%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT012+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 : n009.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 0.20s 0.53s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT012+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n009.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 11:50:37 UTC 2026 % 0.09/0.36 % CPUTime : % 0.13/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/0.53 % SZS status Theorem % 0.20/0.53 % SZS output start Proof % 0.20/0.53 ( % 0.20/0.53 (declare-sort $$unsorted 0) % 0.20/0.53 (declare-const tptp.complexity (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.class (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.20/0.53 (declare-const tptp.inertia (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.53 (define @t1 () (@var "T" $$unsorted)) % 0.20/0.53 (define @t2 () (@var "I" $$unsorted)) % 0.20/0.53 (define @t3 () (@var "X" $$unsorted)) % 0.20/0.53 (define @t4 () (tptp.inertia @t3 @t2 @t1)) % 0.20/0.53 (define @t5 () (@list @t2)) % 0.20/0.53 (define @t6 () (exists @t5 @t4)) % 0.20/0.53 (define @t7 () (tptp.organization @t3 @t1)) % 0.20/0.53 (define @t8 () (=> @t7 @t6)) % 0.20/0.53 (define @t9 () (@list @t3 @t1)) % 0.20/0.53 (define @t10 () (forall @t9 @t8)) % 0.20/0.53 (define @t11 () (@var "Y" $$unsorted)) % 0.20/0.53 (define @t12 () (tptp.greater @t3 @t11)) % 0.20/0.53 (define @t13 () (@list @t3 @t11)) % 0.20/0.53 (define @t14 () (tptp.greater @t11 @t3)) % 0.20/0.53 (define @t15 () (forall @t13 (not (and @t12 @t14)))) % 0.20/0.53 (define @t16 () (@var "C" $$unsorted)) % 0.20/0.53 (define @t17 () (tptp.class @t3 @t16 @t1)) % 0.20/0.53 (define @t18 () (@list @t16)) % 0.20/0.53 (define @t19 () (exists @t18 @t17)) % 0.20/0.53 (define @t20 () (=> @t7 @t19)) % 0.20/0.53 (define @t21 () (forall @t9 @t20)) % 0.20/0.53 (define @t22 () (@var "C2" $$unsorted)) % 0.20/0.53 (define @t23 () (@var "C1" $$unsorted)) % 0.20/0.53 (define @t24 () (= @t23 @t22)) % 0.20/0.53 (define @t25 () (@var "T2" $$unsorted)) % 0.20/0.53 (define @t26 () (tptp.class @t3 @t22 @t25)) % 0.20/0.53 (define @t27 () (@var "T1" $$unsorted)) % 0.20/0.53 (define @t28 () (tptp.class @t3 @t23 @t27)) % 0.20/0.53 (define @t29 () (tptp.reorganization_free @t3 @t27 @t25)) % 0.20/0.53 (define @t30 () (tptp.organization @t3 @t25)) % 0.20/0.53 (define @t31 () (tptp.organization @t3 @t27)) % 0.20/0.53 (define @t32 () (and @t31 @t30 @t29 @t28 @t26)) % 0.20/0.53 (define @t33 () (forall (@list @t3 @t27 @t25 @t23 @t22) (=> @t32 @t24))) % 0.20/0.53 (define @t34 () (@var "I1" $$unsorted)) % 0.20/0.53 (define @t35 () (@var "I2" $$unsorted)) % 0.20/0.53 (define @t36 () (tptp.greater @t35 @t34)) % 0.20/0.53 (define @t37 () (tptp.greater @t22 @t23)) % 0.20/0.53 (define @t38 () (tptp.inertia @t11 @t35 @t25)) % 0.20/0.53 (define @t39 () (tptp.inertia @t3 @t34 @t27)) % 0.20/0.53 (define @t40 () (tptp.complexity @t11 @t22 @t25)) % 0.20/0.53 (define @t41 () (tptp.complexity @t3 @t23 @t27)) % 0.20/0.53 (define @t42 () (tptp.class @t11 @t16 @t25)) % 0.20/0.53 (define @t43 () (tptp.class @t3 @t16 @t27)) % 0.20/0.53 (define @t44 () (tptp.organization @t11 @t25)) % 0.20/0.53 (define @t45 () (and @t31 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t37)) % 0.20/0.53 (define @t46 () (forall (@list @t3 @t11 @t16 @t23 @t22 @t34 @t35 @t27 @t25) (=> @t45 @t36))) % 0.20/0.53 (define @t47 () (tptp.greater @t25 @t27)) % 0.20/0.53 (define @t48 () (tptp.inertia @t3 @t35 @t25)) % 0.20/0.53 (define @t49 () (and @t31 @t30 @t29 @t39 @t48 @t47)) % 0.20/0.53 (define @t50 () (forall (@list @t3 @t34 @t35 @t27 @t25) (=> @t49 @t36))) % 0.20/0.53 (define @t51 () (not (tptp.greater @t23 @t22))) % 0.20/0.53 (define @t52 () (tptp.complexity @t3 @t22 @t25)) % 0.20/0.53 (define @t53 () (and @t31 @t30 @t29 @t41 @t52 @t47)) % 0.20/0.53 (define @t54 () (@list @t3 @t23 @t22 @t27 @t25)) % 0.20/0.53 (define @t55 () (forall @t54 (=> @t53 @t51))) % 0.20/0.53 (define @t56 () (not @t55)) % 0.20/0.53 (define @t57 () (not @t47)) % 0.20/0.53 (define @t58 () (not @t48)) % 0.20/0.53 (define @t59 () (not @t39)) % 0.20/0.53 (define @t60 () (not @t29)) % 0.20/0.53 (define @t61 () (not @t30)) % 0.20/0.53 (define @t62 () (not @t31)) % 0.20/0.53 (define @t63 () (or @t62 @t61 @t60 @t59 @t58 @t57)) % 0.20/0.53 (define @t64 () (not @t52)) % 0.20/0.53 (define @t65 () (not @t41)) % 0.20/0.53 (define @t66 () (or @t62 @t61 @t60 @t65 @t64 @t57 @t51)) % 0.20/0.53 (define @t67 () (forall @t54 @t66)) % 0.20/0.53 (define @t68 () (@quantifiers_skolemize @t67 4)) % 0.20/0.53 (define @t69 () (@quantifiers_skolemize @t67 3)) % 0.20/0.53 (define @t70 () (@quantifiers_skolemize @t67 0)) % 0.20/0.53 (define @t71 () (forall @t5 (not (tptp.inertia @t70 @t2 @t68)))) % 0.20/0.53 (define @t72 () (@quantifiers_skolemize @t71 0)) % 0.20/0.53 (define @t73 () (forall @t5 (not (tptp.inertia @t70 @t2 @t69)))) % 0.20/0.53 (define @t74 () (@quantifiers_skolemize @t73 0)) % 0.20/0.53 (define @t75 () (not (forall @t5 (not @t4)))) % 0.20/0.53 (define @t76 () (@list @t70 @t68)) % 0.20/0.53 (define @t77 () (or @t62 @t61 @t60 @t65 @t64 @t57)) % 0.20/0.53 (define @t78 () (tptp.organization @t70 @t68)) % 0.20/0.53 (define @t79 () (@quantifiers_skolemize @t67 2)) % 0.20/0.53 (define @t80 () (@quantifiers_skolemize @t67 1)) % 0.20/0.53 (define @t81 () (tptp.greater @t80 @t79)) % 0.20/0.53 (define @t82 () (not @t81)) % 0.20/0.53 (define @t83 () (tptp.greater @t68 @t69)) % 0.20/0.53 (define @t84 () (not @t83)) % 0.20/0.53 (define @t85 () (tptp.complexity @t70 @t79 @t68)) % 0.20/0.53 (define @t86 () (not @t85)) % 0.20/0.53 (define @t87 () (tptp.complexity @t70 @t80 @t69)) % 0.20/0.53 (define @t88 () (not @t87)) % 0.20/0.53 (define @t89 () (tptp.reorganization_free @t70 @t69 @t68)) % 0.20/0.53 (define @t90 () (not @t89)) % 0.20/0.53 (define @t91 () (not @t78)) % 0.20/0.53 (define @t92 () (tptp.organization @t70 @t69)) % 0.20/0.53 (define @t93 () (not @t92)) % 0.20/0.53 (define @t94 () (or @t93 @t91 @t90 @t88 @t86 @t84 @t82)) % 0.20/0.53 (define @t95 () (@list true)) % 0.20/0.53 (define @t96 () (@list @t94)) % 0.20/0.53 (define @t97 () (not @t71)) % 0.20/0.53 (define @t98 () (or @t91 @t97)) % 0.20/0.53 (define @t99 () (@list false false)) % 0.20/0.53 (define @t100 () (tptp.inertia @t70 @t72 @t68)) % 0.20/0.53 (define @t101 () (not @t100)) % 0.20/0.53 (define @t102 () (not @t101)) % 0.20/0.53 (define @t103 () (@list @t70 @t69)) % 0.20/0.53 (define @t104 () (not @t73)) % 0.20/0.53 (define @t105 () (or @t93 @t104)) % 0.20/0.53 (define @t106 () (tptp.inertia @t70 @t74 @t69)) % 0.20/0.53 (define @t107 () (not @t106)) % 0.20/0.53 (define @t108 () (not @t107)) % 0.20/0.53 (define @t109 () (tptp.greater @t72 @t74)) % 0.20/0.53 (define @t110 () (or @t93 @t91 @t90 @t107 @t101 @t84 @t109)) % 0.20/0.53 (define @t111 () (not @t37)) % 0.20/0.53 (define @t112 () (not @t38)) % 0.20/0.53 (define @t113 () (not @t40)) % 0.20/0.53 (define @t114 () (not @t42)) % 0.20/0.53 (define @t115 () (not @t43)) % 0.20/0.53 (define @t116 () (not @t44)) % 0.20/0.53 (define @t117 () (or @t62 @t116 @t115 @t114 @t65 @t113 @t59 @t112 @t111)) % 0.20/0.53 (define @t118 () (forall @t18 (not (tptp.class @t70 @t16 @t68)))) % 0.20/0.53 (define @t119 () (@quantifiers_skolemize @t118 0)) % 0.20/0.53 (define @t120 () (not (forall @t18 (not @t17)))) % 0.20/0.53 (define @t121 () (forall @t18 (not (tptp.class @t70 @t16 @t69)))) % 0.20/0.53 (define @t122 () (not @t121)) % 0.20/0.53 (define @t123 () (or @t93 @t122)) % 0.20/0.53 (define @t124 () (@quantifiers_skolemize @t121 0)) % 0.20/0.53 (define @t125 () (tptp.class @t70 @t124 @t69)) % 0.20/0.53 (define @t126 () (not @t125)) % 0.20/0.53 (define @t127 () (not @t126)) % 0.20/0.53 (define @t128 () (not @t26)) % 0.20/0.53 (define @t129 () (not @t28)) % 0.20/0.53 (define @t130 () (or @t62 @t61 @t60 @t129 @t128)) % 0.20/0.53 (define @t131 () (not @t118)) % 0.20/0.53 (define @t132 () (or @t91 @t131)) % 0.20/0.53 (define @t133 () (tptp.class @t70 @t119 @t68)) % 0.20/0.53 (define @t134 () (not @t133)) % 0.20/0.53 (define @t135 () (not @t134)) % 0.20/0.53 (define @t136 () (= @t124 @t119)) % 0.20/0.53 (define @t137 () (or @t93 @t91 @t90 @t126 @t134 @t136)) % 0.20/0.53 (define @t138 () (tptp.class @t70 @t119 @t69)) % 0.20/0.53 (define @t139 () (tptp.greater @t74 @t72)) % 0.20/0.53 (define @t140 () (not @t138)) % 0.20/0.53 (define @t141 () (or @t91 @t93 @t134 @t140 @t86 @t88 @t101 @t107 @t82 @t139)) % 0.20/0.53 (define @t142 () (not @t109)) % 0.20/0.53 (define @t143 () (not @t139)) % 0.20/0.53 (define @t144 () (or @t143 @t142)) % 0.20/0.53 (define @t145 () (not @t144)) % 0.20/0.53 (define @t146 () (forall @t13 (or (not @t12) (not @t14)))) % 0.20/0.53 (assume @p1 @t10) % 0.20/0.53 (assume @p2 (forall @t13 (not (and @t12 (= @t3 @t11))))) % 0.20/0.53 (assume @p3 @t15) % 0.20/0.53 (assume @p4 @t21) % 0.20/0.53 (assume @p5 @t33) % 0.20/0.53 (assume @p6 @t46) % 0.20/0.53 (assume @p7 @t50) % 0.20/0.53 (assume @p8 @t56) % 0.20/0.53 (assume @p9 true) % 0.20/0.53 (step @p10 :rule bool-and-de-morgan :args (@t12 @t14 true)) % 0.20/0.53 (step @p11 :rule cong :premises (@p10) :args (@t15)) % 0.20/0.53 (step @p12 :rule eq_resolve :premises (@p3 @p11)) % 0.20/0.53 (step @p13 :rule aci_norm :args ((= (or @t63 @t36) (or @t62 @t61 @t60 @t59 @t58 @t57 @t36)))) % 0.20/0.53 (step @p14 :rule refl :args (@t36)) % 0.20/0.53 (step @p15 :rule aci_norm :args ((= (or @t62 (or @t61 (or @t60 (or @t59 (or @t58 @t57))))) @t63))) % 0.20/0.53 (step @p16 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 0.20/0.53 (step @p17 :rule refl :args (@t59)) % 0.20/0.53 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t59 (not (and @t48 @t47))))) % 0.20/0.53 (step @p19 :rule bool-and-de-morgan :args (@t39 @t48 (and @t47))) % 0.20/0.53 (step @p20 :rule trans :premises (@p19 @p18)) % 0.20/0.53 (step @p21 :rule refl :args (@t60)) % 0.20/0.53 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t60 (not (and @t39 @t48 @t47))))) % 0.20/0.53 (step @p23 :rule bool-and-de-morgan :args (@t29 @t39 (and @t48 @t47))) % 0.20/0.53 (step @p24 :rule trans :premises (@p23 @p22)) % 0.20/0.53 (step @p25 :rule