%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI654_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 : n029.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 08:08:04 AM UTC 2026 % Result : Unsatisfiable 0.27s 0.54s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI654_1 : TPTP v9.2.1. Released v6.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.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 02:31:17 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_ARI % 0.27/0.50 --- Run --finite-model-find --decision=internal at 45... % 0.27/0.54 % SZS status Unsatisfiable % 0.27/0.54 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-const tptp.z Int) % 0.38/0.56 (declare-const tptp.y Int) % 0.38/0.56 (declare-const tptp.x Int) % 0.38/0.56 (define @t1 () (* 5 tptp.x)) % 0.38/0.56 (define @t2 () (- @t1 1)) % 0.38/0.56 (define @t3 () (>= tptp.y @t2)) % 0.38/0.56 (define @t4 () (- tptp.y 1)) % 0.38/0.56 (define @t5 () (* 5 tptp.z)) % 0.38/0.56 (define @t6 () (<= @t5 @t4)) % 0.38/0.56 (define @t7 () (- tptp.y 2)) % 0.38/0.56 (define @t8 () (>= @t5 @t7)) % 0.38/0.56 (define @t9 () (+ -1 @t1)) % 0.38/0.56 (define @t10 () (* -1 tptp.y)) % 0.38/0.56 (define @t11 () (+ @t1 @t10)) % 0.38/0.56 (define @t12 () (+ @t11 1)) % 0.38/0.56 (define @t13 () (* -1 1)) % 0.38/0.56 (define @t14 () (+ @t1 @t13)) % 0.38/0.56 (define @t15 () (+ -2 tptp.y)) % 0.38/0.56 (define @t16 () (* -5 tptp.z)) % 0.38/0.56 (define @t17 () (+ tptp.y @t16)) % 0.38/0.56 (define @t18 () (+ @t17 1)) % 0.38/0.56 (define @t19 () (* -1 2)) % 0.38/0.56 (define @t20 () (+ tptp.y @t19)) % 0.38/0.56 (define @t21 () (+ -1 tptp.y)) % 0.38/0.56 (define @t22 () (>= @t17 1)) % 0.38/0.56 (define @t23 () (+ tptp.y @t13)) % 0.38/0.56 (define @t24 () (>= @t11 0)) % 0.38/0.56 (define @t25 () (+ tptp.x (* -1 tptp.z))) % 0.38/0.56 (define @t26 () (>= @t25 1)) % 0.38/0.56 (define @t27 () (not @t22)) % 0.38/0.56 (define @t28 () (not @t24)) % 0.38/0.56 (define @t29 () (not @t26)) % 0.38/0.56 (define @t30 () (* 5 0)) % 0.38/0.56 (define @t31 () (* -1 0)) % 0.38/0.56 (define @t32 () (+ @t31 @t13 @t30)) % 0.38/0.56 (define @t33 () (+ @t1 @t16)) % 0.38/0.56 (define @t34 () (+ @t10 @t5)) % 0.38/0.56 (define @t35 () (* -5 tptp.x)) % 0.38/0.56 (define @t36 () (+ @t35 tptp.y)) % 0.38/0.56 (define @t37 () (* 5 @t25)) % 0.38/0.56 (define @t38 () (* -1 @t17)) % 0.38/0.56 (define @t39 () (* -1 @t11)) % 0.38/0.56 (define @t40 () (+ @t39 @t38 @t37)) % 0.38/0.56 (define @t41 () (and @t29 @t22 @t24)) % 0.38/0.56 (define @t42 () (>= @t17 3)) % 0.38/0.56 (define @t43 () (>= @t11 2)) % 0.38/0.56 (define @t44 () (not @t42)) % 0.38/0.56 (define @t45 () (not @t43)) % 0.38/0.56 (define @t46 () (< @t17 3)) % 0.38/0.56 (define @t47 () (* -5 1)) % 0.38/0.56 (define @t48 () (+ 3 2 @t47)) % 0.38/0.56 (define @t49 () (+ @t5 @t16 @t10 @t1 tptp.y @t35)) % 0.38/0.56 (define @t50 () (+ @t17 @t11 (* -5 @t25))) % 0.38/0.56 (define @t51 () (>= @t50 @t48)) % 0.38/0.56 (define @t52 () (and @t26 @t45 @t44)) % 0.38/0.56 (assume @p1 @t3) % 0.38/0.56 (assume @p2 (<= tptp.y @t1)) % 0.38/0.56 (assume @p3 @t6) % 0.38/0.56 (assume @p4 @t8) % 0.38/0.56 (step @p5 :rule arith_poly_norm :args ((= (* 1 (- 2 @t12)) (* 1 (- tptp.y @t9))))) % 0.38/0.56 (step @p6 :rule arith_poly_norm_rel :premises (@p5) :args ((= (>= 2 @t12) (>= tptp.y @t9)))) % 0.38/0.56 (step @p7 :rule arith-geq-tighten :args (@t11 2)) % 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 ((= (+ @t1 -1) @t9))) % 0.38/0.56 (step @p11 :rule evaluate :args (@t13)) % 0.38/0.56 (step @p12 :rule refl :args (@t1)) % 0.38/0.56 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t14)) % 0.38/0.56 (step @p14 :rule trans :premises (@p13 @p10)) % 0.38/0.56 (step @p15 :rule arith_poly_norm :args ((= @t2 @t14))) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p14)) % 0.38/0.56 (step @p17 :rule refl :args (tptp.y)) % 0.38/0.56 (step @p18 :rule cong :premises (@p17 @p16) :args (@t3)) % 0.38/0.56 (step @p19 :rule trans :premises (@p18 @p9)) % 0.38/0.56 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.38/0.56 (step @p21 :rule arith_poly_norm :args ((= (* 2 (- 3 @t18)) (* 2 (- @t5 @t15))))) % 0.38/0.56 (step @p22 :rule arith_poly_norm_rel :premises (@p21) :args ((= (>= 3 @t18) (>= @t5 @t15)))) % 0.38/0.56 (step @p23 :rule arith-geq-tighten :args (@t17 3)) % 0.38/0.56 (step @p24 :rule trans :premises (@p23 @p22)) % 0.38/0.56 (step @p25 :rule symm :premises (@p24)) % 0.38/0.56 (step @p26 :rule arith_poly_norm :args ((= (+ tptp.y -2) @t15))) % 0.38/0.56 (step @p27 :rule evaluate :args (@t19)) % 0.38/0.56 (step @p28 :rule nary_cong :premises (@p17 @p27) :args (@t20)) % 0.38/0.56 (step @p29 :rule trans :premises (@p28 @p26)) % 0.38/0.56 (step @p30 :rule arith_poly_norm :args ((= @t7 @t20))) % 0.38/0.56 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.56 (step @p32 :rule refl :args (@t5)) % 0.38/0.56 (step @p33 :rule cong :premises (@p32 @p31) :args (@t8)) % 0.38/0.56 (step @p34 :rule trans :premises (@p33 @p25)) % 0.38/0.56 (step @p35 :rule eq_resolve :premises (@p4 @p34)) % 0.38/0.56 (step @p36 :rule arith_poly_norm :args ((= (* -1 (- @t21 @t5)) (* -1 (- @t17 1))))) % 0.38/0.56 (step @p37 :rule arith_poly_norm_rel :premises (@p36) :args ((= (>= @t21 @t5) @t22))) % 0.38/0.56 (step @p38 :rule arith-elim-leq :args (@t5 @t21)) % 0.38/0.56 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.56 (step @p40 :rule arith_poly_norm :args ((= (+ tptp.y -1) @t21))) % 0.38/0.56 (step @p41 :rule nary_cong :premises (@p17 @p11) :args (@t23)) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.56 (step @p43 :rule arith_poly_norm :args ((= @t4 @t23))) % 0.38/0.56 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.56 (step @p45 :rule cong :premises (@p32 @p44) :args (@t6)) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p39)) % 0.38/0.56 (step @p47 :rule eq_resolve :premises (@p3 @p46)) % 0.38/0.56 (step @p48 :rule arith_poly_norm :args ((= (* 5 (- @t1 tptp.y)) (* 5 (- @t11 0))))) % 0.38/0.56 (step @p49 :rule arith_poly_norm_rel :premises (@p48) :args ((= (>= @t1 tptp.y) @t24))) % 0.38/0.56 (step @p50 :rule arith-elim-leq :args (tptp.y @t1)) % 0.38/0.56 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.56 (step @p52 :rule eq_resolve :premises (@p2 @p51)) % 0.38/0.56 (step @p53 :rule bool-double-not-elim :args (@t26)) % 0.38/0.56 (step @p54 :rule refl :args (@t27)) % 0.38/0.56 (step @p55 :rule refl :args (@t28)) % 0.38/0.56 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args ((or @t28 @t27 (not @t29)))) % 0.38/0.56 (assume-push @p183 @t29) % 0.38/0.56 (assume-push @p184 @t22) % 0.38/0.56 (assume-push @p185 @t24) % 0.38/0.56 (step @p60 :rule arith-elim-lt :args (@t11 0)) % 0.38/0.56 (step @p61 :rule symm :premises (@p60)) % 0.38/0.56 (assume-push @p186 @t24) % 0.38/0.56 (step @p63 :rule evaluate :args ((<= 0 -1))) % 0.38/0.56 (step @p64 :rule evaluate :args ((+ 0 -1 0))) % 0.38/0.56 (step @p65 :rule evaluate :args (@t30)) % 0.38/0.56 (step @p66 :rule evaluate :args (@t31)) % 0.38/0.56 (step @p67 :rule nary_cong :premises (@p66 @p11 @p65) :args (@t32)) % 0.38/0.56 (step @p68 :rule trans :premises (@p67 @p64)) % 0.38/0.56 (step @p69 :rule arith_poly_norm :args ((= (+ @t36 @t34 @t33) 0))) % 0.38/0.56 (step @p70 :rule arith_poly_norm :args ((= @t37 @t33))) % 0.38/0.56 (step @p71 :rule arith_poly_norm :args ((= @t38 @t34))) % 0.38/0.56 (step @p72 :rule arith_poly_norm :args ((= @t39 @t36))) % 0.38/0.56 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args (@t40)) % 0.38/0.56 (step @p74 :rule trans :premises (@p73 @p69)) % 0.38/0.56 (step @p75 :rule cong :premises (@p74 @p68) :args ((<= @t40 @t32))) % 0.38/0.56 (step @p76 :rule trans :premises (@p75 @p63)) % 0.38/0.56 (step @p77 :rule arith_mult_pos :args (5 (<= @t25 0))) % 0.38/0.56 (step @p78 :rule arith-elim-lt :args (@t25 1)) % 0.38/0.56 (step @p79 :rule symm :premises (@p78)) % 0.38/0.56 (step @p80 :rule eq_resolve :premises (@p183 @p79)) % 0.38/0.56 (step @p81 :rule int_tight_ub :premises (@p80)) % 0.38/0.56 (step @p82 :rule evaluate :args ((> 5 0))) % 0.38/0.56 (step @p83 :rule true_elim :premises (@p82)) % 0.38/0.56 (step @p84 :rule and_intro :premises (@p83 @p81)) % 0.38/0.56 (step @p85 :rule modus_ponens :premises (@p84 @p77)) % 0.38/0.56 (step @p86 :rule arith_mult_neg :args (-1 @t22)) % 0.38/0.56 (step @p87 :rule evaluate :args ((< -1 0))) % 0.38/0.56 (step @p88 :rule true_elim :premises (@p87)) % 0.38/0.56 (step @p89 :rule and_intro :premises (@p88 @p47)) % 0.38/0.56 (step @p90 :rule modus_ponens :premises (@p89 @p86)) % 0.38/0.56 (step @p91 :rule arith_mult_neg :args (-1 @t24)) % 0.38/0.56 (step @p92 :rule and_intro :premises (@p88 @p52)) % 0.38/0.56 (step @p93 :rule modus_ponens :premises (@p92 @p91)) % 0.38/0.56 (step @p94 :rule arith_sum_ub :premises (@p93 @p90 @p85)) % 0.38/0.56 (step @p95 false :rule eq_resolve :premises (@p94 @p76)) % 0.38/0.56 (step-pop @p187 :rule scope :premises (@p95)) % 0.38/0.56 (step @p96 :rule process_scope :premises (@p187) :args (false)) % 0.38/0.56 (step @p98 :rule eq_resolve :premises (@p96 @p61)) % 0.38/0.56 (step @p99 :rule eq_resolve :premises (@p98 @p60)) % 0.38/0.56 (step @p100 false :rule contra :premises (@p52 @p99)) % 0.38/0.56 (step-pop @p188 :rule scope :premises (@p100)) % 0.38/0.56 (step-pop @p189 :rule scope :premises (@p188)) % 0.38/0.56 (step-pop @p190 :rule scope :premises (@p189)) % 0.38/0.56 (step @p101 :rule process_scope :premises (@p190) :args (false)) % 0.38/0.56 (assume-push @p191 @t24) % 0.38/0.56 (assume-push @p192 @t22) % 0.38/0.56 (assume-push @p193 @t29) % 0.38/0.56 (step @p108 :rule and_intro :premises (@p193 @p47 @p52)) % 0.38/0.56 (step-pop @p194 :rule scope :premises (@p108)) % 0.38/0.56 (step-pop @p195 :rule scope :premises (@p194)) % 0.38/0.56 (step-pop @p196 :rule scope :premises (@p195)) % 0.38/0.56 (step @p109 :rule process_scope :premises (@p196) :args (@t41)) % 0.38/0.56 (step @p113 :rule implies_elim :premises (@p109)) % 0.38/0.56 (step @p114 :rule resolution :premises (@p113 @p101) :args (true @t41)) % 0.38/0.56 (step @p115 :rule not_and :premises (@p114)) % 0.38/0.56 (step @p116 :rule eq_resolve :premises (@p115 @p56)) % 0.38/0.56 (step @p117 :rule chain_m_resolution :premises (@p116 @p52 @p47) :args (@t26 (@list false false) (@list @t24 @t22))) % 0.38/0.56 (step @p118 :rule refl :args (@t29)) % 0.38/0.56 (step @p119 :rule bool-double-not-elim :args (@t42)) % 0.38/0.56 (step @p120 :rule bool-double-not-elim :args (@t43)) % 0.38/0.56 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args ((or (not @t45) (not @t44) @t29))) % 0.38/0.56 (assume-push @p197 @t26) % 0.38/0.56 (assume-push @p198 @t45) % 0.38/0.56 (assume-push @p199 @t44) % 0.38/0.56 (step @p125 :rule arith-elim-lt :args (@t17 3)) % 0.38/0.56 (step @p126 :rule cong :premises (@p125) :args ((not @t46))) % 0.38/0.56 (step @p127 :rule trans :premises (@p126 @p119)) % 0.38/0.56 (step @p128 :rule symm :premises (@p127)) % 0.38/0.56 (assume-push @p200 @t46) % 0.38/0.56 (step @p130 :rule evaluate :args ((not true))) % 0.38/0.56 (step @p131 :rule evaluate :args ((>= 0 0))) % 0.38/0.56 (step @p132 :rule evaluate :args ((+ 3 2 -5))) % 0.38/0.56 (step @p133 :rule evaluate :args (@t47)) % 0.38/0.56 (step @p134 :rule refl :args (2)) % 0.38/0.56 (step @p135 :rule refl :args (3)) % 0.38/0.56 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args (@t48)) % 0.38/0.56 (step @p137 :rule trans :premises (@p136 @p132)) % 0.38/0.56 (step @p138 :rule arith_poly_norm :args ((= @t49 0))) % 0.38/0.56 (step @p139 :rule arith_poly_norm :args ((= @t50 @t49))) % 