%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX034+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 : n023.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 0.88s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX034+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 : n023.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 22:54:43 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.61/0.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.88 % SZS status Theorem % 0.61/0.88 % SZS output start Proof % 0.61/0.88 ( % 0.61/0.88 (declare-sort $$unsorted 0) % 0.61/0.88 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 0.61/0.88 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.61/0.88 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.88 (declare-const tptp.gr (-> $$unsorted Bool)) % 0.61/0.88 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.88 (declare-const |tptp.'0'| $$unsorted) % 0.61/0.88 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.88 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.88 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 0.61/0.88 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.88 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.88 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.88 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.88 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.88 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.88 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.88 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 0.61/0.88 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.88 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.88 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.61/0.88 (define @t1 () (@var "Xx3" $$unsorted)) % 0.61/0.88 (define @t2 () (tptp.s @t1)) % 0.61/0.88 (define @t3 () (@var "Xx5" $$unsorted)) % 0.61/0.88 (define @t4 () (@var "Xx4" $$unsorted)) % 0.61/0.88 (define @t5 () (= @t4 @t3)) % 0.61/0.88 (define @t6 () (tptp.s @t3)) % 0.61/0.88 (define @t7 () (tptp.s @t4)) % 0.61/0.88 (define @t8 () (= @t7 @t6)) % 0.61/0.88 (define @t9 () (@list @t4 @t3)) % 0.61/0.88 (define @t10 () (forall @t9 (=> @t8 @t5))) % 0.61/0.88 (define @t11 () (@var "Xx6" $$unsorted)) % 0.61/0.88 (define @t12 () (@var "Xx9" $$unsorted)) % 0.61/0.88 (define @t13 () (@var "Xx8" $$unsorted)) % 0.61/0.88 (define @t14 () (@var "Xx7" $$unsorted)) % 0.61/0.88 (define @t15 () (tptp.times_fails @t14 @t13 @t12)) % 0.61/0.88 (define @t16 () (tptp.times_succeeds @t14 @t13 @t12)) % 0.61/0.88 (define @t17 () (@list @t14 @t13 @t12)) % 0.61/0.88 (define @t18 () (@var "Xx12" $$unsorted)) % 0.61/0.88 (define @t19 () (@var "Xx11" $$unsorted)) % 0.61/0.88 (define @t20 () (@var "Xx10" $$unsorted)) % 0.61/0.88 (define @t21 () (tptp.plus_fails @t20 @t19 @t18)) % 0.61/0.88 (define @t22 () (tptp.plus_succeeds @t20 @t19 @t18)) % 0.61/0.88 (define @t23 () (@list @t20 @t19 @t18)) % 0.61/0.88 (define @t24 () (@var "Xx14" $$unsorted)) % 0.61/0.88 (define @t25 () (@var "Xx13" $$unsorted)) % 0.61/0.88 (define @t26 () (|tptp.'@=<_fails'| @t25 @t24)) % 0.61/0.88 (define @t27 () (|tptp.'@=<_succeeds'| @t25 @t24)) % 0.61/0.88 (define @t28 () (@list @t25 @t24)) % 0.61/0.88 (define @t29 () (@var "Xx16" $$unsorted)) % 0.61/0.88 (define @t30 () (@var "Xx15" $$unsorted)) % 0.61/0.88 (define @t31 () (|tptp.'@<_fails'| @t30 @t29)) % 0.61/0.88 (define @t32 () (|tptp.'@<_succeeds'| @t30 @t29)) % 0.61/0.88 (define @t33 () (@list @t30 @t29)) % 0.61/0.88 (define @t34 () (@var "Xx17" $$unsorted)) % 0.61/0.88 (define @t35 () (tptp.nat_fails @t34)) % 0.61/0.88 (define @t36 () (tptp.nat_succeeds @t34)) % 0.61/0.88 (define @t37 () (@list @t34)) % 0.61/0.88 (define @t38 () (= @t1 |tptp.'0'|)) % 0.61/0.88 (define @t39 () (@var "Xx1" $$unsorted)) % 0.61/0.88 (define @t40 () (= @t39 |tptp.'0'|)) % 0.61/0.88 (define @t41 () (@var "Xx2" $$unsorted)) % 0.61/0.88 (define @t42 () (= @t39 @t7)) % 0.61/0.88 (define @t43 () (@list @t39 @t41 @t1)) % 0.61/0.88 (define @t44 () (not @t40)) % 0.61/0.88 (define @t45 () (tptp.times_fails @t4 @t41 @t3)) % 0.61/0.88 (define @t46 () (not @t42)) % 0.61/0.88 (define @t47 () (or @t44 true)) % 0.61/0.88 (define @t48 () (and (tptp.times_terminates @t4 @t41 @t3) (or @t45 (tptp.plus_terminates @t41 @t3 @t1)))) % 0.61/0.88 (define @t49 () (or @t46 @t48)) % 0.61/0.88 (define @t50 () (and true @t49)) % 0.61/0.88 (define @t51 () (forall @t9 @t50)) % 0.61/0.88 (define @t52 () (and @t51 true @t47)) % 0.61/0.88 (define @t53 () (tptp.times_terminates @t39 @t41 @t1)) % 0.61/0.88 (define @t54 () (= @t53 @t52)) % 0.61/0.88 (define @t55 () (forall @t43 @t54)) % 0.61/0.88 (define @t56 () (= @t1 @t41)) % 0.61/0.88 (define @t57 () (= @t1 @t6)) % 0.61/0.88 (define @t58 () (not @t57)) % 0.61/0.88 (define @t59 () (= @t41 @t7)) % 0.61/0.88 (define @t60 () (= @t39 @t2)) % 0.61/0.88 (define @t61 () (@list @t1 @t4)) % 0.61/0.88 (define @t62 () (@list @t39 @t41)) % 0.61/0.88 (define @t63 () (not @t59)) % 0.61/0.88 (define @t64 () (not @t60)) % 0.61/0.88 (define @t65 () (= @t41 @t6)) % 0.61/0.88 (define @t66 () (@list @t3)) % 0.61/0.88 (define @t67 () (tptp.nat_succeeds @t41)) % 0.61/0.88 (define @t68 () (tptp.s @t41)) % 0.61/0.88 (define @t69 () (= @t39 @t68)) % 0.61/0.88 (define @t70 () (@list @t41)) % 0.61/0.88 (define @t71 () (@list @t39)) % 0.61/0.88 (define @t72 () (not @t69)) % 0.61/0.88 (define @t73 () (@var "Xz" $$unsorted)) % 0.61/0.88 (define @t74 () (@var "Xy" $$unsorted)) % 0.61/0.88 (define @t75 () (@var "Xx" $$unsorted)) % 0.61/0.88 (define @t76 () (tptp.plus_succeeds @t75 @t74 @t73)) % 0.61/0.88 (define @t77 () (|tptp.'@+'| @t75 @t74)) % 0.61/0.88 (define @t78 () (tptp.nat_succeeds @t75)) % 0.61/0.88 (define @t79 () (@list @t75 @t74 @t73)) % 0.61/0.88 (define @t80 () (tptp.times_succeeds @t75 @t74 @t73)) % 0.61/0.88 (define @t81 () (tptp.nat_succeeds @t74)) % 0.61/0.88 (define @t82 () (and @t78 @t81)) % 0.61/0.88 (define @t83 () (@list @t75)) % 0.61/0.88 (define @t84 () (tptp.gr @t75)) % 0.61/0.88 (define @t85 () (tptp.plus_terminates @t75 @t74 @t73)) % 0.61/0.88 (define @t86 () (forall @t79 (=> @t78 @t85))) % 0.61/0.88 (define @t87 () (tptp.nat_succeeds @t73)) % 0.61/0.88 (define @t88 () (tptp.gr @t73)) % 0.61/0.88 (define @t89 () (tptp.gr @t74)) % 0.61/0.88 (define @t90 () (@list @t75 @t74)) % 0.61/0.88 (define @t91 () (@var "Xz2" $$unsorted)) % 0.61/0.88 (define @t92 () (@var "Xz1" $$unsorted)) % 0.61/0.88 (define @t93 () (|tptp.'@+'| (tptp.s @t75) @t74)) % 0.61/0.88 (define @t94 () (tptp.times_terminates @t75 @t74 @t73)) % 0.61/0.88 (define @t95 () (@list @t74 @t73)) % 0.61/0.88 (define @t96 () (forall @t95 (=> @t81 @t94))) % 0.61/0.88 (define @t97 () (=> @t78 @t96)) % 0.61/0.88 (define @t98 () (forall @t83 @t97)) % 0.61/0.88 (define @t99 () (tptp.times_terminates @t41 @t74 @t73)) % 0.61/0.88 (define @t100 () (forall @t95 (=> @t81 @t99))) % 0.61/0.88 (define @t101 () (and (= @t75 @t68) @t67 @t100)) % 0.61/0.88 (define @t102 () (exists @t70 @t101)) % 0.61/0.88 (define @t103 () (or @t102 (= @t75 |tptp.'0'|))) % 0.61/0.88 (define @t104 () (=> @t103 @t96)) % 0.61/0.88 (define @t105 () (forall @t83 @t104)) % 0.61/0.88 (define @t106 () (=> @t105 @t98)) % 0.61/0.88 (define @t107 () (forall @t79 (=> @t82 @t94))) % 0.61/0.88 (define @t108 () (not @t107)) % 0.61/0.88 (define @t109 () (not @t81)) % 0.61/0.88 (define @t110 () (not @t78)) % 0.61/0.88 (define @t111 () (or @t110 @t109 @t94)) % 0.61/0.88 (define @t112 () (@var "BOUND_VARIABLE_8760" $$unsorted)) % 0.61/0.88 (define @t113 () (@var "BOUND_VARIABLE_8759" $$unsorted)) % 0.61/0.88 (define @t114 () (@var "BOUND_VARIABLE_8758" $$unsorted)) % 0.61/0.88 (define @t115 () (@list @t114 @t113 @t112)) % 0.61/0.88 (define @t116 () (@var "BOUND_VARIABLE_8209" $$unsorted)) % 0.61/0.88 (define @t117 () (@var "BOUND_VARIABLE_8207" $$unsorted)) % 0.61/0.88 (define @t118 () (tptp.times_terminates @t75 @t117 @t116)) % 0.61/0.88 (define @t119 () (not (tptp.nat_succeeds @t117))) % 0.61/0.88 (define @t120 () (or @t110 @t119 @t118)) % 0.61/0.88 (define @t121 () (@list @t75 @t117 @t116)) % 0.61/0.88 (define @t122 () (forall @t121 @t120)) % 0.61/0.88 (define @t123 () (not @t122)) % 0.61/0.88 (define @t124 () (forall @t79 @t111)) % 0.61/0.88 (define @t125 () (@list true)) % 0.61/0.88 (define @t126 () (or @t119 @t118)) % 0.61/0.88 (define @t127 () (or @t110 @t126)) % 0.61/0.88 (define @t128 () (forall @t121 @t127)) % 0.61/0.88 (define @t129 () (@list @t117 @t116)) % 0.61/0.88 (define @t130 () (forall @t129 @t127)) % 0.61/0.88 (define @t131 () (forall @t129 @t126)) % 0.61/0.88 (define @t132 () (@list @t74 @t73)) % 0.61/0.88 (define @t133 () (or @t110 @t131)) % 0.61/0.88 (define @t134 () (forall @t95 (or @t109 @t94))) % 0.61/0.88 (define @t135 () (@var "BOUND_VARIABLE_8187" $$unsorted)) % 0.61/0.88 (define @t136 () (@var "BOUND_VARIABLE_8185" $$unsorted)) % 0.61/0.88 (define @t137 () (tptp.times_terminates @t75 @t136 @t135)) % 0.61/0.88 (define @t138 () (not (tptp.nat_succeeds @t136))) % 0.61/0.88 (define @t139 () (= |tptp.'0'| @t75)) % 0.61/0.88 (define @t140 () (not @t139)) % 0.61/0.88 (define @t141 () (@var "BOUND_VARIABLE_8172" $$unsorted)) % 0.61/0.88 (define @t142 () (not (forall @t95 (or @t109 (tptp.times_terminates @t141 @t74 @t73))))) % 0.61/0.88 (define @t143 () (not (tptp.nat_succeeds @t141))) % 0.61/0.88 (define @t144 () (tptp.s @t141)) % 0.61/0.88 (define @t145 () (not (= @t144 @t75))) % 0.61/0.88 (define @t146 () (or @t145 @t143 @t142)) % 0.61/0.88 (define @t147 () (and @t146 @t140)) % 0.61/0.88 (define @t148 () (or @t147 @t138 @t137)) % 0.61/0.88 (define @t149 () (or @t138 @t137)) % 0.61/0.88 (define @t150 () (or @t147 @t149)) % 0.61/0.88 (define @t151 () (@list @t75 @t141 @t136 @t135)) % 0.61/0.88 (define @t152 () (forall @t151 @t150)) % 0.61/0.88 (define @t153 () (forall (@list @t141 @t136 @t135) @t150)) % 0.61/0.88 (define @t154 () (forall (@list @t136 @t135) @t149)) % 0.61/0.88 (define @t155 () (@list @t141)) % 0.61/0.88 (define @t156 () (forall @t155 @t140)) % 0.61/0.88 (define @t157 () (forall @t155 @t146)) % 0.61/0.88 (define @t158 () (and @t157 @t156)) % 0.61/0.88 (define @t159 () (forall @t155 @t147)) % 0.61/0.88 (define @t160 () (or @t159 @t154)) % 0.61/0.88 (define @t161 () (forall @t95 (or @t109 @t99))) % 0.61/0.88 (define @t162 () (not @t161)) % 0.61/0.88 (define @t163 () (not @t67)) % 0.61/0.88 (define @t164 () (= @t68 @t75)) % 0.61/0.88 (define @t165 () (not @t164)) % 0.61/0.88 (define @t166 () (or @t165 @t163 @t162)) % 0.61/0.88 (define @t167 () (forall @t70 @t166)) % 0.61/0.88 (define @t168 () (not @t167)) % 0.61/0.88 (define @t169 () (or @t168 @t139)) % 0.61/0.88 (define @t170 () (and @t164 @t67 @t161)) % 0.61/0.88 (define @t171 () (forall @t70 (not @t170))) % 0.61/0.88 (define @t172 () (not @t171)) % 0.61/0.88 (define @t173 () (forall @t151 (or (and (or (not (= @t75 @t144)) @t143 @t142) @t140) @t138 @t137))) % 0.61/0.88 (define @t174 () (not @t173)) % 0.61/0.88 (define @t175 () (@quantifiers_skolemize @t173 3)) % 0.61/0.88 (define @t176 () (@quantifiers_skolemize @t173 2)) % 0.61/0.88 (define @t177 () (@quantifiers_skolemize @t173 0)) % 0.61/0.88 (define @t178 () (tptp.times_terminates @t177 @t176 @t175)) % 0.61/0.88 (define @t179 () (tptp.nat_succeeds @t176)) % 0.61/0.88 (define @t180 () (not @t179)) % 0.61/0.88 (define @t181 () (= |tptp.'0'| @t177)) % 0.61/0.88 (define @t182 () (not @t181)) % 0.61/0.88 (define @t183 () (@quantifiers_skolemize @t173 1)) % 0.61/0.88 (define @t184 () (forall @t95 (or @t109 (tptp.times_terminates @t183 @t74 @t73)))) % 0.61/0.88 (define @t185 () (not @t184)) % 0.61/0.88 (define @t186 () (tptp.s @t183)) % 0.61/0.88 (define @t187 () (= @t177 @t186)) % 0.61/0.88 (define @t188 () (not @t187)) % 0.61/0.88 (define @t189 () (or @t188 (not (tptp.nat_succeeds @t183)) @t185)) % 0.61/0.88 (define @t190 () (and @t189 @t182)) % 0.61/0.88 (define @t191 () (or @t190 @t180 @t178)) % 0.61/0.88 (define @t192 () (@list @t191)) % 0.61/0.88 (define @t193 () (forall @t9 (or (not (= @t7 @t177)) (and (tptp.times_terminates @t4 @t176 @t3) (or (tptp.times_fails @t4 @t176 @t3) (tptp.plus_terminates @t176 @t3 @t175)))))) % 0.61/0.88 (define @t194 () (@quantifiers_skolemize @t193 0)) % 0.61/0.88 (define @t195 () (forall @t9 (or (not (= @t7 @t39)) @t48))) % 0.61/0.88 (define @t196 () (and @t51 @t47)) % 0.61/0.88 (define @t197 () (= @t178 @t193)) % 0.61/0.88 (define @t198 () (not @t193)) % 0.61/0.88 (define @t199 () (@list true false)) % 0.61/0.88 (define @t200 () (@quantifiers_skolemize @t193 1)) % 0.61/0.88 (define @t201 () (tptp.plus_terminates @t176 @t200 @t175)) % 0.61/0.88 (define @t202 () (or (tptp.times_fails @t194 @t176 @t200) @t201)) % 0.61/0.88 (define @t203 () (tptp.times_terminates @t194 @t176 @t200)) % 0.61/0.88 (define @t204 () (and @t203 @t202)) % 0.61/0.88 (define @t205 () (tptp.s @t194)) % 0.61/0.88 (define @t206 () (= @t177 @t205)) % 0.61/0.88 (define @t207 () (not @t206)) % 0.61/0.88 (define @t208 () (or @t207 @t204)) % 0.61/0.88 (define @t209 () (not @t208)) % 0.61/0.88 (define @t210 () (not (= @t205 @t177))) % 0.61/0.88 (define @t211 () (or @t210 @t204)) % 0.61/0.88 (define @t212 () (not @t211)) % 0.61/0.88 (define @t213 () (@list @t208)) % 0.61/0.88 (define @t214 () (not @t189)) % 0.61/0.88 (define @t215 () (@list @t189)) % 0.61/0.88 (define @t216 () (tptp.times_terminates @t183 @t176 @t200)) % 0.61/0.88 (define @t217 () (or @t180 @t216)) % 0.61/0.88 (define @t218 () (@list false false)) % 0.61/0.88 (define @t219 () (= @t183 @t194)) % 0.61/0.88 (define @t220 () (= @t186 @t205)) % 0.61/0.88 (define @t221 () (not @t220)) % 0.61/0.88 (define @t222 () (or @t221 @t219)) % 0.61/0.88 (define @t223 () (or @t180 @t201)) % 0.61/0.88 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 0.61/0.88 (assume @p2 @t10) % 0.61/0.88 (assume @p3 (tptp.gr |tptp.'0'|)) % 0.61/0.88 (assume @p4 (forall (@list @t11) (= (tptp.gr @t11) (tptp.gr (tptp.s @t11))))) % 0.61/0.88 (assume @p5 (forall @t17 (not (and @t16 @t15)))) % 0.61/0.88 (assume @p6 (forall @t17 (=> (tptp.times_terminates @t14 @t13 @t12) (or @t16 @t15)))) % 0.61/0.88 (assume @p7 (forall @t23 (not (and @t22 @t21)))) % 0.61/0.88 (assume @p8 (forall @t23 (=> (tptp.plus_terminates @t20 @t19 @t18) (or @t22 @t21)))) % 0.61/0.88 (assume @p9 (forall @t28 (not (and @t27 @t26)))) % 0.61/0.88 (assume @p10 (forall @t28 (=> (|tptp.'@=<_terminates'| @t25 @t24) (or @t27 @t26)))) % 0.61/0.88 (assume @p11 (forall @t33 (not (and @t32 @t31)))) % 0.61/0.88 (assume @p12 (forall @t33 (=> (|tptp.'@<_terminates'| @t30 @t29) (or @t32 @t31)))) % 0.61/0.88 (assume @p13 (forall @t37 (not (and @t36 @t35)))) % 0.61/0.88 (assume @p14 (forall @t37 (=> (tptp.nat_terminates @t34) (or @t36 @t35)))) % 0.61/0.88 (assume @p15 (forall @t43 (= (tptp.times_succeeds @t39 @t41 @t1) (or (exists @t9 (and @t42 (tptp.times_succeeds @t4 @t41 @t3) (tptp.plus_succeeds @t41 @t3 @t1))) (and @t40 @t38))))) % 0.61/0.88 (assume @p16 (forall @t43 (= (tptp.times_fails @t39 @t41 @t1) (and (forall @t9 (or @t46 @t45 (tptp.plus_fails @t41 @t3 @t1))) (or @t44 (not @t38)))))) % 0.61/0.88 (assume @p17 @t55) % 0.61/0.88 (assume @p18 (forall @t43 (= (tptp.plus_succeeds @t39 @t41 @t1) (or (exists @t9 (and @t42 @t57 (tptp.plus_succeeds @t4 @t41 @t3))) (and @t40 @t56))))) % 0.61/0.88 (assume @p19 (forall @t43 (= (tptp.plus_fails @t39 @t41 @t1) (and (forall @t9 (or @t46 @t58 (tptp.plus_fails @t4 @t41 @t3))) (or @t44 (not @t56)))))) % 0.61/0.88 (assume @p20 (forall @t43 (= (tptp.plus_terminates @t39 @t41 @t1) (and (forall @t9 (and true (or @t46 (and true (or @t58 (tptp.plus_terminates @t4 @t41 @t3)))))) true @t47)))) % 0.61/0.88 (assume @p21 (forall @t62 (= (|tptp.'@=<_succeeds'| @t39 @t41) (or (exists @t61 (and @t60 @t59 (|tptp.'@=<_succeeds'| @t1 @t4))) @t40)))) % 0.61/0.88 (assume @p22 (forall @t62 (= (|tptp.'@=<_fails'| @t39 @t41) (and (forall @t61 (or @t64 @t63 (|tptp.'@=<_fails'| @t1 @t4))) @t44)))) % 0.61/0.88 (assume @p23 (forall @t62 (= (|tptp.'@=<_terminates'| @t39 @t41) (and (forall @t61 (and true (or @t64 (and true (or @t63 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 0.61/0.88 (assume @p24 (forall @t62 (= (|tptp.'@<_succeeds'| @t39 @t41) (or (exists @t61 (and @t60 @t59 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t66 (and @t40 @t65)))))) % 0.61/0.88 (assume @p25 (forall @t62 (= (|tptp.'@<_fails'| @t39 @t41) (and (forall @t61 (or @t64 @t63 (|tptp.'@<_fails'| @t1 @t4))) (forall @t66 (or @t44 (not @t65))))))) % 0.61/0.88 (assume @p26 (forall @t62 (= (|tptp.'@<_terminates'| @t39 @t41) (and (forall @t61 (and true (or @t64 (and true (or @t63 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t66 (and true @t47)))))) % 0.61/0.88 (assume @p27 (forall @t71 (= (tptp.nat_succeeds @t39) (or (exists @t70 (and @t69 @t67)) @t40)))) % 0.61/0.88 (assume @p28 (forall @t71 (= (tptp.nat_fails @t39) (and (forall @t70 (or @t72 (tptp.nat_fails @t41))) @t44)))) % 0.61/0.88 (assume @p29 (forall @t71 (= (tptp.nat_terminates @t39) (and (forall @t70 (and true (or @t72 (tptp.nat_terminates @t41)))) true)))) % 0.61/0.88 (assume @p30 (forall @t79 (=> @t78 (= (= @t77 @t73) @t76)))) % 0.61/0.88 (assume @p31 (forall @t79 (=> @t82 (= (= (|tptp.'@*'| @t75 @t74) @t73) @t80)))) % 0.61/0.88 (assume @p32 (forall @t83 (=> @t78 (tptp.nat_terminates @t75)))) % 0.61/0.88 (assume @p33 (forall @t83 (=> @t78 @t84))) % 0.61/0.88 (assume @p34 @t86) % 0.61/0.88 (assume @p35 (forall @t79 (=> @t87 @t85))) % 0.61/0.88 (assume @p36 (forall @t79 (=> @t76 @t78))) % 0.61/0.88 (assume @p37 (forall @t79 (=> (and @t76 @t81) @t87))) % 0.61/0.88 (assume @p38 (forall @t79 (=> (and @t76 @t87) @t81))) % 0.61/0.88 (assume @p39 (forall @t79 (=> @t76 @t85))) % 0.61/0.88 (assume @p40 (forall @t79 (=> @t76 @t84))) % 0.61/0.88 (assume @p41 (forall @t79 (=> (and @t76 @t89) @t88))) % 0.61/0.88 (assume @p42 (forall @t79 (=> (and @t76 @t88) @t89))) % 0.61/0.88 (assume @p43 (forall @t90 (=> @t78 (exists (@list @t73) @t76)))) % 0.61/0.88 (assume @p44 (forall (@list @t75 @t74 @t92 @t91) (=> (and (tptp.plus_succeeds @t75 @t74 @t92) (tptp.plus_succeeds @t75 @t74 @t91)) (= @t92 @t91)))) % 0.61/0.88 (assume @p45 (forall (@list @t74) (= (|tptp.'