%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET718+4 : TPTP v9.2.1. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:48:30 AM UTC 2026 % Result : Theorem 0.51s 0.79s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET718+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 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 : 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 16:11:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.79 % SZS status Theorem % 0.51/0.79 % SZS output start Proof % 0.51/0.79 ( % 0.51/0.79 (declare-sort $$unsorted 0) % 0.51/0.79 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.empty_set $$unsorted) % 0.51/0.79 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.79 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.79 (define @t1 () (@var "B" $$unsorted)) % 0.51/0.79 (define @t2 () (@var "X" $$unsorted)) % 0.51/0.79 (define @t3 () (tptp.member @t2 @t1)) % 0.51/0.79 (define @t4 () (@var "A" $$unsorted)) % 0.51/0.79 (define @t5 () (tptp.member @t2 @t4)) % 0.51/0.79 (define @t6 () (@list @t2)) % 0.51/0.79 (define @t7 () (tptp.subset @t4 @t1)) % 0.51/0.79 (define @t8 () (@list @t4 @t1)) % 0.51/0.79 (define @t9 () (@list @t2 @t4)) % 0.51/0.79 (define @t10 () (@list @t2 @t4 @t1)) % 0.51/0.79 (define @t11 () (@var "E" $$unsorted)) % 0.51/0.79 (define @t12 () (= @t2 @t4)) % 0.51/0.79 (define @t13 () (@var "Y" $$unsorted)) % 0.51/0.79 (define @t14 () (tptp.member @t2 @t13)) % 0.51/0.79 (define @t15 () (tptp.member @t13 @t4)) % 0.51/0.79 (define @t16 () (@list @t13)) % 0.51/0.79 (define @t17 () (@var "Y2" $$unsorted)) % 0.51/0.79 (define @t18 () (@var "Y1" $$unsorted)) % 0.51/0.79 (define @t19 () (= @t18 @t17)) % 0.51/0.79 (define @t20 () (@var "F" $$unsorted)) % 0.51/0.79 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 0.51/0.79 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 0.51/0.79 (define @t23 () (and @t22 @t21)) % 0.51/0.79 (define @t24 () (=> @t23 @t19)) % 0.51/0.79 (define @t25 () (tptp.member @t17 @t1)) % 0.51/0.79 (define @t26 () (tptp.member @t18 @t1)) % 0.51/0.79 (define @t27 () (and @t5 @t26 @t25)) % 0.51/0.79 (define @t28 () (@list @t2 @t18 @t17)) % 0.51/0.79 (define @t29 () (forall @t28 (=> @t27 @t24))) % 0.51/0.79 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 0.51/0.79 (define @t31 () (tptp.member @t13 @t1)) % 0.51/0.79 (define @t32 () (and @t31 @t30)) % 0.51/0.79 (define @t33 () (exists @t16 @t32)) % 0.51/0.79 (define @t34 () (=> @t5 @t33)) % 0.51/0.79 (define @t35 () (forall @t6 @t34)) % 0.51/0.79 (define @t36 () (and @t35 @t29)) % 0.51/0.79 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 0.51/0.79 (define @t38 () (= @t37 @t36)) % 0.51/0.79 (define @t39 () (@list @t20 @t4 @t1)) % 0.51/0.79 (define @t40 () (forall @t39 @t38)) % 0.51/0.79 (define @t41 () (@var "Z" $$unsorted)) % 0.51/0.79 (define @t42 () (@var "G" $$unsorted)) % 0.51/0.79 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 0.51/0.79 (define @t44 () (and @t31 @t30 @t43)) % 0.51/0.79 (define @t45 () (exists @t16 @t44)) % 0.51/0.79 (define @t46 () (@var "H" $$unsorted)) % 0.51/0.79 (define @t47 () (@var "C" $$unsorted)) % 0.51/0.79 (define @t48 () (tptp.member @t41 @t47)) % 0.51/0.79 (define @t49 () (and @t5 @t48)) % 0.51/0.79 (define @t50 () (tptp.compose_function @t42 @t20 @t4 @t1 @t47)) % 0.51/0.79 (define @t51 () (tptp.apply @t50 @t2 @t41)) % 0.51/0.79 (define @t52 () (=> @t49 (= @t51 @t45))) % 0.51/0.79 (define @t53 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 0.51/0.79 (define @t54 () (forall @t53 @t52)) % 0.51/0.79 (define @t55 () (@var "X2" $$unsorted)) % 0.51/0.79 (define @t56 () (@var "X1" $$unsorted)) % 0.51/0.79 (define @t57 () (= @t56 @t55)) % 0.51/0.79 (define @t58 () (tptp.apply @t20 @t55 @t13)) % 0.51/0.79 (define @t59 () (tptp.apply @t20 @t56 @t13)) % 0.51/0.79 (define @t60 () (and @t59 @t58)) % 0.51/0.79 (define @t61 () (=> @t60 @t57)) % 0.51/0.79 (define @t62 () (tptp.member @t55 @t4)) % 0.51/0.79 (define @t63 () (tptp.member @t56 @t4)) % 0.51/0.79 (define @t64 () (and @t63 @t62 @t31)) % 0.51/0.79 (define @t65 () (@list @t56 @t55 @t13)) % 0.51/0.79 (define @t66 () (forall @t65 (=> @t64 @t61))) % 0.51/0.79 (define @t67 () (tptp.injective @t20 @t4 @t1)) % 0.51/0.79 (define @t68 () (= @t67 @t66)) % 0.51/0.79 (define @t69 () (forall @t39 @t68)) % 0.51/0.79 (define @t70 () (tptp.apply @t20 @t11 @t13)) % 0.51/0.79 (define @t71 () (tptp.member @t11 @t4)) % 0.51/0.79 (define @t72 () (and @t71 @t70)) % 0.51/0.79 (define @t73 () (@list @t11)) % 0.51/0.79 (define @t74 () (exists @t73 @t72)) % 0.51/0.79 (define @t75 () (=> @t31 @t74)) % 0.51/0.79 (define @t76 () (forall @t16 @t75)) % 0.51/0.79 (define @t77 () (tptp.surjective @t20 @t4 @t1)) % 0.51/0.79 (define @t78 () (= @t77 @t76)) % 0.51/0.79 (define @t79 () (forall @t39 @t78)) % 0.51/0.79 (define @t80 () (tptp.one_to_one @t20 @t4 @t1)) % 0.51/0.79 (define @t81 () (and @t5 @t31)) % 0.51/0.79 (define @t82 () (exists @t6 (and @t5 @t30))) % 0.51/0.79 (define @t83 () (@var "S" $$unsorted)) % 0.51/0.79 (define @t84 () (tptp.apply @t83 @t18 @t17)) % 0.51/0.79 (define @t85 () (tptp.apply @t20 @t55 @t17)) % 0.51/0.79 (define @t86 () (tptp.apply @t20 @t56 @t18)) % 0.51/0.79 (define @t87 () (@var "R" $$unsorted)) % 0.51/0.79 (define @t88 () (tptp.apply @t87 @t56 @t55)) % 0.51/0.79 (define @t89 () (and @t63 @t26 @t62 @t25 @t88 @t86 @t85)) % 0.51/0.79 (define @t90 () (@list @t56 @t18 @t55 @t17)) % 0.51/0.79 (define @t91 () (@list @t20 @t4 @t87 @t1 @t83)) % 0.51/0.79 (define @t92 () (tptp.one_to_one @t50 @t4 @t47)) % 0.51/0.79 (define @t93 () (tptp.one_to_one @t42 @t1 @t47)) % 0.51/0.79 (define @t94 () (tptp.maps @t42 @t1 @t47)) % 0.51/0.79 (define @t95 () (and @t37 @t94 @t80 @t93)) % 0.51/0.79 (define @t96 () (@list @t20 @t42 @t4 @t1 @t47)) % 0.51/0.79 (define @t97 () (forall @t96 (=> @t95 @t92))) % 0.51/0.79 (define @t98 () (not @t97)) % 0.51/0.79 (define @t99 () (not @t21)) % 0.51/0.79 (define @t100 () (not @t22)) % 0.51/0.79 (define @t101 () (not @t25)) % 0.51/0.79 (define @t102 () (not @t26)) % 0.51/0.79 (define @t103 () (not @t5)) % 0.51/0.79 (define @t104 () (or @t100 @t99 @t19)) % 0.51/0.79 (define @t105 () (or @t103 @t102 @t101)) % 0.51/0.79 (define @t106 () (not @t30)) % 0.51/0.79 (define @t107 () (not @t31)) % 0.51/0.79 (define @t108 () (not (forall @t16 (or @t107 @t106)))) % 0.51/0.79 (define @t109 () (forall @t16 (not @t32))) % 0.51/0.79 (define @t110 () (not @t109)) % 0.51/0.79 (define @t111 () (not @t93)) % 0.51/0.79 (define @t112 () (not @t80)) % 0.51/0.79 (define @t113 () (not @t94)) % 0.51/0.79 (define @t114 () (not @t37)) % 0.51/0.79 (define @t115 () (or @t114 @t113 @t112 @t111 @t92)) % 0.51/0.79 (define @t116 () (forall @t96 @t115)) % 0.51/0.79 (define @t117 () (@quantifiers_skolemize @t116 3)) % 0.51/0.79 (define @t118 () (@quantifiers_skolemize @t116 2)) % 0.51/0.79 (define @t119 () (@quantifiers_skolemize @t116 0)) % 0.51/0.79 (define @t120 () (@list @t119 @t118 @t117)) % 0.51/0.79 (define @t121 () (or @t114 @t113 @t112 @t111)) % 0.51/0.79 (define @t122 () (tptp.maps @t119 @t118 @t117)) % 0.51/0.79 (define @t123 () (@quantifiers_skolemize @t116 4)) % 0.51/0.79 (define @t124 () (@quantifiers_skolemize @t116 1)) % 0.51/0.79 (define @t125 () (tptp.compose_function @t124 @t119 @t118 @t117 @t123)) % 0.51/0.79 (define @t126 () (tptp.one_to_one @t125 @t118 @t123)) % 0.51/0.79 (define @t127 () (tptp.one_to_one @t124 @t117 @t123)) % 0.51/0.79 (define @t128 () (not @t127)) % 0.51/0.79 (define @t129 () (tptp.one_to_one @t119 @t118 @t117)) % 0.51/0.79 (define @t130 () (not @t129)) % 0.51/0.79 (define @t131 () (not @t122)) % 0.51/0.79 (define @t132 () (or @t131 (not (tptp.maps @t124 @t117 @t123)) @t130 @t128 @t126)) % 0.51/0.79 (define @t133 () (@list true)) % 0.51/0.79 (define @t134 () (@list @t132)) % 0.51/0.79 (define @t135 () (not (tptp.member @t2 @t118))) % 0.51/0.79 (define @t136 () (forall @t28 (or @t135 (not (tptp.member @t18 @t117)) (not (tptp.member @t17 @t117)) (not (tptp.apply @t119 @t2 @t18)) (not (tptp.apply @t119 @t2 @t17)) @t19))) % 0.51/0.79 (define @t137 () (not (tptp.member @t13 @t117))) % 0.51/0.79 (define @t138 () (forall @t6 (or @t135 (not (forall @t16 (or @t137 (not (tptp.apply @t119 @t2 @t13)))))))) % 0.51/0.79 (define @t139 () (and @t138 @t136)) % 0.51/0.79 (define @t140 () (= @t122 @t139)) % 