%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM479+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 : n028.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 233.99s 234.21s % Output : Proof 233.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM479+1 : TPTP v9.2.1. Released v4.0.0. % 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 : n028.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 11:23:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 233.99/234.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 233.99/234.21 --- Run --no-e-matching --full-saturate-quant at 6... % 233.99/234.21 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 233.99/234.21 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 233.99/234.21 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 233.99/234.21 --- Run --trigger-sel=max --full-saturate-quant at 15... % 233.99/234.21 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 233.99/234.21 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 233.99/234.21 --- Run --prenex-quant=none --full-saturate-quant at 30... % 233.99/234.21 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 233.99/234.21 --- Run --relevant-triggers --full-saturate-quant at 30... % 233.99/234.21 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 233.99/234.21 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 233.99/234.21 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 233.99/234.21 % SZS status Theorem % 233.99/234.21 % SZS output start Proof % 233.99/234.21 ( % 233.99/234.21 (declare-sort $$unsorted 0) % 233.99/234.21 (declare-const tptp.xn $$unsorted) % 233.99/234.21 (declare-const tptp.xl $$unsorted) % 233.99/234.21 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 233.99/234.21 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 233.99/234.21 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 233.99/234.21 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 233.99/234.21 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 233.99/234.21 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 233.99/234.21 (declare-const tptp.sz10 $$unsorted) % 233.99/234.21 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 233.99/234.21 (declare-const tptp.sz00 $$unsorted) % 233.99/234.21 (declare-const tptp.xm $$unsorted) % 233.99/234.21 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 233.99/234.21 (define @t1 () (@var "W0" $$unsorted)) % 233.99/234.21 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 233.99/234.21 (define @t3 () (@list @t1)) % 233.99/234.21 (define @t4 () (@var "W1" $$unsorted)) % 233.99/234.21 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 233.99/234.21 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 233.99/234.21 (define @t7 () (and @t2 @t6)) % 233.99/234.21 (define @t8 () (@list @t1 @t4)) % 233.99/234.21 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 233.99/234.21 (define @t10 () (tptp.aNaturalNumber0 @t9)) % 233.99/234.21 (define @t11 () (forall @t8 (=> @t7 @t10))) % 233.99/234.21 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 233.99/234.21 (define @t13 () (@var "W2" $$unsorted)) % 233.99/234.21 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 233.99/234.21 (define @t15 () (tptp.aNaturalNumber0 @t13)) % 233.99/234.21 (define @t16 () (and @t2 @t6 @t15)) % 233.99/234.21 (define @t17 () (@list @t1 @t4 @t13)) % 233.99/234.21 (define @t18 () (tptp.sdtasdt0 @t4 @t1)) % 233.99/234.21 (define @t19 () (= @t9 @t18)) % 233.99/234.21 (define @t20 () (forall @t8 (=> @t7 @t19))) % 233.99/234.21 (define @t21 () (= (tptp.sdtasdt0 @t9 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))) % 233.99/234.21 (define @t22 () (forall @t17 (=> @t16 @t21))) % 233.99/234.21 (define @t23 () (tptp.sdtasdt0 @t13 @t1)) % 233.99/234.21 (define @t24 () (tptp.sdtasdt0 @t1 @t13)) % 233.99/234.21 (define @t25 () (= @t4 @t13)) % 233.99/234.21 (define @t26 () (tptp.sdtpldt0 @t13 @t1)) % 233.99/234.21 (define @t27 () (tptp.sdtpldt0 @t1 @t13)) % 233.99/234.21 (define @t28 () (= @t18 @t23)) % 233.99/234.21 (define @t29 () (= @t9 @t24)) % 233.99/234.21 (define @t30 () (and @t6 @t15)) % 233.99/234.21 (define @t31 () (= @t1 tptp.sz00)) % 233.99/234.21 (define @t32 () (not @t31)) % 233.99/234.21 (define @t33 () (= @t4 tptp.sz00)) % 233.99/234.21 (define @t34 () (and @t15 (= @t27 @t4))) % 233.99/234.21 (define @t35 () (@list @t13)) % 233.99/234.21 (define @t36 () (tptp.sdtlseqdt0 @t1 @t4)) % 233.99/234.21 (define @t37 () (= @t1 @t4)) % 233.99/234.21 (define @t38 () (tptp.sdtlseqdt0 @t4 @t1)) % 233.99/234.21 (define @t39 () (tptp.sdtlseqdt0 @t4 @t13)) % 233.99/234.21 (define @t40 () (tptp.sdtpldt0 @t13 @t4)) % 233.99/234.21 (define @t41 () (and (not @t37) @t36)) % 233.99/234.21 (define @t42 () (tptp.iLess0 @t1 @t4)) % 233.99/234.21 (define @t43 () (= @t4 @t24)) % 233.99/234.21 (define @t44 () (and @t15 @t43)) % 233.99/234.21 (define @t45 () (exists @t35 @t44)) % 233.99/234.21 (define @t46 () (tptp.doDivides0 @t1 @t4)) % 233.99/234.21 (define @t47 () (= @t46 @t45)) % 233.99/234.21 (define @t48 () (=> @t7 @t47)) % 233.99/234.21 (define @t49 () (forall @t8 @t48)) % 233.99/234.21 (define @t50 () (tptp.sdtsldt0 @t4 @t1)) % 233.99/234.21 (define @t51 () (= @t13 @t50)) % 233.99/234.21 (define @t52 () (forall @t35 (= @t51 @t44))) % 233.99/234.21 (define @t53 () (and @t32 @t46)) % 233.99/234.21 (define @t54 () (=> @t53 @t52)) % 233.99/234.21 (define @t55 () (=> @t7 @t54)) % 233.99/234.21 (define @t56 () (forall @t8 @t55)) % 233.99/234.21 (define @t57 () (tptp.doDivides0 @t1 @t13)) % 233.99/234.21 (define @t58 () (tptp.doDivides0 @t1 @t14)) % 233.99/234.21 (define @t59 () (tptp.aNaturalNumber0 tptp.xm)) % 233.99/234.21 (define @t60 () (tptp.aNaturalNumber0 tptp.xl)) % 233.99/234.21 (define @t61 () (tptp.doDivides0 tptp.xl tptp.xm)) % 233.99/234.21 (define @t62 () (= tptp.xl tptp.sz00)) % 233.99/234.21 (define @t63 () (tptp.aNaturalNumber0 tptp.xn)) % 233.99/234.21 (define @t64 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 233.99/234.21 (define @t65 () (tptp.sdtsldt0 @t64 tptp.xl)) % 233.99/234.21 (define @t66 () (tptp.sdtasdt0 tptp.xl @t65)) % 233.99/234.21 (define @t67 () (tptp.sdtsldt0 tptp.xm tptp.xl)) % 233.99/234.21 (define @t68 () (tptp.sdtasdt0 tptp.xl tptp.xn)) % 233.99/234.21 (define @t69 () (tptp.sdtasdt0 @t68 @t67)) % 233.99/234.21 (define @t70 () (@var "BOUND_VARIABLE_7942" $$unsorted)) % 233.99/234.21 (define @t71 () (and (tptp.aNaturalNumber0 @t70) (= @t4 (tptp.sdtasdt0 @t1 @t70)))) % 233.99/234.21 (define @t72 () (= @t71 (= @t70 @t50))) % 233.99/234.21 (define @t73 () (not @t46)) % 233.99/234.21 (define @t74 () (not @t6)) % 233.99/234.21 (define @t75 () (not @t2)) % 233.99/234.21 (define @t76 () (or @t75 @t74 @t31 @t73 @t72)) % 233.99/234.21 (define @t77 () (@list @t1 @t4 @t70)) % 233.99/234.21 (define @t78 () (forall @t77 @t76)) % 233.99/234.21 (define @t79 () (@list @t70)) % 233.99/234.21 (define @t80 () (forall @t79 @t76)) % 233.99/234.21 (define @t81 () (forall @t79 @t72)) % 233.99/234.21 (define @t82 () (or @t75 @t74 @t31 @t73 @t81)) % 233.99/234.21 (define @t83 () (forall @t35 (= @t44 @t51))) % 233.99/234.21 (define @t84 () (or @t75 @t74 @t31 @t73 @t83)) % 233.99/234.21 (define @t85 () (or @t31 @t73 @t83)) % 233.99/234.21 (define @t86 () (or @t75 @t74)) % 233.99/234.21 (define @t87 () (=> @t53 @t83)) % 233.99/234.21 (define @t88 () (not @t7)) % 233.99/234.21 (define @t89 () (tptp.sdtasdt0 tptp.xl @t67)) % 233.99/234.21 (define @t90 () (= tptp.xm @t89)) % 233.99/234.21 (define @t91 () (tptp.aNaturalNumber0 @t67)) % 233.99/234.21 (define @t92 () (and @t91 @t90)) % 233.99/234.21 (define @t93 () (= @t92 (= @t67 @t67))) % 233.99/234.21 (define @t94 () (not @t61)) % 233.99/234.21 (define @t95 () (not @t59)) % 233.99/234.21 (define @t96 () (not @t60)) % 233.99/234.21 (define @t97 () (or @t96 @t95 @t62 @t94 @t93)) % 233.99/234.21 (define @t98 () (forall @t77 (or @t75 @t74 @t31 @t73 (= @t71 (= @t50 @t70))))) % 233.99/234.21 (define @t99 () (= tptp.sz00 tptp.xl)) % 233.99/234.21 (define @t100 () (or @t96 @t95 @t99 @t94 @t92)) % 