%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO093^5 : TPTP v9.2.1. Released v4.0.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:12:01 AM UTC 2026 % Result : Theorem 0.63s 0.83s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO093^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:58:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.63/0.83 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.63/0.83 % SZS status Theorem % 0.63/0.83 % SZS output start Proof % 0.63/0.83 ( % 0.63/0.83 (declare-sort $$unsorted 0) % 0.63/0.83 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (define @t1 () (@var "Y" $$unsorted)) % 0.63/0.83 (define @t2 () (@var "X" $$unsorted)) % 0.63/0.83 (define @t3 () (_ (_ tptp.cP @t2) @t1)) % 0.63/0.83 (define @t4 () (@list @t1)) % 0.63/0.83 (define @t5 () (forall @t4 @t3)) % 0.63/0.83 (define @t6 () (@list @t2)) % 0.63/0.83 (define @t7 () (exists @t6 @t5)) % 0.63/0.83 (define @t8 () (@var "W" $$unsorted)) % 0.63/0.83 (define @t9 () (@var "V" $$unsorted)) % 0.63/0.83 (define @t10 () (_ (_ tptp.cP @t9) @t8)) % 0.63/0.83 (define @t11 () (@var "U" $$unsorted)) % 0.63/0.83 (define @t12 () (_ (_ tptp.cP @t11) @t9)) % 0.63/0.83 (define @t13 () (or @t12 @t10)) % 0.63/0.83 (define @t14 () (@list @t11 @t9 @t8)) % 0.63/0.83 (define @t15 () (forall @t14 @t13)) % 0.63/0.83 (define @t16 () (=> @t15 @t7)) % 0.63/0.83 (define @t17 () (not @t16)) % 0.63/0.83 (define @t18 () (tptp.cP @t2 @t1)) % 0.63/0.83 (define @t19 () (forall @t4 @t18)) % 0.63/0.83 (define @t20 () (tptp.cP @t9 @t8)) % 0.63/0.83 (define @t21 () (tptp.cP @t11 @t9)) % 0.63/0.83 (define @t22 () (@const 0 $$unsorted)) % 0.63/0.83 (define @t23 () (@quantifiers_skolemize (forall @t4 (tptp.cP @t22 @t1)) 0)) % 0.63/0.83 (define @t24 () (@quantifiers_skolemize (forall @t4 (tptp.cP @t23 @t1)) 0)) % 0.63/0.83 (define @t25 () (tptp.cP @t23 @t24)) % 0.63/0.83 (define @t26 () (tptp.cP @t22 @t23)) % 0.63/0.83 (define @t27 () (or @t26 @t25)) % 0.63/0.83 (define @t28 () (not @t27)) % 0.63/0.83 (define @t29 () (forall @t14 (or @t21 @t20))) % 0.63/0.83 (assume @p1 @t17) % 0.63/0.83 (assume @p2 true) % 0.63/0.83 (step @p3 :rule exists-elim :args ((= (exists @t6 @t19) (not (forall @t6 (not @t19)))))) % 0.63/0.83 (step @p4 :rule refl :args (@t18)) % 0.63/0.83 (step @p5 :rule refl :args (@t3)) % 0.63/0.83 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t18))) % 0.63/0.83 (step @p7 :rule symm :premises (@p6)) % 0.63/0.83 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.63/0.83 (step @p9 :rule cong :premises (@p8) :args (@t5)) % 0.63/0.83 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 0.63/0.83 (step @p11 :rule trans :premises (@p10 @p3)) % 0.63/0.83 (step @p12 :rule refl :args (@t20)) % 0.63/0.83 (step @p13 :rule refl :args (@t10)) % 0.63/0.83 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t10 @t20))) % 0.63/0.83 (step @p15 :rule symm :premises (@p14)) % 0.63/0.83 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.63/0.83 (step @p17 :rule refl :args (@t21)) % 0.63/0.83 (step @p18 :rule refl :args (@t12)) % 0.63/0.83 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t12 @t21))) % 0.63/0.83 (step @p20 :rule symm :premises (@p19)) % 0.63/0.83 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.63/0.83 (step @p22 :rule nary_cong :premises (@p21 @p16) :args (@t13)) % 0.63/0.83 (step @p23 :rule cong :premises (@p22) :args (@t15)) % 0.63/0.83 (step @p24 :rule cong :premises (@p23 @p11) :args (@t16)) % 0.63/0.83 (step @p25 :rule cong :premises (@p24) :args (@t17)) % 0.63/0.83 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 0.63/0.83 (step @p27 :rule not_implies_elim1 :premises (@p26)) % 0.63/0.83 (step @p28 :rule not_implies_elim2 :premises (@p26)) % 0.63/0.83 (step @p29 :rule not_not_elim :premises (@p28)) % 0.63/0.83 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t23))) % 0.63/0.83 (step @p31 :rule skolemize :premises (@p30)) % 0.63/0.83 (step @p32 :rule instantiate :premises (@p29) :args ((@list @t22))) % 0.63/0.83 (step @p33 :rule skolemize :premises (@p32)) % 0.63/0.83 (step @p34 :rule cnf_or_pos :args (@t27)) % 0.63/0.83 (step @p35 :rule reordering :premises (@p34) :args ((or @t26 @t25 @t28))) % 0.63/0.83 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p31) :args (@t28 (@list true true) (@list @t26 @t25))) % 0.63/0.83 (assume-push @p43 @t29) % 0.63/0.83 (step @p38 :rule instantiate :premises (@p27) :args ((@list @t22 @t23 @t24))) % 0.63/0.83 (step-pop @p44 :rule scope :premises (@p38)) % 0.63/0.83 (step @p39 :rule process_scope :premises (@p44) :args (@t27)) % 0.63/0.83 (step @p41 :rule implies_elim :premises (@p39)) % 0.63/0.83 (step @p42 false :rule chain_m_resolution :premises (@p41 @p36 @p27) :args (false (@list true false) (@list @t27 @t29))) % 0.63/0.83 ) % 0.63/0.83 % SZS output end Proof % 0.63/0.83 % cvc5 exiting %------------------------------------------------------------------------------