%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP217-1 : 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 : n014.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 08:20:14 AM UTC 2026 % Result : Unsatisfiable 0.61s 0.84s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP217-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 00:59:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.84 % SZS status Unsatisfiable % 0.61/0.84 % SZS output start Proof % 0.61/0.87 ( % 0.61/0.87 (declare-sort $$unsorted 0) % 0.61/0.87 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.87 (declare-const tptp.sk_c3 $$unsorted) % 0.61/0.87 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.61/0.87 (declare-const tptp.sk_c4 $$unsorted) % 0.61/0.87 (declare-const tptp.identity $$unsorted) % 0.61/0.87 (declare-const tptp.sk_c10 $$unsorted) % 0.61/0.87 (declare-const tptp.sk_c11 $$unsorted) % 0.61/0.87 (declare-const tptp.sk_c9 $$unsorted) % 0.61/0.87 (declare-const tptp.sk_c6 $$unsorted) % 0.61/0.87 (declare-const tptp.sk_c1 $$unsorted) % 0.61/0.87 (declare-const tptp.sk_c8 $$unsorted) % 0.61/0.87 (declare-const tptp.sk_c2 $$unsorted) % 0.61/0.87 (declare-const tptp.sk_c7 $$unsorted) % 0.61/0.87 (declare-const tptp.sk_c5 $$unsorted) % 0.61/0.87 (define @t1 () (@var "X" $$unsorted)) % 0.61/0.87 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.61/0.87 (define @t3 () (@list @t1)) % 0.61/0.87 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.61/0.87 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.61/0.87 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.61/0.87 (define @t7 () (@var "Z" $$unsorted)) % 0.61/0.87 (define @t8 () (@var "Y" $$unsorted)) % 0.61/0.87 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.61/0.87 (define @t10 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 0.61/0.87 (define @t11 () (= @t10 tptp.sk_c11)) % 0.61/0.87 (define @t12 () (tptp.inverse tptp.sk_c1)) % 0.61/0.87 (define @t13 () (= @t12 tptp.sk_c11)) % 0.61/0.87 (define @t14 () (or @t13 @t11)) % 0.61/0.87 (define @t15 () (tptp.inverse tptp.sk_c6)) % 0.61/0.87 (define @t16 () (= @t15 tptp.sk_c7)) % 0.61/0.87 (define @t17 () (or @t13 @t16)) % 0.61/0.87 (define @t18 () (tptp.multiply tptp.sk_c7 tptp.sk_c10)) % 0.61/0.87 (define @t19 () (= @t18 tptp.sk_c11)) % 0.61/0.87 (define @t20 () (or @t13 @t19)) % 0.61/0.87 (define @t21 () (tptp.multiply tptp.sk_c11 tptp.sk_c9)) % 0.61/0.87 (define @t22 () (= @t21 tptp.sk_c10)) % 0.61/0.87 (define @t23 () (or @t13 @t22)) % 0.61/0.87 (define @t24 () (tptp.multiply tptp.sk_c8 tptp.sk_c11)) % 0.61/0.87 (define @t25 () (= @t24 tptp.sk_c9)) % 0.61/0.87 (define @t26 () (or @t13 @t25)) % 0.61/0.87 (define @t27 () (tptp.inverse