%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU042+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 : n003.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 08:50:29 AM UTC 2026 % Result : Theorem 33.71s 33.92s % Output : Proof 33.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU042+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 16:24:29 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 33.71/33.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.71/33.92 --- Run --no-e-matching --full-saturate-quant at 6... % 33.71/33.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.71/33.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.71/33.92 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.71/33.92 % SZS status Theorem % 33.71/33.92 % SZS output start Proof % 33.71/33.92 ( % 33.71/33.92 (declare-sort $$unsorted 0) % 33.71/33.92 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.71/33.92 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.71/33.92 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 33.71/33.92 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.71/33.92 (declare-const tptp.function (-> $$unsorted Bool)) % 33.71/33.92 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 33.71/33.92 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 33.71/33.92 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 33.71/33.92 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.71/33.92 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 33.71/33.92 (declare-const tptp.empty_set $$unsorted) % 33.71/33.92 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.71/33.92 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 33.71/33.92 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 33.71/33.92 (define @t1 () (@var "A" $$unsorted)) % 33.71/33.92 (define @t2 () (@var "B" $$unsorted)) % 33.71/33.92 (define @t3 () (tptp.in @t1 @t2)) % 33.71/33.92 (define @t4 () (@list @t1 @t2)) % 33.71/33.92 (define @t5 () (tptp.function @t1)) % 33.71/33.92 (define @t6 () (tptp.empty @t1)) % 33.71/33.92 (define @t7 () (@list @t1)) % 33.71/33.92 (define @t8 () (tptp.relation @t1)) % 33.71/33.92 (define @t9 () (tptp.one_to_one @t1)) % 33.71/33.92 (define @t10 () (and @t8 @t5 @t9)) % 33.71/33.92 (define @t11 () (and @t8 @t6 @t5)) % 33.71/33.92 (define @t12 () (tptp.set_intersection2 @t1 @t2)) % 33.71/33.92 (define @t13 () (@var "D" $$unsorted)) % 33.71/33.92 (define @t14 () (@var "C" $$unsorted)) % 33.71/33.92 (define @t15 () (@list @t13)) % 33.71/33.92 (define @t16 () (forall @t15 (= (tptp.in @t13 @t14) (and (tptp.in @t13 @t1) (tptp.in @t13 @t2))))) % 33.71/33.92 (define @t17 () (= (= @t14 @t12) @t16)) % 33.71/33.92 (define @t18 () (@list @t1 @t2 @t14)) % 33.71/33.92 (define @t19 () (forall @t18 @t17)) % 33.71/33.92 (define @t20 () (= @t2 @t14)) % 33.71/33.92 (define @t21 () (= (tptp.apply @t1 @t2) (tptp.apply @t1 @t14))) % 33.71/33.92 (define @t22 () (tptp.relation_dom @t1)) % 33.71/33.92 (define @t23 () (tptp.in @t14 @t22)) % 33.71/33.92 (define @t24 () (tptp.in @t2 @t22)) % 33.71/33.92 (define @t25 () (and @t24 @t23 @t21)) % 33.71/33.92 (define @t26 () (@list @t2 @t14)) % 33.71/33.92 (define @t27 () (forall @t26 (=> @t25 @t20))) % 33.71/33.92 (define @t28 () (= @t9 @t27)) % 33.71/33.92 (define @t29 () (and @t8 @t5)) % 33.71/33.92 (define @t30 () (=> @t29 @t28)) % 33.71/33.92 (define @t31 () (forall @t7 @t30)) % 33.71/33.92 (define @t32 () (tptp.relation_dom_restriction @t1 @t2)) % 33.71/33.92 (define @t33 () (tptp.relation @t32)) % 33.71/33.92 (define @t34 () (forall @t4 (=> @t8 @t33))) % 33.71/33.92 (define @t35 () (@list @t2)) % 33.71/33.92 (define @t36 () (tptp.relation tptp.empty_set)) % 33.71/33.92 (define @t37 () (tptp.empty tptp.empty_set)) % 33.71/33.92 (define @t38 () (and @t8 (tptp.relation_empty_yielding @t1))) % 33.71/33.92 (define @t39 () (tptp.relation @t2)) % 33.71/33.92 (define @t40 () (tptp.powerset @t1)) % 33.71/33.92 (define @t41 () (and @t33 (tptp.function @t32))) % 33.71/33.92 (define @t42 () (forall @t4 (=> @t29 @t41))) % 33.71/33.92 (define @t43 () (tptp.empty @t22)) % 33.71/33.92 (define @t44 () (not @t6)) % 33.71/33.92 (define @t45 () (and @t44 @t8)) % 33.71/33.92 (define @t46 () (tptp.empty @t2)) % 33.71/33.92 (define @t47 () (tptp.element @t2 @t40)) % 33.71/33.92 (define @t48 () (tptp.element @t1 @t2)) % 33.71/33.92 (define @t49 () (tptp.element @t2 (tptp.powerset @t14))) % 33.71/33.92 (define @t50 () (tptp.apply @t2 @t13)) % 33.71/33.92 (define @t51 () (= @t50 (tptp.apply @t14 @t13))) % 33.71/33.92 (define @t52 () (tptp.relation_dom @t2)) % 33.71/33.92 (define @t53 () (tptp.in @t13 @t52)) % 33.71/33.92 (define @t54 () (forall @t15 (=> @t53 @t51))) % 33.71/33.92 (define @t55 () (= @t52 (tptp.set_intersection2 (tptp.relation_dom @t14) @t1))) % 33.71/33.92 (define @t56 () (and @t55 @t54)) % 33.71/33.92 (define @t57 () (= @t2 (tptp.relation_dom_restriction @t14 @t1))) % 33.71/33.92 (define @t58 () (= @t57 @t56)) % 33.71/33.92 (define @t59 () (tptp.function @t14)) % 33.71/33.92 (define @t60 () (tptp.relation @t14)) % 33.71/33.92 (define @t61 () (and @t60 @t59)) % 33.71/33.92 (define @t62 () (=> @t61 @t58)) % 33.71/33.92 (define @t63 () (@list @t14)) % 33.71/33.92 (define @t64 () (forall @t63 @t62)) % 33.71/33.92 (define @t65 () (tptp.function @t2)) % 33.71/33.92 (define @t66 () (and @t39 @t65)) % 33.71/33.92 (define @t67 () (=> @t66 @t64)) % 33.71/33.92 (define @t68 () (forall @t4 @t67)) % 33.71/33.92 (define @t69 () (tptp.one_to_one (tptp.relation_dom_restriction @t2 @t1))) % 33.71/33.92 (define @t70 () (tptp.one_to_one @t2)) % 33.71/33.92 (define @t71 () (=> @t70 @t69)) % 33.71/33.92 (define @t72 () (forall @t4 (=> @t66 @t71))) % 33.71/33.92 (define @t73 () (not @t72)) % 33.71/33.92 (define @t74 () (not @t21)) % 33.71/33.92 (define @t75 () (not @t23)) % 33.71/33.92 (define @t76 () (not @t24)) % 33.71/33.92 (define @t77 () (or @t76 @t75 @t74 @t20)) % 33.71/33.92 (define @t78 () (= @t9 (forall @t26 @t77))) % 33.71/33.92 (define @t79 () (not @t5)) % 33.71/33.92 (define @t80 () (not @t8)) % 33.71/33.92 (define @t81 () (or @t80 @t79)) % 33.71/33.92 (define @t82 () (not @t29)) % 33.71/33.92 (define @t83 () (or @t76 @t75 @t74)) % 33.71/33.92 (define @t84 () (not @t70)) % 33.71/33.92 (define @t85 () (not @t65)) % 33.71/33.92 (define @t86 () (not @t39)) % 33.71/33.92 (define @t87 () (or @t86 @t85 @t84 @t69)) % 