%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP223-1 : 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 : n025.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 08:20:15 AM UTC 2026 % Result : Unsatisfiable 0.86s 1.06s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GRP223-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n025.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 00:59:01 EDT 2026 % 0.16/0.33 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.86/1.06 % SZS status Unsatisfiable % 0.86/1.06 % SZS output start Proof % 0.86/1.10 ( % 0.86/1.10 (declare-sort $$unsorted 0) % 0.86/1.10 (declare-const tptp.sk_c2 $$unsorted) % 0.86/1.10 (declare-const tptp.sk_c3 $$unsorted) % 0.86/1.10 (declare-const tptp.sk_c6 $$unsorted) % 0.86/1.10 (declare-const tptp.sk_c1 $$unsorted) % 0.86/1.10 (declare-const tptp.sk_c4 $$unsorted) % 0.86/1.10 (declare-const tptp.sk_c7 $$unsorted) % 0.86/1.10 (declare-const tptp.sk_c5 $$unsorted) % 0.86/1.10 (declare-const tptp.sk_c9 $$unsorted) % 0.86/1.10 (declare-const tptp.sk_c8 $$unsorted) % 0.86/1.10 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.86/1.10 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.10 (declare-const tptp.identity $$unsorted) % 0.86/1.10 (define @t1 () (@var "X" $$unsorted)) % 0.86/1.10 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.86/1.10 (define @t3 () (@list @t1)) % 0.86/1.10 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.86/1.10 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.86/1.10 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.86/1.10 (define @t7 () (@var "Z" $$unsorted)) % 0.86/1.10 (define @t8 () (@var "Y" $$unsorted)) % 0.86/1.10 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.86/1.10 (define @t10 () (tptp.multiply tptp.sk_c4 tptp.sk_c5)) % 0.86/1.10 (define @t11 () (= @t10 tptp.sk_c9)) % 0.86/1.10 (define @t12 () (tptp.inverse tptp.sk_c1)) % 0.86/1.10 (define @t13 () (= @t12 tptp.sk_c9)) % 0.86/1.10 (define @t14 () (or @t13 @t11)) % 0.86/1.10 (define @t15 () (tptp.inverse tptp.sk_c4)) % 0.86/1.10 (define @t16 () (= @t15 tptp.sk_c5)) % 0.86/1.10 (define @t17 () (or @t13 @t16)) % 0.86/1.10 (define @t18 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 0.86/1.10 (define @t19 () (= @t18 tptp.sk_c9)) % 0.86/1.10 (define @t20 () (or @t13 @t19)) % 0.86/1.10 (define @t21 () (tptp.multiply tptp.sk_c9 tptp.sk_c7)) % 0.86/1.10 (define @t22 () (= @t21 tptp.sk_c8)) % 0.86/1.10 (define @t23 () (or @t13 @t22)) % 0.86/1.10 (define @t24 () (tptp.multiply tptp.sk_c6 tptp.sk_c9)) % 0.86/1.10 (define @t25 () (= @t24 tptp.sk_c7)) % 0.86/1.10 (define @t26 () (or @t13 @t25)) % 0.86/1.10 (define @t27 () (tptp.inverse tptp.sk_c6)) % 0.86/1.10 (define @t28 () (= @t27 tptp.sk_c9)) % 0.86/1.10 (define @t29 () (or @t13 @t28)) % 0.86/1.10 (define @t30 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 0.86/1.10 (define @t31 () (= @t30 tptp.sk_c9)) % 0.86/1.10 (define @t32 () (or @t31 @t11)) % 0.86/1.10 (define @t33 () (or @t31 @t16)) % 0.86/1.10 (define @t34 () (or @t31 @t19)) % 0.86/1.10 (define @t35 () (or @t31 @t22)) % 0.86/1.10 (define @t36 () (or @t31 @t25)) % 0.86/1.10 (define @t37 () (or @t31 @t28)) % 0.86/1.10 (define @t38 () (tptp.multiply tptp.sk_c9 tptp.sk_c3)) % 0.86/1.10 (define @t39 () (= @t38 tptp.sk_c8)) % 0.86/1.10 (define @t40 () (or @t39 @t11)) % 0.86/1.10 (define @t41 () (or @t39 @t16)) % 0.86/1.10 (define @t42 () (or @t39 @t19)) % 0.86/1.10 (define @t43 () (or @t39 @t22)) % 0.86/1.10 (define @t44 () (or @t39 @t25)) % 0.86/1.10 (define @t45 () (or @t39 @t28)) % 0.86/1.10 (define @t46 () (tptp.multiply tptp.sk_c2 tptp.sk_c9)) % 0.86/1.10 (define @t47 () (= @t46 tptp.sk_c3)) % 0.86/1.10 (define @t48 () (or @t47 @t11)) % 0.86/1.10 (define @t49 () (or @t47 @t16)) % 0.86/1.10 (define @t50 () (or @t47 @t19)) % 0.86/1.10 (define @t51 () (or @t47 @t22)) % 0.86/1.10 (define @t52 () (or @t47 @t25)) % 0.86/1.10 (define @t53 () (or @t47 @t28)) % 0.86/1.10 (define @t54 () (tptp.inverse tptp.sk_c2)) % 0.86/1.10 (define @t55 () (= @t54 tptp.sk_c9)) % 0.86/1.10 (define @t56 () (or @t55 @t11)) % 0.86/1.10 (define @t57 () (or @t55 @t16)) % 0.86/1.10 (define @t58 () (or @t55 @t19)) % 0.86/1.10 (define @t59 () (or @t55 @t22)) % 0.86/1.10 (define @t60 () (or @t55 @t25)) % 0.86/1.10 (define @t61 () (or @t55 @t28)) % 0.86/1.10 (define @t62 () (@var "X7" $$unsorted)) % 0.86/1.10 (define @t63 () (tptp.inverse @t62)) % 0.86/1.10 (define @t64 () (not (= @t63 tptp.sk_c9))) % 0.86/1.10 (define @t65 () (@var "X3" $$unsorted)) % 0.86/1.10 (define @t66 () (tptp.multiply @t62 tptp.sk_c9)) % 0.86/1.10 (define @t67 () (not (= @t66 @t65))) % 0.86/1.10 (define @t68 () (tptp.multiply tptp.sk_c9 @t65)) % 0.86/1.10 (define @t69 () (not (= @t68 tptp.sk_c8))) % 0.86/1.10 (define @t70 () (@var "X1" $$unsorted)) % 0.86/1.10 (define @t71 () (tptp.multiply @t70 tptp.sk_c8)) % 0.86/1.10 (define @t72 () (not (= @t71 tptp.sk_c9))) % 0.86/1.10 (define @t73 () (@var "X2" $$unsorted)) % 0.86/1.10 (define @t74 () (tptp.inverse @t73)) % 0.86/1.10 (define @t75 () (not (= @t74 @t70))) % 0.86/1.10 (define @t76 () (tptp.multiply @t73 @t70)) % 0.86/1.10 (define @t77 () (not (= @t76 tptp.sk_c9))) % 0.86/1.10 (define @t78 () (@var "X6" $$unsorted)) % 0.86/1.10 (define @t79 () (tptp.inverse @t78)) % 0.86/1.10 (define @t80 () (not (= @t79 tptp.sk_c9))) % 0.86/1.10 (define @t81 () (@var "X5" $$unsorted)) % 0.86/1.10 (define @t82 () (tptp.multiply @t78 tptp.sk_c9)) % 0.86/1.10 (define @t83 () (not (= @t82 @t81))) % 0.86/1.10 (define @t84 () (tptp.multiply tptp.sk_c9 @t81)) % 0.86/1.10 (define @t85 () (not (= @t84 tptp.sk_c8))) % 0.86/1.10 (define @t86 () (@var "X4" $$unsorted)) % 0.86/1.10 (define @t87 () (tptp.multiply @t86 tptp.sk_c8)) % 0.86/1.10 (define @t88 () (not (= @t87 tptp.sk_c9))) % 0.86/1.10 (define @t89 () (tptp.inverse @t86)) % 0.86/1.10 (define @t90 () (not (= @t89 tptp.sk_c9))) % 0.86/1.10 (define @t91 () (or @t90 @t88 @t85 @t83 @t80 @t77 @t75 @t72 @t69 @t67 @t64)) % 0.86/1.10 (define @t92 () (@list @t86 @t81 @t78 @t73 @t70 @t65 @t62)) % 0.86/1.10 (define @t93 () (forall @t92 @t91)) % 0.86/1.10 (define @t94 () (= tptp.sk_c9 @t30)) % 0.86/1.10 (define @t95 () (= tptp.sk_c9 @t18)) % 0.86/1.10 (define @t96 () (= tptp.sk_c8 @t38)) % 0.86/1.10 (define @t97 () (= tptp.sk_c3 @t46)) % 0.86/1.10 (define @t98 () (= tptp.sk_c9 @t54)) % 0.86/1.10 (define @t99 () (not @t94)) % 0.86/1.10 (define @t100 () (= tptp.sk_c9 @t12)) % 0.86/1.10 (define @t101 () (not @t100)) % 0.86/1.10 (define @t102 () (or @t101 @t99)) % 0.86/1.10 (define @t103 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 @t46))) % 0.86/1.10 (define @t104 () (and @t96 @t97)) % 0.86/1.10 (define @t105 () (not (= tptp.sk_c9 @t87))) % 0.86/1.10 (define @t106 () (not (= tptp.sk_c9 @t89))) % 0.86/1.10 (define @t107 () (or @t106 @t105)) % 0.86/1.10 (define @t108 () (forall (@list @t86) @t107)) % 0.86/1.10 (define @t109 () (@list tptp.sk_c1)) % 0.86/1.10 (define @t110 () (not @t98)) % 0.86/1.10 (define @t111 () (not @t103)) % 0.86/1.10 (define @t112 () (or @t111 @t110)) % 0.86/1.10 (define @t113 () (not @t112)) % 0.86/1.10 (define @t114 () (@quantifiers_skolemize @t108 0)) % 0.86/1.10 (define @t115 () (tptp.multiply @t114 tptp.sk_c8)) % 0.86/1.10 (define @t116 () (= tptp.sk_c9 @t115)) % 0.86/1.10 (define @t117 () (not @t116)) % 0.86/1.10 (define @t118 () (tptp.inverse @t114)) % 0.86/1.10 (define @t119 () (= tptp.sk_c9 @t118)) % 0.86/1.10 (define @t120 () (not @t119)) % 0.86/1.10 (define @t121 () (or @t120 @t117)) % 0.86/1.10 (define @t122 () (not @t121)) % 0.86/1.10 (define @t123 () (not @t108)) % 0.86/1.10 (define @t124 () (not (= tptp.sk_c9 @t79))) % 0.86/1.10 (define @t125 () (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 @t82)))) % 0.86/1.10 (define @t126 () (or @t125 @t124)) % 0.86/1.10 (define @t127 () (@list @t78)) % 0.86/1.10 (define @t128 () (forall @t127 @t126)) % 0.86/1.10 (define @t129 () (@list tptp.sk_c2)) % 0.86/1.10 (define @t130 () (@quantifiers_skolemize @t128 0)) % 0.86/1.10 (define @t131 () (tptp.inverse @t130)) % 0.86/1.10 (define @t132 () (= tptp.sk_c9 @t131)) % 0.86/1.10 (define @t133 () (not @t132)) % 0.86/1.10 (define @t134 () (tptp.multiply @t130 tptp.sk_c9)) % 0.86/1.10 (define @t135 () (tptp.multiply tptp.sk_c9 @t134)) % 0.86/1.10 (define @t136 () (= tptp.sk_c8 @t135)) % 0.86/1.10 (define @t137 () (not @t136)) % 0.86/1.10 (define @t138 () (or @t137 @t133)) % 0.86/1.10 (define @t139 () (not @t138)) % 0.86/1.10 (define @t140 () (not @t128)) % 0.86/1.10 (define @t141 () (not (= tptp.sk_c9 @t63))) % 0.86/1.10 (define @t142 () (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 @t66)))) % 0.86/1.10 (define @t143 () (or @t142 @t141)) % 0.86/1.10 (define @t144 () (not (= @t66 @t66))) % 0.86/1.10 (define @t145 () (or @t142 @t144 @t141)) % 0.86/1.10 (define @t146 () (@list @t62)) % 0.86/1.10 (define @t147 () (not (= @t65 @t66))) % 0.86/1.10 (define @t148 () (not (= tptp.sk_c8 @t68))) % 0.86/1.10 (define @t149 () (or @t147 @t148 @t147 @t141)) % 0.86/1.10 (define @t150 () (@list @t65)) % 0.86/1.10 (define @t151 () (or @t148 @t147 @t141)) % 0.86/1.10 (define @t152 () (forall @t150 @t151)) % 0.86/1.10 (define @t153 () (forall @t146 @t152)) % 0.86/1.10 (define @t154 () (forall (@list @t62 @t65) @t151)) % 0.86/1.10 (define @t155 () (forall (@list @t65 @t62) @t151)) % 0.86/1.10 (define @t156 () (not (= tptp.sk_c9 (tptp.multiply @t74 tptp.sk_c8)))) % 0.86/1.10 (define @t157 () (not (= tptp.sk_c9 (tptp.multiply @t73 @t74)))) % 0.86/1.10 (define @t158 () (or @t157 @t156)) % 0.86/1.10 (define @t159 () (not (= @t74 @t74))) % 0.86/1.10 (define @t160 () (or @t157 @t159 @t156)) % 0.86/1.10 (define @t161 () (@list @t73)) % 0.86/1.10 (define @t162 () (not (= tptp.sk_c9 @t71))) % 0.86/1.10 (define @t163 () (not (= @t70 @t74))) % 0.86/1.10 (define @t164 () (not (= tptp.sk_c9 @t76))) % 0.86/1.10 (define @t165 () (or @t163 @t164 @t163 @t162)) % 0.86/1.10 (define @t166 () (@list @t70)) % 0.86/1.10 (define @t167 () (or @t164 @t163 @t162)) % 0.86/1.10 (define @t168 () (forall @t166 @t167)) % 0.86/1.10 (define @t169 () (forall @t161 @t168)) % 0.86/1.10 (define @t170 () (forall (@list @t73 @t70) @t167)) % 0.86/1.10 (define @t171 () (not (= @t82 @t82))) % 0.86/1.10 (define @t172 () (or @t125 @t171 @t124)) % 0.86/1.10 (define @t173 () (not (= @t81 @t82))) % 0.86/1.10 (define @t174 () (not (= tptp.sk_c8 @t84))) % 0.86/1.10 (define @t175 () (or @t173 @t174 @t173 @t124)) % 0.86/1.10 (define @t176 () (@list @t81)) % 0.86/1.10 (define @t177 () (or @t174 @t173 @t124)) % 0.86/1.10 (define @t178 () (forall @t176 @t177)) % 0.86/1.10 (define @t179 () (forall @t127 @t178)) % 0.86/1.10 (define @t180 () (forall (@list @t78 @t81) @t177)) % 0.86/1.10 (define @t181 () (forall (@list @t81 @t78) @t177)) % 0.86/1.10 (define @t182 () (or @t108 @t181 @t170 @t155)) % 0.86/1.10 (define @t183 () (or @t107 @t177 @t167 @t151)) % 0.86/1.10 (define @t184 () (or @t106 @t105 @t174 @t173 @t124 @t164 @t163 @t162 @t148 @t147 @t141)) % 0.86/1.10 (define @t185 () (forall @t161 @t158)) % 0.86/1.10 (define @t186 () (@list @t114)) % 0.86/1.10 (define @t187 () (= tptp.sk_c9 (tptp.multiply @t118 tptp.sk_c8))) % 0.86/1.10 (define @t188 () (not @t187)) % 0.86/1.10 (define @t189 () (= tptp.sk_c9 (tptp.multiply @t114 @t118))) % 0.86/1.10 (define @t190 () (not @t189)) % 0.86/1.10 (define @t191 () (or @t190 @t188)) % 0.86/1.10 (define @t192 () (@list @t130)) % 0.86/1.10 (define @t193 () (@quantifiers_skolemize @t185 0)) % 0.86/1.10 (define @t194 () (@list @t193)) % 0.86/1.10 (define @t195 () (tptp.multiply tptp.sk_c9 @t130)) % 0.86/1.10 (define @t196 () (tptp.multiply @t195 tptp.sk_c9)) % 0.86/1.10 (define @t197 () (= @t196 @t135)) % 0.86/1.10 (define @t198 () (@list tptp.sk_c9 @t130 tptp.sk_c9)) % 0.86/1.10 (define @t199 () (= @t135 @t196)) % 0.86/1.10 (define @t200 () (@list false)) % 0.86/1.10 (define @t201 () (@list @t9)) % 0.86/1.10 (define @t202 () (@list tptp.sk_c9)) % 0.86/1.10 (define @t203 () (tptp.inverse @t193)) % 0.86/1.10 (define @t204 () (@list @t203)) % 0.86/1.10 (define @t205 () (tptp.multiply tptp.sk_c1 tptp.sk_c9)) % 0.86/1.10 (define @t206 () (tptp.multiply @t130 @t203)) % 0.86/1.10 (define @t207 () (tptp.multiply @t195 @t203)) % 0.86/1.10 (define @t208 () (tptp.multiply tptp.sk_c9 @t206)) % 0.86/1.10 (define @t209 () (= @t207 @t208)) % 0.86/1.10 (define @t210 () (@list tptp.sk_c9 @t130 @t203)) % 0.86/1.10 (define @t211 () (= @t208 @t207)) % 0.86/1.10 (define @t212 () (tptp.multiply tptp.sk_c8 @t130)) % 0.86/1.10 (define @t213 () (tptp.multiply @t212 @t203)) % 0.86/1.10 (define @t214 () (tptp.multiply tptp.sk_c8 @t206)) % 0.86/1.10 (define @t215 () (= @t213 @t214)) % 0.86/1.10 (define @t216 () (@list tptp.sk_c8 @t130 @t203)) % 0.86/1.10 (define @t217 () (= @t214 @t213)) % 0.86/1.10 (define @t218 () (tptp.multiply @t134 @t130)) % 0.86/1.10 (define @t219 () (tptp.multiply @t193 tptp.sk_c9)) % 0.86/1.10 (define @t220 () (tptp.multiply @t114 @t203)) % 0.86/1.10 (define @t221 () (tptp.multiply @t130 @t195)) % 0.86/1.10 (define @t222 () (tptp.multiply tptp.sk_c9 @t221)) % 0.86/1.10 (define @t223 () (tptp.multiply @t222 tptp.sk_c9)) % 0.86/1.10 (define @t224 () (tptp.multiply @t221 tptp.sk_c9)) % 0.86/1.10 (define @t225 () (tptp.multiply tptp.sk_c9 @t224)) % 0.86/1.10 (define @t226 () (= @t223 @t225)) % 0.86/1.10 (define @t227 () (@list tptp.sk_c9 @t221 tptp.sk_c9)) % 0.86/1.10 (define @t228 () (= @t225 @t223)) % 0.86/1.10 (define @t229 () (tptp.multiply @t218 tptp.sk_c9)) % 0.86/1.10 (define @t230 () (tptp.multiply @t134 @t134)) % 0.86/1.10 (define @t231 () (= @t229 @t230)) % 0.86/1.10 (define @t232 () (@list @t134 @t130 tptp.sk_c9)) % 0.86/1.10 (define @t233 () (= @t230 @t229)) % 0.86/1.10 (define @t234 () (tptp.multiply @t218 @t203)) % 0.86/1.10 (define @t235 () (tptp.multiply @t134 @t206)) % 0.86/1.10 (define @t236 () (= @t234 @t235)) % 0.86/1.10 (define @t237 () (= @t235 @t234)) % 0.86/1.10 (define @t238 () (tptp.multiply @t131 @t130)) % 0.86/1.10 (define @t239 () (= tptp.identity @t238)) % 0.86/1.10 (define @t240 () (tptp.multiply @t203 @t193)) % 0.86/1.10 (define @t241 () (= tptp.identity @t240)) % 0.86/1.10 (define @t242 () (tptp.multiply tptp.sk_c1 @t135)) % 0.86/1.10 (define @t243 () (tptp.multiply @t205 @t134)) % 0.86/1.10 (define @t244 () (= @t243 @t242)) % 0.86/1.10 (define @t245 () (tptp.multiply tptp.identity tptp.sk_c9)) % 0.86/1.10 (define @t246 () (= tptp.sk_c9 @t245)) % 0.86/1.10 (define @t247 () (tptp.multiply @t240 tptp.sk_c9)) % 0.86/1.10 (define @t248 () (= @t247 (tptp.multiply @t203 @t219))) % 0.86/1.10 (define @t249 () (= @t203 (tptp.multiply tptp.identity @t203))) % 0.86/1.10 (define @t250 () (tptp.multiply @t118 @t114)) % 0.86/1.10 (define @t251 () (= tptp.identity @t250)) % 0.86/1.10 (define @t252 () (tptp.multiply @t195 @t38)) % 0.86/1.10 (define @t253 () (= (tptp.multiply @t196 tptp.sk_c3) @t252)) % 0.86/1.10 (define @t254 () (tptp.multiply @t195 @t195)) % 0.86/1.10 (define @t255 () (tptp.multiply @t196 @t130)) % 0.86/1.10 (define @t256 () (= @t255 @t254)) % 0.86/1.10 (define @t257 () (tptp.multiply @t205 @t230)) % 0.86/1.10 (define @t258 () (tptp.multiply @t243 @t134)) % 0.86/1.10 (define @t259 () (= @t258 @t257)) % 0.86/1.10 (define @t260 () (tptp.multiply @t195 @t208)) % 0.86/1.10 (define @t261 () (tptp.multiply @t196 @t206)) % 0.86/1.10 (define @t262 () (= @t261 @t260)) % 0.86/1.10 (define @t263 () (tptp.multiply @t205 @t235)) % 0.86/1.10 (define @t264 () (tptp.multiply @t243 @t206)) % 0.86/1.10 (define @t265 () (= @t264 @t263)) % 0.86/1.10 (define @t266 () (tptp.multiply @t130 @t196)) % 0.86/1.10 (define @t267 () (= @t224 @t266)) % 0.86/1.10 (define @t268 () (tptp.multiply @t195 @t196)) % 0.86/1.10 (define @t269 () (tptp.multiply @t254 tptp.sk_c9)) % 0.86/1.10 (define @t270 () (= @t269 @t268)) % 0.86/1.10 (define @t271 () (tptp.multiply @t130 @t135)) % 0.86/1.10 (define @t272 () (tptp.multiply @t238 @t135)) % 0.86/1.10 (define @t273 () (= @t272 (tptp.multiply @t131 @t271))) % 0.86/1.10 (define @t274 () (tptp.multiply @t118 @t220)) % 0.86/1.10 (define @t275 () (tptp.multiply @t250 @t203)) % 0.86/1.10 (define @t276 () (= @t275 @t274)) % 0.86/1.10 (define @t277 () (tptp.multiply @t205 @t218)) % 0.86/1.10 (define @t278 () (tptp.multiply @t243 @t130)) % 0.86/1.10 (define @t279 () (= @t278 @t277)) % 0.86/1.10 (define @t280 () (= @t254 @t222)) % 0.86/1.10 (define @t281 () (tptp.multiply tptp.identity @t130)) % 0.86/1.10 (define @t282 () (= @t130 @t281)) % 0.86/1.10 (define @t283 () (tptp.multiply @t277 @t203)) % 0.86/1.10 (define @t284 () (= @t283 (tptp.multiply @t205 @t234))) % 0.86/1.10 (define @t285 () (tptp.multiply @t115 @t206)) % 0.86/1.10 (define @t286 () (= @t285 (tptp.multiply @t114 @t214))) % 0.86/1.10 (define @t287 () (= @t135 (tptp.multiply tptp.identity @t135))) % 0.86/1.10 (define @t288 () (tptp.multiply @t205 @t229)) % 0.86/1.10 (define @t289 () (tptp.multiply @t277 tptp.sk_c9)) % 0.86/1.10 (define @t290 () (= @t289 @t288)) % 0.86/1.10 (define @t291 () (tptp.multiply @t220 @t219)) % 0.86/1.10 (define @t292 () (tptp.multiply @t118 @t291)) % 0.86/1.10 (define @t293 () (tptp.multiply @t274 @t219)) % 0.86/1.10 (define @t294 () (= @t293 @t292)) % 0.86/1.10 (define @t295 () (tptp.multiply @t195 @t274)) % 0.86/1.10 (define @t296 () (= (tptp.multiply (tptp.multiply @t195 @t118) @t220) @t295)) % 0.86/1.10 (define @t297 () (tptp.multiply @t212 @t118)) % 0.86/1.10 (define @t298 () (tptp.multiply @t297 @t220)) % 0.86/1.10 (define @t299 () (= @t298 (tptp.multiply @t212 @t274))) % 0.86/1.10 (define @t300 () (tptp.multiply tptp.sk_c9 @t196)) % 0.86/1.10 (define @t301 () (tptp.multiply tptp.sk_c9 @t269)) % 0.86/1.10 (define @t302 () (tptp.multiply @t135 tptp.sk_c3)) % 0.86/1.10 (define @t303 () (tptp.multiply tptp.sk_c8 tptp.sk_c3)) % 0.86/1.10 (define @t304 () (tptp.multiply @t131 @t281)) % 0.86/1.10 (define @t305 () (tptp.multiply @t30 @t206)) % 0.86/1.10 (define @t306 () (tptp.multiply @t135 @t130)) % 0.86/1.10 (define @t307 () (tptp.multiply @t195 @t207)) % 0.86/1.10 (define @t308 () (and @t94 @t96 @t136 @t132 @t239 @t241 @t244 @t199 @t246 @t248 @t119 @t116 @t249 @t251 @t253 @t256 @t259 @t262 @t265 @t211 @t267 @t270 @t217 @t273 @t276 @t279 @t280 @t282 @t284 @t286 @t287 @t290 @t294 @t228 @t233 @t237 @t296 @t299)) % 0.86/1.10 (define @t309 () (not @t237)) % 0.86/1.10 (define @t310 () (not @t233)) % 0.86/1.10 (define @t311 () (not @t228)) % 0.86/1.10 (define @t312 () (not @t290)) % 0.86/1.10 (define @t313 () (not @t287)) % 0.86/1.10 (define @t314 () (not @t284)) % 0.86/1.10 (define @t315 () (not @t282)) % 0.86/1.10 (define @t316 () (not @t280)) % 0.86/1.10 (define @t317 () (not @t279)) % 0.86/1.10 (define @t318 () (not @t276)) % 0.86/1.10 (define @t319 () (not @t273)) % 0.86/1.10 (define @t320 () (not @t217)) % 0.86/1.10 (define @t321 () (not @t270)) % 0.86/1.10 (define @t322 () (not @t267)) % 0.86/1.10 (define @t323 () (not @t211)) % 0.86/1.10 (define @t324 () (not @t265)) % 0.86/1.10 (define @t325 () (not @t262)) % 0.86/1.10 (define @t326 () (not @t259)) % 0.86/1.10 (define @t327 () (not @t256)) % 0.86/1.10 (define @t328 () (not @t253)) % 0.86/1.10 (define @t329 () (not @t251)) % 0.86/1.10 (define @t330 () (not @t249)) % 0.86/1.10 (define @t331 () (not @t246)) % 0.86/1.10 (define @t332 () (not @t199)) % 0.86/1.10 (define @t333 () (not @t244)) % 0.86/1.10 (define @t334 () (not @t241)) % 0.86/1.10 (define @t335 () (not @t239)) % 0.86/1.10 (define @t336 () (not @t96)) % 0.86/1.10 (define @t337 () (tptp.multiply @t195 tptp.sk_c8)) % 0.86/1.10 (define @t338 () (and @t94 @t136 @t132 @t239 @t241 @t244 @t199 @t246 @t119 @t116 @t259 @t267 @t270 @t273 @t279 @t280 @t282 @t287 @t290 @t228 @t233)) % 0.86/1.10 (define @t339 () (not @t191)) % 0.86/1.10 (define @t340 () (forall @t146 @t143)) % 0.86/1.10 (define @t341 () (= tptp.sk_c9 @t10)) % 0.86/1.10 (define @t342 () (= tptp.sk_c5 @t15)) % 0.86/1.10 (define @t343 () (= tptp.sk_c8 @t21)) % 0.86/1.10 (define @t344 () (= tptp.sk_c9 (tptp.multiply @t15 tptp.sk_c8))) % 0.86/1.10 (define @t345 () (and @t342 @t95)) % 0.86/1.10 (define @t346 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 @t15))) % 0.86/1.10 (define @t347 () (and @t341 @t342)) % 0.86/1.10 (define @t348 () (not @t344)) % 0.86/1.10 (define @t349 () (not @t346)) % 0.86/1.10 (define @t350 () (or @t349 @t348)) % 0.86/1.10 (define @t351 () (not @t350)) % 0.86/1.10 (define @t352 () (not @t95)) % 0.86/1.10 (define @t353 () (not @t341)) % 0.86/1.10 (define @t354 () (@list false false)) % 0.86/1.10 (define @t355 () (tptp.multiply @t203 tptp.sk_c8)) % 0.86/1.10 (define @t356 () (= tptp.sk_c9 @t355)) % 0.86/1.10 (define @t357 () (not @t356)) % 0.86/1.10 (define @t358 () (tptp.multiply @t193 @t203)) % 0.86/1.10 (define @t359 () (= tptp.sk_c9 @t358)) % 0.86/1.10 (define @t360 () (not @t359)) % 0.86/1.10 (define @t361 () (or @t360 @t357)) % 0.86/1.10 (define @t362 () (not @t361)) % 0.86/1.10 (define @t363 () (not @t185)) % 0.86/1.10 (define @t364 () (= tptp.sk_c7 @t24)) % 0.86/1.10 (define @t365 () (= tptp.sk_c9 @t27)) % 0.86/1.10 (define @t366 () (@list tptp.sk_c6)) % 0.86/1.10 (define @t367 () (tptp.multiply @t203 tptp.sk_c9)) % 0.86/1.10 (define @t368 () (tptp.inverse @t203)) % 0.86/1.10 (define @t369 () (tptp.multiply tptp.sk_c6 @t203)) % 0.86/1.10 (define @t370 () (tptp.multiply tptp.sk_c8 tptp.sk_c6)) % 0.86/1.10 (define @t371 () (tptp.multiply @t370 @t203)) % 0.86/1.10 (define @t372 () (tptp.multiply tptp.sk_c8 @t369)) % 0.86/1.10 (define @t373 () (= @t371 @t372)) % 0.86/1.10 (define @t374 () (@list tptp.sk_c8 tptp.sk_c6 @t203)) % 0.86/1.10 (define @t375 () (= @t372 @t371)) % 0.86/1.10 (define @t376 () (= tptp.identity (tptp.multiply @t27 tptp.sk_c6))) % 0.86/1.10 (define @t377 () (tptp.multiply tptp.sk_c9 @t24)) % 0.86/1.10 (define @t378 () (tptp.multiply tptp.sk_c9 tptp.sk_c6)) % 0.86/1.10 (define @t379 () (tptp.multiply @t378 tptp.sk_c9)) % 0.86/1.10 (define @t380 () (= @t379 @t377)) % 0.86/1.10 (define @t381 () (tptp.multiply tptp.sk_c6 @t355)) % 0.86/1.10 (define @t382 () (tptp.multiply @t369 tptp.sk_c8)) % 0.86/1.10 (define @t383 () (= @t382 @t381)) % 0.86/1.10 (define @t384 () (tptp.multiply @t203 @t135)) % 0.86/1.10 (define @t385 () (tptp.multiply @t367 @t134)) % 0.86/1.10 (define @t386 () (= @t385 @t384)) % 0.86/1.10 (define @t387 () (tptp.multiply @t368 @t203)) % 0.86/1.10 (define @t388 () (= tptp.identity @t387)) % 0.86/1.10 (define @t389 () (tptp.multiply @t134 tptp.sk_c7)) % 0.86/1.10 (define @t390 () (tptp.multiply @t367 @t389)) % 0.86/1.10 (define @t391 () (tptp.multiply @t385 tptp.sk_c7)) % 0.86/1.10 (define @t392 () (= @t391 @t390)) % 0.86/1.10 (define @t393 () (tptp.multiply @t135 tptp.sk_c6)) % 0.86/1.10 (define @t394 () (tptp.multiply @t203 @t393)) % 0.86/1.10 (define @t395 () (= (tptp.multiply @t384 tptp.sk_c6) @t394)) % 0.86/1.10 (define @t396 () (tptp.multiply @t387 tptp.sk_c9)) % 0.86/1.10 (define @t397 () (= @t396 (tptp.multiply @t368 @t367))) % 0.86/1.10 (define @t398 () (tptp.multiply @t196 @t369)) % 0.86/1.10 (define @t399 () (= @t398 (tptp.multiply @t195 (tptp.multiply tptp.sk_c9 @t369)))) % 0.86/1.10 (define @t400 () (tptp.multiply tptp.identity @t193)) % 0.86/1.10 (define @t401 () (= @t193 @t400)) % 0.86/1.10 (define @t402 () (tptp.multiply @t203 @t400)) % 0.86/1.10 (define @t403 () (tptp.multiply @t203 tptp.identity)) % 0.86/1.10 (define @t404 () (tptp.multiply @t403 @t193)) % 0.86/1.10 (define @t405 () (= @t404 @t402)) % 0.86/1.10 (define @t406 () (tptp.multiply @t368 tptp.sk_c8)) % 0.86/1.10 (define @t407 () (tptp.multiply @t406 @t206)) % 0.86/1.10 (define @t408 () (= @t407 (tptp.multiply @t368 @t214))) % 0.86/1.10 (define @t409 () (tptp.multiply @t203 @t387)) % 0.86/1.10 (define @t410 () (= tptp.sk_c9 @t368)) % 0.86/1.10 (define @t411 () (and @t343 @t364 @t365 @t136 @t359 @t356 @t376 @t241 @t380 @t383 @t199 @t386 @t246 @t388 @t392 @t395 @t249 @t397 @t399 @t211 @t375 @t217 @t401 @t405 @t408)) % 0.86/1.10 (define @t412 () (not @t405)) % 0.86/1.10 (define @t413 () (not @t401)) % 0.86/1.10 (define @t414 () (not @t388)) % 0.86/1.10 (define @t415 () (not @t365)) % 0.86/1.10 (define @t416 () (not @t343)) % 0.86/1.10 (define @t417 () (@list false false false false false false false false false false false false false false false false false false false false false)) % 0.86/1.10 (define @t418 () (@list @t408 @t405 @t401 @t217 @t375 @t211 @t399 @t397 @t249 @t395 @t392 @t388 @t246 @t386 @t199 @t383 @t380 @t241 @t376 @t365 @t364)) % 0.86/1.10 (define @t419 () (= tptp.sk_c9 (tptp.multiply @t12 tptp.sk_c8))) % 0.86/1.10 (define @t420 () (not @t419)) % 0.86/1.10 (define @t421 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 @t12))) % 0.86/1.10 (define @t422 () (not @t421)) % 0.86/1.10 (define @t423 () (or @t422 @t420)) % 0.86/1.10 (define @t424 () (@list false false false false)) % 0.86/1.10 (define @t425 () (tptp.multiply tptp.sk_c1 @t10)) % 0.86/1.10 (define @t426 () (and @t100 @t341 @t94 @t136 @t132 @t239 @t241 @t244 @t199 @t246 @t279 @t282)) % 0.86/1.10 (define @t427 () (tptp.multiply tptp.sk_c1 @t203)) % 0.86/1.10 (define @t428 () (tptp.multiply tptp.sk_c4 @t203)) % 0.86/1.10 (define @t429 () (tptp.multiply @t205 tptp.sk_c9)) % 0.86/1.10 (define @t430 () (tptp.multiply @t429 @t130)) % 0.86/1.10 (define @t431 () (tptp.multiply @t205 @t195)) % 0.86/1.10 (define @t432 () (= @t430 @t431)) % 0.86/1.10 (define @t433 () (@list @t205 tptp.sk_c9 @t130)) % 0.86/1.10 (define @t434 () (= @t431 @t430)) % 0.86/1.10 (define @t435 () (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c2 @t203))) % 0.86/1.10 (define @t436 () (tptp.multiply tptp.sk_c8 tptp.sk_c2)) % 0.86/1.10 (define @t437 () (tptp.multiply @t436 @t203)) % 0.86/1.10 (define @t438 () (= @t437 @t435)) % 0.86/1.10 (define @t439 () (@list tptp.sk_c8 tptp.sk_c2 @t203)) % 0.86/1.10 (define @t440 () (= @t435 @t437)) % 0.86/1.10 (define @t441 () (tptp.multiply @t12 @t435)) % 0.86/1.10 (define @t442 () (tptp.multiply @t230 @t130)) % 0.86/1.10 (define @t443 () (tptp.multiply @t134 @t218)) % 0.86/1.10 (define @t444 () (= @t442 @t443)) % 0.86/1.10 (define @t445 () (@list @t134 @t134 @t130)) % 0.86/1.10 (define @t446 () (= @t443 @t442)) % 0.86/1.10 (define @t447 () (tptp.multiply @t193 (tptp.multiply @t203 @t203))) % 0.86/1.10 (define @t448 () (tptp.multiply @t12 tptp.sk_c1)) % 0.86/1.10 (define @t449 () (= tptp.identity @t448)) % 0.86/1.10 (define @t450 () (= tptp.identity (tptp.multiply @t54 tptp.sk_c2))) % 0.86/1.10 (define @t451 () (tptp.multiply @t207 @t135)) % 0.86/1.10 (define @t452 () (= @t451 (tptp.multiply @t195 @t384))) % 0.86/1.10 (define @t453 () (tptp.multiply tptp.identity @t384)) % 0.86/1.10 (define @t454 () (= @t384 @t453)) % 0.86/1.10 (define @t455 () (tptp.multiply @t130 tptp.sk_c8)) % 0.86/1.10 (define @t456 () (tptp.multiply @t455 tptp.sk_c3)) % 0.86/1.10 (define @t457 () (= @t456 (tptp.multiply @t130 @t303))) % 0.86/1.10 (define @t458 () (tptp.multiply tptp.sk_c8 tptp.sk_c7)) % 0.86/1.10 (define @t459 () (tptp.multiply @t130 @t458)) % 0.86/1.10 (define @t460 () (= (tptp.multiply @t455 tptp.sk_c7) @t459)) % 0.86/1.10 (define @t461 () (tptp.multiply tptp.sk_c4 @t196)) % 0.86/1.10 (define @t462 () (tptp.multiply tptp.sk_c4 @t195)) % 0.86/1.10 (define @t463 () (= (tptp.multiply @t462 tptp.sk_c9) @t461)) % 0.86/1.10 (define @t464 () (tptp.multiply @t203 @t196)) % 0.86/1.10 (define @t465 () (tptp.multiply (tptp.multiply @t203 @t195) tptp.sk_c9)) % 0.86/1.10 (define @t466 () (= @t465 @t464)) % 0.86/1.10 (define @t467 () (tptp.multiply @t205 @t196)) % 0.86/1.10 (define @t468 () (tptp.multiply @t431 tptp.sk_c9)) % 0.86/1.10 (define @t469 () (= @t468 @t467)) % 0.86/1.10 (define @t470 () (tptp.multiply @t427 @t196)) % 0.86/1.10 (define @t471 () (tptp.multiply (tptp.multiply @t427 @t195) tptp.sk_c9)) % 0.86/1.10 (define @t472 () (= @t471 @t470)) % 0.86/1.10 (define @t473 () (tptp.multiply @t428 @t196)) % 0.86/1.10 (define @t474 () (= (tptp.multiply (tptp.multiply @t428 @t195) tptp.sk_c9) @t473)) % 0.86/1.10 (define @t475 () (tptp.multiply @t218 tptp.sk_c8)) % 0.86/1.10 (define @t476 () (= @t475 (tptp.multiply @t134 @t455))) % 0.86/1.10 (define @t477 () (tptp.multiply tptp.identity @t368)) % 0.86/1.10 (define @t478 () (= @t368 @t477)) % 0.86/1.10 (define @t479 () (tptp.multiply @t358 @t203)) % 0.86/1.10 (define @t480 () (= @t479 @t447)) % 0.86/1.10 (define @t481 () (tptp.multiply @t195 @t387)) % 0.86/1.10 (define @t482 () (tptp.multiply (tptp.multiply @t195 @t368) @t203)) % 0.86/1.10 (define @t483 () (= @t482 @t481)) % 0.86/1.10 (define @t484 () (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)) % 0.86/1.10 (define @t485 () (= tptp.identity @t484)) % 0.86/1.10 (define @t486 () (tptp.multiply @t468 @t130)) % 0.86/1.10 (define @t487 () (= @t486 (tptp.multiply @t431 @t195))) % 0.86/1.10 (define @t488 () (tptp.multiply @t203 @t12)) % 0.86/1.10 (define @t489 () (tptp.multiply @t427 @t12)) % 0.86/1.10 (define @t490 () (= @t489 (tptp.multiply tptp.sk_c1 @t488))) % 0.86/1.10 (define @t491 () (tptp.multiply @t130 @t488)) % 0.86/1.10 (define @t492 () (tptp.multiply @t206 @t12)) % 0.86/1.10 (define @t493 () (= @t492 @t491)) % 0.86/1.10 (define @t494 () (tptp.multiply tptp.sk_c8 @t492)) % 0.86/1.10 (define @t495 () (= (tptp.multiply @t214 @t12) @t494)) % 0.86/1.10 (define @t496 () (tptp.multiply @t435 @t193)) % 0.86/1.10 (define @t497 () (tptp.multiply @t12 @t496)) % 0.86/1.10 (define @t498 () (= (tptp.multiply @t441 @t193) @t497)) % 0.86/1.10 (define @t499 () (tptp.multiply tptp.sk_c5 @t214)) % 0.86/1.10 (define @t500 () (= (tptp.multiply @t18 @t206) @t499)) % 0.86/1.10 (define @t501 () (= @t305 (tptp.multiply tptp.sk_c1 @t214))) % 0.86/1.10 (define @t502 () (tptp.multiply @t281 tptp.sk_c9)) % 0.86/1.10 (define @t503 () (= @t502 (tptp.multiply tptp.identity @t134))) % 0.86/1.10 (define @t504 () (tptp.multiply tptp.identity @t387)) % 0.86/1.10 (define @t505 () (= (tptp.multiply @t477 @t203) @t504)) % 0.86/1.10 (define @t506 () (tptp.multiply tptp.sk_c4 @t464)) % 0.86/1.10 (define @t507 () (= @t473 @t506)) % 0.86/1.10 (define @t508 () (tptp.multiply @t221 @t38)) % 0.86/1.10 (define @t509 () (= (tptp.multiply @t224 tptp.sk_c3) @t508)) % 0.86/1.10 (define @t510 () (tptp.multiply @t224 @t134)) % 0.86/1.10 (define @t511 () (= @t510 (tptp.multiply @t221 @t135))) % 0.86/1.10 (define @t512 () (tptp.multiply @t10 @t214)) % 0.86/1.10 (define @t513 () (= @t512 (tptp.multiply tptp.sk_c4 @t499))) % 0.86/1.10 (define @t514 () (tptp.multiply @t10 @t303)) % 0.86/1.10 (define @t515 () (= @t514 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 @t303)))) % 0.86/1.10 (define @t516 () (tptp.multiply @t130 @t12)) % 0.86/1.10 (define @t517 () (tptp.multiply @t195 @t516)) % 0.86/1.10 (define @t518 () (tptp.multiply @t195 @t130)) % 0.86/1.10 (define @t519 () (= (tptp.multiply @t518 @t12) @t517)) % 0.86/1.10 (define @t520 () (tptp.multiply @t430 @t195)) % 0.86/1.10 (define @t521 () (= @t520 (tptp.multiply @t429 @t221))) % 0.86/1.10 (define @t522 () (tptp.multiply tptp.sk_c4 @t207)) % 0.86/1.10 (define @t523 () (tptp.multiply @t522 @t135)) % 0.86/1.10 (define @t524 () (= @t523 (tptp.multiply tptp.sk_c4 @t451))) % 0.86/1.10 (define @t525 () (tptp.multiply @t214 tptp.sk_c8)) % 0.86/1.10 (define @t526 () (tptp.multiply @t358 @t525)) % 0.86/1.10 (define @t527 () (= (tptp.multiply (tptp.multiply @t358 @t214) tptp.sk_c8) @t526)) % 0.86/1.10 (define @t528 () (tptp.multiply @t367 @t221)) % 0.86/1.10 (define @t529 () (= @t528 (tptp.multiply @t203 @t222))) % 0.86/1.10 (define @t530 () (tptp.multiply @t54 @t207)) % 0.86/1.10 (define @t531 () (tptp.multiply @t530 @t135)) % 0.86/1.10 (define @t532 () (= @t531 (tptp.multiply @t54 @t451))) % 0.86/1.10 (define @t533 () (tptp.multiply tptp.sk_c8 @t205)) % 0.86/1.10 (define @t534 () (tptp.multiply @t533 @t218)) % 0.86/1.10 (define @t535 () (= @t534 (tptp.multiply tptp.sk_c8 @t277))) % 0.86/1.10 (define @t536 () (tptp.multiply @t195 @t451)) % 0.86/1.10 (define @t537 () (= (tptp.multiply @t307 @t135) @t536)) % 0.86/1.10 (define @t538 () (tptp.multiply tptp.sk_c4 @t277)) % 0.86/1.10 (define @t539 () (= (tptp.multiply (tptp.multiply tptp.sk_c4 @t205) @t218) @t538)) % 0.86/1.10 (define @t540 () (tptp.multiply @t130 @t277)) % 0.86/1.10 (define @t541 () (= (tptp.multiply (tptp.multiply @t130 @t205) @t218) @t540)) % 0.86/1.10 (define @t542 () (tptp.multiply @t195 @t367)) % 0.86/1.10 (define @t543 () (= @t542 (tptp.multiply tptp.sk_c9 (tptp.multiply @t130 @t367)))) % 0.86/1.10 (define @t544 () (tptp.multiply tptp.sk_c1 @t367)) % 0.86/1.10 (define @t545 () (tptp.multiply tptp.sk_c9 @t544)) % 0.86/1.10 (define @t546 () (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.sk_c1) @t367) @t545)) % 0.86/1.10 (define @t547 () (tptp.multiply @t441 @t400)) % 0.86/1.10 (define @t548 () (= (tptp.multiply (tptp.multiply @t441 tptp.identity) @t193) @t547)) % 0.86/1.10 (define @t549 () (tptp.multiply @t447 @t277)) % 0.86/1.10 (define @t550 () (= (tptp.multiply (tptp.multiply @t447 @t205) @t218) @t549)) % 0.86/1.10 (define @t551 () (tptp.multiply @t221 @t12)) % 0.86/1.10 (define @t552 () (tptp.multiply @t389 @t130)) % 0.86/1.10 (define @t553 () (tptp.multiply tptp.sk_c9 @t214)) % 0.86/1.10 (define @t554 () (tptp.multiply @t12 @t214)) % 0.86/1.10 (define @t555 () (tptp.multiply @t214 tptp.sk_c9)) % 0.86/1.10 (define @t556 () (tptp.multiply @t518 tptp.sk_c9)) % 0.86/1.10 (define @t557 () (tptp.multiply tptp.sk_c8 @t134)) % 0.86/1.10 (define @t558 () (tptp.multiply @t427 @t135)) % 0.86/1.10 (define @t559 () (tptp.multiply @t206 tptp.sk_c9)) % 0.86/1.10 (define @t560 () (and @t100 @t341 @t95 @t343 @t94 @t96 @t98 @t136 @t132 @t359 @t449 @t450 @t239 @t241 @t244 @t199 @t246 @t388 @t452 @t249 @t454 @t251 @t253 @t256 @t262 @t265 @t211 @t457 @t460 @t267 @t463 @t466 @t270 @t469 @t472 @t474 @t476 @t401 @t478 @t273 @t276 @t279 @t280 @t480 @t483 @t434 @t282 @t485 @t284 @t487 @t490 @t493 @t495 @t498 @t405 @t500 @t501 @t287 @t503 @t505 @t507 @t228 @t509 @t511 @t513 @t515 @t519 @t233 @t521 @t237 @t524 @t527 @t529 @t532 @t535 @t537 @t539 @t541 @t543 @t546 @t440 @t548 @t446 @t550)) % 0.86/1.10 (define @t561 () (not @t423)) % 0.86/1.10 (define @t562 () (not @t410)) % 0.86/1.10 (define @t563 () (or @t562 @t357)) % 0.86/1.10 (define @t564 () (@list true)) % 0.86/1.10 (define @t565 () (= tptp.sk_c8 @t377)) % 0.86/1.10 (define @t566 () (not @t565)) % 0.86/1.10 (define @t567 () (or @t566 @t415)) % 0.86/1.10 (define @t568 () (and @t343 @t364)) % 0.86/1.10 (define @t569 () (not @t567)) % 0.86/1.10 (define @t570 () (@list @t128)) % 0.86/1.10 (define @t571 () (@list @t98)) % 0.86/1.10 (assume @p1 @t4) % 0.86/1.10 (assume @p2 @t6) % 0.86/1.10 (assume @p3 @t9) % 0.86/1.10 (assume @p4 @t14) % 0.86/1.10 (assume @p5 @t17) % 0.86/1.10 (assume @p6 @t20) % 0.86/1.10 (assume @p7 @t23) % 0.86/1.10 (assume @p8 @t26) % 0.86/1.10 (assume @p9 @t29) % 0.86/1.10 (assume @p10 @t32) % 0.86/1.10 (assume @p11 @t33) % 0.86/1.10 (assume @p12 @t34) % 0.86/1.10 (assume @p13 @t35) % 0.86/1.10 (assume @p14 @t36) % 0.86/1.10 (assume @p15 @t37) % 0.86/1.10 (assume @p16 @t40) % 0.86/1.10 (assume @p17 @t41) % 0.86/1.10 (assume @p18 @t42) % 0.86/1.10 (assume @p19 @t43) % 0.86/1.10 (assume @p20 @t44) % 0.86/1.10 (assume @p21 @t45) % 0.86/1.10 (assume @p22 @t48) % 0.86/1.10 (assume @p23 @t49) % 0.86/1.10 (assume @p24 @t50) % 0.86/1.10 (assume @p25 @t51) % 0.86/1.10 (assume @p26 @t52) % 0.86/1.10 (assume @p27 @t53) % 0.86/1.10 (assume @p28 @t56) % 0.86/1.10 (assume @p29 @t57) % 0.86/1.10 (assume @p30 @t58) % 0.86/1.10 (assume @p31 @t59) % 0.86/1.10 (assume @p32 @t60) % 0.86/1.10 (assume @p33 @t61) % 0.86/1.10 (assume @p34 @t93) % 0.86/1.10 (step @p35 :rule eq-symm :args (@t18 tptp.sk_c9)) % 0.86/1.10 (step @p36 :rule eq-symm :args (@t12 tptp.sk_c9)) % 0.86/1.10 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t20)) % 0.86/1.10 (step @p38 :rule eq_resolve :premises (@p6 @p37)) % 0.86/1.10 (step @p39 :rule eq-symm :args (@t30 tptp.sk_c9)) % 0.86/1.10 (step @p40 :rule nary_cong :premises (@p39 @p35) :args (@t34)) % 0.86/1.10 (step @p41 :rule eq_resolve :premises (@p12 @p40)) % 0.86/1.10 (step @p42 :rule reordering :premises (@p41) :args ((or @t95 @t94))) % 0.86/1.10 (step @p43 :rule eq-symm :args (@t38 tptp.sk_c8)) % 0.86/1.10 (step @p44 :rule nary_cong :premises (@p43 @p35) :args (@t42)) % 0.86/1.10 (step @p45 :rule eq_resolve :premises (@p18 @p44)) % 0.86/1.10 (step @p46 :rule reordering :premises (@p45) :args ((or @t95 @t96))) % 0.86/1.10 (step @p47 :rule eq-symm :args (@t46 tptp.sk_c3)) % 0.86/1.10 (step @p48 :rule nary_cong :premises (@p47 @p35) :args (@t50)) % 0.86/1.10 (step @p49 :rule eq_resolve :premises (@p24 @p48)) % 0.86/1.10 (step @p50 :rule reordering :premises (@p49) :args ((or @t95 @t97))) % 0.86/1.10 (step @p51 :rule eq-symm :args (@t54 tptp.sk_c9)) % 0.86/1.10 (step @p52 :rule nary_cong :premises (@p51 @p35) :args (@t58)) % 0.86/1.10 (step @p53 :rule eq_resolve :premises (@p30 @p52)) % 0.86/1.10 (step @p54 :rule reordering :premises (@p53) :args ((or @t95 @t98))) % 0.86/1.10 (step @p55 :rule cnf_or_pos :args (@t102)) % 0.86/1.10 (step @p56 :rule reordering :premises (@p55) :args ((or @t101 @t99 (not @t102)))) % 0.86/1.10 (assume-push @p2054 @t96) % 0.86/1.10 (assume-push @p2055 @t97) % 0.86/1.10 (assume-push @p2056 @t97) % 0.86/1.10 (assume-push @p2057 @t96) % 0.86/1.10 (step @p61 :rule refl :args (tptp.sk_c9)) % 0.86/1.10 (step @p62 :rule cong :premises (@p61 @p2055) :args (@t38)) % 0.86/1.10 (step @p63 :rule trans :premises (@p2054 @p62)) % 0.86/1.10 (step-pop @p2058 :rule scope :premises (@p63)) % 0.86/1.10 (step-pop @p2059 :rule scope :premises (@p2058)) % 0.86/1.10 (step @p64 :rule process_scope :premises (@p2059) :args (@t103)) % 0.86/1.10 (step @p67 :rule and_intro :premises (@p2055 @p2054)) % 0.86/1.10 (step @p68 :rule modus_ponens :premises (@p67 @p64)) % 0.86/1.10 (step-pop @p2060 :rule scope :premises (@p68)) % 0.86/1.10 (step-pop @p2061 :rule scope :premises (@p2060)) % 0.86/1.10 (step @p69 :rule process_scope :premises (@p2061) :args (@t103)) % 0.86/1.10 (step @p72 :rule implies_elim :premises (@p69)) % 0.86/1.10 (step @p73 :rule cnf_and_neg :args (@t104)) % 0.86/1.10 (step @p74 :rule resolution :premises (@p73 @p72) :args (true @t104)) % 0.86/1.10 (assume-push @p2062 @t108) % 0.86/1.10 (step @p76 :rule instantiate :premises (@p2062) :args (@t109)) % 0.86/1.10 (step-pop @p2063 :rule scope :premises (@p76)) % 0.86/1.10 (step @p77 :rule process_scope :premises (@p2063) :args (@t102)) % 0.86/1.10 (step @p79 :rule implies_elim :premises (@p77)) % 0.86/1.10 (step @p80 :rule cnf_or_pos :args (@t112)) % 0.86/1.10 (step @p81 :rule reordering :premises (@p80) :args ((or @t110 @t111 @t113))) % 0.86/1.10 (step @p82 :rule refl :args (@t122)) % 0.86/1.10 (step @p83 :rule bool-double-not-elim :args (@t108)) % 0.86/1.10 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t123) @t122))) % 0.86/1.10 (assume-push @p2064 @t123) % 0.86/1.10 (step @p86 :rule skolemize :premises (@p2064)) % 0.86/1.10 (step-pop @p2065 :rule scope :premises (@p86)) % 0.86/1.10 (step @p87 :rule process_scope :premises (@p2065) :args (@t122)) % 0.86/1.10 (step @p89 :rule implies_elim :premises (@p87)) % 0.86/1.10 (step @p90 :rule eq_resolve :premises (@p89 @p84)) % 0.86/1.10 (assume-push @p2066 @t128) % 0.86/1.10 (step @p92 :rule instantiate :premises (@p2066) :args (@t129)) % 0.86/1.10 (step-pop @p2067 :rule scope :premises (@p92)) % 0.86/1.10 (step @p93 :rule process_scope :premises (@p2067) :args (@t112)) % 0.86/1.10 (step @p95 :rule implies_elim :premises (@p93)) % 0.86/1.10 (step @p96 :rule bool-double-not-elim :args (@t119)) % 0.86/1.10 (step @p97 :rule refl :args (@t121)) % 0.86/1.10 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t121 (not @t120)))) % 0.86/1.10 (step @p99 :rule cnf_or_neg :args (@t121 0)) % 0.86/1.10 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.86/1.10 (step @p101 :rule reordering :premises (@p100) :args ((or @t119 @t121))) % 0.86/1.10 (step @p102 :rule bool-double-not-elim :args (@t116)) % 0.86/1.10 (step @p103 :rule nary_cong :premises (@p97 @p102) :args ((or @t121 (not @t117)))) % 0.86/1.10 (step @p104 :rule cnf_or_neg :args (@t121 1)) % 0.86/1.10 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.86/1.10 (step @p106 :rule reordering :premises (@p105) :args ((or @t116 @t121))) % 0.86/1.10 (step @p107 :rule alpha_equiv :args (@t128 (@list @t78) (@list @t62))) % 0.86/1.10 (step @p108 :rule equiv_elim2 :premises (@p107)) % 0.86/1.10 (step @p109 :rule refl :args (@t139)) % 0.86/1.10 (step @p110 :rule bool-double-not-elim :args (@t128)) % 0.86/1.10 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or (not @t140) @t139))) % 0.86/1.10 (assume-push @p2068 @t140) % 0.86/1.10 (step @p113 :rule