refl :args (@t61)) % 0.20/0.53 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t61 (not (and @t29 @t39 @t48 @t47))))) % 0.20/0.53 (step @p27 :rule bool-and-de-morgan :args (@t30 @t29 (and @t39 @t48 @t47))) % 0.20/0.53 (step @p28 :rule trans :premises (@p27 @p26)) % 0.20/0.53 (step @p29 :rule refl :args (@t62)) % 0.20/0.53 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t62 (not (and @t30 @t29 @t39 @t48 @t47))))) % 0.20/0.53 (step @p31 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t39 @t48 @t47))) % 0.20/0.53 (step @p32 :rule trans :premises (@p31 @p30)) % 0.20/0.53 (step @p33 :rule trans :premises (@p32 @p15)) % 0.20/0.53 (step @p34 :rule nary_cong :premises (@p33 @p14) :args ((or (not @t49) @t36))) % 0.20/0.53 (step @p35 :rule trans :premises (@p34 @p13)) % 0.20/0.53 (step @p36 :rule bool-impl-elim :args (@t49 @t36)) % 0.20/0.53 (step @p37 :rule trans :premises (@p36 @p35)) % 0.20/0.53 (step @p38 :rule cong :premises (@p37) :args (@t50)) % 0.20/0.53 (step @p39 :rule eq_resolve :premises (@p7 @p38)) % 0.20/0.53 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t70 @t74 @t72 @t69 @t68))) % 0.20/0.53 (step @p41 :rule bool-impl-elim :args (@t7 @t75)) % 0.20/0.53 (step @p42 :rule cong :premises (@p41) :args ((forall @t9 (=> @t7 @t75)))) % 0.20/0.53 (step @p43 :rule exists-elim :args ((= @t6 @t75))) % 0.20/0.53 (step @p44 :rule refl :args (@t7)) % 0.20/0.53 (step @p45 :rule cong :premises (@p44 @p43) :args (@t8)) % 0.20/0.53 (step @p46 :rule cong :premises (@p45) :args (@t10)) % 0.20/0.53 (step @p47 :rule trans :premises (@p46 @p42)) % 0.20/0.53 (step @p48 :rule eq_resolve :premises (@p1 @p47)) % 0.20/0.53 (step @p49 :rule instantiate :premises (@p48) :args (@t76)) % 0.20/0.53 (step @p50 :rule aci_norm :args ((= (or @t77 @t51) @t66))) % 0.20/0.53 (step @p51 :rule refl :args (@t51)) % 0.20/0.53 (step @p52 :rule aci_norm :args ((= (or @t62 (or @t61 (or @t60 (or @t65 (or @t64 @t57))))) @t77))) % 0.20/0.53 (step @p53 :rule bool-and-de-morgan :args (@t52 @t47 true)) % 0.20/0.53 (step @p54 :rule refl :args (@t65)) % 0.20/0.53 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t65 (not (and @t52 @t47))))) % 0.20/0.53 (step @p56 :rule bool-and-de-morgan :args (@t41 @t52 (and @t47))) % 0.20/0.53 (step @p57 :rule trans :premises (@p56 @p55)) % 0.20/0.53 (step @p58 :rule nary_cong :premises (@p21 @p57) :args ((or @t60 (not (and @t41 @t52 @t47))))) % 0.20/0.53 (step @p59 :rule bool-and-de-morgan :args (@t29 @t41 (and @t52 @t47))) % 0.20/0.53 (step @p60 :rule trans :premises (@p59 @p58)) % 0.20/0.53 (step @p61 :rule nary_cong :premises (@p25 @p60) :args ((or @t61 (not (and @t29 @t41 @t52 @t47))))) % 0.20/0.53 (step @p62 :rule bool-and-de-morgan :args (@t30 @t29 (and @t41 @t52 @t47))) % 0.20/0.53 (step @p63 :rule trans :premises (@p62 @p61)) % 0.20/0.53 (step @p64 :rule nary_cong :premises (@p29 @p63) :args ((or @t62 (not (and @t30 @t29 @t41 @t52 @t47))))) % 0.20/0.53 (step @p65 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t41 @t52 @t47))) % 0.20/0.53 (step @p66 :rule trans :premises (@p65 @p64)) % 0.20/0.53 (step @p67 :rule trans :premises (@p66 @p52)) % 0.20/0.53 (step @p68 :rule nary_cong :premises (@p67 @p51) :args ((or (not @t53) @t51))) % 0.20/0.53 (step @p69 :rule trans :premises (@p68 @p50)) % 0.20/0.53 (step @p70 :rule bool-impl-elim :args (@t53 @t51)) % 0.20/0.53 (step @p71 :rule