%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO235^5 : 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 : n001.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 09:12:17 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO235^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.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 00:01:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TH0 % 0.44/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-const tptp.cA Bool) % 0.44/0.63 (declare-const tptp.cB Bool) % 0.44/0.63 (define @t1 () (= tptp.cA tptp.cB)) % 0.44/0.63 (define @t2 () (@var "Q" (-> Bool Bool))) % 0.44/0.63 (define @t3 () (_ @t2 tptp.cB)) % 0.44/0.63 (define @t4 () (_ @t2 tptp.cA)) % 0.44/0.63 (define @t5 () (@list @t2)) % 0.44/0.63 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.44/0.63 (define @t7 () (or @t6 @t1)) % 0.44/0.63 (define @t8 () (=> @t7 @t1)) % 0.44/0.63 (define @t9 () (not @t8)) % 0.44/0.63 (define @t10 () (not tptp.cA)) % 0.44/0.63 (define @t11 () (_ @t2 tptp.cA)) % 0.44/0.63 (define @t12 () (not @t11)) % 0.44/0.63 (define @t13 () (forall @t5 (or @t12 (_ @t2 @t10)))) % 0.44/0.63 (define @t14 () (= @t10 tptp.cA)) % 0.44/0.63 (define @t15 () (or @t13 @t14)) % 0.44/0.63 (define @t16 () (=> @t15 @t14)) % 0.44/0.63 (define @t17 () (_ @t2 tptp.cB)) % 0.44/0.63 (define @t18 () (not @t4)) % 0.44/0.63 (define @t19 () (or @t18 @t3)) % 0.44/0.63 (define @t20 () (= tptp.cB tptp.cA)) % 0.44/0.63 (define @t21 () (or @t12 @t17)) % 0.44/0.63 (define @t22 () (forall @t5 @t21)) % 0.44/0.63 (define @t23 () (or @t22 @t20)) % 0.44/0.63 (define @t24 () (=> @t23 @t20)) % 0.44/0.63 (define @t25 () (= @t10 true)) % 0.44/0.63 (define @t26 () (not @t25)) % 0.44/0.63 (define @t27 () (@var "BOUND_VARIABLE_14524" Bool)) % 0.44/0.63 (define @t28 () (lambda (@list @t27) (ite (= @t27 true) false true))) % 0.44/0.63 (define @t29 () (_ @t28 @t10)) % 0.44/0.63 (define @t30 () (= tptp.cA true)) % 0.44/0.63 (define @t31 () (not @t30)) % 0.44/0.63 (define @t32 () (_ @t28 tptp.cA)) % 0.44/0.63 (define @t33 () (not @t32)) % 0.44/0.63 (define @t34 () (or @t33 @t29)) % 0.44/0.63 (define @t35 () (not @t13)) % 0.44/0.63 (define @t36 () (@var "BOUND_VARIABLE_14532" Bool)) % 0.44/0.63 (define @t37 () (lambda (@list @t36) @t36)) % 0.44/0.63 (define @t38 () (_ @t37 @t10)) % 0.44/0.63 (define @t39 () (_ @t37 tptp.cA)) % 0.44/0.63 (define @t40 () (not @t39)) % 0.44/0.63 (define @t41 () (or @t40 @t38)) % 0.44/0.63 (assume @p1 @t9) % 0.44/0.63 (assume @p2 true) % 0.44/0.63 (step @p3 :rule bool-double-not-elim :args (@t13)) % 0.44/0.63 (step @p4 :rule bool-impl-false1 :args (@t13)) % 0.44/0.63 (step @p5 :rule bool-eq-nrefl :args (tptp.cA)) % 0.44/0.63 (step @p6 :rule eq-symm :args (@t10 tptp.cA)) % 0.44/0.63 (step @p7 :rule trans :premises (@p6 @p5)) % 0.44/0.63 (step @p8 :rule aci_norm :args ((= (or @t13 false) @t13))) % 0.44/0.63 (step @p9 :rule refl :args (@t13)) % 0.44/0.63 (step @p10 :rule nary_cong :premises (@p9 @p7) :args (@t15)) % 0.44/0.63 (step @p11 :rule trans :premises (@p10 @p8)) % 0.44/0.63 (step @p12 :rule cong :premises (@p11 @p7) :args (@t16)) % 0.44/0.63 (step @p13 :rule trans :premises (@p12 @p4)) % 0.44/0.63 (step @p14 :rule cong :premises (@p13) :args ((not @t16))) % 0.44/0.63 (step @p15 :rule trans :premises (@p14 @p3)) % 0.44/0.63 (step @p16 :rule refl :args (tptp.cA)) % 0.44/0.63 (step @p17 :rule bool-not-eq-elim2 :args (tptp.cB tptp.cA)) % 0.44/0.63 (step @p18 :rule eq-symm :args (tptp.cA tptp.cB)) % 0.44/0.63 (step @p19 :rule refl :args (@t17)) % 0.44/0.63 (step @p20 :rule refl :args (@t3)) % 0.44/0.63 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t3 @t17))) % 0.44/0.63 (step @p22 :rule symm :premises (@p21)) % 0.44/0.63 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.44/0.63 (step @p24 :rule refl :args (@t11)) % 0.44/0.63 (step @p25 :rule refl :args (@t4)) % 0.44/0.63 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t4 @t11))) % 0.44/0.63 (step @p27 :rule symm :premises (@p26)) % 0.44/0.63 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.44/0.63 (step @p29 :rule cong :premises (@p28) :args (@t18)) % 0.44/0.63 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t19)) % 0.44/0.63 (step @p31 :rule cong :premises (@p30) :args ((forall @t5 @t19))) % 0.44/0.63 (step @p32 :rule bool-impl-elim :args (@t4 @t3)) % 0.44/0.63 (step @p33 :rule cong :premises (@p32) :args (@t6)) % 0.44/0.63 (step @p34 :rule trans :premises (@p33 @p31)) % 0.44/0.63 (step @p35 :rule nary_cong :premises (@p34 @p18) :args (@t7)) % 0.44/0.63 (step @p36 :rule cong :premises (@p35 @p18) :args (@t8)) % 0.44/0.63 (step @p37 :rule cong :premises (@p36) :args (@t9)) % 0.44/0.63 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.44/0.63 (step @p39 :rule not_implies_elim2 :premises (@p38)) % 0.44/0.63 (step @p40 :rule eq_resolve :premises (@p39 @p17)) % 0.44/0.63 (step @p41 :rule cong :premises (@p40 @p16) :args (@t20)) % 0.44/0.63 (step @p42 :rule cong :premises (@p40) :args (@t17)) % 0.44/0.63 (step @p43 :rule refl :args (@t12)) % 0.44/0.63 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t21)) % 0.44/0.63 (step @p45 :rule cong :premises (@p44) :args (@t22)) % 0.44/0.63 (step @p46 :rule nary_cong :premises (@p45 @p41) :args (@t23)) % 0.44/0.63 (step @p47 :rule cong :premises (@p46 @p41) :args (@t24)) % 0.44/0.63 (step @p48 :rule cong :premises (@p47) :args ((not @t24))) % 0.44/0.63 (step @p49 :rule trans :premises (@p48 @p15)) % 0.44/0.63 (step @p50 :rule trans :premises (@p37 @p49)) % 0.44/0.64 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 0.44/0.64 (step @p52 :rule aci_norm :args ((= (or tptp.cA tptp.cA) tptp.cA))) % 0.44/0.64 (step @p53 :rule bool-double-not-elim :args (tptp.cA)) % 0.44/0.64 (step @p54 :rule bool-eq-true :args (@t10)) % 0.44/0.64 (step @p55 :rule cong :premises (@p54) :args (@t26)) % 0.44/0.64 (step @p56 :rule trans :premises (@p55 @p53)) % 