skolemize :premises (@p2068)) % 0.86/1.10 (step-pop @p2069 :rule scope :premises (@p113)) % 0.86/1.10 (step @p114 :rule process_scope :premises (@p2069) :args (@t139)) % 0.86/1.10 (step @p116 :rule implies_elim :premises (@p114)) % 0.86/1.10 (step @p117 :rule eq_resolve :premises (@p116 @p111)) % 0.86/1.10 (step @p118 :rule aci_norm :args ((= (or @t142 false @t141) @t143))) % 0.86/1.10 (step @p119 :rule refl :args (@t141)) % 0.86/1.10 (step @p120 :rule evaluate :args ((not true))) % 0.86/1.10 (step @p121 :rule eq-refl :args (@t66)) % 0.86/1.10 (step @p122 :rule cong :premises (@p121) :args (@t144)) % 0.86/1.10 (step @p123 :rule trans :premises (@p122 @p120)) % 0.86/1.10 (step @p124 :rule refl :args (@t142)) % 0.86/1.10 (step @p125 :rule nary_cong :premises (@p124 @p123 @p119) :args (@t145)) % 0.86/1.10 (step @p126 :rule trans :premises (@p125 @p118)) % 0.86/1.10 (step @p127 :rule cong :premises (@p126) :args ((forall @t146 @t145))) % 0.86/1.10 (step @p128 :rule quant-var-elim-eq :args ((= (forall @t150 @t149) @t145))) % 0.86/1.10 (step @p129 :rule aci_norm :args ((= @t151 @t149))) % 0.86/1.10 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@p798 @p223 @p797 @p742 @p760 @p1033 @p1031 @p1029 @p1027) :args ((or @t100 @t352 @t416 @t137 @t360 @t410) (@list true 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) (@list @t185 @t361 @t350 @t356 @t408 @t405 @t401 @t217 @t375 @t211 @t399 @t397 @t249 @t395 @t392 @t388 @t246 @t386 @t199 @t383 @t380 @t241 @t376 @t344 @t346 @t365 @t364 @t342 @t341))) % 0.86/1.10 (step @p1035 :rule nary_cong :premises (@p47 @p789) :args (@t52)) % 0.86/1.10 (step @p1036 :rule eq_resolve :premises (@p26 @p1035)) % 0.86/1.10 (step @p1037 :rule reordering :premises (@p1036) :args ((or @t364 @t97))) % 0.86/1.10 (step @p1038 :rule nary_cong :premises (@p47 @p793) :args (@t53)) % 0.86/1.10 (step @p1039 :rule eq_resolve :premises (@p27 @p1038)) % 0.86/1.10 (step @p1040 :rule reordering :premises (@p1039) :args ((or @t365 @t97))) % 0.86/1.10 (step @p1041 :rule chain_m_resolution :premises (@p1023 @p817 @p816 @p815 @p266 @p814 @p255 @p805 @p804 @p240 @p803 @p802 @p801 @p238 @p800 @p234 @p799 @p798 @p223 @p797 @p1040 @p1037) :args ((or @t97 @t416 @t137 @t360 @t357 @t410) @t417 @t418)) % 0.86/1.10 (step @p1042 :rule nary_cong :premises (@p39 @p789) :args (@t36)) % 0.86/1.10 (step @p1043 :rule eq_resolve :premises (@p14 @p1042)) % 0.86/1.10 (step @p1044 :rule reordering :premises (@p1043) :args ((or @t364 @t94))) % 0.86/1.10 (step @p1045 :rule nary_cong :premises (@p39 @p793) :args (@t37)) % 0.86/1.10 (step @p1046 :rule eq_resolve :premises (@p15 @p1045)) % 0.86/1.10 (step @p1047 :rule reordering :premises (@p1046) :args ((or @t365 @t94))) % 0.86/1.10 (step @p1048 :rule chain_m_resolution :premises (@p1023 @p817 @p816 @p815 @p266 @p814 @p255 @p805 @p804 @p240 @p803 @p802 @p801 @p238 @p800 @p234 @p799 @p798 @p223 @p797 @p1047 @p1044) :args ((or @t94 @t416 @t137 @t360 @t357 @t410) @t417 @t418)) % 0.86/1.10 (step @p1049 :rule chain_m_resolution :premises (@p108 @p207 @p95 @p79 @p81 @p56 @p74 @p1048 @p1041 @p788 @p777) :args ((or @t185 @t101 @t416 @t336 @t110 @t137 @t360 @t410) (@list false true true true true false false false false true) (@list @t340 @t128 @t108 @t112 @t102 @t103 @t94 @t97 @t356 @t361))) % 0.86/1.10 (assume-push @p2442 @t185) % 0.86/1.10 (step @p1051 :rule instantiate :premises (@p2442) :args (@t109)) % 0.86/1.10 (step-pop @p2443 :rule scope :premises (@p1051)) % 0.86/1.10 (step @p1052 :rule process_scope :premises (@p2443) :args (@t423)) % 0.86/1.10 (step @p1054 :rule implies_elim :premises (@p1052)) % 0.86/1.10 (step @p1055 :rule nary_cong :premises (@p39 @p717) :args (@t33)) % 0.86/1.10 (step @p1056 :rule eq_resolve :premises (@p11 @p1055)) % 0.86/1.10 (step @p1057 :rule reordering :premises (@p1056) :args ((or @t342 @t94))) % 0.86/1.10 (step @p1058 :rule nary_cong :premises (@p47 @p717) :args (@t49)) % 0.86/1.10 (step @p1059 :rule eq_resolve :premises (@p23 @p1058)) % 0.86/1.10 (step @p1060 :rule reordering :premises (@p1059) :args ((or @t342 @t97))) % 0.86/1.10 (step @p1061 :rule nary_cong :premises (@p51 @p717) :args (@t57)) % 0.86/1.10 (step @p1062 :rule eq_resolve :premises (@p29 @p1061)) % 0.86/1.10 (step @p1063 :rule reordering :premises (@p1062) :args ((or @t342 @t98))) % 0.86/1.10 (step @p1064 :rule chain_m_resolution :premises (@p81 @p74 @p1063 @p1060 @p720) :args ((or @t342 @t113) @t424 (@list @t103 @t98 @t97 @t96))) % 0.86/1.10 (assume-push @p2444 @t100) % 0.86/1.10 (assume-push @p2445 @t341) % 0.86/1.10 (assume-push @p2446 @t94) % 0.86/1.10 (assume-push @p2447 @t136) % 0.86/1.10 (assume-push @p2448 @t132) % 0.86/1.10 (assume-push @p2449 @t239) % 0.86/1.10 (assume-push @p2450 @t241) % 0.86/1.10 (assume-push @p2451 @t244) % 0.86/1.10 (assume-push @p2452 @t199) % 0.86/1.10 (assume-push @p2453 @t246) % 0.86/1.10 (assume-push @p2454 @t279) % 0.86/1.10 (assume-push @p2455 @t282) % 0.86/1.10 (assume-push @p2456 @t100) % 0.86/1.10 (assume-push @p2457 @t341) % 0.86/1.10 (assume-push @p2458 @t246) % 0.86/1.10 (assume-push @p2459 @t241) % 0.86/1.10 (assume-push @p2460 @t239) % 0.86/1.10 (assume-push @p2461 @t282) % 0.86/1.10 (assume-push @p2462 @t132) % 0.86/1.10 (assume-push @p2463 @t94) % 0.86/1.10 (assume-push @p2464 @t136) % 0.86/1.10 (assume-push @p2465 @t244) % 0.86/1.10 (assume-push @p2466 @t279) % 0.86/1.10 (assume-push @p2467 @t199) % 0.86/1.10 (step @p416 :rule refl :args (tptp.sk_c1)) % 0.86/1.10 (step @p1089 :rule cong :premises (@p416 @p2444) :args (@t205)) % 0.86/1.10 (step @p1090 :rule symm :premises (@p2445)) % 0.86/1.10 (step @p1091 :rule cong :premises (@p416 @p1090) :args (@t425)) % 0.86/1.10 (step @p436 :rule symm :premises (@p238)) % 0.86/1.10 (step @p61 :rule refl :args (tptp.sk_c9)) % 0.86/1.10 (step @p430 :rule symm :premises (@p223)) % 0.86/1.10 (step @p387 :rule symm :premises (@p222)) % 0.86/1.10 (step @p425 :rule symm :premises (@p271)) % 0.86/1.10 (step @p428 :rule refl :args (@t131)) % 0.86/1.10 (step @p634 :rule cong :premises (@p428 @p425) :args (@t304)) % 0.86/1.10 (step @p1092 :rule cong :premises (@p2448 @p271) :args (@t195)) % 0.86/1.10 (step @p390 :rule refl :args (@t130)) % 0.86/1.10 (step @p1093 :rule symm :premises (@p2446)) % 0.86/1.10 (step @p1094 :rule symm :premises (@p2447)) % 0.86/1.10 (step @p1095 :rule cong :premises (@p416 @p1094) :args (@t242)) % 0.86/1.10 (step @p1096 :rule trans :premises (@p224 @p1095 @p1093)) % 0.86/1.10 (step @p1097 :rule cong :premises (@p1096 @p390) :args (@t278)) % 0.86/1.10 (step @p641 :rule symm :premises (@p269)) % 0.86/1.10 (step @p1098 :rule trans :premises (@p641 @p1097 @p1092 @p634 @p387 @p223)) % 0.86/1.10 (step @p1099 :rule symm :premises (@p1097)) % 0.86/1.10 (step @p1100 :rule trans :premises (@p1099 @p269)) % 0.86/1.10 (step @p1101 :rule trans :premises (@p1100 @p1098 @p430)) % 0.86/1.10 (step @p1102 :rule cong :premises (@p1101 @p61) :args (@t196)) % 0.86/1.10 (step @p1103 :rule trans :premises (@p234 @p1102 @p436 @p2445)) % 0.86/1.10 (step @p1104 :rule cong :premises (@p416 @p1103) :args (@t242)) % 0.86/1.10 (step @p1105 :rule symm :premises (@p1095)) % 0.86/1.10 (step @p1106 :rule trans :premises (@p2446 @p1105 @p1104 @p1091 @p1089)) % 0.86/1.10 (step-pop @p2468 :rule scope :premises (@p1106)) % 0.86/1.10 (step-pop @p2469 :rule scope :premises (@p2468)) % 0.86/1.10 (step-pop @p2470 :rule scope :premises (@p2469)) % 0.86/1.10 (step-pop @p2471 :rule scope :premises (@p2470)) % 0.86/1.10 (step-pop @p2472 :rule scope :premises (@p2471)) % 0.86/1.10 (step-pop @p2473 :rule scope :premises (@p2472)) % 0.86/1.10 (step-pop @p2474 :rule scope :premises (@p2473)) % 0.86/1.10 (step-pop @p2475 :rule scope :premises (@p2474)) % 0.86/1.10 (step-pop @p2476 :rule scope :premises (@p2475)) % 0.86/1.10 (step-pop @p2477 :rule scope :premises (@p2476)) % 0.86/1.10 (step-pop @p2478 :rule scope :premises (@p2477)) % 0.86/1.10 (step-pop @p2479 :rule scope :premises (@p2478)) % 0.86/1.10 (step @p1107 :rule process_scope :premises (@p2479) :args (@t421)) % 0.86/1.10 (step @p1120 :rule and_intro :premises (@p2444 @p2445 @p238 @p223 @p222 @p271 @p2448 @p2446 @p2447 @p224 @p269 @p234)) % 0.86/1.10 (step @p1121 :rule modus_ponens :premises (@p1120 @p1107)) % 0.86/1.10 (step-pop @p2480 :rule scope :premises (@p1121)) % 0.86/1.10 (step-pop @p2481 :rule scope :premises (@p2480)) % 0.86/1.10 (step-pop @p2482 :rule scope :premises (@p2481)) % 0.86/1.10 (step-pop @p2483 :rule scope :premises (@p2482)) % 0.86/1.10 (step-pop @p2484 :rule scope :premises (@p2483)) % 0.86/1.10 (step-pop @p2485 :rule scope :premises (@p2484)) % 0.86/1.10 (step-pop @p2486 :rule scope :premises (@p2485)) % 0.86/1.10 (step-pop @p2487 :rule scope :premises (@p2486)) % 0.86/1.10 (step-pop @p2488 :rule scope :premises (@p2487)) % 0.86/1.10 (step-pop @p2489 :rule scope :premises (@p2488)) % 0.86/1.10 (step-pop @p2490 :rule scope :premises (@p2489)) % 0.86/1.10 (step-pop @p2491 :rule scope :premises (@p2490)) % 0.86/1.10 (step @p1122 :rule process_scope :premises (@p2491) :args (@t421)) % 0.86/1.10 (step @p1135 :rule implies_elim :premises (@p1122)) % 0.86/1.10 (step @p1136 :rule cnf_and_neg :args (@t426)) % 0.86/1.10 (step @p1137 :rule resolution :premises (@p1136 @p1135) :args (true @t426)) % 0.86/1.10 (step @p1138 :rule reordering :premises (@p1137) :args ((or @t101 @t353 @t99 @t137 @t133 @t335 @t334 @t333 @t332 @t331 @t421 @t317 @t315))) % 0.86/1.10 (step @p1139 :rule instantiate :premises (@p221) :args (@t109)) % 0.86/1.10 (step @p1140 :rule instantiate :premises (@p221) :args (@t129)) % 0.86/1.10 (step @p1141 :rule instantiate :premises (@p3) :args ((@list @t195 @t203 @t135))) % 0.86/1.10 (step @p1142 :rule instantiate :premises (@p237) :args ((@list @t384))) % 0.86/1.10 (step @p1143 :rule instantiate :premises (@p3) :args ((@list @t130 tptp.sk_c8 tptp.sk_c3))) % 0.86/1.10 (step @p1144 :rule instantiate :premises (@p3) :args ((@list @t130 tptp.sk_c8 tptp.sk_c7))) % 0.86/1.10 (step @p1145 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c4 @t195 tptp.sk_c9))) % 0.86/1.10 (step @p1146 :rule instantiate :premises (@p3) :args ((@list @t203 @t195 tptp.sk_c9))) % 0.86/1.10 (step @p1147 :rule instantiate :premises (@p3) :args ((@list @t205 @t195 tptp.sk_c9))) % 0.86/1.10 (step @p1148 :rule instantiate :premises (@p3) :args ((@list @t427 @t195 tptp.sk_c9))) % 0.86/1.10 (step @p1149 :rule instantiate :premises (@p3) :args ((@list @t428 @t195 tptp.sk_c9))) % 0.86/1.10 (step @p1150 :rule instantiate :premises (@p3) :args ((@list @t134 @t130 tptp.sk_c8))) % 0.86/1.10 (step @p1151 :rule instantiate :premises (@p237) :args ((@list @t368))) % 0.86/1.10 (step @p1152 :rule instantiate :premises (@p3) :args ((@list @t193 @t203 @t203))) % 0.86/1.10 (step @p1153 :rule instantiate :premises (@p3) :args ((@list @t195 @t368 @t203))) % 0.86/1.10 (step @p1154 :rule eq-symm :args (@t430 @t431)) % 0.86/1.10 (step @p1155 :rule cong :premises (@p226 @p1154) :args ((=> @t9 @t432))) % 0.86/1.10 (assume-push @p2492 @t9) % 0.86/1.10 (step @p1157 :rule instantiate :premises (@p3) :args (@t433)) % 0.86/1.10 (step-pop @p2493 :rule scope :premises (@p1157)) % 0.86/1.10 (step @p1158 :rule process_scope :premises (@p2493) :args (@t432)) % 0.86/1.10 (step @p1160 :rule eq_resolve :premises (@p1158 @p1155)) % 0.86/1.10 (step @p1161 :rule implies_elim :premises (@p1160)) % 0.86/1.10 (step @p1162 :rule chain_m_resolution :premises (@p1161 @p3) :args (@t434 @t200 @t201)) % 0.86/1.10 (step @p1163 :rule instantiate :premises (@p221) :args (@t202)) % 0.86/1.10 (step @p1164 :rule instantiate :premises (@p3) :args ((@list @t431 tptp.sk_c9 @t130))) % 0.86/1.10 (step @p1165 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c1 @t203 @t12))) % 0.86/1.10 (step @p1166 :rule instantiate :premises (@p3) :args ((@list @t130 @t203 @t12))) % 0.86/1.10 (step @p1167 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 @t206 @t12))) % 0.86/1.10 (step @p1168 :rule instantiate :premises (@p3) :args ((@list @t12 @t435 @t193))) % 0.86/1.10 (step @p1169 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c5 tptp.sk_c8 @t206))) % 0.86/1.10 (step @p1170 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c1 tptp.sk_c8 @t206))) % 0.86/1.10 (step @p1171 :rule instantiate :premises (@p3) :args ((@list tptp.identity @t130 tptp.sk_c9))) % 0.86/1.10 (step @p1172 :rule instantiate :premises (@p3) :args ((@list tptp.identity @t368 @t203))) % 0.86/1.10 (step @p1173 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c4 @t203 @t196))) % 0.86/1.10 (step @p1174 :rule instantiate :premises (@p3) :args ((@list @t221 tptp.sk_c9 tptp.sk_c3))) % 0.86/1.10 (step @p1175 :rule instantiate :premises (@p3) :args ((@list @t221 tptp.sk_c9 @t134))) % 0.86/1.10 (step @p1176 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c4 tptp.sk_c5 @t214))) % 0.86/1.10 (step @p1177 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c4 tptp.sk_c5 @t303))) % 0.86/1.10 (step @p1178 :rule instantiate :premises (@p3) :args ((@list @t195 @t130 @t12))) % 0.86/1.10 (step @p1179 :rule instantiate :premises (@p3) :args ((@list @t429 @t130 @t195))) % 0.86/1.10 (step @p1180 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c4 @t207 @t135))) % 0.86/1.10 (step @p1181 :rule instantiate :premises (@p3) :args ((@list @t358 @t214 tptp.sk_c8))) % 0.86/1.10 (step @p1182 :rule instantiate :premises (@p3) :args ((@list @t203 tptp.sk_c9 @t221))) % 0.86/1.10 (step @p1183 :rule instantiate :premises (@p3) :args ((@list @t54 @t207 @t135))) % 0.86/1.10 (step @p1184 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 @t205 @t218))) % 0.86/1.10 (step @p1185 :rule instantiate :premises (@p3) :args ((@list @t195 @t207 @t135))) % 0.86/1.10 (step @p1186 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c4 @t205 @t218))) % 0.86/1.10 (step @p1187 :rule instantiate :premises (@p3) :args ((@list @t130 @t205 @t218))) % 0.86/1.10 (step @p1188 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c9 @t130 @t367))) % 0.86/1.10 (step @p1189 :rule instantiate :premises (@p3) 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@t253 @t251 @t249 @t248 @t246 @t199 @t244 @t241 @t239 @t191 @t132 @t185 @t138 @t340 @t116 @t119 @t128 @t121 @t112 @t108 @t103 @t102 @t97 @t94 @t100 @t343 @t96))) % 0.86/1.10 (step @p1983 :rule nary_cong :premises (@p51 @p721) :args (@t59)) % 0.86/1.10 (step @p1984 :rule eq_resolve :premises (@p31 @p1983)) % 0.86/1.10 (step @p1985 :rule reordering :premises (@p1984) :args ((or @t343 @t98))) % 0.86/1.10 (step @p1986 :rule nary_cong :premises (@p51 @p789) :args (@t60)) % 0.86/1.10 (step @p1987 :rule eq_resolve :premises (@p32 @p1986)) % 0.86/1.10 (step @p1988 :rule reordering :premises (@p1987) :args ((or @t364 @t98))) % 0.86/1.10 (step @p1989 :rule nary_cong :premises (@p51 @p793) :args (@t61)) % 0.86/1.10 (step @p1990 :rule eq_resolve :premises (@p33 @p1989)) % 0.86/1.10 (step @p1991 :rule reordering :premises (@p1990) :args ((or @t365 @t98))) % 0.86/1.10 (step @p1992 :rule nary_cong :premises (@p51 @p713) :args (@t56)) % 0.86/1.10 (step @p1993 :rule eq_resolve :premises (@p28 @p1992)) % 0.86/1.10 (step @p1994 :rule reordering :premises (@p1993) :args ((or @t341 @t98))) % 0.86/1.10 (step @p1995 :rule chain_m_resolution :premises (@p763 @p1063 @p1994) :args ((or @t98 @t352 @t351) @t354 (@list @t342 @t341))) % 0.86/1.10 (step @p1996 :rule chain_m_resolution :premises (@p777 @p788 @p768 @p1023 @p817 @p816 @p815 @p266 @p814 @p255 @p805 @p804 @p240 @p803 @p802 @p801 @p238 @p800 @p234 @p799 @p798 @p223 @p797 @p1995 @p1991 @p1988 @p1985 @p1982) :args ((or @t352 @t137 @t360 @t410) (@list false true true false false false false false false false false false false false false false false false false false false false true false false false true) (@list @t361 @t185 @t356 @t408 @t405 @t401 @t217 @t375 @t211 @t399 @t397 @t249 @t395 @t392 @t388 @t246 @t386 @t199 @t383 @t380 @t241 @t376 @t350 @t365 @t364 @t343 @t98))) % 0.86/1.10 (step @p1997 :rule chain_m_resolution :premises (@p1972 @p74 @p763 @p81 @p1064 @p1995) :args ((or @t352 @t336 @t351 @t113) (@list true true true false false) (@list @t97 @t341 @t103 @t342 @t98))) % 0.86/1.10 (step @p1998 :rule chain_m_resolution :premises (@p711 @p709 @p294 @p285 @p275 @p274 @p271 @p270 @p269 @p267 @p257 @p256 @p244 @p238 @p234 @p224 @p223 @p222 @p590 @p305 @p304 @p303 @p294 @p285 @p276 @p275 @p274 @p273 @p272 @p271 @p270 @p269 @p268 @p267 @p266 @p257 @p256 @p255 @p246 @p245 @p244 @p243 @p242 @p241 @p240 @p239 @p238 @p234 @p224 @p223 @p222 @p106 @p101 @p90 @p79 @p56 @p1969 @p1027) :args ((or @t341 @t336 @t137 @t133 @t339) (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true true true false false) (@list @t189 @t233 @t228 @t290 @t287 @t282 @t280 @t279 @t273 @t270 @t267 @t259 @t246 @t199 @t244 @t241 @t239 @t187 @t299 @t296 @t237 @t233 @t228 @t294 @t290 @t287 @t286 @t284 @t282 @t280 @t279 @t276 @t273 @t217 @t270 @t267 @t211 @t265 @t262 @t259 @t256 @t253 @t251 @t249 @t248 @t246 @t199 @t244 @t241 @t239 @t116 @t119 @t121 @t108 @t102 @t94 @t100))) % 0.86/1.10 (step @p1999 :rule chain_m_resolution :premises (@p711 @p709 @p294 @p285 @p275 @p274 @p271 @p270 @p269 @p267 @p257 @p256 @p244 @p238 @p234 @p224 @p223 @p222 @p590 @p305 @p304 @p303 @p294 @p285 @p276 @p275 @p274 @p273 @p272 @p271 @p270 @p269 @p268 @p267 @p266 @p257 @p256 @p255 @p246 @p245 @p244 @p243 @p242 @p241 @p240 @p239 @p238 @p234 @p224 @p223 @p222 @p106 @p101 @p90 @p79 @p56 @p1057 @p1029 @p763 @p1998 @p213 @p117 @p95 @p1997 @p218 @p768 @p777 @p783 @p1996 @p1025) :args ((or @t352 @t137 @t410) (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true true true false false true false false true true true false false false false true false) (@list @t189 @t233 @t228 @t290 @t287 @t282 @t280 @t279 @t273 @t270 @t267 @t259 @t246 @t199 @t244 @t241 @t239 @t187 @t299 @t296 @t237 @t233 @t228 @t294 @t290 @t287 @t286 @t284 @t282 @t280 @t279 @t276 @t273 @t217 @t270 @t267 @t211 @t265 @t262 @t259 @t256 @t253 @t251 @t249 @t248 @t246 @t199 @t244 @t241 @t239 @t116 @t119 @t121 @t108 @t102 @t94 @t100 @t342 @t341 @t132 @t138 @t128 @t112 @t191 @t350 @t185 @t361 @t359 @t96))) % 0.86/1.10 (step @p2000 :rule chain_m_resolution :premises (@p711 @p709 @p294 @p285 @p275 @p274 @p271 @p270 @p269 @p267 @p257 @p256 @p244 @p238 @p234 @p224 @p223 @p222 @p590 @p305 @p304 @p303 @p294 @p285 @p276 @p275 @p274 @p273 @p272 @p271 @p270 @p269 @p268 @p267 @p266 @p257 @p256 @p255 @p246 @p245 @p244 @p243 @p242 @p241 @p240 @p239 @p238 @p234 @p224 @p223 @p222 @p106 @p101 @p90 @p79 @p56 @p1057 @p1029 @p763 @p1998 @p213 @p117 @p95 @p1997 @p218 @p768 @p712) :args ((or @t336 @t363 @t137) (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true true true false false true false false true true true false false false) (@list @t189 @t233 @t228 @t290 @t287 @t282 @t280 @t279 @t273 @t270 @t267 @t259 @t246 @t199 @t244 @t241 @t239 @t187 @t299 @t296 @t237 @t233 @t228 @t294 @t290 @t287 @t286 @t284 @t282 @t280 @t279 @t276 @t273 @t217 @t270 @t267 @t211 @t265 @t262 @t259 @t256 @t253 @t251 @t249 @t248 @t246 @t199 @t244 @t241 @t239 @t116 @t119 @t121 @t108 @t102 @t94 @t100 @t342 @t341 @t132 @t138 @t128 @t112 @t191 @t350 @t95))) % 0.86/1.10 (step @p2001 :rule cnf_or_pos :args (@t563)) % 0.86/1.10 (step @p2002 :rule reordering :premises (@p2001) :args ((or @t357 @t562 (not @t563)))) % 0.86/1.10 (assume-push @p2834 @t108) % 0.86/1.10 (step @p2004 :rule instantiate :premises (@p2834) :args (@t204)) % 0.86/1.10 (step-pop @p2835 :rule scope :premises (@p2004)) % 0.86/1.10 (step @p2005 :rule process_scope :premises (@p2835) :args (@t563)) % 0.86/1.10 (step @p2007 :rule implies_elim :premises (@p2005)) % 0.86/1.10 (step @p2008 :rule chain_m_resolution :premises (@p207 @p108) :args ((or @t108 @t128 @t185) @t564 (@list @t340))) % 0.86/1.10 (assume-push @p2836 @t128) % 0.86/1.10 (step @p2010 :rule instantiate :premises (@p2836) :args (@t366)) % 0.86/1.10 (step-pop @p2837 :rule scope :premises (@p2010)) % 0.86/1.10 (step @p2011 :rule process_scope :premises (@p2837) :args (@t567)) % 0.86/1.10 (step @p2013 :rule implies_elim :premises (@p2011)) % 0.86/1.10 (assume-push @p2838 @t343) % 0.86/1.10 (assume-push @p2839 @t364) % 0.86/1.10 (assume-push @p2840 @t364) % 0.86/1.10 (assume-push @p2841 @t343) % 0.86/1.10 (step @p61 :rule refl :args (tptp.sk_c9)) % 0.86/1.10 (step @p2018 :rule cong :premises (@p61 @p2839) :args (@t21)) % 0.86/1.10 (step @p2019 :rule trans :premises (@p2838 @p2018)) % 0.86/1.10 (step-pop @p2842 :rule scope :premises (@p2019)) % 0.86/1.10 (step-pop @p2843 :rule scope :premises (@p2842)) % 0.86/1.10 (step @p2020 :rule process_scope :premises (@p2843) :args (@t565)) % 0.86/1.10 (step @p2023 :rule and_intro :premises (@p2839 @p2838)) % 0.86/1.10 (step @p2024 :rule modus_ponens :premises (@p2023 @p2020)) % 0.86/1.10 (step-pop @p2844 :rule scope :premises (@p2024)) % 0.86/1.10 (step-pop @p2845 :rule scope :premises (@p2844)) % 0.86/1.10 (step @p2025 :rule process_scope :premises (@p2845) :args (@t565)) % 0.86/1.10 (step @p2028 :rule implies_elim :premises (@p2025)) % 0.86/1.10 (step @p2029 :rule cnf_and_neg :args (@t568)) % 0.86/1.10 (step @p2030 :rule resolution :premises (@p2029 @p2028) :args (true @t568)) % 0.86/1.10 (step @p2031 :rule cnf_or_pos :args (@t567)) % 0.86/1.10 (step @p2032 :rule reordering :premises (@p2031) :args ((or @t415 @t566 @t569))) % 0.86/1.10 (step @p2033 :rule chain_m_resolution :premises (@p2032 @p2030 @p1040 @p1037 @p1981) :args ((or @t97 @t569) @t424 (@list @t565 @t365 @t364 @t343))) % 0.86/1.10 (step @p2034 :rule chain_m_resolution :premises (@p2032 @p2030 @p1991 @p1988 @p1985 @p81 @p74 @p2033 @p95 @p2013 @p2008 @p2007 @p2002 @p788 @p777 @p2000 @p1999 @p712) :args ((or @t336 @t137) (@list false false false false true false false false false false true true false true true false false) (@list @t565 @t365 @t364 @t343 @t98 @t103 @t97 @t112 @t567 @t128 @t108 @t563 @t356 @t361 @t185 @t410 @t95))) % 0.86/1.10 (step @p2035 :rule chain_m_resolution :premises (@p2007 @p2002 @p2008 @p788 @p2013 @p777 @p2032 @p768 @p2030 @p763 @p796 @p792 @p724 @p720 @p716 @p2034 @p1999 @p712) :args (@t137 (@list true false false true true true true false true false false false false false true false false) (@list @t563 @t108 @t356 @t128 @t361 @t567 @t185 @t565 @t350 @t365 @t364 @t343 @t342 @t341 @t96 @t410 @t95))) % 0.86/1.10 (step @p2036 :rule bool-double-not-elim :args (@t136)) % 0.86/1.10 (step @p2037 :rule nary_cong :premises (@p209 @p2036) :args ((or @t138 (not @t137)))) % 0.86/1.10 (step @p2038 :rule cnf_or_neg :args (@t138 0)) % 0.86/1.10 (step @p2039 :rule eq_resolve :premises (@p2038 @p2037)) % 0.86/1.10 (step @p2040 :rule reordering :premises (@p2039) :args ((or @t136 @t138))) % 0.86/1.10 (step @p2041 :rule chain_m_resolution :premises (@p2040 @p2035) :args (@t138 @t564 (@list @t136))) % 0.86/1.10 (step @p2042 :rule chain_m_resolution :premises (@p117 @p2041) :args (@t128 @t200 (@list @t138))) % 0.86/1.10 (step @p2043 :rule chain_m_resolution :premises (@p2013 @p2042) :args (@t567 @t200 @t570)) % 0.86/1.10 (step @p2044 :rule chain_m_resolution :premises (@p95 @p2042) :args (@t112 @t200 @t570)) % 0.86/1.10 (step @p2045 :rule chain_m_resolution :premises (@p2033 @p2043) :args (@t97 @t200 (@list @t567))) % 0.86/1.10 (step @p2046 :rule chain_m_resolution :premises (@p2032 @p2043 @p2030 @p796 @p792 @p724) :args (@t96 (@list false false false false false) (@list @t567 @t565 @t365 @t364 @t343))) % 0.86/1.10 (step @p2047 :rule chain_m_resolution :premises (@p74 @p2046 @p2045) :args (@t103 @t354 (@list @t96 @t97))) % 0.86/1.10 (step @p2048 :rule chain_m_resolution :premises (@p81 @p2047 @p2044) :args (@t110 @t354 (@list @t103 @t112))) % 0.86/1.10 (step @p2049 :rule chain_m_resolution :premises (@p1991 @p2048) :args (@t365 @t564 @t571)) % 0.86/1.10 (step @p2050 :rule chain_m_resolution :premises (@p1988 @p2048) :args (@t364 @t564 @t571)) % 0.86/1.10 (step @p2051 :rule chain_m_resolution :premises (@p1985 @p2048) :args (@t343 @t564 @t571)) % 0.86/1.10 (step @p2052 :rule chain_m_resolution :premises (@p2030 @p2051 @p2050) :args (@t565 @t354 (@list @t343 @t364))) % 0.86/1.10 (step @p2053 false :rule chain_m_resolution :premises (@p2032 @p2052 @p2049 @p2043) :args (false (@list false false false) (@list @t565 @t365 @t567))) % 0.86/1.10 ) % 0.86/1.10 % SZS output end Proof % 0.86/1.10 % cvc5 exiting %------------------------------------------------------------------------------