%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU259+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 : n017.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 08:51:09 AM UTC 2026 % Result : Theorem 33.99s 34.25s % Output : Proof 33.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU259+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:47:16 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.99/34.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.99/34.25 --- Run --no-e-matching --full-saturate-quant at 6... % 33.99/34.25 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.99/34.25 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.99/34.25 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.99/34.25 % SZS status Theorem % 33.99/34.25 % SZS output start Proof % 33.99/34.25 ( % 33.99/34.25 (declare-sort $$unsorted 0) % 33.99/34.25 (declare-const tptp.empty_set $$unsorted) % 33.99/34.25 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 33.99/34.25 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 33.99/34.25 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 33.99/34.25 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.99/34.25 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 33.99/34.25 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 33.99/34.25 (declare-const tptp.function (-> $$unsorted Bool)) % 33.99/34.25 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 33.99/34.25 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.99/34.25 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.99/34.25 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.99/34.25 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.99/34.25 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 33.99/34.25 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 33.99/34.25 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.99/34.25 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 33.99/34.25 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 33.99/34.25 (define @t1 () (@var "A" $$unsorted)) % 33.99/34.25 (define @t2 () (@var "B" $$unsorted)) % 33.99/34.25 (define @t3 () (tptp.in @t1 @t2)) % 33.99/34.25 (define @t4 () (@list @t1 @t2)) % 33.99/34.25 (define @t5 () (tptp.function @t1)) % 33.99/34.25 (define @t6 () (tptp.empty @t1)) % 33.99/34.25 (define @t7 () (@list @t1)) % 33.99/34.25 (define @t8 () (tptp.one_to_one @t1)) % 33.99/34.25 (define @t9 () (tptp.relation @t1)) % 33.99/34.25 (define @t10 () (and @t9 @t5 @t8)) % 33.99/34.25 (define @t11 () (and @t9 @t6 @t5)) % 33.99/34.25 (define @t12 () (tptp.unordered_pair @t1 @t2)) % 33.99/34.25 (define @t13 () (tptp.set_union2 @t2 @t1)) % 33.99/34.25 (define @t14 () (tptp.set_union2 @t1 @t2)) % 33.99/34.25 (define @t15 () (@var "D" $$unsorted)) % 33.99/34.25 (define @t16 () (@var "C" $$unsorted)) % 33.99/34.25 (define @t17 () (= @t16 (tptp.apply @t1 @t15))) % 33.99/34.25 (define @t18 () (tptp.relation_dom @t1)) % 33.99/34.25 (define @t19 () (tptp.in @t15 @t18)) % 33.99/34.25 (define @t20 () (and @t19 @t17)) % 33.99/34.25 (define @t21 () (@list @t15)) % 33.99/34.25 (define @t22 () (exists @t21 @t20)) % 33.99/34.25 (define @t23 () (tptp.in @t16 @t2)) % 33.99/34.25 (define @t24 () (= @t23 @t22)) % 33.99/34.25 (define @t25 () (@list @t16)) % 33.99/34.25 (define @t26 () (forall @t25 @t24)) % 33.99/34.25 (define @t27 () (tptp.relation_rng @t1)) % 33.99/34.25 (define @t28 () (= @t2 @t27)) % 33.99/34.25 (define @t29 () (= @t28 @t26)) % 33.99/34.25 (define @t30 () (@list @t2)) % 33.99/34.25 (define @t31 () (forall @t30 @t29)) % 33.99/34.25 (define @t32 () (and @t9 @t5)) % 33.99/34.25 (define @t33 () (=> @t32 @t31)) % 33.99/34.25 (define @t34 () (forall @t7 @t33)) % 33.99/34.25 (define @t35 () (tptp.ordered_pair @t1 @t2)) % 33.99/34.25 (define @t36 () (tptp.relation_field @t1)) % 33.99/34.25 (define @t37 () (@var "E" $$unsorted)) % 33.99/34.25 (define @t38 () (tptp.in @t37 @t36)) % 33.99/34.25 (define @t39 () (tptp.in @t15 @t36)) % 33.99/34.25 (define @t40 () (tptp.ordered_pair @t15 @t37)) % 33.99/34.25 (define @t41 () (tptp.in @t40 @t1)) % 33.99/34.25 (define @t42 () (@list @t15 @t37)) % 33.99/34.25 (define @t43 () (forall @t42 (= @t41 (and @t39 @t38 (tptp.in (tptp.ordered_pair (tptp.apply @t16 @t15) (tptp.apply @t16 @t37)) @t2))))) % 33.99/34.25 (define @t44 () (tptp.one_to_one @t16)) % 33.99/34.25 (define @t45 () (tptp.relation_field @t2)) % 33.99/34.25 (define @t46 () (= (tptp.relation_rng @t16) @t45)) % 33.99/34.25 (define @t47 () (tptp.relation_dom @t16)) % 33.99/34.25 (define @t48 () (and (= @t47 @t36) @t46 @t44 @t43)) % 33.99/34.25 (define @t49 () (tptp.relation_isomorphism @t1 @t2 @t16)) % 33.99/34.25 (define @t50 () (= @t49 @t48)) % 33.99/34.25 (define @t51 () (tptp.function @t16)) % 33.99/34.25 (define @t52 () (tptp.relation @t16)) % 33.99/34.25 (define @t53 () (and @t52 @t51)) % 33.99/34.25 (define @t54 () (=> @t53 @t50)) % 33.99/34.25 (define @t55 () (forall @t25 @t54)) % 33.99/34.25 (define @t56 () (tptp.relation @t2)) % 33.99/34.25 (define @t57 () (=> @t56 @t55)) % 33.99/34.25 (define @t58 () (forall @t30 @t57)) % 33.99/34.25 (define @t59 () (=> @t9 @t58)) % 33.99/34.25 (define @t60 () (forall @t7 @t59)) % 33.99/34.25 (define @t61 () (tptp.function_inverse @t1)) % 33.99/34.25 (define @t62 () (and (tptp.relation @t61) (tptp.function @t61))) % 33.99/34.25 (define @t63 () (forall @t7 (=> @t32 @t62))) % 33.99/34.25 (define @t64 () (tptp.relation_composition @t1 @t2)) % 33.99/34.25 (define @t65 () (tptp.relation @t64)) % 33.99/34.25 (define @t66 () (tptp.function @t2)) % 33.99/34.25 (define @t67 () (not @t6)) % 33.99/34.25 (define @t68 () (tptp.element @t1 @t2)) % 33.99/34.25 (define @t69 () (tptp.empty @t2)) % 33.99/34.25 (define @t70 () (tptp.relation_field @t16)) % 33.99/34.25 (define @t71 () (and (tptp.in @t1 @t70) (tptp.in @t2 @t70))) % 33.99/34.25 (define @t72 () (tptp.in @t35 @t16)) % 33.99/34.25 (define @t73 () (=> @t72 @t71)) % 33.99/34.25 (define @t74 () (forall (@list @t1 @t2 @t16) (=> @t52 @t73))) % 33.99/34.25 (define @t75 () (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t16))) % 33.99/34.25 (define @t76 () (=> @t49 @t75)) % 33.99/34.25 (define @t77 () (forall @t25 (=> @t53 @t76))) % 33.99/34.25 (define @t78 () (=> @t56 @t77)) % 33.99/34.25 (define @t79 () (forall @t30 @t78)) % 33.99/34.25 (define @t80 () (=> @t9 @t79)) % 33.99/34.25 (define @t81 () (forall @t7 @t80)) % 33.99/34.25 (define @t82 () (not @t81)) % 33.99/34.25 (define @t83 () (and (= @t27 (tptp.relation_dom @t61)) (= @t18 (tptp.relation_rng @t61)))) % 33.99/34.25 (define @t84 () (=> @t8 @t83)) % 33.99/34.25 (define @t85 () (forall @t7 (=> @t32 @t84))) % 33.99/34.25 (define @t86 () (tptp.function_inverse @t2)) % 33.99/34.25 (define @t87 () (and (= @t1 (tptp.apply @t2 (tptp.apply @t86 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t86 @t2) @t1)))) % 33.99/34.25 (define @t88 () (tptp.in @t1 (tptp.relation_rng @t2))) % 33.99/34.25 (define @t89 () (tptp.one_to_one @t2)) % 33.99/34.25 (define @t90 () (and @t89 @t88)) % 33.99/34.25 (define @t91 () (=> @t90 @t87)) % 33.99/34.25 (define @t92 () (and @t56 @t66)) % 33.99/34.25 (define @t93 () (forall @t4 (=> @t92 @t91))) % 33.99/34.25 (define @t94 () (tptp.one_to_one @t61)) % 33.99/34.25 (define @t95 () (=> @t8 @t94)) % 33.99/34.25 (define @t96 () (forall @t7 (=> @t32 @t95))) % 33.99/34.25 (define @t97 () (not @t88)) % 33.99/34.25 (define @t98 () (not @t89)) % 33.99/34.25 (define @t99 () (not @t66)) % 33.99/34.25 (define @t100 () (not @t56)) % 33.99/34.25 (define @t101 () (or @t98 @t97 @t87)) % 33.99/34.25 (define @t102 () (@var "BOUND_VARIABLE_7866" $$unsorted)) % 33.99/34.25 (define @t103 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 33.99/34.25 (define @t104 () (tptp.relation_isomorphism @t103 @t1 (tptp.function_inverse @t102))) % 33.99/34.25 (define @t105 () (not (tptp.relation_isomorphism @t1 @t103 @t102))) % 33.99/34.25 (define @t106 () (not (tptp.function @t102))) % 33.99/34.25 (define @t107 () (not (tptp.relation @t102))) % 33.99/34.25 (define @t108 () (not (tptp.relation @t103))) % 33.99/34.25 (define @t109 () (not @t9)) % 33.99/34.25 (define @t110 () (or @t109 @t108 @t107 @t106 @t105 @t104)) % 33.99/34.25 (define @t111 () (@list @t1 @t103 @t102)) % 33.99/34.25 (define @t112 () (forall @t111 @t110)) % 33.99/34.25 (define @t113 () (@quantifiers_skolemize @t112 2)) % 33.99/34.25 (define @t114 () (@quantifiers_skolemize @t112 0)) % 33.99/34.25 (define @t115 () (tptp.function_inverse @t113)) % 33.99/34.25 (define @t116 () (tptp.apply @t115 @t15)) % 33.99/34.25 (define @t117 () (@quantifiers_skolemize @t112 1)) % 33.99/34.25 (define @t118 () (tptp.relation_field @t117)) % 33.99/34.25 (define @t119 () (forall @t42 (= (tptp.in @t40 @t117) (and (tptp.in @t15 @t118) (tptp.in @t37 @t118) (tptp.in (tptp.ordered_pair @t116 (tptp.apply @t115 @t37)) @t114))))) % 33.99/34.25 (define @t120 () (@quantifiers_skolemize @t119 1)) % 33.99/34.25 (define @t121 () (not @t72)) % 33.99/34.25 (define @t122 () (not @t52)) % 33.99/34.25 (define @t123 () (@quantifiers_skolemize @t119 0)) % 33.99/34.25 (define @t124 () (not @t8)) % 33.99/34.25 (define @t125 () (not @t5)) % 33.99/34.25 (define @t126 () (or @t109 @t125)) % 33.99/34.25 (define @t127 () (not @t32)) % 33.99/34.25 (define @t128 () (@list @t113)) % 33.99/34.25 (define @t129 () (@var "BOUND_VARIABLE_7732" $$unsorted)) % 33.99/34.25 (define @t130 () (@var "BOUND_VARIABLE_7734" $$unsorted)) % 33.99/34.25 (define @t131 () (= (tptp.relation_isomorphism @t1 @t129 @t130) (and (= @t36 (tptp.relation_dom @t130)) (= (tptp.relation_field @t129) (tptp.relation_rng @t130)) (tptp.one_to_one @t130) (forall @t42 (= @t41 (and @t39 @t38 (tptp.in (tptp.ordered_pair (tptp.apply @t130 @t15) (tptp.apply @t130 @t37)) @t129))))))) % 33.99/34.25 (define @t132 () (not (tptp.function @t130))) % 33.99/34.25 (define @t133 () (not (tptp.relation @t130))) % 33.99/34.25 (define @t134 () (not (tptp.relation @t129))) % 33.99/34.25 (define @t135 () (or @t134 @t133 @t132 @t131)) % 33.99/34.25 (define @t136 () (or @t109 @t135)) % 33.99/34.25 (define @t137 () (forall (@list @t1 @t129 @t130) @t136)) % 33.99/34.25 (define @t138 () (@list @t129 @t130)) % 33.99/34.25 (define @t139 () (forall @t138 @t136)) % 33.99/34.25 (define @t140 () (forall @t138 @t135)) % 33.99/34.25 (define @t141 () (@var "BOUND_VARIABLE_7697" $$unsorted)) % 33.99/34.25 (define @t142 () (or @t109 @t140)) % 33.99/34.25 (define @t143 () (forall @t42 (= @t41 (and @t39 @t38 (tptp.in (tptp.ordered_pair (tptp.apply @t141 @t15) (tptp.apply @t141 @t37)) @t2))))) % 33.99/34.25 (define @t144 () (tptp.one_to_one @t141)) % 33.99/34.25 (define @t145 () (tptp.relation_rng @t141)) % 33.99/34.25 (define @t146 () (= @t36 (tptp.relation_dom @t141))) % 33.99/34.25 (define @t147 () (tptp.relation_isomorphism @t1 @t2 @t141)) % 33.99/34.25 (define @t148 () (not (tptp.function @t141))) % 33.99/34.25 (define @t149 () (not (tptp.relation @t141))) % 33.99/34.25 (define @t150 () (@list @t2 @t141)) % 33.99/34.25 (define @t151 () (forall @t150 (or @t100 @t149 @t148 (= @t147 (and @t146 (= @t45 @t145) @t144 @t143))))) % 33.99/34.25 (define @t152 () (and @t146 (= @t145 @t45) @t144 @t143)) % 33.99/34.25 (define @t153 () (= @t147 @t152)) % 33.99/34.25 (define @t154 () (or @t100 @t149 @t148 @t153)) % 33.99/34.25 (define @t155 () (or @t149 @t148 @t153)) % 33.99/34.25 (define @t156 () (or @t100 @t155)) % 33.99/34.25 (define @t157 () (forall @t150 @t156)) % 33.99/34.25 (define @t158 () (@list @t141)) % 33.99/34.25 (define @t159 () (forall @t158 @t156)) % 33.99/34.25 (define @t160 () (forall @t158 @t155)) % 33.99/34.25 (define @t161 () (@list @t16)) % 33.99/34.25 (define @t162 () (or @t100 @t160)) % 33.99/34.25 (define @t163 () (= @t49 (and (= @t36 @t47) @t46 @t44 @t43))) % 33.99/34.25 (define @t164 () (not @t51)) % 33.99/34.25 (define @t165 () (or @t122 @t164 @t163)) % 33.99/34.25 (define @t166 () (forall @t25 @t165)) % 33.99/34.25 (define @t167 () (or @t122 @t164)) % 33.99/34.25 (define @t168 () (not @t53)) % 33.99/34.25 (define @t169 () (or @t108 @t107 @t106 @t105 @t104)) % 33.99/34.25 (define @t170 () (or @t109 @t169)) % 33.99/34.25 (define @t171 () (forall @t111 @t170)) % 33.99/34.25 (define @t172 () (@list @t103 @t102)) % 33.99/34.25 (define @t173 () (forall @t172 @t170)) % 33.99/34.25 (define @t174 () (forall @t172 @t169)) % 33.99/34.25 (define @t175 () (@var "BOUND_VARIABLE_7844" $$unsorted)) % 33.99/34.25 (define @t176 () (or @t109 @t174)) % 33.99/34.25 (define @t177 () (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t175))) % 33.99/34.25 (define @t178 () (not (tptp.relation_isomorphism @t1 @t2 @t175))) % 33.99/34.25 (define @t179 () (not (tptp.function @t175))) % 33.99/34.25 (define @t180 () (not (tptp.relation @t175))) % 33.99/34.25 (define @t181 () (or @t100 @t180 @t179 @t178 @t177)) % 33.99/34.25 (define @t182 () (@list @t2 @t175)) % 33.99/34.25 (define @t183 () (forall @t182 @t181)) % 33.99/34.25 (define @t184 () (or @t180 @t179 @t178 @t177)) % 33.99/34.25 (define @t185 () (or @t100 @t184)) % 33.99/34.25 (define @t186 () (forall @t182 @t185)) % 33.99/34.25 (define @t187 () (@list @t175)) % 33.99/34.25 (define @t188 () (forall @t187 @t185)) % 33.99/34.25 (define @t189 () (forall @t187 @t184)) % 33.99/34.25 (define @t190 () (or @t100 @t189)) % 33.99/34.25 (define @t191 () (not @t49)) % 33.99/34.25 (define @t192 () (or @t122 @t164 @t191 @t75)) % 33.99/34.25 (define @t193 () (forall @t25 @t192)) % 33.99/34.25 (define @t194 () (tptp.function @t113)) % 33.99/34.25 (define @t195 () (tptp.relation_isomorphism @t117 @t114 @t115)) % 33.99/34.25 (define @t196 () (tptp.relation_isomorphism @t114 @t117 @t113)) % 33.99/34.25 (define @t197 () (not @t196)) % 33.99/34.25 (define @t198 () (not @t194)) % 33.99/34.25 (define @t199 () (tptp.relation @t113)) % 33.99/34.25 (define @t200 () (not @t199)) % 33.99/34.25 (define @t201 () (tptp.relation @t117)) % 33.99/34.25 (define @t202 () (not @t201)) % 33.99/34.25 (define @t203 () (tptp.relation @t114)) % 33.99/34.25 (define @t204 () (not @t203)) % 33.99/34.25 (define @t205 () (or @t204 @t202 @t200 @t198 @t197 @t195)) % 33.99/34.25 (define @t206 () (@list true)) % 33.99/34.25 (define @t207 () (@list @t205)) % 33.99/34.25 (define @t208 () (tptp.relation_field @t114)) % 33.99/34.25 (define @t209 () (forall @t42 (= (tptp.in @t40 @t114) (and (tptp.in @t15 @t208) (tptp.in @t37 @t208) (tptp.in (tptp.ordered_pair (tptp.apply @t113 @t15) (tptp.apply @t113 @t37)) @t117))))) % 33.99/34.25 (define @t210 () (tptp.one_to_one @t113)) % 33.99/34.25 (define @t211 () (tptp.relation_rng @t113)) % 33.99/34.25 (define @t212 () (= @t118 @t211)) % 33.99/34.25 (define @t213 () (tptp.relation_dom @t113)) % 33.99/34.25 (define @t214 () (= @t208 @t213)) % 33.99/34.25 (define @t215 () (and @t214 @t212 @t210 @t209)) % 33.99/34.25 (define @t216 () (= @t196 @t215)) % 33.99/34.25 (define @t217 () (or @t204 @t202 @t200 @t198 @t216)) % 33.99/34.25 (define @t218 () (@list false false false false false)) % 33.99/34.25 (define @t219 () (@list false false)) % 33.99/34.25 (define @t220 () (not @t215)) % 33.99/34.25 (define @t221 () (@list false)) % 33.99/34.25 (define @t222 () (@list @t215)) % 33.99/34.25 (define @t223 () (tptp.one_to_one @t115)) % 33.99/34.25 (define @t224 () (not @t210)) % 33.99/34.25 (define @t225 () (or @t200 @t198 @t224 @t223)) % 33.99/34.25 (define @t226 () (@list false false false false)) % 33.99/34.25 (define @t227 () (tptp.relation_rng @t115)) % 33.99/34.25 (define @t228 () (= @t213 @t227)) % 33.99/34.25 (define @t229 () (tptp.relation_dom @t115)) % 33.99/34.25 (define @t230 () (= @t211 @t229)) % 33.99/34.25 (define @t231 () (and @t230 @t228)) % 33.99/34.25 (define @t232 () (or @t200 @t198 @t224 @t231)) % 33.99/34.25 (define @t233 () (not @t231)) % 33.99/34.25 (define @t234 () (@list @t231)) % 33.99/34.25 (define @t235 () (tptp.function @t115)) % 33.99/34.25 (define @t236 () (tptp.relation @t115)) % 33.99/34.25 (define @t237 () (and @t236 @t235)) % 33.99/34.25 (define @t238 () (or @t200 @t198 @t237)) % 33.99/34.25 (define @t239 () (@list false false false)) % 33.99/34.25 (define @t240 () (not @t237)) % 33.99/34.25 (define @t241 () (@list @t237)) % 33.99/34.25 (define @t242 () (= @t208 @t227)) % 33.99/34.25 (define @t243 () (= @t118 @t229)) % 33.99/34.25 (define @t244 () (and @t243 @t242 @t223 @t119)) % 33.99/34.25 (define @t245 () (= @t195 @t244)) % 33.99/34.25 (define @t246 () (not @t235)) % 33.99/34.25 (define @t247 () (not @t236)) % 33.99/34.25 (define @t248 () (or @t202 @t204 @t247 @t246 @t245)) % 33.99/34.25 (define @t249 () (not @t244)) % 33.99/34.25 (define @t250 () (@list true false)) % 33.99/34.25 (define @t251 () (tptp.apply @t115 @t120)) % 33.99/34.25 (define @t252 () (tptp.apply @t115 @t123)) % 33.99/34.25 (define @t253 () (tptp.in (tptp.ordered_pair @t252 @t251) @t114)) % 33.99/34.25 (define @t254 () (tptp.in @t120 @t118)) % 33.99/34.25 (define @t255 () (tptp.in @t123 @t118)) % 33.99/34.25 (define @t256 () (and @t255 @t254 @t253)) % 33.99/34.25 (define @t257 () (tptp.in (tptp.ordered_pair @t123 @t120) @t117)) % 33.99/34.25 (define @t258 () (= @t257 @t256)) % 33.99/34.25 (define @t259 () (not @t256)) % 33.99/34.25 (define @t260 () (tptp.in @t123 @t211)) % 33.99/34.25 (define @t261 () (and @t212 @t255)) % 33.99/34.25 (define @t262 () (tptp.in @t120 @t211)) % 33.99/34.25 (define @t263 () (and @t212 @t254)) % 33.99/34.25 (define @t264 () (tptp.apply @t113 @t251)) % 33.99/34.25 (define @t265 () (tptp.apply @t113 @t252)) % 33.99/34.25 (define @t266 () (tptp.ordered_pair @t265 @t264)) % 33.99/34.25 (define @t267 () (tptp.in @t266 @t117)) % 33.99/34.25 (define @t268 () (tptp.in @t251 @t208)) % 33.99/34.25 (define @t269 () (tptp.in @t252 @t208)) % 33.99/34.25 (define @t270 () (and @t269 @t268 @t267)) % 33.99/34.25 (define @t271 () (= @t253 @t270)) % 33.99/34.25 (define @t272 () (not @t271)) % 33.99/34.25 (define @t273 () (not @t253)) % 33.99/34.25 (define @t274 () (tptp.relation_composition @t115 @t113)) % 33.99/34.25 (define @t275 () (= @t123 @t265)) % 