%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP312-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:20:27 AM UTC 2026 % Result : Unsatisfiable 15.82s 16.08s % Output : Proof 15.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP312-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 20:01:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.70/15.96 --- Run --no-e-matching --full-saturate-quant at 6... % 15.82/16.08 % SZS status Unsatisfiable % 15.82/16.08 % SZS output start Proof % 15.82/16.11 ( % 15.82/16.11 (declare-sort $$unsorted 0) % 15.82/16.11 (declare-const tptp.sk_c3 $$unsorted) % 15.82/16.11 (declare-const tptp.sk_c2 $$unsorted) % 15.82/16.11 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.82/16.11 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.82/16.11 (declare-const tptp.sk_c11 $$unsorted) % 15.82/16.11 (declare-const tptp.sk_c4 $$unsorted) % 15.82/16.11 (declare-const tptp.identity $$unsorted) % 15.82/16.11 (declare-const tptp.sk_c5 $$unsorted) % 15.82/16.11 (declare-const tptp.sk_c1 $$unsorted) % 15.82/16.11 (declare-const tptp.sk_c9 $$unsorted) % 15.82/16.11 (declare-const tptp.sk_c6 $$unsorted) % 15.82/16.11 (declare-const tptp.sk_c10 $$unsorted) % 15.82/16.11 (declare-const tptp.sk_c7 $$unsorted) % 15.82/16.11 (declare-const tptp.sk_c12 $$unsorted) % 15.82/16.11 (declare-const tptp.sk_c8 $$unsorted) % 15.82/16.11 (define @t1 () (@var "X" $$unsorted)) % 15.82/16.11 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.82/16.11 (define @t3 () (@list @t1)) % 15.82/16.11 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.82/16.11 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.82/16.11 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.82/16.11 (define @t7 () (@var "Z" $$unsorted)) % 15.82/16.11 (define @t8 () (@var "Y" $$unsorted)) % 15.82/16.11 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.82/16.11 (define @t10 () (tptp.multiply tptp.sk_c4 tptp.sk_c12)) % 15.82/16.11 (define @t11 () (= @t10 tptp.sk_c11)) % 15.82/16.11 (define @t12 () (tptp.multiply tptp.sk_c11 tptp.sk_c12)) % 15.82/16.11 (define @t13 () (= @t12 tptp.sk_c10)) % 15.82/16.11 (define @t14 () (or @t13 @t11)) % 15.82/16.11 (define @t15 () (tptp.inverse tptp.sk_c4)) % 15.82/16.11 (define @t16 () (= @t15 tptp.sk_c12)) % 15.82/16.11 (define @t17 () (or @t13 @t16)) % 15.82/16.11 (define @t18 () (tptp.multiply tptp.sk_c5 tptp.sk_c11)) % 15.82/16.11 (define @t19 () (= @t18 tptp.sk_c10)) % 15.82/16.11 (define @t20 () (or @t13 @t19)) % 15.82/16.11 (define @t21 () (tptp.inverse tptp.sk_c5)) % 15.82/16.11 (define @t22 () (= @t21 tptp.sk_c11)) % 15.82/16.11 (define @t23 () (or @t13 @t22)) % 15.82/16.11 (define @t24 () (tptp.multiply tptp.sk_c6 tptp.sk_c9)) % 15.82/16.11 (define @t25 () (= @t24 tptp.sk_c12)) % 15.82/16.11 (define @t26 () (or @t13 @t25)) % 15.82/16.11 (define @t27 () (tptp.inverse tptp.sk_c6)) % 15.82/16.11 (define @t28 () (= @t27 tptp.sk_c9)) % 15.82/16.11 (define @t29 () (or @t13 @t28)) % 15.82/16.11 (define @t30 () (tptp.multiply tptp.sk_c9 tptp.sk_c11)) % 15.82/16.11 (define @t31 () (= @t30 tptp.sk_c12)) % 15.82/16.11 (define @t32 () (or @t13 @t31)) % 15.82/16.11 (define @t33 () (tptp.inverse tptp.sk_c8)) % 15.82/16.11 (define @t34 () (= @t33 tptp.sk_c7)) % 15.82/16.11 (define @t35 () (or @t13 @t34)) % 15.82/16.11 (define @t36 () (tptp.inverse tptp.sk_c7)) % 15.82/16.11 (define @t37 () (= @t36 tptp.sk_c9)) % 15.82/16.11 (define @t38 () (or @t13 @t37)) % 15.82/16.11 (define @t39 () (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) % 15.82/16.11 (define @t40 () (tptp.multiply tptp.sk_c1 tptp.sk_c12)) % 15.82/16.11 (define @t41 () (= @t40 tptp.sk_c11)) % 15.82/16.11 (define @t42 () (or @t41 @t11)) % 15.82/16.11 (define @t43 () (or @t41 @t16)) % 15.82/16.11 (define @t44 () (or @t41 @t19)) % 15.82/16.11 (define @t45 () (or @t41 @t22)) % 15.82/16.11 (define @t46 () (tptp.inverse tptp.sk_c1)) % 15.82/16.11 (define @t47 () (= @t46 tptp.sk_c12)) % 15.82/16.11 (define @t48 () (or @t47 @t11)) % 15.82/16.11 (define @t49 () (or @t47 @t16)) % 15.82/16.11 (define @t50 () (or @t47 @t19)) % 15.82/16.11 (define @t51 () (or @t47 @t22)) % 15.82/16.11 (define @t52 () (tptp.multiply tptp.sk_c2 tptp.sk_c11)) % 15.82/16.11 (define @t53 () (= @t52 tptp.sk_c10)) % 15.82/16.11 (define @t54 () (or @t53 @t11)) % 15.82/16.11 (define @t55 () (or @t53 @t16)) % 15.82/16.11 (define @t56 () (or @t53 @t19)) % 15.82/16.11 (define @t57 () (or @t53 @t22)) % 15.82/16.11 (define @t58 () (tptp.inverse tptp.sk_c2)) % 15.82/16.11 (define @t59 () (= @t58 tptp.sk_c11)) % 15.82/16.11 (define @t60 () (or @t59 @t11)) % 15.82/16.11 (define @t61 () (or @t59 @t16)) % 15.82/16.11 (define @t62 () (or @t59 @t19)) % 15.82/16.11 (define @t63 () (or @t59 @t22)) % 15.82/16.11 (define @t64 () (tptp.multiply tptp.sk_c3 tptp.sk_c11)) % 15.82/16.11 (define @t65 () (= @t64 tptp.sk_c12)) % 15.82/16.11 (define @t66 () (or @t65 @t11)) % 15.82/16.11 (define @t67 () (or @t65 @t16)) % 15.82/16.11 (define @t68 () (tptp.inverse tptp.sk_c3)) % 15.82/16.11 (define @t69 () (= @t68 tptp.sk_c11)) % 15.82/16.11 (define @t70 () (or @t69 @t11)) % 15.82/16.11 (define @t71 () (or @t69 @t16)) % 15.82/16.11 (define @t72 () (@var "X9" $$unsorted)) % 15.82/16.11 (define @t73 () (@var "X3" $$unsorted)) % 15.82/16.11 (define @t74 () (@var "X8" $$unsorted)) % 15.82/16.11 (define @t75 () (tptp.multiply @t74 @t73)) % 15.82/16.11 (define @t76 () (not (= @t75 @t72))) % 15.82/16.11 (define @t77 () (tptp.inverse @t72)) % 15.82/16.11 (define @t78 () (not (= @t77 @t73))) % 15.82/16.11 (define @t79 () (tptp.inverse @t74)) % 15.82/16.11 (define @t80 () (not (= @t79 @t72))) % 15.82/16.11 (define @t81 () (tptp.multiply @t73 tptp.sk_c11)) % 15.82/16.11 (define @t82 () (not (= @t81 tptp.sk_c12))) % 15.82/16.11 (define @t83 () (@var "X7" $$unsorted)) % 15.82/16.11 (define @t84 () (tptp.inverse @t83)) % 15.82/16.11 (define @t85 () (not (= @t84 @t73))) % 15.82/16.11 (define @t86 () (tptp.multiply @t83 @t73)) % 15.82/16.11 (define @t87 () (not (= @t86 tptp.sk_c12))) % 15.82/16.11 (define @t88 () (@var "X2" $$unsorted)) % 15.82/16.11 (define @t89 () (tptp.inverse @t88)) % 15.82/16.11 (define @t90 () (not (= @t89 tptp.sk_c11))) % 15.82/16.11 (define @t91 () (tptp.multiply @t88 tptp.sk_c11)) % 15.82/16.11 (define @t92 () (not (= @t91 tptp.sk_c10))) % 15.82/16.11 (define @t93 () (@var "X1" $$unsorted)) % 15.82/16.11 (define @t94 () (tptp.inverse @t93)) % 15.82/16.11 (define @t95 () (not (= @t94 tptp.sk_c12))) % 15.82/16.11 (define @t96 () (tptp.multiply @t93 tptp.sk_c12)) % 15.82/16.11 (define @t97 () (not (= @t96 tptp.sk_c11))) % 15.82/16.11 (define @t98 () (@var "X6" $$unsorted)) % 15.82/16.11 (define @t99 () (tptp.inverse @t98)) % 15.82/16.11 (define @t100 () (not (= @t99 tptp.sk_c11))) % 15.82/16.11 (define @t101 () (tptp.multiply @t98 tptp.sk_c11)) % 15.82/16.11 (define @t102 () (not (= @t101 tptp.sk_c12))) % 15.82/16.11 (define @t103 () (@var "X5" $$unsorted)) % 15.82/16.11 (define @t104 () (tptp.inverse @t103)) % 15.82/16.11 (define @t105 () (not (= @t104 tptp.sk_c11))) % 15.82/16.11 (define @t106 () (tptp.multiply @t103 tptp.sk_c11)) % 15.82/16.11 (define @t107 () (not (= @t106 tptp.sk_c10))) % 15.82/16.11 (define @t108 () (@var "X4" $$unsorted)) % 15.82/16.11 (define @t109 () (tptp.inverse @t108)) % 15.82/16.11 (define @t110 () (not (= @t109 tptp.sk_c12))) % 15.82/16.11 (define @t111 () (tptp.multiply @t108 tptp.sk_c12)) % 15.82/16.11 (define @t112 () (not (= @t111 tptp.sk_c11))) % 15.82/16.11 (define @t113 () (not @t13)) % 15.82/16.11 (define @t114 () (or @t113 @t112 @t110 @t107 @t105 @t102 @t100 @t97 @t95 @t92 @t90 @t87 @t85 @t82 @t80 @t78 @t76)) % 15.82/16.11 (define @t115 () (@list @t108 @t103 @t98 @t93 @t88 @t83 @t73 @t74 @t72)) % 15.82/16.11 (define @t116 () (forall @t115 @t114)) % 15.82/16.11 (define @t117 () (@list tptp.sk_c11)) % 15.82/16.11 (define @t118 () (@list