%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP269-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:20:21 AM UTC 2026 % Result : Unsatisfiable 15.67s 15.99s % Output : Proof 15.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP269-1 : TPTP v9.2.1. Released v2.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:01:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/15.83 --- Run --no-e-matching --full-saturate-quant at 6... % 15.67/15.99 % SZS status Unsatisfiable % 15.67/15.99 % SZS output start Proof % 15.67/16.02 ( % 15.67/16.02 (declare-sort $$unsorted 0) % 15.67/16.02 (declare-const tptp.sk_c2 $$unsorted) % 15.67/16.02 (declare-const tptp.sk_c8 $$unsorted) % 15.67/16.02 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.67/16.02 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.67/16.02 (declare-const tptp.identity $$unsorted) % 15.67/16.02 (declare-const tptp.sk_c4 $$unsorted) % 15.67/16.02 (declare-const tptp.sk_c11 $$unsorted) % 15.67/16.02 (declare-const tptp.sk_c1 $$unsorted) % 15.67/16.02 (declare-const tptp.sk_c9 $$unsorted) % 15.67/16.02 (declare-const tptp.sk_c5 $$unsorted) % 15.67/16.02 (declare-const tptp.sk_c3 $$unsorted) % 15.67/16.02 (declare-const tptp.sk_c6 $$unsorted) % 15.67/16.02 (declare-const tptp.sk_c10 $$unsorted) % 15.67/16.02 (declare-const tptp.sk_c7 $$unsorted) % 15.67/16.02 (define @t1 () (@var "X" $$unsorted)) % 15.67/16.02 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.67/16.02 (define @t3 () (@list @t1)) % 15.67/16.02 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.67/16.02 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.67/16.02 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.67/16.02 (define @t7 () (@var "Z" $$unsorted)) % 15.67/16.02 (define @t8 () (@var "Y" $$unsorted)) % 15.67/16.02 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.67/16.02 (define @t10 () (tptp.multiply tptp.sk_c3 tptp.sk_c11)) % 15.67/16.02 (define @t11 () (= @t10 tptp.sk_c10)) % 15.67/16.02 (define @t12 () (tptp.multiply tptp.sk_c1 tptp.sk_c11)) % 15.67/16.02 (define @t13 () (= @t12 tptp.sk_c10)) % 15.67/16.02 (define @t14 () (or @t13 @t11)) % 15.67/16.02 (define @t15 () (tptp.inverse tptp.sk_c3)) % 15.67/16.02 (define @t16 () (= @t15 tptp.sk_c11)) % 15.67/16.02 (define @t17 () (or @t13 @t16)) % 15.67/16.02 (define @t18 () (tptp.multiply tptp.sk_c4 tptp.sk_c10)) % 15.67/16.02 (define @t19 () (= @t18 tptp.sk_c9)) % 15.67/16.02 (define @t20 () (or @t13 @t19)) % 15.67/16.02 (define @t21 () (tptp.inverse tptp.sk_c4)) % 15.67/16.02 (define @t22 () (= @t21 tptp.sk_c10)) % 15.67/16.02 (define @t23 () (or @t13 @t22)) % 15.67/16.02 (define @t24 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 15.67/16.02 (define @t25 () (= @t24 tptp.sk_c11)) % 15.67/16.02 (define @t26 () (or @t13 @t25)) % 15.67/16.02 (define @t27 () (tptp.inverse tptp.sk_c5)) % 15.67/16.02 (define @t28 () (= @t27 tptp.sk_c8)) % 15.67/16.02 (define @t29 () (or @t13 @t28)) % 15.67/16.02 (define @t30 () (tptp.multiply tptp.sk_c8 tptp.sk_c10)) % 15.67/16.02 (define @t31 () (= @t30 tptp.sk_c11)) % 15.67/16.02 (define @t32 () (or @t13 @t31)) % 15.67/16.02 (define @t33 () (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) % 15.67/16.02 (define @t34 () (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)) % 15.67/16.02 (define @t35 () (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) % 15.67/16.02 (define @t36 () (tptp.inverse tptp.sk_c1)) % 15.67/16.02 (define @t37 () (= @t36 tptp.sk_c11)) % 15.67/16.02 (define @t38 () (or @t37 @t11)) % 15.67/16.02 (define @t39 () (or @t37 @t16)) % 15.67/16.02 (define @t40 () (or @t37 @t19)) % 15.67/16.02 (define @t41 () (or @t37 @t22)) % 15.67/16.02 (define @t42 () (or @t37 @t25)) % 15.67/16.02 (define @t43 () (or @t37 @t28)) % 15.67/16.02 (define @t44 () (or @t37 @t31)) % 15.67/16.02 (define @t45 () (tptp.multiply tptp.sk_c11 tptp.sk_c9)) % 15.67/16.02 (define @t46 () (= @t45 tptp.sk_c10)) % 15.67/16.02 (define @t47 () (or @t46 @t19)) % 15.67/16.02 (define @t48 () (or @t46 @t22)) % 15.67/16.02 (define @t49 () (or @t46 @t25)) % 15.67/16.02 (define @t50 () (or @t46 @t28)) % 15.67/16.02 (define @t51 () (or @t46 @t31)) % 15.67/16.02 (define @t52 () (tptp.multiply tptp.sk_c2 tptp.sk_c11)) % 15.67/16.02 (define @t53 () (= @t52 tptp.sk_c9)) % 15.67/16.02 (define @t54 () (or @t53 @t16)) % 15.67/16.02 (define @t55 () (or @t53 @t19)) % 15.67/16.02 (define @t56 () (or @t53 @t22)) % 15.67/16.02 (define @t57 () (tptp.inverse tptp.sk_c2)) % 15.67/16.02 (define @t58 () (= @t57 tptp.sk_c11)) % 15.67/16.02 (define @t59 () (or @t58 @t16)) % 15.67/16.02 (define @t60 () (or @t58 @t19)) % 15.67/16.02 (define @t61 () (or @t58 @t22)) % 15.67/16.02 (define @t62 () (@var "X8" $$unsorted)) % 15.67/16.02 (define @t63 () (@var "X6" $$unsorted)) % 15.67/16.02 (define @t64 () (@var "X7" $$unsorted)) % 15.67/16.02 (define @t65 () (tptp.multiply @t64 @t63)) % 15.67/16.02 (define @t66 () (not (= @t65 @t62))) % 15.67/16.02 (define @t67 () (tptp.inverse @t62)) % 15.67/16.02 (define @t68 () (not (= @t67 @t63))) % 15.67/16.02 (define @t69 () (tptp.inverse @t64)) % 15.67/16.02 (define @t70 () (not (= @t69 @t62))) % 15.67/16.02 (define @t71 () (tptp.multiply @t63 tptp.sk_c10)) % 15.67/16.02 (define @t72 () (not (= @t71 tptp.sk_c11))) % 15.67/16.02 (define @t73 () (@var "X5" $$unsorted)) % 15.67/16.02 (define @t74 () (tptp.inverse @t73)) % 15.67/16.02 (define @t75 () (not (= @t74 @t63))) % 15.67/16.02 (define @t76 () (tptp.multiply @t73 @t63)) % 15.67/16.02 (define @t77 () (not (= @t76 tptp.sk_c11))) % 15.67/16.02 (define @t78 () (@var "X2" $$unsorted)) % 15.67/16.02 (define @t79 () (tptp.inverse @t78)) % 15.67/16.02 (define @t80 () (not (= @t79 tptp.sk_c10))) % 15.67/16.02 (define @t81 () (tptp.multiply @t78 tptp.sk_c10)) % 15.67/16.02 (define @t82 () (not (= @t81 tptp.sk_c9))) % 15.67/16.02 (define @t83 () (@var "X1" $$unsorted)) % 15.67/16.02 (define @t84 () (tptp.inverse @t83)) % 15.67/16.02 (define @t85 () (not (= @t84 tptp.sk_c11))) % 15.67/16.02 (define @t86 () (tptp.multiply @t83 tptp.sk_c11)) % 15.67/16.02 (define @t87 () (not (= @t86 tptp.sk_c10))) % 15.67/16.02 (define @t88 () (@var "X4" $$unsorted)) % 15.67/16.02 (define @t89 () (tptp.inverse @t88)) % 15.67/16.02 (define @t90 () (not (= @t89 tptp.sk_c11))) % 15.67/16.02 (define @t91 () (tptp.multiply @t88 tptp.sk_c11)) % 15.67/16.02 (define @t92 () (not (= @t91 tptp.sk_c9))) % 15.67/16.02 (define @t93 () (not @t46)) % 15.67/16.02 (define @t94 () (@var "X3" $$unsorted)) % 15.67/16.02 (define @t95 () (tptp.inverse @t94)) % 15.67/16.02 (define @t96 () (not (= @t95 tptp.sk_c11))) % 15.67/16.02 (define @t97 () (tptp.multiply @t94 tptp.sk_c11)) % 15.67/16.02 (define @t98 () (not (= @t97 tptp.sk_c10))) % 15.67/16.02 (define @t99 () (or @t98 @t96 @t93 @t92 @t90 @t87 @t85 @t82 @t80 @t77 @t75 @t72 @t70 @t68 @t66)) % 15.67/16.02 (define @t100 () (@list @t94 @t88 @t83 @t78 @t73 @t63 @t64 @t62)) % 15.67/16.02 (define @t101 () (forall @t100 @t99)) % 15.67/16.02 (define @t102 () (= tptp.sk_c11 @t36)) % 15.67/16.02 (define @t103 () (not @t102)) % 15.67/16.02 (define @t104 () (= tptp.sk_c10 @t12)) % 15.67/16.02 (define @t105 () (not @t104)) % 15.67/16.02 (define @t106 () (or @t105 @t103)) % 15.67/16.02 (define @t107 () (not (= tptp.sk_c11 @t95))) % 15.67/16.02 (define @t108 () (not (= tptp.sk_c10 @t97))) % 15.67/16.02 (define @t109 () (or @t108 @t107)) % 15.67/16.02 (define @t110 () (forall (@list @t94) @t109)) % 15.67/16.02 (define @t111 () (@list tptp.sk_c1)) % 15.67/16.02 (define @t112 () (@list tptp.sk_c11)) % 15.67/16.02 (define @t113 () (tptp.multiply tptp.identity tptp.identity)) % 15.67/16.02 (define @t114 () (= tptp.identity @t113)) % 15.67/16.02 (define @t115 () (tptp.multiply @t36 tptp.sk_c1)) % 15.67/16.02 (define @t116 () (= tptp.identity @t115)) % 15.67/16.02 (define @t117 () (tptp.multiply tptp.identity tptp.sk_c11)) % 15.67/16.02 (define @t118 () (= tptp.sk_c11 @t117)) % 15.67/16.02 (define @t119 () (tptp.multiply @t36 @t12)) % 15.67/16.02 (define @t120 () (tptp.multiply @t115 tptp.sk_c11)) % 15.67/16.02 (define @t121 () (= @t120 @t119)) % 15.67/16.02 (define @t122 () (tptp.multiply tptp.sk_c11 tptp.sk_c10)) % 15.67/16.02 (define @t123 () (tptp.multiply tptp.identity @t117)) % 15.67/16.02 (define @t124 () (tptp.multiply @t113 tptp.sk_c11)) % 15.67/16.02 (define @t125 () (tptp.multiply @t36 tptp.sk_c10)) % 15.67/16.02 (define @t126 () (= tptp.sk_c11 @t125)) % 15.67/16.02 (define @t127 () (and @t104 @t102 @t114 @t116 @t118 @t121)) % 15.67/16.02 (define @t128 () (@list false false false false)) % 15.67/16.02 (define @t129 () (= tptp.sk_c11 @t57)) % 15.67/16.02 (define @t130 () (= tptp.sk_c11 @t15)) % 15.67/16.02 (define @t131 () (= tptp.sk_c9 @t18)) % 15.67/16.02 (define @t132 () (= tptp.sk_c10 @t21)) % 15.67/16.02 (define @t133 () (not @t132)) % 15.67/16.02 (define @t134 () (not @t131)) % 15.67/16.02 (define @t135 () (or @t134 @t133)) % 15.67/16.02 (define @t136 () (not @t135)) % 15.67/16.02 (define @t137 () (not (= tptp.sk_c10 @t79))) % 15.67/16.02 (define @t138 () (not (= tptp.sk_c9 @t81))) % 15.67/16.02 (define @t139 () (or @t138 @t137)) % 15.67/16.02 (define @t140 () (forall (@list @t78) @t139)) % 15.67/16.02 (define @t141 () (@list tptp.sk_c4)) % 15.67/16.02 (define @t142 () (tptp.inverse tptp.sk_c11)) % 15.67/16.02 (define @t143 () (@list tptp.sk_c9)) % 15.67/16.02 (define @t144 () (= tptp.sk_c10 @t45)) % 15.67/16.02 (define @t145 () (tptp.multiply tptp.identity tptp.sk_c10)) % 15.67/16.02 (define @t146 () (= tptp.sk_c10 @t145)) % 15.67/16.02 (define @t147 () (tptp.multiply tptp.identity tptp.sk_c1)) % 15.67/16.02 (define @t148 () (= tptp.sk_c1 @t147)) % 15.67/16.02 (define @t149 () (tptp.multiply @t142 tptp.sk_c11)) % 15.67/16.02 (define @t150 () (= tptp.identity @t149)) % 15.67/16.02 (define @t151 () (tptp.multiply @t142 @t122)) % 15.67/16.02 (define @t152 () (tptp.multiply @t149 tptp.sk_c10)) % 15.67/16.02 (define @t153 () (= @t152 @t151)) % 15.67/16.02 (define @t154 () (tptp.multiply tptp.sk_c11 tptp.sk_c1)) % 15.67/16.02 (define @t155 () (tptp.multiply tptp.sk_c1 @t154)) % 15.67/16.02 (define @t156 () (tptp.multiply @t12 tptp.sk_c1)) % 15.67/16.02 (define @t157 () (= @t156 @t155)) % 15.67/16.02 (define @t158 () (tptp.multiply tptp.identity tptp.sk_c4)) % 15.67/16.02 (define @t159 () (tptp.multiply tptp.identity @t158)) % 15.67/16.02 (define @t160 () (tptp.multiply @t113 tptp.sk_c4)) % 15.67/16.02 (define @t161 () (= @t160 @t159)) % 15.67/16.02 (define @t162 () (= tptp.sk_c4 @t158)) % 15.67/16.02 (define @t163 () (tptp.multiply @t21 tptp.sk_c4)) % 15.67/16.02 (define @t164 () (= tptp.identity @t163)) % 15.67/16.02 (define @t165 () (tptp.multiply tptp.identity tptp.sk_c9)) % 15.67/16.02 (define @t166 () (tptp.multiply tptp.identity @t165)) % 15.67/16.02 (define @t167 () (tptp.multiply @t113 tptp.sk_c9)) % 15.67/16.02 (define @t168 () (= @t167 @t166)) % 15.67/16.02 (define @t169 () (= tptp.sk_c9 @t165)) % 15.67/16.02 (define @t170 () (tptp.inverse tptp.sk_c9)) % 15.67/16.02 (define @t171 () (tptp.multiply @t170 tptp.sk_c9)) % 15.67/16.02 (define @t172 () (= tptp.identity @t171)) % 15.67/16.02 (define @t173 () (tptp.multiply tptp.sk_c1 @t45)) % 15.67/16.02 (define @t174 () (tptp.multiply @t12 tptp.sk_c9)) % 15.67/16.02 (define @t175 () (= @t174 @t173)) % 15.67/16.02 (define @t176 () (tptp.multiply tptp.identity @t147)) % 15.67/16.02 (define @t177 () (tptp.multiply @t113 tptp.sk_c1)) % 15.67/16.02 (define @t178 () (tptp.multiply tptp.sk_c1 @t36)) % 15.67/16.02 (define @t179 () (= tptp.sk_c11 @t178)) % 15.67/16.02 (define @t180 () (and @t104 @t131 @t132 @t102 @t144 @t114 @t146 @t148 @t116 @t118 @t150 @t121 @t153 @t157 @t161 @t162 @t164 @t168 @t169 @t172 @t175)) % 15.67/16.02 (define @t181 () (not @t175)) % 15.67/16.02 (define @t182 () (not @t172)) % 15.67/16.02 (define @t183 () (not @t169)) % 15.67/16.02 (define @t184 () (not @t168)) % 15.67/16.02 (define @t185 () (not @t164)) % 15.67/16.02 (define @t186 () (not @t162)) % 15.67/16.02 (define @t187 () (not @t161)) % 15.67/16.02 (define @t188 () (not @t157)) % 15.67/16.02 (define @t189 () (not @t153)) % 15.67/16.02 (define @t190 () (not @t121)) % 15.67/16.02 (define @t191 () (not @t150)) % 15.67/16.02 (define @t192 () (not @t118)) % 15.67/16.02 (define @t193 () (not @t116)) % 15.67/16.02 (define @t194 () (not @t148)) % 15.67/16.02 (define @t195 () (not @t146)) % 15.67/16.02 (define @t196 () (not @t114)) % 15.67/16.02 (define @t197 () (not @t144)) % 15.67/16.02 (define @t198 () (= @t36 @t178)) % 15.67/16.02 (define @t199 () (tptp.inverse @t15)) % 15.67/16.02 (define @t200 () (tptp.inverse tptp.identity)) % 15.67/16.02 (define @t201 () (= @t36 (tptp.inverse @t36))) % 15.67/16.02 (define @t202 () (and @t104 @t130 @t131 @t132 @t102 @t144 @t114 @t146 @t148 @t116 @t118 @t150 @t121 @t153 @t157 @t161 @t162 @t164 @t168 @t169 @t172 @t175)) % 15.67/16.02 (define @t203 () (not @t130)) % 15.67/16.02 (define @t204 () (not @t198)) % 15.67/16.02 (define @t205 () (not @t201)) % 15.67/16.02 (define @t206 () (not @t126)) % 15.67/16.02 (define @t207 () (not @t179)) % 15.67/16.02 (define @t208 () (or @t207 @t206 @t205 @t204)) % 15.67/16.02 (define @t209 () (tptp.multiply @t64 @t74)) % 15.67/16.02 (define @t210 () (not (= @t69 @t209))) % 15.67/16.02 (define @t211 () (not (= @t74 (tptp.inverse @t69)))) % 15.67/16.02 (define @t212 () (not (= tptp.sk_c11 (tptp.multiply @t74 tptp.sk_c10)))) % 15.67/16.02 (define @t213 () (not (= tptp.sk_c11 (tptp.multiply @t73 @t74)))) % 15.67/16.02 (define @t214 () (or @t213 @t212 @t211 @t210)) % 15.67/16.02 (define @t215 () (@list @t73 @t64)) % 15.67/16.02 (define @t216 () (forall @t215 @t214)) % 15.67/16.02 (define @t217 () (not (= @t69 @t69))) % 15.67/16.02 (define @t218 () (or @t213 @t212 @t217 @t211 @t210)) % 15.67/16.02 (define @t219 () (not (= @t62 @t209))) % 15.67/16.02 (define @t220 () (not (= @t74 @t67))) % 15.67/16.02 (define @t221 () (not (= @t62 @t69))) % 15.67/16.02 (define @t222 () (or @t221 @t213 @t212 @t221 @t220 @t219)) % 15.67/16.02 (define @t223 () (@list @t62)) % 15.67/16.02 (define @t224 () (or @t213 @t212 @t221 @t220 @t219)) % 15.67/16.02 (define @t225 () (forall @t223 @t224)) % 15.67/16.02 (define @t226 () (forall @t215 @t225)) % 15.67/16.02 (define @t227 () (@list @t73 @t64 @t62)) % 15.67/16.02 (define @t228 () (not (= @t74 @t74))) % 15.67/16.02 (define @t229 () (or @t213 @t228 @t212 @t221 @t220 @t219)) % 15.67/16.02 (define @t230 () (not (= @t62 @t65))) % 15.67/16.02 (define @t231 () (not (= @t63 @t67))) % 15.67/16.02 (define @t232 () (not (= tptp.sk_c11 @t71))) % 15.67/16.02 (define @t233 () (not (= @t63 @t74))) % 15.67/16.02 (define @t234 () (not (= tptp.sk_c11 @t76))) % 15.67/16.02 (define @t235 () (or @t233 @t234 @t233 @t232 @t221 @t231 @t230)) % 15.67/16.02 (define @t236 () (@list @t63)) % 15.67/16.02 (define @t237 () (or @t234 @t233 @t232 @t221 @t231 @t230)) % 15.67/16.02 (define @t238 () (forall @t236 @t237)) % 15.67/16.02 (define @t239 () (forall @t227 @t238)) % 15.67/16.02 (define @t240 () (forall (@list @t73 @t64 @t62 @t63) @t237)) % 15.67/16.02 (define @t241 () (forall (@list @t73 @t63 @t64 @t62) @t237)) % 15.67/16.02 (define @t242 () (not (= tptp.sk_c11 @t84))) % 15.67/16.02 (define @t243 () (not (= tptp.sk_c10 @t86))) % 15.67/16.02 (define @t244 () (or @t243 @t242)) % 15.67/16.02 (define @t245 () (forall (@list @t83) @t244)) % 15.67/16.02 (define @t246 () (not (= tptp.sk_c11 @t89))) % 15.67/16.02 (define @t247 () (not (= tptp.sk_c9 @t91))) % 15.67/16.02 (define @t248 () (or @t247 @t246)) % 15.67/16.02 (define @t249 () (forall (@list @t88) @t248)) % 15.67/16.02 (define @t250 () (or @t197 @t110 @t249 @t245 @t140 @t241)) % 15.67/16.02 (define @t251 () (or @t197 @t109 @t248 @t244 @t139 @t237)) % 15.67/16.02 (define @t252 () (or @t108 @t107 @t197 @t247 @t246 @t243 @t242 @t138 @t137 @t234 @t233 @t232 @t221 @t231 @t230)) % 15.67/16.02 (define @t253 () (= @t12 tptp.sk_c9)) % 15.67/16.02 (define @t254 () (and @t104 @t131 @t132 @t102 @t114 @t146 @t116 @t118 @t150 @t121 @t153 @t161 @t162 @t164)) % 15.67/16.02 (define @t255 () (not @t253)) % 15.67/16.02 (define @t256 () (or @t255 @t103)) % 15.67/16.02 (define @t257 () (not (= tptp.sk_c9 @t12))) % 15.67/16.02 (define @t258 () (or @t257 @t103)) % 15.67/16.02 (define @t259 () (forall @t3 (= @t1 @t2))) % 15.67/16.02 (define @t260 () (forall @t3 (= tptp.identity @t5))) % 15.67/16.02 (define @t261 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c9 tptp.sk_c10))) % 15.67/16.02 (define @t262 () (and @t104 @t102 @t144 @t114 @t146 @t148 @t116 @t118 @t150 @t121 @t153 @t157 @t168 @t169 @t175)) % 15.67/16.02 (define @t263 () (not @t129)) % 15.67/16.02 (define @t264 () (= tptp.sk_c9 @t52)) % 15.67/16.02 (define @t265 () (not @t264)) % 15.67/16.02 (define @t266 () (or @t265 @t263)) % 15.67/16.02 (define @t267 () (@list tptp.sk_c2)) % 15.67/16.02 (define @t268 () (tptp.multiply @t57 tptp.sk_c2)) % 15.67/16.02 (define @t269 () (= tptp.identity @t268)) % 15.67/16.02 (define @t270 () (tptp.multiply @t268 tptp.sk_c11)) % 15.67/16.02 (define @t271 () (= @t270 (tptp.multiply @t57 @t52))) % 15.67/16.02 (define @t272 () (= tptp.sk_c10 @t170)) % 15.67/16.02 (define @t273 () (and @t104 @t102 @t144 @t264 @t129 @t114 @t146 @t148 @t116 @t118 @t150 @t121 @t153 @t157 @t168 @t169 @t175 @t269 @t271)) % 15.67/16.02 (define @t274 () (not @t271)) % 15.67/16.02 (define @t275 () (not @t269)) % 15.67/16.02 (define @t276 () (not @t272)) % 15.67/16.02 (define @t277 () (not @t261)) % 15.67/16.02 (define @t278 () (or @t277 @t276)) % 15.67/16.02 (define @t279 () (tptp.multiply @t142 @t154)) % 15.67/16.02 (define @t280 () (tptp.multiply @t149 tptp.sk_c1)) % 15.67/16.02 (define @t281 () (= @t280 @t279)) % 15.67/16.02 (define @t282 () (and @t104 @t102 @t144 @t264 @t129 @t114 @t146 @t148 @t116 @t118 @t150 @t121 @t153 @t157 @t168 @t169 @t175 @t269 @t281 @t271)) % 15.67/16.02 (define @t283 () (not @t281)) % 15.67/16.02 (define @t284 () (= tptp.sk_c11 @t24)) % 15.67/16.02 (define @t285 () (= tptp.sk_c8 @t27)) % 15.67/16.02 (define @t286 () (= tptp.sk_c11 @t30)) % 15.67/16.02 (define @t287 () (@list tptp.sk_c5)) % 15.67/16.02 (define @t288 () (tptp.multiply tptp.sk_c11 tptp.sk_c5)) % 15.67/16.02 (define @t289 () (tptp.multiply tptp.sk_c1 @t288)) % 15.67/16.02 (define @t290 () (tptp.multiply @t12 tptp.sk_c5)) % 15.67/16.02 (define @t291 () (= @t290 @t289)) % 15.67/16.02 (define @t292 () (not @t291)) % 15.67/16.02 (define @t293 () (tptp.multiply tptp.sk_c10 tptp.sk_c5)) % 15.67/16.02 (define @t294 () (tptp.multiply tptp.sk_c8 @t293)) % 15.67/16.02 (define @t295 () (tptp.multiply @t30 tptp.sk_c5)) % 15.67/16.02 (define @t296 () (= @t295 @t294)) % 15.67/16.02 (define @t297 () (not @t296)) % 15.67/16.02 (define @t298 () (tptp.multiply @t27 tptp.sk_c5)) % 15.67/16.02 (define @t299 () (= tptp.identity @t298)) % 15.67/16.02 (define @t300 () (not @t299)) % 15.67/16.02 (define @t301 () (tptp.multiply tptp.identity tptp.sk_c5)) % 15.67/16.02 (define @t302 () (= tptp.sk_c5 @t301)) % 15.67/16.02 (define @t303 () (not @t302)) % 15.67/16.02 (define @t304 () (tptp.multiply tptp.identity @t301)) % 15.67/16.02 (define @t305 () (tptp.multiply @t113 tptp.sk_c5)) % 15.67/16.02 (define @t306 () (= @t305 @t304)) % 15.67/16.02 (define @t307 () (not @t306)) % 15.67/16.02 (define @t308 () (not @t286)) % 15.67/16.02 (define @t309 () (not @t285)) % 15.67/16.02 (define @t310 () (not @t284)) % 15.67/16.02 (define @t311 () (= tptp.sk_c10 @t27)) % 15.67/16.02 (define @t312 () (not @t311)) % 15.67/16.02 (define @t313 () (tptp.multiply tptp.sk_c1 tptp.identity)) % 15.67/16.02 (define @t314 () (and @t312 @t311)) % 15.67/16.02 (define @t315 () (= tptp.sk_c10 @t10)) % 15.67/16.02 (define @t316 () (not @t315)) % 15.67/16.02 (define @t317 () (or @t316 @t203)) % 15.67/16.02 (define @t318 () (not @t317)) % 15.67/16.02 (define @t319 () (@list tptp.sk_c3)) % 15.67/16.02 (define @t320 () (tptp.multiply tptp.identity tptp.sk_c3)) % 15.67/16.02 (define @t321 () (tptp.multiply tptp.identity @t320)) % 15.67/16.02 (define @t322 () (= (tptp.multiply @t113 tptp.sk_c3) @t321)) % 15.67/16.02 (define @t323 () (= tptp.sk_c3 @t320)) % 15.67/16.02 (define @t324 () (tptp.multiply @t15 tptp.sk_c3)) % 15.67/16.02 (define @t325 () (= tptp.identity @t324)) % 15.67/16.02 (define @t326 () (tptp.multiply tptp.sk_c11 tptp.sk_c3)) % 15.67/16.02 (define @t327 () (tptp.multiply tptp.sk_c1 @t326)) % 15.67/16.02 (define @t328 () (tptp.multiply @t12 tptp.sk_c3)) % 15.67/16.02 (define @t329 () (= @t328 @t327)) % 15.67/16.02 (define @t330 () (tptp.multiply @t21 @t18)) % 15.67/16.02 (define @t331 () (= (tptp.multiply @t163 tptp.sk_c10) @t330)) % 15.67/16.02 (define @t332 () (tptp.multiply @t15 @t10)) % 15.67/16.02 (define @t333 () (tptp.multiply @t324 tptp.sk_c11)) % 15.67/16.02 (define @t334 () (= @t333 @t332)) % 15.67/16.02 (define @t335 () (tptp.multiply @t15 tptp.sk_c10)) % 15.67/16.02 (define @t336 () (and @t104 @t315 @t130 @t131 @t132 @t284 @t285 @t286 @t114 @t146 @t118 @t150 @t153 @t322 @t323 @t325 @t164 @t168 @t169 @t306 @t302 @t299 @t329 @t296 @t291 @t331 @t334)) % 15.67/16.02 (define @t337 () (not @t334)) % 15.67/16.02 (define @t338 () (not @t331)) % 15.67/16.02 (define @t339 () (not @t325)) % 15.67/16.02 (define @t340 () (not @t323)) % 15.67/16.02 (define @t341 () (not @t322)) % 15.67/16.02 (define @t342 () (= @t10 tptp.sk_c9)) % 15.67/16.02 (define @t343 () (not @t342)) % 15.67/16.02 (define @t344 () (and @t343 @t315 @t253 @t104 @t146)) % 15.67/16.02 (define @t345 () (or @t343 @t203)) % 15.67/16.02 (define @t346 () (not @t345)) % 15.67/16.02 (define @t347 () (not (= tptp.sk_c9 @t10))) % 15.67/16.02 (define @t348 () (or @t347 @t203)) % 15.67/16.02 (define @t349 () (tptp.multiply tptp.sk_c3 @t15)) % 15.67/16.02 (define @t350 () (= @t15 @t349)) % 15.67/16.02 (define @t351 () (not @t350)) % 15.67/16.02 (define @t352 () (= @t15 @t199)) % 15.67/16.02 (define @t353 () (not @t352)) % 15.67/16.02 (define @t354 () (= tptp.sk_c11 @t335)) % 15.67/16.02 (define @t355 () (not @t354)) % 15.67/16.02 (define @t356 () (= tptp.sk_c11 @t349)) % 15.67/16.02 (define @t357 () (not @t356)) % 15.67/16.02 (define @t358 () (or @t357 @t355 @t353 @t351)) % 15.67/16.02 (define @t359 () (tptp.multiply tptp.identity tptp.sk_c8)) % 15.67/16.02 (define @t360 () (tptp.multiply @t113 tptp.sk_c8)) % 15.67/16.02 (define @t361 () (= @t360 (tptp.multiply tptp.identity @t359))) % 15.67/16.02 (define @t362 () (= tptp.sk_c8 @t359)) % 15.67/16.02 (define @t363 () (tptp.multiply tptp.sk_c11 tptp.sk_c11)) % 15.67/16.02 (define @t364 () (tptp.multiply tptp.sk_c1 @t363)) % 15.67/16.02 (define @t365 () (= (tptp.multiply @t12 tptp.sk_c11) @t364)) % 15.67/16.02 (define @t366 () (tptp.multiply @t288 tptp.sk_c8)) % 15.67/16.02 (define @t367 () (= @t366 (tptp.multiply tptp.sk_c11 @t24))) % 15.67/16.02 (define @t368 () (and @t104 @t315 @t130 @t284 @t285 @t286 @t114 @t146 @t118 @t150 @t153 @t322 @t323 @t325 @t306 @t302 @t299 @t361 @t362 @t329 @t365 @t296 @t291 @t367 @t334)) % 15.67/16.02 (define @t369 () (tptp.inverse @t27)) % 15.67/16.02 (define @t370 () (and @t104 @t315 @t130 @t132 @t284 @t285 @t286 @t114 @t146 @t118 @t150 @t153 @t322 @t323 @t325 @t161 @t162 @t164 @t306 @t302 @t299 @t329 @t296 @t291 @t334)) % 15.67/16.02 (define @t371 () (and @t315 @t114 @t118 @t325 @t334)) % 15.67/16.02 (define @t372 () (not @t358)) % 15.67/16.02 (define @t373 () (@list true)) % 15.67/16.02 (define @t374 () (@list @t104)) % 15.67/16.02 (define @t375 () (@list false false)) % 15.67/16.02 (define @t376 () (and @t315 @t130 @t131 @t132 @t114 @t146 @t118 @t150 @t153 @t325 @t164 @t168 @t169 @t331 @t334)) % 15.67/16.02 (define @t377 () (tptp.multiply @t142 @t326)) % 15.67/16.02 (define @t378 () (tptp.multiply @t149 tptp.sk_c3)) % 15.67/16.02 (define @t379 () (= @t378 @t377)) % 15.67/16.02 (define @t380 () (tptp.multiply @t142 @t288)) % 15.67/16.02 (define @t381 () (tptp.multiply @t149 tptp.sk_c5)) % 15.67/16.02 (define @t382 () (= @t381 @t380)) % 15.67/16.02 (define @t383 () (and @t315 @t130 @t131 @t132 @t284 @t285 @t286 @t114 @t146 @t118 @t150 @t153 @t322 @t323 @t325 @t164 @t168 @t169 @t306 @t302 @t299 @t379 @t296 @t382 @t331 @t334)) % 15.67/16.02 (define @t384 () (and @t315 @t130 @t284 @t285 @t286 @t114 @t146 @t118 @t150 @t153 @t322 @t323 @t325 @t306 @t302 @t299 @t379 @t296 @t382 @t334)) % 15.67/16.02 (define @t385 () (@list false false false false false false false false false false false false false false false false false false false false)) % 15.67/16.02 (define @t386 () (@list @t315 @t130 @t284 @t285 @t286 @t114 @t146 @t118 @t150 @t153 @t322 @t323 @t325 @t306 @t302 @t299 @t379 @t296 @t382 @t334)) % 15.67/16.02 (define @t387 () (and @t315 @t130 @t132 @t284 @t285 @t286 @t114 @t146 @t118 @t150 @t153 @t322 @t323 @t325 @t161 @t162 @t164 @t306 @t302 @t299 @t379 @t296 @t382 @t334)) % 15.67/16.02 (assume @p1 @t4) % 15.67/16.02 (assume @p2 @t6) % 15.67/16.02 (assume @p3 @t9) % 15.67/16.02 (assume @p4 @t14) % 15.67/16.02 (assume @p5 @t17) % 15.67/16.02 (assume @p6 @t20) % 15.67/16.02 (assume @p7 @t23) % 15.67/16.02 (assume @p8 @t26) % 15.67/16.02 (assume @p9 @t29) % 15.67/16.02 (assume @p10 @t32) % 15.67/16.02 (assume @p11 (or @t13 @t33)) % 15.67/16.02 (assume @p12 (or @t13 @t34)) % 15.67/16.02 (assume @p13 (or @t13 @t35)) % 15.67/16.02 (assume @p14 @t38) % 15.67/16.02 (assume @p15 @t39) % 15.67/16.02 (assume @p16 @t40) % 15.67/16.02 (assume @p17 @t41) % 15.67/16.02 (assume @p18 @t42) % 15.67/16.02 (assume @p19 @t43) % 15.67/16.02 (assume @p20 @t44) % 15.67/16.02 (assume @p21 (or @t37 @t33)) % 15.67/16.02 (assume @p22 (or @t37 @t34)) % 15.67/16.02 (assume @p23 (or @t37 @t35)) % 15.67/16.02 (assume @p24 (or @t46 @t11)) % 15.67/16.02 (assume @p25 (or @t46 @t16)) % 15.67/16.02 (assume @p26 @t47) % 15.67/16.02 (assume @p27 @t48) % 15.67/16.02 (assume @p28 @t49) % 15.67/16.02 (assume @p29 @t50) % 15.67/16.02 (assume @p30 @t51) % 15.67/16.02 (assume @p31 (or @t46 @t33)) % 15.67/16.02 (assume @p32 (or @t46 @t34)) % 15.67/16.02 (assume @p33 (or @t46 @t35)) % 15.67/16.02 (assume @p34 (or @t53 @t11)) % 15.67/16.02 (assume @p35 @t54) % 15.67/16.02 (assume @p36 @t55) % 15.67/16.02 (assume @p37 @t56) % 15.67/16.02 (assume @p38 (or @t53 @t25)) % 15.67/16.02 (assume @p39 (or @t53 @t28)) % 15.67/16.02 (assume @p40 (or @t53 @t31)) % 15.67/16.02 (assume @p41 (or @t53 @t33)) % 15.67/16.02 (assume @p42 (or @t53 @t34)) % 15.67/16.02 (assume @p43 (or @t53 @t35)) % 15.67/16.02 (assume @p44 (or @t58 @t11)) % 15.67/16.02 (assume @p45 @t59) % 15.67/16.02 (assume @p46 @t60) % 15.67/16.02 (assume @p47 @t61) % 15.67/16.02 (assume @p48 (or @t58 @t25)) % 15.67/16.02 (assume @p49 (or @t58 @t28)) % 15.67/16.02 (assume @p50 (or @t58 @t31)) % 15.67/16.02 (assume @p51 (or @t58 @t33)) % 15.67/16.02 (assume @p52 (or @t58 @t34)) % 15.67/16.02 (assume @p53 (or @t58 @t35)) % 15.67/16.02 (assume @p54 @t101) % 15.67/16.02 (step @p55 :rule cnf_or_pos :args (@t106)) % 15.67/16.02 (step @p56 :rule reordering :premises (@p55) :args ((or @t105 @t103 (not @t106)))) % 15.67/16.02 (assume-push @p3143 @t110) % 15.67/16.02 (step @p58 :rule instantiate :premises (@p3143) :args (@t111)) % 15.67/16.02 (step-pop @p3144 :rule scope :premises (@p58)) % 15.67/16.02 (step @p59 :rule process_scope :premises (@p3144) :args (@t106)) % 15.67/16.02 (step @p61 :rule implies_elim :premises (@p59)) % 15.67/16.02 (step @p62 :rule alpha_equiv :args (@t110 (@list @t94) (@list @t83))) % 15.67/16.02 (step @p63 :rule equiv_elim2 :premises (@p62)) % 15.67/16.02 (step @p64 :rule eq-symm :args (@t2 @t1)) % 15.67/16.02 (step @p65 :rule cong :premises (@p64) :args (@t4)) % 15.67/16.02 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 15.67/16.02 (step @p67 :rule instantiate :premises (@p66) :args ((@list tptp.identity))) % 15.67/16.02 (step @p68 :rule eq-symm :args (@t5 tptp.identity)) % 15.67/16.02 (step @p69 :rule cong :premises (@p68) :args (@t6)) % 15.67/16.02 (step @p70 :rule eq_resolve :premises (@p2 @p69)) % 15.67/16.02 (step @p71 :rule instantiate :premises (@p70) :args (@t111)) % 15.67/16.02 (step @p72 :rule instantiate :premises (@p66) :args (@t112)) % 15.67/16.02 (step @p73 :rule instantiate :premises (@p3) :args ((@list @t36 tptp.sk_c1 tptp.sk_c11))) % 15.67/16.02 (assume-push @p3145 @t104) % 15.67/16.02 (assume-push @p3146 @t102) % 15.67/16.02 (assume-push @p3147 @t114) % 15.67/16.02 (assume-push @p3148 @t116) % 15.67/16.02 (assume-push @p3149 @t118) % 15.67/16.02 (assume-push @p3150 @t121) % 15.67/16.02 (assume-push @p3151 @t102) % 15.67/16.02 (assume-push @p3152 @t104) % 15.67/16.02 (assume-push @p3153 @t121) % 15.67/16.02 (assume-push @p3154 @t116) % 15.67/16.02 (assume-push @p3155 @t118) % 15.67/16.02 (assume-push @p3156 @t114) % 15.67/16.02 (step @p86 :rule refl :args (tptp.sk_c10)) % 15.67/16.02 (step @p87 :rule cong :premises (@p3146 @p86) :args (@t122)) % 15.67/16.02 (step @p88 :rule symm :premises (@p3145)) % 15.67/16.02 (step @p89 :rule symm :premises (@p3146)) % 15.67/16.02 (step @p90 :rule cong :premises (@p89 @p88) :args (@t119)) % 15.67/16.02 (step @p91 :rule symm :premises (@p72)) % 15.67/16.02 (step @p92 :rule cong :premises (@p71 @p91) :args (@t123)) % 15.67/16.02 (step @p93 :rule symm :premises (@p67)) % 15.67/16.02 (step @p94 :rule cong :premises (@p93 @p72) :args (@t124)) % 15.67/16.02 (step @p95 :rule refl :args (tptp.sk_c11)) % 15.67/16.02 (step @p96 :rule cong :premises (@p67 @p95) :args (@t117)) % 15.67/16.02 (step @p97 :rule trans :premises (@p72 @p96 @p94 @p92 @p73 @p90 @p87)) % 15.67/16.02 (step-pop @p3157 :rule scope :premises (@p97)) % 15.67/16.02 (step-pop @p3158 :rule scope :premises (@p3157)) % 15.67/16.02 (step-pop @p3159 :rule scope :premises (@p3158)) % 15.67/16.02 (step-pop @p3160 :rule scope :premises (@p3159)) % 15.67/16.02 (step-pop @p3161 :rule scope :premises (@p3160)) % 15.67/16.02 (step-pop @p3162 :rule scope :premises (@p3161)) % 15.67/16.02 (step @p98 :rule process_scope :premises (@p3162) :args (@t126)) % 15.67/16.02 (step @p105 :rule and_intro :premises (@p3146 @p3145 @p73 @p71 @p72 @p67)) % 15.67/16.02 (step @p106 :rule modus_ponens :premises (@p105 @p98)) % 15.67/16.02 (step-pop @p3163 :rule scope :premises (@p106)) % 15.67/16.02 (step-pop @p3164 :rule scope :premises (@p3163)) % 15.67/16.02 (step-pop @p3165 :rule scope :premises (@p3164)) % 15.67/16.02 (step-pop @p3166 :rule scope :premises (@p3165)) % 15.67/16.02 (step-pop @p3167 :rule scope :premises (@p3166)) % 15.67/16.02 (step-pop @p3168 :rule scope :premises (@p3167)) % 15.67/16.02 (step @p107 :rule process_scope :premises (@p3168) :args (@t126)) % 15.67/16.02 (step @p114 :rule implies_elim :premises (@p107)) % 15.67/16.02 (step @p115 :rule cnf_and_neg :args (@t127)) % 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(assume-push @p3200 @t114) % 15.67/16.02 (assume-push @p3201 @t172) % 15.67/16.02 (assume-push @p3202 @t169) % 15.67/16.02 (assume-push @p3203 @t168) % 15.67/16.02 (assume-push @p3204 @t175) % 15.67/16.02 (assume-push @p3205 @t144) % 15.67/16.02 (assume-push @p3206 @t157) % 15.67/16.02 (assume-push @p3207 @t148) % 15.67/16.02 (assume-push @p3208 @t131) % 15.67/16.02 (assume-push @p3209 @t162) % 15.67/16.02 (assume-push @p3210 @t161) % 15.67/16.02 (assume-push @p3211 @t132) % 15.67/16.02 (assume-push @p3212 @t164) % 15.67/16.02 (step @p192 :rule refl :args (tptp.sk_c1)) % 15.67/16.02 (step @p193 :rule cong :premises (@p192 @p3174) :args (@t12)) % 15.67/16.02 (step @p194 :rule symm :premises (@p138)) % 15.67/16.02 (step @p86 :rule refl :args (tptp.sk_c10)) % 15.67/16.02 (step @p195 :rule symm :premises (@p140)) % 15.67/16.02 (step @p196 :rule cong :premises (@p195 @p86) :args (@t152)) % 15.67/16.02 (step @p197 :rule symm :premises (@p141)) % 15.67/16.02 (step @p198 :rule symm :premises 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15.67/16.02 (step @p236 :rule cong :premises (@p235) :args (@t36)) % 15.67/16.02 (step @p237 :rule trans :premises (@p3174 @p236)) % 15.67/16.02 (step @p238 :rule cong :premises (@p237 @p218) :args (@t122)) % 15.67/16.02 (step @p239 :rule trans :premises (@p72 @p96 @p94 @p92 @p73 @p200 @p238 @p204 @p140 @p203 @p197 @p196 @p194 @p3171 @p193)) % 15.67/16.02 (step-pop @p3213 :rule scope :premises (@p239)) % 15.67/16.02 (step-pop @p3214 :rule scope :premises (@p3213)) % 15.67/16.02 (step-pop @p3215 :rule scope :premises (@p3214)) % 15.67/16.02 (step-pop @p3216 :rule scope :premises (@p3215)) % 15.67/16.02 (step-pop @p3217 :rule scope :premises (@p3216)) % 15.67/16.02 (step-pop @p3218 :rule scope :premises (@p3217)) % 15.67/16.02 (step-pop @p3219 :rule scope :premises (@p3218)) % 15.67/16.02 (step-pop @p3220 :rule scope :premises (@p3219)) % 15.67/16.03 (step-pop @p3221 :rule scope :premises (@p3220)) % 15.67/16.03 (step-pop @p3222 :rule scope :premises (@p3221)) % 15.67/16.03 (step-pop 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@p86 :rule refl :args (tptp.sk_c10)) % 15.85/16.03 (step @p196 :rule cong :premises (@p195 @p86) :args (@t152)) % 15.85/16.03 (step @p212 :rule symm :premises (@p196)) % 15.85/16.03 (step @p1347 :rule symm :premises (@p3891)) % 15.85/16.03 (step @p1348 :rule trans :premises (@p1347 @p138 @p212 @p141 @p1346 @p195)) % 15.85/16.03 (step @p1349 :rule cong :premises (@p1348 @p147) :args (@t174)) % 15.85/16.03 (step @p225 :rule symm :premises (@p149)) % 15.85/16.03 (step @p194 :rule symm :premises (@p138)) % 15.85/16.03 (step @p197 :rule symm :premises (@p141)) % 15.85/16.03 (step @p1350 :rule symm :premises (@p1346)) % 15.85/16.03 (step @p192 :rule refl :args (tptp.sk_c1)) % 15.85/16.03 (step @p1351 :rule cong :premises (@p3892 @p192) :args (@t154)) % 15.85/16.03 (step @p1352 :rule trans :premises (@p1351 @p226 @p140 @p1350 @p197 @p196 @p194 @p3893)) % 15.85/16.03 (step @p1353 :rule cong :premises (@p192 @p1352) :args (@t155)) % 15.85/16.03 (step @p230 :rule symm :premises (@p139)) % 15.85/16.03 (step @p1354 :rule symm :premises (@p1348)) % 15.85/16.03 (step @p1355 :rule cong :premises (@p1354 @p230) :args (@t176)) % 15.85/16.03 (step @p233 :rule cong :premises (@p93 @p139) :args (@t177)) % 15.85/16.03 (step @p234 :rule cong :premises (@p67 @p192) :args (@t147)) % 15.85/16.03 (step @p1356 :rule trans :premises (@p139 @p234 @p233 @p1355 @p142 @p1353 @p225 @p1349 @p222 @p221 @p219 @p3894)) % 15.85/16.03 (step @p1357 :rule cong :premises (@p3895 @p1356) :args (@t154)) % 15.85/16.03 (step @p1358 :rule symm :premises (@p1351)) % 15.85/16.03 (step @p1359 :rule trans :premises (@p71 @p1358 @p1357 @p912 @p911 @p438 @p437 @p91 @p3892)) % 15.85/16.03 (step @p455 :rule cong :premises (@p93 @p192) :args (@t177)) % 15.85/16.03 (step @p456 :rule cong :premises (@p67 @p230) :args (@t176)) % 15.85/16.03 (step @p1027 :rule cong :premises (@p195 @p139) :args (@t280)) % 15.85/16.03 (step @p1028 :rule symm :premises (@p970)) % 15.85/16.03 (step @p1360 :rule symm :premises (@p1357)) % 15.85/16.03 (step @p1030 :rule symm :premises (@p911)) % 15.85/16.03 (step @p1361 :rule trans :premises (@p1344 @p440 @p439 @p1030 @p857 @p1360)) % 15.85/16.03 (step @p1362 :rule cong :premises (@p202 @p1361) :args (@t151)) % 15.85/16.03 (step @p1363 :rule trans :premises (@p140 @p1350 @p1362 @p1028 @p1027 @p456 @p455 @p230)) % 15.85/16.03 (step @p1364 :rule cong :premises (@p1363 @p1359) :args (@t113)) % 15.85/16.03 (step @p94 :rule cong :premises (@p93 @p72) :args (@t124)) % 15.85/16.03 (step @p96 :rule cong :premises (@p67 @p95) :args (@t117)) % 15.85/16.03 (step @p1365 :rule symm :premises (@p3892)) % 15.85/16.03 (step @p1366 :rule trans :premises (@p1365 @p72 @p96 @p94 @p1030 @p857 @p1360 @p1351 @p226 @p67 @p1364)) % 15.85/16.03 (step-pop @p3931 :rule scope :premises (@p1366)) % 15.85/16.03 (step-pop @p3932 :rule scope :premises (@p3931)) % 15.85/16.03 (step-pop @p3933 :rule scope :premises (@p3932)) % 15.85/16.03 (step-pop @p3934 :rule scope :premises (@p3933)) % 15.85/16.03 (step-pop @p3935 :rule scope :premises (@p3934)) % 15.85/16.03 (step-pop @p3936 :rule scope :premises (@p3935)) % 15.85/16.03 (step-pop @p3937 :rule scope :premises (@p3936)) % 15.85/16.03 (step-pop @p3938 :rule scope :premises (@p3937)) % 15.85/16.03 (step-pop @p3939 :rule scope :premises (@p3938)) % 15.85/16.03 (step-pop @p3940 :rule scope :premises (@p3939)) % 15.85/16.03 (step-pop @p3941 :rule scope :premises (@p3940)) % 15.85/16.03 (step-pop @p3942 :rule scope :premises (@p3941)) % 15.85/16.03 (step-pop @p3943 :rule scope :premises (@p3942)) % 15.85/16.03 (step-pop @p3944 :rule scope :premises (@p3943)) % 15.85/16.03 (step-pop @p3945 :rule scope :premises (@p3944)) % 15.85/16.03 (step-pop @p3946 :rule scope :premises (@p3945)) % 15.85/16.03 (step-pop @p3947 :rule scope :premises (@p3946)) % 15.85/16.03 (step-pop @p3948 :rule scope :premises (@p3947)) % 15.85/16.03 (step-pop @p3949 :rule scope :premises (@p3948)) % 15.85/16.03 (step-pop @p3950 :rule scope :premises (@p3949)) % 15.85/16.03 (step @p1367 :rule process_scope :premises (@p3950) :args (@t198)) % 15.85/16.03 (step @p1388 :rule and_intro :premises (@p139 @p67 @p140 @p970 @p3895 @p72 @p71 @p73 @p3892 @p3891 @p141 @p138 @p142 @p3893 @p149 @p147 @p146 @p3894 @p857 @p856)) % 15.85/16.03 (step @p1389 :rule