%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL002-5 : TPTP v9.2.1. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:09:42 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.56s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL002-5 : TPTP v9.2.1. Bugfixed v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 20:16:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.56 % SZS status Unsatisfiable % 0.31/0.56 % SZS output start Proof % 0.31/0.56 ( % 0.31/0.56 (declare-sort $$unsorted 0) % 0.31/0.56 (declare-const tptp.fixed_pt $$unsorted) % 0.31/0.56 (declare-const tptp.i $$unsorted) % 0.31/0.56 (declare-const tptp.weak_fixed_point (-> $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.c $$unsorted) % 0.31/0.56 (declare-const tptp.b $$unsorted) % 0.31/0.56 (declare-const tptp.s $$unsorted) % 0.31/0.56 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.56 (define @t1 () (@var "Z" $$unsorted)) % 0.31/0.56 (define @t2 () (@var "Y" $$unsorted)) % 0.31/0.56 (define @t3 () (tptp.apply @t2 @t1)) % 0.31/0.56 (define @t4 () (@var "X" $$unsorted)) % 0.31/0.56 (define @t5 () (tptp.apply @t4 @t1)) % 0.31/0.56 (define @t6 () (@list @t4 @t2 @t1)) % 0.31/0.56 (define @t7 () (tptp.apply tptp.b @t4)) % 0.31/0.56 (define @t8 () (forall @t6 (= (tptp.apply (tptp.apply (tptp.apply tptp.c @t4) @t2) @t1) (tptp.apply @t5 @t2)))) % 0.31/0.56 (define @t9 () (@list @t4)) % 0.31/0.56 (define @t10 () (tptp.apply tptp.s (tptp.apply tptp.c @t7))) % 0.31/0.56 (define @t11 () (tptp.weak_fixed_point tptp.fixed_pt)) % 0.31/0.56 (define @t12 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.31/0.56 (define @t13 () (tptp.apply tptp.c @t12)) % 0.31/0.56 (define @t14 () (tptp.apply tptp.s @t13)) % 0.31/0.56 (define @t15 () (tptp.apply @t14 @t14)) % 0.31/0.56 (define @t16 () (= (tptp.apply (tptp.apply @t13 @t14) @t15) (tptp.apply (tptp.apply @t12 @t15) @t14))) % 0.31/0.56 (assume @p1 (forall @t6 (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t4) @t2) @t1) (tptp.apply @t5 @t3)))) % 0.31/0.56 (assume @p2 (forall @t6 (= (tptp.apply (tptp.apply @t7 @t2) @t1) (tptp.apply @t4 @t3)))) % 0.31/0.56 (assume @p3 @t8) % 0.31/0.56 (assume @p4 (forall @t9 (= (tptp.apply tptp.i @t4) @t4))) % 0.31/0.56 (assume @p5 (forall @t9 (= (tptp.weak_fixed_point @t4) (tptp.apply (tptp.apply @t10 @t10) @t10)))) % 0.31/0.56 (assume @p6 (not (= @t11 (tptp.apply tptp.fixed_pt @t11)))) % 0.31/0.56 (step @p7 :rule false_intro :premises (@p6)) % 0.31/0.56 (step @p8 :rule instantiate :premises (@p5) :args ((@list tptp.fixed_pt))) % 0.31/0.56 (step @p9 :rule symm :premises (@p8)) % 0.31/0.56 (step @p10 :rule refl :args (tptp.fixed_pt)) % 0.31/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args ((tptp.apply tptp.fixed_pt (tptp.apply @t15 @t14)))) % 0.31/0.56 (step @p12 :rule instantiate :premises (@p2) :args ((@list tptp.fixed_pt @t15 @t14))) % 0.31/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.31/0.56 (step @p14 :rule instantiate :premises (@p1) :args ((@list @t13 @t14 @t14))) % 0.31/0.56 (step @p15 :rule symm :premises (@p14)) % 0.31/0.56 (step @p16 :rule trans :premises (@p15 @p9)) % 0.31/0.56 (step @p17 :rule cong :premises (@p16 @p13) :args (@t16)) % 0.31/0.56 (step @p18 :rule trans :premises (@p17 @p7)) % 0.31/0.56 (step @p19 :rule false_elim :premises (@p18)) % 0.31/0.56 (assume-push @p26 @t8) % 0.31/0.56 (step @p21 :rule instantiate :premises (@p3) :args ((@list @t12 @t14 @t15))) % 0.31/0.56 (step-pop @p27 :rule scope :premises (@p21)) % 0.31/0.56 (step @p22 :rule process_scope :premises (@p27) :args (@t16)) % 0.31/0.56 (step @p24 :rule implies_elim :premises (@p22)) % 0.31/0.56 (step @p25 false :rule chain_m_resolution :premises (@p24 @p19 @p3) :args (false (@list true false) (@list @t16 @t8))) % 0.31/0.56 ) % 0.31/0.56 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------