%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL074-3 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:09:55 AM UTC 2026 % Result : Unsatisfiable 2.61s 2.85s % Output : Proof 2.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL074-3 : TPTP v9.2.1. Released v1.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n015.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 20:21:19 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.61/2.85 % SZS status Unsatisfiable % 2.61/2.85 % SZS output start Proof % 2.61/2.86 ( % 2.61/2.86 (declare-sort $$unsorted 0) % 2.61/2.86 (declare-const tptp.k_projection2 $$unsorted) % 2.61/2.86 (declare-const tptp.n (-> $$unsorted $$unsorted $$unsorted)) % 2.61/2.86 (declare-const tptp.s $$unsorted) % 2.61/2.86 (declare-const tptp.eq $$unsorted) % 2.61/2.86 (declare-const tptp.abstraction $$unsorted) % 2.61/2.86 (declare-const tptp.projection2 $$unsorted) % 2.61/2.86 (declare-const tptp.projection1 $$unsorted) % 2.61/2.86 (declare-const tptp.k_projection1 $$unsorted) % 2.61/2.86 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 2.61/2.86 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 2.61/2.86 (declare-const tptp.k $$unsorted) % 2.61/2.86 (define @t1 () (@var "X" $$unsorted)) % 2.61/2.86 (define @t2 () (@var "Y" $$unsorted)) % 2.61/2.86 (define @t3 () (tptp.apply (tptp.apply tptp.k @t1) @t2)) % 2.61/2.86 (define @t4 () (@list @t1 @t2)) % 2.61/2.86 (define @t5 () (forall @t4 (= @t3 @t1))) % 2.61/2.86 (define @t6 () (tptp.pair @t1 @t2)) % 2.61/2.86 (define @t7 () (tptp.pair (tptp.apply tptp.projection1 @t1) (tptp.apply tptp.projection2 @t1))) % 2.61/2.86 (define @t8 () (@list @t1)) % 2.61/2.86 (define @t9 () (forall @t8 (= @t7 @t1))) % 2.61/2.86 (define @t10 () (@var "Z" $$unsorted)) % 2.61/2.86 (define @t11 () (tptp.apply @t2 @t10)) % 2.61/2.86 (define @t12 () (@list @t1 @t2 @t10)) % 2.61/2.86 (define @t13 () (tptp.apply tptp.eq (tptp.pair @t1 @t1))) % 2.61/2.86 (define @t14 () (forall @t8 (= @t13 tptp.projection1))) % 2.61/2.86 (define @t15 () (tptp.apply tptp.eq @t6)) % 2.61/2.86 (define @t16 () (= @t1 @t2)) % 2.61/2.86 (define @t17 () (or @t16 (= @t15 tptp.projection2))) % 2.61/2.86 (define @t18 () (forall @t4 @t17)) % 2.61/2.86 (define @t19 () (tptp.n @t1 @t2)) % 2.61/2.86 (define @t20 () (= tptp.projection1 tptp.projection2)) % 2.61/2.86 (define @t21 () (not @t20)) % 2.61/2.86 (define @t22 () (tptp.apply tptp.k tptp.projection1)) % 2.61/2.86 (define @t23 () (tptp.apply tptp.k tptp.projection2)) % 2.61/2.86 (define @t24 () (tptp.apply tptp.k tptp.s)) % 2.61/2.86 (define @t25 () (tptp.pair @t24 @t23)) % 2.61/2.86 (define @t26 () (tptp.apply tptp.eq @t25)) % 2.61/2.86 (define @t27 () (= tptp.s @t26)) % 2.61/2.86 (define @t28 () (= tptp.projection2 @t26)) % 2.61/2.86 (define @t29 () (or (= @t24 @t23) @t28)) % 2.61/2.86 (define @t30 () (forall @t4 (or @t16 (= tptp.projection2 @t15)))) % 2.61/2.86 (define @t31 () (= @t23 @t24)) % 2.61/2.86 (define @t32 () (or @t31 @t28)) % 2.61/2.86 (define @t33 () (and @t27 @t28)) % 2.61/2.86 (define @t34 () (not @t27)) % 2.61/2.86 (define @t35 () (tptp.apply tptp.projection2 tptp.k)) % 2.61/2.86 (define @t36 () (tptp.apply tptp.projection1 tptp.k)) % 2.61/2.86 (define @t37 () (tptp.apply (tptp.pair tptp.projection2 tptp.projection2) tptp.projection1)) % 2.61/2.86 (define @t38 () (tptp.apply @t23 @t37)) % 2.61/2.86 (define @t39 () (= tptp.projection2 @t38)) % 2.61/2.86 (define @t40 () (not @t39)) % 2.61/2.86 (define @t41 () (= tptp.projection1 (tptp.apply @t22 @t37))) % 2.61/2.86 (define @t42 () (not @t41)) % 2.61/2.86 (define @t43 () (tptp.pair @t36 @t35)) % 2.61/2.86 (define @t44 () (tptp.apply @t43 tptp.projection2)) % 2.61/2.86 (define @t45 () (= @t44 (tptp.pair (tptp.apply @t36 tptp.projection2) (tptp.apply @t35 tptp.projection2)))) % 2.61/2.86 (define @t46 () (not @t45)) % 2.61/2.86 (define @t47 () (= tptp.k @t43)) % 2.61/2.86 (define @t48 () (not @t47)) % 2.61/2.86 (define @t49 () (= tptp.projection1 (tptp.apply tptp.eq (tptp.pair @t23 @t23)))) % 2.61/2.86 (define @t50 () (not @t49)) % 2.61/2.86 (define @t51 () (not @t31)) % 2.61/2.86 (define @t52 () (= @t38 tptp.projection2)) % 2.61/2.86 (define @t53 () (and @t40 @t39)) % 2.61/2.86 (assume @p1 @t5) % 2.61/2.86 (assume @p2 (forall @t4 (= (tptp.apply tptp.projection1 @t6) @t1))) % 2.61/2.86 (assume @p3 (forall @t4 (= (tptp.apply tptp.projection2 @t6) @t2))) % 2.61/2.86 (assume @p4 @t9) % 2.61/2.86 (assume @p5 (forall @t12 (= (tptp.apply @t6 @t10) (tptp.pair (tptp.apply @t1 @t10) @t11)))) % 2.61/2.86 (assume @p6 (forall @t12 (= (tptp.apply (tptp.apply (tptp.apply tptp.abstraction @t1) @t2) @t10) (tptp.apply (tptp.apply @t1 (tptp.apply tptp.k @t10)) @t11)))) % 2.61/2.86 (assume @p7 @t14) % 2.61/2.86 (assume @p8 @t18) % 2.61/2.86 (assume @p9 (forall @t4 (or @t16 (not (= (tptp.apply @t1 @t19) (tptp.apply @t2 @t19)))))) % 2.61/2.86 (assume @p10 @t21) % 2.61/2.86 (assume @p11 (= @t22 tptp.k_projection1)) % 2.61/2.86 (assume @p12 (= @t23 tptp.k_projection2)) % 2.61/2.86 (assume @p13 @t27) % 2.61/2.86 (step @p14 :rule eq-symm :args (@t15 tptp.projection2)) % 2.61/2.86 (step @p15 :rule refl :args (@t16)) % 2.61/2.86 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t17)) % 2.61/2.86 (step @p17 :rule cong :premises (@p16) :args (@t18)) % 2.61/2.86 (step @p18 :rule eq_resolve :premises (@p8 @p17)) % 2.61/2.86 (step @p19 :rule refl :args (@t28)) % 2.61/2.86 (step @p20 :rule eq-symm :args (@t24 @t23)) % 2.61/2.86 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t29)) % 2.61/2.86 (step @p22 :rule refl :args (@t30)) % 2.61/2.86 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t30 @t29))) % 2.61/2.86 (assume-push @p160 @t30) % 2.61/2.86 (step @p25 :rule instantiate :premises (@p18) :args ((@list @t24 @t23))) % 2.61/2.86 (step-pop @p161 :rule scope :premises (@p25)) % 2.61/2.86 (step @p26 :rule process_scope :premises (@p161) :args (@t29)) % 2.61/2.86 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 2.61/2.86 (step @p29 :rule implies_elim :premises (@p28)) % 2.61/2.86 (step @p30 :rule chain_m_resolution :premises (@p29 @p18) :args (@t32 (@list false) (@list @t30))) % 2.61/2.86 (step @p31 :rule cnf_or_pos :args (@t32)) % 2.61/2.86 (step @p32 :rule reordering :premises (@p31) :args ((or @t28 @t31 (not @t32)))) % 2.61/2.86 (assume-push @p162 @t27) % 2.61/2.86 (assume-push @p163 @t28) % 2.61/2.86 (assume-push @p164 @t27) % 2.61/2.86 (assume-push @p165 @t28) % 2.61/2.86 (step @p37 :rule symm :premises (@p13)) % 2.61/2.86 (step @p38 :rule trans :premises (@p163 @p37)) % 2.61/2.86 (step @p39 :rule refl :args (tptp.k)) % 2.61/2.86 (step @p40 :rule cong :premises (@p39 @p38) :args (@t23)) % 2.61/2.86 (step-pop @p166 :rule scope :premises (@p40)) % 2.61/2.86 (step-pop @p167 :rule scope :premises (@p166)) % 2.61/2.86 (step @p41 :rule process_scope :premises (@p167) :args (@t31)) % 2.61/2.86 (step @p44 :rule and_intro :premises (@p13 @p163)) % 2.61/2.86 (step @p45 :rule modus_ponens :premises (@p44 @p41)) % 2.61/2.86 (step-pop @p168 :rule scope :premises (@p45)) % 2.61/2.86 (step-pop @p169 :rule scope :premises (@p168)) % 2.61/2.86 (step @p46 :rule process_scope :premises (@p169) :args (@t31)) % 2.61/2.86 (step @p49 :rule implies_elim :premises (@p46)) % 2.61/2.86 (step @p50 :rule cnf_and_neg :args (@t33)) % 2.61/2.86 (step @p51 :rule resolution :premises (@p50 @p49) :args (true @t33)) % 2.61/2.86 (step @p52 :rule reordering :premises (@p51) :args ((or @t34 @t31 (not @t28)))) % 2.61/2.86 (step @p53 :rule chain_m_resolution :premises (@p52 @p13 @p32 @p30) :args (@t31 (@list false false false) (@list @t27 @t28 @t32))) % 2.61/2.86 (step @p54 :rule eq-symm :args (@t13 tptp.projection1)) % 2.61/2.86 (step @p55 :rule cong :premises (@p54) :args (@t14)) % 2.61/2.86 (step @p56 :rule eq_resolve :premises (@p7 @p55)) % 2.61/2.86 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t23))) % 2.61/2.86 (step @p58 :rule eq-symm :args (@t7 @t1)) % 2.61/2.86 (step @p59 :rule cong :premises (@p58) :args (@t9)) % 2.61/2.86 (step @p60 :rule eq_resolve :premises (@p4 @p59)) % 2.61/2.86 (step @p61 :rule instantiate :premises (@p60) :args ((@list tptp.k))) % 2.61/2.86 (step @p62 :rule instantiate :premises (@p5) :args ((@list @t36 @t35 tptp.projection2))) % 2.61/2.86 (step @p63 :rule eq-symm :args (@t3 @t1)) % 2.61/2.86 (step @p64 :rule cong :premises (@p63) :args (@t5)) % 2.61/2.86 (step @p65 :rule eq_resolve :premises (@p1 @p64)) % 2.61/2.86 (step @p66 :rule instantiate :premises (@p65) :args ((@list tptp.projection1 @t37))) % 2.61/2.86 (step @p67 :rule instantiate :premises (@p65) :args ((@list tptp.projection2 @t37))) % 2.61/2.86 (step @p68 :rule refl :args (@t40)) % 2.61/2.86 (step @p69 :rule refl :args (@t42)) % 2.61/2.86 (step @p70 :rule refl :args (@t46)) % 2.61/2.86 (step @p71 :rule refl :args (@t48)) % 2.61/2.86 (step @p72 :rule refl :args (@t50)) % 2.61/2.86 (step @p73 :rule refl :args (@t51)) % 2.61/2.86 (step @p74 :rule refl :args (@t34)) % 2.61/2.86 (step @p75 :rule bool-double-not-elim :args (@t20)) % 2.61/2.86 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68) :args ((or (not @t21) @t34 @t51 @t50 @t48 @t46 @t42 @t40))) % 2.61/2.86 (assume-push @p170 @t40) % 2.61/2.86 (assume-push @p171 @t39) % 2.61/2.86 (step @p79 :rule evaluate :args ((= false true))) % 2.61/2.86 (step @p80 :rule true_intro :premises (@p67)) % 2.61/2.86 (step @p81 :rule false_intro :premises (@p170)) % 2.61/2.86 (step @p82 :rule symm :premises (@p81)) % 2.61/2.86 (step @p83 :rule trans :premises (@p82 @p80)) % 2.61/2.86 (step @p84 false :rule eq_resolve :premises (@p83 @p79)) % 2.61/2.86 (step-pop @p172 :rule scope :premises (@p84)) % 2.61/2.86 (step-pop @p173 :rule scope :premises (@p172)) % 2.61/2.86 (step @p85 :rule process_scope :premises (@p173) :args (false)) % 2.61/2.86 (assume-push @p174 @t21) % 2.61/2.86 (assume-push @p175 @t27) % 2.61/2.86 (assume-push @p176 @t31) % 2.61/2.86 (assume-push @p177 @t49) % 2.61/2.86 (assume-push @p178 @t47) % 2.61/2.86 (assume-push @p179 @t45) % 2.61/2.86 (assume-push @p180 @t41) % 2.61/2.86 (assume-push @p181 @t39) % 2.61/2.86 (assume-push @p182 @t41) % 2.61/2.86 (assume-push @p183 @t49) % 2.61/2.86 (assume-push @p184 @t31) % 2.61/2.86 (assume-push @p185 @t27) % 2.61/2.86 (assume-push @p186 @t47) % 2.61/2.86 (assume-push @p187 @t45) % 2.61/2.86 (assume-push @p188 @t21) % 2.61/2.86 (step @p103 :rule bool-eq-false :args (@t39)) % 2.61/2.86 (step @p104 :rule symm :premises (@p103)) % 2.61/2.86 (step @p105 :rule eq-symm :args (@t38 tptp.projection2)) % 2.61/2.86 (step @p106 :rule cong :premises (@p105) :args ((not @t52))) % 2.61/2.86 (step @p107 :rule bool-eq-false :args (@t52)) % 2.61/2.86 (step @p108 :rule trans :premises (@p107 @p106)) % 2.61/2.86 (step @p109 :rule trans :premises (@p108 @p104)) % 2.61/2.86 (step @p110 :rule false_intro :premises (@p10)) % 2.61/2.86 (step @p111 :rule refl :args (tptp.projection2)) % 2.61/2.86 (step @p112 :rule symm :premises (@p66)) % 2.61/2.86 (step @p113 :rule refl :args (@t37)) % 2.61/2.86 (step @p114 :rule symm :premises (@p57)) % 2.61/2.86 (step @p115 :rule refl :args (@t23)) % 2.61/2.86 (step @p116 :rule symm :premises (@p176)) % 2.61/2.86 (step @p117 :rule cong :premises (@p116 @p115) :args (@t25)) % 2.61/2.86 (step @p118 :rule refl :args (tptp.eq)) % 2.61/2.86 (step @p119 :rule cong :premises (@p118 @p117) :args (@t26)) % 2.61/2.86 (step @p120 :rule trans :premises (@p13 @p119 @p114)) % 