%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC415+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 : n021.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 08:59:14 AM UTC 2026 % Result : Theorem 0.36s 0.70s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC415+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 % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:47:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.70 % SZS status Theorem % 0.36/0.70 % SZS output start Proof % 0.36/0.70 ( % 0.36/0.70 (declare-sort $$unsorted 0) % 0.36/0.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.70 (declare-const tptp.nil $$unsorted) % 0.36/0.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.36/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.70 (define @t1 () (@var "V" $$unsorted)) % 0.36/0.70 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.70 (define @t3 () (= @t2 @t1)) % 0.36/0.70 (define @t4 () (not @t3)) % 0.36/0.70 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.36/0.70 (define @t6 () (tptp.ssItem @t1)) % 0.36/0.70 (define @t7 () (@list @t1)) % 0.36/0.70 (define @t8 () (tptp.ssItem @t2)) % 0.36/0.70 (define @t9 () (@list @t2)) % 0.36/0.70 (define @t10 () (@var "X" $$unsorted)) % 0.36/0.70 (define @t11 () (tptp.cons @t1 @t10)) % 0.36/0.70 (define @t12 () (@var "W" $$unsorted)) % 0.36/0.70 (define @t13 () (tptp.ssList @t10)) % 0.36/0.70 (define @t14 () (@list @t10)) % 0.36/0.70 (define @t15 () (tptp.ssList @t12)) % 0.36/0.70 (define @t16 () (@list @t12)) % 0.36/0.70 (define @t17 () (tptp.ssList @t2)) % 0.36/0.70 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.36/0.70 (define @t19 () (tptp.app @t1 @t12)) % 0.36/0.70 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.36/0.70 (define @t21 () (tptp.ssList @t1)) % 0.36/0.70 (define @t22 () (tptp.app @t12 @t1)) % 0.36/0.70 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.36/0.70 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.36/0.70 (define @t25 () (tptp.leq @t12 @t1)) % 0.36/0.70 (define @t26 () (tptp.leq @t1 @t12)) % 0.36/0.70 (define @t27 () (@var "Z" $$unsorted)) % 0.36/0.70 (define @t28 () (@var "Y" $$unsorted)) % 0.36/0.70 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.36/0.70 (define @t30 () (tptp.ssList @t27)) % 0.36/0.70 (define @t31 () (@list @t27)) % 0.36/0.70 (define @t32 () (tptp.ssList @t28)) % 0.36/0.70 (define @t33 () (@list @t28)) % 0.36/0.70 (define @t34 () (tptp.ssItem @t12)) % 0.36/0.70 (define @t35 () (tptp.lt @t1 @t12)) % 0.36/0.70 (define @t36 () (= @t1 @t12)) % 0.36/0.70 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.36/0.70 (define @t38 () (=> @t17 @t37)) % 0.36/0.70 (define @t39 () (forall @t9 @t38)) % 0.36/0.70 (define @t40 () (tptp.cons @t1 @t2)) % 0.36/0.70 (define @t41 () (tptp.ssList tptp.nil)) % 0.36/0.70 (define @t42 () (= @t1 @t2)) % 0.36/0.70 (define @t43 () (tptp.cons @t12 @t1)) % 0.36/0.70 (define @t44 () (= tptp.nil @t2)) % 0.36/0.70 (define @t45 () (tptp.hd @t2)) % 0.36/0.70 (define @t46 () (not @t44)) % 0.36/0.70 (define @t47 () (tptp.tl @t2)) % 0.36/0.70 (define @t48 () (tptp.ssList @t47)) % 0.36/0.70 (define @t49 () (=> @t46 @t48)) % 0.36/0.70 (define @t50 () (=> @t17 @t49)) % 0.36/0.70 (define @t51 () (forall @t9 @t50)) % 0.36/0.70 (define @t52 () (tptp.app @t2 @t1)) % 0.36/0.70 (define @t53 () (tptp.app @t1 @t2)) % 0.36/0.70 (define @t54 () (tptp.leq @t1 @t2)) % 0.36/0.70 (define @t55 () (tptp.leq @t2 @t1)) % 0.36/0.70 (define @t56 () (tptp.geq @t2 @t1)) % 0.36/0.70 (define @t57 () (tptp.lt @t1 @t2)) % 0.36/0.70 (define @t58 () (tptp.lt @t2 @t1)) % 0.36/0.70 (define @t59 () (tptp.lt @t2 @t12)) % 0.36/0.70 (define @t60 () (tptp.gt @t2 @t1)) % 