modus_ponens :premises (@p1388 @p1367)) % 15.85/16.03 (step-pop @p3951 :rule scope :premises (@p1389)) % 15.85/16.03 (step-pop @p3952 :rule scope :premises (@p3951)) % 15.85/16.03 (step-pop @p3953 :rule scope :premises (@p3952)) % 15.85/16.03 (step-pop @p3954 :rule scope :premises (@p3953)) % 15.85/16.03 (step-pop @p3955 :rule scope :premises (@p3954)) % 15.85/16.03 (step-pop @p3956 :rule scope :premises (@p3955)) % 15.85/16.03 (step-pop @p3957 :rule scope :premises (@p3956)) % 15.85/16.03 (step-pop @p3958 :rule scope :premises (@p3957)) % 15.85/16.03 (step-pop @p3959 :rule scope :premises (@p3958)) % 15.85/16.03 (step-pop @p3960 :rule scope :premises (@p3959)) % 15.85/16.03 (step-pop @p3961 :rule scope :premises (@p3960)) % 15.85/16.03 (step-pop @p3962 :rule scope :premises (@p3961)) % 15.85/16.03 (step-pop @p3963 :rule scope :premises (@p3962)) % 15.85/16.03 (step-pop @p3964 :rule scope :premises (@p3963)) % 15.85/16.03 (step-pop @p3965 :rule scope :premises (@p3964)) % 15.85/16.03 (step-pop @p3966 :rule scope :premises (@p3965)) % 15.85/16.03 (step-pop @p3967 :rule scope :premises (@p3966)) % 15.85/16.03 (step-pop @p3968 :rule scope :premises (@p3967)) % 15.85/16.03 (step-pop @p3969 :rule scope :premises (@p3968)) % 15.85/16.03 (step-pop @p3970 :rule scope :premises (@p3969)) % 15.85/16.03 (step @p1390 :rule process_scope :premises (@p3970) :args (@t198)) % 15.85/16.03 (step @p1411 :rule implies_elim :premises (@p1390)) % 15.85/16.03 (step @p1412 :rule resolution :premises (@p1081 @p1411) :args (true @t282)) % 15.85/16.03 (step @p1413 :rule reordering :premises (@p1412) :args ((or @t197 @t105 @t103 @t265 @t263 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t184 @t183 @t181 @t275 @t283 @t274 @t198))) % 15.85/16.03 (step @p1414 :rule chain_m_resolution :premises (@p535 @p530 @p1413 @p857 @p970 @p856 @p149 @p147 @p146 @p142 @p141 @p73 @p140 @p72 @p71 @p139 @p138 @p67 @p1303 @p857 @p970 @p856 @p149 @p147 @p146 @p142 @p141 @p73 @p140 @p72 @p71 @p139 @p138 @p67 @p1187 @p857 @p856 @p149 @p147 @p146 @p142 @p141 @p73 @p140 @p72 @p71 @p139 @p138 @p67 @p1083 @p857 @p970 @p856 @p149 @p147 @p146 @p142 @p141 @p73 @p140 @p72 @p71 @p139 @p138 @p67 @p622 @p969 @p964 @p962 @p857 @p856 @p149 @p147 @p146 @p142 @p141 @p73 @p140 @p72 @p71 @p139 @p138 @p67 @p855 @p850 @p848 @p761 @p757 @p753 @p749 @p745 @p741 @p70 @p737 @p733 @p729 @p725 @p721 @p66 @p717 @p3 @p63 @p61 @p56) :args ((or @t197 @t105 @t103 @t265 @t263) (@list true 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 true false false false false false false false false false false false false false false false true true false false false false false false false false false false false false false false false false true true true) (@list @t208 @t198 @t271 @t281 @t269 @t175 @t169 @t168 @t157 @t153 @t121 @t150 @t118 @t116 @t148 @t146 @t114 @t201 @t271 @t281 @t269 @t175 @t169 @t168 @t157 @t153 @t121 @t150 @t118 @t116 @t148 @t146 @t114 @t126 @t271 @t269 @t175 @t169 @t168 @t157 @t153 @t121 @t150 @t118 @t116 @t148 @t146 @t114 @t179 @t271 @t281 @t269 @t175 @t169 @t168 @t157 @t153 @t121 @t150 @t118 @t116 @t148 @t146 @t114 @t216 @t140 @t278 @t272 @t271 @t269 @t175 @t169 @t168 @t157 @t153 @t121 @t150 @t118 @t116 @t148 @t146 @t114 @t249 @t266 @t261 @t114 @t146 @t148 @t116 @t118 @t150 @t260 @t121 @t153 @t157 @t168 @t169 @t259 @t175 @t9 @t245 @t110 @t106))) % 15.85/16.03 (step @p1415 :rule eq-symm :args (@t52 tptp.sk_c9)) % 15.85/16.03 (step @p1416 :rule nary_cong :premises (@p1415 @p118) :args (@t54)) % 15.85/16.03 (step @p1417 :rule eq_resolve :premises (@p35 @p1416)) % 15.85/16.03 (step @p1418 :rule reordering :premises (@p1417) :args ((or @t130 @t264))) % 15.85/16.03 (step @p1419 :rule nary_cong :premises (@p1415 @p123) :args (@t55)) % 15.85/16.03 (step @p1420 :rule eq_resolve :premises (@p36 @p1419)) % 15.85/16.03 (step @p1421 :rule reordering :premises (@p1420) :args ((or @t131 @t264))) % 15.85/16.03 (step @p1422 :rule nary_cong :premises (@p1415 @p127) :args (@t56)) % 15.85/16.03 (step @p1423 :rule eq_resolve :premises (@p37 @p1422)) % 15.85/16.03 (step @p1424 :rule reordering :premises (@p1423) :args ((or @t132 @t264))) % 15.85/16.03 (step @p1425 :rule chain_m_resolution :premises (@p622 @p535 @p712 @p530 @p701 @p137 @p289 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p73 @p140 @p72 @p71 @p139 @p138 @p67 @p389 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p73 @p140 @p72 @p71 @p139 @p138 @p67 @p528 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p73 @p140 @p72 @p71 @p139 @p138 @p67 @p699 @p145 @p144 @p143 @p141 @p73 @p140 @p72 @p71 @p138 @p67 @p132 @p1424 @p1421 @p1418 @p1414 @p713 @p117 @p63 @p61 @p56) :args ((or @t197 @t105 @t103) (@list true true true true true 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 false true false false true true true) (@list @t216 @t249 @t208 @t256 @t140 @t179 @t175 @t172 @t169 @t168 @t164 @t162 @t161 @t157 @t153 @t121 @t150 @t118 @t116 @t148 @t146 @t114 @t198 @t175 @t172 @t169 @t168 @t164 @t162 @t161 @t157 @t153 @t121 @t150 @t118 @t116 @t148 @t146 @t114 @t201 @t175 @t172 @t169 @t168 @t164 @t162 @t161 @t157 @t153 @t121 @t150 @t118 @t116 @t148 @t146 @t114 @t253 @t164 @t162 @t161 @t153 @t121 @t150 @t118 @t116 @t146 @t114 @t135 @t132 @t131 @t130 @t264 @t129 @t126 @t245 @t110 @t106))) % 15.85/16.03 (step @p1426 :rule nary_cong :premises (@p613 @p123) :args (@t47)) % 15.85/16.03 (step @p1427 :rule eq_resolve :premises (@p26 @p1426)) % 15.85/16.03 (step @p1428 :rule reordering :premises (@p1427) :args ((or @t131 @t144))) % 15.85/16.03 (step @p1429 :rule nary_cong :premises (@p613 @p127) :args (@t48)) % 15.85/16.03 (step @p1430 :rule eq_resolve :premises (@p27 @p1429)) % 15.85/16.03 (step @p1431 :rule reordering :premises (@p1430) :args ((or @t132 @t144))) % 15.85/16.03 (step @p1432 :rule eq-symm :args (@t24 tptp.sk_c11)) % 15.85/16.03 (step @p1433 :rule nary_cong :premises (@p613 @p1432) :args (@t49)) % 15.85/16.03 (step @p1434 :rule eq_resolve :premises (@p28 @p1433)) % 15.85/16.03 (step @p1435 :rule reordering :premises (@p1434) :args ((or @t284 @t144))) % 15.85/16.03 (step @p1436 :rule eq-symm :args (@t27 tptp.sk_c8)) % 15.85/16.03 (step @p1437 :rule nary_cong :premises (@p613 @p1436) :args (@t50)) % 15.85/16.03 (step @p1438 :rule eq_resolve :premises (@p29 @p1437)) % 15.85/16.03 (step @p1439 :rule reordering :premises (@p1438) :args ((or @t285 @t144))) % 15.85/16.03 (step @p1440 :rule eq-symm :args (@t30 tptp.sk_c11)) % 15.85/16.03 (step @p1441 :rule nary_cong :premises (@p613 @p1440) :args (@t51)) % 15.85/16.03 (step @p1442 :rule eq_resolve :premises (@p30 @p1441)) % 15.85/16.03 (step @p1443 :rule reordering :premises (@p1442) :args ((or @t286 @t144))) % 15.85/16.03 (step @p1444 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.identity tptp.sk_c5))) % 15.85/16.03 (step @p1445 :rule instantiate :premises (@p66) :args (@t287)) % 15.85/16.03 (step @p1446 :rule instantiate :premises (@p70) :args (@t287)) % 15.85/16.03 (step @p1447 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 tptp.sk_c10 tptp.sk_c5))) % 15.85/16.03 (step @p1448 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c1 tptp.sk_c11 tptp.sk_c5))) % 15.85/16.03 (step @p1449 :rule refl :args (@t292)) % 15.85/16.03 (step @p1450 :rule refl :args (@t297)) % 15.85/16.03 (step @p1451 :rule refl :args (@t300)) % 15.85/16.03 (step @p1452 :rule refl :args (@t303)) % 15.85/16.03 (step @p1453 :rule refl :args (@t307)) % 15.85/16.03 (step @p1454 :rule refl :args (@t185)) % 15.85/16.03 (step @p1455 :rule refl :args (@t186)) % 15.85/16.03 (step @p1456 :rule refl :args (@t187)) % 15.85/16.03 (step @p1457 :rule refl :args (@t188)) % 15.85/16.03 (step @p1458 :rule refl :args (@t189)) % 15.85/16.03 (step @p1459 :rule refl :args (@t190)) % 15.85/16.03 (step @p1460 :rule refl :args (@t191)) % 15.85/16.03 (step @p1461 :rule refl :args (@t192)) % 15.85/16.03 (step @p1462 :rule refl :args (@t193)) % 15.85/16.03 (step @p1463 :rule refl :args (@t194)) % 15.85/16.03 (step @p1464 :rule refl :args (@t195)) % 15.85/16.03 (step @p1465 :rule refl :args (@t196)) % 15.85/16.03 (step @p1466 :rule bool-double-not-elim :args (@t144)) % 15.85/16.03 (step @p1467 :rule refl :args (@t308)) % 15.85/16.03 (step @p1468 :rule refl :args (@t309)) % 15.85/16.03 (step @p1469 :rule refl :args (@t310)) % 15.85/16.03 (step @p1470 :rule refl :args (@t133)) % 15.85/16.03 (step @p1471 :rule refl :args (@t134)) % 15.85/16.03 (step @p1472 :rule refl :args (@t105)) % 15.85/16.03 (step @p1473 :rule nary_cong :premises (@p1472 @p1471 @p1470 @p1469 @p1468 @p1467 @p702 @p1466 @p1465 @p1464 @p1463 @p1462 @p1461 @p1460 @p1459 @p1458 @p1457 @p1456 @p1455 @p1454 @p1453 @p1452 @p1451 @p1450 @p1449) :args ((or @t105 @t134 @t133 @t310 @t309 @t308 @t103 (not @t197) @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185 @t307 @t303 @t300 @t297 @t292))) % 15.85/16.03 (assume-push @p3971 @t312) % 15.85/16.03 (assume-push @p3972 @t311) % 15.85/16.03 (step @p1476 :rule evaluate :args ((= false true))) % 15.85/16.03 (step @p1477 :rule true_intro :premises (@p3972)) % 15.85/16.03 (step @p1478 :rule false_intro :premises (@p3971)) % 15.85/16.03 (step @p1479 :rule symm :premises (@p1478)) % 15.85/16.03 (step @p1480 :rule trans :premises (@p1479 @p1477)) % 15.85/16.03 (step @p1481 false :rule eq_resolve :premises (@p1480 @p1476)) % 15.85/16.03 (step-pop @p3973 :rule scope :premises (@p1481)) % 15.85/16.03 (step-pop @p3974 :rule scope :premises (@p3973)) % 15.85/16.03 (step @p1482 :rule process_scope :premises (@p3974) :args (false)) % 15.85/16.03 (assume-push @p3975 @t104) % 15.85/16.03 (assume-push @p3976 @t131) % 15.85/16.03 (assume-push @p3977 @t132) % 15.85/16.03 (assume-push @p3978 @t284) % 15.85/16.03 (assume-push @p3979 @t285) % 15.85/16.03 (assume-push @p3980 @t286) % 15.85/16.03 (assume-push @p3981 @t102) % 15.85/16.03 (assume-push @p3982 @t197) % 15.85/16.03 (assume-push @p3983 @t114) % 15.85/16.03 (assume-push @p3984 @t146) % 15.85/16.03 (assume-push @p3985 @t148) % 15.85/16.03 (assume-push @p3986 @t116) % 15.85/16.03 (assume-push @p3987 @t118) % 15.85/16.03 (assume-push @p3988 @t150) % 15.85/16.03 (assume-push @p3989 @t121) % 15.85/16.03 (assume-push @p3990 @t153) % 15.85/16.03 (assume-push @p3991 @t157) % 15.85/16.03 (assume-push @p3992 @t161) % 15.85/16.03 (assume-push @p3993 @t162) % 15.85/16.03 (assume-push @p3994 @t164) % 15.85/16.03 (assume-push @p3995 @t306) % 15.85/16.03 (assume-push @p3996 @t302) % 15.85/16.03 (assume-push @p3997 @t299) % 15.85/16.03 (assume-push @p3998 @t296) % 15.85/16.03 (assume-push @p3999 @t291) % 15.85/16.03 (assume-push @p4000 @t302) % 15.85/16.03 (assume-push @p4001 @t114) % 15.85/16.03 (assume-push @p4002 @t306) % 15.85/16.03 (assume-push @p4003 @t150) % 15.85/16.03 (assume-push @p4004 @t118) % 15.85/16.03 (assume-push @p4005 @t116) % 15.85/16.03 (assume-push @p4006 @t121) % 15.85/16.03 (assume-push @p4007 @t102) % 15.85/16.03 (assume-push @p4008 @t104) % 15.85/16.03 (assume-push @p4009 @t153) % 15.85/16.03 (assume-push 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(@p4178)) % 15.85/16.03 (step-pop @p4180 :rule scope :premises (@p4179)) % 15.85/16.03 (step-pop @p4181 :rule scope :premises (@p4180)) % 15.85/16.03 (step-pop @p4182 :rule scope :premises (@p4181)) % 15.85/16.03 (step-pop @p4183 :rule scope :premises (@p4182)) % 15.85/16.03 (step-pop @p4184 :rule scope :premises (@p4183)) % 15.85/16.03 (step-pop @p4185 :rule scope :premises (@p4184)) % 15.85/16.03 (step-pop @p4186 :rule scope :premises (@p4185)) % 15.85/16.03 (step-pop @p4187 :rule scope :premises (@p4186)) % 15.85/16.03 (step-pop @p4188 :rule scope :premises (@p4187)) % 15.85/16.03 (step-pop @p4189 :rule scope :premises (@p4188)) % 15.85/16.03 (step-pop @p4190 :rule scope :premises (@p4189)) % 15.85/16.03 (step-pop @p4191 :rule scope :premises (@p4190)) % 15.85/16.03 (step-pop @p4192 :rule scope :premises (@p4191)) % 15.85/16.03 (step-pop @p4193 :rule scope :premises (@p4192)) % 15.85/16.03 (step @p1851 :rule process_scope :premises (@p4193) :args (@t144)) % 15.85/16.03 (step @p1879 :rule and_intro :premises (@p4115 @p147 @p67 @p146 @p140 @p72 @p1747 @p1750 @p4114 @p141 @p138 @p4117 @p4116 @p1749 @p145 @p4118 @p1445 @p1444 @p4113 @p1448 @p4120 @p1447 @p4119 @p1446 @p1748 @p1746 @p1745)) % 15.85/16.03 (step @p1880 :rule modus_ponens :premises (@p1879 @p1851)) % 15.85/16.03 (step-pop @p4194 :rule scope :premises (@p1880)) % 15.85/16.03 (step-pop @p4195 :rule scope :premises (@p4194)) % 15.85/16.03 (step-pop @p4196 :rule scope :premises (@p4195)) % 15.85/16.03 (step-pop @p4197 :rule scope :premises (@p4196)) % 15.85/16.03 (step-pop @p4198 :rule scope :premises (@p4197)) % 15.85/16.03 (step-pop @p4199 :rule scope :premises (@p4198)) % 15.85/16.03 (step-pop @p4200 :rule scope :premises (@p4199)) % 15.85/16.03 (step-pop @p4201 :rule scope :premises (@p4200)) % 15.85/16.03 (step-pop @p4202 :rule scope :premises (@p4201)) % 15.85/16.03 (step-pop @p4203 :rule scope :premises (@p4202)) % 15.85/16.03 (step-pop @p4204 :rule scope :premises (@p4203)) % 15.85/16.03 (step-pop @p4205 :rule scope :premises (@p4204)) % 15.85/16.03 (step-pop @p4206 :rule scope :premises (@p4205)) % 15.85/16.03 (step-pop @p4207 :rule scope :premises (@p4206)) % 15.85/16.03 (step-pop @p4208 :rule scope :premises (@p4207)) % 15.85/16.03 (step-pop @p4209 :rule scope :premises (@p4208)) % 15.85/16.03 (step-pop @p4210 :rule scope :premises (@p4209)) % 15.85/16.03 (step-pop @p4211 :rule scope :premises (@p4210)) % 15.85/16.03 (step-pop @p4212 :rule scope :premises (@p4211)) % 15.85/16.03 (step-pop @p4213 :rule scope :premises (@p4212)) % 15.85/16.03 (step-pop @p4214 :rule scope :premises (@p4213)) % 15.85/16.03 (step-pop @p4215 :rule scope :premises (@p4214)) % 15.85/16.03 (step-pop @p4216 :rule scope :premises (@p4215)) % 15.85/16.03 (step-pop @p4217 :rule scope :premises (@p4216)) % 15.85/16.03 (step-pop @p4218 :rule scope :premises (@p4217)) % 15.85/16.03 (step-pop @p4219 :rule scope :premises (@p4218)) % 15.85/16.03 (step-pop @p4220 :rule scope :premises (@p4219)) % 15.85/16.03 (step @p1881 :rule process_scope :premises (@p4220) :args (@t144)) % 15.85/16.03 (step @p1909 :rule implies_elim :premises (@p1881)) % 15.85/16.03 (step @p1910 :rule cnf_and_neg :args (@t336)) % 15.85/16.03 (step @p1911 :rule resolution :premises (@p1910 @p1909) :args (true @t336)) % 15.85/16.03 (step @p1912 :rule reordering :premises (@p1911) :args ((or @t144 @t105 @t316 @t203 @t134 @t133 @t310 @t309 @t308 @t196 @t195 @t192 @t191 @t189 @t341 @t340 @t339 @t185 @t184 @t183 @t307 @t303 @t300 (not @t329) @t297 @t292 @t338 @t337))) % 15.85/16.03 (step @p1913 :rule bool-double-not-elim :args (@t342)) % 15.85/16.03 (step @p1914 :rule refl :args (@t337)) % 15.85/16.03 (step @p1915 :rule refl :args (@t338)) % 15.85/16.03 (step @p1916 :rule refl :args (@t183)) % 15.85/16.03 (step @p1917 :rule refl :args (@t184)) % 15.85/16.03 (step @p1918 :rule refl :args (@t339)) % 15.85/16.03 (step @p1919 :rule refl :args (@t203)) % 15.85/16.03 (step @p1920 :rule refl :args (@t316)) % 15.85/16.03 (step @p1921 :rule nary_cong :premises (@p1472 @p1920 @p1919 @p1471 @p1470 @p1465 @p1464 @p1461 @p1460 @p1458 @p1918 @p1454 @p1917 @p1916 @p1915 @p1914 @p1913) :args ((or @t105 @t316 @t203 @t134 @t133 @t196 @t195 @t192 @t191 @t189 @t339 @t185 @t184 @t183 @t338 @t337 (not @t343)))) % 15.85/16.03 (assume-push @p4221 @t343) % 15.85/16.03 (assume-push @p4222 @t315) % 15.85/16.03 (assume-push @p4223 @t253) % 15.85/16.03 (assume-push @p4224 @t104) % 15.85/16.03 (assume-push @p4225 @t146) % 15.85/16.03 (step @p1927 :rule evaluate :args ((= true false))) % 15.85/16.03 (step @p1928 :rule false_intro :premises (@p4221)) % 15.85/16.03 (step @p194 :rule symm :premises (@p138)) % 15.85/16.03 (step @p1929 :rule trans :premises (@p194 @p4224 @p4223)) % 15.85/16.03 (step @p1930 :rule symm :premises (@p4222)) % 15.85/16.03 (step @p1931 :rule trans :premises (@p1930 @p138 @p1929)) % 15.85/16.03 (step @p1932 :rule true_intro :premises (@p1931)) % 15.85/16.03 (step @p1933 :rule symm :premises (@p1932)) % 15.85/16.03 (step @p1934 :rule trans :premises (@p1933 @p1928)) % 15.85/16.03 (step @p1935 false :rule eq_resolve :premises (@p1934 @p1927)) % 15.85/16.03 (step-pop @p4226 :rule scope :premises (@p1935)) % 15.85/16.03 (step-pop @p4227 :rule scope :premises (@p4226)) % 15.85/16.03 (step-pop @p4228 :rule scope :premises (@p4227)) % 15.85/16.03 (step-pop @p4229 :rule scope :premises (@p4228)) % 15.85/16.03 (step-pop @p4230 :rule scope :premises (@p4229)) % 15.85/16.03 (step @p1936 :rule process_scope :premises (@p4230) :args (false)) % 15.85/16.03 (assume-push @p4231 @t104) % 15.85/16.03 (assume-push @p4232 @t315) % 15.85/16.03 (assume-push @p4233 @t130) % 15.85/16.03 (assume-push @p4234 @t131) % 15.85/16.03 (assume-push @p4235 @t132) % 15.85/16.03 (assume-push @p4236 @t114) % 15.85/16.03 (assume-push @p4237 @t146) % 15.85/16.03 (assume-push @p4238 @t118) % 15.85/16.03 (assume-push @p4239 @t150) % 15.85/16.03 (assume-push @p4240 @t153) % 15.85/16.03 (assume-push @p4241 @t325) % 15.85/16.03 (assume-push @p4242 @t164) % 15.85/16.03 (assume-push @p4243 @t168) % 15.85/16.03 (assume-push @p4244 @t169) % 15.85/16.03 (assume-push @p4245 @t331) % 15.85/16.03 (assume-push @p4246 @t334) % 15.85/16.03 (assume-push @p4247 @t343) % 15.85/16.03 (assume-push @p4248 @t169) % 15.85/16.03 (assume-push @p4249 @t114) % 15.85/16.03 (assume-push @p4250 @t168) % 15.85/16.03 (assume-push @p4251 @t150) % 15.85/16.03 (assume-push @p4252 @t118) % 15.85/16.03 (assume-push @p4253 @t325) % 15.85/16.03 (assume-push @p4254 @t334) % 15.85/16.03 (assume-push @p4255 @t315) % 15.85/16.03 (assume-push @p4256 @t130) % 15.85/16.03 (assume-push @p4257 @t153) % 15.85/16.03 (assume-push @p4258 @t146) % 15.85/16.03 (assume-push @p4259 @t132) % 15.85/16.03 (assume-push @p4260 @t131) % 15.85/16.03 (assume-push @p4261 @t331) % 15.85/16.03 (assume-push @p4262 @t164) % 15.85/16.03 (assume-push @p4263 @t104) % 15.85/16.03 (step @p219 :rule symm :premises (@p147)) % 15.85/16.03 (step @p220 :rule refl :args (tptp.sk_c9)) % 15.85/16.03 (step @p93 :rule symm :premises (@p67)) % 15.85/16.03 (step @p221 :rule cong :premises (@p93 @p220) :args (@t167)) % 15.85/16.03 (step @p222 :rule symm :premises (@p146)) % 15.85/16.03 (step @p1975 :rule symm :premises (@p4234)) % 15.85/16.03 (step @p1976 :rule trans :premises (@p1975 @p147)) % 15.85/16.03 (step @p195 :rule symm :premises (@p140)) % 15.85/16.03 (step @p91 :rule symm :premises (@p72)) % 15.85/16.03 (step @p95 :rule refl :args (tptp.sk_c11)) % 