%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP296-1 : 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 : n018.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 08:20:25 AM UTC 2026 % Result : Unsatisfiable 0.61s 0.85s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP296-1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n018.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 01:01:05 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.85 % SZS status Unsatisfiable % 0.61/0.85 % SZS output start Proof % 0.61/0.90 ( % 0.61/0.90 (declare-sort $$unsorted 0) % 0.61/0.90 (declare-const tptp.sk_c5 $$unsorted) % 0.61/0.90 (declare-const tptp.sk_c6 $$unsorted) % 0.61/0.90 (declare-const tptp.sk_c1 $$unsorted) % 0.61/0.90 (declare-const tptp.sk_c8 $$unsorted) % 0.61/0.90 (declare-const tptp.sk_c7 $$unsorted) % 0.61/0.90 (declare-const tptp.sk_c2 $$unsorted) % 0.61/0.90 (declare-const tptp.sk_c3 $$unsorted) % 0.61/0.90 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.61/0.90 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.90 (declare-const tptp.sk_c4 $$unsorted) % 0.61/0.90 (declare-const tptp.identity $$unsorted) % 0.61/0.90 (define @t1 () (@var "X" $$unsorted)) % 0.61/0.90 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.61/0.90 (define @t3 () (@list @t1)) % 0.61/0.90 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.61/0.90 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.61/0.90 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.61/0.90 (define @t7 () (@var "Z" $$unsorted)) % 0.61/0.90 (define @t8 () (@var "Y" $$unsorted)) % 0.61/0.90 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.61/0.90 (define @t10 () (tptp.multiply tptp.sk_c6 tptp.sk_c8)) % 0.61/0.90 (define @t11 () (= @t10 tptp.sk_c7)) % 0.61/0.90 (define @t12 () (tptp.multiply tptp.sk_c8 tptp.sk_c7)) % 0.61/0.90 (define @t13 () (= @t12 tptp.sk_c6)) % 0.61/0.90 (define @t14 () (or @t13 @t11)) % 0.61/0.90 (define @t15 () (tptp.multiply tptp.sk_c8 tptp.sk_c4)) % 0.61/0.90 (define @t16 () (= @t15 tptp.sk_c7)) % 0.61/0.90 (define @t17 () (or @t13 @t16)) % 0.61/0.90 (define @t18 () (tptp.multiply tptp.sk_c3 tptp.sk_c8)) % 0.61/0.90 (define @t19 () (= @t18 tptp.sk_c4)) % 0.61/0.90 (define @t20 () (or @t13 @t19)) % 0.61/0.90 (define @t21 () (tptp.inverse tptp.sk_c3)) % 0.61/0.90 (define @t22 () (= @t21 tptp.sk_c8)) % 0.61/0.90 (define @t23 () (or @t13 @t22)) % 0.61/0.90 (define @t24 () (tptp.multiply tptp.sk_c5 tptp.sk_c6)) % 0.61/0.90 (define @t25 () (= @t24 tptp.sk_c8)) % 0.61/0.90 (define @t26 () (or @t13 @t25)) % 0.61/0.90 (define @t27 () (tptp.inverse tptp.sk_c5)) % 0.61/0.90 (define @t28 () (= @t27 tptp.sk_c6)) % 0.61/0.90 (define @t29 () (or @t13 @t28)) % 0.61/0.90 (define @t30 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 0.61/0.90 (define @t31 () (= @t30 tptp.sk_c7)) % 0.61/0.90 (define @t32 () (or @t31 @t16)) % 0.61/0.90 (define @t33 () (or @t31 @t19)) % 0.61/0.90 (define @t34 () (or @t31 @t22)) % 0.61/0.90 (define @t35 () (or @t31 @t25)) % 0.61/0.90 (define @t36 () (or @t31 @t28)) % 0.61/0.90 (define @t37 () (tptp.inverse tptp.sk_c1)) % 0.61/0.90 (define @t38 () (= @t37 tptp.sk_c8)) % 0.61/0.90 (define @t39 () (or @t38 @t16)) % 0.61/0.90 (define @t40 () (or @t38 @t19)) % 0.61/0.90 (define @t41 () (or @t38 @t22)) % 0.61/0.90 (define @t42 () (or @t38 @t25)) % 0.61/0.90 (define @t43 () (or @t38 @t28)) % 0.61/0.90 (define @t44 () (tptp.multiply tptp.sk_c8 tptp.sk_c6)) % 0.61/0.90 (define @t45 () (= @t44 tptp.sk_c7)) % 0.61/0.90 (define @t46 () (or @t45 @t11)) % 0.61/0.90 (define @t47 () (or @t45 @t16)) % 0.61/0.90 (define @t48 () (or @t45 @t19)) % 0.61/0.90 (define @t49 () (or @t45 @t22)) % 0.61/0.90 (define @t50 () (tptp.multiply tptp.sk_c2 tptp.sk_c8)) % 0.61/0.90 (define @t51 () (= @t50 tptp.sk_c6)) % 0.61/0.90 (define @t52 () (or @t51 @t19)) % 0.61/0.90 (define @t53 () (or @t51 @t22)) % 0.61/0.90 (define @t54 () (or @t51 @t25)) % 0.61/0.90 (define @t55 () (or @t51 @t28)) % 0.61/0.90 (define @t56 () (tptp.inverse tptp.sk_c2)) % 0.61/0.90 (define @t57 () (= @t56 tptp.sk_c8)) % 0.61/0.90 (define @t58 () (or @t57 @t19)) % 0.61/0.90 (define @t59 () (or @t57 @t22)) % 0.61/0.90 (define @t60 () (or @t57 @t25)) % 0.61/0.90 (define @t61 () (or @t57 @t28)) % 0.61/0.90 (define @t62 () (@var "X5" $$unsorted)) % 0.61/0.90 (define @t63 () (tptp.inverse @t62)) % 0.61/0.90 (define @t64 () (not (= @t63 tptp.sk_c6))) % 0.61/0.90 (define @t65 () (tptp.multiply @t62 tptp.sk_c6)) % 0.61/0.90 (define @t66 () (not (= @t65 tptp.sk_c8))) % 0.61/0.90 (define @t67 () (@var "X2" $$unsorted)) % 0.61/0.90 (define @t68 () (tptp.inverse @t67)) % 0.61/0.90 (define @t69 () (not (= @t68 tptp.sk_c8))) % 0.61/0.90 (define @t70 () (@var "X1" $$unsorted)) % 0.61/0.90 (define @t71 () (tptp.multiply @t67 tptp.sk_c8)) % 0.61/0.90 (define @t72 () (not (= @t71 @t70))) % 0.61/0.90 (define @t73 () (tptp.multiply tptp.sk_c8 @t70)) % 0.61/0.90 (define @t74 () (not (= @t73 tptp.sk_c7))) % 0.61/0.90 (define @t75 () (not @t11)) % 0.61/0.90 (define @t76 () (@var "X4" $$unsorted)) % 0.61/0.90 (define @t77 () (tptp.inverse @t76)) % 0.61/0.90 (define @t78 () (not (= @t77 tptp.sk_c8))) % 0.61/0.90 (define @t79 () (tptp.multiply @t76 tptp.sk_c8)) % 0.61/0.90 (define @t80 () (not (= @t79 tptp.sk_c6))) % 0.61/0.90 (define @t81 () (not @t45)) % 0.61/0.90 (define @t82 () (@var "X3" $$unsorted)) % 0.61/0.90 (define @t83 () (tptp.inverse @t82)) % 0.61/0.90 (define @t84 () (not (= @t83 tptp.sk_c8))) % 0.61/0.90 (define @t85 () (tptp.multiply @t82 tptp.sk_c8)) % 0.61/0.90 (define @t86 () (not (= @t85 tptp.sk_c7))) % 0.61/0.90 (define @t87 () (not @t13)) % 0.61/0.90 (define @t88 () (or @t87 @t86 @t84 @t81 @t80 @t78 @t75 @t74 @t72 @t69 @t66 @t64)) % 0.61/0.90 (define @t89 () (@list @t82 @t76 @t70 @t67 @t62)) % 0.61/0.90 (define @t90 () (forall @t89 @t88)) % 0.61/0.90 (define @t91 () (@list tptp.sk_c3)) % 0.61/0.90 (define @t92 () (not (= tptp.sk_c6 @t63))) % 0.61/0.90 (define @t93 () (not (= tptp.sk_c8 @t65))) % 0.61/0.90 (define @t94 () (or @t93 @t92)) % 0.61/0.90 (define @t95 () (forall (@list @t62) @t94)) % 0.61/0.90 (define @t96 () (@quantifiers_skolemize @t95 0)) % 0.61/0.90 (define @t97 () (@list @t96)) % 0.61/0.90 (define @t98 () (@list tptp.sk_c8)) % 0.61/0.90 (define @t99 () (tptp.multiply tptp.sk_c3 @t96)) % 0.61/0.90 (define @t100 () (tptp.multiply @t96 tptp.sk_c6)) % 0.61/0.90 (define @t101 () (= tptp.sk_c8 @t21)) % 0.61/0.90 (define @t102 () (= tptp.sk_c8 @t100)) % 0.61/0.90 (define @t103 () (tptp.inverse @t96)) % 0.61/0.90 (define @t104 () (= tptp.sk_c6 @t103)) % 0.61/0.90 (define @t105 () (tptp.multiply @t21 tptp.sk_c3)) % 0.61/0.90 (define @t106 () (= tptp.identity @t105)) % 0.61/0.90 (define @t107 () (tptp.multiply @t103 @t96)) % 0.61/0.90 (define @t108 () (= tptp.identity @t107)) % 0.61/0.90 (define @t109 () (tptp.multiply tptp.sk_c8 @t18)) % 0.61/0.90 (define @t110 () (tptp.multiply tptp.sk_c8 tptp.sk_c3)) % 0.61/0.90 (define @t111 () (tptp.multiply @t110 tptp.sk_c8)) % 0.61/0.90 (define @t112 () (= @t111 @t109)) % 0.61/0.90 (define @t113 () (tptp.multiply tptp.sk_c3 @t100)) % 0.61/0.90 (define @t114 () (tptp.multiply @t99 tptp.sk_c6)) % 0.61/0.90 (define @t115 () (= @t114 @t113)) % 0.61/0.90 (define @t116 () (tptp.multiply tptp.identity tptp.sk_c8)) % 0.61/0.90 (define @t117 () (= tptp.sk_c8 @t116)) % 0.61/0.90 (define @t118 () (tptp.multiply tptp.sk_c8 @t114)) % 0.61/0.90 (define @t119 () (tptp.multiply tptp.sk_c8 @t99)) % 0.61/0.90 (define @t120 () (tptp.multiply @t119 tptp.sk_c6)) % 0.61/0.90 (define @t121 () (= @t120 @t118)) % 0.61/0.90 (define @t122 () (tptp.multiply @t100 @t18)) % 0.61/0.90 (define @t123 () (tptp.multiply @t100 tptp.sk_c3)) % 0.61/0.90 (define @t124 () (tptp.multiply @t123 tptp.sk_c8)) % 0.61/0.90 (define @t125 () (= @t124 @t122)) % 0.61/0.90 (define @t126 () (tptp.multiply tptp.sk_c8 @t113)) % 0.61/0.90 (define @t127 () (tptp.multiply @t110 @t100)) % 0.61/0.90 (define @t128 () (= @t127 @t126)) % 0.61/0.90 (define @t129 () (tptp.multiply tptp.sk_c6 @t96)) % 0.61/0.90 (define @t130 () (tptp.multiply @t129 tptp.sk_c8)) % 0.61/0.90 (define @t131 () (= tptp.sk_c8 @t120)) % 0.61/0.90 (define @t132 () (and @t101 @t102 @t104 @t106 @t108 @t112 @t115 @t117 @t121 @t125 @t128)) % 0.61/0.90 (define @t133 () (not @t128)) % 0.61/0.90 (define @t134 () (not @t125)) % 0.61/0.90 (define @t135 () (not @t121)) % 0.61/0.90 (define @t136 () (not @t117)) % 0.61/0.90 (define @t137 () (not @t115)) % 0.61/0.90 (define @t138 () (not @t112)) % 0.61/0.90 (define @t139 () (not @t108)) % 0.61/0.90 (define @t140 () (not @t106)) % 0.61/0.90 (define @t141 () (not @t104)) % 0.61/0.90 (define @t142 () (not @t102)) % 0.61/0.90 (define @t143 () (not @t101)) % 0.61/0.90 (define @t144 () (tptp.multiply @t110 @t96)) % 0.61/0.90 (define @t145 () (= @t144 @t119)) % 0.61/0.90 (define @t146 () (@list tptp.sk_c8 tptp.sk_c3 @t96)) % 0.61/0.90 (define @t147 () (= @t119 @t144)) % 0.61/0.90 (define @t148 () (@list false)) % 0.61/0.90 (define @t149 () (@list @t9)) % 0.61/0.90 (define @t150 () (tptp.multiply tptp.identity @t96)) % 0.61/0.90 (define @t151 () (= @t96 @t150)) % 0.61/0.90 (define @t152 () (= tptp.sk_c6 (tptp.inverse @t119))) % 0.61/0.90 (define @t153 () (and @t101 @t102 @t104 @t106 @t147 @t151)) % 0.61/0.90 (define @t154 () (not @t151)) % 0.61/0.90 (define @t155 () (not @t147)) % 0.61/0.90 (define @t156 () (not @t152)) % 0.61/0.90 (define @t157 () (not @t131)) % 0.61/0.90 (define @t158 () (or @t157 @t156)) % 0.61/0.90 (define @t159 () (forall @t3 (= @t1 @t2))) % 0.61/0.90 (define @t160 () (forall @t3 (= tptp.identity @t5))) % 0.61/0.90 (define @t161 () (= tptp.sk_c7 @t15)) % 0.61/0.90 (define @t162 () (= tptp.sk_c4 @t18)) % 0.61/0.90 (define @t163 () (= tptp.sk_c7 @t109)) % 0.61/0.90 (define @t164 () (and @t161 @t162)) % 0.61/0.90 (define @t165 () (not @t163)) % 0.61/0.90 (define @t166 () (or @t165 @t143)) % 0.61/0.90 (define @t167 () (not (= tptp.sk_c8 @t68))) % 0.61/0.90 (define @t168 () (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t71)))) % 0.61/0.90 (define @t169 () (or @t168 @t167)) % 0.61/0.90 (define @t170 () (@list @t67)) % 0.61/0.90 (define @t171 () (forall @t170 @t169)) % 0.61/0.90 (define @t172 () (@list tptp.sk_c6)) % 0.61/0.90 (define @t173 () (tptp.multiply @t96 tptp.sk_c8)) % 0.61/0.90 (define @t174 () (tptp.multiply tptp.sk_c6 @t100)) % 0.61/0.90 (define @t175 () (tptp.multiply @t129 tptp.sk_c6)) % 0.61/0.90 (define @t176 () (= @t175 @t174)) % 0.61/0.90 (define @t177 () (tptp.multiply tptp.identity tptp.sk_c6)) % 0.61/0.90 (define @t178 () (= tptp.sk_c6 @t177)) % 0.61/0.90 (define @t179 () (= @t130 (tptp.multiply tptp.sk_c6 @t173))) % 0.61/0.90 (define @t180 () (tptp.multiply @t100 @t96)) % 0.61/0.90 (define @t181 () (tptp.multiply tptp.sk_c6 @t180)) % 0.61/0.90 (define @t182 () (tptp.multiply @t174 @t96)) % 0.61/0.90 (define @t183 () (= @t182 @t181)) % 0.61/0.90 (define @t184 () (tptp.multiply @t100 @t99)) % 0.61/0.90 (define @t185 () (tptp.multiply tptp.sk_c6 @t184)) % 0.61/0.90 (define @t186 () (tptp.multiply @t174 @t99)) % 0.61/0.90 (define @t187 () (= @t186 @t185)) % 0.61/0.90 (define @t188 () (tptp.multiply @t96 @t129)) % 0.61/0.90 (define @t189 () (= @t180 @t188)) % 0.61/0.90 (define @t190 () (tptp.multiply tptp.sk_c6 (tptp.multiply @t100 @t173))) % 0.61/0.90 (define @t191 () (tptp.multiply @t174 @t173)) % 0.61/0.90 (define @t192 () (= @t191 @t190)) % 0.61/0.90 (define @t193 () (tptp.multiply tptp.identity @t129)) % 0.61/0.90 (define @t194 () (= @t129 @t193)) % 0.61/0.90 (define @t195 () (tptp.multiply tptp.sk_c6 @t188)) % 0.61/0.90 (define @t196 () (tptp.multiply @t129 @t129)) % 0.61/0.90 (define @t197 () (= @t196 @t195)) % 0.61/0.90 (define @t198 () (tptp.multiply @t190 tptp.sk_c4)) % 0.61/0.90 (define @t199 () (tptp.multiply tptp.sk_c6 @t99)) % 0.61/0.90 (define @t200 () (tptp.multiply @t199 tptp.sk_c8)) % 0.61/0.90 (define @t201 () (= tptp.sk_c7 @t200)) % 0.61/0.90 (define @t202 () (and @t161 @t162 @t101 @t102 @t104 @t106 @t108 @t176 @t112 @t115 @t117 @t178 @t179 @t183 @t187 @t189 @t192 @t125 @t128 @t147 @t194 @t151 @t197)) % 0.61/0.90 (define @t203 () (not @t197)) % 0.61/0.90 (define @t204 () (not @t194)) % 0.61/0.90 (define @t205 () (not @t192)) % 0.61/0.90 (define @t206 () (not @t189)) % 0.61/0.90 (define @t207 () (not @t187)) % 0.61/0.90 (define @t208 () (not @t183)) % 0.61/0.90 (define @t209 () (not @t179)) % 0.61/0.90 (define @t210 () (not @t178)) % 0.61/0.90 (define @t211 () (not @t176)) % 0.61/0.90 (define @t212 () (not @t162)) % 0.61/0.90 (define @t213 () (not @t161)) % 0.61/0.90 (define @t214 () (= tptp.sk_c6 @t12)) % 0.61/0.90 (define @t215 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 0.61/0.90 (define @t216 () (tptp.multiply @t96 @t215)) % 0.61/0.90 (define @t217 () (tptp.multiply @t100 tptp.sk_c7)) % 0.61/0.90 (define @t218 () (= @t217 @t216)) % 0.61/0.90 (define @t219 () (tptp.multiply tptp.sk_c6 tptp.sk_c6)) % 0.61/0.90 (define @t220 () (tptp.multiply @t96 @t219)) % 0.61/0.90 (define @t221 () (tptp.multiply @t100 tptp.sk_c6)) % 0.61/0.90 (define @t222 () (= @t221 @t220)) % 0.61/0.90 (define @t223 () (tptp.multiply tptp.sk_c8 @t12)) % 0.61/0.90 (define @t224 () (tptp.multiply tptp.sk_c8 tptp.sk_c8)) % 0.61/0.90 (define @t225 () (tptp.multiply @t224 tptp.sk_c7)) % 0.61/0.90 (define @t226 () (= @t225 @t223)) % 0.61/0.90 (define @t227 () (tptp.multiply tptp.sk_c6 @t12)) % 0.61/0.90 (define @t228 () (tptp.multiply @t10 tptp.sk_c7)) % 0.61/0.90 (define @t229 () (= @t228 @t227)) % 0.61/0.90 (define @t230 () (tptp.multiply @t100 @t100)) % 0.61/0.90 (define @t231 () (tptp.multiply tptp.sk_c6 @t230)) % 0.61/0.90 (define @t232 () (tptp.multiply @t174 @t100)) % 0.61/0.90 (define @t233 () (= @t232 @t231)) % 0.61/0.90 (define @t234 () (tptp.multiply @t96 @t174)) % 0.61/0.90 (define @t235 () (= @t230 @t234)) % 0.61/0.90 (define @t236 () (= tptp.sk_c8 @t103)) % 0.61/0.90 (define @t237 () (and @t214 @t161 @t162 @t101 @t102 @t104 @t106 @t108 @t218 @t222 @t176 @t112 @t115 @t117 @t178 @t179 @t226 @t229 @t233 @t192 @t235 @t125 @t128)) % 0.61/0.90 (define @t238 () (= tptp.sk_c7 @t44)) % 0.61/0.90 (define @t239 () (and @t214 @t161 @t162 @t101 @t102 @t104 @t106 @t108 @t176 @t112 @t115 @t117 @t178 @t179 @t226 @t192 @t235 @t125 @t128)) % 0.61/0.90 (define @t240 () (not @t235)) % 0.61/0.90 (define @t241 () (not @t226)) % 0.61/0.90 (define @t242 () (not @t214)) % 0.61/0.90 (define @t243 () (= tptp.sk_c7 @t10)) % 0.61/0.90 (define @t244 () (not @t233)) % 0.61/0.90 (define @t245 () (not @t229)) % 0.61/0.90 (define @t246 () (not @t222)) % 0.61/0.90 (define @t247 () (not @t218)) % 0.61/0.90 (define @t248 () (= tptp.sk_c6 @t173)) % 0.61/0.90 (define @t249 () (tptp.inverse @t199)) % 0.61/0.90 (define @t250 () (= tptp.sk_c8 @t249)) % 0.61/0.90 (define @t251 () (and @t214 @t161 @t162 @t101 @t102 @t104 @t106 @t108 @t218 @t222 @t176 @t112 @t115 @t117 @t178 @t179 @t226 @t229 @t233 @t192 @t235 @t125 @t128 @t147 @t151)) % 0.61/0.90 (define @t252 () (not @t236)) % 0.61/0.90 (define @t253 () (not @t248)) % 0.61/0.90 (define @t254 () (or @t253 @t252)) % 0.61/0.90 (define @t255 () (not @t250)) % 0.61/0.90 (define @t256 () (not @t201)) % 0.61/0.90 (define @t257 () (or @t256 @t255)) % 0.61/0.90 (define @t258 () (not (= tptp.sk_c8 @t77))) % 0.61/0.90 (define @t259 () (not (= tptp.sk_c6 @t79))) % 0.61/0.90 (define @t260 () (or @t259 @t258)) % 0.61/0.90 (define @t261 () (forall (@list @t76) @t260)) % 0.61/0.90 (define @t262 () (not (= tptp.sk_c8 @t83))) % 0.61/0.90 (define @t263 () (not (= tptp.sk_c7 @t85))) % 0.61/0.90 (define @t264 () (or @t263 @t262)) % 0.61/0.90 (define @t265 () (forall (@list @t82) @t264)) % 0.61/0.90 (define @t266 () (not (= @t71 @t71))) % 0.61/0.90 (define @t267 () (or @t168 @t266 @t167)) % 0.61/0.90 (define @t268 () (not (= @t70 @t71))) % 0.61/0.90 (define @t269 () (not (= tptp.sk_c7 @t73))) % 0.61/0.90 (define @t270 () (or @t268 @t269 @t268 @t167)) % 0.61/0.90 (define @t271 () (@list @t70)) % 0.61/0.90 (define @t272 () (or @t269 @t268 @t167)) % 0.61/0.90 (define @t273 () (forall @t271 @t272)) % 0.61/0.90 (define @t274 () (forall @t170 @t273)) % 0.61/0.90 (define @t275 () (forall (@list @t67 @t70) @t272)) % 0.61/0.90 (define @t276 () (forall (@list @t70 @t67) @t272)) % 0.61/0.90 (define @t277 () (not @t243)) % 0.61/0.90 (define @t278 () (not @t238)) % 0.61/0.90 (define @t279 () (or @t242 @t278 @t277 @t265 @t261 @t276 @t95)) % 0.61/0.90 (define @t280 () (or @t242 @t278 @t277 @t264 @t260 @t272 @t94)) % 0.61/0.90 (define @t281 () (or @t242 @t263 @t262 @t278 @t259 @t258 @t277 @t269 @t268 @t167 @t93 @t92)) % 0.61/0.90 (define @t282 () (= tptp.sk_c7 @t30)) % 0.61/0.90 (define @t283 () (= tptp.sk_c8 @t37)) % 0.61/0.90 (define @t284 () (not @t283)) % 0.61/0.90 (define @t285 () (not @t282)) % 0.61/0.90 (define @t286 () (or @t285 @t284)) % 0.61/0.90 (define @t287 () (not @t286)) % 0.61/0.90 (define @t288 () (@list tptp.sk_c1)) % 0.61/0.90 (define @t289 () (@quantifiers_skolemize @t265 0)) % 0.61/0.90 (define @t290 () (tptp.inverse @t289)) % 0.61/0.90 (define @t291 () (= tptp.sk_c8 @t290)) % 0.61/0.90 (define @t292 () (not @t291)) % 0.61/0.90 (define @t293 () (tptp.multiply @t289 tptp.sk_c8)) % 0.61/0.90 (define @t294 () (= tptp.sk_c7 @t293)) % 0.61/0.90 (define @t295 () (not @t294)) % 0.61/0.90 (define @t296 () (or @t295 @t292)) % 0.61/0.90 (define @t297 () (not @t296)) % 0.61/0.90 (define @t298 () (not @t265)) % 0.61/0.90 (define @t299 () (= tptp.sk_c6 @t37)) % 0.61/0.90 (define @t300 () (tptp.multiply tptp.sk_c8 @t293)) % 0.61/0.90 (define @t301 () (tptp.multiply tptp.sk_c8 @t289)) % 0.61/0.90 (define @t302 () (tptp.multiply @t301 tptp.sk_c8)) % 0.61/0.90 (define @t303 () (= @t302 @t300)) % 0.61/0.90 (define @t304 () (not @t303)) % 0.61/0.90 (define @t305 () (tptp.multiply @t290 @t289)) % 0.61/0.90 (define @t306 () (= tptp.identity @t305)) % 0.61/0.90 (define @t307 () (not @t306)) % 0.61/0.90 (define @t308 () (not @t299)) % 0.61/0.90 (define @t309 () (= tptp.sk_c6 @t290)) % 0.61/0.90 (define @t310 () (and @t117 @t291 @t309 @t283 @t308)) % 0.61/0.90 (define @t311 () (tptp.multiply tptp.sk_c8 @t224)) % 0.61/0.90 (define @t312 () (and @t214 @t162 @t101 @t283 @t238 @t213 @t102 @t104 @t106 @t108 @t218 @t222 @t176 @t112 @t115 @t117 @t178 @t179 @t229 @t233 @t183 @t187 @t189 @t192 @t235 @t125 @t128 @t147 @t194 @t151 @t197)) % 0.61/0.90 (define @t313 () (= tptp.sk_c6 @t50)) % 0.61/0.90 (define @t314 () (= tptp.sk_c8 @t56)) % 0.61/0.90 (define @t315 () (not @t314)) % 0.61/0.90 (define @t316 () (not @t313)) % 0.61/0.90 (define @t317 () (or @t316 @t315)) % 0.61/0.90 (define @t318 () (not @t317)) % 0.61/0.90 (define @t319 () (@list tptp.sk_c2)) % 0.61/0.90 (define @t320 () (@quantifiers_skolemize @t261 0)) % 0.61/0.90 (define @t321 () (tptp.inverse @t320)) % 0.61/0.90 (define @t322 () (= tptp.sk_c8 @t321)) % 0.61/0.90 (define @t323 () (not @t322)) % 0.61/0.90 (define @t324 () (tptp.multiply @t320 tptp.sk_c8)) % 0.61/0.90 (define @t325 () (= tptp.sk_c6 @t324)) % 0.61/0.90 (define @t326 () (not @t325)) % 0.61/0.90 (define @t327 () (or @t326 @t323)) % 0.61/0.90 (define @t328 () (not @t327)) % 0.61/0.90 (define @t329 () (not @t261)) % 0.61/0.90 (define @t330 () (and @t214 @t238 @t102 @t104 @t108 @t218 @t222 @t176 @t178 @t229 @t233 @t235)) % 0.61/0.90 (define @t331 () (tptp.multiply @t56 tptp.sk_c2)) % 0.61/0.90 (define @t332 () (= tptp.identity @t331)) % 0.61/0.90 (define @t333 () (tptp.multiply @t56 @t50)) % 0.61/0.90 (define @t334 () (tptp.multiply @t331 tptp.sk_c8)) % 0.61/0.90 (define @t335 () (= @t334 @t333)) % 0.61/0.90 (define @t336 () (= tptp.sk_c7 @t311)) % 0.61/0.90 (define @t337 () (and @t238 @t313 @t314 @t102 @t104 @t332 @t108 @t176 @t117 @t178 @t335 @t235)) % 0.61/0.90 (define @t338 () (tptp.multiply @t96 @t320)) % 0.61/0.90 (define @t339 () (tptp.multiply @t320 @t96)) % 0.61/0.90 (define @t340 () (@list @t320)) % 0.61/0.90 (define @t341 () (tptp.multiply @t320 @t100)) % 0.61/0.90 (define @t342 () (tptp.multiply @t99 @t320)) % 0.61/0.90 (define @t343 () (tptp.multiply tptp.sk_c3 @t338)) % 0.61/0.90 (define @t344 () (= @t342 @t343)) % 0.61/0.90 (define @t345 () (@list tptp.sk_c3 @t96 @t320)) % 0.61/0.90 (define @t346 () (= @t343 @t342)) % 0.61/0.90 (define @t347 () (tptp.multiply (tptp.multiply tptp.sk_c1 @t96) @t320)) % 0.61/0.90 (define @t348 () (tptp.multiply tptp.sk_c1 @t338)) % 0.61/0.90 (define @t349 () (= @t347 @t348)) % 0.61/0.90 (define @t350 () (@list tptp.sk_c1 @t96 @t320)) % 0.61/0.90 (define @t351 () (= @t348 @t347)) % 0.61/0.90 (define @t352 () (tptp.multiply @t339 @t320)) % 0.61/0.90 (define @t353 () (tptp.multiply @t320 @t338)) % 0.61/0.90 (define @t354 () (= @t352 @t353)) % 0.61/0.90 (define @t355 () (@list @t320 @t96 @t320)) % 0.61/0.90 (define @t356 () (= @t353 @t352)) % 0.61/0.90 (define @t357 () (tptp.multiply @t338 tptp.sk_c8)) % 0.61/0.90 (define @t358 () (tptp.multiply tptp.sk_c8 @t96)) % 0.61/0.90 (define @t359 () (tptp.multiply @t358 @t320)) % 0.61/0.90 (define @t360 () (tptp.multiply tptp.sk_c8 @t338)) % 0.61/0.90 (define @t361 () (= @t359 @t360)) % 0.61/0.90 (define @t362 () (= @t360 @t359)) % 0.61/0.90 (define @t363 () (tptp.multiply @t338 @t100)) % 0.61/0.90 (define @t364 () (tptp.multiply @t96 @t341)) % 0.61/0.90 (define @t365 () (= @t363 @t364)) % 0.61/0.90 (define @t366 () (@list @t96 @t320 @t100)) % 0.61/0.90 (define @t367 () (= @t364 @t363)) % 0.61/0.90 (define @t368 () (tptp.multiply @t338 @t96)) % 0.61/0.90 (define @t369 () (tptp.multiply @t96 @t339)) % 0.61/0.90 (define @t370 () (= @t368 @t369)) % 0.61/0.90 (define @t371 () (@list @t96 @t320 @t96)) % 0.61/0.90 (define @t372 () (= @t369 @t368)) % 0.61/0.90 (define @t373 () (tptp.multiply tptp.sk_c8 @t320)) % 0.61/0.90 (define @t374 () (tptp.multiply @t373 @t96)) % 0.61/0.90 (define @t375 () (tptp.multiply tptp.sk_c8 @t339)) % 0.61/0.90 (define @t376 () (= @t374 @t375)) % 0.61/0.90 (define @t377 () (@list tptp.sk_c8 @t320 @t96)) % 0.61/0.90 (define @t378 () (= @t375 @t374)) % 0.61/0.90 (define @t379 () (tptp.multiply @t129 @t320)) % 0.61/0.90 (define @t380 () (tptp.multiply tptp.sk_c6 @t338)) % 0.61/0.90 (define @t381 () (= @t379 @t380)) % 0.61/0.90 (define @t382 () (@list tptp.sk_c6 @t96 @t320)) % 0.61/0.90 (define @t383 () (= @t380 @t379)) % 0.61/0.90 (define @t384 () (tptp.multiply @t357 tptp.sk_c8)) % 0.61/0.90 (define @t385 () (tptp.multiply tptp.sk_c2 @t338)) % 0.61/0.90 (define @t386 () (tptp.multiply @t324 @t289)) % 0.61/0.90 (define @t387 () (tptp.multiply @t379 @t96)) % 0.61/0.90 (define @t388 () (tptp.multiply @t129 @t339)) % 0.61/0.90 (define @t389 () (= @t387 @t388)) % 0.61/0.90 (define @t390 () (@list @t129 @t320 @t96)) % 0.61/0.90 (define @t391 () (= @t388 @t387)) % 0.61/0.90 (define @t392 () (tptp.multiply @t385 tptp.sk_c2)) % 0.61/0.90 (define @t393 () (tptp.multiply @t353 tptp.sk_c2)) % 0.61/0.90 (define @t394 () (tptp.multiply tptp.sk_c3 @t357)) % 0.61/0.90 (define @t395 () (tptp.multiply @t394 tptp.sk_c8)) % 0.61/0.90 (define @t396 () (tptp.inverse tptp.sk_c6)) % 0.61/0.90 (define @t397 () (tptp.multiply tptp.sk_c8 @t324)) % 0.61/0.90 (define @t398 () (tptp.multiply @t373 tptp.sk_c8)) % 0.61/0.90 (define @t399 () (= @t398 @t397)) % 0.61/0.90 (define @t400 () (tptp.multiply @t339 tptp.sk_c6)) % 0.61/0.90 (define @t401 () (= @t400 @t341)) % 0.61/0.90 (define @t402 () (tptp.multiply @t357 tptp.sk_c3)) % 0.61/0.90 (define @t403 () (= @t402 (tptp.multiply @t338 @t110))) % 0.61/0.90 (define @t404 () (tptp.multiply @t338 @t301)) % 0.61/0.90 (define @t405 () (tptp.multiply @t357 @t289)) % 0.61/0.90 (define @t406 () (= @t405 @t404)) % 0.61/0.90 (define @t407 () (tptp.multiply @t338 @t224)) % 0.61/0.90 (define @t408 () (= @t384 @t407)) % 0.61/0.90 (define @t409 () (tptp.multiply tptp.sk_c6 @t357)) % 0.61/0.90 (define @t410 () (tptp.multiply @t380 tptp.sk_c8)) % 0.61/0.90 (define @t411 () (= @t410 @t409)) % 0.61/0.90 (define @t412 () (tptp.multiply @t343 tptp.sk_c8)) % 0.61/0.90 (define @t413 () (= @t412 @t394)) % 0.61/0.90 (define @t414 () (tptp.multiply tptp.sk_c8 @t400)) % 0.61/0.90 (define @t415 () (= (tptp.multiply @t375 tptp.sk_c6) @t414)) % 0.61/0.90 (define @t416 () (tptp.multiply @t96 @t400)) % 0.61/0.90 (define @t417 () (= (tptp.multiply @t369 tptp.sk_c6) @t416)) % 0.61/0.90 (define @t418 () (tptp.multiply @t352 @t100)) % 0.61/0.90 (define @t419 () (= @t418 (tptp.multiply @t339 @t341))) % 0.61/0.90 (define @t420 () (tptp.multiply @t338 @t357)) % 0.61/0.90 (define @t421 () (tptp.multiply @t338 @t338)) % 0.61/0.90 (define @t422 () (= (tptp.multiply @t421 tptp.sk_c8) @t420)) % 0.61/0.90 (define @t423 () (tptp.multiply @t99 @t341)) % 0.61/0.90 (define @t424 () (tptp.multiply @t342 @t100)) % 0.61/0.90 (define @t425 () (= @t424 @t423)) % 0.61/0.90 (define @t426 () (tptp.multiply @t379 @t100)) % 0.61/0.90 (define @t427 () (= @t426 (tptp.multiply @t129 @t341))) % 0.61/0.90 (define @t428 () (= @t320 (tptp.multiply tptp.identity @t320))) % 0.61/0.90 (define @t429 () (tptp.multiply tptp.identity @t341)) % 0.61/0.90 (define @t430 () (= @t341 @t429)) % 0.61/0.90 (define @t431 () (tptp.multiply tptp.sk_c8 @t386)) % 0.61/0.90 (define @t432 () (tptp.multiply @t397 @t289)) % 0.61/0.90 (define @t433 () (= @t432 @t431)) % 0.61/0.90 (define @t434 () (tptp.multiply @t100 @t320)) % 0.61/0.90 (define @t435 () (tptp.multiply @t174 @t320)) % 0.61/0.90 (define @t436 () (= @t435 (tptp.multiply tptp.sk_c6 @t434))) % 0.61/0.90 (define @t437 () (= @t423 (tptp.multiply tptp.sk_c3 @t364))) % 0.61/0.90 (define @t438 () (tptp.multiply @t174 @t357)) % 0.61/0.90 (define @t439 () (= @t438 (tptp.multiply tptp.sk_c6 (tptp.multiply @t100 @t357)))) % 0.61/0.90 (define @t440 () (tptp.multiply @t100 @t338)) % 0.61/0.90 (define @t441 () (tptp.multiply @t174 @t338)) % 0.61/0.90 (define @t442 () (= @t441 (tptp.multiply tptp.sk_c6 @t440))) % 0.61/0.90 (define @t443 () (tptp.multiply @t357 @t110)) % 0.61/0.90 (define @t444 () (= (tptp.multiply @t384 tptp.sk_c3) @t443)) % 0.61/0.90 (define @t445 () (tptp.multiply tptp.sk_c2 @t397)) % 0.61/0.90 (define @t446 () (tptp.multiply @t50 @t324)) % 0.61/0.90 (define @t447 () (= @t446 @t445)) % 0.61/0.90 (define @t448 () (tptp.multiply @t339 @t174)) % 0.61/0.90 (define @t449 () (= (tptp.multiply @t400 @t100) @t448)) % 0.61/0.90 (define @t450 () (tptp.multiply @t99 @t174)) % 0.61/0.90 (define @t451 () (tptp.multiply @t114 @t100)) % 0.61/0.90 (define @t452 () (= @t451 @t450)) % 0.61/0.90 (define @t453 () (tptp.multiply @t173 @t324)) % 0.61/0.90 (define @t454 () (= @t453 (tptp.multiply @t96 @t397))) % 0.61/0.90 (define @t455 () (tptp.multiply tptp.sk_c8 @t341)) % 0.61/0.90 (define @t456 () (tptp.multiply @t373 @t100)) % 0.61/0.90 (define @t457 () (= @t456 @t455)) % 0.61/0.90 (define @t458 () (tptp.multiply tptp.sk_c3 @t384)) % 0.61/0.90 (define @t459 () (= @t395 @t458)) % 0.61/0.90 (define @t460 () (tptp.multiply @t410 @t324)) % 0.61/0.90 (define @t461 () (= @t460 (tptp.multiply @t380 @t397))) % 0.61/0.90 (define @t462 () (tptp.multiply @t339 @t397)) % 0.61/0.90 (define @t463 () (= (tptp.multiply (tptp.multiply @t339 tptp.sk_c8) @t324) @t462)) % 0.61/0.90 (define @t464 () (= @t339 (tptp.multiply tptp.identity @t339))) % 0.61/0.90 (define @t465 () (tptp.multiply @t396 tptp.sk_c6)) % 0.61/0.90 (define @t466 () (= tptp.identity @t465)) % 0.61/0.90 (define @t467 () (tptp.multiply @t184 tptp.sk_c6)) % 0.61/0.90 (define @t468 () (tptp.multiply tptp.sk_c6 @t467)) % 0.61/0.90 (define @t469 () (= (tptp.multiply @t185 tptp.sk_c6) @t468)) % 0.61/0.90 (define @t470 () (tptp.multiply @t320 @t341)) % 0.61/0.90 (define @t471 () (tptp.multiply @t358 @t470)) % 0.61/0.90 (define @t472 () (= (tptp.multiply @t359 @t341) @t471)) % 0.61/0.90 (define @t473 () (tptp.multiply @t373 @t404)) % 0.61/0.90 (define @t474 () (= (tptp.multiply (tptp.multiply @t373 @t338) @t301) @t473)) % 0.61/0.90 (define @t475 () (tptp.multiply @t353 @t96)) % 0.61/0.90 (define @t476 () (= @t475 (tptp.multiply @t320 @t368))) % 0.61/0.90 (define @t477 () (tptp.multiply @t320 @t369)) % 0.61/0.90 (define @t478 () (tptp.multiply @t339 @t339)) % 0.61/0.90 (define @t479 () (= @t478 @t477)) % 0.61/0.90 (define @t480 () (tptp.multiply @t338 @t384)) % 0.61/0.90 (define @t481 () (= @t480 (tptp.multiply @t96 (tptp.multiply @t320 @t384)))) % 0.61/0.90 (define @t482 () (tptp.multiply @t324 tptp.sk_c3)) % 0.61/0.90 (define @t483 () (tptp.multiply @t384 @t482)) % 