%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LDA007-2 : TPTP v9.2.1. Bugfixed v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:35:17 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LDA007-2 : TPTP v9.2.1. Bugfixed v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n027.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 09:33:36 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Unsatisfiable % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.tsk $$unsorted) % 0.30/0.54 (declare-const tptp.stk $$unsorted) % 0.30/0.54 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.54 (declare-const tptp.ttk $$unsorted) % 0.30/0.54 (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.54 (declare-const tptp.t $$unsorted) % 0.30/0.54 (declare-const tptp.ts $$unsorted) % 0.30/0.54 (declare-const tptp.tt $$unsorted) % 0.30/0.54 (declare-const tptp.critical_point (-> $$unsorted $$unsorted)) % 0.30/0.54 (declare-const tptp.k $$unsorted) % 0.30/0.54 (declare-const tptp.s $$unsorted) % 0.30/0.54 (declare-const tptp.sk $$unsorted) % 0.30/0.54 (declare-const tptp.st $$unsorted) % 0.30/0.54 (declare-const tptp.tt_ts $$unsorted) % 0.30/0.54 (declare-const tptp.tk $$unsorted) % 0.30/0.54 (define @t1 () (@var "Z" $$unsorted)) % 0.30/0.54 (define @t2 () (@var "X" $$unsorted)) % 0.30/0.54 (define @t3 () (@var "Y" $$unsorted)) % 0.30/0.54 (define @t4 () (tptp.f @t2 @t3)) % 0.30/0.54 (define @t5 () (@list @t2 @t3 @t1)) % 0.30/0.54 (define @t6 () (@var "V" $$unsorted)) % 0.30/0.54 (define @t7 () (@var "U" $$unsorted)) % 0.30/0.54 (define @t8 () (tptp.a @t7 @t2)) % 0.30/0.54 (define @t9 () (tptp.less @t2 @t8)) % 0.30/0.54 (define @t10 () (@list @t2 @t7)) % 0.30/0.54 (define @t11 () (= @t8 @t2)) % 0.30/0.54 (define @t12 () (tptp.less @t2 (tptp.critical_point @t7))) % 0.30/0.54 (define @t13 () (tptp.f tptp.t tptp.t)) % 0.30/0.54 (define @t14 () (= tptp.tt @t13)) % 0.30/0.54 (define @t15 () (tptp.f tptp.t tptp.s)) % 0.30/0.54 (define @t16 () (= tptp.ts @t15)) % 0.30/0.54 (define @t17 () (= tptp.tt_ts (tptp.f tptp.tt tptp.ts))) % 0.30/0.54 (define @t18 () (tptp.f tptp.t tptp.k)) % 0.30/0.54 (define @t19 () (= tptp.tk @t18)) % 0.30/0.54 (define @t20 () (tptp.f tptp.ts tptp.k)) % 0.30/0.54 (define @t21 () (= tptp.tsk @t20)) % 0.30/0.54 (define @t22 () (= (tptp.f tptp.t tptp.tsk) (tptp.f tptp.tt_ts tptp.tk))) % 0.30/0.54 (define @t23 () (not @t22)) % 0.30/0.54 (define @t24 () (tptp.f tptp.t tptp.ts)) % 0.30/0.54 (define @t25 () (tptp.f @t24 @t18)) % 0.30/0.54 (define @t26 () (tptp.f tptp.t @t20)) % 0.30/0.54 (define @t27 () (= @t26 @t25)) % 0.30/0.54 (define @t28 () (not @t27)) % 0.30/0.54 (define @t29 () (tptp.f @t13 @t15)) % 0.30/0.54 (define @t30 () (= (tptp.f tptp.t @t15) @t29)) % 0.30/0.54 (define @t31 () (not @t30)) % 0.30/0.54 (define @t32 () (not @t21)) % 0.30/0.54 (define @t33 () (not @t19)) % 0.30/0.54 (define @t34 () (not @t17)) % 0.30/0.54 (define @t35 () (not @t16)) % 0.30/0.54 (define @t36 () (not @t14)) % 0.30/0.54 (define @t37 () (and @t14 @t16 @t17 @t19 @t21 @t23 @t30)) % 0.30/0.54 (assume @p1 (forall @t5 (= (tptp.f @t2 (tptp.f @t3 @t1)) (tptp.f @t4 (tptp.f @t2 @t1))))) % 0.30/0.54 (assume @p2 (forall @t5 (= (tptp.a @t2 (tptp.a @t3 @t1)) (tptp.a @t4 (tptp.a @t2 @t1))))) % 0.30/0.54 (assume @p3 (forall (@list @t7 @t6) (= (tptp.critical_point (tptp.f @t7 @t6)) (tptp.a @t7 (tptp.critical_point @t6))))) % 0.30/0.54 (assume @p4 (forall (@list @t2) (not (tptp.less @t2 @t2)))) % 0.30/0.54 (assume @p5 (forall (@list @t2 @t3 @t7) (or (not (tptp.less @t2 @t3)) (tptp.less @t8 (tptp.a @t7 @t3))))) % 0.30/0.54 (assume @p6 (forall @t10 (or (= @t2 @t8) @t9))) % 0.30/0.54 (assume @p7 (forall @t10 (or (not @t12) @t11))) % 