%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU216+3 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:50:59 AM UTC 2026 % Result : Theorem 17.00s 17.27s % Output : Proof 17.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU216+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:41:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 17.00/17.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.00/17.27 --- Run --no-e-matching --full-saturate-quant at 6... % 17.00/17.27 % SZS status Theorem % 17.00/17.27 % SZS output start Proof % 17.00/17.27 ( % 17.00/17.27 (declare-sort $$unsorted 0) % 17.00/17.27 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 17.00/17.27 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 17.00/17.27 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 17.00/17.27 (declare-const tptp.function (-> $$unsorted Bool)) % 17.00/17.27 (declare-const tptp.empty (-> $$unsorted Bool)) % 17.00/17.27 (declare-const tptp.empty_set $$unsorted) % 17.00/17.27 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.00/17.27 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 17.00/17.27 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 17.00/17.27 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 17.00/17.27 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.00/17.27 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 17.00/17.27 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 17.00/17.27 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 17.00/17.27 (declare-const tptp.relation (-> $$unsorted Bool)) % 17.00/17.27 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 17.00/17.27 (define @t1 () (@var "A" $$unsorted)) % 17.00/17.27 (define @t2 () (@var "B" $$unsorted)) % 17.00/17.27 (define @t3 () (tptp.in @t1 @t2)) % 17.00/17.27 (define @t4 () (@list @t1 @t2)) % 17.00/17.27 (define @t5 () (tptp.function @t1)) % 17.00/17.27 (define @t6 () (tptp.empty @t1)) % 17.00/17.27 (define @t7 () (@list @t1)) % 17.00/17.27 (define @t8 () (tptp.relation @t1)) % 17.00/17.27 (define @t9 () (tptp.unordered_pair @t1 @t2)) % 17.00/17.27 (define @t10 () (@var "D" $$unsorted)) % 17.00/17.27 (define @t11 () (@var "C" $$unsorted)) % 17.00/17.27 (define @t12 () (= @t11 @t10)) % 17.00/17.27 (define @t13 () (tptp.in @t11 @t1)) % 17.00/17.27 (define @t14 () (tptp.ordered_pair @t11 @t10)) % 17.00/17.27 (define @t15 () (@list @t11 @t10)) % 17.00/17.27 (define @t16 () (tptp.identity_relation @t1)) % 17.00/17.27 (define @t17 () (= @t2 @t16)) % 17.00/17.27 (define @t18 () (= @t17 (forall @t15 (= (tptp.in @t14 @t2) (and @t13 @t12))))) % 17.00/17.27 (define @t19 () (tptp.relation @t2)) % 17.00/17.27 (define @t20 () (forall @t4 (=> @t19 @t18))) % 17.00/17.27 (define @t21 () (= @t11 (tptp.apply @t1 @t2))) % 17.00/17.27 (define @t22 () (= @t21 (= @t11 tptp.empty_set))) % 17.00/17.27 (define @t23 () (tptp.relation_dom @t1)) % 17.00/17.27 (define @t24 () (tptp.in @t2 @t23)) % 17.00/17.27 (define @t25 () (not @t24)) % 17.00/17.27 (define @t26 () (= @t21 (tptp.in (tptp.ordered_pair @t2 @t11) @t1))) % 17.00/17.27 (define @t27 () (and (=> @t24 @t26) (=> @t25 @t22))) % 17.00/17.27 (define @t28 () (@list @t2 @t11)) % 17.00/17.27 (define @t29 () (forall @t28 @t27)) % 17.00/17.27 (define @t30 () (and @t8 @t5)) % 17.00/17.27 (define @t31 () (=> @t30 @t29)) % 17.00/17.27 (define @t32 () (forall @t7 @t31)) % 17.00/17.27 (define @t33 () (tptp.singleton @t1)) % 17.00/17.27 (define @t34 () (tptp.ordered_pair @t1 @t2)) % 17.00/17.27 (define @t35 () (tptp.relation @t16)) % 17.00/17.27 (define @t36 () (@list @t2)) % 17.00/17.27 (define @t37 () (tptp.relation tptp.empty_set)) % 17.00/17.27 (define @t38 () (tptp.empty tptp.empty_set)) % 17.00/17.27 (define @t39 () (tptp.powerset @t1)) % 