%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL064-6 : 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 : n008.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 0.63s 0.84s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL064-6 : TPTP v9.2.1. Bugfixed v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.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 20:19:03 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... % 0.63/0.84 % SZS status Unsatisfiable % 0.63/0.84 % SZS output start Proof % 0.63/0.85 ( % 0.63/0.85 (declare-sort $$unsorted 0) % 0.63/0.85 (declare-const tptp.z $$unsorted) % 0.63/0.85 (declare-const tptp.x $$unsorted) % 0.63/0.85 (declare-const tptp.y $$unsorted) % 0.63/0.85 (declare-const tptp.t $$unsorted) % 0.63/0.85 (declare-const tptp.b $$unsorted) % 0.63/0.85 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.85 (define @t1 () (@var "Z" $$unsorted)) % 0.63/0.85 (define @t2 () (@var "Y" $$unsorted)) % 0.63/0.85 (define @t3 () (@var "X" $$unsorted)) % 0.63/0.85 (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))))) % 0.63/0.85 (define @t5 () (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.t @t3) @t2) (tptp.apply @t2 @t3)))) % 0.63/0.85 (define @t6 () (tptp.apply tptp.z tptp.x)) % 0.63/0.85 (define @t7 () (tptp.apply @t6 tptp.y)) % 0.63/0.85 (define @t8 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.t)) % 0.63/0.85 (define @t9 () (tptp.apply tptp.t @t8)) % 0.63/0.85 (define @t10 () (tptp.apply (tptp.apply tptp.b @t9) tptp.b)) % 0.63/0.85 (define @t11 () (tptp.apply (tptp.apply tptp.b @t10) tptp.b)) % 0.63/0.85 (define @t12 () (tptp.apply (tptp.apply (tptp.apply tptp.b @t11) tptp.t) tptp.x)) % 0.63/0.85 (define @t13 () (tptp.apply @t12 tptp.y)) % 0.63/0.85 (define @t14 () (tptp.apply @t13 tptp.z)) % 0.63/0.85 (define @t15 () (= @t14 @t7)) % 0.63/0.85 (define @t16 () (tptp.apply tptp.t tptp.y)) % 0.63/0.85 (define @t17 () (tptp.apply @t16 @t6)) % 0.63/0.85 (define @t18 () (= @t17 @t7)) % 0.63/0.85 (define @t19 () (@list tptp.y @t6)) % 0.63/0.85 (define @t20 () (= @t7 @t17)) % 0.63/0.85 (define @t21 () (@list false)) % 0.63/0.85 (define @t22 () (@list @t5)) % 0.63/0.85 (define @t23 () (tptp.apply tptp.t tptp.x)) % 0.63/0.85 (define @t24 () (tptp.apply tptp.b @t16)) % 0.63/0.85 (define @t25 () (tptp.apply @t24 tptp.z)) % 0.63/0.85 (define @t26 () (tptp.apply @t25 tptp.x)) % 0.63/0.85 (define @t27 () (= @t26 @t17)) % 0.63/0.85 (define @t28 () (@list @t16 tptp.z tptp.x)) % 0.63/0.85 (define @t29 () (= @t17 @t26)) % 0.63/0.85 (define @t30 () (@list @t4)) % 0.63/0.85 (define @t31 () (tptp.apply tptp.b @t23)) % 0.63/0.85 (define @t32 () (tptp.apply @t8 tptp.y)) % 0.63/0.85 (define @t33 () (= @t32 @t24)) % 0.63/0.85 (define @t34 () (@list tptp.b tptp.t tptp.y)) % 0.63/0.85 (define @t35 () (= @t24 @t32)) % 0.63/0.85 (define @t36 () (tptp.apply @t23 @t25)) % 0.63/0.85 (define @t37 () (= @t36 @t26)) % 0.63/0.85 (define @t38 () (@list tptp.x @t25)) % 0.63/0.85 (define @t39 () (= @t26 @t36)) % 0.63/0.85 (define @t40 () (tptp.apply (tptp.apply @t31 @t24) tptp.z)) % 0.63/0.85 (define @t41 () (= @t40 @t36)) % 0.63/0.85 (define @t42 () (@list @t23 @t24 tptp.z)) % 0.63/0.85 (define @t43 () (= @t36 @t40)) % 0.63/0.85 (define @t44 () (tptp.apply tptp.b @t31)) % 0.63/0.85 (define @t45 () (tptp.apply @t11 @t23)) % 0.63/0.85 (define @t46 () (= @t12 @t45)) % 0.63/0.85 (define @t47 () (tptp.apply @t10 @t31)) % 0.63/0.85 (define @t48 () (= @t45 @t47)) % 0.63/0.85 (define @t49 () (tptp.apply @t9 @t44)) % 0.63/0.85 (define @t50 () (= @t47 @t49)) % 0.63/0.85 (define @t51 () (tptp.apply @t44 @t8)) % 0.63/0.85 (define @t52 () (= @t49 @t51)) % 0.63/0.85 (define @t53 () (tptp.apply @t31 @t32)) % 0.63/0.85 (define @t54 () (= (tptp.apply @t51 tptp.y) @t53)) % 0.63/0.85 (define @t55 () (and @t46 @t20 @t48 @t29 @t50 @t35 @t39 @t43 @t52 @t54)) % 0.63/0.85 (assume @p1 @t4) % 0.63/0.85 (assume @p2 @t5) % 0.63/0.85 (assume @p3 (not @t15)) % 0.63/0.85 (step @p4 :rule instantiate :premises (@p1) :args ((@list @t11 tptp.t tptp.x))) % 0.63/0.85 (step @p5 :rule eq-symm :args (@t17 @t7)) % 0.63/0.85 (step @p6 :rule refl :args (@t5)) % 0.63/0.85 (step @p7 :rule cong :premises (@p6 @p5) :args ((=> @t5 @t18))) % 0.63/0.85 (assume-push @p91 @t5) % 0.63/0.85 (step @p9 :rule instantiate :premises (@p2) :args (@t19)) % 0.63/0.85 (step-pop @p92 :rule scope :premises (@p9)) % 0.63/0.85 (step @p10 :rule process_scope :premises (@p92) :args (@t18)) % 0.63/0.85 (step @p12 :rule eq_resolve :premises (@p10 @p7)) % 0.63/0.85 (step @p13 :rule implies_elim :premises (@p12)) % 0.63/0.85 (step @p14 :rule chain_m_resolution :premises (@p13 @p2) :args (@t20 @t21 @t22)) % 0.63/0.85 (step @p15 :rule instantiate :premises (@p1) :args ((@list @t10 tptp.b @t23))) % 0.63/0.85 (step @p16 :rule eq-symm :args (@t26 @t17)) % 0.63/0.85 (step @p17 :rule refl :args (@t4)) % 0.63/0.85 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t4 @t27))) % 0.63/0.85 (assume-push @p93 @t4) % 0.63/0.85 (step @p20 :rule instantiate :premises (@p1) :args (@t28)) % 0.63/0.85 (step-pop @p94 :rule scope :premises (@p20)) % 0.63/0.85 (step @p21 :rule process_scope :premises (@p94) :args (@t27)) % 0.63/0.85 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.63/0.85 (step @p24 :rule implies_elim :premises (@p23)) % 0.63/0.85 (step @p25 :rule chain_m_resolution :premises (@p24 @p1) :args (@t29 @t21 @t30)) % 0.63/0.85 (step @p26 :rule instantiate :premises (@p1) :args ((@list @t9 tptp.b @t31))) % 0.63/0.85 (step @p27 :rule eq-symm :args (@t32 @t24)) % 0.63/0.85 (step @p28 :rule cong :premises (@p17 @p27) :args ((=> @t4 @t33))) % 0.63/0.85 (assume-push @p95 @t4) % 0.63/0.85 (step @p30 :rule instantiate :premises (@p1) :args (@t34)) % 0.63/0.85 (step-pop @p96 :rule scope :premises (@p30)) % 0.63/0.85 (step @p31 :rule process_scope :premises (@p96) :args (@t33)) % 0.63/0.85 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.63/0.85 (step @p34 :rule implies_elim :premises (@p33)) % 0.63/0.85 (step @p35 :rule chain_m_resolution :premises (@p34 @p1) :args (@t35 @t21 @t30)) % 0.63/0.85 (step @p36 :rule eq-symm :args (@t36 @t26)) % 0.63/0.85 (step @p37 :rule cong :premises (@p6 @p36) :args ((=> @t5 @t37))) % 0.63/0.85 (assume-push @p97 @t5) % 0.63/0.85 (step @p39 :rule instantiate :premises (@p2) :args (@t38)) % 0.63/0.85 (step-pop @p98 :rule scope :premises (@p39)) % 0.63/0.85 (step @p40 :rule process_scope :premises (@p98) :args (@t37)) % 0.63/0.85 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.63/0.85 (step @p43 :rule implies_elim :premises (@p42)) % 0.63/0.85 (step @p44 :rule chain_m_resolution :premises (@p43 @p2) :args (@t39 @t21 @t22)) % 0.63/0.85 (step @p45 :rule eq-symm :args (@t40 @t36)) % 0.63/0.85 (step @p46 :rule cong :premises (@p17 @p45) :args ((=> @t4 @t41))) % 