%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT015+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 : 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 0.19s 0.52s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT015+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 % 0.10/0.37 % Computer : n020.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Mon Sep 7 11:54:58 UTC 2026 % 0.10/0.37 % CPUTime : % 0.14/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.52 % SZS status Theorem % 0.19/0.52 % SZS output start Proof % 0.19/0.52 ( % 0.19/0.52 (declare-sort $$unsorted 0) % 0.19/0.52 (declare-const tptp.reorganization (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.reorganization_type (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.class (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.complexity (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.19/0.52 (declare-const tptp.inertia (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.52 (define @t1 () (@var "T" $$unsorted)) % 0.19/0.52 (define @t2 () (@var "I" $$unsorted)) % 0.19/0.52 (define @t3 () (@var "X" $$unsorted)) % 0.19/0.52 (define @t4 () (tptp.inertia @t3 @t2 @t1)) % 0.19/0.52 (define @t5 () (@list @t2)) % 0.19/0.52 (define @t6 () (exists @t5 @t4)) % 0.19/0.52 (define @t7 () (tptp.organization @t3 @t1)) % 0.19/0.52 (define @t8 () (=> @t7 @t6)) % 0.19/0.52 (define @t9 () (@list @t3 @t1)) % 0.19/0.52 (define @t10 () (forall @t9 @t8)) % 0.19/0.52 (define @t11 () (@var "I1" $$unsorted)) % 0.19/0.52 (define @t12 () (@var "I2" $$unsorted)) % 0.19/0.52 (define @t13 () (tptp.greater @t12 @t11)) % 0.19/0.52 (define @t14 () (@var "C1" $$unsorted)) % 0.19/0.52 (define @t15 () (@var "C2" $$unsorted)) % 0.19/0.52 (define @t16 () (tptp.greater @t15 @t14)) % 0.19/0.52 (define @t17 () (@var "T2" $$unsorted)) % 0.19/0.52 (define @t18 () (@var "Y" $$unsorted)) % 0.19/0.52 (define @t19 () (tptp.inertia @t18 @t12 @t17)) % 0.19/0.52 (define @t20 () (@var "T1" $$unsorted)) % 0.19/0.52 (define @t21 () (tptp.inertia @t3 @t11 @t20)) % 0.19/0.52 (define @t22 () (tptp.complexity @t18 @t15 @t17)) % 0.19/0.52 (define @t23 () (tptp.complexity @t3 @t14 @t20)) % 0.19/0.52 (define @t24 () (@var "C" $$unsorted)) % 0.19/0.52 (define @t25 () (tptp.class @t18 @t24 @t17)) % 0.19/0.52 (define @t26 () (tptp.class @t3 @t24 @t20)) % 0.19/0.52 (define @t27 () (tptp.organization @t18 @t17)) % 0.19/0.52 (define @t28 () (tptp.organization @t3 @t20)) % 0.19/0.52 (define @t29 () (and @t28 @t27 @t26 @t25 @t23 @t22 @t21 @t19 @t16)) % 0.19/0.52 (define @t30 () (forall (@list @t3 @t18 @t24 @t14 @t15 @t11 @t12 @t20 @t17) (=> @t29 @t13))) % 0.19/0.52 (define @t31 () (@var "Tb" $$unsorted)) % 0.19/0.52 (define @t32 () (@var "Tc" $$unsorted)) % 0.19/0.52 (define @t33 () (tptp.greater @t32 @t31)) % 0.19/0.52 (define @t34 () (@var "Ta" $$unsorted)) % 0.19/0.52 (define @t35 () (tptp.inertia @t18 @t12 @t34)) % 0.19/0.52 (define @t36 () (tptp.inertia @t3 @t11 @t34)) % 0.19/0.52 (define @t37 () (@var "Rt" $$unsorted)) % 0.19/0.52 (define @t38 () (tptp.reorganization_type @t18 @t37 @t34)) % 0.19/0.52 (define @t39 () (tptp.reorganization_type @t3 @t37 @t34)) % 0.19/0.52 (define @t40 () (tptp.reorganization @t18 @t34 @t32)) % 0.19/0.52 (define @t41 () (tptp.reorganization @t3 @t34 @t31)) % 0.19/0.52 (define @t42 () (tptp.class @t18 @t24 @t34)) % 0.19/0.52 (define @t43 () (tptp.class @t3 @t24 @t34)) % 0.19/0.52 (define @t44 () (tptp.organization @t18 @t32)) % 0.19/0.52 (define @t45 () (tptp.organization @t18 @t34)) % 0.19/0.52 (define @t46 () (tptp.organization @t3 @t34)) % 0.19/0.52 (define @t47 () (and @t46 @t45 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t36 @t35 @t13)) % 0.19/0.52 (define @t48 () (forall (@list @t3 @t18 @t37 @t24 @t11 @t12 @t34 @t31 @t32) (=> @t47 @t33))) % 0.19/0.52 (define @t49 () (tptp.complexity @t18 @t15 @t34)) % 0.19/0.52 (define @t50 () (tptp.complexity @t3 @t14 @t34)) % 0.19/0.52 (define @t51 () (@var "Re" $$unsorted)) % 0.19/0.52 (define @t52 () (tptp.reorganization_type @t18 @t51 @t34)) % 0.19/0.52 (define @t53 () (tptp.reorganization_type @t3 @t51 @t34)) % 0.19/0.52 (define @t54 () (and @t46 @t45 @t44 @t43 @t42 @t41 @t40 @t53 @t52 @t50 @t49 @t16)) % 0.19/0.52 (define @t55 () (@list @t3 @t18 @t51 @t24 @t14 @t15 @t34 @t31 @t32)) % 0.19/0.52 (define @t56 () (forall @t55 (=> @t54 @t33))) % 0.19/0.52 (define @t57 () (not @t56)) % 0.19/0.52 (define @t58 () (not @t16)) % 0.19/0.52 (define @t59 () (not @t49)) % 0.19/0.52 (define @t60 () (not @t50)) % 0.19/0.52 (define @t61 () (not @t52)) % 0.19/0.52 (define @t62 () (not @t53)) % 0.19/0.52 (define @t63 () (not @t40)) % 0.19/0.52 (define @t64 () (not @t41)) % 0.19/0.52 (define @t65 () (not @t42)) % 0.19/0.52 (define @t66 () (not @t43)) % 0.19/0.52 (define @t67 () (not @t44)) % 0.19/0.52 (define @t68 () (not @t45)) % 0.19/0.52 (define @t69 () (not @t46)) % 0.19/0.52 (define @t70 () (or @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t33)) % 0.19/0.52 (define @t71 () (or @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58)) % 0.19/0.52 (define @t72 () (forall @t55 @t70)) % 0.19/0.52 (define @t73 () (@quantifiers_skolemize @t72 6)) % 0.19/0.52 (define @t74 () (@quantifiers_skolemize @t72 0)) % 0.19/0.52 (define @t75 () (tptp.organization @t74 @t73)) % 0.19/0.52 (define @t76 () (@quantifiers_skolemize @t72 7)) % 0.19/0.52 (define @t77 () (@quantifiers_skolemize @t72 8)) % 0.19/0.52 (define @t78 () (tptp.greater @t77 @t76)) % 0.19/0.52 (define @t79 () (@quantifiers_skolemize @t72 4)) % 0.19/0.52 (define @t80 () (@quantifiers_skolemize @t72 5)) % 0.19/0.52 (define @t81 () (tptp.greater @t80 @t79)) % 0.19/0.52 (define @t82 () (not @t81)) % 0.19/0.52 (define @t83 () (@quantifiers_skolemize @t72 1)) % 0.19/0.52 (define @t84 () (tptp.complexity @t83 @t80 @t73)) % 0.19/0.52 (define @t85 () (not @t84)) % 0.19/0.52 (define @t86 () (tptp.complexity @t74 @t79 @t73)) % 0.19/0.52 (define @t87 () (not @t86)) % 0.19/0.52 (define @t88 () (@quantifiers_skolemize @t72 2)) % 0.19/0.52 (define @t89 () (tptp.reorganization_type @t83 @t88 @t73)) % 0.19/0.52 (define @t90 () (not @t89)) % 0.19/0.52 (define @t91 () (tptp.reorganization_type @t74 @t88 @t73)) % 0.19/0.52 (define @t92 () (not @t91)) % 0.19/0.52 (define @t93 () (tptp.reorganization @t83 @t73 @t77)) % 0.19/0.52 (define @t94 () (not @t93)) % 0.19/0.52 (define @t95 () (tptp.reorganization @t74 @t73 @t76)) % 0.19/0.52 (define @t96 () (not @t95)) % 0.19/0.52 (define @t97 () (@quantifiers_skolemize @t72 3)) % 0.19/0.52 (define @t98 () (tptp.class @t83 @t97 @t73)) % 0.19/0.52 (define @t99 () (not @t98)) % 0.19/0.52 (define @t100 () (tptp.class @t74 @t97 @t73)) % 0.19/0.52 (define @t101 () (not @t100)) % 0.19/0.52 (define @t102 () (tptp.organization @t83 @t77)) % 0.19/0.52 (define @t103 () (not @t102)) % 0.19/0.52 (define @t104 () (tptp.organization @t83 @t73)) % 0.19/0.52 (define @t105 () (not @t104)) % 0.19/0.52 (define @t106 () (not @t75)) % 0.19/0.52 (define @t107 () (or @t106 @t105 @t103 @t101 @t99 @t96 @t94 @t92 @t90 @t87 @t85 @t82 @t78)) % 0.19/0.52 (define @t108 () (@list true)) % 0.19/0.52 (define @t109 () (@list @t107)) % 0.19/0.52 (define @t110 () (not (forall @t5 (not @t4)))) % 0.19/0.52 (define @t111 () (forall @t5 (not (tptp.inertia @t74 @t2 @t73)))) % 0.19/0.52 (define @t112 () (not @t111)) % 0.19/0.52 (define @t113 () (or @t106 @t112)) % 0.19/0.52 (define @t114 () (@list false false)) % 0.19/0.52 (define @t115 () (@quantifiers_skolemize @t111 0)) % 0.19/0.52 (define @t116 () (tptp.inertia @t74 @t115 @t73)) % 0.19/0.52 (define @t117 () (not @t116)) % 0.19/0.52 (define @t118 () (not @t117)) % 0.19/0.52 (define @t119 () (forall @t5 (not (tptp.inertia @t83 @t2 @t73)))) % 0.19/0.52 (define @t120 () (not @t119)) % 0.19/0.52 (define @t121 () (or @t105 @t120)) % 0.19/0.52 (define @t122 () (@quantifiers_skolemize @t119 0)) % 0.19/0.52 (define @t123 () (tptp.inertia @t83 @t122 @t73)) % 0.19/0.52 (define @t124 () (not @t123)) % 0.19/0.52 (define @t125 () (not @t124)) % 0.19/0.52 (define @t126 () (not @t13)) % 0.19/0.52 (define @t127 () (not @t35)) % 0.19/0.52 (define @t128 () (not @t36)) % 0.19/0.52 (define @t129 () (not @t38)) % 0.19/0.52 (define @t130 () (not @t39)) % 0.19/0.52 (define @t131 () (or @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t130 @t129 @t128 @t127 @t126)) % 0.19/0.52 (define @t132 () (not @t19)) % 0.19/0.52 (define @t133 () (not @t21)) % 0.19/0.52 (define @t134 () (not @t22)) % 0.19/0.52 (define @t135 () (not @t23)) % 0.19/0.52 (define @t136 () (not @t25)) % 0.19/0.52 (define @t137 () (not @t26)) % 0.19/0.52 (define @t138 () (not @t27)) % 0.19/0.52 (define @t139 () (not @t28)) % 0.19/0.52 (define @t140 () (or @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t132 @t58)) % 0.19/0.52 (define @t141 () (tptp.greater @t122 @t115)) % 0.19/0.52 (define @t142 () (or @t106 @t105 @t101 @t99 @t87 @t85 @t117 @t124 @t82 @t141)) % 0.19/0.52 (define @t143 () (not @t141)) % 0.19/0.52 (define @t144 () (or @t106 @t105 @t103 @t101 @t99 @t96 @t94 @t92 @t90 @t117 @t124 @t143 @t78)) % 0.19/0.52 (assume @p1 @t10) % 0.19/0.52 (assume @p2 @t30) % 0.19/0.52 (assume @p3 @t48) % 0.19/0.52 (assume @p4 @t57) % 0.19/0.52 (assume @p5 true) % 0.19/0.52 (step @p6 :rule aci_norm :args ((= (or @t71 @t33) @t70))) % 0.19/0.52 (step @p7 :rule refl :args (@t33)) % 0.19/0.52 (step @p8 :rule aci_norm :args ((= (or @t69 (or @t68 (or @t67 (or @t66 (or @t65 (or @t64 (or @t63 (or @t62 (or @t61 (or @t60 (or @t59 @t58))))))))))) @t71))) % 0.19/0.52 (step @p9 :rule bool-and-de-morgan :args (@t49 @t16 true)) % 0.19/0.52 (step @p10 :rule refl :args (@t60)) % 0.19/0.52 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t60 (not (and @t49 @t16))))) % 0.19/0.52 (step @p12 :rule bool-and-de-morgan :args (@t50 @t49 (and @t16))) % 0.19/0.52 (step @p13 :rule trans :premises (@p12 @p11)) % 0.19/0.52 (step @p14 :rule refl :args (@t61)) % 0.19/0.52 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t61 (not (and @t50 @t49 @t16))))) % 0.19/0.52 (step @p16 :rule bool-and-de-morgan :args (@t52 @t50 (and @t49 @t16))) % 0.19/0.52 (step @p17 :rule trans :premises (@p16 @p15)) % 0.19/0.52 (step @p18 :rule refl :args (@t62)) % 0.19/0.52 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t62 (not (and @t52 @t50 @t49 @t16))))) % 0.19/0.52 (step @p20 :rule bool-and-de-morgan :args (@t53 @t52 (and @t50 @t49 @t16))) % 0.19/0.52 (step @p21 :rule trans :premises (@p20 @p19)) % 0.19/0.52 (step @p22 :rule refl :args (@t63)) % 0.19/0.52 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t63 (not (and @t53 @t52 @t50 @t49 @t16))))) % 0.19/0.52 (step @p24 :rule bool-and-de-morgan :args (@t40 @t53 (and @t52 @t50 @t49 @t16))) % 0.19/0.52 (step @p25 :rule trans :premises (@p24 @p23)) % 0.19/0.52 (step @p26 :rule refl :args (@t64)) % 0.19/0.52 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t64 (not (and @t40 @t53 @t52 @t50 @t49 @t16))))) % 0.19/0.52 (step @p28 :rule bool-and-de-morgan :args (@t41 @t40 (and @t53 @t52 @t50 @t49 @t16))) % 0.19/0.52 (step @p29 :rule trans :premises (@p28 @p27)) % 0.19/0.52 (step @p30 :rule refl :args (@t65)) % 0.19/0.52 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t65 (not (and @t41 @t40 @t53 @t52 @t50 @t49 @t16))))) % 0.19/0.52 (step @p32 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t53 @t52 @t50 @t49 @t16))) % 0.19/0.52 (step @p33 :rule trans :premises (@p32 @p31)) % 0.19/0.52 (step @p34 :rule refl :args (@t66)) % 0.19/0.52 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t66 (not (and @t42 @t41 @t40 @t53 @t52 @t50 @t49 @t16))))) % 0.19/0.52 (step @p36 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t40 @t53 @t52 @t50 @t49 @t16))) % 0.19/0.52 (step @p37 :rule trans :premises (@p36 @p35)) % 0.19/0.52 (step @p38 :rule refl :args (@t67)) % 0.19/0.52 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t67 (not (and @t43 @t42 @t41 @t40 @t53 @t52 @t50 @t49 @t16))))) % 0.19/0.52 (step @p40 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42 @t41 @t40 @t53 @t52 @t50 @t49 @t16))) % 0.19/0.52 (step @p41 :rule trans :premises (@p40 @p39)) % 0.19/0.52 (step @p42 :rule refl :args (@t68)) % 0.19/0.52 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t68 (not (and @t44 @t43 @t42 @t41 @t40 @t53 @t52 @t50 @t49 @t16))))) % 0.19/0.52 (step @p44 :rule bool-and-de-morgan :args (@t45 @t44 (and @t43 @t42 @t41 @t40 @t53 @t52 @t50 @t49 @t16))) % 0.19/0.52 (step @p45 :rule trans :premises (@p44 @p43)) % 0.19/0.52 (step @p46 :rule refl :args (@t69)) % 0.19/0.52 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t69 (not (and @t45 @t44 @t43 @t42 @t41 @t40 @t53 @t52 @t50 @t49 @t16))))) % 0.19/0.52 (step @p48 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44 @t43 @t42 @t41 @t40 @t53 @t52 @t50 @t49 @t16))) % 0.19/0.52 (step @p49 :rule trans :premises (@p48 @p47)) % 0.19/0.52 (step @p50 :rule trans :premises (@p49 @p8)) % 0.19/0.52 (step @p51 :rule nary_cong :premises (@p50 @p7) :args ((or (not @t54) @t33))) % 0.19/0.52 (step @p52 :rule trans :premises (@p51 @p6)) % 0.19/0.52 (step @p53 :rule bool-impl-elim :args (@t54 @t33)) % 0.19/0.52 (step @p54 :rule trans :premises (@p53 @p52)) % 0.19/0.52 (step @p55 :rule cong :premises (@p54) :args (@t56)) % 0.19/0.52 (step @p56 :rule cong :premises (@p55) :args (@t57)) % 0.19/0.52 (step @p57 :rule eq_resolve :premises (@p4 @p56)) % 0.19/0.52 (step @p58 :rule skolemize :premises (@p57)) % 0.19/0.52 (step @p59 :rule bool-double-not-elim :args (@t75)) % 0.19/0.52 (step @p60 :rule refl :args (@t107)) % 0.19/0.52 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t107 (not @t106)))) % 0.19/0.52 (step @p62 :rule cnf_or_neg :args (@t107 0)) % 0.19/0.52 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.19/0.52 (step @p64 :rule reordering :premises (@p63) :args ((or @t75 @t107))) % 0.19/0.52 (step @p65 :rule chain_m_resolution :premises (@p64 @p58) :args (@t75 @t108 @t109)) % 0.19/0.52 (step @p66 :rule bool-double-not-elim :args (@t104)) % 0.19/0.52 (step @p67 :rule nary_cong :premises (@p60 @p66) :args ((or @t107 (not @t105)))) % 0.19/0.52 (step @p68 :rule cnf_or_neg :args (@t107 1)) % 0.19/0.52 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.19/0.52 (step @p70 :rule reordering :premises (@p69) :args ((or @t104 @t107))) % 0.19/0.52 (step @p71 :rule chain_m_resolution :premises (@p70 @p58) :args (@t104 @t108 @t109)) % 0.19/0.52 (step @p72 :rule bool-double-not-elim :args (@t102)) % 0.19/0.52 (step @p73 :rule nary_cong :premises (@p60 @p72) :args ((or @t107 (not @t103)))) % 0.19/0.52 (step @p74 :rule cnf_or_neg :args (@t107 2)) % 0.19/0.52 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.19/0.52 (step @p76 :rule reordering :premises (@p75) :args ((or @t102 @t107))) % 0.19/0.52 (step @p77 :rule chain_m_resolution :premises (@p76 @p58) :args (@t102 @t108 @t109)) % 0.19/0.52 (step @p78 :rule bool-double-not-elim :args (@t100)) % 0.19/0.52 (step @p79 :rule nary_cong :premises (@p60 @p78) :args ((or @t107 (not @t101)))) % 0.19/0.52 (step @p80 :rule cnf_or_neg :args (@t107 3)) % 0.19/0.52 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.19/0.52 (step @p82 :rule reordering :premises (@p81) :args ((or @t100 @t107))) % 0.19/0.52 (step @p83 :rule chain_m_resolution :premises (@p82 @p58) :args (@t100 @t108 @t109)) % 0.19/0.52 (step @p84 :rule bool-double-not-elim :args (@t98)) % 0.19/0.52 (step @p85 :rule nary_cong :premises (@p60 @p84) :args ((or @t107 (not @t99)))) % 0.19/0.52 (step @p86 :rule cnf_or_neg :args (@t107 4)) % 0.19/0.52 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.19/0.52 (step @p88 :rule reordering :premises (@p87) :args ((or @t98 @t107))) % 0.19/0.52 (step @p89 :rule chain_m_resolution :premises (@p88 @p58) :args (@t98 @t108 @t109)) % 0.19/0.52 (step @p90 :rule bool-double-not-elim :args (@t95)) % 0.19/0.52 (step @p91 :rule nary_cong :premises (@p60 @p90) :args ((or @t107 (not @t96)))) % 0.19/0.52 (step @p92 :rule cnf_or_neg :args (@t107 5)) % 0.19/0.52 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.19/0.52 (step @p94 :rule reordering :premises (@p93) :args ((or @t95 @t107))) % 0.19/0.52 (step @p95 :rule chain_m_resolution :premises (@p94 @p58) :args (@t95 @t108 @t109)) % 0.19/0.52 (step @p96 :rule bool-double-not-elim :args (@t93)) % 0.19/0.52 (step @p97 :rule nary_cong :premises (@p60 @p96) :args ((or @t107 (not @t94)))) % 0.19/0.52 (step @p98 :rule cnf_or_neg :args (@t107 6)) % 0.19/0.52 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.19/0.52 (step @p100 :rule reordering :premises (@p99) :args ((or @t93 @t107))) % 0.19/0.52 (step @p101 :rule 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0.19/0.52 (step @p114 :rule cnf_or_neg :args (@t107 12)) % 0.19/0.52 (step @p115 :rule chain_m_resolution :premises (@p114 @p58) :args ((not @t78) @t108 @t109)) % 0.19/0.52 (step @p116 :rule bool-impl-elim :args (@t7 @t110)) % 0.19/0.53 (step @p117 :rule cong :premises (@p116) :args ((forall @t9 (=> @t7 @t110)))) % 0.19/0.53 (step @p118 :rule exists-elim :args ((= @t6 @t110))) % 0.19/0.53 (step @p119 :rule refl :args (@t7)) % 0.19/0.53 (step @p120 :rule cong :premises (@p119 @p118) :args (@t8)) % 0.19/0.53 (step @p121 :rule cong :premises (@p120) :args (@t10)) % 0.19/0.53 (step @p122 :rule trans :premises (@p121 @p117)) % 0.19/0.53 (step @p123 :rule eq_resolve :premises (@p1 @p122)) % 0.19/0.53 (step @p124 :rule instantiate :premises (@p123) :args ((@list @t74 @t73))) % 0.19/0.53 (step @p125 :rule cnf_or_pos :args (@t113)) % 0.19/0.53 (step @p126 :rule reordering :premises (@p125) :args ((or @t106 @t112 (not @t113)))) % 0.19/0.53 (step @p127 :rule chain_m_resolution :premises (@p126 @p65 @p124) :args (@t112 @t114 (@list @t75 @t113))) % 0.19/0.53 (step @p128 :rule refl :args (@t116)) % 0.19/0.53 (step @p129 :rule bool-double-not-elim :args (@t111)) % 0.19/0.53 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t112) @t116))) % 0.19/0.53 (step @p131 :rule bool-double-not-elim :args (@t116)) % 0.19/0.53 (step @p132 :rule refl :args (@t112)) % 0.19/0.53 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t112 @t118))) % 0.19/0.53 (assume-push @p268 @t112) % 0.19/0.53 (step @p135 :rule skolemize :premises (@p127)) % 0.19/0.53 (step-pop @p269 :rule scope :premises (@p135)) % 0.19/0.53 (step @p136 :rule process_scope :premises (@p269) :args (@t118)) % 0.19/0.53 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 0.19/0.53 (step @p139 :rule implies_elim :premises (@p138)) % 0.19/0.53 (step @p140 :rule eq_resolve :premises (@p139 @p130)) % 0.19/0.53 (step @p141 :rule chain_m_resolution :premises (@p140 @p127) :args (@t116 @t108 (@list @t111))) % 