%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC417+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 : n010.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 08:59:14 AM UTC 2026 % Result : Theorem 35.22s 35.40s % Output : Proof 35.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC417+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n010.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 19:46:40 EDT 2026 % 0.14/0.34 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 35.22/35.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.22/35.40 --- Run --no-e-matching --full-saturate-quant at 6... % 35.22/35.40 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.22/35.40 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.22/35.40 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.22/35.40 % SZS status Theorem % 35.22/35.40 % SZS output start Proof % 35.22/35.40 ( % 35.22/35.40 (declare-sort $$unsorted 0) % 35.22/35.40 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 35.22/35.40 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 35.22/35.40 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 35.22/35.40 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 35.22/35.40 (declare-const tptp.nil $$unsorted) % 35.22/35.40 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.ssList (-> $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 35.22/35.40 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 35.22/35.40 (define @t1 () (@var "V" $$unsorted)) % 35.22/35.40 (define @t2 () (@var "U" $$unsorted)) % 35.22/35.40 (define @t3 () (= @t2 @t1)) % 35.22/35.40 (define @t4 () (not @t3)) % 35.22/35.40 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 35.22/35.40 (define @t6 () (tptp.ssItem @t1)) % 35.22/35.40 (define @t7 () (@list @t1)) % 35.22/35.40 (define @t8 () (tptp.ssItem @t2)) % 35.22/35.40 (define @t9 () (@list @t2)) % 35.22/35.40 (define @t10 () (@var "X" $$unsorted)) % 35.22/35.40 (define @t11 () (tptp.cons @t1 @t10)) % 35.22/35.40 (define @t12 () (@var "W" $$unsorted)) % 35.22/35.40 (define @t13 () (tptp.ssList @t10)) % 35.22/35.40 (define @t14 () (@list @t10)) % 35.22/35.40 (define @t15 () (tptp.ssList @t12)) % 35.22/35.40 (define @t16 () (@list @t12)) % 35.22/35.40 (define @t17 () (tptp.ssList @t2)) % 35.22/35.40 (define @t18 () (tptp.cons @t1 tptp.nil)) % 35.22/35.40 (define @t19 () (tptp.app @t1 @t12)) % 35.22/35.40 (define @t20 () (tptp.frontsegP @t2 @t1)) % 35.22/35.40 (define @t21 () (tptp.ssList @t1)) % 35.22/35.40 (define @t22 () (tptp.app @t12 @t1)) % 35.22/35.40 (define @t23 () (tptp.rearsegP @t2 @t1)) % 35.22/35.40 (define @t24 () (tptp.segmentP @t2 @t1)) % 35.22/35.40 (define @t25 () (tptp.leq @t12 @t1)) % 35.22/35.40 (define @t26 () (tptp.leq @t1 @t12)) % 35.22/35.40 (define @t27 () (@var "Z" $$unsorted)) % 35.22/35.40 (define @t28 () (@var "Y" $$unsorted)) % 35.22/35.40 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 35.22/35.40 (define @t30 () (tptp.ssList @t27)) % 35.22/35.40 (define @t31 () (@list @t27)) % 35.22/35.40 (define @t32 () (tptp.ssList @t28)) % 35.22/35.40 (define @t33 () (@list @t28)) % 35.22/35.40 (define @t34 () (tptp.ssItem @t12)) % 35.22/35.40 (define @t35 () (tptp.lt @t1 @t12)) % 35.22/35.40 (define @t36 () (= @t1 @t12)) % 35.22/35.40 (define @t37 () (tptp.cons @t1 @t2)) % 35.22/35.40 (define @t38 () (tptp.ssList @t37)) % 35.22/35.40 (define @t39 () (forall @t7 (=> @t6 @t38))) % 35.22/35.40 (define @t40 () (=> @t17 @t39)) % 35.22/35.40 (define @t41 () (forall @t9 @t40)) % 35.22/35.40 (define @t42 () (tptp.ssList tptp.nil)) % 35.22/35.40 (define @t43 () (= @t1 @t2)) % 35.22/35.40 (define @t44 () (tptp.cons @t12 @t1)) % 35.22/35.40 (define @t45 () (= tptp.nil @t2)) % 35.22/35.40 (define @t46 () (tptp.hd @t2)) % 35.22/35.40 (define @t47 () (not @t45)) % 35.22/35.40 (define @t48 () (tptp.tl @t2)) % 35.22/35.40 (define @t49 () (tptp.app @t2 @t1)) % 35.22/35.40 (define @t50 () (tptp.app @t1 @t2)) % 35.22/35.40 (define @t51 () (tptp.app tptp.nil @t2)) % 35.22/35.40 (define @t52 () (=> @t17 (= @t51 @t2))) % 35.22/35.40 (define @t53 () (forall @t9 @t52)) % 35.22/35.40 (define @t54 () (tptp.leq @t1 @t2)) % 35.22/35.40 (define @t55 () (tptp.leq @t2 @t1)) % 35.22/35.40 (define @t56 () (tptp.geq @t2 @t1)) % 35.22/35.40 (define @t57 () (tptp.lt @t1 @t2)) % 35.22/35.40 (define @t58 () (tptp.lt @t2 @t1)) % 35.22/35.40 (define @t59 () (tptp.lt @t2 @t12)) % 35.22/35.40 (define @t60 () (tptp.gt @t2 @t1)) % 35.22/35.40 (define @t61 () (tptp.memberP @t12 @t2)) % 35.22/35.40 (define @t62 () (tptp.app @t12 @t2)) % 35.22/35.40 (define @t63 () (tptp.cons @t2 tptp.nil)) % 35.22/35.40 (define @t64 () (tptp.hd @t1)) % 35.22/35.40 (define @t65 () (= tptp.nil @t1)) % 35.22/35.40 (define @t66 () (not @t65)) % 35.22/35.40 (define @t67 () (tptp.cons @t2 @t1)) % 35.22/35.40 (define @t68 () (= @t12 @t2)) % 35.22/35.40 (define @t69 () (tptp.app @t2 tptp.nil)) % 35.22/35.40 (define @t70 () (=> @t17 (= @t69 @t2))) % 35.22/35.40 (define @t71 () (forall @t9 @t70)) % 35.22/35.40 (define @t72 () (tptp.neq @t1 tptp.nil)) % 35.22/35.40 (define @t73 () (not @t72)) % 35.22/35.40 (define @t74 () (or @t73 (tptp.neq @t10 tptp.nil))) % 35.22/35.40 (define @t75 () (@var "X2" $$unsorted)) % 35.22/35.40 (define @t76 () (tptp.cons @t75 tptp.nil)) % 35.22/35.40 (define @t77 () (@var "X3" $$unsorted)) % 35.22/35.40 (define @t78 () (tptp.app @t77 @t76)) % 35.22/35.40 (define @t79 () (not (= @t78 @t12))) % 35.22/35.40 (define @t80 () (tptp.app @t76 @t77)) % 35.22/35.40 (define @t81 () (not (= @t80 @t10))) % 35.22/35.40 (define @t82 () (or @t81 @t79)) % 35.22/35.40 (define @t83 () (tptp.ssList @t77)) % 35.22/35.40 (define @t84 () (=> @t83 @t82)) % 35.22/35.40 (define @t85 () (@list @t77)) % 35.22/35.40 (define @t86 () (forall @t85 @t84)) % 35.22/35.40 (define @t87 () (tptp.ssItem @t75)) % 35.22/35.40 (define @t88 () (=> @t87 @t86)) % 35.22/35.40 (define @t89 () (@list @t75)) % 35.22/35.40 (define @t90 () (forall @t89 @t88)) % 35.22/35.40 (define @t91 () (tptp.cons @t28 tptp.nil)) % 35.22/35.40 (define @t92 () (@var "X1" $$unsorted)) % 35.22/35.40 (define @t93 () (tptp.app (tptp.app @t92 @t91) @t27)) % 35.22/35.40 (define @t94 () (tptp.app @t27 @t91)) % 35.22/35.40 (define @t95 () (tptp.app @t94 @t92)) % 35.22/35.40 (define @t96 () (tptp.ssList @t92)) % 35.22/35.40 (define @t97 () (and @t96 (= @t95 @t1) (= @t93 @t2))) % 35.22/35.40 (define @t98 () (@list @t92)) % 35.22/35.40 (define @t99 () (exists @t98 @t97)) % 35.22/35.40 (define @t100 () (and @t30 @t99)) % 35.22/35.40 (define @t101 () (exists @t31 @t100)) % 35.22/35.40 (define @t102 () (tptp.ssItem @t28)) % 35.22/35.40 (define @t103 () (and @t102 @t101)) % 35.22/35.40 (define @t104 () (exists @t33 @t103)) % 35.22/35.40 (define @t105 () (or @t73 @t104 @t90)) % 35.22/35.40 (define @t106 () (and @t105 @t74)) % 35.22/35.40 (define @t107 () (not (= @t2 @t12))) % 35.22/35.40 (define @t108 () (not (= @t1 @t10))) % 35.22/35.40 (define @t109 () (or @t108 @t107 @t106)) % 35.22/35.40 (define @t110 () (=> @t13 @t109)) % 35.22/35.40 (define @t111 () (forall @t14 @t110)) % 35.22/35.40 (define @t112 () (=> @t15 @t111)) % 35.22/35.40 (define @t113 () (forall @t16 @t112)) % 35.22/35.40 (define @t114 () (=> @t21 @t113)) % 35.22/35.40 (define @t115 () (forall @t7 @t114)) % 35.22/35.40 (define @t116 () (=> @t17 @t115)) % 35.22/35.40 (define @t117 () (forall @t9 @t116)) % 35.22/35.40 (define @t118 () (not @t117)) % 35.22/35.40 (define @t119 () (= @t2 @t51)) % 35.22/35.40 (define @t120 () (@var "BOUND_VARIABLE_11206" $$unsorted)) % 35.22/35.40 (define @t121 () (not (tptp.ssList @t120))) % 35.22/35.40 (define @t122 () (@var "BOUND_VARIABLE_11204" $$unsorted)) % 35.22/35.40 (define @t123 () (not (tptp.ssItem @t122))) % 35.22/35.40 (define @t124 () (tptp.cons @t122 tptp.nil)) % 35.22/35.40 (define @t125 () (tptp.app @t120 @t124)) % 35.22/35.40 (define @t126 () (@var "BOUND_VARIABLE_10997" $$unsorted)) % 35.22/35.40 (define @t127 () (@var "BOUND_VARIABLE_10999" $$unsorted)) % 35.22/35.40 (define @t128 () (tptp.app (tptp.app @t127 @t91) @t126)) % 35.22/35.40 (define @t129 () (tptp.app @t124 @t120)) % 35.22/35.40 (define @t130 () (tptp.app (tptp.app @t126 @t91) @t127)) % 35.22/35.40 (define @t131 () (not (= @t130 @t129))) % 35.22/35.40 (define @t132 () (not (tptp.ssList @t127))) % 35.22/35.40 (define @t133 () (not (tptp.ssList @t126))) % 35.22/35.40 (define @t134 () (not @t102)) % 35.22/35.40 (define @t135 () (@list @t28 @t126 @t127)) % 35.22/35.40 (define @t136 () (not (forall @t135 (or @t134 @t133 @t132 @t131 (not (= @t128 @t125)))))) % 35.22/35.40 (define @t137 () (not (tptp.neq @t129 tptp.nil))) % 35.22/35.40 (define @t138 () (not (tptp.ssList @t129))) % 35.22/35.40 (define @t139 () (not (tptp.ssList @t125))) % 35.22/35.40 (define @t140 () (or @t139 @t138 @t137 @t136 @t123 @t121)) % 35.22/35.40 (define @t141 () (@list @t122 @t120)) % 35.22/35.40 (define @t142 () (forall @t141 @t140)) % 35.22/35.40 (define @t143 () (@quantifiers_skolemize @t142 0)) % 35.22/35.40 (define @t144 () (tptp.cons @t143 tptp.nil)) % 35.22/35.40 (define @t145 () (@var "BOUND_VARIABLE_9149" $$unsorted)) % 35.22/35.40 (define @t146 () (tptp.ssList (tptp.cons @t145 @t2))) % 35.22/35.40 (define @t147 () (not (tptp.ssItem @t145))) % 35.22/35.40 (define @t148 () (not @t17)) % 35.22/35.40 (define @t149 () (or @t147 @t146)) % 35.22/35.40 (define @t150 () (or @t148 @t149)) % 35.22/35.40 (define @t151 () (forall (@list @t2 @t145) @t150)) % 35.22/35.40 (define @t152 () (@list @t145)) % 35.22/35.40 (define @t153 () (forall @t152 @t150)) % 35.22/35.40 (define @t154 () (forall @t152 @t149)) % 35.22/35.40 (define @t155 () (or @t148 @t154)) % 35.22/35.40 (define @t156 () (forall @t7 (or (not @t6) @t38))) % 35.22/35.40 (define @t157 () (not (= @t125 @t125))) % 35.22/35.40 (define @t158 () (not (= @t125 @t128))) % 35.22/35.40 (define @t159 () (or @t134 @t133 @t132 @t131 @t158)) % 35.22/35.40 (define @t160 () (forall @t135 @t159)) % 35.22/35.40 (define @t161 () (not @t160)) % 35.22/35.40 (define @t162 () (or @t139 @t138 @t137 @t161 @t123 @t121 @t157)) % 35.22/35.40 (define @t163 () (not (= @t2 @t125))) % 35.22/35.40 (define @t164 () (not (= @t2 @t128))) % 35.22/35.40 (define @t165 () (not (forall @t135 (or @t134 @t133 @t132 @t131 @t164)))) % 35.22/35.40 (define @t166 () (or @t163 @t148 @t138 @t137 @t165 @t123 @t121 @t163)) % 35.22/35.40 (define @t167 () (or @t148 @t138 @t137 @t165 @t123 @t121 @t163)) % 35.22/35.40 (define @t168 () (forall @t9 @t167)) % 35.22/35.40 (define @t169 () (forall @t141 @t168)) % 35.22/35.40 (define @t170 () (forall (@list @t122 @t120 @t2) @t167)) % 35.22/35.40 (define @t171 () (@list @t2 @t122 @t120)) % 35.22/35.40 (define @t172 () (or @t138 @t137 @t165 @t123 @t121 @t163)) % 35.22/35.40 (define @t173 () (or @t148 @t172)) % 35.22/35.40 (define @t174 () (forall @t171 @t173)) % 35.22/35.40 (define @t175 () (forall @t141 @t173)) % 35.22/35.40 (define @t176 () (forall @t141 @t172)) % 35.22/35.40 (define @t177 () (@var "BOUND_VARIABLE_11159" $$unsorted)) % 35.22/35.40 (define @t178 () (@var "BOUND_VARIABLE_11157" $$unsorted)) % 35.22/35.40 (define @t179 () (@list @t178 @t177)) % 35.22/35.40 (define @t180 () (or @t148 @t176)) % 35.22/35.40 (define @t181 () (tptp.cons @t178 tptp.nil)) % 35.22/35.40 (define @t182 () (not (= @t2 (tptp.app @t177 @t181)))) % 35.22/35.40 (define @t183 () (not (tptp.ssList @t177))) % 35.22/35.40 (define @t184 () (not (tptp.ssItem @t178))) % 35.22/35.40 (define @t185 () (tptp.app @t181 @t177)) % 35.22/35.40 (define @t186 () (not (forall @t135 (or @t134 @t133 @t132 (not (= @t130 @t185)) @t164)))) % 35.22/35.40 (define @t187 () (not (tptp.neq @t185 tptp.nil))) % 35.22/35.40 (define @t188 () (not (tptp.ssList @t185))) % 35.22/35.40 (define @t189 () (or @t188 @t187 @t186 @t184 @t183 @t182)) % 35.22/35.40 (define @t190 () (@list @t178 @t177)) % 35.22/35.40 (define @t191 () (or @t148 (forall @t190 @t189))) % 35.22/35.40 (define @t192 () (not (= @t185 @t185))) % 35.22/35.40 (define @t193 () (not (= @t185 @t130))) % 35.22/35.40 (define @t194 () (or @t134 @t133 @t132 @t193 @t164)) % 35.22/35.40 (define @t195 () (forall @t135 @t194)) % 35.22/35.40 (define @t196 () (not @t195)) % 35.22/35.40 (define @t197 () (or @t188 @t187 @t196 @t184 @t183 @t192 @t182)) % 35.22/35.40 (define @t198 () (not (= @t1 @t185))) % 35.22/35.40 (define @t199 () (not (= @t1 @t130))) % 35.22/35.40 (define @t200 () (or @t134 @t133 @t132 @t199 @t164)) % 35.22/35.40 (define @t201 () (not (forall @t135 @t200))) % 35.22/35.40 (define @t202 () (not @t21)) % 35.22/35.40 (define @t203 () (or @t198 @t202 @t73 @t201 @t184 @t183 @t198 @t182)) % 35.22/35.40 (define @t204 () (or @t202 @t73 @t201 @t184 @t183 @t198 @t182)) % 35.22/35.40 (define @t205 () (forall @t7 @t204)) % 35.22/35.40 (define @t206 () (forall @t190 @t205)) % 35.22/35.40 (define @t207 () (forall (@list @t178 @t177 @t1) @t204)) % 35.22/35.40 (define @t208 () (@list @t1 @t178 @t177)) % 35.22/35.40 (define @t209 () (or @t184 @t183 @t198 @t182)) % 35.22/35.40 (define @t210 () (or @t202 @t73 @t201 @t209)) % 35.22/35.40 (define @t211 () (forall @t208 @t210)) % 35.22/35.40 (define @t212 () (forall @t190 @t210)) % 35.22/35.40 (define @t213 () (forall @t190 @t209)) % 35.22/35.40 (define @t214 () (@var "BOUND_VARIABLE_11117" $$unsorted)) % 