%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 06:04:56 AM UTC 2026 % Result : Theorem 0.21s 0.56s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 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 : n019.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 14:14:38 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.56 % SZS status Theorem % 0.21/0.56 % SZS output start Proof % 0.21/0.56 ( % 0.21/0.56 (declare-sort $$unsorted 0) % 0.21/0.56 (declare-const tptp.v800 $$unsorted) % 0.21/0.56 (declare-const tptp.v600 $$unsorted) % 0.21/0.56 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.56 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.21/0.56 (declare-const tptp.v1200 $$unsorted) % 0.21/0.56 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.21/0.56 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.56 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.56 (declare-const tptp.val (-> $$unsorted Bool)) % 0.21/0.56 (declare-const tptp.conflict $$unsorted) % 0.21/0.56 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.56 (declare-const tptp.v0 $$unsorted) % 0.21/0.56 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.56 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.56 (declare-const tptp.v8 $$unsorted) % 0.21/0.56 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.21/0.56 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.56 (declare-const tptp.v32 $$unsorted) % 0.21/0.56 (declare-const tptp.compatible $$unsorted) % 0.21/0.56 (declare-const tptp.v200 $$unsorted) % 0.21/0.56 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.56 (declare-const tptp.unknown $$unsorted) % 0.21/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.21/0.56 (define @t2 () (@list @t1)) % 0.21/0.56 (define @t3 () (@var "Z" $$unsorted)) % 0.21/0.56 (define @t4 () (tptp.less @t1 @t3)) % 0.21/0.56 (define @t5 () (@var "Y" $$unsorted)) % 0.21/0.56 (define @t6 () (tptp.less @t5 @t3)) % 0.21/0.56 (define @t7 () (tptp.less @t1 @t5)) % 0.21/0.56 (define @t8 () (@list @t1 @t5 @t3)) % 0.21/0.56 (define @t9 () (= @t1 @t5)) % 0.21/0.56 (define @t10 () (@list @t1 @t5)) % 0.21/0.56 (define @t11 () (tptp.leq @t1 @t5)) % 0.21/0.56 (define @t12 () (tptp.leq @t5 @t1)) % 0.21/0.56 (define @t13 () (and @t11 @t12)) % 0.21/0.56 (define @t14 () (forall @t10 (=> @t13 @t9))) % 0.21/0.56 (define @t15 () (tptp.leq @t5 @t3)) % 0.21/0.56 (define @t16 () (tptp.leq @t1 @t3)) % 0.21/0.56 (define @t17 () (and @t11 @t15)) % 0.21/0.56 (define @t18 () (forall @t8 (=> @t17 @t16))) % 0.21/0.56 (define @t19 () (@var "B" $$unsorted)) % 0.21/0.56 (define @t20 () (tptp.leq @t1 @t19)) % 0.21/0.56 (define @t21 () (@var "A" $$unsorted)) % 0.21/0.56 (define @t22 () (tptp.leq @t21 @t1)) % 0.21/0.56 (define @t23 () (@list @t1 @t21 @t19)) % 0.21/0.56 (define @t24 () (tptp.less @t21 @t1)) % 0.21/0.56 (define @t25 () (tptp.less @t1 @t19)) % 0.21/0.56 (define @t26 () (@var "I2hi" $$unsorted)) % 0.21/0.56 (define @t27 () (@var "I2lo" $$unsorted)) % 0.21/0.56 (define @t28 () (tptp.in_closed @t1 @t27 @t26)) % 0.21/0.56 (define @t29 () (@var "I1hi" $$unsorted)) % 0.21/0.56 (define @t30 () (@var "I1lo" $$unsorted)) % 0.21/0.56 (define @t31 () (tptp.in_closed @t1 @t30 @t29)) % 0.21/0.56 (define @t32 () (exists @t2 (and @t31 @t28))) % 0.21/0.56 (define @t33 () (@list @t30 @t29 @t27 @t26)) % 0.21/0.56 (define @t34 () (@var "V" $$unsorted)) % 0.21/0.56 (define @t35 () (@var "V2" $$unsorted)) % 0.21/0.56 (define @t36 () (@var "V1" $$unsorted)) % 0.21/0.56 (define @t37 () (tptp.box_verdict @t36 @t35)) % 0.21/0.56 (define @t38 () (= @t37 tptp.conflict)) % 0.21/0.56 (define @t39 () (= @t35 tptp.conflict)) % 0.21/0.56 (define @t40 () (= @t36 tptp.conflict)) % 0.21/0.56 (define @t41 () (tptp.is_verdict @t35)) % 0.21/0.56 (define @t42 () (tptp.is_verdict @t36)) % 0.21/0.56 (define @t43 () (@list @t36 @t35)) % 0.21/0.56 (define @t44 () (= @t37 tptp.compatible)) % 0.21/0.56 (define @t45 () (= @t37 tptp.unknown)) % 0.21/0.56 (define @t46 () (tptp.less tptp.v600 tptp.v1200)) % 0.21/0.56 (define @t47 () (= tptp.v600 tptp.v1200)) % 0.21/0.56 (define @t48 () (tptp.leq tptp.v8 @t3)) % 0.21/0.56 (define @t49 () (tptp.in_lopen @t3 tptp.v0 tptp.v32)) % 0.21/0.56 (define @t50 () (tptp.leq tptp.v200 @t5)) % 0.21/0.56 (define @t51 () (tptp.in_lopen @t5 tptp.v0 tptp.v800)) % 0.21/0.56 (define @t52 () (tptp.leq tptp.v1200 @t1)) % 0.21/0.56 (define @t53 () (tptp.in_lopen @t1 tptp.v0 tptp.v600)) % 0.21/0.56 (define @t54 () (and @t53 @t52 @t51 @t50 @t49 @t48)) % 0.21/0.56 (define @t55 () (exists @t8 @t54)) % 0.21/0.56 (define @t56 () (not @t48)) % 0.21/0.56 (define @t57 () (not @t49)) % 0.21/0.56 (define @t58 () (or @t57 @t56)) % 0.21/0.56 (define @t59 () (not @t50)) % 0.21/0.56 (define @t60 () (not @t51)) % 0.21/0.56 (define @t61 () (or @t60 @t59)) % 0.21/0.56 (define @t62 () (not @t52)) % 0.21/0.56 (define @t63 () (not @t53)) % 0.21/0.56 (define @t64 () (or @t63 @t62)) % 0.21/0.56 (define @t65 () (forall @t2 @t64)) % 0.21/0.56 (define @t66 () (or @t64 @t61 @t58)) % 0.21/0.56 (define @t67 () (or @t63 @t62 @t60 @t59 @t57 @t56)) % 0.21/0.56 (define @t68 () (forall @t8 (not @t54))) % 0.21/0.56 (define @t69 () (not @t68)) % 0.21/0.56 (define @t70 () (@quantifiers_skolemize @t65 0)) % 0.21/0.56 (define @t71 () (tptp.leq tptp.v1200 @t70)) % 0.21/0.56 (define @t72 () (not @t71)) % 0.21/0.56 (define @t73 () (tptp.in_lopen @t70 tptp.v0 tptp.v600)) % 0.21/0.56 (define @t74 () (not @t73)) % 0.21/0.56 (define @t75 () (or @t74 @t72)) % 0.21/0.56 (define @t76 () (@list true)) % 0.21/0.56 (define @t77 () (@list @t75)) % 0.21/0.56 (define @t78 () (tptp.leq @t70 tptp.v600)) % 0.21/0.56 (define @t79 () (and (tptp.less tptp.v0 @t70) @t78)) % 0.21/0.56 (define @t80 () (= @t73 @t79)) % 0.21/0.56 (define @t81 () (@list false false)) % 0.21/0.56 (define @t82 () (@list