0.44/0.64 (step @p57 :rule aci_norm :args ((= (and @t26 true) @t26))) % 0.44/0.64 (step @p58 :rule ite-then-false :args (@t25 true)) % 0.44/0.64 (step @p59 :rule trans :premises (@p58 @p57)) % 0.44/0.64 (step @p60 :rule trans :premises (@p59 @p56)) % 0.44/0.64 (step @p61 :rule beta-reduce :args ((= @t29 (ite @t25 false true)))) % 0.44/0.64 (step @p62 :rule trans :premises (@p61 @p60)) % 0.44/0.64 (step @p63 :rule bool-eq-true :args (tptp.cA)) % 0.44/0.64 (step @p64 :rule cong :premises (@p63) :args (@t31)) % 0.44/0.64 (step @p65 :rule aci_norm :args ((= (and @t31 true) @t31))) % 0.44/0.64 (step @p66 :rule ite-then-false :args (@t30 true)) % 0.44/0.64 (step @p67 :rule trans :premises (@p66 @p65)) % 0.44/0.64 (step @p68 :rule trans :premises (@p67 @p64)) % 0.44/0.64 (step @p69 :rule beta-reduce :args ((= @t32 (ite @t30 false true)))) % 0.44/0.64 (step @p70 :rule trans :premises (@p69 @p68)) % 0.44/0.64 (step @p71 :rule cong :premises (@p70) :args (@t33)) % 0.44/0.64 (step @p72 :rule trans :premises (@p71 @p53)) % 0.44/0.64 (step @p73 :rule nary_cong :premises (@p72 @p62) :args (@t34)) % 0.44/0.64 (step @p74 :rule trans :premises (@p73 @p52)) % 0.44/0.64 (step @p75 :rule cong :premises (@p9 @p74) :args ((=> @t13 @t34))) % 0.44/0.64 (assume-push @p99 @t13) % 0.44/0.64 (step @p77 :rule instantiate :premises (@p51) :args ((@list @t28))) % 0.44/0.64 (step-pop @p100 :rule scope :premises (@p77)) % 0.44/0.64 (step @p78 :rule process_scope :premises (@p100) :args (@t34)) % 0.44/0.64 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.44/0.64 (step @p81 :rule implies_elim :premises (@p80)) % 0.44/0.64 (step @p82 :rule reordering :premises (@p81) :args ((or tptp.cA @t35))) % 0.44/0.64 (step @p83 :rule chain_m_resolution :premises (@p82 @p51) :args (tptp.cA (@list false) (@list @t13))) % 0.44/0.64 (step @p84 :rule aci_norm :args ((= (or @t10 @t10) @t10))) % 0.44/0.64 (step @p85 :rule beta-reduce :args ((= @t38 @t10))) % 0.44/0.64 (step @p86 :rule beta-reduce :args ((= @t39 tptp.cA))) % 0.44/0.64 (step @p87 :rule cong :premises (@p86) :args (@t40)) % 0.44/0.64 (step @p88 :rule nary_cong :premises (@p87 @p85) :args (@t41)) % 0.44/0.64 (step @p89 :rule trans :premises (@p88 @p84)) % 0.44/0.64 (step @p90 :rule cong :premises (@p9 @p89) :args ((=> @t13 @t41))) % 0.44/0.64 (assume-push @p101 @t13) % 0.44/0.64 (step @p92 :rule instantiate :premises (@p51) :args ((@list @t37))) % 0.44/0.64 (step-pop @p102 :rule scope :premises (@p92)) % 0.44/0.64 (step @p93 :rule process_scope :premises (@p102) :args (@t41)) % 0.44/0.64 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 0.44/0.64 (step @p96 :rule implies_elim :premises (@p95)) % 0.44/0.64 (step @p97 :rule reordering :premises (@p96) :args ((or @t10 @t35))) % 0.44/0.64 (step @p98 false :rule chain_m_resolution :premises (@p97 @p83 @p51) :args (false (@list false false) (@list tptp.cA @t13))) % 0.44/0.64 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------