0.30/0.54 (assume @p8 (forall @t10 (or @t12 @t9))) % 0.30/0.54 (assume @p9 (forall (@list @t7 @t2 @t6) (or (not @t11) (= (tptp.a (tptp.f @t6 @t7) @t2) @t2)))) % 0.30/0.54 (assume @p10 @t14) % 0.30/0.54 (assume @p11 (= tptp.st (tptp.f tptp.s tptp.t))) % 0.30/0.54 (assume @p12 @t16) % 0.30/0.54 (assume @p13 @t17) % 0.30/0.54 (assume @p14 (= tptp.k (tptp.critical_point tptp.t))) % 0.30/0.54 (assume @p15 (= tptp.sk (tptp.f tptp.s tptp.k))) % 0.30/0.54 (assume @p16 @t19) % 0.30/0.54 (assume @p17 (= tptp.stk (tptp.f tptp.st tptp.k))) % 0.30/0.54 (assume @p18 @t21) % 0.30/0.54 (assume @p19 (= tptp.ttk (tptp.f tptp.tt tptp.k))) % 0.30/0.54 (assume @p20 @t23) % 0.30/0.54 (step @p21 :rule instantiate :premises (@p1) :args ((@list tptp.t tptp.t tptp.s))) % 0.30/0.54 (step @p22 :rule instantiate :premises (@p1) :args ((@list tptp.t tptp.ts tptp.k))) % 0.30/0.54 (step @p23 :rule refl :args (@t28)) % 0.30/0.54 (step @p24 :rule refl :args (@t31)) % 0.30/0.54 (step @p25 :rule bool-double-not-elim :args (@t22)) % 0.30/0.54 (step @p26 :rule refl :args (@t32)) % 0.30/0.54 (step @p27 :rule refl :args (@t33)) % 0.30/0.54 (step @p28 :rule refl :args (@t34)) % 0.30/0.54 (step @p29 :rule refl :args (@t35)) % 0.30/0.54 (step @p30 :rule refl :args (@t36)) % 0.30/0.54 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23) :args ((or @t36 @t35 @t34 @t33 @t32 (not @t23) @t31 @t28))) % 0.30/0.54 (assume-push @p68 @t14) % 0.30/0.54 (assume-push @p69 @t16) % 0.30/0.54 (assume-push @p70 @t17) % 0.30/0.54 (assume-push @p71 @t19) % 0.30/0.54 (assume-push @p72 @t21) % 0.30/0.54 (assume-push @p73 @t23) % 0.30/0.54 (assume-push @p74 @t30) % 0.30/0.54 (step @p39 :rule false_intro :premises (@p20)) % 0.30/0.54 (step @p40 :rule symm :premises (@p16)) % 0.30/0.54 (step @p41 :rule symm :premises (@p13)) % 0.30/0.54 (step @p42 :rule symm :premises (@p12)) % 0.30/0.54 (step @p43 :rule symm :premises (@p10)) % 0.30/0.54 (step @p44 :rule cong :premises (@p43 @p42) :args (@t29)) % 0.30/0.54 (step @p45 :rule refl :args (tptp.t)) % 0.30/0.54 (step @p46 :rule cong :premises (@p45 @p12) :args (@t24)) % 0.30/0.54 (step @p47 :rule trans :premises (@p46 @p21 @p44 @p41)) % 0.30/0.54 (step @p48 :rule cong :premises (@p47 @p40) :args (@t25)) % 0.30/0.54 (step @p49 :rule symm :premises (@p18)) % 0.30/0.54 (step @p50 :rule cong :premises (@p45 @p49) :args (@t26)) % 0.30/0.54 (step @p51 :rule cong :premises (@p50 @p48) :args (@t27)) % 0.30/0.54 (step @p52 :rule trans :premises (@p51 @p39)) % 0.30/0.54 (step @p53 :rule false_elim :premises (@p52)) % 0.30/0.54 (step-pop @p75 :rule scope :premises (@p53)) % 0.30/0.54 (step-pop @p76 :rule scope :premises (@p75)) % 0.30/0.54 (step-pop @p77 :rule scope :premises (@p76)) % 0.30/0.54 (step-pop @p78 :rule scope :premises (@p77)) % 0.30/0.54 (step-pop @p79 :rule scope :premises (@p78)) % 0.30/0.54 (step-pop @p80 :rule scope :premises (@p79)) % 0.30/0.54 (step-pop @p81 :rule scope :premises (@p80)) % 0.30/0.54 (step @p54 :rule process_scope :premises (@p81) :args (@t28)) % 0.30/0.54 (step @p62 :rule implies_elim :premises (@p54)) % 0.30/0.54 (step @p63 :rule cnf_and_neg :args (@t37)) % 0.30/0.54 (step @p64 :rule resolution :premises (@p63 @p62) :args (true @t37)) % 0.30/0.54 (step @p65 :rule eq_resolve :premises (@p64 @p31)) % 0.30/0.54 (step @p66 :rule reordering :premises (@p65) :args ((or @t22 @t36 @t35 @t34 @t33 @t32 @t31 @t28))) % 0.30/0.54 (step @p67 false :rule chain_m_resolution :premises (@p66 @p22 @p21 @p20 @p18 @p16 @p13 @p12 @p10) :args (false (@list false false true false false false false false) (@list @t27 @t30 @t22 @t21 @t19 @t17 @t16 @t14))) % 0.30/0.54 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------