%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI677_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 : n019.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 08:08:06 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI677_1 : TPTP v9.2.1. Released v6.3.0. % 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 : n019.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 02:32:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 0.38/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-const tptp.a Int) % 0.38/0.56 (define @t1 () (* tptp.a tptp.a)) % 0.38/0.56 (define @t2 () (* @t1 tptp.a)) % 0.38/0.56 (define @t3 () (>= 0 @t2)) % 0.38/0.56 (define @t4 () (* @t2 tptp.a)) % 0.38/0.56 (define @t5 () (= @t4 0)) % 0.38/0.56 (define @t6 () (not @t5)) % 0.38/0.56 (define @t7 () (* tptp.a tptp.a tptp.a)) % 0.38/0.56 (define @t8 () (+ @t7 1)) % 0.38/0.56 (define @t9 () (>= 0 @t7)) % 0.38/0.56 (define @t10 () (* tptp.a tptp.a)) % 0.38/0.56 (define @t11 () (* tptp.a tptp.a tptp.a tptp.a)) % 0.38/0.56 (define @t12 () (= tptp.a 0)) % 0.38/0.56 (define @t13 () (* 0 0 0 0)) % 0.38/0.56 (define @t14 () (= @t11 0)) % 0.38/0.56 (define @t15 () (not @t12)) % 0.38/0.56 (define @t16 () (>= tptp.a 1)) % 0.38/0.56 (define @t17 () (>= tptp.a 0)) % 0.38/0.56 (define @t18 () (not @t17)) % 0.38/0.56 (define @t19 () (and @t17 @t15)) % 0.38/0.56 (define @t20 () (@list false true)) % 0.38/0.56 (define @t21 () (>= @t7 1)) % 0.38/0.56 (define @t22 () (+ 0 1)) % 0.38/0.56 (define @t23 () (>= @t7 @t22)) % 0.38/0.56 (define @t24 () (>= tptp.a @t22)) % 0.38/0.56 (define @t25 () (> tptp.a 0)) % 0.38/0.56 (assume @p1 @t3) % 0.38/0.56 (assume @p2 (<= 0 tptp.a)) % 0.38/0.56 (assume @p3 @t6) % 0.38/0.56 (assume @p4 true) % 0.38/0.56 (step @p5 :rule arith_poly_norm :args ((= (* -1 (- 1 @t8)) (* -1 (- 0 @t7))))) % 0.38/0.56 (step @p6 :rule arith_poly_norm_rel :premises (@p5) :args ((= (>= 1 @t8) @t9))) % 0.38/0.56 (step @p7 :rule arith-geq-tighten :args (@t7 1)) % 0.38/0.56 (step @p8 :rule trans :premises (@p7 @p6)) % 0.38/0.56 (step @p9 :rule symm :premises (@p8)) % 0.38/0.56 (step @p10 :rule arith_poly_norm :args ((= (* @t10 tptp.a) @t7))) % 0.38/0.56 (step @p11 :rule refl :args (tptp.a)) % 0.38/0.56 (step @p12 :rule arith_poly_norm :args ((= @t1 @t10))) % 0.38/0.56 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t2)) % 0.38/0.56 (step @p14 :rule trans :premises (@p13 @p10)) % 0.38/0.56 (step @p15 :rule refl :args (0)) % 0.38/0.56 (step @p16 :rule cong :premises (@p15 @p14) :args (@t3)) % 0.38/0.56 (step @p17 :rule trans :premises (@p16 @p9)) % 0.38/0.56 (step @p18 :rule eq_resolve :premises (@p1 @p17)) % 0.38/0.56 (step @p19 :rule arith_poly_norm :args ((= (* @t7 tptp.a) @t11))) % 0.38/0.56 (step @p20 :rule nary_cong :premises (@p14 @p11) :args (@t4)) % 0.38/0.56 (step @p21 :rule trans :premises (@p20 @p19)) % 0.38/0.56 (step @p22 :rule cong :premises (@p21 @p15) :args (@t5)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args (@t6)) % 0.38/0.56 (step @p24 :rule eq_resolve :premises (@p3 @p23)) % 0.38/0.56 (assume-push @p99 @t12) % 0.38/0.56 (step @p26 :rule evaluate :args ((= 0 0))) % 0.38/0.56 (step @p27 :rule evaluate :args (@t13)) % 0.38/0.56 (step @p28 :rule cong :premises (@p27 @p15) :args ((= @t13 0))) % 0.38/0.56 (step @p29 :rule trans :premises (@p28 @p26)) % 0.38/0.56 (step @p30 :rule nary_cong :premises (@p99 @p99 @p99 @p99) :args (@t11)) % 0.38/0.56 (step @p31 :rule cong :premises (@p30 @p15) :args (@t14)) % 0.38/0.56 (step @p32 :rule trans :premises (@p31 @p29)) % 0.38/0.56 (step @p33 :rule true_elim :premises (@p32)) % 0.38/0.56 (step-pop @p100 :rule scope :premises (@p33)) % 0.38/0.56 (step @p34 :rule process_scope :premises (@p100) :args (@t14)) % 0.38/0.56 (step @p36 :rule implies_elim :premises (@p34)) % 0.38/0.56 (step @p37 :rule reordering :premises (@p36) :args ((or @t14 @t15))) % 0.38/0.56 (step @p38 :rule chain_m_resolution :premises (@p37 @p24) :args (@t15 (@list true) (@list @t14))) % 0.38/0.56 (step @p39 :rule arith-elim-leq :args (0 tptp.a)) % 0.38/0.56 (step @p40 :rule eq_resolve :premises (@p2 @p39)) % 0.38/0.56 (step @p41 :rule refl :args (@t16)) % 0.38/0.56 (step @p42 :rule bool-double-not-elim :args (@t12)) % 0.38/0.56 (step @p43 :rule refl :args (@t18)) % 0.38/0.56 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41) :args ((or @t18 (not @t15) @t16))) % 0.38/0.56 (assume-push @p101 @t17) % 0.38/0.56 (assume-push @p102 @t15) % 0.38/0.56 (assume-push @p103 @t17) % 0.38/0.56 (assume-push @p104 @t15) % 0.38/0.56 (step @p49 :rule arith_trichotomy :premises (@p40 @p102)) % 0.38/0.56 (step @p50 :rule int_tight_lb :premises (@p49)) % 0.38/0.56 (step-pop @p105 :rule scope :premises (@p50)) % 0.38/0.56 (step-pop @p106 :rule scope :premises (@p105)) % 0.38/0.56 (step @p51 :rule process_scope :premises (@p106) :args (@t16)) % 0.38/0.56 (step @p54 :rule and_intro :premises (@p40 @p102)) % 0.38/0.56 (step @p55 :rule modus_ponens :premises (@p54 @p51)) % 0.38/0.56 (step-pop @p107 :rule scope :premises (@p55)) % 0.38/0.56 (step-pop @p108 :rule scope :premises (@p107)) % 0.38/0.56 (step @p56 :rule process_scope :premises (@p108) :args (@t16)) % 0.38/0.56 (step @p59 :rule implies_elim :premises (@p56)) % 0.38/0.56 (step @p60 :rule cnf_and_neg :args (@t19)) % 0.38/0.56 (step @p61 :rule resolution :premises (@p60 @p59) :args (true @t19)) % 0.38/0.56 (step @p62 :rule eq_resolve :premises (@p61 @p44)) % 0.38/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p40 @p38) :args (@t16 @t20 (@list @t17 @t12))) % 0.38/0.56 (step @p64 :rule bool-double-not-elim :args (@t21)) % 0.38/0.56 (step @p65 :rule evaluate :args (@t22)) % 0.38/0.56 (step @p66 :rule refl :args (@t7)) % 0.38/0.56 (step @p67 :rule cong :premises (@p66 @p65) :args (@t23)) % 0.38/0.56 (step @p68 :rule cong :premises (@p67) :args ((not @t23))) % 0.38/0.56 (step @p69 :rule arith-leq-norm :args (@t7 0)) % 0.38/0.56 (step @p70 :rule trans :premises (@p69 @p68)) % 0.38/0.56 (step @p71 :rule cong :premises (@p70) :args ((not (<= @t7 0)))) % 0.38/0.56 (step @p72 :rule trans :premises (@p71 @p64)) % 0.38/0.56 (step @p73 :rule arith-elim-leq :args (@t7 0)) % 0.38/0.56 (step @p74 :rule symm :premises (@p73)) % 0.38/0.56 (step @p75 :rule cong :premises (@p74) :args ((not @t9))) % 0.38/0.56 (step @p76 :rule arith-elim-gt :args (@t7 0)) % 0.38/0.56 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.56 (step @p78 :rule trans :premises (@p77 @p72)) % 0.38/0.56 (step @p79 :rule bool-double-not-elim :args (@t16)) % 0.38/0.56 (step @p80 :rule refl :args (tptp.a)) % 0.38/0.56 (step @p81 :rule cong :premises (@p80 @p65) :args (@t24)) % 0.38/0.56 (step @p82 :rule cong :premises (@p81) :args ((not @t24))) % 0.38/0.56 (step @p83 :rule arith-leq-norm :args (tptp.a 0)) % 0.38/0.56 (step @p84 :rule trans :premises (@p83 @p82)) % 0.38/0.56 (step @p85 :rule cong :premises (@p84) :args ((not (<= tptp.a 0)))) % 0.38/0.56 (step @p86 :rule trans :premises (@p85 @p79)) % 0.38/0.56 (step @p87 :rule arith-elim-leq :args (tptp.a 0)) % 0.38/0.56 (step @p88 :rule symm :premises (@p87)) % 0.38/0.56 (step @p89 :rule cong :premises (@p88) :args ((not (>= 0 tptp.a)))) % 0.38/0.56 (step @p90 :rule arith-elim-gt :args (tptp.a 0)) % 0.38/0.56 (step @p91 :rule trans :premises (@p90 @p89)) % 0.38/0.56 (step @p92 :rule trans :premises (@p91 @p86)) % 0.38/0.56 (step @p93 :rule cong :premises (@p92 @p78) :args ((=> @t25 (> @t7 0)))) % 0.38/0.56 (step @p94 :rule arith_mult_sign :args (@t25 @t7)) % 0.38/0.56 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.38/0.56 (step @p96 :rule implies_elim :premises (@p95)) % 0.38/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t21 (not @t16)))) % 0.38/0.56 (step @p98 false :rule chain_m_resolution :premises (@p97 @p63 @p18) :args (false @t20 (@list @t16 @t21))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------