%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET725+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 : n020.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 08:48:31 AM UTC 2026 % Result : Theorem 1.51s 1.71s % Output : Proof 1.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET725+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:10:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.51/1.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.51/1.71 % SZS status Theorem % 1.51/1.71 % SZS output start Proof % 1.51/1.71 ( % 1.51/1.71 (declare-sort $$unsorted 0) % 1.51/1.71 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.empty_set $$unsorted) % 1.51/1.71 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.51/1.71 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.51/1.71 (define @t1 () (@var "B" $$unsorted)) % 1.51/1.71 (define @t2 () (@var "X" $$unsorted)) % 1.51/1.71 (define @t3 () (tptp.member @t2 @t1)) % 1.51/1.71 (define @t4 () (@var "A" $$unsorted)) % 1.51/1.71 (define @t5 () (tptp.member @t2 @t4)) % 1.51/1.71 (define @t6 () (@list @t2)) % 1.51/1.71 (define @t7 () (tptp.subset @t4 @t1)) % 1.51/1.71 (define @t8 () (@list @t4 @t1)) % 1.51/1.71 (define @t9 () (@list @t2 @t4)) % 1.51/1.71 (define @t10 () (@list @t2 @t4 @t1)) % 1.51/1.71 (define @t11 () (@var "E" $$unsorted)) % 1.51/1.71 (define @t12 () (= @t2 @t4)) % 1.51/1.71 (define @t13 () (@var "Y" $$unsorted)) % 1.51/1.71 (define @t14 () (tptp.member @t2 @t13)) % 1.51/1.71 (define @t15 () (tptp.member @t13 @t4)) % 1.51/1.71 (define @t16 () (@list @t13)) % 1.51/1.71 (define @t17 () (@var "Y2" $$unsorted)) % 1.51/1.71 (define @t18 () (@var "Y1" $$unsorted)) % 1.51/1.71 (define @t19 () (= @t18 @t17)) % 1.51/1.71 (define @t20 () (@var "F" $$unsorted)) % 1.51/1.71 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 1.51/1.71 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 1.51/1.71 (define @t23 () (and @t22 @t21)) % 1.51/1.71 (define @t24 () (=> @t23 @t19)) % 1.51/1.71 (define @t25 () (tptp.member @t17 @t1)) % 1.51/1.71 (define @t26 () (tptp.member @t18 @t1)) % 1.51/1.71 (define @t27 () (and @t5 @t26 @t25)) % 1.51/1.71 (define @t28 () (@list @t2 @t18 @t17)) % 1.51/1.71 (define @t29 () (forall @t28 (=> @t27 @t24))) % 1.51/1.71 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 1.51/1.71 (define @t31 () (tptp.member @t13 @t1)) % 1.51/1.71 (define @t32 () (and @t31 @t30)) % 1.51/1.71 (define @t33 () (exists @t16 @t32)) % 1.51/1.71 (define @t34 () (=> @t5 @t33)) % 1.51/1.71 (define @t35 () (forall @t6 @t34)) % 1.51/1.71 (define @t36 () (and @t35 @t29)) % 1.51/1.71 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 1.51/1.71 (define @t38 () (= @t37 @t36)) % 1.51/1.71 (define @t39 () (@list @t20 @t4 @t1)) % 1.51/1.71 (define @t40 () (forall @t39 @t38)) % 1.51/1.71 (define @t41 () (@var "Z" $$unsorted)) % 1.51/1.71 (define @t42 () (@var "G" $$unsorted)) % 1.51/1.71 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 1.51/1.71 (define @t44 () (and @t31 @t30 @t43)) % 1.51/1.71 (define @t45 () (exists @t16 @t44)) % 1.51/1.71 (define @t46 () (@var "H" $$unsorted)) % 1.51/1.71 (define @t47 () (@var "C" $$unsorted)) % 1.51/1.71 (define @t48 () (tptp.member @t41 @t47)) % 1.51/1.71 (define @t49 () (and @t5 @t48)) % 1.51/1.71 (define @t50 () (tptp.apply (tptp.compose_function @t42 @t20 @t4 @t1 @t47) @t2 @t41)) % 1.51/1.71 (define @t51 () (=> @t49 (= @t50 @t45))) % 1.51/1.71 (define @t52 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 1.51/1.71 (define @t53 () (forall @t52 @t51)) % 1.51/1.71 (define @t54 () (tptp.apply @t20 @t2 @t2)) % 1.51/1.71 (define @t55 () (forall @t6 (=> @t5 @t54))) % 1.51/1.71 (define @t56 () (tptp.identity @t20 @t4)) % 1.51/1.71 (define @t57 () (= @t56 @t55)) % 1.51/1.71 (define @t58 () (forall (@list @t20 @t4) @t57)) % 1.51/1.71 (define @t59 () (@var "X2" $$unsorted)) % 1.51/1.71 (define @t60 () (@var "X1" $$unsorted)) % 1.51/1.71 (define @t61 () (= @t60 @t59)) % 1.51/1.71 (define @t62 () (tptp.apply @t20 @t59 @t13)) % 1.51/1.71 (define @t63 () (tptp.apply @t20 @t60 @t13)) % 1.51/1.71 (define @t64 () (and @t63 @t62)) % 1.51/1.71 (define @t65 () (=> @t64 @t61)) % 1.51/1.71 (define @t66 () (tptp.member @t59 @t4)) % 1.51/1.71 (define @t67 () (tptp.member @t60 @t4)) % 1.51/1.71 (define @t68 () (and @t67 @t66 @t31)) % 1.51/1.71 (define @t69 () (@list @t60 @t59 @t13)) % 1.51/1.71 (define @t70 () (forall @t69 (=> @t68 @t65))) % 1.51/1.71 (define @t71 () (tptp.injective @t20 @t4 @t1)) % 1.51/1.71 (define @t72 () (= @t71 @t70)) % 1.51/1.71 (define @t73 () (forall @t39 @t72)) % 1.51/1.71 (define @t74 () (tptp.apply @t20 @t11 @t13)) % 1.51/1.71 (define @t75 () (tptp.member @t11 @t4)) % 1.51/1.71 (define @t76 () (and @t75 @t74)) % 1.51/1.71 (define @t77 () (@list @t11)) % 1.51/1.71 (define @t78 () (exists @t77 @t76)) % 1.51/1.71 (define @t79 () (=> @t31 @t78)) % 1.51/1.71 (define @t80 () (forall @t16 @t79)) % 1.51/1.71 (define @t81 () (tptp.surjective @t20 @t4 @t1)) % 1.51/1.71 (define @t82 () (= @t81 @t80)) % 1.51/1.71 (define @t83 () (forall @t39 @t82)) % 1.51/1.71 (define @t84 () (tptp.one_to_one @t20 @t4 @t1)) % 1.51/1.71 (define @t85 () (and @t5 @t31)) % 1.51/1.71 (define @t86 () (exists @t6 (and @t5 @t30))) % 1.51/1.71 (define @t87 () (@var "S" $$unsorted)) % 1.51/1.71 (define @t88 () (tptp.apply @t87 @t18 @t17)) % 1.51/1.71 (define @t89 () (tptp.apply @t20 @t59 @t17)) % 1.51/1.71 (define @t90 () (tptp.apply @t20 @t60 @t18)) % 1.51/1.71 (define @t91 () (@var "R" $$unsorted)) % 1.51/1.71 (define @t92 () (tptp.apply @t91 @t60 @t59)) % 1.51/1.71 (define @t93 () (and @t67 @t26 @t66 @t25 @t92 @t90 @t89)) % 1.51/1.71 (define @t94 () (@list @t60 @t18 @t59 @t17)) % 1.51/1.71 (define @t95 () (@list @t20 @t4 @t91 @t1 @t87)) % 1.51/1.71 (define @t96 () (tptp.identity (tptp.compose_function @t20 @t46 @t1 @t4 @t1) @t1)) % 1.51/1.71 (define @t97 () (tptp.identity (tptp.compose_function @t42 @t20 @t4 @t1 @t4) @t4)) % 1.51/1.71 (define @t98 () (tptp.maps @t46 @t1 @t4)) % 1.51/1.71 (define @t99 () (tptp.maps @t42 @t1 @t4)) % 1.51/1.71 (define @t100 () (and @t37 @t99 @t98 @t97 @t96)) % 1.51/1.71 (define @t101 () (@list @t20 @t42 @t46 @t4 @t1)) % 1.51/1.71 (define @t102 () (forall @t101 (=> @t100 @t84))) % 1.51/1.71 (define @t103 () (not @t102)) % 1.51/1.71 (define @t104 () (not @t43)) % 1.51/1.71 (define @t105 () (not @t30)) % 1.51/1.71 (define @t106 () (not @t31)) % 1.51/1.71 (define @t107 () (or @t106 @t105 @t104)) % 1.51/1.71 (define @t108 () (not (forall @t16 @t107))) % 1.51/1.71 (define @t109 () (= @t50 @t108)) % 1.51/1.71 (define @t110 () (not @t48)) % 1.51/1.71 (define @t111 () (not @t5)) % 1.51/1.71 (define @t112 () (forall @t16 (not @t44))) % 1.51/1.71 (define @t113 () (not @t112)) % 1.51/1.71 (define @t114 () (not @t96)) % 1.51/1.71 (define @t115 () (not @t97)) % 1.51/1.71 (define @t116 () (not @t98)) % 1.51/1.71 (define @t117 () (not @t99)) % 1.51/1.71 (define @t118 () (not @t37)) % 1.51/1.71 (define @t119 () (or @t118 @t117 @t116 @t115 @t114 @t84)) % 1.51/1.71 (define @t120 () (forall @t101 @t119)) % 1.51/1.71 (define @t121 () (@quantifiers_skolemize @t120 0)) % 1.51/1.71 (define @t122 () (@quantifiers_skolemize @t120 4)) % 1.51/1.71 (define @t123 () (not (tptp.member @t13 @t122))) % 1.51/1.71 (define @t124 () (@quantifiers_skolemize @t120 3)) % 1.51/1.71 (define @t125 () (forall @t69 (or (not (tptp.member @t60 @t124)) (not (tptp.member @t59 @t124)) @t123 (not (tptp.apply @t121 @t60 @t13)) (not (tptp.apply @t121 @t59 @t13)) @t61))) % 1.51/1.71 (define @t126 () (@quantifiers_skolemize @t125 0)) % 1.51/1.71 (define @t127 () (@quantifiers_skolemize @t120 1)) % 1.51/1.71 (define @t128 () (not @t62)) % 1.51/1.71 (define @t129 () (not @t63)) % 1.51/1.71 (define @t130 () (not @t66)) % 1.51/1.71 (define @t131 () (not @t67)) % 1.51/1.71 (define @t132 () (or @t129 @t128 @t61)) % 1.51/1.71 (define @t133 () (or @t131 @t130 @t106)) % 1.51/1.71 (define @t134 () (@list @t121 @t124 @t122)) % 1.51/1.71 (define @t135 () (not (forall @t77 (or (not @t75) (not @t74))))) % 1.51/1.71 (define @t136 () (forall @t77 (not @t76))) % 1.51/1.71 (define @t137 () (not @t136)) % 1.51/1.71 (define @t138 () (not (tptp.member @t11 @t124))) % 1.51/1.71 (define @t139 () (forall @t16 (or @t123 (not (forall @t77 (or @t138 (not (tptp.apply @t121 @t11 @t13)))))))) % 1.51/1.71 (define @t140 () (@quantifiers_skolemize @t139 0)) % 1.51/1.71 (define @t141 () (tptp.member @t140 @t122)) % 1.51/1.71 (define @t142 () (forall @t77 (or @t138 (not (tptp.apply @t121 @t11 @t140))))) % 1.51/1.71 (define @t143 () (not @t142)) % 1.51/1.71 (define @t144 () (not @t141)) % 1.51/1.71 (define @t145 () (or @t144 @t143)) % 1.51/1.71 (define @t146 () (@quantifiers_skolemize @t120 2)) % 1.51/1.71 (define @t147 () (tptp.compose_function @t121 @t146 @t122 @t124 @t122)) % 1.51/1.71 (define @t148 () (or @t118 @t117 @t116 @t115 @t114)) % 1.51/1.71 (define @t149 () (tptp.identity @t147 @t122)) % 1.51/1.71 (define @t150 () (tptp.one_to_one @t121 @t124 @t122)) % 1.51/1.71 (define @t151 () (not @t149)) % 1.51/1.71 (define @t152 () (tptp.compose_function @t127 @t121 @t124 @t122 @t124)) % 1.51/1.71 (define @t153 () (tptp.identity @t152 @t124)) % 1.51/1.71 (define @t154 () (not @t153)) % 1.51/1.71 (define @t155 () (tptp.maps @t127 @t122 @t124)) % 1.51/1.71 (define @t156 () (not @t155)) % 1.51/1.71 (define @t157 () (tptp.maps @t121 @t124 @t122)) % 1.51/1.71 (define @t158 () (not @t157)) % 1.51/1.71 (define @t159 () (or @t158 @t156 (not (tptp.maps @t146 @t122 @t124)) @t154 @t151 @t150)) % 1.51/1.71 (define @t160 () (@list true)) % 1.51/1.71 (define @t161 () (@list @t159)) % 1.51/1.71 (define @t162 () (not (tptp.member @t2 @t122))) % 1.51/1.71 (define @t163 () (forall @t6 (or @t162 (tptp.apply @t147 @t2 @t2)))) % 1.51/1.71 (define @t164 () (= @t149 @t163)) % 1.51/1.71 (define @t165 () (@list false false)) % 1.51/1.71 (define @t166 () (tptp.apply @t147 @t140 @t140)) % 1.51/1.71 (define @t167 () (or @t144 @t166)) % 1.51/1.71 (define @t168 () (not (tptp.member @t13 @t124))) % 1.51/1.71 (define @t169 () (forall @t16 (or @t168 (not (tptp.apply @t146 @t140 @t13)) (not (tptp.apply @t121 @t13 @t140))))) % 1.51/1.71 (define @t170 () (not @t169)) % 1.51/1.71 (define @t171 () (= @t166 @t170)) % 1.51/1.71 (define @t172 () (or @t144 @t144 @t171)) % 1.51/1.71 (define @t173 () (@quantifiers_skolemize @t169 0)) % 1.51/1.71 (define @t174 () (tptp.apply @t121 @t173 @t140)) % 1.51/1.71 (define @t175 () (not @t174)) % 1.51/1.71 (define @t176 () (tptp.member @t173 @t124)) % 1.51/1.71 (define @t177 () (not @t176)) % 1.51/1.71 (define @t178 () (or @t177 @t175)) % 1.51/1.71 (define @t179 () (or @t177 (not (tptp.apply @t146 @t140 @t173)) @t175)) % 1.51/1.71 (define @t180 () (not @t179)) % 1.51/1.71 (define @t181 () (not @t145)) % 1.51/1.71 (define @t182 () (not @t139)) % 1.51/1.71 (define @t183 () (@list false)) % 1.51/1.71 (define @t184 () (tptp.surjective @t121 @t124 @t122)) % 1.51/1.71 (define @t185 () (= @t184 @t139)) % 1.51/1.71 (define @t186 () (tptp.injective @t121 @t124 @t122)) % 1.51/1.71 (define @t187 () (and @t186 @t184)) % 1.51/1.71 (define @t188 () (= @t150 @t187)) % 1.51/1.71 (define @t189 () (not @t187)) % 1.51/1.71 (define @t190 () (@list true false)) % 1.51/1.71 (define @t191 () (= @t186 @t125)) % 1.51/1.71 (define @t192 () (not @t125)) % 1.51/1.71 (define @t193 () (@quantifiers_skolemize @t125 1)) % 1.51/1.71 (define @t194 () (= @t126 @t193)) % 1.51/1.71 (define @t195 () (@quantifiers_skolemize @t125 2)) % 1.51/1.71 (define @t196 () (tptp.apply @t121 @t193 @t195)) % 1.51/1.71 (define @t197 () (not @t196)) % 1.51/1.71 (define @t198 () (tptp.apply @t121 @t126 @t195)) % 1.51/1.71 (define @t199 () (not @t198)) % 1.51/1.71 (define @t200 () (tptp.member @t195 @t122)) % 1.51/1.71 (define @t201 () (not @t200)) % 1.51/1.71 (define @t202 () (tptp.member @t193 @t124)) % 1.51/1.71 (define @t203 () (not @t202)) % 1.51/1.71 (define @t204 () (tptp.member @t126 @t124)) % 1.51/1.71 (define @t205 () (not @t204)) % 1.51/1.71 (define @t206 () (or @t205 @t203 @t201 @t199 @t197 @t194)) % 1.51/1.71 (define @t207 () (not @t206)) % 1.51/1.71 (define @t208 () (@list @t206)) % 1.51/1.71 (define @t209 () (forall @t16 (or @t123 (not (tptp.apply @t121 @t126 @t13)) (not (tptp.apply @t127 @t13 @t126))))) % 1.51/1.71 (define @t210 () (not @t209)) % 1.51/1.71 (define @t211 () (tptp.apply @t152 @t126 @t126)) % 1.51/1.71 (define @t212 () (= @t211 @t210)) % 1.51/1.71 (define @t213 () (or @t205 @t205 @t212)) % 1.51/1.71 (define @t214 () (not (tptp.member @t2 @t124))) % 1.51/1.71 (define @t215 () (forall @t6 (or @t214 (tptp.apply @t152 @t2 @t2)))) % 1.51/1.71 (define @t216 () (= @t153 @t215)) % 1.51/1.71 (define @t217 () (or @t205 @t211)) % 1.51/1.71 (define @t218 () (@quantifiers_skolemize @t209 0)) % 1.51/1.71 (define @t219 () (tptp.apply @t127 @t218 @t126)) % 1.51/1.71 (define @t220 () (not @t219)) % 1.51/1.71 (define @t221 () (tptp.apply @t121 @t126 @t218)) % 1.51/1.71 (define @t222 () (not @t221)) % 1.51/1.71 (define @t223 () (tptp.member @t218 @t122)) % 1.51/1.71 (define @t224 () (not @t223)) % 1.51/1.71 (define @t225 () (or @t224 @t222 @t220)) % 1.51/1.71 (define @t226 () (not @t225)) % 1.51/1.71 (define @t227 () (@list @t225)) % 1.51/1.71 (define @t228 () (not @t21)) % 1.51/1.71 (define @t229 () (not @t22)) % 1.51/1.71 (define @t230 () (not @t25)) % 1.51/1.71 (define @t231 () (not @t26)) % 1.51/1.71 (define @t232 () (or @t229 @t228 @t19)) % 1.51/1.71 (define @t233 () (or @t111 @t231 @t230)) % 1.51/1.71 (define @t234 () (not (forall @t16 (or @t106 @t105)))) % 1.51/1.71 (define @t235 () (forall @t16 (not @t32))) % 1.51/1.71 (define @t236 () (not @t235)) % 1.51/1.71 (define @t237 () (forall @t28 (or @t162 (not (tptp.member @t18 @t124)) (not (tptp.member @t17 @t124)) (not (tptp.apply @t127 @t2 @t18)) (not (tptp.apply @t127 @t2 @t17)) @t19))) % 1.51/1.71 (define @t238 () (forall @t6 (or @t162 (not (forall @t16 (or @t168 (not (tptp.apply @t127 @t2 @t13)))))))) % 1.51/1.71 (define @t239 () (and @t238 @t237)) % 1.51/1.71 (define @t240 () (= @t155 @t239)) % 1.51/1.71 (define @t241 () (not @t239)) % 1.51/1.71 (define @t242 () (@list @t239)) % 1.51/1.71 (define @t243 () (forall @t16 (or @t123 (not (tptp.apply @t121 @t193 @t13)) (not (tptp.apply @t127 @t13 @t193))))) % 1.51/1.71 (define @t244 () (@quantifiers_skolemize @t243 0)) % 1.51/1.71 (define @t245 () (forall @t16 (or @t168 (not (tptp.apply @t127 @t244 @t13))))) % 1.51/1.71 (define @t246 () (@quantifiers_skolemize @t245 0)) % 1.51/1.71 (define @t247 () (not @t243)) % 1.51/1.71 (define @t248 () (tptp.apply @t152 @t193 @t193)) % 1.51/1.71 (define @t249 () (= @t248 @t247)) % 1.51/1.71 (define @t250 () (or @t203 @t203 @t249)) % 1.51/1.71 (define @t251 () (or @t203 @t248)) % 1.51/1.71 (define @t252 () (tptp.apply @t127 @t244 @t193)) % 1.51/1.71 (define @t253 () (not @t252)) % 1.51/1.71 (define @t254 () (tptp.apply @t121 @t193 @t244)) % 