tptp.sk_c8)) % 0.61/0.87 (define @t28 () (= @t27 tptp.sk_c11)) % 0.61/0.87 (define @t29 () (or @t13 @t28)) % 0.61/0.87 (define @t30 () (= (tptp.multiply tptp.sk_c1 tptp.sk_c10) tptp.sk_c11)) % 0.61/0.87 (define @t31 () (tptp.multiply tptp.sk_c2 tptp.sk_c3)) % 0.61/0.87 (define @t32 () (= @t31 tptp.sk_c10)) % 0.61/0.87 (define @t33 () (or @t32 @t11)) % 0.61/0.87 (define @t34 () (or @t32 @t16)) % 0.61/0.87 (define @t35 () (or @t32 @t19)) % 0.61/0.87 (define @t36 () (or @t32 @t22)) % 0.61/0.87 (define @t37 () (or @t32 @t25)) % 0.61/0.87 (define @t38 () (or @t32 @t28)) % 0.61/0.87 (define @t39 () (tptp.inverse tptp.sk_c2)) % 0.61/0.87 (define @t40 () (= @t39 tptp.sk_c3)) % 0.61/0.87 (define @t41 () (or @t40 @t11)) % 0.61/0.87 (define @t42 () (or @t40 @t16)) % 0.61/0.87 (define @t43 () (or @t40 @t19)) % 0.61/0.87 (define @t44 () (or @t40 @t22)) % 0.61/0.87 (define @t45 () (or @t40 @t25)) % 0.61/0.87 (define @t46 () (or @t40 @t28)) % 0.61/0.87 (define @t47 () (tptp.multiply tptp.sk_c3 tptp.sk_c11)) % 0.61/0.87 (define @t48 () (= @t47 tptp.sk_c10)) % 0.61/0.87 (define @t49 () (or @t48 @t11)) % 0.61/0.87 (define @t50 () (or @t48 @t16)) % 0.61/0.87 (define @t51 () (or @t48 @t19)) % 0.61/0.87 (define @t52 () (or @t48 @t22)) % 0.61/0.87 (define @t53 () (or @t48 @t25)) % 0.61/0.87 (define @t54 () (or @t48 @t28)) % 0.61/0.87 (define @t55 () (tptp.multiply tptp.sk_c11 tptp.sk_c5)) % 0.61/0.87 (define @t56 () (= @t55 tptp.sk_c10)) % 0.61/0.87 (define @t57 () (or @t56 @t22)) % 0.61/0.87 (define @t58 () (or @t56 @t25)) % 0.61/0.87 (define @t59 () (or @t56 @t28)) % 0.61/0.87 (define @t60 () (tptp.multiply tptp.sk_c4 tptp.sk_c11)) % 0.61/0.87 (define @t61 () (= @t60 tptp.sk_c5)) % 0.61/0.87 (define @t62 () (or @t61 @t22)) % 0.61/0.87 (define @t63 () (or @t61 @t25)) % 0.61/0.87 (define @t64 () (or @t61 @t28)) % 0.61/0.87 (define @t65 () (tptp.inverse tptp.sk_c4)) % 0.61/0.87 (define @t66 () (= @t65 tptp.sk_c11)) % 0.61/0.87 (define @t67 () (or @t66 @t22)) % 0.61/0.87 (define @t68 () (or @t66 @t25)) % 0.61/0.87 (define @t69 () (or @t66 @t28)) % 0.61/0.87 (define @t70 () (@var "X4" $$unsorted)) % 0.61/0.87 (define @t71 () (tptp.inverse @t70)) % 0.61/0.87 (define @t72 () (not (= @t71 tptp.sk_c11))) % 0.61/0.87 (define @t73 () (@var "X3" $$unsorted)) % 0.61/0.87 (define @t74 () (tptp.multiply @t70 tptp.sk_c11)) % 0.61/0.87 (define @t75 () (not (= @t74 @t73))) % 0.61/0.87 (define @t76 () (tptp.multiply tptp.sk_c11 @t73)) % 0.61/0.87 (define @t77 () (not (= @t76 tptp.sk_c10))) % 0.61/0.87 (define @t78 () (@var "X1" $$unsorted)) % 0.61/0.87 (define @t79 () (tptp.multiply @t78 tptp.sk_c10)) % 0.61/0.87 (define @t80 () (not (= @t79 tptp.sk_c11))) % 0.61/0.87 (define @t81 () (@var "X2" $$unsorted)) % 