%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU225+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:51:01 AM UTC 2026 % Result : Theorem 17.41s 17.67s % Output : Proof 17.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU225+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 11:42:15 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 17.41/17.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.41/17.67 --- Run --no-e-matching --full-saturate-quant at 6... % 17.41/17.67 % SZS status Theorem % 17.41/17.67 % SZS output start Proof % 17.41/17.67 ( % 17.41/17.67 (declare-sort $$unsorted 0) % 17.41/17.67 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 17.41/17.67 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 17.41/17.67 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 17.41/17.67 (declare-const tptp.relation (-> $$unsorted Bool)) % 17.41/17.67 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 17.41/17.67 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.41/17.67 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.41/17.67 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 17.41/17.67 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 17.41/17.67 (declare-const tptp.empty_set $$unsorted) % 17.41/17.67 (declare-const tptp.function (-> $$unsorted Bool)) % 17.41/17.67 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 17.41/17.67 (declare-const tptp.empty (-> $$unsorted Bool)) % 17.41/17.67 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 17.41/17.67 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 17.41/17.67 (define @t1 () (@var "A" $$unsorted)) % 17.41/17.67 (define @t2 () (@var "B" $$unsorted)) % 17.41/17.67 (define @t3 () (tptp.in @t2 @t1)) % 17.41/17.67 (define @t4 () (not @t3)) % 17.41/17.67 (define @t5 () (tptp.in @t1 @t2)) % 17.41/17.67 (define @t6 () (@list @t1 @t2)) % 17.41/17.67 (define @t7 () (tptp.function @t1)) % 17.41/17.67 (define @t8 () (tptp.empty @t1)) % 17.41/17.67 (define @t9 () (@list @t1)) % 17.41/17.67 (define @t10 () (tptp.relation @t1)) % 17.41/17.67 (define @t11 () (and @t10 @t7 (tptp.one_to_one @t1))) % 17.41/17.67 (define @t12 () (and @t10 @t8 @t7)) % 17.41/17.67 (define @t13 () (tptp.unordered_pair @t1 @t2)) % 17.41/17.67 (define @t14 () (tptp.set_intersection2 @t1 @t2)) % 17.41/17.67 (define @t15 () (@var "C" $$unsorted)) % 17.41/17.67 (define @t16 () (= @t15 (tptp.apply @t1 @t2))) % 17.41/17.67 (define @t17 () (= @t16 (= @t15 tptp.empty_set))) % 17.41/17.67 (define @t18 () (tptp.relation_dom @t1)) % 17.41/17.67 (define @t19 () (tptp.in @t2 @t18)) % 17.41/17.67 (define @t20 () (not @t19)) % 17.41/17.67 (define @t21 () (=> @t20 @t17)) % 17.41/17.67 (define @t22 () (= @t16 (tptp.in (tptp.ordered_pair @t2 @t15) @t1))) % 17.41/17.67 (define @t23 () (=> @t19 @t22)) % 17.41/17.67 (define @t24 () (and @t23 @t21)) % 17.41/17.67 (define @t25 () (@list @t2 @t15)) % 17.41/17.67 (define @t26 () (forall @t25 @t24)) % 17.41/17.67 (define @t27 () (and @t10 @t7)) % 17.41/17.67 (define @t28 () (=> @t27 @t26)) % 17.41/17.67 (define @t29 () (forall @t9 @t28)) % 17.41/17.67 (define @t30 () (tptp.singleton @t1)) % 17.41/17.67 (define @t31 () (tptp.ordered_pair @t1 @t2)) % 17.41/17.67 (define @t32 () (tptp.relation_dom_restriction @t1 @t2)) % 17.41/17.67 (define @t33 () (tptp.relation @t32)) % 17.41/17.67 (define @t34 () (forall @t6 (=> @t10 @t33))) % 17.41/17.67 (define @t35 () (tptp.relation tptp.empty_set)) % 17.41/17.67 (define @t36 () (tptp.empty tptp.empty_set)) % 17.41/17.67 (define @t37 () (and @t10 (tptp.relation_empty_yielding @t1))) % 17.41/17.67 (define @t38 () (tptp.relation @t2)) % 17.41/17.67 (define @t39 () (and @t33 (tptp.function @t32))) % 17.41/17.67 (define @t40 () (forall @t6 (=> @t27 @t39))) % 17.41/17.67 (define @t41 () (tptp.empty @t18)) % 17.41/17.67 (define @t42 () (not @t8)) % 17.41/17.67 (define @t43 () (and @t42 @t10)) % 17.41/17.67 (define @t44 () (tptp.relation_dom @t15)) % 17.41/17.67 (define @t45 () (tptp.relation_dom_restriction @t15 @t1)) % 17.41/17.67 (define @t46 () (= (tptp.in @t2 (tptp.relation_dom @t45)) (and (tptp.in @t2 @t44) @t3))) % 17.41/17.67 (define @t47 () (tptp.function @t15)) % 17.41/17.67 (define @t48 () (tptp.relation @t15)) % 17.41/17.67 (define @t49 () (and @t48 @t47)) % 17.41/17.67 (define @t50 () (@list @t1 @t2 @t15)) % 17.41/17.67 (define @t51 () (forall @t50 (=> @t49 @t46))) % 17.41/17.67 (define @t52 () (tptp.element @t1 @t2)) % 17.41/17.67 (define @t53 () (tptp.empty @t2)) % 17.41/17.67 (define @t54 () (@var "D" $$unsorted)) % 17.41/17.67 (define @t55 () (tptp.apply @t2 @t54)) % 17.41/17.67 (define @t56 () (= @t55 (tptp.apply @t15 @t54))) % 17.41/17.67 (define @t57 () (tptp.relation_dom @t2)) % 17.41/17.67 (define @t58 () (tptp.in @t54 @t57)) % 17.41/17.67 (define @t59 () (@list @t54)) % 17.41/17.67 (define @t60 () (forall @t59 (=> @t58 @t56))) % 17.41/17.67 (define @t61 () (= @t57 (tptp.set_intersection2 @t44 @t1))) % 17.41/17.67 (define @t62 () (and @t61 @t60)) % 17.41/17.67 (define @t63 () (= @t2 @t45)) % 17.41/17.67 (define @t64 () (= @t63 @t62)) % 17.41/17.67 (define @t65 () (=> @t49 @t64)) % 17.41/17.67 (define @t66 () (@list @t15)) % 17.41/17.67 (define @t67 () (forall @t66 @t65)) % 17.41/17.67 (define @t68 () (tptp.function @t2)) % 17.41/17.67 (define @t69 () (and @t38 @t68)) % 17.41/17.67 (define @t70 () (=> @t69 @t67)) % 17.41/17.67 (define @t71 () (forall @t6 @t70)) % 17.41/17.67 (define @t72 () (= (tptp.apply @t45 @t2) (tptp.apply @t15 @t2))) % 17.41/17.67 (define @t73 () (=> @t3 @t72)) % 17.41/17.67 (define @t74 () (forall @t50 (=> @t49 @t73))) % 17.41/17.67 (define @t75 () (not @t74)) % 17.41/17.67 (define @t76 () (not @t47)) % 17.41/17.67 (define @t77 () (not @t48)) % 17.41/17.67 (define @t78 () (or @t77 @t76 @t4 @t72)) % 17.41/17.67 (define @t79 () (forall @t50 @t78)) % 17.41/17.67 (define @t80 () (@quantifiers_skolemize @t79 0)) % 17.41/17.67 (define @t81 () (@quantifiers_skolemize @t79 2)) % 17.41/17.67 (define @t82 () (@list @t81 @t80)) % 17.41/17.67 (define @t83 () (or @t77 @t76)) % 17.41/17.67 (define @t84 () (not @t49)) % 17.41/17.67 (define @t85 () (tptp.relation @t81)) % 17.41/17.67 (define @t86 () (@quantifiers_skolemize @t79 1)) % 17.41/17.67 (define @t87 () (tptp.apply @t81 @t86)) % 17.41/17.67 (define @t88 () (tptp.relation_dom_restriction @t81 @t80)) % 17.41/17.67 (define @t89 () (tptp.apply @t88 @t86)) % 17.41/17.67 (define @t90 () (= @t89 @t87)) % 17.41/17.67 (define @t91 () (tptp.in @t86 @t80)) % 17.41/17.67 (define @t92 () (not @t91)) % 17.41/17.67 (define @t93 () (tptp.function @t81)) % 17.41/17.67 (define @t94 () (not @t93)) % 17.41/17.67 (define @t95 () (not @t85)) % 17.41/17.67 (define @t96 () (or @t95 @t94 @t92 @t90)) % 17.41/17.67 (define @t97 () (@list true)) % 17.41/17.67 (define @t98 () (@list @t96)) % 17.41/17.67 (define @t99 () (tptp.relation @t88)) % 17.41/17.67 (define @t100 () (or @t95 @t99)) % 17.41/17.67 (define @t101 () (not @t7)) % 17.41/17.67 (define @t102 () (not @t10)) % 17.41/17.67 (define @t103 () (or @t102 @t101)) % 17.41/17.67 (define @t104 () (not @t27)) % 17.41/17.67 (define @t105 () (tptp.function @t88)) % 17.41/17.67 (define @t106 () (and @t99 @t105)) % 17.41/17.67 (define @t107 () (or @t95 @t94 @t106)) % 17.41/17.67 (define @t108 () (@list false false false)) % 17.41/17.67 (define @t109 () (@list false)) % 17.41/17.67 (define @t110 () (@var "BOUND_VARIABLE_7673" $$unsorted)) % 17.41/17.67 (define @t111 () (@var "BOUND_VARIABLE_7671" $$unsorted)) % 17.41/17.67 (define @t112 () (or (tptp.in @t111 @t18) (= (= @t110 (tptp.apply @t1 @t111)) (= tptp.empty_set @t110)))) % 17.41/17.67 (define @t113 () (@var "BOUND_VARIABLE_7661" $$unsorted)) % 17.41/17.67 (define @t114 () (@var "BOUND_VARIABLE_7659" $$unsorted)) % 17.41/17.67 (define @t115 () (or (not (tptp.in @t114 @t18)) (= (= @t113 (tptp.apply @t1 @t114)) (tptp.in (tptp.ordered_pair @t114 @t113) @t1)))) % 17.41/17.67 (define @t116 () (and @t115 @t112)) % 17.41/17.67 (define @t117 () (or @t102 @t101 @t116)) % 17.41/17.67 (define @t118 () (forall (@list @t1 @t114 @t113 @t111 @t110) @t117)) % 17.41/17.67 (define @t119 () (@list @t114 @t113 @t111 @t110)) % 17.41/17.67 (define @t120 () (forall @t119 @t117)) % 17.41/17.67 (define @t121 () (forall (@list @t111 @t110) @t112)) % 17.41/17.67 (define @t122 () (@var "BOUND_VARIABLE_7642" $$unsorted)) % 17.41/17.67 (define @t123 () (@var "BOUND_VARIABLE_7640" $$unsorted)) % 17.41/17.67 (define @t124 () (@list @t123 @t122)) % 17.41/17.67 (define @t125 () (forall @t119 @t112)) % 17.41/17.67 (define @t126 () (forall (@list @t114 @t113) @t115)) % 17.41/17.67 (define @t127 () (@var "BOUND_VARIABLE_7628" $$unsorted)) % 17.41/17.67 (define @t128 () (@var "BOUND_VARIABLE_7626" $$unsorted)) % 17.41/17.67 (define @t129 () (@list @t128 @t127)) % 17.41/17.67 (define @t130 () (forall @t119 @t115)) % 17.41/17.67 (define @t131 () (and @t130 @t125)) % 17.41/17.67 (define @t132 () (forall @t119 @t116)) % 17.41/17.67 (define @t133 () (or @t102 @t101 @t132)) % 17.41/17.67 (define @t134 () (and (forall (@list @t128 @t127) (or (not (tptp.in @t128 @t18)) (= (= @t127 (tptp.apply @t1 @t128)) (tptp.in (tptp.ordered_pair @t128 @t127) @t1)))) (forall (@list @t123 @t122) (or (tptp.in @t123 @t18) (= (= @t122 (tptp.apply @t1 @t123)) (= tptp.empty_set @t122)))))) % 17.41/17.67 (define @t135 () (or @t102 @t101 @t134)) % 17.41/17.67 (define @t136 () (= @t16 (= tptp.empty_set @t15))) % 17.41/17.67 (define @t137 () (or @t19 @t136)) % 17.41/17.67 (define @t138 () (forall @t25 @t137)) % 17.41/17.67 (define @t139 () (@list @t2 @t15)) % 17.41/17.67 (define @t140 () (or @t20 @t22)) % 17.41/17.67 (define @t141 () (forall @t25 @t140)) % 17.41/17.67 (define @t142 () (and @t141 @t138)) % 17.41/17.67 (define @t143 () (and @t23 (=> @t20 @t136))) % 17.41/17.67 (define @t144 () (= tptp.empty_set @t89)) % 17.41/17.67 (define @t145 () (= @t89 @t89)) % 17.41/17.67 (define @t146 () (tptp.relation_dom @t88)) % 17.41/17.67 (define @t147 () (tptp.in @t86 @t146)) % 17.41/17.67 (define @t148 () (or @t147 (= @t145 @t144))) % 17.41/17.67 (define @t149 () (tptp.ordered_pair tptp.empty_set tptp.empty_set)) % 17.41/17.67 (define @t150 () (or (not (tptp.in tptp.empty_set @t146)) (= (= tptp.empty_set (tptp.apply @t88 tptp.empty_set)) (tptp.in @t149 @t88)))) % 17.41/17.67 (define @t151 () (and @t150 @t148)) % 17.41/17.67 (define @t152 () (not @t105)) % 17.41/17.67 (define @t153 () (not @t99)) % 17.41/17.67 (define @t154 () (or @t153 @t152 @t151)) % 17.41/17.67 (define @t155 () (or @t147 @t144)) % 17.41/17.67 (define @t156 () (and @t150 @t155)) % 17.41/17.67 (define @t157 () (or @t153 @t152 @t156)) % 17.41/17.67 (define @t158 () (@list @t118)) % 17.41/17.67 (define @t159 () (@var "BOUND_VARIABLE_7798" $$unsorted)) % 17.41/17.67 (define @t160 () (not @t58)) % 17.41/17.67 (define @t161 () (= (= @t2 (tptp.relation_dom_restriction @t159 @t1)) (and (= @t57 (tptp.set_intersection2 (tptp.relation_dom @t159) @t1)) (forall @t59 (or @t160 (= @t55 (tptp.apply @t159 @t54))))))) % 17.41/17.67 (define @t162 () (not (tptp.function @t159))) % 17.41/17.67 (define @t163 () (not (tptp.relation @t159))) % 17.41/17.67 (define @t164 () (not @t68)) % 17.41/17.67 (define @t165 () (not @t38)) % 17.41/17.67 (define @t166 () (or @t165 @t164 @t163 @t162 @t161)) % 17.41/17.67 (define @t167 () (or @t163 @t162 @t161)) % 17.41/17.67 (define @t168 () (or @t165 @t164 @t167)) % 17.41/17.67 (define @t169 () (@list @t1 @t2 @t159)) % 17.41/17.67 (define @t170 () (forall @t169 @t168)) % 17.41/17.67 (define @t171 () (@list @t159)) % 17.41/17.67 (define @t172 () (forall @t171 @t168)) % 17.41/17.67 (define @t173 () (forall @t171 @t167)) % 17.41/17.67 (define @t174 () (or @t165 @t164 @t173)) % 17.41/17.67 (define @t175 () (= @t63 (and @t61 (forall @t59 (or @t160 @t56))))) % 17.41/17.67 (define @t176 () (or @t77 @t76 @t175)) % 17.41/17.67 (define @t177 () (forall @t66 @t176)) % 17.41/17.67 (define @t178 () (or @t165 @t164 @t177)) % 17.41/17.67 (define @t179 () (tptp.apply @t88 @t54)) % 17.41/17.67 (define @t180 () (tptp.apply @t81 @t54)) % 17.41/17.67 (define @t181 () (not (tptp.in @t54 @t146))) % 17.41/17.67 (define @t182 () (forall @t59 (or @t181 (= @t180 @t179)))) % 17.41/17.67 (define @t183 () (tptp.relation_dom @t81)) % 17.41/17.67 (define @t184 () (= @t146 (tptp.set_intersection2 @t183 @t80))) % 17.41/17.67 (define @t185 () (and @t184 @t182)) % 17.41/17.67 (define @t186 () (or @t181 (= @t179 @t180))) % 17.41/17.67 (define @t187 () (forall @t59 @t186)) % 17.41/17.67 (define @t188 () (and @t184 @t187)) % 17.41/17.67 (define @t189 () (= (= @t88 @t88) @t188)) % 17.41/17.67 (define @t190 () (or @t153 @t152 @t95 @t94 @t189)) % 17.41/17.67 (define @t191 () (forall @t169 @t166)) % 17.41/17.67 (define @t192 () (or @t153 @t152 @t95 @t94 @t185)) % 17.41/17.67 (define @t193 () (not @t147)) % 17.41/17.67 (define @t194 () (or @t193 (= @t87 @t89))) % 17.41/17.67 (define @t195 () (or @t193 @t90)) % 17.41/17.67 (define @t196 () (not @t90)) % 17.41/17.67 (define @t197 () (@list true false)) % 17.41/17.67 (define @t198 () (= tptp.empty_set @t87)) % 17.41/17.67 (define @t199 () (= @t87 @t87)) % 17.41/17.67 (define @t200 () (tptp.in @t86 @t183)) % 17.41/17.67 (define @t201 () (or @t200 (= @t199 @t198))) % 17.41/17.67 (define @t202 () (or (not (tptp.in tptp.empty_set @t183)) (= (= tptp.empty_set (tptp.apply @t81 tptp.empty_set)) (tptp.in @t149 @t81)))) % 17.41/17.67 (define @t203 () (and @t202 @t201)) % 17.41/17.67 (define @t204 () (or @t95 @t94 @t203)) % 17.41/17.67 (define @t205 () (or @t200 @t198)) % 17.41/17.67 (define @t206 () (and @t202 @t205)) % 17.41/17.67 (define @t207 () (or @t95 @t94 @t206)) % 17.41/17.67 (define @t208 () (and @t200 @t91)) % 17.41/17.67 (define @t209 () (= @t147 @t208)) % 17.41/17.67 (define @t210 () (or @t95 @t94 @t209)) % 17.41/17.67 (define @t211 () (not @t208)) % 17.41/17.67 (define @t212 () (not @t200)) % 17.41/17.67 (define @t213 () (not @t198)) % 17.41/17.67 (define @t214 () (not @t144)) % 17.41/17.67 (define @t215 () (and @t196 @t144)) % 17.41/17.67 (define @t216 () (not @t155)) % 17.41/17.67 (define @t217 () (not @t156)) % 17.41/17.67 (assume @p1 (forall @t6 (=> @t5 @t4))) % 17.41/17.67 (assume @p2 (forall @t9 (=> @t8 @t7))) % 17.41/17.67 (assume @p3 (forall @t9 (=> @t8 @t10))) % 17.41/17.67 (assume @p4 (forall @t9 (=> @t12 @t11))) % 17.41/17.67 (assume @p5 (forall @t6 (= @t13 (tptp.unordered_pair @t2 @t1)))) % 17.41/17.67 (assume @p6 (forall @t6 (= @t14 (tptp.set_intersection2 @t2 @t1)))) % 17.41/17.67 (assume @p7 @t29) % 17.41/17.67 (assume @p8 (forall @t6 (= @t31 (tptp.unordered_pair @t13 @t30)))) % 17.41/17.67 (assume @p9 true) % 17.41/17.67 (assume @p10 @t34) % 17.41/17.67 (assume @p11 (forall @t9 (exists (@list @t2) (tptp.element @t2 @t1)))) % 17.41/17.67 (assume @p12 (and @t36 @t35 (tptp.relation_empty_yielding tptp.empty_set))) % 17.41/17.67 (assume @p13 (forall @t6 (=> @t37 (and @t33 (tptp.relation_empty_yielding @t32))))) % 17.41/17.67 (assume @p14 (forall @t6 (=> (and @t10 @t38) (tptp.relation @t14)))) % 17.41/17.67 (assume @p15 @t36) % 17.41/17.67 (assume @p16 (forall @t6 (not (tptp.empty @t31)))) % 17.41/17.67 (assume @p17 (forall @t9 (not (tptp.empty @t30)))) % 17.41/17.67 (assume @p18 (forall @t6 (not (tptp.empty @t13)))) % 17.41/17.67 (assume @p19 @t40) % 17.41/17.67 (assume @p20 (and @t36 @t35)) % 17.41/17.67 (assume @p21 (forall @t9 (=> @t43 (not @t41)))) % 17.41/17.67 (assume @p22 (forall @t9 (=> @t8 (and @t41 (tptp.relation @t18))))) % 17.41/17.67 (assume @p23 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 17.41/17.67 (assume @p24 @t51) % 17.41/17.67 (assume @p25 (exists @t9 @t27)) % 17.41/17.67 (assume @p26 (exists @t9 (and @t8 @t10))) % 17.41/17.67 (assume @p27 (exists @t9 @t8)) % 17.41/17.67 (assume @p28 (exists @t9 @t12)) % 17.41/17.67 (assume @p29 (exists @t9 @t43)) % 17.41/17.67 (assume @p30 (exists @t9 @t42)) % 17.41/17.67 (assume @p31 (exists @t9 @t11)) % 17.41/17.67 (assume @p32 (exists @t9 @t37)) % 17.41/17.67 (assume @p33 (forall @t6 (=> @t5 @t52))) % 17.41/17.67 (assume @p34 (forall @t9 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 17.41/17.67 (assume @p35 (forall @t6 (=> @t52 (or @t53 @t5)))) % 17.41/17.67 (assume @p36 @t71) % 17.41/17.67 (assume @p37 (forall @t9 (=> @t8 (= @t1 tptp.empty_set)))) % 17.41/17.67 (assume @p38 @t75) % 17.41/17.67 (assume @p39 (forall @t6 (not (and @t5 @t53)))) % 17.41/17.67 (assume @p40 (forall @t6 (not (and @t8 (not (= @t1 @t2)) @t53)))) % 17.41/17.67 (step @p41 :rule bool-impl-elim :args (@t10 @t33)) % 17.41/17.67 (step @p42 :rule cong :premises (@p41) :args (@t34)) % 17.41/17.67 (step @p43 :rule eq_resolve :premises (@p10 @p42)) % 17.41/17.67 (step @p44 :rule instantiate :premises (@p43) :args (@t82)) % 17.41/17.67 (step @p45 :rule aci_norm :args ((= (or @t83 (or @t4 @t72)) @t78))) % 17.41/17.67 (step @p46 :rule bool-impl-elim :args (@t3 @t72)) % 17.41/17.67 (step @p47 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 17.41/17.67 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t84 @t73))) % 17.41/17.67 (step @p49 :rule trans :premises (@p48 @p45)) % 17.41/17.67 (step @p50 :rule bool-impl-elim :args (@t49 @t73)) % 17.41/17.67 (step @p51 :rule trans :premises (@p50 @p49)) % 17.41/17.67 (step @p52 :rule cong :premises (@p51) :args (@t74)) % 17.41/17.67 (step @p53 :rule cong :premises (@p52) :args (@t75)) % 17.41/17.67 (step @p54 :rule eq_resolve :premises (@p38 @p53)) % 17.41/17.67 (step @p55 :rule skolemize :premises (@p54)) % 17.41/17.67 (step @p56 :rule bool-double-not-elim :args (@t85)) % 17.41/17.67 (step @p57 :rule refl :args (@t96)) % 17.41/17.67 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t96 (not @t95)))) % 17.41/17.67 (step @p59 :rule cnf_or_neg :args (@t96 0)) % 17.41/17.67 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 17.41/17.67 (step @p61 :rule reordering :premises (@p60) :args ((or @t85 @t96))) % 17.41/17.67 (step @p62 :rule chain_m_resolution :premises (@p61 @p55) :args (@t85 @t97 @t98)) % 17.41/17.67 (step @p63 :rule cnf_or_pos :args (@t100)) % 17.41/17.67 (step @p64 :rule reordering :premises (@p63) :args ((or @t95 @t99 (not @t100)))) % 17.41/17.67 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p44) :args (@t99 (@list false false) (@list @t85 @t100))) % 17.41/17.67 (step @p66 :rule aci_norm :args ((= (or @t103 @t39) (or @t102 @t101 @t39)))) % 17.41/17.67 (step @p67 :rule refl :args (@t39)) % 17.41/17.67 (step @p68 :rule bool-and-de-morgan :args (@t10 @t7 true)) % 17.41/17.67 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t104 @t39))) % 17.41/17.67 (step @p70 :rule trans :premises (@p69 @p66)) % 17.41/17.67 (step @p71 :rule bool-impl-elim :args (@t27 @t39)) % 17.41/17.67 (step @p72 :rule trans :premises (@p71 @p70)) % 17.41/17.67 (step @p73 :rule cong :premises (@p72) :args (@t40)) % 17.41/17.67 (step @p74 :rule eq_resolve :premises (@p19 @p73)) % 17.41/17.67 (step @p75 :rule instantiate :premises (@p74) :args (@t82)) % 17.41/17.67 (step @p76 :rule bool-double-not-elim :args (@t93)) % 17.41/17.67 (step @p77 :rule nary_cong :premises (@p57 @p76) :args ((or @t96 (not @t94)))) % 17.41/17.67 (step @p78 :rule cnf_or_neg :args (@t96 1)) % 17.41/17.67 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 17.41/17.67 (step @p80 :rule reordering :premises (@p79) :args ((or @t93 @t96))) % 17.41/17.67 (step @p81 :rule chain_m_resolution :premises (@p80 @p55) :args (@t93 @t97 @t98)) % 17.41/17.67 (step @p82 :rule cnf_or_pos :args (@t107)) % 17.41/17.67 (step @p83 :rule reordering :premises (@p82) :args ((or @t95 @t94 @t106 (not @t107)))) % 17.41/17.67 (step @p84 :rule chain_m_resolution :premises (@p83 @p62 @p81 @p75) :args (@t106 @t108 (@list @t85 @t93 @t107))) % 17.41/17.67 (step @p85 :rule cnf_and_pos :args (@t106 1)) % 17.41/17.67 (step @p86 :rule reordering :premises (@p85) :args ((or @t105 (not @t106)))) % 17.41/17.67 (step @p87 :rule chain_m_resolution :premises (@p86 @p84) :args (@t105 @t109 (@list @t106))) % 17.41/17.67 (step @p88 :rule quant-merge-prenex :args ((= (forall @t9 @t120) @t118))) % 17.41/17.67 (step @p89 :rule alpha_equiv :args (@t121 (@list @t111 @t110) @t124)) % 17.41/17.67 (step @p90 :rule quant-unused-vars :args ((= @t125 @t121))) % 17.41/17.67 (step @p91 :rule trans :premises (@p90 @p89)) % 17.41/17.67 (step @p92 :rule alpha_equiv :args (@t126 (@list @t114 @t113) @t129)) % 17.41/17.67 (step @p93 :rule quant-unused-vars :args ((= @t130 @t126))) % 17.41/17.67 (step @p94 :rule trans :premises (@p93 @p92)) % 17.41/17.67 (step @p95 :rule nary_cong :premises (@p94 @p91) :args (@t131)) % 17.41/17.67 (step @p96 :rule quant-miniscope-and :args ((= @t132 @t131))) % 17.41/17.67 (step @p97 :rule trans :premises (@p96 @p95)) % 17.41/17.67 (step @p98 :rule refl :args (@t101)) % 17.41/17.67 (step @p99 :rule refl :args (@t102)) % 17.41/17.67 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97) :args (@t133)) % 17.41/17.67 (step @p101 :rule quant-miniscope-or :args ((= @t120 @t133))) % 17.41/17.67 (step @p102 :rule trans :premises (@p101 @p100)) % 17.41/17.67 (step @p103 :rule symm :premises (@p102)) % 17.41/17.67 (step @p104 :rule cong :premises (@p103) :args ((forall @t9 @t135))) % 17.41/17.67 (step @p105 :rule trans :premises (@p104 @p88)) % 17.41/17.67 (step @p106 :rule aci_norm :args ((= (or @t103 @t134) @t135))) % 17.41/17.67 (step @p107 :rule refl :args (@t134)) % 17.41/17.67 (step @p108 :rule nary_cong :premises (@p68 @p107) :args ((or @t104 @t134))) % 17.41/17.67 (step @p109 :rule trans :premises (@p108 @p106)) % 17.41/17.67 (step @p110 :rule bool-impl-elim :args (@t27 @t134)) % 17.41/17.67 (step @p111 :rule trans :premises (@p110 @p109)) % 17.41/17.67 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 (=> @t27 @t134)))) % 17.41/17.67 (step @p113 :rule trans :premises (@p112 @p105)) % 17.41/17.67 (step @p114 :rule alpha_equiv :args (@t138 @t139 @t124)) % 17.41/17.67 (step @p115 :rule alpha_equiv :args (@t141 @t139 @t129)) % 17.41/17.67 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t142)) % 17.41/17.67 (step @p117 :rule quant-miniscope-and :args ((= (forall @t25 (and @t140 @t137)) @t142))) % 17.41/17.67 (step @p118 :rule trans :premises (@p117 @p116)) % 17.41/17.67 (step @p119 :rule refl :args (@t136)) % 17.41/17.67 (step @p120 :rule bool-double-not-elim :args (@t19)) % 17.41/17.67 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t20) @t136))) % 17.41/17.67 (step @p122 :rule bool-impl-elim :args (@t20 @t136)) % 17.41/17.67 (step @p123 :rule trans :premises (@p122 @p121)) % 17.41/17.67 (step @p124 :rule bool-impl-elim :args (@t19 @t22)) % 17.41/17.67 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t143)) % 17.41/17.67 (step @p126 :rule cong :premises (@p125) :args ((forall @t25 @t143))) % 17.41/17.67 (step @p127 :rule trans :premises (@p126 @p118)) % 17.41/17.67 (step @p128 :rule eq-symm :args (@t15 tptp.empty_set)) % 17.41/17.67 (step @p129 :rule refl :args (@t16)) % 17.41/17.67 (step @p130 :rule cong :premises (@p129 @p128) :args (@t17)) % 17.41/17.67 (step @p131 :rule refl :args (@t20)) % 17.41/17.67 (step @p132 :rule cong :premises (@p131 @p130) :args (@t21)) % 17.41/17.67 (step @p133 :rule refl :args (@t23)) % 17.41/17.67 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t24)) % 17.41/17.67 (step @p135 :rule cong :premises (@p134) :args (@t26)) % 17.41/17.67 (step @p136 :rule trans :premises (@p135 @p127)) % 17.41/17.67 (step @p137 :rule refl :args (@t27)) % 17.41/17.67 (step @p138 :rule cong :premises (@p137 @p136) :args (@t28)) % 17.41/17.67 (step @p139 :rule cong :premises (@p138) :args (@t29)) % 17.41/17.67 (step @p140 :rule trans :premises (@p139 @p113)) % 17.41/17.67 (step @p141 :rule eq_resolve :premises (@p7 @p140)) % 17.41/17.67 (step @p142 :rule bool-eq-true :args (@t144)) % 17.41/17.67 (step @p143 :rule eq-refl :args (@t89)) % 17.41/17.67 (step @p144 :rule refl :args (@t144)) % 17.41/17.67 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t144 @t145))) % 17.41/17.67 (step @p146 :rule trans :premises (@p145 @p142)) % 17.41/17.67 (step @p147 :rule eq-symm :args (@t145 @t144)) % 17.41/17.67 (step @p148 :rule trans :premises (@p147 @p146)) % 17.41/17.67 (step @p149 :rule refl :args (@t147)) % 17.41/17.67 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t148)) % 17.41/17.67 (step @p151 :rule