0.38/0.56 (step @p140 :rule trans :premises (@p139 @p138)) % 0.38/0.56 (step @p141 :rule cong :premises (@p140 @p137) :args (@t51)) % 0.38/0.56 (step @p142 :rule trans :premises (@p141 @p131)) % 0.38/0.56 (step @p143 :rule cong :premises (@p142) :args ((not @t51))) % 0.38/0.56 (step @p144 :rule trans :premises (@p143 @p130)) % 0.38/0.56 (step @p145 :rule arith-elim-lt :args (@t50 @t48)) % 0.38/0.56 (step @p146 :rule trans :premises (@p145 @p144)) % 0.38/0.56 (step @p147 :rule arith_mult_neg :args (-5 @t26)) % 0.38/0.56 (step @p148 :rule evaluate :args ((< -5 0))) % 0.38/0.56 (step @p149 :rule true_elim :premises (@p148)) % 0.38/0.56 (step @p150 :rule and_intro :premises (@p149 @p197)) % 0.38/0.56 (step @p151 :rule modus_ponens :premises (@p150 @p147)) % 0.38/0.56 (step @p152 :rule arith-elim-lt :args (@t11 2)) % 0.38/0.56 (step @p153 :rule symm :premises (@p152)) % 0.38/0.56 (step @p154 :rule eq_resolve :premises (@p20 @p153)) % 0.38/0.56 (step @p155 :rule symm :premises (@p125)) % 0.38/0.56 (step @p156 :rule eq_resolve :premises (@p4 @p34)) % 0.38/0.56 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 0.38/0.56 (step @p158 :rule arith_sum_ub :premises (@p157 @p154 @p151)) % 0.38/0.56 (step @p159 false :rule eq_resolve :premises (@p158 @p146)) % 0.38/0.56 (step-pop @p201 :rule scope :premises (@p159)) % 0.38/0.56 (step @p160 :rule process_scope :premises (@p201) :args (false)) % 0.38/0.56 (step @p162 :rule eq_resolve :premises (@p160 @p127)) % 0.38/0.56 (step @p163 :rule eq_resolve :premises (@p162 @p128)) % 0.38/0.56 (step @p155 :rule symm :premises (@p125)) % 0.38/0.56 (step @p164 :rule eq_resolve :premises (@p35 @p155)) % 0.38/0.56 (step @p165 false :rule contra :premises (@p164 @p163)) % 0.38/0.56 (step-pop @p202 :rule scope :premises (@p165)) % 0.38/0.56 (step-pop @p203 :rule scope :premises (@p202)) % 0.38/0.56 (step-pop @p204 :rule scope :premises (@p203)) % 0.38/0.56 (step @p166 :rule process_scope :premises (@p204) :args (false)) % 0.38/0.56 (assume-push @p205 @t45) % 0.38/0.56 (assume-push @p206 @t44) % 0.38/0.56 (assume-push @p207 @t26) % 0.38/0.56 (step @p173 :rule and_intro :premises (@p207 @p20 @p35)) % 0.38/0.56 (step-pop @p208 :rule scope :premises (@p173)) % 0.38/0.56 (step-pop @p209 :rule scope :premises (@p208)) % 0.38/0.56 (step-pop @p210 :rule scope :premises (@p209)) % 0.38/0.56 (step @p174 :rule process_scope :premises (@p210) :args (@t52)) % 0.38/0.56 (step @p178 :rule implies_elim :premises (@p174)) % 0.38/0.56 (step @p179 :rule resolution :premises (@p178 @p166) :args (true @t52)) % 0.38/0.56 (step @p180 :rule not_and :premises (@p179)) % 0.38/0.56 (step @p181 :rule eq_resolve :premises (@p180 @p121)) % 0.38/0.56 (step @p182 false :rule chain_m_resolution :premises (@p181 @p117 @p35 @p20) :args (false (@list false true true) (@list @t26 @t42 @t43))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------