%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL001-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:09:41 AM UTC 2026 % Result : Unsatisfiable 1.32s 1.52s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL001-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 20:16:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.32/1.52 % SZS status Unsatisfiable % 1.32/1.52 % SZS output start Proof % 1.32/1.52 ( % 1.32/1.52 (declare-sort $$unsorted 0) % 1.32/1.52 (declare-const tptp.combinator $$unsorted) % 1.32/1.52 (declare-const tptp.b $$unsorted) % 1.32/1.52 (declare-const tptp.i $$unsorted) % 1.32/1.52 (declare-const tptp.k $$unsorted) % 1.32/1.52 (declare-const tptp.s $$unsorted) % 1.32/1.52 (declare-const tptp.x $$unsorted) % 1.32/1.52 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.52 (define @t1 () (@var "Z" $$unsorted)) % 1.32/1.52 (define @t2 () (@var "Y" $$unsorted)) % 1.32/1.52 (define @t3 () (tptp.apply @t2 @t1)) % 1.32/1.52 (define @t4 () (@var "X" $$unsorted)) % 1.32/1.52 (define @t5 () (@list @t4 @t2 @t1)) % 1.32/1.52 (define @t6 () (tptp.apply tptp.b @t4)) % 1.32/1.52 (define @t7 () (tptp.apply tptp.i @t4)) % 1.32/1.52 (define @t8 () (@list @t4)) % 1.32/1.52 (define @t9 () (forall @t8 (= @t7 @t4))) % 1.32/1.52 (define @t10 () (tptp.apply (tptp.apply tptp.s @t6) tptp.i)) % 1.32/1.52 (define @t11 () (tptp.apply @t10 @t10)) % 1.32/1.52 (define @t12 () (forall (@list @t2) (not (= @t2 (tptp.apply tptp.combinator @t2))))) % 1.32/1.52 (define @t13 () (tptp.apply tptp.b tptp.combinator)) % 1.32/1.52 (define @t14 () (tptp.apply (tptp.apply tptp.s @t13) tptp.i)) % 1.32/1.52 (define @t15 () (tptp.apply tptp.i @t14)) % 1.32/1.52 (define @t16 () (tptp.apply @t14 @t15)) % 1.32/1.52 (define @t17 () (= @t16 (tptp.apply tptp.combinator @t16))) % 1.32/1.52 (assume @p1 (forall @t5 (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t4) @t2) @t1) (tptp.apply (tptp.apply @t4 @t1) @t3)))) % 1.32/1.52 (assume @p2 (forall (@list @t4 @t2) (= (tptp.apply (tptp.apply tptp.k @t4) @t2) @t4))) % 1.32/1.52 (assume @p3 (forall @t5 (= (tptp.apply (tptp.apply @t6 @t2) @t1) (tptp.apply @t4 @t3)))) % 1.32/1.52 (assume @p4 @t9) % 1.32/1.52 (assume @p5 (forall @t8 (= @t11 (tptp.apply tptp.x @t11)))) % 1.32/1.52 (assume @p6 @t12) % 1.32/1.52 (step @p7 :rule instantiate :premises (@p3) :args ((@list tptp.combinator @t14 @t15))) % 1.32/1.52 (step @p8 :rule instantiate :premises (@p1) :args ((@list @t13 tptp.i @t14))) % 1.32/1.52 (step @p9 :rule eq-symm :args (@t7 @t4)) % 1.32/1.52 (step @p10 :rule cong :premises (@p9) :args (@t9)) % 1.32/1.52 (step @p11 :rule eq_resolve :premises (@p4 @p10)) % 1.32/1.52 (step @p12 :rule instantiate :premises (@p11) :args ((@list @t14))) % 1.32/1.52 (step @p13 :rule symm :premises (@p12)) % 1.32/1.52 (step @p14 :rule refl :args (@t14)) % 1.32/1.52 (step @p15 :rule cong :premises (@p14 @p13) :args (@t16)) % 1.32/1.52 (step @p16 :rule trans :premises (@p15 @p8 @p7)) % 1.32/1.52 (assume-push @p23 @t12) % 1.32/1.52 (step @p18 :rule instantiate :premises (@p6) :args ((@list @t16))) % 1.32/1.52 (step-pop @p24 :rule scope :premises (@p18)) % 1.32/1.52 (step @p19 :rule process_scope :premises (@p24) :args ((not @t17))) % 1.32/1.52 (step @p21 :rule implies_elim :premises (@p19)) % 1.32/1.52 (step @p22 false :rule chain_m_resolution :premises (@p21 @p16 @p6) :args (false (@list false false) (@list @t17 @t12))) % 1.32/1.52 ) % 1.32/1.52 % SZS output end Proof % 1.32/1.52 % cvc5 exiting %------------------------------------------------------------------------------