%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX037+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 09:07:01 AM UTC 2026 % Result : Theorem 0.61s 0.85s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX037+1 : TPTP v9.2.1. Released v9.1.0. % 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 : n014.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 22:54:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.61/0.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.85 % SZS status Theorem % 0.61/0.85 % SZS output start Proof % 0.61/0.85 ( % 0.61/0.85 (declare-sort $$unsorted 0) % 0.61/0.85 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 0.61/0.85 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.61/0.85 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.85 (declare-const tptp.gr (-> $$unsorted Bool)) % 0.61/0.85 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.85 (declare-const |tptp.'0'| $$unsorted) % 0.61/0.85 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.85 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.85 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 0.61/0.85 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.85 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.85 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.85 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.85 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.85 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.85 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.85 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 0.61/0.85 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.85 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.85 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.85 (define @t1 () (@var "Xx3" $$unsorted)) % 0.61/0.85 (define @t2 () (tptp.s @t1)) % 0.61/0.85 (define @t3 () (@var "Xx5" $$unsorted)) % 0.61/0.85 (define @t4 () (@var "Xx4" $$unsorted)) % 0.61/0.85 (define @t5 () (tptp.s @t3)) % 0.61/0.85 (define @t6 () (tptp.s @t4)) % 0.61/0.85 (define @t7 () (@list @t4 @t3)) % 0.61/0.85 (define @t8 () (@var "Xx6" $$unsorted)) % 0.61/0.85 (define @t9 () (@var "Xx9" $$unsorted)) % 0.61/0.85 (define @t10 () (@var "Xx8" $$unsorted)) % 0.61/0.85 (define @t11 () (@var "Xx7" $$unsorted)) % 0.61/0.85 (define @t12 () (tptp.times_fails @t11 @t10 @t9)) % 0.61/0.85 (define @t13 () (tptp.times_succeeds @t11 @t10 @t9)) % 0.61/0.85 (define @t14 () (@list @t11 @t10 @t9)) % 0.61/0.85 (define @t15 () (@var "Xx12" $$unsorted)) % 0.61/0.85 (define @t16 () (@var "Xx11" $$unsorted)) % 0.61/0.85 (define @t17 () (@var "Xx10" $$unsorted)) % 0.61/0.85 (define @t18 () (tptp.plus_fails @t17 @t16 @t15)) % 0.61/0.85 (define @t19 () (tptp.plus_succeeds @t17 @t16 @t15)) % 0.61/0.85 (define @t20 () (@list @t17 @t16 @t15)) % 0.61/0.85 (define @t21 () (@var "Xx14" $$unsorted)) % 0.61/0.85 (define @t22 () (@var "Xx13" $$unsorted)) % 0.61/0.85 (define @t23 () (|tptp.'@=<_fails'| @t22 @t21)) % 0.61/0.85 (define @t24 () (|tptp.'@=<_succeeds'| @t22 @t21)) % 0.61/0.85 (define @t25 () (@list @t22 @t21)) % 0.61/0.85 (define @t26 () (@var "Xx16" $$unsorted)) % 0.61/0.85 (define @t27 () (@var "Xx15" $$unsorted)) % 0.61/0.85 (define @t28 () (|tptp.'@<_fails'| @t27 @t26)) % 0.61/0.85 (define @t29 () (|tptp.'@<_succeeds'| @t27 @t26)) % 0.61/0.85 (define @t30 () (@list @t27 @t26)) % 0.61/0.85 (define @t31 () (@var "Xx17" $$unsorted)) % 0.61/0.85 (define @t32 () (tptp.nat_fails @t31)) % 0.61/0.85 (define @t33 () (tptp.nat_succeeds @t31)) % 0.61/0.85 (define @t34 () (@list @t31)) % 0.61/0.85 (define @t35 () (= @t1 |tptp.'0'|)) % 0.61/0.85 (define @t36 () (@var "Xx1" $$unsorted)) % 0.61/0.85 (define @t37 () (= @t36 |tptp.'0'|)) % 0.61/0.85 (define @t38 () (@var "Xx2" $$unsorted)) % 0.61/0.85 (define @t39 () (= @t36 @t6)) % 0.61/0.85 (define @t40 () (@list @t36 @t38 @t1)) % 0.61/0.85 (define @t41 () (not @t37)) % 0.61/0.85 (define @t42 () (tptp.times_fails @t4 @t38 @t3)) % 0.61/0.85 (define @t43 () (not @t39)) % 0.61/0.85 (define @t44 () (or @t41 true)) % 0.61/0.85 (define @t45 () (= @t1 @t38)) % 0.61/0.85 (define @t46 () (= @t1 @t5)) % 0.61/0.85 (define @t47 () (not @t46)) % 0.61/0.85 (define @t48 () (= @t38 @t6)) % 0.61/0.85 (define @t49 () (= @t36 @t2)) % 0.61/0.85 (define @t50 () (@list @t1 @t4)) % 0.61/0.85 (define @t51 () (@list @t36 @t38)) % 0.61/0.85 (define @t52 () (not @t48)) % 0.61/0.85 (define @t53 () (not @t49)) % 0.61/0.85 (define @t54 () (= @t38 @t5)) % 0.61/0.85 (define @t55 () (@list @t3)) % 0.61/0.85 (define @t56 () (tptp.nat_succeeds @t38)) % 0.61/0.85 (define @t57 () (tptp.s @t38)) % 0.61/0.85 (define @t58 () (= @t36 @t57)) % 0.61/0.85 (define @t59 () (@list @t38)) % 0.61/0.85 (define @t60 () (@list @t36)) % 0.61/0.85 (define @t61 () (not @t58)) % 0.61/0.85 (define @t62 () (@var "Xz" $$unsorted)) % 0.61/0.85 (define @t63 () (@var "Xy" $$unsorted)) % 0.61/0.85 (define @t64 () (@var "Xx" $$unsorted)) % 0.61/0.85 (define @t65 () (tptp.plus_succeeds @t64 @t63 @t62)) % 0.61/0.85 (define @t66 () (|tptp.'