%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP252-1 : 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 : n021.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 08:20:19 AM UTC 2026 % Result : Unsatisfiable 16.07s 16.32s % Output : Proof 16.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP252-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:01:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.24 --- Run --no-e-matching --full-saturate-quant at 6... % 16.07/16.32 % SZS status Unsatisfiable % 16.07/16.32 % SZS output start Proof % 16.07/16.34 ( % 16.07/16.34 (declare-sort $$unsorted 0) % 16.07/16.34 (declare-const tptp.sk_c6 $$unsorted) % 16.07/16.34 (declare-const tptp.sk_c3 $$unsorted) % 16.07/16.34 (declare-const tptp.sk_c7 $$unsorted) % 16.07/16.34 (declare-const tptp.sk_c8 $$unsorted) % 16.07/16.34 (declare-const tptp.sk_c1 $$unsorted) % 16.07/16.34 (declare-const tptp.sk_c4 $$unsorted) % 16.07/16.34 (declare-const tptp.sk_c2 $$unsorted) % 16.07/16.34 (declare-const tptp.sk_c10 $$unsorted) % 16.07/16.34 (declare-const tptp.sk_c9 $$unsorted) % 16.07/16.34 (declare-const tptp.sk_c5 $$unsorted) % 16.07/16.34 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.07/16.34 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.07/16.34 (declare-const tptp.identity $$unsorted) % 16.07/16.34 (define @t1 () (@var "X" $$unsorted)) % 16.07/16.34 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.07/16.34 (define @t3 () (@list @t1)) % 16.07/16.34 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.07/16.34 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.07/16.34 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.07/16.34 (define @t7 () (@var "Z" $$unsorted)) % 16.07/16.34 (define @t8 () (@var "Y" $$unsorted)) % 16.07/16.34 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.07/16.34 (define @t10 () (tptp.multiply tptp.sk_c4 tptp.sk_c10)) % 16.07/16.34 (define @t11 () (= @t10 tptp.sk_c9)) % 16.07/16.34 (define @t12 () (tptp.multiply tptp.sk_c1 tptp.sk_c10)) % 16.07/16.34 (define @t13 () (= @t12 tptp.sk_c9)) % 16.07/16.34 (define @t14 () (or @t13 @t11)) % 16.07/16.34 (define @t15 () (tptp.inverse tptp.sk_c4)) % 16.07/16.34 (define @t16 () (= @t15 tptp.sk_c10)) % 16.07/16.34 (define @t17 () (or @t13 @t16)) % 16.07/16.34 (define @t18 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 16.07/16.34 (define @t19 () (= @t18 tptp.sk_c9)) % 16.07/16.34 (define @t20 () (or @t13 @t19)) % 16.07/16.34 (define @t21 () (tptp.inverse tptp.sk_c5)) % 16.07/16.34 (define @t22 () (= @t21 tptp.sk_c8)) % 16.07/16.34 (define @t23 () (or @t13 @t22)) % 16.07/16.34 (define @t24 () (tptp.multiply tptp.sk_c8 tptp.sk_c7)) % 16.07/16.34 (define @t25 () (= @t24 tptp.sk_c9)) % 16.07/16.34 (define @t26 () (or @t13 @t25)) % 16.07/16.34 (define @t27 () (tptp.multiply tptp.sk_c6 tptp.sk_c8)) % 16.07/16.34 (define @t28 () (= @t27 tptp.sk_c7)) % 16.07/16.34 (define @t29 () (or @t13 @t28)) % 16.07/16.34 (define @t30 () (tptp.inverse tptp.sk_c6)) % 16.07/16.34 (define @t31 () (= @t30 tptp.sk_c8)) % 16.07/16.34 (define @t32 () (or @t13 @t31)) % 16.07/16.34 (define @t33 () (tptp.inverse tptp.sk_c1)) % 16.07/16.34 (define @t34 () (= @t33 tptp.sk_c10)) % 16.07/16.34 (define @t35 () (or @t34 @t11)) % 16.07/16.34 (define @t36 () (or @t34 @t16)) % 16.07/16.34 (define @t37 () (or @t34 @t19)) % 16.07/16.34 (define @t38 () (or @t34 @t22)) % 16.07/16.34 (define @t39 () (or @t34 @t25)) % 16.07/16.34 (define @t40 () (or @t34 @t28)) % 16.07/16.34 (define @t41 () (or @t34 @t31)) % 16.07/16.34 (define @t42 () (tptp.multiply tptp.sk_c2 tptp.sk_c9)) % 16.07/16.34 (define @t43 () (= @t42 tptp.sk_c8)) % 16.07/16.34 (define @t44 () (or @t43 @t19)) % 16.07/16.34 (define @t45 () (or @t43 @t22)) % 16.07/16.34 (define @t46 () (or @t43 @t25)) % 16.07/16.34 (define @t47 () (or @t43 @t28)) % 16.07/16.34 (define @t48 () (or @t43 @t31)) % 16.07/16.34 (define @t49 () (tptp.inverse tptp.sk_c2)) % 16.07/16.34 (define @t50 () (= @t49 tptp.sk_c9)) % 16.07/16.34 (define @t51 () (or @t50 @t19)) % 16.07/16.34 (define @t52 () (or @t50 @t22)) % 16.07/16.34 (define @t53 () (or @t50 @t25)) % 16.07/16.34 (define @t54 () (or @t50 @t28)) % 16.07/16.34 (define @t55 () (or @t50 @t31)) % 16.07/16.34 (define @t56 () (tptp.inverse tptp.sk_c3)) % 16.07/16.34 (define @t57 () (= @t56 tptp.sk_c9)) % 16.07/16.34 (define @t58 () (or @t57 @t19)) % 16.07/16.34 (define @t59 () (or @t57 @t22)) % 16.07/16.34 (define @t60 () (tptp.multiply tptp.sk_c3 tptp.sk_c8)) % 16.07/16.34 (define @t61 () (= @t60 tptp.sk_c9)) % 16.07/16.34 (define @t62 () (@var "X7" $$unsorted)) % 16.07/16.34 (define @t63 () (tptp.inverse @t62)) % 16.07/16.34 (define @t64 () (not (= @t63 tptp.sk_c8))) % 16.07/16.34 (define @t65 () (@var "X3" $$unsorted)) % 16.07/16.34 (define @t66 () (tptp.multiply @t62 tptp.sk_c8)) % 16.07/16.34 (define @t67 () (not (= @t66 @t65))) % 16.07/16.34 (define @t68 () (tptp.multiply tptp.sk_c8 @t65)) % 16.07/16.34 (define @t69 () (not (= @t68 tptp.sk_c9))) % 16.07/16.34 (define @t70 () (@var "X2" $$unsorted)) % 16.07/16.34 (define @t71 () (tptp.inverse @t70)) % 16.07/16.34 (define @t72 () (not (= @t71 tptp.sk_c8))) % 16.07/16.34 (define @t73 () (tptp.multiply @t70 tptp.sk_c8)) % 16.07/16.34 (define @t74 () (not (= @t73 tptp.sk_c9))) % 16.07/16.34 (define @t75 () (@var "X1" $$unsorted)) % 16.07/16.34 (define @t76 () (tptp.inverse @t75)) % 16.07/16.34 (define @t77 () (not (= @t76 tptp.sk_c10))) % 16.07/16.34 (define @t78 () (tptp.multiply @t75 tptp.sk_c10)) % 16.07/16.34 (define @t79 () (not (= @t78 tptp.sk_c9))) % 16.07/16.34 (define @t80 () (@var "X6" $$unsorted)) % 16.07/16.34 (define @t81 () (tptp.multiply @t80 tptp.sk_c8)) % 16.07/16.34 (define @t82 () (not (= @t81 tptp.sk_c9))) % 16.07/16.34 (define @t83 () (tptp.inverse @t80)) % 16.07/16.34 (define @t84 () (not (= @t83 tptp.sk_c9))) % 16.07/16.34 (define @t85 () (@var "X5" $$unsorted)) % 16.07/16.34 (define @t86 () (tptp.inverse @t85)) % 16.07/16.34 (define @t87 () (not (= @t86 tptp.sk_c9))) % 16.07/16.34 (define @t88 () (tptp.multiply @t85 tptp.sk_c9)) % 16.07/16.34 (define @t89 () (not (= @t88 tptp.sk_c8))) % 16.07/16.34 (define @t90 () (@var "X4" $$unsorted)) % 16.07/16.34 (define @t91 () (tptp.inverse @t90)) % 16.07/16.34 (define @t92 () (not (= @t91 tptp.sk_c10))) % 16.07/16.34 (define @t93 () (tptp.multiply @t90 tptp.sk_c10)) % 16.07/16.34 (define @t94 () (not (= @t93 tptp.sk_c9))) % 16.07/16.34 (define @t95 () (or @t94 @t92 @t89 @t87 @t84 @t82 @t79 @t77 @t74 @t72 @t69 @t67 @t64)) % 16.07/16.34 (define @t96 () (@list @t90 @t85 @t80 @t75 @t70 @t65 @t62)) % 16.07/16.34 (define @t97 () (forall @t96 @t95)) % 16.07/16.34 (define @t98 () (= tptp.sk_c10 @t33)) % 16.07/16.34 (define @t99 () (= tptp.sk_c9 @t10)) % 16.07/16.34 (define @t100 () (= tptp.sk_c10 @t15)) % 16.07/16.34 (define @t101 () (= tptp.sk_c9 @t18)) % 16.07/16.34 (define @t102 () (= tptp.sk_c8 @t21)) % 16.07/16.34 (define @t103 () (= tptp.sk_c9 @t24)) % 16.07/16.34 (define @t104 () (= tptp.sk_c7 @t27)) % 16.07/16.34 (define @t105 () (= tptp.sk_c8 @t30)) % 16.07/16.34 (define @t106 () (not @t102)) % 16.07/16.34 (define @t107 () (not @t101)) % 16.07/16.34 (define @t108 () (or @t107 @t106)) % 16.07/16.34 (define @t109 () (not @t108)) % 16.07/16.34 (define @t110 () (@list tptp.sk_c8)) % 16.07/16.34 (define @t111 () (@list tptp.sk_c6)) % 16.07/16.34 (define @t112 () (tptp.multiply tptp.identity tptp.sk_c8)) % 16.07/16.34 (define @t113 () (= tptp.sk_c8 @t112)) % 16.07/16.34 (define @t114 () (tptp.multiply @t30 tptp.sk_c6)) % 16.07/16.34 (define @t115 () (= tptp.identity @t114)) % 16.07/16.34 (define @t116 () (tptp.multiply @t30 @t27)) % 16.07/16.34 (define @t117 () (tptp.multiply @t114 tptp.sk_c8)) % 16.07/16.34 (define @t118 () (= @t117 @t116)) % 16.07/16.34 (define @t119 () (= tptp.sk_c9 @t21)) % 16.07/16.34 (define @t120 () (and @t102 @t103 @t104 @t105 @t113 @t115 @t118)) % 16.07/16.34 (define @t121 () (not @t118)) % 16.07/16.34 (define @t122 () (not @t115)) % 16.07/16.34 (define @t123 () (not @t113)) % 16.07/16.34 (define @t124 () (not @t105)) % 16.07/16.34 (define @t125 () (not @t104)) % 16.07/16.34 (define @t126 () (not @t103)) % 16.07/16.34 (define @t127 () (not (= tptp.sk_c8 @t71))) % 16.07/16.34 (define @t128 () (not (= tptp.sk_c9 @t73))) % 16.07/16.34 (define @t129 () (or @t128 @t127)) % 16.07/16.34 (define @t130 () (forall (@list @t70) @t129)) % 16.07/16.34 (define @t131 () (@list tptp.sk_c5)) % 16.07/16.34 (define @t132 () (not @t119)) % 16.07/16.34 (define @t133 () (or @t132 @t107)) % 16.07/16.34 (define @t134 () (not @t133)) % 16.07/16.34 (define @t135 () (not (= tptp.sk_c9 @t81))) % 16.07/16.34 (define @t136 () (not (= tptp.sk_c9 @t83))) % 16.07/16.34 (define @t137 () (or @t136 @t135)) % 16.07/16.34 (define @t138 () (forall (@list @t80) @t137)) % 16.07/16.34 (define @t139 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c5 tptp.sk_c9))) % 16.07/16.34 (define @t140 () (and @t101 @t103 @t104 @t105 @t113 @t115 @t118)) % 16.07/16.34 (define @t141 () (not @t139)) % 16.07/16.34 (define @t142 () (or @t141 @t132)) % 16.07/16.34 (define @t143 () (not @t142)) % 16.07/16.34 (define @t144 () (not (= tptp.sk_c9 @t86))) % 16.07/16.34 (define @t145 () (not (= tptp.sk_c8 @t88))) % 16.07/16.34 (define @t146 () (or @t145 @t144)) % 16.07/16.34 (define @t147 () (forall (@list @t85) @t146)) % 16.07/16.34 (define @t148 () (not @t100)) % 16.07/16.34 (define @t149 () (not @t99)) % 16.07/16.34 (define @t150 () (or @t149 @t148)) % 16.07/16.34 (define @t151 () (not @t150)) % 16.07/16.34 (define @t152 () (not (= tptp.sk_c10 @t91))) % 16.07/16.34 (define @t153 () (not (= tptp.sk_c9 @t93))) % 16.07/16.34 (define @t154 () (or @t153 @t152)) % 16.07/16.34 (define @t155 () (forall (@list @t90) @t154)) % 16.07/16.34 (define @t156 () (not (= tptp.sk_c8 @t63))) % 16.07/16.34 (define @t157 () (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 @t66)))) % 16.07/16.34 (define @t158 () (or @t157 @t156)) % 16.07/16.34 (define @t159 () (not (= @t66 @t66))) % 16.07/16.34 (define @t160 () (or @t157 @t159 @t156)) % 16.07/16.34 (define @t161 () (@list @t62)) % 16.07/16.34 (define @t162 () (not (= @t65 @t66))) % 16.07/16.34 (define @t163 () (not (= tptp.sk_c9 @t68))) % 16.07/16.34 (define @t164 () (or @t162 @t163 @t162 @t156)) % 16.07/16.34 (define @t165 () (@list @t65)) % 16.07/16.34 (define @t166 () (or @t163 @t162 @t156)) % 16.07/16.34 (define @t167 () (forall @t165 @t166)) % 16.07/16.34 (define @t168 () (forall @t161 @t167)) % 16.07/16.34 (define @t169 () (forall (@list @t62 @t65) @t166)) % 16.07/16.34 (define @t170 () (forall (@list @t65 @t62) @t166)) % 16.07/16.34 (define @t171 () (not (= tptp.sk_c10 @t76))) % 16.07/16.34 (define @t172 () (not (= tptp.sk_c9 @t78))) % 16.07/16.34 (define @t173 () (or @t172 @t171)) % 16.07/16.34 (define @t174 () (forall (@list @t75) @t173)) % 16.07/16.34 (define @t175 () (or @t155 @t147 @t138 @t174 @t130 @t170)) % 16.07/16.34 (define @t176 () (or @t154 @t146 @t137 @t173 @t129 @t166)) % 16.07/16.34 (define @t177 () (or @t153 @t152 @t145 @t144 @t136 @t135 @t172 @t171 @t128 @t127 @t163 @t162 @t156)) % 16.07/16.34 (define @t178 () (forall @t161 @t158)) % 