%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI119_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 : n014.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 08:07:10 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI119_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:26:13 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.30/0.54 --- Run --finite-model-find --decision=internal at 45... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (define @t1 () (@var "Y" Int)) % 0.30/0.54 (define @t2 () (= @t1 4)) % 0.30/0.54 (define @t3 () (@var "X" Int)) % 0.30/0.54 (define @t4 () (= @t3 4)) % 0.30/0.54 (define @t5 () (* @t3 @t1)) % 0.30/0.54 (define @t6 () (= @t5 16)) % 0.30/0.54 (define @t7 () (and @t6 @t4 @t2)) % 0.30/0.54 (define @t8 () (@list @t3 @t1)) % 0.30/0.54 (define @t9 () (exists @t8 @t7)) % 0.30/0.54 (define @t10 () (not @t9)) % 0.30/0.54 (define @t11 () (= 4 4)) % 0.30/0.54 (define @t12 () (not @t11)) % 0.30/0.54 (define @t13 () (not @t2)) % 0.30/0.54 (define @t14 () (or @t13 @t13)) % 0.30/0.54 (define @t15 () (@list @t1)) % 0.30/0.54 (define @t16 () (* 4 @t1)) % 0.30/0.54 (define @t17 () (* 4 @t1)) % 0.30/0.54 (define @t18 () (= @t17 16)) % 0.30/0.54 (define @t19 () (not @t18)) % 0.30/0.54 (define @t20 () (or @t19 @t12 @t13)) % 0.30/0.54 (define @t21 () (not @t4)) % 0.30/0.54 (define @t22 () (* @t3 @t1)) % 0.30/0.54 (define @t23 () (= @t22 16)) % 0.30/0.54 (define @t24 () (not @t23)) % 0.30/0.54 (define @t25 () (or @t21 @t24 @t21 @t13)) % 0.30/0.54 (define @t26 () (@list @t3)) % 0.30/0.54 (define @t27 () (or @t24 @t21 @t13)) % 0.30/0.54 (define @t28 () (forall @t26 @t27)) % 0.30/0.54 (define @t29 () (forall @t15 @t28)) % 0.30/0.54 (define @t30 () (forall (@list @t1 @t3) @t27)) % 0.30/0.54 (define @t31 () (and @t23 @t4 @t2)) % 0.30/0.54 (define @t32 () (forall @t8 (not @t31))) % 0.30/0.54 (define @t33 () (not @t32)) % 0.30/0.54 (assume @p1 @t10) % 0.30/0.54 (assume @p2 true) % 0.30/0.54 (step @p3 :rule evaluate :args ((not true))) % 0.30/0.54 (step @p4 :rule evaluate :args ((not false))) % 0.30/0.54 (step @p5 :rule evaluate :args (@t11)) % 0.30/0.54 (step @p6 :rule cong :premises (@p5) :args (@t12)) % 0.30/0.54 (step @p7 :rule trans :premises (@p6 @p3)) % 0.30/0.54 (step @p8 :rule quant-var-elim-eq :args ((= (forall @t15 @t14) @t12))) % 0.30/0.54 (step @p9 :rule aci_norm :args ((= @t13 @t14))) % 0.30/0.54 (step @p10 :rule cong :premises (@p9) :args ((forall @t15 @t13))) % 0.30/0.54 (step @p11 :rule trans :premises (@p10 @p8)) % 0.30/0.54 (step @p12 :rule trans :premises (@p11 @p7)) % 0.30/0.54 (step @p13 :rule aci_norm :args ((= (or @t13 false @t13) @t13))) % 0.30/0.54 (step @p14 :rule refl :args (@t13)) % 0.30/0.54 (step @p15 :rule arith_poly_norm :args ((= (* -4 (- @t16 16)) (* -16 (- @t1 4))))) % 0.30/0.54 (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= (= @t16 16) @t2))) % 