35.22/35.40 (define @t215 () (@var "BOUND_VARIABLE_11115" $$unsorted)) % 35.22/35.40 (define @t216 () (@list @t215 @t214)) % 35.22/35.40 (define @t217 () (or @t202 @t73 @t201 @t213)) % 35.22/35.40 (define @t218 () (tptp.cons @t215 tptp.nil)) % 35.22/35.40 (define @t219 () (tptp.app @t214 @t218)) % 35.22/35.40 (define @t220 () (not (= @t2 @t219))) % 35.22/35.40 (define @t221 () (not (= @t1 (tptp.app @t218 @t214)))) % 35.22/35.40 (define @t222 () (not (tptp.ssList @t214))) % 35.22/35.40 (define @t223 () (not (tptp.ssItem @t215))) % 35.22/35.40 (define @t224 () (or @t223 @t222 @t221 @t220)) % 35.22/35.40 (define @t225 () (@list @t215 @t214)) % 35.22/35.40 (define @t226 () (forall @t225 @t224)) % 35.22/35.40 (define @t227 () (or @t202 @t73 @t201 @t226)) % 35.22/35.40 (define @t228 () (forall @t7 @t227)) % 35.22/35.40 (define @t229 () (or @t148 @t228)) % 35.22/35.40 (define @t230 () (or @t148 @t227)) % 35.22/35.40 (define @t231 () (or @t202 @t73 @t201 @t148 @t226)) % 35.22/35.40 (define @t232 () (or @t148 @t226)) % 35.22/35.40 (define @t233 () (or @t148 @t224)) % 35.22/35.40 (define @t234 () (or @t148 @t223 @t222 @t221 @t220)) % 35.22/35.40 (define @t235 () (not (= @t2 @t2))) % 35.22/35.40 (define @t236 () (or @t148 @t235 @t223 @t222 @t221 @t220)) % 35.22/35.40 (define @t237 () (not (= @t12 @t219))) % 35.22/35.40 (define @t238 () (not @t15)) % 35.22/35.40 (define @t239 () (or @t107 @t238 @t107 @t223 @t222 @t221 @t237)) % 35.22/35.40 (define @t240 () (or @t238 @t107 @t223 @t222 @t221 @t237)) % 35.22/35.40 (define @t241 () (forall @t16 @t240)) % 35.22/35.40 (define @t242 () (forall @t225 @t241)) % 35.22/35.40 (define @t243 () (forall (@list @t215 @t214 @t12) @t240)) % 35.22/35.40 (define @t244 () (@list @t12 @t215 @t214)) % 35.22/35.40 (define @t245 () (or @t223 @t222 @t221 @t237)) % 35.22/35.40 (define @t246 () (or @t238 @t107 @t245)) % 35.22/35.40 (define @t247 () (forall @t244 @t246)) % 35.22/35.40 (define @t248 () (forall @t225 @t246)) % 35.22/35.40 (define @t249 () (forall @t225 @t245)) % 35.22/35.40 (define @t250 () (@var "BOUND_VARIABLE_11063" $$unsorted)) % 35.22/35.40 (define @t251 () (@var "BOUND_VARIABLE_11061" $$unsorted)) % 35.22/35.40 (define @t252 () (@list @t251 @t250)) % 35.22/35.40 (define @t253 () (or @t238 @t107 @t249)) % 35.22/35.40 (define @t254 () (tptp.cons @t251 tptp.nil)) % 35.22/35.40 (define @t255 () (not (= @t12 (tptp.app @t250 @t254)))) % 35.22/35.40 (define @t256 () (tptp.app @t254 @t250)) % 35.22/35.40 (define @t257 () (not (= @t1 @t256))) % 35.22/35.40 (define @t258 () (not (tptp.ssList @t250))) % 35.22/35.40 (define @t259 () (not (tptp.ssItem @t251))) % 35.22/35.40 (define @t260 () (or @t259 @t258 @t257 @t255)) % 35.22/35.40 (define @t261 () (@list @t251 @t250)) % 35.22/35.40 (define @t262 () (forall @t261 @t260)) % 35.22/35.40 (define @t263 () (or @t238 @t107 @t262)) % 35.22/35.40 (define @t264 () (forall @t16 @t263)) % 35.22/35.40 (define @t265 () (or @t202 @t73 @t201 @t264)) % 35.22/35.40 (define @t266 () (or @t202 @t73 @t201 @t263)) % 35.22/35.40 (define @t267 () (or @t238 @t107 @t202 @t73 @t201 @t262)) % 35.22/35.40 (define @t268 () (or @t107 @t202 @t73 @t201 @t262)) % 35.22/35.40 (define @t269 () (or @t202 @t73 @t201 @t262)) % 35.22/35.40 (define @t270 () (or @t202 @t73 @t201 @t260)) % 35.22/35.40 (define @t271 () (or @t202 @t73 @t201 @t259 @t258 @t257 @t255)) % 35.22/35.40 (define @t272 () (or @t73 @t201 @t259 @t258 @t257 @t255)) % 35.22/35.40 (define @t273 () (and @t272 true)) % 35.22/35.40 (define @t274 () (or @t202 @t273)) % 35.22/35.40 (define @t275 () (and @t272 (or @t73 @t72))) % 35.22/35.40 (define @t276 () (or @t202 @t275)) % 35.22/35.40 (define @t277 () (not (= @t1 @t1))) % 35.22/35.40 (define @t278 () (or @t202 @t277 @t275)) % 35.22/35.40 (define @t279 () (not (= @t10 @t256))) % 35.22/35.40 (define @t280 () (or @t73 @t201 @t259 @t258 @t279 @t255)) % 35.22/35.40 (define @t281 () (and @t280 @t74)) % 35.22/35.40 (define @t282 () (not @t13)) % 35.22/35.40 (define @t283 () (or @t108 @t282 @t108 @t281)) % 35.22/35.40 (define @t284 () (or @t282 @t108 @t281)) % 35.22/35.40 (define @t285 () (forall @t14 @t284)) % 35.22/35.40 (define @t286 () (forall @t261 @t285)) % 35.22/35.40 (define @t287 () (forall (@list @t251 @t250 @t10) @t284)) % 35.22/35.40 (define @t288 () (@list @t10 @t251 @t250)) % 35.22/35.40 (define @t289 () (or @t259 @t258 @t279 @t255)) % 35.22/35.40 (define @t290 () (or @t73 @t201 @t289)) % 35.22/35.40 (define @t291 () (and @t290 @t74)) % 35.22/35.40 (define @t292 () (or @t282 @t108 @t291)) % 35.22/35.40 (define @t293 () (forall @t288 @t292)) % 35.22/35.40 (define @t294 () (forall @t261 @t292)) % 35.22/35.40 (define @t295 () (forall @t261 @t74)) % 35.22/35.40 (define @t296 () (forall @t261 @t289)) % 35.22/35.40 (define @t297 () (@var "BOUND_VARIABLE_11035" $$unsorted)) % 35.22/35.40 (define @t298 () (or @t73 @t201 @t296)) % 35.22/35.40 (define @t299 () (forall @t261 @t290)) % 35.22/35.40 (define @t300 () (and @t299 @t295)) % 35.22/35.40 (define @t301 () (forall @t261 @t291)) % 35.22/35.40 (define @t302 () (or @t282 @t108 @t301)) % 35.22/35.40 (define @t303 () (not (= @t12 (tptp.app @t297 @t76)))) % 35.22/35.40 (define @t304 () (not (= @t10 (tptp.app @t76 @t297)))) % 35.22/35.40 (define @t305 () (not (tptp.ssList @t297))) % 35.22/35.40 (define @t306 () (not @t87)) % 35.22/35.40 (define @t307 () (or @t306 @t305 @t304 @t303)) % 35.22/35.40 (define @t308 () (@list @t75 @t297)) % 35.22/35.40 (define @t309 () (and (or @t73 @t201 (forall @t308 @t307)) @t74)) % 35.22/35.40 (define @t310 () (or @t282 @t108 @t309)) % 35.22/35.40 (define @t311 () (forall @t14 @t310)) % 35.22/35.40 (define @t312 () (or @t107 @t311)) % 35.22/35.40 (define @t313 () (or @t107 @t310)) % 35.22/35.40 (define @t314 () (or @t282 @t108 @t107 @t309)) % 35.22/35.40 (define @t315 () (or @t108 @t107 @t309)) % 35.22/35.40 (define @t316 () (or @t305 @t304 @t303)) % 35.22/35.40 (define @t317 () (or @t306 @t316)) % 35.22/35.40 (define @t318 () (forall @t308 @t317)) % 35.22/35.40 (define @t319 () (@list @t297)) % 35.22/35.40 (define @t320 () (forall @t319 @t317)) % 35.22/35.40 (define @t321 () (forall @t319 @t316)) % 35.22/35.40 (define @t322 () (or @t306 @t321)) % 35.22/35.40 (define @t323 () (not (= @t12 @t78))) % 35.22/35.40 (define @t324 () (not (= @t10 @t80))) % 35.22/35.40 (define @t325 () (not @t83)) % 35.22/35.41 (define @t326 () (or @t325 @t324 @t323)) % 35.22/35.41 (define @t327 () (forall @t85 @t326)) % 35.22/35.41 (define @t328 () (or @t324 @t323)) % 35.22/35.41 (define @t329 () (or @t133 @t132 @t199 @t164)) % 35.22/35.41 (define @t330 () (or @t134 @t329)) % 35.22/35.41 (define @t331 () (forall @t135 @t330)) % 35.22/35.41 (define @t332 () (@list @t126 @t127)) % 35.22/35.41 (define @t333 () (forall @t332 @t330)) % 35.22/35.41 (define @t334 () (forall @t332 @t329)) % 35.22/35.41 (define @t335 () (@var "BOUND_VARIABLE_10971" $$unsorted)) % 35.22/35.41 (define @t336 () (or @t134 @t334)) % 35.22/35.41 (define @t337 () (not (= @t2 (tptp.app (tptp.app @t335 @t91) @t27)))) % 35.22/35.41 (define @t338 () (not (= @t1 (tptp.app @t94 @t335)))) % 35.22/35.41 (define @t339 () (not (tptp.ssList @t335))) % 35.22/35.41 (define @t340 () (not @t30)) % 35.22/35.41 (define @t341 () (or @t340 @t339 @t338 @t337)) % 35.22/35.41 (define @t342 () (@list @t27 @t335)) % 35.22/35.41 (define @t343 () (forall @t342 @t341)) % 35.22/35.41 (define @t344 () (not @t343)) % 35.22/35.41 (define @t345 () (and @t102 @t344)) % 35.22/35.41 (define @t346 () (forall @t33 (not @t345))) % 35.22/35.41 (define @t347 () (not @t346)) % 35.22/35.41 (define @t348 () (or @t339 @t338 @t337)) % 35.22/35.41 (define @t349 () (or @t340 @t348)) % 35.22/35.41 (define @t350 () (forall @t342 @t349)) % 35.22/35.41 (define @t351 () (@list @t335)) % 35.22/35.41 (define @t352 () (forall @t351 @t349)) % 35.22/35.41 (define @t353 () (forall @t351 @t348)) % 35.22/35.41 (define @t354 () (or @t340 @t353)) % 35.22/35.41 (define @t355 () (= @t2 @t93)) % 35.22/35.41 (define @t356 () (not @t355)) % 35.22/35.41 (define @t357 () (= @t1 @t95)) % 35.22/35.41 (define @t358 () (not @t357)) % 35.22/35.41 (define @t359 () (not @t96)) % 35.22/35.41 (define @t360 () (or @t359 @t358 @t356)) % 35.22/35.41 (define @t361 () (forall @t98 @t360)) % 35.22/35.41 (define @t362 () (not @t361)) % 35.22/35.41 (define @t363 () (and @t30 @t362)) % 35.22/35.41 (define @t364 () (forall @t31 (not @t363))) % 35.22/35.41 (define @t365 () (not @t364)) % 35.22/35.41 (define @t366 () (and @t96 @t357 @t355)) % 35.22/35.41 (define @t367 () (forall @t98 (not @t366))) % 35.22/35.41 (define @t368 () (not @t367)) % 35.22/35.41 (define @t369 () (tptp.ssItem @t143)) % 35.22/35.41 (define @t370 () (@quantifiers_skolemize @t142 1)) % 35.22/35.41 (define @t371 () (tptp.ssList @t370)) % 35.22/35.41 (define @t372 () (not @t371)) % 35.22/35.41 (define @t373 () (not @t369)) % 35.22/35.41 (define @t374 () (tptp.app @t370 @t144)) % 35.22/35.41 (define @t375 () (tptp.app @t144 @t370)) % 35.22/35.41 (define @t376 () (forall @t135 (or @t134 @t133 @t132 (not (= @t130 @t375)) (not (= @t128 @t374))))) % 35.22/35.41 (define @t377 () (not @t376)) % 35.22/35.41 (define @t378 () (tptp.ssList @t374)) % 35.22/35.41 (define @t379 () (not @t378)) % 35.22/35.41 (define @t380 () (or @t379 (not (tptp.ssList @t375)) (not (tptp.neq @t375 tptp.nil)) @t377 @t373 @t372)) % 35.22/35.41 (define @t381 () (@list true)) % 35.22/35.41 (define @t382 () (@list @t380)) % 35.22/35.41 (define @t383 () (tptp.ssList @t144)) % 35.22/35.41 (define @t384 () (not @t42)) % 35.22/35.41 (define @t385 () (or @t384 @t373 @t383)) % 35.22/35.41 (define @t386 () (tptp.app tptp.nil @t144)) % 35.22/35.41 (define @t387 () (= @t144 @t386)) % 35.22/35.41 (define @t388 () (not @t383)) % 35.22/35.41 (define @t389 () (or @t388 @t387)) % 35.22/35.41 (define @t390 () (@list false false)) % 35.22/35.41 (define @t391 () (@list @t383 @t389)) % 35.22/35.41 (define @t392 () (tptp.app @t374 tptp.nil)) % 35.22/35.41 (define @t393 () (not (= @t392 @t374))) % 35.22/35.41 (define @t394 () (tptp.app @t386 @t370)) % 35.22/35.41 (define @t395 () (not (= @t394 @t375))) % 35.22/35.41 (define @t396 () (or @t373 @t384 @t372 @t395 @t393)) % 35.22/35.41 (define @t397 () (= @t374 @t392)) % 35.22/35.41 (define @t398 () (not @t397)) % 35.22/35.41 (define @t399 () (= @t375 @t394)) % 35.22/35.41 (define @t400 () (not @t399)) % 35.22/35.41 (define @t401 () (or @t373 @t384 @t372 @t400 @t398)) % 35.22/35.41 (define @t402 () (= @t2 @t69)) % 35.22/35.41 (define @t403 () (or @t379 @t397)) % 35.22/35.41 (define @t404 () (not @t387)) % 35.22/35.41 (define @t405 () (and @t400 @t399)) % 35.22/35.41 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 35.22/35.41 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 35.22/35.41 (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))))))))))) % 35.22/35.41 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 35.22/35.41 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 35.22/35.41 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 35.22/35.41 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 35.22/35.41 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 35.22/35.41 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 35.22/35.41 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 35.22/35.41 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 35.22/35.41 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 35.22/35.41 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 35.22/35.41 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 35.22/35.41 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 35.22/35.41 (assume @p16 @t41) % 35.22/35.41 (assume @p17 @t42) % 35.22/35.41 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 35.22/35.41 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t43))))))))))) % 35.22/35.41 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 35.22/35.41 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 35.22/35.41 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 35.22/35.41 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 35.22/35.41 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 35.22/35.41 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 35.22/35.41 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 35.22/35.41 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 35.22/35.41 (assume @p28 @t53) % 35.22/35.41 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t55 @t54) @t3)))))) % 35.22/35.41 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t26) (tptp.leq @t2 @t12))))))))) % 35.22/35.41 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 35.22/35.41 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t54)))))) % 35.22/35.41 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (not @t57))))))) % 35.22/35.41 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t58 @t35) @t59)))))))) % 35.22/35.41 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 @t57)))))) % 35.22/35.41 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t61))))))))) % 35.22/35.41 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t61))))))))) % 35.22/35.41 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 35.22/35.41 (assume @p39 (not (tptp.singletonP