%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO358^5 : 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 : n018.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 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO358^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n018.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 00:05:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort tptp.atype 0) % 0.38/0.56 (declare-const tptp.a Bool) % 0.38/0.56 (declare-const tptp.u tptp.atype) % 0.38/0.56 (declare-const tptp.b Bool) % 0.38/0.56 (declare-const tptp.v tptp.atype) % 0.38/0.56 (define @t1 () (@var "P" (-> tptp.atype Bool))) % 0.38/0.56 (define @t2 () (_ @t1 tptp.v)) % 0.38/0.56 (define @t3 () (and (or tptp.b (not tptp.b)) @t2)) % 0.38/0.56 (define @t4 () (_ @t1 tptp.u)) % 0.38/0.56 (define @t5 () (not tptp.a)) % 0.38/0.56 (define @t6 () (or tptp.a @t5)) % 0.38/0.56 (define @t7 () (and @t6 @t4)) % 0.38/0.56 (define @t8 () (@list @t1)) % 0.38/0.56 (define @t9 () (forall @t8 (=> @t7 @t3))) % 0.38/0.56 (define @t10 () (@var "Xq" (-> tptp.atype Bool))) % 0.38/0.56 (define @t11 () (_ @t10 tptp.v)) % 0.38/0.56 (define @t12 () (_ @t10 tptp.u)) % 0.38/0.56 (define @t13 () (@list @t10)) % 0.38/0.56 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.38/0.56 (define @t15 () (=> @t14 @t9)) % 0.38/0.56 (define @t16 () (not @t15)) % 0.38/0.56 (define @t17 () (_ @t1 tptp.v)) % 0.38/0.56 (define @t18 () (_ @t1 tptp.u)) % 0.38/0.56 (define @t19 () (not @t4)) % 0.38/0.56 (define @t20 () (or @t19 @t2)) % 0.38/0.56 (define @t21 () (and true @t2)) % 0.38/0.56 (define @t22 () (or @t19 @t21)) % 0.38/0.56 (define @t23 () (or false @t19 @t21)) % 0.38/0.56 (define @t24 () (_ @t10 tptp.v)) % 0.38/0.56 (define @t25 () (_ @t10 tptp.u)) % 0.38/0.56 (define @t26 () (not @t12)) % 0.38/0.56 (define @t27 () (or @t26 @t11)) % 0.38/0.56 (define @t28 () (forall @t13 (or (not @t25) @t24))) % 0.38/0.56 (define @t29 () (@quantifiers_skolemize (forall @t8 (or (not @t18) @t17)) 0)) % 0.38/0.56 (define @t30 () (or (not (_ @t29 tptp.u)) (_ @t29 tptp.v))) % 0.38/0.56 (assume @p1 @t16) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule refl :args (@t17)) % 0.38/0.56 (step @p4 :rule refl :args (@t2)) % 0.38/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t17))) % 0.38/0.56 (step @p6 :rule symm :premises (@p5)) % 0.38/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.56 (step @p8 :rule refl :args (@t18)) % 0.38/0.56 (step @p9 :rule refl :args (@t4)) % 0.38/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t4 @t18))) % 0.38/0.56 (step @p11 :rule symm :premises (@p10)) % 0.38/0.56 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.38/0.56 (step @p13 :rule cong :premises (@p12) :args (@t19)) % 0.38/0.56 (step @p14 :rule nary_cong :premises (@p13 @p7) :args (@t20)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14) :args ((forall @t8 @t20))) % 0.38/0.56 (step @p16 :rule aci_norm :args ((= @t21 @t2))) % 0.38/0.56 (step @p17 :rule refl :args (@t19)) % 0.38/0.56 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t22)) % 0.38/0.56 (step @p19 :rule aci_norm :args ((= @t23 @t22))) % 0.38/0.56 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.56 (step @p21 :rule cong :premises (@p20) :args ((forall @t8 @t23))) % 0.38/0.56 (step @p22 :rule trans :premises (@p21 @p15)) % 0.38/0.56 (step @p23 :rule aci_norm :args ((= (or (or false @t19) @t21) @t23))) % 0.38/0.56 (step @p24 :rule bool-or-taut :args (false tptp.b false false)) % 0.38/0.56 (step @p25 :rule nary_cong :premises (@p24 @p4) :args (@t3)) % 0.38/0.56 (step @p26 :rule refl :args (@t19)) % 0.38/0.56 (step @p27 :rule bool-and-conf2 :args (true tptp.a true true)) % 0.38/0.56 (step @p28 :rule bool-double-not-elim :args (tptp.a)) % 0.38/0.56 (step @p29 :rule refl :args (@t5)) % 0.38/0.56 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((and @t5 (not @t5)))) % 0.38/0.56 (step @p31 :rule bool-or-de-morgan :args (tptp.a @t5 false)) % 0.38/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.56 (step @p33 :rule trans :premises (@p32 @p27)) % 0.38/0.56 (step @p34 :rule nary_cong :premises (@p33 @p26) :args ((or (not @t6) @t19))) % 0.38/0.56 (step @p35 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.38/0.56 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.56 (step @p37 :rule nary_cong :premises (@p36 @p25) :args ((or (not @t7) @t3))) % 0.38/0.56 (step @p38 :rule trans :premises (@p37 @p23)) % 0.38/0.56 (step @p39 :rule bool-impl-elim :args (@t7 @t3)) % 0.38/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40) :args (@t9)) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p22)) % 0.38/0.56 (step @p43 :rule refl :args (@t24)) % 0.38/0.56 (step @p44 :rule refl :args (@t11)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t11 @t24))) % 0.38/0.56 (step @p46 :rule symm :premises (@p45)) % 0.38/0.56 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.38/0.56 (step @p48 :rule refl :args (@t25)) % 0.38/0.56 (step @p49 :rule refl :args (@t12)) % 0.38/0.56 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t12 @t25))) % 0.38/0.56 (step @p51 :rule symm :premises (@p50)) % 0.38/0.56 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.38/0.56 (step @p53 :rule cong :premises (@p52) :args (@t26)) % 0.38/0.57 (step @p54 :rule nary_cong :premises (@p53 @p47) :args (@t27)) % 0.38/0.57 (step @p55 :rule cong :premises (@p54) :args ((forall @t13 @t27))) % 0.38/0.57 (step @p56 :rule bool-impl-elim :args (@t12 @t11)) % 0.38/0.57 (step @p57 :rule cong :premises (@p56) :args (@t14)) % 0.38/0.57 (step @p58 :rule trans :premises (@p57 @p55)) % 0.38/0.57 (step @p59 :rule cong :premises (@p58 @p42) :args (@t15)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args (@t16)) % 0.38/0.57 (step @p61 :rule eq_resolve :premises (@p1 @p60)) % 0.38/0.57 (step @p62 :rule not_implies_elim1 :premises (@p61)) % 0.38/0.57 (step @p63 :rule not_implies_elim2 :premises (@p61)) % 0.38/0.57 (step @p64 :rule skolemize :premises (@p63)) % 0.38/0.57 (assume-push @p71 @t28) % 0.38/0.57 (step @p66 :rule instantiate :premises (@p62) :args ((@list @t29))) % 0.38/0.57 (step-pop @p72 :rule scope :premises (@p66)) % 0.38/0.57 (step @p67 :rule process_scope :premises (@p72) :args (@t30)) % 0.38/0.57 (step @p69 :rule implies_elim :premises (@p67)) % 0.38/0.57 (step @p70 false :rule chain_m_resolution :premises (@p69 @p64 @p62) :args (false (@list true false) (@list @t30 @t28))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------