%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN005-6 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:22:51 AM UTC 2026 % Result : Unsatisfiable 1.13s 1.33s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN005-6 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.33 % Computer : n014.cluster.edu % 0.18/0.33 % Model : x86_64 x86_64 % 0.18/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.33 % Memory : 8042.1875MB % 0.18/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.33 % CPULimit : 300 % 0.18/0.33 % WCLimit : 300 % 0.18/0.33 % DateTime : Tue Jun 2 02:15:13 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.13/1.33 % SZS status Unsatisfiable % 1.13/1.33 % SZS output start Proof % 1.13/1.35 ( % 1.13/1.35 (declare-sort $$unsorted 0) % 1.13/1.35 (declare-const tptp.c $$unsorted) % 1.13/1.35 (declare-const tptp.a $$unsorted) % 1.13/1.35 (declare-const tptp.b $$unsorted) % 1.13/1.35 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 1.13/1.35 (declare-const tptp.identity $$unsorted) % 1.13/1.35 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.35 (declare-const tptp.zero $$unsorted) % 1.13/1.35 (define @t1 () (@var "Y" $$unsorted)) % 1.13/1.35 (define @t2 () (@var "X" $$unsorted)) % 1.13/1.35 (define @t3 () (tptp.divide @t2 @t1)) % 1.13/1.35 (define @t4 () (= @t3 tptp.zero)) % 1.13/1.35 (define @t5 () (tptp.less_equal @t2 @t1)) % 1.13/1.35 (define @t6 () (not @t5)) % 1.13/1.35 (define @t7 () (or @t6 @t4)) % 1.13/1.35 (define @t8 () (@list @t2 @t1)) % 1.13/1.35 (define @t9 () (forall @t8 @t7)) % 1.13/1.35 (define @t10 () (not @t4)) % 1.13/1.35 (define @t11 () (or @t10 @t5)) % 1.13/1.35 (define @t12 () (forall @t8 @t11)) % 1.13/1.35 (define @t13 () (@var "Z" $$unsorted)) % 1.13/1.35 (define @t14 () (@list @t2)) % 1.13/1.35 (define @t15 () (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 1.13/1.35 (define @t16 () (tptp.divide tptp.zero @t2)) % 1.13/1.35 (define @t17 () (forall @t14 (= @t16 tptp.zero))) % 1.13/1.35 (define @t18 () (tptp.less_equal tptp.a tptp.b)) % 1.13/1.35 (define @t19 () (tptp.less_equal tptp.b tptp.c)) % 1.13/1.35 (define @t20 () (tptp.less_equal tptp.a tptp.c)) % 1.13/1.35 (define @t21 () (@list tptp.a tptp.b)) % 1.13/1.35 (define @t22 () (tptp.divide tptp.a tptp.b)) % 1.13/1.35 (define @t23 () (= tptp.zero @t22)) % 1.13/1.35 (define @t24 () (not @t18)) % 1.13/1.35 (define @t25 () (or @t24 @t23)) % 1.13/1.35 (define @t26 () (@list false false)) % 1.13/1.35 (define @t27 () (@list tptp.b tptp.c)) % 1.13/1.35 (define @t28 () (tptp.divide tptp.b tptp.c)) % 1.13/1.35 (define @t29 () (= tptp.zero @t28)) % 1.13/1.35 (define @t30 () (not @t19)) % 1.13/1.35 (define @t31 () (or @t30 @t29)) % 1.13/1.35 (define @t32 () (tptp.divide @t28 tptp.b)) % 1.13/1.35 (define @t33 () (= tptp.zero @t32)) % 1.13/1.35 (define @t34 () (tptp.less_equal @t28 tptp.b)) % 1.13/1.35 (define @t35 () (not @t34)) % 1.13/1.35 (define @t36 () (or @t35 @t33)) % 1.13/1.35 (define @t37 () (tptp.divide tptp.a tptp.c)) % 1.13/1.35 (define @t38 () (@list @t37 tptp.a)) % 1.13/1.35 (define @t39 () (@list tptp.a tptp.c)) % 1.13/1.35 (define @t40 () (tptp.divide @t37 tptp.a)) % 1.13/1.35 (define @t41 () (= tptp.zero @t40)) % 1.13/1.35 (define @t42 () (tptp.less_equal @t37 tptp.a)) % 1.13/1.35 (define @t43 () (not @t42)) % 1.13/1.35 (define @t44 () (or @t43 @t41)) % 1.13/1.35 (define @t45 () (tptp.divide tptp.b tptp.a)) % 1.13/1.35 (define @t46 () (@list @t45 tptp.b)) % 1.13/1.35 (define @t47 () (tptp.divide @t45 tptp.b)) % 1.13/1.35 (define @t48 () (= tptp.zero @t47)) % 1.13/1.35 (define @t49 () (tptp.less_equal @t45 tptp.b)) % 1.13/1.35 (define @t50 () (not @t49)) % 1.13/1.35 (define @t51 () (or @t50 @t48)) % 1.13/1.35 (define @t52 () (tptp.divide tptp.c tptp.b)) % 1.13/1.35 (define @t53 () (tptp.divide @t52 tptp.c)) % 1.13/1.35 (define @t54 () (= tptp.zero @t53)) % 1.13/1.35 (define @t55 () (tptp.less_equal @t52 tptp.c)) % 1.13/1.35 (define @t56 () (not @t55)) % 1.13/1.35 (define @t57 () (or @t56 @t54)) % 1.13/1.35 (define @t58 () (tptp.less_equal @t37 @t40)) % 1.13/1.35 (define @t59 () (not @t58)) % 1.13/1.35 (define @t60 () (tptp.less_equal @t40 @t37)) % 1.13/1.35 (define @t61 () (not @t60)) % 1.13/1.35 (define @t62 () (= @t40 @t37)) % 1.13/1.35 (define @t63 () (or @t61 @t59 @t62)) % 1.13/1.35 (define @t64 () (= @t37 @t40)) % 1.13/1.35 (define @t65 () (or @t61 @t59 @t64)) % 1.13/1.35 (define @t66 () (@list false)) % 1.13/1.35 (define @t67 () (@list @t15)) % 1.13/1.35 (define @t68 () (not (= tptp.zero @t37))) % 1.13/1.35 (define @t69 () (or @t68 @t20)) % 1.13/1.35 (define @t70 () (= tptp.zero (tptp.divide @t47 @t45))) % 1.13/1.35 (define @t71 () (tptp.less_equal @t47 @t45)) % 1.13/1.35 (define @t72 () (not @t71)) % 1.13/1.35 (define @t73 () (or @t72 @t70)) % 1.13/1.36 (define @t74 () (tptp.divide @t40 tptp.b)) % 1.13/1.36 (define @t75 () (tptp.divide @t37 tptp.b)) % 1.13/1.36 (define @t76 () (tptp.divide @t75 @t22)) % 1.13/1.36 (define @t77 () (@list @t76 @t74)) % 1.13/1.36 (define @t78 () (= tptp.zero (tptp.divide @t76 @t74))) % 1.13/1.36 (define @t79 () (tptp.less_equal @t76 @t74)) % 1.13/1.36 (define @t80 () (not @t79)) % 1.13/1.36 (define @t81 () (or @t80 @t78)) % 1.13/1.36 (define @t82 () (tptp.less_equal @t74 @t76)) % 1.13/1.36 (define @t83 () (= @t76 @t74)) % 1.13/1.36 (define @t84 () (not @t82)) % 1.13/1.36 (define @t85 () (or @t80 @t84 @t83)) % 1.13/1.36 (define @t86 () (@list false false false)) % 1.13/1.36 (define @t87 () (tptp.divide @t22 @t52)) % 1.13/1.36 (define @t88 () (tptp.less_equal @t75 @t87)) % 1.13/1.36 (define @t89 () (not @t88)) % 1.13/1.36 (define @t90 () (tptp.less_equal @t87 @t75)) % 1.13/1.36 (define @t91 () (not @t90)) % 1.13/1.36 (define @t92 () (or @t91 @t89 (= @t87 @t75))) % 1.13/1.36 (define @t93 () (= @t75 @t87)) % 1.13/1.36 (define @t94 () (or @t91 @t89 @t93)) % 1.13/1.36 (define @t95 () (tptp.less_equal @t75 @t22)) % 1.13/1.36 (define @t96 () (= tptp.zero @t76)) % 1.13/1.36 (define @t97 () (not @t96)) % 1.13/1.36 (define @t98 () (or @t97 @t95)) % 1.13/1.36 (define @t99 () (tptp.divide tptp.c tptp.c)) % 1.13/1.36 (define @t100 () (= tptp.zero (tptp.divide @t99 tptp.c))) % 1.13/1.36 (define @t101 () (tptp.less_equal @t99 tptp.c)) % 1.13/1.36 (define @t102 () (not @t101)) % 1.13/1.36 (define @t103 () (or @t102 @t100)) % 1.13/1.36 (define @t104 () (tptp.divide tptp.b @t22)) % 1.13/1.36 (define @t105 () (tptp.divide @t37 @t22)) % 1.13/1.36 (define @t106 () (tptp.divide @t105 @t104)) % 1.13/1.36 (define @t107 () (tptp.less_equal @t76 @t106)) % 1.13/1.36 (define @t108 () (not @t107)) % 1.13/1.36 (define @t109 () (tptp.less_equal @t106 @t76)) % 1.13/1.36 (define @t110 () (not @t109)) % 1.13/1.36 (define @t111 () (or @t110 @t108 (= @t106 @t76))) % 1.13/1.36 (define @t112 () (@list @t106 @t76)) % 1.13/1.36 (define @t113 () (= @t76 @t106)) % 1.13/1.36 (define @t114 () (or @t110 @t108 @t113)) % 1.13/1.36 (define @t115 () (= tptp.zero (tptp.divide @t106 @t76))) % 1.13/1.36 (define @t116 () (or @t110 @t115)) % 1.13/1.36 (define @t117 () (tptp.divide @t99 @t28)) % 1.13/1.36 (define @t118 () (tptp.less_equal @t53 @t117)) % 1.13/1.36 (define @t119 () (not @t118)) % 1.13/1.36 (define @t120 () (tptp.less_equal @t117 @t53)) % 1.13/1.36 (define @t121 () (not @t120)) % 1.13/1.36 (define @t122 () (or @t121 @t119 (= @t117 @t53))) % 1.13/1.36 (define @t123 () (@list @t117 @t53)) % 1.13/1.36 (define @t124 () (= @t53 @t117)) % 1.13/1.36 (define @t125 () (or @t121 @t119 @t124)) % 1.13/1.36 (define @t126 () (= tptp.zero (tptp.divide @t117 @t53))) % 1.13/1.36 (define @t127 () (or @t121 @t126)) % 1.13/1.36 (define @t128 () (tptp.less_equal @t99 @t117)) % 1.13/1.36 (define @t129 () (not @t128)) % 1.13/1.36 (define @t130 () (tptp.less_equal @t117 @t99)) % 1.13/1.36 (define @t131 () (not @t130)) % 1.13/1.36 (define @t132 () (or @t131 @t129 (= @t117 @t99))) % 1.13/1.36 (define @t133 () (= @t99 @t117)) % 1.13/1.36 (define @t134 () (or @t131 @t129 @t133)) % 1.13/1.36 (define @t135 () (@list @t99 @t28)) % 1.13/1.36 (define @t136 () (tptp.less_equal @t99 @t28)) % 1.13/1.36 (define @t137 () (= tptp.zero @t117)) % 1.13/1.36 (define @t138 () (not @t137)) % 1.13/1.36 (define @t139 () (or @t138 @t136)) % 1.13/1.36 (define @t140 () (tptp.divide tptp.c @t28)) % 1.13/1.36 (define @t141 () (tptp.divide @t22 @t104)) % 1.13/1.36 (define @t142 () (tptp.divide @t37 @t104)) % 1.13/1.36 (define @t143 () (tptp.divide @t142 @t141)) % 1.13/1.36 (define @t144 () (tptp.less_equal @t106 @t143)) % 1.13/1.36 (define @t145 () (not @t144)) % 1.13/1.36 (define @t146 () (tptp.less_equal @t143 @t106)) % 1.13/1.36 (define @t147 () (not @t146)) % 1.13/1.36 (define @t148 () (or @t147 @t145 (= @t143 @t106))) % 1.13/1.36 (define @t149 () (@list @t143 @t106)) % 1.13/1.36 (define @t150 () (= @t106 @t143)) % 1.13/1.36 (define @t151 () (or @t147 @t145 @t150)) % 1.13/1.36 (define @t152 () (= tptp.zero (tptp.divide @t143 @t106))) % 1.13/1.36 (define @t153 () (or @t147 @t152)) % 1.13/1.36 (define @t154 () (tptp.less_equal @t142 @t143)) % 1.13/1.36 (define @t155 () (not @t154)) % 1.13/1.36 (define @t156 () (tptp.less_equal @t143 @t142)) % 1.13/1.36 (define @t157 () (not @t156)) % 1.13/1.36 (define @t158 () (or @t157 @t155 (= @t143 @t142))) % 1.13/1.36 (define @t159 () (= @t142 @t143)) % 1.13/1.36 (define @t160 () (or @t157 @t155 @t159)) % 1.13/1.36 (define @t161 () (@list @t142 @t141)) % 1.13/1.36 (define @t162 () (tptp.less_equal @t142 @t141)) % 1.13/1.36 (define @t163 () (= tptp.zero @t143)) % 1.13/1.36 (define @t164 () (not @t163)) % 1.13/1.36 (define @t165 () (or @t164 @t162)) % 1.13/1.36 (define @t166 () (tptp.divide tptp.a tptp.a)) % 1.13/1.36 (define @t167 () (@list @t40 @t166)) % 1.13/1.36 (define @t168 () (tptp.divide tptp.c tptp.a)) % 1.13/1.36 (define @t169 () (tptp.divide @t168 @t40)) % 1.13/1.36 (define @t170 () (tptp.divide @t166 @t40)) % 1.13/1.36 (define @t171 () (tptp.divide @t170 @t169)) % 1.13/1.36 (define @t172 () (tptp.less_equal @t170 @t171)) % 1.13/1.36 (define @t173 () (not @t172)) % 1.13/1.36 (define @t174 () (tptp.less_equal @t171 @t170)) % 1.13/1.36 (define @t175 () (not @t174)) % 1.13/1.36 (define @t176 () (or @t175 @t173 (= @t171 @t170))) % 1.13/1.36 (define @t177 () (= @t170 @t171)) % 1.13/1.36 (define @t178 () (or @t175 @t173 @t177)) % 1.13/1.36 (define @t179 () (tptp.divide tptp.a @t37)) % 1.13/1.36 (define @t180 () (= tptp.zero (tptp.divide @t179 tptp.a))) % 1.13/1.36 (define @t181 () (tptp.less_equal @t179 tptp.a)) % 1.13/1.36 (define @t182 () (not @t181)) % 1.13/1.36 (define @t183 () (or @t182 @t180)) % 1.13/1.36 (define @t184 () (tptp.divide @t166 @t168)) % 1.13/1.36 (define @t185 () (tptp.divide @t184 @t40)) % 1.13/1.36 (define @t186 () (= tptp.zero @t185)) % 1.13/1.36 (define @t187 () (tptp.less_equal @t184 @t40)) % 1.13/1.36 (define @t188 () (not @t187)) % 1.13/1.36 (define @t189 () (or @t188 @t186)) % 1.13/1.36 (define @t190 () (tptp.less_equal @t185 @t171)) % 1.13/1.36 (define @t191 () (not @t190)) % 1.13/1.36 (define @t192 () (tptp.less_equal @t171 @t185)) % 1.13/1.36 (define @t193 () (not @t192)) % 1.13/1.36 (define @t194 () (or @t193 @t191 (= @t171 @t185))) % 1.13/1.36 (define @t195 () (@list @t171 @t185)) % 1.13/1.36 (define @t196 () (= @t185 @t171)) % 1.13/1.36 (define @t197 () (or @t193 @t191 @t196)) % 1.13/1.36 (define @t198 () (= tptp.zero (tptp.divide @t171 @t185))) % 1.13/1.36 (define @t199 () (or @t193 @t198)) % 1.13/1.36 (define @t200 () (tptp.less_equal @t166 @t40)) % 1.13/1.36 (define @t201 () (= tptp.zero @t170)) % 1.13/1.36 (define @t202 () (not @t201)) % 1.13/1.36 (define @t203 () (or @t202 @t200)) % 1.13/1.36 (define @t204 () (tptp.divide tptp.zero @t166)) % 1.13/1.36 (define @t205 () (@list @t166)) % 1.13/1.36 (define @t206 () (tptp.less_equal @t40 @t166)) % 1.13/1.36 (define @t207 () (tptp.divide @t40 @t166)) % 1.13/1.36 (define @t208 () (= tptp.zero @t207)) % 1.13/1.36 (define @t209 () (not @t208)) % 1.13/1.36 (define @t210 () (or @t209 @t206)) % 1.13/1.36 (define @t211 () (= @t40 @t166)) % 1.13/1.36 (define @t212 () (not @t200)) % 1.13/1.36 (define @t213 () (not @t206)) % 1.13/1.36 (define @t214 () (or @t213 @t212 @t211)) % 1.13/1.36 (define @t215 () (tptp.divide tptp.c @t166)) % 1.13/1.36 (define @t216 () (tptp.less_equal tptp.c @t215)) % 1.13/1.36 (define @t217 () (not @t216)) % 1.13/1.36 (define @t218 () (tptp.less_equal @t215 tptp.c)) % 1.13/1.36 (define @t219 () (not @t218)) % 1.13/1.36 (define @t220 () (or @t219 @t217 (= @t215 tptp.c))) % 1.13/1.36 (define @t221 () (= tptp.c @t215)) % 1.13/1.36 (define @t222 () (or @t219 @t217 @t221)) % 1.13/1.36 (define @t223 () (tptp.divide tptp.b @t215)) % 1.13/1.36 (define @t224 () (tptp.divide tptp.c @t215)) % 1.13/1.36 (define @t225 () (tptp.divide @t224 @t223)) % 1.13/1.36 (define @t226 () (tptp.less_equal @t224 @t225)) % 1.13/1.36 (define @t227 () (not @t226)) % 1.13/1.36 (define @t228 () (tptp.less_equal @t225 @t224)) % 1.13/1.36 (define @t229 () (not @t228)) % 1.13/1.36 (define @t230 () (or @t229 @t227 (= @t225 @t224))) % 1.13/1.36 (define @t231 () (= @t224 @t225)) % 1.13/1.36 (define @t232 () (or @t229 @t227 @t231)) % 1.13/1.36 (define @t233 () (tptp.divide @t52 @t215)) % 1.13/1.36 (define @t234 () (tptp.less_equal @t233 @t225)) % 1.13/1.36 (define @t235 () (not @t234)) % 1.13/1.36 (define @t236 () (tptp.less_equal @t225 @t233)) % 1.13/1.36 (define @t237 () (not @t236)) % 1.13/1.36 (define @t238 () (or @t237 @t235 (= @t225 @t233))) % 1.13/1.36 (define @t239 () (@list @t225 @t233)) % 1.13/1.36 (define @t240 () (= @t233 @t225)) % 1.13/1.36 (define @t241 () (or @t237 @t235 @t240)) % 1.13/1.36 (define @t242 () (tptp.divide @t166 @t215)) % 1.13/1.36 (define @t243 () (tptp.divide @t233 @t242)) % 1.13/1.36 (define @t244 () (tptp.less_equal @t233 @t243)) % 1.13/1.36 (define @t245 () (not @t244)) % 1.13/1.36 (define @t246 () (tptp.less_equal @t243 @t233)) % 1.13/1.36 (define @t247 () (not @t246)) % 1.13/1.36 (define @t248 () (or @t247 @t245 (= @t243 @t233))) % 1.13/1.36 (define @t249 () (= @t233 @t243)) % 1.13/1.36 (define @t250 () (or @t247 @t245 @t249)) % 1.13/1.36 (define @t251 () (tptp.divide (tptp.divide @t52 @t166) @t215)) % 1.13/1.36 (define @t252 () (tptp.less_equal @t251 @t243)) % 1.13/1.36 (define @t253 () (not @t252)) % 1.13/1.36 (define @t254 () (tptp.less_equal @t243 @t251)) % 1.13/1.36 (define @t255 () (not @t254)) % 1.13/1.36 (define @t256 () (or @t255 @t253 (= @t243 @t251))) % 1.13/1.36 (define @t257 () (@list @t243 @t251)) % 1.13/1.36 (define @t258 () (= @t251 @t243)) % 1.13/1.36 (define @t259 () (or @t255 @t253 @t258)) % 1.13/1.36 (define @t260 () (= tptp.zero (tptp.divide @t243 @t251))) % 1.13/1.36 (define @t261 () (or @t255 @t260)) % 1.13/1.36 (define @t262 () (tptp.divide @t53 @t166)) % 1.13/1.36 (define @t263 () (@list @t251 @t262)) % 1.13/1.36 (define @t264 () (= tptp.zero (tptp.divide @t251 @t262))) % 1.13/1.36 (define @t265 () (tptp.less_equal @t251 @t262)) % 1.13/1.36 (define @t266 () (not @t265)) % 1.13/1.36 (define @t267 () (or @t266 @t264)) % 1.13/1.36 (define @t268 () (tptp.less_equal @t262 @t251)) % 1.13/1.36 (define @t269 () (= @t251 @t262)) % 1.13/1.36 (define @t270 () (not @t268)) % 1.13/1.36 (define @t271 () (or @t266 @t270 @t269)) % 1.13/1.36 (define @t272 () (@list @t233 @t242)) % 1.13/1.36 (define @t273 () (= tptp.zero @t204)) % 1.13/1.36 (define @t274 () (= tptp.zero @t251)) % 1.13/1.36 (define @t275 () (= tptp.zero @t243)) % 1.13/1.36 (define @t276 () (and @t29 @t41 @t54 @t273 @t269 @t258)) % 1.13/1.36 (define @t277 () (not @t258)) % 1.13/1.36 (define @t278 () (not @t269)) % 1.13/1.36 (define @t279 () (not @t273)) % 1.13/1.36 (define @t280 () (not @t54)) % 1.13/1.36 (define @t281 () (not @t41)) % 1.13/1.36 (define @t282 () (not @t29)) % 1.13/1.36 (define @t283 () (tptp.less_equal @t233 @t242)) % 1.13/1.36 (define @t284 () (not @t275)) % 1.13/1.36 (define @t285 () (or @t284 @t283)) % 1.13/1.36 (define @t286 () (tptp.divide tptp.zero @t140)) % 1.13/1.36 (define @t287 () (= tptp.zero @t286)) % 1.13/1.36 (define @t288 () (tptp.divide tptp.c @t22)) % 1.13/1.36 (define @t289 () (tptp.divide @t22 @t140)) % 1.13/1.36 (define @t290 () (and @t23 @t29 @t41 @t54 @t273 @t211 @t269 @t283 @t258 @t287)) % 1.13/1.36 (define @t291 () (not @t287)) % 1.13/1.36 (define @t292 () (not @t211)) % 1.13/1.36 (define @t293 () (not @t23)) % 1.13/1.36 (define @t294 () (tptp.divide @t225 @t233)) % 1.13/1.36 (define @t295 () (= tptp.zero @t294)) % 1.13/1.36 (define @t296 () (or @t237 @t295)) % 1.13/1.36 (define @t297 () (tptp.less_equal @t294 @t225)) % 1.13/1.36 (define @t298 () (and @t29 @t41 @t54 @t273 @t269 @t258 @t295 @t249 @t297)) % 1.13/1.36 (define @t299 () (not @t249)) % 1.13/1.36 (define @t300 () (@list false false false false false false false false false)) % 1.13/1.36 (define @t301 () (tptp.divide tptp.c @t140)) % 1.13/1.36 (define @t302 () (tptp.divide @t288 @t140)) % 1.13/1.36 (define @t303 () (tptp.divide @t301 @t289)) % 1.13/1.36 (define @t304 () (@list @t303 @t302)) % 1.13/1.36 (define @t305 () (= tptp.zero (tptp.divide @t303 @t302))) % 1.13/1.36 (define @t306 () (tptp.less_equal @t303 @t302)) % 1.13/1.36 (define @t307 () (not @t306)) % 1.13/1.36 (define @t308 () (or @t307 @t305)) % 1.13/1.36 (define @t309 () (tptp.divide @t140 @t140)) % 1.13/1.36 (define @t310 () (tptp.less_equal @t117 @t309)) % 1.13/1.36 (define @t311 () (not @t310)) % 1.13/1.36 (define @t312 () (tptp.less_equal @t309 @t117)) % 1.13/1.36 (define @t313 () (not @t312)) % 1.13/1.36 (define @t314 () (or @t313 @t311 (= @t309 @t117))) % 1.13/1.36 (define @t315 () (@list @t309 @t117)) % 1.13/1.36 (define @t316 () (= @t117 @t309)) % 1.13/1.36 (define @t317 () (or @t313 @t311 @t316)) % 1.13/1.36 (define @t318 () (= tptp.zero (tptp.divide @t309 @t117))) % 1.13/1.36 (define @t319 () (or @t313 @t318)) % 1.13/1.36 (define @t320 () (tptp.less_equal @t302 @t303)) % 1.13/1.36 (define @t321 () (= @t303 @t302)) % 1.13/1.36 (define @t322 () (not @t320)) % 1.13/1.36 (define @t323 () (or @t307 @t322 @t321)) % 1.13/1.36 (define @t324 () (tptp.less_equal @t301 @t289)) % 1.13/1.36 (define @t325 () (= tptp.zero @t303)) % 1.13/1.36 (define @t326 () (not @t325)) % 1.13/1.36 (define @t327 () (or @t326 @t324)) % 1.13/1.36 (define @t328 () (and @t23 @t29 @t41 @t54 @t273 @t211 @t269 @t258 @t324 @t249 @t240 @t287)) % 1.13/1.36 (define @t329 () (= tptp.zero @t224)) % 1.13/1.36 (define @t330 () (and @t29 @t41 @t54 @t273 @t269 @t258 @t249 @t240 @t231)) % 1.13/1.36 (define @t331 () (not @t329)) % 1.13/1.36 (define @t332 () (or @t331 @t216)) % 1.13/1.36 (define @t333 () (tptp.divide tptp.b @t28)) % 1.13/1.36 (define @t334 () (tptp.less_equal tptp.b @t333)) % 1.13/1.36 (define @t335 () (not @t334)) % 1.13/1.36 (define @t336 () (tptp.less_equal @t333 tptp.b)) % 1.13/1.36 (define @t337 () (not @t336)) % 1.13/1.36 (define @t338 () (or @t337 @t335 (= @t333 tptp.b))) % 1.13/1.36 (define @t339 () (= tptp.b @t333)) % 1.13/1.36 (define @t340 () (or @t337 @t335 @t339)) % 1.13/1.36 (define @t341 () (tptp.divide tptp.b @t104)) % 1.13/1.36 (define @t342 () (tptp.divide @t28 @t104)) % 1.13/1.36 (define @t343 () (tptp.divide @t341 @t342)) % 1.13/1.36 (define @t344 () (tptp.less_equal @t341 @t343)) % 1.13/1.36 (define @t345 () (not @t344)) % 1.13/1.36 (define @t346 () (tptp.less_equal @t343 @t341)) % 1.13/1.36 (define @t347 () (not @t346)) % 1.13/1.36 (define @t348 () (or @t347 @t345 (= @t343 @t341))) % 1.13/1.36 (define @t349 () (= @t341 @t343)) % 1.13/1.36 (define @t350 () (or @t347 @t345 @t349)) % 1.13/1.36 (define @t351 () (@list @t341 @t342)) % 1.13/1.36 (define @t352 () (tptp.divide @t333 @t104)) % 1.13/1.36 (define @t353 () (@list @t343 @t352)) % 1.13/1.36 (define @t354 () (= tptp.zero (tptp.divide @t343 @t352))) % 1.13/1.36 (define @t355 () (tptp.less_equal @t343 @t352)) % 1.13/1.36 (define @t356 () (not @t355)) % 1.13/1.36 (define @t357 () (or @t356 @t354)) % 1.13/1.36 (define @t358 () (tptp.divide (tptp.divide tptp.b tptp.b) @t22)) % 1.13/1.36 (define @t359 () (tptp.less_equal @t47 @t358)) % 1.13/1.36 (define @t360 () (not @t359)) % 1.13/1.36 (define @t361 () (tptp.less_equal @t358 @t47)) % 1.13/1.36 (define @t362 () (not @t361)) % 1.13/1.36 (define @t363 () (or @t362 @t360 (= @t358 @t47))) % 1.13/1.36 (define @t364 () (@list @t358 @t47)) % 1.13/1.36 (define @t365 () (= @t47 @t358)) % 1.13/1.36 (define @t366 () (or @t362 @t360 @t365)) % 1.13/1.36 (define @t367 () (= tptp.zero (tptp.divide @t358 @t47))) % 1.13/1.36 (define @t368 () (or @t362 @t367)) % 1.13/1.36 (define @t369 () (tptp.divide @t104 @t104)) % 1.13/1.36 (define @t370 () (tptp.less_equal @t358 @t369)) % 1.13/1.36 (define @t371 () (not @t370)) % 1.13/1.36 (define @t372 () (tptp.less_equal @t369 @t358)) % 1.13/1.36 (define @t373 () (not @t372)) % 1.13/1.36 (define @t374 () (or @t373 @t371 (= @t369 @t358))) % 1.13/1.36 (define @t375 () (@list @t369 @t358)) % 1.13/1.36 (define @t376 () (= @t358 @t369)) % 1.13/1.36 (define @t377 () (or @t373 @t371 @t376)) % 1.13/1.36 (define @t378 () (= tptp.zero (tptp.divide @t369 @t358))) % 1.13/1.36 (define @t379 () (or @t373 @t378)) % 1.13/1.36 (define @t380 () (tptp.less_equal @t352 @t343)) % 1.13/1.36 (define @t381 () (= @t343 @t352)) % 1.13/1.36 (define @t382 () (not @t380)) % 1.13/1.36 (define @t383 () (or @t356 @t382 @t381)) % 1.13/1.36 (define @t384 () (tptp.less_equal @t341 @t342)) % 1.13/1.36 (define @t385 () (= tptp.zero @t343)) % 1.13/1.36 (define @t386 () (not @t385)) % 1.13/1.36 (define @t387 () (or @t386 @t384)) % 1.13/1.36 (define @t388 () (= tptp.zero (tptp.divide tptp.b @t333))) % 1.13/1.36 (define @t389 () (not @t388)) % 1.13/1.36 (define @t390 () (or @t389 @t334)) % 1.13/1.36 (define @t391 () (tptp.divide @t22 @t288)) % 1.13/1.36 (define @t392 () (tptp.divide @t288 @t391)) % 1.13/1.36 (define @t393 () (tptp.divide tptp.a @t391)) % 1.13/1.36 (define @t394 () (tptp.divide @t393 @t392)) % 1.13/1.36 (define @t395 () (tptp.divide tptp.a @t288)) % 1.13/1.36 (define @t396 () (tptp.divide @t395 @t391)) % 1.13/1.36 (define @t397 () (tptp.less_equal @t396 @t394)) % 1.13/1.36 (define @t398 () (not @t397)) % 1.13/1.36 (define @t399 () (tptp.less_equal @t394 @t396)) % 1.13/1.36 (define @t400 () (not @t399)) % 1.13/1.36 (define @t401 () (or @t400 @t398 (= @t394 @t396))) % 1.13/1.36 (define @t402 () (= @t396 @t394)) % 1.13/1.36 (define @t403 () (or @t400 @t398 @t402)) % 1.13/1.36 (define @t404 () (= tptp.zero (tptp.divide tptp.zero @t52))) % 1.13/1.36 (define @t405 () (tptp.divide tptp.a @t22)) % 1.13/1.36 (define @t406 () (tptp.divide @t405 @t288)) % 1.13/1.36 (define @t407 () (tptp.less_equal @t396 @t406)) % 1.13/1.36 (define @t408 () (tptp.divide @t75 @t45)) % 1.13/1.36 (define @t409 () (tptp.divide tptp.c @t408)) % 1.13/1.36 (define @t410 () (tptp.divide @t140 @t117)) % 1.13/1.36 (define @t411 () (tptp.divide @t405 @t392)) % 1.13/1.36 (define @t412 () (and @t23 @t29 @t41 @t48 @t54 @t70 @t211 @t93 @t124 @t404 @t407 @t221 @t287)) % 1.13/1.36 (define @t413 () (tptp.less_equal tptp.a @t405)) % 1.13/1.36 (define @t414 () (not @t413)) % 1.13/1.36 (define @t415 () (tptp.less_equal @t405 tptp.a)) % 1.13/1.36 (define @t416 () (not @t415)) % 1.13/1.36 (define @t417 () (or @t416 @t414 (= @t405 tptp.a))) % 1.13/1.36 (define @t418 () (@list @t405 tptp.a)) % 1.13/1.36 (define @t419 () (= tptp.a @t405)) % 1.13/1.36 (define @t420 () (or @t416 @t414 @t419)) % 1.13/1.36 (define @t421 () (tptp.divide tptp.a @t40)) % 1.13/1.36 (define @t422 () (tptp.divide tptp.a @t421)) % 1.13/1.36 (define @t423 () (tptp.divide @t22 @t421)) % 1.13/1.36 (define @t424 () (tptp.divide @t422 @t423)) % 1.13/1.36 (define @t425 () (tptp.less_equal @t422 @t424)) % 1.13/1.36 (define @t426 () (not @t425)) % 1.13/1.36 (define @t427 () (tptp.less_equal @t424 @t422)) % 1.13/1.36 (define @t428 () (not @t427)) % 1.13/1.36 (define @t429 () (or @t428 @t426 (= @t424 @t422))) % 1.13/1.36 (define @t430 () (= @t422 @t424)) % 1.13/1.36 (define @t431 () (or @t428 @t426 @t430)) % 1.13/1.36 (define @t432 () (@list @t422 @t423)) % 1.13/1.36 (define @t433 () (tptp.divide @t405 @t421)) % 1.13/1.36 (define @t434 () (@list @t424 @t433)) % 1.13/1.36 (define @t435 () (= tptp.zero (tptp.divide @t424 @t433))) % 1.13/1.36 (define @t436 () (tptp.less_equal @t424 @t433)) % 1.13/1.36 (define @t437 () (not @t436)) % 1.13/1.36 (define @t438 () (or @t437 @t435)) % 1.13/1.36 (define @t439 () (tptp.divide @t421 @t421)) % 1.13/1.36 (define @t440 () (tptp.less_equal @t170 @t439)) % 1.13/1.36 (define @t441 () (not @t440)) % 1.13/1.36 (define @t442 () (tptp.less_equal @t439 @t170)) % 1.13/1.36 (define @t443 () (not @t442)) % 1.13/1.36 (define @t444 () (or @t443 @t441 (= @t439 @t170))) % 1.13/1.36 (define @t445 () (@list @t439 @t170)) % 1.13/1.36 (define @t446 () (= @t170 @t439)) % 1.13/1.36 (define @t447 () (or @t443 @t441 @t446)) % 1.13/1.36 (define @t448 () (= tptp.zero (tptp.divide @t439 @t170))) % 1.13/1.36 (define @t449 () (or @t443 @t448)) % 1.13/1.36 (define @t450 () (tptp.divide @t22 tptp.a)) % 1.13/1.36 (define @t451 () (= tptp.zero @t450)) % 1.13/1.36 (define @t452 () (tptp.less_equal @t22 tptp.a)) % 1.13/1.36 (define @t453 () (not @t452)) % 1.13/1.36 (define @t454 () (or @t453 @t451)) % 1.13/1.36 (define @t455 () (tptp.less_equal @t433 @t424)) % 1.13/1.36 (define @t456 () (= @t424 @t433)) % 1.13/1.36 (define @t457 () (not @t455)) % 1.13/1.36 (define @t458 () (or @t437 @t457 @t456)) % 1.13/1.36 (define @t459 () (tptp.less_equal @t422 @t423)) % 1.13/1.36 (define @t460 () (= tptp.zero @t424)) % 1.13/1.36 (define @t461 () (not @t460)) % 1.13/1.36 (define @t462 () (or @t461 @t459)) % 1.13/1.36 (define @t463 () (tptp.divide @t405 tptp.a)) % 1.13/1.36 (define @t464 () (= tptp.zero @t463)) % 1.13/1.36 (define @t465 () (or @t416 @t464)) % 1.13/1.36 (define @t466 () (tptp.divide @t463 @t405)) % 1.13/1.36 (define @t467 () (= tptp.zero @t466)) % 1.13/1.36 (define @t468 () (tptp.less_equal @t463 @t405)) % 1.13/1.36 (define @t469 () (not @t468)) % 1.13/1.36 (define @t470 () (or @t469 @t467)) % 1.13/1.36 (define @t471 () (= tptp.zero (tptp.divide tptp.a @t405))) % 1.13/1.36 (define @t472 () (not @t471)) % 1.13/1.36 (define @t473 () (or @t472 @t413)) % 1.13/1.36 (define @t474 () (tptp.divide @t37 @t99)) % 1.13/1.36 (define @t475 () (tptp.divide @t37 tptp.c)) % 1.13/1.36 (define @t476 () (tptp.less_equal @t475 @t474)) % 1.13/1.36 (define @t477 () (not @t476)) % 1.13/1.36 (define @t478 () (tptp.less_equal @t474 @t475)) % 1.13/1.36 (define @t479 () (not @t478)) % 1.13/1.36 (define @t480 () (or @t479 @t477 (= @t474 @t475))) % 1.13/1.36 (define @t481 () (= @t475 @t474)) % 1.13/1.36 (define @t482 () (or @t479 @t477 @t481)) % 1.13/1.36 (define @t483 () (tptp.less_equal @t475 @t37)) % 1.13/1.36 (define @t484 () (tptp.divide @t405 tptp.c)) % 1.13/1.36 (define @t485 () (and @t23 @t29 @t41 @t48 @t54 @t70 @t211 @t419 @t93 @t124 @t404 @t221 @t133 @t483 @t287 @t402)) % 1.13/1.36 (define @t486 () (not @t402)) % 1.13/1.36 (define @t487 () (not @t133)) % 1.13/1.36 (define @t488 () (not @t221)) % 1.13/1.36 (define @t489 () (not @t404)) % 1.13/1.36 (define @t490 () (not @t124)) % 1.13/1.36 (define @t491 () (not @t93)) % 1.13/1.36 (define @t492 () (not @t419)) % 1.13/1.36 (define @t493 () (not @t70)) % 1.13/1.36 (define @t494 () (not @t48)) % 1.13/1.36 (define @t495 () (not @t481)) % 1.13/1.36 (define @t496 () (tptp.divide @t142 tptp.c)) % 1.13/1.36 (define @t497 () (tptp.divide @t104 tptp.c)) % 1.13/1.36 (define @t498 () (tptp.divide @t475 @t497)) % 1.13/1.36 (define @t499 () (tptp.less_equal @t498 @t496)) % 1.13/1.36 (define @t500 () (not @t499)) % 1.13/1.36 (define @t501 () (not @t159)) % 1.13/1.36 (define @t502 () (not @t150)) % 1.13/1.36 (define @t503 () (not @t100)) % 1.13/1.36 (define @t504 () (not @t113)) % 1.13/1.36 (define @t505 () (not @t339)) % 1.13/1.36 (define @t506 () (not @t83)) % 1.13/1.36 (define @t507 () (not @t33)) % 1.13/1.36 (define @t508 () (tptp.divide tptp.b @t140)) % 1.13/1.36 (define @t509 () (tptp.divide @t215 @t508)) % 1.13/1.36 (define @t510 () (tptp.divide tptp.b @t508)) % 1.13/1.36 (define @t511 () (tptp.divide tptp.b @t166)) % 1.13/1.36 (define @t512 () (tptp.divide @t104 @t215)) % 1.13/1.36 (define @t513 () (tptp.divide @t37 @t215)) % 1.13/1.36 (define @t514 () (and @t59 @t221 @t211 @t41 @t23 @t419 @t70 @t48 @t29 @t404 @t93 @t54 @t124 @t287 @t402 @t133 @t481 @t339 @t100 @t33 @t83 @t113 @t150 @t159 @t499)) % 1.13/1.36 (assume @p1 @t9) % 1.13/1.36 (assume @p2 @t12) % 1.13/1.36 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 1.13/1.36 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 1.13/1.36 