%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX041+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 : n028.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 09:07:02 AM UTC 2026 % Result : Theorem 33.87s 34.40s % Output : Proof 33.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : SWX041+1 : TPTP v9.2.1. Released v9.1.0. % 0.09/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n028.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 22:54:20 EDT 2026 % 0.17/0.36 % CPUTime : % 0.29/0.54 %----Proving TF0_NAR, FOF, or CNF % 33.87/34.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.87/34.40 --- Run --no-e-matching --full-saturate-quant at 6... % 33.87/34.40 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.87/34.40 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.87/34.40 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.87/34.40 % SZS status Theorem % 33.87/34.40 % SZS output start Proof % 33.87/34.40 ( % 33.87/34.40 (declare-sort $$unsorted 0) % 33.87/34.40 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 33.87/34.40 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 33.87/34.40 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 33.87/34.40 (declare-const tptp.gr (-> $$unsorted Bool)) % 33.87/34.40 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.87/34.40 (declare-const |tptp.'0'| $$unsorted) % 33.87/34.40 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.40 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.87/34.40 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 33.87/34.40 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 33.87/34.40 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.87/34.40 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.87/34.40 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 33.87/34.40 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.87/34.40 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.87/34.40 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.40 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 33.87/34.40 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 33.87/34.40 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 33.87/34.40 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 33.87/34.40 (define @t1 () (@var "Xx3" $$unsorted)) % 33.87/34.40 (define @t2 () (tptp.s @t1)) % 33.87/34.40 (define @t3 () (@var "Xx5" $$unsorted)) % 33.87/34.40 (define @t4 () (@var "Xx4" $$unsorted)) % 33.87/34.40 (define @t5 () (= @t4 @t3)) % 33.87/34.40 (define @t6 () (tptp.s @t3)) % 33.87/34.40 (define @t7 () (tptp.s @t4)) % 33.87/34.40 (define @t8 () (= @t7 @t6)) % 33.87/34.40 (define @t9 () (@list @t4 @t3)) % 33.87/34.40 (define @t10 () (forall @t9 (=> @t8 @t5))) % 33.87/34.40 (define @t11 () (@var "Xx6" $$unsorted)) % 33.87/34.40 (define @t12 () (@var "Xx9" $$unsorted)) % 33.87/34.40 (define @t13 () (@var "Xx8" $$unsorted)) % 33.87/34.40 (define @t14 () (@var "Xx7" $$unsorted)) % 33.87/34.40 (define @t15 () (tptp.times_fails @t14 @t13 @t12)) % 33.87/34.40 (define @t16 () (tptp.times_succeeds @t14 @t13 @t12)) % 33.87/34.40 (define @t17 () (@list @t14 @t13 @t12)) % 33.87/34.40 (define @t18 () (@var "Xx12" $$unsorted)) % 33.87/34.40 (define @t19 () (@var "Xx11" $$unsorted)) % 33.87/34.40 (define @t20 () (@var "Xx10" $$unsorted)) % 33.87/34.40 (define @t21 () (tptp.plus_fails @t20 @t19 @t18)) % 33.87/34.40 (define @t22 () (tptp.plus_succeeds @t20 @t19 @t18)) % 33.87/34.40 (define @t23 () (@list @t20 @t19 @t18)) % 33.87/34.40 (define @t24 () (@var "Xx14" $$unsorted)) % 33.87/34.40 (define @t25 () (@var "Xx13" $$unsorted)) % 33.87/34.40 (define @t26 () (|tptp.'@=<_fails'| @t25 @t24)) % 33.87/34.40 (define @t27 () (|tptp.'@=<_succeeds'| @t25 @t24)) % 33.87/34.40 (define @t28 () (@list @t25 @t24)) % 33.87/34.40 (define @t29 () (@var "Xx16" $$unsorted)) % 33.87/34.40 (define @t30 () (@var "Xx15" $$unsorted)) % 33.87/34.40 (define @t31 () (|tptp.'@<_fails'| @t30 @t29)) % 33.87/34.40 (define @t32 () (|tptp.'@<_succeeds'| @t30 @t29)) % 33.87/34.40 (define @t33 () (@list @t30 @t29)) % 33.87/34.40 (define @t34 () (@var "Xx17" $$unsorted)) % 33.87/34.40 (define @t35 () (tptp.nat_fails @t34)) % 33.87/34.40 (define @t36 () (tptp.nat_succeeds @t34)) % 33.87/34.40 (define @t37 () (@list @t34)) % 33.87/34.40 (define @t38 () (= @t1 |tptp.'0'|)) % 33.87/34.40 (define @t39 () (@var "Xx1" $$unsorted)) % 33.87/34.40 (define @t40 () (= @t39 |tptp.'0'|)) % 33.87/34.40 (define @t41 () (@var "Xx2" $$unsorted)) % 33.87/34.40 (define @t42 () (= @t39 @t7)) % 33.87/34.40 (define @t43 () (@list @t39 @t41 @t1)) % 33.87/34.40 (define @t44 () (not @t40)) % 33.87/34.40 (define @t45 () (tptp.times_fails @t4 @t41 @t3)) % 33.87/34.40 (define @t46 () (not @t42)) % 33.87/34.40 (define @t47 () (or @t44 true)) % 33.87/34.40 (define @t48 () (= @t1 @t41)) % 33.87/34.40 (define @t49 () (= @t1 @t6)) % 33.87/34.40 (define @t50 () (not @t49)) % 33.87/34.40 (define @t51 () (|tptp.'@=<_succeeds'| @t1 @t4)) % 33.87/34.40 (define @t52 () (= @t41 @t7)) % 33.87/34.40 (define @t53 () (= @t39 @t2)) % 33.87/34.40 (define @t54 () (and @t53 @t52 @t51)) % 33.87/34.40 (define @t55 () (@list @t1 @t4)) % 33.87/34.40 (define @t56 () (exists @t55 @t54)) % 33.87/34.40 (define @t57 () (or @t56 @t40)) % 33.87/34.40 (define @t58 () (|tptp.'@=<_succeeds'| @t39 @t41)) % 33.87/34.40 (define @t59 () (= @t58 @t57)) % 33.87/34.40 (define @t60 () (@list @t39 @t41)) % 33.87/34.40 (define @t61 () (forall @t60 @t59)) % 33.87/34.40 (define @t62 () (not @t52)) % 33.87/34.40 (define @t63 () (not @t53)) % 33.87/34.40 (define @t64 () (= @t41 @t6)) % 33.87/34.40 (define @t65 () (and @t40 @t64)) % 33.87/34.40 (define @t66 () (@list @t3)) % 33.87/34.40 (define @t67 () (exists @t66 @t65)) % 33.87/34.40 (define @t68 () (|tptp.'@<_succeeds'| @t1 @t4)) % 33.87/34.40 (define @t69 () (and @t53 @t52 @t68)) % 33.87/34.40 (define @t70 () (exists @t55 @t69)) % 33.87/34.40 (define @t71 () (or @t70 @t67)) % 33.87/34.40 (define @t72 () (|tptp.'@<_succeeds'| @t39 @t41)) % 33.87/34.40 (define @t73 () (= @t72 @t71)) % 33.87/34.40 (define @t74 () (forall @t60 @t73)) % 33.87/34.40 (define @t75 () (= @t39 (tptp.s @t41))) % 33.87/34.40 (define @t76 () (@list @t41)) % 33.87/34.40 (define @t77 () (@list @t39)) % 33.87/34.40 (define @t78 () (not @t75)) % 33.87/34.40 (define @t79 () (@var "Xz" $$unsorted)) % 33.87/34.40 (define @t80 () (@var "Xy" $$unsorted)) % 33.87/34.40 (define @t81 () (@var "Xx" $$unsorted)) % 33.87/34.40 (define @t82 () (tptp.plus_succeeds @t81 @t80 @t79)) % 33.87/34.40 (define @t83 () (|tptp.'@+'| @t81 @t80)) % 33.87/34.40 (define @t84 () (tptp.nat_succeeds @t81)) % 33.87/34.40 (define @t85 () (@list @t81 @t80 @t79)) % 33.87/34.40 (define @t86 () (tptp.times_succeeds @t81 @t80 @t79)) % 33.87/34.40 (define @t87 () (|tptp.'@*'| @t81 @t80)) % 33.87/34.40 (define @t88 () (tptp.nat_succeeds @t80)) % 33.87/34.40 (define @t89 () (and @t84 @t88)) % 33.87/34.40 (define @t90 () (@list @t81)) % 33.87/34.40 (define @t91 () (tptp.gr @t81)) % 33.87/34.40 (define @t92 () (tptp.plus_terminates @t81 @t80 @t79)) % 33.87/34.40 (define @t93 () (tptp.nat_succeeds @t79)) % 33.87/34.40 (define @t94 () (tptp.gr @t79)) % 33.87/34.40 (define @t95 () (tptp.gr @t80)) % 33.87/34.40 (define @t96 () (@list @t79)) % 33.87/34.40 (define @t97 () (@list @t81 @t80)) % 33.87/34.40 (define @t98 () (@var "Xz2" $$unsorted)) % 33.87/34.40 (define @t99 () (@var "Xz1" $$unsorted)) % 33.87/34.40 (define @t100 () (= @t99 @t98)) % 33.87/34.40 (define @t101 () (@list @t81 @t80 @t99 @t98)) % 33.87/34.40 (define @t102 () (@list @t80)) % 33.87/34.40 (define @t103 () (tptp.s @t81)) % 33.87/34.40 (define @t104 () (|tptp.'@+'| @t103 @t80)) % 33.87/34.40 (define @t105 () (and @t84 @t88 @t93)) % 33.87/34.40 (define @t106 () (tptp.s @t80)) % 33.87/34.40 (define @t107 () (|tptp.'@+'| @t81 @t79)) % 33.87/34.40 (define @t108 () (|tptp.'@*'| @t80 @t79)) % 33.87/34.40 (define @t109 () (|tptp.'