%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT008-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 0.35s 0.63s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.15 % Problem : CAT008-1 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.16 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.38 % Computer : n016.cluster.edu % 0.19/0.38 % Model : x86_64 x86_64 % 0.19/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.38 % Memory : 8042.1875MB % 0.19/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.38 % CPULimit : 300 % 0.19/0.38 % WCLimit : 300 % 0.19/0.38 % DateTime : Wed Jun 3 02:54:55 EDT 2026 % 0.19/0.38 % CPUTime : % 0.28/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.63 % SZS status Unsatisfiable % 0.35/0.63 % SZS output start Proof % 0.35/0.63 ( % 0.35/0.63 (declare-sort $$unsorted 0) % 0.35/0.63 (declare-const tptp.a $$unsorted) % 0.35/0.63 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.35/0.63 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.35/0.63 (declare-const tptp.identity_map (-> $$unsorted Bool)) % 0.35/0.63 (declare-const tptp.b $$unsorted) % 0.35/0.63 (declare-const tptp.defined (-> $$unsorted $$unsorted Bool)) % 0.35/0.63 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.63 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.35/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.35/0.63 (define @t3 () (tptp.defined @t2 @t1)) % 0.35/0.63 (define @t4 () (not @t3)) % 0.35/0.63 (define @t5 () (@list @t2 @t1)) % 0.35/0.63 (define @t6 () (@var "Z" $$unsorted)) % 0.35/0.63 (define @t7 () (not (tptp.product @t2 @t1 @t6))) % 0.35/0.63 (define @t8 () (@list @t2 @t1 @t6)) % 0.35/0.63 (define @t9 () (tptp.defined @t1 @t6)) % 0.35/0.63 (define @t10 () (@var "Xy" $$unsorted)) % 0.35/0.63 (define @t11 () (tptp.defined @t10 @t6)) % 0.35/0.63 (define @t12 () (not @t11)) % 0.35/0.63 (define @t13 () (not (tptp.product @t2 @t1 @t10))) % 0.35/0.63 (define @t14 () (@var "Yz" $$unsorted)) % 0.35/0.63 (define @t15 () (tptp.defined @t2 @t14)) % 0.35/0.63 (define @t16 () (not (tptp.product @t1 @t6 @t14))) % 0.35/0.63 (define @t17 () (@var "Xyz" $$unsorted)) % 0.35/0.63 (define @t18 () (tptp.product @t2 @t14 @t17)) % 0.35/0.63 (define @t19 () (tptp.product @t10 @t6 @t17)) % 0.35/0.63 (define @t20 () (not @t15)) % 0.35/0.63 (define @t21 () (not (tptp.identity_map @t1))) % 0.35/0.63 (define @t22 () (tptp.domain @t2)) % 0.35/0.63 (define @t23 () (@list @t2)) % 0.35/0.63 (define @t24 () (tptp.codomain @t2)) % 0.35/0.63 (define @t25 () (@var "W" $$unsorted)) % 0.35/0.63 (define @t26 () (forall (@list @t2 @t1 @t6 @t25) (or @t7 (not (tptp.product @t2 @t1 @t25)) (= @t6 @t25)))) % 0.35/0.63 (define @t27 () (tptp.defined tptp.a tptp.b)) % 0.35/0.63 (define @t28 () (tptp.codomain tptp.b)) % 0.35/0.63 (define @t29 () (tptp.domain tptp.a)) % 0.35/0.63 (define @t30 () (= @t29 @t28)) % 0.35/0.63 (define @t31 () (@list @t28 @t29)) % 0.35/0.63 (define @t32 () (@list tptp.a)) % 0.35/0.63 (define @t33 () (tptp.defined @t29 tptp.b)) % 0.35/0.63 (define @t34 () (not @t27)) % 0.35/0.63 (define @t35 () (tptp.product tptp.a @t29 tptp.a)) % 0.35/0.63 (define @t36 () (not @t35)) % 0.35/0.63 (define @t37 () (or @t36 @t34 @t33)) % 0.35/0.63 (define @t38 () (@list false false false)) % 0.35/0.63 (define @t39 () (tptp.product @t29 tptp.b tptp.b)) % 0.35/0.64 (define @t40 () (tptp.identity_map @t29)) % 0.35/0.64 (define @t41 () (not @t40)) % 0.35/0.64 (define @t42 () (not @t33)) % 0.35/0.64 (define @t43 () (or @t42 @t41 @t39)) % 0.35/0.64 (define @t44 () (@list tptp.b)) % 0.35/0.64 (define @t45 () (tptp.defined @t28 @t29)) % 0.35/0.64 (define @t46 () (tptp.defined @t28 tptp.b)) % 0.35/0.64 (define @t47 () (not @t46)) % 0.35/0.64 (define @t48 () (not @t39)) % 0.35/0.64 (define @t49 () (or @t48 @t47 @t45)) % 0.35/0.64 (define @t50 () (tptp.product @t28 @t29 @t28)) % 0.35/0.64 (define @t51 () (not @t45)) % 0.35/0.64 (define @t52 () (or @t51 @t41 @t50)) % 0.35/0.64 (define @t53 () (tptp.product @t28 @t29 @t29)) % 0.35/0.64 (define @t54 () (tptp.identity_map @t28)) % 0.35/0.64 (define @t55 () (not @t54)) % 0.35/0.64 (define @t56 () (or @t51 @t55 @t53)) % 0.35/0.64 (define @t57 () (not @t53)) % 0.35/0.64 (define @t58 () (not @t50)) % 0.35/0.64 (define @t59 () (or @t58 @t57 @t30)) % 0.35/0.64 (define @t60 () (not @t59)) % 0.35/0.64 (define @t61 () (or @t58 @t57 (= @t28 @t29))) % 0.35/0.64 (assume @p1 (forall @t5 (or @t4 (tptp.product @t2 @t1 (tptp.compose @t2 @t1))))) % 0.35/0.64 (assume @p2 (forall @t8 (or @t7 @t3))) % 0.35/0.64 (assume @p3 (forall (@list @t2 @t1 @t10 @t6) (or @t13 @t12 @t9))) % 0.35/0.64 (assume @p4 (forall (@list @t2 @t1 @t10 @t6 @t14) (or @t13 @t16 @t12 @t15))) % 0.35/0.64 (assume @p5 (forall (@list @t2 @t1 @t10 @t6 @t17 @t14) (or @t13 (not @t19) @t16 @t18))) % 0.35/0.64 (assume @p6 (forall (@list @t1 @t6 @t14 @t2) (or @t16 @t20 @t3))) % 0.35/0.64 (assume @p7 (forall (@list @t1 @t6 @t14 @t2 @t10) (or @t16 @t13 @t20 @t11))) % 0.35/0.64 (assume @p8 (forall (@list @t1 @t6 @t14 @t2 @t17 @t10) (or @t16 (not @t18) @t13 @t19))) % 0.35/0.64 (assume @p9 (forall @t8 (or @t4 (not @t9) @t21 (tptp.defined @t2 @t6)))) % 0.35/0.64 (assume @p10 (forall @t23 (tptp.identity_map @t22))) % 0.35/0.64 (assume @p11 (forall @t23 (tptp.identity_map @t24))) % 0.35/0.64 (assume @p12 (forall @t23 (tptp.defined @t2 @t22))) % 0.35/0.64 (assume @p13 (forall @t23 (tptp.defined @t24 @t2))) % 0.35/0.64 (assume @p14 (forall @t23 (tptp.product @t2 @t22 @t2))) % 0.35/0.64 (assume @p15 (forall @t23 (tptp.product @t24 @t2 @t2))) % 0.35/0.64 (assume @p16 (forall @t5 (or @t4 (not (tptp.identity_map @t2)) (tptp.product @t2 @t1 @t1)))) % 0.35/0.64 (assume @p17 (forall @t5 (or @t4 @t21 (tptp.product @t2 @t1 @t2)))) % 0.35/0.64 (assume @p18 @t26) % 0.35/0.64 (assume @p19 @t27) % 0.35/0.64 (assume @p20 (not @t30)) % 0.35/0.64 (step @p21 :rule instantiate :premises (@p17) :args (@t31)) % 0.35/0.64 (step @p22 :rule instantiate :premises (@p6) :args ((@list @t29 tptp.b tptp.b @t28))) % 0.35/0.64 (step @p23 :rule instantiate :premises (@p16) :args ((@list @t29 tptp.b))) % 0.35/0.64 (step @p24 :rule instantiate :premises (@p3) :args ((@list tptp.a @t29 tptp.a tptp.b))) % 0.35/0.64 (step @p25 :rule instantiate :premises (@p14) :args (@t32)) % 0.35/0.64 (step @p26 :rule cnf_or_pos :args (@t37)) % 0.35/0.64 (step @p27 :rule reordering :premises (@p26) :args ((or @t34 @t36 @t33 (not @t37)))) % 0.35/0.64 (step @p28 :rule chain_m_resolution :premises (@p27 @p19 @p25 @p24) :args (@t33 @t38 (@list @t27 @t35 @t37))) % 0.35/0.64 (step @p29 :rule instantiate :premises (@p10) :args (@t32)) % 0.35/0.64 (step @p30 :rule cnf_or_pos :args (@t43)) % 0.35/0.64 (step @p31 :rule reordering :premises (@p30) :args ((or @t41 @t42 @t39 (not @t43)))) % 0.35/0.64 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p28 @p23) :args (@t39 @t38 (@list @t40 @t33 @t43))) % 0.35/0.64 (step @p33 :rule instantiate :premises (@p13) :args (@t44)) % 0.35/0.64 (step @p34 :rule cnf_or_pos :args (@t49)) % 0.35/0.64 (step @p35 :rule reordering :premises (@p34) :args ((or @t47 @t48 @t45 (not @t49)))) % 0.35/0.64 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p32 @p22) :args (@t45 @t38 (@list @t46 @t39 @t49))) % 0.35/0.64 (step @p37 :rule cnf_or_pos :args (@t52)) % 0.35/0.64 (step @p38 :rule reordering :premises (@p37) :args ((or @t41 @t51 @t50 (not @t52)))) % 0.35/0.64 (step @p39 :rule chain_m_resolution :premises (@p38 @p29 @p36 @p21) :args (@t50 @t38 (@list @t40 @t45 @t52))) % 0.35/0.64 (step @p40 :rule instantiate :premises (@p16) :args (@t31)) % 0.35/0.64 (step @p41 :rule instantiate :premises (@p11) :args (@t44)) % 0.35/0.64 (step @p42 :rule cnf_or_pos :args (@t56)) % 0.35/0.64 (step @p43 :rule reordering :premises (@p42) :args ((or @t55 @t51 @t53 (not @t56)))) % 0.35/0.64 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p36 @p40) :args (@t53 @t38 (@list @t54 @t45 @t56))) % 0.35/0.64 (step @p45 :rule cnf_or_pos :args (@t59)) % 0.35/0.64 (step @p46 :rule reordering :premises (@p45) :args ((or @t30 @t57 @t58 @t60))) % 0.35/0.64 (step @p47 :rule chain_m_resolution :premises (@p46 @p20 @p44 @p39) :args (@t60 (@list true false false) (@list @t30 @t53 @t50))) % 0.35/0.64 (step @p48 :rule eq-symm :args (@t28 @t29)) % 0.35/0.64 (step @p49 :rule refl :args (@t57)) % 0.35/0.64 (step @p50 :rule refl :args (@t58)) % 0.35/0.64 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t61)) % 0.35/0.64 (step @p52 :rule refl :args (@t26)) % 0.35/0.64 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t26 @t61))) % 0.35/0.64 (assume-push @p61 @t26) % 0.35/0.64 (step @p55 :rule instantiate :premises (@p18) :args ((@list @t28 @t29 @t28 @t29))) % 0.35/0.64 (step-pop @p62 :rule scope :premises (@p55)) % 0.35/0.64 (step @p56 :rule process_scope :premises (@p62) :args (@t61)) % 0.35/0.64 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.35/0.64 (step @p59 :rule implies_elim :premises (@p58)) % 0.35/0.64 (step @p60 false :rule chain_m_resolution :premises (@p59 @p47 @p18) :args (false (@list true false) (@list @t59 @t26))) % 0.35/0.64 ) % 0.35/0.64 % SZS output end Proof % 0.35/0.64 % cvc5 exiting %------------------------------------------------------------------------------