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 1.13/1.36 (assume @p6 @t15) % 1.13/1.36 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 1.13/1.36 (assume @p8 (forall @t14 (= (tptp.divide @t2 tptp.identity) tptp.zero))) % 1.13/1.36 (assume @p9 @t17) % 1.13/1.36 (assume @p10 @t18) % 1.13/1.36 (assume @p11 @t19) % 1.13/1.36 (assume @p12 (not @t20)) % 1.13/1.36 (step @p13 :rule eq-symm :args (@t3 tptp.zero)) % 1.13/1.36 (step @p14 :rule refl :args (@t6)) % 1.13/1.36 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t7)) % 1.13/1.36 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 1.13/1.36 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 1.13/1.36 (step @p18 :rule instantiate :premises (@p17) :args (@t21)) % 1.13/1.36 (step @p19 :rule cnf_or_pos :args (@t25)) % 1.13/1.36 (step @p20 :rule reordering :premises (@p19) :args ((or @t24 @t23 (not @t25)))) % 1.13/1.36 (step @p21 :rule chain_m_resolution :premises (@p20 @p10 @p18) :args (@t23 @t26 (@list @t18 @t25))) % 1.13/1.36 (step @p22 :rule instantiate :premises (@p17) :args (@t27)) % 1.13/1.36 (step @p23 :rule cnf_or_pos :args (@t31)) % 1.13/1.36 (step @p24 :rule reordering :premises (@p23) :args ((or @t30 @t29 (not @t31)))) % 1.13/1.36 (step @p25 :rule chain_m_resolution :premises (@p24 @p11 @p22) :args (@t29 @t26 (@list @t19 @t31))) % 1.13/1.36 (step @p26 :rule instantiate :premises (@p17) :args ((@list @t28 tptp.b))) % 1.13/1.36 (step @p27 :rule instantiate :premises (@p3) :args (@t27)) % 1.13/1.36 (step @p28 :rule cnf_or_pos :args (@t36)) % 1.13/1.36 (step @p29 :rule reordering :premises (@p28) :args ((or @t35 @t33 (not @t36)))) % 1.13/1.36 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26) :args (@t33 @t26 (@list @t34 @t36))) % 1.13/1.36 (step @p31 :rule instantiate :premises (@p17) :args (@t38)) % 1.13/1.36 (step @p32 :rule instantiate :premises (@p3) :args (@t39)) % 1.13/1.36 (step @p33 :rule cnf_or_pos :args (@t44)) % 1.13/1.36 (step @p34 :rule reordering :premises (@p33) :args ((or @t43 @t41 (not @t44)))) % 1.13/1.36 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p31) :args (@t41 @t26 (@list @t42 @t44))) % 1.13/1.36 (step @p36 :rule instantiate :premises (@p17) :args (@t46)) % 1.13/1.36 (step @p37 :rule instantiate :premises (@p3) :args ((@list tptp.b tptp.a))) % 1.13/1.36 (step @p38 :rule cnf_or_pos :args (@t51)) % 1.13/1.36 (step @p39 :rule reordering :premises (@p38) :args ((or @t50 @t48 (not @t51)))) % 1.13/1.36 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p36) :args (@t48 @t26 (@list @t49 @t51))) % 1.13/1.36 (step @p41 :rule instantiate :premises (@p17) :args ((@list @t52 tptp.c))) % 1.13/1.36 (step @p42 :rule instantiate :premises (@p3) :args ((@list tptp.c tptp.b))) % 1.13/1.36 (step @p43 :rule cnf_or_pos :args (@t57)) % 1.13/1.36 (step @p44 :rule reordering :premises (@p43) :args ((or @t56 @t54 (not @t57)))) % 1.13/1.36 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p41) :args (@t54 @t26 (@list @t55 @t57))) % 1.13/1.36 (step @p46 :rule eq-symm :args (@t40 @t37)) % 1.13/1.36 (step @p47 :rule refl :args (@t59)) % 1.13/1.36 (step @p48 :rule refl :args (@t61)) % 1.13/1.36 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args (@t63)) % 1.13/1.36 (step @p50 :rule refl :args (@t15)) % 1.13/1.36 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t15 @t63))) % 1.13/1.36 (assume-push @p1528 @t15) % 1.13/1.36 (step @p53 :rule instantiate :premises (@p6) :args ((@list @t40 @t37))) % 1.13/1.36 (step-pop @p1529 :rule scope :premises (@p53)) % 1.13/1.36 (step @p54 :rule process_scope :premises (@p1529) :args (@t63)) % 1.13/1.36 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 1.13/1.36 (step @p57 :rule implies_elim :premises (@p56)) % 1.13/1.36 (step @p58 :rule chain_m_resolution :premises (@p57 @p6) :args (@t65 @t66 @t67)) % 1.13/1.36 (step @p59 :rule bool-eq-false :args (@t64)) % 1.13/1.36 (step @p60 :rule symm :premises (@p59)) % 1.13/1.36 (step @p61 :rule cong :premises (@p46) :args ((not @t62))) % 1.13/1.36 (step @p62 :rule bool-eq-false :args (@t62)) % 1.13/1.36 (step @p63 :rule trans :premises (@p62 @p61)) % 1.13/1.36 (step @p64 :rule trans :premises (@p63 @p60)) % 1.13/1.36 (step @p65 :rule refl :args (@t5)) % 1.13/1.36 (step @p66 :rule cong :premises (@p13) :args (@t10)) % 1.13/1.36 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t11)) % 1.13/1.36 (step @p68 :rule cong :premises (@p67) :args (@t12)) % 1.13/1.36 (step @p69 :rule eq_resolve :premises (@p2 @p68)) % 1.13/1.36 (step @p70 :rule instantiate :premises (@p69) :args (@t39)) % 1.13/1.36 (step @p71 :rule cnf_or_pos :args (@t69)) % 1.13/1.36 (step @p72 :rule reordering :premises (@p71) :args ((or @t20 @t68 (not @t69)))) % 1.13/1.36 (step @p73 :rule chain_m_resolution :premises (@p72 @p12 @p70) :args (@t68 (@list true false) (@list @t20 @t69))) % 1.13/1.36 (step @p74 :rule false_intro :premises (@p73)) % 1.13/1.36 (step @p75 :rule refl :args (@t37)) % 1.13/1.36 (step @p76 :rule symm :premises (@p35)) % 1.13/1.36 (step @p77 :rule cong :premises (@p76 @p75) :args (@t62)) % 1.13/1.36 (step @p78 :rule trans :premises (@p77 @p74)) % 1.13/1.36 (step @p79 :rule eq_resolve :premises (@p78 @p64)) % 1.13/1.36 (step @p80 :rule false_elim :premises (@p79)) % 1.13/1.36 (step @p81 :rule instantiate :premises (@p3) :args (@t38)) % 1.13/1.36 (step @p82 :rule cnf_or_pos :args (@t65)) % 1.13/1.36 (step @p83 :rule reordering :premises (@p82) :args ((or @t61 @t59 @t64 (not @t65)))) % 1.13/1.36 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p80 @p58) :args (@t59 (@list false true false) (@list @t60 @t64 @t65))) % 1.13/1.36 (step @p85 :rule eq-symm :args (@t16 tptp.zero)) % 1.13/1.36 (step @p86 :rule cong :premises (@p85) :args (@t17)) % 