%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC123+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 : n011.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 08:58:08 AM UTC 2026 % Result : Theorem 235.42s 235.71s % Output : Proof 235.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC123+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 % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:15:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 235.42/235.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 235.42/235.71 --- Run --no-e-matching --full-saturate-quant at 6... % 235.42/235.71 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 235.42/235.71 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 235.42/235.71 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 235.42/235.71 --- Run --trigger-sel=max --full-saturate-quant at 15... % 235.42/235.71 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 235.42/235.71 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 235.42/235.71 --- Run --prenex-quant=none --full-saturate-quant at 30... % 235.42/235.71 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 235.42/235.71 --- Run --relevant-triggers --full-saturate-quant at 30... % 235.42/235.71 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 235.42/235.71 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 235.42/235.71 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 235.42/235.71 % SZS status Theorem % 235.42/235.71 % SZS output start Proof % 235.42/235.71 ( % 235.42/235.71 (declare-sort $$unsorted 0) % 235.42/235.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 235.42/235.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 235.42/235.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 235.42/235.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 235.42/235.71 (declare-const tptp.nil $$unsorted) % 235.42/235.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 235.42/235.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 235.42/235.71 (define @t1 () (@var "V" $$unsorted)) % 235.42/235.71 (define @t2 () (@var "U" $$unsorted)) % 235.42/235.71 (define @t3 () (= @t2 @t1)) % 235.42/235.71 (define @t4 () (not @t3)) % 235.42/235.71 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 235.42/235.71 (define @t6 () (tptp.ssItem @t1)) % 235.42/235.71 (define @t7 () (@list @t1)) % 235.42/235.71 (define @t8 () (tptp.ssItem @t2)) % 235.42/235.71 (define @t9 () (@list @t2)) % 235.42/235.71 (define @t10 () (@var "X" $$unsorted)) % 235.42/235.71 (define @t11 () (tptp.cons @t1 @t10)) % 235.42/235.71 (define @t12 () (@var "W" $$unsorted)) % 235.42/235.71 (define @t13 () (tptp.ssList @t10)) % 235.42/235.71 (define @t14 () (@list @t10)) % 235.42/235.71 (define @t15 () (tptp.ssList @t12)) % 235.42/235.71 (define @t16 () (@list @t12)) % 235.42/235.71 (define @t17 () (tptp.ssList @t2)) % 235.42/235.71 (define @t18 () (tptp.cons @t1 tptp.nil)) % 235.42/235.71 (define @t19 () (and @t6 (= @t18 @t2))) % 235.42/235.71 (define @t20 () (exists @t7 @t19)) % 235.42/235.71 (define @t21 () (tptp.singletonP @t2)) % 235.42/235.71 (define @t22 () (= @t21 @t20)) % 235.42/235.71 (define @t23 () (=> @t17 @t22)) % 235.42/235.71 (define @t24 () (forall @t9 @t23)) % 235.42/235.71 (define @t25 () (tptp.app @t1 @t12)) % 235.42/235.71 (define @t26 () (and @t15 (= @t25 @t2))) % 235.42/235.71 (define @t27 () (exists @t16 @t26)) % 235.42/235.71 (define @t28 () (tptp.frontsegP @t2 @t1)) % 235.42/235.71 (define @t29 () (= @t28 @t27)) % 235.42/235.71 (define @t30 () (tptp.ssList @t1)) % 235.42/235.71 (define @t31 () (=> @t30 @t29)) % 235.42/235.71 (define @t32 () (forall @t7 @t31)) % 235.42/235.71 (define @t33 () (=> @t17 @t32)) % 235.42/235.71 (define @t34 () (forall @t9 @t33)) % 235.42/235.71 (define @t35 () (tptp.app @t12 @t1)) % 235.42/235.71 (define @t36 () (tptp.rearsegP @t2 @t1)) % 235.42/235.71 (define @t37 () (tptp.segmentP @t2 @t1)) % 235.42/235.71 (define @t38 () (tptp.leq @t12 @t1)) % 235.42/235.71 (define @t39 () (tptp.leq @t1 @t12)) % 235.42/235.71 (define @t40 () (@var "Z" $$unsorted)) % 235.42/235.71 (define @t41 () (@var "Y" $$unsorted)) % 235.42/235.71 (define @t42 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t41)) (tptp.cons @t12 @t40)) @t2)) % 235.42/235.71 (define @t43 () (tptp.ssList @t40)) % 235.42/235.71 (define @t44 () (@list @t40)) % 235.42/235.71 (define @t45 () (tptp.ssList @t41)) % 235.42/235.71 (define @t46 () (@list @t41)) % 235.42/235.71 (define @t47 () (tptp.ssItem @t12)) % 235.42/235.71 (define @t48 () (tptp.lt @t1 @t12)) % 235.42/235.71 (define @t49 () (= @t1 @t12)) % 235.42/235.71 (define @t50 () (tptp.equalelemsP @t2)) % 235.42/235.71 (define @t51 () (forall @t7 (=> @t30 @t5))) % 235.42/235.71 (define @t52 () (=> @t17 @t51)) % 235.42/235.71 (define @t53 () (forall @t9 @t52)) % 235.42/235.71 (define @t54 () (tptp.cons @t1 @t2)) % 235.42/235.71 (define @t55 () (tptp.ssList @t54)) % 235.42/235.71 (define @t56 () (forall @t7 (=> @t6 @t55))) % 235.42/235.71 (define @t57 () (=> @t17 @t56)) % 235.42/235.71 (define @t58 () (forall @t9 @t57)) % 235.42/235.71 (define @t59 () (tptp.ssList tptp.nil)) % 235.42/235.71 (define @t60 () (= @t1 @t2)) % 235.42/235.71 (define @t61 () (tptp.cons @t12 @t1)) % 235.42/235.71 (define @t62 () (and @t47 (= @t61 @t2))) % 235.42/235.71 (define @t63 () (exists @t16 @t62)) % 235.42/235.71 (define @t64 () (and @t30 @t63)) % 235.42/235.71 (define @t65 () (exists @t7 @t64)) % 235.42/235.71 (define @t66 () (= tptp.nil @t2)) % 235.42/235.71 (define @t67 () (or @t66 @t65)) % 235.42/235.71 (define @t68 () (=> @t17 @t67)) % 235.42/235.71 (define @t69 () (forall @t9 @t68)) % 235.42/235.71 (define @t70 () (tptp.hd @t2)) % 235.42/235.71 (define @t71 () (tptp.ssItem @t70)) % 235.42/235.71 (define @t72 () (not @t66)) % 235.42/235.71 (define @t73 () (=> @t72 @t71)) % 235.42/235.71 (define @t74 () (=> @t17 @t73)) % 235.42/235.71 (define @t75 () (forall @t9 @t74)) % 235.42/235.71 (define @t76 () (tptp.tl @t2)) % 235.42/235.71 (define @t77 () (tptp.tl @t54)) % 235.42/235.71 (define @t78 () (=> @t6 (= @t77 @t2))) % 235.42/235.71 (define @t79 () (forall @t7 @t78)) % 235.42/235.71 (define @t80 () (=> @t17 @t79)) % 235.42/235.71 (define @t81 () (forall @t9 @t80)) % 235.42/235.71 (define @t82 () (tptp.app @t2 @t1)) % 235.42/235.71 (define @t83 () (tptp.app @t1 @t2)) % 235.42/235.71 (define @t84 () (= (tptp.cons @t12 @t83) (tptp.app @t61 @t2))) % 235.42/235.71 (define @t85 () (forall @t16 (=> @t47 @t84))) % 235.42/235.71 (define @t86 () (=> @t30 @t85)) % 235.42/235.71 (define @t87 () (forall @t7 @t86)) % 235.42/235.71 (define @t88 () (=> @t17 @t87)) % 235.42/235.71 (define @t89 () (forall @t9 @t88)) % 235.42/235.71 (define @t90 () (tptp.app tptp.nil @t2)) % 235.42/235.71 (define @t91 () (=> @t17 (= @t90 @t2))) % 235.42/235.71 (define @t92 () (forall @t9 @t91)) % 235.42/235.71 (define @t93 () (tptp.leq @t1 @t2)) % 235.42/235.71 (define @t94 () (tptp.leq @t2 @t1)) % 235.42/235.71 (define @t95 () (tptp.geq @t2 @t1)) % 235.42/235.71 (define @t96 () (tptp.lt @t1 @t2)) % 235.42/235.71 (define @t97 () (tptp.lt @t2 @t1)) % 235.42/235.71 (define @t98 () (tptp.lt @t2 @t12)) % 235.42/235.71 (define @t99 () (tptp.gt @t2 @t1)) % 235.42/235.71 (define @t100 () (tptp.memberP @t12 @t2)) % 235.42/235.71 (define @t101 () (tptp.singletonP tptp.nil)) % 235.42/235.71 (define @t102 () (tptp.frontsegP @t1 @t12)) % 235.42/235.71 (define @t103 () (tptp.frontsegP @t1 @t2)) % 235.42/235.71 (define @t104 () (tptp.cons @t2 @t12)) % 235.42/235.71 (define @t105 () (= (tptp.frontsegP @t104 @t11) (and @t3 (tptp.frontsegP @t12 @t10)))) % 235.42/235.71 (define @t106 () (forall @t14 (=> @t13 @t105))) % 235.42/235.71 (define @t107 () (=> @t15 @t106)) % 235.42/235.71 (define @t108 () (forall @t16 @t107)) % 235.42/235.71 (define @t109 () (=> @t6 @t108)) % 235.42/235.71 (define @t110 () (forall @t7 @t109)) % 235.42/235.71 (define @t111 () (=> @t8 @t110)) % 235.42/235.71 (define @t112 () (forall @t9 @t111)) % 235.42/235.71 (define @t113 () (tptp.frontsegP @t2 tptp.nil)) % 235.42/235.71 (define @t114 () (forall @t9 (=> @t17 @t113))) % 235.42/235.71 (define @t115 () (tptp.app @t12 @t2)) % 235.42/235.71 (define @t116 () (tptp.segmentP @t1 @t2)) % 235.42/235.71 (define @t117 () (tptp.segmentP @t2 @t2)) % 235.42/235.71 (define @t118 () (forall @t9 (=> @t17 @t117))) % 235.42/235.71 (define @t119 () (tptp.segmentP (tptp.app @t115 @t10) @t1)) % 235.42/235.71 (define @t120 () (=> @t37 @t119)) % 235.42/235.71 (define @t121 () (forall @t14 (=> @t13 @t120))) % 235.42/235.71 (define @t122 () (=> @t15 @t121)) % 235.42/235.71 (define @t123 () (forall @t16 @t122)) % 235.42/235.71 (define @t124 () (=> @t30 @t123)) % 235.42/235.71 (define @t125 () (forall @t7 @t124)) % 235.42/235.71 (define @t126 () (=> @t17 @t125)) % 235.42/235.71 (define @t127 () (forall @t9 @t126)) % 235.42/235.71 (define @t128 () (tptp.cons @t2 tptp.nil)) % 235.42/235.71 (define @t129 () (tptp.hd @t1)) % 235.42/235.71 (define @t130 () (= tptp.nil @t1)) % 235.42/235.71 (define @t131 () (not @t130)) % 235.42/235.71 (define @t132 () (tptp.cons @t2 @t1)) % 235.42/235.71 (define @t133 () (tptp.equalelemsP @t128)) % 235.42/235.71 (define @t134 () (forall @t9 (=> @t8 @t133))) % 235.42/235.71 (define @t135 () (tptp.cons @t70 @t76)) % 235.42/235.71 (define @t136 () (=> @t72 (= @t135 @t2))) % 235.42/235.71 (define @t137 () (=> @t17 @t136)) % 235.42/235.71 (define @t138 () (forall @t9 @t137)) % 235.42/235.71 (define @t139 () (= @t12 @t2)) % 235.42/235.71 (define @t140 () (tptp.neq @t2 tptp.nil)) % 235.42/235.71 (define @t141 () (and @t140 @t116)) % 235.42/235.71 (define @t142 () (tptp.equalelemsP @t41)) % 235.42/235.71 (define @t143 () (tptp.segmentP @t41 @t12)) % 235.42/235.71 (define @t144 () (tptp.frontsegP @t10 @t41)) % 235.42/235.71 (define @t145 () (tptp.neq @t12 @t41)) % 235.42/235.71 (define @t146 () (and @t45 @t145 @t144 @t143 @t142)) % 235.42/235.71 (define @t147 () (exists @t46 @t146)) % 235.42/235.71 (define @t148 () (not (tptp.equalelemsP @t12))) % 235.42/235.71 (define @t149 () (not (tptp.frontsegP @t10 @t12))) % 235.42/235.71 (define @t150 () (not (tptp.neq @t1 tptp.nil))) % 235.42/235.71 (define @t151 () (not (= @t2 @t12))) % 235.42/235.71 (define @t152 () (not (= @t1 @t10))) % 235.42/235.71 (define @t153 () (or @t152 @t151 @t150 @t149 @t148 @t147 @t141)) % 235.42/235.71 (define @t154 () (=> @t13 @t153)) % 235.42/235.71 (define @t155 () (forall @t14 @t154)) % 235.42/235.71 (define @t156 () (=> @t15 @t155)) % 235.42/235.71 (define @t157 () (forall @t16 @t156)) % 235.42/235.71 (define @t158 () (=> @t30 @t157)) % 235.42/235.71 (define @t159 () (forall @t7 @t158)) % 235.42/235.71 (define @t160 () (=> @t17 @t159)) % 235.42/235.71 (define @t161 () (forall @t9 @t160)) % 235.42/235.71 (define @t162 () (not @t161)) % 235.42/235.71 (define @t163 () (@var "BOUND_VARIABLE_8309" $$unsorted)) % 235.42/235.71 (define @t164 () (not @t15)) % 235.42/235.71 (define @t165 () (= (tptp.frontsegP @t2 @t163) (not (forall @t16 (or @t164 (not (= @t2 (tptp.app @t163 @t12)))))))) % 235.42/235.71 (define @t166 () (not (tptp.ssList @t163))) % 235.42/235.71 (define @t167 () (not @t17)) % 235.42/235.71 (define @t168 () (or @t166 @t165)) % 235.42/235.71 (define @t169 () (or @t167 @t168)) % 235.42/235.71 (define @t170 () (forall (@list @t2 @t163) @t169)) % 235.42/235.71 (define @t171 () (@list @t163)) % 235.42/235.71 (define @t172 () (forall @t171 @t169)) % 235.42/235.71 (define @t173 () (forall @t171 @t168)) % 235.42/235.71 (define @t174 () (@list @t1)) % 235.42/235.71 (define @t175 () (or @t167 @t173)) % 235.42/235.71 (define @t176 () (= @t2 @t25)) % 235.42/235.71 (define @t177 () (= @t28 (not (forall @t16 (or @t164 (not @t176)))))) % 235.42/235.71 (define @t178 () (not @t30)) % 235.42/235.71 (define @t179 () (forall @t7 (or @t178 @t177))) % 235.42/235.71 (define @t180 () (and @t15 @t176)) % 235.42/235.71 (define @t181 () (forall @t16 (not @t180))) % 235.42/235.71 (define @t182 () (not @t181)) % 235.42/235.71 (define @t183 () (not @t142)) % 235.42/235.71 (define @t184 () (not (tptp.segmentP @t41 @t2))) % 235.42/235.71 (define @t185 () (@var "BOUND_VARIABLE_10984" $$unsorted)) % 235.42/235.71 (define @t186 () (not (tptp.neq @t2 @t41))) % 235.42/235.71 (define @t187 () (not @t45)) % 235.42/235.71 (define @t188 () (not (forall @t46 (or @t187 @t186 (not (tptp.frontsegP @t185 @t41)) @t184 @t183)))) % 235.42/235.71 (define @t189 () (not (tptp.frontsegP @t185 @t2))) % 235.42/235.71 (define @t190 () (and @t140 (tptp.segmentP @t185 @t2))) % 235.42/235.71 (define @t191 () (not (tptp.neq @t185 tptp.nil))) % 235.42/235.71 (define @t192 () (not (tptp.ssList @t185))) % 235.42/235.71 (define @t193 () (not @t50)) % 235.42/235.71 (define @t194 () (or @t167 @t193 @t192 @t191 @t190 @t189 @t188)) % 235.42/235.71 (define @t195 () (@list @t2 @t185)) % 235.42/235.71 (define @t196 () (forall @t195 @t194)) % 235.42/235.71 (define @t197 () (@quantifiers_skolemize @t196 0)) % 235.42/235.71 (define @t198 () (@quantifiers_skolemize @t196 1)) % 235.42/235.71 (define @t199 () (or @t192 @t191 @t190 @t189 @t188)) % 235.42/235.71 (define @t200 () (or @t167 @t193 @t199)) % 235.42/235.71 (define @t201 () (forall @t195 @t200)) % 235.42/235.71 (define @t202 () (@list @t185)) % 235.42/235.71 (define @t203 () (forall @t202 @t200)) % 235.42/235.71 (define @t204 () (forall @t202 @t199)) % 235.42/235.71 (define @t205 () (or @t167 @t193 @t204)) % 235.42/235.71 (define @t206 () (not (tptp.frontsegP @t1 @t41))) % 235.42/235.71 (define @t207 () (not (forall @t46 (or @t187 @t186 @t206 @t184 @t183)))) % 235.42/235.71 (define @t208 () (not @t103)) % 235.42/235.71 (define @t209 () (or @t178 @t150 @t141 @t208 @t207)) % 235.42/235.71 (define @t210 () (or @t167 @t193 (forall @t7 @t209))) % 235.42/235.71 (define @t211 () (or @t167 @t193 @t209)) % 235.42/235.71 (define @t212 () (or @t178 @t150 @t141 @t167 @t193 @t208 @t207)) % 235.42/235.71 (define @t213 () (or @t150 @t141 @t178 @t167 @t193 @t208 @t207)) % 235.42/235.71 (define @t214 () (or @t167 @t193 @t208 @t207)) % 235.42/235.71 (define @t215 () (not (= @t2 @t2))) % 235.42/235.71 (define @t216 () (or @t167 @t215 @t193 @t208 @t207)) % 235.42/235.71 (define @t217 () (not @t143)) % 235.42/235.71 (define @t218 () (not @t145)) % 235.42/235.71 (define @t219 () (not (forall @t46 (or @t187 @t218 @t206 @t217 @t183)))) % 235.42/235.71 (define @t220 () (not @t102)) % 235.42/235.71 (define @t221 () (or @t151 @t164 @t151 @t148 @t220 @t219)) % 235.42/235.71 (define @t222 () (or @t164 @t151 @t148 @t220 @t219)) % 235.42/235.71 (define @t223 () (forall @t16 @t222)) % 235.42/235.71 (define @t224 () (or @t150 @t141 @t178 @t223)) % 235.42/235.71 (define @t225 () (or @t150 @t141 @t178 @t222)) % 235.42/235.71 (define @t226 () (or @t164 @t151 @t150 @t148 @t141 @t178 @t220 @t219)) % 235.42/235.71 (define @t227 () (or @t151 @t150 @t148 @t141 @t178 @t220 @t219)) % 235.42/235.71 (define @t228 () (or @t178 @t220 @t219)) % 235.42/235.71 (define @t229 () (not (= @t1 @t1))) % 235.42/235.71 (define @t230 () (or @t178 @t229 @t220 @t219)) % 235.42/235.71 (define @t231 () (not @t144)) % 235.42/235.71 (define @t232 () (or @t187 @t218 @t231 @t217 @t183)) % 235.42/235.71 (define @t233 () (not (forall @t46 @t232))) % 235.42/235.71 (define @t234 () (not @t13)) % 235.42/235.71 (define @t235 () (or @t152 @t234 @t152 @t149 @t233)) % 235.42/235.71 (define @t236 () (or @t234 @t152 @t149 @t233)) % 235.42/235.71 (define @t237 () (forall @t14 @t236)) % 235.42/235.71 (define @t238 () (or @t151 @t150 @t148 @t141 @t237)) % 235.42/235.71 (define @t239 () (or @t151 @t150 @t148 @t141 @t236)) % 235.42/235.71 (define @t240 () (or @t234 @t152 @t151 @t150 @t149 @t148 @t233 @t141)) % 235.42/235.71 (define @t241 () (or @t152 @t151 @t150 @t149 @t148 @t233 @t141)) % 235.42/235.71 (define @t242 () (forall @t46 (not @t146))) % 235.42/235.71 (define @t243 () (not @t242)) % 235.42/235.71 (define @t244 () (tptp.ssList @t198)) % 235.42/235.71 (define @t245 () (forall @t46 (or @t187 (not (tptp.neq @t197 @t41)) (not (tptp.frontsegP @t198 @t41)) (not (tptp.segmentP @t41 @t197)) @t183))) % 235.42/235.71 (define @t246 () (not @t245)) % 235.42/235.71 (define @t247 () (tptp.frontsegP @t198 @t197)) % 235.42/235.71 (define @t248 () (not @t247)) % 235.42/235.71 (define @t249 () (tptp.segmentP @t198 @t197)) % 235.42/235.71 (define @t250 () (tptp.neq @t197 tptp.nil)) % 235.42/235.71 (define @t251 () (and @t250 @t249)) % 235.42/235.71 (define @t252 () (tptp.neq @t198 tptp.nil)) % 235.42/235.71 (define @t253 () (not @t252)) % 235.42/235.71 (define @t254 () (not @t244)) % 235.42/235.71 (define @t255 () (tptp.ssList @t197)) % 235.42/235.71 (define @t256 () (not @t255)) % 235.42/235.71 (define @t257 () (or @t256 (not (tptp.equalelemsP @t197)) @t254 @t253 @t251 @t248 @t246)) % 235.42/235.71 (define @t258 () (@list true)) % 235.42/235.71 (define @t259 () (@list @t257)) % 235.42/235.71 (define @t260 () (forall @t16 (or @t164 (not (= @t198 (tptp.app @t197 @t12)))))) % 235.42/235.71 (define @t261 () (not @t260)) % 235.42/235.71 (define @t262 () (= @t247 @t261)) % 235.42/235.71 (define @t263 () (or @t254 @t256 @t262)) % 235.42/235.71 (define @t264 () (@list false false false)) % 235.42/235.71 (define @t265 () (@list false false)) % 235.42/235.71 (define @t266 () (@quantifiers_skolemize @t260 0)) % 235.42/235.71 (define @t267 () (tptp.app @t197 @t266)) % 235.42/235.71 (define @t268 () (= @t198 @t267)) % 235.42/235.71 (define @t269 () (not @t268)) % 235.42/235.71 (define @t270 () (tptp.ssList @t266)) % 235.42/235.71 (define @t271 () (not @t270)) % 235.42/235.71 (define @t272 () (or @t271 @t269)) % 235.42/235.71 (define @t273 () (@list @t272)) % 235.42/235.71 (define @t274 () (@var "BOUND_VARIABLE_9101" $$unsorted)) % 235.42/235.71 (define @t275 () (= (tptp.neq @t2 @t274) (not (= @t2 @t274)))) % 235.42/235.71 (define @t276 () (not (tptp.ssList @t274))) % 235.42/235.71 (define @t277 () (or @t167 @t276 @t275)) % 235.42/235.71 (define @t278 () (or @t276 @t275)) % 235.42/235.71 (define @t279 () (or @t167 @t278)) % 235.42/235.71 (define @t280 () (@list @t2 @t274)) % 235.42/235.71 (define @t281 () (forall @t280 @t279)) % 235.42/235.71 (define @t282 () (@list @t274)) % 235.42/235.71 (define @t283 () (forall @t282 @t279)) % 235.42/235.71 (define @t284 () (forall @t282 @t278)) % 235.42/235.71 (define @t285 () (or @t167 @t284)) % 235.42/235.71 (define @t286 () (forall @t7 (or @t178 @t5))) % 235.42/235.71 (define @t287 () (not (= @t197 tptp.nil))) % 235.42/235.71 (define @t288 () (= @t250 @t287)) % 235.42/235.71 (define @t289 () (not @t59)) % 235.42/235.71 (define @t290 () (or @t256 @t289 @t288)) % 235.42/235.71 (define @t291 () (forall @t280 @t277)) % 235.42/235.71 (define @t292 () (= tptp.nil @t197)) % 235.42/235.71 (define @t293 () (not @t292)) % 235.42/235.71 (define @t294 () (= @t250 @t293)) % 235.42/235.71 (define @t295 () (or @t256 @t289 @t294)) % 235.42/235.71 (define @t296 () (@list false)) % 235.42/235.71 (define @t297 () (@list @t291)) % 235.42/235.71 (define @t298 () (= @t2 @t18)) % 235.42/235.71 (define @t299 () (not @t6)) % 235.42/235.71 (define @t300 () (= @t21 (not (forall @t7 (or @t299 (not @t298)))))) % 235.42/235.71 (define @t301 () (and @t6 @t298)) % 235.42/235.71 (define @t302 () (forall @t7 (not @t301))) % 235.42/235.71 (define @t303 () (not @t302)) % 235.42/235.71 (define @t304 () (@list tptp.nil)) % 235.42/235.71 (define @t305 () (forall @t7 (or @t299 (not (= tptp.nil @t18))))) % 235.42/235.71 (define @t306 () (not @t305)) % 235.42/235.71 (define @t307 () (= @t101 @t306)) % 235.42/235.71 (define @t308 () (or @t289 @t307)) % 235.42/235.71 (define @t309 () (not @t307)) % 235.42/235.71 (define @t310 () (@list true false)) % 235.42/235.71 (define @t311 () (tptp.hd @t198)) % 235.42/235.71 (define @t312 () (@list @t311)) % 235.42/235.71 (define @t313 () (= @t2 tptp.nil)) % 235.42/235.71 (define @t314 () (or @t167 @t313 @t71)) % 235.42/235.71 (define @t315 () (not @t313)) % 235.42/235.71 (define @t316 () (not @t315)) % 235.42/235.71 (define @t317 () (=> @t315 @t71)) % 235.42/235.71 (define @t318 () (tptp.ssItem @t311)) % 235.42/235.71 (define @t319 () (= @t198 tptp.nil)) % 235.42/235.71 (define @t320 () (or @t254 @t319 @t318)) % 235.42/235.71 (define @t321 () (forall @t9 @t314)) % 235.42/235.71 (define @t322 () (@list @t198)) % 235.42/235.71 (define @t323 () (= tptp.nil @t198)) % 235.42/235.71 (define @t324 () (or @t254 @t323 @t318)) % 235.42/235.71 (define @t325 () (not @t319)) % 235.42/235.71 (define @t326 () (= @t252 @t325)) % 235.42/235.71 (define @t327 () (or @t254 @t289 @t326)) % 235.42/235.71 (define @t328 () (not @t323)) % 235.42/235.71 (define @t329 () (= @t252 @t328)) % 235.42/235.71 (define @t330 () (or @t254 @t289 @t329)) % 235.42/235.71 (define @t331 () (@list false true false)) % 235.42/235.71 (define @t332 () (tptp.cons @t311 tptp.nil)) % 235.42/235.71 (define @t333 () (= tptp.nil @t332)) % 235.42/235.71 (define @t334 () (not @t333)) % 235.42/235.71 (define @t335 () (not @t318)) % 235.42/235.71 (define @t336 () (or @t335 @t334)) % 235.42/235.71 (define @t337 () (= @t197 @t332)) % 235.42/235.71 (define @t338 () (not @t337)) % 235.42/235.71 (define @t339 () (and @t292 @t334)) % 235.42/235.71 (define @t340 () (tptp.segmentP tptp.nil tptp.nil)) % 235.42/235.71 (define @t341 () (or @t289 @t340)) % 235.42/235.71 (define @t342 () (tptp.segmentP tptp.nil @t197)) % 235.42/235.71 (define @t343 () (and @t292 @t340)) % 235.42/235.71 (define @t344 () (@var "BOUND_VARIABLE_9122" $$unsorted)) % 235.42/235.71 (define @t345 () (tptp.ssList (tptp.cons @t344 @t2))) % 235.42/235.71 (define @t346 () (not (tptp.ssItem @t344))) % 235.42/235.71 (define @t347 () (or @t346 @t345)) % 235.42/235.71 (define @t348 () (or @t167 @t347)) % 235.42/235.71 (define @t349 () (forall (@list @t2 @t344) @t348)) % 235.42/235.71 (define @t350 () (@list @t344)) % 235.42/235.71 (define @t351 () (forall @t350 @t348)) % 235.42/235.71 (define @t352 () (forall @t350 @t347)) % 235.42/235.71 (define @t353 () (or @t167 @t352)) % 235.42/235.71 (define @t354 () (forall @t7 (or @t299 @t55))) % 235.42/235.71 (define @t355 () (tptp.ssList @t332)) % 235.42/235.71 (define @t356 () (or @t289 @t335 @t355)) % 235.42/235.71 (define @t357 () (tptp.neq @t197 @t332)) % 235.42/235.71 (define @t358 () (= @t357 @t338)) % 235.42/235.71 (define @t359 () (not @t355)) % 235.42/235.71 (define @t360 () (or @t256 @t359 @t358)) % 235.42/235.71 (define @t361 () (not @t358)) % 235.42/235.71 (define @t362 () (@var "BOUND_VARIABLE_10200" $$unsorted)) % 235.42/235.71 (define @t363 () (@var "BOUND_VARIABLE_10204" $$unsorted)) % 235.42/235.71 (define @t364 () (@var "BOUND_VARIABLE_10202" $$unsorted)) % 235.42/235.71 (define @t365 () (tptp.segmentP (tptp.app (tptp.app @t364 @t2) @t363) @t362)) % 235.42/235.71 (define @t366 () (not (tptp.ssList @t363))) % 235.42/235.71 (define @t367 () (not (tptp.ssList @t364))) % 235.42/235.71 (define @t368 () (not (tptp.segmentP @t2 @t362))) % 235.42/235.71 (define @t369 () (not (tptp.ssList @t362))) % 235.42/235.71 (define @t370 () (or @t369 @t368 @t367 @t366 @t365)) % 235.42/235.71 (define @t371 () (or @t167 @t370)) % 235.42/235.71 (define @t372 () (forall (@list @t2 @t362 @t364 @t363) @t371)) % 235.42/235.71 (define @t373 () (@list @t362 @t364 @t363)) % 235.42/235.71 (define @t374 () (forall @t373 @t371)) % 235.42/235.71 (define @t375 () (forall @t373 @t370)) % 235.42/235.71 (define @t376 () (@var "BOUND_VARIABLE_10181" $$unsorted)) % 235.42/235.71 (define @t377 () (@var "BOUND_VARIABLE_10179" $$unsorted)) % 235.42/235.71 (define @t378 () (or @t167 @t375)) % 235.42/235.71 (define @t379 () (tptp.segmentP (tptp.app (tptp.app @t377 @t2) @t376) @t1)) % 235.42/235.71 (define @t380 () (not (tptp.ssList @t376))) % 235.42/235.71 (define @t381 () (not (tptp.ssList @t377))) % 235.42/235.71 (define @t382 () (not @t37)) % 235.42/235.71 (define @t383 () (or @t178 @t382 @t381 @t380 @t379)) % 235.42/235.71 (define @t384 () (@list @t1 @t377 @t376)) % 235.42/235.71 (define @t385 () (forall @t384 @t383)) % 235.42/235.71 (define @t386 () (or @t381 @t380 @t379)) % 235.42/235.71 (define @t387 () (or @t178 @t382 @t386)) % 235.42/235.71 (define @t388 () (forall @t384 @t387)) % 235.42/235.71 (define @t389 () (@list @t377 @t376)) % 235.42/235.71 (define @t390 () (forall @t389 @t387)) % 235.42/235.71 (define @t391 () (forall @t389 @t386)) % 235.42/235.71 (define @t392 () (@var "BOUND_VARIABLE_10162" $$unsorted)) % 235.42/235.71 (define @t393 () (or @t178 @t382 @t391)) % 235.42/235.71 (define @t394 () (tptp.segmentP (tptp.app @t115 @t392) @t1)) % 235.42/235.71 (define @t395 () (not (tptp.ssList @t392))) % 235.42/235.71 (define @t396 () (or @t164 @t395 @t394)) % 235.42/235.71 (define @t397 () (@list @t12 @t392)) % 235.42/235.71 (define @t398 () (forall @t397 @t396)) % 235.42/235.71 (define @t399 () (or @t178 @t382 @t398)) % 235.42/235.71 (define @t400 () (or @t382 @t398)) % 235.42/235.71 (define @t401 () (or @t395 @t394)) % 235.42/235.71 (define @t402 () (or @t164 @t401)) % 235.42/235.71 (define @t403 () (forall @t397 @t402)) % 235.42/235.71 (define @t404 () (@list @t392)) % 235.42/235.71 (define @t405 () (forall @t404 @t402)) % 235.42/235.71 (define @t406 () (forall @t404 @t401)) % 235.42/235.71 (define @t407 () (@list @t10)) % 235.42/235.71 (define @t408 () (or @t164 @t406)) % 235.42/235.71 (define @t409 () (or @t234 @t119)) % 235.42/235.71 (define @t410 () (forall @t14 @t409)) % 235.42/235.71 (define @t411 () (or @t164 @t410)) % 235.42/235.71 (define @t412 () (forall @t16 @t411)) % 235.42/235.71 (define @t413 () (or @t382 @t412)) % 235.42/235.71 (define @t414 () (or @t382 @t411)) % 235.42/235.71 (define @t415 () (or @t164 @t382 @t410)) % 235.42/235.71 (define @t416 () (or @t382 @t410)) % 235.42/235.71 (define @t417 () (or @t382 @t409)) % 235.42/235.71 (define @t418 () (or @t234 @t382 @t119)) % 235.42/235.71 (define @t419 () (tptp.app @t332 tptp.nil)) % 235.42/235.71 (define @t420 () (tptp.segmentP (tptp.app @t419 tptp.nil) @t197)) % 235.42/235.71 (define @t421 () (not @t342)) % 235.42/235.71 (define @t422 () (or @t289 @t256 @t421 @t359 @t289 @t420)) % 235.42/235.71 (define @t423 () (tptp.equalelemsP @t332)) % 235.42/235.71 (define @t424 () (or @t335 @t423)) % 235.42/235.71 (define @t425 () (@var "BOUND_VARIABLE_9900" $$unsorted)) % 235.42/235.71 (define @t426 () (@var "BOUND_VARIABLE_9898" $$unsorted)) % 235.42/235.71 (define @t427 () (@var "BOUND_VARIABLE_9896" $$unsorted)) % 235.42/235.71 (define @t428 () (= (tptp.frontsegP (tptp.cons @t2 @t426) (tptp.cons @t427 @t425)) (and (= @t2 @t427) (tptp.frontsegP @t426 @t425)))) % 235.42/235.71 (define @t429 () (not (tptp.ssList @t425))) % 235.42/235.71 (define @t430 () (not (tptp.ssList @t426))) % 235.42/235.71 (define @t431 () (not (tptp.ssItem @t427))) % 235.42/235.71 (define @t432 () (not @t8)) % 235.42/235.71 (define @t433 () (or @t432 @t431 @t430 @t429 @t428)) % 235.42/235.71 (define @t434 () (or @t431 @t430 @t429 @t428)) % 235.42/235.71 (define @t435 () (or @t432 @t434)) % 235.42/235.71 (define @t436 () (@list @t2 @t427 @t426 @t425)) % 235.42/235.71 (define @t437 () (forall @t436 @t435)) % 235.42/235.71 (define @t438 () (@list @t427 @t426 @t425)) % 235.42/235.71 (define @t439 () (forall @t438 @t435)) % 235.42/235.71 (define @t440 () (forall @t438 @t434)) % 235.42/235.71 (define @t441 () (@var "BOUND_VARIABLE_9874" $$unsorted)) % 235.42/235.71 (define @t442 () (@var "BOUND_VARIABLE_9872" $$unsorted)) % 235.42/235.71 (define @t443 () (or @t432 @t440)) % 235.42/235.71 (define @t444 () (= (tptp.frontsegP (tptp.cons @t2 @t442) (tptp.cons @t1 @t441)) (and @t3 (tptp.frontsegP @t442 @t441)))) % 235.42/235.71 (define @t445 () (not (tptp.ssList @t441))) % 235.42/235.71 (define @t446 () (not (tptp.ssList @t442))) % 235.42/235.71 (define @t447 () (or @t299 @t446 @t445 @t444)) % 235.42/235.71 (define @t448 () (@list @t1 @t442 @t441)) % 235.42/235.71 (define @t449 () (forall @t448 @t447)) % 235.42/235.71 (define @t450 () (or @t446 @t445 @t444)) % 235.42/235.71 (define @t451 () (or @t299 @t450)) % 235.42/235.71 (define @t452 () (forall @t448 @t451)) % 235.42/235.71 (define @t453 () (@list @t442 @t441)) % 235.42/235.71 (define @t454 () (forall @t453 @t451)) % 235.42/235.71 (define @t455 () (forall @t453 @t450)) % 235.42/235.71 (define @t456 () (@var "BOUND_VARIABLE_9853" $$unsorted)) % 235.42/235.71 (define @t457 () (or @t299 @t455)) % 235.42/235.71 (define @t458 () (= (tptp.frontsegP @t104 (tptp.cons @t1 @t456)) (and @t3 (tptp.frontsegP @t12 @t456)))) % 235.42/235.71 (define @t459 () (not (tptp.ssList @t456))) % 235.42/235.71 (define @t460 () (or @t164 @t459 @t458)) % 235.42/235.71 (define @t461 () (@list @t12 @t456)) % 235.42/235.71 (define @t462 () (forall @t461 @t460)) % 235.42/235.71 (define @t463 () (or @t459 @t458)) % 235.42/235.71 (define @t464 () (or @t164 @t463)) % 235.42/235.71 (define @t465 () (forall @t461 @t464)) % 235.42/235.71 (define @t466 () (@list @t456)) % 235.42/235.71 (define @t467 () (forall @t466 @t464)) % 235.42/235.71 (define @t468 () (forall @t466 @t463)) % 235.42/235.71 (define @t469 () (or @t164 @t468)) % 235.42/235.71 (define @t470 () (forall @t14 (or @t234 @t105))) % 235.42/235.71 (define @t471 () (tptp.tl @t198)) % 235.42/235.71 (define @t472 () (tptp.cons @t311 @t471)) % 235.42/235.71 (define @t473 () (tptp.frontsegP @t472 @t332)) % 235.42/235.71 (define @t474 () (tptp.frontsegP @t471 tptp.nil)) % 235.42/235.71 (define @t475 () (and (= @t311 @t311) @t474)) % 235.42/235.71 (define @t476 () (= @t473 @t475)) % 235.42/235.71 (define @t477 () (tptp.ssList @t471)) % 235.42/235.71 (define @t478 () (not @t477)) % 235.42/235.71 (define @t479 () (or @t335 @t335 @t478 @t289 @t476)) % 235.42/235.71 (define @t480 () (forall @t436 @t433)) % 235.42/235.71 (define @t481 () (= @t474 @t473)) % 235.42/235.71 (define @t482 () (or @t335 @t335 @t478 @t289 @t481)) % 235.42/235.71 (define @t483 () (@var "BOUND_VARIABLE_9259" $$unsorted)) % 235.42/235.71 (define @t484 () (tptp.cons @t483 @t1)) % 235.42/235.71 (define @t485 () (not (= @t2 @t484))) % 235.42/235.71 (define @t486 () (not (tptp.ssItem @t483))) % 235.42/235.71 (define @t487 () (or @t178 @t486 @t485)) % 235.42/235.71 (define @t488 () (@list @t1 @t483)) % 235.42/235.71 (define @t489 () (not (forall @t488 @t487))) % 235.42/235.71 (define @t490 () (or @t167 @t313 @t489)) % 235.42/235.71 (define @t491 () (or @t313 @t489)) % 235.42/235.71 (define @t492 () (or @t486 @t485)) % 235.42/235.71 (define @t493 () (or @t178 @t492)) % 235.42/235.71 (define @t494 () (forall @t488 @t493)) % 235.42/235.71 (define @t495 () (@list @t483)) % 235.42/235.71 (define @t496 () (forall @t495 @t493)) % 235.42/235.71 (define @t497 () (forall @t495 @t492)) % 235.42/235.71 (define @t498 () (@list @t12)) % 235.42/235.71 (define @t499 () (or @t178 @t497)) % 235.42/235.71 (define @t500 () (= @t2 @t61)) % 235.42/235.71 (define @t501 () (not @t47)) % 235.42/235.71 (define @t502 () (forall @t16 (or @t501 (not @t500)))) % 235.42/235.71 (define @t503 () (not @t502)) % 235.42/235.71 (define @t504 () (and @t30 @t503)) % 235.42/235.71 (define @t505 () (forall @t7 (not @t504))) % 235.42/235.71 (define @t506 () (not @t505)) % 235.42/235.71 (define @t507 () (and @t47 @t500)) % 235.42/235.71 (define @t508 () (forall @t16 (not @t507))) % 235.42/235.71 (define @t509 () (not @t508)) % 235.42/235.71 (define @t510 () (not (= @t198 @t484))) % 235.42/235.71 (define @t511 () (or @t178 @t486 @t510)) % 235.42/235.71 (define @t512 () (forall @t488 @t511)) % 235.42/235.71 (define @t513 () (not @t512)) % 235.42/235.71 (define @t514 () (or @t254 @t319 @t513)) % 235.42/235.71 (define @t515 () (forall @t9 @t490)) % 235.42/235.71 (define @t516 () (forall @t488 (or @t178 @t486 (not (= @t484 @t198))))) % 235.42/235.71 (define @t517 () (not @t516)) % 235.42/235.71 (define @t518 () (or @t254 @t323 @t517)) % 235.42/235.71 (define @t519 () (@quantifiers_skolemize @t516 0)) % 235.42/235.71 (define @t520 () (@quantifiers_skolemize @t516 1)) % 235.42/235.71 (define @t521 () (tptp.cons @t520 @t519)) % 235.42/235.71 (define @t522 () (= @t198 @t521)) % 235.42/235.71 (define @t523 () (not @t522)) % 235.42/235.71 (define @t524 () (tptp.ssItem @t520)) % 235.42/235.71 (define @t525 () (not @t524)) % 235.42/235.71 (define @t526 () (tptp.ssList @t519)) % 235.42/235.71 (define @t527 () (not @t526)) % 235.42/235.71 (define @t528 () (or @t527 @t525 @t523)) % 235.42/235.71 (define @t529 () (not @t528)) % 235.42/235.71 (define @t530 () (not (= @t521 @t198))) % 235.42/235.71 (define @t531 () (or @t527 @t525 @t530)) % 235.42/235.71 (define @t532 () (not @t531)) % 235.42/235.71 (define @t533 () (@list @t528)) % 235.42/235.71 (define @t534 () (@var "BOUND_VARIABLE_9346" $$unsorted)) % 235.42/235.71 (define @t535 () (= @t2 (tptp.tl (tptp.cons @t534 @t2)))) % 235.42/235.71 (define @t536 () (not (tptp.ssItem @t534))) % 235.42/235.71 (define @t537 () (or @t536 @t535)) % 235.42/235.71 (define @t538 () (or @t167 @t537)) % 235.42/235.71 (define @t539 () (forall (@list @t2 @t534) @t538)) % 235.42/235.71 (define @t540 () (@list @t534)) % 235.42/235.71 (define @t541 () (forall @t540 @t538)) % 235.42/235.71 (define @t542 () (forall @t540 @t537)) % 235.42/235.71 (define @t543 () (or @t167 @t542)) % 235.42/235.71 (define @t544 () (= @t2 @t77)) % 235.42/235.71 (define @t545 () (forall @t7 (or @t299 @t544))) % 235.42/235.71 (define @t546 () (= @t519 (tptp.tl @t521))) % 235.42/235.71 (define @t547 () (or @t527 @t525 @t546)) % 235.42/235.71 (define @t548 () (tptp.frontsegP @t519 tptp.nil)) % 235.42/235.71 (define @t549 () (or @t527 @t548)) % 235.42/235.71 (define @t550 () (= @t2 @t135)) % 235.42/235.71 (define @t551 () (or @t167 @t313 @t550)) % 235.42/235.71 (define @t552 () (=> @t315 @t550)) % 235.42/235.71 (define @t553 () (= @t198 @t472)) % 235.42/235.71 (define @t554 () (or @t254 @t319 @t553)) % 235.42/235.71 (define @t555 () (forall @t9 @t551)) % 235.42/235.71 (define @t556 () (or @t254 @t323 @t553)) % 235.42/235.71 (define @t557 () (tptp.frontsegP @t198 @t332)) % 235.42/235.71 (define @t558 () (not @t423)) % 235.42/235.71 (define @t559 () (tptp.segmentP @t332 @t197)) % 235.42/235.71 (define @t560 () (not @t559)) % 235.42/235.71 (define @t561 () (not @t557)) % 235.42/235.71 (define @t562 () (not @t357)) % 235.42/235.71 (define @t563 () (or @t359 @t562 @t561 @t560 @t558)) % 235.42/235.71 (define @t564 () (= @t2 @t90)) % 235.42/235.71 (define @t565 () (tptp.app tptp.nil tptp.nil)) % 235.42/235.71 (define @t566 () (= tptp.nil @t565)) % 235.42/235.71 (define @t567 () (or @t289 @t566)) % 235.42/235.71 (define @t568 () (@var "BOUND_VARIABLE_9403" $$unsorted)) % 235.42/235.71 (define @t569 () (@var "BOUND_VARIABLE_9405" $$unsorted)) % 235.42/235.71 (define @t570 () (= (tptp.cons @t569 (tptp.app @t568 @t2)) (tptp.app (tptp.cons @t569 @t568) @t2))) % 235.42/235.71 (define @t571 () (not (tptp.ssItem @t569))) % 235.42/235.71 (define @t572 () (not (tptp.ssList @t568))) % 235.42/235.71 (define @t573 () (or @t572 @t571 @t570)) % 235.42/235.71 (define @t574 () (or @t167 @t573)) % 235.42/235.71 (define @t575 () (forall (@list @t2 @t568 @t569) @t574)) % 235.42/235.71 (define @t576 () (@list @t568 @t569)) % 235.42/235.71 (define @t577 () (forall @t576 @t574)) % 235.42/235.71 (define @t578 () (forall @t576 @t573)) % 235.42/235.71 (define @t579 () (@var "BOUND_VARIABLE_9385" $$unsorted)) % 235.42/235.71 (define @t580 () (or @t167 @t578)) % 235.42/235.71 (define @t581 () (= (tptp.cons @t579 @t83) (tptp.app (tptp.cons @t579 @t1) @t2))) % 235.42/235.71 (define @t582 () (not (tptp.ssItem @t579))) % 235.42/235.71 (define @t583 () (or @t178 @t582 @t581)) % 235.42/235.71 (define @t584 () (@list @t1 @t579)) % 235.42/235.71 (define @t585 () (forall @t584 @t583)) % 235.42/235.71 (define @t586 () (or @t582 @t581)) % 235.42/235.71 (define @t587 () (or @t178 @t586)) % 235.42/235.71 (define @t588 () (forall @t584 @t587)) % 235.42/235.71 (define @t589 () (@list @t579)) % 235.42/235.71 (define @t590 () (forall @t589 @t587)) % 235.42/235.71 (define @t591 () (forall @t589 @t586)) % 235.42/235.71 (define @t592 () (or @t178 @t591)) % 235.42/235.71 (define @t593 () (forall @t16 (or @t501 @t84))) % 235.42/235.71 (define @t594 () (= (tptp.cons @t311 @t565) @t419)) % 235.42/235.71 (define @t595 () (or @t289 @t289 @t335 @t594)) % 235.42/235.71 (define @t596 () (and @t566 @t594 @t420)) % 235.42/235.71 (define @t597 () (not @t294)) % 235.42/235.71 (define @t598 () (not @t249)) % 235.42/235.71 (define @t599 () (@list @t197)) % 235.42/235.71 (define @t600 () (tptp.app tptp.nil @t197)) % 235.42/235.71 (define @t601 () (= @t197 @t600)) % 235.42/235.71 (define @t602 () (or @t256 @t601)) % 235.42/235.71 (define @t603 () (tptp.segmentP @t197 @t197)) % 235.42/235.71 (define @t604 () (or @t256 @t603)) % 235.42/235.71 (define @t605 () (tptp.segmentP (tptp.app @t600 @t266) @t197)) % 235.42/235.71 (define @t606 () (not @t603)) % 235.42/235.71 (define @t607 () (or @t256 @t256 @t606 @t289 @t271 @t605)) % 235.42/235.71 (define @t608 () (not @t605)) % 235.42/235.71 (define @t609 () (not @t601)) % 235.42/235.71 (define @t610 () (and @t605 @t601 @t268 @t598)) % 235.42/235.71 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 235.42/235.71 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 235.42/235.71 (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))))))))))) % 235.42/235.71 (assume @p4 @t24) % 235.42/235.71 (assume @p5 @t34) % 235.42/235.71 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (= @t36 (exists @t16 (and @t15 (= @t35 @t2))))))))) % 235.42/235.71 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (= @t37 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t35 @t10) @t2))))))))))) % 235.42/235.71 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (not (and @t39 @t38))))))))))))))))) % 235.42/235.71 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (or @t39 @t38)))))))))))))))) % 235.42/235.71 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (or @t48 (tptp.lt @t12 @t1))))))))))))))))) % 235.42/235.71 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 @t39))))))))))))))) % 235.42/235.71 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 @t48))))))))))))))) % 235.42/235.71 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 (not @t49)))))))))))))))) % 235.42/235.71 (assume @p14 (forall @t9 (=> @t17 (= @t50 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t41))) @t2) @t49))))))))))))) % 235.42/235.71 (assume @p15 @t53) % 235.42/235.71 (assume @p16 @t58) % 235.42/235.71 (assume @p17 @t59) % 235.42/235.71 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t54 @t2))))))) % 235.42/235.71 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t47 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t60))))))))))) % 235.42/235.71 (assume @p20 @t69) % 235.42/235.71 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 235.42/235.71 (assume @p22 @t75) % 235.42/235.71 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 235.42/235.71 (assume @p24 (forall @t9 (=> @t17 (=> @t72 (tptp.ssList @t76))))) % 235.42/235.71 (assume @p25 @t81) % 235.42/235.71 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (tptp.ssList @t82)))))) % 235.42/235.71 (assume @p27 @t89) % 235.42/235.71 (assume @p28 @t92) % 235.42/235.71 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t94 @t93) @t3)))))) % 235.42/235.71 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t94 @t39) (tptp.leq @t2 @t12))))))))) % 235.42/235.71 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 235.42/235.71 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t95 @t93)))))) % 235.42/235.71 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t97 (not @t96))))))) % 235.42/235.71 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t97 @t48) @t98)))))))) % 235.42/235.71 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t99 @t96)))))) % 235.42/235.71 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t100))))))))) % 235.42/235.71 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t100))))))))) % 235.42/235.71 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 235.42/235.71 (assume @p39 (not @t101)) % 235.42/235.71 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (and @t28 @t102) (tptp.frontsegP @t2 @t12))))))))) % 235.42/235.71 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t28 @t103) @t3)))))) % 235.42/235.71 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 235.42/235.71 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> @t28 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 235.42/235.71 (assume @p44 @t112) % 235.42/235.71 (assume @p45 @t114) % 235.42/235.71 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t66)))) % 235.42/235.71 