tptp.sk_c12)) % 15.82/16.11 (define @t119 () (@list tptp.sk_c5)) % 15.82/16.11 (define @t120 () (@list tptp.sk_c6)) % 15.82/16.11 (define @t121 () (@list tptp.sk_c8)) % 15.82/16.11 (define @t122 () (@list tptp.sk_c7)) % 15.82/16.11 (define @t123 () (tptp.inverse tptp.sk_c12)) % 15.82/16.11 (define @t124 () (= tptp.sk_c12 @t46)) % 15.82/16.11 (define @t125 () (= tptp.sk_c11 @t10)) % 15.82/16.11 (define @t126 () (= tptp.sk_c12 @t15)) % 15.82/16.11 (define @t127 () (= tptp.sk_c10 @t18)) % 15.82/16.11 (define @t128 () (= tptp.sk_c11 @t21)) % 15.82/16.11 (define @t129 () (tptp.multiply tptp.identity tptp.identity)) % 15.82/16.11 (define @t130 () (= tptp.identity @t129)) % 15.82/16.11 (define @t131 () (tptp.multiply tptp.identity tptp.sk_c12)) % 15.82/16.11 (define @t132 () (= tptp.sk_c12 @t131)) % 15.82/16.11 (define @t133 () (tptp.multiply @t15 tptp.sk_c4)) % 15.82/16.11 (define @t134 () (= tptp.identity @t133)) % 15.82/16.11 (define @t135 () (tptp.multiply @t15 @t10)) % 15.82/16.11 (define @t136 () (tptp.multiply @t133 tptp.sk_c12)) % 15.82/16.11 (define @t137 () (= @t136 @t135)) % 15.82/16.11 (define @t138 () (tptp.multiply tptp.identity @t131)) % 15.82/16.11 (define @t139 () (tptp.multiply @t129 tptp.sk_c12)) % 15.82/16.11 (define @t140 () (tptp.multiply @t15 tptp.sk_c11)) % 15.82/16.11 (define @t141 () (= tptp.sk_c12 @t140)) % 15.82/16.11 (define @t142 () (and @t125 @t130 @t132 @t134 @t137)) % 15.82/16.11 (define @t143 () (not @t137)) % 15.82/16.11 (define @t144 () (not @t134)) % 15.82/16.11 (define @t145 () (not @t132)) % 15.82/16.11 (define @t146 () (not @t130)) % 15.82/16.11 (define @t147 () (not @t125)) % 15.82/16.11 (define @t148 () (tptp.inverse tptp.sk_c11)) % 15.82/16.11 (define @t149 () (tptp.multiply tptp.identity tptp.sk_c11)) % 15.82/16.11 (define @t150 () (= tptp.sk_c11 @t149)) % 15.82/16.11 (define @t151 () (tptp.multiply @t123 tptp.sk_c12)) % 15.82/16.11 (define @t152 () (= tptp.identity @t151)) % 15.82/16.11 (define @t153 () (tptp.multiply tptp.identity @t148)) % 15.82/16.11 (define @t154 () (= @t148 @t153)) % 15.82/16.11 (define @t155 () (tptp.multiply tptp.sk_c12 tptp.sk_c11)) % 15.82/16.11 (define @t156 () (tptp.multiply @t123 @t155)) % 15.82/16.11 (define @t157 () (tptp.multiply @t151 tptp.sk_c11)) % 15.82/16.11 (define @t158 () (= @t157 @t156)) % 15.82/16.11 (define @t159 () (tptp.inverse @t21)) % 15.82/16.11 (define @t160 () (tptp.multiply tptp.identity @t149)) % 15.82/16.11 (define @t161 () (tptp.multiply @t129 tptp.sk_c11)) % 15.82/16.11 (define @t162 () (tptp.multiply @t21 @t159)) % 15.82/16.11 (define @t163 () (tptp.inverse tptp.identity)) % 15.82/16.11 (define @t164 () (= @t163 (tptp.multiply tptp.identity @t159))) % 15.82/16.11 (define @t165 () (and @t125 @t126 @t128 @t130 @t150 @t132 @t152 @t134 @t137 @t154 @t158)) % 15.82/16.11 (define @t166 () (not @t158)) % 15.82/16.11 (define @t167 () (not @t154)) % 15.82/16.11 (define @t168 () (not @t152)) % 15.82/16.11 (define @t169 () (not @t150)) % 15.82/16.11 (define @t170 () (not @t128)) % 15.82/16.11 (define @t171 () (not @t126)) % 15.82/16.11 (define @t172 () (tptp.multiply tptp.identity tptp.sk_c5)) % 15.82/16.11 (define @t173 () (= tptp.sk_c5 @t172)) % 15.82/16.11 (define @t174 () (tptp.multiply @t21 tptp.sk_c5)) % 15.82/16.11 (define @t175 () (= tptp.identity @t174)) % 15.82/16.11 (define @t176 () (tptp.multiply tptp.identity @t172)) % 15.82/16.11 (define @t177 () (tptp.multiply @t129 tptp.sk_c5)) % 15.82/16.11 (define @t178 () (= tptp.sk_c11 @t148)) % 15.82/16.11 (define @t179 () (and @t125 @t126 @t128 @t130 @t150 @t132 @t152 @t134 @t173 @t175 @t137 @t158)) % 15.82/16.11 (define @t180 () (= tptp.sk_c10 @t12)) % 15.82/16.11 (define @t181 () (tptp.multiply tptp.sk_c5 @t21)) % 15.82/16.11 (define @t182 () (= tptp.sk_c12 @t162)) % 15.82/16.11 (define @t183 () (and @t180 @t125 @t126 @t127 @t128 @t130 @t150 @t132 @t152 @t134 @t173 @t175 @t137 @t154 @t158)) % 15.82/16.11 (define @t184 () (not @t175)) % 15.82/16.11 (define @t185 () (not @t173)) % 15.82/16.11 (define @t186 () (not @t127)) % 15.82/16.11 (define @t187 () (not @t180)) % 15.82/16.11 (define @t188 () (tptp.multiply @t159 @t21)) % 15.82/16.11 (define @t189 () (= tptp.identity @t188)) % 15.82/16.11 (define @t190 () (= tptp.sk_c12 (tptp.multiply @t159 tptp.sk_c11))) % 15.82/16.11 (define @t191 () (and @t180 @t125 @t126 @t127 @t128 @t130 @t150 @t132 @t152 @t134 @t173 @t175 @t189 @t137 @t158)) % 15.82/16.11 (define @t192 () (not @t189)) % 15.82/16.11 (define @t193 () (@list tptp.sk_c3)) % 15.82/16.11 (define @t194 () (tptp.multiply @t68 tptp.sk_c3)) % 15.82/16.11 (define @t195 () (= tptp.identity @t194)) % 15.82/16.11 (define @t196 () (tptp.multiply @t68 @t64)) % 15.82/16.11 (define @t197 () (tptp.multiply @t194 tptp.sk_c11)) % 15.82/16.11 (define @t198 () (= @t197 @t196)) % 15.82/16.11 (define @t199 () (tptp.multiply @t10 tptp.sk_c11)) % 15.82/16.11 (define @t200 () (= @t199 (tptp.multiply tptp.sk_c4 @t155))) % 15.82/16.11 (define @t201 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) % 15.82/16.11 (define @t202 () (and @t125 @t126 @t127 @t128 @t130 @t150 @t132 @t152 @t134 @t173 @t175 @t195 @t198 @t137 @t158 @t200)) % 15.82/16.11 (define @t203 () (tptp.inverse @t163)) % 15.82/16.11 (define @t204 () (= @t203 @t159)) % 15.82/16.11 (define @t205 () (= tptp.sk_c11 (tptp.inverse @t15))) % 15.82/16.11 (define @t206 () (and @t180 @t125 @t126 @t127 @t128 @t130 @t150 @t132 @t152 @t134 @t173 @t175 @t137 @t158)) % 15.82/16.11 (define @t207 () (not @t178)) % 15.82/16.11 (define @t208 () (not @t201)) % 15.82/16.11 (define @t209 () (or @t208 @t207)) % 15.82/16.11 (define @t210 () (not @t164)) % 15.82/16.11 (define @t211 () (not @t204)) % 15.82/16.11 (define @t212 () (not @t190)) % 15.82/16.11 (define @t213 () (not @t182)) % 15.82/16.11 (define @t214 () (or @t213 @t212 @t211 @t210)) % 15.82/16.11 (define @t215 () (not @t205)) % 15.82/16.11 (define @t216 () (not @t141)) % 15.82/16.11 (define @t217 () (or @t216 @t215)) % 15.82/16.11 (define @t218 () (not (= tptp.sk_c11 @t104))) % 15.82/16.11 (define @t219 () (not (= tptp.sk_c10 @t106))) % 15.82/16.11 (define @t220 () (or @t219 @t218)) % 15.82/16.11 (define @t221 () (forall (@list @t103) @t220)) % 15.82/16.11 (define @t222 () (not (= @t159 @t203))) % 15.82/16.11 (define @t223 () (or @t213 @t212 @t222 @t210)) % 15.82/16.11 (define @t224 () (tptp.multiply @t74 @t84)) % 15.82/16.11 (define @t225 () (not (= @t79 @t224))) % 15.82/16.11 (define @t226 () (not (= @t84 (tptp.inverse @t79)))) % 15.82/16.11 (define @t227 () (not (= tptp.sk_c12 (tptp.multiply @t84 tptp.sk_c11)))) % 15.82/16.11 (define @t228 () (not (= tptp.sk_c12 (tptp.multiply @t83 @t84)))) % 15.82/16.11 (define @t229 () (or @t228 @t227 @t226 @t225)) % 15.82/16.11 (define @t230 () (@list @t83 @t74)) % 15.82/16.11 (define @t231 () (forall @t230 @t229)) % 15.82/16.11 (define @t232 () (not (= tptp.sk_c11 @t99))) % 15.82/16.11 (define @t233 () (not (= tptp.sk_c12 @t101))) % 15.82/16.11 (define @t234 () (or @t233 @t232)) % 15.82/16.11 (define @t235 () (forall (@list @t98) @t234)) % 15.82/16.11 (define @t236 () (= tptp.sk_c11 @t12)) % 15.82/16.11 (define @t237 () (= tptp.sk_c12 @t148)) % 15.82/16.11 (define @t238 () (not @t237)) % 15.82/16.11 (define @t239 () (not @t236)) % 15.82/16.11 (define @t240 () (or @t239 @t238)) % 15.82/16.11 (define @t241 () (not (= tptp.sk_c12 @t109))) % 15.82/16.11 (define @t242 () (not (= tptp.sk_c11 @t111))) % 15.82/16.11 (define @t243 () (or @t242 @t241)) % 15.82/16.11 (define @t244 () (forall (@list @t108) @t243)) % 15.82/16.11 (define @t245 () (@list true false false false false false false false false false false false false false false false false false false false false)) % 15.82/16.11 (define @t246 () (not (= @t79 @t79))) % 15.82/16.11 (define @t247 () (or @t228 @t227 @t246 @t226 @t225)) % 15.82/16.11 (define @t248 () (not (= @t72 @t224))) % 15.82/16.11 (define @t249 () (not (= @t84 @t77))) % 15.82/16.11 (define @t250 () (not (= @t72 @t79))) % 15.82/16.11 (define @t251 () (or @t250 @t228 @t227 @t250 @t249 @t248)) % 15.82/16.11 (define @t252 () (@list @t72)) % 15.82/16.11 (define @t253 () (or @t228 @t227 @t250 @t249 @t248)) % 15.82/16.11 (define @t254 () (forall @t252 @t253)) % 15.82/16.11 (define @t255 () (forall @t230 @t254)) % 15.82/16.11 (define @t256 () (@list @t83 @t74 @t72)) % 15.82/16.11 (define @t257 () (not (= @t84 @t84))) % 15.82/16.11 (define @t258 () (or @t228 @t257 @t227 @t250 @t249 @t248)) % 15.82/16.11 (define @t259 () (not (= @t72 @t75))) % 15.82/16.11 (define @t260 () (not (= @t73 @t77))) % 15.82/16.11 (define @t261 () (not (= tptp.sk_c12 @t81))) % 15.82/16.11 (define @t262 () (not (= @t73 @t84))) % 15.82/16.11 (define @t263 () (not (= tptp.sk_c12 @t86))) % 15.82/16.11 (define @t264 () (or @t262 @t263 @t262 @t261 @t250 @t260 @t259)) % 15.82/16.11 (define @t265 () (@list @t73)) % 15.82/16.11 (define @t266 () (or @t263 @t262 @t261 @t250 @t260 @t259)) % 15.82/16.11 (define @t267 () (forall @t265 @t266)) % 15.82/16.11 (define @t268 () (forall @t256 @t267)) % 15.82/16.11 (define @t269 () (forall (@list @t83 @t74 @t72 @t73) @t266)) % 15.82/16.11 (define @t270 () (forall (@list @t83 @t73 @t74 @t72) @t266)) % 15.82/16.11 (define @t271 () (not (= tptp.sk_c11 @t89))) % 15.82/16.11 (define @t272 () (not (= tptp.sk_c10 @t91))) % 15.82/16.11 (define @t273 () (or @t272 @t271)) % 15.82/16.11 (define @t274 () (forall (@list @t88) @t273)) % 15.82/16.11 (define @t275 () (not (= tptp.sk_c12 @t94))) % 15.82/16.11 (define @t276 () (not (= tptp.sk_c11 @t96))) % 15.82/16.11 (define @t277 () (or @t276 @t275)) % 15.82/16.11 (define @t278 () (forall (@list @t93) @t277)) % 15.82/16.11 (define @t279 () (or @t187 @t244 @t221 @t235 @t278 @t274 @t270)) % 15.82/16.11 (define @t280 () (or @t187 @t243 @t220 @t234 @t277 @t273 @t266)) % 15.82/16.11 (define @t281 () (or @t187 @t242 @t241 @t219 @t218 @t233 @t232 @t276 @t275 @t272 @t271 @t263 @t262 @t261 @t250 @t260 @t259)) % 15.82/16.11 (define @t282 () (not @t124)) % 15.82/16.11 (define @t283 () (= tptp.sk_c11 @t40)) % 15.82/16.11 (define @t284 () (not @t283)) % 15.82/16.11 (define @t285 () (or @t284 @t282)) % 15.82/16.11 (define @t286 () (@list tptp.sk_c1)) % 15.82/16.11 (define @t287 () (= tptp.sk_c11 @t58)) % 15.82/16.11 (define @t288 () (tptp.multiply @t46 tptp.sk_c1)) % 15.82/16.11 (define @t289 () (= tptp.identity @t288)) % 15.82/16.11 (define @t290 () (tptp.multiply @t46 @t40)) % 15.82/16.11 (define @t291 () (tptp.multiply @t288 tptp.sk_c12)) % 15.82/16.11 (define @t292 () (= @t291 @t290)) % 15.82/16.11 (define @t293 () (tptp.multiply @t46 tptp.sk_c11)) % 15.82/16.11 (define @t294 () (and @t128 @t283 @t124 @t130 @t150 @t132 @t152 @t289 @t292 @t154 @t158)) % 15.82/16.11 (define @t295 () (not @t292)) % 15.82/16.11 (define @t296 () (not @t289)) % 15.82/16.11 (define @t297 () (and @t180 @t127 @t128 @t283 @t124 @t130 @t150 @t132 @t152 @t173 @t175 @t289 @t292 @t154 @t158)) % 15.82/16.11 (define @t298 () (and @t180 @t127 @t128 @t283 @t124 @t130 @t150 @t132 @t152 @t173 @t175 @t189 @t289 @t292 @t158)) % 15.82/16.11 (define @t299 () (and @t128 @t283 @t124 @t130 @t150 @t132 @t152 @t173 @t175 @t289 @t292 @t158)) % 15.82/16.11 (define @t300 () (and @t180 @t126 @t127 @t128 @t283 @t124 @t130 @t150 @t132 @t152 @t173 @t175 @t289 @t292 @t158)) % 15.82/16.11 (define @t301 () (and @t127 @t128 @t283 @t124 @t130 @t150 @t132 @t152 @t173 @t175 @t289 @t292 @t158)) % 15.82/16.11 (define @t302 () (not @t287)) % 15.82/16.11 (define @t303 () (= tptp.sk_c10 @t52)) % 15.82/16.11 (define @t304 () (not @t303)) % 15.82/16.11 (define @t305 () (or @t304 @t302)) % 15.82/16.11 (define @t306 () (@list tptp.sk_c2)) % 15.82/16.11 (define @t307 () (= tptp.sk_c12 (tptp.multiply tptp.sk_c2 @t58))) % 15.82/16.11 (define @t308 () (and @t180 @t283 @t124 @t303 @t287 @t130 @t150 @t132 @t152 @t289 @t292 @t158)) % 15.82/16.11 (define @t309 () (tptp.multiply @t58 tptp.sk_c2)) % 15.82/16.11 (define @t310 () (= tptp.identity @t309)) % 15.82/16.11 (define @t311 () (tptp.multiply @t58 @t52)) % 15.82/16.11 (define @t312 () (tptp.multiply @t309 tptp.sk_c11)) % 15.82/16.11 (define @t313 () (= @t312 @t311)) % 15.82/16.11 (define @t314 () (= tptp.sk_c12 (tptp.multiply @t58 tptp.sk_c11))) % 15.82/16.11 (define @t315 () (and @t180 @t283 @t124 @t303 @t287 @t130 @t150 @t132 @t152 @t289 @t310 @t313 @t292 @t158)) % 15.82/16.11 (define @t316 () (not @t313)) % 15.82/16.11 (define @t317 () (not @t310)) % 15.82/16.11 (define @t318 () (tptp.multiply tptp.identity tptp.sk_c2)) % 15.82/16.11 (define @t319 () (= tptp.sk_c2 @t318)) % 15.82/16.11 (define @t320 () (tptp.multiply @t129 tptp.sk_c2)) % 15.82/16.11 (define @t321 () (tptp.multiply tptp.identity @t318)) % 15.82/16.11 (define @t322 () (= @t163 (tptp.multiply tptp.identity @t58))) % 15.82/16.11 (define @t323 () (and @t283 @t124 @t287 @t130 @t150 @t132 @t152 @t289 @t319 @t310 @t292 @t158)) % 15.82/16.11 (define @t324 () (not @t319)) % 15.82/16.11 (define @t325 () (= @t58 @t203)) % 15.82/16.11 (define @t326 () (not @t322)) % 15.82/16.11 (define @t327 () (not @t325)) % 15.82/16.11 (define @t328 () (not @t314)) % 15.82/16.11 (define @t329 () (not @t307)) % 15.82/16.11 (define @t330 () (or @t329 @t328 @t327 @t326)) % 15.82/16.11 (define @t331 () (= tptp.sk_c11 @t68)) % 15.82/16.11 (define @t332 () (not @t331)) % 15.82/16.11 (define @t333 () (= tptp.sk_c12 @t64)) % 15.82/16.11 (define @t334 () (not @t333)) % 15.82/16.11 (define @t335 () (or @t334 @t332)) % 15.82/16.11 (define @t336 () (forall @t3 (= tptp.identity @t5))) % 15.82/16.11 (define @t337 () (forall @t3 (= @t1 @t2))) % 15.82/16.11 (define @t338 () (and @t180 @t126 @t283 @t124 @t303 @t287 @t130 @t150 @t132 @t152 @t289 @t319 @t310 @t313 @t292 @t158)) % 15.82/16.11 (define @t339 () (@list true)) % 15.82/16.11 (define @t340 () (@list @t180)) % 15.82/16.11 (define @t341 () (= tptp.sk_c12 @t24)) % 15.82/16.11 (define @t342 () (= tptp.sk_c9 @t27)) % 15.82/16.11 (define @t343 () (= tptp.sk_c12 @t30)) % 15.82/16.11 (define @t344 () (= tptp.sk_c7 @t33)) % 15.82/16.11 (define @t345 () (= tptp.sk_c9 @t36)) % 15.82/16.11 (define @t346 () (tptp.inverse tptp.sk_c9)) % 15.82/16.11 (define @t347 () (tptp.multiply tptp.sk_c6 @t30)) % 15.82/16.11 (define @t348 () (tptp.multiply @t24 tptp.sk_c11)) % 15.82/16.11 (define @t349 () (= @t348 @t347)) % 15.82/16.11 (define @t350 () (not @t349)) % 15.82/16.11 (define @t351 () (tptp.multiply @t346 tptp.sk_c9)) % 15.82/16.11 (define @t352 () (tptp.multiply @t351 @t33)) % 15.82/16.11 (define @t353 () (= @t352 (tptp.multiply @t346 (tptp.multiply tptp.sk_c9 @t33)))) % 15.82/16.11 (define @t354 () (not @t353)) % 15.82/16.11 (define @t355 () (tptp.multiply tptp.sk_c7 tptp.sk_c8)) % 15.82/16.11 (define @t356 () (tptp.multiply @t36 @t355)) % 15.82/16.11 (define @t357 () (tptp.multiply @t36 tptp.sk_c7)) % 15.82/16.11 (define @t358 () (= (tptp.multiply @t357 tptp.sk_c8) @t356)) % 15.82/16.11 (define @t359 () (not @t358)) % 15.82/16.11 (define @t360 () (tptp.multiply tptp.sk_c9 tptp.sk_c6)) % 15.82/16.11 (define @t361 () (tptp.multiply @t346 @t360)) % 15.82/16.11 (define @t362 () (= (tptp.multiply @t351 tptp.sk_c6) @t361)) % 15.82/16.11 (define @t363 () (not @t362)) % 15.82/16.11 (define @t364 () (= tptp.identity @t357)) % 15.82/16.11 (define @t365 () (not @t364)) % 15.82/16.11 (define @t366 () (tptp.multiply tptp.identity tptp.sk_c7)) % 15.82/16.11 (define @t367 () (= tptp.sk_c7 @t366)) % 15.82/16.11 (define @t368 () (not @t367)) % 15.82/16.11 (define @t369 () (= tptp.identity (tptp.multiply @t33 tptp.sk_c8))) % 15.82/16.11 (define @t370 () (not @t369)) % 15.82/16.11 (define @t371 () (tptp.multiply tptp.identity tptp.sk_c8)) % 15.82/16.11 (define @t372 () (= tptp.sk_c8 @t371)) % 15.82/16.11 (define @t373 () (not @t372)) % 15.82/16.11 (define @t374 () (= tptp.identity @t351)) % 15.82/16.11 (define @t375 () (not @t374)) % 15.82/16.11 (define @t376 () (= tptp.identity (tptp.multiply @t27 tptp.sk_c6))) % 15.82/16.11 (define @t377 () (not @t376)) % 15.82/16.11 (define @t378 () (tptp.multiply tptp.identity tptp.sk_c6)) % 15.82/16.11 (define @t379 () (= tptp.sk_c6 @t378)) % 15.82/16.11 (define @t380 () (not @t379)) % 15.82/16.11 (define @t381 () (not @t345)) % 15.82/16.11 (define @t382 () (not @t344)) % 15.82/16.11 (define @t383 () (not @t343)) % 15.82/16.11 (define @t384 () (not @t342)) % 15.82/16.11 (define @t385 () (not @t341)) % 15.82/16.11 (define @t386 () (= @t347 @t348)) % 15.82/16.11 (define @t387 () (tptp.inverse @t27)) % 15.82/16.11 (define @t388 () (and @t349 @t350)) % 15.82/16.11 (assume @p1 @t4) % 15.82/16.11 (assume @p2 @t6) % 15.82/16.11 (assume @p3 @t9) % 15.82/16.11 (assume @p4 @t14) % 15.82/16.11 (assume @p5 @t17) % 15.82/16.11 (assume @p6 @t20) % 15.82/16.11 (assume @p7 @t23) % 15.82/16.11 (assume @p8 @t26) % 15.82/16.11 (assume @p9 @t29) % 15.82/16.11 (assume @p10 @t32) % 15.82/16.11 (assume @p11 @t35) % 15.82/16.11 (assume @p12 @t38) % 15.82/16.11 (assume @p13 (or @t13 @t39)) % 15.82/16.11 (assume @p14 @t42) % 15.82/16.11 (assume @p15 @t43) % 15.82/16.11 (assume @p16 @t44) % 15.82/16.11 (assume @p17 @t45) % 15.82/16.11 (assume @p18 (or @t41 @t25)) % 15.82/16.11 (assume @p19 (or @t41 @t28)) % 15.82/16.11 (assume @p20 (or @t41 @t31)) % 15.82/16.11 (assume @p21 (or @t41 @t34)) % 15.82/16.11 (assume @p22 (or @t41 @t37)) % 15.82/16.11 (assume @p23 (or @t41 @t39)) % 15.82/16.11 (assume @p24 @t48) % 15.82/16.11 (assume @p25 @t49) % 15.82/16.11 (assume @p26 @t50) % 15.82/16.11 (assume @p27 @t51) % 15.82/16.11 (assume @p28 (or @t47 @t25)) % 15.82/16.11 (assume @p29 (or @t47 @t28)) % 15.82/16.11 (assume @p30 (or @t47 @t31)) % 15.82/16.11 (assume @p31 (or @t47 @t34)) % 15.82/16.11 (assume @p32 (or @t47 @t37)) % 15.82/16.11 (assume @p33 (or @t47 @t39)) % 15.82/16.11 (assume @p34 @t54) % 15.82/16.11 (assume @p35 @t55) % 15.82/16.11 (assume @p36 @t56) % 15.82/16.11 (assume @p37 @t57) % 15.82/16.11 (assume @p38 (or @t53 @t25)) % 15.82/16.11 (assume @p39 (or @t53 @t28)) % 15.82/16.11 (assume @p40 (or @t53 @t31)) % 15.82/16.11 (assume @p41 (or @t53 @t34)) % 15.82/16.11 (assume @p42 (or @t53 @t37)) % 15.82/16.11 (assume @p43 (or @t53 @t39)) % 15.82/16.11 (assume @p44 @t60) % 15.82/16.11 (assume @p45 @t61) % 15.82/16.11 (assume @p46 @t62) % 15.82/16.11 (assume @p47 @t63) % 15.82/16.11 (assume @p48 (or @t59 @t25)) % 15.82/16.11 (assume @p49 (or @t59 @t28)) % 15.82/16.11 (assume @p50 (or @t59 @t31)) % 15.82/16.11 (assume @p51 (or @t59 @t34)) % 15.82/16.11 (assume @p52 (or @t59 @t37)) % 15.82/16.11 (assume @p53 (or @t59 @t39)) % 15.82/16.11 (assume @p54 @t66) % 15.82/16.11 (assume @p55 @t67) % 15.82/16.11 (assume @p56 (or @t65 @t19)) % 15.82/16.11 (assume @p57 (or @t65 @t22)) % 15.82/16.11 (assume @p58 (or @t65 @t25)) % 15.82/16.11 (assume @p59 (or @t65 @t28)) % 15.82/16.11 (assume @p60 (or @t65 @t31)) % 15.82/16.11 (assume @p61 (or @t65 @t34)) % 15.82/16.11 (assume @p62 (or @t65 @t37)) % 15.82/16.11 (assume @p63 (or @t65 @t39)) % 15.82/16.11 (assume @p64 @t70) % 15.82/16.11 (assume @p65 @t71) % 15.82/16.11 (assume @p66 (or @t69 @t19)) % 15.82/16.11 (assume @p67 (or @t69 @t22)) % 15.82/16.11 (assume @p68 (or @t69 @t25)) % 15.82/16.11 (assume @p69 (or @t69 @t28)) % 15.82/16.11 (assume @p70 (or @t69 @t31)) % 15.82/16.11 (assume @p71 (or @t69 @t34)) % 15.82/16.11 (assume @p72 (or @t69 @t37)) % 15.82/16.11 (assume @p73 (or @t69 @t39)) % 15.82/16.11 (assume @p74 @t116) % 15.82/16.11 (step @p75 :rule eq-symm :args (@t2 @t1)) % 15.82/16.11 (step @p76 :rule cong :premises (@p75) :args (@t4)) % 15.82/16.11 (step @p77 :rule eq_resolve :premises (@p1 @p76)) % 15.82/16.11 (step @p78 :rule instantiate :premises (@p77) :args ((@list tptp.identity))) % 15.82/16.11 (step @p79 :rule instantiate :premises (@p77) :args (@t117)) % 15.82/16.11 (step @p80 :rule instantiate :premises (@p77) :args (@t118)) % 15.82/16.11 (step @p81 :rule eq-symm :args (@t5 tptp.identity)) % 15.82/16.11 (step @p82 :rule cong :premises (@p81) :args (@t6)) % 15.82/16.11 (step @p83 :rule eq_resolve :premises (@p2 @p82)) % 15.82/16.11 (step @p84 :rule instantiate :premises (@p83) :args (@t118)) % 15.82/16.11 (step @p85 :rule instantiate :premises (@p83) :args ((@list tptp.sk_c4))) % 15.82/16.11 (step @p86 :rule instantiate :premises (@p77) :args (@t119)) % 15.82/16.11 (step @p87 :rule instantiate :premises (@p83) :args (@t119)) % 15.82/16.11 (step @p88 :rule instantiate :premises (@p77) :args (@t120)) % 15.82/16.11 (step @p89 :rule instantiate :premises (@p83) :args (@t120)) % 15.82/16.11 (step @p90 :rule instantiate :premises (@p83) :args ((@list tptp.sk_c9))) % 15.82/16.11 (step @p91 :rule instantiate :premises (@p77) :args (@t121)) % 15.82/16.11 (step @p92 :rule instantiate :premises (@p83) :args (@t121)) % 15.82/16.11 (step @p93 :rule instantiate :premises (@p77) :args (@t122)) % 15.82/16.11 (step @p94 :rule instantiate :premises (@p83) :args (@t122)) % 15.82/16.11 (step @p95 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c4 tptp.sk_c12))) % 15.82/16.11 (step @p96 :rule instantiate :premises (@p3) :args ((@list @t123 tptp.sk_c12 tptp.sk_c11))) % 15.82/16.11 (step @p97 :rule eq-symm :args (@t10 tptp.sk_c11)) % 15.82/16.11 (step @p98 :rule eq-symm :args (@t46 tptp.sk_c12)) % 15.82/16.11 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t48)) % 15.82/16.11 (step @p100 :rule eq_resolve :premises (@p24 @p99)) % 15.82/16.11 (step @p101 :rule reordering :premises (@p100) :args ((or @t125 @t124))) % 15.82/16.11 (step @p102 :rule eq-symm :args (@t15 tptp.sk_c12)) % 15.82/16.11 (step @p103 :rule nary_cong :premises (@p98 @p102) :args (@t49)) % 15.82/16.11 (step @p104 :rule eq_resolve :premises (@p25 @p103)) % 15.82/16.11 (step @p105 :rule reordering :premises (@p104) :args ((or @t126 @t124))) % 15.82/16.11 (step @p106 :rule eq-symm :args (@t18 tptp.sk_c10)) % 15.82/16.11 (step @p107 :rule nary_cong :premises (@p98 @p106) :args (@t50)) % 15.82/16.11 (step @p108 :rule eq_resolve :premises (@p26 @p107)) % 15.82/16.11 (step @p109 :rule reordering :premises (@p108) :args ((or @t127 @t124))) % 15.82/16.11 (step @p110 :rule eq-symm :args (@t21 tptp.sk_c11)) % 15.82/16.11 (step @p111 :rule nary_cong :premises (@p98 @p110) :args (@t51)) % 15.82/16.11 (step @p112 :rule eq_resolve :premises (@p27 @p111)) % 15.82/16.11 (step @p113 :rule reordering :premises (@p112) :args ((or @t128 @t124))) % 15.82/16.11 (assume-push @p2413 @t125) % 15.82/16.11 (assume-push @p2414 @t130) % 15.82/16.11 (assume-push @p2415 @t132) % 15.82/16.11 (assume-push @p2416 @t134) % 15.82/16.11 (assume-push @p2417 @t137) % 15.82/16.11 (assume-push @p2418 @t125) % 15.82/16.11 (assume-push @p2419 @t137) % 15.82/16.11 (assume-push @p2420 @t134) % 15.82/16.11 (assume-push @p2421 @t132) % 15.82/16.11 (assume-push @p2422 @t130) % 15.82/16.11 (step 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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 false false false false false) (@list @t278 @t244 @t274 @t235 @t231 @t221 @t217 @t214 @t209 @t205 @t158 @t137 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t204 @t158 @t137 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t201 @t200 @t158 @t137 @t198 @t195 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t190 @t158 @t137 @t189 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t182 @t158 @t154 @t137 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t178 @t158 @t137 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t164 @t158 @t154 @t137 @t134 @t152 @t132 @t150 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15.82/16.11 (assume-push @p3057 @t175) % 15.82/16.11 (assume-push @p3058 @t150) % 15.82/16.11 (assume-push @p3059 @t152) % 15.82/16.11 (assume-push @p3060 @t158) % 15.82/16.11 (assume-push @p3061 @t124) % 15.82/16.11 (assume-push @p3062 @t283) % 15.82/16.11 (assume-push @p3063 @t292) % 15.82/16.11 (assume-push @p3064 @t289) % 15.82/16.11 (assume-push @p3065 @t132) % 15.82/16.11 (assume-push @p3066 @t173) % 15.82/16.11 (assume-push @p3067 @t127) % 15.82/16.11 (assume-push @p3068 @t180) % 15.82/16.11 (step @p1261 :rule symm :premises (@p3041)) % 15.82/16.11 (step @p175 :rule refl :args (@t159)) % 15.82/16.11 (step @p1262 :rule cong :premises (@p175 @p1261) :args (@t188)) % 15.82/16.11 (step @p129 :rule symm :premises (@p78)) % 15.82/16.11 (step @p176 :rule symm :premises (@p84)) % 15.82/16.11 (step @p127 :rule symm :premises (@p80)) % 15.82/16.11 (step @p131 :rule refl :args (tptp.sk_c12)) % 15.82/16.11 (step @p177 :rule cong :premises (@p129 @p131) :args (@t139)) % 15.82/16.11 (step 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15.82/16.12 (step @p186 :rule refl :args (@t123)) % 15.82/16.12 (step @p1816 :rule cong :premises (@p186 @p1815) :args (@t151)) % 15.82/16.12 (step @p1817 :rule trans :premises (@p84 @p1816 @p260 @p259 @p258 @p257 @p188 @p3415)) % 15.82/16.12 (step @p1818 :rule refl :args (tptp.identity)) % 15.82/16.12 (step @p1819 :rule cong :premises (@p1818 @p1817) :args (@t129)) % 15.82/16.12 (step @p1820 :rule symm :premises (@p1816)) % 15.82/16.12 (step @p189 :rule cong :premises (@p84 @p188) :args (@t160)) % 15.82/16.12 (step @p190 :rule cong :premises (@p129 @p79) :args (@t161)) % 15.82/16.12 (step @p191 :rule cong :premises (@p78 @p183) :args (@t149)) % 15.82/16.12 (step @p1821 :rule symm :premises (@p3415)) % 15.82/16.12 (step @p1822 :rule symm :premises (@p1786)) % 15.82/16.12 (step @p1657 :rule refl :args (tptp.sk_c2)) % 15.82/16.12 (step @p1823 :rule cong :premises (@p129 @p1657) :args (@t320)) % 15.82/16.12 (step @p1824 :rule cong :premises (@p78 @p1822) :args (@t321)) % 15.82/16.12 (step 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(step-pop @p3571 :rule scope :premises (@p3570)) % 15.82/16.12 (step-pop @p3572 :rule scope :premises (@p3571)) % 15.82/16.12 (step-pop @p3573 :rule scope :premises (@p3572)) % 15.82/16.12 (step-pop @p3574 :rule scope :premises (@p3573)) % 15.82/16.12 (step-pop @p3575 :rule scope :premises (@p3574)) % 15.82/16.12 (step-pop @p3576 :rule scope :premises (@p3575)) % 15.82/16.12 (step-pop @p3577 :rule scope :premises (@p3576)) % 15.82/16.12 (step-pop @p3578 :rule scope :premises (@p3577)) % 15.82/16.12 (step-pop @p3579 :rule scope :premises (@p3578)) % 15.82/16.12 (step-pop @p3580 :rule scope :premises (@p3579)) % 15.82/16.12 (step @p2045 :rule process_scope :premises (@p3580) :args (@t205)) % 15.82/16.12 (step @p2062 :rule and_intro :premises (@p3534 @p80 @p78 @p84 @p1065 @p1066 @p3535 @p3536 @p96 @p79 @p3538 @p3533 @p3537 @p1703 @p1702 @p1786)) % 15.82/16.12 (step @p2063 :rule modus_ponens :premises (@p2062 @p2045)) % 15.82/16.12 (step-pop @p3581 :rule scope :premises (@p2063)) % 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(@p3596) :args (@t205)) % 15.82/16.12 (step @p2081 :rule implies_elim :premises (@p2064)) % 15.82/16.12 (step @p2082 :rule cnf_and_neg :args (@t338)) % 15.82/16.12 (step @p2083 :rule resolution :premises (@p2082 @p2081) :args (true @t338)) % 15.82/16.12 (step @p2084 :rule reordering :premises (@p2083) :args ((or @t187 @t171 @t284 @t282 @t304 @t302 @t146 @t169 @t145 @t168 @t296 @t324 @t317 @t316 @t295 @t205 @t166))) % 15.82/16.12 (step @p2085 :rule chain_m_resolution :premises (@p755 @p2084 @p96 @p1066 @p1703 @p1702 @p1786 @p1065 @p84 @p80 @p79 @p78 @p151 @p95 @p85 @p80 @p78 @p1990 @p1987 @p779 @p1043 @p781 @p1632 @p1627 @p951 @p1051 @p1046 @p1938 @p1933 @p1701 @p1861 @p1931 @p1983 @p1785 @p1979 @p1975 @p1971 @p77 @p1967 @p1963 @p1959 @p83 @p1955 @p1951 @p1947 @p3) :args ((or @t331 @t187 @t284 @t282 @t304 @t302) (@list false false false false false false false false false false false false false false false false false false false false true true true true true true true true false false false false false false false false false false false false false false false false false) (@list @t205 @t158 @t292 @t313 @t310 @t319 @t289 @t152 @t132 @t150 @t130 @t141 @t137 @t134 @t132 @t130 @t126 @t125 @t217 @t235 @t274 @t221 @t305 @t278 @t244 @t285 @t231 @t330 @t307 @t322 @t325 @t319 @t314 @t130 @t150 @t132 @t337 @t152 @t289 @t310 @t336 @t313 @t292 @t158 @t9))) % 15.82/16.12 (step @p2086 :rule cnf_or_pos :args (@t335)) % 15.82/16.12 (step @p2087 :rule reordering :premises (@p2086) :args ((or @t334 @t332 (not @t335)))) % 15.82/16.12 (step @p2088 :rule eq-symm :args (@t64 tptp.sk_c12)) % 15.82/16.12 (step @p2089 :rule nary_cong :premises (@p2088 @p97) :args (@t66)) % 15.82/16.12 (step @p2090 :rule eq_resolve :premises (@p54 @p2089)) % 15.82/16.12 (step @p2091 :rule reordering :premises (@p2090) :args ((or @t125 @t333))) % 15.82/16.12 (step @p2092 :rule nary_cong :premises (@p2088 @p102) :args (@t67)) % 15.82/16.12 (step @p2093 :rule eq_resolve :premises (@p55 @p2092)) % 15.82/16.12 (step @p2094 :rule reordering :premises (@p2093) :args ((or @t126 @t333))) % 15.82/16.12 (step @p2095 :rule chain_m_resolution :premises (@p755 @p2084 @p96 @p1066 @p1703 @p1702 @p1786 @p1065 @p84 @p80 @p79 @p78 @p151 @p95 @p85 @p80 @p78 @p2094 @p2091 @p2087 @p2085 @p779 @p1943 @p1043 @p1938 @p1933 @p1931 @p96 @p1066 @p1702 @p1786 @p1065 @p84 @p80 @p79 @p78 @p1861 @p96 @p1066 @p1702 @p1786 @p1065 @p84 @p80 @p79 @p78 @p1785 @p96 @p1066 @p1703 @p1702 @p1065 @p84 @p80 @p79 @p78 @p1701 @p96 @p1066 @p1065 @p84 @p80 @p79 @p78 @p781 @p1632 @p1627 @p951 @p1051 @p1046) :args ((or @t187 @t284 @t282 @t304 @t302) (@list false false false false false false false false false false false false false false false false false false true false false false false 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 true true true true true true) (@list @t205 @t158 @t292 @t313 @t310 @t319 @t289 @t152 @t132 @t150 @t130 @t141 @t137 @t134 @t132 @t130 @t126 @t125 @t333 @t331 @t217 @t335 @t235 @t231 @t330 @t325 @t158 @t292 @t310 @t319 @t289 @t152 @t132 @t150 @t130 @t322 @t158 @t292 @t310 @t319 @t289 @t152 @t132 @t150 @t130 @t314 @t158 @t292 @t313 @t310 @t289 @t152 @t132 @t150 @t130 @t307 @t158 @t292 @t289 @t152 @t132 @t150 @t130 @t274 @t221 @t305 @t278 @t244 @t285))) % 15.82/16.12 (step @p2096 :rule eq-symm :args (@t52 tptp.sk_c10)) % 15.82/16.12 (step @p2097 :rule nary_cong :premises (@p2096 @p97) :args (@t54)) % 15.82/16.12 (step @p2098 :rule eq_resolve :premises (@p34 @p2097)) % 15.82/16.12 (step @p2099 :rule reordering :premises (@p2098) :args ((or @t125 @t303))) % 15.82/16.12 (step @p2100 :rule nary_cong :premises (@p2096 @p102) :args (@t55)) % 15.82/16.12 (step @p2101 :rule eq_resolve :premises (@p35 @p2100)) % 15.82/16.12 (step @p2102 :rule reordering :premises (@p2101) :args ((or @t126 @t303))) % 15.82/16.12 (step @p2103 :rule nary_cong :premises (@p2096 @p106) :args (@t56)) % 15.82/16.12 (step @p2104 :rule eq_resolve :premises (@p36 @p2103)) % 15.82/16.12 (step @p2105 :rule reordering :premises (@p2104) :args ((or @t127 @t303))) % 15.82/16.12 (step @p2106 :rule nary_cong :premises (@p2096 @p110) :args (@t57)) % 15.82/16.12 (step @p2107 :rule eq_resolve :premises (@p37 @p2106)) % 15.82/16.12 (step @p2108 :rule reordering :premises (@p2107) :args ((or @t128 @t303))) % 15.82/16.12 (step @p2109 :rule chain_m_resolution :premises (@p1043 @p774 @p779 @p753 @p755 @p781 @p1137 @p96 @p152 @p1066 @p1065 @p84 @p80 @p79 @p78 @p1230 @p96 @p152 @p1066 @p1065 @p87 @p86 @p84 @p80 @p79 @p78 @p1317 @p96 @p1066 @p1065 @p402 @p87 @p86 @p84 @p80 @p79 @p78 @p1390 @p96 @p1066 @p1065 @p87 @p86 @p84 @p80 @p79 @p78 @p1480 @p96 @p1066 @p1065 @p87 @p86 @p84 @p80 @p79 @p78 @p1624 @p151 @p95 @p85 @p80 @p78 @p2108 @p2105 @p2102 @p2099 @p2095 @p1625 @p951 @p1051 @p1046) :args ((or @t187 @t284 @t282) (@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 true false false false false false false false false false true false true