%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET021-6 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:47:00 AM UTC 2026 % Result : Unsatisfiable 33.96s 34.13s % Output : Proof 33.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET021-6 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 14:41:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.43/15.66 --- Run --no-e-matching --full-saturate-quant at 6... % 21.52/21.72 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.54/27.78 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.63/33.86 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.96/34.13 % SZS status Unsatisfiable % 33.96/34.13 % SZS output start Proof % 33.96/34.14 ( % 33.96/34.14 (declare-sort $$unsorted 0) % 33.96/34.14 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.96/34.14 (declare-const tptp.operation (-> $$unsorted Bool)) % 33.96/34.14 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.function (-> $$unsorted Bool)) % 33.96/34.14 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 33.96/34.14 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.element_relation $$unsorted) % 33.96/34.14 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.universal_class $$unsorted) % 33.96/34.14 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 33.96/34.14 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 33.96/34.14 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 33.96/34.14 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.successor_relation $$unsorted) % 33.96/34.14 (declare-const tptp.choice $$unsorted) % 33.96/34.14 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.v $$unsorted) % 33.96/34.14 (declare-const tptp.subset_relation $$unsorted) % 33.96/34.14 (declare-const tptp.null_class $$unsorted) % 33.96/34.14 (declare-const tptp.u $$unsorted) % 33.96/34.14 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.omega $$unsorted) % 33.96/34.14 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.96/34.14 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.identity_relation $$unsorted) % 33.96/34.14 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 33.96/34.14 (declare-const tptp.inductive (-> $$unsorted Bool)) % 33.96/34.14 (define @t1 () (@var "Y" $$unsorted)) % 33.96/34.14 (define @t2 () (@var "U" $$unsorted)) % 33.96/34.14 (define @t3 () (@var "X" $$unsorted)) % 33.96/34.14 (define @t4 () (tptp.member @t2 @t3)) % 33.96/34.14 (define @t5 () (not @t4)) % 33.96/34.14 (define @t6 () (tptp.subclass @t3 @t1)) % 33.96/34.14 (define @t7 () (not @t6)) % 33.96/34.14 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 33.96/34.14 (define @t9 () (@list @t3 @t1)) % 33.96/34.14 (define @t10 () (@list @t3)) % 33.96/34.14 (define @t11 () (= @t3 @t1)) % 33.96/34.14 (define @t12 () (not @t11)) % 33.96/34.14 (define @t13 () (tptp.subclass @t1 @t3)) % 33.96/34.14 (define @t14 () (tptp.unordered_pair @t3 @t1)) % 33.96/34.14 (define @t15 () (not (tptp.member @t2 @t14))) % 33.96/34.14 (define @t16 () (or @t15 (= @t2 @t3) (= @t2 @t1))) % 33.96/34.14 (define @t17 () (@list @t2 @t3 @t1)) % 33.96/34.14 (define @t18 () (forall @t17 @t16)) % 33.96/34.14 (define @t19 () (not (tptp.member @t3 tptp.universal_class))) % 33.96/34.14 (define @t20 () (not (tptp.member @t1 tptp.universal_class))) % 33.96/34.14 (define @t21 () (tptp.singleton @t3)) % 33.96/34.14 (define @t22 () (forall @t10 (= (tptp.unordered_pair @t3 @t3) @t21))) % 33.96/34.14 (define @t23 () (tptp.ordered_pair @t3 @t1)) % 33.96/34.14 (define @t24 () (tptp.singleton @t1)) % 33.96/34.14 (define @t25 () (forall @t9 (= (tptp.unordered_pair @t21 (tptp.unordered_pair @t3 @t24)) @t23))) % 33.96/34.14 (define @t26 () (tptp.cross_product @t3 @t1)) % 33.96/34.14 (define @t27 () (@var "V" $$unsorted)) % 33.96/34.14 (define @t28 () (tptp.ordered_pair @t2 @t27)) % 33.96/34.14 (define @t29 () (tptp.member @t28 @t26)) % 33.96/34.14 (define @t30 () (not @t29)) % 33.96/34.14 (define @t31 () (@list @t2 @t27 @t3 @t1)) % 33.96/34.14 (define @t32 () (tptp.member @t27 @t1)) % 33.96/34.14 (define @t33 () (@var "Z" $$unsorted)) % 33.96/34.14 (define @t34 () (tptp.ordered_pair (tptp.first @t33) (tptp.second @t33))) % 33.96/34.14 (define @t35 () (not (tptp.member @t33 @t26))) % 33.96/34.14 (define @t36 () (or @t35 (= @t34 @t33))) % 33.96/34.14 (define @t37 () (@list @t33 @t3 @t1)) % 33.96/34.14 (define @t38 () (forall @t37 @t36)) % 33.96/34.14 (define @t39 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 33.96/34.14 (define @t40 () (tptp.member @t3 @t1)) % 33.96/34.14 (define @t41 () (tptp.member @t23 tptp.element_relation)) % 33.96/34.14 (define @t42 () (not (tptp.member @t23 @t39))) % 33.96/34.14 (define @t43 () (tptp.member @t33 @t3)) % 33.96/34.14 (define @t44 () (tptp.intersection @t3 @t1)) % 33.96/34.14 (define @t45 () (tptp.member @t33 @t44)) % 33.96/34.14 (define @t46 () (not @t45)) % 33.96/34.14 (define @t47 () (tptp.member @t33 @t1)) % 33.96/34.14 (define @t48 () (not @t43)) % 33.96/34.14 (define @t49 () (tptp.complement @t3)) % 33.96/34.14 (define @t50 () (tptp.member @t33 @t49)) % 33.96/34.14 (define @t51 () (@list @t33 @t3)) % 33.96/34.14 (define @t52 () (not (tptp.member @t33 tptp.universal_class))) % 33.96/34.14 (define @t53 () (tptp.complement (tptp.intersection @t49 (tptp.complement @t1)))) % 33.96/34.14 (define @t54 () (@var "Xr" $$unsorted)) % 33.96/34.14 (define @t55 () (tptp.restrict @t54 @t3 @t1)) % 33.96/34.14 (define @t56 () (tptp.domain_of @t3)) % 33.96/34.14 (define @t57 () (tptp.member @t33 @t56)) % 33.96/34.14 (define @t58 () (= (tptp.restrict @t3 (tptp.singleton @t33) tptp.universal_class) tptp.null_class)) % 33.96/34.14 (define @t59 () (tptp.cross_product @t39 tptp.universal_class)) % 33.96/34.14 (define @t60 () (tptp.rotate @t3)) % 33.96/34.14 (define @t61 () (@var "W" $$unsorted)) % 33.96/34.14 (define @t62 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t27 @t61) @t2) @t3)) % 33.96/34.14 (define @t63 () (tptp.ordered_pair @t28 @t61)) % 33.96/34.14 (define @t64 () (tptp.member @t63 @t60)) % 33.96/34.14 (define @t65 () (@list @t2 @t27 @t61 @t3)) % 33.96/34.14 (define @t66 () (not (tptp.member @t63 @t59))) % 33.96/34.14 (define @t67 () (tptp.flip @t3)) % 33.96/34.14 (define @t68 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t27 @t2) @t61) @t3)) % 33.96/34.14 (define @t69 () (tptp.member @t63 @t67)) % 33.96/34.14 (define @t70 () (@list @t1)) % 33.96/34.14 (define @t71 () (tptp.successor @t3)) % 33.96/34.14 (define @t72 () (= @t71 @t1)) % 33.96/34.14 (define @t73 () (tptp.member @t23 tptp.successor_relation)) % 33.96/34.14 (define @t74 () (tptp.member tptp.null_class @t3)) % 33.96/34.14 (define @t75 () (tptp.inductive @t3)) % 33.96/34.14 (define @t76 () (not @t75)) % 33.96/34.14 (define @t77 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 33.96/34.14 (define @t78 () (tptp.sum_class @t3)) % 33.96/34.14 (define @t79 () (@var "Yr" $$unsorted)) % 33.96/34.14 (define @t80 () (tptp.compose @t79 @t54)) % 33.96/34.14 (define @t81 () (tptp.member @t33 (tptp.image @t79 (tptp.image @t54 @t24)))) % 33.96/34.14 (define @t82 () (tptp.ordered_pair @t1 @t33)) % 33.96/34.14 (define @t83 () (tptp.member @t82 @t80)) % 33.96/34.14 (define @t84 () (tptp.subclass (tptp.compose @t3 (tptp.inverse @t3)) tptp.identity_relation)) % 33.96/34.14 (define @t85 () (tptp.single_valued_class @t3)) % 33.96/34.14 (define @t86 () (@var "Xf" $$unsorted)) % 33.96/34.14 (define @t87 () (tptp.subclass @t86 @t39)) % 33.96/34.14 (define @t88 () (tptp.function @t86)) % 33.96/34.14 (define @t89 () (not @t88)) % 33.96/34.14 (define @t90 () (@list @t86)) % 33.96/34.14 (define @t91 () (tptp.inverse @t86)) % 33.96/34.14 (define @t92 () (tptp.subclass (tptp.compose @t86 @t91) tptp.identity_relation)) % 33.96/34.14 (define @t93 () (tptp.regular @t3)) % 33.96/34.14 (define @t94 () (= @t3 tptp.null_class)) % 33.96/34.14 (define @t95 () (tptp.one_to_one @t86)) % 33.96/34.14 (define @t96 () (not @t95)) % 33.96/34.14 (define @t97 () (tptp.function @t91)) % 33.96/34.14 (define @t98 () (tptp.inverse tptp.element_relation)) % 33.96/34.14 (define @t99 () (tptp.operation @t86)) % 33.96/34.14 (define @t100 () (not @t99)) % 33.96/34.14 (define @t101 () (tptp.domain_of @t86)) % 33.96/34.14 (define @t102 () (tptp.domain_of @t101)) % 33.96/34.14 (define @t103 () (= (tptp.cross_product @t102 @t102) @t101)) % 33.96/34.14 (define @t104 () (tptp.subclass (tptp.range_of @t86) @t102)) % 33.96/34.14 (define @t105 () (@var "Xh" $$unsorted)) % 33.96/34.14 (define @t106 () (tptp.function @t105)) % 33.96/34.14 (define @t107 () (@var "Xf2" $$unsorted)) % 33.96/34.14 (define @t108 () (@var "Xf1" $$unsorted)) % 33.96/34.14 (define @t109 () (tptp.compatible @t105 @t108 @t107)) % 33.96/34.14 (define @t110 () (not @t109)) % 33.96/34.14 (define @t111 () (@list @t105 @t108 @t107)) % 33.96/34.14 (define @t112 () (tptp.domain_of @t108)) % 33.96/34.14 (define @t113 () (= (tptp.domain_of @t112) (tptp.domain_of @t105))) % 33.96/34.14 (define @t114 () (tptp.subclass (tptp.range_of @t105) (tptp.domain_of (tptp.domain_of @t107)))) % 33.96/34.14 (define @t115 () (tptp.operation @t108)) % 33.96/34.14 (define @t116 () (tptp.homomorphism @t105 @t108 @t107)) % 33.96/34.14 (define @t117 () (not @t116)) % 33.96/34.14 (define @t118 () (tptp.operation @t107)) % 33.96/34.14 (define @t119 () (tptp.not_homomorphism2 @t105 @t108 @t107)) % 33.96/34.14 (define @t120 () (tptp.not_homomorphism1 @t105 @t108 @t107)) % 33.96/34.14 (define @t121 () (tptp.ordered_pair @t120 @t119)) % 33.96/34.14 (define @t122 () (not @t118)) % 33.96/34.14 (define @t123 () (not @t115)) % 33.96/34.14 (define @t124 () (@list @t108 @t107 @t105)) % 33.96/34.14 (define @t125 () (tptp.ordered_pair tptp.u tptp.v)) % 33.96/34.14 (define @t126 () (tptp.member @t125 @t39)) % 33.96/34.14 (define @t127 () (tptp.second @t125)) % 33.96/34.14 (define @t128 () (= @t127 tptp.v)) % 33.96/34.14 (define @t129 () (tptp.unordered_pair tptp.u tptp.u)) % 33.96/34.14 (define @t130 () (tptp.singleton tptp.u)) % 33.96/34.14 (define @t131 () (= @t129 @t130)) % 33.96/34.14 (define @t132 () (= @t130 @t129)) % 33.96/34.14 (define @t133 () (@list false)) % 33.96/34.14 (define @t134 () (@list @t22)) % 33.96/34.14 (define @t135 () (tptp.singleton @t127)) % 33.96/34.14 (define @t136 () (tptp.first @t125)) % 33.96/34.14 (define @t137 () (@list @t136 @t135)) % 33.96/34.14 (define @t138 () (tptp.ordered_pair @t136 @t127)) % 33.96/34.14 (define @t139 () (= @t125 @t138)) % 33.96/34.14 (define @t140 () (not @t126)) % 33.96/34.14 (define @t141 () (or @t140 @t139)) % 33.96/34.14 (define @t142 () (@list false false)) % 33.96/34.14 (define @t143 () (tptp.member @t138 @t39)) % 33.96/34.14 (define @t144 () (tptp.member @t136 tptp.universal_class)) % 33.96/34.14 (define @t145 () (not @t143)) % 33.96/34.14 (define @t146 () (or @t145 @t144)) % 33.96/34.14 (define @t147 () (tptp.unordered_pair @t136 @t135)) % 33.96/34.14 (define @t148 () (tptp.member @t136 @t147)) % 33.96/34.14 (define @t149 () (not @t144)) % 33.96/34.14 (define @t150 () (or @t149 @t148)) % 33.96/34.14 (define @t151 () (tptp.singleton @t136)) % 33.96/34.14 (define @t152 () (tptp.unordered_pair @t151 @t147)) % 33.96/34.14 (define @t153 () (tptp.member @t130 @t152)) % 33.96/34.14 (define @t154 () (not @t153)) % 33.96/34.14 (define @t155 () (or @t154 (= @t151 @t130) (= @t147 @t130))) % 33.96/34.14 (define @t156 () (forall @t17 (or @t15 (= @t3 @t2) (= @t1 @t2)))) % 33.96/34.14 (define @t157 () (= @t130 @t147)) % 33.96/34.14 (define @t158 () (= @t130 @t151)) % 33.96/34.14 (define @t159 () (or @t154 @t158 @t157)) % 33.96/34.14 (define @t160 () (@list @t156)) % 33.96/34.14 (define @t161 () (tptp.singleton tptp.v)) % 33.96/34.14 (define @t162 () (@list tptp.v tptp.v)) % 33.96/34.14 (define @t163 () (tptp.unordered_pair tptp.v tptp.v)) % 33.96/34.14 (define @t164 () (= @t163 @t161)) % 33.96/34.14 (define @t165 () (= @t161 @t163)) % 33.96/34.14 (define @t166 () (tptp.member @t161 tptp.universal_class)) % 33.96/34.14 (define @t167 () (tptp.unordered_pair tptp.u @t161)) % 33.96/34.14 (define @t168 () (tptp.member @t161 @t167)) % 33.96/34.14 (define @t169 () (not @t166)) % 33.96/34.14 (define @t170 () (or @t169 @t168)) % 33.96/34.14 (define @t171 () (tptp.member @t161 @t129)) % 33.96/34.14 (define @t172 () (= @t167 @t151)) % 33.96/34.14 (define @t173 () (not @t172)) % 33.96/34.14 (define @t174 () (not @t158)) % 33.96/34.14 (define @t175 () (not @t132)) % 33.96/34.14 (define @t176 () (not @t168)) % 33.96/34.14 (define @t177 () (not @t171)) % 33.96/34.14 (define @t178 () (= true false)) % 33.96/34.14 (define @t179 () (and @t177 @t132 @t158 @t172 @t168)) % 33.96/34.14 (define @t180 () (= tptp.u @t161)) % 33.96/34.14 (define @t181 () (or @t177 @t180 @t180)) % 33.96/34.14 (define @t182 () (tptp.unordered_pair @t127 @t127)) % 33.96/34.14 (define @t183 () (tptp.member tptp.v @t182)) % 33.96/34.14 (define @t184 () (not @t183)) % 33.96/34.14 (define @t185 () (or @t184 @t128 @t128)) % 33.96/34.14 (define @t186 () (= tptp.v @t127)) % 33.96/34.14 (define @t187 () (or @t184 @t186 @t186)) % 33.96/34.14 (define @t188 () (@list true false)) % 33.96/34.14 (define @t189 () (= @t182 @t135)) % 33.96/34.14 (define @t190 () (@list @t127)) % 33.96/34.14 (define @t191 () (= @t135 @t182)) % 33.96/34.14 (define @t192 () (@list tptp.u tptp.v tptp.universal_class tptp.universal_class)) % 33.96/34.14 (define @t193 () (tptp.member tptp.v tptp.universal_class)) % 33.96/34.14 (define @t194 () (or @t140 @t193)) % 33.96/34.14 (define @t195 () (tptp.member tptp.v @t163)) % 33.96/34.14 (define @t196 () (not @t193)) % 33.96/34.14 (define @t197 () (or @t196 @t195)) % 33.96/34.14 (define @t198 () (not @t191)) % 33.96/34.14 (define @t199 () (not @t195)) % 33.96/34.14 (define @t200 () (= @t161 @t135)) % 33.96/34.14 (define @t201 () (not @t200)) % 33.96/34.14 (define @t202 () (not @t165)) % 33.96/34.14 (define @t203 () (and @t195 @t165 @t200 @t191 @t184)) % 33.96/34.14 (define @t204 () (= tptp.u @t135)) % 33.96/34.14 (define @t205 () (not @t204)) % 33.96/34.14 (define @t206 () (not @t180)) % 33.96/34.14 (define @t207 () (and @t180 @t201)) % 33.96/34.14 (define @t208 () (tptp.member @t135 @t167)) % 33.96/34.14 (define @t209 () (not @t208)) % 33.96/34.14 (define @t210 () (or @t209 @t204 @t200)) % 33.96/34.14 (define @t211 () (tptp.member @t135 tptp.universal_class)) % 33.96/34.14 (define @t212 () (tptp.member @t135 @t147)) % 33.96/34.14 (define @t213 () (not @t211)) % 33.96/34.14 (define @t214 () (or @t213 @t212)) % 33.96/34.14 (define @t215 () (not @t212)) % 33.96/34.14 (define @t216 () (not @t157)) % 33.96/34.14 (define @t217 () (and @t209 @t172 @t158 @t157 @t212)) % 33.96/34.14 (define @t218 () (tptp.member @t147 @t152)) % 33.96/34.14 (define @t219 () (tptp.member @t147 tptp.universal_class)) % 33.96/34.14 (define @t220 () (not @t219)) % 33.96/34.14 (define @t221 () (or @t220 @t218)) % 33.96/34.14 (define @t222 () (= @t152 @t138)) % 33.96/34.14 (define @t223 () (@list @t136 @t127)) % 33.96/34.14 (define @t224 () (@list @t25)) % 33.96/34.14 (define @t225 () (tptp.unordered_pair @t130 @t167)) % 33.96/34.14 (define @t226 () (tptp.member @t147 @t225)) % 33.96/34.14 (define @t227 () (= @t167 @t147)) % 33.96/34.14 (define @t228 () (not @t226)) % 33.96/34.14 (define @t229 () (or @t228 @t157 @t227)) % 33.96/34.14 (define @t230 () (not @t227)) % 33.96/34.14 (define @t231 () (and @t158 @t172 @t216)) % 33.96/34.14 (define @t232 () (tptp.member @t167 @t225)) % 33.96/34.14 (define @t233 () (tptp.member @t167 tptp.universal_class)) % 33.96/34.14 (define @t234 () (not @t233)) % 33.96/34.14 (define @t235 () (or @t234 @t232)) % 33.96/34.14 (define @t236 () (= @t225 @t125)) % 33.96/34.14 (define @t237 () (tptp.member @t167 @t152)) % 33.96/34.14 (define @t238 () (not @t237)) % 33.96/34.14 (define @t239 () (or @t238 (= @t151 @t167) (= @t147 @t167))) % 33.96/34.14 (define @t240 () (or @t238 @t172 @t227)) % 33.96/34.14 (define @t241 () (tptp.member @t161 @t147)) % 33.96/34.14 (define @t242 () (and @t168 @t227)) % 33.96/34.14 (define @t243 () (not @t241)) % 33.96/34.14 (define @t244 () (or @t243 (= @t136 @t161) (= @t135 @t161))) % 33.96/34.14 (define @t245 () (= @t161 @t136)) % 33.96/34.14 (define @t246 () (or @t243 @t245 @t200)) % 33.96/34.14 (define @t247 () (and @t227 @t212)) % 33.96/34.14 (define @t248 () (@list tptp.u