%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO232^5 : 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 : n012.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 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO232^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Wed Jun 3 00:01:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 0.15/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort tptp.a 0) % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.y $$unsorted) % 0.15/0.36 (declare-const tptp.cB Bool) % 0.15/0.36 (declare-const tptp.x tptp.a) % 0.15/0.36 (declare-const tptp.cP (-> tptp.a Bool)) % 0.15/0.36 (define @t1 () (@var "Xx0" tptp.a)) % 0.15/0.36 (define @t2 () (_ tptp.cP @t1)) % 0.15/0.36 (define @t3 () (@list @t1)) % 0.15/0.36 (define @t4 () (exists @t3 @t2)) % 0.15/0.36 (define @t5 () (_ tptp.cP tptp.x)) % 0.15/0.36 (define @t6 () (=> @t5 @t4)) % 0.15/0.36 (define @t7 () (=> (= tptp.y tptp.y) tptp.cB)) % 0.15/0.36 (define @t8 () (=> @t7 @t6)) % 0.15/0.36 (define @t9 () (not @t8)) % 0.15/0.36 (define @t10 () (tptp.cP @t1)) % 0.15/0.36 (define @t11 () (forall @t3 (not @t10))) % 0.15/0.36 (define @t12 () (not @t11)) % 0.15/0.36 (define @t13 () (tptp.cP tptp.x)) % 0.15/0.36 (define @t14 () (=> @t5 @t12)) % 0.15/0.36 (define @t15 () (not @t2)) % 0.15/0.36 (define @t16 () (forall @t3 @t15)) % 0.15/0.36 (define @t17 () (not @t16)) % 0.15/0.36 (define @t18 () (=> tptp.cB @t14)) % 0.15/0.36 (assume @p1 @t9) % 0.15/0.36 (assume @p2 true) % 0.15/0.36 (step @p3 :rule refl :args (@t12)) % 0.15/0.36 (step @p4 :rule refl :args (@t13)) % 0.15/0.36 (step @p5 :rule refl :args (@t5)) % 0.15/0.36 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t5 @t13))) % 0.15/0.36 (step @p7 :rule symm :premises (@p6)) % 0.15/0.36 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.15/0.36 (step @p9 :rule cong :premises (@p8 @p3) :args (@t14)) % 0.15/0.36 (step @p10 :rule cong :premises (@p9) :args ((not @t14))) % 0.15/0.36 (step @p11 :rule bool-impl-true2 :args (@t14)) % 0.15/0.36 (step @p12 :rule cong :premises (@p11) :args ((not (=> true @t14)))) % 0.15/0.36 (step @p13 :rule refl :args (@t14)) % 0.15/0.36 (step @p14 :rule bool-eq-true :args (tptp.cB)) % 0.15/0.36 (step @p15 :rule symm :premises (@p14)) % 0.15/0.36 (step @p16 :rule refl :args (@t10)) % 0.15/0.36 (step @p17 :rule refl :args (@t2)) % 0.15/0.36 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t2 @t10))) % 0.15/0.36 (step @p19 :rule symm :premises (@p18)) % 0.15/0.36 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.15/0.36 (step @p21 :rule cong :premises (@p20) :args (@t15)) % 0.15/0.36 (step @p22 :rule cong :premises (@p21) :args (@t16)) % 0.15/0.36 (step @p23 :rule cong :premises (@p22) :args (@t17)) % 0.15/0.36 (step @p24 :rule exists-elim :args ((= @t4 @t17))) % 0.15/0.36 (step @p25 :rule trans :premises (@p24 @p23)) % 0.15/0.36 (step @p26 :rule refl :args (@t5)) % 0.15/0.36 (step @p27 :rule cong :premises (@p26 @p25) :args (@t6)) % 0.15/0.36 (step @p28 :rule bool-impl-true2 :args (tptp.cB)) % 0.15/0.36 (step @p29 :rule refl :args (tptp.cB)) % 0.15/0.36 (step @p30 :rule eq-refl :args (tptp.y)) % 0.15/0.36 (step @p31 :rule cong :premises (@p30 @p29) :args (@t7)) % 0.15/0.36 (step @p32 :rule trans :premises (@p31 @p28)) % 0.15/0.36 (step @p33 :rule cong :premises (@p32 @p27) :args (@t8)) % 0.15/0.36 (step @p34 :rule cong :premises (@p33) :args (@t9)) % 0.15/0.36 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.15/0.36 (step @p36 :rule not_implies_elim1 :premises (@p35)) % 0.15/0.36 (step @p37 :rule eq_resolve :premises (@p36 @p15)) % 0.15/0.36 (step @p38 :rule cong :premises (@p37 @p13) :args (@t18)) % 0.15/0.36 (step @p39 :rule cong :premises (@p38) :args ((not @t18))) % 0.15/0.36 (step @p40 :rule trans :premises (@p39 @p12)) % 0.15/0.36 (step @p41 :rule trans :premises (@p34 @p40 @p10)) % 0.15/0.36 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.15/0.36 (step @p43 :rule not_implies_elim1 :premises (@p42)) % 0.15/0.36 (step @p44 :rule not_implies_elim2 :premises (@p42)) % 0.15/0.36 (step @p45 :rule not_not_elim :premises (@p44)) % 0.15/0.36 (assume-push @p52 @t11) % 0.15/0.36 (step @p47 :rule instantiate :premises (@p45) :args ((@list tptp.x))) % 0.15/0.36 (step-pop @p53 :rule scope :premises (@p47)) % 0.15/0.36 (step @p48 :rule process_scope :premises (@p53) :args ((not @t13))) % 0.15/0.36 (step @p50 :rule implies_elim :premises (@p48)) % 0.15/0.36 (step @p51 false :rule chain_m_resolution :premises (@p50 @p45 @p43) :args (false (@list false false) (@list @t11 @t13))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------