%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP021+2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:24:45 AM UTC 2026 % Result : Theorem 69.22s 69.44s % Output : Proof 69.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP021+2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:01:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 69.22/69.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 69.22/69.44 --- Run --no-e-matching --full-saturate-quant at 6... % 69.22/69.44 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 69.22/69.44 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 69.22/69.44 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 69.22/69.44 --- Run --trigger-sel=max --full-saturate-quant at 15... % 69.22/69.44 % SZS status Theorem % 69.22/69.44 % SZS output start Proof % 69.22/69.44 ( % 69.22/69.44 (declare-sort $$unsorted 0) % 69.22/69.44 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 69.22/69.44 (declare-const tptp.c_2Ebool_2E_5C_2F $$unsorted) % 69.22/69.44 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 69.22/69.44 (declare-const tptp.c_2Eextreal_2Eextreal__max $$unsorted) % 69.22/69.44 (declare-const tptp.ty_2Eextreal_2Eextreal $$unsorted) % 69.22/69.44 (declare-const tptp.ne (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.c_2Ebool_2E_21 (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 69.22/69.44 (declare-const tptp.c_2Eextreal_2Eextreal__le $$unsorted) % 69.22/69.44 (declare-const tptp.ind $$unsorted) % 69.22/69.44 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 69.22/69.44 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.c_2Emin_2E_3D (-> $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.bool $$unsorted) % 69.22/69.44 (declare-const tptp.arr (-> $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.p (-> $$unsorted Bool)) % 69.22/69.44 (declare-const tptp.k (-> $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 69.22/69.44 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 69.22/69.44 (declare-const tptp.c_2Ebool_2ECOND (-> $$unsorted $$unsorted)) % 69.22/69.44 (define @t1 () (@var "B" $$unsorted)) % 69.22/69.44 (define @t2 () (@var "A" $$unsorted)) % 69.22/69.44 (define @t3 () (tptp.arr @t2 @t1)) % 69.22/69.44 (define @t4 () (tptp.ne @t2)) % 69.22/69.44 (define @t5 () (@list @t2)) % 69.22/69.44 (define @t6 () (@var "X" $$unsorted)) % 69.22/69.44 (define @t7 () (@var "F" $$unsorted)) % 69.22/69.44 (define @t8 () (tptp.ap @t7 @t6)) % 69.22/69.44 (define @t9 () (tptp.mem @t8 @t1)) % 69.22/69.44 (define @t10 () (tptp.mem @t6 @t2)) % 69.22/69.44 (define @t11 () (@list @t6)) % 69.22/69.44 (define @t12 () (forall @t11 (=> @t10 @t9))) % 69.22/69.44 (define @t13 () (tptp.mem @t7 @t3)) % 69.22/69.44 (define @t14 () (=> @t13 @t12)) % 69.22/69.44 (define @t15 () (@list @t2 @t1 @t7)) % 69.22/69.44 (define @t16 () (forall @t15 @t14)) % 69.22/69.44 (define @t17 () (@var "R" $$unsorted)) % 69.22/69.44 (define @t18 () (@var "Q" $$unsorted)) % 69.22/69.44 (define @t19 () (= @t18 @t17)) % 69.22/69.44 (define @t20 () (tptp.p @t17)) % 69.22/69.44 (define @t21 () (tptp.p @t18)) % 69.22/69.44 (define @t22 () (= @t21 @t20)) % 69.22/69.44 (define @t23 () (=> @t22 @t19)) % 69.22/69.44 (define @t24 () (tptp.mem @t17 tptp.bool)) % 69.22/69.44 (define @t25 () (@list @t17)) % 69.22/69.44 (define @t26 () (forall @t25 (=> @t24 @t23))) % 69.22/69.44 (define @t27 () (tptp.mem @t18 tptp.bool)) % 69.22/69.44 (define @t28 () (=> @t27 @t26)) % 69.22/69.44 (define @t29 () (@list @t18)) % 69.22/69.44 (define @t30 () (forall @t29 @t28)) % 69.22/69.44 (define @t31 () (@var "G" $$unsorted)) % 69.22/69.44 (define @t32 () (@var "Y" $$unsorted)) % 69.22/69.44 (define @t33 () (tptp.ap (tptp.i @t2) @t6)) % 69.22/69.44 (define @t34 () (=> @t10 (= @t33 @t6))) % 69.22/69.44 (define @t35 () (@list @t2 @t6)) % 69.22/69.44 (define @t36 () (forall @t35 @t34)) % 69.22/69.44 (define @t37 () (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 69.22/69.44 (define @t38 () (tptp.p tptp.c_2Ebool_2ET)) % 69.22/69.44 (define @t39 () (tptp.ne tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t40 () (tptp.arr tptp.ty_2Eextreal_2Eextreal tptp.bool)) % 69.22/69.44 (define @t41 () (tptp.mem tptp.c_2Eextreal_2Eextreal__le (tptp.arr tptp.ty_2Eextreal_2Eextreal @t40))) % 69.22/69.44 (define @t42 () (@var "A_27a" $$unsorted)) % 69.22/69.44 (define @t43 () (tptp.c_2Ebool_2ECOND @t42)) % 69.22/69.44 (define @t44 () (tptp.ne @t42)) % 69.22/69.44 (define @t45 () (@list @t42)) % 69.22/69.44 (define @t46 () (tptp.arr tptp.ty_2Eextreal_2Eextreal tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t47 () (tptp.mem tptp.c_2Eextreal_2Eextreal__max (tptp.arr tptp.ty_2Eextreal_2Eextreal @t46))) % 69.22/69.44 (define @t48 () (tptp.mem tptp.c_2Ebool_2EF tptp.bool)) % 69.22/69.44 (define @t49 () (tptp.p tptp.c_2Ebool_2EF)) % 69.22/69.44 (define @t50 () (not @t49)) % 69.22/69.44 (define @t51 () (tptp.arr tptp.bool tptp.bool)) % 69.22/69.44 (define @t52 () (tptp.arr tptp.bool @t51)) % 69.22/69.44 (define @t53 () (tptp.ap tptp.c_2Ebool_2E_5C_2F @t18)) % 69.22/69.44 (define @t54 () (= (tptp.p (tptp.ap @t53 @t17)) (or @t21 @t20))) % 69.22/69.44 (define @t55 () (forall @t25 (=> @t24 @t54))) % 69.22/69.44 (define @t56 () (=> @t27 @t55)) % 69.22/69.44 (define @t57 () (forall @t29 @t56)) % 69.22/69.44 (define @t58 () (not @t21)) % 69.22/69.44 (define @t59 () (tptp.arr @t42 tptp.bool)) % 69.22/69.44 (define @t60 () (@var "V1t2" $$unsorted)) % 69.22/69.44 (define @t61 () (tptp.p @t60)) % 69.22/69.44 (define @t62 () (@var "V0t1" $$unsorted)) % 69.22/69.44 (define @t63 () (tptp.p @t62)) % 69.22/69.44 (define @t64 () (@list @t60)) % 69.22/69.44 (define @t65 () (@list @t62)) % 69.22/69.44 (define @t66 () (@var "V0t" $$unsorted)) % 69.22/69.44 (define @t67 () (tptp.p @t66)) % 69.22/69.44 (define @t68 () (=> false @t67)) % 69.22/69.44 (define @t69 () (tptp.mem @t66 tptp.bool)) % 69.22/69.44 (define @t70 () (@list @t66)) % 69.22/69.44 (define @t71 () (not @t67)) % 69.22/69.44 (define @t72 () (=> @t67 false)) % 69.22/69.44 (define @t73 () (forall @t70 (=> @t69 (= (not @t71) @t67)))) % 69.22/69.44 (define @t74 () (@var "V0x" $$unsorted)) % 69.22/69.44 (define @t75 () (@var "V1y" $$unsorted)) % 69.22/69.44 (define @t76 () (@list @t75)) % 69.22/69.44 (define @t77 () (@list @t74)) % 69.22/69.44 (define @t78 () (tptp.ap @t43 tptp.c_2Ebool_2EF)) % 69.22/69.44 (define @t79 () (tptp.ap @t78 @t62)) % 69.22/69.44 (define @t80 () (tptp.ap @t79 @t60)) % 69.22/69.44 (define @t81 () (tptp.ap @t43 tptp.c_2Ebool_2ET)) % 69.22/69.44 (define @t82 () (tptp.ap @t81 @t62)) % 69.22/69.44 (define @t83 () (tptp.ap @t82 @t60)) % 69.22/69.44 (define @t84 () (and (= @t83 @t62) (= @t80 @t60))) % 69.22/69.44 (define @t85 () (tptp.mem @t60 @t42)) % 69.22/69.44 (define @t86 () (=> @t85 @t84)) % 69.22/69.44 (define @t87 () (forall @t64 @t86)) % 69.22/69.44 (define @t88 () (tptp.mem @t62 @t42)) % 69.22/69.44 (define @t89 () (=> @t88 @t87)) % 69.22/69.44 (define @t90 () (forall @t65 @t89)) % 69.22/69.44 (define @t91 () (=> @t44 @t90)) % 69.22/69.44 (define @t92 () (forall @t45 @t91)) % 69.22/69.44 (define @t93 () (@var "V2C" $$unsorted)) % 69.22/69.44 (define @t94 () (@var "V1B" $$unsorted)) % 69.22/69.44 (define @t95 () (tptp.p @t94)) % 69.22/69.44 (define @t96 () (@var "V0A" $$unsorted)) % 69.22/69.44 (define @t97 () (tptp.p @t96)) % 69.22/69.44 (define @t98 () (or @t97 @t95 (tptp.p @t93))) % 69.22/69.44 (define @t99 () (tptp.mem @t94 tptp.bool)) % 69.22/69.44 (define @t100 () (@list @t94)) % 69.22/69.44 (define @t101 () (tptp.mem @t96 tptp.bool)) % 69.22/69.44 (define @t102 () (@list @t96)) % 69.22/69.44 (define @t103 () (or @t97 @t95)) % 69.22/69.44 (define @t104 () (not @t95)) % 69.22/69.44 (define @t105 () (not @t97)) % 69.22/69.44 (define @t106 () (not @t103)) % 69.22/69.44 (define @t107 () (@var "V2z" $$unsorted)) % 69.22/69.44 (define @t108 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t74)) % 69.22/69.44 (define @t109 () (tptp.p (tptp.ap @t108 @t107))) % 69.22/69.44 (define @t110 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t75)) % 69.22/69.44 (define @t111 () (tptp.p (tptp.ap @t110 @t107))) % 69.22/69.44 (define @t112 () (tptp.ap @t108 @t75)) % 69.22/69.44 (define @t113 () (tptp.p @t112)) % 69.22/69.44 (define @t114 () (and @t113 @t111)) % 69.22/69.44 (define @t115 () (=> @t114 @t109)) % 69.22/69.44 (define @t116 () (tptp.mem @t107 tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t117 () (@list @t107)) % 69.22/69.44 (define @t118 () (forall @t117 (=> @t116 @t115))) % 69.22/69.44 (define @t119 () (tptp.mem @t75 tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t120 () (=> @t119 @t118)) % 69.22/69.44 (define @t121 () (forall @t76 @t120)) % 69.22/69.44 (define @t122 () (tptp.mem @t74 tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t123 () (=> @t122 @t121)) % 69.22/69.44 (define @t124 () (forall @t77 @t123)) % 69.22/69.44 (define @t125 () (tptp.p (tptp.ap @t110 @t74))) % 69.22/69.44 (define @t126 () (or @t113 @t125)) % 69.22/69.44 (define @t127 () (forall @t76 (=> @t119 @t126))) % 69.22/69.44 (define @t128 () (=> @t122 @t127)) % 69.22/69.44 (define @t129 () (forall @t77 @t128)) % 69.22/69.44 (define @t130 () (tptp.c_2Ebool_2ECOND tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t131 () (tptp.ap tptp.c_2Eextreal_2Eextreal__max @t74)) % 69.22/69.44 (define @t132 () (= (tptp.ap @t131 @t75) (tptp.ap (tptp.ap (tptp.ap @t130 @t112) @t75) @t74))) % 69.22/69.44 (define @t133 () (forall @t76 (=> @t119 @t132))) % 69.22/69.44 (define @t134 () (=> @t122 @t133)) % 69.22/69.44 (define @t135 () (forall @t77 @t134)) % 69.22/69.44 (define @t136 () (=> @t105 false)) % 69.22/69.44 (define @t137 () (=> @t104 false)) % 69.22/69.44 (define @t138 () (=> @t97 false)) % 69.22/69.44 (define @t139 () (@var "V0p" $$unsorted)) % 69.22/69.44 (define @t140 () (tptp.p @t139)) % 69.22/69.44 (define @t141 () (not @t140)) % 69.22/69.44 (define @t142 () (@var "V1q" $$unsorted)) % 69.22/69.44 (define @t143 () (tptp.p @t142)) % 69.22/69.44 (define @t144 () (not @t143)) % 69.22/69.44 (define @t145 () (@var "V2r" $$unsorted)) % 69.22/69.44 (define @t146 () (tptp.p @t145)) % 69.22/69.44 (define @t147 () (not @t146)) % 69.22/69.44 (define @t148 () (tptp.mem @t145 tptp.bool)) % 69.22/69.44 (define @t149 () (@list @t145)) % 69.22/69.44 (define @t150 () (tptp.mem @t142 tptp.bool)) % 69.22/69.44 (define @t151 () (@list @t142)) % 69.22/69.44 (define @t152 () (tptp.mem @t139 tptp.bool)) % 69.22/69.44 (define @t153 () (@list @t139)) % 69.22/69.44 (define @t154 () (or @t140 @t147)) % 69.22/69.44 (define @t155 () (or @t140 @t143)) % 69.22/69.44 (define @t156 () (@var "V0z" $$unsorted)) % 69.22/69.44 (define @t157 () (@var "V2y" $$unsorted)) % 69.22/69.44 (define @t158 () (@var "V1x" $$unsorted)) % 69.22/69.44 (define @t159 () (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t158) @t156))) % 69.22/69.44 (define @t160 () (tptp.ap tptp.c_2Eextreal_2Eextreal__max @t158)) % 69.22/69.44 (define @t161 () (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le (tptp.ap @t160 @t157)) @t156)) (and @t159 (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t157) @t156))))) % 69.22/69.44 (define @t162 () (tptp.mem @t157 tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t163 () (@list @t157)) % 69.22/69.44 (define @t164 () (forall @t163 (=> @t162 @t161))) % 69.22/69.44 (define @t165 () (tptp.mem @t158 tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t166 () (=> @t165 @t164)) % 69.22/69.44 (define @t167 () (@list @t158)) % 69.22/69.44 (define @t168 () (forall @t167 @t166)) % 69.22/69.44 (define @t169 () (tptp.mem @t156 tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t170 () (=> @t169 @t168)) % 69.22/69.44 (define @t171 () (@list @t156)) % 69.22/69.44 (define @t172 () (forall @t171 @t170)) % 69.22/69.44 (define @t173 () (not @t172)) % 69.22/69.44 (define @t174 () (@var "BOUND_VARIABLE_8435" $$unsorted)) % 69.22/69.44 (define @t175 () (= (tptp.ap @t131 @t174) (tptp.ap (tptp.ap (tptp.ap @t130 (tptp.ap @t108 @t174)) @t174) @t74))) % 69.22/69.44 (define @t176 () (not (tptp.mem @t174 tptp.ty_2Eextreal_2Eextreal))) % 69.22/69.44 (define @t177 () (not @t122)) % 69.22/69.44 (define @t178 () (or @t176 @t175)) % 69.22/69.44 (define @t179 () (or @t177 @t178)) % 69.22/69.44 (define @t180 () (forall (@list @t74 @t174) @t179)) % 69.22/69.44 (define @t181 () (@list @t174)) % 69.22/69.44 (define @t182 () (forall @t181 @t179)) % 69.22/69.44 (define @t183 () (forall @t181 @t178)) % 69.22/69.44 (define @t184 () (@list @t75)) % 69.22/69.44 (define @t185 () (or @t177 @t183)) % 69.22/69.44 (define @t186 () (not @t119)) % 69.22/69.44 (define @t187 () (forall @t76 (or @t186 @t132))) % 69.22/69.44 (define @t188 () (@var "BOUND_VARIABLE_8763" $$unsorted)) % 69.22/69.44 (define @t189 () (@var "BOUND_VARIABLE_8761" $$unsorted)) % 69.22/69.44 (define @t190 () (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__max @t189) @t188)) @t156)) (and (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t189) @t156)) (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t188) @t156))))) % 69.22/69.44 (define @t191 () (not (tptp.mem @t188 tptp.ty_2Eextreal_2Eextreal))) % 69.22/69.44 (define @t192 () (not (tptp.mem @t189 tptp.ty_2Eextreal_2Eextreal))) % 69.22/69.44 (define @t193 () (not @t169)) % 69.22/69.44 (define @t194 () (or @t193 @t192 @t191 @t190)) % 69.22/69.44 (define @t195 () (@list @t156 @t189 @t188)) % 69.22/69.44 (define @t196 () (forall @t195 @t194)) % 69.22/69.44 (define @t197 () (@quantifiers_skolemize @t196 2)) % 69.22/69.44 (define @t198 () (@quantifiers_skolemize @t196 1)) % 69.22/69.44 (define @t199 () (@list @t198 @t197)) % 69.22/69.44 (define @t200 () (or @t192 @t191 @t190)) % 69.22/69.44 (define @t201 () (or @t193 @t200)) % 69.22/69.44 (define @t202 () (forall @t195 @t201)) % 69.22/69.44 (define @t203 () (@list @t189 @t188)) % 69.22/69.44 (define @t204 () (forall @t203 @t201)) % 69.22/69.44 (define @t205 () (forall @t203 @t200)) % 69.22/69.44 (define @t206 () (@var "BOUND_VARIABLE_8737" $$unsorted)) % 69.22/69.44 (define @t207 () (or @t193 @t205)) % 69.22/69.44 (define @t208 () (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le (tptp.ap @t160 @t206)) @t156)) (and @t159 (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t206) @t156))))) % 69.22/69.44 (define @t209 () (not (tptp.mem @t206 tptp.ty_2Eextreal_2Eextreal))) % 69.22/69.44 (define @t210 () (not @t165)) % 69.22/69.44 (define @t211 () (or @t210 @t209 @t208)) % 69.22/69.44 (define @t212 () (@list @t158 @t206)) % 69.22/69.44 (define @t213 () (forall @t212 @t211)) % 69.22/69.44 (define @t214 () (or @t209 @t208)) % 69.22/69.44 (define @t215 () (or @t210 @t214)) % 69.22/69.44 (define @t216 () (forall @t212 @t215)) % 