true true) (@list @t231 @t235 @t214 @t217 @t274 @t164 @t158 @t154 @t292 @t289 @t152 @t132 @t150 @t130 @t182 @t158 @t154 @t292 @t289 @t175 @t173 @t152 @t132 @t150 @t130 @t190 @t158 @t292 @t289 @t189 @t175 @t173 @t152 @t132 @t150 @t130 @t204 @t158 @t292 @t289 @t175 @t173 @t152 @t132 @t150 @t130 @t205 @t158 @t292 @t289 @t175 @t173 @t152 @t132 @t150 @t130 @t221 @t141 @t137 @t134 @t132 @t130 @t128 @t127 @t126 @t125 @t303 @t287 @t278 @t244 @t285))) % 15.82/16.12 (step @p2110 :rule eq-symm :args (@t40 tptp.sk_c11)) % 15.82/16.12 (step @p2111 :rule nary_cong :premises (@p2110 @p97) :args (@t42)) % 15.82/16.12 (step @p2112 :rule eq_resolve :premises (@p14 @p2111)) % 15.82/16.12 (step @p2113 :rule reordering :premises (@p2112) :args ((or @t125 @t283))) % 15.82/16.12 (step @p2114 :rule nary_cong :premises (@p2110 @p102) :args (@t43)) % 15.82/16.12 (step @p2115 :rule eq_resolve :premises (@p15 @p2114)) % 15.82/16.12 (step @p2116 :rule reordering :premises (@p2115) :args ((or @t126 @t283))) % 15.82/16.12 (step @p2117 :rule nary_cong :premises (@p2110 @p106) :args (@t44)) % 15.82/16.12 (step @p2118 :rule eq_resolve :premises (@p16 @p2117)) % 15.82/16.12 (step @p2119 :rule reordering :premises (@p2118) :args ((or @t127 @t283))) % 15.82/16.12 (step @p2120 :rule nary_cong :premises (@p2110 @p110) :args (@t45)) % 15.82/16.12 (step @p2121 :rule eq_resolve :premises (@p17 @p2120)) % 15.82/16.12 (step @p2122 :rule reordering :premises (@p2121) :args ((or @t128 @t283))) % 15.82/16.12 (step @p2123 :rule chain_m_resolution :premises (@p781 @p1043 @p760 @p774 @p779 @p751 @p753 @p755 @p951 @p232 @p96 @p152 @p95 @p85 @p84 @p80 @p79 @p78 @p309 @p96 @p95 @p87 @p86 @p85 @p84 @p80 @p79 @p78 @p401 @p96 @p152 @p95 @p87 @p86 @p85 @p84 @p80 @p79 @p78 @p489 @p96 @p95 @p402 @p87 @p86 @p85 @p84 @p80 @p79 @p78 @p589 @p492 @p96 @p95 @p491 @p490 @p87 @p86 @p85 @p84 @p80 @p79 @p78 @p663 @p96 @p95 @p87 @p86 @p85 @p84 @p80 @p79 @p78 @p749 @p96 @p95 @p87 @p86 @p85 @p84 @p80 @p79 @p78 @p949 @p151 @p95 @p85 @p80 @p78 @p2122 @p2119 @p2116 @p2113 @p2109 @p1044) :args (@t187 (@list false true true 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 false false false false false false false false false false false false true false false false false false false false false false true false) (@list @t274 @t221 @t231 @t235 @t209 @t214 @t217 @t278 @t164 @t158 @t154 @t137 @t134 @t152 @t132 @t150 @t130 @t178 @t158 @t137 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t182 @t158 @t154 @t137 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t190 @t158 @t137 @t189 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t201 @t200 @t158 @t137 @t198 @t195 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t204 @t158 @t137 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t205 @t158 @t137 @t175 @t173 @t134 @t152 @t132 @t150 @t130 @t244 @t141 @t137 @t134 @t132 @t130 @t128 @t127 @t126 @t125 @t283 @t124))) % 15.82/16.12 (step @p2124 :rule nary_cong :premises (@p1038 @p97) :args (@t14)) % 15.82/16.12 (step @p2125 :rule eq_resolve :premises (@p4 @p2124)) % 15.82/16.12 (step @p2126 :rule chain_m_resolution :premises (@p2125 @p2123) :args (@t125 @t339 @t340)) % 15.82/16.12 (step @p2127 :rule nary_cong :premises (@p1038 @p102) :args (@t17)) % 15.82/16.12 (step @p2128 :rule eq_resolve :premises (@p5 @p2127)) % 15.82/16.12 (step @p2129 :rule chain_m_resolution :premises (@p2128 @p2123) :args (@t126 @t339 @t340)) % 15.82/16.12 (step @p2130 :rule nary_cong :premises (@p1038 @p106) :args (@t20)) % 15.82/16.12 (step @p2131 :rule eq_resolve :premises (@p6 @p2130)) % 15.82/16.12 (step @p2132 :rule chain_m_resolution :premises (@p2131 @p2123) :args (@t127 @t339 @t340)) % 15.82/16.12 (step @p2133 :rule nary_cong :premises (@p1038 @p110) :args (@t23)) % 15.82/16.12 (step @p2134 :rule eq_resolve :premises (@p7 @p2133)) % 15.82/16.12 (step @p2135 :rule chain_m_resolution :premises (@p2134 @p2123) :args (@t128 @t339 @t340)) % 15.82/16.12 (step @p2136 :rule eq-symm :args (@t24 tptp.sk_c12)) % 15.82/16.12 (step @p2137 :rule nary_cong :premises (@p1038 @p2136) :args (@t26)) % 15.82/16.12 (step @p2138 :rule eq_resolve :premises (@p8 @p2137)) % 15.82/16.12 (step @p2139 :rule chain_m_resolution :premises (@p2138 @p2123) :args (@t341 @t339 @t340)) % 15.82/16.12 (step @p2140 :rule eq-symm :args (@t27 tptp.sk_c9)) % 15.82/16.12 (step @p2141 :rule nary_cong :premises (@p1038 @p2140) :args (@t29)) % 15.82/16.12 (step @p2142 :rule eq_resolve :premises (@p9 @p2141)) % 15.82/16.12 (step @p2143 :rule chain_m_resolution :premises (@p2142 @p2123) :args (@t342 @t339 @t340)) % 15.82/16.12 (step @p2144 :rule eq-symm :args (@t30 tptp.sk_c12)) % 15.82/16.12 (step @p2145 :rule nary_cong :premises (@p1038 @p2144) :args (@t32)) % 15.82/16.12 (step @p2146 :rule eq_resolve :premises (@p10 @p2145)) % 15.82/16.12 (step @p2147 :rule chain_m_resolution :premises (@p2146 @p2123) :args (@t343 @t339 @t340)) % 15.82/16.12 (step @p2148 :rule eq-symm :args (@t33 tptp.sk_c7)) % 15.82/16.12 (step @p2149 :rule nary_cong :premises (@p1038 @p2148) :args (@t35)) % 15.82/16.12 (step @p2150 :rule eq_resolve :premises (@p11 @p2149)) % 15.82/16.12 (step @p2151 :rule chain_m_resolution :premises (@p2150 @p2123) :args (@t344 @t339 @t340)) % 15.82/16.12 (step @p2152 :rule eq-symm :args (@t36 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:args (@t143)) % 15.82/16.12 (step @p2166 :rule refl :args (@t365)) % 15.82/16.12 (step @p2167 :rule refl :args (@t368)) % 15.82/16.12 (step @p2168 :rule refl :args (@t370)) % 15.82/16.12 (step @p2169 :rule refl :args (@t373)) % 15.82/16.12 (step @p2170 :rule refl :args (@t375)) % 15.82/16.12 (step @p2171 :rule refl :args (@t377)) % 15.82/16.12 (step @p2172 :rule refl :args (@t380)) % 15.82/16.12 (step @p2173 :rule refl :args (@t184)) % 15.82/16.12 (step @p2174 :rule refl :args (@t185)) % 15.82/16.12 (step @p2175 :rule refl :args (@t144)) % 15.82/16.12 (step @p2176 :rule refl :args (@t168)) % 15.82/16.12 (step @p2177 :rule refl :args (@t145)) % 15.82/16.12 (step @p2178 :rule refl :args (@t169)) % 15.82/16.12 (step @p2179 :rule refl :args (@t146)) % 15.82/16.12 (step @p2180 :rule bool-double-not-elim :args (@t180)) % 15.82/16.12 (step @p2181 :rule refl :args (@t381)) % 15.82/16.12 (step @p2182 :rule refl :args (@t382)) % 15.82/16.12 (step @p2183 :rule refl :args (@t383)) % 15.82/16.12 (step @p2184 :rule refl :args (@t384)) % 15.82/16.12 (step @p2185 :rule refl :args (@t385)) % 15.82/16.12 (step @p2186 :rule refl :args (@t170)) % 15.82/16.12 (step @p2187 :rule refl :args (@t186)) % 15.82/16.12 (step @p2188 :rule refl :args (@t171)) % 15.82/16.12 (step @p2189 :rule refl :args (@t147)) % 15.82/16.12 (step @p2190 :rule nary_cong :premises (@p2189 @p2188 @p2187 @p2186 @p2185 @p2184 @p2183 @p2182 @p2181 @p2180 @p2179 @p2178 @p2177 @p2176 @p2175 @p2174 @p2173 @p2172 @p2171 @p2170 @p2169 @p2168 @p2167 @p2166 @p2165 @p2164 @p2163 @p2162 @p2161 @p2160) :args ((or @t147 @t171 @t186 @t170 @t385 @t384 @t383 @t382 @t381 (not @t187) @t146 @t169 @t145 @t168 @t144 @t185 @t184 @t380 @t377 @t375 @t373 @t370 @t368 @t365 @t143 @t166 @t363 @t359 @t354 @t350))) % 15.82/16.12 (assume-push @p3597 @t349) % 15.82/16.12 (assume-push @p3598 @t350) % 15.82/16.12 (step @p2193 :rule evaluate :args ((= false true))) % 15.82/16.12 (step @p2194 :rule true_intro :premises (@p2159)) % 15.82/16.12 (step @p2195 :rule false_intro :premises (@p3598)) % 15.82/16.12 (step @p2196 :rule symm :premises (@p2195)) % 15.82/16.12 (step @p2197 :rule trans :premises (@p2196 @p2194)) % 15.82/16.12 (step @p2198 false :rule eq_resolve :premises (@p2197 @p2193)) % 15.82/16.12 (step-pop @p3599 :rule scope :premises (@p2198)) % 15.82/16.12 (step-pop @p3600 :rule scope :premises (@p3599)) % 15.82/16.12 (step @p2199 :rule process_scope :premises (@p3600) :args (false)) % 15.82/16.12 (assume-push @p3601 @t125) % 15.82/16.12 (assume-push @p3602 @t126) % 