%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET732+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 08:48:32 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET732+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.34 % Computer : n021.cluster.edu % 0.19/0.34 % Model : x86_64 x86_64 % 0.19/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.34 % Memory : 8042.1875MB % 0.19/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.34 % CPULimit : 300 % 0.19/0.34 % WCLimit : 300 % 0.19/0.34 % DateTime : Tue Jun 2 16:11:35 EDT 2026 % 0.19/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort $$unsorted 0) % 0.39/0.62 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.empty_set $$unsorted) % 0.39/0.62 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.62 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.62 (define @t3 () (tptp.member @t2 @t1)) % 0.39/0.62 (define @t4 () (@var "A" $$unsorted)) % 0.39/0.62 (define @t5 () (tptp.member @t2 @t4)) % 0.39/0.62 (define @t6 () (@list @t2)) % 0.39/0.62 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.39/0.62 (define @t8 () (tptp.subset @t4 @t1)) % 0.39/0.62 (define @t9 () (= @t8 @t7)) % 0.39/0.62 (define @t10 () (@list @t4 @t1)) % 0.39/0.62 (define @t11 () (forall @t10 @t9)) % 0.39/0.62 (define @t12 () (@list @t2 @t4)) % 0.39/0.62 (define @t13 () (@list @t2 @t4 @t1)) % 0.39/0.62 (define @t14 () (@var "E" $$unsorted)) % 0.39/0.62 (define @t15 () (= @t2 @t4)) % 0.39/0.62 (define @t16 () (@var "Y" $$unsorted)) % 0.39/0.62 (define @t17 () (tptp.member @t2 @t16)) % 0.39/0.62 (define @t18 () (tptp.member @t16 @t4)) % 0.39/0.62 (define @t19 () (@list @t16)) % 0.39/0.62 (define @t20 () (@var "Y2" $$unsorted)) % 0.39/0.62 (define @t21 () (@var "Y1" $$unsorted)) % 0.39/0.62 (define @t22 () (= @t21 @t20)) % 0.39/0.62 (define @t23 () (@var "F" $$unsorted)) % 0.39/0.62 (define @t24 () (tptp.apply @t23 @t2 @t21)) % 0.39/0.62 (define @t25 () (tptp.member @t20 @t1)) % 0.39/0.62 (define @t26 () (tptp.member @t21 @t1)) % 0.39/0.62 (define @t27 () (and @t5 @t26 @t25)) % 0.39/0.62 (define @t28 () (@list @t2 @t21 @t20)) % 0.39/0.62 (define @t29 () (tptp.apply @t23 @t2 @t16)) % 0.39/0.62 (define @t30 () (tptp.member @t16 @t1)) % 0.39/0.62 (define @t31 () (exists @t19 (and @t30 @t29))) % 0.39/0.62 (define @t32 () (tptp.maps @t23 @t4 @t1)) % 0.39/0.62 (define @t33 () (@list @t23 @t4 @t1)) % 0.39/0.62 (define @t34 () (@var "Z" $$unsorted)) % 0.39/0.62 (define @t35 () (@var "G" $$unsorted)) % 0.39/0.62 (define @t36 () (exists @t19 (and @t30 @t29 (tptp.apply @t35 @t16 @t34)))) % 0.39/0.62 (define @t37 () (@var "H" $$unsorted)) % 0.39/0.62 (define @t38 () (@var "C" $$unsorted)) % 0.39/0.62 (define @t39 () (and @t5 (tptp.member @t34 @t38))) % 0.39/0.62 (define @t40 () (@list @t23 @t35 @t4 @t1)) % 0.39/0.62 (define @t41 () (@var "X2" $$unsorted)) % 0.39/0.62 (define @t42 () (@var "X1" $$unsorted)) % 0.39/0.62 (define @t43 () (= @t42 @t41)) % 0.39/0.62 (define @t44 () (tptp.apply @t23 @t41 @t16)) % 0.39/0.62 (define @t45 () (tptp.apply @t23 @t42 @t16)) % 0.39/0.62 (define @t46 () (and @t45 @t44)) % 0.39/0.62 (define @t47 () (=> @t46 @t43)) % 0.39/0.62 (define @t48 () (tptp.member @t41 @t4)) % 0.39/0.62 (define @t49 () (tptp.member @t42 @t4)) % 0.39/0.62 (define @t50 () (and @t49 @t48 @t30)) % 0.39/0.62 (define @t51 () (@list @t42 @t41 @t16)) % 0.39/0.62 (define @t52 () (forall @t51 (=> @t50 @t47))) % 0.39/0.62 (define @t53 () (tptp.injective @t23 @t4 @t1)) % 0.39/0.62 (define @t54 () (= @t53 @t52)) % 0.39/0.62 (define @t55 () (forall @t33 @t54)) % 0.39/0.62 (define @t56 () (tptp.apply @t23 @t14 @t16)) % 0.39/0.62 (define @t57 () (tptp.member @t14 @t4)) % 0.39/0.62 (define @t58 () (and @t57 @t56)) % 0.39/0.62 (define @t59 () (@list @t14)) % 0.39/0.62 (define @t60 () (exists @t59 @t58)) % 0.39/0.62 (define @t61 () (=> @t30 @t60)) % 0.39/0.62 (define @t62 () (forall @t19 @t61)) % 0.39/0.62 (define @t63 () (tptp.surjective @t23 @t4 @t1)) % 0.39/0.62 (define @t64 () (= @t63 @t62)) % 0.39/0.62 (define @t65 () (forall @t33 @t64)) % 0.39/0.62 (define @t66 () (tptp.one_to_one @t23 @t4 @t1)) % 0.39/0.62 (define @t67 () (and @t5 @t30)) % 0.39/0.62 (define @t68 () (@list @t2 @t16)) % 0.39/0.62 (define @t69 () (and @t5 @t29)) % 0.39/0.62 (define @t70 () (exists @t6 @t69)) % 0.39/0.62 (define @t71 () (tptp.image2 @t23 @t4)) % 0.39/0.62 (define @t72 () (tptp.member @t16 @t71)) % 0.39/0.62 (define @t73 () (= @t72 @t70)) % 0.39/0.62 (define @t74 () (forall (@list @t23 @t4 @t16) @t73)) % 0.39/0.62 (define @t75 () (@var "S" $$unsorted)) % 0.39/0.62 (define @t76 () (tptp.apply @t75 @t21 @t20)) % 0.39/0.62 (define @t77 () (tptp.apply @t23 @t41 @t20)) % 0.39/0.62 (define @t78 () (tptp.apply @t23 @t42 @t21)) % 0.39/0.62 (define @t79 () (@var "R" $$unsorted)) % 0.39/0.62 (define @t80 () (tptp.apply @t79 @t42 @t41)) % 0.39/0.62 (define @t81 () (and @t49 @t26 @t48 @t25 @t80 @t78 @t77)) % 0.39/0.62 (define @t82 () (@list @t42 @t21 @t41 @t20)) % 0.39/0.62 (define @t83 () (@list @t23 @t4 @t79 @t1 @t75)) % 0.39/0.62 (define @t84 () (tptp.one_to_one @t35 @t4 @t38)) % 0.39/0.62 (define @t85 () (tptp.apply @t35 @t2 @t16)) % 0.39/0.62 (define @t86 () (tptp.member @t16 @t38)) % 0.39/0.62 (define @t87 () (and @t5 @t86)) % 0.39/0.62 (define @t88 () (=> @t87 (= @t85 @t29))) % 0.39/0.62 (define @t89 () (forall @t68 @t88)) % 0.39/0.62 (define @t90 () (tptp.subset @t38 @t1)) % 0.39/0.62 (define @t91 () (and @t32 @t90 (= @t71 @t38) @t89 @t53)) % 0.39/0.62 (define @t92 () (=> @t91 @t84)) % 0.39/0.62 (define @t93 () (@list @t23 @t35 @t4 @t1 @t38)) % 0.39/0.62 (define @t94 () (forall @t93 @t92)) % 0.39/0.62 (define @t95 () (not @t94)) % 0.39/0.62 (define @t96 () (not @t44)) % 0.39/0.62 (define @t97 () (not @t45)) % 0.39/0.62 (define @t98 () (not @t30)) % 0.39/0.62 (define @t99 () (not @t48)) % 0.39/0.62 (define @t100 () (not @t49)) % 0.39/0.62 (define @t101 () (or @t97 @t96 @t43)) % 0.39/0.62 (define @t102 () (or @t100 @t99 @t98)) % 0.39/0.62 (define @t103 () (tptp.one_to_one @t35 @t4 @t71)) % 0.39/0.62 (define @t104 () (not @t53)) % 0.39/0.62 (define @t105 () (= @t29 @t85)) % 0.39/0.62 (define @t106 () (not @t5)) % 0.39/0.62 (define @t107 () (not (forall @t68 (or @t106 (not @t72) @t105)))) % 0.39/0.62 (define @t108 () (not (tptp.subset @t71 @t1))) % 0.39/0.62 (define @t109 () (not @t32)) % 0.39/0.62 (define @t110 () (or @t109 @t108 @t107 @t104 @t103)) % 0.39/0.62 (define @t111 () (forall @t40 @t110)) % 0.39/0.62 (define @t112 () (@quantifiers_skolemize @t111 2)) % 0.39/0.62 (define @t113 () (@quantifiers_skolemize @t111 0)) % 0.39/0.62 (define @t114 () (tptp.image2 @t113 @t112)) % 0.39/0.62 (define @t115 () (@quantifiers_skolemize @t111 1)) % 0.39/0.62 (define @t116 () (@list @t115 @t112 @t114)) % 0.39/0.62 (define @t117 () (not (forall @t59 (or (not @t57) (not @t56))))) % 0.39/0.62 (define @t118 () (forall @t59 (not @t58))) % 0.39/0.62 (define @t119 () (not @t118)) % 0.39/0.62 (define @t120 () (not (tptp.member @t14 @t112))) % 0.39/0.62 (define @t121 () (not (tptp.member @t16 @t114))) % 0.39/0.62 (define @t122 () (forall @t19 (or @t121 (not (forall @t59 (or @t120 (not (tptp.apply @t115 @t14 @t16)))))))) % 0.39/0.62 (define @t123 () (@quantifiers_skolemize @t122 0)) % 0.39/0.62 (define @t124 () (tptp.member @t123 @t114)) % 0.39/0.62 (define @t125 () (forall @t59 (or @t120 (not (tptp.apply @t115 @t14 @t123))))) % 0.39/0.62 (define @t126 () (not @t125)) % 0.39/0.62 (define @t127 () (not @t124)) % 0.39/0.62 (define @t128 () (or @t127 @t126)) % 0.39/0.62 (define @t129 () (forall @t6 (not @t69))) % 0.39/0.62 (define @t130 () (not @t129)) % 0.39/0.62 (define @t131 () (not (tptp.member @t2 @t112))) % 0.39/0.62 (define @t132 () (forall @t6 (or @t131 (not (tptp.apply @t113 @t2 @t123))))) % 0.39/0.62 (define @t133 () (not @t132)) % 0.39/0.62 (define @t134 () (= @t124 @t133)) % 0.39/0.62 (define @t135 () (@quantifiers_skolemize @t132 0)) % 0.39/0.62 (define @t136 () (tptp.apply @t115 @t135 @t123)) % 0.39/0.62 (define @t137 () (not @t136)) % 0.39/0.62 (define @t138 () (tptp.member @t135 @t112)) % 0.39/0.62 (define @t139 () (not @t138)) % 0.39/0.62 (define @t140 () (or @t139 @t137)) % 0.39/0.62 (define @t141 () (tptp.apply @t113 @t135 @t123)) % 0.39/0.62 (define @t142 () (not @t141)) % 0.39/0.62 (define @t143 () (or @t139 @t142)) % 0.39/0.62 (define @t144 () (not @t143)) % 0.39/0.62 (define @t145 () (not (= @t71 @t71))) % 0.39/0.62 (define @t146 () (or @t109 @t108 @t145 @t107 @t104 @t103)) % 0.39/0.62 (define @t147 () (not @t86)) % 0.39/0.62 (define @t148 () (or @t106 @t147 @t105)) % 0.39/0.62 (define @t149 () (forall @t68 @t148)) % 0.39/0.62 (define @t150 () (not @t149)) % 0.39/0.62 (define @t151 () (= @t38 @t71)) % 0.39/0.62 (define @t152 () (not @t151)) % 0.39/0.62 (define @t153 () (not @t90)) % 0.39/0.62 (define @t154 () (or @t152 @t109 @t153 @t152 @t150 @t104 @t84)) % 0.39/0.62 (define @t155 () (@list @t38)) % 0.39/0.62 (define @t156 () (or @t109 @t153 @t152 @t150 @t104 @t84)) % 0.39/0.62 (define @t157 () (forall @t155 @t156)) % 0.39/0.62 (define @t158 () (forall @t40 @t157)) % 0.39/0.62 (define @t159 () (or @t109 @t153 @t152 @t150 @t104)) % 0.39/0.62 (define @t160 () (and @t32 @t90 @t151 @t149 @t53)) % 0.39/0.62 (define @t161 () (forall @t68 (or @t131 @t121 (= (tptp.apply @t113 @t2 @t16) (tptp.apply @t115 @t2 @t16))))) % 0.39/0.62 (define @t162 () (tptp.one_to_one @t115 @t112 @t114)) % 0.39/0.62 (define @t163 () (@quantifiers_skolemize @t111 3)) % 0.39/0.62 (define @t164 () (tptp.injective @t113 @t112 @t163)) % 0.39/0.62 (define @t165 () (not @t164)) % 0.39/0.62 (define @t166 () (not @t161)) % 0.39/0.62 (define @t167 () (tptp.subset @t114 @t163)) % 0.39/0.62 (define @t168 () (not @t167)) % 0.39/0.62 (define @t169 () (or (not (tptp.maps @t113 @t112 @t163)) @t168 @t166 @t165 @t162)) % 0.39/0.62 (define @t170 () (@list true)) % 0.39/0.62 (define @t171 () (@list @t169)) % 0.39/0.62 (define @t172 () (= @t141 @t136)) % 0.39/0.62 (define @t173 () (or @t139 @t127 @t172)) % 0.39/0.62 (define @t174 () (not @t128)) % 0.39/0.62 (define @t175 () (not @t122)) % 0.39/0.62 (define @t176 () (@list false)) % 0.39/0.62 (define @t177 () (tptp.surjective @t115 @t112 @t114)) % 0.39/0.62 (define @t178 () (= @t177 @t122)) % 0.39/0.62 (define @t179 () (@list false false)) % 0.39/0.62 (define @t180 () (tptp.injective @t115 @t112 @t114)) % 0.39/0.62 (define @t181 () (and @t180 @t177)) % 0.39/0.62 (define @t182 () (= @t162 @t181)) % 0.39/0.62 (define @t183 () (not @t181)) % 0.39/0.62 (define @t184 () (@list true false)) % 0.39/0.62 (define @t185 () (not (tptp.member @t41 @t112))) % 0.39/0.62 (define @t186 () (not (tptp.member @t42 @t112))) % 0.39/0.62 (define @t187 () (forall @t51 (or @t186 @t185 @t121 (not (tptp.apply @t115 @t42 @t16)) (not (tptp.apply @t115 @t41 @t16)) @t43))) % 0.39/0.62 (define @t188 () (= @t180 @t187)) % 0.39/0.62 (define @t189 () (not @t187)) % 0.39/0.62 (define @t190 () (@quantifiers_skolemize @t187 1)) % 0.39/0.62 (define @t191 () (@quantifiers_skolemize @t187 0)) % 0.39/0.62 (define @t192 () (= @t191 @t190)) % 0.39/0.62 (define @t193 () (@quantifiers_skolemize @t187 2)) % 0.39/0.62 (define @t194 () (tptp.apply @t115 @t190 @t193)) % 0.39/0.62 (define @t195 () (not @t194)) % 0.39/0.62 (define @t196 () (tptp.apply @t115 @t191 @t193)) % 0.39/0.62 (define @t197 () (not @t196)) % 0.39/0.62 (define @t198 () (tptp.member @t193 @t114)) % 0.39/0.62 (define @t199 () (not @t198)) % 0.39/0.62 (define @t200 () (tptp.member @t190 @t112)) % 0.39/0.62 (define @t201 () (not @t200)) % 0.39/0.62 (define @t202 () (tptp.member @t191 @t112)) % 0.39/0.62 (define @t203 () (not @t202)) % 0.39/0.62 (define @t204 () (or @t203 @t201 @t199 @t197 @t195 @t192)) % 0.39/0.62 (define @t205 () (not @t204)) % 0.39/0.62 (define @t206 () (@list @t204)) % 0.39/0.62 (define @t207 () (forall @t6 (or (not (tptp.member @t2 @t114)) (tptp.member @t2 @t163)))) % 0.39/0.62 (define @t208 () (= @t167 @t207)) % 0.39/0.62 (define @t209 () (tptp.member @t193 @t163)) % 0.39/0.62 (define @t210 () (or @t199 @t209)) % 0.39/0.62 (define @t211 () (forall @t51 (or @t186 @t185 (not (tptp.member @t16 @t163)) (not (tptp.apply @t113 @t42 @t16)) (not (tptp.apply @t113 @t41 @t16)) @t43))) % 0.39/0.62 (define @t212 () (= @t164 @t211)) % 0.39/0.62 (define @t213 () (tptp.apply @t113 @t191 @t193)) % 0.39/0.62 (define @t214 () (not @t213)) % 0.39/0.62 (define @t215 () (tptp.apply @t113 @t190 @t193)) % 0.39/0.62 (define @t216 () (not @t215)) % 0.39/0.62 (define @t217 () (not @t209)) % 0.39/0.62 (define @t218 () (or @t201 @t203 @t217 @t216 @t214 (= @t190 @t191))) % 0.39/0.62 (define @t219 () (or @t201 @t203 @t217 @t216 @t214 @t192)) % 0.39/0.62 (define @t220 () (or @t203 @t199 (= @t213 @t196))) % 0.39/0.62 (define @t221 () (= @t196 @t213)) % 0.39/0.62 (define @t222 () (or @t203 @t199 @t221)) % 0.39/0.62 (define @t223 () (@list @t161)) % 0.39/0.62 (define @t224 () (@list false false false)) % 0.39/0.62 (define @t225 () (or @t201 @t199 (= @t215 @t194))) % 0.39/0.62 (define @t226 () (= @t194 @t215)) % 0.39/0.62 (define @t227 () (or @t201 @t199 @t226)) % 0.39/0.62 (assume @p1 @t11) % 0.39/0.62 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.39/0.62 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.39/0.62 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.39/0.62 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.39/0.62 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.39/0.62 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 (tptp.difference @t14 @t4)) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.39/0.62 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t15))) % 0.39/0.62 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t15 (= @t2 @t1))))) % 0.39/0.62 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t19 (and @t18 @t17))))) % 0.39/0.62 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t19 (=> @t18 @t17))))) % 0.39/0.62 (assume @p12 (forall @t33 (= @t32 (and (forall @t6 (=> @t5 @t31)) (forall @t28 (=> @t27 (=> (and @t24 (tptp.apply @t23 @t2 @t20)) @t22))))))) % 0.39/0.62 (assume @p13 (forall (@list @t37 @t35 @t23 @t4 @t1 @t38) (= (tptp.compose_predicate @t37 @t35 @t23 @t4 @t1 @t38) (forall (@list @t2 @t34) (=> @t39 (= (tptp.apply @t37 @t2 @t34) @t36)))))) % 0.39/0.62 (assume @p14 (forall (@list @t35 @t23 @t4 @t1 @t38 @t2 @t34) (=> @t39 (= (tptp.apply (tptp.compose_function @t35 @t23 @t4 @t1 @t38) @t2 @t34) @t36)))) % 0.39/0.62 (assume @p15 (forall @t40 (= (tptp.equal_maps @t23 @t35 @t4 @t1) (forall @t28 (=> @t27 (=> (and @t24 (tptp.apply @t35 @t2 @t20)) @t22)))))) % 0.39/0.62 (assume @p16 (forall (@list @t23 @t4) (= (tptp.identity @t23 @t4) (forall @t6 (=> @t5 (tptp.apply @t23 @t2 @t2)))))) % 0.39/0.62 (assume @p17 @t55) % 0.39/0.62 (assume @p18 @t65) % 0.39/0.62 (assume @p19 (forall @t33 (= @t66 (and @t53 @t63)))) % 0.39/0.62 (assume @p20 (forall (@list @t35 @t23 @t4 @t1) (= (tptp.inverse_predicate @t35 @t23 @t4 @t1) (forall @t68 (=> @t67 (= @t29 (tptp.apply @t35 @t16 @t2))))))) % 0.39/0.62 (assume @p21 (forall (@list @t23 @t4 @t1 @t2 @t16) (=> @t67 (= @t29 (tptp.apply (tptp.inverse_function @t23 @t4 @t1) @t16 @t2))))) % 0.39/0.62 (assume @p22 @t74) % 0.39/0.62 (assume @p23 (forall (@list @t23 @t4 @t1 @t16) (= (tptp.member @t16 (tptp.image3 @t23 @t4 @t1)) (and @t30 @t70)))) % 0.39/0.62 (assume @p24 (forall (@list @t23 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t23 @t1)) @t31))) % 0.39/0.62 (assume @p25 (forall (@list @t23 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t23 @t1 @t4)) (and @t5 @t31)))) % 0.39/0.62 (assume @p26 (forall @t83 (= (tptp.increasing @t23 @t4 @t79 @t1 @t75) (forall @t82 (=> @t81 @t76))))) % 0.39/0.62 (assume @p27 (forall @t83 (= (tptp.decreasing @t23 @t4 @t79 @t1 @t75) (forall @t82 (=> @t81 (tptp.apply @t75 @t20 @t21)))))) % 0.39/0.62 (assume @p28 (forall @t83 (= (tptp.isomorphism @t23 @t4 @t79 @t1 @t75) (and @t32 @t66 (forall @t82 (=> (and @t49 @t26 @t48 @t25 @t78 @t77) (= @t80 @t76))))))) % 0.39/0.62 (assume @p29 @t95) % 0.39/0.62 (assume @p30 true) % 0.39/0.62 (step @p31 :rule aci_norm :args ((= (or @t102 @t101) (or @t100 @t99 @t98 @t97 @t96 @t43)))) % 0.39/0.62 (step @p32 :rule aci_norm :args ((= (or (or @t97 @t96) @t43) @t101))) % 0.39/0.62 (step @p33 :rule refl :args (@t43)) % 0.39/0.62 (step @p34 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 0.39/0.62 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t46) @t43))) % 0.39/0.62 (step @p36 :rule trans :premises (@p35 @p32)) % 0.39/0.62 (step @p37 :rule bool-impl-elim :args (@t46 @t43)) % 0.39/0.62 (step @p38 :rule trans :premises (@p37 @p36)) % 0.39/0.62 (step @p39 :rule aci_norm :args ((= (or @t100 (or @t99 @t98)) @t102))) % 0.39/0.62 (step @p40 :rule bool-and-de-morgan :args (@t48 @t30 true)) % 0.39/0.62 (step @p41 :rule refl :args (@t100)) % 0.39/0.62 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t100 (not (and @t48 @t30))))) % 0.39/0.62 (step @p43 :rule bool-and-de-morgan :args (@t49 @t48 (and @t30))) % 0.39/0.62 (step @p44 :rule trans :premises (@p43 @p42)) % 0.39/0.62 (step @p45 :rule trans :premises (@p44 @p39)) % 0.39/0.62 (step @p46 :rule nary_cong :premises (@p45 @p38) :args ((or (not @t50) @t47))) % 0.39/0.62 (step @p47 :rule trans :premises (@p46 @p31)) % 0.39/0.62 (step @p48 :rule bool-impl-elim :args (@t50 @t47)) % 0.39/0.62 (step @p49 :rule trans :premises (@p48 @p47)) % 0.39/0.62 (step @p50 :rule cong :premises (@p49) :args (@t52)) % 0.39/0.62 (step @p51 :rule refl :args (@t53)) % 0.39/0.62 (step @p52 :rule cong :premises (@p51 @p50) :args (@t54)) % 0.39/0.62 (step @p53 :rule cong :premises (@p52) :args (@t55)) % 0.39/0.62 (step @p54 :rule eq_resolve :premises (@p17 @p53)) % 0.39/0.62 (step @p55 :rule instantiate :premises (@p54) :args (@t116)) % 0.39/0.62 (step @p56 :rule bool-impl-elim :args (@t30 @t117)) % 0.39/0.62 (step @p57 :rule cong :premises (@p56) :args ((forall @t19 (=> @t30 @t117)))) % 0.39/0.62 (step @p58 :rule bool-and-de-morgan :args (@t57 @t56 true)) % 0.39/0.62 (step @p59 :rule cong :premises (@p58) :args (@t118)) % 0.39/0.62 (step @p60 :rule cong :premises (@p59) :args (@t119)) % 0.39/0.62 (step @p61 :rule exists-elim :args ((= @t60 @t119))) % 0.39/0.62 (step @p62 :rule trans :premises (@p61 @p60)) % 0.39/0.62 (step @p63 :rule refl :args (@t30)) % 0.39/0.62 (step @p64 :rule cong :premises (@p63 @p62) :args (@t61)) % 0.39/0.62 (step @p65 :rule cong :premises (@p64) :args (@t62)) % 0.39/0.62 (step @p66 :rule trans :premises (@p65 @p57)) % 0.39/0.62 (step @p67 :rule refl :args (@t63)) % 0.39/0.62 (step @p68 :rule cong :premises (@p67 @p66) :args (@t64)) % 0.39/0.62 (step @p69 :rule cong :premises (@p68) :args (@t65)) % 0.39/0.62 (step @p70 :rule eq_resolve :premises (@p18 @p69)) % 0.39/0.62 (step @p71 :rule instantiate :premises (@p70) :args (@t116)) % 0.39/0.62 (step @p72 :rule bool-double-not-elim :args (@t124)) % 0.39/0.62 (step @p73 :rule refl :args (@t128)) % 0.39/0.62 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t128 (not @t127)))) % 0.39/0.62 (step @p75 :rule cnf_or_neg :args (@t128 0)) % 0.39/0.62 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.39/0.62 (step @p77 :rule reordering :premises (@p76) :args ((or @t124 @t128))) % 0.39/0.62 (step @p78 :rule bool-double-not-elim :args (@t125)) % 0.39/0.62 (step @p79 :rule nary_cong :premises (@p73 @p78) :args ((or @t128 (not @t126)))) % 0.39/0.62 (step @p80 :rule cnf_or_neg :args (@t128 1)) % 0.39/0.62 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.39/0.62 (step @p82 :rule reordering :premises (@p81) :args ((or @t125 @t128))) % 0.39/0.62 (step @p83 :rule bool-and-de-morgan :args (@t5 @t29 true)) % 0.39/0.62 (step @p84 :rule cong :premises (@p83) :args (@t129)) % 0.39/0.62 (step @p85 :rule cong :premises (@p84) :args (@t130)) % 0.39/0.62 (step @p86 :rule exists-elim :args ((= @t70 @t130))) % 0.39/0.62 (step @p87 :rule trans :premises (@p86 @p85)) % 0.39/0.62 (step @p88 :rule refl :args (@t72)) % 