%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI501_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 : n010.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 08:07:45 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 % 0.12/0.13 % Problem : ARI501_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 % 0.17/0.35 % Computer : n010.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 : Wed Jun 3 02:28:55 EDT 2026 % 0.17/0.35 % 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 (define @t1 () (@var "R" Int)) % 0.31/0.56 (define @t2 () (to_real @t1)) % 0.31/0.56 (define @t3 () (to_real 11)) % 0.31/0.56 (define @t4 () (* @t3 @t2)) % 0.31/0.56 (define @t5 () (@var "Q" Int)) % 0.31/0.56 (define @t6 () (to_real @t5)) % 0.31/0.56 (define @t7 () (= @t6 @t4)) % 0.31/0.56 (define @t8 () (= @t1 0)) % 0.31/0.56 (define @t9 () (not @t8)) % 0.31/0.56 (define @t10 () (and @t9 @t7)) % 0.31/0.56 (define @t11 () (@list @t5 @t1)) % 0.31/0.56 (define @t12 () (exists @t11 @t10)) % 0.31/0.56 (define @t13 () (not @t12)) % 0.31/0.56 (define @t14 () (@list @t1)) % 0.31/0.56 (define @t15 () (+ (* -1 0) -1)) % 0.31/0.56 (define @t16 () (* 11 @t1)) % 0.31/0.56 (define @t17 () (not (= @t16 @t16))) % 0.31/0.56 (define @t18 () (or @t8 @t17)) % 0.31/0.56 (define @t19 () (= @t5 @t16)) % 0.31/0.56 (define @t20 () (not @t19)) % 0.31/0.56 (define @t21 () (or @t20 @t8 @t20)) % 0.31/0.56 (define @t22 () (@list @t5)) % 0.31/0.56 (define @t23 () (or @t8 @t20)) % 0.31/0.56 (define @t24 () (forall @t22 @t23)) % 0.31/0.56 (define @t25 () (forall @t14 @t24)) % 0.31/0.56 (define @t26 () (forall (@list @t1 @t5) @t23)) % 0.31/0.56 (define @t27 () (and @t9 @t19)) % 0.31/0.56 (define @t28 () (forall @t11 (not @t27))) % 0.31/0.56 (define @t29 () (not @t28)) % 0.31/0.56 (define @t30 () (to_real @t16)) % 0.31/0.56 (assume @p1 @t13) % 0.31/0.56 (assume @p2 true) % 0.31/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.31/0.56 (step @p4 :rule evaluate :args ((not false))) % 0.31/0.56 (assume-push @p59 (forall @t14 @t8)) % 0.31/0.56 (step @p6 :rule evaluate :args ((= @t15 0))) % 0.31/0.56 (step @p7 :rule instantiate :premises (@p59) :args ((@list @t15))) % 0.31/0.56 (step @p8 false :rule eq_resolve :premises (@p7 @p6)) % 0.31/0.56 (step-pop @p60 :rule scope :premises (@p8)) % 0.31/0.56 (step @p9 :rule process_scope :premises (@p60) :args (false)) % 0.31/0.56 (step @p11 :rule false_intro :premises (@p9)) % 0.31/0.56 (step @p12 :rule aci_norm :args ((= (or @t8 false) @t8))) % 0.31/0.56 (step @p13 :rule eq-refl :args (@t16)) % 0.31/0.56 (step @p14 :rule cong :premises (@p13) :args (@t17)) % 0.31/0.56 (step @p15 :rule trans :premises (@p14 @p3)) % 0.31/0.56 (step @p16 :rule refl :args (@t8)) % 0.31/0.56 (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t18)) % 0.31/0.56 (step @p18 :rule trans :premises (@p17 @p12)) % 0.31/0.56 (step @p19 :rule cong :premises (@p18) :args ((forall @t14 @t18))) % 0.31/0.56 (step @p20 :rule trans :premises (@p19 @p11)) % 0.31/0.56 (step @p21 :rule quant-var-elim-eq :args ((= (forall @t22 @t21) @t18))) % 0.31/0.56 (step @p22 :rule aci_norm :args ((= @t23 @t21))) % 0.31/0.56 (step @p23 :rule cong :premises (@p22) :args (@t24)) % 0.31/0.56 (step @p24 :rule trans :premises (@p23 @p21)) % 0.31/0.56 (step @p25 :rule cong :premises (@p24) :args (@t25)) % 0.31/0.56 (step @p26 :rule quant-merge-prenex :args ((= @t25 @t26))) % 0.31/0.56 (step @p27 :rule symm :premises (@p26)) % 0.31/0.56 (step @p28 :rule quant_var_reordering :args ((= (forall @t11 @t23) @t26))) % 0.31/0.56 (step @p29 :rule trans :premises (@p28 @p27 @p25)) % 0.31/0.56 (step @p30 :rule trans :premises (@p29 @p20)) % 0.31/0.56 (step @p31 :rule refl :args (@t20)) % 0.31/0.56 (step @p32 :rule bool-double-not-elim :args (@t8)) % 0.31/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t9) @t20))) % 0.31/0.56 (step @p34 :rule bool-and-de-morgan :args (@t9 @t19 true)) % 0.31/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.31/0.56 (step @p36 :rule cong :premises (@p35) :args (@t28)) % 0.31/0.56 (step @p37 :rule trans :premises (@p36 @p30)) % 0.31/0.56 (step @p38 :rule cong :premises (@p37) :args (@t29)) % 0.31/0.56 (step @p39 :rule trans :premises (@p38 @p4)) % 0.31/0.56 (step @p40 :rule exists-elim :args ((= (exists @t11 @t27) @t29))) % 0.31/0.56 (step @p41 :rule trans :premises (@p40 @p39)) % 0.31/0.56 (step @p42 :rule arith_poly_norm :args ((= (* 1/1 (- @t6 @t30)) (* 1/1 (to_real (- @t5 @t16)))))) % 0.31/0.56 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= (= @t6 @t30) @t19))) % 0.31/0.56 (step @p44 :rule arith_poly_norm :args ((= (* 11/1 @t2) @t30))) % 0.31/0.56 (step @p45 :rule refl :args (@t2)) % 0.31/0.56 (step @p46 :rule evaluate :args (@t3)) % 0.31/0.56 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t4)) % 0.31/0.56 (step @p48 :rule trans :premises (@p47 @p44)) % 0.31/0.56 (step @p49 :rule refl :args (@t6)) % 0.31/0.56 (step @p50 :rule cong :premises (@p49 @p48) :args (@t7)) % 0.31/0.56 (step @p51 :rule trans :premises (@p50 @p43)) % 0.31/0.56 (step @p52 :rule refl :args (@t9)) % 0.31/0.56 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t10)) % 0.31/0.56 (step @p54 :rule cong :premises (@p53) :args (@t12)) % 0.31/0.56 (step @p55 :rule trans :premises (@p54 @p41)) % 0.31/0.56 (step @p56 :rule cong :premises (@p55) :args (@t13)) % 0.31/0.56 (step @p57 :rule trans :premises (@p56 @p3)) % 0.31/0.56 (step @p58 false :rule eq_resolve :premises (@p1 @p57)) % 0.31/0.56 ) % 0.31/0.56 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------