%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT077+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 : n002.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 0.13s 1.00s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT077+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 % 0.09/0.56 % Computer : n002.cluster.edu % 0.09/0.56 % Model : x86_64 x86_64 % 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.56 % Memory : 8046.5625MB % 0.09/0.56 % OS : Linux 6.8.0-71-generic % 0.09/0.56 % CPULimit : 300 % 0.09/0.56 % WCLimit : 300 % 0.09/0.56 % DateTime : Mon Sep 7 14:15:52 UTC 2026 % 0.13/0.56 % CPUTime : % 0.13/0.64 %----Proving TF0_NAR, FOF, or CNF % 0.13/1.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.13/1.00 % SZS status Theorem % 0.13/1.00 % SZS output start Proof % 0.13/1.00 ( % 0.13/1.00 (declare-sort $$unsorted 0) % 0.13/1.00 (declare-const tptp.v800 $$unsorted) % 0.13/1.00 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.13/1.00 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.13/1.00 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.13/1.00 (declare-const tptp.val (-> $$unsorted Bool)) % 0.13/1.00 (declare-const tptp.conflict $$unsorted) % 0.13/1.00 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.13/1.00 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.13/1.00 (declare-const tptp.v0 $$unsorted) % 0.13/1.00 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.13/1.00 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.13/1.00 (declare-const tptp.v100 $$unsorted) % 0.13/1.00 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.13/1.00 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.13/1.00 (declare-const tptp.v200 $$unsorted) % 0.13/1.00 (declare-const tptp.compatible $$unsorted) % 0.13/1.00 (declare-const tptp.v500 $$unsorted) % 0.13/1.00 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.13/1.00 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.13/1.00 (declare-const tptp.unknown $$unsorted) % 0.13/1.00 (define @t1 () (@var "X" $$unsorted)) % 0.13/1.00 (define @t2 () (@list @t1)) % 0.13/1.00 (define @t3 () (@var "Z" $$unsorted)) % 0.13/1.00 (define @t4 () (tptp.less @t1 @t3)) % 0.13/1.00 (define @t5 () (@var "Y" $$unsorted)) % 0.13/1.00 (define @t6 () (tptp.less @t5 @t3)) % 0.13/1.00 (define @t7 () (tptp.less @t1 @t5)) % 0.13/1.00 (define @t8 () (@list @t1 @t5 @t3)) % 0.13/1.00 (define @t9 () (= @t1 @t5)) % 0.13/1.00 (define @t10 () (@list @t1 @t5)) % 0.13/1.00 (define @t11 () (tptp.leq @t1 @t5)) % 0.13/1.00 (define @t12 () (tptp.leq @t5 @t3)) % 0.13/1.00 (define @t13 () (@var "B" $$unsorted)) % 0.13/1.00 (define @t14 () (tptp.leq @t1 @t13)) % 0.13/1.00 (define @t15 () (@var "A" $$unsorted)) % 0.13/1.00 (define @t16 () (tptp.leq @t15 @t1)) % 