15.82/16.12 (assume-push @p3603 @t127) % 15.82/16.12 (assume-push @p3604 @t128) % 15.82/16.12 (assume-push @p3605 @t341) % 15.82/16.12 (assume-push @p3606 @t342) % 15.82/16.12 (assume-push @p3607 @t343) % 15.82/16.12 (assume-push @p3608 @t344) % 15.82/16.12 (assume-push @p3609 @t345) % 15.82/16.12 (assume-push @p3610 @t187) % 15.82/16.12 (assume-push @p3611 @t130) % 15.82/16.12 (assume-push @p3612 @t150) % 15.82/16.12 (assume-push @p3613 @t132) % 15.82/16.12 (assume-push @p3614 @t152) % 15.82/16.12 (assume-push @p3615 @t134) % 15.82/16.12 (assume-push @p3616 @t173) % 15.82/16.12 (assume-push @p3617 @t175) % 15.82/16.12 (assume-push @p3618 @t379) % 15.82/16.12 (assume-push @p3619 @t376) % 15.82/16.12 (assume-push @p3620 @t374) % 15.82/16.12 (assume-push @p3621 @t372) % 15.82/16.12 (assume-push @p3622 @t369) % 15.82/16.12 (assume-push @p3623 @t367) % 15.82/16.12 (assume-push @p3624 @t364) % 15.82/16.12 (assume-push @p3625 @t137) % 15.82/16.12 (assume-push @p3626 @t158) % 15.82/16.12 (assume-push @p3627 @t362) % 15.82/16.12 (assume-push @p3628 @t358) % 15.82/16.12 (assume-push @p3629 @t353) % 15.82/16.12 (assume-push @p3630 @t349) % 15.82/16.12 (assume-push @p3631 @t150) % 15.82/16.12 (assume-push @p3632 @t130) % 15.82/16.12 (assume-push @p3633 @t152) % 15.82/16.12 (assume-push @p3634 @t158) % 15.82/16.12 (assume-push @p3635 @t126) % 15.82/16.12 (assume-push @p3636 @t125) % 15.82/16.12 (assume-push @p3637 @t137) % 15.82/16.12 (assume-push @p3638 @t134) % 15.82/16.12 (assume-push @p3639 @t132) % 15.82/16.12 (assume-push @p3640 @t343) % 15.82/16.12 (assume-push @p3641 @t345) % 15.82/16.12 (assume-push @p3642 @t344) % 15.82/16.12 (assume-push @p3643 @t369) % 15.82/16.12 (assume-push @p3644 @t358) % 15.82/16.12 (assume-push @p3645 @t364) % 15.82/16.12 (assume-push @p3646 @t372) % 15.82/16.12 (assume-push @p3647 @t367) % 15.82/16.12 (assume-push @p3648 @t374) % 15.82/16.12 (assume-push @p3649 @t353) % 15.82/16.12 (assume-push @p3650 @t342) % 15.82/16.12 (assume-push @p3651 @t376) % 15.82/16.12 (assume-push @p3652 @t362) % 15.82/16.12 (assume-push @p3653 @t379) % 15.82/16.12 (assume-push @p3654 @t187) % 15.82/16.12 (assume-push @p3655 @t127) % 15.82/16.12 (assume-push @p3656 @t128) % 15.82/16.12 (assume-push @p3657 @t173) % 15.82/16.12 (assume-push @p3658 @t175) % 15.82/16.12 (assume-push @p3659 @t341) % 15.82/16.12 (step @p2261 :rule bool-eq-false :args (@t349)) % 15.82/16.12 (step @p2262 :rule symm :premises (@p2261)) % 15.82/16.12 (step @p2263 :rule eq-symm :args (@t347 @t348)) % 15.82/16.12 (step @p2264 :rule cong :premises (@p2263) :args ((not @t386))) % 15.82/16.12 (step @p2265 :rule bool-eq-false :args (@t386)) % 15.82/16.12 (step @p2266 :rule trans :premises (@p2265 @p2264)) % 15.82/16.12 (step @p2267 :rule trans :premises (@p2266 @p2262)) % 15.82/16.12 (step @p2268 :rule false_intro :premises (@p3610)) % 15.82/16.12 (step @p2269 :rule refl :args (@t12)) % 15.82/16.12 (step @p2270 :rule symm :premises (@p3603)) % 15.82/16.12 (step @p2271 :rule symm :premises (@p3604)) % 15.82/16.12 (step @p274 :rule refl :args (tptp.sk_c5)) % 15.82/16.12 (step @p2272 :rule cong :premises (@p274 @p2271) :args (@t181)) % 15.82/16.12 (step @p188 :rule symm :premises (@p79)) % 15.82/16.12 (step @p183 :rule refl :args (tptp.sk_c11)) % 15.82/16.12 (step @p129 :rule symm :premises (@p78)) % 15.82/16.12 (step @p257 :rule cong :premises (@p129 @p183) :args (@t161)) % 15.82/16.12 (step @p258 :rule cong :premises (@p78 @p188) :args (@t160)) % 15.82/16.12 (step @p176 :rule symm :premises (@p84)) % 15.82/16.12 (step @p259 :rule cong :premises (@p176 @p79) :args (@t157)) % 15.82/16.12 (step @p260 :rule symm :premises (@p96)) % 15.82/16.12 (step @p2273 :rule symm :premises (@p3602)) % 15.82/16.12 (step @p2274 :rule cong :premises (@p2273 @p183) :args (@t140)) % 15.82/16.12 (step @p2275 :rule symm :premises (@p3601)) % 15.82/16.12 (step @p125 :rule refl :args (@t15)) % 15.82/16.12 (step @p2276 :rule cong :premises (@p125 @p2275) :args (@t135)) % 15.82/16.12 (step @p127 :rule symm :premises (@p80)) % 15.82/16.12 (step @p128 :rule cong :premises (@p85 @p127) :args (@t138)) % 15.82/16.12 (step @p130 :rule cong :premises (@p129 @p80) :args (@t139)) % 15.82/16.12 (step @p131 :rule refl :args (tptp.sk_c12)) % 15.82/16.12 (step @p132 :rule cong :premises (@p78 @p131) :args (@t131)) % 15.82/16.12 (step @p2277 :rule trans :premises (@p80 @p132 @p130 @p128 @p95 @p2276 @p2274)) % 15.82/16.12 (step @p186 :rule refl :args (@t123)) % 15.82/16.12 (step @p2278 :rule cong :premises (@p186 @p2277) :args (@t151)) % 15.82/16.12 (step @p2279 :rule trans :premises (@p84 @p2278 @p260 @p259 @p258 @p257 @p188 @p3604)) % 15.82/16.12 (step @p270 :rule symm :premises (@p86)) % 15.82/16.12 (step @p624 :rule cong :premises (@p129 @p274) :args (@t177)) % 15.82/16.12 (step @p625 :rule cong :premises (@p78 @p270) :args (@t176)) % 15.82/16.12 (step @p2280 :rule symm :premises (@p2279)) % 15.82/16.12 (step @p2281 :rule cong :premises (@p2280 @p86) :args (@t174)) % 15.82/16.12 (step @p2282 :rule trans :premises (@p87 @p2281 @p625 @p624 @p270)) % 15.82/16.12 (step @p2283 :rule cong :premises (@p2282 @p2279) :args (@t129)) % 15.82/16.12 (step @p2284 :rule symm :premises (@p2278)) % 15.82/16.12 (step @p189 :rule cong :premises (@p84 @p188) :args (@t160)) % 15.82/16.12 (step @p190 :rule cong :premises (@p129 @p79) :args (@t161)) % 15.82/16.12 (step @p191 :rule cong :premises (@p78 @p183) :args (@t149)) % 15.82/16.12 (step @p2285 :rule trans :premises (@p79 @p191 @p190 @p189 @p96 @p2284 @p176 @p78 @p2283 @p2272 @p2270)) % 15.82/16.12 (step @p2286 :rule cong :premises (@p2285 @p2269) :args (@t236)) % 15.82/16.12 (step @p2287 :rule trans :premises (@p2286 @p2268)) % 15.82/16.12 (step @p2288 :rule trans :premises (@p84 @p2278 @p260 @p259 @p258 @p257 @p188 @p3601)) % 15.82/16.12 (step @p2289 :rule trans :premises (@p2288 @p2275)) % 15.82/16.12 (step @p2290 :rule cong :premises (@p2289 @p127) :args (@t138)) % 15.82/16.12 (step @p179 :rule symm :premises (@p85)) % 15.82/16.12 (step @p180 :rule cong :premises (@p179 @p80) :args (@t136)) % 15.82/16.12 (step @p181 :rule symm :premises (@p95)) % 15.82/16.12 (step @p2291 :rule symm :premises (@p3605)) % 15.82/16.12 (step @p2292 :rule trans :premises (@p2291 @p3602)) % 15.82/16.12 (step @p2293 :rule cong :premises (@p2292 @p3601) :args (@t348)) % 15.82/16.12 (step @p2294 :rule trans :premises (@p2293 @p181 @p180 @p2290)) % 15.82/16.12 (step @p2295 :rule symm :premises (@p3607)) % 15.82/16.12 (step @p2296 :rule symm :premises (@p3609)) % 15.82/16.12 (step @p2297 :rule cong :premises (@p2296 @p183) :args ((tptp.multiply @t36 tptp.sk_c11))) % 15.82/16.12 (step @p2298 :rule symm :premises (@p92)) % 15.82/16.12 (step @p2299 :rule refl :args (tptp.sk_c8)) % 15.82/16.12 (step @p2300 :rule cong :premises (@p3608 @p2299) :args (@t355)) % 15.82/16.12 (step @p2301 :rule trans :premises (@p2300 @p2298 @p84 @p2278 @p260 @p259 @p258 @p257 @p188)) % 15.82/16.12 (step @p2302 :rule refl :args (@t36)) % 15.82/16.12 (step @p2303 :rule cong :premises (@p2302 @p2301) :args (@t356)) % 15.82/16.12 (step @p2304 :rule symm :premises (@p91)) % 15.82/16.12 (step @p2305 :rule cong :premises (@p94 @p2304) :args ((tptp.multiply tptp.identity @t371))) % 15.82/16.12 (step @p2306 :rule cong :premises (@p129 @p91) :args ((tptp.multiply @t129 tptp.sk_c8))) % 15.82/16.12 (step @p2307 :rule cong :premises (@p78 @p2299) :args (@t371)) % 15.82/16.12 (step @p2308 :rule trans :premises (@p91 @p2307 @p2306 @p2305 @p2157 @p2303 @p2297 @p2295)) % 15.82/16.12 (step @p2309 :rule cong :premises (@p2308) :args (@t33)) % 15.82/16.12 (step @p2310 :rule trans :premises (@p3608 @p2309)) % 15.82/16.12 (step @p2311 :rule symm :premises (@p93)) % 15.82/16.12 (step @p2312 :rule refl :args (tptp.sk_c7)) % 15.82/16.12 (step @p2313 :rule cong :premises (@p129 @p2312) :args ((tptp.multiply @t129 tptp.sk_c7))) % 