%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC077+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:57 AM UTC 2026 % Result : Theorem 234.90s 235.19s % Output : Proof 234.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWC077+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n008.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:13:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 234.90/235.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 234.90/235.19 --- Run --no-e-matching --full-saturate-quant at 6... % 234.90/235.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 234.90/235.19 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 234.90/235.19 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 234.90/235.19 --- Run --trigger-sel=max --full-saturate-quant at 15... % 234.90/235.19 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 234.90/235.19 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 234.90/235.19 --- Run --prenex-quant=none --full-saturate-quant at 30... % 234.90/235.19 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 234.90/235.19 --- Run --relevant-triggers --full-saturate-quant at 30... % 234.90/235.19 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 234.90/235.19 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 234.90/235.19 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 234.90/235.19 % SZS status Theorem % 234.90/235.19 % SZS output start Proof % 234.90/235.19 ( % 234.90/235.19 (declare-sort $$unsorted 0) % 234.90/235.19 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 234.90/235.19 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 234.90/235.19 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 234.90/235.19 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 234.90/235.19 (declare-const tptp.nil $$unsorted) % 234.90/235.19 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.ssList (-> $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 234.90/235.19 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 234.90/235.19 (define @t1 () (@var "V" $$unsorted)) % 234.90/235.19 (define @t2 () (@var "U" $$unsorted)) % 234.90/235.19 (define @t3 () (= @t2 @t1)) % 234.90/235.19 (define @t4 () (not @t3)) % 234.90/235.19 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 234.90/235.19 (define @t6 () (tptp.ssItem @t1)) % 234.90/235.19 (define @t7 () (@list @t1)) % 234.90/235.19 (define @t8 () (tptp.ssItem @t2)) % 234.90/235.19 (define @t9 () (@list @t2)) % 234.90/235.19 (define @t10 () (@var "X" $$unsorted)) % 234.90/235.19 (define @t11 () (tptp.cons @t1 @t10)) % 234.90/235.19 (define @t12 () (@var "W" $$unsorted)) % 234.90/235.19 (define @t13 () (tptp.ssList @t10)) % 234.90/235.19 (define @t14 () (@list @t10)) % 234.90/235.19 (define @t15 () (tptp.ssList @t12)) % 234.90/235.19 (define @t16 () (@list @t12)) % 234.90/235.19 (define @t17 () (tptp.ssList @t2)) % 234.90/235.19 (define @t18 () (tptp.cons @t1 tptp.nil)) % 234.90/235.19 (define @t19 () (and @t6 (= @t18 @t2))) % 234.90/235.19 (define @t20 () (exists @t7 @t19)) % 234.90/235.19 (define @t21 () (tptp.singletonP @t2)) % 234.90/235.19 (define @t22 () (= @t21 @t20)) % 234.90/235.19 (define @t23 () (=> @t17 @t22)) % 234.90/235.19 (define @t24 () (forall @t9 @t23)) % 234.90/235.19 (define @t25 () (tptp.app @t1 @t12)) % 234.90/235.19 (define @t26 () (and @t15 (= @t25 @t2))) % 234.90/235.19 (define @t27 () (exists @t16 @t26)) % 234.90/235.19 (define @t28 () (tptp.frontsegP @t2 @t1)) % 234.90/235.19 (define @t29 () (= @t28 @t27)) % 234.90/235.19 (define @t30 () (tptp.ssList @t1)) % 234.90/235.19 (define @t31 () (=> @t30 @t29)) % 234.90/235.19 (define @t32 () (forall @t7 @t31)) % 234.90/235.19 (define @t33 () (=> @t17 @t32)) % 234.90/235.19 (define @t34 () (forall @t9 @t33)) % 234.90/235.19 (define @t35 () (tptp.app @t12 @t1)) % 234.90/235.19 (define @t36 () (tptp.rearsegP @t2 @t1)) % 234.90/235.19 (define @t37 () (tptp.segmentP @t2 @t1)) % 234.90/235.19 (define @t38 () (tptp.leq @t12 @t1)) % 234.90/235.19 (define @t39 () (tptp.leq @t1 @t12)) % 234.90/235.19 (define @t40 () (@var "Z" $$unsorted)) % 234.90/235.19 (define @t41 () (@var "Y" $$unsorted)) % 234.90/235.19 (define @t42 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t41)) (tptp.cons @t12 @t40)) @t2)) % 234.90/235.19 (define @t43 () (tptp.ssList @t40)) % 234.90/235.19 (define @t44 () (@list @t40)) % 234.90/235.19 (define @t45 () (tptp.ssList @t41)) % 234.90/235.19 (define @t46 () (@list @t41)) % 234.90/235.19 (define @t47 () (tptp.ssItem @t12)) % 234.90/235.19 (define @t48 () (tptp.lt @t1 @t12)) % 234.90/235.19 (define @t49 () (tptp.strictorderedP @t2)) % 234.90/235.19 (define @t50 () (= @t1 @t12)) % 234.90/235.19 (define @t51 () (forall @t7 (=> @t30 @t5))) % 234.90/235.19 (define @t52 () (=> @t17 @t51)) % 234.90/235.19 (define @t53 () (forall @t9 @t52)) % 234.90/235.19 (define @t54 () (tptp.cons @t1 @t2)) % 234.90/235.19 (define @t55 () (tptp.ssList @t54)) % 234.90/235.19 (define @t56 () (forall @t7 (=> @t6 @t55))) % 234.90/235.19 (define @t57 () (=> @t17 @t56)) % 234.90/235.19 (define @t58 () (forall @t9 @t57)) % 234.90/235.19 (define @t59 () (tptp.ssList tptp.nil)) % 234.90/235.19 (define @t60 () (= @t1 @t2)) % 234.90/235.19 (define @t61 () (tptp.cons @t12 @t1)) % 234.90/235.19 (define @t62 () (and @t47 (= @t61 @t2))) % 234.90/235.19 (define @t63 () (exists @t16 @t62)) % 234.90/235.19 (define @t64 () (and @t30 @t63)) % 234.90/235.19 (define @t65 () (exists @t7 @t64)) % 234.90/235.19 (define @t66 () (= tptp.nil @t2)) % 234.90/235.19 (define @t67 () (or @t66 @t65)) % 234.90/235.19 (define @t68 () (=> @t17 @t67)) % 234.90/235.19 (define @t69 () (forall @t9 @t68)) % 234.90/235.19 (define @t70 () (tptp.hd @t2)) % 234.90/235.19 (define @t71 () (tptp.ssItem @t70)) % 234.90/235.19 (define @t72 () (not @t66)) % 234.90/235.19 (define @t73 () (=> @t72 @t71)) % 234.90/235.19 (define @t74 () (=> @t17 @t73)) % 234.90/235.19 (define @t75 () (forall @t9 @t74)) % 234.90/235.19 (define @t76 () (tptp.tl @t2)) % 234.90/235.19 (define @t77 () (tptp.tl @t54)) % 234.90/235.19 (define @t78 () (=> @t6 (= @t77 @t2))) % 234.90/235.19 (define @t79 () (forall @t7 @t78)) % 234.90/235.19 (define @t80 () (=> @t17 @t79)) % 234.90/235.19 (define @t81 () (forall @t9 @t80)) % 234.90/235.19 (define @t82 () (tptp.app @t2 @t1)) % 234.90/235.19 (define @t83 () (tptp.app @t1 @t2)) % 234.90/235.19 (define @t84 () (= (tptp.cons @t12 @t83) (tptp.app @t61 @t2))) % 234.90/235.19 (define @t85 () (forall @t16 (=> @t47 @t84))) % 234.90/235.19 (define @t86 () (=> @t30 @t85)) % 234.90/235.19 (define @t87 () (forall @t7 @t86)) % 234.90/235.19 (define @t88 () (=> @t17 @t87)) % 234.90/235.19 (define @t89 () (forall @t9 @t88)) % 234.90/235.19 (define @t90 () (tptp.app tptp.nil @t2)) % 234.90/235.19 (define @t91 () (=> @t17 (= @t90 @t2))) % 234.90/235.19 (define @t92 () (forall @t9 @t91)) % 234.90/235.19 (define @t93 () (tptp.leq @t1 @t2)) % 234.90/235.19 (define @t94 () (tptp.leq @t2 @t1)) % 234.90/235.19 (define @t95 () (tptp.geq @t2 @t1)) % 234.90/235.19 (define @t96 () (tptp.lt @t1 @t2)) % 234.90/235.19 (define @t97 () (tptp.lt @t2 @t1)) % 234.90/235.19 (define @t98 () (tptp.lt @t2 @t12)) % 234.90/235.19 (define @t99 () (tptp.gt @t2 @t1)) % 234.90/235.19 (define @t100 () (tptp.memberP @t12 @t2)) % 234.90/235.19 (define @t101 () (tptp.singletonP tptp.nil)) % 234.90/235.19 (define @t102 () (not @t101)) % 234.90/235.19 (define @t103 () (tptp.frontsegP @t1 @t12)) % 234.90/235.19 (define @t104 () (tptp.frontsegP @t1 @t2)) % 234.90/235.19 (define @t105 () (tptp.cons @t2 @t12)) % 234.90/235.19 (define @t106 () (= (tptp.frontsegP @t105 @t11) (and @t3 (tptp.frontsegP @t12 @t10)))) % 234.90/235.19 (define @t107 () (forall @t14 (=> @t13 @t106))) % 234.90/235.19 (define @t108 () (=> @t15 @t107)) % 234.90/235.19 (define @t109 () (forall @t16 @t108)) % 234.90/235.19 (define @t110 () (=> @t6 @t109)) % 234.90/235.19 (define @t111 () (forall @t7 @t110)) % 234.90/235.19 (define @t112 () (=> @t8 @t111)) % 234.90/235.19 (define @t113 () (forall @t9 @t112)) % 234.90/235.19 (define @t114 () (tptp.frontsegP @t2 tptp.nil)) % 234.90/235.19 (define @t115 () (forall @t9 (=> @t17 @t114))) % 234.90/235.19 (define @t116 () (tptp.app @t12 @t2)) % 234.90/235.19 (define @t117 () (tptp.segmentP @t2 @t2)) % 234.90/235.19 (define @t118 () (forall @t9 (=> @t17 @t117))) % 234.90/235.19 (define @t119 () (tptp.segmentP (tptp.app @t116 @t10) @t1)) % 234.90/235.19 (define @t120 () (=> @t37 @t119)) % 234.90/235.19 (define @t121 () (forall @t14 (=> @t13 @t120))) % 234.90/235.19 (define @t122 () (=> @t15 @t121)) % 234.90/235.19 (define @t123 () (forall @t16 @t122)) % 234.90/235.19 (define @t124 () (=> @t30 @t123)) % 234.90/235.19 (define @t125 () (forall @t7 @t124)) % 234.90/235.19 (define @t126 () (=> @t17 @t125)) % 234.90/235.19 (define @t127 () (forall @t9 @t126)) % 234.90/235.19 (define @t128 () (tptp.segmentP tptp.nil @t2)) % 234.90/235.19 (define @t129 () (=> @t17 (= @t128 @t66))) % 234.90/235.19 (define @t130 () (forall @t9 @t129)) % 