@*'| @t80 @t81)) % 33.87/34.40 (define @t110 () (tptp.s |tptp.'0'|)) % 33.87/34.40 (define @t111 () (|tptp.'@<_terminates'| @t81 @t80)) % 33.87/34.40 (define @t112 () (|tptp.'@<_succeeds'| @t81 @t80)) % 33.87/34.40 (define @t113 () (tptp.s @t79)) % 33.87/34.40 (define @t114 () (|tptp.'@<_succeeds'| @t81 @t79)) % 33.87/34.40 (define @t115 () (|tptp.'@<_succeeds'| @t81 @t106)) % 33.87/34.40 (define @t116 () (|tptp.'@<_succeeds'| @t80 @t79)) % 33.87/34.40 (define @t117 () (= @t81 @t80)) % 33.87/34.40 (define @t118 () (or @t112 @t117)) % 33.87/34.40 (define @t119 () (= @t81 |tptp.'0'|)) % 33.87/34.40 (define @t120 () (|tptp.'@=<_terminates'| @t81 @t80)) % 33.87/34.40 (define @t121 () (|tptp.'@=<_succeeds'| @t81 @t80)) % 33.87/34.40 (define @t122 () (|tptp.'@=<_succeeds'| @t80 @t81)) % 33.87/34.40 (define @t123 () (|tptp.'@=<_succeeds'| @t80 @t79)) % 33.87/34.40 (define @t124 () (forall @t96 (=> @t123 @t114))) % 33.87/34.40 (define @t125 () (=> @t112 @t124)) % 33.87/34.40 (define @t126 () (forall @t97 @t125)) % 33.87/34.40 (define @t127 () (and @t119 (= @t80 @t6))) % 33.87/34.40 (define @t128 () (exists @t66 @t127)) % 33.87/34.40 (define @t129 () (|tptp.'@<_succeeds'| @t1 @t79)) % 33.87/34.40 (define @t130 () (|tptp.'@=<_succeeds'| @t4 @t79)) % 33.87/34.40 (define @t131 () (forall @t96 (=> @t130 @t129))) % 33.87/34.40 (define @t132 () (and (= @t81 @t2) (= @t80 @t7) @t68 @t131)) % 33.87/34.40 (define @t133 () (exists @t55 @t132)) % 33.87/34.40 (define @t134 () (or @t133 @t128)) % 33.87/34.40 (define @t135 () (=> @t134 @t124)) % 33.87/34.40 (define @t136 () (forall @t97 @t135)) % 33.87/34.40 (define @t137 () (=> @t136 @t126)) % 33.87/34.40 (define @t138 () (and @t112 @t123)) % 33.87/34.40 (define @t139 () (forall @t85 (=> @t138 @t114))) % 33.87/34.40 (define @t140 () (not @t139)) % 33.87/34.40 (define @t141 () (= @t6 @t41)) % 33.87/34.40 (define @t142 () (not @t141)) % 33.87/34.40 (define @t143 () (forall @t66 @t142)) % 33.87/34.40 (define @t144 () (not @t143)) % 33.87/34.40 (define @t145 () (= |tptp.'0'| @t39)) % 33.87/34.40 (define @t146 () (not @t145)) % 33.87/34.40 (define @t147 () (not @t68)) % 33.87/34.40 (define @t148 () (= @t7 @t41)) % 33.87/34.40 (define @t149 () (not @t148)) % 33.87/34.40 (define @t150 () (= @t2 @t39)) % 33.87/34.40 (define @t151 () (not @t150)) % 33.87/34.40 (define @t152 () (or @t151 @t149 @t147)) % 33.87/34.40 (define @t153 () (not (forall @t55 @t152))) % 33.87/34.40 (define @t154 () (or @t146 @t143)) % 33.87/34.40 (define @t155 () (or @t153 (not @t154))) % 33.87/34.40 (define @t156 () (= @t72 @t155)) % 33.87/34.40 (define @t157 () (and @t145 @t141)) % 33.87/34.40 (define @t158 () (forall @t66 (not @t157))) % 33.87/34.40 (define @t159 () (not @t158)) % 33.87/34.40 (define @t160 () (and @t150 @t148 @t68)) % 33.87/34.40 (define @t161 () (forall @t55 (not @t160))) % 33.87/34.40 (define @t162 () (not @t161)) % 33.87/34.40 (define @t163 () (@var "BOUND_VARIABLE_8578" $$unsorted)) % 33.87/34.40 (define @t164 () (|tptp.'@<_succeeds'| @t81 @t163)) % 33.87/34.40 (define @t165 () (not (|tptp.'@=<_succeeds'| @t80 @t163))) % 33.87/34.40 (define @t166 () (@var "BOUND_VARIABLE_8571" $$unsorted)) % 33.87/34.40 (define @t167 () (tptp.s @t166)) % 33.87/34.40 (define @t168 () (= |tptp.'0'| @t81)) % 33.87/34.40 (define @t169 () (not @t168)) % 33.87/34.40 (define @t170 () (@var "BOUND_VARIABLE_8552" $$unsorted)) % 33.87/34.40 (define @t171 () (@var "BOUND_VARIABLE_8554" $$unsorted)) % 33.87/34.40 (define @t172 () (not (forall @t96 (or (not (|tptp.'@=<_succeeds'| @t171 @t79)) (|tptp.'@<_succeeds'| @t170 @t79))))) % 33.87/34.40 (define @t173 () (not (|tptp.'@<_succeeds'| @t170 @t171))) % 33.87/34.40 (define @t174 () (tptp.s @t171)) % 33.87/34.40 (define @t175 () (tptp.s @t170)) % 33.87/34.40 (define @t176 () (@list @t81 @t80 @t170 @t171 @t166 @t163)) % 33.87/34.40 (define @t177 () (forall @t176 (or (and (or (not (= @t81 @t175)) (not (= @t80 @t174)) @t173 @t172) (or @t169 (not (= @t80 @t167)))) @t165 @t164))) % 33.87/34.40 (define @t178 () (@quantifiers_skolemize @t177 5)) % 33.87/34.40 (define @t179 () (@quantifiers_skolemize @t177 0)) % 33.87/34.40 (define @t180 () (not @t123)) % 33.87/34.40 (define @t181 () (not @t112)) % 33.87/34.40 (define @t182 () (or @t181 @t180 @t114)) % 33.87/34.40 (define @t183 () (@var "BOUND_VARIABLE_9440" $$unsorted)) % 33.87/34.40 (define @t184 () (@var "BOUND_VARIABLE_9441" $$unsorted)) % 33.87/34.40 (define @t185 () (@var "BOUND_VARIABLE_9439" $$unsorted)) % 33.87/34.40 (define @t186 () (@list @t185 @t183 @t184)) % 33.87/34.40 (define @t187 () (@var "BOUND_VARIABLE_8603" $$unsorted)) % 33.87/34.40 (define @t188 () (|tptp.'@<_succeeds'| @t81 @t187)) % 33.87/34.40 (define @t189 () (not (|tptp.'@=<_succeeds'| @t80 @t187))) % 33.87/34.40 (define @t190 () (or @t181 @t189 @t188)) % 33.87/34.40 (define @t191 () (@list @t81 @t80 @t187)) % 33.87/34.40 (define @t192 () (forall @t191 @t190)) % 33.87/34.40 (define @t193 () (not @t192)) % 33.87/34.40 (define @t194 () (forall @t85 @t182)) % 33.87/34.40 (define @t195 () (@list true)) % 33.87/34.40 (define @t196 () (or @t189 @t188)) % 33.87/34.40 (define @t197 () (or @t181 @t196)) % 33.87/34.40 (define @t198 () (forall @t191 @t197)) % 33.87/34.40 (define @t199 () (@list @t187)) % 33.87/34.40 (define @t200 () (forall @t199 @t197)) % 33.87/34.40 (define @t201 () (forall @t199 @t196)) % 33.87/34.40 (define @t202 () (@list @t79)) % 33.87/34.40 (define @t203 () (or @t181 @t201)) % 33.87/34.40 (define @t204 () (forall @t96 (or @t180 @t114))) % 33.87/34.40 (define @t205 () (not (= @t167 @t80))) % 33.87/34.40 (define @t206 () (or @t169 @t205)) % 33.87/34.40 (define @t207 () (not (= @t174 @t80))) % 33.87/34.40 (define @t208 () (not (= @t175 @t81))) % 33.87/34.40 (define @t209 () (or @t208 @t207 @t173 @t172)) % 33.87/34.40 (define @t210 () (and @t209 @t206)) % 33.87/34.40 (define @t211 () (or @t210 @t165 @t164)) % 33.87/34.40 (define @t212 () (or @t165 @t164)) % 33.87/34.40 (define @t213 () (or @t210 @t212)) % 33.87/34.40 (define @t214 () (forall @t176 @t213)) % 33.87/34.40 (define @t215 () (forall (@list @t170 @t171 @t166 @t163) @t213)) % 33.87/34.40 (define @t216 () (forall (@list @t163) @t212)) % 33.87/34.40 (define @t217 () (@list @t166)) % 33.87/34.40 (define @t218 () (forall @t217 @t205)) % 33.87/34.40 (define @t219 () (or @t169 @t218)) % 33.87/34.40 (define @t220 () (forall @t217 @t206)) % 33.87/34.40 (define @t221 () (@list @t170 @t171 @t166)) % 33.87/34.40 (define @t222 () (forall @t221 @t206)) % 33.87/34.40 (define @t223 () (forall (@list @t170 @t171) @t209)) % 33.87/34.40 (define @t224 () (forall @t221 @t209)) % 33.87/34.40 (define @t225 () (and @t224 @t222)) % 33.87/34.40 (define @t226 () (forall @t221 @t210)) % 33.87/34.40 (define @t227 () (or @t226 @t216)) % 33.87/34.40 (define @t228 () (= @t6 @t80)) % 33.87/34.40 (define @t229 () (not @t228)) % 33.87/34.40 (define @t230 () (or @t169 (forall @t66 @t229))) % 33.87/34.40 (define @t231 () (forall @t96 (or (not @t130) @t129))) % 33.87/34.40 (define @t232 () (not @t231)) % 33.87/34.40 (define @t233 () (= @t7 @t80)) % 33.87/34.40 (define @t234 () (not @t233)) % 33.87/34.40 (define @t235 () (= @t2 @t81)) % 33.87/34.40 (define @t236 () (not @t235)) % 33.87/34.40 (define @t237 () (or @t236 @t234 @t147 @t232)) % 33.87/34.40 (define @t238 () (forall @t55 @t237)) % 33.87/34.40 (define @t239 () (not @t230)) % 33.87/34.40 (define @t240 () (not @t238)) % 33.87/34.40 (define @t241 () (or @t240 @t239)) % 33.87/34.40 (define @t242 () (and @t168 @t228)) % 33.87/34.40 (define @t243 () (forall @t66 (not @t242))) % 33.87/34.40 (define @t244 () (not @t243)) % 33.87/34.40 (define @t245 () (and @t235 @t233 @t68 @t231)) % 33.87/34.40 (define @t246 () (forall @t55 (not @t245))) % 33.87/34.40 (define @t247 () (not @t246)) % 33.87/34.40 (define @t248 () (not @t177)) % 33.87/34.40 (define @t249 () (|tptp.'