%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP004+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 : n027.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 08:24:23 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP004+1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n027.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 03:37:06 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.c_2Epred__set_2ESUBSET_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Epred__set_2ESUBSET_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Ebool_2EIN_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Epred__set_2EDELETE_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.combin_k_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Epred__set_2EREST_2E1 (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.combin_i_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.tyop_2Emin_2Ebool $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_7E_2E1 (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Ebool_2EF_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Ebool_2EIN_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Ebool_2ET_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_2F_5C_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Epred__set_2EREST_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.tyop_2Emin_2Efun (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.app_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_2F_5C_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_7E_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_5C_2F_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Emin_2E_3D_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_5C_2F_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_21_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Epred__set_2ECHOICE_2E1 (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_3F_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.c_2Epred__set_2EDELETE_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.combin_s_2E0 $$unsorted) % 0.38/0.60 (declare-const tptp.c_2Epred__set_2ECHOICE_2E0 $$unsorted) % 0.38/0.60 (define @t1 () (@var "V1g_2E0" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "A_27b" $$unsorted)) % 0.38/0.60 (define @t3 () (@var "A_27a" $$unsorted)) % 0.38/0.60 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.38/0.60 (define @t5 () (tptp.s @t4 @t1)) % 0.38/0.60 (define @t6 () (@var "V0f_2E0" $$unsorted)) % 0.38/0.60 (define @t7 () (tptp.s @t4 @t6)) % 0.38/0.60 (define @t8 () (@var "V2x_2E0" $$unsorted)) % 0.38/0.60 (define @t9 () (tptp.s @t3 @t8)) % 0.38/0.60 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.38/0.60 (define @t11 () (@list @t8)) % 0.38/0.60 (define @t12 () (@var "V1_2E0" $$unsorted)) % 0.38/0.60 (define @t13 () (tptp.s tptp.tyop_2Emin_2Ebool @t12)) % 0.38/0.60 (define @t14 () (@var "V0_2E0" $$unsorted)) % 0.38/0.60 (define @t15 () (tptp.s tptp.tyop_2Emin_2Ebool @t14)) % 0.38/0.60 (define @t16 () (tptp.p @t13)) % 0.38/0.60 (define @t17 () (tptp.p @t15)) % 0.38/0.60 (define @t18 () (@list @t14 @t12)) % 0.38/0.60 (define @t19 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) % 0.38/0.60 (define @t20 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) % 0.38/0.60 (define @t21 () (@var "V0t_2E0" $$unsorted)) % 0.38/0.60 (define @t22 () (tptp.s tptp.tyop_2Emin_2Ebool @t21)) % 0.38/0.60 (define @t23 () (@var "V0x_2E0" $$unsorted)) % 0.38/0.60 (define @t24 () (tptp.s @t3 @t23)) % 0.38/0.60 (define @t25 () (@var "V1y_2E0" $$unsorted)) % 0.38/0.60 (define @t26 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.38/0.60 (define @t27 () (@var "A_27c" $$unsorted)) % 0.38/0.60 (define @t28 () (tptp.tyop_2Emin_2Efun @t2 @t27)) % 0.38/0.60 (define @t29 () (tptp.tyop_2Emin_2Efun @t3 @t28)) % 0.38/0.60 (define @t30 () (tptp.s @t29 @t6)) % 0.38/0.60 (define @t31 () (tptp.tyop_2Emin_2Efun @t3 @t27)) % 0.38/0.60 (define @t32 () (tptp.tyop_2Emin_2Efun @t4 @t31)) % 0.38/0.60 (define @t33 () (tptp.s @t3 @t12)) % 0.38/0.60 (define @t34 () (tptp.s @t3 @t14)) % 0.38/0.60 (define @t35 () (@var "V1x_2E0" $$unsorted)) % 0.38/0.60 (define @t36 () (tptp.s @t3 @t35)) % 0.38/0.60 (define @t37 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.38/0.60 (define @t38 () (tptp.s @t37 @t6)) % 0.38/0.60 (define @t39 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t38 @t36)))) % 0.38/0.60 (define @t40 () (@list @t35)) % 0.38/0.60 (define @t41 () (@list @t3 @t6)) % 0.38/0.60 (define @t42 () (@var "X1_2E0" $$unsorted)) % 0.38/0.60 (define @t43 () (tptp.s tptp.tyop_2Emin_2Ebool @t42)) % 0.38/0.60 (define @t44 () (@var "X0_2E0" $$unsorted)) % 0.38/0.60 (define @t45 () (tptp.s tptp.tyop_2Emin_2Ebool @t44)) % 0.38/0.60 (define @t46 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.38/0.60 (define @t47 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t46)) % 0.38/0.60 (define @t48 () (tptp.p @t43)) % 0.38/0.60 (define @t49 () (tptp.p @t45)) % 0.38/0.60 (define @t50 () (@list @t44 @t42)) % 0.38/0.60 (define @t51 () (tptp.s @t3 @t42)) % 0.38/0.60 (define @t52 () (tptp.s @t3 @t44)) % 0.38/0.60 (define @t53 () (tptp.tyop_2Emin_2Efun @t3 @t37)) % 0.38/0.60 (define @t54 () (@list @t3 @t44 @t42)) % 0.38/0.60 (define @t55 () (tptp.s @t37 @t44)) % 0.38/0.60 (define @t56 () (tptp.tyop_2Emin_2Efun @t37 tptp.tyop_2Emin_2Ebool)) % 0.38/0.60 (define @t57 () (@list @t3 @t44)) % 0.38/0.60 (define @t58 () (tptp.s @t37 @t42)) % 0.38/0.60 (define @t59 () (@var "V1t_2E0" $$unsorted)) % 0.38/0.60 (define @t60 () (tptp.s @t37 @t59)) % 0.38/0.60 (define @t61 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t9 @t60)))) % 0.38/0.60 (define @t62 () (@var "V0s_2E0" $$unsorted)) % 0.38/0.60 (define @t63 () (tptp.s @t37 @t62)) % 0.38/0.60 (define @t64 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t9 @t63)))) % 0.38/0.60 (define @t65 () (forall @t11 (=> @t64 @t61))) % 0.38/0.60 (define @t66 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Epred__set_2ESUBSET_2E2 @t63 @t60)))) % 0.38/0.60 (define @t67 () (= @t66 @t65)) % 0.38/0.60 (define @t68 () (forall (@list @t3 @t62 @t59) @t67)) % 0.38/0.60 (define @t69 () (@var "V2y_2E0" $$unsorted)) % 0.38/0.60 (define @t70 () (tptp.s @t3 @t69)) % 0.38/0.60 (define @t71 () (forall (@list @t3 @t62 @t35 @t69) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t36 (tptp.s @t37 (tptp.c_2Epred__set_2EDELETE_2E2 @t63 @t70))))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t36 @t63))) (not (= @t36 @t70)))))) % 0.38/0.60 (define @t72 () (tptp.s @t37 (tptp.c_2Epred__set_2EREST_2E1 @t63))) % 0.38/0.60 (define @t73 () (@list @t3 @t62)) % 0.38/0.60 (define @t74 () (forall @t73 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Epred__set_2ESUBSET_2E2 @t72 @t63))))) % 0.38/0.60 (define @t75 () (@quantifiers_skolemize @t74 1)) % 0.38/0.60 (define @t76 () (@quantifiers_skolemize @t74 0)) % 0.38/0.60 (define @t77 () (tptp.tyop_2Emin_2Efun @t76 tptp.tyop_2Emin_2Ebool)) % 0.38/0.60 (define @t78 () (tptp.s @t77 @t75)) % 0.38/0.60 (define @t79 () (tptp.s @t76 @t8)) % 0.38/0.60 (define @t80 () (tptp.c_2Epred__set_2EREST_2E1 @t78)) % 0.38/0.60 (define @t81 () (tptp.s @t77 @t80)) % 0.38/0.60 (define @t82 () (forall @t11 (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t79 @t81)))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t79 @t78)))))) % 0.38/0.60 (define @t83 () (@quantifiers_skolemize @t82 0)) % 0.38/0.60 (define @t84 () (tptp.s @t76 @t83)) % 0.38/0.60 (define @t85 () (tptp.c_2Epred__set_2ECHOICE_2E1 @t78)) % 0.38/0.60 (define @t86 () (tptp.s @t76 @t85)) % 0.38/0.60 (define @t87 () (not (= @t84 @t86))) % 0.38/0.60 (define @t88 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t84 @t78)))) % 0.38/0.60 (define @t89 () (and @t88 @t87)) % 0.38/0.60 (define @t90 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t84 (tptp.s @t77 (tptp.c_2Epred__set_2EDELETE_2E2 @t78 @t86)))))) % 0.38/0.60 (define @t91 () (= @t90 @t89)) % 0.38/0.60 (define @t92 () (and @t88 (not (= @t86 @t84)))) % 0.38/0.60 (define @t93 () (= @t90 @t92)) % 0.38/0.60 (define @t94 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Epred__set_2ESUBSET_2E2 @t81 @t78)))) % 0.38/0.60 (define @t95 () (= @t94 @t82)) % 0.38/0.60 (define @t96 () (not @t82)) % 0.38/0.60 (define @t97 () (@list true false)) % 0.38/0.60 (define @t98 () (tptp.c_2Ebool_2EIN_2E2 @t84 @t81)) % 0.38/0.60 (define @t99 () (tptp.s tptp.tyop_2Emin_2Ebool @t98)) % 0.38/0.60 (define @t100 () (tptp.p @t99)) % 0.38/0.60 (define @t101 () (not @t100)) % 0.38/0.60 (define @t102 () (or @t101 @t88)) % 0.38/0.60 (define @t103 () (@list true)) % 0.38/0.60 (define @t104 () (@list @t102)) % 0.38/0.60 (define @t105 () (not @t92)) % 0.38/0.60 (define @t106 () (not @t90)) % 0.38/0.60 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall @t11 (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.38/0.60 (assume @p2 (forall @t18 (=> (= @t17 @t16) (= @t15 @t13)))) % 0.38/0.60 (assume @p3 (tptp.p @t19)) % 0.38/0.60 (assume @p4 (not (tptp.p @t20))) % 0.38/0.60 (assume @p5 (forall (@list @t21) (or (= @t22 @t19) (= @t22 @t20)))) % 0.38/0.60 (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))) % 0.38/0.60 (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))) % 0.38/0.60 (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))))) % 0.38/0.60 (assume @p9 (forall @t18 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 @t15 @t13))) (and @t17 @t16)))) % 0.38/0.60 (assume @p10 (forall @t18 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 @t15 @t13))) (or @t17 @t16)))) % 0.38/0.60 (assume @p11 (forall (@list @t14) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 @t15))) (not @t17)))) % 0.38/0.60 (assume @p12 (forall @t18 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 @t15 @t13))) (=> @t17 @t16)))) % 0.38/0.60 (assume @p13 (forall (@list @t3 @t14 @t12) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t34 @t33))) (= @t34 @t33)))) % 0.38/0.60 (assume @p14 (forall @t41 