%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYP116_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 09:15:29 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.54s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYP116_1 : TPTP v9.3.0. Released v9.3.0. % 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 : n002.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 01:13:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.48 %----Proving TF0_ARI % 0.28/0.50 --- Run --finite-model-find --decision=internal at 45... % 0.28/0.54 % SZS status Unsatisfiable % 0.28/0.54 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-const tptp.r (-> Int Bool)) % 0.28/0.55 (declare-const tptp.q (-> Int Bool)) % 0.28/0.55 (declare-const tptp.npb Int) % 0.28/0.55 (declare-const tptp.p (-> Int Bool)) % 0.28/0.55 (declare-const tptp.npa Int) % 0.28/0.55 (define @t1 () (tptp.p tptp.npa)) % 0.28/0.55 (define @t2 () (>= tptp.npa 0)) % 0.28/0.55 (define @t3 () (and @t2 @t1)) % 0.28/0.55 (define @t4 () (tptp.p tptp.npb)) % 0.28/0.55 (define @t5 () (>= tptp.npb 0)) % 0.28/0.55 (define @t6 () (tptp.q tptp.npa)) % 0.28/0.55 (define @t7 () (and (< tptp.npa 0) @t6)) % 0.28/0.55 (define @t8 () (tptp.q tptp.npb)) % 0.28/0.55 (define @t9 () (=> (< tptp.npb 0) @t8)) % 0.28/0.55 (define @t10 () (@var "X" Int)) % 0.28/0.55 (define @t11 () (tptp.r @t10)) % 0.28/0.55 (define @t12 () (= tptp.npa tptp.npb)) % 0.28/0.55 (define @t13 () (not @t12)) % 0.28/0.55 (define @t14 () (and @t13 @t11)) % 0.28/0.55 (define @t15 () (@list @t10)) % 0.28/0.55 (define @t16 () (forall @t15 (=> @t14 false))) % 0.28/0.55 (define @t17 () (forall @t15 (=> true @t11))) % 0.28/0.55 (define @t18 () (not @t11)) % 0.28/0.55 (define @t19 () (forall @t15 @t18)) % 0.28/0.55 (define @t20 () (@quantifiers_skolemize @t19 0)) % 0.28/0.55 (define @t21 () (@list @t20)) % 0.28/0.55 (define @t22 () (tptp.r @t20)) % 0.28/0.55 (define @t23 () (@list false)) % 0.28/0.55 (define @t24 () (not @t6)) % 0.28/0.55 (define @t25 () (not @t2)) % 0.28/0.55 (define @t26 () (not @t25)) % 0.28/0.55 (define @t27 () (not @t5)) % 0.28/0.55 (define @t28 () (* -1 0)) % 0.28/0.55 (define @t29 () (+ @t28 @t28 -1)) % 0.28/0.55 (define @t30 () (* -1 tptp.npa)) % 0.28/0.55 (define @t31 () (+ @t30 tptp.npb)) % 0.28/0.55 (define @t32 () (* -1 tptp.npb)) % 0.28/0.55 (define @t33 () (+ tptp.npa @t32)) % 0.28/0.55 (define @t34 () (* -1 @t33)) % 0.28/0.55 (define @t35 () (+ @t32 @t34 tptp.npa)) % 0.28/0.55 (define @t36 () (= @t33 0)) % 0.28/0.55 (define @t37 () (= (* 1 (- @t33 0)) (* 1 (- tptp.npa tptp.npb)))) % 0.28/0.55 (define @t38 () (= @t36 @t12)) % 0.28/0.55 (define @t39 () (< -1 0)) % 0.28/0.55 (define @t40 () (not @t27)) % 0.28/0.55 (define @t41 () (not @t8)) % 0.28/0.55 (define @t42 () (and @t12 @t24)) % 0.28/0.55 (define @t43 () (not @t1)) % 0.28/0.55 (define @t44 () (+ 0 0 @t28)) % 0.28/0.55 (define @t45 () (+ @t30 @t32 tptp.npb tptp.npa)) % 0.28/0.55 (define @t46 () (+ tptp.npb @t33 @t30)) % 0.28/0.55 (define @t47 () (>= @t46 @t44)) % 0.28/0.55 (define @t48 () (not @t4)) % 0.28/0.55 (define @t49 () (and @t12 @t43)) % 0.28/0.55 (assume @p1 (=> @t3 