16.07/16.34 (define @t179 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 @t27))) % 16.07/16.34 (define @t180 () (not @t179)) % 16.07/16.34 (define @t181 () (or @t180 @t124)) % 16.07/16.34 (define @t182 () (not @t181)) % 16.07/16.34 (define @t183 () (= true false)) % 16.07/16.34 (define @t184 () (and @t179 @t180)) % 16.07/16.34 (define @t185 () (not @t98)) % 16.07/16.34 (define @t186 () (= tptp.sk_c9 @t12)) % 16.07/16.34 (define @t187 () (not @t186)) % 16.07/16.34 (define @t188 () (or @t187 @t185)) % 16.07/16.34 (define @t189 () (@list tptp.sk_c1)) % 16.07/16.34 (define @t190 () (= tptp.sk_c9 @t49)) % 16.07/16.34 (define @t191 () (@list tptp.sk_c10)) % 16.07/16.34 (define @t192 () (tptp.inverse tptp.sk_c10)) % 16.07/16.34 (define @t193 () (tptp.multiply tptp.sk_c10 tptp.sk_c1)) % 16.07/16.34 (define @t194 () (tptp.multiply @t192 @t193)) % 16.07/16.34 (define @t195 () (tptp.multiply @t194 tptp.sk_c10)) % 16.07/16.34 (define @t196 () (= @t195 (tptp.multiply @t192 (tptp.multiply @t193 tptp.sk_c10)))) % 16.07/16.34 (define @t197 () (not @t196)) % 16.07/16.34 (define @t198 () (tptp.multiply @t192 tptp.sk_c10)) % 16.07/16.34 (define @t199 () (tptp.multiply @t198 tptp.sk_c1)) % 16.07/16.34 (define @t200 () (= @t199 @t194)) % 16.07/16.34 (define @t201 () (not @t200)) % 16.07/16.34 (define @t202 () (tptp.multiply @t21 tptp.sk_c5)) % 16.07/16.34 (define @t203 () (= tptp.identity @t202)) % 16.07/16.34 (define @t204 () (not @t203)) % 16.07/16.34 (define @t205 () (tptp.multiply tptp.identity tptp.sk_c5)) % 16.07/16.34 (define @t206 () (= tptp.sk_c5 @t205)) % 16.07/16.34 (define @t207 () (not @t206)) % 16.07/16.34 (define @t208 () (= tptp.identity @t198)) % 16.07/16.34 (define @t209 () (not @t208)) % 16.07/16.34 (define @t210 () (tptp.multiply tptp.identity tptp.sk_c10)) % 16.07/16.34 (define @t211 () (= tptp.sk_c10 @t210)) % 16.07/16.34 (define @t212 () (not @t211)) % 16.07/16.34 (define @t213 () (tptp.multiply @t33 tptp.sk_c1)) % 16.07/16.34 (define @t214 () (= tptp.identity @t213)) % 16.07/16.34 (define @t215 () (not @t214)) % 16.07/16.34 (define @t216 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.07/16.34 (define @t217 () (= tptp.sk_c1 @t216)) % 16.07/16.34 (define @t218 () (not @t217)) % 16.07/16.34 (define @t219 () (tptp.multiply tptp.identity tptp.identity)) % 16.07/16.34 (define @t220 () (= tptp.identity @t219)) % 16.07/16.34 (define @t221 () (not @t220)) % 16.07/16.34 (define @t222 () (tptp.multiply @t219 tptp.sk_c1)) % 16.07/16.34 (define @t223 () (tptp.multiply tptp.identity @t216)) % 16.07/16.34 (define @t224 () (tptp.multiply tptp.identity @t210)) % 16.07/16.34 (define @t225 () (tptp.multiply @t219 tptp.sk_c10)) % 16.07/16.34 (define @t226 () (and @t139 @t141)) % 16.07/16.34 (define @t227 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 @t18))) % 16.07/16.34 (define @t228 () (and @t186 @t101 @t103 @t104 @t105 @t98 @t220 @t113 @t217 @t214 @t211 @t208 @t115 @t200 @t118 @t196)) % 16.07/16.34 (define @t229 () (not @t227)) % 16.07/16.34 (define @t230 () (or @t229 @t106)) % 16.07/16.34 (define @t231 () (not @t190)) % 16.07/16.34 (define @t232 () (= tptp.sk_c8 @t42)) % 16.07/16.34 (define @t233 () (not @t232)) % 16.07/16.34 (define @t234 () (or @t233 @t231)) % 16.07/16.34 (define @t235 () (@list tptp.sk_c2)) % 16.07/16.34 (define @t236 () (@list tptp.sk_c9)) % 16.07/16.34 (define @t237 () (tptp.inverse tptp.sk_c9)) % 16.07/16.34 (define @t238 () (tptp.multiply tptp.identity tptp.sk_c9)) % 16.07/16.34 (define @t239 () (= tptp.sk_c9 @t238)) % 16.07/16.34 (define @t240 () (tptp.multiply @t237 tptp.sk_c9)) % 16.07/16.34 (define @t241 () (= tptp.identity @t240)) % 16.07/16.34 (define @t242 () (tptp.multiply @t49 tptp.sk_c2)) % 16.07/16.34 (define @t243 () (= tptp.identity @t242)) % 16.07/16.34 (define @t244 () (tptp.multiply @t49 @t42)) % 16.07/16.34 (define @t245 () (tptp.multiply @t242 tptp.sk_c9)) % 16.07/16.34 (define @t246 () (= @t245 @t244)) % 16.07/16.34 (define @t247 () (tptp.multiply tptp.sk_c9 tptp.sk_c8)) % 16.07/16.34 (define @t248 () (tptp.multiply @t237 @t247)) % 16.07/16.34 (define @t249 () (tptp.multiply @t240 tptp.sk_c8)) % 16.07/16.34 (define @t250 () (= @t249 @t248)) % 16.07/16.34 (define @t251 () (tptp.multiply @t42 tptp.sk_c8)) % 16.07/16.34 (define @t252 () (= @t251 (tptp.multiply tptp.sk_c2 @t247))) % 16.07/16.34 (define @t253 () (tptp.multiply tptp.sk_c8 tptp.sk_c10)) % 16.07/16.34 (define @t254 () (tptp.multiply @t192 @t253)) % 16.07/16.34 (define @t255 () (tptp.multiply @t192 tptp.sk_c8)) % 16.07/16.34 (define @t256 () (tptp.multiply @t255 tptp.sk_c10)) % 16.07/16.34 (define @t257 () (= @t256 @t254)) % 16.07/16.34 (define @t258 () (tptp.multiply tptp.identity @t238)) % 16.07/16.34 (define @t259 () (tptp.multiply @t219 tptp.sk_c9)) % 16.07/16.34 (define @t260 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c8))) % 16.07/16.34 (define @t261 () (and @t186 @t98 @t232 @t190 @t220 @t113 @t217 @t214 @t211 @t208 @t239 @t241 @t243 @t246 @t250 @t252 @t200 @t257)) % 16.07/16.34 (define @t262 () (not @t257)) % 16.07/16.34 (define @t263 () (not @t250)) % 16.07/16.34 (define @t264 () (not @t246)) % 16.07/16.34 (define @t265 () (not @t243)) % 16.07/16.34 (define @t266 () (not @t241)) % 16.07/16.34 (define @t267 () (not @t239)) % 16.07/16.34 (define @t268 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.07/16.34 (define @t269 () (= tptp.sk_c2 @t268)) % 16.07/16.34 (define @t270 () (= tptp.sk_c8 (tptp.inverse tptp.sk_c8))) % 16.07/16.34 (define @t271 () (and @t186 @t98 @t232 @t190 @t220 @t113 @t217 @t214 @t211 @t208 @t239 @t241 @t269 @t243 @t246 @t250 @t200 @t257)) % 16.07/16.34 (define @t272 () (not @t270)) % 16.07/16.34 (define @t273 () (not @t260)) % 16.07/16.34 (define @t274 () (or @t273 @t272)) % 16.07/16.34 (define @t275 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) % 16.07/16.34 (define @t276 () (= tptp.sk_c8 @t49)) % 16.07/16.34 (define @t277 () (and @t186 @t98 @t232 @t190 @t220 @t113 @t217 @t214 @t211 @t208 @t239 @t241 @t243 @t246 @t250 @t200 @t257)) % 16.07/16.34 (define @t278 () (not @t276)) % 16.07/16.34 (define @t279 () (not @t275)) % 16.07/16.34 (define @t280 () (or @t279 @t278)) % 16.07/16.34 (define @t281 () (not @t178)) % 16.07/16.34 (define @t282 () (forall @t3 (= tptp.identity @t5))) % 16.07/16.34 (define @t283 () (forall @t3 (= @t1 @t2))) % 16.07/16.34 (define @t284 () (@list tptp.sk_c3)) % 16.07/16.34 (define @t285 () (= tptp.sk_c9 @t60)) % 16.07/16.34 (define @t286 () (not @t285)) % 16.07/16.34 (define @t287 () (= tptp.sk_c9 @t56)) % 16.07/16.34 (define @t288 () (not @t287)) % 16.07/16.34 (define @t289 () (or @t288 @t286)) % 16.07/16.34 (define @t290 () (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) % 16.07/16.34 (define @t291 () (tptp.multiply @t56 tptp.sk_c3)) % 16.07/16.34 (define @t292 () (= tptp.identity @t291)) % 16.07/16.34 (define @t293 () (and @t186 @t98 @t232 @t190 @t287 @t220 @t113 @t217 @t214 @t211 @t208 @t239 @t241 @t290 @t243 @t246 @t250 @t292 @t200 @t257)) % 16.07/16.34 (define @t294 () (and @t186 @t102 @t98 @t232 @t190 @t220 @t113 @t217 @t214 @t211 @t208 @t239 @t241 @t243 @t246 @t250 @t200 @t257)) % 16.07/16.34 (define @t295 () (@list true)) % 16.07/16.34 (define @t296 () (@list @t186)) % 16.07/16.34 (define @t297 () (@list false false)) % 16.07/16.34 (define @t298 () (@list false false false false false false false)) % 16.07/16.34 (assume @p1 @t4) % 16.07/16.34 (assume @p2 @t6) % 16.07/16.34 (assume @p3 @t9) % 16.07/16.34 (assume @p4 @t14) % 16.07/16.34 (assume @p5 @t17) % 16.07/16.34 (assume @p6 @t20) % 16.07/16.34 (assume @p7 @t23) % 16.07/16.34 (assume @p8 @t26) % 16.07/16.34 (assume @p9 @t29) % 16.07/16.34 (assume @p10 @t32) % 16.07/16.34 (assume @p11 @t35) % 16.07/16.34 (assume @p12 @t36) % 16.07/16.34 (assume @p13 @t37) % 16.07/16.34 (assume @p14 @t38) % 16.07/16.34 (assume @p15 @t39) % 16.07/16.34 (assume @p16 @t40) % 16.07/16.34 (assume @p17 @t41) % 16.07/16.34 (assume @p18 (or @t43 @t11)) % 16.07/16.34 (assume @p19 (or @t43 @t16)) % 16.07/16.34 (assume @p20 @t44) % 16.07/16.34 (assume @p21 @t45) % 16.07/16.34 (assume @p22 @t46) % 16.07/16.34 (assume @p23 @t47) % 16.07/16.34 (assume @p24 @t48) % 16.07/16.34 (assume @p25 (or @t50 @t11)) % 16.07/16.34 (assume @p26 (or @t50 @t16)) % 16.07/16.34 (assume @p27 @t51) % 16.07/16.34 (assume @p28 @t52) % 16.07/16.34 (assume @p29 @t53) % 16.07/16.34 (assume @p30 @t54) % 16.07/16.34 (assume @p31 @t55) % 16.07/16.34 (assume @p32 (or @t57 @t11)) % 16.07/16.34 (assume @p33 (or @t57 @t16)) % 16.07/16.34 (assume @p34 @t58) % 16.07/16.34 (assume @p35 @t59) % 16.07/16.34 (assume @p36 (or @t57 @t25)) % 16.07/16.34 (assume @p37 (or @t57 @t28)) % 16.07/16.34 (assume @p38 (or @t57 @t31)) % 16.07/16.34 (assume @p39 (or @t61 @t11)) % 16.07/16.34 (assume @p40 (or @t61 @t16)) % 16.07/16.34 (assume @p41 (or @t61 @t19)) % 16.07/16.34 (assume @p42 (or @t61 @t22)) % 16.07/16.34 (assume @p43 (or @t61 @t25)) % 16.07/16.34 (assume @p44 (or @t61 @t28)) % 16.07/16.34 (assume @p45 (or @t61 @t31)) % 16.07/16.34 (assume @p46 @t97) % 16.07/16.34 (step @p47 :rule eq-symm :args (@t10 tptp.sk_c9)) % 16.07/16.34 (step @p48 :rule eq-symm :args (@t33 tptp.sk_c10)) % 16.07/16.34 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t35)) % 16.07/16.34 (step @p50 :rule eq_resolve :premises (@p11 @p49)) % 16.07/16.34 (step @p51 :rule reordering :premises (@p50) :args ((or @t99 @t98))) % 16.07/16.34 (step @p52 :rule eq-symm :args (@t15 tptp.sk_c10)) % 16.07/16.34 (step @p53 :rule nary_cong :premises (@p48 @p52) :args (@t36)) % 16.07/16.34 (step @p54 :rule eq_resolve :premises (@p12 @p53)) % 16.07/16.34 (step @p55 :rule reordering :premises (@p54) :args ((or @t100 @t98))) % 16.07/16.34 (step @p56 :rule eq-symm :args (@t18 tptp.sk_c9)) % 16.07/16.34 (step @p57 :rule nary_cong :premises (@p48 @p56) :args (@t37)) % 16.07/16.34 (step @p58 :rule eq_resolve :premises (@p13 @p57)) % 16.07/16.34 (step @p59 :rule reordering :premises (@p58) :args ((or @t101 @t98))) % 16.07/16.34 (step @p60 :rule eq-symm :args (@t21 tptp.sk_c8)) % 16.07/16.34 (step @p61 :rule nary_cong :premises (@p48 @p60) :args (@t38)) % 16.07/16.34 (step @p62 :rule eq_resolve :premises (@p14 @p61)) % 16.07/16.34 (step @p63 :rule reordering :premises (@p62) :args ((or @t102 @t98))) % 16.07/16.34 (step @p64 :rule eq-symm :args (@t24 tptp.sk_c9)) % 16.07/16.34 (step @p65 :rule nary_cong :premises (@p48 @p64) :args (@t39)) % 16.07/16.34 (step @p66 :rule eq_resolve :premises (@p15 @p65)) % 16.07/16.34 (step @p67 :rule reordering :premises (@p66) :args ((or @t103 @t98))) % 16.07/16.34 (step @p68 :rule eq-symm :args (@t27 tptp.sk_c7)) % 16.07/16.34 (step @p69 :rule nary_cong :premises (@p48 @p68) :args (@t40)) % 16.07/16.34 (step @p70 :rule eq_resolve :premises (@p16 @p69)) % 16.07/16.34 (step @p71 :rule reordering :premises (@p70) :args ((or @t104 @t98))) % 16.07/16.34 (step @p72 :rule eq-symm :args (@t30 tptp.sk_c8)) % 16.07/16.34 (step @p73 :rule nary_cong :premises (@p48 @p72) :args (@t41)) % 16.07/16.34 (step @p74 :rule eq_resolve :premises (@p17 @p73)) % 16.07/16.34 (step @p75 :rule reordering :premises (@p74) :args ((or @t105 @t98))) % 16.07/16.34 (step @p76 :rule cnf_or_pos :args (@t108)) % 16.07/16.34 (step @p77 :rule reordering :premises (@p76) :args ((or @t107 @t106 @t109))) % 16.07/16.34 (step @p78 :rule eq-symm :args (@t2 @t1)) % 16.07/16.34 (step @p79 :rule cong :premises (@p78) :args (@t4)) % 16.07/16.34 (step @p80 :rule eq_resolve :premises (@p1 @p79)) % 16.07/16.34 (step @p81 :rule instantiate :premises (@p80) :args (@t110)) % 16.07/16.34 (step @p82 :rule eq-symm :args (@t5 tptp.identity)) % 16.07/16.34 (step @p83 :rule cong :premises (@p82) :args (@t6)) % 16.07/16.34 (step @p84 :rule eq_resolve :premises (@p2 @p83)) % 16.07/16.34 (step @p85 :rule instantiate :premises (@p84) :args (@t111)) % 16.07/16.34 (step @p86 :rule instantiate :premises (@p3) :args ((@list @t30 tptp.sk_c6 tptp.sk_c8))) % 16.07/16.34 (assume-push @p1368 @t102) % 16.07/16.34 (assume-push @p1369 @t103) % 16.07/16.34 (assume-push @p1370 @t104) % 16.07/16.34 (assume-push @p1371 @t105) % 16.07/16.34 (assume-push @p1372 @t113) % 16.07/16.34 (assume-push @p1373 @t115) % 16.07/16.34 (assume-push @p1374 @t118) % 16.07/16.34 (assume-push @p1375 @t102) % 16.07/16.34 (assume-push @p1376 @t113) % 16.07/16.34 (assume-push @p1377 @t115) % 16.07/16.34 (assume-push @p1378 @t118) % 16.07/16.34 (assume-push @p1379 @t105) % 16.07/16.34 (assume-push @p1380 @t104) % 16.07/16.34 (assume-push @p1381 @t103) % 16.07/16.34 (step @p101 :rule symm :premises (@p81)) % 16.07/16.34 (step @p102 :rule refl :args (tptp.sk_c8)) % 16.07/16.34 (step @p103 :rule symm :premises (@p85)) % 16.07/16.34 (step @p104 :rule cong :premises (@p103 @p102) :args (@t117)) % 16.07/16.34 (step @p105 :rule symm :premises (@p86)) % 16.07/16.34 (step @p106 :rule cong :premises (@p1371 @p1370) :args (@t24)) % 16.07/16.34 (step @p107 :rule trans :premises (@p1369 @p106 @p105 @p104 @p101 @p1368)) % 16.07/16.34 (step-pop @p1382 :rule scope :premises (@p107)) % 16.07/16.34 (step-pop @p1383 :rule scope :premises (@p1382)) % 16.07/16.34 (step-pop @p1384 :rule scope :premises (@p1383)) % 16.07/16.34 (step-pop @p1385 :rule scope :premises (@p1384)) % 16.07/16.34 (step-pop @p1386 :rule scope :premises (@p1385)) % 16.07/16.34 (step-pop @p1387 :rule scope :premises (@p1386)) % 16.07/16.34 (step-pop @p1388 :rule scope :premises (@p1387)) % 16.07/16.34 (step @p108 :rule process_scope :premises (@p1388) :args (@t119)) % 16.07/16.34 (step @p116 :rule and_intro :premises (@p1368 @p81 @p85 @p86 @p1371 @p1370 @p1369)) % 16.07/16.34 (step @p117 :rule modus_ponens :premises (@p116 @p108)) % 16.07/16.34 (step-pop @p1389 :rule scope :premises (@p117)) % 16.07/16.34 (step-pop @p1390 :rule scope :premises (@p1389)) % 16.07/16.34 (step-pop @p1391 :rule scope :premises (@p1390)) % 16.07/16.34 (step-pop @p1392 :rule scope :premises (@p1391)) % 16.07/16.34 (step-pop @p1393 :rule scope :premises (@p1392)) % 16.07/16.34 (step-pop @p1394 :rule scope :premises (@p1393)) % 16.07/16.34 (step-pop @p1395 :rule scope :premises (@p1394)) % 16.07/16.34 (step @p118 :rule process_scope :premises (@p1395) :args (@t119)) % 16.07/16.34 (step @p126 :rule implies_elim :premises (@p118)) % 16.07/16.34 (step @p127 :rule cnf_and_neg :args (@t120)) % 16.07/16.34 (step @p128 :rule resolution :premises (@p127 @p126) :args (true @t120)) % 16.07/16.34 (step @p129 :rule reordering :premises (@p128) :args ((or @t106 @t126 @t125 @t124 @t123 @t122 @t119 @t121))) % 16.07/16.34 (assume-push @p1396 @t130) % 16.07/16.34 (step @p131 :rule instantiate :premises (@p1396) :args (@t131)) % 16.07/16.34 (step-pop @p1397 :rule scope :premises (@p131)) % 16.07/16.34 (step @p132 :rule process_scope :premises (@p1397) :args (@t108)) % 16.07/16.34 (step @p134 :rule implies_elim :premises (@p132)) % 16.07/16.34 (step @p135 :rule cnf_or_pos :args (@t133)) % 16.07/16.34 (step @p136 :rule reordering :premises (@p135) :args ((or @t107 @t132 @t134))) % 16.07/16.34 (assume-push @p1398 @t138) % 16.07/16.34 (step @p138 :rule instantiate :premises (@p1398) :args (@t131)) % 16.07/16.34 (step-pop @p1399 :rule scope :premises (@p138)) % 16.07/16.34 (step @p139 :rule process_scope :premises (@p1399) :args (@t133)) % 16.07/16.34 (step @p141 :rule implies_elim :premises (@p139)) % 16.07/16.34 (assume-push @p1400 @t101) % 16.07/16.34 (assume-push @p1401 @t103) % 16.07/16.34 (assume-push @p1402 @t104) % 16.07/16.34 (assume-push @p1403 @t105) % 16.07/16.34 (assume-push @p1404 @t113) % 16.07/16.34 (assume-push @p1405 @t115) % 16.07/16.34 (assume-push @p1406 @t118) % 16.07/16.34 (assume-push @p1407 @t103) % 16.07/16.34 (assume-push @p1408 @t105) % 16.07/16.34 (assume-push @p1409 @t104) % 16.07/16.34 (assume-push @p1410 @t118) % 16.07/16.34 (assume-push @p1411 @t115) % 16.07/16.34 (assume-push @p1412 @t113) % 16.07/16.34 (assume-push @p1413 @t101) % 16.07/16.34 (step @p156 :rule symm :premises (@p1401)) % 16.07/16.34 (step @p157 :rule symm :premises (@p1402)) % 16.07/16.34 (step @p158 :rule symm :premises (@p1403)) % 16.07/16.34 (step @p159 :rule cong :premises (@p158 @p157) :args (@t116)) % 16.07/16.34 (step @p102 :rule refl :args (tptp.sk_c8)) % 16.07/16.34 (step @p160 :rule cong :premises (@p85 @p102) :args (@t112)) % 16.07/16.34 (step @p161 :rule trans :premises (@p81 @p160 @p86 @p159 @p156)) % 16.07/16.34 (step @p162 :rule refl :args (tptp.sk_c5)) % 16.07/16.34 (step @p163 :rule cong :premises (@p162 @p161) :args (@t18)) % 16.07/16.34 (step @p164 :rule trans :premises (@p81 @p160 @p86 @p159 @p156 @p1400 @p163)) % 16.07/16.34 (step-pop @p1414 :rule scope :premises (@p164)) % 16.07/16.34 (step-pop @p1415 :rule scope :premises (@p1414)) % 16.07/16.34 (step-pop @p1416 :rule