17.00/17.27 (define @t40 () (tptp.empty @t23)) % 17.00/17.27 (define @t41 () (not @t6)) % 17.00/17.27 (define @t42 () (and @t41 @t8)) % 17.00/17.27 (define @t43 () (tptp.relation_rng @t1)) % 17.00/17.27 (define @t44 () (tptp.empty @t43)) % 17.00/17.27 (define @t45 () (tptp.empty @t2)) % 17.00/17.27 (define @t46 () (tptp.element @t2 @t39)) % 17.00/17.27 (define @t47 () (tptp.element @t1 @t2)) % 17.00/17.27 (define @t48 () (tptp.apply @t2 @t11)) % 17.00/17.27 (define @t49 () (=> @t13 (= @t48 @t11))) % 17.00/17.27 (define @t50 () (@list @t11)) % 17.00/17.27 (define @t51 () (forall @t50 @t49)) % 17.00/17.27 (define @t52 () (tptp.relation_dom @t2)) % 17.00/17.27 (define @t53 () (and (= @t52 @t1) @t51)) % 17.00/17.27 (define @t54 () (= @t17 @t53)) % 17.00/17.27 (define @t55 () (tptp.function @t2)) % 17.00/17.27 (define @t56 () (and @t19 @t55)) % 17.00/17.27 (define @t57 () (=> @t56 @t54)) % 17.00/17.27 (define @t58 () (forall @t4 @t57)) % 17.00/17.27 (define @t59 () (not @t58)) % 17.00/17.27 (define @t60 () (tptp.element @t2 (tptp.powerset @t11))) % 17.00/17.27 (define @t61 () (@list @t1 @t2 @t11)) % 17.00/17.27 (define @t62 () (tptp.relation_rng @t16)) % 17.00/17.27 (define @t63 () (tptp.relation_dom @t16)) % 17.00/17.27 (define @t64 () (and (= @t63 @t1) (= @t62 @t1))) % 17.00/17.27 (define @t65 () (forall @t7 @t64)) % 17.00/17.27 (define @t66 () (= (tptp.in @t34 @t11) (and (tptp.in @t1 (tptp.relation_dom @t11)) (= @t2 (tptp.apply @t11 @t1))))) % 17.00/17.27 (define @t67 () (tptp.function @t11)) % 17.00/17.27 (define @t68 () (tptp.relation @t11)) % 17.00/17.27 (define @t69 () (and @t68 @t67)) % 17.00/17.27 (define @t70 () (forall @t61 (=> @t69 @t66))) % 17.00/17.27 (define @t71 () (not @t67)) % 17.00/17.27 (define @t72 () (not @t68)) % 17.00/17.27 (define @t73 () (= @t11 @t48)) % 17.00/17.27 (define @t74 () (= @t17 (and (= @t1 @t52) (forall @t50 (or (not @t13) @t73))))) % 17.00/17.27 (define @t75 () (not @t55)) % 17.00/17.27 (define @t76 () (not @t19)) % 17.00/17.27 (define @t77 () (or @t76 @t75 @t74)) % 17.00/17.27 (define @t78 () (forall @t4 @t77)) % 17.00/17.27 (define @t79 () (@quantifiers_skolemize @t78 1)) % 17.00/17.27 (define @t80 () (@quantifiers_skolemize @t78 0)) % 17.00/17.27 (define @t81 () (tptp.in @t11 @t80)) % 17.00/17.27 (define @t82 () (forall @t15 (= (tptp.in @t14 @t79) (and @t81 @t12)))) % 17.00/17.27 (define @t83 () (@quantifiers_skolemize @t82 1)) % 17.00/17.27 (define @t84 () (@quantifiers_skolemize @t82 0)) % 17.00/17.27 (define @t85 () (tptp.function @t79)) % 17.00/17.27 (define @t86 () (forall @t50 (or (not @t81) (= @t11 (tptp.apply @t79 @t11))))) % 17.00/17.27 (define @t87 () (tptp.relation_dom @t79)) % 17.00/17.27 (define @t88 () (= @t80 @t87)) % 17.00/17.27 (define @t89 () (and @t88 @t86)) % 17.00/17.27 (define @t90 () (tptp.identity_relation @t80)) % 17.00/17.27 (define @t91 () (= @t79 @t90)) % 17.00/17.27 (define @t92 () (= @t91 @t89)) % 17.00/17.27 (define @t93 () (not @t85)) % 17.00/17.27 (define @t94 () (tptp.relation @t79)) % 17.00/17.27 (define @t95 () (not @t94)) % 17.00/17.27 (define @t96 () (or @t95 @t93 @t92)) % 17.00/17.27 (define @t97 () (@list true)) % 17.00/17.27 (define @t98 () (@list @t96)) % 17.00/17.27 (define @t99 () (tptp.apply @t79 @t84)) % 17.00/17.27 (define @t100 () (= @t83 @t99)) % 17.00/17.27 (define @t101 () (tptp.in @t84 @t87)) % 17.00/17.27 (define @t102 () (and @t101 @t100)) % 17.00/17.27 (define @t103 () (tptp.in (tptp.ordered_pair @t84 @t83) @t79)) % 17.00/17.27 (define @t104 () (= @t103 @t102)) % 17.00/17.27 (define @t105 () (or @t95 @t93 @t104)) % 17.00/17.27 (define @t106 () (@list false false false)) % 17.00/17.27 (define @t107 () (= @t91 @t82)) % 17.00/17.27 (define @t108 () (or @t95 @t107)) % 17.00/17.27 (define @t109 () (@list false false)) % 17.00/17.27 (define @t110 () (not @t107)) % 17.00/17.27 (define @t111 () (not @t91)) % 17.00/17.27 (define @t112 () (= @t1 @t62)) % 17.00/17.27 (define @t113 () (forall @t7 @t112)) % 17.00/17.27 (define @t114 () (@list @t1)) % 17.00/17.27 (define @t115 () (= @t1 @t63)) % 17.00/17.27 (define @t116 () (forall @t7 @t115)) % 17.00/17.27 (define @t117 () (and @t116 @t113)) % 17.00/17.27 (define @t118 () (tptp.relation_dom @t90)) % 17.00/17.27 (define @t119 () (= @t80 @t118)) % 17.00/17.27 (define @t120 () (and @t91 @t119)) % 17.00/17.27 (define @t121 () (@quantifiers_skolemize @t86 0)) % 17.00/17.27 (define @t122 () (tptp.in (tptp.ordered_pair @t121 @t121) @t79)) % 17.00/17.27 (define @t123 () (tptp.in @t121 @t80)) % 17.00/17.27 (define @t124 () (and @t123 (= @t121 @t121))) % 17.00/17.27 (define @t125 () (= @t122 @t124)) % 17.00/17.27 (define @t126 () (= @t121 (tptp.apply @t79 @t121))) % 17.00/17.27 (define @t127 () (not @t123)) % 17.00/17.27 (define @t128 () (or @t127 @t126)) % 17.00/17.27 (define @t129 () (not @t128)) % 17.00/17.27 (define @t130 () (not @t86)) % 17.00/17.27 (define @t131 () (tptp.in @t121 @t87)) % 17.00/17.27 (define @t132 () (and @t91 @t119 @t123)) % 17.00/17.27 (define @t133 () (= @t123 @t122)) % 17.00/17.27 (define @t134 () (@var "BOUND_VARIABLE_7690" $$unsorted)) % 17.00/17.27 (define @t135 () (@var "BOUND_VARIABLE_7688" $$unsorted)) % 17.00/17.27 (define @t136 () (or (tptp.in @t135 @t23) (= (= @t134 (tptp.apply @t1 @t135)) (= tptp.empty_set @t134)))) % 17.00/17.27 (define @t137 () (@var "BOUND_VARIABLE_7678" $$unsorted)) % 17.00/17.27 (define @t138 () (@var "BOUND_VARIABLE_7676" $$unsorted)) % 17.00/17.27 (define @t139 () (or (not (tptp.in @t138 @t23)) (= (= @t137 (tptp.apply @t1 @t138)) (tptp.in (tptp.ordered_pair @t138 @t137) @t1)))) % 17.00/17.27 (define @t140 () (and @t139 @t136)) % 17.00/17.27 (define @t141 () (not @t5)) % 17.00/17.27 (define @t142 () (not @t8)) % 17.00/17.27 (define @t143 () (or @t142 @t141 @t140)) % 17.00/17.27 (define @t144 () (forall (@list @t1 @t138 @t137 @t135 @t134) @t143)) % 17.00/17.27 (define @t145 () (@list @t138 @t137 @t135 @t134)) % 17.00/17.27 (define @t146 () (forall @t145 @t143)) % 17.00/17.27 (define @t147 () (forall (@list @t135 @t134) @t136)) % 17.00/17.27 (define @t148 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 17.00/17.27 (define @t149 () (@var "BOUND_VARIABLE_7650" $$unsorted)) % 17.00/17.27 (define @t150 () (@list @t149 @t148)) % 17.00/17.27 (define @t151 () (forall @t145 @t136)) % 17.00/17.27 (define @t152 () (forall (@list @t138 @t137) @t139)) % 17.00/17.27 (define @t153 () (@var "BOUND_VARIABLE_7638" $$unsorted)) % 17.00/17.27 (define @t154 () (@var "BOUND_VARIABLE_7636" $$unsorted)) % 17.00/17.27 (define @t155 () (@list @t154 @t153)) % 17.00/17.27 (define @t156 () (forall @t145 @t139)) % 17.00/17.27 (define @t157 () (and @t156 @t151)) % 17.00/17.27 (define @t158 () (forall @t145 @t140)) % 17.00/17.27 (define @t159 () (or @t142 @t141 @t158)) % 17.00/17.27 (define @t160 () (= @t148 (tptp.apply @t1 @t149))) % 17.00/17.27 (define @t161 () (tptp.in @t149 @t23)) % 17.00/17.27 (define @t162 () (@list @t149 @t148)) % 17.00/17.27 (define @t163 () (forall (@list @t154 @t153) (or (not (tptp.in @t154 @t23)) (= (= @t153 (tptp.apply @t1 @t154)) (tptp.in (tptp.ordered_pair @t154 @t153) @t1))))) % 17.00/17.27 (define @t164 () (and @t163 (forall @t162 (or @t161 (= @t160 (= tptp.empty_set @t148)))))) % 17.00/17.27 (define @t165 () (or @t142 @t141 @t164)) % 17.00/17.27 (define @t166 () (= @t160 (= @t148 tptp.empty_set))) % 17.00/17.27 (define @t167 () (or @t161 @t166)) % 17.00/17.27 (define @t168 () (forall @t162 @t167)) % 17.00/17.27 (define @t169 () (or @t24 @t22)) % 17.00/17.27 (define @t170 () (forall @t28 @t169)) % 17.00/17.27 (define @t171 () (@list @t2 @t11)) % 17.00/17.27 (define @t172 () (or @t25 @t26)) % 17.00/17.27 (define @t173 () (forall @t28 @t172)) % 17.00/17.27 (define @t174 () (and @t173 @t170)) % 17.00/17.27 (define @t175 () (= tptp.empty_set (tptp.apply @t79 tptp.empty_set))) % 17.00/17.27 (define @t176 () (= tptp.empty_set tptp.empty_set)) % 17.00/17.27 (define @t177 () (tptp.in tptp.empty_set @t87)) % 17.00/17.27 (define @t178 () (or @t177 (= @t175 @t176))) % 17.00/17.27 (define @t179 () (= @t126 @t122)) % 17.00/17.27 (define @t180 () (not @t131)) % 17.00/17.27 (define @t181 () (or @t180 @t179)) % 17.00/17.27 (define @t182 () (and @t181 @t178)) % 17.00/17.27 (define @t183 () (or @t95 @t93 @t182)) % 17.00/17.27 (define @t184 () (and @t181 (or @t177 @t175))) % 17.00/17.27 (define @t185 () (or @t95 @t93 @t184)) % 17.00/17.27 (define @t186 () (@list false)) % 17.00/17.27 (define @t187 () (not @t82)) % 17.00/17.27 (define @t188 () (@list true false)) % 17.00/17.27 (define @t189 () (= @t84 @t83)) % 17.00/17.27 (define @t190 () (tptp.in @t84 @t80)) % 17.00/17.27 (define @t191 () (and @t190 @t189)) % 17.00/17.27 (define @t192 () (= @t103 @t191)) % 17.00/17.27 (define @t193 () (not @t192)) % 17.00/17.27 (define @t194 () (not @t104)) % 17.00/17.27 (define @t195 () (not @t103)) % 17.00/17.27 (define @t196 () (not @t102)) % 17.00/17.27 (define @t197 () (@list true true)) % 17.00/17.27 (define @t198 () (not @t89)) % 17.00/17.27 (define @t199 () (@list @t89)) % 17.00/17.27 (define @t200 () (and @t88 @t101)) % 17.00/17.27 (define @t201 () (= @t84 @t99)) % 17.00/17.27 (define @t202 () (not @t190)) % 17.00/17.27 (define @t203 () (or @t202 @t201)) % 17.00/17.27 (define @t204 () (not @t201)) % 17.00/17.27 (define @t205 () (not @t100)) % 17.00/17.27 (define @t206 () (not @t189)) % 17.00/17.27 (define @t207 () (and @t206 @t100)) % 17.00/17.27 (define @t208 () (not @t191)) % 17.00/17.27 (define @t209 () (@list @t191)) % 17.00/17.27 (define @t210 () (and @t189 @t201)) % 17.00/17.27 (define @t211 () (and @t88 @t190)) % 17.00/17.27 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 17.00/17.27 (assume @p2 (forall @t7 (=> @t6 @t5))) % 17.00/17.27 (assume @p3 (forall @t7 (=> @t6 @t8))) % 17.00/17.27 (assume @p4 (forall @t4 (= @t9 (tptp.unordered_pair @t2 @t1)))) % 17.00/17.27 (assume @p5 @t20) % 17.00/17.27 (assume @p6 @t32) % 17.00/17.27 (assume @p7 (forall @t4 (= @t34 (tptp.unordered_pair @t9 @t33)))) % 17.00/17.27 (assume @p8 (forall @t7 @t35)) % 17.00/17.27 (assume @p9 (forall @t7 (exists @t36 (tptp.element @t2 @t1)))) % 17.00/17.27 (assume @p10 (and @t38 @t37 (tptp.relation_empty_yielding tptp.empty_set))) % 17.00/17.27 (assume @p11 (forall @t7 (not (tptp.empty @t39)))) % 17.00/17.27 (assume @p12 @t38) % 17.00/17.27 (assume @p13 (forall @t4 (not (tptp.empty @t34)))) % 17.00/17.27 (assume @p14 (forall @t7 (and @t35 (tptp.function @t16)))) % 17.00/17.27 (assume @p15 (forall @t7 (not (tptp.empty @t33)))) % 17.00/17.27 (assume @p16 (forall @t4 (not (tptp.empty @t9)))) % 17.00/17.27 (assume @p17 (and @t38 @t37)) % 17.00/17.27 (assume @p18 (forall @t7 (=> @t42 (not @t40)))) % 17.00/17.27 (assume @p19 (forall @t7 (=> @t42 (not @t44)))) % 17.00/17.27 (assume @p20 (forall @t7 (=> @t6 (and @t40 (tptp.relation @t23))))) % 17.00/17.27 (assume @p21 (forall @t7 (=> @t6 (and @t44 (tptp.relation @t43))))) % 17.00/17.27 (assume @p22 (exists @t7 @t30)) % 17.00/17.27 (assume @p23 (exists @t7 (and @t6 @t8))) % 17.00/17.27 (assume @p24 (forall @t7 (=> @t41 (exists @t36 (and @t46 (not @t45)))))) % 17.00/17.27 (assume @p25 (exists @t7 @t6)) % 17.00/17.27 (assume @p26 (exists @t7 @t42)) % 17.00/17.27 (assume @p27 (forall @t7 (exists @t36 (and @t46 @t45)))) % 17.00/17.27 (assume @p28 (exists @t7 @t41)) % 