%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI676_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 : 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 08:08:06 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI676_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 % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 02:31:52 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 0.30/0.54 --- Run --finite-model-find --decision=internal at 45... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-const tptp.a Int) % 0.30/0.54 (define @t1 () (* tptp.a tptp.a)) % 0.30/0.54 (define @t2 () (+ @t1 10)) % 0.30/0.54 (define @t3 () (<= 0 @t2)) % 0.30/0.54 (define @t4 () (not @t3)) % 0.30/0.54 (define @t5 () (* tptp.a tptp.a)) % 0.30/0.54 (define @t6 () (+ 10 @t5)) % 0.30/0.54 (define @t7 () (>= @t5 -10)) % 0.30/0.54 (define @t8 () (>= @t5 1)) % 0.30/0.54 (define @t9 () (not @t8)) % 0.30/0.54 (define @t10 () (not @t7)) % 0.30/0.54 (define @t11 () (not @t10)) % 0.30/0.54 (define @t12 () (* -1 1)) % 0.30/0.54 (define @t13 () (+ @t12 -11)) % 0.30/0.54 (define @t14 () (+ (* -1 @t5) @t5)) % 0.30/0.54 (define @t15 () (= @t14 0)) % 0.30/0.54 (define @t16 () (< -1 0)) % 0.30/0.54 (define @t17 () (and @t8 @t10)) % 0.30/0.54 (define @t18 () (@list true)) % 0.30/0.54 (define @t19 () (= tptp.a 0)) % 0.30/0.54 (define @t20 () (not @t19)) % 0.30/0.54 (define @t21 () (+ 0 1)) % 0.30/0.54 (define @t22 () (>= @t5 @t21)) % 0.30/0.54 (define @t23 () (* 0 0)) % 0.30/0.54 (define @t24 () (= @t5 0)) % 0.30/0.54 (define @t25 () (not @t24)) % 0.30/0.54 (define @t26 () (* -1 0)) % 0.30/0.54 (define @t27 () (+ @t26 -11)) % 0.30/0.54 (define @t28 () (and @t24 @t10)) % 0.30/0.54 (assume @p1 @t4) % 0.30/0.54 (assume @p2 true) % 0.30/0.54 (step @p3 :rule arith_poly_norm :args ((= (* 10 (- @t6 0)) (* 10 (- @t5 -10))))) % 0.30/0.54 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (>= @t6 0) @t7))) % 0.30/0.54 (step @p5 :rule arith-elim-leq :args (0 @t6)) % 0.30/0.54 (step @p6 :rule trans :premises (@p5 @p4)) % 0.30/0.54 (step @p7 :rule arith_poly_norm :args ((= (+ @t5 10) @t6))) % 0.30/0.54 (step @p8 :rule refl :args (10)) % 0.30/0.54 (step @p9 :rule arith_poly_norm :args ((= @t1 @t5))) % 0.30/0.54 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t2)) % 0.30/0.54 (step @p11 :rule trans :premises (@p10 @p7)) % 0.30/0.54 (step @p12 :rule refl :args (0)) % 0.30/0.54 (step @p13 :rule cong :premises (@p12 @p11) :args (@t3)) % 0.30/0.54 (step @p14 :rule trans :premises (@p13 @p6)) % 0.30/0.54 (step @p15 :rule cong :premises (@p14) :args (@t4)) % 0.30/0.54 (step @p16 :rule eq_resolve :premises (@p1 @p15)) % 0.30/0.54 (step @p17 :rule refl :args (@t9)) % 0.30/0.54 (step @p18 :rule bool-double-not-elim :args (@t7)) % 0.30/0.54 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t11 @t9))) % 0.30/0.54 (assume-push @p140 @t8) % 0.30/0.54 (assume-push @p141 @t10) % 0.30/0.54 (step @p22 :rule bool-double-not-elim :args (@t8)) % 0.30/0.54 (step @p23 :rule arith-elim-lt :args (@t5 1)) % 0.30/0.54 (step @p24 :rule cong :premises (@p23) :args ((not (< @t5 1)))) % 0.30/0.54 (step @p25 :rule trans :premises (@p24 @p22)) % 0.30/0.54 (step @p26 :rule symm :premises (@p25)) % 0.30/0.54 (step @p27 :rule eq_resolve :premises (@p140 @p26)) % 0.30/0.54 (step @p28 :rule symm :premises (@p23)) % 0.30/0.54 (assume-push @p142 @t8) % 0.30/0.54 (step @p30 :rule evaluate :args ((<= 0 -12))) % 0.30/0.54 (step @p31 :rule evaluate :args ((+ -1 -11))) % 0.30/0.54 (step @p32 :rule refl :args (-11)) % 0.30/0.54 (step @p33 :rule evaluate :args (@t12)) % 0.30/0.54 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t13)) % 