%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT005-1 : 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 : n022.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 08:09:22 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.83s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.24 % Problem : CAT005-1 : TPTP v9.2.1. Released v1.0.0. % 0.06/0.25 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.47 % Computer : n022.cluster.edu % 0.17/0.47 % Model : x86_64 x86_64 % 0.17/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.47 % Memory : 8042.1875MB % 0.17/0.47 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.47 % CPULimit : 300 % 0.17/0.47 % WCLimit : 300 % 0.17/0.47 % DateTime : Wed Jun 3 02:53:43 EDT 2026 % 0.17/0.47 % CPUTime : % 0.31/0.76 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.83 % SZS status Unsatisfiable % 0.35/0.83 % SZS output start Proof % 0.35/0.83 ( % 0.35/0.83 (declare-sort $$unsorted 0) % 0.35/0.83 (declare-const tptp.a $$unsorted) % 0.35/0.83 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.35/0.83 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.35/0.83 (declare-const tptp.identity_map (-> $$unsorted Bool)) % 0.35/0.83 (declare-const tptp.d $$unsorted) % 0.35/0.83 (declare-const tptp.defined (-> $$unsorted $$unsorted Bool)) % 0.35/0.83 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.83 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.83 (define @t1 () (@var "Y" $$unsorted)) % 0.35/0.83 (define @t2 () (@var "X" $$unsorted)) % 0.35/0.83 (define @t3 () (tptp.defined @t2 @t1)) % 0.35/0.83 (define @t4 () (not @t3)) % 0.35/0.83 (define @t5 () (@list @t2 @t1)) % 0.35/0.83 (define @t6 () (@var "Z" $$unsorted)) % 0.35/0.83 (define @t7 () (not (tptp.product @t2 @t1 @t6))) % 0.35/0.83 (define @t8 () (@list @t2 @t1 @t6)) % 0.35/0.83 (define @t9 () (tptp.defined @t1 @t6)) % 0.35/0.83 (define @t10 () (@var "Xy" $$unsorted)) % 0.35/0.83 (define @t11 () (tptp.defined @t10 @t6)) % 0.35/0.83 (define @t12 () (not @t11)) % 0.35/0.83 (define @t13 () (not (tptp.product @t2 @t1 @t10))) % 0.35/0.83 (define @t14 () (@var "Yz" $$unsorted)) % 0.35/0.83 (define @t15 () (tptp.defined @t2 @t14)) % 0.35/0.83 (define @t16 () (not (tptp.product @t1 @t6 @t14))) % 0.35/0.83 (define @t17 () (@var "Xyz" $$unsorted)) % 0.35/0.83 (define @t18 () (tptp.product @t2 @t14 @t17)) % 0.35/0.83 (define @t19 () (tptp.product @t10 @t6 @t17)) % 0.35/0.83 (define @t20 () (not @t15)) % 0.35/0.83 (define @t21 () (not (tptp.identity_map @t1))) % 0.35/0.83 (define @t22 () (tptp.domain @t2)) % 0.35/0.83 (define @t23 () (@list @t2)) % 0.35/0.83 (define @t24 () (tptp.codomain @t2)) % 0.35/0.83 (define @t25 () (@var "W" $$unsorted)) % 0.35/0.83 (define @t26 () (forall (@list @t2 @t1 @t6 @t25) (or @t7 (not (tptp.product @t2 @t1 @t25)) (= @t6 @t25)))) % 0.35/0.83 (define @t27 () (tptp.defined tptp.a tptp.d)) % 0.35/0.83 (define @t28 () (tptp.identity_map tptp.d)) % 0.35/0.83 (define @t29 () (tptp.domain tptp.a)) % 0.35/0.83 (define @t30 () (= @t29 tptp.d)) % 0.35/0.83 (define @t31 () (@list @t29 tptp.d)) % 0.35/0.83 (define @t32 () (@list tptp.a)) % 0.35/0.83 (define @t33 () (tptp.defined @t29 tptp.d)) % 0.35/0.83 (define @t34 () (not @t27)) % 0.35/0.83 (define @t35 () (tptp.product tptp.a @t29 tptp.a)) % 0.35/0.83 (define @t36 () (not @t35)) % 0.35/0.83 (define @t37 () (or @t36 @t34 @t33)) % 0.35/0.83 (define @t38 () (@list false false false)) % 0.35/0.83 (define @t39 () (tptp.product @t29 tptp.d @t29)) % 0.35/0.83 (define @t40 () (not @t28)) % 0.35/0.83 (define @t41 () (not @t33)) % 0.35/0.83 (define @t42 () (or @t41 @t40 @t39)) % 0.35/0.83 (define @t43 () (tptp.product @t29 tptp.d tptp.d)) % 0.35/0.83 (define @t44 () (tptp.identity_map @t29)) % 0.35/0.83 (define @t45 () (not @t44)) % 0.35/0.83 (define @t46 () (or @t41 @t45 @t43)) % 0.35/0.83 (define @t47 () (= tptp.d @t29)) % 0.35/0.83 (define @t48 () (not @t43)) % 0.35/0.83 (define @t49 () (not @t39)) % 0.35/0.83 (define @t50 () (or @t49 @t48 @t47)) % 0.35/0.83 (define @t51 () (not @t50)) % 0.35/0.83 (define @t52 () (or @t49 @t48 @t30)) % 0.35/0.83 (assume @p1 (forall @t5 (or @t4 (tptp.product @t2 @t1 (tptp.compose @t2 @t1))))) % 0.35/0.83 (assume @p2 (forall @t8 (or @t7 @t3))) % 0.35/0.83 (assume @p3 (forall (@list @t2 @t1 @t10 @t6) (or @t13 @t12 @t9))) % 0.35/0.83 (assume @p4 (forall (@list @t2 @t1 @t10 @t6 @t14) (or @t13 @t16 @t12 @t15))) % 0.35/0.83 (assume @p5 (forall (@list @t2 @t1 @t10 @t6 @t17 @t14) (or @t13 (not @t19) @t16 @t18))) % 0.35/0.83 (assume @p6 (forall (@list @t1 @t6 @t14 @t2) (or @t16 @t20 @t3))) % 0.35/0.83 (assume @p7 (forall (@list @t1 @t6 @t14 @t2 @t10) (or @t16 @t13 @t20 @t11))) % 0.35/0.83 (assume @p8 (forall (@list @t1 @t6 @t14 @t2 @t17 @t10) (or @t16 (not @t18) @t13 @t19))) % 0.35/0.83 (assume @p9 (forall @t8 (or @t4 (not @t9) @t21 (tptp.defined @t2 @t6)))) % 0.35/0.83 (assume @p10 (forall @t23 (tptp.identity_map @t22))) % 0.35/0.83 (assume @p11 (forall @t23 (tptp.identity_map @t24))) % 0.35/0.83 (assume @p12 (forall @t23 (tptp.defined @t2 @t22))) % 0.35/0.83 (assume @p13 (forall @t23 (tptp.defined @t24 @t2))) % 0.35/0.83 (assume @p14 (forall @t23 (tptp.product @t2 @t22 @t2))) % 0.35/0.83 (assume @p15 (forall @t23 (tptp.product @t24 @t2 @t2))) % 0.35/0.83 (assume @p16 (forall @t5 (or @t4 (not (tptp.identity_map @t2)) (tptp.product @t2 @t1 @t1)))) % 0.35/0.83 (assume @p17 (forall @t5 (or @t4 @t21 (tptp.product @t2 @t1 @t2)))) % 0.35/0.83 (assume @p18 @t26) % 0.35/0.83 (assume @p19 @t27) % 0.35/0.83 (assume @p20 @t28) % 0.35/0.83 (assume @p21 (not @t30)) % 0.35/0.83 (step @p22 :rule instantiate :premises (@p17) :args (@t31)) % 0.35/0.83 (step @p23 :rule instantiate :premises (@p3) :args ((@list tptp.a @t29 tptp.a tptp.d))) % 0.35/0.83 (step @p24 :rule instantiate :premises (@p14) :args (@t32)) % 0.35/0.83 (step @p25 :rule cnf_or_pos :args (@t37)) % 0.35/0.83 (step @p26 :rule reordering :premises (@p25) :args ((or @t34 @t36 @t33 (not @t37)))) % 0.35/0.83 (step @p27 :rule chain_m_resolution :premises (@p26 @p19 @p24 @p23) :args (@t33 @t38 (@list @t27 @t35 @t37))) % 0.35/0.83 (step @p28 :rule cnf_or_pos :args (@t42)) % 0.35/0.83 (step @p29 :rule reordering :premises (@p28) :args ((or @t40 @t41 @t39 (not @t42)))) % 0.35/0.83 (step @p30 :rule chain_m_resolution :premises (@p29 @p20 @p27 @p22) :args (@t39 @t38 (@list @t28 @t33 @t42))) % 0.35/0.83 (step @p31 :rule instantiate :premises (@p16) :args (@t31)) % 0.35/0.83 (step @p32 :rule instantiate :premises (@p10) :args (@t32)) % 0.35/0.83 (step @p33 :rule cnf_or_pos :args (@t46)) % 0.35/0.83 (step @p34 :rule reordering :premises (@p33) :args ((or @t45 @t41 @t43 (not @t46)))) % 0.35/0.83 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p27 @p31) :args (@t43 @t38 (@list @t44 @t33 @t46))) % 0.35/0.83 (step @p36 :rule symm :premises (@p21)) % 0.35/0.83 (step @p37 :rule cnf_or_pos :args (@t50)) % 0.35/0.83 (step @p38 :rule reordering :premises (@p37) :args ((or @t47 @t48 @t49 @t51))) % 0.35/0.83 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p35 @p30) :args (@t51 (@list true false false) (@list @t47 @t43 @t39))) % 0.35/0.83 (step @p40 :rule eq-symm :args (@t29 tptp.d)) % 0.35/0.83 (step @p41 :rule refl :args (@t48)) % 0.35/0.83 (step @p42 :rule refl :args (@t49)) % 0.35/0.83 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args (@t52)) % 0.35/0.83 (step @p44 :rule refl :args (@t26)) % 0.35/0.83 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t26 @t52))) % 0.35/0.83 (assume-push @p53 @t26) % 0.35/0.83 (step @p47 :rule instantiate :premises (@p18) :args ((@list @t29 tptp.d @t29 tptp.d))) % 0.35/0.83 (step-pop @p54 :rule scope :premises (@p47)) % 0.35/0.83 (step @p48 :rule process_scope :premises (@p54) :args (@t52)) % 0.35/0.83 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 0.35/0.83 (step @p51 :rule implies_elim :premises (@p50)) % 0.35/0.83 (step @p52 false :rule chain_m_resolution :premises (@p51 @p39 @p18) :args (false (@list true false) (@list @t50 @t26))) % 0.35/0.83 ) % 0.35/0.84 % SZS output end Proof % 0.35/0.84 % cvc5 exiting %------------------------------------------------------------------------------