%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL060-2 : TPTP v9.2.1. Bugfixed v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:09:51 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.38s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : COL060-2 : TPTP v9.2.1. Bugfixed v1.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 15:16:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.38 % SZS status Unsatisfiable % 0.15/0.38 % SZS output start Proof % 0.15/0.38 ( % 0.15/0.38 (declare-sort $$unsorted 0) % 0.15/0.38 (declare-const tptp.y $$unsorted) % 0.15/0.38 (declare-const tptp.x $$unsorted) % 0.15/0.38 (declare-const tptp.z $$unsorted) % 0.15/0.38 (declare-const tptp.t $$unsorted) % 0.15/0.38 (declare-const tptp.b $$unsorted) % 0.15/0.38 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (define @t1 () (@var "Z" $$unsorted)) % 0.15/0.38 (define @t2 () (@var "Y" $$unsorted)) % 0.15/0.38 (define @t3 () (@var "X" $$unsorted)) % 0.15/0.38 (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))))) % 0.15/0.38 (define @t5 () (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.t @t3) @t2) (tptp.apply @t2 @t3)))) % 0.15/0.38 (define @t6 () (tptp.apply tptp.y (tptp.apply tptp.x tptp.z))) % 0.15/0.38 (define @t7 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.t)) % 0.15/0.38 (define @t8 () (tptp.apply tptp.t tptp.b)) % 0.15/0.38 (define @t9 () (tptp.apply (tptp.apply (tptp.apply tptp.b @t8) @t7) tptp.x)) % 0.15/0.38 (define @t10 () (tptp.apply @t9 tptp.y)) % 0.15/0.38 (define @t11 () (tptp.apply @t10 tptp.z)) % 0.15/0.38 (define @t12 () (= @t11 @t6)) % 0.15/0.38 (define @t13 () (tptp.apply tptp.b tptp.y)) % 0.15/0.38 (define @t14 () (tptp.apply @t13 tptp.x)) % 0.15/0.38 (define @t15 () (tptp.apply @t14 tptp.z)) % 0.15/0.38 (define @t16 () (= @t15 @t6)) % 0.15/0.38 (define @t17 () (@list tptp.y tptp.x tptp.z)) % 0.15/0.38 (define @t18 () (= @t6 @t15)) % 0.15/0.38 (define @t19 () (@list false)) % 0.15/0.38 (define @t20 () (@list @t4)) % 0.15/0.38 (define @t21 () (tptp.apply tptp.t tptp.z)) % 0.15/0.38 (define @t22 () (tptp.apply @t21 @t10)) % 0.15/0.38 (define @t23 () (= @t22 @t11)) % 0.15/0.38 (define @t24 () (= @t11 @t22)) % 0.15/0.38 (define @t25 () (@list @t5)) % 0.15/0.38 (define @t26 () (tptp.apply @t7 tptp.x)) % 0.15/0.38 (define @t27 () (tptp.apply tptp.t tptp.x)) % 0.15/0.38 (define @t28 () (tptp.apply @t27 @t13)) % 0.15/0.38 (define @t29 () (= @t28 @t14)) % 0.15/0.38 (define @t30 () (@list tptp.x @t13)) % 0.15/0.38 (define @t31 () (= @t14 @t28)) % 0.15/0.38 (define @t32 () (tptp.apply @t21 @t14)) % 0.15/0.38 (define @t33 () (= @t32 @t15)) % 0.15/0.38 (define @t34 () (@list tptp.z @t14)) % 0.15/0.38 (define @t35 () (= @t15 @t32)) % 0.15/0.38 (define @t36 () (tptp.apply tptp.b @t27)) % 0.15/0.38 (define @t37 () (tptp.apply (tptp.apply @t36 tptp.b) tptp.y)) % 0.15/0.38 (define @t38 () (= @t37 @t28)) % 0.15/0.38 (define @t39 () (@list @t27 tptp.b tptp.y)) % 0.15/0.38 (define @t40 () (= @t28 @t37)) % 0.15/0.38 (define @t41 () (tptp.apply @t8 @t26)) % 