%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM708^1 : TPTP v9.2.1. Released v3.7.0. % 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 08:40:27 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 : NUM708^1 : TPTP v9.2.1. Released v3.7.0. % 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 : Tue Jun 2 12:01:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----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 tptp.nat 0) % 0.15/0.35 (declare-const tptp.x tptp.nat) % 0.15/0.35 (declare-const tptp.ts (-> tptp.nat tptp.nat tptp.nat)) % 0.15/0.35 (declare-const tptp.n_1 tptp.nat) % 0.15/0.35 (define @t1 () (@var "Xx" tptp.nat)) % 0.15/0.35 (define @t2 () (_ tptp.ts tptp.n_1)) % 0.15/0.35 (define @t3 () (_ @t2 @t1)) % 0.15/0.35 (define @t4 () (@list @t1)) % 0.15/0.35 (define @t5 () (forall @t4 (= @t3 @t1))) % 0.15/0.35 (define @t6 () (_ @t2 tptp.x)) % 0.15/0.35 (define @t7 () (= tptp.x @t6)) % 0.15/0.35 (define @t8 () (not @t7)) % 0.15/0.35 (define @t9 () (tptp.ts tptp.n_1 @t1)) % 0.15/0.35 (define @t10 () (= @t1 @t3)) % 0.15/0.35 (define @t11 () (tptp.ts tptp.n_1 tptp.x)) % 0.15/0.35 (define @t12 () (forall @t4 (= @t1 @t9))) % 0.15/0.35 (define @t13 () (= tptp.x @t11)) % 0.15/0.35 (assume @p1 @t5) % 0.15/0.35 (assume @p2 @t8) % 0.15/0.35 (assume @p3 true) % 0.15/0.35 (step @p4 :rule refl :args (@t9)) % 0.15/0.35 (step @p5 :rule refl :args (@t3)) % 0.15/0.35 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t9))) % 0.15/0.35 (step @p7 :rule symm :premises (@p6)) % 0.15/0.35 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.15/0.35 (step @p9 :rule refl :args (@t1)) % 0.15/0.35 (step @p10 :rule cong :premises (@p9 @p8) :args (@t10)) % 0.15/0.35 (step @p11 :rule cong :premises (@p10) :args ((forall @t4 @t10))) % 0.15/0.35 (step @p12 :rule eq-symm :args (@t3 @t1)) % 0.15/0.35 (step @p13 :rule cong :premises (@p12) :args (@t5)) % 0.15/0.35 (step @p14 :rule trans :premises (@p13 @p11)) % 0.15/0.35 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.15/0.35 (step @p16 :rule refl :args (@t11)) % 0.15/0.35 (step @p17 :rule refl :args (@t6)) % 0.15/0.35 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t6 @t11))) % 0.15/0.35 (step @p19 :rule symm :premises (@p18)) % 0.15/0.35 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.15/0.35 (step @p21 :rule refl :args (tptp.x)) % 0.15/0.35 (step @p22 :rule cong :premises (@p21 @p20) :args (@t7)) % 0.15/0.35 (step @p23 :rule cong :premises (@p22) :args (@t8)) % 0.15/0.35 (step @p24 :rule eq_resolve :premises (@p2 @p23)) % 0.15/0.35 (assume-push @p32 @t12) % 0.15/0.35 (step @p26 :rule instantiate :premises (@p15) :args ((@list tptp.x))) % 0.15/0.35 (step-pop @p33 :rule scope :premises (@p26)) % 0.15/0.35 (step @p27 :rule process_scope :premises (@p33) :args (@t13)) % 0.15/0.35 (step @p29 :rule implies_elim :premises (@p27)) % 0.15/0.35 (step @p30 :rule reordering :premises (@p29) :args ((or @t13 (not @t12)))) % 0.15/0.35 (step @p31 false :rule chain_m_resolution :premises (@p30 @p24 @p15) :args (false (@list true false) (@list @t13 @t12))) % 0.15/0.35 ) % 0.15/0.35 % SZS output end Proof % 0.15/0.35 % cvc5 exiting %------------------------------------------------------------------------------