%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT018+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:43 AM UTC 2026 % Result : Theorem 0.18s 0.53s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT018+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n020.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Mon Sep 7 11:58:43 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.18/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/0.53 % SZS status Theorem % 0.18/0.53 % SZS output start Proof % 0.18/0.53 ( % 0.18/0.53 (declare-sort $$unsorted 0) % 0.18/0.53 (declare-const tptp.reorganization (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.reorganization_type (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.class (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.size (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.inertia (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.53 (define @t1 () (@var "T" $$unsorted)) % 0.18/0.53 (define @t2 () (@var "I" $$unsorted)) % 0.18/0.53 (define @t3 () (@var "X" $$unsorted)) % 0.18/0.53 (define @t4 () (tptp.inertia @t3 @t2 @t1)) % 0.18/0.53 (define @t5 () (@list @t2)) % 0.18/0.53 (define @t6 () (exists @t5 @t4)) % 0.18/0.53 (define @t7 () (tptp.organization @t3 @t1)) % 0.18/0.53 (define @t8 () (=> @t7 @t6)) % 0.18/0.53 (define @t9 () (@list @t3 @t1)) % 0.18/0.53 (define @t10 () (forall @t9 @t8)) % 0.18/0.53 (define @t11 () (@var "I1" $$unsorted)) % 0.18/0.53 (define @t12 () (@var "I2" $$unsorted)) % 0.18/0.53 (define @t13 () (tptp.greater @t12 @t11)) % 0.18/0.53 (define @t14 () (@var "S1" $$unsorted)) % 0.18/0.53 (define @t15 () (@var "S2" $$unsorted)) % 0.18/0.53 (define @t16 () (tptp.greater @t15 @t14)) % 0.18/0.53 (define @t17 () (@var "T2" $$unsorted)) % 0.18/0.53 (define @t18 () (@var "Y" $$unsorted)) % 0.18/0.53 (define @t19 () (tptp.inertia @t18 @t12 @t17)) % 0.18/0.53 (define @t20 () (@var "T1" $$unsorted)) % 0.18/0.53 (define @t21 () (tptp.inertia @t3 @t11 @t20)) % 0.18/0.53 (define @t22 () (tptp.size @t18 @t15 @t17)) % 0.18/0.53 (define @t23 () (tptp.size @t3 @t14 @t20)) % 0.18/0.53 (define @t24 () (@var "C" $$unsorted)) % 0.18/0.53 (define @t25 () (tptp.class @t18 @t24 @t17)) % 0.18/0.53 (define @t26 () (tptp.class @t3 @t24 @t20)) % 0.18/0.53 (define @t27 () (tptp.organization @t18 @t17)) % 0.18/0.53 (define @t28 () (tptp.organization @t3 @t20)) % 0.18/0.53 (define @t29 () (and @t28 @t27 @t26 @t25 @t23 @t22 @t21 @t19 @t16)) % 0.18/0.53 (define @t30 () (@list @t3 @t18 @t24 @t14 @t15 @t11 @t12 @t20 @t17)) % 0.18/0.53 (define @t31 () (forall @t30 (=> @t29 @t13))) % 0.18/0.53 (define @t32 () (@var "Tc" $$unsorted)) % 0.18/0.53 (define @t33 () (@var "Tb" $$unsorted)) % 0.18/0.53 (define @t34 () (tptp.greater @t33 @t32)) % 0.18/0.53 (define @t35 () (@var "Ta" $$unsorted)) % 0.18/0.53 (define @t36 () (tptp.inertia @t18 @t12 @t35)) % 0.18/0.53 (define @t37 () (tptp.inertia @t3 @t11 @t35)) % 0.18/0.53 (define @t38 () (@var "Rt" $$unsorted)) % 0.18/0.53 (define @t39 () (tptp.reorganization_type @t18 @t38 @t35)) % 0.18/0.53 (define @t40 () (tptp.reorganization_type @t3 @t38 @t35)) % 0.18/0.53 (define @t41 () (tptp.reorganization @t18 @t35 @t32)) % 0.18/0.53 (define @t42 () (tptp.reorganization @t3 @t35 @t33)) % 0.18/0.53 (define @t43 () (tptp.class @t18 @t24 @t35)) % 0.18/0.53 (define @t44 () (tptp.class @t3 @t24 @t35)) % 0.18/0.53 (define @t45 () (tptp.organization @t18 @t32)) % 0.18/0.53 (define @t46 () (not @t45)) % 0.18/0.53 (define @t47 () (tptp.organization @t18 @t35)) % 0.18/0.53 (define @t48 () (tptp.organization @t3 @t35)) % 0.18/0.53 (define @t49 () (and @t48 @t47 @t46 @t44 @t43 @t42 @t41 @t40 @t39 @t37 @t36 @t13)) % 0.18/0.53 (define @t50 () (forall (@list @t3 @t18 @t38 @t24 @t11 @t12 @t35 @t33 @t32) (=> @t49 @t34))) % 0.18/0.53 (define @t51 () (tptp.size @t18 @t15 @t35)) % 0.18/0.53 (define @t52 () (tptp.size @t3 @t14 @t35)) % 