trans :premises (@p70 @p69)) % 0.20/0.53 (step @p72 :rule cong :premises (@p71) :args (@t55)) % 0.20/0.53 (step @p73 :rule cong :premises (@p72) :args (@t56)) % 0.20/0.53 (step @p74 :rule eq_resolve :premises (@p8 @p73)) % 0.20/0.53 (step @p75 :rule skolemize :premises (@p74)) % 0.20/0.53 (step @p76 :rule bool-double-not-elim :args (@t78)) % 0.20/0.53 (step @p77 :rule refl :args (@t94)) % 0.20/0.53 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t94 (not @t91)))) % 0.20/0.53 (step @p79 :rule cnf_or_neg :args (@t94 1)) % 0.20/0.53 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.20/0.53 (step @p81 :rule reordering :premises (@p80) :args ((or @t78 @t94))) % 0.20/0.53 (step @p82 :rule chain_m_resolution :premises (@p81 @p75) :args (@t78 @t95 @t96)) % 0.20/0.53 (step @p83 :rule cnf_or_pos :args (@t98)) % 0.20/0.53 (step @p84 :rule reordering :premises (@p83) :args ((or @t91 @t97 (not @t98)))) % 0.20/0.53 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p49) :args (@t97 @t99 (@list @t78 @t98))) % 0.20/0.53 (step @p86 :rule refl :args (@t100)) % 0.20/0.53 (step @p87 :rule bool-double-not-elim :args (@t71)) % 0.20/0.53 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t97) @t100))) % 0.20/0.53 (step @p89 :rule bool-double-not-elim :args (@t100)) % 0.20/0.53 (step @p90 :rule refl :args (@t97)) % 0.20/0.53 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t97 @t102))) % 0.20/0.53 (assume-push @p279 @t97) % 0.20/0.53 (step @p93 :rule skolemize :premises (@p85)) % 0.20/0.53 (step-pop @p280 :rule scope :premises (@p93)) % 0.20/0.53 (step @p94 :rule process_scope :premises (@p280) :args (@t102)) % 0.20/0.53 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.20/0.53 (step @p97 :rule implies_elim :premises (@p96)) % 0.20/0.53 (step @p98 :rule eq_resolve :premises (@p97 @p88)) % 0.20/0.53 (step @p99 :rule chain_m_resolution :premises (@p98 @p85) :args (@t100 @t95 (@list @t71))) % 0.20/0.53 (step @p100 :rule instantiate :premises (@p48) :args 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:args (@t106)) % 0.20/0.53 (step @p114 :rule refl :args (@t104)) % 0.20/0.53 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t104 @t108))) % 0.20/0.53 (assume-push @p281 @t104) % 0.20/0.53 (step @p117 :rule skolemize :premises (@p109)) % 0.20/0.53 (step-pop @p282 :rule scope :premises (@p117)) % 0.20/0.53 (step @p118 :rule process_scope :premises (@p282) :args (@t108)) % 0.20/0.53 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 0.20/0.53 (step @p121 :rule implies_elim :premises (@p120)) % 0.20/0.53 (step @p122 :rule eq_resolve :premises (@p121 @p112)) % 0.20/0.53 (step @p123 :rule chain_m_resolution :premises (@p122 @p109) :args (@t106 @t95 (@list @t73))) % 0.20/0.53 (step @p124 :rule bool-double-not-elim :args (@t83)) % 0.20/0.53 (step @p125 :rule nary_cong :premises (@p77 @p124) :args ((or @t94 (not @t84)))) % 0.20/0.53 (step @p126 :rule cnf_or_neg :args (@t94 5)) % 0.20/0.53 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.20/0.53 (step @p128 :rule 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@t110))) % 0.20/0.53 (step @p139 :rule aci_norm :args ((= (or @t117 @t36) (or @t62 @t116 @t115 @t114 @t65 @t113 @t59 @t112 @t111 @t36)))) % 0.20/0.53 (step @p140 :rule aci_norm :args ((= (or @t62 (or @t116 (or @t115 (or @t114 (or @t65 (or @t113 (or @t59 (or @t112 @t111)))))))) @t117))) % 