%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET043^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:47:06 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET043^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n014.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 14:47:58 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.39/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort $$unsorted 0) % 0.39/0.62 (declare-const tptp.cE (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (define @t1 () (@var "V" $$unsorted)) % 0.39/0.62 (define @t2 () (_ tptp.cE @t1)) % 0.39/0.62 (define @t3 () (_ @t2 @t1)) % 0.39/0.62 (define @t4 () (not @t3)) % 0.39/0.62 (define @t5 () (@var "U" $$unsorted)) % 0.39/0.62 (define @t6 () (_ @t2 @t5)) % 0.39/0.62 (define @t7 () (= @t6 @t4)) % 0.39/0.62 (define @t8 () (@list @t1)) % 0.39/0.62 (define @t9 () (forall @t8 @t7)) % 0.39/0.62 (define @t10 () (@list @t5)) % 0.39/0.62 (define @t11 () (exists @t10 @t9)) % 0.39/0.62 (define @t12 () (tptp.cE @t1 @t1)) % 0.39/0.62 (define @t13 () (not @t12)) % 0.39/0.62 (define @t14 () (tptp.cE @t1 @t5)) % 0.39/0.62 (define @t15 () (forall @t8 (= @t14 @t13))) % 0.39/0.62 (define @t16 () (forall @t10 (not @t15))) % 0.39/0.62 (define @t17 () (not @t16)) % 0.39/0.62 (define @t18 () (@quantifiers_skolemize @t16 0)) % 0.39/0.62 (define @t19 () (tptp.cE @t1 @t18)) % 0.39/0.62 (define @t20 () (forall @t8 (= @t13 @t19))) % 0.39/0.62 (define @t21 () (forall @t8 (= @t19 @t13))) % 0.39/0.62 (define @t22 () (not (not @t21))) % 0.39/0.62 (define @t23 () (tptp.cE @t18 @t18)) % 0.39/0.62 (define @t24 () (not @t23)) % 0.39/0.62 (define @t25 () (= @t24 @t23)) % 0.39/0.62 (assume @p1 (not (not @t11))) % 0.39/0.62 (assume @p2 true) % 0.39/0.62 (step @p3 :rule exists-elim :args ((= (exists @t10 @t15) @t17))) % 0.39/0.62 (step @p4 :rule refl :args (@t12)) % 0.39/0.62 (step @p5 :rule refl :args (@t3)) % 0.39/0.62 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t12))) % 0.39/0.62 (step @p7 :rule symm :premises (@p6)) % 0.39/0.62 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.39/0.62 (step @p9 :rule cong :premises (@p8) :args (@t4)) % 0.39/0.62 (step @p10 :rule refl :args (@t14)) % 0.39/0.62 (step @p11 :rule refl :args (@t6)) % 0.39/0.62 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t6 @t14))) % 0.39/0.62 (step @p13 :rule symm :premises (@p12)) % 0.39/0.62 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.39/0.62 (step @p15 :rule cong :premises (@p14 @p9) :args (@t7)) % 0.39/0.62 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.39/0.62 (step @p17 :rule cong :premises (@p16) :args (@t11)) % 0.39/0.62 (step @p18 :rule trans :premises (@p17 @p3)) % 0.39/0.62 (step @p19 :rule bool-double-not-elim :args (@t11)) % 0.39/0.62 (step @p20 :rule trans :premises (@p19 @p18)) % 0.39/0.62 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 0.39/0.62 (step @p22 :rule refl :args (@t20)) % 0.39/0.62 (step @p23 :rule bool-double-not-elim :args (@t16)) % 0.39/0.62 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t17) @t20))) % 0.39/0.62 (step @p25 :rule eq-symm :args (@t19 @t13)) % 0.39/0.62 (step @p26 :rule cong :premises (@p25) :args (@t21)) % 0.39/0.62 (step @p27 :rule bool-double-not-elim :args (@t21)) % 0.39/0.62 (step @p28 :rule trans :premises (@p27 @p26)) % 0.39/0.62 (step @p29 :rule refl :args (@t17)) % 0.39/0.62 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t17 @t22))) % 0.39/0.62 (assume-push @p51 @t17) % 0.39/0.62 (step @p32 :rule skolemize :premises (@p21)) % 0.39/0.62 (step-pop @p52 :rule scope :premises (@p32)) % 0.39/0.62 (step @p33 :rule process_scope :premises (@p52) :args (@t22)) % 0.39/0.62 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.39/0.62 (step @p36 :rule implies_elim :premises (@p35)) % 0.39/0.62 (step @p37 :rule eq_resolve :premises (@p36 @p24)) % 0.39/0.62 (step @p38 :rule chain_m_resolution :premises (@p37 @p21) :args (@t20 (@list true) (@list @t16))) % 0.39/0.62 (step @p39 :rule bool-impl-false1 :args (@t20)) % 0.39/0.62 (step @p40 :rule bool-eq-nrefl :args (@t23)) % 0.39/0.62 (step @p41 :rule eq-symm :args (@t24 @t23)) % 0.39/0.62 (step @p42 :rule trans :premises (@p41 @p40)) % 0.39/0.62 (step @p43 :rule cong :premises (@p22 @p42) :args ((=> @t20 @t25))) % 0.39/0.62 (step @p44 :rule trans :premises (@p43 @p39)) % 0.39/0.62 (assume-push @p53 @t20) % 0.39/0.62 (step @p46 :rule instantiate :premises (@p38) :args ((@list @t18))) % 0.39/0.62 (step-pop @p54 :rule scope :premises (@p46)) % 0.39/0.62 (step @p47 :rule process_scope :premises (@p54) :args (@t25)) % 0.39/0.62 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.39/0.62 (step @p50 false :rule chain_m_resolution :premises (@p49 @p38) :args (false (@list false) (@list @t20))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------