%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL064-4 : 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 : n007.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 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL064-4 : TPTP v9.2.1. Bugfixed v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.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 20:17:56 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.64 % SZS status Unsatisfiable % 0.46/0.64 % SZS output start Proof % 0.46/0.64 ( % 0.46/0.64 (declare-sort $$unsorted 0) % 0.46/0.64 (declare-const tptp.z $$unsorted) % 0.46/0.64 (declare-const tptp.x $$unsorted) % 0.46/0.64 (declare-const tptp.y $$unsorted) % 0.46/0.64 (declare-const tptp.t $$unsorted) % 0.46/0.64 (declare-const tptp.b $$unsorted) % 0.46/0.64 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (define @t1 () (@var "Z" $$unsorted)) % 0.46/0.64 (define @t2 () (@var "Y" $$unsorted)) % 0.46/0.64 (define @t3 () (@var "X" $$unsorted)) % 0.46/0.64 (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))))) % 0.46/0.64 (define @t5 () (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.t @t3) @t2) (tptp.apply @t2 @t3)))) % 0.46/0.64 (define @t6 () (tptp.apply tptp.z tptp.x)) % 0.46/0.64 (define @t7 () (tptp.apply @t6 tptp.y)) % 0.46/0.64 (define @t8 () (tptp.apply tptp.b tptp.b)) % 0.46/0.64 (define @t9 () (tptp.apply @t8 tptp.b)) % 0.46/0.64 (define @t10 () (tptp.apply (tptp.apply tptp.b @t9) tptp.t)) % 0.46/0.64 (define @t11 () (tptp.apply @t8 tptp.t)) % 0.46/0.64 (define @t12 () (tptp.apply tptp.t @t11)) % 0.46/0.64 (define @t13 () (tptp.apply (tptp.apply (tptp.apply tptp.b @t12) @t10) tptp.x)) % 0.46/0.64 (define @t14 () (tptp.apply @t13 tptp.y)) % 0.46/0.64 (define @t15 () (tptp.apply @t14 tptp.z)) % 0.46/0.64 (define @t16 () (= @t15 @t7)) % 0.46/0.64 (define @t17 () (tptp.apply tptp.t tptp.y)) % 0.46/0.64 (define @t18 () (tptp.apply @t17 @t6)) % 0.46/0.64 (define @t19 () (= @t18 @t7)) % 0.46/0.64 (define @t20 () (@list tptp.y @t6)) % 0.46/0.64 (define @t21 () (= @t7 @t18)) % 0.46/0.64 (define @t22 () (@list false)) % 0.46/0.64 (define @t23 () (@list @t5)) % 0.46/0.64 (define @t24 () (tptp.apply tptp.b @t17)) % 0.46/0.64 (define @t25 () (tptp.apply @t24 tptp.z)) % 0.46/0.64 (define @t26 () (tptp.apply @t25 tptp.x)) % 0.46/0.64 (define @t27 () (= @t26 @t18)) % 0.46/0.64 (define @t28 () (@list @t17 tptp.z tptp.x)) % 0.46/0.64 (define @t29 () (= @t18 @t26)) % 0.46/0.64 (define @t30 () (@list @t4)) % 0.46/0.64 (define @t31 () (tptp.apply @t10 tptp.x)) % 0.46/0.64 (define @t32 () (tptp.apply tptp.t tptp.x)) % 0.46/0.64 (define @t33 () (tptp.apply @t11 tptp.y)) % 0.46/0.64 (define @t34 () (= @t33 @t24)) % 0.46/0.64 (define @t35 () (@list tptp.b tptp.t tptp.y)) % 0.46/0.64 (define @t36 () (= @t24 @t33)) % 0.46/0.64 (define @t37 () (tptp.apply @t32 @t25)) % 0.46/0.64 (define @t38 () (= @t37 @t26)) % 0.46/0.64 (define @t39 () (@list tptp.x @t25)) % 0.46/0.64 (define @t40 () (= @t26 @t37)) % 0.46/0.64 (define @t41 () (tptp.apply tptp.b @t32)) % 0.46/0.64 (define @t42 () (tptp.apply (tptp.apply @t41 @t24) tptp.z)) % 0.46/0.64 (define @t43 () (= @t42 @t37)) % 0.46/0.64 (define @t44 () (@list @t32 @t24 tptp.z)) % 0.46/0.64 (define @t45 () (= @t37 @t42)) % 0.46/0.64 (define @t46 () (tptp.apply @t12 @t31)) % 0.46/0.64 (define @t47 () (= @t13 @t46)) % 0.46/0.64 (define @t48 () (tptp.apply @t9 @t32)) % 0.46/0.64 (define @t49 () (= @t31 @t48)) % 0.46/0.64 (define @t50 () (tptp.apply @t31 @t11)) % 0.46/0.64 (define @t51 () (= @t46 @t50)) % 0.46/0.64 (define @t52 () (tptp.apply tptp.b @t41)) % 0.46/0.64 (define @t53 () (= @t48 @t52)) % 0.46/0.64 (define @t54 () (tptp.apply @t41 @t33)) % 0.46/0.64 (define @t55 () (= (tptp.apply (tptp.apply @t52 @t11) tptp.y) @t54)) % 0.46/0.64 (define @t56 () (and @t47 @t21 @t49 @t29 @t51 @t53 @t36 @t40 @t55 @t45)) % 0.46/0.64 (assume @p1 @t4) % 0.46/0.64 (assume @p2 @t5) % 0.46/0.64 (assume @p3 (not @t16)) % 0.46/0.64 (step @p4 :rule instantiate :premises (@p1) :args ((@list @t12 @t10 tptp.x))) % 0.46/0.64 (step @p5 :rule eq-symm :args (@t18 @t7)) % 0.46/0.64 (step @p6 :rule refl :args (@t5)) % 0.46/0.64 (step @p7 :rule cong :premises (@p6 @p5) :args ((=> @t5 @t19))) % 0.46/0.64 (assume-push @p94 @t5) % 0.46/0.64 (step @p9 :rule instantiate :premises (@p2) :args (@t20)) % 0.46/0.64 (step-pop @p95 :rule scope :premises (@p9)) % 0.46/0.64 (step @p10 :rule process_scope :premises (@p95) :args (@t19)) % 0.46/0.64 (step @p12 :rule eq_resolve :premises (@p10 @p7)) % 0.46/0.64 (step @p13 :rule implies_elim :premises (@p12)) % 0.46/0.64 (step @p14 :rule chain_m_resolution :premises (@p13 @p2) :args (@t21 @t22 @t23)) % 0.46/0.64 (step @p15 :rule instantiate :premises (@p1) :args ((@list @t9 tptp.t tptp.x))) % 0.46/0.64 (step @p16 :rule eq-symm :args (@t26 @t18)) % 0.46/0.64 (step @p17 :rule refl :args (@t4)) % 0.46/0.64 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t4 @t27))) % 0.46/0.64 (assume-push @p96 @t4) % 0.46/0.64 (step @p20 :rule instantiate :premises (@p1) :args (@t28)) % 0.46/0.64 (step-pop @p97 :rule scope :premises (@p20)) % 0.46/0.64 (step @p21 :rule process_scope :premises (@p97) :args (@t27)) % 0.46/0.64 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.46/0.64 (step @p24 :rule implies_elim :premises (@p23)) % 0.46/0.64 (step @p25 :rule chain_m_resolution :premises (@p24 @p1) :args (@t29 @t22 @t30)) % 0.46/0.64 (step @p26 :rule instantiate :premises (@p2) :args ((@list @t11 @t31))) % 0.46/0.64 (step @p27 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b @t32))) % 0.46/0.64 (step @p28 :rule eq-symm :args (@t33 @t24)) % 0.46/0.64 (step @p29 :rule cong :premises (@p17 @p28) :args ((=> @t4 @t34))) % 0.46/0.64 (assume-push @p98 @t4) % 0.46/0.64 (step @p31 :rule instantiate :premises (@p1) :args (@t35)) % 0.46/0.64 (step-pop @p99 :rule scope :premises (@p31)) % 0.46/0.64 (step @p32 :rule process_scope :premises (@p99) :args (@t34)) % 0.46/0.64 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 0.46/0.64 (step @p35 :rule implies_elim :premises (@p34)) % 0.46/0.64 (step @p36 :rule chain_m_resolution :premises (@p35 @p1) :args (@t36 @t22 @t30)) % 0.46/0.64 (step @p37 :rule eq-symm :args (@t37 @t26)) % 0.46/0.64 (step @p38 :rule cong :premises (@p6 @p37) :args ((=> @t5 @t38))) % 0.46/0.64 (assume-push @p100 @t5) % 0.46/0.64 (step @p40 :rule instantiate :premises (@p2) :args (@t39)) % 0.46/0.64 (step-pop @p101 :rule scope :premises (@p40)) % 0.46/0.64 (step @p41 :rule process_scope :premises (@p101) :args (@t38)) % 0.46/0.64 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.46/0.64 (step @p44 :rule implies_elim :premises (@p43)) % 0.46/0.64 (step @p45 :rule chain_m_resolution :premises (@p44 @p2) :args (@t40 @t22 @t23)) % 0.46/0.64 (step @p46 :rule instantiate :premises (@p1) :args ((@list @t41 @t11 tptp.y))) % 0.46/0.64 (step @p47 :rule eq-symm :args (@t42 @t37)) % 0.46/0.64 (step @p48 :rule cong :premises (@p17 @p47) :args ((=> @t4 @t43))) % 0.46/0.64 (assume-push @p102 @t4) % 0.46/0.64 (step @p50 :rule instantiate :premises (@p1) :args (@t44)) % 0.46/0.64 (step-pop @p103 :rule scope :premises (@p50)) % 0.46/0.64 (step @p51 :rule process_scope :premises (@p103) :args (@t43)) % 0.46/0.64 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 0.46/0.64 (step @p54 :rule implies_elim :premises (@p53)) % 0.46/0.64 (step @p55 :rule chain_m_resolution :premises (@p54 @p1) :args (@t45 @t22 @t30)) % 0.46/0.64 (assume-push @p104 @t47) % 0.46/0.64 (assume-push @p105 @t21) % 0.46/0.64 (assume-push @p106 @t49) % 0.46/0.64 (assume-push @p107 @t29) % 0.46/0.64 (assume-push @p108 @t51) % 0.46/0.64 (assume-push @p109 @t53) % 0.46/0.64 (assume-push @p110 @t36) % 0.46/0.64 (assume-push @p111 @t40) % 0.46/0.64 (assume-push @p112 @t55) % 0.46/0.64 (assume-push @p113 @t45) % 0.46/0.64 (step @p9 :rule instantiate :premises (@p2) :args (@t20)) % 0.46/0.64 (step @p20 :rule instantiate :premises (@p1) :args (@t28)) % 0.46/0.64 (step @p40 :rule instantiate :premises (@p2) :args (@t39)) % 0.46/0.64 (step @p50 :rule instantiate :premises (@p1) :args (@t44)) % 0.46/0.64 (step @p66 :rule refl :args (tptp.z)) % 0.46/0.64 (step @p31 :rule instantiate :premises (@p1) :args (@t35)) % 0.46/0.64 (step @p67 :rule refl :args (@t41)) % 0.46/0.64 (step @p68 :rule cong :premises (@p67 @p31) :args (@t54)) % 0.46/0.64 (step @p69 :rule refl :args (tptp.y)) % 0.46/0.64 (step @p70 :rule refl :args (@t11)) % 0.46/0.64 (step @p71 :rule trans :premises (@p15 @p27)) % 0.46/0.64 (step @p72 :rule cong :premises (@p71 @p70) :args (@t50)) % 0.46/0.64 (step @p73 :rule trans :premises (@p4 @p26 @p72)) % 0.46/0.64 (step @p74 :rule cong :premises (@p73 @p69) :args (@t14)) % 0.46/0.64 (step @p75 :rule trans :premises (@p74 @p46 @p68)) % 0.46/0.64 (step @p76 :rule cong :premises (@p75 @p66) :args (@t15)) % 0.46/0.64 (step @p77 :rule trans :premises (@p76 @p50 @p40 @p20 @p9)) % 0.46/0.64 (step-pop @p114 :rule scope :premises (@p77)) % 0.46/0.64 (step-pop @p115 :rule scope :premises (@p114)) % 0.46/0.64 (step-pop @p116 :rule scope :premises (@p115)) % 0.46/0.64 (step-pop @p117 :rule scope :premises (@p116)) % 0.46/0.64 (step-pop @p118 :rule scope :premises (@p117)) % 0.46/0.64 (step-pop @p119 :rule scope :premises (@p118)) % 0.46/0.64 (step-pop @p120 :rule scope :premises (@p119)) % 0.46/0.64 (step-pop @p121 :rule scope :premises (@p120)) % 0.46/0.64 (step-pop @p122 :rule scope :premises (@p121)) % 0.46/0.64 (step-pop @p123 :rule scope :premises (@p122)) % 0.46/0.64 (step @p78 :rule process_scope :premises (@p123) :args (@t16)) % 0.46/0.64 (step @p89 :rule implies_elim :premises (@p78)) % 0.46/0.64 (step @p90 :rule cnf_and_neg :args (@t56)) % 0.46/0.64 (step @p91 :rule resolution :premises (@p90 @p89) :args (true @t56)) % 0.46/0.64 (step @p92 :rule reordering :premises (@p91) :args ((or @t16 (not @t47) (not @t21) (not @t49) (not @t29) (not @t51) (not @t53) (not @t36) (not @t40) (not @t55) (not @t45)))) % 0.46/0.64 (step @p93 false :rule chain_m_resolution :premises (@p92 @p55 @p46 @p45 @p36 @p27 @p26 @p25 @p15 @p14 @p4 @p3) :args (false (@list false false false false false false false false false false true) (@list @t45 @t55 @t40 @t36 @t53 @t51 @t29 @t49 @t21 @t47 @t16))) % 0.46/0.64 ) % 0.46/0.64 % SZS output end Proof % 0.46/0.64 % cvc5 exiting %------------------------------------------------------------------------------