%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI566_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 : n004.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 08:07:53 AM UTC 2026 % Result : Theorem 0.37s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI566_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 : n004.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 02:29:23 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_ARI % 0.37/0.55 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.55 % SZS status Theorem % 0.37/0.55 % SZS output start Proof % 0.37/0.55 ( % 0.37/0.55 (define @t1 () (@var "X" Real)) % 0.37/0.55 (define @t2 () (/ 1 2)) % 0.37/0.55 (define @t3 () (/ 21 50)) % 0.37/0.55 (define @t4 () (/ 3 4)) % 0.37/0.55 (define @t5 () (* @t1 @t4)) % 0.37/0.55 (define @t6 () (= @t5 @t3)) % 0.37/0.55 (define @t7 () (and @t6 (< @t2 @t1))) % 0.37/0.55 (define @t8 () (@list @t1)) % 0.37/0.55 (define @t9 () (exists @t8 @t7)) % 0.37/0.55 (define @t10 () (not @t9)) % 0.37/0.55 (define @t11 () (* -1/1 14/25)) % 0.37/0.55 (define @t12 () (>= @t11 -1/2)) % 0.37/0.55 (define @t13 () (= 14/25 14/25)) % 0.37/0.55 (define @t14 () (not @t13)) % 0.37/0.55 (define @t15 () (or @t14 @t12)) % 0.37/0.55 (define @t16 () (* -1/1 @t1)) % 0.37/0.55 (define @t17 () (>= @t16 -1/2)) % 0.37/0.55 (define @t18 () (= @t1 14/25)) % 0.37/0.55 (define @t19 () (not @t18)) % 0.37/0.55 (define @t20 () (or @t19 @t19 @t17)) % 0.37/0.55 (define @t21 () (or @t19 @t17)) % 0.37/0.55 (define @t22 () (not @t17)) % 0.37/0.55 (define @t23 () (and @t18 @t22)) % 0.37/0.55 (define @t24 () (forall @t8 (not @t23))) % 0.37/0.55 (define @t25 () (not @t24)) % 0.37/0.55 (define @t26 () (>= @t2 @t1)) % 0.37/0.55 (define @t27 () (* 3/4 @t1)) % 0.37/0.55 (assume @p1 @t10) % 0.37/0.55 (assume @p2 true) % 0.37/0.55 (step @p3 :rule evaluate :args ((not true))) % 0.37/0.55 (step @p4 :rule evaluate :args ((not false))) % 0.37/0.55 (step @p5 :rule evaluate :args ((or false false))) % 0.37/0.55 (step @p6 :rule evaluate :args ((>= -14/25 -1/2))) % 0.37/0.55 (step @p7 :rule refl :args (-1/2)) % 0.37/0.55 (step @p8 :rule evaluate :args (@t11)) % 0.37/0.55 (step @p9 :rule cong :premises (@p8 @p7) :args (@t12)) % 0.37/0.55 (step @p10 :rule trans :premises (@p9 @p6)) % 0.37/0.55 (step @p11 :rule evaluate :args (@t13)) % 0.37/0.55 (step @p12 :rule cong :premises (@p11) :args (@t14)) % 0.37/0.55 (step @p13 :rule trans :premises (@p12 @p3)) % 0.37/0.55 (step @p14 :rule nary_cong :premises (@p13 @p10) :args (@t15)) % 0.37/0.55 (step @p15 :rule trans :premises (@p14 @p5)) % 0.37/0.55 (step @p16 :rule quant-var-elim-eq :args ((= (forall @t8 @t20) @t15))) % 0.37/0.55 (step @p17 :rule aci_norm :args ((= @t21 @t20))) % 0.37/0.55 (step @p18 :rule cong :premises (@p17) :args ((forall @t8 @t21))) % 0.37/0.55 (step @p19 :rule trans :premises (@p18 @p16)) % 0.37/0.55 (step @p20 :rule trans :premises (@p19 @p15)) % 0.37/0.55 (step @p21 :rule bool-double-not-elim :args (@t17)) % 0.37/0.55 (step @p22 :rule refl :args (@t19)) % 0.37/0.55 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t19 (not @t22)))) % 0.37/0.55 (step @p24 :rule bool-and-de-morgan :args (@t18 @t22 true)) % 0.37/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args (@t24)) % 0.37/0.56 (step @p27 :rule trans :premises (@p26 @p20)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27) :args (@t25)) % 0.37/0.56 (step @p29 :rule trans :premises (@p28 @p4)) % 0.37/0.56 (step @p30 :rule exists-elim :args ((= (exists @t8 @t23) @t25))) % 0.37/0.56 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.56 (step @p32 :rule arith_poly_norm :args ((= (* 1/2 (- 1/2 @t1)) (* 1/2 (- @t16 -1/2))))) % 0.37/0.56 (step @p33 :rule arith_poly_norm_rel :premises (@p32) :args ((= (>= 1/2 @t1) @t17))) % 0.37/0.56 (step @p34 :rule refl :args (@t1)) % 0.37/0.56 (step @p35 :rule evaluate :args (@t2)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35 @p34) :args (@t26)) % 0.37/0.56 (step @p37 :rule trans :premises (@p36 @p33)) % 0.37/0.56 (step @p38 :rule cong :premises (@p37) :args ((not @t26))) % 0.37/0.56 (step @p39 :rule arith-elim-lt :args (@t2 @t1)) % 0.37/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.37/0.56 (step @p41 :rule arith_poly_norm :args ((= (* -14/25 (- @t27 21/50)) (* -21/50 (- @t1 14/25))))) % 0.37/0.56 (step @p42 :rule arith_poly_norm_rel :premises (@p41) :args ((= (= @t27 21/50) @t18))) % 0.37/0.56 (step @p43 :rule evaluate :args (@t3)) % 0.37/0.56 (step @p44 :rule arith_poly_norm :args ((= (* @t1 3/4) @t27))) % 0.37/0.56 (step @p45 :rule evaluate :args (@t4)) % 0.37/0.56 (step @p46 :rule nary_cong :premises (@p34 @p45) :args (@t5)) % 0.37/0.56 (step @p47 :rule trans :premises (@p46 @p44)) % 0.37/0.56 (step @p48 :rule cong :premises (@p47 @p43) :args (@t6)) % 0.37/0.56 (step @p49 :rule trans :premises (@p48 @p42)) % 0.37/0.56 (step @p50 :rule nary_cong :premises (@p49 @p40) :args (@t7)) % 0.37/0.56 (step @p51 :rule cong :premises (@p50) :args (@t9)) % 0.37/0.56 (step @p52 :rule trans :premises (@p51 @p31)) % 0.37/0.56 (step @p53 :rule cong :premises (@p52) :args (@t10)) % 0.37/0.56 (step @p54 :rule trans :premises (@p53 @p3)) % 0.37/0.56 (step @p55 false :rule eq_resolve :premises (@p1 @p54)) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------