1.51/1.71 (define @t255 () (not @t254)) % 1.51/1.71 (define @t256 () (tptp.member @t244 @t122)) % 1.51/1.71 (define @t257 () (not @t256)) % 1.51/1.71 (define @t258 () (or @t257 @t255 @t253)) % 1.51/1.71 (define @t259 () (not @t258)) % 1.51/1.71 (define @t260 () (@list @t258)) % 1.51/1.71 (define @t261 () (not @t245)) % 1.51/1.71 (define @t262 () (or @t257 @t261)) % 1.51/1.71 (define @t263 () (tptp.apply @t127 @t244 @t246)) % 1.51/1.71 (define @t264 () (not @t263)) % 1.51/1.71 (define @t265 () (tptp.member @t246 @t124)) % 1.51/1.71 (define @t266 () (not @t265)) % 1.51/1.71 (define @t267 () (or @t266 @t264)) % 1.51/1.71 (define @t268 () (not @t267)) % 1.51/1.71 (define @t269 () (@list @t267)) % 1.51/1.71 (define @t270 () (= @t193 @t246)) % 1.51/1.71 (define @t271 () (or @t257 @t203 @t266 @t253 @t264 @t270)) % 1.51/1.71 (define @t272 () (@list false false false false false false)) % 1.51/1.71 (define @t273 () (forall @t28 (or @t214 (not (tptp.member @t18 @t122)) (not (tptp.member @t17 @t122)) (not (tptp.apply @t121 @t2 @t18)) (not (tptp.apply @t121 @t2 @t17)) @t19))) % 1.51/1.71 (define @t274 () (and (forall @t6 (or @t214 (not (forall @t16 (or @t123 (not (tptp.apply @t121 @t2 @t13))))))) @t273)) % 1.51/1.71 (define @t275 () (= @t157 @t274)) % 1.51/1.71 (define @t276 () (or @t203 @t257 @t201 @t255 @t197 (= @t244 @t195))) % 1.51/1.71 (define @t277 () (= @t195 @t244)) % 1.51/1.71 (define @t278 () (or @t203 @t257 @t201 @t255 @t197 @t277)) % 1.51/1.71 (define @t279 () (@list @t273)) % 1.51/1.71 (define @t280 () (tptp.apply @t127 @t195 @t193)) % 1.51/1.71 (define @t281 () (and @t263 @t277 @t270)) % 1.51/1.71 (define @t282 () (not @t280)) % 1.51/1.71 (define @t283 () (tptp.apply @t127 @t195 @t126)) % 1.51/1.71 (define @t284 () (not @t283)) % 1.51/1.71 (define @t285 () (or @t201 @t205 @t203 @t284 @t282 @t194)) % 1.51/1.71 (define @t286 () (or @t205 @t224 @t201 @t222 @t199 (= @t218 @t195))) % 1.51/1.71 (define @t287 () (= @t195 @t218)) % 1.51/1.71 (define @t288 () (or @t205 @t224 @t201 @t222 @t199 @t287)) % 1.51/1.71 (define @t289 () (not @t287)) % 1.51/1.71 (define @t290 () (and @t284 @t287 @t219)) % 1.51/1.71 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 1.51/1.71 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 1.51/1.71 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 1.51/1.71 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 1.51/1.71 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 1.51/1.71 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 1.51/1.71 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 1.51/1.71 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 1.51/1.71 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 1.51/1.71 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 1.51/1.71 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 1.51/1.71 (assume @p12 @t40) % 1.51/1.71 (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)))))) % 1.51/1.71 (assume @p14 @t53) % 1.51/1.71 (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)))))) % 1.51/1.71 (assume @p16 @t58) % 1.51/1.71 (assume @p17 @t73) % 1.51/1.71 (assume @p18 @t83) % 1.51/1.71 (assume @p19 (forall @t39 (= @t84 (and @t71 @t81)))) % 1.51/1.71 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t85 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 1.51/1.71 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t85 (= @t30 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 1.51/1.71 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t86))) % 1.51/1.71 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t86)))) % 1.51/1.71 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 1.51/1.71 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 1.51/1.71 (assume @p26 (forall @t95 (= (tptp.increasing @t20 @t4 @t91 @t1 @t87) (forall @t94 (=> @t93 @t88))))) % 1.51/1.71 (assume @p27 (forall @t95 (= (tptp.decreasing @t20 @t4 @t91 @t1 @t87) (forall @t94 (=> @t93 (tptp.apply @t87 @t17 @t18)))))) % 1.51/1.71 (assume @p28 (forall @t95 (= (tptp.isomorphism @t20 @t4 @t91 @t1 @t87) (and @t37 @t84 (forall @t94 (=> (and @t67 @t26 @t66 @t25 @t90 @t89) (= @t92 @t88))))))) % 1.51/1.71 (assume @p29 @t103) % 1.51/1.71 (assume @p30 true) % 1.51/1.71 (step @p31 :rule aci_norm :args ((= (or (or @t111 @t110) @t109) (or @t111 @t110 @t109)))) % 1.51/1.71 (step @p32 :rule refl :args (@t109)) % 1.51/1.71 (step @p33 :rule bool-and-de-morgan :args (@t5 @t48 true)) % 1.51/1.71 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t49) @t109))) % 1.51/1.71 (step @p35 :rule trans :premises (@p34 @p31)) % 1.51/1.71 (step @p36 :rule bool-impl-elim :args (@t49 @t109)) % 1.51/1.71 (step @p37 :rule trans :premises (@p36 @p35)) % 1.51/1.71 (step @p38 :rule cong :premises (@p37) :args ((forall @t52 (=> @t49 @t109)))) % 1.51/1.71 (step @p39 :rule eq-symm :args (@t108 @t50)) % 1.51/1.71 (step @p40 :rule refl :args (@t50)) % 1.51/1.71 (step @p41 :rule aci_norm :args ((= (or @t106 (or @t105 @t104)) @t107))) % 1.51/1.71 (step @p42 :rule bool-and-de-morgan :args (@t30 @t43 true)) % 1.51/1.71 (step @p43 :rule refl :args (@t106)) % 1.51/1.71 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t106 (not (and @t30 @t43))))) % 1.51/1.71 (step @p45 :rule bool-and-de-morgan :args (@t31 @t30 (and @t43))) % 1.51/1.71 (step @p46 :rule trans :premises (@p45 @p44)) % 1.51/1.71 (step @p47 :rule trans :premises (@p46 @p41)) % 1.51/1.71 (step @p48 :rule cong :premises (@p47) :args (@t112)) % 1.51/1.71 (step @p49 :rule cong :premises (@p48) :args (@t113)) % 1.51/1.71 (step @p50 :rule exists-elim :args ((= @t45 @t113))) % 1.51/1.71 (step @p51 :rule trans :premises (@p50 @p49)) % 1.51/1.71 (step @p52 :rule cong :premises (@p51 @p40) :args ((= @t45 @t50))) % 1.51/1.71 (step @p53 :rule trans :premises (@p52 @p39)) % 1.51/1.71 (step @p54 :rule eq-symm :args (@t50 @t45)) % 1.51/1.71 (step @p55 :rule trans :premises (@p54 @p53)) % 1.51/1.71 (step @p56 :rule refl :args (@t49)) % 1.51/1.71 (step @p57 :rule cong :premises (@p56 @p55) :args (@t51)) % 1.51/1.71 (step @p58 :rule cong :premises (@p57) :args (@t53)) % 1.51/1.71 (step @p59 :rule trans :premises (@p58 @p38)) % 1.51/1.71 (step @p60 :rule eq_resolve :premises (@p14 @p59)) % 1.51/1.71 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t127 @t121 @t124 @t122 @t124 @t126 @t126))) % 1.51/1.71 (step @p62 :rule aci_norm :args ((= (or @t133 @t132) (or @t131 @t130 @t106 @t129 @t128 @t61)))) % 1.51/1.71 (step @p63 :rule aci_norm :args ((= (or (or @t129 @t128) @t61) @t132))) % 1.51/1.71 (step @p64 :rule refl :args (@t61)) % 1.51/1.71 (step @p65 :rule bool-and-de-morgan :args (@t63 @t62 true)) % 1.51/1.71 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t64) @t61))) % 1.51/1.71 (step @p67 :rule trans :premises (@p66 @p63)) % 1.51/1.71 (step @p68 :rule bool-impl-elim :args (@t64 @t61)) % 1.51/1.71 (step @p69 :rule trans :premises (@p68 @p67)) % 1.51/1.71 (step @p70 :rule aci_norm :args ((= (or @t131 (or @t130 @t106)) @t133))) % 1.51/1.71 (step @p71 :rule bool-and-de-morgan :args (@t66 @t31 true)) % 1.51/1.71 (step @p72 :rule refl :args (@t131)) % 1.51/1.71 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t131 (not (and @t66 @t31))))) % 1.51/1.71 (step @p74 :rule bool-and-de-morgan :args (@t67 @t66 (and @t31))) % 1.51/1.71 (step @p75 :rule trans :premises (@p74 @p73)) % 1.51/1.71 (step @p76 :rule trans :premises (@p75 @p70)) % 1.51/1.71 (step @p77 :rule nary_cong :premises (@p76 @p69) :args ((or (not @t68) @t65))) % 1.51/1.71 (step @p78 :rule trans :premises (@p77 @p62)) % 1.51/1.71 (step @p79 :rule bool-impl-elim :args (@t68 @t65)) % 1.51/1.71 (step @p80 :rule trans :premises (@p79 @p78)) % 1.51/1.71 (step @p81 :rule cong :premises (@p80) :args (@t70)) % 1.51/1.71 (step @p82 :rule refl :args (@t71)) % 1.51/1.71 (step @p83 :rule cong :premises (@p82 @p81) :args (@t72)) % 1.51/1.71 (step @p84 :rule cong :premises (@p83) :args (@t73)) % 1.51/1.71 (step @p85 :rule eq_resolve :premises (@p17 @p84)) % 1.51/1.71 (step @p86 :rule instantiate :premises (@p85) :args (@t134)) % 1.51/1.71 (step @p87 :rule bool-impl-elim :args (@t31 @t135)) % 1.51/1.71 (step @p88 :rule cong :premises (@p87) :args ((forall @t16 (=> @t31 @t135)))) % 1.51/1.71 (step @p89 :rule bool-and-de-morgan :args (@t75 @t74 true)) % 1.51/1.71 (step @p90 :rule cong :premises (@p89) :args (@t136)) % 1.51/1.71 (step @p91 :rule cong :premises (@p90) :args (@t137)) % 1.51/1.71 (step @p92 :rule exists-elim :args ((= @t78 @t137))) % 1.51/1.71 (step @p93 :rule trans :premises (@p92 @p91)) % 1.51/1.71 (step @p94 :rule refl :args (@t31)) % 1.51/1.71 (step @p95 :rule cong :premises (@p94 @p93) :args (@t79)) % 1.51/1.71 (step @p96 :rule cong :premises (@p95) :args (@t80)) % 1.51/1.71 (step @p97 :rule trans :premises (@p96 @p88)) % 1.51/1.71 (step @p98 :rule refl :args (@t81)) % 1.51/1.71 (step @p99 :rule cong :premises (@p98 @p97) :args (@t82)) % 1.51/1.71 (step @p100 :rule cong :premises (@p99) :args (@t83)) % 1.51/1.71 (step @p101 :rule eq_resolve :premises (@p18 @p100)) % 1.51/1.71 (step @p102 :rule instantiate :premises (@p101) :args (@t134)) % 1.51/1.71 (step @p103 :rule bool-double-not-elim :args (@t141)) % 1.51/1.71 (step @p104 :rule refl :args (@t145)) % 1.51/1.71 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t145 (not @t144)))) % 1.51/1.71 (step @p106 :rule cnf_or_neg :args (@t145 0)) % 1.51/1.71 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 1.51/1.71 (step @p108 :rule reordering :premises (@p107) :args ((or @t141 @t145))) % 1.51/1.71 (step @p109 :rule bool-double-not-elim :args (@t142)) % 1.51/1.71 (step @p110 :rule nary_cong :premises (@p104 @p109) :args ((or @t145 (not @t143)))) % 1.51/1.71 (step @p111 :rule cnf_or_neg :args (@t145 1)) % 1.51/1.71 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 1.51/1.71 (step @p113 :rule reordering :premises (@p112) :args ((or @t142 @t145))) % 1.51/1.71 (step @p114 :rule bool-impl-elim :args (@t5 @t54)) % 