%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC204+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 08:58:26 AM UTC 2026 % Result : Theorem 0.72s 0.94s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC204+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n008.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:24:33 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.72/0.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/0.94 % SZS status Theorem % 0.72/0.94 % SZS output start Proof % 0.72/0.94 ( % 0.72/0.94 (declare-sort $$unsorted 0) % 0.72/0.94 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.72/0.94 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.72/0.94 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.94 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.94 (declare-const tptp.nil $$unsorted) % 0.72/0.94 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.72/0.94 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.72/0.94 (define @t1 () (@var "V" $$unsorted)) % 0.72/0.94 (define @t2 () (@var "U" $$unsorted)) % 0.72/0.94 (define @t3 () (= @t2 @t1)) % 0.72/0.94 (define @t4 () (not @t3)) % 0.72/0.94 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.72/0.94 (define @t6 () (tptp.ssItem @t1)) % 0.72/0.94 (define @t7 () (@list @t1)) % 0.72/0.94 (define @t8 () (tptp.ssItem @t2)) % 0.72/0.94 (define @t9 () (@list @t2)) % 0.72/0.94 (define @t10 () (@var "X" $$unsorted)) % 0.72/0.94 (define @t11 () (tptp.cons @t1 @t10)) % 0.72/0.94 (define @t12 () (@var "W" $$unsorted)) % 0.72/0.94 (define @t13 () (tptp.ssList @t10)) % 0.72/0.94 (define @t14 () (@list @t10)) % 0.72/0.94 (define @t15 () (tptp.ssList @t12)) % 0.72/0.94 (define @t16 () (@list @t12)) % 0.72/0.94 (define @t17 () (tptp.ssList @t2)) % 0.72/0.94 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.72/0.94 (define @t19 () (tptp.app @t1 @t12)) % 0.72/0.94 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.72/0.94 (define @t21 () (tptp.ssList @t1)) % 0.72/0.94 (define @t22 () (tptp.app @t12 @t1)) % 0.72/0.94 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.72/0.94 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.72/0.94 (define @t25 () (tptp.leq @t12 @t1)) % 0.72/0.94 (define @t26 () (tptp.leq @t1 @t12)) % 0.72/0.94 (define @t27 () (@var "Z" $$unsorted)) % 0.72/0.94 (define @t28 () (@var "Y" $$unsorted)) % 0.72/0.94 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.72/0.94 (define @t30 () (tptp.ssList @t27)) % 0.72/0.94 (define @t31 () (@list @t27)) % 0.72/0.94 (define @t32 () (tptp.ssList @t28)) % 0.72/0.94 (define @t33 () (@list @t28)) % 0.72/0.94 (define @t34 () (tptp.ssItem @t12)) % 0.72/0.94 (define @t35 () (tptp.lt @t1 @t12)) % 0.72/0.94 (define @t36 () (= @t1 @t12)) % 0.72/0.94 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.72/0.94 (define @t38 () (=> @t17 @t37)) % 0.72/0.94 (define @t39 () (forall @t9 @t38)) % 0.72/0.94 (define @t40 () (tptp.cons @t1 @t2)) % 0.72/0.94 (define @t41 () (tptp.ssList tptp.nil)) % 0.72/0.94 (define @t42 () (not (= @t40 @t2))) % 0.72/0.94 (define @t43 () (=> @t6 @t42)) % 0.72/0.94 (define @t44 () (forall @t7 @t43)) % 0.72/0.94 (define @t45 () (=> @t17 @t44)) % 0.72/0.94 (define @t46 () (forall @t9 @t45)) % 0.72/0.94 (define @t47 () (= @t1 @t2)) % 0.72/0.94 (define @t48 () (tptp.cons @t12 @t1)) % 0.72/0.94 (define @t49 () (= tptp.nil @t2)) % 0.72/0.94 (define @t50 () (tptp.hd @t2)) % 0.72/0.94 (define @t51 () (tptp.ssItem @t50)) % 0.72/0.94 (define @t52 () (not @t49)) % 0.72/0.94 (define @t53 () (=> @t52 @t51)) % 0.72/0.94 (define @t54 () (=> @t17 @t53)) % 0.72/0.94 (define @t55 () (forall @t9 @t54)) % 0.72/0.94 (define @t56 () (tptp.tl @t2)) % 0.72/0.94 (define @t57 () (tptp.ssList @t56)) % 0.72/0.94 (define @t58 () (=> @t52 @t57)) % 0.72/0.94 (define @t59 () (=> @t17 @t58)) % 0.72/0.94 (define @t60 () (forall @t9 @t59)) % 0.72/0.94 (define @t61 () (tptp.app @t2 @t1)) % 0.72/0.94 (define @t62 () (tptp.ssList @t61)) % 0.72/0.94 (define @t63 () (forall @t7 (=> @t21 @t62))) % 0.72/0.94 (define @t64 () (=> @t17 @t63)) % 0.72/0.94 (define @t65 () (forall @t9 @t64)) % 0.72/0.94 (define @t66 () (tptp.app @t1 @t2)) % 0.72/0.94 (define @t67 () (tptp.app tptp.nil @t2)) % 0.72/0.94 (define @t68 () (=> @t17 (= @t67 @t2))) % 0.72/0.94 (define @t69 () (forall @t9 @t68)) % 0.72/0.94 (define @t70 () (tptp.leq @t1 @t2)) % 0.72/0.94 (define @t71 () (tptp.leq @t2 @t1)) % 0.72/0.94 (define @t72 () (tptp.geq @t2 @t1)) % 0.72/0.94 (define @t73 () (tptp.lt @t1 @t2)) % 0.72/0.94 (define @t74 () (tptp.lt @t2 @t1)) % 0.72/0.94 (define @t75 () (tptp.lt @t2 @t12)) % 0.72/0.94 (define @t76 () (tptp.gt @t2 @t1)) % 0.72/0.94 (define @t77 () (tptp.memberP @t12 @t2)) % 0.72/0.94 (define @t78 () (tptp.app @t12 @t2)) % 0.72/0.94 (define @t79 () (tptp.cons @t2 tptp.nil)) % 0.72/0.94 (define @t80 () (tptp.hd @t1)) % 0.72/0.94 (define @t81 () (= tptp.nil @t1)) % 0.72/0.94 (define @t82 () (not @t81)) % 0.72/0.94 (define @t83 () (tptp.cons @t2 @t1)) % 0.72/0.94 (define @t84 () (tptp.tl @t1)) % 0.72/0.94 (define @t85 () (tptp.cons @t50 @t56)) % 0.72/0.94 (define @t86 () (=> @t52 (= @t85 @t2))) % 0.72/0.94 (define @t87 () (=> @t17 @t86)) % 0.72/0.94 (define @t88 () (forall @t9 @t87)) % 0.72/0.94 (define @t89 () (= @t12 @t2)) % 0.72/0.94 (define @t90 () (tptp.neq @t1 tptp.nil)) % 0.72/0.94 (define @t91 () (not @t90)) % 0.72/0.94 (define @t92 () (or @t91 (tptp.neq @t10 tptp.nil))) % 0.72/0.94 (define @t93 () (tptp.neq @t2 tptp.nil)) % 0.72/0.94 (define @t94 () (tptp.neq tptp.nil @t10)) % 0.72/0.94 (define @t95 () (tptp.app @t12 @t27)) % 0.72/0.94 (define @t96 () (tptp.tl @t10)) % 0.72/0.94 (define @t97 () (and @t30 (= @t96 @t27) (= @t95 @t28) @t94)) % 0.72/0.94 (define @t98 () (exists @t31 @t97)) % 0.72/0.94 (define @t99 () (= @t10 @t28)) % 0.72/0.94 (define @t100 () (not @t99)) % 0.72/0.94 (define @t101 () (and @t32 @t100 @t98)) % 0.72/0.94 (define @t102 () (exists @t33 @t101)) % 0.72/0.94 (define @t103 () (or @t91 @t102 @t93)) % 0.72/0.94 (define @t104 () (and @t103 @t92)) % 0.72/0.94 (define @t105 () (not (= @t2 @t12))) % 0.72/0.94 (define @t106 () (not (= @t1 @t10))) % 0.72/0.94 (define @t107 () (or @t106 @t105 @t104)) % 0.72/0.94 (define @t108 () (=> @t13 @t107)) % 0.72/0.94 (define @t109 () (forall @t14 @t108)) % 0.72/0.94 (define @t110 () (=> @t15 @t109)) % 0.72/0.94 (define @t111 () (forall @t16 @t110)) % 0.72/0.94 (define @t112 () (=> @t21 @t111)) % 0.72/0.94 (define @t113 () (forall @t7 @t112)) % 0.72/0.94 (define @t114 () (=> @t17 @t113)) % 0.72/0.94 (define @t115 () (forall @t9 @t114)) % 0.72/0.94 (define @t116 () (not @t115)) % 0.72/0.94 (define @t117 () (@var "BOUND_VARIABLE_9105" $$unsorted)) % 0.72/0.94 (define @t118 () (= (tptp.neq @t2 @t117) (not (= @t2 @t117)))) % 0.72/0.94 (define @t119 () (not (tptp.ssList @t117))) % 0.72/0.94 (define @t120 () (not @t17)) % 0.72/0.94 (define @t121 () (or @t120 @t119 @t118)) % 0.72/0.94 (define @t122 () (or @t119 @t118)) % 0.72/0.94 (define @t123 () (or @t120 @t122)) % 0.72/0.94 (define @t124 () (@list @t2 @t117)) % 0.72/0.94 (define @t125 () (forall @t124 @t123)) % 0.72/0.94 (define @t126 () (@list @t117)) % 0.72/0.94 (define @t127 () (forall @t126 @t123)) % 0.72/0.94 (define @t128 () (forall @t126 @t122)) % 0.72/0.94 (define @t129 () (@list @t1)) % 0.72/0.94 (define @t130 () (or @t120 @t128)) % 0.72/0.94 (define @t131 () (not @t21)) % 0.72/0.94 (define @t132 () (forall @t7 (or @t131 @t5))) % 0.72/0.94 (define @t133 () (@var "BOUND_VARIABLE_11041" $$unsorted)) % 0.72/0.94 (define @t134 () (tptp.tl @t133)) % 0.72/0.94 (define @t135 () (tptp.app @t2 @t134)) % 0.72/0.94 (define @t136 () (and (tptp.neq tptp.nil @t133) (tptp.ssList @t134) (tptp.ssList @t135) (not (= @t133 @t135)))) % 0.72/0.94 (define @t137 () (not (tptp.neq @t133 tptp.nil))) % 0.72/0.94 (define @t138 () (not (tptp.ssList @t133))) % 0.72/0.94 (define @t139 () (or @t120 @t93 @t138 @t137 @t136)) % 0.72/0.94 (define @t140 () (@list @t2 @t133)) % 0.72/0.94 (define @t141 () (forall @t140 @t139)) % 0.72/0.94 (define @t142 () (@quantifiers_skolemize @t141 0)) % 0.72/0.94 (define @t143 () (not (= @t142 tptp.nil))) % 0.72/0.94 (define @t144 () (tptp.neq @t142 tptp.nil)) % 0.72/0.94 (define @t145 () (= @t144 @t143)) % 0.72/0.94 (define @t146 () (not @t41)) % 0.72/0.94 (define @t147 () (tptp.ssList @t142)) % 0.72/0.94 (define @t148 () (not @t147)) % 0.72/0.94 (define @t149 () (or @t148 @t146 @t145)) % 0.72/0.94 (define @t150 () (forall @t124 @t121)) % 0.72/0.94 (define @t151 () (= tptp.nil @t142)) % 0.72/0.94 (define @t152 () (not @t151)) % 0.72/0.94 (define @t153 () (= @t144 @t152)) % 0.72/0.94 (define @t154 () (or @t148 @t146 @t153)) % 0.72/0.94 (define @t155 () (@list false)) % 0.72/0.94 (define @t156 () (@list @t150)) % 0.72/0.94 (define @t157 () (or @t138 @t137 @t136)) % 0.72/0.94 (define @t158 () (or @t120 @t93 @t157)) % 0.72/0.94 (define @t159 () (forall @t140 @t158)) % 0.72/0.94 (define @t160 () (@list @t133)) % 0.72/0.94 (define @t161 () (forall @t160 @t158)) % 0.72/0.94 (define @t162 () (forall @t160 @t157)) % 0.72/0.94 (define @t163 () (or @t120 @t93 @t162)) % 0.72/0.94 (define @t164 () (tptp.app @t2 @t84)) % 0.72/0.94 (define @t165 () (tptp.ssList @t84)) % 0.72/0.94 (define @t166 () (tptp.neq tptp.nil @t1)) % 0.72/0.94 (define @t167 () (and @t166 @t165 (tptp.ssList @t164) (not (= @t1 @t164)))) % 0.72/0.94 (define @t168 () (or @t131 @t91 @t167)) % 0.72/0.94 (define @t169 () (forall @t7 @t168)) % 0.72/0.94 (define @t170 () (or @t120 @t93 @t169)) % 0.72/0.94 (define @t171 () (or @t93 @t120 @t169)) % 0.72/0.94 (define @t172 () (or @t93 @t120 @t168)) % 0.72/0.94 (define @t173 () (or @t131 @t91 @t93 @t120 @t167)) % 0.72/0.94 (define @t174 () (or @t120 @t167)) % 0.72/0.94 (define @t175 () (not (= @t2 @t2))) % 0.72/0.94 (define @t176 () (or @t120 @t175 @t167)) % 0.72/0.94 (define @t177 () (tptp.app @t12 @t84)) % 0.72/0.94 (define @t178 () (and @t166 @t165 (tptp.ssList @t177) (not (= @t1 @t177)))) % 0.72/0.94 (define @t179 () (not @t15)) % 0.72/0.94 (define @t180 () (or @t105 @t179 @t105 @t178)) % 0.72/0.94 (define @t181 () (or @t179 @t105 @t178)) % 0.72/0.94 (define @t182 () (forall @t16 @t181)) % 0.72/0.94 (define @t183 () (or @t131 @t91 @t93 @t182)) % 0.72/0.94 (define @t184 () (or @t131 @t91 @t93 @t181)) % 0.72/0.94 (define @t185 () (or @t179 @t105 @t131 @t91 @t178 @t93)) % 0.72/0.94 (define @t186 () (or @t91 @t178 @t93)) % 0.72/0.94 (define @t187 () (and @t186 true)) % 0.72/0.94 (define @t188 () (or @t179 @t105 @t131 @t187)) % 0.72/0.94 (define @t189 () (and @t186 (or @t91 @t90))) % 0.72/0.94 (define @t190 () (or @t105 @t131 @t189)) % 0.72/0.94 (define @t191 () (or @t131 @t189)) % 0.72/0.94 (define @t192 () (not (= @t1 @t1))) % 0.72/0.94 (define @t193 () (or @t131 @t192 @t189)) % 0.72/0.94 (define @t194 () (tptp.app @t12 @t96)) % 0.72/0.94 (define @t195 () (= @t10 @t194)) % 0.72/0.94 (define @t196 () (not @t195)) % 0.72/0.94 (define @t197 () (tptp.ssList @t194)) % 0.72/0.94 (define @t198 () (tptp.ssList @t96)) % 0.72/0.94 (define @t199 () (and (or @t91 (and @t94 @t198 @t197 @t196) @t93) @t92)) % 0.72/0.94 (define @t200 () (not @t13)) % 0.72/0.94 (define @t201 () (or @t106 @t200 @t106 @t199)) % 0.72/0.94 (define @t202 () (or @t200 @t106 @t199)) % 0.72/0.94 (define @t203 () (forall @t14 @t202)) % 0.72/0.94 (define @t204 () (or @t105 @t203)) % 0.72/0.94 (define @t205 () (or @t105 @t202)) % 0.72/0.94 (define @t206 () (or @t200 @t106 @t105 @t199)) % 0.72/0.94 (define @t207 () (not @t197)) % 0.72/0.94 (define @t208 () (not @t207)) % 0.72/0.94 (define @t209 () (not @t198)) % 0.72/0.94 (define @t210 () (not @t209)) % 0.72/0.94 (define @t211 () (not @t94)) % 0.72/0.94 (define @t212 () (not @t211)) % 0.72/0.94 (define @t213 () (and @t212 @t210 @t208 @t196)) % 0.72/0.94 (define @t214 () (or @t207 @t195)) % 0.72/0.94 (define @t215 () (or @t211 @t209 @t207 @t195)) % 0.72/0.94 (define @t216 () (or @t91 (not @t215) @t93)) % 0.72/0.94 (define @t217 () (and @t216 @t92)) % 0.72/0.94 (define @t218 () (or @t106 @t105 @t217)) % 0.72/0.94 (define @t219 () (not (= @t194 @t194))) % 0.72/0.94 (define @t220 () (or @t207 @t195 @t219)) % 0.72/0.94 (define @t221 () (not (= @t28 @t194))) % 0.72/0.94 (define @t222 () (not @t32)) % 0.72/0.94 (define @t223 () (or @t221 @t222 @t99 @t221)) % 0.72/0.94 (define @t224 () (or @t222 @t99 @t221)) % 