%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP241-1 : 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 : n011.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 08:20:17 AM UTC 2026 % Result : Unsatisfiable 1.03s 1.29s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GRP241-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 00:59:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.03/1.29 % SZS status Unsatisfiable % 1.03/1.29 % SZS output start Proof % 1.13/1.33 ( % 1.13/1.33 (declare-sort $$unsorted 0) % 1.13/1.33 (declare-const tptp.sk_c3 $$unsorted) % 1.13/1.33 (declare-const tptp.sk_c1 $$unsorted) % 1.13/1.33 (declare-const tptp.sk_c6 $$unsorted) % 1.13/1.33 (declare-const tptp.sk_c7 $$unsorted) % 1.13/1.33 (declare-const tptp.sk_c5 $$unsorted) % 1.13/1.33 (declare-const tptp.sk_c4 $$unsorted) % 1.13/1.33 (declare-const tptp.sk_c2 $$unsorted) % 1.13/1.33 (declare-const tptp.sk_c8 $$unsorted) % 1.13/1.33 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.identity $$unsorted) % 1.13/1.33 (define @t1 () (@var "X" $$unsorted)) % 1.13/1.33 (define @t2 () (tptp.multiply tptp.identity @t1)) % 1.13/1.33 (define @t3 () (@list @t1)) % 1.13/1.33 (define @t4 () (forall @t3 (= @t2 @t1))) % 1.13/1.33 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 1.13/1.33 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 1.13/1.33 (define @t7 () (@var "Z" $$unsorted)) % 1.13/1.33 (define @t8 () (@var "Y" $$unsorted)) % 1.13/1.33 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 1.13/1.33 (define @t10 () (tptp.inverse tptp.sk_c4)) % 1.13/1.33 (define @t11 () (= @t10 tptp.sk_c8)) % 1.13/1.33 (define @t12 () (tptp.inverse tptp.sk_c8)) % 1.13/1.33 (define @t13 () (= @t12 tptp.sk_c7)) % 1.13/1.33 (define @t14 () (or @t13 @t11)) % 1.13/1.33 (define @t15 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 1.13/1.33 (define @t16 () (= @t15 tptp.sk_c8)) % 1.13/1.33 (define @t17 () (or @t13 @t16)) % 1.13/1.33 (define @t18 () (tptp.multiply tptp.sk_c8 tptp.sk_c6)) % 1.13/1.33 (define @t19 () (= @t18 tptp.sk_c7)) % 1.13/1.33 (define @t20 () (or @t13 @t19)) % 1.13/1.33 (define @t21 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 1.13/1.33 (define @t22 () (= @t21 tptp.sk_c6)) % 1.13/1.33 (define @t23 () (or @t13 @t22)) % 1.13/1.33 (define @t24 () (tptp.inverse tptp.sk_c5)) % 1.13/1.33 (define @t25 () (= @t24 tptp.sk_c8)) % 1.13/1.33 (define @t26 () (or @t13 @t25)) % 1.13/1.33 (define @t27 () (tptp.inverse tptp.sk_c7)) % 1.13/1.33 (define @t28 () (= @t27 tptp.sk_c8)) % 1.13/1.33 (define @t29 () (or @t28 @t11)) % 1.13/1.33 (define @t30 () (or @t28 @t19)) % 1.13/1.33 (define @t31 () (or @t28 @t22)) % 1.13/1.33 (define @t32 () (or @t28 @t25)) % 1.13/1.33 (define @t33 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 1.13/1.33 (define @t34 () (= @t33 tptp.sk_c8)) % 1.13/1.33 (define @t35 () (or @t34 @t11)) % 1.13/1.33 (define @t36 () (or @t34 @t16)) % 1.13/1.33 (define @t37 () (tptp.inverse tptp.sk_c1)) % 1.13/1.33 (define @t38 () (= @t37 tptp.sk_c7)) % 1.13/1.33 (define @t39 () (or @t38 @t11)) % 1.13/1.33 (define @t40 () (or @t38 @t16)) % 1.13/1.33 (define @t41 () (tptp.multiply tptp.sk_c8 tptp.sk_c3)) % 1.13/1.33 (define @t42 () (= @t41 tptp.sk_c7)) % 1.13/1.33 (define @t43 () (or @t42 @t11)) % 1.13/1.33 (define @t44 () (or @t42 @t16)) % 1.13/1.33 (define @t45 () (or @t42 @t19)) % 1.13/1.33 (define @t46 () (or @t42 @t22)) % 1.13/1.33 (define @t47 () (or @t42 @t25)) % 1.13/1.33 (define @t48 () (tptp.multiply tptp.sk_c2 tptp.sk_c8)) % 1.13/1.33 (define @t49 () (= @t48 tptp.sk_c3)) % 1.13/1.33 (define @t50 () (or @t49 @t11)) % 1.13/1.33 (define @t51 () (or @t49 @t16)) % 1.13/1.33 (define @t52 () (or @t49 @t19)) % 1.13/1.33 (define @t53 () (or @t49 @t22)) % 1.13/1.33 (define @t54 () (or @t49 @t25)) % 1.13/1.33 (define @t55 () (tptp.inverse tptp.sk_c2)) % 1.13/1.33 (define @t56 () (= @t55 tptp.sk_c8)) % 1.13/1.33 (define @t57 () (or @t56 @t11)) % 1.13/1.33 (define @t58 () (or @t56 @t16)) % 1.13/1.33 (define @t59 () (or @t56 @t19)) % 1.13/1.33 (define @t60 () (or @t56 @t22)) % 1.13/1.33 (define @t61 () (or @t56 @t25)) % 1.13/1.33 (define @t62 () (@var "X3" $$unsorted)) % 1.13/1.33 (define @t63 () (tptp.inverse @t62)) % 1.13/1.33 (define @t64 () (not (= @t63 tptp.sk_c8))) % 1.13/1.33 (define @t65 () (@var "X2" $$unsorted)) % 1.13/1.33 (define @t66 () (tptp.multiply @t62 tptp.sk_c8)) % 1.13/1.33 (define @t67 () (not (= @t66 @t65))) % 1.13/1.33 (define @t68 () (tptp.multiply tptp.sk_c8 @t65)) % 1.13/1.33 (define @t69 () (not (= @t68 tptp.sk_c7))) % 1.13/1.33 (define @t70 () (@var "X1" $$unsorted)) % 1.13/1.33 (define @t71 () (tptp.multiply @t70 tptp.sk_c7)) % 1.13/1.33 (define @t72 () (not (= @t71 tptp.sk_c8))) % 1.13/1.33 (define @t73 () (tptp.inverse @t70)) % 1.13/1.33 (define @t74 () (not (= @t73 tptp.sk_c8))) % 1.13/1.33 (define @t75 () (@var "X6" $$unsorted)) % 1.13/1.33 (define @t76 () (tptp.inverse @t75)) % 1.13/1.33 (define @t77 () (not (= @t76 tptp.sk_c8))) % 1.13/1.33 (define @t78 () (@var "X5" $$unsorted)) % 1.13/1.33 (define @t79 () (tptp.multiply @t75 tptp.sk_c8)) % 1.13/1.33 (define @t80 () (not (= @t79 @t78))) % 1.13/1.33 (define @t81 () (tptp.multiply tptp.sk_c8 @t78)) % 1.13/1.33 (define @t82 () (not (= @t81 tptp.sk_c7))) % 1.13/1.33 (define @t83 () (@var "X4" $$unsorted)) % 1.13/1.33 (define @t84 () (tptp.inverse @t83)) % 1.13/1.33 (define @t85 () (not (= @t84 tptp.sk_c7))) % 1.13/1.33 (define @t86 () (tptp.multiply @t83 tptp.sk_c7)) % 1.13/1.33 (define @t87 () (not (= @t86 tptp.sk_c8))) % 1.13/1.33 (define @t88 () (not @t28)) % 1.13/1.33 (define @t89 () (not @t13)) % 1.13/1.33 (define @t90 () (or @t89 @t88 @t87 @t85 @t82 @t80 @t77 @t74 @t72 @t69 @t67 @t64)) % 1.13/1.33 (define @t91 () (@list @t83 @t78 @t75 @t70 @t65 @t62)) % 1.13/1.33 (define @t92 () (forall @t91 @t90)) % 1.13/1.33 (define @t93 () (not (= tptp.sk_c7 @t84))) % 1.13/1.33 (define @t94 () (not (= tptp.sk_c8 @t86))) % 1.13/1.33 (define @t95 () (or @t94 @t93)) % 1.13/1.33 (define @t96 () (forall (@list @t83) @t95)) % 1.13/1.33 (define @t97 () (@quantifiers_skolemize @t96 0)) % 1.13/1.33 (define @t98 () (tptp.inverse @t97)) % 1.13/1.33 (define @t99 () (= tptp.sk_c7 @t98)) % 1.13/1.33 (define @t100 () (not @t99)) % 1.13/1.33 (define @t101 () (tptp.multiply @t97 tptp.sk_c7)) % 1.13/1.33 (define @t102 () (= tptp.sk_c8 @t101)) % 1.13/1.33 (define @t103 () (not @t102)) % 1.13/1.33 (define @t104 () (or @t103 @t100)) % 1.13/1.33 (define @t105 () (not @t104)) % 1.13/1.33 (define @t106 () (not @t96)) % 1.13/1.33 (define @t107 () (not (= tptp.sk_c8 @t76))) % 1.13/1.33 (define @t108 () (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t79)))) % 1.13/1.33 (define @t109 () (or @t108 @t107)) % 1.13/1.33 (define @t110 () (@list @t75)) % 1.13/1.33 (define @t111 () (forall @t110 @t109)) % 1.13/1.33 (define @t112 () (@quantifiers_skolemize @t111 0)) % 1.13/1.33 (define @t113 () (tptp.multiply @t112 tptp.sk_c8)) % 1.13/1.33 (define @t114 () (tptp.multiply tptp.sk_c8 @t113)) % 1.13/1.33 (define @t115 () (= tptp.sk_c7 @t114)) % 1.13/1.33 (define @t116 () (tptp.inverse @t112)) % 1.13/1.33 (define @t117 () (= tptp.sk_c8 @t116)) % 1.13/1.33 (define @t118 () (not @t117)) % 1.13/1.33 (define @t119 () (not @t115)) % 1.13/1.33 (define @t120 () (or @t119 @t118)) % 1.13/1.33 (define @t121 () (@list @t112)) % 1.13/1.33 (define @t122 () (@list tptp.sk_c8)) % 1.13/1.33 (define @t123 () (= tptp.sk_c7 @t18)) % 1.13/1.33 (define @t124 () (= tptp.sk_c6 @t21)) % 1.13/1.33 (define @t125 () (tptp.multiply tptp.sk_c8 @t21)) % 1.13/1.33 (define @t126 () (= tptp.sk_c7 @t125)) % 1.13/1.33 (define @t127 () (and @t123 @t124)) % 1.13/1.33 (define @t128 () (@list tptp.sk_c5)) % 1.13/1.33 (define @t129 () (@list @t97)) % 1.13/1.33 (define @t130 () (= tptp.sk_c8 @t10)) % 1.13/1.33 (define @t131 () (= tptp.sk_c8 @t24)) % 1.13/1.33 (define @t132 () (tptp.multiply @t24 tptp.sk_c5)) % 1.13/1.33 (define @t133 () (= tptp.identity @t132)) % 1.13/1.33 (define @t134 () (tptp.multiply @t98 @t97)) % 1.13/1.33 (define @t135 () (= tptp.identity @t134)) % 1.13/1.33 (define @t136 () (tptp.multiply tptp.sk_c8 tptp.sk_c5)) % 1.13/1.33 (define @t137 () (tptp.multiply @t136 tptp.sk_c8)) % 1.13/1.33 (define @t138 () (= @t137 @t125)) % 1.13/1.33 (define @t139 () (tptp.multiply tptp.identity tptp.sk_c8)) % 1.13/1.33 (define @t140 () (= tptp.sk_c8 @t139)) % 1.13/1.33 (define @t141 () (= tptp.sk_c7 @t10)) % 1.13/1.33 (define @t142 () (and @t130 @t123 @t124 @t131 @t133 @t135 @t138 @t140)) % 1.13/1.33 (define @t143 () (not @t131)) % 1.13/1.33 (define @t144 () (not @t126)) % 1.13/1.33 (define @t145 () (or @t144 @t143)) % 1.13/1.33 (define @t146 () (not @t141)) % 1.13/1.33 (define @t147 () (= tptp.sk_c8 @t15)) % 1.13/1.33 (define @t148 () (not @t147)) % 1.13/1.33 (define @t149 () (or @t148 @t146)) % 1.13/1.33 (define @t150 () (@list tptp.sk_c4)) % 1.13/1.33 (define @t151 () (not @t120)) % 1.13/1.33 (define @t152 () (not @t111)) % 1.13/1.33 (define @t153 () (@list tptp.sk_c7)) % 1.13/1.33 (define @t154 () (tptp.multiply tptp.sk_c8 @t112)) % 1.13/1.33 (define @t155 () (tptp.multiply @t154 tptp.sk_c8)) % 1.13/1.33 (define @t156 () (= @t155 @t114)) % 1.13/1.33 (define @t157 () (@list tptp.sk_c8 @t112 tptp.sk_c8)) % 1.13/1.33 (define @t158 () (= @t114 @t155)) % 1.13/1.33 (define @t159 () (@list false)) % 1.13/1.33 (define @t160 () (@list @t9)) % 1.13/1.33 (define @t161 () (tptp.multiply @t97 tptp.sk_c8)) % 1.13/1.33 (define @t162 () (tptp.multiply tptp.sk_c7 @t113)) % 1.13/1.33 (define @t163 () (tptp.multiply tptp.sk_c5 @t97)) % 1.13/1.33 (define @t164 () (tptp.multiply @t154 @t97)) % 1.13/1.33 (define @t165 () (tptp.multiply @t112 @t97)) % 1.13/1.33 (define @t166 () (tptp.multiply tptp.sk_c8 @t165)) % 1.13/1.33 (define @t167 () (= @t164 @t166)) % 1.13/1.33 (define @t168 () (@list tptp.sk_c8 @t112 @t97)) % 1.13/1.33 (define @t169 () (= @t166 @t164)) % 1.13/1.33 (define @t170 () (tptp.multiply @t113 tptp.sk_c6)) % 1.13/1.33 (define @t171 () (tptp.multiply tptp.sk_c7 tptp.sk_c5)) % 1.13/1.33 (define @t172 () (tptp.multiply @t171 @t97)) % 1.13/1.33 (define @t173 () (tptp.multiply tptp.sk_c7 @t163)) % 1.13/1.33 (define @t174 () (= @t172 @t173)) % 1.13/1.33 (define @t175 () (@list tptp.sk_c7 tptp.sk_c5 @t97)) % 1.13/1.33 (define @t176 () (= @t173 @t172)) % 1.13/1.33 (define @t177 () (tptp.multiply tptp.sk_c7 @t112)) % 1.13/1.33 (define @t178 () (tptp.multiply @t177 @t97)) % 1.13/1.33 (define @t179 () (tptp.multiply tptp.sk_c7 @t165)) % 1.13/1.33 (define @t180 () (= @t178 @t179)) % 1.13/1.33 (define @t181 () (@list tptp.sk_c7 @t112 @t97)) % 1.13/1.33 (define @t182 () (= @t179 @t178)) % 1.13/1.33 (define @t183 () (tptp.multiply @t113 tptp.sk_c5)) % 1.13/1.33 (define @t184 () (tptp.multiply @t183 @t97)) % 1.13/1.33 (define @t185 () (tptp.multiply @t113 @t163)) % 1.13/1.33 (define @t186 () (= @t184 @t185)) % 1.13/1.33 (define @t187 () (@list @t113 tptp.sk_c5 @t97)) % 1.13/1.33 (define @t188 () (= @t185 @t184)) % 1.13/1.33 (define @t189 () (tptp.multiply @t166 @t97)) % 1.13/1.33 (define @t190 () (tptp.multiply tptp.sk_c8 (tptp.multiply @t165 @t97))) % 1.13/1.33 (define @t191 () (= @t189 @t190)) % 1.13/1.33 (define @t192 () (@list tptp.sk_c8 @t165 @t97)) % 1.13/1.33 (define @t193 () (= @t190 @t189)) % 1.13/1.33 (define @t194 () (tptp.multiply tptp.sk_c8 @t163)) % 1.13/1.33 (define @t195 () (tptp.multiply @t194 @t97)) % 1.13/1.33 (define @t196 () (tptp.multiply @t163 @t97)) % 1.13/1.33 (define @t197 () (tptp.multiply tptp.sk_c8 @t196)) % 1.13/1.33 (define @t198 () (= @t195 @t197)) % 1.13/1.33 (define @t199 () (@list tptp.sk_c8 @t163 @t97)) % 1.13/1.33 (define @t200 () (= @t197 @t195)) % 1.13/1.33 (define @t201 () (tptp.multiply @t163 tptp.sk_c7)) % 1.13/1.33 (define @t202 () (tptp.multiply @t97 @t97)) % 1.13/1.33 (define @t203 () (tptp.multiply @t163 @t161)) % 1.13/1.33 (define @t204 () (tptp.multiply @t183 tptp.sk_c8)) % 1.13/1.33 (define @t205 () (tptp.multiply @t203 @t183)) % 1.13/1.33 (define @t206 () (tptp.multiply @t205 tptp.sk_c8)) % 1.13/1.33 (define @t207 () (= @t206 (tptp.multiply @t203 @t204))) % 1.13/1.33 (define @t208 () (not @t207)) % 1.13/1.33 (define @t209 () (tptp.multiply @t97 @t171)) % 1.13/1.33 (define @t210 () (tptp.multiply @t12 @t209)) % 1.13/1.33 (define @t211 () (tptp.multiply @t12 @t97)) % 1.13/1.33 (define @t212 () (tptp.multiply @t211 @t171)) % 1.13/1.33 (define @t213 () (= @t212 @t210)) % 1.13/1.33 (define @t214 () (not @t213)) % 1.13/1.33 (define @t215 () (tptp.multiply @t163 @t177)) % 1.13/1.33 (define @t216 () (= (tptp.multiply @t201 @t112) @t215)) % 1.13/1.33 (define @t217 () (not @t216)) % 1.13/1.33 (define @t218 () (tptp.multiply @t211 @t202)) % 1.13/1.33 (define @t219 () (= @t218 (tptp.multiply @t12 (tptp.multiply @t97 @t202)))) % 1.13/1.33 (define @t220 () (not @t219)) % 1.13/1.33 (define @t221 () (tptp.multiply tptp.identity @t163)) % 1.13/1.33 (define @t222 () (= @t163 @t221)) % 1.13/1.33 (define @t223 () (not @t222)) % 1.13/1.33 (define @t224 () (= @t201 (tptp.multiply tptp.identity @t201))) % 1.13/1.33 (define @t225 () (not @t224)) % 1.13/1.33 (define @t226 () (tptp.multiply tptp.identity @t112)) % 1.13/1.33 (define @t227 () (= @t112 @t226)) % 1.13/1.33 (define @t228 () (not @t227)) % 1.13/1.33 (define @t229 () (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) % 1.13/1.33 (define @t230 () (not @t229)) % 1.13/1.33 (define @t231 () (tptp.multiply tptp.identity tptp.sk_c4)) % 1.13/1.33 (define @t232 () (= tptp.sk_c4 @t231)) % 1.13/1.33 (define @t233 () (not @t232)) % 1.13/1.33 (define @t234 () (tptp.multiply @t15 @t165)) % 1.13/1.33 (define @t235 () (= @t234 (tptp.multiply tptp.sk_c4 @t179))) % 1.13/1.33 (define @t236 () (not @t235)) % 1.13/1.33 (define @t237 () (not @t200)) % 1.13/1.33 (define @t238 () (not @t193)) % 1.13/1.33 (define @t239 () (tptp.multiply @t164 tptp.sk_c7)) % 1.13/1.33 (define @t240 () (tptp.multiply @t239 @t165)) % 1.13/1.33 (define @t241 () (= @t240 (tptp.multiply @t164 @t179))) % 1.13/1.33 (define @t242 () (not @t241)) % 1.13/1.33 (define @t243 () (not @t188)) % 1.13/1.33 (define @t244 () (= @t204 (tptp.multiply @t113 @t21))) % 1.13/1.33 (define @t245 () (not @t244)) % 1.13/1.33 (define @t246 () (tptp.multiply @t162 @t201)) % 1.13/1.33 (define @t247 () (tptp.multiply @t162 @t163)) % 1.13/1.33 (define @t248 () (= (tptp.multiply @t247 tptp.sk_c7) @t246)) % 1.13/1.33 (define @t249 () (not @t248)) % 1.13/1.33 (define @t250 () (tptp.multiply @t154 tptp.sk_c7)) % 1.13/1.33 (define @t251 () (tptp.multiply @t250 @t163)) % 1.13/1.33 (define @t252 () (= @t251 (tptp.multiply @t154 @t173))) % 1.13/1.33 (define @t253 () (not @t252)) % 1.13/1.33 (define @t254 () (tptp.multiply @t154 @t114)) % 1.13/1.33 (define @t255 () (= (tptp.multiply @t155 @t113) @t254)) % 1.13/1.33 (define @t256 () (not @t255)) % 1.13/1.33 (define @t257 () (tptp.multiply @t165 @t171)) % 1.13/1.33 (define @t258 () (tptp.multiply @t257 @t97)) % 1.13/1.33 (define @t259 () (= @t258 (tptp.multiply @t165 @t172))) % 1.13/1.33 (define @t260 () (not @t259)) % 1.13/1.33 (define @t261 () (tptp.multiply @t15 @t163)) % 1.13/1.33 (define @t262 () (= @t261 (tptp.multiply tptp.sk_c4 @t173))) % 1.13/1.33 (define @t263 () (not @t262)) % 1.13/1.33 (define @t264 () (tptp.multiply @t12 @t173)) % 1.13/1.33 (define @t265 () (tptp.multiply (tptp.multiply @t12 tptp.sk_c7) @t163)) % 1.13/1.33 (define @t266 () (= @t265 @t264)) % 1.13/1.33 (define @t267 () (not @t266)) % 1.13/1.33 (define @t268 () (tptp.multiply tptp.sk_c5 @t173)) % 1.13/1.33 (define @t269 () (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c7) @t163)) % 