%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI718_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:08:11 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI718_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 02:32:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.32/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (define @t1 () (@var "X" Real)) % 0.32/0.57 (define @t2 () (/ 1 2)) % 0.32/0.57 (define @t3 () (+ @t1 @t2)) % 0.32/0.57 (define @t4 () (to_int @t3)) % 0.32/0.57 (define @t5 () (to_real @t4)) % 0.32/0.57 (define @t6 () (@list @t1)) % 0.32/0.57 (define @t7 () (exists @t6 (< @t5 @t1))) % 0.32/0.57 (define @t8 () (not @t7)) % 0.32/0.57 (define @t9 () (+ 1/2 @t1)) % 0.32/0.57 (define @t10 () (to_real (to_int @t9))) % 0.32/0.57 (define @t11 () (+ (* -1/1 @t1) @t10)) % 0.32/0.57 (define @t12 () (>= @t11 0/1)) % 0.32/0.57 (define @t13 () (forall @t6 @t12)) % 0.32/0.57 (define @t14 () (not @t12)) % 0.32/0.57 (define @t15 () (forall @t6 (not @t14))) % 0.32/0.57 (define @t16 () (not @t15)) % 0.32/0.57 (define @t17 () (>= @t5 @t1)) % 0.32/0.57 (define @t18 () (+ 1/2 1/8)) % 0.32/0.57 (define @t19 () (to_int @t18)) % 0.32/0.57 (define @t20 () (to_real @t19)) % 0.32/0.57 (define @t21 () (* -1/1 1/8)) % 0.32/0.57 (define @t22 () (+ @t21 @t20)) % 0.32/0.57 (define @t23 () (>= @t22 0/1)) % 0.32/0.57 (assume @p1 @t8) % 0.32/0.57 (assume @p2 true) % 0.32/0.57 (step @p3 :rule bool-double-not-elim :args (@t13)) % 0.32/0.57 (step @p4 :rule bool-double-not-elim :args (@t12)) % 0.32/0.57 (step @p5 :rule cong :premises (@p4) :args (@t15)) % 0.32/0.57 (step @p6 :rule cong :premises (@p5) :args (@t16)) % 0.32/0.57 (step @p7 :rule exists-elim :args ((= (exists @t6 @t14) @t16))) % 0.32/0.57 (step @p8 :rule trans :premises (@p7 @p6)) % 0.32/0.57 (step @p9 :rule arith_poly_norm :args ((= (* -1/1 (- @t10 @t1)) (* -1/1 (- @t11 0/1))))) % 0.32/0.57 (step @p10 :rule arith_poly_norm_rel :premises (@p9) :args ((= (>= @t10 @t1) @t12))) % 0.32/0.57 (step @p11 :rule refl :args (@t1)) % 0.32/0.57 (step @p12 :rule arith_poly_norm :args ((= (+ @t1 1/2) @t9))) % 0.32/0.57 (step @p13 :rule evaluate :args (@t2)) % 0.32/0.57 (step @p14 :rule nary_cong :premises (@p11 @p13) :args (@t3)) % 0.32/0.57 (step @p15 :rule trans :premises (@p14 @p12)) % 0.32/0.57 (step @p16 :rule cong :premises (@p15) :args (@t4)) % 0.32/0.57 (step @p17 :rule cong :premises (@p16) :args (@t5)) % 0.32/0.57 (step @p18 :rule cong :premises (@p17 @p11) :args (@t17)) % 0.32/0.57 (step @p19 :rule trans :premises (@p18 @p10)) % 0.32/0.57 (step @p20 :rule cong :premises (@p19) :args ((not @t17))) % 0.32/0.57 (step @p21 :rule arith-elim-lt :args (@t5 @t1)) % 0.32/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.32/0.57 (step @p23 :rule cong :premises (@p22) :args (@t7)) % 0.32/0.57 (step @p24 :rule trans :premises (@p23 @p8)) % 0.32/0.57 (step @p25 :rule cong :premises (@p24) :args (@t8)) % 0.32/0.57 (step @p26 :rule trans :premises (@p25 @p3)) % 0.32/0.57 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 0.32/0.57 (step @p28 :rule bool-impl-false1 :args (@t13)) % 0.32/0.57 (step @p29 :rule evaluate :args ((>= -1/8 0/1))) % 0.32/0.57 (step @p30 :rule refl :args (0/1)) % 0.32/0.57 (step @p31 :rule evaluate :args ((+ -1/8 0/1))) % 0.32/0.57 (step @p32 :rule evaluate :args ((to_real 0))) % 0.32/0.57 (step @p33 :rule evaluate :args ((to_int 5/8))) % 0.32/0.57 (step @p34 :rule evaluate :args (@t18)) % 0.32/0.57 (step @p35 :rule cong :premises (@p34) :args (@t19)) % 0.32/0.57 (step @p36 :rule trans :premises (@p35 @p33)) % 0.32/0.57 (step @p37 :rule cong :premises (@p36) :args (@t20)) % 0.32/0.57 (step @p38 :rule trans :premises (@p37 @p32)) % 0.32/0.57 (step @p39 :rule evaluate :args (@t21)) % 0.32/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t22)) % 0.32/0.57 (step @p41 :rule trans :premises (@p40 @p31)) % 0.32/0.57 (step @p42 :rule cong :premises (@p41 @p30) :args (@t23)) % 0.32/0.57 (step @p43 :rule trans :premises (@p42 @p29)) % 0.32/0.57 (step @p44 :rule refl :args (@t13)) % 0.32/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t13 @t23))) % 0.32/0.57 (step @p46 :rule trans :premises (@p45 @p28)) % 0.32/0.57 (assume-push @p53 @t13) % 0.32/0.57 (step @p48 :rule instantiate :premises (@p27) :args ((@list 1/8))) % 0.32/0.57 (step-pop @p54 :rule scope :premises (@p48)) % 0.32/0.57 (step @p49 :rule process_scope :premises (@p54) :args (@t23)) % 0.32/0.57 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.32/0.57 (step @p52 false :rule chain_m_resolution :premises (@p51 @p27) :args (false (@list false) (@list @t13))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------