%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO083^5 : 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 09:12:00 AM UTC 2026 % Result : Theorem 0.24s 0.51s % Output : Proof 0.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO083^5 : 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 % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 23:58:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 0.24/0.51 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.24/0.51 % SZS status Theorem % 0.24/0.51 % SZS output start Proof % 0.24/0.51 ( % 0.24/0.51 (declare-sort $$unsorted 0) % 0.24/0.51 (declare-const tptp.cA $$unsorted) % 0.24/0.51 (declare-const tptp.cB $$unsorted) % 0.24/0.51 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.24/0.51 (define @t1 () (@var "X" $$unsorted)) % 0.24/0.51 (define @t2 () (_ (_ tptp.cP @t1) @t1)) % 0.24/0.51 (define @t3 () (@list @t1)) % 0.24/0.51 (define @t4 () (exists @t3 @t2)) % 0.24/0.51 (define @t5 () (@var "V" $$unsorted)) % 0.24/0.51 (define @t6 () (_ (_ tptp.cP @t5) tptp.cB)) % 0.24/0.51 (define @t7 () (@list @t5)) % 0.24/0.51 (define @t8 () (forall @t7 @t6)) % 0.24/0.51 (define @t9 () (@var "U" $$unsorted)) % 0.24/0.51 (define @t10 () (_ (_ tptp.cP tptp.cA) @t9)) % 0.24/0.51 (define @t11 () (@list @t9)) % 0.24/0.51 (define @t12 () (forall @t11 @t10)) % 0.24/0.51 (define @t13 () (or @t12 @t8)) % 0.24/0.51 (define @t14 () (=> @t13 @t4)) % 0.24/0.51 (define @t15 () (not @t14)) % 0.24/0.51 (define @t16 () (tptp.cP @t1 @t1)) % 0.24/0.51 (define @t17 () (not @t2)) % 0.24/0.51 (define @t18 () (forall @t3 @t17)) % 0.24/0.51 (define @t19 () (not @t18)) % 0.24/0.51 (define @t20 () (tptp.cP @t5 tptp.cB)) % 0.24/0.51 (define @t21 () (tptp.cP tptp.cA @t9)) % 0.24/0.51 (define @t22 () (@list tptp.cA)) % 0.24/0.51 (define @t23 () (forall @t11 @t21)) % 0.24/0.51 (define @t24 () (tptp.cP tptp.cA tptp.cA)) % 0.24/0.51 (define @t25 () (@list true)) % 0.24/0.51 (define @t26 () (forall @t7 @t20)) % 0.24/0.51 (define @t27 () (@list tptp.cB)) % 0.24/0.51 (define @t28 () (tptp.cP tptp.cB tptp.cB)) % 0.24/0.51 (define @t29 () (forall @t3 (not @t16))) % 0.24/0.51 (assume @p1 @t15) % 0.24/0.51 (assume @p2 true) % 0.24/0.51 (step @p3 :rule refl :args (@t16)) % 0.24/0.51 (step @p4 :rule refl :args (@t2)) % 0.24/0.51 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t16))) % 0.24/0.51 (step @p6 :rule symm :premises (@p5)) % 0.24/0.51 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.24/0.51 (step @p8 :rule cong :premises (@p7) :args (@t17)) % 0.24/0.51 (step @p9 :rule cong :premises (@p8) :args (@t18)) % 0.24/0.51 (step @p10 :rule cong :premises (@p9) :args (@t19)) % 0.24/0.51 (step @p11 :rule exists-elim :args ((= @t4 @t19))) % 0.24/0.51 (step @p12 :rule trans :premises (@p11 @p10)) % 0.24/0.51 (step @p13 :rule refl :args (@t20)) % 0.24/0.51 (step @p14 :rule refl :args (@t6)) % 0.24/0.51 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t6 @t20))) % 0.24/0.51 (step @p16 :rule symm :premises (@p15)) % 0.24/0.51 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.24/0.51 (step @p18 :rule cong :premises (@p17) :args (@t8)) % 0.24/0.51 (step @p19 :rule refl :args (@t21)) % 0.24/0.51 (step @p20 :rule refl :args (@t10)) % 0.24/0.51 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t10 @t21))) % 0.24/0.51 (step @p22 :rule symm :premises (@p21)) % 0.24/0.51 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.24/0.51 (step @p24 :rule cong :premises (@p23) :args (@t12)) % 0.24/0.51 (step @p25 :rule nary_cong :premises (@p24 @p18) :args (@t13)) % 0.24/0.51 (step @p26 :rule cong :premises (@p25 @p12) :args (@t14)) % 0.24/0.51 (step @p27 :rule cong :premises (@p26) :args (@t15)) % 0.24/0.51 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 0.24/0.51 (step @p29 :rule not_implies_elim2 :premises (@p28)) % 0.24/0.51 (step @p30 :rule not_not_elim :premises (@p29)) % 0.24/0.51 (step @p31 :rule instantiate :premises (@p30) :args (@t22)) % 0.24/0.51 (assume-push @p52 @t23) % 0.24/0.51 (step @p33 :rule instantiate :premises (@p52) :args (@t22)) % 0.24/0.51 (step-pop @p53 :rule scope :premises (@p33)) % 0.24/0.51 (step @p34 :rule process_scope :premises (@p53) :args (@t24)) % 0.24/0.51 (step @p36 :rule implies_elim :premises (@p34)) % 0.24/0.51 (step @p37 :rule chain_m_resolution :premises (@p36 @p31) :args ((not @t23) @t25 (@list @t24))) % 0.24/0.51 (step @p38 :rule not_implies_elim1 :premises (@p28)) % 0.24/0.51 (step @p39 :rule chain_m_resolution :premises (@p38 @p37) :args (@t26 @t25 (@list @t23))) % 0.24/0.51 (assume-push @p54 @t26) % 0.24/0.51 (step @p41 :rule instantiate :premises (@p54) :args (@t27)) % 0.24/0.51 (step-pop @p55 :rule scope :premises (@p41)) % 0.24/0.51 (step @p42 :rule process_scope :premises (@p55) :args (@t28)) % 0.24/0.51 (step @p44 :rule implies_elim :premises (@p42)) % 0.24/0.51 (step @p45 :rule chain_m_resolution :premises (@p44 @p39) :args (@t28 (@list false) (@list @t26))) % 0.24/0.51 (assume-push @p56 @t29) % 0.24/0.51 (step @p47 :rule instantiate :premises (@p30) :args (@t27)) % 0.24/0.51 (step-pop @p57 :rule scope :premises (@p47)) % 0.24/0.51 (step @p48 :rule process_scope :premises (@p57) :args ((not @t28))) % 0.24/0.51 (step @p50 :rule implies_elim :premises (@p48)) % 0.24/0.51 (step @p51 false :rule chain_m_resolution :premises (@p50 @p45 @p30) :args (false (@list false false) (@list @t28 @t29))) % 0.24/0.51 ) % 0.24/0.51 % SZS output end Proof % 0.24/0.51 % cvc5 exiting %------------------------------------------------------------------------------