%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP001+1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:24:19 AM UTC 2026 % Result : Theorem 0.33s 0.61s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.15 % Problem : ITP001+1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.11/0.16 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.38 % Computer : n019.cluster.edu % 0.17/0.38 % Model : x86_64 x86_64 % 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.38 % Memory : 8042.1875MB % 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.38 % CPULimit : 300 % 0.17/0.38 % WCLimit : 300 % 0.17/0.38 % DateTime : Tue Jun 2 03:32:34 EDT 2026 % 0.17/0.39 % CPUTime : % 0.21/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.61 % SZS status Theorem % 0.33/0.61 % SZS output start Proof % 0.33/0.61 ( % 0.33/0.61 (declare-sort $$unsorted 0) % 0.33/0.61 (declare-const tptp.c_2Ebool_2E_3F_2E0 $$unsorted) % 0.33/0.61 (declare-const tptp.c_2Ebool_2E_21_2E0 $$unsorted) % 0.33/0.61 (declare-const tptp.c_2Emin_2E_3D_2E0 $$unsorted) % 0.33/0.61 (declare-const tptp.c_2Ebool_2E_5C_2F_2E0 $$unsorted) % 0.33/0.61 (declare-const tptp.c_2Ebool_2E_7E_2E0 $$unsorted) % 0.33/0.61 (declare-const tptp.c_2Ebool_2E_2F_5C_2E0 $$unsorted) % 0.33/0.61 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.tyop_2Emin_2Efun (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.c_2Ebool_2E_2F_5C_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.c_2Ebool_2E_7E_2E1 (-> $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E0 $$unsorted) % 0.33/0.61 (declare-const tptp.tyop_2Emin_2Ebool $$unsorted) % 0.33/0.61 (declare-const tptp.p (-> $$unsorted Bool)) % 0.33/0.61 (declare-const tptp.combin_i_2E0 $$unsorted) % 0.33/0.61 (declare-const tptp.app_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.c_2Ebool_2ET_2E0 $$unsorted) % 0.33/0.61 (declare-const tptp.c_2Ebool_2EF_2E0 $$unsorted) % 0.33/0.61 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.combin_k_2E0 $$unsorted) % 0.33/0.61 (declare-const tptp.c_2Ebool_2E_5C_2F_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.61 (declare-const tptp.combin_s_2E0 $$unsorted) % 0.33/0.61 (define @t1 () (@var "V1g_2E0" $$unsorted)) % 0.33/0.61 (define @t2 () (@var "A_27b" $$unsorted)) % 0.33/0.61 (define @t3 () (@var "A_27a" $$unsorted)) % 0.33/0.61 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.33/0.61 (define @t5 () (tptp.s @t4 @t1)) % 0.33/0.61 (define @t6 () (@var "V0f_2E0" $$unsorted)) % 0.33/0.61 (define @t7 () (tptp.s @t4 @t6)) % 0.33/0.61 (define @t8 () (@var "V2x_2E0" $$unsorted)) % 0.33/0.61 (define @t9 () (tptp.s @t3 @t8)) % 0.33/0.61 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.33/0.61 (define @t11 () (@var "V1_2E0" $$unsorted)) % 0.33/0.61 (define @t12 () (tptp.s tptp.tyop_2Emin_2Ebool @t11)) % 0.33/0.61 (define @t13 () (@var "V0_2E0" $$unsorted)) % 0.33/0.61 (define @t14 () (tptp.s tptp.tyop_2Emin_2Ebool @t13)) % 0.33/0.61 (define @t15 () (tptp.p @t12)) % 0.33/0.61 (define @t16 () (tptp.p @t14)) % 0.33/0.61 (define @t17 () (@list @t13 @t11)) % 0.33/0.61 (define @t18 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) % 0.33/0.61 (define @t19 () (tptp.p @t18)) % 0.33/0.61 (define @t20 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) % 0.33/0.61 (define @t21 () (@var "V0t_2E0" $$unsorted)) % 0.33/0.61 (define @t22 () (tptp.s tptp.tyop_2Emin_2Ebool @t21)) % 0.33/0.61 (define @t23 () (@var "V0x_2E0" $$unsorted)) % 0.33/0.61 (define @t24 () (tptp.s @t3 @t23)) % 0.33/0.61 (define @t25 () (@var "V1y_2E0" $$unsorted)) % 0.33/0.61 (define @t26 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.33/0.61 (define @t27 () (@var "A_27c" $$unsorted)) % 0.33/0.61 (define @t28 () (tptp.tyop_2Emin_2Efun @t2 @t27)) % 0.33/0.61 (define @t29 () (tptp.tyop_2Emin_2Efun @t3 @t28)) % 0.33/0.61 (define @t30 () (tptp.s @t29 @t6)) % 0.33/0.61 (define @t31 () (tptp.tyop_2Emin_2Efun @t3 @t27)) % 0.33/0.61 (define @t32 () (tptp.tyop_2Emin_2Efun @t4 @t31)) % 0.33/0.61 (define @t33 () (tptp.s @t3 @t11)) % 0.33/0.61 (define @t34 () (tptp.s @t3 @t13)) % 0.33/0.61 (define @t35 () (@var "V1x_2E0" $$unsorted)) % 0.33/0.61 (define @t36 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.33/0.61 (define @t37 () (tptp.s @t36 @t6)) % 0.33/0.61 (define @t38 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t37 (tptp.s @t3 @t35))))) % 0.33/0.61 (define @t39 () (@list @t35)) % 0.33/0.61 (define @t40 () (@list @t3 @t6)) % 0.33/0.61 (define @t41 () (@var "X1_2E0" $$unsorted)) % 0.33/0.61 (define @t42 () (tptp.s tptp.tyop_2Emin_2Ebool @t41)) % 0.33/0.61 (define @t43 () (@var "X0_2E0" $$unsorted)) % 0.33/0.61 (define @t44 () (tptp.s tptp.tyop_2Emin_2Ebool @t43)) % 0.33/0.61 (define @t45 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.33/0.61 (define @t46 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t45)) % 0.33/0.61 (define @t47 () (tptp.p @t42)) % 0.33/0.61 (define @t48 () (tptp.p @t44)) % 0.33/0.61 (define @t49 () (@list @t43 @t41)) % 0.33/0.61 (define @t50 () (tptp.s @t3 @t41)) % 0.33/0.61 (define @t51 () (tptp.s @t3 @t43)) % 0.33/0.61 (define @t52 () (tptp.s @t36 @t43)) % 0.33/0.61 (define @t53 () (tptp.tyop_2Emin_2Efun @t36 tptp.tyop_2Emin_2Ebool)) % 0.33/0.61 (define @t54 () (@list @t3 @t43)) % 0.33/0.61 (define @t55 () (tptp.s tptp.tyop_2Emin_2Ebool @t23)) % 0.33/0.62 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.33/0.62 (assume @p2 (forall @t17 (=> (= @t16 @t15) (= @t14 @t12)))) % 0.33/0.62 (assume @p3 @t19) % 0.33/0.62 (assume @p4 (not (tptp.p @t20))) % 0.33/0.62 (assume @p5 (forall (@list @t21) (or (= @t22 @t18) (= @t22 @t20)))) % 0.33/0.62 (assume @p6 (forall (@list @t3 @t23) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t24)) @t24))) % 0.33/0.62 (assume @p7 (forall (@list @t3 @t2 @t23 @t25) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t26 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t26) tptp.combin_k_2E0) @t24)) (tptp.s @t2 @t25))) @t24))) % 0.33/0.62 (assume @p8 (forall (@list @t3 @t2 @t27 @t6 @t1 @t8) (= (tptp.s @t27 (tptp.app_2E2 (tptp.s @t31 (tptp.app_2E2 (tptp.s @t32 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t29 @t32) tptp.combin_s_2E0) @t30)) @t5)) @t9)) (tptp.s @t27 (tptp.app_2E2 (tptp.s @t28 (tptp.app_2E2 @t30 @t9)) @t10))))) % 0.33/0.62 (assume @p9 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 @t14 @t12))) (and @t16 @t15)))) % 0.33/0.62 (assume @p10 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 @t14 @t12))) (or @t16 @t15)))) % 0.33/0.62 (assume @p11 (forall (@list @t13) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 @t14))) (not @t16)))) % 0.33/0.62 (assume @p12 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 @t14 @t12))) (=> @t16 @t15)))) % 0.33/0.62 (assume @p13 (forall (@list @t3 @t13 @t11) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t34 @t33))) (= @t34 @t33)))) % 0.33/0.62 (assume @p14 (forall @t40 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t37))) (forall @t39 @t38)))) % 0.33/0.62 (assume @p15 (forall @t40 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t37))) (exists @t39 @t38)))) % 0.33/0.62 (assume @p16 (forall @t49 (= (and @t48 @t47) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t45 (tptp.app_2E2 (tptp.s @t46 tptp.c_2Ebool_2E_2F_5C_2E0) @t44)) @t42)))))) % 0.33/0.62 (assume @p17 (forall @t49 (= (or @t48 @t47) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t45 (tptp.app_2E2 (tptp.s @t46 tptp.c_2Ebool_2E_5C_2F_2E0) @t44)) @t42)))))) % 0.33/0.62 (assume @p18 (forall (@list @t43) (= (not @t48) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t45 tptp.c_2Ebool_2E_7E_2E0) @t44)))))) % 0.33/0.62 (assume @p19 (forall @t49 (= (=> @t48 @t47) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t45 (tptp.app_2E2 (tptp.s @t46 tptp.c_2Emin_2E_3D_3D_3E_2E0) @t44)) @t42)))))) % 0.33/0.62 (assume @p20 (forall (@list @t3 @t43 @t41) (= (= @t51 @t50) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t36 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t36) tptp.c_2Emin_2E_3D_2E0) @t51)) @t50)))))) % 0.33/0.62 (assume @p21 (forall @t54 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t52)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t53 tptp.c_2Ebool_2E_21_2E0) @t52))))) % 0.33/0.62 (assume @p22 (forall @t54 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t52)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t53 tptp.c_2Ebool_2E_3F_2E0) @t52))))) % 0.33/0.62 (assume @p23 (= @t19 (forall (@list @t23) (= @t55 @t55)))) % 0.33/0.62 (assume @p24 (not @t19)) % 0.33/0.62 (assume @p25 true) % 0.33/0.62 (step @p26 false :rule chain_m_resolution :premises (@p24 @p3) :args (false (@list false) (@list @t19))) % 0.33/0.62 ) % 0.33/0.62 % SZS output end Proof % 0.33/0.62 % cvc5 exiting %------------------------------------------------------------------------------