (step @p540 :rule eq_resolve :premises (@p539 @p538)) % 64.91/65.13 (step @p541 :rule reordering :premises (@p540) :args ((or @t363 @t367))) % 64.91/65.13 (step @p542 :rule bool-double-not-elim :args (@t364)) % 64.91/65.13 (step @p543 :rule nary_cong :premises (@p537 @p542) :args ((or @t367 (not @t365)))) % 64.91/65.13 (step @p544 :rule cnf_or_neg :args (@t367 1)) % 64.91/65.13 (step @p545 :rule eq_resolve :premises (@p544 @p543)) % 64.91/65.13 (step @p546 :rule reordering :premises (@p545) :args ((or @t364 @t367))) % 64.91/65.13 (step @p547 :rule bool-impl-elim :args (@t8 @t76)) % 64.91/65.13 (step @p548 :rule cong :premises (@p547) :args (@t77)) % 64.91/65.13 (step @p549 :rule eq_resolve :premises (@p38 @p548)) % 64.91/65.13 (step @p550 :rule instantiate :premises (@p549) :args ((@list @t362))) % 64.91/65.13 (step @p551 :rule cnf_or_pos :args (@t368)) % 64.91/65.13 (step @p552 :rule reordering :premises (@p551) :args ((or @t366 @t365 (not @t368)))) % 64.91/65.13 (step @p553 :rule chain_m_resolution :premises (@p552 @p550 @p546 @p541) :args (@t367 @t296 (@list @t368 @t364 @t363))) % 64.91/65.13 (step @p554 :rule refl :args (@t369)) % 64.91/65.13 (step @p555 :rule bool-double-not-elim :args (@t357)) % 64.91/65.13 (step @p556 :rule nary_cong :premises (@p555 @p554) :args ((or (not @t358) @t369))) % 64.91/65.13 (assume-push @p712 @t358) % 64.91/65.13 (step @p558 :rule skolemize :premises (@p712)) % 64.91/65.13 (step-pop @p713 :rule scope :premises (@p558)) % 64.91/65.13 (step @p559 :rule process_scope :premises (@p713) :args (@t369)) % 64.91/65.13 (step @p561 :rule implies_elim :premises (@p559)) % 64.91/65.13 (step @p562 :rule eq_resolve :premises (@p561 @p556)) % 64.91/65.13 (step @p563 :rule chain_m_resolution :premises (@p562 @p553) :args (@t357 @t270 (@list @t367))) % 64.91/65.13 (step @p564 :rule aci_norm :args ((= (or @t148 (or @t147 @t52)) @t370))) % 64.91/65.13 (step @p565 :rule refl :args (@t52)) % 64.91/65.13 (step @p566 :rule bool-double-not-elim :args (@t147)) % 64.91/65.13 (step @p567 :rule nary_cong :premises (@p566 @p565) :args ((or (not @t371) @t52))) % 64.91/65.13 (step @p568 :rule bool-impl-elim :args (@t371 @t52)) % 64.91/65.13 (step @p569 :rule trans :premises (@p568 @p567)) % 64.91/65.13 (step @p570 :rule nary_cong :premises (@p104 @p569) :args ((or @t148 @t372))) % 64.91/65.13 (step @p571 :rule trans :premises (@p570 @p564)) % 64.91/65.13 (step @p572 :rule bool-impl-elim :args (@t17 @t372)) % 64.91/65.13 (step @p573 :rule trans :premises (@p572 @p571)) % 64.91/65.13 (step @p574 :rule cong :premises (@p573) :args ((forall @t9 (=> @t17 @t372)))) % 64.91/65.13 (step @p575 :rule refl :args (@t52)) % 64.91/65.13 (step @p576 :rule cong :premises (@p271) :args (@t53)) % 64.91/65.13 (step @p577 :rule cong :premises (@p576 @p575) :args (@t54)) % 64.91/65.13 (step @p578 :rule cong :premises (@p287 @p577) :args (@t55)) % 64.91/65.13 (step @p579 :rule cong :premises (@p578) :args (@t56)) % 64.91/65.13 (step @p580 :rule trans :premises (@p579 @p574)) % 64.91/65.13 (step @p581 :rule eq_resolve :premises (@p22 @p580)) % 64.91/65.13 (step @p582 :rule refl :args (@t354)) % 64.91/65.13 (step @p583 :rule nary_cong :premises (@p309 @p308 @p582) :args (@t373)) % 64.91/65.13 (step @p584 :rule refl :args (@t374)) % 64.91/65.13 (step @p585 :rule cong :premises (@p584 @p583) :args ((=> @t374 @t373))) % 64.91/65.13 (assume-push @p714 @t374) % 64.91/65.13 (step @p587 :rule instantiate :premises (@p581) :args (@t267)) % 64.91/65.13 (step-pop @p715 :rule scope :premises (@p587)) % 64.91/65.13 (step @p588 :rule process_scope :premises (@p715) :args (@t373)) % 64.91/65.13 (step @p590 :rule eq_resolve :premises (@p588 @p585)) % 64.91/65.13 (step @p591 :rule implies_elim :premises (@p590)) % 64.91/65.13 (step @p592 :rule chain_m_resolution :premises (@p591 @p581) :args (@t375 @t270 (@list @t374))) % 64.91/65.13 (step @p593 :rule cnf_or_pos :args (@t375)) % 64.91/65.13 (step @p594 :rule reordering :premises (@p593) :args ((or @t250 @t248 @t354 (not @t375)))) % 64.91/65.13 (step @p595 :rule chain_m_resolution :premises (@p594 @p360 @p365 @p592) :args (@t354 @t376 (@list @t249 @t248 @t375))) % 64.91/65.13 (step @p596 :rule cnf_or_pos :args (@t361)) % 64.91/65.13 (step @p597 :rule factoring :premises (@p596)) % 64.91/65.13 (step @p598 :rule reordering :premises (@p597) :args ((or @t289 @t355 @t360 @t358 (not @t361)))) % 64.91/65.13 (step @p599 :rule chain_m_resolution :premises (@p598 @p17 @p595 @p563 @p535) :args (@t360 (@list false false false false) (@list @t47 @t354 @t357 @t361))) % 64.91/65.13 (assume-push @p716 @t338) % 64.91/65.13 (assume-push @p717 @t342) % 64.91/65.13 (assume-push @p718 @t317) % 64.91/65.13 (assume-push @p719 @t334) % 64.91/65.13 (assume-push @p720 @t317) % 64.91/65.13 (assume-push @p721 @t334) % 64.91/65.13 (assume-push @p722 @t338) % 64.91/65.13 (assume-push @p723 @t342) % 64.91/65.13 (step @p608 :rule refl :args (tptp.nil)) % 64.91/65.13 (step @p609 :rule symm :premises (@p718)) % 64.91/65.13 (step @p610 :rule cong :premises (@p609) :args (@t333)) % 64.91/65.13 (step @p611 :rule trans :premises (@p719 @p610)) % 64.91/65.13 (step @p612 :rule cong :premises (@p611 @p608) :args (@t316)) % 64.91/65.13 (step @p613 :rule trans :premises (@p718 @p612)) % 64.91/65.13 (step @p614 :rule cong :premises (@p608 @p613) :args (@t337)) % 64.91/65.13 (step @p615 :rule trans :premises (@p502 @p614)) % 64.91/65.13 (step @p616 :rule cong :premises (@p615 @p608) :args (@t341)) % 64.91/65.13 (step @p617 :rule trans :premises (@p513 @p616)) % 64.91/65.13 (step-pop @p724 :rule scope :premises (@p617)) % 64.91/65.13 (step-pop @p725 :rule scope :premises (@p724)) % 64.91/65.13 (step-pop @p726 :rule scope :premises (@p725)) % 64.91/65.13 (step-pop @p727 :rule scope :premises (@p726)) % 64.91/65.13 (step @p618 :rule process_scope :premises (@p727) :args (@t359)) % 64.91/65.13 (step @p623 :rule