tptp.nil))) % 35.22/35.41 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 35.22/35.41 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 35.22/35.41 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 35.22/35.41 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 35.22/35.41 (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)))))))))))) % 35.22/35.41 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 35.22/35.41 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 35.22/35.41 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 35.22/35.41 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 35.22/35.41 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 35.22/35.41 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t62 @t1))))))))) % 35.22/35.41 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 35.22/35.41 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 35.22/35.41 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 35.22/35.41 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 35.22/35.41 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 35.22/35.41 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t62 @t10) @t1))))))))))) % 35.22/35.41 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 35.22/35.41 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 35.22/35.41 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t63)))) % 35.22/35.41 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 35.22/35.41 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t63)))) % 35.22/35.41 (assume @p62 (tptp.totalorderP tptp.nil)) % 35.22/35.41 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t63)))) % 35.22/35.41 (assume @p64 (tptp.strictorderP tptp.nil)) % 35.22/35.41 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t63)))) % 35.22/35.41 (assume @p66 (tptp.totalorderedP tptp.nil)) % 35.22/35.41 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t67) (or @t65 (and @t66 (tptp.totalorderedP @t1) (tptp.leq @t2 @t64))))))))) % 35.22/35.41 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t63)))) % 35.22/35.41 (assume @p69 (tptp.strictorderedP tptp.nil)) % 35.22/35.41 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t67) (or @t65 (and @t66 (tptp.strictorderedP @t1) (tptp.lt @t2 @t64))))))))) % 35.22/35.41 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t63)))) % 35.22/35.41 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 35.22/35.41 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t63)))) % 35.22/35.41 (assume @p74 (tptp.equalelemsP tptp.nil)) % 35.22/35.41 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 35.22/35.41 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 35.22/35.41 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t66 @t47 (= @t64 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 35.22/35.41 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 35.22/35.41 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t68)))))))) % 35.22/35.41 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t68)))))))) % 35.22/35.41 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 35.22/35.41 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 35.22/35.41 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t49) (and @t65 @t45))))))) % 35.22/35.41 (assume @p84 @t71) % 35.22/35.41 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 35.22/35.41 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 35.22/35.41 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t56 (tptp.geq @t1 @t2)) @t3)))))) % 35.22/35.41 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 35.22/35.41 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 35.22/35.41 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 35.22/35.41 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t59)))))))) % 35.22/35.41 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (or @t3 @t58))))))) % 35.22/35.41 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 (and @t4 @t55))))))) % 35.22/35.41 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (not (tptp.gt @t1 @t2)))))))) % 35.22/35.41 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 35.22/35.41 (assume @p96 @t118) % 35.22/35.41 (assume @p97 true) % 35.22/35.41 (step @p98 :rule bool-impl-elim :args (@t17 @t119)) % 35.22/35.41 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t119)))) % 35.22/35.41 (step @p100 :rule eq-symm :args (@t51 @t2)) % 35.22/35.41 (step @p101 :rule refl :args (@t17)) % 35.22/35.41 (step @p102 :rule cong :premises (@p101 @p100) :args (@t52)) % 35.22/35.41 (step @p103 :rule cong :premises (@p102) :args (@t53)) % 35.22/35.41 (step @p104 :rule trans :premises (@p103 @p99)) % 35.22/35.41 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 35.22/35.41 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t144))) % 35.22/35.41 (step @p107 :rule aci_norm :args ((= @t150 (or @t148 @t147 @t146)))) % 35.22/35.41 (step @p108 :rule cong :premises (@p107) :args (@t151)) % 35.22/35.41 (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t153) @t151))) % 35.22/35.41 (step @p110 :rule alpha_equiv :args (@t154 (@list @t145) (@list @t1))) % 35.22/35.41 (step @p111 :rule refl :args (@t148)) % 35.22/35.41 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t155)) % 35.22/35.41 (step @p113 :rule quant-miniscope-or :args ((= @t153 @t155))) % 35.22/35.41 (step @p114 :rule trans :premises (@p113 @p112)) % 35.22/35.41 (step @p115 :rule symm :premises (@p114)) % 35.22/35.41 (step @p116 :rule cong :premises (@p115) :args ((forall @t9 (or @t148 @t156)))) % 35.22/35.41 (step @p117 :rule trans :premises (@p116 @p109)) % 35.22/35.41 (step @p118 :rule trans :premises (@p117 @p108)) % 35.22/35.41 (step @p119 :rule bool-impl-elim :args (@t17 @t156)) % 35.22/35.41 (step @p120 :rule cong :premises (@p119) :args ((forall @t9 (=> @t17 @t156)))) % 35.22/35.41 (step @p121 :rule trans :premises (@p120 @p118)) % 35.22/35.41 (step @p122 :rule bool-impl-elim :args (@t6 @t38)) % 35.22/35.41 (step @p123 :rule cong :premises (@p122) :args (@t39)) % 35.22/35.41 (step @p124 :rule cong :premises (@p101 @p123) :args (@t40)) % 35.22/35.41 (step @p125 :rule cong :premises (@p124) :args (@t41)) % 35.22/35.41 (step @p126 :rule trans :premises (@p125 @p121)) % 35.22/35.41 (step @p127 :rule eq_resolve :premises (@p16 @p126)) % 35.22/35.41 (step @p128 :rule instantiate :premises (@p127) :args ((@list tptp.nil @t143))) % 35.22/35.41 (step @p129 :rule aci_norm :args ((= (or @t139 @t138 @t137 @t136 @t123 @t121 false) @t140))) % 35.22/35.41 (step @p130 :rule evaluate :args ((not true))) % 35.22/35.41 (step @p131 :rule eq-refl :args (@t125)) % 35.22/35.41 (step @p132 :rule cong :premises (@p131) :args (@t157)) % 35.22/35.41 (step @p133 :rule trans :premises (@p132 @p130)) % 35.22/35.41 (step @p134 :rule refl :args (@t121)) % 35.22/35.41 (step @p135 :rule refl :args (@t123)) % 35.22/35.41 (step @p136 :rule eq-symm :args (@t125 @t128)) % 35.22/35.41 (step @p137 :rule cong :premises (@p136) :args (@t158)) % 35.22/35.41 (step @p138 :rule refl :args (@t131)) % 35.22/35.41 (step @p139 :rule refl :args (@t132)) % 35.22/35.41 (step @p140 :rule refl :args (@t133)) % 35.22/35.41 (step @p141 :rule refl :args (@t134)) % 35.22/35.41 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139 @p138 @p137) :args (@t159)) % 35.22/35.41 (step @p143 :rule cong :premises (@p142) :args (@t160)) % 35.22/35.41 (step @p144 :rule cong :premises (@p143) :args (@t161)) % 35.22/35.41 (step @p145 :rule refl :args (@t137)) % 35.22/35.41 (step @p146 :rule refl :args (@t138)) % 35.22/35.41 (step @p147 :rule refl :args (@t139)) % 35.22/35.41 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145 @p144 @p135 @p134 @p133) :args (@t162)) % 35.22/35.41 (step @p149 :rule trans :premises (@p148 @p129)) % 35.22/35.41 (step @p150 :rule cong :premises (@p149) :args ((forall @t141 @t162))) % 35.22/35.41 (step @p151 :rule quant-var-elim-eq :args ((= (forall @t9 @t166) @t162))) % 35.22/35.41 (step @p152 :rule aci_norm :args ((= @t167 @t166))) % 35.22/35.41 (step @p153 :rule cong :premises (@p152) :args (@t168)) % 35.22/35.41 (step @p154 :rule trans :premises (@p153 @p151)) % 35.22/35.41 (step @p155 :rule cong :premises (@p154) :args (@t169)) % 35.22/35.41 (step @p156 :rule quant-merge-prenex :args ((= @t169 @t170))) % 35.22/35.41 (step @p157 :rule symm :premises (@p156)) % 35.22/35.41 (step @p158 :rule quant_var_reordering :args ((= (forall @t171 @t167) @t170))) % 35.22/35.41 (step @p159 :rule trans :premises (@p158 @p157 @p155)) % 35.22/35.41 (step @p160 :rule trans :premises (@p159 @p150)) % 35.22/35.41 (step @p161 :rule aci_norm :args ((= @t173 @t167))) % 35.22/35.41 (step @p162 :rule cong :premises (@p161) :args (@t174)) % 35.22/35.41 (step @p163 :rule trans :premises (@p162 @p160)) % 35.22/35.41 (step @p164 :rule quant-merge-prenex :args ((= (forall @t9 @t175) @t174))) % 35.22/35.41 (step @p165 :rule alpha_equiv :args (@t176 (@list @t122 @t120) @t179)) % 35.22/35.41 (step @p166 :rule nary_cong :premises (@p111 @p165) :args (@t180)) % 35.22/35.41 (step @p167 :rule quant-miniscope-or :args ((= @t175 @t180))) % 35.22/35.41 (step @p168 :rule trans :premises (@p167 @p166)) % 35.22/35.41 (step @p169 :rule symm :premises (@p168)) % 35.22/35.41 (step @p170 :rule cong :premises (@p169) :args ((forall @t9 @t191))) % 35.22/35.41 (step @p171 :rule trans :premises (@p170 @p164)) % 35.22/35.41 (step @p172 :rule trans :premises (@p171 @p163)) % 35.22/35.41 (step @p173 :rule aci_norm :args ((= (or @t148 @t191) @t191))) % 35.22/35.41 (step @p174 :rule bool-impl-elim :args (@t17 @t191)) % 35.22/35.41 (step @p175 :rule trans :premises (@p174 @p173)) % 35.22/35.41 (step @p176 :rule cong :premises (@p175) :args ((forall @t9 (=> @t17 @t191)))) % 35.22/35.41 (step @p177 :rule trans :premises (@p176 @p172)) % 35.22/35.41 (step @p178 :rule aci_norm :args ((= (or @t188 @t187 @t186 @t184 @t183 false @t182) @t189))) % 35.22/35.41 (step @p179 :rule refl :args (@t182)) % 35.22/35.41 (step @p180 :rule eq-refl :args (@t185)) % 35.22/35.41 (step @p181 :rule cong :premises (@p180) :args (@t192)) % 35.22/35.41 (step @p182 :rule trans :premises (@p181 @p130)) % 35.22/35.41 (step @p183 :rule refl :args (@t183)) % 35.22/35.41 (step @p184 :rule refl :args (@t184)) % 35.22/35.41 (step @p185 :rule refl :args (@t164)) % 35.22/35.41 (step @p186 :rule eq-symm :args (@t185 @t130)) % 35.22/35.41 (step @p187 :rule cong :premises (@p186) :args (@t193)) % 35.22/35.41 (step @p188 :rule nary_cong :premises (@p141 @p140 @p139 @p187 @p185) :args (@t194)) % 35.22/35.41 (step @p189 :rule cong :premises (@p188) :args (@t195)) % 35.22/35.41 (step @p190 :rule cong :premises (@p189) :args (@t196)) % 35.22/35.41 (step @p191 :rule refl :args (@t187)) % 35.22/35.41 (step @p192 :rule refl :args (@t188)) % 35.22/35.41 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190 @p184 @p183 @p182 @p179) :args (@t197)) % 35.22/35.41 (step @p194 :rule trans :premises (@p193 @p178)) % 35.22/35.41 (step @p195 :rule cong :premises (@p194) :args ((forall @t190 @t197))) % 35.22/35.41 (step @p196 :rule quant-var-elim-eq :args ((= (forall @t7 @t203) @t197))) % 35.22/35.41 (step @p197 :rule aci_norm :args ((= @t204 @t203))) % 35.22/35.41 (step @p198 :rule cong :premises (@p197) :args (@t205)) % 35.22/35.41 (step @p199 :rule trans :premises (@p198 @p196)) % 35.22/35.41 (step @p200 :rule cong :premises (@p199) :args (@t206)) % 35.22/35.41 (step @p201 :rule quant-merge-prenex :args ((= @t206 @t207))) % 35.22/35.41 (step @p202 :rule symm :premises (@p201)) % 35.22/35.41 (step @p203 :rule quant_var_reordering :args ((= (forall @t208 @t204) @t207))) % 35.22/35.41 (step @p204 :rule trans :premises (@p203 @p202 @p200)) % 35.22/35.41 (step @p205 :rule trans :premises (@p204 @p195)) % 35.22/35.41 (step @p206 :rule aci_norm :args ((= @t210 @t204))) % 35.22/35.41 (step @p207 :rule cong :premises (@p206) :args (@t211)) % 35.22/35.41 (step @p208 :rule trans :premises (@p207 @p205)) % 35.22/35.41 (step @p209 :rule quant-merge-prenex :args ((= (forall @t7 @t212) @t211))) % 35.22/35.41 (step @p210 :rule alpha_equiv :args (@t213 @t179 @t216)) % 35.22/35.41 (step @p211 :rule refl :args (@t201)) % 35.22/35.41 (step @p212 :rule refl :args (@t73)) % 35.22/35.41 (step @p213 :rule refl :args (@t202)) % 35.22/35.41 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211 @p210) :args (@t217)) % 35.22/35.41 (step @p215 :rule quant-miniscope-or :args ((= @t212 @t217))) % 35.22/35.41 (step @p216 :rule trans :premises (@p215 @p214)) % 35.22/35.41 (step @p217 :rule symm :premises (@p216)) % 35.22/35.41 (step @p218 :rule cong :premises (@p217) :args (@t228)) % 35.22/35.41 (step @p219 :rule trans :premises (@p218 @p209)) % 35.22/35.41 (step @p220 :rule trans :premises (@p219 @p208)) % 35.22/35.41 (step @p221 :rule refl :args (@t148)) % 35.22/35.41 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t229)) % 35.22/35.41 (step @p223 :rule quant-miniscope-or :args ((= (forall @t7 @t230) @t229))) % 35.22/35.41 (step @p224 :rule aci_norm :args ((= @t231 @t230))) % 35.22/35.41 (step @p225 :rule cong :premises (@p224) :args ((forall @t7 @t231))) % 35.22/35.41 (step @p226 :rule trans :premises (@p225 @p223)) % 35.22/35.41 (step @p227 :rule trans :premises (@p226 @p222)) % 