17.00/17.27 (assume @p29 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 17.00/17.27 (assume @p30 (forall @t4 (tptp.subset @t1 @t1))) % 17.00/17.27 (assume @p31 (forall @t4 (=> @t3 @t47))) % 17.00/17.27 (assume @p32 (forall @t4 (=> @t47 (or @t45 @t3)))) % 17.00/17.27 (assume @p33 @t59) % 17.00/17.27 (assume @p34 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 17.00/17.27 (assume @p35 (forall @t61 (=> (and @t3 @t60) (tptp.element @t1 @t11)))) % 17.00/17.27 (assume @p36 (forall @t61 (not (and @t3 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:rule quant-miniscope-and :args ((= (forall @t28 (and @t172 @t169)) @t174))) % 17.00/17.27 (step @p241 :rule trans :premises (@p240 @p239)) % 17.00/17.27 (step @p242 :rule trans :premises (@p241 @p236)) % 17.00/17.27 (step @p243 :rule refl :args (@t22)) % 17.00/17.27 (step @p244 :rule bool-double-not-elim :args (@t24)) % 17.00/17.27 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or (not @t25) @t22))) % 17.00/17.27 (step @p246 :rule bool-impl-elim :args (@t25 @t22)) % 17.00/17.27 (step @p247 :rule trans :premises (@p246 @p245)) % 17.00/17.27 (step @p248 :rule bool-impl-elim :args (@t24 @t26)) % 17.00/17.27 (step @p249 :rule nary_cong :premises (@p248 @p247) :args (@t27)) % 17.00/17.27 (step @p250 :rule cong :premises (@p249) :args (@t29)) % 17.00/17.27 (step @p251 :rule trans :premises (@p250 @p242)) % 17.00/17.27 (step @p252 :rule refl :args (@t30)) % 17.00/17.27 (step @p253 :rule cong :premises (@p252 @p251) :args (@t31)) % 17.00/17.27 (step @p254 :rule cong :premises (@p253) :args (@t32)) % 17.00/17.27 (step @p255 :rule trans :premises (@p254 @p228)) % 17.00/17.27 (step @p256 :rule eq_resolve :premises (@p6 @p255)) % 17.00/17.27 (step @p257 :rule bool-eq-true :args (@t175)) % 17.00/17.27 (step @p258 :rule eq-symm :args (true @t175)) % 17.00/17.27 (step @p259 :rule trans :premises (@p258 @p257)) % 17.00/17.27 (step @p260 :rule refl :args (@t175)) % 17.00/17.27 (step @p261 :rule eq-refl :args (tptp.empty_set)) % 17.00/17.27 (step @p262 :rule cong :premises (@p261 @p260) :args ((= @t176 @t175))) % 17.00/17.27 (step @p263 :rule trans :premises (@p262 @p259)) % 17.00/17.27 (step @p264 :rule eq-symm :args (@t175 @t176)) % 17.00/17.27 (step @p265 :rule trans :premises (@p264 @p263)) % 17.00/17.27 (step @p266 :rule refl :args (@t177)) % 17.00/17.27 (step @p267 :rule nary_cong :premises (@p266 @p265) :args (@t178)) % 17.00/17.27 (step @p268 :rule refl :args (@t181)) % 17.00/17.27 (step @p269 :rule nary_cong :premises (@p268 @p267) :args (@t182)) % 17.00/17.27 (step @p270 :rule refl :args (@t93)) % 17.00/17.27 (step @p271 :rule refl :args (@t95)) % 17.00/17.27 (step @p272 :rule nary_cong :premises (@p271 @p270 @p269) :args (@t183)) % 17.00/17.27 (step @p273 :rule refl :args (@t144)) % 17.00/17.27 (step @p274 :rule cong :premises (@p273 @p272) :args ((=> @t144 @t183))) % 17.00/17.27 (assume-push @p457 @t144) % 17.00/17.27 (step @p276 :rule instantiate :premises (@p256) :args ((@list @t79 @t121 @t121 tptp.empty_set tptp.empty_set))) % 17.00/17.27 (step-pop @p458 :rule scope :premises (@p276)) % 17.00/17.27 (step @p277 :rule process_scope :premises (@p458) :args (@t183)) % 17.00/17.27 (step @p279 :rule eq_resolve :premises (@p277 @p274)) % 17.00/17.27 (step @p280 :rule implies_elim :premises (@p279)) % 17.00/17.27 (step @p281 :rule chain_m_resolution :premises (@p280 @p256) :args (@t185 @t186 (@list @t144))) % 17.00/17.27 (step @p282 :rule cnf_or_pos :args (@t185)) % 17.00/17.27 (step @p283 :rule reordering :premises (@p282) :args ((or @t95 @t93 @t184 (not @t185)))) % 17.00/17.27 (step @p284 :rule chain_m_resolution :premises (@p283 @p91 @p85 @p281) :args (@t184 @t106 (@list @t94 @t85 @t185))) % 17.00/17.27 (step @p285 :rule cnf_and_pos :args (@t184 0)) % 17.00/17.27 (step @p286 :rule reordering :premises (@p285) :args ((or @t181 (not @t184)))) % 17.00/17.27 (step @p287 :rule chain_m_resolution :premises (@p286 @p284) :args (@t181 @t186 (@list @t184))) % 17.00/17.27 (step @p288 :rule cnf_or_pos :args (@t181)) % 17.00/17.27 (step @p289 :rule reordering :premises (@p288) :args ((or @t180 @t179 (not @t181)))) % 17.00/17.27 (step @p290 :rule cnf_equiv_pos2 :args (@t179)) % 17.00/17.27 (step @p291 :rule reordering :premises (@p290) :args ((or @t126 (not @t122) (not @t179)))) % 17.00/17.27 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p287 @p201 @p199 @p119 @p172 @p171 @p165 @p156 @p155 @p138 @p119 @p106 @p101 @p104 @p103) :args (@t111 (@list false false false false false true false true true false false false false false true true) (@list @t179 @t181 @t122 @t131 @t119 @t126 @t123 @t128 @t86 @t133 @t88 @t119 @t82 @t107 @t89 @t92))) % 17.00/17.27 (step @p293 :rule cnf_equiv_pos2 :args (@t107)) % 17.00/17.27 (step @p294 :rule reordering :premises (@p293) :args ((or @t91 @t187 @t110))) % 17.00/17.27 (step @p295 :rule chain_m_resolution :premises (@p294 @p292 @p101) :args (@t187 @t188 (@list @t91 @t107))) % 17.00/17.27 (step @p296 :rule refl :args (@t193)) % 17.00/17.27 (step @p297 :rule bool-double-not-elim :args (@t82)) % 17.00/17.27 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((or (not @t187) @t193))) % 17.00/17.27 (assume-push @p459 @t187) % 17.00/17.27 (step @p300 :rule skolemize :premises (@p459)) % 17.00/17.27 (step-pop @p460 :rule scope :premises (@p300)) % 17.00/17.27 (step @p301 :rule process_scope :premises (@p460) :args (@t193)) % 17.00/17.27 (step @p303 :rule implies_elim :premises (@p301)) % 17.00/17.27 (step @p304 :rule eq_resolve :premises (@p303 @p298)) % 17.00/17.27 (step @p305 :rule chain_m_resolution :premises (@p304 @p295) :args (@t193 @t97 (@list @t82))) % 17.00/17.27 (step @p306 :rule cnf_equiv_neg2 :args (@t192)) % 17.00/17.27 (step @p307 :rule cnf_equiv_pos1 :args (@t104)) % 17.00/17.27 (step @p308 :rule reordering :premises (@p307) :args ((or @t195 @t102 @t194))) % 17.00/17.27 (step @p309 :rule cnf_and_pos :args (@t102 0)) % 17.00/17.27 (step @p310 :rule reordering :premises (@p309) :args ((or @t101 @t196))) % 17.00/17.27 (step @p311 :rule cnf_and_pos :args (@t102 1)) % 17.00/17.27 (step @p312 :rule reordering :premises (@p311) :args ((or @t100 @t196))) % 17.00/17.27 (step @p313 :rule cnf_equiv_neg1 :args (@t92)) % 17.00/17.27 (step @p314 :rule reordering :premises (@p313) :args ((or @t91 @t89 @t92))) % 17.00/17.27 (step @p315 :rule chain_m_resolution :premises (@p314 @p292 @p103) :args (@t89 @t197 (@list @t91 @t92))) % 17.00/17.27 (step @p316 :rule cnf_and_pos :args (@t89 0)) % 17.00/17.27 (step @p317 :rule reordering :premises (@p316) :args ((or @t88 @t198))) % 17.00/17.27 (step @p318 :rule chain_m_resolution :premises (@p317 @p315) :args (@t88 @t186 @t199)) % 17.00/17.27 (assume-push @p461 @t88) % 17.00/17.27 (assume-push @p462 @t101) % 17.00/17.27 (assume-push @p463 @t101) % 17.00/17.27 (assume-push @p464 @t88) % 17.00/17.27 (step @p323 :rule true_intro :premises (@p462)) % 17.00/17.27 (step @p324 :rule refl :args (@t84)) % 17.00/17.27 (step @p325 :rule cong :premises (@p324 @p461) :args (@t190)) % 17.00/17.27 (step @p326 :rule trans :premises (@p325 @p323)) % 17.00/17.27 (step @p327 :rule true_elim :premises (@p326)) % 17.00/17.27 (step-pop @p465 :rule scope :premises (@p327)) % 17.00/17.27 (step-pop @p466 :rule scope :premises (@p465)) % 17.00/17.27 (step @p328 :rule process_scope :premises (@p466) :args (@t190)) % 17.00/17.27 (step @p331 :rule and_intro :premises (@p462 @p461)) % 17.00/17.27 (step @p332 :rule modus_ponens :premises (@p331 @p328)) % 17.00/17.27 (step-pop @p467 :rule scope :premises (@p332)) % 17.00/17.27 (step-pop @p468 :rule scope :premises (@p467)) % 17.00/17.27 (step @p333 :rule process_scope :premises (@p468) :args (@t190)) % 17.00/17.27 (step @p336 :rule implies_elim :premises (@p333)) % 17.00/17.27 (step @p337 :rule cnf_and_neg :args (@t200)) % 17.00/17.27 (step @p338 :rule resolution :premises (@p337 @p336) :args (true @t200)) % 17.00/17.27 (step @p339 :rule reordering :premises (@p338) :args ((or (not @t88) @t190 (not @t101)))) % 17.00/17.27 (step @p340 :rule cnf_and_neg :args (@t191)) % 17.00/17.27 (step @p341 :rule cnf_and_pos :args (@t89 1)) % 17.00/17.27 (step @p342 :rule reordering :premises (@p341) :args ((or @t86 @t198))) % 17.00/17.27 (step @p343 :rule chain_m_resolution :premises (@p342 @p315) :args (@t86 @t186 @t199)) % 17.00/17.27 (assume-push @p469 @t86) % 17.00/17.27 (step @p345 :rule instantiate :premises (@p469) :args ((@list @t84))) % 17.00/17.27 (step-pop @p470 :rule scope :premises (@p345)) % 17.00/17.27 (step @p346 :rule process_scope :premises (@p470) :args (@t203)) % 17.00/17.27 (step @p348 :rule implies_elim :premises (@p346)) % 17.00/17.27 (step @p349 :rule chain_m_resolution :premises (@p348 @p343) :args (@t203 @t186 (@list @t86))) % 17.00/17.27 (step @p350 :rule cnf_or_pos :args (@t203)) % 17.00/17.27 (step @p351 :rule reordering :premises (@p350) :args ((or @t202 @t201 (not @t203)))) % 17.00/17.27 (step @p352 :rule refl :args (@t204)) % 17.00/17.27 (step @p353 :rule refl :args (@t205)) % 17.00/17.27 (step @p354 :rule bool-double-not-elim :args (@t189)) % 17.00/17.27 (step @p355 :rule nary_cong :premises (@p354 @p353 @p352) :args ((or (not @t206) @t205 @t204))) % 17.00/17.27 (assume-push @p471 @t206) % 17.00/17.27 (assume-push @p472 @t100) % 17.00/17.27 (assume-push @p473 @t206) % 17.00/17.27 (assume-push @p474 @t100) % 17.00/17.27 (step @p360 :rule false_intro :premises (@p471)) % 17.00/17.27 (step @p361 :rule symm :premises (@p472)) % 17.00/17.27 (step @p324 :rule refl :args (@t84)) % 17.00/17.27 (step @p362 :rule cong :premises (@p324 @p361) :args (@t201)) % 17.00/17.27 (step @p363 :rule trans :premises (@p362 @p360)) % 17.00/17.27 (step @p364 :rule false_elim :premises (@p363)) % 17.00/17.27 (step-pop @p475 :rule scope :premises (@p364)) % 17.00/17.27 (step-pop @p476 :rule scope :premises (@p475)) % 17.00/17.27 (step @p365 :rule process_scope :premises (@p476) :args (@t204)) % 17.00/17.27 (step @p368 :rule and_intro :premises (@p471 @p472)) % 17.00/17.27 (step @p369 :rule modus_ponens :premises (@p368 @p365)) % 17.00/17.27 (step-pop @p477 :rule scope :premises (@p369)) % 17.00/17.27 (step-pop @p478 :rule scope :premises (@p477)) % 17.00/17.27 (step @p370 :rule process_scope :premises (@p478) :args (@t204)) % 17.00/17.27 (step @p373 :rule implies_elim :premises (@p370)) % 17.00/17.27 (step @p374 :rule cnf_and_neg :args (@t207)) % 17.00/17.27 (step @p375 :rule resolution :premises (@p374 @p373) :args (true @t207)) % 17.00/17.27 (step @p376 :rule eq_resolve :premises (@p375 @p355)) % 17.00/17.27 (step @p377 :rule chain_m_resolution :premises (@p376 @p351 @p349 @p340 @p339 @p318 @p312 @p310 @p308 @p94 @p306 @p305) :args (@t195 (@list false false true false false false false false false true true) (@list @t201 @t203 @t189 @t190 @t88 @t100 @t101 @t102 @t104 @t191 @t192))) % 17.00/17.27 (step @p378 :rule cnf_equiv_pos2 :args (@t104)) % 17.00/17.27 (step @p379 :rule reordering :premises (@p378) :args ((or @t103 @t196 @t194))) % 17.00/17.27 (step @p380 :rule chain_m_resolution :premises (@p379 @p377 @p94) :args (@t196 @t188 (@list @t103 @t104))) % 17.00/17.27 (step @p381 :rule cnf_equiv_neg1 :args (@t192)) % 17.00/17.27 (step @p382 :rule reordering :premises (@p381) :args ((or @t103 @t191 @t192))) % 17.00/17.27 (step @p383 :rule chain_m_resolution :premises (@p382 @p377 @p305) :args (@t191 @t197 (@list @t103 @t192))) % 17.00/17.27 (step @p384 :rule cnf_and_pos :args (@t191 0)) % 17.00/17.27 (step @p385 :rule reordering :premises (@p384) :args ((or @t190 @t208))) % 17.00/17.27 (step @p386 :rule chain_m_resolution :premises (@p385 @p383) :args (@t190 @t186 @t209)) % 17.00/17.27 (step @p387 :rule chain_m_resolution :premises (@p351 @p386 @p349) :args (@t201 @t109 (@list @t190 @t203))) % 17.00/17.27 (step @p388 :rule cnf_and_pos :args (@t191 1)) % 17.00/17.27 (step @p389 :rule reordering :premises (@p388) :args ((or @t189 @t208))) % 17.00/17.27 (step @p390 :rule chain_m_resolution :premises (@p389 @p383) :args (@t189 @t186 @t209)) % 17.00/17.27 (assume-push @p479 @t189) % 17.00/17.27 (assume-push @p480 @t201) % 17.00/17.27 (assume-push @p481 @t201) % 17.00/17.27 (assume-push @p482 @t189) % 17.00/17.27 (step @p395 :rule symm :premises (@p479)) % 17.00/17.27 (step @p396 :rule trans :premises (@p395 @p480)) % 17.00/17.27 (step-pop @p483 :rule scope :premises (@p396)) % 17.00/17.27 (step-pop @p484 :rule scope :premises (@p483)) % 17.00/17.27 (step @p397 :rule process_scope :premises (@p484) :args (@t100)) % 17.00/17.27 (step @p400 :rule and_intro :premises (@p480 @p479)) % 17.00/17.27 (step @p401 :rule modus_ponens :premises (@p400 @p397)) % 17.00/17.27 (step-pop @p485 :rule scope :premises (@p401)) % 17.00/17.27 (step-pop @p486 :rule scope :premises (@p485)) % 17.00/17.27 (step @p402 :rule process_scope :premises (@p486) :args (@t100)) % 17.00/17.27 (step @p405 :rule implies_elim :premises (@p402)) % 17.00/17.27 (step @p406 :rule cnf_and_neg :args (@t210)) % 17.00/17.27 (step @p407 :rule resolution :premises (@p406 @p405) :args (true @t210)) % 17.00/17.27 (step @p408 :rule reordering :premises (@p407) :args ((or @t206 @t100 @t204))) % 17.00/17.27 (step @p409 :rule chain_m_resolution :premises (@p408 @p390 @p387) :args (@t100 @t109 (@list @t189 @t201))) % 17.00/17.27 (assume-push @p487 @t88) % 17.00/17.27 (assume-push @p488 @t190) % 17.00/17.27 (assume-push @p489 @t190) % 17.00/17.27 (assume-push @p490 @t88) % 17.00/17.27 (step @p414 :rule true_intro :premises (@p488)) % 17.00/17.27 (step @p415 :rule symm :premises (@p487)) % 17.00/17.27 (step @p324 :rule refl :args (@t84)) % 17.00/17.27 (step @p416 :rule cong :premises (@p324 @p415) :args (@t101)) % 17.00/17.27 (step @p417 :rule trans :premises (@p416 @p414)) % 17.00/17.27 (step @p418 :rule true_elim :premises (@p417)) % 17.00/17.27 (step-pop @p491 :rule scope :premises (@p418)) % 17.00/17.27 (step-pop @p492 :rule scope :premises (@p491)) % 17.00/17.27 (step @p419 :rule process_scope :premises (@p492) :args (@t101)) % 17.00/17.27 (step @p422 :rule and_intro :premises (@p488 @p487)) % 17.00/17.27 (step @p423 :rule modus_ponens :premises (@p422 @p419)) % 17.00/17.27 (step-pop @p493 :rule scope :premises (@p423)) % 17.00/17.27 (step-pop @p494 :rule scope :premises (@p493)) % 17.00/17.27 (step @p424 :rule process_scope :premises (@p494) :args (@t101)) % 17.00/17.27 (step @p427 :rule implies_elim :premises (@p424)) % 17.00/17.27 (step @p428 :rule cnf_and_neg :args (@t211)) % 17.00/17.27 (step @p429 :rule resolution :premises (@p428 @p427) :args (true @t211)) % 17.00/17.27 (step @p430 :rule chain_m_resolution :premises (@p429 @p318 @p386) :args (@t101 @t109 (@list @t88 @t190))) % 17.00/17.27 (step @p431 :rule cnf_and_neg :args (@t102)) % 17.00/17.27 (step @p432 false :rule chain_m_resolution :premises (@p431 @p430 @p409 @p380) :args (false (@list false false true) (@list @t101 @t100 @t102))) % 17.00/17.27 ) % 17.00/17.27 % SZS output end Proof % 17.00/17.27 % cvc5 exiting %------------------------------------------------------------------------------