@<_succeeds'| @t179 @t178)) % 33.87/34.40 (define @t250 () (@quantifiers_skolemize @t177 1)) % 33.87/34.40 (define @t251 () (|tptp.'@=<_succeeds'| @t250 @t178)) % 33.87/34.40 (define @t252 () (not @t251)) % 33.87/34.40 (define @t253 () (@quantifiers_skolemize @t177 4)) % 33.87/34.40 (define @t254 () (tptp.s @t253)) % 33.87/34.40 (define @t255 () (= @t250 @t254)) % 33.87/34.40 (define @t256 () (not @t255)) % 33.87/34.40 (define @t257 () (= |tptp.'0'| @t179)) % 33.87/34.40 (define @t258 () (not @t257)) % 33.87/34.40 (define @t259 () (or @t258 @t256)) % 33.87/34.40 (define @t260 () (@quantifiers_skolemize @t177 2)) % 33.87/34.40 (define @t261 () (@quantifiers_skolemize @t177 3)) % 33.87/34.40 (define @t262 () (forall @t96 (or (not (|tptp.'@=<_succeeds'| @t261 @t79)) (|tptp.'@<_succeeds'| @t260 @t79)))) % 33.87/34.40 (define @t263 () (not @t262)) % 33.87/34.40 (define @t264 () (tptp.s @t261)) % 33.87/34.40 (define @t265 () (= @t250 @t264)) % 33.87/34.40 (define @t266 () (not @t265)) % 33.87/34.40 (define @t267 () (tptp.s @t260)) % 33.87/34.40 (define @t268 () (= @t179 @t267)) % 33.87/34.40 (define @t269 () (not @t268)) % 33.87/34.40 (define @t270 () (or @t269 @t266 (not (|tptp.'@<_succeeds'| @t260 @t261)) @t263)) % 33.87/34.40 (define @t271 () (and @t270 @t259)) % 33.87/34.40 (define @t272 () (or @t271 @t252 @t249)) % 33.87/34.40 (define @t273 () (@list @t272)) % 33.87/34.40 (define @t274 () (forall @t66 (not (= @t6 @t178)))) % 33.87/34.40 (define @t275 () (not @t274)) % 33.87/34.40 (define @t276 () (and @t257 @t275)) % 33.87/34.40 (define @t277 () (not (= @t7 @t178))) % 33.87/34.40 (define @t278 () (forall @t55 (or (not (= @t2 @t179)) @t277 @t147))) % 33.87/34.40 (define @t279 () (not @t278)) % 33.87/34.40 (define @t280 () (or @t279 @t276)) % 33.87/34.40 (define @t281 () (= @t249 @t280)) % 33.87/34.40 (define @t282 () (not @t280)) % 33.87/34.40 (define @t283 () (@list true false)) % 33.87/34.40 (define @t284 () (@list @t280)) % 33.87/34.40 (define @t285 () (= |tptp.'0'| @t267)) % 33.87/34.40 (define @t286 () (not @t285)) % 33.87/34.40 (define @t287 () (and @t268 @t286)) % 33.87/34.40 (define @t288 () (not @t51)) % 33.87/34.40 (define @t289 () (forall @t55 (or (not (= @t2 @t250)) @t277 @t288))) % 33.87/34.40 (define @t290 () (@quantifiers_skolemize @t289 1)) % 33.87/34.40 (define @t291 () (@list @t290)) % 33.87/34.40 (define @t292 () (|tptp.'@<_succeeds'| @t260 @t290)) % 33.87/34.40 (define @t293 () (|tptp.'@=<_succeeds'| @t261 @t290)) % 33.87/34.40 (define @t294 () (not @t293)) % 33.87/34.40 (define @t295 () (or @t294 @t292)) % 33.87/34.40 (define @t296 () (= |tptp.'0'| @t250)) % 33.87/34.40 (define @t297 () (not @t296)) % 33.87/34.40 (define @t298 () (= |tptp.'0'| @t264)) % 33.87/34.40 (define @t299 () (not @t298)) % 33.87/34.40 (define @t300 () (and @t265 @t299)) % 33.87/34.40 (define @t301 () (and @t150 @t148 @t51)) % 33.87/34.40 (define @t302 () (forall @t55 (not @t301))) % 33.87/34.40 (define @t303 () (not @t302)) % 33.87/34.40 (define @t304 () (not @t289)) % 33.87/34.40 (define @t305 () (or @t304 @t296)) % 33.87/34.40 (define @t306 () (= @t251 @t305)) % 33.87/34.40 (define @t307 () (@list false false)) % 33.87/34.40 (define @t308 () (@quantifiers_skolemize @t289 0)) % 33.87/34.40 (define @t309 () (|tptp.'@=<_succeeds'| @t308 @t290)) % 33.87/34.40 (define @t310 () (not @t309)) % 33.87/34.40 (define @t311 () (tptp.s @t290)) % 33.87/34.40 (define @t312 () (= @t178 @t311)) % 33.87/34.40 (define @t313 () (not @t312)) % 33.87/34.40 (define @t314 () (tptp.s @t308)) % 33.87/34.40 (define @t315 () (= @t250 @t314)) % 33.87/34.40 (define @t316 () (not @t315)) % 33.87/34.40 (define @t317 () (or @t316 @t313 @t310)) % 33.87/34.40 (define @t318 () (not @t317)) % 33.87/34.40 (define @t319 () (not (= @t311 @t178))) % 33.87/34.40 (define @t320 () (not (= @t314 @t250))) % 33.87/34.40 (define @t321 () (or @t320 @t319 @t310)) % 33.87/34.40 (define @t322 () (not @t321)) % 33.87/34.40 (define @t323 () (not @t292)) % 33.87/34.40 (define @t324 () (not (= @t267 @t179))) % 33.87/34.40 (define @t325 () (or @t324 @t319 @t323)) % 33.87/34.40 (define @t326 () (or @t269 @t313 @t323)) % 33.87/34.40 (define @t327 () (= @t264 @t314)) % 33.87/34.40 (define @t328 () (and @t265 @t315)) % 33.87/34.40 (define @t329 () (= @t261 @t308)) % 33.87/34.40 (define @t330 () (not @t327)) % 33.87/34.40 (define @t331 () (or @t330 @t329)) % 33.87/34.40 (define @t332 () (not @t329)) % 33.87/34.40 (define @t333 () (and @t294 @t329 @t309)) % 33.87/34.40 (define @t334 () (@list @t259)) % 33.87/34.40 (define @t335 () (@list false true)) % 33.87/34.40 (define @t336 () (= |tptp.'0'| @t254)) % 33.87/34.40 (define @t337 () (not @t336)) % 33.87/34.40 (define @t338 () (and @t255 @t337)) % 33.87/34.40 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 33.87/34.40 (assume @p2 @t10) % 33.87/34.40 (assume @p3 (tptp.gr |tptp.'0'|)) % 33.87/34.40 (assume @p4 (forall (@list @t11) (= (tptp.gr @t11) (tptp.gr (tptp.s @t11))))) % 33.87/34.40 (assume @p5 (forall @t17 (not (and @t16 @t15)))) % 33.87/34.40 (assume @p6 (forall @t17 (=> (tptp.times_terminates @t14 @t13 @t12) (or @t16 @t15)))) % 33.87/34.40 (assume @p7 (forall @t23 (not (and @t22 @t21)))) % 33.87/34.40 (assume @p8 (forall @t23 (=> (tptp.plus_terminates @t20 @t19 @t18) (or @t22 @t21)))) % 33.87/34.40 (assume @p9 (forall @t28 (not (and @t27 @t26)))) % 33.87/34.40 (assume @p10 (forall @t28 (=> (|tptp.'@=<_terminates'| @t25 @t24) (or @t27 @t26)))) % 33.87/34.40 (assume @p11 (forall @t33 (not (and @t32 @t31)))) % 33.87/34.40 (assume @p12 (forall @t33 (=> (|tptp.'@<_terminates'| @t30 @t29) (or @t32 @t31)))) % 33.87/34.40 (assume @p13 (forall @t37 (not (and @t36 @t35)))) % 33.87/34.40 (assume @p14 (forall @t37 (=> (tptp.nat_terminates @t34) (or @t36 @t35)))) % 33.87/34.40 (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))))) % 33.87/34.40 (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)))))) % 33.87/34.40 (assume @p17 (forall @t43 (= (tptp.times_terminates @t39 @t41 @t1) (and (forall @t9 (and true (or @t46 (and (tptp.times_terminates @t4 @t41 @t3) (or @t45 (tptp.plus_terminates @t41 @t3 @t1)))))) true @t47)))) % 33.87/34.40 (assume @p18 (forall @t43 (= (tptp.plus_succeeds @t39 @t41 @t1) (or (exists @t9 (and @t42 @t49 (tptp.plus_succeeds @t4 @t41 @t3))) (and @t40 @t48))))) % 33.87/34.40 (assume @p19 (forall @t43 (= (tptp.plus_fails @t39 @t41 @t1) (and (forall @t9 (or @t46 @t50 (tptp.plus_fails @t4 @t41 @t3))) (or @t44 (not @t48)))))) % 33.87/34.40 (assume @p20 (forall @t43 (= (tptp.plus_terminates @t39 @t41 @t1) (and (forall @t9 (and true (or @t46 (and true (or @t50 (tptp.plus_terminates @t4 @t41 @t3)))))) true @t47)))) % 33.87/34.40 (assume @p21 @t61) % 33.87/34.40 (assume @p22 (forall @t60 (= (|tptp.'@=<_fails'| @t39 @t41) (and (forall @t55 (or @t63 @t62 (|tptp.'@=<_fails'| @t1 @t4))) @t44)))) % 33.87/34.40 (assume @p23 (forall @t60 (= (|tptp.'@=<_terminates'| @t39 @t41) (and (forall @t55 (and true (or @t63 (and true (or @t62 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 33.87/34.40 (assume @p24 @t74) % 33.87/34.40 (assume @p25 (forall @t60 (= (|tptp.'@<_fails'| @t39 @t41) (and (forall @t55 (or @t63 @t62 (|tptp.'@<_fails'| @t1 @t4))) (forall @t66 (or @t44 (not @t64))))))) % 33.87/34.40 (assume @p26 (forall @t60 (= (|tptp.'