35.22/35.41 (step @p228 :rule aci_norm :args ((= (or @t202 @t231) @t231))) % 35.22/35.41 (step @p229 :rule bool-impl-elim :args (@t21 @t231)) % 35.22/35.41 (step @p230 :rule trans :premises (@p229 @p228)) % 35.22/35.41 (step @p231 :rule cong :premises (@p230) :args ((forall @t7 (=> @t21 @t231)))) % 35.22/35.41 (step @p232 :rule trans :premises (@p231 @p227)) % 35.22/35.41 (step @p233 :rule aci_norm :args ((= (or @t202 @t73 @t201 @t232) @t231))) % 35.22/35.41 (step @p234 :rule quant-miniscope-or :args ((= (forall @t225 @t233) @t232))) % 35.22/35.41 (step @p235 :rule aci_norm :args ((= @t234 @t233))) % 35.22/35.41 (step @p236 :rule cong :premises (@p235) :args ((forall @t225 @t234))) % 35.22/35.41 (step @p237 :rule trans :premises (@p236 @p234)) % 35.22/35.41 (step @p238 :rule aci_norm :args ((= (or @t148 false @t223 @t222 @t221 @t220) @t234))) % 35.22/35.41 (step @p239 :rule refl :args (@t220)) % 35.22/35.41 (step @p240 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quant-merge-prenex :args ((= (forall @t33 @t333) @t331))) % 35.22/35.41 (step @p412 :rule alpha_equiv :args (@t334 (@list @t126 @t127) (@list @t27 @t335))) % 35.22/35.41 (step @p413 :rule refl :args (@t134)) % 35.22/35.41 (step @p414 :rule nary_cong :premises (@p413 @p412) :args (@t336)) % 35.22/35.41 (step @p415 :rule quant-miniscope-or :args ((= @t333 @t336))) % 35.22/35.41 (step @p416 :rule trans :premises (@p415 @p414)) % 35.22/35.41 (step @p417 :rule symm :premises (@p416)) % 35.22/35.41 (step @p418 :rule cong :premises (@p417) :args ((forall @t33 (or @t134 @t343)))) % 35.22/35.41 (step @p419 :rule trans :premises (@p418 @p411)) % 35.22/35.41 (step @p420 :rule trans :premises (@p419 @p410)) % 35.22/35.41 (step @p421 :rule bool-double-not-elim :args (@t343)) % 35.22/35.41 (step @p422 :rule nary_cong :premises (@p413 @p421) :args ((or @t134 (not @t344)))) % 35.22/35.41 (step @p423 :rule bool-and-de-morgan :args (@t102 @t344 true)) % 35.22/35.41 (step @p424 :rule trans :premises 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(@p437)) % 35.22/35.41 (step @p439 :rule cong :premises (@p438) :args ((forall @t31 (or @t340 @t361)))) % 35.22/35.41 (step @p440 :rule trans :premises (@p439 @p432)) % 35.22/35.41 (step @p441 :rule trans :premises (@p440 @p431)) % 35.22/35.41 (step @p442 :rule bool-double-not-elim :args (@t361)) % 35.22/35.41 (step @p443 :rule nary_cong :premises (@p434 @p442) :args ((or @t340 (not @t362)))) % 35.22/35.41 (step @p444 :rule bool-and-de-morgan :args (@t30 @t362 true)) % 35.22/35.41 (step @p445 :rule trans :premises (@p444 @p443)) % 35.22/35.41 (step @p446 :rule cong :premises (@p445) :args (@t364)) % 35.22/35.41 (step @p447 :rule trans :premises (@p446 @p441)) % 35.22/35.41 (step @p448 :rule cong :premises (@p447) :args (@t365)) % 35.22/35.41 (step @p449 :rule exists-elim :args ((= (exists @t31 @t363) @t365))) % 35.22/35.41 (step @p450 :rule trans :premises (@p449 @p448)) % 35.22/35.41 (step @p451 :rule aci_norm :args ((= (or @t359 (or @t358 @t356)) @t360))) % 35.22/35.41 (step @p452 :rule bool-and-de-morgan :args (@t357 @t355 true)) % 35.22/35.41 (step @p453 :rule refl :args (@t359)) % 35.22/35.41 (step @p454 :rule nary_cong :premises (@p453 @p452) :args ((or @t359 (not (and @t357 @t355))))) % 35.22/35.41 (step @p455 :rule bool-and-de-morgan :args (@t96 @t357 (and @t355))) % 35.22/35.41 (step @p456 :rule trans :premises (@p455 @p454)) % 35.22/35.41 (step @p457 :rule trans :premises (@p456 @p451)) % 35.22/35.41 (step @p458 :rule cong :premises (@p457) :args (@t367)) % 35.22/35.41 (step @p459 :rule cong :premises (@p458) :args (@t368)) % 35.22/35.41 (step @p460 :rule exists-elim :args ((= (exists @t98 @t366) @t368))) % 35.22/35.41 (step @p461 :rule trans :premises (@p460 @p459)) % 35.22/35.41 (step @p462 :rule eq-symm :args (@t93 @t2)) % 35.22/35.41 (step @p463 :rule eq-symm :args (@t95 @t1)) % 35.22/35.41 (step @p464 :rule refl :args (@t96)) % 35.22/35.41 (step @p465 :rule nary_cong :premises (@p464 @p463 @p462) :args (@t97)) % 35.22/35.41 (step @p466 :rule cong :premises (@p465) :args (@t99)) % 35.22/35.41 (step @p467 :rule trans :premises (@p466 @p461)) % 35.22/35.41 (step @p468 :rule refl :args (@t30)) % 35.22/35.41 (step @p469 :rule nary_cong :premises (@p468 @p467) :args (@t100)) % 35.22/35.41 (step @p470 :rule cong :premises (@p469) :args (@t101)) % 35.22/35.41 (step @p471 :rule trans :premises (@p470 @p450)) % 35.22/35.41 (step @p472 :rule refl :args (@t102)) % 35.22/35.41 (step @p473 :rule nary_cong :premises (@p472 @p471) :args (@t103)) % 35.22/35.41 (step @p474 :rule cong :premises (@p473) :args (@t104)) % 35.22/35.41 (step @p475 :rule trans :premises (@p474 @p429)) % 35.22/35.41 (step @p476 :rule nary_cong :premises (@p283 @p475 @p408) :args (@t105)) % 35.22/35.41 (step @p477 :rule nary_cong :premises (@p476 @p340) :args (@t106)) % 35.22/35.41 (step @p478 :rule nary_cong :premises (@p343 @p364 @p477) :args (@t109)) % 35.22/35.41 (step @p479 :rule refl :args (@t13)) % 35.22/35.41 (step @p480 :rule cong :premises (@p479 @p478) :args (@t110)) % 35.22/35.41 (step @p481 :rule cong :premises (@p480) :args (@t111)) % 35.22/35.41 (step @p482 :rule trans :premises (@p481 @p376)) % 35.22/35.41 (step @p483 :rule refl :args (@t15)) % 35.22/35.41 (step @p484 :rule cong :premises (@p483 @p482) :args (@t112)) % 35.22/35.41 (step @p485 :rule cong :premises (@p484) :args (@t113)) % 35.22/35.41 (step @p486 :rule trans :premises (@p485 @p296)) % 35.22/35.41 (step @p487 :rule refl :args (@t21)) % 35.22/35.41 (step @p488 :rule cong :premises (@p487 @p486) :args (@t114)) % 35.22/35.41 (step @p489 :rule cong :premises (@p488) :args (@t115)) % 35.22/35.41 (step @p490 :rule trans :premises (@p489 @p232)) % 35.22/35.41 (step @p491 :rule cong :premises (@p101 @p490) :args (@t116)) % 35.22/35.41 (step @p492 :rule cong :premises (@p491) :args (@t117)) % 35.22/35.41 (step @p493 :rule trans :premises (@p492 @p177)) % 35.22/35.41 (step @p494 :rule cong :premises (@p493) :args (@t118)) % 35.22/35.41 (step @p495 :rule eq_resolve :premises (@p96 @p494)) % 35.22/35.41 (step @p496 :rule skolemize :premises (@p495)) % 35.22/35.41 (step @p497 :rule bool-double-not-elim :args (@t369)) % 35.22/35.41 (step @p498 :rule refl :args (@t380)) % 35.22/35.41 (step @p499 :rule nary_cong :premises (@p498 @p497) :args ((or @t380 (not @t373)))) % 35.22/35.41 (step @p500 :rule cnf_or_neg :args (@t380 4)) % 35.22/35.41 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 35.22/35.41 (step @p502 :rule reordering :premises (@p501) :args ((or @t369 @t380))) % 35.22/35.41 (step @p503 :rule chain_m_resolution :premises (@p502 @p496) :args (@t369 @t381 @t382)) % 35.22/35.41 (step @p504 :rule cnf_or_pos :args (@t385)) % 35.22/35.41 (step @p505 :rule reordering :premises (@p504) :args ((or @t384 @t373 @t383 (not @t385)))) % 35.22/35.41 (step @p506 :rule chain_m_resolution :premises (@p505 @p17 @p503 @p128) :args (@t383 (@list false false false) (@list @t42 @t369 @t385))) % 35.22/35.41 (step @p507 :rule cnf_or_pos :args (@t389)) % 35.22/35.41 (step @p508 :rule reordering :premises (@p507) :args ((or @t388 @t387 (not @t389)))) % 35.22/35.41 (step @p509 :rule chain_m_resolution :premises (@p508 @p506 @p106) :args (@t387 @t390 @t391)) % 35.22/35.41 (step @p510 :rule bool-double-not-elim :args (@t376)) % 35.22/35.41 (step @p511 :rule nary_cong :premises (@p498 @p510) :args ((or @t380 (not @t377)))) % 35.22/35.41 (step @p512 :rule cnf_or_neg :args (@t380 3)) % 35.22/35.41 (step @p513 :rule eq_resolve :premises (@p512 @p511)) % 35.22/35.41 (step @p514 :rule reordering :premises (@p513) :args ((or @t376 @t380))) % 35.22/35.41 (step @p515 :rule chain_m_resolution :premises (@p514 @p496) :args (@t376 @t381 @t382)) % 35.22/35.41 (step @p516 :rule eq-symm :args (@t392 @t374)) % 35.22/35.41 (step @p517 :rule cong :premises (@p516) :args (@t393)) % 35.22/35.41 (step @p518 :rule eq-symm :args (@t394 @t375)) % 35.22/35.41 (step @p519 :rule cong :premises (@p518) :args (@t395)) % 35.22/35.41 (step @p520 :rule refl :args (@t372)) % 35.22/35.41 (step @p521 :rule refl :args (@t384)) % 35.22/35.41 (step @p522 :rule refl :args (@t373)) % 35.22/35.41 (step @p523 :rule nary_cong :premises (@p522 @p521 @p520 @p519 @p517) :args (@t396)) % 35.22/35.41 (step @p524 :rule refl :args (@t376)) % 35.22/35.41 (step @p525 :rule cong :premises (@p524 @p523) :args ((=> @t376 @t396))) % 35.22/35.41 (assume-push @p588 @t376) % 35.22/35.41 (step @p527 :rule instantiate :premises (@p515) :args ((@list @t143 tptp.nil @t370))) % 35.22/35.41 (step-pop @p589 :rule scope :premises (@p527)) % 35.22/35.41 (step @p528 :rule process_scope :premises (@p589) :args (@t396)) % 35.22/35.41 (step @p530 :rule eq_resolve :premises (@p528 @p525)) % 35.22/35.41 (step @p531 :rule implies_elim :premises (@p530)) % 35.22/35.41 (step @p532 :rule chain_m_resolution :premises (@p531 @p515) :args (@t401 (@list false) (@list @t376))) % 35.22/35.41 (step @p533 :rule bool-impl-elim :args (@t17 @t402)) % 35.22/35.41 (step @p534 :rule cong :premises (@p533) :args ((forall @t9 (=> @t17 @t402)))) % 35.22/35.41 (step @p535 :rule eq-symm :args (@t69 @t2)) % 35.22/35.41 (step @p536 :rule cong :premises (@p101 @p535) :args (@t70)) % 35.22/35.41 (step @p537 :rule cong :premises (@p536) :args (@t71)) % 35.22/35.41 (step @p538 :rule trans :premises (@p537 @p534)) % 35.22/35.41 (step @p539 :rule eq_resolve :premises (@p84 @p538)) % 35.22/35.41 (step @p540 :rule instantiate :premises (@p539) :args ((@list @t374))) % 35.22/35.41 (step @p541 :rule bool-double-not-elim :args (@t378)) % 35.22/35.41 (step @p542 :rule nary_cong :premises (@p498 @p541) :args ((or @t380 (not @t379)))) % 35.22/35.41 (step @p543 :rule cnf_or_neg :args (@t380 0)) % 35.22/35.41 (step @p544 :rule eq_resolve :premises (@p543 @p542)) % 35.22/35.41 (step @p545 :rule reordering :premises (@p544) :args ((or @t378 @t380))) % 35.22/35.41 (step @p546 :rule chain_m_resolution :premises (@p545 @p496) :args (@t378 @t381 @t382)) % 35.22/35.41 (step @p547 :rule cnf_or_pos :args (@t403)) % 35.22/35.41 (step @p548 :rule reordering :premises (@p547) :args ((or @t379 @t397 (not @t403)))) % 35.22/35.41 (step @p549 :rule chain_m_resolution :premises (@p548 @p546 @p540) :args (@t397 @t390 (@list @t378 @t403))) % 35.22/35.41 (step @p550 :rule bool-double-not-elim :args (@t371)) % 35.22/35.41 (step @p551 :rule nary_cong :premises (@p498 @p550) :args ((or @t380 (not @t372)))) % 35.22/35.41 (step @p552 :rule cnf_or_neg :args (@t380 5)) % 35.22/35.41 (step @p553 :rule eq_resolve :premises (@p552 @p551)) % 35.22/35.41 (step @p554 :rule reordering :premises (@p553) :args ((or @t371 @t380))) % 35.22/35.41 (step @p555 :rule chain_m_resolution :premises (@p554 @p496) :args (@t371 @t381 @t382)) % 35.22/35.41 (step @p556 :rule cnf_or_pos :args (@t401)) % 35.22/35.41 (step @p557 :rule reordering :premises (@p556) :args ((or @t384 @t373 @t372 @t398 @t400 (not @t401)))) % 35.22/35.41 (step @p558 :rule chain_m_resolution :premises (@p557 @p17 @p503 @p555 @p549 @p532) :args (@t400 (@list false false false false false) (@list @t42 @t369 @t371 @t397 @t401))) % 35.22/35.41 (step @p559 :rule bool-double-not-elim :args (@t399)) % 35.22/35.41 (step @p560 :rule refl :args (@t404)) % 35.22/35.41 (step @p561 :rule nary_cong :premises (@p560 @p559) :args ((or @t404 (not @t400)))) % 35.22/35.41 (assume-push @p590 @t400) % 35.22/35.41 (assume-push @p591 @t399) % 35.22/35.41 (step @p564 :rule evaluate :args ((= true false))) % 35.22/35.41 (step @p565 :rule false_intro :premises (@p558)) % 35.22/35.41 (step @p566 :rule refl :args (@t370)) % 35.22/35.41 (step @p567 :rule chain_m_resolution :premises (@p508 @p506 @p106) :args (@t387 @t390 @t391)) % 35.22/35.41 (step @p568 :rule cong :premises (@p567 @p566) :args (@t375)) % 35.22/35.41 (step @p569 :rule true_intro :premises (@p568)) % 35.22/35.41 (step @p570 :rule symm :premises (@p569)) % 35.22/35.41 (step @p571 :rule trans :premises (@p570 @p565)) % 35.22/35.41 (step @p572 false :rule eq_resolve :premises (@p571 @p564)) % 35.22/35.41 (step-pop @p592 :rule scope :premises (@p572)) % 35.22/35.41 (step-pop @p593 :rule scope :premises (@p592)) % 35.22/35.41 (step @p573 :rule process_scope :premises (@p593) :args (false)) % 35.22/35.41 (assume-push @p594 @t387) % 35.22/35.41 (assume-push @p595 @t400) % 35.22/35.41 (step @p566 :rule refl :args (@t370)) % 35.22/35.41 (step @p578 :rule cong :premises (@p509 @p566) :args (@t375)) % 35.22/35.41 (step @p579 :rule and_intro :premises (@p558 @p578)) % 35.22/35.41 (step-pop @p596 :rule scope :premises (@p579)) % 35.22/35.41 (step-pop @p597 :rule scope :premises (@p596)) % 35.22/35.41 (step @p580 :rule process_scope :premises (@p597) :args (@t405)) % 35.22/35.41 (step @p583 :rule implies_elim :premises (@p580)) % 35.22/35.41 (step @p584 :rule resolution :premises (@p583 @p573) :args (true @t405)) % 35.22/35.41 (step @p585 :rule not_and :premises (@p584)) % 35.22/35.41 (step @p586 :rule eq_resolve :premises (@p585 @p561)) % 35.22/35.41 (step @p587 false :rule chain_m_resolution :premises (@p586 @p558 @p509) :args (false (@list true false) (@list @t399 @t387))) % 35.22/35.41 ) % 35.22/35.41 % SZS output end Proof % 35.22/35.41 % cvc5 exiting %------------------------------------------------------------------------------