%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC046+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 : n023.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 08:57:50 AM UTC 2026 % Result : Theorem 34.06s 34.57s % Output : Proof 34.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC046+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n023.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:12:13 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.53 %----Proving TF0_NAR, FOF, or CNF % 34.06/34.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.06/34.57 --- Run --no-e-matching --full-saturate-quant at 6... % 34.06/34.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.06/34.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.06/34.57 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.06/34.57 % SZS status Theorem % 34.06/34.57 % SZS output start Proof % 34.06/34.57 ( % 34.06/34.57 (declare-sort $$unsorted 0) % 34.06/34.57 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.06/34.57 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.06/34.57 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.06/34.57 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.06/34.57 (declare-const tptp.nil $$unsorted) % 34.06/34.57 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.06/34.57 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.06/34.57 (define @t1 () (@var "V" $$unsorted)) % 34.06/34.57 (define @t2 () (@var "U" $$unsorted)) % 34.06/34.57 (define @t3 () (= @t2 @t1)) % 34.06/34.57 (define @t4 () (not @t3)) % 34.06/34.57 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 34.06/34.57 (define @t6 () (tptp.ssItem @t1)) % 34.06/34.57 (define @t7 () (@list @t1)) % 34.06/34.57 (define @t8 () (tptp.ssItem @t2)) % 34.06/34.57 (define @t9 () (@list @t2)) % 34.06/34.57 (define @t10 () (@var "X" $$unsorted)) % 34.06/34.57 (define @t11 () (tptp.cons @t1 @t10)) % 34.06/34.57 (define @t12 () (@var "W" $$unsorted)) % 34.06/34.57 (define @t13 () (tptp.ssList @t10)) % 34.06/34.57 (define @t14 () (@list @t10)) % 34.06/34.57 (define @t15 () (tptp.ssList @t12)) % 34.06/34.57 (define @t16 () (@list @t12)) % 34.06/34.57 (define @t17 () (tptp.ssList @t2)) % 34.06/34.57 (define @t18 () (tptp.cons @t1 tptp.nil)) % 34.06/34.57 (define @t19 () (tptp.app @t1 @t12)) % 34.06/34.57 (define @t20 () (tptp.frontsegP @t2 @t1)) % 34.06/34.57 (define @t21 () (tptp.ssList @t1)) % 34.06/34.57 (define @t22 () (tptp.app @t12 @t1)) % 34.06/34.57 (define @t23 () (tptp.rearsegP @t2 @t1)) % 34.06/34.57 (define @t24 () (tptp.segmentP @t2 @t1)) % 34.06/34.57 (define @t25 () (tptp.leq @t12 @t1)) % 34.06/34.57 (define @t26 () (tptp.leq @t1 @t12)) % 34.06/34.57 (define @t27 () (@var "Z" $$unsorted)) % 34.06/34.57 (define @t28 () (@var "Y" $$unsorted)) % 34.06/34.57 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 34.06/34.57 (define @t30 () (tptp.ssList @t27)) % 34.06/34.57 (define @t31 () (@list @t27)) % 34.06/34.57 (define @t32 () (tptp.ssList @t28)) % 34.06/34.57 (define @t33 () (@list @t28)) % 34.06/34.57 (define @t34 () (tptp.ssItem @t12)) % 34.06/34.57 (define @t35 () (tptp.lt @t1 @t12)) % 34.06/34.57 (define @t36 () (= @t1 @t12)) % 34.06/34.57 (define @t37 () (tptp.cons @t1 @t2)) % 34.06/34.57 (define @t38 () (tptp.ssList tptp.nil)) % 34.06/34.57 (define @t39 () (= @t1 @t2)) % 34.06/34.57 (define @t40 () (tptp.cons @t12 @t1)) % 34.06/34.57 (define @t41 () (and @t34 (= @t40 @t2))) % 34.06/34.57 (define @t42 () (exists @t16 @t41)) % 34.06/34.57 (define @t43 () (and @t21 @t42)) % 34.06/34.57 (define @t44 () (exists @t7 @t43)) % 34.06/34.57 (define @t45 () (= tptp.nil @t2)) % 34.06/34.57 (define @t46 () (or @t45 @t44)) % 34.06/34.57 (define @t47 () (=> @t17 @t46)) % 34.06/34.57 (define @t48 () (forall @t9 @t47)) % 34.06/34.57 (define @t49 () (tptp.hd @t2)) % 34.06/34.57 (define @t50 () (tptp.ssItem @t49)) % 34.06/34.57 (define @t51 () (not @t45)) % 34.06/34.57 (define @t52 () (=> @t51 @t50)) % 34.06/34.57 (define @t53 () (=> @t17 @t52)) % 34.06/34.57 (define @t54 () (forall @t9 @t53)) % 34.06/34.57 (define @t55 () (tptp.tl @t2)) % 34.06/34.57 (define @t56 () (tptp.tl @t37)) % 34.06/34.57 (define @t57 () (=> @t6 (= @t56 @t2))) % 34.06/34.57 (define @t58 () (forall @t7 @t57)) % 34.06/34.57 (define @t59 () (=> @t17 @t58)) % 34.06/34.57 (define @t60 () (forall @t9 @t59)) % 34.06/34.57 (define @t61 () (tptp.app @t2 @t1)) % 34.06/34.57 (define @t62 () (tptp.app @t1 @t2)) % 34.06/34.57 (define @t63 () (tptp.leq @t1 @t2)) % 34.06/34.57 (define @t64 () (tptp.leq @t2 @t1)) % 34.06/34.57 (define @t65 () (tptp.geq @t2 @t1)) % 34.06/34.57 (define @t66 () (tptp.lt @t1 @t2)) % 34.06/34.57 (define @t67 () (tptp.lt @t2 @t1)) % 34.06/34.57 (define @t68 () (tptp.lt @t2 @t12)) % 34.06/34.57 (define @t69 () (tptp.gt @t2 @t1)) % 34.06/34.57 (define @t70 () (tptp.memberP @t12 @t2)) % 34.06/34.57 (define @t71 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t70))) % 34.06/34.57 (define @t72 () (forall @t16 (=> @t15 @t71))) % 34.06/34.57 (define @t73 () (=> @t6 @t72)) % 34.06/34.57 (define @t74 () (forall @t7 @t73)) % 34.06/34.57 (define @t75 () (=> @t8 @t74)) % 34.06/34.57 (define @t76 () (forall @t9 @t75)) % 34.06/34.57 (define @t77 () (not (tptp.memberP tptp.nil @t2))) % 34.06/34.57 (define @t78 () (forall @t9 (=> @t8 @t77))) % 34.06/34.57 (define @t79 () (tptp.app @t12 @t2)) % 34.06/34.57 (define @t80 () (tptp.cons @t2 tptp.nil)) % 34.06/34.57 (define @t81 () (tptp.hd @t1)) % 34.06/34.57 (define @t82 () (= tptp.nil @t1)) % 34.06/34.57 (define @t83 () (not @t82)) % 34.06/34.57 (define @t84 () (tptp.cons @t2 @t1)) % 34.06/34.57 (define @t85 () (tptp.cons @t49 @t55)) % 34.06/34.57 (define @t86 () (=> @t51 (= @t85 @t2))) % 34.06/34.57 (define @t87 () (=> @t17 @t86)) % 34.06/34.57 (define @t88 () (forall @t9 @t87)) % 34.06/34.57 (define @t89 () (= @t12 @t2)) % 34.06/34.57 (define @t90 () (tptp.cons @t28 tptp.nil)) % 34.06/34.57 (define @t91 () (tptp.app (tptp.app @t90 @t27) @t90)) % 34.06/34.57 (define @t92 () (tptp.segmentP @t10 @t91)) % 34.06/34.57 (define @t93 () (and @t30 @t92)) % 34.06/34.57 (define @t94 () (exists @t31 @t93)) % 34.06/34.57 (define @t95 () (tptp.memberP @t10 @t28)) % 34.06/34.57 (define @t96 () (not @t95)) % 34.06/34.57 (define @t97 () (or @t96 @t94)) % 34.06/34.57 (define @t98 () (tptp.memberP @t12 @t28)) % 34.06/34.57 (define @t99 () (and @t98 @t97)) % 34.06/34.57 (define @t100 () (not @t92)) % 34.06/34.57 (define @t101 () (forall @t31 (=> @t30 @t100))) % 34.06/34.57 (define @t102 () (not @t98)) % 34.06/34.57 (define @t103 () (and @t102 @t101 @t95)) % 34.06/34.57 (define @t104 () (or @t103 @t99)) % 34.06/34.57 (define @t105 () (tptp.ssItem @t28)) % 34.06/34.57 (define @t106 () (and @t105 @t104)) % 34.06/34.57 (define @t107 () (exists @t33 @t106)) % 34.06/34.57 (define @t108 () (not (= @t2 @t12))) % 34.06/34.57 (define @t109 () (not (= @t1 @t10))) % 34.06/34.57 (define @t110 () (or @t83 @t109 @t108 @t45 @t107)) % 34.06/34.57 (define @t111 () (=> @t13 @t110)) % 34.06/34.57 (define @t112 () (forall @t14 @t111)) % 34.06/34.57 (define @t113 () (=> @t15 @t112)) % 34.06/34.57 (define @t114 () (forall @t16 @t113)) % 34.06/34.57 (define @t115 () (=> @t21 @t114)) % 34.06/34.57 (define @t116 () (forall @t7 @t115)) % 34.06/34.57 (define @t117 () (=> @t17 @t116)) % 34.06/34.57 (define @t118 () (forall @t9 @t117)) % 34.06/34.57 (define @t119 () (not @t118)) % 34.06/34.57 (define @t120 () (@var "BOUND_VARIABLE_9706" $$unsorted)) % 34.06/34.57 (define @t121 () (@var "BOUND_VARIABLE_9704" $$unsorted)) % 34.06/34.57 (define @t122 () (= (tptp.memberP (tptp.cons @t121 @t120) @t2) (or (= @t2 @t121) (tptp.memberP @t120 @t2)))) % 34.06/34.57 (define @t123 () (not (tptp.ssList @t120))) % 34.06/34.57 (define @t124 () (not (tptp.ssItem @t121))) % 34.06/34.57 (define @t125 () (not @t8)) % 34.06/34.57 (define @t126 () (or @t125 @t124 @t123 @t122)) % 34.06/34.57 (define @t127 () (or @t124 @t123 @t122)) % 34.06/34.57 (define @t128 () (or @t125 @t127)) % 34.06/34.57 (define @t129 () (@list @t2 @t121 @t120)) % 34.06/34.57 (define @t130 () (forall @t129 @t128)) % 34.06/34.57 (define @t131 () (@list @t121 @t120)) % 34.06/34.57 (define @t132 () (forall @t131 @t128)) % 34.06/34.57 (define @t133 () (forall @t131 @t127)) % 34.06/34.57 (define @t134 () (@var "BOUND_VARIABLE_9685" $$unsorted)) % 34.06/34.57 (define @t135 () (or @t125 @t133)) % 34.06/34.57 (define @t136 () (= (tptp.memberP (tptp.cons @t1 @t134) @t2) (or @t3 (tptp.memberP @t134 @t2)))) % 34.06/34.57 (define @t137 () (not (tptp.ssList @t134))) % 34.06/34.57 (define @t138 () (not @t6)) % 34.06/34.57 (define @t139 () (or @t138 @t137 @t136)) % 34.06/34.57 (define @t140 () (@list @t1 @t134)) % 34.06/34.57 (define @t141 () (forall @t140 @t139)) % 34.06/34.57 (define @t142 () (or @t137 @t136)) % 34.06/34.57 (define @t143 () (or @t138 @t142)) % 34.06/34.57 (define @t144 () (forall @t140 @t143)) % 34.06/34.57 (define @t145 () (@list @t134)) % 34.06/34.57 (define @t146 () (forall @t145 @t143)) % 34.06/34.57 (define @t147 () (forall @t145 @t142)) % 34.06/34.57 (define @t148 () (@list @t12)) % 34.06/34.57 (define @t149 () (or @t138 @t147)) % 34.06/34.57 (define @t150 () (not @t15)) % 34.06/34.57 (define @t151 () (forall @t16 (or @t150 @t71))) % 34.06/34.57 (define @t152 () (@var "BOUND_VARIABLE_10956" $$unsorted)) % 34.06/34.57 (define @t153 () (tptp.app (tptp.app @t90 @t152) @t90)) % 34.06/34.57 (define @t154 () (not (tptp.ssList @t152))) % 34.06/34.57 (define @t155 () (tptp.memberP tptp.nil @t28)) % 34.06/34.57 (define @t156 () (and @t155 (or @t154 (not (tptp.segmentP tptp.nil @t153))))) % 34.06/34.57 (define @t157 () (tptp.memberP @t2 @t28)) % 34.06/34.57 (define @t158 () (not @t157)) % 34.06/34.57 (define @t159 () (not @t155)) % 34.06/34.57 (define @t160 () (not @t30)) % 34.06/34.57 (define @t161 () (not (forall @t31 (or @t160 (not (tptp.segmentP tptp.nil @t91)))))) % 34.06/34.57 (define @t162 () (not @t105)) % 34.06/34.57 (define @t163 () (@list @t28 @t152)) % 34.06/34.57 (define @t164 () (not (forall @t163 (or @t162 (and (or @t157 @t161 @t159) (or @t158 @t156)))))) % 34.06/34.57 (define @t165 () (= @t2 tptp.nil)) % 34.06/34.57 (define @t166 () (not @t17)) % 34.06/34.57 (define @t167 () (or @t166 @t165 @t164)) % 34.06/34.57 (define @t168 () (forall @t9 @t167)) % 34.06/34.57 (define @t169 () (@quantifiers_skolemize @t168 0)) % 34.06/34.57 (define @t170 () (tptp.hd @t169)) % 34.06/34.57 (define @t171 () (@var "BOUND_VARIABLE_9265" $$unsorted)) % 34.06/34.57 (define @t172 () (tptp.cons @t171 @t1)) % 34.06/34.57 (define @t173 () (not (tptp.ssItem @t171))) % 34.06/34.57 (define @t174 () (not @t21)) % 34.06/34.57 (define @t175 () (@list @t1 @t171)) % 34.06/34.57 (define @t176 () (forall @t175 (or @t174 @t173 (not (= @t172 @t169))))) % 34.06/34.57 (define @t177 () (@quantifiers_skolemize @t176 0)) % 34.06/34.57 (define @t178 () (tptp.memberP (tptp.cons @t170 @t177) @t170)) % 34.06/34.57 (define @t179 () (tptp.memberP @t177 @t170)) % 34.06/34.57 (define @t180 () (or (= @t170 @t170) @t179)) % 34.06/34.57 (define @t181 () (= @t178 @t180)) % 34.06/34.57 (define @t182 () (tptp.ssList @t177)) % 34.06/34.57 (define @t183 () (not @t182)) % 34.06/34.57 (define @t184 () (tptp.ssItem @t170)) % 34.06/34.57 (define @t185 () (not @t184)) % 34.06/34.57 (define @t186 () (or @t185 @t185 @t183 @t181)) % 34.06/34.57 (define @t187 () (forall @t129 @t126)) % 34.06/34.57 (define @t188 () (or @t185 @t185 @t183 @t178)) % 34.06/34.57 (define @t189 () (@list false)) % 34.06/34.57 (define @t190 () (not (= @t2 @t172))) % 34.06/34.57 (define @t191 () (or @t174 @t173 @t190)) % 34.06/34.57 (define @t192 () (not (forall @t175 @t191))) % 34.06/34.57 (define @t193 () (or @t166 @t165 @t192)) % 34.06/34.57 (define @t194 () (or @t165 @t192)) % 34.06/34.57 (define @t195 () (or @t173 @t190)) % 34.06/34.57 (define @t196 () (or @t174 @t195)) % 34.06/34.57 (define @t197 () (forall @t175 @t196)) % 34.06/34.57 (define @t198 () (@list @t171)) % 34.06/34.57 (define @t199 () (forall @t198 @t196)) % 34.06/34.57 (define @t200 () (forall @t198 @t195)) % 34.06/34.57 (define @t201 () (or @t174 @t200)) % 34.06/34.57 (define @t202 () (= @t2 @t40)) % 34.06/34.57 (define @t203 () (forall @t16 (or (not @t34) (not @t202)))) % 34.06/34.57 (define @t204 () (not @t203)) % 34.06/34.57 (define @t205 () (and @t21 @t204)) % 34.06/34.57 (define @t206 () (forall @t7 (not @t205))) % 34.06/34.57 (define @t207 () (not @t206)) % 34.06/34.57 (define @t208 () (and @t34 @t202)) % 34.06/34.57 (define @t209 () (forall @t16 (not @t208))) % 