%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT011+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 06:04:42 AM UTC 2026 % Result : Theorem 0.08s 0.40s % Output : Proof 0.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : MGT011+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.04/0.30 % Computer : n012.cluster.edu % 0.04/0.30 % Model : x86_64 x86_64 % 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.04/0.30 % Memory : 8046.5625MB % 0.04/0.30 % OS : Linux 6.8.0-71-generic % 0.04/0.30 % CPULimit : 300 % 0.04/0.30 % WCLimit : 300 % 0.04/0.30 % DateTime : Mon Sep 7 11:48:56 UTC 2026 % 0.04/0.31 % CPUTime : % 0.08/0.35 %----Proving TF0_NAR, FOF, or CNF % 0.08/0.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.08/0.40 % SZS status Theorem % 0.08/0.40 % SZS output start Proof % 0.08/0.40 ( % 0.08/0.40 (declare-sort $$unsorted 0) % 0.08/0.40 (declare-const tptp.size (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.40 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.40 (declare-const tptp.class (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.40 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.08/0.40 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.08/0.40 (declare-const tptp.inertia (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.08/0.40 (define @t1 () (@var "T" $$unsorted)) % 0.08/0.40 (define @t2 () (@var "I" $$unsorted)) % 0.08/0.40 (define @t3 () (@var "X" $$unsorted)) % 0.08/0.40 (define @t4 () (tptp.inertia @t3 @t2 @t1)) % 0.08/0.40 (define @t5 () (@list @t2)) % 0.08/0.40 (define @t6 () (exists @t5 @t4)) % 0.08/0.40 (define @t7 () (tptp.organization @t3 @t1)) % 0.08/0.40 (define @t8 () (=> @t7 @t6)) % 0.08/0.40 (define @t9 () (@list @t3 @t1)) % 0.08/0.40 (define @t10 () (forall @t9 @t8)) % 0.08/0.40 (define @t11 () (@var "Y" $$unsorted)) % 0.08/0.40 (define @t12 () (tptp.greater @t3 @t11)) % 0.08/0.40 (define @t13 () (@list @t3 @t11)) % 0.08/0.40 (define @t14 () (tptp.greater @t11 @t3)) % 0.08/0.40 (define @t15 () (forall @t13 (not (and @t12 @t14)))) % 0.08/0.40 (define @t16 () (@var "C" $$unsorted)) % 0.08/0.40 (define @t17 () (tptp.class @t3 @t16 @t1)) % 0.08/0.40 (define @t18 () (@list @t16)) % 0.08/0.40 (define @t19 () (exists @t18 @t17)) % 0.08/0.40 (define @t20 () (=> @t7 @t19)) % 0.08/0.40 (define @t21 () (forall @t9 @t20)) % 0.08/0.40 (define @t22 () (@var "C2" $$unsorted)) % 0.08/0.40 (define @t23 () (@var "C1" $$unsorted)) % 0.08/0.40 (define @t24 () (= @t23 @t22)) % 0.08/0.40 (define @t25 () (@var "T2" $$unsorted)) % 0.08/0.40 (define @t26 () (tptp.class @t3 @t22 @t25)) % 0.08/0.40 (define @t27 () (@var "T1" $$unsorted)) % 0.08/0.40 (define @t28 () (tptp.class @t3 @t23 @t27)) % 0.08/0.40 (define @t29 () (tptp.reorganization_free @t3 @t27 @t25)) % 0.08/0.40 (define @t30 () (tptp.organization @t3 @t25)) % 0.08/0.40 (define @t31 () (tptp.organization @t3 @t27)) % 0.08/0.40 (define @t32 () (and @t31 @t30 @t29 @t28 @t26)) % 0.08/0.40 (define @t33 () (forall (@list @t3 @t27 @t25 @t23 @t22) (=> @t32 @t24))) % 0.08/0.40 (define @t34 () (@var "I1" $$unsorted)) % 0.08/0.40 (define @t35 () (@var "I2" $$unsorted)) % 0.08/0.40 (define @t36 () (tptp.greater @t35 @t34)) % 0.08/0.40 (define @t37 () (@var "S1" $$unsorted)) % 0.08/0.40 (define @t38 () (@var "S2" $$unsorted)) % 0.08/0.40 (define @t39 () (tptp.greater @t38 @t37)) % 0.08/0.40 (define @t40 () (tptp.inertia @t11 @t35 @t25)) % 0.08/0.40 (define @t41 () (tptp.inertia @t3 @t34 @t27)) % 0.08/0.40 (define @t42 () (tptp.size @t11 @t38 @t25)) % 0.08/0.40 (define @t43 () (tptp.size @t3 @t37 @t27)) % 0.08/0.40 (define @t44 () (tptp.class @t11 @t16 @t25)) % 0.08/0.40 (define @t45 () (tptp.class @t3 @t16 @t27)) % 0.08/0.40 (define @t46 () (tptp.organization @t11 @t25)) % 0.08/0.40 (define @t47 () (and @t31 @t46 @t45 @t44 @t43 @t42 @t41 @t40 @t39)) % 0.08/0.40 (define @t48 () (forall (@list @t3 @t11 @t16 @t37 @t38 @t34 @t35 @t27 @t25) (=> @t47 @t36))) % 0.08/0.40 (define @t49 () (tptp.greater @t25 @t27)) % 0.08/0.40 (define @t50 () (tptp.inertia @t3 @t35 @t25)) % 0.08/0.40 (define @t51 () (and @t31 @t30 @t29 @t41 @t50 @t49)) % 0.08/0.40 (define @t52 () (forall (@list @t3 @t34 @t35 @t27 @t25) (=> @t51 @t36))) % 0.08/0.40 (define @t53 () (not (tptp.greater @t37 @t38))) % 0.08/0.40 (define @t54 () (tptp.size @t3 @t38 @t25)) % 0.08/0.40 (define @t55 () (and @t31 @t30 @t29 @t43 @t54 @t49)) % 0.08/0.40 (define @t56 () (@list @t3 @t37 @t38 @t27 @t25)) % 0.08/0.40 (define @t57 () (forall @t56 (=> @t55 @t53))) % 0.08/0.40 (define @t58 () (not @t57)) % 0.08/0.40 (define @t59 () (not @t49)) % 0.08/0.40 (define @t60 () (not @t50)) % 0.08/0.40 (define @t61 () (not @t41)) % 0.08/0.40 (define @t62 () (not @t29)) % 0.08/0.40 (define @t63 () (not @t30)) % 0.08/0.40 (define @t64 () (not @t31)) % 0.08/0.40 (define @t65 () (or @t64 @t63 @t62 @t61 @t60 @t59)) % 0.08/0.40 (define @t66 () (not @t54)) % 0.08/0.40 (define @t67 () (not @t43)) % 0.08/0.40 (define @t68 () (or @t64 @t63 @t62 @t67 @t66 @t59 @t53)) % 0.08/0.40 (define @t69 () (forall @t56 @t68)) % 0.08/0.40 (define @t70 () (@quantifiers_skolemize @t69 4)) % 0.08/0.40 (define @t71 () (@quantifiers_skolemize @t69 3)) % 0.08/0.40 (define @t72 () (@quantifiers_skolemize @t69 0)) % 0.08/0.40 (define @t73 () (forall @t5 (not (tptp.inertia @t72 @t2 @t70)))) % 0.08/0.40 (define @t74 () (@quantifiers_skolemize @t73 0)) % 0.08/0.40 (define @t75 () (forall @t5 (not (tptp.inertia @t72 @t2 @t71)))) % 0.08/0.40 (define @t76 () (@quantifiers_skolemize @t75 0)) % 0.08/0.40 (define @t77 () (not (forall @t5 (not @t4)))) % 0.08/0.40 (define @t78 () (@list @t72 @t70)) % 0.08/0.40 (define @t79 () (or @t64 @t63 @t62 @t67 @t66 @t59)) % 0.08/0.40 (define @t80 () (tptp.organization @t72 @t70)) % 0.08/0.40 (define @t81 () (@quantifiers_skolemize @t69 2)) % 0.08/0.40 (define @t82 () (@quantifiers_skolemize @t69 1)) % 0.08/0.40 (define @t83 () (tptp.greater @t82 @t81)) % 0.08/0.40 (define @t84 () (not @t83)) % 0.08/0.40 (define @t85 () (tptp.greater @t70 @t71)) % 0.08/0.40 (define @t86 () (not @t85)) % 0.08/0.40 (define @t87 () (tptp.size @t72 @t81 @t70)) % 0.08/0.40 (define @t88 () (not @t87)) % 0.08/0.40 (define @t89 () (tptp.size @t72 @t82 @t71)) % 0.08/0.40 (define @t90 () (not @t89)) % 0.08/0.40 (define @t91 () (tptp.reorganization_free @t72 @t71 @t70)) % 0.08/0.40 (define @t92 () (not @t91)) % 0.08/0.40 (define @t93 () (not @t80)) % 0.08/0.40 (define @t94 () (tptp.organization @t72 @t71)) % 0.08/0.40 (define @t95 () (not @t94)) % 0.08/0.40 (define @t96 () (or @t95 @t93 @t92 @t90 @t88 @t86 @t84)) % 0.08/0.40 (define @t97 () (@list true)) % 0.08/0.40 (define @t98 () (@list @t96)) % 0.08/0.40 (define @t99 () (not @t73)) % 0.08/0.40 (define @t100 () (or @t93 @t99)) % 0.08/0.40 (define @t101 () (@list false false)) % 0.08/0.40 (define @t102 () (tptp.inertia @t72 @t74 @t70)) % 0.08/0.40 (define @t103 () (not @t102)) % 0.08/0.40 (define @t104 () (not @t103)) % 0.08/0.40 (define @t105 () (@list @t72 @t71)) % 0.08/0.40 (define @t106 () (not @t75)) % 0.08/0.40 (define @t107 () (or @t95 @t106)) % 0.08/0.40 (define @t108 () (tptp.inertia @t72 @t76 @t71)) % 0.08/0.40 (define @t109 () (not @t108)) % 0.08/0.40 (define @t110 () (not @t109)) % 0.08/0.40 (define @t111 () (tptp.greater @t74 @t76)) % 0.08/0.40 (define @t112 () (or @t95 @t93 @t92 @t109 @t103 @t86 @t111)) % 0.08/0.40 (define @t113 () (not @t39)) % 0.08/0.40 (define @t114 () (not @t40)) % 0.08/0.40 (define @t115 () (not @t42)) % 0.08/0.40 (define @t116 () (not @t44)) % 0.08/0.40 (define @t117 () (not @t45)) % 0.08/0.40 (define @t118 () (not @t46)) % 0.08/0.40 (define @t119 () (or @t64 @t118 @t117 @t116 @t67 @t115 @t61 @t114 @t113)) % 0.08/0.40 (define @t120 () (forall @t18 (not (tptp.class @t72 @t16 @t70)))) % 0.08/0.40 (define @t121 () (@quantifiers_skolemize @t120 0)) % 0.08/0.40 (define @t122 () (not (forall @t18 (not @t17)))) % 0.08/0.40 (define @t123 () (forall @t18 (not (tptp.class @t72 @t16 @t71)))) % 0.08/0.40 (define @t124 () (not @t123)) % 0.08/0.40 (define @t125 () (or @t95 @t124)) % 0.08/0.40 (define @t126 () (@quantifiers_skolemize @t123 0)) % 0.08/0.40 (define @t127 () (tptp.class @t72 @t126 @t71)) % 0.08/0.40 (define @t128 () (not @t127)) % 0.08/0.40 (define @t129 () (not @t128)) % 0.08/0.40 (define @t130 () (not @t26)) % 0.08/0.40 (define @t131 () (not @t28)) % 0.08/0.40 (define @t132 () (or @t64 @t63 @t62 @t131 @t130)) % 0.08/0.40 (define @t133 () (not @t120)) % 0.08/0.40 (define @t134 () (or @t93 @t133)) % 0.08/0.40 (define @t135 () (tptp.class @t72 @t121 @t70)) % 0.08/0.40 (define @t136 () (not @t135)) % 0.08/0.40 (define @t137 () (not @t136)) % 0.08/0.40 (define @t138 () (= @t126 @t121)) % 0.08/0.40 (define @t139 () (or @t95 @t93 @t92 @t128 @t136 @t138)) % 0.08/0.40 (define @t140 () (tptp.class @t72 @t121 @t71)) % 0.08/0.40 (define @t141 () (tptp.greater @t76 @t74)) % 0.08/0.40 (define @t142 () (not @t140)) % 0.08/0.40 (define @t143 () (or @t93 @t95 @t136 @t142 @t88 @t90 @t103 @t109 @t84 @t141)) % 0.08/0.40 (define @t144 () (not @t111)) % 0.08/0.40 (define @t145 () (not @t141)) % 0.08/0.40 (define @t146 () (or @t145 @t144)) % 0.08/0.40 (define @t147 () (not @t146)) % 0.08/0.40 (define @t148 () (forall @t13 (or (not @t12) (not @t14)))) % 0.08/0.40 (assume @p1 @t10) % 0.08/0.40 (assume @p2 (forall @t13 (not (and @t12 (= @t3 @t11))))) % 0.08/0.40 (assume @p3 @t15) % 0.08/0.40 (assume @p4 @t21) % 0.08/0.40 (assume @p5 @t33) % 0.08/0.40 (assume @p6 @t48) % 0.08/0.40 (assume @p7 @t52) % 0.08/0.40 (assume @p8 @t58) % 0.08/0.40 (assume @p9 true) % 0.08/0.40 (step @p10 :rule bool-and-de-morgan :args (@t12 @t14 true)) % 0.08/0.40 (step @p11 :rule cong :premises (@p10) :args (@t15)) % 0.08/0.40 (step @p12 :rule eq_resolve :premises (@p3 @p11)) % 0.08/0.40 (step @p13 :rule aci_norm :args ((= (or @t65 @t36) (or @t64 @t63 @t62 @t61 @t60 @t59 @t36)))) % 0.08/0.40 (step @p14 :rule refl :args (@t36)) % 0.08/0.40 (step @p15 :rule aci_norm :args ((= (or @t64 (or @t63 (or @t62 (or @t61 (or @t60 @t59))))) @t65))) % 0.08/0.40 (step @p16 :rule bool-and-de-morgan :args (@t50 @t49 true)) % 0.08/0.40 (step @p17 :rule refl :args (@t61)) % 0.08/0.40 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t61 (not (and @t50 @t49))))) % 0.08/0.40 (step @p19 :rule bool-and-de-morgan :args (@t41 @t50 (and @t49))) % 0.08/0.40 (step @p20 :rule trans :premises (@p19 @p18)) % 0.08/0.40 (step @p21 :rule refl :args (@t62)) % 0.08/0.40 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t62 (not (and @t41 @t50 @t49))))) % 0.08/0.40 (step @p23 :rule bool-and-de-morgan :args (@t29 @t41 (and @t50 @t49))) % 0.08/0.40 (step @p24 :rule trans :premises (@p23 @p22)) % 0.08/0.40 (step @p25 :rule refl :args (@t63)) % 0.08/0.40 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t63 (not (and @t29 @t41 @t50 @t49))))) % 0.08/0.40 (step @p27 :rule bool-and-de-morgan :args (@t30 @t29 (and @t41 @t50 @t49))) % 0.08/0.40 (step @p28 :rule trans :premises (@p27 @p26)) % 0.08/0.40 (step @p29 :rule refl :args (@t64)) % 0.08/0.40 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t64 (not (and @t30 @t29 @t41 @t50 @t49))))) % 0.08/0.40 (step @p31 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t41 @t50 @t49))) % 0.08/0.40 (step @p32 :rule trans :premises (@p31 @p30)) % 0.08/0.40 (step @p33 :rule trans :premises (@p32 @p15)) % 0.08/0.40 (step @p34 :rule nary_cong :premises (@p33 @p14) :args ((or (not @t51) @t36))) % 0.08/0.40 (step @p35 :rule trans :premises (@p34 @p13)) % 0.08/0.40 (step @p36 :rule bool-impl-elim :args (@t51 @t36)) % 0.08/0.40 (step @p37 :rule trans :premises (@p36 @p35)) % 0.08/0.40 (step @p38 :rule cong :premises (@p37) :args (@t52)) % 0.08/0.40 (step @p39 :rule eq_resolve :premises (@p7 @p38)) % 0.08/0.40 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t72 @t76 @t74 @t71 @t70))) % 0.08/0.40 (step @p41 :rule bool-impl-elim :args (@t7 @t77)) % 0.08/0.40 (step @p42 :rule cong :premises (@p41) :args ((forall @t9 (=> @t7 @t77)))) % 0.08/0.40 (step @p43 :rule exists-elim :args ((= @t6 @t77))) % 0.08/0.40 (step @p44 :rule refl :args (@t7)) % 0.08/0.40 (step @p45 :rule cong :premises (@p44 @p43) :args (@t8)) % 0.08/0.40 (step @p46 :rule cong :premises (@p45) :args (@t10)) % 0.08/0.40 (step @p47 :rule trans :premises (@p46 @p42)) % 0.08/0.40 (step @p48 :rule eq_resolve :premises (@p1 @p47)) % 0.08/0.40 (step @p49 :rule instantiate :premises (@p48) :args (@t78)) % 0.08/0.40 (step @p50 :rule aci_norm :args ((= (or @t79 @t53) @t68))) % 0.08/0.40 (step @p51 :rule refl :args (@t53)) % 0.08/0.40 (step @p52 :rule aci_norm :args ((= (or @t64 (or @t63 (or @t62 (or @t67 (or @t66 @t59))))) @t79))) % 0.08/0.40 (step @p53 :rule bool-and-de-morgan :args (@t54 @t49 true)) % 0.08/0.40 (step @p54 :rule refl :args (@t67)) % 0.08/0.40 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t67 (not (and @t54 @t49))))) % 0.08/0.40 (step @p56 :rule bool-and-de-morgan :args (@t43 @t54 (and @t49))) % 0.08/0.40 (step @p57 :rule trans :premises (@p56 @p55)) % 0.08/0.40 (step @p58 :rule nary_cong :premises (@p21 @p57) :args ((or @t62 (not (and @t43 @t54 @t49))))) % 0.08/0.40 (step @p59 :rule bool-and-de-morgan :args (@t29 @t43 (and @t54 @t49))) % 0.08/0.40 (step @p60 :rule trans :premises (@p59 @p58)) % 0.08/0.40 (step @p61 :rule nary_cong :premises (@p25 @p60) :args ((or @t63 (not (and @t29 @t43 @t54 @t49))))) % 0.08/0.40 (step @p62 :rule bool-and-de-morgan :args (@t30 @t29 (and @t43 @t54 @t49))) % 0.08/0.40 (step @p63 :rule trans :premises (@p62 @p61)) % 0.08/0.40 (step @p64 :rule nary_cong :premises (@p29 @p63) :args ((or @t64 (not (and @t30 @t29 @t43 @t54 @t49))))) % 0.08/0.40 (step @p65 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t43 @t54 @t49))) % 0.08/0.40 (step @p66 :rule trans :premises (@p65 @p64)) % 0.08/0.40 (step @p67 :rule trans :premises (@p66 @p52)) % 0.08/0.40 (step @p68 :rule nary_cong :premises (@p67 @p51) :args ((or (not @t55) @t53))) % 0.08/0.40 (step @p69 :rule trans :premises (@p68 @p50)) % 0.08/0.40 (step @p70 :rule bool-impl-elim :args (@t55 @t53)) % 0.08/0.40 (step @p71 :rule trans :premises (@p70 @p69)) % 0.08/0.40 (step @p72 :rule cong :premises (@p71) :args (@t57)) % 0.08/0.40 (step @p73 :rule cong :premises (@p72) :args (@t58)) % 0.08/0.40 (step @p74 :rule eq_resolve :premises (@p8 @p73)) % 0.08/0.40 (step @p75 :rule skolemize :premises (@p74)) % 0.08/0.40 (step @p76 :rule bool-double-not-elim :args (@t80)) % 0.08/0.40 (step @p77 :rule refl :args (@t96)) % 0.08/0.40 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t96 (not @t93)))) % 0.08/0.40 (step @p79 :rule cnf_or_neg :args (@t96 1)) % 0.08/0.40 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.08/0.40 (step @p81 :rule reordering :premises (@p80) :args ((or @t80 @t96))) % 0.08/0.40 (step @p82 :rule chain_m_resolution :premises (@p81 @p75) :args (@t80 @t97 @t98)) % 0.08/0.40 (step @p83 :rule cnf_or_pos :args (@t100)) % 0.08/0.40 (step @p84 :rule reordering :premises (@p83) :args ((or @t93 @t99 (not @t100)))) % 0.08/0.40 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p49) :args (@t99 @t101 (@list @t80 @t100))) % 0.08/0.40 (step @p86 :rule refl :args (@t102)) % 0.08/0.40 (step @p87 :rule