%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM469+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:39:31 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM469+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n025.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 11:22:31 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.xl $$unsorted) % 0.37/0.62 (declare-const tptp.xm $$unsorted) % 0.37/0.62 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.sz10 $$unsorted) % 0.37/0.62 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.sz00 $$unsorted) % 0.37/0.62 (declare-const tptp.xn $$unsorted) % 0.37/0.62 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.37/0.62 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.62 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.37/0.62 (define @t3 () (@list @t1)) % 0.37/0.62 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 0.37/0.62 (define @t5 () (@var "W1" $$unsorted)) % 0.37/0.62 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.37/0.62 (define @t7 () (tptp.aNaturalNumber0 @t6)) % 0.37/0.62 (define @t8 () (tptp.aNaturalNumber0 @t5)) % 0.37/0.62 (define @t9 () (and @t2 @t8)) % 0.37/0.62 (define @t10 () (@list @t1 @t5)) % 0.37/0.62 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.37/0.62 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 0.37/0.62 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 0.37/0.62 (define @t14 () (= @t6 @t13)) % 0.37/0.62 (define @t15 () (forall @t10 (=> @t9 @t14))) % 0.37/0.62 (define @t16 () (@var "W2" $$unsorted)) % 0.37/0.62 (define @t17 () (tptp.sdtpldt0 @t5 @t16)) % 0.37/0.62 (define @t18 () (tptp.aNaturalNumber0 @t16)) % 0.37/0.62 (define @t19 () (and @t2 @t8 @t18)) % 0.37/0.62 (define @t20 () (@list @t1 @t5 @t16)) % 0.37/0.62 (define @t21 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 0.37/0.62 (define @t22 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 0.37/0.62 (define @t23 () (and (= @t22 @t1) @t21)) % 0.37/0.62 (define @t24 () (=> @t2 @t23)) % 0.37/0.62 (define @t25 () (forall @t3 @t24)) % 0.37/0.62 (define @t26 () (tptp.sdtasdt0 @t5 @t1)) % 0.37/0.62 (define @t27 () (= @t12 @t26)) % 0.37/0.62 (define @t28 () (forall @t10 (=> @t9 @t27))) % 0.37/0.62 (define @t29 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 0.37/0.62 (define @t30 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 0.37/0.62 (define @t31 () (and (= @t30 tptp.sz00) @t29)) % 0.37/0.62 (define @t32 () (=> @t2 @t31)) % 0.37/0.62 (define @t33 () (forall @t3 @t32)) % 0.37/0.62 (define @t34 () (tptp.sdtasdt0 @t16 @t1)) % 0.37/0.62 (define @t35 () (tptp.sdtasdt0 @t1 @t16)) % 0.37/0.62 (define @t36 () (= @t5 @t16)) % 0.37/0.62 (define @t37 () (tptp.sdtpldt0 @t16 @t1)) % 0.37/0.62 (define @t38 () (tptp.sdtpldt0 @t1 @t16)) % 0.37/0.62 (define @t39 () (= @t26 @t34)) % 0.37/0.62 (define @t40 () (= @t12 @t35)) % 0.37/0.62 (define @t41 () (= @t1 tptp.sz00)) % 0.37/0.62 (define @t42 () (not @t41)) % 0.37/0.62 (define @t43 () (= @t5 tptp.sz00)) % 0.37/0.62 (define @t44 () (and @t18 (= @t38 @t5))) % 0.37/0.62 (define @t45 () (@list @t16)) % 0.37/0.62 (define @t46 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.37/0.62 (define @t47 () (= @t1 @t5)) % 0.37/0.62 (define @t48 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.37/0.62 (define @t49 () (tptp.sdtlseqdt0 @t5 @t16)) % 0.37/0.62 (define @t50 () (tptp.sdtpldt0 @t16 @t5)) % 0.37/0.62 (define @t51 () (and (not @t47) @t46)) % 0.37/0.62 (define @t52 () (tptp.iLess0 @t1 @t5)) % 0.37/0.62 (define @t53 () (and @t18 (= @t5 @t35))) % 0.37/0.62 (define @t54 () (tptp.doDivides0 @t1 @t5)) % 0.37/0.62 (define @t55 () (tptp.aNaturalNumber0 tptp.xn)) % 0.37/0.62 (define @t56 () (tptp.aNaturalNumber0 tptp.xm)) % 0.37/0.62 (define @t57 () (tptp.aNaturalNumber0 tptp.xl)) % 0.37/0.62 (define @t58 () (tptp.sdtasdt0 tptp.xl @t1)) % 0.37/0.62 (define @t59 () (= tptp.xn @t58)) % 0.37/0.62 (define @t60 () (and @t2 @t59)) % 0.37/0.62 (define @t61 () (exists @t3 @t60)) % 0.37/0.62 (define @t62 () (= tptp.xm @t58)) % 0.37/0.62 (define @t63 () (and @t2 @t62)) % 0.37/0.62 (define @t64 () (exists @t3 @t63)) % 0.37/0.62 (define @t65 () (tptp.sdtsldt0 tptp.xn tptp.xl)) % 0.37/0.62 (define @t66 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 0.37/0.62 (define @t67 () (tptp.sdtpldt0 @t66 @t65)) % 0.37/0.62 (define @t68 () (tptp.sdtasdt0 tptp.xl @t67)) % 0.37/0.62 (define @t69 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 0.37/0.62 (define @t70 () (= @t69 @t68)) % 0.37/0.62 (define @t71 () (tptp.aNaturalNumber0 @t65)) % 0.37/0.62 (define @t72 () (tptp.aNaturalNumber0 @t66)) % 0.37/0.62 (define @t73 () (and @t72 (= tptp.xm (tptp.sdtasdt0 tptp.xl @t66)) @t71 (= tptp.xn (tptp.sdtasdt0 tptp.xl @t65)) @t70)) % 0.37/0.62 (define @t74 () (not (= tptp.xl tptp.sz00))) % 0.37/0.62 (define @t75 () (=> @t74 @t73)) % 0.37/0.62 (define @t76 () (tptp.doDivides0 tptp.xl @t69)) % 0.37/0.62 (define @t77 () (and @t2 (= @t69 @t58))) % 0.37/0.62 (define @t78 () (exists @t3 @t77)) % 0.37/0.62 (define @t79 () (or @t78 @t76)) % 0.37/0.62 (define @t80 () (not @t79)) % 0.37/0.62 (define @t81 () (forall @t3 (not @t63))) % 0.37/0.62 (define @t82 () (not @t81)) % 0.37/0.62 (define @t83 () (not @t2)) % 0.37/0.62 (define @t84 () (@quantifiers_skolemize (forall @t3 (or @t83 (not @t62))) 0)) % 0.37/0.62 (define @t85 () (tptp.sdtasdt0 tptp.xl @t84)) % 0.37/0.62 (define @t86 () (= tptp.xm @t85)) % 0.37/0.62 (define @t87 () (not @t86)) % 0.37/0.62 (define @t88 () (tptp.aNaturalNumber0 @t84)) % 0.37/0.62 (define @t89 () (not @t88)) % 0.37/0.62 (define @t90 () (or @t89 @t87)) % 0.37/0.62 (define @t91 () (@list true)) % 0.37/0.62 (define @t92 () (@list @t90)) % 0.37/0.62 (define @t93 () (forall @t3 (not @t60))) % 0.37/0.62 (define @t94 () (not @t93)) % 0.37/0.62 (define @t95 () (@quantifiers_skolemize (forall @t3 (or @t83 (not @t59))) 0)) % 0.37/0.62 (define @t96 () (tptp.sdtasdt0 tptp.xl @t95)) % 0.37/0.62 (define @t97 () (= tptp.xn @t96)) % 0.37/0.62 (define @t98 () (not @t97)) % 0.37/0.62 (define @t99 () (tptp.aNaturalNumber0 @t95)) % 0.37/0.62 (define @t100 () (not @t99)) % 0.37/0.62 (define @t101 () (or @t100 @t98)) % 0.37/0.62 (define @t102 () (@list @t101)) % 0.37/0.62 (define @t103 () (not @t8)) % 0.37/0.62 (define @t104 () (or @t83 @t103)) % 0.37/0.62 (define @t105 () (not @t9)) % 0.37/0.62 (define @t106 () (= @t69 (tptp.sdtpldt0 tptp.xn tptp.xm))) % 0.37/0.62 (define @t107 () (not @t55)) % 0.37/0.62 (define @t108 () (not @t56)) % 0.37/0.62 (define @t109 () (or @t108 @t107 @t106)) % 0.37/0.62 (define @t110 () (@list false false false)) % 0.37/0.62 (define @t111 () (and (= @t1 @t22) @t21)) % 0.37/0.62 (define @t112 () (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00))) % 0.37/0.62 (define @t113 () (and @t112 @t112)) % 0.37/0.62 (define @t114 () (not @t4)) % 0.37/0.62 (define @t115 () (or @t114 @t113)) % 0.37/0.62 (define @t116 () (forall @t3 (or @t83 @t111))) % 0.37/0.62 (define @t117 () (@list tptp.sz00)) % 0.37/0.62 (define @t118 () (or @t114 @t112)) % 0.37/0.62 (define @t119 () (@list false)) % 0.37/0.62 (define @t120 () (@list false false)) % 0.37/0.62 (define @t121 () (= @t85 (tptp.sdtasdt0 @t84 tptp.xl))) % 0.37/0.62 (define @t122 () (not @t57)) % 0.37/0.62 (define @t123 () (or @t122 @t89 @t121)) % 0.37/0.62 (define @t124 () (= @t96 (tptp.sdtasdt0 @t95 tptp.xl))) % 0.37/0.62 (define @t125 () (or @t122 @t100 @t124)) % 0.37/0.62 (define @t126 () (= @t58 @t69)) % 0.37/0.62 (define @t127 () (and @t2 @t126)) % 0.37/0.62 (define @t128 () (forall @t3 (not @t127))) % 0.37/0.62 (define @t129 () (not @t128)) % 0.37/0.62 (define @t130 () (tptp.sdtasdt0 tptp.xl tptp.sz00)) % 0.37/0.62 (define @t131 () (not (= @t130 @t69))) % 0.37/0.62 (define @t132 () (or @t114 @t131)) % 0.37/0.62 (define @t133 () (forall @t3 (or @t83 (not @t126)))) % 0.37/0.62 (define @t134 () (= @t69 @t130)) % 0.37/0.62 (define @t135 () (not @t134)) % 0.37/0.62 (define @t136 () (or @t114 @t135)) % 0.37/0.62 (define @t137 () (@list @t133)) % 0.37/0.62 (define @t138 () (tptp.sdtpldt0 tptp.xn tptp.sz00)) % 0.37/0.62 (define @t139 () (= tptp.xn @t138)) % 0.37/0.62 (define @t140 () (and @t139 (= tptp.xn (tptp.sdtpldt0 tptp.sz00 tptp.xn)))) % 0.37/0.62 (define @t141 () (or @t107 @t140)) % 0.37/0.62 (define @t142 () (@list @t140)) % 0.37/0.62 (define @t143 () (and (= tptp.sz00 @t30) @t29)) % 0.37/0.62 (define @t144 () (= tptp.sz00 @t130)) % 0.37/0.62 (define @t145 () (and @t144 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xl)))) % 0.37/0.62 (define @t146 () (or @t122 @t145)) % 0.37/0.62 (define @t147 () (tptp.sdtasdt0 @t84 tptp.sz00)) % 0.37/0.62 (define @t148 () (= tptp.sz00 @t147)) % 0.37/0.62 (define @t149 () (and @t148 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t84)))) % 0.37/0.62 (define @t150 () (or @t89 @t149)) % 0.37/0.62 (define @t151 () (tptp.sdtasdt0 @t95 tptp.sz00)) % 0.37/0.62 (define @t152 () (= tptp.sz00 @t151)) % 0.37/0.62 (define @t153 () (and @t152 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t95)))) % 0.37/0.62 (define @t154 () (or @t100 @t153)) % 0.37/0.62 (define @t155 () (@list @t153)) % 0.37/0.62 (define @t156 () (not @t73)) % 0.37/0.62 (define @t157 () (tptp.aNaturalNumber0 @t67)) % 0.37/0.62 (define @t158 () (not @t71)) % 0.37/0.62 (define @t159 () (not @t72)) % 0.37/0.62 (define @t160 () (or @t159 @t158 @t157)) % 0.37/0.62 (define @t161 () (not (= @t68 @t69))) % 0.37/0.62 (define @t162 () (not @t157)) % 0.37/0.62 (define @t163 () (or @t162 @t161)) % 0.37/0.62 (define @t164 () (not @t70)) % 0.37/0.62 (define @t165 () (or @t162 @t164)) % 0.37/0.62 (define @t166 () (= tptp.sz00 tptp.xl)) % 0.37/0.62 (define @t167 () (not @t166)) % 0.37/0.62 (define @t168 () (not @t152)) % 0.37/0.62 (define @t169 () (not @t148)) % 0.37/0.62 (define @t170 () (not @t144)) % 0.37/0.62 (define @t171 () (not @t124)) % 0.37/0.62 (define @t172 () (not @t121)) % 0.37/0.62 (define @t173 () (not @t139)) % 0.37/0.62 (define @t174 () (not @t112)) % 0.37/0.62 (define @t175 () (not @t106)) % 0.37/0.62 (define @t176 () (= tptp.sz00 @t69)) % 0.37/0.62 (define @t177 () (and @t112 @t176 @t144 @t135)) % 0.37/0.62 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.62 (assume @p2 @t4) % 0.37/0.62 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.37/0.62 (assume @p4 @t11) % 0.37/0.62 (assume @p5 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t12)))) % 0.37/0.62 (assume @p6 @t15) % 0.37/0.62 (assume @p7 (forall @t20 (=> @t19 (= (tptp.sdtpldt0 @t6 @t16) (tptp.sdtpldt0 @t1 @t17))))) % 0.37/0.62 (assume @p8 @t25) % 0.37/0.62 (assume @p9 @t28) % 0.37/0.62 (assume @p10 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t12 @t16) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t16)))))) % 0.37/0.62 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.37/0.62 (assume @p12 @t33) % 0.37/0.62 (assume @p13 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t12 @t35)) (= (tptp.sdtasdt0 @t17 @t1) (tptp.sdtpldt0 @t26 @t34)))))) % 0.37/0.62 (assume @p14 (forall @t20 (=> @t19 (=> (or (= @t6 @t38) (= @t13 @t37)) @t36)))) % 0.37/0.62 (assume @p15 (forall @t3 (=> @t2 (=> @t42 (forall (@list @t5 @t16) (=> (and @t8 @t18) (=> (or @t40 @t39) @t36))))))) % 0.37/0.62 (assume @p16 (forall @t10 (=> @t9 (=> (= @t6 tptp.sz00) (and @t41 @t43))))) % 0.37/0.62 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or @t41 @t43))))) % 0.37/0.62 (assume @p18 (forall @t10 (=> @t9 (= @t46 (exists @t45 @t44))))) % 0.37/0.62 (assume @p19 (forall @t10 (=> @t9 (=> @t46 (forall @t45 (= (= @t16 (tptp.sdtmndt0 @t5 @t1)) @t44)))))) % 0.37/0.62 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.37/0.62 (assume @p21 (forall @t10 (=> @t9 (=> (and @t46 @t48) @t47)))) % 0.37/0.62 (assume @p22 (forall @t20 (=> @t19 (=> (and @t46 @t49) (tptp.sdtlseqdt0 @t1 @t16))))) % 0.37/0.62 (assume @p23 (forall @t10 (=> @t9 (or @t46 (and (not (= @t5 @t1)) @t48))))) % 0.37/0.62 (assume @p24 (forall @t10 (=> @t9 (=> @t51 (forall @t45 (=> @t18 (and (not (= @t37 @t50)) (tptp.sdtlseqdt0 @t37 @t50) (not (= @t38 @t17)) (tptp.sdtlseqdt0 @t38 @t17)))))))) % 0.37/0.62 (assume @p25 (forall @t20 (=> @t19 (=> (and @t42 (not @t36) @t49) (and (not @t40) (tptp.sdtlseqdt0 @t12 @t35) (not @t39) (tptp.sdtlseqdt0 @t26 @t34)))))) % 0.37/0.62 (assume @p26 (forall @t3 (=> @t2 (or @t41 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.37/0.62 (assume @p27 (forall @t10 (=> @t9 (=> @t42 (tptp.sdtlseqdt0 @t5 @t26))))) % 0.37/0.62 (assume @p28 (forall @t10 (=> @t9 (=> @t52 true)))) % 0.37/0.62 (assume @p29 (forall @t10 (=> @t9 (=> @t51 @t52)))) % 0.37/0.62 (assume @p30 (forall @t10 (=> @t9 (= @t54 (exists @t45 @t53))))) % 0.37/0.62 (assume @p31 (forall @t10 (=> @t9 (=> (and @t42 @t54) (forall @t45 (= (= @t16 (tptp.sdtsldt0 @t5 @t1)) @t53)))))) % 0.37/0.62 (assume @p32 (forall @t20 (=> @t19 (=> (and @t54 (tptp.doDivides0 @t5 @t16)) (tptp.doDivides0 @t1 @t16))))) % 0.37/0.62 (assume @p33 (and @t57 @t56 @t55)) % 0.37/0.62 (assume @p34 (and @t64 (tptp.doDivides0 tptp.xl tptp.xm) @t61 (tptp.doDivides0 tptp.xl tptp.xn))) % 0.37/0.62 (assume @p35 @t75) % 0.37/0.62 (assume @p36 @t80) % 0.37/0.62 (assume @p37 true) % 0.37/0.62 (step @p38 :rule bool-and-de-morgan :args (@t2 @t62 true)) % 0.37/0.62 (step @p39 :rule cong :premises (@p38) :args (@t81)) % 0.37/0.62 (step @p40 :rule cong :premises (@p39) :args (@t82)) % 0.37/0.62 (step @p41 :rule exists-elim :args ((= @t64 @t82))) % 0.37/0.62 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.62 (step @p43 :rule and_elim :premises (@p34) :args (0)) % 0.37/0.62 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.37/0.62 (step @p45 :rule skolemize :premises (@p44)) % 0.37/0.62 (step @p46 :rule bool-double-not-elim :args (@t86)) % 0.37/0.62 (step @p47 :rule refl :args (@t90)) % 0.37/0.62 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t90 (not @t87)))) % 0.37/0.62 (step @p49 :rule cnf_or_neg :args (@t90 1)) % 0.37/0.62 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.37/0.62 (step @p51 :rule reordering :premises (@p50) :args ((or @t86 @t90))) % 0.37/0.62 (step @p52 :rule chain_m_resolution :premises (@p51 @p45) 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:premises (@p239) :args (@t74)) % 0.37/0.62 (step @p241 :rule cong :premises (@p240 @p236) :args (@t75)) % 0.37/0.62 (step @p242 :rule eq_resolve :premises (@p35 @p241)) % 0.37/0.62 (step @p243 :rule implies_elim :premises (@p242)) % 0.37/0.62 (step @p244 :rule eq_resolve :premises (@p243 @p238)) % 0.37/0.62 (step @p245 :rule reordering :premises (@p244) :args ((or @t73 @t166))) % 0.37/0.62 (step @p246 :rule chain_m_resolution :premises (@p245 @p235) :args (@t166 @t91 (@list @t73))) % 0.37/0.62 (step @p247 :rule bool-double-not-elim :args (@t134)) % 0.37/0.62 (step @p248 :rule refl :args (@t168)) % 0.37/0.62 (step @p249 :rule refl :args (@t169)) % 0.37/0.62 (step @p250 :rule refl :args (@t170)) % 0.37/0.62 (step @p251 :rule refl :args (@t171)) % 0.37/0.62 (step @p252 :rule refl :args (@t172)) % 0.37/0.62 (step @p253 :rule refl :args (@t173)) % 0.37/0.62 (step @p254 :rule refl :args (@t174)) % 0.37/0.62 (step @p255 :rule refl :args (@t175)) % 0.37/0.62 (step @p256 :rule refl :args (@t98)) % 0.37/0.62 (step @p257 :rule refl :args (@t87)) % 0.37/0.62 (step @p258 :rule refl :args (@t167)) % 0.37/0.62 (step @p259 :rule nary_cong :premises (@p258 @p257 @p256 @p255 @p254 @p253 @p252 @p251 @p250 @p249 @p248 @p247) :args ((or @t167 @t87 @t98 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 (not @t135)))) % 0.37/0.62 (assume-push @p334 @t112) % 0.37/0.62 (assume-push @p335 @t176) % 0.37/0.62 (assume-push @p336 @t144) % 0.37/0.62 (assume-push @p337 @t135) % 0.37/0.62 (step @p264 :rule evaluate :args ((= false true))) % 0.37/0.62 (step @p265 :rule symm :premises (@p189)) % 0.37/0.62 (step @p266 :rule trans :premises (@p265 @p107)) % 0.37/0.62 (step @p267 :rule symm :premises (@p266)) % 0.37/0.62 (step @p268 :rule symm :premises (@p82)) % 0.37/0.62 (step @p269 :rule symm :premises (@p52)) % 0.37/0.62 (step @p270 :rule symm :premises (@p126)) % 0.37/0.62 (step @p271 :rule refl :args (@t84)) % 0.37/0.62 (step @p272 :rule cong :premises (@p271 @p246) :args (@t147)) % 0.37/0.62 (step @p273 :rule trans :premises (@p196 @p272 @p270 @p269)) % 0.37/0.62 (step @p274 :rule refl :args (tptp.xn)) % 0.37/0.62 (step @p275 :rule cong :premises (@p274 @p273) :args (@t138)) % 0.37/0.62 (step @p276 :rule chain_m_resolution :premises (@p172 @p170) :args (@t139 @t119 @t142)) % 0.37/0.62 (step @p277 :rule symm :premises (@p67)) % 0.37/0.62 (step @p278 :rule symm :premises (@p136)) % 0.37/0.62 (step @p279 :rule refl :args (@t95)) % 0.37/0.62 (step @p280 :rule cong :premises (@p279 @p246) :args (@t151)) % 0.37/0.62 (step @p281 :rule chain_m_resolution :premises (@p202 @p200) :args (@t152 @t119 @t155)) % 0.37/0.62 (step @p282 :rule trans :premises (@p281 @p280 @p278 @p277 @p276 @p275 @p268)) % 0.37/0.62 (step @p283 :rule symm :premises (@p282)) % 0.37/0.62 (step @p284 :rule trans :premises (@p283 @p107 @p267)) % 0.37/0.62 (step @p285 :rule true_intro :premises (@p284)) % 0.37/0.62 (step @p286 :rule false_intro :premises (@p166)) % 0.37/0.62 (step @p287 :rule symm :premises (@p286)) % 0.37/0.62 (step @p288 :rule trans :premises (@p287 @p285)) % 0.37/0.62 (step @p289 false :rule eq_resolve :premises (@p288 @p264)) % 0.37/0.62 (step-pop @p338 :rule scope :premises (@p289)) % 0.37/0.62 (step-pop @p339 :rule scope :premises (@p338)) % 0.37/0.62 (step-pop @p340 :rule scope :premises (@p339)) % 0.37/0.62 (step-pop @p341 :rule scope :premises (@p340)) % 0.37/0.62 (step @p290 :rule process_scope :premises (@p341) :args (false)) % 0.37/0.62 (assume-push @p342 @t166) % 0.37/0.62 (assume-push @p343 @t86) % 0.37/0.62 (assume-push @p344 @t97) % 0.37/0.62 (assume-push @p345 @t106) % 0.37/0.62 (assume-push @p346 @t112) % 0.37/0.62 (assume-push @p347 @t139) % 0.37/0.62 (assume-push @p348 @t121) % 0.37/0.62 (assume-push @p349 @t124) % 0.37/0.62 (assume-push @p350 @t144) % 0.37/0.62 (assume-push @p351 @t148) % 0.37/0.62 (assume-push @p352 @t152) % 0.37/0.62 (assume-push @p353 @t135) % 0.37/0.62 (step @p268 :rule symm :premises (@p82)) % 0.37/0.62 (step @p269 :rule symm :premises (@p52)) % 0.37/0.62 (step @p270 :rule symm :premises (@p126)) % 0.37/0.62 (step @p271 :rule refl :args (@t84)) % 0.37/0.62 (step @p272 :rule cong :premises (@p271 @p246) :args (@t147)) % 0.37/0.62 (step @p273 :rule trans :premises (@p196 @p272 @p270 @p269)) % 0.37/0.62 (step @p274 :rule refl :args (tptp.xn)) % 0.37/0.62 (step @p275 :rule cong :premises (@p274 @p273) :args (@t138)) % 0.37/0.62 (step @p277 :rule symm :premises (@p67)) % 0.37/0.62 (step @p278 :rule symm :premises (@p136)) % 0.37/0.62 (step @p279 :rule refl :args (@t95)) % 0.37/0.62 (step @p280 :rule cong :premises (@p279 @p246) :args (@t151)) % 0.37/0.62 (step @p307 :rule trans :premises (@p203 @p280 @p278 @p277 @p173 @p275 @p268)) % 0.37/0.62 (step @p308 :rule and_intro :premises (@p107 @p307 @p189 @p166)) % 0.37/0.62 (step-pop @p354 :rule scope :premises (@p308)) % 0.37/0.62 (step-pop @p355 :rule scope :premises (@p354)) % 0.37/0.62 (step-pop @p356 :rule scope :premises (@p355)) % 0.37/0.62 (step-pop @p357 :rule scope :premises (@p356)) % 0.37/0.62 (step-pop @p358 :rule scope :premises (@p357)) % 0.37/0.62 (step-pop @p359 :rule scope :premises (@p358)) % 0.37/0.62 (step-pop @p360 :rule scope :premises (@p359)) % 0.37/0.62 (step-pop @p361 :rule scope :premises (@p360)) % 0.37/0.62 (step-pop @p362 :rule scope :premises (@p361)) % 0.37/0.62 (step-pop @p363 :rule scope :premises (@p362)) % 0.37/0.62 (step-pop @p364 :rule scope :premises (@p363)) % 0.37/0.62 (step-pop @p365 :rule scope :premises (@p364)) % 0.37/0.62 (step @p309 :rule process_scope :premises (@p365) :args (@t177)) % 0.37/0.62 (step @p322 :rule implies_elim :premises (@p309)) % 0.37/0.62 (step @p323 :rule resolution :premises (@p322 @p290) :args (true @t177)) % 0.37/0.62 (step @p324 :rule not_and :premises (@p323)) % 0.37/0.62 (step @p325 :rule eq_resolve :premises (@p324 @p259)) % 0.37/0.62 (step @p326 :rule reordering :premises (@p325) :args ((or @t167 @t87 @t98 @t134 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168))) % 0.37/0.62 (step @p327 false :rule chain_m_resolution :premises (@p326 @p246 @p203 @p196 @p189 @p173 @p166 @p136 @p126 @p107 @p82 @p67 @p52) :args (false (@list false false false false false true false false false false false false) (@list @t166 @t152 @t148 @t144 @t139 @t134 @t124 @t121 @t112 @t106 @t97 @t86))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------