0.36/0.70 (define @t61 () (tptp.memberP @t12 @t2)) % 0.36/0.70 (define @t62 () (tptp.app @t12 @t2)) % 0.36/0.70 (define @t63 () (tptp.cons @t2 tptp.nil)) % 0.36/0.70 (define @t64 () (tptp.hd @t1)) % 0.36/0.70 (define @t65 () (= tptp.nil @t1)) % 0.36/0.70 (define @t66 () (not @t65)) % 0.36/0.70 (define @t67 () (tptp.cons @t2 @t1)) % 0.36/0.70 (define @t68 () (tptp.tl @t1)) % 0.36/0.70 (define @t69 () (= @t12 @t2)) % 0.36/0.70 (define @t70 () (tptp.neq @t1 tptp.nil)) % 0.36/0.70 (define @t71 () (not @t70)) % 0.36/0.70 (define @t72 () (or @t71 (tptp.neq @t10 tptp.nil))) % 0.36/0.70 (define @t73 () (tptp.neq tptp.nil @t1)) % 0.36/0.70 (define @t74 () (= @t2 @t27)) % 0.36/0.70 (define @t75 () (and @t30 (= @t68 @t27) @t74 @t73)) % 0.36/0.70 (define @t76 () (exists @t31 @t75)) % 0.36/0.70 (define @t77 () (tptp.neq tptp.nil @t10)) % 0.36/0.70 (define @t78 () (tptp.tl @t10)) % 0.36/0.70 (define @t79 () (= @t12 @t28)) % 0.36/0.70 (define @t80 () (not @t79)) % 0.36/0.70 (define @t81 () (and @t32 @t80 (= @t78 @t28) @t77)) % 0.36/0.70 (define @t82 () (exists @t33 @t81)) % 0.36/0.70 (define @t83 () (or @t71 @t82 @t76)) % 0.36/0.70 (define @t84 () (and @t83 @t72)) % 0.36/0.70 (define @t85 () (not (= @t2 @t12))) % 0.36/0.70 (define @t86 () (not (= @t1 @t10))) % 0.36/0.70 (define @t87 () (or @t86 @t85 @t84)) % 0.36/0.70 (define @t88 () (=> @t13 @t87)) % 0.36/0.70 (define @t89 () (forall @t14 @t88)) % 0.36/0.70 (define @t90 () (=> @t15 @t89)) % 0.36/0.70 (define @t91 () (forall @t16 @t90)) % 0.36/0.70 (define @t92 () (=> @t21 @t91)) % 0.36/0.70 (define @t93 () (forall @t7 @t92)) % 0.36/0.70 (define @t94 () (=> @t17 @t93)) % 0.36/0.70 (define @t95 () (forall @t9 @t94)) % 0.36/0.70 (define @t96 () (not @t95)) % 0.36/0.70 (define @t97 () (@var "BOUND_VARIABLE_11034" $$unsorted)) % 0.36/0.70 (define @t98 () (tptp.tl @t97)) % 0.36/0.70 (define @t99 () (= @t2 @t98)) % 0.36/0.70 (define @t100 () (tptp.ssList @t98)) % 0.36/0.70 (define @t101 () (tptp.neq tptp.nil @t97)) % 0.36/0.70 (define @t102 () (and @t101 @t100 (not @t99))) % 0.36/0.70 (define @t103 () (and @t101 @t100 @t99)) % 0.36/0.70 (define @t104 () (not (tptp.neq @t97 tptp.nil))) % 0.36/0.70 (define @t105 () (not (tptp.ssList @t97))) % 0.36/0.70 (define @t106 () (not @t17)) % 0.36/0.70 (define @t107 () (or @t106 @t105 @t104 @t103 @t102)) % 0.36/0.70 (define @t108 () (or @t105 @t104 @t103 @t102)) % 0.36/0.70 (define @t109 () (or @t106 @t108)) % 0.36/0.70 (define @t110 () (@list @t2 @t97)) % 0.36/0.70 (define @t111 () (forall @t110 @t109)) % 0.36/0.70 (define @t112 () (@list @t97)) % 0.36/0.70 (define @t113 () (forall @t112 @t109)) % 0.36/0.70 (define @t114 () (forall @t112 @t108)) % 0.36/0.70 (define @t115 () (@list @t1)) % 0.36/0.70 (define @t116 () (or @t106 @t114)) % 0.36/0.70 (define @t117 () (= @t2 @t68)) % 0.36/0.70 (define @t118 () (not @t117)) % 0.36/0.70 (define @t119 () (tptp.ssList @t68)) % 0.36/0.70 (define @t120 () (and @t73 @t119 @t118)) % 0.36/0.70 (define @t121 () (and @t73 @t119 @t117)) % 0.36/0.70 (define @t122 () (not @t21)) % 0.36/0.70 (define @t123 () (or @t122 @t71 @t121 @t120)) % 0.36/0.70 (define @t124 () (or @t106 (forall @t7 @t123))) % 0.36/0.70 (define @t125 () (or @t106 @t123)) % 0.36/0.70 (define @t126 () (or @t122 @t71 @t121 @t106 @t120)) % 0.36/0.70 (define @t127 () (or @t106 @t120)) % 0.36/0.70 (define @t128 () (not (= @t2 @t2))) % 0.36/0.70 (define @t129 () (or @t106 @t128 @t120)) % 0.36/0.70 (define @t130 () (and @t73 @t119 (not (= @t12 @t68)))) % 0.36/0.70 (define @t131 () (not @t15)) % 0.36/0.70 (define @t132 () (or @t85 @t131 @t85 @t130)) % 0.36/0.70 (define @t133 () (or @t131 @t85 @t130)) % 0.36/0.70 (define @t134 () (forall @t16 @t133)) % 0.36/0.70 (define @t135 () (or @t122 @t71 @t121 @t134)) % 0.36/0.70 (define @t136 () (or @t122 @t71 @t121 @t133)) % 0.36/0.70 (define @t137 () (or @t131 @t85 @t122 @t71 @t130 @t121)) % 0.36/0.70 (define @t138 () (or @t71 @t130 @t121)) % 0.36/0.70 (define @t139 () (and @t138 true)) % 0.36/0.70 (define @t140 () (or @t131 @t85 @t122 @t139)) % 0.36/0.70 (define @t141 () (and @t138 (or @t71 @t70))) % 0.36/0.70 (define @t142 () (or @t85 @t122 @t141)) % 0.36/0.70 (define @t143 () (or @t122 @t141)) % 0.36/0.70 (define @t144 () (not (= @t1 @t1))) % 0.36/0.70 (define @t145 () (or @t122 @t144 @t141)) % 0.36/0.70 (define @t146 () (= @t12 @t78)) % 0.36/0.70 (define @t147 () (not @t146)) % 0.36/0.70 (define @t148 () (tptp.ssList @t78)) % 0.36/0.70 (define @t149 () (and (or @t71 (and @t77 @t148 @t147) @t121) @t72)) % 0.36/0.70 (define @t150 () (not @t13)) % 0.36/0.70 (define @t151 () (or @t86 @t150 @t86 @t149)) % 0.36/0.70 (define @t152 () (or @t150 @t86 @t149)) % 0.36/0.70 (define @t153 () (forall @t14 @t152)) % 0.36/0.70 (define @t154 () (or @t85 @t153)) % 0.36/0.70 (define @t155 () (or @t85 @t152)) % 0.36/0.70 (define @t156 () (or @t150 @t86 @t85 @t149)) % 0.36/0.70 (define @t157 () (not @t118)) % 0.36/0.70 (define @t158 () (not @t119)) % 0.36/0.70 (define @t159 () (not @t158)) % 0.36/0.70 (define @t160 () (not @t73)) % 0.36/0.70 (define @t161 () (not @t160)) % 0.36/0.70 (define @t162 () (and @t161 @t159 @t157)) % 0.36/0.70 (define @t163 () (or @t158 @t118)) % 0.36/0.70 (define @t164 () (not @t148)) % 0.36/0.70 (define @t165 () (not @t164)) % 0.36/0.70 (define @t166 () (not @t77)) % 0.36/0.70 (define @t167 () (not @t166)) % 0.36/0.70 (define @t168 () (and @t167 @t165 @t147)) % 0.36/0.70 (define @t169 () (or @t164 @t146)) % 0.36/0.70 (define @t170 () (or @t160 @t158 @t118)) % 0.36/0.70 (define @t171 () (or @t166 @t164 @t146)) % 0.36/0.70 (define @t172 () (or @t71 (not @t171) (not @t170))) % 0.36/0.70 (define @t173 () (and @t172 @t72)) % 0.36/0.70 (define @t174 () (or @t86 @t85 @t173)) % 0.36/0.70 (define @t175 () (not (= @t68 @t68))) % 0.36/0.70 (define @t176 () (or @t158 @t175 @t118)) % 0.36/0.70 (define @t177 () (not @t74)) % 0.36/0.70 (define @t178 () (= @t27 @t68)) % 0.36/0.70 (define @t179 () (not @t178)) % 0.36/0.70 (define @t180 () (not @t30)) % 0.36/0.70 (define @t181 () (or @t179 @t180 @t179 @t177)) % 0.36/0.70 (define @t182 () (or @t180 @t179 @t177)) % 0.36/0.70 (define @t183 () (forall @t31 @t182)) % 0.36/0.70 (define @t184 () (or @t160 @t183)) % 0.36/0.70 (define @t185 () (or @t160 @t182)) % 0.36/0.70 (define @t186 () (or @t180 @t179 @t177 @t160)) % 0.36/0.70 (define @t187 () (and @t30 @t178 @t74 @t73)) % 0.36/0.70 (define @t188 () (forall @t31 (not @t187))) % 0.36/0.70 (define @t189 () (not @t188)) % 0.36/0.70 (define @t190 () (not (= @t78 @t78))) % 0.36/0.70 (define @t191 () (or @t164 @t146 @t190)) % 0.36/0.70 (define @t192 () (= @t28 @t78)) % 0.36/0.70 (define @t193 () (not @t192)) % 0.36/0.70 (define @t194 () (not @t32)) % 0.36/0.70 (define @t195 () (or @t193 @t194 @t79 @t193)) % 0.36/0.70 (define @t196 () (or @t194 @t79 @t193)) % 0.36/0.70 (define @t197 () (forall @t33 @t196)) % 0.36/0.70 (define @t198 () (or @t166 @t197)) % 0.36/0.70 (define @t199 () (or @t166 @t196)) % 0.36/0.70 (define @t200 () (or @t194 @t79 @t193 @t166)) % 0.36/0.70 (define @t201 () (not @t80)) % 0.36/0.70 (define @t202 () (or @t194 @t201 @t193 @t166)) % 0.36/0.70 (define @t203 () (and @t32 @t80 @t192 @t77)) % 0.36/0.70 (define @t204 () (forall @t33 (not @t203))) % 0.36/0.70 (define @t205 () (not @t204)) % 0.36/0.70 (define @t206 () (forall @t110 @t107)) % 0.36/0.70 (define @t207 () (@quantifiers_skolemize @t206 1)) % 0.36/0.70 (define @t208 () (tptp.tl @t207)) % 0.36/0.70 (define @t209 () (@quantifiers_skolemize @t206 0)) % 0.36/0.70 (define @t210 () (= @t209 @t208)) % 0.36/0.70 (define @t211 () (not @t210)) % 0.36/0.70 (define @t212 () (tptp.ssList @t208)) % 0.36/0.70 (define @t213 () (tptp.neq tptp.nil @t207)) % 0.36/0.70 (define @t214 () (and @t213 @t212 @t211)) % 0.36/0.70 (define @t215 () (and @t213 @t212 @t210)) % 0.36/0.70 (define @t216 () (tptp.neq @t207 tptp.nil)) % 0.36/0.70 (define @t217 () (not @t216)) % 0.36/0.70 (define @t218 () (tptp.ssList @t207)) % 0.36/0.70 (define @t219 () (not @t218)) % 0.36/0.70 (define @t220 () (or (not (tptp.ssList @t209)) @t219 @t217 @t215 @t214)) % 0.36/0.70 (define @t221 () (@list true)) % 0.36/0.70 (define @t222 () (@list @t220)) % 0.36/0.70 (define @t223 () (@var "BOUND_VARIABLE_9105" $$unsorted)) % 0.36/0.70 (define @t224 () (= (tptp.neq @t2 @t223) (not (= @t2 @t223)))) % 0.36/0.70 (define @t225 () (not (tptp.ssList @t223))) % 0.36/0.70 (define @t226 () (or @t106 @t225 @t224)) % 0.36/0.70 (define @t227 () (or @t225 @t224)) % 0.36/0.70 (define @t228 () (or @t106 @t227)) % 0.36/0.70 (define @t229 () (@list @t2 @t223)) % 0.36/0.70 (define @t230 () (forall @t229 @t228)) % 0.36/0.70 (define @t231 () (@list @t223)) % 0.36/0.70 (define @t232 () (forall @t231 @t228)) % 0.36/0.70 (define @t233 () (forall @t231 @t227)) % 0.36/0.70 (define @t234 () (or @t106 @t233)) % 0.36/0.70 (define @t235 () (forall @t7 (or @t122 @t5))) % 0.36/0.70 (define @t236 () (= tptp.nil @t207)) % 0.36/0.70 (define @t237 () (not @t236)) % 0.36/0.70 (define @t238 () (= @t213 @t237)) % 0.36/0.70 (define @t239 () (not @t41)) % 0.36/0.70 (define @t240 () (or @t239 @t219 @t238)) % 0.36/0.70 (define @t241 () (@list false false false)) % 0.36/0.70 (define @t242 () (= @t207 tptp.nil)) % 0.36/0.70 (define @t243 () (not @t242)) % 0.36/0.70 (define @t244 () (= @t216 @t243)) % 0.36/0.70 (define @t245 () (or @t219 @t239 @t244)) % 0.36/0.70 (define @t246 () (forall @t229 @t226)) % 0.36/0.70 (define @t247 () (= @t216 @t237)) % 0.36/0.70 (define @t248 () (or @t219 @t239 @t247)) % 0.36/0.70 (define @t249 () (@list false)) % 0.36/0.70 (define @t250 () (not @t238)) % 0.36/0.70 (define @t251 () (= @t2 tptp.nil)) % 0.36/0.70 (define @t252 () (or @t106 @t251 @t48)) % 0.36/0.70 (define @t253 () (not @t251)) % 0.36/0.70 (define @t254 () (=> @t253 @t48)) % 0.36/0.70 (define @t255 () (or @t219 @t242 @t212)) % 0.36/0.70 (define @t256 () (forall @t9 @t252)) % 0.36/0.70 (define @t257 () (or @t219 @t236 @t212)) % 0.36/0.70 (define @t258 () (not @t212)) % 0.36/0.70 (define @t259 () (not @t213)) % 0.36/0.70 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.36/0.70 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.36/0.70 (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))))))))))) % 0.36/0.70 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.36/0.70 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.36/0.70 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.36/0.70 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.36/0.70 (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))))))))))))))))) % 0.36/0.70 (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)))))))))))))))) % 0.36/0.70 (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))))))))))))))))) % 0.36/0.70 (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))))))))))))))) % 0.36/0.70 (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))))))))))))))) % 0.36/0.70 (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)))))))))))))))) % 0.36/0.70 (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))))))))))))) % 0.36/0.70 (assume @p15 @t39) % 0.36/0.70 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 