0.30/0.54 (step @p35 :rule trans :premises (@p34 @p31)) % 0.30/0.54 (step @p36 :rule arith_poly_norm :args (@t15)) % 0.30/0.54 (step @p37 :rule cong :premises (@p36 @p35) :args ((<= @t14 @t13))) % 0.30/0.54 (step @p38 :rule trans :premises (@p37 @p30)) % 0.30/0.54 (step @p39 :rule arith-elim-lt :args (@t5 -10)) % 0.30/0.54 (step @p40 :rule symm :premises (@p39)) % 0.30/0.54 (step @p41 :rule eq_resolve :premises (@p16 @p40)) % 0.30/0.54 (step @p42 :rule int_tight_ub :premises (@p41)) % 0.30/0.54 (step @p43 :rule arith_mult_neg :args (-1 @t8)) % 0.30/0.54 (step @p44 :rule evaluate :args (@t16)) % 0.30/0.54 (step @p45 :rule true_elim :premises (@p44)) % 0.30/0.54 (step @p46 :rule and_intro :premises (@p45 @p140)) % 0.30/0.54 (step @p47 :rule modus_ponens :premises (@p46 @p43)) % 0.30/0.54 (step @p48 :rule arith_sum_ub :premises (@p47 @p42)) % 0.30/0.54 (step @p49 false :rule eq_resolve :premises (@p48 @p38)) % 0.30/0.54 (step-pop @p143 :rule scope :premises (@p49)) % 0.30/0.54 (step @p50 :rule process_scope :premises (@p143) :args (false)) % 0.30/0.54 (step @p52 :rule eq_resolve :premises (@p50 @p28)) % 0.30/0.54 (step @p53 false :rule contra :premises (@p52 @p27)) % 0.30/0.54 (step-pop @p144 :rule scope :premises (@p53)) % 0.30/0.54 (step-pop @p145 :rule scope :premises (@p144)) % 0.30/0.54 (step @p54 :rule process_scope :premises (@p145) :args (false)) % 0.30/0.54 (assume-push @p146 @t10) % 0.30/0.54 (assume-push @p147 @t8) % 0.30/0.54 (step @p59 :rule and_intro :premises (@p147 @p16)) % 0.30/0.54 (step-pop @p148 :rule scope :premises (@p59)) % 0.30/0.54 (step-pop @p149 :rule scope :premises (@p148)) % 0.30/0.54 (step @p60 :rule process_scope :premises (@p149) :args (@t17)) % 0.30/0.54 (step @p63 :rule implies_elim :premises (@p60)) % 0.30/0.54 (step @p64 :rule resolution :premises (@p63 @p54) :args (true @t17)) % 0.30/0.54 (step @p65 :rule not_and :premises (@p64)) % 0.30/0.54 (step @p66 :rule eq_resolve :premises (@p65 @p19)) % 0.30/0.54 (step @p67 :rule chain_m_resolution :premises (@p66 @p16) :args (@t9 @t18 (@list @t7))) % 0.30/0.54 (step @p68 :rule refl :args (@t8)) % 0.30/0.54 (step @p69 :rule bool-double-not-elim :args (@t19)) % 0.30/0.54 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t20) @t8))) % 0.30/0.54 (step @p22 :rule bool-double-not-elim :args (@t8)) % 0.30/0.54 (step @p71 :rule evaluate :args (@t21)) % 0.30/0.54 (step @p72 :rule refl :args (@t5)) % 0.30/0.54 (step @p73 :rule cong :premises (@p72 @p71) :args (@t22)) % 0.30/0.54 (step @p74 :rule cong :premises (@p73) :args ((not @t22))) % 0.30/0.54 (step @p75 :rule arith-leq-norm :args (@t5 0)) % 0.30/0.54 (step @p76 :rule trans :premises (@p75 @p74)) % 0.30/0.54 (step @p77 :rule cong :premises (@p76) :args ((not (<= @t5 0)))) % 0.30/0.54 (step @p78 :rule trans :premises (@p77 @p22)) % 0.30/0.54 (step @p79 :rule arith-elim-leq :args (@t5 0)) % 0.30/0.54 (step @p80 :rule symm :premises (@p79)) % 0.30/0.54 (step @p81 :rule cong :premises (@p80) :args ((not (>= 0 @t5)))) % 0.30/0.54 (step @p82 :rule arith-elim-gt :args (@t5 0)) % 0.30/0.54 (step @p83 :rule trans :premises (@p82 @p81)) % 0.30/0.54 (step @p84 :rule trans :premises (@p83 @p78)) % 0.30/0.54 (step @p85 :rule refl :args (@t20)) % 0.30/0.54 (step @p86 :rule cong :premises (@p85 @p84) :args ((=> @t20 (> @t5 0)))) % 0.30/0.54 (step @p87 :rule arith_mult_sign :args (@t20 @t5)) % 0.30/0.54 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.30/0.54 (step @p89 :rule implies_elim :premises (@p88)) % 0.30/0.54 (step @p90 :rule eq_resolve :premises (@p89 @p70)) % 0.30/0.54 (step @p91 :rule chain_m_resolution :premises (@p90 @p67) :args (@t19 @t18 (@list @t8))) % 0.30/0.54 (assume-push @p150 @t19) % 0.30/0.54 (step @p93 :rule evaluate :args ((= 0 0))) % 0.30/0.54 (step @p94 :rule evaluate :args (@t23)) % 0.30/0.54 (step @p95 :rule cong :premises (@p94 @p12) :args ((= @t23 0))) % 0.30/0.54 (step @p96 :rule trans :premises (@p95 @p93)) % 0.30/0.54 (step @p97 :rule nary_cong :premises (@p150 @p150) :args (@t5)) % 0.30/0.54 (step @p98 :rule cong :premises (@p97 @p12) :args (@t24)) % 0.30/0.54 (step @p99 :rule trans :premises (@p98 @p96)) % 0.30/0.54 (step @p100 :rule true_elim :premises (@p99)) % 0.30/0.54 (step-pop @p151 :rule scope :premises (@p100)) % 0.30/0.54 (step @p101 :rule process_scope :premises (@p151) :args (@t24)) % 0.30/0.54 (step @p103 :rule implies_elim :premises (@p101)) % 0.30/0.54 (step @p104 :rule reordering :premises (@p103) :args ((or @t24 @t20))) % 0.30/0.54 (step @p105 :rule chain_m_resolution :premises (@p104 @p91) :args (@t24 (@list false) (@list @t19))) % 0.30/0.54 (step @p106 :rule refl :args (@t25)) % 0.30/0.54 (step @p107 :rule nary_cong :premises (@p18 @p106) :args ((or @t11 @t25))) % 0.30/0.54 (assume-push @p152 @t24) % 0.30/0.54 (assume-push @p153 @t10) % 0.30/0.54 (assume-push @p154 @t24) % 0.30/0.54 (step @p111 :rule evaluate :args ((<= 0 -11))) % 0.30/0.54 (step @p112 :rule evaluate :args ((+ 0 -11))) % 0.30/0.54 (step @p32 :rule refl :args (-11)) % 0.30/0.54 (step @p113 :rule evaluate :args (@t26)) % 0.30/0.54 (step @p114 :rule nary_cong :premises (@p113 @p32) :args (@t27)) % 0.30/0.54 (step @p115 :rule trans :premises (@p114 @p112)) % 0.30/0.54 (step @p36 :rule arith_poly_norm :args (@t15)) % 0.30/0.54 (step @p116 :rule cong :premises (@p36 @p115) :args ((<= @t14 @t27))) % 0.30/0.54 (step @p117 :rule trans :premises (@p116 @p111)) % 0.30/0.54 (step @p39 :rule arith-elim-lt :args (@t5 -10)) % 0.30/0.54 (step @p40 :rule symm :premises (@p39)) % 0.30/0.54 (step @p41 :rule eq_resolve :premises (@p16 @p40)) % 0.30/0.54 (step @p42 :rule int_tight_ub :premises (@p41)) % 0.30/0.54 (step @p118 :rule arith_mult_neg :args (-1 @t24)) % 0.30/0.54 (step @p44 :rule evaluate :args (@t16)) % 0.30/0.54 (step @p45 :rule true_elim :premises (@p44)) % 0.30/0.54 (step @p119 :rule and_intro :premises (@p45 @p152)) % 0.30/0.54 (step @p120 :rule modus_ponens :premises (@p119 @p118)) % 0.30/0.54 (step @p121 :rule arith_sum_ub :premises (@p120 @p42)) % 0.30/0.54 (step @p122 false :rule eq_resolve :premises (@p121 @p117)) % 0.30/0.54 (step-pop @p155 :rule scope :premises (@p122)) % 0.30/0.54 (step @p123 :rule process_scope :premises (@p155) :args (false)) % 0.30/0.54 (step @p125 false :rule contra :premises (@p152 @p123)) % 0.30/0.54 (step-pop @p156 :rule scope :premises (@p125)) % 0.30/0.54 (step-pop @p157 :rule scope :premises (@p156)) % 0.30/0.54 (step @p126 :rule process_scope :premises (@p157) :args (false)) % 0.30/0.54 (assume-push @p158 @t10) % 0.30/0.54 (assume-push @p159 @t24) % 0.30/0.54 (step @p131 :rule and_intro :premises (@p159 @p16)) % 0.30/0.54 (step-pop @p160 :rule scope :premises (@p131)) % 0.30/0.54 (step-pop @p161 :rule scope :premises (@p160)) % 0.30/0.54 (step @p132 :rule process_scope :premises (@p161) :args (@t28)) % 0.30/0.54 (step @p135 :rule implies_elim :premises (@p132)) % 0.30/0.54 (step @p136 :rule resolution :premises (@p135 @p126) :args (true @t28)) % 0.30/0.54 (step @p137 :rule not_and :premises (@p136)) % 0.30/0.54 (step @p138 :rule eq_resolve :premises (@p137 @p107)) % 0.30/0.55 (step @p139 false :rule chain_m_resolution :premises (@p138 @p105 @p16) :args (false (@list false true) (@list @t24 @t7))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------