%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU012+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:50:27 AM UTC 2026 % Result : Theorem 37.75s 38.00s % Output : Proof 37.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU012+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 16:22:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 37.75/38.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 37.75/38.00 --- Run --no-e-matching --full-saturate-quant at 6... % 37.75/38.00 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 37.75/38.00 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 37.75/38.00 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 37.75/38.00 % SZS status Theorem % 37.75/38.00 % SZS output start Proof % 37.75/38.00 ( % 37.75/38.00 (declare-sort $$unsorted 0) % 37.75/38.00 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 37.75/38.00 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 37.75/38.00 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 37.75/38.00 (declare-const tptp.empty (-> $$unsorted Bool)) % 37.75/38.00 (declare-const tptp.relation (-> $$unsorted Bool)) % 37.75/38.00 (declare-const tptp.function (-> $$unsorted Bool)) % 37.75/38.00 (declare-const tptp.empty_set $$unsorted) % 37.75/38.00 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 37.75/38.00 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 37.75/38.00 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 37.75/38.00 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 37.75/38.00 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 37.75/38.00 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 37.75/38.00 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 37.75/38.00 (define @t1 () (@var "A" $$unsorted)) % 37.75/38.00 (define @t2 () (@var "B" $$unsorted)) % 37.75/38.00 (define @t3 () (tptp.in @t1 @t2)) % 37.75/38.00 (define @t4 () (@list @t1 @t2)) % 37.75/38.00 (define @t5 () (tptp.function @t1)) % 37.75/38.00 (define @t6 () (tptp.empty @t1)) % 37.75/38.00 (define @t7 () (@list @t1)) % 37.75/38.00 (define @t8 () (tptp.relation @t1)) % 37.75/38.00 (define @t9 () (@var "D" $$unsorted)) % 37.75/38.00 (define @t10 () (@var "C" $$unsorted)) % 37.75/38.00 (define @t11 () (= @t10 (tptp.apply @t1 @t9))) % 37.75/38.00 (define @t12 () (tptp.relation_dom @t1)) % 37.75/38.00 (define @t13 () (tptp.in @t9 @t12)) % 37.75/38.00 (define @t14 () (and @t13 @t11)) % 37.75/38.00 (define @t15 () (@list @t9)) % 37.75/38.00 (define @t16 () (exists @t15 @t14)) % 37.75/38.00 (define @t17 () (tptp.in @t10 @t2)) % 37.75/38.00 (define @t18 () (= @t17 @t16)) % 37.75/38.00 (define @t19 () (@list @t10)) % 37.75/38.00 (define @t20 () (forall @t19 @t18)) % 37.75/38.00 (define @t21 () (tptp.relation_rng @t1)) % 37.75/38.00 (define @t22 () (= @t2 @t21)) % 37.75/38.00 (define @t23 () (= @t22 @t20)) % 37.75/38.00 (define @t24 () (@list @t2)) % 37.75/38.00 (define @t25 () (forall @t24 @t23)) % 37.75/38.00 (define @t26 () (and @t8 @t5)) % 37.75/38.00 (define @t27 () (=> @t26 @t25)) % 37.75/38.00 (define @t28 () (forall @t7 @t27)) % 37.75/38.00 (define @t29 () (tptp.relation_composition @t1 @t2)) % 37.75/38.00 (define @t30 () (tptp.relation @t29)) % 37.75/38.00 (define @t31 () (tptp.relation @t2)) % 37.75/38.00 (define @t32 () (tptp.identity_relation @t1)) % 37.75/38.00 (define @t33 () (tptp.relation @t32)) % 37.75/38.00 (define @t34 () (tptp.relation_composition @t2 @t1)) % 37.75/38.00 (define @t35 () (and @t6 @t31)) % 37.75/38.00 (define @t36 () (tptp.relation tptp.empty_set)) % 37.75/38.00 (define @t37 () (tptp.empty tptp.empty_set)) % 37.75/38.00 (define @t38 () (tptp.function @t2)) % 37.75/38.00 (define @t39 () (tptp.powerset @t1)) % 37.75/38.00 (define @t40 () (tptp.empty @t12)) % 37.75/38.00 (define @t41 () (not @t6)) % 37.75/38.00 (define @t42 () (and @t41 @t8)) % 37.75/38.00 (define @t43 () (tptp.empty @t21)) % 37.75/38.00 (define @t44 () (tptp.empty @t2)) % 37.75/38.00 (define @t45 () (tptp.element @t2 @t39)) % 37.75/38.00 (define @t46 () (tptp.element @t1 @t2)) % 37.75/38.00 (define @t47 () (tptp.apply @t2 @t1)) % 37.75/38.00 (define @t48 () (= (tptp.apply (tptp.relation_composition @t2 @t10) @t1) (tptp.apply @t10 @t47))) % 37.75/38.00 (define @t49 () (tptp.relation_dom @t2)) % 37.75/38.00 (define @t50 () (tptp.in @t1 @t49)) % 37.75/38.00 (define @t51 () (=> @t50 @t48)) % 37.75/38.00 (define @t52 () (tptp.function @t10)) % 37.75/38.00 (define @t53 () (tptp.relation @t10)) % 37.75/38.00 (define @t54 () (and @t53 @t52)) % 37.75/38.00 (define @t55 () (forall @t19 (=> @t54 @t51))) % 37.75/38.00 (define @t56 () (and @t31 @t38)) % 37.75/38.00 (define @t57 () (=> @t56 @t55)) % 37.75/38.00 (define @t58 () (forall @t4 @t57)) % 37.75/38.00 (define @t59 () (tptp.apply @t2 @t10)) % 37.75/38.00 (define @t60 () (tptp.in @t10 @t1)) % 37.75/38.00 (define @t61 () (=> @t60 (= @t59 @t10))) % 37.75/38.00 (define @t62 () (forall @t19 @t61)) % 37.75/38.00 (define @t63 () (and (= @t49 @t1) @t62)) % 37.75/38.00 (define @t64 () (= @t2 @t32)) % 37.75/38.00 (define @t65 () (= @t64 @t63)) % 37.75/38.00 (define @t66 () (=> @t56 @t65)) % 37.75/38.00 (define @t67 () (forall @t4 @t66)) % 37.75/38.00 (define @t68 () (= @t2 (tptp.identity_relation @t49))) % 37.75/38.00 (define @t69 () (= @t21 @t49)) % 37.75/38.00 (define @t70 () (and @t69 (= @t29 @t1))) % 37.75/38.00 (define @t71 () (=> @t70 @t68)) % 37.75/38.00 (define @t72 () (=> @t56 @t71)) % 37.75/38.00 (define @t73 () (forall @t24 @t72)) % 37.75/38.00 (define @t74 () (=> @t26 @t73)) % 37.75/38.00 (define @t75 () (forall @t7 @t74)) % 37.75/38.00 (define @t76 () (not @t75)) % 37.75/38.00 (define @t77 () (tptp.element @t2 (tptp.powerset @t10))) % 37.75/38.00 (define @t78 () (@list @t1 @t2 @t10)) % 37.75/38.00 (define @t79 () (@var "BOUND_VARIABLE_7840" $$unsorted)) % 37.75/38.00 (define @t80 () (tptp.relation_dom @t79)) % 37.75/38.00 (define @t81 () (= @t79 (tptp.identity_relation @t80))) % 37.75/38.00 (define @t82 () (not (= @t1 (tptp.relation_composition @t1 @t79)))) % 37.75/38.00 (define @t83 () (not (= @t21 @t80))) % 37.75/38.00 (define @t84 () (not (tptp.function @t79))) % 37.75/38.00 (define @t85 () (not (tptp.relation @t79))) % 37.75/38.00 (define @t86 () (not @t5)) % 37.75/38.00 (define @t87 () (not @t8)) % 37.75/38.00 (define @t88 () (or @t87 @t86 @t85 @t84 @t83 @t82 @t81)) % 37.75/38.00 (define @t89 () (or @t85 @t84 @t83 @t82 @t81)) % 37.75/38.00 (define @t90 () (or @t87 @t86 @t89)) % 37.75/38.00 (define @t91 () (@list @t1 @t79)) % 37.75/38.00 (define @t92 () (forall @t91 @t90)) % 37.75/38.00 (define @t93 () (@list @t79)) % 37.75/38.00 (define @t94 () (forall @t93 @t90)) % 37.75/38.00 (define @t95 () (forall @t93 @t89)) % 37.75/38.00 (define @t96 () (@list @t2)) % 37.75/38.00 (define @t97 () (or @t87 @t86 @t95)) % 37.75/38.00 (define @t98 () (= @t1 @t29)) % 37.75/38.00 (define @t99 () (not @t98)) % 37.75/38.00 (define @t100 () (not @t69)) % 37.75/38.00 (define @t101 () (not @t38)) % 37.75/38.00 (define @t102 () (not @t31)) % 37.75/38.00 (define @t103 () (or @t102 @t101 @t100 @t99 @t68)) % 37.75/38.00 (define @t104 () (forall @t24 @t103)) % 37.75/38.00 (define @t105 () (or @t87 @t86 @t104)) % 37.75/38.00 (define @t106 () (or @t87 @t86)) % 37.75/38.00 (define @t107 () (not @t26)) % 37.75/38.00 (define @t108 () (or @t100 @t99 @t68)) % 37.75/38.00 (define @t109 () (or @t102 @t101)) % 37.75/38.00 (define @t110 () (and @t69 @t98)) % 37.75/38.00 (define @t111 () (=> @t110 @t68)) % 37.75/38.00 (define @t112 () (not @t56)) % 37.75/38.00 (define @t113 () (forall @t91 @t88)) % 37.75/38.00 (define @t114 () (@quantifiers_skolemize @t113 1)) % 37.75/38.00 (define @t115 () (@quantifiers_skolemize @t113 0)) % 37.75/38.00 (define @t116 () (tptp.relation_composition @t115 @t114)) % 37.75/38.00 (define @t117 () (= @t115 @t116)) % 37.75/38.00 (define @t118 () (tptp.relation_dom @t114)) % 37.75/38.00 (define @t119 () (= @t114 (tptp.identity_relation @t118))) % 37.75/38.00 (define @t120 () (not @t117)) % 37.75/38.00 (define @t121 () (tptp.relation_rng @t115)) % 37.75/38.00 (define @t122 () (= @t121 @t118)) % 37.75/38.00 (define @t123 () (not @t122)) % 37.75/38.00 (define @t124 () (tptp.function @t114)) % 37.75/38.00 (define @t125 () (not @t124)) % 37.75/38.00 (define @t126 () (tptp.relation @t114)) % 37.75/38.00 (define @t127 () (not @t126)) % 37.75/38.00 (define @t128 () (tptp.function @t115)) % 37.75/38.00 (define @t129 () (not @t128)) % 37.75/38.00 (define @t130 () (tptp.relation @t115)) % 37.75/38.00 (define @t131 () (not @t130)) % 37.75/38.00 (define @t132 () (or @t131 @t129 @t127 @t125 @t123 @t120 @t119)) % 37.75/38.00 (define @t133 () (@list true)) % 37.75/38.00 (define @t134 () (@list @t132)) % 37.75/38.00 (define @t135 () (= @t10 @t59)) % 37.75/38.00 (define @t136 () (= @t64 (and (= @t1 @t49) (forall @t19 (or (not @t60) @t135))))) % 37.75/38.00 (define @t137 () (or @t102 @t101 @t136)) % 37.75/38.00 (define @t138 () (forall @t19 (or (not (tptp.in @t10 @t118)) (= @t10 (tptp.apply @t114 @t10))))) % 37.75/38.00 (define @t139 () (and (= @t118 @t118) @t138)) % 37.75/38.00 (define @t140 () (= @t119 @t139)) % 37.75/38.00 (define @t141 () (or @t127 @t125 @t140)) % 37.75/38.00 (define @t142 () (forall @t4 @t137)) % 37.75/38.00 (define @t143 () (= @t119 @t138)) % 37.75/38.00 (define @t144 () (or @t127 @t125 @t143)) % 37.75/38.00 (define @t145 () (@list false)) % 37.75/38.00 (define @t146 () (@list false false false)) % 37.75/38.00 (define @t147 () (not @t138)) % 37.75/38.00 (define @t148 () (@quantifiers_skolemize @t138 0)) % 37.75/38.00 (define @t149 () (= @t148 (tptp.apply @t114 @t148))) % 37.75/38.00 (define @t150 () (tptp.in @t148 @t118)) % 37.75/38.00 (define @t151 () (not @t150)) % 37.75/38.00 (define @t152 () (or @t151 @t149)) % 37.75/38.00 (define @t153 () (not @t149)) % 37.75/38.00 (define @t154 () (@list @t152)) % 37.75/38.00 (define @t155 () (@var "BOUND_VARIABLE_7643" $$unsorted)) % 37.75/38.00 (define @t156 () (tptp.in @t10 @t155)) % 37.75/38.00 (define @t157 () (not (forall @t15 (or (not @t13) (not @t11))))) % 37.75/38.00 (define @t158 () (forall @t19 (= @t156 @t157))) % 37.75/38.00 (define @t159 () (= (= @t155 @t21) @t158)) % 37.75/38.00 (define @t160 () (or @t87 @t86 @t159)) % 37.75/38.00 (define @t161 () (@list @t1 @t155)) % 37.75/38.00 (define @t162 () (forall @t161 @t160)) % 37.75/38.00 (define @t163 () (@list @t155)) % 37.75/38.00 (define @t164 () (forall @t163 @t160)) % 37.75/38.00 (define @t165 () (forall @t163 @t159)) % 37.75/38.00 (define @t166 () (or @t87 @t86 @t165)) % 37.75/38.00 (define @t167 () (forall @t24 (= @t22 (forall @t19 (= @t17 @t157))))) % 37.75/38.00 (define @t168 () (or @t87 @t86 @t167)) % 37.75/38.00 (define @t169 () (forall @t15 (not @t14))) % 37.75/38.00 (define @t170 () (not @t169)) % 37.75/38.00 (define @t171 () (tptp.apply @t115 @t9)) % 37.75/38.00 (define @t172 () (tptp.relation_dom @t115)) % 37.75/38.00 (define @t173 () (not (tptp.in @t9 @t172))) % 37.75/38.00 (define @t174 () (forall @t19 (= (not (forall @t15 (or @t173 (not (= @t10 @t171))))) (tptp.in @t10 @t121)))) % 37.75/38.00 (define @t175 () (= (= @t121 @t121) @t174)) % 37.75/38.00 (define @t176 () (or @t131 @t129 @t175)) % 37.75/38.00 (define @t177 () (forall @t161 (or @t87 @t86 (= (= @t21 @t155) (forall @t19 (= @t157 @t156)))))) % 37.75/38.00 (define @t178 () (or @t131 @t129 @t174)) % 37.75/38.00 (define @t179 () (tptp.in @t148 @t121)) % 37.75/38.00 (define @t180 () (forall @t15 (or @t173 (not (= @t148 @t171))))) % 37.75/38.00 (define @t181 () (not @t180)) % 37.75/38.00 (define @t182 () (= @t181 @t179)) % 37.75/38.00 (define @t183 () (@quantifiers_skolemize @t180 0)) % 37.75/38.00 (define @t184 () (tptp.apply @t115 @t183)) % 37.75/38.00 (define @t185 () (= @t148 @t184)) % 37.75/38.00 (define @t186 () (not @t185)) % 37.75/38.00 (define @t187 () (tptp.in @t183 @t172)) % 37.75/38.00 (define @t188 () (not @t187)) % 37.75/38.00 (define @t189 () (or @t188 @t186)) % 37.75/38.00 (define @t190 () (@list @t189)) % 37.75/38.00 (define @t191 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 37.75/38.00 (define @t192 () (= (tptp.apply (tptp.relation_composition @t2 @t191) @t1) (tptp.apply @t191 @t47))) % 37.75/38.00 (define @t193 () (not (tptp.function @t191))) % 37.75/38.00 (define @t194 () (not (tptp.relation @t191))) % 37.75/38.00 (define @t195 () (not @t50)) % 37.75/38.00 (define @t196 () (or @t194 @t193 @t192)) % 37.75/38.00 (define @t197 () (or @t102 @t101 @t195 @t196)) % 37.75/38.00 (define @t198 () (forall (@list @t1 @t2 @t191) @t197)) % 37.75/38.00 (define @t199 () (@list @t191)) % 37.75/38.00 (define @t200 () (forall @t199 @t197)) % 37.75/38.00 (define @t201 () (forall @t199 @t196)) % 37.75/38.00 (define @t202 () (or @t102 @t101 @t195 @t201)) % 37.75/38.00 (define @t203 () (not @t52)) % 37.75/38.00 (define @t204 () (not @t53)) % 37.75/38.00 (define @t205 () (or @t204 @t203 @t48)) % 37.75/38.00 (define @t206 () (forall @t19 @t205)) % 37.75/38.00 (define @t207 () (or @t102 @t101 @t195 @t206)) % 37.75/38.00 (define @t208 () (or @t195 @t206)) % 37.75/38.00 (define @t209 () (or @t195 @t205)) % 37.75/38.00 (define @t210 () (or @t204 @t203 @t195 @t48)) % 37.75/38.00 (define @t211 () (tptp.apply @t114 @t184)) % 37.75/38.00 (define @t212 () (tptp.apply @t116 @t183)) % 37.75/38.00 (define @t213 () (= @t212 @t211)) % 37.75/38.00 (define @t214 () (or @t131 @t129 @t188 @t127 @t125 @t213)) % 37.75/38.00 (define @t215 () (not @t213)) % 37.75/38.00 (define @t216 () (and @t213 @t215)) % 37.75/38.00 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 37.75/38.00 (assume @p2 (forall @t7 (=> @t6 @t5))) % 37.75/38.00 (assume @p3 (forall @t7 (=> @t6 @t8))) % 37.75/38.00 (assume @p4 @t28) % 37.75/38.00 (assume @p5 (forall @t4 (=> (and @t8 @t31) @t30))) % 37.75/38.00 (assume @p6 (forall @t7 @t33)) % 37.75/38.00 (assume @p7 (forall @t7 (exists @t24 (tptp.element @t2 @t1)))) % 37.75/38.00 (assume @p8 (forall @t4 (=> @t35 (and (tptp.empty @t34) (tptp.relation @t34))))) % 37.75/38.00 (assume @p9 (and @t37 @t36 (tptp.relation_empty_yielding tptp.empty_set))) % 37.75/38.00 (assume @p10 (forall @t4 (=> (and @t8 @t5 @t31 @t38) (and @t30 (tptp.function @t29))))) % 37.75/38.00 (assume @p11 (forall @t7 (not (tptp.empty @t39)))) % 37.75/38.00 (assume @p12 @t37) % 37.75/38.00 (assume @p13 (forall @t7 (and @t33 (tptp.function @t32)))) % 37.75/38.00 (assume @p14 (and @t37 @t36)) % 37.75/38.00 (assume @p15 (forall @t7 (=> @t42 (not @t40)))) % 37.75/38.00 (assume @p16 (forall @t7 (=> @t42 (not @t43)))) % 37.75/38.00 (assume @p17 (forall @t7 (=> @t6 (and @t40 (tptp.relation @t12))))) % 37.75/38.00 (assume @p18 (forall @t7 (=> @t6 (and @t43 (tptp.relation @t21))))) % 37.75/38.00 (assume @p19 (forall @t4 (=> @t35 (and (tptp.empty @t29) @t30)))) % 37.75/38.00 (assume @p20 (exists @t7 @t26)) % 37.75/38.00 (assume @p21 (exists @t7 (and @t6 @t8))) % 37.75/38.00 (assume @p22 (forall @t7 (=> @t41 (exists @t24 (and @t45 (not @t44)))))) % 37.75/38.00 (assume @p23 (exists @t7 @t6)) % 37.75/38.00 (assume @p24 (exists @t7 @t42)) % 37.75/38.00 (assume @p25 (forall @t7 (exists @t24 (and @t45 @t44)))) % 37.75/38.00 (assume @p26 (exists @t7 @t41)) % 37.75/38.00 (assume @p27 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 37.75/38.00 (assume @p28 (forall @t4 (tptp.subset @t1 @t1))) % 37.75/38.00 (assume @p29 (forall @t4 (=> @t3 @t46))) % 37.75/38.00 (assume @p30 @t58) % 37.75/38.00 (assume @p31 (forall @t4 (=> @t46 (or @t44 @t3)))) % 37.75/38.00 (assume @p32 @t67) % 37.75/38.00 (assume @p33 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 37.75/38.00 (assume 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37.75/38.01 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 37.75/38.01 (step @p233 :rule reordering :premises (@p232) :args ((or @t130 @t132))) % 37.75/38.01 (step @p234 :rule chain_m_resolution :premises (@p233 @p92) :args (@t130 @t133 @t134)) % 37.75/38.01 (step @p235 :rule cnf_or_pos :args (@t178)) % 37.75/38.01 (step @p236 :rule reordering :premises (@p235) :args ((or @t131 @t129 @t174 (not @t178)))) % 37.75/38.01 