%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET020-6 : 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 : n007.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 33.84s 34.13s % Output : Proof 33.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET020-6 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n007.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 14:40:11 EDT 2026 % 0.14/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.39/15.70 --- Run --no-e-matching --full-saturate-quant at 6... % 21.50/21.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.59/27.83 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.59/33.89 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.84/34.13 % SZS status Unsatisfiable % 33.84/34.13 % SZS output start Proof % 33.84/34.14 ( % 33.84/34.14 (declare-sort $$unsorted 0) % 33.84/34.14 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.84/34.14 (declare-const tptp.operation (-> $$unsorted Bool)) % 33.84/34.14 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.function (-> $$unsorted Bool)) % 33.84/34.14 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 33.84/34.14 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.element_relation $$unsorted) % 33.84/34.14 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.universal_class $$unsorted) % 33.84/34.14 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 33.84/34.14 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 33.84/34.14 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 33.84/34.14 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.successor_relation $$unsorted) % 33.84/34.14 (declare-const tptp.choice $$unsorted) % 33.84/34.14 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.v $$unsorted) % 33.84/34.14 (declare-const tptp.subset_relation $$unsorted) % 33.84/34.14 (declare-const tptp.null_class $$unsorted) % 33.84/34.14 (declare-const tptp.u $$unsorted) % 33.84/34.14 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.omega $$unsorted) % 33.84/34.14 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.84/34.14 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.identity_relation $$unsorted) % 33.84/34.14 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 33.84/34.14 (declare-const tptp.inductive (-> $$unsorted Bool)) % 33.84/34.14 (define @t1 () (@var "Y" $$unsorted)) % 33.84/34.14 (define @t2 () (@var "U" $$unsorted)) % 33.84/34.14 (define @t3 () (@var "X" $$unsorted)) % 33.84/34.14 (define @t4 () (tptp.member @t2 @t3)) % 33.84/34.14 (define @t5 () (not @t4)) % 33.84/34.14 (define @t6 () (tptp.subclass @t3 @t1)) % 33.84/34.14 (define @t7 () (not @t6)) % 33.84/34.14 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 33.84/34.14 (define @t9 () (@list @t3 @t1)) % 33.84/34.14 (define @t10 () (@list @t3)) % 33.84/34.14 (define @t11 () (= @t3 @t1)) % 33.84/34.14 (define @t12 () (not @t11)) % 33.84/34.14 (define @t13 () (tptp.subclass @t1 @t3)) % 33.84/34.14 (define @t14 () (tptp.unordered_pair @t3 @t1)) % 33.84/34.14 (define @t15 () (not (tptp.member @t2 @t14))) % 33.84/34.14 (define @t16 () (or @t15 (= @t2 @t3) (= @t2 @t1))) % 33.84/34.14 (define @t17 () (@list @t2 @t3 @t1)) % 33.84/34.14 (define @t18 () (forall @t17 @t16)) % 33.84/34.14 (define @t19 () (not (tptp.member @t3 tptp.universal_class))) % 33.84/34.14 (define @t20 () (not (tptp.member @t1 tptp.universal_class))) % 33.84/34.14 (define @t21 () (tptp.singleton @t3)) % 33.84/34.14 (define @t22 () (forall @t10 (= (tptp.unordered_pair @t3 @t3) @t21))) % 33.84/34.14 (define @t23 () (tptp.ordered_pair @t3 @t1)) % 33.84/34.14 (define @t24 () (tptp.singleton @t1)) % 33.84/34.14 (define @t25 () (forall @t9 (= (tptp.unordered_pair @t21 (tptp.unordered_pair @t3 @t24)) @t23))) % 33.84/34.14 (define @t26 () (tptp.cross_product @t3 @t1)) % 33.84/34.14 (define @t27 () (@var "V" $$unsorted)) % 33.84/34.14 (define @t28 () (tptp.ordered_pair @t2 @t27)) % 33.84/34.14 (define @t29 () (tptp.member @t28 @t26)) % 33.84/34.14 (define @t30 () (not @t29)) % 33.84/34.14 (define @t31 () (@list @t2 @t27 @t3 @t1)) % 33.84/34.14 (define @t32 () (tptp.member @t27 @t1)) % 33.84/34.14 (define @t33 () (@var "Z" $$unsorted)) % 33.84/34.14 (define @t34 () (tptp.ordered_pair (tptp.first @t33) (tptp.second @t33))) % 33.84/34.14 (define @t35 () (not (tptp.member @t33 @t26))) % 33.84/34.14 (define @t36 () (or @t35 (= @t34 @t33))) % 33.84/34.14 (define @t37 () (@list @t33 @t3 @t1)) % 33.84/34.14 (define @t38 () (forall @t37 @t36)) % 33.84/34.14 (define @t39 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 33.84/34.14 (define @t40 () (tptp.member @t3 @t1)) % 33.84/34.14 (define @t41 () (tptp.member @t23 tptp.element_relation)) % 33.84/34.14 (define @t42 () (not (tptp.member @t23 @t39))) % 33.84/34.14 (define @t43 () (tptp.member @t33 @t3)) % 33.84/34.14 (define @t44 () (tptp.intersection @t3 @t1)) % 33.84/34.14 (define @t45 () (tptp.member @t33 @t44)) % 33.84/34.14 (define @t46 () (not @t45)) % 33.84/34.14 (define @t47 () (tptp.member @t33 @t1)) % 33.84/34.14 (define @t48 () (not @t43)) % 33.84/34.14 (define @t49 () (tptp.complement @t3)) % 33.84/34.14 (define @t50 () (tptp.member @t33 @t49)) % 33.84/34.14 (define @t51 () (@list @t33 @t3)) % 33.84/34.14 (define @t52 () (not (tptp.member @t33 tptp.universal_class))) % 33.84/34.14 (define @t53 () (tptp.complement (tptp.intersection @t49 (tptp.complement @t1)))) % 33.84/34.14 (define @t54 () (@var "Xr" $$unsorted)) % 33.84/34.14 (define @t55 () (tptp.restrict @t54 @t3 @t1)) % 33.84/34.14 (define @t56 () (tptp.domain_of @t3)) % 33.84/34.14 (define @t57 () (tptp.member @t33 @t56)) % 33.84/34.14 (define @t58 () (= (tptp.restrict @t3 (tptp.singleton @t33) tptp.universal_class) tptp.null_class)) % 33.84/34.14 (define @t59 () (tptp.cross_product @t39 tptp.universal_class)) % 33.84/34.14 (define @t60 () (tptp.rotate @t3)) % 33.84/34.14 (define @t61 () (@var "W" $$unsorted)) % 33.84/34.14 (define @t62 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t27 @t61) @t2) @t3)) % 33.84/34.14 (define @t63 () (tptp.ordered_pair @t28 @t61)) % 33.84/34.14 (define @t64 () (tptp.member @t63 @t60)) % 33.84/34.14 (define @t65 () (@list @t2 @t27 @t61 @t3)) % 33.84/34.14 (define @t66 () (not (tptp.member @t63 @t59))) % 33.84/34.14 (define @t67 () (tptp.flip @t3)) % 33.84/34.14 (define @t68 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t27 @t2) @t61) @t3)) % 33.84/34.14 (define @t69 () (tptp.member @t63 @t67)) % 33.84/34.14 (define @t70 () (@list @t1)) % 33.84/34.14 (define @t71 () (tptp.successor @t3)) % 33.84/34.14 (define @t72 () (= @t71 @t1)) % 33.84/34.14 (define @t73 () (tptp.member @t23 tptp.successor_relation)) % 33.84/34.14 (define @t74 () (tptp.member tptp.null_class @t3)) % 33.84/34.14 (define @t75 () (tptp.inductive @t3)) % 33.84/34.14 (define @t76 () (not @t75)) % 33.84/34.14 (define @t77 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 33.84/34.14 (define @t78 () (tptp.sum_class @t3)) % 33.84/34.14 (define @t79 () (@var "Yr" $$unsorted)) % 33.84/34.14 (define @t80 () (tptp.compose @t79 @t54)) % 33.84/34.14 (define @t81 () (tptp.member @t33 (tptp.image @t79 (tptp.image @t54 @t24)))) % 33.84/34.14 (define @t82 () (tptp.ordered_pair @t1 @t33)) % 33.84/34.14 (define @t83 () (tptp.member @t82 @t80)) % 33.84/34.14 (define @t84 () (tptp.subclass (tptp.compose @t3 (tptp.inverse @t3)) tptp.identity_relation)) % 33.84/34.14 (define @t85 () (tptp.single_valued_class @t3)) % 33.84/34.14 (define @t86 () (@var "Xf" $$unsorted)) % 33.84/34.14 (define @t87 () (tptp.subclass @t86 @t39)) % 33.84/34.14 (define @t88 () (tptp.function @t86)) % 33.84/34.14 (define @t89 () (not @t88)) % 33.84/34.14 (define @t90 () (@list @t86)) % 33.84/34.14 (define @t91 () (tptp.inverse @t86)) % 33.84/34.14 (define @t92 () (tptp.subclass (tptp.compose @t86 @t91) tptp.identity_relation)) % 33.84/34.14 (define @t93 () (tptp.regular @t3)) % 33.84/34.14 (define @t94 () (= @t3 tptp.null_class)) % 33.84/34.14 (define @t95 () (tptp.one_to_one @t86)) % 33.84/34.14 (define @t96 () (not @t95)) % 33.84/34.14 (define @t97 () (tptp.function @t91)) % 33.84/34.14 (define @t98 () (tptp.inverse tptp.element_relation)) % 33.84/34.14 (define @t99 () (tptp.operation @t86)) % 33.84/34.14 (define @t100 () (not @t99)) % 33.84/34.14 (define @t101 () (tptp.domain_of @t86)) % 33.84/34.14 (define @t102 () (tptp.domain_of @t101)) % 33.84/34.14 (define @t103 () (= (tptp.cross_product @t102 @t102) @t101)) % 33.84/34.14 (define @t104 () (tptp.subclass (tptp.range_of @t86) @t102)) % 33.84/34.14 (define @t105 () (@var "Xh" $$unsorted)) % 33.84/34.14 (define @t106 () (tptp.function @t105)) % 33.84/34.14 (define @t107 () (@var "Xf2" $$unsorted)) % 33.84/34.14 (define @t108 () (@var "Xf1" $$unsorted)) % 33.84/34.14 (define @t109 () (tptp.compatible @t105 @t108 @t107)) % 33.84/34.14 (define @t110 () (not @t109)) % 33.84/34.14 (define @t111 () (@list @t105 @t108 @t107)) % 33.84/34.14 (define @t112 () (tptp.domain_of @t108)) % 33.84/34.14 (define @t113 () (= (tptp.domain_of @t112) (tptp.domain_of @t105))) % 33.84/34.14 (define @t114 () (tptp.subclass (tptp.range_of @t105) (tptp.domain_of (tptp.domain_of @t107)))) % 33.84/34.14 (define @t115 () (tptp.operation @t108)) % 33.84/34.14 (define @t116 () (tptp.homomorphism @t105 @t108 @t107)) % 33.84/34.14 (define @t117 () (not @t116)) % 33.84/34.14 (define @t118 () (tptp.operation @t107)) % 33.84/34.14 (define @t119 () (tptp.not_homomorphism2 @t105 @t108 @t107)) % 33.84/34.14 (define @t120 () (tptp.not_homomorphism1 @t105 @t108 @t107)) % 33.84/34.14 (define @t121 () (tptp.ordered_pair @t120 @t119)) % 33.84/34.14 (define @t122 () (not @t118)) % 33.84/34.14 (define @t123 () (not @t115)) % 33.84/34.14 (define @t124 () (@list @t108 @t107 @t105)) % 33.84/34.14 (define @t125 () (tptp.ordered_pair tptp.u tptp.v)) % 33.84/34.14 (define @t126 () (tptp.member @t125 @t39)) % 33.84/34.14 (define @t127 () (tptp.first @t125)) % 33.84/34.14 (define @t128 () (= @t127 tptp.u)) % 33.84/34.14 (define @t129 () (tptp.second @t125)) % 33.84/34.14 (define @t130 () (tptp.unordered_pair @t129 @t129)) % 33.84/34.14 (define @t131 () (tptp.singleton @t129)) % 33.84/34.14 (define @t132 () (= @t130 @t131)) % 33.84/34.14 (define @t133 () (= @t131 @t130)) % 33.84/34.14 (define @t134 () (@list false)) % 33.84/34.14 (define @t135 () (@list @t22)) % 33.84/34.14 (define @t136 () (tptp.unordered_pair @t127 @t131)) % 33.84/34.14 (define @t137 () (tptp.member tptp.u @t136)) % 33.84/34.14 (define @t138 () (not @t137)) % 33.84/34.14 (define @t139 () (or @t138 @t128 (= @t131 tptp.u))) % 33.84/34.14 (define @t140 () (forall @t17 (or @t15 (= @t3 @t2) (= @t1 @t2)))) % 33.84/34.14 (define @t141 () (= tptp.u @t131)) % 33.84/34.14 (define @t142 () (= tptp.u @t127)) % 33.84/34.14 (define @t143 () (or @t138 @t142 @t141)) % 33.84/34.14 (define @t144 () (@list @t140)) % 33.84/34.14 (define @t145 () (@list tptp.u tptp.u)) % 33.84/34.14 (define @t146 () (tptp.member tptp.u tptp.universal_class)) % 33.84/34.14 (define @t147 () (not @t126)) % 33.84/34.14 (define @t148 () (or @t147 @t146)) % 33.84/34.14 (define @t149 () (@list false false)) % 33.84/34.14 (define @t150 () (tptp.unordered_pair tptp.u tptp.u)) % 33.84/34.14 (define @t151 () (tptp.member tptp.u @t150)) % 33.84/34.14 (define @t152 () (not @t146)) % 33.84/34.14 (define @t153 () (or @t152 @t151)) % 33.84/34.14 (define @t154 () (tptp.singleton tptp.u)) % 33.84/34.14 (define @t155 () (tptp.singleton @t127)) % 33.84/34.14 (define @t156 () (tptp.unordered_pair @t155 @t136)) % 33.84/34.14 (define @t157 () (tptp.member @t154 @t156)) % 33.84/34.14 (define @t158 () (not @t157)) % 33.84/34.14 (define @t159 () (or @t158 (= @t155 @t154) (= @t136 @t154))) % 33.84/34.14 (define @t160 () (= @t154 @t136)) % 33.84/34.14 (define @t161 () (= @t154 @t155)) % 33.84/34.14 (define @t162 () (or @t158 @t161 @t160)) % 33.84/34.14 (define @t163 () (tptp.unordered_pair @t127 @t127)) % 33.84/34.14 (define @t164 () (tptp.member tptp.u @t163)) % 33.84/34.14 (define @t165 () (not @t164)) % 33.84/34.14 (define @t166 () (or @t165 @t128 @t128)) % 33.84/34.14 (define @t167 () (or @t165 @t142 @t142)) % 33.84/34.14 (define @t168 () (= @t163 @t155)) % 33.84/34.14 (define @t169 () (@list @t127)) % 33.84/34.14 (define @t170 () (= @t155 @t163)) % 33.84/34.14 (define @t171 () (= @t150 @t154)) % 33.84/34.14 (define @t172 () (= @t154 @t150)) % 33.84/34.14 (define @t173 () (not @t170)) % 33.84/34.14 (define @t174 () (not @t151)) % 33.84/34.14 (define @t175 () (not @t161)) % 33.84/34.14 (define @t176 () (not @t172)) % 33.84/34.14 (define @t177 () (not @t165)) % 33.84/34.14 (define @t178 () (= false true)) % 33.84/34.14 (define @t179 () (and @t151 @t172 @t161 @t170 @t165)) % 33.84/34.14 (define @t180 () (tptp.singleton tptp.v)) % 33.84/34.14 (define @t181 () (tptp.unordered_pair tptp.u @t180)) % 33.84/34.14 (define @t182 () (tptp.member @t154 tptp.universal_class)) % 33.84/34.14 (define @t183 () (tptp.unordered_pair @t154 @t181)) % 33.84/34.14 (define @t184 () (tptp.member @t154 @t183)) % 33.84/34.14 (define @t185 () (not @t182)) % 33.84/34.14 (define @t186 () (or @t185 @t184)) % 33.84/34.14 (define @t187 () (= @t183 @t125)) % 33.84/34.14 (define @t188 () (tptp.ordered_pair @t127 @t129)) % 33.84/34.14 (define @t189 () (= @t125 @t188)) % 33.84/34.14 (define @t190 () (or @t147 @t189)) % 33.84/34.14 (define @t191 () (@list false true false)) % 33.84/34.14 (define @t192 () (and @t172 @t160 @t151)) % 33.84/34.14 (define @t193 () (not @t160)) % 33.84/34.14 (define @t194 () (@list false false false)) % 33.84/34.14 (define @t195 () (@list true false false)) % 33.84/34.14 (define @t196 () (tptp.unordered_pair tptp.v tptp.v)) % 33.84/34.14 (define @t197 () (= @t196 @t180)) % 33.84/34.14 (define @t198 () (tptp.member @t180 tptp.universal_class)) % 33.84/34.14 (define @t199 () (tptp.member @t180 @t181)) % 33.84/34.14 (define @t200 () (not @t198)) % 33.84/34.14 (define @t201 () (or @t200 @t199)) % 33.84/34.14 (define @t202 () (tptp.member @t181 @t156)) % 33.84/34.14 (define @t203 () (not @t202)) % 33.84/34.14 (define @t204 () (or @t203 (= @t155 @t181) (= @t136 @t181))) % 33.84/34.14 (define @t205 () (= @t181 @t136)) % 33.84/34.14 (define @t206 () (= @t181 @t155)) % 33.84/34.14 (define @t207 () (or @t203 @t206 @t205)) % 33.84/34.14 (define @t208 () (@list tptp.u @t180)) % 33.84/34.14 (define @t209 () (tptp.member tptp.u @t181)) % 33.84/34.14 (define @t210 () (or @t152 @t209)) % 33.84/34.14 (define @t211 () (not @t206)) % 33.84/34.14 (define @t212 () (not @t209)) % 33.84/34.14 (define @t213 () (and @t165 @t170 @t206 @t209)) % 33.84/34.14 (define @t214 () (tptp.member @t181 @t183)) % 33.84/34.14 (define @t215 () (tptp.member @t181 tptp.universal_class)) % 33.84/34.14 (define @t216 () (not @t215)) % 33.84/34.14 (define @t217 () (or @t216 @t214)) % 33.84/34.14 (define @t218 () (tptp.member @t180 @t136)) % 33.84/34.14 (define @t219 () (and @t199 @t205)) % 33.84/34.14 (define @t220 () (not @t218)) % 33.84/34.14 (define @t221 () (tptp.member @t180 @t150)) % 33.84/34.14 (define @t222 () (not @t221)) % 33.84/34.14 (define @t223 () (and @t172 @t160 @t222)) % 33.84/34.14 (define @t224 () (= tptp.u @t180)) % 33.84/34.14 (define @t225 () (or @t222 @t224 @t224)) % 33.84/34.14 (define @t226 () (tptp.member @t127 @t181)) % 33.84/34.14 (define @t227 () (not @t226)) % 33.84/34.14 (define @t228 () (or @t227 @t142 (= @t180 @t127))) % 33.84/34.14 (define @t229 () (= @t127 @t180)) % 33.84/34.14 (define @t230 () (or @t227 @t142 @t229)) % 33.84/34.14 (define @t231 () (tptp.member @t188 @t39)) % 33.84/34.14 (define @t232 () (tptp.member @t127 tptp.universal_class)) % 33.84/34.14 (define @t233 () (not @t231)) % 33.84/34.14 (define @t234 () (or @t233 @t232)) % 33.84/34.14 (define @t235 () (tptp.member @t127 @t136)) % 33.84/34.14 (define @t236 () (not @t232)) % 33.84/34.14 (define @t237 () (or @t236 @t235)) % 33.84/34.14 (define @t238 () (and @t205 @t235)) % 33.84/34.14 (define @t239 () (not @t133)) % 33.84/34.14 (define @t240 () (not @t229)) % 33.84/34.14 (define @t241 () (not @t141)) % 33.84/34.14 (define @t242 () (not @t224)) % 33.84/34.14 (define @t243 () (not @t142)) % 33.84/34.14 (define @t244 () (and @t133 @t141 @t224 @t229 @t243)) % 33.84/34.14 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 33.84/34.14 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 33.84/34.14 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 33.84/34.14 (assume @p4 (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 33.84/34.14 (assume @p5 (forall @t9 (or @t12 @t6))) % 33.84/34.14 (assume @p6 (forall @t9 (or @t12 @t13))) % 33.84/34.14 (assume @p7 (forall @t9 (or @t7 (not @t13) @t11))) % 33.84/34.14 (assume @p8 @t18) % 33.84/34.14 (assume @p9 (forall @t9 (or @t19 (tptp.member @t3 @t14)))) % 33.84/34.14 (assume @p10 (forall (@list @t1 @t3) (or @t20 (tptp.member @t1 @t14)))) % 33.84/34.14 (assume @p11 (forall @t9 (tptp.member @t14 tptp.universal_class))) % 33.84/34.14 (assume @p12 @t22) % 33.84/34.14 (assume @p13 @t25) % 33.84/34.14 (assume @p14 (forall @t31 (or @t30 @t4))) % 33.84/34.14 (assume @p15 (forall @t31 (or @t30 @t32))) % 33.84/34.14 (assume @p16 (forall (@list @t2 @t3 @t27 @t1) (or @t5 (not @t32) @t29))) % 33.84/34.14 (assume @p17 @t38) % 33.84/34.14 (assume @p18 (tptp.subclass tptp.element_relation @t39)) % 33.84/34.14 (assume @p19 (forall @t9 (or (not @t41) @t40))) % 33.84/34.14 (assume @p20 (forall @t9 (or @t42 (not @t40) @t41))) % 33.84/34.14 (assume @p21 (forall @t37 (or @t46 @t43))) % 33.84/34.14 (assume @p22 (forall @t37 (or @t46 @t47))) % 33.84/34.14 (assume @p23 (forall @t37 (or @t48 (not @t47) @t45))) % 33.84/34.14 (assume @p24 (forall @t51 (or (not @t50) @t48))) % 33.84/34.14 (assume @p25 (forall @t51 (or @t52 @t50 @t43))) % 33.84/34.14 (assume @p26 (forall @t9 (= @t53 (tptp.union @t3 @t1)))) % 33.84/34.14 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t44) @t53) (tptp.symmetric_difference @t3 @t1)))) % 33.84/34.14 (assume @p28 (forall (@list @t54 @t3 @t1) (= (tptp.intersection @t54 @t26) @t55))) % 33.84/34.14 (assume @p29 (forall (@list @t3 @t1 @t54) (= (tptp.intersection @t26 @t54) @t55))) % 33.84/34.14 (assume @p30 (forall (@list @t3 @t33) (or (not @t58) (not @t57)))) % 33.84/34.14 (assume @p31 (forall @t51 (or @t52 @t58 @t57))) % 33.84/34.14 (assume @p32 (forall @t10 (tptp.subclass @t60 @t59))) % 33.84/34.14 (assume @p33 (forall @t65 (or (not @t64) @t62))) % 33.84/34.14 (assume @p34 (forall (@list @t27 @t61 @t2 @t3) (or (not @t62) @t66 @t64))) % 33.84/34.14 (assume @p35 (forall @t10 (tptp.subclass @t67 @t59))) % 33.84/34.14 (assume @p36 (forall @t65 (or (not @t69) @t68))) % 33.84/34.14 (assume @p37 (forall (@list @t27 @t2 @t61 @t3) (or (not @t68) @t66 @t69))) % 33.84/34.14 (assume @p38 (forall @t70 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 33.84/34.14 (assume @p39 (forall (@list @t33) (= (tptp.domain_of (tptp.inverse @t33)) (tptp.range_of @t33)))) % 33.84/34.14 (assume @p40 (forall @t37 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t33 @t3 @t24) tptp.null_class)) (tptp.domain @t33 @t3 @t1)))) % 33.84/34.14 (assume @p41 (forall @t37 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t33 @t21 @t1) tptp.null_class)) (tptp.range @t33 @t3 @t1)))) % 33.84/34.14 (assume @p42 (forall (@list @t54 @t3) (= (tptp.range_of (tptp.restrict @t54 @t3 tptp.universal_class)) (tptp.image @t54 @t3)))) % 33.84/34.14 (assume @p43 (forall @t10 (= (tptp.union @t3 @t21) @t71))) % 33.84/34.14 (assume @p44 (tptp.subclass tptp.successor_relation @t39)) % 33.84/34.14 (assume @p45 (forall @t9 (or (not @t73) @t72))) % 33.84/34.14 (assume @p46 (forall @t9 (or (not @t72) @t42 @t73))) % 33.84/34.14 (assume @p47 (forall @t10 (or @t76 @t74))) % 33.84/34.14 (assume @p48 (forall @t10 (or @t76 @t77))) % 33.84/34.14 (assume @p49 (forall @t10 (or (not @t74) (not @t77) @t75))) % 33.84/34.14 (assume @p50 (tptp.inductive tptp.omega)) % 33.84/34.14 (assume @p51 (forall @t70 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 33.84/34.14 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 33.84/34.14 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t78))) % 33.84/34.14 (assume @p54 (forall @t10 (or @t19 (tptp.member @t78 tptp.universal_class)))) % 33.84/34.14 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t49)) (tptp.power_class @t3)))) % 33.84/34.14 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 33.84/34.14 (assume @p57 (forall (@list @t79 @t54) (tptp.subclass @t80 @t39))) % 33.84/34.14 (assume @p58 (forall (@list @t1 @t33 @t79 @t54) (or (not @t83) @t81))) % 33.84/34.14 (assume @p59 (forall (@list @t33 @t79 @t54 @t1) (or (not @t81) (not (tptp.member @t82 @t39)) @t83))) % 33.84/34.14 (assume @p60 (forall @t10 (or (not @t85) @t84))) % 33.84/34.14 (assume @p61 (forall @t10 (or (not @t84) @t85))) % 33.84/34.14 (assume @p62 (forall @t90 (or @t89 @t87))) % 33.84/34.14 (assume @p63 (forall @t90 (or @t89 @t92))) % 33.84/34.14 (assume @p64 (forall @t90 (or (not @t87) (not @t92) @t88))) % 33.84/34.14 (assume @p65 (forall (@list @t86 @t3) (or @t89 @t19 (tptp.member (tptp.image @t86 @t3) tptp.universal_class)))) % 33.84/34.14 (assume @p66 (forall @t10 (or @t94 (tptp.member @t93 @t3)))) % 33.84/34.14 (assume @p67 (forall @t10 (or @t94 (= (tptp.intersection @t3 @t93) tptp.null_class)))) % 33.84/34.14 (assume @p68 (forall (@list @t86 @t1) (= (tptp.sum_class (tptp.image @t86 @t24)) (tptp.apply @t86 @t1)))) % 33.84/34.14 (assume @p69 (tptp.function tptp.choice)) % 33.84/34.14 (assume @p70 (forall @t70 (or @t20 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 33.84/34.14 (assume @p71 (forall @t90 (or @t96 @t88))) % 33.84/34.14 (assume @p72 (forall @t90 (or @t96 @t97))) % 33.84/34.14 (assume @p73 (forall @t90 (or (not @t97) @t89 @t95))) % 33.84/34.14 (assume @p74 (= (tptp.intersection @t39 (tptp.intersection @t39 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) @t98)))) tptp.subset_relation)) % 33.84/34.14 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 33.84/34.14 (assume @p76 (forall (@list @t54) (= (tptp.complement (tptp.domain_of (tptp.intersection @t54 tptp.identity_relation))) (tptp.diagonalise @t54)))) % 33.84/34.14 (assume @p77 (forall @t10 (= (tptp.intersection @t56 (tptp.diagonalise (tptp.compose @t98 @t3))) (tptp.cantor @t3)))) % 33.84/34.14 (assume @p78 (forall @t90 (or @t100 @t88))) % 33.84/34.14 (assume @p79 (forall @t90 (or @t100 @t103))) % 33.84/34.14 (assume @p80 (forall @t90 (or @t100 @t104))) % 33.84/34.14 (assume @p81 (forall @t90 (or @t89 (not @t103) (not @t104) @t99))) % 33.84/34.14 (assume @p82 (forall @t111 (or @t110 @t106))) % 33.84/34.14 (assume @p83 (forall @t111 (or @t110 @t113))) % 33.84/34.14 (assume @p84 (forall @t111 (or @t110 @t114))) % 33.84/34.14 (assume @p85 (forall @t111 (or (not @t106) (not @t113) (not @t114) @t109))) % 33.84/34.14 (assume @p86 (forall @t111 (or @t117 @t115))) % 33.84/34.14 (assume @p87 (forall @t111 (or @t117 @t118))) % 33.84/34.14 (assume @p88 (forall @t111 (or @t117 @t109))) % 33.84/34.14 (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)))))) % 33.84/34.14 (assume @p90 (forall @t124 (or @t123 @t122 @t110 (tptp.member @t121 @t112) @t116))) % 33.84/34.14 (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))) % 33.84/34.14 (assume @p92 @t126) % 33.84/34.14 (assume @p93 (not @t128)) % 33.84/34.14 (step @p94 :rule symm :premises (@p93)) % 33.84/34.14 (step @p95 :rule eq-symm :args (@t130 @t131)) % 33.84/34.14 (step @p96 :rule refl :args (@t22)) % 33.84/34.14 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t22 @t132))) % 33.84/34.14 (assume-push @p520 @t22) % 33.84/34.14 (step @p99 :rule instantiate :premises (@p12) :args ((@list @t129))) % 33.84/34.14 (step-pop @p521 :rule scope :premises (@p99)) % 33.84/34.14 (step @p100 :rule process_scope :premises (@p521) :args (@t132)) % 33.84/34.14 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 33.84/34.14 (step @p103 :rule implies_elim :premises (@p102)) % 33.84/34.14 (step @p104 :rule chain_m_resolution :premises (@p103 @p12) :args (@t133 @t134 @t135)) % 33.84/34.14 (step @p105 :rule eq-symm :args (@t2 @t1)) % 33.84/34.14 (step @p106 :rule eq-symm :args (@t2 @t3)) % 33.84/34.14 (step @p107 :rule refl :args (@t15)) % 33.84/34.14 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105) :args (@t16)) % 33.84/34.14 (step @p109 :rule cong :premises (@p108) :args (@t18)) % 33.84/34.14 (step @p110 :rule eq_resolve :premises (@p8 @p109)) % 33.84/34.14 (step @p111 :rule eq-symm :args (@t131 tptp.u)) % 33.84/34.14 (step @p112 :rule eq-symm :args (@t127 tptp.u)) % 33.84/34.14 (step @p113 :rule refl :args (@t138)) % 33.84/34.14 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111) :args (@t139)) % 33.84/34.14 (step @p115 :rule refl :args (@t140)) % 33.84/34.14 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t140 @t139))) % 33.84/34.14 (assume-push @p522 @t140) % 33.84/34.14 (step @p118 :rule instantiate :premises (@p110) :args ((@list tptp.u @t127 @t131))) % 33.84/34.14 (step-pop @p523 :rule scope :premises (@p118)) % 33.84/34.14 (step @p119 :rule process_scope :premises (@p523) :args (@t139)) % 33.84/34.14 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 33.84/34.14 (step @p122 :rule implies_elim :premises (@p121)) % 33.84/34.14 (step @p123 :rule chain_m_resolution :premises (@p122 @p110) :args (@t143 @t134 @t144)) % 33.84/34.14 (step @p124 :rule instantiate :premises (@p9) :args (@t145)) % 33.84/34.14 (step @p125 :rule instantiate :premises (@p14) :args ((@list tptp.u tptp.v tptp.universal_class tptp.universal_class))) % 33.84/34.14 (step @p126 :rule cnf_or_pos :args (@t148)) % 33.84/34.14 (step @p127 :rule reordering :premises (@p126) :args ((or @t147 @t146 (not @t148)))) % 33.84/34.14 (step @p128 :rule chain_m_resolution :premises (@p127 @p92 @p125) :args (@t146 @t149 (@list @t126 @t148))) % 33.84/34.14 (step @p129 :rule cnf_or_pos :args (@t153)) % 33.84/34.14 (step @p130 :rule reordering :premises (@p129) :args ((or @t152 @t151 (not @t153)))) % 33.84/34.14 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p124) :args (@t151 @t149 (@list @t146 @t153))) % 33.84/34.14 (step @p132 :rule eq-symm :args (@t136 @t154)) % 33.84/34.14 (step @p133 :rule eq-symm :args (@t155 @t154)) % 33.84/34.14 (step @p134 :rule refl :args (@t158)) % 33.84/34.14 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132) :args (@t159)) % 33.84/34.14 (step @p136 :rule cong :premises (@p115 @p135) :args ((=> @t140 @t159))) % 33.84/34.14 (assume-push @p524 @t140) % 33.84/34.14 (step @p138 :rule instantiate :premises (@p110) :args ((@list @t154 @t155 @t136))) % 33.84/34.14 (step-pop @p525 :rule scope :premises (@p138)) % 33.84/34.14 (step @p139 :rule process_scope :premises (@p525) :args (@t159)) % 33.84/34.14 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 33.84/34.14 (step @p142 :rule implies_elim :premises (@p141)) % 33.84/34.14 (step @p143 :rule chain_m_resolution :premises (@p142 @p110) :args (@t162 @t134 @t144)) % 33.84/34.14 (step @p144 :rule refl :args (@t165)) % 33.84/34.14 (step @p145 :rule nary_cong :premises (@p144 @p112 @p112) :args (@t166)) % 33.84/34.14 (step @p146 :rule cong :premises (@p115 @p145) :args ((=> @t140 @t166))) % 33.84/34.14 (assume-push @p526 @t140) % 33.84/34.14 (step @p148 :rule instantiate :premises (@p110) :args ((@list tptp.u @t127 @t127))) % 33.84/34.14 (step-pop @p527 :rule scope :premises (@p148)) % 33.84/34.14 (step @p149 :rule process_scope :premises (@p527) :args (@t166)) % 33.84/34.14 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 33.84/34.14 (step @p152 :rule implies_elim :premises (@p151)) % 33.84/34.14 (step @p153 :rule chain_m_resolution :premises (@p152 @p110) :args (@t167 @t134 @t144)) % 33.84/34.14 (step @p154 :rule cnf_or_pos :args (@t167)) % 33.84/34.14 (step @p155 :rule factoring :premises (@p154)) % 33.84/34.14 (step @p156 :rule reordering :premises (@p155) :args ((or @t142 @t165 (not @t167)))) % 33.84/34.14 (step @p157 :rule chain_m_resolution :premises (@p156 @p94 @p153) :args (@t165 (@list true false) (@list @t142 @t167))) % 33.84/34.14 (step @p158 :rule eq-symm :args (@t163 @t155)) % 33.84/34.14 (step @p159 :rule cong :premises (@p96 @p158) :args ((=> @t22 @t168))) % 33.84/34.14 (assume-push @p528 @t22) % 33.84/34.14 (step @p161 :rule instantiate :premises (@p12) :args (@t169)) % 33.84/34.14 (step-pop @p529 :rule scope :premises (@p161)) % 33.84/34.14 (step @p162 :rule process_scope :premises (@p529) :args (@t168)) % 33.84/34.14 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 33.84/34.14 (step @p165 :rule implies_elim :premises (@p164)) % 33.84/34.14 (step @p166 :rule chain_m_resolution :premises (@p165 @p12) :args (@t170 @t134 @t135)) % 33.84/34.14 (step @p167 :rule eq-symm :args (@t150 @t154)) % 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(step @p379 :rule trans :premises (@p378 @p375)) % 33.84/34.14 (step @p380 :rule true_elim :premises (@p379)) % 33.84/34.14 (step-pop @p590 :rule scope :premises (@p380)) % 33.84/34.14 (step-pop @p591 :rule scope :premises (@p590)) % 