scope :premises (@p1415)) % 16.07/16.34 (step-pop @p1417 :rule scope :premises (@p1416)) % 16.07/16.34 (step-pop @p1418 :rule scope :premises (@p1417)) % 16.07/16.34 (step-pop @p1419 :rule scope :premises (@p1418)) % 16.07/16.34 (step-pop @p1420 :rule scope :premises (@p1419)) % 16.07/16.34 (step @p165 :rule process_scope :premises (@p1420) :args (@t139)) % 16.07/16.34 (step @p173 :rule and_intro :premises (@p1401 @p1403 @p1402 @p86 @p85 @p81 @p1400)) % 16.07/16.34 (step @p174 :rule modus_ponens :premises (@p173 @p165)) % 16.07/16.34 (step-pop @p1421 :rule scope :premises (@p174)) % 16.07/16.34 (step-pop @p1422 :rule scope :premises (@p1421)) % 16.07/16.34 (step-pop @p1423 :rule scope :premises (@p1422)) % 16.07/16.34 (step-pop @p1424 :rule scope :premises (@p1423)) % 16.07/16.34 (step-pop @p1425 :rule scope :premises (@p1424)) % 16.07/16.34 (step-pop @p1426 :rule scope :premises (@p1425)) % 16.07/16.34 (step-pop @p1427 :rule scope :premises (@p1426)) % 16.07/16.34 (step @p175 :rule process_scope :premises (@p1427) :args (@t139)) % 16.07/16.34 (step @p183 :rule implies_elim :premises (@p175)) % 16.07/16.34 (step @p184 :rule cnf_and_neg :args (@t140)) % 16.07/16.34 (step @p185 :rule resolution :premises (@p184 @p183) :args (true @t140)) % 16.07/16.34 (step @p186 :rule cnf_or_pos :args (@t142)) % 16.07/16.34 (step @p187 :rule reordering :premises (@p186) :args ((or @t132 @t141 @t143))) % 16.07/16.34 (assume-push @p1428 @t147) % 16.07/16.34 (step @p189 :rule instantiate :premises (@p1428) :args (@t131)) % 16.07/16.34 (step-pop @p1429 :rule scope :premises (@p189)) % 16.07/16.34 (step @p190 :rule process_scope :premises (@p1429) :args (@t142)) % 16.07/16.34 (step @p192 :rule implies_elim :premises (@p190)) % 16.07/16.34 (step @p193 :rule cnf_or_pos :args (@t150)) % 16.07/16.34 (step @p194 :rule reordering :premises (@p193) :args ((or @t149 @t148 @t151))) % 16.07/16.34 (assume-push @p1430 @t155) % 16.07/16.34 (step @p196 :rule instantiate :premises (@p1430) :args ((@list tptp.sk_c4))) % 16.07/16.34 (step-pop @p1431 :rule scope :premises (@p196)) % 16.07/16.34 (step @p197 :rule process_scope :premises (@p1431) :args (@t150)) % 16.07/16.34 (step @p199 :rule implies_elim :premises (@p197)) % 16.07/16.34 (step @p200 :rule alpha_equiv :args (@t155 (@list @t90) (@list @t75))) % 16.07/16.34 (step @p201 :rule equiv_elim2 :premises (@p200)) % 16.07/16.34 (step @p202 :rule aci_norm :args ((= (or @t157 false @t156) @t158))) % 16.07/16.34 (step @p203 :rule refl :args (@t156)) % 16.07/16.34 (step @p204 :rule evaluate :args ((not true))) % 16.07/16.34 (step @p205 :rule eq-refl :args (@t66)) % 16.07/16.34 (step @p206 :rule cong :premises (@p205) :args (@t159)) % 16.07/16.34 (step @p207 :rule trans :premises (@p206 @p204)) % 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(step @p252 :rule cong :premises (@p251) :args (@t87)) % 16.07/16.34 (step @p253 :rule eq-symm :args (@t88 tptp.sk_c8)) % 16.07/16.34 (step @p254 :rule cong :premises (@p253) :args (@t89)) % 16.07/16.34 (step @p255 :rule eq-symm :args (@t91 tptp.sk_c10)) % 16.07/16.34 (step @p256 :rule cong :premises (@p255) :args (@t92)) % 16.07/16.34 (step @p257 :rule eq-symm :args (@t93 tptp.sk_c9)) % 16.07/16.34 (step @p258 :rule cong :premises (@p257) :args (@t94)) % 16.07/16.34 (step @p259 :rule nary_cong :premises (@p258 @p256 @p254 @p252 @p250 @p248 @p246 @p244 @p242 @p240 @p238 @p236 @p234) :args (@t95)) % 16.07/16.34 (step @p260 :rule cong :premises (@p259) :args (@t97)) % 16.07/16.34 (step @p261 :rule trans :premises (@p260 @p232)) % 16.07/16.34 (step @p262 :rule eq_resolve :premises (@p46 @p261)) % 16.07/16.34 (assume-push @p1432 @t178) % 16.07/16.34 (step @p264 :rule instantiate :premises (@p1432) :args (@t111)) % 16.07/16.34 (step-pop @p1433 :rule scope :premises (@p264)) % 16.07/16.34 (step @p265 :rule process_scope :premises (@p1433) :args (@t181)) % 16.07/16.34 (step @p267 :rule implies_elim :premises (@p265)) % 16.07/16.34 (step @p268 :rule cnf_or_pos :args (@t181)) % 16.07/16.34 (step @p269 :rule reordering :premises (@p268) :args ((or @t124 @t180 @t182))) % 16.07/16.34 (step @p270 :rule bool-double-not-elim :args (@t179)) % 16.07/16.34 (step @p271 :rule refl :args (@t125)) % 16.07/16.34 (step @p272 :rule refl :args (@t126)) % 16.07/16.34 (step @p273 :rule nary_cong :premises (@p272 @p271 @p270) :args ((or @t126 @t125 (not @t180)))) % 16.07/16.34 (assume-push @p1434 @t179) % 16.07/16.34 (assume-push @p1435 @t180) % 16.07/16.34 (step @p276 :rule evaluate :args (@t183)) % 16.07/16.34 (step @p277 :rule false_intro :premises (@p1435)) % 16.07/16.34 (step @p278 :rule true_intro :premises (@p1434)) % 16.07/16.34 (step @p279 :rule symm :premises (@p278)) % 16.07/16.34 (step @p280 :rule trans :premises (@p279 @p277)) % 16.07/16.34 (step @p281 false :rule eq_resolve 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16.07/16.34 (assume-push @p1466 @t206) % 16.07/16.34 (assume-push @p1467 @t203) % 16.07/16.34 (assume-push @p1468 @t115) % 16.07/16.34 (assume-push @p1469 @t200) % 16.07/16.34 (assume-push @p1470 @t118) % 16.07/16.34 (assume-push @p1471 @t196) % 16.07/16.34 (assume-push @p1472 @t141) % 16.07/16.34 (assume-push @p1473 @t206) % 16.07/16.34 (assume-push @p1474 @t220) % 16.07/16.34 (assume-push @p1475 @t208) % 16.07/16.34 (assume-push @p1476 @t211) % 16.07/16.34 (assume-push @p1477 @t214) % 16.07/16.34 (assume-push @p1478 @t98) % 16.07/16.34 (assume-push @p1479 @t196) % 16.07/16.34 (assume-push @p1480 @t200) % 16.07/16.34 (assume-push @p1481 @t217) % 16.07/16.34 (assume-push @p1482 @t186) % 16.07/16.34 (assume-push @p1483 @t103) % 16.07/16.34 (assume-push @p1484 @t105) % 16.07/16.34 (assume-push @p1485 @t104) % 16.07/16.34 (assume-push @p1486 @t118) % 16.07/16.34 (assume-push @p1487 @t115) % 16.07/16.34 (assume-push @p1488 @t113) % 16.07/16.34 (assume-push @p1489 @t102) % 16.07/16.34 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:premises (@p1263 @p658 @p590 @p1257 @p647 @p646 @p101)) % 16.07/16.34 (step @p1265 :rule cong :premises (@p425 @p1264) :args (@t194)) % 16.07/16.34 (step @p406 :rule symm :premises (@p331)) % 16.07/16.34 (step @p662 :rule cong :premises (@p334 @p406) :args (@t223)) % 16.07/16.34 (step @p663 :rule cong :premises (@p408 @p331) :args (@t222)) % 16.07/16.34 (step @p664 :rule cong :premises (@p330 @p407) :args (@t216)) % 16.07/16.34 (step @p1266 :rule trans :premises (@p331 @p664 @p663 @p662 @p337 @p1265)) % 16.07/16.34 (step @p1267 :rule cong :premises (@p1266 @p405) :args (@t12)) % 16.07/16.34 (step @p1268 :rule trans :premises (@p1996 @p1267 @p595 @p1262 @p411 @p590 @p1257 @p647 @p646 @p101 @p1997)) % 16.07/16.34 (step-pop @p2032 :rule scope :premises (@p1268)) % 16.07/16.34 (step-pop @p2033 :rule scope :premises (@p2032)) % 16.07/16.34 (step-pop @p2034 :rule scope :premises (@p2033)) % 16.07/16.34 (step-pop @p2035 :rule scope :premises (@p2034)) % 16.07/16.34 (step-pop @p2036 :rule scope :premises (@p2035)) % 16.07/16.34 (step-pop @p2037 :rule scope :premises (@p2036)) % 16.07/16.34 (step-pop @p2038 :rule scope :premises (@p2037)) % 16.07/16.34 (step-pop @p2039 :rule scope :premises (@p2038)) % 16.07/16.34 (step-pop @p2040 :rule scope :premises (@p2039)) % 16.07/16.34 (step-pop @p2041 :rule scope :premises (@p2040)) % 16.07/16.34 (step-pop @p2042 :rule scope :premises (@p2041)) % 16.07/16.34 (step-pop @p2043 :rule scope :premises (@p2042)) % 16.07/16.34 (step-pop @p2044 :rule scope :premises (@p2043)) % 16.07/16.34 (step-pop @p2045 :rule scope :premises (@p2044)) % 16.07/16.34 (step-pop @p2046 :rule scope :premises (@p2045)) % 16.07/16.34 (step-pop @p2047 :rule scope :premises (@p2046)) % 16.07/16.34 (step-pop @p2048 :rule scope :premises (@p2047)) % 16.07/16.34 (step-pop @p2049 :rule scope :premises (@p2048)) % 16.07/16.34 (step @p1269 :rule process_scope :premises (@p2049) :args (@t119)) % 16.07/16.34 (step @p1288 :rule and_intro :premises (@p1997 @p81 @p590 @p593 @p2000 @p1999 @p592 @p591 @p589 @p330 @p334 @p333 @p595 @p332 @p1998 @p337 @p331 @p1996)) % 16.07/16.34 (step @p1289 :rule modus_ponens :premises (@p1288 @p1269)) % 16.07/16.34 (step-pop @p2050 :rule scope :premises (@p1289)) % 16.07/16.34 (step-pop @p2051 :rule scope :premises (@p2050)) % 16.07/16.34 (step-pop @p2052 :rule scope :premises (@p2051)) % 16.07/16.34 (step-pop @p2053 :rule scope :premises (@p2052)) % 16.07/16.34 (step-pop @p2054 :rule scope :premises (@p2053)) % 16.07/16.34 (step-pop @p2055 :rule scope :premises (@p2054)) % 16.07/16.34 (step-pop @p2056 :rule scope :premises (@p2055)) % 16.07/16.34 (step-pop @p2057 :rule scope :premises (@p2056)) % 16.07/16.34 (step-pop @p2058 :rule scope :premises (@p2057)) % 16.07/16.34 (step-pop @p2059 :rule scope :premises (@p2058)) % 16.07/16.34 (step-pop @p2060 :rule scope :premises (@p2059)) % 16.07/16.34 (step-pop @p2061 :rule scope :premises (@p2060)) % 16.07/16.34 (step-pop @p2062 :rule scope :premises (@p2061)) % 16.07/16.34 (step-pop @p2063 :rule scope :premises (@p2062)) % 16.07/16.34 (step-pop @p2064 :rule scope :premises (@p2063)) % 16.07/16.34 (step-pop @p2065 :rule scope :premises (@p2064)) % 16.07/16.34 (step-pop @p2066 :rule scope :premises (@p2065)) % 16.07/16.34 (step-pop @p2067 :rule scope :premises (@p2066)) % 16.07/16.34 (step @p1290 :rule process_scope :premises (@p2067) :args (@t119)) % 16.07/16.34 (step @p1309 :rule implies_elim :premises (@p1290)) % 16.07/16.34 (step @p1310 :rule cnf_and_neg :args (@t294)) % 16.07/16.34 (step @p1311 :rule resolution :premises (@p1310 @p1309) :args (true @t294)) % 16.07/16.34 (step @p1312 :rule chain_m_resolution :premises (@p141 @p136 @p1311 @p595 @p337 @p593 @p592 @p591 @p590 @p589 @p334 @p333 @p332 @p331 @p81 @p330 @p1216 @p1213 @p1209 @p262 @p1028 @p824 @p819 @p817 @p595 @p337 @p593 @p592 @p591 @p712 @p590 @p589 @p334 @p333 @p332 @p331 @p81 @p330 @p711 @p595 @p337 @p594 @p593 @p592 @p591 @p590 @p589 @p334 @p333 @p332 @p331 @p81 @p330 @p588 @p583 @p201 @p313 @p308) :args ((or @t187 @t185 @t233 @t231) (@list true false false false false false false false false false false false false false false false false true false 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 true true true true true) (@list @t133 @t119 @t257 @t200 @t250 @t246 @t243 @t241 @t239 @t208 @t211 @t214 @t217 @t113 @t220 @t102 @t101 @t287 @t138 @t178 @t130 @t274 @t270 @t257 @t200 @t250 @t246 @t243 @t269 @t241 @t239 @t208 @t211 @t214 @t217 @t113 @t220 @t260 @t257 @t200 @t252 @t250 @t246 @t243 @t241 @t239 @t208 @t211 @t214 @t217 @t113 @t220 @t147 @t234 @t174 @t155 @t188))) % 16.07/16.34 (step @p1313 :rule eq-symm :args (@t42 tptp.sk_c8)) % 16.07/16.34 (step @p1314 :rule nary_cong :premises (@p1313 @p56) :args (@t44)) % 16.07/16.34 (step @p1315 :rule eq_resolve :premises (@p20 @p1314)) % 16.07/16.34 (step @p1316 :rule reordering :premises (@p1315) :args ((or @t101 @t232))) % 16.07/16.34 (step @p1317 :rule nary_cong :premises (@p1313 @p60) :args (@t45)) % 16.07/16.34 (step @p1318 :rule eq_resolve :premises (@p21 @p1317)) % 16.07/16.34 (step @p1319 :rule reordering :premises (@p1318) :args ((or @t102 @t232))) % 16.07/16.34 (step @p1320 :rule nary_cong :premises (@p1313 @p64) :args (@t46)) % 