%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT090+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 : n011.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 0.21s 0.53s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT090+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n011.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 14:23:00 UTC 2026 % 0.10/0.37 % CPUTime : % 0.14/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.53 % SZS status Theorem % 0.21/0.53 % SZS output start Proof % 0.21/0.53 ( % 0.21/0.53 (declare-sort $$unsorted 0) % 0.21/0.53 (declare-const tptp.v600 $$unsorted) % 0.21/0.53 (declare-const tptp.v1200 $$unsorted) % 0.21/0.53 (declare-const tptp.sem_nonempty (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.gt $$unsorted) % 0.21/0.53 (declare-const tptp.lt $$unsorted) % 0.21/0.53 (declare-const tptp.gteq $$unsorted) % 0.21/0.53 (declare-const tptp.lteq $$unsorted) % 0.21/0.53 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.53 (declare-const tptp.v0 $$unsorted) % 0.21/0.53 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.is_op (-> $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.wf (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.conflict $$unsorted) % 0.21/0.53 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.val (-> $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.eq $$unsorted) % 0.21/0.53 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.compatible $$unsorted) % 0.21/0.53 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.53 (declare-const tptp.unknown $$unsorted) % 0.21/0.53 (define @t1 () (@var "X" $$unsorted)) % 0.21/0.53 (define @t2 () (@list @t1)) % 0.21/0.53 (define @t3 () (@var "Z" $$unsorted)) % 0.21/0.53 (define @t4 () (tptp.less @t1 @t3)) % 0.21/0.53 (define @t5 () (@var "Y" $$unsorted)) % 0.21/0.53 (define @t6 () (tptp.less @t5 @t3)) % 0.21/0.53 (define @t7 () (tptp.less @t1 @t5)) % 0.21/0.53 (define @t8 () (@list @t1 @t5 @t3)) % 0.21/0.53 (define @t9 () (= @t1 @t5)) % 0.21/0.53 (define @t10 () (@list @t1 @t5)) % 0.21/0.53 (define @t11 () (tptp.leq @t1 @t5)) % 0.21/0.53 (define @t12 () (tptp.leq @t5 @t3)) % 0.21/0.53 (define @t13 () (@var "B" $$unsorted)) % 0.21/0.53 (define @t14 () (tptp.leq @t1 @t13)) % 0.21/0.53 (define @t15 () (@var "A" $$unsorted)) % 0.21/0.53 (define @t16 () (tptp.leq @t15 @t1)) % 0.21/0.53 (define @t17 () (@list @t1 @t15 @t13)) % 0.21/0.53 (define @t18 () (tptp.less @t15 @t1)) % 0.21/0.53 (define @t19 () (tptp.less @t1 @t13)) % 0.21/0.53 (define @t20 () (@var "I2hi" $$unsorted)) % 0.21/0.53 (define @t21 () (@var "I2lo" $$unsorted)) % 0.21/0.53 (define @t22 () (tptp.in_closed @t1 @t21 @t20)) % 0.21/0.53 (define @t23 () (@var "I1hi" $$unsorted)) % 0.21/0.53 (define @t24 () (@var "I1lo" $$unsorted)) % 0.21/0.53 (define @t25 () (tptp.in_closed @t1 @t24 @t23)) % 0.21/0.53 (define @t26 () (exists @t2 (and @t25 @t22))) % 0.21/0.53 (define @t27 () (@list @t24 @t23 @t21 @t20)) % 0.21/0.53 (define @t28 () (@var "V" $$unsorted)) % 0.21/0.53 (define @t29 () (@var "V2" $$unsorted)) % 0.21/0.53 (define @t30 () (@var "V1" $$unsorted)) % 0.21/0.53 (define @t31 () (tptp.box_verdict @t30 @t29)) % 0.21/0.53 (define @t32 () (= @t31 tptp.conflict)) % 0.21/0.53 (define @t33 () (= @t29 tptp.conflict)) % 