69.22/69.44 (define @t217 () (@list @t206)) % 69.22/69.44 (define @t218 () (forall @t217 @t215)) % 69.22/69.44 (define @t219 () (forall @t217 @t214)) % 69.22/69.44 (define @t220 () (or @t210 @t219)) % 69.22/69.44 (define @t221 () (forall @t163 (or (not @t162) @t161))) % 69.22/69.44 (define @t222 () (tptp.mem @t197 tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t223 () (@quantifiers_skolemize @t196 0)) % 69.22/69.44 (define @t224 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t197)) % 69.22/69.44 (define @t225 () (tptp.ap @t224 @t223)) % 69.22/69.44 (define @t226 () (tptp.p @t225)) % 69.22/69.44 (define @t227 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t198)) % 69.22/69.44 (define @t228 () (tptp.ap @t227 @t223)) % 69.22/69.44 (define @t229 () (tptp.p @t228)) % 69.22/69.44 (define @t230 () (and @t229 @t226)) % 69.22/69.44 (define @t231 () (tptp.ap tptp.c_2Eextreal_2Eextreal__max @t198)) % 69.22/69.44 (define @t232 () (tptp.ap @t231 @t197)) % 69.22/69.44 (define @t233 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t232)) % 69.22/69.44 (define @t234 () (tptp.ap @t233 @t223)) % 69.22/69.44 (define @t235 () (tptp.p @t234)) % 69.22/69.44 (define @t236 () (= @t235 @t230)) % 69.22/69.44 (define @t237 () (not @t222)) % 69.22/69.44 (define @t238 () (tptp.mem @t198 tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t239 () (not @t238)) % 69.22/69.44 (define @t240 () (tptp.mem @t223 tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t241 () (not @t240)) % 69.22/69.44 (define @t242 () (or @t241 @t239 @t237 @t236)) % 69.22/69.44 (define @t243 () (@list true)) % 69.22/69.44 (define @t244 () (@list @t242)) % 69.22/69.44 (define @t245 () (tptp.ap @t227 @t197)) % 69.22/69.44 (define @t246 () (tptp.ap @t130 @t245)) % 69.22/69.44 (define @t247 () (tptp.ap @t246 @t197)) % 69.22/69.44 (define @t248 () (tptp.ap @t247 @t198)) % 69.22/69.44 (define @t249 () (= @t232 @t248)) % 69.22/69.44 (define @t250 () (or @t239 @t237 @t249)) % 69.22/69.44 (define @t251 () (@list false false false)) % 69.22/69.44 (define @t252 () (@list @t198 @t198)) % 69.22/69.44 (define @t253 () (tptp.ap @t227 @t198)) % 69.22/69.44 (define @t254 () (tptp.ap @t130 @t253)) % 69.22/69.44 (define @t255 () (tptp.ap @t254 @t198)) % 69.22/69.44 (define @t256 () (tptp.ap @t255 @t198)) % 69.22/69.44 (define @t257 () (tptp.ap @t231 @t198)) % 69.22/69.44 (define @t258 () (= @t257 @t256)) % 69.22/69.44 (define @t259 () (or @t239 @t239 @t258)) % 69.22/69.44 (define @t260 () (@list false false)) % 69.22/69.44 (define @t261 () (@var "BOUND_VARIABLE_8289" $$unsorted)) % 69.22/69.44 (define @t262 () (@var "BOUND_VARIABLE_8287" $$unsorted)) % 69.22/69.44 (define @t263 () (and (= @t262 (tptp.ap (tptp.ap @t81 @t262) @t261)) (= @t261 (tptp.ap (tptp.ap @t78 @t262) @t261)))) % 69.22/69.44 (define @t264 () (not (tptp.mem @t261 @t42))) % 69.22/69.44 (define @t265 () (not (tptp.mem @t262 @t42))) % 69.22/69.44 (define @t266 () (not @t44)) % 69.22/69.44 (define @t267 () (or @t265 @t264 @t263)) % 69.22/69.44 (define @t268 () (or @t266 @t267)) % 69.22/69.44 (define @t269 () (forall (@list @t42 @t262 @t261) @t268)) % 69.22/69.44 (define @t270 () (@list @t262 @t261)) % 69.22/69.44 (define @t271 () (forall @t270 @t268)) % 69.22/69.44 (define @t272 () (forall @t270 @t267)) % 69.22/69.44 (define @t273 () (@var "BOUND_VARIABLE_8268" $$unsorted)) % 69.22/69.44 (define @t274 () (or @t266 @t272)) % 69.22/69.44 (define @t275 () (and (= @t62 (tptp.ap @t82 @t273)) (= @t273 (tptp.ap @t79 @t273)))) % 69.22/69.44 (define @t276 () (not (tptp.mem @t273 @t42))) % 69.22/69.44 (define @t277 () (not @t88)) % 69.22/69.44 (define @t278 () (or @t277 @t276 @t275)) % 69.22/69.44 (define @t279 () (@list @t62 @t273)) % 69.22/69.44 (define @t280 () (forall @t279 @t278)) % 69.22/69.44 (define @t281 () (or @t276 @t275)) % 69.22/69.44 (define @t282 () (or @t277 @t281)) % 69.22/69.44 (define @t283 () (forall @t279 @t282)) % 69.22/69.44 (define @t284 () (@list @t273)) % 69.22/69.44 (define @t285 () (forall @t284 @t282)) % 69.22/69.44 (define @t286 () (forall @t284 @t281)) % 69.22/69.44 (define @t287 () (or @t277 @t286)) % 69.22/69.44 (define @t288 () (and (= @t62 @t83) (= @t60 @t80))) % 69.22/69.44 (define @t289 () (forall @t64 (or (not @t85) @t288))) % 69.22/69.44 (define @t290 () (tptp.ap @t130 tptp.c_2Ebool_2EF)) % 69.22/69.44 (define @t291 () (tptp.ap @t130 tptp.c_2Ebool_2ET)) % 69.22/69.44 (define @t292 () (= @t198 (tptp.ap (tptp.ap @t291 @t198) @t198))) % 69.22/69.44 (define @t293 () (and @t292 (= @t198 (tptp.ap (tptp.ap @t290 @t198) @t198)))) % 69.22/69.44 (define @t294 () (not @t39)) % 69.22/69.44 (define @t295 () (or @t294 @t239 @t239 @t293)) % 69.22/69.44 (define @t296 () (@list false)) % 69.22/69.44 (define @t297 () (@var "BOUND_VARIABLE_7963" $$unsorted)) % 69.22/69.44 (define @t298 () (= @t18 @t297)) % 69.22/69.44 (define @t299 () (tptp.p @t297)) % 69.22/69.44 (define @t300 () (not (tptp.mem @t297 tptp.bool))) % 69.22/69.44 (define @t301 () (not @t27)) % 69.22/69.44 (define @t302 () (= @t299 @t58)) % 69.22/69.44 (define @t303 () (or @t301 @t300 @t302 @t298)) % 69.22/69.44 (define @t304 () (or @t300 @t302 @t298)) % 69.22/69.44 (define @t305 () (or @t301 @t304)) % 69.22/69.44 (define @t306 () (@list @t18 @t297)) % 69.22/69.44 (define @t307 () (forall @t306 @t305)) % 69.22/69.44 (define @t308 () (@list @t297)) % 69.22/69.44 (define @t309 () (forall @t308 @t305)) % 69.22/69.44 (define @t310 () (forall @t308 @t304)) % 69.22/69.44 (define @t311 () (@list @t17)) % 69.22/69.44 (define @t312 () (or @t301 @t310)) % 69.22/69.44 (define @t313 () (not @t24)) % 69.22/69.44 (define @t314 () (forall @t25 (or @t313 (= @t20 @t58) @t19))) % 69.22/69.44 (define @t315 () (= @t58 @t20)) % 69.22/69.44 (define @t316 () (or @t313 @t315 @t19)) % 69.22/69.44 (define @t317 () (@var "BOUND_VARIABLE_8413" $$unsorted)) % 69.22/69.44 (define @t318 () (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t317) @t74))) % 69.22/69.44 (define @t319 () (tptp.p (tptp.ap @t108 @t317))) % 69.22/69.44 (define @t320 () (not (tptp.mem @t317 tptp.ty_2Eextreal_2Eextreal))) % 69.22/69.44 (define @t321 () (or @t320 @t319 @t318)) % 69.22/69.44 (define @t322 () (or @t177 @t321)) % 69.22/69.44 (define @t323 () (forall (@list @t74 @t317) @t322)) % 69.22/69.44 (define @t324 () (@list @t317)) % 69.22/69.44 (define @t325 () (forall @t324 @t322)) % 69.22/69.44 (define @t326 () (forall @t324 @t321)) % 69.22/69.44 (define @t327 () (or @t177 @t326)) % 69.22/69.44 (define @t328 () (or @t186 @t113 @t125)) % 69.22/69.44 (define @t329 () (forall @t76 @t328)) % 69.22/69.44 (define @t330 () (tptp.p @t253)) % 69.22/69.44 (define @t331 () (or @t239 @t239 @t330 @t330)) % 69.22/69.44 (define @t332 () (not @t38)) % 69.22/69.44 (define @t333 () (= @t332 @t330)) % 69.22/69.44 (define @t334 () (not @t333)) % 69.22/69.44 (define @t335 () (@var "BOUND_VARIABLE_7936" $$unsorted)) % 69.22/69.44 (define @t336 () (tptp.mem (tptp.ap @t7 @t335) @t1)) % 69.22/69.44 (define @t337 () (not (tptp.mem @t335 @t2))) % 69.22/69.44 (define @t338 () (not @t13)) % 69.22/69.44 (define @t339 () (or @t337 @t336)) % 69.22/69.44 (define @t340 () (or @t338 @t339)) % 69.22/69.44 (define @t341 () (forall (@list @t2 @t1 @t7 @t335) @t340)) % 69.22/69.44 (define @t342 () (@list @t335)) % 69.22/69.44 (define @t343 () (forall @t342 @t340)) % 69.22/69.44 (define @t344 () (forall @t342 @t339)) % 