%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT019-1 : 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 : n002.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 08:09:27 AM UTC 2026 % Result : Unsatisfiable 0.26s 0.49s % Output : Proof 0.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : CAT019-1 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.13/0.31 % Computer : n002.cluster.edu % 0.13/0.31 % Model : x86_64 x86_64 % 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.31 % Memory : 8042.1875MB % 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.31 % CPULimit : 300 % 0.13/0.31 % WCLimit : 300 % 0.13/0.31 % DateTime : Wed Jun 3 02:56:03 EDT 2026 % 0.13/0.31 % CPUTime : % 0.26/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.26/0.49 % SZS status Unsatisfiable % 0.26/0.49 % SZS output start Proof % 0.26/0.50 ( % 0.26/0.50 (declare-sort $$unsorted 0) % 0.26/0.50 (declare-const tptp.c2 $$unsorted) % 0.26/0.50 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.26/0.50 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.26/0.50 (declare-const tptp.identity_map (-> $$unsorted Bool)) % 0.26/0.50 (declare-const tptp.c1 $$unsorted) % 0.26/0.50 (declare-const tptp.defined (-> $$unsorted $$unsorted Bool)) % 0.26/0.50 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.26/0.50 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.26/0.50 (define @t1 () (@var "Y" $$unsorted)) % 0.26/0.50 (define @t2 () (@var "X" $$unsorted)) % 0.26/0.50 (define @t3 () (tptp.defined @t2 @t1)) % 0.26/0.50 (define @t4 () (not @t3)) % 0.26/0.50 (define @t5 () (@list @t2 @t1)) % 0.26/0.50 (define @t6 () (@var "Z" $$unsorted)) % 0.26/0.50 (define @t7 () (not (tptp.product @t2 @t1 @t6))) % 0.26/0.50 (define @t8 () (@list @t2 @t1 @t6)) % 0.26/0.50 (define @t9 () (tptp.defined @t1 @t6)) % 0.26/0.50 (define @t10 () (@var "Xy" $$unsorted)) % 0.26/0.50 (define @t11 () (tptp.defined @t10 @t6)) % 0.26/0.50 (define @t12 () (not @t11)) % 0.26/0.50 (define @t13 () (not (tptp.product @t2 @t1 @t10))) % 0.26/0.50 (define @t14 () (@var "Yz" $$unsorted)) % 0.26/0.50 (define @t15 () (tptp.defined @t2 @t14)) % 0.26/0.50 (define @t16 () (not (tptp.product @t1 @t6 @t14))) % 0.26/0.50 (define @t17 () (@var "Xyz" $$unsorted)) % 0.26/0.50 (define @t18 () (tptp.product @t2 @t14 @t17)) % 0.26/0.50 (define @t19 () (tptp.product @t10 @t6 @t17)) % 0.26/0.50 (define @t20 () (not @t15)) % 0.26/0.50 (define @t21 () (not (tptp.identity_map @t1))) % 0.26/0.50 (define @t22 () (tptp.domain @t2)) % 0.26/0.50 (define @t23 () (@list @t2)) % 0.26/0.50 (define @t24 () (tptp.codomain @t2)) % 0.26/0.50 (define @t25 () (@var "W" $$unsorted)) % 0.26/0.50 (define @t26 () (= tptp.c1 @t6)) % 0.26/0.50 (define @t27 () (= tptp.c2 @t6)) % 0.26/0.50 (define @t28 () (not @t27)) % 0.26/0.50 (define @t29 () (or @t28 @t26)) % 0.26/0.50 (define @t30 () (@list @t6)) % 0.26/0.50 (define @t31 () (forall @t30 @t29)) % 0.26/0.50 (define @t32 () (= tptp.c2 tptp.c1)) % 0.26/0.50 (define @t33 () (not (= tptp.c2 tptp.c2))) % 0.26/0.50 (define @t34 () (or @t33 @t32)) % 0.26/0.50 (define @t35 () (= @t6 tptp.c1)) % 0.26/0.50 (define @t36 () (not (= @t6 tptp.c2))) % 0.26/0.50 (define @t37 () (or @t36 @t36 @t35)) % 0.26/0.50 (define @t38 () (or @t36 @t35)) % 0.26/0.50 (assume @p1 (forall @t5 (or @t4 (tptp.product @t2 @t1 (tptp.compose @t2 @t1))))) % 0.26/0.50 (assume @p2 (forall @t8 (or @t7 @t3))) % 0.26/0.50 (assume @p3 (forall (@list @t2 @t1 @t10 @t6) (or @t13 @t12 @t9))) % 0.26/0.50 (assume @p4 (forall (@list @t2 @t1 @t10 @t6 @t14) (or @t13 @t16 @t12 @t15))) % 0.26/0.50 (assume @p5 (forall (@list @t2 @t1 @t10 @t6 @t17 @t14) (or @t13 (not @t19) @t16 @t18))) % 0.26/0.50 (assume @p6 (forall (@list @t1 @t6 @t14 @t2) (or @t16 @t20 @t3))) % 0.26/0.50 (assume @p7 (forall (@list @t1 @t6 @t14 @t2 @t10) (or @t16 @t13 @t20 @t11))) % 0.26/0.50 (assume @p8 (forall (@list @t1 @t6 @t14 @t2 @t17 @t10) (or @t16 (not @t18) @t13 @t19))) % 0.26/0.50 (assume @p9 (forall @t8 (or @t4 (not @t9) @t21 (tptp.defined @t2 @t6)))) % 0.26/0.50 (assume @p10 (forall @t23 (tptp.identity_map @t22))) % 0.26/0.50 (assume @p11 (forall @t23 (tptp.identity_map @t24))) % 0.26/0.50 (assume @p12 (forall @t23 (tptp.defined @t2 @t22))) % 0.26/0.50 (assume @p13 (forall @t23 (tptp.defined @t24 @t2))) % 0.26/0.50 (assume @p14 (forall @t23 (tptp.product @t2 @t22 @t2))) % 0.26/0.50 (assume @p15 (forall @t23 (tptp.product @t24 @t2 @t2))) % 0.26/0.50 (assume @p16 (forall @t5 (or @t4 (not (tptp.identity_map @t2)) (tptp.product @t2 @t1 @t1)))) % 0.26/0.50 (assume @p17 (forall @t5 (or @t4 @t21 (tptp.product @t2 @t1 @t2)))) % 0.26/0.50 (assume @p18 (forall (@list @t2 @t1 @t6 @t25) (or @t7 (not (tptp.product @t2 @t1 @t25)) (= @t6 @t25)))) % 0.26/0.50 (assume @p19 @t31) % 0.26/0.50 (assume @p20 (forall @t30 (or @t27 (not @t26)))) % 0.26/0.50 (assume @p21 (not @t32)) % 0.26/0.50 (step @p22 :rule aci_norm :args ((= (or false @t32) @t32))) % 0.26/0.50 (step @p23 :rule refl :args (@t32)) % 0.26/0.50 (step @p24 :rule evaluate :args ((not true))) % 0.26/0.50 (step @p25 :rule eq-refl :args (tptp.c2)) % 0.26/0.50 (step @p26 :rule cong :premises (@p25) :args (@t33)) % 0.26/0.50 (step @p27 :rule trans :premises (@p26 @p24)) % 0.26/0.50 (step @p28 :rule nary_cong :premises (@p27 @p23) :args (@t34)) % 0.26/0.50 (step @p29 :rule trans :premises (@p28 @p22)) % 0.26/0.50 (step @p30 :rule quant-var-elim-eq :args ((= (forall @t30 @t37) @t34))) % 0.26/0.50 (step @p31 :rule aci_norm :args ((= @t38 @t37))) % 0.26/0.50 (step @p32 :rule cong :premises (@p31) :args ((forall @t30 @t38))) % 0.26/0.50 (step @p33 :rule trans :premises (@p32 @p30)) % 0.26/0.50 (step @p34 :rule trans :premises (@p33 @p29)) % 0.26/0.50 (step @p35 :rule eq-symm :args (tptp.c1 @t6)) % 0.26/0.50 (step @p36 :rule eq-symm :args (tptp.c2 @t6)) % 0.26/0.50 (step @p37 :rule cong :premises (@p36) :args (@t28)) % 0.26/0.50 (step @p38 :rule nary_cong :premises (@p37 @p35) :args (@t29)) % 0.26/0.50 (step @p39 :rule cong :premises (@p38) :args (@t31)) % 0.26/0.50 (step @p40 :rule trans :premises (@p39 @p34)) % 0.26/0.50 (step @p41 :rule eq_resolve :premises (@p19 @p40)) % 0.26/0.50 (step @p42 false :rule chain_m_resolution :premises (@p21 @p41) :args (false (@list false) (@list @t32))) % 0.26/0.50 ) % 0.26/0.50 % SZS output end Proof % 0.26/0.50 % cvc5 exiting %------------------------------------------------------------------------------