and_intro :premises (@p718 @p719 @p502 @p513)) % 64.91/65.13 (step @p624 :rule modus_ponens :premises (@p623 @p618)) % 64.91/65.13 (step-pop @p728 :rule scope :premises (@p624)) % 64.91/65.13 (step-pop @p729 :rule scope :premises (@p728)) % 64.91/65.13 (step-pop @p730 :rule scope :premises (@p729)) % 64.91/65.13 (step-pop @p731 :rule scope :premises (@p730)) % 64.91/65.13 (step @p625 :rule process_scope :premises (@p731) :args (@t359)) % 64.91/65.13 (step @p630 :rule implies_elim :premises (@p625)) % 64.91/65.13 (step @p631 :rule cnf_and_neg :args (@t377)) % 64.91/65.13 (step @p632 :rule resolution :premises (@p631 @p630) :args (true @t377)) % 64.91/65.13 (step @p633 :rule chain_m_resolution :premises (@p632 @p599 @p513 @p502 @p491 @p489 @p17 @p464 @p459) :args (@t320 (@list true false false false false false false false) (@list @t359 @t342 @t338 @t334 @t335 @t47 @t317 @t315))) % 64.91/65.13 (step @p634 :rule refl :args (@t378)) % 64.91/65.13 (step @p635 :rule bool-double-not-elim :args (@t310)) % 64.91/65.13 (step @p636 :rule nary_cong :premises (@p635 @p634) :args ((or (not @t311) @t378))) % 64.91/65.13 (step @p637 :rule eq-symm :args (@t316 @t238)) % 64.91/65.13 (step @p638 :rule cong :premises (@p637) :args (@t379)) % 64.91/65.13 (step @p639 :rule refl :args (@t319)) % 64.91/65.13 (step @p640 :rule nary_cong :premises (@p639 @p638) :args (@t380)) % 64.91/65.13 (step @p641 :rule cong :premises (@p640) :args (@t381)) % 64.91/65.13 (step @p642 :rule refl :args (@t311)) % 64.91/65.13 (step @p643 :rule cong :premises (@p642 @p641) :args ((=> @t311 @t381))) % 64.91/65.13 (assume-push @p732 @t311) % 64.91/65.13 (step @p645 :rule skolemize :premises (@p732)) % 64.91/65.13 (step-pop @p733 :rule scope :premises (@p645)) % 64.91/65.13 (step @p646 :rule process_scope :premises (@p733) :args (@t381)) % 64.91/65.13 (step @p648 :rule eq_resolve :premises (@p646 @p643)) % 64.91/65.13 (step @p649 :rule implies_elim :premises (@p648)) % 64.91/65.13 (step @p650 :rule eq_resolve :premises (@p649 @p636)) % 64.91/65.13 (step @p651 :rule chain_m_resolution :premises (@p650 @p633) :args (@t310 @t270 (@list @t320))) % 64.91/65.13 (step @p652 :rule cnf_equiv_pos1 :args (@t312)) % 64.91/65.13 (step @p653 :rule reordering :premises (@p652) :args ((or @t240 @t311 (not @t312)))) % 64.91/65.13 (step @p654 :rule chain_m_resolution :premises (@p653 @p651 @p453) :args (@t240 @t271 (@list @t310 @t312))) % 64.91/65.13 (step @p655 :rule refl :args (@t382)) % 64.91/65.13 (step @p656 :rule bool-double-not-elim :args (@t239)) % 64.91/65.13 (step @p657 :rule nary_cong :premises (@p296 @p656 @p655) :args ((or @t241 (not @t240) @t382))) % 64.91/65.13 (step @p658 :rule cnf_and_neg :args (@t241)) % 64.91/65.13 (step @p659 :rule eq_resolve :premises (@p658 @p657)) % 64.91/65.13 (step @p660 :rule reordering :premises (@p659) :args ((or @t239 @t241 @t382))) % 64.91/65.13 (step @p661 :rule chain_m_resolution :premises (@p660 @p654 @p414) :args (@t382 (@list true true) (@list @t239 @t241))) % 64.91/65.13 (step @p662 :rule bool-double-not-elim :args (@t292)) % 64.91/65.13 (step @p663 :rule refl :args (@t383)) % 64.91/65.13 (step @p664 :rule nary_cong :premises (@p663 @p391 @p662) :args ((or @t383 @t237 (not @t293)))) % 64.91/65.13 (step @p665 :rule cnf_equiv_pos2 :args (@t294)) % 64.91/65.13 (step @p666 :rule eq_resolve :premises (@p665 @p664)) % 64.91/65.13 (step @p667 :rule reordering :premises (@p666) :args ((or @t237 @t292 @t383))) % 64.91/65.13 (step @p668 :rule chain_m_resolution :premises (@p667 @p661 @p412) :args (@t292 @t273 (@list @t237 @t294))) % 64.91/65.13 (step @p669 :rule bool-double-not-elim :args (@t264)) % 64.91/65.13 (step @p670 :rule refl :args (@t293)) % 64.91/65.13 (step @p671 :rule nary_cong :premises (@p297 @p670 @p669) :args ((or @t243 @t293 (not @t272)))) % 64.91/65.13 (assume-push @p734 @t272) % 64.91/65.13 (assume-push @p735 @t292) % 64.91/65.13 (assume-push @p736 @t242) % 64.91/65.13 (step @p675 :rule evaluate :args ((= true false))) % 64.91/65.13 (step @p676 :rule false_intro :premises (@p368)) % 64.91/65.13 (step @p677 :rule refl :args (@t238)) % 64.91/65.13 (step @p678 :rule symm :premises (@p735)) % 64.91/65.13 (step @p679 :rule cong :premises (@p678 @p677) :args (@t242)) % 64.91/65.13 (step @p680 :rule true_intro :premises (@p328)) % 64.91/65.13 (step @p681 :rule symm :premises (@p680)) % 64.91/65.13 (step @p682 :rule trans :premises (@p681 @p679 @p676)) % 64.91/65.13 (step @p683 false :rule eq_resolve :premises (@p682 @p675)) % 64.91/65.13 (step-pop @p737 :rule scope :premises (@p683)) % 64.91/65.13 (step-pop @p738 :rule scope :premises (@p737)) % 64.91/65.13 (step-pop @p739 :rule scope :premises (@p738)) % 64.91/65.13 (step @p684 :rule process_scope :premises (@p739) :args (false)) % 64.91/65.13 (assume-push @p740 @t242) % 64.91/65.13 (assume-push @p741 @t292) % 64.91/65.13 (assume-push @p742 @t272) % 64.91/65.13 (step @p691 :rule and_intro :premises (@p368 @p741 @p328)) % 64.91/65.13 (step-pop @p743 :rule scope :premises (@p691)) % 64.91/65.13 (step-pop @p744 :rule scope :premises (@p743)) % 64.91/65.13 (step-pop @p745 :rule scope :premises (@p744)) % 64.91/65.13 (step @p692 :rule process_scope :premises (@p745) :args (@t384)) % 64.91/65.13 (step @p696 :rule implies_elim :premises (@p692)) % 64.91/65.13 (step @p697 :rule resolution :premises (@p696 @p684) :args (true @t384)) % 64.91/65.13 (step @p698 :rule not_and :premises (@p697)) % 64.91/65.13 (step @p699 :rule eq_resolve :premises (@p698 @p671)) % 64.91/65.13 (step @p700 :rule reordering :premises (@p699) :args ((or @t243 @t264 @t293))) % 64.91/65.13 (step @p701 false :rule chain_m_resolution :premises (@p700 @p668 @p368 @p328) :args (false @t376 (@list @t292 @t264 @t242))) % 64.91/65.13 ) % 64.91/65.13 % SZS output end Proof % 64.91/65.13 % cvc5 exiting %------------------------------------------------------------------------------