%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC048+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:50 AM UTC 2026 % Result : Theorem 0.37s 0.71s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC048+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 19:11:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.71 % SZS status Theorem % 0.37/0.71 % SZS output start Proof % 0.37/0.71 ( % 0.37/0.71 (declare-sort $$unsorted 0) % 0.37/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.nil $$unsorted) % 0.37/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.71 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.71 (define @t3 () (= @t2 @t1)) % 0.37/0.71 (define @t4 () (not @t3)) % 0.37/0.71 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.71 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.71 (define @t7 () (@list @t1)) % 0.37/0.71 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.71 (define @t9 () (@list @t2)) % 0.37/0.71 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.71 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.71 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.71 (define @t13 () (tptp.ssList @t10)) % 0.37/0.71 (define @t14 () (@list @t10)) % 0.37/0.71 (define @t15 () (tptp.ssList @t12)) % 0.37/0.71 (define @t16 () (@list @t12)) % 0.37/0.71 (define @t17 () (tptp.ssList @t2)) % 0.37/0.71 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.71 (define @t19 () (tptp.app @t1 @t12)) % 0.37/0.71 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.37/0.71 (define @t21 () (tptp.ssList @t1)) % 0.37/0.71 (define @t22 () (tptp.app @t12 @t1)) % 0.37/0.71 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.37/0.71 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.37/0.71 (define @t25 () (tptp.leq @t12 @t1)) % 0.37/0.71 (define @t26 () (tptp.leq @t1 @t12)) % 0.37/0.71 (define @t27 () (@var "Z" $$unsorted)) % 0.37/0.71 (define @t28 () (@var "Y" $$unsorted)) % 0.37/0.71 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.37/0.71 (define @t30 () (tptp.ssList @t27)) % 0.37/0.71 (define @t31 () (@list @t27)) % 0.37/0.71 (define @t32 () (tptp.ssList @t28)) % 0.37/0.71 (define @t33 () (@list @t28)) % 0.37/0.71 (define @t34 () (tptp.ssItem @t12)) % 0.37/0.71 (define @t35 () (tptp.lt @t1 @t12)) % 0.37/0.71 (define @t36 () (= @t1 @t12)) % 0.37/0.71 (define @t37 () (tptp.cons @t1 @t2)) % 0.37/0.71 (define @t38 () (= @t1 @t2)) % 0.37/0.71 (define @t39 () (tptp.cons @t12 @t1)) % 0.37/0.71 (define @t40 () (= tptp.nil @t2)) % 0.37/0.71 (define @t41 () (tptp.hd @t2)) % 0.37/0.71 (define @t42 () (not @t40)) % 0.37/0.71 (define @t43 () (tptp.tl @t2)) % 0.37/0.71 (define @t44 () (tptp.app @t2 @t1)) % 0.37/0.71 (define @t45 () (tptp.app @t1 @t2)) % 0.37/0.71 (define @t46 () (tptp.app tptp.nil @t2)) % 0.37/0.71 (define @t47 () (=> @t17 (= @t46 @t2))) % 0.37/0.71 (define @t48 () (forall @t9 @t47)) % 0.37/0.71 (define @t49 () (tptp.leq @t1 @t2)) % 0.37/0.71 (define @t50 () (tptp.leq @t2 @t1)) % 0.37/0.71 (define @t51 () (tptp.geq @t2 @t1)) % 0.37/0.71 (define @t52 () (tptp.lt @t1 @t2)) % 0.37/0.71 (define @t53 () (tptp.lt @t2 @t1)) % 0.37/0.71 (define @t54 () (tptp.lt @t2 @t12)) % 0.37/0.71 (define @t55 () (tptp.gt @t2 @t1)) % 0.37/0.71 (define @t56 () (tptp.memberP @t12 @t2)) % 0.37/0.71 (define @t57 () (tptp.rearsegP @t1 @t12)) % 0.37/0.71 (define @t58 () (tptp.rearsegP @t1 @t2)) % 0.37/0.71 (define @t59 () (and @t23 @t58)) % 0.37/0.71 (define @t60 () (=> @t59 @t3)) % 0.37/0.71 (define @t61 () (forall @t7 (=> @t21 @t60))) % 0.37/0.71 (define @t62 () (=> @t17 @t61)) % 0.37/0.71 (define @t63 () (forall @t9 @t62)) % 0.37/0.71 (define @t64 () (tptp.rearsegP @t2 @t2)) % 0.37/0.71 (define @t65 () (forall @t9 (=> @t17 @t64))) % 0.37/0.71 (define @t66 () (tptp.app @t12 @t2)) % 0.37/0.71 (define @t67 () (tptp.rearsegP @t2 tptp.nil)) % 0.37/0.71 (define @t68 () (forall @t9 (=> @t17 @t67))) % 0.37/0.71 (define @t69 () (tptp.cons @t2 tptp.nil)) % 0.37/0.71 (define @t70 () (tptp.hd @t1)) % 0.37/0.71 (define @t71 () (= tptp.nil @t1)) % 0.37/0.71 (define @t72 () (not @t71)) % 0.37/0.71 (define @t73 () (tptp.cons @t2 @t1)) % 0.37/0.71 (define @t74 () (= @t12 @t2)) % 0.37/0.71 (define @t75 () (not (tptp.neq @t12 tptp.nil))) % 0.37/0.71 (define @t76 () (or @t75 (not (tptp.rearsegP @t10 @t12)))) % 0.37/0.71 (define @t77 () (not (= tptp.nil @t12))) % 0.37/0.71 (define @t78 () (not (= tptp.nil @t10))) % 0.37/0.71 (define @t79 () (or @t78 @t77)) % 0.37/0.71 (define @t80 () (and @t79 @t76)) % 0.37/0.71 (define @t81 () (tptp.rearsegP @t2 @t28)) % 0.37/0.71 (define @t82 () (tptp.rearsegP @t1 @t28)) % 0.37/0.71 (define @t83 () (tptp.neq @t28 tptp.nil)) % 0.37/0.71 (define @t84 () (and @t32 @t83 @t82 @t81)) % 0.37/0.71 (define @t85 () (exists @t33 @t84)) % 0.37/0.71 (define @t86 () (not (tptp.neq @t1 tptp.nil))) % 0.37/0.71 (define @t87 () (or @t86 @t85)) % 0.37/0.71 (define @t88 () (or @t72 @t40)) % 0.37/0.71 (define @t89 () (and @t88 @t87)) % 0.37/0.71 (define @t90 () (not (= @t2 @t12))) % 0.37/0.71 (define @t91 () (not (= @t1 @t10))) % 0.37/0.71 (define @t92 () (or @t91 @t90 @t89 @t80)) % 0.37/0.71 (define @t93 () (=> @t13 @t92)) % 0.37/0.71 (define @t94 () (forall @t14 @t93)) % 0.37/0.71 (define @t95 () (=> @t15 @t94)) % 0.37/0.71 (define @t96 () (forall @t16 @t95)) % 0.37/0.71 (define @t97 () (=> @t21 @t96)) % 0.37/0.71 (define @t98 () (forall @t7 @t97)) % 0.37/0.71 (define @t99 () (=> @t17 @t98)) % 0.37/0.71 (define @t100 () (forall @t9 @t99)) % 0.37/0.71 (define @t101 () (not @t100)) % 0.37/0.71 (define @t102 () (= @t2 @t46)) % 0.37/0.71 (define @t103 () (@var "BOUND_VARIABLE_10994" $$unsorted)) % 0.37/0.71 (define @t104 () (not (tptp.neq @t2 tptp.nil))) % 0.37/0.71 (define @t105 () (or @t104 (not (tptp.rearsegP @t103 @t2)))) % 0.37/0.71 (define @t106 () (= @t2 tptp.nil)) % 0.37/0.71 (define @t107 () (not @t106)) % 0.37/0.71 (define @t108 () (not (= tptp.nil @t103))) % 0.37/0.71 (define @t109 () (not @t81)) % 0.37/0.71 (define @t110 () (not @t83)) % 0.37/0.71 (define @t111 () (not @t32)) % 0.37/0.71 (define @t112 () (or (not (tptp.neq @t103 tptp.nil)) (not (forall @t33 (or @t111 @t110 (not (tptp.rearsegP @t103 @t28)) @t109))))) % 0.37/0.71 (define @t113 () (not (tptp.ssList @t103))) % 0.37/0.71 (define @t114 () (not @t17)) % 0.37/0.71 (define @t115 () (@list @t2 @t103)) % 0.37/0.71 (define @t116 () (forall @t115 (or @t114 @t113 (and (or @t108 @t106) @t112) (and (or @t108 @t107) @t105)))) % 0.37/0.71 (define @t117 () (@quantifiers_skolemize @t116 1)) % 0.37/0.71 (define @t118 () (@list @t117)) % 0.37/0.71 (define @t119 () (not (= @t103 tptp.nil))) % 0.37/0.71 (define @t120 () (or @t119 @t107)) % 0.37/0.71 (define @t121 () (and @t120 @t105)) % 0.37/0.71 (define @t122 () (or @t119 @t106)) % 0.37/0.71 (define @t123 () (and @t122 @t112)) % 0.37/0.71 (define @t124 () (or @t114 @t113 @t123 @t121)) % 0.37/0.71 (define @t125 () (or @t113 @t123 @t121)) % 0.37/0.71 (define @t126 () (or @t114 @t125)) % 0.37/0.71 (define @t127 () (forall @t115 @t126)) % 0.37/0.71 (define @t128 () (@list @t103)) % 0.37/0.71 (define @t129 () (forall @t128 @t126)) % 0.37/0.71 (define @t130 () (forall @t128 @t125)) % 0.37/0.71 (define @t131 () (@list @t1)) % 0.37/0.71 (define @t132 () (or @t114 @t130)) % 0.37/0.71 (define @t133 () (not @t58)) % 0.37/0.71 (define @t134 () (not (= @t1 tptp.nil))) % 0.37/0.71 (define @t135 () (and (or @t134 @t107) (or @t104 @t133))) % 0.37/0.71 (define @t136 () (not @t82)) % 0.37/0.71 (define @t137 () (or @t111 @t110 @t136 @t109)) % 0.37/0.71 (define @t138 () (and (or @t134 @t106) (or @t86 (not (forall @t33 @t137))))) % 0.37/0.71 (define @t139 () (not @t21)) % 0.37/0.71 (define @t140 () (or @t139 @t138 @t135)) % 0.37/0.71 (define @t141 () (or @t114 (forall @t7 @t140))) % 0.37/0.71 (define @t142 () (or @t114 @t140)) % 0.37/0.71 (define @t143 () (or @t139 @t138 @t114 @t135)) % 0.37/0.71 (define @t144 () (or @t138 @t139 @t114 @t135)) % 0.37/0.71 (define @t145 () (or @t114 @t135)) % 0.37/0.71 (define @t146 () (not (= @t2 @t2))) % 0.37/0.71 (define @t147 () (or @t114 @t146 @t135)) % 0.37/0.71 (define @t148 () (not (= @t12 tptp.nil))) % 0.37/0.71 (define @t149 () (and (or @t134 @t148) (or @t75 (not @t57)))) % 0.37/0.71 (define @t150 () (not @t15)) % 0.37/0.71 (define @t151 () (or @t90 @t150 @t90 @t149)) % 0.37/0.71 (define @t152 () (or @t150 @t90 @t149)) % 0.37/0.71 (define @t153 () (forall @t16 @t152)) % 0.37/0.71 (define @t154 () (or @t138 @t139 @t153)) % 0.37/0.71 (define @t155 () (or @t138 @t139 @t152)) % 0.37/0.71 (define @t156 () (or @t150 @t90 @t138 @t139 @t149)) % 0.37/0.71 (define @t157 () (or @t90 @t138 @t139 @t149)) % 0.37/0.71 (define @t158 () (or @t139 @t149)) % 0.37/0.71 (define @t159 () (not (= @t1 @t1))) % 0.37/0.71 (define @t160 () (or @t139 @t159 @t149)) % 0.37/0.71 (define @t161 () (and (or (not (= @t10 tptp.nil)) @t148) @t76)) % 0.37/0.71 (define @t162 () (not @t13)) % 0.37/0.71 (define @t163 () (or @t91 @t162 @t91 @t161)) % 0.37/0.71 (define @t164 () (or @t162 @t91 @t161)) % 0.37/0.71 (define @t165 () (forall @t14 @t164)) % 0.37/0.71 (define @t166 () (or @t90 @t138 @t165)) % 0.37/0.71 (define @t167 () (or @t90 @t138 @t164)) % 0.37/0.71 (define @t168 () (or @t162 @t91 @t90 @t138 @t161)) % 0.37/0.71 (define @t169 () (or @t91 @t90 @t138 @t161)) % 0.37/0.71 (define @t170 () (forall @t33 (not @t84))) % 0.37/0.71 (define @t171 () (not @t170)) % 0.37/0.71 (define @t172 () (@quantifiers_skolemize @t116 0)) % 0.37/0.71 (define @t173 () (tptp.rearsegP @t117 @t172)) % 0.37/0.71 (define @t174 () (not @t173)) % 0.37/0.71 (define @t175 () (tptp.neq @t172 tptp.nil)) % 0.37/0.71 (define @t176 () (not @t175)) % 0.37/0.71 (define @t177 () (or @t176 @t174)) % 0.37/0.71 (define @t178 () (= tptp.nil @t172)) % 0.37/0.71 (define @t179 () (not @t178)) % 0.37/0.71 (define @t180 () (= tptp.nil @t117)) % 0.37/0.71 (define @t181 () (not @t180)) % 0.37/0.71 (define @t182 () (or @t181 @t179)) % 0.37/0.71 (define @t183 () (and @t182 @t177)) % 0.37/0.71 (define @t184 () (forall @t33 (or @t111 @t110 (not (tptp.rearsegP @t117 @t28)) (not (tptp.rearsegP @t172 @t28))))) % 0.37/0.71 (define @t185 () (not @t184)) % 0.37/0.71 (define @t186 () (tptp.neq @t117 tptp.nil)) % 0.37/0.71 (define @t187 () (not @t186)) % 0.37/0.71 (define @t188 () (or @t187 @t185)) % 0.37/0.71 (define @t189 () (or @t181 @t178)) % 0.37/0.71 (define @t190 () (and @t189 @t188)) % 0.37/0.71 (define @t191 () (tptp.ssList @t117)) % 0.37/0.71 (define @t192 () (not @t191)) % 0.37/0.71 (define @t193 () (tptp.ssList @t172)) % 0.37/0.71 (define @t194 () (not @t193)) % 0.37/0.71 (define @t195 () (or @t194 @t192 @t190 @t183)) % 0.37/0.71 (define @t196 () (not @t195)) % 0.37/0.71 (define @t197 () (not @t116)) % 0.37/0.71 (define @t198 () (= @t172 tptp.nil)) % 0.37/0.71 (define @t199 () (not @t198)) % 0.37/0.71 (define @t200 () (or @t181 @t199)) % 0.37/0.71 (define @t201 () (and @t200 @t177)) % 0.37/0.71 (define @t202 () (or @t181 @t198)) % 0.37/0.71 (define @t203 () (and @t202 @t188)) % 0.37/0.71 (define @t204 () (or @t194 @t192 @t203 @t201)) % 0.37/0.71 (define @t205 () (not @t204)) % 0.37/0.71 (define @t206 () (@list true)) % 0.37/0.71 (define @t207 () (@list @t195)) % 0.37/0.71 (define @t208 () (= @t117 (tptp.app tptp.nil @t117))) % 0.37/0.71 (define @t209 () (or @t192 @t208)) % 0.37/0.71 (define @t210 () (@list false false)) % 0.37/0.71 (define @t211 () (not @t181)) % 0.37/0.71 (define @t212 () (@list @t172)) % 0.37/0.71 (define @t213 () (tptp.rearsegP @t172 @t172)) % 0.37/0.71 (define @t214 () (not @t213)) % 0.37/0.71 (define @t215 () (or @t194 @t176 @t174 @t214)) % 0.37/0.71 (define @t216 () (or @t194 @t213)) % 0.37/0.71 (define @t217 () (tptp.rearsegP @t172 tptp.nil)) % 0.37/0.71 (define @t218 () (or @t194 @t217)) % 0.37/0.71 (define @t219 () (tptp.rearsegP @t172 @t117)) % 0.37/0.71 (define @t220 () (and @t180 @t217)) % 0.37/0.71 (define @t221 () (tptp.rearsegP @t117 @t117)) % 0.37/0.71 (define @t222 () (or @t192 @t221)) % 0.37/0.71 (define @t223 () (not @t219)) % 0.37/0.71 (define @t224 () (not @t221)) % 0.37/0.71 (define @t225 () (or @t192 @t187 @t224 @t223)) % 0.37/0.71 (define @t226 () (@list true false)) % 0.37/0.71 (define @t227 () (@var "BOUND_VARIABLE_10001" $$unsorted)) % 0.37/0.71 (define @t228 () (= @t2 @t227)) % 0.37/0.71 (define @t229 () (not (tptp.rearsegP @t227 @t2))) % 0.37/0.71 (define @t230 () (not (tptp.rearsegP @t2 @t227))) % 0.37/0.71 (define @t231 () (not (tptp.ssList @t227))) % 0.37/0.71 (define @t232 () (or @t114 @t231 @t230 @t229 @t228)) % 0.37/0.71 (define @t233 () (or @t231 @t230 @t229 @t228)) % 0.37/0.71 (define @t234 () (or @t114 @t233)) % 0.37/0.71 (define @t235 () (@list @t2 @t227)) % 0.37/0.71 (define @t236 () (forall @t235 @t234)) % 0.37/0.71 (define @t237 () (@list @t227)) % 0.37/0.71 (define @t238 () (forall @t237 @t234)) % 0.37/0.71 (define @t239 () (forall @t237 @t233)) % 0.37/0.71 (define @t240 () (or @t114 @t239)) % 0.37/0.71 (define @t241 () (not @t23)) % 0.37/0.71 (define @t242 () (or @t139 @t241 @t133 @t3)) % 0.37/0.71 (define @t243 () (forall @t7 @t242)) % 0.37/0.71 (define @t244 () (or @t241 @t133 @t3)) % 0.37/0.71 (define @t245 () (or @t192 @t194 @t174 @t223 (= @t117 @t172))) % 0.37/0.71 (define @t246 () (forall @t235 @t232)) % 0.37/0.71 (define @t247 () (= @t172 @t117)) % 0.37/0.71 (define @t248 () (or @t192 @t194 @t174 @t223 @t247)) % 0.37/0.71 (define @t249 () (not @t179)) % 0.37/0.71 (define @t250 () (not @t247)) % 0.37/0.71 (define @t251 () (not @t208)) % 0.37/0.71 (define @t252 () (and @t208 @t180 @t247 @t179)) % 0.37/0.71 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.71 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.71 (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))))))))))) % 0.37/0.71 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.71 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.37/0.71 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.37/0.71 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.37/0.71 (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))))))))))))))))) % 0.37/0.71 (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)))))))))))))))) % 0.37/0.71 (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))))))))))))))))) % 0.37/0.71 (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))))))))))))))) % 0.37/0.71 (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))))))))))))))) % 0.37/0.71 (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)))))))))))))))) % 0.37/0.71 (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))))))))))))) % 0.37/0.71 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.37/0.71 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.37/0.71 (assume @p17 (tptp.ssList tptp.nil)) % 0.37/0.71 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.37/0.71 (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) @t38))))))))))) % 0.37/0.71 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.37/0.71 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.37/0.71 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.37/0.71 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.37/0.71 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.37/0.71 