1.51/1.71 (step @p115 :rule cong :premises (@p114) :args (@t55)) % 1.51/1.71 (step @p116 :rule refl :args (@t56)) % 1.51/1.71 (step @p117 :rule cong :premises (@p116 @p115) :args (@t57)) % 1.51/1.71 (step @p118 :rule cong :premises (@p117) :args (@t58)) % 1.51/1.71 (step @p119 :rule eq_resolve :premises (@p16 @p118)) % 1.51/1.71 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t147 @t122))) % 1.51/1.71 (step @p121 :rule aci_norm :args ((= (or @t148 @t84) @t119))) % 1.51/1.71 (step @p122 :rule refl :args (@t84)) % 1.51/1.71 (step @p123 :rule aci_norm :args ((= (or @t118 (or @t117 (or @t116 (or @t115 @t114)))) @t148))) % 1.51/1.71 (step @p124 :rule bool-and-de-morgan :args (@t97 @t96 true)) % 1.51/1.71 (step @p125 :rule refl :args (@t116)) % 1.51/1.71 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t116 (not (and @t97 @t96))))) % 1.51/1.71 (step @p127 :rule bool-and-de-morgan :args (@t98 @t97 (and @t96))) % 1.51/1.71 (step @p128 :rule trans :premises (@p127 @p126)) % 1.51/1.71 (step @p129 :rule refl :args (@t117)) % 1.51/1.71 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t117 (not (and @t98 @t97 @t96))))) % 1.51/1.71 (step @p131 :rule bool-and-de-morgan :args (@t99 @t98 (and @t97 @t96))) % 1.51/1.71 (step @p132 :rule trans :premises (@p131 @p130)) % 1.51/1.71 (step @p133 :rule refl :args (@t118)) % 1.51/1.71 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t118 (not (and @t99 @t98 @t97 @t96))))) % 1.51/1.71 (step @p135 :rule bool-and-de-morgan :args (@t37 @t99 (and @t98 @t97 @t96))) % 1.51/1.71 (step @p136 :rule trans :premises (@p135 @p134)) % 1.51/1.71 (step @p137 :rule trans :premises (@p136 @p123)) % 1.51/1.71 (step @p138 :rule nary_cong :premises (@p137 @p122) :args ((or (not @t100) @t84))) % 1.51/1.71 (step @p139 :rule trans :premises (@p138 @p121)) % 1.51/1.71 (step @p140 :rule bool-impl-elim :args (@t100 @t84)) % 1.51/1.71 (step @p141 :rule trans :premises (@p140 @p139)) % 1.51/1.71 (step @p142 :rule cong :premises (@p141) :args (@t102)) % 1.51/1.71 (step @p143 :rule cong :premises (@p142) :args (@t103)) % 1.51/1.71 (step @p144 :rule eq_resolve :premises (@p29 @p143)) % 1.51/1.71 (step @p145 :rule skolemize :premises (@p144)) % 1.51/1.71 (step @p146 :rule bool-double-not-elim :args (@t149)) % 1.51/1.71 (step @p147 :rule refl :args (@t159)) % 1.51/1.71 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t159 (not @t151)))) % 1.51/1.71 (step @p149 :rule cnf_or_neg :args (@t159 4)) % 1.51/1.71 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 1.51/1.71 (step @p151 :rule reordering 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(@p369)) % 1.51/1.72 (step @p370 :rule process_scope :premises (@p559) :args (@t268)) % 1.51/1.72 (step @p372 :rule implies_elim :premises (@p370)) % 1.51/1.72 (step @p373 :rule eq_resolve :premises (@p372 @p367)) % 1.51/1.72 (step @p374 :rule chain_m_resolution :premises (@p373 @p364) :args (@t268 @t160 (@list @t245))) % 1.51/1.72 (step @p375 :rule bool-double-not-elim :args (@t263)) % 1.51/1.72 (step @p376 :rule refl :args (@t267)) % 1.51/1.72 (step @p377 :rule nary_cong :premises (@p376 @p375) :args ((or @t267 (not @t264)))) % 1.51/1.72 (step @p378 :rule cnf_or_neg :args (@t267 1)) % 1.51/1.72 (step @p379 :rule eq_resolve :premises (@p378 @p377)) % 1.51/1.72 (step @p380 :rule reordering :premises (@p379) :args ((or @t263 @t267))) % 1.51/1.72 (step @p381 :rule chain_m_resolution :premises (@p380 @p374) :args (@t263 @t160 @t269)) % 1.51/1.72 (step @p382 :rule bool-double-not-elim :args (@t265)) % 1.51/1.72 (step @p383 :rule nary_cong :premises (@p376 @p382) :args ((or @t267 (not @t266)))) % 1.51/1.72 (step @p384 :rule cnf_or_neg :args (@t267 0)) % 1.51/1.72 (step @p385 :rule eq_resolve :premises (@p384 @p383)) % 1.51/1.72 (step @p386 :rule reordering :premises (@p385) :args ((or @t265 @t267))) % 1.51/1.72 (step @p387 :rule chain_m_resolution :premises (@p386 @p374) :args (@t265 @t160 @t269)) % 1.51/1.72 (step @p388 :rule bool-double-not-elim :args (@t252)) % 1.51/1.72 (step @p389 :rule nary_cong :premises (@p356 @p388) :args ((or @t258 (not @t253)))) % 1.51/1.72 (step @p390 :rule cnf_or_neg :args (@t258 2)) % 1.51/1.72 (step @p391 :rule eq_resolve :premises (@p390 @p389)) % 1.51/1.72 (step @p392 :rule reordering :premises (@p391) :args ((or @t252 @t258))) % 1.51/1.72 (step @p393 :rule chain_m_resolution :premises (@p392 @p354) :args (@t252 @t160 @t260)) % 1.51/1.72 (step @p394 :rule cnf_or_pos :args (@t271)) % 1.51/1.72 (step @p395 :rule reordering :premises (@p394) :args ((or @t203 @t257 @t253 @t266 @t264 @t270 (not @t271)))) % 1.51/1.72 (step @p396 :rule 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cnf_and_pos :args (@t274 1)) % 1.51/1.72 (step @p408 :rule reordering :premises (@p407) :args ((or @t273 (not @t274)))) % 1.51/1.72 (step @p409 :rule chain_m_resolution :premises (@p408 @p406) :args (@t273 @t183 (@list @t274))) % 1.51/1.72 (step @p410 :rule eq-symm :args (@t244 @t195)) % 1.51/1.72 (step @p411 :rule refl :args (@t197)) % 1.51/1.72 (step @p412 :rule refl :args (@t255)) % 1.51/1.72 (step @p413 :rule refl :args (@t201)) % 1.51/1.72 (step @p414 :rule refl :args (@t257)) % 1.51/1.72 (step @p415 :rule refl :args (@t203)) % 1.51/1.72 (step @p416 :rule nary_cong :premises (@p415 @p414 @p413 @p412 @p411 @p410) :args (@t276)) % 1.51/1.72 (step @p417 :rule refl :args (@t273)) % 1.51/1.72 (step @p418 :rule cong :premises (@p417 @p416) :args ((=> @t273 @t276))) % 1.51/1.72 (assume-push @p560 @t273) % 1.51/1.72 (step @p420 :rule instantiate :premises (@p409) :args ((@list @t193 @t244 @t195))) % 1.51/1.72 (step-pop @p561 :rule scope :premises (@p420)) % 1.51/1.72 (step @p421 :rule process_scope :premises (@p561) :args (@t276)) % 1.51/1.72 (step @p423 :rule eq_resolve :premises (@p421 @p418)) % 1.51/1.72 (step @p424 :rule implies_elim :premises (@p423)) % 1.51/1.72 (step @p425 :rule chain_m_resolution :premises (@p424 @p409) :args (@t278 @t183 @t279)) % 1.51/1.72 (step @p426 :rule bool-double-not-elim :args (@t254)) % 1.51/1.72 (step @p427 :rule nary_cong :premises (@p356 @p426) :args ((or @t258 (not @t255)))) % 1.51/1.72 (step @p428 :rule cnf_or_neg :args (@t258 1)) % 1.51/1.72 (step @p429 :rule eq_resolve :premises (@p428 @p427)) % 1.51/1.72 (step @p430 :rule reordering :premises (@p429) :args ((or @t254 @t258))) % 1.51/1.72 (step @p431 :rule chain_m_resolution :premises (@p430 @p354) :args (@t254 @t160 @t260)) % 1.51/1.72 (step @p432 :rule bool-double-not-elim :args (@t196)) % 1.51/1.72 (step @p433 :rule nary_cong :premises (@p228 @p432) :args ((or @t206 (not @t197)))) % 1.51/1.72 (step @p434 :rule cnf_or_neg :args (@t206 4)) % 1.51/1.72 (step @p435 :rule eq_resolve :premises (@p434 @p433)) % 1.51/1.72 (step @p436 :rule reordering :premises (@p435) :args ((or @t196 @t206))) % 1.51/1.72 (step @p437 :rule chain_m_resolution :premises (@p436 @p226) :args (@t196 @t160 @t208)) % 1.51/1.72 (step @p438 :rule bool-double-not-elim :args (@t200)) % 1.51/1.72 (step @p439 :rule nary_cong :premises (@p228 @p438) :args ((or @t206 (not @t201)))) % 1.51/1.72 (step @p440 :rule cnf_or_neg :args (@t206 2)) % 1.51/1.72 (step @p441 :rule eq_resolve :premises (@p440 @p439)) % 1.51/1.72 (step @p442 :rule reordering :premises (@p441) :args ((or @t200 @t206))) % 1.51/1.72 (step @p443 :rule chain_m_resolution :premises (@p442 @p226) :args (@t200 @t160 @t208)) % 1.51/1.72 (step @p444 :rule cnf_or_pos :args (@t278)) % 1.51/1.72 (step @p445 :rule reordering :premises (@p444) :args ((or @t203 @t201 @t197 @t257 @t255 @t277 (not @t278)))) % 1.51/1.72 (step @p446 :rule chain_m_resolution :premises (@p445 @p333 @p443 @p437 @p361 @p431 @p425) :args (@t277 @t272 (@list @t202 @t200 @t196 @t256 @t254 @t278))) % 1.51/1.72 (assume-push @p562 @t263) % 1.51/1.72 (assume-push @p563 @t277) % 1.51/1.72 (assume-push @p564 @t270) % 1.51/1.72 (assume-push @p565 @t263) % 1.51/1.72 (assume-push @p566 @t277) % 1.51/1.72 (assume-push @p567 @t270) % 1.51/1.72 (step @p453 :rule true_intro :premises (@p562)) % 1.51/1.72 (step @p454 :rule refl :args (@t127)) % 1.51/1.72 (step @p455 :rule cong :premises (@p454 @p563 @p564) :args (@t280)) % 1.51/1.72 (step @p456 :rule trans :premises (@p455 @p453)) % 1.51/1.72 (step @p457 :rule true_elim :premises (@p456)) % 1.51/1.72 (step-pop @p568 :rule scope :premises (@p457)) % 1.51/1.72 (step-pop @p569 :rule scope :premises (@p568)) % 1.51/1.72 (step-pop @p570 :rule scope :premises (@p569)) % 1.51/1.72 (step @p458 :rule process_scope :premises (@p570) :args (@t280)) % 1.51/1.72 (step @p462 :rule and_intro :premises (@p562 @p563 @p564)) % 1.51/1.72 (step @p463 :rule modus_ponens :premises (@p462 @p458)) % 1.51/1.72 (step-pop @p571 :rule scope :premises (@p463)) % 1.51/1.72 (step-pop @p572 :rule scope :premises (@p571)) % 1.51/1.72 (step-pop @p573 :rule scope :premises (@p572)) % 1.51/1.72 (step @p464 :rule process_scope :premises (@p573) :args (@t280)) % 1.51/1.72 (step @p468 :rule implies_elim :premises (@p464)) % 1.51/1.72 (step @p469 :rule cnf_and_neg :args (@t281)) % 1.51/1.72 (step @p470 :rule resolution :premises (@p469 @p468) :args (true @t281)) % 1.51/1.72 (step @p471 :rule reordering :premises (@p470) :args ((or @t280 @t264 (not @t277) (not @t270)))) % 1.51/1.72 (step @p472 :rule chain_m_resolution :premises (@p471 @p381 @p446 @p396) :args (@t280 (@list false false false) (@list @t263 @t277 @t270))) % 1.51/1.72 (step @p473 :rule cnf_or_neg :args (@t206 5)) % 1.51/1.72 (step @p474 :rule chain_m_resolution :premises (@p473 @p226) :args ((not @t194) @t160 @t208)) % 1.51/1.72 (step @p475 :rule cnf_or_pos :args (@t285)) % 1.51/1.72 (step @p476 :rule reordering :premises (@p475) :args ((or @t205 @t203 @t201 @t194 @t284 @t282 (not @t285)))) % 1.51/1.72 (step @p477 :rule chain_m_resolution :premises (@p476 @p233 @p333 @p443 @p474 @p472 @p321) :args (@t284 (@list false false false true false false) (@list @t204 @t202 @t200 @t194 @t280 @t285))) % 1.51/1.72 (step @p478 :rule eq-symm :args (@t218 @t195)) % 1.51/1.72 (step @p479 :rule refl :args (@t199)) % 1.51/1.72 (step @p480 :rule refl :args (@t222)) % 1.51/1.72 (step @p481 :rule refl :args (@t224)) % 1.51/1.72 (step @p482 :rule refl :args (@t205)) % 1.51/1.72 (step @p483 :rule nary_cong :premises (@p482 @p481 @p413 @p480 @p479 @p478) :args (@t286)) % 1.51/1.72 (step @p484 :rule cong :premises (@p417 @p483) :args ((=> @t273 @t286))) % 1.51/1.72 (assume-push @p574 @t273) % 1.51/1.72 (step @p486 :rule instantiate :premises (@p409) :args ((@list @t126 @t218 @t195))) % 1.51/1.72 (step-pop @p575 :rule scope :premises (@p486)) % 1.51/1.72 (step @p487 :rule process_scope :premises (@p575) :args (@t286)) % 1.51/1.72 (step @p489 :rule eq_resolve :premises (@p487 @p484)) % 1.51/1.72 (step @p490 :rule implies_elim :premises (@p489)) % 1.51/1.72 (step @p491 :rule chain_m_resolution :premises (@p490 @p409) :args (@t288 @t183 @t279)) % 1.51/1.72 (step @p492 :rule bool-double-not-elim :args (@t221)) % 1.51/1.72 (step @p493 :rule nary_cong :premises (@p266 @p492) :args ((or @t225 (not @t222)))) % 1.51/1.72 (step @p494 :rule cnf_or_neg :args (@t225 1)) % 1.51/1.72 (step @p495 :rule eq_resolve :premises (@p494 @p493)) % 1.51/1.72 (step @p496 :rule reordering :premises (@p495) :args ((or @t221 @t225))) % 1.51/1.72 (step @p497 :rule chain_m_resolution :premises (@p496 @p264) :args (@t221 @t160 @t227)) % 1.51/1.72 (step @p498 :rule bool-double-not-elim :args (@t223)) % 1.51/1.72 (step @p499 :rule nary_cong :premises (@p266 @p498) :args ((or @t225 (not @t224)))) % 1.51/1.72 (step @p500 :rule cnf_or_neg :args (@t225 0)) % 1.51/1.72 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 1.51/1.72 (step @p502 :rule reordering :premises (@p501) :args ((or @t223 @t225))) % 1.51/1.72 (step @p503 :rule chain_m_resolution :premises (@p502 @p264) :args (@t223 @t160 @t227)) % 1.51/1.72 (step @p504 :rule bool-double-not-elim :args (@t198)) % 1.51/1.72 (step @p505 :rule nary_cong :premises (@p228 @p504) :args ((or @t206 (not @t199)))) % 1.51/1.72 (step @p506 :rule cnf_or_neg :args (@t206 3)) % 1.51/1.72 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 1.51/1.72 (step @p508 :rule reordering :premises (@p507) :args ((or @t198 @t206))) % 1.51/1.72 (step @p509 :rule chain_m_resolution :premises (@p508 @p226) :args (@t198 @t160 @t208)) % 1.51/1.72 (step @p510 :rule cnf_or_pos :args (@t288)) % 1.51/1.72 (step @p511 :rule reordering :premises (@p510) :args ((or @t205 @t201 @t199 @t224 @t222 @t287 (not @t288)))) % 1.51/1.72 (step @p512 :rule chain_m_resolution :premises (@p511 @p233 @p443 @p509 @p503 @p497 @p491) :args (@t287 @t272 (@list @t204 @t200 @t198 @t223 @t221 @t288))) % 1.51/1.72 (step @p513 :rule refl :args (@t289)) % 1.51/1.72 (step @p514 :rule refl :args (@t220)) % 1.51/1.72 (step @p515 :rule bool-double-not-elim :args (@t283)) % 1.51/1.72 (step @p516 :rule nary_cong :premises (@p515 @p514 @p513) :args ((or (not @t284) @t220 @t289))) % 1.51/1.72 (assume-push @p576 @t284) % 1.51/1.72 (assume-push @p577 @t287) % 1.51/1.72 (assume-push @p578 @t219) % 1.51/1.72 (step @p520 :rule evaluate :args ((= true false))) % 1.51/1.72 (step @p521 :rule false_intro :premises (@p576)) % 1.51/1.72 (step @p522 :rule refl :args (@t126)) % 1.51/1.72 (step @p523 :rule symm :premises (@p577)) % 1.51/1.72 (step @p454 :rule refl :args (@t127)) % 1.51/1.72 (step @p524 :rule cong :premises (@p454 @p523 @p522) :args (@t219)) % 1.51/1.72 (step @p525 :rule true_intro :premises (@p578)) % 1.51/1.72 (step @p526 :rule symm :premises (@p525)) % 1.51/1.72 (step @p527 :rule trans :premises (@p526 @p524 @p521)) % 1.51/1.72 (step @p528 false :rule eq_resolve :premises (@p527 @p520)) % 1.51/1.72 (step-pop @p579 :rule scope :premises (@p528)) % 1.51/1.72 (step-pop @p580 :rule scope :premises (@p579)) % 1.51/1.72 (step-pop @p581 :rule scope :premises (@p580)) % 1.51/1.72 (step @p529 :rule process_scope :premises (@p581) :args (false)) % 1.51/1.72 (assume-push @p582 @t284) % 1.51/1.72 (assume-push @p583 @t219) % 1.51/1.72 (assume-push @p584 @t287) % 1.51/1.72 (step @p536 :rule and_intro :premises (@p582 @p584 @p583)) % 1.51/1.72 (step-pop @p585 :rule scope :premises (@p536)) % 1.51/1.72 (step-pop @p586 :rule scope :premises (@p585)) % 1.51/1.72 (step-pop @p587 :rule scope :premises (@p586)) % 1.51/1.72 (step @p537 :rule process_scope :premises (@p587) :args (@t290)) % 1.51/1.72 (step @p541 :rule implies_elim :premises (@p537)) % 1.51/1.72 (step @p542 :rule resolution :premises (@p541 @p529) :args (true @t290)) % 1.51/1.72 (step @p543 :rule not_and :premises (@p542)) % 1.51/1.72 (step @p544 :rule eq_resolve :premises (@p543 @p516)) % 1.51/1.72 (step @p545 false :rule chain_m_resolution :premises (@p544 @p512 @p477 @p271) :args (false (@list false true false) (@list @t287 @t283 @t219))) % 1.51/1.72 ) % 1.51/1.72 % SZS output end Proof % 1.51/1.72 % cvc5 exiting %------------------------------------------------------------------------------