0.51/0.79 (define @t141 () (@list false false)) % 0.51/0.79 (define @t142 () (not @t139)) % 0.51/0.79 (define @t143 () (@list false)) % 0.51/0.79 (define @t144 () (@list @t139)) % 0.51/0.79 (define @t145 () (not (tptp.member @t13 @t123))) % 0.51/0.79 (define @t146 () (not (tptp.member @t55 @t118))) % 0.51/0.79 (define @t147 () (not (tptp.member @t56 @t118))) % 0.51/0.79 (define @t148 () (forall @t65 (or @t147 @t146 @t145 (not (tptp.apply @t125 @t56 @t13)) (not (tptp.apply @t125 @t55 @t13)) @t57))) % 0.51/0.79 (define @t149 () (@quantifiers_skolemize @t148 1)) % 0.51/0.79 (define @t150 () (not @t58)) % 0.51/0.79 (define @t151 () (not @t59)) % 0.51/0.79 (define @t152 () (not @t62)) % 0.51/0.79 (define @t153 () (not @t63)) % 0.51/0.79 (define @t154 () (or @t151 @t150 @t57)) % 0.51/0.79 (define @t155 () (or @t153 @t152 @t107)) % 0.51/0.79 (define @t156 () (@list @t125 @t118 @t123)) % 0.51/0.79 (define @t157 () (not (forall @t73 (or (not @t71) (not @t70))))) % 0.51/0.79 (define @t158 () (forall @t73 (not @t72))) % 0.51/0.79 (define @t159 () (not @t158)) % 0.51/0.79 (define @t160 () (not (tptp.member @t11 @t118))) % 0.51/0.79 (define @t161 () (forall @t16 (or @t145 (not (forall @t73 (or @t160 (not (tptp.apply @t125 @t11 @t13)))))))) % 0.51/0.79 (define @t162 () (@quantifiers_skolemize @t161 0)) % 0.51/0.79 (define @t163 () (tptp.member @t162 @t123)) % 0.51/0.79 (define @t164 () (forall @t73 (or @t160 (not (tptp.apply @t125 @t11 @t162))))) % 0.51/0.79 (define @t165 () (not @t164)) % 0.51/0.79 (define @t166 () (not @t163)) % 0.51/0.79 (define @t167 () (or @t166 @t165)) % 0.51/0.79 (define @t168 () (@list @t124 @t117 @t123)) % 0.51/0.79 (define @t169 () (tptp.surjective @t124 @t117 @t123)) % 0.51/0.79 (define @t170 () (tptp.injective @t124 @t117 @t123)) % 0.51/0.79 (define @t171 () (and @t170 @t169)) % 0.51/0.79 (define @t172 () (= @t127 @t171)) % 0.51/0.79 (define @t173 () (not @t171)) % 0.51/0.79 (define @t174 () (@list @t171)) % 0.51/0.79 (define @t175 () (not (tptp.member @t11 @t117))) % 0.51/0.79 (define @t176 () (forall @t16 (or @t145 (not (forall @t73 (or @t175 (not (tptp.apply @t124 @t11 @t13)))))))) % 0.51/0.79 (define @t177 () (= @t169 @t176)) % 0.51/0.79 (define @t178 () (forall @t73 (or @t175 (not (tptp.apply @t124 @t11 @t162))))) % 0.51/0.79 (define @t179 () (not @t178)) % 0.51/0.79 (define @t180 () (or @t166 @t179)) % 0.51/0.79 (define @t181 () (@quantifiers_skolemize @t178 0)) % 0.51/0.79 (define @t182 () (forall @t73 (or @t160 (not (tptp.apply @t119 @t11 @t181))))) % 0.51/0.79 (define @t183 () (@quantifiers_skolemize @t182 0)) % 0.51/0.79 (define @t184 () (tptp.apply @t125 @t183 @t162)) % 0.51/0.79 (define @t185 () (not @t184)) % 0.51/0.79 (define @t186 () (tptp.member @t183 @t118)) % 0.51/0.79 (define @t187 () (not @t186)) % 0.51/0.79 (define @t188 () (or @t187 @t185)) % 0.51/0.79 (define @t189 () (tptp.apply @t124 @t181 @t162)) % 0.51/0.79 (define @t190 () (not @t189)) % 0.51/0.79 (define @t191 () (tptp.member @t181 @t117)) % 0.51/0.79 (define @t192 () (not @t191)) % 0.51/0.79 (define @t193 () (or @t192 @t190)) % 0.51/0.79 (define @t194 () (not @t193)) % 0.51/0.79 (define @t195 () (tptp.surjective @t119 @t118 @t117)) % 0.51/0.79 (define @t196 () (tptp.injective @t119 @t118 @t117)) % 0.51/0.79 (define @t197 () (and @t196 @t195)) % 0.51/0.79 (define @t198 () (= @t129 @t197)) % 0.51/0.79 (define @t199 () (not @t197)) % 0.51/0.79 (define @t200 () (@list @t197)) % 0.51/0.79 (define @t201 () (forall @t16 (or @t137 (not (forall @t73 (or @t160 (not (tptp.apply @t119 @t11 @t13)))))))) % 0.51/0.79 (define @t202 () (= @t195 @t201)) % 0.51/0.79 (define @t203 () (@list @t181)) % 0.51/0.79 (define @t204 () (not @t182)) % 0.51/0.79 (define @t205 () (or @t192 @t204)) % 0.51/0.79 (define @t206 () (tptp.apply @t119 @t183 @t181)) % 0.51/0.79 (define @t207 () (not @t206)) % 0.51/0.79 (define @t208 () (or @t187 @t207)) % 0.51/0.79 (define @t209 () (not @t208)) % 0.51/0.79 (define @t210 () (not @t43)) % 0.51/0.79 (define @t211 () (or @t107 @t106 @t210)) % 0.51/0.79 (define @t212 () (not (forall @t16 @t211))) % 0.51/0.79 (define @t213 () (= @t51 @t212)) % 0.51/0.79 (define @t214 () (not @t48)) % 0.51/0.79 (define @t215 () (forall @t16 (not @t44))) % 0.51/0.79 (define @t216 () (not @t215)) % 0.51/0.79 (define @t217 () (forall @t16 (or @t137 (not (tptp.apply @t119 @t183 @t13)) (not (tptp.apply @t124 @t13 @t162))))) % 0.51/0.79 (define @t218 () (not @t217)) % 0.51/0.79 (define @t219 () (= @t184 @t218)) % 0.51/0.79 (define @t220 () (or @t187 @t166 @t219)) % 0.51/0.79 (define @t221 () (or @t192 @t207 @t190)) % 0.51/0.79 (define @t222 () (not @t219)) % 0.51/0.79 (define @t223 () (not @t167)) % 0.51/0.79 (define @t224 () (not @t161)) % 0.51/0.79 (define @t225 () (tptp.surjective @t125 @t118 @t123)) % 0.51/0.79 (define @t226 () (= @t225 @t161)) % 0.51/0.79 (define @t227 () (tptp.injective @t125 @t118 @t123)) % 0.51/0.79 (define @t228 () (and @t227 @t225)) % 0.51/0.79 (define @t229 () (= @t126 @t228)) % 0.51/0.79 (define @t230 () (not @t228)) % 0.51/0.79 (define @t231 () (@list true false)) % 0.51/0.79 (define @t232 () (= @t227 @t148)) % 0.51/0.79 (define @t233 () (not @t148)) % 0.51/0.79 (define @t234 () (@quantifiers_skolemize @t148 0)) % 0.51/0.79 (define @t235 () (= @t234 @t149)) % 0.51/0.79 (define @t236 () (@quantifiers_skolemize @t148 2)) % 0.51/0.79 (define @t237 () (tptp.apply @t125 @t149 @t236)) % 0.51/0.79 (define @t238 () (not @t237)) % 0.51/0.79 (define @t239 () (tptp.apply @t125 @t234 @t236)) % 0.51/0.79 (define @t240 () (not @t239)) % 0.51/0.79 (define @t241 () (tptp.member @t236 @t123)) % 0.51/0.79 (define @t242 () (not @t241)) % 0.51/0.79 (define @t243 () (tptp.member @t149 @t118)) % 0.51/0.79 (define @t244 () (not @t243)) % 0.51/0.79 (define @t245 () (tptp.member @t234 @t118)) % 0.51/0.79 (define @t246 () (not @t245)) % 0.51/0.79 (define @t247 () (or @t246 @t244 @t242 @t240 @t238 @t235)) % 0.51/0.79 (define @t248 () (not @t247)) % 0.51/0.79 (define @t249 () (@list @t247)) % 0.51/0.79 (define @t250 () (not (tptp.apply @t119 @t149 @t13))) % 0.51/0.79 (define @t251 () (forall @t16 (or @t137 @t250))) % 0.51/0.79 (define @t252 () (not @t251)) % 0.51/0.79 (define @t253 () (or @t244 @t252)) % 0.51/0.79 (define @t254 () (@quantifiers_skolemize @t251 0)) % 0.51/0.79 (define @t255 () (tptp.apply @t119 @t149 @t254)) % 0.51/0.79 (define @t256 () (not @t255)) % 0.51/0.79 (define @t257 () (tptp.member @t254 @t117)) % 0.51/0.79 (define @t258 () (not @t257)) % 0.51/0.79 (define @t259 () (or @t258 @t256)) % 0.51/0.79 (define @t260 () (not @t259)) % 0.51/0.79 (define @t261 () (@list @t259)) % 0.51/0.79 (define @t262 () (forall @t65 (or @t147 @t146 @t137 (not (tptp.apply @t119 @t56 @t13)) (not (tptp.apply @t119 @t55 @t13)) @t57))) % 0.51/0.79 (define @t263 () (= @t196 @t262)) % 0.51/0.79 (define @t264 () (not (tptp.apply @t119 @t234 @t13))) % 0.51/0.79 (define @t265 () (forall @t16 (or @t137 @t264))) % 0.51/0.79 (define @t266 () (@quantifiers_skolemize @t265 0)) % 0.51/0.79 (define @t267 () (not @t265)) % 0.51/0.79 (define @t268 () (or @t246 @t267)) % 0.51/0.79 (define @t269 () (tptp.apply @t119 @t234 @t266)) % 0.51/0.79 (define @t270 () (not @t269)) % 0.51/0.79 (define @t271 () (tptp.member @t266 @t117)) % 0.51/0.79 (define @t272 () (not @t271)) % 0.51/0.79 (define @t273 () (or @t272 @t270)) % 0.51/0.79 (define @t274 () (not @t273)) % 0.51/0.79 (define @t275 () (@list @t273)) % 0.51/0.79 (define @t276 () (tptp.apply @t119 @t149 @t266)) % 0.51/0.79 (define @t277 () (not @t276)) % 0.51/0.79 (define @t278 () (or @t246 @t244 @t272 @t270 @t277 @t235)) % 0.51/0.79 (define @t279 () (not (tptp.apply @t124 @t13 @t236))) % 0.51/0.79 (define @t280 () (forall @t16 (or @t137 @t250 @t279))) % 0.51/0.79 (define @t281 () (@quantifiers_skolemize @t280 0)) % 0.51/0.79 (define @t282 () (tptp.apply @t119 @t149 @t281)) % 0.51/0.79 (define @t283 () (not @t282)) % 0.51/0.79 (define @t284 () (tptp.member @t281 @t117)) % 0.51/0.79 (define @t285 () (not @t284)) % 0.51/0.79 (define @t286 () (or @t244 @t285 @t258 @t283 @t256 (= @t281 @t254))) % 0.51/0.79 (define @t287 () (= @t254 @t281)) % 0.51/0.79 (define @t288 () (or @t244 @t285 @t258 @t283 @t256 @t287)) % 0.51/0.79 (define @t289 () (@list @t136)) % 0.51/0.79 (define @t290 () (not @t280)) % 0.51/0.79 (define @t291 () (= @t237 @t290)) % 