%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL061-3 : 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 : n001.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 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL061-3 : 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 : n001.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 20:17:05 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... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.x $$unsorted) % 0.39/0.57 (declare-const tptp.z $$unsorted) % 0.39/0.57 (declare-const tptp.y $$unsorted) % 0.39/0.57 (declare-const tptp.t $$unsorted) % 0.39/0.57 (declare-const tptp.b $$unsorted) % 0.39/0.57 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (define @t1 () (@var "Z" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t3 () (@var "X" $$unsorted)) % 0.39/0.57 (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))))) % 0.39/0.57 (define @t5 () (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.t @t3) @t2) (tptp.apply @t2 @t3)))) % 0.39/0.57 (define @t6 () (tptp.apply tptp.z tptp.y)) % 0.39/0.57 (define @t7 () (tptp.apply tptp.t tptp.t)) % 0.39/0.57 (define @t8 () (tptp.apply (tptp.apply tptp.b @t7) tptp.b)) % 0.39/0.57 (define @t9 () (tptp.apply (tptp.apply (tptp.apply tptp.b @t8) tptp.b) tptp.x)) % 0.39/0.57 (define @t10 () (tptp.apply @t9 tptp.y)) % 0.39/0.57 (define @t11 () (tptp.apply @t10 tptp.z)) % 0.39/0.57 (define @t12 () (= @t11 (tptp.apply tptp.x @t6))) % 0.39/0.57 (define @t13 () (tptp.apply tptp.t tptp.y)) % 0.39/0.57 (define @t14 () (tptp.apply @t13 tptp.z)) % 0.39/0.57 (define @t15 () (= @t14 @t6)) % 0.39/0.57 (define @t16 () (@list tptp.y tptp.z)) % 0.39/0.57 (define @t17 () (= @t6 @t14)) % 0.39/0.57 (define @t18 () (@list false)) % 0.39/0.57 (define @t19 () (tptp.apply tptp.b tptp.x)) % 0.39/0.57 (define @t20 () (tptp.apply tptp.b @t19)) % 0.39/0.57 (define @t21 () (tptp.apply @t20 tptp.t)) % 0.39/0.57 (define @t22 () (tptp.apply @t21 tptp.y)) % 0.39/0.57 (define @t23 () (tptp.apply @t19 @t13)) % 0.39/0.57 (define @t24 () (= @t22 @t23)) % 0.39/0.57 (define @t25 () (@list @t19 tptp.t tptp.y)) % 0.39/0.57 (define @t26 () (= @t23 @t22)) % 0.39/0.57 (define @t27 () (tptp.apply @t8 @t19)) % 0.39/0.57 (define @t28 () (= @t9 @t27)) % 0.39/0.57 (define @t29 () (tptp.apply @t7 @t20)) % 0.39/0.57 (define @t30 () (= @t27 @t29)) % 0.39/0.57 (define @t31 () (tptp.apply tptp.x @t14)) % 0.39/0.57 (define @t32 () (= (tptp.apply @t23 tptp.z) @t31)) % 0.39/0.57 (define @t33 () (= @t29 @t21)) % 0.39/0.57 (define @t34 () (and @t28 @t17 @t30 @t32 @t26 @t33)) % 0.39/0.57 (assume @p1 @t4) % 0.39/0.57 (assume @p2 @t5) % 0.39/0.57 (assume @p3 (not @t12)) % 0.39/0.57 (step @p4 :rule instantiate :premises (@p1) :args ((@list @t8 tptp.b tptp.x))) % 0.39/0.57 (step @p5 :rule eq-symm :args (@t14 @t6)) % 0.39/0.57 (step @p6 :rule refl :args (@t5)) % 0.39/0.57 (step @p7 :rule cong :premises (@p6 @p5) :args ((=> @t5 @t15))) % 0.39/0.57 (assume-push @p55 @t5) % 0.39/0.57 (step @p9 :rule instantiate :premises (@p2) :args (@t16)) % 0.39/0.57 (step-pop @p56 :rule scope :premises (@p9)) % 