%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU216+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 : n008.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 08:50:59 AM UTC 2026 % Result : Theorem 16.50s 16.76s % Output : Proof 16.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU216+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:41:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.50/16.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.50/16.76 --- Run --no-e-matching --full-saturate-quant at 6... % 16.50/16.76 % SZS status Theorem % 16.50/16.76 % SZS output start Proof % 16.50/16.76 ( % 16.50/16.76 (declare-sort $$unsorted 0) % 16.50/16.76 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.50/16.76 (declare-const tptp.function (-> $$unsorted Bool)) % 16.50/16.76 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.50/16.76 (declare-const tptp.empty_set $$unsorted) % 16.50/16.76 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.50/16.76 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 16.50/16.76 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 16.50/16.76 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.50/16.76 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 16.50/16.76 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 16.50/16.76 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 16.50/16.76 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 16.50/16.76 (declare-const tptp.relation (-> $$unsorted Bool)) % 16.50/16.76 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 16.50/16.76 (define @t1 () (@var "A" $$unsorted)) % 16.50/16.76 (define @t2 () (@var "B" $$unsorted)) % 16.50/16.76 (define @t3 () (tptp.in @t1 @t2)) % 16.50/16.76 (define @t4 () (@list @t1 @t2)) % 16.50/16.76 (define @t5 () (tptp.function @t1)) % 16.50/16.76 (define @t6 () (tptp.empty @t1)) % 16.50/16.76 (define @t7 () (@list @t1)) % 16.50/16.76 (define @t8 () (tptp.relation @t1)) % 16.50/16.76 (define @t9 () (tptp.unordered_pair @t1 @t2)) % 16.50/16.76 (define @t10 () (@var "D" $$unsorted)) % 16.50/16.76 (define @t11 () (@var "C" $$unsorted)) % 16.50/16.76 (define @t12 () (= @t11 @t10)) % 16.50/16.76 (define @t13 () (tptp.in @t11 @t1)) % 16.50/16.76 (define @t14 () (tptp.ordered_pair @t11 @t10)) % 16.50/16.76 (define @t15 () (@list @t11 @t10)) % 16.50/16.76 (define @t16 () (tptp.identity_relation @t1)) % 16.50/16.76 (define @t17 () (= @t2 @t16)) % 16.50/16.76 (define @t18 () (= @t17 (forall @t15 (= (tptp.in @t14 @t2) (and @t13 @t12))))) % 16.50/16.76 (define @t19 () (tptp.relation @t2)) % 16.50/16.76 (define @t20 () (forall @t4 (=> @t19 @t18))) % 16.50/16.76 (define @t21 () (= @t11 (tptp.apply @t1 @t2))) % 16.50/16.76 (define @t22 () (= @t21 (= @t11 tptp.empty_set))) % 16.50/16.76 (define @t23 () (tptp.relation_dom @t1)) % 16.50/16.76 (define @t24 () (tptp.in @t2 @t23)) % 16.50/16.76 (define @t25 () (not @t24)) % 16.50/16.76 (define @t26 () (= @t21 (tptp.in (tptp.ordered_pair @t2 @t11) @t1))) % 16.50/16.76 (define @t27 () (and (=> @t24 @t26) (=> @t25 @t22))) % 16.50/16.76 (define @t28 () (@list @t2 @t11)) % 16.50/16.76 (define @t29 () (forall @t28 @t27)) % 16.50/16.76 (define @t30 () (and @t8 @t5)) % 16.50/16.76 (define @t31 () (=> @t30 @t29)) % 16.50/16.76 (define @t32 () (forall @t7 @t31)) % 16.50/16.76 (define @t33 () (tptp.singleton @t1)) % 16.50/16.76 (define @t34 () (tptp.ordered_pair @t1 @t2)) % 16.50/16.76 (define @t35 () (tptp.relation @t16)) % 16.50/16.76 (define @t36 () (tptp.relation tptp.empty_set)) % 16.50/16.76 (define @t37 () (tptp.empty tptp.empty_set)) % 16.50/16.76 (define @t38 () (tptp.empty @t23)) % 16.50/16.76 (define @t39 () (not @t6)) % 16.50/16.76 (define @t40 () (and @t39 @t8)) % 16.50/16.76 (define @t41 () (tptp.relation_rng @t1)) % 16.50/16.76 (define @t42 () (tptp.empty @t41)) % 16.50/16.76 (define @t43 () (tptp.element @t1 @t2)) % 16.50/16.76 (define @t44 () (tptp.empty @t2)) % 16.50/16.76 (define @t45 () (tptp.apply @t2 @t11)) % 16.50/16.76 (define @t46 () (=> @t13 (= @t45 @t11))) % 16.50/16.76 (define @t47 () (@list @t11)) % 16.50/16.76 (define @t48 () (forall @t47 @t46)) % 16.50/16.76 (define @t49 () (tptp.relation_dom @t2)) % 16.50/16.76 (define @t50 () (and (= @t49 @t1) @t48)) % 16.50/16.76 (define @t51 () (= @t17 @t50)) % 16.50/16.76 (define @t52 () (tptp.function @t2)) % 16.50/16.76 (define @t53 () (and @t19 @t52)) % 16.50/16.76 (define @t54 () (=> @t53 @t51)) % 16.50/16.76 (define @t55 () (forall @t4 @t54)) % 16.50/16.76 (define @t56 () (not @t55)) % 16.50/16.76 (define @t57 () (tptp.relation_rng @t16)) % 16.50/16.76 (define @t58 () (tptp.relation_dom @t16)) % 16.50/16.76 (define @t59 () (and (= @t58 @t1) (= @t57 @t1))) % 16.50/16.76 (define @t60 () (forall @t7 @t59)) % 16.50/16.76 (define @t61 () (= (tptp.in @t34 @t11) (and (tptp.in @t1 (tptp.relation_dom @t11)) (= @t2 (tptp.apply @t11 @t1))))) % 16.50/16.76 (define @t62 () (tptp.function @t11)) % 16.50/16.76 (define @t63 () (tptp.relation @t11)) % 16.50/16.76 (define @t64 () (and @t63 @t62)) % 16.50/16.76 (define @t65 () (forall (@list @t1 @t2 @t11) (=> @t64 @t61))) % 16.50/16.76 (define @t66 () (not @t62)) % 16.50/16.76 (define @t67 () (not @t63)) % 16.50/16.76 (define @t68 () (= @t11 @t45)) % 16.50/16.76 (define @t69 () (= @t17 (and (= @t1 @t49) (forall @t47 (or (not @t13) @t68))))) % 16.50/16.76 (define @t70 () (not @t52)) % 16.50/16.76 (define @t71 () (not @t19)) % 16.50/16.76 (define @t72 () (or @t71 @t70 @t69)) % 16.50/16.76 (define @t73 () (forall @t4 @t72)) % 16.50/16.76 (define @t74 () (@quantifiers_skolemize @t73 1)) % 16.50/16.76 (define @t75 () (@quantifiers_skolemize @t73 0)) % 16.50/16.76 (define @t76 () (tptp.in @t11 @t75)) % 16.50/16.76 (define @t77 () (forall @t15 (= (tptp.in @t14 @t74) (and @t76 @t12)))) % 16.50/16.76 (define @t78 () (@quantifiers_skolemize @t77 1)) % 16.50/16.76 (define @t79 () (@quantifiers_skolemize @t77 0)) % 16.50/16.76 (define @t80 () (tptp.function @t74)) % 16.50/16.76 (define @t81 () (forall @t47 (or (not @t76) (= @t11 (tptp.apply @t74 @t11))))) % 16.50/16.76 (define @t82 () (tptp.relation_dom @t74)) % 16.50/16.76 (define @t83 () (= @t75 @t82)) % 16.50/16.76 (define @t84 () (and @t83 @t81)) % 16.50/16.76 (define @t85 () (tptp.identity_relation @t75)) % 16.50/16.76 (define @t86 () (= @t74 @t85)) % 16.50/16.76 (define @t87 () (= @t86 @t84)) % 16.50/16.76 (define @t88 () (not @t80)) % 16.50/16.76 (define @t89 () (tptp.relation @t74)) % 16.50/16.76 (define @t90 () (not @t89)) % 16.50/16.76 (define @t91 () (or @t90 @t88 @t87)) % 16.50/16.76 (define @t92 () (@list true)) % 16.50/16.76 (define @t93 () (@list @t91)) % 16.50/16.76 (define @t94 () (tptp.apply @t74 @t79)) % 16.50/16.76 (define @t95 () (= @t78 @t94)) % 16.50/16.76 (define @t96 () (tptp.in @t79 @t82)) % 16.50/16.76 (define @t97 () (and @t96 @t95)) % 16.50/16.76 (define @t98 () (tptp.in (tptp.ordered_pair @t79 @t78) @t74)) % 16.50/16.76 (define @t99 () (= @t98 @t97)) % 16.50/16.76 (define @t100 () (or @t90 @t88 @t99)) % 16.50/16.76 (define @t101 () (@list false false false)) % 16.50/16.76 (define @t102 () (= @t86 @t77)) % 16.50/16.76 (define @t103 () (or @t90 @t102)) % 16.50/16.76 (define @t104 () (@list false false)) % 16.50/16.76 (define @t105 () (not @t102)) % 16.50/16.76 (define @t106 () (not @t86)) % 