%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT075+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 06:04:56 AM UTC 2026 % Result : Theorem 0.18s 0.51s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT075+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 % 0.09/0.35 % Computer : n013.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Mon Sep 7 14:11:05 UTC 2026 % 0.09/0.36 % CPUTime : % 0.13/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.18/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/0.51 % SZS status Theorem % 0.18/0.51 % SZS output start Proof % 0.18/0.51 ( % 0.18/0.51 (declare-sort $$unsorted 0) % 0.18/0.51 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.18/0.51 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.18/0.51 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.18/0.51 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.51 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.51 (declare-const tptp.val (-> $$unsorted Bool)) % 0.18/0.51 (declare-const tptp.conflict $$unsorted) % 0.18/0.51 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.51 (declare-const tptp.v0 $$unsorted) % 0.18/0.51 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.51 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.51 (declare-const tptp.v600 $$unsorted) % 0.18/0.51 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.18/0.51 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.51 (declare-const tptp.compatible $$unsorted) % 0.18/0.51 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.51 (declare-const tptp.unknown $$unsorted) % 0.18/0.51 (define @t1 () (@var "X" $$unsorted)) % 0.18/0.51 (define @t2 () (@list @t1)) % 0.18/0.51 (define @t3 () (@var "Z" $$unsorted)) % 0.18/0.51 (define @t4 () (tptp.less @t1 @t3)) % 0.18/0.51 (define @t5 () (@var "Y" $$unsorted)) % 0.18/0.51 (define @t6 () (tptp.less @t5 @t3)) % 0.18/0.51 (define @t7 () (tptp.less @t1 @t5)) % 0.18/0.51 (define @t8 () (and @t7 @t6)) % 0.18/0.51 (define @t9 () (@list @t1 @t5 @t3)) % 0.18/0.51 (define @t10 () (forall @t9 (=> @t8 @t4))) % 0.18/0.51 (define @t11 () (= @t1 @t5)) % 0.18/0.51 (define @t12 () (@list @t1 @t5)) % 0.18/0.51 (define @t13 () (tptp.leq @t1 @t5)) % 0.18/0.51 (define @t14 () (tptp.leq @t5 @t3)) % 0.18/0.51 (define @t15 () (@var "B" $$unsorted)) % 0.18/0.51 (define @t16 () (tptp.leq @t1 @t15)) % 0.18/0.51 (define @t17 () (@var "A" $$unsorted)) % 0.18/0.51 (define @t18 () (tptp.leq @t17 @t1)) % 0.18/0.51 (define @t19 () (@list @t1 @t17 @t15)) % 0.18/0.51 (define @t20 () (tptp.less @t17 @t1)) % 0.18/0.51 (define @t21 () (tptp.less @t1 @t15)) % 0.18/0.51 (define @t22 () (@var "I2hi" $$unsorted)) % 0.18/0.51 (define @t23 () (@var "I2lo" $$unsorted)) % 0.18/0.51 (define @t24 () (tptp.in_closed @t1 @t23 @t22)) % 0.18/0.51 (define @t25 () (@var "I1hi" $$unsorted)) % 0.18/0.51 (define @t26 () (@var "I1lo" $$unsorted)) % 0.18/0.51 (define @t27 () (tptp.in_closed @t1 @t26 @t25)) % 0.18/0.51 (define @t28 () (exists @t2 (and @t27 @t24))) % 0.18/0.51 (define @t29 () (@list @t26 @t25 @t23 @t22)) % 0.18/0.51 (define @t30 () (@var "V" $$unsorted)) % 0.18/0.51 (define @t31 () (@var "V2" $$unsorted)) % 0.18/0.51 (define @t32 () (@var "V1" $$unsorted)) % 0.18/0.51 (define @t33 () (tptp.box_verdict @t32 @t31)) % 0.18/0.51 (define @t34 () (= @t33 tptp.conflict)) % 0.18/0.51 (define @t35 () (= @t31 tptp.conflict)) % 0.18/0.51 (define @t36 () (= @t32 tptp.conflict)) % 0.18/0.51 (define @t37 () (tptp.is_verdict @t31)) % 0.18/0.51 (define @t38 () (tptp.is_verdict @t32)) % 0.18/0.51 (define @t39 () (@list @t32 @t31)) % 0.18/0.51 (define @t40 () (= @t33 tptp.compatible)) % 0.18/0.51 (define @t41 () (= @t33 tptp.unknown)) % 0.18/0.51 (define @t42 () (tptp.leq tptp.v600 @t1)) % 0.18/0.51 (define @t43 () (tptp.in_open @t1 tptp.v0 tptp.v600)) % 0.18/0.51 (define @t44 () (and @t43 @t42)) % 0.18/0.51 (define @t45 () (exists @t2 @t44)) % 0.18/0.51 (define @t46 () (not @t6)) % 0.18/0.51 (define @t47 () (not @t7)) % 0.18/0.51 (define @t48 () (or @t47 @t46 @t4)) % 0.18/0.51 (define @t49 () (@quantifiers_skolemize (forall @t2 (or (not @t43) (not @t42))) 0)) % 0.18/0.51 (define @t50 () (forall @t2 (not @t44))) % 0.18/0.51 (define @t51 () (not @t50)) % 0.18/0.51 (define @t52 () (tptp.in_open @t49 tptp.v0 tptp.v600)) % 0.18/0.51 (define @t53 () (tptp.leq tptp.v600 @t49)) % 0.18/0.51 (define @t54 () (not @t53)) % 0.18/0.51 (define @t55 () (not @t52)) % 0.18/0.51 (define @t56 () (or @t55 @t54)) % 0.18/0.51 (define @t57 () (@list true)) % 0.18/0.51 (define @t58 () (@list @t56)) % 0.18/0.51 (define @t59 () (tptp.less @t49 tptp.v600)) % 0.18/0.51 (define @t60 () (and (tptp.less tptp.v0 @t49) @t59)) % 0.18/0.51 (define @t61 () (= @t52 @t60)) % 0.18/0.51 (define @t62 () (@list false false)) % 0.18/0.51 (define @t63 () (= tptp.v600 @t49)) % 0.18/0.51 (define @t64 () (tptp.less tptp.v600 @t49)) % 0.18/0.51 (define @t65 () (or @t64 @t63)) % 0.18/0.51 (define @t66 () (= @t53 @t65)) % 0.18/0.51 (define @t67 () (not @t59)) % 0.18/0.51 (define @t68 () (not @t63)) % 0.18/0.51 (define @t69 () (not @t64)) % 0.18/0.51 (define @t70 () (and @t59 @t63 @t69)) % 0.18/0.51 (define @t71 () (tptp.less @t49 @t49)) % 0.18/0.51 (define @t72 () (or @t67 @t69 @t71)) % 0.18/0.51 (define @t73 () (not @t72)) % 0.18/0.51 (define @t74 () (forall @t9 @t48)) % 0.18/0.51 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.18/0.51 (assume @p2 @t10) % 0.18/0.51 (assume @p3 (forall @t12 (or @t7 @t11 (tptp.less @t5 @t1)))) % 0.18/0.51 (assume @p4 (forall @t12 (= @t13 (or @t7 @t11)))) % 0.18/0.51 (assume @p5 (forall @t12 (=> (and @t13 (tptp.leq @t5 @t1)) @t11))) % 0.18/0.51 (assume @p6 (forall @t12 (=> @t7 @t13))) % 0.18/0.51 (assume @p7 (forall @t9 (=> (and @t13 @t6) @t4))) % 0.18/0.51 (assume @p8 (forall @t9 (=> (and @t7 @t14) @t4))) % 0.18/0.51 (assume @p9 (forall @t9 (=> (and @t13 @t14) (tptp.leq @t1 @t3)))) % 0.18/0.51 (assume @p10 (forall @t19 (= (tptp.in_closed @t1 @t17 @t15) (and @t18 @t16)))) % 0.18/0.51 (assume @p11 (forall @t19 (= (tptp.in_lopen @t1 @t17 @t15) (and @t20 @t16)))) % 0.18/0.51 (assume @p12 (forall @t19 (= (tptp.in_ropen @t1 @t17 @t15) (and @t18 @t21)))) % 0.18/0.51 (assume @p13 (forall @t19 (= (tptp.in_open @t1 @t17 @t15) (and @t20 @t21)))) % 0.18/0.51 (assume @p14 (forall @t29 (= (tptp.axis_conflict @t26 @t25 @t23 @t22) (not @t28)))) % 0.18/0.51 (assume @p15 (forall @t29 (= (tptp.axis_compatible @t26 @t25 @t23 @t22) @t28))) % 0.18/0.51 (assume @p16 (forall @t29 (= (tptp.axis_subsumes @t26 @t25 @t23 @t22) (forall @t2 (=> @t27 @t24))))) % 0.18/0.51 (assume @p17 (tptp.is_verdict tptp.conflict)) % 0.18/0.51 (assume @p18 (tptp.is_verdict tptp.compatible)) % 0.18/0.51 (assume @p19 (tptp.is_verdict tptp.unknown)) % 0.18/0.51 (assume @p20 (not (= tptp.conflict tptp.compatible))) % 0.18/0.51 (assume @p21 (not (= tptp.conflict tptp.unknown))) % 0.18/0.51 (assume @p22 (not (= tptp.compatible tptp.unknown))) % 0.18/0.51 (assume @p23 (forall (@list @t30) (=> (tptp.is_verdict @t30) (or (= @t30 tptp.conflict) (= @t30 tptp.compatible) (= @t30 tptp.unknown))))) % 0.18/0.51 (assume @p24 (forall @t39 (=> (and @t38 @t37 (or @t36 @t35)) @t34))) % 0.18/0.51 (assume @p25 (forall @t39 (=> (and @t38 @t37 (= @t32 tptp.compatible) (= @t31 tptp.compatible)) @t40))) % 0.18/0.51 (assume @p26 (forall @t39 (=> (and @t38 @t37 (or (= @t32 tptp.unknown) (= @t31 tptp.unknown)) (not @t36) (not @t35)) @t41))) % 0.18/0.51 (assume @p27 (forall @t39 (=> (and @t38 @t37) (or @t34 @t40 @t41)))) % 0.18/0.51 (assume @p28 (tptp.val tptp.v0)) % 0.18/0.51 (assume @p29 (tptp.val tptp.v600)) % 0.18/0.51 (assume @p30 (tptp.less tptp.v0 tptp.v600)) % 0.18/0.51 (assume @p31 (not (= tptp.v0 tptp.v600))) % 0.18/0.51 (assume @p32 (not (not @t45))) % 0.18/0.51 (assume @p33 true) % 0.18/0.51 (step @p34 :rule aci_norm :args ((= (or (or @t47 @t46) @t4) @t48))) % 0.18/0.51 (step @p35 :rule refl :args (@t4)) % 0.18/0.51 (step @p36 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.18/0.51 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t8) @t4))) % 0.18/0.51 (step @p38 :rule trans :premises (@p37 @p34)) % 0.18/0.51 (step @p39 :rule bool-impl-elim :args (@t8 @t4)) % 0.18/0.51 (step @p40 :rule trans :premises (@p39 @p38)) % 0.18/0.51 (step @p41 :rule cong :premises (@p40) :args (@t10)) % 0.18/0.51 (step @p42 :rule eq_resolve :premises (@p2 @p41)) % 0.18/0.51 (step @p43 :rule instantiate :premises (@p1) :args ((@list @t49))) % 0.18/0.51 (step @p44 :rule instantiate :premises (@p13) :args ((@list @t49 tptp.v0 tptp.v600))) % 0.18/0.51 (step @p45 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 0.18/0.51 (step @p46 :rule cong :premises (@p45) :args (@t50)) % 0.18/0.51 (step @p47 :rule cong :premises (@p46) :args (@t51)) % 0.18/0.51 (step @p48 :rule exists-elim :args ((= @t45 @t51))) % 0.18/0.51 (step @p49 :rule trans :premises (@p48 @p47)) % 0.18/0.51 (step @p50 :rule bool-double-not-elim :args (@t45)) % 0.18/0.51 (step @p51 :rule trans :premises (@p50 @p49)) % 0.18/0.51 (step @p52 :rule eq_resolve :premises (@p32 @p51)) % 0.18/0.51 (step @p53 :rule skolemize :premises (@p52)) % 0.18/0.51 (step @p54 :rule bool-double-not-elim :args (@t52)) % 0.18/0.51 (step @p55 :rule refl :args (@t56)) % 0.18/0.51 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t56 (not @t55)))) % 0.18/0.51 (step @p57 :rule cnf_or_neg :args (@t56 0)) % 0.18/0.51 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.18/0.51 (step @p59 :rule reordering :premises (@p58) :args ((or @t52 @t56))) % 0.18/0.51 (step @p60 :rule chain_m_resolution :premises (@p59 @p53) :args (@t52 @t57 @t58)) % 0.18/0.51 (step @p61 :rule cnf_equiv_pos1 :args (@t61)) % 0.18/0.51 (step @p62 :rule reordering :premises (@p61) :args ((or @t55 @t60 (not @t61)))) % 0.18/0.51 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p44) :args (@t60 @t62 (@list @t52 @t61))) % 0.18/0.51 (step @p64 :rule cnf_and_pos :args (@t60 1)) % 0.18/0.51 (step @p65 :rule reordering :premises (@p64) :args ((or @t59 (not @t60)))) % 0.18/0.51 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t59 (@list false) (@list @t60))) % 0.18/0.51 (step @p67 :rule instantiate :premises (@p4) :args ((@list tptp.v600 @t49))) % 0.18/0.51 (step @p68 :rule bool-double-not-elim :args (@t53)) % 0.18/0.51 (step @p69 :rule nary_cong :premises (@p55 @p68) :args ((or @t56 (not @t54)))) % 0.18/0.51 (step @p70 :rule cnf_or_neg :args (@t56 1)) % 0.18/0.51 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.18/0.51 (step @p72 :rule reordering :premises (@p71) :args ((or @t53 @t56))) % 0.18/0.51 (step @p73 :rule chain_m_resolution :premises (@p72 @p53) :args (@t53 @t57 @t58)) % 0.18/0.51 (step @p74 :rule cnf_equiv_pos1 :args (@t66)) % 0.18/0.51 (step @p75 :rule reordering :premises (@p74) :args ((or @t54 @t65 (not @t66)))) % 0.18/0.51 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p67) :args (@t65 @t62 (@list @t53 @t66))) % 0.18/0.51 (step @p77 :rule cnf_or_pos :args (@t65)) % 0.18/0.51 (step @p78 :rule reordering :premises (@p77) :args ((or @t64 @t63 (not @t65)))) % 0.18/0.51 (step @p79 :rule bool-double-not-elim :args (@t64)) % 0.18/0.51 (step @p80 :rule refl :args (@t67)) % 0.18/0.51 (step @p81 :rule refl :args (@t68)) % 0.18/0.51 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79) :args ((or @t68 @t67 (not @t69)))) % 0.18/0.51 (assume-push @p121 @t59) % 0.18/0.51 (assume-push @p122 @t63) % 0.18/0.51 (assume-push @p123 @t69) % 0.18/0.51 (step @p86 :rule evaluate :args ((= false true))) % 0.18/0.51 (step @p87 :rule true_intro :premises (@p66)) % 0.18/0.51 (step @p88 :rule symm :premises (@p122)) % 0.18/0.51 (step @p89 :rule cong :premises (@p122 @p88) :args (@t64)) % 0.18/0.51 (step @p90 :rule false_intro :premises (@p123)) % 0.18/0.51 (step @p91 :rule symm :premises (@p90)) % 0.18/0.51 (step @p92 :rule trans :premises (@p91 @p89 @p87)) % 0.18/0.51 (step @p93 false :rule eq_resolve :premises (@p92 @p86)) % 0.18/0.51 (step-pop @p124 :rule scope :premises (@p93)) % 0.18/0.51 (step-pop @p125 :rule scope :premises (@p124)) % 0.18/0.51 (step-pop @p126 :rule scope :premises (@p125)) % 0.18/0.51 (step @p94 :rule process_scope :premises (@p126) :args (false)) % 0.18/0.51 (assume-push @p127 @t63) % 0.18/0.51 (assume-push @p128 @t59) % 0.18/0.51 (assume-push @p129 @t69) % 0.18/0.51 (step @p101 :rule and_intro :premises (@p66 @p127 @p129)) % 0.18/0.51 (step-pop @p130 :rule scope :premises (@p101)) % 0.18/0.51 (step-pop @p131 :rule scope :premises (@p130)) % 0.18/0.51 (step-pop @p132 :rule scope :premises (@p131)) % 0.18/0.51 (step @p102 :rule process_scope :premises (@p132) :args (@t70)) % 0.18/0.51 (step @p106 :rule implies_elim :premises (@p102)) % 0.18/0.51 (step @p107 :rule resolution :premises (@p106 @p94) :args (true @t70)) % 0.18/0.51 (step @p108 :rule not_and :premises (@p107)) % 0.18/0.51 (step @p109 :rule eq_resolve :premises (@p108 @p82)) % 0.18/0.51 (step @p110 :rule reordering :premises (@p109) :args ((or @t64 @t68 @t67))) % 0.18/0.51 (step @p111 :rule chain_m_resolution :premises (@p110 @p66 @p78 @p76) :args (@t64 (@list false false false) (@list @t59 @t63 @t65))) % 0.18/0.51 (step @p112 :rule cnf_or_pos :args (@t72)) % 0.18/0.51 (step @p113 :rule reordering :premises (@p112) :args ((or @t69 @t67 @t71 @t73))) % 0.18/0.51 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p66 @p43) :args (@t73 (@list false false true) (@list @t64 @t59 @t71))) % 0.18/0.51 (assume-push @p133 @t74) % 0.18/0.51 (step @p116 :rule instantiate :premises (@p42) :args ((@list @t49 tptp.v600 @t49))) % 0.18/0.51 (step-pop @p134 :rule scope :premises (@p116)) % 0.18/0.51 (step @p117 :rule process_scope :premises (@p134) :args (@t72)) % 0.18/0.51 (step @p119 :rule implies_elim :premises (@p117)) % 0.18/0.51 (step @p120 false :rule chain_m_resolution :premises (@p119 @p114 @p42) :args (false (@list true false) (@list @t72 @t74))) % 0.18/0.51 ) % 0.18/0.51 % SZS output end Proof % 0.18/0.51 % cvc5 exiting %------------------------------------------------------------------------------