%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU225+3 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:51:02 AM UTC 2026 % Result : Theorem 18.11s 18.34s % Output : Proof 18.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU225+3 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:42:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 18.11/18.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 18.11/18.34 --- Run --no-e-matching --full-saturate-quant at 6... % 18.11/18.34 % SZS status Theorem % 18.11/18.34 % SZS output start Proof % 18.11/18.34 ( % 18.11/18.34 (declare-sort $$unsorted 0) % 18.11/18.34 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 18.11/18.34 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 18.11/18.34 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 18.11/18.34 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 18.11/18.34 (declare-const tptp.relation (-> $$unsorted Bool)) % 18.11/18.34 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 18.11/18.34 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 18.11/18.34 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 18.11/18.34 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 18.11/18.34 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 18.11/18.34 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 18.11/18.34 (declare-const tptp.empty_set $$unsorted) % 18.11/18.34 (declare-const tptp.function (-> $$unsorted Bool)) % 18.11/18.34 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 18.11/18.34 (declare-const tptp.empty (-> $$unsorted Bool)) % 18.11/18.34 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 18.11/18.34 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 18.11/18.34 (define @t1 () (@var "A" $$unsorted)) % 18.11/18.34 (define @t2 () (@var "B" $$unsorted)) % 18.11/18.34 (define @t3 () (tptp.in @t2 @t1)) % 18.11/18.34 (define @t4 () (not @t3)) % 18.11/18.34 (define @t5 () (tptp.in @t1 @t2)) % 18.11/18.34 (define @t6 () (@list @t1 @t2)) % 18.11/18.34 (define @t7 () (tptp.function @t1)) % 18.11/18.34 (define @t8 () (tptp.empty @t1)) % 18.11/18.34 (define @t9 () (@list @t1)) % 18.11/18.34 (define @t10 () (tptp.relation @t1)) % 18.11/18.34 (define @t11 () (and @t10 @t7 (tptp.one_to_one @t1))) % 18.11/18.34 (define @t12 () (and @t10 @t8 @t7)) % 18.11/18.34 (define @t13 () (tptp.unordered_pair @t1 @t2)) % 18.11/18.34 (define @t14 () (tptp.set_intersection2 @t1 @t2)) % 18.11/18.34 (define @t15 () (@var "C" $$unsorted)) % 18.11/18.34 (define @t16 () (= @t15 (tptp.apply @t1 @t2))) % 18.11/18.34 (define @t17 () (= @t16 (= @t15 tptp.empty_set))) % 18.11/18.34 (define @t18 () (tptp.relation_dom @t1)) % 18.11/18.34 (define @t19 () (tptp.in @t2 @t18)) % 18.11/18.34 (define @t20 () (not @t19)) % 18.11/18.34 (define @t21 () (=> @t20 @t17)) % 18.11/18.34 (define @t22 () (= @t16 (tptp.in (tptp.ordered_pair @t2 @t15) @t1))) % 18.11/18.34 (define @t23 () (=> @t19 @t22)) % 18.11/18.34 (define @t24 () (and @t23 @t21)) % 18.11/18.34 (define @t25 () (@list @t2 @t15)) % 18.11/18.34 (define @t26 () (forall @t25 @t24)) % 18.11/18.34 (define @t27 () (and @t10 @t7)) % 18.11/18.34 (define @t28 () (=> @t27 @t26)) % 18.11/18.34 (define @t29 () (forall @t9 @t28)) % 18.11/18.34 (define @t30 () (tptp.singleton @t1)) % 18.11/18.34 (define @t31 () (tptp.ordered_pair @t1 @t2)) % 18.11/18.34 (define @t32 () (tptp.relation_dom_restriction @t1 @t2)) % 18.11/18.34 (define @t33 () (tptp.relation @t32)) % 18.11/18.34 (define @t34 () (forall @t6 (=> @t10 @t33))) % 18.11/18.34 (define @t35 () (@list @t2)) % 18.11/18.34 (define @t36 () (tptp.relation tptp.empty_set)) % 18.11/18.34 (define @t37 () (tptp.empty tptp.empty_set)) % 18.11/18.34 (define @t38 () (and @t10 (tptp.relation_empty_yielding @t1))) % 18.11/18.34 (define @t39 () (tptp.relation @t2)) % 18.11/18.34 (define @t40 () (tptp.powerset @t1)) % 18.11/18.34 (define @t41 () (and @t33 (tptp.function @t32))) % 18.11/18.34 (define @t42 () (forall @t6 (=> @t27 @t41))) % 18.11/18.34 (define @t43 () (tptp.empty @t18)) % 18.11/18.34 (define @t44 () (not @t8)) % 18.11/18.34 (define @t45 () (and @t44 @t10)) % 18.11/18.34 (define @t46 () (tptp.relation_dom @t15)) % 18.11/18.34 (define @t47 () (tptp.relation_dom_restriction @t15 @t1)) % 18.11/18.34 (define @t48 () (= (tptp.in @t2 (tptp.relation_dom @t47)) (and (tptp.in @t2 @t46) @t3))) % 18.11/18.34 (define @t49 () (tptp.function @t15)) % 18.11/18.34 (define @t50 () (tptp.relation @t15)) % 18.11/18.34 (define @t51 () (and @t50 @t49)) % 18.11/18.34 (define @t52 () (@list @t1 @t2 @t15)) % 18.11/18.34 (define @t53 () (forall @t52 (=> @t51 @t48))) % 18.11/18.34 (define @t54 () (tptp.empty @t2)) % 18.11/18.34 (define @t55 () (tptp.element @t2 @t40)) % 18.11/18.34 (define @t56 () (tptp.element @t1 @t2)) % 18.11/18.34 (define @t57 () (tptp.element @t2 (tptp.powerset @t15))) % 18.11/18.34 (define @t58 () (@var "D" $$unsorted)) % 18.11/18.34 (define @t59 () (tptp.apply @t2 @t58)) % 18.11/18.34 (define @t60 () (= @t59 (tptp.apply @t15 @t58))) % 18.11/18.34 (define @t61 () (tptp.relation_dom @t2)) % 18.11/18.34 (define @t62 () (tptp.in @t58 @t61)) % 18.11/18.34 (define @t63 () (@list @t58)) % 18.11/18.34 (define @t64 () (forall @t63 (=> @t62 @t60))) % 18.11/18.34 (define @t65 () (= @t61 (tptp.set_intersection2 @t46 @t1))) % 18.11/18.34 (define @t66 () (and @t65 @t64)) % 18.11/18.34 (define @t67 () (= @t2 @t47)) % 18.11/18.34 (define @t68 () (= @t67 @t66)) % 18.11/18.34 (define @t69 () (=> @t51 @t68)) % 18.11/18.34 (define @t70 () (@list @t15)) % 18.11/18.34 (define @t71 () (forall @t70 @t69)) % 18.11/18.34 (define @t72 () (tptp.function @t2)) % 18.11/18.34 (define @t73 () (and @t39 @t72)) % 18.11/18.34 (define @t74 () (=> @t73 @t71)) % 18.11/18.34 (define @t75 () (forall @t6 @t74)) % 18.11/18.34 (define @t76 () (= (tptp.apply @t47 @t2) (tptp.apply @t15 @t2))) % 18.11/18.34 (define @t77 () (=> @t3 @t76)) % 18.11/18.34 (define @t78 () (forall @t52 (=> @t51 @t77))) % 18.11/18.34 (define @t79 () (not @t78)) % 18.11/18.34 (define @t80 () (not @t49)) % 18.11/18.34 (define @t81 () (not @t50)) % 18.11/18.34 (define @t82 () (or @t81 @t80 @t4 @t76)) % 18.11/18.34 (define @t83 () (or @t81 @t80)) % 18.11/18.34 (define @t84 () (not @t51)) % 18.11/18.34 (define @t85 () (forall @t52 @t82)) % 18.11/18.34 (define @t86 () (@quantifiers_skolemize @t85 2)) % 18.11/18.34 (define @t87 () (tptp.relation @t86)) % 18.11/18.34 (define @t88 () (@quantifiers_skolemize @t85 1)) % 18.11/18.34 (define @t89 () (tptp.apply @t86 @t88)) % 18.11/18.34 (define @t90 () (@quantifiers_skolemize @t85 0)) % 18.11/18.34 (define @t91 () (tptp.relation_dom_restriction @t86 @t90)) % 18.11/18.34 (define @t92 () (tptp.apply @t91 @t88)) % 18.11/18.34 (define @t93 () (= @t92 @t89)) % 18.11/18.34 (define @t94 () (tptp.in @t88 @t90)) % 18.11/18.34 (define @t95 () (not @t94)) % 18.11/18.34 (define @t96 () (tptp.function @t86)) % 18.11/18.34 (define @t97 () (not @t96)) % 18.11/18.34 (define @t98 () (not @t87)) % 18.11/18.34 (define @t99 () (or @t98 @t97 @t95 @t93)) % 18.11/18.34 (define @t100 () (@list true)) % 18.11/18.34 (define @t101 () (@list @t99)) % 18.11/18.34 (define @t102 () (@var "BOUND_VARIABLE_7705" $$unsorted)) % 18.11/18.34 (define @t103 () (@var "BOUND_VARIABLE_7703" $$unsorted)) % 18.11/18.34 (define @t104 () (or (tptp.in @t103 @t18) (= (= @t102 (tptp.apply @t1 @t103)) (= tptp.empty_set @t102)))) % 18.11/18.34 (define @t105 () (@var "BOUND_VARIABLE_7693" $$unsorted)) % 18.11/18.34 (define @t106 () (@var "BOUND_VARIABLE_7691" $$unsorted)) % 18.11/18.34 (define @t107 () (or (not (tptp.in @t106 @t18)) (= (= @t105 (tptp.apply @t1 @t106)) (tptp.in (tptp.ordered_pair @t106 @t105) @t1)))) % 18.11/18.34 (define @t108 () (and @t107 @t104)) % 18.11/18.34 (define @t109 () (not @t7)) % 18.11/18.34 (define @t110 () (not @t10)) % 18.11/18.34 (define @t111 () (or @t110 @t109 @t108)) % 18.11/18.34 (define @t112 () (forall (@list @t1 @t106 @t105 @t103 @t102) @t111)) % 18.11/18.34 (define @t113 () (@list @t106 @t105 @t103 @t102)) % 18.11/18.34 (define @t114 () (forall @t113 @t111)) % 18.11/18.34 (define @t115 () (forall (@list @t103 @t102) @t104)) % 18.11/18.34 (define @t116 () (@var "BOUND_VARIABLE_7674" $$unsorted)) % 18.11/18.34 (define @t117 () (@var "BOUND_VARIABLE_7672" $$unsorted)) % 18.11/18.34 (define @t118 () (@list @t117 @t116)) % 18.11/18.34 (define @t119 () (forall @t113 @t104)) % 18.11/18.34 (define @t120 () (forall (@list @t106 @t105) @t107)) % 18.11/18.34 (define @t121 () (@var "BOUND_VARIABLE_7660" $$unsorted)) % 18.11/18.34 (define @t122 () (@var "BOUND_VARIABLE_7658" $$unsorted)) % 18.11/18.34 (define @t123 () (@list @t122 @t121)) % 18.11/18.34 (define @t124 () (forall @t113 @t107)) % 18.11/18.34 (define @t125 () (and @t124 @t119)) % 18.11/18.34 (define @t126 () (forall @t113 @t108)) % 18.11/18.34 (define @t127 () (or @t110 @t109 @t126)) % 18.11/18.34 (define @t128 () (and (forall (@list @t122 @t121) (or (not (tptp.in @t122 @t18)) (= (= @t121 (tptp.apply @t1 @t122)) (tptp.in (tptp.ordered_pair @t122 @t121) @t1)))) (forall (@list @t117 @t116) (or (tptp.in @t117 @t18) (= (= @t116 (tptp.apply @t1 @t117)) (= tptp.empty_set @t116)))))) % 18.11/18.34 (define @t129 () (or @t110 @t109 @t128)) % 18.11/18.34 (define @t130 () (or @t110 @t109)) % 18.11/18.34 (define @t131 () (not @t27)) % 18.11/18.34 (define @t132 () (= @t16 (= tptp.empty_set @t15))) % 18.11/18.34 (define @t133 () (or @t19 @t132)) % 18.11/18.34 (define @t134 () (forall @t25 @t133)) % 18.11/18.34 (define @t135 () (@list @t2 @t15)) % 18.11/18.34 (define @t136 () (or @t20 @t22)) % 18.11/18.34 (define @t137 () (forall @t25 @t136)) % 18.11/18.34 (define @t138 () (and @t137 @t134)) % 18.11/18.34 (define @t139 () (and @t23 (=> @t20 @t132))) % 18.11/18.34 (define @t140 () (= tptp.empty_set @t89)) % 18.11/18.34 (define @t141 () (= @t89 @t89)) % 18.11/18.34 (define @t142 () (tptp.relation_dom @t86)) % 18.11/18.34 (define @t143 () (tptp.in @t88 @t142)) % 18.11/18.34 (define @t144 () (or @t143 (= @t141 @t140))) % 18.11/18.34 (define @t145 () (tptp.ordered_pair tptp.empty_set tptp.empty_set)) % 18.11/18.34 (define @t146 () (or (not (tptp.in tptp.empty_set @t142)) (= (= tptp.empty_set (tptp.apply @t86 tptp.empty_set)) (tptp.in @t145 @t86)))) % 18.11/18.34 (define @t147 () (and @t146 @t144)) % 18.11/18.34 (define @t148 () (or @t98 @t97 @t147)) % 18.11/18.34 (define @t149 () (or @t143 @t140)) % 18.11/18.34 (define @t150 () (and @t146 @t149)) % 18.11/18.34 (define @t151 () (or @t98 @t97 @t150)) % 18.11/18.34 (define @t152 () (@list false)) % 18.11/18.34 (define @t153 () (@list @t112)) % 18.11/18.34 (define @t154 () (and @t143 @t94)) % 18.11/18.34 (define @t155 () (tptp.relation_dom @t91)) % 18.11/18.34 (define @t156 () (tptp.in @t88 @t155)) % 18.11/18.34 (define @t157 () (= @t156 @t154)) % 18.11/18.34 (define @t158 () (or @t98 @t97 @t157)) % 18.11/18.34 (define @t159 () (@list false false false)) % 18.11/18.34 (define @t160 () (@var "BOUND_VARIABLE_7862" $$unsorted)) % 18.11/18.34 (define @t161 () (not @t62)) % 18.11/18.34 (define @t162 () (= (= @t2 (tptp.relation_dom_restriction @t160 @t1)) (and (= @t61 (tptp.set_intersection2 (tptp.relation_dom @t160) @t1)) (forall @t63 (or @t161 (= @t59 (tptp.apply @t160 @t58))))))) % 18.11/18.34 (define @t163 () (not (tptp.function @t160))) % 18.11/18.34 (define @t164 () (not (tptp.relation @t160))) % 18.11/18.34 (define @t165 () (not @t72)) % 18.11/18.34 (define @t166 () (not @t39)) % 18.11/18.34 (define @t167 () (or @t166 @t165 @t164 @t163 @t162)) % 18.11/18.34 (define @t168 () (or @t164 @t163 @t162)) % 18.11/18.34 (define @t169 () (or @t166 @t165 @t168)) % 18.11/18.34 (define @t170 () (@list @t1 @t2 @t160)) % 18.11/18.34 (define @t171 () (forall @t170 @t169)) % 18.11/18.34 (define @t172 () (@list @t160)) % 18.11/18.34 (define @t173 () (forall @t172 @t169)) % 18.11/18.34 (define @t174 () (forall @t172 @t168)) % 18.11/18.34 (define @t175 () (or @t166 @t165 @t174)) % 18.11/18.34 (define @t176 () (= @t67 (and @t65 (forall @t63 (or @t161 @t60))))) % 18.11/18.34 (define @t177 () (or @t81 @t80 @t176)) % 18.11/18.34 (define @t178 () (forall @t70 @t177)) % 18.11/18.34 (define @t179 () (or @t166 @t165 @t178)) % 18.11/18.34 (define @t180 () (tptp.apply @t91 @t58)) % 18.11/18.34 (define @t181 () (tptp.apply @t86 @t58)) % 18.11/18.34 (define @t182 () (not (tptp.in @t58 @t155))) % 18.11/18.34 (define @t183 () (forall @t63 (or @t182 (= @t181 @t180)))) % 18.11/18.34 (define @t184 () (= @t155 (tptp.set_intersection2 @t142 @t90))) % 18.11/18.34 (define @t185 () (and @t184 @t183)) % 18.11/18.34 (define @t186 () (or @t182 (= @t180 @t181))) % 18.11/18.34 (define @t187 () (forall @t63 @t186)) % 18.11/18.34 (define @t188 () (and @t184 @t187)) % 18.11/18.34 (define @t189 () (= (= @t91 @t91) @t188)) % 18.11/18.34 (define @t190 () (tptp.function @t91)) % 18.11/18.34 (define @t191 () (not @t190)) % 18.11/18.34 (define @t192 () (tptp.relation @t91)) % 18.11/18.34 (define @t193 () (not @t192)) % 18.11/18.34 (define @t194 () (or @t193 @t191 @t98 @t97 @t189)) % 18.11/18.34 (define @t195 () (forall @t170 @t167)) % 18.11/18.34 (define @t196 () (or @t193 @t191 @t98 @t97 @t185)) % 18.11/18.34 (define @t197 () (@list @t86 @t90)) % 18.11/18.34 (define @t198 () (or @t98 @t192)) % 18.11/18.34 (define @t199 () (and @t192 @t190)) % 18.11/18.34 (define @t200 () (or @t98 @t97 @t199)) % 18.11/18.34 (define @t201 () (not @t156)) % 18.11/18.34 (define @t202 () (or @t201 (= @t89 @t92))) % 18.11/18.34 (define @t203 () (or @t201 @t93)) % 18.11/18.34 (define @t204 () (@list true false)) % 18.11/18.34 (define @t205 () (not @t154)) % 18.11/18.34 (define @t206 () (not @t143)) % 18.11/18.34 (define @t207 () (= tptp.empty_set @t92)) % 18.11/18.34 (define @t208 () (= @t92 @t92)) % 18.11/18.34 (define @t209 () (or @t156 (= @t208 @t207))) % 18.11/18.34 (define @t210 () (or (not (tptp.in tptp.empty_set @t155)) (= (= tptp.empty_set (tptp.apply @t91 tptp.empty_set)) (tptp.in @t145 @t91)))) % 18.11/18.34 (define @t211 () (and @t210 @t209)) % 18.11/18.34 (define @t212 () (or @t193 @t191 @t211)) % 18.11/18.34 (define @t213 () (or @t156 @t207)) % 18.11/18.34 (define @t214 () (and @t210 @t213)) % 18.11/18.34 (define @t215 () (or @t193 @t191 @t214)) % 18.11/18.34 (define @t216 () (not @t149)) % 18.11/18.34 (define @t217 () (not @t150)) % 18.11/18.34 (assume @p1 (forall @t6 (=> @t5 @t4))) % 18.11/18.34 (assume @p2 (forall @t9 (=> @t8 @t7))) % 18.11/18.34 (assume @p3 (forall @t9 (=> @t8 @t10))) % 18.11/18.34 (assume @p4 (forall @t9 (=> @t12 @t11))) % 18.11/18.34 (assume @p5 (forall @t6 (= @t13 (tptp.unordered_pair @t2 @t1)))) % 18.11/18.34 (assume @p6 (forall @t6 (= @t14 (tptp.set_intersection2 @t2 @t1)))) % 18.11/18.34 (assume @p7 @t29) % 18.11/18.34 (assume @p8 (forall @t6 (= @t31 (tptp.unordered_pair @t13 @t30)))) % 18.11/18.34 (assume @p9 @t34) % 18.11/18.34 (assume @p10 (forall @t9 (exists @t35 (tptp.element @t2 @t1)))) % 18.11/18.34 (assume @p11 (and @t37 @t36 (tptp.relation_empty_yielding tptp.empty_set))) % 18.11/18.34 (assume @p12 (forall @t6 (=> @t38 (and @t33 (tptp.relation_empty_yielding @t32))))) % 18.11/18.34 (assume @p13 (forall @t6 (=> (and @t10 @t39) (tptp.relation @t14)))) % 18.11/18.34 (assume @p14 (forall @t9 (not (tptp.empty @t40)))) % 18.11/18.34 (assume @p15 @t37) % 18.11/18.34 (assume @p16 (forall @t6 (not (tptp.empty @t31)))) % 18.11/18.34 (assume @p17 (forall @t9 (not (tptp.empty @t30)))) % 18.11/18.34 (assume @p18 (forall @t6 (not (tptp.empty @t13)))) % 18.11/18.34 (assume @p19 @t42) % 18.11/18.34 (assume @p20 (and @t37 @t36)) % 18.11/18.34 (assume @p21 (forall @t9 (=> @t45 (not @t43)))) % 18.11/18.34 (assume @p22 (forall @t9 (=> @t8 (and @t43 (tptp.relation @t18))))) % 18.11/18.34 (assume @p23 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 18.11/18.34 (assume @p24 @t53) % 18.11/18.34 (assume @p25 (exists @t9 @t27)) % 18.11/18.34 (assume @p26 (exists @t9 (and @t8 @t10))) % 18.11/18.34 (assume @p27 (forall @t9 (=> @t44 (exists @t35 (and @t55 (not @t54)))))) % 18.11/18.34 (assume @p28 (exists @t9 @t8)) % 18.11/18.34 (assume @p29 (exists @t9 @t12)) % 18.11/18.34 (assume @p30 (exists @t9 @t45)) % 18.11/18.34 (assume @p31 (forall @t9 (exists @t35 (and @t55 @t54)))) % 18.11/18.34 (assume @p32 (exists @t9 @t44)) % 18.11/18.34 (assume @p33 (exists @t9 @t11)) % 18.11/18.34 (assume @p34 (exists @t9 @t38)) % 18.11/18.34 (assume @p35 (forall @t6 (tptp.subset @t1 @t1))) % 18.11/18.34 (assume @p36 (forall @t6 (=> @t5 @t56))) % 18.11/18.34 (assume @p37 (forall @t9 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 18.11/18.34 (assume @p38 (forall @t6 (=> @t56 (or @t54 @t5)))) % 18.11/18.34 (assume @p39 (forall @t6 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 18.11/18.34 (assume @p40 (forall @t52 (=> (and @t5 @t57) (tptp.element @t1 @t15)))) % 18.11/18.34 (assume @p41 (forall @t52 (not (and @t5 @t57 (tptp.empty @t15))))) % 18.11/18.34 (assume @p42 @t75) % 18.11/18.34 (assume @p43 (forall @t9 (=> @t8 (= @t1 tptp.empty_set)))) % 18.11/18.34 (assume @p44 @t79) % 18.11/18.34 (assume @p45 (forall @t6 (not (and @t5 @t54)))) % 18.11/18.34 (assume @p46 (forall @t6 (not (and @t8 (not (= @t1 @t2)) @t54)))) % 18.11/18.34 (assume @p47 true) % 18.11/18.34 (step @p48 :rule aci_norm :args ((= (or @t83 (or @t4 @t76)) @t82))) % 18.11/18.34 (step @p49 :rule bool-impl-elim :args (@t3 @t76)) % 18.11/18.34 (step @p50 :rule bool-and-de-morgan :args (@t50 @t49 true)) % 18.11/18.34 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t84 @t77))) % 18.11/18.34 (step @p52 :rule trans :premises (@p51 @p48)) % 18.11/18.34 (step @p53 :rule bool-impl-elim :args (@t51 @t77)) % 18.11/18.34 (step @p54 :rule trans :premises (@p53 @p52)) % 18.11/18.34 (step @p55 :rule cong :premises (@p54) :args (@t78)) % 18.11/18.34 (step @p56 :rule cong :premises (@p55) :args (@t79)) % 18.11/18.34 (step @p57 :rule eq_resolve :premises (@p44 @p56)) % 18.11/18.34 (step @p58 :rule skolemize :premises (@p57)) % 18.11/18.34 (step @p59 :rule bool-double-not-elim :args (@t87)) % 18.11/18.34 (step @p60 :rule refl :args (@t99)) % 18.11/18.34 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t99 (not @t98)))) % 18.11/18.34 (step @p62 :rule cnf_or_neg :args (@t99 0)) % 18.11/18.34 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 18.11/18.34 (step @p64 :rule reordering :premises (@p63) :args ((or @t87 @t99))) % 18.11/18.34 (step @p65 :rule chain_m_resolution :premises (@p64 @p58) :args (@t87 @t100 @t101)) % 18.11/18.34 (step @p66 :rule bool-double-not-elim :args (@t96)) % 18.11/18.34 (step @p67 :rule nary_cong :premises (@p60 @p66) :args ((or @t99 (not @t97)))) % 18.11/18.34 (step @p68 :rule cnf_or_neg :args (@t99 1)) % 18.11/18.34 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 18.11/18.34 (step @p70 :rule reordering :premises (@p69) :args ((or @t96 @t99))) % 18.11/18.34 (step @p71 :rule chain_m_resolution :premises (@p70 @p58) :args (@t96 @t100 @t101)) % 18.11/18.34 (step @p72 :rule quant-merge-prenex :args ((= (forall @t9 @t114) @t112))) % 18.11/18.34 (step @p73 :rule alpha_equiv :args (@t115 (@list @t103 @t102) @t118)) % 