15.85/16.03 (step @p437 :rule cong :premises (@p93 @p95) :args (@t124)) % 15.85/16.03 (step @p438 :rule cong :premises (@p67 @p91) :args (@t123)) % 15.85/16.03 (step @p1807 :rule symm :premises (@p1747)) % 15.85/16.03 (step @p1808 :rule cong :premises (@p1807 @p72) :args (@t333)) % 15.85/16.03 (step @p1809 :rule symm :premises (@p1750)) % 15.85/16.03 (step @p1810 :rule refl :args (@t15)) % 15.85/16.03 (step @p1977 :rule cong :premises (@p1810 @p4232) :args (@t335)) % 15.85/16.03 (step @p86 :rule refl :args (tptp.sk_c10)) % 15.85/16.03 (step @p1978 :rule cong :premises (@p4233 @p86) :args (@t122)) % 15.85/16.03 (step @p1979 :rule trans :premises (@p1978 @p1977 @p1809 @p1808 @p438 @p437 @p91)) % 15.85/16.03 (step @p202 :rule refl :args (@t142)) % 15.85/16.03 (step @p1980 :rule cong :premises (@p202 @p1979) :args (@t151)) % 15.85/16.03 (step @p196 :rule cong :premises (@p195 @p86) :args (@t152)) % 15.85/16.03 (step @p212 :rule symm :premises (@p196)) % 15.85/16.03 (step @p1981 :rule symm :premises (@p4235)) % 15.85/16.03 (step @p1982 :rule trans :premises (@p1981 @p138 @p212 @p141 @p1980 @p195)) % 15.85/16.03 (step @p1983 :rule cong :premises (@p1982 @p1976) :args (@t330)) % 15.85/16.03 (step @p1818 :rule cong :premises (@p145 @p86) :args (@t145)) % 15.85/16.03 (step @p1984 :rule symm :premises (@p4231)) % 15.85/16.03 (step @p1985 :rule trans :premises (@p1984 @p138 @p1818 @p1749 @p1983 @p222 @p221 @p219)) % 15.85/16.03 (step-pop @p4264 :rule scope :premises (@p1985)) % 15.85/16.03 (step-pop @p4265 :rule scope :premises (@p4264)) % 15.85/16.03 (step-pop @p4266 :rule scope :premises (@p4265)) % 15.85/16.03 (step-pop @p4267 :rule scope :premises (@p4266)) % 15.85/16.03 (step-pop @p4268 :rule scope :premises (@p4267)) % 15.85/16.03 (step-pop @p4269 :rule scope :premises (@p4268)) % 15.85/16.03 (step-pop @p4270 :rule scope :premises (@p4269)) % 15.85/16.03 (step-pop @p4271 :rule scope :premises (@p4270)) % 15.85/16.03 (step-pop @p4272 :rule scope :premises (@p4271)) % 15.85/16.03 (step-pop @p4273 :rule scope :premises (@p4272)) % 15.85/16.03 (step-pop @p4274 :rule scope :premises (@p4273)) % 15.85/16.03 (step-pop @p4275 :rule scope :premises (@p4274)) % 15.85/16.03 (step-pop @p4276 :rule scope :premises (@p4275)) % 15.85/16.03 (step-pop @p4277 :rule scope :premises (@p4276)) % 15.85/16.03 (step-pop @p4278 :rule scope :premises (@p4277)) % 15.85/16.03 (step-pop @p4279 :rule scope :premises (@p4278)) % 15.85/16.03 (step @p1986 :rule process_scope :premises (@p4279) :args (@t253)) % 15.85/16.03 (step @p2003 :rule and_intro :premises (@p147 @p67 @p146 @p140 @p72 @p1747 @p1750 @p4232 @p4233 @p141 @p138 @p4235 @p4234 @p1749 @p145 @p4231)) % 15.85/16.03 (step @p2004 :rule modus_ponens :premises (@p2003 @p1986)) % 15.85/16.03 (step @p2005 :rule and_intro :premises (@p4247 @p4232 @p2004 @p4231 @p138)) % 15.85/16.03 (step-pop @p4280 :rule scope :premises (@p2005)) % 15.85/16.03 (step-pop @p4281 :rule scope :premises (@p4280)) % 15.85/16.03 (step-pop @p4282 :rule scope :premises (@p4281)) % 15.85/16.03 (step-pop @p4283 :rule scope :premises (@p4282)) % 15.85/16.03 (step-pop @p4284 :rule scope :premises (@p4283)) % 15.85/16.03 (step-pop @p4285 :rule scope :premises (@p4284)) % 15.85/16.03 (step-pop @p4286 :rule scope :premises (@p4285)) % 15.85/16.03 (step-pop @p4287 :rule scope :premises (@p4286)) % 15.85/16.03 (step-pop @p4288 :rule scope :premises (@p4287)) % 15.85/16.03 (step-pop @p4289 :rule scope :premises (@p4288)) % 15.85/16.03 (step-pop @p4290 :rule scope :premises (@p4289)) % 15.85/16.03 (step-pop @p4291 :rule scope :premises (@p4290)) % 15.85/16.03 (step-pop @p4292 :rule scope :premises (@p4291)) % 15.85/16.03 (step-pop @p4293 :rule scope :premises (@p4292)) % 15.85/16.03 (step-pop @p4294 :rule scope :premises (@p4293)) % 15.85/16.03 (step-pop @p4295 :rule scope :premises (@p4294)) % 15.85/16.03 (step-pop @p4296 :rule scope :premises (@p4295)) % 15.85/16.03 (step @p2006 :rule process_scope :premises (@p4296) :args (@t344)) % 15.85/16.03 (step @p2024 :rule implies_elim :premises (@p2006)) % 15.85/16.03 (step @p2025 :rule resolution :premises (@p2024 @p1936) :args (true @t344)) % 15.85/16.03 (step @p2026 :rule not_and :premises (@p2025)) % 15.85/16.03 (step @p2027 :rule eq_resolve :premises (@p2026 @p1921)) % 15.85/16.03 (step @p2028 :rule cnf_or_pos :args (@t345)) % 15.85/16.03 (step @p2029 :rule reordering :premises (@p2028) :args ((or @t203 @t343 @t346))) % 15.85/16.03 (step @p2030 :rule eq-symm :args (tptp.sk_c9 @t10)) % 15.85/16.03 (step @p2031 :rule cong :premises (@p2030) :args (@t347)) % 15.85/16.03 (step @p2032 :rule nary_cong :premises (@p2031 @p1919) :args (@t348)) % 15.85/16.03 (step @p2033 :rule cong :premises (@p580 @p2032) :args ((=> @t249 @t348))) % 15.85/16.03 (assume-push @p4297 @t249) % 15.85/16.03 (step @p2035 :rule instantiate :premises (@p4297) :args (@t319)) % 15.85/16.03 (step-pop @p4298 :rule scope :premises (@p2035)) % 15.85/16.03 (step @p2036 :rule process_scope :premises (@p4298) :args (@t348)) % 15.85/16.03 (step @p2038 :rule eq_resolve :premises (@p2036 @p2033)) % 15.85/16.03 (step @p2039 :rule implies_elim :premises (@p2038)) % 15.85/16.03 (assume-push @p4299 @t216) % 15.85/16.03 (step @p2041 :rule instantiate :premises (@p4299) :args ((@list tptp.sk_c3 tptp.sk_c3))) % 15.85/16.03 (step-pop @p4300 :rule scope :premises (@p2041)) % 15.85/16.03 (step @p2042 :rule process_scope :premises (@p4300) :args (@t358)) % 15.85/16.03 (step @p2044 :rule implies_elim :premises (@p2042)) % 15.85/16.03 (step @p2045 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.identity tptp.sk_c8))) % 15.85/16.03 (step @p2046 :rule instantiate :premises (@p66) :args ((@list tptp.sk_c8))) % 15.85/16.03 (step @p2047 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c1 tptp.sk_c11 tptp.sk_c11))) % 15.85/16.03 (step @p2048 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c5 tptp.sk_c8))) % 15.85/16.03 (assume-push @p4301 @t104) % 15.85/16.03 (assume-push @p4302 @t315) % 15.85/16.03 (assume-push @p4303 @t130) % 15.85/16.03 (assume-push @p4304 @t284) % 15.85/16.03 (assume-push @p4305 @t285) % 15.85/16.03 (assume-push @p4306 @t286) % 15.85/16.03 (assume-push @p4307 @t114) % 15.85/16.03 (assume-push @p4308 @t146) % 15.85/16.03 (assume-push @p4309 @t118) % 15.85/16.03 (assume-push @p4310 @t150) % 15.85/16.03 (assume-push @p4311 @t153) % 15.85/16.03 (assume-push @p4312 @t322) % 15.85/16.03 (assume-push @p4313 @t323) % 15.85/16.03 (assume-push @p4314 @t325) % 15.85/16.03 (assume-push @p4315 @t306) % 15.85/16.03 (assume-push @p4316 @t302) % 15.85/16.03 (assume-push @p4317 @t299) % 15.85/16.03 (assume-push @p4318 @t361) % 15.85/16.03 (assume-push @p4319 @t362) % 15.85/16.03 (assume-push @p4320 @t329) % 15.85/16.03 (assume-push @p4321 @t365) % 15.85/16.03 (assume-push @p4322 @t296) % 15.85/16.03 (assume-push @p4323 @t291) % 15.85/16.03 (assume-push @p4324 @t367) % 15.85/16.03 (assume-push @p4325 @t334) % 15.85/16.03 (assume-push @p4326 @t323) % 15.85/16.03 (assume-push @p4327 @t114) % 15.85/16.03 (assume-push @p4328 @t322) % 15.85/16.03 (assume-push @p4329 @t150) % 15.85/16.03 (assume-push @p4330 @t118) % 15.85/16.03 (assume-push @p4331 @t325) % 15.85/16.03 (assume-push @p4332 @t334) % 15.85/16.03 (assume-push @p4333 @t315) % 15.85/16.03 (assume-push @p4334 @t130) % 15.85/16.03 (assume-push @p4335 @t153) % 15.85/16.03 (assume-push @p4336 @t146) % 15.85/16.03 (assume-push @p4337 @t104) % 15.85/16.03 (assume-push @p4338 @t329) % 15.85/16.03 (assume-push @p4339 @t299) % 15.85/16.03 (assume-push @p4340 @t285) % 15.85/16.03 (assume-push @p4341 @t302) % 15.85/16.03 (assume-push @p4342 @t306) % 15.85/16.03 (assume-push @p4343 @t296) % 15.85/16.03 (assume-push @p4344 @t286) % 15.85/16.03 (assume-push @p4345 @t291) % 15.85/16.03 (assume-push @p4346 @t284) % 15.85/16.03 (assume-push @p4347 @t362) % 15.85/16.03 (assume-push @p4348 @t361) % 15.85/16.03 (assume-push @p4349 @t367) % 15.85/16.03 (assume-push @p4350 @t365) % 15.85/16.03 (step @p2099 :rule symm :premises (@p4304)) % 15.85/16.03 (step @p2100 :rule symm :premises (@p4305)) % 15.85/16.03 (step @p1529 :rule symm :premises (@p1445)) % 15.85/16.03 (step @p1530 :rule refl :args (tptp.sk_c5)) % 15.85/16.03 (step @p93 :rule symm :premises (@p67)) % 15.85/16.03 (step @p1531 :rule cong :premises (@p93 @p1530) :args (@t305)) % 15.85/16.03 (step @p1532 :rule symm :premises (@p1444)) % 15.85/16.03 (step @p195 :rule symm :premises (@p140)) % 15.85/16.03 (step @p91 :rule symm :premises (@p72)) % 15.85/16.03 (step @p95 :rule refl :args (tptp.sk_c11)) % 15.85/16.03 (step @p437 :rule cong :premises (@p93 @p95) :args (@t124)) % 15.85/16.03 (step @p438 :rule cong :premises (@p67 @p91) :args (@t123)) % 15.85/16.03 (step @p1807 :rule symm :premises (@p1747)) % 15.85/16.03 (step @p1808 :rule cong :premises (@p1807 @p72) :args (@t333)) % 15.85/16.03 (step @p1809 :rule symm :premises (@p1750)) % 15.85/16.03 (step @p1810 :rule refl :args (@t15)) % 15.85/16.03 (step @p2101 :rule cong :premises (@p1810 @p4302) :args (@t335)) % 15.85/16.03 (step @p86 :rule refl :args (tptp.sk_c10)) % 15.85/16.03 (step @p2102 :rule cong :premises (@p4303 @p86) :args (@t122)) % 15.85/16.03 (step @p2103 :rule trans :premises (@p2102 @p2101 @p1809 @p1808 @p438 @p437 @p91)) % 