0.72/0.94 (define @t225 () (forall @t33 @t224)) % 0.72/0.94 (define @t226 () (or @t211 @t209 @t225)) % 0.72/0.94 (define @t227 () (or @t211 @t209 @t224)) % 0.72/0.94 (define @t228 () (or @t222 @t99 @t211 @t209 @t221)) % 0.72/0.94 (define @t229 () (or @t211 @t209 @t221)) % 0.72/0.94 (define @t230 () (not @t229)) % 0.72/0.94 (define @t231 () (not @t230)) % 0.72/0.94 (define @t232 () (not @t100)) % 0.72/0.94 (define @t233 () (or @t222 @t232 @t231)) % 0.72/0.94 (define @t234 () (and @t32 @t100 @t230)) % 0.72/0.94 (define @t235 () (forall @t33 (not @t234))) % 0.72/0.94 (define @t236 () (not @t235)) % 0.72/0.94 (define @t237 () (or @t209 @t221)) % 0.72/0.94 (define @t238 () (not (= @t96 @t96))) % 0.72/0.94 (define @t239 () (or @t209 @t238 @t221)) % 0.72/0.94 (define @t240 () (= @t28 @t95)) % 0.72/0.94 (define @t241 () (not @t240)) % 0.72/0.94 (define @t242 () (= @t27 @t96)) % 0.72/0.94 (define @t243 () (not @t242)) % 0.72/0.94 (define @t244 () (not @t30)) % 0.72/0.94 (define @t245 () (or @t243 @t244 @t243 @t241)) % 0.72/0.94 (define @t246 () (or @t244 @t243 @t241)) % 0.72/0.94 (define @t247 () (forall @t31 @t246)) % 0.72/0.94 (define @t248 () (or @t211 @t247)) % 0.72/0.94 (define @t249 () (or @t211 @t246)) % 0.72/0.94 (define @t250 () (or @t244 @t243 @t241 @t211)) % 0.72/0.94 (define @t251 () (and @t30 @t242 @t240 @t94)) % 0.72/0.94 (define @t252 () (forall @t31 (not @t251))) % 0.72/0.94 (define @t253 () (not @t252)) % 0.72/0.94 (define @t254 () (@quantifiers_skolemize @t141 1)) % 0.72/0.94 (define @t255 () (tptp.tl @t254)) % 0.72/0.94 (define @t256 () (tptp.app @t142 @t255)) % 0.72/0.94 (define @t257 () (= @t254 @t256)) % 0.72/0.94 (define @t258 () (not @t257)) % 0.72/0.94 (define @t259 () (tptp.ssList @t256)) % 0.72/0.94 (define @t260 () (tptp.ssList @t255)) % 0.72/0.94 (define @t261 () (tptp.neq tptp.nil @t254)) % 0.72/0.94 (define @t262 () (and @t261 @t260 @t259 @t258)) % 0.72/0.94 (define @t263 () (tptp.neq @t254 tptp.nil)) % 0.72/0.94 (define @t264 () (not @t263)) % 0.72/0.94 (define @t265 () (tptp.ssList @t254)) % 0.72/0.94 (define @t266 () (not @t265)) % 0.72/0.94 (define @t267 () (or @t148 @t144 @t266 @t264 @t262)) % 0.72/0.94 (define @t268 () (@list true)) % 0.72/0.94 (define @t269 () (@list @t267)) % 0.72/0.94 (define @t270 () (@list false false false)) % 0.72/0.94 (define @t271 () (not @t153)) % 0.72/0.94 (define @t272 () (@list true false)) % 0.72/0.94 (define @t273 () (= @t2 @t85)) % 0.72/0.94 (define @t274 () (= @t2 tptp.nil)) % 0.72/0.94 (define @t275 () (or @t120 @t274 @t273)) % 0.72/0.94 (define @t276 () (not @t274)) % 0.72/0.94 (define @t277 () (not @t276)) % 0.72/0.94 (define @t278 () (=> @t276 @t273)) % 0.72/0.94 (define @t279 () (tptp.hd @t254)) % 0.72/0.94 (define @t280 () (tptp.cons @t279 @t255)) % 0.72/0.94 (define @t281 () (= @t254 @t280)) % 0.72/0.94 (define @t282 () (= @t254 tptp.nil)) % 0.72/0.94 (define @t283 () (or @t266 @t282 @t281)) % 0.72/0.94 (define @t284 () (forall @t9 @t275)) % 0.72/0.94 (define @t285 () (@list @t254)) % 0.72/0.94 (define @t286 () (= tptp.nil @t254)) % 0.72/0.94 (define @t287 () (or @t266 @t286 @t281)) % 0.72/0.94 (define @t288 () (not @t282)) % 0.72/0.94 (define @t289 () (= @t263 @t288)) % 0.72/0.94 (define @t290 () (or @t266 @t146 @t289)) % 0.72/0.94 (define @t291 () (not @t286)) % 0.72/0.94 (define @t292 () (= @t263 @t291)) % 0.72/0.94 (define @t293 () (or @t266 @t146 @t292)) % 0.72/0.94 (define @t294 () (@list false false)) % 0.72/0.94 (define @t295 () (@list false true false)) % 0.72/0.94 (define @t296 () (@var "BOUND_VARIABLE_9149" $$unsorted)) % 0.72/0.94 (define @t297 () (not (= @t2 (tptp.cons @t296 @t2)))) % 0.72/0.94 (define @t298 () (not (tptp.ssItem @t296))) % 0.72/0.94 (define @t299 () (or @t298 @t297)) % 0.72/0.94 (define @t300 () (or @t120 @t299)) % 0.72/0.94 (define @t301 () (forall (@list @t2 @t296) @t300)) % 0.72/0.94 (define @t302 () (@list @t296)) % 0.72/0.94 (define @t303 () (forall @t302 @t300)) % 0.72/0.94 (define @t304 () (forall @t302 @t299)) % 0.72/0.94 (define @t305 () (or @t120 @t304)) % 0.72/0.94 (define @t306 () (not (= @t2 @t40))) % 