@+'| @t64 @t63)) % 0.61/0.85 (define @t67 () (tptp.nat_succeeds @t64)) % 0.61/0.85 (define @t68 () (@list @t64 @t63 @t62)) % 0.61/0.85 (define @t69 () (tptp.times_succeeds @t64 @t63 @t62)) % 0.61/0.85 (define @t70 () (|tptp.'@*'| @t64 @t63)) % 0.61/0.85 (define @t71 () (tptp.nat_succeeds @t63)) % 0.61/0.85 (define @t72 () (and @t67 @t71)) % 0.61/0.85 (define @t73 () (@list @t64)) % 0.61/0.85 (define @t74 () (tptp.gr @t64)) % 0.61/0.85 (define @t75 () (tptp.plus_terminates @t64 @t63 @t62)) % 0.61/0.85 (define @t76 () (tptp.nat_succeeds @t62)) % 0.61/0.85 (define @t77 () (tptp.gr @t62)) % 0.61/0.85 (define @t78 () (tptp.gr @t63)) % 0.61/0.85 (define @t79 () (@list @t62)) % 0.61/0.85 (define @t80 () (@list @t64 @t63)) % 0.61/0.85 (define @t81 () (@var "Xz2" $$unsorted)) % 0.61/0.85 (define @t82 () (@var "Xz1" $$unsorted)) % 0.61/0.85 (define @t83 () (= @t82 @t81)) % 0.61/0.85 (define @t84 () (@list @t64 @t63 @t82 @t81)) % 0.61/0.85 (define @t85 () (@list @t63)) % 0.61/0.85 (define @t86 () (tptp.s @t64)) % 0.61/0.85 (define @t87 () (|tptp.'@+'| @t86 @t63)) % 0.61/0.85 (define @t88 () (and @t67 @t71 @t76)) % 0.61/0.85 (define @t89 () (|tptp.'@*'| |tptp.'0'| @t63)) % 0.61/0.85 (define @t90 () (=> @t71 (= @t89 |tptp.'0'|))) % 0.61/0.85 (define @t91 () (forall @t85 @t90)) % 0.61/0.85 (define @t92 () (= (|tptp.'@*'| @t86 @t63) (|tptp.'@+'| @t63 @t70))) % 0.61/0.85 (define @t93 () (forall @t80 (=> @t72 @t92))) % 0.61/0.85 (define @t94 () (tptp.nat_succeeds @t70)) % 0.61/0.85 (define @t95 () (forall @t80 (=> @t72 @t94))) % 0.61/0.85 (define @t96 () (|tptp.'@*'| @t63 @t62)) % 0.61/0.85 (define @t97 () (= (|tptp.'@*'| @t66 @t62) (|tptp.'@+'| (|tptp.'@*'| @t64 @t62) @t96))) % 0.61/0.85 (define @t98 () (forall @t68 (=> @t88 @t97))) % 0.61/0.85 (define @t99 () (= (|tptp.'@*'| @t70 @t62) (|tptp.'@*'| @t64 @t96))) % 0.61/0.85 (define @t100 () (and @t76 @t71)) % 0.61/0.85 (define @t101 () (@list @t63 @t62)) % 0.61/0.85 (define @t102 () (forall @t101 (=> @t100 @t99))) % 0.61/0.85 (define @t103 () (=> @t67 @t102)) % 0.61/0.85 (define @t104 () (forall @t73 @t103)) % 0.61/0.85 (define @t105 () (= (|tptp.'@*'| (|tptp.'@*'| @t38 @t63) @t62) (|tptp.'@*'| @t38 @t96))) % 0.61/0.85 (define @t106 () (forall @t101 (=> @t100 @t105))) % 0.61/0.85 (define @t107 () (and (= @t64 @t57) @t56 @t106)) % 0.61/0.85 (define @t108 () (exists @t59 @t107)) % 0.61/0.85 (define @t109 () (or @t108 (= @t64 |tptp.'0'|))) % 0.61/0.85 (define @t110 () (=> @t109 @t102)) % 0.61/0.85 (define @t111 () (forall @t73 @t110)) % 0.61/0.85 (define @t112 () (=> @t111 @t104)) % 0.61/0.85 (define @t113 () (forall @t68 (=> @t88 @t99))) % 0.61/0.85 (define @t114 () (not @t113)) % 0.61/0.85 (define @t115 () (not @t76)) % 0.61/0.85 (define @t116 () (not @t71)) % 0.61/0.85 (define @t117 () (not @t67)) % 0.61/0.85 (define @t118 () (or @t117 @t116 @t115 @t99)) % 0.61/0.85 (define @t119 () (or @t117 @t116 @t115)) % 0.61/0.85 (define @t120 () (not @t88)) % 0.61/0.85 (define @t121 () (or @t117 @t115 @t116 @t99)) % 0.61/0.85 (define @t122 () (forall @t68 @t118)) % 0.61/0.85 (define @t123 () (forall @t68 @t121)) % 0.61/0.85 (define @t124 () (@var "BOUND_VARIABLE_8912" $$unsorted)) % 0.61/0.85 (define @t125 () (@var "BOUND_VARIABLE_8911" $$unsorted)) % 0.61/0.85 (define @t126 () (@var "BOUND_VARIABLE_8910" $$unsorted)) % 0.61/0.85 (define @t127 () (@list @t126 @t125 @t124)) % 0.61/0.85 (define @t128 () (@var "BOUND_VARIABLE_8288" $$unsorted)) % 0.61/0.85 (define @t129 () (@var "BOUND_VARIABLE_8286" $$unsorted)) % 0.61/0.85 (define @t130 () (= (|tptp.'@*'| (|tptp.'@*'| @t64 @t129) @t128) (|tptp.'@*'| @t64 (|tptp.'@*'| @t129 @t128)))) % 0.61/0.85 (define @t131 () (not (tptp.nat_succeeds @t129))) % 0.61/0.85 (define @t132 () (not (tptp.nat_succeeds @t128))) % 0.61/0.85 (define @t133 () (or @t117 @t132 @t131 @t130)) % 0.61/0.85 (define @t134 () (@list @t64 @t129 @t128)) % 0.61/0.85 (define @t135 () (forall @t134 @t133)) % 0.61/0.85 (define @t136 () (not @t135)) % 0.61/0.85 (define @t137 () (@list true)) % 0.61/0.85 (define @t138 () (or @t132 @t131 @t130)) % 0.61/0.85 (define @t139 () (or @t117 @t138)) % 0.61/0.85 (define @t140 () (forall @t134 @t139)) % 0.61/0.85 (define @t141 () (@list @t129 @t128)) % 0.61/0.85 (define @t142 () (forall @t141 @t139)) % 0.61/0.85 (define @t143 () (forall @t141 @t138)) % 0.61/0.85 (define @t144 () (@list @t63 @t62)) % 0.61/0.85 (define @t145 () (or @t117 @t143)) % 0.61/0.85 (define @t146 () (or @t115 @t116 @t99)) % 0.61/0.85 (define @t147 () (forall @t101 @t146)) % 0.61/0.85 (define @t148 () (or @t115 @t116)) % 0.61/0.85 (define @t149 () (not @t100)) % 0.61/0.85 (define @t150 () (@var "BOUND_VARIABLE_8260" $$unsorted)) % 0.61/0.85 (define @t151 () (@var "BOUND_VARIABLE_8258" $$unsorted)) % 0.61/0.85 (define @t152 () (= (|tptp.'