%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT014+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 : n029.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 : MGT014+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 : n029.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 11:54:56 UTC 2026 % 0.09/0.36 % CPUTime : % 0.14/0.43 %----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 $$unsorted 0) % 0.18/0.53 (declare-const tptp.complexity (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.size (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.time (-> $$unsorted Bool)) % 0.18/0.53 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.18/0.53 (define @t1 () (@var "Y" $$unsorted)) % 0.18/0.53 (define @t2 () (@var "X" $$unsorted)) % 0.18/0.53 (define @t3 () (tptp.greater @t2 @t1)) % 0.18/0.53 (define @t4 () (@list @t2 @t1)) % 0.18/0.53 (define @t5 () (tptp.greater @t1 @t2)) % 0.18/0.53 (define @t6 () (forall @t4 (not (and @t3 @t5)))) % 0.18/0.53 (define @t7 () (@var "T" $$unsorted)) % 0.18/0.53 (define @t8 () (tptp.time @t7)) % 0.18/0.53 (define @t9 () (tptp.organization @t2 @t7)) % 0.18/0.53 (define @t10 () (forall (@list @t2 @t7) (=> @t9 @t8))) % 0.18/0.53 (define @t11 () (@var "T1" $$unsorted)) % 0.18/0.53 (define @t12 () (@var "T2" $$unsorted)) % 0.18/0.53 (define @t13 () (tptp.greater @t12 @t11)) % 0.18/0.53 (define @t14 () (= @t11 @t12)) % 0.18/0.53 (define @t15 () (tptp.greater @t11 @t12)) % 0.18/0.53 (define @t16 () (or @t15 @t14 @t13)) % 0.18/0.53 (define @t17 () (tptp.time @t12)) % 0.18/0.53 (define @t18 () (tptp.time @t11)) % 0.18/0.53 (define @t19 () (and @t18 @t17)) % 0.18/0.53 (define @t20 () (forall (@list @t11 @t12) (=> @t19 @t16))) % 0.18/0.53 (define @t21 () (tptp.reorganization_free @t2 @t12 @t11)) % 0.18/0.53 (define @t22 () (tptp.reorganization_free @t2 @t11 @t12)) % 0.18/0.53 (define @t23 () (forall (@list @t2 @t11 @t12) (=> @t22 @t21))) % 0.18/0.53 (define @t24 () (@var "S2" $$unsorted)) % 0.18/0.53 (define @t25 () (@var "S1" $$unsorted)) % 0.18/0.53 (define @t26 () (= @t25 @t24)) % 0.18/0.53 (define @t27 () (tptp.size @t2 @t24 @t12)) % 0.18/0.53 (define @t28 () (tptp.size @t2 @t25 @t11)) % 0.18/0.53 (define @t29 () (tptp.organization @t2 @t12)) % 0.18/0.53 (define @t30 () (tptp.organization @t2 @t11)) % 0.18/0.53 (define @t31 () (and @t30 @t29 @t28 @t27 @t14)) % 0.18/0.53 (define @t32 () (@list @t2 @t25 @t24 @t11 @t12)) % 0.18/0.53 (define @t33 () (forall @t32 (=> @t31 @t26))) % 0.18/0.53 (define @t34 () (not (tptp.greater @t25 @t24))) % 0.18/0.53 (define @t35 () (and @t30 @t29 @t22 @t28 @t27 @t13)) % 0.18/0.53 (define @t36 () (forall @t32 (=> @t35 @t34))) % 0.18/0.53 (define @t37 () (@var "C2" $$unsorted)) % 0.18/0.53 (define @t38 () (@var "C1" $$unsorted)) % 0.18/0.53 (define @t39 () (not (tptp.greater @t38 @t37))) % 0.18/0.53 (define @t40 () (tptp.complexity @t2 @t37 @t12)) % 0.18/0.53 (define @t41 () (tptp.complexity @t2 @t38 @t11)) % 0.18/0.53 (define @t42 () (and @t30 @t29 @t22 @t41 @t40 @t13)) % 0.18/0.53 (define @t43 () (forall (@list @t2 @t38 @t37 @t11 @t12) (=> @t42 @t39))) % 0.18/0.53 (define @t44 () (tptp.greater @t24 @t25)) % 0.18/0.53 (define @t45 () (and @t30 @t29 @t22 @t41 @t40 @t28 @t27 @t44)) % 0.18/0.53 (define @t46 () (@list @t2 @t38 @t37 @t25 @t24 @t11 @t12)) % 0.18/0.53 (define @t47 () (forall @t46 (=> @t45 @t39))) % 0.18/0.53 (define @t48 () (not @t47)) % 