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.37/0.71 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.37/0.71 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.37/0.71 (assume @p28 @t48) % 0.37/0.71 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t50 @t49) @t3)))))) % 0.37/0.71 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t26) (tptp.leq @t2 @t12))))))))) % 0.37/0.71 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.71 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t51 @t49)))))) % 0.37/0.71 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t53 (not @t52))))))) % 0.37/0.71 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 @t35) @t54)))))))) % 0.37/0.71 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 @t52)))))) % 0.37/0.71 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t56))))))))) % 0.37/0.71 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t56))))))))) % 0.37/0.71 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.37/0.71 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.37/0.71 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.37/0.71 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.37/0.71 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.37/0.71 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.37/0.71 (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)))))))))))) % 0.37/0.71 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.71 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.37/0.71 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 @t57) (tptp.rearsegP @t2 @t12))))))))) % 0.37/0.71 (assume @p48 @t63) % 0.37/0.71 (assume @p49 @t65) % 0.37/0.71 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t66 @t1))))))))) % 0.37/0.71 (assume @p51 @t68) % 0.37/0.71 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.37/0.71 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.37/0.71 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.37/0.71 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.37/0.71 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t66 @t10) @t1))))))))))) % 0.37/0.71 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.71 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.37/0.71 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t69)))) % 0.37/0.71 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.37/0.71 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t69)))) % 0.37/0.71 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.37/0.71 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t69)))) % 0.37/0.71 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.37/0.71 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t69)))) % 0.37/0.71 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.37/0.71 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t73) (or @t71 (and @t72 (tptp.totalorderedP @t1) (tptp.leq @t2 @t70))))))))) % 0.37/0.71 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t69)))) % 0.37/0.71 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.37/0.71 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t73) (or @t71 (and @t72 (tptp.strictorderedP @t1) (tptp.lt @t2 @t70))))))))) % 0.37/0.71 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t69)))) % 0.37/0.71 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.71 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t69)))) % 0.37/0.71 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.37/0.71 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.37/0.71 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.37/0.71 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t72 @t42 (= @t70 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.37/0.71 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.37/0.71 