0.72/0.94 (define @t307 () (forall @t7 (or (not @t6) @t306))) % 0.72/0.94 (define @t308 () (or @t120 @t274 @t51)) % 0.72/0.94 (define @t309 () (=> @t276 @t51)) % 0.72/0.94 (define @t310 () (tptp.ssItem @t279)) % 0.72/0.94 (define @t311 () (or @t266 @t282 @t310)) % 0.72/0.94 (define @t312 () (forall @t9 @t308)) % 0.72/0.94 (define @t313 () (or @t266 @t286 @t310)) % 0.72/0.94 (define @t314 () (or @t120 @t274 @t57)) % 0.72/0.94 (define @t315 () (=> @t276 @t57)) % 0.72/0.94 (define @t316 () (or @t266 @t282 @t260)) % 0.72/0.94 (define @t317 () (forall @t9 @t314)) % 0.72/0.94 (define @t318 () (or @t266 @t286 @t260)) % 0.72/0.94 (define @t319 () (= @t255 @t280)) % 0.72/0.94 (define @t320 () (not @t319)) % 0.72/0.94 (define @t321 () (not @t310)) % 0.72/0.94 (define @t322 () (not @t260)) % 0.72/0.94 (define @t323 () (or @t322 @t321 @t320)) % 0.72/0.94 (define @t324 () (= @t2 @t67)) % 0.72/0.94 (define @t325 () (tptp.app tptp.nil @t255)) % 0.72/0.94 (define @t326 () (= @t255 @t325)) % 0.72/0.94 (define @t327 () (or @t322 @t326)) % 0.72/0.94 (define @t328 () (@var "BOUND_VARIABLE_9370" $$unsorted)) % 0.72/0.94 (define @t329 () (tptp.ssList (tptp.app @t2 @t328))) % 0.72/0.94 (define @t330 () (not (tptp.ssList @t328))) % 0.72/0.94 (define @t331 () (or @t330 @t329)) % 0.72/0.94 (define @t332 () (or @t120 @t331)) % 0.72/0.94 (define @t333 () (forall (@list @t2 @t328) @t332)) % 0.72/0.94 (define @t334 () (@list @t328)) % 0.72/0.94 (define @t335 () (forall @t334 @t332)) % 0.72/0.94 (define @t336 () (forall @t334 @t331)) % 0.72/0.94 (define @t337 () (or @t120 @t336)) % 0.72/0.94 (define @t338 () (forall @t7 (or @t131 @t62))) % 0.72/0.94 (define @t339 () (or @t148 @t322 @t259)) % 0.72/0.94 (define @t340 () (= @t261 @t291)) % 0.72/0.94 (define @t341 () (or @t146 @t266 @t340)) % 0.72/0.94 (define @t342 () (not @t340)) % 0.72/0.94 (define @t343 () (not @t259)) % 0.72/0.94 (define @t344 () (not @t261)) % 0.72/0.94 (define @t345 () (and @t257 @t151 @t281 @t326)) % 0.72/0.94 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.72/0.94 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.72/0.94 (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))))))))))) % 0.72/0.94 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.72/0.94 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.72/0.94 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.72/0.94 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.72/0.94 (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))))))))))))))))) % 0.72/0.94 (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)))))))))))))))) % 0.72/0.94 (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))))))))))))))))) % 0.72/0.94 (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))))))))))))))) % 0.72/0.94 (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))))))))))))))) % 0.72/0.94 (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)))))))))))))))) % 0.72/0.94 (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))))))))))))) % 0.72/0.94 (assume @p15 @t39) % 0.72/0.94 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 0.72/0.94 (assume @p17 @t41) % 0.72/0.94 (assume @p18 @t46) % 0.72/0.94 (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) @t47))))))))))) % 0.72/0.94 (assume @p20 (forall @t9 (=> @t17 (or @t49 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t48 @t2))))))))) % 0.72/0.94 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.72/0.94 (assume @p22 @t55) % 0.72/0.94 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.72/0.94 (assume @p24 @t60) % 0.72/0.94 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.72/0.94 (assume @p26 @t65) % 0.72/0.94 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t66) (tptp.app @t48 @t2))))))))) % 0.72/0.94 (assume @p28 @t69) % 0.72/0.94 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t71 @t70) @t3)))))) % 0.72/0.94 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t71 @t26) (tptp.leq @t2 @t12))))))))) % 0.72/0.94 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.72/0.94 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 @t70)))))) % 0.72/0.94 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (not @t73))))))) % 0.72/0.94 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t74 @t35) @t75)))))))) % 0.72/0.94 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t76 @t73)))))) % 0.72/0.94 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t77))))))))) % 0.72/0.94 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t77))))))))) % 0.72/0.94 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.72/0.94 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.72/0.94 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.72/0.94 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.72/0.94 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.72/0.94 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.72/0.94 (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)))))))))))) % 0.72/0.94 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.72/0.94 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t49)))) % 0.72/0.94 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.72/0.94 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.72/0.94 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.72/0.94 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t78 @t1))))))))) % 0.72/0.94 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.72/0.94 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t49)))) % 0.72/0.94 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.72/0.94 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.72/0.94 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.72/0.94 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t78 @t10) @t1))))))))))) % 0.72/0.94 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.72/0.94 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t49)))) % 0.72/0.94 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t79)))) % 0.72/0.94 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.72/0.94 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t79)))) % 0.72/0.94 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.72/0.94 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t79)))) % 0.72/0.94 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.72/0.94 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t79)))) % 0.72/0.94 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.72/0.94 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t83) (or @t81 (and @t82 (tptp.totalorderedP @t1) (tptp.leq @t2 @t80))))))))) % 0.72/0.94 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t79)))) % 0.72/0.94 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.72/0.94 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t83) (or @t81 (and @t82 (tptp.strictorderedP @t1) (tptp.lt @t2 @t80))))))))) % 0.72/0.94 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t79)))) % 0.72/0.94 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.72/0.94 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t79)))) % 0.72/0.94 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.72/0.94 (assume @p75 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t6 (= @t50 @t1))))))) % 0.72/0.94 (assume @p76 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t21 (= @t56 @t1))))))) % 0.72/0.94 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t82 @t52 (= @t80 @t50) (= @t84 @t56)) @t47)))))) % 0.72/0.94 (assume @p78 @t88) % 0.72/0.94 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t61) @t89)))))))) % 0.72/0.94 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t66) @t89)))))))) % 0.72/0.94 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.72/0.94 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t61 @t12) (tptp.app @t2 @t19))))))))) % 0.72/0.94 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t61) (and @t81 @t49))))))) % 0.72/0.94 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.72/0.94 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t52 (= (tptp.hd @t61) @t50))))))) % 0.72/0.94 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t52 (= (tptp.tl @t61) (tptp.app @t56 @t1)))))))) % 