refl :args (@t150)) % 17.41/17.67 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t151)) % 17.41/17.67 (step @p153 :rule refl :args (@t152)) % 17.41/17.67 (step @p154 :rule refl :args (@t153)) % 17.41/17.67 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152) :args (@t154)) % 17.41/17.67 (step @p156 :rule refl :args (@t118)) % 17.41/17.67 (step @p157 :rule cong :premises (@p156 @p155) :args ((=> @t118 @t154))) % 17.41/17.67 (assume-push @p345 @t118) % 17.41/17.67 (step @p159 :rule instantiate :premises (@p141) :args ((@list @t88 tptp.empty_set tptp.empty_set @t86 @t89))) % 17.41/17.67 (step-pop @p346 :rule scope :premises (@p159)) % 17.41/17.67 (step @p160 :rule process_scope :premises (@p346) :args (@t154)) % 17.41/17.67 (step @p162 :rule eq_resolve :premises (@p160 @p157)) % 17.41/17.67 (step @p163 :rule implies_elim :premises (@p162)) % 17.41/17.67 (step @p164 :rule chain_m_resolution :premises (@p163 @p141) :args (@t157 @t109 @t158)) % 17.41/17.67 (step @p165 :rule aci_norm :args ((= @t168 @t166))) % 17.41/17.67 (step @p166 :rule cong :premises (@p165) :args (@t170)) % 17.41/17.67 (step @p167 :rule quant-merge-prenex :args ((= (forall @t6 @t172) @t170))) % 17.41/17.67 (step @p168 :rule alpha_equiv :args (@t173 (@list @t159) (@list @t15))) % 17.41/17.67 (step @p169 :rule refl :args (@t164)) % 17.41/17.67 (step @p170 :rule refl :args (@t165)) % 17.41/17.67 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args (@t174)) % 17.41/17.67 (step @p172 :rule quant-miniscope-or :args ((= @t172 @t174))) % 17.41/17.67 (step @p173 :rule trans :premises (@p172 @p171)) % 17.41/17.67 (step @p174 :rule symm :premises (@p173)) % 17.41/17.67 (step @p175 :rule cong :premises (@p174) :args ((forall @t6 @t178))) % 17.41/17.67 (step @p176 :rule trans :premises (@p175 @p167)) % 17.41/17.67 (step @p177 :rule trans :premises (@p176 @p166)) % 17.41/17.67 (step @p178 :rule aci_norm :args ((= (or (or @t165 @t164) @t177) @t178))) % 17.41/17.67 (step @p179 :rule refl :args (@t177)) % 17.41/17.67 (step @p180 :rule bool-and-de-morgan :args (@t38 @t68 true)) % 17.41/17.67 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or (not @t69) @t177))) % 17.41/17.67 (step @p182 :rule trans :premises (@p181 @p178)) % 17.41/17.67 (step @p183 :rule bool-impl-elim :args (@t69 @t177)) % 17.41/17.67 (step @p184 :rule trans :premises (@p183 @p182)) % 17.41/17.67 (step @p185 :rule cong :premises (@p184) :args ((forall @t6 (=> @t69 @t177)))) % 17.41/17.67 (step @p186 :rule trans :premises (@p185 @p177)) % 17.41/17.67 (step @p187 :rule aci_norm :args ((= (or @t83 @t175) @t176))) % 17.41/17.67 (step @p188 :rule refl :args (@t175)) % 17.41/17.67 (step @p189 :rule nary_cong :premises (@p47 @p188) :args ((or @t84 @t175))) % 17.41/17.67 (step @p190 :rule trans :premises (@p189 @p187)) % 17.41/17.67 (step @p191 :rule bool-impl-elim :args (@t49 @t175)) % 17.41/17.67 (step @p192 :rule trans :premises (@p191 @p190)) % 17.41/17.67 (step @p193 :rule cong :premises (@p192) :args ((forall @t66 (=> @t49 @t175)))) % 17.41/17.67 (step @p194 :rule bool-impl-elim :args (@t58 @t56)) % 17.41/17.67 (step @p195 :rule cong :premises (@p194) :args (@t60)) % 17.41/17.67 (step @p196 :rule refl :args (@t61)) % 17.41/17.67 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t62)) % 17.41/17.67 (step @p198 :rule refl :args (@t63)) % 17.41/17.67 (step @p199 :rule cong :premises (@p198 @p197) :args (@t64)) % 17.41/17.67 (step @p200 :rule refl :args (@t49)) % 17.41/17.67 (step @p201 :rule cong :premises (@p200 @p199) :args (@t65)) % 17.41/17.67 (step @p202 :rule cong :premises (@p201) :args (@t67)) % 17.41/17.67 (step @p203 :rule trans :premises (@p202 @p193)) % 17.41/17.67 (step @p204 :rule refl :args (@t69)) % 17.41/17.67 (step @p205 :rule cong :premises (@p204 @p203) :args (@t70)) % 17.41/17.67 (step @p206 :rule cong :premises (@p205) :args (@t71)) % 17.41/17.67 (step @p207 :rule trans :premises (@p206 @p186)) % 17.41/17.67 (step @p208 :rule eq_resolve :premises (@p36 @p207)) % 17.41/17.67 (step @p209 :rule bool-eq-true :args (@t185)) % 17.41/17.67 (step @p210 :rule eq-symm :args (true @t185)) % 17.41/17.67 (step @p211 :rule trans :premises (@p210 @p209)) % 17.41/17.67 (step @p212 :rule eq-symm :args (@t179 @t180)) % 17.41/17.67 (step @p213 :rule refl :args (@t181)) % 17.41/17.67 (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t186)) % 17.41/17.67 (step @p215 :rule cong :premises (@p214) :args (@t187)) % 17.41/17.67 (step @p216 :rule refl :args (@t184)) % 17.41/17.67 (step @p217 :rule nary_cong :premises (@p216 @p215) :args (@t188)) % 17.41/17.67 (step @p218 :rule eq-refl :args (@t88)) % 17.41/17.67 (step @p219 :rule cong :premises (@p218 @p217) :args (@t189)) % 17.41/17.67 (step @p220 :rule trans :premises (@p219 @p211)) % 17.41/17.67 (step @p221 :rule refl :args (@t94)) % 17.41/17.67 (step @p222 :rule refl :args (@t95)) % 17.41/17.67 (step @p223 :rule nary_cong :premises (@p154 @p153 @p222 @p221 @p220) :args (@t190)) % 17.41/17.67 (step @p224 :rule refl :args (@t191)) % 17.41/17.67 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t191 @t190))) % 17.41/17.67 (assume-push @p347 @t191) % 17.41/17.67 (step @p227 :rule instantiate :premises (@p208) :args ((@list @t80 @t88 @t81))) % 17.41/17.67 (step-pop @p348 :rule scope :premises (@p227)) % 17.41/17.67 (step @p228 :rule process_scope :premises (@p348) :args (@t190)) % 17.41/17.67 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 17.41/17.67 (step @p231 :rule implies_elim :premises (@p230)) % 17.41/17.67 (step @p232 :rule chain_m_resolution :premises (@p231 @p208) :args (@t192 @t109 (@list @t191))) % 17.41/17.67 (step @p233 :rule cnf_or_pos :args (@t192)) % 17.41/17.67 (step @p234 :rule reordering :premises (@p233) :args ((or @t95 @t94 @t152 @t153 @t185 (not @t192)))) % 17.41/17.67 (step @p235 :rule chain_m_resolution :premises (@p234 @p62 @p81 @p87 @p65 @p232) :args (@t185 (@list false false false false false) (@list @t85 @t93 @t105 @t99 @t192))) % 17.41/17.67 (step @p236 :rule cnf_and_pos :args (@t185 1)) % 17.41/17.67 (step @p237 :rule reordering :premises (@p236) :args ((or @t182 (not @t185)))) % 17.41/17.67 (step @p238 :rule chain_m_resolution :premises (@p237 @p235) :args (@t182 @t109 (@list @t185))) % 17.41/17.67 (step @p239 :rule eq-symm :args (@t87 @t89)) % 17.41/17.67 (step @p240 :rule refl :args (@t193)) % 17.41/17.67 (step @p241 :rule nary_cong :premises (@p240 @p239) :args (@t194)) % 17.41/17.67 (step @p242 :rule refl :args (@t182)) % 17.41/17.67 (step @p243 :rule cong :premises (@p242 @p241) :args ((=> @t182 @t194))) % 17.41/17.67 (assume-push @p349 @t182) % 17.41/17.67 (step @p245 :rule instantiate :premises (@p238) :args ((@list @t86))) % 17.41/17.67 (step-pop @p350 :rule scope :premises (@p245)) % 17.41/17.67 (step @p246 :rule process_scope :premises (@p350) :args (@t194)) % 17.41/17.67 (step @p248 :rule eq_resolve :premises (@p246 @p243)) % 17.41/17.67 (step @p249 :rule implies_elim :premises (@p248)) % 17.41/17.67 (step @p250 :rule chain_m_resolution :premises (@p249 @p238) :args (@t195 @t109 (@list @t182))) % 17.41/17.67 (step @p251 :rule cnf_or_neg :args (@t96 3)) % 17.41/17.67 (step @p252 :rule chain_m_resolution :premises (@p251 @p55) :args (@t196 @t97 @t98)) % 17.41/17.67 (step @p253 :rule cnf_or_pos :args (@t195)) % 17.41/17.67 (step @p254 :rule reordering :premises (@p253) :args ((or @t90 @t193 (not @t195)))) % 17.41/17.67 (step @p255 :rule chain_m_resolution :premises (@p254 @p252 @p250) :args (@t193 @t197 (@list @t90 @t195))) % 17.41/17.67 (step @p256 :rule bool-eq-true :args (@t198)) % 17.41/17.67 (step @p257 :rule eq-refl :args (@t87)) % 17.41/17.67 (step @p258 :rule refl :args (@t198)) % 17.41/17.67 (step @p259 :rule cong :premises (@p258 @p257) :args ((= @t198 @t199))) % 17.41/17.67 (step @p260 :rule trans :premises (@p259 @p256)) % 17.41/17.67 (step @p261 :rule eq-symm :args (@t199 @t198)) % 17.41/17.67 (step @p262 :rule trans :premises (@p261 @p260)) % 17.41/17.67 (step @p263 :rule refl :args (@t200)) % 17.41/17.67 (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t201)) % 17.41/17.67 (step @p265 :rule refl :args (@t202)) % 17.41/17.67 (step @p266 :rule nary_cong :premises (@p265 @p264) :args (@t203)) % 17.41/17.67 (step @p267 :rule nary_cong :premises (@p222 @p221 @p266) :args (@t204)) % 17.41/17.67 (step @p268 :rule cong :premises (@p156 @p267) :args ((=> @t118 @t204))) % 17.41/17.67 (assume-push @p351 @t118) % 17.41/17.67 (step @p270 :rule instantiate :premises (@p141) :args ((@list @t81 tptp.empty_set tptp.empty_set @t86 @t87))) % 17.41/17.67 (step-pop @p352 :rule scope :premises (@p270)) % 17.41/17.67 (step @p271 :rule process_scope :premises (@p352) :args (@t204)) % 17.41/17.67 (step @p273 :rule eq_resolve :premises (@p271 @p268)) % 17.41/17.67 (step @p274 :rule implies_elim :premises (@p273)) % 17.41/17.67 (step @p275 :rule chain_m_resolution :premises (@p274 @p141) :args (@t207 @t109 @t158)) % 17.41/17.67 (step @p276 :rule cnf_or_pos :args (@t207)) % 17.41/17.67 (step @p277 :rule reordering :premises (@p276) :args ((or @t95 @t94 @t206 (not @t207)))) % 17.41/17.67 (step @p278 :rule chain_m_resolution :premises (@p277 @p62 @p81 @p275) :args (@t206 @t108 (@list @t85 @t93 @t207))) % 17.41/17.67 (step @p279 :rule cnf_and_pos :args (@t206 1)) % 17.41/17.67 (step @p280 :rule reordering :premises (@p279) :args ((or @t205 (not @t206)))) % 17.41/17.67 (step @p281 :rule chain_m_resolution :premises (@p280 @p278) :args (@t205 @t109 (@list @t206))) % 17.41/17.67 (step @p282 :rule aci_norm :args ((= (or @t83 @t46) (or @t77 @t76 @t46)))) % 17.41/17.67 (step @p283 :rule refl :args (@t46)) % 17.41/17.67 (step @p284 :rule nary_cong :premises (@p47 @p283) :args ((or @t84 @t46))) % 17.41/17.67 (step @p285 :rule trans :premises (@p284 @p282)) % 17.41/17.67 (step @p286 :rule bool-impl-elim :args (@t49 @t46)) % 17.41/17.67 (step @p287 :rule trans :premises (@p286 @p285)) % 17.41/17.67 (step @p288 :rule cong :premises (@p287) :args (@t51)) % 17.41/17.67 (step @p289 :rule eq_resolve :premises (@p24 @p288)) % 17.41/17.67 (step @p290 :rule instantiate :premises (@p289) :args ((@list @t80 @t86 @t81))) % 17.41/17.67 (step @p291 :rule cnf_or_pos :args (@t210)) % 17.41/17.67 (step @p292 :rule reordering :premises (@p291) :args ((or @t95 @t94 @t209 (not @t210)))) % 17.41/17.67 (step @p293 :rule chain_m_resolution :premises (@p292 @p62 @p81 @p290) :args (@t209 @t108 (@list @t85 @t93 @t210))) % 17.41/17.67 (step @p294 :rule cnf_equiv_pos2 :args (@t209)) % 17.41/17.67 (step @p295 :rule reordering :premises (@p294) :args ((or @t147 @t211 (not @t209)))) % 17.41/17.67 (step @p296 :rule chain_m_resolution :premises (@p295 @p255 @p293) :args (@t211 @t197 (@list @t147 @t209))) % 17.41/17.67 (step @p297 :rule bool-double-not-elim :args (@t91)) % 17.41/17.67 (step @p298 :rule nary_cong :premises (@p57 @p297) :args ((or @t96 (not @t92)))) % 17.41/17.67 (step @p299 :rule cnf_or_neg :args (@t96 2)) % 17.41/17.67 (step @p300 :rule eq_resolve :premises (@p299 @p298)) % 17.41/17.67 (step @p301 :rule reordering :premises (@p300) :args ((or @t91 @t96))) % 17.41/17.67 (step @p302 :rule chain_m_resolution :premises (@p301 @p55) :args (@t91 @t97 @t98)) % 17.41/17.67 (step @p303 :rule cnf_and_neg :args (@t208)) % 17.41/17.67 (step @p304 :rule reordering :premises (@p303) :args ((or @t92 @t212 @t208))) % 17.41/17.67 (step @p305 :rule chain_m_resolution :premises (@p304 @p302 @p296) :args (@t212 (@list false true) (@list @t91 @t208))) % 17.41/17.67 (step @p306 :rule cnf_or_pos :args (@t205)) % 17.41/17.67 (step @p307 :rule reordering :premises (@p306) :args ((or @t198 @t200 (not @t205)))) % 17.41/17.67 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p281) :args (@t198 @t197 (@list @t200 @t205))) % 17.41/17.67 (step @p309 :rule refl :args (@t213)) % 17.41/17.67 (step @p310 :rule refl :args (@t214)) % 17.41/17.67 (step @p311 :rule bool-double-not-elim :args (@t90)) % 17.41/17.67 (step @p312 :rule nary_cong :premises (@p311 @p310 @p309) :args ((or (not @t196) @t214 @t213))) % 17.41/17.67 (assume-push @p353 @t196) % 17.41/17.67 (assume-push @p354 @t144) % 17.41/17.67 (assume-push @p355 @t196) % 17.41/17.67 (assume-push @p356 @t144) % 17.41/17.67 (step @p317 :rule false_intro :premises (@p252)) % 17.41/17.67 (step @p318 :rule refl :args (@t87)) % 17.41/17.67 (step @p319 :rule cong :premises (@p354 @p318) :args (@t198)) % 17.41/17.67 (step @p320 :rule trans :premises (@p319 @p317)) % 17.41/17.67 (step @p321 :rule false_elim :premises (@p320)) % 17.41/17.67 (step-pop @p357 :rule scope :premises (@p321)) % 17.41/17.67 (step-pop @p358 :rule scope :premises (@p357)) % 17.41/17.67 (step @p322 :rule process_scope :premises (@p358) :args (@t213)) % 17.41/17.67 (step @p325 :rule and_intro :premises (@p252 @p354)) % 17.41/17.67 (step @p326 :rule modus_ponens :premises (@p325 @p322)) % 17.41/17.67 (step-pop @p359 :rule scope :premises (@p326)) % 17.41/17.67 (step-pop @p360 :rule scope :premises (@p359)) % 17.41/17.67 (step @p327 :rule process_scope :premises (@p360) :args (@t213)) % 17.41/17.67 (step @p330 :rule implies_elim :premises (@p327)) % 17.41/17.67 (step @p331 :rule cnf_and_neg :args (@t215)) % 17.41/17.67 (step @p332 :rule resolution :premises (@p331 @p330) :args (true @t215)) % 17.41/17.67 (step @p333 :rule eq_resolve :premises (@p332 @p312)) % 17.41/17.67 (step @p334 :rule reordering :premises (@p333) :args ((or @t90 @t213 @t214))) % 17.41/17.67 (step @p335 :rule chain_m_resolution :premises (@p334 @p252 @p308) :args (@t214 @t197 (@list @t90 @t198))) % 17.41/17.67 (step @p336 :rule cnf_or_pos :args (@t155)) % 17.41/17.67 (step @p337 :rule reordering :premises (@p336) :args ((or @t144 @t147 @t216))) % 17.41/17.67 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p255) :args (@t216 (@list true true) (@list @t144 @t147))) % 17.41/17.67 (step @p339 :rule cnf_and_pos :args (@t156 1)) % 17.41/17.67 (step @p340 :rule reordering :premises (@p339) :args ((or @t155 @t217))) % 17.41/17.67 (step @p341 :rule chain_m_resolution :premises (@p340 @p338) :args (@t217 @t97 (@list @t155))) % 17.41/17.67 (step @p342 :rule cnf_or_pos :args (@t157)) % 17.41/17.67 (step @p343 :rule reordering :premises (@p342) :args ((or @t152 @t153 @t156 (not @t157)))) % 17.41/17.67 (step @p344 false :rule chain_m_resolution :premises (@p343 @p341 @p164 @p87 @p65) :args (false (@list true false false false) (@list @t156 @t157 @t105 @t99))) % 17.41/17.67 ) % 17.41/17.67 % SZS output end Proof % 17.41/17.67 % cvc5 exiting %------------------------------------------------------------------------------