@<_terminates'| @t39 @t41) (and (forall @t55 (and true (or @t63 (and true (or @t62 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t66 (and true @t47)))))) % 33.87/34.40 (assume @p27 (forall @t77 (= (tptp.nat_succeeds @t39) (or (exists @t76 (and @t75 (tptp.nat_succeeds @t41))) @t40)))) % 33.87/34.40 (assume @p28 (forall @t77 (= (tptp.nat_fails @t39) (and (forall @t76 (or @t78 (tptp.nat_fails @t41))) @t44)))) % 33.87/34.40 (assume @p29 (forall @t77 (= (tptp.nat_terminates @t39) (and (forall @t76 (and true (or @t78 (tptp.nat_terminates @t41)))) true)))) % 33.87/34.40 (assume @p30 (forall @t85 (=> @t84 (= (= @t83 @t79) @t82)))) % 33.87/34.40 (assume @p31 (forall @t85 (=> @t89 (= (= @t87 @t79) @t86)))) % 33.87/34.40 (assume @p32 (forall @t90 (=> @t84 (tptp.nat_terminates @t81)))) % 33.87/34.40 (assume @p33 (forall @t90 (=> @t84 @t91))) % 33.87/34.40 (assume @p34 (forall @t85 (=> @t84 @t92))) % 33.87/34.40 (assume @p35 (forall @t85 (=> @t93 @t92))) % 33.87/34.40 (assume @p36 (forall @t85 (=> @t82 @t84))) % 33.87/34.40 (assume @p37 (forall @t85 (=> (and @t82 @t88) @t93))) % 33.87/34.40 (assume @p38 (forall @t85 (=> (and @t82 @t93) @t88))) % 33.87/34.40 (assume @p39 (forall @t85 (=> @t82 @t92))) % 33.87/34.40 (assume @p40 (forall @t85 (=> @t82 @t91))) % 33.87/34.40 (assume @p41 (forall @t85 (=> (and @t82 @t95) @t94))) % 33.87/34.40 (assume @p42 (forall @t85 (=> (and @t82 @t94) @t95))) % 33.87/34.40 (assume @p43 (forall @t97 (=> @t84 (exists @t96 @t82)))) % 33.87/34.40 (assume @p44 (forall @t101 (=> (and (tptp.plus_succeeds @t81 @t80 @t99) (tptp.plus_succeeds @t81 @t80 @t98)) @t100))) % 33.87/34.40 (assume @p45 (forall @t102 (= (|tptp.'@+'| |tptp.'0'| @t80) @t80))) % 33.87/34.40 (assume @p46 (forall @t97 (=> @t84 (= @t104 (tptp.s @t83))))) % 33.87/34.40 (assume @p47 (forall @t97 (=> @t89 (tptp.nat_succeeds @t83)))) % 33.87/34.40 (assume @p48 (forall @t85 (=> @t105 (= (|tptp.'@+'| @t83 @t79) (|tptp.'@+'| @t81 (|tptp.'@+'| @t80 @t79)))))) % 33.87/34.40 (assume @p49 (forall @t90 (=> @t84 (= (|tptp.'@+'| @t81 |tptp.'0'|) @t81)))) % 33.87/34.40 (assume @p50 (forall @t97 (=> @t89 (= (|tptp.'@+'| @t81 @t106) @t104)))) % 33.87/34.40 (assume @p51 (forall @t97 (=> @t89 (= @t83 (|tptp.'@+'| @t80 @t81))))) % 33.87/34.40 (assume @p52 (forall @t85 (=> (and @t84 (= @t83 @t107)) (= @t80 @t79)))) % 33.87/34.40 (assume @p53 (forall @t85 (=> @t86 @t84))) % 33.87/34.40 (assume @p54 (forall @t85 (=> (and @t86 @t88) @t93))) % 33.87/34.40 (assume @p55 (forall @t85 (=> @t86 @t91))) % 33.87/34.40 (assume @p56 (forall @t85 (=> (and @t86 @t95) @t94))) % 33.87/34.40 (assume @p57 (forall @t85 (=> @t89 (tptp.times_terminates @t81 @t80 @t79)))) % 33.87/34.40 (assume @p58 (forall @t97 (=> @t89 (exists @t96 @t86)))) % 33.87/34.40 (assume @p59 (forall @t101 (=> (and (tptp.times_succeeds @t81 @t80 @t99) (tptp.times_succeeds @t81 @t80 @t98)) @t100))) % 33.87/34.40 (assume @p60 (forall @t102 (=> @t88 (= (|tptp.'@*'| |tptp.'0'| @t80) |tptp.'0'|)))) % 33.87/34.40 (assume @p61 (forall @t97 (=> @t89 (= (|tptp.'@*'| @t103 @t80) (|tptp.'@+'| @t80 @t87))))) % 33.87/34.40 (assume @p62 (forall @t97 (=> @t89 (tptp.nat_succeeds @t87)))) % 33.87/34.40 (assume @p63 (forall @t85 (=> @t105 (= (|tptp.'@*'| @t83 @t79) (|tptp.'@+'| (|tptp.'@*'| @t81 @t79) @t108))))) % 33.87/34.40 (assume @p64 (forall @t85 (=> @t105 (= (|tptp.'@*'| @t87 @t79) (|tptp.'@*'| @t81 @t108))))) % 33.87/34.40 (assume @p65 (forall @t90 (=> @t84 (= (|tptp.'@*'| @t81 |tptp.'0'|) |tptp.'0'|)))) % 33.87/34.40 (assume @p66 (forall (@list @t80 @t81) (=> (and @t88 @t84) (= (|tptp.'@+'| @t109 @t80) (|tptp.'@*'| @t80 @t103))))) % 33.87/34.40 (assume @p67 (forall @t97 (=> @t89 (= @t87 @t109)))) % 33.87/34.40 (assume @p68 (forall @t90 (=> @t84 (= (|tptp.'@*'| @t110 @t81) @t81)))) % 33.87/34.40 (assume @p69 (forall @t90 (=> @t84 (= (|tptp.'@*'| @t81 @t110) @t81)))) % 33.87/34.40 (assume @p70 (forall @t85 (=> @t105 (= (|tptp.'@*'| @t79 @t83) (|tptp.'@+'| (|tptp.'@*'| @t79 @t81) (|tptp.'@*'| @t79 @t80)))))) % 33.87/34.40 (assume @p71 (forall @t97 (=> @t84 @t111))) % 33.87/34.40 (assume @p72 (forall @t97 (=> @t88 @t111))) % 33.87/34.40 (assume @p73 (forall @t97 (=> @t112 @t84))) % 33.87/34.40 (assume @p74 (forall @t97 (=> @t112 (exists @t96 (= @t80 @t113))))) % 33.87/34.40 (assume @p75 (forall @t85 (=> (and @t112 (|tptp.'@<_succeeds'| @t80 @t113)) @t114))) % 33.87/34.40 (assume @p76 (forall @t97 (=> @t112 @t115))) % 33.87/34.40 (assume @p77 (forall @t85 (=> (and @t112 @t116) @t114))) % 33.87/34.40 (assume @p78 (forall @t90 (=> @t84 (|tptp.'@<_fails'| @t81 @t81)))) % 33.87/34.40 (assume @p79 (forall @t90 (=> @t84 (not (|tptp.'@<_succeeds'| @t81 @t81))))) % 33.87/34.40 (assume @p80 (forall @t90 (=> @t84 (|tptp.'@<_succeeds'| @t81 @t103)))) % 33.87/34.40 (assume @p81 (forall @t97 (=> (and @t88 @t115) @t118))) % 33.87/34.40 (assume @p82 (forall @t97 (=> @t89 (or @t112 @t117 (|tptp.'@<_succeeds'| @t80 @t81))))) % 33.87/34.40 (assume @p83 (forall @t90 (=> (and @t84 (not @t119)) (|tptp.'@<_succeeds'| |tptp.'0'| @t81)))) % 33.87/34.40 (assume @p84 (forall @t97 (=> @t84 @t120))) % 33.87/34.40 (assume @p85 (forall @t97 (=> @t88 @t120))) % 33.87/34.40 (assume @p86 (forall @t97 (=> @t121 @t84))) % 33.87/34.40 (assume @p87 (forall @t97 (=> @t121 (exists @t96 (tptp.plus_succeeds @t81 @t79 @t80))))) % 33.87/34.40 (assume @p88 (forall @t97 (=> @t121 (exists @t96 (= @t107 @t80))))) % 33.87/34.40 (assume @p89 (forall @t97 (=> @t112 (exists @t96 (tptp.plus_succeeds @t81 @t113 @t80))))) % 33.87/34.40 (assume @p90 (forall @t97 (=> @t112 (exists @t96 (= (|tptp.'@+'| @t81 @t113) @t80))))) % 33.87/34.40 (assume @p91 (forall @t97 (=> @t112 @t121))) % 33.87/34.40 (assume @p92 (forall @t90 (=> @t84 (|tptp.'@=<_succeeds'| @t81 @t81)))) % 33.87/34.40 (assume @p93 (forall @t97 (=> @t89 (or @t121 @t122)))) % 33.87/34.40 (assume @p94 (forall @t97 (=> @t89 (or @t112 @t122)))) % 33.87/34.40 (assume @p95 (forall @t97 (=> (and @t84 @t88 (|tptp.'@=<_fails'| @t81 @t80)) @t122))) % 33.87/34.40 (assume @p96 (forall @t97 (=> (and @t121 @t88) @t118))) % 33.87/34.40 (assume @p97 (forall @t85 (=> (and @t121 @t116) @t114))) % 33.87/34.40 (assume @p98 @t137) % 33.87/34.40 (assume @p99 @t140) % 33.87/34.40 (assume @p100 true) % 33.87/34.40 (step @p101 :rule refl :args (@t144)) % 33.87/34.40 (step @p102 :rule bool-double-not-elim :args (@t145)) % 33.87/34.40 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((and (not @t146) @t144))) % 33.87/34.40 (step @p104 :rule bool-or-de-morgan :args (@t146 @t143 false)) % 33.87/34.40 (step @p105 :rule trans :premises (@p104 @p103)) % 33.87/34.40 (step @p106 :rule refl :args (@t153)) % 33.87/34.40 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t155)) % 33.87/34.40 (step @p108 :rule refl :args (@t72)) % 33.87/34.40 (step @p109 :rule cong :premises (@p108 @p107) :args (@t156)) % 33.87/34.40 (step @p110 :rule cong :premises (@p109) :args ((forall @t60 @t156))) % 33.87/34.40 (step @p111 :rule quant-miniscope-or :args ((= (forall @t66 (or @t146 @t142)) @t154))) % 33.87/34.40 (step @p112 :rule bool-and-de-morgan :args (@t145 @t141 true)) % 33.87/34.40 (step @p113 :rule cong :premises (@p112) :args (@t158)) % 33.87/34.40 (step @p114 :rule trans :premises (@p113 @p111)) % 33.87/34.40 (step @p115 :rule cong :premises (@p114) :args (@t159)) % 33.87/34.40 (step @p116 :rule exists-elim :args ((= (exists @t66 @t157) @t159))) % 33.87/34.40 (step @p117 :rule trans :premises (@p116 @p115)) % 33.87/34.40 (step @p118 :rule eq-symm :args (@t41 @t6)) % 33.87/34.40 (step @p119 :rule eq-symm :args (@t39 |tptp.'0'|)) % 33.87/34.40 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t65)) % 33.87/34.40 (step @p121 :rule cong :premises (@p120) :args (@t67)) % 33.87/34.40 (step @p122 :rule trans :premises (@p121 @p117)) % 33.87/34.40 (step @p123 :rule aci_norm :args ((= (or @t151 (or @t149 @t147)) @t152))) % 33.87/34.40 (step @p124 :rule bool-and-de-morgan :args (@t148 @t68 true)) % 33.87/34.40 (step @p125 :rule refl :args (@t151)) % 33.87/34.40 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t151 (not (and @t148 @t68))))) % 33.87/34.40 (step @p127 :rule bool-and-de-morgan :args (@t150 @t148 (and @t68))) % 33.87/34.40 (step @p128 :rule trans :premises (@p127 @p126)) % 33.87/34.40 (step @p129 :rule trans :premises (@p128 @p123)) % 33.87/34.40 (step @p130 :rule cong :premises (@p129) :args (@t161)) % 33.87/34.40 (step @p131 :rule cong :premises (@p130) :args (@t162)) % 33.87/34.40 (step @p132 :rule exists-elim :args ((= (exists @t55 @t160) @t162))) % 33.87/34.40 (step @p133 :rule trans :premises (@p132 @p131)) % 33.87/34.40 (step @p134 :rule refl :args (@t68)) % 33.87/34.40 (step @p135 :rule eq-symm :args (@t41 @t7)) % 33.87/34.40 (step @p136 :rule eq-symm :args (@t39 @t2)) % 33.87/34.40 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args (@t69)) % 33.87/34.40 (step @p138 :rule cong :premises (@p137) :args (@t70)) % 33.87/34.40 (step @p139 :rule trans :premises (@p138 @p133)) % 33.87/34.40 (step @p140 :rule nary_cong :premises (@p139 @p122) :args (@t71)) % 33.87/34.40 (step @p141 :rule refl :args (@t72)) % 33.87/34.40 (step @p142 :rule cong :premises (@p141 @p140) :args (@t73)) % 33.87/34.40 (step @p143 :rule cong :premises (@p142) :args (@t74)) % 33.87/34.40 (step @p144 :rule trans :premises (@p143 @p110)) % 33.87/34.40 (step @p145 :rule eq_resolve :premises (@p24 @p144)) % 33.87/34.40 (step @p146 :rule instantiate :premises (@p145) :args ((@list @t179 @t178))) % 33.87/34.40 (step @p147 :rule aci_norm :args ((= (or (or @t181 @t180) @t114) @t182))) % 33.87/34.40 (step @p148 :rule refl :args (@t114)) % 33.87/34.40 (step @p149 :rule bool-and-de-morgan :args (@t112 @t123 true)) % 33.87/34.40 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t138) @t114))) % 33.87/34.40 (step @p151 :rule trans :premises (@p150 @p147)) % 33.87/34.40 (step @p152 :rule bool-impl-elim :args (@t138 @t114)) % 33.87/34.40 (step @p153 :rule trans :premises (@p152 @p151)) % 33.87/34.40 (step @p154 :rule cong :premises (@p153) :args (@t139)) % 33.87/34.40 (step @p155 :rule cong :premises (@p154) :args (@t140)) % 33.87/34.40 (step @p156 :rule eq_resolve :premises (@p99 @p155)) % 33.87/34.40 (step @p157 :rule alpha_equiv :args ((forall (@list @t184 @t185 @t183) (or (not (|tptp.'@<_succeeds'| @t184 @t185)) (not (|tptp.'@=<_succeeds'| @t185 @t183)) (|tptp.'@<_succeeds'| @t184 @t183))) @t186 (@list @t80 @t79 @t81))) % 33.87/34.40 (step @p158 :rule alpha_equiv :args (@t192 (@list @t80 @t187 @t81) @t186)) % 33.87/34.40 (step @p159 :rule trans :premises (@p158 @p157)) % 33.87/34.40 (step @p160 :rule equiv_elim1 :premises (@p159)) % 33.87/34.40 (step @p161 :rule reordering :premises (@p160) :args ((or @t194 @t193))) % 33.87/34.40 (step @p162 :rule chain_m_resolution :premises (@p161 @p156) :args (@t193 @t195 (@list @t194))) % 33.87/34.40 (step @p163 :rule aci_norm :args ((= @t197 @t190))) % 33.87/34.40 (step @p164 :rule cong :premises (@p163) :args (@t198)) % 33.87/34.40 (step @p165 :rule quant-merge-prenex :args ((= (forall @t97 @t200) @t198))) % 33.87/34.40 (step @p166 :rule alpha_equiv :args (@t201 (@list @t187) @t202)) % 33.87/34.40 (step @p167 :rule refl :args (@t181)) % 33.87/34.40 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t203)) % 33.87/34.40 (step @p169 :rule quant-miniscope-or :args ((= @t200 @t203))) % 33.87/34.40 (step @p170 :rule trans :premises (@p169 @p168)) % 33.87/34.40 (step @p171 :rule symm :premises (@p170)) % 33.87/34.40 (step @p172 :rule cong :premises (@p171) :args ((forall @t97 (or @t181 @t204)))) % 33.87/34.40 (step @p173 :rule trans :premises (@p172 @p165)) % 33.87/34.40 (step @p174 :rule trans :premises (@p173 @p164)) % 33.87/34.40 (step @p175 :rule bool-impl-elim :args (@t112 @t204)) % 33.87/34.40 (step @p176 :rule cong :premises (@p175) :args ((forall @t97 (=> @t112 @t204)))) % 33.87/34.40 (step @p177 :rule trans :premises (@p176 @p174)) % 33.87/34.40 (step @p178 :rule bool-impl-elim :args (@t123 @t114)) % 33.87/34.40 (step @p179 :rule cong :premises (@p178) :args (@t124)) % 33.87/34.40 (step @p180 :rule refl :args (@t112)) % 33.87/34.40 (step @p181 :rule cong :premises (@p180 @p179) :args (@t125)) % 33.87/34.40 (step @p182 :rule cong :premises (@p181) :args (@t126)) % 33.87/34.40 (step @p183 :rule trans :premises (@p182 @p177)) % 33.87/34.40 (step @p184 :rule refl :args (@t164)) % 33.87/34.40 (step @p185 :rule refl :args (@t165)) % 33.87/34.40 (step @p186 :rule eq-symm :args (@t167 @t80)) % 33.87/34.40 (step @p187 :rule cong :premises (@p186) :args (@t205)) % 33.87/34.40 (step @p188 :rule refl :args (@t169)) % 33.87/34.40 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t206)) % 33.87/34.40 (step @p190 :rule refl :args (@t172)) % 33.87/34.40 (step @p191 :rule refl :args (@t173)) % 33.87/34.40 (step @p192 :rule eq-symm :args (@t174 @t80)) % 33.87/34.40 (step @p193 :rule cong :premises (@p192) :args (@t207)) % 33.87/34.40 (step @p194 :rule eq-symm :args (@t175 @t81)) % 33.87/34.40 (step @p195 :rule cong :premises (@p194) :args (@t208)) % 33.87/34.40 (step @p196 :rule nary_cong :premises (@p195 @p193 @p191 @p190) :args (@t209)) % 33.87/34.40 (step @p197 :rule nary_cong :premises (@p196 @p189) :args (@t210)) % 33.87/34.40 (step @p198 :rule nary_cong :premises (@p197 @p185 @p184) :args (@t211)) % 33.87/34.40 (step @p199 :rule aci_norm :args ((= @t213 @t211))) % 33.87/34.40 (step @p200 :rule trans :premises (@p199 @p198)) % 33.87/34.40 (step @p201 :rule cong :premises (@p200) :args (@t214)) % 33.87/34.40 (step @p202 :rule quant-merge-prenex :args ((= (forall @t97 @t215) @t214))) % 33.87/34.40 (step @p203 :rule alpha_equiv :args (@t216 (@list @t163) @t202)) % 33.87/34.40 (step @p204 :rule alpha_equiv :args (@t218 (@list @t166) (@list @t3))) % 33.87/34.40 (step @p205 :rule refl :args (@t169)) % 33.87/34.40 (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t219)) % 33.87/34.40 (step @p207 :rule quant-miniscope-or :args ((= @t220 @t219))) % 33.87/34.40 (step @p208 :rule quant-unused-vars :args ((= @t222 @t220))) % 33.87/34.40 (step @p209 :rule trans :premises (@p208 @p207)) % 33.87/34.40 (step @p210 :rule trans :premises (@p209 @p206)) % 33.87/34.40 (step @p211 :rule alpha_equiv :args (@t223 (@list @t170 @t171) (@list @t1 @t4))) % 33.87/34.40 (step @p212 :rule quant-unused-vars :args ((= @t224 @t223))) % 33.87/34.40 (step @p213 :rule trans :premises (@p212 @p211)) % 33.87/34.40 (step @p214 :rule nary_cong :premises (@p213 @p210) :args (@t225)) % 33.87/34.40 (step @p215 :rule quant-miniscope-and :args ((= @t226 @t225))) % 33.87/34.40 (step @p216 :rule trans :premises (@p215 @p214)) % 33.87/34.40 (step @p217 :rule nary_cong :premises (@p216 @p203) :args (@t227)) % 33.87/34.40 (step @p218 :rule quant-miniscope-or :args ((= @t215 @t227))) % 33.87/34.40 (step @p219 :rule trans :premises (@p218 @p217)) % 33.87/34.40 (step @p220 :rule symm :premises (@p219)) % 33.87/34.40 (step @p221 :rule cong :premises (@p220) :args ((forall @t97 (or (and @t238 @t230) @t204)))) % 33.87/34.40 (step @p222 :rule trans :premises (@p221 @p202)) % 33.87/34.40 (step @p223 :rule trans :premises (@p222 @p201)) % 33.87/34.40 (step @p224 :rule refl :args (@t204)) % 33.87/34.40 (step @p225 :rule bool-double-not-elim :args (@t230)) % 33.87/34.40 (step @p226 :rule bool-double-not-elim :args (@t238)) % 33.87/34.40 (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((and (not @t240) (not @t239)))) % 33.87/34.40 (step @p228 :rule bool-or-de-morgan :args (@t240 @t239 false)) % 33.87/34.40 (step @p229 :rule trans :premises (@p228 @p227)) % 33.87/34.40 (step @p230 :rule nary_cong :premises (@p229 @p224) :args ((or (not @t241) @t204))) % 33.87/34.40 (step @p231 :rule bool-impl-elim :args (@t241 @t204)) % 33.87/34.40 (step @p232 :rule trans :premises (@p231 @p230)) % 33.87/34.40 (step @p233 :rule cong :premises (@p232) :args ((forall @t97 (=> @t241 @t204)))) % 33.87/34.40 (step @p234 :rule trans :premises (@p233 @p223)) % 33.87/34.40 (step @p235 :rule quant-miniscope-or :args ((= (forall @t66 (or @t169 @t229)) @t230))) % 33.87/34.40 (step @p236 :rule bool-and-de-morgan :args (@t168 @t228 true)) % 33.87/34.40 (step @p237 :rule cong :premises (@p236) :args (@t243)) % 33.87/34.40 (step @p238 :rule trans :premises (@p237 @p235)) % 33.87/34.40 (step @p239 :rule cong :premises (@p238) :args (@t244)) % 33.87/34.40 (step @p240 :rule exists-elim :args ((= (exists @t66 @t242) @t244))) % 33.87/34.40 (step @p241 :rule trans :premises (@p240 @p239)) % 33.87/34.40 (step @p242 :rule eq-symm :args (@t80 @t6)) % 33.87/34.40 (step @p243 :rule eq-symm :args (@t81 |tptp.'0'|)) % 33.87/34.40 (step @p244 :rule nary_cong :premises (@p243 @p242) :args (@t127)) % 33.87/34.40 (step @p245 :rule cong :premises (@p244) :args (@t128)) % 33.87/34.40 (step @p246 :rule trans :premises (@p245 @p241)) % 33.87/34.40 (step @p247 :rule aci_norm :args ((= (or @t236 (or @t234 (or @t147 @t232))) @t237))) % 33.87/34.40 (step @p248 :rule bool-and-de-morgan :args (@t68 @t231 true)) % 33.87/34.40 (step @p249 :rule refl :args (@t234)) % 33.87/34.40 (step @p250 :rule nary_cong :premises (@p249 @p248) :args ((or @t234 (not (and @t68 @t231))))) % 33.87/34.40 (step @p251 :rule bool-and-de-morgan :args (@t233 @t68 (and @t231))) % 33.87/34.40 (step @p252 :rule trans :premises (@p251 @p250)) % 33.87/34.40 (step @p253 :rule refl :args (@t236)) % 33.87/34.40 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or @t236 (not (and @t233 @t68 @t231))))) % 33.87/34.40 (step @p255 :rule bool-and-de-morgan :args (@t235 @t233 (and @t68 @t231))) % 33.87/34.40 (step @p256 :rule trans :premises (@p255 @p254)) % 33.87/34.40 (step @p257 :rule trans :premises (@p256 @p247)) % 33.87/34.40 (step @p258 :rule cong :premises (@p257) :args (@t246)) % 33.87/34.40 (step @p259 :rule cong :premises (@p258) :args (@t247)) % 33.87/34.40 (step @p260 :rule exists-elim :args ((= (exists @t55 @t245) @t247))) % 33.87/34.40 (step @p261 :rule trans :premises (@p260 @p259)) % 33.87/34.40 (step @p262 :rule bool-impl-elim :args (@t130 @t129)) % 33.87/34.40 (step @p263 :rule cong :premises (@p262) :args (@t131)) % 33.87/34.40 (step @p264 :rule eq-symm :args (@t80 @t7)) % 33.87/34.40 (step @p265 :rule eq-symm :args (@t81 @t2)) % 33.87/34.40 (step @p266 :rule nary_cong :premises (@p265 @p264 @p134 @p263) :args (@t132)) % 33.87/34.40 (step @p267 :rule cong :premises (@p266) :args (@t133)) % 33.87/34.40 (step @p268 :rule trans :premises (@p267 @p261)) % 33.87/34.40 (step @p269 :rule nary_cong :premises (@p268 @p246) :args (@t134)) % 33.87/34.40 (step @p270 :rule cong :premises (@p269 @p179) :args (@t135)) % 33.87/34.40 (step @p271 :rule cong :premises (@p270) :args (@t136)) % 33.87/34.40 (step @p272 :rule trans :premises (@p271 @p234)) % 33.87/34.40 (step @p273 :rule cong :premises (@p272 @p183) :args (@t137)) % 33.87/34.40 (step @p274 :rule eq_resolve :premises (@p98 @p273)) % 33.87/34.40 (step @p275 :rule implies_elim :premises (@p274)) % 33.87/34.40 (step @p276 :rule reordering :premises (@p275) :args ((or @t192 @t248))) % 33.87/34.40 (step @p277 :rule chain_m_resolution :premises (@p276 @p162) :args (@t248 @t195 (@list @t192))) % 33.87/34.40 (step @p278 :rule skolemize :premises (@p277)) % 33.87/34.40 (step @p279 :rule cnf_or_neg :args (@t272 2)) % 33.87/34.40 (step @p280 :rule chain_m_resolution :premises (@p279 @p278) :args ((not @t249) @t195 @t273)) % 33.87/34.40 (step @p281 :rule cnf_equiv_pos2 :args (@t281)) % 33.87/34.40 (step @p282 :rule reordering :premises (@p281) :args ((or @t249 @t282 (not @t281)))) % 33.87/34.40 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p146) :args (@t282 @t283 (@list @t249 @t281))) % 33.87/34.40 (step @p284 :rule cnf_or_neg :args (@t280 1)) % 33.87/34.40 (step @p285 :rule chain_m_resolution :premises (@p284 @p283) :args ((not @t276) @t195 @t284)) % 33.87/34.41 (step @p286 :rule instantiate :premises (@p1) :args ((@list @t260))) % 33.87/34.41 (step @p287 :rule refl :args (@t258)) % 33.87/34.41 (step @p288 :rule bool-double-not-elim :args (@t285)) % 33.87/34.41 (step @p289 :rule refl :args (@t269)) % 33.87/34.41 (step @p290 :rule nary_cong :premises (@p289 @p288 @p287) :args ((or @t269 (not @t286) @t258))) % 33.87/34.41 (assume-push @p568 @t268) % 33.87/34.41 (assume-push @p569 @t286) % 33.87/34.41 (assume-push @p570 @t286) % 33.87/34.41 (assume-push @p571 @t268) % 33.87/34.41 (step @p295 :rule false_intro :premises (@p286)) % 33.87/34.41 (step @p296 :rule refl :args (|tptp.'0'|)) % 33.87/34.41 (step @p297 :rule cong :premises (@p296 @p568) :args (@t257)) % 33.87/34.41 (step @p298 :rule trans :premises (@p297 @p295)) % 33.87/34.41 (step @p299 :rule false_elim :premises (@p298)) % 33.87/34.41 (step-pop @p572 :rule scope :premises (@p299)) % 33.87/34.41 (step-pop @p573 :rule scope :premises (@p572)) % 33.87/34.41 (step @p300 :rule process_scope :premises (@p573) :args (@t258)) % 33.87/34.41 (step @p303 :rule and_intro :premises (@p286 @p568)) % 33.87/34.41 (step @p304 :rule modus_ponens :premises (@p303 @p300)) % 33.87/34.41 (step-pop @p574 :rule scope :premises (@p304)) % 33.87/34.41 (step-pop @p575 :rule scope :premises (@p574)) % 33.87/34.41 (step @p305 :rule process_scope :premises (@p575) :args (@t258)) % 33.87/34.41 (step @p308 :rule implies_elim :premises (@p305)) % 33.87/34.41 (step @p309 :rule cnf_and_neg :args (@t287)) % 33.87/34.41 (step @p310 :rule resolution :premises (@p309 @p308) :args (true @t287)) % 33.87/34.41 (step @p311 :rule eq_resolve :premises (@p310 @p290)) % 33.87/34.41 (step @p312 :rule reordering :premises (@p311) :args ((or @t269 @t258 @t285))) % 33.87/34.41 (step @p313 :rule bool-double-not-elim :args (@t257)) % 33.87/34.41 (step @p314 :rule refl :args (@t259)) % 33.87/34.41 (step @p315 :rule nary_cong :premises (@p314 @p313) :args ((or @t259 (not @t258)))) % 33.87/34.41 (step @p316 :rule cnf_or_neg :args (@t259 0)) % 33.87/34.41 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 33.87/34.41 (step @p318 :rule reordering :premises (@p317) :args ((or @t257 @t259))) % 33.87/34.41 (step @p319 :rule cnf_or_neg :args (@t272 0)) % 33.87/34.41 (step @p320 :rule chain_m_resolution :premises (@p319 @p278) :args ((not @t271) @t195 @t273)) % 33.87/34.41 (step @p321 :rule cnf_and_neg :args (@t271)) % 33.87/34.41 (step @p322 :rule bool-double-not-elim :args (@t265)) % 33.87/34.41 (step @p323 :rule refl :args (@t270)) % 33.87/34.41 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((or @t270 (not @t266)))) % 33.87/34.41 (step @p325 :rule cnf_or_neg :args (@t270 1)) % 33.87/34.41 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 33.87/34.41 (step @p327 :rule reordering :premises (@p326) :args ((or @t265 @t270))) % 33.87/34.41 (step @p328 :rule bool-double-not-elim :args (@t262)) % 33.87/34.41 (step @p329 :rule nary_cong :premises (@p323 @p328) :args ((or @t270 (not @t263)))) % 33.87/34.41 (step @p330 :rule cnf_or_neg :args (@t270 3)) % 33.87/34.41 (step @p331 :rule eq_resolve :premises (@p330 @p329)) % 33.87/34.41 (step @p332 :rule reordering :premises (@p331) :args ((or @t262 @t270))) % 33.87/34.41 (assume-push @p576 @t262) % 33.87/34.41 (step @p334 :rule instantiate :premises (@p576) :args (@t291)) % 33.87/34.41 (step-pop @p577 :rule scope :premises (@p334)) % 33.87/34.41 (step @p335 :rule process_scope :premises (@p577) :args (@t295)) % 33.87/34.41 (step @p337 :rule implies_elim :premises (@p335)) % 33.87/34.41 (step @p338 :rule instantiate :premises (@p1) :args ((@list @t261))) % 33.87/34.41 (step @p339 :rule refl :args (@t297)) % 33.87/34.41 (step @p340 :rule bool-double-not-elim :args (@t298)) % 33.87/34.41 (step @p341 :rule refl :args (@t266)) % 33.87/34.41 (step @p342 :rule nary_cong :premises (@p341 @p340 @p339) :args ((or @t266 (not @t299) @t297))) % 33.87/34.41 (assume-push @p578 @t265) % 33.87/34.41 (assume-push @p579 @t299) % 33.87/34.41 (assume-push @p580 @t299) % 33.87/34.41 (assume-push @p581 @t265) % 33.87/34.41 (step @p347 :rule false_intro :premises (@p338)) % 33.87/34.41 (step @p296 :rule refl :args (|tptp.'0'|)) % 33.87/34.41 (step @p348 :rule cong :premises (@p296 @p578) :args (@t296)) % 33.87/34.41 (step @p349 :rule trans :premises (@p348 @p347)) % 33.87/34.41 (step @p350 :rule false_elim :premises (@p349)) % 33.87/34.41 (step-pop @p582 :rule scope :premises (@p350)) % 33.87/34.41 (step-pop @p583 :rule scope :premises (@p582)) % 33.87/34.41 (step @p351 :rule process_scope :premises (@p583) :args (@t297)) % 33.87/34.41 (step @p354 :rule and_intro :premises (@p338 @p578)) % 33.87/34.41 (step @p355 :rule modus_ponens :premises (@p354 @p351)) % 33.87/34.41 (step-pop @p584 :rule scope :premises (@p355)) % 33.87/34.41 (step-pop @p585 :rule scope :premises (@p584)) % 33.87/34.41 (step @p356 :rule process_scope :premises (@p585) :args (@t297)) % 33.87/34.41 (step @p359 :rule implies_elim :premises (@p356)) % 33.87/34.41 (step @p360 :rule cnf_and_neg :args (@t300)) % 33.87/34.41 (step @p361 :rule resolution :premises (@p360 @p359) :args (true @t300)) % 33.87/34.41 (step @p362 :rule eq_resolve :premises (@p361 @p342)) % 33.87/34.41 (step @p363 :rule aci_norm :args ((= (or @t151 (or @t149 @t288)) (or @t151 @t149 @t288)))) % 33.87/34.41 (step @p364 :rule bool-and-de-morgan :args (@t148 @t51 true)) % 33.87/34.41 (step @p365 :rule nary_cong :premises (@p125 @p364) :args ((or @t151 (not (and @t148 @t51))))) % 33.87/34.41 (step @p366 :rule bool-and-de-morgan :args (@t150 @t148 (and @t51))) % 33.87/34.41 (step @p367 :rule trans :premises (@p366 @p365)) % 33.87/34.41 (step @p368 :rule trans :premises (@p367 @p363)) % 33.87/34.41 (step @p369 :rule cong :premises (@p368) :args (@t302)) % 33.87/34.41 (step @p370 :rule cong :premises (@p369) :args (@t303)) % 33.87/34.41 (step @p371 :rule exists-elim :args ((= (exists @t55 @t301) @t303))) % 33.87/34.41 (step @p372 :rule trans :premises (@p371 @p370)) % 33.87/34.41 (step @p373 :rule refl :args (@t51)) % 33.87/34.41 (step @p374 :rule nary_cong :premises (@p136 @p135 @p373) :args (@t54)) % 33.87/34.41 (step @p375 :rule cong :premises (@p374) :args (@t56)) % 33.87/34.41 (step @p376 :rule trans :premises (@p375 @p372)) % 33.87/34.41 (step @p377 :rule nary_cong :premises (@p376 @p119) :args (@t57)) % 33.87/34.41 (step @p378 :rule refl :args (@t58)) % 33.87/34.41 (step @p379 :rule cong :premises (@p378 @p377) :args (@t59)) % 33.87/34.41 (step @p380 :rule cong :premises (@p379) :args (@t61)) % 33.87/34.41 (step @p381 :rule eq_resolve :premises (@p21 @p380)) % 33.87/34.41 (step @p382 :rule instantiate :premises (@p381) :args ((@list @t250 @t178))) % 33.87/34.41 (step @p383 :rule bool-double-not-elim :args (@t251)) % 33.87/34.41 (step @p384 :rule refl :args (@t272)) % 33.87/34.41 (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or @t272 (not @t252)))) % 33.87/34.41 (step @p386 :rule cnf_or_neg :args (@t272 1)) % 33.87/34.41 (step @p387 :rule eq_resolve :premises (@p386 @p385)) % 33.87/34.41 (step @p388 :rule reordering :premises (@p387) :args ((or @t251 @t272))) % 33.87/34.41 (step @p389 :rule chain_m_resolution :premises (@p388 @p278) :args (@t251 @t195 @t273)) % 33.87/34.41 (step @p390 :rule cnf_equiv_pos1 :args (@t306)) % 33.87/34.41 (step @p391 :rule reordering :premises (@p390) :args ((or @t252 @t305 (not @t306)))) % 33.87/34.41 (step @p392 :rule chain_m_resolution :premises (@p391 @p389 @p382) :args (@t305 @t307 (@list @t251 @t306))) % 33.87/34.41 (step @p393 :rule cnf_or_pos :args (@t305)) % 33.87/34.41 (step @p394 :rule reordering :premises (@p393) :args ((or @t304 @t296 (not @t305)))) % 33.87/34.41 (step @p395 :rule refl :args (@t318)) % 33.87/34.41 (step @p396 :rule bool-double-not-elim :args (@t289)) % 33.87/34.41 (step @p397 :rule nary_cong :premises (@p396 @p395) :args ((or (not @t304) @t318))) % 33.87/34.41 (step @p398 :rule refl :args (@t310)) % 33.87/34.41 (step @p399 :rule eq-symm :args (@t311 @t178)) % 33.87/34.41 (step @p400 :rule cong :premises (@p399) :args (@t319)) % 33.87/34.41 (step @p401 :rule eq-symm :args (@t314 @t250)) % 33.87/34.41 (step @p402 :rule cong :premises (@p401) :args (@t320)) % 33.87/34.41 (step @p403 :rule nary_cong :premises (@p402 @p400 @p398) :args (@t321)) % 33.87/34.41 (step @p404 :rule cong :premises (@p403) :args (@t322)) % 33.87/34.41 (step @p405 :rule refl :args (@t304)) % 33.87/34.41 (step @p406 :rule cong :premises (@p405 @p404) :args ((=> @t304 @t322))) % 33.87/34.41 (assume-push @p586 @t304) % 33.87/34.41 (step @p408 :rule skolemize :premises (@p586)) % 33.87/34.41 (step-pop @p587 :rule scope :premises (@p408)) % 33.87/34.41 (step @p409 :rule process_scope :premises (@p587) :args (@t322)) % 33.87/34.41 (step @p411 :rule eq_resolve :premises (@p409 @p406)) % 33.87/34.41 (step @p412 :rule implies_elim :premises (@p411)) % 33.87/34.41 (step @p413 :rule eq_resolve :premises (@p412 @p397)) % 33.87/34.41 (step @p414 :rule bool-double-not-elim :args (@t315)) % 33.87/34.41 (step @p415 :rule refl :args (@t317)) % 33.87/34.41 (step @p416 :rule nary_cong :premises (@p415 @p414) :args ((or @t317 (not @t316)))) % 33.87/34.41 (step @p417 :rule cnf_or_neg :args (@t317 0)) % 33.87/34.41 (step @p418 :rule eq_resolve :premises (@p417 @p416)) % 33.87/34.41 (step @p419 :rule reordering :premises (@p418) :args ((or @t315 @t317))) % 33.87/34.41 (step @p420 :rule bool-double-not-elim :args (@t312)) % 33.87/34.41 (step @p421 :rule nary_cong :premises (@p415 @p420) :args ((or @t317 (not @t313)))) % 33.87/34.41 (step @p422 :rule cnf_or_neg :args (@t317 1)) % 33.87/34.41 (step @p423 :rule eq_resolve :premises (@p422 @p421)) % 33.87/34.41 (step @p424 :rule reordering :premises (@p423) :args ((or @t312 @t317))) % 33.87/34.41 (step @p425 :rule bool-double-not-elim :args (@t309)) % 33.87/34.41 (step @p426 :rule nary_cong :premises (@p415 @p425) :args ((or @t317 (not @t310)))) % 33.87/34.41 (step @p427 :rule cnf_or_neg :args (@t317 2)) % 33.87/34.41 (step @p428 :rule eq_resolve :premises (@p427 @p426)) % 33.87/34.41 (step @p429 :rule reordering :premises (@p428) :args ((or @t309 @t317))) % 33.87/34.41 (step @p430 :rule bool-double-not-elim :args (@t278)) % 33.87/34.41 (step @p431 :rule refl :args (@t280)) % 33.87/34.41 (step @p432 :rule nary_cong :premises (@p431 @p430) :args ((or @t280 (not @t279)))) % 33.87/34.41 (step @p433 :rule cnf_or_neg :args (@t280 0)) % 33.87/34.41 (step @p434 :rule eq_resolve :premises (@p433 @p432)) % 33.87/34.41 (step @p435 :rule reordering :premises (@p434) :args ((or @t278 @t280))) % 33.87/34.41 (step @p436 :rule chain_m_resolution :premises (@p435 @p283) :args (@t278 @t195 @t284)) % 33.87/34.41 (step @p437 :rule refl :args (@t323)) % 33.87/34.41 (step @p438 :rule eq-symm :args (@t267 @t179)) % 33.87/34.41 (step @p439 :rule cong :premises (@p438) :args (@t324)) % 33.87/34.41 (step @p440 :rule nary_cong :premises (@p439 @p400 @p437) :args (@t325)) % 33.87/34.41 (step @p441 :rule refl :args (@t278)) % 33.87/34.41 (step @p442 :rule cong :premises (@p441 @p440) :args ((=> @t278 @t325))) % 33.87/34.41 (assume-push @p588 @t278) % 33.87/34.41 (step @p444 :rule instantiate :premises (@p436) :args ((@list @t260 @t290))) % 33.87/34.41 (step-pop @p589 :rule scope :premises (@p444)) % 33.87/34.41 (step @p445 :rule process_scope :premises (@p589) :args (@t325)) % 33.87/34.41 (step @p447 :rule eq_resolve :premises (@p445 @p442)) % 33.87/34.41 (step @p448 :rule implies_elim :premises (@p447)) % 33.87/34.41 (step @p449 :rule chain_m_resolution :premises (@p448 @p436) :args (@t326 (@list false) (@list @t278))) % 33.87/34.41 (step @p450 :rule cnf_or_pos :args (@t326)) % 33.87/34.41 (step @p451 :rule reordering :premises (@p450) :args ((or @t269 @t313 @t323 (not @t326)))) % 33.87/34.41 (step @p452 :rule cnf_or_pos :args (@t295)) % 33.87/34.41 (step @p453 :rule reordering :premises (@p452) :args ((or @t294 @t292 (not @t295)))) % 33.87/34.41 (assume-push @p590 @t265) % 33.87/34.41 (assume-push @p591 @t315) % 33.87/34.41 (assume-push @p592 @t315) % 33.87/34.41 (assume-push @p593 @t265) % 33.87/34.41 (step @p458 :rule symm :premises (@p590)) % 33.87/34.41 (step @p459 :rule trans :premises (@p458 @p591)) % 33.87/34.41 (step-pop @p594 :rule scope :premises (@p459)) % 33.87/34.41 (step-pop @p595 :rule scope :premises (@p594)) % 33.87/34.41 (step @p460 :rule process_scope :premises (@p595) :args (@t327)) % 33.87/34.41 (step @p463 :rule and_intro :premises (@p591 @p590)) % 33.87/34.41 (step @p464 :rule modus_ponens :premises (@p463 @p460)) % 33.87/34.41 (step-pop @p596 :rule scope :premises (@p464)) % 33.87/34.41 (step-pop @p597 :rule scope :premises (@p596)) % 33.87/34.41 (step @p465 :rule process_scope :premises (@p597) :args (@t327)) % 33.87/34.41 (step @p468 :rule implies_elim :premises (@p465)) % 33.87/34.41 (step @p469 :rule cnf_and_neg :args (@t328)) % 33.87/34.41 (step @p470 :rule resolution :premises (@p469 @p468) :args (true @t328)) % 33.87/34.41 (step @p471 :rule bool-impl-elim :args (@t8 @t5)) % 33.87/34.41 (step @p472 :rule cong :premises (@p471) :args (@t10)) % 33.87/34.41 (step @p473 :rule eq_resolve :premises (@p2 @p472)) % 33.87/34.41 (step @p474 :rule instantiate :premises (@p473) :args ((@list @t261 @t308))) % 33.87/34.41 (step @p475 :rule cnf_or_pos :args (@t331)) % 33.87/34.41 (step @p476 :rule reordering :premises (@p475) :args ((or @t330 @t329 (not @t331)))) % 33.87/34.41 (step @p477 :rule bool-double-not-elim :args (@t293)) % 33.87/34.41 (step @p478 :rule refl :args (@t332)) % 33.87/34.41 (step @p479 :rule nary_cong :premises (@p398 @p478 @p477) :args ((or @t310 @t332 (not @t294)))) % 33.87/34.41 (assume-push @p598 @t294) % 33.87/34.41 (assume-push @p599 @t329) % 33.87/34.41 (assume-push @p600 @t309) % 33.87/34.41 (step @p483 :rule evaluate :args ((= true false))) % 33.87/34.41 (step @p484 :rule false_intro :premises (@p598)) % 33.87/34.41 (step @p485 :rule refl :args (@t290)) % 33.87/34.41 (step @p486 :rule symm :premises (@p599)) % 33.87/34.41 (step @p487 :rule cong :premises (@p486 @p485) :args (@t309)) % 33.87/34.41 (step @p488 :rule true_intro :premises (@p600)) % 33.87/34.41 (step @p489 :rule symm :premises (@p488)) % 33.87/34.41 (step @p490 :rule trans :premises (@p489 @p487 @p484)) % 33.87/34.41 (step @p491 false :rule eq_resolve :premises (@p490 @p483)) % 33.87/34.41 (step-pop @p601 :rule scope :premises (@p491)) % 33.87/34.41 (step-pop @p602 :rule scope :premises (@p601)) % 33.87/34.41 (step-pop @p603 :rule scope :premises (@p602)) % 33.87/34.41 (step @p492 :rule process_scope :premises (@p603) :args (false)) % 33.87/34.41 (assume-push @p604 @t309) % 33.87/34.41 (assume-push @p605 @t329) % 33.87/34.41 (assume-push @p606 @t294) % 33.87/34.41 (step @p499 :rule and_intro :premises (@p606 @p605 @p604)) % 33.87/34.41 (step-pop @p607 :rule scope :premises (@p499)) % 33.87/34.41 (step-pop @p608 :rule scope :premises (@p607)) % 33.87/34.41 (step-pop @p609 :rule scope :premises (@p608)) % 33.87/34.41 (step @p500 :rule process_scope :premises (@p609) :args (@t333)) % 33.87/34.41 (step @p504 :rule implies_elim :premises (@p500)) % 33.87/34.41 (step @p505 :rule resolution :premises (@p504 @p492) :args (true @t333)) % 33.87/34.41 (step @p506 :rule not_and :premises (@p505)) % 33.87/34.41 (step @p507 :rule eq_resolve :premises (@p506 @p479)) % 33.87/34.41 (step @p508 :rule chain_m_resolution :premises (@p507 @p476 @p474 @p470 @p453 @p451 @p449 @p429 @p424 @p419 @p413 @p394 @p392 @p362 @p338 @p337 @p332 @p327 @p321 @p320 @p318 @p312 @p286) :args (@t269 (@list false false false true true false false false false true true false true true false false false true true false true true) (@list @t329 @t331 @t327 @t293 @t292 @t326 @t309 @t312 @t315 @t317 @t289 @t305 @t296 @t298 @t295 @t262 @t265 @t270 @t271 @t259 @t257 @t285))) % 33.87/34.41 (step @p509 :rule bool-double-not-elim :args (@t268)) % 33.87/34.41 (step @p510 :rule nary_cong :premises (@p323 @p509) :args ((or @t270 (not @t269)))) % 33.87/34.41 (step @p511 :rule cnf_or_neg :args (@t270 0)) % 33.87/34.41 (step @p512 :rule eq_resolve :premises (@p511 @p510)) % 33.87/34.41 (step @p513 :rule reordering :premises (@p512) :args ((or @t268 @t270))) % 33.87/34.41 (step @p514 :rule chain_m_resolution :premises (@p513 @p508) :args (@t270 @t195 (@list @t268))) % 33.87/34.41 (step @p515 :rule chain_m_resolution :premises (@p321 @p320 @p514) :args ((not @t259) @t283 (@list @t271 @t270))) % 33.87/34.41 (step @p516 :rule chain_m_resolution :premises (@p318 @p515) :args (@t257 @t195 @t334)) % 33.87/34.41 (step @p517 :rule bool-double-not-elim :args (@t274)) % 33.87/34.41 (step @p518 :rule refl :args (@t276)) % 33.87/34.41 (step @p519 :rule nary_cong :premises (@p518 @p287 @p517) :args ((or @t276 @t258 (not @t275)))) % 33.87/34.41 (step @p520 :rule cnf_and_neg :args (@t276)) % 33.87/34.41 (step @p521 :rule eq_resolve :premises (@p520 @p519)) % 33.87/34.41 (step @p522 :rule reordering :premises (@p521) :args ((or @t258 @t274 @t276))) % 33.87/34.41 (step @p523 :rule chain_m_resolution :premises (@p522 @p516 @p285) :args (@t274 @t335 (@list @t257 @t276))) % 33.87/34.41 (step @p524 :rule instantiate :premises (@p1) :args ((@list @t253))) % 33.87/34.41 (step @p525 :rule bool-double-not-elim :args (@t255)) % 33.87/34.41 (step @p526 :rule nary_cong :premises (@p314 @p525) :args ((or @t259 (not @t256)))) % 33.87/34.41 (step @p527 :rule cnf_or_neg :args (@t259 1)) % 33.87/34.41 (step @p528 :rule eq_resolve :premises (@p527 @p526)) % 33.87/34.41 (step @p529 :rule reordering :premises (@p528) :args ((or @t255 @t259))) % 33.87/34.41 (step @p530 :rule chain_m_resolution :premises (@p529 @p515) :args (@t255 @t195 @t334)) % 33.87/34.41 (step @p531 :rule bool-double-not-elim :args (@t336)) % 33.87/34.41 (step @p532 :rule refl :args (@t256)) % 33.87/34.41 (step @p533 :rule nary_cong :premises (@p532 @p531 @p339) :args ((or @t256 (not @t337) @t297))) % 33.87/34.41 (assume-push @p610 @t255) % 33.87/34.41 (assume-push @p611 @t337) % 33.87/34.41 (assume-push @p612 @t337) % 33.87/34.41 (assume-push @p613 @t255) % 33.87/34.41 (step @p538 :rule false_intro :premises (@p524)) % 33.87/34.41 (step @p296 :rule refl :args (|tptp.'0'|)) % 33.87/34.41 (step @p539 :rule cong :premises (@p296 @p610) :args (@t296)) % 33.87/34.41 (step @p540 :rule trans :premises (@p539 @p538)) % 33.87/34.41 (step @p541 :rule false_elim :premises (@p540)) % 33.87/34.41 (step-pop @p614 :rule scope :premises (@p541)) % 33.87/34.41 (step-pop @p615 :rule scope :premises (@p614)) % 33.87/34.41 (step @p542 :rule process_scope :premises (@p615) :args (@t297)) % 33.87/34.41 (step @p545 :rule and_intro :premises (@p524 @p610)) % 33.87/34.41 (step @p546 :rule modus_ponens :premises (@p545 @p542)) % 33.87/34.41 (step-pop @p616 :rule scope :premises (@p546)) % 33.87/34.41 (step-pop @p617 :rule scope :premises (@p616)) % 33.87/34.41 (step @p547 :rule process_scope :premises (@p617) :args (@t297)) % 33.87/34.41 (step @p550 :rule implies_elim :premises (@p547)) % 33.87/34.41 (step @p551 :rule cnf_and_neg :args (@t338)) % 33.87/34.41 (step @p552 :rule resolution :premises (@p551 @p550) :args (true @t338)) % 33.87/34.41 (step @p553 :rule eq_resolve :premises (@p552 @p533)) % 33.87/34.41 (step @p554 :rule reordering :premises (@p553) :args ((or @t256 @t297 @t336))) % 33.87/34.41 (step @p555 :rule chain_m_resolution :premises (@p554 @p530 @p524) :args (@t297 @t335 (@list @t255 @t336))) % 33.87/34.41 (step @p556 :rule chain_m_resolution :premises (@p394 @p555 @p392) :args (@t304 @t283 (@list @t296 @t305))) % 33.87/34.41 (step @p557 :rule chain_m_resolution :premises (@p413 @p556) :args (@t318 @t195 (@list @t289))) % 33.87/34.41 (step @p558 :rule chain_m_resolution :premises (@p424 @p557) :args (@t312 @t195 (@list @t317))) % 33.87/34.41 (step @p559 :rule refl :args (@t274)) % 33.87/34.41 (step @p560 :rule cong :premises (@p559 @p400) :args ((=> @t274 @t319))) % 33.87/34.41 (assume-push @p618 @t274) % 33.87/34.41 (step @p562 :rule instantiate :premises (@p618) :args (@t291)) % 33.87/34.41 (step-pop @p619 :rule scope :premises (@p562)) % 33.87/34.41 (step @p563 :rule process_scope :premises (@p619) :args (@t319)) % 33.87/34.41 (step @p565 :rule eq_resolve :premises (@p563 @p560)) % 33.87/34.41 (step @p566 :rule implies_elim :premises (@p565)) % 33.87/34.41 (step @p567 false :rule chain_m_resolution :premises (@p566 @p558 @p523) :args (false @t307 (@list @t312 @t274))) % 33.87/34.41 ) % 33.87/34.41 % SZS output end Proof % 33.87/34.41 % cvc5 exiting %------------------------------------------------------------------------------