%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET721+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 08:48:30 AM UTC 2026 % Result : Theorem 0.46s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET721+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.11/0.13 % 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 16:09:59 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.63 % SZS status Theorem % 0.46/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.inverse_function (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.empty_set $$unsorted) % 0.46/0.63 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.equal_maps (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.one_to_one (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.increasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.surjective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.isomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.compose_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.identity (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.injective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.compose_function (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.inverse_predicate (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.inverse_image2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.decreasing (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.inverse_image3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (define @t1 () (@var "B" $$unsorted)) % 0.46/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.46/0.63 (define @t3 () (tptp.member @t2 @t1)) % 0.46/0.63 (define @t4 () (@var "A" $$unsorted)) % 0.46/0.63 (define @t5 () (tptp.member @t2 @t4)) % 0.46/0.63 (define @t6 () (@list @t2)) % 0.46/0.63 (define @t7 () (tptp.subset @t4 @t1)) % 0.46/0.63 (define @t8 () (@list @t4 @t1)) % 0.46/0.63 (define @t9 () (@list @t2 @t4)) % 0.46/0.63 (define @t10 () (@list @t2 @t4 @t1)) % 0.46/0.63 (define @t11 () (@var "E" $$unsorted)) % 0.46/0.63 (define @t12 () (= @t2 @t4)) % 0.46/0.63 (define @t13 () (@var "Y" $$unsorted)) % 0.46/0.63 (define @t14 () (tptp.member @t2 @t13)) % 0.46/0.63 (define @t15 () (tptp.member @t13 @t4)) % 0.46/0.63 (define @t16 () (@list @t13)) % 0.46/0.63 (define @t17 () (@var "Y2" $$unsorted)) % 0.46/0.63 (define @t18 () (@var "Y1" $$unsorted)) % 0.46/0.63 (define @t19 () (= @t18 @t17)) % 0.46/0.63 (define @t20 () (@var "F" $$unsorted)) % 0.46/0.63 (define @t21 () (tptp.apply @t20 @t2 @t17)) % 0.46/0.63 (define @t22 () (tptp.apply @t20 @t2 @t18)) % 0.46/0.63 (define @t23 () (and @t22 @t21)) % 0.46/0.63 (define @t24 () (=> @t23 @t19)) % 0.46/0.63 (define @t25 () (tptp.member @t17 @t1)) % 0.46/0.63 (define @t26 () (tptp.member @t18 @t1)) % 0.46/0.63 (define @t27 () (and @t5 @t26 @t25)) % 0.46/0.63 (define @t28 () (@list @t2 @t18 @t17)) % 0.46/0.63 (define @t29 () (forall @t28 (=> @t27 @t24))) % 0.46/0.63 (define @t30 () (tptp.apply @t20 @t2 @t13)) % 0.46/0.63 (define @t31 () (tptp.member @t13 @t1)) % 0.46/0.63 (define @t32 () (and @t31 @t30)) % 0.46/0.63 (define @t33 () (exists @t16 @t32)) % 0.46/0.63 (define @t34 () (=> @t5 @t33)) % 0.46/0.63 (define @t35 () (forall @t6 @t34)) % 0.46/0.63 (define @t36 () (and @t35 @t29)) % 0.46/0.63 (define @t37 () (tptp.maps @t20 @t4 @t1)) % 0.46/0.63 (define @t38 () (= @t37 @t36)) % 0.46/0.63 (define @t39 () (@list @t20 @t4 @t1)) % 0.46/0.63 (define @t40 () (forall @t39 @t38)) % 0.46/0.63 (define @t41 () (@var "Z" $$unsorted)) % 0.46/0.63 (define @t42 () (@var "G" $$unsorted)) % 0.46/0.63 (define @t43 () (tptp.apply @t42 @t13 @t41)) % 0.46/0.63 (define @t44 () (and @t31 @t30 @t43)) % 0.46/0.63 (define @t45 () (exists @t16 @t44)) % 0.46/0.63 (define @t46 () (@var "H" $$unsorted)) % 0.46/0.63 (define @t47 () (@var "C" $$unsorted)) % 0.46/0.63 (define @t48 () (tptp.member @t41 @t47)) % 0.46/0.63 (define @t49 () (and @t5 @t48)) % 0.46/0.63 (define @t50 () (tptp.compose_function @t42 @t20 @t4 @t1 @t47)) % 0.46/0.63 (define @t51 () (tptp.apply @t50 @t2 @t41)) % 0.46/0.63 (define @t52 () (=> @t49 (= @t51 @t45))) % 0.46/0.63 (define @t53 () (@list @t42 @t20 @t4 @t1 @t47 @t2 @t41)) % 0.46/0.63 (define @t54 () (forall @t53 @t52)) % 0.46/0.63 (define @t55 () (@var "X2" $$unsorted)) % 0.46/0.63 (define @t56 () (@var "X1" $$unsorted)) % 0.46/0.63 (define @t57 () (= @t56 @t55)) % 0.46/0.63 (define @t58 () (tptp.apply @t20 @t55 @t13)) % 0.46/0.63 (define @t59 () (tptp.apply @t20 @t56 @t13)) % 0.46/0.63 (define @t60 () (and @t59 @t58)) % 0.46/0.63 (define @t61 () (=> @t60 @t57)) % 0.46/0.63 (define @t62 () (tptp.member @t55 @t4)) % 0.46/0.63 (define @t63 () (tptp.member @t56 @t4)) % 0.46/0.63 (define @t64 () (and @t63 @t62 @t31)) % 0.46/0.63 (define @t65 () (@list @t56 @t55 @t13)) % 0.46/0.63 (define @t66 () (forall @t65 (=> @t64 @t61))) % 0.46/0.63 (define @t67 () (tptp.injective @t20 @t4 @t1)) % 0.46/0.63 (define @t68 () (= @t67 @t66)) % 0.46/0.63 (define @t69 () (forall @t39 @t68)) % 0.46/0.63 (define @t70 () (tptp.surjective @t20 @t4 @t1)) % 0.46/0.63 (define @t71 () (tptp.one_to_one @t20 @t4 @t1)) % 0.46/0.63 (define @t72 () (and @t5 @t31)) % 0.46/0.63 (define @t73 () (exists @t6 (and @t5 @t30))) % 0.46/0.63 (define @t74 () (@var "S" $$unsorted)) % 0.46/0.63 (define @t75 () (tptp.apply @t74 @t18 @t17)) % 0.46/0.63 (define @t76 () (tptp.apply @t20 @t55 @t17)) % 0.46/0.63 (define @t77 () (tptp.apply @t20 @t56 @t18)) % 0.46/0.63 (define @t78 () (@var "R" $$unsorted)) % 0.46/0.63 (define @t79 () (tptp.apply @t78 @t56 @t55)) % 0.46/0.63 (define @t80 () (and @t63 @t26 @t62 @t25 @t79 @t77 @t76)) % 0.46/0.63 (define @t81 () (@list @t56 @t18 @t55 @t17)) % 0.46/0.63 (define @t82 () (@list @t20 @t4 @t78 @t1 @t74)) % 0.46/0.63 (define @t83 () (tptp.injective @t50 @t4 @t47)) % 0.46/0.63 (define @t84 () (tptp.maps @t42 @t1 @t47)) % 0.46/0.63 (define @t85 () (and @t37 @t84 @t83)) % 0.46/0.63 (define @t86 () (@list @t20 @t42 @t4 @t1 @t47)) % 0.46/0.63 (define @t87 () (forall @t86 (=> @t85 @t67))) % 0.46/0.63 (define @t88 () (not @t87)) % 0.46/0.63 (define @t89 () (not @t58)) % 0.46/0.63 (define @t90 () (not @t59)) % 0.46/0.63 (define @t91 () (not @t31)) % 0.46/0.63 (define @t92 () (not @t62)) % 0.46/0.63 (define @t93 () (not @t63)) % 0.46/0.63 (define @t94 () (or @t90 @t89 @t57)) % 0.46/0.63 (define @t95 () (or @t93 @t92 @t91)) % 0.46/0.63 (define @t96 () (not @t83)) % 0.46/0.63 (define @t97 () (not @t84)) % 0.46/0.63 (define @t98 () (not @t37)) % 0.46/0.63 (define @t99 () (or @t98 @t97 @t96 @t67)) % 0.46/0.63 (define @t100 () (forall @t86 @t99)) % 0.46/0.63 (define @t101 () (@quantifiers_skolemize @t100 3)) % 0.46/0.63 (define @t102 () (@quantifiers_skolemize @t100 2)) % 0.46/0.63 (define @t103 () (@quantifiers_skolemize @t100 0)) % 0.46/0.63 (define @t104 () (or @t98 @t97 @t96)) % 0.46/0.63 (define @t105 () (tptp.injective @t103 @t102 @t101)) % 0.46/0.63 (define @t106 () (@quantifiers_skolemize @t100 4)) % 0.46/0.63 (define @t107 () (@quantifiers_skolemize @t100 1)) % 0.46/0.63 (define @t108 () (tptp.compose_function @t107 @t103 @t102 @t101 @t106)) % 0.46/0.63 (define @t109 () (tptp.injective @t108 @t102 @t106)) % 0.46/0.63 (define @t110 () (not @t109)) % 0.46/0.63 (define @t111 () (tptp.maps @t107 @t101 @t106)) % 0.46/0.63 (define @t112 () (not @t111)) % 0.46/0.63 (define @t113 () (or (not (tptp.maps @t103 @t102 @t101)) @t112 @t110 @t105)) % 0.46/0.63 (define @t114 () (@list true)) % 0.46/0.63 (define @t115 () (@list @t113)) % 0.46/0.63 (define @t116 () (not (tptp.member @t13 @t101))) % 0.46/0.63 (define @t117 () (not (tptp.member @t55 @t102))) % 0.46/0.63 (define @t118 () (not (tptp.member @t56 @t102))) % 0.46/0.63 (define @t119 () (forall @t65 (or @t118 @t117 @t116 (not (tptp.apply @t103 @t56 @t13)) (not (tptp.apply @t103 @t55 @t13)) @t57))) % 0.46/0.63 (define @t120 () (= @t105 @t119)) % 0.46/0.63 (define @t121 () (not @t119)) % 0.46/0.63 (define @t122 () (@list true false)) % 0.46/0.63 (define @t123 () (@quantifiers_skolemize @t119 0)) % 0.46/0.63 (define @t124 () (tptp.member @t123 @t102)) % 0.46/0.63 (define @t125 () (@quantifiers_skolemize @t119 1)) % 0.46/0.63 (define @t126 () (= @t123 @t125)) % 0.46/0.63 (define @t127 () (@quantifiers_skolemize @t119 2)) % 0.46/0.63 (define @t128 () (tptp.apply @t103 @t125 @t127)) % 0.46/0.63 (define @t129 () (not @t128)) % 0.46/0.63 (define @t130 () (tptp.apply @t103 @t123 @t127)) % 0.46/0.63 (define @t131 () (not @t130)) % 0.46/0.63 (define @t132 () (tptp.member @t127 @t101)) % 0.46/0.63 (define @t133 () (not @t132)) % 0.46/0.63 (define @t134 () (tptp.member @t125 @t102)) % 0.46/0.63 (define @t135 () (not @t134)) % 0.46/0.63 (define @t136 () (not @t124)) % 0.46/0.63 (define @t137 () (or @t136 @t135 @t133 @t131 @t129 @t126)) % 0.46/0.63 (define @t138 () (@list @t137)) % 0.46/0.63 (define @t139 () (not @t21)) % 0.46/0.63 (define @t140 () (not @t22)) % 0.46/0.63 (define @t141 () (not @t25)) % 0.46/0.63 (define @t142 () (not @t26)) % 0.46/0.63 (define @t143 () (not @t5)) % 0.46/0.63 (define @t144 () (or @t140 @t139 @t19)) % 0.46/0.63 (define @t145 () (or @t143 @t142 @t141)) % 0.46/0.63 (define @t146 () (not @t30)) % 0.46/0.63 (define @t147 () (not (forall @t16 (or @t91 @t146)))) % 0.46/0.63 (define @t148 () (forall @t16 (not @t32))) % 0.46/0.63 (define @t149 () (not @t148)) % 0.46/0.63 (define @t150 () (not (tptp.member @t2 @t101))) % 0.46/0.63 (define @t151 () (not (tptp.member @t13 @t106))) % 0.46/0.63 (define @t152 () (forall @t6 (or @t150 (not (forall @t16 (or @t151 (not (tptp.apply @t107 @t2 @t13)))))))) % 0.46/0.63 (define @t153 () (and @t152 (forall @t28 (or @t150 (not (tptp.member @t18 @t106)) (not (tptp.member @t17 @t106)) (not (tptp.apply @t107 @t2 @t18)) (not (tptp.apply @t107 @t2 @t17)) @t19)))) % 0.46/0.63 (define @t154 () (= @t111 @t153)) % 0.46/0.63 (define @t155 () (@list false false)) % 0.46/0.63 (define @t156 () (@list @t127)) % 0.46/0.63 (define @t157 () (forall @t16 (or @t151 (not (tptp.apply @t107 @t127 @t13))))) % 0.46/0.63 (define @t158 () (not @t157)) % 0.46/0.63 (define @t159 () (or @t133 @t158)) % 0.46/0.63 (define @t160 () (@quantifiers_skolemize @t157 0)) % 0.46/0.63 (define @t161 () (tptp.member @t160 @t106)) % 0.46/0.63 (define @t162 () (tptp.apply @t107 @t127 @t160)) % 0.46/0.63 (define @t163 () (not @t162)) % 0.46/0.63 (define @t164 () (not @t161)) % 0.46/0.63 (define @t165 () (or @t164 @t163)) % 0.46/0.63 (define @t166 () (@list @t165)) % 0.46/0.63 (define @t167 () (forall @t65 (or @t118 @t117 @t151 (not (tptp.apply @t108 @t56 @t13)) (not (tptp.apply @t108 @t55 @t13)) @t57))) % 0.46/0.63 (define @t168 () (= @t109 @t167)) % 0.46/0.63 (define @t169 () (not @t43)) % 0.46/0.63 (define @t170 () (or @t91 @t146 @t169)) % 0.46/0.63 (define @t171 () (not (forall @t16 @t170))) % 0.46/0.63 (define @t172 () (= @t51 @t171)) % 0.46/0.63 (define @t173 () (not @t48)) % 0.46/0.63 (define @t174 () (forall @t16 (not @t44))) % 0.46/0.63 (define @t175 () (not @t174)) % 0.46/0.63 (define @t176 () (not (tptp.apply @t107 @t13 @t160))) % 0.46/0.63 (define @t177 () (forall @t16 (or @t116 (not (tptp.apply @t103 @t125 @t13)) @t176))) % 0.46/0.63 (define @t178 () (not @t177)) % 0.46/0.63 (define @t179 () (tptp.apply @t108 @t125 @t160)) % 0.46/0.63 (define @t180 () (= @t179 @t178)) % 0.46/0.63 (define @t181 () (or @t135 @t164 @t180)) % 0.46/0.63 (define @t182 () (@list false false false)) % 0.46/0.63 (define @t183 () (or @t133 @t129 @t163)) % 0.46/0.63 (define @t184 () (not @t183)) % 0.46/0.63 (define @t185 () (not @t180)) % 0.46/0.63 (define @t186 () (forall @t16 (or @t116 (not (tptp.apply @t103 @t123 @t13)) @t176))) % 0.46/0.63 (define @t187 () (not @t186)) % 0.46/0.63 (define @t188 () (tptp.apply @t108 @t123 @t160)) % 0.46/0.63 (define @t189 () (= @t188 @t187)) % 0.46/0.63 (define @t190 () (or @t136 @t164 @t189)) % 0.46/0.63 (define @t191 () (or @t133 @t131 @t163)) % 0.46/0.63 (define @t192 () (not @t191)) % 0.46/0.63 (define @t193 () (not @t189)) % 0.46/0.63 (define @t194 () (not @t179)) % 0.46/0.63 (define @t195 () (not @t188)) % 0.46/0.63 (define @t196 () (or @t136 @t135 @t164 @t195 @t194 @t126)) % 0.46/0.63 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.46/0.63 (assume @p2 (forall @t8 (= (tptp.equal_set @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.46/0.63 (assume @p3 (forall @t9 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.46/0.63 (assume @p4 (forall @t10 