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (and @t36 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 235.42/235.71 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t36 (tptp.rearsegP @t1 @t2)) @t3)))))) % 235.42/235.71 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 235.42/235.71 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> @t36 (tptp.rearsegP @t115 @t1))))))))) % 235.42/235.71 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 235.42/235.71 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t66)))) % 235.42/235.71 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (and @t37 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 235.42/235.71 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t37 @t116) @t3)))))) % 235.42/235.71 (assume @p55 @t118) % 235.42/235.71 (assume @p56 @t127) % 235.42/235.71 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 235.42/235.71 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t66)))) % 235.42/235.71 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t128)))) % 235.42/235.71 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 235.42/235.71 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t128)))) % 235.42/235.71 (assume @p62 (tptp.totalorderP tptp.nil)) % 235.42/235.71 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t128)))) % 235.42/235.71 (assume @p64 (tptp.strictorderP tptp.nil)) % 235.42/235.71 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t128)))) % 235.42/235.71 (assume @p66 (tptp.totalorderedP tptp.nil)) % 235.42/235.71 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t30 (= (tptp.totalorderedP @t132) (or @t130 (and @t131 (tptp.totalorderedP @t1) (tptp.leq @t2 @t129))))))))) % 235.42/235.71 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t128)))) % 235.42/235.71 (assume @p69 (tptp.strictorderedP tptp.nil)) % 235.42/235.71 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t30 (= (tptp.strictorderedP @t132) (or @t130 (and @t131 (tptp.strictorderedP @t1) (tptp.lt @t2 @t129))))))))) % 235.42/235.71 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t128)))) % 235.42/235.71 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 235.42/235.71 (assume @p73 @t134) % 235.42/235.71 (assume @p74 (tptp.equalelemsP tptp.nil)) % 235.42/235.71 (assume @p75 (forall @t9 (=> @t17 (=> @t72 (exists @t7 (and @t6 (= @t70 @t1))))))) % 235.42/235.71 (assume @p76 (forall @t9 (=> @t17 (=> @t72 (exists @t7 (and @t30 (= @t76 @t1))))))) % 235.42/235.71 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t131 @t72 (= @t129 @t70) (= (tptp.tl @t1) @t76)) @t60)))))) % 235.42/235.71 (assume @p78 @t138) % 235.42/235.71 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (= @t35 @t82) @t139)))))))) % 235.42/235.71 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (= @t25 @t83) @t139)))))))) % 235.42/235.71 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 235.42/235.71 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (= (tptp.app @t82 @t12) (tptp.app @t2 @t25))))))))) % 235.42/235.71 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (= (= tptp.nil @t82) (and @t130 @t66))))))) % 235.42/235.71 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 235.42/235.71 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> @t72 (= (tptp.hd @t82) @t70))))))) % 235.42/235.71 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> @t72 (= (tptp.tl @t82) (tptp.app @t76 @t1)))))))) % 235.42/235.71 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t95 (tptp.geq @t1 @t2)) @t3)))))) % 235.42/235.71 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t95 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 235.42/235.71 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 235.42/235.71 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 235.42/235.71 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t94 @t48) @t98)))))))) % 235.42/235.71 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t94 (or @t3 @t97))))))) % 235.42/235.71 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t97 (and @t4 @t94))))))) % 235.42/235.71 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t99 (not (tptp.gt @t1 @t2)))))))) % 235.42/235.71 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t99 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 235.42/235.71 (assume @p96 @t162) % 235.42/235.71 (assume @p97 true) % 235.42/235.71 (step @p98 :rule aci_norm :args ((= @t169 (or @t167 @t166 @t165)))) % 235.42/235.71 (step @p99 :rule cong :premises (@p98) :args (@t170)) % 235.42/235.71 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t172) @t170))) % 235.42/235.71 (step @p101 :rule alpha_equiv :args (@t173 (@list @t163) @t174)) % 235.42/235.71 (step @p102 :rule refl :args (@t167)) % 235.42/235.71 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t175)) % 235.42/235.71 (step @p104 :rule quant-miniscope-or :args ((= @t172 @t175))) % 235.42/235.71 (step @p105 :rule trans :premises (@p104 @p103)) % 235.42/235.71 (step @p106 :rule symm :premises (@p105)) % 235.42/235.71 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t167 @t179)))) % 235.42/235.71 (step @p108 :rule trans :premises (@p107 @p100)) % 235.42/235.71 (step @p109 :rule trans :premises (@p108 @p99)) % 235.42/235.71 (step @p110 :rule bool-impl-elim :args (@t17 @t179)) % 235.42/235.71 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t17 @t179)))) % 235.42/235.71 (step @p112 :rule trans :premises (@p111 @p109)) % 235.42/235.71 (step @p113 :rule bool-impl-elim :args (@t30 @t177)) % 235.42/235.71 (step @p114 :rule cong :premises (@p113) :args ((forall @t7 (=> @t30 @t177)))) % 235.42/235.71 (step @p115 :rule bool-and-de-morgan :args (@t15 @t176 true)) % 235.42/235.71 (step @p116 :rule cong :premises (@p115) :args (@t181)) % 235.42/235.71 (step @p117 :rule cong :premises (@p116) :args (@t182)) % 235.42/235.71 (step @p118 :rule exists-elim :args ((= (exists @t16 @t180) @t182))) % 235.42/235.71 (step @p119 :rule trans :premises (@p118 @p117)) % 235.42/235.71 (step @p120 :rule eq-symm :args (@t25 @t2)) % 235.42/235.71 (step @p121 :rule refl :args (@t15)) % 235.42/235.71 (step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t26)) % 235.42/235.71 (step @p123 :rule cong :premises (@p122) :args (@t27)) % 235.42/235.71 (step @p124 :rule trans :premises (@p123 @p119)) % 235.42/235.71 (step @p125 :rule refl :args (@t28)) % 235.42/235.71 (step @p126 :rule cong :premises (@p125 @p124) :args (@t29)) % 235.42/235.71 (step @p127 :rule refl :args (@t30)) % 235.42/235.71 (step @p128 :rule cong :premises (@p127 @p126) :args (@t31)) % 235.42/235.71 (step @p129 :rule cong :premises (@p128) :args (@t32)) % 235.42/235.71 (step @p130 :rule trans :premises (@p129 @p114)) % 235.42/235.71 (step @p131 :rule refl :args (@t17)) % 235.42/235.71 (step @p132 :rule cong :premises (@p131 @p130) :args (@t33)) % 235.42/235.71 (step @p133 :rule cong :premises (@p132) :args (@t34)) % 235.42/235.71 (step @p134 :rule trans :premises (@p133 @p112)) % 235.42/235.71 (step @p135 :rule eq_resolve :premises (@p5 @p134)) % 235.42/235.71 (step @p136 :rule instantiate :premises (@p135) :args ((@list @t198 @t197))) % 235.42/235.71 (step @p137 :rule aci_norm :args ((= @t200 @t194))) % 235.42/235.71 (step @p138 :rule cong :premises (@p137) :args (@t201)) % 235.42/235.71 (step @p139 :rule quant-merge-prenex :args ((= (forall @t9 @t203) @t201))) % 235.42/235.71 (step @p140 :rule alpha_equiv :args (@t204 (@list @t185) @t174)) % 235.42/235.71 (step @p141 :rule refl :args (@t193)) % 235.42/235.71 (step @p142 :rule nary_cong :premises (@p102 @p141 @p140) :args (@t205)) % 235.42/235.71 (step @p143 :rule quant-miniscope-or :args ((= @t203 @t205))) % 235.42/235.71 (step @p144 :rule trans :premises (@p143 @p142)) % 235.42/235.71 (step @p145 :rule symm :premises (@p144)) % 235.42/235.71 (step @p146 :rule cong :premises (@p145) :args ((forall @t9 @t210))) % 235.42/235.71 (step @p147 :rule trans :premises (@p146 @p139)) % 235.42/235.71 (step @p148 :rule trans :premises (@p147 @p138)) % 235.42/235.71 (step @p149 :rule aci_norm :args ((= (or @t167 @t210) @t210))) % 235.42/235.71 (step @p150 :rule bool-impl-elim :args (@t17 @t210)) % 235.42/235.71 (step @p151 :rule trans :premises (@p150 @p149)) % 235.42/235.71 (step @p152 :rule cong :premises (@p151) :args ((forall @t9 (=> @t17 @t210)))) % 235.42/235.71 (step @p153 :rule trans :premises (@p152 @p148)) % 235.42/235.71 (step @p154 :rule quant-miniscope-or :args ((= (forall @t7 @t211) @t210))) % 235.42/235.71 (step @p155 :rule aci_norm :args ((= @t212 @t211))) % 235.42/235.71 (step @p156 :rule cong :premises (@p155) :args ((forall @t7 @t212))) % 235.42/235.71 (step @p157 :rule trans :premises (@p156 @p154)) % 235.42/235.71 (step @p158 :rule aci_norm :args ((= (or @t178 @t213) @t212))) % 235.42/235.71 (step @p159 :rule bool-impl-elim :args (@t30 @t213)) % 235.42/235.71 (step @p160 :rule trans :premises (@p159 @p158)) % 235.42/235.71 (step @p161 :rule cong :premises (@p160) :args ((forall @t7 (=> @t30 @t213)))) % 235.42/235.71 (step @p162 :rule trans :premises (@p161 @p157)) % 235.42/235.71 (step @p163 :rule aci_norm :args ((= (or @t150 @t141 @t178 @t214) @t213))) % 235.42/235.71 (step @p164 :rule aci_norm :args ((= (or @t167 false @t193 @t208 @t207) @t214))) % 235.42/235.71 (step @p165 :rule refl :args (@t207)) % 235.42/235.71 (step @p166 :rule refl :args (@t208)) % 235.42/235.71 (step @p167 :rule refl :args (@t193)) % 235.42/235.71 (step @p168 :rule evaluate :args ((not true))) % 235.42/235.71 (step @p169 :rule eq-refl :args (@t2)) % 235.42/235.71 (step @p170 :rule cong :premises (@p169) :args (@t215)) % 235.42/235.71 (step @p171 :rule trans :premises (@p170 @p168)) % 235.42/235.71 (step @p172 :rule refl :args (@t167)) % 235.42/235.71 (step @p173 :rule nary_cong :premises (@p172 @p171 @p167 @p166 @p165) :args (@t216)) % 235.42/235.71 (step @p174 :rule trans :premises (@p173 @p164)) % 235.42/235.71 (step @p175 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t139) @t164 @t151 @t148 @t220 @t219)) @t216))) % 235.42/235.71 (step @p176 :rule refl :args (@t219)) % 235.42/235.71 (step @p177 :rule refl :args (@t220)) % 235.42/235.71 (step @p178 :rule refl :args (@t148)) % 235.42/235.71 (step @p179 :rule refl :args (@t151)) % 235.42/235.71 (step @p180 :rule refl :args (@t164)) % 235.42/235.71 (step @p181 :rule eq-symm :args (@t2 @t12)) % 235.42/235.71 (step @p182 :rule cong :premises (@p181) :args (@t151)) % 235.42/235.71 (step @p183 :rule nary_cong :premises (@p182 @p180 @p179 @p178 @p177 @p176) :args (@t221)) % 235.42/235.71 (step @p184 :rule aci_norm :args ((= @t222 @t221))) % 235.42/235.71 (step @p185 :rule trans :premises (@p184 @p183)) % 235.42/235.71 (step @p186 :rule cong :premises (@p185) :args (@t223)) % 235.42/235.71 (step @p187 :rule trans :premises (@p186 @p175)) % 235.42/235.71 (step @p188 :rule trans :premises (@p187 @p174)) % 235.42/235.71 (step @p189 :rule refl :args (@t178)) % 235.42/235.71 (step @p190 :rule refl :args (@t141)) % 235.42/235.71 (step @p191 :rule refl :args (@t150)) % 235.42/235.71 (step @p192 :rule nary_cong :premises (@p191 @p190 @p189 @p188) :args (@t224)) % 235.42/235.71 (step @p193 :rule trans :premises (@p192 @p163)) % 235.42/235.71 (step @p194 :rule quant-miniscope-or :args ((= (forall @t16 @t225) @t224))) % 235.42/235.71 (step @p195 :rule aci_norm :args ((= @t226 @t225))) % 235.42/235.71 (step @p196 :rule cong :premises (@p195) :args ((forall @t16 @t226))) % 235.42/235.71 (step @p197 :rule trans :premises (@p196 @p194)) % 235.42/235.71 (step @p198 :rule trans :premises (@p197 @p193)) % 235.42/235.71 (step @p199 :rule aci_norm :args ((= (or @t164 @t227) @t226))) % 235.42/235.71 (step @p200 :rule bool-impl-elim :args (@t15 @t227)) % 235.42/235.71 (step @p201 :rule trans :premises (@p200 @p199)) % 235.42/235.71 (step @p202 :rule cong :premises (@p201) :args ((forall @t16 (=> @t15 @t227)))) % 235.42/235.71 (step @p203 :rule trans :premises (@p202 @p198)) % 235.42/235.71 (step @p204 :rule aci_norm :args ((= (or @t151 @t150 @t148 @t141 @t228) @t227))) % 235.42/235.71 (step @p205 :rule aci_norm :args ((= (or @t178 false @t220 @t219) @t228))) % 235.42/235.71 (step @p206 :rule refl :args (@t219)) % 235.42/235.71 (step @p207 :rule refl :args (@t220)) % 235.42/235.71 (step @p208 :rule eq-refl :args (@t1)) % 235.42/235.71 (step @p209 :rule cong :premises (@p208) :args (@t229)) % 235.42/235.71 (step @p210 :rule trans :premises (@p209 @p168)) % 235.42/235.71 (step @p211 :rule nary_cong :premises (@p189 @p210 @p207 @p206) :args (@t230)) % 235.42/235.71 (step @p212 :rule trans :premises (@p211 @p205)) % 235.42/235.71 (step @p213 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t234 @t152 @t149 @t233)) @t230))) % 235.42/235.71 (step @p214 :rule refl :args (@t233)) % 235.42/235.71 (step @p215 :rule refl :args (@t149)) % 235.42/235.71 (step @p216 :rule refl :args (@t152)) % 235.42/235.71 (step @p217 :rule refl :args (@t234)) % 235.42/235.71 (step @p218 :rule eq-symm :args (@t1 @t10)) % 235.42/235.71 (step @p219 :rule cong :premises (@p218) :args (@t152)) % 235.42/235.71 (step @p220 :rule nary_cong :premises (@p219 @p217 @p216 @p215 @p214) :args (@t235)) % 235.42/235.71 (step @p221 :rule aci_norm :args ((= @t236 @t235))) % 235.42/235.71 (step @p222 :rule trans :premises (@p221 @p220)) % 235.42/235.71 (step @p223 :rule cong :premises (@p222) :args (@t237)) % 235.42/235.71 (step @p224 :rule trans :premises (@p223 @p213)) % 235.42/235.71 (step @p225 :rule trans :premises (@p224 @p212)) % 235.42/235.71 (step @p226 :rule refl :args (@t148)) % 235.42/235.71 (step @p227 :rule refl :args (@t151)) % 235.42/235.71 (step @p228 :rule nary_cong :premises (@p227 @p191 @p226 @p190 @p225) :args (@t238)) % 235.42/235.71 (step @p229 :rule trans :premises (@p228 @p204)) % 235.42/235.71 (step @p230 :rule quant-miniscope-or :args ((= (forall @t14 @t239) @t238))) % 235.42/235.71 (step @p231 :rule aci_norm :args ((= @t240 @t239))) % 235.42/235.71 (step @p232 :rule cong :premises (@p231) :args ((forall @t14 @t240))) % 235.42/235.71 (step @p233 :rule trans :premises (@p232 @p230)) % 235.42/235.71 (step @p234 :rule trans :premises (@p233 @p229)) % 235.42/235.71 (step @p235 :rule aci_norm :args ((= (or @t234 @t241) @t240))) % 235.42/235.71 (step @p236 :rule bool-impl-elim :args (@t13 @t241)) % 235.42/235.71 (step @p237 :rule trans :premises (@p236 @p235)) % 235.42/235.71 (step @p238 :rule cong :premises (@p237) :args ((forall @t14 (=> @t13 @t241)))) % 235.42/235.71 (step @p239 :rule trans :premises (@p238 @p234)) % 235.42/235.71 (step @p240 :rule aci_norm :args ((= (or @t187 (or @t218 (or @t231 (or @t217 @t183)))) @t232))) % 235.42/235.71 (step @p241 :rule bool-and-de-morgan :args (@t143 @t142 true)) % 235.42/235.71 (step @p242 :rule refl :args (@t231)) % 235.42/235.71 (step @p243 :rule nary_cong :premises (@p242 @p241) :args ((or @t231 (not (and @t143 @t142))))) % 235.42/235.71 (step @p244 :rule bool-and-de-morgan :args (@t144 @t143 (and @t142))) % 235.42/235.71 (step @p245 :rule trans :premises (@p244 @p243)) % 235.42/235.71 (step @p246 :rule refl :args (@t218)) % 235.42/235.71 (step @p247 :rule nary_cong :premises (@p246 @p245) :args ((or @t218 (not (and @t144 @t143 @t142))))) % 235.42/235.71 (step @p248 :rule bool-and-de-morgan :args (@t145 @t144 (and @t143 @t142))) % 235.42/235.71 (step @p249 :rule trans :premises (@p248 @p247)) % 235.42/235.71 (step @p250 :rule refl :args (@t187)) % 235.42/235.71 (step @p251 :rule nary_cong :premises (@p250 @p249) :args ((or @t187 (not (and @t145 @t144 @t143 @t142))))) % 235.42/235.71 (step @p252 :rule bool-and-de-morgan :args (@t45 @t145 (and @t144 @t143 @t142))) % 235.42/235.71 (step @p253 :rule trans :premises (@p252 @p251)) % 235.42/235.71 (step @p254 :rule trans :premises (@p253 @p240)) % 235.42/235.71 (step @p255 :rule cong :premises (@p254) :args (@t242)) % 235.42/235.71 (step @p256 :rule cong :premises (@p255) :args (@t243)) % 235.42/235.71 (step @p257 :rule exists-elim :args ((= @t147 @t243))) % 235.42/235.71 (step @p258 :rule trans :premises (@p257 @p256)) % 235.42/235.71 (step @p259 :rule refl :args (@t149)) % 235.42/235.71 (step @p260 :rule refl :args (@t152)) % 235.42/235.71 (step @p261 :rule nary_cong :premises (@p260 @p227 @p191 @p259 @p226 @p258 @p190) :args (@t153)) % 