%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI337_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 : n015.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 08:07:29 AM UTC 2026 % Result : Theorem 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI337_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 : n015.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 02:27:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.33/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (define @t1 () (@var "Y" Real)) % 0.33/0.56 (define @t2 () (@var "X" Real)) % 0.33/0.56 (define @t3 () (- @t2 @t1)) % 0.33/0.56 (define @t4 () (= @t3 0/1)) % 0.33/0.56 (define @t5 () (/ 36 5)) % 0.33/0.56 (define @t6 () (+ @t2 @t1)) % 0.33/0.56 (define @t7 () (= @t6 @t5)) % 0.33/0.56 (define @t8 () (and @t7 @t4)) % 0.33/0.56 (define @t9 () (@list @t2 @t1)) % 0.33/0.56 (define @t10 () (exists @t9 @t8)) % 0.33/0.56 (define @t11 () (not @t10)) % 0.33/0.56 (define @t12 () (= 18/5 18/5)) % 0.33/0.56 (define @t13 () (not @t12)) % 0.33/0.56 (define @t14 () (= @t1 18/5)) % 0.33/0.56 (define @t15 () (not @t14)) % 0.33/0.56 (define @t16 () (or @t15 @t15)) % 0.33/0.56 (define @t17 () (@list @t1)) % 0.33/0.56 (define @t18 () (* -1/1 @t1)) % 0.33/0.56 (define @t19 () (+ 36/5 @t18)) % 0.33/0.56 (define @t20 () (= @t19 @t1)) % 0.33/0.56 (define @t21 () (not @t20)) % 0.33/0.56 (define @t22 () (not (= @t19 @t19))) % 0.33/0.56 (define @t23 () (or @t22 @t21)) % 0.33/0.56 (define @t24 () (= @t2 @t1)) % 0.33/0.56 (define @t25 () (not @t24)) % 0.33/0.56 (define @t26 () (= @t2 @t19)) % 0.33/0.56 (define @t27 () (not @t26)) % 0.33/0.56 (define @t28 () (or @t27 @t27 @t25)) % 0.33/0.56 (define @t29 () (@list @t2)) % 0.33/0.56 (define @t30 () (or @t27 @t25)) % 0.33/0.56 (define @t31 () (forall @t29 @t30)) % 0.33/0.56 (define @t32 () (forall @t17 @t31)) % 0.33/0.56 (define @t33 () (forall (@list @t1 @t2) @t30)) % 0.33/0.56 (define @t34 () (and @t26 @t24)) % 0.33/0.56 (define @t35 () (forall @t9 (not @t34))) % 0.33/0.56 (define @t36 () (not @t35)) % 0.33/0.56 (define @t37 () (+ @t2 @t18)) % 0.33/0.56 (assume @p1 @t11) % 0.33/0.56 (assume @p2 true) % 0.33/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.33/0.56 (step @p4 :rule evaluate :args ((not false))) % 0.33/0.56 (step @p5 :rule evaluate :args (@t12)) % 0.33/0.56 (step @p6 :rule cong :premises (@p5) :args (@t13)) % 0.33/0.56 (step @p7 :rule trans :premises (@p6 @p3)) % 0.33/0.56 (step @p8 :rule quant-var-elim-eq :args ((= (forall @t17 @t16) @t13))) % 0.33/0.56 (step @p9 :rule aci_norm :args ((= @t15 @t16))) % 0.33/0.56 (step @p10 :rule cong :premises (@p9) :args ((forall @t17 @t15))) % 0.33/0.56 (step @p11 :rule trans :premises (@p10 @p8)) % 0.33/0.56 (step @p12 :rule trans :premises (@p11 @p7)) % 0.33/0.56 (step @p13 :rule aci_norm :args ((= (or false @t15) @t15))) % 0.33/0.56 (step @p14 :rule arith_poly_norm :args ((= (* -18/5 (- @t19 @t1)) (* 36/5 (- @t1 18/5))))) % 0.33/0.56 (step @p15 :rule arith_poly_norm_rel :premises (@p14) :args ((= @t20 @t14))) % 0.33/0.56 (step @p16 :rule cong :premises (@p15) :args (@t21)) % 0.33/0.56 (step @p17 :rule eq-refl :args (@t19)) % 0.33/0.56 (step @p18 :rule cong :premises (@p17) :args (@t22)) % 0.33/0.56 (step @p19 :rule trans :premises (@p18 @p3)) % 0.33/0.56 (step @p20 :rule nary_cong :premises (@p19 @p16) :args (@t23)) % 0.33/0.56 (step @p21 :rule trans :premises (@p20 @p13)) % 0.33/0.56 (step @p22 :rule cong :premises (@p21) :args ((forall @t17 @t23))) % 0.33/0.56 (step @p23 :rule trans :premises (@p22 @p12)) % 0.33/0.56 (step @p24 :rule quant-var-elim-eq :args ((= (forall @t29 @t28) @t23))) % 0.33/0.56 (step @p25 :rule aci_norm :args ((= @t30 @t28))) % 0.33/0.56 (step @p26 :rule cong :premises (@p25) :args (@t31)) % 0.33/0.56 (step @p27 :rule trans :premises (@p26 @p24)) % 0.33/0.56 (step @p28 :rule cong :premises (@p27) :args (@t32)) % 0.33/0.56 (step @p29 :rule quant-merge-prenex :args ((= @t32 @t33))) % 0.33/0.56 (step @p30 :rule symm :premises (@p29)) % 0.33/0.56 (step @p31 :rule quant_var_reordering :args ((= (forall @t9 @t30) @t33))) % 0.33/0.56 (step @p32 :rule trans :premises (@p31 @p30 @p28)) % 0.33/0.56 (step @p33 :rule trans :premises (@p32 @p23)) % 0.33/0.56 (step @p34 :rule bool-and-de-morgan :args (@t26 @t24 true)) % 0.33/0.56 (step @p35 :rule cong :premises (@p34) :args (@t35)) % 0.33/0.56 (step @p36 :rule trans :premises (@p35 @p33)) % 0.33/0.56 (step @p37 :rule cong :premises (@p36) :args (@t36)) % 0.33/0.56 (step @p38 :rule trans :premises (@p37 @p4)) % 0.33/0.56 (step @p39 :rule exists-elim :args ((= (exists @t9 @t34) @t36))) % 0.33/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.33/0.56 (step @p41 :rule arith_poly_norm :args ((= (* 1/1 (- @t37 0/1)) (* 1/1 @t3)))) % 0.33/0.56 (step @p42 :rule arith_poly_norm_rel :premises (@p41) :args ((= (= @t37 0/1) @t24))) % 0.33/0.56 (step @p43 :rule refl :args (0/1)) % 0.33/0.56 (step @p44 :rule arith_poly_norm :args ((= @t3 @t37))) % 0.33/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t4)) % 0.33/0.56 (step @p46 :rule trans :premises (@p45 @p42)) % 0.33/0.56 (step @p47 :rule arith_poly_norm :args ((= (* -36/5 (- @t6 36/5)) (* -36/5 (- @t2 @t19))))) % 0.33/0.56 (step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= (= @t6 36/5) @t26))) % 0.33/0.56 (step @p49 :rule evaluate :args (@t5)) % 0.33/0.56 (step @p50 :rule refl :args (@t6)) % 0.33/0.56 (step @p51 :rule cong :premises (@p50 @p49) :args (@t7)) % 0.33/0.56 (step @p52 :rule trans :premises (@p51 @p48)) % 0.33/0.56 (step @p53 :rule nary_cong :premises (@p52 @p46) :args (@t8)) % 0.33/0.56 (step @p54 :rule cong :premises (@p53) :args (@t10)) % 0.33/0.56 (step @p55 :rule trans :premises (@p54 @p40)) % 0.33/0.56 (step @p56 :rule cong :premises (@p55) :args (@t11)) % 0.33/0.56 (step @p57 :rule trans :premises (@p56 @p3)) % 0.33/0.56 (step @p58 false :rule eq_resolve :premises (@p1 @p57)) % 0.33/0.56 ) % 0.33/0.56 % SZS output end Proof % 0.33/0.56 % cvc5 exiting %------------------------------------------------------------------------------