%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL062-3 : 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 : n003.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 08:09:52 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 : COL062-3 : TPTP v9.2.1. Bugfixed v1.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 20:15:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----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 % 0.46/0.65 ( % 0.46/0.65 (declare-sort $$unsorted 0) % 0.46/0.65 (declare-const tptp.x $$unsorted) % 0.46/0.65 (declare-const tptp.z $$unsorted) % 0.46/0.65 (declare-const tptp.y $$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.x tptp.z)) % 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) tptp.t) 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.z)) % 0.46/0.65 (define @t16 () (tptp.apply @t15 @t12)) % 0.46/0.65 (define @t17 () (= @t16 @t13)) % 0.46/0.65 (define @t18 () (= @t13 @t16)) % 0.46/0.65 (define @t19 () (@list false)) % 0.46/0.65 (define @t20 () (@list @t5)) % 0.46/0.65 (define @t21 () (tptp.apply tptp.t tptp.y)) % 0.46/0.65 (define @t22 () (tptp.apply @t21 @t6)) % 0.46/0.65 (define @t23 () (= @t22 @t7)) % 0.46/0.65 (define @t24 () (@list tptp.y @t6)) % 0.46/0.65 (define @t25 () (= @t7 @t22)) % 0.46/0.65 (define @t26 () (tptp.apply tptp.t tptp.x)) % 0.46/0.65 (define @t27 () (tptp.apply tptp.b @t21)) % 0.46/0.65 (define @t28 () (tptp.apply @t27 tptp.x)) % 0.46/0.65 (define @t29 () (tptp.apply @t28 tptp.z)) % 0.46/0.65 (define @t30 () (= @t29 @t22)) % 0.46/0.65 (define @t31 () (@list @t21 tptp.x tptp.z)) % 0.46/0.65 (define @t32 () (= @t22 @t29)) % 0.46/0.65 (define @t33 () (@list @t4)) % 0.46/0.65 (define @t34 () (tptp.apply @t8 tptp.y)) % 0.46/0.65 (define @t35 () (= @t34 @t27)) % 0.46/0.65 (define @t36 () (@list tptp.b tptp.t tptp.y)) % 0.46/0.65 (define @t37 () (= @t27 @t34)) % 0.46/0.65 (define @t38 () (tptp.apply tptp.b @t26)) % 0.46/0.65 (define @t39 () (tptp.apply @t26 @t27)) % 0.46/0.65 (define @t40 () (= @t39 @t28)) % 0.46/0.65 (define @t41 () (@list tptp.x @t27)) % 0.46/0.65 (define @t42 () (= @t28 @t39)) % 0.46/0.65 (define @t43 () (tptp.apply @t15 @t28)) % 0.46/0.65 (define @t44 () (= @t43 @t29)) % 0.46/0.65 (define @t45 () (@list tptp.z @t28)) % 0.46/0.65 (define @t46 () (= @t29 @t43)) % 0.46/0.65 (define @t47 () (tptp.apply @t10 @t26)) % 0.46/0.65 (define @t48 () (= @t11 @t47)) % 0.46/0.65 (define @t49 () (tptp.apply @t9 @t38)) % 0.46/0.65 (define @t50 () (= @t47 @t49)) % 0.46/0.65 (define @t51 () (tptp.apply @t38 @t8)) % 0.46/0.65 (define @t52 () (= @t49 @t51)) % 0.46/0.65 (define @t53 () (tptp.apply @t26 @t34)) % 0.46/0.65 (define @t54 () (= (tptp.apply @t51 tptp.y) @t53)) % 0.46/0.65 (define @t55 () (and @t48 @t18 @t25 @t50 @t32 @t37 @t52 @t42 @t46 @t54)) % 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 tptp.t tptp.x))) % 0.46/0.65 (step @p5 :rule eq-symm :args (@t16 @t13)) % 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 @p99 @t5) % 0.46/0.65 (step @p9 :rule instantiate :premises (@p2) :args ((@list tptp.z @t12))) % 0.46/0.65 (step-pop @p100 :rule scope :premises (@p9)) % 0.46/0.65 (step @p10 :rule process_scope :premises (@p100) :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 (@t18 @t19 @t20)) % 0.46/0.65 (step @p15 :rule eq-symm :args (@t22 @t7)) % 0.46/0.65 (step @p16 :rule cong :premises (@p6 @p15) :args ((=> @t5 @t23))) % 0.46/0.65 (assume-push @p101 @t5) % 0.46/0.65 (step @p18 :rule instantiate :premises (@p2) :args (@t24)) % 0.46/0.65 (step-pop @p102 :rule scope :premises (@p18)) % 0.46/0.65 (step @p19 :rule process_scope :premises (@p102) :args (@t23)) % 0.46/0.65 (step @p21 :rule eq_resolve :premises (@p19 @p16)) % 0.46/0.65 (step @p22 :rule implies_elim :premises (@p21)) % 0.46/0.65 (step @p23 :rule chain_m_resolution :premises (@p22 @p2) :args (@t25 @t19 @t20)) % 0.46/0.65 (step @p24 :rule instantiate :premises (@p1) :args ((@list @t9 tptp.b @t26))) % 0.46/0.65 (step @p25 :rule eq-symm :args (@t29 @t22)) % 0.46/0.65 (step @p26 :rule refl :args (@t4)) % 0.46/0.65 (step @p27 :rule cong :premises (@p26 @p25) :args ((=> @t4 @t30))) % 0.46/0.65 (assume-push @p103 @t4) % 0.46/0.65 (step @p29 :rule instantiate :premises (@p1) :args (@t31)) % 0.46/0.65 (step-pop @p104 :rule scope :premises (@p29)) % 0.46/0.65 (step @p30 :rule process_scope :premises (@p104) :args (@t30)) % 0.46/0.65 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 0.46/0.65 (step @p33 :rule implies_elim :premises (@p32)) % 0.46/0.65 (step @p34 :rule chain_m_resolution :premises (@p33 @p1) :args (@t32 @t19 @t33)) % 0.46/0.65 (step @p35 :rule eq-symm :args (@t34 @t27)) % 0.46/0.65 (step @p36 :rule cong :premises (@p26 @p35) :args ((=> @t4 @t35))) % 0.46/0.65 (assume-push @p105 @t4) % 0.46/0.65 (step @p38 :rule instantiate :premises (@p1) :args (@t36)) % 0.46/0.65 (step-pop @p106 :rule scope :premises (@p38)) % 0.46/0.65 (step @p39 :rule process_scope :premises (@p106) :args (@t35)) % 0.46/0.65 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 0.46/0.65 (step @p42 :rule implies_elim :premises (@p41)) % 0.46/0.65 (step @p43 :rule chain_m_resolution :premises (@p42 @p1) :args (@t37 @t19 @t33)) % 0.46/0.65 (step @p44 :rule instantiate :premises (@p2) :args ((@list @t8 @t38))) % 0.46/0.65 (step @p45 :rule eq-symm :args (@t39 @t28)) % 0.46/0.65 (step @p46 :rule cong :premises (@p6 @p45) :args ((=> @t5 @t40))) % 0.46/0.65 (assume-push @p107 @t5) % 0.46/0.65 (step @p48 :rule instantiate :premises (@p2) :args (@t41)) % 0.46/0.65 (step-pop @p108 :rule scope :premises (@p48)) % 0.46/0.65 (step @p49 :rule process_scope :premises (@p108) :args (@t40)) % 0.46/0.65 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.46/0.65 (step @p52 :rule implies_elim :premises (@p51)) % 0.46/0.65 (step @p53 :rule chain_m_resolution :premises (@p52 @p2) :args (@t42 @t19 @t20)) % 0.46/0.65 (step @p54 :rule eq-symm :args (@t43 @t29)) % 0.46/0.65 (step @p55 :rule cong :premises (@p6 @p54) :args ((=> @t5 @t44))) % 0.46/0.65 (assume-push @p109 @t5) % 0.46/0.65 (step @p57 :rule instantiate :premises (@p2) :args (@t45)) % 0.46/0.65 (step-pop @p110 :rule scope :premises (@p57)) % 0.46/0.65 (step @p58 :rule process_scope :premises (@p110) :args (@t44)) % 0.46/0.65 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 0.46/0.65 (step @p61 :rule implies_elim :premises (@p60)) % 0.46/0.65 (step @p62 :rule chain_m_resolution :premises (@p61 @p2) :args (@t46 @t19 @t20)) % 0.46/0.65 (step @p63 :rule instantiate :premises (@p1) :args ((@list @t26 @t8 tptp.y))) % 0.46/0.65 (assume-push @p111 @t48) % 0.46/0.65 (assume-push @p112 @t18) % 0.46/0.65 (assume-push @p113 @t25) % 0.46/0.65 (assume-push @p114 @t50) % 0.46/0.65 (assume-push @p115 @t32) % 0.46/0.65 (assume-push @p116 @t37) % 0.46/0.65 (assume-push @p117 @t52) % 0.46/0.65 (assume-push @p118 @t42) % 0.46/0.65 (assume-push @p119 @t46) % 0.46/0.65 (assume-push @p120 @t54) % 0.46/0.65 (step @p18 :rule instantiate :premises (@p2) :args (@t24)) % 0.46/0.65 (step @p29 :rule instantiate :premises (@p1) :args (@t31)) % 0.46/0.65 (step @p57 :rule instantiate :premises (@p2) :args (@t45)) % 0.46/0.65 (step @p48 :rule instantiate :premises (@p2) :args (@t41)) % 0.46/0.65 (step @p38 :rule instantiate :premises (@p1) :args (@t36)) % 0.46/0.65 (step @p74 :rule refl :args (@t26)) % 0.46/0.65 (step @p75 :rule cong :premises (@p74 @p38) :args (@t53)) % 0.46/0.65 (step @p76 :rule refl :args (tptp.y)) % 0.46/0.65 (step @p77 :rule trans :premises (@p4 @p24 @p44)) % 0.46/0.65 (step @p78 :rule cong :premises (@p77 @p76) :args (@t12)) % 0.46/0.65 (step @p79 :rule trans :premises (@p78 @p63 @p75 @p48)) % 0.46/0.65 (step @p80 :rule refl :args (@t15)) % 0.46/0.65 (step @p81 :rule cong :premises (@p80 @p79) :args (@t16)) % 0.46/0.65 (step @p82 :rule trans :premises (@p14 @p81 @p57 @p29 @p18)) % 0.46/0.65 (step-pop @p121 :rule scope :premises (@p82)) % 0.46/0.65 (step-pop @p122 :rule scope :premises (@p121)) % 0.46/0.65 (step-pop @p123 :rule scope :premises (@p122)) % 0.46/0.65 (step-pop @p124 :rule scope :premises (@p123)) % 0.46/0.65 (step-pop @p125 :rule scope :premises (@p124)) % 0.46/0.65 (step-pop @p126 :rule scope :premises (@p125)) % 0.46/0.65 (step-pop @p127 :rule scope :premises (@p126)) % 0.46/0.65 (step-pop @p128 :rule scope :premises (@p127)) % 0.46/0.65 (step-pop @p129 :rule scope :premises (@p128)) % 0.46/0.65 (step-pop @p130 :rule scope :premises (@p129)) % 0.46/0.65 (step @p83 :rule process_scope :premises (@p130) :args (@t14)) % 0.46/0.65 (step @p94 :rule implies_elim :premises (@p83)) % 0.46/0.65 (step @p95 :rule cnf_and_neg :args (@t55)) % 0.46/0.65 (step @p96 :rule resolution :premises (@p95 @p94) :args (true @t55)) % 0.46/0.65 (step @p97 :rule reordering :premises (@p96) :args ((or @t14 (not @t48) (not @t18) (not @t25) (not @t50) (not @t32) (not @t37) (not @t52) (not @t42) (not @t46) (not @t54)))) % 0.46/0.65 (step @p98 false :rule chain_m_resolution :premises (@p97 @p63 @p62 @p53 @p44 @p43 @p34 @p24 @p23 @p14 @p4 @p3) :args (false (@list false false false false false false false false false false true) (@list @t54 @t46 @t42 @t52 @t37 @t32 @t50 @t25 @t18 @t48 @t14))) % 0.46/0.65 ) % 0.46/0.65 % SZS output end Proof % 0.46/0.65 % cvc5 exiting %------------------------------------------------------------------------------