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.46/0.63 (assume @p5 (forall @t10 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.46/0.63 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.46/0.63 (assume @p7 (forall (@list @t1 @t4 @t11) (= (tptp.member @t1 (tptp.difference @t11 @t4)) (and (tptp.member @t1 @t11) (not (tptp.member @t1 @t4)))))) % 0.46/0.63 (assume @p8 (forall @t9 (= (tptp.member @t2 (tptp.singleton @t4)) @t12))) % 0.46/0.63 (assume @p9 (forall @t10 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t12 (= @t2 @t1))))) % 0.46/0.63 (assume @p10 (forall @t9 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t16 (and @t15 @t14))))) % 0.46/0.63 (assume @p11 (forall @t9 (= (tptp.member @t2 (tptp.product @t4)) (forall @t16 (=> @t15 @t14))))) % 0.46/0.63 (assume @p12 @t40) % 0.46/0.63 (assume @p13 (forall (@list @t46 @t42 @t20 @t4 @t1 @t47) (= (tptp.compose_predicate @t46 @t42 @t20 @t4 @t1 @t47) (forall (@list @t2 @t41) (=> @t49 (= (tptp.apply @t46 @t2 @t41) @t45)))))) % 0.46/0.63 (assume @p14 @t54) % 0.46/0.63 (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)))))) % 0.46/0.63 (assume @p16 (forall (@list @t20 @t4) (= (tptp.identity @t20 @t4) (forall @t6 (=> @t5 (tptp.apply @t20 @t2 @t2)))))) % 0.46/0.63 (assume @p17 @t69) % 0.46/0.63 (assume @p18 (forall @t39 (= @t70 (forall @t16 (=> @t31 (exists (@list @t11) (and (tptp.member @t11 @t4) (tptp.apply @t20 @t11 @t13)))))))) % 0.46/0.63 (assume @p19 (forall @t39 (= @t71 (and @t67 @t70)))) % 0.46/0.63 (assume @p20 (forall (@list @t42 @t20 @t4 @t1) (= (tptp.inverse_predicate @t42 @t20 @t4 @t1) (forall (@list @t2 @t13) (=> @t72 (= @t30 (tptp.apply @t42 @t13 @t2))))))) % 0.46/0.63 (assume @p21 (forall (@list @t20 @t4 @t1 @t2 @t13) (=> @t72 (= @t30 (tptp.apply (tptp.inverse_function @t20 @t4 @t1) @t13 @t2))))) % 0.46/0.63 (assume @p22 (forall (@list @t20 @t4 @t13) (= (tptp.member @t13 (tptp.image2 @t20 @t4)) @t73))) % 0.46/0.63 (assume @p23 (forall (@list @t20 @t4 @t1 @t13) (= (tptp.member @t13 (tptp.image3 @t20 @t4 @t1)) (and @t31 @t73)))) % 0.46/0.63 (assume @p24 (forall (@list @t20 @t1 @t2) (= (tptp.member @t2 (tptp.inverse_image2 @t20 @t1)) @t33))) % 0.46/0.63 (assume @p25 (forall (@list @t20 @t1 @t4 @t2) (= (tptp.member @t2 (tptp.inverse_image3 @t20 @t1 @t4)) (and @t5 @t33)))) % 0.46/0.63 (assume @p26 (forall @t82 (= (tptp.increasing @t20 @t4 @t78 @t1 @t74) (forall @t81 (=> @t80 @t75))))) % 0.46/0.63 (assume @p27 (forall @t82 (= (tptp.decreasing @t20 @t4 @t78 @t1 @t74) (forall @t81 (=> @t80 (tptp.apply @t74 @t17 @t18)))))) % 0.46/0.63 (assume @p28 (forall @t82 (= (tptp.isomorphism @t20 @t4 @t78 @t1 @t74) (and @t37 @t71 (forall @t81 (=> (and @t63 @t26 @t62 @t25 @t77 @t76) (= @t79 @t75))))))) % 0.46/0.63 (assume @p29 @t88) % 0.46/0.63 (assume @p30 true) % 0.46/0.63 (step @p31 :rule aci_norm :args ((= (or @t95 @t94) (or @t93 @t92 @t91 @t90 @t89 @t57)))) % 0.46/0.63 (step @p32 :rule aci_norm :args ((= (or (or @t90 @t89) @t57) @t94))) % 0.46/0.63 (step @p33 :rule refl :args (@t57)) % 0.46/0.63 (step @p34 :rule bool-and-de-morgan :args (@t59 @t58 true)) % 0.46/0.63 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t60) @t57))) % 0.46/0.63 (step @p36 :rule trans :premises (@p35 @p32)) % 0.46/0.63 (step @p37 :rule bool-impl-elim :args (@t60 @t57)) % 0.46/0.63 (step @p38 :rule trans :premises (@p37 @p36)) % 0.46/0.63 (step @p39 :rule aci_norm :args ((= (or @t93 (or @t92 @t91)) @t95))) % 0.46/0.63 (step @p40 :rule bool-and-de-morgan :args (@t62 @t31 true)) % 0.46/0.63 (step @p41 :rule refl :args (@t93)) % 0.46/0.63 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t93 (not (and @t62 @t31))))) % 0.46/0.63 (step @p43 :rule bool-and-de-morgan :args (@t63 @t62 (and @t31))) % 0.46/0.63 (step @p44 :rule trans :premises (@p43 @p42)) % 0.46/0.63 (step @p45 :rule trans :premises (@p44 @p39)) % 0.46/0.63 (step @p46 :rule nary_cong :premises (@p45 @p38) :args ((or (not @t64) @t61))) % 0.46/0.63 (step @p47 :rule trans :premises (@p46 @p31)) % 0.46/0.63 (step @p48 :rule bool-impl-elim :args (@t64 @t61)) % 0.46/0.63 (step @p49 :rule trans :premises (@p48 @p47)) % 0.46/0.63 (step @p50 :rule