%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM900_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 : n025.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 08:40:56 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM900_1 : TPTP v9.2.1. Released v5.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 12:31:46 EDT 2026 % 0.17/0.36 % CPUTime : % 0.32/0.51 %----Proving TF0_ARI % 0.32/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (define @t1 () (@var "X" Int)) % 0.32/0.57 (define @t2 () (@var "Y" Int)) % 0.32/0.57 (define @t3 () (@var "Z" Int)) % 0.32/0.57 (define @t4 () (- @t1 @t2)) % 0.32/0.57 (define @t5 () (= @t4 @t3)) % 0.32/0.57 (define @t6 () (and @t5 (< 0 @t3))) % 0.32/0.57 (define @t7 () (=> @t6 (< @t2 @t1))) % 0.32/0.57 (define @t8 () (@list @t1 @t2 @t3)) % 0.32/0.57 (define @t9 () (forall @t8 @t7)) % 0.32/0.57 (define @t10 () (not @t9)) % 0.32/0.57 (define @t11 () (@list @t2 @t3)) % 0.32/0.57 (define @t12 () (>= @t3 1)) % 0.32/0.57 (define @t13 () (not @t12)) % 0.32/0.57 (define @t14 () (or @t13 @t12)) % 0.32/0.57 (define @t15 () (* -1 @t2)) % 0.32/0.57 (define @t16 () (+ @t15 @t3 @t2)) % 0.32/0.57 (define @t17 () (+ @t2 @t3)) % 0.32/0.57 (define @t18 () (+ @t17 @t15)) % 0.32/0.57 (define @t19 () (>= @t18 1)) % 0.32/0.57 (define @t20 () (not (= @t17 @t17))) % 0.32/0.57 (define @t21 () (or @t20 @t13 @t19)) % 0.32/0.57 (define @t22 () (+ @t1 @t15)) % 0.32/0.57 (define @t23 () (>= @t22 1)) % 0.32/0.57 (define @t24 () (= @t1 @t17)) % 0.32/0.57 (define @t25 () (not @t24)) % 0.32/0.57 (define @t26 () (or @t25 @t25 @t13 @t23)) % 0.32/0.57 (define @t27 () (@list @t1)) % 0.32/0.57 (define @t28 () (or @t25 @t13 @t23)) % 0.32/0.57 (define @t29 () (forall @t27 @t28)) % 0.32/0.57 (define @t30 () (forall @t11 @t29)) % 0.32/0.57 (define @t31 () (forall (@list @t2 @t3 @t1) @t28)) % 0.32/0.57 (define @t32 () (and @t24 @t12)) % 0.32/0.57 (define @t33 () (+ @t22 1)) % 0.32/0.57 (define @t34 () (>= @t2 @t1)) % 0.32/0.57 (define @t35 () (+ @t3 1)) % 0.32/0.57 (define @t36 () (>= 0 @t3)) % 0.32/0.57 (assume @p1 @t10) % 0.32/0.57 (assume @p2 true) % 0.32/0.57 (step @p3 :rule evaluate :args ((not true))) % 0.32/0.57 (step @p4 :rule quant-unused-vars :args ((= (forall @t11 true) true))) % 0.32/0.57 (step @p5 :rule bool-or-taut2 :args (false @t12 false false)) % 0.32/0.57 (step @p6 :rule cong :premises (@p5) :args ((forall @t11 @t14))) % 0.32/0.57 (step @p7 :rule trans :premises (@p6 @p4)) % 0.32/0.57 (step @p8 :rule aci_norm :args ((= (or false @t13 @t12) @t14))) % 0.32/0.57 (step @p9 :rule refl :args (1)) % 0.32/0.57 (step @p10 :rule arith_poly_norm :args ((= @t16 @t3))) % 0.32/0.57 (step @p11 :rule arith_poly_norm :args ((= @t18 @t16))) % 0.32/0.57 (step @p12 :rule trans :premises (@p11 @p10)) % 0.32/0.57 (step @p13 :rule cong :premises (@p12 @p9) :args (@t19)) % 0.32/0.57 (step @p14 :rule refl :args (@t13)) % 0.32/0.57 (step @p15 :rule eq-refl :args (@t17)) % 0.32/0.57 (step @p16 :rule cong :premises (@p15) :args (@t20)) % 0.32/0.57 (step @p17 :rule trans :premises (@p16 @p3)) % 0.32/0.57 (step @p18 :rule nary_cong :premises (@p17 @p14 @p13) :args (@t21)) % 0.32/0.57 (step @p19 :rule trans :premises (@p18 @p8)) % 0.32/0.57 (step @p20 :rule cong :premises (@p19) :args ((forall @t11 @t21))) % 0.32/0.57 (step @p21 :rule trans :premises (@p20 @p7)) % 0.32/0.57 (step @p22 :rule quant-var-elim-eq :args ((= (forall @t27 @t26) @t21))) % 0.32/0.57 (step @p23 :rule