0.15/0.38 (define @t42 () (= @t9 @t41)) % 0.15/0.38 (define @t43 () (= @t26 @t36)) % 0.15/0.38 (define @t44 () (tptp.apply @t26 tptp.b)) % 0.15/0.38 (define @t45 () (= @t41 @t44)) % 0.15/0.38 (define @t46 () (and @t42 @t18 @t24 @t43 @t45 @t31 @t35 @t40)) % 0.15/0.38 (assume @p1 @t4) % 0.15/0.38 (assume @p2 @t5) % 0.15/0.38 (assume @p3 (not @t12)) % 0.15/0.38 (step @p4 :rule instantiate :premises (@p1) :args ((@list @t8 @t7 tptp.x))) % 0.15/0.38 (step @p5 :rule eq-symm :args (@t15 @t6)) % 0.15/0.38 (step @p6 :rule refl :args (@t4)) % 0.15/0.38 (step @p7 :rule cong :premises (@p6 @p5) :args ((=> @t4 @t16))) % 0.15/0.38 (assume-push @p85 @t4) % 0.15/0.38 (step @p9 :rule instantiate :premises (@p1) :args (@t17)) % 0.15/0.38 (step-pop @p86 :rule scope :premises (@p9)) % 0.15/0.38 (step @p10 :rule process_scope :premises (@p86) :args (@t16)) % 0.15/0.38 (step @p12 :rule eq_resolve :premises (@p10 @p7)) % 0.15/0.38 (step @p13 :rule implies_elim :premises (@p12)) % 0.15/0.38 (step @p14 :rule chain_m_resolution :premises (@p13 @p1) :args (@t18 @t19 @t20)) % 0.15/0.38 (step @p15 :rule eq-symm :args (@t22 @t11)) % 0.15/0.38 (step @p16 :rule refl :args (@t5)) % 0.15/0.38 (step @p17 :rule cong :premises (@p16 @p15) :args ((=> @t5 @t23))) % 0.15/0.38 (assume-push @p87 @t5) % 0.15/0.38 (step @p19 :rule instantiate :premises (@p2) :args ((@list tptp.z @t10))) % 0.15/0.38 (step-pop @p88 :rule scope :premises (@p19)) % 0.15/0.38 (step @p20 :rule process_scope :premises (@p88) :args (@t23)) % 0.15/0.38 (step @p22 :rule eq_resolve :premises (@p20 @p17)) % 0.15/0.38 (step @p23 :rule implies_elim :premises (@p22)) % 0.15/0.38 (step @p24 :rule chain_m_resolution :premises (@p23 @p2) :args (@t24 @t19 @t25)) % 0.15/0.38 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.t tptp.x))) % 0.15/0.38 (step @p26 :rule instantiate :premises (@p2) :args ((@list tptp.b @t26))) % 0.15/0.38 (step @p27 :rule eq-symm :args (@t28 @t14)) % 0.15/0.38 (step @p28 :rule cong :premises (@p16 @p27) :args ((=> @t5 @t29))) % 0.15/0.38 (assume-push @p89 @t5) % 0.15/0.38 (step @p30 :rule instantiate :premises (@p2) :args (@t30)) % 0.15/0.38 (step-pop @p90 :rule scope :premises (@p30)) % 0.15/0.38 (step @p31 :rule process_scope :premises (@p90) :args (@t29)) % 0.15/0.38 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.15/0.38 (step @p34 :rule implies_elim :premises (@p33)) % 0.15/0.38 (step @p35 :rule chain_m_resolution :premises (@p34 @p2) :args (@t31 @t19 @t25)) % 0.15/0.38 (step @p36 :rule eq-symm :args (@t32 @t15)) % 0.15/0.38 (step @p37 :rule cong :premises (@p16 @p36) :args ((=> @t5 @t33))) % 0.15/0.38 (assume-push @p91 @t5) % 0.15/0.38 (step @p39 :rule instantiate :premises (@p2) :args (@t34)) % 0.15/0.38 (step-pop @p92 :rule scope :premises (@p39)) % 0.15/0.38 (step @p40 :rule process_scope :premises (@p92) :args (@t33)) % 0.15/0.38 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.15/0.38 (step @p43 :rule implies_elim :premises (@p42)) % 0.15/0.38 (step @p44 :rule chain_m_resolution :premises (@p43 @p2) :args (@t35 @t19 @t25)) % 0.15/0.38 (step @p45 :rule eq-symm :args (@t37 @t28)) % 0.15/0.38 (step @p46 :rule cong :premises (@p6 @p45) :args ((=> @t4 @t38))) % 0.15/0.38 (assume-push @p93 @t4) % 0.15/0.38 (step @p48 :rule instantiate :premises (@p1) :args (@t39)) % 0.15/0.38 (step-pop @p94 :rule scope :premises (@p48)) % 0.15/0.38 (step @p49 :rule process_scope :premises (@p94) :args (@t38)) % 0.15/0.38 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.15/0.38 (step @p52 :rule implies_elim :premises (@p51)) % 0.15/0.38 (step @p53 :rule chain_m_resolution :premises (@p52 @p1) :args (@t40 @t19 @t20)) % 0.15/0.38 (assume-push @p95 @t42) % 0.15/0.38 (assume-push @p96 @t18) % 0.15/0.38 (assume-push @p97 @t24) % 0.15/0.38 (assume-push @p98 @t43) % 0.15/0.38 (assume-push @p99 @t45) % 0.15/0.38 (assume-push @p100 @t31) % 0.15/0.38 (assume-push @p101 @t35) % 0.15/0.38 (assume-push @p102 @t40) % 0.15/0.38 (step @p9 :rule instantiate :premises (@p1) :args (@t17)) % 0.15/0.38 (step @p39 :rule instantiate :premises (@p2) :args (@t34)) % 0.15/0.38 (step @p30 :rule instantiate :premises (@p2) :args (@t30)) % 0.15/0.38 (step @p48 :rule instantiate :premises (@p1) :args (@t39)) % 0.15/0.38 (step @p62 :rule refl :args (tptp.y)) % 0.15/0.38 (step @p63 :rule refl :args (tptp.b)) % 0.15/0.38 (step @p64 :rule cong :premises (@p25 @p63) :args (@t44)) % 0.15/0.38 (step @p65 :rule trans :premises (@p4 @p26 @p64)) % 0.15/0.38 (step @p66 :rule cong :premises (@p65 @p62) :args (@t10)) % 0.15/0.38 (step @p67 :rule trans :premises (@p66 @p48 @p30)) % 0.15/0.38 (step @p68 :rule refl :args (@t21)) % 0.15/0.38 (step @p69 :rule cong :premises (@p68 @p67) :args (@t22)) % 0.15/0.38 (step @p70 :rule trans :premises (@p24 @p69 @p39 @p9)) % 0.15/0.38 (step-pop @p103 :rule scope :premises (@p70)) % 0.15/0.38 (step-pop @p104 :rule scope :premises (@p103)) % 0.15/0.38 (step-pop @p105 :rule scope :premises (@p104)) % 0.15/0.38 (step-pop @p106 :rule scope :premises (@p105)) % 0.15/0.38 (step-pop @p107 :rule scope :premises (@p106)) % 0.15/0.38 (step-pop @p108 :rule scope :premises (@p107)) % 0.15/0.38 (step-pop @p109 :rule scope :premises (@p108)) % 0.15/0.38 (step-pop @p110 :rule scope :premises (@p109)) % 0.15/0.38 (step @p71 :rule process_scope :premises (@p110) :args (@t12)) % 0.15/0.38 (step @p80 :rule implies_elim :premises (@p71)) % 0.15/0.38 (step @p81 :rule cnf_and_neg :args (@t46)) % 0.15/0.38 (step @p82 :rule resolution :premises (@p81 @p80) :args (true @t46)) % 0.15/0.38 (step @p83 :rule reordering :premises (@p82) :args ((or @t12 (not @t42) (not @t18) (not @t24) (not @t43) (not @t45) (not @t31) (not @t35) (not @t40)))) % 0.15/0.38 (step @p84 false :rule chain_m_resolution :premises (@p83 @p53 @p44 @p35 @p26 @p25 @p24 @p14 @p4 @p3) :args (false (@list false false false false false false false false true) (@list @t40 @t35 @t31 @t45 @t43 @t24 @t18 @t42 @t12))) % 0.15/0.38 ) % 0.15/0.38 % SZS output end Proof % 0.15/0.38 % cvc5 exiting %------------------------------------------------------------------------------