%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO135^5 : 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 : n024.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 09:12:05 AM UTC 2026 % Result : Theorem 0.15s 0.35s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO135^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 18:59:15 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.32 %----Proving TH0 % 0.15/0.35 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.35 % SZS status Theorem % 0.15/0.35 % SZS output start Proof % 0.15/0.35 ( % 0.15/0.35 (declare-sort $$unsorted 0) % 0.15/0.35 (declare-const tptp.a $$unsorted) % 0.15/0.35 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.15/0.35 (declare-const tptp.b $$unsorted) % 0.15/0.35 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.15/0.35 (declare-const tptp.x $$unsorted) % 0.15/0.35 (define @t1 () (_ tptp.cQ tptp.x)) % 0.15/0.35 (define @t2 () (_ tptp.cP tptp.b)) % 0.15/0.35 (define @t3 () (_ tptp.cP tptp.a)) % 0.15/0.35 (define @t4 () (and @t3 @t2)) % 0.15/0.35 (define @t5 () (or @t4 @t1)) % 0.15/0.35 (define @t6 () (@var "Xx0" $$unsorted)) % 0.15/0.35 (define @t7 () (_ tptp.cP @t6)) % 0.15/0.35 (define @t8 () (@list @t6)) % 0.15/0.35 (define @t9 () (forall @t8 @t7)) % 0.15/0.35 (define @t10 () (or @t9 @t1)) % 0.15/0.35 (define @t11 () (=> @t10 @t5)) % 0.15/0.35 (define @t12 () (not @t11)) % 0.15/0.35 (define @t13 () (tptp.cQ tptp.x)) % 0.15/0.35 (define @t14 () (tptp.cP tptp.b)) % 0.15/0.35 (define @t15 () (tptp.cP tptp.a)) % 0.15/0.35 (define @t16 () (tptp.cP @t6)) % 0.15/0.35 (define @t17 () (forall @t8 @t16)) % 0.15/0.35 (define @t18 () (or @t17 @t1)) % 0.15/0.35 (define @t19 () (=> @t18 @t5)) % 0.15/0.35 (assume @p1 @t12) % 0.15/0.35 (assume @p2 true) % 0.15/0.35 (step @p3 :rule refl :args (@t13)) % 0.15/0.35 (step @p4 :rule refl :args (@t1)) % 0.15/0.35 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t1 @t13))) % 0.15/0.35 (step @p6 :rule symm :premises (@p5)) % 0.15/0.35 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.15/0.35 (step @p8 :rule refl :args (@t14)) % 0.15/0.35 (step @p9 :rule refl :args (@t2)) % 0.15/0.35 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t2 @t14))) % 0.15/0.35 (step @p11 :rule symm :premises (@p10)) % 0.15/0.35 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.15/0.35 (step @p13 :rule refl :args (@t15)) % 0.15/0.35 (step @p14 :rule refl :args (@t3)) % 0.15/0.35 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t3 @t15))) % 0.15/0.35 (step @p16 :rule symm :premises (@p15)) % 0.15/0.35 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.15/0.35 (step @p18 :rule nary_cong :premises (@p17 @p12) :args (@t4)) % 0.15/0.35 (step @p19 :rule nary_cong :premises (@p18 @p7) :args (@t5)) % 0.15/0.35 (step @p20 :rule refl :args (@t17)) % 0.15/0.35 (step @p21 :rule nary_cong :premises (@p20 @p7) :args (@t18)) % 0.15/0.35 (step @p22 :rule cong :premises (@p21 @p19) :args (@t19)) % 0.15/0.35 (step @p23 :rule cong :premises (@p22) :args ((not @t19))) % 0.15/0.36 (step @p24 :rule refl :args (@t5)) % 0.15/0.36 (step @p25 :rule refl :args (@t1)) % 0.15/0.36 (step @p26 :rule refl :args (@t16)) % 0.15/0.36 (step @p27 :rule refl :args (@t7)) % 0.15/0.36 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t7 @t16))) % 0.15/0.36 (step @p29 :rule symm :premises (@p28)) % 0.15/0.36 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.15/0.36 (step @p31 :rule cong :premises (@p30) :args (@t9)) % 0.15/0.36 (step @p32 :rule nary_cong :premises (@p31 @p25) :args (@t10)) % 0.15/0.36 (step @p33 :rule cong :premises (@p32 @p24) :args (@t11)) % 0.15/0.36 (step @p34 :rule cong :premises (@p33) :args (@t12)) % 0.15/0.36 (step @p35 :rule trans :premises (@p34 @p23)) % 0.15/0.36 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.15/0.36 (step @p37 :rule not_implies_elim2 :premises (@p36)) % 0.15/0.36 (step @p38 :rule not_or_elim :premises (@p37) :args (1)) % 0.15/0.36 (step @p39 :rule not_implies_elim1 :premises (@p36)) % 0.15/0.36 (step @p40 :rule chain_m_resolution :premises (@p39 @p38) :args (@t17 (@list true) (@list @t13))) % 0.15/0.36 (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.a))) % 0.15/0.36 (step @p42 :rule not_or_elim :premises (@p37) :args (0)) % 0.15/0.36 (step @p43 :rule not_and :premises (@p42)) % 0.15/0.36 (step @p44 :rule chain_m_resolution :premises (@p43 @p41) :args ((not @t14) (@list false) (@list @t15))) % 0.15/0.36 (assume-push @p51 @t17) % 0.15/0.36 (step @p46 :rule instantiate :premises (@p40) :args ((@list tptp.b))) % 0.15/0.36 (step-pop @p52 :rule scope :premises (@p46)) % 0.15/0.36 (step @p47 :rule process_scope :premises (@p52) :args (@t14)) % 0.15/0.36 (step @p49 :rule implies_elim :premises (@p47)) % 0.15/0.36 (step @p50 false :rule chain_m_resolution :premises (@p49 @p44 @p40) :args (false (@list true false) (@list @t14 @t17))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------