%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET749+4 : TPTP v9.2.1. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:48:34 AM UTC 2026 % Result : Theorem 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET749+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 16:11:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.64 % SZS status Theorem % 0.46/0.64 % SZS output start Proof % 0.46/0.64 ( % 0.46/0.64 (declare-sort $$unsorted 0) % 0.46/0.64 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.empty_set $$unsorted) % 0.46/0.64 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (define @t1 () (@var "B" $$unsorted)) % 0.46/0.64 (define @t2 () (@var "X" $$unsorted)) % 0.46/0.64 (define @t3 () (tptp.member @t2 @t1)) % 0.46/0.64 (define @t4 () (@var "A" $$unsorted)) % 0.46/0.64 (define @t5 () (tptp.member @t2 @t4)) % 0.46/0.64 (define @t6 () (@list @t2)) % 0.46/0.64 (define @t7 () (tptp.subset @t4 @t1)) % 0.46/0.64 (define @t8 () (@list @t4 @t1)) % 0.46/0.64 (define @t9 () (@list @t2 @t4)) % 0.46/0.64 (define @t10 () (@list @t2 @t4 @t1)) % 0.46/0.64 (define @t11 () (@var "E" $$unsorted)) % 0.46/0.64 (define @t12 () (= @t2 @t4)) % 0.46/0.64 (define @t13 () (@var "Y" $$unsorted)) % 0.46/0.64 (define @t14 () (tptp.member @t2 @t13)) % 0.46/0.64 (define @t15 () (tptp.member @t13 @t4)) % 0.46/0.64 (define @t16 () (@list @t13)) % 0.46/0.64 (define @t17 () (@var "Y2" $$unsorted)) % 0.46/0.64 (define @t18 () (@var "Y1" $$unsorted)) % 0.46/0.64 (define @t19 () (= @t18 @t17)) % 0.46/0.64 (define @t20 () (@var "F" $$unsorted)) % 0.46/0.64 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 0.46/0.64 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 0.46/0.64 (define @t23 () (and @t22 @t21)) % 0.46/0.64 (define @t24 () (=> @t23 @t19)) % 0.46/0.64 (define @t25 () (tptp.member @t17 @t1)) % 0.46/0.64 (define @t26 () (tptp.member @t18 @t1)) % 0.46/0.64 (define @t27 () (and @t5 @t26 @t25)) % 0.46/0.64 (define @t28 () (@list @t2 @t18 @t17)) % 0.46/0.64 (define @t29 () (forall @t28 (=> @t27 @t24))) % 0.46/0.64 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 0.46/0.64 (define @t31 () (tptp.member @t13 @t1)) % 0.46/0.64 (define @t32 () (and @t31 @t30)) % 0.46/0.64 (define @t33 () (exists @t16 @t32)) % 0.46/0.64 (define @t34 () (=> @t5 @t33)) % 0.46/0.64 (define @t35 () (forall @t6 @t34)) % 0.46/0.64 (define @t36 () (and @t35 @t29)) % 0.46/0.64 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 0.46/0.64 (define @t38 () (= @t37 @t36)) % 0.46/0.64 (define @t39 () (@list @t20 @t4 @t1)) % 0.46/0.64 (define @t40 () (forall @t39 @t38)) % 0.46/0.64 (define @t41 () (@var "Z" $$unsorted)) % 0.46/0.64 (define @t42 () (@var "G" $$unsorted)) % 0.46/0.64 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 0.46/0.64 (define @t44 () (and @t31 @t30 @t43)) % 0.46/0.64 (define @t45 () (exists @t16 @t44)) % 0.46/0.64 (define @t46 () (@var "H" $$unsorted)) % 0.46/0.64 (define @t47 () (@var "C" $$unsorted)) % 0.46/0.64 (define @t48 () (tptp.member @t41 @t47)) % 0.46/0.64 (define @t49 () (and @t5 @t48)) % 0.46/0.64 (define @t50 () (tptp.compose_function @t42 @t20 @t4 @t1 @t47)) % 0.46/0.64 (define @t51 () (tptp.apply @t50 @t2 @t41)) % 0.46/0.64 (define @t52 () (=> @t49 (= @t51 @t45))) % 0.46/0.64 (define @t53 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 0.46/0.64 (define @t54 () (forall @t53 @t52)) % 0.46/0.64 (define @t55 () (@var "X2" $$unsorted)) % 0.46/0.64 (define @t56 () (@var "X1" $$unsorted)) % 0.46/0.64 (define @t57 () (tptp.member @t55 @t4)) % 0.46/0.64 (define @t58 () (tptp.member @t56 @t4)) % 0.46/0.64 (define @t59 () (tptp.injective @t20 @t4 @t1)) % 0.46/0.64 (define @t60 () (tptp.surjective @t20 @t4 @t1)) % 0.46/0.64 (define @t61 () (tptp.one_to_one @t20 @t4 @t1)) % 0.46/0.64 (define @t62 () (and @t5 @t31)) % 0.46/0.64 (define @t63 () (exists @t6 (and @t5 @t30))) % 0.46/0.64 (define @t64 () (@var "S" $$unsorted)) % 0.46/0.64 (define @t65 () (tptp.apply @t64 @t18 @t17)) % 0.46/0.64 (define @t66 () (tptp.apply @t20 @t55 @t17)) % 0.46/0.64 (define @t67 () (tptp.apply @t20 @t56 @t18)) % 0.46/0.64 (define @t68 () (@var "R" $$unsorted)) % 0.46/0.64 (define @t69 () (tptp.apply @t68 @t56 @t55)) % 0.46/0.64 (define @t70 () (and @t58 @t26 @t57 @t25 @t69 @t67 @t66)) % 0.46/0.64 (define @t71 () (@list @t56 @t18 @t55 @t17)) % 0.46/0.64 (define @t72 () (forall @t71 (=> @t70 @t65))) % 0.46/0.64 (define @t73 () (tptp.increasing @t20 @t4 @t68 @t1 @t64)) % 0.46/0.64 (define @t74 () (= @t73 @t72)) % 0.46/0.64 (define @t75 () (@list @t20 @t4 @t68 @t1 @t64)) % 0.46/0.64 (define @t76 () (forall @t75 @t74)) % 0.46/0.64 (define @t77 () (tptp.apply @t64 @t17 @t18)) % 0.46/0.64 (define @t78 () (forall @t71 (=> @t70 @t77))) % 0.46/0.64 (define @t79 () (tptp.decreasing @t20 @t4 @t68 @t1 @t64)) % 0.46/0.64 (define @t80 () (= @t79 @t78)) % 0.46/0.64 (define @t81 () (forall @t75 @t80)) % 0.46/0.64 (define @t82 () (@var "T" $$unsorted)) % 0.46/0.64 (define @t83 () (tptp.increasing @t50 @t4 @t68 @t47 @t82)) % 0.46/0.64 (define @t84 () (tptp.decreasing @t42 @t1 @t64 @t47 @t82)) % 0.46/0.64 (define @t85 () (tptp.maps @t42 @t1 @t47)) % 0.46/0.64 (define @t86 () (and @t37 @t85 @t79 @t84)) % 0.46/0.64 (define @t87 () (@list @t20 @t42 @t4 @t1 @t47 @t68 @t64 @t82)) % 0.46/0.64 (define @t88 () (forall @t87 (=> @t86 @t83))) % 0.46/0.64 (define @t89 () (not @t88)) % 0.46/0.64 (define @t90 () (not @t66)) % 0.46/0.64 (define @t91 () (not @t67)) % 0.46/0.64 (define @t92 () (not @t69)) % 0.46/0.64 (define @t93 () (not @t25)) % 0.46/0.64 (define @t94 () (not @t57)) % 0.46/0.64 (define @t95 () (not @t26)) % 0.46/0.64 (define @t96 () (not @t58)) % 0.46/0.64 (define @t97 () (or @t96 @t95 @t94 @t93 @t92 @t91 @t90)) % 0.46/0.64 (define @t98 () (not @t70)) % 0.46/0.64 (define @t99 () (not @t84)) % 0.46/0.64 (define @t100 () (not @t79)) % 0.46/0.64 (define @t101 () (not @t85)) % 0.46/0.64 (define @t102 () (not @t37)) % 0.46/0.64 (define @t103 () (or @t102 @t101 @t100 @t99 @t83)) % 0.46/0.64 (define @t104 () (forall @t87 @t103)) % 0.46/0.64 (define @t105 () (@quantifiers_skolemize @t104 7)) % 0.46/0.64 (define @t106 () (@quantifiers_skolemize @t104 4)) % 0.46/0.64 (define @t107 () (@quantifiers_skolemize @t104 6)) % 0.46/0.64 (define @t108 () (@quantifiers_skolemize @t104 3)) % 0.46/0.64 (define @t109 () (@quantifiers_skolemize @t104 1)) % 0.46/0.64 (define @t110 () (or @t102 @t101 @t100 @t99)) % 0.46/0.64 (define @t111 () (tptp.decreasing @t109 @t108 @t107 @t106 @t105)) % 0.46/0.64 (define @t112 () (@quantifiers_skolemize @t104 5)) % 0.46/0.64 (define @t113 () (@quantifiers_skolemize @t104 2)) % 0.46/0.64 (define @t114 () (@quantifiers_skolemize @t104 0)) % 0.46/0.64 (define @t115 () (tptp.compose_function @t109 @t114 @t113 @t108 @t106)) % 0.46/0.64 (define @t116 () (tptp.increasing @t115 @t113 @t112 @t106 @t105)) % 0.46/0.64 (define @t117 () (not @t111)) % 0.46/0.64 (define @t118 () (tptp.decreasing @t114 @t113 @t112 @t108 @t107)) % 0.46/0.64 (define @t119 () (not @t118)) % 0.46/0.64 (define @t120 () (tptp.maps @t114 @t113 @t108)) % 0.46/0.64 (define @t121 () (not @t120)) % 0.46/0.64 (define @t122 () (or @t121 (not (tptp.maps @t109 @t108 @t106)) @t119 @t117 @t116)) % 0.46/0.64 (define @t123 () (@list true)) % 0.46/0.64 (define @t124 () (@list @t122)) % 0.46/0.64 (define @t125 () (not (tptp.member @t17 @t106))) % 0.46/0.64 (define @t126 () (not (tptp.member @t18 @t106))) % 0.46/0.64 (define @t127 () (forall @t71 (or (not (tptp.member @t56 @t108)) @t126 (not (tptp.member @t55 @t108)) @t125 (not (tptp.apply @t107 @t56 @t55)) (not (tptp.apply @t109 @t56 @t18)) (not (tptp.apply @t109 @t55 @t17)) (tptp.apply @t105 @t17 @t18)))) % 0.46/0.64 (define @t128 () (= @t111 @t127)) % 0.46/0.64 (define @t129 () (@list false false)) % 0.46/0.64 (define @t130 () (not (tptp.apply @t112 @t56 @t55))) % 0.46/0.64 (define @t131 () (not (tptp.member @t17 @t108))) % 0.46/0.64 (define @t132 () (not (tptp.member @t55 @t113))) % 0.46/0.64 (define @t133 () (not (tptp.member @t18 @t108))) % 0.46/0.64 (define @t134 () (not (tptp.member @t56 @t113))) % 0.46/0.64 (define @t135 () (forall @t71 (or @t134 @t133 @t132 @t131 @t130 (not (tptp.apply @t114 @t56 @t18)) (not (tptp.apply @t114 @t55 @t17)) (tptp.apply @t107 @t17 @t18)))) % 0.46/0.64 (define @t136 () (= @t118 @t135)) % 0.46/0.64 (define @t137 () (forall @t71 (or @t134 @t126 @t132 @t125 @t130 (not (tptp.apply @t115 @t56 @t18)) (not (tptp.apply @t115 @t55 @t17)) (tptp.apply @t105 @t18 @t17)))) % 0.46/0.64 (define @t138 () (@quantifiers_skolemize @t137 2)) % 0.46/0.64 (define @t139 () (not (tptp.apply @t114 @t138 @t13))) % 0.46/0.64 (define @t140 () (not (tptp.member @t13 @t108))) % 0.46/0.64 (define @t141 () (forall @t16 (or @t140 @t139))) % 0.46/0.64 (define @t142 () (@quantifiers_skolemize @t141 0)) % 0.46/0.64 (define @t143 () (@quantifiers_skolemize @t137 0)) % 0.46/0.64 (define @t144 () (not (tptp.apply @t114 @t143 @t13))) % 0.46/0.64 (define @t145 () (forall @t16 (or @t140 @t144))) % 0.46/0.64 (define @t146 () (@quantifiers_skolemize @t145 0)) % 0.46/0.64 (define @t147 () (not @t21)) % 0.46/0.64 (define @t148 () (not @t22)) % 0.46/0.64 (define @t149 () (not @t5)) % 0.46/0.64 (define @t150 () (or @t148 @t147 @t19)) % 0.46/0.64 (define @t151 () (or @t149 @t95 @t93)) % 0.46/0.64 (define @t152 () (not @t30)) % 0.46/0.64 (define @t153 () (not @t31)) % 0.46/0.64 (define @t154 () (not (forall @t16 (or @t153 @t152)))) % 0.46/0.64 (define @t155 () (forall @t16 (not @t32))) % 0.46/0.64 (define @t156 () (not @t155)) % 0.46/0.64 (define @t157 () (not (tptp.member @t2 @t113))) % 0.46/0.64 (define @t158 () (forall @t28 (or @t157 @t133 @t131 (not (tptp.apply @t114 @t2 @t18)) (not (tptp.apply @t114 @t2 @t17)) @t19))) % 0.46/0.64 (define @t159 () (forall @t6 (or @t157 (not (forall @t16 (or @t140 (not (tptp.apply @t114 @t2 @t13)))))))) % 0.46/0.64 (define @t160 () (and @t159 @t158)) % 0.46/0.64 (define @t161 () (= @t120 @t160)) % 0.46/0.64 (define @t162 () (not @t160)) % 0.46/0.64 (define @t163 () (@list false)) % 0.46/0.64 (define @t164 () (@list @t160)) % 0.46/0.64 (define @t165 () (= @t116 @t137)) % 0.46/0.64 (define @t166 () (not @t137)) % 0.46/0.64 (define @t167 () (@list true false)) % 0.46/0.64 (define @t168 () (tptp.member @t138 @t113)) % 0.46/0.64 (define @t169 () (@quantifiers_skolemize @t137 3)) % 0.46/0.64 (define @t170 () (@quantifiers_skolemize @t137 1)) % 0.46/0.64 (define @t171 () (tptp.apply @t105 @t170 @t169)) % 0.46/0.64 (define @t172 () (tptp.apply @t115 @t138 @t169)) % 0.46/0.64 (define @t173 () (not @t172)) % 0.46/0.64 (define @t174 () (tptp.apply @t115 @t143 @t170)) % 0.46/0.64 (define @t175 () (not @t174)) % 0.46/0.64 (define @t176 () (tptp.apply @t112 @t143 @t138)) % 0.46/0.64 (define @t177 () (not @t176)) % 0.46/0.64 (define @t178 () (tptp.member @t169 @t106)) % 0.46/0.64 (define @t179 () (not @t178)) % 0.46/0.64 (define @t180 () (not @t168)) % 0.46/0.64 (define @t181 () (tptp.member @t170 @t106)) % 0.46/0.64 (define @t182 () (not @t181)) % 0.46/0.64 (define @t183 () (tptp.member @t143 @t113)) % 0.46/0.64 (define @t184 () (not @t183)) % 0.46/0.64 (define @t185 () (or @t184 @t182 @t180 @t179 @t177 @t175 @t173 @t171)) % 0.46/0.64 (define @t186 () (@list @t185)) % 0.46/0.64 (define @t187 () (not @t141)) % 0.46/0.64 (define @t188 () (or @t180 @t187)) % 0.46/0.64 (define @t189 () (tptp.apply @t114 @t138 @t142)) % 0.46/0.64 (define @t190 () (not @t189)) % 0.46/0.64 (define @t191 () (tptp.member @t142 @t108)) % 0.46/0.64 (define @t192 () (not @t191)) % 0.46/0.64 (define @t193 () (or @t192 @t190)) % 0.46/0.64 (define @t194 () (@list @t193)) % 0.46/0.64 (define @t195 () (not @t145)) % 0.46/0.64 (define @t196 () (or @t184 @t195)) % 0.46/0.64 (define @t197 () (tptp.apply @t114 @t143 @t146)) % 0.46/0.64 (define @t198 () (not @t197)) % 0.46/0.64 (define @t199 () (tptp.member @t146 @t108)) % 0.46/0.64 (define @t200 () (not @t199)) % 0.46/0.64 (define @t201 () (or @t200 @t198)) % 0.46/0.64 (define @t202 () (@list @t201)) % 0.46/0.64 (define @t203 () (tptp.apply @t107 @t142 @t146)) % 0.46/0.64 (define @t204 () (or @t184 @t200 @t180 @t192 @t177 @t198 @t190 @t203)) % 0.46/0.64 (define @t205 () (not @t43)) % 0.46/0.64 (define @t206 () (or @t153 @t152 @t205)) % 0.46/0.64 (define @t207 () (not (forall @t16 @t206))) % 0.46/0.64 (define @t208 () (= @t51 @t207)) % 0.46/0.64 (define @t209 () (not @t48)) % 0.46/0.64 (define @t210 () (forall @t16 (not @t44))) % 0.46/0.64 (define @t211 () (not @t210)) % 0.46/0.64 (define @t212 () (forall @t16 (or @t140 @t139 (not (tptp.apply @t109 @t13 @t169))))) % 0.46/0.64 (define @t213 () (not @t212)) % 0.46/0.64 (define @t214 () (= @t172 @t213)) % 0.46/0.64 (define @t215 () (or @t180 @t179 @t214)) % 0.46/0.64 (define @t216 () (@list false false false)) % 0.46/0.64 (define @t217 () (@quantifiers_skolemize @t212 0)) % 0.46/0.64 (define @t218 () (tptp.apply @t109 @t217 @t169)) % 0.46/0.64 (define @t219 () (not @t218)) % 0.46/0.64 (define @t220 () (tptp.apply @t114 @t138 @t217)) % 0.46/0.64 (define @t221 () (not @t220)) % 0.46/0.64 (define @t222 () (tptp.member @t217 @t108)) % 0.46/0.64 (define @t223 () (not @t222)) % 0.46/0.64 (define @t224 () (or @t223 @t221 @t219)) % 0.46/0.64 (define @t225 () (@list @t224)) % 0.46/0.64 (define @t226 () (= @t142 @t217)) % 0.46/0.64 (define @t227 () (or @t180 @t192 @t223 @t190 @t221 @t226)) % 0.46/0.64 (define @t228 () (@list false false false false false false)) % 0.46/0.64 (define @t229 () (tptp.apply @t109 @t142 @t169)) % 0.46/0.64 (define @t230 () (forall @t16 (or @t140 @t144 (not (tptp.apply @t109 @t13 @t170))))) % 0.46/0.64 (define @t231 () (not @t230)) % 0.46/0.64 (define @t232 () (= @t174 @t231)) % 0.46/0.64 (define @t233 () (or @t184 @t182 @t232)) % 0.46/0.64 (define @t234 () (@quantifiers_skolemize @t230 0)) % 0.46/0.64 (define @t235 () (tptp.apply @t109 @t234 @t170)) % 0.46/0.64 (define @t236 () (not @t235)) % 0.46/0.64 (define @t237 () (tptp.apply @t114 @t143 @t234)) % 0.46/0.64 (define @t238 () (not @t237)) % 0.46/0.64 (define @t239 () (tptp.member @t234 @t108)) % 0.46/0.64 (define @t240 () (not @t239)) % 0.46/0.64 (define @t241 () (or @t240 @t238 @t236)) % 0.46/0.64 (define @t242 () (@list @t241)) % 0.46/0.64 (define @t243 () (= @t146 @t234)) % 0.46/0.64 (define @t244 () (or @t184 @t200 @t240 @t198 @t238 @t243)) % 0.46/0.64 (define @t245 () (tptp.apply @t109 @t146 @t170)) % 0.46/0.64 (define @t246 () (not @t245)) % 0.46/0.64 (define @t247 () (not @t229)) % 0.46/0.64 (define @t248 () (not @t203)) % 0.46/0.64 (define @t249 () (or @t192 @t179 @t200 @t182 @t248 @t247 @t246 @t171)) % 0.46/0.64 (define @t250 () (not @t249)) % 0.46/0.64 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.46/0.64 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.46/0.64 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.46/0.64 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.46/0.64 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.46/0.64 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.46/0.64 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.46/0.64 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.46/0.64 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.46/0.64 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.46/0.64 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.46/0.64 (assume @p12 @t40) % 0.46/0.64 (assume @p13 (forall (@list @t46 @t42 @t20 @t4 @t1 @t47) (= (tptp.compose_predicate @t46 @t42 @t20 @t4 @t1 @t47) (forall (@list @t2 @t41) (=> @t49 (= (tptp.apply @t46 @t2 @t41) @t45)))))) % 0.46/0.64 (assume @p14 @t54) % 0.46/0.64 (assume @p15 (forall (@list @t20 @t42 @t4 @t1) (= (tptp.equal_maps @t20 @t42 @t4 @t1) (forall @t28 (=> @t27 (=> (and @t22 (tptp.apply @t42 @t2 @t17)) @t19)))))) % 0.46/0.64 (assume @p16 (forall (@list @t20 @t4) (= (tptp.identity @t20 @t4) (forall @t6 (=> @t5 (tptp.apply @t20 @t2 @t2)))))) % 0.46/0.64 (assume @p17 (forall @t39 (= @t59 (forall (@list @t56 @t55 @t13) (=> (and @t58 @t57 @t31) (=> (and (tptp.apply @t20 @t56 @t13) (tptp.apply @t20 @t55 @t13)) (= @t56 @t55))))))) % 0.46/0.64 (assume @p18 (forall @t39 (= @t60 (forall @t16 (=> @t31 (exists (@list @t11) (and (tptp.member @t11 @t4) (tptp.apply @t20 @t11 @t13)))))))) % 0.46/0.64 (assume @p19 (forall @t39 (= @t61 (and @t59 @t60)))) % 0.46/0.64 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t62 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 0.46/0.64 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t62 (= @t30 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 0.46/0.64 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t63))) % 0.46/0.64 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t63)))) % 0.46/0.64 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 0.46/0.64 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 0.46/0.64 (assume @p26 @t76) % 0.46/0.64 (assume @p27 @t81) % 0.46/0.64 (assume @p28 (forall @t75 (= (tptp.isomorphism @t20 @t4 @t68 @t1 @t64) (and @t37 @t61 (forall @t71 (=> (and @t58 @t26 @t57 @t25 @t67 @t66) (= @t69 @t65))))))) % 0.46/0.64 (assume @p29 @t89) % 0.46/0.64 (assume @p30 true) % 0.46/0.64 (step @p31 :rule aci_norm :args ((= (or @t97 @t77) (or @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t77)))) % 0.46/0.64 (step @p32 :rule refl :args (@t77)) % 0.46/0.64 (step @p33 :rule aci_norm :args ((= (or @t96 (or @t95 (or @t94 (or @t93 (or @t92 (or @t91 @t90)))))) @t97))) % 0.46/0.64 (step @p34 :rule bool-and-de-morgan :args (@t67 @t66 true)) % 0.46/0.64 (step @p35 :rule refl :args (@t92)) % 0.46/0.64 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t92 (not (and @t67 @t66))))) % 0.46/0.64 (step @p37 :rule bool-and-de-morgan :args (@t69 @t67 (and @t66))) % 0.46/0.64 (step @p38 :rule trans :premises (@p37 @p36)) % 0.46/0.64 (step @p39 :rule refl :args (@t93)) % 0.46/0.64 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t93 (not (and @t69 @t67 @t66))))) % 0.46/0.64 (step @p41 :rule bool-and-de-morgan :args (@t25 @t69 (and @t67 @t66))) % 0.46/0.64 (step @p42 :rule trans :premises (@p41 @p40)) % 0.46/0.64 (step @p43 :rule refl :args (@t94)) % 0.46/0.64 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t94 (not (and @t25 @t69 @t67 @t66))))) % 0.46/0.64 (step @p45 :rule bool-and-de-morgan :args (@t57 @t25 (and @t69 @t67 @t66))) % 0.46/0.64 (step @p46 :rule trans :premises (@p45 @p44)) % 0.46/0.64 (step @p47 :rule refl :args (@t95)) % 0.46/0.64 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t95 (not (and @t57 @t25 @t69 @t67 @t66))))) % 0.46/0.64 (step @p49 :rule bool-and-de-morgan :args (@t26 @t57 (and @t25 @t69 @t67 @t66))) % 0.46/0.64 (step @p50 :rule trans :premises (@p49 @p48)) % 0.46/0.64 (step @p51 :rule refl :args (@t96)) % 0.46/0.64 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t96 (not (and @t26 @t57 @t25 @t69 @t67 @t66))))) % 0.46/0.64 (step @p53 :rule bool-and-de-morgan :args (@t58 @t26 (and @t57 @t25 @t69 @t67 @t66))) % 0.46/0.64 (step @p54 :rule trans :premises (@p53 @p52)) % 0.46/0.64 (step @p55 :rule trans :premises (@p54 @p33)) % 0.46/0.64 (step @p56 :rule nary_cong :premises (@p55 @p32) :args ((or @t98 @t77))) % 0.46/0.64 (step @p57 :rule trans :premises (@p56 @p31)) % 0.46/0.64 (step @p58 :rule bool-impl-elim :args (@t70 @t77)) % 0.46/0.64 (step @p59 :rule trans :premises (@p58 @p57)) % 0.46/0.64 (step @p60 :rule cong :premises (@p59) :args (@t78)) % 0.46/0.64 (step @p61 :rule refl :args (@t79)) % 0.46/0.64 (step @p62 :rule cong :premises (@p61 @p60) :args (@t80)) % 0.46/0.64 (step @p63 :rule cong :premises (@p62) :args (@t81)) % 0.46/0.64 (step @p64 :rule eq_resolve :premises (@p27 @p63)) % 0.46/0.64 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t109 @t108 @t107 @t106 @t105))) % 0.46/0.64 (step @p66 :rule aci_norm :args ((= (or @t110 @t83) @t103))) % 0.46/0.64 (step @p67 :rule refl :args (@t83)) % 0.46/0.64 (step @p68 :rule aci_norm :args ((= (or @t102 (or @t101 (or @t100 @t99))) @t110))) % 0.46/0.64 (step @p69 :rule bool-and-de-morgan :args (@t79 @t84 true)) % 0.46/0.64 (step @p70 :rule refl :args (@t101)) % 0.46/0.64 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t101 (not (and @t79 @t84))))) % 0.46/0.64 (step @p72 :rule bool-and-de-morgan :args (@t85 @t79 (and @t84))) % 0.46/0.64 (step @p73 :rule trans :premises (@p72 @p71)) % 0.46/0.64 (step @p74 :rule refl :args (@t102)) % 0.46/0.64 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t102 (not (and @t85 @t79 @t84))))) % 0.46/0.64 (step @p76 :rule bool-and-de-morgan :args (@t37 @t85 (and @t79 @t84))) % 0.46/0.64 (step @p77 :rule trans :premises (@p76 @p75)) % 0.46/0.64 (step @p78 :rule trans :premises (@p77 @p68)) % 