%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI162_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 : n012.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 08:07:12 AM UTC 2026 % Result : Theorem 0.17s 0.37s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : ARI162_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n012.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Wed Jun 3 02:26:03 EDT 2026 % 0.08/0.26 % CPUTime : % 0.17/0.34 %----Proving TF0_ARI % 0.17/0.37 --- Run --finite-model-find --decision=internal at 45... % 0.17/0.37 % SZS status Theorem % 0.17/0.37 % SZS output start Proof % 0.17/0.37 ( % 0.17/0.37 (define @t1 () (@var "Y" Int)) % 0.17/0.37 (define @t2 () (@var "X" Int)) % 0.17/0.37 (define @t3 () (- @t2 @t1)) % 0.17/0.37 (define @t4 () (= @t3 0)) % 0.17/0.37 (define @t5 () (+ @t2 @t1)) % 0.17/0.37 (define @t6 () (= @t5 8)) % 0.17/0.37 (define @t7 () (and @t6 @t4)) % 0.17/0.37 (define @t8 () (@list @t2 @t1)) % 0.17/0.37 (define @t9 () (exists @t8 @t7)) % 0.17/0.37 (define @t10 () (not @t9)) % 0.17/0.37 (define @t11 () (= 4 4)) % 0.17/0.37 (define @t12 () (not @t11)) % 0.17/0.37 (define @t13 () (= @t1 4)) % 0.17/0.37 (define @t14 () (not @t13)) % 0.17/0.37 (define @t15 () (or @t14 @t14)) % 0.17/0.37 (define @t16 () (@list @t1)) % 0.17/0.37 (define @t17 () (* -1 @t1)) % 0.17/0.37 (define @t18 () (+ 8 @t17)) % 0.17/0.37 (define @t19 () (= @t18 @t1)) % 0.17/0.37 (define @t20 () (not @t19)) % 0.17/0.37 (define @t21 () (not (= @t18 @t18))) % 0.17/0.37 (define @t22 () (or @t21 @t20)) % 0.17/0.37 (define @t23 () (= @t2 @t1)) % 0.17/0.37 (define @t24 () (not @t23)) % 0.17/0.37 (define @t25 () (= @t2 @t18)) % 0.17/0.37 (define @t26 () (not @t25)) % 0.17/0.37 (define @t27 () (or @t26 @t26 @t24)) % 0.17/0.37 (define @t28 () (@list @t2)) % 0.17/0.37 (define @t29 () (or @t26 @t24)) % 0.17/0.37 (define @t30 () (forall @t28 @t29)) % 0.17/0.37 (define @t31 () (forall @t16 @t30)) % 0.17/0.37 (define @t32 () (forall (@list @t1 @t2) @t29)) % 0.17/0.37 (define @t33 () (and @t25 @t23)) % 0.17/0.37 (define @t34 () (forall @t8 (not @t33))) % 0.17/0.37 (define @t35 () (not @t34)) % 0.17/0.37 (define @t36 () (+ @t2 @t17)) % 0.17/0.37 (assume @p1 @t10) % 0.17/0.37 (assume @p2 true) % 0.17/0.37 (step @p3 :rule evaluate :args ((not true))) % 0.17/0.37 (step @p4 :rule evaluate :args ((not false))) % 0.17/0.37 (step @p5 :rule evaluate :args (@t11)) % 0.17/0.37 (step @p6 :rule cong :premises (@p5) :args (@t12)) % 0.17/0.37 (step @p7 :rule trans :premises (@p6 @p3)) % 0.17/0.37 (step @p8 :rule quant-var-elim-eq :args ((= (forall @t16 @t15) @t12))) % 0.17/0.37 (step @p9 :rule aci_norm :args ((= @t14 @t15))) % 0.17/0.37 (step @p10 :rule cong :premises (@p9) :args ((forall @t16 @t14))) % 0.17/0.37 (step @p11 :rule trans :premises (@p10 @p8)) % 0.17/0.37 (step @p12 :rule trans :premises (@p11 @p7)) % 0.17/0.37 (step @p13 :rule aci_norm :args ((= (or false @t14) @t14))) % 0.17/0.37 (step @p14 :rule arith_poly_norm :args ((= (* -4 (- @t18 @t1)) (* 8 (- @t1 4))))) % 0.17/0.37 (step @p15 :rule arith_poly_norm_rel :premises (@p14) :args ((= @t19 @t13))) % 0.17/0.37 (step @p16 :rule cong :premises (@p15) :args (@t20)) % 0.17/0.37 (step @p17 :rule eq-refl :args (@t18)) % 0.17/0.37 (step @p18 :rule cong :premises (@p17) :args (@t21)) % 0.17/0.37 (step @p19 :rule trans :premises (@p18 @p3)) % 0.17/0.37 (step @p20 :rule nary_cong :premises (@p19 @p16) :args (@t22)) % 0.17/0.37 (step @p21 :rule trans :premises (@p20 @p13)) % 0.17/0.37 (step @p22 :rule cong :premises (@p21) :args ((forall @t16 @t22))) % 0.17/0.37 (step @p23 :rule trans :premises (@p22 @p12)) % 0.17/0.37 (step @p24 :rule quant-var-elim-eq :args ((= (forall @t28 @t27) @t22))) % 0.17/0.37 (step @p25 :rule aci_norm :args ((= @t29 @t27))) % 0.17/0.37 (step @p26 :rule cong :premises (@p25) :args (@t30)) % 0.17/0.37 (step @p27 :rule trans :premises (@p26 @p24)) % 0.17/0.37 (step @p28 :rule cong :premises (@p27) :args (@t31)) % 0.17/0.37 (step @p29 :rule quant-merge-prenex :args ((= @t31 @t32))) % 0.17/0.37 (step @p30 :rule symm :premises (@p29)) % 0.17/0.37 (step @p31 :rule quant_var_reordering :args ((= (forall @t8 @t29) @t32))) % 0.17/0.37 (step @p32 :rule trans :premises (@p31 @p30 @p28)) % 0.17/0.37 (step @p33 :rule trans :premises (@p32 @p23)) % 0.17/0.37 (step @p34 :rule bool-and-de-morgan :args (@t25 @t23 true)) % 0.17/0.37 (step @p35 :rule cong :premises (@p34) :args (@t34)) % 0.17/0.37 (step @p36 :rule trans :premises (@p35 @p33)) % 0.17/0.37 (step @p37 :rule cong :premises (@p36) :args (@t35)) % 0.17/0.37 (step @p38 :rule trans :premises (@p37 @p4)) % 0.17/0.37 (step @p39 :rule exists-elim :args ((= (exists @t8 @t33) @t35))) % 0.17/0.37 (step @p40 :rule trans :premises (@p39 @p38)) % 0.17/0.37 (step @p41 :rule arith_poly_norm :args ((= (* 1 (- @t36 0)) (* 1 @t3)))) % 0.17/0.37 (step @p42 :rule arith_poly_norm_rel :premises (@p41) :args ((= (= @t36 0) @t23))) % 0.17/0.37 (step @p43 :rule refl :args (0)) % 0.17/0.37 (step @p44 :rule arith_poly_norm :args ((= @t3 @t36))) % 0.17/0.37 (step @p45 :rule cong :premises (@p44 @p43) :args (@t4)) % 0.17/0.37 (step @p46 :rule trans :premises (@p45 @p42)) % 0.17/0.37 (step @p47 :rule arith_poly_norm :args ((= (* -8 (- @t5 8)) (* -8 (- @t2 @t18))))) % 0.17/0.37 (step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= @t6 @t25))) % 0.17/0.37 (step @p49 :rule nary_cong :premises (@p48 @p46) :args (@t7)) % 0.17/0.37 (step @p50 :rule cong :premises (@p49) :args (@t9)) % 0.17/0.37 (step @p51 :rule trans :premises (@p50 @p40)) % 0.17/0.37 (step @p52 :rule cong :premises (@p51) :args (@t10)) % 0.17/0.37 (step @p53 :rule trans :premises (@p52 @p3)) % 0.17/0.37 (step @p54 false :rule eq_resolve :premises (@p1 @p53)) % 0.17/0.37 ) % 0.17/0.37 % SZS output end Proof % 0.17/0.37 % cvc5 exiting %------------------------------------------------------------------------------