16.07/16.34 (step @p1321 :rule eq_resolve :premises (@p22 @p1320)) % 16.07/16.34 (step @p1322 :rule reordering :premises (@p1321) :args ((or @t103 @t232))) % 16.07/16.34 (step @p1323 :rule nary_cong :premises (@p1313 @p68) :args (@t47)) % 16.07/16.34 (step @p1324 :rule eq_resolve :premises (@p23 @p1323)) % 16.07/16.34 (step @p1325 :rule reordering :premises (@p1324) :args ((or @t104 @t232))) % 16.07/16.34 (step @p1326 :rule nary_cong :premises (@p1313 @p72) :args (@t48)) % 16.07/16.34 (step @p1327 :rule eq_resolve :premises (@p24 @p1326)) % 16.07/16.34 (step @p1328 :rule reordering :premises (@p1327) :args ((or @t105 @t232))) % 16.07/16.34 (step @p1329 :rule chain_m_resolution :premises (@p262 @p141 @p580 @p192 @p136 @p575 @p187 @p134 @p129 @p86 @p85 @p81 @p573 @p338 @p86 @p337 @p85 @p334 @p333 @p332 @p331 @p81 @p330 @p489 @p338 @p86 @p337 @p85 @p336 @p335 @p334 @p333 @p332 @p331 @p81 @p330 @p77 @p1328 @p1325 @p1322 @p1319 @p1316 @p1312 @p581 @p201 @p313 @p308) :args (@t188 (@list 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 true false false false false false true false true true true) (@list @t138 @t178 @t147 @t133 @t230 @t142 @t130 @t119 @t118 @t115 @t113 @t227 @t196 @t118 @t200 @t115 @t208 @t211 @t214 @t217 @t113 @t220 @t139 @t196 @t118 @t200 @t115 @t203 @t206 @t208 @t211 @t214 @t217 @t113 @t220 @t108 @t105 @t104 @t103 @t102 @t101 @t232 @t190 @t174 @t155 @t188))) % 16.07/16.34 (step @p1330 :rule chain_m_resolution :premises (@p1329 @p306) :args (@t187 (@list false) (@list @t98))) % 16.07/16.34 (step @p1331 :rule eq-symm :args (@t12 tptp.sk_c9)) % 16.07/16.34 (step @p1332 :rule nary_cong :premises (@p1331 @p60) :args (@t23)) % 16.07/16.34 (step @p1333 :rule eq_resolve :premises (@p7 @p1332)) % 16.07/16.34 (step @p1334 :rule chain_m_resolution :premises (@p1333 @p1330) :args (@t102 @t295 @t296)) % 16.07/16.34 (step @p1335 :rule nary_cong :premises (@p1331 @p56) :args (@t20)) % 16.07/16.34 (step @p1336 :rule eq_resolve :premises (@p6 @p1335)) % 16.07/16.34 (step @p1337 :rule chain_m_resolution :premises (@p1336 @p1330) :args (@t101 @t295 @t296)) % 16.07/16.34 (step @p1338 :rule chain_m_resolution :premises (@p77 @p1337 @p1334) :args (@t109 @t297 (@list @t101 @t102))) % 16.07/16.34 (step @p1339 :rule chain_m_resolution :premises (@p134 @p1338) :args ((not @t130) @t295 (@list @t108))) % 16.07/16.34 (step @p1340 :rule nary_cong :premises (@p1331 @p72) :args (@t32)) % 16.07/16.34 (step @p1341 :rule eq_resolve :premises (@p10 @p1340)) % 16.07/16.34 (step @p1342 :rule chain_m_resolution :premises (@p1341 @p1330) :args (@t105 @t295 @t296)) % 16.07/16.34 (step @p1343 :rule nary_cong :premises (@p1331 @p68) :args (@t29)) % 16.07/16.34 (step @p1344 :rule eq_resolve :premises (@p9 @p1343)) % 16.07/16.34 (step @p1345 :rule chain_m_resolution :premises (@p1344 @p1330) :args (@t104 @t295 @t296)) % 16.07/16.34 (step @p1346 :rule nary_cong :premises (@p1331 @p64) :args (@t26)) % 16.07/16.34 (step @p1347 :rule eq_resolve :premises (@p8 @p1346)) % 16.07/16.34 (step @p1348 :rule chain_m_resolution :premises (@p1347 @p1330) :args (@t103 @t295 @t296)) % 16.07/16.34 (step @p1349 :rule chain_m_resolution :premises (@p129 @p1334 @p1348 @p1345 @p1342 @p81 @p85 @p86) :args (@t119 @t298 (@list @t102 @t103 @t104 @t105 @t113 @t115 @t118))) % 16.07/16.34 (step @p1350 :rule chain_m_resolution :premises (@p136 @p1337 @p1349) :args (@t134 @t297 (@list @t101 @t119))) % 16.07/16.34 (step @p1351 :rule chain_m_resolution :premises (@p141 @p1350) :args ((not @t138) @t295 (@list @t133))) % 16.07/16.34 (step @p1352 :rule nary_cong :premises (@p1331 @p52) :args (@t17)) % 16.07/16.34 (step @p1353 :rule eq_resolve :premises (@p5 @p1352)) % 16.07/16.34 (step @p1354 :rule chain_m_resolution :premises (@p1353 @p1330) :args (@t100 @t295 @t296)) % 16.07/16.34 (step @p1355 :rule nary_cong :premises (@p1331 @p47) :args (@t14)) % 16.07/16.34 (step @p1356 :rule eq_resolve :premises (@p4 @p1355)) % 16.07/16.34 (step @p1357 :rule chain_m_resolution :premises (@p1356 @p1330) :args (@t99 @t295 @t296)) % 16.07/16.34 (step @p1358 :rule chain_m_resolution :premises (@p194 @p1357 @p1354) :args (@t151 @t297 (@list @t99 @t100))) % 16.07/16.34 (step @p1359 :rule chain_m_resolution :premises (@p199 @p1358) :args ((not @t155) @t295 (@list @t150))) % 16.07/16.34 (step @p1360 :rule chain_m_resolution :premises (@p201 @p1359) :args ((not @t174) @t295 (@list @t155))) % 16.07/16.34 (step @p1361 :rule chain_m_resolution :premises (@p305 @p1348 @p1345) :args (@t179 @t297 (@list @t103 @t104))) % 16.07/16.34 (step @p1362 :rule chain_m_resolution :premises (@p269 @p1342 @p1361) :args (@t182 @t297 (@list @t105 @t179))) % 16.07/16.34 (step @p1363 :rule chain_m_resolution :premises (@p267 @p1362) :args (@t281 @t295 (@list @t181))) % 16.07/16.34 (step @p1364 :rule chain_m_resolution :premises (@p185 @p1337 @p1348 @p1345 @p1342 @p81 @p85 @p86) :args (@t139 @t298 (@list @t101 @t103 @t104 @t105 @t113 @t115 @t118))) % 16.07/16.34 (step @p1365 :rule chain_m_resolution :premises (@p187 @p1349 @p1364) :args (@t143 @t297 (@list @t119 @t139))) % 16.07/16.34 (step @p1366 :rule chain_m_resolution :premises (@p192 @p1365) :args ((not @t147) @t295 (@list @t142))) % 16.07/16.34 (step @p1367 false :rule chain_m_resolution :premises (@p262 @p1366 @p1363 @p1359 @p1360 @p1351 @p1339) :args (false (@list true true true true true true) (@list @t147 @t178 @t155 @t174 @t138 @t130))) % 16.07/16.34 ) % 16.07/16.34 % SZS output end Proof % 16.07/16.34 % cvc5 exiting %------------------------------------------------------------------------------