34.06/34.57 (define @t210 () (not @t209)) % 34.06/34.57 (define @t211 () (not (= @t169 @t172))) % 34.06/34.57 (define @t212 () (or @t174 @t173 @t211)) % 34.06/34.57 (define @t213 () (forall @t175 @t212)) % 34.06/34.57 (define @t214 () (not @t213)) % 34.06/34.57 (define @t215 () (tptp.ssList @t169)) % 34.06/34.57 (define @t216 () (not @t215)) % 34.06/34.57 (define @t217 () (= @t169 tptp.nil)) % 34.06/34.57 (define @t218 () (or @t216 @t217 @t214)) % 34.06/34.57 (define @t219 () (forall @t9 @t193)) % 34.06/34.57 (define @t220 () (@list @t169)) % 34.06/34.57 (define @t221 () (not @t176)) % 34.06/34.57 (define @t222 () (= tptp.nil @t169)) % 34.06/34.57 (define @t223 () (or @t216 @t222 @t221)) % 34.06/34.57 (define @t224 () (not @t38)) % 34.06/34.57 (define @t225 () (or @t224 @t167)) % 34.06/34.57 (define @t226 () (or @t166 @t165 @t224 @t164)) % 34.06/34.57 (define @t227 () (or @t165 @t166 @t224 @t164)) % 34.06/34.57 (define @t228 () (or @t224 @t164)) % 34.06/34.57 (define @t229 () (not (= tptp.nil tptp.nil))) % 34.06/34.57 (define @t230 () (or @t224 @t229 @t164)) % 34.06/34.57 (define @t231 () (tptp.memberP @t1 @t28)) % 34.06/34.57 (define @t232 () (and @t231 (or @t154 (not (tptp.segmentP @t1 @t153))))) % 34.06/34.57 (define @t233 () (not @t231)) % 34.06/34.57 (define @t234 () (not (forall @t31 (or @t160 (not (tptp.segmentP @t1 @t91)))))) % 34.06/34.57 (define @t235 () (not (forall @t163 (or @t162 (and (or @t157 @t234 @t233) (or @t158 @t232)))))) % 34.06/34.57 (define @t236 () (not (= @t1 tptp.nil))) % 34.06/34.57 (define @t237 () (or @t236 @t174 @t236 @t235)) % 34.06/34.57 (define @t238 () (or @t174 @t236 @t235)) % 34.06/34.57 (define @t239 () (forall @t7 @t238)) % 34.06/34.57 (define @t240 () (or @t165 @t166 @t239)) % 34.06/34.57 (define @t241 () (or @t165 @t166 @t238)) % 34.06/34.57 (define @t242 () (or @t174 @t236 @t165 @t166 @t235)) % 34.06/34.57 (define @t243 () (or @t236 @t165 @t174 @t166 @t235)) % 34.06/34.57 (define @t244 () (or @t166 @t235)) % 34.06/34.57 (define @t245 () (not (= @t2 @t2))) % 34.06/34.57 (define @t246 () (or @t166 @t245 @t235)) % 34.06/34.57 (define @t247 () (not (forall @t163 (or @t162 (and (or @t98 @t234 @t233) (or @t102 @t232)))))) % 34.06/34.57 (define @t248 () (or @t108 @t150 @t108 @t247)) % 34.06/34.57 (define @t249 () (or @t150 @t108 @t247)) % 34.06/34.57 (define @t250 () (forall @t16 @t249)) % 34.06/34.57 (define @t251 () (or @t236 @t165 @t174 @t250)) % 34.06/34.57 (define @t252 () (or @t236 @t165 @t174 @t249)) % 34.06/34.57 (define @t253 () (or @t150 @t236 @t108 @t165 @t174 @t247)) % 34.06/34.57 (define @t254 () (or @t236 @t108 @t165 @t174 @t247)) % 34.06/34.57 (define @t255 () (or @t174 @t247)) % 34.06/34.57 (define @t256 () (not (= @t1 @t1))) % 34.06/34.57 (define @t257 () (or @t174 @t256 @t247)) % 34.06/34.57 (define @t258 () (or @t154 (not (tptp.segmentP @t10 @t153)))) % 34.06/34.57 (define @t259 () (and @t95 @t258)) % 34.06/34.57 (define @t260 () (or @t102 @t259)) % 34.06/34.57 (define @t261 () (forall @t31 (or @t160 @t100))) % 34.06/34.57 (define @t262 () (not @t261)) % 34.06/34.57 (define @t263 () (or @t98 @t262 @t96)) % 34.06/34.57 (define @t264 () (and @t263 @t260)) % 34.06/34.57 (define @t265 () (or @t162 @t264)) % 34.06/34.57 (define @t266 () (forall @t163 @t265)) % 34.06/34.57 (define @t267 () (not @t266)) % 34.06/34.57 (define @t268 () (not @t13)) % 34.06/34.57 (define @t269 () (or @t109 @t268 @t109 @t267)) % 34.06/34.57 (define @t270 () (or @t268 @t109 @t267)) % 34.06/34.57 (define @t271 () (forall @t14 @t270)) % 34.06/34.57 (define @t272 () (or @t236 @t108 @t165 @t271)) % 34.06/34.57 (define @t273 () (or @t236 @t108 @t165 @t270)) % 34.06/34.57 (define @t274 () (or @t268 @t236 @t109 @t108 @t165 @t267)) % 34.06/34.57 (define @t275 () (or @t236 @t109 @t108 @t165 @t267)) % 34.06/34.57 (define @t276 () (@list @t152)) % 34.06/34.57 (define @t277 () (forall @t276 @t265)) % 34.06/34.57 (define @t278 () (forall @t276 @t258)) % 34.06/34.57 (define @t279 () (forall @t276 @t95)) % 34.06/34.57 (define @t280 () (and @t279 @t278)) % 34.06/34.57 (define @t281 () (forall @t276 @t259)) % 34.06/34.57 (define @t282 () (or @t102 @t281)) % 34.06/34.57 (define @t283 () (forall @t276 @t260)) % 34.06/34.57 (define @t284 () (forall @t276 @t263)) % 34.06/34.57 (define @t285 () (and @t284 @t283)) % 34.06/34.57 (define @t286 () (forall @t276 @t264)) % 34.06/34.57 (define @t287 () (or @t162 @t286)) % 34.06/34.57 (define @t288 () (or @t96 @t262)) % 34.06/34.57 (define @t289 () (not @t102)) % 34.06/34.57 (define @t290 () (or @t289 @t262 @t96)) % 34.06/34.57 (define @t291 () (and @t98 @t288)) % 34.06/34.57 (define @t292 () (and @t102 @t261 @t95)) % 34.06/34.57 (define @t293 () (or @t292 @t291)) % 34.06/34.57 (define @t294 () (and @t105 @t293)) % 34.06/34.57 (define @t295 () (forall @t33 (not @t294))) % 34.06/34.57 (define @t296 () (not @t295)) % 34.06/34.57 (define @t297 () (forall @t31 (not @t93))) % 34.06/34.57 (define @t298 () (not @t297)) % 34.06/34.57 (define @t299 () (tptp.memberP @t169 @t28)) % 34.06/34.57 (define @t300 () (forall @t163 (or @t162 (and (or @t299 @t161 @t159) (or (not @t299) @t156))))) % 34.06/34.57 (define @t301 () (not @t300)) % 34.06/34.57 (define @t302 () (or @t216 @t222 @t301)) % 34.06/34.57 (define @t303 () (not @t302)) % 34.06/34.57 (define @t304 () (not @t168)) % 34.06/34.57 (define @t305 () (or @t216 @t217 @t301)) % 34.06/34.57 (define @t306 () (not @t305)) % 34.06/34.57 (define @t307 () (@list true)) % 34.06/34.57 (define @t308 () (@list @t302)) % 34.06/34.57 (define @t309 () (@list false true false)) % 34.06/34.57 (define @t310 () (@quantifiers_skolemize @t176 1)) % 34.06/34.57 (define @t311 () (tptp.cons @t310 @t177)) % 34.06/34.57 (define @t312 () (= @t169 @t311)) % 34.06/34.57 (define @t313 () (not @t312)) % 34.06/34.57 (define @t314 () (tptp.ssItem @t310)) % 34.06/34.57 (define @t315 () (not @t314)) % 34.06/34.57 (define @t316 () (or @t183 @t315 @t313)) % 34.06/34.57 (define @t317 () (not @t316)) % 34.06/34.57 (define @t318 () (not (= @t311 @t169))) % 34.06/34.57 (define @t319 () (or @t183 @t315 @t318)) % 34.06/34.57 (define @t320 () (not @t319)) % 34.06/34.57 (define @t321 () (@list @t316)) % 34.06/34.57 (define @t322 () (or @t166 @t165 @t50)) % 34.06/34.57 (define @t323 () (not @t165)) % 34.06/34.57 (define @t324 () (not @t323)) % 34.06/34.57 (define @t325 () (=> @t323 @t50)) % 34.06/34.57 (define @t326 () (or @t216 @t217 @t184)) % 34.06/34.57 (define @t327 () (forall @t9 @t322)) % 34.06/34.57 (define @t328 () (or @t216 @t222 @t184)) % 34.06/34.57 (define @t329 () (@list false false false)) % 34.06/34.57 (define @t330 () (@var "BOUND_VARIABLE_9352" $$unsorted)) % 34.06/34.57 (define @t331 () (= @t2 (tptp.tl (tptp.cons @t330 @t2)))) % 34.06/34.57 (define @t332 () (not (tptp.ssItem @t330))) % 34.06/34.57 (define @t333 () (or @t332 @t331)) % 34.06/34.57 (define @t334 () (or @t166 @t333)) % 34.06/34.57 (define @t335 () (forall (@list @t2 @t330) @t334)) % 34.06/34.57 (define @t336 () (@list @t330)) % 34.06/34.57 (define @t337 () (forall @t336 @t334)) % 34.06/34.57 (define @t338 () (forall @t336 @t333)) % 34.06/34.57 (define @t339 () (or @t166 @t338)) % 34.06/34.57 (define @t340 () (= @t2 @t56)) % 34.06/34.57 (define @t341 () (forall @t7 (or @t138 @t340))) % 34.06/34.57 (define @t342 () (= @t177 (tptp.tl @t311))) % 34.06/34.57 (define @t343 () (or @t183 @t315 @t342)) % 34.06/34.57 (define @t344 () (tptp.tl @t169)) % 34.06/34.57 (define @t345 () (tptp.cons @t170 @t344)) % 34.06/34.57 (define @t346 () (= @t2 @t85)) % 34.06/34.57 (define @t347 () (or @t166 @t165 @t346)) % 34.06/34.57 (define @t348 () (=> @t323 @t346)) % 34.06/34.57 (define @t349 () (= @t169 @t345)) % 34.06/34.57 (define @t350 () (or @t216 @t217 @t349)) % 34.06/34.57 (define @t351 () (forall @t9 @t347)) % 34.06/34.57 (define @t352 () (or @t216 @t222 @t349)) % 34.06/34.57 (define @t353 () (tptp.memberP @t169 @t170)) % 34.06/34.57 (define @t354 () (tptp.cons @t170 tptp.nil)) % 34.06/34.57 (define @t355 () (tptp.memberP tptp.nil @t170)) % 34.06/34.57 (define @t356 () (and @t355 (or @t216 (not (tptp.segmentP tptp.nil (tptp.app (tptp.app @t354 @t169) @t354)))))) % 34.06/34.57 (define @t357 () (not @t353)) % 34.06/34.57 (define @t358 () (or @t357 @t356)) % 34.06/34.57 (define @t359 () (not @t355)) % 34.06/34.57 (define @t360 () (and (or @t353 (not (forall @t31 (or @t160 (not (tptp.segmentP tptp.nil (tptp.app (tptp.app @t354 @t27) @t354)))))) @t359) @t358)) % 34.06/34.57 (define @t361 () (or @t185 @t360)) % 34.06/34.57 (define @t362 () (@list false false)) % 34.06/34.57 (define @t363 () (or @t185 @t359)) % 34.06/34.57 (define @t364 () (not @t356)) % 34.06/34.57 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 34.06/34.57 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 34.06/34.57 (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))))))))))) % 34.06/34.57 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 34.06/34.57 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 34.06/34.57 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 34.06/34.57 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 34.06/34.57 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 34.06/34.57 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 34.06/34.57 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 34.06/34.57 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 34.06/34.57 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 34.06/34.57 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 34.06/34.57 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 34.06/34.57 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 34.06/34.57 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 34.06/34.57 (assume @p17 @t38) % 34.06/34.57 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 34.06/34.57 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t39))))))))))) % 34.06/34.57 (assume @p20 @t48) % 34.06/34.57 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 34.06/34.57 (assume @p22 @t54) % 34.06/34.57 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 34.06/34.57 (assume @p24 (forall @t9 (=> @t17 (=> @t51 (tptp.ssList @t55))))) % 34.06/34.57 (assume @p25 @t60) % 34.06/34.57 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t61)))))) % 34.06/34.57 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t62) (tptp.app @t40 @t2))))))))) % 34.06/34.57 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 34.06/34.57 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t64 @t63) @t3)))))) % 34.06/34.57 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t64 @t26) (tptp.leq @t2 @t12))))))))) % 34.06/34.57 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 34.06/34.57 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 @t63)))))) % 34.06/34.57 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (not @t66))))))) % 34.06/34.57 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t35) @t68)))))))) % 34.06/34.57 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t69 @t66)))))) % 34.06/34.57 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t70))))))))) % 34.06/34.57 (assume @p37 @t76) % 34.06/34.57 (assume @p38 @t78) % 34.06/34.57 (assume @p39 (not (tptp.singletonP tptp.nil))) % 34.06/34.57 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 34.06/34.57 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 34.06/34.57 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 34.06/34.57 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 34.06/34.57 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 34.06/34.57 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 34.06/34.57 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 34.06/34.57 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 34.06/34.57 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 34.06/34.57 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 34.06/34.57 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t79 @t1))))))))) % 34.06/34.57 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 34.06/34.57 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 34.06/34.57 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 34.06/34.57 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 34.06/34.57 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 34.06/34.57 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t79 @t10) @t1))))))))))) % 34.06/34.57 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 34.06/34.57 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 34.06/34.57 