tptp.u)) % 33.96/34.14 (define @t249 () (tptp.member tptp.u tptp.universal_class)) % 33.96/34.14 (define @t250 () (or @t140 @t249)) % 33.96/34.14 (define @t251 () (tptp.member tptp.u @t129)) % 33.96/34.14 (define @t252 () (not @t249)) % 33.96/34.14 (define @t253 () (or @t252 @t251)) % 33.96/34.14 (define @t254 () (tptp.unordered_pair @t136 @t136)) % 33.96/34.14 (define @t255 () (= @t254 @t151)) % 33.96/34.14 (define @t256 () (@list @t136)) % 33.96/34.14 (define @t257 () (= @t151 @t254)) % 33.96/34.14 (define @t258 () (tptp.unordered_pair @t136 @t161)) % 33.96/34.14 (define @t259 () (tptp.member tptp.u @t258)) % 33.96/34.14 (define @t260 () (and @t132 @t158 @t245 @t251 @t257)) % 33.96/34.14 (define @t261 () (= tptp.u @t136)) % 33.96/34.14 (define @t262 () (and @t261 @t245)) % 33.96/34.14 (define @t263 () (not @t261)) % 33.96/34.14 (define @t264 () (not @t259)) % 33.96/34.14 (define @t265 () (or @t264 (= @t136 tptp.u) (= @t161 tptp.u))) % 33.96/34.14 (define @t266 () (or @t264 @t261 @t180)) % 33.96/34.14 (define @t267 () (tptp.member @t130 tptp.universal_class)) % 33.96/34.14 (define @t268 () (tptp.member @t130 @t225)) % 33.96/34.14 (define @t269 () (not @t267)) % 33.96/34.14 (define @t270 () (or @t269 @t268)) % 33.96/34.14 (define @t271 () (tptp.member @t136 @t129)) % 33.96/34.14 (define @t272 () (not @t271)) % 33.96/34.14 (define @t273 () (or @t272 @t261 @t261)) % 33.96/34.14 (define @t274 () (not @t148)) % 33.96/34.14 (define @t275 () (and @t272 @t132 @t157 @t148)) % 33.96/34.14 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 33.96/34.14 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 33.96/34.14 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 33.96/34.14 (assume @p4 (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 33.96/34.14 (assume @p5 (forall @t9 (or @t12 @t6))) % 33.96/34.14 (assume @p6 (forall @t9 (or @t12 @t13))) % 33.96/34.14 (assume @p7 (forall @t9 (or @t7 (not @t13) @t11))) % 33.96/34.14 (assume @p8 @t18) % 33.96/34.14 (assume @p9 (forall @t9 (or @t19 (tptp.member @t3 @t14)))) % 33.96/34.14 (assume @p10 (forall (@list @t1 @t3) (or @t20 (tptp.member @t1 @t14)))) % 33.96/34.14 (assume @p11 (forall @t9 (tptp.member @t14 tptp.universal_class))) % 33.96/34.14 (assume @p12 @t22) % 33.96/34.14 (assume @p13 @t25) % 33.96/34.14 (assume @p14 (forall @t31 (or @t30 @t4))) % 33.96/34.14 (assume @p15 (forall @t31 (or @t30 @t32))) % 33.96/34.14 (assume @p16 (forall (@list @t2 @t3 @t27 @t1) (or @t5 (not @t32) @t29))) % 33.96/34.14 (assume @p17 @t38) % 33.96/34.14 (assume @p18 (tptp.subclass tptp.element_relation @t39)) % 33.96/34.14 (assume @p19 (forall @t9 (or (not @t41) @t40))) % 33.96/34.14 (assume @p20 (forall @t9 (or @t42 (not @t40) @t41))) % 33.96/34.14 (assume @p21 (forall @t37 (or @t46 @t43))) % 33.96/34.14 (assume @p22 (forall @t37 (or @t46 @t47))) % 33.96/34.14 (assume @p23 (forall @t37 (or @t48 (not @t47) @t45))) % 33.96/34.14 (assume @p24 (forall @t51 (or (not @t50) @t48))) % 33.96/34.14 (assume @p25 (forall @t51 (or @t52 @t50 @t43))) % 33.96/34.14 (assume @p26 (forall @t9 (= @t53 (tptp.union @t3 @t1)))) % 33.96/34.14 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t44) @t53) (tptp.symmetric_difference @t3 @t1)))) % 33.96/34.14 (assume @p28 (forall (@list @t54 @t3 @t1) (= (tptp.intersection @t54 @t26) @t55))) % 33.96/34.14 (assume @p29 (forall (@list @t3 @t1 @t54) (= (tptp.intersection @t26 @t54) @t55))) % 33.96/34.14 (assume @p30 (forall (@list @t3 @t33) (or (not @t58) (not @t57)))) % 33.96/34.14 (assume @p31 (forall @t51 (or @t52 @t58 @t57))) % 33.96/34.14 (assume @p32 (forall @t10 (tptp.subclass @t60 @t59))) % 33.96/34.14 (assume @p33 (forall @t65 (or (not @t64) @t62))) % 33.96/34.14 (assume @p34 (forall (@list @t27 @t61 @t2 @t3) (or (not @t62) @t66 @t64))) % 33.96/34.14 (assume @p35 (forall @t10 (tptp.subclass @t67 @t59))) % 33.96/34.14 (assume @p36 (forall @t65 (or (not @t69) @t68))) % 33.96/34.14 (assume @p37 (forall (@list @t27 @t2 @t61 @t3) (or (not @t68) @t66 @t69))) % 33.96/34.14 (assume @p38 (forall @t70 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 33.96/34.14 (assume @p39 (forall (@list @t33) (= (tptp.domain_of (tptp.inverse @t33)) (tptp.range_of @t33)))) % 33.96/34.14 (assume @p40 (forall @t37 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t33 @t3 @t24) tptp.null_class)) (tptp.domain @t33 @t3 @t1)))) % 33.96/34.14 (assume @p41 (forall @t37 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t33 @t21 @t1) tptp.null_class)) (tptp.range @t33 @t3 @t1)))) % 33.96/34.14 (assume @p42 (forall (@list @t54 @t3) (= (tptp.range_of (tptp.restrict @t54 @t3 tptp.universal_class)) (tptp.image @t54 @t3)))) % 33.96/34.14 (assume @p43 (forall @t10 (= (tptp.union @t3 @t21) @t71))) % 33.96/34.14 (assume @p44 (tptp.subclass tptp.successor_relation @t39)) % 33.96/34.14 (assume @p45 (forall @t9 (or (not @t73) @t72))) % 33.96/34.14 (assume @p46 (forall @t9 (or (not @t72) @t42 @t73))) % 33.96/34.14 (assume @p47 (forall @t10 (or @t76 @t74))) % 33.96/34.14 (assume @p48 (forall @t10 (or @t76 @t77))) % 33.96/34.14 (assume @p49 (forall @t10 (or (not @t74) (not @t77) @t75))) % 33.96/34.14 (assume @p50 (tptp.inductive tptp.omega)) % 33.96/34.14 (assume @p51 (forall @t70 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 33.96/34.14 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 33.96/34.14 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t78))) % 33.96/34.14 (assume @p54 (forall @t10 (or @t19 (tptp.member @t78 tptp.universal_class)))) % 33.96/34.14 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t49)) (tptp.power_class @t3)))) % 33.96/34.14 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 33.96/34.14 (assume @p57 (forall (@list @t79 @t54) (tptp.subclass @t80 @t39))) % 33.96/34.14 (assume @p58 (forall (@list @t1 @t33 @t79 @t54) (or (not @t83) @t81))) % 33.96/34.14 (assume @p59 (forall (@list @t33 @t79 @t54 @t1) (or (not @t81) (not (tptp.member @t82 @t39)) @t83))) % 33.96/34.14 (assume @p60 (forall @t10 (or (not @t85) @t84))) % 33.96/34.14 (assume @p61 (forall @t10 (or (not @t84) @t85))) % 33.96/34.14 (assume @p62 (forall @t90 (or @t89 @t87))) % 33.96/34.14 (assume @p63 (forall @t90 (or @t89 @t92))) % 33.96/34.14 (assume @p64 (forall @t90 (or (not @t87) (not @t92) @t88))) % 33.96/34.14 (assume @p65 (forall (@list @t86 @t3) (or @t89 @t19 (tptp.member (tptp.image @t86 @t3) tptp.universal_class)))) % 33.96/34.14 (assume @p66 (forall @t10 (or @t94 (tptp.member @t93 @t3)))) % 33.96/34.14 (assume @p67 (forall @t10 (or @t94 (= (tptp.intersection @t3 @t93) tptp.null_class)))) % 33.96/34.14 (assume @p68 (forall (@list @t86 @t1) (= (tptp.sum_class (tptp.image @t86 @t24)) (tptp.apply @t86 @t1)))) % 33.96/34.14 (assume @p69 (tptp.function tptp.choice)) % 33.96/34.14 (assume @p70 (forall @t70 (or @t20 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 33.96/34.14 (assume @p71 (forall @t90 (or @t96 @t88))) % 33.96/34.14 (assume @p72 (forall @t90 (or @t96 @t97))) % 33.96/34.14 (assume @p73 (forall @t90 (or (not @t97) @t89 @t95))) % 33.96/34.14 (assume @p74 (= (tptp.intersection @t39 (tptp.intersection @t39 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) @t98)))) tptp.subset_relation)) % 33.96/34.14 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 33.96/34.14 (assume @p76 (forall (@list @t54) (= (tptp.complement (tptp.domain_of (tptp.intersection @t54 tptp.identity_relation))) (tptp.diagonalise @t54)))) % 33.96/34.14 (assume @p77 (forall @t10 (= (tptp.intersection @t56 (tptp.diagonalise (tptp.compose @t98 @t3))) (tptp.cantor @t3)))) % 33.96/34.14 (assume @p78 (forall @t90 (or @t100 @t88))) % 33.96/34.14 (assume @p79 (forall @t90 (or @t100 @t103))) % 33.96/34.14 (assume @p80 (forall @t90 (or @t100 @t104))) % 33.96/34.14 (assume @p81 (forall @t90 (or @t89 (not @t103) (not @t104) @t99))) % 33.96/34.14 (assume @p82 (forall @t111 (or @t110 @t106))) % 33.96/34.14 (assume @p83 (forall @t111 (or @t110 @t113))) % 33.96/34.14 (assume @p84 (forall @t111 (or @t110 @t114))) % 33.96/34.14 (assume @p85 (forall @t111 (or (not @t106) (not @t113) (not @t114) @t109))) % 33.96/34.14 (assume @p86 (forall @t111 (or @t117 @t115))) % 33.96/34.14 (assume @p87 (forall @t111 (or @t117 @t118))) % 33.96/34.14 (assume @p88 (forall @t111 (or @t117 @t109))) % 33.96/34.14 (assume @p89 (forall (@list @t105 @t108 @t107 @t3 @t1) (or @t117 (not (tptp.member @t23 @t112)) (= (tptp.apply @t107 (tptp.ordered_pair (tptp.apply @t105 @t3) (tptp.apply @t105 @t1))) (tptp.apply @t105 (tptp.apply @t108 @t23)))))) % 33.96/34.14 (assume @p90 (forall @t124 (or @t123 @t122 @t110 (tptp.member @t121 @t112) @t116))) % 33.96/34.14 (assume @p91 (forall @t124 (or @t123 @t122 @t110 (not (= (tptp.apply @t107 (tptp.ordered_pair (tptp.apply @t105 @t120) (tptp.apply @t105 @t119))) (tptp.apply @t105 (tptp.apply @t108 @t121)))) @t116))) % 33.96/34.14 (assume @p92 @t126) % 33.96/34.14 (assume @p93 (not @t128)) % 33.96/34.14 (step @p94 :rule eq-symm :args (@t129 @t130)) % 33.96/34.14 (step @p95 :rule refl :args (@t22)) % 33.96/34.14 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t22 @t131))) % 33.96/34.14 (assume-push @p660 @t22) % 33.96/34.14 (step @p98 :rule instantiate :premises (@p12) :args ((@list tptp.u))) % 33.96/34.14 (step-pop @p661 :rule scope :premises (@p98)) % 33.96/34.14 (step @p99 :rule process_scope :premises (@p661) :args (@t131)) % 33.96/34.14 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 33.96/34.14 (step @p102 :rule implies_elim :premises (@p101)) % 33.96/34.14 (step @p103 :rule chain_m_resolution :premises (@p102 @p12) :args (@t132 @t133 @t134)) % 33.96/34.14 (step @p104 :rule instantiate :premises (@p9) :args (@t137)) % 33.96/34.14 (step @p105 :rule instantiate :premises (@p14) :args ((@list @t136 @t127 tptp.universal_class tptp.universal_class))) % 33.96/34.14 (step @p106 :rule true_intro :premises (@p92)) % 33.96/34.14 (step @p107 :rule refl :args (@t39)) % 33.96/34.14 (step @p108 :rule eq-symm :args (@t34 @t33)) % 33.96/34.14 (step @p109 :rule refl :args (@t35)) % 33.96/34.14 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t36)) % 33.96/34.14 (step @p111 :rule cong :premises (@p110) :args (@t38)) % 33.96/34.14 (step @p112 :rule eq_resolve :premises (@p17 @p111)) % 33.96/34.14 (step @p113 :rule instantiate :premises (@p112) :args ((@list @t125 tptp.universal_class tptp.universal_class))) % 33.96/34.14 (step @p114 :rule cnf_or_pos :args (@t141)) % 33.96/34.14 (step @p115 :rule reordering :premises (@p114) :args ((or @t140 @t139 (not @t141)))) % 33.96/34.14 (step @p116 :rule chain_m_resolution :premises (@p115 @p92 @p113) :args (@t139 @t142 (@list @t126 @t141))) % 33.96/34.14 (step @p117 :rule symm :premises (@p116)) % 33.96/34.14 (step @p118 :rule cong :premises (@p117 @p107) :args (@t143)) % 33.96/34.14 (step @p119 :rule trans :premises (@p118 @p106)) % 33.96/34.14 (step @p120 :rule true_elim :premises (@p119)) % 33.96/34.14 (step @p121 :rule cnf_or_pos :args (@t146)) % 33.96/34.14 (step @p122 :rule reordering :premises (@p121) :args ((or @t145 @t144 (not @t146)))) % 33.96/34.14 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p105) :args (@t144 @t142 (@list @t143 @t146))) % 33.96/34.14 (step @p124 :rule cnf_or_pos :args (@t150)) % 33.96/34.14 (step @p125 :rule reordering :premises (@p124) :args ((or @t149 @t148 (not @t150)))) % 33.96/34.14 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p104) :args (@t148 @t142 (@list @t144 @t150))) % 33.96/34.14 (step @p127 :rule eq-symm :args (@t2 @t1)) % 33.96/34.14 (step @p128 :rule eq-symm :args (@t2 @t3)) % 33.96/34.14 (step @p129 :rule refl :args (@t15)) % 33.96/34.14 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127) :args (@t16)) % 33.96/34.14 (step @p131 :rule cong :premises (@p130) :args (@t18)) % 33.96/34.14 (step @p132 :rule eq_resolve :premises (@p8 @p131)) % 33.96/34.14 (step @p133 :rule eq-symm :args (@t147 @t130)) % 33.96/34.14 (step @p134 :rule eq-symm :args (@t151 @t130)) % 33.96/34.14 (step @p135 :rule refl :args (@t154)) % 33.96/34.14 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args (@t155)) % 33.96/34.14 (step @p137 :rule refl :args (@t156)) % 33.96/34.14 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t156 @t155))) % 33.96/34.14 (assume-push @p662 @t156) % 33.96/34.14 (step @p140 :rule instantiate :premises (@p132) :args ((@list @t130 @t151 @t147))) % 33.96/34.14 (step-pop @p663 :rule scope :premises (@p140)) % 33.96/34.14 (step @p141 :rule process_scope :premises (@p663) :args (@t155)) % 33.96/34.14 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 33.96/34.14 (step @p144 :rule implies_elim :premises (@p143)) % 33.96/34.14 (step @p145 :rule chain_m_resolution :premises (@p144 @p132) :args (@t159 @t133 @t160)) % 33.96/34.14 (step @p146 :rule instantiate :premises (@p10) :args ((@list @t161 tptp.u))) % 33.96/34.14 (step @p147 :rule instantiate :premises (@p11) :args (@t162)) % 33.96/34.14 (step @p148 :rule true_intro :premises (@p147)) % 33.96/34.14 (step @p149 :rule refl :args (tptp.universal_class)) % 33.96/34.14 (step @p150 :rule eq-symm :args (@t163 @t161)) % 33.96/34.14 (step @p151 :rule cong :premises (@p95 @p150) :args ((=> @t22 @t164))) % 33.96/34.14 (assume-push @p664 @t22) % 33.96/34.14 (step @p153 :rule instantiate :premises (@p12) :args ((@list tptp.v))) % 33.96/34.14 (step-pop @p665 :rule scope :premises (@p153)) % 33.96/34.14 (step @p154 :rule process_scope :premises (@p665) :args (@t164)) % 33.96/34.14 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 33.96/34.14 (step @p157 :rule implies_elim :premises (@p156)) % 33.96/34.14 (step @p158 :rule chain_m_resolution :premises (@p157 @p12) :args (@t165 @t133 @t134)) % 33.96/34.14 (step @p159 :rule cong :premises (@p158 @p149) :args (@t166)) % 33.96/34.14 (step @p160 :rule trans :premises (@p159 @p148)) % 33.96/34.14 (step @p161 :rule true_elim :premises (@p160)) % 33.96/34.14 (step @p162 :rule cnf_or_pos :args (@t170)) % 33.96/34.14 (step @p163 :rule reordering :premises (@p162) :args ((or @t169 @t168 (not @t170)))) % 33.96/34.14 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p146) :args (@t168 @t142 (@list @t166 @t170))) % 33.96/34.14 (step @p165 :rule bool-double-not-elim :args (@t171)) % 33.96/34.14 (step @p166 :rule refl :args (@t173)) % 33.96/34.14 (step @p167 :rule refl :args (@t174)) % 33.96/34.14 (step @p168 :rule refl :args (@t175)) % 33.96/34.14 (step @p169 :rule refl :args (@t176)) % 33.96/34.14 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167 @p166 @p165) :args ((or @t176 @t175 @t174 @t173 (not @t177)))) % 33.96/34.14 (assume-push @p666 @t177) % 33.96/34.14 (assume-push @p667 @t132) % 33.96/34.14 (assume-push @p668 @t158) % 33.96/34.14 (assume-push @p669 @t172) % 33.96/34.14 (assume-push @p670 @t168) % 33.96/34.14 (step @p176 :rule evaluate :args (@t178)) % 33.96/34.14 (step @p177 :rule false_intro :premises (@p666)) % 33.96/34.14 (step @p178 :rule symm :premises (@p668)) % 33.96/34.14 (step @p179 :rule trans :premises (@p669 @p178 @p103)) % 33.96/34.14 (step @p180 :rule refl :args (@t161)) % 33.96/34.14 (step @p181 :rule cong :premises (@p180 @p179) :args (@t168)) % 33.96/34.14 (step @p182 :rule true_intro :premises (@p164)) % 33.96/34.14 (step @p183 :rule symm :premises (@p182)) % 33.96/34.14 (step @p184 :rule trans :premises (@p183 @p181 @p177)) % 33.96/34.14 (step @p185 false :rule eq_resolve :premises (@p184 @p176)) % 33.96/34.14 (step-pop @p671 :rule scope :premises (@p185)) % 33.96/34.14 (step-pop @p672 :rule scope :premises (@p671)) % 33.96/34.14 (step-pop @p673 :rule scope :premises (@p672)) % 33.96/34.14 (step-pop @p674 :rule scope :premises (@p673)) % 33.96/34.14 (step-pop @p675 :rule scope :premises (@p674)) % 33.96/34.14 (step @p186 :rule process_scope :premises (@p675) :args (false)) % 33.96/34.14 (assume-push @p676 @t168) % 33.96/34.14 (assume-push @p677 @t132) % 33.96/34.14 (assume-push @p678 @t158) % 33.96/34.14 (assume-push @p679 @t172) % 33.96/34.14 (assume-push @p680 @t177) % 33.96/34.14 (step @p197 :rule and_intro :premises (@p680 @p103 @p678 @p679 @p164)) % 33.96/34.14 (step-pop @p681 :rule scope :premises (@p197)) % 33.96/34.14 (step-pop @p682 :rule scope :premises (@p681)) % 33.96/34.14 (step-pop @p683 :rule scope :premises (@p682)) % 33.96/34.14 (step-pop @p684 :rule scope :premises (@p683)) % 33.96/34.14 (step-pop @p685 :rule scope :premises (@p684)) % 33.96/34.14 (step @p198 :rule process_scope :premises (@p685) :args (@t179)) % 33.96/34.14 (step @p204 :rule implies_elim :premises (@p198)) % 33.96/34.14 (step @p205 :rule resolution :premises (@p204 @p186) :args (true @t179)) % 33.96/34.14 (step @p206 :rule not_and :premises (@p205)) % 33.96/34.14 (step @p207 :rule eq_resolve :premises (@p206 @p170)) % 33.96/34.14 (step @p208 :rule instantiate :premises (@p132) :args ((@list @t161 tptp.u tptp.u))) % 33.96/34.14 (step @p209 :rule cnf_or_pos :args (@t181)) % 33.96/34.14 (step @p210 :rule factoring :premises (@p209)) % 33.96/34.14 (step @p211 :rule reordering :premises (@p210) :args ((or @t177 @t180 (not @t181)))) % 33.96/34.14 (step @p212 :rule eq-symm :args (@t127 tptp.v)) % 33.96/34.14 (step @p213 :rule refl :args (@t184)) % 33.96/34.14 (step @p214 :rule nary_cong :premises (@p213 @p212 @p212) :args (@t185)) % 33.96/34.14 (step @p215 :rule cong :premises (@p137 @p214) :args ((=> @t156 @t185))) % 33.96/34.14 (assume-push @p686 @t156) % 33.96/34.14 (step @p217 :rule instantiate :premises (@p132) :args ((@list tptp.v @t127 @t127))) % 33.96/34.14 (step-pop @p687 :rule scope :premises (@p217)) % 33.96/34.14 (step @p218 :rule process_scope :premises (@p687) :args (@t185)) % 33.96/34.14 (step @p220 :rule eq_resolve :premises (@p218 @p215)) % 33.96/34.14 (step @p221 :rule implies_elim :premises (@p220)) % 33.96/34.14 (step @p222 :rule chain_m_resolution :premises (@p221 @p132) :args (@t187 @t133 @t160)) % 33.96/34.14 (step @p223 :rule symm :premises (@p93)) % 33.96/34.14 (step @p224 :rule cnf_or_pos :args (@t187)) % 33.96/34.14 (step @p225 :rule factoring :premises (@p224)) % 33.96/34.14 (step @p226 :rule reordering :premises (@p225) :args ((or @t186 @t184 (not @t187)))) % 33.96/34.14 (step @p227 :rule chain_m_resolution :premises (@p226 @p223 @p222) :args (@t184 @t188 (@list @t186 @t187))) % 33.96/34.14 (step @p228 :rule eq-symm :args (@t182 @t135)) % 33.96/34.14 (step @p229 :rule cong :premises (@p95 @p228) :args ((=> @t22 @t189))) % 33.96/34.14 (assume-push @p688 @t22) % 33.96/34.14 (step @p231 :rule instantiate :premises (@p12) :args (@t190)) % 33.96/34.14 (step-pop @p689 :rule scope :premises (@p231)) % 33.96/34.14 (step @p232 :rule process_scope :premises (@p689) :args (@t189)) % 33.96/34.14 (step @p234 :rule eq_resolve :premises (@p232 @p229)) % 33.96/34.14 (step @p235 :rule implies_elim :premises (@p234)) % 33.96/34.14 (step @p236 :rule chain_m_resolution :premises (@p235 @p12) :args (@t191 @t133 @t134)) % 33.96/34.14 (step @p237 :rule instantiate :premises (@p9) :args (@t162)) % 33.96/34.14 (step @p238 :rule instantiate :premises (@p15) :args (@t192)) % 33.96/34.14 (step @p239 :rule cnf_or_pos :args (@t194)) % 33.96/34.14 (step @p240 :rule reordering :premises (@p239) :args ((or @t140 @t193 (not @t194)))) % 33.96/34.14 (step @p241 :rule chain_m_resolution :premises (@p240 @p92 @p238) :args (@t193 @t142 (@list @t126 @t194))) % 33.96/34.14 (step @p242 :rule cnf_or_pos :args (@t197)) % 33.96/34.14 (step @p243 :rule reordering :premises (@p242) :args ((or @t196 @t195 (not @t197)))) % 33.96/34.14 (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p237) :args (@t195 @t142 (@list @t193 @t197))) % 33.96/34.14 (step @p245 :rule bool-double-not-elim :args (@t183)) % 33.96/34.14 (step @p246 :rule refl :args (@t198)) % 33.96/34.14 (step @p247 :rule refl :args (@t199)) % 33.96/34.14 (step @p248 :rule refl :args (@t201)) % 33.96/34.14 (step @p249 :rule refl :args (@t202)) % 33.96/34.14 (step @p250 :rule nary_cong :premises (@p249 @p248 @p247 @p246 @p245) :args ((or @t202 @t201 @t199 @t198 (not @t184)))) % 33.96/34.14 (assume-push @p690 @t195) % 33.96/34.14 (assume-push @p691 @t165) % 33.96/34.14 (assume-push @p692 @t200) % 33.96/34.14 (assume-push @p693 @t191) % 33.96/34.14 (assume-push @p694 @t184) % 33.96/34.14 (step @p256 :rule evaluate :args ((= false true))) % 33.96/34.14 (step @p257 :rule true_intro :premises (@p244)) % 33.96/34.14 (step @p258 :rule symm :premises (@p692)) % 33.96/34.14 (step @p231 :rule instantiate :premises (@p12) :args (@t190)) % 33.96/34.14 (step @p259 :rule trans :premises (@p231 @p258 @p158)) % 33.96/34.14 (step @p260 :rule refl :args (tptp.v)) % 33.96/34.14 (step @p261 :rule cong :premises (@p260 @p259) :args (@t183)) % 33.96/34.14 (step @p262 :rule false_intro :premises (@p227)) % 33.96/34.14 (step @p263 :rule symm :premises (@p262)) % 33.96/34.14 (step @p264 :rule trans :premises (@p263 @p261 @p257)) % 33.96/34.14 (step @p265 false :rule eq_resolve :premises (@p264 @p256)) % 33.96/34.14 (step-pop @p695 :rule scope :premises (@p265)) % 33.96/34.14 (step-pop @p696 :rule scope :premises (@p695)) % 33.96/34.14 (step-pop @p697 :rule scope :premises (@p696)) % 33.96/34.14 (step-pop @p698 :rule scope :premises (@p697)) % 33.96/34.14 (step-pop @p699 :rule scope :premises (@p698)) % 33.96/34.14 (step @p266 :rule process_scope :premises (@p699) :args (false)) % 33.96/34.14 (assume-push @p700 @t165) % 33.96/34.14 (assume-push @p701 @t200) % 33.96/34.14 (assume-push @p702 @t195) % 33.96/34.14 (assume-push @p703 @t191) % 33.96/34.14 (assume-push @p704 @t184) % 33.96/34.14 (step @p277 :rule and_intro :premises (@p244 @p158 @p701 @p236 @p227)) % 33.96/34.14 (step-pop @p705 :rule scope :premises (@p277)) % 33.96/34.14 (step-pop @p706 :rule scope :premises (@p705)) % 33.96/34.14 (step-pop @p707 :rule scope :premises (@p706)) % 33.96/34.14 (step-pop @p708 :rule scope :premises (@p707)) % 33.96/34.14 (step-pop @p709 :rule scope :premises (@p708)) % 33.96/34.14 (step @p278 :rule process_scope :premises (@p709) :args (@t203)) % 33.96/34.14 (step @p284 :rule implies_elim :premises (@p278)) % 33.96/34.14 (step @p285 :rule resolution :premises (@p284 @p266) :args (true @t203)) % 33.96/34.14 (step @p286 :rule not_and :premises (@p285)) % 33.96/34.14 (step @p287 :rule eq_resolve :premises (@p286 @p250)) % 33.96/34.14 (step @p288 :rule chain_m_resolution :premises (@p287 @p158 @p244 @p236 @p227) :args (@t201 (@list false false false true) (@list @t165 @t195 @t191 @t183))) % 33.96/34.14 (step @p289 :rule refl :args (@t205)) % 33.96/34.14 (step @p290 :rule bool-double-not-elim :args (@t200)) % 33.96/34.14 (step @p291 :rule refl :args (@t206)) % 33.96/34.14 (step @p292 :rule nary_cong :premises (@p291 @p290 @p289) :args ((or @t206 (not @t201) @t205))) % 33.96/34.14 (assume-push @p710 @t180) % 33.96/34.14 (assume-push @p711 @t201) % 33.96/34.14 (assume-push @p712 @t201) % 33.96/34.14 (assume-push @p713 @t180) % 33.96/34.14 (step @p297 :rule false_intro :premises (@p711)) % 33.96/34.14 (step @p298 :rule refl :args (@t135)) % 33.96/34.14 (step @p299 :rule cong :premises (@p710 @p298) :args (@t204)) % 33.96/34.14 (step @p300 :rule trans :premises (@p299 @p297)) % 33.96/34.14 (step @p301 :rule false_elim :premises (@p300)) % 33.96/34.14 (step-pop @p714 :rule scope :premises (@p301)) % 33.96/34.14 (step-pop @p715 :rule scope :premises (@p714)) % 33.96/34.14 (step @p302 :rule process_scope :premises (@p715) :args (@t205)) % 33.96/34.14 (step @p305 :rule and_intro :premises (@p711 @p710)) % 33.96/34.14 (step @p306 :rule modus_ponens :premises (@p305 @p302)) % 33.96/34.14 (step-pop @p716 :rule scope :premises (@p306)) % 33.96/34.14 (step-pop @p717 :rule scope :premises (@p716)) % 33.96/34.14 (step @p307 :rule process_scope :premises (@p717) :args (@t205)) % 33.96/34.14 (step @p310 :rule implies_elim :premises (@p307)) % 33.96/34.14 (step @p311 :rule cnf_and_neg :args (@t207)) % 33.96/34.14 (step @p312 :rule resolution :premises (@p311 @p310) :args (true @t207)) % 33.96/34.14 (step @p313 :rule eq_resolve :premises (@p312 @p292)) % 33.96/34.14 (step @p314 :rule instantiate :premises (@p132) :args ((@list @t135 tptp.u @t161))) % 33.96/34.14 (step @p315 :rule cnf_or_pos :args (@t210)) % 33.96/34.14 (step @p316 :rule reordering :premises (@p315) :args ((or @t204 @t200 @t209 (not @t210)))) % 33.96/34.14 (step @p317 :rule instantiate :premises (@p10) :args ((@list @t135 @t136))) % 33.96/34.14 (step @p318 :rule instantiate :premises (@p11) :args ((@list @t127 @t127))) % 33.96/34.14 (step @p319 :rule true_intro :premises (@p318)) % 33.96/34.14 (step @p320 :rule cong :premises (@p236 @p149) :args (@t211)) % 33.96/34.14 (step @p321 :rule trans :premises (@p320 @p319)) % 33.96/34.14 (step @p322 :rule true_elim :premises (@p321)) % 33.96/34.14 (step @p323 :rule cnf_or_pos :args (@t214)) % 33.96/34.14 (step @p324 :rule reordering :premises (@p323) :args ((or @t213 @t212 (not @t214)))) % 33.96/34.14 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p317) :args (@t212 @t142 (@list @t211 @t214))) % 33.96/34.14 (step @p326 :rule bool-double-not-elim :args (@t208)) % 33.96/34.14 (step @p327 :rule refl :args (@t215)) % 33.96/34.14 (step @p328 :rule refl :args (@t216)) % 33.96/34.14 (step @p329 :rule nary_cong :premises (@p167 @p328 @p166 @p327 @p326) :args ((or @t174 @t216 @t173 @t215 (not @t209)))) % 33.96/34.14 (assume-push @p718 @t209) % 33.96/34.14 (assume-push @p719 @t172) % 33.96/34.14 (assume-push @p720 @t158) % 33.96/34.14 (assume-push @p721 @t157) % 33.96/34.14 (assume-push @p722 @t212) % 33.96/34.14 (step @p176 :rule evaluate :args (@t178)) % 33.96/34.14 (step @p335 :rule false_intro :premises (@p718)) % 33.96/34.14 (step @p336 :rule symm :premises (@p719)) % 33.96/34.14 (step @p337 :rule symm :premises (@p721)) % 33.96/34.14 (step @p338 :rule trans :premises (@p337 @p720 @p336)) % 33.96/34.14 (step @p298 :rule refl :args (@t135)) % 33.96/34.14 (step @p339 :rule cong :premises (@p298 @p338) :args (@t212)) % 33.96/34.14 (step @p340 :rule true_intro :premises (@p325)) % 33.96/34.14 (step @p341 :rule symm :premises (@p340)) % 33.96/34.14 (step @p342 :rule trans :premises (@p341 @p339 @p335)) % 33.96/34.14 (step @p343 false :rule eq_resolve :premises (@p342 @p176)) % 33.96/34.14 (step-pop @p723 :rule scope :premises (@p343)) % 33.96/34.14 (step-pop @p724 :rule scope :premises (@p723)) % 33.96/34.14 (step-pop @p725 :rule scope :premises (@p724)) % 33.96/34.14 (step-pop @p726 :rule scope :premises (@p725)) % 33.96/34.14 (step-pop @p727 :rule scope :premises (@p726)) % 33.96/34.14 (step @p344 :rule process_scope :premises (@p727) :args (false)) % 33.96/34.14 (assume-push @p728 @t158) % 33.96/34.14 (assume-push @p729 @t157) % 33.96/34.14 (assume-push @p730 @t172) % 33.96/34.14 (assume-push @p731 @t212) % 33.96/34.14 (assume-push @p732 @t209) % 33.96/34.14 (step @p355 :rule and_intro :premises (@p732 @p730 @p728 @p729 @p325)) % 33.96/34.14 (step-pop @p733 :rule scope :premises (@p355)) % 33.96/34.14 (step-pop @p734 :rule scope :premises (@p733)) % 33.96/34.14 (step-pop @p735 :rule scope :premises (@p734)) % 33.96/34.14 (step-pop @p736 :rule scope :premises (@p735)) % 33.96/34.14 (step-pop @p737 :rule scope :premises (@p736)) % 33.96/34.14 (step @p356 :rule process_scope :premises (@p737) :args (@t217)) % 33.96/34.14 (step @p362 :rule implies_elim :premises (@p356)) % 33.96/34.14 (step @p363 :rule resolution :premises (@p362 @p344) :args (true @t217)) % 33.96/34.14 (step @p364 :rule not_and :premises (@p363)) % 33.96/34.14 (step @p365 :rule eq_resolve :premises (@p364 @p329)) % 33.96/34.14 (step @p366 :rule instantiate :premises (@p10) :args ((@list @t147 @t151))) % 33.96/34.14 (step @p367 :rule instantiate :premises (@p11) :args (@t137)) % 33.96/34.14 (step @p368 :rule cnf_or_pos :args (@t221)) % 33.96/34.14 (step @p369 :rule reordering :premises (@p368) :args ((or @t220 @t218 (not @t221)))) % 33.96/34.14 (step @p370 :rule chain_m_resolution :premises (@p369 @p367 @p366) :args (@t218 @t142 (@list @t219 @t221))) % 33.96/34.14 (step @p371 :rule true_intro :premises (@p370)) % 33.96/34.14 (step @p372 :rule eq-symm :args (@t152 @t138)) % 33.96/34.14 (step @p373 :rule refl :args (@t25)) % 33.96/34.14 (step @p374 :rule cong :premises (@p373 @p372) :args ((=> @t25 @t222))) % 33.96/34.14 (assume-push @p738 @t25) % 33.96/34.14 (step @p376 :rule instantiate :premises (@p13) :args (@t223)) % 33.96/34.14 (step-pop @p739 :rule scope :premises (@p376)) % 33.96/34.14 (step @p377 :rule process_scope :premises (@p739) :args (@t222)) % 33.96/34.14 (step @p379 :rule eq_resolve :premises (@p377 @p374)) % 33.96/34.14 (step @p380 :rule implies_elim :premises (@p379)) % 33.96/34.14 (step @p381 :rule chain_m_resolution :premises (@p380 @p13) :args ((= @t138 @t152) @t133 @t224)) % 33.96/34.14 (step @p382 :rule instantiate :premises (@p13) :args ((@list tptp.u tptp.v))) % 33.96/34.14 (step @p383 :rule trans :premises (@p382 @p116 @p381)) % 33.96/34.14 (step @p384 :rule refl :args (@t147)) % 33.96/34.14 (step @p385 :rule cong :premises (@p384 @p383) :args (@t226)) % 33.96/34.14 (step @p386 :rule trans :premises (@p385 @p371)) % 33.96/34.14 (step @p387 :rule true_elim :premises (@p386)) % 33.96/34.14 (step @p388 :rule instantiate :premises (@p132) :args ((@list @t147 @t130 @t167))) % 33.96/34.14 (step @p389 :rule cnf_or_pos :args (@t229)) % 33.96/34.14 (step @p390 :rule reordering :premises (@p389) :args ((or @t157 @t227 @t228 (not @t229)))) % 33.96/34.14 (step @p391 :rule refl :args (@t230)) % 33.96/34.14 (step @p392 :rule bool-double-not-elim :args (@t157)) % 33.96/34.14 (step @p393 :rule nary_cong :premises (@p167 @p166 @p392 @p391) :args ((or @t174 @t173 (not @t216) @t230))) % 33.96/34.14 (assume-push @p740 @t158) % 33.96/34.14 (assume-push @p741 @t172) % 33.96/34.14 (assume-push @p742 @t216) % 33.96/34.14 (assume-push @p743 @t216) % 33.96/34.14 (assume-push @p744 @t158) % 33.96/34.14 (assume-push @p745 @t172) % 33.96/34.14 (step @p400 :rule false_intro :premises (@p742)) % 33.96/34.14 (step @p401 :rule symm :premises (@p740)) % 33.96/34.14 (step @p402 :rule trans :premises (@p741 @p401)) % 33.96/34.14 (step @p403 :rule cong :premises (@p402 @p384) :args (@t227)) % 33.96/34.14 (step @p404 :rule trans :premises (@p403 @p400)) % 33.96/34.14 (step @p405 :rule false_elim :premises (@p404)) % 33.96/34.14 (step-pop @p746 :rule scope :premises (@p405)) % 33.96/34.14 (step-pop @p747 :rule scope :premises (@p746)) % 33.96/34.14 (step-pop @p748 :rule scope :premises (@p747)) % 33.96/34.14 (step @p406 :rule process_scope :premises (@p748) :args (@t230)) % 33.96/34.14 (step @p410 :rule and_intro :premises (@p742 @p740 @p741)) % 33.96/34.14 (step @p411 :rule modus_ponens :premises (@p410 @p406)) % 33.96/34.14 (step-pop @p749 :rule scope :premises (@p411)) % 33.96/34.14 (step-pop @p750 :rule scope :premises (@p749)) % 33.96/34.14 (step-pop @p751 :rule scope :premises (@p750)) % 33.96/34.14 (step @p412 :rule process_scope :premises (@p751) :args (@t230)) % 33.96/34.14 (step @p416 :rule implies_elim :premises (@p412)) % 33.96/34.14 (step @p417 :rule cnf_and_neg :args (@t231)) % 33.96/34.14 (step @p418 :rule resolution :premises (@p417 @p416) :args (true @t231)) % 33.96/34.14 (step @p419 :rule eq_resolve :premises (@p418 @p393)) % 33.96/34.14 (step @p420 :rule reordering :premises (@p419) :args ((or @t157 @t174 @t173 @t230))) % 33.96/34.14 (step @p421 :rule chain_m_resolution :premises (@p420 @p390 @p388 @p387 @p365 @p325 @p316 @p314 @p288 @p313 @p288 @p211 @p208 @p207 @p164 @p103) :args ((or @t174 @t173) (@list false false false true false true false true true true false false false false false) (@list @t227 @t229 @t226 @t157 @t212 @t208 @t210 @t200 @t204 @t200 @t180 @t181 @t171 @t168 @t132))) % 33.96/34.14 (step @p422 :rule instantiate :premises (@p10) :args ((@list @t167 @t130))) % 33.96/34.14 (step @p423 :rule instantiate :premises (@p11) :args ((@list tptp.u @t161))) % 33.96/34.14 (step @p424 :rule cnf_or_pos :args (@t235)) % 33.96/34.14 (step @p425 :rule reordering :premises (@p424) :args ((or @t234 @t232 (not @t235)))) % 33.96/34.14 (step @p426 :rule chain_m_resolution :premises (@p425 @p423 @p422) :args (@t232 @t142 (@list @t233 @t235))) % 33.96/34.14 (step @p427 :rule true_intro :premises (@p426)) % 33.96/34.14 (step @p428 :rule eq-symm :args (@t225 @t125)) % 33.96/34.14 (step @p429 :rule cong :premises (@p373 @p428) :args ((=> @t25 @t236))) % 33.96/34.14 (assume-push @p752 @t25) % 33.96/34.14 (step-pop @p753 :rule scope :premises (@p382)) % 33.96/34.14 (step @p431 :rule process_scope :premises (@p753) :args (@t236)) % 33.96/34.14 (step @p433 :rule eq_resolve :premises (@p431 @p429)) % 33.96/34.14 (step @p434 :rule implies_elim :premises (@p433)) % 33.96/34.14 (step @p435 :rule chain_m_resolution :premises (@p434 @p13) :args ((= @t125 @t225) @t133 @t224)) % 33.96/34.14 (step @p376 :rule instantiate :premises (@p13) :args (@t223)) % 33.96/34.14 (step @p436 :rule trans :premises (@p376 @p117 @p435)) % 33.96/34.14 (step @p437 :rule refl :args (@t167)) % 33.96/34.14 (step @p438 :rule cong :premises (@p437 @p436) :args (@t237)) % 33.96/34.14 (step @p439 :rule trans :premises (@p438 @p427)) % 33.96/34.14 (step @p440 :rule true_elim :premises (@p439)) % 33.96/34.14 (step @p441 :rule eq-symm :args (@t147 @t167)) % 33.96/34.14 (step @p442 :rule eq-symm :args (@t151 @t167)) % 33.96/34.14 (step @p443 :rule refl :args (@t238)) % 33.96/34.14 (step @p444 :rule nary_cong :premises (@p443 @p442 @p441) :args (@t239)) % 33.96/34.14 (step @p445 :rule cong :premises (@p137 @p444) :args ((=> @t156 @t239))) % 33.96/34.14 (assume-push @p754 @t156) % 33.96/34.14 (step @p447 :rule instantiate :premises (@p132) :args ((@list @t167 @t151 @t147))) % 33.96/34.14 (step-pop @p755 :rule scope :premises (@p447)) % 33.96/34.14 (step @p448 :rule process_scope :premises (@p755) :args (@t239)) % 33.96/34.14 (step @p450 :rule eq_resolve :premises (@p448 @p445)) % 33.96/34.14 (step @p451 :rule implies_elim :premises (@p450)) % 33.96/34.14 (step @p452 :rule chain_m_resolution :premises (@p451 @p132) :args (@t240 @t133 @t160)) % 33.96/34.14 (step @p453 :rule cnf_or_pos :args (@t240)) % 33.96/34.14 (step @p454 :rule reordering :premises (@p453) :args ((or @t238 @t172 @t227 (not @t240)))) % 33.96/34.14 (assume-push @p756 @t168) % 33.96/34.14 (assume-push @p757 @t227) % 33.96/34.14 (assume-push @p758 @t168) % 33.96/34.14 (assume-push @p759 @t227) % 33.96/34.14 (step @p182 :rule true_intro :premises (@p164)) % 33.96/34.14 (step @p459 :rule symm :premises (@p757)) % 33.96/34.14 (step @p180 :rule refl :args (@t161)) % 33.96/34.14 (step @p460 :rule cong :premises (@p180 @p459) :args (@t241)) % 33.96/34.14 (step @p461 :rule trans :premises (@p460 @p182)) % 33.96/34.14 (step @p462 :rule true_elim :premises (@p461)) % 33.96/34.14 (step-pop @p760 :rule scope :premises (@p462)) % 33.96/34.14 (step-pop @p761 :rule scope :premises (@p760)) % 33.96/34.14 (step @p463 :rule process_scope :premises (@p761) :args (@t241)) % 33.96/34.14 (step @p466 :rule and_intro :premises (@p164 @p757)) % 33.96/34.14 (step @p467 :rule modus_ponens :premises (@p466 @p463)) % 33.96/34.14 (step-pop @p762 :rule scope :premises (@p467)) % 33.96/34.14 (step-pop @p763 :rule scope :premises (@p762)) % 33.96/34.14 (step @p468 :rule process_scope :premises (@p763) :args (@t241)) % 33.96/34.14 (step @p471 :rule implies_elim :premises (@p468)) % 33.96/34.14 (step @p472 :rule cnf_and_neg :args (@t242)) % 33.96/34.14 (step @p473 :rule resolution :premises (@p472 @p471) :args (true @t242)) % 33.96/34.14 (step @p474 :rule eq-symm :args (@t135 @t161)) % 33.96/34.14 (step @p475 :rule eq-symm :args (@t136 @t161)) % 33.96/34.14 (step @p476 :rule refl :args (@t243)) % 33.96/34.14 (step @p477 :rule nary_cong :premises (@p476 @p475 @p474) :args (@t244)) % 33.96/34.14 (step @p478 :rule cong :premises (@p137 @p477) :args ((=> @t156 @t244))) % 33.96/34.14 (assume-push @p764 @t156) % 33.96/34.14 (step @p480 :rule instantiate :premises (@p132) :args ((@list @t161 @t136 @t135))) % 33.96/34.14 (step-pop @p765 :rule scope :premises (@p480)) % 33.96/34.14 (step @p481 :rule process_scope :premises (@p765) :args (@t244)) % 33.96/34.14 (step @p483 :rule eq_resolve :premises (@p481 @p478)) % 33.96/34.14 (step @p484 :rule implies_elim :premises (@p483)) % 33.96/34.14 (step @p485 :rule chain_m_resolution :premises (@p484 @p132) :args (@t246 @t133 @t160)) % 33.96/34.14 (step @p486 :rule cnf_or_pos :args (@t246)) % 33.96/34.14 (step @p487 :rule reordering :premises (@p486) :args ((or @t243 @t245 @t200 (not @t246)))) % 33.96/34.14 (assume-push @p766 @t227) % 33.96/34.14 (assume-push @p767 @t212) % 33.96/34.14 (assume-push @p768 @t212) % 33.96/34.14 (assume-push @p769 @t227) % 33.96/34.14 (step @p340 :rule true_intro :premises (@p325)) % 33.96/34.14 (step @p298 :rule refl :args (@t135)) % 33.96/34.14 (step @p492 :rule cong :premises (@p298 @p766) :args (@t208)) % 33.96/34.14 (step @p493 :rule trans :premises (@p492 @p340)) % 33.96/34.14 (step @p494 :rule true_elim :premises (@p493)) % 33.96/34.14 (step-pop @p770 :rule scope :premises (@p494)) % 33.96/34.14 (step-pop @p771 :rule scope :premises (@p770)) % 33.96/34.14 (step @p495 :rule process_scope :premises (@p771) :args (@t208)) % 33.96/34.14 (step @p498 :rule and_intro :premises (@p325 @p766)) % 33.96/34.14 (step @p499 :rule modus_ponens :premises (@p498 @p495)) % 33.96/34.14 (step-pop @p772 :rule scope :premises (@p499)) % 33.96/34.14 (step-pop @p773 :rule scope :premises (@p772)) % 33.96/34.14 (step @p500 :rule process_scope :premises (@p773) :args (@t208)) % 33.96/34.14 (step @p503 :rule implies_elim :premises (@p500)) % 33.96/34.14 (step @p504 :rule cnf_and_neg :args (@t247)) % 33.96/34.14 (step @p505 :rule resolution :premises (@p504 @p503) :args (true @t247)) % 33.96/34.14 (step @p506 :rule instantiate :premises (@p9) :args (@t248)) % 33.96/34.14 (step @p507 :rule instantiate :premises (@p14) :args (@t192)) % 33.96/34.14 (step @p508 :rule cnf_or_pos :args (@t250)) % 33.96/34.14 (step @p509 :rule reordering :premises (@p508) :args ((or @t140 @t249 (not @t250)))) % 33.96/34.14 (step @p510 :rule chain_m_resolution :premises (@p509 @p92 @p507) :args (@t249 @t142 (@list @t126 @t250))) % 33.96/34.14 (step @p511 :rule cnf_or_pos :args (@t253)) % 33.96/34.14 (step @p512 :rule reordering :premises (@p511) :args ((or @t252 @t251 (not @t253)))) % 33.96/34.14 (step @p513 :rule chain_m_resolution :premises (@p512 @p510 @p506) :args (@t251 @t142 (@list @t249 @t253))) % 33.96/34.14 (step @p514 :rule eq-symm :args (@t254 @t151)) % 33.96/34.14 (step @p515 :rule cong :premises (@p95 @p514) :args ((=> @t22 @t255))) % 33.96/34.14 (assume-push @p774 @t22) % 33.96/34.14 (step @p517 :rule instantiate :premises (@p12) :args (@t256)) % 33.96/34.14 (step-pop @p775 :rule scope :premises (@p517)) % 33.96/34.14 (step @p518 :rule process_scope :premises (@p775) :args (@t255)) % 33.96/34.14 (step @p520 :rule eq_resolve :premises (@p518 @p515)) % 33.96/34.14 (step @p521 :rule implies_elim :premises (@p520)) % 33.96/34.14 (step @p522 :rule chain_m_resolution :premises (@p521 @p12) :args (@t257 @t133 @t134)) % 33.96/34.14 (assume-push @p776 @t132) % 33.96/34.14 (assume-push @p777 @t158) % 33.96/34.14 (assume-push @p778 @t245) % 33.96/34.14 (assume-push @p779 @t251) % 33.96/34.14 (assume-push @p780 @t257) % 33.96/34.14 (assume-push @p781 @t251) % 33.96/34.14 (assume-push @p782 @t132) % 33.96/34.14 (assume-push @p783 @t158) % 33.96/34.14 (assume-push @p784 @t257) % 33.96/34.14 (assume-push @p785 @t245) % 33.96/34.14 (step @p533 :rule true_intro :premises (@p513)) % 33.96/34.14 (step @p534 :rule symm :premises (@p777)) % 33.96/34.14 (step @p517 :rule instantiate :premises (@p12) :args (@t256)) % 33.96/34.14 (step @p535 :rule refl :args (@t136)) % 33.96/34.14 (step @p536 :rule cong :premises (@p535 @p778) :args (@t258)) % 33.96/34.14 (step @p537 :rule trans :premises (@p536 @p517 @p534 @p103)) % 33.96/34.14 (step @p538 :rule refl :args (tptp.u)) % 33.96/34.14 (step @p539 :rule cong :premises (@p538 @p537) :args (@t259)) % 33.96/34.14 (step @p540 :rule trans :premises (@p539 @p533)) % 33.96/34.14 (step @p541 :rule true_elim :premises (@p540)) % 33.96/34.14 (step-pop @p786 :rule scope :premises (@p541)) % 33.96/34.14 (step-pop @p787 :rule scope :premises (@p786)) % 33.96/34.14 (step-pop @p788 :rule scope :premises (@p787)) % 33.96/34.14 (step-pop @p789 :rule scope :premises (@p788)) % 33.96/34.14 (step-pop @p790 :rule scope :premises (@p789)) % 33.96/34.14 (step @p542 :rule process_scope :premises (@p790) :args (@t259)) % 33.96/34.14 (step @p548 :rule and_intro :premises (@p513 @p103 @p777 @p522 @p778)) % 33.96/34.14 (step @p549 :rule modus_ponens :premises (@p548 @p542)) % 33.96/34.14 (step-pop @p791 :rule scope :premises (@p549)) % 33.96/34.14 (step-pop @p792 :rule scope :premises (@p791)) % 33.96/34.14 (step-pop @p793 :rule scope :premises (@p792)) % 33.96/34.14 (step-pop @p794 :rule scope :premises (@p793)) % 33.96/34.14 (step-pop @p795 :rule scope :premises (@p794)) % 33.96/34.14 (step @p550 :rule process_scope :premises (@p795) :args (@t259)) % 33.96/34.14 (step @p556 :rule implies_elim :premises (@p550)) % 33.96/34.14 (step @p557 :rule cnf_and_neg :args (@t260)) % 33.96/34.14 (step @p558 :rule resolution :premises (@p557 @p556) :args (true @t260)) % 33.96/34.14 (assume-push @p796 @t261) % 33.96/34.14 (assume-push @p797 @t245) % 33.96/34.14 (assume-push @p798 @t245) % 33.96/34.14 (assume-push @p799 @t261) % 33.96/34.14 (step @p563 :rule symm :premises (@p797)) % 33.96/34.14 (step @p564 :rule trans :premises (@p796 @p563)) % 33.96/34.14 (step-pop @p800 :rule scope :premises (@p564)) % 33.96/34.14 (step-pop @p801 :rule scope :premises (@p800)) % 33.96/34.14 (step @p565 :rule process_scope :premises (@p801) :args (@t180)) % 33.96/34.14 (step @p568 :rule and_intro :premises (@p797 @p796)) % 33.96/34.14 (step @p569 :rule modus_ponens :premises (@p568 @p565)) % 33.96/34.14 (step-pop @p802 :rule scope :premises (@p569)) % 33.96/34.14 (step-pop @p803 :rule scope :premises (@p802)) % 33.96/34.14 (step @p570 :rule process_scope :premises (@p803) :args (@t180)) % 33.96/34.14 (step @p573 :rule implies_elim :premises (@p570)) % 33.96/34.14 (step @p574 :rule cnf_and_neg :args (@t262)) % 33.96/34.14 (step @p575 :rule resolution :premises (@p574 @p573) :args (true @t262)) % 33.96/34.14 (step @p576 :rule reordering :premises (@p575) :args ((or @t180 @t263 (not @t245)))) % 33.96/34.14 (step @p577 :rule eq-symm :args (@t161 tptp.u)) % 33.96/34.14 (step @p578 :rule eq-symm :args (@t136 tptp.u)) % 33.96/34.14 (step @p579 :rule refl :args (@t264)) % 33.96/34.14 (step @p580 :rule nary_cong :premises (@p579 @p578 @p577) :args (@t265)) % 33.96/34.14 (step @p581 :rule cong :premises (@p137 @p580) :args ((=> @t156 @t265))) % 33.96/34.14 (assume-push @p804 @t156) % 33.96/34.14 (step @p583 :rule instantiate :premises (@p132) :args ((@list tptp.u @t136 @t161))) % 33.96/34.14 (step-pop @p805 :rule scope :premises (@p583)) % 33.96/34.14 (step @p584 :rule process_scope :premises (@p805) :args (@t265)) % 33.96/34.14 (step @p586 :rule eq_resolve :premises (@p584 @p581)) % 33.96/34.14 (step @p587 :rule implies_elim :premises (@p586)) % 33.96/34.14 (step @p588 :rule chain_m_resolution :premises (@p587 @p132) :args (@t266 @t133 @t160)) % 33.96/34.14 (step @p589 :rule cnf_or_pos :args (@t266)) % 33.96/34.14 (step @p590 :rule reordering :premises (@p589) :args ((or @t180 @t261 @t264 (not @t266)))) % 33.96/34.14 (step @p591 :rule chain_m_resolution :premises (@p590 @p588 @p576 @p313 @p288 @p316 @p314 @p288 @p558 @p522 @p513 @p103 @p505 @p325 @p487 @p485 @p288 @p473 @p164 @p454 @p452 @p440 @p421) :args (@t174 (@list false true true true false false true false false false false false false false false true false false false false false true) (@list @t266 @t261 @t180 @t200 @t204 @t210 @t200 @t259 @t257 @t251 @t132 @t208 @t212 @t245 @t246 @t200 @t241 @t168 @t227 @t240 @t237 @t172))) % 33.96/34.14 (step @p592 :rule instantiate :premises (@p9) :args ((@list @t130 @t167))) % 33.96/34.14 (step @p593 :rule instantiate :premises (@p11) :args (@t248)) % 33.96/34.14 (step @p594 :rule true_intro :premises (@p593)) % 33.96/34.14 (step @p595 :rule cong :premises (@p103 @p149) :args (@t267)) % 33.96/34.14 (step @p596 :rule trans :premises (@p595 @p594)) % 33.96/34.14 (step @p597 :rule true_elim :premises (@p596)) % 33.96/34.14 (step @p598 :rule cnf_or_pos :args (@t270)) % 33.96/34.14 (step @p599 :rule reordering :premises (@p598) :args ((or @t269 @t268 (not @t270)))) % 33.96/34.14 (step @p600 :rule chain_m_resolution :premises (@p599 @p597 @p592) :args (@t268 @t142 (@list @t267 @t270))) % 33.96/34.14 (step @p601 :rule true_intro :premises (@p600)) % 33.96/34.14 (step @p602 :rule refl :args (@t130)) % 33.96/34.14 (step @p603 :rule cong :premises (@p602 @p436) :args (@t153)) % 33.96/34.14 (step @p604 :rule trans :premises (@p603 @p601)) % 33.96/34.14 (step @p605 :rule true_elim :premises (@p604)) % 33.96/34.14 (step @p606 :rule cnf_or_pos :args (@t159)) % 33.96/34.14 (step @p607 :rule reordering :premises (@p606) :args ((or @t154 @t158 @t157 (not @t159)))) % 33.96/34.14 (step @p608 :rule chain_m_resolution :premises (@p607 @p605 @p591 @p145) :args (@t157 (@list false true false) (@list @t153 @t158 @t159))) % 33.96/34.14 (step @p609 :rule instantiate :premises (@p132) :args ((@list @t136 tptp.u tptp.u))) % 33.96/34.14 (assume-push @p806 @t261) % 33.96/34.14 (assume-push @p807 @t261) % 33.96/34.14 (step @p612 :rule cong :premises (@p806) :args (@t130)) % 33.96/34.14 (step-pop @p808 :rule scope :premises (@p612)) % 33.96/34.14 (step @p613 :rule process_scope :premises (@p808) :args (@t158)) % 33.96/34.14 (step @p615 :rule modus_ponens :premises (@p806 @p613)) % 33.96/34.14 (step-pop @p809 :rule scope :premises (@p615)) % 33.96/34.14 (step @p616 :rule process_scope :premises (@p809) :args (@t158)) % 33.96/34.14 (step @p618 :rule implies_elim :premises (@p616)) % 33.96/34.14 (step @p619 :rule reordering :premises (@p618) :args ((or @t158 @t263))) % 33.96/34.14 (step @p620 :rule chain_m_resolution :premises (@p619 @p591) :args (@t263 (@list true) (@list @t158))) % 33.96/34.14 (step @p621 :rule cnf_or_pos :args (@t273)) % 33.96/34.14 (step @p622 :rule factoring :premises (@p621)) % 33.96/34.14 (step @p623 :rule reordering :premises (@p622) :args ((or @t261 @t272 (not @t273)))) % 33.96/34.14 (step @p624 :rule chain_m_resolution :premises (@p623 @p620 @p609) :args (@t272 @t188 (@list @t261 @t273))) % 33.96/34.14 (step @p625 :rule bool-double-not-elim :args (@t271)) % 33.96/34.14 (step @p626 :rule refl :args (@t274)) % 33.96/34.14 (step @p627 :rule nary_cong :premises (@p168 @p328 @p626 @p625) :args ((or @t175 @t216 @t274 (not @t272)))) % 33.96/34.14 (assume-push @p810 @t272) % 33.96/34.14 (assume-push @p811 @t132) % 33.96/34.14 (assume-push @p812 @t157) % 33.96/34.14 (assume-push @p813 @t148) % 33.96/34.14 (step @p176 :rule evaluate :args (@t178)) % 33.96/34.14 (step @p632 :rule false_intro :premises (@p810)) % 33.96/34.14 (step @p633 :rule symm :premises (@p812)) % 33.96/34.14 (step @p634 :rule trans :premises (@p633 @p103)) % 33.96/34.14 (step @p535 :rule refl :args (@t136)) % 33.96/34.14 (step @p635 :rule cong :premises (@p535 @p634) :args (@t148)) % 33.96/34.14 (step @p636 :rule true_intro :premises (@p126)) % 33.96/34.14 (step @p637 :rule symm :premises (@p636)) % 33.96/34.14 (step @p638 :rule trans :premises (@p637 @p635 @p632)) % 33.96/34.14 (step @p639 false :rule eq_resolve :premises (@p638 @p176)) % 33.96/34.14 (step-pop @p814 :rule scope :premises (@p639)) % 33.96/34.14 (step-pop @p815 :rule scope :premises (@p814)) % 33.96/34.14 (step-pop @p816 :rule scope :premises (@p815)) % 33.96/34.14 (step-pop @p817 :rule scope :premises (@p816)) % 33.96/34.14 (step @p640 :rule process_scope :premises (@p817) :args (false)) % 33.96/34.14 (assume-push @p818 @t132) % 33.96/34.14 (assume-push @p819 @t157) % 33.96/34.14 (assume-push @p820 @t148) % 33.96/34.14 (assume-push @p821 @t272) % 33.96/34.14 (step @p649 :rule and_intro :premises (@p821 @p103 @p819 @p126)) % 33.96/34.14 (step-pop @p822 :rule scope :premises (@p649)) % 33.96/34.14 (step-pop @p823 :rule scope :premises (@p822)) % 33.96/34.14 (step-pop @p824 :rule scope :premises (@p823)) % 33.96/34.14 (step-pop @p825 :rule scope :premises (@p824)) % 33.96/34.14 (step @p650 :rule process_scope :premises (@p825) :args (@t275)) % 33.96/34.14 (step @p655 :rule implies_elim :premises (@p650)) % 33.96/34.14 (step @p656 :rule resolution :premises (@p655 @p640) :args (true @t275)) % 33.96/34.14 (step @p657 :rule not_and :premises (@p656)) % 33.96/34.14 (step @p658 :rule eq_resolve :premises (@p657 @p627)) % 33.96/34.14 (step @p659 false :rule chain_m_resolution :premises (@p658 @p624 @p608 @p126 @p103) :args (false (@list true false false false) (@list @t271 @t157 @t148 @t132))) % 33.96/34.14 ) % 33.96/34.14 % SZS output end Proof % 33.96/34.15 % cvc5 exiting %------------------------------------------------------------------------------