0.13/1.00 (define @t17 () (@list @t1 @t15 @t13)) % 0.13/1.00 (define @t18 () (tptp.less @t15 @t1)) % 0.13/1.00 (define @t19 () (tptp.less @t1 @t13)) % 0.13/1.00 (define @t20 () (@var "I2hi" $$unsorted)) % 0.13/1.00 (define @t21 () (@var "I2lo" $$unsorted)) % 0.13/1.00 (define @t22 () (tptp.in_closed @t1 @t21 @t20)) % 0.13/1.00 (define @t23 () (@var "I1hi" $$unsorted)) % 0.13/1.00 (define @t24 () (@var "I1lo" $$unsorted)) % 0.13/1.00 (define @t25 () (tptp.in_closed @t1 @t24 @t23)) % 0.13/1.00 (define @t26 () (exists @t2 (and @t25 @t22))) % 0.13/1.00 (define @t27 () (@list @t24 @t23 @t21 @t20)) % 0.13/1.00 (define @t28 () (@var "V" $$unsorted)) % 0.13/1.00 (define @t29 () (@var "V2" $$unsorted)) % 0.13/1.00 (define @t30 () (@var "V1" $$unsorted)) % 0.13/1.00 (define @t31 () (tptp.box_verdict @t30 @t29)) % 0.13/1.00 (define @t32 () (= @t31 tptp.conflict)) % 0.13/1.00 (define @t33 () (= @t29 tptp.conflict)) % 0.13/1.00 (define @t34 () (= @t30 tptp.conflict)) % 0.13/1.00 (define @t35 () (tptp.is_verdict @t29)) % 0.13/1.00 (define @t36 () (tptp.is_verdict @t30)) % 0.13/1.00 (define @t37 () (@list @t30 @t29)) % 0.13/1.00 (define @t38 () (= @t31 tptp.compatible)) % 0.13/1.00 (define @t39 () (= @t31 tptp.unknown)) % 0.13/1.00 (define @t40 () (tptp.less tptp.v0 tptp.v200)) % 0.13/1.00 (define @t41 () (tptp.less tptp.v0 tptp.v500)) % 0.13/1.00 (define @t42 () (tptp.less tptp.v100 tptp.v200)) % 0.13/1.00 (define @t43 () (tptp.less tptp.v200 tptp.v500)) % 0.13/1.00 (define @t44 () (tptp.less tptp.v500 tptp.v800)) % 0.13/1.00 (define @t45 () (tptp.in_open @t5 tptp.v0 tptp.v500)) % 0.13/1.00 (define @t46 () (tptp.less tptp.v100 @t5)) % 0.13/1.00 (define @t47 () (tptp.in_open @t1 tptp.v0 tptp.v800)) % 0.13/1.00 (define @t48 () (tptp.less tptp.v200 @t1)) % 0.13/1.00 (define @t49 () (and @t48 @t47 @t46 @t45)) % 0.13/1.00 (define @t50 () (exists @t10 @t49)) % 0.13/1.00 (define @t51 () (not @t50)) % 0.13/1.00 (define @t52 () (and @t40 @t43)) % 0.13/1.00 (define @t53 () (not @t43)) % 0.13/1.00 (define @t54 () (@list false false)) % 0.13/1.00 (define @t55 () (tptp.in_open tptp.v200 tptp.v0 tptp.v500)) % 0.13/1.00 (define @t56 () (= @t55 @t52)) % 0.13/1.00 (define @t57 () (not @t55)) % 0.13/1.00 (define @t58 () (not @t42)) % 0.13/1.00 (define @t59 () (or @t58 @t57)) % 0.13/1.00 (define @t60 () (not @t59)) % 0.13/1.00 (define @t61 () (not @t45)) % 0.13/1.00 (define @t62 () (not @t46)) % 0.13/1.00 (define @t63 () (or @t62 @t61)) % 0.13/1.00 (define @t64 () (forall (@list @t5) @t63)) % 0.13/1.00 (define @t65 () (@list true)) % 0.13/1.00 (define @t66 () (not @t47)) % 0.13/1.00 (define @t67 () (not @t48)) % 0.13/1.00 (define @t68 () (or @t67 @t66)) % 0.13/1.00 (define @t69 () (forall @t2 @t68)) % 0.13/1.00 (define @t70 () (or @t69 @t64)) % 0.13/1.00 (define @t71 () (or @t68 @t63)) % 0.13/1.00 (define @t72 () (or @t67 @t66 @t62 @t61)) % 0.13/1.00 (define @t73 () (forall @t10 (not @t49))) % 0.13/1.00 (define @t74 () (not @t73)) % 0.13/1.00 (define @t75 () (tptp.in_open tptp.v500 tptp.v0 tptp.v800)) % 0.13/1.00 (define @t76 () (not @t75)) % 0.13/1.00 (define @t77 () (or @t53 @t76)) % 0.13/1.00 (define @t78 () (and @t41 @t44)) % 0.13/1.00 (define @t79 () (= @t75 @t78)) % 0.13/1.00 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.13/1.00 (assume @p2 (forall @t8 (=> (and @t7 @t6) @t4))) % 0.13/1.00 (assume @p3 (forall @t10 (or @t7 @t9 (tptp.less @t5 @t1)))) % 0.13/1.00 (assume @p4 (forall @t10 (= @t11 (or @t7 @t9)))) % 0.13/1.00 (assume @p5 (forall @t10 (=> (and @t11 (tptp.leq @t5 @t1)) @t9))) % 0.13/1.00 (assume @p6 (forall @t10 (=> @t7 @t11))) % 0.13/1.00 (assume @p7 (forall @t8 (=> (and @t11 @t6) @t4))) % 0.13/1.00 (assume @p8 (forall @t8 (=> (and @t7 @t12) @t4))) % 0.13/1.00 (assume @p9 (forall @t8 (=> (and @t11 @t12) (tptp.leq @t1 @t3)))) % 0.13/1.00 (assume @p10 (forall @t10 (=> @t7 (exists (@list @t3) (and @t4 (tptp.less @t3 @t5)))))) % 0.13/1.00 (assume @p11 (forall @t17 (= (tptp.in_closed @t1 @t15 @t13) (and @t16 @t14)))) % 0.13/1.00 (assume @p12 (forall @t17 (= (tptp.in_lopen @t1 @t15 @t13) (and @t18 @t14)))) % 0.13/1.00 (assume @p13 (forall @t17 (= (tptp.in_ropen @t1 @t15 @t13) (and @t16 @t19)))) % 0.13/1.00 (assume @p14 (forall @t17 (= (tptp.in_open @t1 @t15 @t13) (and @t18 @t19)))) % 0.13/1.00 (assume @p15 (forall @t27 (= (tptp.axis_conflict @t24 @t23 @t21 @t20) (not @t26)))) % 0.13/1.00 (assume @p16 (forall @t27 (= (tptp.axis_compatible @t24 @t23 @t21 @t20) @t26))) % 0.13/1.00 (assume @p17 (forall @t27 (= (tptp.axis_subsumes @t24 @t23 @t21 @t20) (forall @t2 (=> @t25 @t22))))) % 0.13/1.00 (assume @p18 (tptp.is_verdict tptp.conflict)) % 0.13/1.00 (assume @p19 (tptp.is_verdict tptp.compatible)) % 0.13/1.00 (assume @p20 (tptp.is_verdict tptp.unknown)) % 0.13/1.00 (assume @p21 (not (= tptp.conflict tptp.compatible))) % 0.13/1.00 (assume @p22 (not (= tptp.conflict tptp.unknown))) % 0.13/1.00 (assume @p23 (not (= tptp.compatible tptp.unknown))) % 0.13/1.00 (assume @p24 (forall (@list @t28) (=> (tptp.is_verdict @t28) (or (= @t28 tptp.conflict) (= @t28 tptp.compatible) (= @t28 tptp.unknown))))) % 0.13/1.00 (assume @p25 (forall @t37 (=> (and @t36 @t35 (or @t34 @t33)) @t32))) % 0.13/1.00 (assume @p26 (forall @t37 (=> (and @t36 @t35 (= @t30 tptp.compatible) (= @t29 tptp.compatible)) @t38))) % 0.13/1.00 (assume @p27 (forall @t37 (=> (and @t36 @t35 (or (= @t30 tptp.unknown) (= @t29 tptp.unknown)) (not @t34) (not @t33)) @t39))) % 0.13/1.00 (assume @p28 (forall @t37 (=> (and @t36 @t35) (or @t32 @t38 @t39)))) % 0.13/1.00 (assume @p29 (tptp.val tptp.v0)) % 0.13/1.00 (assume @p30 (tptp.val tptp.v100)) % 0.13/1.00 (assume @p31 (tptp.val tptp.v200)) % 0.13/1.00 (assume @p32 (tptp.val tptp.v500)) % 0.13/1.00 (assume @p33 (tptp.val tptp.v800)) % 0.13/1.00 (assume @p34 (tptp.less tptp.v0 tptp.v100)) % 0.13/1.00 (assume @p35 @t40) % 0.13/1.00 (assume @p36 @t41) % 0.13/1.00 (assume @p37 (tptp.less tptp.v0 tptp.v800)) % 0.13/1.00 (assume @p38 @t42) % 0.13/1.00 (assume @p39 (tptp.less tptp.v100 tptp.v500)) % 0.13/1.00 (assume @p40 (tptp.less tptp.v100 tptp.v800)) % 0.13/1.00 (assume @p41 @t43) % 0.13/1.00 (assume @p42 (tptp.less tptp.v200 tptp.v800)) % 0.13/1.00 (assume @p43 @t44) % 0.13/1.00 (assume @p44 (and (not (= tptp.v0 tptp.v100)) (not (= tptp.v0 tptp.v200)) (not (= tptp.v0 tptp.v500)) (not (= tptp.v0 tptp.v800)) (not (= tptp.v100 tptp.v200)) (not (= tptp.v100 tptp.v500)) (not (= tptp.v100 tptp.v800)) (not (= tptp.v200 tptp.v500)) (not (= tptp.v200 tptp.v800)) (not (= tptp.v500 tptp.v800)))) % 0.13/1.00 (assume @p45 @t51) % 0.13/1.00 (assume @p46 true) % 0.13/1.00 (step @p47 :rule instantiate :premises (@p14) :args ((@list tptp.v200 tptp.v0 tptp.v500))) % 0.13/1.00 (step @p48 :rule cnf_and_neg :args (@t52)) % 0.13/1.00 (step @p49 :rule reordering :premises (@p48) :args ((or (not @t40) @t53 @t52))) % 0.13/1.00 (step @p50 :rule chain_m_resolution :premises (@p49 @p35 @p41) :args (@t52 @t54 (@list @t40 @t43))) % 0.13/1.00 (step @p51 :rule cnf_equiv_pos2 :args (@t56)) % 0.13/1.00 (step @p52 :rule reordering :premises (@p51) :args ((or @t55 (not @t52) (not @t56)))) % 0.13/1.00 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p47) :args (@t55 @t54 (@list @t52 @t56))) % 0.13/1.00 (step @p54 :rule cnf_or_pos :args (@t59)) % 0.13/1.00 (step @p55 :rule reordering :premises (@p54) :args ((or @t58 @t57 @t60))) % 0.13/1.00 (step @p56 :rule chain_m_resolution :premises (@p55 @p38 @p53) :args (@t60 @t54 (@list @t42 @t55))) % 0.13/1.00 (assume-push @p104 @t64) % 0.13/1.00 (step @p58 :rule instantiate :premises (@p104) :args ((@list tptp.v200))) % 0.13/1.00 (step-pop @p105 :rule scope :premises (@p58)) % 0.13/1.00 (step @p59 :rule process_scope :premises (@p105) :args (@t59)) % 0.13/1.00 (step @p61 :rule implies_elim :premises (@p59)) % 0.13/1.00 (step @p62 :rule chain_m_resolution :premises (@p61 @p56) :args ((not @t64) @t65 (@list @t59))) % 0.13/1.00 (step @p63 :rule bool-double-not-elim :args (@t70)) % 0.13/1.00 (step @p64 :rule quant-miniscope-or :args ((= (forall @t10 @t71) @t70))) % 0.13/1.00 (step @p65 :rule aci_norm :args ((= @t72 @t71))) % 0.13/1.00 (step @p66 :rule cong :premises (@p65) :args ((forall @t10 @t72))) % 0.13/1.00 (step @p67 :rule trans :premises (@p66 @p64)) % 0.13/1.00 (step @p68 :rule aci_norm :args ((= (or @t67 (or @t66 @t63)) @t72))) % 0.13/1.00 (step @p69 