69.22/69.44 (define @t345 () (or @t338 @t344)) % 69.22/69.44 (define @t346 () (forall @t11 (or (not @t10) @t9))) % 69.22/69.44 (define @t347 () (tptp.mem @t227 @t40)) % 69.22/69.44 (define @t348 () (not @t41)) % 69.22/69.44 (define @t349 () (or @t348 @t239 @t347)) % 69.22/69.44 (define @t350 () (tptp.mem @t253 tptp.bool)) % 69.22/69.44 (define @t351 () (not @t347)) % 69.22/69.44 (define @t352 () (or @t351 @t239 @t350)) % 69.22/69.44 (define @t353 () (= tptp.c_2Ebool_2ET @t253)) % 69.22/69.44 (define @t354 () (not @t350)) % 69.22/69.44 (define @t355 () (not @t37)) % 69.22/69.44 (define @t356 () (or @t355 @t354 @t333 @t353)) % 69.22/69.44 (define @t357 () (@list false false true false)) % 69.22/69.44 (define @t358 () (tptp.ap tptp.c_2Ebool_2E_5C_2F tptp.c_2Ebool_2EF)) % 69.22/69.44 (define @t359 () (forall @t11 (or (not (tptp.mem @t6 tptp.bool)) (tptp.p (tptp.ap @t358 @t6))))) % 69.22/69.44 (define @t360 () (@quantifiers_skolemize @t359 0)) % 69.22/69.44 (define @t361 () (@list tptp.c_2Ebool_2EF @t360)) % 69.22/69.44 (define @t362 () (@var "BOUND_VARIABLE_8056" $$unsorted)) % 69.22/69.44 (define @t363 () (= (tptp.p (tptp.ap @t53 @t362)) (or @t21 (tptp.p @t362)))) % 69.22/69.44 (define @t364 () (not (tptp.mem @t362 tptp.bool))) % 69.22/69.44 (define @t365 () (or @t301 @t364 @t363)) % 69.22/69.44 (define @t366 () (or @t364 @t363)) % 69.22/69.44 (define @t367 () (or @t301 @t366)) % 69.22/69.44 (define @t368 () (@list @t18 @t362)) % 69.22/69.44 (define @t369 () (forall @t368 @t367)) % 69.22/69.44 (define @t370 () (@list @t362)) % 69.22/69.44 (define @t371 () (forall @t370 @t367)) % 69.22/69.44 (define @t372 () (forall @t370 @t366)) % 69.22/69.44 (define @t373 () (or @t301 @t372)) % 69.22/69.44 (define @t374 () (forall @t25 (or @t313 @t54))) % 69.22/69.44 (define @t375 () (tptp.p (tptp.ap @t358 tptp.c_2Ebool_2EF))) % 69.22/69.44 (define @t376 () (or @t49 @t49)) % 69.22/69.44 (define @t377 () (= @t375 @t376)) % 69.22/69.44 (define @t378 () (not @t48)) % 69.22/69.44 (define @t379 () (or @t378 @t378 @t377)) % 69.22/69.44 (define @t380 () (forall @t368 @t365)) % 69.22/69.44 (define @t381 () (= @t49 @t375)) % 69.22/69.44 (define @t382 () (or @t378 @t378 @t381)) % 69.22/69.44 (define @t383 () (not @t375)) % 69.22/69.44 (define @t384 () (@list true false)) % 69.22/69.44 (define @t385 () (or @t378 @t375)) % 69.22/69.44 (define @t386 () (not @t385)) % 69.22/69.44 (define @t387 () (not @t359)) % 69.22/69.44 (define @t388 () (tptp.p (tptp.ap @t358 @t360))) % 69.22/69.44 (define @t389 () (tptp.mem @t360 tptp.bool)) % 69.22/69.44 (define @t390 () (not @t389)) % 69.22/69.44 (define @t391 () (or @t390 @t388)) % 69.22/69.44 (define @t392 () (not @t391)) % 69.22/69.44 (define @t393 () (@list @t391)) % 69.22/69.44 (define @t394 () (tptp.p @t360)) % 69.22/69.44 (define @t395 () (or @t49 @t394)) % 69.22/69.44 (define @t396 () (= @t388 @t395)) % 69.22/69.44 (define @t397 () (or @t378 @t390 @t396)) % 69.22/69.44 (define @t398 () (not @t395)) % 69.22/69.44 (define @t399 () (not @t394)) % 69.22/69.44 (define @t400 () (= @t50 @t394)) % 69.22/69.44 (define @t401 () (not @t400)) % 69.22/69.44 (define @t402 () (not @t50)) % 69.22/69.44 (define @t403 () (@list true true)) % 69.22/69.44 (define @t404 () (= tptp.c_2Ebool_2EF @t360)) % 69.22/69.44 (define @t405 () (or @t378 @t390 @t400 @t404)) % 69.22/69.44 (define @t406 () (= @t198 (tptp.ap (tptp.ap @t290 @t197) @t198))) % 69.22/69.44 (define @t407 () (= @t197 (tptp.ap (tptp.ap @t291 @t197) @t198))) % 69.22/69.44 (define @t408 () (and @t407 @t406)) % 69.22/69.44 (define @t409 () (or @t294 @t237 @t239 @t408)) % 69.22/69.44 (define @t410 () (not @t408)) % 69.22/69.44 (define @t411 () (@list @t408)) % 69.22/69.44 (define @t412 () (not @t235)) % 69.22/69.44 (define @t413 () (= @t38 @t412)) % 69.22/69.44 (define @t414 () (tptp.mem @t234 tptp.bool)) % 69.22/69.44 (define @t415 () (not @t414)) % 69.22/69.44 (define @t416 () (or @t415 @t355 (= @t412 @t38) (= @t234 tptp.c_2Ebool_2ET))) % 69.22/69.44 (define @t417 () (forall @t306 (or @t301 @t300 (= @t58 @t299) @t298))) % 69.22/69.44 (define @t418 () (= tptp.c_2Ebool_2ET @t234)) % 69.22/69.44 (define @t419 () (or @t415 @t355 @t413 @t418)) % 69.22/69.44 (define @t420 () (@list @t417)) % 69.22/69.44 (define @t421 () (tptp.mem @t231 @t46)) % 69.22/69.44 (define @t422 () (not @t47)) % 69.22/69.44 (define @t423 () (or @t422 @t239 @t421)) % 69.22/69.44 (define @t424 () (tptp.mem @t232 tptp.ty_2Eextreal_2Eextreal)) % 69.22/69.44 (define @t425 () (not @t421)) % 69.22/69.44 (define @t426 () (or @t425 @t237 @t424)) % 69.22/69.44 (define @t427 () (tptp.mem @t233 @t40)) % 69.22/69.44 (define @t428 () (not @t424)) % 69.22/69.44 (define @t429 () (or @t348 @t428 @t427)) % 69.22/69.44 (define @t430 () (not @t427)) % 69.22/69.44 (define @t431 () (or @t430 @t241 @t414)) % 69.22/69.44 (define @t432 () (not @t229)) % 69.22/69.44 (define @t433 () (= @t49 @t432)) % 69.22/69.44 (define @t434 () (not @t433)) % 69.22/69.44 (define @t435 () (tptp.mem @t228 tptp.bool)) % 69.22/69.44 (define @t436 () (not @t435)) % 69.22/69.44 (define @t437 () (or @t436 @t378 (= @t432 @t49) (= @t228 tptp.c_2Ebool_2EF))) % 69.22/69.44 (define @t438 () (= tptp.c_2Ebool_2EF @t228)) % 69.22/69.44 (define @t439 () (or @t436 @t378 @t433 @t438)) % 69.22/69.44 (define @t440 () (or @t351 @t241 @t435)) % 69.22/69.44 (define @t441 () (tptp.mem @t245 tptp.bool)) % 69.22/69.44 (define @t442 () (or @t351 @t237 @t441)) % 69.22/69.44 (define @t443 () (= @t245 @t360)) % 69.22/69.44 (define @t444 () (tptp.p @t245)) % 69.22/69.44 (define @t445 () (not @t444)) % 69.22/69.44 (define @t446 () (= @t445 @t394)) % 69.22/69.44 (define @t447 () (not @t441)) % 69.22/69.44 (define @t448 () (or @t447 @t390 @t446 @t443)) % 69.22/69.44 (define @t449 () (not @t446)) % 69.22/69.44 (define @t450 () (@var "BOUND_VARIABLE_8385" $$unsorted)) % 69.22/69.44 (define @t451 () (tptp.p (tptp.ap @t108 @t450))) % 69.22/69.44 (define @t452 () (@var "BOUND_VARIABLE_8383" $$unsorted)) % 69.22/69.44 (define @t453 () (not (tptp.p (tptp.ap (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t452) @t450)))) % 69.22/69.44 (define @t454 () (not (tptp.mem @t450 tptp.ty_2Eextreal_2Eextreal))) % 69.22/69.44 (define @t455 () (not (tptp.p (tptp.ap @t108 @t452)))) % 69.22/69.44 (define @t456 () (not (tptp.mem @t452 tptp.ty_2Eextreal_2Eextreal))) % 69.22/69.44 (define @t457 () (or @t456 @t455 @t454 @t453 @t451)) % 69.22/69.44 (define @t458 () (or @t177 @t457)) % 69.22/69.44 (define @t459 () (forall (@list @t74 @t452 @t450) @t458)) % 69.22/69.44 (define @t460 () (@list @t452 @t450)) % 69.22/69.44 (define @t461 () (forall @t460 @t458)) % 69.22/69.44 (define @t462 () (forall @t460 @t457)) % 69.22/69.44 (define @t463 () (@var "BOUND_VARIABLE_8363" $$unsorted)) % 69.22/69.44 (define @t464 () (or @t177 @t462)) % 69.22/69.44 (define @t465 () (tptp.p (tptp.ap @t108 @t463))) % 69.22/69.44 (define @t466 () (not (tptp.p (tptp.ap @t110 @t463)))) % 69.22/69.44 (define @t467 () (not (tptp.mem @t463 tptp.ty_2Eextreal_2Eextreal))) % 69.22/69.44 (define @t468 () (not @t113)) % 69.22/69.44 (define @t469 () (or @t186 @t468 @t467 @t466 @t465)) % 69.22/69.44 (define @t470 () (@list @t75 @t463)) % 69.22/69.44 (define @t471 () (forall @t470 @t469)) % 69.22/69.44 (define @t472 () (or @t467 @t466 @t465)) % 69.22/69.44 (define @t473 () (or @t186 @t468 @t472)) % 69.22/69.44 (define @t474 () (forall @t470 @t473)) % 69.22/69.44 (define @t475 () (@list @t463)) % 69.22/69.44 (define @t476 () (forall @t475 @t473)) % 69.22/69.44 (define @t477 () (forall @t475 @t472)) % 69.22/69.44 (define @t478 () (or @t186 @t468 @t477)) % 69.22/69.44 (define @t479 () (not @t111)) % 69.22/69.44 (define @t480 () (not @t116)) % 69.22/69.44 (define @t481 () (or @t480 @t479 @t109)) % 69.22/69.44 (define @t482 () (forall @t117 @t481)) % 69.22/69.44 (define @t483 () (or @t186 @t468 @t482)) % 69.22/69.44 (define @t484 () (or @t468 @t482)) % 69.22/69.44 (define @t485 () (or @t468 @t481)) % 69.22/69.44 (define @t486 () (or @t480 @t468 @t479 @t109)) % 69.22/69.44 (define @t487 () (or @t468 @t479 @t109)) % 69.22/69.44 (define @t488 () (not @t226)) % 69.22/69.44 (define @t489 () (or @t239 @t237 @t445 @t241 @t488 @t229)) % 69.22/69.44 (define @t490 () (= @t332 @t444)) % 69.22/69.44 (define @t491 () (= @t50 @t226)) % 69.22/69.44 (define @t492 () (not @t491)) % 69.22/69.44 (define @t493 () (= tptp.c_2Ebool_2ET @t245)) % 69.22/69.44 (define @t494 () (or @t355 @t447 @t490 @t493)) % 69.22/69.44 (define @t495 () (tptp.mem @t224 @t40)) % 69.22/69.44 (define @t496 () (or @t348 @t237 @t495)) % 69.22/69.44 (define @t497 () (tptp.mem @t225 tptp.bool)) % 69.22/69.44 (define @t498 () (not @t495)) % 69.22/69.44 (define @t499 () (or @t498 @t241 @t497)) % 69.22/69.44 (define @t500 () (= tptp.c_2Ebool_2EF @t225)) % 69.22/69.44 (define @t501 () (not @t497)) % 69.22/69.44 (define @t502 () (or @t378 @t501 @t491 @t500)) % 69.22/69.44 (define @t503 () (= @t6 @t33)) % 69.22/69.44 (define @t504 () (= tptp.c_2Ebool_2EF (tptp.ap (tptp.i tptp.bool) tptp.c_2Ebool_2EF))) % 69.22/69.44 (define @t505 () (or @t378 @t504)) % 69.22/69.44 (define @t506 () (not @t500)) % 69.22/69.44 (define @t507 () (not @t493)) % 69.22/69.44 (define @t508 () (not @t407)) % 69.22/69.44 (define @t509 () (not @t404)) % 69.22/69.44 (define @t510 () (not @t418)) % 69.22/69.44 (define @t511 () (not @t249)) % 69.22/69.44 (define @t512 () (not @t504)) % 69.22/69.44 (define @t513 () (not @t443)) % 69.22/69.44 (define @t514 () (= tptp.c_2Ebool_2ET @t225)) % 69.22/69.44 (define @t515 () (= false true)) % 69.22/69.44 (define @t516 () (and @t504 @t500 @t514 @t493 @t404 @t513)) % 69.22/69.44 (define @t517 () (not @t406)) % 69.22/69.44 (define @t518 () (not @t353)) % 69.22/69.44 (define @t519 () (not @t258)) % 69.22/69.44 (define @t520 () (not @t292)) % 69.22/69.44 (define @t521 () (not @t438)) % 69.22/69.44 (define @t522 () (= true false)) % 69.22/69.44 (define @t523 () (tptp.ap tptp.c_2Eextreal_2Eextreal__le @t257)) % 69.22/69.44 (define @t524 () (and @t406 @t443 @t258 @t404 @t292 @t249 @t353 @t438 @t418 @t50 @t38)) % 69.22/69.44 (define @t525 () (tptp.p (tptp.ap @t224 @t198))) % 69.22/69.44 (define @t526 () (not @t525)) % 69.22/69.44 (define @t527 () (or @t237 @t239 @t526 @t241 @t432 @t226)) % 69.22/69.44 (define @t528 () (or @t239 @t237 @t444 @t525)) % 69.22/69.44 (define @t529 () (and @t50 @t404 @t443 @t444)) % 69.22/69.44 (define @t530 () (not @t230)) % 69.22/69.44 (define @t531 () (@list @t230)) % 69.22/69.44 (define @t532 () (or @t501 @t355 (= @t488 @t38) (= @t225 tptp.c_2Ebool_2ET))) % 69.22/69.44 (define @t533 () (= @t38 @t488)) % 69.22/69.44 (define @t534 () (or @t501 @t355 @t533 @t514)) % 69.22/69.44 (define @t535 () (not @t533)) % 69.22/69.44 (define @t536 () (not @t514)) % 69.22/69.44 (define @t537 () (not @t412)) % 69.22/69.44 (define @t538 () (and @t493 @t249 @t407 @t514 @t412 @t38)) % 69.22/69.44 (define @t539 () (tptp.ap @t523 @t223)) % 69.22/69.44 (define @t540 () (and @t406 @t443 @t258 @t404 @t249 @t353 @t292 @t412 @t229)) % 69.22/69.44 (assume @p1 (tptp.ne tptp.bool)) % 69.22/69.44 (assume @p2 (tptp.ne tptp.ind)) % 69.22/69.44 (assume @p3 (forall @t5 (=> @t4 (forall (@list @t1) (=> (tptp.ne @t1) (tptp.ne @t3)))))) % 69.22/69.44 (assume @p4 @t16) % 69.22/69.44 (assume @p5 @t30) % 69.22/69.44 (assume @p6 (forall @t15 (=> @t13 (forall (@list @t31) (=> (tptp.mem @t31 @t3) (=> (forall @t11 (=> @t10 (= @t8 (tptp.ap @t31 @t6)))) (= @t7 @t31))))))) % 69.22/69.44 (assume @p7 (forall (@list @t2 @t32 @t6) (=> @t10 (= (tptp.ap (tptp.k @t2 @t32) @t6) @t32)))) % 69.22/69.44 (assume @p8 @t36) % 69.22/69.44 (assume @p9 @t37) % 69.22/69.44 (assume @p10 @t38) % 69.22/69.44 (assume @p11 @t39) % 69.22/69.44 (assume @p12 @t41) % 69.22/69.44 (assume @p13 (forall @t45 (=> @t44 (tptp.mem @t43 (tptp.arr tptp.bool (tptp.arr @t42 (tptp.arr @t42 @t42))))))) % 69.22/69.44 (assume @p14 @t47) % 69.22/69.44 (assume @p15 @t48) % 69.22/69.44 (assume @p16 @t50) % 69.22/69.44 (assume @p17 (tptp.mem tptp.c_2Emin_2E_3D_3D_3E @t52)) % 69.22/69.44 (assume @p18 (forall @t29 (=> @t27 (forall @t25 (=> @t24 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E @t18) @t17)) (=> @t21 @t20))))))) % 69.22/69.44 (assume @p19 (tptp.mem tptp.c_2Ebool_2E_5C_2F @t52)) % 69.22/69.44 (assume @p20 @t57) % 69.22/69.44 (assume @p21 (tptp.mem tptp.c_2Ebool_2E_2F_5C @t52)) % 69.22/69.44 (assume @p22 (forall @t29 (=> @t27 (forall @t25 (=> @t24 (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C @t18) @t17)) (and @t21 @t20))))))) % 69.22/69.44 (assume @p23 (tptp.mem tptp.c_2Ebool_2E_7E @t51)) % 69.22/69.44 (assume @p24 (forall @t29 (=> @t27 (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E @t18)) @t58)))) % 69.22/69.44 (assume @p25 (forall @t45 (=> @t44 (tptp.mem (tptp.c_2Emin_2E_3D @t42) (tptp.arr @t42 @t59))))) % 69.22/69.44 (assume @p26 (forall @t5 (=> @t4 (forall @t11 (=> @t10 (forall (@list @t32) (=> (tptp.mem @t32 @t2) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t2) @t6) @t32)) (= @t6 @t32))))))))) % 69.22/69.44 (assume @p27 (forall @t45 (=> @t44 (tptp.mem (tptp.c_2Ebool_2E_21 @t42) (tptp.arr @t59 tptp.bool))))) % 69.22/69.44 (assume @p28 (forall @t5 (=> @t4 (forall @t29 (=> (tptp.mem @t18 (tptp.arr @t2 tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t2) @t18)) (forall @t11 (=> @t10 (tptp.p (tptp.ap @t18 @t6)))))))))) % 69.22/69.44 (assume @p29 true) % 69.22/69.44 (assume @p30 (forall @t65 (=> (tptp.mem @t62 tptp.bool) (forall @t64 (=> (tptp.mem @t60 tptp.bool) (=> (=> @t63 @t61) (=> (=> @t61 @t63) (= @t63 @t61)))))))) % 69.22/69.44 (assume @p31 (forall @t70 (=> @t69 @t68))) % 69.22/69.44 (assume @p32 (forall @t70 (=> @t69 (or @t67 @t71)))) % 69.22/69.44 (assume @p33 (forall @t70 (=> @t69 (=> @t72 @t71)))) % 69.22/69.44 (assume @p34 (forall @t70 (=> @t69 (=> @t71 @t72)))) % 69.22/69.44 (assume @p35 (forall @t70 (=> @t69 (and (= (=> true @t67) @t67) (= (=> @t67 true) true) (= @t68 true) (= (=> @t67 @t67) true) (= @t72 @t71))))) % 69.22/69.44 (assume @p36 (and @t73 (= (not true) false) (= (not false) true))) % 69.22/69.44 (assume @p37 (forall @t45 (=> @t44 (forall @t77 (=> (tptp.mem @t74 @t42) (forall @t76 (=> (tptp.mem @t75 @t42) (= (= @t74 @t75) (= @t75 @t74))))))))) % 69.22/69.44 (assume @p38 (forall @t70 (=> @t69 (and (= (= true @t67) @t67) (= (= @t67 true) @t67) (= (= false @t67) @t71) (= (= @t67 false) @t71))))) % 69.22/69.44 (assume @p39 @t92) % 69.22/69.44 (assume @p40 (forall @t102 (=> @t101 (forall @t100 (=> @t99 (forall (@list @t93) (=> (tptp.mem @t93 tptp.bool) (= @t98 @t98)))))))) % 69.22/69.44 (assume @p41 (forall @t102 (=> @t101 (forall @t100 (=> @t99 (= @t103 (or @t95 @t97))))))) % 69.22/69.44 (assume @p42 (forall @t102 (=> @t101 (forall @t100 (=> @t99 (and (= (not (and @t97 @t95)) (or @t105 @t104)) (= @t106 (and @t105 @t104)))))))) % 69.22/69.44 (assume @p43 @t124) % 69.22/69.44 (assume @p44 @t129) % 69.22/69.44 (assume @p45 @t135) % 69.22/69.44 (assume @p46 @t73) % 69.22/69.44 (assume @p47 (forall @t102 (=> @t101 (=> @t97 @t136)))) % 69.22/69.44 (assume @p48 (forall @t102 (=> @t101 (forall @t100 (=> @t99 (= (=> @t106 false) (=> @t138 @t137))))))) % 69.22/69.44 (assume @p49 (forall @t102 (=> @t101 (forall @t100 (=> @t99 (= (=> (not (or @t105 @t95)) false) (=> @t97 @t137))))))) % 69.22/69.44 (assume @p50 (forall @t102 (=> @t101 (=> @t136 (=> @t138 false))))) % 69.22/69.44 (assume @p51 (forall @t153 (=> @t152 (forall @t151 (=> @t150 (forall @t149 (=> @t148 (= (= @t140 (= @t143 @t146)) (and (or @t140 @t143 @t146) (or @t140 @t147 @t144) (or @t143 @t147 @t141) (or @t146 @t144 @t141)))))))))) % 69.22/69.44 (assume @p52 (forall @t153 (=> @t152 (forall @t151 (=> @t150 (forall @t149 (=> @t148 (= (= @t140 (and @t143 @t146)) (and (or @t140 @t144 @t147) (or @t143 @t141) (or @t146 @t141)))))))))) % 69.22/69.44 (assume @p53 (forall @t153 (=> @t152 (forall @t151 (=> @t150 (forall @t149 (=> @t148 (= (= @t140 (or @t143 @t146)) (and (or @t140 @t144) @t154 (or @t143 @t146 @t141)))))))))) % 69.22/69.44 (assume @p54 (forall @t153 (=> @t152 (forall @t151 (=> @t150 (forall @t149 (=> @t148 (= (= @t140 (=> @t143 @t146)) (and @t155 @t154 (or @t144 @t146 @t141)))))))))) % 69.22/69.44 (assume @p55 (forall @t153 (=> @t152 (forall @t151 (=> @t150 (= (= @t140 @t144) (and @t155 (or @t144 @t141)))))))) % 69.22/69.44 (assume @p56 @t173) % 69.22/69.44 (step @p57 :rule aci_norm :args ((= @t179 (or @t177 @t176 @t175)))) % 69.22/69.44 (step @p58 :rule cong :premises (@p57) :args (@t180)) % 69.22/69.44 (step @p59 :rule quant-merge-prenex :args ((= (forall @t77 @t182) @t180))) % 69.22/69.44 (step @p60 :rule alpha_equiv :args (@t183 (@list @t174) @t184)) % 69.22/69.44 (step @p61 :rule refl :args (@t177)) % 69.22/69.44 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t185)) % 69.22/69.44 (step @p63 :rule quant-miniscope-or :args ((= @t182 @t185))) % 69.22/69.44 (step @p64 :rule trans :premises (@p63 @p62)) % 69.22/69.44 (step @p65 :rule symm :premises (@p64)) % 69.22/69.44 (step @p66 :rule cong :premises (@p65) :args ((forall @t77 (or @t177 @t187)))) % 69.22/69.44 (step @p67 :rule trans :premises (@p66 @p59)) % 69.22/69.44 (step @p68 :rule trans :premises (@p67 @p58)) % 69.22/69.44 (step @p69 :rule bool-impl-elim :args (@t122 @t187)) % 69.22/69.44 (step @p70 :rule cong :premises (@p69) :args ((forall @t77 (=> @t122 @t187)))) % 69.22/69.44 (step @p71 :rule trans :premises (@p70 @p68)) % 69.22/69.44 (step @p72 :rule bool-impl-elim :args (@t119 @t132)) % 69.22/69.44 (step @p73 :rule cong :premises (@p72) :args (@t133)) % 69.22/69.44 (step @p74 :rule refl :args (@t122)) % 69.22/69.44 (step @p75 :rule cong :premises (@p74 @p73) :args (@t134)) % 69.22/69.44 (step @p76 :rule cong :premises (@p75) :args (@t135)) % 69.22/69.44 (step @p77 :rule trans :premises (@p76 @p71)) % 69.22/69.44 (step @p78 :rule eq_resolve :premises (@p45 @p77)) % 69.22/69.44 (step @p79 :rule instantiate :premises (@p78) :args (@t199)) % 69.22/69.44 (step @p80 :rule aci_norm :args ((= @t201 @t194))) % 69.22/69.44 (step @p81 :rule cong :premises (@p80) :args (@t202)) % 69.22/69.44 (step @p82 :rule quant-merge-prenex :args ((= (forall @t171 @t204) @t202))) % 69.22/69.44 (step @p83 :rule alpha_equiv :args (@t205 (@list @t189 @t188) (@list @t158 @t206))) % 69.22/69.44 (step @p84 :rule refl :args (@t193)) % 69.22/69.44 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t207)) % 69.22/69.44 (step @p86 :rule quant-miniscope-or :args ((= @t204 @t207))) % 69.22/69.44 (step @p87 :rule trans :premises (@p86 @p85)) % 69.22/69.44 (step @p88 :rule symm :premises (@p87)) % 69.22/69.44 (step @p89 :rule cong :premises (@p88) :args ((forall @t171 (or @t193 @t213)))) % 69.22/69.44 (step @p90 :rule trans :premises (@p89 @p82)) % 69.22/69.44 (step @p91 :rule trans :premises (@p90 @p81)) % 69.22/69.44 (step @p92 :rule bool-impl-elim :args (@t169 @t213)) % 69.22/69.44 (step @p93 :rule cong :premises (@p92) :args ((forall @t171 (=> @t169 @t213)))) % 69.22/69.44 (step @p94 :rule trans :premises (@p93 @p91)) % 69.22/69.44 (step @p95 :rule aci_norm :args ((= @t215 @t211))) % 69.22/69.44 (step @p96 :rule cong :premises (@p95) :args (@t216)) % 69.22/69.44 (step @p97 :rule quant-merge-prenex :args ((= (forall @t167 @t218) @t216))) % 69.22/69.44 (step @p98 :rule alpha_equiv :args (@t219 (@list @t206) (@list @t157))) % 69.22/69.44 (step @p99 :rule refl :args (@t210)) % 69.22/69.44 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t220)) % 69.22/69.44 (step @p101 :rule quant-miniscope-or :args ((= @t218 @t220))) % 69.22/69.44 (step @p102 :rule trans :premises (@p101 @p100)) % 69.22/69.44 (step @p103 :rule symm :premises (@p102)) % 69.22/69.44 (step @p104 :rule cong :premises (@p103) :args ((forall @t167 (or @t210 @t221)))) % 69.22/69.44 (step @p105 :rule trans :premises (@p104 @p97)) % 69.22/69.44 (step @p106 :rule trans :premises (@p105 @p96)) % 69.22/69.44 (step @p107 :rule bool-impl-elim :args (@t165 @t221)) % 69.22/69.44 (step @p108 :rule cong :premises (@p107) :args ((forall @t167 (=> @t165 @t221)))) % 69.22/69.44 (step @p109 :rule trans :premises (@p108 @p106)) % 69.22/69.44 (step @p110 :rule bool-impl-elim :args (@t162 @t161)) % 69.22/69.44 (step @p111 :rule cong :premises (@p110) :args (@t164)) % 69.22/69.44 (step @p112 :rule refl :args (@t165)) % 69.22/69.44 (step @p113 :rule cong :premises (@p112 @p111) :args (@t166)) % 69.22/69.44 (step @p114 :rule cong :premises (@p113) :args (@t168)) % 69.22/69.44 (step @p115 :rule trans :premises (@p114 @p109)) % 69.22/69.44 (step @p116 :rule refl :args (@t169)) % 69.22/69.44 (step @p117 :rule cong :premises (@p116 @p115) :args (@t170)) % 69.22/69.44 (step @p118 :rule cong :premises (@p117) :args (@t172)) % 69.22/69.44 (step @p119 :rule trans :premises (@p118 @p94)) % 69.22/69.44 (step @p120 :rule cong :premises (@p119) :args (@t173)) % 69.22/69.44 (step @p121 :rule eq_resolve :premises (@p56 @p120)) % 69.22/69.44 (step @p122 :rule skolemize :premises (@p121)) % 69.22/69.44 (step @p123 :rule bool-double-not-elim :args (@t222)) % 69.22/69.44 (step @p124 :rule refl :args (@t242)) % 69.22/69.44 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t242 (not @t237)))) % 69.22/69.44 (step @p126 :rule cnf_or_neg :args (@t242 2)) % 69.22/69.44 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 69.22/69.44 (step @p128 :rule reordering :premises (@p127) :args ((or @t222 @t242))) % 69.22/69.44 (step @p129 :rule chain_m_resolution :premises (@p128 @p122) :args (@t222 @t243 @t244)) % 69.22/69.44 (step @p130 :rule bool-double-not-elim :args (@t238)) % 69.22/69.44 (step @p131 :rule nary_cong :premises (@p124 @p130) :args ((or @t242 (not @t239)))) % 69.22/69.44 (step @p132 :rule cnf_or_neg :args (@t242 1)) % 69.22/69.44 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 69.22/69.44 (step @p134 :rule reordering :premises (@p133) :args ((or @t238 @t242))) % 69.22/69.44 (step @p135 :rule chain_m_resolution :premises (@p134 @p122) :args (@t238 @t243 @t244)) % 69.22/69.44 (step @p136 :rule cnf_or_pos :args (@t250)) % 69.22/69.44 (step @p137 :rule reordering :premises (@p136) :args ((or @t239 @t237 @t249 (not @t250)))) % 69.22/69.44 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p129 @p79) :args (@t249 @t251 (@list @t238 @t222 @t250))) % 69.22/69.44 (step @p139 :rule instantiate :premises (@p78) :args (@t252)) % 69.22/69.44 (step @p140 :rule cnf_or_pos :args (@t259)) % 69.22/69.44 (step @p141 :rule factoring :premises (@p140)) % 69.22/69.44 (step @p142 :rule reordering :premises (@p141) :args ((or @t239 @t258 (not @t259)))) % 69.22/69.44 (step @p143 :rule chain_m_resolution :premises (@p142 @p135 @p139) :args (@t258 @t260 (@list @t238 @t259))) % 69.22/69.44 (step @p144 :rule aci_norm :args ((= @t268 (or @t266 @t265 @t264 @t263)))) % 69.22/69.44 (step @p145 :rule cong :premises (@p144) :args (@t269)) % 69.22/69.44 (step @p146 :rule quant-merge-prenex :args ((= (forall @t45 @t271) @t269))) % 69.22/69.44 (step @p147 :rule alpha_equiv :args (@t272 (@list @t262 @t261) (@list @t62 @t273))) % 69.22/69.44 (step @p148 :rule refl :args (@t266)) % 69.22/69.44 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t274)) % 69.22/69.44 (step @p150 :rule quant-miniscope-or :args ((= @t271 @t274))) % 69.22/69.44 (step @p151 :rule trans :premises (@p150 @p149)) % 69.22/69.44 (step @p152 :rule symm :premises (@p151)) % 69.22/69.44 (step @p153 :rule cong :premises (@p152) :args ((forall @t45 (or @t266 @t280)))) % 69.22/69.44 (step 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(@p1044) :args (false)) % 69.22/69.44 (assume-push @p1045 @t50) % 69.22/69.44 (assume-push @p1046 @t444) % 69.22/69.44 (assume-push @p1047 @t443) % 69.22/69.44 (assume-push @p1048 @t404) % 69.22/69.44 (step @p790 :rule and_intro :premises (@p16 @p1048 @p1047 @p1046)) % 69.22/69.44 (step-pop @p1049 :rule scope :premises (@p790)) % 69.22/69.44 (step-pop @p1050 :rule scope :premises (@p1049)) % 69.22/69.44 (step-pop @p1051 :rule scope :premises (@p1050)) % 69.22/69.44 (step-pop @p1052 :rule scope :premises (@p1051)) % 69.22/69.44 (step @p791 :rule process_scope :premises (@p1052) :args (@t529)) % 69.22/69.44 (step @p796 :rule implies_elim :premises (@p791)) % 69.22/69.44 (step @p797 :rule resolution :premises (@p796 @p781) :args (true @t529)) % 69.22/69.44 (step @p798 :rule not_and :premises (@p797)) % 69.22/69.44 (step @p799 :rule eq_resolve :premises (@p798 @p769)) % 69.22/69.44 (step @p800 :rule chain_m_resolution :premises (@p799 @p400 @p16 @p767 @p766 @p764 @p129 @p135 @p572 @p570 @p569 @p15 @p763 @p761 @p129 @p135 @p445 @p558 @p16 @p760 @p759 @p450 @p448 @p426 @p9 @p412 @p10 @p410 @p409) :args (@t412 (@list false true false false false false false false false false false true false false false false true true true false false false false false true false true true) (@list @t404 @t49 @t443 @t444 @t528 @t222 @t238 @t500 @t502 @t497 @t48 @t525 @t527 @t222 @t238 @t240 @t491 @t49 @t226 @t229 @t418 @t414 @t419 @t37 @t413 @t38 @t230 @t236))) % 69.22/69.44 (step @p801 :rule cnf_equiv_neg1 :args (@t236)) % 69.22/69.44 (step @p802 :rule reordering :premises (@p801) :args ((or @t235 @t230 @t236))) % 69.22/69.44 (step @p803 :rule chain_m_resolution :premises (@p802 @p800 @p409) :args (@t230 @t403 (@list @t235 @t236))) % 69.22/69.44 (step @p804 :rule cnf_and_pos :args (@t230 0)) % 69.22/69.44 (step @p805 :rule reordering :premises (@p804) :args ((or @t229 @t530))) % 69.22/69.44 (step @p806 :rule chain_m_resolution :premises (@p805 @p803) :args (@t229 @t296 @t531)) % 69.22/69.44 (step @p807 :rule eq-symm :args (@t225 tptp.c_2Ebool_2ET)) % 69.22/69.44 (step @p808 :rule eq-symm :args (@t488 @t38)) % 69.22/69.44 (step @p809 :rule refl :args (@t501)) % 69.22/69.44 (step @p810 :rule nary_cong :premises (@p809 @p415 @p808 @p807) :args (@t532)) % 69.22/69.44 (step @p811 :rule cong :premises (@p418 @p810) :args ((=> @t417 @t532))) % 69.22/69.44 (assume-push @p1053 @t417) % 69.22/69.44 (step @p813 :rule instantiate :premises (@p243) :args ((@list @t225 tptp.c_2Ebool_2ET))) % 69.22/69.44 (step-pop @p1054 :rule scope :premises (@p813)) % 69.22/69.44 (step @p814 :rule process_scope :premises (@p1054) :args (@t532)) % 69.22/69.44 (step @p816 :rule eq_resolve :premises (@p814 @p811)) % 69.22/69.44 (step @p817 :rule implies_elim :premises (@p816)) % 69.22/69.44 (step @p818 :rule chain_m_resolution :premises (@p817 @p243) :args (@t534 @t296 @t420)) % 69.22/69.44 (step @p819 :rule cnf_and_pos :args (@t230 1)) % 69.22/69.44 (step @p820 :rule reordering :premises (@p819) :args ((or @t226 @t530))) % 69.22/69.44 (step @p821 :rule chain_m_resolution :premises (@p820 @p803) :args (@t226 @t296 @t531)) % 69.22/69.44 (step @p822 :rule cnf_equiv_pos1 :args (@t533)) % 69.22/69.44 (step @p823 :rule reordering :premises (@p822) :args ((or @t332 @t488 @t535))) % 69.22/69.44 (step @p824 :rule chain_m_resolution :premises (@p823 @p10 @p821) :args (@t535 @t260 (@list @t38 @t226))) % 69.22/69.44 (step @p825 :rule cnf_or_pos :args (@t534)) % 69.22/69.44 (step @p826 :rule reordering :premises (@p825) :args ((or @t355 @t501 @t533 @t514 (not @t534)))) % 69.22/69.44 (step @p827 :rule chain_m_resolution :premises (@p826 @p9 @p569 @p824 @p818) :args (@t514 @t357 (@list @t37 @t497 @t533 @t534))) % 69.22/69.44 (step @p828 :rule refl :args (@t536)) % 69.22/69.44 (step @p829 :rule bool-double-not-elim :args (@t235)) % 69.22/69.44 (step @p830 :rule nary_cong :premises (@p677 @p829 @p594 @p828 @p590 @p589) :args ((or @t332 @t537 @t511 @t536 @t508 @t507))) % 69.22/69.44 (assume-push @p1055 @t493) % 69.22/69.44 (assume-push @p1056 @t249) % 69.22/69.44 (assume-push @p1057 @t407) % 69.22/69.44 (assume-push @p1058 @t514) % 69.22/69.44 (assume-push @p1059 @t412) % 69.22/69.44 (assume-push @p1060 @t38) % 69.22/69.44 (step @p603 :rule evaluate :args (@t515)) % 69.22/69.44 (step @p714 :rule true_intro :premises (@p10)) % 69.22/69.44 (step @p837 :rule symm :premises (@p1058)) % 69.22/69.44 (step @p634 :rule refl :args (@t223)) % 69.22/69.44 (step @p635 :rule symm :premises (@p587)) % 69.22/69.44 (step @p636 :rule refl :args (@t198)) % 69.22/69.44 (step @p637 :rule refl :args (@t197)) % 69.22/69.44 (step @p838 :rule symm :premises (@p1055)) % 69.22/69.44 (step @p639 :rule refl :args (@t130)) % 69.22/69.44 (step @p839 :rule cong :premises (@p639 @p838) :args (@t246)) % 69.22/69.44 (step @p840 :rule cong :premises (@p839 @p637) :args (@t247)) % 69.22/69.44 (step @p841 :rule cong :premises (@p840 @p636) :args (@t248)) % 69.22/69.44 (step @p842 :rule trans :premises (@p138 @p841 @p635)) % 69.22/69.44 (step @p644 :rule refl :args (tptp.c_2Eextreal_2Eextreal__le)) % 69.22/69.44 (step @p843 :rule cong :premises (@p644 @p842) :args (@t233)) % 69.22/69.44 (step @p844 :rule cong :premises (@p843 @p634) :args (@t234)) % 69.22/69.44 (step @p845 :rule trans :premises (@p844 @p837)) % 69.22/69.44 (step @p846 :rule cong :premises (@p845) :args (@t235)) % 69.22/69.44 (step @p847 :rule false_intro :premises (@p1059)) % 69.22/69.44 (step @p848 :rule symm :premises (@p847)) % 69.22/69.44 (step @p849 :rule trans :premises (@p848 @p846 @p714)) % 69.22/69.44 (step @p850 false :rule eq_resolve :premises (@p849 @p603)) % 69.22/69.44 (step-pop @p1061 :rule scope :premises (@p850)) % 69.22/69.44 (step-pop @p1062 :rule scope :premises (@p1061)) % 69.22/69.44 (step-pop @p1063 :rule scope :premises (@p1062)) % 69.22/69.44 (step-pop @p1064 :rule scope :premises (@p1063)) % 69.22/69.44 (step-pop @p1065 :rule scope :premises (@p1064)) % 69.22/69.44 (step-pop @p1066 :rule scope :premises (@p1065)) % 69.22/69.44 (step @p851 :rule process_scope :premises (@p1066) :args (false)) % 69.22/69.44 (assume-push @p1067 @t38) % 69.22/69.44 (assume-push @p1068 @t412) % 69.22/69.44 (assume-push @p1069 @t249) % 69.22/69.44 (assume-push @p1070 @t514) % 69.22/69.44 (assume-push @p1071 @t407) % 69.22/69.44 (assume-push @p1072 @t493) % 69.22/69.44 (step @p864 :rule and_intro :premises (@p1072 @p138 @p587 @p1070 @p1068 @p10)) % 69.22/69.44 (step-pop @p1073 :rule scope :premises (@p864)) % 69.22/69.44 (step-pop @p1074 :rule scope :premises (@p1073)) % 69.22/69.44 (step-pop @p1075 :rule scope :premises (@p1074)) % 69.22/69.44 (step-pop @p1076 :rule scope :premises (@p1075)) % 69.22/69.44 (step-pop @p1077 :rule scope :premises (@p1076)) % 69.22/69.44 (step-pop @p1078 :rule scope :premises (@p1077)) % 69.22/69.44 (step @p865 :rule process_scope :premises (@p1078) :args (@t538)) % 69.22/69.44 (step @p872 :rule implies_elim :premises (@p865)) % 69.22/69.44 (step @p873 :rule resolution :premises (@p872 @p851) :args (true @t538)) % 69.22/69.44 (step @p874 :rule not_and :premises (@p873)) % 69.22/69.44 (step @p875 :rule eq_resolve :premises (@p874 @p830)) % 69.22/69.44 (step @p876 :rule chain_m_resolution :premises (@p875 @p10 @p800 @p138 @p827 @p587) :args (@t507 (@list false true false false false) (@list @t38 @t235 @t249 @t514 @t407))) % 69.22/69.44 (step @p877 :rule chain_m_resolution :premises (@p561 @p9 @p480 @p876 @p559) :args (@t490 @t357 (@list @t37 @t441 @t493 @t494))) % 69.22/69.44 (step @p878 :rule chain_m_resolution :premises (@p552 @p10 @p877) :args (@t445 @t260 (@list @t38 @t490))) % 69.22/69.44 (step @p879 :rule chain_m_resolution :premises (@p488 @p878 @p389) :args (@t449 @t403 (@list @t444 @t394))) % 69.22/69.44 (step @p880 :rule chain_m_resolution :premises (@p482 @p378 @p480 @p879 @p476) :args (@t443 @t357 (@list @t389 @t441 @t446 @t448))) % 69.22/69.44 (step @p881 :rule refl :args (@t432)) % 69.22/69.44 (step @p882 :rule nary_cong :premises (@p881 @p829 @p594 @p675 @p674 @p673 @p672 @p591 @p671) :args ((or @t432 @t537 @t511 @t513 @t520 @t519 @t518 @t509 @t517))) % 69.22/69.44 (assume-push @p1079 @t406) % 69.22/69.44 (assume-push @p1080 @t443) % 69.22/69.44 (assume-push @p1081 @t258) % 69.22/69.44 (assume-push @p1082 @t404) % 69.22/69.44 (assume-push @p1083 @t249) % 69.22/69.44 (assume-push @p1084 @t353) % 69.22/69.44 (assume-push @p1085 @t292) % 69.22/69.44 (assume-push @p1086 @t412) % 69.22/69.44 (assume-push @p1087 @t229) % 69.22/69.44 (step @p603 :rule evaluate :args (@t515)) % 69.22/69.44 (step @p892 :rule true_intro :premises (@p1087)) % 69.22/69.44 (step @p634 :rule refl :args (@t223)) % 69.22/69.44 (step @p693 :rule symm :premises (@p199)) % 69.22/69.44 (step @p636 :rule refl :args (@t198)) % 69.22/69.44 (step @p694 :rule symm :premises (@p307)) % 69.22/69.44 (step @p639 :rule refl :args (@t130)) % 69.22/69.44 (step @p695 :rule cong :premises (@p639 @p694) :args (@t254)) % 69.22/69.44 (step @p696 :rule cong :premises (@p695 @p636) :args (@t255)) % 69.22/69.44 (step @p697 :rule cong :premises (@p696 @p636) :args (@t256)) % 69.22/69.44 (step @p698 :rule trans :premises (@p143 @p697 @p693)) % 69.22/69.44 (step @p644 :rule refl :args (tptp.c_2Eextreal_2Eextreal__le)) % 69.22/69.44 (step @p699 :rule cong :premises (@p644 @p698) :args (@t523)) % 69.22/69.44 (step @p893 :rule cong :premises (@p699 @p634) :args (@t539)) % 69.22/69.44 (step @p894 :rule cong :premises (@p893) :args ((tptp.p @t539))) % 69.22/69.44 (step @p895 :rule symm :premises (@p893)) % 69.22/69.44 (step @p700 :rule symm :premises (@p143)) % 69.22/69.44 (step @p701 :rule symm :premises (@p697)) % 69.22/69.44 (step @p702 :rule symm :premises (@p407)) % 69.22/69.44 (step @p637 :rule refl :args (@t197)) % 69.22/69.44 (step @p896 :rule symm :premises (@p1082)) % 69.22/69.44 (step @p897 :rule trans :premises (@p1080 @p896)) % 69.22/69.44 (step @p898 :rule cong :premises (@p639 @p897) :args (@t246)) % 69.22/69.44 (step @p899 :rule cong :premises (@p898 @p637) :args (@t247)) % 69.22/69.44 (step @p900 :rule cong :premises (@p899 @p636) :args (@t248)) % 69.22/69.44 (step @p901 :rule trans :premises (@p138 @p900 @p702 @p199 @p701 @p700)) % 69.22/69.44 (step @p902 :rule cong :premises (@p644 @p901) :args (@t233)) % 69.22/69.44 (step @p903 :rule trans :premises (@p902 @p699)) % 69.22/69.44 (step @p904 :rule cong :premises (@p903 @p634) :args (@t234)) % 69.22/69.44 (step @p905 :rule trans :premises (@p904 @p895)) % 69.22/69.44 (step @p906 :rule cong :premises (@p905) :args (@t235)) % 69.22/69.44 (step @p907 :rule false_intro :premises (@p1086)) % 69.22/69.44 (step @p908 :rule symm :premises (@p907)) % 69.22/69.44 (step @p909 :rule trans :premises (@p908 @p906 @p894 @p892)) % 69.22/69.44 (step @p910 false :rule eq_resolve :premises (@p909 @p603)) % 69.22/69.44 (step-pop @p1088 :rule scope :premises (@p910)) % 69.22/69.44 (step-pop @p1089 :rule scope :premises (@p1088)) % 69.22/69.44 (step-pop @p1090 :rule scope :premises (@p1089)) % 69.22/69.44 (step-pop @p1091 :rule scope :premises (@p1090)) % 69.22/69.44 (step-pop @p1092 :rule scope :premises (@p1091)) % 69.22/69.44 (step-pop @p1093 :rule scope :premises (@p1092)) % 69.22/69.44 (step-pop @p1094 :rule scope :premises (@p1093)) % 69.22/69.44 (step-pop @p1095 :rule scope :premises (@p1094)) % 69.22/69.44 (step-pop @p1096 :rule scope :premises (@p1095)) % 69.22/69.44 (step @p911 :rule process_scope :premises (@p1096) :args (false)) % 69.22/69.44 (assume-push @p1097 @t229) % 69.22/69.44 (assume-push @p1098 @t412) % 69.22/69.44 (assume-push @p1099 @t249) % 69.22/69.44 (assume-push @p1100 @t443) % 69.22/69.44 (assume-push @p1101 @t292) % 69.22/69.44 (assume-push @p1102 @t258) % 69.22/69.44 (assume-push @p1103 @t353) % 69.22/69.44 (assume-push @p1104 @t404) % 69.22/69.44 (assume-push @p1105 @t406) % 69.22/69.44 (step @p930 :rule and_intro :premises (@p407 @p1100 @p143 @p1104 @p138 @p307 @p199 @p1098 @p1097)) % 69.22/69.44 (step-pop @p1106 :rule scope :premises (@p930)) % 69.22/69.44 (step-pop @p1107 :rule scope :premises (@p1106)) % 69.22/69.44 (step-pop @p1108 :rule scope :premises (@p1107)) % 69.22/69.44 (step-pop @p1109 :rule scope :premises (@p1108)) % 69.22/69.44 (step-pop @p1110 :rule scope :premises (@p1109)) % 69.22/69.44 (step-pop @p1111 :rule scope :premises (@p1110)) % 69.22/69.44 (step-pop @p1112 :rule scope :premises (@p1111)) % 69.22/69.44 (step-pop @p1113 :rule scope :premises (@p1112)) % 69.22/69.44 (step-pop @p1114 :rule scope :premises (@p1113)) % 69.22/69.44 (step @p931 :rule process_scope :premises (@p1114) :args (@t540)) % 69.22/69.44 (step @p941 :rule implies_elim :premises (@p931)) % 69.22/69.44 (step @p942 :rule resolution :premises (@p941 @p911) :args (true @t540)) % 69.22/69.44 (step @p943 :rule not_and :premises (@p942)) % 69.22/69.44 (step @p944 :rule eq_resolve :premises (@p943 @p882)) % 69.22/69.44 (step @p945 :rule reordering :premises (@p944) :args ((or @t235 @t432 @t511 @t513 @t520 @t519 @t518 @t509 @t517))) % 69.22/69.44 (step @p946 false :rule chain_m_resolution :premises (@p945 @p880 @p806 @p800 @p407 @p400 @p307 @p199 @p143 @p138) :args (false (@list false false true false false false false false false) (@list @t443 @t229 @t235 @t406 @t404 @t353 @t292 @t258 @t249))) % 69.22/69.44 ) % 69.22/69.44 % SZS output end Proof % 69.22/69.44 % cvc5 exiting %------------------------------------------------------------------------------