16.50/16.76 (define @t107 () (= @t1 @t57)) % 16.50/16.76 (define @t108 () (forall @t7 @t107)) % 16.50/16.76 (define @t109 () (@list @t1)) % 16.50/16.76 (define @t110 () (= @t1 @t58)) % 16.50/16.76 (define @t111 () (forall @t7 @t110)) % 16.50/16.76 (define @t112 () (and @t111 @t108)) % 16.50/16.76 (define @t113 () (tptp.relation_dom @t85)) % 16.50/16.76 (define @t114 () (= @t75 @t113)) % 16.50/16.76 (define @t115 () (and @t86 @t114)) % 16.50/16.76 (define @t116 () (@quantifiers_skolemize @t81 0)) % 16.50/16.76 (define @t117 () (tptp.in (tptp.ordered_pair @t116 @t116) @t74)) % 16.50/16.76 (define @t118 () (tptp.in @t116 @t75)) % 16.50/16.76 (define @t119 () (and @t118 (= @t116 @t116))) % 16.50/16.76 (define @t120 () (= @t117 @t119)) % 16.50/16.76 (define @t121 () (= @t116 (tptp.apply @t74 @t116))) % 16.50/16.76 (define @t122 () (not @t118)) % 16.50/16.76 (define @t123 () (or @t122 @t121)) % 16.50/16.76 (define @t124 () (not @t123)) % 16.50/16.76 (define @t125 () (not @t81)) % 16.50/16.76 (define @t126 () (tptp.in @t116 @t82)) % 16.50/16.76 (define @t127 () (and @t86 @t114 @t118)) % 16.50/16.76 (define @t128 () (= @t118 @t117)) % 16.50/16.76 (define @t129 () (@var "BOUND_VARIABLE_7658" $$unsorted)) % 16.50/16.76 (define @t130 () (@var "BOUND_VARIABLE_7656" $$unsorted)) % 16.50/16.76 (define @t131 () (or (tptp.in @t130 @t23) (= (= @t129 (tptp.apply @t1 @t130)) (= tptp.empty_set @t129)))) % 16.50/16.76 (define @t132 () (@var "BOUND_VARIABLE_7646" $$unsorted)) % 16.50/16.76 (define @t133 () (@var "BOUND_VARIABLE_7644" $$unsorted)) % 16.50/16.76 (define @t134 () (or (not (tptp.in @t133 @t23)) (= (= @t132 (tptp.apply @t1 @t133)) (tptp.in (tptp.ordered_pair @t133 @t132) @t1)))) % 16.50/16.76 (define @t135 () (and @t134 @t131)) % 16.50/16.76 (define @t136 () (not @t5)) % 16.50/16.76 (define @t137 () (not @t8)) % 16.50/16.76 (define @t138 () (or @t137 @t136 @t135)) % 16.50/16.76 (define @t139 () (forall (@list @t1 @t133 @t132 @t130 @t129) @t138)) % 16.50/16.76 (define @t140 () (@list @t133 @t132 @t130 @t129)) % 16.50/16.76 (define @t141 () (forall @t140 @t138)) % 16.50/16.76 (define @t142 () (forall (@list @t130 @t129) @t131)) % 16.50/16.76 (define @t143 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 16.50/16.76 (define @t144 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 16.50/16.76 (define @t145 () (@list @t144 @t143)) % 16.50/16.76 (define @t146 () (forall @t140 @t131)) % 16.50/16.76 (define @t147 () (forall (@list @t133 @t132) @t134)) % 16.50/16.76 (define @t148 () (@var "BOUND_VARIABLE_7606" $$unsorted)) % 16.50/16.76 (define @t149 () (@var "BOUND_VARIABLE_7604" $$unsorted)) % 16.50/16.76 (define @t150 () (@list @t149 @t148)) % 16.50/16.76 (define @t151 () (forall @t140 @t134)) % 16.50/16.76 (define @t152 () (and @t151 @t146)) % 16.50/16.76 (define @t153 () (forall @t140 @t135)) % 16.50/16.76 (define @t154 () (or @t137 @t136 @t153)) % 16.50/16.76 (define @t155 () (= @t143 (tptp.apply @t1 @t144))) % 16.50/16.76 (define @t156 () (tptp.in @t144 @t23)) % 16.50/16.76 (define @t157 () (@list @t144 @t143)) % 16.50/16.76 (define @t158 () (forall (@list @t149 @t148) (or (not (tptp.in @t149 @t23)) (= (= @t148 (tptp.apply @t1 @t149)) (tptp.in (tptp.ordered_pair @t149 @t148) @t1))))) % 16.50/16.76 (define @t159 () (and @t158 (forall @t157 (or @t156 (= @t155 (= tptp.empty_set @t143)))))) % 16.50/16.76 (define @t160 () (or @t137 @t136 @t159)) % 16.50/16.76 (define @t161 () (= @t155 (= @t143 tptp.empty_set))) % 16.50/16.76 (define @t162 () (or @t156 @t161)) % 16.50/16.76 (define @t163 () (forall @t157 @t162)) % 16.50/16.76 (define @t164 () (or @t24 @t22)) % 16.50/16.76 (define @t165 () (forall @t28 @t164)) % 16.50/16.76 (define @t166 () (@list @t2 @t11)) % 16.50/16.76 (define @t167 () (or @t25 @t26)) % 16.50/16.76 (define @t168 () (forall @t28 @t167)) % 16.50/16.76 (define @t169 () (and @t168 @t165)) % 16.50/16.76 (define @t170 () (= tptp.empty_set (tptp.apply @t74 tptp.empty_set))) % 16.50/16.76 (define @t171 () (= tptp.empty_set tptp.empty_set)) % 16.50/16.76 (define @t172 () (tptp.in tptp.empty_set @t82)) % 16.50/16.76 (define @t173 () (or @t172 (= @t170 @t171))) % 16.50/16.76 (define @t174 () (= @t121 @t117)) % 16.50/16.76 (define @t175 () (not @t126)) % 16.50/16.76 (define @t176 () (or @t175 @t174)) % 16.50/16.76 (define @t177 () (and @t176 @t173)) % 16.50/16.76 (define @t178 () (or @t90 @t88 @t177)) % 16.50/16.76 (define @t179 () (and @t176 (or @t172 @t170))) % 16.50/16.76 (define @t180 () (or @t90 @t88 @t179)) % 16.50/16.76 (define @t181 () (@list false)) % 16.50/16.76 (define @t182 () (not @t77)) % 16.50/16.76 (define @t183 () (@list true false)) % 16.50/16.76 (define @t184 () (= @t79 @t78)) % 16.50/16.76 (define @t185 () (tptp.in @t79 @t75)) % 16.50/16.76 (define @t186 () (and @t185 @t184)) % 16.50/16.76 (define @t187 () (= @t98 @t186)) % 16.50/16.76 (define @t188 () (not @t187)) % 16.50/16.76 (define @t189 () (not @t99)) % 16.50/16.76 (define @t190 () (not @t98)) % 16.50/16.76 (define @t191 () (not @t97)) % 16.50/16.76 (define @t192 () (@list true true)) % 16.50/16.76 (define @t193 () (not @t84)) % 16.50/16.76 (define @t194 () (@list @t84)) % 16.50/16.76 (define @t195 () (and @t83 @t96)) % 16.50/16.76 (define @t196 () (= @t79 @t94)) % 16.50/16.76 (define @t197 () (not @t185)) % 16.50/16.76 (define @t198 () (or @t197 @t196)) % 16.50/16.76 (define @t199 () (not @t196)) % 16.50/16.76 (define @t200 () (not @t95)) % 16.50/16.76 (define @t201 () (not @t184)) % 16.50/16.76 (define @t202 () (and @t201 @t95)) % 16.50/16.76 (define @t203 () (not @t186)) % 16.50/16.76 (define @t204 () (@list @t186)) % 16.50/16.76 (define @t205 () (and @t184 @t196)) % 16.50/16.76 (define @t206 () (and @t83 @t185)) % 16.50/16.76 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 16.50/16.76 (assume @p2 (forall @t7 (=> @t6 @t5))) % 16.50/16.76 (assume @p3 (forall @t7 (=> @t6 @t8))) % 16.50/16.76 (assume @p4 (forall @t4 (= @t9 (tptp.unordered_pair @t2 @t1)))) % 16.50/16.76 (assume @p5 @t20) % 16.50/16.76 (assume @p6 @t32) % 16.50/16.76 (assume @p7 (forall @t4 (= @t34 (tptp.unordered_pair @t9 @t33)))) % 16.50/16.76 (assume @p8 true) % 16.50/16.76 (assume @p9 (forall @t7 @t35)) % 16.50/16.76 (assume @p10 (forall @t7 (exists (@list @t2) (tptp.element @t2 @t1)))) % 16.50/16.76 (assume @p11 (and @t37 @t36 (tptp.relation_empty_yielding tptp.empty_set))) % 16.50/16.76 (assume @p12 @t37) % 16.50/16.76 (assume @p13 (forall @t4 (not (tptp.empty @t34)))) % 16.50/16.76 (assume @p14 (forall @t7 (and @t35 (tptp.function @t16)))) % 16.50/16.76 (assume @p15 (forall @t7 (not (tptp.empty @t33)))) % 16.50/16.76 (assume @p16 (forall @t4 (not (tptp.empty @t9)))) % 16.50/16.76 (assume @p17 (and @t37 @t36)) % 16.50/16.76 (assume @p18 (forall @t7 (=> @t40 (not @t38)))) % 16.50/16.76 (assume @p19 (forall @t7 (=> @t40 (not @t42)))) % 16.50/16.76 (assume @p20 (forall @t7 (=> @t6 (and @t38 (tptp.relation @t23))))) % 16.50/16.76 (assume @p21 (forall @t7 (=> @t6 (and @t42 (tptp.relation @t41))))) % 16.50/16.76 (assume @p22 (exists @t7 @t30)) % 16.50/16.76 (assume @p23 (exists @t7 (and @t6 @t8))) % 16.50/16.76 (assume @p24 (exists @t7 @t6)) % 16.50/16.76 (assume @p25 (exists @t7 @t40)) % 16.50/16.76 (assume @p26 (exists @t7 @t39)) % 16.50/16.76 (assume @p27 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 