%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT092+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 : n013.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 06:04:58 AM UTC 2026 % Result : Theorem 0.20s 0.52s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT092+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 % 0.10/0.36 % Computer : n013.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 14:24:20 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/0.52 % SZS status Theorem % 0.20/0.52 % SZS output start Proof % 0.20/0.52 ( % 0.20/0.52 (declare-sort $$unsorted 0) % 0.20/0.52 (declare-const tptp.v1200 $$unsorted) % 0.20/0.52 (declare-const tptp.v800 $$unsorted) % 0.20/0.52 (declare-const tptp.v0 $$unsorted) % 0.20/0.52 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.52 (declare-const tptp.unknown $$unsorted) % 0.20/0.52 (declare-const tptp.compatible $$unsorted) % 0.20/0.52 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.completion_compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.val (-> $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.completion_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.v400 $$unsorted) % 0.20/0.52 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.conflict $$unsorted) % 0.20/0.52 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.52 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.20/0.52 (define @t1 () (@var "X" $$unsorted)) % 0.20/0.52 (define @t2 () (@list @t1)) % 0.20/0.52 (define @t3 () (@var "Z" $$unsorted)) % 0.20/0.52 (define @t4 () (tptp.less @t1 @t3)) % 0.20/0.52 (define @t5 () (@var "Y" $$unsorted)) % 0.20/0.52 (define @t6 () (tptp.less @t5 @t3)) % 0.20/0.52 (define @t7 () (tptp.less @t1 @t5)) % 0.20/0.52 (define @t8 () (and @t7 @t6)) % 0.20/0.52 (define @t9 () (@list @t1 @t5 @t3)) % 0.20/0.52 (define @t10 () (forall @t9 (=> @t8 @t4))) % 0.20/0.52 (define @t11 () (= @t1 @t5)) % 0.20/0.52 (define @t12 () (@list @t1 @t5)) % 0.20/0.52 (define @t13 () (tptp.leq @t1 @t5)) % 0.20/0.52 (define @t14 () (forall @t12 (=> @t7 @t13))) % 0.20/0.52 (define @t15 () (tptp.leq @t5 @t3)) % 0.20/0.52 (define @t16 () (@var "SupD" $$unsorted)) % 0.20/0.52 (define @t17 () (@var "InfD" $$unsorted)) % 0.20/0.52 (define @t18 () (@var "V" $$unsorted)) % 0.20/0.52 (define @t19 () (tptp.leq @t18 @t16)) % 0.20/0.52 (define @t20 () (tptp.leq @t17 @t18)) % 0.20/0.52 (define @t21 () (@var "U" $$unsorted)) % 0.20/0.52 (define @t22 () (tptp.completion_conflict @t21 @t18 @t17 @t16)) % 0.20/0.52 (define @t23 () (tptp.less @t21 @t18)) % 0.20/0.52 (define @t24 () (tptp.leq @t21 @t16)) % 0.20/0.52 (define @t25 () (tptp.leq @t17 @t21)) % 0.20/0.52 (define @t26 () (@list @t21 @t18 @t17 @t16)) % 0.20/0.52 (define @t27 () (and @t25 @t24 @t23 @t19)) % 0.20/0.52 (define @t28 () (forall @t26 (=> @t27 @t22))) % 0.20/0.52 (define @t29 () (@var "A2hi" $$unsorted)) % 0.20/0.52 (define @t30 () (@var "A2lo" $$unsorted)) % 