33.71/33.92 (define @t88 () (forall @t4 @t87)) % 33.71/33.92 (define @t89 () (@quantifiers_skolemize @t88 1)) % 33.71/33.92 (define @t90 () (or @t86 @t85)) % 33.71/33.92 (define @t91 () (not @t66)) % 33.71/33.92 (define @t92 () (tptp.function @t89)) % 33.71/33.92 (define @t93 () (@quantifiers_skolemize @t88 0)) % 33.71/33.92 (define @t94 () (tptp.relation_dom_restriction @t89 @t93)) % 33.71/33.92 (define @t95 () (tptp.one_to_one @t94)) % 33.71/33.92 (define @t96 () (tptp.one_to_one @t89)) % 33.71/33.92 (define @t97 () (not @t96)) % 33.71/33.92 (define @t98 () (not @t92)) % 33.71/33.92 (define @t99 () (tptp.relation @t89)) % 33.71/33.92 (define @t100 () (not @t99)) % 33.71/33.92 (define @t101 () (or @t100 @t98 @t97 @t95)) % 33.71/33.92 (define @t102 () (@list true)) % 33.71/33.92 (define @t103 () (@list @t101)) % 33.71/33.92 (define @t104 () (tptp.relation_dom @t89)) % 33.71/33.92 (define @t105 () (forall @t26 (or (not (tptp.in @t2 @t104)) (not (tptp.in @t14 @t104)) (not (= (tptp.apply @t89 @t2) (tptp.apply @t89 @t14))) @t20))) % 33.71/33.92 (define @t106 () (= @t96 @t105)) % 33.71/33.92 (define @t107 () (or @t100 @t98 @t106)) % 33.71/33.92 (define @t108 () (@list false false false)) % 33.71/33.92 (define @t109 () (@list false false)) % 33.71/33.92 (define @t110 () (tptp.relation_dom @t94)) % 33.71/33.92 (define @t111 () (forall @t26 (or (not (tptp.in @t2 @t110)) (not (tptp.in @t14 @t110)) (not (= (tptp.apply @t94 @t2) (tptp.apply @t94 @t14))) @t20))) % 33.71/33.92 (define @t112 () (@quantifiers_skolemize @t111 1)) % 33.71/33.92 (define @t113 () (@quantifiers_skolemize @t111 0)) % 33.71/33.92 (define @t114 () (= @t12 @t14)) % 33.71/33.92 (define @t115 () (tptp.in @t13 @t110)) % 33.71/33.92 (define @t116 () (forall @t15 (= @t115 (and (tptp.in @t13 @t104) (tptp.in @t13 @t93))))) % 33.71/33.92 (define @t117 () (tptp.set_intersection2 @t104 @t93)) % 33.71/33.92 (define @t118 () (= @t110 @t117)) % 33.71/33.92 (define @t119 () (= @t116 (= @t117 @t110))) % 33.71/33.92 (define @t120 () (forall @t18 (= @t16 @t114))) % 33.71/33.92 (define @t121 () (= @t118 @t116)) % 33.71/33.92 (define @t122 () (@list false)) % 33.71/33.92 (define @t123 () (@var "BOUND_VARIABLE_7788" $$unsorted)) % 33.71/33.92 (define @t124 () (not @t53)) % 33.71/33.92 (define @t125 () (= (= @t2 (tptp.relation_dom_restriction @t123 @t1)) (and (= @t52 (tptp.set_intersection2 (tptp.relation_dom @t123) @t1)) (forall @t15 (or @t124 (= @t50 (tptp.apply @t123 @t13))))))) % 33.71/33.92 (define @t126 () (not (tptp.function @t123))) % 33.71/33.92 (define @t127 () (not (tptp.relation @t123))) % 33.71/33.92 (define @t128 () (or @t86 @t85 @t127 @t126 @t125)) % 33.71/33.92 (define @t129 () (or @t127 @t126 @t125)) % 33.71/33.92 (define @t130 () (or @t86 @t85 @t129)) % 33.71/33.92 (define @t131 () (@list @t1 @t2 @t123)) % 33.71/33.92 (define @t132 () (forall @t131 @t130)) % 33.71/33.92 (define @t133 () (@list @t123)) % 33.71/33.92 (define @t134 () (forall @t133 @t130)) % 33.71/33.92 (define @t135 () (forall @t133 @t129)) % 33.71/33.92 (define @t136 () (or @t86 @t85 @t135)) % 33.71/33.92 (define @t137 () (= @t57 (and @t55 (forall @t15 (or @t124 @t51))))) % 33.71/33.92 (define @t138 () (not @t59)) % 33.71/33.92 (define @t139 () (not @t60)) % 33.71/33.92 (define @t140 () (or @t139 @t138 @t137)) % 33.71/33.92 (define @t141 () (forall @t63 @t140)) % 33.71/33.92 (define @t142 () (or @t86 @t85 @t141)) % 33.71/33.92 (define @t143 () (tptp.apply @t94 @t13)) % 33.71/33.92 (define @t144 () (tptp.apply @t89 @t13)) % 33.71/33.92 (define @t145 () (not @t115)) % 33.71/33.92 (define @t146 () (forall @t15 (or @t145 (= @t144 @t143)))) % 33.71/33.92 (define @t147 () (and @t118 @t146)) % 33.71/33.92 (define @t148 () (or @t145 (= @t143 @t144))) % 33.71/33.92 (define @t149 () (forall @t15 @t148)) % 33.71/33.92 (define @t150 () (and @t118 @t149)) % 33.71/33.92 (define @t151 () (= (= @t94 @t94) @t150)) % 33.71/33.92 (define @t152 () (tptp.function @t94)) % 33.71/33.92 (define @t153 () (not @t152)) % 33.71/33.92 (define @t154 () (tptp.relation @t94)) % 33.71/33.92 (define @t155 () (not @t154)) % 33.71/33.92 (define @t156 () (or @t155 @t153 @t100 @t98 @t151)) % 33.71/33.92 (define @t157 () (forall @t131 @t128)) % 33.71/33.92 (define @t158 () (or @t155 @t153 @t100 @t98 @t147)) % 33.71/33.92 (define @t159 () (@list @t89 @t93)) % 33.71/33.92 (define @t160 () (and @t154 @t152)) % 33.71/33.92 (define @t161 () (or @t100 @t98 @t160)) % 33.71/33.92 (define @t162 () (or @t100 @t154)) % 33.71/33.92 (define @t163 () (not @t147)) % 33.71/33.92 (define @t164 () (@list @t147)) % 33.71/33.92 (define @t165 () (@list @t112)) % 33.71/33.92 (define @t166 () (= @t95 @t111)) % 33.71/33.92 (define @t167 () (or @t155 @t153 @t166)) % 33.71/33.92 (define @t168 () (not @t111)) % 33.71/33.92 (define @t169 () (tptp.in @t112 @t110)) % 33.71/33.92 (define @t170 () (= @t113 @t112)) % 33.71/33.92 (define @t171 () (tptp.apply @t94 @t112)) % 33.71/33.92 (define @t172 () (tptp.apply @t94 @t113)) % 33.71/33.92 (define @t173 () (= @t172 @t171)) % 33.71/33.92 (define @t174 () (not @t173)) % 33.71/33.92 (define @t175 () (not @t169)) % 33.71/33.92 (define @t176 () (tptp.in @t113 @t110)) % 33.71/33.92 (define @t177 () (not @t176)) % 33.71/33.92 (define @t178 () (or @t177 @t175 @t174 @t170)) % 33.71/33.92 (define @t179 () (@list @t178)) % 33.71/33.92 (define @t180 () (tptp.in @t112 @t104)) % 33.71/33.92 (define @t181 () (and @t180 (tptp.in @t112 @t93))) % 33.71/33.92 (define @t182 () (= @t169 @t181)) % 33.71/33.92 (define @t183 () (@list @t113)) % 33.71/33.92 (define @t184 () (tptp.in @t113 @t104)) % 33.71/33.92 (define @t185 () (and @t184 (tptp.in @t113 @t93))) % 33.71/33.92 (define @t186 () (= @t176 @t185)) % 33.71/33.92 (define @t187 () (tptp.apply @t89 @t112)) % 33.71/33.92 (define @t188 () (tptp.apply @t89 @t113)) % 33.71/33.92 (define @t189 () (not (= @t188 @t187))) % 33.71/33.92 (define @t190 () (not @t180)) % 33.71/33.92 (define @t191 () (not @t184)) % 33.71/33.92 (define @t192 () (or @t191 @t190 @t189 @t170)) % 33.71/33.92 (define @t193 () (or @t175 (= @t187 @t171))) % 33.71/33.92 (define @t194 () (= @t171 @t187)) % 33.71/33.92 (define @t195 () (or @t175 @t194)) % 33.71/33.92 (define @t196 () (@list @t146)) % 33.71/33.92 (define @t197 () (or @t177 (= @t188 @t172))) % 33.71/33.92 (define @t198 () (= @t172 @t188)) % 33.71/33.92 (define @t199 () (or @t177 @t198)) % 