1.13/1.33 (define @t270 () (= @t269 @t268)) % 1.13/1.33 (define @t271 () (not @t270)) % 1.13/1.33 (define @t272 () (tptp.multiply @t112 tptp.sk_c7)) % 1.13/1.33 (define @t273 () (tptp.multiply @t272 @t163)) % 1.13/1.33 (define @t274 () (= @t273 (tptp.multiply @t112 @t173))) % 1.13/1.33 (define @t275 () (not @t274)) % 1.13/1.33 (define @t276 () (tptp.multiply @t165 tptp.sk_c7)) % 1.13/1.33 (define @t277 () (= (tptp.multiply @t276 tptp.sk_c5) @t257)) % 1.13/1.33 (define @t278 () (not @t277)) % 1.13/1.33 (define @t279 () (tptp.multiply @t276 tptp.sk_c4)) % 1.13/1.33 (define @t280 () (= @t279 (tptp.multiply @t165 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) % 1.13/1.33 (define @t281 () (not @t280)) % 1.13/1.33 (define @t282 () (tptp.multiply @t98 @t202)) % 1.13/1.33 (define @t283 () (= (tptp.multiply @t134 @t97) @t282)) % 1.13/1.33 (define @t284 () (not @t283)) % 1.13/1.33 (define @t285 () (tptp.multiply @t97 @t164)) % 1.13/1.33 (define @t286 () (tptp.multiply tptp.sk_c4 @t97)) % 1.13/1.33 (define @t287 () (tptp.multiply @t286 @t164)) % 1.13/1.33 (define @t288 () (= @t287 (tptp.multiply tptp.sk_c4 @t285))) % 1.13/1.33 (define @t289 () (not @t288)) % 1.13/1.33 (define @t290 () (tptp.multiply @t173 @t97)) % 1.13/1.33 (define @t291 () (= @t290 (tptp.multiply tptp.sk_c7 @t196))) % 1.13/1.33 (define @t292 () (not @t291)) % 1.13/1.33 (define @t293 () (tptp.multiply tptp.identity @t113)) % 1.13/1.33 (define @t294 () (= @t113 @t293)) % 1.13/1.33 (define @t295 () (not @t294)) % 1.13/1.33 (define @t296 () (tptp.multiply @t113 @t201)) % 1.13/1.33 (define @t297 () (= (tptp.multiply @t185 tptp.sk_c7) @t296)) % 1.13/1.33 (define @t298 () (not @t297)) % 1.13/1.33 (define @t299 () (not @t182)) % 1.13/1.33 (define @t300 () (not @t176)) % 1.13/1.33 (define @t301 () (tptp.multiply @t27 @t114)) % 1.13/1.33 (define @t302 () (tptp.multiply @t27 tptp.sk_c8)) % 1.13/1.33 (define @t303 () (tptp.multiply @t302 @t113)) % 1.13/1.33 (define @t304 () (= @t303 @t301)) % 1.13/1.33 (define @t305 () (not @t304)) % 1.13/1.33 (define @t306 () (tptp.multiply @t161 @t170)) % 1.13/1.33 (define @t307 () (tptp.multiply @t203 @t170)) % 1.13/1.33 (define @t308 () (= @t307 (tptp.multiply @t163 @t306))) % 1.13/1.33 (define @t309 () (not @t308)) % 1.13/1.33 (define @t310 () (tptp.multiply @t165 @t306)) % 1.13/1.33 (define @t311 () (= (tptp.multiply (tptp.multiply @t165 @t161) @t170) @t310)) % 1.13/1.33 (define @t312 () (not @t311)) % 1.13/1.33 (define @t313 () (tptp.multiply @t164 @t114)) % 1.13/1.33 (define @t314 () (tptp.multiply tptp.sk_c4 @t164)) % 1.13/1.33 (define @t315 () (tptp.multiply @t314 @t114)) % 1.13/1.33 (define @t316 () (= @t315 (tptp.multiply tptp.sk_c4 @t313))) % 1.13/1.33 (define @t317 () (not @t316)) % 1.13/1.33 (define @t318 () (not @t169)) % 1.13/1.33 (define @t319 () (tptp.multiply @t114 @t163)) % 1.13/1.33 (define @t320 () (= @t319 (tptp.multiply tptp.sk_c8 @t185))) % 1.13/1.33 (define @t321 () (not @t320)) % 1.13/1.33 (define @t322 () (tptp.multiply tptp.identity @t97)) % 1.13/1.33 (define @t323 () (= @t97 @t322)) % 1.13/1.33 (define @t324 () (not @t323)) % 1.13/1.33 (define @t325 () (tptp.multiply @t97 @t114)) % 1.13/1.33 (define @t326 () (tptp.multiply @t12 @t325)) % 1.13/1.33 (define @t327 () (tptp.multiply @t211 @t114)) % 1.13/1.33 (define @t328 () (= @t327 @t326)) % 1.13/1.33 (define @t329 () (not @t328)) % 1.13/1.33 (define @t330 () (tptp.multiply @t97 @t162)) % 1.13/1.33 (define @t331 () (tptp.multiply @t27 @t330)) % 1.13/1.33 (define @t332 () (= (tptp.multiply (tptp.multiply @t27 @t97) @t162) @t331)) % 1.13/1.33 (define @t333 () (not @t332)) % 1.13/1.33 (define @t334 () (tptp.multiply tptp.sk_c7 @t201)) % 1.13/1.33 (define @t335 () (= (tptp.multiply @t173 tptp.sk_c7) @t334)) % 1.13/1.33 (define @t336 () (not @t335)) % 1.13/1.33 (define @t337 () (tptp.multiply @t194 tptp.sk_c7)) % 1.13/1.33 (define @t338 () (= @t337 (tptp.multiply tptp.sk_c8 @t201))) % 1.13/1.33 (define @t339 () (not @t338)) % 1.13/1.33 (define @t340 () (tptp.multiply @t162 tptp.sk_c6)) % 1.13/1.33 (define @t341 () (tptp.multiply @t97 @t340)) % 1.13/1.33 (define @t342 () (= (tptp.multiply @t330 tptp.sk_c6) @t341)) % 1.13/1.33 (define @t343 () (not @t342)) % 1.13/1.33 (define @t344 () (tptp.multiply @t114 @t112)) % 1.13/1.33 (define @t345 () (tptp.multiply @t325 @t112)) % 1.13/1.33 (define @t346 () (= @t345 (tptp.multiply @t97 @t344))) % 1.13/1.33 (define @t347 () (not @t346)) % 1.13/1.33 (define @t348 () (tptp.multiply @t161 @t113)) % 1.13/1.33 (define @t349 () (tptp.multiply @t348 tptp.sk_c6)) % 1.13/1.33 (define @t350 () (= @t349 @t306)) % 1.13/1.33 (define @t351 () (not @t350)) % 1.13/1.33 (define @t352 () (not @t140)) % 1.13/1.33 (define @t353 () (= @t348 @t325)) % 1.13/1.33 (define @t354 () (not @t353)) % 1.13/1.33 (define @t355 () (not @t158)) % 1.13/1.33 (define @t356 () (= @t201 (tptp.multiply tptp.sk_c5 @t101))) % 1.13/1.33 (define @t357 () (not @t356)) % 1.13/1.33 (define @t358 () (not @t138)) % 1.13/1.33 (define @t359 () (not @t135)) % 1.13/1.33 (define @t360 () (tptp.multiply @t116 @t112)) % 1.13/1.33 (define @t361 () (= tptp.identity @t360)) % 1.13/1.33 (define @t362 () (not @t361)) % 1.13/1.33 (define @t363 () (not @t133)) % 1.13/1.33 (define @t364 () (tptp.multiply @t10 tptp.sk_c4)) % 1.13/1.33 (define @t365 () (= tptp.identity @t364)) % 1.13/1.33 (define @t366 () (not @t365)) % 1.13/1.33 (define @t367 () (tptp.multiply @t27 tptp.sk_c7)) % 1.13/1.33 (define @t368 () (= tptp.identity @t367)) % 1.13/1.33 (define @t369 () (not @t368)) % 1.13/1.33 (define @t370 () (tptp.multiply @t12 tptp.sk_c8)) % 1.13/1.33 (define @t371 () (= tptp.identity @t370)) % 1.13/1.33 (define @t372 () (not @t371)) % 1.13/1.33 (define @t373 () (= tptp.sk_c7 @t12)) % 1.13/1.33 (define @t374 () (not @t124)) % 1.13/1.33 (define @t375 () (not @t123)) % 1.13/1.33 (define @t376 () (not @t130)) % 1.13/1.33 (define @t377 () (not @t373)) % 1.13/1.33 (define @t378 () (tptp.inverse @t114)) % 1.13/1.33 (define @t379 () (= tptp.sk_c8 @t378)) % 1.13/1.33 (define @t380 () (not @t379)) % 1.13/1.33 (define @t381 () (tptp.multiply @t164 tptp.sk_c8)) % 1.13/1.33 (define @t382 () (tptp.multiply tptp.sk_c8 tptp.sk_c4)) % 1.13/1.33 (define @t383 () (tptp.multiply tptp.sk_c5 @t161)) % 1.13/1.33 (define @t384 () (tptp.multiply @t162 @t113)) % 1.13/1.33 (define @t385 () (tptp.multiply @t163 @t313)) % 1.13/1.33 (define @t386 () (tptp.multiply @t98 @t164)) % 1.13/1.33 (define @t387 () (and @t380 @t379)) % 1.13/1.33 (define @t388 () (tptp.multiply @t116 @t113)) % 1.13/1.33 (define @t389 () (tptp.multiply @t360 tptp.sk_c8)) % 1.13/1.33 (define @t390 () (= @t389 @t388)) % 1.13/1.33 (define @t391 () (= tptp.sk_c8 @t12)) % 1.13/1.33 (define @t392 () (= tptp.sk_c7 @t116)) % 1.13/1.33 (define @t393 () (and @t373 @t115 @t117 @t361 @t140 @t390)) % 1.13/1.33 (define @t394 () (= tptp.sk_c8 @t27)) % 1.13/1.33 (define @t395 () (= tptp.sk_c8 @t33)) % 1.13/1.33 (define @t396 () (= tptp.sk_c7 @t37)) % 1.13/1.33 (define @t397 () (= tptp.sk_c7 @t41)) % 1.13/1.33 (define @t398 () (= tptp.sk_c3 @t48)) % 1.13/1.33 (define @t399 () (= tptp.sk_c8 @t55)) % 1.13/1.33 (define @t400 () (tptp.multiply tptp.sk_c8 @t48)) % 1.13/1.33 (define @t401 () (= tptp.sk_c7 @t400)) % 1.13/1.33 (define @t402 () (and @t397 @t398)) % 1.13/1.33 (define @t403 () (not @t399)) % 1.13/1.33 (define @t404 () (not @t401)) % 1.13/1.33 (define @t405 () (or @t404 @t403)) % 1.13/1.33 (define @t406 () (not @t405)) % 1.13/1.33 (define @t407 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 1.13/1.33 (define @t408 () (= tptp.sk_c8 (tptp.inverse @t407))) % 1.13/1.33 (define @t409 () (and @t394 @t395 @t115 @t117 @t361 @t140 @t390)) % 1.13/1.33 (define @t410 () (tptp.multiply @t37 tptp.sk_c1)) % 1.13/1.33 (define @t411 () (= tptp.identity @t410)) % 1.13/1.33 (define @t412 () (tptp.multiply tptp.sk_c1 @t177)) % 1.13/1.33 (define @t413 () (= (tptp.multiply @t33 @t112) @t412)) % 1.13/1.33 (define @t414 () (tptp.multiply @t407 @t48)) % 1.13/1.33 (define @t415 () (tptp.multiply (tptp.multiply @t407 tptp.sk_c2) tptp.sk_c8)) % 1.13/1.33 (define @t416 () (= @t415 @t414)) % 1.13/1.33 (define @t417 () (tptp.multiply tptp.sk_c8 @t33)) % 1.13/1.33 (define @t418 () (tptp.multiply tptp.sk_c8 tptp.sk_c1)) % 1.13/1.33 (define @t419 () (= (tptp.multiply @t418 tptp.sk_c7) @t417)) % 1.13/1.33 (define @t420 () (tptp.multiply tptp.identity tptp.sk_c7)) % 1.13/1.33 (define @t421 () (= tptp.sk_c7 @t420)) % 1.13/1.33 (define @t422 () (tptp.multiply @t407 @t12)) % 1.13/1.33 (define @t423 () (= @t422 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 @t12)))) % 1.13/1.33 (define @t424 () (tptp.multiply tptp.sk_c1 @t400)) % 1.13/1.33 (define @t425 () (= @t414 @t424)) % 1.13/1.33 (define @t426 () (tptp.multiply tptp.sk_c8 tptp.sk_c7)) % 1.13/1.33 (define @t427 () (tptp.multiply @t27 @t12)) % 1.13/1.33 (define @t428 () (tptp.multiply tptp.sk_c8 @t415)) % 1.13/1.33 (define @t429 () (tptp.multiply tptp.sk_c8 tptp.sk_c8)) % 1.13/1.33 (define @t430 () (tptp.multiply @t418 tptp.sk_c8)) % 1.13/1.33 (define @t431 () (= tptp.sk_c8 (tptp.multiply @t407 tptp.sk_c7))) % 1.13/1.33 (define @t432 () (and @t373 @t394 @t395 @t396 @t397 @t398 @t115 @t117 @t368 @t411 @t361 @t135 @t158 @t140 @t390 @t413 @t227 @t416 @t419 @t421 @t423 @t425)) % 1.13/1.33 (define @t433 () (not @t425)) % 1.13/1.33 (define @t434 () (not @t421)) % 1.13/1.33 (define @t435 () (not @t419)) % 1.13/1.33 (define @t436 () (not @t416)) % 1.13/1.33 (define @t437 () (not @t390)) % 1.13/1.33 (define @t438 () (not @t411)) % 1.13/1.33 (define @t439 () (not @t398)) % 1.13/1.33 (define @t440 () (not @t397)) % 1.13/1.33 (define @t441 () (not @t396)) % 1.13/1.33 (define @t442 () (not @t395)) % 1.13/1.33 (define @t443 () (not @t394)) % 1.13/1.33 (define @t444 () (tptp.multiply tptp.sk_c8 @t155)) % 1.13/1.33 (define @t445 () (= tptp.sk_c8 @t272)) % 1.13/1.33 (define @t446 () (and @t373 @t394 @t395 @t396 @t397 @t398 @t115 @t117 @t368 @t411 @t361 @t135 @t158 @t140 @t304 @t294 @t390 @t416 @t419 @t421 @t425)) % 1.13/1.33 (define @t447 () (not @t392)) % 1.13/1.33 (define @t448 () (not @t445)) % 1.13/1.33 (define @t449 () (or @t448 @t447)) % 1.13/1.33 (define @t450 () (not @t431)) % 1.13/1.33 (define @t451 () (not @t408)) % 1.13/1.33 (define @t452 () (or @t451 @t450)) % 1.13/1.33 (define @t453 () (not (= tptp.sk_c8 @t71))) % 1.13/1.33 (define @t454 () (not (= tptp.sk_c8 @t73))) % 1.13/1.33 (define @t455 () (or @t454 @t453)) % 1.13/1.33 (define @t456 () (forall (@list @t70) @t455)) % 1.13/1.33 (define @t457 () (not (= tptp.sk_c8 @t63))) % 1.13/1.33 (define @t458 () (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t66)))) % 1.13/1.33 (define @t459 () (or @t458 @t457)) % 1.13/1.33 (define @t460 () (not (= @t66 @t66))) % 1.13/1.33 (define @t461 () (or @t458 @t460 @t457)) % 1.13/1.33 (define @t462 () (@list @t62)) % 1.13/1.33 (define @t463 () (not (= @t65 @t66))) % 1.13/1.33 (define @t464 () (not (= tptp.sk_c7 @t68))) % 1.13/1.33 (define @t465 () (or @t463 @t464 @t463 @t457)) % 1.13/1.33 (define @t466 () (@list @t65)) % 1.13/1.33 (define @t467 () (or @t464 @t463 @t457)) % 1.13/1.33 (define @t468 () (forall @t466 @t467)) % 1.13/1.33 (define @t469 () (forall @t462 @t468)) % 1.13/1.33 (define @t470 () (forall (@list @t62 @t65) @t467)) % 1.13/1.33 (define @t471 () (forall (@list @t65 @t62) @t467)) % 1.13/1.33 (define @t472 () (not (= @t79 @t79))) % 1.13/1.33 (define @t473 () (or @t108 @t472 @t107)) % 1.13/1.33 (define @t474 () (not (= @t78 @t79))) % 1.13/1.33 (define @t475 () (not (= tptp.sk_c7 @t81))) % 1.13/1.33 (define @t476 () (or @t474 @t475 @t474 @t107)) % 1.13/1.33 (define @t477 () (@list @t78)) % 1.13/1.33 (define @t478 () (or @t475 @t474 @t107)) % 1.13/1.33 (define @t479 () (forall @t477 @t478)) % 1.13/1.33 (define @t480 () (forall @t110 @t479)) % 1.13/1.33 (define @t481 () (forall (@list @t75 @t78) @t478)) % 1.13/1.33 (define @t482 () (forall (@list @t78 @t75) @t478)) % 1.13/1.33 (define @t483 () (or @t377 @t443 @t96 @t482 @t456 @t471)) % 1.13/1.33 (define @t484 () (or @t377 @t443 @t95 @t478 @t455 @t467)) % 1.13/1.33 (define @t485 () (or @t377 @t443 @t94 @t93 @t475 @t474 @t107 @t454 @t453 @t464 @t463 @t457)) % 1.13/1.33 (define @t486 () (forall @t462 @t459)) % 1.13/1.33 (define @t487 () (and @t130 @t117 @t392)) % 1.13/1.33 (define @t488 () (tptp.multiply @t211 tptp.sk_c8)) % 1.13/1.33 (define @t489 () (tptp.multiply @t488 @t113)) % 1.13/1.33 (define @t490 () (= @t489 @t327)) % 1.13/1.33 (define @t491 () (@list @t211 tptp.sk_c8 @t113)) % 1.13/1.33 (define @t492 () (= @t327 @t489)) % 1.13/1.33 (define @t493 () (tptp.multiply @t381 @t113)) % 1.13/1.33 (define @t494 () (= @t493 @t313)) % 1.13/1.33 (define @t495 () (@list @t164 tptp.sk_c8 @t113)) % 1.13/1.33 (define @t496 () (= @t313 @t493)) % 1.13/1.33 (define @t497 () (tptp.multiply @t382 tptp.sk_c8)) % 1.13/1.33 (define @t498 () (tptp.multiply tptp.sk_c4 tptp.sk_c8)) % 1.13/1.33 (define @t499 () (tptp.multiply tptp.sk_c8 @t498)) % 1.13/1.33 (define @t500 () (= @t497 @t499)) % 1.13/1.33 (define @t501 () (@list tptp.sk_c8 tptp.sk_c4 tptp.sk_c8)) % 1.13/1.33 (define @t502 () (= @t499 @t497)) % 1.13/1.33 (define @t503 () (tptp.multiply @t101 @t113)) % 1.13/1.33 (define @t504 () (= @t503 @t330)) % 1.13/1.33 (define @t505 () (tptp.multiply @t112 @t101)) % 1.13/1.33 (define @t506 () (= @t276 @t505)) % 1.13/1.33 (define @t507 () (tptp.multiply @t98 @t161)) % 1.13/1.33 (define @t508 () (tptp.multiply @t134 tptp.sk_c8)) % 1.13/1.33 (define @t509 () (= @t508 @t507)) % 1.13/1.33 (define @t510 () (tptp.multiply tptp.sk_c8 @t276)) % 1.13/1.33 (define @t511 () (= (tptp.multiply @t166 tptp.sk_c7) @t510)) % 1.13/1.33 (define @t512 () (tptp.multiply @t113 @t161)) % 1.13/1.33 (define @t513 () (tptp.multiply @t114 @t161)) % 1.13/1.33 (define @t514 () (= @t513 (tptp.multiply tptp.sk_c8 @t512))) % 1.13/1.33 (define @t515 () (tptp.multiply @t12 @t161)) % 1.13/1.33 (define @t516 () (= @t488 @t515)) % 1.13/1.33 (define @t517 () (tptp.multiply tptp.sk_c7 @t161)) % 1.13/1.33 (define @t518 () (tptp.multiply @t276 @t161)) % 1.13/1.33 (define @t519 () (= @t518 (tptp.multiply @t165 @t517))) % 1.13/1.33 (define @t520 () (= @t165 (tptp.multiply tptp.identity @t165))) % 1.13/1.33 (define @t521 () (tptp.multiply @t211 @t330)) % 1.13/1.33 (define @t522 () (= @t521 (tptp.multiply @t12 (tptp.multiply @t97 @t330)))) % 1.13/1.33 (define @t523 () (tptp.multiply @t231 tptp.sk_c8)) % 1.13/1.33 (define @t524 () (= @t523 (tptp.multiply tptp.identity @t498))) % 1.13/1.33 (define @t525 () (tptp.multiply @t386 tptp.sk_c8)) % 1.13/1.33 (define @t526 () (= @t525 (tptp.multiply @t98 @t381))) % 1.13/1.33 (define @t527 () (tptp.multiply @t165 tptp.sk_c8)) % 1.13/1.33 (define @t528 () (tptp.multiply tptp.sk_c8 @t527)) % 1.13/1.33 (define @t529 () (= (tptp.multiply @t166 tptp.sk_c8) @t528)) % 1.13/1.33 (define @t530 () (tptp.multiply @t98 tptp.sk_c8)) % 1.13/1.33 (define @t531 () (tptp.multiply @t530 @t165)) % 1.13/1.33 (define @t532 () (= @t531 (tptp.multiply @t98 @t166))) % 1.13/1.33 (define @t533 () (tptp.multiply tptp.sk_c4 @t12)) % 1.13/1.33 (define @t534 () (tptp.multiply @t97 @t12)) % 1.13/1.33 (define @t535 () (tptp.multiply tptp.sk_c7 @t97)) % 1.13/1.33 (define @t536 () (tptp.multiply tptp.sk_c7 tptp.sk_c8)) % 1.13/1.33 (define @t537 () (tptp.multiply tptp.sk_c8 @t536)) % 1.13/1.33 (define @t538 () (tptp.multiply @t10 @t231)) % 1.13/1.33 (define @t539 () (and @t373 @t130 @t115 @t102 @t99 @t371 @t365 @t135 @t504 @t506 @t158 @t353 @t140 @t509 @t511 @t169 @t514 @t492 @t516 @t519 @t496 @t232 @t520 @t522 @t421 @t524 @t526 @t529 @t532 @t502)) % 1.13/1.33 (define @t540 () (not @t502)) % 1.13/1.33 (define @t541 () (not @t516)) % 1.13/1.33 (define @t542 () (not @t509)) % 1.13/1.33 (define @t543 () (or @t376 @t148)) % 1.13/1.33 (define @t544 () (= tptp.sk_c8 @t98)) % 1.13/1.33 (define @t545 () (and @t130 @t99 @t141)) % 1.13/1.33 (define @t546 () (and @t373 @t130 @t141)) % 1.13/1.33 (define @t547 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t161))) % 1.13/1.33 (define @t548 () (and @t130 @t99 @t135 @t140 @t509 @t141)) % 1.13/1.33 (define @t549 () (not @t544)) % 1.13/1.33 (define @t550 () (not @t547)) % 1.13/1.33 (define @t551 () (or @t550 @t549)) % 1.13/1.33 (define @t552 () (= tptp.sk_c7 @t499)) % 1.13/1.33 (define @t553 () (not @t552)) % 1.13/1.33 (define @t554 () (or @t553 @t376)) % 1.13/1.33 (define @t555 () (= tptp.sk_c7 @t537)) % 1.13/1.33 (define @t556 () (not @t555)) % 1.13/1.33 (define @t557 () (or @t556 @t443)) % 1.13/1.33 (define @t558 () (and @t130 @t365 @t135 @t140 @t553 @t232 @t502)) % 1.13/1.33 (define @t559 () (@list false false false false false false false false)) % 1.13/1.33 (define @t560 () (@list @t130 @t140 @t138 @t135 @t133 @t131 @t124 @t123)) % 1.13/1.33 (define @t561 () (@quantifiers_skolemize @t456 0)) % 1.13/1.33 (define @t562 () (tptp.multiply @t561 tptp.sk_c7)) % 1.13/1.33 (define @t563 () (= tptp.sk_c8 @t562)) % 1.13/1.33 (define @t564 () (not @t563)) % 1.13/1.33 (define @t565 () (tptp.inverse @t561)) % 1.13/1.33 (define @t566 () (= tptp.sk_c8 @t565)) % 1.13/1.33 (define @t567 () (not @t566)) % 1.13/1.33 (define @t568 () (or @t567 @t564)) % 1.13/1.33 (define @t569 () (not @t568)) % 1.13/1.33 (define @t570 () (not @t456)) % 1.13/1.33 (define @t571 () (not @t557)) % 1.13/1.33 (define @t572 () (@list @t561)) % 1.13/1.33 (define @t573 () (tptp.multiply @t97 @t561)) % 1.13/1.33 (define @t574 () (= tptp.identity (tptp.multiply @t565 @t561))) % 1.13/1.33 (define @t575 () (tptp.multiply @t561 tptp.sk_c8)) % 1.13/1.33 (define @t576 () (tptp.multiply @t27 @t575)) % 1.13/1.33 (define @t577 () (= (tptp.multiply (tptp.multiply @t27 @t561) tptp.sk_c8) @t576)) % 1.13/1.33 (define @t578 () (= @t561 (tptp.multiply tptp.identity @t561))) % 1.13/1.33 (define @t579 () (tptp.multiply @t12 @t573)) % 1.13/1.33 (define @t580 () (tptp.multiply @t211 @t561)) % 1.13/1.33 (define @t581 () (= @t580 @t579)) % 1.13/1.33 (define @t582 () (tptp.multiply @t573 tptp.sk_c8)) % 1.13/1.33 (define @t583 () (tptp.multiply @t12 @t582)) % 1.13/1.33 (define @t584 () (= (tptp.multiply @t579 tptp.sk_c8) @t583)) % 1.13/1.33 (define @t585 () (tptp.multiply tptp.sk_c4 @t561)) % 1.13/1.33 (define @t586 () (tptp.multiply tptp.identity @t585)) % 1.13/1.33 (define @t587 () (tptp.multiply @t231 @t561)) % 1.13/1.33 (define @t588 () (= @t587 @t586)) % 1.13/1.33 (define @t589 () (tptp.multiply @t561 @t561)) % 1.13/1.33 (define @t590 () (tptp.multiply @t589 tptp.sk_c7)) % 1.13/1.33 (define @t591 () (= @t590 (tptp.multiply @t561 @t562))) % 1.13/1.33 (define @t592 () (tptp.multiply tptp.sk_c4 @t562)) % 1.13/1.33 (define @t593 () (= (tptp.multiply @t585 tptp.sk_c7) @t592)) % 1.13/1.33 (define @t594 () (tptp.multiply @t27 @t579)) % 1.13/1.33 (define @t595 () (= (tptp.multiply @t427 @t573) @t594)) % 1.13/1.33 (define @t596 () (tptp.multiply @t533 @t573)) % 1.13/1.33 (define @t597 () (= @t596 (tptp.multiply tptp.sk_c4 @t579))) % 1.13/1.33 (define @t598 () (tptp.multiply @t561 @t12)) % 1.13/1.33 (define @t599 () (tptp.multiply @t598 @t573)) % 1.13/1.33 (define @t600 () (= @t599 (tptp.multiply @t561 @t579))) % 1.13/1.33 (define @t601 () (tptp.multiply @t97 @t579)) % 1.13/1.33 (define @t602 () (= (tptp.multiply @t534 @t573) @t601)) % 1.13/1.33 (define @t603 () (and @t373 @t130 @t147 @t394 @t566 @t563 @t102 @t99 @t371 @t368 @t365 @t574 @t135 @t140 @t509 @t516 @t577 @t232 @t578 @t581 @t421 @t584 @t588 @t591 @t593 @t502 @t595 @t597 @t600 @t602)) % 1.13/1.33 (define @t604 () (@list @t96)) % 1.13/1.33 (define @t605 () (@list true)) % 1.13/1.33 (define @t606 () (@list @t147)) % 1.13/1.33 (define @t607 () (@list @t120)) % 1.13/1.33 (define @t608 () (@list false false false)) % 1.13/1.33 (assume @p1 @t4) % 1.13/1.33 (assume @p2 @t6) % 1.13/1.33 (assume @p3 @t9) % 1.13/1.33 (assume @p4 @t14) % 1.13/1.33 (assume @p5 @t17) % 1.13/1.33 (assume @p6 @t20) % 1.13/1.33 (assume @p7 @t23) % 1.13/1.33 (assume @p8 @t26) % 1.13/1.33 (assume @p9 @t29) % 1.13/1.33 (assume @p10 (or @t28 @t16)) % 1.13/1.33 (assume @p11 @t30) % 1.13/1.33 (assume @p12 @t31) % 1.13/1.33 (assume @p13 @t32) % 1.13/1.33 (assume @p14 @t35) % 1.13/1.33 (assume @p15 @t36) % 1.13/1.33 (assume @p16 (or @t34 @t19)) % 1.13/1.33 (assume @p17 (or @t34 @t22)) % 1.13/1.33 (assume @p18 (or @t34 @t25)) % 1.13/1.33 (assume @p19 @t39) % 1.13/1.33 (assume @p20 @t40) % 1.13/1.33 (assume @p21 (or @t38 @t19)) % 1.13/1.33 (assume @p22 (or @t38 @t22)) % 1.13/1.33 (assume @p23 (or @t38 @t25)) % 1.13/1.33 (assume @p24 @t43) % 1.13/1.33 (assume @p25 @t44) % 1.13/1.33 (assume @p26 @t45) % 1.13/1.33 (assume @p27 @t46) % 1.13/1.33 (assume @p28 @t47) % 1.13/1.33 (assume @p29 @t50) % 1.13/1.33 (assume @p30 @t51) % 1.13/1.33 (assume @p31 @t52) % 1.13/1.33 (assume @p32 @t53) % 1.13/1.33 (assume @p33 @t54) % 1.13/1.33 (assume @p34 @t57) % 1.13/1.33 (assume @p35 @t58) % 1.13/1.33 (assume @p36 @t59) % 1.13/1.33 (assume @p37 @t60) % 1.13/1.33 (assume @p38 @t61) % 1.13/1.33 (assume @p39 @t92) % 1.13/1.33 (step @p40 :rule refl :args (@t105)) % 1.13/1.33 (step @p41 :rule bool-double-not-elim :args (@t96)) % 1.13/1.33 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t106) @t105))) % 1.13/1.33 (assume-push @p2403 @t106) % 1.13/1.33 (step @p44 :rule skolemize :premises (@p2403)) % 1.13/1.33 (step-pop @p2404 :rule scope :premises (@p44)) % 1.13/1.33 (step @p45 :rule process_scope :premises (@p2404) :args (@t105)) % 1.13/1.33 (step @p47 :rule implies_elim :premises (@p45)) % 1.13/1.33 (step @p48 :rule eq_resolve :premises (@p47 @p42)) % 1.13/1.33 (step @p49 :rule bool-double-not-elim :args (@t102)) % 1.13/1.33 (step @p50 :rule refl :args (@t104)) % 1.13/1.33 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t104 (not @t103)))) % 1.13/1.33 (step @p52 :rule cnf_or_neg :args (@t104 0)) % 1.13/1.33 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 1.13/1.33 (step @p54 :rule reordering :premises (@p53) :args ((or @t102 @t104))) % 1.13/1.33 (step @p55 :rule bool-double-not-elim :args (@t99)) % 1.13/1.33 (step @p56 :rule nary_cong :premises (@p50 @p55) :args ((or @t104 (not @t100)))) % 1.13/1.33 (step @p57 :rule cnf_or_neg :args (@t104 1)) % 1.13/1.33 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 1.13/1.33 (step @p59 :rule reordering :premises (@p58) :args ((or @t99 @t104))) % 1.13/1.33 (step @p60 :rule bool-double-not-elim :args (@t115)) % 1.13/1.33 (step @p61 :rule refl :args (@t120)) % 1.13/1.33 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t120 (not @t119)))) % 1.13/1.33 (step @p63 :rule cnf_or_neg :args (@t120 0)) % 1.13/1.33 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 1.13/1.33 (step @p65 :rule reordering :premises (@p64) :args ((or @t115 @t120))) % 1.13/1.33 (step @p66 :rule bool-double-not-elim :args (@t117)) % 1.13/1.33 (step @p67 :rule nary_cong :premises (@p61 @p66) :args ((or @t120 (not @t118)))) % 1.13/1.33 (step @p68 :rule cnf_or_neg :args (@t120 1)) % 1.13/1.33 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 1.13/1.33 (step @p70 :rule reordering :premises (@p69) :args ((or @t117 @t120))) % 1.13/1.33 (step @p71 :rule eq-symm :args (@t5 tptp.identity)) % 1.13/1.33 (step @p72 :rule cong :premises (@p71) :args (@t6)) % 1.13/1.33 (step @p73 :rule eq_resolve :premises (@p2 @p72)) % 1.13/1.33 (step @p74 :rule instantiate :premises (@p73) :args (@t121)) % 1.13/1.33 (step @p75 :rule eq-symm :args (@t2 @t1)) % 1.13/1.33 (step @p76 :rule cong :premises (@p75) :args (@t4)) % 1.13/1.33 (step @p77 :rule eq_resolve :premises (@p1 @p76)) % 1.13/1.33 (step @p78 :rule instantiate :premises (@p77) :args (@t122)) % 1.13/1.33 (step @p79 :rule instantiate :premises (@p3) :args ((@list @t116 @t112 tptp.sk_c8))) % 1.13/1.33 (step @p80 :rule eq-symm :args (@t10 tptp.sk_c8)) % 1.13/1.33 (step @p81 :rule eq-symm :args (@t12 tptp.sk_c7)) % 1.13/1.33 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t14)) % 1.13/1.33 (step @p83 :rule eq_resolve :premises (@p4 @p82)) % 1.13/1.33 (step @p84 :rule eq-symm :args (@t15 tptp.sk_c8)) % 1.13/1.33 (step @p85 :rule nary_cong :premises (@p81 @p84) :args (@t17)) % 1.13/1.33 (step @p86 :rule eq_resolve :premises (@p5 @p85)) % 1.13/1.33 (step @p87 :rule eq-symm :args (@t18 tptp.sk_c7)) % 1.13/1.33 (step @p88 :rule nary_cong :premises (@p81 @p87) :args (@t20)) % 1.13/1.33 (step @p89 :rule eq_resolve :premises (@p6 @p88)) % 1.13/1.33 (step @p90 :rule eq-symm :args (@t21 tptp.sk_c6)) % 1.13/1.33 (step @p91 :rule nary_cong :premises (@p81 @p90) :args (@t23)) % 1.13/1.33 (step @p92 :rule eq_resolve :premises (@p7 @p91)) % 1.13/1.33 (step @p93 :rule eq-symm :args (@t24 tptp.sk_c8)) % 1.13/1.33 (step @p94 :rule nary_cong :premises (@p81 @p93) :args (@t26)) % 1.13/1.33 (step @p95 :rule eq_resolve :premises (@p8 @p94)) % 1.13/1.33 (assume-push @p2405 @t123) % 1.13/1.33 (assume-push @p2406 @t124) % 1.13/1.33 (assume-push @p2407 @t124) % 1.13/1.33 (assume-push @p2408 @t123) % 1.13/1.33 (step @p100 :rule refl :args (tptp.sk_c8)) % 1.13/1.33 (step @p101 :rule cong :premises (@p100 @p2406) :args (@t18)) % 1.13/1.33 (step @p102 :rule trans :premises (@p2405 @p101)) % 1.13/1.33 (step-pop @p2409 :rule scope :premises (@p102)) % 1.13/1.33 (step-pop @p2410 :rule scope :premises (@p2409)) % 1.13/1.33 (step @p103 :rule process_scope :premises (@p2410) :args (@t126)) % 1.13/1.33 (step @p106 :rule and_intro :premises (@p2406 @p2405)) % 1.13/1.33 (step @p107 :rule modus_ponens :premises (@p106 @p103)) % 1.13/1.33 (step-pop @p2411 :rule scope :premises (@p107)) % 1.13/1.33 (step-pop @p2412 :rule scope :premises (@p2411)) % 1.13/1.33 (step @p108 :rule process_scope :premises (@p2412) :args (@t126)) % 1.13/1.33 (step @p111 :rule implies_elim :premises (@p108)) % 1.13/1.33 (step @p112 :rule cnf_and_neg :args (@t127)) % 1.13/1.33 (step @p113 :rule resolution :premises (@p112 @p111) :args (true @t127)) % 1.13/1.33 (step @p114 :rule instantiate :premises (@p73) :args (@t128)) % 1.13/1.33 (step @p115 :rule instantiate :premises (@p73) :args (@t129)) % 1.13/1.33 (step @p116 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 tptp.sk_c5 tptp.sk_c8))) % 1.13/1.33 (assume-push @p2413 @t130) % 1.13/1.33 (assume-push @p2414 @t123) % 1.13/1.33 (assume-push @p2415 @t124) % 1.13/1.33 (assume-push @p2416 @t131) % 1.13/1.33 (assume-push @p2417 @t133) % 1.13/1.33 (assume-push @p2418 @t135) % 1.13/1.33 (assume-push @p2419 @t138) % 1.13/1.33 (assume-push @p2420 @t140) % 1.13/1.33 (assume-push @p2421 @t130) % 1.13/1.33 (assume-push @p2422 @t140) % 1.13/1.33 (assume-push @p2423 @t135) % 1.13/1.33 (assume-push @p2424 @t133) % 1.13/1.33 (assume-push @p2425 @t131) % 1.13/1.33 (assume-push @p2426 @t138) % 1.13/1.33 (assume-push @p2427 @t124) % 1.13/1.33 (assume-push @p2428 @t123) % 1.13/1.33 (step @p133 :rule symm :premises (@p78)) % 1.13/1.33 (step @p100 :rule refl :args (tptp.sk_c8)) % 1.13/1.33 (step @p134 :rule symm :premises (@p115)) % 1.13/1.33 (step @p135 :rule symm :premises (@p114)) % 1.13/1.33 (step @p136 :rule refl :args (tptp.sk_c5)) % 1.13/1.33 (step @p137 :rule cong :premises (@p2416 @p136) :args (@t136)) % 1.13/1.33 (step @p138 :rule trans :premises (@p137 @p135 @p115)) % 1.13/1.33 (step @p139 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@p3221 @t566) % 1.13/1.33 (assume-push @p3222 @t563) % 1.13/1.33 (assume-push @p3223 @t102) % 1.13/1.33 (assume-push @p3224 @t99) % 1.13/1.33 (assume-push @p3225 @t371) % 1.13/1.33 (assume-push @p3226 @t368) % 1.13/1.33 (assume-push @p3227 @t365) % 1.13/1.33 (assume-push @p3228 @t574) % 1.13/1.33 (assume-push @p3229 @t135) % 1.13/1.33 (assume-push @p3230 @t140) % 1.13/1.33 (assume-push @p3231 @t509) % 1.13/1.33 (assume-push @p3232 @t516) % 1.13/1.33 (assume-push @p3233 @t577) % 1.13/1.33 (assume-push @p3234 @t232) % 1.13/1.33 (assume-push @p3235 @t578) % 1.13/1.33 (assume-push @p3236 @t581) % 1.13/1.33 (assume-push @p3237 @t421) % 1.13/1.33 (assume-push @p3238 @t584) % 1.13/1.33 (assume-push @p3239 @t588) % 1.13/1.33 (assume-push @p3240 @t591) % 1.13/1.33 (assume-push @p3241 @t593) % 1.13/1.33 (assume-push @p3242 @t502) % 1.13/1.33 (assume-push @p3243 @t595) % 1.13/1.33 (assume-push @p3244 @t597) % 1.13/1.33 (assume-push @p3245 @t600) % 1.13/1.33 (assume-push @p3246 @t602) % 1.13/1.33 (assume-push @p3247 @t147) % 1.13/1.33 (assume-push @p3248 @t373) % 1.13/1.33 (assume-push @p3249 @t371) % 1.13/1.33 (assume-push @p3250 @t574) % 1.13/1.33 (assume-push @p3251 @t578) % 1.13/1.33 (assume-push @p3252 @t135) % 1.13/1.33 (assume-push @p3253 @t99) % 1.13/1.33 (assume-push @p3254 @t581) % 1.13/1.33 (assume-push @p3255 @t566) % 1.13/1.33 (assume-push @p3256 @t140) % 1.13/1.33 (assume-push @p3257 @t509) % 1.13/1.33 (assume-push @p3258 @t516) % 1.13/1.33 (assume-push @p3259 @t394) % 1.13/1.33 (assume-push @p3260 @t595) % 1.13/1.33 (assume-push @p3261 @t368) % 1.13/1.33 (assume-push @p3262 @t602) % 1.13/1.33 (assume-push @p3263 @t102) % 1.13/1.33 (assume-push @p3264 @t597) % 1.13/1.33 (assume-push @p3265 @t232) % 1.13/1.33 (assume-push @p3266 @t588) % 1.13/1.33 (assume-push @p3267 @t365) % 1.13/1.33 (assume-push @p3268 @t130) % 1.13/1.33 (assume-push @p3269 @t502) % 1.13/1.33 (assume-push @p3270 @t563) % 1.13/1.33 (assume-push @p3271 @t593) % 1.13/1.33 (assume-push @p3272 @t600) % 1.13/1.33 (assume-push @p3273 @t591) % 1.13/1.33 (assume-push @p3274 @t577) % 1.13/1.33 (assume-push @p3275 @t584) % 1.13/1.33 (assume-push @p3276 @t421) % 1.13/1.33 (step @p100 :rule refl :args (tptp.sk_c8)) % 1.13/1.33 (step @p2175 :rule symm :premises (@p3217)) % 1.13/1.33 (step @p2176 :rule cong :premises (@p2175 @p100) :args (@t370)) % 1.13/1.33 (step @p2177 :rule symm :premises (@p2103)) % 1.13/1.33 (step @p2178 :rule symm :premises (@p2105)) % 1.13/1.33 (step @p2179 :rule refl :args (@t561)) % 1.13/1.33 (step @p134 :rule symm :premises (@p115)) % 1.13/1.33 (step @p518 :rule refl :args (@t97)) % 1.13/1.33 (step @p2180 :rule cong :premises (@p3224 @p518) :args (@t535)) % 1.13/1.33 (step @p2181 :rule cong :premises (@p2175 @p518) :args (@t211)) % 1.13/1.33 (step @p2182 :rule trans :premises (@p2181 @p2180)) % 1.13/1.33 (step @p2183 :rule trans :premises (@p2182 @p134)) % 1.13/1.33 (step @p2184 :rule cong :premises (@p2183 @p2179) :args (@t580)) % 1.13/1.33 (step @p2185 :rule symm 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1.13/1.33 (step @p2196 :rule symm :premises (@p3220)) % 1.13/1.33 (step @p2197 :rule trans :premises (@p2196 @p2195)) % 1.13/1.33 (step @p2198 :rule cong :premises (@p2197 @p2186) :args (@t594)) % 1.13/1.33 (step @p2199 :rule cong :premises (@p518 @p2186) :args (@t601)) % 1.13/1.33 (step @p2200 :rule refl :args (@t573)) % 1.13/1.33 (step @p2201 :rule cong :premises (@p518 @p3217) :args (@t101)) % 1.13/1.33 (step @p2202 :rule trans :premises (@p3223 @p2201)) % 1.13/1.33 (step @p2203 :rule symm :premises (@p3219)) % 1.13/1.33 (step @p573 :rule refl :args (tptp.sk_c4)) % 1.13/1.33 (step @p2204 :rule cong :premises (@p573 @p2175) :args (@t533)) % 1.13/1.33 (step @p2205 :rule trans :premises (@p2204 @p2203)) % 1.13/1.33 (step @p2206 :rule trans :premises (@p2205 @p2202)) % 1.13/1.33 (step @p2207 :rule cong :premises (@p2206 @p2200) :args (@t596)) % 1.13/1.33 (step @p2208 :rule