false)) % 0.21/0.56 (define @t83 () (not @t15)) % 0.21/0.56 (define @t84 () (not @t11)) % 0.21/0.56 (define @t85 () (not @t12)) % 0.21/0.56 (define @t86 () (@list tptp.v600 tptp.v1200)) % 0.21/0.56 (define @t87 () (or @t46 @t47)) % 0.21/0.56 (define @t88 () (tptp.leq tptp.v600 tptp.v1200)) % 0.21/0.56 (define @t89 () (= @t88 @t87)) % 0.21/0.56 (define @t90 () (tptp.leq tptp.v1200 tptp.v600)) % 0.21/0.56 (define @t91 () (not @t90)) % 0.21/0.56 (define @t92 () (not @t88)) % 0.21/0.56 (define @t93 () (or @t92 @t91 @t47)) % 0.21/0.56 (define @t94 () (not @t78)) % 0.21/0.56 (define @t95 () (or @t72 @t94 @t90)) % 0.21/0.56 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.21/0.56 (assume @p2 (forall @t8 (=> (and @t7 @t6) @t4))) % 0.21/0.56 (assume @p3 (forall @t10 (or @t7 @t9 (tptp.less @t5 @t1)))) % 0.21/0.56 (assume @p4 (forall @t10 (= @t11 (or @t7 @t9)))) % 0.21/0.56 (assume @p5 @t14) % 0.21/0.56 (assume @p6 (forall @t10 (=> @t7 @t11))) % 0.21/0.56 (assume @p7 (forall @t8 (=> (and @t11 @t6) @t4))) % 0.21/0.56 (assume @p8 (forall @t8 (=> (and @t7 @t15) @t4))) % 0.21/0.56 (assume @p9 @t18) % 0.21/0.56 (assume @p10 (forall @t23 (= (tptp.in_closed @t1 @t21 @t19) (and @t22 @t20)))) % 0.21/0.56 (assume @p11 (forall @t23 (= (tptp.in_lopen @t1 @t21 @t19) (and @t24 @t20)))) % 0.21/0.56 (assume @p12 (forall @t23 (= (tptp.in_ropen @t1 @t21 @t19) (and @t22 @t25)))) % 0.21/0.56 (assume @p13 (forall @t23 (= (tptp.in_open @t1 @t21 @t19) (and @t24 @t25)))) % 0.21/0.56 (assume @p14 (forall @t33 (= (tptp.axis_conflict @t30 @t29 @t27 @t26) (not @t32)))) % 0.21/0.56 (assume @p15 (forall @t33 (= (tptp.axis_compatible @t30 @t29 @t27 @t26) @t32))) % 0.21/0.56 (assume @p16 (forall @t33 (= (tptp.axis_subsumes @t30 @t29 @t27 @t26) (forall @t2 (=> @t31 @t28))))) % 0.21/0.56 (assume @p17 (tptp.is_verdict tptp.conflict)) % 0.21/0.56 (assume @p18 (tptp.is_verdict tptp.compatible)) % 0.21/0.56 (assume @p19 (tptp.is_verdict tptp.unknown)) % 0.21/0.56 (assume @p20 (not (= tptp.conflict tptp.compatible))) % 0.21/0.56 (assume @p21 (not (= tptp.conflict tptp.unknown))) % 0.21/0.56 (assume @p22 (not (= tptp.compatible tptp.unknown))) % 0.21/0.56 (assume @p23 (forall (@list @t34) (=> (tptp.is_verdict @t34) (or (= @t34 tptp.conflict) (= @t34 tptp.compatible) (= @t34 tptp.unknown))))) % 0.21/0.56 (assume @p24 (forall @t43 (=> (and @t42 @t41 (or @t40 @t39)) @t38))) % 0.21/0.56 (assume @p25 (forall @t43 (=> (and @t42 @t41 (= @t36 tptp.compatible) (= @t35 tptp.compatible)) @t44))) % 0.21/0.56 (assume @p26 (forall @t43 (=> (and @t42 @t41 (or (= @t36 tptp.unknown) (= @t35 tptp.unknown)) (not @t40) (not @t39)) @t45))) % 0.21/0.56 (assume @p27 (forall @t43 (=> (and @t42 @t41) (or @t38 @t44 @t45)))) % 0.21/0.56 (assume @p28 (tptp.val tptp.v0)) % 0.21/0.56 (assume @p29 (tptp.val tptp.v8)) % 0.21/0.56 (assume @p30 (tptp.val tptp.v32)) % 0.21/0.56 (assume @p31 (tptp.val tptp.v200)) % 0.21/0.56 (assume @p32 (tptp.val tptp.v600)) % 0.21/0.56 (assume @p33 (tptp.val tptp.v800)) % 0.21/0.56 (assume @p34 (tptp.val tptp.v1200)) % 0.21/0.56 (assume @p35 (tptp.less tptp.v0 tptp.v8)) % 0.21/0.56 (assume @p36 (tptp.less tptp.v0 tptp.v32)) % 0.21/0.56 (assume @p37 (tptp.less tptp.v0 tptp.v200)) % 0.21/0.56 (assume @p38 (tptp.less tptp.v0 tptp.v600)) % 0.21/0.56 (assume @p39 (tptp.less tptp.v0 tptp.v800)) % 0.21/0.56 (assume @p40 (tptp.less tptp.v0 tptp.v1200)) % 0.21/0.56 (assume @p41 (tptp.less tptp.v8 tptp.v32)) % 0.21/0.56 (assume @p42 (tptp.less tptp.v8 tptp.v200)) % 0.21/0.56 (assume @p43 (tptp.less tptp.v8 tptp.v600)) % 0.21/0.56 (assume @p44 (tptp.less tptp.v8 tptp.v800)) % 0.21/0.56 (assume @p45 (tptp.less tptp.v8 tptp.v1200)) % 0.21/0.56 (assume @p46 (tptp.less tptp.v32 tptp.v200)) % 0.21/0.56 (assume @p47 (tptp.less tptp.v32 tptp.v600)) % 0.21/0.56 (assume @p48 (tptp.less tptp.v32 tptp.v800)) % 0.21/0.56 (assume @p49 (tptp.less tptp.v32 tptp.v1200)) % 0.21/0.56 (assume @p50 (tptp.less tptp.v200 tptp.v600)) % 0.21/0.56 (assume @p51 (tptp.less tptp.v200 tptp.v800)) % 0.21/0.56 (assume @p52 (tptp.less tptp.v200 tptp.v1200)) % 0.21/0.56 (assume @p53 (tptp.less tptp.v600 tptp.v800)) % 0.21/0.56 (assume @p54 @t46) % 0.21/0.56 (assume @p55 (tptp.less tptp.v800 tptp.v1200)) % 0.21/0.56 (assume @p56 (and (not (= tptp.v0 tptp.v8)) (not (= tptp.v0 tptp.v32)) (not (= tptp.v0 tptp.v200)) (not (= tptp.v0 tptp.v600)) (not (= tptp.v0 tptp.v800)) (not (= tptp.v0 tptp.v1200)) (not (= tptp.v8 tptp.v32)) (not (= tptp.v8 tptp.v200)) (not (= tptp.v8 tptp.v600)) (not (= tptp.v8 tptp.v800)) (not (= tptp.v8 tptp.v1200)) (not (= tptp.v32 tptp.v200)) (not (= tptp.v32 tptp.v600)) (not (= tptp.v32 tptp.v800)) (not (= tptp.v32 tptp.v1200)) (not (= tptp.v200 tptp.v600)) (not (= tptp.v200 tptp.v800)) (not (= tptp.v200 tptp.v1200)) (not (= tptp.v600 tptp.v800)) (not @t47) (not (= tptp.v800 tptp.v1200)))) % 0.21/0.56 (assume @p57 (not (not @t55))) % 0.21/0.56 (assume @p58 true) % 0.21/0.56 (step @p59 :rule quant-miniscope-or :args ((= (forall @t8 @t66) (or @t65 (forall (@list @t5) @t61) (forall (@list @t3) @t58))))) % 0.21/0.56 (step @p60 :rule aci_norm :args ((= @t67 @t66))) % 0.21/0.56 (step @p61 :rule cong :premises (@p60) :args ((forall @t8 @t67))) % 0.21/0.56 (step @p62 :rule trans :premises (@p61 @p59)) % 0.21/0.56 (step @p63 :rule aci_norm :args ((= (or @t63 (or @t62 (or @t60 (or @t59 @t58)))) @t67))) % 0.21/0.56 (step @p64 :rule bool-and-de-morgan :args (@t49 @t48 true)) % 0.21/0.56 (step @p65 :rule refl :args (@t59)) % 0.21/0.56 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t59 (not (and @t49 @t48))))) % 0.21/0.56 (step @p67 :rule bool-and-de-morgan :args (@t50 @t49 (and @t48))) % 0.21/0.56 (step @p68 :rule trans :premises (@p67 @p66)) % 0.21/0.56 (step @p69 :rule refl :args (@t60)) % 0.21/0.56 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t60 (not (and @t50 @t49 @t48))))) % 0.21/0.56 (step @p71 :rule bool-and-de-morgan :args (@t51 @t50 (and @t49 @t48))) % 0.21/0.56 (step @p72 :rule trans :premises (@p71 @p70)) % 0.21/0.56 (step @p73 :rule refl :args (@t62)) % 0.21/0.56 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t62 (not (and @t51 @t50 @t49 @t48))))) % 0.21/0.56 (step @p75 :rule bool-and-de-morgan :args (@t52 @t51 (and @t50 @t49 @t48))) % 0.21/0.56 (step @p76 :rule trans :premises (@p75 @p74)) % 0.21/0.56 (step @p77 :rule refl :args (@t63)) % 0.21/0.56 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t63 (not (and @t52 @t51 @t50 @t49 @t48))))) % 0.21/0.56 (step @p79 :rule bool-and-de-morgan :args (@t53 @t52 (and @t51 @t50 @t49 @t48))) % 0.21/0.56 (step @p80 :rule trans :premises (@p79 @p78)) % 0.21/0.56 (step @p81 :rule trans :premises (@p80 @p63)) % 0.21/0.56 (step @p82 :rule cong :premises (@p81) :args (@t68)) % 0.21/0.56 (step @p83 :rule trans :premises (@p82 @p62)) % 0.21/0.56 (step @p84 :rule cong :premises (@p83) :args (@t69)) % 0.21/0.56 (step @p85 :rule exists-elim :args ((= @t55 @t69))) % 0.21/0.56 (step @p86 :rule trans :premises (@p85 @p84)) % 0.21/0.56 (step @p87 :rule bool-double-not-elim :args (@t55)) % 0.21/0.56 (step @p88 :rule trans :premises (@p87 @p86)) % 0.21/0.56 (step @p89 :rule eq_resolve :premises (@p57 @p88)) % 0.21/0.56 (step @p90 :rule not_or_elim :premises (@p89) :args (0)) % 0.21/0.56 (step @p91 :rule skolemize :premises (@p90)) % 0.21/0.56 (step @p92 :rule bool-double-not-elim :args (@t71)) % 0.21/0.56 (step @p93 :rule refl :args (@t75)) % 0.21/0.56 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t75 (not @t72)))) % 0.21/0.56 (step @p95 :rule cnf_or_neg :args (@t75 1)) % 0.21/0.56 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.21/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t71 @t75))) % 0.21/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p91) :args (@t71 @t76 @t77)) % 0.21/0.56 (step @p99 :rule instantiate :premises (@p11) :args ((@list @t70 tptp.v0 tptp.v600))) % 0.21/0.56 (step @p100 :rule bool-double-not-elim :args (@t73)) % 0.21/0.56 (step @p101 :rule nary_cong :premises (@p93 @p100) :args ((or @t75 (not @t74)))) % 0.21/0.56 (step @p102 :rule cnf_or_neg :args (@t75 0)) % 0.21/0.56 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.21/0.56 (step @p104 :rule reordering :premises (@p103) :args ((or @t73 @t75))) % 0.21/0.56 (step @p105 :rule chain_m_resolution :premises (@p104 @p91) :args (@t73 @t76 @t77)) % 0.21/0.56 (step @p106 :rule cnf_equiv_pos1 :args (@t80)) % 0.21/0.56 (step @p107 :rule reordering :premises (@p106) :args ((or @t74 @t79 (not @t80)))) % 0.21/0.56 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p99) :args (@t79 @t81 (@list @t73 @t80))) % 0.21/0.56 (step @p109 :rule cnf_and_pos :args (@t79 1)) % 0.21/0.56 (step @p110 :rule reordering :premises (@p109) :args ((or @t78 (not @t79)))) % 0.21/0.56 (step @p111 :rule