235.42/235.71 (step @p262 :rule refl :args (@t13)) % 235.42/235.71 (step @p263 :rule cong :premises (@p262 @p261) :args (@t154)) % 235.42/235.71 (step @p264 :rule cong :premises (@p263) :args (@t155)) % 235.42/235.71 (step @p265 :rule trans :premises (@p264 @p239)) % 235.42/235.71 (step @p266 :rule cong :premises (@p121 @p265) :args (@t156)) % 235.42/235.71 (step @p267 :rule cong :premises (@p266) :args (@t157)) % 235.42/235.71 (step @p268 :rule trans :premises (@p267 @p203)) % 235.42/235.71 (step @p269 :rule cong :premises (@p127 @p268) :args (@t158)) % 235.42/235.71 (step @p270 :rule cong :premises (@p269) :args (@t159)) % 235.42/235.71 (step @p271 :rule trans :premises (@p270 @p162)) % 235.42/235.71 (step @p272 :rule cong :premises (@p131 @p271) :args (@t160)) % 235.42/235.71 (step @p273 :rule cong :premises (@p272) :args (@t161)) % 235.42/235.71 (step @p274 :rule trans :premises (@p273 @p153)) % 235.42/235.71 (step @p275 :rule cong :premises (@p274) :args (@t162)) % 235.42/235.71 (step @p276 :rule eq_resolve :premises (@p96 @p275)) % 235.42/235.71 (step @p277 :rule skolemize :premises (@p276)) % 235.42/235.71 (step @p278 :rule bool-double-not-elim :args (@t244)) % 235.42/235.71 (step @p279 :rule refl :args (@t257)) % 235.42/235.71 (step @p280 :rule nary_cong :premises (@p279 @p278) :args ((or @t257 (not @t254)))) % 235.42/235.71 (step @p281 :rule cnf_or_neg :args (@t257 2)) % 235.42/235.71 (step @p282 :rule eq_resolve :premises (@p281 @p280)) % 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@p1085 :rule scope :premises (@p967)) % 235.42/235.71 (step-pop @p1086 :rule scope :premises (@p1085)) % 235.42/235.71 (step-pop @p1087 :rule scope :premises (@p1086)) % 235.42/235.71 (step @p968 :rule process_scope :premises (@p1087) :args (@t559)) % 235.42/235.71 (step @p972 :rule implies_elim :premises (@p968)) % 235.42/235.71 (step @p973 :rule cnf_and_neg :args (@t596)) % 235.42/235.71 (step @p974 :rule resolution :premises (@p973 @p972) :args (true @t596)) % 235.42/235.71 (step @p975 :rule reordering :premises (@p974) :args ((or (not @t566) @t559 (not @t594) (not @t420)))) % 235.42/235.71 (step @p976 :rule chain_m_resolution :premises (@p975 @p945 @p903 @p892 @p521 @p890 @p626 @p619 @p612 @p609 @p521 @p290 @p17 @p531 @p524 @p496 @p475 @p468 @p442) :args (@t293 (@list false false true false false false false false false false false false false false false false true true) (@list @t594 @t566 @t559 @t355 @t557 @t563 @t423 @t420 @t422 @t355 @t255 @t59 @t357 @t358 @t342 @t340 @t337 @t333))) % 235.42/235.71 (step @p977 :rule bool-double-not-elim :args (@t292)) % 235.42/235.71 (step @p978 :rule refl :args (@t597)) % 235.42/235.71 (step @p979 :rule nary_cong :premises (@p978 @p333 @p977) :args ((or @t597 @t250 (not @t293)))) % 235.42/235.71 (step @p980 :rule cnf_equiv_pos2 :args (@t294)) % 235.42/235.71 (step @p981 :rule eq_resolve :premises (@p980 @p979)) % 235.42/235.71 (step @p982 :rule reordering :premises (@p981) :args ((or @t250 @t292 @t597))) % 235.42/235.71 (step @p983 :rule chain_m_resolution :premises (@p982 @p976 @p349) :args (@t250 @t310 (@list @t292 @t294))) % 235.42/235.71 (step @p984 :rule cnf_or_neg :args (@t257 4)) % 235.42/235.71 (step @p985 :rule chain_m_resolution :premises (@p984 @p277) :args ((not @t251) @t258 @t259)) % 235.42/235.71 (step @p986 :rule cnf_and_neg :args (@t251)) % 235.42/235.71 (step @p987 :rule chain_m_resolution :premises (@p986 @p985 @p983) :args (@t598 @t310 (@list @t251 @t250))) % 235.42/235.71 (step @p988 :rule instantiate :premises (@p899) :args (@t599)) % 235.42/235.71 (step @p989 :rule cnf_or_pos :args (@t602)) % 235.42/235.71 (step @p990 :rule reordering :premises (@p989) :args ((or @t256 @t601 (not @t602)))) % 235.42/235.71 (step @p991 :rule chain_m_resolution :premises (@p990 @p290 @p988) :args (@t601 @t265 (@list @t255 @t602))) % 235.42/235.71 (step @p992 :rule instantiate :premises (@p608) :args ((@list @t197 @t197 tptp.nil @t266))) % 235.42/235.71 (step @p993 :rule instantiate :premises (@p471) :args (@t599)) % 235.42/235.71 (step @p994 :rule cnf_or_pos :args (@t604)) % 235.42/235.71 (step @p995 :rule reordering :premises (@p994) :args ((or @t256 @t603 (not @t604)))) % 235.42/235.71 (step @p996 :rule chain_m_resolution :premises (@p995 @p290 @p993) :args (@t603 @t265 (@list @t255 @t604))) % 235.42/235.71 (step @p997 :rule bool-double-not-elim :args (@t270)) % 235.42/235.71 (step @p998 :rule nary_cong :premises (@p305 @p997) :args ((or @t272 (not @t271)))) % 235.42/235.71 (step @p999 :rule cnf_or_neg :args (@t272 0)) % 235.42/235.71 (step @p1000 :rule eq_resolve :premises (@p999 @p998)) % 235.42/235.71 (step @p1001 :rule reordering :premises (@p1000) :args ((or @t270 @t272))) % 235.42/235.71 (step @p1002 :rule chain_m_resolution :premises (@p1001 @p303) :args (@t270 @t258 @t273)) % 235.42/235.71 (step @p1003 :rule cnf_or_pos :args (@t607)) % 235.42/235.71 (step @p1004 :rule factoring :premises (@p1003)) % 235.42/235.71 (step @p1005 :rule reordering :premises (@p1004) :args ((or @t289 @t256 @t271 @t606 @t605 (not @t607)))) % 235.42/235.72 (step @p1006 :rule chain_m_resolution :premises (@p1005 @p17 @p290 @p1002 @p996 @p992) :args (@t605 (@list false false false false false) (@list @t59 @t255 @t270 @t603 @t607))) % 235.42/235.72 (step @p1007 :rule refl :args (@t608)) % 235.42/235.72 (step @p1008 :rule refl :args (@t609)) % 235.42/235.72 (step @p1009 :rule refl :args (@t269)) % 235.42/235.72 (step @p1010 :rule bool-double-not-elim :args (@t249)) % 235.42/235.72 (step @p1011 :rule nary_cong :premises (@p1010 @p1009 @p1008 @p1007) :args ((or (not @t598) @t269 @t609 @t608))) % 235.42/235.72 (assume-push @p1088 @t605) % 235.42/235.72 (assume-push @p1089 @t601) % 235.42/235.72 (assume-push @p1090 @t268) % 235.42/235.72 (assume-push @p1091 @t598) % 235.42/235.72 (step @p1016 :rule evaluate :args ((= false true))) % 235.42/235.72 (step @p1017 :rule true_intro :premises (@p1006)) % 235.42/235.72 (step @p953 :rule refl :args (@t197)) % 235.42/235.72 (step @p1018 :rule refl :args (@t266)) % 235.42/235.72 (step @p1019 :rule cong :premises (@p991 @p1018) :args (@t267)) % 235.42/235.72 (step @p1020 :rule trans :premises (@p310 @p1019)) % 235.42/235.72 (step @p1021 :rule cong :premises (@p1020 @p953) :args (@t249)) % 235.42/235.72 (step @p1022 :rule false_intro :premises (@p1091)) % 235.42/235.72 (step @p1023 :rule symm :premises (@p1022)) % 235.42/235.72 (step @p1024 :rule trans :premises (@p1023 @p1021 @p1017)) % 235.42/235.72 (step @p1025 false :rule eq_resolve :premises (@p1024 @p1016)) % 235.42/235.72 (step-pop @p1092 :rule scope :premises (@p1025)) % 235.42/235.72 (step-pop @p1093 :rule scope :premises (@p1092)) % 235.42/235.72 (step-pop @p1094 :rule scope :premises (@p1093)) % 235.42/235.72 (step-pop @p1095 :rule scope :premises (@p1094)) % 235.42/235.72 (step @p1026 :rule process_scope :premises (@p1095) :args (false)) % 235.42/235.72 (assume-push @p1096 @t598) % 235.42/235.72 (assume-push @p1097 @t268) % 235.42/235.72 (assume-push @p1098 @t601) % 235.42/235.72 (assume-push @p1099 @t605) % 235.42/235.72 (step @p1035 :rule and_intro :premises (@p1006 @p991 @p310 @p1096)) % 235.42/235.72 (step-pop @p1100 :rule scope :premises (@p1035)) % 235.42/235.72 (step-pop @p1101 :rule scope :premises (@p1100)) % 235.42/235.72 (step-pop @p1102 :rule scope :premises (@p1101)) % 235.42/235.72 (step-pop @p1103 :rule scope :premises (@p1102)) % 235.42/235.72 (step @p1036 :rule process_scope :premises (@p1103) :args (@t610)) % 235.42/235.72 (step @p1041 :rule implies_elim :premises (@p1036)) % 235.42/235.72 (step @p1042 :rule resolution :premises (@p1041 @p1026) :args (true @t610)) % 235.42/235.72 (step @p1043 :rule not_and :premises (@p1042)) % 235.42/235.72 (step @p1044 :rule eq_resolve :premises (@p1043 @p1011)) % 235.42/235.72 (step @p1045 false :rule chain_m_resolution :premises (@p1044 @p1006 @p991 @p987 @p310) :args (false (@list false false true false) (@list @t605 @t601 @t249 @t268))) % 235.42/235.72 ) % 235.42/235.72 % SZS output end Proof % 235.42/235.72 % cvc5 exiting %------------------------------------------------------------------------------