15.82/16.12 (step @p2314 :rule cong :premises (@p78 @p2311) :args ((tptp.multiply tptp.identity @t366))) % 15.82/16.12 (step @p2315 :rule symm :premises (@p3608)) % 15.82/16.12 (step @p2316 :rule trans :premises (@p2315 @p93)) % 15.82/16.12 (step @p2317 :rule symm :premises (@p90)) % 15.82/16.12 (step @p2318 :rule cong :premises (@p2317 @p2316) :args (@t352)) % 15.82/16.12 (step @p2319 :rule symm :premises (@p2158)) % 15.82/16.12 (step @p2320 :rule cong :premises (@p2296 @p3608) :args (@t357)) % 15.82/16.12 (step @p2321 :rule trans :premises (@p79 @p191 @p190 @p189 @p96 @p2284 @p176 @p94 @p2320)) % 15.82/16.12 (step @p2322 :rule symm :premises (@p3606)) % 15.82/16.12 (step @p2323 :rule cong :premises (@p2322) :args (@t387)) % 15.82/16.12 (step @p2324 :rule cong :premises (@p2323 @p2321) :args ((tptp.multiply @t387 tptp.sk_c11))) % 15.82/16.12 (step @p2325 :rule symm :premises (@p89)) % 15.82/16.12 (step @p2326 :rule refl :args (tptp.sk_c6)) % 15.82/16.12 (step @p2327 :rule cong :premises (@p3606 @p2326) :args (@t360)) % 15.82/16.12 (step @p2328 :rule trans :premises (@p2327 @p2325 @p84 @p2278 @p260 @p259 @p258 @p257 @p188)) % 15.82/16.12 (step @p2329 :rule symm :premises (@p2323)) % 15.82/16.12 (step @p2330 :rule cong :premises (@p2329 @p2328) :args (@t361)) % 15.82/16.12 (step @p2331 :rule symm :premises (@p88)) % 15.82/16.12 (step @p2332 :rule cong :premises (@p90 @p2331) :args ((tptp.multiply tptp.identity @t378))) % 15.82/16.12 (step @p2333 :rule cong :premises (@p129 @p88) :args ((tptp.multiply @t129 tptp.sk_c6))) % 15.82/16.12 (step @p2334 :rule cong :premises (@p78 @p2326) :args (@t378)) % 15.82/16.12 (step @p2335 :rule trans :premises (@p88 @p2334 @p2333 @p2332 @p2156 @p2330 @p2324 @p2319 @p2318 @p2314 @p2313 @p2311)) % 15.82/16.12 (step @p2336 :rule trans :premises (@p2335 @p2310)) % 15.82/16.12 (step @p2337 :rule cong :premises (@p2336 @p2295) :args (@t347)) % 15.82/16.12 (step @p2338 :rule trans :premises (@p2337 @p2278 @p260 @p259 @p258 @p257 @p188)) % 15.82/16.12 (step @p2339 :rule cong :premises (@p2338 @p2294) :args (@t386)) % 15.82/16.12 (step @p2340 :rule trans :premises (@p2339 @p2287)) % 15.82/16.12 (step @p2341 :rule eq_resolve :premises (@p2340 @p2267)) % 15.82/16.12 (step @p2342 :rule false_elim :premises (@p2341)) % 15.82/16.12 (step-pop @p3660 :rule scope :premises (@p2342)) % 15.82/16.12 (step-pop @p3661 :rule scope :premises (@p3660)) % 15.82/16.12 (step-pop @p3662 :rule scope :premises (@p3661)) % 15.82/16.12 (step-pop @p3663 :rule scope :premises (@p3662)) % 15.82/16.12 (step-pop @p3664 :rule scope :premises (@p3663)) % 15.82/16.12 (step-pop @p3665 :rule scope :premises (@p3664)) % 15.82/16.12 (step-pop @p3666 :rule scope :premises (@p3665)) % 15.82/16.12 (step-pop @p3667 :rule scope :premises (@p3666)) % 15.82/16.12 (step-pop @p3668 :rule scope :premises (@p3667)) % 15.82/16.12 (step-pop @p3669 :rule scope :premises (@p3668)) % 15.82/16.12 (step-pop @p3670 :rule scope :premises (@p3669)) % 15.82/16.12 (step-pop @p3671 :rule scope :premises (@p3670)) % 15.82/16.12 (step-pop @p3672 :rule scope :premises (@p3671)) % 15.82/16.12 (step-pop @p3673 :rule scope :premises (@p3672)) % 15.82/16.12 (step-pop @p3674 :rule scope :premises (@p3673)) % 15.82/16.12 (step-pop @p3675 :rule scope :premises (@p3674)) % 15.82/16.12 (step-pop @p3676 :rule scope :premises (@p3675)) % 15.82/16.12 (step-pop @p3677 :rule scope :premises (@p3676)) % 15.82/16.12 (step-pop @p3678 :rule scope :premises (@p3677)) % 15.82/16.12 (step-pop @p3679 :rule scope :premises (@p3678)) % 15.82/16.12 (step-pop @p3680 :rule scope :premises (@p3679)) % 15.82/16.12 (step-pop @p3681 :rule scope :premises (@p3680)) % 15.82/16.12 (step-pop @p3682 :rule scope :premises (@p3681)) % 15.82/16.12 (step-pop @p3683 :rule scope :premises (@p3682)) % 15.82/16.12 (step-pop @p3684 :rule scope :premises (@p3683)) % 15.82/16.12 (step-pop @p3685 :rule scope :premises (@p3684)) % 15.82/16.12 (step-pop @p3686 :rule scope :premises (@p3685)) % 15.82/16.12 (step-pop @p3687 :rule scope :premises (@p3686)) % 15.82/16.12 (step-pop @p3688 :rule scope :premises (@p3687)) % 15.82/16.12 (step @p2343 :rule process_scope :premises (@p3688) :args (@t350)) % 15.82/16.12 (step @p2373 :rule and_intro :premises (@p79 @p78 @p84 @p96 @p3602 @p3601 @p95 @p85 @p80 @p3607 @p3609 @p3608 @p92 @p2157 @p94 @p91 @p93 @p90 @p2158 @p3606 @p89 @p2156 @p88 @p3610 @p3603 @p3604 @p86 @p87 @p3605)) % 15.82/16.12 (step @p2374 :rule modus_ponens :premises (@p2373 @p2343)) % 15.82/16.12 (step @p2375 :rule and_intro :premises (@p2159 @p2374)) % 15.82/16.12 (step-pop @p3689 :rule scope :premises (@p2375)) % 15.82/16.12 (step-pop @p3690 :rule scope :premises (@p3689)) % 15.82/16.12 (step-pop @p3691 :rule scope :premises (@p3690)) % 15.82/16.12 (step-pop @p3692 :rule scope :premises (@p3691)) % 15.82/16.12 (step-pop @p3693 :rule scope :premises (@p3692)) % 15.82/16.12 (step-pop @p3694 :rule scope :premises (@p3693)) % 15.82/16.12 (step-pop @p3695 :rule scope :premises (@p3694)) % 15.82/16.12 (step-pop @p3696 :rule scope :premises (@p3695)) % 15.82/16.12 (step-pop @p3697 :rule scope :premises (@p3696)) % 15.82/16.12 (step-pop @p3698 :rule scope :premises (@p3697)) % 15.82/16.12 (step-pop @p3699 :rule scope :premises (@p3698)) % 15.82/16.12 (step-pop @p3700 :rule scope :premises (@p3699)) % 15.82/16.12 (step-pop @p3701 :rule scope :premises (@p3700)) % 15.82/16.12 (step-pop @p3702 :rule scope :premises (@p3701)) % 15.82/16.12 (step-pop @p3703 :rule scope :premises (@p3702)) % 15.82/16.12 (step-pop @p3704 :rule scope :premises (@p3703)) % 15.82/16.12 (step-pop @p3705 :rule scope :premises (@p3704)) % 15.82/16.12 (step-pop @p3706 :rule scope :premises (@p3705)) % 15.82/16.12 (step-pop @p3707 :rule scope :premises (@p3706)) % 15.82/16.12 (step-pop @p3708 :rule scope :premises (@p3707)) % 15.82/16.12 (step-pop @p3709 :rule scope :premises (@p3708)) % 15.82/16.12 (step-pop @p3710 :rule scope :premises (@p3709)) % 15.82/16.12 (step-pop @p3711 :rule scope :premises (@p3710)) % 15.82/16.12 (step-pop @p3712 :rule scope :premises (@p3711)) % 15.82/16.12 (step-pop @p3713 :rule scope :premises (@p3712)) % 15.82/16.12 (step-pop @p3714 :rule scope :premises (@p3713)) % 15.82/16.12 (step-pop @p3715 :rule scope :premises (@p3714)) % 15.82/16.12 (step-pop @p3716 :rule scope :premises (@p3715)) % 15.82/16.12 (step-pop @p3717 :rule scope :premises (@p3716)) % 15.82/16.12 (step-pop @p3718 :rule scope :premises (@p3717)) % 15.82/16.12 (step @p2376 :rule process_scope :premises (@p3718) :args (@t388)) % 15.82/16.12 (step @p2407 :rule implies_elim :premises (@p2376)) % 15.82/16.12 (step @p2408 :rule resolution :premises (@p2407 @p2199) :args (true @t388)) % 15.82/16.12 (step @p2409 :rule not_and :premises (@p2408)) % 15.82/16.12 (step @p2410 :rule eq_resolve :premises (@p2409 @p2190)) % 15.82/16.12 (step @p2411 :rule reordering :premises (@p2410) :args ((or @t180 @t147 @t171 @t186 @t170 @t385 @t384 @t383 @t382 @t381 @t146 @t169 @t145 @t168 @t144 @t185 @t184 @t380 @t377 @t375 @t373 @t370 @t368 @t365 @t143 @t166 @t363 @t359 @t354 @t350))) % 15.82/16.12 (step @p2412 false :rule chain_m_resolution :premises (@p2411 @p2159 @p2158 @p2157 @p2156 @p2155 @p2151 @p2147 @p2143 @p2139 @p2135 @p2132 @p2129 @p2126 @p2123 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p80 @p79 @p78) :args (false (@list false false false false false false false false false false false false false true false false false false false false false false false false false false false false false false) (@list @t349 @t353 @t358 @t362 @t345 @t344 @t343 @t342 @t341 @t128 @t127 @t126 @t125 @t180 @t158 @t137 @t364 @t367 @t369 @t372 @t374 @t376 @t379 @t175 @t173 @t134 @t152 @t132 @t150 @t130))) % 15.82/16.12 ) % 15.82/16.12 % SZS output end Proof % 15.82/16.12 % cvc5 exiting %------------------------------------------------------------------------------