%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU314+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 : 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 08:51:21 AM UTC 2026 % Result : Theorem 0.36s 0.62s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU314+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n003.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 16:55:44 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort $$unsorted 0) % 0.36/0.62 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.36/0.62 (define @t1 () (@var "D" $$unsorted)) % 0.36/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.62 (define @t3 () (tptp.subset @t2 @t1)) % 0.36/0.62 (define @t4 () (@var "A" $$unsorted)) % 0.36/0.62 (define @t5 () (@var "E" $$unsorted)) % 0.36/0.62 (define @t6 () (tptp.closed_subset @t5 @t4)) % 0.36/0.62 (define @t7 () (= @t5 @t1)) % 0.36/0.62 (define @t8 () (tptp.powerset (tptp.the_carrier @t4))) % 0.36/0.62 (define @t9 () (tptp.element @t5 @t8)) % 0.36/0.62 (define @t10 () (and @t9 @t7 @t6 @t3)) % 0.36/0.62 (define @t11 () (@list @t5)) % 0.36/0.62 (define @t12 () (exists @t11 @t10)) % 0.36/0.62 (define @t13 () (tptp.in @t1 @t8)) % 0.36/0.62 (define @t14 () (and @t13 @t12)) % 0.36/0.62 (define @t15 () (@var "C" $$unsorted)) % 0.36/0.62 (define @t16 () (tptp.in @t1 @t15)) % 0.36/0.62 (define @t17 () (= @t16 @t14)) % 0.36/0.62 (define @t18 () (@list @t1)) % 0.36/0.62 (define @t19 () (forall @t18 @t17)) % 0.36/0.62 (define @t20 () (@list @t15)) % 0.36/0.62 (define @t21 () (exists @t20 @t19)) % 0.36/0.62 (define @t22 () (tptp.element @t2 @t8)) % 0.36/0.62 (define @t23 () (tptp.top_str @t4)) % 0.36/0.62 (define @t24 () (tptp.topological_space @t4)) % 0.36/0.62 (define @t25 () (and @t24 @t23 @t22)) % 0.36/0.62 (define @t26 () (=> @t25 @t21)) % 0.36/0.62 (define @t27 () (@list @t4 @t2)) % 0.36/0.62 (define @t28 () (forall @t27 @t26)) % 0.36/0.62 (define @t29 () (not @t28)) % 0.36/0.62 (define @t30 () (tptp.v4_membered @t4)) % 0.36/0.62 (define @t31 () (tptp.v5_membered @t4)) % 0.36/0.62 (define @t32 () (@list @t4)) % 0.36/0.62 (define @t33 () (tptp.v3_membered @t4)) % 0.36/0.62 (define @t34 () (tptp.v2_membered @t4)) % 0.36/0.62 (define @t35 () (tptp.v1_membered @t4)) % 0.36/0.62 (define @t36 () (tptp.empty @t4)) % 0.36/0.62 (define @t37 () (not @t36)) % 0.36/0.62 (define @t38 () (tptp.v1_xcmplx_0 @t2)) % 0.36/0.62 (define @t39 () (tptp.element @t2 @t4)) % 0.36/0.62 (define @t40 () (@list @t2)) % 0.36/0.62 (define @t41 () (tptp.v1_xreal_0 @t2)) % 0.36/0.62 (define @t42 () (tptp.v1_rat_1 @t2)) % 0.36/0.62 (define @t43 () (tptp.v1_int_1 @t2)) % 0.36/0.62 (define @t44 () (tptp.v1_membered @t2)) % 0.36/0.62 (define @t45 () (tptp.powerset @t4)) % 0.36/0.62 (define @t46 () (tptp.element @t2 @t45)) % 0.36/0.62 (define @t47 () (tptp.v2_membered @t2)) % 0.36/0.62 (define @t48 () (tptp.v3_membered @t2)) % 0.36/0.62 (define @t49 () (tptp.v4_membered @t2)) % 0.36/0.62 (define @t50 () (tptp.empty @t2)) % 0.36/0.62 (define @t51 () (@var "H" $$unsorted)) % 0.36/0.62 (define @t52 () (tptp.closed_subset @t51 @t4)) % 0.36/0.62 (define @t53 () (= @t51 @t1)) % 0.36/0.62 (define @t54 () (tptp.element @t51 @t8)) % 0.36/0.62 (define @t55 () (and @t54 @t53 @t52 @t3)) % 0.36/0.62 (define @t56 () (@list @t51)) % 0.36/0.62 (define @t57 () (exists @t56 @t55)) % 0.36/0.62 (define @t58 () (tptp.in @t5 @t8)) % 0.36/0.62 (define @t59 () (and @t58 @t7 @t57)) % 0.36/0.62 (define @t60 () (exists @t11 @t59)) % 0.36/0.62 (define @t61 () (= @t16 @t60)) % 0.36/0.62 (define @t62 () (forall @t18 @t61)) % 0.36/0.62 (define @t63 () (exists @t20 @t62)) % 0.36/0.62 (define @t64 () (= @t1 @t5)) % 0.36/0.62 (define @t65 () (tptp.subset @t2 @t5)) % 0.36/0.62 (define @t66 () (@var "G" $$unsorted)) % 0.36/0.62 (define @t67 () (tptp.closed_subset @t66 @t4)) % 0.36/0.62 (define @t68 () (= @t66 @t5)) % 0.36/0.62 (define @t69 () (tptp.element @t66 @t8)) % 0.36/0.62 (define @t70 () (and @t69 @t68 @t67 @t65)) % 0.36/0.62 (define @t71 () (@list @t66)) % 0.36/0.62 (define @t72 () (exists @t71 @t70)) % 0.36/0.62 (define @t73 () (= @t15 @t5)) % 0.36/0.62 (define @t74 () (@var "F" $$unsorted)) % 0.36/0.62 (define @t75 () (tptp.closed_subset @t74 @t4)) % 0.36/0.62 (define @t76 () (= @t74 @t1)) % 0.36/0.62 (define @t77 () (tptp.element @t74 @t8)) % 0.36/0.62 (define @t78 () (and @t77 @t76 @t75 @t3)) % 0.36/0.62 (define @t79 () (@list @t74)) % 0.36/0.62 (define @t80 () (exists @t79 @t78)) % 0.36/0.62 (define @t81 () (= @t15 @t1)) % 0.36/0.62 (define @t82 () (and @t81 @t80 @t73 @t72)) % 0.36/0.62 (define @t83 () (=> @t82 @t64)) % 0.36/0.62 (define @t84 () (@list @t15 @t1 @t5)) % 0.36/0.62 (define @t85 () (forall @t84 @t83)) % 0.36/0.62 (define @t86 () (=> @t85 @t63)) % 0.36/0.62 (define @t87 () (=> @t25 @t86)) % 0.36/0.62 (define @t88 () (forall @t27 @t87)) % 0.36/0.62 (define @t89 () (tptp.closed_subset @t1 @t4)) % 0.36/0.62 (define @t90 () (tptp.element @t1 @t8)) % 0.36/0.62 (define @t91 () (and @t13 @t3 @t90 @t89)) % 0.36/0.62 (define @t92 () (forall @t18 (= @t16 @t91))) % 0.36/0.62 (define @t93 () (not (forall @t20 (not @t92)))) % 0.36/0.62 (define @t94 () (not @t22)) % 0.36/0.62 (define @t95 () (not @t23)) % 0.36/0.62 (define @t96 () (not @t24)) % 0.36/0.62 (define @t97 () (or @t96 @t95 @t94 @t93)) % 0.36/0.62 (define @t98 () (or @t96 @t95 @t94)) % 0.36/0.62 (define @t99 () (not @t25)) % 0.36/0.62 (define @t100 () (not @t89)) % 0.36/0.62 (define @t101 () (not @t100)) % 0.36/0.62 (define @t102 () (not @t90)) % 0.36/0.62 (define @t103 () (not @t102)) % 0.36/0.62 (define @t104 () (not @t3)) % 0.36/0.62 (define @t105 () (not @t104)) % 0.36/0.62 (define @t106 () (and @t105 @t103 @t101)) % 0.36/0.62 (define @t107 () (or @t102 @t100)) % 0.36/0.62 (define @t108 () (or @t104 @t102 @t100)) % 0.36/0.62 (define @t109 () (not @t108)) % 0.36/0.62 (define @t110 () (and @t13 @t109)) % 0.36/0.62 (define @t111 () (= @t16 @t110)) % 0.36/0.62 (define @t112 () (not (= @t1 @t1))) % 0.36/0.62 (define @t113 () (or @t102 @t112 @t100)) % 0.36/0.62 (define @t114 () (not @t6)) % 0.36/0.62 (define @t115 () (not @t64)) % 0.36/0.62 (define @t116 () (not @t9)) % 0.36/0.62 (define @t117 () (not @t7)) % 0.36/0.62 (define @t118 () (or @t115 @t116 @t115 @t114)) % 0.36/0.62 (define @t119 () (or @t116 @t115 @t114)) % 0.36/0.62 (define @t120 () (forall @t11 @t119)) % 0.36/0.62 (define @t121 () (or @t104 @t120)) % 0.36/0.62 (define @t122 () (or @t104 @t119)) % 0.36/0.62 (define @t123 () (or @t116 @t115 @t114 @t104)) % 0.36/0.62 (define @t124 () (and @t9 @t64 @t6 @t3)) % 0.36/0.62 (define @t125 () (forall @t11 (not @t124))) % 0.36/0.62 (define @t126 () (not @t125)) % 0.36/0.62 (define @t127 () (and @t3 @t90 @t89 @t13)) % 0.36/0.62 (define @t128 () (= @t16 @t127)) % 0.36/0.62 (define @t129 () (forall @t18 @t128)) % 0.36/0.62 (define @t130 () (not @t129)) % 0.36/0.62 (define @t131 () (forall @t20 @t130)) % 0.36/0.62 (define @t132 () (not @t131)) % 0.36/0.62 (define @t133 () (or @t96 @t95 @t94 @t132)) % 0.36/0.62 (define @t134 () (forall @t27 @t133)) % 0.36/0.62 (define @t135 () (forall @t27 @t97)) % 0.36/0.62 (define @t136 () (@list true)) % 0.36/0.62 (define @t137 () (not @t13)) % 0.36/0.62 (define @t138 () (not @t137)) % 0.36/0.62 (define @t139 () (and @t105 @t103 @t101 @t138)) % 0.36/0.62 (define @t140 () (= @t16 (not (or @t104 @t102 @t100 @t137)))) % 0.36/0.62 (define @t141 () (or @t137 @t112)) % 0.36/0.62 (define @t142 () (not @t58)) % 0.36/0.62 (define @t143 () (or @t115 @t142 @t115)) % 0.36/0.62 (define @t144 () (or @t142 @t115)) % 0.36/0.62 (define @t145 () (forall @t11 @t144)) % 0.36/0.62 (define @t146 () (or @t104 @t102 @t100 @t145)) % 0.36/0.62 (define @t147 () (or @t104 @t102 @t100 @t144)) % 0.36/0.62 (define @t148 () (or @t142 @t115 @t104 @t102 @t100)) % 0.36/0.62 (define @t149 () (not @t109)) % 0.36/0.62 (define @t150 () (or @t142 @t115 @t149)) % 0.36/0.62 (define @t151 () (and @t58 @t64 @t109)) % 0.36/0.62 (define @t152 () (forall @t11 (not @t151))) % 0.36/0.62 (define @t153 () (not @t152)) % 0.36/0.62 (define @t154 () (not @t52)) % 0.36/0.62 (define @t155 () (= @t1 @t51)) % 0.36/0.62 (define @t156 () (not @t155)) % 0.36/0.62 (define @t157 () (not @t54)) % 0.36/0.62 (define @t158 () (or @t156 @t157 @t156 @t154)) % 0.36/0.62 (define @t159 () (or @t157 @t156 @t154)) % 0.36/0.62 (define @t160 () (forall @t56 @t159)) % 0.36/0.62 (define @t161 () (or @t104 @t160)) % 0.36/0.62 (define @t162 () (or @t104 @t159)) % 0.36/0.62 (define @t163 () (or @t157 @t156 @t154 @t104)) % 0.36/0.62 (define @t164 () (and @t54 @t155 @t52 @t3)) % 0.36/0.62 (define @t165 () (forall @t56 (not @t164))) % 0.36/0.62 (define @t166 () (not @t165)) % 0.36/0.62 (define @t167 () (@list @t1 @t5)) % 0.36/0.62 (define @t168 () (not @t65)) % 0.36/0.62 (define @t169 () (or @t104 @t102 @t100 @t115 @t168 @t116 @t114 @t64)) % 0.36/0.62 (define @t170 () (or @t112 @t104 @t102 @t100 @t115 @t168 @t116 @t114 @t64)) % 0.36/0.62 (define @t171 () (not @t73)) % 0.36/0.62 (define @t172 () (not @t81)) % 0.36/0.62 (define @t173 () (or @t172 @t172 @t104 @t102 @t100 @t171 @t168 @t116 @t114 @t64)) % 0.36/0.62 (define @t174 () (or @t172 @t104 @t102 @t100 @t171 @t168 @t116 @t114 @t64)) % 0.36/0.62 (define @t175 () (forall @t20 @t174)) % 0.36/0.62 (define @t176 () (forall @t167 @t175)) % 0.36/0.62 (define @t177 () (forall (@list @t1 @t5 @t15) @t174)) % 0.36/0.62 (define @t178 () (or @t172 @t104 @t102 @t100 @t171 @t168 @t116 @t114)) % 0.36/0.62 (define @t179 () (or @t168 @t116 @t114)) % 0.36/0.62 (define @t180 () (not @t179)) % 0.36/0.62 (define @t181 () (not @t180)) % 0.36/0.62 (define @t182 () (or @t172 @t149 @t171 @t181)) % 0.36/0.62 (define @t183 () (and @t81 @t109 @t73 @t180)) % 0.36/0.62 (define @t184 () (or @t116 @t114)) % 0.36/0.62 (define @t185 () (not (= @t5 @t5))) % 0.36/0.62 (define @t186 () (or @t116 @t185 @t114)) % 0.36/0.62 (define @t187 () (not @t67)) % 0.36/0.62 (define @t188 () (= @t5 @t66)) % 0.36/0.62 (define @t189 () (not @t188)) % 0.36/0.62 (define @t190 () (not @t69)) % 0.36/0.62 (define @t191 () (or @t189 @t190 @t189 @t187)) % 0.36/0.62 (define @t192 () (or @t190 @t189 @t187)) % 0.36/0.62 (define @t193 () (forall @t71 @t192)) % 0.36/0.62 (define @t194 () (or @t168 @t193)) % 0.36/0.62 (define @t195 () (or @t168 @t192)) % 0.36/0.62 (define @t196 () (or @t190 @t189 @t187 @t168)) % 0.36/0.62 (define @t197 () (and @t69 @t188 @t67 @t65)) % 0.36/0.62 (define @t198 () (forall @t71 (not @t197))) % 0.36/0.62 (define @t199 () (not @t198)) % 0.36/0.62 (define @t200 () (not @t75)) % 0.36/0.62 (define @t201 () (= @t1 @t74)) % 0.36/0.62 (define @t202 () (not @t201)) % 0.36/0.62 (define @t203 () (not @t77)) % 0.36/0.62 (define @t204 () (or @t202 @t203 @t202 @t200)) % 0.36/0.62 (define @t205 () (or @t203 @t202 @t200)) % 0.36/0.62 (define @t206 () (forall @t79 @t205)) % 0.36/0.62 (define @t207 () (or @t104 @t206)) % 0.36/0.62 (define @t208 () (or @t104 @t205)) % 0.36/0.62 (define @t209 () (or @t203 @t202 @t200 @t104)) % 0.36/0.62 (define @t210 () (and @t77 @t201 @t75 @t3)) % 0.36/0.62 (define @t211 () (forall @t79 (not @t210))) % 0.36/0.62 (define @t212 () (not @t211)) % 0.36/0.62 (assume @p1 @t29) % 0.36/0.62 (assume @p2 (forall @t32 (=> @t31 @t30))) % 0.36/0.62 (assume @p3 (forall @t32 (=> @t30 @t33))) % 0.36/0.62 (assume @p4 (forall @t32 (=> @t33 @t34))) % 0.36/0.62 (assume @p5 (forall @t32 (=> @t34 @t35))) % 0.36/0.62 (assume @p6 (exists @t32 (and @t37 @t35 @t34 @t33 @t30 @t31))) % 0.36/0.62 (assume @p7 (forall @t32 (=> @t35 (forall @t40 (=> @t39 @t38))))) % 0.36/0.62 (assume @p8 (forall @t32 (=> @t34 (forall @t40 (=> @t39 (and @t38 @t41)))))) % 0.36/0.62 (assume @p9 (forall @t32 (=> @t33 (forall @t40 (=> @t39 (and @t38 @t41 @t42)))))) % 0.36/0.62 (assume @p10 (forall @t32 (=> @t30 (forall @t40 (=> @t39 (and @t38 @t41 @t43 @t42)))))) % 0.36/0.62 (assume @p11 (forall @t32 (=> @t31 (forall @t40 (=> @t39 (and @t38 (tptp.natural @t2) @t41 @t43 @t42)))))) % 0.36/0.62 (assume @p12 (forall @t32 (=> @t35 (forall @t40 (=> @t46 @t44))))) % 0.36/0.62 (assume @p13 (forall @t32 (=> @t34 (forall @t40 (=> @t46 (and @t44 @t47)))))) % 0.36/0.62 (assume @p14 (forall @t32 (=> @t33 (forall @t40 (=> @t46 (and @t44 @t47 @t48)))))) % 0.36/0.62 (assume @p15 (forall @t32 (=> @t30 (forall @t40 (=> @t46 (and @t44 @t47 @t48 @t49)))))) % 0.36/0.62 (assume @p16 (forall @t32 (=> @t31 (forall @t40 (=> @t46 (and @t44 @t47 @t48 @t49 (tptp.v5_membered @t2))))))) % 0.36/0.62 (assume @p17 true) % 0.36/0.62 (assume @p18 (forall @t32 (=> @t37 (exists @t40 (and @t46 (not @t50)))))) % 0.36/0.62 (assume @p19 (forall @t32 (exists @t40 (and @t46 @t50)))) % 0.36/0.62 (assume @p20 (forall @t32 (=> @t36 (and @t35 @t34 @t33 @t30 @t31)))) % 0.36/0.62 (assume @p21 (forall @t27 (tptp.subset @t4 @t4))) % 0.36/0.62 (assume @p22 (forall @t27 (=> (tptp.in @t4 @t2) (not (tptp.in @t2 @t4))))) % 0.36/0.62 (assume @p23 (forall @t32 (=> @t23 (tptp.one_sorted_str @t4)))) % 0.36/0.62 (assume @p24 (forall @t32 (=> (and @t24 @t23) (exists @t40 (and @t22 (tptp.closed_subset @t2 @t4)))))) % 0.36/0.62 (assume @p25 (forall @t32 (not (tptp.empty @t45)))) % 0.36/0.62 (assume @p26 @t88) % 0.36/0.62 (step @p27 :rule aci_norm :args ((= (or @t98 @t93) @t97))) % 0.36/0.62 (step @p28 :rule refl :args (@t93)) % 0.36/0.62 (step @p29 :rule aci_norm :args ((= (or @t96 (or @t95 @t94)) @t98))) % 0.36/0.62 (step @p30 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.36/0.62 (step @p31 :rule refl :args (@t96)) % 0.36/0.62 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t96 (not (and @t23 @t22))))) % 0.36/0.62 (step @p33 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22))) % 0.36/0.62 (step @p34 :rule trans :premises (@p33 @p32)) % 0.36/0.62 (step @p35 :rule trans :premises (@p34 @p29)) % 0.36/0.62 (step @p36 :rule nary_cong :premises (@p35 @p28) :args ((or @t99 @t93))) % 0.36/0.62 (step @p37 :rule trans :premises (@p36 @p27)) % 0.36/0.62 (step @p38 :rule bool-impl-elim :args (@t25 @t93)) % 0.36/0.62 (step @p39 :rule trans :premises (@p38 @p37)) % 0.36/0.62 (step @p40 :rule cong :premises (@p39) :args ((forall @t27 (=> @t25 @t93)))) % 0.36/0.62 (step @p41 :rule exists-elim :args ((= (exists @t20 @t92) @t93))) % 0.36/0.62 (step @p42 :rule aci_norm :args ((= (and @t13 (and @t3 @t90 @t89)) @t91))) % 0.36/0.62 (step @p43 :rule bool-double-not-elim :args (@t89)) % 0.36/0.62 (step @p44 :rule bool-double-not-elim :args (@t90)) % 0.36/0.62 (step @p45 :rule 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0.36/0.62 (step @p262 :rule quant-var-elim-eq :args ((= (forall @t20 @t173) @t170))) % 0.36/0.62 (step @p263 :rule aci_norm :args ((= @t174 @t173))) % 0.36/0.62 (step @p264 :rule cong :premises (@p263) :args (@t175)) % 0.36/0.62 (step @p265 :rule trans :premises (@p264 @p262)) % 0.36/0.62 (step @p266 :rule cong :premises (@p265) :args (@t176)) % 0.36/0.62 (step @p267 :rule quant-merge-prenex :args ((= @t176 @t177))) % 0.36/0.62 (step @p268 :rule symm :premises (@p267)) % 0.36/0.62 (step @p269 :rule quant_var_reordering :args ((= (forall @t84 @t174) @t177))) % 0.36/0.62 (step @p270 :rule trans :premises (@p269 @p268 @p266)) % 0.36/0.62 (step @p271 :rule trans :premises (@p270 @p261)) % 0.36/0.62 (step @p272 :rule aci_norm :args ((= (or @t178 @t64) @t174))) % 0.36/0.62 (step @p273 :rule refl :args (@t64)) % 0.36/0.62 (step @p274 :rule aci_norm :args ((= (or @t172 @t108 @t171 @t179) @t178))) % 0.36/0.62 (step @p275 :rule bool-double-not-elim :args (@t179)) % 0.36/0.62 (step @p276 :rule refl :args (@t171)) % 0.36/0.62 (step @p277 :rule refl :args (@t172)) % 0.36/0.62 (step @p278 :rule nary_cong :premises (@p277 @p185 @p276 @p275) :args (@t182)) % 0.36/0.62 (step @p279 :rule aci_norm :args ((= (or @t172 (or @t149 (or @t171 @t181))) @t182))) % 0.36/0.62 (step @p280 :rule trans :premises (@p279 @p278)) % 0.36/0.62 (step @p281 :rule bool-and-de-morgan :args (@t73 @t180 true)) % 0.36/0.62 (step @p282 :rule refl :args (@t149)) % 0.36/0.62 (step @p283 :rule nary_cong :premises (@p282 @p281) :args ((or @t149 (not (and @t73 @t180))))) % 0.36/0.62 (step @p284 :rule bool-and-de-morgan :args (@t109 @t73 (and @t180))) % 0.36/0.62 (step @p285 :rule trans :premises (@p284 @p283)) % 0.36/0.62 (step @p286 :rule nary_cong :premises (@p277 @p285) :args ((or @t172 (not (and @t109 @t73 @t180))))) % 0.36/0.62 (step @p287 :rule bool-and-de-morgan :args (@t81 @t109 (and @t73 @t180))) % 0.36/0.62 (step @p288 :rule trans :premises (@p287 @p286)) % 0.36/0.62 (step @p289 :rule trans :premises (@p288 @p280)) % 0.36/0.62 (step @p290 :rule trans :premises (@p289 @p274)) % 0.36/0.62 (step @p291 :rule nary_cong :premises (@p290 @p273) :args ((or (not @t183) @t64))) % 0.36/0.62 (step @p292 :rule trans :premises (@p291 @p272)) % 0.36/0.62 (step @p293 :rule bool-impl-elim :args (@t183 @t64)) % 0.36/0.62 (step @p294 :rule trans :premises (@p293 @p292)) % 0.36/0.62 (step @p295 :rule cong :premises (@p294) :args ((forall @t84 (=> @t183 @t64)))) % 0.36/0.62 (step @p296 :rule trans :premises (@p295 @p271)) % 0.36/0.62 (step @p297 :rule aci_norm :args ((= (or @t168 @t184) @t179))) % 0.36/0.62 (step @p298 :rule aci_norm :args ((= (or @t116 false @t114) @t184))) % 0.36/0.62 (step @p299 :rule eq-refl :args (@t5)) % 0.36/0.62 (step @p300 :rule cong :premises (@p299) :args (@t185)) % 0.36/0.62 (step @p301 :rule trans :premises (@p300 @p64)) % 0.36/0.62 (step @p302 :rule nary_cong :premises (@p255 @p301 @p254) :args (@t186)) % 0.36/0.62 (step @p303 :rule trans :premises (@p302 @p298)) % 0.36/0.62 (step @p304 :rule quant-var-elim-eq :args ((= (forall @t71 (or (not @t68) @t190 @t189 @t187)) @t186))) % 0.36/0.62 (step @p305 :rule refl :args (@t187)) % 0.36/0.62 (step @p306 :rule refl :args (@t189)) % 0.36/0.62 (step @p307 :rule refl :args (@t190)) % 0.36/0.62 (step @p308 :rule eq-symm :args (@t5 @t66)) % 0.36/0.62 (step @p309 :rule cong :premises (@p308) :args (@t189)) % 0.36/0.62 (step @p310 :rule nary_cong :premises (@p309 @p307 @p306 @p305) :args (@t191)) % 0.36/0.62 (step @p311 :rule