%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO357^5 : 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 : n011.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 09:12:29 AM UTC 2026 % Result : Theorem 0.32s 0.55s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO357^5 : 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 % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:05:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.32/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.55 % SZS status Theorem % 0.32/0.55 % SZS output start Proof % 0.32/0.55 ( % 0.32/0.55 (declare-sort tptp.atype 0) % 0.32/0.55 (declare-const tptp.a Bool) % 0.32/0.55 (declare-const tptp.b Bool) % 0.32/0.55 (declare-const tptp.u tptp.atype) % 0.32/0.55 (declare-const tptp.v tptp.atype) % 0.32/0.55 (define @t1 () (@var "Xq" (-> tptp.atype Bool))) % 0.32/0.55 (define @t2 () (_ @t1 tptp.v)) % 0.32/0.55 (define @t3 () (_ @t1 tptp.u)) % 0.32/0.55 (define @t4 () (@list @t1)) % 0.32/0.55 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.32/0.55 (define @t6 () (@var "P" (-> tptp.atype Bool))) % 0.32/0.55 (define @t7 () (_ @t6 tptp.v)) % 0.32/0.55 (define @t8 () (and (or tptp.b (not tptp.b)) @t7)) % 0.32/0.55 (define @t9 () (_ @t6 tptp.u)) % 0.32/0.55 (define @t10 () (not tptp.a)) % 0.32/0.55 (define @t11 () (or tptp.a @t10)) % 0.32/0.55 (define @t12 () (and @t11 @t9)) % 0.32/0.55 (define @t13 () (@list @t6)) % 0.32/0.55 (define @t14 () (forall @t13 (=> @t12 @t8))) % 0.32/0.55 (define @t15 () (=> @t14 @t5)) % 0.32/0.55 (define @t16 () (not @t15)) % 0.32/0.55 (define @t17 () (_ @t1 tptp.v)) % 0.32/0.55 (define @t18 () (_ @t1 tptp.u)) % 0.32/0.55 (define @t19 () (not @t3)) % 0.32/0.55 (define @t20 () (or @t19 @t2)) % 0.32/0.55 (define @t21 () (_ @t6 tptp.v)) % 0.32/0.55 (define @t22 () (_ @t6 tptp.u)) % 0.32/0.55 (define @t23 () (not @t9)) % 0.32/0.55 (define @t24 () (or @t23 @t7)) % 0.32/0.55 (define @t25 () (and true @t7)) % 0.32/0.55 (define @t26 () (or @t23 @t25)) % 0.32/0.55 (define @t27 () (or false @t23 @t25)) % 0.32/0.55 (define @t28 () (forall @t13 (or (not @t22) @t21))) % 0.32/0.55 (define @t29 () (@quantifiers_skolemize (forall @t4 (or (not @t18) @t17)) 0)) % 0.32/0.55 (define @t30 () (or (not (_ @t29 tptp.u)) (_ @t29 tptp.v))) % 0.32/0.55 (assume @p1 @t16) % 0.32/0.55 (assume @p2 true) % 0.32/0.55 (step @p3 :rule refl :args (@t17)) % 0.32/0.55 (step @p4 :rule refl :args (@t2)) % 0.32/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t17))) % 0.32/0.55 (step @p6 :rule symm :premises (@p5)) % 0.32/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.32/0.55 (step @p8 :rule refl :args (@t18)) % 0.32/0.55 (step @p9 :rule refl :args (@t3)) % 0.32/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t3 @t18))) % 0.32/0.55 (step @p11 :rule symm :premises (@p10)) % 0.32/0.55 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.32/0.55 (step @p13 :rule cong :premises (@p12) :args (@t19)) % 0.32/0.55 (step @p14 :rule nary_cong :premises (@p13 @p7) :args (@t20)) % 0.32/0.55 (step @p15 :rule cong :premises (@p14) :args ((forall @t4 @t20))) % 0.32/0.55 (step @p16 :rule bool-impl-elim :args (@t3 @t2)) % 0.32/0.55 (step @p17 :rule cong :premises (@p16) :args (@t5)) % 0.32/0.55 (step @p18 :rule trans :premises (@p17 @p15)) % 0.32/0.55 (step @p19 :rule refl :args (@t21)) % 0.32/0.55 (step @p20 :rule refl :args (@t7)) % 0.32/0.55 