%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT003+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 06:04:40 AM UTC 2026 % Result : Theorem 0.17s 0.50s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT003+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 % 0.08/0.35 % Computer : n020.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Mon Sep 7 11:35:43 UTC 2026 % 0.08/0.35 % CPUTime : % 0.12/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.17/0.50 % SZS status Theorem % 0.17/0.50 % SZS output start Proof % 0.17/0.50 ( % 0.17/0.50 (declare-sort $$unsorted 0) % 0.17/0.50 (declare-const tptp.survival_chance (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.50 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.17/0.50 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.17/0.50 (declare-const tptp.inertia (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.50 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.50 (define @t1 () (@var "T2" $$unsorted)) % 0.17/0.50 (define @t2 () (@var "X" $$unsorted)) % 0.17/0.50 (define @t3 () (@var "T1" $$unsorted)) % 0.17/0.50 (define @t4 () (tptp.reorganization_free @t2 @t3 @t3)) % 0.17/0.50 (define @t5 () (and @t4 (tptp.reorganization_free @t2 @t1 @t1))) % 0.17/0.50 (define @t6 () (tptp.reorganization_free @t2 @t3 @t1)) % 0.17/0.50 (define @t7 () (forall (@list @t2 @t3 @t1) (=> @t6 @t5))) % 0.17/0.50 (define @t8 () (@var "T" $$unsorted)) % 0.17/0.50 (define @t9 () (@var "I" $$unsorted)) % 0.17/0.50 (define @t10 () (tptp.inertia @t2 @t9 @t8)) % 0.17/0.50 (define @t11 () (@list @t9)) % 0.17/0.50 (define @t12 () (exists @t11 @t10)) % 0.17/0.50 (define @t13 () (tptp.organization @t2 @t8)) % 0.17/0.50 (define @t14 () (=> @t13 @t12)) % 0.17/0.50 (define @t15 () (@list @t2 @t8)) % 0.17/0.50 (define @t16 () (forall @t15 @t14)) % 0.17/0.50 (define @t17 () (@var "P1" $$unsorted)) % 0.17/0.50 (define @t18 () (@var "P2" $$unsorted)) % 0.17/0.50 (define @t19 () (tptp.greater @t18 @t17)) % 0.17/0.50 (define @t20 () (@var "I1" $$unsorted)) % 0.17/0.50 (define @t21 () (@var "I2" $$unsorted)) % 0.17/0.50 (define @t22 () (tptp.greater @t21 @t20)) % 0.17/0.50 (define @t23 () (@var "Y" $$unsorted)) % 0.17/0.50 (define @t24 () (tptp.survival_chance @t23 @t18 @t1)) % 0.17/0.50 (define @t25 () (tptp.survival_chance @t2 @t17 @t3)) % 0.17/0.50 (define @t26 () (tptp.inertia @t23 @t21 @t1)) % 0.17/0.50 (define @t27 () (tptp.inertia @t2 @t20 @t3)) % 0.17/0.50 (define @t28 () (tptp.reorganization_free @t23 @t1 @t1)) % 0.17/0.50 (define @t29 () (tptp.organization @t23 @t1)) % 0.17/0.50 (define @t30 () (tptp.organization @t2 @t3)) % 0.17/0.50 (define @t31 () (and @t30 @t29 @t4 @t28 @t27 @t26 @t25 @t24 @t22)) % 0.17/0.50 (define @t32 () (forall (@list @t2 @t23 @t3 @t1 @t20 @t21 @t17 @t18) (=> @t31 @t19))) % 0.17/0.50 (define @t33 () (tptp.greater @t1 @t3)) % 0.17/0.50 (define @t34 () (tptp.inertia @t2 @t21 @t1)) % 0.17/0.50 (define @t35 () (tptp.organization @t2 @t1)) % 0.17/0.50 (define @t36 () (and @t30 @t35 @t6 @t27 @t34 @t33)) % 0.17/0.50 (define @t37 () (forall (@list @t2 @t20 @t21 @t3 @t1) (=> @t36 @t22))) % 0.17/0.50 (define @t38 () (tptp.survival_chance @t2 @t18 @t1)) % 0.17/0.50 (define @t39 () (and @t30 @t35 @t6 @t25 @t38 @t33)) % 0.17/0.50 (define @t40 () (@list @t2 @t17 @t18 @t3 @t1)) % 0.17/0.50 (define @t41 () (forall @t40 (=> @t39 @t19))) % 0.17/0.50 (define @t42 () (not @t41)) % 0.17/0.50 (define @t43 () (not @t33)) % 0.17/0.50 (define @t44 () (not @t38)) % 0.17/0.50 (define @t45 () (not @t25)) % 0.17/0.50 (define @t46 () (not @t6)) % 0.17/0.50 (define @t47 () (not @t35)) % 0.17/0.50 (define @t48 () (not @t30)) % 0.17/0.50 (define @t49 () (or @t48 @t47 @t46 @t45 @t44 @t43 @t19)) % 0.17/0.50 (define @t50 () (or @t48 @t47 @t46 @t45 @t44 @t43)) % 0.17/0.50 (define @t51 () (forall @t40 @t49)) % 0.17/0.50 (define @t52 () (@quantifiers_skolemize @t51 3)) % 0.17/0.50 (define @t53 () (@quantifiers_skolemize @t51 0)) % 0.17/0.50 (define @t54 () (tptp.organization @t53 @t52)) % 0.17/0.50 (define @t55 () (@quantifiers_skolemize @t51 1)) % 0.17/0.50 (define @t56 () (@quantifiers_skolemize @t51 2)) % 0.17/0.50 (define @t57 () (tptp.greater @t56 @t55)) % 0.17/0.50 (define @t58 () (@quantifiers_skolemize @t51 4)) % 0.17/0.50 (define @t59 () (tptp.greater @t58 @t52)) % 0.17/0.50 (define @t60 () (not @t59)) % 0.17/0.50 (define @t61 () (tptp.survival_chance @t53 @t56 @t58)) % 0.17/0.50 (define @t62 () (not @t61)) % 0.17/0.50 (define @t63 () (tptp.survival_chance @t53 @t55 @t52)) % 0.17/0.50 (define @t64 () (not @t63)) % 0.17/0.50 (define @t65 () (tptp.reorganization_free @t53 @t52 @t58)) % 0.17/0.50 (define @t66 () (not @t65)) % 0.17/0.50 (define @t67 () (tptp.organization @t53 @t58)) % 0.17/0.50 (define @t68 () (not @t67)) % 0.17/0.50 (define @t69 () (not @t54)) % 0.17/0.50 (define @t70 () (or @t69 @t68 @t66 @t64 @t62 @t60 @t57)) % 0.17/0.50 (define @t71 () (@list true)) % 0.17/0.50 (define @t72 () (@list @t70)) % 0.17/0.50 (define @t73 () (not (forall @t11 (not @t10)))) % 0.17/0.50 (define @t74 () (forall @t11 (not (tptp.inertia @t53 @t9 @t52)))) % 0.17/0.50 (define @t75 () (not @t74)) % 0.17/0.50 (define @t76 () (or @t69 @t75)) % 0.17/0.50 (define @t77 () (@list false false)) % 0.17/0.50 (define @t78 () (@quantifiers_skolemize @t74 0)) % 0.17/0.50 (define @t79 () (tptp.inertia @t53 @t78 @t52)) % 0.17/0.50 (define @t80 () (not @t79)) % 0.17/0.50 (define @t81 () (not @t80)) % 0.17/0.50 (define @t82 () (forall @t11 (not (tptp.inertia @t53 @t9 @t58)))) % 0.17/0.51 (define @t83 () (not @t82)) % 0.17/0.51 (define @t84 () (or @t68 @t83)) % 0.17/0.51 (define @t85 () (@quantifiers_skolemize @t82 0)) % 0.17/0.51 (define @t86 () (tptp.inertia @t53 @t85 @t58)) % 0.17/0.51 (define @t87 () (not @t86)) % 0.17/0.51 (define @t88 () (not @t87)) % 0.17/0.51 (define @t89 () (not @t34)) % 0.17/0.51 (define @t90 () (not @t27)) % 0.17/0.51 (define @t91 () (or @t48 @t47 @t46 @t90 @t89 @t43)) % 0.17/0.51 (define @t92 () (not @t22)) % 0.17/0.51 (define @t93 () (not @t24)) % 0.17/0.51 (define @t94 () (not @t26)) % 0.17/0.51 (define @t95 () (not @t28)) % 0.17/0.51 (define @t96 () (not @t4)) % 0.17/0.51 (define @t97 () (not @t29)) % 0.17/0.51 (define @t98 () (or @t48 @t97 @t96 @t95 @t90 @t94 @t45 @t93 @t92)) % 0.17/0.51 (define @t99 () (tptp.reorganization_free @t53 @t58 @t58)) % 0.17/0.51 (define @t100 () (tptp.reorganization_free @t53 @t52 @t52)) % 0.17/0.51 (define @t101 () (and @t100 @t99)) % 0.17/0.51 (define @t102 () (or @t66 @t101)) % 0.17/0.51 (define @t103 () (not @t101)) % 0.17/0.51 (define @t104 () (@list false)) % 0.17/0.51 (define @t105 () (@list @t101)) % 0.17/0.51 (define @t106 () (tptp.greater @t85 @t78)) % 0.17/0.51 (define @t107 () (not @t106)) % 0.17/0.51 (define @t108 () (not @t99)) % 0.17/0.51 (define @t109 () (not @t100)) % 0.17/0.51 (define @t110 () (or @t69 @t68 @t109 @t108 @t80 @t87 @t64 @t62 @t107 @t57)) % 0.17/0.51 (define @t111 () (or @t69 @t68 @t66 @t80 @t87 @t60 @t106)) % 0.17/0.51 (assume @p1 @t7) % 0.17/0.51 (assume @p2 @t16) % 0.17/0.51 (assume @p3 @t32) % 0.17/0.51 (assume @p4 @t37) % 0.17/0.51 (assume @p5 @t42) % 0.17/0.51 (assume @p6 true) % 0.17/0.51 (step @p7 :rule aci_norm :args ((= (or @t50 @t19) @t49))) % 0.17/0.51 (step @p8 :rule refl :args (@t19)) % 0.17/0.51 (step @p9 :rule aci_norm :args ((= (or @t48 (or @t47 (or @t46 (or @t45 (or @t44 @t43))))) @t50))) % 0.17/0.51 (step @p10 :rule bool-and-de-morgan :args (@t38 @t33 true)) % 0.17/0.51 (step @p11 :rule refl :args (@t45)) % 0.17/0.51 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t45 (not (and @t38 @t33))))) % 0.17/0.51 (step @p13 :rule bool-and-de-morgan :args (@t25 @t38 (and @t33))) % 0.17/0.51 (step @p14 :rule trans :premises (@p13 @p12)) % 0.17/0.51 (step @p15 :rule refl :args (@t46)) % 0.17/0.51 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or @t46 (not (and @t25 @t38 @t33))))) % 0.17/0.51 (step @p17 :rule bool-and-de-morgan :args (@t6 @t25 (and @t38 @t33))) % 0.17/0.51 (step @p18 :rule trans :premises (@p17 @p16)) % 0.17/0.51 (step @p19 :rule refl :args (@t47)) % 0.17/0.51 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t47 (not (and @t6 @t25 @t38 @t33))))) % 0.17/0.51 (step @p21 :rule bool-and-de-morgan :args (@t35 @t6 (and @t25 @t38 @t33))) % 0.17/0.51 (step @p22 :rule trans :premises (@p21 @p20)) % 0.17/0.51 (step @p23 :rule refl :args (@t48)) % 0.17/0.51 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t48 (not (and @t35 @t6 @t25 @t38 @t33))))) % 0.17/0.51 (step @p25 :rule bool-and-de-morgan :args (@t30 @t35 (and @t6 @t25 @t38 @t33))) % 0.17/0.51 (step @p26 :rule trans :premises (@p25 @p24)) % 0.17/0.51 (step @p27 :rule trans :premises (@p26 @p9)) % 0.17/0.51 (step @p28 :rule nary_cong :premises (@p27 @p8) :args ((or (not @t39) @t19))) % 0.17/0.51 (step @p29 :rule trans :premises (@p28 @p7)) % 0.17/0.51 (step @p30 :rule bool-impl-elim :args (@t39 @t19)) % 0.17/0.51 (step @p31 :rule trans :premises (@p30 @p29)) % 0.17/0.51 (step @p32 :rule cong :premises (@p31) :args (@t41)) % 0.17/0.51 (step @p33 :rule cong :premises (@p32) :args (@t42)) % 0.17/0.51 (step @p34 :rule eq_resolve :premises (@p5 @p33)) % 0.17/0.51 (step @p35 :rule skolemize :premises (@p34)) % 0.17/0.51 (step @p36 :rule bool-double-not-elim :args (@t54)) % 0.17/0.51 (step @p37 :rule refl :args (@t70)) % 0.17/0.51 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t70 (not @t69)))) % 0.17/0.51 (step @p39 :rule cnf_or_neg :args (@t70 0)) % 0.17/0.51 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.17/0.51 (step @p41 :rule reordering :premises (@p40) :args ((or @t54 @t70))) % 0.17/0.51 (step @p42 :rule chain_m_resolution :premises (@p41 @p35) :args (@t54 @t71 @t72)) % 0.17/0.51 (step @p43 :rule bool-double-not-elim :args (@t67)) % 0.17/0.51 (step @p44 :rule nary_cong :premises (@p37 @p43) :args ((or @t70 (not @t68)))) % 0.17/0.51 (step @p45 :rule cnf_or_neg :args (@t70 1)) % 0.17/0.51 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.17/0.51 (step @p47 :rule reordering :premises (@p46) :args ((or @t67 @t70))) % 0.17/0.51 (step @p48 :rule chain_m_resolution :premises (@p47 @p35) :args (@t67 @t71 @t72)) % 0.17/0.51 (step @p49 :rule bool-double-not-elim :args (@t65)) % 0.17/0.51 (step @p50 :rule nary_cong :premises (@p37 @p49) :args ((or @t70 (not @t66)))) % 0.17/0.51 (step @p51 :rule cnf_or_neg :args (@t70 2)) % 0.17/0.51 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.17/0.51 (step @p53 :rule reordering :premises (@p52) :args ((or @t65 @t70))) % 0.17/0.51 (step @p54 :rule chain_m_resolution :premises (@p53 @p35) :args (@t65 @t71 @t72)) % 0.17/0.51 (step @p55 :rule bool-double-not-elim :args (@t59)) % 0.17/0.51 (step @p56 :rule nary_cong :premises (@p37 @p55) :args ((or @t70 (not @t60)))) % 0.17/0.51 (step @p57 :rule cnf_or_neg :args (@t70 5)) % 0.17/0.51 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.17/0.51 (step @p59 :rule reordering :premises (@p58) :args ((or @t59 @t70))) % 0.17/0.51 (step @p60 :rule chain_m_resolution :premises (@p59 @p35) :args (@t59 @t71 @t72)) % 0.17/0.51 (step @p61 :rule bool-impl-elim :args (@t13 @t73)) % 0.17/0.51 (step @p62 :rule cong :premises (@p61) :args ((forall @t15 (=> @t13 @t73)))) % 0.17/0.51 (step @p63 :rule exists-elim :args ((= @t12 @t73))) % 0.17/0.51 (step @p64 :rule refl :args (@t13)) % 0.17/0.51 (step @p65 :rule cong :premises (@p64 @p63) :args (@t14)) % 0.17/0.51 (step @p66 :rule cong :premises (@p65) :args (@t16)) % 0.17/0.51 (step @p67 :rule trans :premises (@p66 @p62)) % 0.17/0.51 (step @p68 :rule eq_resolve :premises (@p2 @p67)) % 0.17/0.51 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t53 @t52))) % 0.17/0.51 (step @p70 :rule cnf_or_pos :args (@t76)) % 0.17/0.51 (step @p71 :rule reordering :premises (@p70) :args ((or @t69 @t75 (not @t76)))) % 0.17/0.51 (step @p72 :rule chain_m_resolution :premises (@p71 @p42 @p69) :args (@t75 @t77 (@list @t54 @t76))) % 0.17/0.51 (step @p73 :rule refl :args (@t79)) % 0.17/0.51 (step @p74 :rule bool-double-not-elim :args (@t74)) % 0.17/0.51 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t75) @t79))) % 0.17/0.51 (step @p76 :rule bool-double-not-elim :args (@t79)) % 0.17/0.51 (step @p77 :rule refl :args (@t75)) % 0.17/0.51 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t75 @t81))) % 0.17/0.51 (assume-push @p199 @t75) % 0.17/0.51 (step @p80 :rule skolemize :premises (@p72)) % 0.17/0.51 (step-pop @p200 :rule scope :premises (@p80)) % 0.17/0.51 (step @p81 :rule process_scope :premises (@p200) :args (@t81)) % 0.17/0.51 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.17/0.51 (step @p84 :rule implies_elim :premises (@p83)) % 0.17/0.51 (step @p85 :rule eq_resolve :premises (@p84 @p75)) % 0.17/0.51 (step @p86 :rule chain_m_resolution :premises (@p85 @p72) :args (@t79 @t71 (@list @t74))) % 0.17/0.51 (step @p87 :rule instantiate :premises (@p68) :args ((@list @t53 @t58))) % 0.17/0.51 (step @p88 :rule cnf_or_pos :args (@t84)) % 0.17/0.51 (step @p89 :rule reordering :premises (@p88) :args ((or @t68 @t83 (not @t84)))) % 0.17/0.51 (step @p90 :rule chain_m_resolution :premises (@p89 @p48 @p87) :args (@t83 @t77 (@list @t67 @t84))) % 0.17/0.51 (step @p91 :rule refl :args (@t86)) % 0.17/0.51 (step @p92 :rule bool-double-not-elim :args (@t82)) % 0.17/0.51 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or (not @t83) @t86))) % 0.17/0.51 (step @p94 :rule bool-double-not-elim :args (@t86)) % 0.17/0.51 (step @p95 :rule refl :args (@t83)) % 0.17/0.51 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t83 @t88))) % 0.17/0.51 (assume-push @p201 @t83) % 0.17/0.51 (step @p98 :rule skolemize :premises (@p90)) % 0.17/0.51 (step-pop @p202 :rule scope :premises (@p98)) % 0.17/0.51 (step @p99 :rule process_scope :premises (@p202) :args (@t88)) % 0.17/0.51 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.17/0.51 (step @p102 :rule implies_elim :premises (@p101)) % 0.17/0.51 (step @p103 :rule eq_resolve :premises (@p102 @p93)) % 0.17/0.51 (step @p104 :rule chain_m_resolution :premises (@p103 @p90) :args (@t86 @t71 (@list @t82))) % 0.17/0.51 (step @p105 :rule aci_norm :args ((= (or @t91 @t22) (or @t48 @t47 @t46 @t90 @t89 @t43 @t22)))) % 0.17/0.51 (step @p106 :rule refl :args (@t22)) % 0.17/0.51 (step @p107 :rule aci_norm :args ((= (or @t48 (or @t47 (or @t46 (or @t90 (or @t89 @t43))))) @t91))) % 0.17/0.51 (step @p108 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 0.17/0.51 (step @p109 :rule refl :args (@t90)) % 0.17/0.51 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t90 (not (and @t34 @t33))))) % 0.17/0.51 (step @p111 :rule bool-and-de-morgan :args (@t27 @t34 (and @t33))) % 0.17/0.51 (step @p112 :rule trans :premises (@p111 @p110)) % 0.17/0.51 (step @p113 :rule nary_cong :premises (@p15 @p112) :args ((or @t46 (not (and @t27 @t34 @t33))))) % 0.17/0.51 (step @p114 :rule bool-and-de-morgan :args (@t6 @t27 (and @t34 @t33))) % 0.17/0.51 (step @p115 :rule trans :premises (@p114 @p113)) % 0.17/0.51 (step @p116 :rule nary_cong :premises (@p19 @p115) :args ((or @t47 (not (and @t6 @t27 @t34 @t33))))) % 0.17/0.51 (step @p117 :rule bool-and-de-morgan :args (@t35 @t6 (and @t27 @t34 @t33))) % 0.17/0.51 (step @p118 :rule trans :premises (@p117 @p116)) % 0.17/0.51 (step @p119 :rule nary_cong :premises (@p23 @p118) :args ((or @t48 (not (and @t35 @t6 @t27 @t34 @t33))))) % 0.17/0.51 (step @p120 :rule bool-and-de-morgan :args (@t30 @t35 (and @t6 @t27 @t34 @t33))) % 0.17/0.51 (step @p121 :rule trans :premises (@p120 @p119)) % 0.17/0.51 (step @p122 :rule trans :premises (@p121 @p107)) % 0.17/0.51 (step @p123 :rule nary_cong :premises (@p122 @p106) :args ((or (not @t36) @t22))) % 0.17/0.51 (step @p124 :rule trans :premises (@p123 @p105)) % 0.17/0.51 (step @p125 :rule bool-impl-elim :args (@t36 @t22)) % 0.17/0.51 (step @p126 :rule trans :premises (@p125 @p124)) % 0.17/0.51 (step @p127 :rule cong :premises (@p126) :args (@t37)) % 0.17/0.51 (step @p128 :rule eq_resolve :premises (@p4 @p127)) % 0.17/0.51 (step @p129 :rule instantiate :premises (@p128) :args ((@list @t53 @t78 @t85 @t52 @t58))) % 0.17/0.51 (step @p130 :rule aci_norm :args ((= (or @t98 @t19) (or @t48 @t97 @t96 @t95 @t90 @t94 @t45 @t93 @t92 @t19)))) % 0.17/0.51 (step @p131 :rule aci_norm :args ((= (or @t48 (or @t97 (or @t96 (or @t95 (or @t90 (or @t94 (or @t45 (or @t93 @t92)))))))) @t98))) % 0.17/0.51 (step @p132 :rule bool-and-de-morgan :args (@t24 @t22 true)) % 0.17/0.51 (step @p133 :rule nary_cong :premises (@p11 @p132) :args ((or @t45 (not (and @t24 @t22))))) % 0.17/0.51 (step @p134 :rule bool-and-de-morgan :args (@t25 @t24 (and @t22))) % 0.17/0.51 (step @p135 :rule trans :premises (@p134 @p133)) % 0.17/0.51 (step @p136 :rule refl :args (@t94)) % 0.17/0.51 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t94 (not (and @t25 @t24 @t22))))) % 0.17/0.51 (step @p138 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24 @t22))) % 0.17/0.51 (step @p139 :rule trans :premises (@p138 @p137)) % 0.17/0.51 (step @p140 :rule nary_cong :premises (@p109 @p139) :args ((or @t90 (not (and @t26 @t25 @t24 @t22))))) % 0.17/0.51 (step @p141 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t24 @t22))) % 0.17/0.51 (step @p142 :rule trans :premises (@p141 @p140)) % 0.17/0.51 (step @p143 :rule refl :args (@t95)) % 0.17/0.51 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t95 (not (and @t27 @t26 @t25 @t24 @t22))))) % 0.17/0.51 (step @p145 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25 @t24 @t22))) % 0.17/0.51 (step @p146 :rule trans :premises (@p145 @p144)) % 0.17/0.51 (step @p147 :rule refl :args (@t96)) % 0.17/0.51 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t96 (not (and @t28 @t27 @t26 @t25 @t24 @t22))))) % 0.17/0.51 (step @p149 :rule bool-and-de-morgan :args (@t4 @t28 (and @t27 @t26 @t25 @t24 @t22))) % 0.17/0.51 (step @p150 :rule trans :premises (@p149 @p148)) % 0.17/0.51 (step @p151 :rule refl :args (@t97)) % 0.17/0.51 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t97 (not (and @t4 @t28 @t27 @t26 @t25 @t24 @t22))))) % 0.17/0.51 (step @p153 :rule bool-and-de-morgan :args (@t29 @t4 (and @t28 @t27 @t26 @t25 @t24 @t22))) % 0.17/0.51 (step @p154 :rule trans :premises (@p153 @p152)) % 0.17/0.51 (step @p155 :rule nary_cong :premises (@p23 @p154) :args ((or @t48 (not (and @t29 @t4 @t28 @t27 @t26 @t25 @t24 @t22))))) % 0.17/0.51 (step @p156 :rule bool-and-de-morgan :args (@t30 @t29 (and @t4 @t28 @t27 @t26 @t25 @t24 @t22))) % 0.17/0.51 (step @p157 :rule trans :premises (@p156 @p155)) % 0.17/0.51 (step @p158 :rule trans :premises (@p157 @p131)) % 0.17/0.51 (step @p159 :rule nary_cong :premises (@p158 @p8) :args ((or (not @t31) @t19))) % 0.17/0.51 (step @p160 :rule trans :premises (@p159 @p130)) % 0.17/0.51 (step @p161 :rule bool-impl-elim :args (@t31 @t19)) % 0.17/0.51 (step @p162 :rule trans :premises (@p161 @p160)) % 0.17/0.51 (step @p163 :rule cong :premises (@p162) :args (@t32)) % 0.17/0.51 (step @p164 :rule eq_resolve :premises (@p3 @p163)) % 0.17/0.51 (step @p165 :rule instantiate :premises (@p164) :args ((@list @t53 @t53 @t52 @t58 @t78 @t85 @t55 @t56))) % 0.17/0.51 (step @p166 :rule bool-impl-elim :args (@t6 @t5)) % 0.17/0.51 (step @p167 :rule cong :premises (@p166) :args (@t7)) % 0.17/0.51 (step @p168 :rule eq_resolve :premises (@p1 @p167)) % 0.17/0.51 (step @p169 :rule instantiate :premises (@p168) :args ((@list @t53 @t52 @t58))) % 0.17/0.51 (step @p170 :rule cnf_or_pos :args (@t102)) % 0.17/0.51 (step @p171 :rule reordering :premises (@p170) :args ((or @t66 @t101 (not @t102)))) % 0.17/0.51 (step @p172 :rule chain_m_resolution :premises (@p171 @p54 @p169) :args (@t101 @t77 (@list @t65 @t102))) % 0.17/0.51 (step @p173 :rule cnf_and_pos :args (@t101 1)) % 0.17/0.51 (step @p174 :rule reordering :premises (@p173) :args ((or @t99 @t103))) % 0.17/0.51 (step @p175 :rule chain_m_resolution :premises (@p174 @p172) :args (@t99 @t104 @t105)) % 0.17/0.51 (step @p176 :rule cnf_and_pos :args (@t101 0)) % 0.17/0.51 (step @p177 :rule reordering :premises (@p176) :args ((or @t100 @t103))) % 0.17/0.51 (step @p178 :rule chain_m_resolution :premises (@p177 @p172) :args (@t100 @t104 @t105)) % 0.17/0.51 (step @p179 :rule cnf_or_neg :args (@t70 6)) % 0.17/0.51 (step @p180 :rule chain_m_resolution :premises (@p179 @p35) :args ((not @t57) @t71 @t72)) % 0.17/0.51 (step @p181 :rule bool-double-not-elim :args (@t61)) % 0.17/0.51 (step @p182 :rule nary_cong :premises (@p37 @p181) :args ((or @t70 (not @t62)))) % 0.17/0.51 (step @p183 :rule cnf_or_neg :args (@t70 4)) % 0.17/0.51 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 0.17/0.51 (step @p185 :rule reordering :premises (@p184) :args ((or @t61 @t70))) % 0.17/0.51 (step @p186 :rule chain_m_resolution :premises (@p185 @p35) :args (@t61 @t71 @t72)) % 0.17/0.51 (step @p187 :rule bool-double-not-elim :args (@t63)) % 0.17/0.51 (step @p188 :rule nary_cong :premises (@p37 @p187) :args ((or @t70 (not @t64)))) % 0.17/0.51 (step @p189 :rule cnf_or_neg :args (@t70 3)) % 0.17/0.51 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 0.17/0.51 (step @p191 :rule reordering :premises (@p190) :args ((or @t63 @t70))) % 0.17/0.51 (step @p192 :rule chain_m_resolution :premises (@p191 @p35) :args (@t63 @t71 @t72)) % 0.17/0.51 (step @p193 :rule cnf_or_pos :args (@t110)) % 0.17/0.51 (step @p194 :rule reordering :premises (@p193) :args ((or @t69 @t68 @t64 @t62 @t57 @t109 @t108 @t80 @t87 @t107 (not @t110)))) % 0.17/0.51 (step @p195 :rule chain_m_resolution :premises (@p194 @p42 @p48 @p192 @p186 @p180 @p178 @p175 @p86 @p104 @p165) :args (@t107 (@list false false false false true false false false false false) (@list @t54 @t67 @t63 @t61 @t57 @t100 @t99 @t79 @t86 @t110))) % 0.17/0.51 (step @p196 :rule cnf_or_pos :args (@t111)) % 0.17/0.51 (step @p197 :rule reordering :premises (@p196) :args ((or @t69 @t68 @t66 @t60 @t80 @t87 @t106 (not @t111)))) % 0.17/0.51 (step @p198 false :rule chain_m_resolution :premises (@p197 @p195 @p129 @p104 @p86 @p60 @p54 @p48 @p42) :args (false (@list true false false false false false false false) (@list @t106 @t111 @t86 @t79 @t59 @t65 @t67 @t54))) % 0.17/0.51 ) % 0.17/0.51 % SZS output end Proof % 0.17/0.51 % cvc5 exiting %------------------------------------------------------------------------------