0.20/0.53 (step @p141 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.20/0.53 (step @p142 :rule nary_cong :premises (@p17 @p141) :args ((or @t59 (not (and @t38 @t37))))) % 0.20/0.53 (step @p143 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37))) % 0.20/0.53 (step @p144 :rule trans :premises (@p143 @p142)) % 0.20/0.53 (step @p145 :rule refl :args (@t113)) % 0.20/0.53 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t113 (not (and @t39 @t38 @t37))))) % 0.20/0.53 (step @p147 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38 @t37))) % 0.20/0.53 (step @p148 :rule trans :premises (@p147 @p146)) % 0.20/0.53 (step @p149 :rule nary_cong :premises (@p54 @p148) :args ((or @t65 (not (and 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@t39 @t38 @t37))))) % 0.20/0.53 (step @p162 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42 @t41 @t40 @t39 @t38 @t37))) % 0.20/0.53 (step @p163 :rule trans :premises (@p162 @p161)) % 0.20/0.53 (step @p164 :rule nary_cong :premises (@p29 @p163) :args ((or @t62 (not (and @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t37))))) % 0.20/0.53 (step @p165 :rule bool-and-de-morgan :args (@t31 @t44 (and @t43 @t42 @t41 @t40 @t39 @t38 @t37))) % 0.20/0.53 (step @p166 :rule trans :premises (@p165 @p164)) % 0.20/0.53 (step @p167 :rule trans :premises (@p166 @p140)) % 0.20/0.53 (step @p168 :rule nary_cong :premises (@p167 @p14) :args ((or (not @t45) @t36))) % 0.20/0.53 (step @p169 :rule trans :premises (@p168 @p139)) % 0.20/0.53 (step @p170 :rule bool-impl-elim :args (@t45 @t36)) % 0.20/0.53 (step @p171 :rule trans :premises (@p170 @p169)) % 0.20/0.53 (step @p172 :rule cong :premises (@p171) :args (@t46)) % 0.20/0.53 (step @p173 :rule eq_resolve :premises (@p6 @p172)) % 0.20/0.54 (step @p174 :rule instantiate :premises (@p173) :args ((@list @t70 @t70 @t119 @t79 @t80 @t72 @t74 @t68 @t69))) % 0.20/0.54 (step @p175 :rule bool-impl-elim :args (@t7 @t120)) % 0.20/0.54 (step @p176 :rule cong :premises (@p175) :args ((forall @t9 (=> @t7 @t120)))) % 0.20/0.54 (step @p177 :rule exists-elim :args ((= @t19 @t120))) % 0.20/0.54 (step @p178 :rule cong :premises (@p44 @p177) :args (@t20)) % 0.20/0.54 (step @p179 :rule cong :premises (@p178) :args (@t21)) % 0.20/0.54 (step @p180 :rule trans :premises (@p179 @p176)) % 0.20/0.54 (step @p181 :rule eq_resolve :premises (@p4 @p180)) % 0.20/0.54 (step @p182 :rule instantiate :premises (@p181) :args (@t103)) % 0.20/0.54 (step @p183 :rule cnf_or_pos :args (@t123)) % 0.20/0.54 (step @p184 :rule reordering :premises (@p183) :args ((or @t93 @t122 (not @t123)))) % 0.20/0.54 (step @p185 :rule chain_m_resolution :premises (@p184 @p106 @p182) :args (@t122 @t99 (@list @t92 @t123))) % 0.20/0.54 (step @p186 :rule refl :args (@t125)) % 0.20/0.54 (step @p187 :rule bool-double-not-elim :args (@t121)) % 0.20/0.54 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or (not @t122) @t125))) % 0.20/0.54 (step @p189 :rule bool-double-not-elim :args (@t125)) % 0.20/0.54 (step @p190 :rule refl :args (@t122)) % 0.20/0.54 (step @p191 :rule cong :premises (@p190 @p189) :args ((=> @t122 @t127))) % 0.20/0.54 (assume-push @p283 @t122) % 0.20/0.54 (step @p193 :rule skolemize :premises (@p185)) % 0.20/0.54 (step-pop @p284 :rule scope :premises (@p193)) % 0.20/0.54 (step @p194 :rule process_scope :premises (@p284) :args (@t127)) % 0.20/0.54 (step @p196 :rule