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 0.13/1.00 (step @p70 :rule refl :args (@t66)) % 0.13/1.00 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t66 (not (and @t46 @t45))))) % 0.13/1.00 (step @p72 :rule bool-and-de-morgan :args (@t47 @t46 (and @t45))) % 0.13/1.00 (step @p73 :rule trans :premises (@p72 @p71)) % 0.13/1.00 (step @p74 :rule refl :args (@t67)) % 0.13/1.00 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t67 (not (and @t47 @t46 @t45))))) % 0.13/1.00 (step @p76 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46 @t45))) % 0.13/1.00 (step @p77 :rule trans :premises (@p76 @p75)) % 0.13/1.00 (step @p78 :rule trans :premises (@p77 @p68)) % 0.13/1.00 (step @p79 :rule cong :premises (@p78) :args (@t73)) % 0.13/1.00 (step @p80 :rule trans :premises (@p79 @p67)) % 0.13/1.00 (step @p81 :rule cong :premises (@p80) :args (@t74)) % 0.13/1.00 (step @p82 :rule exists-elim :args ((= @t50 @t74))) % 0.13/1.00 (step @p83 :rule trans :premises (@p82 @p81)) % 0.13/1.00 (step @p84 :rule cong :premises (@p83) :args (@t51)) % 0.13/1.00 (step @p85 :rule trans :premises (@p84 @p63)) % 0.13/1.00 (step @p86 :rule eq_resolve :premises (@p45 @p85)) % 0.13/1.00 (step @p87 :rule chain_m_resolution :premises (@p86 @p62) :args (@t69 @t65 (@list @t64))) % 0.13/1.00 (assume-push @p106 @t69) % 0.13/1.00 (step @p89 :rule instantiate :premises (@p106) :args ((@list tptp.v500))) % 0.13/1.00 (step-pop @p107 :rule scope :premises (@p89)) % 0.13/1.00 (step @p90 :rule process_scope :premises (@p107) :args (@t77)) % 0.13/1.00 (step @p92 :rule implies_elim :premises (@p90)) % 0.13/1.00 (step @p93 :rule chain_m_resolution :premises (@p92 @p87) :args (@t77 (@list false) (@list @t69))) % 0.13/1.00 (step @p94 :rule cnf_or_pos :args (@t77)) % 0.13/1.00 (step @p95 :rule reordering :premises (@p94) :args ((or @t53 @t76 (not @t77)))) % 0.13/1.00 (step @p96 :rule chain_m_resolution :premises (@p95 @p41 @p93) :args (@t76 @t54 (@list @t43 @t77))) % 0.13/1.00 (step @p97 :rule cnf_and_neg :args (@t78)) % 0.13/1.00 (step @p98 :rule reordering :premises (@p97) :args ((or (not @t41) (not @t44) @t78))) % 0.13/1.00 (step @p99 :rule chain_m_resolution :premises (@p98 @p36 @p43) :args (@t78 @t54 (@list @t41 @t44))) % 0.13/1.00 (step @p100 :rule instantiate :premises (@p14) :args ((@list tptp.v500 tptp.v0 tptp.v800))) % 0.13/1.00 (step @p101 :rule cnf_equiv_pos2 :args (@t79)) % 0.13/1.00 (step @p102 :rule reordering :premises (@p101) :args ((or @t75 (not @t78) (not @t79)))) % 0.13/1.00 (step @p103 false :rule chain_m_resolution :premises (@p102 @p100 @p99 @p96) :args (false (@list false false true) (@list @t79 @t78 @t75))) % 0.13/1.00 ) % 0.13/1.00 % SZS output end Proof % 0.13/1.00 % cvc5 exiting %------------------------------------------------------------------------------