%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT087+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 : n016.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 0.21s 0.54s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT087+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 % 0.10/0.37 % Computer : n016.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Mon Sep 7 14:25:47 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.54 % SZS status Theorem % 0.21/0.54 % SZS output start Proof % 0.21/0.54 ( % 0.21/0.54 (declare-sort $$unsorted 0) % 0.21/0.54 (declare-const tptp.box_verdict (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.54 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.in_ropen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.axis_compatible (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.val (-> $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.conflict $$unsorted) % 0.21/0.54 (declare-const tptp.in_lopen (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.v0 $$unsorted) % 0.21/0.54 (declare-const tptp.in_open (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.axis_conflict (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.v200 $$unsorted) % 0.21/0.54 (declare-const tptp.is_verdict (-> $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.axis_subsumes (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.v600 $$unsorted) % 0.21/0.54 (declare-const tptp.compatible $$unsorted) % 0.21/0.54 (declare-const tptp.in_closed (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.unknown $$unsorted) % 0.21/0.54 (define @t1 () (@var "X" $$unsorted)) % 0.21/0.54 (define @t2 () (@list @t1)) % 0.21/0.54 (define @t3 () (@var "Z" $$unsorted)) % 0.21/0.54 (define @t4 () (tptp.less @t1 @t3)) % 0.21/0.54 (define @t5 () (@var "Y" $$unsorted)) % 0.21/0.54 (define @t6 () (tptp.less @t5 @t3)) % 0.21/0.54 (define @t7 () (tptp.less @t1 @t5)) % 0.21/0.54 (define @t8 () (@list @t1 @t5 @t3)) % 0.21/0.54 (define @t9 () (= @t1 @t5)) % 0.21/0.54 (define @t10 () (@list @t1 @t5)) % 0.21/0.54 (define @t11 () (tptp.leq @t1 @t5)) % 0.21/0.54 (define @t12 () (tptp.leq @t5 @t3)) % 0.21/0.54 (define @t13 () (@var "B" $$unsorted)) % 0.21/0.54 (define @t14 () (tptp.leq @t1 @t13)) % 0.21/0.54 (define @t15 () (@var "A" $$unsorted)) % 0.21/0.54 (define @t16 () (tptp.leq @t15 @t1)) % 0.21/0.54 (define @t17 () (@list @t1 @t15 @t13)) % 0.21/0.54 (define @t18 () (tptp.less @t15 @t1)) % 0.21/0.54 (define @t19 () (tptp.less @t1 @t13)) % 0.21/0.54 (define @t20 () (@var "I2hi" $$unsorted)) % 0.21/0.54 (define @t21 () (@var "I2lo" $$unsorted)) % 0.21/0.54 (define @t22 () (tptp.in_closed @t1 @t21 @t20)) % 0.21/0.54 (define @t23 () (@var "I1hi" $$unsorted)) % 0.21/0.54 (define @t24 () (@var "I1lo" $$unsorted)) % 0.21/0.54 (define @t25 () (tptp.in_closed @t1 @t24 @t23)) % 0.21/0.54 (define @t26 () (exists @t2 (and @t25 @t22))) % 0.21/0.54 (define @t27 () (@list @t24 @t23 @t21 @t20)) % 0.21/0.54 (define @t28 () (@var "V" $$unsorted)) % 0.21/0.54 (define @t29 () (@var "V2" $$unsorted)) % 0.21/0.54 (define @t30 () (@var "V1" $$unsorted)) % 0.21/0.54 (define @t31 () (tptp.box_verdict @t30 @t29)) % 0.21/0.54 (define @t32 () (= @t31 tptp.conflict)) % 0.21/0.54 (define @t33 () (= @t29 tptp.conflict)) % 0.21/0.54 (define @t34 () (= @t30 tptp.conflict)) % 0.21/0.54 (define @t35 () (tptp.is_verdict @t29)) % 0.21/0.54 (define @t36 () (tptp.is_verdict @t30)) % 0.21/0.54 (define @t37 () (@list @t30 @t29)) % 0.21/0.54 (define @t38 () (= @t31 tptp.compatible)) % 0.21/0.54 (define @t39 () (= @t31 tptp.unknown)) % 0.21/0.54 (define @t40 () (tptp.less tptp.v0 tptp.v200)) % 0.21/0.54 (define @t41 () (tptp.less tptp.v200 tptp.v600)) % 0.21/0.54 (define @t42 () (= tptp.v200 tptp.v600)) % 0.21/0.54 (define @t43 () (tptp.in_lopen @t1 tptp.v0 tptp.v600)) % 0.21/0.54 (define @t44 () (exists @t2 @t43)) % 0.21/0.54 (define @t45 () (not @t44)) % 0.21/0.54 (define @t46 () (forall @t2 (not @t43))) % 0.21/0.54 (define @t47 () (or @t41 @t42)) % 0.21/0.54 (define @t48 () (tptp.leq tptp.v200 tptp.v600)) % 0.21/0.54 (define @t49 () (= @t48 @t47)) % 0.21/0.54 (define @t50 () (@list false false)) % 0.21/0.54 (define @t51 () (and @t40 @t48)) % 0.21/0.54 (define @t52 () (tptp.in_lopen tptp.v200 tptp.v0 tptp.v600)) % 0.21/0.54 (define @t53 () (= @t52 @t51)) % 0.21/0.54 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.21/0.54 (assume @p2 (forall @t8 (=> (and @t7 @t6) @t4))) % 0.21/0.54 (assume @p3 (forall @t10 (or @t7 @t9 (tptp.less @t5 @t1)))) % 0.21/0.54 (assume @p4 (forall @t10 (= @t11 (or @t7 @t9)))) % 0.21/0.54 (assume @p5 (forall @t10 (=> (and @t11 (tptp.leq @t5 @t1)) @t9))) % 0.21/0.54 (assume @p6 (forall @t10 (=> @t7 @t11))) % 0.21/0.54 (assume @p7 (forall @t8 (=> (and @t11 @t6) @t4))) % 0.21/0.54 (assume @p8 (forall @t8 (=> (and @t7 @t12) @t4))) % 0.21/0.54 (assume @p9 (forall @t8 (=> (and @t11 @t12) (tptp.leq @t1 @t3)))) % 0.21/0.54 (assume @p10 (forall @t17 (= (tptp.in_closed @t1 @t15 @t13) (and @t16 @t14)))) % 0.21/0.54 (assume @p11 (forall @t17 (= (tptp.in_lopen @t1 @t15 @t13) (and @t18 @t14)))) % 0.21/0.54 (assume @p12 (forall @t17 (= (tptp.in_ropen @t1 @t15 @t13) (and @t16 @t19)))) % 0.21/0.54 (assume @p13 (forall @t17 (= (tptp.in_open @t1 @t15 @t13) (and @t18 @t19)))) % 0.21/0.54 (assume @p14 (forall @t27 (= (tptp.axis_conflict @t24 @t23 @t21 @t20) (not @t26)))) % 0.21/0.54 (assume @p15 (forall @t27 (= (tptp.axis_compatible @t24 @t23 @t21 @t20) @t26))) % 0.21/0.54 (assume @p16 (forall @t27 (= (tptp.axis_subsumes @t24 @t23 @t21 @t20) (forall @t2 (=> @t25 @t22))))) % 0.21/0.54 (assume @p17 (tptp.is_verdict tptp.conflict)) % 0.21/0.54 (assume @p18 (tptp.is_verdict tptp.compatible)) % 0.21/0.54 (assume @p19 (tptp.is_verdict tptp.unknown)) % 0.21/0.54 (assume @p20 (not (= tptp.conflict tptp.compatible))) % 0.21/0.54 (assume @p21 (not (= tptp.conflict tptp.unknown))) % 0.21/0.54 (assume @p22 (not (= tptp.compatible tptp.unknown))) % 0.21/0.54 (assume @p23 (forall (@list @t28) (=> (tptp.is_verdict @t28) (or (= @t28 tptp.conflict) (= @t28 