eq_resolve :premises (@p194 @p191)) % 0.20/0.54 (step @p197 :rule implies_elim :premises (@p196)) % 0.20/0.54 (step @p198 :rule eq_resolve :premises (@p197 @p188)) % 0.20/0.54 (step @p199 :rule chain_m_resolution :premises (@p198 @p185) :args (@t125 @t95 (@list @t121))) % 0.20/0.54 (step @p200 :rule true_intro :premises (@p199)) % 0.20/0.54 (step @p201 :rule refl :args (@t69)) % 0.20/0.54 (step @p202 :rule aci_norm :args ((= (or @t130 @t24) (or @t62 @t61 @t60 @t129 @t128 @t24)))) % 0.20/0.54 (step @p203 :rule refl :args (@t24)) % 0.20/0.54 (step @p204 :rule aci_norm :args ((= (or @t62 (or @t61 (or @t60 (or @t129 @t128)))) @t130))) % 0.20/0.54 (step @p205 :rule bool-and-de-morgan :args (@t28 @t26 true)) % 0.20/0.54 (step @p206 :rule nary_cong :premises (@p21 @p205) :args ((or @t60 (not (and @t28 @t26))))) % 0.20/0.54 (step @p207 :rule bool-and-de-morgan :args (@t29 @t28 (and @t26))) % 0.20/0.54 (step @p208 :rule trans :premises (@p207 @p206)) % 0.20/0.54 (step @p209 :rule nary_cong :premises (@p25 @p208) :args ((or @t61 (not (and @t29 @t28 @t26))))) % 0.20/0.54 (step @p210 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t26))) % 0.20/0.54 (step @p211 :rule trans :premises (@p210 @p209)) % 0.20/0.54 (step @p212 :rule nary_cong :premises (@p29 @p211) :args ((or @t62 (not (and @t30 @t29 @t28 @t26))))) % 0.20/0.54 (step @p213 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t28 @t26))) % 0.20/0.54 (step @p214 :rule trans :premises (@p213 @p212)) % 0.20/0.54 (step @p215 :rule trans :premises (@p214 @p204)) % 0.20/0.54 (step @p216 :rule nary_cong :premises (@p215 @p203) :args ((or (not @t32) @t24))) % 0.20/0.54 (step @p217 :rule trans :premises (@p216 @p202)) % 0.20/0.54 (step @p218 :rule bool-impl-elim :args (@t32 @t24)) % 0.20/0.54 (step @p219 :rule trans :premises (@p218 @p217)) % 0.20/0.54 (step @p220 :rule cong :premises (@p219) :args (@t33)) % 0.20/0.54 (step @p221 :rule eq_resolve :premises (@p5 @p220)) % 0.20/0.54 (step @p222 :rule instantiate :premises (@p221) :args ((@list @t70 @t69 @t68 @t124 @t119))) % 0.20/0.54 (step @p223 :rule instantiate :premises (@p181) :args (@t76)) % 0.20/0.54 (step @p224 :rule cnf_or_pos :args (@t132)) % 0.20/0.54 (step @p225 :rule reordering :premises (@p224) :args ((or @t91 @t131 (not @t132)))) % 0.20/0.54 (step @p226 :rule chain_m_resolution :premises (@p225 @p82 @p223) :args (@t131 @t99 (@list @t78 @t132))) % 0.20/0.54 (step @p227 :rule refl :args (@t133)) % 0.20/0.54 (step @p228 :rule bool-double-not-elim :args (@t118)) % 0.20/0.54 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or (not @t131) @t133))) % 0.20/0.54 (step @p230 :rule bool-double-not-elim :args (@t133)) % 0.20/0.54 (step @p231 :rule refl :args (@t131)) % 0.20/0.54 (step @p232 :rule cong :premises (@p231 @p230) :args ((=> @t131 @t135))) % 0.20/0.54 (assume-push @p285 @t131) % 0.20/0.54 (step @p234 :rule skolemize :premises (@p226)) % 0.20/0.54 (step-pop @p286 :rule scope :premises (@p234)) % 0.20/0.54 (step @p235 :rule process_scope :premises (@p286) :args (@t135)) % 0.20/0.54 (step @p237 :rule eq_resolve :premises (@p235 @p232)) % 0.20/0.54 (step @p238 :rule implies_elim :premises (@p237)) % 0.20/0.54 (step @p239 :rule eq_resolve :premises (@p238 @p229)) % 0.20/0.54 (step @p240 :rule chain_m_resolution :premises (@p239 @p226) :args (@t133 @t95 (@list @t118))) % 0.20/0.54 (step @p241 :rule