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t38))) (forall @t40 @t39)))) % 0.38/0.60 (assume @p15 (forall @t41 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t38))) (exists @t40 @t39)))) % 0.38/0.60 (assume @p16 (forall @t50 (= (and @t49 @t48) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t46 (tptp.app_2E2 (tptp.s @t47 tptp.c_2Ebool_2E_2F_5C_2E0) @t45)) @t43)))))) % 0.38/0.60 (assume @p17 (forall @t50 (= (or @t49 @t48) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t46 (tptp.app_2E2 (tptp.s @t47 tptp.c_2Ebool_2E_5C_2F_2E0) @t45)) @t43)))))) % 0.38/0.60 (assume @p18 (forall (@list @t44) (= (not @t49) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t46 tptp.c_2Ebool_2E_7E_2E0) @t45)))))) % 0.38/0.60 (assume @p19 (forall @t50 (= (=> @t49 @t48) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t46 (tptp.app_2E2 (tptp.s @t47 tptp.c_2Emin_2E_3D_3D_3E_2E0) @t45)) @t43)))))) % 0.38/0.60 (assume @p20 (forall @t54 (= (= @t52 @t51) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t37 (tptp.app_2E2 (tptp.s @t53 tptp.c_2Emin_2E_3D_2E0) @t52)) @t51)))))) % 0.38/0.60 (assume @p21 (forall @t57 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t55)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 tptp.c_2Ebool_2E_21_2E0) @t55))))) % 0.38/0.60 (assume @p22 (forall @t57 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t55)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 tptp.c_2Ebool_2E_3F_2E0) @t55))))) % 0.38/0.60 (assume @p23 (forall @t57 (= (tptp.s @t37 (tptp.c_2Epred__set_2EREST_2E1 @t55)) (tptp.s @t37 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t37 @t37) tptp.c_2Epred__set_2EREST_2E0) @t55))))) % 0.38/0.60 (assume @p24 (forall @t57 (= (tptp.s @t3 (tptp.c_2Epred__set_2ECHOICE_2E1 @t55)) (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t37 @t3) tptp.c_2Epred__set_2ECHOICE_2E0) @t55))))) % 0.38/0.60 (assume @p25 (forall @t54 (= (tptp.s @t37 (tptp.c_2Epred__set_2EDELETE_2E2 @t55 @t51)) (tptp.s @t37 (tptp.app_2E2 (tptp.s @t53 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t37 @t53) tptp.c_2Epred__set_2EDELETE_2E0) @t55)) @t51))))) % 0.38/0.60 (assume @p26 (forall @t54 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 @t52 @t58)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t56) tptp.c_2Ebool_2EIN_2E0) @t52)) @t58))))) % 0.38/0.60 (assume @p27 (forall @t54 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Epred__set_2ESUBSET_2E2 @t55 @t58)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t37 @t56) tptp.c_2Epred__set_2ESUBSET_2E0) @t55)) @t58))))) % 0.38/0.60 (assume @p28 @t68) % 0.38/0.60 (assume @p29 @t71) % 0.38/0.60 (assume @p30 (forall @t73 (= @t72 (tptp.s @t37 (tptp.c_2Epred__set_2EDELETE_2E2 @t63 (tptp.s @t3 (tptp.c_2Epred__set_2ECHOICE_2E1 @t63))))))) % 0.38/0.60 (assume @p31 (not @t74)) % 0.38/0.60 (assume @p32 true) % 0.38/0.60 (step @p33 :rule evaluate :args ((= true false))) % 0.38/0.60 (step @p34 :rule eq-symm :args (@t84 @t86)) % 0.38/0.60 (step @p35 :rule cong :premises (@p34) :args (@t87)) % 0.38/0.60 (step @p36 :rule refl :args (@t88)) % 0.38/0.60 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t89)) % 0.38/0.60 (step @p38 :rule refl :args (@t90)) % 0.38/0.60 (step @p39 :rule cong :premises (@p38 @p37) :args (@t91)) % 0.38/0.60 (step @p40 :rule refl :args (@t71)) % 0.38/0.60 