0.18/0.53 (define @t49 () (not @t44)) % 0.18/0.53 (define @t50 () (not @t27)) % 0.18/0.53 (define @t51 () (not @t28)) % 0.18/0.53 (define @t52 () (not @t40)) % 0.18/0.53 (define @t53 () (not @t41)) % 0.18/0.53 (define @t54 () (not @t22)) % 0.18/0.53 (define @t55 () (not @t29)) % 0.18/0.53 (define @t56 () (not @t30)) % 0.18/0.53 (define @t57 () (or @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t49 @t39)) % 0.18/0.53 (define @t58 () (or @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t49)) % 0.18/0.53 (define @t59 () (forall @t46 @t57)) % 0.18/0.53 (define @t60 () (@quantifiers_skolemize @t59 3)) % 0.18/0.53 (define @t61 () (@quantifiers_skolemize @t59 4)) % 0.18/0.53 (define @t62 () (tptp.greater @t61 @t60)) % 0.18/0.53 (define @t63 () (@quantifiers_skolemize @t59 2)) % 0.18/0.53 (define @t64 () (@quantifiers_skolemize @t59 1)) % 0.18/0.53 (define @t65 () (tptp.greater @t64 @t63)) % 0.18/0.53 (define @t66 () (not @t65)) % 0.18/0.53 (define @t67 () (not @t62)) % 0.18/0.53 (define @t68 () (@quantifiers_skolemize @t59 6)) % 0.18/0.53 (define @t69 () (@quantifiers_skolemize @t59 0)) % 0.18/0.53 (define @t70 () (tptp.size @t69 @t61 @t68)) % 0.18/0.53 (define @t71 () (not @t70)) % 0.18/0.53 (define @t72 () (@quantifiers_skolemize @t59 5)) % 0.18/0.53 (define @t73 () (tptp.size @t69 @t60 @t72)) % 0.18/0.53 (define @t74 () (not @t73)) % 0.18/0.53 (define @t75 () (tptp.complexity @t69 @t63 @t68)) % 0.18/0.53 (define @t76 () (not @t75)) % 0.18/0.53 (define @t77 () (tptp.complexity @t69 @t64 @t72)) % 0.18/0.53 (define @t78 () (not @t77)) % 0.18/0.53 (define @t79 () (tptp.reorganization_free @t69 @t72 @t68)) % 0.18/0.53 (define @t80 () (not @t79)) % 0.18/0.53 (define @t81 () (tptp.organization @t69 @t68)) % 0.18/0.53 (define @t82 () (not @t81)) % 0.18/0.53 (define @t83 () (tptp.organization @t69 @t72)) % 0.18/0.53 (define @t84 () (not @t83)) % 0.18/0.53 (define @t85 () (or @t84 @t82 @t80 @t78 @t76 @t74 @t71 @t67 @t66)) % 0.18/0.53 (define @t86 () (@list true)) % 0.18/0.53 (define @t87 () (@list @t85)) % 0.18/0.53 (define @t88 () (not (tptp.size @t2 @t25 @t12))) % 0.18/0.53 (define @t89 () (or @t55 @t88 @t50 @t26)) % 0.18/0.53 (define @t90 () (not (= @t12 @t12))) % 0.18/0.53 (define @t91 () (or @t55 @t55 @t88 @t50 @t90 @t26)) % 0.18/0.53 (define @t92 () (@list @t2 @t25 @t24 @t12)) % 0.18/0.53 (define @t93 () (not @t14)) % 0.18/0.53 (define @t94 () (or @t93 @t56 @t55 @t51 @t50 @t93 @t26)) % 0.18/0.53 (define @t95 () (@list @t11)) % 0.18/0.53 (define @t96 () (or @t56 @t55 @t51 @t50 @t93 @t26)) % 0.18/0.53 (define @t97 () (forall @t95 @t96)) % 0.18/0.53 (define @t98 () (forall @t92 @t97)) % 0.18/0.53 (define @t99 () (forall (@list @t2 @t25 @t24 @t12 @t11) @t96)) % 0.18/0.53 (define @t100 () (or @t56 @t55 @t51 @t50 @t93)) % 0.18/0.53 (define @t101 () (tptp.size @t69 @t60 @t68)) % 0.18/0.53 (define @t102 () (not @t101)) % 0.18/0.53 (define @t103 () (or @t82 @t71 @t102 (= @t61 @t60))) % 0.18/0.53 (define @t104 () (forall @t92 @t89)) % 0.18/0.53 (define @t105 () (= @t60 @t61)) % 0.18/0.53 (define @t106 () (or @t82 @t71 @t102 @t105)) % 0.18/0.53 (define @t107 () (not @t17)) % 0.18/0.53 (define @t108 () (not @t18)) % 0.18/0.53 (define @t109 () (not @t13)) % 0.18/0.53 (define @t110 () (or @t56 @t55 @t54 @t53 @t52 @t109)) % 0.18/0.53 (define @t111 () (tptp.greater @t68 @t72)) % 0.18/0.53 (define @t112 () (not @t111)) % 0.18/0.53 (define @t113 () (or @t84 @t82 @t80 @t78 @t76 @t112 @t66)) % 0.18/0.53 (define @t114 () (@list false false false false false false false)) % 0.18/0.53 (define @t115 () (or @t56 @t55 @t54 @t51 @t50 @t109)) % 0.18/0.53 (define @t116 () (tptp.reorganization_free @t69 @t68 @t72)) % 0.18/0.53 (define @t117 () (or @t80 @t116)) % 0.18/0.53 (define @t118 () (@list false false)) % 0.18/0.53 (define @t119 () (tptp.greater @t72 @t68)) % 0.18/0.53 (define @t120 () (not @t119)) % 0.18/0.53 (define @t121 () (not @t116)) % 0.18/0.53 (define @t122 () (or @t82 @t84 @t121 @t71 @t74 @t120 @t67)) % 0.18/0.53 (define @t123 () (tptp.time @t68)) % 0.18/0.53 (define @t124 () (or @t82 @t123)) % 0.18/0.53 (define @t125 () (tptp.time @t72)) % 0.18/0.53 (define @t126 () (or @t84 @t125)) % 0.18/0.53 (define @t127 () (= @t72 @t68)) % 0.18/0.53 (define @t128 () (not @t123)) % 0.18/0.53 (define @t129 () (not @t125)) % 0.18/0.53 (define @t130 () (or @t129 @t128 @t119 @t127 @t111)) % 0.18/0.53 (define @t131 () (tptp.greater @t60 @t61)) % 0.18/0.53 (define @t132 () (not @t131)) % 0.18/0.53 (define @t133 () (or @t67 @t132)) % 0.18/0.53 (assume @p1 (forall @t4 (not (and @t3 (= @t2 @t1))))) % 0.18/0.53 (assume @p2 @t6) % 0.18/0.53 (assume @p3 @t10) % 0.18/0.53 (assume @p4 @t20) % 0.18/0.53 (assume @p5 @t23) % 0.18/0.53 (assume @p6 @t33) % 0.18/0.53 (assume @p7 @t36) % 0.18/0.53 (assume @p8 @t43) % 0.18/0.53 (assume @p9 @t48) % 0.18/0.53 (assume @p10 true) % 0.18/0.53 (step @p11 :rule evaluate :args ((= false true))) % 0.18/0.53 (step @p12 :rule aci_norm :args ((= (or @t58 @t39) @t57))) % 0.18/0.53 (step @p13 :rule refl :args (@t39)) % 0.18/0.53 (step @p14 :rule aci_norm :args ((= (or @t56 (or @t55 (or @t54 (or @t53 (or @t52 (or @t51 (or @t50 @t49))))))) @t58))) % 0.18/0.53 (step @p15 :rule bool-and-de-morgan :args (@t27 @t44 true)) % 0.18/0.53 (step @p16 :rule refl :args (@t51)) % 0.18/0.53 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t51 (not (and @t27 @t44))))) % 0.18/0.53 (step @p18 :rule bool-and-de-morgan :args (@t28 @t27 (and @t44))) % 0.18/0.53 (step @p19 :rule trans :premises (@p18 @p17)) % 0.18/0.53 (step @p20 :rule refl :args (@t52)) % 0.18/0.53 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or @t52 (not (and @t28 @t27 @t44))))) % 0.18/0.53 (step @p22 :rule bool-and-de-morgan :args (@t40 @t28 (and @t27 @t44))) % 0.18/0.53 (step @p23 :rule trans :premises (@p22 @p21)) % 0.18/0.53 (step @p24 :rule refl :args (@t53)) % 0.18/0.53 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t53 (not (and @t40 @t28 @t27 @t44))))) % 0.18/0.53 (step @p26 :rule bool-and-de-morgan :args (@t41 @t40 (and @t28 @t27 @t44))) % 0.18/0.53 (step @p27 :rule trans :premises (@p26 @p25)) % 0.18/0.53 (step @p28 :rule refl :args (@t54)) % 0.18/0.53 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t54 (not (and @t41 @t40 @t28 @t27 @t44))))) % 0.18/0.53 (step @p30 :rule bool-and-de-morgan :args (@t22 @t41 (and @t40 @t28 @t27 @t44))) % 0.18/0.53 (step @p31 :rule trans :premises (@p30 @p29)) % 0.18/0.53 (step @p32 :rule refl :args (@t55)) % 0.18/0.53 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t55 (not (and @t22 @t41 @t40 @t28 @t27 @t44))))) % 0.18/0.53 (step @p34 :rule bool-and-de-morgan :args (@t29 @t22 (and @t41 @t40 @t28 @t27 @t44))) % 0.18/0.53 (step @p35 :rule trans :premises (@p34 @p33)) % 0.18/0.53 (step @p36 :rule refl :args (@t56)) % 0.18/0.53 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t56 (not (and @t29 @t22 @t41 @t40 @t28 @t27 @t44))))) % 0.18/0.53 (step @p38 :rule bool-and-de-morgan :args (@t30 @t29 (and @t22 @t41 @t40 @t28 @t27 @t44))) % 0.18/0.53 (step @p39 :rule trans :premises (@p38 @p37)) % 0.18/0.53 (step @p40 :rule trans :premises (@p39 @p14)) % 0.18/0.53 (step @p41 :rule nary_cong :premises (@p40 @p13) :args ((or (not @t45) @t39))) % 0.18/0.53 (step @p42 :rule trans :premises (@p41 @p12)) % 0.18/0.53 (step @p43 :rule bool-impl-elim :args (@t45 @t39)) % 0.18/0.53 (step @p44 :rule trans :premises (@p43 @p42)) % 0.18/0.53 (step @p45 :rule cong :premises (@p44) :args (@t47)) % 0.18/0.53 (step @p46 :rule cong :premises (@p45) :args (@t48)) % 0.18/0.53 (step @p47 :rule eq_resolve :premises (@p9 @p46)) % 0.18/0.53 (step @p48 :rule skolemize :premises (@p47)) % 0.18/0.53 (step @p49 :rule bool-double-not-elim :args (@t62)) % 0.18/0.53 (step @p50 :rule refl :args (@t85)) % 0.18/0.53 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t85 (not @t67)))) % 0.18/0.53 (step @p52 :rule cnf_or_neg :args (@t85 7)) % 0.18/0.53 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.18/0.53 (step @p54 :rule reordering :premises (@p53) :args ((or @t62 @t85))) % 0.18/0.53 (step @p55 :rule chain_m_resolution :premises (@p54 @p48) :args (@t62 @t86 @t87)) % 0.18/0.53 (step @p56 :rule true_intro :premises (@p55)) % 0.18/0.53 (step @p57 :rule refl :args (@t60)) % 0.18/0.53 (step @p58 :rule aci_norm :args ((= (or @t55 @t55 @t88 @t50 false @t26) @t89))) % 0.18/0.53 (step @p59 :rule refl :args (@t26)) % 0.18/0.53 (step @p60 :rule evaluate :args ((not true))) % 0.18/0.53 (step @p61 :rule eq-refl :args (@t12)) % 0.18/0.53 (step @p62 :rule cong :premises (@p61) :args (@t90)) % 0.18/0.53 (step @p63 :rule trans :premises (@p62 @p60)) % 0.18/0.53 (step @p64 :rule refl :args (@t50)) % 0.18/0.53 (step @p65 :rule refl :args (@t88)) % 0.18/0.53 (step @p66 :rule refl :args (@t55)) % 0.18/0.53 (step @p67 :rule nary_cong :premises (@p66 @p66 @p65 @p64 @p63 @p59) :args (@t91)) % 0.18/0.53 (step @p68 :rule trans :premises (@p67 @p58)) % 0.18/0.53 (step @p69 :rule cong :premises (@p68) :args ((forall @t92 @t91))) % 0.18/0.53 (step @p70 :rule quant-var-elim-eq :args ((= (forall @t95 @t94) @t91))) % 0.18/0.53 (step @p71 :rule aci_norm :args ((= @t96 @t94))) % 0.18/0.53 (step @p72 :rule cong :premises (@p71) :args (@t97)) % 0.18/0.53 (step @p73 :rule trans :premises (@p72 @p70)) % 0.18/0.53 (step @p74 :rule cong :premises (@p73) :args (@t98)) % 0.18/0.53 (step @p75 :rule quant-merge-prenex :args ((= @t98 @t99))) % 0.18/0.53 (step @p76 :rule symm :premises (@p75)) % 0.18/0.53 (step @p77 :rule quant_var_reordering :args ((= (forall @t32 @t96) @t99))) % 0.18/0.53 (step @p78 :rule trans :premises (@p77 @p76 @p74)) % 0.18/0.53 (step @p79 :rule trans :premises (@p78 @p69)) % 0.18/0.53 (step @p80 :rule aci_norm :args ((= (or @t100 @t26) @t96))) % 0.18/0.53 (step @p81 :rule refl :args (@t26)) % 0.18/0.53 (step @p82 :rule aci_norm :args ((= (or @t56 (or @t55 (or @t51 (or @t50 @t93)))) @t100))) % 0.18/0.53 (step @p83 :rule bool-and-de-morgan :args (@t27 @t14 true)) % 0.18/0.53 (step @p84 :rule nary_cong :premises (@p16 @p83) :args ((or @t51 (not (and @t27 @t14))))) % 0.18/0.53 (step @p85 :rule bool-and-de-morgan :args (@t28 @t27 (and @t14))) % 0.18/0.53 (step @p86 :rule trans :premises (@p85 @p84)) % 0.18/0.53 (step @p87 :rule nary_cong :premises (@p32 @p86) :args ((or @t55 (not (and @t28 @t27 @t14))))) % 0.18/0.53 (step @p88 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t14))) % 0.18/0.53 (step @p89 :rule trans :premises (@p88 @p87)) % 0.18/0.53 (step @p90 :rule nary_cong :premises (@p36 @p89) :args ((or @t56 (not (and @t29 @t28 @t27 @t14))))) % 0.18/0.53 (step @p91 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t27 @t14))) % 0.18/0.53 (step @p92 :rule trans :premises (@p91 @p90)) % 0.18/0.53 (step @p93 :rule trans :premises (@p92 @p82)) % 0.18/0.53 (step @p94 :rule nary_cong :premises (@p93 @p81) :args ((or (not @t31) @t26))) % 0.18/0.53 (step @p95 :rule trans :premises (@p94 @p80)) % 0.18/0.53 (step @p96 :rule bool-impl-elim :args (@t31 @t26)) % 0.18/0.53 (step @p97 :rule trans :premises (@p96 @p95)) % 0.18/0.53 (step @p98 :rule cong :premises (@p97) :args (@t33)) % 0.18/0.53 (step @p99 :rule trans :premises (@p98 @p79)) % 0.18/0.53 (step @p100 :rule eq_resolve :premises (@p6 @p99)) % 0.18/0.53 (step @p101 :rule eq-symm :args (@t61 @t60)) % 0.18/0.53 (step @p102 :rule refl :args (@t102)) % 0.18/0.53 (step @p103 :rule refl :args (@t71)) % 0.18/0.53 (step @p104 :rule refl :args (@t82)) % 0.18/0.53 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101) :args (@t103)) % 0.18/0.53 (step @p106 :rule refl :args (@t104)) % 0.18/0.53 (step @p107 :rule cong :premises (@p106 @p105) :args ((=> @t104 @t103))) % 0.18/0.53 (assume-push @p270 @t104) % 0.18/0.53 (step @p109 :rule instantiate :premises (@p100) :args ((@list @t69 @t61 @t60 @t68))) % 0.18/0.53 (step-pop @p271 :rule scope :premises (@p109)) % 0.18/0.53 (step @p110 :rule process_scope :premises (@p271) :args (@t103)) % 0.18/0.53 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 0.18/0.53 (step @p113 :rule 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0.18/0.53 (step @p126 :rule trans :premises (@p125 @p122)) % 0.18/0.53 (step @p127 :rule bool-impl-elim :args (@t19 @t16)) % 0.18/0.53 (step @p128 :rule trans :premises (@p127 @p126)) % 0.18/0.53 (step @p129 :rule cong :premises (@p128) :args (@t20)) % 0.18/0.53 (step @p130 :rule eq_resolve :premises (@p4 @p129)) % 0.18/0.53 (step @p131 :rule instantiate :premises (@p130) :args ((@list @t72 @t68))) % 0.18/0.53 (step @p132 :rule aci_norm :args ((= (or @t110 @t39) (or @t56 @t55 @t54 @t53 @t52 @t109 @t39)))) % 0.18/0.53 (step @p133 :rule aci_norm :args ((= (or @t56 (or @t55 (or @t54 (or @t53 (or @t52 @t109))))) @t110))) % 0.18/0.53 (step @p134 :rule bool-and-de-morgan :args (@t40 @t13 true)) % 0.18/0.53 (step @p135 :rule nary_cong :premises (@p24 @p134) :args ((or @t53 (not (and @t40 @t13))))) % 0.18/0.53 (step @p136 :rule bool-and-de-morgan :args (@t41 @t40 (and @t13))) % 0.18/0.53 (step @p137 :rule trans :premises (@p136 @p135)) % 0.18/0.53 (step @p138 :rule nary_cong :premises (@p28 @p137) :args ((or @t54 (not (and @t41 @t40 @t13))))) % 0.18/0.53 (step @p139 :rule bool-and-de-morgan :args (@t22 @t41 (and @t40 @t13))) % 0.18/0.53 (step @p140 :rule trans :premises (@p139 @p138)) % 0.18/0.53 (step @p141 :rule nary_cong :premises (@p32 @p140) :args ((or @t55 (not (and @t22 @t41 @t40 @t13))))) % 0.18/0.53 (step @p142 :rule bool-and-de-morgan :args (@t29 @t22 (and @t41 @t40 @t13))) % 0.18/0.53 (step @p143 :rule trans :premises (@p142 @p141)) % 0.18/0.53 (step @p144 :rule nary_cong :premises (@p36 @p143) :args ((or @t56 (not (and @t29 @t22 @t41 @t40 @t13))))) % 0.18/0.53 (step @p145 :rule bool-and-de-morgan :args (@t30 @t29 (and @t22 @t41 @t40 @t13))) % 0.18/0.53 (step @p146 :rule trans :premises (@p145 @p144)) % 0.18/0.53 (step @p147 :rule trans :premises (@p146 @p133)) % 0.18/0.53 (step @p148 :rule nary_cong :premises (@p147 @p13) :args ((or (not @t42) @t39))) % 0.18/0.53 (step @p149 :rule trans :premises (@p148 @p132)) % 0.18/0.53 (step @p150 :rule bool-impl-elim :args (@t42 @t39)) % 0.18/0.53 (step @p151 :rule trans :premises (@p150 @p149)) % 0.18/0.53 (step @p152 :rule cong :premises (@p151) :args (@t43)) % 0.18/0.53 (step @p153 :rule eq_resolve :premises (@p8 @p152)) % 0.18/0.53 (step @p154 :rule instantiate :premises (@p153) :args ((@list @t69 @t64 @t63 @t72 @t68))) % 0.18/0.53 (step @p155 :rule bool-double-not-elim :args (@t65)) % 0.18/0.53 (step @p156 :rule nary_cong :premises (@p50 @p155) :args ((or @t85 (not @t66)))) % 0.18/0.53 (step @p157 :rule cnf_or_neg :args (@t85 8)) % 0.18/0.53 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.18/0.53 (step @p159 :rule reordering :premises (@p158) :args ((or @t65 @t85))) % 0.18/0.53 (step @p160 :rule chain_m_resolution :premises (@p159 @p48) :args (@t65 @t86 @t87)) % 0.18/0.53 (step @p161 :rule bool-double-not-elim :args (@t75)) % 0.18/0.53 (step @p162 :rule nary_cong :premises (@p50 @p161) :args ((or @t85 (not @t76)))) % 0.18/0.53 (step @p163 :rule cnf_or_neg :args (@t85 4)) % 0.18/0.53 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.18/0.53 (step @p165 :rule reordering :premises (@p164) :args ((or @t75 @t85))) % 0.18/0.53 (step @p166 :rule chain_m_resolution :premises (@p165 @p48) :args (@t75 @t86 @t87)) % 0.18/0.53 (step @p167 :rule bool-double-not-elim :args (@t77)) % 0.18/0.53 (step @p168 :rule nary_cong :premises (@p50 @p167) :args ((or @t85 (not @t78)))) % 0.18/0.53 (step @p169 :rule cnf_or_neg :args (@t85 3)) % 0.18/0.53 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.18/0.53 (step @p171 :rule reordering :premises (@p170) :args ((or @t77 @t85))) % 0.18/0.53 (step @p172 :rule chain_m_resolution :premises (@p171 @p48) :args (@t77 @t86 @t87)) % 0.18/0.53 (step @p173 :rule bool-double-not-elim :args (@t79)) % 0.18/0.53 (step @p174 :rule nary_cong :premises (@p50 @p173) :args ((or @t85 (not @t80)))) % 0.18/0.53 (step @p175 :rule cnf_or_neg :args (@t85 2)) % 0.18/0.53 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.18/0.53 (step @p177 :rule reordering :premises (@p176) :args ((or @t79 @t85))) % 0.18/0.53 (step @p178 :rule chain_m_resolution :premises (@p177 @p48) :args (@t79 @t86 @t87)) % 0.18/0.53 (step @p179 :rule bool-double-not-elim :args (@t81)) % 0.18/0.53 (step @p180 :rule nary_cong :premises (@p50 @p179) :args ((or @t85 (not @t82)))) % 0.18/0.53 (step @p181 :rule cnf_or_neg :args (@t85 1)) % 0.18/0.53 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 0.18/0.53 (step @p183 :rule reordering :premises (@p182) :args ((or @t81 @t85))) % 0.18/0.53 (step @p184 :rule chain_m_resolution :premises (@p183 @p48) :args (@t81 @t86 @t87)) % 0.18/0.53 (step @p185 :rule bool-double-not-elim :args (@t83)) % 0.18/0.53 (step @p186 :rule nary_cong :premises (@p50 @p185) :args ((or @t85 (not @t84)))) % 0.18/0.53 (step @p187 :rule cnf_or_neg :args (@t85 0)) % 0.18/0.53 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.18/0.53 (step @p189 :rule reordering :premises (@p188) :args ((or @t83 @t85))) % 0.18/0.53 (step @p190 :rule chain_m_resolution :premises (@p189 @p48) :args (@t83 @t86 @t87)) % 0.18/0.53 (step @p191 :rule cnf_or_pos :args (@t113)) % 0.18/0.53 (step @p192 :rule reordering :premises (@p191) :args ((or @t84 @t82 @t80 @t78 @t76 @t66 @t112 (not @t113)))) % 0.18/0.53 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p184 @p178 @p172 @p166 @p160 @p154) :args (@t112 @t114 (@list @t83 @t81 @t79 @t77 @t75 @t65 @t113))) % 0.18/0.53 (step @p194 :rule aci_norm :args ((= (or @t115 @t34) (or @t56 @t55 @t54 @t51 @t50 @t109 @t34)))) % 0.18/0.53 (step @p195 :rule refl :args (@t34)) % 0.18/0.53 (step @p196 :rule aci_norm :args ((= (or @t56 (or @t55 (or @t54 (or @t51 (or @t50 @t109))))) @t115))) % 0.18/0.53 (step @p197 :rule bool-and-de-morgan :args (@t27 @t13 true)) % 0.18/0.53 (step @p198 :rule nary_cong :premises (@p16 @p197) :args ((or @t51 (not (and @t27 @t13))))) % 0.18/0.53 (step @p199 :rule bool-and-de-morgan :args (@t28 @t27 (and @t13))) % 0.18/0.53 (step @p200 :rule trans :premises (@p199 @p198)) % 0.18/0.53 (step @p201 :rule nary_cong :premises (@p28 @p200) :args ((or @t54 (not (and @t28 @t27 @t13))))) % 0.18/0.53 (step @p202 :rule bool-and-de-morgan :args (@t22 @t28 (and @t27 @t13))) % 0.18/0.53 (step @p203 :rule trans :premises (@p202 @p201)) % 0.18/0.53 (step @p204 :rule nary_cong :premises (@p32 @p203) :args ((or @t55 (not (and @t22 @t28 @t27 @t13))))) % 0.18/0.53 (step @p205 :rule bool-and-de-morgan :args (@t29 @t22 (and @t28 @t27 @t13))) % 0.18/0.53 (step @p206 :rule trans :premises (@p205 @p204)) % 0.18/0.53 (step @p207 :rule nary_cong :premises (@p36 @p206) :args ((or @t56 (not (and @t29 @t22 @t28 @t27 @t13))))) % 0.18/0.53 (step @p208 :rule bool-and-de-morgan :args (@t30 @t29 (and @t22 @t28 @t27 @t13))) % 0.18/0.53 (step @p209 :rule trans :premises (@p208 @p207)) % 0.18/0.53 (step @p210 :rule trans :premises (@p209 @p196)) % 0.18/0.53 (step @p211 :rule nary_cong :premises (@p210 @p195) :args ((or (not @t35) @t34))) % 0.18/0.53 (step @p212 :rule trans :premises (@p211 @p194)) % 0.18/0.53 (step @p213 :rule bool-impl-elim :args (@t35 @t34)) % 0.18/0.53 (step @p214 :rule trans :premises (@p213 @p212)) % 0.18/0.53 (step @p215 :rule cong :premises (@p214) :args (@t36)) % 0.18/0.53 (step @p216 :rule eq_resolve :premises (@p7 @p215)) % 0.18/0.53 (step @p217 :rule instantiate :premises (@p216) :args ((@list @t69 @t61 @t60 @t68 @t72))) % 0.18/0.53 (step @p218 :rule bool-impl-elim :args (@t22 @t21)) % 0.18/0.53 (step @p219 :rule cong :premises (@p218) :args (@t23)) % 0.18/0.53 (step @p220 :rule eq_resolve :premises (@p5 @p219)) % 0.18/0.53 (step @p221 :rule instantiate :premises (@p220) :args ((@list @t69 @t72 @t68))) % 0.18/0.53 (step @p222 :rule cnf_or_pos :args (@t117)) % 0.18/0.53 (step @p223 :rule reordering :premises (@p222) :args ((or @t80 @t116 (not @t117)))) % 0.18/0.53 (step @p224 :rule chain_m_resolution :premises (@p223 @p178 @p221) :args (@t116 @t118 (@list @t79 @t117))) % 0.18/0.53 (step @p225 :rule bool-double-not-elim :args (@t70)) % 0.18/0.53 (step @p226 :rule nary_cong :premises (@p50 @p225) :args ((or @t85 (not @t71)))) % 0.18/0.53 (step @p227 :rule cnf_or_neg :args (@t85 6)) % 0.18/0.53 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 0.18/0.53 (step @p229 :rule reordering :premises (@p228) :args ((or @t70 @t85))) % 0.18/0.53 (step @p230 :rule chain_m_resolution :premises (@p229 @p48) :args (@t70 @t86 @t87)) % 0.18/0.53 (step @p231 :rule