15.85/16.03 (step @p202 :rule refl :args (@t142)) % 15.85/16.03 (step @p2104 :rule cong :premises (@p202 @p2103) :args (@t151)) % 15.85/16.03 (step @p196 :rule cong :premises (@p195 @p86) :args (@t152)) % 15.85/16.03 (step @p212 :rule symm :premises (@p196)) % 15.85/16.03 (step @p2105 :rule trans :premises (@p138 @p212 @p141 @p2104 @p195)) % 15.85/16.03 (step @p2106 :rule cong :premises (@p2105 @p1445) :args (@t293)) % 15.85/16.03 (step @p2107 :rule symm :premises (@p4301)) % 15.85/16.03 (step @p2108 :rule cong :premises (@p2107 @p1530) :args (@t290)) % 15.85/16.03 (step @p1540 :rule symm :premises (@p1448)) % 15.85/16.03 (step @p2109 :rule symm :premises (@p4306)) % 15.85/16.03 (step @p2110 :rule cong :premises (@p2109 @p1530) :args (@t295)) % 15.85/16.03 (step @p1543 :rule symm :premises (@p1447)) % 15.85/16.03 (step @p2111 :rule symm :premises (@p2106)) % 15.85/16.03 (step @p1545 :rule symm :premises (@p1531)) % 15.85/16.03 (step @p2112 :rule trans :premises (@p1445 @p1545 @p1444 @p2111)) % 15.85/16.03 (step @p2113 :rule cong :premises (@p2100 @p2112) :args (@t298)) % 15.85/16.03 (step @p2114 :rule trans :premises (@p1446 @p2113 @p1543 @p2110)) % 15.85/16.03 (step @p192 :rule refl :args (tptp.sk_c1)) % 15.85/16.03 (step @p2115 :rule cong :premises (@p192 @p2114) :args (@t313)) % 15.85/16.03 (step @p1837 :rule refl :args (tptp.sk_c3)) % 15.85/16.03 (step @p2116 :rule cong :premises (@p4303 @p1837) :args (@t326)) % 15.85/16.03 (step @p2117 :rule trans :premises (@p2116 @p1807)) % 15.85/16.03 (step @p2118 :rule cong :premises (@p192 @p2117) :args (@t327)) % 15.85/16.03 (step @p1841 :rule symm :premises (@p1746)) % 15.85/16.03 (step @p2119 :rule symm :premises (@p2105)) % 15.85/16.03 (step @p2120 :rule trans :premises (@p2119 @p4301)) % 15.85/16.03 (step @p2121 :rule cong :premises (@p2120 @p1841) :args (@t321)) % 15.85/16.03 (step @p1845 :rule cong :premises (@p67 @p1837) :args (@t320)) % 15.85/16.03 (step @p2122 :rule trans :premises (@p1746 @p1845 @p1745 @p2121 @p1748 @p2118 @p2115 @p1540 @p2108 @p2106 @p1532 @p1531 @p1529)) % 15.85/16.03 (step @p2123 :rule cong :premises (@p2122) :args (@t15)) % 15.85/16.03 (step @p2124 :rule trans :premises (@p4303 @p2123 @p2100)) % 15.85/16.03 (step @p2125 :rule cong :premises (@p2122 @p2124) :args (@t10)) % 15.85/16.03 (step @p194 :rule symm :premises (@p138)) % 15.85/16.03 (step @p197 :rule symm :premises (@p141)) % 15.85/16.03 (step @p2126 :rule symm :premises (@p2104)) % 15.85/16.03 (step @p2127 :rule trans :premises (@p140 @p2126 @p197 @p196 @p194 @p4302 @p2125 @p2099 @p4303)) % 15.85/16.03 (step @p2128 :rule symm :premises (@p1845)) % 15.85/16.03 (step @p2129 :rule symm :premises (@p1745)) % 15.85/16.03 (step @p2130 :rule symm :premises (@p2121)) % 15.85/16.03 (step @p2131 :rule symm :premises (@p1748)) % 15.85/16.03 (step @p2132 :rule symm :premises (@p2118)) % 15.85/16.03 (step @p2133 :rule symm :premises (@p4302)) % 15.85/16.03 (step @p2134 :rule symm :premises (@p2125)) % 15.85/16.03 (step @p2135 :rule symm :premises (@p4303)) % 15.85/16.03 (step @p2136 :rule symm :premises (@p2123)) % 15.85/16.03 (step @p2137 :rule symm :premises (@p2046)) % 15.85/16.03 (step @p2138 :rule refl :args (tptp.sk_c8)) % 15.85/16.03 (step @p2139 :rule cong :premises (@p93 @p2138) :args (@t360)) % 15.85/16.03 (step @p2140 :rule symm :premises (@p2045)) % 15.85/16.03 (step @p2141 :rule symm :premises (@p2114)) % 15.85/16.03 (step @p2142 :rule cong :premises (@p2141 @p2046) :args (@t366)) % 15.85/16.03 (step @p2143 :rule symm :premises (@p2048)) % 15.85/16.03 (step @p2144 :rule cong :premises (@p95 @p4304) :args (@t363)) % 15.85/16.03 (step @p2145 :rule trans :premises (@p2144 @p2143 @p2142 @p2140 @p2139 @p2137 @p4305 @p2136 @p2135 @p4304 @p2134 @p2133 @p138 @p212 @p141 @p2104 @p195)) % 15.85/16.03 (step @p2146 :rule cong :premises (@p192 @p2145) :args (@t364)) % 15.85/16.03 (step @p2147 :rule cong :premises (@p2120 @p91) :args (@t123)) % 15.85/16.03 (step @p94 :rule cong :premises (@p93 @p72) :args (@t124)) % 15.85/16.03 (step @p96 :rule cong :premises (@p67 @p95) :args (@t117)) % 15.85/16.03 (step @p2148 :rule trans :premises (@p140 @p2126 @p197 @p196 @p194 @p4302 @p2125 @p2099 @p72 @p96 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(@p195 @p86) :args (@t152)) % 15.85/16.03 (step @p212 :rule symm :premises (@p196)) % 15.85/16.03 (step @p2852 :rule trans :premises (@p138 @p212 @p141 @p2851 @p195)) % 15.85/16.03 (step @p2853 :rule cong :premises (@p2852 @p1445) :args (@t293)) % 15.85/16.03 (step @p2854 :rule trans :premises (@p2853 @p1532 @p1531 @p1529)) % 15.85/16.03 (step @p2855 :rule cong :premises (@p4968 @p2854) :args (@t294)) % 15.85/16.03 (step @p2856 :rule cong :premises (@p4969 @p1530) :args (@t288)) % 15.85/16.03 (step @p2857 :rule trans :premises (@p2856 @p1447 @p2855 @p1623 @p1747 @p2847)) % 15.85/16.03 (step @p2858 :rule cong :premises (@p202 @p2857) :args (@t380)) % 15.85/16.03 (step @p2859 :rule cong :premises (@p140 @p1529) :args (@t304)) % 15.85/16.03 (step @p1545 :rule symm :premises (@p1531)) % 15.85/16.03 (step @p2860 :rule trans :premises (@p1445 @p1545 @p1444 @p2859 @p2638 @p2858 @p2846 @p2845 @p2129 @p2128 @p1841)) % 15.85/16.03 (step @p2861 :rule cong :premises (@p2860) :args (@t27)) % 15.85/16.03 (step @p2862 :rule trans :premises (@p4968 @p2861 @p2844)) % 15.85/16.03 (step @p2863 :rule cong :premises (@p2860 @p2862) :args (@t24)) % 15.85/16.03 (step @p2864 :rule trans :premises (@p4967 @p2863 @p2843)) % 15.85/16.03 (step-pop @p5005 :rule scope :premises (@p2864)) % 15.85/16.03 (step-pop @p5006 :rule scope :premises (@p5005)) % 15.85/16.03 (step-pop @p5007 :rule scope :premises (@p5006)) % 15.85/16.03 (step-pop @p5008 :rule scope :premises (@p5007)) % 15.85/16.03 (step-pop @p5009 :rule scope :premises (@p5008)) % 15.85/16.03 (step-pop @p5010 :rule scope :premises (@p5009)) % 15.85/16.03 (step-pop @p5011 :rule scope :premises (@p5010)) % 15.85/16.03 (step-pop @p5012 :rule scope :premises (@p5011)) % 15.85/16.03 (step-pop @p5013 :rule scope :premises (@p5012)) % 15.85/16.03 (step-pop @p5014 :rule scope :premises (@p5013)) % 15.85/16.03 (step-pop @p5015 :rule scope :premises (@p5014)) % 15.85/16.03 (step-pop @p5016 :rule scope :premises (@p5015)) % 15.85/16.03 (step-pop @p5017 :rule scope :premises (@p5016)) % 15.85/16.03 (step-pop @p5018 :rule scope :premises (@p5017)) % 15.85/16.03 (step-pop @p5019 :rule scope :premises (@p5018)) % 15.85/16.03 (step-pop @p5020 :rule scope :premises (@p5019)) % 15.85/16.03 (step-pop @p5021 :rule scope :premises (@p5020)) % 15.85/16.03 (step-pop @p5022 :rule scope :premises (@p5021)) % 15.85/16.03 (step-pop @p5023 :rule scope :premises (@p5022)) % 15.85/16.03 (step-pop @p5024 :rule scope :premises (@p5023)) % 15.85/16.03 (step @p3094 :rule process_scope :premises (@p5024) :args (@t356)) % 15.85/16.03 (step @p3115 :rule and_intro :premises (@p4966 @p1746 @p67 @p1745 @p140 @p2639 @p1747 @p1446 @p4968 @p1445 @p1444 @p72 @p1750 @p4965 @p141 @p138 @p1447 @p4969 @p2638 @p4967)) % 15.85/16.03 (step @p3116 :rule modus_ponens :premises (@p3115 @p3094)) % 15.85/16.03 (step-pop @p5025 :rule scope :premises (@p3116)) % 15.85/16.03 (step-pop @p5026 :rule scope :premises (@p5025)) % 15.85/16.03 (step-pop @p5027 :rule scope :premises (@p5026)) % 15.85/16.03 (step-pop @p5028 :rule scope :premises (@p5027)) % 15.85/16.03 (step-pop @p5029 :rule scope :premises (@p5028)) % 15.85/16.03 (step-pop @p5030 :rule scope :premises (@p5029)) % 15.85/16.03 (step-pop @p5031 :rule scope :premises (@p5030)) % 15.85/16.03 (step-pop @p5032 :rule scope :premises (@p5031)) % 15.85/16.03 (step-pop @p5033 :rule scope :premises (@p5032)) % 15.85/16.03 (step-pop @p5034 :rule scope :premises (@p5033)) % 15.85/16.03 (step-pop @p5035 :rule scope :premises (@p5034)) % 15.85/16.03 (step-pop @p5036 :rule scope :premises (@p5035)) % 15.85/16.03 (step-pop @p5037 :rule scope :premises (@p5036)) % 15.85/16.03 (step-pop @p5038 :rule scope :premises (@p5037)) % 15.85/16.03 (step-pop @p5039 :rule scope :premises (@p5038)) % 15.85/16.03 (step-pop @p5040 :rule scope :premises (@p5039)) % 15.85/16.03 (step-pop @p5041 :rule scope :premises (@p5040)) % 15.85/16.03 (step-pop @p5042 :rule scope :premises (@p5041)) % 15.85/16.03 (step-pop @p5043 :rule scope :premises (@p5042)) % 15.85/16.03 (step-pop @p5044 :rule scope :premises (@p5043)) % 15.85/16.03 (step @p3117 :rule process_scope :premises (@p5044) :args (@t356)) % 15.85/16.03 (step @p3138 :rule implies_elim :premises (@p3117)) % 15.85/16.03 (step @p3139 :rule resolution :premises (@p2912 @p3138) :args (true @t384)) % 15.85/16.03 (step @p3140 :rule chain_m_resolution :premises (@p3139 @p2553 @p2550 @p2648 @p2645 @p2642 @p67 @p138 @p72 @p140 @p141 @p1745 @p1746 @p1747 @p1444 @p1445 @p1446 @p2639 @p1447 @p2638 @p1750) :args (@t356 @t385 @t386)) % 15.85/16.03 (step @p3141 :rule chain_m_resolution :premises (@p2537 @p3140 @p3053 @p3052 @p2914) :args (@t372 @t128 (@list @t356 @t354 @t352 @t350))) % 15.85/16.03 (step @p3142 false :rule chain_m_resolution :premises (@p2044 @p3141 @p2795) :args (false (@list true false) (@list @t358 @t216))) % 15.85/16.03 ) % 15.85/16.03 % SZS output end Proof % 15.85/16.03 % cvc5 exiting %------------------------------------------------------------------------------