cong :premises (@p49) :args (@t66)) % 0.46/0.63 (step @p51 :rule refl :args (@t67)) % 0.46/0.63 (step @p52 :rule cong :premises (@p51 @p50) :args (@t68)) % 0.46/0.63 (step @p53 :rule cong :premises (@p52) :args (@t69)) % 0.46/0.63 (step @p54 :rule eq_resolve :premises (@p17 @p53)) % 0.46/0.63 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t103 @t102 @t101))) % 0.46/0.63 (step @p56 :rule aci_norm :args ((= (or @t104 @t67) @t99))) % 0.46/0.63 (step @p57 :rule refl :args (@t67)) % 0.46/0.63 (step @p58 :rule aci_norm :args ((= (or @t98 (or @t97 @t96)) @t104))) % 0.46/0.63 (step @p59 :rule bool-and-de-morgan :args (@t84 @t83 true)) % 0.46/0.63 (step @p60 :rule refl :args (@t98)) % 0.46/0.63 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t98 (not (and @t84 @t83))))) % 0.46/0.63 (step @p62 :rule bool-and-de-morgan :args (@t37 @t84 (and @t83))) % 0.46/0.63 (step @p63 :rule trans :premises (@p62 @p61)) % 0.46/0.63 (step @p64 :rule trans :premises (@p63 @p58)) % 0.46/0.63 (step @p65 :rule nary_cong :premises (@p64 @p57) :args ((or (not @t85) @t67))) % 0.46/0.63 (step @p66 :rule trans :premises (@p65 @p56)) % 0.46/0.63 (step @p67 :rule bool-impl-elim :args (@t85 @t67)) % 0.46/0.63 (step @p68 :rule trans :premises (@p67 @p66)) % 0.46/0.63 (step @p69 :rule cong :premises (@p68) :args (@t87)) % 0.46/0.63 (step @p70 :rule cong :premises (@p69) :args (@t88)) % 0.46/0.63 (step @p71 :rule eq_resolve :premises (@p29 @p70)) % 0.46/0.63 (step @p72 :rule skolemize :premises (@p71)) % 0.46/0.63 (step @p73 :rule cnf_or_neg :args (@t113 3)) % 0.46/0.63 (step @p74 :rule chain_m_resolution :premises (@p73 @p72) :args ((not @t105) @t114 @t115)) % 0.46/0.63 (step @p75 :rule cnf_equiv_pos2 :args (@t120)) % 0.46/0.63 (step @p76 :rule reordering :premises (@p75) :args ((or @t105 @t121 (not @t120)))) % 0.46/0.63 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p55) :args (@t121 @t122 (@list @t105 @t120))) % 0.46/0.63 (step @p78 :rule skolemize :premises (@p77)) % 0.46/0.63 (step @p79 :rule bool-double-not-elim :args (@t124)) % 0.46/0.63 (step @p80 :rule refl :args (@t137)) % 0.46/0.63 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t137 (not @t136)))) % 0.46/0.63 (step @p82 :rule cnf_or_neg :args (@t137 0)) % 0.46/0.63 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.46/0.63 (step @p84 :rule reordering :premises (@p83) :args ((or @t124 @t137))) % 0.46/0.63 (step @p85 :rule chain_m_resolution :premises (@p84 @p78) :args (@t124 @t114 @t138)) % 0.46/0.63 (step @p86 :rule bool-double-not-elim :args (@t134)) % 0.46/0.63 (step @p87 :rule nary_cong :premises (@p80 @p86) :args ((or @t137 (not @t135)))) % 0.46/0.63 (step @p88 :rule cnf_or_neg :args (@t137 1)) % 0.46/0.63 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.46/0.63 (step @p90 :rule reordering :premises (@p89) :args ((or @t134 @t137))) % 0.46/0.63 (step @p91 :rule chain_m_resolution :premises (@p90 @p78) :args (@t134 @t114 @t138)) % 0.46/0.63 (step @p92 :rule cnf_or_neg :args (@t137 5)) % 0.46/0.63 (step @p93 :rule chain_m_resolution :premises (@p92 @p78) :args ((not @t126) @t114 @t138)) % 0.46/0.63 (step @p94 :rule aci_norm :args ((= (or @t145 @t144) (or @t143 @t142 @t141 @t140 @t139 @t19)))) % 0.46/0.63 (step @p95 :rule aci_norm :args ((= (or (or @t140 @t139) @t19) @t144))) % 0.46/0.63 (step @p96 :rule refl :args (@t19)) % 0.46/0.63 (step @p97 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.46/0.63 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or (not @t23) @t19))) % 0.46/0.63 (step @p99 :rule trans :premises (@p98 @p95)) % 0.46/0.63 (step @p100 :rule bool-impl-elim :args (@t23 @t19)) % 0.46/0.63 (step @p101 :rule trans :premises (@p100 @p99)) % 0.46/0.63 (step @p102 :rule aci_norm :args ((= (or @t143 (or @t142 @t141)) @t145))) % 0.46/0.63 (step @p103 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.46/0.63 (step @p104 :rule refl :args (@t143)) % 0.46/0.63 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t143 (not (and @t26 @t25))))) % 0.46/0.63 (step @p106 :rule bool-and-de-morgan :args (@t5 @t26 (and @t25))) % 0.46/0.63 (step @p107 :rule trans :premises (@p106 @p105)) % 