%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO372^5 : 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 09:12:31 AM UTC 2026 % Result : Theorem 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 : SYO372^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n020.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 : Wed Jun 3 00:06:25 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort tptp.b 0) % 0.30/0.54 (declare-sort tptp.gtype 0) % 0.30/0.54 (declare-const tptp.f (-> tptp.b Bool)) % 0.30/0.54 (declare-const tptp.h (-> (-> tptp.b Bool) tptp.gtype)) % 0.30/0.54 (declare-const tptp.g (-> tptp.b Bool)) % 0.30/0.54 (define @t1 () (_ tptp.h tptp.g)) % 0.30/0.54 (define @t2 () (_ tptp.h tptp.f)) % 0.30/0.54 (define @t3 () (= @t2 @t1)) % 0.30/0.54 (define @t4 () (@var "Xx" tptp.b)) % 0.30/0.54 (define @t5 () (_ tptp.g @t4)) % 0.30/0.54 (define @t6 () (_ tptp.f @t4)) % 0.30/0.54 (define @t7 () (= @t6 @t5)) % 0.30/0.54 (define @t8 () (@list @t4)) % 0.30/0.54 (define @t9 () (forall @t8 @t7)) % 0.30/0.54 (define @t10 () (=> @t9 @t3)) % 0.30/0.54 (define @t11 () (not @t10)) % 0.30/0.54 (define @t12 () (tptp.h tptp.f)) % 0.30/0.54 (define @t13 () (tptp.h tptp.g)) % 0.30/0.54 (define @t14 () (tptp.g @t4)) % 0.30/0.54 (define @t15 () (tptp.f @t4)) % 0.30/0.54 (define @t16 () (forall @t8 (= @t15 @t14))) % 0.30/0.54 (define @t17 () (=> @t16 @t3)) % 0.30/0.54 (define @t18 () (= tptp.g tptp.f)) % 0.30/0.54 (define @t19 () (= @t13 @t12)) % 0.30/0.54 (define @t20 () (not @t18)) % 0.30/0.54 (define @t21 () (@list true)) % 0.30/0.54 (define @t22 () (@const 0 tptp.b)) % 0.30/0.54 (define @t23 () (tptp.f @t22)) % 0.30/0.54 (define @t24 () (tptp.g @t22)) % 0.30/0.54 (define @t25 () (= @t24 @t23)) % 0.30/0.54 (define @t26 () (not @t25)) % 0.30/0.54 (define @t27 () (= @t23 @t24)) % 0.30/0.54 (assume @p1 @t11) % 0.30/0.54 (assume @p2 true) % 0.30/0.54 (step @p3 :rule eq-symm :args (@t12 @t13)) % 0.30/0.54 (step @p4 :rule refl :args (@t13)) % 0.30/0.54 (step @p5 :rule refl :args (@t1)) % 0.30/0.54 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t1 @t13))) % 0.30/0.54 (step @p7 :rule symm :premises (@p6)) % 0.30/0.54 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.30/0.54 (step @p9 :rule refl :args (@t12)) % 0.30/0.54 (step @p10 :rule refl :args (@t2)) % 0.30/0.54 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t2 @t12))) % 0.30/0.54 (step @p12 :rule symm :premises (@p11)) % 0.30/0.54 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.30/0.54 (step @p14 :rule cong :premises (@p13 @p8) :args (@t3)) % 0.30/0.54 (step @p15 :rule trans :premises (@p14 @p3)) % 0.30/0.54 (step @p16 :rule refl :args (@t16)) % 0.30/0.54 (step @p17 :rule cong :premises (@p16 @p15) :args (@t17)) % 0.30/0.54 (step @p18 :rule cong :premises (@p17) :args ((not @t17))) % 0.30/0.54 (step @p19 :rule refl :args (@t3)) % 0.30/0.54 (step @p20 :rule refl :args (@t14)) % 0.30/0.54 (step @p21 :rule refl :args (@t5)) % 0.30/0.54 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t5 @t14))) % 0.30/0.54 (step @p23 :rule symm :premises (@p22)) % 0.30/0.54 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.30/0.54 (step @p25 :rule refl :args (@t15)) % 0.30/0.54 (step @p26 :rule refl :args (@t6)) % 0.30/0.54 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t6 @t15))) % 0.30/0.54 (step @p28 :rule symm :premises (@p27)) % 0.30/0.54 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.30/0.54 (step @p30 :rule cong :premises (@p29 @p24) :args (@t7)) % 0.30/0.54 (step @p31 :rule cong :premises (@p30) :args (@t9)) % 0.30/0.54 (step @p32 :rule cong :premises (@p31 @p19) :args (@t10)) % 0.30/0.54 (step @p33 :rule cong :premises (@p32) :args (@t11)) % 0.30/0.54 (step @p34 :rule trans :premises (@p33 @p18)) % 0.30/0.54 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.30/0.54 (step @p36 :rule not_implies_elim1 :premises (@p35)) % 0.30/0.54 (step @p37 :rule not_implies_elim2 :premises (@p35)) % 0.30/0.54 (assume-push @p60 @t18) % 0.30/0.54 (assume-push @p61 @t18) % 0.30/0.54 (step @p40 :rule cong :premises (@p60) :args (@t13)) % 0.30/0.54 (step-pop @p62 :rule scope :premises (@p40)) % 0.30/0.54 (step @p41 :rule process_scope :premises (@p62) :args (@t19)) % 0.30/0.54 (step @p43 :rule modus_ponens :premises (@p60 @p41)) % 0.30/0.54 (step-pop @p63 :rule scope :premises (@p43)) % 0.30/0.54 (step @p44 :rule process_scope :premises (@p63) :args (@t19)) % 0.30/0.54 (step @p46 :rule implies_elim :premises (@p44)) % 0.30/0.54 (step @p47 :rule reordering :premises (@p46) :args ((or @t19 @t20))) % 0.30/0.54 (step @p48 :rule chain_m_resolution :premises (@p47 @p37) :args (@t20 @t21 (@list @t19))) % 0.30/0.54 ; WARNING: add trust step for TRUST % 0.30/0.54 ; trust TRUST THEORY_LEMMA % 0.30/0.54 (step @p49 :rule trust :premises () :args ((or @t18 @t26))) % 0.30/0.54 (step @p50 :rule chain_m_resolution :premises (@p49 @p48) :args (@t26 @t21 (@list @t18))) % 0.30/0.54 (step @p51 :rule eq-symm :args (@t23 @t24)) % 0.30/0.54 (step @p52 :rule cong :premises (@p16 @p51) :args ((=> @t16 @t27))) % 0.30/0.54 (assume-push @p64 @t16) % 0.30/0.54 (step @p54 :rule instantiate :premises (@p36) :args ((@list @t22))) % 0.30/0.54 (step-pop @p65 :rule scope :premises (@p54)) % 0.30/0.54 (step @p55 :rule process_scope :premises (@p65) :args (@t27)) % 0.30/0.54 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 0.30/0.54 (step @p58 :rule implies_elim :premises (@p57)) % 0.30/0.54 (step @p59 false :rule chain_m_resolution :premises (@p58 @p50 @p36) :args (false (@list true false) (@list @t25 @t16))) % 0.30/0.54 ) % 0.30/0.54 % SZS output end Proof % 0.30/0.54 % cvc5 exiting %------------------------------------------------------------------------------