%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET712+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 : n011.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 08:48:29 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET712+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:09:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.empty_set $$unsorted) % 0.37/0.62 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.62 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.62 (define @t4 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.62 (define @t6 () (@list @t2)) % 0.37/0.62 (define @t7 () (tptp.subset @t4 @t1)) % 0.37/0.62 (define @t8 () (@list @t4 @t1)) % 0.37/0.62 (define @t9 () (@list @t2 @t4)) % 0.37/0.62 (define @t10 () (@list @t2 @t4 @t1)) % 0.37/0.62 (define @t11 () (@var "E" $$unsorted)) % 0.37/0.62 (define @t12 () (= @t2 @t4)) % 0.37/0.62 (define @t13 () (@var "Y" $$unsorted)) % 0.37/0.62 (define @t14 () (tptp.member @t2 @t13)) % 0.37/0.62 (define @t15 () (tptp.member @t13 @t4)) % 0.37/0.62 (define @t16 () (@list @t13)) % 0.37/0.62 (define @t17 () (@var "Y2" $$unsorted)) % 0.37/0.62 (define @t18 () (@var "Y1" $$unsorted)) % 0.37/0.62 (define @t19 () (= @t18 @t17)) % 0.37/0.62 (define @t20 () (@var "F" $$unsorted)) % 0.37/0.62 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 0.37/0.62 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 0.37/0.62 (define @t23 () (and @t22 @t21)) % 0.37/0.62 (define @t24 () (=> @t23 @t19)) % 0.37/0.62 (define @t25 () (tptp.member @t17 @t1)) % 0.37/0.62 (define @t26 () (tptp.member @t18 @t1)) % 0.37/0.62 (define @t27 () (and @t5 @t26 @t25)) % 0.37/0.62 (define @t28 () (@list @t2 @t18 @t17)) % 0.37/0.62 (define @t29 () (forall @t28 (=> @t27 @t24))) % 0.37/0.62 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 0.37/0.62 (define @t31 () (tptp.member @t13 @t1)) % 0.37/0.62 (define @t32 () (and @t31 @t30)) % 0.37/0.62 (define @t33 () (exists @t16 @t32)) % 0.37/0.62 (define @t34 () (=> @t5 @t33)) % 0.37/0.62 (define @t35 () (forall @t6 @t34)) % 0.37/0.62 (define @t36 () (and @t35 @t29)) % 0.37/0.62 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 0.37/0.62 (define @t38 () (= @t37 @t36)) % 0.37/0.62 (define @t39 () (@list @t20 @t4 @t1)) % 0.37/0.62 (define @t40 () (forall @t39 @t38)) % 0.37/0.62 (define @t41 () (@var "Z" $$unsorted)) % 0.37/0.62 (define @t42 () (@var "G" $$unsorted)) % 0.37/0.62 (define @t43 () (exists @t16 (and @t31 @t30 (tptp.apply @t42 @t13 @t41)))) % 0.37/0.62 (define @t44 () (@var "H" $$unsorted)) % 0.37/0.62 (define @t45 () (@var "C" $$unsorted)) % 0.37/0.62 (define @t46 () (and @t5 (tptp.member @t41 @t45))) % 0.37/0.62 (define @t47 () (@var "X2" $$unsorted)) % 0.37/0.62 (define @t48 () (@var "X1" $$unsorted)) % 0.37/0.62 (define @t49 () (= @t48 @t47)) % 0.37/0.62 (define @t50 () (tptp.apply @t20 @t47 @t13)) % 0.37/0.62 (define @t51 () (tptp.apply @t20 @t48 @t13)) % 0.37/0.62 (define @t52 () (and @t51 @t50)) % 0.37/0.62 (define @t53 () (=> @t52 @t49)) % 0.37/0.62 (define @t54 () (tptp.member @t47 @t4)) % 0.37/0.62 (define @t55 () (tptp.member @t48 @t4)) % 0.37/0.62 (define @t56 () (and @t55 @t54 @t31)) % 0.37/0.62 (define @t57 () (@list @t48 @t47 @t13)) % 0.37/0.62 (define @t58 () (forall @t57 (=> @t56 @t53))) % 0.37/0.62 (define @t59 () (tptp.injective @t20 @t4 @t1)) % 0.37/0.62 (define @t60 () (= @t59 @t58)) % 0.37/0.62 (define @t61 () (forall @t39 @t60)) % 0.37/0.62 (define @t62 () (tptp.apply @t20 @t11 @t13)) % 0.37/0.62 (define @t63 () (tptp.member @t11 @t4)) % 0.37/0.62 (define @t64 () (and @t63 @t62)) % 0.37/0.62 (define @t65 () (@list @t11)) % 0.37/0.62 (define @t66 () (exists @t65 @t64)) % 0.37/0.62 (define @t67 () (=> @t31 @t66)) % 0.37/0.62 (define @t68 () (forall @t16 @t67)) % 0.37/0.62 (define @t69 () (tptp.surjective @t20 @t4 @t1)) % 0.37/0.62 (define @t70 () (= @t69 @t68)) % 0.37/0.62 (define @t71 () (forall @t39 @t70)) % 0.37/0.62 (define @t72 () (tptp.one_to_one @t20 @t4 @t1)) % 0.37/0.62 (define @t73 () (and @t5 @t31)) % 0.37/0.62 (define @t74 () (tptp.inverse_function @t20 @t4 @t1)) % 0.37/0.62 (define @t75 () (= @t30 (tptp.apply @t74 @t13 @t2))) % 0.37/0.62 (define @t76 () (@list @t20 @t4 @t1 @t2 @t13)) % 0.37/0.62 (define @t77 () (forall @t76 (=> @t73 @t75))) % 0.37/0.62 (define @t78 () (exists @t6 (and @t5 @t30))) % 0.37/0.62 (define @t79 () (@var "S" $$unsorted)) % 0.37/0.62 (define @t80 () (tptp.apply @t79 @t18 @t17)) % 0.37/0.62 (define @t81 () (tptp.apply @t20 @t47 @t17)) % 0.37/0.62 (define @t82 () (tptp.apply @t20 @t48 @t18)) % 0.37/0.62 (define @t83 () (@var "R" $$unsorted)) % 0.37/0.62 (define @t84 () (tptp.apply @t83 @t48 @t47)) % 0.37/0.62 (define @t85 () (and @t55 @t26 @t54 @t25 @t84 @t82 @t81)) % 0.37/0.62 (define @t86 () (@list @t48 @t18 @t47 @t17)) % 0.37/0.62 (define @t87 () (@list @t20 @t4 @t83 @t1 @t79)) % 0.37/0.62 (define @t88 () (tptp.maps @t74 @t1 @t4)) % 0.37/0.62 (define @t89 () (and @t37 @t72)) % 0.37/0.62 (define @t90 () (forall @t39 (=> @t89 @t88))) % 0.37/0.62 (define @t91 () (not @t90)) % 0.37/0.62 (define @t92 () (not @t50)) % 0.37/0.62 (define @t93 () (not @t51)) % 0.37/0.62 (define @t94 () (not @t31)) % 0.37/0.62 (define @t95 () (not @t54)) % 0.37/0.62 (define @t96 () (not @t55)) % 0.37/0.62 (define @t97 () (or @t93 @t92 @t49)) % 0.37/0.62 (define @t98 () (or @t96 @t95 @t94)) % 0.37/0.62 (define @t99 () (not @t72)) % 0.37/0.62 (define @t100 () (not @t37)) % 0.37/0.62 (define @t101 () (or @t100 @t99 @t88)) % 0.37/0.62 (define @t102 () (forall @t39 @t101)) % 0.37/0.62 (define @t103 () (@quantifiers_skolemize @t102 2)) % 0.37/0.62 (define @t104 () (@quantifiers_skolemize @t102 1)) % 0.37/0.62 (define @t105 () (@quantifiers_skolemize @t102 0)) % 0.37/0.62 (define @t106 () (@list @t105 @t104 @t103)) % 0.37/0.62 (define @t107 () (tptp.one_to_one @t105 @t104 @t103)) % 0.37/0.62 (define @t108 () (tptp.inverse_function @t105 @t104 @t103)) % 0.37/0.62 (define @t109 () (tptp.maps @t108 @t103 @t104)) % 0.37/0.62 (define @t110 () (not @t107)) % 0.37/0.62 (define @t111 () (or (not (tptp.maps @t105 @t104 @t103)) @t110 @t109)) % 0.37/0.62 (define @t112 () (@list true)) % 0.37/0.62 (define @t113 () (@list @t111)) % 0.37/0.62 (define @t114 () (tptp.surjective @t105 @t104 @t103)) % 0.37/0.62 (define @t115 () (tptp.injective @t105 @t104 @t103)) % 0.37/0.62 (define @t116 () (and @t115 @t114)) % 0.37/0.62 (define @t117 () (= @t107 @t116)) % 0.37/0.62 (define @t118 () (@list false false)) % 0.37/0.62 (define @t119 () (not @t116)) % 0.37/0.62 (define @t120 () (@list false)) % 0.37/0.62 (define @t121 () (@list @t116)) % 0.37/0.62 (define @t122 () (not (tptp.member @t13 @t103))) % 0.37/0.62 (define @t123 () (forall @t57 (or (not (tptp.member @t48 @t104)) (not (tptp.member @t47 @t104)) @t122 (not (tptp.apply @t105 @t48 @t13)) (not (tptp.apply @t105 @t47 @t13)) @t49))) % 0.37/0.62 (define @t124 () (= @t115 @t123)) % 0.37/0.62 (define @t125 () (not (tptp.member @t13 @t104))) % 0.37/0.62 (define @t126 () (not (tptp.member @t2 @t103))) % 0.37/0.62 (define @t127 () (forall @t6 (or @t126 (not (forall @t16 (or @t125 (not (tptp.apply @t108 @t2 @t13)))))))) % 0.37/0.62 (define @t128 () (@quantifiers_skolemize @t127 0)) % 0.37/0.62 (define @t129 () (tptp.member @t128 @t103)) % 0.37/0.62 (define @t130 () (forall @t16 (or @t125 (not (tptp.apply @t108 @t128 @t13))))) % 0.37/0.62 (define @t131 () (not @t130)) % 0.37/0.62 (define @t132 () (not @t129)) % 0.37/0.62 (define @t133 () (or @t132 @t131)) % 0.37/0.62 (define @t134 () (not (forall @t65 (or (not @t63) (not @t62))))) % 0.37/0.62 (define @t135 () (forall @t65 (not @t64))) % 0.37/0.62 (define @t136 () (not @t135)) % 0.37/0.62 (define @t137 () (not (tptp.member @t11 @t104))) % 0.37/0.62 (define @t138 () (forall @t16 (or @t122 (not (forall @t65 (or @t137 (not (tptp.apply @t105 @t11 @t13)))))))) % 0.37/0.62 (define @t139 () (= @t114 @t138)) % 0.37/0.62 (define @t140 () (forall @t65 (or @t137 (not (tptp.apply @t105 @t11 @t128))))) % 0.37/0.62 (define @t141 () (not @t140)) % 0.37/0.62 (define @t142 () (or @t132 @t141)) % 0.37/0.62 (define @t143 () (@quantifiers_skolemize @t140 0)) % 0.37/0.62 (define @t144 () (tptp.apply @t108 @t128 @t143)) % 0.37/0.62 (define @t145 () (not @t144)) % 0.37/0.62 (define @t146 () (tptp.member @t143 @t104)) % 0.37/0.62 (define @t147 () (not @t146)) % 0.37/0.62 (define @t148 () (or @t147 @t145)) % 0.37/0.62 (define @t149 () (tptp.apply @t105 @t143 @t128)) % 0.37/0.62 (define @t150 () (not @t149)) % 0.37/0.62 (define @t151 () (or @t147 @t150)) % 0.37/0.62 (define @t152 () (not @t151)) % 0.37/0.62 (define @t153 () (not @t5)) % 0.37/0.62 (define @t154 () (or @t153 @t94 @t75)) % 0.37/0.62 (define @t155 () (= @t149 @t144)) % 0.37/0.62 (define @t156 () (or @t147 @t132 @t155)) % 0.37/0.62 (define @t157 () (not @t133)) % 0.37/0.62 (define @t158 () (not @t127)) % 0.37/0.62 (define @t159 () (not @t21)) % 0.37/0.62 (define @t160 () (not @t22)) % 0.37/0.62 (define @t161 () (not @t25)) % 0.37/0.62 (define @t162 () (not @t26)) % 0.37/0.62 (define @t163 () (or @t160 @t159 @t19)) % 0.37/0.62 (define @t164 () (or @t153 @t162 @t161)) % 0.37/0.62 (define @t165 () (not (forall @t16 (or @t94 (not @t30))))) % 0.37/0.62 (define @t166 () (forall @t16 (not @t32))) % 0.37/0.62 (define @t167 () (not @t166)) % 0.37/0.62 (define @t168 () (forall @t28 (or @t126 (not (tptp.member @t18 @t104)) (not (tptp.member @t17 @t104)) (not (tptp.apply @t108 @t2 @t18)) (not (tptp.apply @t108 @t2 @t17)) @t19))) % 0.37/0.62 (define @t169 () (and @t127 @t168)) % 0.37/0.62 (define @t170 () (= @t109 @t169)) % 0.37/0.62 (define @t171 () (not @t169)) % 0.37/0.62 (define @t172 () (@list true false)) % 0.37/0.62 (define @t173 () (not @t168)) % 0.37/0.62 (define @t174 () (@quantifiers_skolemize @t168 2)) % 0.37/0.62 (define @t175 () (@quantifiers_skolemize @t168 1)) % 0.37/0.62 (define @t176 () (= @t175 @t174)) % 0.37/0.62 (define @t177 () (@quantifiers_skolemize @t168 0)) % 0.37/0.62 (define @t178 () (tptp.apply @t108 @t177 @t174)) % 0.37/0.62 (define @t179 () (not @t178)) % 0.37/0.62 (define @t180 () (tptp.apply @t108 @t177 @t175)) % 0.37/0.62 (define @t181 () (not @t180)) % 0.37/0.62 (define @t182 () (tptp.member @t174 @t104)) % 0.37/0.62 (define @t183 () (not @t182)) % 0.37/0.62 (define @t184 () (tptp.member @t175 @t104)) % 0.37/0.62 (define @t185 () (not @t184)) % 0.37/0.62 (define @t186 () (tptp.member @t177 @t103)) % 0.37/0.62 (define @t187 () (not @t186)) % 0.37/0.62 (define @t188 () (or @t187 @t185 @t183 @t181 @t179 @t176)) % 0.37/0.62 (define @t189 () (not @t188)) % 0.37/0.62 (define @t190 () (tptp.apply @t105 @t174 @t177)) % 0.37/0.62 (define @t191 () (or @t183 @t187 (= @t190 @t178))) % 0.37/0.62 (define @t192 () (forall @t76 @t154)) % 0.37/0.62 (define @t193 () (= @t178 @t190)) % 0.37/0.62 (define @t194 () (or @t183 @t187 @t193)) % 0.37/0.62 (define @t195 () (@list @t192)) % 0.37/0.62 (define @t196 () (@list false false false)) % 0.37/0.62 (define @t197 () (@list @t188)) % 0.37/0.62 (define @t198 () (tptp.apply @t105 @t175 @t177)) % 0.37/0.62 (define @t199 () (or @t185 @t187 (= @t198 @t180))) % 0.37/0.62 (define @t200 () (= @t180 @t198)) % 0.37/0.62 (define @t201 () (or @t185 @t187 @t200)) % 0.37/0.62 (define @t202 () (not @t198)) % 0.37/0.62 (define @t203 () (not @t190)) % 0.37/0.62 (define @t204 () (or @t183 @t185 @t187 @t203 @t202 @t176)) % 0.37/0.62 (define @t205 () (not @t204)) % 0.37/0.62 (define @t206 () (or @t183 @t185 @t187 @t203 @t202 (= @t174 @t175))) % 0.37/0.62 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.37/0.62 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.37/0.62 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.37/0.62 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.37/0.62 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.37/0.62 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.37/0.62 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.37/0.62 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.37/0.62 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.37/0.62 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.37/0.62 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.37/0.62 (assume @p12 @t40) % 0.37/0.62 (assume @p13 (forall (@list @t44 @t42 @t20 @t4 @t1 @t45) (= (tptp.compose_predicate @t44 @t42 @t20 @t4 @t1 @t45) (forall (@list @t2 @t41) (=> @t46 (= (tptp.apply @t44 @t2 @t41) @t43)))))) % 0.37/0.62 (assume @p14 (forall (@list @t42 @t20 @t4 @t1 @t45 @t2 @t41) (=> @t46 (= (tptp.apply (tptp.compose_function @t42 @t20 @t4 @t1 @t45) @t2 @t41) @t43)))) % 0.37/0.62 (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)))))) % 0.37/0.62 (assume @p16 (forall (@list @t20 @t4) (= (tptp.identity @t20 @t4) (forall @t6 (=> @t5 (tptp.apply @t20 @t2 @t2)))))) % 0.37/0.62 (assume @p17 @t61) % 0.37/0.62 (assume @p18 @t71) % 0.37/0.62 (assume @p19 (forall @t39 (= @t72 (and @t59 @t69)))) % 0.37/0.62 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t73 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 0.37/0.62 (assume @p21 @t77) % 