symm :premises (@p2112)) % 1.13/1.33 (step @p587 :rule symm :premises (@p290)) % 1.13/1.33 (step @p2209 :rule cong :premises (@p587 @p2189) :args (@t587)) % 1.13/1.33 (step @p2210 :rule cong :premises (@p290 @p2179) :args (@t585)) % 1.13/1.33 (step @p2211 :rule trans :premises (@p2210 @p2209 @p2208 @p2207 @p2114 @p2199)) % 1.13/1.33 (step @p592 :rule refl :args (@t27)) % 1.13/1.33 (step @p2212 :rule cong :premises (@p592 @p3217) :args (@t367)) % 1.13/1.33 (step @p2213 :rule trans :premises (@p134 @p191 @p2212)) % 1.13/1.33 (step @p2214 :rule trans :premises (@p115 @p2213)) % 1.13/1.33 (step @p2215 :rule cong :premises (@p2214 @p2211) :args (@t586)) % 1.13/1.33 (step @p2216 :rule symm :premises (@p2209)) % 1.13/1.33 (step @p2217 :rule symm :premises (@p2207)) % 1.13/1.33 (step @p2218 :rule symm :premises (@p2114)) % 1.13/1.33 (step @p2219 :rule symm :premises (@p2199)) % 1.13/1.33 (step @p2220 :rule trans :premises (@p2219 @p2218 @p2217 @p2112 @p2216 @p2108 @p2215 @p2111 @p2198 @p2194 @p2188 @p2177 @p190 @p2176)) % 1.13/1.33 (step @p2221 :rule cong :premises (@p2205 @p2220) :args (@t596)) % 1.13/1.33 (step @p2222 :rule symm :premises (@p2108)) % 1.13/1.33 (step @p2223 :rule symm :premises (@p2215)) % 1.13/1.33 (step @p2224 :rule symm :premises (@p2111)) % 1.13/1.33 (step @p2225 :rule symm :premises (@p2198)) % 1.13/1.33 (step @p2226 :rule symm :premises (@p2194)) % 1.13/1.33 (step @p2227 :rule symm :premises (@p2188)) % 1.13/1.33 (step @p588 :rule symm :premises (@p190)) % 1.13/1.33 (step @p2228 :rule symm :premises (@p192)) % 1.13/1.33 (step @p1834 :rule refl :args (@t10)) % 1.13/1.33 (step @p2229 :rule cong :premises (@p1834 @p587) :args (@t538)) % 1.13/1.33 (step @p2230 :rule cong :premises (@p3218 @p290) :args (@t382)) % 1.13/1.33 (step @p2231 :rule trans :premises (@p2230 @p2229 @p2228 @p115)) % 1.13/1.33 (step @p2232 :rule trans :premises (@p2231 @p134)) % 1.13/1.33 (step @p2233 :rule cong :premises (@p2232 @p100) :args (@t497)) % 1.13/1.33 (step @p2234 :rule symm :premises (@p3222)) % 1.13/1.33 (step @p2235 :rule cong :premises (@p573 @p2234) :args (@t592)) % 1.13/1.33 (step @p639 :rule refl :args (tptp.sk_c7)) % 1.13/1.33 (step @p2236 :rule symm :premises (@p2211)) % 1.13/1.33 (step @p2237 :rule cong :premises (@p2236 @p639) :args ((tptp.multiply @t573 tptp.sk_c7))) % 1.13/1.33 (step @p2238 :rule symm :premises (@p2210)) % 1.13/1.33 (step @p2239 :rule symm :premises (@p2205)) % 1.13/1.33 (step @p2240 :rule symm :premises (@p3224)) % 1.13/1.33 (step @p2241 :rule cong :premises (@p2179 @p2240) :args ((tptp.multiply @t561 @t98))) % 1.13/1.33 (step @p2242 :rule trans :premises (@p2241 @p2234)) % 1.13/1.33 (step @p2243 :rule symm :premises (@p2241)) % 1.13/1.33 (step @p2244 :rule cong :premises (@p2179 @p2175) :args (@t598)) % 1.13/1.33 (step @p2245 :rule trans :premises (@p2244 @p2243 @p2242 @p2239)) % 1.13/1.33 (step @p2246 :rule cong :premises (@p2245 @p2200) :args (@t599)) % 1.13/1.33 (step @p2247 :rule symm :premises (@p2113)) % 1.13/1.33 (step @p2248 :rule cong :premises (@p2179 @p2189) :args (@t589)) % 1.13/1.33 (step @p2249 :rule trans :premises (@p2248 @p2247 @p2246 @p2112 @p2216 @p2238)) % 1.13/1.33 (step @p2250 :rule trans :premises (@p2249 @p2211)) % 1.13/1.33 (step @p2251 :rule cong :premises (@p2250 @p639) :args (@t590)) % 1.13/1.33 (step @p2252 :rule symm :premises (@p2109)) % 1.13/1.33 (step @p2253 :rule cong :premises (@p2179 @p3222) :args (@t575)) % 1.13/1.33 (step @p2254 :rule trans :premises (@p2253 @p2252 @p2251 @p2237 @p2110 @p2235)) % 1.13/1.33 (step @p2255 :rule cong :premises (@p2196 @p2254) :args (@t576)) % 1.13/1.33 (step @p2256 :rule cong :premises (@p592 @p2186) :args (@t594)) % 1.13/1.34 (step @p2257 :rule trans :premises (@p2210 @p2108 @p2215 @p2111 @p2256)) % 1.13/1.34 (step @p2258 :rule trans :premises (@p2236 @p2257)) % 1.13/1.34 (step @p2259 :rule cong :premises (@p2258 @p100) :args (@t582)) % 1.13/1.34 (step @p2260 :rule trans :premises (@p2259 @p2104 @p2255 @p1631 @p2233 @p133)) % 1.13/1.34 (step @p626 :rule refl :args (@t12)) % 1.13/1.34 (step @p2261 :rule cong :premises (@p626 @p2260) :args (@t583)) % 1.13/1.34 (step @p2262 :rule cong :premises (@p2189 @p100) :args (@t575)) % 1.13/1.34 (step @p2263 :rule symm :premises (@p2253)) % 1.13/1.34 (step @p2264 :rule symm :premises (@p2248)) % 1.13/1.34 (step @p2265 :rule symm :premises (@p2246)) % 1.13/1.34 (step @p2266 :rule trans :premises (@p134 @p2103 @p2227 @p2226 @p2225 @p2224 @p2223 @p2222 @p2209 @p2208 @p2265 @p2113 @p2264)) % 1.13/1.34 (step @p2267 :rule trans :premises (@p115 @p2266)) % 1.13/1.34 (step @p2268 :rule cong :premises (@p2267 @p639) :args (@t420)) % 1.13/1.34 (step @p2269 :rule trans :premises (@p1193 @p2268 @p2109 @p2263 @p2262 @p2107 @p2261 @p588 @p2103 @p2227 @p2226 @p2225 @p2224 @p2223 @p2222 @p2209 @p2208 @p2221)) % 1.13/1.34 (step-pop @p3277 :rule scope :premises (@p2269)) % 1.13/1.34 (step-pop @p3278 :rule scope :premises (@p3277)) % 1.13/1.34 (step-pop @p3279 :rule scope :premises (@p3278)) % 1.13/1.34 (step-pop @p3280 :rule scope :premises (@p3279)) % 1.13/1.34 (step-pop @p3281 :rule scope 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1.13/1.34 (step-pop @p3298 :rule scope :premises (@p3297)) % 1.13/1.34 (step-pop @p3299 :rule scope :premises (@p3298)) % 1.13/1.34 (step-pop @p3300 :rule scope :premises (@p3299)) % 1.13/1.34 (step-pop @p3301 :rule scope :premises (@p3300)) % 1.13/1.34 (step-pop @p3302 :rule scope :premises (@p3301)) % 1.13/1.34 (step-pop @p3303 :rule scope :premises (@p3302)) % 1.13/1.34 (step-pop @p3304 :rule scope :premises (@p3303)) % 1.13/1.34 (step-pop @p3305 :rule scope :premises (@p3304)) % 1.13/1.34 (step-pop @p3306 :rule scope :premises (@p3305)) % 1.13/1.34 (step @p2270 :rule process_scope :premises (@p3306) :args (@t555)) % 1.13/1.34 (step @p2301 :rule and_intro :premises (@p3219 @p3217 @p190 @p2103 @p2105 @p115 @p3224 @p2106 @p3221 @p78 @p1594 @p1606 @p3220 @p2111 @p191 @p2114 @p3223 @p2112 @p290 @p2108 @p192 @p3218 @p1631 @p3222 @p2110 @p2113 @p2109 @p2104 @p2107 @p1193)) % 1.13/1.34 (step @p2302 :rule modus_ponens :premises (@p2301 @p2270)) % 1.13/1.34 (step-pop @p3307 :rule scope 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1.13/1.34 (step-pop @p3324 :rule scope :premises (@p3323)) % 1.13/1.34 (step-pop @p3325 :rule scope :premises (@p3324)) % 1.13/1.34 (step-pop @p3326 :rule scope :premises (@p3325)) % 1.13/1.34 (step-pop @p3327 :rule scope :premises (@p3326)) % 1.13/1.34 (step-pop @p3328 :rule scope :premises (@p3327)) % 1.13/1.34 (step-pop @p3329 :rule scope :premises (@p3328)) % 1.13/1.34 (step-pop @p3330 :rule scope :premises (@p3329)) % 1.13/1.34 (step-pop @p3331 :rule scope :premises (@p3330)) % 1.13/1.34 (step-pop @p3332 :rule scope :premises (@p3331)) % 1.13/1.34 (step-pop @p3333 :rule scope :premises (@p3332)) % 1.13/1.34 (step-pop @p3334 :rule scope :premises (@p3333)) % 1.13/1.34 (step-pop @p3335 :rule scope :premises (@p3334)) % 1.13/1.34 (step-pop @p3336 :rule scope :premises (@p3335)) % 1.13/1.34 (step @p2303 :rule process_scope :premises (@p3336) :args (@t555)) % 1.13/1.34 (step @p2334 :rule implies_elim :premises (@p2303)) % 1.13/1.34 (step @p2335 :rule cnf_and_neg :args (@t603)) % 1.13/1.34 (step @p2336 :rule resolution :premises (@p2335 @p2334) :args (true @t603)) % 1.13/1.34 (step @p2337 :rule reordering :premises (@p2336) :args ((or @t377 @t443 @t376 @t148 @t567 @t564 @t103 @t100 @t372 @t369 @t366 (not @t574) @t359 @t352 @t542 @t541 (not @t577) @t233 (not @t578) (not @t581) @t555 @t434 (not @t584) (not @t588) (not @t591) (not @t593) @t540 (not @t595) (not @t597) (not @t600) (not @t602)))) % 1.13/1.34 (step @p2338 :rule chain_m_resolution :premises (@p2337 @p1569 @p2114 @p2113 @p2112 @p2111 @p1631 @p2110 @p2109 @p2108 @p2107 @p1193 @p1047 @p2106 @p2105 @p290 @p2104 @p1606 @p1594 @p78 @p115 @p2103 @p192 @p191 @p190 @p2102 @p2100 @p2095 @p2089 @p1914 @p1909 @p1569) :args ((or @t443 @t148 @t103 @t100 @t571) (@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 true false false true true true false) (@list @t130 @t602 @t600 @t597 @t595 @t502 @t593 @t591 @t588 @t584 @t421 @t373 @t581 @t578 @t232 @t577 @t516 @t509 @t140 @t135 @t574 @t365 @t368 @t371 @t555 @t566 @t563 @t568 @t456 @t543 @t130))) % 1.13/1.34 (step @p2339 :rule nary_cong :premises (@p1107 @p84) :args (@t44)) % 1.13/1.34 (step @p2340 :rule eq_resolve :premises (@p25 @p2339)) % 1.13/1.34 (step @p2341 :rule reordering :premises (@p2340) :args ((or @t147 @t397))) % 1.13/1.34 (step @p2342 :rule nary_cong :premises (@p1111 @p84) :args (@t51)) % 1.13/1.34 (step @p2343 :rule eq_resolve :premises (@p30 @p2342)) % 1.13/1.34 (step @p2344 :rule reordering :premises (@p2343) :args ((or @t147 @t398))) % 1.13/1.34 (step @p2345 :rule nary_cong :premises (@p1115 @p84) :args (@t58)) % 1.13/1.34 (step @p2346 :rule eq_resolve :premises (@p35 @p2345)) % 1.13/1.34 (step @p2347 :rule reordering :premises (@p2346) :args ((or @t147 @t399))) % 1.13/1.34 (step @p2348 :rule chain_m_resolution :premises (@p1137 @p1135 @p2347 @p2344 @p2341 @p2338 @p2080 @p2070 @p1569 @p1631 @p290 @p78 @p115 @p192 @p2019 @p1569 @p2017 @p1142 @p2012 @p189 @p2007 @p59 @p54 @p48) :args (@t96 (@list false false false false true false true false false false false false false true false false false false false false false false true) (@list @t401 @t399 @t398 @t397 @t147 @t394 @t141 @t130 @t502 @t232 @t140 @t135 @t365 @t552 @t130 @t557 @t405 @t554 @t111 @t120 @t99 @t102 @t104))) % 1.13/1.34 (step @p2349 :rule chain_m_resolution :premises (@p1487 @p2348) :args (@t449 @t159 @t604)) % 1.13/1.34 (step @p2350 :rule chain_m_resolution :premises (@p180 @p2348) :args (@t149 @t159 @t604)) % 1.13/1.34 (step @p2351 :rule chain_m_resolution :premises (@p1591 @p1569 @p1094 @p1047 @p79 @p78 @p74 @p70 @p65) :args ((or @t120 @t141) @t559 (@list @t130 @t392 @t373 @t390 @t140 @t361 @t117 @t115))) % 1.13/1.34 (step @p2352 :rule nary_cong :premises (@p1111 @p87) :args (@t52)) % 1.13/1.34 (step @p2353 :rule eq_resolve :premises (@p31 @p2352)) % 1.13/1.34 (step @p2354 :rule reordering :premises (@p2353) :args ((or @t123 @t398))) % 1.13/1.34 (step @p2355 :rule nary_cong :premises (@p1111 @p90) :args (@t53)) % 1.13/1.34 (step @p2356 :rule eq_resolve :premises (@p32 @p2355)) % 1.13/1.34 (step @p2357 :rule reordering :premises (@p2356) :args ((or @t124 @t398))) % 1.13/1.34 (step @p2358 :rule nary_cong :premises (@p1111 @p93) :args (@t54)) % 1.13/1.34 (step @p2359 :rule eq_resolve :premises (@p33 @p2358)) % 1.13/1.34 (step @p2360 :rule reordering :premises (@p2359) :args ((or @t131 @t398))) % 1.13/1.34 (step @p2361 :rule chain_m_resolution :premises (@p166 @p1569 @p78 @p116 @p115 @p114 @p2360 @p2357 @p2354) :args ((or @t398 @t141) @t559 @t560)) % 1.13/1.34 (step @p2362 :rule nary_cong :premises (@p1107 @p87) :args (@t45)) % 1.13/1.34 (step @p2363 :rule eq_resolve :premises (@p26 @p2362)) % 1.13/1.34 (step @p2364 :rule reordering :premises (@p2363) :args ((or @t123 @t397))) % 1.13/1.34 (step @p2365 :rule nary_cong :premises (@p1107 @p90) :args (@t46)) % 1.13/1.34 (step @p2366 :rule eq_resolve :premises (@p27 @p2365)) % 1.13/1.34 (step @p2367 :rule reordering :premises (@p2366) :args ((or @t124 @t397))) % 1.13/1.34 (step @p2368 :rule nary_cong :premises (@p1107 @p93) :args (@t47)) % 1.13/1.34 (step @p2369 :rule eq_resolve :premises (@p28 @p2368)) % 1.13/1.34 (step @p2370 :rule reordering :premises (@p2369) :args ((or @t131 @t397))) % 1.13/1.34 (step @p2371 :rule chain_m_resolution :premises (@p166 @p1569 @p78 @p116 @p115 @p114 @p2370 @p2367 @p2364) :args ((or @t397 @t141) @t559 @t560)) % 1.13/1.34 (step @p2372 :rule nary_cong :premises (@p1115 @p87) :args (@t59)) % 1.13/1.34 (step @p2373 :rule eq_resolve :premises (@p36 @p2372)) % 1.13/1.34 (step @p2374 :rule reordering :premises (@p2373) :args ((or @t123 @t399))) % 1.13/1.34 (step @p2375 :rule nary_cong :premises (@p1115 @p90) :args (@t60)) % 1.13/1.34 (step @p2376 :rule eq_resolve :premises (@p37 @p2375)) % 1.13/1.34 (step @p2377 :rule reordering :premises (@p2376) :args ((or @t124 @t399))) % 1.13/1.34 (step @p2378 :rule nary_cong :premises (@p1115 @p93) :args (@t61)) % 1.13/1.34 (step @p2379 :rule eq_resolve :premises (@p38 @p2378)) % 1.13/1.34 (step @p2380 :rule reordering :premises (@p2379) :args ((or @t131 @t399))) % 1.13/1.34 (step @p2381 :rule chain_m_resolution :premises (@p166 @p1569 @p78 @p116 @p115 @p114 @p2380 @p2377 @p2374 @p1137 @p1135 @p2371 @p2361 @p1142 @p189 @p2351) :args (@t141 (@list false false false false false false false false true false false false false false false) (@list @t130 @t140 @t138 @t135 @t133 @t131 @t124 @t123 @t399 @t401 @t397 @t398 @t405 @t111 @t120))) % 1.13/1.34 (step @p2382 :rule chain_m_resolution :premises (@p170 @p2381 @p2350) :args (@t148 (@list false false) (@list @t141 @t149))) % 1.13/1.34 (step @p2383 :rule chain_m_resolution :premises (@p1137 @p1135 @p2347 @p2344 @p2341) :args ((or @t147 @t406) (@list false false false false) (@list @t401 @t399 @t398 @t397))) % 1.13/1.34 (step @p2384 :rule chain_m_resolution :premises (@p2383 @p2382) :args (@t406 @t605 @t606)) % 1.13/1.34 (step @p2385 :rule chain_m_resolution :premises (@p1142 @p2384) :args (@t152 @t605 (@list @t405))) % 1.13/1.34 (step @p2386 :rule chain_m_resolution :premises (@p189 @p2385) :args (@t151 @t605 (@list @t111))) % 1.13/1.34 (step @p2387 :rule chain_m_resolution :premises (@p70 @p2386) :args (@t117 @t605 @t607)) % 1.13/1.34 (step @p2388 :rule chain_m_resolution :premises (@p65 @p2386) :args (@t115 @t605 @t607)) % 1.13/1.34 (step @p2389 :rule chain_m_resolution :premises (@p1094 @p1047 @p2388 @p2387 @p74 @p78 @p79) :args (@t392 (@list false false false false false false) (@list @t373 @t115 @t117 @t361 @t140 @t390))) % 1.13/1.34 (step @p2390 :rule chain_m_resolution :premises (@p2344 @p2382) :args (@t398 @t605 @t606)) % 1.13/1.34 (step @p2391 :rule chain_m_resolution :premises (@p2341 @p2382) :args (@t397 @t605 @t606)) % 1.13/1.34 (step @p2392 :rule nary_cong :premises (@p1103 @p84) :args (@t40)) % 1.13/1.34 (step @p2393 :rule eq_resolve :premises (@p20 @p2392)) % 1.13/1.34 (step @p2394 :rule reordering :premises (@p2393) :args ((or @t147 @t396))) % 1.13/1.34 (step @p2395 :rule chain_m_resolution :premises (@p2394 @p2382) :args (@t396 @t605 @t606)) % 1.13/1.34 (step @p2396 :rule nary_cong :premises (@p1099 @p84) :args (@t36)) % 1.13/1.34 (step @p2397 :rule eq_resolve :premises (@p15 @p2396)) % 1.13/1.34 (step @p2398 :rule reordering :premises (@p2397) :args ((or @t147 @t395))) % 1.13/1.34 (step @p2399 :rule chain_m_resolution :premises (@p2398 @p2382) :args (@t395 @t605 @t606)) % 1.13/1.34 (step @p2400 :rule chain_m_resolution :premises (@p1960 @p1047 @p1569 @p2381) :args (@t394 @t608 (@list @t373 @t130 @t141))) % 1.13/1.34 (step @p2401 :rule chain_m_resolution :premises (@p1478 @p1047 @p2400 @p2399 @p2395 @p2391 @p2390 @p2388 @p2387 @p191 @p1189 @p74 @p115 @p203 @p78 @p226 @p246 @p79 @p1191 @p1192 @p1193 @p1195) :args (@t445 (@list false false false false false false false false false false false false false false false false false false false false false) (@list @t373 @t394 @t395 @t396 @t397 @t398 @t115 @t117 @t368 @t411 @t361 @t135 @t158 @t140 @t304 @t294 @t390 @t416 @t419 @t421 @t425))) % 1.13/1.34 (step @p2402 false :rule chain_m_resolution :premises (@p1480 @p2401 @p2389 @p2349) :args (false @t608 (@list @t445 @t392 @t449))) % 1.13/1.34 ) % 1.13/1.34 % SZS output end Proof % 1.13/1.34 % cvc5 exiting %------------------------------------------------------------------------------