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p228 @p222) :args (@t174 @t146 (@list @t130 @t128 @t178))) % 37.75/38.01 (step @p238 :rule instantiate :premises (@p237) :args ((@list @t148))) % 37.75/38.01 (step @p239 :rule bool-double-not-elim :args (@t150)) % 37.75/38.01 (step @p240 :rule refl :args (@t152)) % 37.75/38.01 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t152 (not @t151)))) % 37.75/38.01 (step @p242 :rule cnf_or_neg :args (@t152 0)) % 37.75/38.01 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 37.75/38.01 (step @p244 :rule reordering :premises (@p243) :args ((or @t150 @t152))) % 37.75/38.01 (step @p245 :rule chain_m_resolution :premises (@p244 @p161) :args (@t150 @t133 @t154)) % 37.75/38.01 (step @p246 :rule true_intro :premises (@p245)) % 37.75/38.01 (step @p247 :rule bool-double-not-elim :args (@t122)) % 37.75/38.01 (step @p248 :rule nary_cong :premises (@p94 @p247) :args ((or @t132 (not @t123)))) % 37.75/38.01 (step @p249 :rule cnf_or_neg :args (@t132 4)) % 37.75/38.01 (step @p250 :rule eq_resolve :premises (@p249 @p248)) % 37.75/38.01 (step @p251 :rule reordering :premises (@p250) :args ((or @t122 @t132))) % 37.75/38.01 (step @p252 :rule chain_m_resolution :premises (@p251 @p92) :args (@t122 @t133 @t134)) % 37.75/38.01 (step @p253 :rule refl :args (@t148)) % 37.75/38.01 (step @p254 :rule cong :premises (@p253 @p252) :args (@t179)) % 37.75/38.01 (step @p255 :rule trans :premises (@p254 @p246)) % 37.75/38.01 (step @p256 :rule true_elim :premises (@p255)) % 37.75/38.01 (step @p257 :rule cnf_equiv_pos2 :args (@t182)) % 37.75/38.01 (step @p258 :rule reordering :premises (@p257) :args ((or @t181 (not @t179) (not @t182)))) % 37.75/38.01 (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p238) :args (@t181 (@list false false) (@list @t179 @t182))) % 37.75/38.01 (step @p260 :rule skolemize :premises (@p259)) % 37.75/38.01 (step @p261 :rule bool-double-not-elim :args (@t185)) % 37.75/38.01 (step @p262 :rule refl :args (@t189)) % 37.75/38.01 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or @t189 (not @t186)))) % 37.75/38.01 (step @p264 :rule cnf_or_neg :args (@t189 1)) % 37.75/38.01 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 37.75/38.01 (step @p266 :rule reordering :premises (@p265) :args ((or @t185 @t189))) % 37.75/38.01 (step @p267 :rule chain_m_resolution :premises (@p266 @p260) :args (@t185 @t133 @t190)) % 37.75/38.01 (step @p268 :rule aci_norm :args ((= @t197 (or @t102 @t101 @t195 @t194 @t193 @t192)))) % 37.75/38.01 (step @p269 :rule cong :premises (@p268) :args (@t198)) % 37.75/38.01 (step @p270 :rule quant-merge-prenex :args ((= (forall @t4 @t200) @t198))) % 37.75/38.01 (step @p271 :rule alpha_equiv :args (@t201 (@list @t191) (@list @t10))) % 37.75/38.01 (step @p272 :rule refl :args (@t195)) % 37.75/38.01 (step @p273 :rule refl :args (@t101)) % 37.75/38.01 (step @p274 :rule refl :args (@t102)) % 37.75/38.01 (step @p275 :rule nary_cong :premises (@p274 @p273 @p272 @p271) :args (@t202)) % 37.75/38.01 (step @p276 :rule quant-miniscope-or :args ((= @t200 @t202))) % 37.75/38.01 (step @p277 :rule trans :premises (@p276 @p275)) % 37.75/38.01 (step @p278 :rule symm :premises (@p277)) % 37.75/38.01 (step @p279 :rule cong :premises (@p278) :args ((forall @t4 @t207))) % 37.75/38.01 (step @p280 :rule trans :premises (@p279 @p270)) % 37.75/38.01 (step @p281 :rule trans :premises (@p280 @p269)) % 37.75/38.01 (step @p282 :rule aci_norm :args ((= (or @t109 @t208) @t207))) % 37.75/38.01 (step @p283 :rule refl :args (@t208)) % 37.75/38.01 (step @p284 :rule nary_cong :premises (@p71 @p283) :args ((or @t112 @t208))) % 37.75/38.01 (step @p285 :rule trans :premises (@p284 @p282)) % 37.75/38.01 (step @p286 :rule bool-impl-elim :args (@t56 @t208)) % 37.75/38.01 (step @p287 :rule trans :premises (@p286 @p285)) % 37.75/38.01 (step @p288 :rule cong :premises (@p287) :args ((forall @t4 (=> @t56 @t208)))) % 37.75/38.01 (step @p289 :rule trans :premises (@p288 @p281)) % 37.75/38.01 (step @p290 :rule quant-miniscope-or :args ((= (forall @t19 @t209) @t208))) % 37.75/38.01 (step @p291 :rule aci_norm :args ((= @t210 @t209))) % 37.75/38.01 (step @p292 :rule cong :premises (@p291) :args ((forall @t19 @t210))) % 37.75/38.01 (step @p293 :rule trans :premises (@p292 @p290)) % 37.75/38.01 (step @p294 :rule aci_norm :args ((= (or (or @t204 @t203) (or @t195 @t48)) @t210))) % 37.75/38.01 (step @p295 :rule bool-impl-elim :args (@t50 @t48)) % 37.75/38.01 (step @p296 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 37.75/38.01 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or (not @t54) @t51))) % 37.75/38.01 (step @p298 :rule trans :premises (@p297 @p294)) % 37.75/38.01 (step @p299 :rule bool-impl-elim :args (@t54 @t51)) % 37.75/38.01 (step @p300 :rule trans :premises (@p299 @p298)) % 37.75/38.01 (step @p301 :rule cong :premises (@p300) :args (@t55)) % 37.75/38.01 (step @p302 :rule trans :premises (@p301 @p293)) % 37.75/38.01 (step @p303 :rule cong :premises (@p82 @p302) :args (@t57)) % 37.75/38.01 (step @p304 :rule cong :premises (@p303) :args (@t58)) % 37.75/38.01 (step @p305 :rule trans :premises (@p304 @p289)) % 37.75/38.01 (step @p306 :rule eq_resolve :premises (@p30 @p305)) % 37.75/38.01 (step @p307 :rule instantiate :premises (@p306) :args ((@list @t183 @t115 @t114))) % 37.75/38.01 (step @p308 :rule bool-double-not-elim :args (@t187)) % 37.75/38.01 (step @p309 :rule nary_cong :premises (@p262 @p308) :args ((or @t189 (not @t188)))) % 37.75/38.01 (step @p310 :rule cnf_or_neg :args (@t189 0)) % 37.75/38.01 (step @p311 :rule eq_resolve :premises (@p310 @p309)) % 37.75/38.01 (step @p312 :rule reordering :premises (@p311) :args ((or @t187 @t189))) % 37.75/38.01 (step @p313 :rule chain_m_resolution :premises (@p312 @p260) :args (@t187 @t133 @t190)) % 37.75/38.01 (step @p314 :rule cnf_or_pos :args (@t214)) % 37.75/38.01 (step @p315 :rule reordering :premises (@p314) :args ((or @t131 @t129 @t127 @t125 @t188 @t213 (not @t214)))) % 37.75/38.01 (step @p316 :rule chain_m_resolution :premises (@p315 @p234 @p228 @p152 @p146 @p313 @p307) :args (@t213 (@list false false false false false false) (@list @t130 @t128 @t126 @t124 @t187 @t214))) % 37.75/38.01 (step @p317 :rule refl :args (@t215)) % 37.75/38.01 (step @p318 :rule refl :args (@t186)) % 37.75/38.01 (step @p319 :rule bool-double-not-elim :args (@t149)) % 37.75/38.01 (step @p320 :rule refl :args (@t120)) % 37.75/38.01 (step @p321 :rule nary_cong :premises (@p320 @p319 @p318 @p317) :args ((or @t120 (not @t153) @t186 @t215))) % 37.75/38.01 (assume-push @p363 @t213) % 37.75/38.01 (assume-push @p364 @t215) % 37.75/38.01 (step @p324 :rule evaluate :args ((= false true))) % 37.75/38.01 (step @p325 :rule true_intro :premises (@p316)) % 37.75/38.01 (step @p326 :rule false_intro :premises (@p163)) % 37.75/38.01 (step @p327 :rule symm :premises (@p267)) % 37.75/38.01 (step @p328 :rule refl :args (@t114)) % 37.75/38.01 (step @p329 :rule cong :premises (@p328 @p327) :args (@t211)) % 37.75/38.01 (step @p330 :rule refl :args (@t183)) % 37.75/38.01 (step @p331 :rule symm :premises (@p99)) % 37.75/38.01 (step @p332 :rule cong :premises (@p331 @p330) :args (@t212)) % 37.75/38.01 (step @p333 :rule trans :premises (@p332 @p327)) % 37.75/38.01 (step @p334 :rule cong :premises (@p333 @p329) :args (@t213)) % 37.75/38.01 (step @p335 :rule trans :premises (@p334 @p326)) % 37.75/38.01 (step @p336 :rule symm :premises (@p335)) % 37.75/38.01 (step @p337 :rule trans :premises (@p336 @p325)) % 37.75/38.01 (step @p338 false :rule eq_resolve :premises (@p337 @p324)) % 37.75/38.01 (step-pop @p365 :rule scope :premises (@p338)) % 37.75/38.01 (step-pop @p366 :rule scope :premises (@p365)) % 37.75/38.01 (step @p339 :rule process_scope :premises (@p366) :args (false)) % 37.75/38.01 (assume-push @p367 @t117) % 37.75/38.01 (assume-push @p368 @t153) % 37.75/38.01 (assume-push @p369 @t185) % 37.75/38.01 (assume-push @p370 @t213) % 37.75/38.01 (step @p326 :rule false_intro :premises (@p163)) % 37.75/38.01 (step @p327 :rule symm :premises (@p267)) % 37.75/38.01 (step @p328 :rule refl :args (@t114)) % 37.75/38.01 (step @p329 :rule cong :premises (@p328 @p327) :args (@t211)) % 37.75/38.01 (step @p330 :rule refl :args (@t183)) % 37.75/38.01 (step @p331 :rule symm :premises (@p99)) % 37.75/38.01 (step @p332 :rule cong :premises (@p331 @p330) :args (@t212)) % 37.75/38.01 (step @p333 :rule trans :premises (@p332 @p327)) % 37.75/38.01 (step @p334 :rule cong :premises (@p333 @p329) :args (@t213)) % 37.75/38.01 (step @p346 :rule trans :premises (@p334 @p326)) % 37.75/38.01 (step @p347 :rule false_elim :premises (@p346)) % 37.75/38.01 (step @p348 :rule and_intro :premises (@p316 @p347)) % 37.75/38.01 (step-pop @p371 :rule scope :premises (@p348)) % 37.75/38.01 (step-pop @p372 :rule scope :premises (@p371)) % 37.75/38.01 (step-pop @p373 :rule scope :premises (@p372)) % 37.75/38.01 (step-pop @p374 :rule scope :premises (@p373)) % 37.75/38.01 (step @p349 :rule process_scope :premises (@p374) :args (@t216)) % 37.75/38.01 (step @p354 :rule implies_elim :premises (@p349)) % 37.75/38.01 (step @p355 :rule resolution :premises (@p354 @p339) :args (true @t216)) % 37.75/38.01 (step @p356 :rule not_and :premises (@p355)) % 37.75/38.01 (step @p357 :rule eq_resolve :premises (@p356 @p321)) % 37.75/38.01 (step @p358 false :rule chain_m_resolution :premises (@p357 @p316 @p267 @p163 @p99) :args (false (@list false false true false) (@list @t213 @t185 @t149 @t117))) % 37.75/38.01 ) % 37.75/38.01 % SZS output end Proof % 37.75/38.01 % cvc5 exiting %------------------------------------------------------------------------------