0.18/0.53 (define @t53 () (and @t48 @t47 @t46 @t44 @t43 @t42 @t41 @t40 @t39 @t52 @t51 @t16)) % 0.18/0.53 (define @t54 () (@list @t3 @t18 @t38 @t24 @t14 @t15 @t35 @t33 @t32)) % 0.18/0.53 (define @t55 () (forall @t54 (=> @t53 @t34))) % 0.18/0.53 (define @t56 () (not @t55)) % 0.18/0.53 (define @t57 () (not @t16)) % 0.18/0.53 (define @t58 () (not @t19)) % 0.18/0.53 (define @t59 () (not @t21)) % 0.18/0.53 (define @t60 () (not @t22)) % 0.18/0.53 (define @t61 () (not @t23)) % 0.18/0.53 (define @t62 () (not @t25)) % 0.18/0.53 (define @t63 () (not @t26)) % 0.18/0.53 (define @t64 () (not @t27)) % 0.18/0.53 (define @t65 () (not @t28)) % 0.18/0.53 (define @t66 () (or @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t13)) % 0.18/0.53 (define @t67 () (or @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57)) % 0.18/0.53 (define @t68 () (not @t13)) % 0.18/0.53 (define @t69 () (not @t36)) % 0.18/0.53 (define @t70 () (not @t37)) % 0.18/0.53 (define @t71 () (not @t39)) % 0.18/0.53 (define @t72 () (not @t40)) % 0.18/0.53 (define @t73 () (not @t41)) % 0.18/0.53 (define @t74 () (not @t42)) % 0.18/0.53 (define @t75 () (not @t43)) % 0.18/0.53 (define @t76 () (not @t44)) % 0.18/0.53 (define @t77 () (not @t47)) % 0.18/0.53 (define @t78 () (not @t48)) % 0.18/0.53 (define @t79 () (not @t46)) % 0.18/0.53 (define @t80 () (or @t78 @t77 @t79 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68)) % 0.18/0.53 (define @t81 () (not @t51)) % 0.18/0.53 (define @t82 () (not @t52)) % 0.18/0.53 (define @t83 () (or @t78 @t77 @t45 @t76 @t75 @t74 @t73 @t72 @t71 @t82 @t81 @t57 @t34)) % 0.18/0.53 (define @t84 () (forall @t54 @t83)) % 0.18/0.53 (define @t85 () (@quantifiers_skolemize @t84 8)) % 0.18/0.53 (define @t86 () (@quantifiers_skolemize @t84 7)) % 0.18/0.53 (define @t87 () (@quantifiers_skolemize @t84 6)) % 0.18/0.53 (define @t88 () (@quantifiers_skolemize @t84 1)) % 0.18/0.53 (define @t89 () (forall @t5 (not (tptp.inertia @t88 @t2 @t87)))) % 0.18/0.53 (define @t90 () (@quantifiers_skolemize @t89 0)) % 0.18/0.53 (define @t91 () (@quantifiers_skolemize @t84 0)) % 0.18/0.53 (define @t92 () (forall @t5 (not (tptp.inertia @t91 @t2 @t87)))) % 0.18/0.53 (define @t93 () (@quantifiers_skolemize @t92 0)) % 0.18/0.53 (define @t94 () (@quantifiers_skolemize @t84 3)) % 0.18/0.53 (define @t95 () (@quantifiers_skolemize @t84 2)) % 0.18/0.53 (define @t96 () (not (forall @t5 (not @t4)))) % 0.18/0.53 (define @t97 () (or @t78 @t77 @t79 @t76 @t75 @t74 @t73 @t72 @t71 @t82 @t81 @t57)) % 0.18/0.53 (define @t98 () (tptp.organization @t88 @t87)) % 0.18/0.53 (define @t99 () (tptp.greater @t86 @t85)) % 0.18/0.53 (define @t100 () (@quantifiers_skolemize @t84 4)) % 0.18/0.53 (define @t101 () (@quantifiers_skolemize @t84 5)) % 0.18/0.53 (define @t102 () (tptp.greater @t101 @t100)) % 0.18/0.53 (define @t103 () (not @t102)) % 0.18/0.53 (define @t104 () (tptp.size @t88 @t101 @t87)) % 0.18/0.53 (define @t105 () (not @t104)) % 0.18/0.53 (define @t106 () (tptp.size @t91 @t100 @t87)) % 0.18/0.53 (define @t107 () (not @t106)) % 0.18/0.53 (define @t108 () (tptp.reorganization_type @t88 @t95 @t87)) % 0.18/0.53 (define @t109 () (not @t108)) % 0.18/0.53 (define @t110 () (tptp.reorganization_type @t91 @t95 @t87)) % 0.18/0.53 (define @t111 () (not @t110)) % 0.18/0.53 (define @t112 () (tptp.reorganization @t88 @t87 @t85)) % 0.18/0.53 (define @t113 () (not @t112)) % 0.18/0.53 (define @t114 () (tptp.reorganization @t91 @t87 @t86)) % 0.18/0.53 (define @t115 () (not @t114)) % 0.18/0.53 (define @t116 () (tptp.class @t88 @t94 @t87)) % 0.18/0.53 (define @t117 () (not @t116)) % 0.18/0.53 (define @t118 () (tptp.class @t91 @t94 @t87)) % 0.18/0.53 (define @t119 () (not @t118)) % 0.18/0.53 (define @t120 () (tptp.organization @t88 @t85)) % 0.18/0.53 (define @t121 () (not @t98)) % 0.18/0.53 (define @t122 () (tptp.organization @t91 @t87)) % 0.18/0.53 (define @t123 () (not @t122)) % 0.18/0.53 (define @t124 () (or @t123 @t121 @t120 @t119 @t117 @t115 @t113 @t111 @t109 @t107 @t105 @t103 @t99)) % 0.18/0.53 (define @t125 () (@list true)) % 0.18/0.53 (define @t126 () (@list @t124)) % 0.18/0.53 (define @t127 () (not @t89)) % 0.18/0.53 (define @t128 () (or @t121 @t127)) % 0.18/0.53 (define @t129 () (@list false false)) % 0.18/0.53 (define @t130 () (tptp.inertia @t88 @t90 @t87)) % 0.18/0.53 (define @t131 () (not @t130)) % 0.18/0.53 (define @t132 () (not @t131)) % 0.18/0.53 (define @t133 () (not @t92)) % 0.18/0.53 (define @t134 () (or @t123 @t133)) % 0.18/0.53 (define @t135 () (tptp.inertia @t91 @t93 @t87)) % 0.18/0.53 (define @t136 () (not @t135)) % 0.18/0.53 (define @t137 () (not @t136)) % 0.18/0.53 (define @t138 () (tptp.greater @t90 @t93)) % 0.18/0.53 (define @t139 () (not @t138)) % 0.18/0.53 (define @t140 () (or @t123 @t121 @t120 @t119 @t117 @t115 @t113 @t111 @t109 @t136 @t131 @t139 @t99)) % 0.18/0.53 (define @t141 () (or @t123 @t121 @t119 @t117 @t107 @t105 @t136 @t131 @t103 @t138)) % 0.18/0.53 (define @t142 () (not @t141)) % 0.18/0.53 (define @t143 () (forall @t30 @t66)) % 0.18/0.53 (assume @p1 @t10) % 0.18/0.53 (assume @p2 @t31) % 0.18/0.53 (assume @p3 @t50) % 0.18/0.53 (assume @p4 @t56) % 0.18/0.53 (assume @p5 true) % 0.18/0.53 (step @p6 :rule aci_norm :args ((= (or @t67 @t13) @t66))) % 0.18/0.53 (step @p7 :rule refl :args (@t13)) % 0.18/0.53 (step @p8 :rule aci_norm :args ((= (or @t65 (or @t64 (or @t63 (or @t62 (or @t61 (or @t60 (or @t59 (or @t58 @t57)))))))) @t67))) % 0.18/0.53 (step @p9 :rule bool-and-de-morgan :args (@t19 @t16 true)) % 0.18/0.53 (step @p10 :rule refl :args (@t59)) % 0.18/0.53 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t59 (not (and @t19 @t16))))) % 0.18/0.53 (step @p12 :rule bool-and-de-morgan :args (@t21 @t19 (and @t16))) % 0.18/0.53 (step @p13 :rule trans :premises (@p12 @p11)) % 0.18/0.53 (step @p14 :rule refl :args (@t60)) % 0.18/0.53 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t60 (not (and @t21 @t19 @t16))))) % 0.18/0.53 (step @p16 :rule bool-and-de-morgan :args (@t22 @t21 (and @t19 @t16))) % 0.18/0.53 (step @p17 :rule trans :premises (@p16 @p15)) % 0.18/0.53 (step @p18 :rule refl :args (@t61)) % 0.18/0.53 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t61 (not (and @t22 @t21 @t19 @t16))))) % 0.18/0.53 (step @p20 :rule bool-and-de-morgan :args (@t23 @t22 (and @t21 @t19 @t16))) % 0.18/0.53 (step @p21 :rule trans :premises (@p20 @p19)) % 0.18/0.53 (step @p22 :rule refl :args (@t62)) % 0.18/0.53 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t62 (not (and @t23 @t22 @t21 @t19 @t16))))) % 0.18/0.53 (step @p24 :rule bool-and-de-morgan :args (@t25 @t23 (and @t22 @t21 @t19 @t16))) % 0.18/0.53 (step @p25 :rule trans :premises (@p24 @p23)) % 0.18/0.53 (step @p26 :rule refl :args (@t63)) % 0.18/0.53 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t63 (not (and @t25 @t23 @t22 @t21 @t19 @t16))))) % 0.18/0.53 (step @p28 :rule bool-and-de-morgan :args (@t26 @t25 (and @t23 @t22 @t21 @t19 @t16))) % 0.18/0.53 (step @p29 :rule trans :premises (@p28 @p27)) % 0.18/0.53 (step @p30 :rule refl :args (@t64)) % 0.18/0.53 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t64 (not (and @t26 @t25 @t23 @t22 @t21 @t19 @t16))))) % 0.18/0.53 (step @p32 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t23 @t22 @t21 @t19 @t16))) % 0.18/0.53 (step @p33 :rule trans :premises (@p32 @p31)) % 0.18/0.53 (step @p34 :rule refl :args (@t65)) % 0.18/0.53 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t65 (not (and @t27 @t26 @t25 @t23 @t22 @t21 @t19 @t16))))) % 0.18/0.53 (step @p36 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25 @t23 @t22 @t21 @t19 @t16))) % 0.18/0.53 (step @p37 :rule trans :premises (@p36 @p35)) % 0.18/0.53 (step @p38 :rule trans :premises (@p37 @p8)) % 0.18/0.53 (step @p39 :rule nary_cong :premises (@p38 @p7) :args ((or (not @t29) @t13))) % 0.18/0.53 (step @p40 :rule trans :premises (@p39 @p6)) % 0.18/0.53 (step @p41 :rule bool-impl-elim :args (@t29 @t13)) % 0.18/0.53 (step @p42 :rule trans :premises (@p41 @p40)) % 0.18/0.53 (step @p43 :rule cong :premises (@p42) :args (@t31)) % 0.18/0.53 (step @p44 :rule eq_resolve :premises (@p2 @p43)) % 0.18/0.53 (step @p45 :rule aci_norm :args ((= (or (or @t78 @t77 @t45 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68) @t34) (or @t78 @t77 @t45 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t34)))) % 0.18/0.53 (step @p46 :rule refl :args (@t34)) % 0.18/0.53 (step @p47 :rule refl :args (@t68)) % 0.18/0.53 (step @p48 :rule refl :args (@t69)) % 0.18/0.53 (step @p49 :rule refl :args (@t70)) % 0.18/0.53 (step @p50 :rule refl :args (@t71)) % 0.18/0.53 (step @p51 :rule refl :args (@t72)) % 0.18/0.53 (step @p52 :rule refl :args (@t73)) % 0.18/0.53 (step @p53 :rule refl :args (@t74)) % 0.18/0.53 (step @p54 :rule refl :args (@t75)) % 0.18/0.53 (step @p55 :rule refl :args (@t76)) % 0.18/0.53 (step @p56 :rule bool-double-not-elim :args (@t45)) % 0.18/0.53 (step @p57 :rule refl :args (@t77)) % 0.18/0.53 (step @p58 :rule refl :args (@t78)) % 0.18/0.53 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47) :args (@t80)) % 0.18/0.53 (step @p60 :rule aci_norm :args ((= (or @t78 (or @t77 (or @t79 (or @t76 (or @t75 (or @t74 (or @t73 (or @t72 (or @t71 (or @t70 (or @t69 @t68))))))))))) @t80))) % 0.18/0.53 (step @p61 :rule trans :premises (@p60 @p59)) % 0.18/0.53 (step @p62 :rule bool-and-de-morgan :args (@t36 @t13 true)) % 0.18/0.53 (step @p63 :rule nary_cong :premises (@p49 @p62) :args ((or @t70 (not (and @t36 @t13))))) % 0.18/0.53 (step @p64 :rule bool-and-de-morgan :args (@t37 @t36 (and @t13))) % 0.18/0.53 (step @p65 :rule trans :premises (@p64 @p63)) % 0.18/0.53 (step @p66 :rule nary_cong :premises (@p50 @p65) :args ((or @t71 (not (and @t37 @t36 @t13))))) % 0.18/0.53 (step @p67 :rule bool-and-de-morgan :args (@t39 @t37 (and @t36 @t13))) % 0.18/0.53 (step @p68 :rule trans :premises (@p67 @p66)) % 0.18/0.53 (step @p69 :rule nary_cong :premises (@p51 @p68) :args ((or @t72 (not (and @t39 @t37 @t36 @t13))))) % 0.18/0.53 (step @p70 :rule bool-and-de-morgan :args (@t40 @t39 (and @t37 @t36 @t13))) % 0.18/0.53 (step @p71 :rule trans :premises (@p70 @p69)) % 0.18/0.53 (step @p72 :rule nary_cong :premises (@p52 @p71) :args ((or @t73 (not (and @t40 @t39 @t37 @t36 @t13))))) % 0.18/0.53 (step @p73 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39 @t37 @t36 @t13))) % 0.18/0.53 (step @p74 :rule trans :premises (@p73 @p72)) % 0.18/0.53 (step @p75 :rule nary_cong :premises (@p53 @p74) :args ((or @t74 (not (and @t41 @t40 @t39 @t37 @t36 @t13))))) % 0.18/0.53 (step @p76 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t39 @t37 @t36 @t13))) % 0.18/0.53 (step @p77 :rule trans :premises (@p76 @p75)) % 0.18/0.53 (step @p78 :rule nary_cong :premises (@p54 @p77) :args ((or @t75 (not (and @t42 @t41 @t40 @t39 @t37 @t36 @t13))))) % 0.18/0.53 (step @p79 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t40 @t39 @t37 @t36 @t13))) % 0.18/0.53 (step @p80 :rule trans :premises (@p79 @p78)) % 0.18/0.53 (step @p81 :rule nary_cong :premises (@p55 @p80) :args ((or @t76 (not (and @t43 @t42 @t41 @t40 @t39 @t37 @t36 @t13))))) % 0.18/0.53 (step @p82 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42 @t41 @t40 @t39 @t37 @t36 @t13))) % 0.18/0.53 (step @p83 :rule trans :premises (@p82 @p81)) % 0.18/0.53 (step @p84 :rule refl :args (@t79)) % 0.18/0.53 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t79 (not (and @t44 @t43 @t42 @t41 @t40 @t39 @t37 @t36 @t13))))) % 0.18/0.53 (step @p86 :rule bool-and-de-morgan :args (@t46 @t44 (and @t43 @t42 @t41 @t40 @t39 @t37 @t36 @t13))) % 0.18/0.53 (step @p87 :rule trans :premises (@p86 @p85)) % 0.18/0.53 (step @p88 :rule nary_cong :premises (@p57 @p87) :args ((or @t77 (not (and @t46 @t44 @t43 @t42 @t41 @t40 @t39 @t37 @t36 @t13))))) % 0.18/0.53 (step @p89 :rule bool-and-de-morgan :args (@t47 @t46 (and @t44 @t43 @t42 @t41 @t40 @t39 @t37 @t36 @t13))) % 0.18/0.53 (step @p90 :rule trans :premises (@p89 @p88)) % 0.18/0.53 (step @p91 :rule nary_cong :premises (@p58 @p90) :args ((or @t78 (not (and @t47 @t46 @t44 @t43 @t42 @t41 @t40 @t39 @t37 @t36 @t13))))) % 0.18/0.53 (step @p92 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46 @t44 @t43 @t42 @t41 @t40 @t39 @t37 @t36 @t13))) % 0.18/0.53 (step @p93 :rule trans :premises (@p92 @p91)) % 0.18/0.53 (step @p94 :rule trans :premises (@p93 @p61)) % 0.18/0.53 (step @p95 :rule nary_cong :premises (@p94 @p46) :args ((or (not @t49) @t34))) % 0.18/0.53 (step @p96 :rule trans :premises (@p95 @p45)) % 0.18/0.53 (step @p97 :rule bool-impl-elim :args (@t49 @t34)) % 0.18/0.53 (step @p98 :rule trans :premises (@p97 @p96)) % 0.18/0.53 (step @p99 :rule cong :premises (@p98) :args (@t50)) % 0.18/0.53 (step @p100 :rule eq_resolve :premises (@p3 @p99)) % 0.18/0.53 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t91 @t88 @t95 @t94 @t93 @t90 @t87 @t86 @t85))) % 0.18/0.53 (step @p102 :rule bool-impl-elim :args (@t7 @t96)) % 0.18/0.53 (step @p103 :rule cong :premises (@p102) :args ((forall @t9 (=> @t7 @t96)))) % 0.18/0.53 (step @p104 :rule exists-elim :args ((= @t6 @t96))) % 0.18/0.53 (step @p105 :rule refl :args (@t7)) % 0.18/0.53 (step @p106 :rule cong :premises (@p105 @p104) :args (@t8)) % 0.18/0.53 (step @p107 :rule cong :premises (@p106) :args (@t10)) % 0.18/0.53 (step @p108 :rule trans :premises (@p107 @p103)) % 0.18/0.53 (step @p109 :rule eq_resolve :premises (@p1 @p108)) % 0.18/0.53 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t88 @t87))) % 0.18/0.53 (step @p111 :rule aci_norm :args ((= (or (or @t78 @t77 @t45 @t76 @t75 @t74 @t73 @t72 @t71 @t82 @t81 @t57) @t34) @t83))) % 0.18/0.53 (step @p112 :rule refl :args (@t57)) % 0.18/0.53 (step @p113 :rule refl :args (@t81)) % 0.18/0.53 (step @p114 :rule refl :args (@t82)) % 0.18/0.53 (step @p115 :rule nary_cong :premises (@p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p114 @p113 @p112) :args (@t97)) % 0.18/0.53 (step @p116 :rule aci_norm :args ((= (or @t78 (or @t77 (or @t79 (or @t76 (or @t75 (or @t74 (or @t73 (or @t72 (or @t71 (or @t82 (or @t81 @t57))))))))))) @t97))) % 0.18/0.53 (step @p117 :rule trans :premises (@p116 @p115)) % 0.18/0.53 (step @p118 :rule bool-and-de-morgan :args (@t51 @t16 true)) % 0.18/0.53 (step @p119 :rule nary_cong :premises (@p114 @p118) :args ((or @t82 (not (and @t51 @t16))))) % 0.18/0.53 (step @p120 :rule bool-and-de-morgan :args (@t52 @t51 (and @t16))) % 0.18/0.53 (step @p121 :rule trans :premises (@p120 @p119)) % 0.18/0.53 (step @p122 :rule nary_cong :premises (@p50 @p121) :args ((or @t71 (not (and @t52 @t51 @t16))))) % 0.18/0.53 (step @p123 :rule bool-and-de-morgan :args (@t39 @t52 (and @t51 @t16))) % 0.18/0.53 (step @p124 :rule trans :premises (@p123 @p122)) % 0.18/0.53 (step @p125 :rule nary_cong :premises (@p51 @p124) :args ((or @t72 (not (and @t39 @t52 @t51 @t16))))) % 0.18/0.53 (step @p126 :rule bool-and-de-morgan :args (@t40 @t39 (and @t52 @t51 @t16))) % 0.18/0.53 (step @p127 :rule trans :premises (@p126 @p125)) % 0.18/0.53 (step @p128 :rule nary_cong :premises (@p52 @p127) :args ((or @t73 (not (and @t40 @t39 @t52 @t51 @t16))))) % 0.18/0.53 (step @p129 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39 @t52 @t51 @t16))) % 0.18/0.53 (step @p130 :rule trans :premises (@p129 @p128)) % 0.18/0.53 (step @p131 :rule nary_cong :premises (@p53 @p130) :args ((or @t74 (not (and @t41 @t40 @t39 @t52 @t51 @t16))))) % 0.18/0.53 (step @p132 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t39 @t52 @t51 @t16))) % 0.18/0.53 (step @p133 :rule trans :premises (@p132 @p131)) % 0.18/0.53 (step @p134 :rule nary_cong :premises (@p54 @p133) :args ((or @t75 (not (and @t42 @t41 @t40 @t39 @t52 @t51 @t16))))) % 0.18/0.53 (step @p135 