@+'| |tptp.'0'| @t74) @t74))) % 0.61/0.88 (assume @p46 (forall @t90 (=> @t78 (= @t93 (tptp.s @t77))))) % 0.61/0.88 (assume @p47 (forall @t90 (=> @t82 (tptp.nat_succeeds @t77)))) % 0.61/0.88 (assume @p48 (forall @t79 (=> (and @t78 @t81 @t87) (= (|tptp.'@+'| @t77 @t73) (|tptp.'@+'| @t75 (|tptp.'@+'| @t74 @t73)))))) % 0.61/0.88 (assume @p49 (forall @t83 (=> @t78 (= (|tptp.'@+'| @t75 |tptp.'0'|) @t75)))) % 0.61/0.88 (assume @p50 (forall @t90 (=> @t82 (= (|tptp.'@+'| @t75 (tptp.s @t74)) @t93)))) % 0.61/0.88 (assume @p51 (forall @t90 (=> @t82 (= @t77 (|tptp.'@+'| @t74 @t75))))) % 0.61/0.88 (assume @p52 (forall @t79 (=> (and @t78 (= @t77 (|tptp.'@+'| @t75 @t73))) (= @t74 @t73)))) % 0.61/0.88 (assume @p53 (forall @t79 (=> @t80 @t78))) % 0.61/0.88 (assume @p54 (forall @t79 (=> (and @t80 @t81) @t87))) % 0.61/0.88 (assume @p55 (forall @t79 (=> @t80 @t84))) % 0.61/0.88 (assume @p56 (forall @t79 (=> (and @t80 @t89) @t88))) % 0.61/0.88 (assume @p57 @t106) % 0.61/0.88 (assume @p58 @t108) % 0.61/0.88 (assume @p59 true) % 0.61/0.88 (step @p60 :rule evaluate :args ((= false true))) % 0.61/0.88 (step @p61 :rule aci_norm :args ((= (or (or @t110 @t109) @t94) @t111))) % 0.61/0.88 (step @p62 :rule refl :args (@t94)) % 0.61/0.88 (step @p63 :rule bool-and-de-morgan :args (@t78 @t81 true)) % 0.61/0.88 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or (not @t82) @t94))) % 0.61/0.88 (step @p65 :rule trans :premises (@p64 @p61)) % 0.61/0.88 (step @p66 :rule bool-impl-elim :args (@t82 @t94)) % 0.61/0.88 (step @p67 :rule trans :premises (@p66 @p65)) % 0.61/0.88 (step @p68 :rule cong :premises (@p67) :args (@t107)) % 0.61/0.88 (step @p69 :rule cong :premises (@p68) :args (@t108)) % 0.61/0.88 (step @p70 :rule eq_resolve :premises (@p58 @p69)) % 0.61/0.88 (step @p71 :rule alpha_equiv :args ((forall (@list @t114 @t113 @t112) (or (not (tptp.nat_succeeds @t114)) (not (tptp.nat_succeeds @t113)) (tptp.times_terminates @t114 @t113 @t112))) @t115 (@list @t75 @t74 @t73))) % 0.61/0.88 (step @p72 :rule alpha_equiv :args (@t122 (@list @t75 @t117 @t116) @t115)) % 0.61/0.88 (step @p73 :rule trans :premises (@p72 @p71)) % 0.61/0.88 (step @p74 :rule equiv_elim1 :premises (@p73)) % 0.61/0.88 (step @p75 :rule reordering :premises (@p74) :args ((or @t124 @t123))) % 0.61/0.88 (step @p76 :rule chain_m_resolution :premises (@p75 @p70) :args (@t123 @t125 (@list @t124))) % 0.61/0.88 (step @p77 :rule aci_norm :args ((= @t127 @t120))) % 0.61/0.88 (step @p78 :rule cong :premises (@p77) :args (@t128)) % 0.61/0.88 (step @p79 :rule quant-merge-prenex :args ((= (forall @t83 @t130) @t128))) % 0.61/0.88 (step @p80 :rule alpha_equiv :args (@t131 (@list @t117 @t116) @t132)) % 0.61/0.88 (step @p81 :rule refl :args (@t110)) % 0.61/0.88 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t133)) % 0.61/0.88 (step @p83 :rule quant-miniscope-or :args ((= @t130 @t133))) % 0.61/0.88 (step @p84 :rule trans :premises (@p83 @p82)) % 0.61/0.88 (step @p85 :rule symm :premises (@p84)) % 0.61/0.88 (step @p86 :rule cong :premises (@p85) :args ((forall @t83 (or @t110 @t134)))) % 0.61/0.88 (step @p87 :rule trans :premises (@p86 @p79)) % 0.61/0.88 (step @p88 :rule trans :premises (@p87 @p78)) % 0.61/0.88 (step @p89 :rule bool-impl-elim :args (@t78 @t134)) % 0.61/0.88 (step @p90 :rule cong :premises (@p89) :args ((forall @t83 (=> @t78 @t134)))) % 0.61/0.88 (step @p91 :rule trans :premises (@p90 @p88)) % 0.61/0.88 (step @p92 :rule bool-impl-elim :args (@t81 @t94)) % 0.61/0.88 (step @p93 :rule cong :premises (@p92) :args (@t96)) % 0.61/0.88 (step @p94 :rule refl :args (@t78)) % 0.61/0.88 (step @p95 :rule cong :premises (@p94 @p93) :args (@t97)) % 0.61/0.88 (step @p96 :rule cong :premises (@p95) :args (@t98)) % 0.61/0.88 (step @p97 :rule trans :premises (@p96 @p91)) % 0.61/0.88 (step @p98 :rule refl :args (@t137)) % 0.61/0.88 (step @p99 :rule refl :args (@t138)) % 0.61/0.88 (step @p100 :rule refl :args (@t140)) % 0.61/0.88 (step @p101 :rule refl :args (@t142)) % 0.61/0.88 (step @p102 :rule refl :args (@t143)) % 0.61/0.88 (step @p103 :rule eq-symm :args (@t144 @t75)) % 0.61/0.88 (step @p104 :rule cong :premises (@p103) :args (@t145)) % 0.61/0.88 (step @p105 :rule nary_cong :premises (@p104 @p102 @p101) :args (@t146)) % 0.61/0.88 (step @p106 :rule nary_cong :premises (@p105 @p100) :args (@t147)) % 0.61/0.88 (step @p107 :rule nary_cong :premises (@p106 @p99 @p98) :args (@t148)) % 0.61/0.88 (step @p108 :rule aci_norm :args ((= @t150 @t148))) % 0.61/0.88 (step @p109 :rule trans :premises (@p108 @p107)) % 0.61/0.88 (step @p110 :rule cong :premises (@p109) :args (@t152)) % 0.61/0.88 (step @p111 :rule quant-merge-prenex :args ((= (forall @t83 @t153) @t152))) % 0.61/0.88 (step @p112 :rule alpha_equiv :args (@t154 (@list @t136 @t135) @t132)) % 0.61/0.88 (step @p113 :rule quant-unused-vars :args ((= @t156 @t140))) % 0.61/0.88 (step @p114 :rule alpha_equiv :args (@t157 (@list @t141) (@list @t41))) % 0.61/0.88 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t158)) % 0.61/0.88 (step @p116 :rule quant-miniscope-and :args ((= @t159 @t158))) % 0.61/0.88 (step @p117 :rule trans :premises (@p116 @p115)) % 0.61/0.88 (step @p118 :rule nary_cong :premises (@p117 @p112) :args (@t160)) % 0.61/0.88 (step @p119 :rule quant-miniscope-or :args ((= @t153 @t160))) % 0.61/0.88 (step @p120 :rule trans :premises (@p119 @p118)) % 0.61/0.88 (step @p121 :rule symm :premises (@p120)) % 0.61/0.88 (step @p122 :rule cong :premises (@p121) :args ((forall @t83 (or (and @t167 @t140) @t134)))) % 0.61/0.88 (step @p123 :rule trans :premises (@p122 @p111)) % 0.61/0.88 (step @p124 :rule trans :premises (@p123 @p110)) % 0.61/0.88 (step @p125 :rule refl :args (@t134)) % 0.61/0.88 (step @p126 :rule refl :args (@t140)) % 0.61/0.88 (step @p127 :rule bool-double-not-elim :args (@t167)) % 0.61/0.88 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((and (not @t168) @t140))) % 0.61/0.88 (step @p129 :rule bool-or-de-morgan :args (@t168 @t139 false)) % 0.61/0.88 (step @p130 :rule trans :premises (@p129 @p128)) % 0.61/0.88 (step @p131 :rule nary_cong :premises (@p130 @p125) :args ((or (not @t169) @t134))) % 0.61/0.88 (step @p132 :rule bool-impl-elim :args (@t169 @t134)) % 0.61/0.88 (step @p133 :rule trans :premises (@p132 @p131)) % 0.61/0.88 (step @p134 :rule cong :premises (@p133) :args ((forall @t83 (=> @t169 @t134)))) % 0.61/0.88 (step @p135 :rule trans :premises (@p134 @p124)) % 0.61/0.88 (step @p136 :rule eq-symm :args (@t75 |tptp.'0'|)) % 0.61/0.88 (step @p137 :rule aci_norm :args ((= (or @t165 (or @t163 @t162)) @t166))) % 0.61/0.88 (step @p138 :rule bool-and-de-morgan :args (@t67 @t161 true)) % 0.61/0.88 (step @p139 :rule refl :args (@t165)) % 0.61/0.88 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t165 (not (and @t67 @t161))))) % 0.61/0.88 (step @p141 :rule bool-and-de-morgan :args (@t164 @t67 (and @t161))) % 0.61/0.88 (step @p142 :rule trans :premises (@p141 @p140)) % 0.61/0.88 (step @p143 :rule trans :premises (@p142 @p137)) % 0.61/0.88 (step @p144 :rule cong :premises (@p143) :args (@t171)) % 0.61/0.88 (step @p145 :rule cong :premises (@p144) :args (@t172)) % 0.61/0.88 (step @p146 :rule exists-elim :args ((= (exists @t70 @t170) @t172))) % 0.61/0.88 (step @p147 :rule trans :premises (@p146 @p145)) % 0.61/0.88 (step @p148 :rule bool-impl-elim :args (@t81 @t99)) % 0.61/0.88 (step @p149 :rule cong :premises (@p148) :args (@t100)) % 0.61/0.88 (step @p150 :rule refl :args (@t67)) % 0.61/0.88 (step @p151 :rule eq-symm :args (@t75 @t68)) % 0.61/0.88 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149) :args (@t101)) % 0.61/0.88 (step @p153 :rule cong :premises (@p152) :args (@t102)) % 0.61/0.88 (step @p154 :rule trans :premises (@p153 @p147)) % 0.61/0.88 (step @p155 :rule nary_cong :premises (@p154 @p136) :args (@t103)) % 0.61/0.88 (step @p156 :rule cong :premises (@p155 @p93) :args (@t104)) % 0.61/0.88 (step @p157 :rule cong :premises (@p156) :args (@t105)) % 0.61/0.88 (step @p158 :rule trans :premises (@p157 @p135)) % 0.61/0.88 (step @p159 :rule cong :premises (@p158 @p97) :args (@t106)) % 0.61/0.88 (step @p160 :rule eq_resolve :premises (@p57 @p159)) % 0.61/0.88 (step @p161 :rule implies_elim :premises (@p160)) % 0.61/0.88 (step @p162 :rule reordering :premises (@p161) :args ((or @t122 @t174))) % 0.61/0.88 (step @p163 :rule chain_m_resolution :premises (@p162 @p76) :args (@t174 @t125 (@list @t122))) % 0.61/0.88 (step @p164 :rule skolemize :premises (@p163)) % 0.61/0.88 (step @p165 :rule cnf_or_neg :args (@t191 0)) % 0.61/0.88 (step @p166 :rule chain_m_resolution :premises (@p165 @p164) :args ((not @t190) @t125 @t192)) % 0.61/0.88 (step @p167 :rule instantiate :premises (@p1) :args ((@list @t194))) % 0.61/0.88 (step @p168 :rule false_intro :premises (@p167)) % 0.61/0.88 (step @p169 :rule aci_norm :args ((= (and @t195 true) @t195))) % 0.61/0.88 (step @p170 :rule absorb :args ((= @t47 true))) % 0.61/0.88 (step @p171 :rule refl :args (@t48)) % 0.61/0.88 (step @p172 :rule eq-symm :args (@t39 @t7)) % 0.61/0.88 (step @p173 :rule cong :premises (@p172) :args (@t46)) % 0.61/0.88 (step @p174 :rule nary_cong :premises (@p173 @p171) :args (@t49)) % 0.61/0.88 (step @p175 :rule aci_norm :args ((= @t50 @t49))) % 0.61/0.88 (step @p176 :rule trans :premises (@p175 @p174)) % 0.61/0.88 (step @p177 :rule cong :premises (@p176) :args (@t51)) % 0.61/0.88 (step @p178 :rule nary_cong :premises (@p177 @p170) :args (@t196)) % 0.61/0.88 (step @p179 :rule trans :premises (@p178 @p169)) % 0.61/0.88 (step @p180 :rule aci_norm :args ((= @t52 @t196))) % 0.61/0.88 (step @p181 :rule trans :premises (@p180 @p179)) % 0.61/0.88 (step @p182 :rule refl :args (@t53)) % 0.61/0.88 (step @p183 :rule cong :premises (@p182 @p181) :args (@t54)) % 0.61/0.88 (step @p184 :rule cong :premises (@p183) :args (@t55)) % 0.61/0.88 (step @p185 :rule eq_resolve :premises (@p17 @p184)) % 0.61/0.88 (step @p186 :rule instantiate :premises (@p185) :args ((@list @t177 @t176 @t175))) % 0.61/0.88 (step @p187 :rule cnf_or_neg :args (@t191 2)) % 0.61/0.88 (step @p188 :rule chain_m_resolution :premises (@p187 @p164) :args ((not @t178) @t125 @t192)) % 0.61/0.88 (step @p189 :rule cnf_equiv_pos2 :args (@t197)) % 0.61/0.88 (step @p190 :rule reordering :premises (@p189) :args ((or @t178 @t198 (not @t197)))) % 0.61/0.88 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p186) :args (@t198 @t199 (@list @t178 @t197))) % 0.61/0.88 (step @p192 :rule refl :args (@t209)) % 0.61/0.88 (step @p193 :rule bool-double-not-elim :args (@t193)) % 0.61/0.88 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or (not @t198) @t209))) % 0.61/0.88 (step @p195 :rule refl :args (@t204)) % 0.61/0.88 (step @p196 :rule eq-symm :args (@t205 @t177)) % 0.61/0.88 (step @p197 :rule cong :premises (@p196) :args (@t210)) % 0.61/0.88 (step @p198 :rule nary_cong :premises (@p197 @p195) :args (@t211)) % 0.61/0.88 (step @p199 :rule cong :premises (@p198) :args (@t212)) % 0.61/0.88 (step @p200 :rule refl :args (@t198)) % 0.61/0.88 (step @p201 :rule cong :premises (@p200 @p199) :args ((=> @t198 @t212))) % 0.61/0.88 (assume-push @p284 @t198) % 0.61/0.88 (step @p203 :rule skolemize :premises (@p191)) % 0.61/0.88 (step-pop @p285 :rule scope :premises (@p203)) % 0.61/0.88 (step @p204 :rule process_scope :premises (@p285) :args (@t212)) % 0.61/0.88 (step @p206 :rule eq_resolve :premises (@p204 @p201)) % 0.61/0.88 (step @p207 :rule implies_elim :premises (@p206)) % 0.61/0.88 (step @p208 :rule eq_resolve :premises (@p207 @p194)) % 0.61/0.88 (step @p209 :rule chain_m_resolution :premises (@p208 @p191) :args (@t209 @t125 (@list @t193))) % 0.61/0.88 (step @p210 :rule bool-double-not-elim :args (@t206)) % 0.61/0.88 (step @p211 :rule refl :args (@t208)) % 0.61/0.88 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t208 (not @t207)))) % 0.61/0.88 (step @p213 :rule cnf_or_neg :args (@t208 0)) % 0.61/0.88 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 0.61/0.88 (step @p215 :rule reordering :premises (@p214) :args ((or @t206 @t208))) % 0.61/0.88 (step @p216 :rule chain_m_resolution :premises (@p215 @p209) :args (@t206 @t125 @t213)) % 0.61/0.88 (step @p217 :rule refl :args (|tptp.'0'|)) % 0.61/0.88 (step @p218 :rule cong :premises (@p217 @p216) :args (@t181)) % 0.61/0.88 (step @p219 :rule trans :premises (@p218 @p168)) % 0.61/0.88 (step @p220 :rule false_elim :premises (@p219)) % 0.61/0.88 (step @p221 :rule bool-double-not-elim :args (@t181)) % 0.61/0.88 (step @p222 :rule refl :args (@t214)) % 0.61/0.88 (step @p223 :rule refl :args (@t190)) % 0.61/0.88 (step @p224 :rule nary_cong :premises (@p223 @p222 @p221) :args ((or @t190 @t214 (not @t182)))) % 0.61/0.88 (step @p225 :rule cnf_and_neg :args (@t190)) % 0.61/0.88 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 0.61/0.88 (step @p227 :rule reordering :premises (@p226) :args ((or @t181 @t190 @t214))) % 0.61/0.88 (step @p228 :rule