%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO371^5 : 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 : n005.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 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO371^5 : 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 % 0.19/0.35 % Computer : n005.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Wed Jun 3 00:06:03 EDT 2026 % 0.19/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.39/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-const tptp.cP Bool) % 0.39/0.62 (declare-const tptp.cQ Bool) % 0.39/0.62 (define @t1 () (@var "R" (-> Bool Bool))) % 0.39/0.62 (define @t2 () (_ @t1 tptp.cQ)) % 0.39/0.62 (define @t3 () (_ @t1 tptp.cP)) % 0.39/0.62 (define @t4 () (@list @t1)) % 0.39/0.62 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.39/0.62 (define @t6 () (=> @t5 (= tptp.cP tptp.cQ))) % 0.39/0.62 (define @t7 () (not @t6)) % 0.39/0.62 (define @t8 () (not tptp.cP)) % 0.39/0.62 (define @t9 () (_ @t1 tptp.cP)) % 0.39/0.62 (define @t10 () (not @t9)) % 0.39/0.62 (define @t11 () (forall @t4 (or @t10 (_ @t1 @t8)))) % 0.39/0.62 (define @t12 () (=> @t11 (= @t8 tptp.cP))) % 0.39/0.62 (define @t13 () (_ @t1 tptp.cQ)) % 0.39/0.62 (define @t14 () (not @t3)) % 0.39/0.62 (define @t15 () (or @t14 @t2)) % 0.39/0.62 (define @t16 () (= tptp.cQ tptp.cP)) % 0.39/0.62 (define @t17 () (or @t10 @t13)) % 0.39/0.62 (define @t18 () (forall @t4 @t17)) % 0.39/0.62 (define @t19 () (=> @t18 @t16)) % 0.39/0.62 (define @t20 () (= @t8 true)) % 0.39/0.62 (define @t21 () (not @t20)) % 0.39/0.62 (define @t22 () (@var "BOUND_VARIABLE_14516" Bool)) % 0.39/0.62 (define @t23 () (lambda (@list @t22) (ite (= @t22 true) false true))) % 0.39/0.62 (define @t24 () (_ @t23 @t8)) % 0.39/0.62 (define @t25 () (= tptp.cP true)) % 0.39/0.62 (define @t26 () (not @t25)) % 0.39/0.62 (define @t27 () (_ @t23 tptp.cP)) % 0.39/0.62 (define @t28 () (not @t27)) % 0.39/0.62 (define @t29 () (or @t28 @t24)) % 0.39/0.62 (define @t30 () (not @t11)) % 0.39/0.62 (define @t31 () (@var "BOUND_VARIABLE_14524" Bool)) % 0.39/0.62 (define @t32 () (lambda (@list @t31) @t31)) % 0.39/0.62 (define @t33 () (_ @t32 @t8)) % 0.39/0.62 (define @t34 () (_ @t32 tptp.cP)) % 0.39/0.62 (define @t35 () (not @t34)) % 0.39/0.62 (define @t36 () (or @t35 @t33)) % 0.39/0.62 (assume @p1 @t7) % 0.39/0.62 (assume @p2 true) % 0.39/0.62 (step @p3 :rule bool-double-not-elim :args (@t11)) % 0.39/0.62 (step @p4 :rule bool-impl-false1 :args (@t11)) % 0.39/0.62 (step @p5 :rule bool-eq-nrefl :args (tptp.cP)) % 0.39/0.62 (step @p6 :rule eq-symm :args (@t8 tptp.cP)) % 0.39/0.62 (step @p7 :rule trans :premises (@p6 @p5)) % 0.39/0.62 (step @p8 :rule refl :args (@t11)) % 0.39/0.62 (step @p9 :rule cong :premises (@p8 @p7) :args (@t12)) % 0.39/0.62 (step @p10 :rule trans :premises (@p9 @p4)) % 0.39/0.62 (step @p11 :rule cong :premises (@p10) :args ((not @t12))) % 0.39/0.62 (step @p12 :rule trans :premises (@p11 @p3)) % 0.39/0.62 (step @p13 :rule refl :args (tptp.cP)) % 0.39/0.62 (step @p14 :rule bool-not-eq-elim2 :args (tptp.cQ tptp.cP)) % 0.39/0.62 (step @p15 :rule eq-symm :args (tptp.cP tptp.cQ)) % 0.39/0.62 (step @p16 :rule refl :args (@t13)) % 0.39/0.62 (step @p17 :rule refl :args (@t2)) % 0.39/0.62 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t2 @t13))) % 0.39/0.62 (step @p19 :rule symm :premises (@p18)) % 0.39/0.62 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.39/0.62 (step @p21 :rule refl :args (@t9)) % 0.39/0.62 (step @p22 :rule refl :args (@t3)) % 0.39/0.62 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t3 @t9))) % 0.39/0.62 (step @p24 :rule symm :premises (@p23)) % 0.39/0.62 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.39/0.62 (step @p26 :rule cong :premises (@p25) :args (@t14)) % 0.39/0.62 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t15)) % 0.39/0.62 (step @p28 :rule cong :premises (@p27) :args ((forall @t4 @t15))) % 0.39/0.62 (step @p29 :rule bool-impl-elim :args (@t3 @t2)) % 0.39/0.62 (step @p30 :rule cong :premises (@p29) :args (@t5)) % 0.39/0.62 (step @p31 :rule trans :premises (@p30 @p28)) % 0.39/0.62 (step @p32 :rule cong :premises (@p31 @p15) :args (@t6)) % 0.39/0.62 (step @p33 :rule cong :premises (@p32) :args (@t7)) % 0.39/0.62 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.39/0.62 (step @p35 :rule not_implies_elim2 :premises (@p34)) % 0.39/0.62 (step @p36 :rule eq_resolve :premises (@p35 @p14)) % 0.39/0.62 (step @p37 :rule cong :premises (@p36 @p13) :args (@t16)) % 0.39/0.62 (step @p38 :rule cong :premises (@p36) :args (@t13)) % 0.39/0.62 (step @p39 :rule refl :args (@t10)) % 0.39/0.62 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t17)) % 0.39/0.62 (step @p41 :rule cong :premises (@p40) :args (@t18)) % 0.39/0.62 (step @p42 :rule cong :premises (@p41 @p37) :args (@t19)) % 0.39/0.62 (step @p43 :rule cong :premises (@p42) :args ((not @t19))) % 0.39/0.62 (step @p44 :rule trans :premises (@p43 @p12)) % 0.39/0.62 (step @p45 :rule trans :premises (@p33 @p44)) % 0.39/0.62 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.39/0.62 (step @p47 :rule aci_norm :args ((= (or tptp.cP tptp.cP) tptp.cP))) % 0.39/0.62 (step @p48 :rule bool-double-not-elim :args (tptp.cP)) % 0.39/0.62 (step @p49 :rule bool-eq-true :args (@t8)) % 0.39/0.62 (step @p50 :rule cong :premises (@p49) :args (@t21)) % 0.39/0.62 (step @p51 :rule trans :premises (@p50 @p48)) % 0.39/0.62 (step @p52 :rule aci_norm :args ((= (and @t21 true) @t21))) % 0.39/0.62 (step @p53 :rule ite-then-false :args (@t20 true)) % 0.39/0.62 (step @p54 :rule trans :premises (@p53 @p52)) % 0.39/0.62 (step @p55 :rule trans :premises (@p54 @p51)) % 0.39/0.62 (step @p56 :rule beta-reduce :args ((= @t24 (ite @t20 false true)))) % 0.39/0.62 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.62 (step @p58 :rule bool-eq-true :args (tptp.cP)) % 0.39/0.62 (step @p59 :rule cong :premises (@p58) :args (@t26)) % 0.39/0.62 (step @p60 :rule aci_norm :args ((= (and @t26 true) @t26))) % 0.39/0.62 (step @p61 :rule ite-then-false :args (@t25 true)) % 0.39/0.62 (step @p62 :rule trans :premises (@p61 @p60)) % 0.39/0.62 (step @p63 :rule trans :premises (@p62 @p59)) % 0.39/0.62 (step @p64 :rule beta-reduce :args ((= @t27 (ite @t25 false true)))) % 0.39/0.62 (step @p65 :rule trans :premises (@p64 @p63)) % 0.39/0.62 (step @p66 :rule cong :premises (@p65) :args (@t28)) % 0.39/0.62 (step @p67 :rule trans :premises (@p66 @p48)) % 0.39/0.62 (step @p68 :rule nary_cong :premises (@p67 @p57) :args (@t29)) % 0.39/0.62 (step @p69 :rule trans :premises (@p68 @p47)) % 0.39/0.62 (step @p70 :rule cong :premises (@p8 @p69) :args ((=> @t11 @t29))) % 0.39/0.62 (assume-push @p94 @t11) % 0.39/0.62 (step @p72 :rule instantiate :premises (@p46) :args ((@list @t23))) % 0.39/0.62 (step-pop @p95 :rule scope :premises (@p72)) % 0.39/0.62 (step @p73 :rule process_scope :premises (@p95) :args (@t29)) % 0.39/0.62 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 0.39/0.62 (step @p76 :rule implies_elim :premises (@p75)) % 0.39/0.62 (step @p77 :rule reordering :premises (@p76) :args ((or tptp.cP @t30))) % 0.39/0.62 (step @p78 :rule chain_m_resolution :premises (@p77 @p46) :args (tptp.cP (@list false) (@list @t11))) % 0.39/0.62 (step @p79 :rule aci_norm :args ((= (or @t8 @t8) @t8))) % 0.39/0.62 (step @p80 :rule beta-reduce :args ((= @t33 @t8))) % 0.39/0.62 (step @p81 :rule beta-reduce :args ((= @t34 tptp.cP))) % 0.39/0.62 (step @p82 :rule cong :premises (@p81) :args (@t35)) % 0.39/0.62 (step @p83 :rule nary_cong :premises (@p82 @p80) :args (@t36)) % 0.39/0.62 (step @p84 :rule trans :premises (@p83 @p79)) % 0.39/0.62 (step @p85 :rule cong :premises (@p8 @p84) :args ((=> @t11 @t36))) % 0.39/0.62 (assume-push @p96 @t11) % 0.39/0.62 (step @p87 :rule instantiate :premises (@p46) :args ((@list @t32))) % 0.39/0.62 (step-pop @p97 :rule scope :premises (@p87)) % 0.39/0.62 (step @p88 :rule process_scope :premises (@p97) :args (@t36)) % 0.39/0.62 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.39/0.62 (step @p91 :rule implies_elim :premises (@p90)) % 0.39/0.62 (step @p92 :rule reordering :premises (@p91) :args ((or @t8 @t30))) % 0.39/0.62 (step @p93 false :rule chain_m_resolution :premises (@p92 @p78 @p46) :args (false (@list false false) (@list tptp.cP @t11))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------