aci_norm :args ((= @t28 @t26))) % 0.32/0.57 (step @p24 :rule cong :premises (@p23) :args (@t29)) % 0.32/0.57 (step @p25 :rule trans :premises (@p24 @p22)) % 0.32/0.57 (step @p26 :rule cong :premises (@p25) :args (@t30)) % 0.32/0.57 (step @p27 :rule quant-merge-prenex :args ((= @t30 @t31))) % 0.32/0.57 (step @p28 :rule symm :premises (@p27)) % 0.32/0.57 (step @p29 :rule quant_var_reordering :args ((= (forall @t8 @t28) @t31))) % 0.32/0.57 (step @p30 :rule trans :premises (@p29 @p28 @p26)) % 0.32/0.57 (step @p31 :rule trans :premises (@p30 @p21)) % 0.32/0.57 (step @p32 :rule aci_norm :args ((= (or (or @t25 @t13) @t23) @t28))) % 0.32/0.57 (step @p33 :rule refl :args (@t23)) % 0.32/0.57 (step @p34 :rule bool-and-de-morgan :args (@t24 @t12 true)) % 0.32/0.57 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t32) @t23))) % 0.32/0.57 (step @p36 :rule trans :premises (@p35 @p32)) % 0.32/0.57 (step @p37 :rule bool-impl-elim :args (@t32 @t23)) % 0.32/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.32/0.57 (step @p39 :rule cong :premises (@p38) :args ((forall @t8 (=> @t32 @t23)))) % 0.32/0.57 (step @p40 :rule trans :premises (@p39 @p31)) % 0.32/0.57 (step @p41 :rule bool-double-not-elim :args (@t23)) % 0.32/0.57 (step @p42 :rule arith_poly_norm :args ((= (* -1 (- 1 @t33)) (* -1 (- @t2 @t1))))) % 0.32/0.57 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= (>= 1 @t33) @t34))) % 0.32/0.57 (step @p44 :rule arith-geq-tighten :args (@t22 1)) % 0.32/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.32/0.57 (step @p46 :rule symm :premises (@p45)) % 0.32/0.57 (step @p47 :rule cong :premises (@p46) :args ((not @t34))) % 0.32/0.57 (step @p48 :rule trans :premises (@p47 @p41)) % 0.32/0.57 (step @p49 :rule arith-elim-lt :args (@t2 @t1)) % 0.32/0.57 (step @p50 :rule trans :premises (@p49 @p48)) % 0.32/0.57 (step @p51 :rule bool-double-not-elim :args (@t12)) % 0.32/0.57 (step @p52 :rule arith_poly_norm :args ((= (* -1 (- 1 @t35)) (* -1 (- 0 @t3))))) % 0.32/0.57 (step @p53 :rule arith_poly_norm_rel :premises (@p52) :args ((= (>= 1 @t35) @t36))) % 0.32/0.57 (step @p54 :rule arith-geq-tighten :args (@t3 1)) % 0.32/0.57 (step @p55 :rule trans :premises (@p54 @p53)) % 0.32/0.57 (step @p56 :rule symm :premises (@p55)) % 0.32/0.57 (step @p57 :rule cong :premises (@p56) :args ((not @t36))) % 0.32/0.57 (step @p58 :rule trans :premises (@p57 @p51)) % 0.32/0.57 (step @p59 :rule arith-elim-lt :args (0 @t3)) % 0.32/0.57 (step @p60 :rule trans :premises (@p59 @p58)) % 0.32/0.57 (step @p61 :rule arith_poly_norm :args ((= (* 1 (- @t22 @t3)) (* 1 (- @t1 @t17))))) % 0.32/0.57 (step @p62 :rule arith_poly_norm_rel :premises (@p61) :args ((= (= @t22 @t3) @t24))) % 0.32/0.57 (step @p63 :rule refl :args (@t3)) % 0.32/0.57 (step @p64 :rule arith_poly_norm :args ((= @t4 @t22))) % 0.32/0.57 (step @p65 :rule cong :premises (@p64 @p63) :args (@t5)) % 0.32/0.57 (step @p66 :rule trans :premises (@p65 @p62)) % 0.32/0.57 (step @p67 :rule nary_cong :premises (@p66 @p60) :args (@t6)) % 0.32/0.57 (step @p68 :rule cong :premises (@p67 @p50) :args (@t7)) % 0.32/0.57 (step @p69 :rule cong :premises (@p68) :args (@t9)) % 0.32/0.57 (step @p70 :rule trans :premises (@p69 @p40)) % 0.32/0.57 (step @p71 :rule cong :premises (@p70) :args (@t10)) % 0.32/0.57 (step @p72 :rule trans :premises (@p71 @p3)) % 0.32/0.57 (step @p73 false :rule eq_resolve :premises (@p1 @p72)) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------