%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM480+1 : 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 : n002.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 08:39:33 AM UTC 2026 % Result : Theorem 87.41s 87.66s % Output : Proof 87.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM480+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.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 11:22:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 87.41/87.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 87.41/87.66 --- Run --no-e-matching --full-saturate-quant at 6... % 87.41/87.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 87.41/87.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 87.41/87.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 87.41/87.66 --- Run --trigger-sel=max --full-saturate-quant at 15... % 87.41/87.66 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 87.41/87.66 % SZS status Theorem % 87.41/87.66 % SZS output start Proof % 87.41/87.66 ( % 87.41/87.66 (declare-sort $$unsorted 0) % 87.41/87.66 (declare-const tptp.xn $$unsorted) % 87.41/87.66 (declare-const tptp.xl $$unsorted) % 87.41/87.66 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 87.41/87.66 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 87.41/87.66 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 87.41/87.66 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 87.41/87.66 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 87.41/87.66 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 87.41/87.66 (declare-const tptp.sz10 $$unsorted) % 87.41/87.66 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 87.41/87.66 (declare-const tptp.sz00 $$unsorted) % 87.41/87.66 (declare-const tptp.xm $$unsorted) % 87.41/87.66 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 87.41/87.66 (define @t1 () (@var "W0" $$unsorted)) % 87.41/87.66 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 87.41/87.66 (define @t3 () (@list @t1)) % 87.41/87.66 (define @t4 () (@var "W1" $$unsorted)) % 87.41/87.66 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 87.41/87.66 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 87.41/87.66 (define @t7 () (and @t2 @t6)) % 87.41/87.66 (define @t8 () (@list @t1 @t4)) % 87.41/87.66 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 87.41/87.66 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 87.41/87.66 (define @t11 () (forall @t8 (=> @t7 @t10))) % 87.41/87.66 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 87.41/87.66 (define @t13 () (@var "W2" $$unsorted)) % 87.41/87.66 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 87.41/87.66 (define @t15 () (tptp.aNaturalNumber0 @t13)) % 87.41/87.66 (define @t16 () (and @t2 @t6 @t15)) % 87.41/87.66 (define @t17 () (@list @t1 @t4 @t13)) % 87.41/87.66 (define @t18 () (tptp.sdtasdt0 @t4 @t1)) % 87.41/87.66 (define @t19 () (= @t9 @t18)) % 87.41/87.66 (define @t20 () (forall @t8 (=> @t7 @t19))) % 87.41/87.66 (define @t21 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 87.41/87.66 (define @t22 () (forall @t17 (=> @t16 @t21))) % 87.41/87.66 (define @t23 () (tptp.sdtasdt0 @t13 @t1)) % 87.41/87.66 (define @t24 () (tptp.sdtasdt0 @t1 @t13)) % 87.41/87.66 (define @t25 () (= @t4 @t13)) % 87.41/87.66 (define @t26 () (tptp.sdtpldt0 @t13 @t1)) % 87.41/87.66 (define @t27 () (tptp.sdtpldt0 @t1 @t13)) % 87.41/87.66 (define @t28 () (= @t18 @t23)) % 87.41/87.66 (define @t29 () (= @t9 @t24)) % 87.41/87.66 (define @t30 () (and @t6 @t15)) % 87.41/87.66 (define @t31 () (= @t1 tptp.sz00)) % 87.41/87.66 (define @t32 () (not @t31)) % 87.41/87.66 (define @t33 () (= @t4 tptp.sz00)) % 87.41/87.66 (define @t34 () (and @t15 (= @t27 @t4))) % 87.41/87.66 (define @t35 () (@list @t13)) % 87.41/87.66 (define @t36 () (tptp.sdtlseqdt0 @t1 @t4)) % 87.41/87.66 (define @t37 () (= @t1 @t4)) % 87.41/87.66 (define @t38 () (tptp.sdtlseqdt0 @t4 @t1)) % 87.41/87.66 (define @t39 () (tptp.sdtlseqdt0 @t4 @t13)) % 87.41/87.66 (define @t40 () (tptp.sdtpldt0 @t13 @t4)) % 87.41/87.66 (define @t41 () (and (not @t37) @t36)) % 87.41/87.66 (define @t42 () (tptp.iLess0 @t1 @t4)) % 87.41/87.66 (define @t43 () (= @t4 @t24)) % 87.41/87.66 (define @t44 () (and @t15 @t43)) % 87.41/87.66 (define @t45 () (exists @t35 @t44)) % 87.41/87.66 (define @t46 () (tptp.doDivides0 @t1 @t4)) % 87.41/87.66 (define @t47 () (= @t46 @t45)) % 87.41/87.66 (define @t48 () (=> @t7 @t47)) % 87.41/87.66 (define @t49 () (forall @t8 @t48)) % 87.41/87.66 (define @t50 () (tptp.sdtsldt0 @t4 @t1)) % 87.41/87.66 (define @t51 () (= @t13 @t50)) % 87.41/87.66 (define @t52 () (forall @t35 (= @t51 @t44))) % 87.41/87.66 (define @t53 () (and @t32 @t46)) % 87.41/87.66 (define @t54 () (=> @t53 @t52)) % 87.41/87.66 (define @t55 () (=> @t7 @t54)) % 87.41/87.66 (define @t56 () (forall @t8 @t55)) % 87.41/87.66 (define @t57 () (tptp.doDivides0 @t1 @t13)) % 87.41/87.66 (define @t58 () (tptp.doDivides0 @t1 @t14)) % 87.41/87.66 (define @t59 () (tptp.aNaturalNumber0 tptp.xm)) % 87.41/87.66 (define @t60 () (tptp.aNaturalNumber0 tptp.xl)) % 87.41/87.66 (define @t61 () (tptp.doDivides0 tptp.xl tptp.xm)) % 87.41/87.66 (define @t62 () (= tptp.xl tptp.sz00)) % 87.41/87.66 (define @t63 () (tptp.aNaturalNumber0 tptp.xn)) % 87.41/87.66 (define @t64 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 87.41/87.66 (define @t65 () (tptp.sdtsldt0 @t64 tptp.xl)) % 87.41/87.66 (define @t66 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 87.41/87.66 (define @t67 () (tptp.sdtasdt0 tptp.xl tptp.xn)) % 87.41/87.66 (define @t68 () (tptp.sdtasdt0 @t67 @t66)) % 87.41/87.66 (define @t69 () (tptp.sdtasdt0 tptp.xn @t66)) % 87.41/87.66 (define @t70 () (not @t6)) % 87.41/87.66 (define @t71 () (not @t2)) % 87.41/87.66 (define @t72 () (or @t71 @t70)) % 87.41/87.66 (define @t73 () (not @t7)) % 87.41/87.66 (define @t74 () (tptp.sdtasdt0 tptp.xn tptp.xl)) % 87.41/87.66 (define @t75 () (= @t67 @t74)) % 87.41/87.66 (define @t76 () (not @t63)) % 87.41/87.66 (define @t77 () (not @t60)) % 87.41/87.66 (define @t78 () (or @t77 @t76 @t75)) % 87.41/87.66 (define @t79 () (@list false false false)) % 87.41/87.66 (define @t80 () (not @t15)) % 87.41/87.66 (define @t81 () (= @t46 (not (forall @t35 (or @t80 (not @t43)))))) % 87.41/87.66 (define @t82 () (forall @t35 (not @t44))) % 87.41/87.66 (define @t83 () (not @t82)) % 87.41/87.66 (define @t84 () (tptp.sdtasdt0 tptp.xl @t13)) % 87.41/87.66 (define @t85 () (forall @t35 (or @t80 (not (= tptp.xm @t84))))) % 87.41/87.66 (define @t86 () (not @t85)) % 87.41/87.66 (define @t87 () (= @t61 @t86)) % 87.41/87.66 (define @t88 () (not @t59)) % 87.41/87.66 (define @t89 () (or @t77 @t88 @t87)) % 87.41/87.66 (define @t90 () (not @t61)) % 87.41/87.66 (define @t91 () (@list false false)) % 87.41/87.66 (define @t92 () (@quantifiers_skolemize @t85 0)) % 87.41/87.66 (define @t93 () (= tptp.xm (tptp.sdtasdt0 tptp.xl @t92))) % 87.41/87.66 (define @t94 () (not @t93)) % 87.41/87.66 (define @t95 () (tptp.aNaturalNumber0 @t92)) % 87.41/87.66 (define @t96 () (not @t95)) % 87.41/87.66 (define @t97 () (or @t96 @t94)) % 87.41/87.66 (define @t98 () (@list true)) % 87.41/87.66 (define @t99 () (@list @t97)) % 87.41/87.66 (define @t100 () (@var "BOUND_VARIABLE_7944" $$unsorted)) % 87.41/87.66 (define @t101 () (and (tptp.aNaturalNumber0 @t100) (= @t4 (tptp.sdtasdt0 @t1 @t100)))) % 87.41/87.66 (define @t102 () (= @t101 (= @t100 @t50))) % 87.41/87.66 (define @t103 () (not @t46)) % 87.41/87.66 (define @t104 () (or @t71 @t70 @t31 @t103 @t102)) % 87.41/87.66 (define @t105 () (@list @t1 @t4 @t100)) % 87.41/87.66 (define @t106 () (forall @t105 @t104)) % 87.41/87.66 (define @t107 () (@list @t100)) % 87.41/87.66 (define @t108 () (forall @t107 @t104)) % 87.41/87.66 (define @t109 () (forall @t107 @t102)) % 87.41/87.66 (define @t110 () (or @t71 @t70 @t31 @t103 @t109)) % 87.41/87.66 (define @t111 () (forall @t35 (= @t44 @t51))) % 87.41/87.66 (define @t112 () (or @t71 @t70 @t31 @t103 @t111)) % 87.41/87.66 (define @t113 () (or @t31 @t103 @t111)) % 87.41/87.66 (define @t114 () (=> @t53 @t111)) % 87.41/87.66 (define @t115 () (= @t66 @t92)) % 87.41/87.66 (define @t116 () (and @t95 @t93)) % 87.41/87.66 (define @t117 () (= @t116 @t115)) % 87.41/87.66 (define @t118 () (or @t77 @t88 @t62 @t90 @t117)) % 87.41/87.66 (define @t119 () (forall @t105 (or @t71 @t70 @t31 @t103 (= @t101 (= @t50 @t100))))) % 87.41/87.66 (define @t120 () (= tptp.sz00 tptp.xl)) % 87.41/87.66 (define @t121 () (or @t77 @t88 @t120 @t90 @t117)) % 87.41/87.66 (define @t122 () (@list false)) % 87.41/87.66 (define @t123 () (@list @t119)) % 87.41/87.66 (define @t124 () (or @t71 @t70 @t80)) % 87.41/87.66 (define @t125 () (tptp.aNaturalNumber0 @t66)) % 87.41/87.66 (define @t126 () (tptp.sdtasdt0 tptp.xl @t69)) % 87.41/87.66 (define @t127 () (= @t68 @t126)) % 87.41/87.66 (define @t128 () (not @t125)) % 87.41/87.66 (define @t129 () (or @t77 @t76 @t128 @t127)) % 87.41/87.66 (define @t130 () (@list false false false false)) % 87.41/87.66 (define @t131 () (tptp.aNaturalNumber0 @t69)) % 87.41/87.66 (define @t132 () (or @t76 @t128 @t131)) % 87.41/87.66 (define @t133 () (= @t64 @t126)) % 87.41/87.66 (define @t134 () (and @t131 @t133)) % 87.41/87.66 (define @t135 () (not @t133)) % 87.41/87.66 (define @t136 () (not @t131)) % 87.41/87.66 (define @t137 () (= @t65 @t69)) % 87.41/87.66 (define @t138 () (= @t137 @t134)) % 87.41/87.66 (define @t139 () (tptp.aNaturalNumber0 @t64)) % 87.41/87.66 (define @t140 () (or @t76 @t88 @t139)) % 87.41/87.66 (define @t141 () (tptp.doDivides0 tptp.xl @t64)) % 87.41/87.66 (define @t142 () (not @t141)) % 87.41/87.66 (define @t143 () (not @t139)) % 87.41/87.66 (define @t144 () (or @t77 @t143 @t62 @t142 (= @t134 @t137))) % 87.41/87.66 (define @t145 () (or @t77 @t143 @t120 @t142 @t138)) % 87.41/87.66 (define @t146 () (forall @t35 (or @t80 (not (= @t64 @t84))))) % 87.41/87.66 (define @t147 () (not @t146)) % 87.41/87.66 (define @t148 () (= @t141 @t147)) % 87.41/87.66 (define @t149 () (or @t77 @t143 @t148)) % 87.41/87.66 (define @t150 () (not @t148)) % 87.41/87.66 (define @t151 () (or @t136 @t135)) % 87.41/87.66 (define @t152 () (tptp.sdtasdt0 tptp.xl @t66)) % 87.41/87.66 (define @t153 () (tptp.sdtasdt0 tptp.xn @t152)) % 87.41/87.66 (define @t154 () (tptp.sdtasdt0 @t74 @t66)) % 87.41/87.66 (define @t155 () (= @t154 @t153)) % 87.41/87.66 (define @t156 () (or @t76 @t77 @t128 @t155)) % 87.41/87.66 (define @t157 () (not @t155)) % 87.41/87.66 (define @t158 () (not @t115)) % 87.41/87.66 (define @t159 () (not @t127)) % 87.41/87.66 (define @t160 () (not @t75)) % 87.41/87.66 (define @t161 () (= @t153 @t154)) % 87.41/87.66 (define @t162 () (and @t155 @t157)) % 87.41/87.66 (assume @p1 (forall @t3 (=> @t2 true))) % 87.41/87.66 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 87.41/87.66 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 87.41/87.66 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 87.41/87.66 (assume @p5 @t11) % 87.41/87.66 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 87.41/87.66 (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))))) % 87.41/87.66 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 87.41/87.66 (assume @p9 @t20) % 87.41/87.66 (assume @p10 @t22) % 87.41/87.66 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 87.41/87.66 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 87.41/87.66 (assume @p13 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t24)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t18 @t23)))))) % 87.41/87.66 (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t5 @t27) (= @t12 @t26)) @t25)))) % 87.41/87.66 (assume @p15 (forall @t3 (=> @t2 (=> @t32 (forall (@list @t4 @t13) (=> @t30 (=> (or @t29 @t28) @t25))))))) % 87.41/87.66 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t31 @t33))))) % 87.41/87.66 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t31 @t33))))) % 87.41/87.66 (assume @p18 (forall @t8 (=> @t7 (= @t36 (exists @t35 @t34))))) % 87.41/87.66 (assume @p19 (forall @t8 (=> @t7 (=> @t36 (forall @t35 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t34)))))) % 87.41/87.66 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 87.41/87.66 (assume @p21 (forall @t8 (=> @t7 (=> (and @t36 @t38) @t37)))) % 87.41/87.66 (assume @p22 (forall @t17 (=> @t16 (=> (and @t36 @t39) (tptp.sdtlseqdt0 @t1 @t13))))) % 87.41/87.66 (assume @p23 (forall @t8 (=> @t7 (or @t36 (and (not (= @t4 @t1)) @t38))))) % 87.41/87.66 (assume @p24 (forall @t8 (=> @t7 (=> @t41 (forall @t35 (=> @t15 (and (not (= @t26 @t40)) (tptp.sdtlseqdt0 @t26 @t40) (not (= @t27 @t14)) (tptp.sdtlseqdt0 @t27 @t14)))))))) % 87.41/87.66 (assume @p25 (forall @t17 (=> @t16 (=> (and @t32 (not @t25) @t39) (and (not @t29) (tptp.sdtlseqdt0 @t9 @t24) (not @t28) (tptp.sdtlseqdt0 @t18 @t23)))))) % 87.41/87.66 (assume @p26 (forall @t3 (=> @t2 (or @t31 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 87.41/87.66 (assume @p27 (forall @t8 (=> @t7 (=> @t32 (tptp.sdtlseqdt0 @t4 @t18))))) % 87.41/87.66 (assume @p28 (forall @t8 (=> @t7 (=> @t42 true)))) % 87.41/87.66 (assume @p29 (forall @t8 (=> @t7 (=> @t41 @t42)))) % 87.41/87.66 (assume @p30 @t49) % 87.41/87.66 (assume @p31 @t56) % 87.41/87.66 (assume @p32 (forall @t17 (=> @t16 (=> (and @t46 (tptp.doDivides0 @t4 @t13)) @t57)))) % 87.41/87.66 (assume @p33 (forall @t17 (=> @t16 (=> (and @t46 @t57) @t58)))) % 87.41/87.66 (assume @p34 (forall @t17 (=> @t16 (=> (and @t46 @t58) @t57)))) % 87.41/87.66 (assume @p35 (forall @t8 (=> @t7 (=> (and @t46 (not @t33)) @t36)))) % 87.41/87.66 (assume @p36 (and @t60 @t59)) % 87.41/87.66 (assume @p37 (and (not @t62) @t61)) % 87.41/87.66 (assume @p38 @t63) % 87.41/87.66 (assume @p39 (= @t68 (tptp.sdtasdt0 tptp.xl @t65))) % 87.41/87.66 (assume @p40 (not (= @t69 @t65))) % 87.41/87.66 (assume @p41 true) % 87.41/87.66 (step @p42 :rule aci_norm :args ((= (or @t72 @t19) (or @t71 @t70 @t19)))) % 87.41/87.66 (step @p43 :rule refl :args (@t19)) % 87.41/87.66 (step @p44 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 87.41/87.66 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t73 @t19))) % 87.41/87.66 (step @p46 :rule trans :premises (@p45 @p42)) % 87.41/87.66 (step @p47 :rule bool-impl-elim :args (@t7 @t19)) % 87.41/87.66 (step @p48 :rule trans :premises (@p47 @p46)) % 87.41/87.66 (step @p49 :rule cong :premises (@p48) :args (@t20)) % 87.41/87.66 (step @p50 :rule eq_resolve :premises (@p9 @p49)) % 87.41/87.66 (step @p51 :rule instantiate :premises (@p50) :args ((@list tptp.xl tptp.xn))) % 87.41/87.66 (step @p52 :rule and_elim :premises (@p36) :args (0)) % 87.41/87.66 (step @p53 :rule cnf_or_pos :args (@t78)) % 87.41/87.66 (step @p54 :rule reordering :premises (@p53) :args ((or @t77 @t76 @t75 (not @t78)))) % 87.41/87.66 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p38 @p51) :args (@t75 @t79 (@list @t60 @t63 @t78))) % 87.41/87.66 (step @p56 :rule aci_norm :args ((= (or @t72 @t81) (or @t71 @t70 @t81)))) % 87.41/87.66 (step @p57 :rule refl :args (@t81)) % 87.41/87.66 (step @p58 :rule nary_cong :premises (@p44 @p57) :args ((or @t73 @t81))) % 87.41/87.66 (step @p59 :rule trans :premises (@p58 @p56)) % 87.41/87.66 (step @p60 :rule bool-impl-elim :args (@t7 @t81)) % 87.41/87.66 (step @p61 :rule trans :premises (@p60 @p59)) % 87.41/87.66 (step @p62 :rule cong :premises (@p61) :args ((forall @t8 (=> @t7 @t81)))) % 87.41/87.66 (step @p63 :rule bool-and-de-morgan :args (@t15 @t43 true)) % 87.41/87.66 (step @p64 :rule cong 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@t66))) % 87.41/87.66 (step @p248 :rule cnf_or_pos :args (@t156)) % 87.41/87.66 (step @p249 :rule reordering :premises (@p248) :args ((or @t77 @t76 @t128 @t155 (not @t156)))) % 87.41/87.66 (step @p250 :rule chain_m_resolution :premises (@p249 @p52 @p38 @p189 @p247) :args (@t155 @t130 (@list @t60 @t63 @t125 @t156))) % 87.41/87.66 (step @p251 :rule refl :args (@t157)) % 87.41/87.66 (step @p252 :rule bool-double-not-elim :args (@t133)) % 87.41/87.66 (step @p253 :rule refl :args (@t158)) % 87.41/87.66 (step @p254 :rule refl :args (@t94)) % 87.41/87.66 (step @p255 :rule refl :args (@t159)) % 87.41/87.66 (step @p256 :rule refl :args (@t160)) % 87.41/87.66 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254 @p253 @p252 @p251) :args ((or @t160 @t159 @t94 @t158 (not @t135) @t157))) % 87.41/87.66 (assume-push @p329 @t155) % 87.41/87.66 (assume-push @p330 @t157) % 87.41/87.66 (step @p260 :rule evaluate :args ((= false true))) % 87.41/87.66 (step @p261 :rule true_intro :premises (@p250)) % 87.41/87.66 (step @p262 :rule false_intro :premises (@p330)) % 87.41/87.66 (step @p263 :rule symm :premises (@p262)) % 87.41/87.66 (step @p264 :rule trans :premises (@p263 @p261)) % 87.41/87.66 (step @p265 false :rule eq_resolve :premises (@p264 @p260)) % 87.41/87.66 (step-pop @p331 :rule scope :premises (@p265)) % 87.41/87.66 (step-pop @p332 :rule scope :premises (@p331)) % 87.41/87.66 (step @p266 :rule process_scope :premises (@p332) :args (false)) % 87.41/87.66 (assume-push @p333 @t75) % 87.41/87.66 (assume-push @p334 @t127) % 87.41/87.66 (assume-push @p335 @t93) % 87.41/87.66 (assume-push @p336 @t115) % 87.41/87.66 (assume-push @p337 @t135) % 87.41/87.67 (assume-push @p338 @t155) % 87.41/87.67 (assume-push @p339 @t93) % 87.41/87.67 (assume-push @p340 @t115) % 87.41/87.67 (assume-push @p341 @t135) % 87.41/87.67 (assume-push @p342 @t127) % 87.41/87.67 (assume-push @p343 @t75) % 87.41/87.67 (step @p280 :rule bool-eq-false :args (@t155)) % 87.41/87.67 (step @p281 :rule symm :premises (@p280)) % 87.41/87.67 (step @p282 :rule eq-symm :args (@t153 @t154)) % 87.41/87.67 (step @p283 :rule cong :premises (@p282) :args ((not @t161))) % 87.41/87.67 (step @p284 :rule bool-eq-false :args (@t161)) % 87.41/87.67 (step @p285 :rule trans :premises (@p284 @p283)) % 87.41/87.67 (step @p286 :rule trans :premises (@p285 @p281)) % 87.41/87.67 (step @p287 :rule false_intro :premises (@p337)) % 87.41/87.67 (step @p288 :rule refl :args (@t66)) % 87.41/87.67 (step @p289 :rule symm :premises (@p55)) % 87.41/87.67 (step @p290 :rule cong :premises (@p289 @p288) :args (@t154)) % 87.41/87.67 (step @p291 :rule trans :premises (@p290 @p192)) % 87.41/87.67 (step @p292 :rule symm :premises (@p91)) % 87.41/87.67 (step @p293 :rule refl :args (tptp.xl)) % 87.41/87.67 (step @p294 :rule cong :premises (@p293 @p170) :args (@t152)) % 87.41/87.67 (step @p295 :rule trans :premises (@p294 @p292)) % 87.41/87.67 (step @p296 :rule refl :args (tptp.xn)) % 87.41/87.67 (step @p297 :rule cong :premises (@p296 @p295) :args (@t153)) % 87.41/87.67 (step @p298 :rule cong :premises (@p297 @p291) :args (@t161)) % 87.41/87.67 (step @p299 :rule trans :premises (@p298 @p287)) % 87.41/87.67 (step @p300 :rule eq_resolve :premises (@p299 @p286)) % 87.41/87.67 (step @p301 :rule false_elim :premises (@p300)) % 87.41/87.67 (step-pop @p344 :rule scope :premises (@p301)) % 87.41/87.67 (step-pop @p345 :rule scope :premises (@p344)) % 87.41/87.67 (step-pop @p346 :rule scope :premises (@p345)) % 87.41/87.67 (step-pop @p347 :rule scope :premises (@p346)) % 87.41/87.67 (step-pop @p348 :rule scope :premises (@p347)) % 87.41/87.67 (step @p302 :rule process_scope :premises (@p348) :args (@t157)) % 87.41/87.67 (step @p308 :rule and_intro :premises (@p91 @p170 @p337 @p192 @p55)) % 87.41/87.67 (step @p309 :rule modus_ponens :premises (@p308 @p302)) % 87.41/87.67 (step @p310 :rule and_intro :premises (@p250 @p309)) % 87.41/87.67 (step-pop @p349 :rule scope :premises (@p310)) % 87.41/87.67 (step-pop @p350 :rule scope :premises (@p349)) % 87.41/87.67 (step-pop @p351 :rule scope :premises (@p350)) % 87.41/87.67 (step-pop @p352 :rule scope :premises (@p351)) % 87.41/87.67 (step-pop @p353 :rule scope :premises (@p352)) % 87.41/87.67 (step-pop @p354 :rule scope :premises (@p353)) % 87.41/87.67 (step @p311 :rule process_scope :premises (@p354) :args (@t162)) % 87.41/87.67 (step @p318 :rule implies_elim :premises (@p311)) % 87.41/87.67 (step @p319 :rule resolution :premises (@p318 @p266) :args (true @t162)) % 87.41/87.67 (step @p320 :rule not_and :premises (@p319)) % 87.41/87.67 (step @p321 :rule eq_resolve :premises (@p320 @p257)) % 87.41/87.67 (step @p322 false :rule chain_m_resolution :premises (@p321 @p250 @p246 @p192 @p170 @p91 @p55) :args (false (@list false true false false false false) (@list @t155 @t133 @t127 @t115 @t93 @t75))) % 87.41/87.67 ) % 87.41/87.67 % SZS output end Proof % 87.41/87.67 % cvc5 exiting %------------------------------------------------------------------------------