33.99/34.25 (define @t276 () (and @t275 (= @t123 (tptp.apply @t274 @t123)))) % 33.99/34.25 (define @t277 () (not @t260)) % 33.99/34.25 (define @t278 () (or @t200 @t198 @t224 @t277 @t276)) % 33.99/34.25 (define @t279 () (= @t120 @t264)) % 33.99/34.25 (define @t280 () (and @t279 (= @t120 (tptp.apply @t274 @t120)))) % 33.99/34.25 (define @t281 () (not @t262)) % 33.99/34.25 (define @t282 () (or @t200 @t198 @t224 @t281 @t280)) % 33.99/34.25 (define @t283 () (not @t270)) % 33.99/34.25 (define @t284 () (not @t267)) % 33.99/34.25 (define @t285 () (not @t279)) % 33.99/34.25 (define @t286 () (not @t275)) % 33.99/34.25 (define @t287 () (not @t257)) % 33.99/34.25 (define @t288 () (and @t255 @t254)) % 33.99/34.25 (define @t289 () (or @t202 @t287 @t288)) % 33.99/34.25 (define @t290 () (not @t288)) % 33.99/34.25 (define @t291 () (@list @t288)) % 33.99/34.25 (define @t292 () (and @t257 @t275 @t279)) % 33.99/34.25 (define @t293 () (@var "BOUND_VARIABLE_7661" $$unsorted)) % 33.99/34.25 (define @t294 () (tptp.in @t16 @t293)) % 33.99/34.25 (define @t295 () (not (forall @t21 (or (not @t19) (not @t17))))) % 33.99/34.25 (define @t296 () (forall @t25 (= @t294 @t295))) % 33.99/34.25 (define @t297 () (= (= @t293 @t27) @t296)) % 33.99/34.25 (define @t298 () (or @t109 @t125 @t297)) % 33.99/34.25 (define @t299 () (@list @t1 @t293)) % 33.99/34.25 (define @t300 () (forall @t299 @t298)) % 33.99/34.25 (define @t301 () (@list @t293)) % 33.99/34.25 (define @t302 () (forall @t301 @t298)) % 33.99/34.25 (define @t303 () (forall @t301 @t297)) % 33.99/34.25 (define @t304 () (or @t109 @t125 @t303)) % 33.99/34.25 (define @t305 () (forall @t30 (= @t28 (forall @t25 (= @t23 @t295))))) % 33.99/34.25 (define @t306 () (or @t109 @t125 @t305)) % 33.99/34.25 (define @t307 () (forall @t21 (not @t20))) % 33.99/34.25 (define @t308 () (not @t307)) % 33.99/34.25 (define @t309 () (not (tptp.in @t15 @t229))) % 33.99/34.25 (define @t310 () (forall @t25 (= (not (forall @t21 (or @t309 (not (= @t16 @t116))))) (tptp.in @t16 @t208)))) % 33.99/34.25 (define @t311 () (= (= @t227 @t208) @t310)) % 33.99/34.25 (define @t312 () (or @t247 @t246 @t311)) % 33.99/34.25 (define @t313 () (forall @t299 (or @t109 @t125 (= (= @t27 @t293) (forall @t25 (= @t295 @t294)))))) % 33.99/34.25 (define @t314 () (= @t242 @t310)) % 33.99/34.25 (define @t315 () (or @t247 @t246 @t314)) % 33.99/34.25 (define @t316 () (not (= @t252 @t116))) % 33.99/34.25 (define @t317 () (or @t309 @t316)) % 33.99/34.25 (define @t318 () (forall @t21 @t317)) % 33.99/34.25 (define @t319 () (not @t318)) % 33.99/34.25 (define @t320 () (= @t319 @t269)) % 33.99/34.25 (define @t321 () (forall @t21 (or @t309 (not (= @t116 @t252))))) % 33.99/34.25 (define @t322 () (not @t321)) % 33.99/34.25 (define @t323 () (= @t269 @t322)) % 33.99/34.25 (define @t324 () (@list @t310)) % 33.99/34.25 (define @t325 () (tptp.in @t123 @t229)) % 33.99/34.25 (define @t326 () (and @t212 @t230 @t255)) % 33.99/34.25 (define @t327 () (not @t325)) % 33.99/34.25 (define @t328 () (not (= @t252 @t252))) % 33.99/34.25 (define @t329 () (or @t327 @t328)) % 33.99/34.25 (define @t330 () (not @t323)) % 33.99/34.25 (define @t331 () (not (= @t251 @t116))) % 33.99/34.25 (define @t332 () (or @t309 @t331)) % 33.99/34.25 (define @t333 () (forall @t21 @t332)) % 33.99/34.25 (define @t334 () (not @t333)) % 33.99/34.25 (define @t335 () (= @t334 @t268)) % 33.99/34.25 (define @t336 () (forall @t21 (or @t309 (not (= @t116 @t251))))) % 33.99/34.25 (define @t337 () (not @t336)) % 33.99/34.25 (define @t338 () (= @t268 @t337)) % 33.99/34.25 (define @t339 () (tptp.in @t120 @t229)) % 33.99/34.25 (define @t340 () (and @t212 @t230 @t254)) % 33.99/34.25 (define @t341 () (not @t339)) % 33.99/34.25 (define @t342 () (not (= @t251 @t251))) % 33.99/34.25 (define @t343 () (or @t341 @t342)) % 33.99/34.25 (define @t344 () (not @t338)) % 33.99/34.25 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 33.99/34.25 (assume @p2 (forall @t7 (=> @t6 @t5))) % 33.99/34.25 (assume @p3 (forall @t7 (=> @t11 @t10))) % 33.99/34.25 (assume @p4 (forall @t4 (= @t12 (tptp.unordered_pair @t2 @t1)))) % 33.99/34.25 (assume @p5 (forall @t4 (= @t14 @t13))) % 33.99/34.25 (assume @p6 @t34) % 33.99/34.25 (assume @p7 (forall @t4 (= @t35 (tptp.unordered_pair @t12 (tptp.singleton @t1))))) % 33.99/34.25 (assume @p8 (forall @t7 (=> @t9 (= @t36 (tptp.set_union2 @t18 @t27))))) % 33.99/34.25 (assume @p9 @t60) % 33.99/34.25 (assume @p10 true) % 33.99/34.25 (assume @p11 @t63) % 33.99/34.25 (assume @p12 (forall @t4 (=> (and @t9 @t56) @t65))) % 33.99/34.25 (assume @p13 (forall @t7 (exists @t30 (tptp.element @t2 @t1)))) % 33.99/34.25 (assume @p14 (forall @t4 (=> (and @t9 @t5 @t56 @t66) (and @t65 (tptp.function @t64))))) % 33.99/34.25 (assume @p15 (tptp.empty tptp.empty_set)) % 33.99/34.25 (assume @p16 (forall @t4 (not (tptp.empty @t35)))) % 33.99/34.25 (assume @p17 (forall @t4 (=> @t67 (not (tptp.empty @t14))))) % 33.99/34.25 (assume @p18 (forall @t4 (=> @t67 (not (tptp.empty @t13))))) % 33.99/34.25 (assume @p19 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 33.99/34.25 (assume @p20 (exists @t7 @t32)) % 33.99/34.25 (assume @p21 (exists @t7 @t6)) % 33.99/34.25 (assume @p22 (exists @t7 @t11)) % 33.99/34.25 (assume @p23 (exists @t7 @t67)) % 33.99/34.25 (assume @p24 (exists @t7 @t10)) % 33.99/34.25 (assume @p25 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 33.99/34.25 (assume @p26 (forall @t4 (=> @t3 @t68))) % 33.99/34.25 (assume @p27 (forall @t4 (=> @t68 (or @t69 @t3)))) % 33.99/34.25 (assume @p28 @t74) % 33.99/34.25 (assume @p29 @t82) % 33.99/34.25 (assume @p30 @t85) % 33.99/34.25 (assume @p31 @t93) % 33.99/34.25 (assume @p32 @t96) % 33.99/34.25 (assume @p33 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 33.99/34.25 (assume @p34 (forall @t4 (not (and @t3 @t69)))) % 33.99/34.25 (assume @p35 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t69)))) % 33.99/34.25 (step @p36 :rule aci_norm :args ((= (or (or @t100 @t99) @t101) (or @t100 @t99 @t98 @t97 @t87)))) % 33.99/34.25 (step @p37 :rule aci_norm :args ((= (or (or @t98 @t97) @t87) @t101))) % 33.99/34.25 (step @p38 :rule refl :args (@t87)) % 33.99/34.25 (step @p39 :rule bool-and-de-morgan :args (@t89 @t88 true)) % 33.99/34.25 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t90) @t87))) % 33.99/34.25 (step @p41 :rule trans :premises (@p40 @p37)) % 33.99/34.25 (step @p42 :rule bool-impl-elim :args (@t90 @t87)) % 33.99/34.25 (step @p43 :rule trans :premises (@p42 @p41)) % 33.99/34.25 (step @p44 :rule bool-and-de-morgan :args (@t56 @t66 true)) % 33.99/34.25 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t92) @t91))) % 33.99/34.25 (step @p46 :rule trans :premises (@p45 @p36)) % 33.99/34.25 (step @p47 :rule bool-impl-elim :args (@t92 @t91)) % 33.99/34.25 (step @p48 :rule trans :premises (@p47 @p46)) % 33.99/34.25 (step @p49 :rule cong :premises (@p48) :args (@t93)) % 33.99/34.25 (step @p50 :rule eq_resolve :premises (@p31 @p49)) % 33.99/34.25 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t120 @t113))) % 33.99/34.25 (step @p52 :rule aci_norm :args ((= (or @t122 (or @t121 @t71)) (or @t122 @t121 @t71)))) % 33.99/34.25 (step @p53 :rule bool-impl-elim :args (@t72 @t71)) % 33.99/34.25 (step @p54 :rule refl :args (@t122)) % 33.99/34.25 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t122 @t73))) % 33.99/34.25 (step @p56 :rule trans :premises (@p55 @p52)) % 33.99/34.25 (step @p57 :rule bool-impl-elim :args (@t52 @t73)) % 33.99/34.25 (step @p58 :rule trans :premises (@p57 @p56)) % 33.99/34.25 (step @p59 :rule cong :premises (@p58) :args (@t74)) % 33.99/34.25 (step @p60 :rule eq_resolve :premises (@p28 @p59)) % 33.99/34.25 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t123 @t120 @t117))) % 33.99/34.25 (step @p62 :rule aci_norm :args ((= (or @t126 (or @t124 @t94)) (or @t109 @t125 @t124 @t94)))) % 33.99/34.25 (step @p63 :rule bool-impl-elim :args (@t8 @t94)) % 33.99/34.25 (step @p64 :rule bool-and-de-morgan :args (@t9 @t5 true)) % 33.99/34.25 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t127 @t95))) % 33.99/34.25 (step @p66 :rule trans :premises (@p65 @p62)) % 33.99/34.25 (step @p67 :rule bool-impl-elim :args (@t32 @t95)) % 33.99/34.25 (step @p68 :rule trans :premises (@p67 @p66)) % 33.99/34.25 (step @p69 :rule cong :premises (@p68) :args (@t96)) % 33.99/34.25 (step @p70 :rule eq_resolve :premises (@p32 @p69)) % 33.99/34.25 (step @p71 :rule instantiate :premises (@p70) :args (@t128)) % 33.99/34.25 (step @p72 :rule aci_norm :args ((= @t136 (or @t109 @t134 @t133 @t132 @t131)))) % 33.99/34.25 (step @p73 :rule cong :premises (@p72) :args (@t137)) % 33.99/34.25 (step @p74 :rule quant-merge-prenex :args ((= (forall @t7 @t139) @t137))) % 33.99/34.25 (step @p75 :rule alpha_equiv :args (@t140 (@list @t129 @t130) (@list @t2 @t141))) % 33.99/34.25 (step @p76 :rule refl :args (@t109)) % 33.99/34.25 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t142)) % 33.99/34.25 (step @p78 :rule quant-miniscope-or :args ((= @t139 @t142))) % 33.99/34.25 (step @p79 :rule trans :premises (@p78 @p77)) % 33.99/34.25 (step @p80 :rule symm :premises (@p79)) % 33.99/34.25 (step @p81 :rule cong :premises (@p80) :args ((forall @t7 (or @t109 @t151)))) % 33.99/34.25 (step @p82 :rule trans :premises (@p81 @p74)) % 33.99/34.25 (step @p83 :rule trans :premises (@p82 @p73)) % 33.99/34.25 (step @p84 :rule bool-impl-elim :args (@t9 @t151)) % 33.99/34.25 (step @p85 :rule cong :premises (@p84) :args ((forall @t7 (=> @t9 @t151)))) % 33.99/34.25 (step @p86 :rule trans :premises (@p85 @p83)) % 33.99/34.25 (step @p87 :rule refl :args (@t143)) % 33.99/34.25 (step @p88 :rule refl :args (@t144)) % 33.99/34.25 (step @p89 :rule eq-symm :args (@t145 @t45)) % 33.99/34.25 (step @p90 :rule refl :args (@t146)) % 33.99/34.25 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88 @p87) :args (@t152)) % 33.99/34.25 (step @p92 :rule refl :args (@t147)) % 33.99/34.25 (step @p93 :rule cong :premises (@p92 @p91) :args (@t153)) % 33.99/34.25 (step @p94 :rule refl :args (@t148)) % 33.99/34.25 (step @p95 :rule refl :args (@t149)) % 33.99/34.25 (step @p96 :rule refl :args (@t100)) % 33.99/34.25 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93) :args (@t154)) % 33.99/34.25 (step @p98 :rule aci_norm :args ((= @t156 @t154))) % 33.99/34.25 (step @p99 :rule trans :premises (@p98 @p97)) % 33.99/34.25 (step @p100 :rule cong :premises (@p99) :args (@t157)) % 33.99/34.25 (step @p101 :rule quant-merge-prenex :args ((= (forall @t30 @t159) @t157))) % 33.99/34.25 (step @p102 :rule alpha_equiv :args (@t160 (@list @t141) @t161)) % 33.99/34.25 (step @p103 :rule refl :args (@t100)) % 33.99/34.25 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t162)) % 33.99/34.25 (step @p105 :rule quant-miniscope-or :args ((= @t159 @t162))) % 33.99/34.25 (step @p106 :rule trans :premises (@p105 @p104)) % 33.99/34.25 (step @p107 :rule symm :premises (@p106)) % 33.99/34.25 (step @p108 :rule cong :premises (@p107) :args ((forall @t30 (or @t100 @t166)))) % 33.99/34.25 (step @p109 :rule trans :premises (@p108 @p101)) % 33.99/34.25 (step @p110 :rule trans :premises (@p109 @p100)) % 33.99/34.25 (step @p111 :rule bool-impl-elim :args (@t56 @t166)) % 33.99/34.25 (step @p112 :rule cong :premises (@p111) :args ((forall @t30 (=> @t56 @t166)))) % 33.99/34.25 (step @p113 :rule trans :premises (@p112 @p110)) % 33.99/34.25 (step @p114 :rule aci_norm :args ((= (or @t167 @t163) @t165))) % 33.99/34.25 (step @p115 :rule refl :args (@t163)) % 33.99/34.25 (step @p116 :rule bool-and-de-morgan :args (@t52 @t51 true)) % 33.99/34.25 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t168 @t163))) % 33.99/34.25 (step @p118 :rule trans :premises (@p117 @p114)) % 33.99/34.25 (step @p119 :rule bool-impl-elim :args (@t53 @t163)) % 33.99/34.25 (step @p120 :rule trans :premises (@p119 @p118)) % 33.99/34.25 (step @p121 :rule cong :premises (@p120) :args ((forall @t25 (=> @t53 @t163)))) % 33.99/34.25 (step @p122 :rule refl :args (@t43)) % 33.99/34.25 (step @p123 :rule refl :args (@t44)) % 33.99/34.25 (step @p124 :rule refl :args (@t46)) % 33.99/34.25 (step @p125 :rule eq-symm :args (@t47 @t36)) % 33.99/34.25 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122) :args (@t48)) % 33.99/34.25 (step @p127 :rule refl :args (@t49)) % 33.99/34.25 (step @p128 :rule cong :premises (@p127 @p126) :args (@t50)) % 33.99/34.25 (step @p129 :rule refl :args (@t53)) % 33.99/34.25 (step @p130 :rule cong :premises (@p129 @p128) :args (@t54)) % 33.99/34.25 (step @p131 :rule cong :premises (@p130) :args (@t55)) % 33.99/34.25 (step @p132 :rule trans :premises (@p131 @p121)) % 33.99/34.25 (step @p133 :rule refl :args (@t56)) % 33.99/34.25 (step @p134 :rule cong :premises (@p133 @p132) :args (@t57)) % 33.99/34.25 (step @p135 :rule cong :premises (@p134) :args (@t58)) % 33.99/34.25 (step @p136 :rule trans :premises (@p135 @p113)) % 33.99/34.25 (step @p137 :rule refl :args (@t9)) % 33.99/34.25 (step @p138 :rule cong :premises (@p137 @p136) :args (@t59)) % 33.99/34.25 (step @p139 :rule cong :premises (@p138) :args (@t60)) % 33.99/34.25 (step @p140 :rule trans :premises (@p139 @p86)) % 33.99/34.25 (step @p141 :rule eq_resolve :premises (@p9 @p140)) % 33.99/34.25 (step @p142 :rule instantiate :premises (@p141) :args ((@list @t114 @t117 @t113))) % 33.99/34.25 (step @p143 :rule aci_norm :args ((= @t170 @t110))) % 33.99/34.25 (step @p144 :rule cong :premises (@p143) :args (@t171)) % 33.99/34.25 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(@p566 @p565) :args ((= @t268 @t334))) % 33.99/34.25 (step @p568 :rule