%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC358+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 : n015.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 08:59:00 AM UTC 2026 % Result : Theorem 0.36s 0.68s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC358+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:43:34 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.68 % SZS status Theorem % 0.36/0.68 % SZS output start Proof % 0.36/0.68 ( % 0.36/0.68 (declare-sort $$unsorted 0) % 0.36/0.68 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.68 (declare-const tptp.nil $$unsorted) % 0.36/0.68 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.36/0.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.68 (define @t1 () (@var "V" $$unsorted)) % 0.36/0.68 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.68 (define @t3 () (= @t2 @t1)) % 0.36/0.68 (define @t4 () (not @t3)) % 0.36/0.68 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.36/0.68 (define @t6 () (tptp.ssItem @t1)) % 0.36/0.68 (define @t7 () (@list @t1)) % 0.36/0.68 (define @t8 () (tptp.ssItem @t2)) % 0.36/0.68 (define @t9 () (@list @t2)) % 0.36/0.68 (define @t10 () (@var "X" $$unsorted)) % 0.36/0.68 (define @t11 () (tptp.cons @t1 @t10)) % 0.36/0.68 (define @t12 () (@var "W" $$unsorted)) % 0.36/0.68 (define @t13 () (tptp.ssList @t10)) % 0.36/0.68 (define @t14 () (@list @t10)) % 0.36/0.68 (define @t15 () (tptp.ssList @t12)) % 0.36/0.68 (define @t16 () (@list @t12)) % 0.36/0.68 (define @t17 () (tptp.ssList @t2)) % 0.36/0.68 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.36/0.68 (define @t19 () (tptp.app @t1 @t12)) % 0.36/0.68 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.36/0.68 (define @t21 () (tptp.ssList @t1)) % 0.36/0.68 (define @t22 () (tptp.app @t12 @t1)) % 0.36/0.68 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.36/0.68 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.36/0.68 (define @t25 () (tptp.leq @t12 @t1)) % 0.36/0.68 (define @t26 () (tptp.leq @t1 @t12)) % 0.36/0.68 (define @t27 () (@var "Z" $$unsorted)) % 0.36/0.68 (define @t28 () (@var "Y" $$unsorted)) % 0.36/0.68 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.36/0.68 (define @t30 () (tptp.ssList @t27)) % 0.36/0.68 (define @t31 () (@list @t27)) % 0.36/0.68 (define @t32 () (tptp.ssList @t28)) % 0.36/0.68 (define @t33 () (@list @t28)) % 0.36/0.68 (define @t34 () (tptp.ssItem @t12)) % 0.36/0.68 (define @t35 () (tptp.lt @t1 @t12)) % 0.36/0.68 (define @t36 () (= @t1 @t12)) % 0.36/0.68 (define @t37 () (tptp.cons @t1 @t2)) % 0.36/0.68 (define @t38 () (tptp.ssList tptp.nil)) % 0.36/0.68 (define @t39 () (= @t1 @t2)) % 0.36/0.68 (define @t40 () (tptp.cons @t12 @t1)) % 0.36/0.68 (define @t41 () (= tptp.nil @t2)) % 0.36/0.68 (define @t42 () (tptp.hd @t2)) % 0.36/0.68 (define @t43 () (not @t41)) % 0.36/0.68 (define @t44 () (tptp.tl @t2)) % 0.36/0.68 (define @t45 () (tptp.app @t2 @t1)) % 0.36/0.68 (define @t46 () (tptp.app @t1 @t2)) % 0.36/0.68 (define @t47 () (tptp.leq @t1 @t2)) % 0.36/0.68 (define @t48 () (tptp.leq @t2 @t1)) % 0.36/0.68 (define @t49 () (tptp.geq @t2 @t1)) % 0.36/0.68 (define @t50 () (tptp.lt @t1 @t2)) % 0.36/0.68 (define @t51 () (tptp.lt @t2 @t1)) % 0.36/0.68 (define @t52 () (tptp.lt @t2 @t12)) % 0.36/0.68 (define @t53 () (tptp.gt @t2 @t1)) % 0.36/0.68 (define @t54 () (tptp.memberP @t12 @t2)) % 0.36/0.68 (define @t55 () (tptp.app @t12 @t2)) % 0.36/0.68 (define @t56 () (tptp.segmentP @t1 @t12)) % 0.36/0.68 (define @t57 () (tptp.segmentP @t1 @t2)) % 0.36/0.68 (define @t58 () (tptp.segmentP @t2 @t2)) % 0.36/0.68 (define @t59 () (forall @t9 (=> @t17 @t58))) % 0.36/0.68 (define @t60 () (tptp.cons @t2 tptp.nil)) % 0.36/0.68 (define @t61 () (tptp.hd @t1)) % 0.36/0.68 (define @t62 () (= tptp.nil @t1)) % 0.36/0.68 (define @t63 () (not @t62)) % 0.36/0.68 (define @t64 () (tptp.cons @t2 @t1)) % 0.36/0.68 (define @t65 () (= @t12 @t2)) % 0.36/0.68 (define @t66 () (not (tptp.neq @t12 tptp.nil))) % 0.36/0.68 (define @t67 () (or @t66 (not (tptp.segmentP @t10 @t12)))) % 0.36/0.68 (define @t68 () (not (= tptp.nil @t12))) % 0.36/0.68 (define @t69 () (not (= tptp.nil @t10))) % 0.36/0.68 (define @t70 () (or @t69 @t68)) % 0.36/0.68 (define @t71 () (and @t70 @t67)) % 0.36/0.68 (define @t72 () (not (tptp.neq @t1 tptp.nil))) % 0.36/0.68 (define @t73 () (not (= @t2 @t12))) % 0.36/0.68 (define @t74 () (not (= @t1 @t10))) % 0.36/0.68 (define @t75 () (or @t74 @t73 @t72 @t57 @t71)) % 0.36/0.68 (define @t76 () (=> @t13 @t75)) % 0.36/0.68 (define @t77 () (forall @t14 @t76)) % 0.36/0.68 (define @t78 () (=> @t15 @t77)) % 0.36/0.68 (define @t79 () (forall @t16 @t78)) % 0.36/0.68 (define @t80 () (=> @t21 @t79)) % 0.36/0.68 (define @t81 () (forall @t7 @t80)) % 0.36/0.68 (define @t82 () (=> @t17 @t81)) % 0.36/0.68 (define @t83 () (forall @t9 @t82)) % 0.36/0.68 (define @t84 () (not @t83)) % 0.36/0.68 (define @t85 () (@var "BOUND_VARIABLE_10974" $$unsorted)) % 0.36/0.68 (define @t86 () (tptp.segmentP @t85 @t2)) % 0.36/0.68 (define @t87 () (not (tptp.neq @t2 tptp.nil))) % 0.36/0.68 (define @t88 () (or @t87 (not @t86))) % 0.36/0.68 (define @t89 () (not (= @t2 tptp.nil))) % 0.36/0.68 (define @t90 () (not (= @t85 tptp.nil))) % 0.36/0.68 (define @t91 () (or @t90 @t89)) % 0.36/0.68 (define @t92 () (and @t91 @t88)) % 0.36/0.68 (define @t93 () (not (tptp.neq @t85 tptp.nil))) % 0.36/0.68 (define @t94 () (not (tptp.ssList @t85))) % 0.36/0.68 (define @t95 () (not @t17)) % 0.36/0.68 (define @t96 () (or @t95 @t94 @t93 @t86 @t92)) % 0.36/0.68 (define @t97 () (or @t94 @t93 @t86 @t92)) % 0.36/0.68 (define @t98 () (or @t95 @t97)) % 0.36/0.68 (define @t99 () (@list @t2 @t85)) % 0.36/0.68 (define @t100 () (forall @t99 @t98)) % 0.36/0.68 (define @t101 () (@list @t85)) % 0.36/0.68 (define @t102 () (forall @t101 @t98)) % 0.36/0.68 (define @t103 () (forall @t101 @t97)) % 0.36/0.68 (define @t104 () (or @t95 @t103)) % 0.36/0.68 (define @t105 () (not (= @t1 tptp.nil))) % 0.36/0.68 (define @t106 () (and (or @t105 @t89) (or @t87 (not @t57)))) % 0.36/0.68 (define @t107 () (not @t21)) % 0.36/0.68 (define @t108 () (or @t107 @t72 @t57 @t106)) % 0.36/0.68 (define @t109 () (or @t95 (forall @t7 @t108))) % 0.36/0.68 (define @t110 () (or @t95 @t108)) % 0.36/0.68 (define @t111 () (or @t107 @t72 @t57 @t95 @t106)) % 0.36/0.68 (define @t112 () (or @t72 @t57 @t107 @t95 @t106)) % 0.36/0.68 (define @t113 () (or @t95 @t106)) % 0.36/0.68 (define @t114 () (not (= @t2 @t2))) % 0.36/0.68 (define @t115 () (or @t95 @t114 @t106)) % 0.36/0.68 (define @t116 () (not (= @t12 tptp.nil))) % 0.36/0.68 (define @t117 () (and (or @t105 @t116) (or @t66 (not @t56)))) % 0.36/0.68 (define @t118 () (not @t15)) % 0.36/0.68 (define @t119 () (or @t73 @t118 @t73 @t117)) % 0.36/0.68 (define @t120 () (or @t118 @t73 @t117)) % 0.36/0.68 (define @t121 () (forall @t16 @t120)) % 0.36/0.68 (define @t122 () (or @t72 @t57 @t107 @t121)) % 0.36/0.68 (define @t123 () (or @t72 @t57 @t107 @t120)) % 0.36/0.68 (define @t124 () (or @t118 @t73 @t72 @t57 @t107 @t117)) % 0.36/0.68 (define @t125 () (or @t73 @t72 @t57 @t107 @t117)) % 0.36/0.68 (define @t126 () (or @t107 @t117)) % 0.36/0.68 (define @t127 () (not (= @t1 @t1))) % 0.36/0.68 (define @t128 () (or @t107 @t127 @t117)) % 0.36/0.68 (define @t129 () (and (or (not (= @t10 tptp.nil)) @t116) @t67)) % 0.36/0.68 (define @t130 () (not @t13)) % 0.36/0.68 (define @t131 () (or @t74 @t130 @t74 @t129)) % 0.36/0.68 (define @t132 () (or @t130 @t74 @t129)) % 0.36/0.68 (define @t133 () (forall @t14 @t132)) % 0.36/0.68 (define @t134 () (or @t73 @t72 @t57 @t133)) % 0.36/0.68 (define @t135 () (or @t73 @t72 @t57 @t132)) % 0.36/0.68 (define @t136 () (or @t130 @t74 @t73 @t72 @t57 @t129)) % 0.36/0.68 (define @t137 () (or @t74 @t73 @t72 @t57 @t129)) % 0.36/0.68 (define @t138 () (forall @t99 (or @t95 @t94 @t93 @t86 (and (or (not (= tptp.nil @t85)) @t89) @t88)))) % 0.36/0.68 (define @t139 () (@quantifiers_skolemize @t138 0)) % 0.36/0.68 (define @t140 () (@quantifiers_skolemize @t138 1)) % 0.36/0.68 (define @t141 () (tptp.segmentP @t140 @t139)) % 0.36/0.68 (define @t142 () (not @t141)) % 0.36/0.68 (define @t143 () (or (not (tptp.neq @t139 tptp.nil)) @t142)) % 0.36/0.68 (define @t144 () (= tptp.nil @t139)) % 0.36/0.68 (define @t145 () (not @t144)) % 0.36/0.68 (define @t146 () (= tptp.nil @t140)) % 0.36/0.68 (define @t147 () (not @t146)) % 0.36/0.68 (define @t148 () (or @t147 @t145)) % 0.36/0.68 (define @t149 () (and @t148 @t143)) % 0.36/0.68 (define @t150 () (not (tptp.neq @t140 tptp.nil))) % 0.36/0.68 (define @t151 () (not (tptp.ssList @t140))) % 0.36/0.68 (define @t152 () (not (tptp.ssList @t139))) % 0.36/0.68 (define @t153 () (or @t152 @t151 @t150 @t141 @t149)) % 0.36/0.68 (define @t154 () (not @t153)) % 0.36/0.68 (define @t155 () (not @t138)) % 0.36/0.68 (define @t156 () (not (= @t139 tptp.nil))) % 0.36/0.68 (define @t157 () (or @t147 @t156)) % 0.36/0.68 (define @t158 () (and @t157 @t143)) % 0.36/0.68 (define @t159 () (or @t152 @t151 @t150 @t141 @t158)) % 0.36/0.68 (define @t160 () (not @t159)) % 0.36/0.68 (define @t161 () (@list true)) % 0.36/0.68 (define @t162 () (@list @t153)) % 0.36/0.68 (define @t163 () (@list true false)) % 0.36/0.68 (define @t164 () (@list @t148)) % 0.36/0.68 (define @t165 () (tptp.segmentP tptp.nil tptp.nil)) % 0.36/0.68 (define @t166 () (not @t38)) % 0.36/0.68 (define @t167 () (or @t166 @t165)) % 0.36/0.68 (define @t168 () (not @t167)) % 0.36/0.68 (define @t169 () (forall @t9 (or @t95 @t58))) % 0.36/0.68 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.36/0.68 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.36/0.68 (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))))))))))) % 0.36/0.68 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.36/0.68 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.36/0.68 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.36/0.68 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.36/0.68 (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))))))))))))))))) % 0.36/0.68 (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)))))))))))))))) % 0.36/0.68 (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))))))))))))))))) % 0.36/0.68 (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))))))))))))))) % 0.36/0.68 (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))))))))))))))) % 0.36/0.68 (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)))))))))))))))) % 0.36/0.68 (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))))))))))))) % 0.36/0.68 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.36/0.68 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.36/0.68 (assume @p17 @t38) % 0.36/0.68 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.36/0.68 (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) @t39))))))))))) % 0.36/0.68 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.36/0.68 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.36/0.68 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.36/0.68 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.36/0.68 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.36/0.68 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.36/0.68 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.36/0.68 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.36/0.68 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.36/0.68 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.36/0.68 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.36/0.68 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.36/0.68 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.36/0.68 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.36/0.68 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.36/0.68 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.36/0.68 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.36/0.68 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))))))))) % 0.36/0.68 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.36/0.68 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.36/0.68 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:args ((forall @t14 (=> @t13 @t137)))) % 0.36/0.68 (step @p207 :rule trans :premises (@p206 @p202)) % 0.36/0.68 (step @p208 :rule refl :args (@t67)) % 0.36/0.68 (step @p209 :rule eq-symm :args (tptp.nil @t12)) % 0.36/0.68 (step @p210 :rule cong :premises (@p209) :args (@t68)) % 0.36/0.68 (step @p211 :rule eq-symm :args (tptp.nil @t10)) % 0.36/0.68 (step @p212 :rule cong :premises (@p211) :args (@t69)) % 0.36/0.68 (step @p213 :rule nary_cong :premises (@p212 @p210) :args (@t70)) % 0.36/0.68 (step @p214 :rule nary_cong :premises (@p213 @p208) :args (@t71)) % 0.36/0.68 (step @p215 :rule refl :args (@t74)) % 0.36/0.68 (step @p216 :rule nary_cong :premises (@p215 @p195 @p162 @p161 @p214) :args (@t75)) % 0.36/0.68 (step @p217 :rule refl :args (@t13)) % 0.36/0.68 (step @p218 :rule cong :premises (@p217 @p216) :args (@t76)) % 0.36/0.68 (step @p219 :rule cong :premises (@p218) :args (@t77)) % 0.36/0.68 (step @p220 :rule trans :premises (@p219 @p207)) % 0.36/0.68 (step @p221 :rule refl :args (@t15)) % 0.36/0.68 (step @p222 :rule cong :premises (@p221 @p220) :args (@t78)) % 0.36/0.68 (step @p223 :rule cong :premises (@p222) :args (@t79)) % 0.36/0.68 (step @p224 :rule trans :premises (@p223 @p174)) % 0.36/0.68 (step @p225 :rule refl :args (@t21)) % 0.36/0.68 (step @p226 :rule cong :premises (@p225 @p224) :args (@t80)) % 0.36/0.68 (step @p227 :rule cong :premises (@p226) :args (@t81)) % 0.36/0.68 (step @p228 :rule trans :premises (@p227 @p138)) % 0.36/0.68 (step @p229 :rule refl :args (@t17)) % 0.36/0.68 (step @p230 :rule cong :premises (@p229 @p228) :args (@t82)) % 0.36/0.68 (step @p231 :rule cong :premises (@p230) :args (@t83)) % 0.36/0.68 (step @p232 :rule trans :premises (@p231 @p129)) % 0.36/0.68 (step @p233 :rule cong :premises (@p232) :args (@t84)) % 0.36/0.68 (step @p234 :rule eq_resolve :premises (@p96 @p233)) % 0.36/0.68 (step @p235 :rule refl :args (@t154)) % 0.36/0.68 (step @p236 :rule bool-double-not-elim :args (@t138)) % 0.36/0.68 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or (not @t155) @t154))) % 0.36/0.68 (step @p238 :rule refl :args (@t143)) % 0.36/0.68 (step @p239 :rule eq-symm :args (@t139 tptp.nil)) % 0.36/0.68 (step @p240 :rule cong :premises (@p239) :args (@t156)) % 0.36/0.68 (step @p241 :rule refl :args (@t147)) % 0.36/0.68 (step @p242 :rule nary_cong :premises (@p241 @p240) :args (@t157)) % 0.36/0.68 (step @p243 :rule nary_cong :premises (@p242 @p238) :args (@t158)) % 0.36/0.68 (step @p244 :rule refl :args (@t141)) % 0.36/0.68 (step @p245 :rule refl :args (@t150)) % 0.36/0.68 (step @p246 :rule refl :args (@t151)) % 0.36/0.68 (step @p247 :rule refl :args (@t152)) % 0.36/0.68 (step @p248 :rule nary_cong :premises (@p247 @p246 @p245 @p244 @p243) :args (@t159)) % 0.36/0.68 (step @p249 :rule cong :premises (@p248) :args (@t160)) % 0.36/0.68 (step @p250 :rule refl :args (@t155)) % 0.36/0.68 (step @p251 :rule cong :premises (@p250 @p249) :args ((=> @t155 @t160))) % 0.36/0.68 (assume-push @p299 @t155) % 0.36/0.68 (step @p253 :rule skolemize :premises (@p234)) % 0.36/0.68 (step-pop @p300 :rule scope :premises (@p253)) % 0.36/0.68 (step @p254 :rule process_scope :premises (@p300) :args (@t160)) % 0.36/0.68 (step @p256 :rule eq_resolve :premises (@p254 @p251)) % 0.36/0.68 (step @p257 :rule implies_elim :premises (@p256)) % 0.36/0.68 (step @p258 :rule eq_resolve :premises (@p257 @p237)) % 0.36/0.68 (step @p259 :rule chain_m_resolution :premises (@p258 @p234) :args (@t154 @t161 (@list @t138))) % 0.36/0.68 (step @p260 :rule cnf_or_neg :args (@t153 3)) % 0.36/0.68 (step @p261 :rule reordering :premises (@p260) :args ((or @t142 @t153))) % 0.36/0.68 (step @p262 :rule chain_m_resolution :premises (@p261 @p259) :args (@t142 @t161 @t162)) % 0.36/0.68 (step @p263 :rule false_intro :premises (@p262)) % 0.36/0.68 (step @p264 :rule bool-double-not-elim :args (@t141)) % 0.36/0.68 (step @p265 :rule nary_cong :premises (@p238 @p264) :args ((or @t143 (not @t142)))) % 0.36/0.68 (step @p266 :rule cnf_or_neg :args (@t143 1)) % 0.36/0.68 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 0.36/0.68 (step @p268 :rule reordering :premises (@p267) :args ((or @t141 @t143))) % 0.36/0.68 (step @p269 :rule chain_m_resolution :premises (@p268 @p262) :args (@t143 @t161 (@list @t141))) % 0.36/0.68 (step @p270 :rule cnf_or_neg :args (@t153 4)) % 0.36/0.68 (step @p271 :rule chain_m_resolution :premises (@p270 @p259) :args ((not @t149) @t161 @t162)) % 0.36/0.68 (step @p272 :rule cnf_and_neg :args (@t149)) % 0.36/0.68 (step @p273 :rule chain_m_resolution :premises (@p272 @p271 @p269) :args ((not @t148) @t163 (@list @t149 @t143))) % 0.36/0.68 (step @p274 :rule bool-double-not-elim :args (@t144)) % 0.36/0.68 (step @p275 :rule refl :args (@t148)) % 0.36/0.68 (step @p276 :rule nary_cong :premises (@p275 @p274) :args ((or @t148 (not @t145)))) % 0.36/0.68 (step @p277 :rule cnf_or_neg :args (@t148 1)) % 0.36/0.68 (step @p278 :rule eq_resolve :premises (@p277 @p276)) % 0.36/0.68 (step @p279 :rule reordering :premises (@p278) :args ((or @t144 @t148))) % 0.36/0.68 (step @p280 :rule chain_m_resolution :premises (@p279 @p273) :args (@t144 @t161 @t164)) % 0.36/0.68 (step @p281 :rule bool-double-not-elim :args (@t146)) % 0.36/0.68 (step @p282 :rule nary_cong :premises (@p275 @p281) :args ((or @t148 (not @t147)))) % 0.36/0.68 (step @p283 :rule cnf_or_neg :args (@t148 0)) % 0.36/0.68 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 0.36/0.68 (step @p285 :rule reordering :premises (@p284) :args ((or @t146 @t148))) % 0.36/0.68 (step @p286 :rule chain_m_resolution :premises (@p285 @p273) :args (@t146 @t161 @t164)) % 0.36/0.68 (step @p287 :rule cong :premises (@p286 @p280) :args (@t165)) % 0.36/0.68 (step @p288 :rule trans :premises (@p287 @p263)) % 0.36/0.68 (step @p289 :rule false_elim :premises (@p288)) % 0.36/0.68 (step @p290 :rule cnf_or_pos :args (@t167)) % 0.36/0.68 (step @p291 :rule reordering :premises (@p290) :args ((or @t166 @t165 @t168))) % 0.36/0.68 (step @p292 :rule chain_m_resolution :premises (@p291 @p17 @p289) :args (@t168 (@list false true) (@list @t38 @t165))) % 0.36/0.68 (assume-push @p301 @t169) % 0.36/0.68 (step @p294 :rule instantiate :premises (@p100) :args ((@list tptp.nil))) % 0.36/0.68 (step-pop @p302 :rule scope :premises (@p294)) % 0.36/0.68 (step @p295 :rule process_scope :premises (@p302) :args (@t167)) % 0.36/0.68 (step @p297 :rule implies_elim :premises (@p295)) % 0.36/0.68 (step @p298 false :rule chain_m_resolution :premises (@p297 @p292 @p100) :args (false @t163 (@list @t167 @t169))) % 0.36/0.68 ) % 0.36/0.68 % SZS output end Proof % 0.36/0.68 % cvc5 exiting %------------------------------------------------------------------------------