aci_norm :args ((= @t192 @t191))) % 0.36/0.62 (step @p312 :rule trans :premises (@p311 @p310)) % 0.36/0.62 (step @p313 :rule cong :premises (@p312) :args (@t193)) % 0.36/0.62 (step @p314 :rule trans :premises (@p313 @p304)) % 0.36/0.62 (step @p315 :rule trans :premises (@p314 @p303)) % 0.36/0.62 (step @p316 :rule nary_cong :premises (@p256 @p315) :args (@t194)) % 0.36/0.62 (step @p317 :rule trans :premises (@p316 @p297)) % 0.36/0.62 (step @p318 :rule quant-miniscope-or :args ((= (forall @t71 @t195) @t194))) % 0.36/0.62 (step @p319 :rule aci_norm :args ((= @t196 @t195))) % 0.36/0.62 (step @p320 :rule cong :premises (@p319) :args ((forall @t71 @t196))) % 0.36/0.62 (step @p321 :rule trans :premises (@p320 @p318)) % 0.36/0.62 (step @p322 :rule trans :premises (@p321 @p317)) % 0.36/0.62 (step @p323 :rule aci_norm :args ((= (or @t190 (or @t189 (or @t187 @t168))) @t196))) % 0.36/0.62 (step @p324 :rule bool-and-de-morgan :args (@t67 @t65 true)) % 0.36/0.62 (step @p325 :rule nary_cong :premises (@p306 @p324) :args ((or @t189 (not (and @t67 @t65))))) % 0.36/0.62 (step @p326 :rule bool-and-de-morgan :args (@t188 @t67 (and @t65))) % 0.36/0.62 (step @p327 :rule trans :premises (@p326 @p325)) % 0.36/0.62 (step @p328 :rule nary_cong :premises (@p307 @p327) :args ((or @t190 (not (and @t188 @t67 @t65))))) % 0.36/0.62 (step @p329 :rule bool-and-de-morgan :args (@t69 @t188 (and @t67 @t65))) % 0.36/0.62 (step @p330 :rule trans :premises (@p329 @p328)) % 0.36/0.62 (step @p331 :rule trans :premises (@p330 @p323)) % 0.36/0.62 (step @p332 :rule cong :premises (@p331) :args (@t198)) % 0.36/0.62 (step @p333 :rule trans :premises (@p332 @p322)) % 0.36/0.62 (step @p334 :rule cong :premises (@p333) :args (@t199)) % 0.36/0.62 (step @p335 :rule exists-elim :args ((= (exists @t71 @t197) @t199))) % 0.36/0.62 (step @p336 :rule trans :premises (@p335 @p334)) % 0.36/0.62 (step @p337 :rule refl :args (@t65)) % 0.36/0.62 (step @p338 :rule refl :args (@t67)) % 0.36/0.62 (step @p339 :rule eq-symm :args (@t66 @t5)) % 0.36/0.62 (step @p340 :rule refl :args (@t69)) % 0.36/0.62 (step @p341 :rule nary_cong :premises (@p340 @p339 @p338 @p337) :args (@t70)) % 0.36/0.62 (step @p342 :rule cong :premises (@p341) :args (@t72)) % 0.36/0.62 (step @p343 :rule trans :premises (@p342 @p336)) % 0.36/0.62 (step @p344 :rule refl :args (@t73)) % 0.36/0.62 (step @p345 :rule quant-var-elim-eq :args ((= (forall @t79 (or (not @t76) @t203 @t202 @t200)) @t113))) % 0.36/0.62 (step @p346 :rule refl :args (@t200)) % 0.36/0.62 (step @p347 :rule refl :args (@t202)) % 0.36/0.62 (step @p348 :rule refl :args (@t203)) % 0.36/0.62 (step @p349 :rule eq-symm :args (@t1 @t74)) % 0.36/0.62 (step @p350 :rule cong :premises (@p349) :args (@t202)) % 0.36/0.62 (step @p351 :rule nary_cong :premises (@p350 @p348 @p347 @p346) :args (@t204)) % 0.36/0.62 (step @p352 :rule aci_norm :args ((= @t205 @t204))) % 0.36/0.62 (step @p353 :rule trans :premises (@p352 @p351)) % 0.36/0.62 (step @p354 :rule cong :premises (@p353) :args (@t206)) % 0.36/0.62 (step @p355 :rule trans :premises (@p354 @p345)) % 0.36/0.62 (step @p356 :rule trans :premises (@p355 @p70)) % 0.36/0.62 (step @p357 :rule nary_cong :premises (@p83 @p356) :args (@t207)) % 0.36/0.62 (step @p358 :rule trans :premises (@p357 @p61)) % 0.36/0.62 (step @p359 :rule quant-miniscope-or :args ((= (forall @t79 @t208) @t207))) % 0.36/0.62 (step @p360 :rule aci_norm :args ((= @t209 @t208))) % 0.36/0.62 (step @p361 :rule cong :premises (@p360) :args ((forall @t79 @t209))) % 0.36/0.62 (step @p362 :rule trans :premises (@p361 @p359)) % 0.36/0.62 (step @p363 :rule trans :premises (@p362 @p358)) % 0.36/0.62 (step @p364 :rule aci_norm :args ((= (or @t203 (or @t202 (or @t200 @t104))) @t209))) % 0.36/0.62 (step @p365 :rule bool-and-de-morgan :args (@t75 @t3 true)) % 0.36/0.62 (step @p366 :rule nary_cong :premises (@p347 @p365) :args ((or @t202 (not (and @t75 @t3))))) % 0.36/0.62 (step @p367 :rule bool-and-de-morgan :args (@t201 @t75 (and @t3))) % 0.36/0.62 (step @p368 :rule trans :premises (@p367 @p366)) % 0.36/0.62 (step @p369 :rule nary_cong :premises (@p348 @p368) :args ((or @t203 (not (and @t201 @t75 @t3))))) % 0.36/0.62 (step @p370 :rule bool-and-de-morgan :args (@t77 @t201 (and @t75 @t3))) % 0.36/0.62 (step @p371 :rule trans :premises (@p370 @p369)) % 0.36/0.62 (step @p372 :rule trans :premises (@p371 @p364)) % 0.36/0.62 (step @p373 :rule cong :premises (@p372) :args (@t211)) % 0.36/0.62 (step @p374 :rule trans :premises (@p373 @p363)) % 0.36/0.62 (step @p375 :rule cong :premises (@p374) :args (@t212)) % 0.36/0.62 (step @p376 :rule exists-elim :args ((= (exists @t79 @t210) @t212))) % 0.36/0.62 (step @p377 :rule trans :premises (@p376 @p375)) % 0.36/0.62 (step @p378 :rule refl :args (@t75)) % 0.36/0.62 (step @p379 :rule eq-symm :args (@t74 @t1)) % 0.36/0.62 (step @p380 :rule refl :args (@t77)) % 0.36/0.62 (step @p381 :rule nary_cong :premises (@p380 @p379 @p378 @p105) :args (@t78)) % 0.36/0.62 (step @p382 :rule cong :premises (@p381) :args (@t80)) % 0.36/0.62 (step @p383 :rule trans :premises (@p382 @p377)) % 0.36/0.62 (step @p384 :rule refl :args (@t81)) % 0.36/0.62 (step @p385 :rule nary_cong :premises (@p384 @p383 @p344 @p343) :args (@t82)) % 0.36/0.62 (step @p386 :rule cong :premises (@p385 @p253) :args (@t83)) % 0.36/0.62 (step @p387 :rule cong :premises (@p386) :args (@t85)) % 0.36/0.62 (step @p388 :rule trans :premises (@p387 @p296)) % 0.36/0.62 (step @p389 :rule cong :premises (@p388 @p247) :args (@t86)) % 0.36/0.62 (step @p390 :rule trans :premises (@p389 @p149)) % 0.36/0.62 (step @p391 :rule cong :premises (@p120 @p390) :args (@t87)) % 0.36/0.62 (step @p392 :rule cong :premises (@p391) :args (@t88)) % 0.36/0.62 (step @p393 :rule trans :premises (@p392 @p148)) % 0.36/0.62 (step @p394 :rule eq_resolve :premises (@p26 @p393)) % 0.36/0.62 (step @p395 false :rule chain_m_resolution :premises (@p394 @p141) :args (false @t136 (@list @t134))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------