33.84/34.14 (step @p381 :rule process_scope :premises (@p591) :args (@t218)) % 33.84/34.14 (step @p384 :rule and_intro :premises (@p307 @p587)) % 33.84/34.14 (step @p385 :rule modus_ponens :premises (@p384 @p381)) % 33.84/34.14 (step-pop @p592 :rule scope :premises (@p385)) % 33.84/34.14 (step-pop @p593 :rule scope :premises (@p592)) % 33.84/34.14 (step @p386 :rule process_scope :premises (@p593) :args (@t218)) % 33.84/34.14 (step @p389 :rule implies_elim :premises (@p386)) % 33.84/34.14 (step @p390 :rule cnf_and_neg :args (@t219)) % 33.84/34.14 (step @p391 :rule resolution :premises (@p390 @p389) :args (true @t219)) % 33.84/34.14 (step @p392 :rule chain_m_resolution :premises (@p391 @p370 @p307) :args (@t218 @t149 (@list @t205 @t199))) % 33.84/34.14 (step @p393 :rule refl :args (@t220)) % 33.84/34.14 (step @p394 :rule bool-double-not-elim :args (@t221)) % 33.84/34.14 (step @p395 :rule refl :args (@t193)) % 33.84/34.14 (step @p396 :rule nary_cong :premises (@p180 @p395 @p394 @p393) :args ((or @t176 @t193 (not @t222) @t220))) % 33.84/34.14 (assume-push @p594 @t172) % 33.84/34.14 (assume-push @p595 @t160) % 33.84/34.14 (assume-push @p596 @t222) % 33.84/34.14 (assume-push @p597 @t222) % 33.84/34.14 (assume-push @p598 @t172) % 33.84/34.14 (assume-push @p599 @t160) % 33.84/34.14 (step @p403 :rule false_intro :premises (@p596)) % 33.84/34.14 (step @p404 :rule symm :premises (@p595)) % 33.84/34.14 (step @p405 :rule trans :premises (@p404 @p175)) % 33.84/34.14 (step @p377 :rule refl :args (@t180)) % 33.84/34.14 (step @p406 :rule cong :premises (@p377 @p405) :args (@t218)) % 33.84/34.14 (step @p407 :rule trans :premises (@p406 @p403)) % 33.84/34.14 (step @p408 :rule false_elim :premises (@p407)) % 33.84/34.14 (step-pop @p600 :rule scope :premises (@p408)) % 33.84/34.14 (step-pop @p601 :rule scope :premises (@p600)) % 33.84/34.14 (step-pop @p602 :rule scope :premises (@p601)) % 33.84/34.14 (step @p409 :rule process_scope :premises (@p602) :args (@t220)) % 33.84/34.14 (step @p413 :rule and_intro :premises (@p596 @p175 @p595)) % 33.84/34.14 (step @p414 :rule modus_ponens :premises (@p413 @p409)) % 33.84/34.14 (step-pop @p603 :rule scope :premises (@p414)) % 33.84/34.14 (step-pop @p604 :rule scope :premises (@p603)) % 33.84/34.14 (step-pop @p605 :rule scope :premises (@p604)) % 33.84/34.14 (step @p415 :rule process_scope :premises (@p605) :args (@t220)) % 33.84/34.14 (step @p419 :rule implies_elim :premises (@p415)) % 33.84/34.14 (step @p420 :rule cnf_and_neg :args (@t223)) % 33.84/34.14 (step @p421 :rule resolution :premises (@p420 @p419) :args (true @t223)) % 33.84/34.14 (step @p422 :rule eq_resolve :premises (@p421 @p396)) % 33.84/34.14 (step @p423 :rule chain_m_resolution :premises (@p422 @p392 @p259 @p175) :args (@t221 @t194 (@list @t218 @t160 @t172))) % 33.84/34.14 (step @p424 :rule cnf_or_pos :args (@t225)) % 33.84/34.14 (step @p425 :rule factoring :premises (@p424)) % 33.84/34.14 (step @p426 :rule reordering :premises (@p425) :args ((or @t222 @t224 (not @t225)))) % 33.84/34.14 (step @p427 :rule chain_m_resolution :premises (@p426 @p423 @p289) :args (@t224 @t149 (@list @t221 @t225))) % 33.84/34.14 (step @p428 :rule eq-symm :args (@t180 @t127)) % 33.84/34.14 (step @p429 :rule refl :args (@t142)) % 33.84/34.14 (step @p430 :rule refl :args (@t227)) % 33.84/34.14 (step @p431 :rule nary_cong :premises (@p430 @p429 @p428) :args (@t228)) % 33.84/34.14 (step @p432 :rule cong :premises (@p115 @p431) :args ((=> @t140 @t228))) % 33.84/34.14 (assume-push @p606 @t140) % 33.84/34.14 (step @p434 :rule instantiate :premises (@p110) :args ((@list @t127 tptp.u @t180))) % 33.84/34.14 (step-pop @p607 :rule scope :premises (@p434)) % 33.84/34.14 (step @p435 :rule process_scope :premises (@p607) :args (@t228)) % 33.84/34.14 (step @p437 :rule eq_resolve :premises (@p435 @p432)) % 33.84/34.14 (step @p438 :rule implies_elim :premises (@p437)) % 33.84/34.14 (step @p439 :rule chain_m_resolution :premises (@p438 @p110) :args (@t230 @t134 @t144)) % 33.84/34.14 (step @p440 :rule instantiate :premises (@p9) :args ((@list @t127 @t131))) % 33.84/34.14 (step @p441 :rule instantiate :premises (@p14) :args ((@list @t127 @t129 tptp.universal_class tptp.universal_class))) % 33.84/34.14 (step @p442 :rule true_intro :premises (@p92)) % 33.84/34.14 (step @p443 :rule refl :args (@t39)) % 33.84/34.14 (step @p444 :rule cong :premises (@p250 @p443) :args (@t231)) % 33.84/34.14 (step @p445 :rule trans :premises (@p444 @p442)) % 33.84/34.14 (step @p446 :rule true_elim :premises (@p445)) % 33.84/34.14 (step @p447 :rule cnf_or_pos :args (@t234)) % 33.84/34.14 (step @p448 :rule reordering :premises (@p447) :args ((or @t233 @t232 (not @t234)))) % 33.84/34.14 (step @p449 :rule chain_m_resolution :premises (@p448 @p446 @p441) :args (@t232 @t149 (@list @t231 @t234))) % 33.84/34.14 (step @p450 :rule cnf_or_pos :args (@t237)) % 33.84/34.14 (step @p451 :rule reordering :premises (@p450) :args ((or @t236 @t235 (not @t237)))) % 33.84/34.14 (step @p452 :rule chain_m_resolution :premises (@p451 @p449 @p440) :args (@t235 @t149 (@list @t232 @t237))) % 33.84/34.14 (assume-push @p608 @t205) % 33.84/34.14 (assume-push @p609 @t235) % 33.84/34.14 (assume-push @p610 @t235) % 33.84/34.14 (assume-push @p611 @t205) % 33.84/34.14 (step @p457 :rule true_intro :premises (@p452)) % 33.84/34.14 (step @p458 :rule refl :args (@t127)) % 33.84/34.14 (step @p459 :rule cong :premises (@p458 @p608) :args (@t226)) % 33.84/34.14 (step @p460 :rule trans :premises (@p459 @p457)) % 33.84/34.14 (step @p461 :rule true_elim :premises (@p460)) % 33.84/34.14 (step-pop @p612 :rule scope :premises (@p461)) % 33.84/34.14 (step-pop @p613 :rule scope :premises (@p612)) % 33.84/34.14 (step @p462 :rule process_scope :premises (@p613) :args (@t226)) % 33.84/34.14 (step @p465 :rule and_intro :premises (@p452 @p608)) % 33.84/34.14 (step @p466 :rule modus_ponens :premises (@p465 @p462)) % 33.84/34.14 (step-pop @p614 :rule scope :premises (@p466)) % 33.84/34.14 (step-pop @p615 :rule scope :premises (@p614)) % 33.84/34.14 (step @p467 :rule process_scope :premises (@p615) :args (@t226)) % 33.84/34.14 (step @p470 :rule implies_elim :premises (@p467)) % 33.84/34.14 (step @p471 :rule cnf_and_neg :args (@t238)) % 33.84/34.14 (step @p472 :rule resolution :premises (@p471 @p470) :args (true @t238)) % 33.84/34.14 (step @p473 :rule chain_m_resolution :premises (@p472 @p370 @p452) :args (@t226 @t149 (@list @t205 @t235))) % 33.84/34.14 (step @p474 :rule cnf_or_pos :args (@t230)) % 33.84/34.14 (step @p475 :rule reordering :premises (@p474) :args ((or @t142 @t229 @t227 (not @t230)))) % 33.84/34.14 (step @p476 :rule chain_m_resolution :premises (@p475 @p94 @p473 @p439) :args (@t229 @t195 (@list @t142 @t226 @t230))) % 33.84/34.14 (step @p477 :rule refl :args (@t239)) % 33.84/34.14 (step @p478 :rule refl :args (@t240)) % 33.84/34.14 (step @p479 :rule refl :args (@t241)) % 33.84/34.14 (step @p480 :rule refl :args (@t242)) % 33.84/34.14 (step @p481 :rule bool-double-not-elim :args (@t142)) % 33.84/34.14 (step @p482 :rule nary_cong :premises (@p481 @p480 @p479 @p478 @p477) :args ((or (not @t243) @t242 @t241 @t240 @t239))) % 33.84/34.14 (assume-push @p616 @t133) % 33.84/34.14 (assume-push @p617 @t141) % 33.84/34.14 (assume-push @p618 @t224) % 33.84/34.14 (assume-push @p619 @t229) % 33.84/34.14 (assume-push @p620 @t243) % 33.84/34.14 (step @p187 :rule evaluate :args (@t178)) % 33.84/34.14 (step @p488 :rule symm :premises (@p618)) % 33.84/34.14 (step @p489 :rule trans :premises (@p619 @p488 @p617 @p104)) % 33.84/34.14 (step @p490 :rule symm :premises (@p489)) % 33.84/34.14 (step @p491 :rule trans :premises (@p617 @p104 @p490)) % 33.84/34.14 (step @p492 :rule true_intro :premises (@p491)) % 33.84/34.14 (step @p493 :rule false_intro :premises (@p94)) % 33.84/34.14 (step @p494 :rule symm :premises (@p493)) % 33.84/34.14 (step @p495 :rule trans :premises (@p494 @p492)) % 33.84/34.14 (step @p496 false :rule eq_resolve :premises (@p495 @p187)) % 33.84/34.14 (step-pop @p621 :rule scope :premises (@p496)) % 33.84/34.14 (step-pop @p622 :rule scope :premises (@p621)) % 33.84/34.14 (step-pop @p623 :rule scope :premises (@p622)) % 33.84/34.14 (step-pop @p624 :rule scope :premises (@p623)) % 33.84/34.14 (step-pop @p625 :rule scope :premises (@p624)) % 33.84/34.14 (step @p497 :rule process_scope :premises (@p625) :args (false)) % 33.84/34.14 (assume-push @p626 @t243) % 33.84/34.14 (assume-push @p627 @t224) % 33.84/34.14 (assume-push @p628 @t141) % 33.84/34.14 (assume-push @p629 @t229) % 33.84/34.14 (assume-push @p630 @t133) % 33.84/34.14 (step @p508 :rule and_intro :premises (@p104 @p628 @p627 @p629 @p94)) % 33.84/34.14 (step-pop @p631 :rule scope :premises (@p508)) % 33.84/34.14 (step-pop @p632 :rule scope :premises (@p631)) % 33.84/34.14 (step-pop @p633 :rule scope :premises (@p632)) % 33.84/34.14 (step-pop @p634 :rule scope :premises (@p633)) % 33.84/34.14 (step-pop @p635 :rule scope :premises (@p634)) % 33.84/34.14 (step @p509 :rule process_scope :premises (@p635) :args (@t244)) % 33.84/34.14 (step @p515 :rule implies_elim :premises (@p509)) % 33.84/34.14 (step @p516 :rule resolution :premises (@p515 @p497) :args (true @t244)) % 33.84/34.14 (step @p517 :rule not_and :premises (@p516)) % 33.84/34.14 (step @p518 :rule eq_resolve :premises (@p517 @p482)) % 33.84/34.14 (step @p519 false :rule chain_m_resolution :premises (@p518 @p476 @p427 @p288 @p104 @p94) :args (false (@list false false false false true) (@list @t229 @t224 @t141 @t133 @t142))) % 33.84/34.14 ) % 33.84/34.14 % SZS output end Proof % 33.70/34.15 % cvc5 exiting %------------------------------------------------------------------------------