%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC042+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 : n020.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 08:57:49 AM UTC 2026 % Result : Theorem 0.37s 0.72s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC042+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:11:26 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.72 % SZS status Theorem % 0.37/0.72 % SZS output start Proof % 0.37/0.72 ( % 0.37/0.72 (declare-sort $$unsorted 0) % 0.37/0.72 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.nil $$unsorted) % 0.37/0.72 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.72 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.72 (define @t3 () (= @t2 @t1)) % 0.37/0.72 (define @t4 () (not @t3)) % 0.37/0.72 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.72 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.72 (define @t7 () (@list @t1)) % 0.37/0.72 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.72 (define @t9 () (@list @t2)) % 0.37/0.72 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.72 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.72 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.72 (define @t13 () (tptp.ssList @t10)) % 0.37/0.72 (define @t14 () (@list @t10)) % 0.37/0.72 (define @t15 () (tptp.ssList @t12)) % 0.37/0.72 (define @t16 () (@list @t12)) % 0.37/0.72 (define @t17 () (tptp.ssList @t2)) % 0.37/0.72 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.72 (define @t19 () (tptp.app @t1 @t12)) % 0.37/0.72 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.37/0.72 (define @t21 () (tptp.ssList @t1)) % 0.37/0.72 (define @t22 () (tptp.app @t12 @t1)) % 0.37/0.72 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.37/0.72 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.37/0.72 (define @t25 () (tptp.leq @t12 @t1)) % 0.37/0.72 (define @t26 () (tptp.leq @t1 @t12)) % 0.37/0.72 (define @t27 () (@var "Z" $$unsorted)) % 0.37/0.72 (define @t28 () (@var "Y" $$unsorted)) % 0.37/0.72 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.37/0.72 (define @t30 () (tptp.ssList @t27)) % 0.37/0.72 (define @t31 () (@list @t27)) % 0.37/0.72 (define @t32 () (tptp.ssList @t28)) % 0.37/0.72 (define @t33 () (@list @t28)) % 0.37/0.72 (define @t34 () (tptp.ssItem @t12)) % 0.37/0.72 (define @t35 () (tptp.lt @t1 @t12)) % 0.37/0.72 (define @t36 () (tptp.totalorderedP @t2)) % 0.37/0.72 (define @t37 () (= @t1 @t12)) % 0.37/0.72 (define @t38 () (tptp.cons @t1 @t2)) % 0.37/0.72 (define @t39 () (tptp.ssList tptp.nil)) % 0.37/0.72 (define @t40 () (= @t1 @t2)) % 0.37/0.72 (define @t41 () (tptp.cons @t12 @t1)) % 0.37/0.72 (define @t42 () (= tptp.nil @t2)) % 0.37/0.72 (define @t43 () (tptp.hd @t2)) % 0.37/0.72 (define @t44 () (not @t42)) % 0.37/0.72 (define @t45 () (tptp.tl @t2)) % 0.37/0.72 (define @t46 () (tptp.app @t2 @t1)) % 0.37/0.72 (define @t47 () (tptp.app @t1 @t2)) % 0.37/0.72 (define @t48 () (tptp.leq @t1 @t2)) % 0.37/0.72 (define @t49 () (tptp.leq @t2 @t1)) % 0.37/0.72 (define @t50 () (tptp.geq @t2 @t1)) % 0.37/0.72 (define @t51 () (tptp.lt @t1 @t2)) % 0.37/0.72 (define @t52 () (tptp.lt @t2 @t1)) % 0.37/0.72 (define @t53 () (tptp.lt @t2 @t12)) % 0.37/0.72 (define @t54 () (tptp.gt @t2 @t1)) % 0.37/0.72 (define @t55 () (tptp.memberP @t12 @t2)) % 0.37/0.72 (define @t56 () (tptp.app @t12 @t2)) % 0.37/0.72 (define @t57 () (tptp.cons @t2 tptp.nil)) % 0.37/0.72 (define @t58 () (tptp.hd @t1)) % 0.37/0.72 (define @t59 () (= tptp.nil @t1)) % 0.37/0.72 (define @t60 () (not @t59)) % 0.37/0.72 (define @t61 () (tptp.cons @t2 @t1)) % 0.37/0.72 (define @t62 () (= @t12 @t2)) % 0.37/0.72 (define @t63 () (and @t59 @t42)) % 0.37/0.72 (define @t64 () (= tptp.nil @t46)) % 0.37/0.72 (define @t65 () (= @t64 @t63)) % 0.37/0.72 (define @t66 () (=> @t21 @t65)) % 0.37/0.72 (define @t67 () (forall @t7 @t66)) % 0.37/0.72 (define @t68 () (=> @t17 @t67)) % 0.37/0.72 (define @t69 () (forall @t9 @t68)) % 0.37/0.72 (define @t70 () (not (= tptp.nil @t10))) % 0.37/0.72 (define @t71 () (and @t70 (= tptp.nil @t12))) % 0.37/0.72 (define @t72 () (@var "X2" $$unsorted)) % 0.37/0.72 (define @t73 () (tptp.leq @t72 @t27)) % 0.37/0.72 (define @t74 () (tptp.cons @t72 tptp.nil)) % 0.37/0.72 (define @t75 () (@var "X3" $$unsorted)) % 