%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO194^5 : 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 : n027.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 09:12:12 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYO194^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n027.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 00:00:36 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (define @t1 () (@var "Xx" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.38/0.59 (define @t3 () (_ @t2 @t1)) % 0.38/0.59 (define @t4 () (@list @t2)) % 0.38/0.59 (define @t5 () (exists @t4 (= @t3 @t1))) % 0.38/0.59 (define @t6 () (@list @t1)) % 0.38/0.59 (define @t7 () (forall @t6 @t5)) % 0.38/0.59 (define @t8 () (not @t7)) % 0.38/0.59 (define @t9 () (_ @t2 @t1)) % 0.38/0.59 (define @t10 () (= @t1 @t3)) % 0.38/0.59 (define @t11 () (not @t10)) % 0.38/0.59 (define @t12 () (forall @t4 @t11)) % 0.38/0.59 (define @t13 () (not @t12)) % 0.38/0.59 (define @t14 () (forall @t6 (not (forall @t4 (not (= @t1 @t9)))))) % 0.38/0.59 (define @t15 () (@quantifiers_skolemize @t14 0)) % 0.38/0.59 (define @t16 () (forall @t4 (not (= @t15 (_ @t2 @t15))))) % 0.38/0.59 (define @t17 () (not @t14)) % 0.38/0.59 (define @t18 () (not (not @t16))) % 0.38/0.59 (define @t19 () (@var "BOUND_VARIABLE_14477" $$unsorted)) % 0.38/0.59 (define @t20 () (lambda (@list @t19) @t19)) % 0.38/0.59 (define @t21 () (_ @t20 @t15)) % 0.38/0.59 (define @t22 () (= @t15 @t21)) % 0.38/0.59 (define @t23 () (not @t22)) % 0.38/0.59 (assume @p1 @t8) % 0.38/0.59 (assume @p2 true) % 0.38/0.59 (step @p3 :rule refl :args (@t9)) % 0.38/0.59 (step @p4 :rule refl :args (@t3)) % 0.38/0.59 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t9))) % 0.38/0.59 (step @p6 :rule symm :premises (@p5)) % 0.38/0.59 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.59 (step @p8 :rule refl :args (@t1)) % 0.38/0.59 (step @p9 :rule cong :premises (@p8 @p7) :args (@t10)) % 0.38/0.59 (step @p10 :rule cong :premises (@p9) :args (@t11)) % 0.38/0.59 (step @p11 :rule cong :premises (@p10) :args (@t12)) % 0.38/0.59 (step @p12 :rule cong :premises (@p11) :args (@t13)) % 0.38/0.59 (step @p13 :rule exists-elim :args ((= (exists @t4 @t10) @t13))) % 0.38/0.59 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.59 (step @p15 :rule eq-symm :args (@t3 @t1)) % 0.38/0.59 (step @p16 :rule cong :premises (@p15) :args (@t5)) % 0.38/0.59 (step @p17 :rule trans :premises (@p16 @p14)) % 0.38/0.59 (step @p18 :rule cong :premises (@p17) :args (@t7)) % 0.38/0.59 (step @p19 :rule cong :premises (@p18) :args (@t8)) % 0.38/0.59 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.38/0.59 (step @p21 :rule refl :args (@t16)) % 0.38/0.59 (step @p22 :rule bool-double-not-elim :args (@t14)) % 0.38/0.59 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t17) @t16))) % 0.38/0.59 (step @p24 :rule bool-double-not-elim :args (@t16)) % 0.38/0.59 (step @p25 :rule refl :args (@t17)) % 0.38/0.59 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t17 @t18))) % 0.38/0.59 (assume-push @p52 @t17) % 0.38/0.59 (step @p28 :rule skolemize :premises (@p20)) % 0.38/0.59 (step-pop @p53 :rule scope :premises (@p28)) % 0.38/0.59 (step @p29 :rule process_scope :premises (@p53) :args (@t18)) % 0.38/0.59 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.38/0.59 (step @p32 :rule implies_elim :premises (@p31)) % 0.38/0.59 (step @p33 :rule eq_resolve :premises (@p32 @p23)) % 0.38/0.59 (step @p34 :rule chain_m_resolution :premises (@p33 @p20) :args (@t16 (@list true) (@list @t14))) % 0.38/0.59 (step @p35 :rule bool-impl-false1 :args (@t16)) % 0.38/0.59 (step @p36 :rule evaluate :args ((not true))) % 0.38/0.59 (step @p37 :rule eq-refl :args (@t15)) % 0.38/0.59 (step @p38 :rule beta-reduce :args ((= @t21 @t15))) % 0.38/0.59 (step @p39 :rule refl :args (@t15)) % 0.38/0.59 (step @p40 :rule cong :premises (@p39 @p38) :args (@t22)) % 0.38/0.59 (step @p41 :rule trans :premises (@p40 @p37)) % 0.38/0.59 (step @p42 :rule cong :premises (@p41) :args (@t23)) % 0.38/0.59 (step @p43 :rule trans :premises (@p42 @p36)) % 0.38/0.59 (step @p44 :rule cong :premises (@p21 @p43) :args ((=> @t16 @t23))) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p35)) % 0.38/0.59 (assume-push @p54 @t16) % 0.38/0.59 (step @p47 :rule instantiate :premises (@p34) :args ((@list @t20))) % 0.38/0.59 (step-pop @p55 :rule scope :premises (@p47)) % 0.38/0.59 (step @p48 :rule process_scope :premises (@p55) :args (@t23)) % 0.38/0.59 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 0.38/0.59 (step @p51 false :rule chain_m_resolution :premises (@p50 @p34) :args (false (@list false) (@list @t16))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------