%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET730+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 : n009.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 0.45s 0.68s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET730+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:10:14 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.68 % SZS status Theorem % 0.45/0.68 % SZS output start Proof % 0.45/0.68 ( % 0.45/0.68 (declare-sort $$unsorted 0) % 0.45/0.68 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.empty_set $$unsorted) % 0.45/0.68 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (define @t1 () (@var "B" $$unsorted)) % 0.45/0.68 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.68 (define @t3 () (tptp.member @t2 @t1)) % 0.45/0.68 (define @t4 () (@var "A" $$unsorted)) % 0.45/0.68 (define @t5 () (tptp.member @t2 @t4)) % 0.45/0.68 (define @t6 () (@list @t2)) % 0.45/0.68 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.45/0.68 (define @t8 () (tptp.subset @t4 @t1)) % 0.45/0.68 (define @t9 () (= @t8 @t7)) % 0.45/0.68 (define @t10 () (@list @t4 @t1)) % 0.45/0.68 (define @t11 () (forall @t10 @t9)) % 0.45/0.68 (define @t12 () (@list @t2 @t4)) % 0.45/0.68 (define @t13 () (@list @t2 @t4 @t1)) % 0.45/0.68 (define @t14 () (@var "E" $$unsorted)) % 0.45/0.68 (define @t15 () (= @t2 @t4)) % 0.45/0.68 (define @t16 () (@var "Y" $$unsorted)) % 0.45/0.68 (define @t17 () (tptp.member @t2 @t16)) % 0.45/0.68 (define @t18 () (tptp.member @t16 @t4)) % 0.45/0.68 (define @t19 () (@list @t16)) % 0.45/0.68 (define @t20 () (@var "Y2" $$unsorted)) % 0.45/0.68 (define @t21 () (@var "Y1" $$unsorted)) % 0.45/0.68 (define @t22 () (= @t21 @t20)) % 0.45/0.68 (define @t23 () (@var "F" $$unsorted)) % 0.45/0.68 (define @t24 () (tptp.apply @t23 @t2 @t20)) % 0.45/0.68 (define @t25 () (tptp.apply @t23 @t2 @t21)) % 0.45/0.68 (define @t26 () (and @t25 @t24)) % 0.45/0.68 (define @t27 () (=> @t26 @t22)) % 0.45/0.68 (define @t28 () (tptp.member @t20 @t1)) % 0.45/0.68 (define @t29 () (tptp.member @t21 @t1)) % 0.45/0.68 (define @t30 () (and @t5 @t29 @t28)) % 0.45/0.68 (define @t31 () (@list @t2 @t21 @t20)) % 0.45/0.68 (define @t32 () (forall @t31 (=> @t30 @t27))) % 0.45/0.68 (define @t33 () (tptp.apply @t23 @t2 @t16)) % 0.45/0.68 (define @t34 () (tptp.member @t16 @t1)) % 0.45/0.68 (define @t35 () (and @t34 @t33)) % 0.45/0.68 (define @t36 () (exists @t19 @t35)) % 0.45/0.68 (define @t37 () (=> @t5 @t36)) % 0.45/0.68 (define @t38 () (forall @t6 @t37)) % 0.45/0.68 (define @t39 () (and @t38 @t32)) % 0.45/0.68 (define @t40 () (tptp.maps @t23 @t4 @t1)) % 0.45/0.68 (define @t41 () (= @t40 @t39)) % 0.45/0.68 (define @t42 () (@list @t23 @t4 @t1)) % 0.45/0.68 (define @t43 () (forall @t42 @t41)) % 0.45/0.68 (define @t44 () (@var "Z" $$unsorted)) % 0.45/0.68 (define @t45 () (@var "G" $$unsorted)) % 0.45/0.68 (define @t46 () (exists @t19 (and @t34 @t33 (tptp.apply @t45 @t16 @t44)))) % 0.45/0.68 (define @t47 () (@var "H" $$unsorted)) % 0.45/0.68 (define @t48 () (@var "C" $$unsorted)) % 0.45/0.68 (define @t49 () (and @t5 (tptp.member @t44 @t48))) % 0.45/0.68 (define @t50 () (@list @t23 @t45 @t4 @t1)) % 0.45/0.68 (define @t51 () (@var "X2" $$unsorted)) % 0.45/0.68 (define @t52 () (@var "X1" $$unsorted)) % 0.45/0.68 (define @t53 () (tptp.member @t51 @t4)) % 0.45/0.68 (define @t54 () (tptp.member @t52 @t4)) % 0.45/0.68 (define @t55 () (tptp.injective @t23 @t4 @t1)) % 0.45/0.68 (define @t56 () (tptp.surjective @t23 @t4 @t1)) % 0.45/0.68 (define @t57 () (tptp.one_to_one @t23 @t4 @t1)) % 0.45/0.68 (define @t58 () (and @t5 @t34)) % 0.45/0.68 (define @t59 () (@list @t2 @t16)) % 0.45/0.68 (define @t60 () (and @t5 @t33)) % 0.45/0.68 (define @t61 () (exists @t6 @t60)) % 0.45/0.68 (define @t62 () (tptp.image2 @t23 @t4)) % 0.45/0.68 (define @t63 () (tptp.member @t16 @t62)) % 0.45/0.68 (define @t64 () (= @t63 @t61)) % 0.45/0.68 (define @t65 () (forall (@list @t23 @t4 @t16) @t64)) % 0.45/0.68 (define @t66 () (@var "S" $$unsorted)) % 0.45/0.68 (define @t67 () (tptp.apply @t66 @t21 @t20)) % 0.45/0.68 (define @t68 () (tptp.apply @t23 @t51 @t20)) % 0.45/0.68 (define @t69 () (tptp.apply @t23 @t52 @t21)) % 0.45/0.68 (define @t70 () (@var "R" $$unsorted)) % 0.45/0.68 (define @t71 () (tptp.apply @t70 @t52 @t51)) % 0.45/0.68 (define @t72 () (and @t54 @t29 @t53 @t28 @t71 @t69 @t68)) % 0.45/0.68 (define @t73 () (@list @t52 @t21 @t51 @t20)) % 0.45/0.68 (define @t74 () (@list @t23 @t4 @t70 @t1 @t66)) % 0.45/0.68 (define @t75 () (tptp.maps @t45 @t4 @t48)) % 0.45/0.68 (define @t76 () (tptp.apply @t45 @t2 @t16)) % 0.45/0.68 (define @t77 () (tptp.member @t16 @t48)) % 0.45/0.68 (define @t78 () (and @t5 @t77)) % 0.45/0.68 (define @t79 () (=> @t78 (= @t76 @t33))) % 0.45/0.68 (define @t80 () (forall @t59 @t79)) % 0.45/0.68 (define @t81 () (tptp.subset @t48 @t1)) % 0.45/0.68 (define @t82 () (and @t40 @t81 (= @t62 @t48) @t80)) % 0.45/0.68 (define @t83 () (=> @t82 @t75)) % 0.45/0.68 (define @t84 () (@list @t23 @t45 @t4 @t1 @t48)) % 0.45/0.68 (define @t85 () (forall @t84 @t83)) % 0.45/0.68 (define @t86 () (not @t85)) % 0.45/0.68 (define @t87 () (forall @t6 (not @t60))) % 0.45/0.68 (define @t88 () (not @t87)) % 0.45/0.68 (define @t89 () (tptp.maps @t45 @t4 @t62)) % 0.45/0.68 (define @t90 () (= @t33 @t76)) % 0.45/0.68 (define @t91 () (not @t5)) % 0.45/0.68 (define @t92 () (not (forall @t59 (or @t91 (not @t63) @t90)))) % 0.45/0.68 (define @t93 () (not (tptp.subset @t62 @t1))) % 0.45/0.68 (define @t94 () (not @t40)) % 0.45/0.68 (define @t95 () (or @t94 @t93 @t92 @t89)) % 0.45/0.68 (define @t96 () (forall @t50 @t95)) % 0.45/0.68 (define @t97 () (@quantifiers_skolemize @t96 1)) % 0.45/0.68 (define @t98 () (tptp.apply @t97 @t2 @t16)) % 0.45/0.68 (define @t99 () (@quantifiers_skolemize @t96 2)) % 0.45/0.68 (define @t100 () (@quantifiers_skolemize @t96 0)) % 0.45/0.68 (define @t101 () (tptp.image2 @t100 @t99)) % 0.45/0.68 (define @t102 () (not (tptp.member @t16 @t101))) % 0.45/0.68 (define @t103 () (not (tptp.member @t2 @t99))) % 0.45/0.68 (define @t104 () (forall @t6 (or @t103 (not (forall @t19 (or @t102 (not @t98))))))) % 0.45/0.68 (define @t105 () (@quantifiers_skolemize @t104 0)) % 0.45/0.68 (define @t106 () (@quantifiers_skolemize @t96 3)) % 0.45/0.68 (define @t107 () (not (tptp.member @t16 @t106))) % 0.45/0.68 (define @t108 () (forall @t19 (or @t107 (not (tptp.apply @t100 @t105 @t16))))) % 0.45/0.68 (define @t109 () (@quantifiers_skolemize @t108 0)) % 0.45/0.68 (define @t110 () (forall @t31 (or @t103 (not (tptp.member @t21 @t101)) (not (tptp.member @t20 @t101)) (not (tptp.apply @t97 @t2 @t21)) (not (tptp.apply @t97 @t2 @t20)) @t22))) % 0.45/0.68 (define @t111 () (@quantifiers_skolemize @t110 0)) % 0.45/0.68 (define @t112 () (tptp.member @t111 @t99)) % 0.45/0.68 (define @t113 () (@quantifiers_skolemize @t110 2)) % 0.45/0.68 (define @t114 () (@quantifiers_skolemize @t110 1)) % 0.45/0.68 (define @t115 () (= @t114 @t113)) % 0.45/0.68 (define @t116 () (tptp.apply @t97 @t111 @t113)) % 0.45/0.68 (define @t117 () (not @t116)) % 0.45/0.68 (define @t118 () (tptp.apply @t97 @t111 @t114)) % 0.45/0.68 (define @t119 () (not @t118)) % 0.45/0.68 (define @t120 () (tptp.member @t113 @t101)) % 0.45/0.68 (define @t121 () (not @t120)) % 0.45/0.68 (define @t122 () (tptp.member @t114 @t101)) % 0.45/0.68 (define @t123 () (not @t122)) % 0.45/0.68 (define @t124 () (not @t112)) % 0.45/0.68 (define @t125 () (or @t124 @t123 @t121 @t119 @t117 @t115)) % 0.45/0.68 (define @t126 () (not (= @t62 @t62))) % 0.45/0.68 (define @t127 () (or @t94 @t93 @t126 @t92 @t89)) % 0.45/0.68 (define @t128 () (not @t77)) % 0.45/0.68 (define @t129 () (or @t91 @t128 @t90)) % 0.45/0.68 (define @t130 () (forall @t59 @t129)) % 0.45/0.68 (define @t131 () (not @t130)) % 0.45/0.68 (define @t132 () (= @t48 @t62)) % 0.45/0.68 (define @t133 () (not @t132)) % 0.45/0.68 (define @t134 () (not @t81)) % 0.45/0.68 (define @t135 () (or @t133 @t94 @t134 @t133 @t131 @t75)) % 0.45/0.68 (define @t136 () (@list @t48)) % 0.45/0.68 (define @t137 () (or @t94 @t134 @t133 @t131 @t75)) % 0.45/0.68 (define @t138 () (forall @t136 @t137)) % 0.45/0.68 (define @t139 () (forall @t50 @t138)) % 0.45/0.68 (define @t140 () (or @t94 @t134 @t133 @t131)) % 0.45/0.68 (define @t141 () (and @t40 @t81 @t132 @t130)) % 0.45/0.68 (define @t142 () (tptp.apply @t100 @t2 @t16)) % 0.45/0.68 (define @t143 () (forall @t59 (or @t103 @t102 (= @t142 @t98)))) % 0.45/0.68 (define @t144 () (tptp.maps @t97 @t99 @t101)) % 0.45/0.68 (define @t145 () (not @t143)) % 0.45/0.68 (define @t146 () (tptp.subset @t101 @t106)) % 0.45/0.68 (define @t147 () (not @t146)) % 0.45/0.68 (define @t148 () (tptp.maps @t100 @t99 @t106)) % 0.45/0.68 (define @t149 () (not @t148)) % 0.45/0.68 (define @t150 () (or @t149 @t147 @t145 @t144)) % 0.45/0.68 (define @t151 () (@list true)) % 0.45/0.68 (define @t152 () (@list @t150)) % 0.45/0.68 (define @t153 () (tptp.apply @t100 @t111 @t113)) % 0.45/0.68 (define @t154 () (or @t124 @t121 (= @t153 @t116))) % 0.45/0.68 (define @t155 () (= @t116 @t153)) % 0.45/0.68 (define @t156 () (or @t124 @t121 @t155)) % 0.45/0.68 (define @t157 () (@list false)) % 0.45/0.68 (define @t158 () (@list @t143)) % 0.45/0.68 (define @t159 () (tptp.apply @t100 @t111 @t114)) % 0.45/0.68 (define @t160 () (or @t124 @t123 (= @t159 @t118))) % 0.45/0.68 (define @t161 () (= @t118 @t159)) % 0.45/0.68 (define @t162 () (or @t124 @t123 @t161)) % 0.45/0.68 (define @t163 () (forall @t6 (or (not (tptp.member @t2 @t101)) (tptp.member @t2 @t106)))) % 0.45/0.68 (define @t164 () (= @t146 @t163)) % 0.45/0.68 (define @t165 () (@list false false)) % 0.45/0.68 (define @t166 () (tptp.member @t114 @t106)) % 0.45/0.68 (define @t167 () (or @t123 @t166)) % 0.45/0.68 (define @t168 () (tptp.member @t113 @t106)) % 0.45/0.68 (define @t169 () (or @t121 @t168)) % 0.45/0.68 (define @t170 () (not @t24)) % 0.45/0.68 (define @t171 () (not @t25)) % 0.45/0.68 (define @t172 () (not @t28)) % 0.45/0.68 (define @t173 () (not @t29)) % 0.45/0.68 (define @t174 () (or @t91 @t173 @t172 @t171 @t170 @t22)) % 0.45/0.68 (define @t175 () (or @t171 @t170 @t22)) % 0.45/0.68 (define @t176 () (or @t91 @t173 @t172)) % 0.45/0.68 (define @t177 () (not (forall @t19 (or (not @t34) (not @t33))))) % 0.45/0.68 (define @t178 () (forall @t19 (not @t35))) % 0.45/0.68 (define @t179 () (not @t178)) % 0.45/0.68 (define @t180 () (forall @t31 (or @t103 (not (tptp.member @t21 @t106)) (not (tptp.member @t20 @t106)) (not (tptp.apply @t100 @t2 @t21)) (not (tptp.apply @t100 @t2 @t20)) @t22))) % 0.45/0.68 (define @t181 () (forall @t6 (or @t103 (not (forall @t19 (or @t107 (not @t142))))))) % 0.45/0.68 (define @t182 () (and @t181 @t180)) % 0.45/0.68 (define @t183 () (= @t148 @t182)) % 0.45/0.68 (define @t184 () (not @t182)) % 0.45/0.68 (define @t185 () (@list @t182)) % 0.45/0.68 (define @t186 () (not @t153)) % 0.45/0.68 (define @t187 () (not @t159)) % 0.45/0.68 (define @t188 () (not @t168)) % 0.45/0.68 (define @t189 () (not @t166)) % 0.45/0.68 (define @t190 () (or @t124 @t189 @t188 @t187 @t186 @t115)) % 0.45/0.68 (define @t191 () (not @t125)) % 0.45/0.68 (define @t192 () (not @t110)) % 0.45/0.68 (define @t193 () (and @t104 @t110)) % 0.45/0.68 (define @t194 () (= @t144 @t193)) % 0.45/0.68 (define @t195 () (not @t193)) % 0.45/0.68 (define @t196 () (@list true false)) % 0.45/0.68 (define @t197 () (not @t104)) % 0.45/0.68 (define @t198 () (forall @t19 (or @t102 (not (tptp.apply @t97 @t105 @t16))))) % 0.45/0.68 (define @t199 () (not @t198)) % 0.45/0.68 (define @t200 () (tptp.member @t105 @t99)) % 0.45/0.68 (define @t201 () (not @t200)) % 0.45/0.68 (define @t202 () (or @t201 @t199)) % 0.45/0.68 (define @t203 () (not @t202)) % 0.45/0.68 (define @t204 () (@list @t202)) % 0.45/0.68 (define @t205 () (tptp.apply @t97 @t105 @t109)) % 0.45/0.68 (define @t206 () (not @t205)) % 0.45/0.68 (define @t207 () (tptp.member @t109 @t101)) % 0.45/0.68 (define @t208 () (not @t207)) % 0.45/0.68 (define @t209 () (or @t208 @t206)) % 0.45/0.68 (define @t210 () (forall @t42 (= @t40 (and (forall @t6 (or @t91 @t177)) (forall @t31 @t174))))) % 0.45/0.68 (define @t211 () (not @t150)) % 0.45/0.68 (define @t212 () (not @t96)) % 0.45/0.68 (define @t213 () (@list @t105)) % 0.45/0.68 (define @t214 () (not @t108)) % 0.45/0.68 (define @t215 () (or @t201 @t214)) % 0.45/0.68 (define @t216 () (tptp.apply @t100 @t105 @t109)) % 0.45/0.68 (define @t217 () (not @t216)) % 0.45/0.68 (define @t218 () (or (not (tptp.member @t109 @t106)) @t217)) % 0.45/0.68 (define @t219 () (not @t218)) % 0.45/0.68 (define @t220 () (= @t216 @t205)) % 0.45/0.68 (define @t221 () (or @t201 @t208 @t220)) % 0.45/0.68 (define @t222 () (not @t209)) % 0.45/0.68 (define @t223 () (forall @t6 (or @t103 (not (tptp.apply @t100 @t2 @t109))))) % 0.45/0.68 (define @t224 () (not @t223)) % 0.45/0.68 (define @t225 () (= @t207 @t224)) % 0.45/0.68 (define @t226 () (not @t225)) % 0.45/0.68 (define @t227 () (or @t201 @t217)) % 0.45/0.68 (define @t228 () (not @t227)) % 0.45/0.68 (assume @p1 @t11) % 0.45/0.68 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.45/0.68 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.45/0.68 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.45/0.68 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.45/0.68 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.45/0.68 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 (tptp.difference @t14 @t4)) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.45/0.68 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t15))) % 0.45/0.68 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t15 (= @t2 @t1))))) % 0.45/0.68 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t19 (and @t18 @t17))))) % 0.45/0.68 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t19 (=> @t18 @t17))))) % 0.45/0.68 (assume @p12 @t43) % 0.45/0.68 (assume @p13 (forall (@list @t47 @t45 @t23 @t4 @t1 @t48) (= (tptp.compose_predicate @t47 @t45 @t23 @t4 @t1 @t48) (forall (@list @t2 @t44) (=> @t49 (= (tptp.apply @t47 @t2 @t44) @t46)))))) % 0.45/0.68 (assume @p14 (forall (@list @t45 @t23 @t4 @t1 @t48 @t2 @t44) (=> @t49 (= (tptp.apply (tptp.compose_function @t45 @t23 @t4 @t1 @t48) @t2 @t44) @t46)))) % 0.45/0.68 (assume @p15 (forall @t50 (= (tptp.equal_maps @t23 @t45 @t4 @t1) (forall @t31 (=> @t30 (=> (and @t25 (tptp.apply @t45 @t2 @t20)) @t22)))))) % 0.45/0.68 (assume @p16 (forall (@list @t23 @t4) (= (tptp.identity @t23 @t4) (forall @t6 (=> @t5 (tptp.apply @t23 @t2 @t2)))))) % 0.45/0.68 (assume @p17 (forall @t42 (= @t55 (forall (@list @t52 @t51 @t16) (=> (and @t54 @t53 @t34) (=> (and (tptp.apply @t23 @t52 @t16) (tptp.apply @t23 @t51 @t16)) (= @t52 @t51))))))) % 0.45/0.68 (assume @p18 (forall @t42 (= @t56 (forall @t19 (=> @t34 (exists (@list @t14) (and (tptp.member @t14 @t4) (tptp.apply @t23 @t14 @t16)))))))) % 0.45/0.68 (assume @p19 (forall @t42 (= @t57 (and @t55 @t56)))) % 0.45/0.68 (assume @p20 (forall (@list @t45 @t23 @t4 @t1) (= (tptp.inverse_predicate @t45 @t23 @t4 @t1) (forall @t59 (=> @t58 (= @t33 (tptp.apply @t45 @t16 @t2))))))) % 0.45/0.68 (assume @p21 (forall (@list @t23 @t4 @t1 @t2 @t16) (=> @t58 (= @t33 (tptp.apply (tptp.inverse_function @t23 @t4 @t1) @t16 @t2))))) % 0.45/0.68 (assume @p22 @t65) % 0.45/0.68 (assume @p23 (forall (@list @t23 @t4 @t1 @t16) (= (tptp.member @t16 (tptp.image3 @t23 @t4 @t1)) (and @t34 @t61)))) % 0.45/0.68 (assume @p24 (forall (@list @t23 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t23 @t1)) @t36))) % 0.45/0.68 (assume @p25 (forall (@list @t23 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t23 @t1 @t4)) (and @t5 @t36)))) % 0.45/0.68 (assume @p26 (forall @t74 (= (tptp.increasing @t23 @t4 @t70 @t1 @t66) (forall @t73 (=> @t72 @t67))))) % 0.45/0.68 (assume @p27 (forall @t74 (= (tptp.decreasing @t23 @t4 @t70 @t1 @t66) (forall @t73 (=> @t72 (tptp.apply @t66 @t20 @t21)))))) % 0.45/0.68 (assume @p28 (forall @t74 (= (tptp.isomorphism @t23 @t4 @t70 @t1 @t66) (and @t40 @t57 (forall @t73 (=> (and @t54 @t29 @t53 @t28 @t69 @t68) (= @t71 @t67))))))) % 0.45/0.68 (assume @p29 @t86) % 0.45/0.68 (assume @p30 true) % 0.45/0.68 (step @p31 :rule bool-and-de-morgan :args (@t5 @t33 true)) % 0.45/0.68 (step @p32 :rule cong :premises (@p31) :args (@t87)) % 0.45/0.68 (step @p33 :rule cong :premises (@p32) :args (@t88)) % 0.45/0.68 (step @p34 :rule exists-elim :args ((= @t61 @t88))) % 0.45/0.68 (step @p35 :rule trans :premises (@p34 @p33)) % 0.45/0.68 (step @p36 :rule refl :args (@t63)) % 0.45/0.68 (step @p37 :rule cong :premises (@p36 @p35) :args (@t64)) % 0.45/0.68 (step @p38 :rule cong :premises (@p37) :args (@t65)) % 0.45/0.68 (step @p39 :rule eq_resolve :premises (@p22 @p38)) % 0.45/0.68 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t100 @t99 @t109))) % 0.45/0.68 (step @p41 :rule bool-double-not-elim :args (@t112)) % 0.45/0.68 (step @p42 :rule refl :args (@t125)) % 0.45/0.68 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t125 (not @t124)))) % 0.45/0.68 (step @p44 :rule cnf_or_neg :args (@t125 0)) % 0.45/0.68 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.45/0.68 (step @p46 :rule reordering :premises (@p45) :args ((or @t112 @t125))) % 0.45/0.68 (step @p47 :rule bool-double-not-elim :args (@t122)) % 0.45/0.68 (step @p48 :rule nary_cong :premises (@p42 @p47) :args ((or @t125 (not @t123)))) % 0.45/0.68 (step @p49 :rule cnf_or_neg :args (@t125 1)) % 0.45/0.68 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.45/0.68 (step @p51 :rule reordering :premises (@p50) :args ((or @t122 @t125))) % 0.45/0.68 (step @p52 :rule bool-double-not-elim :args (@t120)) % 0.45/0.68 (step @p53 :rule nary_cong :premises (@p42 @p52) :args ((or @t125 (not @t121)))) % 0.45/0.68 (step @p54 :rule cnf_or_neg :args (@t125 2)) % 0.45/0.68 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.45/0.68 (step @p56 :rule reordering :premises (@p55) :args ((or @t120 @t125))) % 0.45/0.68 (step @p57 :rule bool-double-not-elim :args (@t118)) % 0.45/0.68 (step @p58 :rule nary_cong :premises (@p42 @p57) :args ((or @t125 (not @t119)))) % 0.45/0.68 (step @p59 :rule cnf_or_neg :args (@t125 3)) % 0.45/0.68 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.45/0.68 (step @p61 :rule reordering :premises (@p60) :args ((or @t118 @t125))) % 0.45/0.68 (step @p62 :rule bool-double-not-elim :args (@t116)) % 0.45/0.68 (step @p63 :rule nary_cong :premises (@p42 @p62) :args ((or @t125 (not @t117)))) % 0.45/0.68 (step @p64 :rule cnf_or_neg :args (@t125 4)) % 0.45/0.68 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.45/0.68 (step @p66 :rule reordering :premises (@p65) :args ((or @t116 @t125))) % 0.45/0.68 (step @p67 :rule cnf_or_neg :args (@t125 5)) % 0.45/0.68 (step @p68 :rule aci_norm :args ((= (or @t94 @t93 false @t92 @t89) @t95))) % 0.45/0.68 (step @p69 :rule refl :args (@t89)) % 0.45/0.68 (step @p70 :rule refl :args (@t92)) % 0.45/0.68 (step @p71 :rule evaluate :args ((not true))) % 0.45/0.68 (step @p72 :rule eq-refl :args (@t62)) % 0.45/0.68 (step @p73 :rule cong :premises (@p72) :args (@t126)) % 0.45/0.68 (step @p74 :rule trans :premises (@p73 @p71)) % 0.45/0.68 (step @p75 :rule refl :args (@t93)) % 0.45/0.68 (step @p76 :rule refl :args (@t94)) % 0.45/0.68 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74 @p70 @p69) :args (@t127)) % 0.45/0.68 (step @p78 :rule trans :premises (@p77 @p68)) % 0.45/0.68 (step @p79 :rule cong :premises (@p78) :args ((forall @t50 @t127))) % 0.45/0.68 (step @p80 :rule quant-var-elim-eq :args ((= (forall @t136 @t135) @t127))) % 0.45/0.68 (step @p81 :rule aci_norm :args ((= @t137 @t135))) % 0.45/0.68 (step @p82 :rule cong :premises (@p81) :args (@t138)) % 0.45/0.68 (step @p83 :rule trans :premises (@p82 @p80)) % 0.45/0.68 (step @p84 :rule cong :premises (@p83) :args (@t139)) % 0.45/0.68 (step @p85 :rule quant-merge-prenex :args ((= @t139 (forall @t84 @t137)))) % 0.45/0.68 (step @p86 :rule symm :premises (@p85)) % 0.45/0.68 (step @p87 :rule trans :premises (@p86 @p84)) % 0.45/0.68 (step @p88 :rule trans :premises (@p87 @p79)) % 0.45/0.68 (step @p89 :rule aci_norm :args ((= (or @t140 @t75) @t137))) % 0.45/0.68 (step @p90 :rule refl :args (@t75)) % 0.45/0.68 (step @p91 :rule aci_norm :args ((= (or @t94 (or @t134 (or @t133 @t131))) @t140))) % 0.45/0.68 (step @p92 :rule bool-and-de-morgan :args (@t132 @t130 true)) % 0.45/0.68 (step @p93 :rule refl :args (@t134)) % 0.45/0.68 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t134 (not (and @t132 @t130))))) % 0.45/0.68 (step @p95 :rule bool-and-de-morgan :args (@t81 @t132 (and @t130))) % 0.45/0.68 (step @p96 :rule trans :premises (@p95 @p94)) % 0.45/0.68 (step @p97 :rule refl :args (@t94)) % 0.45/0.68 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t94 (not (and @t81 @t132 @t130))))) % 0.45/0.68 (step @p99 :rule bool-and-de-morgan :args (@t40 @t81 (and @t132 @t130))) % 0.45/0.68 (step @p100 :rule trans :premises (@p99 @p98)) % 0.45/0.68 (step @p101 :rule trans :premises (@p100 @p91)) % 0.45/0.68 (step @p102 :rule nary_cong :premises (@p101 @p90) :args ((or (not @t141) @t75))) % 0.45/0.68 (step @p103 :rule trans :premises (@p102 @p89)) % 0.45/0.68 (step @p104 :rule bool-impl-elim :args (@t141 @t75)) % 0.45/0.68 (step @p105 :rule trans :premises (@p104 @p103)) % 0.45/0.68 (step @p106 :rule cong :premises (@p105) :args ((forall @t84 (=> @t141 @t75)))) % 0.45/0.68 (step @p107 :rule trans :premises (@p106 @p88)) % 0.45/0.68 (step @p108 :rule refl :args (@t75)) % 0.45/0.68 (step @p109 :rule aci_norm :args ((= (or (or @t91 @t128) @t90) @t129))) % 0.45/0.68 (step @p110 :rule refl :args (@t90)) % 0.45/0.68 (step @p111 :rule bool-and-de-morgan :args (@t5 @t77 true)) % 0.45/0.68 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t78) @t90))) % 0.45/0.68 (step @p113 :rule trans :premises (@p112 @p109)) % 0.45/0.68 (step @p114 :rule bool-impl-elim :args (@t78 @t90)) % 0.45/0.68 (step @p115 :rule trans :premises (@p114 @p113)) % 0.45/0.68 (step @p116 :rule cong :premises (@p115) :args ((forall @t59 (=> @t78 @t90)))) % 0.45/0.68 (step @p117 :rule eq-symm :args (@t76 @t33)) % 0.45/0.68 (step @p118 :rule refl :args (@t78)) % 0.45/0.68 (step @p119 :rule cong :premises (@p118 @p117) :args (@t79)) % 0.45/0.68 (step @p120 :rule cong :premises (@p119) :args (@t80)) % 0.45/0.68 (step @p121 :rule trans :premises (@p120 @p116)) % 0.45/0.68 (step @p122 :rule eq-symm :args (@t62 @t48)) % 0.45/0.68 (step @p123 :rule refl :args (@t81)) % 0.45/0.68 (step @p124 :rule refl :args (@t40)) % 0.45/0.68 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122 @p121) :args (@t82)) % 0.45/0.68 (step @p126 :rule cong :premises (@p125 @p108) :args (@t83)) % 0.45/0.68 (step @p127 :rule cong :premises (@p126) :args (@t85)) % 0.45/0.68 (step @p128 :rule trans :premises (@p127 @p107)) % 0.45/0.68 (step @p129 :rule cong :premises (@p128) :args (@t86)) % 0.45/0.68 (step @p130 :rule eq_resolve :premises (@p29 @p129)) % 0.45/0.68 (step @p131 :rule skolemize :premises (@p130)) % 0.45/0.68 (step @p132 :rule bool-double-not-elim :args (@t143)) % 0.45/0.68 (step @p133 :rule refl :args (@t150)) % 0.45/0.68 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t150 (not @t145)))) % 0.45/0.68 (step @p135 :rule cnf_or_neg :args (@t150 2)) % 0.45/0.68 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.45/0.68 (step @p137 :rule reordering :premises (@p136) :args ((or @t143 @t150))) % 0.45/0.68 (step @p138 :rule chain_m_resolution :premises (@p137 @p131) :args (@t143 @t151 @t152)) % 0.45/0.68 (step @p139 :rule eq-symm :args (@t153 @t116)) % 0.45/0.68 (step @p140 :rule refl :args (@t121)) % 0.45/0.68 (step @p141 :rule refl :args (@t124)) % 0.45/0.68 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139) :args (@t154)) % 0.45/0.68 (step @p143 :rule refl :args (@t143)) % 0.45/0.68 (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t143 @t154))) % 0.45/0.68 (assume-push @p360 @t143) % 0.45/0.68 (step @p146 :rule instantiate :premises (@p138) :args ((@list @t111 @t113))) % 0.45/0.68 (step-pop @p361 :rule scope :premises (@p146)) % 0.45/0.68 (step @p147 :rule process_scope :premises (@p361) :args (@t154)) % 0.45/0.68 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 0.45/0.68 (step @p150 :rule implies_elim :premises (@p149)) % 0.45/0.68 (step @p151 :rule chain_m_resolution :premises (@p150 @p138) :args (@t156 @t157 @t158)) % 0.45/0.68 (step @p152 :rule cnf_or_pos :args (@t156)) % 0.45/0.68 (step @p153 :rule reordering :premises (@p152) :args ((or @t124 @t121 @t155 (not @t156)))) % 0.45/0.68 (step @p154 :rule eq-symm :args (@t159 @t118)) % 0.45/0.68 (step @p155 :rule refl :args (@t123)) % 0.45/0.68 (step @p156 :rule nary_cong :premises (@p141 @p155 @p154) :args (@t160)) % 0.45/0.68 (step @p157 :rule cong :premises (@p143 @p156) :args ((=> @t143 @t160))) % 0.45/0.68 (assume-push @p362 @t143) % 0.45/0.68 (step @p159 :rule instantiate :premises (@p138) :args ((@list @t111 @t114))) % 0.45/0.68 (step-pop @p363 :rule scope :premises (@p159)) % 0.45/0.68 (step @p160 :rule process_scope :premises (@p363) :args (@t160)) % 0.45/0.68 (step @p162 :rule eq_resolve :premises (@p160 @p157)) % 0.45/0.68 (step @p163 :rule implies_elim :premises (@p162)) % 0.45/0.68 (step @p164 :rule chain_m_resolution :premises (@p163 @p138) :args (@t162 @t157 @t158)) % 0.45/0.68 (step @p165 :rule cnf_or_pos :args (@t162)) % 0.45/0.68 (step @p166 :rule reordering :premises (@p165) :args ((or @t124 @t123 @t161 (not @t162)))) % 0.45/0.68 (step @p167 :rule bool-impl-elim :args (@t5 @t3)) % 0.45/0.68 (step @p168 :rule cong :premises (@p167) :args (@t7)) % 0.45/0.68 (step @p169 :rule refl :args (@t8)) % 0.45/0.68 (step @p170 :rule cong :premises (@p169 @p168) :args (@t9)) % 0.45/0.68 (step @p171 :rule cong :premises (@p170) :args (@t11)) % 0.45/0.68 (step @p172 :rule eq_resolve :premises (@p1 @p171)) % 0.45/0.68 (step @p173 :rule instantiate :premises (@p172) :args ((@list @t101 @t106))) % 0.45/0.68 (step @p174 :rule bool-double-not-elim :args (@t146)) % 0.45/0.68 (step @p175 :rule nary_cong :premises (@p133 @p174) :args ((or @t150 (not @t147)))) % 0.45/0.68 (step @p176 :rule cnf_or_neg :args (@t150 1)) % 0.45/0.68 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 0.45/0.68 (step @p178 :rule reordering :premises (@p177) :args ((or @t146 @t150))) % 0.45/0.68 (step @p179 :rule chain_m_resolution :premises (@p178 @p131) :args (@t146 @t151 @t152)) % 0.45/0.68 (step @p180 :rule cnf_equiv_pos1 :args (@t164)) % 0.45/0.68 (step @p181 :rule reordering :premises (@p180) :args ((or @t147 @t163 (not @t164)))) % 0.45/0.68 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p173) :args (@t163 @t165 (@list @t146 @t164))) % 0.45/0.68 (step @p183 :rule instantiate :premises (@p182) :args ((@list @t114))) % 0.45/0.68 (step @p184 :rule cnf_or_pos :args (@t167)) % 0.45/0.68 (step @p185 :rule reordering :premises (@p184) :args ((or @t123 @t166 (not @t167)))) % 0.45/0.68 (step @p186 :rule instantiate :premises (@p182) :args ((@list @t113))) % 0.45/0.68 (step @p187 :rule cnf_or_pos :args (@t169)) % 0.45/0.68 (step @p188 :rule reordering :premises (@p187) :args ((or @t121 @t168 (not @t169)))) % 0.45/0.68 (step @p189 :rule cnf_equiv_pos1 :args (@t161)) % 0.45/0.68 (step @p190 :rule reordering :premises (@p189) :args ((or @t119 @t159 (not @t161)))) % 0.45/0.68 (step @p191 :rule cnf_equiv_pos1 :args (@t155)) % 0.45/0.68 (step @p192 :rule reordering :premises (@p191) :args ((or @t117 @t153 (not @t155)))) % 0.45/0.68 (step @p193 :rule aci_norm :args ((= (or @t176 @t175) @t174))) % 0.45/0.68 (step @p194 :rule aci_norm :args ((= (or (or @t171 @t170) @t22) @t175))) % 0.45/0.68 (step @p195 :rule refl :args (@t22)) % 0.45/0.68 (step @p196 :rule bool-and-de-morgan :args (@t25 @t24 true)) % 0.45/0.68 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or (not @t26) @t22))) % 0.45/0.68 (step @p198 :rule trans :premises (@p197 @p194)) % 0.45/0.68 (step @p199 :rule bool-impl-elim :args (@t26 @t22)) % 0.45/0.68 (step @p200 :rule trans :premises (@p199 @p198)) % 0.45/0.68 (step @p201 :rule aci_norm :args ((= (or @t91 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process_scope :premises (@p365) :args (@t191)) % 0.45/0.68 (step @p252 :rule implies_elim :premises (@p250)) % 0.45/0.68 (step @p253 :rule eq_resolve :premises (@p252 @p247)) % 0.45/0.68 (step @p254 :rule chain_m_resolution :premises (@p253 @p244) :args (@t110 @t157 (@list @t125))) % 0.45/0.68 (step @p255 :rule instantiate :premises (@p227) :args ((@list @t97 @t99 @t101))) % 0.45/0.68 (step @p256 :rule cnf_or_neg :args (@t150 3)) % 0.45/0.68 (step @p257 :rule chain_m_resolution :premises (@p256 @p131) :args ((not @t144) @t151 @t152)) % 0.45/0.68 (step @p258 :rule cnf_equiv_pos2 :args (@t194)) % 0.45/0.68 (step @p259 :rule reordering :premises (@p258) :args ((or @t144 @t195 (not @t194)))) % 0.45/0.68 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p255) :args (@t195 @t196 (@list @t144 @t194))) % 0.45/0.68 (step @p261 :rule cnf_and_neg :args (@t193)) % 0.45/0.68 (step @p262 :rule chain_m_resolution :premises (@p261 @p260 @p254) :args (@t197 @t196 (@list @t193 @t110))) % 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0.45/0.68 (assume-push @p374 @t181) % 0.45/0.68 (step @p307 :rule chain_m_resolution :premises (@p305 @p237) :args (@t181 @t157 @t185)) % 0.45/0.68 (step @p308 :rule instantiate :premises (@p307) :args (@t213)) % 0.45/0.68 (step-pop @p375 :rule scope :premises (@p308)) % 0.45/0.68 (step @p309 :rule process_scope :premises (@p375) :args (@t215)) % 0.45/0.68 (step @p311 :rule implies_elim :premises (@p309)) % 0.45/0.68 (step @p312 :rule cnf_or_pos :args (@t215)) % 0.45/0.68 (step @p313 :rule reordering :premises (@p312) :args ((or @t201 @t214 (not @t215)))) % 0.45/0.68 (step @p314 :rule refl :args (@t219)) % 0.45/0.68 (step @p315 :rule bool-double-not-elim :args (@t108)) % 0.45/0.68 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or (not @t214) @t219))) % 0.45/0.68 (assume-push @p376 @t214) % 0.45/0.68 (step @p318 :rule skolemize :premises (@p376)) % 0.45/0.68 (step-pop @p377 :rule scope :premises (@p318)) % 0.45/0.68 (step @p319 :rule process_scope :premises (@p377) :args 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:args (@t220)) % 0.45/0.68 (step @p335 :rule reordering :premises (@p334) :args ((or @t217 @t205 (not @t220)))) % 0.45/0.68 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p331 @p329 @p328 @p322 @p313 @p311 @p305 @p236 @p233 @p303 @p130 @p295 @p227) :args ((or @t201 @t208 @t222) (@list true false false false true true false false false false true true false false) (@list @t205 @t220 @t221 @t216 @t218 @t108 @t215 @t181 @t182 @t148 @t150 @t96 @t183 @t210))) % 0.45/0.68 (step @p337 :rule chain_m_resolution :premises (@p336 @p291 @p285) :args (@t208 @t165 (@list @t200 @t209))) % 0.45/0.68 (step @p338 :rule bool-double-not-elim :args (@t223)) % 0.45/0.68 (step @p339 :rule refl :args (@t207)) % 0.45/0.68 (step @p340 :rule refl :args (@t226)) % 0.45/0.68 (step @p341 :rule nary_cong :premises (@p340 @p339 @p338) :args ((or @t226 @t207 (not @t224)))) % 0.45/0.68 (step @p342 :rule cnf_equiv_pos2 :args (@t225)) % 0.45/0.68 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 0.45/0.68 (step @p344 :rule reordering :premises (@p343) :args ((or @t207 @t223 @t226))) % 0.45/0.68 (step @p345 :rule chain_m_resolution :premises (@p344 @p337 @p40) :args (@t223 @t196 (@list @t207 @t225))) % 0.45/0.68 (step @p346 :rule chain_m_resolution :premises (@p305 @p237) :args (@t181 @t157 @t185)) % 0.45/0.68 (step @p347 :rule chain_m_resolution :premises (@p311 @p346) :args (@t215 @t157 (@list @t181))) % 0.45/0.68 (step @p348 :rule chain_m_resolution :premises (@p313 @p291 @p347) :args (@t214 @t165 (@list @t200 @t215))) % 0.45/0.68 (step @p349 :rule chain_m_resolution :premises (@p322 @p348) :args (@t219 @t151 (@list @t108))) % 0.45/0.68 (step @p350 :rule chain_m_resolution :premises (@p328 @p349) :args (@t216 @t151 (@list @t218))) % 0.45/0.68 (step @p351 :rule cnf_or_pos :args (@t227)) % 0.45/0.68 (step @p352 :rule reordering :premises (@p351) :args ((or @t201 @t217 @t228))) % 0.45/0.68 (step @p353 :rule chain_m_resolution :premises (@p352 @p291 @p350) :args (@t228 @t165 (@list @t200 @t216))) % 0.45/0.68 (assume-push @p378 @t223) % 0.45/0.68 (step @p355 :rule instantiate :premises (@p378) :args (@t213)) % 0.45/0.68 (step-pop @p379 :rule scope :premises (@p355)) % 0.45/0.68 (step @p356 :rule process_scope :premises (@p379) :args (@t227)) % 0.45/0.68 (step @p358 :rule implies_elim :premises (@p356)) % 0.45/0.68 (step @p359 false :rule chain_m_resolution :premises (@p358 @p353 @p345) :args (false @t196 (@list @t227 @t223))) % 0.45/0.68 ) % 0.45/0.68 % SZS output end Proof % 0.45/0.68 % cvc5 exiting %------------------------------------------------------------------------------