0.37/0.72 (define @t76 () (tptp.app @t75 @t74)) % 0.37/0.72 (define @t77 () (tptp.ssList @t75)) % 0.37/0.72 (define @t78 () (and @t77 (= @t76 @t12) @t73)) % 0.37/0.72 (define @t79 () (@list @t75)) % 0.37/0.72 (define @t80 () (exists @t79 @t78)) % 0.37/0.72 (define @t81 () (tptp.ssItem @t72)) % 0.37/0.72 (define @t82 () (and @t81 @t80)) % 0.37/0.72 (define @t83 () (@list @t72)) % 0.37/0.72 (define @t84 () (exists @t83 @t82)) % 0.37/0.72 (define @t85 () (@var "X1" $$unsorted)) % 0.37/0.72 (define @t86 () (tptp.cons @t27 tptp.nil)) % 0.37/0.72 (define @t87 () (tptp.app @t86 @t85)) % 0.37/0.72 (define @t88 () (tptp.ssList @t85)) % 0.37/0.72 (define @t89 () (and @t88 (= @t87 @t28) @t84)) % 0.37/0.72 (define @t90 () (@list @t85)) % 0.37/0.72 (define @t91 () (exists @t90 @t89)) % 0.37/0.72 (define @t92 () (tptp.ssItem @t27)) % 0.37/0.72 (define @t93 () (and @t92 @t91)) % 0.37/0.72 (define @t94 () (exists @t31 @t93)) % 0.37/0.72 (define @t95 () (not (tptp.totalorderedP @t12))) % 0.37/0.72 (define @t96 () (tptp.app @t12 @t28)) % 0.37/0.72 (define @t97 () (not (= @t96 @t10))) % 0.37/0.72 (define @t98 () (or @t97 @t95 @t94)) % 0.37/0.72 (define @t99 () (=> @t32 @t98)) % 0.37/0.72 (define @t100 () (forall @t33 @t99)) % 0.37/0.72 (define @t101 () (not (= @t2 @t12))) % 0.37/0.72 (define @t102 () (not (= @t1 @t10))) % 0.37/0.72 (define @t103 () (or @t60 @t102 @t101 @t42 @t100 @t71)) % 0.37/0.72 (define @t104 () (=> @t13 @t103)) % 0.37/0.72 (define @t105 () (forall @t14 @t104)) % 0.37/0.72 (define @t106 () (=> @t15 @t105)) % 0.37/0.72 (define @t107 () (forall @t16 @t106)) % 0.37/0.72 (define @t108 () (=> @t21 @t107)) % 0.37/0.72 (define @t109 () (forall @t7 @t108)) % 0.37/0.72 (define @t110 () (=> @t17 @t109)) % 0.37/0.72 (define @t111 () (forall @t9 @t110)) % 0.37/0.72 (define @t112 () (not @t111)) % 0.37/0.72 (define @t113 () (@var "BOUND_VARIABLE_11194" $$unsorted)) % 0.37/0.72 (define @t114 () (@var "BOUND_VARIABLE_11023" $$unsorted)) % 0.37/0.72 (define @t115 () (tptp.app @t86 @t114)) % 0.37/0.72 (define @t116 () (not (tptp.ssList @t114))) % 0.37/0.72 (define @t117 () (@var "BOUND_VARIABLE_11008" $$unsorted)) % 0.37/0.72 (define @t118 () (@var "BOUND_VARIABLE_11010" $$unsorted)) % 0.37/0.72 (define @t119 () (tptp.app @t118 (tptp.cons @t117 tptp.nil))) % 0.37/0.72 (define @t120 () (not (= @t2 @t119))) % 0.37/0.72 (define @t121 () (not (tptp.ssList @t118))) % 0.37/0.72 (define @t122 () (not (tptp.leq @t117 @t27))) % 0.37/0.72 (define @t123 () (not (tptp.ssItem @t117))) % 0.37/0.72 (define @t124 () (not @t92)) % 0.37/0.72 (define @t125 () (@list @t27 @t117 @t118 @t114)) % 0.37/0.72 (define @t126 () (not (forall @t125 (or @t124 @t123 @t122 @t121 @t120 @t116 (not (= @t115 @t113)))))) % 0.37/0.72 (define @t127 () (not (= tptp.nil (tptp.app @t2 @t113)))) % 0.37/0.72 (define @t128 () (not (tptp.ssList @t113))) % 0.37/0.72 (define @t129 () (not @t36)) % 0.37/0.72 (define @t130 () (= @t2 tptp.nil)) % 0.37/0.72 (define @t131 () (not @t17)) % 0.37/0.72 (define @t132 () (or @t131 @t130 @t129 @t128 @t127 @t126)) % 0.37/0.72 (define @t133 () (or @t128 @t127 @t126)) % 0.37/0.72 (define @t134 () (or @t131 @t130 @t129 @t133)) % 0.37/0.72 (define @t135 () (@list @t2 @t113)) % 0.37/0.72 (define @t136 () (forall @t135 @t134)) % 0.37/0.72 (define @t137 () (@list @t113)) % 0.37/0.72 (define @t138 () (forall @t137 @t134)) % 0.37/0.72 (define @t139 () (forall @t137 @t133)) % 0.37/0.72 (define @t140 () (@var "BOUND_VARIABLE_11151" $$unsorted)) % 0.37/0.72 (define @t141 () (@list @t140)) % 0.37/0.72 (define @t142 () (or @t131 @t130 @t129 @t139)) % 0.37/0.72 (define @t143 () (not (forall @t125 (or @t124 @t123 @t122 @t121 @t120 @t116 (not (= @t115 @t140)))))) % 0.37/0.72 (define @t144 () (tptp.app @t2 @t140)) % 0.37/0.72 (define @t145 () (not (= tptp.nil @t144))) % 0.37/0.72 (define @t146 () (not (tptp.ssList @t140))) % 0.37/0.72 (define @t147 () (or @t146 @t145 @t143)) % 0.37/0.72 (define @t148 () (@list @t140)) % 0.37/0.72 (define @t149 () (forall @t148 @t147)) % 0.37/0.72 (define @t150 () (or @t131 @t130 @t129 @t149)) % 0.37/0.72 (define @t151 () (forall @t9 @t150)) % 0.37/0.72 (define @t152 () (not @t39)) % 0.37/0.72 (define @t153 () (or @t152 @t151)) % 0.37/0.72 (define @t154 () (or @t152 @t150)) % 0.37/0.72 (define @t155 () (or @t131 @t130 @t129 @t152 @t149)) % 0.37/0.72 (define @t156 () (or @t130 @t131 @t129 @t152 @t149)) % 0.37/0.72 (define @t157 () (or @t152 @t149)) % 0.37/0.72 (define @t158 () (or @t152 @t147)) % 0.37/0.72 (define @t159 () (or @t152 @t146 @t145 @t143)) % 0.37/0.72 (define @t160 () (not (= tptp.nil tptp.nil))) % 0.37/0.72 (define @t161 () (and @t160 @t130)) % 0.37/0.72 (define @t162 () (or @t152 @t160 @t161 @t146 @t145 @t143)) % 0.37/0.72 (define @t163 () (not (= @t1 @t144))) % 0.37/0.72 (define @t164 () (= @t1 tptp.nil)) % 0.37/0.72 (define @t165 () (not @t164)) % 0.37/0.72 (define @t166 () (and @t165 @t130)) % 0.37/0.72 (define @t167 () (not @t21)) % 0.37/0.72 (define @t168 () (or @t165 @t167 @t165 @t166 @t146 @t163 @t143)) % 0.37/0.72 (define @t169 () (or @t167 @t165 @t166 @t146 @t163 @t143)) % 0.37/0.72 (define @t170 () (forall @t7 @t169)) % 0.37/0.72 (define @t171 () (forall @t148 @t170)) % 0.37/0.72 (define @t172 () (forall (@list @t140 @t1) @t169)) % 0.37/0.72 (define @t173 () (@list @t1 @t140)) % 0.37/0.72 (define @t174 () (or @t146 @t163 @t143)) % 0.37/0.72 (define @t175 () (or @t167 @t165 @t166 @t174)) % 0.37/0.72 (define @t176 () (forall @t173 @t175)) % 0.37/0.72 (define @t177 () (forall @t148 @t175)) % 0.37/0.72 (define @t178 () (forall @t148 @t174)) % 0.37/0.72 (define @t179 () (@var "BOUND_VARIABLE_11103" $$unsorted)) % 0.37/0.72 (define @t180 () (@list @t179)) % 0.37/0.72 (define @t181 () (or @t167 @t165 @t166 @t178)) % 0.37/0.72 (define @t182 () (not (= @t115 @t179))) % 0.37/0.72 (define @t183 () (not (forall @t125 (or @t124 @t123 @t122 @t121 @t120 @t116 @t182)))) % 0.37/0.72 (define @t184 () (not (= @t1 (tptp.app @t2 @t179)))) % 0.37/0.72 (define @t185 () (not (tptp.ssList @t179))) % 0.37/0.72 (define @t186 () (or @t185 @t184 @t183)) % 0.37/0.72 (define @t187 () (@list @t179)) % 0.37/0.72 (define @t188 () (forall @t187 @t186)) % 0.37/0.72 (define @t189 () (or @t167 @t165 @t166 @t188)) % 0.37/0.72 (define @t190 () (forall @t7 @t189)) % 0.37/0.72 (define @t191 () (or @t130 @t131 @t129 @t190)) % 0.37/0.72 (define @t192 () (or @t130 @t131 @t129 @t189)) % 0.37/0.72 (define @t193 () (or @t167 @t165 @t130 @t131 @t129 @t166 @t188)) % 0.37/0.72 (define @t194 () (or @t165 @t130 @t167 @t131 @t129 @t166 @t188)) % 0.37/0.72 (define @t195 () (or @t131 @t129 @t166 @t188)) % 0.37/0.72 (define @t196 () (or @t131 @t129 @t166 @t186)) % 0.37/0.72 (define @t197 () (or @t131 @t129 @t166 @t185 @t184 @t183)) % 0.37/0.72 (define @t198 () (not (= @t2 @t2))) % 0.37/0.72 (define @t199 () (or @t131 @t198 @t129 @t166 @t185 @t184 @t183)) % 0.37/0.72 (define @t200 () (not (= @t12 @t119))) % 0.37/0.72 (define @t201 () (not (forall @t125 (or @t124 @t123 @t122 @t121 @t200 @t116 @t182)))) % 0.37/0.72 (define @t202 () (not (= @t1 (tptp.app @t12 @t179)))) % 0.37/0.72 (define @t203 () (= @t12 tptp.nil)) % 0.37/0.72 (define @t204 () (and @t165 @t203)) % 0.37/0.72 (define @t205 () (not @t15)) % 0.37/0.72 (define @t206 () (or @t101 @t205 @t101 @t95 @t204 @t185 @t202 @t201)) % 0.37/0.72 (define @t207 () (or @t205 @t101 @t95 @t204 @t185 @t202 @t201)) % 0.37/0.72 (define @t208 () (forall @t16 @t207)) % 0.37/0.72 (define @t209 () (forall @t187 @t208)) % 0.37/0.72 (define @t210 () (forall (@list @t179 @t12) @t207)) % 0.37/0.72 (define @t211 () (@list @t12 @t179)) % 0.37/0.72 (define @t212 () (or @t185 @t202 @t201)) % 0.37/0.72 (define @t213 () (or @t205 @t101 @t95 @t204 @t212)) % 0.37/0.72 (define @t214 () (forall @t211 @t213)) % 0.37/0.72 (define @t215 () (forall @t187 @t213)) % 0.37/0.72 (define @t216 () (forall @t187 @t212)) % 0.37/0.72 (define @t217 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 0.37/0.72 (define @t218 () (@list @t217)) % 0.37/0.72 (define @t219 () (or @t205 @t101 @t95 @t204 @t216)) % 0.37/0.72 (define @t220 () (not (forall @t125 (or @t124 @t123 @t122 @t121 @t200 @t116 (not (= @t115 @t217)))))) % 0.37/0.72 (define @t221 () (tptp.app @t12 @t217)) % 0.37/0.72 (define @t222 () (not (= @t1 @t221))) % 0.37/0.72 (define @t223 () (not (tptp.ssList @t217))) % 0.37/0.72 (define @t224 () (or @t223 @t222 @t220)) % 0.37/0.72 (define @t225 () (@list @t217)) % 0.37/0.72 (define @t226 () (forall @t225 @t224)) % 0.37/0.72 (define @t227 () (or @t205 @t101 @t95 @t204 @t226)) % 0.37/0.72 (define @t228 () (forall @t16 @t227)) % 0.37/0.72 (define @t229 () (or @t165 @t130 @t167 @t228)) % 0.37/0.72 (define @t230 () (or @t165 @t130 @t167 @t227)) % 0.37/0.72 (define @t231 () (or @t205 @t165 @t101 @t130 @t95 @t167 @t204 @t226)) % 0.37/0.72 (define @t232 () (or @t165 @t101 @t130 @t95 @t167 @t204 @t226)) % 0.37/0.72 (define @t233 () (or @t167 @t204 @t226)) % 0.37/0.72 (define @t234 () (or @t167 @t204 @t224)) % 0.37/0.72 (define @t235 () (or @t167 @t204 @t223 @t222 @t220)) % 0.37/0.72 (define @t236 () (not (= @t1 @t1))) % 0.37/0.72 (define @t237 () (or @t167 @t236 @t204 @t223 @t222 @t220)) % 0.37/0.72 (define @t238 () (not (= @t10 @t221))) % 0.37/0.72 (define @t239 () (and (not (= @t10 tptp.nil)) @t203)) % 0.37/0.72 (define @t240 () (not @t13)) % 0.37/0.72 (define @t241 () (or @t102 @t240 @t102 @t239 @t223 @t238 @t220)) % 0.37/0.72 (define @t242 () (or @t240 @t102 @t239 @t223 @t238 @t220)) % 0.37/0.72 (define @t243 () (forall @t14 @t242)) % 0.37/0.72 (define @t244 () (forall @t225 @t243)) % 0.37/0.72 (define @t245 () (forall (@list @t217 @t10) @t242)) % 0.37/0.72 (define @t246 () (@list @t10 @t217)) % 0.37/0.72 (define @t247 () (not (= @t217 @t115))) % 0.37/0.72 (define @t248 () (or @t124 @t123 @t122 @t121 @t200 @t116 @t247)) % 0.37/0.72 (define @t249 () (forall @t125 @t248)) % 0.37/0.72 (define @t250 () (not @t249)) % 0.37/0.72 (define @t251 () (or @t240 @t102 @t239 @t223 @t238 @t250)) % 0.37/0.72 (define @t252 () (or @t223 @t238 @t250)) % 0.37/0.72 (define @t253 () (or @t240 @t102 @t239 @t252)) % 0.37/0.72 (define @t254 () (forall @t246 @t253)) % 0.37/0.72 (define @t255 () (forall @t225 @t253)) % 0.37/0.72 (define @t256 () (forall @t225 @t252)) % 0.37/0.72 (define @t257 () (or @t240 @t102 @t239 @t256)) % 0.37/0.72 (define @t258 () (not (= @t28 @t115))) % 0.37/0.72 (define @t259 () (or @t124 @t123 @t122 @t121 @t200 @t116 @t258)) % 0.37/0.72 (define @t260 () (not (forall @t125 @t259))) % 0.37/0.72 (define @t261 () (not (= @t10 @t96))) % 0.37/0.72 (define @t262 () (not @t32)) % 0.37/0.72 (define @t263 () (or @t262 @t261 @t260)) % 0.37/0.72 (define @t264 () (forall @t33 @t263)) % 0.37/0.72 (define @t265 () (or @t240 @t102 @t239 @t264)) % 0.37/0.72 (define @t266 () (forall @t14 @t265)) % 0.37/0.72 (define @t267 () (or @t165 @t101 @t130 @t95 @t266)) % 0.37/0.72 (define @t268 () (or @t165 @t101 @t130 @t95 @t265)) % 0.37/0.72 (define @t269 () (or @t240 @t165 @t102 @t101 @t130 @t239 @t95 @t264)) % 0.37/0.72 (define @t270 () (or @t165 @t102 @t101 @t130 @t239 @t95 @t264)) % 0.37/0.72 (define @t271 () (or @t95 @t264)) % 0.37/0.72 (define @t272 () (or @t95 @t263)) % 0.37/0.72 (define @t273 () (or @t262 @t261 @t95 @t260)) % 0.37/0.72 (define @t274 () (or @t261 @t95 @t260)) % 0.37/0.72 (define @t275 () (or @t116 @t258)) % 0.37/0.72 (define @t276 () (or @t123 @t122 @t121 @t200)) % 0.37/0.72 (define @t277 () (or @t124 @t276 @t275)) % 0.37/0.72 (define @t278 () (forall @t125 @t277)) % 0.37/0.72 (define @t279 () (forall (@list @t117 @t118 @t114) @t277)) % 0.37/0.72 (define @t280 () (forall (@list @t114) @t275)) % 0.37/0.72 (define @t281 () (forall (@list @t117 @t118) @t276)) % 0.37/0.72 (define @t282 () (@var "BOUND_VARIABLE_10973" $$unsorted)) % 0.37/0.72 (define @t283 () (or @t124 @t281 @t280)) % 0.37/0.72 (define @t284 () (= @t28 @t87)) % 0.37/0.72 (define @t285 () (not @t284)) % 0.37/0.72 (define @t286 () (not @t88)) % 0.37/0.72 (define @t287 () (or @t286 @t285)) % 0.37/0.72 (define @t288 () (forall @t90 @t287)) % 0.37/0.72 (define @t289 () (not (= @t12 (tptp.app @t282 @t74)))) % 0.37/0.72 (define @t290 () (not (tptp.ssList @t282))) % 0.37/0.72 (define @t291 () (not @t73)) % 0.37/0.72 (define @t292 () (not @t81)) % 0.37/0.72 (define @t293 () (or @t292 @t291 @t290 @t289)) % 0.37/0.72 (define @t294 () (@list @t72 @t282)) % 0.37/0.72 (define @t295 () (forall @t294 @t293)) % 0.37/0.72 (define @t296 () (or @t124 @t295 @t288)) % 0.37/0.72 (define @t297 () (or @t295 @t288)) % 0.37/0.72 (define @t298 () (not @t297)) % 0.37/0.72 (define @t299 () (and @t92 @t298)) % 0.37/0.72 (define @t300 () (forall @t31 (not @t299))) % 0.37/0.72 (define @t301 () (not @t300)) % 0.37/0.72 (define @t302 () (or @t295 @t287)) % 0.37/0.72 (define @t303 () (or @t286 @t285 @t295)) % 0.37/0.72 (define @t304 () (not @t295)) % 0.37/0.72 (define @t305 () (not @t304)) % 0.37/0.72 (define @t306 () (or @t286 @t285 @t305)) % 0.37/0.72 (define @t307 () (and @t88 @t284 @t304)) % 0.37/0.72 (define @t308 () (forall @t90 (not @t307))) % 0.37/0.72 (define @t309 () (not @t308)) % 0.37/0.72 (define @t310 () (or @t290 @t289)) % 0.37/0.72 (define @t311 () (or @t292 @t291 @t310)) % 0.37/0.72 (define @t312 () (forall @t294 @t311)) % 0.37/0.72 (define @t313 () (@list @t282)) % 0.37/0.72 (define @t314 () (forall @t313 @t311)) % 0.37/0.72 (define @t315 () (forall @t313 @t310)) % 0.37/0.72 (define @t316 () (or @t292 @t291 @t315)) % 0.37/0.72 (define @t317 () (= @t12 @t76)) % 0.37/0.72 (define @t318 () (not @t317)) % 0.37/0.72 (define @t319 () (not @t77)) % 0.37/0.72 (define @t320 () (or @t319 @t318)) % 0.37/0.72 (define @t321 () (forall @t79 @t320)) % 0.37/0.72 (define @t322 () (or @t292 @t291 @t321)) % 0.37/0.72 (define @t323 () (or @t291 @t321)) % 0.37/0.72 (define @t324 () (not @t323)) % 0.37/0.72 (define @t325 () (and @t81 @t324)) % 0.37/0.72 (define @t326 () (forall @t83 (not @t325))) % 0.37/0.72 (define @t327 () (not @t326)) % 0.37/0.72 (define @t328 () (or @t291 @t320)) % 0.37/0.72 (define @t329 () (or @t319 @t318 @t291)) % 0.37/0.72 (define @t330 () (and @t77 @t317 @t73)) % 0.37/0.72 (define @t331 () (forall @t79 (not @t330))) % 0.37/0.72 (define @t332 () (not @t331)) % 0.37/0.72 (define @t333 () (forall @t135 @t132)) % 0.37/0.72 (define @t334 () (@quantifiers_skolemize @t333 1)) % 0.37/0.72 (define @t335 () (not (= @t115 @t334))) % 0.37/0.72 (define @t336 () (@quantifiers_skolemize @t333 0)) % 0.37/0.72 (define @t337 () (= tptp.nil (tptp.app @t336 @t334))) % 0.37/0.72 (define @t338 () (not @t337)) % 0.37/0.72 (define @t339 () (tptp.ssList @t334)) % 0.37/0.72 (define @t340 () (not @t339)) % 0.37/0.72 (define @t341 () (not (tptp.totalorderedP @t336))) % 0.37/0.72 (define @t342 () (= tptp.nil @t336)) % 0.37/0.72 (define @t343 () (tptp.ssList @t336)) % 0.37/0.72 (define @t344 () (not @t343)) % 0.37/0.72 (define @t345 () (or @t344 @t342 @t341 @t340 @t338 (not (forall @t125 (or @t124 @t123 @t122 @t121 (not (= @t119 @t336)) @t116 @t335))))) % 0.37/0.72 (define @t346 () (not @t345)) % 0.37/0.72 (define @t347 () (not @t333)) % 0.37/0.72 (define @t348 () (not (= @t336 @t119))) % 0.37/0.72 (define @t349 () (or @t124 @t123 @t122 @t121 @t348 @t116 @t335)) % 0.37/0.72 (define @t350 () (forall @t125 @t349)) % 0.37/0.72 (define @t351 () (not @t350)) % 0.37/0.72 (define @t352 () (= @t336 tptp.nil)) % 0.37/0.72 (define @t353 () (or @t344 @t352 @t341 @t340 @t338 @t351)) % 0.37/0.72 (define @t354 () (not @t353)) % 0.37/0.72 (define @t355 () (@list true)) % 0.37/0.72 (define @t356 () (@list @t345)) % 0.37/0.72 (define @t357 () (@var "BOUND_VARIABLE_10617" $$unsorted)) % 0.37/0.72 (define @t358 () (and (= @t357 tptp.nil) @t130)) % 0.37/0.72 (define @t359 () (= tptp.nil (tptp.app @t2 @t357))) % 0.37/0.72 (define @t360 () (= @t359 @t358)) % 0.37/0.72 (define @t361 () (not (tptp.ssList @t357))) % 0.37/0.72 (define @t362 () (or @t131 @t361 @t360)) % 0.37/0.72 (define @t363 () (or @t361 @t360)) % 0.37/0.72 (define @t364 () (or @t131 @t363)) % 0.37/0.72 (define @t365 () (@list @t2 @t357)) % 0.37/0.72 (define @t366 () (forall @t365 @t364)) % 0.37/0.72 (define @t367 () (@list @t357)) % 0.37/0.72 (define @t368 () (forall @t367 @t364)) % 0.37/0.72 (define @t369 () (forall @t367 @t363)) % 0.37/0.72 (define @t370 () (or @t131 @t369)) % 0.37/0.72 (define @t371 () (= @t64 (and @t164 @t130))) % 0.37/0.72 (define @t372 () (forall @t7 (or @t167 @t371))) % 0.37/0.72 (define @t373 () (= tptp.nil @t334)) % 0.37/0.72 (define @t374 () (and @t373 @t352)) % 0.37/0.72 (define @t375 () (= @t337 @t374)) % 0.37/0.72 (define @t376 () (or @t344 @t340 @t375)) % 0.37/0.72 (define @t377 () (forall @t365 (or @t131 @t361 (= @t359 (and (= tptp.nil @t357) @t130))))) % 0.37/0.72 (define @t378 () (and @t373 @t342)) % 0.37/0.72 (define @t379 () (= @t337 @t378)) % 0.37/0.72 (define @t380 () (or @t344 @t340 @t379)) % 0.37/0.72 (define @t381 () (not @t378)) % 0.37/0.72 (define @t382 () (not @t379)) % 0.37/0.72 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.72 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.72 (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))))))))))) % 