%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE169+1 : TPTP v9.2.1. Released v5.2.0. % 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 08:28:26 AM UTC 2026 % Result : Theorem 4.04s 4.24s % Output : Proof 4.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE169+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:23:28 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 4.04/4.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.04/4.24 % SZS status Theorem % 4.04/4.24 % SZS output start Proof % 4.04/4.24 ( % 4.04/4.24 (declare-sort $$unsorted 0) % 4.04/4.24 (declare-const tptp.sigma $$unsorted) % 4.04/4.24 (declare-const tptp.a $$unsorted) % 4.04/4.24 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 4.04/4.24 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 4.04/4.24 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 4.04/4.24 (declare-const tptp.zero $$unsorted) % 4.04/4.24 (declare-const tptp.b $$unsorted) % 4.04/4.24 (declare-const tptp.one $$unsorted) % 4.04/4.24 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 4.04/4.24 (define @t1 () (@var "A" $$unsorted)) % 4.04/4.24 (define @t2 () (@var "B" $$unsorted)) % 4.04/4.24 (define @t3 () (tptp.addition @t1 @t2)) % 4.04/4.24 (define @t4 () (@list @t1 @t2)) % 4.04/4.24 (define @t5 () (@var "C" $$unsorted)) % 4.04/4.24 (define @t6 () (tptp.addition @t2 @t5)) % 4.04/4.24 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 4.04/4.24 (define @t8 () (@list @t1)) % 4.04/4.24 (define @t9 () (tptp.addition @t1 @t1)) % 4.04/4.24 (define @t10 () (forall @t8 (= @t9 @t1))) % 4.04/4.24 (define @t11 () (tptp.multiplication @t1 @t2)) % 4.04/4.24 (define @t12 () (tptp.multiplication @t2 @t5)) % 4.04/4.24 (define @t13 () (@list @t1 @t2 @t5)) % 4.04/4.24 (define @t14 () (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t5)))) % 4.04/4.24 (define @t15 () (tptp.multiplication @t1 tptp.one)) % 4.04/4.24 (define @t16 () (forall @t8 (= @t15 @t1))) % 4.04/4.24 (define @t17 () (tptp.multiplication tptp.one @t1)) % 4.04/4.24 (define @t18 () (forall @t8 (= @t17 @t1))) % 4.04/4.24 (define @t19 () (tptp.multiplication @t1 @t5)) % 4.04/4.24 (define @t20 () (tptp.leq @t1 @t2)) % 4.04/4.24 (define @t21 () (= @t20 (= @t3 @t2))) % 4.04/4.24 (define @t22 () (forall @t4 @t21)) % 4.04/4.24 (define @t23 () (tptp.star @t1)) % 4.04/4.24 (define @t24 () (tptp.leq (tptp.multiplication @t23 @t5) @t2)) % 4.04/4.24 (define @t25 () (tptp.addition @t11 @t5)) % 4.04/4.24 (define @t26 () (tptp.leq @t25 @t2)) % 4.04/4.24 (define @t27 () (forall @t13 (=> @t26 @t24))) % 4.04/4.24 (define @t28 () (tptp.addition tptp.a tptp.b)) % 4.04/4.24 (define @t29 () (= tptp.sigma @t28)) % 4.04/4.24 (define @t30 () (tptp.multiplication tptp.sigma tptp.a)) % 4.04/4.24 (define @t31 () (tptp.star tptp.sigma)) % 4.04/4.24 (define @t32 () (tptp.multiplication @t31 (tptp.multiplication tptp.a @t30))) % 4.04/4.24 (define @t33 () (tptp.multiplication tptp.b tptp.a)) % 4.04/4.24 (define @t34 () (tptp.multiplication tptp.a @t33)) % 4.04/4.24 (define @t35 () (tptp.leq @t34 @t32)) % 4.04/4.24 (define @t36 () (@list tptp.a tptp.b tptp.a)) % 4.04/4.24 (define @t37 () (= @t32 (tptp.addition @t34 @t32))) % 4.04/4.24 (define @t38 () (= @t35 @t37)) % 4.04/4.24 (define @t39 () (not @t37)) % 4.04/4.24 (define @t40 () (tptp.multiplication @t31 tptp.sigma)) % 4.04/4.24 (define @t41 () (tptp.multiplication tptp.a tptp.a)) % 4.04/4.24 (define @t42 () (tptp.multiplication @t31 tptp.a)) % 4.04/4.24 (define @t43 () (tptp.multiplication tptp.sigma @t31)) % 4.04/4.24 (define @t44 () (tptp.addition tptp.one @t43)) % 4.04/4.24 (define @t45 () (@list tptp.sigma)) % 4.04/4.24 (define @t46 () (tptp.addition @t44 @t31)) % 4.04/4.24 (define @t47 () (= @t31 @t46)) % 4.04/4.24 (define @t48 () (tptp.leq @t44 @t31)) % 4.04/4.24 (define @t49 () (= @t48 @t47)) % 4.04/4.24 (define @t50 () (@list false false)) % 4.04/4.24 (define @t51 () (tptp.addition tptp.one @t40)) % 4.04/4.24 (define @t52 () (@list @t51 @t31)) % 4.04/4.24 (define @t53 () (tptp.addition @t51 @t31)) % 4.04/4.24 (define @t54 () (= @t31 @t53)) % 4.04/4.24 (define @t55 () (tptp.leq @t51 @t31)) % 4.04/4.24 (define @t56 () (= @t55 @t54)) % 4.04/4.24 (define @t57 () (tptp.multiplication @t42 @t41)) % 4.04/4.24 (define @t58 () (tptp.multiplication @t42 @t33)) % 4.04/4.24 (define @t59 () (tptp.addition @t43 @t31)) % 4.04/4.24 (define @t60 () (tptp.addition tptp.one @t59)) % 4.04/4.24 (define @t61 () (= @t60 @t46)) % 4.04/4.24 (define @t62 () (= @t46 @t60)) % 4.04/4.24 (define @t63 () (@list false)) % 4.04/4.24 (define @t64 () (@list @t7)) % 4.04/4.24 (define @t65 () (tptp.multiplication @t31 @t34)) % 4.04/4.24 (define @t66 () (= @t65 @t58)) % 4.04/4.24 (define @t67 () (@list @t31 tptp.a @t33)) % 4.04/4.24 (define @t68 () (= @t58 @t65)) % 4.04/4.24 (define @t69 () (@list @t14)) % 4.04/4.24 (define @t70 () (tptp.multiplication tptp.a @t41)) % 4.04/4.24 (define @t71 () (tptp.multiplication @t31 @t70)) % 4.04/4.24 (define @t72 () (= @t71 @t57)) % 4.04/4.24 (define @t73 () (@list @t31 tptp.a @t41)) % 4.04/4.24 (define @t74 () (= @t57 @t71)) % 4.04/4.24 (define @t75 () (tptp.addition @t34 @t57)) % 4.04/4.24 (define @t76 () (@list @t75 @t58)) % 4.04/4.24 (define @t77 () (tptp.multiplication tptp.sigma @t51)) % 4.04/4.24 (define @t78 () (tptp.addition @t40 @t51)) % 4.04/4.24 (define @t79 () (tptp.addition tptp.one @t78)) % 4.04/4.24 (define @t80 () (tptp.addition @t51 @t51)) % 4.04/4.24 (define @t81 () (= @t79 @t80)) % 4.04/4.24 (define @t82 () (= @t80 @t79)) % 4.04/4.24 (define @t83 () (@list @t31)) % 4.04/4.24 (define @t84 () (tptp.multiplication @t42 tptp.a)) % 4.04/4.24 (define @t85 () (tptp.multiplication tptp.a tptp.b)) % 4.04/4.24 (define @t86 () (tptp.multiplication @t31 tptp.one)) % 4.04/4.24 (define @t87 () (tptp.leq (tptp.addition @t43 tptp.one) @t31)) % 4.04/4.24 (define @t88 () (tptp.leq @t86 @t31)) % 4.04/4.24 (define @t89 () (not @t87)) % 4.04/4.24 (define @t90 () (or @t89 @t88)) % 4.04/4.24 (define @t91 () (= @t31 (tptp.addition @t86 @t31))) % 4.04/4.24 (define @t92 () (= @t88 @t91)) % 4.04/4.24 (define @t93 () (tptp.multiplication tptp.one @t34)) % 4.04/4.24 (define @t94 () (tptp.multiplication @t59 @t34)) % 4.04/4.24 (define @t95 () (tptp.multiplication tptp.one @t31)) % 4.04/4.24 (define @t96 () (tptp.multiplication tptp.one tptp.one)) % 4.04/4.24 (define @t97 () (tptp.multiplication @t59 tptp.one)) % 4.04/4.24 (define @t98 () (tptp.addition @t57 @t93)) % 4.04/4.24 (define @t99 () (tptp.addition @t95 @t96)) % 4.04/4.24 (define @t100 () (tptp.multiplication @t95 tptp.sigma)) % 4.04/4.24 (define @t101 () (tptp.addition @t100 @t40)) % 4.04/4.24 (define @t102 () (tptp.addition tptp.one @t101)) % 4.04/4.24 (define @t103 () (= @t102 (tptp.addition (tptp.addition tptp.one @t100) @t40))) % 4.04/4.24 (define @t104 () (not @t103)) % 4.04/4.24 (define @t105 () (tptp.addition @t99 @t97)) % 4.04/4.24 (define @t106 () (= @t105 (tptp.addition @t97 @t99))) % 4.04/4.24 (define @t107 () (not @t106)) % 4.04/4.24 (define @t108 () (tptp.addition @t31 @t78)) % 4.04/4.24 (define @t109 () (tptp.addition @t78 @t31)) % 4.04/4.24 (define @t110 () (= @t109 @t108)) % 4.04/4.24 (define @t111 () (not @t110)) % 4.04/4.24 (define @t112 () (tptp.addition @t98 @t94)) % 4.04/4.24 (define @t113 () (= @t112 (tptp.addition @t94 @t98))) % 4.04/4.24 (define @t114 () (not @t113)) % 4.04/4.24 (define @t115 () (tptp.addition @t95 @t43)) % 4.04/4.24 (define @t116 () (tptp.multiplication (tptp.addition tptp.one tptp.sigma) @t31)) % 4.04/4.24 (define @t117 () (= @t116 @t115)) % 4.04/4.24 (define @t118 () (not @t117)) % 4.04/4.24 (define @t119 () (tptp.addition (tptp.multiplication @t77 @t34) @t94)) % 4.04/4.24 (define @t120 () (tptp.addition @t77 @t59)) % 4.04/4.24 (define @t121 () (tptp.multiplication @t120 @t34)) % 4.04/4.24 (define @t122 () (= @t121 @t119)) % 4.04/4.24 (define @t123 () (not @t122)) % 4.04/4.24 (define @t124 () (tptp.addition @t95 @t31)) % 4.04/4.24 (define @t125 () (tptp.multiplication @t124 tptp.sigma)) % 4.04/4.24 (define @t126 () (= @t125 @t101)) % 4.04/4.24 (define @t127 () (not @t126)) % 4.04/4.24 (define @t128 () (tptp.multiplication tptp.one tptp.a)) % 4.04/4.24 (define @t129 () (= tptp.a @t128)) % 4.04/4.24 (define @t130 () (not @t129)) % 4.04/4.24 (define @t131 () (= @t59 @t97)) % 4.04/4.24 (define @t132 () (not @t131)) % 4.04/4.24 (define @t133 () (= tptp.one @t96)) % 4.04/4.24 (define @t134 () (not @t133)) % 4.04/4.24 (define @t135 () (tptp.multiplication @t128 @t33)) % 4.04/4.24 (define @t136 () (= @t93 @t135)) % 4.04/4.24 (define @t137 () (not @t136)) % 4.04/4.24 (define @t138 () (tptp.addition @t93 @t94)) % 4.04/4.24 (define @t139 () (tptp.addition @t138 @t75)) % 4.04/4.24 (define @t140 () (tptp.addition @t94 @t75)) % 4.04/4.24 (define @t141 () (tptp.addition @t93 @t140)) % 4.04/4.24 (define @t142 () (= @t141 @t139)) % 4.04/4.24 (define @t143 () (not @t142)) % 4.04/4.24 (define @t144 () (tptp.addition tptp.one @t109)) % 4.04/4.24 (define @t145 () (= @t144 (tptp.addition @t79 @t31))) % 4.04/4.24 (define @t146 () (not @t145)) % 4.04/4.24 (define @t147 () (tptp.addition @t96 @t97)) % 4.04/4.24 (define @t148 () (tptp.addition @t95 @t147)) % 4.04/4.24 (define @t149 () (= @t148 @t105)) % 4.04/4.24 (define @t150 () (not @t149)) % 4.04/4.24 (define @t151 () (tptp.addition @t43 @t95)) % 4.04/4.24 (define @t152 () (tptp.addition @t151 @t31)) % 4.04/4.24 (define @t153 () (= (tptp.addition @t43 @t124) @t152)) % 4.04/4.24 (define @t154 () (not @t153)) % 4.04/4.24 (define @t155 () (tptp.addition @t57 @t138)) % 4.04/4.24 (define @t156 () (= @t155 @t112)) % 4.04/4.24 (define @t157 () (not @t156)) % 4.04/4.24 (define @t158 () (tptp.addition @t51 @t40)) % 4.04/4.24 (define @t159 () (= @t78 @t158)) % 4.04/4.24 (define @t160 () (not @t159)) % 4.04/4.24 (define @t161 () (tptp.addition @t31 tptp.one)) % 4.04/4.24 (define @t162 () (= @t161 (tptp.addition tptp.one @t31))) % 4.04/4.24 (define @t163 () (not @t162)) % 4.04/4.24 (define @t164 () (not @t91)) % 4.04/4.24 (define @t165 () (tptp.multiplication @t84 tptp.a)) % 4.04/4.24 (define @t166 () (tptp.multiplication @t85 tptp.a)) % 4.04/4.24 (define @t167 () (tptp.addition @t166 @t165)) % 4.04/4.24 (define @t168 () (tptp.multiplication (tptp.addition @t85 @t84) tptp.a)) % 4.04/4.24 (define @t169 () (= @t168 @t167)) % 4.04/4.24 (define @t170 () (not @t169)) % 4.04/4.24 (define @t171 () (tptp.addition (tptp.multiplication tptp.one @t70) (tptp.multiplication @t59 @t70))) % 4.04/4.24 (define @t172 () (tptp.multiplication @t60 @t70)) % 4.04/4.24 (define @t173 () (= @t172 @t171)) % 4.04/4.24 (define @t174 () (not @t173)) % 4.04/4.24 (define @t175 () (tptp.multiplication @t60 @t34)) % 4.04/4.24 (define @t176 () (= @t175 @t138)) % 4.04/4.24 (define @t177 () (not @t176)) % 4.04/4.24 (define @t178 () (tptp.multiplication @t60 tptp.one)) % 4.04/4.24 (define @t179 () (= @t178 @t147)) % 4.04/4.24 (define @t180 () (not @t179)) % 4.04/4.24 (define @t181 () (= @t31 @t95)) % 4.04/4.24 (define @t182 () (not @t181)) % 4.04/4.24 (define @t183 () (= @t31 @t86)) % 4.04/4.24 (define @t184 () (not @t183)) % 4.04/4.24 (define @t185 () (= @t51 @t80)) % 4.04/4.24 (define @t186 () (not @t185)) % 4.04/4.24 (define @t187 () (not @t82)) % 4.04/4.24 (define @t188 () (tptp.addition @t77 @t43)) % 4.04/4.24 (define @t189 () (tptp.addition @t188 @t31)) % 4.04/4.24 (define @t190 () (= @t120 @t189)) % 4.04/4.24 (define @t191 () (not @t190)) % 4.04/4.24 (define @t192 () (tptp.addition @t58 @t75)) % 4.04/4.24 (define @t193 () (tptp.addition @t75 @t58)) % 4.04/4.24 (define @t194 () (= @t193 @t192)) % 4.04/4.24 (define @t195 () (not @t194)) % 4.04/4.24 (define @t196 () (= @t59 (tptp.addition @t31 @t43))) % 4.04/4.24 (define @t197 () (not @t196)) % 4.04/4.24 (define @t198 () (= @t75 (tptp.addition @t57 @t34))) % 4.04/4.24 (define @t199 () (not @t198)) % 4.04/4.24 (define @t200 () (tptp.multiplication tptp.sigma @t53)) % 4.04/4.24 (define @t201 () (= @t200 @t188)) % 4.04/4.24 (define @t202 () (not @t201)) % 4.04/4.24 (define @t203 () (not @t74)) % 4.04/4.24 (define @t204 () (not @t68)) % 4.04/4.24 (define @t205 () (= @t57 @t165)) % 4.04/4.24 (define @t206 () (not @t205)) % 4.04/4.24 (define @t207 () (not @t62)) % 4.04/4.24 (define @t208 () (tptp.addition @t57 @t58)) % 4.04/4.24 (define @t209 () (tptp.addition @t34 @t208)) % 4.04/4.24 (define @t210 () (= @t209 @t193)) % 4.04/4.24 (define @t211 () (not @t210)) % 4.04/4.24 (define @t212 () (= @t53 (tptp.addition @t31 @t51))) % 4.04/4.24 (define @t213 () (not @t212)) % 4.04/4.24 (define @t214 () (not @t54)) % 4.04/4.24 (define @t215 () (not @t47)) % 4.04/4.24 (define @t216 () (tptp.addition @t41 @t33)) % 4.04/4.24 (define @t217 () (tptp.multiplication @t42 @t216)) % 4.04/4.24 (define @t218 () (= @t217 @t208)) % 4.04/4.24 (define @t219 () (not @t218)) % 4.04/4.24 (define @t220 () (tptp.addition @t40 tptp.one)) % 4.04/4.24 (define @t221 () (= @t51 @t220)) % 4.04/4.24 (define @t222 () (not @t221)) % 4.04/4.24 (define @t223 () (tptp.multiplication @t28 tptp.a)) % 4.04/4.24 (define @t224 () (= @t223 @t216)) % 4.04/4.24 (define @t225 () (not @t224)) % 4.04/4.24 (define @t226 () (= @t34 @t166)) % 4.04/4.24 (define @t227 () (not @t226)) % 4.04/4.24 (define @t228 () (= @t32 (tptp.multiplication @t42 @t30))) % 4.04/4.24 (define @t229 () (not @t228)) % 4.04/4.24 (define @t230 () (not @t29)) % 4.04/4.24 (define @t231 () (= @t140 @t141)) % 4.04/4.24 (define @t232 () (not @t231)) % 4.04/4.24 (define @t233 () (tptp.addition @t168 @t58)) % 4.04/4.24 (define @t234 () (tptp.multiplication @t124 @t34)) % 4.04/4.24 (define @t235 () (tptp.addition @t220 @t40)) % 4.04/4.24 (define @t236 () (tptp.addition tptp.one @t108)) % 4.04/4.24 (define @t237 () (tptp.addition @t59 @t31)) % 4.04/4.24 (define @t238 () (tptp.multiplication @t116 @t34)) % 4.04/4.24 (define @t239 () (tptp.addition @t171 @t34)) % 4.04/4.24 (define @t240 () (tptp.addition @t98 @t119)) % 4.04/4.24 (define @t241 () (tptp.addition @t166 @t32)) % 4.04/4.24 (define @t242 () (and @t232 @t231)) % 4.04/4.24 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 4.04/4.24 (assume @p2 @t7) % 4.04/4.24 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 4.04/4.24 (assume @p4 @t10) % 4.04/4.24 (assume @p5 @t14) % 4.04/4.24 (assume @p6 @t16) % 4.04/4.24 (assume @p7 @t18) % 4.04/4.24 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t6) (tptp.addition @t11 @t19)))) % 4.04/4.24 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t5) (tptp.addition @t19 @t12)))) % 4.04/4.24 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 4.04/4.24 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 4.04/4.24 (assume @p12 @t22) % 4.04/4.24 (assume @p13 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t23)) @t23))) % 4.04/4.24 (assume @p14 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t23 @t1)) @t23))) % 4.04/4.24 (assume @p15 @t27) % 4.04/4.24 (assume @p16 (forall @t13 (=> (tptp.leq @t25 @t1) (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1)))) % 4.04/4.24 (assume @p17 @t29) % 4.04/4.24 (assume @p18 (not @t35)) % 4.04/4.24 (assume @p19 true) % 4.04/4.24 (step @p20 :rule instantiate :premises (@p5) :args ((@list @t31 tptp.a @t30))) % 4.04/4.24 (step @p21 :rule instantiate :premises (@p5) :args (@t36)) % 4.04/4.24 (step @p22 :rule instantiate :premises (@p9) :args (@t36)) % 4.04/4.24 (step @p23 :rule eq-symm :args (@t3 @t2)) % 4.04/4.24 (step @p24 :rule refl :args (@t20)) % 4.04/4.24 (step @p25 :rule cong :premises (@p24 @p23) :args (@t21)) % 4.04/4.24 (step @p26 :rule cong :premises (@p25) :args (@t22)) % 4.04/4.24 (step @p27 :rule eq_resolve :premises (@p12 @p26)) % 4.04/4.24 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t34 @t32))) % 4.04/4.24 (step @p29 :rule cnf_equiv_pos2 :args (@t38)) % 4.04/4.24 (step @p30 :rule reordering :premises (@p29) :args ((or @t35 @t39 (not @t38)))) % 4.04/4.24 (step @p31 :rule chain_m_resolution :premises (@p30 @p18 @p28) :args (@t39 (@list true false) (@list @t35 @t38))) % 4.04/4.24 (step @p32 :rule instantiate :premises (@p1) :args ((@list tptp.one @t40))) % 4.04/4.24 (step @p33 :rule instantiate :premises (@p8) :args ((@list @t42 @t41 @t33))) % 4.04/4.24 (step @p34 :rule instantiate :premises (@p27) :args ((@list @t44 @t31))) % 4.04/4.24 (step @p35 :rule instantiate :premises (@p13) :args (@t45)) % 4.04/4.24 (step @p36 :rule cnf_equiv_pos1 :args (@t49)) % 4.04/4.24 (step @p37 :rule reordering :premises (@p36) :args ((or (not @t48) @t47 (not @t49)))) % 4.04/4.24 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34) :args (@t47 @t50 (@list @t48 @t49))) % 4.04/4.24 (step @p39 :rule instantiate :premises (@p27) :args (@t52)) % 4.04/4.24 (step @p40 :rule instantiate :premises (@p14) :args (@t45)) % 4.04/4.24 (step @p41 :rule cnf_equiv_pos1 :args (@t56)) % 4.04/4.24 (step @p42 :rule reordering :premises (@p41) :args ((or (not @t55) @t54 (not @t56)))) % 4.04/4.24 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p39) :args (@t54 @t50 (@list @t55 @t56))) % 4.04/4.24 (step @p44 :rule instantiate :premises (@p1) :args (@t52)) % 4.04/4.24 (step @p45 :rule instantiate :premises (@p2) :args ((@list @t58 @t57 @t34))) % 4.04/4.24 (step @p46 :rule eq-symm :args (@t60 @t46)) % 4.04/4.24 (step @p47 :rule refl :args (@t7)) % 4.04/4.24 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t7 @t61))) % 4.04/4.24 (assume-push @p436 @t7) % 4.04/4.24 (step @p50 :rule instantiate :premises (@p2) :args ((@list @t31 @t43 tptp.one))) % 4.04/4.24 (step-pop @p437 :rule scope :premises (@p50)) % 4.04/4.24 (step @p51 :rule process_scope :premises (@p437) :args (@t61)) % 4.04/4.24 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 4.04/4.24 (step @p54 :rule implies_elim :premises (@p53)) % 4.04/4.24 (step @p55 :rule chain_m_resolution :premises (@p54 @p2) :args (@t62 @t63 @t64)) % 4.04/4.24 (step @p56 :rule instantiate :premises (@p5) :args ((@list @t42 tptp.a tptp.a))) % 4.04/4.24 (step @p57 :rule eq-symm :args (@t65 @t58)) % 4.04/4.24 (step @p58 :rule refl :args (@t14)) % 4.04/4.24 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t14 @t66))) % 4.04/4.24 (assume-push @p438 @t14) % 4.04/4.24 (step @p61 :rule instantiate :premises (@p5) :args (@t67)) % 4.04/4.24 (step-pop @p439 :rule scope :premises (@p61)) % 4.04/4.24 (step @p62 :rule process_scope :premises (@p439) :args (@t66)) % 4.04/4.24 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 4.04/4.24 (step @p65 :rule implies_elim :premises (@p64)) % 4.04/4.24 (step @p66 :rule chain_m_resolution :premises (@p65 @p5) :args (@t68 @t63 @t69)) % 4.04/4.24 (step @p67 :rule eq-symm :args (@t71 @t57)) % 4.04/4.24 (step @p68 :rule cong :premises (@p58 @p67) :args ((=> @t14 @t72))) % 4.04/4.24 (assume-push @p440 @t14) % 4.04/4.24 (step @p70 :rule instantiate :premises (@p5) :args (@t73)) % 4.04/4.24 (step-pop @p441 :rule scope :premises (@p70)) % 4.04/4.24 (step @p71 :rule process_scope :premises (@p441) :args (@t72)) % 4.04/4.24 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 4.04/4.24 (step @p74 :rule implies_elim :premises (@p73)) % 4.04/4.24 (step @p75 :rule chain_m_resolution :premises (@p74 @p5) :args (@t74 @t63 @t69)) % 4.04/4.24 (step @p76 :rule instantiate :premises (@p8) :args ((@list tptp.sigma @t51 @t31))) % 4.04/4.24 (step @p77 :rule instantiate :premises (@p1) :args ((@list @t34 @t57))) % 4.04/4.24 (step @p78 :rule instantiate :premises (@p1) :args ((@list @t43 @t31))) % 4.04/4.24 (step @p79 :rule instantiate :premises (@p1) :args (@t76)) % 4.04/4.24 (step @p80 :rule instantiate :premises (@p2) :args ((@list @t31 @t43 @t77))) % 4.04/4.24 (step @p81 :rule eq-symm :args (@t79 @t80)) % 4.04/4.24 (step @p82 :rule cong :premises (@p47 @p81) :args ((=> @t7 @t81))) % 4.04/4.24 (assume-push @p442 @t7) % 4.04/4.24 (step @p84 :rule instantiate :premises (@p2) :args ((@list @t51 @t40 tptp.one))) % 4.04/4.24 (step-pop @p443 :rule scope :premises (@p84)) % 4.04/4.24 (step @p85 :rule process_scope :premises (@p443) :args (@t81)) % 4.04/4.24 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 4.04/4.24 (step @p88 :rule implies_elim :premises (@p87)) % 4.04/4.24 (step @p89 :rule chain_m_resolution :premises (@p88 @p2) :args (@t82 @t63 @t64)) % 4.04/4.24 (step @p90 :rule eq-symm :args (@t9 @t1)) % 4.04/4.24 (step @p91 :rule cong :premises (@p90) :args (@t10)) % 4.04/4.24 (step @p92 :rule eq_resolve :premises (@p4 @p91)) % 4.04/4.24 (step @p93 :rule instantiate :premises (@p92) :args ((@list @t51))) % 4.04/4.24 (step @p94 :rule eq-symm :args (@t15 @t1)) % 4.04/4.24 (step @p95 :rule cong :premises (@p94) :args (@t16)) % 4.04/4.24 (step @p96 :rule eq_resolve :premises (@p6 @p95)) % 4.04/4.24 (step @p97 :rule instantiate :premises (@p96) :args (@t83)) % 4.04/4.24 (step @p98 :rule eq-symm :args (@t17 @t1)) % 4.04/4.24 (step @p99 :rule cong :premises (@p98) :args (@t18)) % 4.04/4.24 (step @p100 :rule eq_resolve :premises (@p7 @p99)) % 4.04/4.24 (step @p101 :rule instantiate :premises (@p100) :args (@t83)) % 4.04/4.24 (step @p102 :rule instantiate :premises (@p9) :args ((@list tptp.one @t59 tptp.one))) % 4.04/4.24 (step @p103 :rule instantiate :premises (@p9) :args ((@list tptp.one @t59 @t34))) % 4.04/4.24 (step @p104 :rule instantiate :premises (@p9) :args ((@list tptp.one @t59 @t70))) % 4.04/4.24 (step @p105 :rule instantiate :premises (@p9) :args ((@list @t85 @t84 tptp.a))) % 4.04/4.24 (step @p106 :rule instantiate :premises (@p27) :args ((@list @t86 @t31))) % 4.04/4.24 (step @p107 :rule bool-impl-elim :args (@t26 @t24)) % 4.04/4.24 (step @p108 :rule cong :premises (@p107) :args (@t27)) % 4.04/4.24 (step @p109 :rule eq_resolve :premises (@p15 @p108)) % 4.04/4.24 (step @p110 :rule instantiate :premises (@p109) :args ((@list tptp.sigma @t31 tptp.one))) % 4.04/4.24 (step @p111 :rule true_intro :premises (@p35)) % 4.04/4.24 (step @p112 :rule refl :args (@t31)) % 4.04/4.24 (step @p113 :rule instantiate :premises (@p1) :args ((@list tptp.one @t43))) % 4.04/4.24 (step @p114 :rule symm :premises (@p113)) % 4.04/4.24 (step @p115 :rule cong :premises (@p114 @p112) :args (@t87)) % 4.04/4.24 (step @p116 :rule trans :premises (@p115 @p111)) % 4.04/4.24 (step @p117 :rule true_elim :premises (@p116)) % 4.04/4.24 (step @p118 :rule cnf_or_pos :args (@t90)) % 4.04/4.24 (step @p119 :rule reordering :premises (@p118) :args ((or @t89 @t88 (not @t90)))) % 4.04/4.24 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p110) :args (@t88 @t50 (@list @t87 @t90))) % 4.04/4.24 (step @p121 :rule cnf_equiv_pos1 :args (@t92)) % 4.04/4.24 (step @p122 :rule reordering :premises (@p121) :args ((or (not @t88) @t91 (not @t92)))) % 4.04/4.24 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p106) :args (@t91 @t50 (@list @t88 @t92))) % 4.04/4.24 (step @p124 :rule instantiate :premises (@p1) :args ((@list @t31 tptp.one))) % 4.04/4.24 (step @p125 :rule instantiate :premises (@p1) :args ((@list @t40 @t51))) % 4.04/4.24 (step @p126 :rule instantiate :premises (@p2) :args ((@list @t94 @t93 @t57))) % 4.04/4.24 (step @p127 :rule instantiate :premises (@p2) :args ((@list @t31 @t95 @t43))) % 4.04/4.24 (step @p128 :rule instantiate :premises (@p2) :args ((@list @t97 @t96 @t95))) % 4.04/4.24 (step @p129 :rule instantiate :premises (@p2) :args ((@list @t31 @t78 tptp.one))) % 4.04/4.24 (step @p130 :rule instantiate :premises (@p2) :args ((@list @t75 @t94 @t93))) % 4.04/4.24 (step @p131 :rule instantiate :premises (@p5) :args ((@list tptp.one tptp.a @t33))) % 4.04/4.24 (step @p132 :rule instantiate :premises (@p96) :args ((@list tptp.one))) % 4.04/4.24 (step @p133 :rule instantiate :premises (@p96) :args ((@list @t59))) % 4.04/4.24 (step @p134 :rule instantiate :premises (@p100) :args ((@list tptp.a))) % 4.04/4.24 (step @p135 :rule instantiate :premises (@p9) :args ((@list @t95 @t31 tptp.sigma))) % 4.04/4.24 (step @p136 :rule instantiate :premises (@p9) :args ((@list @t77 @t59 @t34))) % 4.04/4.24 (step @p137 :rule instantiate :premises (@p9) :args ((@list tptp.one tptp.sigma @t31))) % 4.04/4.24 (step @p138 :rule instantiate :premises (@p1) :args ((@list @t98 @t94))) % 4.04/4.24 (step @p139 :rule instantiate :premises (@p1) :args ((@list @t78 @t31))) % 4.04/4.24 (step @p140 :rule instantiate :premises (@p1) :args ((@list @t99 @t97))) % 4.04/4.24 (step @p141 :rule instantiate :premises (@p2) :args ((@list @t40 @t100 tptp.one))) % 4.04/4.24 (step @p142 :rule refl :args (@t104)) % 4.04/4.24 (step @p143 :rule refl :args (@t107)) % 4.04/4.24 (step @p144 :rule refl :args (@t111)) % 4.04/4.24 (step @p145 :rule refl :args (@t114)) % 4.04/4.24 (step @p146 :rule refl :args (@t118)) % 4.04/4.24 (step @p147 :rule refl :args (@t123)) % 4.04/4.24 (step @p148 :rule refl :args (@t127)) % 4.04/4.24 (step @p149 :rule refl :args (@t130)) % 4.04/4.24 (step @p150 :rule refl :args (@t132)) % 4.04/4.24 (step @p151 :rule refl :args (@t134)) % 4.04/4.24 (step @p152 :rule refl :args (@t137)) % 4.04/4.24 (step @p153 :rule refl :args (@t143)) % 4.04/4.24 (step @p154 :rule refl :args (@t146)) % 4.04/4.24 (step @p155 :rule refl :args (@t150)) % 4.04/4.24 (step @p156 :rule refl :args (@t154)) % 4.04/4.24 (step @p157 :rule refl :args (@t157)) % 4.04/4.24 (step @p158 :rule refl :args (@t160)) % 4.04/4.24 (step @p159 :rule refl :args (@t163)) % 4.04/4.24 (step @p160 :rule refl :args (@t164)) % 4.04/4.24 (step @p161 :rule refl :args (@t170)) % 4.04/4.24 (step @p162 :rule refl :args (@t174)) % 4.04/4.24 (step @p163 :rule refl :args (@t177)) % 4.04/4.24 (step @p164 :rule refl :args (@t180)) % 4.04/4.24 (step @p165 :rule refl :args (@t182)) % 4.04/4.24 (step @p166 :rule refl :args (@t184)) % 4.04/4.24 (step @p167 :rule refl :args (@t186)) % 4.04/4.24 (step @p168 :rule refl :args (@t187)) % 4.04/4.24 (step @p169 :rule refl :args (@t191)) % 4.04/4.24 (step @p170 :rule refl :args (@t195)) % 4.04/4.24 (step @p171 :rule refl :args (@t197)) % 4.04/4.24 (step @p172 :rule refl :args (@t199)) % 4.04/4.24 (step @p173 :rule refl :args (@t202)) % 4.04/4.24 (step @p174 :rule refl :args (@t203)) % 4.04/4.24 (step @p175 :rule refl :args (@t204)) % 4.04/4.24 (step @p176 :rule refl :args (@t206)) % 4.04/4.24 (step @p177 :rule refl :args (@t207)) % 4.04/4.24 (step @p178 :rule refl :args (@t211)) % 4.04/4.24 (step @p179 :rule refl :args (@t213)) % 4.04/4.24 (step @p180 :rule refl :args (@t214)) % 4.04/4.24 (step @p181 :rule refl :args (@t215)) % 4.04/4.24 (step @p182 :rule refl :args (@t219)) % 4.04/4.24 (step @p183 :rule refl :args (@t222)) % 4.04/4.24 (step @p184 :rule bool-double-not-elim :args (@t37)) % 4.04/4.24 (step @p185 :rule refl :args (@t225)) % 4.04/4.24 (step @p186 :rule refl :args (@t227)) % 4.04/4.24 (step @p187 :rule refl :args (@t229)) % 4.04/4.24 (step @p188 :rule refl :args (@t230)) % 4.04/4.24 (step @p189 :rule nary_cong :premises (@p188 @p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142) :args ((or @t230 @t229 @t227 @t225 (not @t39) @t222 @t219 @t215 @t214 @t213 @t211 @t207 @t206 @t204 @t203 @t202 @t199 @t197 @t195 @t191 @t187 @t186 @t184 @t182 @t180 @t177 @t174 @t170 @t164 @t163 @t160 @t157 @t154 @t150 @t146 @t143 @t137 @t134 @t132 @t130 @t127 @t123 @t118 @t114 @t111 @t107 @t104))) % 4.04/4.24 (assume-push @p444 @t232) % 4.04/4.24 (assume-push @p445 @t231) % 4.04/4.24 (step @p192 :rule evaluate :args ((= false true))) % 4.04/4.24 (step @p193 :rule symm :premises (@p130)) % 4.04/4.24 (step @p194 :rule refl :args (@t75)) % 4.04/4.24 (step @p195 :rule refl :args (@t34)) % 4.04/4.24 (step @p196 :rule trans :premises (@p38 @p55)) % 4.04/4.24 (step @p197 :rule cong :premises (@p196 @p195) :args (@t65)) % 4.04/4.24 (step @p198 :rule trans :premises (@p66 @p197 @p103)) % 4.04/4.24 (step @p199 :rule cong :premises (@p198 @p194) :args (@t192)) % 4.04/4.24 (step @p200 :rule instantiate :premises (@p1) :args (@t76)) % 4.04/4.24 (step @p201 :rule refl :args (@t58)) % 4.04/4.24 (step @p202 :rule symm :premises (@p56)) % 4.04/4.24 (step @p203 :rule symm :premises (@p21)) % 4.04/4.24 (step @p204 :rule cong :premises (@p203 @p202) :args (@t167)) % 4.04/4.24 (step @p205 :rule trans :premises (@p105 @p204)) % 4.04/4.24 (step @p206 :rule cong :premises (@p205 @p201) :args (@t233)) % 4.04/4.24 (step @p61 :rule instantiate :premises (@p5) :args (@t67)) % 4.04/4.24 (step @p207 :rule symm :premises (@p123)) % 4.04/4.24 (step @p208 :rule symm :premises (@p101)) % 4.04/4.24 (step @p209 :rule trans :premises (@p208 @p97)) % 4.04/4.24 (step @p210 :rule cong :premises (@p209 @p112) :args (@t124)) % 4.04/4.24 (step @p211 :rule trans :premises (@p210 @p207)) % 4.04/4.24 (step @p212 :rule cong :premises (@p211 @p195) :args (@t234)) % 4.04/4.24 (step @p213 :rule symm :premises (@p211)) % 4.04/4.24 (step @p214 :rule symm :premises (@p97)) % 4.04/4.24 (step @p215 :rule refl :args (tptp.one)) % 4.04/4.24 (step @p216 :rule symm :premises (@p196)) % 4.04/4.24 (step @p217 :rule cong :premises (@p216 @p215) :args (@t178)) % 4.04/4.24 (step @p218 :rule symm :premises (@p102)) % 4.04/4.24 (step @p219 :rule trans :premises (@p218 @p217 @p214)) % 4.04/4.24 (step @p220 :rule cong :premises (@p209 @p219) :args (@t148)) % 4.04/4.24 (step @p221 :rule symm :premises (@p128)) % 4.04/4.24 (step @p222 :rule symm :premises (@p140)) % 4.04/4.24 (step @p223 :rule cong :premises (@p101 @p132) :args (@t161)) % 4.04/4.24 (step @p224 :rule symm :premises (@p124)) % 4.04/4.24 (step @p225 :rule symm :premises (@p43)) % 4.04/4.24 (step @p226 :rule symm :premises (@p44)) % 4.04/4.24 (step @p227 :rule refl :args (tptp.sigma)) % 4.04/4.24 (step @p228 :rule cong :premises (@p211 @p227) :args (@t125)) % 4.04/4.24 (step @p229 :rule symm :premises (@p135)) % 4.04/4.24 (step @p230 :rule trans :premises (@p229 @p228)) % 4.04/4.24 (step @p231 :rule cong :premises (@p215 @p230) :args (@t102)) % 4.04/4.24 (step @p232 :rule symm :premises (@p141)) % 4.04/4.24 (step @p233 :rule refl :args (@t40)) % 4.04/4.24 (step @p234 :rule cong :premises (@p101 @p227) :args (@t40)) % 4.04/4.24 (step @p235 :rule cong :premises (@p215 @p234) :args (@t51)) % 4.04/4.24 (step @p236 :rule symm :premises (@p32)) % 4.04/4.24 (step @p237 :rule trans :premises (@p236 @p235)) % 4.04/4.24 (step @p238 :rule cong :premises (@p237 @p233) :args (@t235)) % 4.04/4.24 (step @p239 :rule cong :premises (@p32 @p233) :args (@t158)) % 4.04/4.24 (step @p240 :rule trans :premises (@p125 @p239 @p238 @p232 @p231)) % 4.04/4.24 (step @p241 :rule cong :premises (@p112 @p240) :args (@t108)) % 4.04/4.24 (step @p242 :rule trans :premises (@p241 @p226 @p225)) % 4.04/4.24 (step @p243 :rule cong :premises (@p215 @p242) :args (@t236)) % 4.04/4.24 (step @p244 :rule cong :premises (@p215 @p139) :args (@t144)) % 4.04/4.24 (step @p245 :rule symm :premises (@p129)) % 4.04/4.24 (step @p246 :rule trans :premises (@p93 @p89)) % 4.04/4.24 (step @p247 :rule cong :premises (@p246 @p112) :args (@t53)) % 4.04/4.24 (step @p248 :rule trans :premises (@p43 @p247 @p245 @p244 @p243 @p224 @p223)) % 4.04/4.24 (step @p249 :rule cong :premises (@p133 @p248) :args (@t237)) % 4.04/4.24 (step @p250 :rule refl :args (@t43)) % 4.04/4.24 (step @p251 :rule cong :premises (@p250 @p208) :args (@t151)) % 4.04/4.24 (step @p252 :rule cong :premises (@p251 @p112) :args (@t152)) % 4.04/4.24 (step @p253 :rule cong :premises (@p250 @p213) :args (@t59)) % 4.04/4.24 (step @p254 :rule symm :premises (@p78)) % 4.04/4.24 (step @p255 :rule cong :premises (@p208 @p250) :args (@t115)) % 4.04/4.24 (step @p256 :rule trans :premises (@p137 @p255 @p254 @p253 @p127 @p252 @p249 @p222 @p221 @p220 @p207)) % 4.04/4.24 (step @p257 :rule trans :premises (@p256 @p213)) % 4.04/4.24 (step @p258 :rule cong :premises (@p257 @p195) :args (@t238)) % 4.04/4.24 (step @p259 :rule symm :premises (@p137)) % 4.04/4.24 (step @p260 :rule symm :premises (@p255)) % 4.04/4.24 (step @p261 :rule trans :premises (@p78 @p260 @p259)) % 4.04/4.24 (step @p262 :rule cong :premises (@p227 @p225) :args (@t200)) % 4.04/4.24 (step @p263 :rule symm :premises (@p76)) % 4.04/4.24 (step @p264 :rule trans :premises (@p263 @p262)) % 4.04/4.24 (step @p265 :rule cong :premises (@p264 @p112) :args (@t189)) % 4.04/4.24 (step @p266 :rule trans :premises (@p80 @p265)) % 4.04/4.24 (step @p267 :rule trans :premises (@p266 @p261)) % 4.04/4.24 (step @p268 :rule cong :premises (@p267 @p195) :args (@t121)) % 4.04/4.24 (step @p269 :rule symm :premises (@p136)) % 4.04/4.24 (step @p270 :rule trans :premises (@p269 @p268 @p258 @p212 @p61)) % 4.04/4.24 (step @p271 :rule symm :premises (@p205)) % 4.04/4.24 (step @p272 :rule symm :premises (@p77)) % 4.04/4.24 (step @p70 :rule instantiate :premises (@p5) :args (@t73)) % 4.04/4.24 (step @p273 :rule refl :args (@t70)) % 4.04/4.24 (step @p274 :rule cong :premises (@p216 @p273) :args (@t172)) % 4.04/4.24 (step @p275 :rule symm :premises (@p104)) % 4.04/4.24 (step @p276 :rule trans :premises (@p275 @p274 @p70)) % 4.04/4.24 (step @p277 :rule cong :premises (@p276 @p195) :args (@t239)) % 4.04/4.24 (step @p278 :rule refl :args (@t33)) % 4.04/4.24 (step @p279 :rule symm :premises (@p134)) % 4.04/4.24 (step @p280 :rule cong :premises (@p279 @p278) :args (@t135)) % 4.04/4.24 (step @p281 :rule trans :premises (@p131 @p280)) % 4.04/4.24 (step @p282 :rule symm :premises (@p276)) % 4.04/4.24 (step @p283 :rule cong :premises (@p282 @p281) :args (@t98)) % 4.04/4.24 (step @p284 :rule trans :premises (@p283 @p277 @p272)) % 4.04/4.24 (step @p285 :rule trans :premises (@p284 @p271)) % 4.04/4.24 (step @p286 :rule cong :premises (@p285 @p270) :args (@t240)) % 4.04/4.24 (step @p287 :rule symm :premises (@p266)) % 4.04/4.24 (step @p288 :rule cong :premises (@p287 @p195) :args (@t94)) % 4.04/4.24 (step @p289 :rule trans :premises (@p288 @p136)) % 4.04/4.24 (step @p290 :rule refl :args (@t98)) % 4.04/4.24 (step @p291 :rule cong :premises (@p290 @p289) :args (@t112)) % 4.04/4.24 (step @p292 :rule symm :premises (@p138)) % 4.04/4.24 (step @p293 :rule symm :premises (@p284)) % 4.04/4.24 (step @p294 :rule refl :args (@t94)) % 4.04/4.24 (step @p295 :rule cong :premises (@p294 @p293) :args (@t140)) % 4.04/4.24 (step @p296 :rule trans :premises (@p295 @p292 @p291 @p286 @p206 @p200 @p199 @p193)) % 4.04/4.24 (step @p297 :rule true_intro :premises (@p296)) % 4.04/4.24 (step @p298 :rule false_intro :premises (@p31)) % 4.04/4.24 (step @p299 :rule refl :args (@t32)) % 4.04/4.24 (step @p300 :rule cong :premises (@p203 @p299) :args (@t241)) % 4.04/4.24 (step @p301 :rule symm :premises (@p20)) % 4.04/4.24 (step @p302 :rule refl :args (tptp.a)) % 4.04/4.24 (step @p303 :rule symm :premises (@p17)) % 4.04/4.24 (step @p304 :rule cong :premises (@p303 @p302) :args (@t223)) % 4.04/4.24 (step @p305 :rule symm :premises (@p22)) % 4.04/4.24 (step @p306 :rule trans :premises (@p305 @p304)) % 4.04/4.24 (step @p307 :rule refl :args (@t42)) % 4.04/4.24 (step @p308 :rule cong :premises (@p307 @p306) :args (@t217)) % 4.04/4.24 (step @p309 :rule symm :premises (@p33)) % 4.04/4.24 (step @p310 :rule trans :premises (@p309 @p308 @p301)) % 4.04/4.24 (step @p311 :rule cong :premises (@p21 @p310) :args (@t209)) % 4.04/4.24 (step @p312 :rule symm :premises (@p45)) % 4.04/4.24 (step @p313 :rule symm :premises (@p79)) % 4.04/4.24 (step @p314 :rule cong :premises (@p216 @p195) :args (@t175)) % 4.04/4.24 (step @p315 :rule symm :premises (@p103)) % 4.04/4.24 (step @p316 :rule trans :premises (@p315 @p314 @p61)) % 4.04/4.24 (step @p317 :rule cong :premises (@p316 @p194) :args (@t139)) % 4.04/4.24 (step @p318 :rule trans :premises (@p130 @p317 @p313 @p312 @p311 @p300)) % 4.04/4.24 (step @p319 :rule refl :args (@t57)) % 4.04/4.24 (step @p320 :rule cong :premises (@p319 @p316) :args (@t155)) % 4.04/4.24 (step @p321 :rule symm :premises (@p126)) % 4.04/4.24 (step @p322 :rule trans :premises (@p295 @p292 @p321 @p320 @p309 @p308 @p301)) % 4.04/4.24 (step @p323 :rule cong :premises (@p322 @p318) :args (@t231)) % 4.04/4.24 (step @p324 :rule trans :premises (@p323 @p298)) % 4.04/4.24 (step @p325 :rule symm :premises (@p324)) % 4.04/4.24 (step @p326 :rule trans :premises (@p325 @p297)) % 4.04/4.24 (step @p327 false :rule eq_resolve :premises (@p326 @p192)) % 4.04/4.24 (step-pop @p446 :rule scope :premises (@p327)) % 4.04/4.24 (step-pop @p447 :rule scope :premises (@p446)) % 4.04/4.24 (step @p328 :rule process_scope :premises (@p447) :args (false)) % 4.04/4.24 (assume-push @p448 @t29) % 4.04/4.24 (assume-push @p449 @t228) % 4.04/4.24 (assume-push @p450 @t226) % 4.04/4.24 (assume-push @p451 @t224) % 4.04/4.24 (assume-push @p452 @t39) % 4.04/4.24 (assume-push @p453 @t221) % 4.04/4.24 (assume-push @p454 @t218) % 4.04/4.24 (assume-push @p455 @t47) % 4.04/4.24 (assume-push @p456 @t54) % 4.04/4.24 (assume-push @p457 @t212) % 4.04/4.24 (assume-push @p458 @t210) % 4.04/4.24 (assume-push @p459 @t62) % 4.04/4.24 (assume-push @p460 @t205) % 4.04/4.24 (assume-push @p461 @t68) % 4.04/4.24 (assume-push @p462 @t74) % 4.04/4.24 (assume-push @p463 @t201) % 4.04/4.24 (assume-push @p464 @t198) % 4.04/4.24 (assume-push @p465 @t196) % 4.04/4.24 (assume-push @p466 @t194) % 4.04/4.24 (assume-push @p467 @t190) % 4.04/4.24 (assume-push @p468 @t82) % 4.04/4.24 (assume-push @p469 @t185) % 4.04/4.24 (assume-push @p470 @t183) % 4.04/4.24 (assume-push @p471 @t181) % 4.04/4.24 (assume-push @p472 @t179) % 4.04/4.24 (assume-push @p473 @t176) % 4.04/4.24 (assume-push @p474 @t173) % 4.04/4.24 (assume-push @p475 @t169) % 4.04/4.24 (assume-push @p476 @t91) % 4.04/4.24 (assume-push @p477 @t162) % 4.04/4.24 (assume-push @p478 @t159) % 4.04/4.24 (assume-push @p479 @t156) % 4.04/4.24 (assume-push @p480 @t153) % 4.04/4.24 (assume-push @p481 @t149) % 4.04/4.24 (assume-push @p482 @t145) % 4.04/4.24 (assume-push @p483 @t142) % 4.04/4.24 (assume-push @p484 @t136) % 4.04/4.24 (assume-push @p485 @t133) % 4.04/4.24 (assume-push @p486 @t131) % 4.04/4.24 (assume-push @p487 @t129) % 4.04/4.24 (assume-push @p488 @t126) % 4.04/4.24 (assume-push @p489 @t122) % 4.04/4.24 (assume-push @p490 @t117) % 4.04/4.24 (assume-push @p491 @t113) % 4.04/4.24 (assume-push @p492 @t110) % 4.04/4.24 (assume-push @p493 @t106) % 4.04/4.24 (assume-push @p494 @t103) % 4.04/4.24 (step @p193 :rule symm :premises (@p130)) % 4.04/4.24 (step @p194 :rule refl :args (@t75)) % 4.04/4.24 (step @p195 :rule refl :args (@t34)) % 4.04/4.24 (step @p196 :rule trans :premises (@p38 @p55)) % 4.04/4.24 (step @p197 :rule cong :premises (@p196 @p195) :args (@t65)) % 4.04/4.24 (step @p198 :rule trans :premises (@p66 @p197 @p103)) % 4.04/4.24 (step @p199 :rule cong :premises (@p198 @p194) :args (@t192)) % 4.04/4.24 (step @p201 :rule refl :args (@t58)) % 4.04/4.24 (step @p202 :rule symm :premises (@p56)) % 4.04/4.24 (step @p203 :rule symm :premises (@p21)) % 4.04/4.24 (step @p204 :rule cong :premises (@p203 @p202) :args (@t167)) % 4.04/4.24 (step @p205 :rule trans :premises (@p105 @p204)) % 4.04/4.24 (step @p206 :rule cong :premises (@p205 @p201) :args (@t233)) % 4.04/4.24 (step @p61 :rule instantiate :premises (@p5) :args (@t67)) % 4.04/4.24 (step @p207 :rule symm :premises (@p123)) % 4.04/4.24 (step @p208 :rule symm :premises (@p101)) % 4.04/4.24 (step @p209 :rule trans :premises (@p208 @p97)) % 4.04/4.24 (step @p210 :rule cong :premises (@p209 @p112) :args (@t124)) % 4.04/4.24 (step @p211 :rule trans :premises (@p210 @p207)) % 4.04/4.24 (step @p212 :rule cong :premises (@p211 @p195) :args (@t234)) % 4.04/4.24 (step @p213 :rule symm :premises (@p211)) % 4.04/4.24 (step @p214 :rule symm :premises (@p97)) % 4.04/4.24 (step @p215 :rule refl :args (tptp.one)) % 4.04/4.24 (step @p216 :rule symm :premises (@p196)) % 4.04/4.24 (step @p217 :rule cong :premises (@p216 @p215) :args (@t178)) % 4.04/4.24 (step @p218 :rule symm :premises (@p102)) % 4.04/4.24 (step @p219 :rule trans :premises (@p218 @p217 @p214)) % 4.04/4.24 (step @p220 :rule cong :premises (@p209 @p219) :args (@t148)) % 4.04/4.24 (step @p221 :rule symm :premises (@p128)) % 4.04/4.24 (step @p222 :rule symm :premises (@p140)) % 4.04/4.24 (step @p223 :rule cong :premises (@p101 @p132) :args (@t161)) % 4.04/4.24 (step @p224 :rule symm :premises (@p124)) % 4.04/4.24 (step @p225 :rule symm :premises (@p43)) % 4.04/4.24 (step @p226 :rule symm :premises (@p44)) % 4.04/4.24 (step @p227 :rule refl :args (tptp.sigma)) % 4.04/4.24 (step @p228 :rule cong :premises (@p211 @p227) :args (@t125)) % 4.04/4.24 (step @p229 :rule symm :premises (@p135)) % 4.04/4.24 (step @p230 :rule trans :premises (@p229 @p228)) % 4.04/4.24 (step @p231 :rule cong :premises (@p215 @p230) :args (@t102)) % 4.04/4.24 (step @p232 :rule symm :premises (@p141)) % 4.04/4.24 (step @p233 :rule refl :args (@t40)) % 4.04/4.24 (step @p234 :rule cong :premises (@p101 @p227) :args (@t40)) % 4.04/4.24 (step @p235 :rule cong :premises (@p215 @p234) :args (@t51)) % 4.04/4.24 (step @p236 :rule symm :premises (@p32)) % 4.04/4.24 (step @p237 :rule trans :premises (@p236 @p235)) % 4.04/4.24 (step @p238 :rule cong :premises (@p237 @p233) :args (@t235)) % 4.04/4.24 (step @p239 :rule cong :premises (@p32 @p233) :args (@t158)) % 4.04/4.24 (step @p240 :rule trans :premises (@p125 @p239 @p238 @p232 @p231)) % 4.04/4.24 (step @p241 :rule cong :premises (@p112 @p240) :args (@t108)) % 4.04/4.24 (step @p242 :rule trans :premises (@p241 @p226 @p225)) % 4.04/4.24 (step @p243 :rule cong :premises (@p215 @p242) :args (@t236)) % 4.04/4.24 (step @p244 :rule cong :premises (@p215 @p139) :args (@t144)) % 4.04/4.24 (step @p245 :rule symm :premises (@p129)) % 4.04/4.24 (step @p246 :rule trans :premises (@p93 @p89)) % 4.04/4.24 (step @p247 :rule cong :premises (@p246 @p112) :args (@t53)) % 4.04/4.24 (step @p248 :rule trans :premises (@p43 @p247 @p245 @p244 @p243 @p224 @p223)) % 4.04/4.24 (step @p249 :rule cong :premises (@p133 @p248) :args (@t237)) % 4.04/4.24 (step @p250 :rule refl :args (@t43)) % 4.04/4.24 (step @p251 :rule cong :premises (@p250 @p208) :args (@t151)) % 4.04/4.24 (step @p252 :rule cong :premises (@p251 @p112) :args (@t152)) % 4.04/4.24 (step @p253 :rule cong :premises (@p250 @p213) :args (@t59)) % 4.04/4.24 (step @p254 :rule symm :premises (@p78)) % 4.04/4.24 (step @p255 :rule cong :premises (@p208 @p250) :args (@t115)) % 4.04/4.24 (step @p256 :rule trans :premises (@p137 @p255 @p254 @p253 @p127 @p252 @p249 @p222 @p221 @p220 @p207)) % 4.04/4.24 (step @p257 :rule trans :premises (@p256 @p213)) % 4.04/4.24 (step @p258 :rule cong :premises (@p257 @p195) :args (@t238)) % 4.04/4.24 (step @p259 :rule symm :premises (@p137)) % 4.04/4.24 (step @p260 :rule symm :premises (@p255)) % 4.04/4.24 (step @p261 :rule trans :premises (@p78 @p260 @p259)) % 4.04/4.24 (step @p262 :rule cong :premises (@p227 @p225) :args (@t200)) % 4.04/4.24 (step @p263 :rule symm :premises (@p76)) % 4.04/4.24 (step @p264 :rule trans :premises (@p263 @p262)) % 4.04/4.24 (step @p265 :rule cong :premises (@p264 @p112) :args (@t189)) % 4.04/4.24 (step @p266 :rule trans :premises (@p80 @p265)) % 4.04/4.24 (step @p267 :rule trans :premises (@p266 @p261)) % 4.04/4.24 (step @p268 :rule cong :premises (@p267 @p195) :args (@t121)) % 4.04/4.24 (step @p269 :rule symm :premises (@p136)) % 4.04/4.24 (step @p270 :rule trans :premises (@p269 @p268 @p258 @p212 @p61)) % 4.04/4.24 (step @p271 :rule symm :premises (@p205)) % 4.04/4.24 (step @p272 :rule symm :premises (@p77)) % 4.04/4.24 (step @p70 :rule instantiate :premises (@p5) :args (@t73)) % 4.04/4.24 (step @p273 :rule refl :args (@t70)) % 4.04/4.24 (step @p274 :rule cong :premises (@p216 @p273) :args (@t172)) % 4.04/4.24 (step @p275 :rule symm :premises (@p104)) % 4.04/4.24 (step @p276 :rule trans :premises (@p275 @p274 @p70)) % 4.04/4.24 (step @p277 :rule cong :premises (@p276 @p195) :args (@t239)) % 4.04/4.24 (step @p278 :rule refl :args (@t33)) % 4.04/4.24 (step @p279 :rule symm :premises (@p134)) % 4.04/4.24 (step @p280 :rule cong :premises (@p279 @p278) :args (@t135)) % 4.04/4.24 (step @p281 :rule trans :premises (@p131 @p280)) % 4.04/4.24 (step @p282 :rule symm :premises (@p276)) % 4.04/4.24 (step @p283 :rule cong :premises (@p282 @p281) :args (@t98)) % 4.04/4.24 (step @p284 :rule trans :premises (@p283 @p277 @p272)) % 4.04/4.24 (step @p285 :rule trans :premises (@p284 @p271)) % 4.04/4.24 (step @p286 :rule cong :premises (@p285 @p270) :args (@t240)) % 4.04/4.24 (step @p287 :rule symm :premises (@p266)) % 4.04/4.24 (step @p288 :rule cong :premises (@p287 @p195) :args (@t94)) % 4.04/4.24 (step @p289 :rule trans :premises (@p288 @p136)) % 4.04/4.24 (step @p290 :rule refl :args (@t98)) % 4.04/4.24 (step @p291 :rule cong :premises (@p290 @p289) :args (@t112)) % 4.04/4.24 (step @p292 :rule symm :premises (@p138)) % 4.04/4.24 (step @p293 :rule