%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC256+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 : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:37 AM UTC 2026 % Result : Theorem 11.52s 11.75s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC256+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 19:33:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 11.52/11.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 11.52/11.75 % SZS status Theorem % 11.52/11.75 % SZS output start Proof % 11.52/11.75 ( % 11.52/11.75 (declare-sort $$unsorted 0) % 11.52/11.75 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 11.52/11.75 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 11.52/11.75 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 11.52/11.75 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 11.52/11.75 (declare-const tptp.nil $$unsorted) % 11.52/11.75 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.ssList (-> $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 11.52/11.75 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 11.52/11.75 (define @t1 () (@var "V" $$unsorted)) % 11.52/11.75 (define @t2 () (@var "U" $$unsorted)) % 11.52/11.75 (define @t3 () (= @t2 @t1)) % 11.52/11.75 (define @t4 () (not @t3)) % 11.52/11.75 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 11.52/11.75 (define @t6 () (tptp.ssItem @t1)) % 11.52/11.75 (define @t7 () (@list @t1)) % 11.52/11.75 (define @t8 () (tptp.ssItem @t2)) % 11.52/11.75 (define @t9 () (@list @t2)) % 11.52/11.75 (define @t10 () (@var "X" $$unsorted)) % 11.52/11.75 (define @t11 () (tptp.cons @t1 @t10)) % 11.52/11.75 (define @t12 () (@var "W" $$unsorted)) % 11.52/11.75 (define @t13 () (tptp.ssList @t10)) % 11.52/11.75 (define @t14 () (@list @t10)) % 11.52/11.75 (define @t15 () (tptp.ssList @t12)) % 11.52/11.75 (define @t16 () (@list @t12)) % 11.52/11.75 (define @t17 () (tptp.ssList @t2)) % 11.52/11.75 (define @t18 () (tptp.cons @t1 tptp.nil)) % 11.52/11.75 (define @t19 () (and @t6 (= @t18 @t2))) % 11.52/11.75 (define @t20 () (exists @t7 @t19)) % 11.52/11.75 (define @t21 () (tptp.singletonP @t2)) % 11.52/11.75 (define @t22 () (= @t21 @t20)) % 11.52/11.75 (define @t23 () (=> @t17 @t22)) % 11.52/11.75 (define @t24 () (forall @t9 @t23)) % 11.52/11.75 (define @t25 () (tptp.app @t1 @t12)) % 11.52/11.75 (define @t26 () (tptp.frontsegP @t2 @t1)) % 11.52/11.75 (define @t27 () (tptp.ssList @t1)) % 11.52/11.75 (define @t28 () (tptp.app @t12 @t1)) % 11.52/11.75 (define @t29 () (tptp.rearsegP @t2 @t1)) % 11.52/11.75 (define @t30 () (tptp.segmentP @t2 @t1)) % 11.52/11.75 (define @t31 () (tptp.leq @t12 @t1)) % 11.52/11.75 (define @t32 () (tptp.leq @t1 @t12)) % 11.52/11.75 (define @t33 () (@var "Z" $$unsorted)) % 11.52/11.75 (define @t34 () (@var "Y" $$unsorted)) % 11.52/11.75 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 11.52/11.75 (define @t36 () (tptp.ssList @t33)) % 11.52/11.75 (define @t37 () (@list @t33)) % 11.52/11.75 (define @t38 () (tptp.ssList @t34)) % 11.52/11.75 (define @t39 () (@list @t34)) % 11.52/11.75 (define @t40 () (tptp.ssItem @t12)) % 11.52/11.75 (define @t41 () (tptp.lt @t1 @t12)) % 11.52/11.75 (define @t42 () (= @t1 @t12)) % 11.52/11.75 (define @t43 () (forall @t7 (=> @t27 @t5))) % 11.52/11.75 (define @t44 () (=> @t17 @t43)) % 11.52/11.75 (define @t45 () (forall @t9 @t44)) % 11.52/11.75 (define @t46 () (tptp.cons @t1 @t2)) % 11.52/11.75 (define @t47 () (tptp.ssList tptp.nil)) % 11.52/11.75 (define @t48 () (= @t1 @t2)) % 11.52/11.75 (define @t49 () (tptp.cons @t12 @t1)) % 11.52/11.75 (define @t50 () (= tptp.nil @t2)) % 11.52/11.75 (define @t51 () (tptp.hd @t2)) % 11.52/11.75 (define @t52 () (not @t50)) % 11.52/11.75 (define @t53 () (tptp.tl @t2)) % 11.52/11.75 (define @t54 () (tptp.app @t2 @t1)) % 11.52/11.75 (define @t55 () (tptp.app @t1 @t2)) % 11.52/11.75 (define @t56 () (tptp.leq @t1 @t2)) % 11.52/11.75 (define @t57 () (tptp.leq @t2 @t1)) % 11.52/11.75 (define @t58 () (tptp.geq @t2 @t1)) % 11.52/11.75 (define @t59 () (tptp.lt @t1 @t2)) % 11.52/11.75 (define @t60 () (tptp.lt @t2 @t1)) % 11.52/11.75 (define @t61 () (tptp.lt @t2 @t12)) % 11.52/11.75 (define @t62 () (tptp.gt @t2 @t1)) % 11.52/11.75 (define @t63 () (tptp.memberP @t12 @t2)) % 11.52/11.75 (define @t64 () (tptp.app @t12 @t2)) % 11.52/11.75 (define @t65 () (tptp.cons @t2 tptp.nil)) % 11.52/11.75 (define @t66 () (tptp.hd @t1)) % 11.52/11.75 (define @t67 () (= tptp.nil @t1)) % 11.52/11.75 (define @t68 () (not @t67)) % 11.52/11.75 (define @t69 () (tptp.cons @t2 @t1)) % 11.52/11.75 (define @t70 () (= @t12 @t2)) % 11.52/11.75 (define @t71 () (not (= tptp.nil @t12))) % 11.52/11.75 (define @t72 () (not (= tptp.nil @t10))) % 11.52/11.75 (define @t73 () (or @t72 @t71)) % 11.52/11.75 (define @t74 () (not (tptp.memberP @t10 @t34))) % 11.52/11.75 (define @t75 () (tptp.cons @t34 tptp.nil)) % 11.52/11.75 (define @t76 () (not (= @t75 @t12))) % 11.52/11.75 (define @t77 () (or @t76 @t74)) % 11.52/11.75 (define @t78 () (tptp.ssItem @t34)) % 11.52/11.75 (define @t79 () (=> @t78 @t77)) % 11.52/11.75 (define @t80 () (forall @t39 @t79)) % 11.52/11.75 (define @t81 () (and @t80 @t73)) % 11.52/11.75 (define @t82 () (not (tptp.neq @t1 tptp.nil))) % 11.52/11.75 (define @t83 () (not (= @t2 @t12))) % 11.52/11.75 (define @t84 () (not (= @t1 @t10))) % 11.52/11.75 (define @t85 () (or @t84 @t83 @t82 @t21 @t81)) % 11.52/11.75 (define @t86 () (=> @t13 @t85)) % 11.52/11.75 (define @t87 () (forall @t14 @t86)) % 11.52/11.75 (define @t88 () (=> @t15 @t87)) % 11.52/11.75 (define @t89 () (forall @t16 @t88)) % 11.52/11.75 (define @t90 () (=> @t27 @t89)) % 11.52/11.75 (define @t91 () (forall @t7 @t90)) % 11.52/11.75 (define @t92 () (=> @t17 @t91)) % 11.52/11.75 (define @t93 () (forall @t9 @t92)) % 11.52/11.75 (define @t94 () (not @t93)) % 11.52/11.75 (define @t95 () (= @t2 @t18)) % 11.52/11.75 (define @t96 () (not @t6)) % 11.52/11.75 (define @t97 () (= @t21 (not (forall @t7 (or @t96 (not @t95)))))) % 11.52/11.75 (define @t98 () (and @t6 @t95)) % 11.52/11.75 (define @t99 () (forall @t7 (not @t98))) % 11.52/11.75 (define @t100 () (not @t99)) % 11.52/11.75 (define @t101 () (not (= @t2 tptp.nil))) % 11.52/11.75 (define @t102 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 11.52/11.75 (define @t103 () (@var "BOUND_VARIABLE_11076" $$unsorted)) % 11.52/11.75 (define @t104 () (or (not (tptp.ssItem @t103)) (not (= @t2 (tptp.cons @t103 tptp.nil))) (not (tptp.memberP @t102 @t103)))) % 11.52/11.75 (define @t105 () (not (tptp.neq @t102 tptp.nil))) % 11.52/11.75 (define @t106 () (not (tptp.ssList @t102))) % 11.52/11.75 (define @t107 () (not @t17)) % 11.52/11.75 (define @t108 () (@list @t2 @t102 @t103)) % 11.52/11.75 (define @t109 () (forall @t108 (or @t107 @t21 @t106 @t105 (and @t104 (or (not (= tptp.nil @t102)) @t101))))) % 11.52/11.75 (define @t110 () (@quantifiers_skolemize @t109 0)) % 11.52/11.75 (define @t111 () (not (= @t110 @t18))) % 11.52/11.75 (define @t112 () (or @t96 @t111)) % 11.52/11.75 (define @t113 () (forall @t7 @t112)) % 11.52/11.75 (define @t114 () (not @t113)) % 11.52/11.75 (define @t115 () (tptp.singletonP @t110)) % 11.52/11.75 (define @t116 () (= @t115 @t114)) % 11.52/11.75 (define @t117 () (tptp.ssList @t110)) % 11.52/11.75 (define @t118 () (not @t117)) % 11.52/11.75 (define @t119 () (or @t118 @t116)) % 11.52/11.75 (define @t120 () (forall @t9 (or @t107 @t97))) % 11.52/11.75 (define @t121 () (forall @t7 (or @t96 (not (= @t18 @t110))))) % 11.52/11.75 (define @t122 () (not @t121)) % 11.52/11.75 (define @t123 () (= @t115 @t122)) % 11.52/11.75 (define @t124 () (or @t118 @t123)) % 11.52/11.75 (define @t125 () (@list false)) % 11.52/11.75 (define @t126 () (not (= @t102 tptp.nil))) % 11.52/11.75 (define @t127 () (or @t126 @t101)) % 11.52/11.75 (define @t128 () (and @t104 @t127)) % 11.52/11.75 (define @t129 () (or @t107 @t21 @t106 @t105 @t128)) % 11.52/11.75 (define @t130 () (or @t106 @t105 @t128)) % 11.52/11.75 (define @t131 () (or @t107 @t21 @t130)) % 11.52/11.75 (define @t132 () (forall @t108 @t131)) % 11.52/11.75 (define @t133 () (@list @t102 @t103)) % 11.52/11.75 (define @t134 () (forall @t133 @t131)) % 11.52/11.75 (define @t135 () (forall @t133 @t130)) % 11.52/11.75 (define @t136 () (@var "BOUND_VARIABLE_11055" $$unsorted)) % 11.52/11.75 (define @t137 () (or @t107 @t21 @t135)) % 11.52/11.75 (define @t138 () (not (= @t1 tptp.nil))) % 11.52/11.75 (define @t139 () (or @t138 @t101)) % 11.52/11.75 (define @t140 () (or (not (tptp.ssItem @t136)) (not (= @t2 (tptp.cons @t136 tptp.nil))) (not (tptp.memberP @t1 @t136)))) % 11.52/11.75 (define @t141 () (and @t140 @t139)) % 11.52/11.75 (define @t142 () (not @t27)) % 11.52/11.75 (define @t143 () (or @t142 @t82 @t141)) % 11.52/11.75 (define @t144 () (forall (@list @t1 @t136) @t143)) % 11.52/11.75 (define @t145 () (or @t107 @t21 @t144)) % 11.52/11.75 (define @t146 () (or @t21 @t107 @t144)) % 11.52/11.75 (define @t147 () (@list @t136)) % 11.52/11.75 (define @t148 () (forall @t147 @t143)) % 11.52/11.75 (define @t149 () (forall @t147 @t139)) % 11.52/11.75 (define @t150 () (forall @t147 @t140)) % 11.52/11.75 (define @t151 () (@var "BOUND_VARIABLE_11030" $$unsorted)) % 11.52/11.75 (define @t152 () (@list @t151)) % 11.52/11.75 (define @t153 () (and @t150 @t149)) % 11.52/11.75 (define @t154 () (forall @t147 @t141)) % 11.52/11.75 (define @t155 () (or @t142 @t82 @t154)) % 11.52/11.75 (define @t156 () (and (forall (@list @t151) (or (not (tptp.ssItem @t151)) (not (= @t2 (tptp.cons @t151 tptp.nil))) (not (tptp.memberP @t1 @t151)))) @t139)) % 11.52/11.75 (define @t157 () (or @t142 @t82 @t156)) % 11.52/11.75 (define @t158 () (forall @t7 @t157)) % 11.52/11.75 (define @t159 () (or @t21 @t107 @t158)) % 11.52/11.75 (define @t160 () (or @t21 @t107 @t157)) % 11.52/11.75 (define @t161 () (or @t142 @t82 @t21 @t107 @t156)) % 11.52/11.75 (define @t162 () (or @t82 @t21 @t142 @t107 @t156)) % 11.52/11.75 (define @t163 () (@var "BOUND_VARIABLE_11001" $$unsorted)) % 11.52/11.75 (define @t164 () (@list @t163)) % 11.52/11.75 (define @t165 () (forall @t164 @t139)) % 11.52/11.75 (define @t166 () (not (tptp.memberP @t1 @t163))) % 11.52/11.75 (define @t167 () (tptp.cons @t163 tptp.nil)) % 11.52/11.75 (define @t168 () (not (tptp.ssItem @t163))) % 11.52/11.75 (define @t169 () (or @t168 (not (= @t2 @t167)) @t166)) % 11.52/11.75 (define @t170 () (forall @t164 @t169)) % 11.52/11.75 (define @t171 () (@list @t163)) % 11.52/11.75 (define @t172 () (and @t170 @t165)) % 11.52/11.75 (define @t173 () (and @t169 @t139)) % 11.52/11.75 (define @t174 () (forall @t164 @t173)) % 11.52/11.75 (define @t175 () (or @t107 @t174)) % 11.52/11.75 (define @t176 () (or @t107 @t173)) % 11.52/11.75 (define @t177 () (not (= @t2 @t2))) % 11.52/11.75 (define @t178 () (or @t107 @t177 @t173)) % 11.52/11.75 (define @t179 () (not (= @t12 tptp.nil))) % 11.52/11.75 (define @t180 () (or @t138 @t179)) % 11.52/11.75 (define @t181 () (or @t168 (not (= @t12 @t167)) @t166)) % 11.52/11.75 (define @t182 () (and @t181 @t180)) % 11.52/11.75 (define @t183 () (not @t15)) % 11.52/11.75 (define @t184 () (or @t83 @t183 @t83 @t182)) % 11.52/11.75 (define @t185 () (or @t183 @t83 @t182)) % 11.52/11.75 (define @t186 () (forall @t16 @t185)) % 11.52/11.75 (define @t187 () (forall @t164 @t186)) % 11.52/11.75 (define @t188 () (forall (@list @t163 @t12) @t185)) % 11.52/11.75 (define @t189 () (forall (@list @t12 @t163) @t185)) % 11.52/11.75 (define @t190 () (forall @t164 @t185)) % 11.52/11.75 (define @t191 () (forall @t164 @t180)) % 11.52/11.75 (define @t192 () (forall @t164 @t181)) % 11.52/11.75 (define @t193 () (@var "BOUND_VARIABLE_10976" $$unsorted)) % 11.52/11.75 (define @t194 () (@list @t193)) % 11.52/11.75 (define @t195 () (and @t192 @t191)) % 11.52/11.75 (define @t196 () (forall @t164 @t182)) % 11.52/11.75 (define @t197 () (or @t183 @t83 @t196)) % 11.52/11.75 (define @t198 () (and (forall (@list @t193) (or (not (tptp.ssItem @t193)) (not (= @t12 (tptp.cons @t193 tptp.nil))) (not (tptp.memberP @t1 @t193)))) @t180)) % 11.52/11.75 (define @t199 () (or @t183 @t83 @t198)) % 11.52/11.75 (define @t200 () (forall @t16 @t199)) % 11.52/11.75 (define @t201 () (or @t82 @t21 @t142 @t200)) % 11.52/11.75 (define @t202 () (or @t82 @t21 @t142 @t199)) % 11.52/11.75 (define @t203 () (or @t183 @t83 @t82 @t21 @t142 @t198)) % 11.52/11.75 (define @t204 () (or @t83 @t82 @t21 @t142 @t198)) % 11.52/11.75 (define @t205 () (@var "BOUND_VARIABLE_10949" $$unsorted)) % 11.52/11.75 (define @t206 () (@list @t205)) % 11.52/11.75 (define @t207 () (forall @t206 @t180)) % 11.52/11.75 (define @t208 () (not (= @t12 (tptp.cons @t205 tptp.nil)))) % 11.52/11.75 (define @t209 () (not (tptp.ssItem @t205))) % 11.52/11.75 (define @t210 () (or @t209 @t208 (not (tptp.memberP @t1 @t205)))) % 11.52/11.75 (define @t211 () (forall @t206 @t210)) % 11.52/11.75 (define @t212 () (@list @t205)) % 11.52/11.75 (define @t213 () (and @t211 @t207)) % 11.52/11.75 (define @t214 () (and @t210 @t180)) % 11.52/11.75 (define @t215 () (forall @t206 @t214)) % 11.52/11.75 (define @t216 () (or @t142 @t215)) % 11.52/11.75 (define @t217 () (or @t142 @t214)) % 11.52/11.75 (define @t218 () (not (= @t1 @t1))) % 11.52/11.75 (define @t219 () (or @t142 @t218 @t214)) % 11.52/11.75 (define @t220 () (or (not (= @t10 tptp.nil)) @t179)) % 11.52/11.75 (define @t221 () (or @t209 @t208 (not (tptp.memberP @t10 @t205)))) % 11.52/11.75 (define @t222 () (and @t221 @t220)) % 11.52/11.75 (define @t223 () (not @t13)) % 11.52/11.75 (define @t224 () (or @t84 @t223 @t84 @t222)) % 11.52/11.75 (define @t225 () (or @t223 @t84 @t222)) % 11.52/11.75 (define @t226 () (forall @t14 @t225)) % 11.52/11.75 (define @t227 () (forall @t206 @t226)) % 11.52/11.75 (define @t228 () (forall (@list @t205 @t10) @t225)) % 11.52/11.75 (define @t229 () (forall (@list @t10 @t205) @t225)) % 11.52/11.75 (define @t230 () (forall @t206 @t225)) % 11.52/11.75 (define @t231 () (forall @t206 @t220)) % 11.52/11.75 (define @t232 () (forall @t206 @t221)) % 11.52/11.75 (define @t233 () (and @t232 @t231)) % 11.52/11.75 (define @t234 () (forall @t206 @t222)) % 11.52/11.75 (define @t235 () (or @t223 @t84 @t234)) % 11.52/11.75 (define @t236 () (not (= @t12 @t75))) % 11.52/11.75 (define @t237 () (not @t78)) % 11.52/11.75 (define @t238 () (or @t237 @t236 @t74)) % 11.52/11.75 (define @t239 () (and (forall @t39 @t238) @t220)) % 11.52/11.75 (define @t240 () (or @t223 @t84 @t239)) % 11.52/11.75 (define @t241 () (forall @t14 @t240)) % 11.52/11.75 (define @t242 () (or @t83 @t82 @t21 @t241)) % 11.52/11.75 (define @t243 () (or @t83 @t82 @t21 @t240)) % 11.52/11.75 (define @t244 () (or @t223 @t84 @t83 @t82 @t21 @t239)) % 11.52/11.75 (define @t245 () (or @t84 @t83 @t82 @t21 @t239)) % 11.52/11.75 (define @t246 () (or @t236 @t74)) % 11.52/11.75 (define @t247 () (@quantifiers_skolemize @t109 1)) % 11.52/11.75 (define @t248 () (= tptp.nil @t247)) % 11.52/11.75 (define @t249 () (not @t248)) % 11.52/11.75 (define @t250 () (or @t249 (not (= tptp.nil @t110)))) % 11.52/11.75 (define @t251 () (@quantifiers_skolemize @t109 2)) % 11.52/11.75 (define @t252 () (tptp.cons @t251 tptp.nil)) % 11.52/11.75 (define @t253 () (= @t110 @t252)) % 11.52/11.75 (define @t254 () (not @t253)) % 11.52/11.75 (define @t255 () (tptp.ssItem @t251)) % 11.52/11.75 (define @t256 () (not @t255)) % 11.52/11.75 (define @t257 () (or @t256 @t254 (not (tptp.memberP @t247 @t251)))) % 11.52/11.75 (define @t258 () (and @t257 @t250)) % 11.52/11.75 (define @t259 () (tptp.neq @t247 tptp.nil)) % 11.52/11.75 (define @t260 () (not @t259)) % 11.52/11.75 (define @t261 () (tptp.ssList @t247)) % 11.52/11.75 (define @t262 () (not @t261)) % 11.52/11.75 (define @t263 () (or @t118 @t115 @t262 @t260 @t258)) % 11.52/11.75 (define @t264 () (not @t263)) % 11.52/11.75 (define @t265 () (not @t109)) % 11.52/11.75 (define @t266 () (not (= @t110 tptp.nil))) % 11.52/11.75 (define @t267 () (or @t249 @t266)) % 11.52/11.75 (define @t268 () (and @t257 @t267)) % 11.52/11.75 (define @t269 () (or @t118 @t115 @t262 @t260 @t268)) % 11.52/11.75 (define @t270 () (not @t269)) % 11.52/11.75 (define @t271 () (@list true)) % 11.52/11.75 (define @t272 () (@list @t263)) % 11.52/11.75 (define @t273 () (@list false false)) % 11.52/11.75 (define @t274 () (not @t123)) % 11.52/11.75 (define @t275 () (@list true false)) % 11.52/11.75 (define @t276 () (@var "BOUND_VARIABLE_9104" $$unsorted)) % 11.52/11.75 (define @t277 () (= (tptp.neq @t2 @t276) (not (= @t2 @t276)))) % 11.52/11.75 (define @t278 () (not (tptp.ssList @t276))) % 11.52/11.75 (define @t279 () (or @t107 @t278 @t277)) % 11.52/11.75 (define @t280 () (or @t278 @t277)) % 11.52/11.75 (define @t281 () (or @t107 @t280)) % 11.52/11.75 (define @t282 () (@list @t2 @t276)) % 11.52/11.75 (define @t283 () (forall @t282 @t281)) % 11.52/11.75 (define @t284 () (@list @t276)) % 11.52/11.75 (define @t285 () (forall @t284 @t281)) % 11.52/11.75 (define @t286 () (forall @t284 @t280)) % 11.52/11.75 (define @t287 () (or @t107 @t286)) % 11.52/11.75 (define @t288 () (forall @t7 (or @t142 @t5))) % 11.52/11.75 (define @t289 () (not (= @t247 tptp.nil))) % 11.52/11.75 (define @t290 () (= @t259 @t289)) % 11.52/11.75 (define @t291 () (not @t47)) % 11.52/11.75 (define @t292 () (or @t262 @t291 @t290)) % 11.52/11.75 (define @t293 () (forall @t282 @t279)) % 11.52/11.75 (define @t294 () (= @t259 @t249)) % 11.52/11.75 (define @t295 () (or @t262 @t291 @t294)) % 11.52/11.75 (define @t296 () (@list @t257)) % 11.52/11.75 (define @t297 () (or @t256 @t254)) % 11.52/11.75 (define @t298 () (not @t297)) % 11.52/11.75 (define @t299 () (not (= @t252 @t110))) % 11.52/11.75 (define @t300 () (or @t256 @t299)) % 11.52/11.75 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 11.52/11.75 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 11.52/11.75 (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))))))))))) % 11.52/11.75 (assume @p4 @t24) % 11.52/11.75 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 11.52/11.75 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 11.52/11.75 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 11.52/11.75 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not (and @t32 @t31))))))))))))))))) % 11.52/11.75 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t32 @t31)))))))))))))))) % 11.52/11.75 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t41 (tptp.lt @t12 @t1))))))))))))))))) % 11.52/11.75 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32))))))))))))))) % 11.52/11.75 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41))))))))))))))) % 11.52/11.75 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not @t42)))))))))))))))) % 11.52/11.75 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t42))))))))))))) % 11.52/11.75 (assume @p15 @t45) % 11.52/11.75 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t46)))))) % 11.52/11.75 (assume @p17 @t47) % 11.52/11.75 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t46 @t2))))))) % 11.52/11.75 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t48))))))))))) % 11.52/11.75 (assume @p20 (forall @t9 (=> @t17 (or @t50 (exists @t7 (and @t27 (exists @t16 (and @t40 (= @t49 @t2))))))))) % 11.52/11.75 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t46))))))) % 11.52/11.75 (assume @p22 (forall @t9 (=> @t17 (=> @t52 (tptp.ssItem @t51))))) % 11.52/11.75 