0.19/0.53 (step @p142 :rule instantiate :premises (@p123) :args ((@list @t83 @t73))) % 0.19/0.53 (step @p143 :rule cnf_or_pos :args (@t121)) % 0.19/0.53 (step @p144 :rule reordering :premises (@p143) :args ((or @t105 @t120 (not @t121)))) % 0.19/0.53 (step @p145 :rule chain_m_resolution :premises (@p144 @p71 @p142) :args (@t120 @t114 (@list @t104 @t121))) % 0.19/0.53 (step @p146 :rule refl :args (@t123)) % 0.19/0.53 (step @p147 :rule bool-double-not-elim :args (@t119)) % 0.19/0.53 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t120) @t123))) % 0.19/0.53 (step @p149 :rule bool-double-not-elim :args (@t123)) % 0.19/0.53 (step @p150 :rule refl :args (@t120)) % 0.19/0.53 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t120 @t125))) % 0.19/0.53 (assume-push @p270 @t120) % 0.19/0.53 (step @p153 :rule skolemize :premises (@p145)) % 0.19/0.53 (step-pop @p271 :rule scope :premises (@p153)) % 0.19/0.53 (step @p154 :rule process_scope :premises (@p271) :args (@t125)) % 0.19/0.53 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 0.19/0.53 (step @p157 :rule implies_elim :premises (@p156)) % 0.19/0.53 (step @p158 :rule eq_resolve :premises (@p157 @p148)) % 0.19/0.53 (step @p159 :rule chain_m_resolution :premises (@p158 @p145) :args (@t123 @t108 (@list @t119))) % 0.19/0.53 (step @p160 :rule aci_norm :args ((= (or @t131 @t33) (or @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t130 @t129 @t128 @t127 @t126 @t33)))) % 0.19/0.53 (step @p161 :rule aci_norm :args ((= (or @t69 (or @t68 (or @t67 (or @t66 (or @t65 (or @t64 (or @t63 (or @t130 (or @t129 (or @t128 (or @t127 @t126))))))))))) @t131))) % 0.19/0.53 (step @p162 :rule bool-and-de-morgan :args (@t35 @t13 true)) % 0.19/0.53 (step @p163 :rule refl :args (@t128)) % 0.19/0.53 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t128 (not (and @t35 @t13))))) % 0.19/0.53 (step @p165 :rule bool-and-de-morgan :args (@t36 @t35 (and @t13))) % 0.19/0.53 (step @p166 :rule trans :premises (@p165 @p164)) % 0.19/0.53 (step @p167 :rule refl :args (@t129)) % 0.19/0.53 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t129 (not (and @t36 @t35 @t13))))) % 0.19/0.53 (step @p169 :rule bool-and-de-morgan :args (@t38 @t36 (and @t35 @t13))) % 0.19/0.53 (step @p170 :rule trans :premises (@p169 @p168)) % 0.19/0.53 (step @p171 :rule refl :args (@t130)) % 0.19/0.53 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t130 (not (and @t38 @t36 @t35 @t13))))) % 0.19/0.53 (step @p173 :rule bool-and-de-morgan :args (@t39 @t38 (and @t36 @t35 @t13))) % 0.19/0.53 (step @p174 :rule trans :premises (@p173 @p172)) % 0.19/0.53 (step @p175 :rule nary_cong :premises (@p22 @p174) :args ((or @t63 (not (and @t39 @t38 @t36 @t35 @t13))))) % 0.19/0.53 (step @p176 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38 @t36 @t35 @t13))) % 0.19/0.53 (step @p177 :rule trans :premises (@p176 @p175)) % 0.19/0.53 (step @p178 :rule nary_cong :premises (@p26 @p177) :args ((or @t64 (not (and @t40 @t39 @t38 @t36 @t35 @t13))))) % 0.19/0.53 (step @p179 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39 @t38 @t36 @t35 @t13))) % 0.19/0.53 (step @p180 :rule trans :premises (@p179 @p178)) % 0.19/0.53 (step @p181 :rule nary_cong :premises (@p30 @p180) :args ((or @t65 (not (and @t41 @t40 @t39 @t38 @t36 @t35 @t13))))) % 0.19/0.53 (step @p182 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t39 @t38 @t36 @t35 @t13))) % 0.19/0.53 (step @p183 :rule trans :premises (@p182 @p181)) % 0.19/0.53 (step @p184 :rule nary_cong :premises (@p34 @p183) :args ((or @t66 (not (and @t42 @t41 @t40 @t39 @t38 @t36 @t35 @t13))))) % 0.19/0.53 (step @p185 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t40 @t39 @t38 @t36 @t35 @t13))) % 0.19/0.53 (step @p186 :rule