@*'| (|tptp.'@*'| @t64 @t151) @t150) (|tptp.'@*'| @t64 (|tptp.'@*'| @t151 @t150)))) % 0.61/0.85 (define @t153 () (not (tptp.nat_succeeds @t151))) % 0.61/0.85 (define @t154 () (not (tptp.nat_succeeds @t150))) % 0.61/0.85 (define @t155 () (= |tptp.'0'| @t64)) % 0.61/0.85 (define @t156 () (not @t155)) % 0.61/0.85 (define @t157 () (@var "BOUND_VARIABLE_8242" $$unsorted)) % 0.61/0.85 (define @t158 () (not (forall @t101 (or @t115 @t116 (= (|tptp.'@*'| (|tptp.'@*'| @t157 @t63) @t62) (|tptp.'@*'| @t157 @t96)))))) % 0.61/0.85 (define @t159 () (not (tptp.nat_succeeds @t157))) % 0.61/0.85 (define @t160 () (tptp.s @t157)) % 0.61/0.85 (define @t161 () (not (= @t160 @t64))) % 0.61/0.85 (define @t162 () (or @t161 @t159 @t158)) % 0.61/0.85 (define @t163 () (and @t162 @t156)) % 0.61/0.85 (define @t164 () (or @t163 @t154 @t153 @t152)) % 0.61/0.85 (define @t165 () (or @t154 @t153 @t152)) % 0.61/0.85 (define @t166 () (or @t163 @t165)) % 0.61/0.85 (define @t167 () (@list @t64 @t157 @t151 @t150)) % 0.61/0.85 (define @t168 () (forall @t167 @t166)) % 0.61/0.85 (define @t169 () (forall (@list @t157 @t151 @t150) @t166)) % 0.61/0.85 (define @t170 () (forall (@list @t151 @t150) @t165)) % 0.61/0.85 (define @t171 () (@list @t157)) % 0.61/0.85 (define @t172 () (forall @t171 @t156)) % 0.61/0.85 (define @t173 () (forall @t171 @t162)) % 0.61/0.85 (define @t174 () (and @t173 @t172)) % 0.61/0.85 (define @t175 () (forall @t171 @t163)) % 0.61/0.85 (define @t176 () (or @t175 @t170)) % 0.61/0.85 (define @t177 () (or @t115 @t116 @t105)) % 0.61/0.85 (define @t178 () (forall @t101 @t177)) % 0.61/0.85 (define @t179 () (not @t178)) % 0.61/0.85 (define @t180 () (not @t56)) % 0.61/0.85 (define @t181 () (= @t57 @t64)) % 0.61/0.85 (define @t182 () (not @t181)) % 0.61/0.85 (define @t183 () (or @t182 @t180 @t179)) % 0.61/0.85 (define @t184 () (forall @t59 @t183)) % 0.61/0.85 (define @t185 () (not @t184)) % 0.61/0.85 (define @t186 () (or @t185 @t155)) % 0.61/0.85 (define @t187 () (and @t181 @t56 @t178)) % 0.61/0.85 (define @t188 () (forall @t59 (not @t187))) % 0.61/0.85 (define @t189 () (not @t188)) % 0.61/0.85 (define @t190 () (forall @t167 (or (and (or (not (= @t64 @t160)) @t159 @t158) @t156) @t154 @t153 @t152))) % 0.61/0.85 (define @t191 () (not @t190)) % 0.61/0.85 (define @t192 () (@quantifiers_skolemize @t190 3)) % 0.61/0.85 (define @t193 () (@quantifiers_skolemize @t190 2)) % 0.61/0.85 (define @t194 () (|tptp.'@*'| @t193 @t192)) % 0.61/0.85 (define @t195 () (@quantifiers_skolemize @t190 0)) % 0.61/0.85 (define @t196 () (|tptp.'@*'| @t195 @t193)) % 0.61/0.85 (define @t197 () (|tptp.'@*'| @t196 @t192)) % 0.61/0.85 (define @t198 () (= @t197 (|tptp.'@*'| @t195 @t194))) % 0.61/0.85 (define @t199 () (tptp.nat_succeeds @t193)) % 0.61/0.85 (define @t200 () (not @t199)) % 0.61/0.85 (define @t201 () (tptp.nat_succeeds @t192)) % 0.61/0.85 (define @t202 () (not @t201)) % 0.61/0.85 (define @t203 () (= |tptp.'0'| @t195)) % 0.61/0.85 (define @t204 () (not @t203)) % 0.61/0.85 (define @t205 () (@quantifiers_skolemize @t190 1)) % 0.61/0.85 (define @t206 () (forall @t101 (or @t115 @t116 (= (|tptp.'@*'| (|tptp.'@*'| @t205 @t63) @t62) (|tptp.'@*'| @t205 @t96))))) % 0.61/0.85 (define @t207 () (not @t206)) % 0.61/0.85 (define @t208 () (tptp.nat_succeeds @t205)) % 0.61/0.85 (define @t209 () (not @t208)) % 0.61/0.85 (define @t210 () (tptp.s @t205)) % 0.61/0.85 (define @t211 () (= @t195 @t210)) % 0.61/0.85 (define @t212 () (not @t211)) % 0.61/0.85 (define @t213 () (or @t212 @t209 @t207)) % 0.61/0.85 (define @t214 () (and @t213 @t204)) % 0.61/0.85 (define @t215 () (or @t214 @t202 @t200 @t198)) % 0.61/0.85 (define @t216 () (not @t198)) % 0.61/0.85 (define @t217 () (@list @t215)) % 0.61/0.85 (define @t218 () (= |tptp.'0'| @t89)) % 0.61/0.85 (define @t219 () (or @t117 @t116)) % 0.61/0.85 (define @t220 () (not @t72)) % 0.61/0.85 (define @t221 () (@list @t193 @t192)) % 0.61/0.85 (define @t222 () (tptp.nat_succeeds @t194)) % 0.61/0.85 (define @t223 () (or @t200 @t202 @t222)) % 0.61/0.85 (define @t224 () (@list false false false)) % 0.61/0.85 (define @t225 () (|tptp.'@*'| |tptp.'0'| @t194)) % 0.61/0.85 (define @t226 () (= |tptp.'0'| @t225)) % 0.61/0.85 (define @t227 () (not @t222)) % 0.61/0.85 (define @t228 () (or @t227 @t226)) % 0.61/0.85 (define @t229 () (@list false false)) % 0.61/0.85 (define @t230 () (= |tptp.'0'| (|tptp.'