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t71 @t91))) % 0.38/0.60 (assume-push @p87 @t71) % 0.38/0.60 (step @p43 :rule instantiate :premises (@p29) :args ((@list @t76 @t75 @t83 @t85))) % 0.38/0.60 (step-pop @p88 :rule scope :premises (@p43)) % 0.38/0.60 (step @p44 :rule process_scope :premises (@p88) :args (@t91)) % 0.38/0.60 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 0.38/0.60 (step @p47 :rule implies_elim :premises (@p46)) % 0.38/0.60 (step @p48 :rule chain_m_resolution :premises (@p47 @p29) :args (@t93 (@list false) (@list @t71))) % 0.38/0.60 (step @p49 :rule bool-impl-elim :args (@t64 @t61)) % 0.38/0.60 (step @p50 :rule cong :premises (@p49) :args (@t65)) % 0.38/0.60 (step @p51 :rule refl :args (@t66)) % 0.38/0.60 (step @p52 :rule cong :premises (@p51 @p50) :args (@t67)) % 0.38/0.60 (step @p53 :rule cong :premises (@p52) :args (@t68)) % 0.38/0.60 (step @p54 :rule eq_resolve :premises (@p28 @p53)) % 0.38/0.60 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t76 @t80 @t75))) % 0.38/0.60 (step @p56 :rule skolemize :premises (@p31)) % 0.38/0.60 (step @p57 :rule cnf_equiv_pos2 :args (@t95)) % 0.38/0.60 (step @p58 :rule reordering :premises (@p57) :args ((or @t94 @t96 (not @t95)))) % 0.38/0.60 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p55) :args (@t96 @t97 (@list @t94 @t95))) % 0.38/0.60 (step @p60 :rule skolemize :premises (@p59)) % 0.38/0.60 (step @p61 :rule cnf_or_neg :args (@t102 1)) % 0.38/0.60 (step @p62 :rule chain_m_resolution :premises (@p61 @p60) :args ((not @t88) @t103 @t104)) % 0.38/0.60 (step @p63 :rule cnf_and_pos :args (@t92 0)) % 0.38/0.60 (step @p64 :rule reordering :premises (@p63) :args ((or @t88 @t105))) % 0.38/0.60 (step @p65 :rule chain_m_resolution :premises (@p64 @p62) :args (@t105 @t103 (@list @t88))) % 0.38/0.60 (step @p66 :rule cnf_equiv_pos1 :args (@t93)) % 0.38/0.60 (step @p67 :rule reordering :premises (@p66) :args ((or @t92 @t106 (not @t93)))) % 0.38/0.60 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p48) :args (@t106 @t97 (@list @t92 @t93))) % 0.38/0.60 (step @p69 :rule false_intro :premises (@p68)) % 0.38/0.60 (step @p70 :rule instantiate :premises (@p30) :args ((@list @t76 @t75))) % 0.38/0.60 (step @p71 :rule refl :args (@t84)) % 0.38/0.60 (step @p72 :rule cong :premises (@p71 @p70) :args (@t98)) % 0.38/0.60 (step @p73 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 0.38/0.60 (step @p74 :rule cong :premises (@p73 @p72) :args (@t99)) % 0.38/0.60 (step @p75 :rule cong :premises (@p74) :args (@t100)) % 0.38/0.60 (step @p76 :rule bool-double-not-elim :args (@t100)) % 0.38/0.60 (step @p77 :rule refl :args (@t102)) % 0.38/0.60 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t102 (not @t101)))) % 0.38/0.60 (step @p79 :rule cnf_or_neg :args (@t102 0)) % 0.38/0.60 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.38/0.60 (step @p81 :rule reordering :premises (@p80) :args ((or @t100 @t102))) % 0.38/0.60 (step @p82 :rule chain_m_resolution :premises (@p81 @p60) :args (@t100 @t103 @t104)) % 0.38/0.60 (step @p83 :rule true_intro :premises (@p82)) % 0.38/0.60 (step @p84 :rule symm :premises (@p83)) % 0.38/0.60 (step @p85 :rule trans :premises (@p84 @p75 @p69)) % 0.38/0.60 (step @p86 false :rule eq_resolve :premises (@p85 @p33)) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------