trans :premises (@p185 @p184)) % 0.19/0.53 (step @p187 :rule nary_cong :premises (@p38 @p186) :args ((or @t67 (not (and @t43 @t42 @t41 @t40 @t39 @t38 @t36 @t35 @t13))))) % 0.19/0.53 (step @p188 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42 @t41 @t40 @t39 @t38 @t36 @t35 @t13))) % 0.19/0.53 (step @p189 :rule trans :premises (@p188 @p187)) % 0.19/0.53 (step @p190 :rule nary_cong :premises (@p42 @p189) :args ((or @t68 (not (and @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t36 @t35 @t13))))) % 0.19/0.53 (step @p191 :rule bool-and-de-morgan :args (@t45 @t44 (and @t43 @t42 @t41 @t40 @t39 @t38 @t36 @t35 @t13))) % 0.19/0.53 (step @p192 :rule trans :premises (@p191 @p190)) % 0.19/0.53 (step @p193 :rule nary_cong :premises (@p46 @p192) :args ((or @t69 (not (and @t45 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t36 @t35 @t13))))) % 0.19/0.53 (step @p194 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t36 @t35 @t13))) % 0.19/0.53 (step @p195 :rule trans :premises (@p194 @p193)) % 0.19/0.53 (step @p196 :rule trans :premises (@p195 @p161)) % 0.19/0.53 (step @p197 :rule nary_cong :premises (@p196 @p7) :args ((or (not @t47) @t33))) % 0.19/0.53 (step @p198 :rule trans :premises (@p197 @p160)) % 0.19/0.53 (step @p199 :rule bool-impl-elim :args (@t47 @t33)) % 0.19/0.53 (step @p200 :rule trans :premises (@p199 @p198)) % 0.19/0.53 (step @p201 :rule cong :premises (@p200) :args (@t48)) % 0.19/0.53 (step @p202 :rule eq_resolve :premises (@p3 @p201)) % 0.19/0.53 (step @p203 :rule instantiate :premises (@p202) :args ((@list @t74 @t83 @t88 @t97 @t115 @t122 @t73 @t76 @t77))) % 0.19/0.53 (step @p204 :rule aci_norm :args ((= (or @t140 @t13) (or @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t132 @t58 @t13)))) % 0.19/0.53 (step @p205 :rule refl :args (@t13)) % 0.19/0.53 (step @p206 :rule aci_norm :args ((= (or @t139 (or @t138 (or @t137 (or @t136 (or @t135 (or @t134 (or @t133 (or @t132 @t58)))))))) @t140))) % 0.19/0.53 (step @p207 :rule bool-and-de-morgan :args (@t19 @t16 true)) % 0.19/0.53 (step @p208 :rule refl :args (@t133)) % 0.19/0.53 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or @t133 (not (and @t19 @t16))))) % 0.19/0.53 (step @p210 :rule bool-and-de-morgan :args (@t21 @t19 (and @t16))) % 0.19/0.53 (step @p211 :rule trans :premises (@p210 @p209)) % 0.19/0.53 (step @p212 :rule refl :args (@t134)) % 0.19/0.53 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or @t134 (not (and @t21 @t19 @t16))))) % 0.19/0.53 (step @p214 :rule bool-and-de-morgan :args (@t22 @t21 (and @t19 @t16))) % 0.19/0.53 (step @p215 :rule trans :premises (@p214 @p213)) % 0.19/0.53 (step @p216 :rule refl :args (@t135)) % 0.19/0.53 (step @p217 :rule nary_cong :premises (@p216 @p215) :args ((or @t135 (not (and @t22 @t21 @t19 @t16))))) % 0.19/0.53 (step @p218 :rule bool-and-de-morgan :args (@t23 @t22 (and @t21 @t19 @t16))) % 0.19/0.53 (step @p219 :rule trans :premises (@p218 @p217)) % 0.19/0.53 (step @p220 :rule refl :args (@t136)) % 0.19/0.53 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or @t136 (not (and @t23 @t22 @t21 @t19 @t16))))) % 0.19/0.53 (step @p222 :rule bool-and-de-morgan :args (@t25 @t23 (and @t22 @t21 @t19 @t16))) % 0.19/0.53 (step @p223 :rule trans :premises (@p222 @p221)) % 0.19/0.53 (step @p224 :rule refl :args (@t137)) % 0.19/0.53 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t137 (not (and @t25 @t23 @t22 @t21 @t19 @t16))))) % 0.19/0.53 (step @p226 :rule bool-and-de-morgan :args (@t26 @t25 (and @t23 @t22 @t21 @t19 @t16))) % 0.19/0.53 (step @p227 :rule trans :premises (@p226 @p225)) % 0.19/0.53 (step @p228 :rule refl :args (@t138)) % 0.19/0.53 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t138 (not (and @t26 @t25 @t23 @t22 @t21 @t19 @t16))))) % 0.19/0.53 (step @p230 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t23 @t22 @t21 @t19 @t16))) % 0.19/0.53 (step @p231 :rule trans :premises (@p230 @p229)) % 0.19/0.53 (step @p232 :rule refl :args (@t139)) % 0.19/0.53 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t139 (not (and @t27 @t26 @t25 @t23 @t22 @t21 @t19 @t16))))) % 0.19/0.53 (step @p234 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25 @t23 @t22 @t21 @t19 @t16))) % 0.19/0.53 (step @p235 :rule trans :premises (@p234 @p233)) % 0.19/0.53 (step @p236 :rule trans :premises (@p235 @p206)) % 0.19/0.53 (step @p237 :rule nary_cong :premises (@p236 @p205) :args ((or (not @t29) @t13))) % 0.19/0.53 (step @p238 :rule trans :premises (@p237 @p204)) % 0.19/0.53 (step @p239 :rule bool-impl-elim :args (@t29 @t13)) % 0.19/0.53 (step @p240 :rule trans :premises (@p239 @p238)) % 0.19/0.53 (step @p241 :rule cong :premises (@p240) :args (@t30)) % 0.19/0.53 (step @p242 :rule eq_resolve :premises (@p2 @p241)) % 0.19/0.53 (step @p243 :rule instantiate :premises (@p242) :args ((@list @t74 @t83 @t97 @t79 @t80 @t115 @t122 @t73 @t73))) % 0.19/0.53 (step @p244 :rule bool-double-not-elim :args (@t81)) % 0.19/0.53 (step @p245 :rule nary_cong :premises (@p60 @p244) :args ((or @t107 (not @t82)))) % 0.19/0.53 (step @p246 :rule cnf_or_neg :args (@t107 11)) % 0.19/0.53 (step @p247 :rule eq_resolve :premises (@p246 @p245)) % 0.19/0.53 (step @p248 :rule reordering :premises (@p247) :args ((or @t81 @t107))) % 0.19/0.53 (step @p249 :rule chain_m_resolution :premises (@p248 @p58) :args (@t81 @t108 @t109)) % 0.19/0.53 (step @p250 :rule bool-double-not-elim :args (@t84)) % 0.19/0.53 (step @p251 :rule nary_cong :premises (@p60 @p250) :args ((or @t107 (not @t85)))) % 0.19/0.53 (step @p252 :rule cnf_or_neg :args (@t107 10)) % 0.19/0.53 (step @p253 :rule eq_resolve :premises (@p252 @p251)) % 0.19/0.53 (step @p254 :rule reordering :premises (@p253) :args ((or @t84 @t107))) % 0.19/0.53 (step @p255 :rule chain_m_resolution :premises (@p254 @p58) :args (@t84 @t108 @t109)) % 0.19/0.53 (step @p256 :rule bool-double-not-elim :args (@t86)) % 0.19/0.53 (step @p257 :rule nary_cong :premises (@p60 @p256) :args ((or @t107 (not @t87)))) % 0.19/0.53 (step @p258 :rule cnf_or_neg :args (@t107 9)) % 0.19/0.53 (step @p259 :rule eq_resolve :premises (@p258 @p257)) % 0.19/0.53 (step @p260 :rule reordering :premises (@p259) :args ((or @t86 @t107))) % 0.19/0.53 (step @p261 :rule chain_m_resolution :premises (@p260 @p58) :args (@t86 @t108 @t109)) % 0.19/0.53 (step @p262 :rule cnf_or_pos :args (@t142)) % 0.19/0.53 (step @p263 :rule reordering :premises (@p262) :args ((or @t106 @t105 @t101 @t99 @t87 @t85 @t82 @t117 @t124 @t141 (not @t142)))) % 0.19/0.53 (step @p264 :rule chain_m_resolution :premises (@p263 @p65 @p71 @p83 @p89 @p261 @p255 @p249 @p141 @p159 @p243) :args (@t141 (@list false false false false false false false false false false) (@list @t75 @t104 @t100 @t98 @t86 @t84 @t81 @t116 @t123 @t142))) % 0.19/0.53 (step @p265 :rule cnf_or_pos :args (@t144)) % 0.19/0.53 (step @p266 :rule reordering :premises (@p265) :args ((or @t106 @t105 @t103 @t101 @t99 @t96 @t94 @t92 @t90 @t78 @t117 @t124 @t143 (not @t144)))) % 0.19/0.53 (step @p267 false :rule chain_m_resolution :premises (@p266 @p264 @p203 @p159 @p141 @p115 @p113 @p107 @p101 @p95 @p89 @p83 @p77 @p71 @p65) :args (false (@list false false false false true false false false false false false false false false) (@list @t141 @t144 @t123 @t116 @t78 @t89 @t91 @t93 @t95 @t98 @t100 @t102 @t104 @t75))) % 0.19/0.53 ) % 0.19/0.53 % SZS output end Proof % 0.19/0.53 % cvc5 exiting %------------------------------------------------------------------------------