%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL064-3 : TPTP v9.2.1. Bugfixed 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 : n013.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 08:09:53 AM UTC 2026 % Result : Unsatisfiable 0.46s 0.65s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL064-3 : TPTP v9.2.1. Bugfixed v1.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:18:00 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----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... % 0.46/0.65 % SZS status Unsatisfiable % 0.46/0.65 % SZS output start Proof % 0.46/0.65 ( % 0.46/0.65 (declare-sort $$unsorted 0) % 0.46/0.65 (declare-const tptp.z $$unsorted) % 0.46/0.65 (declare-const tptp.x $$unsorted) % 0.46/0.65 (declare-const tptp.y $$unsorted) % 0.46/0.65 (declare-const tptp.t $$unsorted) % 0.46/0.65 (declare-const tptp.b $$unsorted) % 0.46/0.65 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (define @t1 () (@var "Z" $$unsorted)) % 0.46/0.65 (define @t2 () (@var "Y" $$unsorted)) % 0.46/0.65 (define @t3 () (@var "X" $$unsorted)) % 0.46/0.65 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.apply (tptp.apply (tptp.apply tptp.b @t3) @t2) @t1) (tptp.apply @t3 (tptp.apply @t2 @t1))))) % 0.46/0.65 (define @t5 () (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.t @t3) @t2) (tptp.apply @t2 @t3)))) % 0.46/0.65 (define @t6 () (tptp.apply tptp.z tptp.x)) % 0.46/0.65 (define @t7 () (tptp.apply @t6 tptp.y)) % 0.46/0.65 (define @t8 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.t)) % 0.46/0.65 (define @t9 () (tptp.apply tptp.t @t8)) % 0.46/0.65 (define @t10 () (tptp.apply (tptp.apply tptp.b @t9) tptp.b)) % 0.46/0.65 (define @t11 () (tptp.apply (tptp.apply (tptp.apply tptp.b @t10) @t8) tptp.x)) % 0.46/0.65 (define @t12 () (tptp.apply @t11 tptp.y)) % 0.46/0.65 (define @t13 () (tptp.apply @t12 tptp.z)) % 0.46/0.65 (define @t14 () (= @t13 @t7)) % 0.46/0.65 (define @t15 () (tptp.apply tptp.t tptp.y)) % 0.46/0.65 (define @t16 () (tptp.apply @t15 @t6)) % 0.46/0.65 (define @t17 () (= @t16 @t7)) % 0.46/0.65 (define @t18 () (@list tptp.y @t6)) % 0.46/0.65 (define @t19 () (= @t7 @t16)) % 0.46/0.65 (define @t20 () (@list false)) % 0.46/0.65 (define @t21 () (@list @t5)) % 0.46/0.65 (define @t22 () (tptp.apply @t8 tptp.x)) % 0.46/0.65 (define @t23 () (tptp.apply tptp.b @t15)) % 0.46/0.65 (define @t24 () (tptp.apply @t23 tptp.z)) % 0.46/0.65 (define @t25 () (tptp.apply @t24 tptp.x)) % 0.46/0.65 (define @t26 () (= @t25 @t16)) % 0.46/0.65 (define @t27 () (@list @t15 tptp.z tptp.x)) % 0.46/0.65 (define @t28 () (= @t16 @t25)) % 0.46/0.65 (define @t29 () (@list @t4)) % 0.46/0.65 (define @t30 () (tptp.apply @t8 tptp.y)) % 0.46/0.65 (define @t31 () (= @t30 @t23)) % 0.46/0.65 (define @t32 () (@list tptp.b tptp.t tptp.y)) % 0.46/0.65 (define @t33 () (= @t23 @t30)) % 0.46/0.65 (define @t34 () (tptp.apply tptp.b @t22)) % 0.46/0.65 (define @t35 () (tptp.apply tptp.t tptp.x)) % 0.46/0.65 (define @t36 () (tptp.apply @t35 @t24)) % 0.46/0.65 (define @t37 () (= @t36 @t25)) % 0.46/0.65 (define @t38 () (@list tptp.x @t24)) % 0.46/0.65 (define @t39 () (= @t25 @t36)) % 0.46/0.65 (define @t40 () (tptp.apply tptp.b @t35)) % 0.46/0.65 (define @t41 () (tptp.apply (tptp.apply @t40 @t23) tptp.z)) % 0.46/0.65 (define @t42 () (= @t41 @t36)) % 0.46/0.65 (define @t43 () (@list @t35 @t23 tptp.z)) % 0.46/0.65 (define @t44 () (= @t36 @t41)) % 