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t7 @t21))) % 0.32/0.55 (step @p22 :rule symm :premises (@p21)) % 0.32/0.55 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.32/0.55 (step @p24 :rule refl :args (@t22)) % 0.32/0.55 (step @p25 :rule refl :args (@t9)) % 0.32/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t9 @t22))) % 0.32/0.55 (step @p27 :rule symm :premises (@p26)) % 0.32/0.55 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.32/0.55 (step @p29 :rule cong :premises (@p28) :args (@t23)) % 0.32/0.55 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t24)) % 0.32/0.55 (step @p31 :rule cong :premises (@p30) :args ((forall @t13 @t24))) % 0.32/0.55 (step @p32 :rule aci_norm :args ((= @t25 @t7))) % 0.32/0.55 (step @p33 :rule refl :args (@t23)) % 0.32/0.55 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t26)) % 0.32/0.55 (step @p35 :rule aci_norm :args ((= @t27 @t26))) % 0.32/0.55 (step @p36 :rule trans :premises (@p35 @p34)) % 0.32/0.55 (step @p37 :rule cong :premises (@p36) :args ((forall @t13 @t27))) % 0.32/0.55 (step @p38 :rule trans :premises (@p37 @p31)) % 0.32/0.55 (step @p39 :rule aci_norm :args ((= (or (or false @t23) @t25) @t27))) % 0.32/0.55 (step @p40 :rule bool-or-taut :args (false tptp.b false false)) % 0.32/0.55 (step @p41 :rule nary_cong :premises (@p40 @p20) :args (@t8)) % 0.32/0.55 (step @p42 :rule refl :args (@t23)) % 0.32/0.55 (step @p43 :rule bool-and-conf2 :args (true tptp.a true true)) % 0.32/0.55 (step @p44 :rule bool-double-not-elim :args (tptp.a)) % 0.32/0.55 (step @p45 :rule refl :args (@t10)) % 0.32/0.55 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((and @t10 (not @t10)))) % 0.32/0.55 (step @p47 :rule bool-or-de-morgan :args (tptp.a @t10 false)) % 0.32/0.55 (step @p48 :rule trans :premises (@p47 @p46)) % 0.32/0.55 (step @p49 :rule trans :premises (@p48 @p43)) % 0.32/0.55 (step @p50 :rule nary_cong :premises (@p49 @p42) :args ((or (not @t11) @t23))) % 0.32/0.55 (step @p51 :rule bool-and-de-morgan :args (@t11 @t9 true)) % 0.32/0.55 (step @p52 :rule trans :premises (@p51 @p50)) % 0.32/0.55 (step @p53 :rule nary_cong :premises (@p52 @p41) :args ((or (not @t12) @t8))) % 0.32/0.55 (step @p54 :rule trans :premises (@p53 @p39)) % 0.32/0.55 (step @p55 :rule bool-impl-elim :args (@t12 @t8)) % 0.32/0.55 (step @p56 :rule trans :premises (@p55 @p54)) % 0.32/0.55 (step @p57 :rule cong :premises (@p56) :args (@t14)) % 0.32/0.55 (step @p58 :rule trans :premises (@p57 @p38)) % 0.32/0.55 (step @p59 :rule cong :premises (@p58 @p18) :args (@t15)) % 0.32/0.55 (step @p60 :rule cong :premises (@p59) :args (@t16)) % 0.32/0.55 (step @p61 :rule eq_resolve :premises (@p1 @p60)) % 0.32/0.55 (step @p62 :rule not_implies_elim1 :premises (@p61)) % 0.32/0.55 (step @p63 :rule not_implies_elim2 :premises (@p61)) % 0.32/0.55 (step @p64 :rule skolemize :premises (@p63)) % 0.32/0.55 (assume-push @p71 @t28) % 0.32/0.55 (step @p66 :rule instantiate :premises (@p62) :args ((@list @t29))) % 0.32/0.55 (step-pop @p72 :rule scope :premises (@p66)) % 0.32/0.55 (step @p67 :rule process_scope :premises (@p72) :args (@t30)) % 0.32/0.55 (step @p69 :rule implies_elim :premises (@p67)) % 0.32/0.55 (step @p70 false :rule chain_m_resolution :premises (@p69 @p64 @p62) :args (false (@list true false) (@list @t30 @t28))) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting 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