0.20/0.52 (define @t31 () (@var "A1hi" $$unsorted)) % 0.20/0.52 (define @t32 () (@var "A1lo" $$unsorted)) % 0.20/0.52 (define @t33 () (@var "A1phi" $$unsorted)) % 0.20/0.52 (define @t34 () (@var "A1plo" $$unsorted)) % 0.20/0.52 (define @t35 () (@var "B" $$unsorted)) % 0.20/0.52 (define @t36 () (tptp.leq @t1 @t35)) % 0.20/0.52 (define @t37 () (@var "A" $$unsorted)) % 0.20/0.52 (define @t38 () (tptp.leq @t37 @t1)) % 0.20/0.52 (define @t39 () (@list @t1 @t37 @t35)) % 0.20/0.52 (define @t40 () (tptp.less @t37 @t1)) % 0.20/0.52 (define @t41 () (tptp.less @t1 @t35)) % 0.20/0.52 (define @t42 () (@var "I2hi" $$unsorted)) % 0.20/0.52 (define @t43 () (@var "I2lo" $$unsorted)) % 0.20/0.52 (define @t44 () (tptp.in_closed @t1 @t43 @t42)) % 0.20/0.52 (define @t45 () (@var "I1hi" $$unsorted)) % 0.20/0.52 (define @t46 () (@var "I1lo" $$unsorted)) % 0.20/0.52 (define @t47 () (tptp.in_closed @t1 @t46 @t45)) % 0.20/0.52 (define @t48 () (exists @t2 (and @t47 @t44))) % 0.20/0.52 (define @t49 () (@list @t46 @t45 @t43 @t42)) % 0.20/0.52 (define @t50 () (@var "V2" $$unsorted)) % 0.20/0.52 (define @t51 () (@var "V1" $$unsorted)) % 0.20/0.52 (define @t52 () (tptp.box_verdict @t51 @t50)) % 0.20/0.52 (define @t53 () (= @t52 tptp.conflict)) % 0.20/0.52 (define @t54 () (= @t50 tptp.conflict)) % 0.20/0.52 (define @t55 () (= @t51 tptp.conflict)) % 0.20/0.52 (define @t56 () (tptp.is_verdict @t50)) % 0.20/0.52 (define @t57 () (tptp.is_verdict @t51)) % 0.20/0.52 (define @t58 () (@list @t51 @t50)) % 0.20/0.52 (define @t59 () (= @t52 tptp.compatible)) % 0.20/0.52 (define @t60 () (= @t52 tptp.unknown)) % 0.20/0.52 (define @t61 () (tptp.less tptp.v0 tptp.v400)) % 0.20/0.52 (define @t62 () (tptp.less tptp.v400 tptp.v800)) % 0.20/0.52 (define @t63 () (tptp.less tptp.v800 tptp.v1200)) % 0.20/0.52 (define @t64 () (= tptp.v800 tptp.v1200)) % 0.20/0.52 (define @t65 () (= tptp.v0 tptp.v400)) % 0.20/0.52 (define @t66 () (tptp.completion_conflict tptp.v400 tptp.v800 tptp.v0 tptp.v1200)) % 0.20/0.52 (define @t67 () (not @t6)) % 0.20/0.52 (define @t68 () (not @t7)) % 0.20/0.52 (define @t69 () (tptp.less tptp.v400 tptp.v1200)) % 0.20/0.52 (define @t70 () (not @t63)) % 0.20/0.52 (define @t71 () (not @t62)) % 0.20/0.52 (define @t72 () (or @t71 @t70 @t69)) % 0.20/0.52 (define @t73 () (not @t19)) % 0.20/0.52 (define @t74 () (not @t23)) % 0.20/0.52 (define @t75 () (not @t24)) % 0.20/0.52 (define @t76 () (not @t25)) % 0.20/0.52 (define @t77 () (or @t76 @t75 @t74 @t73)) % 0.20/0.52 (define @t78 () (or @t63 @t64)) % 0.20/0.52 (define @t79 () (@list false)) % 0.20/0.52 (define @t80 () (tptp.leq tptp.v800 tptp.v1200)) % 0.20/0.52 (define @t81 () (= @t80 @t78)) % 0.20/0.52 (define @t82 () (@list false false)) % 0.20/0.52 (define @t83 () (or @t61 @t65)) % 0.20/0.52 (define @t84 () (tptp.leq tptp.v0 tptp.v400)) % 0.20/0.52 (define @t85 () (= @t84 @t83)) % 0.20/0.52 (define @t86 () (not @t80)) % 0.20/0.52 (define @t87 () (tptp.leq