%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM641^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:40:08 AM UTC 2026 % Result : Theorem 0.28s 0.54s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM641^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:39:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.48 %----Proving TH0 % 0.28/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.54 % SZS status Theorem % 0.28/0.54 % SZS output start Proof % 0.28/0.54 ( % 0.28/0.54 (declare-sort tptp.nat 0) % 0.28/0.54 (declare-const tptp.x tptp.nat) % 0.28/0.54 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.28/0.54 (declare-const tptp.n_1 tptp.nat) % 0.28/0.54 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.28/0.54 (define @t1 () (@var "Xx" tptp.nat)) % 0.28/0.54 (define @t2 () (_ tptp.suc @t1)) % 0.28/0.54 (define @t3 () (_ tptp.pl tptp.n_1)) % 0.28/0.54 (define @t4 () (_ @t3 @t1)) % 0.28/0.54 (define @t5 () (= @t4 @t2)) % 0.28/0.54 (define @t6 () (@list @t1)) % 0.28/0.54 (define @t7 () (forall @t6 @t5)) % 0.28/0.54 (define @t8 () (_ @t3 tptp.x)) % 0.28/0.54 (define @t9 () (_ tptp.suc tptp.x)) % 0.28/0.54 (define @t10 () (= @t9 @t8)) % 0.28/0.54 (define @t11 () (not @t10)) % 0.28/0.54 (define @t12 () (tptp.suc @t1)) % 0.28/0.54 (define @t13 () (tptp.pl tptp.n_1 @t1)) % 0.28/0.54 (define @t14 () (tptp.suc tptp.x)) % 0.28/0.54 (define @t15 () (tptp.pl tptp.n_1 tptp.x)) % 0.28/0.54 (define @t16 () (forall @t6 (= @t13 @t12))) % 0.28/0.54 (define @t17 () (= @t15 @t14)) % 0.28/0.54 (assume @p1 @t7) % 0.28/0.54 (assume @p2 @t11) % 0.28/0.54 (assume @p3 true) % 0.28/0.54 (step @p4 :rule refl :args (@t12)) % 0.28/0.54 (step @p5 :rule refl :args (@t2)) % 0.28/0.54 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t2 @t12))) % 0.28/0.54 (step @p7 :rule symm :premises (@p6)) % 0.28/0.54 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.28/0.54 (step @p9 :rule refl :args (@t13)) % 0.28/0.54 (step @p10 :rule refl :args (@t4)) % 0.28/0.54 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t4 @t13))) % 0.28/0.54 (step @p12 :rule symm :premises (@p11)) % 0.28/0.54 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.28/0.54 (step @p14 :rule cong :premises (@p13 @p8) :args (@t5)) % 0.28/0.54 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.28/0.54 (step @p16 :rule eq_resolve :premises (@p1 @p15)) % 0.28/0.54 (step @p17 :rule eq-symm :args (@t14 @t15)) % 0.28/0.54 (step @p18 :rule refl :args (@t15)) % 0.28/0.54 (step @p19 :rule refl :args (@t8)) % 0.28/0.54 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t8 @t15))) % 0.28/0.54 (step @p21 :rule symm :premises (@p20)) % 0.28/0.54 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.28/0.54 (step @p23 :rule refl :args (@t14)) % 0.28/0.54 (step @p24 :rule refl :args (@t9)) % 0.28/0.54 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t9 @t14))) % 0.28/0.54 (step @p26 :rule symm :premises (@p25)) % 0.28/0.54 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.28/0.54 (step @p28 :rule cong :premises (@p27 @p22) :args (@t10)) % 0.28/0.54 (step @p29 :rule trans :premises (@p28 @p17)) % 0.28/0.54 (step @p30 :rule cong :premises (@p29) :args (@t11)) % 0.28/0.54 (step @p31 :rule eq_resolve :premises (@p2 @p30)) % 0.28/0.54 (assume-push @p39 @t16) % 0.28/0.54 (step @p33 :rule instantiate :premises (@p16) :args ((@list tptp.x))) % 0.28/0.54 (step-pop @p40 :rule scope :premises (@p33)) % 0.28/0.54 (step @p34 :rule process_scope :premises (@p40) :args (@t17)) % 0.28/0.54 (step @p36 :rule implies_elim :premises (@p34)) % 0.28/0.54 (step @p37 :rule reordering :premises (@p36) :args ((or @t17 (not @t16)))) % 0.28/0.54 (step @p38 false :rule chain_m_resolution :premises (@p37 @p31 @p16) :args (false (@list true false) (@list @t17 @t16))) % 0.28/0.54 ) % 0.28/0.54 % SZS output end Proof % 0.28/0.54 % cvc5 exiting %------------------------------------------------------------------------------