@*'| |tptp.'0'| @t192))) % 0.61/0.85 (define @t231 () (or @t202 @t230)) % 0.61/0.85 (define @t232 () (= |tptp.'0'| (|tptp.'@*'| |tptp.'0'| @t193))) % 0.61/0.85 (define @t233 () (or @t200 @t232)) % 0.61/0.85 (define @t234 () (and @t203 @t232 @t230 @t226)) % 0.61/0.85 (define @t235 () (not @t213)) % 0.61/0.85 (define @t236 () (@list @t213)) % 0.61/0.85 (define @t237 () (|tptp.'@*'| @t205 @t194)) % 0.61/0.85 (define @t238 () (|tptp.'@*'| @t210 @t194)) % 0.61/0.85 (define @t239 () (= @t238 (|tptp.'@+'| @t194 @t237))) % 0.61/0.85 (define @t240 () (or @t209 @t227 @t239)) % 0.61/0.85 (define @t241 () (@list @t205 @t193)) % 0.61/0.85 (define @t242 () (|tptp.'@*'| @t205 @t193)) % 0.61/0.85 (define @t243 () (|tptp.'@+'| @t193 @t242)) % 0.61/0.85 (define @t244 () (|tptp.'@*'| @t210 @t193)) % 0.61/0.85 (define @t245 () (= @t244 @t243)) % 0.61/0.85 (define @t246 () (or @t209 @t200 @t245)) % 0.61/0.85 (define @t247 () (|tptp.'@*'| @t242 @t192)) % 0.61/0.85 (define @t248 () (or @t202 @t200 (= @t247 @t237))) % 0.61/0.85 (define @t249 () (= @t237 @t247)) % 0.61/0.85 (define @t250 () (or @t202 @t200 @t249)) % 0.61/0.85 (define @t251 () (tptp.nat_succeeds @t242)) % 0.61/0.85 (define @t252 () (or @t209 @t200 @t251)) % 0.61/0.85 (define @t253 () (|tptp.'@+'| @t194 @t247)) % 0.61/0.85 (define @t254 () (|tptp.'@*'| @t243 @t192)) % 0.61/0.85 (define @t255 () (= @t254 @t253)) % 0.61/0.85 (define @t256 () (not @t251)) % 0.61/0.85 (define @t257 () (or @t200 @t256 @t202 @t255)) % 0.61/0.85 (define @t258 () (not @t255)) % 0.61/0.85 (define @t259 () (not @t249)) % 0.61/0.85 (define @t260 () (not @t245)) % 0.61/0.85 (define @t261 () (not @t239)) % 0.61/0.85 (define @t262 () (and @t211 @t216 @t239 @t245 @t249)) % 0.61/0.85 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 0.61/0.85 (assume @p2 (forall @t7 (=> (= @t6 @t5) (= @t4 @t3)))) % 0.61/0.85 (assume @p3 (tptp.gr |tptp.'0'|)) % 0.61/0.85 (assume @p4 (forall (@list @t8) (= (tptp.gr @t8) (tptp.gr (tptp.s @t8))))) % 0.61/0.85 (assume @p5 (forall @t14 (not (and @t13 @t12)))) % 0.61/0.85 (assume @p6 (forall @t14 (=> (tptp.times_terminates @t11 @t10 @t9) (or @t13 @t12)))) % 0.61/0.85 (assume @p7 (forall @t20 (not (and @t19 @t18)))) % 0.61/0.85 (assume @p8 (forall @t20 (=> (tptp.plus_terminates @t17 @t16 @t15) (or @t19 @t18)))) % 0.61/0.85 (assume @p9 (forall @t25 (not (and @t24 @t23)))) % 0.61/0.85 (assume @p10 (forall @t25 (=> (|tptp.'@=<_terminates'| @t22 @t21) (or @t24 @t23)))) % 0.61/0.85 (assume @p11 (forall @t30 (not (and @t29 @t28)))) % 0.61/0.85 (assume @p12 (forall @t30 (=> (|tptp.'@<_terminates'| @t27 @t26) (or @t29 @t28)))) % 0.61/0.85 (assume @p13 (forall @t34 (not (and @t33 @t32)))) % 0.61/0.85 (assume @p14 (forall @t34 (=> (tptp.nat_terminates @t31) (or @t33 @t32)))) % 0.61/0.85 (assume @p15 (forall @t40 (= (tptp.times_succeeds @t36 @t38 @t1) (or (exists @t7 (and @t39 (tptp.times_succeeds @t4 @t38 @t3) (tptp.plus_succeeds @t38 @t3 @t1))) (and @t37 @t35))))) % 0.61/0.85 (assume @p16 (forall @t40 (= (tptp.times_fails @t36 @t38 @t1) (and (forall @t7 (or @t43 @t42 (tptp.plus_fails @t38 @t3 @t1))) (or @t41 (not @t35)))))) % 0.61/0.85 (assume @p17 (forall @t40 (= (tptp.times_terminates @t36 @t38 @t1) (and (forall @t7 (and true (or @t43 (and (tptp.times_terminates @t4 @t38 @t3) (or @t42 (tptp.plus_terminates @t38 @t3 @t1)))))) true @t44)))) % 0.61/0.85 (assume @p18 (forall @t40 (= (tptp.plus_succeeds @t36 @t38 @t1) (or (exists @t7 (and @t39 @t46 (tptp.plus_succeeds @t4 @t38 @t3))) (and @t37 @t45))))) % 0.61/0.85 (assume @p19 (forall @t40 (= (tptp.plus_fails @t36 @t38 @t1) (and (forall @t7 (or @t43 @t47 (tptp.plus_fails @t4 @t38 @t3))) (or @t41 (not @t45)))))) % 0.61/0.85 (assume @p20 (forall @t40 (= (tptp.plus_terminates @t36 @t38 @t1) (and (forall @t7 (and true (or @t43 (and true (or @t47 (tptp.plus_terminates @t4 @t38 @t3)))))) true @t44)))) % 0.61/0.85 (assume @p21 (forall @t51 (= (|tptp.'@=<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@=<_succeeds'| @t1 @t4))) @t37)))) % 0.61/0.85 (assume @p22 (forall @t51 (= (|tptp.'@=<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@=<_fails'| @t1 @t4))) @t41)))) % 0.61/0.85 (assume @p23 (forall @t51 (= (|tptp.'@=<_terminates'| @t36 @t38) (and (forall @t50 (and true (or @t53 (and true (or @t52 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 0.61/0.85 (assume @p24 (forall @t51 (= (|tptp.'@<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t55 (and @t37 @t54)))))) % 0.61/0.85 (assume @p25 (forall @t51 (= (|tptp.'@<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@<_fails'| @t1 @t4))) (forall @t55 (or @t41 (not @t54))))))) % 0.61/0.85 (assume @p26 (forall @t51 (= (|tptp.'