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t46) @t1)))))) % 11.52/11.75 (assume @p24 (forall @t9 (=> @t17 (=> @t52 (tptp.ssList @t53))))) % 11.52/11.75 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t46) @t2)))))) % 11.52/11.75 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t54)))))) % 11.52/11.75 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t55) (tptp.app @t49 @t2))))))))) % 11.52/11.75 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 11.52/11.75 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t57 @t56) @t3)))))) % 11.52/11.75 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t57 @t32) (tptp.leq @t2 @t12))))))))) % 11.52/11.75 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 11.52/11.75 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 @t56)))))) % 11.52/11.75 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (not @t59))))))) % 11.52/11.75 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t60 @t41) @t61)))))))) % 11.52/11.75 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t59)))))) % 11.52/11.75 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t63))))))))) % 11.52/11.75 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t63))))))))) % 11.52/11.75 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 11.52/11.75 (assume @p39 (not (tptp.singletonP tptp.nil))) % 11.52/11.75 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 11.52/11.75 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 11.52/11.75 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 11.52/11.75 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 11.52/11.75 (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)))))))))))) % 11.52/11.75 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 11.52/11.75 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t50)))) % 11.52/11.75 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 11.52/11.75 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 11.52/11.75 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 11.52/11.75 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t64 @t1))))))))) % 11.52/11.75 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 11.52/11.75 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t50)))) % 11.52/11.75 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 11.52/11.75 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 (tptp.segmentP @t1 @t2)) @t3)))))) % 11.52/11.75 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 11.52/11.75 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t30 (tptp.segmentP (tptp.app @t64 @t10) @t1))))))))))) % 11.52/11.75 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 11.52/11.75 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t50)))) % 11.52/11.75 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t65)))) % 11.52/11.75 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 11.52/11.75 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t65)))) % 11.52/11.75 (assume @p62 (tptp.totalorderP tptp.nil)) % 11.52/11.75 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t65)))) % 11.52/11.75 (assume @p64 (tptp.strictorderP tptp.nil)) % 11.52/11.75 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t65)))) % 11.52/11.75 (assume @p66 (tptp.totalorderedP tptp.nil)) % 11.52/11.75 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t69) (or @t67 (and @t68 (tptp.totalorderedP @t1) (tptp.leq @t2 @t66))))))))) % 11.52/11.75 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t65)))) % 11.52/11.75 (assume @p69 (tptp.strictorderedP tptp.nil)) % 11.52/11.75 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t69) (or @t67 (and @t68 (tptp.strictorderedP @t1) (tptp.lt @t2 @t66))))))))) % 11.52/11.75 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t65)))) % 11.52/11.75 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 11.52/11.75 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t65)))) % 11.52/11.75 (assume @p74 (tptp.equalelemsP tptp.nil)) % 11.52/11.75 (assume @p75 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t6 (= @t51 @t1))))))) % 11.52/11.75 (assume @p76 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t27 (= @t53 @t1))))))) % 11.52/11.75 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t68 @t52 (= @t66 @t51) (= (tptp.tl @t1) @t53)) @t48)))))) % 11.52/11.75 (assume @p78 (forall @t9 (=> @t17 (=> @t52 (= (tptp.cons @t51 @t53) @t2))))) % 11.52/11.75 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t54) @t70)))))))) % 11.52/11.75 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t55) @t70)))))))) % 11.52/11.75 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t46 (tptp.app @t18 @t2))))))) % 11.52/11.75 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t54 @t12) (tptp.app @t2 @t25))))))))) % 11.52/11.75 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t54) (and @t67 @t50))))))) % 11.52/11.75 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 11.52/11.75 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t52 (= (tptp.hd @t54) @t51))))))) % 11.52/11.75 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t52 (= (tptp.tl @t54) (tptp.app @t53 @t1)))))))) % 11.52/11.75 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t58 (tptp.geq @t1 @t2)) @t3)))))) % 11.52/11.75 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t58 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 11.52/11.75 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 11.52/11.75 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 11.52/11.75 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t57 @t41) @t61)))))))) % 11.52/11.75 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (or @t3 @t60))))))) % 11.52/11.75 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 (and @t4 @t57))))))) % 11.52/11.75 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (not (tptp.gt @t1 @t2)))))))) % 11.52/11.75 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t62 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 11.52/11.75 (assume @p96 @t94) % 11.52/11.75 (assume @p97 true) % 11.52/11.75 (step @p98 :rule bool-impl-elim :args (@t17 @t97)) % 11.52/11.75 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t97)))) % 11.52/11.75 (step @p100 :rule bool-and-de-morgan :args (@t6 @t95 true)) % 11.52/11.75 (step @p101 :rule cong :premises (@p100) :args (@t99)) % 11.52/11.75 (step @p102 :rule cong :premises (@p101) :args (@t100)) % 11.52/11.75 (step @p103 :rule exists-elim :args ((= (exists @t7 @t98) @t100))) % 11.52/11.75 (step @p104 :rule trans :premises (@p103 @p102)) % 11.52/11.75 (step @p105 :rule eq-symm :args (@t18 @t2)) % 11.52/11.75 (step @p106 :rule refl :args (@t6)) % 11.52/11.75 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t19)) % 11.52/11.75 (step @p108 :rule cong :premises (@p107) :args (@t20)) % 11.52/11.75 (step @p109 :rule trans :premises (@p108 @p104)) % 11.52/11.75 (step @p110 :rule refl :args (@t21)) % 11.52/11.75 (step @p111 :rule cong :premises (@p110 @p109) :args (@t22)) % 11.52/11.75 (step @p112 :rule refl :args (@t17)) % 11.52/11.75 (step @p113 :rule cong :premises (@p112 @p111) :args (@t23)) % 11.52/11.75 (step @p114 :rule cong :premises (@p113) :args (@t24)) % 11.52/11.75 (step @p115 :rule trans :premises (@p114 @p99)) % 11.52/11.75 (step @p116 :rule eq_resolve 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(@p327 @p326) :args (@t79)) % 11.52/11.75 (step @p329 :rule cong :premises (@p328) :args (@t80)) % 11.52/11.75 (step @p330 :rule trans :premises (@p329 @p322)) % 11.52/11.75 (step @p331 :rule nary_cong :premises (@p330 @p318) :args (@t81)) % 11.52/11.75 (step @p332 :rule refl :args (@t84)) % 11.52/11.75 (step @p333 :rule nary_cong :premises (@p332 @p301 @p240 @p110 @p331) :args (@t85)) % 11.52/11.75 (step @p334 :rule refl :args (@t13)) % 11.52/11.75 (step @p335 :rule cong :premises (@p334 @p333) :args (@t86)) % 11.52/11.75 (step @p336 :rule cong :premises (@p335) :args (@t87)) % 11.52/11.75 (step @p337 :rule trans :premises (@p336 @p313)) % 11.52/11.75 (step @p338 :rule refl :args (@t15)) % 11.52/11.75 (step @p339 :rule cong :premises (@p338 @p337) :args (@t88)) % 11.52/11.75 (step @p340 :rule cong :premises (@p339) :args (@t89)) % 11.52/11.75 (step @p341 :rule trans :premises (@p340 @p252)) % 11.52/11.75 (step @p342 :rule refl :args (@t27)) % 11.52/11.75 (step @p343 :rule cong :premises (@p342 @p341) :args (@t90)) % 11.52/11.75 (step @p344 :rule cong :premises (@p343) :args (@t91)) % 11.52/11.75 (step @p345 :rule trans :premises (@p344 @p189)) % 11.52/11.75 (step @p346 :rule cong :premises (@p112 @p345) :args (@t92)) % 11.52/11.75 (step @p347 :rule cong :premises (@p346) :args (@t93)) % 11.52/11.75 (step @p348 :rule trans :premises (@p347 @p164)) % 11.52/11.75 (step @p349 :rule cong :premises (@p348) :args (@t94)) % 11.52/11.75 (step @p350 :rule eq_resolve :premises (@p96 @p349)) % 11.52/11.75 (step @p351 :rule refl :args (@t264)) % 11.52/11.75 (step @p352 :rule bool-double-not-elim :args (@t109)) % 11.52/11.75 (step @p353 :rule nary_cong :premises (@p352 @p351) :args ((or (not @t265) @t264))) % 11.52/11.75 (step @p354 :rule eq-symm :args (@t110 tptp.nil)) % 11.52/11.75 (step @p355 :rule cong :premises (@p354) :args (@t266)) % 11.52/11.75 (step @p356 :rule refl :args (@t249)) % 11.52/11.75 (step @p357 :rule nary_cong :premises (@p356 @p355) :args (@t267)) % 11.52/11.75 (step @p358 :rule refl :args (@t257)) % 11.52/11.75 (step @p359 :rule nary_cong :premises (@p358 @p357) :args (@t268)) % 11.52/11.75 (step @p360 :rule refl :args (@t260)) % 11.52/11.75 (step @p361 :rule refl :args (@t262)) % 11.52/11.75 (step @p362 :rule nary_cong :premises (@p125 @p123 @p361 @p360 @p359) :args (@t269)) % 11.52/11.75 (step @p363 :rule cong :premises (@p362) :args (@t270)) % 11.52/11.75 (step @p364 :rule refl :args (@t265)) % 11.52/11.75 (step @p365 :rule cong :premises (@p364 @p363) :args ((=> @t265 @t270))) % 11.52/11.75 (assume-push @p487 @t265) % 11.52/11.75 (step @p367 :rule skolemize :premises (@p350)) % 11.52/11.75 (step-pop @p488 :rule scope :premises (@p367)) % 11.52/11.75 (step @p368 :rule process_scope :premises (@p488) :args (@t270)) % 11.52/11.75 (step @p370 :rule eq_resolve :premises (@p368 @p365)) % 11.52/11.75 (step @p371 :rule implies_elim :premises (@p370)) % 11.52/11.75 (step @p372 :rule eq_resolve :premises (@p371 @p353)) % 11.52/11.75 (step @p373 :rule chain_m_resolution :premises (@p372 @p350) :args (@t264 @t271 (@list @t109))) % 11.52/11.75 (step @p374 :rule bool-double-not-elim :args (@t117)) % 11.52/11.75 (step @p375 :rule refl :args (@t263)) % 11.52/11.75 (step @p376 :rule nary_cong :premises (@p375 @p374) :args ((or @t263 (not @t118)))) % 11.52/11.75 (step @p377 :rule cnf_or_neg :args (@t263 0)) % 11.52/11.75 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 11.52/11.75 (step @p379 :rule reordering :premises (@p378) :args ((or @t117 @t263))) % 11.52/11.75 (step @p380 :rule chain_m_resolution :premises (@p379 @p373) :args (@t117 @t271 @t272)) % 11.52/11.75 (step @p381 :rule cnf_or_pos :args (@t124)) % 11.52/11.75 (step @p382 :rule reordering :premises (@p381) :args ((or @t118 @t123 (not @t124)))) % 11.52/11.75 (step @p383 :rule chain_m_resolution :premises (@p382 @p380 @p135) :args (@t123 @t273 (@list @t117 @t124))) % 11.52/11.75 (step @p384 :rule cnf_or_neg :args (@t263 1)) % 11.52/11.75 (step @p385 :rule chain_m_resolution :premises (@p384 @p373) :args ((not @t115) @t271 @t272)) % 11.52/11.75 (step @p386 :rule bool-double-not-elim :args (@t121)) % 11.52/11.75 (step @p387 :rule refl :args (@t274)) % 11.52/11.75 (step @p388 :rule nary_cong :premises (@p387 @p123 @p386) :args ((or @t274 @t115 (not @t122)))) % 11.52/11.75 (step @p389 :rule cnf_equiv_pos2 :args (@t123)) % 11.52/11.75 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 11.52/11.75 (step @p391 :rule reordering :premises (@p390) :args ((or @t115 @t121 @t274))) % 11.52/11.75 (step @p392 :rule chain_m_resolution :premises (@p391 @p385 @p383) :args (@t121 @t275 (@list @t115 @t123))) % 11.52/11.75 (step @p393 :rule aci_norm :args ((= @t281 @t279))) % 11.52/11.75 (step @p394 :rule cong :premises (@p393) :args (@t283)) % 11.52/11.75 (step @p395 :rule quant-merge-prenex :args ((= (forall @t9 @t285) @t283))) % 11.52/11.75 (step @p396 :rule alpha_equiv :args (@t286 (@list @t276) (@list @t1))) % 11.52/11.75 (step @p397 :rule nary_cong :premises (@p152 @p396) :args (@t287)) % 11.52/11.75 (step @p398 :rule quant-miniscope-or :args ((= @t285 @t287))) % 11.52/11.75 (step @p399 :rule trans :premises (@p398 @p397)) % 11.52/11.75 (step @p400 :rule symm :premises (@p399)) % 11.52/11.75 (step @p401 :rule cong :premises (@p400) :args ((forall @t9 (or @t107 @t288)))) % 11.52/11.75 (step @p402 :rule trans :premises (@p401 @p395)) % 11.52/11.75 (step @p403 :rule trans :premises (@p402 @p394)) % 11.52/11.75 (step @p404 :rule bool-impl-elim :args (@t17 @t288)) % 11.52/11.75 (step @p405 :rule cong :premises (@p404) :args ((forall @t9 (=> @t17 @t288)))) % 11.52/11.75 (step @p406 :rule trans :premises (@p405 @p403)) % 11.52/11.75 (step @p407 :rule bool-impl-elim :args (@t27 @t5)) % 11.52/11.75 (step @p408 :rule cong :premises (@p407) :args (@t43)) % 11.52/11.75 (step @p409 :rule cong :premises (@p112 @p408) :args (@t44)) % 11.52/11.75 (step @p410 :rule cong :premises (@p409) :args (@t45)) % 11.52/11.75 (step @p411 :rule trans :premises (@p410 @p406)) % 11.52/11.75 (step @p412 :rule eq_resolve :premises (@p15 @p411)) % 11.52/11.75 (step @p413 :rule eq-symm :args (@t247 tptp.nil)) % 11.52/11.75 (step @p414 :rule cong :premises (@p413) :args (@t289)) % 11.52/11.75 (step @p415 :rule refl :args (@t259)) % 11.52/11.75 (step @p416 :rule cong :premises (@p415 @p414) :args (@t290)) % 11.52/11.75 (step @p417 :rule refl :args (@t291)) % 11.52/11.75 (step @p418 :rule nary_cong :premises (@p361 @p417 @p416) :args (@t292)) % 11.52/11.75 (step @p419 :rule refl :args (@t293)) % 11.52/11.75 (step @p420 :rule cong :premises (@p419 @p418) :args ((=> @t293 @t292))) % 11.52/11.75 (assume-push @p489 @t293) % 11.52/11.75 (step @p422 :rule instantiate :premises (@p412) :args ((@list @t247 tptp.nil))) % 11.52/11.75 (step-pop @p490 :rule scope :premises (@p422)) % 11.52/11.75 (step @p423 :rule process_scope :premises (@p490) :args (@t292)) % 11.52/11.75 (step @p425 :rule eq_resolve :premises (@p423 @p420)) % 11.52/11.75 (step @p426 :rule implies_elim :premises (@p425)) % 11.52/11.75 (step @p427 :rule chain_m_resolution :premises (@p426 @p412) :args (@t295 @t125 (@list @t293))) % 11.52/11.75 (step @p428 :rule bool-double-not-elim :args (@t261)) % 11.52/11.75 (step @p429 :rule nary_cong :premises (@p375 @p428) :args ((or @t263 (not @t262)))) % 11.52/11.75 (step @p430 :rule cnf_or_neg :args (@t263 2)) % 11.52/11.75 (step @p431 :rule eq_resolve :premises (@p430 @p429)) % 11.52/11.75 (step @p432 :rule reordering :premises (@p431) :args ((or @t261 @t263))) % 11.52/11.75 (step @p433 :rule chain_m_resolution :premises (@p432 @p373) :args (@t261 @t271 @t272)) % 11.52/11.75 (step @p434 :rule cnf_or_pos :args (@t295)) % 11.52/11.75 (step @p435 :rule reordering :premises (@p434) :args ((or @t291 @t262 @t294 (not @t295)))) % 11.52/11.75 (step @p436 :rule chain_m_resolution :premises (@p435 @p17 @p433 @p427) :args (@t294 (@list false false false) (@list @t47 @t261 @t295))) % 11.52/11.75 (step @p437 :rule bool-double-not-elim :args (@t259)) % 11.52/11.75 (step @p438 :rule nary_cong :premises (@p375 @p437) :args ((or @t263 (not @t260)))) % 11.52/11.75 (step @p439 :rule cnf_or_neg :args (@t263 3)) % 11.52/11.75 (step @p440 :rule eq_resolve :premises (@p439 @p438)) % 11.52/11.75 (step @p441 :rule reordering :premises (@p440) :args ((or @t259 @t263))) % 11.52/11.75 (step @p442 :rule chain_m_resolution :premises (@p441 @p373) :args (@t259 @t271 @t272)) % 11.52/11.75 (step @p443 :rule cnf_equiv_pos1 :args (@t294)) % 11.52/11.75 (step @p444 :rule reordering :premises (@p443) :args ((or @t260 @t249 (not @t294)))) % 11.52/11.75 (step @p445 :rule chain_m_resolution :premises (@p444 @p442 @p436) :args (@t249 @t273 (@list @t259 @t294))) % 11.52/11.75 (step @p446 :rule bool-double-not-elim :args (@t248)) % 11.52/11.75 (step @p447 :rule refl :args (@t250)) % 11.52/11.75 (step @p448 :rule nary_cong :premises (@p447 @p446) :args ((or @t250 (not @t249)))) % 11.52/11.75 (step @p449 :rule cnf_or_neg :args (@t250 0)) % 11.52/11.75 (step @p450 :rule eq_resolve :premises (@p449 @p448)) % 11.52/11.75 (step @p451 :rule reordering :premises (@p450) :args ((or @t248 @t250))) % 11.52/11.75 (step @p452 :rule chain_m_resolution :premises (@p451 @p445) :args (@t250 @t271 (@list @t248))) % 11.52/11.75 (step @p453 :rule cnf_or_neg :args (@t263 4)) % 11.52/11.75 (step @p454 :rule chain_m_resolution :premises (@p453 @p373) :args ((not @t258) @t271 @t272)) % 11.52/11.75 (step @p455 :rule cnf_and_neg :args (@t258)) % 11.52/11.75 (step @p456 :rule chain_m_resolution :premises (@p455 @p454 @p452) :args ((not @t257) @t275 (@list @t258 @t250))) % 11.52/11.75 (step @p457 :rule bool-double-not-elim :args (@t253)) % 11.52/11.75 (step @p458 :rule nary_cong :premises (@p358 @p457) :args ((or @t257 (not @t254)))) % 11.52/11.75 (step @p459 :rule cnf_or_neg :args (@t257 1)) % 11.52/11.75 (step @p460 :rule eq_resolve :premises (@p459 @p458)) % 11.52/11.75 (step @p461 :rule reordering :premises (@p460) :args ((or @t253 @t257))) % 11.52/11.75 (step @p462 :rule chain_m_resolution :premises (@p461 @p456) :args (@t253 @t271 @t296)) % 11.52/11.75 (step @p463 :rule bool-double-not-elim :args (@t255)) % 11.52/11.75 (step @p464 :rule nary_cong :premises (@p358 @p463) :args ((or @t257 (not @t256)))) % 11.52/11.75 (step @p465 :rule cnf_or_neg :args (@t257 0)) % 11.52/11.75 (step @p466 :rule eq_resolve :premises (@p465 @p464)) % 11.52/11.75 (step @p467 :rule reordering :premises (@p466) :args ((or @t255 @t257))) % 11.52/11.75 (step @p468 :rule chain_m_resolution :premises (@p467 @p456) :args (@t255 @t271 @t296)) % 11.52/11.75 (step @p469 :rule cnf_or_pos :args (@t297)) % 11.52/11.75 (step @p470 :rule reordering :premises (@p469) :args ((or @t256 @t254 @t298))) % 11.52/11.75 (step @p471 :rule chain_m_resolution :premises (@p470 @p468 @p462) :args (@t298 @t273 (@list @t255 @t253))) % 11.52/11.75 (step @p472 :rule eq-symm :args (@t252 @t110)) % 11.52/11.75 (step @p473 :rule cong :premises (@p472) :args (@t299)) % 0.37/11.80 (step @p474 :rule refl :args (@t256)) % 0.37/11.80 (step @p475 :rule nary_cong :premises (@p474 @p473) :args (@t300)) % 0.37/11.80 (step @p476 :rule refl :args (@t121)) % 0.37/11.80 (step @p477 :rule cong :premises (@p476 @p475) :args ((=> @t121 @t300))) % 0.37/11.80 (assume-push @p491 @t121) % 0.37/11.80 (step @p479 :rule instantiate :premises (@p392) :args ((@list @t251))) % 0.37/11.80 (step-pop @p492 :rule scope :premises (@p479)) % 0.37/11.80 (step @p480 :rule process_scope :premises (@p492) :args (@t300)) % 0.37/11.80 (step @p482 :rule eq_resolve :premises (@p480 @p477)) % 0.37/11.80 (step @p483 :rule implies_elim :premises (@p482)) % 0.37/11.80 (step @p484 false :rule chain_m_resolution :premises (@p483 @p471 @p392) :args (false @t275 (@list @t297 @t121))) % 0.37/11.80 ) % 0.37/11.80 % SZS output end Proof % 0.37/11.80 % cvc5 exiting %------------------------------------------------------------------------------