0.30/0.54 (step @p17 :rule refl :args (16)) % 0.30/0.54 (step @p18 :rule arith_poly_norm :args ((= @t17 @t16))) % 0.30/0.54 (step @p19 :rule cong :premises (@p18 @p17) :args (@t18)) % 0.30/0.54 (step @p20 :rule trans :premises (@p19 @p16)) % 0.30/0.54 (step @p21 :rule cong :premises (@p20) :args (@t19)) % 0.30/0.54 (step @p22 :rule nary_cong :premises (@p21 @p7 @p14) :args (@t20)) % 0.30/0.54 (step @p23 :rule trans :premises (@p22 @p13)) % 0.30/0.54 (step @p24 :rule cong :premises (@p23) :args ((forall @t15 @t20))) % 0.30/0.54 (step @p25 :rule trans :premises (@p24 @p12)) % 0.30/0.54 (step @p26 :rule quant-var-elim-eq :args ((= (forall @t26 @t25) @t20))) % 0.30/0.54 (step @p27 :rule aci_norm :args ((= @t27 @t25))) % 0.30/0.54 (step @p28 :rule cong :premises (@p27) :args (@t28)) % 0.30/0.54 (step @p29 :rule trans :premises (@p28 @p26)) % 0.30/0.54 (step @p30 :rule cong :premises (@p29) :args (@t29)) % 0.30/0.54 (step @p31 :rule quant-merge-prenex :args ((= @t29 @t30))) % 0.30/0.54 (step @p32 :rule symm :premises (@p31)) % 0.30/0.54 (step @p33 :rule quant_var_reordering :args ((= (forall @t8 @t27) @t30))) % 0.30/0.54 (step @p34 :rule trans :premises (@p33 @p32 @p30)) % 0.30/0.54 (step @p35 :rule trans :premises (@p34 @p25)) % 0.30/0.54 (step @p36 :rule aci_norm :args ((= (or @t24 (or @t21 @t13)) @t27))) % 0.30/0.54 (step @p37 :rule bool-and-de-morgan :args (@t4 @t2 true)) % 0.30/0.54 (step @p38 :rule refl :args (@t24)) % 0.30/0.54 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t24 (not (and @t4 @t2))))) % 0.30/0.54 (step @p40 :rule bool-and-de-morgan :args (@t23 @t4 (and @t2))) % 0.30/0.54 (step @p41 :rule trans :premises (@p40 @p39)) % 0.30/0.54 (step @p42 :rule trans :premises (@p41 @p36)) % 0.30/0.54 (step @p43 :rule cong :premises (@p42) :args (@t32)) % 0.30/0.54 (step @p44 :rule trans :premises (@p43 @p35)) % 0.30/0.54 (step @p45 :rule cong :premises (@p44) :args (@t33)) % 0.30/0.54 (step @p46 :rule trans :premises (@p45 @p4)) % 0.30/0.54 (step @p47 :rule exists-elim :args ((= (exists @t8 @t31) @t33))) % 0.30/0.54 (step @p48 :rule trans :premises (@p47 @p46)) % 0.30/0.54 (step @p49 :rule refl :args (@t2)) % 0.30/0.54 (step @p50 :rule refl :args (@t4)) % 0.30/0.54 (step @p51 :rule arith_poly_norm :args ((= @t5 @t22))) % 0.30/0.54 (step @p52 :rule cong :premises (@p51 @p17) :args (@t6)) % 0.30/0.54 (step @p53 :rule nary_cong :premises (@p52 @p50 @p49) :args (@t7)) % 0.30/0.54 (step @p54 :rule cong :premises (@p53) :args (@t9)) % 0.30/0.54 (step @p55 :rule trans :premises (@p54 @p48)) % 0.30/0.54 (step @p56 :rule cong :premises (@p55) :args (@t10)) % 0.30/0.54 (step @p57 :rule trans :premises (@p56 @p3)) % 0.30/0.54 (step @p58 false :rule eq_resolve :premises (@p1 @p57)) % 0.30/0.54 ) % 0.30/0.54 % SZS output end Proof % 0.30/0.54 % cvc5 exiting %------------------------------------------------------------------------------