chain_m_resolution :premises (@p227 @p220 @p166) :args (@t214 (@list true true) (@list @t181 @t190))) % 0.61/0.88 (step @p229 :rule bool-double-not-elim :args (@t184)) % 0.61/0.88 (step @p230 :rule refl :args (@t189)) % 0.61/0.88 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or @t189 (not @t185)))) % 0.61/0.88 (step @p232 :rule cnf_or_neg :args (@t189 2)) % 0.61/0.88 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.61/0.88 (step @p234 :rule reordering :premises (@p233) :args ((or @t184 @t189))) % 0.61/0.88 (step @p235 :rule chain_m_resolution :premises (@p234 @p228) :args (@t184 @t125 @t215)) % 0.61/0.88 (step @p236 :rule instantiate :premises (@p235) :args ((@list @t176 @t200))) % 0.61/0.88 (step @p237 :rule bool-double-not-elim :args (@t179)) % 0.61/0.88 (step @p238 :rule refl :args (@t191)) % 0.61/0.88 (step @p239 :rule nary_cong :premises (@p238 @p237) :args ((or @t191 (not @t180)))) % 0.61/0.88 (step @p240 :rule cnf_or_neg :args (@t191 1)) % 0.61/0.88 (step @p241 :rule eq_resolve :premises (@p240 @p239)) % 0.61/0.88 (step @p242 :rule reordering :premises (@p241) :args ((or @t179 @t191))) % 0.61/0.88 (step @p243 :rule chain_m_resolution :premises (@p242 @p164) :args (@t179 @t125 @t192)) % 0.61/0.88 (step @p244 :rule cnf_or_pos :args (@t217)) % 0.61/0.88 (step @p245 :rule reordering :premises (@p244) :args ((or @t180 @t216 (not @t217)))) % 0.61/0.88 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p236) :args (@t216 @t218 (@list @t179 @t217))) % 0.61/0.88 (step @p247 :rule true_intro :premises (@p246)) % 0.61/0.88 (step @p248 :rule refl :args (@t200)) % 0.61/0.88 (step @p249 :rule refl :args (@t176)) % 0.61/0.88 (step @p250 :rule bool-impl-elim :args (@t8 @t5)) % 0.61/0.88 (step @p251 :rule cong :premises (@p250) :args (@t10)) % 0.61/0.88 (step @p252 :rule eq_resolve :premises (@p2 @p251)) % 0.61/0.88 (step @p253 :rule instantiate :premises (@p252) :args ((@list @t183 @t194))) % 0.61/0.88 (step @p254 :rule bool-double-not-elim :args (@t187)) % 0.61/0.88 (step @p255 :rule nary_cong :premises (@p230 @p254) :args ((or @t189 (not @t188)))) % 0.61/0.88 (step @p256 :rule cnf_or_neg :args (@t189 0)) % 0.61/0.88 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 0.61/0.88 (step @p258 :rule reordering :premises (@p257) :args ((or @t187 @t189))) % 0.61/0.88 (step @p259 :rule chain_m_resolution :premises (@p258 @p228) :args (@t187 @t125 @t215)) % 0.61/0.88 (step @p260 :rule symm :premises (@p259)) % 0.61/0.88 (step @p261 :rule trans :premises (@p260 @p216)) % 0.61/0.88 (step @p262 :rule cnf_or_pos :args (@t222)) % 0.61/0.88 (step @p263 :rule reordering :premises (@p262) :args ((or @t221 @t219 (not @t222)))) % 0.61/0.88 (step @p264 :rule chain_m_resolution :premises (@p263 @p261 @p253) :args (@t219 @t218 (@list @t220 @t222))) % 0.61/0.88 (step @p265 :rule symm :premises (@p264)) % 0.61/0.88 (step @p266 :rule cong :premises (@p265 @p249 @p248) :args (@t203)) % 0.61/0.88 (step @p267 :rule bool-impl-elim :args (@t78 @t85)) % 0.61/0.88 (step @p268 :rule cong :premises (@p267) :args (@t86)) % 0.61/0.88 (step @p269 :rule eq_resolve :premises (@p34 @p268)) % 0.61/0.88 (step @p270 :rule instantiate :premises (@p269) :args ((@list @t176 @t200 @t175))) % 0.61/0.88 (step @p271 :rule cnf_or_pos :args (@t223)) % 0.61/0.88 (step @p272 :rule reordering :premises (@p271) :args ((or @t180 @t201 (not @t223)))) % 0.61/0.88 (step @p273 :rule chain_m_resolution :premises (@p272 @p243 @p270) :args (@t201 @t218 (@list @t179 @t223))) % 0.61/0.88 (step @p274 :rule cnf_or_neg :args (@t202 1)) % 0.61/0.88 (step @p275 :rule chain_m_resolution :premises (@p274 @p273) :args (@t202 (@list false) (@list @t201))) % 0.61/0.88 (step @p276 :rule cnf_or_neg :args (@t208 1)) % 0.61/0.88 (step @p277 :rule chain_m_resolution :premises (@p276 @p209) :args ((not @t204) @t125 @t213)) % 0.61/0.88 (step @p278 :rule cnf_and_neg :args (@t204)) % 0.61/0.88 (step @p279 :rule chain_m_resolution :premises (@p278 @p277 @p275) :args ((not @t203) @t199 (@list @t204 @t202))) % 0.61/0.88 (step @p280 :rule false_intro :premises (@p279)) % 0.61/0.88 (step @p281 :rule symm :premises (@p280)) % 0.61/0.88 (step @p282 :rule trans :premises (@p281 @p266 @p247)) % 0.61/0.88 (step @p283 false :rule eq_resolve :premises (@p282 @p60)) % 0.61/0.88 ) % 0.61/0.88 % SZS output end Proof % 0.61/0.88 % cvc5 exiting %------------------------------------------------------------------------------