tptp.v400 tptp.v1200)) % 0.20/0.52 (define @t88 () (not @t87)) % 0.20/0.52 (define @t89 () (not @t84)) % 0.20/0.52 (define @t90 () (or @t89 @t88 @t71 @t86 @t66)) % 0.20/0.52 (define @t91 () (not @t69)) % 0.20/0.52 (define @t92 () (or @t91 @t87)) % 0.20/0.52 (define @t93 () (not @t92)) % 0.20/0.52 (define @t94 () (@list true false)) % 0.20/0.52 (define @t95 () (forall @t12 (or @t68 @t13))) % 0.20/0.52 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.20/0.52 (assume @p2 @t10) % 0.20/0.52 (assume @p3 (forall @t12 (or @t7 @t11 (tptp.less @t5 @t1)))) % 0.20/0.52 (assume @p4 (forall @t12 (= @t13 (or @t7 @t11)))) % 0.20/0.52 (assume @p5 (forall @t12 (=> (and @t13 (tptp.leq @t5 @t1)) @t11))) % 0.20/0.52 (assume @p6 @t14) % 0.20/0.52 (assume @p7 (forall @t9 (=> (and @t13 @t6) @t4))) % 0.20/0.52 (assume @p8 (forall @t9 (=> (and @t7 @t15) @t4))) % 0.20/0.52 (assume @p9 (forall @t9 (=> (and @t13 @t15) (tptp.leq @t1 @t3)))) % 0.20/0.52 (assume @p10 (forall (@list @t18 @t17 @t16) (=> (and @t20 @t19) (tptp.completion_compatible @t18 @t17 @t16)))) % 0.20/0.52 (assume @p11 (forall @t26 (=> (and @t25 @t24 @t20 @t19 @t23) @t22))) % 0.20/0.52 (assume @p12 (forall @t26 (=> @t27 (tptp.completion_compatible @t21 @t17 @t16)))) % 0.20/0.52 (assume @p13 @t28) % 0.20/0.52 (assume @p14 (forall (@list @t32 @t31 @t34 @t33 @t30 @t29) (=> (and (tptp.axis_subsumes @t32 @t31 @t34 @t33) (tptp.axis_conflict @t34 @t33 @t30 @t29)) (tptp.axis_conflict @t32 @t31 @t30 @t29)))) % 0.20/0.52 (assume @p15 (forall (@list @t32 @t31 @t30 @t29) (=> (tptp.axis_subsumes @t32 @t31 @t30 @t29) (forall @t2 (=> (tptp.in_closed @t1 @t32 @t31) (tptp.in_closed @t1 @t30 @t29)))))) % 0.20/0.52 (assume @p16 (forall @t39 (= (tptp.in_closed @t1 @t37 @t35) (and @t38 @t36)))) % 0.20/0.52 (assume @p17 (forall @t39 (= (tptp.in_lopen @t1 @t37 @t35) (and @t40 @t36)))) % 0.20/0.52 (assume @p18 (forall @t39 (= (tptp.in_ropen @t1 @t37 @t35) (and @t38 @t41)))) % 0.20/0.52 (assume @p19 (forall @t39 (= (tptp.in_open @t1 @t37 @t35) (and @t40 @t41)))) % 0.20/0.52 (assume @p20 (forall @t49 (= (tptp.axis_conflict @t46 @t45 @t43 @t42) (not @t48)))) % 0.20/0.52 (assume @p21 (forall @t49 (= (tptp.axis_compatible @t46 @t45 @t43 @t42) @t48))) % 0.20/0.52 (assume @p22 (forall @t49 (= (tptp.axis_subsumes @t46 @t45 @t43 @t42) (forall @t2 (=> @t47 @t44))))) % 0.20/0.52 (assume @p23 (tptp.is_verdict tptp.conflict)) % 0.20/0.52 (assume @p24 (tptp.is_verdict tptp.compatible)) % 0.20/0.52 (assume @p25 (tptp.is_verdict tptp.unknown)) % 0.20/0.52 (assume @p26 (not (= tptp.conflict tptp.compatible))) % 0.20/0.52 (assume @p27 (not (= tptp.conflict tptp.unknown))) % 0.20/0.52 (assume @p28 (not (= tptp.compatible tptp.unknown))) % 0.20/0.52 (assume @p29 (forall (@list @t18) (=> (tptp.is_verdict @t18) (or (= @t18 tptp.conflict) (= @t18 tptp.compatible) (= @t18 tptp.unknown))))) % 0.20/0.52 (assume @p30 (forall @t58 (=> (and @t57 @t56 (or @t55 @t54)) @t53))) % 0.20/0.52 (assume @p31 (forall @t58 (=> (and @t57 @t56 (= @t51 tptp.compatible) (= @t50 tptp.compatible)) @t59))) % 0.20/0.52 (assume @p32 (forall @t58 (=> (and @t57 @t56 (or (= @t51 tptp.unknown) (= @t50 tptp.unknown)) (not @t55) (not @t54)) @t60))) % 0.20/0.52 (assume @p33 (forall @t58 (=> (and @t57 @t56) (or @t53 @t59 @t60)))) % 0.20/0.52 (assume @p34 (tptp.val tptp.v0)) % 0.20/0.52 (assume @p35 (tptp.val tptp.v400)) % 0.20/0.52 (assume @p36 (tptp.val tptp.v800)) % 0.20/0.52 (assume @p37 (tptp.val tptp.v1200)) % 0.20/0.52 (assume @p38 @t61) % 0.20/0.52 (assume @p39 @t62) % 0.20/0.52 (assume @p40 @t63) % 0.20/0.52 (assume @p41 (and (not @t65) (not (= tptp.v0 tptp.v800)) (not (= tptp.v0 tptp.v1200)) (not (= tptp.v400 tptp.v800)) (not (= tptp.v400 tptp.v1200)) (not @t64))) % 0.20/0.52 (assume @p42 (not @t66)) % 0.20/0.52 (assume @p43 true) % 0.20/0.52 (step @p44 :rule bool-impl-elim :args (@t7 @t13)) % 0.20/0.52 (step @p45 :rule cong :premises (@p44) :args (@t14)) % 0.20/0.52 (step @p46 :rule eq_resolve :premises (@p6 @p45)) % 0.20/0.53 (step @p47 :rule aci_norm :args ((= (or (or @t68 @t67) @t4) (or @t68 @t67 @t4)))) % 0.20/0.53 (step @p48 :rule refl :args (@t4)) % 0.20/0.53 (step @p49 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.20/0.53 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t8) @t4))) % 0.20/0.53 (step @p51 :rule trans :premises (@p50 @p47)) % 0.20/0.53 (step @p52 :rule bool-impl-elim :args (@t8 @t4)) % 0.20/0.53 (step @p53 :rule trans :premises (@p52 @p51)) % 0.20/0.53 (step @p54 :rule cong :premises (@p53) :args (@t10)) % 0.20/0.53 (step @p55 :rule eq_resolve :premises (@p2 @p54)) % 0.20/0.53 (step @p56 :rule instantiate :premises (@p55) :args ((@list tptp.v400 tptp.v800 tptp.v1200))) % 0.20/0.53 (step @p57 :rule cnf_or_pos :args (@t72)) % 0.20/0.53 (step @p58 :rule reordering :premises (@p57) :args ((or @t71 @t70 @t69 (not @t72)))) % 0.20/0.53 (step @p59 :rule chain_m_resolution :premises (@p58 @p39 @p40 @p56) :args (@t69 (@list false false false) (@list @t62 @t63 @t72))) % 0.20/0.53 (step @p60 :rule aci_norm :args ((= (or @t77 @t22) (or @t76 @t75 @t74 @t73 @t22)))) % 0.20/0.53 (step @p61 :rule refl :args (@t22)) % 0.20/0.53 (step @p62 :rule aci_norm :args ((= (or @t76 (or @t75 (or @t74 @t73))) @t77))) % 0.20/0.53 (step @p63 :rule bool-and-de-morgan :args (@t23 @t19 true)) % 0.20/0.53 (step @p64 :rule refl :args (@t75)) % 0.20/0.53 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t75 (not (and @t23 @t19))))) % 0.20/0.53 (step @p66 :rule bool-and-de-morgan :args (@t24 @t23 (and @t19))) % 0.20/0.53 (step @p67 :rule trans :premises (@p66 @p65)) % 0.20/0.53 (step @p68 :rule refl :args (@t76)) % 0.20/0.53 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t76 (not (and @t24 @t23 @t19))))) % 0.20/0.53 (step @p70 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23 @t19))) % 0.20/0.53 (step @p71 :rule trans :premises (@p70 @p69)) % 0.20/0.53 (step @p72 :rule