0.63/0.85 (assume-push @p99 @t4) % 0.63/0.85 (step @p48 :rule instantiate :premises (@p1) :args (@t42)) % 0.63/0.85 (step-pop @p100 :rule scope :premises (@p48)) % 0.63/0.85 (step @p49 :rule process_scope :premises (@p100) :args (@t41)) % 0.63/0.85 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.63/0.85 (step @p52 :rule implies_elim :premises (@p51)) % 0.63/0.85 (step @p53 :rule chain_m_resolution :premises (@p52 @p1) :args (@t43 @t21 @t30)) % 0.63/0.85 (step @p54 :rule instantiate :premises (@p2) :args ((@list @t8 @t44))) % 0.63/0.85 (step @p55 :rule instantiate :premises (@p1) :args ((@list @t31 @t8 tptp.y))) % 0.63/0.85 (assume-push @p101 @t46) % 0.63/0.85 (assume-push @p102 @t20) % 0.63/0.85 (assume-push @p103 @t48) % 0.63/0.85 (assume-push @p104 @t29) % 0.63/0.85 (assume-push @p105 @t50) % 0.63/0.85 (assume-push @p106 @t35) % 0.63/0.85 (assume-push @p107 @t39) % 0.63/0.85 (assume-push @p108 @t43) % 0.63/0.85 (assume-push @p109 @t52) % 0.63/0.85 (assume-push @p110 @t54) % 0.63/0.85 (step @p9 :rule instantiate :premises (@p2) :args (@t19)) % 0.63/0.85 (step @p20 :rule instantiate :premises (@p1) :args (@t28)) % 0.63/0.85 (step @p39 :rule instantiate :premises (@p2) :args (@t38)) % 0.63/0.85 (step @p48 :rule instantiate :premises (@p1) :args (@t42)) % 0.63/0.85 (step @p66 :rule refl :args (tptp.z)) % 0.63/0.85 (step @p30 :rule instantiate :premises (@p1) :args (@t34)) % 0.63/0.85 (step @p67 :rule refl :args (@t31)) % 0.63/0.85 (step @p68 :rule cong :premises (@p67 @p30) :args (@t53)) % 0.63/0.85 (step @p69 :rule refl :args (tptp.y)) % 0.63/0.85 (step @p70 :rule trans :premises (@p4 @p15 @p26 @p54)) % 0.63/0.85 (step @p71 :rule cong :premises (@p70 @p69) :args (@t13)) % 0.63/0.85 (step @p72 :rule trans :premises (@p71 @p55 @p68)) % 0.63/0.85 (step @p73 :rule cong :premises (@p72 @p66) :args (@t14)) % 0.63/0.85 (step @p74 :rule trans :premises (@p73 @p48 @p39 @p20 @p9)) % 0.63/0.85 (step-pop @p111 :rule scope :premises (@p74)) % 0.63/0.85 (step-pop @p112 :rule scope :premises (@p111)) % 0.63/0.85 (step-pop @p113 :rule scope :premises (@p112)) % 0.63/0.85 (step-pop @p114 :rule scope :premises (@p113)) % 0.63/0.85 (step-pop @p115 :rule scope :premises (@p114)) % 0.63/0.85 (step-pop @p116 :rule scope :premises (@p115)) % 0.63/0.85 (step-pop @p117 :rule scope :premises (@p116)) % 0.63/0.85 (step-pop @p118 :rule scope :premises (@p117)) % 0.63/0.85 (step-pop @p119 :rule scope :premises (@p118)) % 0.63/0.85 (step-pop @p120 :rule scope :premises (@p119)) % 0.63/0.85 (step @p75 :rule process_scope :premises (@p120) :args (@t15)) % 0.63/0.85 (step @p86 :rule implies_elim :premises (@p75)) % 0.63/0.85 (step @p87 :rule cnf_and_neg :args (@t55)) % 0.63/0.85 (step @p88 :rule resolution :premises (@p87 @p86) :args (true @t55)) % 0.63/0.85 (step @p89 :rule reordering :premises (@p88) :args ((or @t15 (not @t46) (not @t20) (not @t48) (not @t29) (not @t50) (not @t35) (not @t39) (not @t43) (not @t52) (not @t54)))) % 0.63/0.85 (step @p90 false :rule chain_m_resolution :premises (@p89 @p55 @p54 @p53 @p44 @p35 @p26 @p25 @p15 @p14 @p4 @p3) :args (false (@list false false false false false false false false false false true) (@list @t54 @t52 @t43 @t39 @t35 @t50 @t29 @t48 @t20 @t46 @t15))) % 0.63/0.85 ) % 0.63/0.85 % SZS output end Proof % 0.63/0.85 % cvc5 exiting %------------------------------------------------------------------------------