16.50/16.76 (assume @p28 (forall @t4 (=> @t3 @t43))) % 16.50/16.76 (assume @p29 (forall @t4 (=> @t43 (or @t44 @t3)))) % 16.50/16.76 (assume @p30 @t56) % 16.50/16.76 (assume @p31 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 16.50/16.76 (assume @p32 @t60) % 16.50/16.76 (assume @p33 (forall @t4 (not (and @t3 @t44)))) % 16.50/16.76 (assume @p34 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t44)))) % 16.50/16.76 (assume @p35 @t65) % 16.50/16.76 (step @p36 :rule aci_norm :args ((= (or (or @t67 @t66) @t61) (or @t67 @t66 @t61)))) % 16.50/16.76 (step @p37 :rule refl :args (@t61)) % 16.50/16.76 (step @p38 :rule bool-and-de-morgan :args (@t63 @t62 true)) % 16.50/16.76 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t64) @t61))) % 16.50/16.76 (step @p40 :rule trans :premises (@p39 @p36)) % 16.50/16.76 (step @p41 :rule bool-impl-elim :args (@t64 @t61)) % 16.50/16.76 (step @p42 :rule trans :premises (@p41 @p40)) % 16.50/16.76 (step @p43 :rule cong :premises (@p42) :args (@t65)) % 16.50/16.76 (step @p44 :rule eq_resolve :premises 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(step @p247 :rule cong :premises (@p246) :args (@t32)) % 16.50/16.76 (step @p248 :rule trans :premises (@p247 @p221)) % 16.50/16.76 (step @p249 :rule eq_resolve :premises (@p6 @p248)) % 16.50/16.76 (step @p250 :rule bool-eq-true :args (@t170)) % 16.50/16.76 (step @p251 :rule eq-symm :args (true @t170)) % 16.50/16.76 (step @p252 :rule trans :premises (@p251 @p250)) % 16.50/16.76 (step @p253 :rule refl :args (@t170)) % 16.50/16.76 (step @p254 :rule eq-refl :args (tptp.empty_set)) % 16.50/16.76 (step @p255 :rule cong :premises (@p254 @p253) :args ((= @t171 @t170))) % 16.50/16.76 (step @p256 :rule trans :premises (@p255 @p252)) % 16.50/16.76 (step @p257 :rule eq-symm :args (@t170 @t171)) % 16.50/16.76 (step @p258 :rule trans :premises (@p257 @p256)) % 16.50/16.76 (step @p259 :rule refl :args (@t172)) % 16.50/16.76 (step @p260 :rule nary_cong :premises (@p259 @p258) :args (@t173)) % 16.50/16.76 (step @p261 :rule refl :args (@t176)) % 16.50/16.76 (step @p262 :rule nary_cong :premises (@p261 @p260) :args (@t177)) % 16.50/16.76 (step @p263 :rule refl :args (@t88)) % 16.50/16.76 (step @p264 :rule refl :args (@t90)) % 16.50/16.76 (step @p265 :rule nary_cong :premises (@p264 @p263 @p262) :args (@t178)) % 16.50/16.76 (step @p266 :rule refl :args (@t139)) % 16.50/16.76 (step @p267 :rule cong :premises (@p266 @p265) :args ((=> @t139 @t178))) % 16.50/16.76 (assume-push @p450 @t139) % 16.50/16.76 (step @p269 :rule instantiate :premises (@p249) :args ((@list @t74 @t116 @t116 tptp.empty_set tptp.empty_set))) % 16.50/16.76 (step-pop @p451 :rule scope :premises (@p269)) % 16.50/16.76 (step @p270 :rule process_scope :premises (@p451) :args (@t178)) % 16.50/16.76 (step @p272 :rule eq_resolve :premises (@p270 @p267)) % 16.50/16.76 (step @p273 :rule implies_elim :premises (@p272)) % 16.50/16.76 (step @p274 :rule chain_m_resolution :premises (@p273 @p249) :args (@t180 @t181 (@list @t139))) % 16.50/16.76 (step @p275 :rule cnf_or_pos :args (@t180)) % 16.50/16.76 (step @p276 :rule reordering :premises (@p275) :args ((or @t90 @t88 @t179 (not @t180)))) % 16.50/16.76 (step @p277 :rule chain_m_resolution :premises (@p276 @p84 @p78 @p274) :args (@t179 @t101 (@list @t89 @t80 @t180))) % 16.50/16.76 (step @p278 :rule cnf_and_pos :args (@t179 0)) % 16.50/16.76 (step @p279 :rule reordering :premises (@p278) :args ((or @t176 (not @t179)))) % 16.50/16.76 (step @p280 :rule chain_m_resolution :premises (@p279 @p277) :args (@t176 @t181 (@list @t179))) % 16.50/16.76 (step @p281 :rule cnf_or_pos :args (@t176)) % 16.50/16.76 (step @p282 :rule reordering :premises (@p281) :args ((or @t175 @t174 (not @t176)))) % 16.50/16.76 (step @p283 :rule cnf_equiv_pos2 :args (@t174)) % 16.50/16.76 (step @p284 :rule reordering :premises (@p283) :args ((or @t121 (not @t117) (not @t174)))) % 16.50/16.76 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p280 @p194 @p192 @p112 @p165 @p164 @p158 @p149 @p148 @p131 @p112 @p99 @p94 @p97 @p96) :args (@t106 (@list false false false false false true false true true false false false false false true true) (@list @t174 @t176 @t117 @t126 @t114 @t121 @t118 @t123 @t81 @t128 @t83 @t114 @t77 @t102 @t84 @t87))) % 16.50/16.76 (step @p286 :rule cnf_equiv_pos2 :args (@t102)) % 16.50/16.76 (step @p287 :rule reordering :premises (@p286) :args ((or @t86 @t182 @t105))) % 16.50/16.76 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p94) :args (@t182 @t183 (@list @t86 @t102))) % 16.50/16.76 (step @p289 :rule refl :args (@t188)) % 16.50/16.76 (step @p290 :rule bool-double-not-elim :args (@t77)) % 16.50/16.76 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or (not @t182) @t188))) % 16.50/16.76 (assume-push @p452 @t182) % 16.50/16.76 (step @p293 :rule skolemize :premises (@p452)) % 16.50/16.76 (step-pop @p453 :rule scope :premises (@p293)) % 16.50/16.76 (step @p294 :rule process_scope :premises (@p453) :args (@t188)) % 16.50/16.76 (step @p296 :rule implies_elim :premises (@p294)) % 16.50/16.76 (step @p297 :rule eq_resolve :premises (@p296 @p291)) % 16.50/16.76 (step @p298 :rule chain_m_resolution :premises (@p297 @p288) :args (@t188 @t92 (@list @t77))) % 16.50/16.76 (step @p299 :rule cnf_equiv_neg2 :args (@t187)) % 16.50/16.76 (step @p300 :rule cnf_equiv_pos1 :args (@t99)) % 16.50/16.76 (step @p301 :rule reordering :premises (@p300) :args ((or @t190 @t97 @t189))) % 16.50/16.76 (step @p302 :rule cnf_and_pos :args (@t97 0)) % 16.50/16.76 (step @p303 :rule reordering :premises (@p302) :args ((or @t96 @t191))) % 16.50/16.76 (step @p304 :rule cnf_and_pos :args (@t97 1)) % 16.50/16.76 (step @p305 :rule reordering :premises (@p304) :args ((or @t95 @t191))) % 16.50/16.76 (step @p306 :rule cnf_equiv_neg1 :args (@t87)) % 16.50/16.76 (step @p307 :rule reordering :premises (@p306) :args ((or @t86 @t84 @t87))) % 16.50/16.76 (step @p308 :rule chain_m_resolution :premises (@p307 @p285 @p96) :args (@t84 @t192 (@list @t86 @t87))) % 16.50/16.76 (step @p309 :rule cnf_and_pos :args (@t84 0)) % 16.50/16.76 (step @p310 :rule reordering :premises (@p309) :args ((or @t83 @t193))) % 16.50/16.76 (step @p311 :rule chain_m_resolution :premises (@p310 @p308) :args (@t83 @t181 @t194)) % 16.50/16.76 (assume-push @p454 @t83) % 16.50/16.76 (assume-push @p455 @t96) % 16.50/16.76 (assume-push @p456 @t96) % 16.50/16.76 (assume-push @p457 @t83) % 16.50/16.76 (step @p316 :rule true_intro :premises (@p455)) % 16.50/16.76 (step @p317 :rule refl :args (@t79)) % 16.50/16.76 (step @p318 :rule cong :premises (@p317 @p454) :args (@t185)) % 16.50/16.76 (step @p319 :rule trans :premises (@p318 @p316)) % 16.50/16.76 (step @p320 :rule true_elim :premises (@p319)) % 16.50/16.76 (step-pop @p458 :rule scope :premises (@p320)) % 16.50/16.76 (step-pop @p459 :rule scope :premises (@p458)) % 16.50/16.76 (step @p321 :rule process_scope :premises (@p459) :args (@t185)) % 16.50/16.76 (step @p324 :rule and_intro :premises (@p455 @p454)) % 16.50/16.76 (step @p325 :rule modus_ponens :premises (@p324 @p321)) % 16.50/16.76 (step-pop @p460 :rule scope :premises (@p325)) % 16.50/16.76 (step-pop @p461 :rule scope :premises (@p460)) % 16.50/16.76 (step @p326 :rule process_scope :premises (@p461) :args (@t185)) % 16.50/16.76 (step @p329 :rule implies_elim :premises (@p326)) % 16.50/16.76 (step @p330 :rule cnf_and_neg :args (@t195)) % 16.50/16.76 (step @p331 :rule resolution :premises (@p330 @p329) :args (true @t195)) % 16.50/16.76 (step @p332 :rule reordering :premises (@p331) :args ((or (not @t83) @t185 (not @t96)))) % 16.50/16.76 (step @p333 :rule cnf_and_neg :args (@t186)) % 16.50/16.76 (step @p334 :rule cnf_and_pos :args (@t84 1)) % 16.50/16.76 (step @p335 :rule reordering :premises (@p334) :args ((or @t81 @t193))) % 16.50/16.76 (step @p336 :rule chain_m_resolution :premises (@p335 @p308) :args (@t81 @t181 @t194)) % 16.50/16.76 (assume-push @p462 @t81) % 16.50/16.76 (step @p338 :rule instantiate :premises (@p462) :args ((@list @t79))) % 16.50/16.76 (step-pop @p463 :rule scope :premises (@p338)) % 16.50/16.76 (step @p339 :rule process_scope :premises (@p463) :args (@t198)) % 16.50/16.76 (step @p341 :rule implies_elim :premises (@p339)) % 16.50/16.76 (step @p342 :rule chain_m_resolution :premises (@p341 @p336) :args (@t198 @t181 (@list @t81))) % 16.50/16.76 (step @p343 :rule cnf_or_pos :args (@t198)) % 16.50/16.76 (step @p344 :rule reordering :premises (@p343) :args ((or @t197 @t196 (not @t198)))) % 16.50/16.76 (step @p345 :rule refl :args (@t199)) % 16.50/16.76 (step @p346 :rule refl :args (@t200)) % 16.50/16.76 (step @p347 :rule bool-double-not-elim :args (@t184)) % 16.50/16.76 (step @p348 :rule nary_cong :premises (@p347 @p346 @p345) :args ((or (not @t201) @t200 @t199))) % 16.50/16.76 (assume-push @p464 @t201) % 16.50/16.76 (assume-push @p465 @t95) % 16.50/16.76 (assume-push @p466 @t201) % 16.50/16.76 (assume-push @p467 @t95) % 16.50/16.76 (step @p353 :rule false_intro :premises (@p464)) % 16.50/16.76 (step @p354 :rule symm :premises (@p465)) % 16.50/16.76 (step @p317 :rule refl :args (@t79)) % 16.50/16.76 (step @p355 :rule cong :premises (@p317 @p354) :args (@t196)) % 16.50/16.76 (step @p356 :rule trans :premises (@p355 @p353)) % 16.50/16.76 (step @p357 :rule false_elim :premises (@p356)) % 16.50/16.76 (step-pop @p468 :rule scope :premises (@p357)) % 16.50/16.76 (step-pop @p469 :rule scope :premises (@p468)) % 16.50/16.76 (step @p358 :rule process_scope :premises (@p469) :args (@t199)) % 16.50/16.76 (step @p361 :rule and_intro :premises (@p464 @p465)) % 16.50/16.76 (step @p362 :rule modus_ponens :premises (@p361 @p358)) % 16.50/16.76 (step-pop @p470 :rule scope :premises (@p362)) % 16.50/16.76 (step-pop @p471 :rule scope :premises (@p470)) % 16.50/16.76 (step @p363 :rule process_scope :premises (@p471) :args (@t199)) % 16.50/16.76 (step @p366 :rule implies_elim :premises (@p363)) % 16.50/16.76 (step @p367 :rule cnf_and_neg :args (@t202)) % 16.50/16.76 (step @p368 :rule resolution :premises (@p367 @p366) :args (true @t202)) % 16.50/16.76 (step @p369 :rule eq_resolve :premises (@p368 @p348)) % 16.50/16.76 (step @p370 :rule chain_m_resolution :premises (@p369 @p344 @p342 @p333 @p332 @p311 @p305 @p303 @p301 @p87 @p299 @p298) :args (@t190 (@list false false true false false false false false false true true) (@list @t196 @t198 @t184 @t185 @t83 @t95 @t96 @t97 @t99 @t186 @t187))) % 16.50/16.76 (step @p371 :rule cnf_equiv_pos2 :args (@t99)) % 16.50/16.76 (step @p372 :rule reordering :premises (@p371) :args ((or @t98 @t191 @t189))) % 16.50/16.76 (step @p373 :rule chain_m_resolution :premises (@p372 @p370 @p87) :args (@t191 @t183 (@list @t98 @t99))) % 16.50/16.76 (step @p374 :rule cnf_equiv_neg1 :args (@t187)) % 16.50/16.76 (step @p375 :rule reordering :premises (@p374) :args ((or @t98 @t186 @t187))) % 16.50/16.76 (step @p376 :rule chain_m_resolution :premises (@p375 @p370 @p298) :args (@t186 @t192 (@list @t98 @t187))) % 16.50/16.76 (step @p377 :rule cnf_and_pos :args (@t186 0)) % 16.50/16.76 (step @p378 :rule reordering :premises (@p377) :args ((or @t185 @t203))) % 16.50/16.76 (step @p379 :rule chain_m_resolution :premises (@p378 @p376) :args (@t185 @t181 @t204)) % 16.50/16.76 (step @p380 :rule chain_m_resolution :premises (@p344 @p379 @p342) :args (@t196 @t104 (@list @t185 @t198))) % 16.50/16.76 (step @p381 :rule cnf_and_pos :args (@t186 1)) % 16.50/16.76 (step @p382 :rule reordering :premises (@p381) :args ((or @t184 @t203))) % 16.50/16.76 (step @p383 :rule chain_m_resolution :premises (@p382 @p376) :args (@t184 @t181 @t204)) % 16.50/16.76 (assume-push @p472 @t184) % 16.50/16.76 (assume-push @p473 @t196) % 16.50/16.76 (assume-push @p474 @t196) % 16.50/16.76 (assume-push @p475 @t184) % 16.50/16.76 (step @p388 :rule symm :premises (@p472)) % 16.50/16.76 (step @p389 :rule trans :premises (@p388 @p473)) % 16.50/16.76 (step-pop @p476 :rule scope :premises (@p389)) % 16.50/16.76 (step-pop @p477 :rule scope :premises (@p476)) % 16.50/16.76 (step @p390 :rule process_scope :premises (@p477) :args (@t95)) % 16.50/16.76 (step @p393 :rule and_intro :premises (@p473 @p472)) % 16.50/16.76 (step @p394 :rule modus_ponens :premises (@p393 @p390)) % 16.50/16.76 (step-pop @p478 :rule scope :premises (@p394)) % 16.50/16.76 (step-pop @p479 :rule scope :premises (@p478)) % 16.50/16.76 (step @p395 :rule process_scope :premises (@p479) :args (@t95)) % 16.50/16.76 (step @p398 :rule implies_elim :premises (@p395)) % 16.50/16.76 (step @p399 :rule cnf_and_neg :args (@t205)) % 16.50/16.76 (step @p400 :rule resolution :premises (@p399 @p398) :args (true @t205)) % 16.50/16.76 (step @p401 :rule reordering :premises (@p400) :args ((or @t201 @t95 @t199))) % 16.50/16.76 (step @p402 :rule chain_m_resolution :premises (@p401 @p383 @p380) :args (@t95 @t104 (@list @t184 @t196))) % 16.50/16.76 (assume-push @p480 @t83) % 16.50/16.76 (assume-push @p481 @t185) % 16.50/16.76 (assume-push @p482 @t185) % 16.50/16.76 (assume-push @p483 @t83) % 16.50/16.76 (step @p407 :rule true_intro :premises (@p481)) % 16.50/16.76 (step @p408 :rule symm :premises (@p480)) % 16.50/16.76 (step @p317 :rule refl :args (@t79)) % 16.50/16.76 (step @p409 :rule cong :premises (@p317 @p408) :args (@t96)) % 16.50/16.76 (step @p410 :rule trans :premises (@p409 @p407)) % 16.50/16.76 (step @p411 :rule true_elim :premises (@p410)) % 16.50/16.76 (step-pop @p484 :rule scope :premises (@p411)) % 16.50/16.76 (step-pop @p485 :rule scope :premises (@p484)) % 16.50/16.76 (step @p412 :rule process_scope :premises (@p485) :args (@t96)) % 16.50/16.76 (step @p415 :rule and_intro :premises (@p481 @p480)) % 16.50/16.76 (step @p416 :rule modus_ponens :premises (@p415 @p412)) % 16.50/16.76 (step-pop @p486 :rule scope :premises (@p416)) % 16.50/16.76 (step-pop @p487 :rule scope :premises (@p486)) % 16.50/16.76 (step @p417 :rule process_scope :premises (@p487) :args (@t96)) % 16.50/16.76 (step @p420 :rule implies_elim :premises (@p417)) % 16.50/16.76 (step @p421 :rule cnf_and_neg :args (@t206)) % 16.50/16.76 (step @p422 :rule resolution :premises (@p421 @p420) :args (true @t206)) % 16.50/16.76 (step @p423 :rule chain_m_resolution :premises (@p422 @p311 @p379) :args (@t96 @t104 (@list @t83 @t185))) % 16.50/16.76 (step @p424 :rule cnf_and_neg :args (@t97)) % 16.50/16.76 (step @p425 false :rule chain_m_resolution :premises (@p424 @p423 @p402 @p373) :args (false (@list false false true) (@list @t96 @t95 @t97))) % 16.50/16.76 ) % 16.50/16.76 % SZS output end Proof % 16.50/16.76 % cvc5 exiting %------------------------------------------------------------------------------