233.99/234.21 (define @t101 () (@list false)) % 233.99/234.21 (define @t102 () (@list @t98)) % 233.99/234.21 (define @t103 () (not @t92)) % 233.99/234.21 (define @t104 () (@list @t92)) % 233.99/234.21 (define @t105 () (not @t15)) % 233.99/234.21 (define @t106 () (= @t46 (not (forall @t35 (or @t105 (not @t43)))))) % 233.99/234.21 (define @t107 () (forall @t35 (not @t44))) % 233.99/234.21 (define @t108 () (not @t107)) % 233.99/234.21 (define @t109 () (tptp.sdtasdt0 tptp.xn @t67)) % 233.99/234.21 (define @t110 () (tptp.sdtasdt0 tptp.xl @t109)) % 233.99/234.21 (define @t111 () (@list tptp.xl tptp.xn)) % 233.99/234.21 (define @t112 () (tptp.aNaturalNumber0 @t68)) % 233.99/234.21 (define @t113 () (not @t63)) % 233.99/234.21 (define @t114 () (or @t96 @t113 @t112)) % 233.99/234.21 (define @t115 () (@list false false false)) % 233.99/234.21 (define @t116 () (tptp.aNaturalNumber0 @t69)) % 233.99/234.21 (define @t117 () (not @t91)) % 233.99/234.21 (define @t118 () (not @t112)) % 233.99/234.21 (define @t119 () (or @t118 @t117 @t116)) % 233.99/234.21 (define @t120 () (or @t75 @t74 @t105)) % 233.99/234.21 (define @t121 () (= @t69 @t110)) % 233.99/234.21 (define @t122 () (or @t96 @t113 @t117 @t121)) % 233.99/234.21 (define @t123 () (@list false false false false)) % 233.99/234.21 (define @t124 () (tptp.aNaturalNumber0 @t110)) % 233.99/234.21 (define @t125 () (forall @t35 (or @t105 (not (= @t110 (tptp.sdtasdt0 tptp.xl @t13)))))) % 233.99/234.21 (define @t126 () (not @t125)) % 233.99/234.21 (define @t127 () (tptp.doDivides0 tptp.xl @t110)) % 233.99/234.21 (define @t128 () (= @t127 @t126)) % 233.99/234.21 (define @t129 () (not @t124)) % 233.99/234.21 (define @t130 () (or @t96 @t129 @t128)) % 233.99/234.21 (define @t131 () (= @t64 @t66)) % 233.99/234.21 (define @t132 () (and (tptp.aNaturalNumber0 @t65) @t131)) % 233.99/234.21 (define @t133 () (= @t132 (= @t65 @t65))) % 233.99/234.21 (define @t134 () (not (tptp.doDivides0 tptp.xl @t64))) % 233.99/234.21 (define @t135 () (tptp.aNaturalNumber0 @t64)) % 233.99/234.21 (define @t136 () (not @t135)) % 233.99/234.21 (define @t137 () (or @t96 @t136 @t62 @t134 @t133)) % 233.99/234.21 (define @t138 () (or @t96 @t136 @t99 @t134 @t132)) % 233.99/234.21 (define @t139 () (tptp.sdtasdt0 tptp.xn tptp.xl)) % 233.99/234.21 (define @t140 () (= @t68 @t139)) % 233.99/234.21 (define @t141 () (or @t96 @t113 @t140)) % 233.99/234.21 (define @t142 () (tptp.sdtasdt0 @t139 @t67)) % 233.99/234.21 (define @t143 () (tptp.sdtasdt0 tptp.xn @t89)) % 233.99/234.21 (define @t144 () (= @t142 @t143)) % 233.99/234.21 (define @t145 () (or @t113 @t96 @t117 @t144)) % 233.99/234.21 (define @t146 () (not @t132)) % 233.99/234.21 (define @t147 () (or @t113 @t95 @t135)) % 233.99/234.21 (define @t148 () (not @t128)) % 233.99/234.21 (define @t149 () (tptp.aNaturalNumber0 @t109)) % 233.99/234.21 (define @t150 () (not @t149)) % 233.99/234.21 (define @t151 () (not (= @t110 @t110))) % 233.99/234.21 (define @t152 () (or @t150 @t151)) % 233.99/234.21 (define @t153 () (or @t113 @t117 @t149)) % 233.99/234.21 (assume @p1 (forall @t3 (=> @t2 true))) % 233.99/234.21 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 233.99/234.21 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 233.99/234.21 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 233.99/234.21 (assume @p5 @t11) % 233.99/234.21 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t12)))) % 233.99/234.21 (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t5 @t13) (tptp.sdtpldt0 @t1 @t14))))) % 233.99/234.21 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 233.99/234.21 (assume @p9 @t20) % 233.99/234.21 (assume @p10 @t22) % 233.99/234.21 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 233.99/234.21 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 233.99/234.21 (assume @p13 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t9 @t24)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t18 @t23)))))) % 233.99/234.21 (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t5 @t27) (= @t12 @t26)) @t25)))) % 