bool-double-not-elim :args (@t73)) % 0.08/0.40 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t99) @t102))) % 0.08/0.40 (step @p89 :rule bool-double-not-elim :args (@t102)) % 0.08/0.40 (step @p90 :rule refl :args (@t99)) % 0.08/0.40 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t99 @t104))) % 0.08/0.40 (assume-push @p279 @t99) % 0.08/0.40 (step @p93 :rule skolemize :premises (@p85)) % 0.08/0.40 (step-pop @p280 :rule scope :premises (@p93)) % 0.08/0.40 (step @p94 :rule process_scope :premises (@p280) :args (@t104)) % 0.08/0.40 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.08/0.40 (step @p97 :rule implies_elim :premises (@p96)) % 0.08/0.40 (step @p98 :rule eq_resolve :premises (@p97 @p88)) % 0.08/0.40 (step @p99 :rule chain_m_resolution :premises (@p98 @p85) :args (@t102 @t97 (@list @t73))) % 0.08/0.40 (step @p100 :rule instantiate :premises (@p48) :args (@t105)) % 0.08/0.40 (step @p101 :rule bool-double-not-elim :args (@t94)) % 0.08/0.40 (step @p102 :rule nary_cong :premises (@p77 @p101) :args ((or @t96 (not @t95)))) % 0.08/0.40 (step @p103 :rule cnf_or_neg :args (@t96 0)) % 0.08/0.40 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.08/0.40 (step @p105 :rule reordering :premises (@p104) :args ((or @t94 @t96))) % 0.08/0.40 (step @p106 :rule chain_m_resolution :premises (@p105 @p75) :args (@t94 @t97 @t98)) % 0.08/0.40 (step @p107 :rule cnf_or_pos :args (@t107)) % 0.08/0.40 (step @p108 :rule reordering :premises (@p107) :args ((or @t95 @t106 (not @t107)))) % 0.08/0.40 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p100) :args (@t106 @t101 (@list @t94 @t107))) % 0.08/0.40 (step @p110 :rule refl :args (@t108)) % 0.08/0.40 (step @p111 :rule bool-double-not-elim :args (@t75)) % 0.08/0.40 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t106) @t108))) % 0.08/0.40 (step @p113 :rule bool-double-not-elim :args (@t108)) % 0.08/0.40 (step @p114 :rule refl :args (@t106)) % 0.08/0.40 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t106 @t110))) % 0.08/0.40 (assume-push @p281 @t106) % 0.08/0.40 (step @p117 :rule skolemize :premises (@p109)) % 0.08/0.40 (step-pop @p282 :rule scope :premises (@p117)) % 0.08/0.40 (step @p118 :rule process_scope :premises (@p282) :args (@t110)) % 0.08/0.40 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 0.08/0.40 (step @p121 :rule implies_elim :premises (@p120)) % 0.08/0.40 (step @p122 :rule eq_resolve :premises (@p121 @p112)) % 0.08/0.40 (step @p123 :rule chain_m_resolution :premises (@p122 @p109) :args (@t108 @t97 (@list @t75))) % 0.08/0.40 (step @p124 :rule bool-double-not-elim :args (@t85)) % 0.08/0.40 (step @p125 :rule nary_cong :premises (@p77 @p124) :args ((or @t96 (not @t86)))) % 0.08/0.40 (step @p126 :rule cnf_or_neg :args (@t96 5)) % 0.08/0.40 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.08/0.40 (step @p128 :rule reordering :premises (@p127) :args ((or @t85 @t96))) % 0.08/0.40 (step @p129 :rule chain_m_resolution :premises (@p128 @p75) :args (@t85 @t97 @t98)) % 0.08/0.40 (step @p130 :rule bool-double-not-elim :args (@t91)) % 0.08/0.40 (step @p131 :rule nary_cong :premises (@p77 @p130) :args ((or @t96 (not @t92)))) % 0.08/0.40 (step @p132 :rule cnf_or_neg :args (@t96 2)) % 0.08/0.40 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.08/0.40 (step @p134 :rule reordering :premises (@p133) :args ((or @t91 @t96))) % 0.08/0.40 (step @p135 :rule chain_m_resolution :premises (@p134 @p75) :args (@t91 @t97 @t98)) % 0.08/0.40 (step @p136 :rule cnf_or_pos :args (@t112)) % 0.08/0.40 (step @p137 :rule reordering :premises (@p136) :args ((or @t95 @t93 @t92 @t86 @t109 @t103 @t111 (not @t112)))) % 0.08/0.40 (step @p138 :rule chain_m_resolution :premises (@p137 @p106 @p82 @p135 @p129 @p123 @p99 @p40) :args (@t111 (@list false false false false false