0.39/0.57 (step @p10 :rule process_scope :premises (@p56) :args (@t15)) % 0.39/0.57 (step @p12 :rule eq_resolve :premises (@p10 @p7)) % 0.39/0.57 (step @p13 :rule implies_elim :premises (@p12)) % 0.39/0.57 (step @p14 :rule chain_m_resolution :premises (@p13 @p2) :args (@t17 @t18 (@list @t5))) % 0.39/0.57 (step @p15 :rule instantiate :premises (@p1) :args ((@list @t7 tptp.b @t19))) % 0.39/0.57 (step @p16 :rule instantiate :premises (@p1) :args ((@list tptp.x @t13 tptp.z))) % 0.39/0.57 (step @p17 :rule eq-symm :args (@t22 @t23)) % 0.39/0.57 (step @p18 :rule refl :args (@t4)) % 0.39/0.57 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t4 @t24))) % 0.39/0.57 (assume-push @p57 @t4) % 0.39/0.57 (step @p21 :rule instantiate :premises (@p1) :args (@t25)) % 0.39/0.57 (step-pop @p58 :rule scope :premises (@p21)) % 0.39/0.57 (step @p22 :rule process_scope :premises (@p58) :args (@t24)) % 0.39/0.57 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.39/0.57 (step @p25 :rule implies_elim :premises (@p24)) % 0.39/0.57 (step @p26 :rule chain_m_resolution :premises (@p25 @p1) :args (@t26 @t18 (@list @t4))) % 0.39/0.57 (step @p27 :rule instantiate :premises (@p2) :args ((@list tptp.t @t20))) % 0.39/0.57 (assume-push @p59 @t28) % 0.39/0.57 (assume-push @p60 @t17) % 0.39/0.57 (assume-push @p61 @t30) % 0.39/0.57 (assume-push @p62 @t32) % 0.39/0.57 (assume-push @p63 @t26) % 0.39/0.57 (assume-push @p64 @t33) % 0.39/0.57 (step @p9 :rule instantiate :premises (@p2) :args (@t16)) % 0.39/0.57 (step @p34 :rule refl :args (tptp.x)) % 0.39/0.57 (step @p35 :rule cong :premises (@p34 @p9) :args (@t31)) % 0.39/0.57 (step @p36 :rule refl :args (tptp.z)) % 0.39/0.57 (step @p21 :rule instantiate :premises (@p1) :args (@t25)) % 0.39/0.57 (step @p37 :rule refl :args (tptp.y)) % 0.39/0.57 (step @p38 :rule trans :premises (@p4 @p15 @p27)) % 0.39/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args (@t10)) % 0.39/0.57 (step @p40 :rule trans :premises (@p39 @p21)) % 0.39/0.57 (step @p41 :rule cong :premises (@p40 @p36) :args (@t11)) % 0.39/0.57 (step @p42 :rule trans :premises (@p41 @p16 @p35)) % 0.39/0.57 (step-pop @p65 :rule scope :premises (@p42)) % 0.39/0.57 (step-pop @p66 :rule scope :premises (@p65)) % 0.39/0.57 (step-pop @p67 :rule scope :premises (@p66)) % 0.39/0.57 (step-pop @p68 :rule scope :premises (@p67)) % 0.39/0.57 (step-pop @p69 :rule scope :premises (@p68)) % 0.39/0.57 (step-pop @p70 :rule scope :premises (@p69)) % 0.39/0.57 (step @p43 :rule process_scope :premises (@p70) :args (@t12)) % 0.39/0.57 (step @p50 :rule implies_elim :premises (@p43)) % 0.39/0.57 (step @p51 :rule cnf_and_neg :args (@t34)) % 0.39/0.57 (step @p52 :rule resolution :premises (@p51 @p50) :args (true @t34)) % 0.39/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t12 (not @t28) (not @t17) (not @t30) (not @t32) (not @t26) (not @t33)))) % 0.39/0.57 (step @p54 false :rule chain_m_resolution :premises (@p53 @p27 @p26 @p16 @p15 @p14 @p4 @p3) :args (false (@list false false false false false false true) (@list @t33 @t26 @t32 @t30 @t17 @t28 @t12))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------