@<_terminates'| @t36 @t38) (and (forall @t50 (and true (or @t53 (and true (or @t52 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t55 (and true @t44)))))) % 0.61/0.85 (assume @p27 (forall @t60 (= (tptp.nat_succeeds @t36) (or (exists @t59 (and @t58 @t56)) @t37)))) % 0.61/0.85 (assume @p28 (forall @t60 (= (tptp.nat_fails @t36) (and (forall @t59 (or @t61 (tptp.nat_fails @t38))) @t41)))) % 0.61/0.85 (assume @p29 (forall @t60 (= (tptp.nat_terminates @t36) (and (forall @t59 (and true (or @t61 (tptp.nat_terminates @t38)))) true)))) % 0.61/0.85 (assume @p30 (forall @t68 (=> @t67 (= (= @t66 @t62) @t65)))) % 0.61/0.85 (assume @p31 (forall @t68 (=> @t72 (= (= @t70 @t62) @t69)))) % 0.61/0.85 (assume @p32 (forall @t73 (=> @t67 (tptp.nat_terminates @t64)))) % 0.61/0.85 (assume @p33 (forall @t73 (=> @t67 @t74))) % 0.61/0.85 (assume @p34 (forall @t68 (=> @t67 @t75))) % 0.61/0.85 (assume @p35 (forall @t68 (=> @t76 @t75))) % 0.61/0.85 (assume @p36 (forall @t68 (=> @t65 @t67))) % 0.61/0.85 (assume @p37 (forall @t68 (=> (and @t65 @t71) @t76))) % 0.61/0.85 (assume @p38 (forall @t68 (=> (and @t65 @t76) @t71))) % 0.61/0.85 (assume @p39 (forall @t68 (=> @t65 @t75))) % 0.61/0.85 (assume @p40 (forall @t68 (=> @t65 @t74))) % 0.61/0.85 (assume @p41 (forall @t68 (=> (and @t65 @t78) @t77))) % 0.61/0.85 (assume @p42 (forall @t68 (=> (and @t65 @t77) @t78))) % 0.61/0.85 (assume @p43 (forall @t80 (=> @t67 (exists @t79 @t65)))) % 0.61/0.85 (assume @p44 (forall @t84 (=> (and (tptp.plus_succeeds @t64 @t63 @t82) (tptp.plus_succeeds @t64 @t63 @t81)) @t83))) % 0.61/0.85 (assume @p45 (forall @t85 (= (|tptp.'@+'| |tptp.'0'| @t63) @t63))) % 0.61/0.85 (assume @p46 (forall @t80 (=> @t67 (= @t87 (tptp.s @t66))))) % 0.61/0.85 (assume @p47 (forall @t80 (=> @t72 (tptp.nat_succeeds @t66)))) % 0.61/0.85 (assume @p48 (forall @t68 (=> @t88 (= (|tptp.'@+'| @t66 @t62) (|tptp.'@+'| @t64 (|tptp.'@+'| @t63 @t62)))))) % 0.61/0.85 (assume @p49 (forall @t73 (=> @t67 (= (|tptp.'@+'| @t64 |tptp.'0'|) @t64)))) % 0.61/0.85 (assume @p50 (forall @t80 (=> @t72 (= (|tptp.'@+'| @t64 (tptp.s @t63)) @t87)))) % 0.61/0.85 (assume @p51 (forall @t80 (=> @t72 (= @t66 (|tptp.'@+'| @t63 @t64))))) % 0.61/0.85 (assume @p52 (forall @t68 (=> (and @t67 (= @t66 (|tptp.'@+'| @t64 @t62))) (= @t63 @t62)))) % 0.61/0.85 (assume @p53 (forall @t68 (=> @t69 @t67))) % 0.61/0.85 (assume @p54 (forall @t68 (=> (and @t69 @t71) @t76))) % 0.61/0.85 (assume @p55 (forall @t68 (=> @t69 @t74))) % 0.61/0.85 (assume @p56 (forall @t68 (=> (and @t69 @t78) @t77))) % 0.61/0.85 (assume @p57 (forall @t68 (=> @t72 (tptp.times_terminates @t64 @t63 @t62)))) % 0.61/0.85 (assume @p58 (forall @t80 (=> @t72 (exists @t79 @t69)))) % 0.61/0.85 (assume @p59 (forall @t84 (=> (and (tptp.times_succeeds @t64 @t63 @t82) (tptp.times_succeeds @t64 @t63 @t81)) @t83))) % 0.61/0.85 (assume @p60 @t91) % 0.61/0.85 (assume @p61 @t93) % 0.61/0.85 (assume @p62 @t95) % 0.61/0.85 (assume @p63 @t98) % 0.61/0.85 (assume @p64 @t112) % 0.61/0.85 (assume @p65 @t114) % 0.61/0.85 (assume @p66 true) % 0.61/0.85 (step @p67 :rule aci_norm :args ((= (or @t119 @t99) @t118))) % 0.61/0.85 (step @p68 :rule refl :args (@t99)) % 0.61/0.85 (step @p69 :rule aci_norm :args ((= (or @t117 (or @t116 @t115)) @t119))) % 0.61/0.85 (step @p70 :rule bool-and-de-morgan :args (@t71 @t76 true)) % 0.61/0.85 (step @p71 :rule refl :args (@t117)) % 0.61/0.85 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t117 (not (and @t71 @t76))))) % 0.61/0.85 (step @p73 :rule bool-and-de-morgan :args (@t67 @t71 (and @t76))) % 0.61/0.85 (step @p74 :rule trans :premises (@p73 @p72)) % 0.61/0.85 (step @p75 :rule trans :premises (@p74 @p69)) % 0.61/0.85 (step @p76 :rule nary_cong :premises (@p75 @p68) :args ((or @t120 @t99))) % 0.61/0.85 (step @p77 :rule trans :premises (@p76 @p67)) % 0.61/0.85 (step @p78 :rule bool-impl-elim :args (@t88 @t99)) % 0.61/0.85 (step @p79 :rule trans :premises (@p78 @p77)) % 0.61/0.85 (step @p80 :rule cong :premises (@p79) :args (@t113)) % 0.61/0.85 (step @p81 :rule cong :premises (@p80) :args (@t114)) % 0.61/0.85 (step @p82 :rule eq_resolve :premises (@p65 @p81)) % 0.61/0.85 (step @p83 :rule aci_norm :args ((= @t118 @t121))) % 0.61/0.85 (step @p84 :rule cong :premises (@p83) :args (@t122)) % 0.61/0.85 (step @p85 :rule symm :premises (@p84)) % 0.61/0.85 (step @p86 :rule true_intro :premises (@p85)) % 0.61/0.85 (step @p87 :rule eq-symm :args (@t122 @t123)) % 0.61/0.85 (step @p88 :rule trans :premises (@p87 @p86)) % 0.61/0.85 (step @p89 :rule cong :premises (@p85 @p84) :args ((= @t123 @t122))) % 0.61/0.85 (step @p90 :rule trans :premises (@p89 @p88)) % 0.61/0.85 (step @p91 :rule true_elim :premises (@p90)) % 0.61/0.85 (step @p92 :rule alpha_equiv :args ((forall (@list @t126 @t125 @t124) (or (not (tptp.nat_succeeds @t126)) (not (tptp.nat_succeeds @t124)) (not (tptp.nat_succeeds @t125)) (= (|tptp.'