0.72/0.94 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t72 (tptp.geq @t1 @t2)) @t3)))))) % 0.72/0.94 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.72/0.94 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.72/0.94 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.72/0.94 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t71 @t35) @t75)))))))) % 0.72/0.94 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t71 (or @t3 @t74))))))) % 0.72/0.94 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t74 (and @t4 @t71))))))) % 0.72/0.94 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t76 (not (tptp.gt @t1 @t2)))))))) % 0.72/0.94 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 (tptp.gt 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(step @p537 :rule trans :premises (@p536 @p532)) % 0.72/0.94 (step @p538 :rule eq_resolve :premises (@p24 @p537)) % 0.72/0.94 (step @p539 :rule refl :args (@t260)) % 0.72/0.94 (step @p540 :rule nary_cong :premises (@p422 @p421 @p539) :args (@t316)) % 0.72/0.94 (step @p541 :rule refl :args (@t317)) % 0.72/0.94 (step @p542 :rule cong :premises (@p541 @p540) :args ((=> @t317 @t316))) % 0.72/0.94 (assume-push @p641 @t317) % 0.72/0.94 (step @p544 :rule instantiate :premises (@p538) :args (@t285)) % 0.72/0.94 (step-pop @p642 :rule scope :premises (@p544)) % 0.72/0.94 (step @p545 :rule process_scope :premises (@p642) :args (@t316)) % 0.72/0.94 (step @p547 :rule eq_resolve :premises (@p545 @p542)) % 0.72/0.94 (step @p548 :rule implies_elim :premises (@p547)) % 0.72/0.94 (step @p549 :rule chain_m_resolution :premises (@p548 @p538) :args (@t318 @t155 (@list @t317))) % 0.72/0.94 (step @p550 :rule cnf_or_pos :args (@t318)) % 0.72/0.94 (step @p551 :rule reordering :premises (@p550) :args ((or @t266 @t260 @t286 (not @t318)))) % 0.72/0.94 (step @p552 :rule chain_m_resolution :premises (@p551 @p450 @p462 @p549) :args (@t260 @t295 (@list @t265 @t286 @t318))) % 0.72/0.94 (step @p553 :rule cnf_or_pos :args (@t323)) % 0.72/0.94 (step @p554 :rule reordering :premises (@p553) :args ((or @t322 @t321 @t320 (not @t323)))) % 0.72/0.94 (step @p555 :rule chain_m_resolution :premises (@p554 @p552 @p522 @p492) :args (@t320 @t270 (@list @t260 @t310 @t323))) % 0.72/0.94 (step @p556 :rule bool-impl-elim :args (@t17 @t324)) % 0.72/0.94 (step @p557 :rule cong :premises (@p556) :args ((forall @t9 (=> @t17 @t324)))) % 0.72/0.94 (step @p558 :rule eq-symm :args (@t67 @t2)) % 0.72/0.94 (step @p559 :rule cong :premises (@p115 @p558) :args (@t68)) % 0.72/0.94 (step @p560 :rule cong :premises (@p559) :args (@t69)) % 0.72/0.94 (step @p561 :rule trans :premises (@p560 @p557)) % 0.72/0.94 (step @p562 :rule eq_resolve :premises (@p28 @p561)) % 0.72/0.94 (step @p563 :rule instantiate :premises (@p562) :args ((@list @t255))) % 0.72/0.94 (step @p564 :rule cnf_or_pos :args (@t327)) % 0.72/0.94 (step @p565 :rule reordering :premises (@p564) :args ((or @t322 @t326 (not @t327)))) % 0.72/0.94 (step @p566 :rule chain_m_resolution :premises (@p565 @p552 @p563) :args (@t326 @t294 (@list @t260 @t327))) % 0.72/0.94 (step @p567 :rule aci_norm :args ((= @t332 (or @t120 @t330 @t329)))) % 0.72/0.94 (step @p568 :rule cong :premises (@p567) :args (@t333)) % 0.72/0.94 (step @p569 :rule quant-merge-prenex :args ((= (forall @t9 @t335) @t333))) % 0.72/0.94 (step @p570 :rule alpha_equiv :args (@t336 (@list @t328) @t129)) % 0.72/0.94 (step @p571 :rule nary_cong :premises (@p102 @p570) :args (@t337)) % 0.72/0.94 (step @p572 :rule quant-miniscope-or :args ((= @t335 @t337))) % 0.72/0.94 (step @p573 :rule trans :premises (@p572 @p571)) % 0.72/0.94 (step @p574 :rule symm :premises (@p573)) % 0.72/0.94 (step @p575 :rule cong :premises (@p574) :args ((forall @t9 (or @t120 @t338)))) % 0.72/0.94 (step @p576 :rule trans :premises (@p575 @p569)) % 0.72/0.94 (step @p577 :rule trans :premises (@p576 @p568)) % 0.72/0.94 (step @p578 :rule bool-impl-elim :args (@t17 @t338)) % 0.72/0.94 (step @p579 :rule cong :premises (@p578) :args ((forall @t9 (=> @t17 @t338)))) % 0.72/0.94 (step @p580 :rule trans :premises (@p579 @p577)) % 0.72/0.94 (step @p581 :rule bool-impl-elim :args (@t21 @t62)) % 0.72/0.94 (step @p582 :rule cong :premises (@p581) :args (@t63)) % 0.72/0.94 (step @p583 :rule cong :premises (@p115 @p582) :args (@t64)) % 0.72/0.94 (step @p584 :rule cong :premises (@p583) :args (@t65)) % 0.72/0.94 (step @p585 :rule trans :premises (@p584 @p580)) % 0.72/0.94 (step @p586 :rule eq_resolve :premises (@p26 @p585)) % 0.72/0.94 (step @p587 :rule instantiate :premises (@p586) :args ((@list @t142 @t255))) % 0.72/0.94 (step @p588 :rule cnf_or_pos :args (@t339)) % 0.72/0.94 (step @p589 :rule reordering :premises (@p588) :args ((or @t148 @t259 @t322 (not @t339)))) % 0.72/0.94 (step @p590 :rule chain_m_resolution :premises (@p589 @p388 @p552 @p587) :args (@t259 @t270 (@list @t147 @t260 @t339))) % 0.72/0.94 (step @p591 :rule instantiate :premises (@p119) :args ((@list tptp.nil @t254))) % 0.72/0.94 (step @p592 :rule cnf_or_pos :args (@t341)) % 0.72/0.94 (step @p593 :rule reordering :premises (@p592) :args ((or @t146 @t266 @t340 (not @t341)))) % 0.72/0.94 (step @p594 :rule chain_m_resolution :premises (@p593 @p17 @p450 @p591) :args (@t340 @t270 (@list @t41 @t265 @t341))) % 0.72/0.94 (step @p595 :rule bool-double-not-elim :args (@t286)) % 0.72/0.94 (step @p596 :rule refl :args (@t261)) % 0.72/0.94 (step @p597 :rule refl :args (@t342)) % 0.72/0.94 (step @p598 :rule nary_cong :premises (@p597 @p596 @p595) :args ((or @t342 @t261 (not @t291)))) % 0.72/0.94 (step @p599 :rule cnf_equiv_pos2 :args (@t340)) % 0.72/0.94 (step @p600 :rule eq_resolve :premises (@p599 @p598)) % 0.72/0.94 (step @p601 :rule reordering :premises (@p600) :args ((or @t261 @t286 @t342))) % 0.72/0.94 (step @p602 :rule chain_m_resolution :premises (@p601 @p462 @p594) :args (@t261 @t272 (@list @t286 @t340))) % 0.72/0.94 (step @p603 :rule cnf_or_neg :args (@t267 4)) % 0.72/0.94 (step @p604 :rule chain_m_resolution :premises (@p603 @p381) :args ((not @t262) @t268 @t269)) % 0.72/0.94 (step @p605 :rule bool-double-not-elim :args (@t257)) % 0.72/0.94 (step @p606 :rule refl :args (@t343)) % 0.72/0.94 (step @p607 :rule refl :args (@t322)) % 0.72/0.94 (step @p608 :rule refl :args (@t344)) % 0.72/0.94 (step @p609 :rule refl :args (@t262)) % 0.72/0.94 (step @p610 :rule nary_cong :premises (@p609 @p608 @p607 @p606 @p605) :args ((or @t262 @t344 @t322 @t343 (not @t258)))) % 0.72/0.94 (step @p611 :rule cnf_and_neg :args (@t262)) % 0.72/0.94 (step @p612 :rule eq_resolve :premises (@p611 @p610)) % 0.72/0.94 (step @p613 :rule reordering :premises (@p612) :args ((or @t257 @t262 @t344 @t322 @t343))) % 0.72/0.94 (step @p614 :rule chain_m_resolution :premises (@p613 @p604 @p602 @p552 @p590) :args (@t257 (@list true false false false) (@list @t262 @t261 @t260 @t259))) % 0.72/0.94 (assume-push @p643 @t257) % 0.72/0.94 (assume-push @p644 @t151) % 0.72/0.94 (assume-push @p645 @t281) % 0.72/0.94 (assume-push @p646 @t326) % 0.72/0.94 (step @p619 :rule symm :premises (@p614)) % 0.72/0.94 (step @p620 :rule refl :args (@t255)) % 0.72/0.94 (step @p621 :rule cong :premises (@p400 @p620) :args (@t325)) % 0.72/0.94 (step @p622 :rule trans :premises (@p566 @p621 @p619 @p465)) % 0.72/0.94 (step-pop @p647 :rule scope :premises (@p622)) % 0.72/0.94 (step-pop @p648 :rule scope :premises (@p647)) % 0.72/0.94 (step-pop @p649 :rule scope :premises (@p648)) % 0.72/0.94 (step-pop @p650 :rule scope :premises (@p649)) % 0.72/0.94 (step @p623 :rule process_scope :premises (@p650) :args (@t319)) % 0.72/0.94 (step @p628 :rule implies_elim :premises (@p623)) % 0.72/0.94 (step @p629 :rule cnf_and_neg :args (@t345)) % 0.72/0.94 (step @p630 :rule resolution :premises (@p629 @p628) :args (true @t345)) % 0.72/0.94 (step @p631 :rule reordering :premises (@p630) :args ((or @t258 @t152 (not @t281) @t319 (not @t326)))) % 0.72/0.94 (step @p632 false :rule chain_m_resolution :premises (@p631 @p614 @p566 @p555 @p465 @p400) :args (false (@list false false true false false) (@list @t257 @t326 @t319 @t281 @t151))) % 0.72/0.94 ) % 0.72/0.94 % SZS output end Proof % 0.72/0.94 % cvc5 exiting %------------------------------------------------------------------------------