233.99/234.21 (assume @p15 (forall @t3 (=> @t2 (=> @t32 (forall (@list @t4 @t13) (=> @t30 (=> (or @t29 @t28) @t25))))))) % 233.99/234.21 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t31 @t33))))) % 233.99/234.21 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t31 @t33))))) % 233.99/234.21 (assume @p18 (forall @t8 (=> @t7 (= @t36 (exists @t35 @t34))))) % 233.99/234.21 (assume @p19 (forall @t8 (=> @t7 (=> @t36 (forall @t35 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t34)))))) % 233.99/234.21 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 233.99/234.21 (assume @p21 (forall @t8 (=> @t7 (=> (and @t36 @t38) @t37)))) % 233.99/234.21 (assume @p22 (forall @t17 (=> @t16 (=> (and @t36 @t39) (tptp.sdtlseqdt0 @t1 @t13))))) % 233.99/234.21 (assume @p23 (forall @t8 (=> @t7 (or @t36 (and (not (= @t4 @t1)) @t38))))) % 233.99/234.21 (assume @p24 (forall @t8 (=> @t7 (=> @t41 (forall @t35 (=> @t15 (and (not (= @t26 @t40)) (tptp.sdtlseqdt0 @t26 @t40) (not (= @t27 @t14)) (tptp.sdtlseqdt0 @t27 @t14)))))))) % 233.99/234.21 (assume @p25 (forall @t17 (=> @t16 (=> (and @t32 (not @t25) @t39) (and (not @t29) (tptp.sdtlseqdt0 @t9 @t24) (not @t28) (tptp.sdtlseqdt0 @t18 @t23)))))) % 233.99/234.21 (assume @p26 (forall @t3 (=> @t2 (or @t31 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 233.99/234.21 (assume @p27 (forall @t8 (=> @t7 (=> @t32 (tptp.sdtlseqdt0 @t4 @t18))))) % 233.99/234.21 (assume @p28 (forall @t8 (=> @t7 (=> @t42 true)))) % 233.99/234.21 (assume @p29 (forall @t8 (=> @t7 (=> @t41 @t42)))) % 233.99/234.21 (assume @p30 @t49) % 233.99/234.21 (assume @p31 @t56) % 233.99/234.21 (assume @p32 (forall @t17 (=> @t16 (=> (and @t46 (tptp.doDivides0 @t4 @t13)) @t57)))) % 233.99/234.21 (assume @p33 (forall @t17 (=> @t16 (=> (and @t46 @t57) @t58)))) % 233.99/234.21 (assume @p34 (forall @t17 (=> @t16 (=> (and @t46 @t58) @t57)))) % 233.99/234.21 (assume @p35 (forall @t8 (=> @t7 (=> (and @t46 (not @t33)) @t36)))) % 233.99/234.21 (assume @p36 (and @t60 @t59)) % 233.99/234.21 (assume @p37 (and (not @t62) @t61)) % 233.99/234.21 (assume @p38 @t63) % 233.99/234.21 (assume @p39 (not (= @t69 @t66))) % 233.99/234.21 (assume @p40 true) % 233.99/234.21 (step @p41 :rule eq-symm :args (@t70 @t50)) % 233.99/234.21 (step @p42 :rule refl :args (@t71)) % 233.99/234.21 (step @p43 :rule cong :premises (@p42 @p41) :args (@t72)) % 233.99/234.21 (step @p44 :rule refl :args (@t73)) % 233.99/234.21 (step @p45 :rule refl :args (@t31)) % 233.99/234.21 (step @p46 :rule refl :args (@t74)) % 233.99/234.21 (step @p47 :rule refl :args (@t75)) % 233.99/234.21 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45 @p44 @p43) :args (@t76)) % 233.99/234.21 (step @p49 :rule cong :premises (@p48) :args (@t78)) % 233.99/234.21 (step @p50 :rule quant-merge-prenex :args ((= (forall @t8 @t80) @t78))) % 233.99/234.21 (step @p51 :rule alpha_equiv :args (@t81 (@list @t70) (@list @t13))) % 233.99/234.21 (step @p52 :rule refl :args (@t73)) % 233.99/234.21 (step @p53 :rule refl :args (@t31)) % 233.99/234.21 (step @p54 :rule refl :args (@t74)) % 233.99/234.21 (step @p55 :rule refl :args (@t75)) % 233.99/234.21 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53 @p52 @p51) :args (@t82)) % 233.99/234.21 (step @p57 :rule quant-miniscope-or :args ((= @t80 @t82))) % 233.99/234.21 (step @p58 :rule trans :premises (@p57 @p56)) % 233.99/234.21 (step @p59 :rule symm :premises (@p58)) % 233.99/234.21 (step @p60 :rule cong :premises (@p59) :args ((forall @t8 @t84))) % 233.99/234.21 (step @p61 :rule trans :premises (@p60 @p50)) % 233.99/234.21 (step @p62 :rule trans :premises (@p61 @p49)) % 233.99/234.21 (step @p63 :rule aci_norm :args ((= (or @t86 @t85) @t84))) % 233.99/234.21 (step @p64 :rule aci_norm :args ((= (or (or @t31 @t73) @t83) @t85))) % 233.99/234.21 (step @p65 :rule refl :args (@t83)) % 233.99/234.21 (step @p66 :rule bool-double-not-elim :args (@t31)) % 233.99/234.21 (step @p67 :rule nary_cong :premises (@p66 @p52) :args ((or (not @t32) @t73))) % 233.99/234.21 (step @p68 :rule bool-and-de-morgan :args (@t32 @t46 true)) % 233.99/234.21 (step @p69 :rule trans :premises (@p68 @p67)) % 233.99/234.21 (step @p70 :rule nary_cong :premises (@p69 @p65) :args ((or (not @t53) @t83))) % 233.99/234.21 (step @p71 :rule trans :premises (@p70 @p64)) % 233.99/234.21 (step @p72 :rule bool-impl-elim :args (@t53 @t83)) % 233.99/234.21 (step @p73 :rule trans :premises (@p72 @p71)) % 233.99/234.21 (step @p74 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 233.99/234.21 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t88 @t87))) % 233.99/234.21 (step @p76 :rule trans :premises (@p75 @p63)) % 233.99/234.21 (step @p77 :rule bool-impl-elim :args (@t7 @t87)) % 233.99/234.21 (step @p78 :rule trans :premises (@p77 @p76)) % 233.99/234.21 (step @p79 :rule cong :premises (@p78) :args ((forall @t8 (=> @t7 @t87)))) % 233.99/234.21 (step @p80 :rule trans :premises (@p79 @p62)) % 233.99/234.21 (step @p81 :rule eq-symm :args (@t51 @t44)) % 233.99/234.21 (step @p82 :rule cong :premises (@p81) :args (@t52)) % 233.99/234.21 (step @p83 :rule refl :args (@t53)) % 233.99/234.21 (step @p84 :rule cong :premises (@p83 @p82) :args (@t54)) % 233.99/234.21 (step @p85 :rule refl :args (@t7)) % 233.99/234.21 (step @p86 :rule cong :premises (@p85 @p84) :args (@t55)) % 233.99/234.21 (step @p87 :rule cong :premises (@p86) :args (@t56)) % 233.99/234.21 (step @p88 :rule trans :premises (@p87 @p80)) % 233.99/234.21 (step @p89 :rule eq_resolve :premises (@p31 @p88)) % 233.99/234.21 (step @p90 :rule bool-eq-true :args (@t92)) % 233.99/234.21 (step @p91 :rule eq-refl :args (@t67)) % 233.99/234.21 (step @p92 :rule refl :args (@t92)) % 233.99/234.21 (step @p93 :rule cong :premises (@p92 @p91) :args (@t93)) % 233.99/234.21 (step @p94 :rule trans :premises (@p93 @p90)) % 233.99/234.21 (step @p95 :rule refl :args (@t94)) % 233.99/234.21 (step @p96 :rule eq-symm :args (tptp.xl tptp.sz00)) % 233.99/234.21 (step @p97 :rule refl :args (@t95)) % 233.99/234.21 (step @p98 :rule refl :args (@t96)) % 233.99/234.21 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95 @p94) :args (@t97)) % 233.99/234.21 (step @p100 :rule refl :args (@t98)) % 233.99/234.21 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t98 @t97))) % 233.99/234.21 (assume-push @p276 @t98) % 233.99/234.21 (step @p103 :rule instantiate :premises (@p89) :args ((@list tptp.xl tptp.xm @t67))) % 233.99/234.21 (step-pop @p277 :rule scope :premises (@p103)) % 233.99/234.21 (step @p104 :rule process_scope :premises (@p277) :args (@t97)) % 233.99/234.21 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 233.99/234.21 (step @p107 :rule implies_elim :premises (@p106)) % 233.99/234.21 (step @p108 :rule chain_m_resolution :premises (@p107 @p89) :args (@t100 @t101 @t102)) % 233.99/234.21 (step @p109 :rule and_elim :premises (@p37) :args (1)) % 233.99/234.21 (step @p110 :rule and_elim :premises (@p36) :args (1)) % 233.99/234.21 (step @p111 :rule and_elim :premises (@p36) :args (0)) % 233.99/234.21 (step @p112 :rule and_elim :premises (@p37) :args (0)) % 233.99/234.21 (step @p113 :rule symm :premises (@p112)) % 233.99/234.21 (step @p114 :rule cnf_or_pos :args (@t100)) % 233.99/234.21 (step @p115 :rule reordering :premises (@p114) :args ((or @t99 @t96 @t95 @t94 @t92 (not @t100)))) % 233.99/234.21 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p111 @p110 @p109 @p108) :args (@t92 (@list true false false false false) (@list @t99 @t60 @t59 @t61 @t100))) % 233.99/234.21 (step @p117 :rule cnf_and_pos :args (@t92 0)) % 233.99/234.21 (step @p118 :rule reordering :premises (@p117) :args ((or @t91 @t103))) % 233.99/234.21 (step @p119 :rule chain_m_resolution :premises (@p118 @p116) :args (@t91 @t101 @t104)) % 233.99/234.21 (step @p120 :rule aci_norm :args ((= (or @t86 @t106) (or @t75 @t74 @t106)))) % 233.99/234.21 (step @p121 :rule refl :args (@t106)) % 233.99/234.21 (step @p122 :rule nary_cong :premises (@p74 @p121) :args ((or @t88 @t106))) % 233.99/234.21 (step @p123 :rule trans :premises (@p122 @p120)) % 233.99/234.21 (step @p124 :rule bool-impl-elim :args (@t7 @t106)) % 233.99/234.21 (step @p125 :rule trans :premises (@p124 @p123)) % 233.99/234.21 (step @p126 :rule cong :premises (@p125) :args ((forall @t8 (=> @t7 @t106)))) % 233.99/234.21 (step @p127 :rule bool-and-de-morgan :args (@t15 @t43 true)) % 233.99/234.21 (step @p128 :rule cong :premises (@p127) :args (@t107)) % 233.99/234.21 (step @p129 :rule cong :premises (@p128) :args (@t108)) % 233.99/234.21 (step @p130 :rule exists-elim :args ((= @t45 @t108))) % 233.99/234.21 (step @p131 :rule trans :premises (@p130 @p129)) % 233.99/234.21 (step @p132 :rule refl :args (@t46)) % 233.99/234.21 (step @p133 :rule cong :premises (@p132 @p131) :args (@t47)) % 233.99/234.21 (step @p134 :rule cong :premises (@p85 @p133) :args (@t48)) % 233.99/234.21 (step @p135 :rule cong :premises (@p134) :args (@t49)) % 233.99/234.21 (step @p136 :rule trans :premises (@p135 @p126)) % 233.99/234.21 (step @p137 :rule eq_resolve :premises (@p30 @p136)) % 233.99/234.21 (step @p138 :rule instantiate :premises (@p137) :args ((@list tptp.xl @t110))) % 233.99/234.21 (step @p139 :rule aci_norm :args ((= (or @t86 @t10) (or @t75 @t74 @t10)))) % 233.99/234.21 (step @p140 :rule refl :args (@t10)) % 233.99/234.21 (step @p141 :rule nary_cong :premises (@p74 @p140) :args ((or @t88 @t10))) % 233.99/234.21 (step @p142 :rule trans :premises (@p141 @p139)) % 233.99/234.21 (step @p143 :rule bool-impl-elim :args (@t7 @t10)) % 233.99/234.21 (step @p144 :rule trans :premises (@p143 @p142)) % 233.99/234.21 (step @p145 :rule cong :premises (@p144) :args (@t11)) % 233.99/234.21 (step @p146 :rule eq_resolve :premises (@p5 @p145)) % 233.99/234.21 (step @p147 :rule instantiate :premises (@p146) :args ((@list @t68 @t67))) % 233.99/234.21 (step @p148 :rule instantiate :premises (@p146) :args (@t111)) % 233.99/234.21 (step @p149 :rule cnf_or_pos :args (@t114)) % 233.99/234.21 (step @p150 :rule reordering :premises (@p149) :args ((or @t96 @t113 @t112 (not @t114)))) % 233.99/234.21 (step @p151 :rule chain_m_resolution :premises (@p150 @p111 @p38 @p148) :args (@t112 @t115 (@list @t60 @t63 @t114))) % 233.99/234.21 (step @p152 :rule cnf_or_pos :args (@t119)) % 233.99/234.21 (step @p153 :rule reordering :premises (@p152) :args ((or @t118 @t117 @t116 (not @t119)))) % 233.99/234.21 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p119 @p147) :args (@t116 @t115 (@list @t112 @t91 @t119))) % 233.99/234.21 (step @p155 :rule true_intro :premises (@p154)) % 233.99/234.21 (step @p156 :rule aci_norm :args ((= (or @t120 @t21) (or @t75 @t74 @t105 @t21)))) % 233.99/234.21 (step @p157 :rule refl :args (@t21)) % 233.99/234.21 (step @p158 :rule aci_norm :args ((= (or @t75 (or @t74 @t105)) @t120))) % 233.99/234.21 (step @p159 :rule bool-and-de-morgan :args (@t6 @t15 true)) % 233.99/234.21 (step @p160 :rule nary_cong :premises (@p55 @p159) :args ((or @t75 (not @t30)))) % 233.99/234.21 (step @p161 :rule bool-and-de-morgan :args (@t2 @t6 (and @t15))) % 233.99/234.21 (step @p162 :rule trans :premises (@p161 @p160)) % 233.99/234.21 (step @p163 :rule trans :premises (@p162 @p158)) % 233.99/234.21 (step @p164 :rule nary_cong :premises (@p163 @p157) :args ((or (not @t16) @t21))) % 233.99/234.21 (step @p165 :rule trans :premises (@p164 @p156)) % 233.99/234.21 (step @p166 :rule bool-impl-elim :args (@t16 @t21)) % 233.99/234.21 (step @p167 :rule trans :premises (@p166 @p165)) % 233.99/234.21 (step @p168 :rule cong :premises (@p167) :args (@t22)) % 233.99/234.21 (step @p169 :rule eq_resolve :premises (@p10 @p168)) % 233.99/234.21 (step @p170 :rule instantiate :premises (@p169) :args ((@list tptp.xl tptp.xn @t67))) % 233.99/234.21 (step @p171 :rule cnf_or_pos :args (@t122)) % 233.99/234.21 (step @p172 :rule reordering :premises (@p171) :args ((or @t96 @t113 @t117 @t121 (not @t122)))) % 233.99/234.21 (step @p173 :rule chain_m_resolution :premises (@p172 @p111 @p38 @p119 @p170) :args (@t121 @t123 (@list @t60 @t63 @t91 @t122))) % 233.99/234.21 (step @p174 :rule symm :premises (@p173)) % 233.99/234.21 (step @p175 :rule cong :premises (@p174) :args (@t124)) % 233.99/234.21 (step @p176 :rule trans :premises (@p175 @p155)) % 233.99/234.21 (step @p177 :rule true_elim :premises (@p176)) % 233.99/234.21 (step @p178 :rule cnf_or_pos :args (@t130)) % 233.99/234.21 (step @p179 :rule reordering :premises (@p178) :args ((or @t96 @t129 @t128 (not @t130)))) % 233.99/234.21 (step @p180 :rule chain_m_resolution :premises (@p179 @p111 @p177 @p138) :args (@t128 @t115 (@list @t60 @t124 @t130))) % 233.99/234.21 (step @p181 :rule bool-eq-true :args (@t132)) % 233.99/234.21 (step @p182 :rule eq-refl :args (@t65)) % 233.99/234.21 (step @p183 :rule refl :args (@t132)) % 233.99/234.21 (step @p184 :rule cong :premises (@p183 @p182) :args (@t133)) % 233.99/234.21 (step @p185 :rule trans :premises (@p184 @p181)) % 233.99/234.21 (step @p186 :rule refl :args (@t134)) % 233.99/234.21 (step @p187 :rule refl :args (@t136)) % 233.99/234.21 (step @p188 :rule nary_cong :premises (@p98 @p187 @p96 @p186 @p185) :args (@t137)) % 233.99/234.21 (step @p189 :rule cong :premises (@p100 @p188) :args ((=> @t98 @t137))) % 233.99/234.21 (assume-push @p278 @t98) % 233.99/234.21 (step @p191 :rule instantiate :premises (@p89) :args ((@list tptp.xl @t64 @t65))) % 233.99/234.21 (step-pop @p279 :rule scope :premises (@p191)) % 233.99/234.21 (step @p192 :rule process_scope :premises (@p279) :args (@t137)) % 233.99/234.21 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 233.99/234.21 (step @p195 :rule implies_elim :premises (@p194)) % 233.99/234.21 (step @p196 :rule chain_m_resolution :premises (@p195 @p89) :args (@t138 @t101 @t102)) % 233.99/234.21 (step @p197 :rule false_intro :premises (@p39)) % 233.99/234.21 (step @p198 :rule refl :args (@t66)) % 233.99/234.21 (step @p199 :rule refl :args (@t67)) % 233.99/234.21 (step @p200 :rule aci_norm :args ((= (or @t86 @t19) (or @t75 @t74 @t19)))) % 233.99/234.21 (step @p201 :rule refl :args (@t19)) % 233.99/234.21 (step @p202 :rule nary_cong :premises (@p74 @p201) :args ((or @t88 @t19))) % 233.99/234.21 (step @p203 :rule trans :premises (@p202 @p200)) % 233.99/234.21 (step @p204 :rule bool-impl-elim :args (@t7 @t19)) % 233.99/234.21 (step @p205 :rule trans :premises (@p204 @p203)) % 233.99/234.21 (step @p206 :rule cong :premises (@p205) :args (@t20)) % 233.99/234.21 (step @p207 :rule eq_resolve :premises (@p9 @p206)) % 233.99/234.21 (step @p208 :rule instantiate :premises (@p207) :args (@t111)) % 233.99/234.21 (step @p209 :rule cnf_or_pos :args (@t141)) % 233.99/234.21 (step @p210 :rule reordering :premises (@p209) :args ((or @t96 @t113 @t140 (not @t141)))) % 233.99/234.21 (step @p211 :rule chain_m_resolution :premises (@p210 @p111 @p38 @p208) :args (@t140 @t115 (@list @t60 @t63 @t141))) % 233.99/234.21 (step @p212 :rule symm :premises (@p211)) % 233.99/234.21 (step @p213 :rule cong :premises (@p212 @p199) :args (@t142)) % 233.99/234.21 (step @p214 :rule instantiate :premises (@p169) :args ((@list tptp.xn tptp.xl @t67))) % 233.99/234.21 (step @p215 :rule cnf_or_pos :args (@t145)) % 233.99/234.21 (step @p216 :rule reordering :premises (@p215) :args ((or @t96 @t113 @t117 @t144 (not @t145)))) % 233.99/234.21 (step @p217 :rule chain_m_resolution :premises (@p216 @p111 @p38 @p119 @p214) :args (@t144 @t123 (@list @t60 @t63 @t91 @t145))) % 233.99/234.21 (step @p218 :rule symm :premises (@p217)) % 233.99/234.21 (step @p219 :rule cnf_and_pos :args (@t92 1)) % 233.99/234.21 (step @p220 :rule reordering :premises (@p219) :args ((or @t90 @t103))) % 233.99/234.21 (step @p221 :rule chain_m_resolution :premises (@p220 @p116) :args (@t90 @t101 @t104)) % 233.99/234.21 (step @p222 :rule refl :args (tptp.xn)) % 233.99/234.21 (step @p223 :rule cong :premises (@p222 @p221) :args (@t64)) % 233.99/234.21 (step @p224 :rule trans :premises (@p223 @p218 @p213)) % 233.99/234.21 (step @p225 :rule cong :premises (@p224 @p198) :args (@t131)) % 233.99/234.21 (step @p226 :rule trans :premises (@p225 @p197)) % 233.99/234.21 (step @p227 :rule false_elim :premises (@p226)) % 233.99/234.21 (step @p228 :rule cnf_and_pos :args (@t132 1)) % 233.99/234.21 (step @p229 :rule reordering :premises (@p228) :args ((or @t131 @t146))) % 233.99/234.21 (step @p230 :rule chain_m_resolution :premises (@p229 @p227) :args (@t146 (@list true) (@list @t131))) % 233.99/234.21 (step @p231 :rule instantiate :premises (@p146) :args ((@list tptp.xn tptp.xm))) % 233.99/234.21 (step @p232 :rule cnf_or_pos :args (@t147)) % 233.99/234.21 (step @p233 :rule reordering :premises (@p232) :args ((or @t95 @t113 @t135 (not @t147)))) % 233.99/234.21 (step @p234 :rule chain_m_resolution :premises (@p233 @p110 @p38 @p231) :args (@t135 @t115 (@list @t59 @t63 @t147))) % 233.99/234.21 (step @p235 :rule cnf_or_pos :args (@t138)) % 233.99/234.21 (step @p236 :rule reordering :premises (@p235) :args ((or @t99 @t96 @t136 @t134 @t132 (not @t138)))) % 233.99/234.21 (step @p237 :rule chain_m_resolution :premises (@p236 @p113 @p111 @p234 @p230 @p196) :args (@t134 (@list true false false true false) (@list @t99 @t60 @t135 @t132 @t138))) % 233.99/234.21 (step @p238 :rule false_intro :premises (@p237)) % 233.99/234.21 (step @p239 :rule symm :premises (@p221)) % 233.99/234.21 (step @p240 :rule cong :premises (@p222 @p239) :args (@t143)) % 233.99/234.21 (step @p241 :rule cong :premises (@p211 @p199) :args (@t69)) % 233.99/234.21 (step @p242 :rule trans :premises (@p174 @p241 @p217 @p240)) % 233.99/234.21 (step @p243 :rule refl :args (tptp.xl)) % 233.99/234.21 (step @p244 :rule cong :premises (@p243 @p242) :args (@t127)) % 233.99/234.21 (step @p245 :rule trans :premises (@p244 @p238)) % 233.99/234.21 (step @p246 :rule false_elim :premises (@p245)) % 233.99/234.21 (step @p247 :rule bool-double-not-elim :args (@t125)) % 233.99/234.21 (step @p248 :rule refl :args (@t127)) % 233.99/234.21 (step @p249 :rule refl :args (@t148)) % 233.99/234.21 (step @p250 :rule nary_cong :premises (@p249 @p248 @p247) :args ((or @t148 @t127 (not @t126)))) % 233.99/234.21 (step @p251 :rule cnf_equiv_pos2 :args (@t128)) % 233.99/234.21 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 233.99/234.21 (step @p253 :rule reordering :premises (@p252) :args ((or @t127 @t125 @t148))) % 233.99/234.21 (step @p254 :rule chain_m_resolution :premises (@p253 @p246 @p180) :args (@t125 (@list true false) (@list @t127 @t128))) % 233.99/234.21 (step @p255 :rule aci_norm :args ((= (or @t150 false) @t150))) % 233.99/234.21 (step @p256 :rule evaluate :args ((not true))) % 233.99/234.21 (step @p257 :rule eq-refl :args (@t110)) % 233.99/234.21 (step @p258 :rule cong :premises (@p257) :args (@t151)) % 233.99/234.21 (step @p259 :rule trans :premises (@p258 @p256)) % 233.99/234.21 (step @p260 :rule refl :args (@t150)) % 233.99/234.21 (step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t152)) % 233.99/234.21 (step @p262 :rule trans :premises (@p261 @p255)) % 233.99/234.21 (step @p263 :rule refl :args (@t125)) % 233.99/234.21 (step @p264 :rule cong :premises (@p263 @p262) :args ((=> @t125 @t152))) % 233.99/234.21 (assume-push @p280 @t125) % 233.99/234.21 (step @p266 :rule instantiate :premises (@p254) :args ((@list @t109))) % 233.99/234.21 (step-pop @p281 :rule scope :premises (@p266)) % 233.99/234.21 (step @p267 :rule process_scope :premises (@p281) :args (@t152)) % 233.99/234.21 (step @p269 :rule eq_resolve :premises (@p267 @p264)) % 233.99/234.21 (step @p270 :rule implies_elim :premises (@p269)) % 233.99/234.21 (step @p271 :rule chain_m_resolution :premises (@p270 @p254) :args (@t150 @t101 (@list @t125))) % 233.99/234.21 (step @p272 :rule instantiate :premises (@p146) :args ((@list tptp.xn @t67))) % 233.99/234.21 (step @p273 :rule cnf_or_pos :args (@t153)) % 233.99/234.21 (step @p274 :rule reordering :premises (@p273) :args ((or @t113 @t117 @t149 (not @t153)))) % 233.99/234.21 (step @p275 false :rule chain_m_resolution :premises (@p274 @p272 @p271 @p119 @p38) :args (false (@list false true false false) (@list @t153 @t149 @t91 @t63))) % 233.99/234.21 ) % 233.99/234.21 % SZS output end Proof % 233.99/234.21 % cvc5 exiting %------------------------------------------------------------------------------