tptp.compatible) (= @t28 tptp.unknown))))) % 0.21/0.54 (assume @p24 (forall @t37 (=> (and @t36 @t35 (or @t34 @t33)) @t32))) % 0.21/0.54 (assume @p25 (forall @t37 (=> (and @t36 @t35 (= @t30 tptp.compatible) (= @t29 tptp.compatible)) @t38))) % 0.21/0.54 (assume @p26 (forall @t37 (=> (and @t36 @t35 (or (= @t30 tptp.unknown) (= @t29 tptp.unknown)) (not @t34) (not @t33)) @t39))) % 0.21/0.54 (assume @p27 (forall @t37 (=> (and @t36 @t35) (or @t32 @t38 @t39)))) % 0.21/0.54 (assume @p28 (tptp.val tptp.v0)) % 0.21/0.54 (assume @p29 (tptp.val tptp.v200)) % 0.21/0.54 (assume @p30 (tptp.val tptp.v600)) % 0.21/0.54 (assume @p31 @t40) % 0.21/0.54 (assume @p32 (tptp.less tptp.v0 tptp.v600)) % 0.21/0.54 (assume @p33 @t41) % 0.21/0.54 (assume @p34 (and (not (= tptp.v0 tptp.v200)) (not (= tptp.v0 tptp.v600)) (not @t42))) % 0.21/0.54 (assume @p35 @t45) % 0.21/0.54 (assume @p36 true) % 0.21/0.54 (step @p37 :rule bool-double-not-elim :args (@t46)) % 0.21/0.54 (step @p38 :rule exists-elim :args ((= @t44 (not @t46)))) % 0.21/0.54 (step @p39 :rule cong :premises (@p38) :args (@t45)) % 0.21/0.54 (step @p40 :rule trans :premises (@p39 @p37)) % 0.21/0.54 (step @p41 :rule eq_resolve :premises (@p35 @p40)) % 0.21/0.54 (step @p42 :rule instantiate :premises (@p11) :args ((@list tptp.v200 tptp.v0 tptp.v600))) % 0.21/0.54 (step @p43 :rule instantiate :premises (@p4) :args ((@list tptp.v200 tptp.v600))) % 0.21/0.54 (step @p44 :rule cnf_or_neg :args (@t47 0)) % 0.21/0.54 (step @p45 :rule reordering :premises (@p44) :args ((or (not @t41) @t47))) % 0.21/0.54 (step @p46 :rule chain_m_resolution :premises (@p45 @p33) :args (@t47 (@list false) (@list @t41))) % 0.21/0.55 (step @p47 :rule cnf_equiv_pos2 :args (@t49)) % 0.21/0.55 (step @p48 :rule reordering :premises (@p47) :args ((or @t48 (not @t47) (not @t49)))) % 0.21/0.55 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p43) :args (@t48 @t50 (@list @t47 @t49))) % 0.21/0.55 (step @p50 :rule cnf_and_neg :args (@t51)) % 0.21/0.55 (step @p51 :rule reordering :premises (@p50) :args ((or (not @t40) (not @t48) @t51))) % 0.21/0.55 (step @p52 :rule chain_m_resolution :premises (@p51 @p31 @p49) :args (@t51 @t50 (@list @t40 @t48))) % 0.21/0.55 (step @p53 :rule cnf_equiv_pos2 :args (@t53)) % 0.21/0.55 (step @p54 :rule reordering :premises (@p53) :args ((or @t52 (not @t51) (not @t53)))) % 0.21/0.55 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p42) :args (@t52 @t50 (@list @t51 @t53))) % 0.21/0.55 (assume-push @p62 @t46) % 0.21/0.55 (step @p57 :rule instantiate :premises (@p41) :args ((@list tptp.v200))) % 0.21/0.55 (step-pop @p63 :rule scope :premises (@p57)) % 0.21/0.55 (step @p58 :rule process_scope :premises (@p63) :args ((not @t52))) % 0.21/0.55 (step @p60 :rule implies_elim :premises (@p58)) % 0.21/0.55 (step @p61 false :rule chain_m_resolution :premises (@p60 @p55 @p41) :args (false @t50 (@list @t52 @t46))) % 0.21/0.55 ) % 0.21/0.55 % SZS output end Proof % 0.21/0.55 % cvc5 exiting %------------------------------------------------------------------------------