cnf_or_pos :args (@t137)) % 0.20/0.54 (step @p242 :rule reordering :premises (@p241) :args ((or @t93 @t91 @t90 @t126 @t134 @t136 (not @t137)))) % 0.20/0.54 (step @p243 :rule chain_m_resolution :premises (@p242 @p106 @p82 @p135 @p199 @p240 @p222) :args (@t136 (@list false false false false false false) (@list @t92 @t78 @t89 @t125 @t133 @t137))) % 0.20/0.54 (step @p244 :rule symm :premises (@p243)) % 0.20/0.54 (step @p245 :rule refl :args (@t70)) % 0.20/0.54 (step @p246 :rule cong :premises (@p245 @p244 @p201) :args (@t138)) % 0.20/0.54 (step @p247 :rule trans :premises (@p246 @p200)) % 0.20/0.54 (step @p248 :rule true_elim :premises (@p247)) % 0.20/0.54 (step @p249 :rule bool-double-not-elim :args (@t81)) % 0.20/0.54 (step @p250 :rule nary_cong :premises (@p77 @p249) :args ((or @t94 (not @t82)))) % 0.20/0.54 (step @p251 :rule cnf_or_neg :args (@t94 6)) % 0.20/0.54 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 0.20/0.54 (step @p253 :rule reordering :premises (@p252) :args ((or @t81 @t94))) % 0.20/0.54 (step @p254 :rule chain_m_resolution :premises (@p253 @p75) :args (@t81 @t95 @t96)) % 0.20/0.54 (step @p255 :rule bool-double-not-elim :args (@t85)) % 0.20/0.54 (step @p256 :rule nary_cong :premises (@p77 @p255) :args ((or @t94 (not @t86)))) % 0.20/0.54 (step @p257 :rule cnf_or_neg :args (@t94 4)) % 0.20/0.54 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 0.20/0.54 (step @p259 :rule reordering :premises (@p258) :args ((or @t85 @t94))) % 0.20/0.54 (step @p260 :rule chain_m_resolution :premises (@p259 @p75) :args (@t85 @t95 @t96)) % 0.20/0.54 (step @p261 :rule bool-double-not-elim :args (@t87)) % 0.20/0.54 (step @p262 :rule nary_cong :premises (@p77 @p261) :args ((or @t94 (not @t88)))) % 0.20/0.54 (step @p263 :rule cnf_or_neg :args (@t94 3)) % 0.20/0.54 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 0.20/0.54 (step @p265 :rule reordering :premises (@p264) :args ((or @t87 @t94))) % 0.20/0.54 (step @p266 :rule chain_m_resolution :premises (@p265 @p75) :args (@t87 @t95 @t96)) % 0.20/0.54 (step @p267 :rule cnf_or_pos :args (@t141)) % 0.20/0.54 (step @p268 :rule reordering :premises (@p267) :args ((or @t93 @t91 @t88 @t86 @t82 @t107 @t101 @t134 @t140 @t139 (not @t141)))) % 0.20/0.54 (step @p269 :rule chain_m_resolution :premises (@p268 @p106 @p82 @p266 @p260 @p254 @p123 @p99 @p240 @p248 @p174) :args (@t139 (@list false false false false false false false false false false) (@list @t92 @t78 @t87 @t85 @t81 @t106 @t100 @t133 @t138 @t141))) % 0.20/0.54 (step @p270 :rule cnf_or_pos :args (@t144)) % 0.20/0.54 (step @p271 :rule reordering :premises (@p270) :args ((or @t143 @t142 @t145))) % 0.20/0.54 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p138) :args (@t145 @t99 (@list @t139 @t109))) % 0.20/0.54 (assume-push @p287 @t146) % 0.20/0.54 (step @p274 :rule instantiate :premises (@p12) :args ((@list @t74 @t72))) % 0.20/0.54 (step-pop @p288 :rule scope :premises (@p274)) % 0.20/0.54 (step @p275 :rule process_scope :premises (@p288) :args (@t144)) % 0.20/0.54 (step @p277 :rule implies_elim :premises (@p275)) % 0.20/0.54 (step @p278 false :rule chain_m_resolution :premises (@p277 @p272 @p12) :args (false (@list true false) (@list @t144 @t146))) % 0.20/0.54 ) % 0.20/0.54 % SZS output end Proof % 0.20/0.54 % cvc5 exiting %------------------------------------------------------------------------------