33.71/33.92 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 33.71/33.92 (assume @p2 (forall @t7 (=> @t6 @t5))) % 33.71/33.92 (assume @p3 (forall @t7 (=> @t6 @t8))) % 33.71/33.92 (assume @p4 (forall @t7 (=> @t11 @t10))) % 33.71/33.92 (assume @p5 (forall @t4 (= @t12 (tptp.set_intersection2 @t2 @t1)))) % 33.71/33.92 (assume @p6 @t19) % 33.71/33.92 (assume @p7 @t31) % 33.71/33.92 (assume @p8 @t34) % 33.71/33.92 (assume @p9 (forall @t7 (exists @t35 (tptp.element @t2 @t1)))) % 33.71/33.92 (assume @p10 (and @t37 @t36 (tptp.relation_empty_yielding tptp.empty_set))) % 33.71/33.92 (assume @p11 (forall @t4 (=> @t38 (and @t33 (tptp.relation_empty_yielding @t32))))) % 33.71/33.92 (assume @p12 (forall @t4 (=> (and @t8 @t39) (tptp.relation @t12)))) % 33.71/33.92 (assume @p13 (forall @t7 (not (tptp.empty @t40)))) % 33.71/33.92 (assume @p14 @t37) % 33.71/33.92 (assume @p15 @t42) % 33.71/33.92 (assume @p16 (and @t37 @t36)) % 33.71/33.92 (assume @p17 (forall @t7 (=> @t45 (not @t43)))) % 33.71/33.92 (assume @p18 (forall @t7 (=> @t6 (and @t43 (tptp.relation @t22))))) % 33.71/33.92 (assume @p19 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.71/33.92 (assume @p20 (exists @t7 @t29)) % 33.71/33.92 (assume @p21 (exists @t7 (and @t6 @t8))) % 33.71/33.92 (assume @p22 (forall @t7 (=> @t44 (exists @t35 (and @t47 (not @t46)))))) % 33.71/33.92 (assume @p23 (exists @t7 @t6)) % 33.71/33.92 (assume @p24 (exists @t7 @t11)) % 33.71/33.92 (assume @p25 (exists @t7 @t45)) % 33.71/33.92 (assume @p26 (forall @t7 (exists @t35 (and @t47 @t46)))) % 33.71/33.92 (assume @p27 (exists @t7 @t44)) % 33.71/33.92 (assume @p28 (exists @t7 @t10)) % 33.71/33.92 (assume @p29 (exists @t7 @t38)) % 33.71/33.92 (assume @p30 (forall @t4 (tptp.subset @t1 @t1))) % 33.71/33.92 (assume @p31 (forall @t4 (=> @t3 @t48))) % 33.71/33.92 (assume @p32 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 33.71/33.92 (assume @p33 (forall @t4 (=> @t48 (or @t46 @t3)))) % 33.71/33.92 (assume @p34 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 33.71/33.92 (assume @p35 (forall @t18 (=> (and @t3 @t49) (tptp.element @t1 @t14)))) % 33.71/33.92 (assume @p36 (forall @t18 (not (and @t3 @t49 (tptp.empty @t14))))) % 33.71/33.92 (assume @p37 @t68) % 33.71/33.92 (assume @p38 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 33.71/33.92 (assume @p39 (forall @t4 (not (and @t3 @t46)))) % 33.71/33.92 (assume @p40 @t73) % 33.71/33.92 (assume @p41 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t46)))) % 33.71/33.92 (assume @p42 true) % 33.71/33.92 (step @p43 :rule evaluate :args ((= true false))) % 33.71/33.92 (step @p44 :rule aci_norm :args ((= (or @t81 @t78) (or @t80 @t79 @t78)))) % 33.71/33.92 (step @p45 :rule refl :args (@t78)) % 33.71/33.92 (step @p46 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 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(@t166 @t108 (@list @t154 @t152 @t167))) % 33.71/33.92 (step @p238 :rule cnf_or_neg :args (@t101 3)) % 33.71/33.92 (step @p239 :rule chain_m_resolution :premises (@p238 @p84) :args ((not @t95) @t102 @t103)) % 33.71/33.92 (step @p240 :rule cnf_equiv_pos2 :args (@t166)) % 33.71/33.92 (step @p241 :rule reordering :premises (@p240) :args ((or @t95 @t168 (not @t166)))) % 33.71/33.92 (step @p242 :rule chain_m_resolution :premises (@p241 @p239 @p237) :args (@t168 (@list true false) (@list @t95 @t166))) % 33.71/33.92 (step @p243 :rule skolemize :premises (@p242)) % 33.71/33.92 (step @p244 :rule bool-double-not-elim :args (@t169)) % 33.71/33.92 (step @p245 :rule refl :args (@t178)) % 33.71/33.92 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or @t178 (not @t175)))) % 33.71/33.92 (step @p247 :rule cnf_or_neg :args (@t178 1)) % 33.71/33.92 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 33.71/33.92 (step @p249 :rule reordering :premises (@p248) :args ((or @t169 @t178))) % 33.71/33.92 (step @p250 :rule chain_m_resolution :premises (@p249 @p243) :args (@t169 @t102 @t179)) % 33.71/33.92 (step @p251 :rule cnf_equiv_pos1 :args (@t182)) % 33.71/33.92 (step @p252 :rule reordering :premises (@p251) :args ((or @t175 @t181 (not @t182)))) % 33.71/33.92 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p233) :args (@t181 @t109 (@list @t169 @t182))) % 33.71/33.92 (step @p254 :rule cnf_and_pos :args (@t181 0)) % 33.71/33.92 (step @p255 :rule reordering :premises (@p254) :args ((or @t180 (not @t181)))) % 33.71/33.92 (step @p256 :rule chain_m_resolution :premises (@p255 @p253) :args (@t180 @t122 (@list @t181))) % 33.71/33.92 (step @p257 :rule instantiate :premises (@p232) :args (@t183)) % 33.71/33.92 (step @p258 :rule bool-double-not-elim :args (@t176)) % 33.71/33.92 (step @p259 :rule nary_cong :premises (@p245 @p258) :args ((or @t178 (not @t177)))) % 33.71/33.92 (step @p260 :rule cnf_or_neg :args (@t178 0)) % 33.71/33.92 (step @p261 :rule eq_resolve :premises (@p260 @p259)) % 33.71/33.92 (step @p262 :rule reordering :premises (@p261) :args ((or @t176 @t178))) % 33.71/33.92 (step @p263 :rule chain_m_resolution :premises (@p262 @p243) :args (@t176 @t102 @t179)) % 33.71/33.92 (step @p264 :rule cnf_equiv_pos1 :args (@t186)) % 33.71/33.92 (step @p265 :rule reordering :premises (@p264) :args ((or @t177 @t185 (not @t186)))) % 33.71/33.92 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p257) :args (@t185 @t109 (@list @t176 @t186))) % 33.71/33.92 (step @p267 :rule cnf_and_pos :args (@t185 0)) % 33.71/33.92 (step @p268 :rule reordering :premises (@p267) :args ((or @t184 (not @t185)))) % 33.71/33.92 (step @p269 :rule chain_m_resolution :premises (@p268 @p266) :args (@t184 @t122 (@list @t185))) % 33.71/33.92 (step @p270 :rule cnf_or_neg :args (@t178 3)) % 33.71/33.92 (step @p271 :rule chain_m_resolution :premises (@p270 @p243) :args ((not @t170) @t102 @t179)) % 33.71/33.92 (step @p272 :rule cnf_or_pos :args (@t192)) % 33.71/33.92 (step @p273 :rule reordering :premises (@p272) :args ((or @t170 @t191 @t190 @t189 (not @t192)))) % 33.71/33.92 (step @p274 :rule chain_m_resolution :premises (@p273 @p271 @p269 @p256 @p110) :args (@t189 (@list true false false false) (@list @t170 @t184 @t180 @t192))) % 33.71/33.92 (step @p275 :rule false_intro :premises (@p274)) % 33.71/33.92 (step @p276 :rule cnf_and_pos :args (@t147 1)) % 33.71/33.92 (step @p277 :rule reordering :premises (@p276) :args ((or @t146 @t163))) % 33.71/33.92 (step @p278 :rule chain_m_resolution :premises (@p277 @p226) :args (@t146 @t122 @t164)) % 33.71/33.92 (step @p279 :rule eq-symm :args (@t187 @t171)) % 33.71/33.92 (step @p280 :rule refl :args (@t175)) % 33.71/33.92 (step @p281 :rule nary_cong :premises (@p280 @p279) :args (@t193)) % 33.71/33.92 (step @p282 :rule refl :args (@t146)) % 33.71/33.92 (step @p283 :rule cong :premises (@p282 @p281) :args ((=> @t146 @t193))) % 33.71/33.92 (assume-push @p324 @t146) % 33.71/33.92 (step @p285 :rule instantiate :premises (@p278) :args (@t165)) % 33.71/33.92 (step-pop @p325 :rule scope :premises (@p285)) % 33.71/33.92 (step @p286 :rule process_scope :premises (@p325) :args (@t193)) % 33.71/33.92 (step @p288 :rule eq_resolve :premises (@p286 @p283)) % 33.71/33.92 (step @p289 :rule implies_elim :premises (@p288)) % 33.71/33.92 (step @p290 :rule chain_m_resolution :premises (@p289 @p278) :args (@t195 @t122 @t196)) % 33.71/33.92 (step @p291 :rule cnf_or_pos :args (@t195)) % 33.71/33.92 (step @p292 :rule reordering :premises (@p291) :args ((or @t175 @t194 (not @t195)))) % 33.71/33.92 (step @p293 :rule chain_m_resolution :premises (@p292 @p250 @p290) :args (@t194 @t109 (@list @t169 @t195))) % 33.71/33.92 (step @p294 :rule bool-double-not-elim :args (@t173)) % 33.71/33.92 (step @p295 :rule nary_cong :premises (@p245 @p294) :args ((or @t178 (not @t174)))) % 33.71/33.92 (step @p296 :rule cnf_or_neg :args (@t178 2)) % 33.71/33.92 (step @p297 :rule eq_resolve :premises (@p296 @p295)) % 33.71/33.92 (step @p298 :rule reordering :premises (@p297) :args ((or @t173 @t178))) % 33.71/33.92 (step @p299 :rule chain_m_resolution :premises (@p298 @p243) :args (@t173 @t102 @t179)) % 33.71/33.92 (step @p300 :rule eq-symm :args (@t188 @t172)) % 33.71/33.92 (step @p301 :rule refl :args (@t177)) % 33.71/33.92 (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t197)) % 33.71/33.92 (step @p303 :rule cong :premises (@p282 @p302) :args ((=> @t146 @t197))) % 33.71/33.92 (assume-push @p326 @t146) % 33.71/33.92 (step @p305 :rule instantiate :premises (@p278) :args (@t183)) % 33.71/33.92 (step-pop @p327 :rule scope :premises (@p305)) % 33.71/33.92 (step @p306 :rule process_scope :premises (@p327) :args (@t197)) % 33.71/33.92 (step @p308 :rule eq_resolve :premises (@p306 @p303)) % 33.71/33.92 (step @p309 :rule implies_elim :premises (@p308)) % 33.71/33.92 (step @p310 :rule chain_m_resolution :premises (@p309 @p278) :args (@t199 @t122 @t196)) % 33.71/33.92 (step @p311 :rule cnf_or_pos :args (@t199)) % 33.71/33.92 (step @p312 :rule reordering :premises (@p311) :args ((or @t177 @t198 (not @t199)))) % 33.71/33.92 (step @p313 :rule chain_m_resolution :premises (@p312 @p263 @p310) :args (@t198 @t109 (@list @t176 @t199))) % 33.71/33.92 (step @p314 :rule symm :premises (@p313)) % 33.71/33.92 (step @p315 :rule trans :premises (@p314 @p299 @p293)) % 33.71/33.92 (step @p316 :rule true_intro :premises (@p315)) % 33.71/33.92 (step @p317 :rule symm :premises (@p316)) % 33.71/33.92 (step @p318 :rule trans :premises (@p317 @p275)) % 33.71/33.92 (step @p319 false :rule eq_resolve :premises (@p318 @p43)) % 33.71/33.92 ) % 33.71/33.92 % SZS output end Proof % 33.71/33.92 % cvc5 exiting %------------------------------------------------------------------------------