%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI725_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:08:12 AM UTC 2026 % Result : Theorem 0.33s 0.58s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI725_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:32:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_ARI % 0.33/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.33/0.58 % SZS status Theorem % 0.33/0.58 % SZS output start Proof % 0.33/0.58 ( % 0.33/0.58 (define @t1 () (@var "X" Real)) % 0.33/0.58 (define @t2 () (to_int @t1)) % 0.33/0.58 (define @t3 () (* 2/1 (to_real @t2))) % 0.33/0.58 (define @t4 () (to_int (* 2/1 @t1))) % 0.33/0.58 (define @t5 () (to_real @t4)) % 0.33/0.58 (define @t6 () (@list @t1)) % 0.33/0.58 (define @t7 () (exists @t6 (> @t5 @t3))) % 0.33/0.58 (define @t8 () (not @t7)) % 0.33/0.58 (define @t9 () (* 2 @t2)) % 0.33/0.58 (define @t10 () (+ @t9 (* -1 @t4))) % 0.33/0.58 (define @t11 () (>= @t10 0)) % 0.33/0.58 (define @t12 () (forall @t6 @t11)) % 0.33/0.58 (define @t13 () (not @t11)) % 0.33/0.58 (define @t14 () (forall @t6 (not @t13))) % 0.33/0.58 (define @t15 () (not @t14)) % 0.33/0.58 (define @t16 () (to_real @t9)) % 0.33/0.58 (define @t17 () (<= @t5 @t3)) % 0.33/0.58 (define @t18 () (* 2/1 1/2)) % 0.33/0.58 (define @t19 () (to_int @t18)) % 0.33/0.58 (define @t20 () (* -1 @t19)) % 0.33/0.58 (define @t21 () (to_int 1/2)) % 0.33/0.58 (define @t22 () (* 2 @t21)) % 0.33/0.58 (define @t23 () (+ @t22 @t20)) % 0.33/0.58 (define @t24 () (>= @t23 0)) % 0.33/0.58 (assume @p1 @t8) % 0.33/0.58 (assume @p2 true) % 0.33/0.58 (step @p3 :rule bool-double-not-elim :args (@t12)) % 0.33/0.58 (step @p4 :rule bool-double-not-elim :args (@t11)) % 0.33/0.58 (step @p5 :rule cong :premises (@p4) :args (@t14)) % 0.33/0.58 (step @p6 :rule cong :premises (@p5) :args (@t15)) % 0.33/0.58 (step @p7 :rule exists-elim :args ((= (exists @t6 @t13) @t15))) % 0.33/0.58 (step @p8 :rule trans :premises (@p7 @p6)) % 0.33/0.58 (step @p9 :rule arith_poly_norm :args ((= (* -1/1 (- @t16 @t5)) (* -1/1 (to_real (- @t10 0)))))) % 0.33/0.58 (step @p10 :rule arith_poly_norm_rel :premises (@p9) :args ((= (>= @t16 @t5) @t11))) % 0.33/0.58 (step @p11 :rule arith-elim-leq :args (@t5 @t16)) % 0.33/0.58 (step @p12 :rule trans :premises (@p11 @p10)) % 0.33/0.58 (step @p13 :rule arith_poly_norm :args ((= @t3 @t16))) % 0.33/0.58 (step @p14 :rule refl :args (@t5)) % 0.33/0.58 (step @p15 :rule cong :premises (@p14 @p13) :args (@t17)) % 0.33/0.58 (step @p16 :rule trans :premises (@p15 @p12)) % 0.33/0.58 (step @p17 :rule cong :premises (@p16) :args ((not @t17))) % 0.33/0.58 (step @p18 :rule arith-elim-leq :args (@t5 @t3)) % 0.33/0.58 (step @p19 :rule symm :premises (@p18)) % 0.33/0.58 (step @p20 :rule cong :premises (@p19) :args ((not (>= @t3 @t5)))) % 0.33/0.58 (step @p21 :rule arith-elim-gt :args (@t5 @t3)) % 0.33/0.58 (step @p22 :rule trans :premises (@p21 @p20)) % 0.33/0.58 (step @p23 :rule trans :premises (@p22 @p17)) % 0.33/0.58 (step @p24 :rule cong :premises (@p23) :args (@t7)) % 0.33/0.58 (step @p25 :rule trans :premises (@p24 @p8)) % 0.33/0.58 (step @p26 :rule cong :premises (@p25) :args (@t8)) % 0.33/0.58 (step @p27 :rule trans :premises (@p26 @p3)) % 0.33/0.58 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 0.33/0.58 (step @p29 :rule bool-impl-false1 :args (@t12)) % 0.33/0.58 (step @p30 :rule evaluate :args ((>= -1 0))) % 0.33/0.58 (step @p31 :rule refl :args (0)) % 0.33/0.58 (step @p32 :rule evaluate :args ((+ 0 -1))) % 0.33/0.58 (step @p33 :rule evaluate :args ((* -1 1))) % 0.33/0.58 (step @p34 :rule evaluate :args ((to_int 1/1))) % 0.33/0.58 (step @p35 :rule evaluate :args (@t18)) % 0.33/0.58 (step @p36 :rule cong :premises (@p35) :args (@t19)) % 0.33/0.58 (step @p37 :rule trans :premises (@p36 @p34)) % 0.33/0.58 (step @p38 :rule refl :args (-1)) % 0.33/0.58 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t20)) % 0.33/0.58 (step @p40 :rule trans :premises (@p39 @p33)) % 0.33/0.58 (step @p41 :rule evaluate :args ((* 2 0))) % 0.33/0.58 (step @p42 :rule evaluate :args (@t21)) % 0.33/0.58 (step @p43 :rule refl :args (2)) % 0.33/0.58 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t22)) % 0.33/0.58 (step @p45 :rule trans :premises (@p44 @p41)) % 0.33/0.58 (step @p46 :rule nary_cong :premises (@p45 @p40) :args (@t23)) % 0.33/0.58 (step @p47 :rule trans :premises (@p46 @p32)) % 0.33/0.58 (step @p48 :rule cong :premises (@p47 @p31) :args (@t24)) % 0.33/0.58 (step @p49 :rule trans :premises (@p48 @p30)) % 0.33/0.58 (step @p50 :rule refl :args (@t12)) % 0.33/0.58 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t12 @t24))) % 0.33/0.58 (step @p52 :rule trans :premises (@p51 @p29)) % 0.33/0.58 (assume-push @p59 @t12) % 0.33/0.58 (step @p54 :rule instantiate :premises (@p28) :args ((@list 1/2))) % 0.33/0.58 (step-pop @p60 :rule scope :premises (@p54)) % 0.33/0.58 (step @p55 :rule process_scope :premises (@p60) :args (@t24)) % 0.33/0.58 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 0.33/0.58 (step @p58 false :rule chain_m_resolution :premises (@p57 @p28) :args (false (@list false) (@list @t12))) % 0.33/0.58 ) % 0.33/0.58 % SZS output end Proof % 0.33/0.58 % cvc5 exiting %------------------------------------------------------------------------------