0.61/0.90 (define @t484 () (tptp.multiply @t384 @t324)) % 0.61/0.90 (define @t485 () (= (tptp.multiply @t484 tptp.sk_c3) @t483)) % 0.61/0.90 (define @t486 () (tptp.multiply @t484 @t289)) % 0.61/0.90 (define @t487 () (= @t486 (tptp.multiply @t384 @t386))) % 0.61/0.90 (define @t488 () (tptp.multiply @t357 @t341)) % 0.61/0.90 (define @t489 () (= @t488 (tptp.multiply @t338 @t455))) % 0.61/0.90 (define @t490 () (tptp.multiply @t129 tptp.sk_c3)) % 0.61/0.90 (define @t491 () (tptp.multiply @t490 tptp.sk_c8)) % 0.61/0.90 (define @t492 () (= @t491 (tptp.multiply @t129 @t18))) % 0.61/0.90 (define @t493 () (tptp.multiply tptp.sk_c2 tptp.sk_c6)) % 0.61/0.90 (define @t494 () (tptp.multiply @t353 @t493)) % 0.61/0.90 (define @t495 () (tptp.multiply @t393 tptp.sk_c6)) % 0.61/0.90 (define @t496 () (= @t495 @t494)) % 0.61/0.90 (define @t497 () (tptp.multiply @t385 @t493)) % 0.61/0.90 (define @t498 () (tptp.multiply @t392 tptp.sk_c6)) % 0.61/0.90 (define @t499 () (= @t498 @t497)) % 0.61/0.90 (define @t500 () (tptp.multiply tptp.sk_c8 @t343)) % 0.61/0.90 (define @t501 () (tptp.multiply @t500 tptp.sk_c8)) % 0.61/0.90 (define @t502 () (= @t501 (tptp.multiply tptp.sk_c8 @t412))) % 0.61/0.90 (define @t503 () (tptp.multiply @t320 @t407)) % 0.61/0.90 (define @t504 () (= (tptp.multiply @t353 @t224) @t503)) % 0.61/0.90 (define @t505 () (tptp.multiply @t357 @t386)) % 0.61/0.90 (define @t506 () (= @t505 (tptp.multiply @t338 @t431))) % 0.61/0.90 (define @t507 () (tptp.multiply tptp.sk_c2 @t407)) % 0.61/0.90 (define @t508 () (= (tptp.multiply @t385 @t224) @t507)) % 0.61/0.90 (define @t509 () (tptp.multiply @t421 @t224)) % 0.61/0.90 (define @t510 () (= @t509 (tptp.multiply @t338 @t407))) % 0.61/0.90 (define @t511 () (tptp.multiply tptp.sk_c8 @t185)) % 0.61/0.90 (define @t512 () (= (tptp.multiply @t44 @t184) @t511)) % 0.61/0.90 (define @t513 () (tptp.multiply tptp.sk_c6 @t402)) % 0.61/0.90 (define @t514 () (= (tptp.multiply @t409 tptp.sk_c3) @t513)) % 0.61/0.90 (define @t515 () (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) % 0.61/0.90 (define @t516 () (tptp.multiply tptp.identity @t18)) % 0.61/0.90 (define @t517 () (= @t18 @t516)) % 0.61/0.90 (define @t518 () (tptp.multiply tptp.sk_c6 @t289)) % 0.61/0.90 (define @t519 () (tptp.multiply @t498 @t289)) % 0.61/0.90 (define @t520 () (= @t519 (tptp.multiply @t392 @t518))) % 0.61/0.90 (define @t521 () (tptp.multiply @t392 @t129)) % 0.61/0.90 (define @t522 () (= (tptp.multiply @t498 @t96) @t521)) % 0.61/0.90 (define @t523 () (tptp.multiply @t393 @t518)) % 0.61/0.90 (define @t524 () (= (tptp.multiply @t495 @t289) @t523)) % 0.61/0.90 (define @t525 () (tptp.multiply @t495 tptp.sk_c3)) % 0.61/0.90 (define @t526 () (= @t525 (tptp.multiply @t393 (tptp.multiply tptp.sk_c6 tptp.sk_c3)))) % 0.61/0.90 (define @t527 () (tptp.multiply @t30 @t343)) % 0.61/0.90 (define @t528 () (= @t527 (tptp.multiply tptp.sk_c1 @t500))) % 0.61/0.90 (define @t529 () (tptp.multiply @t119 @t320)) % 0.61/0.90 (define @t530 () (= @t529 (tptp.multiply tptp.sk_c8 @t342))) % 0.61/0.90 (define @t531 () (tptp.multiply tptp.sk_c8 @t395)) % 0.61/0.90 (define @t532 () (tptp.multiply @t396 tptp.sk_c8)) % 0.61/0.90 (define @t533 () (tptp.multiply @t532 @t395)) % 0.61/0.90 (define @t534 () (= @t533 (tptp.multiply @t396 @t531))) % 0.61/0.90 (define @t535 () (tptp.multiply @t199 tptp.sk_c6)) % 0.61/0.90 (define @t536 () (tptp.multiply tptp.sk_c6 @t400)) % 0.61/0.90 (define @t537 () (tptp.multiply @t341 tptp.sk_c8)) % 0.61/0.90 (define @t538 () (tptp.multiply @t100 @t373)) % 0.61/0.90 (define @t539 () (tptp.inverse @t301)) % 0.61/0.90 (define @t540 () (= tptp.sk_c8 (tptp.inverse tptp.sk_c8))) % 0.61/0.90 (define @t541 () (and @t214 @t101 @t282 @t238 @t313 @t314 @t102 @t104 @t325 @t291 @t106 @t332 @t108 @t306 @t218 @t222 @t176 @t112 @t115 @t399 @t401 @t117 @t178 @t403 @t406 @t408 @t411 @t121 @t413 @t415 @t417 @t419 @t422 @t425 @t427 @t229 @t428 @t430 @t335 @t233 @t183 @t433 @t187 @t436 @t437 @t346 @t351 @t356 @t439 @t442 @t189 @t444 @t447 @t235 @t449 @t452 @t125 @t454 @t362 @t367 @t372 @t457 @t378 @t459 @t128 @t147 @t383 @t461 @t463 @t194 @t151 @t464 @t466 @t469 @t472 @t474 @t476 @t479 @t481 @t485 @t487 @t489 @t492 @t496 @t499 @t502 @t504 @t506 @t508 @t510 @t391 @t512 @t514 @t197 @t515 @t517 @t520 @t522 @t524 @t526 @t528 @t530 @t534)) % 0.61/0.90 (define @t542 () (not @t447)) % 0.61/0.90 (define @t543 () (not @t433)) % 0.61/0.90 (define @t544 () (not @t335)) % 0.61/0.90 (define @t545 () (not @t428)) % 0.61/0.90 (define @t546 () (not @t399)) % 0.61/0.90 (define @t547 () (not @t332)) % 0.61/0.90 (define @t548 () (not @t540)) % 0.61/0.90 (define @t549 () (not @t336)) % 0.61/0.90 (define @t550 () (or @t549 @t548)) % 0.61/0.90 (define @t551 () (and @t214 @t283 @t238 @t313 @t314 @t104 @t294 @t291 @t332 @t108 @t306 @t303 @t117 @t335)) % 0.61/0.90 (define @t552 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) % 0.61/0.90 (define @t553 () (and @t214 @t282 @t238 @t313 @t314 @t104 @t294 @t291 @t332 @t108 @t306 @t303 @t117 @t335)) % 0.61/0.90 (define @t554 () (not @t552)) % 0.61/0.90 (define @t555 () (or @t554 @t308)) % 0.61/0.90 (define @t556 () (not @t555)) % 0.61/0.90 (define @t557 () (tptp.multiply tptp.sk_c8 @t50)) % 0.61/0.90 (define @t558 () (= tptp.sk_c7 @t557)) % 0.61/0.90 (define @t559 () (not @t558)) % 0.61/0.90 (define @t560 () (or @t559 @t315)) % 0.61/0.90 (define @t561 () (and @t238 @t313)) % 0.61/0.90 (define @t562 () (or @t142 @t141)) % 0.61/0.90 (define @t563 () (not @t562)) % 0.61/0.90 (define @t564 () (not @t95)) % 0.61/0.90 (define @t565 () (= tptp.sk_c6 @t27)) % 0.61/0.90 (define @t566 () (not @t565)) % 0.61/0.90 (define @t567 () (= tptp.sk_c8 @t24)) % 