false false) (@list @t94 @t80 @t91 @t85 @t108 @t102 @t112))) % 0.08/0.40 (step @p139 :rule aci_norm :args ((= (or @t119 @t36) (or @t64 @t118 @t117 @t116 @t67 @t115 @t61 @t114 @t113 @t36)))) % 0.08/0.40 (step @p140 :rule aci_norm :args ((= (or @t64 (or @t118 (or @t117 (or @t116 (or @t67 (or @t115 (or @t61 (or @t114 @t113)))))))) @t119))) % 0.08/0.40 (step @p141 :rule bool-and-de-morgan :args (@t40 @t39 true)) % 0.08/0.40 (step @p142 :rule nary_cong :premises (@p17 @p141) :args ((or @t61 (not (and @t40 @t39))))) % 0.08/0.40 (step @p143 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39))) % 0.08/0.40 (step @p144 :rule trans :premises (@p143 @p142)) % 0.08/0.40 (step @p145 :rule refl :args (@t115)) % 0.08/0.40 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t115 (not (and @t41 @t40 @t39))))) % 0.08/0.40 (step @p147 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t39))) % 0.08/0.40 (step @p148 :rule trans :premises (@p147 @p146)) % 0.08/0.40 (step @p149 :rule nary_cong :premises (@p54 @p148) :args ((or @t67 (not (and @t42 @t41 @t40 @t39))))) % 0.08/0.40 (step @p150 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t40 @t39))) % 0.08/0.40 (step @p151 :rule trans :premises (@p150 @p149)) % 0.08/0.40 (step @p152 :rule refl :args (@t116)) % 0.08/0.40 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t116 (not (and @t43 @t42 @t41 @t40 @t39))))) % 0.08/0.40 (step @p154 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42 @t41 @t40 @t39))) % 0.08/0.40 (step @p155 :rule trans :premises (@p154 @p153)) % 0.08/0.40 (step @p156 :rule refl :args (@t117)) % 0.08/0.40 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t117 (not (and @t44 @t43 @t42 @t41 @t40 @t39))))) % 0.08/0.40 (step @p158 :rule bool-and-de-morgan :args (@t45 @t44 (and @t43 @t42 @t41 @t40 @t39))) % 0.08/0.40 (step @p159 :rule trans :premises (@p158 @p157)) % 0.08/0.40 (step @p160 :rule refl :args (@t118)) % 0.08/0.40 (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or @t118 (not (and @t45 @t44 @t43 @t42 @t41 @t40 @t39))))) % 0.08/0.40 (step @p162 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44 @t43 @t42 @t41 @t40 @t39))) % 0.08/0.40 (step @p163 :rule trans :premises (@p162 @p161)) % 0.08/0.40 (step @p164 :rule nary_cong :premises (@p29 @p163) :args ((or @t64 (not (and @t46 @t45 @t44 @t43 @t42 @t41 @t40 @t39))))) % 0.08/0.40 (step @p165 :rule bool-and-de-morgan :args (@t31 @t46 (and @t45 @t44 @t43 @t42 @t41 @t40 @t39))) % 0.08/0.40 (step @p166 :rule trans :premises (@p165 @p164)) % 0.08/0.40 (step @p167 :rule trans :premises (@p166 @p140)) % 0.08/0.40 (step @p168 :rule nary_cong :premises (@p167 @p14) :args ((or (not @t47) @t36))) % 0.08/0.40 (step @p169 :rule trans :premises (@p168 @p139)) % 0.08/0.40 (step @p170 :rule bool-impl-elim :args (@t47 @t36)) % 0.08/0.40 (step @p171 :rule trans :premises (@p170 @p169)) % 0.08/0.40 (step @p172 :rule cong :premises (@p171) :args (@t48)) % 0.08/0.40 (step @p173 :rule eq_resolve :premises (@p6 @p172)) % 0.08/0.40 (step @p174 :rule instantiate :premises (@p173) :args ((@list @t72 @t72 @t121 @t81 @t82 @t74 @t76 @t70 @t71))) % 0.08/0.40 (step @p175 :rule bool-impl-elim :args (@t7 @t122)) % 0.08/0.40 (step @p176 :rule cong :premises (@p175) :args ((forall @t9 (=> @t7 @t122)))) % 0.08/0.40 (step @p177 :rule exists-elim :args ((= @t19 @t122))) % 0.08/0.40 (step @p178 :rule cong :premises (@p44 @p177) :args (@t20)) % 0.08/0.40 (step @p179 :rule cong :premises (@p178) :args (@t21)) % 0.08/0.40 (step @p180 :rule trans :premises (@p179 @p176)) % 0.08/0.40 (step @p181 :rule eq_resolve :premises (@p4 @p180)) % 0.08/0.40 (step @p182 :rule instantiate :premises (@p181) :args (@t105)) % 0.08/0.40 (step @p183 :rule cnf_or_pos :args (@t125)) % 0.08/0.40 (step @p184 :rule reordering :premises (@p183) :args ((or @t95 @t124 (not @t125)))) % 0.08/0.40 (step @p185 :rule chain_m_resolution :premises (@p184 @p106 @p182) :args (@t124 @t101 (@list @t94 @t125))) % 0.08/0.40 (step @p186 :rule refl :args (@t127)) % 0.08/0.40 (step @p187 :rule bool-double-not-elim :args (@t123)) % 0.08/0.40 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or (not @t124) @t127))) % 0.08/0.40 (step @p189 :rule bool-double-not-elim :args (@t127)) % 0.08/0.40 (step @p190 :rule refl :args (@t124)) % 0.08/0.40 (step @p191 :rule cong :premises (@p190 @p189) :args ((=> @t124 @t129))) % 0.08/0.40 (assume-push @p283 @t124) % 0.08/0.40 (step @p193 :rule skolemize :premises (@p185)) % 0.08/0.40 (step-pop @p284 :rule scope :premises (@p193)) % 0.08/0.40 (step @p194 :rule process_scope :premises (@p284) :args (@t129)) % 0.08/0.40 (step @p196 :rule eq_resolve :premises (@p194 @p191)) % 0.08/0.40 (step @p197 :rule implies_elim :premises (@p196)) % 0.08/0.40 (step @p198 :rule eq_resolve :premises (@p197 @p188)) % 0.08/0.40 (step @p199 :rule chain_m_resolution :premises (@p198 @p185) :args (@t127 @t97 (@list @t123))) % 0.08/0.40 (step @p200 :rule true_intro :premises (@p199)) % 0.08/0.40 (step @p201 :rule refl :args (@t71)) % 0.08/0.40 (step @p202 :rule aci_norm :args ((= (or @t132 @t24) (or @t64 @t63 @t62 @t131 @t130 @t24)))) % 0.08/0.40 (step @p203 :rule refl :args (@t24)) % 0.08/0.40 (step @p204 :rule aci_norm :args ((= (or @t64 (or @t63 (or @t62 (or @t131 @t130)))) @t132))) % 0.08/0.40 (step @p205 :rule bool-and-de-morgan :args (@t28 @t26 true)) % 0.08/0.40 (step @p206 :rule nary_cong :premises (@p21 @p205) :args ((or @t62 (not (and @t28 @t26))))) % 0.08/0.40 (step @p207 :rule bool-and-de-morgan :args (@t29 @t28 (and @t26))) % 0.08/0.40 (step @p208 :rule trans :premises (@p207 @p206)) % 0.08/0.40 (step @p209 :rule nary_cong :premises (@p25 @p208) :args ((or @t63 (not (and @t29 @t28 @t26))))) % 0.08/0.40 (step @p210 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t26))) % 0.08/0.40 (step @p211 :rule trans :premises (@p210 @p209)) % 0.08/0.40 (step @p212 :rule nary_cong :premises (@p29 @p211) :args ((or @t64 (not (and @t30 @t29 @t28 @t26))))) % 0.08/0.40 (step @p213 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t28 @t26))) % 0.08/0.40 (step @p214 :rule trans :premises (@p213 @p212)) % 0.08/0.40 (step @p215 :rule trans :premises (@p214 @p204)) % 0.08/0.40 (step @p216 :rule nary_cong :premises (@p215 @p203) :args ((or (not @t32) @t24))) % 0.08/0.40 (step @p217 :rule trans :premises (@p216 @p202)) % 0.08/0.40 (step @p218 :rule bool-impl-elim :args (@t32 @t24)) % 0.08/0.40 (step @p219 :rule trans :premises (@p218 @p217)) % 0.08/0.40 (step @p220 :rule cong :premises (@p219) :args (@t33)) % 0.08/0.40 (step @p221 :rule eq_resolve :premises (@p5 @p220)) % 0.08/0.40 (step @p222 :rule instantiate :premises (@p221) :args ((@list @t72 @t71 @t70 @t126 @t121))) % 0.08/0.40 (step @p223 :rule instantiate :premises (@p181) :args (@t78)) % 0.08/0.40 (step @p224 :rule cnf_or_pos :args (@t134)) % 0.08/0.40 (step @p225 :rule reordering :premises (@p224) :args ((or @t93 @t133 (not @t134)))) % 0.08/0.40 (step @p226 :rule chain_m_resolution :premises (@p225 @p82 @p223) :args (@t133 @t101 (@list @t80 @t134))) % 0.08/0.40 (step @p227 :rule refl :args (@t135)) % 0.08/0.40 (step @p228 :rule bool-double-not-elim :args (@t120)) % 0.08/0.40 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or (not @t133) @t135))) % 0.08/0.40 (step @p230 :rule bool-double-not-elim :args (@t135)) % 0.08/0.40 (step @p231 :rule refl :args (@t133)) % 0.08/0.40 (step @p232 :rule cong :premises (@p231 @p230) :args ((=> @t133 @t137))) % 0.08/0.40 (assume-push @p285 @t133) % 0.08/0.40 (step @p234 :rule skolemize :premises (@p226)) % 0.08/0.40 (step-pop @p286 :rule scope :premises (@p234)) % 0.08/0.40 (step @p235 :rule process_scope :premises (@p286) :args (@t137)) % 0.08/0.40 (step @p237 :rule eq_resolve :premises (@p235 @p232)) % 0.08/0.40 (step @p238 :rule implies_elim :premises (@p237)) % 0.08/0.40 (step @p239 :rule eq_resolve :premises (@p238 @p229)) % 0.08/0.40 (step @p240 :rule chain_m_resolution :premises (@p239 @p226) :args (@t135 @t97 (@list @t120))) % 0.08/0.40 (step @p241 :rule cnf_or_pos :args (@t139)) % 0.08/0.40 (step @p242 :rule reordering :premises (@p241) :args ((or @t95 @t93 @t92 @t128 @t136 @t138 (not @t139)))) % 0.08/0.40 (step @p243 :rule chain_m_resolution :premises (@p242 @p106 @p82 @p135 @p199 @p240 @p222) :args (@t138 (@list false false false false false false) (@list @t94 @t80 @t91 @t127 @t135 @t139))) % 0.08/0.40 (step @p244 :rule symm :premises (@p243)) % 0.08/0.40 (step @p245 :rule refl :args (@t72)) % 0.08/0.40 (step @p246 :rule cong :premises (@p245 @p244 @p201) :args (@t140)) % 0.08/0.40 (step @p247 :rule trans :premises (@p246 @p200)) % 0.08/0.40 (step @p248 :rule true_elim :premises (@p247)) % 0.08/0.40 (step @p249 :rule bool-double-not-elim :args (@t83)) % 0.08/0.40 (step @p250 :rule nary_cong :premises (@p77 @p249) :args ((or @t96 (not @t84)))) % 0.08/0.40 (step @p251 :rule cnf_or_neg :args (@t96 6)) % 0.08/0.40 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 0.08/0.40 (step @p253 :rule reordering :premises (@p252) :args ((or @t83 @t96))) % 0.08/0.40 (step @p254 :rule chain_m_resolution :premises (@p253 @p75) :args (@t83 @t97 @t98)) % 0.08/0.40 (step @p255 :rule bool-double-not-elim :args (@t87)) % 0.08/0.40 (step @p256 :rule nary_cong :premises (@p77 @p255) :args ((or @t96 (not @t88)))) % 0.08/0.40 (step @p257 :rule cnf_or_neg :args (@t96 4)) % 0.08/0.40 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 0.08/0.40 (step @p259 :rule reordering :premises (@p258) :args ((or @t87 @t96))) % 0.08/0.40 (step @p260 :rule chain_m_resolution :premises (@p259 @p75) :args (@t87 @t97 @t98)) % 0.08/0.40 (step @p261 :rule bool-double-not-elim :args (@t89)) % 0.08/0.40 (step @p262 :rule nary_cong :premises (@p77 @p261) :args ((or @t96 (not @t90)))) % 0.08/0.40 (step @p263 :rule cnf_or_neg :args (@t96 3)) % 0.08/0.40 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 0.08/0.40 (step @p265 :rule reordering :premises (@p264) :args ((or @t89 @t96))) % 0.08/0.40 (step @p266 :rule chain_m_resolution :premises (@p265 @p75) :args (@t89 @t97 @t98)) % 0.08/0.40 (step @p267 :rule cnf_or_pos :args (@t143)) % 0.08/0.40 (step @p268 :rule reordering :premises (@p267) :args ((or @t95 @t93 @t90 @t88 @t84 @t109 @t103 @t136 @t142 @t141 (not @t143)))) % 0.08/0.40 (step @p269 :rule chain_m_resolution :premises (@p268 @p106 @p82 @p266 @p260 @p254 @p123 @p99 @p240 @p248 @p174) :args (@t141 (@list false false false false false false false false false false) (@list @t94 @t80 @t89 @t87 @t83 @t108 @t102 @t135 @t140 @t143))) % 0.08/0.40 (step @p270 :rule cnf_or_pos :args (@t146)) % 0.08/0.40 (step @p271 :rule reordering :premises (@p270) :args ((or @t145 @t144 @t147))) % 0.08/0.40 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p138) :args (@t147 @t101 (@list @t141 @t111))) % 0.08/0.40 (assume-push @p287 @t148) % 0.08/0.40 (step @p274 :rule instantiate :premises (@p12) :args ((@list @t76 @t74))) % 0.08/0.40 (step-pop @p288 :rule scope :premises (@p274)) % 0.08/0.40 (step @p275 :rule process_scope :premises (@p288) :args (@t146)) % 0.08/0.40 (step @p277 :rule implies_elim :premises (@p275)) % 0.08/0.40 (step @p278 false :rule chain_m_resolution :premises (@p277 @p272 @p12) :args (false (@list true false) (@list @t146 @t148))) % 0.08/0.40 ) % 0.08/0.40 % SZS output end Proof % 0.08/0.40 % cvc5 exiting %------------------------------------------------------------------------------