%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI579_2 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:07:54 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : ARI579_2 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:30:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_ARI % 0.36/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (define @t1 () (@var "Y" Real)) % 0.36/0.57 (define @t2 () (@var "X" Real)) % 0.36/0.57 (define @t3 () (+ (* 3/1 @t2) (* 4/1 @t1))) % 0.36/0.57 (define @t4 () (and (< 0/1 @t2) (< 0/1 @t1) (< @t3 6/1))) % 0.36/0.57 (define @t5 () (@list @t2 @t1)) % 0.36/0.57 (define @t6 () (exists @t5 @t4)) % 0.36/0.57 (define @t7 () (not @t6)) % 0.36/0.57 (define @t8 () (+ @t2 (* 4/3 @t1))) % 0.36/0.57 (define @t9 () (>= @t8 2/1)) % 0.36/0.57 (define @t10 () (* -1/1 @t1)) % 0.36/0.57 (define @t11 () (>= @t10 0/1)) % 0.36/0.57 (define @t12 () (* -1/1 @t2)) % 0.36/0.57 (define @t13 () (>= @t12 0/1)) % 0.36/0.57 (define @t14 () (forall @t5 (or @t13 @t11 @t9))) % 0.36/0.57 (define @t15 () (not @t9)) % 0.36/0.57 (define @t16 () (not @t15)) % 0.36/0.57 (define @t17 () (not @t11)) % 0.36/0.57 (define @t18 () (not @t17)) % 0.36/0.57 (define @t19 () (not @t13)) % 0.36/0.57 (define @t20 () (not @t19)) % 0.36/0.57 (define @t21 () (or @t20 @t18 @t16)) % 0.36/0.57 (define @t22 () (and @t19 @t17 @t15)) % 0.36/0.57 (define @t23 () (forall @t5 (not @t22))) % 0.36/0.57 (define @t24 () (not @t23)) % 0.36/0.57 (define @t25 () (>= @t3 6/1)) % 0.36/0.57 (define @t26 () (>= 0/1 @t1)) % 0.36/0.57 (define @t27 () (>= 0/1 @t2)) % 0.36/0.57 (define @t28 () (> 0/1 0/1)) % 0.36/0.57 (define @t29 () (* -1/1 -6/7)) % 0.36/0.57 (define @t30 () (>= 0/1 @t29)) % 0.36/0.57 (define @t31 () (or @t30 @t28 @t28)) % 0.36/0.57 (define @t32 () @arith_vts_delta) % 0.36/0.57 (define @t33 () (+ 2/1 (* -7/3 @t32))) % 0.36/0.57 (assume @p1 @t7) % 0.36/0.57 (assume @p2 true) % 0.36/0.57 (step @p3 :rule bool-double-not-elim :args (@t14)) % 0.36/0.57 (step @p4 :rule bool-double-not-elim :args (@t9)) % 0.36/0.57 (step @p5 :rule bool-double-not-elim :args (@t11)) % 0.36/0.57 (step @p6 :rule bool-double-not-elim :args (@t13)) % 0.36/0.57 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t21)) % 0.36/0.57 (step @p8 :rule aci_norm :args ((= (or @t20 (or @t18 @t16)) @t21))) % 0.36/0.57 (step @p9 :rule trans :premises (@p8 @p7)) % 0.36/0.57 (step @p10 :rule bool-and-de-morgan :args (@t17 @t15 true)) % 0.36/0.57 (step @p11 :rule refl :args (@t20)) % 0.36/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t20 (not (and @t17 @t15))))) % 0.36/0.57 (step @p13 :rule bool-and-de-morgan :args (@t19 @t17 (and @t15))) % 0.36/0.57 (step @p14 :rule trans :premises (@p13 @p12)) % 0.36/0.57 (step @p15 :rule trans :premises (@p14 @p9)) % 0.36/0.57 (step @p16 :rule cong :premises (@p15) :args (@t23)) % 0.36/0.57 (step @p17 :rule cong :premises (@p16) :args (@t24)) % 0.36/0.57 (step @p18 :rule exists-elim :args ((= (exists @t5 @t22) @t24))) % 0.36/0.57 (step @p19 :rule trans :premises (@p18 @p17)) % 0.36/0.57 (step @p20 :rule arith_poly_norm :args ((= (* -2/1 (- @t3 6/1)) (* -6/1 (- @t8 2/1))))) % 0.36/0.57 (step @p21 :rule arith_poly_norm_rel :premises (@p20) :args ((= @t25 @t9))) % 0.36/0.57 (step @p22 :rule cong :premises (@p21) :args ((not @t25))) % 0.36/0.57 (step @p23 :rule arith-elim-lt :args (@t3 6/1)) % 0.36/0.57 (step @p24 :rule trans :premises (@p23 @p22)) % 0.36/0.57 (step @p25 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t1)) (* -1/1 (- @t10 0/1))))) % 0.36/0.57 (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= @t26 @t11))) % 0.36/0.57 (step @p27 :rule cong :premises (@p26) :args ((not @t26))) % 0.36/0.57 (step @p28 :rule arith-elim-lt :args (0/1 @t1)) % 0.36/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.36/0.57 (step @p30 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t2)) (* -1/1 (- @t12 0/1))))) % 0.36/0.57 (step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= @t27 @t13))) % 0.36/0.57 (step @p32 :rule cong :premises (@p31) :args ((not @t27))) % 0.36/0.57 (step @p33 :rule arith-elim-lt :args (0/1 @t2)) % 0.36/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.36/0.57 (step @p35 :rule nary_cong :premises (@p34 @p29 @p24) :args (@t4)) % 0.36/0.57 (step @p36 :rule cong :premises (@p35) :args (@t6)) % 0.36/0.57 (step @p37 :rule trans :premises (@p36 @p19)) % 0.36/0.57 (step @p38 :rule cong :premises (@p37) :args (@t7)) % 0.36/0.57 (step @p39 :rule trans :premises (@p38 @p3)) % 0.36/0.57 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 0.36/0.57 (step @p41 :rule bool-impl-false1 :args (@t14)) % 0.36/0.57 (step @p42 :rule evaluate :args ((or false false false))) % 0.36/0.57 (step @p43 :rule evaluate :args (@t28)) % 0.36/0.57 (step @p44 :rule evaluate :args ((>= 0/1 6/7))) % 0.36/0.57 (step @p45 :rule evaluate :args (@t29)) % 0.36/0.57 (step @p46 :rule refl :args (0/1)) % 0.36/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args (@t30)) % 0.36/0.57 (step @p48 :rule trans :premises (@p47 @p44)) % 0.36/0.57 (step @p49 :rule nary_cong :premises (@p48 @p43 @p43) :args (@t31)) % 0.36/0.57 (step @p50 :rule trans :premises (@p49 @p42)) % 0.36/0.57 (step @p51 :rule refl :args (@t14)) % 0.36/0.57 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t14 @t31))) % 0.36/0.57 (step @p53 :rule trans :premises (@p52 @p41)) % 0.36/0.57 (assume-push @p62 @t14) % 0.36/0.57 ; WARNING: add trust step for TRUST % 0.36/0.57 ; trust TRUST QUANTIFIERS_INST_REWRITE % 0.36/0.57 (step @p55 :rule trust :premises () :args ((= (or (>= (* -1/1 @t33) 0/1) (>= (* -1/1 @t32) 0/1) (>= (+ @t33 (* 4/3 @t32)) 2/1)) @t31))) % 0.36/0.57 (step @p56 :rule instantiate :premises (@p40) :args ((@list @t33 @t32))) % 0.36/0.57 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.36/0.57 (step-pop @p63 :rule scope :premises (@p57)) % 0.36/0.57 (step @p58 :rule process_scope :premises (@p63) :args (@t31)) % 0.36/0.57 (step @p60 :rule eq_resolve :premises (@p58 @p53)) % 0.36/0.57 (step @p61 false :rule chain_m_resolution :premises (@p60 @p40) :args (false (@list false) (@list @t14))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------