%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT007-1 : 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 : 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 08:09:23 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.67s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.17 % Problem : CAT007-1 : TPTP v9.2.1. Released v1.0.0. % 0.09/0.18 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.42 % Computer : n020.cluster.edu % 0.17/0.42 % Model : x86_64 x86_64 % 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.42 % Memory : 8042.1875MB % 0.17/0.42 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.42 % CPULimit : 300 % 0.17/0.42 % WCLimit : 300 % 0.17/0.42 % DateTime : Wed Jun 3 02:54:41 EDT 2026 % 0.17/0.42 % CPUTime : % 0.34/0.61 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.67 % SZS status Unsatisfiable % 0.38/0.67 % SZS output start Proof % 0.38/0.68 ( % 0.38/0.68 (declare-sort $$unsorted 0) % 0.38/0.68 (declare-const tptp.a $$unsorted) % 0.38/0.68 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.38/0.68 (declare-const tptp.identity_map (-> $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.b $$unsorted) % 0.38/0.68 (declare-const tptp.defined (-> $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.68 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.68 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.68 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.68 (define @t3 () (tptp.defined @t2 @t1)) % 0.38/0.68 (define @t4 () (not @t3)) % 0.38/0.68 (define @t5 () (@list @t2 @t1)) % 0.38/0.68 (define @t6 () (@var "Z" $$unsorted)) % 0.38/0.68 (define @t7 () (not (tptp.product @t2 @t1 @t6))) % 0.38/0.68 (define @t8 () (@list @t2 @t1 @t6)) % 0.38/0.68 (define @t9 () (tptp.defined @t1 @t6)) % 0.38/0.68 (define @t10 () (@var "Xy" $$unsorted)) % 0.38/0.68 (define @t11 () (tptp.defined @t10 @t6)) % 0.38/0.68 (define @t12 () (not @t11)) % 0.38/0.68 (define @t13 () (not (tptp.product @t2 @t1 @t10))) % 0.38/0.68 (define @t14 () (@var "Yz" $$unsorted)) % 0.38/0.68 (define @t15 () (tptp.defined @t2 @t14)) % 0.38/0.68 (define @t16 () (not (tptp.product @t1 @t6 @t14))) % 0.38/0.68 (define @t17 () (@var "Xyz" $$unsorted)) % 0.38/0.68 (define @t18 () (tptp.product @t2 @t14 @t17)) % 0.38/0.68 (define @t19 () (tptp.product @t10 @t6 @t17)) % 0.38/0.68 (define @t20 () (not @t15)) % 0.38/0.68 (define @t21 () (not (tptp.identity_map @t1))) % 0.38/0.68 (define @t22 () (forall @t8 (or @t4 (not @t9) @t21 (tptp.defined @t2 @t6)))) % 0.38/0.68 (define @t23 () (tptp.domain @t2)) % 0.38/0.68 (define @t24 () (@list @t2)) % 0.38/0.68 (define @t25 () (tptp.codomain @t2)) % 0.38/0.68 (define @t26 () (@var "W" $$unsorted)) % 0.38/0.68 (define @t27 () (tptp.domain tptp.a)) % 0.38/0.68 (define @t28 () (tptp.defined tptp.a tptp.b)) % 0.38/0.68 (define @t29 () (tptp.defined @t27 tptp.b)) % 0.38/0.68 (define @t30 () (@list tptp.a)) % 0.38/0.68 (define @t31 () (tptp.identity_map @t27)) % 0.38/0.68 (define @t32 () (not @t31)) % 0.38/0.68 (define @t33 () (not @t29)) % 0.38/0.68 (define @t34 () (tptp.defined