%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW900+1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 09:05:48 AM UTC 2026 % Result : Theorem 47.02s 47.24s % Output : Proof 47.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW900+1 : TPTP v9.2.1. Released v7.3.0. % 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 : n026.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 22:42:55 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 47.02/47.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 47.02/47.24 --- Run --no-e-matching --full-saturate-quant at 6... % 47.02/47.24 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 47.02/47.24 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 47.02/47.24 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 47.02/47.24 % SZS status Theorem % 47.02/47.24 % SZS output start Proof % 47.02/47.24 ( % 47.02/47.24 (declare-sort $$unsorted 0) % 47.02/47.24 (declare-const tptp.c_27const_2elist_2eTAKE_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2elist_2eLIST__REL_27__03 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2eODD_27__01 (-> $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2enumeral_2eiZ_27__01 (-> $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.chapp__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2eZERO_27__00 $$unsorted) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2e_3c_3d_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.cT__00 $$unsorted) % 47.02/47.24 (declare-const tptp.c_27const_2enum_2e0_27__00 $$unsorted) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2eEXP_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.p__01 (-> $$unsorted Bool)) % 47.02/47.24 (declare-const tptp.cF__00 $$unsorted) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2e_3e_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2e_2a_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.cfun__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.s__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2eprim__rec_2ePRE_27__01 (-> $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2eBIT2_27__01 (-> $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2e_2b_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.cbool__00 $$unsorted) % 47.02/47.24 (declare-const tptp.c_27type_2enum_2enum_27__00 $$unsorted) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2e_2d_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2eBIT1_27__01 (-> $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2eEVEN_27__01 (-> $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2e_3e_3d_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2enum_2eSUC_27__01 (-> $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2eprim__rec_2e_3c_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2elist_2eDROP_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2earithmetic_2eNUMERAL_27__01 (-> $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27type_2elist_2elist_27__01 (-> $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2elist_2eLENGTH_27__01 (-> $$unsorted $$unsorted)) % 47.02/47.24 (declare-const tptp.c_27const_2elist_2eAPPEND_27__02 (-> $$unsorted $$unsorted $$unsorted)) % 47.02/47.24 (define @t1 () (tptp.s__02 tptp.cbool__00 tptp.cT__00)) % 47.02/47.24 (define @t2 () (tptp.p__01 @t1)) % 47.02/47.24 (define @t3 () (tptp.s__02 tptp.cbool__00 tptp.cF__00)) % 47.02/47.24 (define @t4 () (tptp.p__01 @t3)) % 47.02/47.24 (define @t5 () (not @t4)) % 47.02/47.24 (define @t6 () (@var "Vt" $$unsorted)) % 47.02/47.24 (define @t7 () (tptp.s__02 tptp.cbool__00 @t6)) % 47.02/47.24 (define @t8 () (@var "Vg" $$unsorted)) % 47.02/47.24 (define @t9 () (@var "V_3f2380" $$unsorted)) % 47.02/47.24 (define @t10 () (@var "V_3f2384" $$unsorted)) % 47.02/47.24 (define @t11 () (tptp.cfun__02 @t10 @t9)) % 47.02/47.24 (define @t12 () (tptp.s__02 @t11 @t8)) % 47.02/47.24 (define @t13 () (@var "Vf" $$unsorted)) % 47.02/47.24 (define @t14 () (tptp.s__02 @t11 @t13)) % 47.02/47.24 (define @t15 () (@var "Vx" $$unsorted)) % 47.02/47.24 (define @t16 () (tptp.s__02 @t10 @t15)) % 47.02/47.24 (define @t17 () (@var "V_27t_27" $$unsorted)) % 47.02/47.24 (define @t18 () (tptp.s__02 tptp.cbool__00 @t17)) % 47.02/47.24 (define @t19 () (tptp.p__01 @t18)) % 47.02/47.24 (define @t20 () (@var "V_27x_27" $$unsorted)) % 47.02/47.24 (define @t21 () (@var "V_27A_27" $$unsorted)) % 47.02/47.24 (define @t22 () (@var "V_27t3_27" $$unsorted)) % 47.02/47.24 (define @t23 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 @t22))) % 47.02/47.24 (define @t24 () (@var "V_27t2_27" $$unsorted)) % 47.02/47.24 (define @t25 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 @t24))) % 47.02/47.24 (define @t26 () (@var "V_27t1_27" $$unsorted)) % 47.02/47.24 (define @t27 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 @t26))) % 47.02/47.24 (define @t28 () (and @t27 @t25 @t23)) % 47.02/47.24 (define @t29 () (@list @t26 @t24 @t22)) % 47.02/47.24 (define @t30 () (not @t19)) % 47.02/47.24 (define @t31 () (@list @t17)) % 47.02/47.24 (define @t32 () (tptp.s__02 @t21 @t20)) % 47.02/47.24 (define @t33 () (= @t18 @t3)) % 47.02/47.24 (define @t34 () (= @t3 @t18)) % 47.02/47.24 (define @t35 () (= @t18 @t1)) % 47.02/47.24 (define @t36 () (= @t1 @t18)) % 47.02/47.24 (define @t37 () (and (= @t36 @t19) (= @t35 @t19) (= @t34 @t30) (= @t33 @t30))) % 47.02/47.24 (define @t38 () (forall @t31 @t37)) % 47.02/47.24 (define @t39 () (@var "V_27B_270" $$unsorted)) % 47.02/47.24 (define @t40 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 @t39))) % 47.02/47.24 (define @t41 () (not @t40)) % 47.02/47.24 (define @t42 () (@var "V_27A_270" $$unsorted)) % 47.02/47.24 (define @t43 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 @t42))) % 47.02/47.24 (define @t44 () (not @t43)) % 47.02/47.24 (define @t45 () (@list @t42 @t39)) % 47.02/47.24 (define @t46 () (=> @t19 @t4)) % 47.02/47.24 (define @t47 () (forall @t31 (= @t46 @t33))) % 47.02/47.24 (define @t48 () (@var "V_27n_27" $$unsorted)) % 47.02/47.24 (define @t49 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 @t48)) % 47.02/47.24 (define @t50 () (@var "V_27m_27" $$unsorted)) % 47.02/47.24 (define @t51 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 @t50)) % 47.02/47.24 (define @t52 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t51 @t49))) % 47.02/47.24 (define @t53 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2enum_2eSUC_27__01 @t52))) % 47.02/47.24 (define @t54 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2enum_2eSUC_27__01 @t49))) % 47.02/47.24 (define @t55 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t51 @t54))) % 47.02/47.24 (define @t56 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2enum_2eSUC_27__01 @t51))) % 47.02/47.24 (define @t57 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t56 @t49))) % 47.02/47.24 (define @t58 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 tptp.c_27const_2enum_2e0_27__00)) % 47.02/47.24 (define @t59 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t51 @t58))) % 47.02/47.24 (define @t60 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t58 @t51))) % 47.02/47.24 (define @t61 () (and (= @t60 @t51) (= @t59 @t51) (= @t57 @t53) (= @t55 @t53))) % 47.02/47.24 (define @t62 () (@list @t48 @t50)) % 47.02/47.24 (define @t63 () (forall @t62 @t61)) % 47.02/47.24 (define @t64 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t49 @t51))) % 47.02/47.24 (define @t65 () (@list @t50 @t48)) % 47.02/47.24 (define @t66 () (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t58 @t49))) % 47.02/47.24 (define @t67 () (@list @t48)) % 47.02/47.24 (define @t68 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2a_27__02 @t51 @t49))) % 47.02/47.24 (define @t69 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 tptp.c_27const_2earithmetic_2eZERO_27__00)) % 47.02/47.24 (define @t70 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eNUMERAL_27__01 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eBIT1_27__01 @t69))))) % 47.02/47.24 (define @t71 () (@var "V_27p_27" $$unsorted)) % 47.02/47.24 (define @t72 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 @t71)) % 47.02/47.24 (define @t73 () (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t49 @t72))) % 47.02/47.24 (define @t74 () (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t51 @t49))) % 47.02/47.24 (define @t75 () (tptp.p__01 @t74)) % 47.02/47.24 (define @t76 () (@list @t50 @t48 @t71)) % 47.02/47.24 (define @t77 () (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t49 @t51))) % 47.02/47.24 (define @t78 () (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t52 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t51 @t72))))) % 47.02/47.24 (define @t79 () (forall @t76 (= @t78 @t73))) % 47.02/47.24 (define @t80 () (not @t75)) % 47.02/47.24 (define @t81 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eNUMERAL_27__01 @t49))) % 47.02/47.24 (define @t82 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eNUMERAL_27__01 @t51))) % 47.02/47.24 (define @t83 () (forall @t67 (= @t66 @t1))) % 47.02/47.24 (define @t84 () (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eprim__rec_2e_3c_27__02 @t69 @t49))) % 47.02/47.24 (define @t85 () (= @t49 @t69)) % 47.02/47.24 (define @t86 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eBIT2_27__01 @t49))) % 47.02/47.24 (define @t87 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eBIT1_27__01 @t49))) % 47.02/47.24 (define @t88 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eBIT2_27__01 @t51))) % 47.02/47.24 (define @t89 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eBIT1_27__01 @t51))) % 47.02/47.24 (define @t90 () (@var "V_27l2_27" $$unsorted)) % 47.02/47.24 (define @t91 () (tptp.c_27type_2elist_2elist_27__01 @t21)) % 47.02/47.24 (define @t92 () (tptp.s__02 @t91 @t90)) % 47.02/47.24 (define @t93 () (@var "V_27l1_27" $$unsorted)) % 47.02/47.24 (define @t94 () (tptp.s__02 @t91 @t93)) % 47.02/47.24 (define @t95 () (@var "V_27y_27" $$unsorted)) % 47.02/47.24 (define @t96 () (@var "V_27B_27" $$unsorted)) % 47.02/47.24 (define @t97 () (tptp.c_27type_2elist_2elist_27__01 @t96)) % 47.02/47.24 (define @t98 () (tptp.s__02 @t97 @t95)) % 47.02/47.24 (define @t99 () (tptp.s__02 @t91 @t20)) % 47.02/47.24 (define @t100 () (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t99)) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t98)))) % 47.02/47.24 (define @t101 () (@var "V_27R_27" $$unsorted)) % 47.02/47.24 (define @t102 () (tptp.cfun__02 @t21 (tptp.cfun__02 @t96 tptp.cbool__00))) % 47.02/47.24 (define @t103 () (tptp.s__02 @t102 @t101)) % 47.02/47.24 (define @t104 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2elist_2eLIST__REL_27__03 @t103 @t99 @t98)))) % 47.02/47.24 (define @t105 () (forall (@list @t21 @t96 @t101 @t20 @t95) (=> @t104 @t100))) % 47.02/47.24 (define @t106 () (@var "V_27l_27" $$unsorted)) % 47.02/47.24 (define @t107 () (tptp.s__02 @t91 @t106)) % 47.02/47.24 (define @t108 () (tptp.s__02 @t91 (tptp.c_27const_2elist_2eTAKE_27__02 @t49 @t107))) % 47.02/47.24 (define @t109 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t108))) % 47.02/47.24 (define @t110 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t49 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t107)))))) % 47.02/47.24 (define @t111 () (=> @t110 (= @t109 @t49))) % 47.02/47.24 (define @t112 () (@list @t21 @t48 @t106)) % 47.02/47.24 (define @t113 () (forall @t112 @t111)) % 47.02/47.24 (define @t114 () (tptp.s__02 @t91 (tptp.c_27const_2elist_2eAPPEND_27__02 @t108 (tptp.s__02 @t91 (tptp.c_27const_2elist_2eDROP_27__02 @t49 @t107))))) % 47.02/47.24 (define @t115 () (forall @t112 (= @t114 @t107))) % 47.02/47.24 (define @t116 () (@var "V_27ys1_27" $$unsorted)) % 47.02/47.24 (define @t117 () (tptp.s__02 @t97 @t116)) % 47.02/47.24 (define @t118 () (@var "V_27xs1_27" $$unsorted)) % 47.02/47.24 (define @t119 () (tptp.s__02 @t91 @t118)) % 47.02/47.24 (define @t120 () (@var "V_27P_27" $$unsorted)) % 47.02/47.24 (define @t121 () (tptp.s__02 @t102 @t120)) % 47.02/47.24 (define @t122 () (@var "V_27ys_27" $$unsorted)) % 47.02/47.24 (define @t123 () (tptp.s__02 @t97 @t122)) % 47.02/47.24 (define @t124 () (@var "V_27xs_27" $$unsorted)) % 47.02/47.24 (define @t125 () (tptp.s__02 @t91 @t124)) % 47.02/47.24 (define @t126 () (and (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2elist_2eLIST__REL_27__03 @t121 @t125 @t123))) (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2elist_2eLIST__REL_27__03 @t121 @t119 @t117))))) % 47.02/47.24 (define @t127 () (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t125)) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t123)))) % 47.02/47.24 (define @t128 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2elist_2eLIST__REL_27__03 @t121 (tptp.s__02 @t91 (tptp.c_27const_2elist_2eAPPEND_27__02 @t125 @t119)) (tptp.s__02 @t97 (tptp.c_27const_2elist_2eAPPEND_27__02 @t123 @t117)))))) % 47.02/47.24 (define @t129 () (and @t128 @t127)) % 47.02/47.24 (define @t130 () (forall (@list @t21 @t96 @t120 @t124 @t122 @t118 @t116) (=> @t129 @t126))) % 47.02/47.24 (define @t131 () (tptp.s__02 @t97 @t90)) % 47.02/47.24 (define @t132 () (@var "V_27l0_27" $$unsorted)) % 47.02/47.24 (define @t133 () (tptp.s__02 @t91 @t132)) % 47.02/47.24 (define @t134 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t133))) % 47.02/47.24 (define @t135 () (and (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2elist_2eLIST__REL_27__03 @t103 @t133 (tptp.s__02 @t97 (tptp.c_27const_2elist_2eTAKE_27__02 @t134 @t131))))) (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2elist_2eLIST__REL_27__03 @t103 @t94 (tptp.s__02 @t97 (tptp.c_27const_2elist_2eDROP_27__02 @t134 @t131))))))) % 47.02/47.24 (define @t136 () (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2elist_2eLIST__REL_27__03 @t103 (tptp.s__02 @t91 (tptp.c_27const_2elist_2eAPPEND_27__02 @t133 @t94)) @t131)))) % 47.02/47.24 (define @t137 () (@list @t21 @t96 @t132 @t93 @t90 @t101)) % 47.02/47.24 (define @t138 () (forall @t137 (=> @t136 @t135))) % 47.02/47.24 (define @t139 () (not @t138)) % 47.02/47.24 (define @t140 () (= @t30 @t34)) % 47.02/47.24 (define @t141 () (forall @t31 @t140)) % 47.02/47.24 (define @t142 () (@list @t17)) % 47.02/47.24 (define @t143 () (= @t19 @t36)) % 47.02/47.24 (define @t144 () (forall @t31 @t143)) % 47.02/47.24 (define @t145 () (and @t144 @t141)) % 47.02/47.24 (define @t146 () (and @t143 @t140)) % 47.02/47.24 (define @t147 () (and @t143 @t143 @t140 @t140)) % 47.02/47.24 (define @t148 () (= @t1 @t3)) % 47.02/47.24 (define @t149 () (= @t4 @t148)) % 47.02/47.24 (define @t150 () (not @t148)) % 47.02/47.24 (define @t151 () (@list true false)) % 47.02/47.24 (define @t152 () (forall @t137 (or (not @t136) @t135))) % 47.02/47.24 (define @t153 () (@quantifiers_skolemize @t152 3)) % 47.02/47.24 (define @t154 () (@quantifiers_skolemize @t152 2)) % 47.02/47.24 (define @t155 () (@quantifiers_skolemize @t152 0)) % 47.02/47.24 (define @t156 () (@quantifiers_skolemize @t152 4)) % 47.02/47.24 (define @t157 () (tptp.c_27type_2elist_2elist_27__01 @t155)) % 47.02/47.24 (define @t158 () (tptp.s__02 @t157 @t153)) % 47.02/47.24 (define @t159 () (tptp.s__02 @t157 @t154)) % 47.02/47.24 (define @t160 () (tptp.c_27const_2elist_2eAPPEND_27__02 @t159 @t158)) % 47.02/47.24 (define @t161 () (@quantifiers_skolemize @t152 5)) % 47.02/47.24 (define @t162 () (@quantifiers_skolemize @t152 1)) % 47.02/47.24 (define @t163 () (tptp.c_27type_2elist_2elist_27__01 @t162)) % 47.02/47.24 (define @t164 () (tptp.s__02 @t163 @t156)) % 47.02/47.24 (define @t165 () (tptp.s__02 @t157 @t160)) % 47.02/47.24 (define @t166 () (tptp.s__02 (tptp.cfun__02 @t155 (tptp.cfun__02 @t162 tptp.cbool__00)) @t161)) % 47.02/47.24 (define @t167 () (tptp.c_27const_2elist_2eLIST__REL_27__03 @t166 @t165 @t164)) % 47.02/47.24 (define @t168 () (tptp.s__02 tptp.cbool__00 @t167)) % 47.02/47.24 (define @t169 () (tptp.p__01 @t168)) % 47.02/47.24 (define @t170 () (tptp.c_27const_2elist_2eLENGTH_27__01 @t159)) % 47.02/47.24 (define @t171 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 @t170)) % 47.02/47.24 (define @t172 () (tptp.c_27const_2elist_2eDROP_27__02 @t171 @t164)) % 47.02/47.24 (define @t173 () (tptp.s__02 @t163 @t172)) % 47.02/47.24 (define @t174 () (tptp.c_27const_2elist_2eTAKE_27__02 @t171 @t164)) % 47.02/47.24 (define @t175 () (tptp.s__02 @t163 @t174)) % 47.02/47.24 (define @t176 () (and (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2elist_2eLIST__REL_27__03 @t166 @t159 @t175))) (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2elist_2eLIST__REL_27__03 @t166 @t158 @t173))))) % 47.02/47.24 (define @t177 () (not @t169)) % 47.02/47.24 (define @t178 () (or @t177 @t176)) % 47.02/47.24 (define @t179 () (@list true)) % 47.02/47.24 (define @t180 () (@list @t178)) % 47.02/47.24 (define @t181 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t164))) % 47.02/47.24 (define @t182 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t165))) % 47.02/47.24 (define @t183 () (= @t182 @t181)) % 47.02/47.24 (define @t184 () (or @t177 @t183)) % 47.02/47.24 (define @t185 () (@list false false)) % 47.02/47.24 (define @t186 () (= @t34 @t46)) % 47.02/47.24 (define @t187 () (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t171 @t181)) % 47.02/47.24 (define @t188 () (= @t49 @t109)) % 47.02/47.24 (define @t189 () (@list @t162 @t170 @t156)) % 47.02/47.24 (define @t190 () (not @t127)) % 47.02/47.24 (define @t191 () (not @t128)) % 47.02/47.24 (define @t192 () (= @t1 @t168)) % 47.02/47.24 (define @t193 () (= @t169 @t192)) % 47.02/47.24 (define @t194 () (tptp.c_27const_2elist_2eLIST__REL_27__03 @t166 @t165 (tptp.s__02 @t163 (tptp.c_27const_2elist_2eAPPEND_27__02 @t175 @t173)))) % 47.02/47.24 (define @t195 () (tptp.s__02 tptp.cbool__00 @t194)) % 47.02/47.24 (define @t196 () (tptp.p__01 @t195)) % 47.02/47.24 (define @t197 () (= @t171 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t175)))) % 47.02/47.24 (define @t198 () (not @t197)) % 47.02/47.24 (define @t199 () (not @t196)) % 47.02/47.24 (define @t200 () (or @t199 @t198 @t176)) % 47.02/47.24 (define @t201 () (tptp.s__02 tptp.cbool__00 @t187)) % 47.02/47.24 (define @t202 () (tptp.p__01 @t201)) % 47.02/47.24 (define @t203 () (not @t202)) % 47.02/47.24 (define @t204 () (or @t203 @t197)) % 47.02/47.24 (define @t205 () (or @t203 @t4)) % 47.02/47.24 (define @t206 () (= @t3 @t201)) % 47.02/47.24 (define @t207 () (= @t206 @t205)) % 47.02/47.24 (define @t208 () (tptp.c_27const_2elist_2eLENGTH_27__01 @t158)) % 47.02/47.24 (define @t209 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 47.02/47.24 (define @t210 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 @t209)) % 47.02/47.24 (define @t211 () (@var "BOUND_VARIABLE_8149" $$unsorted)) % 47.02/47.24 (define @t212 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 @t211)) % 47.02/47.24 (define @t213 () (forall (@list @t209 @t211) (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2enum_2eSUC_27__01 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t212 @t210)))) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t212 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2enum_2eSUC_27__01 @t210))))))) % 47.02/47.24 (define @t214 () (@var "BOUND_VARIABLE_8130" $$unsorted)) % 47.02/47.24 (define @t215 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 @t214)) % 47.02/47.24 (define @t216 () (@var "BOUND_VARIABLE_8132" $$unsorted)) % 47.02/47.24 (define @t217 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 @t216)) % 47.02/47.24 (define @t218 () (forall (@list @t214 @t216) (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2enum_2eSUC_27__01 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t217 @t215)))) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2enum_2eSUC_27__01 @t217)) @t215))))) % 47.02/47.24 (define @t219 () (@var "BOUND_VARIABLE_8122" $$unsorted)) % 47.02/47.24 (define @t220 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 @t219)) % 47.02/47.24 (define @t221 () (= @t220 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t220 @t58)))) % 47.02/47.24 (define @t222 () (@var "BOUND_VARIABLE_8120" $$unsorted)) % 47.02/47.24 (define @t223 () (forall (@list @t222 @t219) @t221)) % 47.02/47.24 (define @t224 () (@var "BOUND_VARIABLE_8112" $$unsorted)) % 47.02/47.24 (define @t225 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 @t224)) % 47.02/47.24 (define @t226 () (= @t225 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t58 @t225)))) % 47.02/47.24 (define @t227 () (@var "BOUND_VARIABLE_8110" $$unsorted)) % 47.02/47.24 (define @t228 () (forall (@list @t227 @t224) @t226)) % 47.02/47.24 (define @t229 () (= @t53 @t55)) % 47.02/47.24 (define @t230 () (forall @t62 @t229)) % 47.02/47.24 (define @t231 () (@list @t48 @t50)) % 47.02/47.24 (define @t232 () (= @t53 @t57)) % 47.02/47.24 (define @t233 () (forall @t62 @t232)) % 47.02/47.24 (define @t234 () (= @t51 @t59)) % 47.02/47.24 (define @t235 () (forall @t62 @t234)) % 47.02/47.24 (define @t236 () (= @t51 @t60)) % 47.02/47.24 (define @t237 () (forall @t62 @t236)) % 47.02/47.24 (define @t238 () (and @t237 @t235 @t233 @t230)) % 47.02/47.24 (define @t239 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 @t208)) % 47.02/47.24 (define @t240 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t171 @t239))) % 47.02/47.24 (define @t241 () (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t171 @t58))) % 47.02/47.24 (define @t242 () (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t241 @t240)) % 47.02/47.24 (define @t243 () (tptp.s__02 tptp.cbool__00 @t242)) % 47.02/47.24 (define @t244 () (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t58 @t239))) % 47.02/47.24 (define @t245 () (= @t244 @t243)) % 47.02/47.24 (define @t246 () (not @t245)) % 47.02/47.24 (define @t247 () (= @t171 @t241)) % 47.02/47.24 (define @t248 () (not @t247)) % 47.02/47.24 (define @t249 () (= @t1 @t244)) % 47.02/47.24 (define @t250 () (not @t249)) % 47.02/47.24 (define @t251 () (not @t206)) % 47.02/47.24 (define @t252 () (not @t183)) % 47.02/47.24 (define @t253 () (= @t182 @t240)) % 47.02/47.24 (define @t254 () (not @t253)) % 47.02/47.24 (define @t255 () (and @t246 @t245)) % 47.02/47.24 (assume @p1 @t2) % 47.02/47.24 (assume @p2 @t5) % 47.02/47.24 (assume @p3 (forall (@list @t6) (or (= @t7 @t1) (= @t7 @t3)))) % 47.02/47.24 (assume @p4 (forall (@list @t10 @t9 @t13 @t8) (=> (forall (@list @t15) (= (tptp.s__02 @t9 (tptp.chapp__02 @t14 @t16)) (tptp.s__02 @t9 (tptp.chapp__02 @t12 @t16)))) (= @t14 @t12)))) % 47.02/47.24 (assume @p5 (forall (@list @t21 @t17) (= (forall (@list @t20) @t19) @t19))) % 47.02/47.24 (assume @p6 (forall @t29 (= @t28 @t28))) % 47.02/47.24 (assume @p7 (and (forall @t31 (= (not @t30) @t19)) (= (not @t2) @t4) (= @t5 @t2))) % 47.02/47.24 (assume @p8 (forall (@list @t21 @t20) (= (= @t32 @t32) @t2))) % 47.02/47.24 (assume @p9 @t38) % 47.02/47.24 (assume @p10 (forall @t45 (and (= (not (and @t43 @t40)) (or @t44 @t41)) (= (not (or @t43 @t40)) (and @t44 @t41))))) % 47.02/47.24 (assume @p11 (forall @t45 (= (=> @t43 @t40) (or @t44 @t40)))) % 47.02/47.24 (assume @p12 @t47) % 47.02/47.24 (assume @p13 (forall @t29 (= (=> @t27 (=> @t25 @t23)) (=> (and @t27 @t25) @t23)))) % 47.02/47.24 (assume @p14 @t63) % 47.02/47.24 (assume @p15 (forall @t65 (= @t52 @t64))) % 47.02/47.24 (assume @p16 (forall @t67 (tptp.p__01 @t66))) % 47.02/47.24 (assume @p17 (forall @t65 (and (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2a_27__02 @t58 @t51)) @t58) (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2a_27__02 @t51 @t58)) @t58) (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2a_27__02 @t70 @t51)) @t51) (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2a_27__02 @t51 @t70)) @t51) (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2a_27__02 @t56 @t49)) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t68 @t49))) (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2a_27__02 @t51 @t54)) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t51 @t68)))))) % 47.02/47.24 (assume @p18 (forall @t76 (=> (and @t75 (tptp.p__01 @t73)) (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t51 @t72)))))) % 47.02/47.24 (assume @p19 (forall @t65 (= (= @t51 @t49) (and @t75 (tptp.p__01 @t77))))) % 47.02/47.24 (assume @p20 @t79) % 47.02/47.24 (assume @p21 (forall @t65 (= @t80 (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t54 @t51)))))) % 47.02/47.24 (assume @p22 (forall @t67 (= @t54 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t70 @t49))))) % 47.02/47.24 (assume @p23 (and (forall @t67 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t58 @t49)) @t49)) (forall @t67 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t49 @t58)) @t49)) (forall @t62 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 @t81 @t82)) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eNUMERAL_27__01 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2enumeral_2eiZ_27__01 @t64)))))) (forall @t67 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2a_27__02 @t58 @t49)) @t58)) (forall @t67 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2a_27__02 @t49 @t58)) @t58)) (forall @t62 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2a_27__02 @t81 @t82)) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eNUMERAL_27__01 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2a_27__02 @t49 @t51)))))) (forall @t67 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2d_27__02 @t58 @t49)) @t58)) (forall @t67 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2d_27__02 @t49 @t58)) @t49)) (forall @t62 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2d_27__02 @t81 @t82)) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eNUMERAL_27__01 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2d_27__02 @t49 @t51)))))) (forall @t67 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eEXP_27__02 @t58 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eNUMERAL_27__01 @t87)))) @t58)) (forall @t67 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eEXP_27__02 @t58 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eNUMERAL_27__01 @t86)))) @t58)) (forall @t67 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eEXP_27__02 @t49 @t58)) @t70)) (forall @t62 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eEXP_27__02 @t81 @t82)) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eNUMERAL_27__01 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eEXP_27__02 @t49 @t51)))))) (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2enum_2eSUC_27__01 @t58)) @t70) (forall @t67 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2enum_2eSUC_27__01 @t81)) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eNUMERAL_27__01 @t54)))) (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2eprim__rec_2ePRE_27__01 @t58)) @t58) (forall @t67 (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2eprim__rec_2ePRE_27__01 @t81)) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2eNUMERAL_27__01 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2eprim__rec_2ePRE_27__01 @t49)))))) (forall @t67 (= (= @t81 @t58) @t85)) (forall @t67 (= (= @t58 @t81) @t85)) (forall @t62 (= (= @t81 @t82) (= @t49 @t51))) (forall @t67 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eprim__rec_2e_3c_27__02 @t49 @t58)) @t3)) (forall @t67 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eprim__rec_2e_3c_27__02 @t58 @t81)) @t84)) (forall @t62 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eprim__rec_2e_3c_27__02 @t81 @t82)) (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eprim__rec_2e_3c_27__02 @t49 @t51)))) (forall @t67 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3e_27__02 @t58 @t49)) @t3)) (forall @t67 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3e_27__02 @t81 @t58)) @t84)) (forall @t62 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3e_27__02 @t81 @t82)) (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2eprim__rec_2e_3c_27__02 @t51 @t49)))) @t83 (forall @t67 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t81 @t58)) (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t49 @t69)))) (forall @t62 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t81 @t82)) @t77)) (forall @t67 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3e_3d_27__02 @t49 @t58)) @t1)) (forall @t67 (= (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3e_3d_27__02 @t58 @t49))) (= @t49 @t58))) (forall @t62 