0.21/0.53 (define @t34 () (= @t30 tptp.conflict)) % 0.21/0.53 (define @t35 () (tptp.is_verdict @t29)) % 0.21/0.53 (define @t36 () (tptp.is_verdict @t30)) % 0.21/0.53 (define @t37 () (@list @t30 @t29)) % 0.21/0.53 (define @t38 () (= @t31 tptp.compatible)) % 0.21/0.53 (define @t39 () (= @t31 tptp.unknown)) % 0.21/0.53 (define @t40 () (@var "SupD" $$unsorted)) % 0.21/0.53 (define @t41 () (tptp.leq @t28 @t40)) % 0.21/0.53 (define @t42 () (@var "InfD" $$unsorted)) % 0.21/0.53 (define @t43 () (tptp.leq @t42 @t28)) % 0.21/0.53 (define @t44 () (and @t43 @t41)) % 0.21/0.53 (define @t45 () (tptp.wf tptp.eq @t28 @t42 @t40)) % 0.21/0.53 (define @t46 () (@list @t28 @t42 @t40)) % 0.21/0.53 (define @t47 () (tptp.wf tptp.lteq @t28 @t42 @t40)) % 0.21/0.53 (define @t48 () (tptp.wf tptp.gteq @t28 @t42 @t40)) % 0.21/0.53 (define @t49 () (tptp.wf tptp.lt @t28 @t42 @t40)) % 0.21/0.53 (define @t50 () (forall @t46 (= @t49 (and @t43 @t41 (not (= @t28 @t42)))))) % 0.21/0.53 (define @t51 () (tptp.wf tptp.gt @t28 @t42 @t40)) % 0.21/0.53 (define @t52 () (@var "Op" $$unsorted)) % 0.21/0.53 (define @t53 () (tptp.less tptp.v0 tptp.v600)) % 0.21/0.53 (define @t54 () (tptp.less tptp.v600 tptp.v1200)) % 0.21/0.53 (define @t55 () (= tptp.v600 tptp.v1200)) % 0.21/0.53 (define @t56 () (= tptp.v0 tptp.v600)) % 0.21/0.53 (define @t57 () (not @t56)) % 0.21/0.53 (define @t58 () (tptp.wf tptp.lt tptp.v600 tptp.v0 tptp.v1200)) % 0.21/0.53 (define @t59 () (not (= tptp.v600 tptp.v0))) % 0.21/0.53 (define @t60 () (tptp.leq tptp.v600 tptp.v1200)) % 0.21/0.53 (define @t61 () (tptp.leq tptp.v0 tptp.v600)) % 0.21/0.53 (define @t62 () (and @t61 @t60 @t59)) % 0.21/0.53 (define @t63 () (= @t58 @t62)) % 0.21/0.53 (define @t64 () (and @t61 @t60 @t57)) % 0.21/0.53 (define @t65 () (= @t58 @t64)) % 0.21/0.53 (define @t66 () (@list false)) % 0.21/0.53 (define @t67 () (not @t64)) % 0.21/0.53 (define @t68 () (or @t53 @t56)) % 0.21/0.53 (define @t69 () (= @t61 @t68)) % 0.21/0.53 (define @t70 () (@list false false)) % 0.21/0.53 (define @t71 () (or @t54 @t55)) % 0.21/0.53 (define @t72 () (= @t60 @t71)) % 0.21/0.53 (define @t73 () (not @t60)) % 0.21/0.53 (define @t74 () (not @t61)) % 0.21/0.53 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.21/0.53 (assume @p2 (forall @t8 (=> (and @t7 @t6) @t4))) % 0.21/0.53 (assume @p3 (forall @t10 (or @t7 @t9 (tptp.less @t5 @t1)))) % 0.21/0.53 (assume @p4 (forall @t10 (= @t11 (or @t7 @t9)))) % 0.21/0.53 (assume @p5 (forall @t10 (=> (and @t11 (tptp.leq @t5 @t1)) @t9))) % 0.21/0.53 (assume @p6 (forall @t10 (=> @t7 @t11))) % 0.21/0.53 (assume @p7 (forall @t8 (=> (and @t11 @t6) @t4))) % 0.21/0.53 (assume @p8 (forall @t8 (=> (and @t7 @t12) @t4))) % 0.21/0.53 (assume @p9 (forall @t8 (=> (and @t11 @t12) (tptp.leq @t1 @t3)))) % 0.21/0.53 (assume @p10 (forall @t17 (= (tptp.in_closed @t1 @t15 @t13) (and @t16 @t14)))) % 0.21/0.53 (assume @p11 (forall @t17 (= (tptp.in_lopen @t1 @t15 @t13) (and @t18 @t14)))) % 0.21/0.53 (assume @p12 (forall @t17 (= (tptp.in_ropen @t1 @t15 @t13) (and @t16 @t19)))) % 0.21/0.53 (assume @p13 (forall @t17 (= (tptp.in_open @t1 @t15 @t13) (and @t18 @t19)))) % 0.21/0.53 (assume @p14 (forall @t27 (= (tptp.axis_conflict @t24 @t23 @t21 @t20) (not @t26)))) % 0.21/0.53 (assume @p15 (forall @t27 (= (tptp.axis_compatible @t24 @t23 @t21 @t20) @t26))) % 0.21/0.53 (assume @p16 (forall @t27 (= (tptp.axis_subsumes @t24 @t23 @t21 @t20) (forall @t2 (=> @t25 @t22))))) % 0.21/0.53 (assume @p17 (tptp.is_verdict tptp.conflict)) % 0.21/0.53 (assume @p18 (tptp.is_verdict tptp.compatible)) % 0.21/0.53 (assume @p19 (tptp.is_verdict tptp.unknown)) % 0.21/0.53 (assume @p20 (not (= tptp.conflict tptp.compatible))) % 0.21/0.53 (assume @p21 (not (= tptp.conflict tptp.unknown))) % 0.21/0.53 (assume @p22 (not (= tptp.compatible tptp.unknown))) % 0.21/0.53 (assume @p23 (forall (@list @t28) (=> (tptp.is_verdict @t28) (or (= @t28 tptp.conflict) (= @t28 tptp.compatible) (= @t28 tptp.unknown))))) % 0.21/0.53 (assume @p24 (forall @t37 (=> (and @t36 @t35 (or @t34 @t33)) @t32))) % 0.21/0.53 (assume @p25 (forall @t37 (=> (and @t36 @t35 (= @t30 tptp.compatible) (= @t29 tptp.compatible)) @t38))) % 0.21/0.53 (assume @p26 (forall @t37 (=> (and @t36 @t35 (or (= @t30 tptp.unknown) (= @t29 tptp.unknown)) (not @t34) (not @t33)) @t39))) % 0.21/0.53 (assume @p27 (forall @t37 (=> (and @t36 @t35) (or @t32 @t38 @t39)))) % 0.21/0.53 (assume @p28 (forall @t46 (= @t45 @t44))) % 0.21/0.53 (assume @p29 (forall @t46 (= @t47 @t44))) % 0.21/0.53 (assume @p30 (forall @t46 (= @t48 @t44))) % 0.21/0.53 (assume @p31 @t50) % 0.21/0.53 (assume @p32 (forall @t46 (= @t51 (and @t43 @t41 (not (= @t28 @t40)))))) % 0.21/0.53 (assume @p33 (forall @t46 (=> @t45 (tptp.sem_nonempty tptp.eq @t28 @t42 @t40)))) % 0.21/0.53 (assume @p34 (forall @t46 (=> @t47 (tptp.sem_nonempty tptp.lteq @t28 @t42 @t40)))) % 0.21/0.53 (assume @p35 (forall @t46 (=> @t48 (tptp.sem_nonempty tptp.gteq @t28 @t42 @t40)))) % 0.21/0.53 (assume @p36 (forall @t46 (=> @t49 (tptp.sem_nonempty tptp.lt @t28 @t42 @t40)))) % 0.21/0.53 (assume @p37 (forall @t46 (=> @t51 (tptp.sem_nonempty tptp.gt @t28 @t42 @t40)))) % 0.21/0.53 (assume @p38 (tptp.is_op tptp.eq)) % 0.21/0.53 (assume @p39 (tptp.is_op tptp.lt)) % 0.21/0.53 (assume @p40 (tptp.is_op tptp.lteq)) % 0.21/0.53 (assume @p41 (tptp.is_op tptp.gt)) % 0.21/0.53 (assume @p42 (tptp.is_op tptp.gteq)) % 0.21/0.53 (assume @p43 (not (= tptp.eq tptp.lt))) % 0.21/0.53 (assume @p44 (not (= tptp.eq tptp.lteq))) % 0.21/0.53 (assume @p45 (not (= tptp.eq tptp.gt))) % 0.21/0.53 (assume @p46 (not (= tptp.eq tptp.gteq))) % 0.21/0.53 (assume @p47 (not (= tptp.lt tptp.lteq))) % 0.21/0.53 (assume @p48 (not (= tptp.lt tptp.gt))) % 0.21/0.53 (assume @p49 (not (= tptp.lt tptp.gteq))) % 0.21/0.53 (assume @p50 (not (= tptp.lteq tptp.gt))) % 0.21/0.53 (assume @p51 (not (= tptp.lteq tptp.gteq))) % 0.21/0.53 (assume @p52 (not (= tptp.gt tptp.gteq))) % 0.21/0.53 (assume @p53 (forall (@list @t52) (=> (tptp.is_op @t52) (or (= @t52 tptp.eq) (= @t52 tptp.lt) (= @t52 tptp.lteq) (= @t52 tptp.gt) (= @t52 tptp.gteq))))) % 0.21/0.53 (assume @p54 (tptp.val tptp.v0)) % 0.21/0.53 (assume @p55 (tptp.val tptp.v600)) % 0.21/0.53 (assume @p56 (tptp.val tptp.v1200)) % 0.21/0.53 (assume @p57 @t53) % 0.21/0.53 (assume @p58 @t54) % 0.21/0.53 (assume @p59 (and @t57 (not (= tptp.v0 tptp.v1200)) (not @t55))) % 0.21/0.53 (assume @p60 (not @t58)) % 0.21/0.53 (assume @p61 true) % 0.21/0.53 (step @p62 :rule and_elim :premises (@p59) :args (0)) % 0.21/0.53 (step @p63 :rule eq-symm :args (tptp.v600 tptp.v0)) % 0.21/0.53 (step @p64 :rule cong :premises (@p63) :args (@t59)) % 0.21/0.53 (step @p65 :rule refl :args (@t60)) % 0.21/0.53 (step @p66 :rule refl :args (@t61)) % 0.21/0.53 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args (@t62)) % 0.21/0.53 (step @p68 :rule refl :args (@t58)) % 0.21/0.53 (step @p69 :rule cong :premises (@p68 @p67) :args (@t63)) % 0.21/0.53 (step @p70 :rule refl :args (@t50)) % 0.21/0.53 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t50 @t63))) % 0.21/0.53 (assume-push @p105 @t50) % 0.21/0.53 (step @p73 :rule instantiate :premises (@p31) :args ((@list tptp.v600 tptp.v0 tptp.v1200))) % 0.21/0.53 (step-pop @p106 :rule scope :premises (@p73)) % 0.21/0.53 (step @p74 :rule process_scope :premises (@p106) :args (@t63)) % 0.21/0.53 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.21/0.53 (step @p77 :rule implies_elim :premises (@p76)) % 0.21/0.53 (step @p78 :rule chain_m_resolution :premises (@p77 @p31) :args (@t65 @t66 (@list @t50))) % 0.21/0.53 (step @p79 :rule cnf_equiv_pos2 :args (@t65)) % 0.21/0.53 (step @p80 :rule reordering :premises (@p79) :args ((or @t58 @t67 (not @t65)))) % 0.21/0.53 (step @p81 :rule chain_m_resolution :premises (@p80 @p60 @p78) :args (@t67 (@list true false) (@list @t58 @t65))) % 0.21/0.53 (step @p82 :rule instantiate :premises (@p4) :args ((@list tptp.v0 tptp.v600))) % 0.21/0.53 (step @p83 :rule cnf_or_neg :args (@t68 0)) % 0.21/0.53 (step @p84 :rule reordering :premises (@p83) :args ((or (not @t53) @t68))) % 0.21/0.53 (step @p85 :rule chain_m_resolution :premises (@p84 @p57) :args (@t68 @t66 (@list @t53))) % 0.21/0.53 (step @p86 :rule cnf_equiv_pos2 :args (@t69)) % 0.21/0.53 (step @p87 :rule reordering :premises (@p86) :args ((or @t61 (not @t68) (not @t69)))) % 0.21/0.53 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p82) :args (@t61 @t70 (@list @t68 @t69))) % 0.21/0.53 (step @p89 :rule instantiate :premises (@p4) :args ((@list tptp.v600 tptp.v1200))) % 0.21/0.53 (step @p90 :rule cnf_or_neg :args (@t71 0)) % 0.21/0.53 (step @p91 :rule reordering :premises (@p90) :args ((or (not @t54) @t71))) % 0.21/0.53 (step @p92 :rule chain_m_resolution :premises (@p91 @p58) :args (@t71 @t66 (@list @t54))) % 0.21/0.53 (step @p93 :rule cnf_equiv_pos2 :args (@t72)) % 0.21/0.53 (step @p94 :rule reordering :premises (@p93) :args ((or @t60 (not @t71) (not @t72)))) % 0.21/0.53 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p89) :args (@t60 @t70 (@list @t71 @t72))) % 0.21/0.53 (step @p96 :rule bool-double-not-elim :args (@t56)) % 0.21/0.53 (step @p97 :rule refl :args (@t73)) % 0.21/0.53 (step @p98 :rule refl :args (@t74)) % 0.21/0.53 (step @p99 :rule refl :args (@t64)) % 0.21/0.53 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97 @p96) :args ((or @t64 @t74 @t73 (not @t57)))) % 0.21/0.53 (step @p101 :rule cnf_and_neg :args (@t64)) % 0.21/0.53 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.21/0.53 (step @p103 :rule reordering :premises (@p102) :args ((or @t56 @t64 @t74 @t73))) % 0.21/0.53 (step @p104 false :rule chain_m_resolution :premises (@p103 @p95 @p88 @p81 @p62) :args (false (@list false false true true) (@list @t60 @t61 @t64 @t56))) % 0.21/0.53 ) % 0.21/0.53 % SZS output end Proof % 0.21/0.53 % cvc5 exiting %------------------------------------------------------------------------------