1.13/1.36 (step @p87 :rule eq_resolve :premises (@p9 @p86)) % 1.13/1.36 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t52))) % 1.13/1.36 (step @p89 :rule instantiate :premises (@p17) :args ((@list @t47 @t45))) % 1.13/1.36 (step @p90 :rule instantiate :premises (@p3) :args (@t46)) % 1.13/1.36 (step @p91 :rule cnf_or_pos :args (@t73)) % 1.13/1.36 (step @p92 :rule reordering :premises (@p91) :args ((or @t72 @t70 (not @t73)))) % 1.13/1.36 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p89) :args (@t70 @t26 (@list @t71 @t73))) % 1.13/1.36 (step @p94 :rule instantiate :premises (@p6) :args (@t77)) % 1.13/1.36 (step @p95 :rule instantiate :premises (@p3) :args (@t77)) % 1.13/1.36 (step @p96 :rule true_intro :premises (@p95)) % 1.13/1.36 (step @p97 :rule refl :args (@t76)) % 1.13/1.36 (step @p98 :rule instantiate :premises (@p17) :args (@t77)) % 1.13/1.36 (step @p99 :rule instantiate :premises (@p4) :args ((@list @t37 tptp.b tptp.a))) % 1.13/1.36 (step @p100 :rule cnf_or_pos :args (@t81)) % 1.13/1.36 (step @p101 :rule reordering :premises (@p100) :args ((or @t80 @t78 (not @t81)))) % 1.13/1.36 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p98) :args (@t78 @t26 (@list @t79 @t81))) % 1.13/1.36 (step @p103 :rule symm :premises (@p25)) % 1.13/1.36 (step @p104 :rule trans :premises (@p103 @p102)) % 1.13/1.36 (step @p105 :rule symm :premises (@p30)) % 1.13/1.36 (step @p106 :rule refl :args (tptp.b)) % 1.13/1.36 (step @p107 :rule trans :premises (@p76 @p25)) % 1.13/1.36 (step @p108 :rule cong :premises (@p107 @p106) :args (@t74)) % 1.13/1.36 (step @p109 :rule trans :premises (@p108 @p105 @p25)) % 1.13/1.36 (step @p110 :rule trans :premises (@p109 @p104)) % 1.13/1.36 (step @p111 :rule cong :premises (@p110 @p97) :args (@t82)) % 1.13/1.36 (step @p112 :rule trans :premises (@p111 @p96)) % 1.13/1.36 (step @p113 :rule true_elim :premises (@p112)) % 1.13/1.36 (step @p114 :rule cnf_or_pos :args (@t85)) % 1.13/1.36 (step @p115 :rule reordering :premises (@p114) :args ((or @t80 @t84 @t83 (not @t85)))) % 1.13/1.36 (step @p116 :rule chain_m_resolution :premises (@p115 @p99 @p113 @p94) :args (@t83 @t86 (@list @t79 @t82 @t85))) % 1.13/1.36 (step @p117 :rule eq-symm :args (@t87 @t75)) % 1.13/1.36 (step @p118 :rule refl :args (@t89)) % 1.13/1.36 (step @p119 :rule refl :args (@t91)) % 1.13/1.36 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t92)) % 1.13/1.36 (step @p121 :rule cong :premises (@p50 @p120) :args ((=> @t15 @t92))) % 1.13/1.36 (assume-push @p1530 @t15) % 1.13/1.36 (step @p123 :rule instantiate :premises (@p6) :args ((@list @t87 @t75))) % 1.13/1.36 (step-pop @p1531 :rule scope :premises (@p123)) % 1.13/1.36 (step @p124 :rule process_scope :premises (@p1531) :args (@t92)) % 1.13/1.36 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 1.13/1.36 (step @p127 :rule implies_elim :premises (@p126)) % 1.13/1.36 (step @p128 :rule chain_m_resolution :premises (@p127 @p6) :args (@t94 @t66 @t67)) % 1.13/1.36 (step @p129 :rule instantiate :premises (@p69) :args ((@list @t75 @t22))) % 1.13/1.36 (step @p130 :rule symm :premises (@p116)) % 1.13/1.36 (step @p131 :rule trans :premises (@p103 @p35)) % 1.13/1.36 (step @p132 :rule cong :premises (@p131 @p106) :args (@t32)) % 1.13/1.36 (step @p133 :rule trans :premises (@p30 @p132 @p130)) % 1.13/1.36 (step @p134 :rule cnf_or_pos :args (@t98)) % 1.13/1.36 (step @p135 :rule reordering :premises (@p134) :args ((or @t95 @t97 (not @t98)))) % 1.13/1.36 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p129) :args (@t95 @t26 (@list @t96 @t98))) % 1.13/1.36 (step @p137 :rule true_intro :premises (@p136)) % 1.13/1.36 (step @p138 :rule symm :premises (@p88)) % 1.13/1.36 (step @p139 :rule refl :args (@t52)) % 1.13/1.36 (step @p140 :rule symm :premises (@p21)) % 1.13/1.36 (step @p141 :rule cong :premises (@p140 @p139) :args (@t87)) % 1.13/1.36 (step @p142 :rule trans :premises (@p141 @p138 @p21)) % 1.13/1.36 (step @p143 :rule refl :args (@t75)) % 1.13/1.36 (step @p144 :rule cong :premises (@p143 @p142) :args (@t88)) % 1.13/1.36 (step @p145 :rule trans :premises (@p144 @p137)) % 1.13/1.36 (step @p146 :rule true_elim :premises (@p145)) % 1.13/1.36 (step @p147 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.b tptp.c))) % 1.13/1.36 (step @p148 :rule cnf_or_pos :args (@t94)) % 1.13/1.36 (step @p149 :rule reordering :premises (@p148) :args ((or @t91 @t89 @t93 (not @t94)))) % 1.13/1.36 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p146 @p128) :args (@t93 @t86 (@list @t90 @t88 @t94))) % 1.13/1.36 (step @p151 :rule instantiate :premises (@p17) :args ((@list @t99 tptp.c))) % 1.13/1.36 (step @p152 :rule instantiate :premises (@p3) :args ((@list tptp.c tptp.c))) % 1.13/1.36 (step @p153 :rule cnf_or_pos :args (@t103)) % 1.13/1.36 (step @p154 :rule reordering :premises (@p153) :args ((or @t102 @t100 (not @t103)))) % 1.13/1.36 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p151) :args (@t100 @t26 (@list @t101 @t103))) % 1.13/1.36 (step @p156 :rule eq-symm :args (@t106 @t76)) % 1.13/1.36 (step @p157 :rule refl :args (@t108)) % 1.13/1.36 (step @p158 :rule refl :args (@t110)) % 1.13/1.36 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156) :args (@t111)) % 1.13/1.36 (step @p160 :rule cong :premises (@p50 @p159) :args ((=> @t15 @t111))) % 1.13/1.36 (assume-push @p1532 @t15) % 1.13/1.36 (step @p162 :rule instantiate :premises (@p6) :args (@t112)) % 1.13/1.36 (step-pop @p1533 :rule scope :premises (@p162)) % 1.13/1.36 (step @p163 :rule process_scope :premises (@p1533) :args (@t111)) % 1.13/1.36 (step @p165 :rule eq_resolve :premises (@p163 @p160)) % 1.13/1.36 (step @p166 :rule implies_elim :premises (@p165)) % 1.13/1.36 (step @p167 :rule