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3e_3d_27__02 @t81 @t82)) @t74)) (forall @t67 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2eODD_27__01 @t81)) (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2eODD_27__01 @t49)))) (forall @t67 (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2eEVEN_27__01 @t81)) (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2eEVEN_27__01 @t49)))) (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2eODD_27__01 @t58)))) (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2eEVEN_27__01 @t58))))) % 47.02/47.24 (assume @p24 (forall @t62 (and (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t69 @t49)) @t1) (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t87 @t69)) @t3) (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t86 @t69)) @t3) (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t87 @t89)) @t77) (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t87 @t88)) @t77) (= (tptp.p__01 (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t86 @t89))) @t80) (= (tptp.s__02 tptp.cbool__00 (tptp.c_27const_2earithmetic_2e_3c_3d_27__02 @t86 @t88)) @t77)))) % 47.02/47.24 (assume @p25 (forall (@list @t21 @t93 @t90) (= (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 (tptp.s__02 @t91 (tptp.c_27const_2elist_2eAPPEND_27__02 @t94 @t92)))) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2earithmetic_2e_2b_27__02 (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t94)) (tptp.s__02 tptp.c_27type_2enum_2enum_27__00 (tptp.c_27const_2elist_2eLENGTH_27__01 @t92))))))) % 47.02/47.24 (assume @p26 @t105) % 47.02/47.24 (assume @p27 @t113) % 47.02/47.24 (assume @p28 @t115) % 47.02/47.24 (assume @p29 @t130) % 47.02/47.24 (assume @p30 @t139) % 47.02/47.24 (assume @p31 true) % 47.02/47.24 (step @p32 :rule alpha_equiv :args (@t141 @t142 (@list (@var "BOUND_VARIABLE_8067" $$unsorted)))) % 47.02/47.24 (step @p33 :rule alpha_equiv :args (@t144 @t142 (@list (@var "BOUND_VARIABLE_8059" $$unsorted)))) % 47.02/47.24 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t145)) % 47.02/47.24 (step @p35 :rule quant-miniscope-and :args ((= (forall @t31 @t146) @t145))) % 47.02/47.24 (step @p36 :rule trans :premises (@p35 @p34)) % 47.02/47.24 (step @p37 :rule aci_norm :args ((= @t147 @t146))) % 47.02/47.24 (step @p38 :rule cong :premises (@p37) :args ((forall @t31 @t147))) % 47.02/47.24 (step @p39 :rule trans :premises (@p38 @p36)) % 47.02/47.24 (step @p40 :rule eq-symm :args (@t18 @t3)) % 47.02/47.24 (step @p41 :rule refl :args (@t30)) % 47.02/47.24 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t30 @t33))) % 47.02/47.24 (step @p43 :rule eq-symm :args (@t33 @t30)) % 47.02/47.24 (step @p44 :rule trans :premises (@p43 @p42)) % 47.02/47.24 (step @p45 :rule eq-symm :args (@t34 @t30)) % 47.02/47.24 (step @p46 :rule eq-symm :args (@t18 @t1)) % 47.02/47.24 (step @p47 :rule refl :args (@t19)) % 47.02/47.24 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t19 @t35))) % 47.02/47.24 (step @p49 :rule eq-symm :args (@t35 @t19)) % 47.02/47.24 (step @p50 :rule trans :premises (@p49 @p48)) % 47.02/47.24 (step @p51 :rule eq-symm :args (@t36 @t19)) % 47.02/47.24 (step @p52 :rule nary_cong :premises (@p51 @p50 @p45 @p44) :args (@t37)) % 47.02/47.24 (step @p53 :rule cong :premises (@p52) :args (@t38)) % 47.02/47.24 (step @p54 :rule trans :premises (@p53 @p39)) % 47.02/47.24 (step @p55 :rule eq_resolve :premises (@p9 @p54)) % 47.02/47.24 (step @p56 :rule and_elim :premises (@p55) :args (0)) % 47.02/47.24 (step @p57 :rule instantiate :premises (@p56) :args ((@list tptp.cF__00))) % 47.02/47.24 (step @p58 :rule cnf_equiv_pos2 :args (@t149)) % 47.02/47.24 (step @p59 :rule reordering :premises (@p58) :args ((or @t4 @t150 (not @t149)))) % 47.02/47.24 (step @p60 :rule chain_m_resolution :premises (@p59 @p2 @p57) :args (@t150 @t151 (@list @t4 @t149))) % 47.02/47.24 (step @p61 :rule instantiate :premises (@p25) :args ((@list @t155 @t154 @t153))) % 47.02/47.24 (step @p62 :rule bool-impl-elim :args (@t104 @t100)) % 47.02/47.24 (step @p63 :rule cong :premises (@p62) :args (@t105)) % 47.02/47.24 (step @p64 :rule eq_resolve :premises (@p26 @p63)) % 47.02/47.24 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t155 @t162 @t161 @t160 @t156))) % 47.02/47.24 (step @p66 :rule bool-impl-elim :args (@t136 @t135)) % 47.02/47.24 (step @p67 :rule cong :premises (@p66) :args (@t138)) % 47.02/47.24 (step @p68 :rule cong :premises (@p67) :args (@t139)) % 47.02/47.24 (step @p69 :rule eq_resolve :premises (@p30 @p68)) % 47.02/47.24 (step @p70 :rule skolemize :premises (@p69)) % 47.02/47.24 (step @p71 :rule bool-double-not-elim :args (@t169)) % 47.02/47.24 (step @p72 :rule refl :args (@t178)) % 47.02/47.24 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t178 (not @t177)))) % 47.02/47.24 (step @p74 :rule cnf_or_neg :args (@t178 0)) % 47.02/47.24 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 47.02/47.24 (step @p76 :rule reordering :premises (@p75) :args ((or @t169 @t178))) % 47.02/47.24 (step @p77 :rule chain_m_resolution :premises (@p76 @p70) :args (@t169 @t179 @t180)) % 47.02/47.24 (step @p78 :rule cnf_or_pos :args (@t184)) % 47.02/47.24 (step @p79 :rule reordering :premises (@p78) :args ((or @t177 @t183 (not @t184)))) % 47.02/47.24 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p65) :args (@t183 @t185 (@list @t169 @t184))) % 47.02/47.24 (step @p81 :rule bool-impl-elim :args (@t19 @t4)) % 47.02/47.24 (step @p82 :rule refl :args (@t34)) % 47.02/47.24 (step @p83 :rule cong :premises (@p82 @p81) :args (@t186)) % 47.02/47.24 (step @p84 :rule cong :premises (@p83) :args ((forall @t31 @t186))) % 47.02/47.24 (step @p85 :rule refl :args (@t46)) % 