%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO217^5 : 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 : n020.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 09:12:15 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO217^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 00:01:11 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.29/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort tptp.b 0) % 0.29/0.55 (declare-sort tptp.a 0) % 0.29/0.55 (define @t1 () (@var "Xs" (-> tptp.b tptp.a Bool))) % 0.29/0.55 (define @t2 () (@var "Xr" (-> tptp.b tptp.a Bool))) % 0.29/0.55 (define @t3 () (= @t2 @t1)) % 0.29/0.55 (define @t4 () (@var "Xy" tptp.a)) % 0.29/0.55 (define @t5 () (@var "Xx" tptp.b)) % 0.29/0.55 (define @t6 () (_ (_ @t1 @t5) @t4)) % 0.29/0.55 (define @t7 () (_ (_ @t2 @t5) @t4)) % 0.29/0.55 (define @t8 () (= @t7 @t6)) % 0.29/0.55 (define @t9 () (@list @t5 @t4)) % 0.29/0.55 (define @t10 () (forall @t9 @t8)) % 0.29/0.55 (define @t11 () (=> @t10 @t3)) % 0.29/0.55 (define @t12 () (@list @t2 @t1)) % 0.29/0.55 (define @t13 () (forall @t12 @t11)) % 0.29/0.55 (define @t14 () (not @t13)) % 0.29/0.55 (define @t15 () (_ @t1 @t5 @t4)) % 0.29/0.55 (define @t16 () (_ @t2 @t5 @t4)) % 0.29/0.55 (define @t17 () (forall @t9 (= @t16 @t15))) % 0.29/0.55 (define @t18 () (forall @t12 (or (not @t17) @t3))) % 0.29/0.55 (define @t19 () (@quantifiers_skolemize @t18 1)) % 0.29/0.55 (define @t20 () (@quantifiers_skolemize @t18 0)) % 0.29/0.55 (define @t21 () (forall @t9 (= (_ @t20 @t5 @t4) (_ @t19 @t5 @t4)))) % 0.29/0.55 (define @t22 () (= @t20 @t19)) % 0.29/0.55 (define @t23 () (not @t21)) % 0.29/0.55 (define @t24 () (or @t23 @t22)) % 0.29/0.55 (define @t25 () (@list true)) % 0.29/0.55 (define @t26 () (@list @t24)) % 0.29/0.55 (define @t27 () (@const 0 tptp.a)) % 0.29/0.55 (define @t28 () (@const 1 tptp.b)) % 0.29/0.55 (define @t29 () (= (_ @t20 @t28 @t27) (_ @t19 @t28 @t27))) % 0.29/0.55 (define @t30 () (not @t29)) % 0.29/0.55 (assume @p1 @t14) % 0.29/0.55 (assume @p2 true) % 0.29/0.55 (step @p3 :rule bool-impl-elim :args (@t17 @t3)) % 0.29/0.55 (step @p4 :rule cong :premises (@p3) :args ((forall @t12 (=> @t17 @t3)))) % 0.29/0.55 (step @p5 :rule refl :args (@t3)) % 0.29/0.55 (step @p6 :rule refl :args (@t15)) % 0.29/0.55 (step @p7 :rule refl :args (@t6)) % 0.29/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t6 @t15))) % 0.29/0.55 (step @p9 :rule symm :premises (@p8)) % 0.29/0.55 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.29/0.55 (step @p11 :rule refl :args (@t16)) % 0.29/0.55 (step @p12 :rule refl :args (@t7)) % 0.29/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t7 @t16))) % 0.29/0.55 (step @p14 :rule symm :premises (@p13)) % 0.29/0.55 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.29/0.55 (step @p16 :rule cong :premises (@p15 @p10) :args (@t8)) % 0.29/0.55 (step @p17 :rule cong :premises (@p16) :args (@t10)) % 0.29/0.55 (step @p18 :rule cong :premises (@p17 @p5) :args (@t11)) % 0.29/0.55 (step @p19 :rule cong :premises (@p18) :args (@t13)) % 0.29/0.55 (step @p20 :rule trans :premises (@p19 @p4)) % 0.29/0.55 (step @p21 :rule cong :premises (@p20) :args (@t14)) % 0.29/0.55 (step @p22 :rule eq_resolve :premises (@p1 @p21)) % 0.29/0.55 (step @p23 :rule skolemize :premises (@p22)) % 0.29/0.55 (step @p24 :rule bool-double-not-elim :args (@t21)) % 0.29/0.55 (step @p25 :rule refl :args (@t24)) % 0.29/0.55 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t24 (not @t23)))) % 0.29/0.55 (step @p27 :rule cnf_or_neg :args (@t24 0)) % 0.29/0.55 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.29/0.55 (step @p29 :rule reordering :premises (@p28) :args ((or @t21 @t24))) % 0.29/0.55 (step @p30 :rule chain_m_resolution :premises (@p29 @p23) :args (@t21 @t25 @t26)) % 0.29/0.55 (step @p31 :rule cnf_or_neg :args (@t24 1)) % 0.29/0.55 (step @p32 :rule chain_m_resolution :premises (@p31 @p23) :args ((not @t22) @t25 @t26)) % 0.29/0.55 ; WARNING: add trust step for TRUST % 0.29/0.55 ; trust TRUST THEORY_LEMMA % 0.29/0.55 (step @p33 :rule trust :premises () :args ((or @t22 @t30))) % 0.29/0.55 (step @p34 :rule chain_m_resolution :premises (@p33 @p32) :args (@t30 @t25 (@list @t22))) % 0.29/0.55 (assume-push @p41 @t21) % 0.29/0.55 (step @p36 :rule instantiate :premises (@p30) :args ((@list @t28 @t27))) % 0.29/0.55 (step-pop @p42 :rule scope :premises (@p36)) % 0.29/0.55 (step @p37 :rule process_scope :premises (@p42) :args (@t29)) % 0.29/0.55 (step @p39 :rule implies_elim :premises (@p37)) % 0.29/0.55 (step @p40 false :rule chain_m_resolution :premises (@p39 @p34 @p30) :args (false (@list true false) (@list @t29 @t21))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------