cnf_or_pos :args (@t122)) % 0.18/0.53 (step @p232 :rule reordering :premises (@p231) :args ((or @t84 @t82 @t74 @t71 @t67 @t121 @t120 (not @t122)))) % 0.18/0.53 (step @p233 :rule chain_m_resolution :premises (@p232 @p190 @p184 @p120 @p230 @p55 @p224 @p217) :args (@t120 @t114 (@list @t83 @t81 @t73 @t70 @t62 @t116 @t122))) % 0.18/0.53 (step @p234 :rule bool-impl-elim :args (@t9 @t8)) % 0.18/0.53 (step @p235 :rule cong :premises (@p234) :args (@t10)) % 0.18/0.53 (step @p236 :rule eq_resolve :premises (@p3 @p235)) % 0.18/0.53 (step @p237 :rule instantiate :premises (@p236) :args ((@list @t69 @t68))) % 0.18/0.53 (step @p238 :rule cnf_or_pos :args (@t124)) % 0.18/0.53 (step @p239 :rule reordering :premises (@p238) :args ((or @t82 @t123 (not @t124)))) % 0.18/0.53 (step @p240 :rule chain_m_resolution :premises (@p239 @p184 @p237) :args (@t123 @t118 (@list @t81 @t124))) % 0.18/0.53 (step @p241 :rule instantiate :premises (@p236) :args ((@list @t69 @t72))) % 0.18/0.53 (step @p242 :rule cnf_or_pos :args (@t126)) % 0.18/0.53 (step @p243 :rule reordering :premises (@p242) :args ((or @t84 @t125 (not @t126)))) % 0.18/0.53 (step @p244 :rule chain_m_resolution :premises (@p243 @p190 @p241) :args (@t125 @t118 (@list @t83 @t126))) % 0.18/0.53 (step @p245 :rule cnf_or_pos :args (@t130)) % 0.18/0.53 (step @p246 :rule reordering :premises (@p245) :args ((or @t129 @t128 @t119 @t111 @t127 (not @t130)))) % 0.18/0.53 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p240 @p233 @p193 @p131) :args (@t127 (@list false false true true false) (@list @t125 @t123 @t119 @t111 @t130))) % 0.18/0.53 (step @p248 :rule symm :premises (@p247)) % 0.18/0.53 (step @p249 :rule refl :args (@t69)) % 0.18/0.53 (step @p250 :rule cong :premises (@p249 @p57 @p248) :args (@t101)) % 0.18/0.53 (step @p251 :rule trans :premises (@p250 @p121)) % 0.18/0.53 (step @p252 :rule true_elim :premises (@p251)) % 0.18/0.53 (step @p253 :rule cnf_or_pos :args (@t106)) % 0.18/0.53 (step @p254 :rule reordering :premises (@p253) :args ((or @t82 @t71 @t105 @t102 (not @t106)))) % 0.18/0.53 (step @p255 :rule chain_m_resolution :premises (@p254 @p184 @p230 @p252 @p114) :args (@t105 (@list false false false false) (@list @t81 @t70 @t101 @t106))) % 0.18/0.53 (step @p256 :rule cong :premises (@p255 @p57) :args ((tptp.greater @t60 @t60))) % 0.18/0.53 (step @p257 :rule symm :premises (@p255)) % 0.18/0.53 (step @p258 :rule cong :premises (@p57 @p257) :args (@t131)) % 0.18/0.53 (step @p259 :rule bool-and-de-morgan :args (@t3 @t5 true)) % 0.18/0.53 (step @p260 :rule cong :premises (@p259) :args (@t6)) % 0.18/0.53 (step @p261 :rule eq_resolve :premises (@p2 @p260)) % 0.18/0.53 (step @p262 :rule instantiate :premises (@p261) :args ((@list @t61 @t60))) % 0.18/0.53 (step @p263 :rule cnf_or_pos :args (@t133)) % 0.18/0.53 (step @p264 :rule reordering :premises (@p263) :args ((or @t67 @t132 (not @t133)))) % 0.18/0.53 (step @p265 :rule chain_m_resolution :premises (@p264 @p55 @p262) :args (@t132 @t118 (@list @t62 @t133))) % 0.18/0.53 (step @p266 :rule false_intro :premises (@p265)) % 0.18/0.53 (step @p267 :rule symm :premises (@p266)) % 0.18/0.53 (step @p268 :rule trans :premises (@p267 @p258 @p256 @p56)) % 0.18/0.53 (step @p269 false :rule eq_resolve :premises (@p268 @p11)) % 0.18/0.53 ) % 0.18/0.53 % SZS output end Proof % 0.18/0.53 % cvc5 exiting %------------------------------------------------------------------------------