234.90/235.19 (define @t131 () (tptp.cons @t2 tptp.nil)) % 234.90/235.19 (define @t132 () (tptp.hd @t1)) % 234.90/235.19 (define @t133 () (= tptp.nil @t1)) % 234.90/235.19 (define @t134 () (not @t133)) % 234.90/235.19 (define @t135 () (tptp.cons @t2 @t1)) % 234.90/235.19 (define @t136 () (tptp.strictorderedP @t131)) % 234.90/235.19 (define @t137 () (forall @t9 (=> @t8 @t136))) % 234.90/235.19 (define @t138 () (tptp.cons @t70 @t76)) % 234.90/235.19 (define @t139 () (=> @t72 (= @t138 @t2))) % 234.90/235.19 (define @t140 () (=> @t17 @t139)) % 234.90/235.19 (define @t141 () (forall @t9 @t140)) % 234.90/235.19 (define @t142 () (= @t12 @t2)) % 234.90/235.19 (define @t143 () (and @t133 @t66)) % 234.90/235.19 (define @t144 () (tptp.app @t2 tptp.nil)) % 234.90/235.19 (define @t145 () (=> @t17 (= @t144 @t2))) % 234.90/235.19 (define @t146 () (forall @t9 @t145)) % 234.90/235.19 (define @t147 () (tptp.strictorderedP @t40)) % 234.90/235.19 (define @t148 () (tptp.segmentP @t40 @t12)) % 234.90/235.19 (define @t149 () (tptp.frontsegP @t10 @t40)) % 234.90/235.19 (define @t150 () (tptp.neq @t12 @t40)) % 234.90/235.19 (define @t151 () (and @t43 @t150 @t149 @t148 @t147)) % 234.90/235.19 (define @t152 () (exists @t44 @t151)) % 234.90/235.19 (define @t153 () (tptp.segmentP @t2 @t41)) % 234.90/235.19 (define @t154 () (tptp.segmentP @t1 @t41)) % 234.90/235.19 (define @t155 () (tptp.neq @t41 tptp.nil)) % 234.90/235.19 (define @t156 () (and @t45 @t155 @t154 @t153)) % 234.90/235.19 (define @t157 () (exists @t46 @t156)) % 234.90/235.19 (define @t158 () (not (tptp.strictorderedP @t12))) % 234.90/235.19 (define @t159 () (not (tptp.frontsegP @t10 @t12))) % 234.90/235.19 (define @t160 () (not (= @t2 @t12))) % 234.90/235.19 (define @t161 () (not (= @t1 @t10))) % 234.90/235.19 (define @t162 () (or @t161 @t160 @t159 @t158 @t157 @t152 @t143)) % 234.90/235.19 (define @t163 () (=> @t13 @t162)) % 234.90/235.19 (define @t164 () (forall @t14 @t163)) % 234.90/235.19 (define @t165 () (=> @t15 @t164)) % 234.90/235.19 (define @t166 () (forall @t16 @t165)) % 234.90/235.19 (define @t167 () (=> @t30 @t166)) % 234.90/235.19 (define @t168 () (forall @t7 @t167)) % 234.90/235.19 (define @t169 () (=> @t17 @t168)) % 234.90/235.19 (define @t170 () (forall @t9 @t169)) % 234.90/235.19 (define @t171 () (not @t170)) % 234.90/235.19 (define @t172 () (= @t2 @t144)) % 234.90/235.19 (define @t173 () (not @t147)) % 234.90/235.19 (define @t174 () (not (tptp.segmentP @t40 @t2))) % 234.90/235.19 (define @t175 () (@var "BOUND_VARIABLE_10994" $$unsorted)) % 234.90/235.19 (define @t176 () (not (tptp.neq @t2 @t40))) % 234.90/235.19 (define @t177 () (not @t43)) % 234.90/235.19 (define @t178 () (not (forall @t44 (or @t177 @t176 (not (tptp.frontsegP @t175 @t40)) @t174 @t173)))) % 234.90/235.19 (define @t179 () (not (tptp.frontsegP @t175 @t2))) % 234.90/235.19 (define @t180 () (= @t2 tptp.nil)) % 234.90/235.19 (define @t181 () (not @t153)) % 234.90/235.19 (define @t182 () (not @t155)) % 234.90/235.19 (define @t183 () (not @t45)) % 234.90/235.19 (define @t184 () (not (forall @t46 (or @t183 @t182 (not (tptp.segmentP @t175 @t41)) @t181)))) % 234.90/235.19 (define @t185 () (not (tptp.ssList @t175))) % 234.90/235.19 (define @t186 () (not @t49)) % 234.90/235.19 (define @t187 () (not @t17)) % 234.90/235.19 (define @t188 () (@list @t2 @t175)) % 234.90/235.19 (define @t189 () (forall @t188 (or @t187 @t186 @t185 @t184 (and (= tptp.nil @t175) @t180) @t179 @t178))) % 234.90/235.19 (define @t190 () (@quantifiers_skolemize @t189 0)) % 234.90/235.19 (define @t191 () (@list @t190)) % 234.90/235.19 (define @t192 () (and (= @t175 tptp.nil) @t180)) % 234.90/235.19 (define @t193 () (or @t187 @t186 @t185 @t184 @t192 @t179 @t178)) % 234.90/235.19 (define @t194 () (or @t185 @t184 @t192 @t179 @t178)) % 234.90/235.19 (define @t195 () (or @t187 @t186 @t194)) % 234.90/235.19 (define @t196 () (forall @t188 @t195)) % 234.90/235.19 (define @t197 () (@list @t175)) % 234.90/235.19 (define @t198 () (forall @t197 @t195)) % 234.90/235.19 (define @t199 () (forall @t197 @t194)) % 234.90/235.19 (define @t200 () (@list @t1)) % 234.90/235.19 (define @t201 () (or @t187 @t186 @t199)) % 234.90/235.19 (define @t202 () (not (tptp.frontsegP @t1 @t40))) % 234.90/235.19 (define @t203 () (not (forall @t44 (or @t177 @t176 @t202 @t174 @t173)))) % 234.90/235.19 (define @t204 () (not @t104)) % 234.90/235.19 (define @t205 () (and (= @t1 tptp.nil) @t180)) % 234.90/235.19 (define @t206 () (not @t154)) % 234.90/235.19 (define @t207 () (or @t183 @t182 @t206 @t181)) % 234.90/235.19 (define @t208 () (not (forall @t46 @t207))) % 234.90/235.19 (define @t209 () (not @t30)) % 234.90/235.19 (define @t210 () (or @t209 @t208 @t205 @t204 @t203)) % 234.90/235.19 (define @t211 () (or @t187 @t186 (forall @t7 @t210))) % 234.90/235.19 (define @t212 () (or @t187 @t186 @t210)) % 234.90/235.19 (define @t213 () (or @t209 @t208 @t205 @t187 @t186 @t204 @t203)) % 234.90/235.19 (define @t214 () (or @t208 @t205 @t209 @t187 @t186 @t204 @t203)) % 234.90/235.19 (define @t215 () (or @t187 @t186 @t204 @t203)) % 234.90/235.19 (define @t216 () (not (= @t2 @t2))) % 234.90/235.19 (define @t217 () (or @t187 @t216 @t186 @t204 @t203)) % 234.90/235.19 (define @t218 () (not @t148)) % 234.90/235.19 (define @t219 () (not @t150)) % 234.90/235.19 (define @t220 () (not (forall @t44 (or @t177 @t219 @t202 @t218 @t173)))) % 234.90/235.19 (define @t221 () (not @t103)) % 234.90/235.19 (define @t222 () (not @t15)) % 234.90/235.19 (define @t223 () (or @t160 @t222 @t160 @t158 @t221 @t220)) % 234.90/235.19 (define @t224 () (or @t222 @t160 @t158 @t221 @t220)) % 234.90/235.19 (define @t225 () (forall @t16 @t224)) % 234.90/235.19 (define @t226 () (or @t208 @t205 @t209 @t225)) % 234.90/235.19 (define @t227 () (or @t208 @t205 @t209 @t224)) % 234.90/235.19 (define @t228 () (or @t222 @t160 @t158 @t208 @t205 @t209 @t221 @t220)) % 234.90/235.19 (define @t229 () (or @t160 @t158 @t208 @t205 @t209 @t221 @t220)) % 234.90/235.19 (define @t230 () (or @t209 @t221 @t220)) % 234.90/235.19 (define @t231 () (not (= @t1 @t1))) % 234.90/235.19 (define @t232 () (or @t209 @t231 @t221 @t220)) % 234.90/235.19 (define @t233 () (not @t149)) % 234.90/235.19 (define @t234 () (or @t177 @t219 @t233 @t218 @t173)) % 234.90/235.19 (define @t235 () (not (forall @t44 @t234))) % 234.90/235.19 (define @t236 () (not @t13)) % 234.90/235.19 (define @t237 () (or @t161 @t236 @t161 @t159 @t235)) % 234.90/235.19 (define @t238 () (or @t236 @t161 @t159 @t235)) % 234.90/235.19 (define @t239 () (forall @t14 @t238)) % 234.90/235.19 (define @t240 () (or @t160 @t158 @t208 @t205 @t239)) % 234.90/235.19 (define @t241 () (or @t160 @t158 @t208 @t205 @t238)) % 234.90/235.19 (define @t242 () (or @t236 @t161 @t160 @t159 @t158 @t208 @t235 @t205)) % 234.90/235.19 (define @t243 () (or @t161 @t160 @t159 @t158 @t208 @t235 @t205)) % 234.90/235.19 (define @t244 () (forall @t44 (not @t151))) % 234.90/235.19 (define @t245 () (not @t244)) % 234.90/235.19 (define @t246 () (forall @t46 (not @t156))) % 234.90/235.19 (define @t247 () (not @t246)) % 234.90/235.19 (define @t248 () (@quantifiers_skolemize @t189 1)) % 234.90/235.19 (define @t249 () (forall @t44 (or @t177 (not (tptp.neq @t190 @t40)) (not (tptp.frontsegP @t248 @t40)) (not (tptp.segmentP @t40 @t190)) @t173))) % 234.90/235.19 (define @t250 () (not @t249)) % 234.90/235.19 (define @t251 () (tptp.frontsegP @t248 @t190)) % 234.90/235.19 (define @t252 () (not @t251)) % 234.90/235.19 (define @t253 () (= tptp.nil @t190)) % 234.90/235.19 (define @t254 () (= tptp.nil @t248)) % 234.90/235.19 (define @t255 () (and @t254 @t253)) % 234.90/235.19 (define @t256 () (forall @t46 (or @t183 @t182 (not (tptp.segmentP @t248 @t41)) (not (tptp.segmentP @t190 @t41))))) % 234.90/235.19 (define @t257 () (not @t256)) % 234.90/235.19 (define @t258 () (tptp.ssList @t248)) % 234.90/235.19 (define @t259 () (not @t258)) % 234.90/235.19 (define @t260 () (not (tptp.strictorderedP @t190))) % 234.90/235.19 (define @t261 () (tptp.ssList @t190)) % 234.90/235.19 (define @t262 () (not @t261)) % 234.90/235.19 (define @t263 () (or @t262 @t260 @t259 @t257 @t255 @t252 @t250)) % 234.90/235.19 (define @t264 () (not @t263)) % 234.90/235.19 (define @t265 () (not @t189)) % 234.90/235.19 (define @t266 () (= @t190 tptp.nil)) % 234.90/235.19 (define @t267 () (and @t254 @t266)) % 234.90/235.19 (define @t268 () (or @t262 @t260 @t259 @t257 @t267 @t252 @t250)) % 234.90/235.19 (define @t269 () (not @t268)) % 234.90/235.19 (define @t270 () (@list true)) % 234.90/235.19 (define @t271 () (@list @t263)) % 234.90/235.19 (define @t272 () (tptp.app @t190 tptp.nil)) % 234.90/235.19 (define @t273 () (= @t190 @t272)) % 234.90/235.19 (define @t274 () (or @t262 @t273)) % 234.90/235.19 (define @t275 () (@list false false)) % 234.90/235.19 (define @t276 () (@var "BOUND_VARIABLE_9102" $$unsorted)) % 234.90/235.19 (define @t277 () (= (tptp.neq @t2 @t276) (not (= @t2 @t276)))) % 234.90/235.19 (define @t278 () (not (tptp.ssList @t276))) % 234.90/235.19 (define @t279 () (or @t187 @t278 @t277)) % 234.90/235.19 (define @t280 () (or @t278 @t277)) % 234.90/235.19 (define @t281 () (or @t187 @t280)) % 234.90/235.19 (define @t282 () (@list @t2 @t276)) % 234.90/235.19 (define @t283 () (forall @t282 @t281)) % 234.90/235.19 (define @t284 () (@list @t276)) % 234.90/235.19 (define @t285 () (forall @t284 @t281)) % 234.90/235.19 (define @t286 () (forall @t284 @t280)) % 234.90/235.19 (define @t287 () (or @t187 @t286)) % 234.90/235.19 (define @t288 () (forall @t7 (or @t209 @t5))) % 234.90/235.19 (define @t289 () (tptp.neq @t190 tptp.nil)) % 234.90/235.19 (define @t290 () (not @t253)) % 234.90/235.19 (define @t291 () (not @t266)) % 234.90/235.19 (define @t292 () (= @t289 @t291)) % 234.90/235.19 (define @t293 () (not @t59)) % 234.90/235.19 (define @t294 () (or @t262 @t293 @t292)) % 234.90/235.19 (define @t295 () (forall @t282 @t279)) % 234.90/235.19 (define @t296 () (= @t290 @t289)) % 234.90/235.19 (define @t297 () (or @t262 @t293 @t296)) % 234.90/235.19 (define @t298 () (@list false)) % 234.90/235.19 (define @t299 () (@list @t295)) % 234.90/235.19 (define @t300 () (@list false false false)) % 234.90/235.19 (define @t301 () (@var "BOUND_VARIABLE_10201" $$unsorted)) % 234.90/235.19 (define @t302 () (@var "BOUND_VARIABLE_10205" $$unsorted)) % 234.90/235.19 (define @t303 () (@var "BOUND_VARIABLE_10203" $$unsorted)) % 234.90/235.19 (define @t304 () (tptp.segmentP (tptp.app (tptp.app @t303 @t2) @t302) @t301)) % 234.90/235.19 (define @t305 () (not (tptp.ssList @t302))) % 234.90/235.19 (define @t306 () (not (tptp.ssList @t303))) % 234.90/235.19 (define @t307 () (not (tptp.segmentP @t2 @t301))) % 234.90/235.19 (define @t308 () (not (tptp.ssList @t301))) % 234.90/235.19 (define @t309 () (or @t308 @t307 @t306 @t305 @t304)) % 234.90/235.19 (define @t310 () (or @t187 @t309)) % 234.90/235.19 (define @t311 () (forall (@list @t2 @t301 @t303 @t302) @t310)) % 234.90/235.19 (define @t312 () (@list @t301 @t303 @t302)) % 234.90/235.19 (define @t313 () (forall @t312 @t310)) % 234.90/235.19 (define @t314 () (forall @t312 @t309)) % 234.90/235.19 (define @t315 () (@var "BOUND_VARIABLE_10182" $$unsorted)) % 234.90/235.19 (define @t316 () (@var "BOUND_VARIABLE_10180" $$unsorted)) % 234.90/235.19 (define @t317 () (or @t187 @t314)) % 234.90/235.19 (define @t318 () (tptp.segmentP (tptp.app (tptp.app @t316 @t2) @t315) @t1)) % 234.90/235.19 (define @t319 () (not (tptp.ssList @t315))) % 234.90/235.19 (define @t320 () (not (tptp.ssList @t316))) % 234.90/235.19 (define @t321 () (not @t37)) % 234.90/235.19 (define @t322 () (or @t209 @t321 @t320 @t319 @t318)) % 234.90/235.19 (define @t323 () (@list @t1 @t316 @t315)) % 234.90/235.19 (define @t324 () (forall @t323 @t322)) % 234.90/235.19 (define @t325 () (or @t320 @t319 @t318)) % 234.90/235.19 (define @t326 () (or @t209 @t321 @t325)) % 234.90/235.19 (define @t327 () (forall @t323 @t326)) % 234.90/235.19 (define @t328 () (@list @t316 @t315)) % 234.90/235.19 (define @t329 () (forall @t328 @t326)) % 234.90/235.19 (define @t330 () (forall @t328 @t325)) % 234.90/235.19 (define @t331 () (@var "BOUND_VARIABLE_10163" $$unsorted)) % 234.90/235.19 (define @t332 () (or @t209 @t321 @t330)) % 234.90/235.19 (define @t333 () (tptp.segmentP (tptp.app @t116 @t331) @t1)) % 234.90/235.19 (define @t334 () (not (tptp.ssList @t331))) % 234.90/235.19 (define @t335 () (or @t222 @t334 @t333)) % 234.90/235.19 (define @t336 () (@list @t12 @t331)) % 234.90/235.19 (define @t337 () (forall @t336 @t335)) % 234.90/235.19 (define @t338 () (or @t209 @t321 @t337)) % 234.90/235.19 (define @t339 () (or @t321 @t337)) % 234.90/235.19 (define @t340 () (or @t334 @t333)) % 234.90/235.19 (define @t341 () (or @t222 @t340)) % 234.90/235.19 (define @t342 () (forall @t336 @t341)) % 234.90/235.19 (define @t343 () (@list @t331)) % 234.90/235.19 (define @t344 () (forall @t343 @t341)) % 234.90/235.19 (define @t345 () (forall @t343 @t340)) % 234.90/235.19 (define @t346 () (@list @t10)) % 234.90/235.19 (define @t347 () (or @t222 @t345)) % 234.90/235.19 (define @t348 () (or @t236 @t119)) % 234.90/235.19 (define @t349 () (forall @t14 @t348)) % 234.90/235.19 (define @t350 () (or @t222 @t349)) % 234.90/235.19 (define @t351 () (forall @t16 @t350)) % 234.90/235.19 (define @t352 () (or @t321 @t351)) % 234.90/235.19 (define @t353 () (or @t321 @t350)) % 234.90/235.19 (define @t354 () (or @t222 @t321 @t349)) % 234.90/235.19 (define @t355 () (or @t321 @t349)) % 234.90/235.19 (define @t356 () (or @t321 @t348)) % 234.90/235.19 (define @t357 () (or @t236 @t321 @t119)) % 234.90/235.19 (define @t358 () (forall @t16 (or @t222 (not (= @t248 (tptp.app @t190 @t12)))))) % 234.90/235.19 (define @t359 () (@quantifiers_skolemize @t358 0)) % 234.90/235.19 (define @t360 () (@var "BOUND_VARIABLE_8310" $$unsorted)) % 234.90/235.19 (define @t361 () (= (tptp.frontsegP @t2 @t360) (not (forall @t16 (or @t222 (not (= @t2 (tptp.app @t360 @t12)))))))) % 234.90/235.19 (define @t362 () (not (tptp.ssList @t360))) % 234.90/235.19 (define @t363 () (or @t362 @t361)) % 234.90/235.19 (define @t364 () (or @t187 @t363)) % 234.90/235.19 (define @t365 () (forall (@list @t2 @t360) @t364)) % 234.90/235.19 (define @t366 () (@list @t360)) % 234.90/235.19 (define @t367 () (forall @t366 @t364)) % 234.90/235.19 (define @t368 () (forall @t366 @t363)) % 234.90/235.19 (define @t369 () (or @t187 @t368)) % 234.90/235.19 (define @t370 () (= @t2 @t25)) % 234.90/235.19 (define @t371 () (= @t28 (not (forall @t16 (or @t222 (not @t370)))))) % 234.90/235.19 (define @t372 () (forall @t7 (or @t209 @t371))) % 234.90/235.19 (define @t373 () (and @t15 @t370)) % 234.90/235.19 (define @t374 () (forall @t16 (not @t373))) % 234.90/235.19 (define @t375 () (not @t374)) % 234.90/235.19 (define @t376 () (not @t358)) % 234.90/235.19 (define @t377 () (= @t251 @t376)) % 234.90/235.19 (define @t378 () (or @t259 @t262 @t377)) % 234.90/235.19 (define @t379 () (tptp.ssList @t359)) % 234.90/235.19 (define @t380 () (tptp.app @t190 @t359)) % 234.90/235.19 (define @t381 () (= @t248 @t380)) % 234.90/235.19 (define @t382 () (not @t381)) % 234.90/235.19 (define @t383 () (not @t379)) % 234.90/235.19 (define @t384 () (or @t383 @t382)) % 234.90/235.19 (define @t385 () (@list @t384)) % 234.90/235.19 (define @t386 () (tptp.segmentP @t190 @t190)) % 234.90/235.19 (define @t387 () (or @t262 @t386)) % 234.90/235.19 (define @t388 () (tptp.app tptp.nil @t190)) % 234.90/235.19 (define @t389 () (tptp.segmentP (tptp.app @t388 @t359) @t190)) % 234.90/235.19 (define @t390 () (not @t386)) % 234.90/235.19 (define @t391 () (or @t262 @t262 @t390 @t293 @t383 @t389)) % 234.90/235.19 (define @t392 () (@list false false false false false)) % 234.90/235.19 (define @t393 () (= @t2 @t90)) % 234.90/235.19 (define @t394 () (= @t190 @t388)) % 234.90/235.19 (define @t395 () (or @t262 @t394)) % 234.90/235.19 (define @t396 () (tptp.segmentP @t248 @t190)) % 234.90/235.19 (define @t397 () (not @t396)) % 234.90/235.19 (define @t398 () (not @t289)) % 234.90/235.19 (define @t399 () (or @t262 @t398 @t397 @t390)) % 234.90/235.19 (define @t400 () (@list false false false false)) % 234.90/235.19 (define @t401 () (not @t296)) % 234.90/235.19 (define @t402 () (@list true false)) % 234.90/235.19 (define @t403 () (@var "BOUND_VARIABLE_9404" $$unsorted)) % 234.90/235.19 (define @t404 () (@var "BOUND_VARIABLE_9406" $$unsorted)) % 234.90/235.19 (define @t405 () (= (tptp.cons @t404 (tptp.app @t403 @t2)) (tptp.app (tptp.cons @t404 @t403) @t2))) % 234.90/235.19 (define @t406 () (not (tptp.ssItem @t404))) % 234.90/235.19 (define @t407 () (not (tptp.ssList @t403))) % 234.90/235.19 (define @t408 () (or @t407 @t406 @t405)) % 234.90/235.19 (define @t409 () (or @t187 @t408)) % 234.90/235.19 (define @t410 () (forall (@list @t2 @t403 @t404) @t409)) % 234.90/235.19 (define @t411 () (@list @t403 @t404)) % 234.90/235.19 (define @t412 () (forall @t411 @t409)) % 234.90/235.19 (define @t413 () (forall @t411 @t408)) % 234.90/235.19 (define @t414 () (@var "BOUND_VARIABLE_9386" $$unsorted)) % 234.90/235.19 (define @t415 () (or @t187 @t413)) % 234.90/235.19 (define @t416 () (= (tptp.cons @t414 @t83) (tptp.app (tptp.cons @t414 @t1) @t2))) % 234.90/235.19 (define @t417 () (not (tptp.ssItem @t414))) % 234.90/235.19 (define @t418 () (or @t209 @t417 @t416)) % 234.90/235.19 (define @t419 () (@list @t1 @t414)) % 234.90/235.19 (define @t420 () (forall @t419 @t418)) % 234.90/235.19 (define @t421 () (or @t417 @t416)) % 234.90/235.19 (define @t422 () (or @t209 @t421)) % 234.90/235.19 (define @t423 () (forall @t419 @t422)) % 234.90/235.19 (define @t424 () (@list @t414)) % 234.90/235.19 (define @t425 () (forall @t424 @t422)) % 234.90/235.19 (define @t426 () (forall @t424 @t421)) % 234.90/235.19 (define @t427 () (@list @t12)) % 234.90/235.19 (define @t428 () (or @t209 @t426)) % 234.90/235.19 (define @t429 () (not @t47)) % 234.90/235.19 (define @t430 () (forall @t16 (or @t429 @t84))) % 234.90/235.19 (define @t431 () (tptp.hd @t248)) % 234.90/235.19 (define @t432 () (or @t187 @t180 @t71)) % 234.90/235.19 (define @t433 () (not @t180)) % 234.90/235.19 (define @t434 () (not @t433)) % 234.90/235.19 (define @t435 () (=> @t433 @t71)) % 234.90/235.19 (define @t436 () (tptp.ssItem @t431)) % 234.90/235.19 (define @t437 () (= @t248 tptp.nil)) % 234.90/235.19 (define @t438 () (or @t259 @t437 @t436)) % 234.90/235.19 (define @t439 () (forall @t9 @t432)) % 234.90/235.19 (define @t440 () (@list @t248)) % 234.90/235.19 (define @t441 () (or @t259 @t254 @t436)) % 234.90/235.19 (define @t442 () (@list false true false)) % 234.90/235.19 (define @t443 () (tptp.cons @t431 @t190)) % 234.90/235.19 (define @t444 () (tptp.app @t443 tptp.nil)) % 234.90/235.19 (define @t445 () (= (tptp.cons @t431 @t272) @t444)) % 234.90/235.19 (define @t446 () (not @t436)) % 234.90/235.19 (define @t447 () (or @t293 @t262 @t446 @t445)) % 234.90/235.19 (define @t448 () (tptp.cons @t431 tptp.nil)) % 234.90/235.19 (define @t449 () (@var "BOUND_VARIABLE_9901" $$unsorted)) % 234.90/235.19 (define @t450 () (@var "BOUND_VARIABLE_9899" $$unsorted)) % 234.90/235.19 (define @t451 () (@var "BOUND_VARIABLE_9897" $$unsorted)) % 234.90/235.19 (define @t452 () (= (tptp.frontsegP (tptp.cons @t2 @t450) (tptp.cons @t451 @t449)) (and (= @t2 @t451) (tptp.frontsegP @t450 @t449)))) % 234.90/235.19 (define @t453 () (not (tptp.ssList @t449))) % 234.90/235.19 (define @t454 () (not (tptp.ssList @t450))) % 234.90/235.19 (define @t455 () (not (tptp.ssItem @t451))) % 234.90/235.19 (define @t456 () (not @t8)) % 234.90/235.19 (define @t457 () (or @t456 @t455 @t454 @t453 @t452)) % 234.90/235.19 (define @t458 () (or @t455 @t454 @t453 @t452)) % 234.90/235.19 (define @t459 () (or @t456 @t458)) % 234.90/235.19 (define @t460 () (@list @t2 @t451 @t450 @t449)) % 234.90/235.19 (define @t461 () (forall @t460 @t459)) % 234.90/235.19 (define @t462 () (@list @t451 @t450 @t449)) % 234.90/235.19 (define @t463 () (forall @t462 @t459)) % 234.90/235.19 (define @t464 () (forall @t462 @t458)) % 234.90/235.19 (define @t465 () (@var "BOUND_VARIABLE_9875" $$unsorted)) % 234.90/235.19 (define @t466 () (@var "BOUND_VARIABLE_9873" $$unsorted)) % 234.90/235.19 (define @t467 () (or @t456 @t464)) % 234.90/235.19 (define @t468 () (= (tptp.frontsegP (tptp.cons @t2 @t466) (tptp.cons @t1 @t465)) (and @t3 (tptp.frontsegP @t466 @t465)))) % 234.90/235.19 (define @t469 () (not (tptp.ssList @t465))) % 234.90/235.19 (define @t470 () (not (tptp.ssList @t466))) % 234.90/235.19 (define @t471 () (not @t6)) % 234.90/235.19 (define @t472 () (or @t471 @t470 @t469 @t468)) % 234.90/235.19 (define @t473 () (@list @t1 @t466 @t465)) % 234.90/235.19 (define @t474 () (forall @t473 @t472)) % 234.90/235.19 (define @t475 () (or @t470 @t469 @t468)) % 234.90/235.19 (define @t476 () (or @t471 @t475)) % 234.90/235.19 (define @t477 () (forall @t473 @t476)) % 234.90/235.19 (define @t478 () (@list @t466 @t465)) % 234.90/235.19 (define @t479 () (forall @t478 @t476)) % 234.90/235.19 (define @t480 () (forall @t478 @t475)) % 234.90/235.19 (define @t481 () (@var "BOUND_VARIABLE_9854" $$unsorted)) % 234.90/235.19 (define @t482 () (or @t471 @t480)) % 234.90/235.19 (define @t483 () (= (tptp.frontsegP @t105 (tptp.cons @t1 @t481)) (and @t3 (tptp.frontsegP @t12 @t481)))) % 234.90/235.19 (define @t484 () (not (tptp.ssList @t481))) % 234.90/235.19 (define @t485 () (or @t222 @t484 @t483)) % 234.90/235.19 (define @t486 () (@list @t12 @t481)) % 234.90/235.19 (define @t487 () (forall @t486 @t485)) % 234.90/235.19 (define @t488 () (or @t484 @t483)) % 234.90/235.19 (define @t489 () (or @t222 @t488)) % 234.90/235.19 (define @t490 () (forall @t486 @t489)) % 234.90/235.19 (define @t491 () (@list @t481)) % 234.90/235.19 (define @t492 () (forall @t491 @t489)) % 234.90/235.19 (define @t493 () (forall @t491 @t488)) % 234.90/235.19 (define @t494 () (or @t222 @t493)) % 234.90/235.19 (define @t495 () (forall @t14 (or @t236 @t106))) % 234.90/235.19 (define @t496 () (tptp.tl @t248)) % 234.90/235.19 (define @t497 () (tptp.cons @t431 @t496)) % 234.90/235.19 (define @t498 () (tptp.frontsegP @t497 @t448)) % 234.90/235.19 (define @t499 () (tptp.frontsegP @t496 tptp.nil)) % 234.90/235.19 (define @t500 () (and (= @t431 @t431) @t499)) % 234.90/235.19 (define @t501 () (= @t498 @t500)) % 234.90/235.19 (define @t502 () (tptp.ssList @t496)) % 234.90/235.19 (define @t503 () (not @t502)) % 234.90/235.19 (define @t504 () (or @t446 @t446 @t503 @t293 @t501)) % 234.90/235.19 (define @t505 () (forall @t460 @t457)) % 234.90/235.19 (define @t506 () (= @t499 @t498)) % 234.90/235.19 (define @t507 () (or @t446 @t446 @t503 @t293 @t506)) % 234.90/235.19 (define @t508 () (@var "BOUND_VARIABLE_9260" $$unsorted)) % 234.90/235.19 (define @t509 () (tptp.cons @t508 @t1)) % 234.90/235.19 (define @t510 () (not (= @t2 @t509))) % 234.90/235.19 (define @t511 () (not (tptp.ssItem @t508))) % 234.90/235.19 (define @t512 () (or @t209 @t511 @t510)) % 234.90/235.19 (define @t513 () (@list @t1 @t508)) % 234.90/235.19 (define @t514 () (not (forall @t513 @t512))) % 234.90/235.19 (define @t515 () (or @t187 @t180 @t514)) % 234.90/235.19 (define @t516 () (or @t180 @t514)) % 234.90/235.19 (define @t517 () (or @t511 @t510)) % 234.90/235.19 (define @t518 () (or @t209 @t517)) % 234.90/235.19 (define @t519 () (forall @t513 @t518)) % 234.90/235.19 (define @t520 () (@list @t508)) % 234.90/235.19 (define @t521 () (forall @t520 @t518)) % 234.90/235.19 (define @t522 () (forall @t520 @t517)) % 234.90/235.19 (define @t523 () (or @t209 @t522)) % 234.90/235.19 (define @t524 () (= @t2 @t61)) % 234.90/235.19 (define @t525 () (forall @t16 (or @t429 (not @t524)))) % 234.90/235.19 (define @t526 () (not @t525)) % 234.90/235.19 (define @t527 () (and @t30 @t526)) % 234.90/235.19 (define @t528 () (forall @t7 (not @t527))) % 234.90/235.19 (define @t529 () (not @t528)) % 234.90/235.19 (define @t530 () (and @t47 @t524)) % 234.90/235.19 (define @t531 () (forall @t16 (not @t530))) % 234.90/235.19 (define @t532 () (not @t531)) % 234.90/235.19 (define @t533 () (not (= @t248 @t509))) % 234.90/235.19 (define @t534 () (or @t209 @t511 @t533)) % 234.90/235.19 (define @t535 () (forall @t513 @t534)) % 234.90/235.19 (define @t536 () (not @t535)) % 234.90/235.19 (define @t537 () (or @t259 @t437 @t536)) % 234.90/235.19 (define @t538 () (forall @t9 @t515)) % 234.90/235.19 (define @t539 () (forall @t513 (or @t209 @t511 (not (= @t509 @t248))))) % 234.90/235.19 (define @t540 () (not @t539)) % 234.90/235.19 (define @t541 () (or @t259 @t254 @t540)) % 234.90/235.19 (define @t542 () (@quantifiers_skolemize @t539 0)) % 234.90/235.19 (define @t543 () (@quantifiers_skolemize @t539 1)) % 234.90/235.19 (define @t544 () (tptp.cons @t543 @t542)) % 234.90/235.19 (define @t545 () (= @t248 @t544)) % 234.90/235.19 (define @t546 () (not @t545)) % 234.90/235.19 (define @t547 () (tptp.ssItem @t543)) % 234.90/235.19 (define @t548 () (not @t547)) % 234.90/235.19 (define @t549 () (tptp.ssList @t542)) % 234.90/235.19 (define @t550 () (not @t549)) % 234.90/235.19 (define @t551 () (or @t550 @t548 @t546)) % 234.90/235.19 (define @t552 () (not @t551)) % 234.90/235.19 (define @t553 () (not (= @t544 @t248))) % 234.90/235.19 (define @t554 () (or @t550 @t548 @t553)) % 234.90/235.19 (define @t555 () (not @t554)) % 234.90/235.19 (define @t556 () (@list @t551)) % 234.90/235.19 (define @t557 () (@var "BOUND_VARIABLE_9347" $$unsorted)) % 234.90/235.19 (define @t558 () (= @t2 (tptp.tl (tptp.cons @t557 @t2)))) % 234.90/235.19 (define @t559 () (not (tptp.ssItem @t557))) % 234.90/235.19 (define @t560 () (or @t559 @t558)) % 234.90/235.19 (define @t561 () (or @t187 @t560)) % 234.90/235.19 (define @t562 () (forall (@list @t2 @t557) @t561)) % 234.90/235.19 (define @t563 () (@list @t557)) % 234.90/235.19 (define @t564 () (forall @t563 @t561)) % 234.90/235.19 (define @t565 () (forall @t563 @t560)) % 234.90/235.19 (define @t566 () (or @t187 @t565)) % 234.90/235.19 (define @t567 () (= @t2 @t77)) % 234.90/235.19 (define @t568 () (forall @t7 (or @t471 @t567))) % 234.90/235.19 (define @t569 () (= @t542 (tptp.tl @t544))) % 234.90/235.19 (define @t570 () (or @t550 @t548 @t569)) % 234.90/235.19 (define @t571 () (tptp.frontsegP @t542 tptp.nil)) % 234.90/235.19 (define @t572 () (or @t550 @t571)) % 234.90/235.19 (define @t573 () (= @t2 @t138)) % 234.90/235.19 (define @t574 () (or @t187 @t180 @t573)) % 234.90/235.19 (define @t575 () (=> @t433 @t573)) % 234.90/235.19 (define @t576 () (= @t248 @t497)) % 234.90/235.19 (define @t577 () (or @t259 @t437 @t576)) % 234.90/235.19 (define @t578 () (forall @t9 @t574)) % 234.90/235.19 (define @t579 () (or @t259 @t254 @t576)) % 234.90/235.19 (define @t580 () (tptp.frontsegP @t248 @t448)) % 234.90/235.19 (define @t581 () (tptp.neq @t190 @t448)) % 234.90/235.19 (define @t582 () (= @t190 @t448)) % 234.90/235.19 (define @t583 () (not @t582)) % 234.90/235.19 (define @t584 () (tptp.ssList @t448)) % 234.90/235.19 (define @t585 () (not @t584)) % 234.90/235.19 (define @t586 () (or @t262 @t585 (= @t581 @t583))) % 234.90/235.19 (define @t587 () (= @t583 @t581)) % 234.90/235.19 (define @t588 () (or @t262 @t585 @t587)) % 234.90/235.19 (define @t589 () (@var "BOUND_VARIABLE_9123" $$unsorted)) % 234.90/235.19 (define @t590 () (tptp.ssList (tptp.cons @t589 @t2))) % 234.90/235.19 (define @t591 () (not (tptp.ssItem @t589))) % 234.90/235.19 (define @t592 () (or @t591 @t590)) % 234.90/235.19 (define @t593 () (or @t187 @t592)) % 234.90/235.19 (define @t594 () (forall (@list @t2 @t589) @t593)) % 234.90/235.19 (define @t595 () (@list @t589)) % 234.90/235.19 (define @t596 () (forall @t595 @t593)) % 234.90/235.19 (define @t597 () (forall @t595 @t592)) % 234.90/235.19 (define @t598 () (or @t187 @t597)) % 234.90/235.19 (define @t599 () (forall @t7 (or @t471 @t55))) % 234.90/235.19 (define @t600 () (or @t293 @t446 @t584)) % 234.90/235.19 (define @t601 () (= @t2 @t18)) % 234.90/235.19 (define @t602 () (= @t21 (not (forall @t7 (or @t471 (not @t601)))))) % 234.90/235.19 (define @t603 () (and @t6 @t601)) % 234.90/235.19 (define @t604 () (forall @t7 (not @t603))) % 234.90/235.19 (define @t605 () (not @t604)) % 234.90/235.19 (define @t606 () (not (= @t190 @t18))) % 234.90/235.19 (define @t607 () (or @t471 @t606)) % 234.90/235.19 (define @t608 () (forall @t7 @t607)) % 234.90/235.19 (define @t609 () (not @t608)) % 234.90/235.19 (define @t610 () (tptp.singletonP @t190)) % 234.90/235.19 (define @t611 () (= @t610 @t609)) % 234.90/235.19 (define @t612 () (or @t262 @t611)) % 234.90/235.19 (define @t613 () (forall @t9 (or @t187 @t602))) % 234.90/235.19 (define @t614 () (forall @t7 (or @t471 (not (= @t18 @t190))))) % 234.90/235.19 (define @t615 () (not @t614)) % 234.90/235.19 (define @t616 () (= @t610 @t615)) % 234.90/235.19 (define @t617 () (or @t262 @t616)) % 234.90/235.19 (define @t618 () (not @t610)) % 234.90/235.19 (define @t619 () (= false true)) % 234.90/235.19 (define @t620 () (and @t610 @t253 @t102)) % 234.90/235.19 (define @t621 () (not @t616)) % 234.90/235.19 (define @t622 () (not (= @t448 @t190))) % 234.90/235.19 (define @t623 () (or @t446 @t622)) % 234.90/235.19 (define @t624 () (@list @t431)) % 234.90/235.19 (define @t625 () (or @t446 @t583)) % 234.90/235.19 (define @t626 () (not @t587)) % 234.90/235.19 (define @t627 () (tptp.strictorderedP @t448)) % 234.90/235.19 (define @t628 () (or @t446 @t627)) % 234.90/235.19 (define @t629 () (not @t627)) % 234.90/235.19 (define @t630 () (tptp.segmentP @t448 @t190)) % 234.90/235.19 (define @t631 () (not @t630)) % 234.90/235.19 (define @t632 () (not @t580)) % 234.90/235.19 (define @t633 () (not @t581)) % 234.90/235.19 (define @t634 () (or @t585 @t633 @t632 @t631 @t629)) % 234.90/235.19 (define @t635 () (= @t128 @t180)) % 234.90/235.19 (define @t636 () (tptp.segmentP tptp.nil @t190)) % 234.90/235.19 (define @t637 () (or @t262 (= @t636 @t266))) % 234.90/235.19 (define @t638 () (forall @t9 (or @t187 @t635))) % 234.90/235.19 (define @t639 () (= @t253 @t636)) % 234.90/235.19 (define @t640 () (or @t262 @t639)) % 234.90/235.19 (define @t641 () (tptp.app @t448 tptp.nil)) % 234.90/235.19 (define @t642 () (tptp.segmentP (tptp.app @t641 tptp.nil) @t190)) % 234.90/235.19 (define @t643 () (not @t636)) % 234.90/235.19 (define @t644 () (or @t293 @t262 @t643 @t585 @t293 @t642)) % 234.90/235.19 (define @t645 () (not @t642)) % 234.90/235.19 (define @t646 () (not @t445)) % 234.90/235.19 (define @t647 () (not @t273)) % 234.90/235.19 (define @t648 () (and @t642 @t253 @t445 @t273 @t631)) % 234.90/235.19 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 234.90/235.19 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 234.90/235.19 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 234.90/235.19 (assume @p4 @t24) % 234.90/235.19 (assume @p5 @t34) % 234.90/235.19 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (= @t36 (exists @t16 (and @t15 (= @t35 @t2))))))))) % 234.90/235.19 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (= @t37 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t35 @t10) @t2))))))))))) % 234.90/235.19 (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))))))))))))))))) % 234.90/235.19 (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)))))))))))))))) % 234.90/235.19 (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))))))))))))))))) % 234.90/235.19 (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))))))))))))))) % 234.90/235.19 (assume @p12 (forall @t9 (=> @t17 (= @t49 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (=> @t42 @t48))))))))))))))) % 234.90/235.19 (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 @t50)))))))))))))))) % 234.90/235.19 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t47 (forall @t14 (=> @t13 (forall @t46 (=> @t45 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t41))) @t2) @t50))))))))))))) % 234.90/235.19 (assume @p15 @t53) % 234.90/235.19 (assume @p16 @t58) % 234.90/235.19 (assume @p17 @t59) % 234.90/235.19 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t54 @t2))))))) % 234.90/235.19 (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))))))))))) % 234.90/235.19 (assume @p20 @t69) % 234.90/235.19 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 234.90/235.19 (assume @p22 @t75) % 234.90/235.19 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 234.90/235.19 (assume @p24 (forall @t9 (=> @t17 (=> @t72 (tptp.ssList @t76))))) % 234.90/235.19 (assume @p25 @t81) % 234.90/235.19 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (tptp.ssList @t82)))))) % 234.90/235.19 (assume @p27 @t89) % 234.90/235.19 (assume @p28 @t92) % 234.90/235.19 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t94 @t93) @t3)))))) % 234.90/235.19 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t94 @t39) (tptp.leq @t2 @t12))))))))) % 234.90/235.19 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 234.90/235.19 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t95 @t93)))))) % 234.90/235.19 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t97 (not @t96))))))) % 234.90/235.19 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t97 @t48) @t98)))))))) % 234.90/235.19 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t99 @t96)))))) % 234.90/235.19 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t100))))))))) % 234.90/235.19 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t100))))))))) % 234.90/235.19 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 234.90/235.19 (assume @p39 @t102) % 234.90/235.19 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (and @t28 @t103) (tptp.frontsegP @t2 @t12))))))))) % 234.90/235.19 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t28 @t104) @t3)))))) % 234.90/235.19 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 234.90/235.19 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> @t28 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 234.90/235.19 (assume @p44 @t113) % 234.90/235.19 (assume @p45 @t115) % 234.90/235.19 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t66)))) % 234.90/235.19 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (and @t36 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 234.90/235.19 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t36 (tptp.rearsegP @t1 @t2)) @t3)))))) % 234.90/235.19 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 234.90/235.19 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> @t36 (tptp.rearsegP @t116 @t1))))))))) % 234.90/235.19 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 234.90/235.19 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t66)))) % 234.90/235.19 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (and @t37 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 234.90/235.19 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t37 (tptp.segmentP @t1 @t2)) @t3)))))) % 234.90/235.19 (assume @p55 @t118) % 234.90/235.19 (assume @p56 @t127) % 234.90/235.19 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 234.90/235.19 (assume @p58 @t130) % 234.90/235.19 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t131)))) % 234.90/235.19 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 234.90/235.19 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t131)))) % 234.90/235.19 (assume @p62 (tptp.totalorderP tptp.nil)) % 234.90/235.19 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t131)))) % 234.90/235.19 (assume @p64 (tptp.strictorderP tptp.nil)) % 234.90/235.19 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t131)))) % 234.90/235.19 (assume @p66 (tptp.totalorderedP tptp.nil)) % 234.90/235.19 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t30 (= (tptp.totalorderedP @t135) (or @t133 (and @t134 (tptp.totalorderedP @t1) (tptp.leq @t2 @t132))))))))) % 234.90/235.19 (assume @p68 @t137) % 234.90/235.19 (assume @p69 (tptp.strictorderedP tptp.nil)) % 234.90/235.19 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t30 (= (tptp.strictorderedP @t135) (or @t133 (and @t134 (tptp.strictorderedP @t1) (tptp.lt @t2 @t132))))))))) % 234.90/235.19 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t131)))) % 234.90/235.19 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 234.90/235.19 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t131)))) % 234.90/235.19 (assume @p74 (tptp.equalelemsP tptp.nil)) % 234.90/235.19 (assume @p75 (forall @t9 (=> @t17 (=> @t72 (exists @t7 (and @t6 (= @t70 @t1))))))) % 234.90/235.19 (assume @p76 (forall @t9 (=> @t17 (=> @t72 (exists @t7 (and @t30 (= @t76 @t1))))))) % 234.90/235.19 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> (and @t134 @t72 (= @t132 @t70) (= (tptp.tl @t1) @t76)) @t60)))))) % 234.90/235.19 (assume @p78 @t141) % 234.90/235.19 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (= @t35 @t82) @t142)))))))) % 234.90/235.19 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (=> (= @t25 @t83) @t142)))))))) % 234.90/235.19 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 234.90/235.19 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (forall @t16 (=> @t15 (= (tptp.app @t82 @t12) (tptp.app @t2 @t25))))))))) % 234.90/235.19 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (= (= tptp.nil @t82) @t143)))))) % 234.90/235.19 (assume @p84 @t146) % 234.90/235.19 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> @t72 (= (tptp.hd @t82) @t70))))))) % 234.90/235.19 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t30 (=> @t72 (= (tptp.tl @t82) (tptp.app @t76 @t1)))))))) % 234.90/235.19 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t95 (tptp.geq @t1 @t2)) @t3)))))) % 234.90/235.19 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t95 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 234.90/235.19 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 234.90/235.19 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 234.90/235.19 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t94 @t48) @t98)))))))) % 234.90/235.19 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t94 (or @t3 @t97))))))) % 234.90/235.19 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t97 (and @t4 @t94))))))) % 234.90/235.19 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t99 (not (tptp.gt @t1 @t2)))))))) % 234.90/235.19 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t47 (=> (and @t99 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 234.90/235.19 (assume @p96 @t171) % 234.90/235.19 (assume @p97 true) % 234.90/235.19 (step @p98 :rule bool-impl-elim :args (@t17 @t172)) % 234.90/235.19 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t172)))) % 234.90/235.19 (step @p100 :rule eq-symm :args (@t144 @t2)) % 234.90/235.19 (step @p101 :rule refl :args (@t17)) % 234.90/235.19 (step @p102 :rule cong :premises (@p101 @p100) :args (@t145)) % 234.90/235.19 (step @p103 :rule cong :premises (@p102) :args (@t146)) % 234.90/235.19 (step @p104 :rule trans :premises (@p103 @p99)) % 234.90/235.19 (step @p105 :rule eq_resolve :premises (@p84 @p104)) % 234.90/235.19 (step @p106 :rule instantiate :premises (@p105) :args (@t191)) % 234.90/235.19 (step @p107 :rule refl :args (@t178)) % 234.90/235.19 (step @p108 :rule refl :args (@t179)) % 234.90/235.19 (step @p109 :rule refl :args (@t180)) % 234.90/235.19 (step @p110 :rule eq-symm :args (@t175 tptp.nil)) % 234.90/235.19 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t192)) % 234.90/235.19 (step @p112 :rule refl :args (@t184)) % 234.90/235.19 (step @p113 :rule refl :args (@t185)) % 234.90/235.19 (step @p114 :rule refl :args (@t186)) % 234.90/235.19 (step @p115 :rule refl :args (@t187)) % 234.90/235.19 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112 @p111 @p108 @p107) :args (@t193)) % 234.90/235.19 (step @p117 :rule aci_norm :args ((= @t195 @t193))) % 234.90/235.19 (step @p118 :rule trans :premises (@p117 @p116)) % 234.90/235.19 (step @p119 :rule cong :premises (@p118) :args (@t196)) % 234.90/235.19 (step @p120 :rule quant-merge-prenex :args ((= (forall @t9 @t198) @t196))) % 234.90/235.19 (step @p121 :rule alpha_equiv :args (@t199 (@list @t175) @t200)) % 234.90/235.19 (step @p122 :rule refl :args (@t186)) % 234.90/235.19 (step @p123 :rule refl :args (@t187)) % 234.90/235.19 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121) :args (@t201)) % 234.90/235.19 (step @p125 :rule quant-miniscope-or :args ((= @t198 @t201))) % 234.90/235.19 (step @p126 :rule trans :premises (@p125 @p124)) % 234.90/235.19 (step @p127 :rule symm :premises (@p126)) % 234.90/235.19 (step @p128 :rule cong :premises (@p127) :args ((forall @t9 @t211))) % 234.90/235.19 (step @p129 :rule trans :premises (@p128 @p120)) % 234.90/235.19 (step @p130 :rule trans :premises (@p129 @p119)) % 234.90/235.19 (step @p131 :rule aci_norm :args ((= (or @t187 @t211) @t211))) % 234.90/235.19 (step @p132 :rule bool-impl-elim :args (@t17 @t211)) % 234.90/235.19 (step @p133 :rule trans :premises (@p132 @p131)) % 234.90/235.19 (step @p134 :rule cong :premises (@p133) :args ((forall @t9 (=> @t17 @t211)))) % 234.90/235.19 (step @p135 :rule trans :premises (@p134 @p130)) % 234.90/235.19 (step @p136 :rule quant-miniscope-or :args ((= (forall @t7 @t212) @t211))) % 234.90/235.19 (step @p137 :rule aci_norm :args ((= @t213 @t212))) % 234.90/235.19 (step @p138 :rule cong :premises (@p137) :args ((forall @t7 @t213))) % 234.90/235.19 (step @p139 :rule trans :premises (@p138 @p136)) % 234.90/235.19 (step @p140 :rule aci_norm :args ((= (or @t209 @t214) @t213))) % 234.90/235.19 (step @p141 :rule bool-impl-elim :args (@t30 @t214)) % 234.90/235.19 (step @p142 :rule trans :premises (@p141 @p140)) % 234.90/235.19 (step @p143 :rule cong :premises (@p142) :args ((forall @t7 (=> @t30 @t214)))) % 234.90/235.19 (step @p144 :rule trans :premises (@p143 @p139)) % 234.90/235.19 (step @p145 :rule aci_norm :args ((= (or @t208 @t205 @t209 @t215) @t214))) % 234.90/235.19 (step @p146 :rule aci_norm :args ((= (or @t187 false @t186 @t204 @t203) @t215))) % 234.90/235.19 (step @p147 :rule refl :args (@t203)) % 234.90/235.19 (step @p148 :rule refl :args (@t204)) % 234.90/235.19 (step @p149 :rule evaluate :args ((not true))) % 234.90/235.19 (step @p150 :rule eq-refl :args (@t2)) % 234.90/235.19 (step @p151 :rule cong :premises (@p150) :args (@t216)) % 234.90/235.19 (step @p152 :rule trans :premises (@p151 @p149)) % 234.90/235.19 (step @p153 :rule nary_cong :premises (@p115 @p152 @p114 @p148 @p147) :args (@t217)) % 234.90/235.19 (step @p154 :rule trans :premises (@p153 @p146)) % 234.90/235.19 (step @p155 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t142) @t222 @t160 @t158 @t221 @t220)) @t217))) % 234.90/235.19 (step @p156 :rule refl :args (@t220)) % 234.90/235.19 (step @p157 :rule refl :args (@t221)) % 234.90/235.19 (step @p158 :rule refl :args (@t158)) % 234.90/235.19 (step @p159 :rule refl :args (@t160)) % 234.90/235.19 (step @p160 :rule refl :args (@t222)) % 234.90/235.19 (step @p161 :rule eq-symm :args (@t2 @t12)) % 234.90/235.19 (step @p162 :rule cong :premises (@p161) :args (@t160)) % 234.90/235.19 (step @p163 :rule nary_cong :premises (@p162 @p160 @p159 @p158 @p157 @p156) :args (@t223)) % 234.90/235.19 (step @p164 :rule aci_norm :args ((= @t224 @t223))) % 234.90/235.19 (step @p165 :rule trans :premises (@p164 @p163)) % 234.90/235.19 (step @p166 :rule cong :premises (@p165) :args (@t225)) % 234.90/235.19 (step @p167 :rule trans :premises (@p166 @p155)) % 234.90/235.19 (step @p168 :rule trans :premises (@p167 @p154)) % 234.90/235.19 (step @p169 :rule refl :args (@t209)) % 234.90/235.19 (step @p170 :rule refl :args (@t205)) % 234.90/235.19 (step @p171 :rule refl :args (@t208)) % 234.90/235.19 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169 @p168) :args (@t226)) % 234.90/235.19 (step @p173 :rule trans :premises (@p172 @p145)) % 234.90/235.19 (step @p174 :rule quant-miniscope-or :args ((= (forall @t16 @t227) @t226))) % 234.90/235.19 (step @p175 :rule aci_norm :args ((= @t228 @t227))) % 234.90/235.19 (step @p176 :rule cong :premises (@p175) :args ((forall @t16 @t228))) % 234.90/235.19 (step @p177 :rule trans :premises (@p176 @p174)) % 234.90/235.19 (step @p178 :rule trans :premises (@p177 @p173)) % 234.90/235.19 (step @p179 :rule aci_norm :args ((= (or @t222 @t229) @t228))) % 234.90/235.19 (step @p180 :rule bool-impl-elim :args (@t15 @t229)) % 234.90/235.19 (step @p181 :rule trans :premises (@p180 @p179)) % 234.90/235.19 (step @p182 :rule cong :premises (@p181) :args ((forall @t16 (=> @t15 @t229)))) % 234.90/235.19 (step @p183 :rule trans :premises (@p182 @p178)) % 234.90/235.19 (step @p184 :rule aci_norm :args ((= (or @t160 @t158 @t208 @t205 @t230) @t229))) % 234.90/235.19 (step @p185 :rule aci_norm :args ((= (or @t209 false @t221 @t220) @t230))) % 234.90/235.19 (step @p186 :rule refl :args (@t220)) % 234.90/235.19 (step @p187 :rule refl :args (@t221)) % 234.90/235.19 (step @p188 :rule eq-refl :args (@t1)) % 234.90/235.19 (step @p189 :rule cong :premises (@p188) :args (@t231)) % 234.90/235.19 (step @p190 :rule trans :premises (@p189 @p149)) % 234.90/235.19 (step @p191 :rule nary_cong :premises (@p169 @p190 @p187 @p186) :args (@t232)) % 234.90/235.19 (step @p192 :rule trans :premises (@p191 @p185)) % 234.90/235.19 (step @p193 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t236 @t161 @t159 @t235)) @t232))) % 234.90/235.19 (step @p194 :rule refl :args (@t235)) % 234.90/235.19 (step @p195 :rule refl :args (@t159)) % 234.90/235.19 (step @p196 :rule refl :args (@t161)) % 234.90/235.19 (step @p197 :rule refl :args (@t236)) % 234.90/235.19 (step @p198 :rule eq-symm :args (@t1 @t10)) % 234.90/235.19 (step @p199 :rule cong :premises (@p198) :args (@t161)) % 234.90/235.19 (step @p200 :rule nary_cong :premises (@p199 @p197 @p196 @p195 @p194) :args (@t237)) % 234.90/235.19 (step @p201 :rule aci_norm :args ((= @t238 @t237))) % 234.90/235.19 (step @p202 :rule trans :premises (@p201 @p200)) % 234.90/235.19 (step @p203 :rule cong :premises (@p202) :args (@t239)) % 234.90/235.19 (step @p204 :rule trans :premises (@p203 @p193)) % 234.90/235.19 (step @p205 :rule trans :premises (@p204 @p192)) % 234.90/235.19 (step @p206 :rule refl :args (@t158)) % 234.90/235.19 (step @p207 :rule refl :args (@t160)) % 234.90/235.19 (step @p208 :rule nary_cong :premises (@p207 @p206 @p171 @p170 @p205) :args (@t240)) % 234.90/235.19 (step @p209 :rule trans :premises (@p208 @p184)) % 234.90/235.19 (step @p210 :rule quant-miniscope-or :args ((= (forall @t14 @t241) @t240))) % 234.90/235.19 (step @p211 :rule aci_norm :args ((= @t242 @t241))) % 234.90/235.19 (step @p212 :rule cong :premises (@p211) :args ((forall @t14 @t242))) % 234.90/235.19 (step @p213 :rule trans :premises (@p212 @p210)) % 234.90/235.19 (step @p214 :rule trans :premises (@p213 @p209)) % 234.90/235.19 (step @p215 :rule aci_norm :args ((= (or @t236 @t243) @t242))) % 234.90/235.19 (step @p216 :rule bool-impl-elim :args (@t13 @t243)) % 234.90/235.19 (step @p217 :rule trans :premises (@p216 @p215)) % 234.90/235.19 (step @p218 :rule cong :premises (@p217) :args ((forall @t14 (=> @t13 @t243)))) % 234.90/235.19 (step @p219 :rule trans :premises (@p218 @p214)) % 234.90/235.19 (step @p220 :rule eq-symm :args (tptp.nil @t2)) % 234.90/235.19 (step @p221 :rule eq-symm :args (tptp.nil @t1)) % 234.90/235.19 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t143)) % 234.90/235.19 (step @p223 :rule aci_norm :args ((= (or @t177 (or @t219 (or @t233 (or @t218 @t173)))) @t234))) % 234.90/235.19 (step @p224 :rule bool-and-de-morgan :args (@t148 @t147 true)) % 234.90/235.19 (step @p225 :rule refl :args (@t233)) % 234.90/235.19 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t233 (not (and @t148 @t147))))) % 234.90/235.19 (step @p227 :rule bool-and-de-morgan :args (@t149 @t148 (and @t147))) % 234.90/235.19 (step @p228 :rule trans :premises (@p227 @p226)) % 234.90/235.19 (step @p229 :rule refl :args (@t219)) % 234.90/235.19 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t219 (not (and @t149 @t148 @t147))))) % 234.90/235.19 (step @p231 :rule bool-and-de-morgan :args (@t150 @t149 (and @t148 @t147))) % 234.90/235.19 (step @p232 :rule trans :premises (@p231 @p230)) % 234.90/235.19 (step @p233 :rule refl :args (@t177)) % 234.90/235.19 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t177 (not (and @t150 @t149 @t148 @t147))))) % 234.90/235.19 (step @p235 :rule bool-and-de-morgan :args (@t43 @t150 (and @t149 @t148 @t147))) % 234.90/235.19 (step @p236 :rule trans :premises (@p235 @p234)) % 234.90/235.19 (step @p237 :rule trans :premises (@p236 @p223)) % 234.90/235.19 (step @p238 :rule cong :premises (@p237) :args (@t244)) % 234.90/235.19 (step @p239 :rule cong :premises (@p238) :args (@t245)) % 234.90/235.19 (step @p240 :rule exists-elim :args ((= @t152 @t245))) % 234.90/235.19 (step @p241 :rule trans :premises (@p240 @p239)) % 234.90/235.19 (step @p242 :rule aci_norm :args ((= (or @t183 (or @t182 (or @t206 @t181))) @t207))) % 234.90/235.19 (step @p243 :rule bool-and-de-morgan :args (@t154 @t153 true)) % 234.90/235.19 (step @p244 :rule refl :args (@t182)) % 234.90/235.19 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or @t182 (not (and @t154 @t153))))) % 234.90/235.19 (step @p246 :rule bool-and-de-morgan :args (@t155 @t154 (and @t153))) % 234.90/235.19 (step @p247 :rule trans :premises (@p246 @p245)) % 234.90/235.19 (step @p248 :rule refl :args (@t183)) % 234.90/235.19 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or @t183 (not (and @t155 @t154 @t153))))) % 234.90/235.19 (step @p250 :rule bool-and-de-morgan :args (@t45 @t155 (and @t154 @t153))) % 234.90/235.19 (step @p251 :rule trans :premises (@p250 @p249)) % 234.90/235.19 (step @p252 :rule trans 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(@p945) :args (@t24)) % 234.90/235.19 (step @p947 :rule trans :premises (@p946 @p933)) % 234.90/235.19 (step @p948 :rule eq_resolve :premises (@p4 @p947)) % 234.90/235.19 (step @p949 :rule eq-symm :args (@t190 @t18)) % 234.90/235.19 (step @p950 :rule cong :premises (@p949) :args (@t606)) % 234.90/235.19 (step @p951 :rule refl :args (@t471)) % 234.90/235.19 (step @p952 :rule nary_cong :premises (@p951 @p950) :args (@t607)) % 234.90/235.19 (step @p953 :rule cong :premises (@p952) :args (@t608)) % 234.90/235.19 (step @p954 :rule cong :premises (@p953) :args (@t609)) % 234.90/235.19 (step @p955 :rule refl :args (@t610)) % 234.90/235.19 (step @p956 :rule cong :premises (@p955 @p954) :args (@t611)) % 234.90/235.19 (step @p957 :rule nary_cong :premises (@p288 @p956) :args (@t612)) % 234.90/235.19 (step @p958 :rule refl :args (@t613)) % 234.90/235.19 (step @p959 :rule cong :premises (@p958 @p957) :args ((=> @t613 @t612))) % 234.90/235.19 (assume-push @p1143 @t613) % 234.90/235.19 (step @p961 :rule instantiate :premises (@p948) :args (@t191)) % 234.90/235.19 (step-pop @p1144 :rule scope :premises (@p961)) % 234.90/235.19 (step @p962 :rule process_scope :premises (@p1144) :args (@t612)) % 234.90/235.19 (step @p964 :rule eq_resolve :premises (@p962 @p959)) % 234.90/235.19 (step @p965 :rule implies_elim :premises (@p964)) % 234.90/235.19 (step @p966 :rule chain_m_resolution :premises (@p965 @p948) :args (@t617 @t298 (@list @t613))) % 234.90/235.19 (step @p967 :rule cnf_or_pos :args (@t617)) % 234.90/235.19 (step @p968 :rule reordering :premises (@p967) :args ((or @t262 @t616 (not @t617)))) % 234.90/235.19 (step @p969 :rule chain_m_resolution :premises (@p968 @p307 @p966) :args (@t616 @t275 (@list @t261 @t617))) % 234.90/235.19 (step @p970 :rule refl :args (@t618)) % 234.90/235.19 (step @p971 :rule refl :args (@t290)) % 234.90/235.19 (step @p972 :rule bool-double-not-elim :args (@t101)) % 234.90/235.19 (step @p973 :rule nary_cong :premises (@p972 @p971 @p970) :args ((or (not @t102) @t290 @t618))) % 234.90/235.19 (assume-push @p1145 @t610) % 234.90/235.19 (assume-push @p1146 @t253) % 234.90/235.19 (assume-push @p1147 @t102) % 234.90/235.19 (step @p977 :rule evaluate :args (@t619)) % 234.90/235.19 (step @p978 :rule true_intro :premises (@p1145)) % 234.90/235.19 (step @p979 :rule cong :premises (@p541) :args (@t101)) % 234.90/235.19 (step @p980 :rule false_intro :premises (@p39)) % 234.90/235.19 (step @p981 :rule symm :premises (@p980)) % 234.90/235.19 (step @p982 :rule trans :premises (@p981 @p979 @p978)) % 234.90/235.19 (step @p983 false :rule eq_resolve :premises (@p982 @p977)) % 234.90/235.19 (step-pop @p1148 :rule scope :premises (@p983)) % 234.90/235.19 (step-pop @p1149 :rule scope :premises (@p1148)) % 234.90/235.19 (step-pop @p1150 :rule scope :premises (@p1149)) % 234.90/235.19 (step @p984 :rule process_scope :premises (@p1150) :args (false)) % 234.90/235.19 (assume-push @p1151 @t102) % 234.90/235.19 (assume-push @p1152 @t253) % 234.90/235.19 (assume-push @p1153 @t610) % 234.90/235.19 (step @p991 :rule and_intro :premises (@p1153 @p541 @p39)) % 234.90/235.19 (step-pop @p1154 :rule scope :premises (@p991)) % 234.90/235.19 (step-pop @p1155 :rule scope :premises (@p1154)) % 234.90/235.19 (step-pop @p1156 :rule scope :premises (@p1155)) % 234.90/235.19 (step @p992 :rule process_scope :premises (@p1156) :args (@t620)) % 234.90/235.19 (step @p996 :rule implies_elim :premises (@p992)) % 234.90/235.19 (step @p997 :rule resolution :premises (@p996 @p984) :args (true @t620)) % 234.90/235.19 (step @p998 :rule not_and :premises (@p997)) % 234.90/235.19 (step @p999 :rule eq_resolve :premises (@p998 @p973)) % 234.90/235.19 (step @p1000 :rule chain_m_resolution :premises (@p999 @p39 @p541) :args (@t618 @t402 (@list @t101 @t253))) % 234.90/235.19 (step @p1001 :rule bool-double-not-elim :args (@t614)) % 234.90/235.19 (step @p1002 :rule refl :args (@t621)) % 234.90/235.19 (step @p1003 :rule nary_cong :premises (@p1002 @p955 @p1001) :args ((or @t621 @t610 (not @t615)))) % 234.90/235.19 (step @p1004 :rule cnf_equiv_pos2 :args (@t616)) % 234.90/235.19 (step @p1005 :rule eq_resolve :premises (@p1004 @p1003)) % 234.90/235.19 (step @p1006 :rule reordering :premises (@p1005) :args ((or @t610 @t614 @t621))) % 234.90/235.19 (step @p1007 :rule chain_m_resolution :premises (@p1006 @p1000 @p969) :args (@t614 @t402 (@list @t610 @t616))) % 234.90/235.19 (step @p1008 :rule eq-symm :args (@t448 @t190)) % 234.90/235.19 (step @p1009 :rule cong :premises (@p1008) :args (@t622)) % 234.90/235.19 (step @p1010 :rule nary_cong :premises (@p695 @p1009) :args (@t623)) % 234.90/235.19 (step @p1011 :rule refl :args (@t614)) % 234.90/235.19 (step @p1012 :rule cong :premises (@p1011 @p1010) :args ((=> @t614 @t623))) % 234.90/235.19 (assume-push @p1157 @t614) % 234.90/235.19 (step @p1014 :rule instantiate :premises (@p1157) :args (@t624)) % 234.90/235.19 (step-pop @p1158 :rule scope :premises (@p1014)) % 234.90/235.19 (step @p1015 :rule process_scope :premises (@p1158) :args (@t623)) % 234.90/235.19 (step @p1017 :rule eq_resolve :premises (@p1015 @p1012)) % 234.90/235.19 (step @p1018 :rule implies_elim :premises (@p1017)) % 234.90/235.19 (step @p1019 :rule chain_m_resolution :premises (@p1018 @p1007) :args (@t625 @t298 (@list @t614))) % 234.90/235.19 (step @p1020 :rule cnf_or_pos :args (@t625)) % 234.90/235.19 (step @p1021 :rule reordering :premises (@p1020) :args ((or @t446 @t583 (not @t625)))) % 234.90/235.19 (step @p1022 :rule chain_m_resolution :premises (@p1021 @p616 @p1019) :args (@t583 @t275 (@list @t436 @t625))) % 234.90/235.19 (step @p1023 :rule refl :args (@t581)) % 234.90/235.19 (step @p1024 :rule bool-double-not-elim :args (@t582)) % 234.90/235.19 (step @p1025 :rule refl :args (@t626)) % 234.90/235.19 (step @p1026 :rule nary_cong :premises (@p1025 @p1024 @p1023) :args ((or @t626 (not @t583) @t581))) % 234.90/235.19 (step @p1027 :rule cnf_equiv_pos1 :args (@t587)) % 234.90/235.19 (step @p1028 :rule eq_resolve :premises (@p1027 @p1026)) % 234.90/235.19 (step @p1029 :rule reordering :premises (@p1028) :args ((or @t582 @t581 @t626))) % 234.90/235.19 (step @p1030 :rule chain_m_resolution :premises (@p1029 @p1022 @p931) :args (@t581 @t402 (@list @t582 @t587))) % 234.90/235.19 (step @p1031 :rule bool-impl-elim :args (@t8 @t136)) % 234.90/235.19 (step @p1032 :rule cong :premises (@p1031) :args (@t137)) % 234.90/235.19 (step @p1033 :rule eq_resolve :premises (@p68 @p1032)) % 234.90/235.19 (step @p1034 :rule instantiate :premises (@p1033) :args (@t624)) % 234.90/235.19 (step @p1035 :rule cnf_or_pos :args (@t628)) % 234.90/235.19 (step @p1036 :rule reordering :premises (@p1035) :args ((or @t446 @t627 (not @t628)))) % 234.90/235.19 (step @p1037 :rule chain_m_resolution :premises (@p1036 @p616 @p1034) :args (@t627 @t275 (@list @t436 @t628))) % 234.90/235.19 (step @p1038 :rule cnf_or_pos :args (@t634)) % 234.90/235.19 (step @p1039 :rule reordering :premises (@p1038) :args ((or @t629 @t585 @t633 @t632 @t631 (not @t634)))) % 234.90/235.19 (step @p1040 :rule chain_m_resolution :premises (@p1039 @p1037 @p928 @p1030 @p893 @p626) :args (@t631 @t392 (@list @t627 @t584 @t581 @t580 @t634))) % 234.90/235.19 (step @p1041 :rule instantiate :premises (@p433) :args ((@list tptp.nil @t190 @t448 tptp.nil))) % 234.90/235.19 (step @p1042 :rule bool-impl-elim :args (@t17 @t635)) % 234.90/235.19 (step @p1043 :rule cong :premises (@p1042) :args ((forall @t9 (=> @t17 @t635)))) % 234.90/235.19 (step @p1044 :rule eq-symm :args (@t180 @t128)) % 234.90/235.19 (step @p1045 :rule refl :args (@t128)) % 234.90/235.19 (step @p1046 :rule cong :premises (@p220 @p1045) :args ((= @t66 @t128))) % 234.90/235.19 (step @p1047 :rule trans :premises (@p1046 @p1044)) % 234.90/235.19 (step @p1048 :rule eq-symm :args (@t128 @t66)) % 234.90/235.19 (step @p1049 :rule trans :premises (@p1048 @p1047)) % 234.90/235.19 (step @p1050 :rule cong :premises (@p101 @p1049) :args (@t129)) % 234.90/235.19 (step @p1051 :rule cong :premises (@p1050) :args (@t130)) % 234.90/235.19 (step @p1052 :rule trans :premises (@p1051 @p1043)) % 234.90/235.19 (step @p1053 :rule eq_resolve :premises (@p58 @p1052)) % 234.90/235.19 (step @p1054 :rule refl :args (@t636)) % 234.90/235.19 (step @p1055 :rule cong :premises (@p282 @p1054) :args ((= @t266 @t636))) % 234.90/235.19 (step @p1056 :rule eq-symm :args (@t636 @t266)) % 234.90/235.19 (step @p1057 :rule trans :premises (@p1056 @p1055)) % 234.90/235.19 (step @p1058 :rule nary_cong :premises (@p288 @p1057) :args (@t637)) % 234.90/235.19 (step @p1059 :rule refl :args (@t638)) % 234.90/235.19 (step @p1060 :rule cong :premises (@p1059 @p1058) :args ((=> @t638 @t637))) % 234.90/235.19 (assume-push @p1159 @t638) % 234.90/235.19 (step @p1062 :rule instantiate :premises (@p1053) :args (@t191)) % 234.90/235.19 (step-pop @p1160 :rule scope :premises (@p1062)) % 234.90/235.19 (step @p1063 :rule process_scope :premises (@p1160) :args (@t637)) % 234.90/235.19 (step @p1065 :rule eq_resolve :premises (@p1063 @p1060)) % 234.90/235.19 (step @p1066 :rule implies_elim :premises (@p1065)) % 234.90/235.19 (step @p1067 :rule chain_m_resolution :premises (@p1066 @p1053) :args (@t640 @t298 (@list @t638))) % 234.90/235.19 (step @p1068 :rule cnf_or_pos :args (@t640)) % 234.90/235.19 (step @p1069 :rule reordering :premises (@p1068) :args ((or @t262 @t639 (not @t640)))) % 234.90/235.19 (step @p1070 :rule chain_m_resolution :premises (@p1069 @p307 @p1067) :args (@t639 @t275 (@list @t261 @t640))) % 234.90/235.19 (step @p1071 :rule cnf_equiv_pos1 :args (@t639)) % 234.90/235.19 (step @p1072 :rule reordering :premises (@p1071) :args ((or @t290 @t636 (not @t639)))) % 234.90/235.19 (step @p1073 :rule chain_m_resolution :premises (@p1072 @p541 @p1070) :args (@t636 @t275 (@list @t253 @t639))) % 234.90/235.19 (step @p1074 :rule cnf_or_pos :args (@t644)) % 234.90/235.19 (step @p1075 :rule factoring :premises (@p1074)) % 234.90/235.19 (step @p1076 :rule reordering :premises (@p1075) :args ((or @t293 @t262 @t643 @t585 @t642 (not @t644)))) % 234.90/235.19 (step @p1077 :rule chain_m_resolution :premises (@p1076 @p17 @p307 @p1073 @p928 @p1041) :args (@t642 @t392 (@list @t59 @t261 @t636 @t584 @t644))) % 234.90/235.19 (step @p1078 :rule refl :args (@t645)) % 234.90/235.19 (step @p1079 :rule bool-double-not-elim :args (@t630)) % 234.90/235.19 (step @p1080 :rule refl :args (@t646)) % 234.90/235.19 (step @p1081 :rule refl :args (@t647)) % 234.90/235.19 (step @p1082 :rule nary_cong :premises (@p971 @p1081 @p1080 @p1079 @p1078) :args ((or @t290 @t647 @t646 (not @t631) @t645))) % 234.90/235.19 (assume-push @p1161 @t642) % 234.90/235.19 (assume-push @p1162 @t253) % 234.90/235.19 (assume-push @p1163 @t445) % 234.90/235.19 (assume-push @p1164 @t273) % 234.90/235.19 (assume-push @p1165 @t631) % 234.90/235.19 (step @p977 :rule evaluate :args (@t619)) % 234.90/235.19 (step @p1088 :rule true_intro :premises (@p1077)) % 234.90/235.19 (step @p1089 :rule symm :premises (@p541)) % 234.90/235.19 (step @p1090 :rule refl :args (@t431)) % 234.90/235.19 (step @p1091 :rule cong :premises (@p1090 @p1089) :args (@t443)) % 234.90/235.19 (step @p1092 :rule cong :premises (@p1091 @p852) :args (@t444)) % 234.90/235.19 (step @p1093 :rule trans :premises (@p541 @p310)) % 234.90/235.19 (step @p1094 :rule cong :premises (@p1090 @p1093) :args (@t448)) % 234.90/235.19 (step @p1095 :rule trans :premises (@p1094 @p619 @p1092)) % 234.90/235.19 (step @p1096 :rule cong :premises (@p1095 @p852) :args (@t641)) % 234.90/235.19 (step @p1097 :rule trans :premises (@p1094 @p619 @p1092 @p1096)) % 234.90/235.19 (step @p1098 :rule cong :premises (@p1097 @p508) :args (@t630)) % 234.90/235.19 (step @p1099 :rule false_intro :premises (@p1165)) % 234.90/235.19 (step @p1100 :rule symm :premises (@p1099)) % 234.90/235.19 (step @p1101 :rule trans :premises (@p1100 @p1098 @p1088)) % 234.90/235.19 (step @p1102 false :rule eq_resolve :premises (@p1101 @p977)) % 234.90/235.19 (step-pop @p1166 :rule scope :premises (@p1102)) % 234.90/235.19 (step-pop @p1167 :rule scope :premises (@p1166)) % 234.90/235.19 (step-pop @p1168 :rule scope :premises (@p1167)) % 234.90/235.19 (step-pop @p1169 :rule scope :premises (@p1168)) % 234.90/235.19 (step-pop @p1170 :rule scope :premises (@p1169)) % 234.90/235.19 (step @p1103 :rule process_scope :premises (@p1170) :args (false)) % 234.90/235.19 (assume-push @p1171 @t253) % 234.90/235.19 (assume-push @p1172 @t273) % 234.90/235.19 (assume-push @p1173 @t445) % 234.90/235.19 (assume-push @p1174 @t631) % 234.90/235.19 (assume-push @p1175 @t642) % 234.90/235.19 (step @p1114 :rule and_intro :premises (@p1077 @p541 @p619 @p310 @p1174)) % 234.90/235.19 (step-pop @p1176 :rule scope :premises (@p1114)) % 234.90/235.19 (step-pop @p1177 :rule scope :premises (@p1176)) % 234.90/235.19 (step-pop @p1178 :rule scope :premises (@p1177)) % 234.90/235.19 (step-pop @p1179 :rule scope :premises (@p1178)) % 234.90/235.19 (step-pop @p1180 :rule scope :premises (@p1179)) % 234.90/235.19 (step @p1115 :rule process_scope :premises (@p1180) :args (@t648)) % 234.90/235.19 (step @p1121 :rule implies_elim :premises (@p1115)) % 234.90/235.19 (step @p1122 :rule resolution :premises (@p1121 @p1103) :args (true @t648)) % 234.90/235.19 (step @p1123 :rule not_and :premises (@p1122)) % 234.90/235.19 (step @p1124 :rule eq_resolve :premises (@p1123 @p1082)) % 234.90/235.19 (step @p1125 :rule reordering :premises (@p1124) :args ((or @t290 @t647 @t630 @t646 @t645))) % 234.90/235.19 (step @p1126 false :rule chain_m_resolution :premises (@p1125 @p1077 @p1040 @p619 @p541 @p310) :args (false (@list false true false false false) (@list @t642 @t630 @t445 @t253 @t273))) % 234.90/235.19 ) % 234.90/235.19 % SZS output end Proof % 234.90/235.19 % cvc5 exiting %------------------------------------------------------------------------------