%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT084+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 06:04:57 AM UTC 2026 % Result : Theorem 0.17s 0.52s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n019.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 14:19:22 UTC 2026 % 0.08/0.35 % CPUTime : % 0.12/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.17/0.52 % SZS status Theorem % 0.17/0.52 % SZS output start Proof % 0.17/0.52 ( % 0.17/0.52 (declare-sort $$unsorted 0) % 0.17/0.52 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.52 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.17/0.52 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.17/0.52 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.52 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.52 (declare-const tptp.val (-> $$unsorted Bool)) % 0.17/0.52 (declare-const tptp.conflict $$unsorted) % 0.17/0.52 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.52 (declare-const tptp.v0 $$unsorted) % 0.17/0.52 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.52 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.52 (declare-const tptp.v200 $$unsorted) % 0.17/0.52 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.17/0.52 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.52 (declare-const tptp.v400 $$unsorted) % 0.17/0.52 (declare-const tptp.compatible $$unsorted) % 0.17/0.52 (declare-const tptp.v600 $$unsorted) % 0.17/0.52 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.52 (declare-const tptp.unknown $$unsorted) % 0.17/0.52 (define @t1 () (@var "X" $$unsorted)) % 0.17/0.52 (define @t2 () (@list @t1)) % 0.17/0.52 (define @t3 () (@var "Z" $$unsorted)) % 0.17/0.52 (define @t4 () (tptp.less @t1 @t3)) % 0.17/0.52 (define @t5 () (@var "Y" $$unsorted)) % 0.17/0.52 (define @t6 () (tptp.less @t5 @t3)) % 0.17/0.52 (define @t7 () (tptp.less @t1 @t5)) % 0.17/0.52 (define @t8 () (@list @t1 @t5 @t3)) % 0.17/0.52 (define @t9 () (= @t1 @t5)) % 0.17/0.52 (define @t10 () (@list @t1 @t5)) % 0.17/0.52 (define @t11 () (tptp.leq @t1 @t5)) % 0.17/0.52 (define @t12 () (tptp.leq @t5 @t1)) % 0.17/0.52 (define @t13 () (and @t11 @t12)) % 0.17/0.52 (define @t14 () (forall @t10 (=> @t13 @t9))) % 0.17/0.52 (define @t15 () (tptp.leq @t5 @t3)) % 0.17/0.52 (define @t16 () (@var "B" $$unsorted)) % 0.17/0.52 (define @t17 () (tptp.leq @t1 @t16)) % 0.17/0.52 (define @t18 () (@var "A" $$unsorted)) % 0.17/0.52 (define @t19 () (tptp.leq @t18 @t1)) % 0.17/0.52 (define @t20 () (@list @t1 @t18 @t16)) % 0.17/0.52 (define @t21 () (tptp.less @t18 @t1)) % 0.17/0.52 (define @t22 () (tptp.less @t1 @t16)) % 0.17/0.52 (define @t23 () (@var "I2hi" $$unsorted)) % 0.17/0.52 (define @t24 () (@var "I2lo" $$unsorted)) % 0.17/0.52 (define @t25 () (tptp.in_closed @t1 @t24 @t23)) % 0.17/0.52 (define @t26 () (@var "I1hi" $$unsorted)) % 0.17/0.52 (define @t27 () (@var "I1lo" $$unsorted)) % 0.17/0.52 (define @t28 () (tptp.in_closed @t1 @t27 @t26)) % 0.17/0.52 (define @t29 () (exists @t2 (and @t28 @t25))) % 0.17/0.52 (define @t30 () (@list @t27 @t26 @t24 @t23)) % 0.17/0.52 (define @t31 () (@var "V" $$unsorted)) % 0.17/0.52 (define @t32 () (@var "V2" $$unsorted)) % 0.17/0.52 (define @t33 () (@var "V1" $$unsorted)) % 0.17/0.52 (define @t34 () (tptp.box_verdict @t33 @t32)) % 0.17/0.52 (define @t35 () (= @t34 tptp.conflict)) % 0.17/0.52 (define @t36 () (= @t32 tptp.conflict)) % 0.17/0.52 (define @t37 () (= @t33 tptp.conflict)) % 0.17/0.52 (define @t38 () (tptp.is_verdict @t32)) % 0.17/0.52 (define @t39 () (tptp.is_verdict @t33)) % 0.17/0.52 (define @t40 () (@list @t33 @t32)) % 0.17/0.52 (define @t41 () (= @t34 tptp.compatible)) % 0.17/0.52 (define @t42 () (= @t34 tptp.unknown)) % 0.17/0.52 (define @t43 () (tptp.leq tptp.v200 @t3)) % 0.17/0.52 (define @t44 () (tptp.in_lopen @t3 tptp.v0 tptp.v200)) % 0.17/0.52 (define @t45 () (tptp.less tptp.v400 @t5)) % 0.17/0.52 (define @t46 () (tptp.in_lopen @t5 tptp.v0 tptp.v400)) % 0.17/0.52 (define @t47 () (tptp.leq tptp.v600 @t1)) % 0.17/0.52 (define @t48 () (tptp.in_lopen @t1 tptp.v0 tptp.v600)) % 0.17/0.52 (define @t49 () (and @t48 @t47 @t46 @t45 @t44 @t43)) % 0.17/0.52 (define @t50 () (exists @t8 @t49)) % 0.17/0.52 (define @t51 () (not @t45)) % 0.17/0.52 (define @t52 () (not @t46)) % 0.17/0.52 (define @t53 () (or @t52 @t51)) % 0.17/0.52 (define @t54 () (forall (@list @t5) @t53)) % 0.17/0.52 (define @t55 () (@quantifiers_skolemize @t54 0)) % 0.17/0.52 (define @t56 () (not @t12)) % 0.17/0.52 (define @t57 () (not @t11)) % 0.17/0.52 (define @t58 () (@list tptp.v400 @t55)) % 0.17/0.52 (define @t59 () (not @t43)) % 0.17/0.52 (define @t60 () (not @t44)) % 0.17/0.52 (define @t61 () (or @t60 @t59)) % 0.17/0.52 (define @t62 () (not @t47)) % 0.17/0.52 (define @t63 () (not @t48)) % 0.17/0.52 (define @t64 () (or @t63 @t62)) % 0.17/0.52 (define @t65 () (or @t64 @t53 @t61)) % 0.17/0.52 (define @t66 () (or @t63 @t62 @t52 @t51 @t60 @t59)) % 0.17/0.52 (define @t67 () (forall @t8 (not @t49))) % 0.17/0.52 (define @t68 () (not @t67)) % 0.17/0.52 (define @t69 () (tptp.in_lopen @t55 tptp.v0 tptp.v400)) % 0.17/0.52 (define @t70 () (tptp.less tptp.v400 @t55)) % 0.17/0.52 (define @t71 () (not @t70)) % 0.17/0.52 (define @t72 () (not @t69)) % 0.17/0.52 (define @t73 () (or @t72 @t71)) % 0.17/0.52 (define @t74 () (@list true)) % 0.17/0.52 (define @t75 () (@list @t73)) % 0.17/0.52 (define @t76 () (tptp.leq @t55 tptp.v400)) % 0.17/0.52 (define @t77 () (and (tptp.less tptp.v0 @t55) @t76)) % 0.17/0.52 (define @t78 () (= @t69 @t77)) % 0.17/0.52 (define @t79 () (@list false false)) % 0.17/0.52 (define @t80 () (@list false)) % 0.17/0.52 (define @t81 () (= tptp.v400 @t55)) % 0.17/0.52 (define @t82 () (or @t70 @t81)) % 0.17/0.52 (define @t83 () (tptp.leq tptp.v400 @t55)) % 0.17/0.52 (define @t84 () (= @t83 @t82)) % 0.17/0.52 (define @t85 () (not @t76)) % 0.17/0.52 (define @t86 () (not @t83)) % 0.17/0.52 (define @t87 () (or @t86 @t85 @t81)) % 0.17/0.52 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.17/0.52 (assume @p2 (forall @t8 (=> (and @t7 @t6) @t4))) % 0.17/0.52 (assume @p3 (forall @t10 (or @t7 @t9 (tptp.less @t5 @t1)))) % 0.17/0.52 (assume @p4 (forall @t10 (= @t11 (or @t7 @t9)))) % 0.17/0.52 (assume @p5 @t14) % 0.17/0.52 (assume @p6 (forall @t10 (=> @t7 @t11))) % 0.17/0.52 (assume @p7 (forall @t8 (=> (and @t11 @t6) @t4))) % 0.17/0.52 (assume @p8 (forall @t8 (=> (and @t7 @t15) @t4))) % 0.17/0.52 (assume @p9 (forall @t8 (=> (and @t11 @t15) (tptp.leq @t1 @t3)))) % 0.17/0.52 (assume @p10 (forall @t20 (= (tptp.in_closed @t1 @t18 @t16) (and @t19 @t17)))) % 0.17/0.52 (assume @p11 (forall @t20 (= (tptp.in_lopen @t1 @t18 @t16) (and @t21 @t17)))) % 0.17/0.52 (assume @p12 (forall @t20 (= (tptp.in_ropen @t1 @t18 @t16) (and @t19 @t22)))) % 0.17/0.52 (assume @p13 (forall @t20 (= (tptp.in_open @t1 @t18 @t16) (and @t21 @t22)))) % 0.17/0.52 (assume @p14 (forall @t30 (= (tptp.axis_conflict @t27 @t26 @t24 @t23) (not @t29)))) % 0.17/0.52 (assume @p15 (forall @t30 (= (tptp.axis_compatible @t27 @t26 @t24 @t23) @t29))) % 0.17/0.52 (assume @p16 (forall @t30 (= (tptp.axis_subsumes @t27 @t26 @t24 @t23) (forall @t2 (=> @t28 @t25))))) % 0.17/0.52 (assume @p17 (tptp.is_verdict tptp.conflict)) % 0.17/0.52 (assume @p18 (tptp.is_verdict tptp.compatible)) % 0.17/0.52 (assume @p19 (tptp.is_verdict tptp.unknown)) % 0.17/0.52 (assume @p20 (not (= tptp.conflict tptp.compatible))) % 0.17/0.52 (assume @p21 (not (= tptp.conflict tptp.unknown))) % 0.17/0.52 (assume @p22 (not (= tptp.compatible tptp.unknown))) % 0.17/0.52 (assume @p23 (forall (@list @t31) (=> (tptp.is_verdict @t31) (or (= @t31 tptp.conflict) (= @t31 tptp.compatible) (= @t31 tptp.unknown))))) % 0.17/0.52 (assume @p24 (forall @t40 (=> (and @t39 @t38 (or @t37 @t36)) @t35))) % 0.17/0.52 (assume @p25 (forall @t40 (=> (and @t39 @t38 (= @t33 tptp.compatible) (= @t32 tptp.compatible)) @t41))) % 0.17/0.52 (assume @p26 (forall @t40 (=> (and @t39 @t38 (or (= @t33 tptp.unknown) (= @t32 tptp.unknown)) (not @t37) (not @t36)) @t42))) % 0.17/0.52 (assume @p27 (forall @t40 (=> (and @t39 @t38) (or @t35 @t41 @t42)))) % 0.17/0.52 (assume @p28 (tptp.val tptp.v0)) % 0.17/0.52 (assume @p29 (tptp.val tptp.v200)) % 0.17/0.52 (assume @p30 (tptp.val tptp.v400)) % 0.17/0.52 (assume @p31 (tptp.val tptp.v600)) % 0.17/0.52 (assume @p32 (tptp.less tptp.v0 tptp.v200)) % 0.17/0.52 (assume @p33 (tptp.less tptp.v0 tptp.v400)) % 0.17/0.52 (assume @p34 (tptp.less tptp.v0 tptp.v600)) % 0.17/0.52 (assume @p35 (tptp.less tptp.v200 tptp.v400)) % 0.17/0.52 (assume @p36 (tptp.less tptp.v200 tptp.v600)) % 0.17/0.52 (assume @p37 (tptp.less tptp.v400 tptp.v600)) % 0.17/0.52 (assume @p38 (and (not (= tptp.v0 tptp.v200)) (not (= tptp.v0 tptp.v400)) (not (= tptp.v0 tptp.v600)) (not (= tptp.v200 tptp.v400)) (not (= tptp.v200 tptp.v600)) (not (= tptp.v400 tptp.v600)))) % 0.17/0.52 (assume @p39 (not (not @t50))) % 0.17/0.52 (assume @p40 true) % 0.17/0.52 (step @p41 :rule evaluate :args ((= true false))) % 0.17/0.52 (step @p42 :rule instantiate :premises (@p1) :args ((@list @t55))) % 0.17/0.52 (step @p43 :rule false_intro :premises (@p42)) % 0.17/0.52 (step @p44 :rule aci_norm :args ((= (or (or @t57 @t56) @t9) (or @t57 @t56 @t9)))) % 0.17/0.52 (step @p45 :rule refl :args (@t9)) % 0.17/0.52 (step @p46 :rule bool-and-de-morgan :args (@t11 @t12 true)) % 0.17/0.52 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t13) @t9))) % 0.17/0.52 (step @p48 :rule trans :premises (@p47 @p44)) % 0.17/0.52 (step @p49 :rule bool-impl-elim :args (@t13 @t9)) % 0.17/0.52 (step @p50 :rule trans :premises (@p49 @p48)) % 0.17/0.52 (step @p51 :rule cong :premises (@p50) :args (@t14)) % 0.17/0.52 (step @p52 :rule eq_resolve :premises (@p5 @p51)) % 0.17/0.52 (step @p53 :rule instantiate :premises (@p52) :args (@t58)) % 0.17/0.52 (step @p54 :rule instantiate :premises (@p11) :args ((@list @t55 tptp.v0 tptp.v400))) % 0.17/0.52 (step @p55 :rule quant-miniscope-or :args ((= (forall @t8 @t65) (or (forall @t2 @t64) @t54 (forall (@list @t3) @t61))))) % 0.17/0.52 (step @p56 :rule aci_norm :args ((= @t66 @t65))) % 0.17/0.52 (step @p57 :rule cong :premises (@p56) :args ((forall @t8 @t66))) % 0.17/0.52 (step @p58 :rule trans :premises (@p57 @p55)) % 0.17/0.52 (step @p59 :rule aci_norm :args ((= (or @t63 (or @t62 (or @t52 (or @t51 @t61)))) @t66))) % 0.17/0.52 (step @p60 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 0.17/0.52 (step @p61 :rule refl :args (@t51)) % 0.17/0.52 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t51 (not (and @t44 @t43))))) % 0.17/0.52 (step @p63 :rule bool-and-de-morgan :args (@t45 @t44 (and @t43))) % 0.17/0.52 (step @p64 :rule trans :premises (@p63 @p62)) % 0.17/0.52 (step @p65 :rule refl :args (@t52)) % 0.17/0.52 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t52 (not (and @t45 @t44 @t43))))) % 0.17/0.52 (step @p67 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44 @t43))) % 0.17/0.52 (step @p68 :rule trans :premises (@p67 @p66)) % 0.17/0.52 (step @p69 :rule refl :args (@t62)) % 0.17/0.52 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t62 (not (and @t46 @t45 @t44 @t43))))) % 0.17/0.52 (step @p71 :rule bool-and-de-morgan :args (@t47 @t46 (and @t45 @t44 @t43))) % 0.17/0.52 (step @p72 :rule trans :premises (@p71 @p70)) % 0.17/0.52 (step @p73 :rule refl :args (@t63)) % 0.17/0.52 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t63 (not (and @t47 @t46 @t45 @t44 @t43))))) % 0.17/0.52 (step @p75 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46 @t45 @t44 @t43))) % 0.17/0.52 (step @p76 :rule trans :premises (@p75 @p74)) % 0.17/0.52 (step @p77 :rule trans :premises (@p76 @p59)) % 0.17/0.52 (step @p78 :rule cong :premises (@p77) :args (@t67)) % 0.17/0.52 (step @p79 :rule trans :premises (@p78 @p58)) % 0.17/0.52 (step @p80 :rule cong :premises (@p79) :args (@t68)) % 0.17/0.52 (step @p81 :rule exists-elim :args ((= @t50 @t68))) % 0.17/0.52 (step @p82 :rule trans :premises (@p81 @p80)) % 0.17/0.52 (step @p83 :rule bool-double-not-elim :args (@t50)) % 0.17/0.52 (step @p84 :rule trans :premises (@p83 @p82)) % 0.17/0.52 (step @p85 :rule eq_resolve :premises (@p39 @p84)) % 0.17/0.52 (step @p86 :rule not_or_elim :premises (@p85) :args (1)) % 0.17/0.52 (step @p87 :rule skolemize :premises (@p86)) % 0.17/0.52 (step @p88 :rule bool-double-not-elim :args (@t69)) % 0.17/0.52 (step @p89 :rule refl :args (@t73)) % 0.17/0.52 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t73 (not @t72)))) % 0.17/0.52 (step @p91 :rule cnf_or_neg :args (@t73 0)) % 0.17/0.52 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.17/0.52 (step @p93 :rule reordering :premises (@p92) :args ((or @t69 @t73))) % 0.17/0.52 (step @p94 :rule chain_m_resolution :premises (@p93 @p87) :args (@t69 @t74 @t75)) % 0.17/0.52 (step @p95 :rule cnf_equiv_pos1 :args (@t78)) % 0.17/0.52 (step @p96 :rule reordering :premises (@p95) :args ((or @t72 @t77 (not @t78)))) % 0.17/0.52 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p54) :args (@t77 @t79 (@list @t69 @t78))) % 0.17/0.52 (step @p98 :rule cnf_and_pos :args (@t77 1)) % 0.17/0.52 (step @p99 :rule reordering :premises (@p98) :args ((or @t76 (not @t77)))) % 0.17/0.52 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t76 @t80 (@list @t77))) % 0.17/0.52 (step @p101 :rule instantiate :premises (@p4) :args (@t58)) % 0.17/0.52 (step @p102 :rule bool-double-not-elim :args (@t70)) % 0.17/0.52 (step @p103 :rule nary_cong :premises (@p89 @p102) :args ((or @t73 (not @t71)))) % 0.17/0.52 (step @p104 :rule cnf_or_neg :args (@t73 1)) % 0.17/0.52 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.17/0.52 (step @p106 :rule reordering :premises (@p105) :args ((or @t70 @t73))) % 0.17/0.52 (step @p107 :rule chain_m_resolution :premises (@p106 @p87) :args (@t70 @t74 @t75)) % 0.17/0.52 (step @p108 :rule cnf_or_neg :args (@t82 0)) % 0.17/0.52 (step @p109 :rule reordering :premises (@p108) :args ((or @t71 @t82))) % 0.17/0.52 (step @p110 :rule chain_m_resolution :premises (@p109 @p107) :args (@t82 @t80 (@list @t70))) % 0.17/0.52 (step @p111 :rule cnf_equiv_pos2 :args (@t84)) % 0.17/0.52 (step @p112 :rule reordering :premises (@p111) :args ((or @t83 (not @t82) (not @t84)))) % 0.17/0.52 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p101) :args (@t83 @t79 (@list @t82 @t84))) % 0.17/0.52 (step @p114 :rule cnf_or_pos :args (@t87)) % 0.17/0.52 (step @p115 :rule reordering :premises (@p114) :args ((or @t81 @t86 @t85 (not @t87)))) % 0.17/0.52 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p100 @p53) :args (@t81 (@list false false false) (@list @t83 @t76 @t87))) % 0.17/0.52 (step @p117 :rule cong :premises (@p116 @p116) :args ((tptp.less tptp.v400 tptp.v400))) % 0.17/0.52 (step @p118 :rule symm :premises (@p116)) % 0.17/0.52 (step @p119 :rule refl :args (tptp.v400)) % 0.17/0.52 (step @p120 :rule cong :premises (@p119 @p118) :args (@t70)) % 0.17/0.52 (step @p121 :rule true_intro :premises (@p107)) % 0.17/0.52 (step @p122 :rule symm :premises (@p121)) % 0.17/0.52 (step @p123 :rule trans :premises (@p122 @p120 @p117 @p43)) % 0.17/0.52 (step @p124 false :rule eq_resolve :premises (@p123 @p41)) % 0.17/0.53 ) % 0.17/0.53 % SZS output end Proof % 0.17/0.53 % cvc5 exiting %------------------------------------------------------------------------------