0.37/0.62 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t78))) % 0.37/0.62 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t78)))) % 0.37/0.62 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 0.37/0.62 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 0.37/0.62 (assume @p26 (forall @t87 (= (tptp.increasing @t20 @t4 @t83 @t1 @t79) (forall @t86 (=> @t85 @t80))))) % 0.37/0.62 (assume @p27 (forall @t87 (= (tptp.decreasing @t20 @t4 @t83 @t1 @t79) (forall @t86 (=> @t85 (tptp.apply @t79 @t17 @t18)))))) % 0.37/0.62 (assume @p28 (forall @t87 (= (tptp.isomorphism @t20 @t4 @t83 @t1 @t79) (and @t37 @t72 (forall @t86 (=> (and @t55 @t26 @t54 @t25 @t82 @t81) (= @t84 @t80))))))) % 0.37/0.62 (assume @p29 @t91) % 0.37/0.62 (assume @p30 true) % 0.37/0.62 (step @p31 :rule aci_norm :args ((= (or @t98 @t97) (or @t96 @t95 @t94 @t93 @t92 @t49)))) % 0.37/0.62 (step @p32 :rule aci_norm :args ((= (or (or @t93 @t92) @t49) @t97))) % 0.37/0.62 (step @p33 :rule refl :args (@t49)) % 0.37/0.62 (step @p34 :rule bool-and-de-morgan :args (@t51 @t50 true)) % 0.37/0.62 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t52) @t49))) % 0.37/0.62 (step @p36 :rule trans :premises (@p35 @p32)) % 0.37/0.62 (step @p37 :rule bool-impl-elim :args (@t52 @t49)) % 0.37/0.62 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.62 (step @p39 :rule aci_norm :args ((= (or @t96 (or @t95 @t94)) @t98))) % 0.37/0.62 (step @p40 :rule bool-and-de-morgan :args (@t54 @t31 true)) % 0.37/0.62 (step @p41 :rule refl :args (@t96)) % 0.37/0.62 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t96 (not (and @t54 @t31))))) % 0.37/0.62 (step @p43 :rule bool-and-de-morgan :args (@t55 @t54 (and @t31))) % 0.37/0.62 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.62 (step @p45 :rule trans :premises (@p44 @p39)) % 0.37/0.62 (step @p46 :rule nary_cong :premises (@p45 @p38) :args ((or (not @t56) @t53))) % 0.37/0.62 (step @p47 :rule trans :premises (@p46 @p31)) % 0.37/0.62 (step @p48 :rule bool-impl-elim :args (@t56 @t53)) % 0.37/0.62 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.62 (step @p50 :rule cong :premises (@p49) :args (@t58)) % 0.37/0.62 (step @p51 :rule refl :args (@t59)) % 0.37/0.62 (step @p52 :rule cong :premises (@p51 @p50) :args (@t60)) % 0.37/0.62 (step @p53 :rule cong :premises (@p52) :args (@t61)) % 0.37/0.62 (step @p54 :rule eq_resolve :premises (@p17 @p53)) % 0.37/0.62 (step @p55 :rule instantiate :premises (@p54) :args (@t106)) % 0.37/0.62 (step @p56 :rule instantiate :premises (@p19) :args (@t106)) % 0.37/0.62 (step @p57 :rule aci_norm :args ((= (or (or @t100 @t99) @t88) @t101))) % 0.37/0.62 (step @p58 :rule refl :args (@t88)) % 0.37/0.62 (step @p59 :rule bool-and-de-morgan :args (@t37 @t72 true)) % 0.37/0.62 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t89) @t88))) % 0.37/0.62 (step @p61 :rule trans :premises (@p60 @p57)) % 0.37/0.62 (step @p62 :rule bool-impl-elim :args (@t89 @t88)) % 0.37/0.62 (step @p63 :rule trans :premises (@p62 @p61)) % 0.37/0.62 (step @p64 :rule cong :premises (@p63) :args (@t90)) % 0.37/0.62 (step @p65 :rule cong :premises (@p64) :args (@t91)) % 0.37/0.62 (step @p66 :rule eq_resolve :premises (@p29 @p65)) % 0.37/0.62 (step @p67 :rule skolemize :premises (@p66)) % 0.37/0.62 (step @p68 :rule bool-double-not-elim :args (@t107)) % 0.37/0.62 (step @p69 :rule refl :args (@t111)) % 0.37/0.62 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t111 (not @t110)))) % 0.37/0.62 (step @p71 :rule cnf_or_neg :args (@t111 1)) % 0.37/0.62 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.37/0.62 (step @p73 :rule reordering :premises (@p72) :args ((or @t107 @t111))) % 0.37/0.62 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t107 @t112 @t113)) % 0.37/0.62 (step @p75 :rule cnf_equiv_pos1 :args (@t117)) % 0.37/0.62 (step @p76 :rule reordering :premises (@p75) :args ((or @t110 @t116 (not @t117)))) % 0.37/0.62 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p56) :args (@t116 @t118 (@list @t107 @t117))) % 0.37/0.62 (step @p78 :rule cnf_and_pos :args (@t116 0)) % 0.37/0.62 (step @p79 :rule reordering :premises (@p78) :args ((or @t115 @t119))) % 0.37/0.62 (step @p80 :rule chain_m_resolution :premises (@p79 @p77) :args (@t115 @t120 @t121)) % 0.37/0.62 (step @p81 :rule cnf_equiv_pos1 :args (@t124)) % 0.37/0.62 (step @p82 :rule reordering :premises (@p81) :args ((or (not @t115) @t123 (not @t124)))) % 0.37/0.62 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p55) :args (@t123 @t118 (@list @t115 @t124))) % 0.37/0.62 (step @p84 :rule bool-double-not-elim :args (@t129)) % 0.37/0.62 (step @p85 :rule refl :args (@t133)) % 0.37/0.62 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t133 (not @t132)))) % 0.37/0.62 (step @p87 :rule cnf_or_neg :args (@t133 0)) % 0.37/0.62 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.37/0.62 (step @p89 :rule reordering :premises (@p88) :args ((or @t129 @t133))) % 0.37/0.62 (step @p90 :rule bool-double-not-elim :args (@t130)) % 0.37/0.62 (step @p91 :rule nary_cong :premises (@p85 @p90) :args ((or @t133 (not @t131)))) % 0.37/0.62 (step @p92 :rule cnf_or_neg :args (@t133 1)) % 0.37/0.62 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.37/0.62 (step @p94 :rule reordering :premises (@p93) :args ((or @t130 @t133))) % 0.37/0.62 (step @p95 :rule bool-impl-elim :args (@t31 @t134)) % 0.37/0.62 (step @p96 :rule cong :premises (@p95) :args ((forall @t16 (=> @t31 @t134)))) % 0.37/0.62 (step @p97 :rule bool-and-de-morgan :args (@t63 @t62 true)) % 0.37/0.62 (step @p98 :rule cong :premises (@p97) :args (@t135)) % 0.37/0.62 (step @p99 :rule cong :premises (@p98) :args (@t136)) % 0.37/0.62 (step @p100 :rule exists-elim :args ((= @t66 @t136))) % 0.37/0.62 (step @p101 :rule trans :premises (@p100 @p99)) % 0.37/0.62 (step @p102 :rule refl :args (@t31)) % 0.37/0.62 (step @p103 :rule cong :premises (@p102 @p101) :args (@t67)) % 0.37/0.62 (step @p104 :rule cong :premises (@p103) :args (@t68)) % 0.37/0.62 (step @p105 :rule trans :premises (@p104 @p96)) % 0.37/0.62 (step @p106 :rule refl :args (@t69)) % 0.37/0.62 (step @p107 :rule cong :premises (@p106 @p105) :args (@t70)) % 0.37/0.62 (step @p108 :rule cong :premises (@p107) :args (@t71)) % 0.37/0.62 (step @p109 :rule eq_resolve :premises (@p18 @p108)) % 0.37/0.62 (step @p110 :rule instantiate :premises (@p109) :args (@t106)) % 0.37/0.62 (step @p111 :rule cnf_and_pos :args (@t116 1)) % 0.37/0.62 (step @p112 :rule reordering :premises (@p111) :args ((or @t114 @t119))) % 0.37/0.62 (step @p113 :rule chain_m_resolution :premises (@p112 @p77) :args (@t114 @t120 @t121)) % 0.37/0.62 (step @p114 :rule cnf_equiv_pos1 :args (@t139)) % 0.37/0.62 (step @p115 :rule reordering :premises (@p114) :args ((or (not @t114) @t138 (not @t139)))) % 0.37/0.62 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p110) :args (@t138 @t118 (@list @t114 @t139))) % 0.37/0.62 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t128))) % 0.37/0.62 (step @p118 :rule cnf_or_pos :args (@t142)) % 0.37/0.62 (step @p119 :rule reordering :premises (@p118) :args ((or @t132 @t141 (not @t142)))) % 0.37/0.62 (assume-push @p312 @t130) % 0.37/0.62 (step @p121 :rule instantiate :premises (@p312) :args ((@list @t143))) % 0.37/0.62 (step-pop @p313 :rule scope :premises (@p121)) % 0.37/0.62 (step @p122 :rule process_scope :premises (@p313) :args (@t148)) % 0.37/0.62 (step @p124 :rule implies_elim :premises (@p122)) % 0.37/0.62 (step @p125 :rule refl :args (@t152)) % 0.37/0.62 (step @p126 :rule bool-double-not-elim :args (@t140)) % 0.37/0.62 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t141) @t152))) % 0.37/0.62 (assume-push @p314 @t141) % 0.37/0.62 (step @p129 :rule skolemize :premises (@p314)) % 0.37/0.62 (step-pop @p315 :rule scope :premises (@p129)) % 0.37/0.62 (step @p130 :rule process_scope :premises (@p315) :args (@t152)) % 0.37/0.62 (step @p132 :rule implies_elim :premises (@p130)) % 0.37/0.62 (step @p133 :rule eq_resolve :premises (@p132 @p127)) % 0.37/0.62 (step @p134 :rule bool-double-not-elim :args (@t146)) % 0.37/0.62 (step @p135 :rule refl :args (@t151)) % 0.37/0.62 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t151 (not @t147)))) % 0.37/0.62 (step @p137 :rule cnf_or_neg :args (@t151 0)) % 0.37/0.62 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 0.37/0.62 (step @p139 :rule reordering :premises (@p138) :args ((or @t146 @t151))) % 0.37/0.62 (step @p140 :rule bool-double-not-elim :args (@t149)) % 0.37/0.62 (step @p141 :rule nary_cong :premises (@p135 @p140) :args ((or @t151 (not @t150)))) % 0.37/0.62 (step @p142 :rule cnf_or_neg :args (@t151 1)) % 0.37/0.62 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.37/0.62 (step @p144 :rule reordering :premises (@p143) :args ((or @t149 @t151))) % 0.37/0.62 (step @p145 :rule aci_norm :args ((= (or (or @t153 @t94) @t75) @t154))) % 0.37/0.62 (step @p146 :rule refl :args (@t75)) % 0.37/0.62 (step @p147 :rule bool-and-de-morgan :args (@t5 @t31 true)) % 0.37/0.62 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t73) @t75))) % 0.37/0.62 (step @p149 :rule trans :premises (@p148 @p145)) % 0.37/0.62 (step @p150 :rule bool-impl-elim :args (@t73 @t75)) % 0.37/0.62 (step @p151 :rule trans :premises (@p150 @p149)) % 0.37/0.62 (step @p152 :rule cong :premises (@p151) :args (@t77)) % 0.37/0.62 (step @p153 :rule eq_resolve :premises (@p21 @p152)) % 0.37/0.62 (step @p154 :rule instantiate :premises (@p153) :args ((@list @t105 @t104 @t103 @t143 @t128))) % 0.37/0.62 (step @p155 :rule cnf_or_pos :args (@t156)) % 0.37/0.62 (step @p156 :rule reordering :premises (@p155) :args ((or @t132 @t147 @t155 (not @t156)))) % 0.37/0.62 (step @p157 :rule cnf_or_pos :args (@t148)) % 0.37/0.62 (step @p158 :rule reordering :premises (@p157) :args ((or @t147 @t145 (not @t148)))) % 0.37/0.62 (step @p159 :rule cnf_equiv_pos1 :args (@t155)) % 0.37/0.62 (step @p160 :rule reordering :premises (@p159) :args ((or @t150 @t144 (not @t155)))) % 0.37/0.62 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p156 @p154 @p144 @p139 @p133 @p124 @p119 @p117 @p94 @p89) :args (@t133 (@list true false false false false true false true false false false) (@list @t144 @t155 @t156 @t149 @t146 @t151 @t148 @t140 @t142 @t130 @t129))) % 0.37/0.62 (step @p162 :rule refl :args (@t157)) % 0.37/0.62 (step @p163 :rule bool-double-not-elim :args (@t127)) % 0.37/0.62 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or (not @t158) @t157))) % 0.37/0.62 (assume-push @p316 @t158) % 0.37/0.62 (step @p166 :rule skolemize :premises (@p316)) % 0.37/0.62 (step-pop @p317 :rule scope :premises (@p166)) % 0.37/0.62 (step @p167 :rule process_scope :premises (@p317) :args (@t157)) % 0.37/0.62 (step @p169 :rule implies_elim :premises (@p167)) % 0.37/0.62 (step @p170 :rule eq_resolve :premises (@p169 @p164)) % 0.37/0.62 (step @p171 :rule chain_m_resolution :premises (@p170 @p161) :args (@t127 @t120 (@list @t133))) % 0.37/0.62 (step @p172 :rule aci_norm :args ((= (or @t164 @t163) (or @t153 @t162 @t161 @t160 @t159 @t19)))) % 0.37/0.62 (step @p173 :rule aci_norm :args ((= (or (or @t160 @t159) @t19) @t163))) % 0.37/0.62 (step @p174 :rule refl :args (@t19)) % 0.37/0.62 (step @p175 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.37/0.62 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or (not @t23) @t19))) % 0.37/0.62 (step @p177 :rule trans :premises (@p176 @p173)) % 0.37/0.62 (step @p178 :rule bool-impl-elim :args (@t23 @t19)) % 0.37/0.62 (step @p179 :rule trans :premises (@p178 @p177)) % 0.37/0.62 (step @p180 :rule aci_norm :args ((= (or @t153 (or @t162 @t161)) @t164))) % 0.37/0.62 (step @p181 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.37/0.62 (step @p182 :rule refl :args (@t153)) % 0.37/0.62 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t153 (not (and @t26 @t25))))) % 0.37/0.62 (step @p184 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 0.37/0.62 (step @p185 :rule trans :premises (@p184 @p183)) % 0.37/0.62 (step @p186 :rule trans :premises (@p185 @p180)) % 0.37/0.62 (step @p187 :rule nary_cong :premises (@p186 @p179) :args ((or (not @t27) @t24))) % 0.37/0.62 (step @p188 :rule trans :premises (@p187 @p172)) % 0.37/0.62 (step @p189 :rule bool-impl-elim :args (@t27 @t24)) % 0.37/0.62 (step @p190 :rule trans :premises (@p189 @p188)) % 0.37/0.62 (step @p191 :rule cong :premises (@p190) :args (@t29)) % 0.37/0.62 (step @p192 :rule bool-impl-elim :args (@t5 @t165)) % 0.37/0.62 (step @p193 :rule cong :premises (@p192) :args ((forall @t6 (=> @t5 @t165)))) % 0.37/0.62 (step @p194 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.37/0.62 (step @p195 :rule cong :premises (@p194) :args (@t166)) % 0.37/0.62 (step @p196 :rule cong :premises (@p195) :args (@t167)) % 0.37/0.62 (step @p197 :rule exists-elim :args ((= @t33 @t167))) % 0.37/0.62 (step @p198 :rule trans :premises (@p197 @p196)) % 0.37/0.62 (step @p199 :rule refl :args (@t5)) % 0.37/0.62 (step @p200 :rule cong :premises (@p199 @p198) :args (@t34)) % 0.37/0.62 (step @p201 :rule cong :premises (@p200) :args (@t35)) % 0.37/0.62 (step @p202 :rule trans :premises (@p201 @p193)) % 0.37/0.62 (step @p203 :rule nary_cong :premises (@p202 @p191) :args (@t36)) % 0.37/0.62 (step @p204 :rule refl :args (@t37)) % 0.37/0.62 (step @p205 :rule cong :premises (@p204 @p203) :args (@t38)) % 0.37/0.62 (step @p206 :rule cong :premises (@p205) :args (@t40)) % 0.37/0.62 (step @p207 :rule eq_resolve :premises (@p12 @p206)) % 0.37/0.62 (step @p208 :rule instantiate :premises (@p207) :args ((@list @t108 @t103 @t104))) % 0.37/0.62 (step @p209 :rule cnf_or_neg :args (@t111 2)) % 0.37/0.62 (step @p210 :rule chain_m_resolution :premises (@p209 @p67) :args ((not @t109) @t112 @t113)) % 0.37/0.62 (step @p211 :rule cnf_equiv_pos2 :args (@t170)) % 0.37/0.62 (step @p212 :rule reordering :premises (@p211) :args ((or @t109 @t171 (not @t170)))) % 0.37/0.62 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p208) :args (@t171 @t172 (@list @t109 @t170))) % 0.37/0.62 (step @p214 :rule cnf_and_neg :args (@t169)) % 0.37/0.62 (step @p215 :rule chain_m_resolution :premises (@p214 @p213 @p171) :args (@t173 @t172 (@list @t169 @t127))) % 0.37/0.62 (step @p216 :rule refl :args (@t189)) % 0.37/0.62 (step @p217 :rule bool-double-not-elim :args (@t168)) % 0.37/0.62 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or (not @t173) @t189))) % 0.37/0.62 (assume-push @p318 @t173) % 0.37/0.62 (step @p220 :rule skolemize :premises (@p318)) % 0.37/0.62 (step-pop @p319 :rule scope :premises (@p220)) % 0.37/0.62 (step @p221 :rule process_scope :premises (@p319) :args (@t189)) % 0.37/0.62 (step @p223 :rule implies_elim :premises (@p221)) % 0.37/0.62 (step @p224 :rule eq_resolve :premises (@p223 @p218)) % 0.37/0.62 (step @p225 :rule chain_m_resolution :premises (@p224 @p215) :args (@t189 @t112 (@list @t168))) % 0.37/0.62 (step @p226 :rule bool-double-not-elim :args (@t186)) % 0.37/0.62 (step @p227 :rule refl :args (@t188)) % 0.37/0.62 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or @t188 (not @t187)))) % 0.37/0.62 (step @p229 :rule cnf_or_neg :args (@t188 0)) % 0.37/0.62 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 0.37/0.62 (step @p231 :rule reordering :premises (@p230) :args ((or @t186 @t188))) % 0.37/0.62 (step @p232 :rule bool-double-not-elim :args (@t182)) % 0.37/0.62 (step @p233 :rule nary_cong :premises (@p227 @p232) :args ((or @t188 (not @t183)))) % 0.37/0.62 (step @p234 :rule cnf_or_neg :args (@t188 2)) % 0.37/0.62 (step @p235 :rule eq_resolve :premises (@p234 @p233)) % 0.37/0.62 (step @p236 :rule reordering :premises (@p235) :args ((or @t182 @t188))) % 0.37/0.62 (step @p237 :rule eq-symm :args (@t190 @t178)) % 0.37/0.62 (step @p238 :rule refl :args (@t187)) % 0.37/0.62 (step @p239 :rule refl :args (@t183)) % 0.37/0.62 (step @p240 :rule nary_cong :premises (@p239 @p238 @p237) :args (@t191)) % 0.37/0.62 (step @p241 :rule refl :args (@t192)) % 0.37/0.62 (step @p242 :rule cong :premises (@p241 @p240) :args ((=> @t192 @t191))) % 0.37/0.62 (assume-push @p320 @t192) % 0.37/0.62 (step @p244 :rule instantiate :premises (@p153) :args ((@list @t105 @t104 @t103 @t174 @t177))) % 0.37/0.62 (step-pop @p321 :rule scope :premises (@p244)) % 0.37/0.62 (step @p245 :rule process_scope :premises (@p321) :args (@t191)) % 0.37/0.62 (step @p247 :rule eq_resolve :premises (@p245 @p242)) % 0.37/0.62 (step @p248 :rule implies_elim :premises (@p247)) % 0.37/0.62 (step @p249 :rule chain_m_resolution :premises (@p248 @p153) :args (@t194 @t120 @t195)) % 0.37/0.62 (step @p250 :rule cnf_or_pos :args (@t194)) % 0.37/0.62 (step @p251 :rule reordering :premises (@p250) :args ((or @t187 @t183 @t193 (not @t194)))) % 0.37/0.62 (step @p252 :rule chain_m_resolution :premises (@p251 @p249 @p236 @p231) :args ((or @t188 @t193) @t196 (@list @t194 @t182 @t186))) % 0.37/0.62 (step @p253 :rule chain_m_resolution :premises (@p252 @p225) :args (@t193 @t112 @t197)) % 0.37/0.62 (step @p254 :rule bool-double-not-elim :args (@t178)) % 0.37/0.62 (step @p255 :rule nary_cong :premises (@p227 @p254) :args ((or @t188 (not @t179)))) % 0.37/0.62 (step @p256 :rule cnf_or_neg :args (@t188 4)) % 0.37/0.62 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 0.37/0.62 (step @p258 :rule reordering :premises (@p257) :args ((or @t178 @t188))) % 0.37/0.62 (step @p259 :rule chain_m_resolution :premises (@p258 @p225) :args (@t178 @t112 @t197)) % 0.37/0.62 (step @p260 :rule