trans :premises (@p71 @p62)) % 0.20/0.53 (step @p73 :rule nary_cong :premises (@p72 @p61) :args ((or (not @t27) @t22))) % 0.20/0.53 (step @p74 :rule trans :premises (@p73 @p60)) % 0.20/0.53 (step @p75 :rule bool-impl-elim :args (@t27 @t22)) % 0.20/0.53 (step @p76 :rule trans :premises (@p75 @p74)) % 0.20/0.53 (step @p77 :rule cong :premises (@p76) :args (@t28)) % 0.20/0.53 (step @p78 :rule eq_resolve :premises (@p13 @p77)) % 0.20/0.53 (step @p79 :rule instantiate :premises (@p78) :args ((@list tptp.v400 tptp.v800 tptp.v0 tptp.v1200))) % 0.20/0.53 (step @p80 :rule instantiate :premises (@p4) :args ((@list tptp.v800 tptp.v1200))) % 0.20/0.53 (step @p81 :rule cnf_or_neg :args (@t78 0)) % 0.20/0.53 (step @p82 :rule reordering :premises (@p81) :args ((or @t70 @t78))) % 0.20/0.53 (step @p83 :rule chain_m_resolution :premises (@p82 @p40) :args (@t78 @t79 (@list @t63))) % 0.20/0.53 (step @p84 :rule cnf_equiv_pos2 :args (@t81)) % 0.20/0.53 (step @p85 :rule reordering :premises (@p84) :args ((or @t80 (not @t78) (not @t81)))) % 0.20/0.53 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p80) :args (@t80 @t82 (@list @t78 @t81))) % 0.20/0.53 (step @p87 :rule instantiate :premises (@p4) :args ((@list tptp.v0 tptp.v400))) % 0.20/0.53 (step @p88 :rule cnf_or_neg :args (@t83 0)) % 0.20/0.53 (step @p89 :rule reordering :premises (@p88) :args ((or (not @t61) @t83))) % 0.20/0.53 (step @p90 :rule chain_m_resolution :premises (@p89 @p38) :args (@t83 @t79 (@list @t61))) % 0.20/0.53 (step @p91 :rule cnf_equiv_pos2 :args (@t85)) % 0.20/0.53 (step @p92 :rule reordering :premises (@p91) :args ((or @t84 (not @t83) (not @t85)))) % 0.20/0.53 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p87) :args (@t84 @t82 (@list @t83 @t85))) % 0.20/0.53 (step @p94 :rule cnf_or_pos :args (@t90)) % 0.20/0.53 (step @p95 :rule reordering :premises (@p94) :args ((or @t66 @t71 @t89 @t88 @t86 (not @t90)))) % 0.20/0.53 (step @p96 :rule chain_m_resolution :premises (@p95 @p42 @p39 @p93 @p86 @p79) :args (@t88 (@list true false false false false) (@list @t66 @t62 @t84 @t80 @t90))) % 0.20/0.53 (step @p97 :rule cnf_or_pos :args (@t92)) % 0.20/0.53 (step @p98 :rule reordering :premises (@p97) :args ((or @t87 @t91 @t93))) % 0.20/0.53 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p59) :args (@t93 @t94 (@list @t87 @t69))) % 0.20/0.53 (assume-push @p106 @t95) % 0.20/0.53 (step @p101 :rule instantiate :premises (@p46) :args ((@list tptp.v400 tptp.v1200))) % 0.20/0.53 (step-pop @p107 :rule scope :premises (@p101)) % 0.20/0.53 (step @p102 :rule process_scope :premises (@p107) :args (@t92)) % 0.20/0.53 (step @p104 :rule implies_elim :premises (@p102)) % 0.20/0.53 (step @p105 false :rule chain_m_resolution :premises (@p104 @p99 @p46) :args (false @t94 (@list @t92 @t95))) % 0.20/0.53 ) % 0.20/0.53 % SZS output end Proof % 0.20/0.53 % cvc5 exiting %------------------------------------------------------------------------------