0.46/0.64 (step @p79 :rule nary_cong :premises (@p78 @p67) :args ((or (not @t86) @t83))) % 0.46/0.64 (step @p80 :rule trans :premises (@p79 @p66)) % 0.46/0.64 (step @p81 :rule bool-impl-elim :args (@t86 @t83)) % 0.46/0.64 (step @p82 :rule trans :premises (@p81 @p80)) % 0.46/0.64 (step @p83 :rule cong :premises (@p82) :args (@t88)) % 0.46/0.64 (step @p84 :rule cong :premises (@p83) :args (@t89)) % 0.46/0.64 (step @p85 :rule eq_resolve :premises (@p29 @p84)) % 0.46/0.64 (step @p86 :rule skolemize :premises (@p85)) % 0.46/0.64 (step @p87 :rule bool-double-not-elim :args (@t111)) % 0.46/0.64 (step @p88 :rule refl :args (@t122)) % 0.46/0.64 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t122 (not @t117)))) % 0.46/0.64 (step @p90 :rule cnf_or_neg :args (@t122 3)) % 0.46/0.64 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.46/0.64 (step @p92 :rule reordering :premises (@p91) :args ((or @t111 @t122))) % 0.46/0.64 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t111 @t123 @t124)) % 0.46/0.64 (step @p94 :rule cnf_equiv_pos1 :args (@t128)) % 0.46/0.64 (step @p95 :rule reordering :premises (@p94) :args ((or @t117 @t127 (not @t128)))) % 0.46/0.64 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p65) :args (@t127 @t129 (@list @t111 @t128))) % 0.46/0.64 (step @p97 :rule instantiate :premises (@p64) :args ((@list @t114 @t113 @t112 @t108 @t107))) % 0.46/0.64 (step @p98 :rule bool-double-not-elim :args (@t118)) % 0.46/0.64 (step @p99 :rule nary_cong :premises (@p88 @p98) :args ((or @t122 (not @t119)))) % 0.46/0.64 (step @p100 :rule cnf_or_neg :args (@t122 2)) % 0.46/0.64 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.46/0.64 (step @p102 :rule reordering :premises (@p101) :args ((or @t118 @t122))) % 0.46/0.64 (step @p103 :rule chain_m_resolution :premises (@p102 @p86) :args (@t118 @t123 @t124)) % 0.46/0.64 (step @p104 :rule cnf_equiv_pos1 :args (@t136)) % 0.46/0.64 (step @p105 :rule reordering :premises (@p104) :args ((or @t119 @t135 (not @t136)))) % 0.46/0.64 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p97) :args (@t135 @t129 (@list @t118 @t136))) % 0.46/0.64 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t143 @t146 @t138 @t142))) % 0.46/0.64 (step @p108 :rule aci_norm :args ((= (or @t151 @t150) (or @t149 @t95 @t93 @t148 @t147 @t19)))) % 0.46/0.64 (step @p109 :rule aci_norm :args ((= (or (or @t148 @t147) @t19) @t150))) % 0.46/0.64 (step @p110 :rule refl :args (@t19)) % 0.46/0.64 (step @p111 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.46/0.64 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t23) @t19))) % 0.46/0.64 (step @p113 :rule trans :premises (@p112 @p109)) % 0.46/0.64 (step @p114 :rule bool-impl-elim :args (@t23 @t19)) % 0.46/0.64 (step @p115 :rule trans :premises (@p114 @p113)) % 0.46/0.64 (step @p116 :rule aci_norm :args ((= (or @t149 (or @t95 @t93)) @t151))) % 0.46/0.64 (step @p117 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.46/0.64 (step @p118 :rule refl :args (@t149)) % 0.46/0.64 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t149 (not (and @t26 @t25))))) % 0.46/0.64 (step @p120 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 0.46/0.64 (step @p121 :rule trans :premises (@p120 @p119)) % 0.46/0.64 (step @p122 :rule trans :premises (@p121 @p116)) % 0.46/0.64 (step @p123 :rule nary_cong :premises (@p122 @p115) :args ((or (not @t27) @t24))) % 0.46/0.64 (step @p124 :rule trans :premises (@p123 @p108)) % 0.46/0.64 (step @p125 :rule bool-impl-elim :args (@t27 @t24)) % 0.46/0.64 (step @p126 :rule trans :premises (@p125 @p124)) % 0.46/0.64 (step @p127 :rule cong :premises (@p126) :args (@t29)) % 0.46/0.64 (step @p128 :rule bool-impl-elim :args (@t5 @t154)) % 0.46/0.64 (step @p129 :rule cong :premises (@p128) :args ((forall @t6 (=> @t5 @t154)))) % 0.46/0.64 (step @p130 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.46/0.64 (step @p131 :rule cong :premises (@p130) :args (@t155)) % 0.46/0.64 (step @p132 :rule cong :premises (@p131) :args (@t156)) % 0.46/0.64 (step @p133 :rule exists-elim :args ((= @t33 @t156))) % 0.46/0.64 (step @p134 :rule trans :premises (@p133 @p132)) % 0.46/0.64 (step @p135 :rule refl :args (@t5)) % 0.46/0.64 (step @p136 :rule cong :premises (@p135 @p134) :args (@t34)) % 0.46/0.64 (step @p137 :rule cong :premises (@p136) :args (@t35)) % 0.46/0.64 (step @p138 :rule trans :premises (@p137 @p129)) % 0.46/0.64 (step @p139 :rule nary_cong :premises (@p138 @p127) :args (@t36)) % 0.46/0.64 (step @p140 :rule refl :args (@t37)) % 0.46/0.64 (step @p141 :rule cong :premises (@p140 @p139) :args (@t38)) % 0.46/0.64 (step @p142 :rule cong :premises (@p141) :args (@t40)) % 0.46/0.64 (step @p143 :rule eq_resolve :premises (@p12 @p142)) % 0.46/0.64 (step @p144 :rule instantiate :premises (@p143) :args ((@list @t114 @t113 @t108))) % 0.46/0.64 (step @p145 :rule bool-double-not-elim :args (@t120)) % 0.46/0.64 (step @p146 :rule nary_cong :premises (@p88 @p145) :args ((or @t122 (not @t121)))) % 0.46/0.64 (step @p147 :rule cnf_or_neg :args (@t122 0)) % 0.46/0.64 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 0.46/0.64 (step @p149 :rule reordering :premises (@p148) :args ((or @t120 @t122))) % 0.46/0.64 (step @p150 :rule chain_m_resolution :premises (@p149 @p86) :args (@t120 @t123 @t124)) % 0.46/0.64 (step @p151 :rule cnf_equiv_pos1 :args (@t161)) % 0.46/0.64 (step @p152 :rule reordering :premises (@p151) :args ((or @t121 @t160 (not @t161)))) % 0.46/0.64 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p144) :args (@t160 @t129 (@list @t120 @t161))) % 0.46/0.64 (step @p154 :rule cnf_and_pos :args (@t160 0)) % 0.46/0.64 (step @p155 :rule reordering :premises (@p154) :args ((or @t159 @t162))) % 0.46/0.64 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t159 @t163 @t164)) % 0.46/0.64 (step @p157 :rule instantiate :premises (@p156) :args ((@list @t138))) % 0.46/0.64 (step @p158 :rule aci_norm :args ((= (or @t97 @t65) (or @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t65)))) % 0.46/0.64 (step @p159 :rule refl :args (@t65)) % 0.46/0.64 (step @p160 :rule nary_cong :premises (@p55 @p159) :args ((or @t98 @t65))) % 0.46/0.64 (step @p161 :rule trans :premises (@p160 @p158)) % 0.46/0.64 (step @p162 :rule bool-impl-elim :args (@t70 @t65)) % 0.46/0.64 (step @p163 :rule trans :premises (@p162 @p161)) % 0.46/0.64 (step @p164 :rule cong :premises (@p163) :args (@t72)) % 0.46/0.64 (step @p165 :rule refl :args (@t73)) % 0.46/0.64 (step @p166 :rule cong :premises (@p165 @p164) :args (@t74)) % 0.46/0.64 (step @p167 :rule cong :premises (@p166) :args (@t76)) % 0.46/0.64 (step @p168 :rule eq_resolve :premises (@p26 @p167)) % 0.46/0.64 (step @p169 :rule instantiate :premises (@p168) :args ((@list @t115 @t113 @t112 @t106 @t105))) % 0.46/0.64 (step @p170 :rule cnf_or_neg :args (@t122 4)) % 0.46/0.64 (step 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