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t74)))))))) % 0.37/0.71 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t74)))))))) % 0.37/0.71 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.37/0.71 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.37/0.71 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t71 @t40))))))) % 0.37/0.71 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.71 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.37/0.71 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.37/0.71 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t51 (tptp.geq @t1 @t2)) @t3)))))) % 0.37/0.71 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.37/0.71 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.37/0.71 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.37/0.71 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t54)))))))) % 0.37/0.71 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (or @t3 @t53))))))) % 0.37/0.71 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 (and @t4 @t50))))))) % 0.37/0.71 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.71 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.71 (assume @p96 @t101) % 0.37/0.71 (assume @p97 true) % 0.37/0.71 (step @p98 :rule bool-impl-elim :args (@t17 @t102)) % 0.37/0.71 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t102)))) % 0.37/0.71 (step @p100 :rule eq-symm :args (@t46 @t2)) % 0.37/0.71 (step @p101 :rule refl :args (@t17)) % 0.37/0.71 (step @p102 :rule cong :premises (@p101 @p100) :args (@t47)) % 0.37/0.71 (step @p103 :rule cong :premises (@p102) :args (@t48)) % 0.37/0.71 (step @p104 :rule trans :premises (@p103 @p99)) % 0.37/0.71 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 0.37/0.71 (step @p106 :rule instantiate :premises (@p105) :args (@t118)) % 0.37/0.71 (step @p107 :rule refl :args (@t105)) % 0.37/0.71 (step @p108 :rule refl :args (@t107)) % 0.37/0.71 (step @p109 :rule eq-symm :args (@t103 tptp.nil)) % 0.37/0.71 (step @p110 :rule cong :premises (@p109) :args (@t119)) % 0.37/0.71 (step @p111 :rule nary_cong :premises (@p110 @p108) :args (@t120)) % 0.37/0.71 (step @p112 :rule nary_cong :premises (@p111 @p107) :args (@t121)) % 0.37/0.71 (step @p113 :rule refl :args (@t112)) % 0.37/0.71 (step @p114 :rule refl :args (@t106)) % 0.37/0.71 (step @p115 :rule nary_cong :premises (@p110 @p114) :args (@t122)) % 0.37/0.71 (step @p116 :rule nary_cong :premises (@p115 @p113) :args (@t123)) % 0.37/0.71 (step @p117 :rule refl :args (@t113)) % 0.37/0.71 (step @p118 :rule refl :args (@t114)) % 0.37/0.71 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p112) :args (@t124)) % 0.37/0.71 (step @p120 :rule aci_norm :args ((= @t126 @t124))) % 0.37/0.71 (step @p121 :rule trans :premises (@p120 @p119)) % 0.37/0.71 (step @p122 :rule cong :premises (@p121) :args (@t127)) % 0.37/0.71 (step @p123 :rule quant-merge-prenex :args ((= (forall @t9 @t129) @t127))) % 0.37/0.71 (step @p124 :rule alpha_equiv :args (@t130 (@list @t103) @t131)) % 0.37/0.71 (step @p125 :rule refl :args (@t114)) % 0.37/0.71 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t132)) % 0.37/0.71 (step @p127 :rule quant-miniscope-or :args ((= @t129 @t132))) % 0.37/0.71 (step @p128 :rule trans :premises (@p127 @p126)) % 0.37/0.71 (step @p129 :rule symm :premises (@p128)) % 0.37/0.71 (step @p130 :rule 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chain_m_resolution :premises (@p385 @p351 @p363) :args (@t219 @t210 (@list @t180 @t217))) % 0.37/0.71 (step @p387 :rule instantiate :premises (@p344) :args (@t118)) % 0.37/0.71 (step @p388 :rule cnf_or_pos :args (@t222)) % 0.37/0.71 (step @p389 :rule reordering :premises (@p388) :args ((or @t192 @t221 (not @t222)))) % 0.37/0.71 (step @p390 :rule chain_m_resolution :premises (@p389 @p295 @p387) :args (@t221 @t210 (@list @t191 @t222))) % 0.37/0.71 (step @p391 :rule cnf_or_pos :args (@t225)) % 0.37/0.71 (step @p392 :rule reordering :premises (@p391) :args ((or @t192 @t187 @t224 @t223 (not @t225)))) % 0.37/0.71 (assume-push @p506 @t184) % 0.37/0.71 (step @p394 :rule instantiate :premises (@p506) :args (@t118)) % 0.37/0.71 (step-pop @p507 :rule scope :premises (@p394)) % 0.37/0.71 (step @p395 :rule process_scope :premises (@p507) :args (@t225)) % 0.37/0.71 (step @p397 :rule implies_elim :premises (@p395)) % 0.37/0.71 (step @p398 :rule chain_m_resolution :premises (@p397 @p392 @p390 @p386 @p295 @p320 @p356) :args (@t188 (@list true false false false false false) (@list @t225 @t221 @t219 @t191 @t184 @t186))) % 0.37/0.71 (step @p399 :rule chain_m_resolution :premises (@p312 @p311 @p398) :args ((not @t189) @t226 (@list @t190 @t188))) % 0.37/0.71 (step @p400 :rule cnf_or_neg :args (@t189 1)) % 0.37/0.71 (step @p401 :rule chain_m_resolution :premises (@p400 @p399) :args (@t179 @t206 (@list @t189))) % 0.37/0.71 (step @p402 :rule aci_norm :args ((= @t234 @t232))) % 0.37/0.71 (step @p403 :rule cong :premises (@p402) :args (@t236)) % 0.37/0.71 (step @p404 :rule quant-merge-prenex :args ((= (forall @t9 @t238) @t236))) % 0.37/0.71 (step @p405 :rule alpha_equiv :args (@t239 (@list @t227) @t131)) % 0.37/0.71 (step @p406 :rule nary_cong :premises (@p125 @p405) :args (@t240)) % 0.37/0.71 (step @p407 :rule quant-miniscope-or :args ((= @t238 @t240))) % 0.37/0.71 (step @p408 :rule trans :premises (@p407 @p406)) % 0.37/0.71 (step @p409 :rule symm :premises (@p408)) % 0.37/0.71 (step @p410 :rule cong :premises (@p409) :args ((forall @t9 (or @t114 @t243)))) % 0.37/0.71 (step @p411 :rule trans :premises (@p410 @p404)) % 0.37/0.71 (step @p412 :rule trans :premises (@p411 @p403)) % 0.37/0.71 (step @p413 :rule bool-impl-elim :args (@t17 @t243)) % 0.37/0.71 (step @p414 :rule cong :premises (@p413) :args ((forall @t9 (=> @t17 @t243)))) % 0.37/0.71 (step @p415 :rule trans :premises (@p414 @p412)) % 0.37/0.71 (step @p416 :rule aci_norm :args ((= (or @t139 @t244) @t242))) % 0.37/0.71 (step @p417 :rule aci_norm :args ((= (or (or @t241 @t133) @t3) @t244))) % 0.37/0.71 (step @p418 :rule refl :args (@t3)) % 0.37/0.71 (step @p419 :rule bool-and-de-morgan :args (@t23 @t58 true)) % 0.37/0.71 (step @p420 :rule nary_cong :premises (@p419 @p418) :args ((or (not @t59) @t3))) % 0.37/0.71 (step @p421 :rule trans :premises (@p420 @p417)) % 0.37/0.71 (step @p422 :rule bool-impl-elim :args (@t59 @t3)) % 0.37/0.71 (step @p423 :rule trans :premises (@p422 @p421)) % 0.37/0.71 (step @p424 :rule refl :args (@t139)) % 0.37/0.71 (step @p425 :rule nary_cong :premises (@p424 @p423) :args ((or @t139 @t60))) % 0.37/0.71 (step @p426 :rule trans :premises (@p425 @p416)) % 0.37/0.71 (step @p427 :rule bool-impl-elim :args (@t21 @t60)) % 0.37/0.71 (step @p428 :rule trans :premises (@p427 @p426)) % 0.37/0.71 (step @p429 :rule cong :premises (@p428) :args (@t61)) % 0.37/0.71 (step @p430 :rule cong :premises (@p101 @p429) :args (@t62)) % 0.37/0.71 (step @p431 :rule cong :premises (@p430) :args (@t63)) % 0.37/0.71 (step @p432 :rule trans :premises (@p431 @p415)) % 0.37/0.71 (step @p433 :rule eq_resolve :premises (@p48 @p432)) % 0.37/0.71 (step @p434 :rule eq-symm :args (@t117 @t172)) % 0.37/0.71 (step @p435 :rule refl :args (@t223)) % 0.37/0.71 (step @p436 :rule refl :args (@t174)) % 0.37/0.71 (step @p437 :rule nary_cong :premises (@p275 @p276 @p436 @p435 @p434) :args (@t245)) % 0.37/0.71 (step @p438 :rule refl :args (@t246)) % 0.37/0.71 (step @p439 :rule cong :premises (@p438 @p437) :args ((=> @t246 @t245))) % 0.37/0.71 (assume-push @p508 @t246) % 0.37/0.71 (step @p441 :rule instantiate :premises (@p433) :args ((@list @t117 @t172))) % 0.37/0.71 (step-pop @p509 :rule