0.61/0.90 (define @t568 () (not @t567)) % 0.61/0.90 (define @t569 () (or @t568 @t566)) % 0.61/0.90 (define @t570 () (not @t569)) % 0.61/0.90 (define @t571 () (@list false false)) % 0.61/0.90 (define @t572 () (@list @t565 @t567)) % 0.61/0.90 (define @t573 () (and @t214 @t243 @t161 @t162 @t101 @t104 @t106 @t108 @t112 @t117 @t226)) % 0.61/0.90 (define @t574 () (tptp.multiply @t24 @t100)) % 0.61/0.90 (define @t575 () (= @t574 (tptp.multiply tptp.sk_c5 @t174))) % 0.61/0.90 (define @t576 () (and @t243 @t161 @t162 @t101 @t567 @t102 @t104 @t106 @t108 @t176 @t112 @t117 @t178 @t179 @t192 @t575)) % 0.61/0.90 (define @t577 () (@list true)) % 0.61/0.90 (define @t578 () (= tptp.sk_c6 @t539)) % 0.61/0.90 (define @t579 () (not @t578)) % 0.61/0.90 (define @t580 () (= tptp.sk_c8 (tptp.multiply @t301 tptp.sk_c6))) % 0.61/0.90 (define @t581 () (not @t580)) % 0.61/0.90 (define @t582 () (or @t581 @t579)) % 0.61/0.90 (define @t583 () (@list @t95)) % 0.61/0.90 (define @t584 () (@list @t569)) % 0.61/0.90 (define @t585 () (@list @t296)) % 0.61/0.90 (define @t586 () (@list @t327)) % 0.61/0.90 (define @t587 () (= tptp.identity (tptp.multiply @t321 @t320))) % 0.61/0.90 (define @t588 () (tptp.multiply @t431 tptp.sk_c8)) % 0.61/0.90 (define @t589 () (and @t214 @t313 @t314 @t325 @t322 @t294 @t291 @t332 @t587 @t306 @t303 @t399 @t117 @t178 @t335 @t433)) % 0.61/0.90 (define @t590 () (tptp.multiply @t320 @t320)) % 0.61/0.90 (define @t591 () (tptp.multiply tptp.sk_c8 @t590)) % 0.61/0.90 (define @t592 () (tptp.multiply @t373 @t320)) % 0.61/0.90 (define @t593 () (= @t592 @t591)) % 0.61/0.90 (define @t594 () (tptp.multiply @t324 @t590)) % 0.61/0.90 (define @t595 () (= @t594 (tptp.multiply @t320 @t591))) % 0.61/0.90 (define @t596 () (and @t214 @t313 @t314 @t325 @t322 @t294 @t291 @t332 @t587 @t306 @t303 @t399 @t117 @t428 @t335 @t433 @t593 @t447 @t595)) % 0.61/0.90 (assume @p1 @t4) % 0.61/0.90 (assume @p2 @t6) % 0.61/0.90 (assume @p3 @t9) % 0.61/0.90 (assume @p4 @t14) % 0.61/0.90 (assume @p5 @t17) % 0.61/0.90 (assume @p6 @t20) % 0.61/0.90 (assume @p7 @t23) % 0.61/0.90 (assume @p8 @t26) % 0.61/0.90 (assume @p9 @t29) % 0.61/0.90 (assume @p10 (or @t31 @t11)) % 0.61/0.90 (assume @p11 @t32) % 0.61/0.90 (assume @p12 @t33) % 0.61/0.90 (assume @p13 @t34) % 0.61/0.90 (assume @p14 @t35) % 0.61/0.90 (assume @p15 @t36) % 0.61/0.90 (assume @p16 (or @t38 @t11)) % 0.61/0.90 (assume @p17 @t39) % 0.61/0.90 (assume @p18 @t40) % 0.61/0.90 (assume @p19 @t41) % 0.61/0.90 (assume @p20 @t42) % 0.61/0.90 (assume @p21 @t43) % 0.61/0.90 (assume @p22 @t46) % 0.61/0.90 (assume @p23 @t47) % 0.61/0.90 (assume @p24 @t48) % 0.61/0.90 (assume @p25 @t49) % 0.61/0.90 (assume @p26 (or @t45 @t25)) % 0.61/0.90 (assume @p27 (or @t45 @t28)) % 0.61/0.90 (assume @p28 (or @t51 @t11)) % 0.61/0.90 (assume @p29 (or @t51 @t16)) % 0.61/0.90 (assume @p30 @t52) % 0.61/0.90 (assume @p31 @t53) % 0.61/0.90 (assume @p32 @t54) % 0.61/0.90 (assume @p33 @t55) % 0.61/0.90 (assume @p34 (or @t57 @t11)) % 0.61/0.90 (assume @p35 (or @t57 @t16)) % 0.61/0.90 (assume @p36 @t58) % 0.61/0.90 (assume @p37 @t59) % 0.61/0.90 (assume @p38 @t60) % 0.61/0.90 (assume @p39 @t61) % 0.61/0.90 (assume @p40 @t90) % 0.61/0.90 (step @p41 :rule eq-symm :args (@t5 tptp.identity)) % 0.61/0.90 (step @p42 :rule cong :premises (@p41) :args (@t6)) % 0.61/0.90 (step @p43 :rule eq_resolve :premises (@p2 @p42)) % 0.61/0.90 (step @p44 :rule instantiate :premises (@p43) :args (@t91)) % 0.61/0.90 (step @p45 :rule instantiate :premises (@p43) :args (@t97)) % 0.61/0.90 (step @p46 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 tptp.sk_c3 tptp.sk_c8))) % 0.61/0.90 (step @p47 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c3 @t96 tptp.sk_c6))) % 0.61/0.90 (step @p48 :rule eq-symm :args (@t2 @t1)) % 0.61/0.90 (step @p49 :rule cong :premises (@p48) :args (@t4)) % 0.61/0.90 (step @p50 :rule eq_resolve :premises (@p1 @p49)) % 0.61/0.90 (step @p51 :rule instantiate :premises (@p50) :args (@t98)) % 0.61/0.90 (step @p52 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 @t99 tptp.sk_c6))) % 0.61/0.90 (step @p53 :rule instantiate :premises (@p3) :args ((@list @t100 tptp.sk_c3 tptp.sk_c8))) % 0.61/0.90 (step @p54 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 tptp.sk_c3 @t100))) % 0.61/0.90 (assume-push @p3556 @t101) % 0.61/0.90 (assume-push @p3557 @t102) % 0.61/0.90 (assume-push @p3558 @t104) % 0.61/0.90 (assume-push @p3559 @t106) % 0.61/0.90 (assume-push @p3560 @t108) % 0.61/0.90 (assume-push @p3561 @t112) % 0.61/0.90 (assume-push @p3562 @t115) % 0.61/0.90 (assume-push @p3563 @t117) % 0.61/0.90 (assume-push @p3564 @t121) % 0.61/0.90 (assume-push @p3565 @t125) % 0.61/0.90 (assume-push @p3566 @t128) % 0.61/0.90 (assume-push @p3567 @t121) % 0.61/0.90 (assume-push @p3568 @t115) % 0.61/0.90 (assume-push @p3569 @t128) % 0.61/0.90 (assume-push @p3570 @t102) % 0.61/0.90 (assume-push @p3571 @t112) % 0.61/0.90 (assume-push @p3572 @t125) % 0.61/0.90 (assume-push @p3573 @t101) % 0.61/0.90 (assume-push @p3574 @t106) % 0.61/0.90 (assume-push @p3575 @t108) % 0.61/0.90 (assume-push @p3576 @t104) % 0.61/0.90 (assume-push @p3577 @t117) % 0.61/0.90 (step @p77 :rule symm :premises (@p52)) % 0.61/0.90 (step @p78 :rule symm :premises (@p47)) % 0.61/0.90 (step @p79 :rule refl :args (tptp.sk_c8)) % 0.61/0.90 (step @p80 :rule cong :premises (@p79 @p78) :args (@t126)) % 0.61/0.90 (step @p81 :rule refl :args (@t110)) % 0.61/0.90 (step @p82 :rule cong :premises (@p81 @p3557) :args (@t111)) % 0.61/0.90 (step @p83 :rule symm :premises (@p46)) % 0.61/0.90 (step @p84 :rule refl :args (@t18)) % 0.61/0.90 (step @p85 :rule symm :premises (@p3557)) % 0.61/0.90 (step @p86 :rule cong :premises (@p85 @p84) :args (@t122)) % 0.61/0.90 (step @p87 :rule refl :args (tptp.sk_c3)) % 0.61/0.90 (step @p88 :rule cong :premises (@p3557 @p87) :args (@t110)) % 0.61/0.90 (step @p89 :rule symm :premises (@p3556)) % 0.61/0.90 (step @p90 :rule cong :premises (@p89 @p87) :args (@t105)) % 0.61/0.90 (step @p91 :rule trans :premises (@p44 @p90 @p88)) % 0.61/0.90 (step @p92 :rule symm :premises (@p45)) % 0.61/0.90 (step @p93 :rule refl :args (@t96)) % 0.61/0.90 (step @p94 :rule cong :premises (@p3558 @p93) :args (@t129)) % 0.61/0.90 (step @p95 :rule trans :premises (@p94 @p92)) % 0.61/0.90 (step @p96 :rule trans :premises (@p95 @p91)) % 0.61/0.90 (step @p97 :rule cong :premises (@p96 @p79) :args (@t130)) % 0.61/0.90 (step @p98 :rule symm :premises (@p95)) % 0.61/0.90 (step @p99 :rule cong :premises (@p98 @p79) :args (@t116)) % 0.61/0.90 (step @p100 :rule trans :premises (@p51 @p99 @p97 @p53 @p86 @p83 @p82 @p54 @p80 @p77)) % 0.61/0.90 (step-pop @p3578 :rule scope :premises (@p100)) % 0.61/0.90 (step-pop @p3579 :rule scope :premises (@p3578)) % 0.61/0.90 (step-pop @p3580 :rule scope :premises (@p3579)) % 0.61/0.90 (step-pop @p3581 :rule scope :premises (@p3580)) % 0.61/0.90 (step-pop @p3582 :rule scope :premises (@p3581)) % 0.61/0.90 (step-pop @p3583 :rule scope :premises (@p3582)) % 0.61/0.90 (step-pop @p3584 :rule scope :premises (@p3583)) % 0.61/0.90 (step-pop @p3585 :rule scope :premises (@p3584)) % 0.61/0.90 (step-pop @p3586 :rule scope :premises (@p3585)) % 0.61/0.90 (step-pop @p3587 :rule scope :premises (@p3586)) % 0.61/0.90 (step-pop @p3588 :rule scope :premises (@p3587)) % 0.61/0.90 (step @p101 :rule process_scope :premises (@p3588) :args (@t131)) % 0.61/0.90 (step @p113 :rule and_intro :premises (@p52 @p47 @p54 @p3557 @p46 @p53 @p3556 @p44 @p45 @p3558 @p51)) % 0.61/0.90 (step @p114 :rule modus_ponens :premises (@p113 @p101)) % 0.61/0.90 (step-pop @p3589 :rule scope :premises (@p114)) % 0.61/0.90 (step-pop @p3590 :rule scope :premises (@p3589)) % 0.61/0.90 (step-pop @p3591 :rule scope :premises (@p3590)) % 0.61/0.90 (step-pop @p3592 :rule scope :premises (@p3591)) % 0.61/0.90 (step-pop @p3593 :rule scope :premises (@p3592)) % 0.61/0.90 (step-pop @p3594 :rule scope :premises (@p3593)) % 0.61/0.90 (step-pop @p3595 :rule scope :premises (@p3594)) % 0.61/0.90 (step-pop @p3596 :rule scope :premises (@p3595)) % 0.61/0.90 (step-pop @p3597 :rule scope :premises (@p3596)) % 0.61/0.90 (step-pop @p3598 :rule scope :premises (@p3597)) % 0.61/0.90 (step-pop @p3599 :rule scope :premises (@p3598)) % 0.61/0.90 (step @p115 :rule process_scope :premises (@p3599) :args (@t131)) % 0.61/0.90 (step @p127 :rule implies_elim :premises (@p115)) % 0.61/0.90 (step @p128 :rule cnf_and_neg :args (@t132)) % 0.61/0.90 (step @p129 :rule resolution :premises (@p128 @p127) :args (true @t132)) % 0.61/0.90 (step @p130 :rule reordering :premises (@p129) :args ((or @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t131 @t134 @t133))) % 0.61/0.90 (step @p131 :rule eq-symm :args (@t144 @t119)) % 0.61/0.90 (step @p132 :rule refl :args (@t9)) 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(@p3527)) % 0.34/0.91 (step-pop @p5270 :rule scope :premises (@p5269)) % 0.34/0.91 (step-pop @p5271 :rule scope :premises (@p5270)) % 0.34/0.91 (step-pop @p5272 :rule scope :premises (@p5271)) % 0.34/0.91 (step-pop @p5273 :rule scope :premises (@p5272)) % 0.34/0.91 (step-pop @p5274 :rule scope :premises (@p5273)) % 0.34/0.91 (step-pop @p5275 :rule scope :premises (@p5274)) % 0.34/0.91 (step-pop @p5276 :rule scope :premises (@p5275)) % 0.34/0.91 (step-pop @p5277 :rule scope :premises (@p5276)) % 0.34/0.91 (step-pop @p5278 :rule scope :premises (@p5277)) % 0.34/0.91 (step-pop @p5279 :rule scope :premises (@p5278)) % 0.34/0.91 (step-pop @p5280 :rule scope :premises (@p5279)) % 0.34/0.91 (step-pop @p5281 :rule scope :premises (@p5280)) % 0.34/0.91 (step-pop @p5282 :rule scope :premises (@p5281)) % 0.34/0.91 (step-pop @p5283 :rule scope :premises (@p5282)) % 0.34/0.91 (step-pop @p5284 :rule scope :premises (@p5283)) % 0.34/0.91 (step-pop @p5285 :rule scope :premises (@p5284)) % 0.34/0.91 (step-pop @p5286 :rule scope :premises (@p5285)) % 0.34/0.91 (step-pop @p5287 :rule scope :premises (@p5286)) % 0.34/0.91 (step @p3528 :rule process_scope :premises (@p5287) :args (@t578)) % 0.34/0.91 (step @p3548 :rule implies_elim :premises (@p3528)) % 0.34/0.91 (step @p3549 :rule cnf_and_neg :args (@t596)) % 0.34/0.91 (step @p3550 :rule resolution :premises (@p3549 @p3548) :args (true @t596)) % 0.34/0.91 (step @p3551 :rule reordering :premises (@p3550) :args ((or @t242 @t316 @t315 @t326 @t323 @t295 @t292 @t547 (not @t587) @t307 @t304 @t546 @t136 @t545 @t544 @t543 (not @t593) @t542 @t578 (not @t595)))) % 0.34/0.91 (step @p3552 :rule chain_m_resolution :premises (@p3551 @p3317 @p3306 @p3305 @p3316 @p3315 @p3304 @p3303 @p1715 @p3296 @p1261 @p1262 @p1787 @p51 @p1800 @p1716 @p1802 @p3421 @p1835 @p3420) :args (@t578 (@list false false false false false false false false false false false false false false false false false false false) (@list @t214 @t313 @t314 @t325 @t322 @t294 @t291 @t332 @t587 @t306 @t303 @t399 @t117 @t428 @t335 @t433 @t593 @t447 @t595))) % 0.34/0.91 (step @p3553 :rule cnf_or_pos :args (@t582)) % 0.34/0.91 (step @p3554 :rule reordering :premises (@p3553) :args ((or @t581 @t579 (not @t582)))) % 0.34/0.91 (step @p3555 false :rule chain_m_resolution :premises (@p3554 @p3552 @p3419 @p3295) :args (false (@list false false false) (@list @t578 @t580 @t582))) % 0.34/0.91 ) % 0.34/0.91 % SZS output end Proof % 0.34/0.91 % cvc5 exiting %------------------------------------------------------------------------------