0.46/0.63 (step @p108 :rule trans :premises (@p107 @p102)) % 0.46/0.63 (step @p109 :rule nary_cong :premises (@p108 @p101) :args ((or (not @t27) @t24))) % 0.46/0.63 (step @p110 :rule trans :premises (@p109 @p94)) % 0.46/0.63 (step @p111 :rule bool-impl-elim :args (@t27 @t24)) % 0.46/0.63 (step @p112 :rule trans :premises (@p111 @p110)) % 0.46/0.63 (step @p113 :rule cong :premises (@p112) :args (@t29)) % 0.46/0.63 (step @p114 :rule bool-impl-elim :args (@t5 @t147)) % 0.46/0.63 (step @p115 :rule cong :premises (@p114) :args ((forall @t6 (=> @t5 @t147)))) % 0.46/0.63 (step @p116 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.46/0.63 (step @p117 :rule cong :premises (@p116) :args (@t148)) % 0.46/0.63 (step @p118 :rule cong :premises (@p117) :args (@t149)) % 0.46/0.63 (step @p119 :rule exists-elim :args ((= @t33 @t149))) % 0.46/0.63 (step @p120 :rule trans :premises (@p119 @p118)) % 0.46/0.63 (step @p121 :rule refl :args (@t5)) % 0.46/0.63 (step @p122 :rule cong :premises (@p121 @p120) :args (@t34)) % 0.46/0.63 (step @p123 :rule cong :premises (@p122) :args (@t35)) % 0.46/0.63 (step @p124 :rule trans :premises (@p123 @p115)) % 0.46/0.63 (step @p125 :rule nary_cong :premises (@p124 @p113) :args (@t36)) % 0.46/0.63 (step @p126 :rule refl :args (@t37)) % 0.46/0.63 (step @p127 :rule cong :premises (@p126 @p125) :args (@t38)) % 0.46/0.63 (step @p128 :rule cong :premises (@p127) :args (@t40)) % 0.46/0.63 (step @p129 :rule eq_resolve :premises (@p12 @p128)) % 0.46/0.63 (step @p130 :rule instantiate :premises (@p129) :args ((@list @t107 @t101 @t106))) % 0.46/0.63 (step @p131 :rule bool-double-not-elim :args (@t111)) % 0.46/0.63 (step @p132 :rule refl :args (@t113)) % 0.46/0.63 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t113 (not @t112)))) % 0.46/0.63 (step @p134 :rule cnf_or_neg :args (@t113 1)) % 0.46/0.63 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.46/0.63 (step @p136 :rule reordering :premises (@p135) :args ((or @t111 @t113))) % 0.46/0.63 (step @p137 :rule chain_m_resolution :premises (@p136 @p72) :args (@t111 @t114 @t115)) % 0.46/0.63 (step @p138 :rule cnf_equiv_pos1 :args (@t154)) % 0.46/0.63 (step @p139 :rule reordering :premises (@p138) :args ((or @t112 @t153 (not @t154)))) % 0.46/0.63 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p130) :args (@t153 @t155 (@list @t111 @t154))) % 0.46/0.63 (step @p141 :rule cnf_and_pos :args (@t153 0)) % 0.46/0.63 (step @p142 :rule reordering :premises (@p141) :args ((or @t152 (not @t153)))) % 0.46/0.63 (step @p143 :rule chain_m_resolution :premises (@p142 @p140) :args (@t152 (@list false) (@list @t153))) % 0.46/0.63 (step @p144 :rule instantiate :premises (@p143) :args (@t156)) % 0.46/0.63 (step @p145 :rule bool-double-not-elim :args (@t132)) % 0.46/0.63 (step @p146 :rule nary_cong :premises (@p80 @p145) :args ((or @t137 (not @t133)))) % 0.46/0.63 (step @p147 :rule cnf_or_neg :args (@t137 2)) % 0.46/0.63 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 0.46/0.63 (step @p149 :rule reordering :premises (@p148) :args ((or @t132 @t137))) % 0.46/0.63 (step @p150 :rule chain_m_resolution :premises (@p149 @p78) :args (@t132 @t114 @t138)) % 0.46/0.63 (step @p151 :rule cnf_or_pos :args (@t159)) % 0.46/0.63 (step @p152 :rule reordering :premises (@p151) :args ((or @t133 @t158 (not @t159)))) % 0.46/0.63 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p144) :args (@t158 @t155 (@list @t132 @t159))) % 0.46/0.63 (step @p154 :rule skolemize :premises (@p153)) % 0.46/0.63 (step @p155 :rule bool-double-not-elim :args (@t161)) % 0.46/0.63 (step @p156 :rule refl :args (@t165)) % 0.46/0.63 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t165 (not @t164)))) % 0.46/0.63 (step @p158 :rule cnf_or_neg :args (@t165 0)) % 0.46/0.63 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.46/0.63 (step @p160 :rule reordering :premises (@p159) :args ((or @t161 @t165))) % 0.46/0.63 (step @p161 :rule chain_m_resolution :premises (@p160 @p154) :args (@t161 @t114 @t166)) % 0.46/0.63 (step @p162 :rule instantiate :premises (@p54) :args ((@list @t108 @t102 @t106))) % 0.46/0.64 (step @p163 :rule