0.36/0.70 (assume @p17 @t41) % 0.36/0.70 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 0.36/0.70 (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) @t42))))))))))) % 0.36/0.70 (assume @p20 (forall @t9 (=> @t17 (or @t44 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t43 @t2))))))))) % 0.36/0.70 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.36/0.70 (assume @p22 (forall @t9 (=> @t17 (=> @t46 (tptp.ssItem @t45))))) % 0.36/0.70 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.36/0.70 (assume @p24 @t51) % 0.36/0.70 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.36/0.70 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t52)))))) % 0.36/0.70 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t53) (tptp.app @t43 @t2))))))))) % 0.36/0.70 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.36/0.70 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t55 @t54) @t3)))))) % 0.36/0.70 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t26) (tptp.leq @t2 @t12))))))))) % 0.36/0.70 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.36/0.70 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t54)))))) % 0.36/0.70 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (not @t57))))))) % 0.36/0.70 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t58 @t35) @t59)))))))) % 0.36/0.70 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 @t57)))))) % 0.36/0.70 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t61))))))))) % 0.36/0.70 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t61))))))))) % 0.36/0.70 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.36/0.70 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.36/0.70 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.36/0.70 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.36/0.70 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.36/0.70 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.36/0.70 (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)))))))))))) % 0.36/0.70 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.36/0.70 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t44)))) % 0.36/0.70 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.36/0.70 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.36/0.70 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.36/0.70 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t62 @t1))))))))) % 0.36/0.70 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.36/0.70 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t44)))) % 0.36/0.70 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.36/0.70 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.36/0.70 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.36/0.70 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t62 @t10) @t1))))))))))) % 0.36/0.70 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.36/0.70 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t44)))) % 0.36/0.70 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t63)))) % 0.36/0.70 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.36/0.70 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t63)))) % 0.36/0.70 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.36/0.70 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t63)))) % 0.36/0.70 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.36/0.70 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t63)))) % 0.36/0.70 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.36/0.70 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t67) (or @t65 (and @t66 (tptp.totalorderedP @t1) (tptp.leq @t2 @t64))))))))) % 0.36/0.70 