18.11/18.34 (step @p74 :rule quant-unused-vars :args ((= @t119 @t115))) % 18.11/18.34 (step @p75 :rule trans :premises (@p74 @p73)) % 18.11/18.34 (step @p76 :rule alpha_equiv :args (@t120 (@list @t106 @t105) @t123)) % 18.11/18.34 (step @p77 :rule quant-unused-vars :args ((= @t124 @t120))) % 18.11/18.34 (step @p78 :rule trans :premises (@p77 @p76)) % 18.11/18.34 (step @p79 :rule nary_cong :premises (@p78 @p75) :args (@t125)) % 18.11/18.34 (step @p80 :rule quant-miniscope-and :args ((= @t126 @t125))) % 18.11/18.34 (step @p81 :rule trans :premises (@p80 @p79)) % 18.11/18.34 (step @p82 :rule refl :args (@t109)) % 18.11/18.34 (step @p83 :rule refl :args (@t110)) % 18.11/18.34 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81) :args (@t127)) % 18.11/18.34 (step @p85 :rule quant-miniscope-or :args ((= @t114 @t127))) % 18.11/18.34 (step @p86 :rule trans :premises (@p85 @p84)) % 18.11/18.34 (step @p87 :rule symm :premises (@p86)) % 18.11/18.34 (step @p88 :rule cong :premises (@p87) :args ((forall @t9 @t129))) % 18.11/18.34 (step @p89 :rule trans :premises (@p88 @p72)) % 18.11/18.34 (step @p90 :rule aci_norm :args ((= (or @t130 @t128) @t129))) % 18.11/18.34 (step @p91 :rule refl :args (@t128)) % 18.11/18.34 (step @p92 :rule bool-and-de-morgan :args (@t10 @t7 true)) % 18.11/18.34 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t131 @t128))) % 18.11/18.34 (step @p94 :rule trans :premises (@p93 @p90)) % 18.11/18.34 (step @p95 :rule bool-impl-elim :args (@t27 @t128)) % 18.11/18.34 (step @p96 :rule trans :premises (@p95 @p94)) % 18.11/18.34 (step @p97 :rule cong :premises (@p96) :args ((forall @t9 (=> @t27 @t128)))) % 18.11/18.34 (step @p98 :rule trans :premises (@p97 @p89)) % 18.11/18.34 (step @p99 :rule alpha_equiv :args (@t134 @t135 @t118)) % 18.11/18.34 (step @p100 :rule alpha_equiv :args (@t137 @t135 @t123)) % 18.11/18.34 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t138)) % 18.11/18.34 (step @p102 :rule quant-miniscope-and :args ((= (forall @t25 (and @t136 @t133)) @t138))) % 18.11/18.34 (step @p103 :rule trans :premises (@p102 @p101)) % 18.11/18.34 (step @p104 :rule refl :args (@t132)) % 18.11/18.34 (step @p105 :rule bool-double-not-elim :args (@t19)) % 18.11/18.34 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t20) @t132))) % 18.11/18.34 (step @p107 :rule bool-impl-elim :args (@t20 @t132)) % 18.11/18.34 (step @p108 :rule trans :premises (@p107 @p106)) % 18.11/18.34 (step @p109 :rule bool-impl-elim :args (@t19 @t22)) % 18.11/18.34 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t139)) % 18.11/18.34 (step @p111 :rule cong :premises (@p110) :args ((forall @t25 @t139))) % 18.11/18.34 (step @p112 :rule trans :premises (@p111 @p103)) % 18.11/18.34 (step @p113 :rule eq-symm :args (@t15 tptp.empty_set)) % 18.11/18.34 (step @p114 :rule refl :args (@t16)) % 18.11/18.34 (step @p115 :rule cong :premises (@p114 @p113) :args (@t17)) % 18.11/18.34 (step @p116 :rule refl :args (@t20)) % 18.11/18.34 (step @p117 :rule cong :premises (@p116 @p115) :args (@t21)) % 18.11/18.34 (step @p118 :rule refl :args (@t23)) % 18.11/18.34 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t24)) % 18.11/18.34 (step @p120 :rule cong :premises (@p119) :args (@t26)) % 18.11/18.34 (step @p121 :rule trans :premises (@p120 @p112)) % 18.11/18.34 (step @p122 :rule refl :args (@t27)) % 18.11/18.34 (step @p123 :rule cong :premises (@p122 @p121) :args (@t28)) % 18.11/18.34 (step @p124 :rule cong :premises (@p123) :args (@t29)) % 18.11/18.34 (step @p125 :rule trans :premises (@p124 @p98)) % 18.11/18.34 (step @p126 :rule eq_resolve :premises (@p7 @p125)) % 18.11/18.34 (step @p127 :rule bool-eq-true :args (@t140)) % 18.11/18.34 (step @p128 :rule eq-refl :args (@t89)) % 18.11/18.34 (step @p129 :rule refl :args (@t140)) % 18.11/18.34 (step @p130 :rule cong :premises (@p129 @p128) :args ((= @t140 @t141))) % 18.11/18.34 (step @p131 :rule trans :premises (@p130 @p127)) % 18.11/18.34 (step @p132 :rule eq-symm :args (@t141 @t140)) % 18.11/18.34 (step @p133 :rule trans :premises (@p132 @p131)) % 18.11/18.34 (step @p134 :rule refl :args (@t143)) % 18.11/18.34 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t144)) % 18.11/18.34 (step @p136 :rule refl :args (@t146)) % 18.11/18.34 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t147)) % 18.11/18.34 (step @p138 :rule refl :args (@t97)) % 18.11/18.34 (step @p139 :rule refl :args (@t98)) % 18.11/18.34 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args (@t148)) % 18.11/18.34 (step @p141 :rule refl :args (@t112)) % 18.11/18.34 (step @p142 :rule cong :premises (@p141 @p140) :args ((=> @t112 @t148))) % 18.11/18.34 (assume-push @p330 @t112) % 18.11/18.34 (step @p144 :rule instantiate :premises (@p126) :args ((@list @t86 tptp.empty_set tptp.empty_set @t88 @t89))) % 18.11/18.34 (step-pop @p331 :rule scope :premises (@p144)) % 18.11/18.34 (step @p145 :rule process_scope :premises (@p331) :args (@t148)) % 18.11/18.34 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 18.11/18.34 (step @p148 :rule implies_elim :premises (@p147)) % 18.11/18.34 (step @p149 :rule chain_m_resolution :premises (@p148 @p126) :args (@t151 @t152 @t153)) % 18.11/18.34 (step @p150 :rule aci_norm :args ((= (or @t83 @t48) (or @t81 @t80 @t48)))) % 18.11/18.34 (step @p151 :rule refl :args (@t48)) % 18.11/18.34 (step @p152 :rule nary_cong :premises (@p50 @p151) :args ((or @t84 @t48))) % 18.11/18.34 (step @p153 :rule trans :premises (@p152 @p150)) % 18.11/18.34 (step @p154 :rule bool-impl-elim :args (@t51 @t48)) % 18.11/18.34 (step @p155 :rule trans :premises (@p154 @p153)) % 18.11/18.34 (step @p156 :rule cong :premises (@p155) :args (@t53)) % 18.11/18.34 (step @p157 :rule eq_resolve :premises (@p24 @p156)) % 18.11/18.34 (step @p158 :rule instantiate :premises (@p157) :args ((@list @t90 @t88 @t86))) % 18.11/18.34 (step @p159 :rule cnf_or_pos :args (@t158)) % 18.11/18.34 (step @p160 :rule reordering :premises (@p159) :args ((or @t98 @t97 @t157 (not @t158)))) % 18.11/18.34 (step @p161 :rule chain_m_resolution :premises (@p160 @p65 @p71 @p158) :args (@t157 @t159 (@list @t87 @t96 @t158))) % 18.11/18.34 (step @p162 :rule aci_norm :args ((= @t169 @t167))) % 18.11/18.34 (step @p163 :rule cong :premises (@p162) :args (@t171)) % 18.11/18.34 (step @p164 :rule quant-merge-prenex :args ((= (forall @t6 @t173) @t171))) % 18.11/18.34 (step @p165 :rule alpha_equiv :args (@t174 (@list @t160) (@list @t15))) % 18.11/18.34 (step @p166 :rule refl :args (@t165)) % 18.11/18.34 (step @p167 :rule refl :args (@t166)) % 18.11/18.34 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165) :args (@t175)) % 18.11/18.34 (step @p169 :rule quant-miniscope-or :args ((= @t173 @t175))) % 18.11/18.34 (step @p170 :rule trans :premises (@p169 @p168)) % 18.11/18.34 (step @p171 :rule symm :premises (@p170)) % 18.11/18.34 (step @p172 :rule cong :premises (@p171) :args ((forall @t6 @t179))) % 18.11/18.34 (step @p173 :rule trans :premises (@p172 @p164)) % 18.11/18.34 (step @p174 :rule trans :premises (@p173 @p163)) % 18.11/18.34 (step @p175 :rule aci_norm :args ((= (or (or @t166 @t165) @t178) @t179))) % 18.11/18.34 (step @p176 :rule refl :args (@t178)) % 18.11/18.34 (step @p177 :rule bool-and-de-morgan :args (@t39 @t72 true)) % 18.11/18.34 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or (not @t73) @t178))) % 18.11/18.34 (step @p179 :rule trans :premises (@p178 @p175)) % 18.11/18.34 (step @p180 :rule bool-impl-elim :args (@t73 @t178)) % 18.11/18.34 (step @p181 :rule trans :premises (@p180 @p179)) % 18.11/18.34 (step @p182 :rule cong :premises (@p181) :args ((forall @t6 (=> @t73 @t178)))) % 18.11/18.34 (step @p183 :rule trans :premises (@p182 @p174)) % 18.11/18.34 (step @p184 :rule aci_norm :args ((= (or @t83 @t176) @t177))) % 18.11/18.34 (step @p185 :rule refl :args (@t176)) % 18.11/18.34 (step @p186 :rule nary_cong :premises (@p50 @p185) :args ((or @t84 @t176))) % 18.11/18.34 (step @p187 :rule trans :premises (@p186 @p184)) % 18.11/18.34 (step @p188 :rule bool-impl-elim :args (@t51 @t176)) % 18.11/18.34 (step @p189 :rule trans :premises (@p188 @p187)) % 18.11/18.34 (step @p190 :rule cong :premises (@p189) :args ((forall @t70 (=> @t51 @t176)))) % 18.11/18.34 (step @p191 :rule bool-impl-elim :args (@t62 @t60)) % 18.11/18.34 (step @p192 :rule cong :premises (@p191) :args (@t64)) % 18.11/18.34 (step @p193 :rule refl :args (@t65)) % 18.11/18.34 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t66)) % 18.11/18.34 (step @p195 :rule refl :args (@t67)) % 18.11/18.34 (step @p196 :rule cong :premises (@p195 @p194) :args (@t68)) % 18.11/18.34 (step @p197 :rule refl :args (@t51)) % 18.11/18.34 (step @p198 :rule cong :premises (@p197 @p196) :args (@t69)) % 18.11/18.34 (step @p199 :rule cong :premises (@p198) :args (@t71)) % 18.11/18.34 (step @p200 :rule trans :premises (@p199 @p190)) % 18.11/18.34 (step @p201 :rule refl :args (@t73)) % 18.11/18.34 (step @p202 :rule cong :premises (@p201 @p200) :args (@t74)) % 18.11/18.34 (step @p203 :rule cong :premises (@p202) :args (@t75)) % 18.11/18.34 (step @p204 :rule trans :premises (@p203 @p183)) % 18.11/18.34 (step @p205 :rule eq_resolve :premises (@p42 @p204)) % 18.11/18.34 (step @p206 :rule bool-eq-true :args (@t185)) % 18.11/18.34 (step @p207 :rule eq-symm :args (true @t185)) % 18.11/18.34 (step @p208 :rule trans :premises (@p207 @p206)) % 18.11/18.34 (step @p209 :rule eq-symm :args (@t180 @t181)) % 18.11/18.34 (step @p210 :rule refl :args (@t182)) % 18.11/18.34 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t186)) % 18.11/18.34 (step @p212 :rule