%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM921_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:40:59 AM UTC 2026 % Result : Theorem 0.31s 0.56s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM921_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n028.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 12:32:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_ARI % 0.31/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.31/0.56 % SZS status Theorem % 0.31/0.56 % SZS output start Proof % 0.31/0.56 ( % 0.31/0.56 (declare-const tptp.f (-> Int Int)) % 0.31/0.56 (define @t1 () (@var "V" Int)) % 0.31/0.56 (define @t2 () (tptp.f @t1)) % 0.31/0.56 (define @t3 () (- @t1 @t2)) % 0.31/0.56 (define @t4 () (@list @t1)) % 0.31/0.56 (define @t5 () (forall @t4 (< @t3 0))) % 0.31/0.56 (define @t6 () (@var "U" Int)) % 0.31/0.56 (define @t7 () (tptp.f @t6)) % 0.31/0.56 (define @t8 () (@list @t6)) % 0.31/0.56 (define @t9 () (forall @t8 (> @t7 @t6))) % 0.31/0.56 (define @t10 () (=> @t9 @t5)) % 0.31/0.56 (define @t11 () (not @t10)) % 0.31/0.56 (define @t12 () (+ @t1 (* -1 @t2))) % 0.31/0.56 (define @t13 () (>= @t3 0)) % 0.31/0.56 (define @t14 () (+ @t6 (* -1 @t7))) % 0.31/0.56 (define @t15 () (>= @t14 0)) % 0.31/0.56 (define @t16 () (>= @t6 @t7)) % 0.31/0.56 (define @t17 () (forall @t8 (not @t15))) % 0.31/0.56 (define @t18 () (forall @t4 (not (>= @t12 0)))) % 0.31/0.56 (define @t19 () (@list false)) % 0.31/0.56 (assume @p1 @t11) % 0.31/0.56 (assume @p2 true) % 0.31/0.56 (step @p3 :rule refl :args (0)) % 0.31/0.56 (step @p4 :rule arith_poly_norm :args ((= @t3 @t12))) % 0.31/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args (@t13)) % 0.31/0.56 (step @p6 :rule cong :premises (@p5) :args ((not @t13))) % 0.31/0.56 (step @p7 :rule arith-elim-lt :args (@t3 0)) % 0.31/0.56 (step @p8 :rule trans :premises (@p7 @p6)) % 0.31/0.56 (step @p9 :rule cong :premises (@p8) :args (@t5)) % 0.31/0.56 (step @p10 :rule arith_poly_norm :args ((= (* 1 (- @t6 @t7)) (* 1 (- @t14 0))))) % 0.31/0.56 (step @p11 :rule arith_poly_norm_rel :premises (@p10) :args ((= @t16 @t15))) % 0.31/0.56 (step @p12 :rule arith-elim-leq :args (@t7 @t6)) % 0.31/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.31/0.56 (step @p14 :rule cong :premises (@p13) :args ((not (<= @t7 @t6)))) % 0.31/0.56 (step @p15 :rule symm :premises (@p12)) % 0.31/0.56 (step @p16 :rule cong :premises (@p15) :args ((not @t16))) % 0.31/0.56 (step @p17 :rule arith-elim-gt :args (@t7 @t6)) % 0.31/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.31/0.56 (step @p19 :rule trans :premises (@p18 @p14)) % 0.31/0.56 (step @p20 :rule cong :premises (@p19) :args (@t9)) % 0.31/0.56 (step @p21 :rule cong :premises (@p20 @p9) :args (@t10)) % 0.31/0.56 (step @p22 :rule cong :premises (@p21) :args (@t11)) % 0.31/0.56 (step @p23 :rule eq_resolve :premises (@p1 @p22)) % 0.31/0.56 (step @p24 :rule not_implies_elim1 :premises (@p23)) % 0.31/0.56 (step @p25 :rule alpha_equiv :args (@t17 (@list @t6) (@list @t1))) % 0.31/0.56 (step @p26 :rule equiv_elim1 :premises (@p25)) % 0.31/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t18 (not @t17)))) % 0.31/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p24) :args (@t18 @t19 (@list @t17))) % 0.31/0.56 (step @p29 :rule not_implies_elim2 :premises (@p23)) % 0.31/0.56 (step @p30 false :rule chain_m_resolution :premises (@p29 @p28) :args (false @t19 (@list @t18))) % 0.31/0.56 ) % 0.31/0.56 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------