chain_m_resolution :premises (@p166 @p6) :args (@t114 @t66 @t67)) % 1.13/1.36 (step @p168 :rule instantiate :premises (@p3) :args (@t112)) % 1.13/1.36 (step @p169 :rule true_intro :premises (@p168)) % 1.13/1.36 (step @p170 :rule refl :args (@t106)) % 1.13/1.36 (step @p171 :rule instantiate :premises (@p17) :args (@t112)) % 1.13/1.36 (step @p172 :rule instantiate :premises (@p4) :args ((@list @t37 @t22 tptp.b))) % 1.13/1.36 (step @p173 :rule cnf_or_pos :args (@t116)) % 1.13/1.36 (step @p174 :rule reordering :premises (@p173) :args ((or @t110 @t115 (not @t116)))) % 1.13/1.36 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p171) :args (@t115 @t26 (@list @t109 @t116))) % 1.13/1.36 (step @p176 :rule trans :premises (@p103 @p175)) % 1.13/1.36 (step @p177 :rule trans :premises (@p116 @p108 @p105 @p25)) % 1.13/1.36 (step @p178 :rule trans :premises (@p177 @p176)) % 1.13/1.36 (step @p179 :rule cong :premises (@p178 @p170) :args (@t107)) % 1.13/1.36 (step @p180 :rule trans :premises (@p179 @p169)) % 1.13/1.36 (step @p181 :rule true_elim :premises (@p180)) % 1.13/1.36 (step @p182 :rule cnf_or_pos :args (@t114)) % 1.13/1.36 (step @p183 :rule reordering :premises (@p182) :args ((or @t110 @t108 @t113 (not @t114)))) % 1.13/1.36 (step @p184 :rule chain_m_resolution :premises (@p183 @p172 @p181 @p167) :args (@t113 @t86 (@list @t109 @t107 @t114))) % 1.13/1.36 (step @p185 :rule eq-symm :args (@t117 @t53)) % 1.13/1.36 (step @p186 :rule refl :args (@t119)) % 1.13/1.36 (step @p187 :rule refl :args (@t121)) % 1.13/1.36 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185) :args (@t122)) % 1.13/1.36 (step @p189 :rule cong :premises (@p50 @p188) :args ((=> @t15 @t122))) % 1.13/1.36 (assume-push @p1534 @t15) % 1.13/1.36 (step @p191 :rule instantiate :premises (@p6) :args (@t123)) % 1.13/1.36 (step-pop @p1535 :rule scope :premises (@p191)) % 1.13/1.36 (step @p192 :rule process_scope :premises (@p1535) :args (@t122)) % 1.13/1.36 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 1.13/1.36 (step @p195 :rule implies_elim :premises (@p194)) % 1.13/1.36 (step @p196 :rule chain_m_resolution :premises (@p195 @p6) :args (@t125 @t66 @t67)) % 1.13/1.36 (step @p197 :rule instantiate :premises (@p3) :args (@t123)) % 1.13/1.36 (step @p198 :rule true_intro :premises (@p197)) % 1.13/1.36 (step @p199 :rule refl :args (@t117)) % 1.13/1.36 (step @p200 :rule instantiate :premises (@p17) :args (@t123)) % 1.13/1.36 (step @p201 :rule instantiate :premises (@p4) :args ((@list tptp.c tptp.c tptp.b))) % 1.13/1.36 (step @p202 :rule cnf_or_pos :args (@t127)) % 1.13/1.36 (step @p203 :rule reordering :premises (@p202) :args ((or @t121 @t126 (not @t127)))) % 1.13/1.36 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p200) :args (@t126 @t26 (@list @t120 @t127))) % 1.13/1.36 (step @p205 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(assume-push @p1933 @t481) % 1.13/1.36 (assume-push @p1934 @t402) % 1.13/1.36 (step @p1496 :rule and_intro :premises (@p84 @p1927 @p386 @p35 @p21 @p1204 @p93 @p40 @p25 @p88 @p150 @p45 @p214 @p243 @p1934 @p242 @p1933 @p966 @p155 @p30 @p116 @p184 @p273 @p304 @p387)) % 1.13/1.36 (step-pop @p1935 :rule scope :premises (@p1496)) % 1.13/1.36 (step-pop @p1936 :rule scope :premises (@p1935)) % 1.13/1.36 (step-pop @p1937 :rule scope :premises (@p1936)) % 1.13/1.36 (step-pop @p1938 :rule scope :premises (@p1937)) % 1.13/1.36 (step-pop @p1939 :rule scope :premises (@p1938)) % 1.13/1.36 (step-pop @p1940 :rule scope :premises (@p1939)) % 1.13/1.36 (step-pop @p1941 :rule scope :premises (@p1940)) % 1.13/1.36 (step-pop @p1942 :rule scope :premises (@p1941)) % 1.13/1.36 (step-pop @p1943 :rule scope :premises (@p1942)) % 1.13/1.36 (step-pop @p1944 :rule scope :premises (@p1943)) % 1.13/1.36 (step-pop @p1945 :rule scope :premises (@p1944)) % 1.13/1.36 (step-pop @p1946 :rule scope :premises (@p1945)) % 1.13/1.36 (step-pop @p1947 :rule scope :premises (@p1946)) % 1.13/1.36 (step-pop @p1948 :rule scope :premises (@p1947)) % 1.13/1.36 (step-pop @p1949 :rule scope :premises (@p1948)) % 1.13/1.36 (step-pop @p1950 :rule scope :premises (@p1949)) % 1.13/1.36 (step-pop @p1951 :rule scope :premises (@p1950)) % 1.13/1.36 (step-pop @p1952 :rule scope :premises (@p1951)) % 1.13/1.36 (step-pop @p1953 :rule scope :premises (@p1952)) % 1.13/1.36 (step-pop @p1954 :rule scope :premises (@p1953)) % 1.13/1.36 (step-pop @p1955 :rule scope :premises (@p1954)) % 1.13/1.36 (step-pop @p1956 :rule scope :premises (@p1955)) % 1.13/1.36 (step-pop @p1957 :rule scope :premises (@p1956)) % 1.13/1.36 (step-pop @p1958 :rule scope :premises (@p1957)) % 1.13/1.36 (step-pop @p1959 :rule scope :premises (@p1958)) % 1.13/1.36 (step @p1497 :rule process_scope :premises (@p1959) :args (@t514)) % 1.13/1.36 (step @p1523 :rule implies_elim :premises (@p1497)) % 1.13/1.36 (step @p1524 :rule resolution :premises (@p1523 @p1445) :args (true @t514)) % 1.13/1.36 (step @p1525 :rule not_and :premises (@p1524)) % 1.13/1.36 (step @p1526 :rule eq_resolve :premises (@p1525 @p1342)) % 1.13/1.36 (step @p1527 false :rule chain_m_resolution :premises (@p1526 @p1316 @p1204 @p1076 @p966 @p831 @p387 @p386 @p304 @p273 @p243 @p242 @p214 @p184 @p155 @p150 @p116 @p93 @p88 @p84 @p45 @p40 @p35 @p30 @p25 @p21) :args (false (@list false false false false false false false false false false false false false false false false false false true false false false false false false) (@list @t481 @t419 @t402 @t339 @t221 @t499 @t211 @t159 @t150 @t287 @t133 @t124 @t113 @t100 @t93 @t83 @t70 @t404 @t58 @t54 @t48 @t41 @t33 @t29 @t23))) % 1.13/1.36 ) % 1.13/1.36 % SZS output end Proof % 1.13/1.36 % cvc5 exiting %------------------------------------------------------------------------------