false)) % 0.28/0.55 (assume @p2 (=> @t5 @t4)) % 0.28/0.55 (assume @p3 (=> @t7 false)) % 0.28/0.55 (assume @p4 @t9) % 0.28/0.55 (assume @p5 @t16) % 0.28/0.55 (assume @p6 @t17) % 0.28/0.55 (step @p7 :rule bool-impl-true2 :args (@t11)) % 0.28/0.55 (step @p8 :rule cong :premises (@p7) :args (@t17)) % 0.28/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.28/0.55 (step @p10 :rule instantiate :premises (@p9) :args (@t21)) % 0.28/0.55 (assume-push @p190 @t19) % 0.28/0.55 (step @p12 :rule instantiate :premises (@p190) :args (@t21)) % 0.28/0.55 (step-pop @p191 :rule scope :premises (@p12)) % 0.28/0.55 (step @p13 :rule process_scope :premises (@p191) :args ((not @t22))) % 0.28/0.55 (step @p15 :rule implies_elim :premises (@p13)) % 0.28/0.55 (step @p16 :rule chain_m_resolution :premises (@p15 @p10) :args ((not @t19) @t23 (@list @t22))) % 0.28/0.55 (step @p17 :rule quant-miniscope-or :args ((= (forall @t15 (or @t12 @t18)) (or @t12 @t19)))) % 0.28/0.55 (step @p18 :rule refl :args (@t18)) % 0.28/0.55 (step @p19 :rule bool-double-not-elim :args (@t12)) % 0.28/0.55 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t13) @t18))) % 0.28/0.55 (step @p21 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 0.28/0.55 (step @p22 :rule trans :premises (@p21 @p20)) % 0.28/0.55 (step @p23 :rule cong :premises (@p22) :args ((forall @t15 (not @t14)))) % 0.28/0.55 (step @p24 :rule trans :premises (@p23 @p17)) % 0.28/0.55 (step @p25 :rule bool-impl-false1 :args (@t14)) % 0.28/0.55 (step @p26 :rule cong :premises (@p25) :args (@t16)) % 0.28/0.55 (step @p27 :rule trans :premises (@p26 @p24)) % 0.28/0.55 (step @p28 :rule eq_resolve :premises (@p5 @p27)) % 0.28/0.55 (step @p29 :rule chain_m_resolution :premises (@p28 @p16) :args (@t12 (@list true) (@list @t19))) % 0.28/0.55 (step @p30 :rule refl :args (@t24)) % 0.28/0.55 (step @p31 :rule bool-double-not-elim :args (@t2)) % 0.28/0.55 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t26 @t24))) % 0.28/0.55 (step @p33 :rule refl :args (@t6)) % 0.28/0.55 (step @p34 :rule arith-elim-lt :args (tptp.npa 0)) % 0.28/0.55 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t7)) % 0.28/0.55 (step @p36 :rule cong :premises (@p35) :args ((not @t7))) % 0.28/0.55 (step @p37 :rule bool-impl-false1 :args (@t7)) % 0.28/0.55 (step @p38 :rule trans :premises (@p37 @p36)) % 0.28/0.55 (step @p39 :rule eq_resolve :premises (@p3 @p38)) % 0.28/0.55 (step @p40 :rule not_and :premises (@p39)) % 0.28/0.55 (step @p41 :rule eq_resolve :premises (@p40 @p32)) % 0.28/0.55 (step @p42 :rule refl :args (@t27)) % 0.28/0.55 (step @p43 :rule refl :args (@t13)) % 0.28/0.55 (step @p44 :rule nary_cong :premises (@p43 @p31 @p42) :args ((or @t13 @t26 @t27))) % 0.28/0.55 (assume-push @p192 @t12) % 0.28/0.55 (assume-push @p193 @t25) % 0.28/0.55 (assume-push @p194 @t5) % 0.28/0.55 (step @p48 :rule evaluate :args ((<= 0 -1))) % 0.28/0.55 (step @p49 :rule evaluate :args ((+ 0 0 -1))) % 0.28/0.55 (step @p50 :rule refl :args (-1)) % 0.28/0.55 (step @p51 :rule evaluate :args (@t28)) % 0.28/0.55 (step @p52 :rule nary_cong :premises (@p51 @p51 @p50) :args (@t29)) % 0.28/0.55 (step @p53 :rule trans :premises (@p52 @p49)) % 0.28/0.55 (step @p54 :rule arith_poly_norm :args ((= (+ @t32 @t31 tptp.npa) 0))) % 0.28/0.55 (step @p55 :rule refl :args (tptp.npa)) % 0.28/0.55 (step @p56 :rule arith_poly_norm :args ((= @t34 @t31))) % 0.28/0.55 (step @p57 :rule refl :args (@t32)) % 0.28/0.55 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55) :args (@t35)) % 0.28/0.55 (step @p59 :rule trans :premises (@p58 @p54)) % 0.28/0.55 (step @p60 :rule cong :premises (@p59 @p53) :args ((<= @t35 @t29))) % 0.28/0.55 (step @p61 :rule trans :premises (@p60 @p48)) % 0.28/0.55 (step @p62 :rule symm :premises (@p34)) % 0.28/0.55 (step @p63 :rule eq_resolve :premises (@p193 @p62)) % 0.28/0.55 (step @p64 :rule int_tight_ub :premises (@p63)) % 0.28/0.55 (step @p65 :rule arith_mult_neg :args (-1 @t36)) % 0.28/0.55 (step @p66 :rule arith_poly_norm :args (@t37)) % 0.28/0.55 (step @p67 :rule arith_poly_norm_rel :premises (@p66) :args (@t38)) % 0.28/0.55 (step @p68 :rule symm :premises (@p67)) % 0.28/0.55 (step @p69 :rule eq_resolve :premises (@p192 @p68)) % 0.28/0.55 (step @p70 :rule evaluate :args (@t39)) % 0.28/0.55 (step @p71 :rule true_elim :premises (@p70)) % 0.28/0.55 (step @p72 :rule and_intro :premises (@p71 @p69)) % 0.28/0.55 (step @p73 :rule modus_ponens :premises (@p72 @p65)) % 0.28/0.55 (step @p74 :rule arith_mult_neg :args (-1 @t5)) % 0.28/0.55 (step @p75 :rule and_intro :premises (@p71 @p194)) % 0.28/0.55 (step @p76 :rule modus_ponens :premises (@p75 @p74)) % 0.28/0.55 (step @p77 :rule arith_sum_ub :premises (@p76 @p73 @p64)) % 0.28/0.55 (step @p78 false :rule eq_resolve :premises (@p77 @p61)) % 0.28/0.55 (step-pop @p195 :rule scope :premises (@p78)) % 0.28/0.55 (step-pop @p196 :rule scope :premises (@p195)) % 0.28/0.55 (step-pop @p197 :rule scope :premises (@p196)) % 0.28/0.55 (step @p79 :rule process_scope :premises (@p197) :args (false)) % 0.28/0.55 (step @p83 :rule not_and :premises (@p79)) % 0.28/0.55 (step @p84 :rule eq_resolve :premises (@p83 @p44)) % 0.28/0.55 (step @p85 :rule reordering :premises (@p84) :args ((or @t2 @t13 @t27))) % 0.28/0.55 (step @p86 :rule refl :args (@t8)) % 0.28/0.55 (step @p87 :rule bool-double-not-elim :args (@t5)) % 0.28/0.55 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t40 @t8))) % 0.28/0.55 (step @p89 :rule arith-elim-lt :args (tptp.npb 0)) % 0.28/0.55 (step @p90 :rule cong :premises (@p89 @p86) :args (@t9)) % 0.28/0.55 (step @p91 :rule eq_resolve :premises (@p4 @p90)) % 0.28/0.55 (step @p92 :rule implies_elim :premises (@p91)) % 0.28/0.55 (step @p93 :rule eq_resolve :premises (@p92 @p88)) % 0.28/0.55 (step @p94 :rule refl :args (@t41)) % 0.28/0.55 (step @p95 :rule bool-double-not-elim :args (@t6)) % 0.28/0.55 (step @p96 :rule nary_cong :premises (@p43 @p95 @p94) :args ((or @t13 (not @t24) @t41))) % 0.28/0.55 (assume-push @p198 @t12) % 0.28/0.55 (assume-push @p199 @t24) % 0.28/0.55 (assume-push @p200 @t24) % 0.28/0.55 (assume-push @p201 @t12) % 0.28/0.55 (step @p101 :rule false_intro :premises (@p199)) % 0.28/0.55 (step @p102 :rule symm :premises (@p198)) % 0.28/0.55 (step @p103 :rule cong :premises (@p102) :args (@t8)) % 0.28/0.55 (step @p104 :rule trans :premises (@p103 @p101)) % 0.28/0.55 (step @p105 :rule false_elim :premises (@p104)) % 0.28/0.55 (step-pop @p202 :rule scope :premises (@p105)) % 0.28/0.55 (step-pop @p203 :rule scope :premises (@p202)) % 0.28/0.55 (step @p106 :rule process_scope :premises (@p203) :args (@t41)) % 0.28/0.55 (step @p109 :rule and_intro :premises (@p199 @p198)) % 0.28/0.55 (step @p110 :rule modus_ponens :premises (@p109 @p106)) % 0.28/0.55 (step-pop @p204 :rule scope :premises (@p110)) % 0.28/0.55 (step-pop @p205 :rule scope :premises (@p204)) % 0.28/0.55 (step @p111 :rule process_scope :premises (@p205) :args (@t41)) % 0.28/0.55 (step @p114 :rule implies_elim :premises (@p111)) % 0.28/0.55 (step @p115 :rule cnf_and_neg :args (@t42)) % 0.28/0.55 (step @p116 :rule resolution :premises (@p115 @p114) :args (true @t42)) % 0.28/0.55 (step @p117 :rule eq_resolve :premises (@p116 @p96)) % 0.28/0.55 (step @p118 :rule reordering :premises (@p117) :args ((or @t6 @t13 @t41))) % 0.28/0.55 (step @p119 :rule chain_m_resolution :premises (@p118 @p93 @p85 @p41) :args ((or @t2 @t13) (@list false true true) (@list @t8 @t5 @t6))) % 0.28/0.55 (step @p120 :rule chain_m_resolution :premises (@p119 @p29) :args (@t2 @t23 (@list @t12))) % 0.28/0.55 (step @p121 :rule bool-impl-false1 :args (@t3)) % 0.28/0.55 (step @p122 :rule eq_resolve :premises (@p1 @p121)) % 0.28/0.55 (step @p123 :rule not_and :premises (@p122)) % 0.28/0.55 (step @p124 :rule chain_m_resolution :premises (@p123 @p120) :args (@t43 @t23 (@list @t2))) % 0.28/0.55 (step @p125 :rule refl :args (@t25)) % 0.28/0.55 (step @p126 :rule nary_cong :premises (@p43 @p125 @p87) :args ((or @t13 @t25 @t40))) % 0.28/0.55 (assume-push @p206 @t12) % 0.28/0.55 (assume-push @p207 @t2) % 0.28/0.55 (assume-push @p208 @t27) % 0.28/0.55 (step @p130 :rule evaluate :args ((not true))) % 0.28/0.55 (step @p131 :rule evaluate :args ((>= 0 0))) % 0.28/0.55 (step @p132 :rule evaluate :args ((+ 0 0 0))) % 0.28/0.55 (step @p51 :rule evaluate :args (@t28)) % 0.28/0.55 (step @p133 :rule refl :args (0)) % 0.28/0.55 (step @p134 :rule nary_cong :premises (@p133 @p133 @p51) :args (@t44)) % 0.28/0.55 (step @p135 :rule trans :premises (@p134 @p132)) % 0.28/0.55 (step @p136 :rule arith_poly_norm :args ((= @t45 0))) % 0.28/0.55 (step @p137 :rule arith_poly_norm :args ((= @t46 @t45))) % 0.28/0.55 (step @p138 :rule trans :premises (@p137 @p136)) % 0.28/0.55 (step @p139 :rule cong :premises (@p138 @p135) :args (@t47)) % 0.28/0.55 (step @p140 :rule trans :premises (@p139 @p131)) % 0.28/0.55 (step @p141 :rule cong :premises (@p140) :args ((not @t47))) % 0.28/0.55 (step @p142 :rule trans :premises (@p141 @p130)) % 0.28/0.55 (step @p143 :rule arith-elim-lt :args (@t46 @t44)) % 0.28/0.55 (step @p144 :rule trans :premises (@p143 @p142)) % 0.28/0.55 (step @p145 :rule arith_mult_neg :args (-1 @t2)) % 0.28/0.55 (step @p70 :rule evaluate :args (@t39)) % 0.28/0.55 (step @p71 :rule true_elim :premises (@p70)) % 0.28/0.55 (step @p146 :rule and_intro :premises (@p71 @p207)) % 0.28/0.55 (step @p147 :rule modus_ponens :premises (@p146 @p145)) % 0.28/0.55 (step @p66 :rule arith_poly_norm :args (@t37)) % 0.28/0.55 (step @p67 :rule arith_poly_norm_rel :premises (@p66) :args (@t38)) % 0.28/0.55 (step @p68 :rule symm :premises (@p67)) % 0.28/0.55 (step @p148 :rule eq_resolve :premises (@p206 @p68)) % 0.28/0.55 (step @p149 :rule symm :premises (@p89)) % 0.28/0.55 (step @p150 :rule eq_resolve :premises (@p208 @p149)) % 0.28/0.55 (step @p151 :rule arith_sum_ub :premises (@p150 @p148 @p147)) % 0.28/0.55 (step @p152 false :rule eq_resolve :premises (@p151 @p144)) % 0.28/0.55 (step-pop @p209 :rule scope :premises (@p152)) % 0.28/0.55 (step-pop @p210 :rule scope :premises (@p209)) % 0.28/0.55 (step-pop @p211 :rule scope :premises (@p210)) % 0.28/0.55 (step @p153 :rule process_scope :premises (@p211) :args (false)) % 0.28/0.55 (step @p157 :rule not_and :premises (@p153)) % 0.28/0.55 (step @p158 :rule eq_resolve :premises (@p157 @p126)) % 0.28/0.55 (step @p159 :rule reordering :premises (@p158) :args ((or @t5 @t13 @t25))) % 0.28/0.55 (step @p160 :rule chain_m_resolution :premises (@p159 @p29 @p120) :args (@t5 (@list false false) (@list @t12 @t2))) % 0.28/0.55 (step @p161 :rule implies_elim :premises (@p2)) % 0.28/0.55 (step @p162 :rule reordering :premises (@p161) :args ((or @t4 @t27))) % 0.28/0.55 (step @p163 :rule chain_m_resolution :premises (@p162 @p160) :args (@t4 @t23 (@list @t5))) % 0.28/0.55 (step @p164 :rule refl :args (@t48)) % 0.28/0.55 (step @p165 :rule bool-double-not-elim :args (@t1)) % 0.28/0.55 (step @p166 :rule nary_cong :premises (@p43 @p165 @p164) :args ((or @t13 (not @t43) @t48))) % 0.28/0.55 (assume-push @p212 @t12) % 0.28/0.55 (assume-push @p213 @t43) % 0.28/0.55 (assume-push @p214 @t43) % 0.28/0.55 (assume-push @p215 @t12) % 0.28/0.55 (step @p171 :rule false_intro :premises (@p213)) % 0.28/0.55 (step @p172 :rule symm :premises (@p212)) % 0.28/0.55 (step @p173 :rule cong :premises (@p172) :args (@t4)) % 0.28/0.55 (step @p174 :rule trans :premises (@p173 @p171)) % 0.28/0.55 (step @p175 :rule false_elim :premises (@p174)) % 0.28/0.55 (step-pop @p216 :rule scope :premises (@p175)) % 0.28/0.55 (step-pop @p217 :rule scope :premises (@p216)) % 0.28/0.55 (step @p176 :rule process_scope :premises (@p217) :args (@t48)) % 0.28/0.55 (step @p179 :rule and_intro :premises (@p213 @p212)) % 0.28/0.55 (step @p180 :rule modus_ponens :premises (@p179 @p176)) % 0.28/0.55 (step-pop @p218 :rule scope :premises (@p180)) % 0.28/0.55 (step-pop @p219 :rule scope :premises (@p218)) % 0.28/0.55 (step @p181 :rule process_scope :premises (@p219) :args (@t48)) % 0.28/0.55 (step @p184 :rule implies_elim :premises (@p181)) % 0.28/0.55 (step @p185 :rule cnf_and_neg :args (@t49)) % 0.28/0.55 (step @p186 :rule resolution :premises (@p185 @p184) :args (true @t49)) % 0.28/0.55 (step @p187 :rule eq_resolve :premises (@p186 @p166)) % 0.28/0.55 (step @p188 :rule reordering :premises (@p187) :args ((or @t1 @t13 @t48))) % 0.28/0.55 (step @p189 false :rule chain_m_resolution :premises (@p188 @p163 @p124 @p29) :args (false (@list false true false) (@list @t4 @t1 @t12))) % 0.28/0.55 ) % 0.37/0.55 % SZS output end Proof % 0.37/0.55 % cvc5 exiting %------------------------------------------------------------------------------