0.37/0.72 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.72 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.37/0.72 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.37/0.72 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.37/0.72 (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))))))))))))))))) % 0.37/0.72 (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)))))))))))))))) % 0.37/0.72 (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))))))))))))))))) % 0.37/0.72 (assume @p11 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.37/0.72 (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))))))))))))))) % 0.37/0.72 (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 @t37)))))))))))))))) % 0.37/0.72 (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) @t37))))))))))))) % 0.37/0.72 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.37/0.72 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 0.37/0.72 (assume @p17 @t39) % 0.37/0.72 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 0.37/0.72 (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) @t40))))))))))) % 0.37/0.72 (assume @p20 (forall @t9 (=> @t17 (or @t42 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t41 @t2))))))))) % 0.37/0.72 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 0.37/0.72 (assume @p22 (forall @t9 (=> @t17 (=> @t44 (tptp.ssItem @t43))))) % 0.37/0.72 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 0.37/0.72 (assume @p24 (forall @t9 (=> @t17 (=> @t44 (tptp.ssList @t45))))) % 0.37/0.72 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 0.37/0.72 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t46)))))) % 0.37/0.72 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t47) (tptp.app @t41 @t2))))))))) % 0.37/0.72 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.72 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 @t48) @t3)))))) % 0.37/0.72 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 @t26) (tptp.leq @t2 @t12))))))))) % 0.37/0.72 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.72 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 @t48)))))) % 0.37/0.72 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not @t51))))))) % 0.37/0.72 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t53)))))))) % 0.37/0.72 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 @t51)))))) % 0.37/0.72 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t55))))))))) % 0.37/0.72 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t55))))))))) % 0.37/0.72 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.37/0.72 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.37/0.72 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.37/0.72 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.37/0.72 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.37/0.72 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.37/0.72 (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)))))))))))) % 0.37/0.72 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.72 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t42)))) % 0.37/0.72 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.37/0.72 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.37/0.72 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.37/0.72 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t56 @t1))))))))) % 0.37/0.72 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.72 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t42)))) % 0.37/0.72 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.37/0.72 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.37/0.72 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.37/0.72 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t56 @t10) @t1))))))))))) % 0.37/0.72 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.72 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) 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(assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t57)))) % 0.37/0.72 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.72 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t57)))) % 0.37/0.72 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.37/0.72 (assume @p75 (forall @t9 (=> @t17 (=> @t44 (exists @t7 (and @t6 (= @t43 @t1))))))) % 0.37/0.72 (assume @p76 (forall @t9 (=> @t17 (=> @t44 (exists @t7 (and @t21 (= @t45 @t1))))))) % 0.37/0.72 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t60 @t44 (= @t58 @t43) (= (tptp.tl @t1) @t45)) @t40)))))) % 0.37/0.72 (assume @p78 (forall @t9 (=> @t17 (=> @t44 (= (tptp.cons @t43 @t45) @t2))))) % 0.37/0.72 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t46) @t62)))))))) % 0.37/0.72 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t47) @t62)))))))) % 0.37/0.72 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2))))))) 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0.37/0.72 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t49 (or @t3 @t52))))))) % 0.37/0.72 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 (and @t4 @t49))))))) % 0.37/0.72 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.72 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.72 (assume @p96 @t112) % 0.37/0.72 (assume @p97 true) % 0.37/0.72 (step @p98 :rule aci_norm :args ((= @t134 @t132))) % 0.37/0.72 (step @p99 :rule cong :premises (@p98) :args (@t136)) % 0.37/0.72 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t138) @t136))) % 0.37/0.72 (step @p101 :rule alpha_equiv :args (@t139 (@list @t113) @t141)) % 0.37/0.72 (step @p102 :rule refl :args (@t129)) % 0.37/0.72 (step @p103 :rule refl :args (@t130)) % 0.37/0.72 (step @p104 :rule refl :args (@t131)) % 0.37/0.72 (step @p105 :rule nary_cong :premises (@p104 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(step @p164 :rule quant-miniscope-or :args ((= @t177 @t181))) % 0.37/0.72 (step @p165 :rule trans :premises (@p164 @p163)) % 0.37/0.72 (step @p166 :rule symm :premises (@p165)) % 0.37/0.72 (step @p167 :rule cong :premises (@p166) :args (@t190)) % 0.37/0.72 (step @p168 :rule trans :premises (@p167 @p158)) % 0.37/0.72 (step @p169 :rule trans :premises (@p168 @p157)) % 0.37/0.72 (step @p170 :rule refl :args (@t129)) % 0.37/0.72 (step @p171 :rule refl :args (@t131)) % 0.37/0.72 (step @p172 :rule nary_cong :premises (@p134 @p171 @p170 @p169) :args (@t191)) % 0.37/0.72 (step @p173 :rule trans :premises (@p172 @p124)) % 0.37/0.72 (step @p174 :rule quant-miniscope-or :args ((= (forall @t7 @t192) @t191))) % 0.37/0.72 (step @p175 :rule aci_norm :args ((= @t193 @t192))) % 0.37/0.72 (step @p176 :rule cong :premises (@p175) :args ((forall @t7 @t193))) % 0.37/0.72 (step @p177 :rule trans :premises (@p176 @p174)) % 0.37/0.72 (step @p178 :rule trans :premises (@p177 @p173)) % 0.37/0.72 (step @p179 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@p502 :rule bool-double-not-elim :args (@t343)) % 0.37/0.72 (step @p503 :rule refl :args (@t345)) % 0.37/0.72 (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or @t345 (not @t344)))) % 0.37/0.72 (step @p505 :rule cnf_or_neg :args (@t345 0)) % 0.37/0.72 (step @p506 :rule eq_resolve :premises (@p505 @p504)) % 0.37/0.72 (step @p507 :rule reordering :premises (@p506) :args ((or @t343 @t345))) % 0.37/0.72 (step @p508 :rule chain_m_resolution :premises (@p507 @p501) :args (@t343 @t355 @t356)) % 0.37/0.72 (step @p509 :rule bool-double-not-elim :args (@t339)) % 0.37/0.72 (step @p510 :rule nary_cong :premises (@p503 @p509) :args ((or @t345 (not @t340)))) % 0.37/0.72 (step @p511 :rule cnf_or_neg :args (@t345 3)) % 0.37/0.72 (step @p512 :rule eq_resolve :premises (@p511 @p510)) % 0.37/0.72 (step @p513 :rule reordering :premises (@p512) :args ((or @t339 @t345))) % 0.37/0.72 (step @p514 :rule chain_m_resolution :premises (@p513 @p501) :args (@t339 @t355 @t356)) % 0.37/0.72 (step @p515 :rule eq-symm :args (@t357 tptp.nil)) % 0.37/0.72 (step @p516 :rule nary_cong :premises (@p515 @p134) :args (@t358)) % 0.37/0.72 (step @p517 :rule refl :args (@t359)) % 0.37/0.72 (step @p518 :rule cong :premises (@p517 @p516) :args (@t360)) % 0.37/0.72 (step @p519 :rule refl :args (@t361)) % 0.37/0.72 (step @p520 :rule nary_cong :premises (@p171 @p519 @p518) :args (@t362)) % 0.37/0.72 (step @p521 :rule aci_norm :args ((= @t364 @t362))) % 0.37/0.72 (step @p522 :rule trans :premises (@p521 @p520)) % 0.37/0.72 (step @p523 :rule cong :premises (@p522) :args (@t366)) % 0.37/0.72 (step @p524 :rule quant-merge-prenex :args ((= (forall @t9 @t368) @t366))) % 0.37/0.72 (step @p525 :rule alpha_equiv :args (@t369 (@list @t357) (@list @t1))) % 0.37/0.72 (step @p526 :rule nary_cong :premises (@p104 @p525) :args (@t370)) % 0.37/0.72 (step @p527 :rule quant-miniscope-or :args ((= @t368 @t370))) % 0.37/0.72 (step @p528 :rule trans :premises (@p527 @p526)) % 0.37/0.72 (step @p529 :rule symm :premises (@p528)) % 0.37/0.72 (step @p530 :rule cong :premises (@p529) :args ((forall @t9 (or @t131 @t372)))) % 0.37/0.72 (step @p531 :rule trans :premises (@p530 @p524)) % 0.37/0.72 (step @p532 :rule trans :premises (@p531 @p523)) % 0.37/0.72 (step @p533 :rule bool-impl-elim :args (@t17 @t372)) % 0.37/0.72 (step @p534 :rule cong :premises (@p533) :args ((forall @t9 (=> @t17 @t372)))) % 0.37/0.72 (step @p535 :rule trans :premises (@p534 @p532)) % 0.37/0.72 (step @p536 :rule bool-impl-elim :args (@t21 @t371)) % 0.37/0.72 (step @p537 :rule cong :premises (@p536) :args ((forall @t7 (=> @t21 @t371)))) % 0.37/0.72 (step @p538 :rule nary_cong :premises (@p453 @p452) :args (@t63)) % 0.37/0.72 (step @p539 :rule refl :args (@t64)) % 0.37/0.72 (step @p540 :rule cong :premises (@p539 @p538) :args (@t65)) % 0.37/0.72 (step @p541 :rule cong :premises (@p465 @p540) :args (@t66)) % 0.37/0.72 (step @p542 :rule cong :premises (@p541) :args (@t67)) % 0.37/0.72 (step @p543 :rule trans :premises (@p542 @p537)) % 0.37/0.72 (step @p544 :rule cong :premises (@p469 @p543) :args (@t68)) % 0.37/0.72 (step @p545 :rule cong :premises (@p544) :args (@t69)) % 0.37/0.72 (step @p546 :rule trans :premises (@p545 @p535)) % 0.37/0.72 (step @p547 :rule eq_resolve :premises (@p83 @p546)) % 0.37/0.72 (step @p548 :rule refl :args (@t373)) % 0.37/0.72 (step @p549 :rule nary_cong :premises (@p548 @p488) :args (@t374)) % 0.37/0.72 (step @p550 :rule refl :args (@t337)) % 0.37/0.72 (step @p551 :rule cong :premises (@p550 @p549) :args (@t375)) % 0.37/0.72 (step @p552 :rule nary_cong :premises (@p489 @p486 @p551) :args (@t376)) % 0.37/0.72 (step @p553 :rule refl :args (@t377)) % 0.37/0.72 (step @p554 :rule cong :premises (@p553 @p552) :args ((=> @t377 @t376))) % 0.37/0.72 (assume-push @p581 @t377) % 0.37/0.72 (step @p556 :rule instantiate :premises (@p547) :args ((@list @t336 @t334))) % 0.37/0.72 (step-pop @p582 :rule scope :premises (@p556)) % 0.37/0.72 (step @p557 :rule process_scope :premises (@p582) :args (@t376)) % 0.37/0.72 (step @p559 :rule eq_resolve :premises (@p557 @p554)) % 0.37/0.72 (step @p560 :rule implies_elim :premises (@p559)) % 0.37/0.72 (step @p561 :rule chain_m_resolution :premises (@p560 @p547) :args (@t380 (@list false) (@list @t377))) % 0.37/0.72 (step @p562 :rule cnf_or_neg :args (@t345 1)) % 0.37/0.72 (step @p563 :rule chain_m_resolution :premises (@p562 @p501) :args ((not @t342) @t355 @t356)) % 0.37/0.72 (step @p564 :rule cnf_and_pos :args (@t378 1)) % 0.37/0.72 (step @p565 :rule reordering :premises (@p564) :args ((or @t342 @t381))) % 0.37/0.72 (step @p566 :rule chain_m_resolution :premises (@p565 @p563) :args (@t381 @t355 (@list @t342))) % 0.37/0.72 (step @p567 :rule bool-double-not-elim :args (@t337)) % 0.37/0.72 (step @p568 :rule nary_cong :premises (@p503 @p567) :args ((or @t345 (not @t338)))) % 0.37/0.72 (step @p569 :rule cnf_or_neg :args (@t345 4)) % 0.37/0.72 (step @p570 :rule eq_resolve :premises (@p569 @p568)) % 0.37/0.72 (step @p571 :rule reordering :premises (@p570) :args ((or @t337 @t345))) % 0.37/0.72 (step @p572 :rule chain_m_resolution :premises (@p571 @p501) :args (@t337 @t355 @t356)) % 0.37/0.72 (step @p573 :rule cnf_equiv_pos1 :args (@t379)) % 0.37/0.72 (step @p574 :rule reordering :premises (@p573) :args ((or @t338 @t378 @t382))) % 0.37/0.72 (step @p575 :rule chain_m_resolution :premises (@p574 @p572 @p566) :args (@t382 (@list false true) (@list @t337 @t378))) % 0.37/0.72 (step @p576 :rule cnf_or_pos :args (@t380)) % 0.37/0.72 (step @p577 :rule reordering :premises (@p576) :args ((or @t344 @t340 @t379 (not @t380)))) % 0.37/0.72 (step @p578 false :rule chain_m_resolution :premises (@p577 @p575 @p561 @p514 @p508) :args (false (@list true false false false) (@list @t379 @t380 @t339 @t343))) % 0.37/0.72 ) % 0.37/0.72 % SZS output end Proof % 0.37/0.72 % cvc5 exiting %------------------------------------------------------------------------------