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t40 @t39 @t52 @t51 @t16))) % 0.18/0.53 (step @p136 :rule trans :premises (@p135 @p134)) % 0.18/0.53 (step @p137 :rule nary_cong :premises (@p55 @p136) :args ((or @t76 (not (and @t43 @t42 @t41 @t40 @t39 @t52 @t51 @t16))))) % 0.18/0.53 (step @p138 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42 @t41 @t40 @t39 @t52 @t51 @t16))) % 0.18/0.53 (step @p139 :rule trans :premises (@p138 @p137)) % 0.18/0.53 (step @p140 :rule nary_cong :premises (@p84 @p139) :args ((or @t79 (not (and @t44 @t43 @t42 @t41 @t40 @t39 @t52 @t51 @t16))))) % 0.18/0.53 (step @p141 :rule bool-and-de-morgan :args (@t46 @t44 (and @t43 @t42 @t41 @t40 @t39 @t52 @t51 @t16))) % 0.18/0.53 (step @p142 :rule trans :premises (@p141 @p140)) % 0.18/0.53 (step @p143 :rule nary_cong :premises (@p57 @p142) :args ((or @t77 (not (and @t46 @t44 @t43 @t42 @t41 @t40 @t39 @t52 @t51 @t16))))) % 0.18/0.53 (step @p144 :rule bool-and-de-morgan :args (@t47 @t46 (and @t44 @t43 @t42 @t41 @t40 @t39 @t52 @t51 @t16))) % 0.18/0.53 (step @p145 :rule trans :premises (@p144 @p143)) % 0.18/0.53 (step @p146 :rule nary_cong :premises (@p58 @p145) :args ((or @t78 (not (and @t47 @t46 @t44 @t43 @t42 @t41 @t40 @t39 @t52 @t51 @t16))))) % 0.18/0.53 (step @p147 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46 @t44 @t43 @t42 @t41 @t40 @t39 @t52 @t51 @t16))) % 0.18/0.53 (step @p148 :rule trans :premises (@p147 @p146)) % 0.18/0.53 (step @p149 :rule trans :premises (@p148 @p117)) % 0.18/0.53 (step @p150 :rule nary_cong :premises (@p149 @p46) :args ((or (not @t53) @t34))) % 0.18/0.53 (step @p151 :rule trans :premises (@p150 @p111)) % 0.18/0.53 (step @p152 :rule bool-impl-elim :args (@t53 @t34)) % 0.18/0.53 (step @p153 :rule trans :premises (@p152 @p151)) % 0.18/0.53 (step @p154 :rule cong :premises (@p153) :args (@t55)) % 0.18/0.53 (step @p155 :rule cong :premises (@p154) :args (@t56)) % 0.18/0.53 (step @p156 :rule eq_resolve :premises (@p4 @p155)) % 0.18/0.53 (step @p157 :rule skolemize :premises (@p156)) % 0.18/0.53 (step @p158 :rule bool-double-not-elim :args (@t98)) % 0.18/0.53 (step @p159 :rule refl :args (@t124)) % 0.18/0.53 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t124 (not @t121)))) % 0.18/0.53 (step @p161 :rule cnf_or_neg :args (@t124 1)) % 0.18/0.53 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.18/0.53 (step @p163 :rule reordering :premises (@p162) :args ((or @t98 @t124))) % 0.18/0.53 (step @p164 :rule chain_m_resolution :premises (@p163 @p157) :args (@t98 @t125 @t126)) % 0.18/0.53 (step @p165 :rule cnf_or_pos :args (@t128)) % 0.18/0.53 (step @p166 :rule reordering :premises (@p165) :args ((or @t121 @t127 (not @t128)))) % 0.18/0.53 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p110) :args (@t127 @t129 (@list @t98 @t128))) % 0.18/0.53 (step @p168 :rule refl :args (@t130)) % 0.18/0.53 (step @p169 :rule bool-double-not-elim :args (@t89)) % 0.18/0.53 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or (not @t127) @t130))) % 0.18/0.53 (step @p171 :rule bool-double-not-elim :args (@t130)) % 0.18/0.53 (step @p172 :rule refl :args (@t127)) % 0.18/0.53 (step @p173 :rule cong :premises (@p172 @p171) :args ((=> @t127 @t132))) % 0.18/0.53 (assume-push @p276 @t127) % 0.18/0.53 (step @p175 :rule skolemize :premises (@p167)) % 0.18/0.53 (step-pop @p277 :rule scope :premises (@p175)) % 0.18/0.53 (step @p176 :rule process_scope :premises (@p277) :args (@t132)) % 0.18/0.53 (step @p178 :rule eq_resolve :premises (@p176 @p173)) % 0.18/0.53 (step @p179 :rule implies_elim :premises (@p178)) % 0.18/0.53 (step @p180 :rule eq_resolve :premises (@p179 @p170)) % 0.18/0.53 (step @p181 :rule chain_m_resolution :premises (@p180 @p167) :args (@t130 @t125 (@list @t89))) % 0.18/0.53 (step @p182 :rule instantiate :premises (@p109) :args ((@list @t91 @t87))) % 0.18/0.53 (step @p183 :rule bool-double-not-elim :args (@t122)) % 0.18/0.53 (step @p184 :rule nary_cong :premises (@p159 @p183) :args ((or @t124 (not @t123)))) % 0.18/0.53 (step @p185 :rule cnf_or_neg :args (@t124 0)) % 0.18/0.53 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.18/0.53 (step @p187 :rule reordering :premises (@p186) :args ((or @t122 @t124))) % 0.18/0.53 (step @p188 :rule chain_m_resolution :premises (@p187 @p157) :args (@t122 @t125 @t126)) % 0.18/0.53 (step @p189 :rule cnf_or_pos :args (@t134)) % 0.18/0.53 (step @p190 :rule reordering :premises (@p189) :args ((or @t123 @t133 (not @t134)))) % 0.18/0.53 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p182) :args (@t133 @t129 (@list @t122 @t134))) % 0.18/0.53 (step @p192 :rule refl :args (@t135)) % 0.18/0.53 (step @p193 :rule bool-double-not-elim :args (@t92)) % 0.18/0.53 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or (not @t133) @t135))) % 0.18/0.53 (step @p195 :rule bool-double-not-elim :args (@t135)) % 0.18/0.53 (step @p196 :rule refl :args (@t133)) % 0.18/0.53 (step @p197 :rule cong :premises (@p196 @p195) :args ((=> @t133 @t137))) % 0.18/0.53 (assume-push @p278 @t133) % 0.18/0.53 (step @p199 :rule skolemize :premises (@p191)) % 0.18/0.53 (step-pop @p279 :rule scope :premises (@p199)) % 0.18/0.53 (step @p200 :rule process_scope :premises (@p279) :args (@t137)) % 0.18/0.53 (step @p202 :rule eq_resolve :premises (@p200 @p197)) % 0.18/0.53 (step @p203 :rule implies_elim :premises (@p202)) % 0.18/0.53 (step @p204 :rule eq_resolve :premises (@p203 @p194)) % 0.18/0.53 (step @p205 :rule chain_m_resolution :premises (@p204 @p191) :args (@t135 @t125 (@list @t92))) % 0.18/0.53 (step @p206 :rule cnf_or_neg :args (@t124 12)) % 0.18/0.53 (step @p207 :rule chain_m_resolution :premises (@p206 @p157) :args ((not @t99) @t125 @t126)) % 0.18/0.53 (step @p208 :rule bool-double-not-elim :args (@t108)) % 0.18/0.53 (step @p209 :rule nary_cong :premises (@p159 @p208) :args ((or @t124 (not @t109)))) % 0.18/0.53 (step @p210 :rule cnf_or_neg :args (@t124 8)) % 0.18/0.53 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 0.18/0.53 (step @p212 :rule reordering :premises (@p211) :args ((or @t108 @t124))) % 0.18/0.53 (step @p213 :rule chain_m_resolution :premises (@p212 @p157) :args (@t108 @t125 @t126)) % 0.18/0.53 (step @p214 :rule bool-double-not-elim :args (@t110)) % 0.18/0.53 (step @p215 :rule nary_cong :premises (@p159 @p214) :args ((or @t124 (not @t111)))) % 0.18/0.53 (step @p216 :rule cnf_or_neg :args (@t124 7)) % 0.18/0.53 (step @p217 :rule eq_resolve :premises (@p216 @p215)) % 0.18/0.53 (step @p218 :rule reordering :premises (@p217) :args ((or @t110 @t124))) % 0.18/0.53 (step @p219 :rule chain_m_resolution :premises (@p218 @p157) :args (@t110 @t125 @t126)) % 0.18/0.53 (step @p220 :rule bool-double-not-elim :args (@t112)) % 0.18/0.53 (step @p221 :rule nary_cong :premises (@p159 @p220) :args ((or @t124 (not @t113)))) % 0.18/0.53 (step @p222 :rule cnf_or_neg :args (@t124 6)) % 0.18/0.53 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 0.18/0.53 (step @p224 :rule reordering :premises (@p223) :args ((or @t112 @t124))) % 0.18/0.53 (step @p225 :rule chain_m_resolution :premises (@p224 @p157) :args (@t112 @t125 @t126)) % 0.18/0.53 (step @p226 :rule bool-double-not-elim :args (@t114)) % 0.18/0.53 (step @p227 :rule nary_cong :premises (@p159 @p226) :args ((or @t124 (not @t115)))) % 0.18/0.53 (step @p228 :rule cnf_or_neg :args (@t124 5)) % 0.18/0.53 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 0.18/0.53 (step @p230 :rule reordering :premises (@p229) :args ((or @t114 @t124))) % 0.18/0.53 (step @p231 :rule chain_m_resolution :premises (@p230 @p157) :args (@t114 @t125 @t126)) % 0.18/0.53 (step @p232 :rule bool-double-not-elim :args (@t116)) % 0.18/0.53 (step @p233 :rule nary_cong :premises (@p159 @p232) :args ((or @t124 (not @t117)))) % 0.18/0.53 (step @p234 :rule cnf_or_neg :args (@t124 4)) % 0.18/0.53 (step @p235 :rule eq_resolve :premises (@p234 @p233)) % 