symm :premises (@p284)) % 4.04/4.24 (step @p294 :rule refl :args (@t94)) % 4.04/4.24 (step @p295 :rule cong :premises (@p294 @p293) :args (@t140)) % 4.04/4.24 (step @p378 :rule trans :premises (@p295 @p292 @p291 @p286 @p206 @p79 @p199 @p193)) % 4.04/4.24 (step @p298 :rule false_intro :premises (@p31)) % 4.04/4.24 (step @p299 :rule refl :args (@t32)) % 4.04/4.24 (step @p300 :rule cong :premises (@p203 @p299) :args (@t241)) % 4.04/4.24 (step @p301 :rule symm :premises (@p20)) % 4.04/4.24 (step @p302 :rule refl :args (tptp.a)) % 4.04/4.24 (step @p303 :rule symm :premises (@p17)) % 4.04/4.24 (step @p304 :rule cong :premises (@p303 @p302) :args (@t223)) % 4.04/4.24 (step @p305 :rule symm :premises (@p22)) % 4.04/4.24 (step @p306 :rule trans :premises (@p305 @p304)) % 4.04/4.24 (step @p307 :rule refl :args (@t42)) % 4.04/4.24 (step @p308 :rule cong :premises (@p307 @p306) :args (@t217)) % 4.04/4.24 (step @p309 :rule symm :premises (@p33)) % 4.04/4.24 (step @p310 :rule trans :premises (@p309 @p308 @p301)) % 4.04/4.24 (step @p311 :rule cong :premises (@p21 @p310) :args (@t209)) % 4.04/4.24 (step @p312 :rule symm :premises (@p45)) % 4.04/4.24 (step @p313 :rule symm :premises (@p79)) % 4.04/4.24 (step @p314 :rule cong :premises (@p216 @p195) :args (@t175)) % 4.04/4.24 (step @p315 :rule symm :premises (@p103)) % 4.04/4.24 (step @p316 :rule trans :premises (@p315 @p314 @p61)) % 4.04/4.24 (step @p317 :rule cong :premises (@p316 @p194) :args (@t139)) % 4.04/4.24 (step @p318 :rule trans :premises (@p130 @p317 @p313 @p312 @p311 @p300)) % 4.04/4.24 (step @p319 :rule refl :args (@t57)) % 4.04/4.24 (step @p320 :rule cong :premises (@p319 @p316) :args (@t155)) % 4.04/4.24 (step @p321 :rule symm :premises (@p126)) % 4.04/4.24 (step @p322 :rule trans :premises (@p295 @p292 @p321 @p320 @p309 @p308 @p301)) % 4.04/4.24 (step @p323 :rule cong :premises (@p322 @p318) :args (@t231)) % 4.04/4.24 (step @p379 :rule trans :premises (@p323 @p298)) % 4.04/4.24 (step @p380 :rule false_elim :premises (@p379)) % 4.04/4.24 (step @p381 :rule and_intro :premises (@p380 @p378)) % 4.04/4.24 (step-pop @p495 :rule scope :premises (@p381)) % 4.04/4.24 (step-pop @p496 :rule scope :premises (@p495)) % 4.04/4.24 (step-pop @p497 :rule scope :premises (@p496)) % 4.04/4.24 (step-pop @p498 :rule scope :premises (@p497)) % 4.04/4.24 (step-pop @p499 :rule scope :premises (@p498)) % 4.04/4.24 (step-pop @p500 :rule scope :premises (@p499)) % 4.04/4.24 (step-pop @p501 :rule scope :premises (@p500)) % 4.04/4.24 (step-pop @p502 :rule scope :premises (@p501)) % 4.04/4.24 (step-pop @p503 :rule scope :premises (@p502)) % 4.04/4.24 (step-pop @p504 :rule scope :premises (@p503)) % 4.04/4.24 (step-pop @p505 :rule scope :premises (@p504)) % 4.04/4.24 (step-pop @p506 :rule scope :premises (@p505)) % 4.04/4.24 (step-pop @p507 :rule scope :premises (@p506)) % 4.04/4.24 (step-pop @p508 :rule scope :premises (@p507)) % 4.04/4.24 (step-pop @p509 :rule scope :premises (@p508)) % 4.04/4.24 (step-pop @p510 :rule scope :premises (@p509)) % 4.04/4.24 (step-pop @p511 :rule scope :premises (@p510)) % 4.04/4.24 (step-pop @p512 :rule scope :premises (@p511)) % 4.04/4.24 (step-pop @p513 :rule scope :premises (@p512)) % 4.04/4.24 (step-pop @p514 :rule scope :premises (@p513)) % 4.04/4.24 (step-pop @p515 :rule scope :premises (@p514)) % 4.04/4.24 (step-pop @p516 :rule scope :premises (@p515)) % 4.04/4.24 (step-pop @p517 :rule scope :premises (@p516)) % 4.04/4.24 (step-pop @p518 :rule scope :premises (@p517)) % 4.04/4.24 (step-pop @p519 :rule scope :premises (@p518)) % 4.04/4.24 (step-pop @p520 :rule scope :premises (@p519)) % 4.04/4.24 (step-pop @p521 :rule scope :premises (@p520)) % 4.04/4.24 (step-pop @p522 :rule scope :premises (@p521)) % 4.04/4.24 (step-pop @p523 :rule scope :premises (@p522)) % 4.04/4.24 (step-pop @p524 :rule scope :premises (@p523)) % 4.04/4.24 (step-pop @p525 :rule scope :premises (@p524)) % 4.04/4.24 (step-pop @p526 :rule scope :premises (@p525)) % 4.04/4.24 (step-pop @p527 :rule scope :premises (@p526)) % 4.04/4.24 (step-pop @p528 :rule scope :premises (@p527)) % 4.04/4.24 (step-pop @p529 :rule scope :premises (@p528)) % 4.04/4.24 (step-pop @p530 :rule scope :premises (@p529)) % 4.04/4.24 (step-pop @p531 :rule scope :premises (@p530)) % 4.04/4.24 (step-pop @p532 :rule scope :premises (@p531)) % 4.04/4.24 (step-pop @p533 :rule scope :premises (@p532)) % 4.04/4.24 (step-pop @p534 :rule scope :premises (@p533)) % 4.04/4.24 (step-pop @p535 :rule scope :premises (@p534)) % 4.04/4.24 (step-pop @p536 :rule scope :premises (@p535)) % 4.04/4.24 (step-pop @p537 :rule scope :premises (@p536)) % 4.04/4.24 (step-pop @p538 :rule scope :premises (@p537)) % 4.04/4.24 (step-pop @p539 :rule scope :premises (@p538)) % 4.04/4.24 (step-pop @p540 :rule scope :premises (@p539)) % 4.04/4.24 (step-pop @p541 :rule scope :premises (@p540)) % 4.04/4.24 (step @p382 :rule process_scope :premises (@p541) :args (@t242)) % 4.04/4.24 (step @p430 :rule implies_elim :premises (@p382)) % 4.04/4.24 (step @p431 :rule resolution :premises (@p430 @p328) :args (true @t242)) % 4.04/4.24 (step @p432 :rule not_and :premises (@p431)) % 4.04/4.24 (step @p433 :rule eq_resolve :premises (@p432 @p189)) % 4.04/4.24 (step @p434 :rule reordering :premises (@p433) :args ((or @t230 @t37 @t229 @t227 @t225 @t222 @t219 @t215 @t214 @t213 @t211 @t207 @t206 @t204 @t203 @t202 @t199 @t197 @t195 @t191 @t187 @t186 @t184 @t182 @t180 @t177 @t174 @t170 @t164 @t163 @t160 @t157 @t154 @t150 @t146 @t143 @t137 @t134 @t132 @t130 @t127 @t123 @t118 @t114 @t111 @t107 @t104))) % 4.04/4.24 (step @p435 false :rule chain_m_resolution :premises (@p434 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p105 @p104 @p103 @p102 @p101 @p97 @p93 @p89 @p80 @p79 @p78 @p77 @p76 @p75 @p66 @p56 @p55 @p45 @p44 @p43 @p38 @p33 @p32 @p31 @p22 @p21 @p20 @p17) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false false false false) (@list @t103 @t106 @t110 @t113 @t117 @t122 @t126 @t129 @t131 @t133 @t136 @t142 @t145 @t149 @t153 @t156 @t159 @t162 @t91 @t169 @t173 @t176 @t179 @t181 @t183 @t185 @t82 @t190 @t194 @t196 @t198 @t201 @t74 @t68 @t205 @t62 @t210 @t212 @t54 @t47 @t218 @t221 @t37 @t224 @t226 @t228 @t29))) % 4.04/4.26 ) % 4.04/4.26 % SZS output end Proof % 4.04/4.26 % cvc5 exiting %------------------------------------------------------------------------------