0.39/0.62 (step @p89 :rule cong :premises (@p88 @p87) :args (@t73)) % 0.39/0.62 (step @p90 :rule cong :premises (@p89) :args (@t74)) % 0.39/0.62 (step @p91 :rule eq_resolve :premises (@p22 @p90)) % 0.39/0.62 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t113 @t112 @t123))) % 0.39/0.62 (step @p93 :rule cnf_equiv_pos1 :args (@t134)) % 0.39/0.62 (step @p94 :rule reordering :premises (@p93) :args ((or @t127 @t133 (not @t134)))) % 0.39/0.62 (assume-push @p354 @t125) % 0.39/0.62 (step @p96 :rule instantiate :premises (@p354) :args ((@list @t135))) % 0.39/0.62 (step-pop @p355 :rule scope :premises (@p96)) % 0.39/0.62 (step @p97 :rule process_scope :premises (@p355) :args (@t140)) % 0.39/0.62 (step @p99 :rule implies_elim :premises (@p97)) % 0.39/0.62 (step @p100 :rule refl :args (@t144)) % 0.39/0.62 (step @p101 :rule bool-double-not-elim :args (@t132)) % 0.39/0.62 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t133) @t144))) % 0.39/0.62 (assume-push @p356 @t133) % 0.39/0.62 (step @p104 :rule skolemize :premises (@p356)) % 0.39/0.62 (step-pop @p357 :rule scope :premises (@p104)) % 0.39/0.62 (step @p105 :rule process_scope :premises (@p357) :args (@t144)) % 0.39/0.62 (step @p107 :rule implies_elim :premises (@p105)) % 0.39/0.62 (step @p108 :rule eq_resolve :premises (@p107 @p102)) % 0.39/0.62 (step @p109 :rule bool-double-not-elim :args (@t138)) % 0.39/0.62 (step @p110 :rule refl :args (@t143)) % 0.39/0.62 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t143 (not @t139)))) % 0.39/0.62 (step @p112 :rule cnf_or_neg :args (@t143 0)) % 0.39/0.62 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.39/0.62 (step @p114 :rule reordering :premises (@p113) :args ((or @t138 @t143))) % 0.39/0.62 (step @p115 :rule bool-double-not-elim :args (@t141)) % 0.39/0.62 (step @p116 :rule nary_cong :premises (@p110 @p115) :args ((or @t143 (not @t142)))) % 0.39/0.62 (step @p117 :rule cnf_or_neg :args (@t143 1)) % 0.39/0.62 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.39/0.62 (step @p119 :rule reordering :premises (@p118) :args ((or @t141 @t143))) % 0.39/0.62 (step @p120 :rule aci_norm :args ((= (or @t109 @t108 false @t107 @t104 @t103) @t110))) % 0.39/0.62 (step @p121 :rule refl :args (@t103)) % 0.39/0.62 (step @p122 :rule refl :args (@t104)) % 0.39/0.62 (step @p123 :rule refl :args (@t107)) % 0.39/0.62 (step @p124 :rule evaluate :args ((not true))) % 0.39/0.62 (step @p125 :rule eq-refl :args (@t71)) % 0.39/0.62 (step @p126 :rule cong :premises (@p125) :args (@t145)) % 0.39/0.62 (step @p127 :rule trans :premises (@p126 @p124)) % 0.39/0.62 (step @p128 :rule refl :args (@t108)) % 0.39/0.62 (step @p129 :rule refl :args (@t109)) % 0.39/0.62 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p123 @p122 @p121) :args (@t146)) % 0.39/0.62 (step @p131 :rule trans :premises (@p130 @p120)) % 0.39/0.62 (step @p132 :rule cong :premises (@p131) :args ((forall @t40 @t146))) % 0.39/0.62 (step @p133 :rule quant-var-elim-eq :args ((= (forall @t155 @t154) @t146))) % 0.39/0.62 (step @p134 :rule aci_norm :args ((= @t156 @t154))) % 0.39/0.62 (step @p135 :rule cong :premises (@p134) :args (@t157)) % 0.39/0.62 (step @p136 :rule trans :premises (@p135 @p133)) % 0.39/0.62 (step @p137 :rule cong :premises (@p136) :args (@t158)) % 0.39/0.62 (step @p138 :rule quant-merge-prenex :args ((= @t158 (forall @t93 @t156)))) % 0.39/0.62 (step @p139 :rule symm :premises (@p138)) % 0.39/0.62 (step @p140 :rule trans :premises (@p139 @p137)) % 0.39/0.62 (step @p141 :rule trans :premises (@p140 @p132)) % 0.39/0.62 (step @p142 :rule aci_norm :args ((= (or @t159 @t84) @t156))) % 0.39/0.62 (step @p143 :rule refl :args (@t84)) % 0.39/0.62 (step @p144 :rule aci_norm :args ((= (or @t109 (or @t153 (or @t152 (or @t150 @t104)))) @t159))) % 0.39/0.62 (step @p145 :rule bool-and-de-morgan :args (@t149 @t53 true)) % 0.39/0.62 (step @p146 :rule refl :args (@t152)) % 0.39/0.62 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t152 (not (and @t149 @t53))))) % 0.39/0.62 (step @p148 :rule bool-and-de-morgan :args (@t151 @t149 (and @t53))) % 0.39/0.62 (step @p149 :rule trans :premises (@p148 @p147)) % 0.39/0.62 (step @p150 :rule refl :args (@t153)) % 0.39/0.62 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t153 (not (and @t151 @t149 @t53))))) % 0.39/0.62 (step @p152 :rule bool-and-de-morgan :args (@t90 @t151 (and @t149 @t53))) % 0.39/0.62 (step @p153 :rule trans :premises (@p152 @p151)) % 0.39/0.62 (step @p154 :rule refl :args (@t109)) % 0.39/0.62 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t109 (not (and @t90 @t151 @t149 @t53))))) % 0.39/0.62 (step @p156 :rule bool-and-de-morgan :args (@t32 @t90 (and @t151 @t149 @t53))) % 0.39/0.62 (step @p157 :rule trans :premises (@p156 @p155)) % 0.39/0.62 (step @p158 :rule trans :premises (@p157 @p144)) % 0.39/0.62 (step @p159 :rule nary_cong :premises (@p158 @p143) :args ((or (not @t160) @t84))) % 0.39/0.62 (step @p160 :rule trans :premises (@p159 @p142)) % 0.39/0.62 (step @p161 :rule bool-impl-elim :args (@t160 @t84)) % 0.39/0.62 (step @p162 :rule trans :premises (@p161 @p160)) % 0.39/0.62 (step @p163 :rule cong :premises (@p162) :args ((forall @t93 (=> @t160 @t84)))) % 0.39/0.62 (step @p164 :rule trans :premises (@p163 @p141)) % 0.39/0.62 (step @p165 :rule refl :args (@t84)) % 0.39/0.62 (step @p166 :rule aci_norm :args ((= (or (or @t106 @t147) @t105) @t148))) % 0.39/0.62 (step @p167 :rule refl :args (@t105)) % 0.39/0.62 (step @p168 :rule bool-and-de-morgan :args (@t5 @t86 true)) % 0.39/0.62 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or (not @t87) @t105))) % 0.39/0.62 (step @p170 :rule trans :premises (@p169 @p166)) % 0.39/0.62 (step @p171 :rule bool-impl-elim :args (@t87 @t105)) % 0.39/0.62 (step @p172 :rule trans :premises (@p171 @p170)) % 0.39/0.62 (step @p173 :rule cong :premises (@p172) :args ((forall @t68 (=> @t87 @t105)))) % 0.39/0.62 (step @p174 :rule eq-symm :args (@t85 @t29)) % 0.39/0.62 (step @p175 :rule refl :args (@t87)) % 0.39/0.62 (step @p176 :rule cong :premises (@p175 @p174) :args (@t88)) % 0.39/0.62 (step @p177 :rule cong :premises (@p176) :args (@t89)) % 0.39/0.62 (step @p178 :rule trans :premises (@p177 @p173)) % 0.39/0.62 (step @p179 :rule eq-symm :args (@t71 @t38)) % 0.39/0.62 (step @p180 :rule refl :args (@t90)) % 0.39/0.62 (step @p181 :rule refl :args (@t32)) % 0.39/0.62 (step @p182 :rule nary_cong :premises (@p181 @p180 @p179 @p178 @p51) :args (@t91)) % 0.39/0.62 (step @p183 :rule cong :premises (@p182 @p165) :args (@t92)) % 0.39/0.62 (step @p184 :rule cong :premises (@p183) :args (@t94)) % 0.39/0.62 (step @p185 :rule trans :premises (@p184 @p164)) % 0.39/0.62 (step @p186 :rule cong :premises (@p185) :args (@t95)) % 0.39/0.62 (step @p187 :rule eq_resolve :premises (@p29 @p186)) % 0.39/0.62 (step @p188 :rule skolemize :premises (@p187)) % 0.39/0.62 (step @p189 :rule bool-double-not-elim :args (@t161)) % 0.39/0.62 (step @p190 :rule refl :args (@t169)) % 0.39/0.62 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or @t169 (not @t166)))) % 0.39/0.62 (step @p192 :rule cnf_or_neg :args (@t169 2)) % 0.39/0.62 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 0.39/0.62 (step @p194 :rule reordering :premises (@p193) :args ((or @t161 @t169))) % 0.39/0.62 (step @p195 :rule chain_m_resolution :premises (@p194 @p188) :args (@t161 @t170 @t171)) % 0.39/0.62 (step @p196 :rule instantiate :premises (@p195) :args ((@list @t135 @t123))) % 0.39/0.62 (step @p197 :rule cnf_or_pos :args (@t173)) % 0.39/0.62 (step @p198 :rule reordering :premises (@p197) :args ((or @t127 @t139 @t172 (not @t173)))) % 0.39/0.62 (step @p199 :rule cnf_or_pos :args (@t140)) % 0.39/0.62 (step @p200 :rule reordering :premises (@p199) :args ((or @t139 @t137 (not @t140)))) % 0.39/0.62 (step @p201 :rule cnf_equiv_pos1 :args (@t172)) % 0.39/0.62 (step @p202 :rule reordering :premises (@p201) :args ((or @t142 @t136 (not @t172)))) % 0.39/0.62 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p198 @p196 @p119 @p114 @p108 @p99 @p94 @p92 @p82 @p77) :args (@t128 (@list true false false false false true false true false false false) (@list @t136 @t172 @t173 @t141 @t138 @t143 @t140 @t132 @t134 @t125 @t124))) % 0.39/0.62 (step @p204 :rule refl :args (@t174)) % 0.39/0.62 (step @p205 :rule bool-double-not-elim :args (@t122)) % 0.39/0.62 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or (not @t175) @t174))) % 0.39/0.62 (assume-push @p358 @t175) % 0.39/0.62 (step @p208 :rule skolemize :premises (@p358)) % 0.39/0.62 (step-pop @p359 :rule scope :premises (@p208)) % 0.39/0.62 (step @p209 :rule process_scope :premises (@p359) :args (@t174)) % 0.39/0.62 (step @p211 :rule implies_elim :premises (@p209)) % 0.39/0.62 (step @p212 :rule eq_resolve :premises (@p211 @p206)) % 0.39/0.62 (step @p213 :rule chain_m_resolution :premises (@p212 @p203) :args (@t122 @t176 (@list @t128))) % 0.39/0.62 (step @p214 :rule cnf_equiv_pos2 :args (@t178)) % 0.39/0.62 (step @p215 :rule reordering :premises (@p214) :args ((or @t177 @t175 (not @t178)))) % 0.39/0.62 (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p71) :args (@t177 @t179 (@list @t122 @t178))) % 0.39/0.62 (step @p217 :rule instantiate :premises (@p19) :args (@t116)) % 0.39/0.62 (step @p218 :rule cnf_or_neg :args (@t169 4)) % 0.39/0.62 (step @p219 :rule chain_m_resolution :premises (@p218 @p188) :args ((not @t162) @t170 @t171)) % 0.39/0.62 (step @p220 :rule cnf_equiv_pos2 :args (@t182)) % 0.39/0.62 (step @p221 :rule reordering :premises (@p220) :args ((or @t162 @t183 (not @t182)))) % 0.39/0.62 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p217) :args (@t183 @t184 (@list @t162 @t182))) % 0.39/0.62 (step @p223 :rule cnf_and_neg :args (@t181)) % 0.39/0.62 (step @p224 :rule chain_m_resolution :premises (@p223 @p222 @p216) :args ((not @t180) @t184 (@list @t181 @t177))) % 0.39/0.62 (step @p225 :rule cnf_equiv_pos2 :args (@t188)) % 0.39/0.62 (step @p226 :rule reordering :premises (@p225) :args ((or @t180 @t189 (not @t188)))) % 0.39/0.62 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p55) :args (@t189 @t184 (@list @t180 @t188))) % 0.39/0.62 (step @p228 :rule refl :args (@t205)) % 0.39/0.62 (step @p229 :rule bool-double-not-elim :args (@t187)) % 0.39/0.62 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or (not @t189) @t205))) % 0.39/0.62 (assume-push @p360 @t189) % 0.39/0.62 (step @p232 :rule skolemize :premises (@p360)) % 0.39/0.62 (step-pop @p361 :rule scope :premises (@p232)) % 0.39/0.62 (step @p233 :rule process_scope :premises (@p361) :args (@t205)) % 0.39/0.62 (step @p235 :rule implies_elim :premises (@p233)) % 0.39/0.62 (step @p236 :rule eq_resolve :premises (@p235 @p230)) % 0.39/0.62 (step @p237 :rule chain_m_resolution :premises (@p236 @p227) :args (@t205 @t170 (@list @t187))) % 0.39/0.62 (step @p238 :rule bool-double-not-elim :args (@t202)) % 0.39/0.62 (step @p239 :rule refl :args (@t204)) % 0.39/0.62 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t204 (not @t203)))) % 0.39/0.62 (step @p241 :rule cnf_or_neg :args (@t204 0)) % 0.39/0.62 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 0.39/0.62 (step @p243 :rule reordering :premises (@p242) :args ((or @t202 @t204))) % 0.39/0.62 (step @p244 :rule chain_m_resolution :premises (@p243 @p237) :args (@t202 @t170 @t206)) % 0.39/0.62 (step @p245 :rule bool-double-not-elim :args (@t200)) % 0.39/0.62 (step @p246 :rule nary_cong :premises (@p239 @p245) :args ((or @t204 (not @t201)))) % 0.39/0.62 (step @p247 :rule cnf_or_neg :args (@t204 1)) % 0.39/0.62 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 0.39/0.62 (step @p249 :rule reordering :premises (@p248) :args ((or @t200 @t204))) % 0.39/0.62 (step @p250 :rule chain_m_resolution :premises (@p249 @p237) :args (@t200 @t170 @t206)) % 0.39/0.62 (step @p251 :rule cnf_or_neg :args (@t204 5)) % 0.39/0.62 (step @p252 :rule chain_m_resolution :premises (@p251 @p237) :args ((not @t192) @t170 @t206)) % 0.39/0.62 (step @p253 :rule bool-impl-elim :args (@t5 @t3)) % 0.39/0.62 (step @p254 :rule cong :premises (@p253) :args (@t7)) % 0.39/0.62 (step @p255 :rule refl :args (@t8)) % 0.39/0.62 (step @p256 :rule cong :premises (@p255 @p254) :args (@t9)) % 0.39/0.62 (step @p257 :rule cong :premises (@p256) :args (@t11)) % 0.39/0.62 (step @p258 :rule eq_resolve :premises (@p1 @p257)) % 0.39/0.62 (step @p259 :rule instantiate :premises (@p258) :args ((@list @t114 @t163))) % 0.39/0.62 (step @p260 :rule bool-double-not-elim :args (@t167)) % 0.39/0.62 (step @p261 :rule nary_cong :premises (@p190 @p260) :args ((or @t169 (not @t168)))) % 0.39/0.62 (step @p262 :rule cnf_or_neg :args (@t169 1)) % 0.39/0.62 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 0.39/0.62 (step @p264 :rule reordering :premises (@p263) :args ((or @t167 @t169))) % 0.39/0.62 (step @p265 :rule chain_m_resolution :premises (@p264 @p188) :args (@t167 @t170 @t171)) % 0.39/0.62 (step @p266 :rule cnf_equiv_pos1 :args (@t208)) % 0.39/0.62 (step @p267 :rule reordering :premises (@p266) :args ((or @t168 @t207 (not @t208)))) % 0.39/0.62 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p259) :args (@t207 @t179 (@list @t167 @t208))) % 0.39/0.62 (step @p269 :rule instantiate :premises (@p268) :args ((@list @t193))) % 0.39/0.62 (step @p270 :rule bool-double-not-elim :args (@t198)) % 0.39/0.62 (step @p271 :rule nary_cong :premises (@p239 @p270) :args ((or @t204 (not @t199)))) % 0.39/0.62 (step @p272 :rule cnf_or_neg :args (@t204 2)) % 0.39/0.62 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 0.39/0.62 (step @p274 :rule reordering :premises (@p273) :args ((or @t198 @t204))) % 0.39/0.62 (step @p275 :rule chain_m_resolution :premises (@p274 @p237) :args (@t198 @t170 @t206)) % 0.39/0.62 (step @p276 :rule cnf_or_pos :args (@t210)) % 0.39/0.62 (step @p277 :rule reordering :premises (@p276) :args ((or @t199 @t209 (not @t210)))) % 0.39/0.62 (step @p278 :rule chain_m_resolution :premises (@p277 @p275 @p269) :args (@t209 @t179 (@list @t198 @t210))) % 0.39/0.62 (step @p279 :rule instantiate :premises (@p54) :args ((@list @t113 @t112 @t163))) % 0.39/0.62 (step @p280 :rule bool-double-not-elim :args (@t164)) % 0.39/0.62 (step @p281 :rule nary_cong :premises (@p190 @p280) :args ((or @t169 (not @t165)))) % 0.39/0.62 (step @p282 :rule cnf_or_neg :args (@t169 3)) % 0.39/0.62 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 0.39/0.62 (step @p284 :rule reordering :premises (@p283) :args ((or @t164 @t169))) % 0.39/0.62 (step @p285 :rule chain_m_resolution :premises (@p284 @p188) :args (@t164 @t170 @t171)) % 0.39/0.62 (step @p286 :rule cnf_equiv_pos1 :args (@t212)) % 0.39/0.62 (step @p287 :rule reordering :premises (@p286) :args ((or @t165 @t211 (not @t212)))) % 0.39/0.62 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p279) :args (@t211 @t179 (@list @t164 @t212))) % 0.39/0.62 (step @p289 :rule eq-symm :args (@t190 @t191)) % 0.39/0.62 (step @p290 :rule refl :args (@t214)) % 0.39/0.62 (step @p291 :rule refl :args (@t216)) % 0.39/0.62 (step @p292 :rule refl :args (@t217)) % 0.39/0.62 (step @p293 :rule refl :args (@t203)) % 0.39/0.62 (step @p294 :rule refl :args (@t201)) % 0.39/0.62 (step @p295 :rule nary_cong :premises (@p294 @p293 @p292 @p291 @p290 @p289) :args (@t218)) % 0.39/0.62 (step @p296 :rule refl :args (@t211)) % 0.39/0.62 (step @p297 :rule cong :premises (@p296 @p295) :args ((=> @t211 @t218))) % 0.39/0.62 (assume-push @p362 @t211) % 0.39/0.62 (step @p299 :rule instantiate :premises (@p288) :args ((@list @t190 @t191 @t193))) % 0.39/0.62 (step-pop @p363 :rule scope :premises (@p299)) % 0.39/0.62 (step @p300 :rule process_scope :premises (@p363) :args (@t218)) % 0.39/0.62 (step @p302 :rule eq_resolve :premises (@p300 @p297)) % 0.39/0.62 (step @p303 :rule implies_elim :premises (@p302)) % 0.39/0.62 (step @p304 :rule chain_m_resolution :premises (@p303 @p288) :args (@t219 @t176 (@list @t211))) % 0.39/0.62 (step @p305 :rule eq-symm :args (@t213 @t196)) % 0.39/0.62 (step @p306 :rule refl :args (@t199)) % 0.39/0.62 (step @p307 :rule nary_cong :premises (@p293 @p306 @p305) :args (@t220)) % 0.39/0.62 (step @p308 :rule refl :args (@t161)) % 0.39/0.62 (step @p309 :rule cong :premises (@p308 @p307) :args ((=> @t161 @t220))) % 0.39/0.62 (assume-push @p364 @t161) % 0.39/0.62 (step @p311 :rule instantiate :premises (@p195) :args ((@list @t191 @t193))) % 0.39/0.62 (step-pop @p365 :rule scope :premises (@p311)) % 0.39/0.62 (step @p312 :rule process_scope :premises (@p365) :args (@t220)) % 0.39/0.62 (step @p314 :rule eq_resolve :premises (@p312 @p309)) % 0.39/0.62 (step @p315 :rule implies_elim :premises (@p314)) % 0.39/0.62 (step @p316 :rule chain_m_resolution :premises (@p315 @p195) :args (@t222 @t176 @t223)) % 0.39/0.62 (step @p317 :rule cnf_or_pos :args (@t222)) % 0.39/0.62 (step @p318 :rule reordering :premises (@p317) :args ((or @t203 @t199 @t221 (not @t222)))) % 0.39/0.62 (step @p319 :rule chain_m_resolution :premises (@p318 @p244 @p275 @p316) :args (@t221 @t224 (@list @t202 @t198 @t222))) % 0.39/0.62 (step @p320 :rule bool-double-not-elim :args (@t196)) % 0.39/0.62 (step @p321 :rule nary_cong :premises (@p239 @p320) :args ((or @t204 (not @t197)))) % 0.39/0.62 (step @p322 :rule cnf_or_neg :args (@t204 3)) % 0.39/0.62 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 0.39/0.62 (step @p324 :rule reordering :premises (@p323) :args ((or @t196 @t204))) % 0.39/0.62 (step @p325 :rule chain_m_resolution :premises (@p324 @p237) :args (@t196 @t170 @t206)) % 0.39/0.62 (step @p326 :rule cnf_equiv_pos1 :args (@t221)) % 0.39/0.62 (step @p327 :rule reordering :premises (@p326) :args ((or @t197 @t213 (not @t221)))) % 0.39/0.62 (step @p328 :rule chain_m_resolution :premises (@p327 @p325 @p319) :args (@t213 @t179 (@list @t196 @t221))) % 0.39/0.62 (step @p329 :rule eq-symm :args (@t215 @t194)) % 0.39/0.62 (step @p330 :rule nary_cong :premises (@p294 @p306 @p329) :args (@t225)) % 0.39/0.62 (step @p331 :rule cong :premises (@p308 @p330) :args ((=> @t161 @t225))) % 0.39/0.62 (assume-push @p366 @t161) % 0.39/0.62 (step @p333 :rule instantiate :premises (@p195) :args ((@list @t190 @t193))) % 0.39/0.62 (step-pop @p367 :rule scope :premises (@p333)) % 0.39/0.62 (step @p334 :rule process_scope :premises (@p367) :args (@t225)) % 0.39/0.62 (step @p336 :rule eq_resolve :premises (@p334 @p331)) % 0.39/0.62 (step @p337 :rule implies_elim :premises (@p336)) % 0.39/0.62 (step @p338 :rule chain_m_resolution :premises (@p337 @p195) :args (@t227 @t176 @t223)) % 0.39/0.62 (step @p339 :rule cnf_or_pos :args (@t227)) % 0.39/0.62 (step @p340 :rule reordering :premises (@p339) :args ((or @t201 @t199 @t226 (not @t227)))) % 0.39/0.62 (step @p341 :rule chain_m_resolution :premises (@p340 @p250 @p275 @p338) :args (@t226 @t224 (@list @t200 @t198 @t227))) % 0.39/0.62 (step @p342 :rule bool-double-not-elim :args (@t194)) % 0.39/0.62 (step @p343 :rule nary_cong :premises (@p239 @p342) :args ((or @t204 (not @t195)))) % 0.39/0.62 (step @p344 :rule cnf_or_neg :args (@t204 4)) % 0.39/0.62 (step @p345 :rule eq_resolve :premises (@p344 @p343)) % 0.39/0.62 (step @p346 :rule reordering :premises (@p345) :args ((or @t194 @t204))) % 0.39/0.62 (step @p347 :rule chain_m_resolution :premises (@p346 @p237) :args (@t194 @t170 @t206)) % 0.39/0.62 (step @p348 :rule cnf_equiv_pos1 :args (@t226)) % 0.39/0.62 (step @p349 :rule reordering :premises (@p348) :args ((or @t195 @t215 (not @t226)))) % 0.39/0.62 (step @p350 :rule chain_m_resolution :premises (@p349 @p347 @p341) :args (@t215 @t179 (@list @t194 @t226))) % 0.39/0.62 (step @p351 :rule cnf_or_pos :args (@t219)) % 0.39/0.62 (step @p352 :rule reordering :premises (@p351) :args ((or @t203 @t201 @t192 @t214 @t216 @t217 (not @t219)))) % 0.39/0.62 (step @p353 false :rule chain_m_resolution :premises (@p352 @p350 @p328 @p304 @p278 @p252 @p250 @p244) :args (false (@list false false false false true false false) (@list @t215 @t213 @t219 @t209 @t192 @t200 @t202))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------