%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI080_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:07:06 AM UTC 2026 % Result : Theorem 0.28s 0.56s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI080_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n013.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:25:15 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 0.28/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.28/0.56 % SZS status Theorem % 0.28/0.56 % SZS output start Proof % 0.28/0.56 ( % 0.28/0.56 (define @t1 () (@var "Y" Int)) % 0.28/0.56 (define @t2 () (= @t1 4)) % 0.28/0.56 (define @t3 () (@var "X" Int)) % 0.28/0.56 (define @t4 () (= @t3 4)) % 0.28/0.56 (define @t5 () (+ @t3 @t1)) % 0.28/0.56 (define @t6 () (= @t5 8)) % 0.28/0.56 (define @t7 () (and @t6 @t4 @t2)) % 0.28/0.56 (define @t8 () (@list @t3 @t1)) % 0.28/0.56 (define @t9 () (exists @t8 @t7)) % 0.28/0.56 (define @t10 () (not @t9)) % 0.28/0.56 (define @t11 () (= 4 4)) % 0.28/0.56 (define @t12 () (not @t11)) % 0.28/0.56 (define @t13 () (not @t2)) % 0.28/0.56 (define @t14 () (or @t13 @t13)) % 0.28/0.56 (define @t15 () (@list @t1)) % 0.28/0.56 (define @t16 () (+ 8 (* -1 @t1))) % 0.28/0.56 (define @t17 () (= @t16 4)) % 0.28/0.56 (define @t18 () (not @t17)) % 0.28/0.56 (define @t19 () (not (= @t16 @t16))) % 0.28/0.56 (define @t20 () (or @t19 @t18 @t13)) % 0.28/0.56 (define @t21 () (not @t4)) % 0.28/0.56 (define @t22 () (= @t3 @t16)) % 0.28/0.56 (define @t23 () (not @t22)) % 0.28/0.56 (define @t24 () (or @t23 @t23 @t21 @t13)) % 0.28/0.56 (define @t25 () (@list @t3)) % 0.28/0.56 (define @t26 () (or @t23 @t21 @t13)) % 0.28/0.56 (define @t27 () (forall @t25 @t26)) % 0.28/0.56 (define @t28 () (forall @t15 @t27)) % 0.28/0.56 (define @t29 () (forall (@list @t1 @t3) @t26)) % 0.28/0.56 (define @t30 () (and @t22 @t4 @t2)) % 0.28/0.56 (define @t31 () (forall @t8 (not @t30))) % 0.28/0.56 (define @t32 () (not @t31)) % 0.28/0.56 (assume @p1 @t10) % 0.28/0.56 (assume @p2 true) % 0.28/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.28/0.56 (step @p4 :rule evaluate :args ((not false))) % 0.28/0.56 (step @p5 :rule evaluate :args (@t11)) % 0.28/0.56 (step @p6 :rule cong :premises (@p5) :args (@t12)) % 0.28/0.56 (step @p7 :rule trans :premises (@p6 @p3)) % 0.28/0.56 (step @p8 :rule quant-var-elim-eq :args ((= (forall @t15 @t14) @t12))) % 0.28/0.56 (step @p9 :rule aci_norm :args ((= @t13 @t14))) % 0.28/0.56 (step @p10 :rule cong :premises (@p9) :args ((forall @t15 @t13))) % 0.28/0.56 (step @p11 :rule trans :premises (@p10 @p8)) % 0.28/0.56 (step @p12 :rule trans :premises (@p11 @p7)) % 0.28/0.56 (step @p13 :rule aci_norm :args ((= (or false @t13 @t13) @t13))) % 0.28/0.56 (step @p14 :rule refl :args (@t13)) % 0.28/0.56 (step @p15 :rule arith_poly_norm :args ((= (* -4 (- @t16 4)) (* 4 (- @t1 4))))) % 0.28/0.56 (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= @t17 @t2))) % 0.28/0.56 (step @p17 :rule cong :premises (@p16) :args (@t18)) % 0.28/0.56 (step @p18 :rule eq-refl :args (@t16)) % 0.28/0.56 (step @p19 :rule cong :premises (@p18) :args (@t19)) % 0.28/0.56 (step @p20 :rule trans :premises (@p19 @p3)) % 0.28/0.56 (step @p21 :rule nary_cong :premises (@p20 @p17 @p14) :args (@t20)) % 0.28/0.56 (step @p22 :rule trans :premises (@p21 @p13)) % 0.28/0.56 (step @p23 :rule cong :premises (@p22) :args ((forall @t15 @t20))) % 0.28/0.56 (step @p24 :rule trans :premises (@p23 @p12)) % 0.28/0.56 (step @p25 :rule quant-var-elim-eq :args ((= (forall @t25 @t24) @t20))) % 0.28/0.56 (step @p26 :rule aci_norm :args ((= @t26 @t24))) % 0.28/0.56 (step @p27 :rule cong :premises (@p26) :args (@t27)) % 0.28/0.56 (step @p28 :rule trans :premises (@p27 @p25)) % 0.28/0.56 (step @p29 :rule cong :premises (@p28) :args (@t28)) % 0.28/0.56 (step @p30 :rule quant-merge-prenex :args ((= @t28 @t29))) % 0.28/0.56 (step @p31 :rule symm :premises (@p30)) % 0.28/0.56 (step @p32 :rule quant_var_reordering :args ((= (forall @t8 @t26) @t29))) % 0.28/0.56 (step @p33 :rule trans :premises (@p32 @p31 @p29)) % 0.28/0.56 (step @p34 :rule trans :premises (@p33 @p24)) % 0.28/0.56 (step @p35 :rule aci_norm :args ((= (or @t23 (or @t21 @t13)) @t26))) % 0.28/0.56 (step @p36 :rule bool-and-de-morgan :args (@t4 @t2 true)) % 0.28/0.56 (step @p37 :rule refl :args (@t23)) % 0.28/0.56 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t23 (not (and @t4 @t2))))) % 0.28/0.56 (step @p39 :rule bool-and-de-morgan :args (@t22 @t4 (and @t2))) % 0.28/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.28/0.56 (step @p41 :rule trans :premises (@p40 @p35)) % 0.28/0.56 (step @p42 :rule cong :premises (@p41) :args (@t31)) % 0.28/0.56 (step @p43 :rule trans :premises (@p42 @p34)) % 0.28/0.56 (step @p44 :rule cong :premises (@p43) :args (@t32)) % 0.28/0.56 (step @p45 :rule trans :premises (@p44 @p4)) % 0.28/0.56 (step @p46 :rule exists-elim :args ((= (exists @t8 @t30) @t32))) % 0.28/0.56 (step @p47 :rule trans :premises (@p46 @p45)) % 0.28/0.56 (step @p48 :rule refl :args (@t2)) % 0.28/0.56 (step @p49 :rule refl :args (@t4)) % 0.28/0.56 (step @p50 :rule arith_poly_norm :args ((= (* -8 (- @t5 8)) (* -8 (- @t3 @t16))))) % 0.28/0.56 (step @p51 :rule arith_poly_norm_rel :premises (@p50) :args ((= @t6 @t22))) % 0.28/0.56 (step @p52 :rule nary_cong :premises (@p51 @p49 @p48) :args (@t7)) % 0.28/0.56 (step @p53 :rule cong :premises (@p52) :args (@t9)) % 0.28/0.56 (step @p54 :rule trans :premises (@p53 @p47)) % 0.28/0.56 (step @p55 :rule cong :premises (@p54) :args (@t10)) % 0.28/0.56 (step @p56 :rule trans :premises (@p55 @p3)) % 0.28/0.56 (step @p57 false :rule eq_resolve :premises (@p1 @p56)) % 0.28/0.56 ) % 0.28/0.56 % SZS output end Proof % 0.28/0.56 % cvc5 exiting %------------------------------------------------------------------------------