0.18/0.53 (step @p236 :rule reordering :premises (@p235) :args ((or @t116 @t124))) % 0.18/0.53 (step @p237 :rule chain_m_resolution :premises (@p236 @p157) :args (@t116 @t125 @t126)) % 0.18/0.53 (step @p238 :rule bool-double-not-elim :args (@t118)) % 0.18/0.53 (step @p239 :rule nary_cong :premises (@p159 @p238) :args ((or @t124 (not @t119)))) % 0.18/0.53 (step @p240 :rule cnf_or_neg :args (@t124 3)) % 0.18/0.53 (step @p241 :rule eq_resolve :premises (@p240 @p239)) % 0.18/0.53 (step @p242 :rule reordering :premises (@p241) :args ((or @t118 @t124))) % 0.18/0.53 (step @p243 :rule chain_m_resolution :premises (@p242 @p157) :args (@t118 @t125 @t126)) % 0.18/0.53 (step @p244 :rule cnf_or_neg :args (@t124 2)) % 0.18/0.53 (step @p245 :rule chain_m_resolution :premises (@p244 @p157) :args ((not @t120) @t125 @t126)) % 0.18/0.53 (step @p246 :rule cnf_or_pos :args (@t140)) % 0.18/0.53 (step @p247 :rule reordering :premises (@p246) :args ((or @t123 @t121 @t120 @t119 @t117 @t115 @t113 @t111 @t109 @t99 @t136 @t131 @t139 (not @t140)))) % 0.18/0.53 (step @p248 :rule chain_m_resolution :premises (@p247 @p188 @p164 @p245 @p243 @p237 @p231 @p225 @p219 @p213 @p207 @p205 @p181 @p101) :args (@t139 (@list false false true false false false false false false true false false false) (@list @t122 @t98 @t120 @t118 @t116 @t114 @t112 @t110 @t108 @t99 @t135 @t130 @t140))) % 0.18/0.53 (step @p249 :rule bool-double-not-elim :args (@t102)) % 0.18/0.53 (step @p250 :rule nary_cong :premises (@p159 @p249) :args ((or @t124 (not @t103)))) % 0.18/0.53 (step @p251 :rule cnf_or_neg :args (@t124 11)) % 0.18/0.53 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 0.18/0.53 (step @p253 :rule reordering :premises (@p252) :args ((or @t102 @t124))) % 0.18/0.53 (step @p254 :rule chain_m_resolution :premises (@p253 @p157) :args (@t102 @t125 @t126)) % 0.18/0.53 (step @p255 :rule bool-double-not-elim :args (@t104)) % 0.18/0.53 (step @p256 :rule nary_cong :premises (@p159 @p255) :args ((or @t124 (not @t105)))) % 0.18/0.53 (step @p257 :rule cnf_or_neg :args (@t124 10)) % 0.18/0.53 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 0.18/0.53 (step @p259 :rule reordering :premises (@p258) :args ((or @t104 @t124))) % 0.18/0.53 (step @p260 :rule chain_m_resolution :premises (@p259 @p157) :args (@t104 @t125 @t126)) % 0.18/0.53 (step @p261 :rule bool-double-not-elim :args (@t106)) % 0.18/0.53 (step @p262 :rule nary_cong :premises (@p159 @p261) :args ((or @t124 (not @t107)))) % 0.18/0.53 (step @p263 :rule cnf_or_neg :args (@t124 9)) % 0.18/0.53 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 0.18/0.53 (step @p265 :rule reordering :premises (@p264) :args ((or @t106 @t124))) % 0.18/0.53 (step @p266 :rule chain_m_resolution :premises (@p265 @p157) :args (@t106 @t125 @t126)) % 0.18/0.53 (step @p267 :rule cnf_or_pos :args (@t141)) % 0.18/0.53 (step @p268 :rule reordering :premises (@p267) :args ((or @t123 @t121 @t119 @t117 @t107 @t105 @t103 @t136 @t131 @t138 @t142))) % 0.18/0.53 (step @p269 :rule chain_m_resolution :premises (@p268 @p188 @p164 @p243 @p237 @p266 @p260 @p254 @p205 @p181 @p248) :args (@t142 (@list false false false false false false false false false true) (@list @t122 @t98 @t118 @t116 @t106 @t104 @t102 @t135 @t130 @t138))) % 0.18/0.53 (assume-push @p280 @t143) % 0.18/0.53 (step @p271 :rule instantiate :premises (@p44) :args ((@list @t91 @t88 @t94 @t100 @t101 @t93 @t90 @t87 @t87))) % 0.18/0.53 (step-pop @p281 :rule scope :premises (@p271)) % 0.18/0.53 (step @p272 :rule process_scope :premises (@p281) :args (@t141)) % 0.18/0.53 (step @p274 :rule implies_elim :premises (@p272)) % 0.18/0.53 (step @p275 false :rule chain_m_resolution :premises (@p274 @p269 @p44) :args (false (@list true false) (@list @t141 @t143))) % 0.18/0.53 ) % 0.18/0.53 % SZS output end Proof % 0.18/0.53 % cvc5 exiting %------------------------------------------------------------------------------