47.02/47.24 (step @p86 :rule cong :premises (@p40 @p85) :args ((= @t33 @t46))) % 47.02/47.24 (step @p87 :rule eq-symm :args (@t46 @t33)) % 47.02/47.24 (step @p88 :rule trans :premises (@p87 @p86)) % 47.02/47.24 (step @p89 :rule cong :premises (@p88) :args (@t47)) % 47.02/47.24 (step @p90 :rule trans :premises (@p89 @p84)) % 47.02/47.24 (step @p91 :rule eq_resolve :premises (@p12 @p90)) % 47.02/47.24 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t187))) % 47.02/47.24 (step @p93 :rule bool-impl-elim :args (@t110 @t188)) % 47.02/47.24 (step @p94 :rule cong :premises (@p93) :args ((forall @t112 (=> @t110 @t188)))) % 47.02/47.24 (step @p95 :rule eq-symm :args (@t109 @t49)) % 47.02/47.24 (step @p96 :rule refl :args (@t110)) % 47.02/47.24 (step @p97 :rule cong :premises (@p96 @p95) :args (@t111)) % 47.02/47.24 (step @p98 :rule cong :premises (@p97) :args (@t113)) % 47.02/47.24 (step @p99 :rule trans :premises (@p98 @p94)) % 47.02/47.24 (step @p100 :rule eq_resolve :premises (@p27 @p99)) % 47.02/47.24 (step @p101 :rule instantiate :premises (@p100) :args (@t189)) % 47.02/47.24 (step @p102 :rule aci_norm :args ((= (or (or @t191 @t190) @t126) (or @t191 @t190 @t126)))) % 47.02/47.24 (step @p103 :rule refl :args (@t126)) % 47.02/47.24 (step @p104 :rule bool-and-de-morgan :args (@t128 @t127 true)) % 47.02/47.24 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or (not @t129) @t126))) % 47.02/47.24 (step @p106 :rule trans :premises (@p105 @p102)) % 47.02/47.24 (step @p107 :rule bool-impl-elim :args (@t129 @t126)) % 47.02/47.24 (step @p108 :rule trans :premises (@p107 @p106)) % 47.02/47.24 (step @p109 :rule cong :premises (@p108) :args (@t130)) % 47.02/47.24 (step @p110 :rule eq_resolve :premises (@p29 @p109)) % 47.02/47.24 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t155 @t162 @t161 @t154 @t174 @t153 @t172))) % 47.02/47.24 (step @p112 :rule true_intro :premises (@p1)) % 47.02/47.24 (step @p113 :rule instantiate :premises (@p56) :args ((@list @t167))) % 47.02/47.24 (step @p114 :rule cnf_equiv_pos1 :args (@t193)) % 47.02/47.24 (step @p115 :rule reordering :premises (@p114) :args ((or @t177 @t192 (not @t193)))) % 47.02/47.24 (step @p116 :rule chain_m_resolution :premises (@p115 @p77 @p113) :args (@t192 @t185 (@list @t169 @t193))) % 47.02/47.24 (step @p117 :rule symm :premises (@p116)) % 47.02/47.24 (step @p118 :rule eq-symm :args (@t114 @t107)) % 47.02/47.24 (step @p119 :rule cong :premises (@p118) :args (@t115)) % 47.02/47.24 (step @p120 :rule eq_resolve :premises (@p28 @p119)) % 47.02/47.24 (step @p121 :rule instantiate :premises (@p120) :args (@t189)) % 47.02/47.24 (step @p122 :rule symm :premises (@p121)) % 47.02/47.24 (step @p123 :rule refl :args (@t165)) % 47.02/47.24 (step @p124 :rule refl :args (@t166)) % 47.02/47.24 (step @p125 :rule cong :premises (@p124 @p123 @p122) :args (@t194)) % 47.02/47.24 (step @p126 :rule refl :args (tptp.cbool__00)) % 47.02/47.24 (step @p127 :rule cong :premises (@p126 @p125) :args (@t195)) % 47.02/47.24 (step @p128 :rule trans :premises (@p127 @p117)) % 47.02/47.24 (step @p129 :rule cong :premises (@p128) :args (@t196)) % 47.02/47.24 (step @p130 :rule trans :premises (@p129 @p112)) % 47.02/47.24 (step @p131 :rule true_elim :premises (@p130)) % 47.02/47.24 (step @p132 :rule cnf_or_neg :args (@t178 1)) % 47.02/47.24 (step @p133 :rule chain_m_resolution :premises (@p132 @p70) :args ((not @t176) @t179 @t180)) % 47.02/47.24 (step @p134 :rule cnf_or_pos :args (@t200)) % 47.02/47.24 (step @p135 :rule reordering :premises (@p134) :args ((or @t176 @t198 @t199 (not @t200)))) % 47.02/47.24 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p131 @p111) :args (@t198 (@list true false false) (@list @t176 @t196 @t200))) % 47.02/47.24 (step @p137 :rule cnf_or_pos :args (@t204)) % 47.02/47.24 (step @p138 :rule reordering :premises (@p137) :args ((or @t203 @t197 (not @t204)))) % 47.02/47.24 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p101) :args (@t203 @t151 (@list @t197 @t204))) % 47.02/47.24 (step @p140 :rule bool-double-not-elim :args (@t202)) % 47.02/47.24 (step @p141 :rule refl :args (@t205)) % 47.02/47.24 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t205 (not @t203)))) % 47.02/47.24 (step @p143 :rule cnf_or_neg :args (@t205 0)) % 47.02/47.24 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 47.02/47.24 (step @p145 :rule reordering :premises (@p144) :args ((or @t202 @t205))) % 47.02/47.24 (step @p146 :rule chain_m_resolution :premises (@p145 @p139) :args (@t205 @t179 (@list @t202))) % 47.02/47.24 (step @p147 :rule cnf_equiv_pos2 :args (@t207)) % 47.02/47.24 (step @p148 :rule reordering :premises (@p147) :args ((or @t206 (not @t205) (not @t207)))) % 47.02/47.24 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p92) :args (@t206 @t185 (@list @t205 @t207))) % 47.02/47.24 (step @p150 :rule eq-symm :args (@t66 @t1)) % 47.02/47.24 (step @p151 :rule cong :premises (@p150) :args (@t83)) % 47.02/47.24 (step @p152 :rule and_elim :premises (@p23) :args (26)) % 47.02/47.24 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 47.02/47.24 (step @p154 :rule instantiate :premises (@p153) :args ((@list @t208))) % 47.02/47.24 (step @p155 :rule refl :args (@t213)) % 47.02/47.24 (step @p156 :rule refl :args (@t218)) % 47.02/47.24 (step @p157 :rule quant-unused-vars :args ((= @t223 (forall (@list @t219) @t221)))) % 47.02/47.24 (step @p158 :rule quant-unused-vars :args ((= @t228 (forall (@list @t224) @t226)))) % 47.02/47.24 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155) :args ((and @t228 @t223 @t218 @t213))) % 47.02/47.24 (step @p160 :rule alpha_equiv :args (@t230 @t231 (@list @t209 @t211))) % 47.02/47.24 (step @p161 :rule alpha_equiv :args (@t233 @t231 (@list @t214 @t216))) % 47.02/47.24 (step @p162 :rule alpha_equiv :args (@t235 @t231 (@list @t222 @t219))) % 47.02/47.24 (step @p163 :rule alpha_equiv :args (@t237 @t231 (@list @t227 @t224))) % 47.02/47.24 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161 @p160) :args (@t238)) % 47.02/47.24 (step @p165 :rule quant-miniscope-and :args ((= (forall @t62 (and @t236 @t234 @t232 @t229)) @t238))) % 47.02/47.24 (step @p166 :rule trans :premises (@p165 @p164)) % 47.02/47.24 (step @p167 :rule trans :premises (@p166 @p159)) % 47.02/47.24 (step @p168 :rule eq-symm :args (@t55 @t53)) % 47.02/47.24 (step @p169 :rule eq-symm :args (@t57 @t53)) % 47.02/47.24 (step @p170 :rule eq-symm :args (@t59 @t51)) % 47.02/47.24 (step @p171 :rule eq-symm :args (@t60 @t51)) % 47.02/47.24 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169 @p168) :args (@t61)) % 47.02/47.24 (step @p173 :rule cong :premises (@p172) :args (@t63)) % 47.02/47.24 (step @p174 :rule trans :premises (@p173 @p167)) % 47.02/47.24 (step @p175 :rule eq_resolve :premises (@p14 @p174)) % 47.02/47.24 (step @p176 :rule and_elim :premises (@p175) :args (1)) % 47.02/47.24 (step @p177 :rule instantiate :premises (@p176) :args ((@list @t170))) % 47.02/47.24 (step @p178 :rule eq-symm :args (@t78 @t73)) % 47.02/47.24 (step @p179 :rule cong :premises (@p178) :args (@t79)) % 47.02/47.24 (step @p180 :rule eq_resolve :premises (@p20 @p179)) % 47.02/47.24 (step @p181 :rule instantiate :premises (@p180) :args ((@list @t170 tptp.c_27const_2enum_2e0_27__00 @t208))) % 47.02/47.24 (step @p182 :rule refl :args (@t246)) % 47.02/47.24 (step @p183 :rule refl :args (@t248)) % 47.02/47.24 (step @p184 :rule refl :args (@t250)) % 47.02/47.24 (step @p185 :rule refl :args (@t251)) % 47.02/47.24 (step @p186 :rule refl :args (@t252)) % 47.02/47.24 (step @p187 :rule refl :args (@t254)) % 47.02/47.24 (step @p188 :rule bool-double-not-elim :args (@t148)) % 47.02/47.24 (step @p189 :rule nary_cong :premises (@p188 @p187 @p186 @p185 @p184 @p183 @p182) :args ((or (not @t150) @t254 @t252 @t251 @t250 @t248 @t246))) % 47.02/47.24 (assume-push @p234 @t246) % 47.02/47.24 (assume-push @p235 @t245) % 47.02/47.24 (step @p192 :rule evaluate :args ((= false true))) % 47.02/47.24 (step @p193 :rule true_intro :premises (@p181)) % 47.02/47.24 (step @p194 :rule false_intro :premises (@p60)) % 47.02/47.24 (step @p195 :rule symm :premises (@p149)) % 47.02/47.24 (step @p196 :rule symm :premises (@p61)) % 47.02/47.24 (step @p197 :rule trans :premises (@p196 @p80)) % 47.02/47.24 (step @p198 :rule symm :premises (@p177)) % 47.02/47.24 (step @p199 :rule cong :premises (@p198 @p197) :args (@t242)) % 47.02/47.24 (step @p200 :rule cong :premises (@p126 @p199) :args (@t243)) % 47.02/47.24 (step @p201 :rule trans :premises (@p200 @p195)) % 47.02/47.24 (step @p202 :rule symm :premises (@p154)) % 47.02/47.24 (step @p203 :rule cong :premises (@p202 @p201) :args (@t245)) % 47.02/47.24 (step @p204 :rule trans :premises (@p203 @p194)) % 47.02/47.24 (step @p205 :rule symm :premises (@p204)) % 47.02/47.24 (step @p206 :rule trans :premises (@p205 @p193)) % 47.02/47.24 (step @p207 false :rule eq_resolve :premises (@p206 @p192)) % 47.02/47.24 (step-pop @p236 :rule scope :premises (@p207)) % 47.02/47.24 (step-pop @p237 :rule scope :premises (@p236)) % 47.02/47.24 (step @p208 :rule process_scope :premises (@p237) :args (false)) % 47.02/47.24 (assume-push @p238 @t150) % 47.02/47.24 (assume-push @p239 @t253) % 47.02/47.24 (assume-push @p240 @t183) % 47.02/47.24 (assume-push @p241 @t206) % 47.02/47.24 (assume-push @p242 @t249) % 47.02/47.24 (assume-push @p243 @t247) % 47.02/47.24 (assume-push @p244 @t245) % 47.02/47.24 (step @p194 :rule false_intro :premises (@p60)) % 47.02/47.24 (step @p195 :rule symm :premises (@p149)) % 47.02/47.24 (step @p196 :rule symm :premises (@p61)) % 47.02/47.24 (step @p197 :rule trans :premises (@p196 @p80)) % 47.02/47.24 (step @p198 :rule symm :premises (@p177)) % 47.02/47.24 (step @p199 :rule cong :premises (@p198 @p197) :args (@t242)) % 47.02/47.24 (step @p200 :rule cong :premises (@p126 @p199) :args (@t243)) % 47.02/47.24 (step @p201 :rule trans :premises (@p200 @p195)) % 47.02/47.24 (step @p202 :rule symm :premises (@p154)) % 47.02/47.24 (step @p203 :rule cong :premises (@p202 @p201) :args (@t245)) % 47.02/47.24 (step @p218 :rule trans :premises (@p203 @p194)) % 47.02/47.24 (step @p219 :rule false_elim :premises (@p218)) % 47.02/47.24 (step @p220 :rule and_intro :premises (@p219 @p181)) % 47.02/47.24 (step-pop @p245 :rule scope :premises (@p220)) % 47.02/47.24 (step-pop @p246 :rule scope :premises (@p245)) % 47.02/47.25 (step-pop @p247 :rule scope :premises (@p246)) % 47.02/47.25 (step-pop @p248 :rule scope :premises (@p247)) % 47.02/47.25 (step-pop @p249 :rule scope :premises (@p248)) % 47.02/47.25 (step-pop @p250 :rule scope :premises (@p249)) % 47.02/47.25 (step-pop @p251 :rule scope :premises (@p250)) % 47.02/47.25 (step @p221 :rule process_scope :premises (@p251) :args (@t255)) % 47.02/47.25 (step @p229 :rule implies_elim :premises (@p221)) % 47.02/47.25 (step @p230 :rule resolution :premises (@p229 @p208) :args (true @t255)) % 47.02/47.25 (step @p231 :rule not_and :premises (@p230)) % 47.02/47.25 (step @p232 :rule eq_resolve :premises (@p231 @p189)) % 47.02/47.25 (step @p233 false :rule chain_m_resolution :premises (@p232 @p181 @p177 @p154 @p149 @p80 @p61 @p60) :args (false (@list false false false false false false true) (@list @t245 @t247 @t249 @t206 @t183 @t253 @t148))) % 47.02/47.25 ) % 47.02/47.25 % SZS output end Proof % 47.02/47.25 % cvc5 exiting %------------------------------------------------------------------------------