tptp.a @t27)) % 0.38/0.68 (define @t35 () (not @t34)) % 0.38/0.68 (define @t36 () (or @t35 @t33 @t32 @t28)) % 0.38/0.68 (define @t37 () (not @t36)) % 0.38/0.68 (assume @p1 (forall @t5 (or @t4 (tptp.product @t2 @t1 (tptp.compose @t2 @t1))))) % 0.38/0.68 (assume @p2 (forall @t8 (or @t7 @t3))) % 0.38/0.68 (assume @p3 (forall (@list @t2 @t1 @t10 @t6) (or @t13 @t12 @t9))) % 0.38/0.68 (assume @p4 (forall (@list @t2 @t1 @t10 @t6 @t14) (or @t13 @t16 @t12 @t15))) % 0.38/0.68 (assume @p5 (forall (@list @t2 @t1 @t10 @t6 @t17 @t14) (or @t13 (not @t19) @t16 @t18))) % 0.38/0.68 (assume @p6 (forall (@list @t1 @t6 @t14 @t2) (or @t16 @t20 @t3))) % 0.38/0.68 (assume @p7 (forall (@list @t1 @t6 @t14 @t2 @t10) (or @t16 @t13 @t20 @t11))) % 0.38/0.68 (assume @p8 (forall (@list @t1 @t6 @t14 @t2 @t17 @t10) (or @t16 (not @t18) @t13 @t19))) % 0.38/0.68 (assume @p9 @t22) % 0.38/0.68 (assume @p10 (forall @t24 (tptp.identity_map @t23))) % 0.38/0.68 (assume @p11 (forall @t24 (tptp.identity_map @t25))) % 0.38/0.68 (assume @p12 (forall @t24 (tptp.defined @t2 @t23))) % 0.38/0.68 (assume @p13 (forall @t24 (tptp.defined @t25 @t2))) % 0.38/0.68 (assume @p14 (forall @t24 (tptp.product @t2 @t23 @t2))) % 0.38/0.68 (assume @p15 (forall @t24 (tptp.product @t25 @t2 @t2))) % 0.38/0.68 (assume @p16 (forall @t5 (or @t4 (not (tptp.identity_map @t2)) (tptp.product @t2 @t1 @t1)))) % 0.38/0.68 (assume @p17 (forall @t5 (or @t4 @t21 (tptp.product @t2 @t1 @t2)))) % 0.38/0.68 (assume @p18 (forall (@list @t2 @t1 @t6 @t26) (or @t7 (not (tptp.product @t2 @t1 @t26)) (= @t6 @t26)))) % 0.38/0.68 (assume @p19 (= @t27 (tptp.codomain tptp.b))) % 0.38/0.68 (assume @p20 (not @t28)) % 0.38/0.68 (step @p21 :rule instantiate :premises (@p13) :args ((@list tptp.b))) % 0.38/0.68 (step @p22 :rule true_intro :premises (@p21)) % 0.38/0.68 (step @p23 :rule refl :args (tptp.b)) % 0.38/0.68 (step @p24 :rule cong :premises (@p19 @p23) :args (@t29)) % 0.38/0.68 (step @p25 :rule trans :premises (@p24 @p22)) % 0.38/0.68 (step @p26 :rule true_elim :premises (@p25)) % 0.38/0.68 (step @p27 :rule instantiate :premises (@p12) :args (@t30)) % 0.38/0.68 (step @p28 :rule instantiate :premises (@p10) :args (@t30)) % 0.38/0.68 (step @p29 :rule cnf_or_pos :args (@t36)) % 0.38/0.68 (step @p30 :rule reordering :premises (@p29) :args ((or @t28 @t32 @t35 @t33 @t37))) % 0.38/0.68 (step @p31 :rule chain_m_resolution :premises (@p30 @p20 @p28 @p27 @p26) :args (@t37 (@list true false false false) (@list @t28 @t31 @t34 @t29))) % 0.38/0.68 (assume-push @p38 @t22) % 0.38/0.68 (step @p33 :rule instantiate :premises (@p9) :args ((@list tptp.a @t27 tptp.b))) % 0.38/0.68 (step-pop @p39 :rule scope :premises (@p33)) % 0.38/0.68 (step @p34 :rule process_scope :premises (@p39) :args (@t36)) % 0.38/0.68 (step @p36 :rule implies_elim :premises (@p34)) % 0.38/0.68 (step @p37 false :rule chain_m_resolution :premises (@p36 @p31 @p9) :args (false (@list true false) (@list @t36 @t22))) % 0.38/0.68 ) % 0.38/0.68 % SZS output end Proof % 0.38/0.68 % cvc5 exiting %------------------------------------------------------------------------------