%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO029^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 09:11:48 AM UTC 2026 % Result : Theorem 0.41s 0.62s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO029^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n014.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 : Tue Jun 2 23:52:13 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.41/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.62 % SZS status Theorem % 0.41/0.62 % SZS output start Proof % 0.41/0.62 ( % 0.41/0.62 (define @t1 () (@var "P" Bool)) % 0.41/0.62 (define @t2 () (not @t1)) % 0.41/0.62 (define @t3 () (@var "N" (-> Bool Bool))) % 0.41/0.62 (define @t4 () (_ @t3 @t1)) % 0.41/0.62 (define @t5 () (= @t4 @t2)) % 0.41/0.62 (define @t6 () (@list @t1)) % 0.41/0.62 (define @t7 () (forall @t6 @t5)) % 0.41/0.62 (define @t8 () (@list @t3)) % 0.41/0.62 (define @t9 () (exists @t8 @t7)) % 0.41/0.62 (define @t10 () (not @t9)) % 0.41/0.62 (define @t11 () (_ @t3 @t1)) % 0.41/0.62 (define @t12 () (forall @t6 (= @t2 @t11))) % 0.41/0.62 (define @t13 () (forall @t8 (not @t12))) % 0.41/0.62 (define @t14 () (= @t1 true)) % 0.41/0.62 (define @t15 () (not @t14)) % 0.41/0.62 (define @t16 () (@var "BOUND_VARIABLE_21628" Bool)) % 0.41/0.62 (define @t17 () (lambda (@list @t16) (ite (= @t16 true) false true))) % 0.41/0.62 (define @t18 () (_ @t17 @t1)) % 0.41/0.62 (define @t19 () (= @t2 @t18)) % 0.41/0.62 (define @t20 () (forall @t6 @t19)) % 0.41/0.62 (define @t21 () (not @t20)) % 0.41/0.62 (assume @p1 @t10) % 0.41/0.62 (assume @p2 true) % 0.41/0.62 (step @p3 :rule bool-double-not-elim :args (@t13)) % 0.41/0.62 (step @p4 :rule exists-elim :args ((= (exists @t8 @t12) (not @t13)))) % 0.41/0.62 (step @p5 :rule eq-symm :args (@t11 @t2)) % 0.41/0.62 (step @p6 :rule cong :premises (@p5) :args ((forall @t6 (= @t11 @t2)))) % 0.41/0.62 (step @p7 :rule refl :args (@t2)) % 0.41/0.62 (step @p8 :rule refl :args (@t11)) % 0.41/0.62 (step @p9 :rule refl :args (@t4)) % 0.41/0.62 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t4 @t11))) % 0.41/0.62 (step @p11 :rule symm :premises (@p10)) % 0.41/0.62 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.41/0.62 (step @p13 :rule cong :premises (@p12 @p7) :args (@t5)) % 0.41/0.62 (step @p14 :rule cong :premises (@p13) :args (@t7)) % 0.41/0.62 (step @p15 :rule trans :premises (@p14 @p6)) % 0.41/0.62 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.41/0.62 (step @p17 :rule trans :premises (@p16 @p4)) % 0.41/0.62 (step @p18 :rule cong :premises (@p17) :args (@t10)) % 0.41/0.62 (step @p19 :rule trans :premises (@p18 @p3)) % 0.41/0.62 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.41/0.62 (step @p21 :rule bool-impl-false1 :args (@t13)) % 0.41/0.62 (step @p22 :rule evaluate :args ((not true))) % 0.41/0.62 (step @p23 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 0.41/0.62 (step @p24 :rule eq-refl :args (@t2)) % 0.41/0.62 (step @p25 :rule bool-eq-true :args (@t1)) % 0.41/0.62 (step @p26 :rule cong :premises (@p25) :args (@t15)) % 0.41/0.62 (step @p27 :rule aci_norm :args ((= (and @t15 true) @t15))) % 0.41/0.62 (step @p28 :rule ite-then-false :args (@t14 true)) % 0.41/0.62 (step @p29 :rule trans :premises (@p28 @p27)) % 0.41/0.62 (step @p30 :rule trans :premises (@p29 @p26)) % 0.41/0.62 (step @p31 :rule beta-reduce :args ((= @t18 (ite @t14 false true)))) % 0.41/0.62 (step @p32 :rule trans :premises (@p31 @p30)) % 0.41/0.62 (step @p33 :rule refl :args (@t2)) % 0.41/0.62 (step @p34 :rule cong :premises (@p33 @p32) :args (@t19)) % 0.41/0.62 (step @p35 :rule trans :premises (@p34 @p24)) % 0.41/0.62 (step @p36 :rule cong :premises (@p35) :args (@t20)) % 0.41/0.62 (step @p37 :rule trans :premises (@p36 @p23)) % 0.41/0.62 (step @p38 :rule cong :premises (@p37) :args (@t21)) % 0.41/0.62 (step @p39 :rule trans :premises (@p38 @p22)) % 0.41/0.62 (step @p40 :rule refl :args (@t13)) % 0.41/0.62 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t13 @t21))) % 0.41/0.62 (step @p42 :rule trans :premises (@p41 @p21)) % 0.41/0.62 (assume-push @p49 @t13) % 0.41/0.62 (step @p44 :rule instantiate :premises (@p20) :args ((@list @t17))) % 0.41/0.62 (step-pop @p50 :rule scope :premises (@p44)) % 0.41/0.62 (step @p45 :rule process_scope :premises (@p50) :args (@t21)) % 0.41/0.62 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 0.41/0.62 (step @p48 false :rule chain_m_resolution :premises (@p47 @p20) :args (false (@list false) (@list @t13))) % 0.41/0.62 ) % 0.41/0.62 % SZS output end Proof % 0.41/0.62 % cvc5 exiting %------------------------------------------------------------------------------