%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO252^5 : 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 : n025.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 09:12:18 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO252^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 00:01:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.36/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (define @t1 () (@var "Xp" Bool)) % 0.36/0.60 (define @t2 () (@var "Xf" (-> Bool Bool))) % 0.36/0.60 (define @t3 () (_ @t2 @t1)) % 0.36/0.60 (define @t4 () (not @t3)) % 0.36/0.60 (define @t5 () (@list @t2)) % 0.36/0.60 (define @t6 () (exists @t5 @t4)) % 0.36/0.60 (define @t7 () (@list @t1)) % 0.36/0.60 (define @t8 () (forall @t7 @t6)) % 0.36/0.60 (define @t9 () (not @t8)) % 0.36/0.60 (define @t10 () (_ @t2 @t1)) % 0.36/0.60 (define @t11 () (forall @t5 (not @t4))) % 0.36/0.60 (define @t12 () (not @t11)) % 0.36/0.60 (define @t13 () (forall @t7 (not (forall @t5 @t10)))) % 0.36/0.60 (define @t14 () (@quantifiers_skolemize @t13 0)) % 0.36/0.60 (define @t15 () (forall @t5 (_ @t2 @t14))) % 0.36/0.60 (define @t16 () (not @t13)) % 0.36/0.60 (define @t17 () (not (not @t15))) % 0.36/0.60 (define @t18 () (lambda (@list (@var "BOUND_VARIABLE_14476" Bool)) false)) % 0.36/0.60 (define @t19 () (_ @t18 @t14)) % 0.36/0.60 (assume @p1 @t9) % 0.36/0.60 (assume @p2 true) % 0.36/0.60 (step @p3 :rule refl :args (@t10)) % 0.36/0.60 (step @p4 :rule refl :args (@t3)) % 0.36/0.60 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t10))) % 0.36/0.60 (step @p6 :rule symm :premises (@p5)) % 0.36/0.60 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.36/0.60 (step @p8 :rule cong :premises (@p7) :args ((forall @t5 @t3))) % 0.36/0.60 (step @p9 :rule bool-double-not-elim :args (@t3)) % 0.36/0.60 (step @p10 :rule cong :premises (@p9) :args (@t11)) % 0.36/0.60 (step @p11 :rule trans :premises (@p10 @p8)) % 0.36/0.60 (step @p12 :rule cong :premises (@p11) :args (@t12)) % 0.36/0.60 (step @p13 :rule exists-elim :args ((= @t6 @t12))) % 0.36/0.60 (step @p14 :rule trans :premises (@p13 @p12)) % 0.36/0.60 (step @p15 :rule cong :premises (@p14) :args (@t8)) % 0.36/0.60 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.36/0.60 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.36/0.60 (step @p18 :rule refl :args (@t15)) % 0.36/0.60 (step @p19 :rule bool-double-not-elim :args (@t13)) % 0.36/0.60 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t16) @t15))) % 0.36/0.60 (step @p21 :rule bool-double-not-elim :args (@t15)) % 0.36/0.60 (step @p22 :rule refl :args (@t16)) % 0.36/0.60 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t16 @t17))) % 0.36/0.60 (assume-push @p42 @t16) % 0.36/0.60 (step @p25 :rule skolemize :premises (@p17)) % 0.36/0.60 (step-pop @p43 :rule scope :premises (@p25)) % 0.36/0.60 (step @p26 :rule process_scope :premises (@p43) :args (@t17)) % 0.36/0.60 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 0.36/0.60 (step @p29 :rule implies_elim :premises (@p28)) % 0.36/0.60 (step @p30 :rule eq_resolve :premises (@p29 @p20)) % 0.36/0.60 (step @p31 :rule chain_m_resolution :premises (@p30 @p17) :args (@t15 (@list true) (@list @t13))) % 0.36/0.60 (step @p32 :rule bool-impl-false1 :args (@t15)) % 0.36/0.60 (step @p33 :rule beta-reduce :args ((= @t19 false))) % 0.36/0.60 (step @p34 :rule cong :premises (@p18 @p33) :args ((=> @t15 @t19))) % 0.36/0.60 (step @p35 :rule trans :premises (@p34 @p32)) % 0.36/0.60 (assume-push @p44 @t15) % 0.36/0.60 (step @p37 :rule instantiate :premises (@p31) :args ((@list @t18))) % 0.36/0.60 (step-pop @p45 :rule scope :premises (@p37)) % 0.36/0.60 (step @p38 :rule process_scope :premises (@p45) :args (@t19)) % 0.36/0.60 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.36/0.60 (step @p41 false :rule chain_m_resolution :premises (@p40 @p31) :args (false (@list false) (@list @t15))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------