chain_m_resolution :premises (@p110 @p108) :args (@t78 @t82 (@list @t79))) % 0.21/0.56 (step @p112 :rule aci_norm :args ((= (or (or @t84 @t83) @t16) (or @t84 @t83 @t16)))) % 0.21/0.56 (step @p113 :rule refl :args (@t16)) % 0.21/0.56 (step @p114 :rule bool-and-de-morgan :args (@t11 @t15 true)) % 0.21/0.56 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t17) @t16))) % 0.21/0.56 (step @p116 :rule trans :premises (@p115 @p112)) % 0.21/0.56 (step @p117 :rule bool-impl-elim :args (@t17 @t16)) % 0.21/0.56 (step @p118 :rule trans :premises (@p117 @p116)) % 0.21/0.56 (step @p119 :rule cong :premises (@p118) :args (@t18)) % 0.21/0.56 (step @p120 :rule eq_resolve :premises (@p9 @p119)) % 0.21/0.56 (step @p121 :rule instantiate :premises (@p120) :args ((@list tptp.v1200 @t70 tptp.v600))) % 0.21/0.56 (step @p122 :rule aci_norm :args ((= (or (or @t84 @t85) @t9) (or @t84 @t85 @t9)))) % 0.21/0.56 (step @p123 :rule refl :args (@t9)) % 0.21/0.56 (step @p124 :rule bool-and-de-morgan :args (@t11 @t12 true)) % 0.21/0.56 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t13) @t9))) % 0.21/0.56 (step @p126 :rule trans :premises (@p125 @p122)) % 0.21/0.56 (step @p127 :rule bool-impl-elim :args (@t13 @t9)) % 0.21/0.56 (step @p128 :rule trans :premises (@p127 @p126)) % 0.21/0.56 (step @p129 :rule cong :premises (@p128) :args (@t14)) % 0.21/0.56 (step @p130 :rule eq_resolve :premises (@p5 @p129)) % 0.21/0.56 (step @p131 :rule instantiate :premises (@p130) :args (@t86)) % 0.21/0.56 (step @p132 :rule instantiate :premises (@p4) :args (@t86)) % 0.21/0.56 (step @p133 :rule cnf_or_neg :args (@t87 0)) % 0.21/0.56 (step @p134 :rule reordering :premises (@p133) :args ((or (not @t46) @t87))) % 0.21/0.56 (step @p135 :rule chain_m_resolution :premises (@p134 @p54) :args (@t87 @t82 (@list @t46))) % 0.21/0.56 (step @p136 :rule cnf_equiv_pos2 :args (@t89)) % 0.21/0.56 (step @p137 :rule reordering :premises (@p136) :args ((or @t88 (not @t87) (not @t89)))) % 0.21/0.56 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p132) :args (@t88 @t81 (@list @t87 @t89))) % 0.21/0.56 (step @p139 :rule and_elim :premises (@p56) :args (19)) % 0.21/0.56 (step @p140 :rule cnf_or_pos :args (@t93)) % 0.21/0.56 (step @p141 :rule reordering :premises (@p140) :args ((or @t47 @t92 @t91 (not @t93)))) % 0.21/0.56 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p138 @p131) :args (@t91 (@list true false false) (@list @t47 @t88 @t93))) % 0.21/0.56 (step @p143 :rule cnf_or_pos :args (@t95)) % 0.21/0.56 (step @p144 :rule reordering :premises (@p143) :args ((or @t72 @t94 @t90 (not @t95)))) % 0.21/0.56 (step @p145 false :rule chain_m_resolution :premises (@p144 @p142 @p121 @p111 @p98) :args (false (@list true false false false) (@list @t90 @t95 @t78 @t71))) % 0.21/0.56 ) % 0.21/0.56 % SZS output end Proof % 0.21/0.56 % cvc5 exiting %------------------------------------------------------------------------------