%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL031+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:45:00 AM UTC 2026 % Result : Theorem 162.83s 163.11s % Output : Proof 162.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : REL031+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:42:39 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 162.83/163.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 162.83/163.11 --- Run --no-e-matching --full-saturate-quant at 6... % 162.83/163.11 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 162.83/163.11 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 162.83/163.11 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 162.83/163.11 --- Run --trigger-sel=max --full-saturate-quant at 15... % 162.83/163.11 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 162.83/163.11 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 162.83/163.11 --- Run --prenex-quant=none --full-saturate-quant at 30... % 162.83/163.11 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 162.83/163.11 % SZS status Theorem % 162.83/163.11 % SZS output start Proof % 162.83/163.11 ( % 162.83/163.11 (declare-sort $$unsorted 0) % 162.83/163.11 (declare-const tptp.top $$unsorted) % 162.83/163.11 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 162.83/163.11 (declare-const tptp.one $$unsorted) % 162.83/163.11 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 162.83/163.11 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 162.83/163.11 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 162.83/163.11 (declare-const tptp.zero $$unsorted) % 162.83/163.11 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 162.83/163.11 (define @t1 () (@var "X0" $$unsorted)) % 162.83/163.11 (define @t2 () (@var "X1" $$unsorted)) % 162.83/163.11 (define @t3 () (tptp.join @t1 @t2)) % 162.83/163.11 (define @t4 () (@list @t1 @t2)) % 162.83/163.11 (define @t5 () (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 162.83/163.11 (define @t6 () (@var "X2" $$unsorted)) % 162.83/163.11 (define @t7 () (@list @t1 @t2 @t6)) % 162.83/163.11 (define @t8 () (tptp.complement @t1)) % 162.83/163.11 (define @t9 () (tptp.complement @t2)) % 162.83/163.11 (define @t10 () (tptp.complement (tptp.join @t8 @t9))) % 162.83/163.11 (define @t11 () (tptp.meet @t1 @t2)) % 162.83/163.11 (define @t12 () (forall @t4 (= @t11 @t10))) % 162.83/163.11 (define @t13 () (tptp.composition @t1 @t2)) % 162.83/163.11 (define @t14 () (tptp.composition @t2 @t6)) % 162.83/163.11 (define @t15 () (tptp.composition @t1 tptp.one)) % 162.83/163.11 (define @t16 () (@list @t1)) % 162.83/163.11 (define @t17 () (forall @t16 (= @t15 @t1))) % 162.83/163.11 (define @t18 () (forall @t7 (= (tptp.composition @t3 @t6) (tptp.join (tptp.composition @t1 @t6) @t14)))) % 162.83/163.11 (define @t19 () (tptp.converse @t1)) % 162.83/163.11 (define @t20 () (tptp.converse @t19)) % 162.83/163.11 (define @t21 () (forall @t16 (= @t20 @t1))) % 162.83/163.11 (define @t22 () (tptp.converse @t2)) % 162.83/163.11 (define @t23 () (forall @t4 (= (tptp.converse @t3) (tptp.join @t19 @t22)))) % 162.83/163.11 (define @t24 () (tptp.converse @t13)) % 162.83/163.11 (define @t25 () (forall @t4 (= @t24 (tptp.composition @t22 @t19)))) % 162.83/163.11 (define @t26 () (tptp.join (tptp.composition @t19 (tptp.complement @t13)) @t9)) % 162.83/163.11 (define @t27 () (forall @t4 (= @t26 @t9))) % 162.83/163.11 (define @t28 () (tptp.meet @t2 (tptp.composition @t19 @t6))) % 162.83/163.11 (define @t29 () (tptp.meet @t1 (tptp.composition @t6 @t22))) % 162.83/163.11 (define @t30 () (tptp.composition @t29 @t28)) % 162.83/163.11 (define @t31 () (tptp.meet @t13 @t6)) % 162.83/163.11 (define @t32 () (tptp.meet (tptp.composition @t1 @t28) @t6)) % 162.83/163.11 (define @t33 () (tptp.meet (tptp.composition @t29 @t2) @t6)) % 162.83/163.11 (define @t34 () (tptp.join @t31 @t33)) % 162.83/163.11 (define @t35 () (forall @t7 (= @t34 @t33))) % 162.83/163.11 (define @t36 () (tptp.join (tptp.composition @t24 @t13) tptp.one)) % 162.83/163.11 (define @t37 () (tptp.join (tptp.composition @t22 @t2) tptp.one)) % 162.83/163.11 (define @t38 () (tptp.join (tptp.composition @t19 @t1) tptp.one)) % 162.83/163.11 (define @t39 () (and (= @t38 tptp.one) (= @t37 tptp.one))) % 162.83/163.11 (define @t40 () (=> @t39 (= @t36 tptp.one))) % 162.83/163.11 (define @t41 () (forall @t4 @t40)) % 162.83/163.11 (define @t42 () (not @t41)) % 162.83/163.11 (define @t43 () (= tptp.one @t36)) % 162.83/163.11 (define @t44 () (= tptp.one @t37)) % 162.83/163.11 (define @t45 () (not @t44)) % 162.83/163.11 (define @t46 () (= tptp.one @t38)) % 162.83/163.11 (define @t47 () (not @t46)) % 162.83/163.11 (define @t48 () (or @t47 @t45 @t43)) % 162.83/163.11 (define @t49 () (and @t46 @t44)) % 162.83/163.11 (define @t50 () (forall @t4 @t48)) % 162.83/163.11 (define @t51 () (@quantifiers_skolemize @t50 0)) % 162.83/163.11 (define @t52 () (tptp.converse @t51)) % 162.83/163.11 (define @t53 () (tptp.composition @t52 @t51)) % 162.83/163.11 (define @t54 () (tptp.join @t53 tptp.one)) % 162.83/163.11 (define @t55 () (= tptp.one @t54)) % 162.83/163.11 (define @t56 () (@quantifiers_skolemize @t50 1)) % 162.83/163.11 (define @t57 () (tptp.composition @t51 @t56)) % 162.83/163.11 (define @t58 () (tptp.converse @t57)) % 162.83/163.11 (define @t59 () (tptp.composition @t58 @t57)) % 162.83/163.11 (define @t60 () (= tptp.one (tptp.join @t59 tptp.one))) % 162.83/163.11 (define @t61 () (tptp.converse @t56)) % 162.83/163.11 (define @t62 () (tptp.composition @t61 @t56)) % 162.83/163.11 (define @t63 () (tptp.join @t62 tptp.one)) % 162.83/163.11 (define @t64 () (= tptp.one @t63)) % 162.83/163.11 (define @t65 () (not @t64)) % 162.83/163.11 (define @t66 () (not @t55)) % 162.83/163.11 (define @t67 () (or @t66 @t65 @t60)) % 162.83/163.11 (define @t68 () (@list true)) % 162.83/163.11 (define @t69 () (@list @t67)) % 162.83/163.11 (define @t70 () (tptp.join tptp.one @t53)) % 162.83/163.11 (define @t71 () (= @t70 @t54)) % 162.83/163.11 (define @t72 () (= @t54 @t70)) % 162.83/163.11 (define @t73 () (@list false)) % 162.83/163.11 (define @t74 () (@list @t5)) % 162.83/163.11 (define @t75 () (@list tptp.one tptp.one)) % 162.83/163.11 (define @t76 () (@list tptp.one)) % 162.83/163.11 (define @t77 () (tptp.complement tptp.one)) % 162.83/163.11 (define @t78 () (tptp.join tptp.one @t77)) % 162.83/163.11 (define @t79 () (tptp.join @t77 tptp.one)) % 162.83/163.11 (define @t80 () (= @t78 @t79)) % 162.83/163.11 (define @t81 () (@list tptp.one @t77)) % 162.83/163.11 (define @t82 () (= @t79 @t78)) % 162.83/163.11 (define @t83 () (tptp.converse tptp.one)) % 162.83/163.11 (define @t84 () (tptp.composition tptp.one @t83)) % 162.83/163.11 (define @t85 () (tptp.meet tptp.one @t84)) % 162.83/163.11 (define @t86 () (tptp.join @t62 @t59)) % 162.83/163.11 (define @t87 () (tptp.join @t59 @t62)) % 162.83/163.11 (define @t88 () (= @t86 @t87)) % 162.83/163.11 (define @t89 () (@list @t62 @t59)) % 162.83/163.11 (define @t90 () (= @t87 @t86)) % 162.83/163.11 (define @t91 () (tptp.join @t77 @t77)) % 162.83/163.11 (define @t92 () (tptp.complement @t91)) % 162.83/163.11 (define @t93 () (tptp.complement @t79)) % 162.83/163.11 (define @t94 () (tptp.join @t93 @t92)) % 162.83/163.11 (define @t95 () (tptp.join @t92 @t93)) % 162.83/163.11 (define @t96 () (= @t94 @t95)) % 162.83/163.11 (define @t97 () (@list @t93 @t92)) % 162.83/163.11 (define @t98 () (= @t95 @t94)) % 162.83/163.11 (define @t99 () (tptp.composition tptp.one tptp.one)) % 162.83/163.11 (define @t100 () (tptp.meet @t99 tptp.one)) % 162.83/163.11 (define @t101 () (tptp.composition @t85 tptp.one)) % 162.83/163.11 (define @t102 () (tptp.meet @t101 tptp.one)) % 162.83/163.11 (define @t103 () (tptp.join @t102 @t100)) % 162.83/163.11 (define @t104 () (tptp.join @t100 @t102)) % 162.83/163.11 (define @t105 () (= @t103 @t104)) % 162.83/163.11 (define @t106 () (@list @t102 @t100)) % 162.83/163.11 (define @t107 () (= @t104 @t103)) % 162.83/163.11 (define @t108 () (tptp.complement @t101)) % 162.83/163.11 (define @t109 () (tptp.join @t108 @t77)) % 162.83/163.11 (define @t110 () (tptp.complement @t109)) % 162.83/163.11 (define @t111 () (forall @t4 (= @t10 @t11))) % 162.83/163.11 (define @t112 () (= @t110 @t102)) % 162.83/163.11 (define @t113 () (@list @t101 tptp.one)) % 162.83/163.11 (define @t114 () (= @t102 @t110)) % 162.83/163.11 (define @t115 () (tptp.join @t61 @t61)) % 162.83/163.11 (define @t116 () (tptp.composition @t115 @t56)) % 162.83/163.11 (define @t117 () (tptp.join @t62 @t62)) % 162.83/163.11 (define @t118 () (= @t116 @t117)) % 162.83/163.11 (define @t119 () (= @t117 @t116)) % 162.83/163.11 (define @t120 () (tptp.composition @t58 @t51)) % 162.83/163.11 (define @t121 () (@list @t79)) % 162.83/163.11 (define @t122 () (@list tptp.one @t79)) % 162.83/163.11 (define @t123 () (tptp.converse @t79)) % 162.83/163.11 (define @t124 () (tptp.composition @t79 @t83)) % 162.83/163.11 (define @t125 () (tptp.meet tptp.one @t124)) % 162.83/163.11 (define @t126 () (tptp.join @t93 @t79)) % 162.83/163.11 (define @t127 () (tptp.join @t79 @t93)) % 162.83/163.11 (define @t128 () (= @t126 @t127)) % 162.83/163.11 (define @t129 () (@list @t93 @t79)) % 162.83/163.11 (define @t130 () (= @t127 @t126)) % 162.83/163.11 (define @t131 () (tptp.join @t92 @t117)) % 162.83/163.11 (define @t132 () (tptp.join @t117 @t92)) % 162.83/163.11 (define @t133 () (= @t131 @t132)) % 162.83/163.11 (define @t134 () (= @t132 @t131)) % 162.83/163.11 (define @t135 () (tptp.join @t79 @t92)) % 162.83/163.11 (define @t136 () (tptp.join @t92 @t79)) % 162.83/163.11 (define @t137 () (= @t135 @t136)) % 162.83/163.11 (define @t138 () (= @t136 @t135)) % 162.83/163.11 (define @t139 () (tptp.join @t92 @t91)) % 162.83/163.11 (define @t140 () (tptp.join @t91 @t92)) % 162.83/163.11 (define @t141 () (= @t139 @t140)) % 162.83/163.11 (define @t142 () (= @t140 @t139)) % 162.83/163.11 (define @t143 () (tptp.join @t61 @t120)) % 162.83/163.11 (define @t144 () (tptp.join @t120 @t61)) % 162.83/163.11 (define @t145 () (= @t143 @t144)) % 162.83/163.11 (define @t146 () (@list @t61 @t120)) % 162.83/163.11 (define @t147 () (= @t144 @t143)) % 162.83/163.11 (define @t148 () (tptp.join @t92 @t87)) % 162.83/163.11 (define @t149 () (tptp.join @t87 @t92)) % 162.83/163.11 (define @t150 () (= @t148 @t149)) % 162.83/163.11 (define @t151 () (@list @t92 @t87)) % 162.83/163.11 (define @t152 () (= @t149 @t148)) % 162.83/163.11 (define @t153 () (tptp.composition tptp.one @t79)) % 162.83/163.11 (define @t154 () (tptp.composition @t83 (tptp.complement @t153))) % 162.83/163.11 (define @t155 () (tptp.join @t93 @t154)) % 162.83/163.11 (define @t156 () (tptp.join @t154 @t93)) % 162.83/163.11 (define @t157 () (= @t155 @t156)) % 162.83/163.11 (define @t158 () (@list @t93 @t154)) % 162.83/163.11 (define @t159 () (= @t156 @t155)) % 162.83/163.11 (define @t160 () (tptp.complement @t77)) % 162.83/163.11 (define @t161 () (tptp.converse (tptp.join @t56 @t56))) % 162.83/163.11 (define @t162 () (= @t161 @t115)) % 162.83/163.11 (define @t163 () (@list @t56 @t56)) % 162.83/163.11 (define @t164 () (= @t115 @t161)) % 162.83/163.11 (define @t165 () (tptp.join @t108 tptp.one)) % 162.83/163.11 (define @t166 () (tptp.complement @t165)) % 162.83/163.11 (define @t167 () (tptp.join tptp.one @t92)) % 162.83/163.11 (define @t168 () (tptp.join @t154 @t92)) % 162.83/163.11 (define @t169 () (tptp.join @t92 @t154)) % 162.83/163.11 (define @t170 () (= @t168 @t169)) % 162.83/163.11 (define @t171 () (= @t169 @t168)) % 162.83/163.11 (define @t172 () (@list @t56)) % 162.83/163.11 (define @t173 () (tptp.join tptp.one tptp.one)) % 162.83/163.11 (define @t174 () (tptp.composition tptp.one @t56)) % 162.83/163.11 (define @t175 () (tptp.converse @t174)) % 162.83/163.11 (define @t176 () (tptp.composition @t61 @t83)) % 162.83/163.11 (define @t177 () (= @t175 @t176)) % 162.83/163.11 (define @t178 () (@list tptp.one @t56)) % 162.83/163.11 (define @t179 () (= @t176 @t175)) % 162.83/163.11 (define @t180 () (tptp.composition @t52 @t57)) % 162.83/163.11 (define @t181 () (tptp.join @t117 tptp.one)) % 162.83/163.11 (define @t182 () (= (tptp.join @t62 @t63) @t181)) % 162.83/163.11 (define @t183 () (tptp.join @t59 @t63)) % 162.83/163.11 (define @t184 () (= @t183 (tptp.join @t87 tptp.one))) % 162.83/163.11 (define @t185 () (tptp.composition @t120 @t56)) % 162.83/163.11 (define @t186 () (= @t59 @t185)) % 162.83/163.11 (define @t187 () (tptp.composition @t61 @t52)) % 162.83/163.11 (define @t188 () (= @t58 @t187)) % 162.83/163.11 (define @t189 () (= tptp.one @t95)) % 162.83/163.11 (define @t190 () (tptp.meet tptp.one tptp.one)) % 162.83/163.11 (define @t191 () (= @t92 @t190)) % 162.83/163.11 (define @t192 () (= tptp.one @t99)) % 162.83/163.11 (define @t193 () (tptp.converse @t83)) % 162.83/163.11 (define @t194 () (= tptp.one @t193)) % 162.83/163.11 (define @t195 () (tptp.converse @t173)) % 162.83/163.11 (define @t196 () (= @t195 (tptp.join @t83 @t83))) % 162.83/163.11 (define @t197 () (= tptp.top @t78)) % 162.83/163.11 (define @t198 () (= @t102 @t104)) % 162.83/163.11 (define @t199 () (tptp.composition @t83 tptp.one)) % 162.83/163.11 (define @t200 () (= @t83 @t199)) % 162.83/163.11 (define @t201 () (= @t85 @t101)) % 162.83/163.11 (define @t202 () (tptp.converse @t199)) % 162.83/163.11 (define @t203 () (= @t202 (tptp.composition @t83 @t193))) % 162.83/163.11 (define @t204 () (tptp.complement @t136)) % 162.83/163.11 (define @t205 () (tptp.complement @t95)) % 162.83/163.11 (define @t206 () (tptp.join @t205 @t204)) % 162.83/163.11 (define @t207 () (= @t91 @t206)) % 162.83/163.11 (define @t208 () (tptp.join @t185 @t62)) % 162.83/163.11 (define @t209 () (= (tptp.composition @t144 @t56) @t208)) % 162.83/163.11 (define @t210 () (= tptp.top @t127)) % 162.83/163.11 (define @t211 () (= tptp.top @t140)) % 162.83/163.11 (define @t212 () (= @t79 (tptp.composition @t79 tptp.one))) % 162.83/163.11 (define @t213 () (tptp.join @t79 tptp.one)) % 162.83/163.11 (define @t214 () (tptp.join tptp.one @t79)) % 162.83/163.11 (define @t215 () (= @t214 @t213)) % 162.83/163.11 (define @t216 () (tptp.join @t77 @t79)) % 162.83/163.11 (define @t217 () (tptp.join @t77 @t93)) % 162.83/163.11 (define @t218 () (tptp.complement @t217)) % 162.83/163.11 (define @t219 () (tptp.join @t218 (tptp.complement @t216))) % 162.83/163.11 (define @t220 () (= tptp.one @t219)) % 162.83/163.11 (define @t221 () (tptp.meet tptp.one @t79)) % 162.83/163.11 (define @t222 () (= @t218 @t221)) % 162.83/163.11 (define @t223 () (tptp.converse @t123)) % 162.83/163.11 (define @t224 () (= @t79 @t223)) % 162.83/163.11 (define @t225 () (= @t93 @t156)) % 162.83/163.11 (define @t226 () (= @t123 (tptp.composition @t123 tptp.one))) % 162.83/163.11 (define @t227 () (tptp.composition @t125 tptp.one)) % 162.83/163.11 (define @t228 () (= @t125 @t227)) % 162.83/163.11 (define @t229 () (tptp.join @t93 @t77)) % 162.83/163.11 (define @t230 () (= @t229 @t217)) % 162.83/163.11 (define @t231 () (tptp.join @t77 @t160)) % 162.83/163.11 (define @t232 () (= tptp.top @t231)) % 162.83/163.11 (define @t233 () (tptp.composition @t123 @t83)) % 162.83/163.11 (define @t234 () (tptp.converse @t233)) % 162.83/163.11 (define @t235 () (= @t234 (tptp.composition @t193 @t223))) % 162.83/163.11 (define @t236 () (= tptp.top (tptp.join @t109 @t110))) % 162.83/163.11 (define @t237 () (tptp.join @t78 @t160)) % 162.83/163.11 (define @t238 () (tptp.join tptp.one @t231)) % 162.83/163.11 (define @t239 () (= @t238 @t237)) % 162.83/163.11 (define @t240 () (tptp.join @t91 @t160)) % 162.83/163.11 (define @t241 () (= (tptp.join @t77 @t231) @t240)) % 162.83/163.11 (define @t242 () (tptp.join @t156 @t92)) % 162.83/163.11 (define @t243 () (tptp.join @t154 @t94)) % 162.83/163.11 (define @t244 () (= @t243 @t242)) % 162.83/163.11 (define @t245 () (tptp.join @t160 @t153)) % 162.83/163.11 (define @t246 () (tptp.join @t77 @t245)) % 162.83/163.11 (define @t247 () (= @t246 (tptp.join @t231 @t153))) % 162.83/163.11 (define @t248 () (tptp.join @t110 @t166)) % 162.83/163.11 (define @t249 () (= @t101 @t248)) % 162.83/163.11 (define @t250 () (tptp.join @t77 @t204)) % 162.83/163.11 (define @t251 () (tptp.complement @t250)) % 162.83/163.11 (define @t252 () (= @t251 (tptp.meet tptp.one @t136))) % 162.83/163.11 (define @t253 () (tptp.composition @t53 @t56)) % 162.83/163.11 (define @t254 () (= @t180 @t253)) % 162.83/163.11 (define @t255 () (= @t237 (tptp.join @t160 @t78))) % 162.83/163.11 (define @t256 () (tptp.join @t109 @t102)) % 162.83/163.11 (define @t257 () (tptp.join @t109 @t103)) % 162.83/163.11 (define @t258 () (= @t257 (tptp.join @t256 @t100))) % 162.83/163.11 (define @t259 () (tptp.join @t127 @t92)) % 162.83/163.11 (define @t260 () (= (tptp.join @t79 @t94) @t259)) % 162.83/163.11 (define @t261 () (tptp.join (tptp.join @t100 @t110) @t166)) % 162.83/163.11 (define @t262 () (tptp.join @t100 @t248)) % 162.83/163.11 (define @t263 () (= @t262 @t261)) % 162.83/163.11 (define @t264 () (= @t91 (tptp.join (tptp.complement (tptp.join @t92 @t92)) (tptp.complement @t139)))) % 162.83/163.11 (define @t265 () (tptp.join @t100 @t100)) % 162.83/163.11 (define @t266 () (tptp.join @t93 @t265)) % 162.83/163.11 (define @t267 () (= @t266 (tptp.join (tptp.join @t93 @t100) @t100))) % 162.83/163.11 (define @t268 () (tptp.join @t93 @t231)) % 162.83/163.11 (define @t269 () (= @t268 (tptp.join @t229 @t160))) % 162.83/163.11 (define @t270 () (= @t243 (tptp.join @t94 @t154))) % 162.83/163.11 (define @t271 () (tptp.join @t108 @t93)) % 162.83/163.11 (define @t272 () (tptp.join @t271 @t92)) % 162.83/163.11 (define @t273 () (= (tptp.join @t108 @t94) @t272)) % 162.83/163.11 (define @t274 () (tptp.join @t110 @t155)) % 162.83/163.11 (define @t275 () (= @t274 (tptp.join (tptp.join @t110 @t93) @t154))) % 162.83/163.11 (define @t276 () (tptp.join @t167 @t154)) % 162.83/163.11 (define @t277 () (tptp.join @t276 @t92)) % 162.83/163.11 (define @t278 () (= (tptp.join @t167 @t168) @t277)) % 162.83/163.11 (define @t279 () (tptp.join @t165 @t153)) % 162.83/163.11 (define @t280 () (= (tptp.join @t108 (tptp.join tptp.one @t153)) @t279)) % 162.83/163.11 (define @t281 () (tptp.join @t108 @t79)) % 162.83/163.11 (define @t282 () (tptp.complement @t281)) % 162.83/163.11 (define @t283 () (tptp.complement @t271)) % 162.83/163.11 (define @t284 () (tptp.join @t283 @t282)) % 162.83/163.11 (define @t285 () (= @t101 @t284)) % 162.83/163.11 (define @t286 () (tptp.converse @t52)) % 162.83/163.11 (define @t287 () (= @t51 @t286)) % 162.83/163.11 (define @t288 () (= @t56 (tptp.composition @t56 tptp.one))) % 162.83/163.11 (define @t289 () (tptp.composition @t195 @t61)) % 162.83/163.11 (define @t290 () (tptp.composition @t56 @t173)) % 162.83/163.11 (define @t291 () (tptp.converse @t290)) % 162.83/163.11 (define @t292 () (= @t291 @t289)) % 162.83/163.11 (define @t293 () (tptp.composition @t58 @t286)) % 162.83/163.11 (define @t294 () (tptp.converse @t180)) % 162.83/163.11 (define @t295 () (= @t294 @t293)) % 162.83/163.11 (define @t296 () (= @t61 (tptp.composition @t61 tptp.one))) % 162.83/163.11 (define @t297 () (= @t56 (tptp.converse @t61))) % 162.83/163.11 (define @t298 () (tptp.composition tptp.one @t61)) % 162.83/163.11 (define @t299 () (tptp.composition @t173 @t61)) % 162.83/163.11 (define @t300 () (= @t299 (tptp.join @t298 @t298))) % 162.83/163.11 (define @t301 () (tptp.converse @t175)) % 162.83/163.11 (define @t302 () (= @t174 @t301)) % 162.83/163.11 (define @t303 () (tptp.join @t87 @t62)) % 162.83/163.11 (define @t304 () (tptp.join @t59 @t117)) % 162.83/163.11 (define @t305 () (= @t304 @t303)) % 162.83/163.11 (define @t306 () (tptp.join @t61 @t294)) % 162.83/163.11 (define @t307 () (= (tptp.converse (tptp.join @t56 @t180)) @t306)) % 162.83/163.11 (define @t308 () (tptp.join @t174 @t253)) % 162.83/163.11 (define @t309 () (= (tptp.composition @t70 @t56) @t308)) % 162.83/163.11 (define @t310 () (tptp.complement @t227)) % 162.83/163.11 (define @t311 () (tptp.join @t93 @t218)) % 162.83/163.11 (define @t312 () (and @t55 @t64 @t72 @t182 @t184 @t186 @t188 @t189 @t191 @t192 @t194 @t196 @t197 @t198 @t82 @t200 @t201 @t203 @t90 @t98 @t107 @t207 @t114 @t119 @t209 @t210 @t211 @t212 @t215 @t220 @t222 @t224 @t225 @t226 @t228 @t230 @t232 @t235 @t236 @t130 @t134 @t138 @t142 @t147 @t152 @t159 @t239 @t241 @t244 @t247 @t249 @t252 @t254 @t164 @t255 @t258 @t260 @t263 @t264 @t267 @t269 @t270 @t273 @t275 @t278 @t280 @t171 @t285 @t287 @t288 @t292 @t295 @t296 @t179 @t297 @t300 @t302 @t305 @t307 @t309)) % 162.83/163.11 (assume @p1 @t5) % 162.83/163.11 (assume @p2 (forall @t7 (= (tptp.join @t1 (tptp.join @t2 @t6)) (tptp.join @t3 @t6)))) % 162.83/163.11 (assume @p3 (forall @t4 (= @t1 (tptp.join @t10 (tptp.complement (tptp.join @t8 @t2)))))) % 162.83/163.11 (assume @p4 @t12) % 162.83/163.11 (assume @p5 (forall @t7 (= (tptp.composition @t1 @t14) (tptp.composition @t13 @t6)))) % 162.83/163.11 (assume @p6 @t17) % 162.83/163.11 (assume @p7 @t18) % 162.83/163.11 (assume @p8 @t21) % 162.83/163.11 (assume @p9 @t23) % 162.83/163.11 (assume @p10 @t25) % 162.83/163.11 (assume @p11 @t27) % 162.83/163.11 (assume @p12 (forall @t16 (= tptp.top (tptp.join @t1 @t8)))) % 162.83/163.11 (assume @p13 (forall @t16 (= tptp.zero (tptp.meet @t1 @t8)))) % 162.83/163.11 (assume @p14 (forall @t7 (= (tptp.join @t31 @t30) @t30))) % 162.83/163.11 (assume @p15 (forall @t7 (= (tptp.join @t31 @t32) @t32))) % 162.83/163.11 (assume @p16 @t35) % 162.83/163.11 (assume @p17 @t42) % 162.83/163.11 (assume @p18 true) % 162.83/163.11 (step @p19 :rule aci_norm :args ((= (or (or @t47 @t45) @t43) @t48))) % 162.83/163.11 (step @p20 :rule refl :args (@t43)) % 162.83/163.11 (step @p21 :rule bool-and-de-morgan :args (@t46 @t44 true)) % 162.83/163.11 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t49) @t43))) % 162.83/163.11 (step @p23 :rule trans :premises (@p22 @p19)) % 162.83/163.11 (step @p24 :rule bool-impl-elim :args (@t49 @t43)) % 162.83/163.11 (step @p25 :rule trans :premises (@p24 @p23)) % 162.83/163.11 (step @p26 :rule cong :premises (@p25) :args ((forall @t4 (=> @t49 @t43)))) % 162.83/163.11 (step @p27 :rule eq-symm :args (@t36 tptp.one)) % 162.83/163.11 (step @p28 :rule eq-symm :args (@t37 tptp.one)) % 162.83/163.11 (step @p29 :rule eq-symm :args (@t38 tptp.one)) % 162.83/163.11 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t39)) % 162.83/163.11 (step @p31 :rule cong :premises (@p30 @p27) :args (@t40)) % 162.83/163.11 (step @p32 :rule cong :premises (@p31) :args (@t41)) % 162.83/163.11 (step @p33 :rule trans :premises (@p32 @p26)) % 162.83/163.11 (step @p34 :rule cong :premises (@p33) :args (@t42)) % 162.83/163.11 (step @p35 :rule eq_resolve :premises (@p17 @p34)) % 162.83/163.11 (step @p36 :rule skolemize :premises (@p35)) % 162.83/163.11 (step @p37 :rule bool-double-not-elim :args (@t55)) % 162.83/163.11 (step @p38 :rule refl :args (@t67)) % 162.83/163.11 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t67 (not @t66)))) % 162.83/163.11 (step @p40 :rule cnf_or_neg :args (@t67 0)) % 162.83/163.11 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 162.83/163.11 (step @p42 :rule reordering :premises (@p41) :args ((or @t55 @t67))) % 162.83/163.11 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t55 @t68 @t69)) % 162.83/163.11 (step @p44 :rule bool-double-not-elim :args (@t64)) % 162.83/163.11 (step @p45 :rule nary_cong :premises (@p38 @p44) :args ((or @t67 (not @t65)))) % 162.83/163.11 (step @p46 :rule cnf_or_neg :args (@t67 1)) % 162.83/163.11 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 162.83/163.11 (step @p48 :rule reordering :premises (@p47) :args ((or @t64 @t67))) % 162.83/163.11 (step @p49 :rule chain_m_resolution :premises (@p48 @p36) :args (@t64 @t68 @t69)) % 162.83/163.11 (step @p50 :rule cnf_or_neg :args (@t67 2)) % 162.83/163.11 (step @p51 :rule chain_m_resolution :premises (@p50 @p36) :args ((not @t60) @t68 @t69)) % 162.83/163.11 (step @p52 :rule eq-symm :args (@t70 @t54)) % 162.83/163.11 (step @p53 :rule refl :args (@t5)) % 162.83/163.11 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t5 @t71))) % 162.83/163.11 (assume-push @p731 @t5) % 162.83/163.11 (step @p56 :rule instantiate :premises (@p1) :args ((@list tptp.one @t53))) % 162.83/163.11 (step-pop @p732 :rule scope :premises (@p56)) % 162.83/163.11 (step @p57 :rule process_scope :premises (@p732) :args (@t71)) % 162.83/163.11 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 162.83/163.11 (step @p60 :rule implies_elim :premises (@p59)) % 162.83/163.11 (step @p61 :rule chain_m_resolution :premises (@p60 @p1) :args (@t72 @t73 @t74)) % 162.83/163.11 (step @p62 :rule instantiate :premises (@p2) :args ((@list @t62 @t62 tptp.one))) % 162.83/163.11 (step @p63 :rule instantiate :premises (@p2) :args ((@list @t59 @t62 tptp.one))) % 162.83/163.11 (step @p64 :rule instantiate :premises (@p5) :args ((@list @t58 @t51 @t56))) % 162.83/163.11 (step @p65 :rule instantiate :premises (@p10) :args ((@list @t51 @t56))) % 162.83/163.11 (step @p66 :rule instantiate :premises (@p3) :args (@t75)) % 162.83/163.11 (step @p67 :rule eq-symm :args (@t11 @t10)) % 162.83/163.11 (step @p68 :rule cong :premises (@p67) :args (@t12)) % 162.83/163.11 (step @p69 :rule eq_resolve :premises (@p4 @p68)) % 162.83/163.11 (step @p70 :rule instantiate :premises (@p69) :args (@t75)) % 162.83/163.11 (step @p71 :rule eq-symm :args (@t15 @t1)) % 162.83/163.11 (step @p72 :rule cong :premises (@p71) :args (@t17)) % 162.83/163.11 (step @p73 :rule eq_resolve :premises (@p6 @p72)) % 162.83/163.11 (step @p74 :rule instantiate :premises (@p73) :args (@t76)) % 162.83/163.11 (step @p75 :rule eq-symm :args (@t20 @t1)) % 162.83/163.11 (step @p76 :rule cong :premises (@p75) :args (@t21)) % 162.83/163.11 (step @p77 :rule eq_resolve :premises (@p8 @p76)) % 162.83/163.11 (step @p78 :rule instantiate :premises (@p77) :args (@t76)) % 162.83/163.11 (step @p79 :rule instantiate :premises (@p9) :args (@t75)) % 162.83/163.11 (step @p80 :rule instantiate :premises (@p12) :args (@t76)) % 162.83/163.11 (step @p81 :rule eq-symm :args (@t34 @t33)) % 162.83/163.11 (step @p82 :rule cong :premises (@p81) :args (@t35)) % 162.83/163.11 (step @p83 :rule eq_resolve :premises (@p16 @p82)) % 162.83/163.11 (step @p84 :rule instantiate :premises (@p83) :args ((@list tptp.one tptp.one tptp.one))) % 162.83/163.11 (step @p85 :rule eq-symm :args (@t78 @t79)) % 162.83/163.11 (step @p86 :rule cong :premises (@p53 @p85) :args ((=> @t5 @t80))) % 162.83/163.11 (assume-push @p733 @t5) % 162.83/163.11 (step @p88 :rule instantiate :premises (@p1) :args (@t81)) % 162.83/163.11 (step-pop @p734 :rule scope :premises (@p88)) % 162.83/163.11 (step @p89 :rule process_scope :premises (@p734) :args (@t80)) % 162.83/163.11 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 162.83/163.11 (step @p92 :rule implies_elim :premises (@p91)) % 162.83/163.11 (step @p93 :rule chain_m_resolution :premises (@p92 @p1) :args (@t82 @t73 @t74)) % 162.83/163.11 (step @p94 :rule instantiate :premises (@p73) :args ((@list @t83))) % 162.83/163.11 (step @p95 :rule instantiate :premises (@p73) :args ((@list @t85))) % 162.83/163.11 (step @p96 :rule instantiate :premises (@p10) :args ((@list @t83 tptp.one))) % 162.83/163.11 (step @p97 :rule eq-symm :args (@t86 @t87)) % 162.83/163.11 (step @p98 :rule cong :premises (@p53 @p97) :args ((=> @t5 @t88))) % 162.83/163.11 (assume-push @p735 @t5) % 162.83/163.11 (step @p100 :rule instantiate :premises (@p1) :args (@t89)) % 162.83/163.11 (step-pop @p736 :rule scope :premises (@p100)) % 162.83/163.11 (step @p101 :rule process_scope :premises (@p736) :args (@t88)) % 162.83/163.11 (step @p103 :rule eq_resolve :premises (@p101 @p98)) % 162.83/163.11 (step @p104 :rule implies_elim :premises (@p103)) % 162.83/163.11 (step @p105 :rule chain_m_resolution :premises (@p104 @p1) :args (@t90 @t73 @t74)) % 162.83/163.11 (step @p106 :rule eq-symm :args (@t94 @t95)) % 162.83/163.11 (step @p107 :rule cong :premises (@p53 @p106) :args ((=> @t5 @t96))) % 162.83/163.11 (assume-push @p737 @t5) % 162.83/163.11 (step @p109 :rule instantiate :premises (@p1) :args (@t97)) % 162.83/163.11 (step-pop @p738 :rule scope :premises (@p109)) % 162.83/163.11 (step @p110 :rule process_scope :premises (@p738) :args (@t96)) % 162.83/163.11 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 162.83/163.11 (step @p113 :rule implies_elim :premises (@p112)) % 162.83/163.11 (step @p114 :rule chain_m_resolution :premises (@p113 @p1) :args (@t98 @t73 @t74)) % 162.83/163.11 (step @p115 :rule eq-symm :args (@t103 @t104)) % 162.83/163.11 (step @p116 :rule cong :premises (@p53 @p115) :args ((=> @t5 @t105))) % 162.83/163.11 (assume-push @p739 @t5) % 162.83/163.11 (step @p118 :rule instantiate :premises (@p1) :args (@t106)) % 162.83/163.11 (step-pop @p740 :rule scope :premises (@p118)) % 162.83/163.11 (step @p119 :rule process_scope :premises (@p740) :args (@t105)) % 162.83/163.11 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 162.83/163.11 (step @p122 :rule implies_elim :premises (@p121)) % 162.83/163.11 (step @p123 :rule chain_m_resolution :premises (@p122 @p1) :args (@t107 @t73 @t74)) % 162.83/163.11 (step @p124 :rule instantiate :premises (@p3) :args ((@list @t91 @t79))) % 162.83/163.11 (step @p125 :rule eq-symm :args (@t110 @t102)) % 162.83/163.11 (step @p126 :rule refl :args (@t111)) % 162.83/163.11 (step @p127 :rule cong :premises (@p126 @p125) :args ((=> @t111 @t112))) % 162.83/163.11 (assume-push @p741 @t111) % 162.83/163.11 (step @p129 :rule instantiate :premises (@p69) :args (@t113)) % 162.83/163.11 (step-pop @p742 :rule scope :premises (@p129)) % 162.83/163.11 (step @p130 :rule process_scope :premises (@p742) :args (@t112)) % 162.83/163.11 (step @p132 :rule eq_resolve :premises (@p130 @p127)) % 162.83/163.11 (step @p133 :rule implies_elim :premises (@p132)) % 162.83/163.11 (step @p134 :rule chain_m_resolution :premises (@p133 @p69) :args (@t114 @t73 (@list @t111))) % 162.83/163.11 (step @p135 :rule eq-symm :args (@t116 @t117)) % 162.83/163.11 (step @p136 :rule refl :args (@t18)) % 162.83/163.11 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t18 @t118))) % 162.83/163.11 (assume-push @p743 @t18) % 162.83/163.11 (step @p139 :rule instantiate :premises (@p7) :args ((@list @t61 @t61 @t56))) % 162.83/163.11 (step-pop @p744 :rule scope :premises (@p139)) % 162.83/163.11 (step @p140 :rule process_scope :premises (@p744) :args (@t118)) % 162.83/163.11 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 162.83/163.11 (step @p143 :rule implies_elim :premises (@p142)) % 162.83/163.11 (step @p144 :rule chain_m_resolution :premises (@p143 @p7) :args (@t119 @t73 (@list @t18))) % 162.83/163.11 (step @p145 :rule instantiate :premises (@p7) :args ((@list @t120 @t61 @t56))) % 162.83/163.11 (step @p146 :rule instantiate :premises (@p12) :args (@t121)) % 162.83/163.11 (step @p147 :rule instantiate :premises (@p12) :args ((@list @t91))) % 162.83/163.11 (step @p148 :rule instantiate :premises (@p73) :args (@t121)) % 162.83/163.11 (step @p149 :rule instantiate :premises (@p1) :args (@t122)) % 162.83/163.11 (step @p150 :rule instantiate :premises (@p3) :args (@t122)) % 162.83/163.11 (step @p151 :rule instantiate :premises (@p69) :args (@t122)) % 162.83/163.11 (step @p152 :rule instantiate :premises (@p77) :args (@t121)) % 162.83/163.11 (step @p153 :rule eq-symm :args (@t26 @t9)) % 162.83/163.11 (step @p154 :rule cong :premises (@p153) :args (@t27)) % 162.83/163.11 (step @p155 :rule eq_resolve :premises (@p11 @p154)) % 162.83/163.11 (step @p156 :rule instantiate :premises (@p155) :args (@t122)) % 162.83/163.11 (step @p157 :rule instantiate :premises (@p73) :args ((@list @t123))) % 162.83/163.11 (step @p158 :rule instantiate :premises (@p73) :args ((@list @t125))) % 162.83/163.11 (step @p159 :rule instantiate :premises (@p1) :args ((@list @t93 @t77))) % 162.83/163.11 (step @p160 :rule instantiate :premises (@p12) :args ((@list @t77))) % 162.83/163.11 (step @p161 :rule instantiate :premises (@p10) :args ((@list @t123 @t83))) % 162.83/163.11 (step @p162 :rule instantiate :premises (@p12) :args ((@list @t109))) % 162.83/163.11 (step @p163 :rule eq-symm :args (@t126 @t127)) % 162.83/163.11 (step @p164 :rule cong :premises (@p53 @p163) :args ((=> @t5 @t128))) % 162.83/163.11 (assume-push @p745 @t5) % 162.83/163.11 (step @p166 :rule instantiate :premises (@p1) :args (@t129)) % 162.83/163.11 (step-pop @p746 :rule scope :premises (@p166)) % 162.83/163.11 (step @p167 :rule process_scope :premises (@p746) :args (@t128)) % 162.83/163.11 (step @p169 :rule eq_resolve :premises (@p167 @p164)) % 162.83/163.11 (step @p170 :rule implies_elim :premises (@p169)) % 162.83/163.11 (step @p171 :rule chain_m_resolution :premises (@p170 @p1) :args (@t130 @t73 @t74)) % 162.83/163.11 (step @p172 :rule eq-symm :args (@t131 @t132)) % 162.83/163.11 (step @p173 :rule cong :premises (@p53 @p172) :args ((=> @t5 @t133))) % 162.83/163.11 (assume-push @p747 @t5) % 162.83/163.11 (step @p175 :rule instantiate :premises (@p1) :args ((@list @t92 @t117))) % 162.83/163.11 (step-pop @p748 :rule scope :premises (@p175)) % 162.83/163.11 (step @p176 :rule process_scope :premises (@p748) :args (@t133)) % 162.83/163.11 (step @p178 :rule eq_resolve :premises (@p176 @p173)) % 162.83/163.11 (step @p179 :rule implies_elim :premises (@p178)) % 162.83/163.11 (step @p180 :rule chain_m_resolution :premises (@p179 @p1) :args (@t134 @t73 @t74)) % 162.83/163.11 (step @p181 :rule eq-symm :args (@t135 @t136)) % 162.83/163.11 (step @p182 :rule cong :premises (@p53 @p181) :args ((=> @t5 @t137))) % 162.83/163.11 (assume-push @p749 @t5) % 162.83/163.11 (step @p184 :rule instantiate :premises (@p1) :args ((@list @t79 @t92))) % 162.83/163.11 (step-pop @p750 :rule scope :premises (@p184)) % 162.83/163.11 (step @p185 :rule process_scope :premises (@p750) :args (@t137)) % 162.83/163.11 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 162.83/163.11 (step @p188 :rule implies_elim :premises (@p187)) % 162.83/163.11 (step @p189 :rule chain_m_resolution :premises (@p188 @p1) :args (@t138 @t73 @t74)) % 162.83/163.11 (step @p190 :rule eq-symm :args (@t139 @t140)) % 162.83/163.11 (step @p191 :rule cong :premises (@p53 @p190) :args ((=> @t5 @t141))) % 162.83/163.11 (assume-push @p751 @t5) % 162.83/163.11 (step @p193 :rule instantiate :premises (@p1) :args ((@list @t92 @t91))) % 162.83/163.11 (step-pop @p752 :rule scope :premises (@p193)) % 162.83/163.11 (step @p194 :rule process_scope :premises (@p752) :args (@t141)) % 162.83/163.11 (step @p196 :rule eq_resolve :premises (@p194 @p191)) % 162.83/163.11 (step @p197 :rule implies_elim :premises (@p196)) % 162.83/163.11 (step @p198 :rule chain_m_resolution :premises (@p197 @p1) :args (@t142 @t73 @t74)) % 162.83/163.11 (step @p199 :rule eq-symm :args (@t143 @t144)) % 162.83/163.11 (step @p200 :rule cong :premises (@p53 @p199) :args ((=> @t5 @t145))) % 162.83/163.11 (assume-push @p753 @t5) % 162.83/163.11 (step @p202 :rule instantiate :premises (@p1) :args (@t146)) % 162.83/163.11 (step-pop @p754 :rule scope :premises (@p202)) % 162.83/163.11 (step @p203 :rule process_scope :premises (@p754) :args (@t145)) % 162.83/163.11 (step @p205 :rule eq_resolve :premises (@p203 @p200)) % 162.83/163.11 (step @p206 :rule implies_elim :premises (@p205)) % 162.83/163.11 (step @p207 :rule chain_m_resolution :premises (@p206 @p1) :args (@t147 @t73 @t74)) % 162.83/163.11 (step @p208 :rule eq-symm :args (@t148 @t149)) % 162.83/163.11 (step @p209 :rule cong :premises (@p53 @p208) :args ((=> @t5 @t150))) % 162.83/163.11 (assume-push @p755 @t5) % 162.83/163.11 (step @p211 :rule instantiate :premises (@p1) :args (@t151)) % 162.83/163.11 (step-pop @p756 :rule scope :premises (@p211)) % 162.83/163.11 (step @p212 :rule process_scope :premises (@p756) :args (@t150)) % 162.83/163.11 (step @p214 :rule eq_resolve :premises (@p212 @p209)) % 162.83/163.11 (step @p215 :rule implies_elim :premises (@p214)) % 162.83/163.11 (step @p216 :rule chain_m_resolution :premises (@p215 @p1) :args (@t152 @t73 @t74)) % 162.83/163.11 (step @p217 :rule eq-symm :args (@t155 @t156)) % 162.83/163.11 (step @p218 :rule cong :premises (@p53 @p217) :args ((=> @t5 @t157))) % 162.83/163.11 (assume-push @p757 @t5) % 162.83/163.11 (step @p220 :rule instantiate :premises (@p1) :args (@t158)) % 162.83/163.11 (step-pop @p758 :rule scope :premises (@p220)) % 162.83/163.11 (step @p221 :rule process_scope :premises (@p758) :args (@t157)) % 162.83/163.11 (step @p223 :rule eq_resolve :premises (@p221 @p218)) % 162.83/163.11 (step @p224 :rule implies_elim :premises (@p223)) % 162.83/163.11 (step @p225 :rule chain_m_resolution :premises (@p224 @p1) :args (@t159 @t73 @t74)) % 162.83/163.11 (step @p226 :rule instantiate :premises (@p2) :args ((@list tptp.one @t77 @t160))) % 162.83/163.11 (step @p227 :rule instantiate :premises (@p2) :args ((@list @t77 @t77 @t160))) % 162.83/163.11 (step @p228 :rule instantiate :premises (@p2) :args ((@list @t154 @t93 @t92))) % 162.83/163.11 (step @p229 :rule instantiate :premises (@p2) :args ((@list @t77 @t160 @t153))) % 162.83/163.11 (step @p230 :rule instantiate :premises (@p3) :args (@t113)) % 162.83/163.11 (step @p231 :rule instantiate :premises (@p69) :args ((@list tptp.one @t136))) % 162.83/163.11 (step @p232 :rule instantiate :premises (@p5) :args ((@list @t52 @t51 @t56))) % 162.83/163.11 (step @p233 :rule eq-symm :args (@t161 @t115)) % 162.83/163.11 (step @p234 :rule refl :args (@t23)) % 162.83/163.11 (step @p235 :rule cong :premises (@p234 @p233) :args ((=> @t23 @t162))) % 162.83/163.11 (assume-push @p759 @t23) % 162.83/163.11 (step @p237 :rule instantiate :premises (@p9) :args (@t163)) % 162.83/163.11 (step-pop @p760 :rule scope :premises (@p237)) % 162.83/163.11 (step @p238 :rule process_scope :premises (@p760) :args (@t162)) % 162.83/163.11 (step @p240 :rule eq_resolve :premises (@p238 @p235)) % 162.83/163.11 (step @p241 :rule implies_elim :premises (@p240)) % 162.83/163.11 (step @p242 :rule chain_m_resolution :premises (@p241 @p9) :args (@t164 @t73 (@list @t23))) % 162.83/163.11 (step @p243 :rule instantiate :premises (@p1) :args ((@list @t78 @t160))) % 162.83/163.11 (step @p244 :rule instantiate :premises (@p2) :args ((@list @t109 @t102 @t100))) % 162.83/163.11 (step @p245 :rule instantiate :premises (@p2) :args ((@list @t79 @t93 @t92))) % 162.83/163.11 (step @p246 :rule instantiate :premises (@p2) :args ((@list @t100 @t110 @t166))) % 162.83/163.11 (step @p247 :rule instantiate :premises (@p3) :args ((@list @t91 @t91))) % 162.83/163.11 (step @p248 :rule instantiate :premises (@p2) :args ((@list @t93 @t100 @t100))) % 162.83/163.11 (step @p249 :rule instantiate :premises (@p2) :args ((@list @t93 @t77 @t160))) % 162.83/163.11 (step @p250 :rule instantiate :premises (@p1) :args ((@list @t154 @t94))) % 162.83/163.11 (step @p251 :rule instantiate :premises (@p2) :args ((@list @t108 @t93 @t92))) % 162.83/163.11 (step @p252 :rule instantiate :premises (@p2) :args ((@list @t110 @t93 @t154))) % 162.83/163.11 (step @p253 :rule instantiate :premises (@p2) :args ((@list @t167 @t154 @t92))) % 162.83/163.11 (step @p254 :rule instantiate :premises (@p2) :args ((@list @t108 tptp.one @t153))) % 162.83/163.11 (step @p255 :rule eq-symm :args (@t168 @t169)) % 162.83/163.11 (step @p256 :rule cong :premises (@p53 @p255) :args ((=> @t5 @t170))) % 162.83/163.11 (assume-push @p761 @t5) % 162.83/163.11 (step @p258 :rule instantiate :premises (@p1) :args ((@list @t154 @t92))) % 162.83/163.11 (step-pop @p762 :rule scope :premises (@p258)) % 162.83/163.11 (step @p259 :rule process_scope :premises (@p762) :args (@t170)) % 162.83/163.11 (step @p261 :rule eq_resolve :premises (@p259 @p256)) % 162.83/163.11 (step @p262 :rule implies_elim :premises (@p261)) % 162.83/163.11 (step @p263 :rule chain_m_resolution :premises (@p262 @p1) :args (@t171 @t73 @t74)) % 162.83/163.11 (step @p264 :rule instantiate :premises (@p3) :args ((@list @t101 @t79))) % 162.83/163.11 (step @p265 :rule instantiate :premises (@p77) :args ((@list @t51))) % 162.83/163.11 (step @p266 :rule instantiate :premises (@p73) :args (@t172)) % 162.83/163.11 (step @p267 :rule instantiate :premises (@p10) :args ((@list @t56 @t173))) % 162.83/163.11 (step @p268 :rule instantiate :premises (@p10) :args ((@list @t52 @t57))) % 162.83/163.11 (step @p269 :rule instantiate :premises (@p73) :args ((@list @t61))) % 162.83/163.11 (step @p270 :rule eq-symm :args (@t175 @t176)) % 162.83/163.11 (step @p271 :rule refl :args (@t25)) % 162.83/163.11 (step @p272 :rule cong :premises (@p271 @p270) :args ((=> @t25 @t177))) % 162.83/163.11 (assume-push @p763 @t25) % 162.83/163.11 (step @p274 :rule instantiate :premises (@p10) :args (@t178)) % 162.83/163.11 (step-pop @p764 :rule scope :premises (@p274)) % 162.83/163.11 (step @p275 :rule process_scope :premises (@p764) :args (@t177)) % 162.83/163.11 (step @p277 :rule eq_resolve :premises (@p275 @p272)) % 162.83/163.11 (step @p278 :rule implies_elim :premises (@p277)) % 162.83/163.11 (step @p279 :rule chain_m_resolution :premises (@p278 @p10) :args (@t179 @t73 (@list @t25))) % 162.83/163.11 (step @p280 :rule instantiate :premises (@p77) :args (@t172)) % 162.83/163.11 (step @p281 :rule instantiate :premises (@p7) :args ((@list tptp.one tptp.one @t61))) % 162.83/163.11 (step @p282 :rule instantiate :premises (@p77) :args ((@list @t174))) % 162.83/163.11 (step @p283 :rule instantiate :premises (@p2) :args ((@list @t59 @t62 @t62))) % 162.83/163.11 (step @p284 :rule instantiate :premises (@p9) :args ((@list @t56 @t180))) % 162.83/163.11 (step @p285 :rule instantiate :premises (@p7) :args ((@list tptp.one @t53 @t56))) % 162.83/163.11 (assume-push @p765 @t55) % 162.83/163.11 (assume-push @p766 @t64) % 162.83/163.11 (assume-push @p767 @t72) % 162.83/163.11 (assume-push @p768 @t182) % 162.83/163.11 (assume-push @p769 @t184) % 162.83/163.11 (assume-push @p770 @t186) % 162.83/163.11 (assume-push @p771 @t188) % 162.83/163.11 (assume-push @p772 @t189) % 162.83/163.11 (assume-push @p773 @t191) % 162.83/163.11 (assume-push @p774 @t192) % 162.83/163.11 (assume-push @p775 @t194) % 162.83/163.11 (assume-push @p776 @t196) % 162.83/163.11 (assume-push @p777 @t197) % 162.83/163.11 (assume-push @p778 @t198) % 162.83/163.11 (assume-push @p779 @t82) % 162.83/163.11 (assume-push @p780 @t200) % 162.83/163.11 (assume-push @p781 @t201) % 162.83/163.11 (assume-push @p782 @t203) % 162.83/163.11 (assume-push @p783 @t90) % 162.83/163.11 (assume-push @p784 @t98) % 162.83/163.11 (assume-push @p785 @t107) % 162.83/163.11 (assume-push @p786 @t207) % 162.83/163.11 (assume-push @p787 @t114) % 162.83/163.11 (assume-push @p788 @t119) % 162.83/163.11 (assume-push @p789 @t209) % 162.83/163.11 (assume-push @p790 @t210) % 162.83/163.11 (assume-push @p791 @t211) % 162.83/163.11 (assume-push @p792 @t212) % 162.83/163.11 (assume-push @p793 @t215) % 162.83/163.11 (assume-push @p794 @t220) % 162.83/163.11 (assume-push @p795 @t222) % 162.83/163.11 (assume-push @p796 @t224) % 162.83/163.11 (assume-push @p797 @t225) % 162.83/163.11 (assume-push @p798 @t226) % 162.83/163.11 (assume-push @p799 @t228) % 162.83/163.11 (assume-push @p800 @t230) % 162.83/163.11 (assume-push @p801 @t232) % 162.83/163.11 (assume-push @p802 @t235) % 162.83/163.11 (assume-push @p803 @t236) % 162.83/163.11 (assume-push @p804 @t130) % 162.83/163.11 (assume-push @p805 @t134) % 162.83/163.11 (assume-push @p806 @t138) % 162.83/163.11 (assume-push @p807 @t142) % 162.83/163.11 (assume-push @p808 @t147) % 162.83/163.11 (assume-push @p809 @t152) % 162.83/163.11 (assume-push @p810 @t159) % 162.83/163.11 (assume-push @p811 @t239) % 162.83/163.11 (assume-push @p812 @t241) % 162.83/163.11 (assume-push @p813 @t244) % 162.83/163.11 (assume-push @p814 @t247) % 162.83/163.11 (assume-push @p815 @t249) % 162.83/163.11 (assume-push @p816 @t252) % 162.83/163.11 (assume-push @p817 @t254) % 162.83/163.11 (assume-push @p818 @t164) % 162.83/163.11 (assume-push @p819 @t255) % 162.83/163.11 (assume-push @p820 @t258) % 162.83/163.11 (assume-push @p821 @t260) % 162.83/163.11 (assume-push @p822 @t263) % 162.83/163.11 (assume-push @p823 @t264) % 162.83/163.11 (assume-push @p824 @t267) % 162.83/163.11 (assume-push @p825 @t269) % 162.83/163.11 (assume-push @p826 @t270) % 162.83/163.11 (assume-push @p827 @t273) % 162.83/163.11 (assume-push @p828 @t275) % 162.83/163.11 (assume-push @p829 @t278) % 162.83/163.11 (assume-push @p830 @t280) % 162.83/163.11 (assume-push @p831 @t171) % 162.83/163.11 (assume-push @p832 @t285) % 162.83/163.11 (assume-push @p833 @t287) % 162.83/163.11 (assume-push @p834 @t288) % 162.83/163.11 (assume-push @p835 @t292) % 162.83/163.11 (assume-push @p836 @t295) % 162.83/163.11 (assume-push @p837 @t296) % 162.83/163.11 (assume-push @p838 @t179) % 162.83/163.11 (assume-push @p839 @t297) % 162.83/163.11 (assume-push @p840 @t300) % 162.83/163.11 (assume-push @p841 @t302) % 162.83/163.11 (assume-push @p842 @t305) % 162.83/163.11 (assume-push @p843 @t307) % 162.83/163.11 (assume-push @p844 @t309) % 162.83/163.11 (step @p366 :rule symm :premises (@p49)) % 162.83/163.11 (step @p367 :rule refl :args (@t59)) % 162.83/163.11 (step @p368 :rule cong :premises (@p367 @p366) :args (@t183)) % 162.83/163.11 (step @p369 :rule symm :premises (@p63)) % 162.83/163.11 (step @p370 :rule symm :premises (@p66)) % 162.83/163.11 (step @p88 :rule instantiate :premises (@p1) :args (@t81)) % 162.83/163.11 (step @p371 :rule symm :premises (@p146)) % 162.83/163.11 (step @p166 :rule instantiate :premises (@p1) :args (@t129)) % 162.83/163.11 (step @p372 :rule symm :premises (@p160)) % 162.83/163.11 (step @p373 :rule trans :premises (@p372 @p80 @p88)) % 162.83/163.11 (step @p374 :rule refl :args (@t93)) % 162.83/163.11 (step @p375 :rule cong :premises (@p374 @p373) :args (@t268)) % 162.83/163.11 (step @p376 :rule symm :premises (@p249)) % 162.83/163.11 (step @p377 :rule refl :args (@t160)) % 162.83/163.11 (step @p378 :rule symm :premises (@p159)) % 162.83/163.11 (step @p379 :rule symm :premises (@p162)) % 162.83/163.11 (step @p380 :rule refl :args (@t109)) % 162.83/163.11 (step @p381 :rule cong :premises (@p380 @p134) :args (@t256)) % 162.83/163.11 (step @p382 :rule symm :premises (@p84)) % 162.83/163.11 (step @p118 :rule instantiate :premises (@p1) :args (@t106)) % 162.83/163.11 (step @p383 :rule trans :premises (@p118 @p382)) % 162.83/163.11 (step @p384 :rule cong :premises (@p380 @p383) :args (@t257)) % 162.83/163.11 (step @p385 :rule symm :premises (@p244)) % 162.83/163.11 (step @p386 :rule refl :args (tptp.one)) % 162.83/163.11 (step @p387 :rule cong :premises (@p74 @p386) :args (@t190)) % 162.83/163.11 (step @p388 :rule trans :premises (@p70 @p387)) % 162.83/163.11 (step @p389 :rule symm :premises (@p381)) % 162.83/163.11 (step @p390 :rule symm :premises (@p80)) % 162.83/163.11 (step @p391 :rule trans :premises (@p93 @p390 @p162 @p389)) % 162.83/163.11 (step @p392 :rule cong :premises (@p391 @p388) :args (@t135)) % 162.83/163.11 (step @p393 :rule trans :premises (@p189 @p392 @p385 @p384 @p381 @p379 @p80 @p88)) % 162.83/163.11 (step @p394 :rule cong :premises (@p393) :args (@t204)) % 162.83/163.11 (step @p395 :rule refl :args (@t77)) % 162.83/163.11 (step @p396 :rule cong :premises (@p395 @p394) :args (@t250)) % 162.83/163.11 (step @p397 :rule refl :args (@t204)) % 162.83/163.11 (step @p398 :rule cong :premises (@p370) :args (@t205)) % 162.83/163.11 (step @p399 :rule cong :premises (@p398 @p397) :args (@t206)) % 162.83/163.11 (step @p400 :rule trans :premises (@p124 @p399 @p396 @p378)) % 162.83/163.11 (step @p401 :rule cong :premises (@p400 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:rule