cong :premises (@p211) :args (@t187)) % 18.11/18.34 (step @p213 :rule refl :args (@t184)) % 18.11/18.34 (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t188)) % 18.11/18.34 (step @p215 :rule eq-refl :args (@t91)) % 18.11/18.34 (step @p216 :rule cong :premises (@p215 @p214) :args (@t189)) % 18.11/18.34 (step @p217 :rule trans :premises (@p216 @p208)) % 18.11/18.34 (step @p218 :rule refl :args (@t191)) % 18.11/18.34 (step @p219 :rule refl :args (@t193)) % 18.11/18.34 (step @p220 :rule nary_cong :premises (@p219 @p218 @p139 @p138 @p217) :args (@t194)) % 18.11/18.34 (step @p221 :rule refl :args (@t195)) % 18.11/18.34 (step @p222 :rule cong :premises (@p221 @p220) :args ((=> @t195 @t194))) % 18.11/18.34 (assume-push @p332 @t195) % 18.11/18.34 (step @p224 :rule instantiate :premises (@p205) :args ((@list @t90 @t91 @t86))) % 18.11/18.34 (step-pop @p333 :rule scope :premises (@p224)) % 18.11/18.34 (step @p225 :rule process_scope :premises (@p333) :args (@t194)) % 18.11/18.34 (step @p227 :rule eq_resolve :premises (@p225 @p222)) % 18.11/18.34 (step @p228 :rule implies_elim :premises (@p227)) % 18.11/18.34 (step @p229 :rule chain_m_resolution :premises (@p228 @p205) :args (@t196 @t152 (@list @t195))) % 18.11/18.34 (step @p230 :rule bool-impl-elim :args (@t10 @t33)) % 18.11/18.34 (step @p231 :rule cong :premises (@p230) :args (@t34)) % 18.11/18.34 (step @p232 :rule eq_resolve :premises (@p9 @p231)) % 18.11/18.34 (step @p233 :rule instantiate :premises (@p232) :args (@t197)) % 18.11/18.34 (step @p234 :rule cnf_or_pos :args (@t198)) % 18.11/18.34 (step @p235 :rule reordering :premises (@p234) :args ((or @t98 @t192 (not @t198)))) % 18.11/18.34 (step @p236 :rule chain_m_resolution :premises (@p235 @p65 @p233) :args (@t192 (@list false false) (@list @t87 @t198))) % 18.11/18.34 (step @p237 :rule aci_norm :args ((= (or @t130 @t41) (or @t110 @t109 @t41)))) % 18.11/18.34 (step @p238 :rule refl :args (@t41)) % 18.11/18.34 (step @p239 :rule nary_cong :premises (@p92 @p238) :args ((or @t131 @t41))) % 18.11/18.34 (step @p240 :rule trans :premises (@p239 @p237)) % 18.11/18.34 (step @p241 :rule bool-impl-elim :args (@t27 @t41)) % 18.11/18.34 (step @p242 :rule trans :premises (@p241 @p240)) % 18.11/18.34 (step @p243 :rule cong :premises (@p242) :args (@t42)) % 18.11/18.34 (step @p244 :rule eq_resolve :premises (@p19 @p243)) % 18.11/18.34 (step @p245 :rule instantiate :premises (@p244) :args (@t197)) % 18.11/18.34 (step @p246 :rule cnf_or_pos :args (@t200)) % 18.11/18.34 (step @p247 :rule reordering :premises (@p246) :args ((or @t98 @t97 @t199 (not @t200)))) % 18.11/18.34 (step @p248 :rule chain_m_resolution :premises (@p247 @p65 @p71 @p245) :args (@t199 @t159 (@list @t87 @t96 @t200))) % 18.11/18.34 (step @p249 :rule cnf_and_pos :args (@t199 1)) % 18.11/18.34 (step @p250 :rule reordering :premises (@p249) :args ((or @t190 (not @t199)))) % 18.11/18.34 (step @p251 :rule chain_m_resolution :premises (@p250 @p248) :args (@t190 @t152 (@list @t199))) % 18.11/18.34 (step @p252 :rule cnf_or_pos :args (@t196)) % 18.11/18.34 (step @p253 :rule reordering :premises (@p252) :args ((or @t98 @t97 @t191 @t193 @t185 (not @t196)))) % 18.11/18.34 (step @p254 :rule chain_m_resolution :premises (@p253 @p65 @p71 @p251 @p236 @p229) :args (@t185 (@list false false false false false) (@list @t87 @t96 @t190 @t192 @t196))) % 18.11/18.34 (step @p255 :rule cnf_and_pos :args (@t185 1)) % 18.11/18.34 (step @p256 :rule reordering :premises (@p255) :args ((or @t183 (not @t185)))) % 18.11/18.34 (step @p257 :rule chain_m_resolution :premises (@p256 @p254) :args (@t183 @t152 (@list @t185))) % 18.11/18.34 (step @p258 :rule eq-symm :args (@t89 @t92)) % 18.11/18.34 (step @p259 :rule refl :args (@t201)) % 18.11/18.34 (step @p260 :rule nary_cong :premises (@p259 @p258) :args (@t202)) % 18.11/18.34 (step @p261 :rule refl :args (@t183)) % 18.11/18.34 (step @p262 :rule cong :premises (@p261 @p260) :args ((=> @t183 @t202))) % 18.11/18.34 (assume-push @p334 @t183) % 18.11/18.34 (step @p264 :rule instantiate :premises (@p257) :args ((@list @t88))) % 18.11/18.34 (step-pop @p335 :rule scope :premises (@p264)) % 18.11/18.34 (step @p265 :rule process_scope :premises (@p335) :args (@t202)) % 18.11/18.34 (step @p267 :rule eq_resolve :premises (@p265 @p262)) % 18.11/18.34 (step @p268 :rule implies_elim :premises (@p267)) % 18.11/18.34 (step @p269 :rule chain_m_resolution :premises (@p268 @p257) :args (@t203 @t152 (@list @t183))) % 18.11/18.34 (step @p270 :rule cnf_or_neg :args (@t99 3)) % 18.11/18.34 (step @p271 :rule chain_m_resolution :premises (@p270 @p58) :args ((not @t93) @t100 @t101)) % 18.11/18.34 (step @p272 :rule cnf_or_pos :args (@t203)) % 18.11/18.34 (step @p273 :rule reordering :premises (@p272) :args ((or @t93 @t201 (not @t203)))) % 