bool-double-not-elim :args (@t109)) % 0.46/0.64 (step @p164 :rule nary_cong :premises (@p132 @p163) :args ((or @t113 (not @t110)))) % 0.46/0.64 (step @p165 :rule cnf_or_neg :args (@t113 2)) % 0.46/0.64 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.46/0.64 (step @p167 :rule reordering :premises (@p166) :args ((or @t109 @t113))) % 0.46/0.64 (step @p168 :rule chain_m_resolution :premises (@p167 @p72) :args (@t109 @t114 @t115)) % 0.46/0.64 (step @p169 :rule cnf_equiv_pos1 :args (@t168)) % 0.46/0.64 (step @p170 :rule reordering :premises (@p169) :args ((or @t110 @t167 (not @t168)))) % 0.46/0.64 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p162) :args (@t167 @t155 (@list @t109 @t168))) % 0.46/0.64 (step @p172 :rule instantiate :premises (@p171) :args ((@list @t123 @t125 @t160))) % 0.46/0.64 (step @p173 :rule aci_norm :args ((= (or (or @t143 @t173) @t172) (or @t143 @t173 @t172)))) % 0.46/0.64 (step @p174 :rule refl :args (@t172)) % 0.46/0.64 (step @p175 :rule bool-and-de-morgan :args (@t5 @t48 true)) % 0.46/0.64 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or (not @t49) @t172))) % 0.46/0.64 (step @p177 :rule trans :premises (@p176 @p173)) % 0.46/0.64 (step @p178 :rule bool-impl-elim :args (@t49 @t172)) % 0.46/0.64 (step @p179 :rule trans :premises (@p178 @p177)) % 0.46/0.64 (step @p180 :rule cong :premises (@p179) :args ((forall @t53 (=> @t49 @t172)))) % 0.46/0.64 (step @p181 :rule eq-symm :args (@t171 @t51)) % 0.46/0.64 (step @p182 :rule refl :args (@t51)) % 0.46/0.64 (step @p183 :rule aci_norm :args ((= (or @t91 (or @t146 @t169)) @t170))) % 0.46/0.64 (step @p184 :rule bool-and-de-morgan :args (@t30 @t43 true)) % 0.46/0.64 (step @p185 :rule refl :args (@t91)) % 0.46/0.64 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t91 (not (and @t30 @t43))))) % 0.46/0.64 (step @p187 :rule bool-and-de-morgan :args (@t31 @t30 (and @t43))) % 0.46/0.64 (step @p188 :rule trans :premises (@p187 @p186)) % 0.46/0.64 (step @p189 :rule trans :premises (@p188 @p183)) % 0.46/0.64 (step @p190 :rule cong :premises (@p189) :args (@t174)) % 0.46/0.64 (step @p191 :rule cong :premises (@p190) :args (@t175)) % 0.46/0.64 (step @p192 :rule exists-elim :args ((= @t45 @t175))) % 0.46/0.64 (step @p193 :rule trans :premises (@p192 @p191)) % 0.46/0.64 (step @p194 :rule cong :premises (@p193 @p182) :args ((= @t45 @t51))) % 0.46/0.64 (step @p195 :rule trans :premises (@p194 @p181)) % 0.46/0.64 (step @p196 :rule eq-symm :args (@t51 @t45)) % 0.46/0.64 (step @p197 :rule trans :premises (@p196 @p195)) % 0.46/0.64 (step @p198 :rule refl :args (@t49)) % 0.46/0.64 (step @p199 :rule cong :premises (@p198 @p197) :args (@t52)) % 0.46/0.64 (step @p200 :rule cong :premises (@p199) :args (@t54)) % 0.46/0.64 (step @p201 :rule trans :premises (@p200 @p180)) % 0.46/0.64 (step @p202 :rule eq_resolve :premises (@p14 @p201)) % 0.46/0.64 (step @p203 :rule instantiate :premises (@p202) :args ((@list @t107 @t103 @t102 @t101 @t106 @t125 @t160))) % 0.46/0.64 (step @p204 :rule cnf_or_pos :args (@t181)) % 0.46/0.64 (step @p205 :rule reordering :premises (@p204) :args ((or @t135 @t164 @t180 (not @t181)))) % 0.46/0.64 (step @p206 :rule chain_m_resolution :premises (@p205 @p91 @p161 @p203) :args (@t180 @t182 (@list @t134 @t161 @t181))) % 0.46/0.64 (step @p207 :rule bool-double-not-elim :args (@t162)) % 0.46/0.64 (step @p208 :rule nary_cong :premises (@p156 @p207) :args ((or @t165 (not @t163)))) % 0.46/0.64 (step @p209 :rule cnf_or_neg :args (@t165 1)) % 0.46/0.64 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 0.46/0.64 (step @p211 :rule reordering :premises (@p210) :args ((or @t162 @t165))) % 0.46/0.64 (step @p212 :rule chain_m_resolution :premises (@p211 @p154) :args (@t162 @t114 @t166)) % 0.46/0.64 (step @p213 :rule bool-double-not-elim :args (@t128)) % 0.46/0.64 (step @p214 :rule nary_cong :premises (@p80 @p213) :args ((or @t137 (not @t129)))) % 0.46/0.64 (step @p215 :rule cnf_or_neg :args (@t137 4)) % 0.46/0.64 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 0.46/0.64 (step @p217 :rule reordering :premises (@p216) :args ((or @t128 @t137))) % 0.46/0.64 (step @p218 :rule chain_m_resolution :premises (@p217 @p78) :args (@t128 @t114 @t138)) % 0.46/0.64 (step @p219 :rule cnf_or_pos :args (@t183)) % 0.46/0.64 (step @p220 :rule reordering :premises (@p219) :args ((or @t133 @t129 @t163 @t184))) % 0.46/0.64 (step @p221 :rule chain_m_resolution :premises (@p220 @p150 @p218 @p212) :args (@t184 @t182 (@list @t132 @t128 @t162))) % 0.46/0.64 (assume-push @p266 @t177) % 0.46/0.64 (step @p223 :rule instantiate :premises (@p266) :args (@t156)) % 0.46/0.64 (step-pop @p267 :rule scope :premises (@p223)) % 0.46/0.64 (step @p224 :rule process_scope :premises (@p267) :args (@t183)) % 0.46/0.64 (step @p226 :rule implies_elim :premises (@p224)) % 0.46/0.64 (step @p227 :rule chain_m_resolution :premises (@p226 @p221) :args (@t178 @t114 (@list @t183))) % 0.46/0.64 (step @p228 :rule bool-double-not-elim :args (@t177)) % 0.46/0.64 (step @p229 :rule refl :args (@t179)) % 0.46/0.64 (step @p230 :rule refl :args (@t185)) % 0.46/0.64 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228) :args ((or @t185 @t179 (not @t178)))) % 0.46/0.64 (step @p232 :rule cnf_equiv_pos2 :args (@t180)) % 0.46/0.64 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.46/0.64 (step @p234 :rule reordering :premises (@p233) :args ((or @t179 @t177 @t185))) % 0.46/0.64 (step @p235 :rule chain_m_resolution :premises (@p234 @p227 @p206) :args (@t179 @t122 (@list @t177 @t180))) % 0.46/0.64 (step @p236 :rule instantiate :premises (@p202) :args ((@list @t107 @t103 @t102 @t101 @t106 @t123 @t160))) % 0.46/0.64 (step @p237 :rule cnf_or_pos :args (@t190)) % 0.46/0.64 (step @p238 :rule reordering :premises (@p237) :args ((or @t136 @t164 @t189 (not @t190)))) % 0.46/0.64 (step @p239 :rule chain_m_resolution :premises (@p238 @p85 @p161 @p236) :args (@t189 @t182 (@list @t124 @t161 @t190))) % 0.46/0.64 (step @p240 :rule bool-double-not-elim :args (@t130)) % 0.46/0.64 (step @p241 :rule nary_cong :premises (@p80 @p240) :args ((or @t137 (not @t131)))) % 0.46/0.64 (step @p242 :rule cnf_or_neg :args (@t137 3)) % 0.46/0.64 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 0.46/0.64 (step @p244 :rule reordering :premises (@p243) :args ((or @t130 @t137))) % 0.46/0.64 (step @p245 :rule chain_m_resolution :premises (@p244 @p78) :args (@t130 @t114 @t138)) % 0.46/0.64 (step @p246 :rule cnf_or_pos :args (@t191)) % 0.46/0.64 (step @p247 :rule reordering :premises (@p246) :args ((or @t133 @t131 @t163 @t192))) % 0.46/0.64 (step @p248 :rule chain_m_resolution :premises (@p247 @p150 @p245 @p212) :args (@t192 @t182 (@list @t132 @t130 @t162))) % 0.46/0.64 (assume-push @p268 @t186) % 0.46/0.64 (step @p250 :rule instantiate :premises (@p268) :args (@t156)) % 0.46/0.64 (step-pop @p269 :rule scope :premises (@p250)) % 0.46/0.64 (step @p251 :rule process_scope :premises (@p269) :args (@t191)) % 0.46/0.64 (step @p253 :rule implies_elim :premises (@p251)) % 0.46/0.64 (step @p254 :rule chain_m_resolution :premises (@p253 @p248) :args (@t187 @t114 (@list @t191))) % 0.46/0.64 (step @p255 :rule bool-double-not-elim :args (@t186)) % 0.46/0.64 (step @p256 :rule refl :args (@t188)) % 0.46/0.64 (step @p257 :rule refl :args (@t193)) % 0.46/0.64 (step @p258 :rule nary_cong :premises (@p257 @p256 @p255) :args ((or @t193 @t188 (not @t187)))) % 0.46/0.64 (step @p259 :rule cnf_equiv_pos2 :args (@t189)) % 0.46/0.64 (step @p260 :rule eq_resolve :premises (@p259 @p258)) % 0.46/0.64 (step @p261 :rule reordering :premises (@p260) :args ((or @t188 @t186 @t193))) % 0.46/0.64 (step @p262 :rule chain_m_resolution :premises (@p261 @p254 @p239) :args (@t188 @t122 (@list @t186 @t189))) % 0.46/0.64 (step @p263 :rule cnf_or_pos :args (@t196)) % 0.46/0.64 (step @p264 :rule reordering :premises (@p263) :args ((or @t136 @t135 @t126 @t164 @t195 @t194 (not @t196)))) % 0.46/0.64 (step @p265 false :rule chain_m_resolution :premises (@p264 @p262 @p235 @p172 @p161 @p93 @p91 @p85) :args (false (@list false false false false true false false) (@list @t188 @t179 @t196 @t161 @t126 @t134 @t124))) % 0.46/0.64 ) % 0.46/0.64 % SZS output end Proof % 0.46/0.64 % cvc5 exiting %------------------------------------------------------------------------------