scope :premises (@p441)) % 0.37/0.71 (step @p442 :rule process_scope :premises (@p509) :args (@t245)) % 0.37/0.71 (step @p444 :rule eq_resolve :premises (@p442 @p439)) % 0.37/0.71 (step @p445 :rule implies_elim :premises (@p444)) % 0.37/0.71 (step @p446 :rule chain_m_resolution :premises (@p445 @p433) :args (@t248 (@list false) (@list @t246))) % 0.37/0.71 (step @p447 :rule bool-double-not-elim :args (@t178)) % 0.37/0.71 (step @p448 :rule nary_cong :premises (@p305 @p447) :args ((or @t182 @t249))) % 0.37/0.71 (step @p449 :rule cnf_or_neg :args (@t182 1)) % 0.37/0.71 (step @p450 :rule eq_resolve :premises (@p449 @p448)) % 0.37/0.71 (step @p451 :rule reordering :premises (@p450) :args ((or @t178 @t182))) % 0.37/0.71 (step @p452 :rule chain_m_resolution :premises (@p451 @p401) :args (@t182 @t206 (@list @t178))) % 0.37/0.71 (step @p453 :rule chain_m_resolution :premises (@p315 @p314 @p452) :args ((not @t177) @t226 (@list @t183 @t182))) % 0.37/0.71 (step @p454 :rule chain_m_resolution :premises (@p330 @p453) :args (@t173 @t206 (@list @t177))) % 0.37/0.71 (step @p455 :rule cnf_or_pos :args (@t248)) % 0.37/0.71 (step @p456 :rule reordering :premises (@p455) :args ((or @t194 @t192 @t174 @t223 @t247 (not @t248)))) % 0.37/0.71 (step @p457 :rule chain_m_resolution :premises (@p456 @p341 @p295 @p454 @p386 @p446) :args (@t247 (@list false false false false false) (@list @t193 @t191 @t173 @t219 @t248))) % 0.37/0.71 (step @p458 :rule refl :args (@t250)) % 0.37/0.71 (step @p459 :rule refl :args (@t251)) % 0.37/0.71 (step @p460 :rule nary_cong :premises (@p269 @p447 @p459 @p458) :args ((or @t181 @t249 @t251 @t250))) % 0.37/0.71 (assume-push @p510 @t208) % 0.37/0.71 (assume-push @p511 @t180) % 0.37/0.71 (assume-push @p512 @t247) % 0.37/0.71 (assume-push @p513 @t179) % 0.37/0.71 (step @p465 :rule evaluate :args ((= false true))) % 0.37/0.71 (step @p466 :rule trans :premises (@p512 @p298)) % 0.37/0.71 (step @p467 :rule symm :premises (@p466)) % 0.37/0.71 (step @p468 :rule trans :premises (@p511 @p298 @p467)) % 0.37/0.71 (step @p469 :rule true_intro :premises (@p468)) % 0.37/0.71 (step @p470 :rule false_intro :premises (@p513)) % 0.37/0.71 (step @p471 :rule symm :premises (@p470)) % 0.37/0.71 (step @p472 :rule trans :premises (@p471 @p469)) % 0.37/0.71 (step @p473 false :rule eq_resolve :premises (@p472 @p465)) % 0.37/0.71 (step-pop @p514 :rule scope :premises (@p473)) % 0.37/0.71 (step-pop @p515 :rule scope :premises (@p514)) % 0.37/0.71 (step-pop @p516 :rule scope :premises (@p515)) % 0.37/0.71 (step-pop @p517 :rule scope :premises (@p516)) % 0.37/0.71 (step @p474 :rule process_scope :premises (@p517) :args (false)) % 0.37/0.71 (assume-push @p518 @t180) % 0.37/0.71 (assume-push @p519 @t179) % 0.37/0.71 (assume-push @p520 @t208) % 0.37/0.71 (assume-push @p521 @t247) % 0.37/0.71 (step @p483 :rule and_intro :premises (@p298 @p518 @p521 @p519)) % 0.37/0.71 (step-pop @p522 :rule scope :premises (@p483)) % 0.37/0.71 (step-pop @p523 :rule scope :premises (@p522)) % 0.37/0.71 (step-pop @p524 :rule scope :premises (@p523)) % 0.37/0.71 (step-pop @p525 :rule scope :premises (@p524)) % 0.37/0.71 (step @p484 :rule process_scope :premises (@p525) :args (@t252)) % 0.37/0.71 (step @p489 :rule implies_elim :premises (@p484)) % 0.37/0.71 (step @p490 :rule resolution :premises (@p489 @p474) :args (true @t252)) % 0.37/0.71 (step @p491 :rule not_and :premises (@p490)) % 0.37/0.71 (step @p492 :rule eq_resolve :premises (@p491 @p460)) % 0.37/0.71 (step @p493 false :rule chain_m_resolution :premises (@p492 @p457 @p401 @p351 @p298) :args (false (@list false true false false) (@list @t247 @t178 @t180 @t208))) % 0.37/0.71 ) % 0.37/0.71 % SZS output end Proof % 0.37/0.71 % cvc5 exiting %------------------------------------------------------------------------------