2.61/2.86 (step @p39 :rule refl :args (tptp.k)) % 2.61/2.86 (step @p121 :rule cong :premises (@p39 @p120) :args (@t24)) % 2.61/2.86 (step @p122 :rule symm :premises (@p61)) % 2.61/2.86 (step @p123 :rule cong :premises (@p122 @p111) :args (@t44)) % 2.61/2.86 (step @p124 :rule symm :premises (@p62)) % 2.61/2.86 (step @p125 :rule trans :premises (@p124 @p123 @p176 @p121)) % 2.61/2.86 (step @p126 :rule symm :premises (@p123)) % 2.61/2.86 (step @p127 :rule trans :premises (@p126 @p62)) % 2.61/2.86 (step @p128 :rule trans :premises (@p127 @p125)) % 2.61/2.86 (step @p129 :rule cong :premises (@p128 @p113) :args (@t38)) % 2.61/2.86 (step @p130 :rule trans :premises (@p129 @p112)) % 2.61/2.86 (step @p131 :rule cong :premises (@p130 @p111) :args (@t52)) % 2.61/2.86 (step @p132 :rule trans :premises (@p131 @p110)) % 2.61/2.86 (step @p133 :rule eq_resolve :premises (@p132 @p109)) % 2.61/2.86 (step @p134 :rule false_elim :premises (@p133)) % 2.61/2.86 (step-pop @p189 :rule scope :premises (@p134)) % 2.61/2.86 (step-pop @p190 :rule scope :premises (@p189)) % 2.61/2.86 (step-pop @p191 :rule scope :premises (@p190)) % 2.61/2.86 (step-pop @p192 :rule scope :premises (@p191)) % 2.61/2.86 (step-pop @p193 :rule scope :premises (@p192)) % 2.61/2.86 (step-pop @p194 :rule scope :premises (@p193)) % 2.61/2.86 (step-pop @p195 :rule scope :premises (@p194)) % 2.61/2.86 (step @p135 :rule process_scope :premises (@p195) :args (@t40)) % 2.61/2.86 (step @p143 :rule and_intro :premises (@p66 @p57 @p176 @p13 @p61 @p62 @p10)) % 2.61/2.86 (step @p144 :rule modus_ponens :premises (@p143 @p135)) % 2.61/2.86 (step @p145 :rule and_intro :premises (@p144 @p67)) % 2.61/2.86 (step-pop @p196 :rule scope :premises (@p145)) % 2.61/2.86 (step-pop @p197 :rule scope :premises (@p196)) % 2.61/2.86 (step-pop @p198 :rule scope :premises (@p197)) % 2.61/2.86 (step-pop @p199 :rule scope :premises (@p198)) % 2.61/2.86 (step-pop @p200 :rule scope :premises (@p199)) % 2.61/2.86 (step-pop @p201 :rule scope :premises (@p200)) % 2.61/2.86 (step-pop @p202 :rule scope :premises (@p201)) % 2.61/2.86 (step-pop @p203 :rule scope :premises (@p202)) % 2.61/2.86 (step @p146 :rule process_scope :premises (@p203) :args (@t53)) % 2.61/2.86 (step @p155 :rule implies_elim :premises (@p146)) % 2.61/2.86 (step @p156 :rule resolution :premises (@p155 @p85) :args (true @t53)) % 2.61/2.86 (step @p157 :rule not_and :premises (@p156)) % 2.61/2.86 (step @p158 :rule eq_resolve :premises (@p157 @p76)) % 2.61/2.86 (step @p159 false :rule chain_m_resolution :premises (@p158 @p67 @p66 @p62 @p61 @p57 @p53 @p13 @p10) :args (false (@list false false false false false false false true) (@list @t39 @t41 @t45 @t47 @t49 @t31 @t27 @t20))) % 2.61/2.86 ) % 2.61/2.86 % SZS output end Proof % 2.61/2.86 % cvc5 exiting %------------------------------------------------------------------------------