@*'| (|tptp.'@*'| @t126 @t125) @t124) (|tptp.'@*'| @t126 (|tptp.'@*'| @t125 @t124))))) @t127 (@list @t64 @t63 @t62))) % 0.61/0.85 (step @p93 :rule alpha_equiv :args (@t135 (@list @t64 @t129 @t128) @t127)) % 0.61/0.85 (step @p94 :rule trans :premises (@p93 @p92 @p91)) % 0.61/0.85 (step @p95 :rule equiv_elim1 :premises (@p94)) % 0.61/0.85 (step @p96 :rule reordering :premises (@p95) :args ((or @t122 @t136))) % 0.61/0.85 (step @p97 :rule chain_m_resolution :premises (@p96 @p82) :args (@t136 @t137 (@list @t122))) % 0.61/0.85 (step @p98 :rule aci_norm :args ((= @t139 @t133))) % 0.61/0.85 (step @p99 :rule cong :premises (@p98) :args (@t140)) % 0.61/0.85 (step @p100 :rule quant-merge-prenex :args ((= (forall @t73 @t142) @t140))) % 0.61/0.85 (step @p101 :rule alpha_equiv :args (@t143 (@list @t129 @t128) @t144)) % 0.61/0.85 (step @p102 :rule nary_cong :premises (@p71 @p101) :args (@t145)) % 0.61/0.85 (step @p103 :rule quant-miniscope-or :args ((= @t142 @t145))) % 0.61/0.85 (step @p104 :rule trans :premises (@p103 @p102)) % 0.61/0.85 (step @p105 :rule symm :premises (@p104)) % 0.61/0.85 (step @p106 :rule cong :premises (@p105) :args ((forall @t73 (or @t117 @t147)))) % 0.61/0.85 (step @p107 :rule trans :premises (@p106 @p100)) % 0.61/0.85 (step @p108 :rule trans :premises (@p107 @p99)) % 0.61/0.85 (step @p109 :rule bool-impl-elim :args (@t67 @t147)) % 0.61/0.85 (step @p110 :rule cong :premises (@p109) :args ((forall @t73 (=> @t67 @t147)))) % 0.61/0.85 (step @p111 :rule trans :premises (@p110 @p108)) % 0.61/0.85 (step @p112 :rule aci_norm :args ((= (or @t148 @t99) @t146))) % 0.61/0.85 (step @p113 :rule bool-and-de-morgan :args (@t76 @t71 true)) % 0.61/0.85 (step @p114 :rule nary_cong :premises (@p113 @p68) :args ((or @t149 @t99))) % 0.61/0.85 (step @p115 :rule trans :premises (@p114 @p112)) % 0.61/0.85 (step @p116 :rule bool-impl-elim :args (@t100 @t99)) % 0.61/0.85 (step @p117 :rule trans :premises (@p116 @p115)) % 0.61/0.85 (step @p118 :rule cong :premises (@p117) :args (@t102)) % 0.61/0.85 (step @p119 :rule refl :args (@t67)) % 0.61/0.85 (step @p120 :rule cong :premises (@p119 @p118) :args (@t103)) % 0.61/0.85 (step @p121 :rule cong :premises (@p120) :args (@t104)) % 0.61/0.85 (step @p122 :rule trans :premises (@p121 @p111)) % 0.61/0.85 (step @p123 :rule refl :args (@t152)) % 0.61/0.85 (step @p124 :rule refl :args (@t153)) % 0.61/0.85 (step @p125 :rule refl :args (@t154)) % 0.61/0.85 (step @p126 :rule refl :args (@t156)) % 0.61/0.85 (step @p127 :rule refl :args (@t158)) % 0.61/0.85 (step @p128 :rule refl :args (@t159)) % 0.61/0.85 (step @p129 :rule eq-symm :args (@t160 @t64)) % 0.61/0.85 (step @p130 :rule cong :premises (@p129) :args (@t161)) % 0.61/0.85 (step @p131 :rule nary_cong :premises (@p130 @p128 @p127) :args (@t162)) % 0.61/0.85 (step @p132 :rule nary_cong :premises (@p131 @p126) :args (@t163)) % 0.61/0.85 (step @p133 :rule nary_cong :premises (@p132 @p125 @p124 @p123) :args (@t164)) % 0.61/0.85 (step @p134 :rule aci_norm :args ((= @t166 @t164))) % 0.61/0.85 (step @p135 :rule trans :premises (@p134 @p133)) % 0.61/0.85 (step @p136 :rule cong :premises (@p135) :args (@t168)) % 0.61/0.85 (step @p137 :rule quant-merge-prenex :args ((= (forall @t73 @t169) @t168))) % 0.61/0.85 (step @p138 :rule alpha_equiv :args (@t170 (@list @t151 @t150) @t144)) % 0.61/0.85 (step @p139 :rule quant-unused-vars :args ((= @t172 @t156))) % 0.61/0.85 (step @p140 :rule alpha_equiv :args (@t173 (@list @t157) (@list @t38))) % 0.61/0.85 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t174)) % 0.61/0.85 (step @p142 :rule quant-miniscope-and :args ((= @t175 @t174))) % 0.61/0.85 (step @p143 :rule trans :premises (@p142 @p141)) % 0.61/0.85 (step @p144 :rule nary_cong :premises (@p143 @p138) :args (@t176)) % 0.61/0.85 (step @p145 :rule quant-miniscope-or :args ((= @t169 @t176))) % 0.61/0.85 (step @p146 :rule trans :premises (@p145 @p144)) % 0.61/0.85 (step @p147 :rule symm :premises (@p146)) % 0.61/0.85 (step @p148 :rule cong :premises (@p147) :args ((forall @t73 (or (and @t184 @t156) @t147)))) % 0.61/0.85 (step @p149 :rule trans :premises (@p148 @p137)) % 0.61/0.85 (step @p150 :rule trans :premises (@p149 @p136)) % 0.61/0.85 (step @p151 :rule refl :args (@t147)) % 0.61/0.85 (step @p152 :rule refl :args (@t156)) % 0.61/0.85 (step @p153 :rule bool-double-not-elim :args (@t184)) % 0.61/0.85 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((and (not @t185) @t156))) % 0.61/0.85 (step @p155 :rule bool-or-de-morgan :args (@t185 @t155 false)) % 0.61/0.85 (step @p156 :rule trans :premises (@p155 @p154)) % 0.61/0.85 (step @p157 :rule nary_cong :premises (@p156 @p151) :args ((or (not @t186) @t147))) % 0.61/0.85 (step @p158 :rule bool-impl-elim :args (@t186 @t147)) % 0.61/0.85 (step @p159 :rule trans :premises (@p158 @p157)) % 0.61/0.85 (step @p160 :rule cong :premises (@p159) :args ((forall @t73 (=> @t186 @t147)))) % 0.61/0.85 (step @p161 :rule trans :premises (@p160 @p150)) % 0.61/0.85 (step @p162 :rule eq-symm :args (@t64 |tptp.'0'|)) % 0.61/0.85 (step @p163 :rule aci_norm :args ((= (or @t182 (or @t180 @t179)) @t183))) % 0.61/0.85 (step @p164 :rule bool-and-de-morgan :args (@t56 @t178 true)) % 0.61/0.85 (step @p165 :rule refl :args (@t182)) % 0.61/0.85 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t182 (not (and @t56 @t178))))) % 0.61/0.85 (step @p167 :rule bool-and-de-morgan :args (@t181 @t56 (and @t178))) % 0.61/0.85 (step @p168 :rule trans :premises (@p167 @p166)) % 0.61/0.85 (step @p169 :rule trans :premises (@p168 @p163)) % 0.61/0.85 (step @p170 :rule cong :premises (@p169) :args (@t188)) % 0.61/0.85 (step @p171 :rule cong :premises (@p170) :args (@t189)) % 0.61/0.85 (step @p172 :rule exists-elim :args ((= (exists @t59 @t187) @t189))) % 0.61/0.85 (step @p173 :rule trans :premises (@p172 @p171)) % 0.61/0.85 (step @p174 :rule aci_norm :args ((= (or @t148 @t105) @t177))) % 0.61/0.85 (step @p175 :rule refl :args (@t105)) % 0.61/0.85 (step @p176 :rule nary_cong :premises (@p113 @p175) :args ((or @t149 @t105))) % 0.61/0.85 (step @p177 :rule trans :premises (@p176 @p174)) % 0.61/0.85 (step @p178 :rule bool-impl-elim :args (@t100 @t105)) % 0.61/0.85 (step @p179 :rule trans :premises (@p178 @p177)) % 0.61/0.85 (step @p180 :rule cong :premises (@p179) :args (@t106)) % 0.61/0.85 (step @p181 :rule refl :args (@t56)) % 0.61/0.85 (step @p182 :rule eq-symm :args (@t64 @t57)) % 0.61/0.85 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180) :args (@t107)) % 0.61/0.85 (step @p184 :rule cong :premises (@p183) :args (@t108)) % 0.61/0.85 (step @p185 :rule trans :premises (@p184 @p173)) % 0.61/0.85 (step @p186 :rule nary_cong :premises 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@t202)))) % 0.61/0.85 (step @p228 :rule cnf_or_neg :args (@t215 1)) % 0.61/0.85 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 0.61/0.85 (step @p230 :rule reordering :premises (@p229) :args ((or @t201 @t215))) % 0.61/0.85 (step @p231 :rule chain_m_resolution :premises (@p230 @p195) :args (@t201 @t137 @t217)) % 0.61/0.85 (step @p232 :rule cnf_or_pos :args (@t223)) % 0.61/0.85 (step @p233 :rule reordering :premises (@p232) :args ((or @t202 @t200 @t222 (not @t223)))) % 0.61/0.85 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p225 @p218) :args (@t222 @t224 (@list @t201 @t199 @t223))) % 0.61/0.85 (step @p235 :rule cnf_or_pos :args (@t228)) % 0.61/0.85 (step @p236 :rule reordering :premises (@p235) :args ((or @t227 @t226 (not @t228)))) % 0.61/0.85 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p208) :args (@t226 @t229 (@list @t222 @t228))) % 0.61/0.85 (step @p238 :rule instantiate :premises (@p207) :args ((@list @t192))) % 0.61/0.85 (step @p239 :rule 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0.61/0.85 (step @p297 :rule aci_norm :args ((= (or @t219 @t92) (or @t117 @t116 @t92)))) % 0.61/0.85 (step @p298 :rule refl :args (@t92)) % 0.61/0.85 (step @p299 :rule nary_cong :premises (@p211 @p298) :args ((or @t220 @t92))) % 0.61/0.85 (step @p300 :rule trans :premises (@p299 @p297)) % 0.61/0.85 (step @p301 :rule bool-impl-elim :args (@t72 @t92)) % 0.61/0.85 (step @p302 :rule trans :premises (@p301 @p300)) % 0.61/0.85 (step @p303 :rule cong :premises (@p302) :args (@t93)) % 0.61/0.85 (step @p304 :rule eq_resolve :premises (@p61 @p303)) % 0.61/0.85 (step @p305 :rule instantiate :premises (@p304) :args ((@list @t205 @t194))) % 0.61/0.85 (step @p306 :rule bool-double-not-elim :args (@t208)) % 0.61/0.85 (step @p307 :rule nary_cong :premises (@p291 @p306) :args ((or @t213 (not @t209)))) % 0.61/0.85 (step @p308 :rule cnf_or_neg :args (@t213 1)) % 0.61/0.85 (step @p309 :rule eq_resolve :premises (@p308 @p307)) % 0.61/0.85 (step @p310 :rule reordering :premises (@p309) :args ((or @t208 @t213))) % 0.61/0.85 (step @p311 :rule chain_m_resolution :premises (@p310 @p289) :args (@t208 @t137 @t236)) % 0.61/0.85 (step @p312 :rule cnf_or_pos :args (@t240)) % 0.61/0.85 (step @p313 :rule reordering :premises (@p312) :args ((or @t209 @t227 @t239 (not @t240)))) % 0.61/0.85 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p234 @p305) :args (@t239 @t224 (@list @t208 @t222 @t240))) % 0.61/0.85 (step @p315 :rule instantiate :premises (@p304) :args (@t241)) % 0.61/0.85 (step @p316 :rule cnf_or_pos :args (@t246)) % 0.61/0.85 (step @p317 :rule reordering :premises (@p316) :args ((or @t209 @t200 @t245 (not @t246)))) % 0.61/0.85 (step @p318 :rule chain_m_resolution :premises (@p317 @p311 @p225 @p315) :args (@t245 @t224 (@list @t208 @t199 @t246))) % 0.61/0.85 (step @p319 :rule bool-double-not-elim :args (@t206)) % 0.61/0.85 (step @p320 :rule nary_cong :premises (@p291 @p319) :args ((or @t213 (not @t207)))) % 0.61/0.85 (step @p321 :rule cnf_or_neg :args (@t213 2)) % 0.61/0.85 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 0.61/0.85 (step @p323 :rule reordering :premises (@p322) :args ((or @t206 @t213))) % 0.61/0.85 (step @p324 :rule chain_m_resolution :premises (@p323 @p289) :args (@t206 @t137 @t236)) % 0.61/0.85 (step @p325 :rule eq-symm :args (@t247 @t237)) % 0.61/0.85 (step @p326 :rule refl :args (@t200)) % 0.61/0.85 (step @p327 :rule refl :args (@t202)) % 0.61/0.85 (step @p328 :rule nary_cong :premises (@p327 @p326 @p325) :args (@t248)) % 0.61/0.85 (step @p329 :rule refl :args (@t206)) % 0.61/0.85 (step @p330 :rule cong :premises (@p329 @p328) :args ((=> @t206 @t248))) % 0.61/0.85 (assume-push @p424 @t206) % 0.61/0.85 (step @p332 :rule instantiate :premises (@p424) :args (@t221)) % 0.61/0.85 (step-pop @p425 :rule scope :premises (@p332)) % 0.61/0.85 (step @p333 :rule process_scope :premises (@p425) :args (@t248)) % 0.61/0.85 (step @p335 :rule eq_resolve :premises (@p333 @p330)) % 0.61/0.85 (step @p336 :rule implies_elim :premises (@p335)) % 0.61/0.85 (step @p337 :rule chain_m_resolution :premises (@p336 @p324) :args (@t250 (@list false) (@list @t206))) % 0.61/0.85 (step @p338 :rule cnf_or_pos :args (@t250)) % 0.61/0.85 (step @p339 :rule reordering :premises (@p338) :args ((or @t202 @t200 @t249 (not @t250)))) % 0.61/0.85 (step @p340 :rule chain_m_resolution :premises (@p339 @p231 @p225 @p337) :args (@t249 @t224 (@list @t201 @t199 @t250))) % 0.61/0.85 (step @p341 :rule aci_norm :args ((= (or @t119 @t97) (or @t117 @t116 @t115 @t97)))) % 0.61/0.85 (step @p342 :rule refl :args (@t97)) % 0.61/0.85 (step @p343 :rule nary_cong :premises (@p75 @p342) :args ((or @t120 @t97))) % 0.61/0.85 (step @p344 :rule trans :premises (@p343 @p341)) % 0.61/0.85 (step @p345 :rule bool-impl-elim :args (@t88 @t97)) % 0.61/0.85 (step @p346 :rule trans :premises (@p345 @p344)) % 0.61/0.85 (step @p347 :rule cong :premises (@p346) :args (@t98)) % 0.61/0.85 (step @p348 :rule eq_resolve :premises (@p63 @p347)) % 0.61/0.85 (step @p349 :rule instantiate 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bool-double-not-elim :args (@t198)) % 0.61/0.85 (step @p362 :rule refl :args (@t212)) % 0.61/0.85 (step @p363 :rule nary_cong :premises (@p362 @p361 @p360 @p359 @p358 @p357) :args ((or @t212 (not @t216) @t261 @t260 @t259 @t258))) % 0.61/0.85 (assume-push @p426 @t211) % 0.61/0.85 (assume-push @p427 @t216) % 0.61/0.85 (assume-push @p428 @t239) % 0.61/0.85 (assume-push @p429 @t245) % 0.61/0.85 (assume-push @p430 @t249) % 0.61/0.85 (assume-push @p431 @t216) % 0.61/0.85 (assume-push @p432 @t211) % 0.61/0.85 (assume-push @p433 @t245) % 0.61/0.85 (assume-push @p434 @t239) % 0.61/0.85 (assume-push @p435 @t249) % 0.61/0.85 (step @p374 :rule false_intro :premises (@p197)) % 0.61/0.85 (step @p254 :rule refl :args (@t194)) % 0.61/0.85 (step @p375 :rule symm :premises (@p426)) % 0.61/0.85 (step @p376 :rule cong :premises (@p375 @p254) :args (@t238)) % 0.61/0.85 (step @p377 :rule symm :premises (@p428)) % 0.61/0.85 (step @p378 :rule symm :premises (@p430)) % 0.61/0.85 (step @p379 :rule cong 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process_scope :premises (@p440) :args (@t258)) % 0.61/0.85 (step @p394 :rule and_intro :premises (@p197 @p426 @p429 @p428 @p430)) % 0.61/0.85 (step @p395 :rule modus_ponens :premises (@p394 @p388)) % 0.61/0.85 (step-pop @p441 :rule scope :premises (@p395)) % 0.61/0.85 (step-pop @p442 :rule scope :premises (@p441)) % 0.61/0.85 (step-pop @p443 :rule scope :premises (@p442)) % 0.61/0.85 (step-pop @p444 :rule scope :premises (@p443)) % 0.61/0.85 (step-pop @p445 :rule scope :premises (@p444)) % 0.61/0.85 (step @p396 :rule process_scope :premises (@p445) :args (@t258)) % 0.61/0.85 (step @p402 :rule implies_elim :premises (@p396)) % 0.61/0.85 (step @p403 :rule cnf_and_neg :args (@t262)) % 0.61/0.85 (step @p404 :rule resolution :premises (@p403 @p402) :args (true @t262)) % 0.61/0.85 (step @p405 :rule eq_resolve :premises (@p404 @p363)) % 0.61/0.85 (step @p406 :rule reordering :premises (@p405) :args ((or @t212 @t198 @t261 @t260 @t258 @t259))) % 0.61/0.85 (step @p407 false :rule chain_m_resolution :premises (@p406 @p356 @p340 @p318 @p314 @p296 @p197) :args (false (@list false false false false false true) (@list @t255 @t249 @t245 @t239 @t211 @t198))) % 0.61/0.85 ) % 0.61/0.85 % SZS output end Proof % 0.61/0.85 % cvc5 exiting %------------------------------------------------------------------------------