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t80)))) % 34.06/34.57 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 34.06/34.57 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t80)))) % 34.06/34.57 (assume @p62 (tptp.totalorderP tptp.nil)) % 34.06/34.57 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t80)))) % 34.06/34.57 (assume @p64 (tptp.strictorderP tptp.nil)) % 34.06/34.57 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t80)))) % 34.06/34.57 (assume @p66 (tptp.totalorderedP tptp.nil)) % 34.06/34.57 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t84) (or @t82 (and @t83 (tptp.totalorderedP @t1) (tptp.leq @t2 @t81))))))))) % 34.06/34.57 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t80)))) % 34.06/34.57 (assume @p69 (tptp.strictorderedP tptp.nil)) % 34.06/34.57 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t84) (or @t82 (and @t83 (tptp.strictorderedP @t1) (tptp.lt @t2 @t81))))))))) % 34.06/34.57 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t80)))) % 34.06/34.57 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 34.06/34.57 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t80)))) % 34.06/34.57 (assume @p74 (tptp.equalelemsP tptp.nil)) % 34.06/34.57 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 34.06/34.57 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1))))))) % 34.06/34.57 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t83 @t51 (= @t81 @t49) (= (tptp.tl @t1) @t55)) @t39)))))) % 34.06/34.57 (assume @p78 @t88) % 34.06/34.57 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t61) @t89)))))))) % 34.06/34.57 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t62) @t89)))))))) % 34.06/34.57 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 34.06/34.57 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t61 @t12) (tptp.app @t2 @t19))))))))) % 34.06/34.57 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t61) (and @t82 @t45))))))) % 34.06/34.57 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 34.06/34.57 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t61) @t49))))))) % 34.06/34.57 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t61) (tptp.app @t55 @t1)))))))) % 34.06/34.57 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t65 (tptp.geq @t1 @t2)) @t3)))))) % 34.06/34.57 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t65 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 34.06/34.57 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 34.06/34.57 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 34.06/34.57 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t64 @t35) @t68)))))))) % 34.06/34.57 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (or @t3 @t67))))))) % 34.06/34.57 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 (and @t4 @t64))))))) % 34.06/34.57 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t69 (not (tptp.gt @t1 @t2)))))))) % 34.06/34.57 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t69 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 34.06/34.57 (assume @p96 @t119) % 34.06/34.57 (assume @p97 true) % 34.06/34.57 (step @p98 :rule evaluate :args ((= false true))) % 34.06/34.57 (step @p99 :rule aci_norm :args ((= @t128 @t126))) % 34.06/34.57 (step @p100 :rule cong :premises (@p99) :args (@t130)) % 34.06/34.57 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t132) @t130))) % 34.06/34.57 (step @p102 :rule alpha_equiv :args (@t133 (@list @t121 @t120) (@list @t1 @t134))) % 34.06/34.57 (step @p103 :rule refl :args (@t125)) % 34.06/34.57 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t135)) % 34.06/34.57 (step @p105 :rule quant-miniscope-or :args ((= @t132 @t135))) % 34.06/34.57 (step @p106 :rule trans :premises (@p105 @p104)) % 34.06/34.57 (step @p107 :rule symm :premises (@p106)) % 34.06/34.57 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (or @t125 @t141)))) % 34.06/34.57 (step @p109 :rule trans :premises (@p108 @p101)) % 34.06/34.57 (step @p110 :rule trans :premises (@p109 @p100)) % 34.06/34.57 (step @p111 :rule bool-impl-elim :args (@t8 @t141)) % 34.06/34.57 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 (=> @t8 @t141)))) % 34.06/34.57 (step @p113 :rule trans :premises (@p112 @p110)) % 34.06/34.57 (step @p114 :rule aci_norm :args ((= @t143 @t139))) % 34.06/34.57 (step @p115 :rule cong :premises (@p114) :args (@t144)) % 34.06/34.57 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t146) @t144))) % 34.06/34.57 (step @p117 :rule alpha_equiv :args (@t147 (@list @t134) @t148)) % 34.06/34.57 (step @p118 :rule refl :args (@t138)) % 34.06/34.57 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t149)) % 34.06/34.57 (step @p120 :rule quant-miniscope-or :args ((= @t146 @t149))) % 34.06/34.57 (step @p121 :rule trans :premises (@p120 @p119)) % 34.06/34.57 (step @p122 :rule symm :premises (@p121)) % 34.06/34.57 (step @p123 :rule cong :premises (@p122) :args ((forall @t7 (or @t138 @t151)))) % 34.06/34.57 (step @p124 :rule trans :premises (@p123 @p116)) % 34.06/34.57 (step @p125 :rule trans :premises (@p124 @p115)) % 34.06/34.57 (step @p126 :rule bool-impl-elim :args (@t6 @t151)) % 34.06/34.57 (step @p127 :rule cong :premises (@p126) :args ((forall @t7 (=> @t6 @t151)))) % 34.06/34.57 (step @p128 :rule trans :premises (@p127 @p125)) % 34.06/34.57 (step @p129 :rule bool-impl-elim :args (@t15 @t71)) % 34.06/34.57 (step @p130 :rule cong :premises (@p129) :args (@t72)) % 34.06/34.57 (step @p131 :rule refl :args (@t6)) % 34.06/34.57 (step @p132 :rule cong :premises (@p131 @p130) :args (@t73)) % 34.06/34.57 (step @p133 :rule cong :premises (@p132) :args (@t74)) % 34.06/34.57 (step @p134 :rule trans :premises (@p133 @p128)) % 34.06/34.57 (step @p135 :rule refl :args (@t8)) % 34.06/34.57 (step @p136 :rule cong :premises (@p135 @p134) :args (@t75)) % 34.06/34.57 (step @p137 :rule cong :premises (@p136) :args (@t76)) % 34.06/34.57 (step @p138 :rule trans :premises (@p137 @p113)) % 34.06/34.57 (step @p139 :rule eq_resolve :premises (@p37 @p138)) % 34.06/34.57 (step @p140 :rule bool-eq-true :args (@t178)) % 34.06/34.57 (step @p141 :rule absorb :args ((= (or true @t179) true))) % 34.06/34.57 (step @p142 :rule refl :args (@t179)) % 34.06/34.57 (step @p143 :rule eq-refl :args (@t170)) % 