%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL063-2 : 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 : n027.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 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL063-2 : 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 % 0.15/0.34 % Computer : n027.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 20:21:36 EDT 2026 % 0.15/0.34 % 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... % 0.44/0.63 % SZS status Unsatisfiable % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.z $$unsorted) % 0.44/0.63 (declare-const tptp.y $$unsorted) % 0.44/0.63 (declare-const tptp.x $$unsorted) % 0.44/0.63 (declare-const tptp.t $$unsorted) % 0.44/0.63 (declare-const tptp.b $$unsorted) % 0.44/0.63 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (define @t1 () (@var "Z" $$unsorted)) % 0.44/0.63 (define @t2 () (@var "Y" $$unsorted)) % 0.44/0.63 (define @t3 () (@var "X" $$unsorted)) % 0.44/0.63 (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))))) % 0.44/0.63 (define @t5 () (tptp.apply tptp.z tptp.y)) % 0.44/0.63 (define @t6 () (tptp.apply tptp.b tptp.b)) % 0.44/0.63 (define @t7 () (tptp.apply @t6 tptp.t)) % 0.44/0.63 (define @t8 () (tptp.apply @t6 @t7)) % 0.44/0.63 (define @t9 () (tptp.apply tptp.t tptp.t)) % 0.44/0.63 (define @t10 () (tptp.apply tptp.t tptp.x)) % 0.44/0.63 (define @t11 () (tptp.apply tptp.t tptp.y)) % 0.44/0.63 (define @t12 () (tptp.apply @t10 (tptp.apply @t11 tptp.z))) % 0.44/0.63 (define @t13 () (tptp.apply @t7 tptp.x)) % 0.44/0.63 (define @t14 () (tptp.apply (tptp.apply tptp.b @t13) tptp.t)) % 0.44/0.63 (define @t15 () (tptp.apply (tptp.apply tptp.b @t10) @t11)) % 0.44/0.63 (define @t16 () (tptp.apply @t15 tptp.z)) % 0.44/0.63 (define @t17 () (= @t16 @t12)) % 0.44/0.63 (assume @p1 @t4) % 0.44/0.63 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.t @t3) @t2) (tptp.apply @t2 @t3)))) % 0.44/0.63 (assume @p3 (not (= (tptp.apply (tptp.apply (tptp.apply (tptp.apply (tptp.apply tptp.b @t9) @t8) tptp.x) tptp.y) tptp.z) (tptp.apply @t5 tptp.x)))) % 0.44/0.63 (step @p4 :rule false_intro :premises (@p3)) % 0.44/0.63 (step @p5 :rule instantiate :premises (@p2) :args ((@list tptp.x @t5))) % 0.44/0.63 (step @p6 :rule instantiate :premises (@p2) :args ((@list tptp.y tptp.z))) % 0.44/0.63 (step @p7 :rule refl :args (@t10)) % 0.44/0.63 (step @p8 :rule cong :premises (@p7 @p6) :args (@t12)) % 0.44/0.63 (step @p9 :rule trans :premises (@p8 @p5)) % 0.44/0.63 (step @p10 :rule refl :args (tptp.z)) % 0.44/0.63 (step @p11 :rule refl :args (tptp.y)) % 0.44/0.63 (step @p12 :rule instantiate :premises (@p1) :args ((@list @t9 @t8 tptp.x))) % 0.44/0.63 (step @p13 :rule symm :premises (@p12)) % 0.44/0.63 (step @p14 :rule instantiate :premises (@p2) :args ((@list tptp.t (tptp.apply @t8 tptp.x)))) % 0.44/0.63 (step @p15 :rule symm :premises (@p14)) % 0.44/0.63 (step @p16 :rule refl :args (tptp.t)) % 0.44/0.63 (step @p17 :rule instantiate :premises (@p1) :args ((@list tptp.b @t7 tptp.x))) % 0.44/0.63 (step @p18 :rule symm :premises (@p17)) % 0.44/0.63 (step @p19 :rule cong :premises (@p18 @p16) :args (@t14)) % 0.44/0.63 (step @p20 :rule trans :premises (@p19 @p15 @p13)) % 0.44/0.63 (step @p21 :rule cong :premises (@p20 @p11) :args ((tptp.apply @t14 tptp.y))) % 0.44/0.63 (step @p22 :rule instantiate :premises (@p1) :args ((@list @t13 tptp.t tptp.y))) % 0.44/0.63 (step @p23 :rule symm :premises (@p22)) % 0.44/0.63 (step @p24 :rule refl :args (@t11)) % 0.44/0.63 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.t tptp.x))) % 0.44/0.63 (step @p26 :rule symm :premises (@p25)) % 0.44/0.63 (step @p27 :rule cong :premises (@p26 @p24) :args (@t15)) % 0.44/0.63 (step @p28 :rule trans :premises (@p27 @p23 @p21)) % 0.44/0.63 (step @p29 :rule cong :premises (@p28 @p10) :args (@t16)) % 0.44/0.63 (step @p30 :rule cong :premises (@p29 @p9) :args (@t17)) % 0.44/0.63 (step @p31 :rule trans :premises (@p30 @p4)) % 0.44/0.63 (step @p32 :rule false_elim :premises (@p31)) % 0.44/0.63 (assume-push @p39 @t4) % 0.44/0.63 (step @p34 :rule instantiate :premises (@p1) :args ((@list @t10 @t11 tptp.z))) % 0.44/0.63 (step-pop @p40 :rule scope :premises (@p34)) % 0.44/0.63 (step @p35 :rule process_scope :premises (@p40) :args (@t17)) % 0.44/0.63 (step @p37 :rule implies_elim :premises (@p35)) % 0.44/0.63 (step @p38 false :rule chain_m_resolution :premises (@p37 @p32 @p1) :args (false (@list true false) (@list @t17 @t4))) % 0.44/0.63 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting 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