0.51/0.79 (define @t292 () (or @t244 @t242 @t291)) % 0.51/0.79 (define @t293 () (@list false false false)) % 0.51/0.79 (define @t294 () (tptp.apply @t124 @t281 @t236)) % 0.51/0.79 (define @t295 () (not @t294)) % 0.51/0.79 (define @t296 () (or @t285 @t283 @t295)) % 0.51/0.79 (define @t297 () (not @t296)) % 0.51/0.79 (define @t298 () (@list @t296)) % 0.51/0.79 (define @t299 () (@list false false false false false false)) % 0.51/0.79 (define @t300 () (forall @t16 (or @t137 @t264 @t279))) % 0.51/0.79 (define @t301 () (@quantifiers_skolemize @t300 0)) % 0.51/0.79 (define @t302 () (tptp.apply @t119 @t234 @t301)) % 0.51/0.79 (define @t303 () (not @t302)) % 0.51/0.79 (define @t304 () (tptp.member @t301 @t117)) % 0.51/0.79 (define @t305 () (not @t304)) % 0.51/0.79 (define @t306 () (or @t246 @t272 @t305 @t270 @t303 (= @t266 @t301))) % 0.51/0.79 (define @t307 () (= @t301 @t266)) % 0.51/0.79 (define @t308 () (or @t246 @t272 @t305 @t270 @t303 @t307)) % 0.51/0.79 (define @t309 () (not @t300)) % 0.51/0.79 (define @t310 () (= @t239 @t309)) % 0.51/0.79 (define @t311 () (or @t246 @t242 @t310)) % 0.51/0.79 (define @t312 () (tptp.apply @t124 @t301 @t236)) % 0.51/0.79 (define @t313 () (not @t312)) % 0.51/0.79 (define @t314 () (or @t305 @t303 @t313)) % 0.51/0.79 (define @t315 () (not @t314)) % 0.51/0.79 (define @t316 () (@list @t314)) % 0.51/0.79 (define @t317 () (forall @t65 (or (not (tptp.member @t56 @t117)) (not (tptp.member @t55 @t117)) @t145 (not (tptp.apply @t124 @t56 @t13)) (not (tptp.apply @t124 @t55 @t13)) @t57))) % 0.51/0.79 (define @t318 () (= @t170 @t317)) % 0.51/0.79 (define @t319 () (tptp.apply @t124 @t266 @t236)) % 0.51/0.79 (define @t320 () (not @t319)) % 0.51/0.79 (define @t321 () (or @t285 @t272 @t242 @t295 @t320 (= @t281 @t266))) % 0.51/0.79 (define @t322 () (= @t266 @t281)) % 0.51/0.79 (define @t323 () (or @t285 @t272 @t242 @t295 @t320 @t322)) % 0.51/0.79 (define @t324 () (and @t312 @t307)) % 0.51/0.79 (define @t325 () (not @t307)) % 0.51/0.79 (define @t326 () (not @t322)) % 0.51/0.79 (define @t327 () (not @t287)) % 0.51/0.79 (define @t328 () (and @t277 @t307 @t322 @t287 @t255)) % 0.51/0.79 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.51/0.79 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.51/0.79 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.51/0.79 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.51/0.79 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.51/0.79 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.51/0.79 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.51/0.79 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.51/0.79 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.51/0.79 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.51/0.79 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.51/0.79 (assume @p12 @t40) % 0.51/0.79 (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)))))) % 0.51/0.79 (assume @p14 @t54) % 0.51/0.79 (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)))))) % 0.51/0.79 (assume @p16 (forall (@list @t20 @t4) (= (tptp.identity @t20 @t4) (forall @t6 (=> @t5 (tptp.apply @t20 @t2 @t2)))))) % 0.51/0.79 (assume @p17 @t69) % 0.51/0.79 (assume @p18 @t79) % 0.51/0.79 (assume @p19 (forall @t39 (= @t80 (and @t67 @t77)))) % 0.51/0.79 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t81 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 0.51/0.79 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t81 (= @t30 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 0.51/0.79 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t82))) % 0.51/0.79 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t82)))) % 0.51/0.79 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 0.51/0.79 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 0.51/0.79 (assume @p26 (forall @t91 (= (tptp.increasing @t20 @t4 @t87 @t1 @t83) (forall @t90 (=> @t89 @t84))))) % 0.51/0.79 (assume @p27 (forall @t91 (= (tptp.decreasing @t20 @t4 @t87 @t1 @t83) (forall @t90 (=> @t89 (tptp.apply @t83 @t17 @t18)))))) % 0.51/0.79 (assume @p28 (forall @t91 (= (tptp.isomorphism @t20 @t4 @t87 @t1 @t83) (and @t37 @t80 (forall @t90 (=> (and @t63 @t26 @t62 @t25 @t86 @t85) (= @t88 @t84))))))) % 0.51/0.79 (assume @p29 @t98) % 0.51/0.79 (assume @p30 true) % 0.51/0.79 (step @p31 :rule aci_norm :args ((= (or @t105 @t104) (or @t103 @t102 @t101 @t100 @t99 @t19)))) % 0.51/0.79 (step @p32 :rule aci_norm :args ((= (or (or @t100 @t99) @t19) @t104))) % 0.51/0.79 (step @p33 :rule refl :args (@t19)) % 0.51/0.79 (step @p34 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.51/0.79 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t23) @t19))) % 0.51/0.79 (step @p36 :rule trans :premises (@p35 @p32)) % 0.51/0.79 (step @p37 :rule bool-impl-elim :args (@t23 @t19)) % 0.51/0.79 (step @p38 :rule trans :premises (@p37 @p36)) % 0.51/0.79 (step @p39 :rule aci_norm :args ((= (or @t103 (or @t102 @t101)) @t105))) % 0.51/0.79 (step @p40 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.51/0.79 (step @p41 :rule refl :args (@t103)) % 0.51/0.79 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t103 (not (and @t26 @t25))))) % 0.51/0.79 (step @p43 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 0.51/0.79 (step @p44 :rule trans :premises (@p43 @p42)) % 0.51/0.79 (step @p45 :rule trans :premises (@p44 @p39)) % 0.51/0.79 (step @p46 :rule nary_cong :premises (@p45 @p38) :args ((or (not @t27) @t24))) % 0.51/0.79 (step @p47 :rule trans :premises (@p46 @p31)) % 0.51/0.79 (step @p48 :rule bool-impl-elim :args (@t27 @t24)) % 0.51/0.79 (step @p49 :rule trans :premises (@p48 @p47)) % 0.51/0.79 (step @p50 :rule cong :premises (@p49) :args (@t29)) % 0.51/0.79 (step @p51 :rule bool-impl-elim :args (@t5 @t108)) % 0.51/0.79 (step @p52 :rule cong :premises (@p51) :args ((forall @t6 (=> @t5 @t108)))) % 0.51/0.79 (step @p53 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.51/0.79 (step @p54 :rule cong :premises (@p53) :args (@t109)) % 0.51/0.79 (step @p55 :rule cong :premises (@p54) :args (@t110)) % 0.51/0.79 (step @p56 :rule exists-elim :args ((= @t33 @t110))) % 0.51/0.79 (step @p57 :rule trans :premises (@p56 @p55)) % 0.51/0.79 (step @p58 :rule refl :args (@t5)) % 0.51/0.79 (step @p59 :rule cong :premises (@p58 @p57) :args (@t34)) % 0.51/0.79 (step @p60 :rule cong :premises (@p59) :args (@t35)) % 0.51/0.79 (step @p61 :rule trans :premises (@p60 @p52)) % 0.51/0.79 (step @p62 :rule nary_cong :premises (@p61 @p50) :args (@t36)) % 0.51/0.79 (step @p63 :rule refl :args (@t37)) % 0.51/0.79 (step @p64 :rule cong :premises (@p63 @p62) :args (@t38)) % 0.51/0.79 (step @p65 :rule cong :premises (@p64) :args (@t40)) % 0.51/0.79 (step @p66 :rule eq_resolve :premises (@p12 @p65)) % 0.51/0.79 (step @p67 :rule instantiate :premises (@p66) :args (@t120)) % 0.51/0.79 (step @p68 :rule aci_norm :args ((= (or @t121 @t92) @t115))) % 0.51/0.79 (step @p69 :rule refl :args (@t92)) % 0.51/0.79 (step @p70 :rule aci_norm :args ((= (or @t114 (or @t113 (or @t112 @t111))) @t121))) % 0.51/0.79 (step @p71 :rule bool-and-de-morgan :args (@t80 @t93 true)) % 0.51/0.79 (step @p72 :rule refl :args (@t113)) % 0.51/0.79 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t113 (not (and @t80 @t93))))) % 0.51/0.79 (step @p74 :rule bool-and-de-morgan :args (@t94 @t80 (and @t93))) % 0.51/0.79 (step @p75 :rule trans :premises (@p74 @p73)) % 0.51/0.79 (step @p76 :rule refl :args (@t114)) % 0.51/0.79 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t114 (not (and @t94 @t80 @t93))))) % 0.51/0.79 (step @p78 :rule bool-and-de-morgan :args (@t37 @t94 (and @t80 @t93))) % 0.51/0.79 (step @p79 :rule trans :premises (@p78 @p77)) % 0.51/0.79 (step @p80 :rule trans :premises (@p79 @p70)) % 0.51/0.79 (step @p81 :rule nary_cong :premises (@p80 @p69) :args ((or (not @t95) @t92))) % 0.51/0.79 (step @p82 :rule trans :premises (@p81 @p68)) % 0.51/0.79 (step @p83 :rule bool-impl-elim :args (@t95 @t92)) % 0.51/0.79 (step @p84 :rule trans :premises (@p83 @p82)) % 0.51/0.79 (step @p85 :rule cong :premises (@p84) :args (@t97)) % 0.51/0.79 (step @p86 :rule cong :premises (@p85) :args (@t98)) % 0.51/0.79 (step @p87 :rule eq_resolve :premises (@p29 @p86)) % 0.51/0.79 (step @p88 :rule skolemize :premises (@p87)) % 0.51/0.79 (step @p89 :rule bool-double-not-elim :args (@t122)) % 0.51/0.79 (step @p90 :rule refl :args (@t132)) % 0.51/0.79 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t132 (not @t131)))) % 0.51/0.79 (step @p92 :rule cnf_or_neg :args (@t132 0)) % 0.51/0.79 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.51/0.79 (step @p94 :rule reordering :premises (@p93) :args ((or @t122 @t132))) % 0.51/0.79 (step @p95 :rule chain_m_resolution :premises (@p94 @p88) :args (@t122 @t133 @t134)) % 0.51/0.79 (step @p96 :rule cnf_equiv_pos1 :args (@t140)) % 0.51/0.79 (step @p97 :rule reordering :premises (@p96) :args ((or @t131 @t139 (not @t140)))) % 0.51/0.79 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p67) :args (@t139 @t141 (@list @t122 @t140))) % 0.51/0.79 (step @p99 :rule cnf_and_pos :args (@t139 0)) % 0.51/0.79 (step @p100 :rule reordering :premises (@p99) :args ((or @t138 @t142))) % 0.51/0.79 (step @p101 :rule chain_m_resolution :premises (@p100 @p98) :args (@t138 @t143 @t144)) % 0.51/0.79 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t149))) % 0.51/0.79 (step @p103 :rule aci_norm :args ((= (or @t155 @t154) (or @t153 @t152 @t107 @t151 @t150 @t57)))) % 0.51/0.79 (step @p104 :rule aci_norm :args ((= (or (or @t151 @t150) @t57) @t154))) % 0.51/0.79 (step @p105 :rule refl :args (@t57)) % 0.51/0.79 (step @p106 :rule bool-and-de-morgan :args (@t59 @t58 true)) % 0.51/0.79 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or (not @t60) @t57))) % 0.51/0.79 (step @p108 :rule trans :premises (@p107 @p104)) % 0.51/0.79 (step @p109 :rule bool-impl-elim :args (@t60 @t57)) % 0.51/0.79 (step @p110 :rule trans :premises (@p109 @p108)) % 0.51/0.79 (step @p111 :rule aci_norm :args ((= (or @t153 (or @t152 @t107)) @t155))) % 0.51/0.79 (step @p112 :rule bool-and-de-morgan :args (@t62 @t31 true)) % 0.51/0.79 (step @p113 :rule refl :args (@t153)) % 0.51/0.79 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t153 (not (and @t62 @t31))))) % 0.51/0.79 (step @p115 :rule bool-and-de-morgan :args (@t63 @t62 (and @t31))) % 0.51/0.79 (step @p116 :rule trans :premises (@p115 @p114)) % 0.51/0.79 (step @p117 :rule trans :premises (@p116 @p111)) % 0.51/0.79 (step @p118 :rule nary_cong :premises (@p117 @p110) :args ((or (not @t64) @t61))) % 0.51/0.79 (step @p119 :rule trans :premises (@p118 @p103)) % 0.51/0.79 (step @p120 :rule bool-impl-elim :args (@t64 @t61)) % 0.51/0.79 (step @p121 :rule trans :premises (@p120 @p119)) % 0.51/0.79 (step @p122 :rule cong :premises (@p121) :args (@t66)) % 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% 0.51/0.79 (step @p542 :rule bool-double-not-elim :args (@t312)) % 0.51/0.79 (step @p543 :rule nary_cong :premises (@p506 @p542) :args ((or @t314 (not @t313)))) % 0.51/0.79 (step @p544 :rule cnf_or_neg :args (@t314 2)) % 0.51/0.79 (step @p545 :rule eq_resolve :premises (@p544 @p543)) % 0.51/0.79 (step @p546 :rule reordering :premises (@p545) :args ((or @t312 @t314))) % 0.51/0.79 (step @p547 :rule chain_m_resolution :premises (@p546 @p504) :args (@t312 @t133 @t316)) % 0.51/0.79 (assume-push @p653 @t312) % 0.51/0.79 (assume-push @p654 @t307) % 0.51/0.79 (assume-push @p655 @t312) % 0.51/0.79 (assume-push @p656 @t307) % 0.51/0.79 (step @p552 :rule true_intro :premises (@p653)) % 0.51/0.79 (step @p553 :rule refl :args (@t236)) % 0.51/0.79 (step @p554 :rule symm :premises (@p654)) % 0.51/0.79 (step @p555 :rule refl :args (@t124)) % 0.51/0.79 (step @p556 :rule cong :premises (@p555 @p554 @p553) :args (@t319)) % 0.51/0.79 (step @p557 :rule trans :premises (@p556 @p552)) % 0.51/0.79 (step @p558 :rule true_elim :premises (@p557)) % 0.51/0.79 (step-pop @p657 :rule scope :premises (@p558)) % 0.51/0.79 (step-pop @p658 :rule scope :premises (@p657)) % 0.51/0.79 (step @p559 :rule process_scope :premises (@p658) :args (@t319)) % 0.51/0.79 (step @p562 :rule and_intro :premises (@p653 @p654)) % 0.51/0.79 (step @p563 :rule modus_ponens :premises (@p562 @p559)) % 0.51/0.79 (step-pop @p659 :rule scope :premises (@p563)) % 0.51/0.79 (step-pop @p660 :rule scope :premises (@p659)) % 0.51/0.79 (step @p564 :rule process_scope :premises (@p660) :args (@t319)) % 0.51/0.79 (step @p567 :rule implies_elim :premises (@p564)) % 0.51/0.79 (step @p568 :rule cnf_and_neg :args (@t324)) % 0.51/0.79 (step @p569 :rule resolution :premises (@p568 @p567) :args (true @t324)) % 0.51/0.79 (step @p570 :rule reordering :premises (@p569) :args ((or @t313 @t319 @t325))) % 0.51/0.79 (step @p571 :rule chain_m_resolution :premises (@p570 @p547 @p520) :args (@t319 @t141 (@list @t312 @t307))) % 0.51/0.79 (step @p572 :rule bool-double-not-elim :args (@t294)) % 0.51/0.79 (step @p573 :rule nary_cong :premises (@p446 @p572) :args ((or @t296 (not @t295)))) % 0.51/0.79 (step @p574 :rule cnf_or_neg :args (@t296 2)) % 0.51/0.79 (step @p575 :rule eq_resolve :premises (@p574 @p573)) % 0.51/0.79 (step @p576 :rule reordering :premises (@p575) :args ((or @t294 @t296))) % 0.51/0.79 (step @p577 :rule chain_m_resolution :premises (@p576 @p444) :args (@t294 @t133 @t298)) % 0.51/0.79 (step @p578 :rule cnf_or_pos :args (@t323)) % 0.51/0.79 (step @p579 :rule reordering :premises (@p578) :args ((or @t242 @t272 @t285 @t295 @t320 @t322 (not @t323)))) % 0.51/0.79 (step @p580 :rule chain_m_resolution :premises (@p579 @p422 @p391 @p457 @p577 @p571 @p541) :args (@t322 @t299 (@list @t241 @t271 @t284 @t294 @t319 @t323))) % 0.51/0.79 (step @p581 :rule refl :args (@t326)) % 0.51/0.79 (step @p582 :rule refl :args (@t327)) % 0.51/0.79 (step @p583 :rule refl :args (@t325)) % 0.51/0.79 (step @p584 :rule bool-double-not-elim :args (@t276)) % 0.51/0.79 (step @p585 :rule nary_cong :premises (@p401 @p584 @p583 @p582 @p581) :args ((or @t256 (not @t277) @t325 @t327 @t326))) % 0.51/0.79 (assume-push @p661 @t277) % 0.51/0.79 (assume-push @p662 @t307) % 0.51/0.79 (assume-push @p663 @t322) % 0.51/0.79 (assume-push @p664 @t287) % 0.51/0.79 (assume-push @p665 @t255) % 0.51/0.79 (step @p591 :rule evaluate :args ((= true false))) % 0.51/0.79 (step @p592 :rule false_intro :premises (@p661)) % 0.51/0.79 (step @p593 :rule refl :args (@t149)) % 0.51/0.79 (step @p594 :rule refl :args (@t119)) % 0.51/0.79 (step @p595 :rule cong :premises (@p594 @p593 @p662) :args ((tptp.apply @t119 @t149 @t301))) % 0.51/0.79 (step @p596 :rule symm :premises (@p662)) % 0.51/0.79 (step @p597 :rule symm :premises (@p663)) % 0.51/0.79 (step @p598 :rule trans :premises (@p664 @p597 @p596)) % 0.51/0.79 (step @p599 :rule cong :premises (@p594 @p593 @p598) :args (@t255)) % 0.51/0.79 (step @p600 :rule true_intro :premises (@p665)) % 0.51/0.79 (step @p601 :rule symm :premises (@p600)) % 0.51/0.79 (step @p602 :rule trans :premises (@p601 @p599 @p595 @p592)) % 0.51/0.79 (step @p603 false :rule eq_resolve :premises (@p602 @p591)) % 0.51/0.79 (step-pop @p666 :rule scope :premises (@p603)) % 0.51/0.79 (step-pop @p667 :rule scope :premises (@p666)) % 0.51/0.79 (step-pop @p668 :rule scope :premises (@p667)) % 0.51/0.79 (step-pop @p669 :rule scope :premises (@p668)) % 0.51/0.79 (step-pop @p670 :rule scope :premises (@p669)) % 0.51/0.79 (step @p604 :rule process_scope :premises (@p670) :args (false)) % 0.51/0.79 (assume-push @p671 @t255) % 0.51/0.79 (assume-push @p672 @t277) % 0.51/0.79 (assume-push @p673 @t307) % 0.51/0.79 (assume-push @p674 @t287) % 0.51/0.79 (assume-push @p675 @t322) % 0.51/0.79 (step @p615 :rule and_intro :premises (@p672 @p673 @p675 @p674 @p671)) % 0.51/0.79 (step-pop @p676 :rule scope :premises (@p615)) % 0.51/0.79 (step-pop @p677 :rule scope :premises (@p676)) % 0.51/0.79 (step-pop @p678 :rule scope :premises (@p677)) % 0.51/0.79 (step-pop @p679 :rule scope :premises (@p678)) % 0.51/0.79 (step-pop @p680 :rule scope :premises (@p679)) % 0.51/0.79 (step @p616 :rule process_scope :premises (@p680) :args (@t328)) % 0.51/0.79 (step @p622 :rule implies_elim :premises (@p616)) % 0.51/0.79 (step @p623 :rule resolution :premises (@p622 @p604) :args (true @t328)) % 0.51/0.79 (step @p624 :rule not_and :premises (@p623)) % 0.51/0.79 (step @p625 :rule eq_resolve :premises (@p624 @p585)) % 0.51/0.79 (step @p626 false :rule chain_m_resolution :premises (@p625 @p580 @p520 @p466 @p396 @p350) :args (false (@list false false false true false) (@list @t322 @t307 @t287 @t276 @t255))) % 0.51/0.79 ) % 0.51/0.79 % SZS output end Proof % 0.51/0.79 % cvc5 exiting %------------------------------------------------------------------------------