eq-symm :args (@t334 @t268)) % 33.99/34.25 (step @p569 :rule trans :premises (@p568 @p567)) % 33.99/34.25 (step @p570 :rule cong :premises (@p472 @p569) :args ((=> @t310 @t335))) % 33.99/34.25 (assume-push @p681 @t310) % 33.99/34.25 (step @p572 :rule instantiate :premises (@p492) :args ((@list @t251))) % 33.99/34.25 (step-pop @p682 :rule scope :premises (@p572)) % 33.99/34.25 (step @p573 :rule process_scope :premises (@p682) :args (@t335)) % 33.99/34.25 (step @p575 :rule eq_resolve :premises (@p573 @p570)) % 33.99/34.25 (step @p576 :rule implies_elim :premises (@p575)) % 33.99/34.25 (step @p577 :rule chain_m_resolution :premises (@p576 @p492) :args (@t338 @t221 @t324)) % 33.99/34.25 (assume-push @p683 @t212) % 33.99/34.25 (assume-push @p684 @t230) % 33.99/34.25 (assume-push @p685 @t254) % 33.99/34.25 (assume-push @p686 @t254) % 33.99/34.25 (assume-push @p687 @t212) % 33.99/34.25 (assume-push @p688 @t230) % 33.99/34.25 (step @p584 :rule true_intro :premises (@p685)) % 33.99/34.25 (step @p299 :rule symm :premises (@p254)) % 33.99/34.25 (step @p518 :rule symm :premises (@p251)) % 33.99/34.25 (step @p519 :rule trans :premises (@p518 @p299)) % 33.99/34.25 (step @p320 :rule refl :args (@t120)) % 33.99/34.25 (step @p585 :rule cong :premises (@p320 @p519) :args (@t339)) % 33.99/34.25 (step @p586 :rule trans :premises (@p585 @p584)) % 33.99/34.25 (step @p587 :rule true_elim :premises (@p586)) % 33.99/34.25 (step-pop @p689 :rule scope :premises (@p587)) % 33.99/34.25 (step-pop @p690 :rule scope :premises (@p689)) % 33.99/34.25 (step-pop @p691 :rule scope :premises (@p690)) % 33.99/34.25 (step @p588 :rule process_scope :premises (@p691) :args (@t339)) % 33.99/34.25 (step @p592 :rule and_intro :premises (@p685 @p254 @p251)) % 33.99/34.25 (step @p593 :rule modus_ponens :premises (@p592 @p588)) % 33.99/34.25 (step-pop @p692 :rule scope :premises (@p593)) % 33.99/34.25 (step-pop @p693 :rule scope :premises (@p692)) % 33.99/34.25 (step-pop @p694 :rule scope :premises (@p693)) % 33.99/34.25 (step @p594 :rule process_scope :premises (@p694) :args (@t339)) % 33.99/34.25 (step @p598 :rule implies_elim :premises (@p594)) % 33.99/34.25 (step @p599 :rule cnf_and_neg :args (@t340)) % 33.99/34.25 (step @p600 :rule resolution :premises (@p599 @p598) :args (true @t340)) % 33.99/34.25 (step @p601 :rule chain_m_resolution :premises (@p600 @p254 @p251 @p385) :args (@t339 @t239 (@list @t212 @t230 @t254))) % 33.99/34.25 (step @p602 :rule aci_norm :args ((= (or @t341 false) @t341))) % 33.99/34.25 (step @p603 :rule eq-refl :args (@t251)) % 33.99/34.25 (step @p604 :rule cong :premises (@p603) :args (@t342)) % 33.99/34.25 (step @p605 :rule trans :premises (@p604 @p538)) % 33.99/34.25 (step @p606 :rule refl :args (@t341)) % 33.99/34.25 (step @p607 :rule nary_cong :premises (@p606 @p605) :args (@t343)) % 33.99/34.25 (step @p608 :rule trans :premises (@p607 @p602)) % 33.99/34.25 (step @p609 :rule refl :args (@t336)) % 33.99/34.25 (step @p610 :rule cong :premises (@p609 @p608) :args ((=> @t336 @t343))) % 33.99/34.25 (assume-push @p695 @t336) % 33.99/34.25 (step @p612 :rule instantiate :premises (@p695) :args ((@list @t120))) % 33.99/34.25 (step-pop @p696 :rule scope :premises (@p612)) % 33.99/34.25 (step @p613 :rule process_scope :premises (@p696) :args (@t343)) % 33.99/34.25 (step @p615 :rule eq_resolve :premises (@p613 @p610)) % 33.99/34.25 (step @p616 :rule implies_elim :premises (@p615)) % 33.99/34.25 (step @p617 :rule chain_m_resolution :premises (@p616 @p601) :args (@t337 @t221 (@list @t339))) % 33.99/34.25 (step @p618 :rule bool-double-not-elim :args (@t336)) % 33.99/34.25 (step @p619 :rule refl :args (@t344)) % 33.99/34.25 (step @p620 :rule nary_cong :premises (@p619 @p566 @p618) :args ((or @t344 @t268 (not @t337)))) % 33.99/34.25 (step @p621 :rule cnf_equiv_pos2 :args (@t338)) % 33.99/34.25 (step @p622 :rule eq_resolve :premises (@p621 @p620)) % 33.99/34.25 (step @p623 :rule reordering :premises (@p622) :args ((or @t268 @t336 @t344))) % 33.99/34.25 (step @p624 :rule chain_m_resolution :premises (@p623 @p617 @p577) :args (@t268 @t250 (@list @t336 @t338))) % 33.99/34.25 (step @p625 :rule cnf_and_neg :args (@t270)) % 33.99/34.25 (step @p626 false :rule chain_m_resolution :premises (@p625 @p624 @p560 @p429 @p422) :args (false (@list false false true false) (@list @t268 @t269 @t270 @t267))) % 33.99/34.25 ) % 33.99/34.25 % SZS output end Proof % 33.99/34.25 % cvc5 exiting %------------------------------------------------------------------------------