0.46/0.65 (define @t45 () (tptp.apply @t10 @t22)) % 0.46/0.65 (define @t46 () (= @t11 @t45)) % 0.46/0.65 (define @t47 () (= @t22 @t40)) % 0.46/0.65 (define @t48 () (tptp.apply @t9 @t34)) % 0.46/0.65 (define @t49 () (= @t45 @t48)) % 0.46/0.65 (define @t50 () (tptp.apply @t34 @t8)) % 0.46/0.65 (define @t51 () (= @t48 @t50)) % 0.46/0.65 (define @t52 () (tptp.apply @t22 @t30)) % 0.46/0.65 (define @t53 () (= (tptp.apply @t50 tptp.y) @t52)) % 0.46/0.65 (define @t54 () (and @t46 @t19 @t47 @t49 @t28 @t33 @t51 @t39 @t53 @t44)) % 0.46/0.65 (assume @p1 @t4) % 0.46/0.65 (assume @p2 @t5) % 0.46/0.65 (assume @p3 (not @t14)) % 0.46/0.65 (step @p4 :rule instantiate :premises (@p1) :args ((@list @t10 @t8 tptp.x))) % 0.46/0.65 (step @p5 :rule eq-symm :args (@t16 @t7)) % 0.46/0.65 (step @p6 :rule refl :args (@t5)) % 0.46/0.65 (step @p7 :rule cong :premises (@p6 @p5) :args ((=> @t5 @t17))) % 0.46/0.65 (assume-push @p90 @t5) % 0.46/0.65 (step @p9 :rule instantiate :premises (@p2) :args (@t18)) % 0.46/0.65 (step-pop @p91 :rule scope :premises (@p9)) % 0.46/0.65 (step @p10 :rule process_scope :premises (@p91) :args (@t17)) % 0.46/0.65 (step @p12 :rule eq_resolve :premises (@p10 @p7)) % 0.46/0.65 (step @p13 :rule implies_elim :premises (@p12)) % 0.46/0.65 (step @p14 :rule chain_m_resolution :premises (@p13 @p2) :args (@t19 @t20 @t21)) % 0.46/0.65 (step @p15 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.t tptp.x))) % 0.46/0.65 (step @p16 :rule instantiate :premises (@p1) :args ((@list @t9 tptp.b @t22))) % 0.46/0.65 (step @p17 :rule eq-symm :args (@t25 @t16)) % 0.46/0.65 (step @p18 :rule refl :args (@t4)) % 0.46/0.65 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t4 @t26))) % 0.46/0.65 (assume-push @p92 @t4) % 0.46/0.65 (step @p21 :rule instantiate :premises (@p1) :args (@t27)) % 0.46/0.65 (step-pop @p93 :rule scope :premises (@p21)) % 0.46/0.65 (step @p22 :rule process_scope :premises (@p93) :args (@t26)) % 0.46/0.65 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.46/0.65 (step @p25 :rule implies_elim :premises (@p24)) % 0.46/0.65 (step @p26 :rule chain_m_resolution :premises (@p25 @p1) :args (@t28 @t20 @t29)) % 0.46/0.65 (step @p27 :rule eq-symm :args (@t30 @t23)) % 0.46/0.65 (step @p28 :rule cong :premises (@p18 @p27) :args ((=> @t4 @t31))) % 0.46/0.65 (assume-push @p94 @t4) % 0.46/0.65 (step @p30 :rule instantiate :premises (@p1) :args (@t32)) % 0.46/0.65 (step-pop @p95 :rule scope :premises (@p30)) % 0.46/0.65 (step @p31 :rule process_scope :premises (@p95) :args (@t31)) % 0.46/0.65 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.46/0.65 (step @p34 :rule implies_elim :premises (@p33)) % 0.46/0.65 (step @p35 :rule chain_m_resolution :premises (@p34 @p1) :args (@t33 @t20 @t29)) % 0.46/0.65 (step @p36 :rule instantiate :premises (@p2) :args ((@list @t8 @t34))) % 0.46/0.65 (step @p37 :rule eq-symm :args (@t36 @t25)) % 0.46/0.65 (step @p38 :rule cong :premises (@p6 @p37) :args ((=> @t5 @t37))) % 0.46/0.65 (assume-push @p96 @t5) % 0.46/0.65 (step @p40 :rule instantiate :premises (@p2) :args (@t38)) % 0.46/0.65 (step-pop @p97 :rule scope :premises (@p40)) % 0.46/0.65 (step @p41 :rule process_scope :premises (@p97) :args (@t37)) % 0.46/0.65 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.46/0.65 (step @p44 :rule implies_elim :premises (@p43)) % 0.46/0.65 (step @p45 :rule chain_m_resolution :premises (@p44 @p2) :args (@t39 @t20 @t21)) % 0.46/0.65 (step @p46 :rule instantiate :premises (@p1) :args ((@list @t22 @t8 tptp.y))) % 0.46/0.65 (step @p47 :rule eq-symm :args (@t41 @t36)) % 0.46/0.65 (step @p48 :rule cong :premises (@p18 @p47) :args ((=> @t4 @t42))) % 0.46/0.65 (assume-push @p98 @t4) % 0.46/0.65 (step @p50 :rule instantiate :premises (@p1) :args (@t43)) % 0.46/0.65 (step-pop @p99 :rule scope :premises (@p50)) % 0.46/0.65 (step @p51 :rule process_scope :premises (@p99) :args (@t42)) % 0.46/0.65 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 0.46/0.65 (step @p54 :rule implies_elim :premises (@p53)) % 0.46/0.65 (step @p55 :rule chain_m_resolution :premises (@p54 @p1) :args (@t44 @t20 @t29)) % 0.46/0.65 (assume-push @p100 @t46) % 0.46/0.65 (assume-push @p101 @t19) % 0.46/0.65 (assume-push @p102 @t47) % 0.46/0.65 (assume-push @p103 @t49) % 0.46/0.65 (assume-push @p104 @t28) % 0.46/0.65 (assume-push @p105 @t33) % 0.46/0.65 (assume-push @p106 @t51) % 0.46/0.65 (assume-push @p107 @t39) % 0.46/0.65 (assume-push @p108 @t53) % 0.46/0.65 (assume-push @p109 @t44) % 0.46/0.65 (step @p9 :rule instantiate :premises (@p2) :args (@t18)) % 0.46/0.65 (step @p21 :rule instantiate :premises (@p1) :args (@t27)) % 0.46/0.65 (step @p40 :rule instantiate :premises (@p2) :args (@t38)) % 0.46/0.65 (step @p50 :rule instantiate :premises (@p1) :args (@t43)) % 0.46/0.65 (step @p66 :rule refl :args (tptp.z)) % 0.46/0.65 (step @p30 :rule instantiate :premises (@p1) :args (@t32)) % 0.46/0.65 (step @p67 :rule cong :premises (@p15 @p30) :args (@t52)) % 0.46/0.65 (step @p68 :rule refl :args (tptp.y)) % 0.46/0.65 (step @p69 :rule trans :premises (@p4 @p16 @p36)) % 0.46/0.65 (step @p70 :rule cong :premises (@p69 @p68) :args (@t12)) % 0.46/0.65 (step @p71 :rule trans :premises (@p70 @p46 @p67)) % 0.46/0.65 (step @p72 :rule cong :premises (@p71 @p66) :args (@t13)) % 0.46/0.65 (step @p73 :rule trans :premises (@p72 @p50 @p40 @p21 @p9)) % 0.46/0.65 (step-pop @p110 :rule scope :premises (@p73)) % 0.46/0.65 (step-pop @p111 :rule scope :premises (@p110)) % 0.46/0.65 (step-pop @p112 :rule scope :premises (@p111)) % 0.46/0.65 (step-pop @p113 :rule scope :premises (@p112)) % 0.46/0.65 (step-pop @p114 :rule scope :premises (@p113)) % 0.46/0.65 (step-pop @p115 :rule scope :premises (@p114)) % 0.46/0.65 (step-pop @p116 :rule scope :premises (@p115)) % 0.46/0.65 (step-pop @p117 :rule scope :premises (@p116)) % 0.46/0.65 (step-pop @p118 :rule scope :premises (@p117)) % 0.46/0.65 (step-pop @p119 :rule scope :premises (@p118)) % 0.46/0.65 (step @p74 :rule process_scope :premises (@p119) :args (@t14)) % 0.46/0.65 (step @p85 :rule implies_elim :premises (@p74)) % 0.46/0.65 (step @p86 :rule cnf_and_neg :args (@t54)) % 0.46/0.65 (step @p87 :rule resolution :premises (@p86 @p85) :args (true @t54)) % 0.46/0.65 (step @p88 :rule reordering :premises (@p87) :args ((or @t14 (not @t46) (not @t19) (not @t47) (not @t49) (not @t28) (not @t33) (not @t51) (not @t39) (not @t53) (not @t44)))) % 0.46/0.65 (step @p89 false :rule chain_m_resolution :premises (@p88 @p55 @p46 @p45 @p36 @p35 @p26 @p16 @p15 @p14 @p4 @p3) :args (false (@list false false false false false false false false false false true) (@list @t44 @t53 @t39 @t51 @t33 @t28 @t49 @t47 @t19 @t46 @t14))) % 0.46/0.65 ) % 0.46/0.65 % SZS output end Proof % 0.46/0.65 % cvc5 exiting %------------------------------------------------------------------------------