34.06/34.57 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t180)) % 34.06/34.57 (step @p145 :rule trans :premises (@p144 @p141)) % 34.06/34.57 (step @p146 :rule refl :args (@t178)) % 34.06/34.57 (step @p147 :rule cong :premises (@p146 @p145) :args (@t181)) % 34.06/34.57 (step @p148 :rule trans :premises (@p147 @p140)) % 34.06/34.57 (step @p149 :rule refl :args (@t183)) % 34.06/34.57 (step @p150 :rule refl :args (@t185)) % 34.06/34.57 (step @p151 :rule nary_cong :premises (@p150 @p150 @p149 @p148) :args (@t186)) % 34.06/34.57 (step @p152 :rule refl :args (@t187)) % 34.06/34.57 (step @p153 :rule cong :premises (@p152 @p151) :args ((=> @t187 @t186))) % 34.06/34.57 (assume-push @p620 @t187) % 34.06/34.57 (step @p155 :rule instantiate :premises (@p139) :args ((@list @t170 @t170 @t177))) % 34.06/34.57 (step-pop @p621 :rule scope :premises (@p155)) % 34.06/34.57 (step @p156 :rule process_scope :premises (@p621) :args (@t186)) % 34.06/34.57 (step @p158 :rule eq_resolve :premises (@p156 @p153)) % 34.06/34.57 (step @p159 :rule implies_elim :premises (@p158)) % 34.06/34.57 (step @p160 :rule chain_m_resolution :premises (@p159 @p139) :args (@t188 @t189 (@list @t187))) % 34.06/34.57 (step @p161 :rule aci_norm :args ((= (or @t166 @t194) @t193))) % 34.06/34.57 (step @p162 :rule bool-impl-elim :args (@t17 @t194)) % 34.06/34.57 (step @p163 :rule trans :premises (@p162 @p161)) % 34.06/34.57 (step @p164 :rule cong :premises (@p163) :args ((forall @t9 (=> @t17 @t194)))) % 34.06/34.57 (step @p165 :rule aci_norm :args ((= @t196 @t191))) % 34.06/34.57 (step @p166 :rule cong :premises (@p165) :args (@t197)) % 34.06/34.57 (step @p167 :rule quant-merge-prenex :args ((= (forall @t7 @t199) @t197))) % 34.06/34.57 (step @p168 :rule alpha_equiv :args (@t200 (@list @t171) @t148)) % 34.06/34.57 (step @p169 :rule refl :args (@t174)) % 34.06/34.57 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t201)) % 34.06/34.57 (step @p171 :rule quant-miniscope-or :args ((= @t199 @t201))) % 34.06/34.57 (step @p172 :rule trans :premises (@p171 @p170)) % 34.06/34.57 (step @p173 :rule symm :premises (@p172)) % 34.06/34.57 (step @p174 :rule cong :premises (@p173) :args ((forall @t7 (or @t174 @t203)))) % 34.06/34.57 (step @p175 :rule trans :premises (@p174 @p167)) % 34.06/34.57 (step @p176 :rule trans :premises (@p175 @p166)) % 34.06/34.57 (step @p177 :rule bool-double-not-elim :args (@t203)) % 34.06/34.57 (step @p178 :rule nary_cong :premises (@p169 @p177) :args ((or @t174 (not @t204)))) % 34.06/34.57 (step @p179 :rule bool-and-de-morgan :args (@t21 @t204 true)) % 34.06/34.57 (step @p180 :rule trans :premises (@p179 @p178)) % 34.06/34.57 (step @p181 :rule cong :premises (@p180) :args (@t206)) % 34.06/34.57 (step @p182 :rule trans :premises (@p181 @p176)) % 34.06/34.57 (step @p183 :rule cong :premises (@p182) :args (@t207)) % 34.06/34.57 (step @p184 :rule exists-elim :args ((= (exists @t7 @t205) @t207))) % 34.06/34.57 (step @p185 :rule trans :premises (@p184 @p183)) % 34.06/34.57 (step @p186 :rule bool-and-de-morgan :args (@t34 @t202 true)) % 34.06/34.57 (step @p187 :rule cong :premises (@p186) :args (@t209)) % 34.06/34.57 (step @p188 :rule cong :premises (@p187) :args (@t210)) % 34.06/34.57 (step @p189 :rule exists-elim :args ((= (exists @t16 @t208) @t210))) % 34.06/34.57 (step @p190 :rule trans :premises (@p189 @p188)) % 34.06/34.57 (step @p191 :rule eq-symm :args (@t40 @t2)) % 34.06/34.57 (step @p192 :rule refl :args (@t34)) % 34.06/34.57 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t41)) % 34.06/34.57 (step @p194 :rule cong :premises (@p193) :args (@t42)) % 34.06/34.57 (step @p195 :rule trans :premises (@p194 @p190)) % 34.06/34.57 (step @p196 :rule refl :args (@t21)) % 34.06/34.57 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t43)) % 34.06/34.57 (step @p198 :rule cong :premises (@p197) :args (@t44)) % 34.06/34.57 (step @p199 :rule trans :premises (@p198 @p185)) % 34.06/34.57 (step @p200 :rule eq-symm :args (tptp.nil @t2)) % 34.06/34.57 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t46)) % 34.06/34.57 (step @p202 :rule refl :args (@t17)) % 34.06/34.57 (step @p203 :rule cong :premises (@p202 @p201) :args (@t47)) % 34.06/34.57 (step @p204 :rule cong :premises (@p203) :args (@t48)) % 34.06/34.57 (step @p205 :rule trans :premises (@p204 @p164)) % 34.06/34.57 (step @p206 :rule eq_resolve :premises (@p20 @p205)) % 34.06/34.57 (step @p207 :rule eq-symm :args (@t169 @t172)) % 34.06/34.57 (step @p208 :rule cong :premises (@p207) :args (@t211)) % 34.06/34.57 (step @p209 :rule refl :args (@t173)) % 34.06/34.57 (step @p210 :rule refl :args (@t174)) % 34.06/34.57 (step @p211 :rule nary_cong :premises (@p210 @p209 @p208) :args (@t212)) % 34.06/34.57 (step @p212 :rule cong :premises (@p211) :args (@t213)) % 34.06/34.57 (step @p213 :rule cong :premises (@p212) :args (@t214)) % 34.06/34.57 (step @p214 :rule eq-symm :args (@t169 tptp.nil)) % 34.06/34.57 (step @p215 :rule refl :args (@t216)) % 34.06/34.57 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213) :args (@t218)) % 34.06/34.57 (step @p217 :rule refl :args (@t219)) % 34.06/34.57 (step @p218 :rule cong :premises (@p217 @p216) :args ((=> @t219 @t218))) % 34.06/34.57 (assume-push @p622 @t219) % 34.06/34.57 (step @p220 :rule instantiate :premises (@p206) :args (@t220)) % 34.06/34.57 (step-pop @p623 :rule scope :premises (@p220)) % 34.06/34.57 (step @p221 :rule process_scope :premises (@p623) :args (@t218)) % 34.06/34.57 (step @p223 :rule eq_resolve :premises (@p221 @p218)) % 34.06/34.57 (step @p224 :rule implies_elim :premises (@p223)) % 34.06/34.57 (step @p225 :rule chain_m_resolution :premises (@p224 @p206) :args (@t223 @t189 (@list @t219))) % 34.06/34.57 (step @p226 :rule quant-miniscope-or :args ((= (forall @t9 @t225) (or @t224 @t168)))) % 34.06/34.57 (step @p227 :rule aci_norm :args ((= @t226 @t225))) % 34.06/34.57 (step @p228 :rule cong :premises (@p227) :args ((forall @t9 @t226))) % 34.06/34.57 (step @p229 :rule trans :premises (@p228 @p226)) % 34.06/34.57 (step @p230 :rule aci_norm :args ((= (or @t166 @t227) @t226))) % 34.06/34.57 (step @p231 :rule bool-impl-elim :args (@t17 @t227)) % 34.06/34.57 (step @p232 :rule trans :premises (@p231 @p230)) % 34.06/34.57 (step @p233 :rule cong :premises (@p232) :args ((forall @t9 (=> @t17 @t227)))) % 34.06/34.57 (step @p234 :rule trans :premises (@p233 @p229)) % 34.06/34.57 (step @p235 :rule aci_norm :args ((= (or @t165 @t166 @t228) @t227))) % 34.06/34.57 (step @p236 :rule aci_norm :args ((= (or @t224 false @t164) @t228))) % 34.06/34.57 (step @p237 :rule refl :args (@t164)) % 34.06/34.57 (step @p238 :rule evaluate :args ((not true))) % 34.06/34.57 (step @p239 :rule eq-refl :args (tptp.nil)) % 34.06/34.57 (step @p240 :rule cong :premises (@p239) :args (@t229)) % 34.06/34.57 (step @p241 :rule trans :premises (@p240 @p238)) % 34.06/34.57 (step @p242 :rule refl :args (@t224)) % 34.06/34.57 (step @p243 :rule nary_cong :premises (@p242 @p241 @p237) :args (@t230)) % 34.06/34.57 (step @p244 :rule trans :premises (@p243 @p236)) % 34.06/34.57 (step @p245 :rule quant-var-elim-eq :args ((= (forall @t7 @t237) @t230))) % 34.06/34.57 (step @p246 :rule aci_norm :args ((= @t238 @t237))) % 34.06/34.57 (step @p247 :rule cong :premises (@p246) :args (@t239)) % 34.06/34.57 (step @p248 :rule trans :premises (@p247 @p245)) % 34.06/34.57 (step @p249 :rule trans :premises (@p248 @p244)) % 34.06/34.57 (step @p250 :rule refl :args (@t166)) % 34.06/34.57 (step @p251 :rule refl :args (@t165)) % 34.06/34.57 (step @p252 :rule nary_cong :premises (@p251 @p250 @p249) :args (@t240)) % 34.06/34.57 (step @p253 :rule trans :premises (@p252 @p235)) % 34.06/34.57 (step @p254 :rule quant-miniscope-or :args ((= (forall @t7 @t241) @t240))) % 34.06/34.57 (step @p255 :rule aci_norm :args ((= @t242 @t241))) % 34.06/34.57 (step @p256 :rule cong :premises (@p255) :args ((forall @t7 @t242))) % 34.06/34.57 (step @p257 :rule trans :premises (@p256 @p254)) % 34.06/34.57 (step @p258 :rule trans :premises (@p257 @p253)) % 34.06/34.57 (step @p259 :rule aci_norm :args ((= (or @t174 @t243) @t242))) % 34.06/34.57 (step @p260 :rule bool-impl-elim :args (@t21 @t243)) % 34.06/34.57 (step @p261 :rule trans :premises (@p260 @p259)) % 34.06/34.57 (step @p262 :rule cong :premises (@p261) :args ((forall @t7 (=> @t21 @t243)))) % 34.06/34.57 (step @p263 :rule trans :premises (@p262 @p258)) % 34.06/34.57 (step @p264 :rule aci_norm :args ((= (or @t236 @t165 @t174 @t244) @t243))) % 34.06/34.57 (step @p265 :rule aci_norm :args ((= (or @t166 false @t235) @t244))) % 34.06/34.57 (step @p266 :rule refl :args (@t235)) % 34.06/34.57 (step @p267 :rule eq-refl :args (@t2)) % 34.06/34.57 (step @p268 :rule cong :premises (@p267) 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34.06/34.57 (step @p492 :rule trans :premises (@p491 @p486)) % 34.06/34.57 (step @p493 :rule eq_resolve :premises (@p22 @p492)) % 34.06/34.57 (step @p494 :rule refl :args (@t184)) % 34.06/34.57 (step @p495 :rule nary_cong :premises (@p215 @p214 @p494) :args (@t326)) % 34.06/34.57 (step @p496 :rule refl :args (@t327)) % 34.06/34.57 (step @p497 :rule cong :premises (@p496 @p495) :args ((=> @t327 @t326))) % 34.06/34.57 (assume-push @p628 @t327) % 34.06/34.57 (step @p499 :rule instantiate :premises (@p493) :args (@t220)) % 34.06/34.57 (step-pop @p629 :rule scope :premises (@p499)) % 34.06/34.57 (step @p500 :rule process_scope :premises (@p629) :args (@t326)) % 34.06/34.57 (step @p502 :rule eq_resolve :premises (@p500 @p497)) % 34.06/34.57 (step @p503 :rule implies_elim :premises (@p502)) % 34.06/34.57 (step @p504 :rule chain_m_resolution :premises (@p503 @p493) :args (@t328 @t189 (@list @t327))) % 34.06/34.57 (step @p505 :rule cnf_or_pos :args (@t328)) % 34.06/34.57 (step @p506 :rule reordering :premises (@p505) :args ((or @t216 @t222 @t184 (not @t328)))) % 34.06/34.57 (step @p507 :rule chain_m_resolution :premises (@p506 @p446 @p439 @p504) :args (@t184 @t309 (@list @t215 @t222 @t328))) % 34.06/34.57 (step @p508 :rule cnf_or_pos :args (@t188)) % 34.06/34.57 (step @p509 :rule factoring :premises (@p508)) % 34.06/34.57 (step @p510 :rule reordering :premises (@p509) :args ((or @t185 @t183 @t178 (not @t188)))) % 34.06/34.57 (step @p511 :rule chain_m_resolution :premises (@p510 @p507 @p474 @p160) :args (@t178 @t329 (@list @t184 @t182 @t188))) % 34.06/34.57 (step @p512 :rule true_intro :premises (@p511)) % 34.06/34.57 (step @p513 :rule refl :args (@t170)) % 34.06/34.57 (step @p514 :rule aci_norm :args ((= @t334 (or @t166 @t332 @t331)))) % 34.06/34.57 (step @p515 :rule cong :premises (@p514) :args (@t335)) % 34.06/34.57 (step @p516 :rule quant-merge-prenex :args ((= (forall @t9 @t337) @t335))) % 34.06/34.57 (step @p517 :rule alpha_equiv :args (@t338 (@list @t330) (@list @t1))) % 34.06/34.57 (step @p518 :rule nary_cong :premises (@p481 @p517) :args (@t339)) % 34.06/34.57 (step @p519 :rule quant-miniscope-or :args ((= @t337 @t339))) % 34.06/34.57 (step @p520 :rule trans :premises (@p519 @p518)) % 34.06/34.57 (step @p521 :rule symm :premises (@p520)) % 34.06/34.57 (step @p522 :rule cong :premises (@p521) :args ((forall @t9 (or @t166 @t341)))) % 34.06/34.57 (step @p523 :rule trans :premises (@p522 @p516)) % 34.06/34.57 (step @p524 :rule trans :premises (@p523 @p515)) % 34.06/34.57 (step @p525 :rule bool-impl-elim :args (@t17 @t341)) % 34.06/34.57 (step @p526 :rule cong :premises (@p525) :args ((forall @t9 (=> @t17 @t341)))) % 34.06/34.57 (step @p527 :rule trans :premises (@p526 @p524)) % 34.06/34.57 (step @p528 :rule bool-impl-elim :args (@t6 @t340)) % 34.06/34.57 (step @p529 :rule cong :premises (@p528) :args ((forall @t7 (=> @t6 @t340)))) % 34.06/34.57 (step @p530 :rule eq-symm :args (@t56 @t2)) % 34.06/34.57 (step @p531 :rule cong :premises (@p131 @p530) :args (@t57)) % 34.06/34.57 (step @p532 :rule cong :premises (@p531) :args (@t58)) % 34.06/34.57 (step @p533 :rule trans :premises (@p532 @p529)) % 34.06/34.57 (step @p534 :rule cong :premises (@p202 @p533) :args (@t59)) % 34.06/34.57 (step @p535 :rule cong :premises (@p534) :args (@t60)) % 34.06/34.57 (step @p536 :rule trans :premises (@p535 @p527)) % 34.06/34.57 (step @p537 :rule eq_resolve :premises (@p25 @p536)) % 34.06/34.57 (step @p538 :rule instantiate :premises (@p537) :args ((@list @t177 @t310))) % 34.06/34.57 (step @p539 :rule bool-double-not-elim :args (@t314)) % 34.06/34.57 (step @p540 :rule nary_cong :premises (@p469 @p539) :args ((or @t316 (not @t315)))) % 34.06/34.57 (step @p541 :rule cnf_or_neg :args (@t316 1)) % 34.06/34.57 (step @p542 :rule eq_resolve :premises (@p541 @p540)) % 34.06/34.57 (step @p543 :rule reordering :premises (@p542) :args ((or @t314 @t316))) % 34.06/34.57 (step @p544 :rule chain_m_resolution :premises (@p543 @p467) :args (@t314 @t307 @t321)) % 34.06/34.57 (step @p545 :rule cnf_or_pos :args (@t343)) % 34.06/34.57 (step @p546 :rule reordering :premises (@p545) :args ((or @t183 @t315 @t342 (not @t343)))) % 34.06/34.57 (step @p547 :rule chain_m_resolution :premises (@p546 @p474 @p544 @p538) :args (@t342 @t329 (@list @t182 @t314 @t343))) % 34.06/34.57 (step @p548 :rule symm :premises (@p547)) % 34.06/34.57 (step @p549 :rule bool-double-not-elim :args (@t312)) % 34.06/34.57 (step @p550 :rule nary_cong :premises (@p469 @p549) :args ((or @t316 (not @t313)))) % 34.06/34.57 (step @p551 :rule cnf_or_neg :args (@t316 2)) % 34.06/34.57 (step @p552 :rule eq_resolve :premises (@p551 @p550)) % 34.06/34.57 (step @p553 :rule reordering :premises (@p552) :args ((or @t312 @t316))) % 34.06/34.57 (step @p554 :rule chain_m_resolution :premises (@p553 @p467) :args (@t312 @t307 @t321)) % 34.06/34.57 (step @p555 :rule cong :premises (@p554) :args (@t344)) % 34.06/34.57 (step @p556 :rule trans :premises (@p555 @p548)) % 34.06/34.57 (step @p557 :rule cong :premises (@p513 @p556) :args (@t345)) % 34.06/34.57 (step @p558 :rule aci_norm :args ((= (or @t166 (or @t165 @t346)) @t347))) % 34.06/34.57 (step @p559 :rule refl :args (@t346)) % 34.06/34.57 (step @p560 :rule nary_cong :premises (@p477 @p559) :args ((or @t324 @t346))) % 34.06/34.57 (step @p561 :rule bool-impl-elim :args (@t323 @t346)) % 34.06/34.57 (step @p562 :rule trans :premises (@p561 @p560)) % 34.06/34.57 (step @p563 :rule nary_cong :premises (@p481 @p562) :args ((or @t166 @t348))) % 34.06/34.57 (step @p564 :rule trans :premises (@p563 @p558)) % 34.06/34.57 (step @p565 :rule bool-impl-elim :args (@t17 @t348)) % 34.06/34.57 (step @p566 :rule trans :premises (@p565 @p564)) % 34.06/34.57 (step @p567 :rule cong :premises (@p566) :args ((forall @t9 (=> @t17 @t348)))) % 34.06/34.57 (step @p568 :rule eq-symm :args (@t85 @t2)) % 34.06/34.57 (step @p569 :rule cong :premises (@p488 @p568) :args (@t86)) % 34.06/34.57 (step @p570 :rule cong :premises (@p202 @p569) :args (@t87)) % 34.06/34.57 (step @p571 :rule cong :premises (@p570) :args (@t88)) % 34.06/34.57 (step @p572 :rule trans :premises (@p571 @p567)) % 34.06/34.57 (step @p573 :rule eq_resolve :premises (@p78 @p572)) % 34.06/34.57 (step @p574 :rule refl :args (@t349)) % 34.06/34.57 (step @p575 :rule nary_cong :premises (@p215 @p214 @p574) :args (@t350)) % 34.06/34.57 (step @p576 :rule refl :args (@t351)) % 34.06/34.57 (step @p577 :rule cong :premises (@p576 @p575) :args ((=> @t351 @t350))) % 34.06/34.57 (assume-push @p630 @t351) % 34.06/34.57 (step @p579 :rule instantiate :premises (@p573) :args (@t220)) % 34.06/34.57 (step-pop @p631 :rule scope :premises (@p579)) % 34.06/34.57 (step @p580 :rule process_scope :premises (@p631) :args (@t350)) % 34.06/34.57 (step @p582 :rule eq_resolve :premises (@p580 @p577)) % 34.06/34.57 (step @p583 :rule implies_elim :premises (@p582)) % 34.06/34.57 (step @p584 :rule chain_m_resolution :premises (@p583 @p573) :args (@t352 @t189 (@list @t351))) % 34.06/34.57 (step @p585 :rule cnf_or_pos :args (@t352)) % 34.06/34.57 (step @p586 :rule reordering :premises (@p585) :args ((or @t216 @t222 @t349 (not @t352)))) % 34.06/34.57 (step @p587 :rule chain_m_resolution :premises (@p586 @p446 @p439 @p584) :args (@t349 @t309 (@list @t215 @t222 @t352))) % 34.06/34.57 (step @p588 :rule trans :premises (@p587 @p557)) % 34.06/34.57 (step @p589 :rule cong :premises (@p588 @p513) :args (@t353)) % 34.06/34.57 (step @p590 :rule bool-double-not-elim :args (@t300)) % 34.06/34.57 (step @p591 :rule nary_cong :premises (@p441 @p590) :args ((or @t302 (not @t301)))) % 34.06/34.57 (step @p592 :rule cnf_or_neg :args (@t302 2)) % 34.06/34.57 (step @p593 :rule eq_resolve :premises (@p592 @p591)) % 34.06/34.57 (step @p594 :rule reordering :premises (@p593) :args ((or @t300 @t302))) % 34.06/34.57 (step @p595 :rule chain_m_resolution :premises (@p594 @p437) :args (@t300 @t307 @t308)) % 34.06/34.57 (step @p596 :rule instantiate :premises (@p595) :args ((@list @t170 @t169))) % 34.06/34.57 (step @p597 :rule cnf_or_pos :args (@t361)) % 34.06/34.57 (step @p598 :rule reordering :premises (@p597) :args ((or @t185 @t360 (not @t361)))) % 34.06/34.57 (step @p599 :rule chain_m_resolution :premises (@p598 @p507 @p596) :args (@t360 @t362 (@list @t184 @t361))) % 34.06/34.57 (step @p600 :rule cnf_and_pos :args (@t360 1)) % 34.06/34.57 (step @p601 :rule reordering :premises (@p600) :args ((or @t358 (not @t360)))) % 34.06/34.57 (step @p602 :rule chain_m_resolution :premises (@p601 @p599) :args (@t358 @t189 (@list @t360))) % 34.06/34.57 (step @p603 :rule bool-impl-elim :args (@t8 @t77)) % 34.06/34.57 (step @p604 :rule cong :premises (@p603) :args (@t78)) % 34.06/34.57 (step @p605 :rule eq_resolve :premises (@p38 @p604)) % 34.06/34.57 (step @p606 :rule instantiate :premises (@p605) :args ((@list @t170))) % 34.06/34.57 (step @p607 :rule cnf_or_pos :args (@t363)) % 34.06/34.57 (step @p608 :rule reordering :premises (@p607) :args ((or @t185 @t359 (not @t363)))) % 34.06/34.57 (step @p609 :rule chain_m_resolution :premises (@p608 @p507 @p606) :args (@t359 @t362 (@list @t184 @t363))) % 34.06/34.57 (step @p610 :rule cnf_and_pos :args (@t356 0)) % 34.06/34.57 (step @p611 :rule reordering :premises (@p610) :args ((or @t355 @t364))) % 34.06/34.57 (step @p612 :rule chain_m_resolution :premises (@p611 @p609) :args (@t364 @t307 (@list @t355))) % 34.06/34.57 (step @p613 :rule cnf_or_pos :args (@t358)) % 34.06/34.57 (step @p614 :rule reordering :premises (@p613) :args ((or @t357 @t356 (not @t358)))) % 34.06/34.57 (step @p615 :rule chain_m_resolution :premises (@p614 @p612 @p602) :args (@t357 (@list true false) (@list @t356 @t358))) % 34.06/34.57 (step @p616 :rule false_intro :premises (@p615)) % 34.06/34.57 (step @p617 :rule symm :premises (@p616)) % 34.06/34.57 (step @p618 :rule trans :premises (@p617 @p589 @p512)) % 34.06/34.57 (step @p619 false :rule eq_resolve :premises (@p618 @p98)) % 34.06/34.57 ) % 34.06/34.57 % SZS output end Proof % 34.06/34.57 % cvc5 exiting %------------------------------------------------------------------------------