18.11/18.34 (step @p274 :rule chain_m_resolution :premises (@p273 @p271 @p269) :args (@t201 @t204 (@list @t93 @t203))) % 18.11/18.34 (step @p275 :rule cnf_equiv_pos2 :args (@t157)) % 18.11/18.34 (step @p276 :rule reordering :premises (@p275) :args ((or @t156 @t205 (not @t157)))) % 18.11/18.34 (step @p277 :rule chain_m_resolution :premises (@p276 @p274 @p161) :args (@t205 @t204 (@list @t156 @t157))) % 18.11/18.34 (step @p278 :rule bool-double-not-elim :args (@t94)) % 18.11/18.34 (step @p279 :rule nary_cong :premises (@p60 @p278) :args ((or @t99 (not @t95)))) % 18.11/18.34 (step @p280 :rule cnf_or_neg :args (@t99 2)) % 18.11/18.34 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 18.11/18.34 (step @p282 :rule reordering :premises (@p281) :args ((or @t94 @t99))) % 18.11/18.34 (step @p283 :rule chain_m_resolution :premises (@p282 @p58) :args (@t94 @t100 @t101)) % 18.11/18.34 (step @p284 :rule cnf_and_neg :args (@t154)) % 18.11/18.34 (step @p285 :rule reordering :premises (@p284) :args ((or @t95 @t206 @t154))) % 18.11/18.34 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p277) :args (@t206 (@list false true) (@list @t94 @t154))) % 18.11/18.34 (step @p287 :rule false_intro :premises (@p271)) % 18.11/18.34 (step @p288 :rule refl :args (@t89)) % 18.11/18.34 (step @p289 :rule bool-eq-true :args (@t207)) % 18.11/18.34 (step @p290 :rule eq-refl :args (@t92)) % 18.11/18.34 (step @p291 :rule refl :args (@t207)) % 18.11/18.34 (step @p292 :rule cong :premises (@p291 @p290) :args ((= @t207 @t208))) % 18.11/18.34 (step @p293 :rule trans :premises (@p292 @p289)) % 18.11/18.34 (step @p294 :rule eq-symm :args (@t208 @t207)) % 18.11/18.34 (step @p295 :rule trans :premises (@p294 @p293)) % 18.11/18.34 (step @p296 :rule refl :args (@t156)) % 18.11/18.34 (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t209)) % 18.11/18.34 (step @p298 :rule refl :args (@t210)) % 18.11/18.34 (step @p299 :rule nary_cong :premises (@p298 @p297) :args (@t211)) % 18.11/18.34 (step @p300 :rule nary_cong :premises (@p219 @p218 @p299) :args (@t212)) % 18.11/18.34 (step @p301 :rule cong :premises (@p141 @p300) :args ((=> @t112 @t212))) % 18.11/18.34 (assume-push @p336 @t112) % 18.11/18.34 (step @p303 :rule instantiate :premises (@p126) :args ((@list @t91 tptp.empty_set tptp.empty_set @t88 @t92))) % 18.11/18.34 (step-pop @p337 :rule scope :premises (@p303)) % 18.11/18.34 (step @p304 :rule process_scope :premises (@p337) :args (@t212)) % 18.11/18.34 (step @p306 :rule eq_resolve :premises (@p304 @p301)) % 18.11/18.34 (step @p307 :rule implies_elim :premises (@p306)) % 18.11/18.34 (step @p308 :rule chain_m_resolution :premises (@p307 @p126) :args (@t215 @t152 @t153)) % 18.11/18.34 (step @p309 :rule cnf_or_pos :args (@t215)) % 18.11/18.34 (step @p310 :rule reordering :premises (@p309) :args ((or @t191 @t193 @t214 (not @t215)))) % 18.11/18.34 (step @p311 :rule chain_m_resolution :premises (@p310 @p251 @p236 @p308) :args (@t214 @t159 (@list @t190 @t192 @t215))) % 18.11/18.34 (step @p312 :rule cnf_and_pos :args (@t214 1)) % 18.11/18.34 (step @p313 :rule reordering :premises (@p312) :args ((or @t213 (not @t214)))) % 18.11/18.34 (step @p314 :rule chain_m_resolution :premises (@p313 @p311) :args (@t213 @t152 (@list @t214))) % 18.11/18.34 (step @p315 :rule cnf_or_pos :args (@t213)) % 18.11/18.34 (step @p316 :rule reordering :premises (@p315) :args ((or @t207 @t156 (not @t213)))) % 18.11/18.34 (step @p317 :rule chain_m_resolution :premises (@p316 @p274 @p314) :args (@t207 @t204 (@list @t156 @t213))) % 18.11/18.34 (step @p318 :rule cong :premises (@p317 @p288) :args (@t140)) % 18.11/18.34 (step @p319 :rule trans :premises (@p318 @p287)) % 18.11/18.34 (step @p320 :rule false_elim :premises (@p319)) % 18.11/18.34 (step @p321 :rule cnf_or_pos :args (@t149)) % 18.11/18.34 (step @p322 :rule reordering :premises (@p321) :args ((or @t140 @t143 @t216))) % 18.11/18.34 (step @p323 :rule chain_m_resolution :premises (@p322 @p320 @p286) :args (@t216 (@list true true) (@list @t140 @t143))) % 18.11/18.34 (step @p324 :rule cnf_and_pos :args (@t150 1)) % 18.11/18.34 (step @p325 :rule reordering :premises (@p324) :args ((or @t149 @t217))) % 18.11/18.34 (step @p326 :rule chain_m_resolution :premises (@p325 @p323) :args (@t217 @t100 (@list @t149))) % 18.11/18.34 (step @p327 :rule cnf_or_pos :args (@t151)) % 18.11/18.34 (step @p328 :rule reordering :premises (@p327) :args ((or @t98 @t97 @t150 (not @t151)))) % 18.11/18.34 (step @p329 false :rule chain_m_resolution :premises (@p328 @p326 @p149 @p71 @p65) :args (false (@list true false false false) (@list @t150 @t151 @t96 @t87))) % 18.11/18.34 ) % 18.11/18.34 % SZS output end Proof % 18.11/18.35 % cvc5 exiting %------------------------------------------------------------------------------