%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL002-4 : TPTP v9.2.1. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL002-4 : TPTP v9.2.1. Bugfixed v3.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 20:16:30 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Unsatisfiable % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.fixed_pt $$unsorted) % 0.31/0.55 (declare-const tptp.i $$unsorted) % 0.31/0.55 (declare-const tptp.weak_fixed_point (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.c $$unsorted) % 0.31/0.55 (declare-const tptp.b $$unsorted) % 0.31/0.55 (declare-const tptp.s $$unsorted) % 0.31/0.55 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (define @t1 () (@var "Z" $$unsorted)) % 0.31/0.55 (define @t2 () (@var "Y" $$unsorted)) % 0.31/0.55 (define @t3 () (tptp.apply @t2 @t1)) % 0.31/0.55 (define @t4 () (@var "X" $$unsorted)) % 0.31/0.55 (define @t5 () (tptp.apply @t4 @t1)) % 0.31/0.55 (define @t6 () (@list @t4 @t2 @t1)) % 0.31/0.55 (define @t7 () (tptp.apply tptp.b @t4)) % 0.31/0.55 (define @t8 () (tptp.apply tptp.i @t4)) % 0.31/0.55 (define @t9 () (@list @t4)) % 0.31/0.55 (define @t10 () (forall @t9 (= @t8 @t4))) % 0.31/0.55 (define @t11 () (tptp.apply (tptp.apply tptp.s @t7) tptp.i)) % 0.31/0.55 (define @t12 () (tptp.weak_fixed_point tptp.fixed_pt)) % 0.31/0.55 (define @t13 () (= @t12 (tptp.apply tptp.fixed_pt @t12))) % 0.31/0.55 (define @t14 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.31/0.55 (define @t15 () (tptp.apply (tptp.apply tptp.s @t14) tptp.i)) % 0.31/0.55 (define @t16 () (tptp.apply @t15 @t15)) % 0.31/0.55 (define @t17 () (= @t12 @t16)) % 0.31/0.55 (define @t18 () (tptp.apply tptp.i @t15)) % 0.31/0.55 (define @t19 () (tptp.apply @t14 @t15)) % 0.31/0.55 (define @t20 () (tptp.apply @t19 @t18)) % 0.31/0.55 (define @t21 () (= @t16 @t20)) % 0.31/0.55 (define @t22 () (tptp.apply tptp.fixed_pt @t16)) % 0.31/0.55 (define @t23 () (= (tptp.apply @t19 @t15) @t22)) % 0.31/0.55 (define @t24 () (= @t15 @t18)) % 0.31/0.55 (define @t25 () (and @t17 @t21 @t23 @t24)) % 0.31/0.55 (assume @p1 (forall @t6 (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t4) @t2) @t1) (tptp.apply @t5 @t3)))) % 0.31/0.55 (assume @p2 (forall @t6 (= (tptp.apply (tptp.apply @t7 @t2) @t1) (tptp.apply @t4 @t3)))) % 0.31/0.55 (assume @p3 (forall @t6 (= (tptp.apply (tptp.apply (tptp.apply tptp.c @t4) @t2) @t1) (tptp.apply @t5 @t2)))) % 0.31/0.55 (assume @p4 @t10) % 0.31/0.55 (assume @p5 (forall @t9 (= (tptp.weak_fixed_point @t4) (tptp.apply @t11 @t11)))) % 0.31/0.55 (assume @p6 (not @t13)) % 0.31/0.55 (step @p7 :rule instantiate :premises (@p5) :args ((@list tptp.fixed_pt))) % 0.31/0.55 (step @p8 :rule instantiate :premises (@p1) :args ((@list @t14 tptp.i @t15))) % 0.31/0.55 (step @p9 :rule instantiate :premises (@p2) :args ((@list tptp.fixed_pt @t15 @t15))) % 0.31/0.55 (step @p10 :rule eq-symm :args (@t8 @t4)) % 0.31/0.55 (step @p11 :rule cong :premises (@p10) :args (@t10)) % 0.31/0.55 (step @p12 :rule eq_resolve :premises (@p4 @p11)) % 0.31/0.55 (step @p13 :rule instantiate :premises (@p12) :args ((@list @t15))) % 0.31/0.55 (assume-push @p35 @t17) % 0.31/0.55 (assume-push @p36 @t21) % 0.31/0.55 (assume-push @p37 @t23) % 0.31/0.55 (assume-push @p38 @t24) % 0.31/0.55 (step @p18 :rule symm :premises (@p7)) % 0.31/0.55 (step @p19 :rule refl :args (tptp.fixed_pt)) % 0.31/0.55 (step @p20 :rule cong :premises (@p19 @p18) :args (@t22)) % 0.31/0.55 (step @p21 :rule symm :premises (@p13)) % 0.31/0.55 (step @p22 :rule refl :args (@t19)) % 0.31/0.55 (step @p23 :rule cong :premises (@p22 @p21) :args (@t20)) % 0.31/0.55 (step @p24 :rule trans :premises (@p7 @p8 @p23 @p9 @p20)) % 0.31/0.55 (step-pop @p39 :rule scope :premises (@p24)) % 0.31/0.55 (step-pop @p40 :rule scope :premises (@p39)) % 0.31/0.55 (step-pop @p41 :rule scope :premises (@p40)) % 0.31/0.55 (step-pop @p42 :rule scope :premises (@p41)) % 0.31/0.55 (step @p25 :rule process_scope :premises (@p42) :args (@t13)) % 0.31/0.55 (step @p30 :rule implies_elim :premises (@p25)) % 0.31/0.55 (step @p31 :rule cnf_and_neg :args (@t25)) % 0.31/0.55 (step @p32 :rule resolution :premises (@p31 @p30) :args (true @t25)) % 0.31/0.55 (step @p33 :rule reordering :premises (@p32) :args ((or @t13 (not @t17) (not @t21) (not @t23) (not @t24)))) % 0.31/0.55 (step @p34 false :rule chain_m_resolution :premises (@p33 @p13 @p9 @p8 @p7 @p6) :args (false (@list false false false false true) (@list @t24 @t23 @t21 @t17 @t13))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------