cnf_equiv_pos1 :args (@t193)) % 0.37/0.62 (step @p261 :rule reordering :premises (@p260) :args ((or @t179 @t190 (not @t193)))) % 0.37/0.62 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p253) :args (@t190 @t118 (@list @t178 @t193))) % 0.37/0.62 (step @p263 :rule eq-symm :args (@t198 @t180)) % 0.37/0.62 (step @p264 :rule refl :args (@t185)) % 0.37/0.62 (step @p265 :rule nary_cong :premises (@p264 @p238 @p263) :args (@t199)) % 0.37/0.62 (step @p266 :rule cong :premises (@p241 @p265) :args ((=> @t192 @t199))) % 0.37/0.62 (assume-push @p322 @t192) % 0.37/0.62 (step @p268 :rule instantiate :premises (@p153) :args ((@list @t105 @t104 @t103 @t175 @t177))) % 0.37/0.62 (step-pop @p323 :rule scope :premises (@p268)) % 0.37/0.62 (step @p269 :rule process_scope :premises (@p323) :args (@t199)) % 0.37/0.62 (step @p271 :rule eq_resolve :premises (@p269 @p266)) % 0.37/0.62 (step @p272 :rule implies_elim :premises (@p271)) % 0.37/0.62 (step @p273 :rule chain_m_resolution :premises (@p272 @p153) :args (@t201 @t120 @t195)) % 0.46/0.63 (step @p274 :rule bool-double-not-elim :args (@t184)) % 0.46/0.63 (step @p275 :rule nary_cong :premises (@p227 @p274) :args ((or @t188 (not @t185)))) % 0.46/0.63 (step @p276 :rule cnf_or_neg :args (@t188 1)) % 0.46/0.63 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.46/0.63 (step @p278 :rule reordering :premises (@p277) :args ((or @t184 @t188))) % 0.46/0.63 (step @p279 :rule chain_m_resolution :premises (@p278 @p225) :args (@t184 @t112 @t197)) % 0.46/0.63 (step @p280 :rule chain_m_resolution :premises (@p231 @p225) :args (@t186 @t112 @t197)) % 0.46/0.63 (step @p281 :rule cnf_or_pos :args (@t201)) % 0.46/0.63 (step @p282 :rule reordering :premises (@p281) :args ((or @t187 @t185 @t200 (not @t201)))) % 0.46/0.63 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p279 @p273) :args (@t200 @t196 (@list @t186 @t184 @t201))) % 0.46/0.63 (step @p284 :rule bool-double-not-elim :args (@t180)) % 0.46/0.63 (step @p285 :rule nary_cong :premises (@p227 @p284) :args ((or @t188 (not @t181)))) % 0.46/0.63 (step @p286 :rule cnf_or_neg :args (@t188 3)) % 0.46/0.63 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 0.46/0.63 (step @p288 :rule reordering :premises (@p287) :args ((or @t180 @t188))) % 0.46/0.63 (step @p289 :rule chain_m_resolution :premises (@p288 @p225) :args (@t180 @t112 @t197)) % 0.46/0.63 (step @p290 :rule cnf_equiv_pos1 :args (@t200)) % 0.46/0.63 (step @p291 :rule reordering :premises (@p290) :args ((or @t181 @t198 (not @t200)))) % 0.46/0.63 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p283) :args (@t198 @t118 (@list @t180 @t200))) % 0.46/0.63 (step @p293 :rule cnf_or_neg :args (@t188 5)) % 0.46/0.63 (step @p294 :rule chain_m_resolution :premises (@p293 @p225) :args ((not @t176) @t112 @t197)) % 0.46/0.63 (step @p295 :rule chain_m_resolution :premises (@p236 @p225) :args (@t182 @t112 @t197)) % 0.46/0.63 (step @p296 :rule cnf_or_pos :args (@t204)) % 0.46/0.63 (step @p297 :rule reordering :premises (@p296) :args ((or @t187 @t185 @t183 @t176 @t202 @t203 @t205))) % 0.46/0.63 (step @p298 :rule chain_m_resolution :premises (@p297 @p280 @p279 @p295 @p294 @p292 @p262) :args (@t205 (@list false false false true false false) (@list @t186 @t184 @t182 @t176 @t198 @t190))) % 0.46/0.63 (step @p299 :rule eq-symm :args (@t174 @t175)) % 0.46/0.63 (step @p300 :rule refl :args (@t202)) % 0.46/0.63 (step @p301 :rule refl :args (@t203)) % 0.46/0.63 (step @p302 :rule nary_cong :premises (@p239 @p264 @p238 @p301 @p300 @p299) :args (@t206)) % 0.46/0.63 (step @p303 :rule refl :args (@t123)) % 0.46/0.63 (step @p304 :rule cong :premises (@p303 @p302) :args ((=> @t123 @t206))) % 0.46/0.63 (assume-push @p324 @t123) % 0.46/0.63 (step @p306 :rule instantiate :premises (@p83) :args ((@list @t174 @t175 @t177))) % 0.46/0.63 (step-pop @p325 :rule scope :premises (@p306)) % 0.46/0.63 (step @p307 :rule process_scope :premises (@p325) :args (@t206)) % 0.46/0.63 (step @p309 :rule eq_resolve :premises (@p307 @p304)) % 0.46/0.63 (step @p310 :rule implies_elim :premises (@p309)) % 0.46/0.63 (step @p311 false :rule chain_m_resolution :premises (@p310 @p298 @p83) :args (false @t172 (@list @t204 @t123))) % 0.46/0.63 ) % 0.46/0.63 % SZS output end Proof % 0.46/0.63 % cvc5 exiting %------------------------------------------------------------------------------