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t63)))) % 0.36/0.70 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.36/0.70 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t67) (or @t65 (and @t66 (tptp.strictorderedP @t1) (tptp.lt @t2 @t64))))))))) % 0.36/0.70 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t63)))) % 0.36/0.70 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.36/0.70 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t63)))) % 0.36/0.70 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.36/0.70 (assume @p75 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t6 (= @t45 @t1))))))) % 0.36/0.70 (assume @p76 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t21 (= @t47 @t1))))))) % 0.36/0.70 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t66 @t46 (= @t64 @t45) (= @t68 @t47)) @t42)))))) % 0.36/0.70 (assume @p78 (forall @t9 (=> @t17 (=> @t46 (= (tptp.cons @t45 @t47) @t2))))) % 0.36/0.70 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t52) @t69)))))))) % 0.36/0.70 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t53) @t69)))))))) % 0.36/0.70 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.36/0.70 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t52 @t12) (tptp.app @t2 @t19))))))))) % 0.36/0.70 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t52) (and @t65 @t44))))))) % 0.36/0.71 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.36/0.71 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.hd @t52) @t45))))))) % 0.36/0.71 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.tl @t52) (tptp.app @t47 @t1)))))))) % 0.36/0.71 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t56 (tptp.geq @t1 @t2)) @t3)))))) % 0.36/0.71 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.36/0.71 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.36/0.71 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.36/0.71 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t59)))))))) % 0.36/0.71 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (or @t3 @t58))))))) % 0.36/0.71 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 (and @t4 @t55))))))) % 0.36/0.71 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (not (tptp.gt @t1 @t2)))))))) % 0.36/0.71 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.36/0.71 (assume @p96 @t96) % 0.36/0.71 (assume @p97 true) % 0.36/0.71 (step @p98 :rule aci_norm :args ((= @t109 @t107))) % 0.36/0.71 (step @p99 :rule cong :premises (@p98) :args (@t111)) % 0.36/0.71 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t113) @t111))) % 0.36/0.71 (step @p101 :rule alpha_equiv :args (@t114 (@list @t97) @t115)) % 0.36/0.71 (step @p102 :rule refl :args (@t106)) % 0.36/0.71 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t116)) % 0.36/0.71 (step @p104 :rule quant-miniscope-or :args ((= @t113 @t116))) % 0.36/0.71 (step @p105 :rule trans :premises (@p104 @p103)) % 0.36/0.71 (step @p106 :rule symm :premises (@p105)) % 0.36/0.71 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 @t124))) % 0.36/0.71 (step @p108 :rule trans :premises (@p107 @p100)) % 0.36/0.71 (step @p109 :rule trans :premises (@p108 @p99)) % 0.36/0.71 (step @p110 :rule aci_norm :args ((= (or @t106 @t124) @t124))) % 0.36/0.71 (step @p111 :rule bool-impl-elim :args (@t17 @t124)) % 0.36/0.71 (step @p112 :rule trans :premises (@p111 @p110)) % 0.36/0.71 (step @p113 :rule cong :premises (@p112) :args ((forall @t9 (=> @t17 @t124)))) % 0.36/0.71 (step @p114 :rule trans :premises (@p113 @p109)) % 0.36/0.71 (step @p115 :rule quant-miniscope-or :args ((= (forall @t7 @t125) @t124))) % 0.36/0.71 (step @p116 :rule aci_norm :args ((= @t126 @t125))) % 0.36/0.71 (step @p117 :rule cong :premises (@p116) :args ((forall @t7 @t126))) % 0.36/0.71 (step @p118 :rule trans :premises (@p117 @p115)) % 0.36/0.71 (step @p119 :rule aci_norm :args ((= (or @t122 @t126) @t126))) % 0.36/0.71 (step @p120 :rule bool-impl-elim :args (@t21 @t126)) % 0.36/0.71 (step @p121 :rule trans :premises (@p120 @p119)) % 0.36/0.71 (step @p122 :rule cong :premises (@p121) :args ((forall @t7 (=> @t21 @t126)))) % 0.36/0.71 (step @p123 :rule trans :premises (@p122 @p118)) % 0.36/0.71 (step @p124 :rule aci_norm :args ((= (or @t122 @t71 @t121 @t127) @t126))) % 0.36/0.71 (step @p125 :rule aci_norm :args ((= (or @t106 false @t120) @t127))) % 0.36/0.71 (step @p126 :rule refl :args (@t120)) % 0.36/0.71 (step @p127 :rule evaluate :args ((not true))) % 0.36/0.71 (step @p128 :rule eq-refl :args (@t2)) % 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@p380) :args (@t238 @t241 (@list @t41 @t218 @t240))) % 0.36/0.71 (step @p391 :rule eq-symm :args (@t207 tptp.nil)) % 0.36/0.71 (step @p392 :rule cong :premises (@p391) :args (@t243)) % 0.36/0.71 (step @p393 :rule refl :args (@t216)) % 0.36/0.71 (step @p394 :rule cong :premises (@p393 @p392) :args (@t244)) % 0.36/0.71 (step @p395 :rule refl :args (@t239)) % 0.36/0.71 (step @p396 :rule refl :args (@t219)) % 0.36/0.71 (step @p397 :rule nary_cong :premises (@p396 @p395 @p394) :args (@t245)) % 0.36/0.71 (step @p398 :rule refl :args (@t246)) % 0.36/0.71 (step @p399 :rule cong :premises (@p398 @p397) :args ((=> @t246 @t245))) % 0.36/0.71 (assume-push @p474 @t246) % 0.36/0.71 (step @p401 :rule instantiate :premises (@p379) :args ((@list @t207 tptp.nil))) % 0.36/0.71 (step-pop @p475 :rule scope :premises (@p401)) % 0.36/0.71 (step @p402 :rule process_scope :premises (@p475) :args (@t245)) % 0.36/0.71 (step @p404 :rule eq_resolve :premises (@p402 @p399)) % 0.36/0.71 (step @p405 :rule implies_elim :premises (@p404)) % 0.36/0.71 (step @p406 :rule chain_m_resolution :premises (@p405 @p379) :args (@t248 @t249 (@list @t246))) % 0.36/0.71 (step @p407 :rule cnf_or_pos :args (@t248)) % 0.36/0.71 (step @p408 :rule reordering :premises (@p407) :args ((or @t239 @t219 @t247 (not @t248)))) % 0.36/0.71 (step @p409 :rule chain_m_resolution :premises (@p408 @p17 @p387 @p406) :args (@t247 @t241 (@list @t41 @t218 @t248))) % 0.36/0.71 (step @p410 :rule bool-double-not-elim :args (@t216)) % 0.36/0.71 (step @p411 :rule nary_cong :premises (@p382 @p410) :args ((or @t220 (not @t217)))) % 0.36/0.71 (step @p412 :rule cnf_or_neg :args (@t220 2)) % 0.36/0.71 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 0.36/0.71 (step @p414 :rule reordering :premises (@p413) :args ((or @t216 @t220))) % 0.36/0.71 (step @p415 :rule chain_m_resolution :premises (@p414 @p357) :args (@t216 @t221 @t222)) % 0.36/0.71 (step @p416 :rule cnf_equiv_pos1 :args (@t247)) % 0.36/0.71 (step @p417 :rule reordering :premises (@p416) :args ((or @t217 @t237 (not @t247)))) % 0.36/0.71 (step @p418 :rule chain_m_resolution :premises (@p417 @p415 @p409) :args (@t237 (@list false false) (@list @t216 @t247))) % 0.36/0.71 (step @p419 :rule bool-double-not-elim :args (@t236)) % 0.36/0.71 (step @p420 :rule refl :args (@t213)) % 0.36/0.71 (step @p421 :rule refl :args (@t250)) % 0.36/0.71 (step @p422 :rule nary_cong :premises (@p421 @p420 @p419) :args ((or @t250 @t213 (not @t237)))) % 0.36/0.71 (step @p423 :rule cnf_equiv_pos2 :args (@t238)) % 0.36/0.71 (step @p424 :rule eq_resolve :premises (@p423 @p422)) % 0.36/0.71 (step @p425 :rule reordering :premises (@p424) :args ((or @t213 @t236 @t250))) % 0.36/0.71 (step @p426 :rule chain_m_resolution :premises (@p425 @p418 @p390) :args (@t213 (@list true false) (@list @t236 @t238))) % 0.36/0.71 (step @p427 :rule aci_norm :args ((= (or @t106 (or @t251 @t48)) @t252))) % 0.36/0.71 (step @p428 :rule refl :args (@t48)) % 0.36/0.71 (step @p429 :rule bool-double-not-elim :args (@t251)) % 0.36/0.71 (step @p430 :rule nary_cong :premises (@p429 @p428) :args ((or (not @t253) @t48))) % 0.36/0.71 (step @p431 :rule bool-impl-elim :args (@t253 @t48)) % 0.36/0.71 (step @p432 :rule trans :premises (@p431 @p430)) % 0.36/0.71 (step @p433 :rule nary_cong :premises (@p102 @p432) :args ((or @t106 @t254))) % 0.36/0.71 (step @p434 :rule trans :premises (@p433 @p427)) % 0.36/0.71 (step @p435 :rule bool-impl-elim :args (@t17 @t254)) % 0.36/0.71 (step @p436 :rule trans :premises (@p435 @p434)) % 0.36/0.71 (step @p437 :rule cong :premises (@p436) :args ((forall @t9 (=> @t17 @t254)))) % 0.36/0.71 (step @p438 :rule refl :args (@t48)) % 0.36/0.71 (step @p439 :rule eq-symm :args (tptp.nil @t2)) % 0.36/0.71 (step @p440 :rule cong :premises (@p439) :args (@t46)) % 0.36/0.71 (step @p441 :rule cong :premises (@p440 @p438) :args (@t49)) % 0.36/0.71 (step @p442 :rule cong :premises (@p351 @p441) :args (@t50)) % 0.36/0.71 (step @p443 :rule cong :premises (@p442) :args (@t51)) % 0.36/0.71 (step @p444 :rule trans :premises (@p443 @p437)) % 0.36/0.71 (step @p445 :rule eq_resolve :premises (@p24 @p444)) % 0.36/0.71 (step @p446 :rule refl :args (@t212)) % 0.36/0.71 (step @p447 :rule nary_cong :premises (@p396 @p391 @p446) :args (@t255)) % 0.36/0.71 (step @p448 :rule refl :args (@t256)) % 0.36/0.71 (step @p449 :rule cong :premises (@p448 @p447) :args ((=> @t256 @t255))) % 0.36/0.71 (assume-push @p476 @t256) % 0.36/0.71 (step @p451 :rule instantiate :premises (@p445) :args ((@list @t207))) % 0.36/0.71 (step-pop @p477 :rule scope :premises (@p451)) % 0.36/0.71 (step @p452 :rule process_scope :premises (@p477) :args (@t255)) % 0.36/0.71 (step @p454 :rule eq_resolve :premises (@p452 @p449)) % 0.36/0.71 (step @p455 :rule implies_elim :premises (@p454)) % 0.36/0.71 (step @p456 :rule chain_m_resolution :premises (@p455 @p445) :args (@t257 @t249 (@list @t256))) % 0.36/0.71 (step @p457 :rule cnf_or_pos :args (@t257)) % 0.36/0.71 (step @p458 :rule reordering :premises (@p457) :args ((or @t219 @t212 @t236 (not @t257)))) % 0.36/0.71 (step @p459 :rule chain_m_resolution :premises (@p458 @p387 @p418 @p456) :args (@t212 (@list false true false) (@list @t218 @t236 @t257))) % 0.36/0.71 (step @p460 :rule cnf_or_neg :args (@t220 3)) % 0.36/0.71 (step @p461 :rule chain_m_resolution :premises (@p460 @p357) :args ((not @t215) @t221 @t222)) % 0.36/0.71 (step @p462 :rule cnf_and_neg :args (@t215)) % 0.36/0.71 (step @p463 :rule reordering :premises (@p462) :args ((or @t215 @t211 @t259 @t258))) % 0.36/0.71 (step @p464 :rule chain_m_resolution :premises (@p463 @p461 @p426 @p459) :args (@t211 (@list true false false) (@list @t215 @t213 @t212))) % 0.36/0.71 (step @p465 :rule bool-double-not-elim :args (@t210)) % 0.36/0.71 (step @p466 :rule refl :args (@t258)) % 0.36/0.71 (step @p467 :rule refl :args (@t259)) % 0.36/0.71 (step @p468 :rule refl :args (@t214)) % 0.36/0.71 (step @p469 :rule nary_cong :premises (@p468 @p467 @p466 @p465) :args ((or @t214 @t259 @t258 (not @t211)))) % 0.36/0.71 (step @p470 :rule cnf_and_neg :args (@t214)) % 0.36/0.71 (step @p471 :rule eq_resolve :premises (@p470 @p469)) % 0.36/0.71 (step @p472 :rule reordering :premises (@p471) :args ((or @t210 @t214 @t259 @t258))) % 0.36/0.71 (step @p473 false :rule chain_m_resolution :premises (@p472 @p464 @p459 @p426 @p359) :args (false (@list true false false true) (@list @t210 @t212 @t213 @t214))) % 0.36/0.71 ) % 0.36/0.71 % SZS output end Proof % 0.36/0.71 % cvc5 exiting %------------------------------------------------------------------------------