%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL063-5 : 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 : n028.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 0.61s 0.81s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL063-5 : 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 % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 20:18:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.81 % SZS status Unsatisfiable % 0.61/0.81 % SZS output start Proof % 0.61/0.81 ( % 0.61/0.81 (declare-sort $$unsorted 0) % 0.61/0.81 (declare-const tptp.z $$unsorted) % 0.61/0.81 (declare-const tptp.y $$unsorted) % 0.61/0.81 (declare-const tptp.x $$unsorted) % 0.61/0.81 (declare-const tptp.t $$unsorted) % 0.61/0.81 (declare-const tptp.b $$unsorted) % 0.61/0.81 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.81 (define @t1 () (@var "Z" $$unsorted)) % 0.61/0.81 (define @t2 () (@var "Y" $$unsorted)) % 0.61/0.81 (define @t3 () (@var "X" $$unsorted)) % 0.61/0.81 (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))))) % 0.61/0.81 (define @t5 () (tptp.apply tptp.z tptp.y)) % 0.61/0.81 (define @t6 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b)) % 0.61/0.81 (define @t7 () (tptp.apply tptp.t tptp.t)) % 0.61/0.81 (define @t8 () (tptp.apply (tptp.apply tptp.b @t7) @t6)) % 0.61/0.81 (define @t9 () (tptp.apply tptp.t tptp.x)) % 0.61/0.81 (define @t10 () (tptp.apply tptp.t tptp.y)) % 0.61/0.81 (define @t11 () (tptp.apply @t9 (tptp.apply @t10 tptp.z))) % 0.61/0.81 (define @t12 () (tptp.apply tptp.b @t9)) % 0.61/0.81 (define @t13 () (tptp.apply (tptp.apply tptp.b @t12) tptp.t)) % 0.61/0.81 (define @t14 () (tptp.apply (tptp.apply @t12 @t10) tptp.z)) % 0.61/0.81 (define @t15 () (= @t14 @t11)) % 0.61/0.81 (assume @p1 @t4) % 0.61/0.81 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.t @t3) @t2) (tptp.apply @t2 @t3)))) % 0.61/0.81 (assume @p3 (not (= (tptp.apply (tptp.apply (tptp.apply (tptp.apply (tptp.apply tptp.b @t8) tptp.t) tptp.x) tptp.y) tptp.z) (tptp.apply @t5 tptp.x)))) % 0.61/0.81 (step @p4 :rule false_intro :premises (@p3)) % 0.61/0.81 (step @p5 :rule instantiate :premises (@p2) :args ((@list tptp.x @t5))) % 0.61/0.81 (step @p6 :rule instantiate :premises (@p2) :args ((@list tptp.y tptp.z))) % 0.61/0.81 (step @p7 :rule refl :args (@t9)) % 0.61/0.81 (step @p8 :rule cong :premises (@p7 @p6) :args (@t11)) % 0.61/0.81 (step @p9 :rule trans :premises (@p8 @p5)) % 0.61/0.81 (step @p10 :rule refl :args (tptp.z)) % 0.61/0.81 (step @p11 :rule refl :args (tptp.y)) % 0.61/0.81 (step @p12 :rule instantiate :premises (@p1) :args ((@list @t8 tptp.t tptp.x))) % 0.61/0.81 (step @p13 :rule symm :premises (@p12)) % 0.61/0.81 (step @p14 :rule instantiate :premises (@p1) :args ((@list @t7 @t6 @t9))) % 0.61/0.81 (step @p15 :rule symm :premises (@p14)) % 0.61/0.81 (step @p16 :rule instantiate :premises (@p2) :args ((@list tptp.t (tptp.apply @t6 @t9)))) % 0.61/0.81 (step @p17 :rule symm :premises (@p16)) % 0.61/0.81 (step @p18 :rule refl :args (tptp.t)) % 0.61/0.81 (step @p19 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b @t9))) % 0.61/0.81 (step @p20 :rule symm :premises (@p19)) % 0.61/0.81 (step @p21 :rule cong :premises (@p20 @p18) :args (@t13)) % 0.61/0.81 (step @p22 :rule trans :premises (@p21 @p17 @p15 @p13)) % 0.61/0.81 (step @p23 :rule cong :premises (@p22 @p11) :args ((tptp.apply @t13 tptp.y))) % 0.61/0.81 (step @p24 :rule instantiate :premises (@p1) :args ((@list @t12 tptp.t tptp.y))) % 0.61/0.81 (step @p25 :rule symm :premises (@p24)) % 0.61/0.81 (step @p26 :rule trans :premises (@p25 @p23)) % 0.61/0.81 (step @p27 :rule cong :premises (@p26 @p10) :args (@t14)) % 0.61/0.81 (step @p28 :rule cong :premises (@p27 @p9) :args (@t15)) % 0.61/0.81 (step @p29 :rule trans :premises (@p28 @p4)) % 0.61/0.81 (step @p30 :rule false_elim :premises (@p29)) % 0.61/0.81 (assume-push @p37 @t4) % 0.61/0.81 (step @p32 :rule instantiate :premises (@p1) :args ((@list @t9 @t10 tptp.z))) % 0.61/0.81 (step-pop @p38 :rule scope :premises (@p32)) % 0.61/0.81 (step @p33 :rule process_scope :premises (@p38) :args (@t15)) % 0.61/0.81 (step @p35 :rule implies_elim :premises (@p33)) % 0.61/0.81 (step @p36 false :rule chain_m_resolution :premises (@p35 @p30 @p1) :args (false (@list true false) (@list @t15 @t4))) % 0.61/0.81 ) % 0.61/0.81 % SZS output end Proof % 0.61/0.81 % cvc5 exiting %------------------------------------------------------------------------------