scope :premises (@p857)) % 162.83/163.11 (step-pop @p859 :rule scope :premises (@p858)) % 162.83/163.11 (step-pop @p860 :rule scope :premises (@p859)) % 162.83/163.11 (step-pop @p861 :rule scope :premises (@p860)) % 162.83/163.11 (step-pop @p862 :rule scope :premises (@p861)) % 162.83/163.11 (step-pop @p863 :rule scope :premises (@p862)) % 162.83/163.11 (step-pop @p864 :rule scope :premises (@p863)) % 162.83/163.11 (step-pop @p865 :rule scope :premises (@p864)) % 162.83/163.11 (step-pop @p866 :rule scope :premises (@p865)) % 162.83/163.11 (step-pop @p867 :rule scope :premises (@p866)) % 162.83/163.11 (step-pop @p868 :rule scope :premises (@p867)) % 162.83/163.11 (step-pop @p869 :rule scope :premises (@p868)) % 162.83/163.11 (step-pop @p870 :rule scope :premises (@p869)) % 162.83/163.11 (step-pop @p871 :rule scope :premises (@p870)) % 162.83/163.11 (step-pop @p872 :rule scope :premises (@p871)) % 162.83/163.11 (step-pop @p873 :rule scope :premises (@p872)) % 162.83/163.11 (step-pop @p874 :rule scope :premises (@p873)) % 162.83/163.11 (step-pop @p875 :rule scope :premises (@p874)) % 162.83/163.11 (step-pop @p876 :rule scope :premises (@p875)) % 162.83/163.11 (step-pop @p877 :rule scope :premises (@p876)) % 162.83/163.11 (step-pop @p878 :rule scope :premises (@p877)) % 162.83/163.11 (step-pop @p879 :rule scope :premises (@p878)) % 162.83/163.11 (step-pop @p880 :rule scope :premises (@p879)) % 162.83/163.11 (step-pop @p881 :rule scope :premises (@p880)) % 162.83/163.11 (step-pop @p882 :rule scope :premises (@p881)) % 162.83/163.11 (step-pop @p883 :rule scope :premises (@p882)) % 162.83/163.11 (step-pop @p884 :rule scope :premises (@p883)) % 162.83/163.11 (step-pop @p885 :rule scope :premises (@p884)) % 162.83/163.11 (step-pop @p886 :rule scope :premises (@p885)) % 162.83/163.11 (step-pop @p887 :rule scope :premises (@p886)) % 162.83/163.11 (step-pop @p888 :rule scope :premises (@p887)) % 162.83/163.11 (step-pop @p889 :rule scope :premises (@p888)) % 162.83/163.11 (step-pop @p890 :rule scope :premises (@p889)) % 162.83/163.11 (step-pop @p891 :rule scope :premises (@p890)) % 162.83/163.11 (step-pop @p892 :rule scope :premises (@p891)) % 162.83/163.11 (step-pop @p893 :rule scope :premises (@p892)) % 162.83/163.11 (step-pop @p894 :rule scope :premises (@p893)) % 162.83/163.11 (step-pop @p895 :rule scope :premises (@p894)) % 162.83/163.11 (step-pop @p896 :rule scope :premises (@p895)) % 162.83/163.11 (step-pop @p897 :rule scope :premises (@p896)) % 162.83/163.11 (step-pop @p898 :rule scope :premises (@p897)) % 162.83/163.11 (step-pop @p899 :rule scope :premises (@p898)) % 162.83/163.11 (step-pop @p900 :rule scope :premises (@p899)) % 162.83/163.11 (step-pop @p901 :rule scope :premises (@p900)) % 162.83/163.11 (step-pop @p902 :rule scope :premises (@p901)) % 162.83/163.11 (step-pop @p903 :rule scope :premises (@p902)) % 162.83/163.11 (step-pop @p904 :rule scope :premises (@p903)) % 162.83/163.11 (step-pop @p905 :rule scope :premises (@p904)) % 162.83/163.11 (step-pop @p906 :rule scope :premises (@p905)) % 162.83/163.11 (step-pop @p907 :rule scope :premises (@p906)) % 162.83/163.11 (step-pop @p908 :rule scope :premises (@p907)) % 162.83/163.11 (step-pop @p909 :rule scope :premises (@p908)) % 162.83/163.11 (step-pop @p910 :rule scope :premises (@p909)) % 162.83/163.11 (step-pop @p911 :rule scope :premises (@p910)) % 162.83/163.11 (step-pop @p912 :rule scope :premises (@p911)) % 162.83/163.11 (step-pop @p913 :rule scope :premises (@p912)) % 162.83/163.11 (step-pop @p914 :rule scope :premises (@p913)) % 162.83/163.11 (step-pop @p915 :rule scope :premises (@p914)) % 162.83/163.11 (step-pop @p916 :rule scope :premises (@p915)) % 162.83/163.11 (step-pop @p917 :rule scope :premises (@p916)) % 162.83/163.11 (step-pop @p918 :rule scope :premises (@p917)) % 162.83/163.11 (step-pop @p919 :rule scope :premises (@p918)) % 162.83/163.11 (step-pop @p920 :rule scope :premises (@p919)) % 162.83/163.11 (step-pop @p921 :rule scope :premises (@p920)) % 162.83/163.11 (step-pop @p922 :rule scope :premises (@p921)) % 162.83/163.11 (step-pop @p923 :rule scope :premises (@p922)) % 162.83/163.12 (step-pop @p924 :rule scope :premises (@p923)) % 162.83/163.12 (step @p645 :rule process_scope :premises (@p924) :args (@t60)) % 162.83/163.12 (step @p726 :rule implies_elim :premises (@p645)) % 162.83/163.12 (step @p727 :rule cnf_and_neg :args (@t312)) % 162.83/163.12 (step @p728 :rule resolution :premises (@p727 @p726) :args (true @t312)) % 162.83/163.12 (step @p729 :rule reordering :premises (@p728) :args ((or @t66 @t65 @t60 (not @t72) (not @t182) (not @t184) (not @t186) (not @t188) (not @t189) (not @t191) (not @t192) (not @t194) (not @t196) (not @t197) (not @t198) (not @t82) (not @t200) (not @t201) (not @t203) (not @t90) (not @t98) (not @t107) (not @t207) (not @t114) (not @t119) (not @t209) (not @t210) (not @t211) (not @t212) (not @t215) (not @t220) (not @t222) (not @t224) (not @t225) (not @t226) (not @t228) (not @t230) (not @t232) (not @t235) (not @t236) (not @t130) (not @t134) (not @t138) (not @t142) (not @t147) (not @t152) (not @t159) (not @t239) (not @t241) (not @t244) (not @t247) (not @t249) (not @t252) (not @t254) (not @t164) (not @t255) (not @t258) (not @t260) (not @t263) (not @t264) (not @t267) (not @t269) (not @t270) (not @t273) (not @t275) (not @t278) (not @t280) (not @t171) (not @t285) (not @t287) (not @t288) (not @t292) (not @t295) (not @t296) (not @t179) (not @t297) (not @t300) (not @t302) (not @t305) (not @t307) (not @t309)))) % 162.83/163.12 (step @p730 false :rule chain_m_resolution :premises (@p729 @p285 @p284 @p283 @p282 @p281 @p280 @p279 @p269 @p268 @p267 @p266 @p265 @p264 @p263 @p254 @p253 @p252 @p251 @p250 @p249 @p248 @p247 @p246 @p245 @p244 @p243 @p242 @p232 @p231 @p230 @p229 @p228 @p227 @p226 @p225 @p216 @p207 @p198 @p189 @p180 @p171 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p134 @p124 @p123 @p114 @p105 @p96 @p95 @p94 @p93 @p84 @p80 @p79 @p78 @p74 @p70 @p66 @p65 @p64 @p63 @p62 @p61 @p51 @p49 @p43) :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 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) (@list @t309 @t307 @t305 @t302 @t300 @t297 @t179 @t296 @t295 @t292 @t288 @t287 @t285 @t171 @t280 @t278 @t275 @t273 @t270 @t269 @t267 @t264 @t263 @t260 @t258 @t255 @t164 @t254 @t252 @t249 @t247 @t244 @t241 @t239 @t159 @t152 @t147 @t142 @t138 @t134 @t130 @t236 @t235 @t232 @t230 @t228 @t226 @t225 @t224 @t222 @t220 @t215 @t212 @t211 @t210 @t209 @t119 @t114 @t207 @t107 @t98 @t90 @t203 @t201 @t200 @t82 @t198 @t197 @t196 @t194 @t192 @t191 @t189 @t188 @t186 @t184 @t182 @t72 @t60 @t64 @t55))) % 162.83/163.12 ) % 162.83/163.12 % SZS output end Proof % 162.83/163.12 % cvc5 exiting %------------------------------------------------------------------------------