0.61/0.87 (define @t82 () (tptp.inverse @t81)) % 0.61/0.87 (define @t83 () (not (= @t82 @t78))) % 0.61/0.87 (define @t84 () (tptp.multiply @t81 @t78)) % 0.61/0.87 (define @t85 () (not (= @t84 tptp.sk_c11))) % 0.61/0.87 (define @t86 () (@var "X9" $$unsorted)) % 0.61/0.87 (define @t87 () (tptp.inverse @t86)) % 0.61/0.87 (define @t88 () (not (= @t87 tptp.sk_c11))) % 0.61/0.87 (define @t89 () (@var "X8" $$unsorted)) % 0.61/0.87 (define @t90 () (tptp.multiply @t86 tptp.sk_c11)) % 0.61/0.87 (define @t91 () (not (= @t90 @t89))) % 0.61/0.87 (define @t92 () (tptp.multiply tptp.sk_c11 @t89)) % 0.61/0.87 (define @t93 () (not (= @t92 tptp.sk_c10))) % 0.61/0.87 (define @t94 () (@var "X7" $$unsorted)) % 0.61/0.87 (define @t95 () (tptp.multiply @t94 tptp.sk_c11)) % 0.61/0.87 (define @t96 () (not (= @t95 tptp.sk_c10))) % 0.61/0.87 (define @t97 () (@var "X6" $$unsorted)) % 0.61/0.87 (define @t98 () (tptp.inverse @t97)) % 0.61/0.87 (define @t99 () (not (= @t98 @t94))) % 0.61/0.87 (define @t100 () (tptp.multiply @t97 @t94)) % 0.61/0.87 (define @t101 () (not (= @t100 tptp.sk_c10))) % 0.61/0.87 (define @t102 () (@var "X5" $$unsorted)) % 0.61/0.87 (define @t103 () (tptp.multiply @t102 tptp.sk_c10)) % 0.61/0.87 (define @t104 () (not (= @t103 tptp.sk_c11))) % 0.61/0.87 (define @t105 () (tptp.inverse @t102)) % 0.61/0.87 (define @t106 () (not (= @t105 tptp.sk_c11))) % 0.61/0.87 (define @t107 () (or @t106 @t104 @t101 @t99 @t96 @t93 @t91 @t88 @t85 @t83 @t80 @t77 @t75 @t72)) % 0.61/0.87 (define @t108 () (@list @t102 @t97 @t94 @t89 @t86 @t81 @t78 @t73 @t70)) % 0.61/0.87 (define @t109 () (forall @t108 @t107)) % 0.61/0.87 (define @t110 () (= tptp.sk_c10 @t31)) % 0.61/0.87 (define @t111 () (= tptp.sk_c11 @t10)) % 0.61/0.87 (define @t112 () (= tptp.sk_c3 @t39)) % 0.61/0.87 (define @t113 () (tptp.multiply tptp.sk_c2 @t39)) % 0.61/0.87 (define @t114 () (= tptp.sk_c10 @t113)) % 0.61/0.87 (define @t115 () (and @t110 @t112)) % 0.61/0.87 (define @t116 () (not (= tptp.sk_c11 @t87))) % 0.61/0.87 (define @t117 () (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 @t90)))) % 0.61/0.87 (define @t118 () (or @t117 @t116)) % 0.61/0.87 (define @t119 () (@list @t86)) % 0.61/0.87 (define @t120 () (forall @t119 @t118)) % 0.61/0.87 (define @t121 () (@quantifiers_skolemize @t120 0)) % 0.61/0.87 (define @t122 () (not (= tptp.sk_c10 (tptp.multiply @t98 tptp.sk_c11)))) % 0.61/0.87 (define @t123 () (not (= tptp.sk_c10 (tptp.multiply @t97 @t98)))) % 0.61/0.87 (define @t124 () (or @t123 @t122)) % 0.61/0.87 (define @t125 () (@list @t97)) % 0.61/0.87 (define @t126 () (forall @t125 @t124)) % 0.61/0.87 (define @t127 () (@quantifiers_skolemize @t126 0)) % 0.61/0.87 (define @t128 () (@list @t127)) % 0.61/0.87 (define @t129 () (tptp.multiply tptp.sk_c11 @t121)) % 0.61/0.87 (define @t130 () (tptp.multiply @t129 tptp.sk_c11)) % 0.61/0.87 (define @t131 () (tptp.multiply tptp.sk_c11 (tptp.multiply @t121 tptp.sk_c11))) % 0.61/0.87 (define @t132 () (= @t130 @t131)) % 0.61/0.87 (define @t133 () (@list tptp.sk_c11 @t121 tptp.sk_c11)) % 0.61/0.87 (define @t134 () (= @t131 @t130)) % 0.61/0.87 (define @t135 () (@list false)) % 0.61/0.87 (define @t136 () (@list @t9)) % 0.61/0.87 (define @t137 () (@list tptp.sk_c8)) % 0.61/0.87 (define @t138 () (= tptp.sk_c11 @t27)) % 0.61/0.87 (define @t139 () (not @t138)) % 0.61/0.87 (define @t140 () (tptp.multiply tptp.sk_c11 @t24)) % 0.61/0.87 (define @t141 () (= tptp.sk_c10 @t140)) % 0.61/0.87 (define @t142 () (not @t141)) % 0.61/0.87 (define @t143 () (or @t142 @t139)) % 0.61/0.87 (define @t144 () (= tptp.sk_c11 @t65)) % 0.61/0.87 (define @t145 () (not @t144)) % 0.61/0.87 (define @t146 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 @t60))) % 0.61/0.87 (define @t147 () (not @t146)) % 0.61/0.87 (define @t148 () (or @t147 @t145)) % 0.61/0.87 (define @t149 () (= tptp.sk_c10 @t55)) % 0.61/0.87 (define @t150 () (= tptp.sk_c10 @t21)) % 0.61/0.87 (define @t151 () (= tptp.sk_c9 @t24)) % 0.61/0.87 (define @t152 () (and @t150 @t151)) % 0.61/0.87 (define @t153 () (@list false false)) % 0.61/0.87 (define @t154 () (@list @t151 @t150)) % 0.61/0.87 (define @t155 () (not @t143)) % 0.61/0.87 (define @t156 () (not @t150)) % 0.61/0.87 (define @t157 () (@list false false false)) % 0.61/0.87 (define @t158 () (= tptp.sk_c5 @t60)) % 0.61/0.87 (define @t159 () (and @t149 @t158)) % 0.61/0.87 (define @t160 () (not @t120)) % 0.61/0.87 (define @t161 () (tptp.inverse @t121)) % 0.61/0.87 (define @t162 () (= tptp.sk_c11 @t161)) % 0.61/0.87 (define @t163 () (not @t162)) % 0.61/0.87 (define @t164 () (= tptp.sk_c10 @t131)) % 0.61/0.87 (define @t165 () (not @t164)) % 0.61/0.87 (define @t166 () (or @t165 @t163)) % 0.61/0.87 (define @t167 () (not @t166)) % 0.61/0.87 (define @t168 () (@list true)) % 0.61/0.87 (define @t169 () (@list @t166)) % 0.61/0.87 (define @t170 () (= tptp.sk_c10 @t47)) % 0.61/0.87 (define @t171 () (tptp.multiply @t161 @t121)) % 0.61/0.87 (define @t172 () (= tptp.identity @t171)) % 0.61/0.87 (define @t173 () (tptp.inverse @t127)) % 0.61/0.87 (define @t174 () (tptp.multiply @t173 @t127)) % 0.61/0.87 (define @t175 () (= tptp.identity @t174)) % 0.61/0.87 (define @t176 () (tptp.multiply tptp.identity tptp.sk_c11)) % 0.61/0.87 (define @t177 () (= tptp.sk_c11 @t176)) % 0.61/0.87 (define @t178 () (tptp.multiply @t39 tptp.sk_c10)) % 0.61/0.87 (define @t179 () (= tptp.sk_c10 (tptp.multiply @t39 tptp.sk_c11))) % 0.61/0.87 (define @t180 () (and @t112 @t170 @t164 @t162 @t172 @t175 @t134 @t177)) % 0.61/0.87 (define @t181 () (tptp.multiply @t127 @t173)) % 0.61/0.87 (define @t182 () (= tptp.sk_c10 @t181)) % 0.61/0.87 (define @t183 () (= tptp.sk_c11 @t181)) % 0.61/0.87 (define @t184 () (and @t164 @t162 @t182 @t172 @t175 @t134 @t177)) % 0.61/0.87 (define @t185 () (not @t182)) % 0.61/0.87 (define @t186 () (tptp.multiply @t174 @t173)) % 0.61/0.87 (define @t187 () (tptp.multiply @t173 @t181)) % 0.61/0.87 (define @t188 () (= @t186 @t187)) % 0.61/0.87 (define @t189 () (@list @t173 @t127 @t173)) % 0.61/0.87 (define @t190 () (= @t187 @t186)) % 0.61/0.87 (define @t191 () (= tptp.sk_c7 @t15)) % 0.61/0.87 (define @t192 () (tptp.multiply tptp.sk_c6 @t15)) % 0.61/0.87 (define @t193 () (= tptp.sk_c11 @t192)) % 0.61/0.87 (define @t194 () (and @t111 @t191)) % 0.61/0.87 (define @t195 () (= tptp.sk_c11 @t18)) % 0.61/0.87 (define @t196 () (tptp.multiply @t15 tptp.sk_c10)) % 0.61/0.87 (define @t197 () (= tptp.sk_c11 @t196)) % 0.61/0.87 (define @t198 () (and @t191 @t195)) % 0.61/0.87 (define @t199 () (tptp.multiply @t27 tptp.sk_c8)) % 0.61/0.87 (define @t200 () (= tptp.identity @t199)) % 0.61/0.87 (define @t201 () (tptp.multiply tptp.sk_c11 tptp.sk_c8)) % 0.61/0.87 (define @t202 () (tptp.multiply @t201 tptp.sk_c11)) % 0.61/0.87 (define @t203 () (= @t202 @t140)) % 0.61/0.87 (define @t204 () (= tptp.sk_c10 @t192)) % 0.61/0.87 (define @t205 () (and @t111 @t191 @t150 @t151 @t138 @t200 @t175 @t203 @t177)) % 0.61/0.87 (define @t206 () (= tptp.sk_c10 (tptp.multiply @t15 tptp.sk_c11))) % 0.61/0.87 (define @t207 () (and @t191 @t195 @t150 @t151 @t138 @t200 @t175 @t203 @t177)) % 0.61/0.87 (define @t208 () (not @t197)) % 0.61/0.87 (define @t209 () (not @t193)) % 0.61/0.87 (define @t210 () (or @t209 @t208)) % 0.61/0.87 (define @t211 () (not @t210)) % 0.61/0.87 (define @t212 () (not @t206)) % 0.61/0.87 (define @t213 () (not @t204)) % 0.61/0.87 (define @t214 () (or @t213 @t212)) % 0.61/0.87 (define @t215 () (not (= tptp.sk_c11 (tptp.multiply @t82 tptp.sk_c10)))) % 0.61/0.87 (define @t216 () (not (= tptp.sk_c11 (tptp.multiply @t81 @t82)))) % 0.61/0.87 (define @t217 () (or @t216 @t215)) % 0.61/0.87 (define @t218 () (@list @t81)) % 0.61/0.87 (define @t219 () (forall @t218 @t217)) % 0.61/0.87 (define @t220 () (@list tptp.sk_c6)) % 0.61/0.87 (define @t221 () (not (= tptp.sk_c11 @t71))) % 0.61/0.87 (define @t222 () (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 @t74)))) % 0.61/0.87 (define @t223 () (or @t222 @t221)) % 0.61/0.87 (define @t224 () (not (= @t74 @t74))) % 0.61/0.87 (define @t225 () (or @t222 @t224 @t221)) % 0.61/0.87 (define @t226 () (@list @t70)) % 0.61/0.87 (define @t227 () (not (= @t73 @t74))) % 0.61/0.87 (define @t228 () (not (= tptp.sk_c10 @t76))) % 0.61/0.87 (define @t229 () (or @t227 @t228 @t227 @t221)) % 0.61/0.87 (define @t230 () (@list @t73)) % 0.61/0.87 (define @t231 () (or @t228 @t227 @t221)) % 0.61/0.87 (define @t232 () (forall @t230 @t231)) % 0.61/0.87 (define @t233 () (forall @t226 @t232)) % 0.61/0.87 (define @t234 () (forall (@list @t70 @t73) @t231)) % 0.61/0.87 (define @t235 () (forall (@list @t73 @t70) @t231)) % 0.61/0.87 (define @t236 () (not (= @t82 @t82))) % 0.61/0.87 (define @t237 () (or @t216 @t236 @t215)) % 0.61/0.87 (define @t238 () (not (= tptp.sk_c11 @t79))) % 0.61/0.87 (define @t239 () (not (= @t78 @t82))) % 0.61/0.87 (define @t240 () (not (= tptp.sk_c11 @t84))) % 0.61/0.87 (define @t241 () (or @t239 @t240 @t239 @t238)) % 0.61/0.87 (define @t242 () (@list @t78)) % 0.61/0.87 (define @t243 () (or @t240 @t239 @t238)) % 0.61/0.87 (define @t244 () (forall @t242 @t243)) % 0.61/0.87 (define @t245 () (forall @t218 @t244)) % 0.61/0.87 (define @t246 () (forall (@list @t81 @t78) @t243)) % 0.61/0.87 (define @t247 () (not (= @t90 @t90))) % 0.61/0.87 (define @t248 () (or @t117 @t247 @t116)) % 0.61/0.87 (define @t249 () (not (= @t89 @t90))) % 0.61/0.87 (define @t250 () (not (= tptp.sk_c10 @t92))) % 0.61/0.87 (define @t251 () (or @t249 @t250 @t249 @t116)) % 0.61/0.87 (define @t252 () (@list @t89)) % 0.61/0.87 (define @t253 () (or @t250 @t249 @t116)) % 0.61/0.87 (define @t254 () (forall @t252 @t253)) % 0.61/0.87 (define @t255 () (forall @t119 @t254)) % 0.61/0.87 (define @t256 () (forall (@list @t86 @t89) @t253)) % 0.61/0.87 (define @t257 () (forall (@list @t89 @t86) @t253)) % 0.61/0.87 (define @t258 () (not (= @t98 @t98))) % 0.61/0.87 (define @t259 () (or @t123 @t258 @t122)) % 0.61/0.87 (define @t260 () (not (= tptp.sk_c10 @t95))) % 0.61/0.87 (define @t261 () (not (= @t94 @t98))) % 0.61/0.87 (define @t262 () (not (= tptp.sk_c10 @t100))) % 0.61/0.87 (define @t263 () (or @t261 @t262 @t261 @t260)) % 0.61/0.87 (define @t264 () (@list @t94)) % 0.61/0.87 (define @t265 () (or @t262 @t261 @t260)) % 0.61/0.87 (define @t266 () (forall @t264 @t265)) % 0.61/0.87 (define @t267 () (forall @t125 @t266)) % 0.61/0.87 (define @t268 () (forall (@list @t97 @t94) @t265)) % 0.61/0.87 (define @t269 () (not (= tptp.sk_c11 @t103))) % 0.61/0.87 (define @t270 () (not (= tptp.sk_c11 @t105))) % 0.61/0.87 (define @t271 () (or @t270 @t269)) % 0.61/0.87 (define @t272 () (forall (@list @t102) @t271)) % 0.61/0.87 (define @t273 () (or @t272 @t268 @t257 @t246 @t235)) % 0.61/0.87 (define @t274 () (or @t271 @t265 @t253 @t243 @t231)) % 0.61/0.87 (define @t275 () (or @t270 @t269 @t262 @t261 @t260 @t250 @t249 @t116 @t240 @t239 @t238 @t228 @t227 @t221)) % 0.61/0.87 (define @t276 () (tptp.multiply @t173 tptp.sk_c11)) % 0.61/0.87 (define @t277 () (= tptp.sk_c10 @t276)) % 0.61/0.87 (define @t278 () (not @t277)) % 0.61/0.87 (define @t279 () (or @t185 @t278)) % 0.61/0.87 (define @t280 () (not @t279)) % 0.61/0.87 (define @t281 () (not @t126)) % 0.61/0.87 (define @t282 () (= tptp.sk_c11 (tptp.multiply @t127 tptp.sk_c10))) % 0.61/0.87 (define @t283 () (not @t282)) % 0.61/0.87 (define @t284 () (= tptp.sk_c11 @t173)) % 0.61/0.87 (define @t285 () (not @t284)) % 0.61/0.87 (define @t286 () (or @t285 @t283)) % 0.61/0.87 (define @t287 () (tptp.multiply tptp.identity @t173)) % 0.61/0.87 (define @t288 () (= @t173 @t287)) % 0.61/0.87 (define @t289 () (and @t150 @t151 @t138 @t182 @t277 @t200 @t175 @t203 @t177 @t288 @t190)) % 0.61/0.87 (define @t290 () (not @t190)) % 0.61/0.87 (define @t291 () (not @t288)) % 0.61/0.87 (define @t292 () (not @t177)) % 0.61/0.87 (define @t293 () (not @t203)) % 0.61/0.87 (define @t294 () (not @t175)) % 0.61/0.87 (define @t295 () (not @t200)) % 0.61/0.87 (define @t296 () (not @t151)) % 0.61/0.87 (define @t297 () (tptp.multiply @t127 tptp.sk_c11)) % 0.61/0.87 (define @t298 () (= tptp.sk_c11 @t12)) % 0.61/0.87 (define @t299 () (forall @t226 @t223)) % 0.61/0.87 (define @t300 () (tptp.multiply @t173 @t297)) % 0.61/0.87 (define @t301 () (= (tptp.multiply @t174 tptp.sk_c11) @t300)) % 0.61/0.87 (define @t302 () (= tptp.sk_c11 (tptp.multiply @t173 tptp.sk_c10))) % 0.61/0.87 (define @t303 () (and @t298 @t182 @t175 @t284 @t177 @t301 @t288 @t190)) % 0.61/0.87 (define @t304 () (not @t302)) % 0.61/0.87 (define @t305 () (not @t183)) % 0.61/0.87 (define @t306 () (or @t305 @t304)) % 0.61/0.87 (define @t307 () (@quantifiers_skolemize @t219 0)) % 0.61/0.87 (define @t308 () (tptp.inverse @t307)) % 0.61/0.87 (define @t309 () (tptp.multiply @t308 tptp.sk_c10)) % 0.61/0.87 (define @t310 () (= tptp.sk_c11 @t309)) % 0.61/0.87 (define @t311 () (not @t310)) % 0.61/0.87 (define @t312 () (tptp.multiply @t307 @t308)) % 0.61/0.87 (define @t313 () (= tptp.sk_c11 @t312)) % 0.61/0.87 (define @t314 () (not @t313)) % 0.61/0.87 (define @t315 () (or @t314 @t311)) % 0.61/0.87 (define @t316 () (not @t315)) % 0.61/0.87 (define @t317 () (not @t219)) % 0.61/0.87 (define @t318 () (= tptp.sk_c10 @t312)) % 0.61/0.87 (define @t319 () (and @t313 @t182 @t183)) % 0.61/0.87 (define @t320 () (and @t164 @t162 @t182 @t172 @t175 @t134 @t284 @t177)) % 0.61/0.87 (define @t321 () (not @t134)) % 0.61/0.87 (define @t322 () (not @t172)) % 0.61/0.87 (define @t323 () (= tptp.sk_c10 (tptp.multiply @t308 tptp.sk_c11))) % 0.61/0.87 (define @t324 () (and @t164 @t162 @t310 @t172 @t175 @t134 @t177)) % 0.61/0.87 (define @t325 () (not @t323)) % 0.61/0.87 (define @t326 () (not @t318)) % 0.61/0.87 (define @t327 () (or @t326 @t325)) % 0.61/0.87 (define @t328 () (forall @t3 (= @t1 @t2))) % 0.61/0.87 (define @t329 () (forall @t3 (= tptp.identity @t5))) % 0.61/0.87 (define @t330 () (and @t164 @t162 @t182 @t277 @t172 @t175 @t134 @t177 @t288 @t190)) % 0.61/0.87 (define @t331 () (@list tptp.sk_c2)) % 0.61/0.87 (define @t332 () (= tptp.sk_c11 @t178)) % 0.61/0.87 (define @t333 () (not @t332)) % 0.61/0.87 (define @t334 () (= tptp.sk_c11 @t113)) % 0.61/0.87 (define @t335 () (not @t334)) % 0.61/0.87 (define @t336 () (or @t335 @t333)) % 0.61/0.87 (define @t337 () (and @t110 @t112 @t182 @t183)) % 0.61/0.87 (define @t338 () (not @t112)) % 0.61/0.87 (define @t339 () (not @t110)) % 0.61/0.87 (define @t340 () (not @t179)) % 0.61/0.87 (define @t341 () (not @t114)) % 0.61/0.87 (define @t342 () (or @t341 @t340)) % 0.61/0.87 (define @t343 () (@list @t126)) % 0.61/0.87 (define @t344 () (not @t170)) % 0.61/0.87 (define @t345 () (not @t111)) % 0.61/0.87 (define @t346 () (not @t191)) % 0.61/0.87 (define @t347 () (and @t191 @t164 @t162 @t172 @t175 @t134 @t177 @t213)) % 0.61/0.87 (define @t348 () (@list @t138)) % 0.61/0.87 (assume @p1 @t4) % 0.61/0.87 (assume @p2 @t6) % 0.61/0.87 (assume @p3 @t9) % 0.61/0.87 (assume @p4 @t14) % 0.61/0.87 (assume @p5 @t17) % 0.61/0.87 (assume @p6 @t20) % 0.61/0.87 (assume @p7 @t23) % 0.61/0.87 (assume @p8 @t26) % 0.61/0.87 (assume @p9 @t29) % 0.61/0.87 (assume @p10 (or @t30 @t11)) % 0.61/0.87 (assume @p11 (or @t30 @t16)) % 0.61/0.87 (assume @p12 (or @t30 @t19)) % 0.61/0.87 (assume @p13 (or @t30 @t22)) % 0.61/0.87 (assume @p14 (or @t30 @t25)) % 0.61/0.87 (assume @p15 (or @t30 @t28)) % 0.61/0.87 (assume @p16 @t33) % 0.61/0.87 (assume @p17 @t34) % 0.61/0.87 (assume @p18 @t35) % 0.61/0.87 (assume @p19 @t36) % 0.61/0.87 (assume @p20 @t37) % 0.61/0.87 (assume @p21 @t38) % 0.61/0.87 (assume @p22 @t41) % 0.61/0.87 (assume @p23 @t42) % 0.61/0.87 (assume @p24 @t43) % 0.61/0.87 (assume @p25 @t44) % 0.61/0.87 (assume @p26 @t45) % 0.61/0.87 (assume @p27 @t46) % 0.61/0.87 (assume @p28 @t49) % 0.61/0.87 (assume @p29 @t50) % 0.61/0.87 (assume @p30 @t51) % 0.61/0.87 (assume @p31 @t52) % 0.61/0.87 (assume @p32 @t53) % 0.61/0.87 (assume @p33 @t54) % 0.61/0.87 (assume @p34 (or @t56 @t11)) % 0.61/0.87 (assume @p35 (or @t56 @t16)) % 0.61/0.87 (assume @p36 (or @t56 @t19)) % 0.61/0.87 (assume @p37 @t57) % 0.61/0.87 (assume @p38 @t58) % 0.61/0.87 (assume @p39 @t59) % 0.61/0.87 (assume @p40 (or @t61 @t11)) % 0.61/0.87 (assume @p41 (or @t61 @t16)) % 0.61/0.87 (assume @p42 (or @t61 @t19)) % 0.61/0.87 (assume @p43 @t62) % 0.61/0.87 (assume @p44 @t63) % 0.61/0.87 (assume @p45 @t64) % 0.61/0.87 (assume @p46 (or @t66 @t11)) % 0.61/0.87 (assume @p47 (or @t66 @t16)) % 0.61/0.87 (assume @p48 (or @t66 @t19)) % 0.61/0.87 (assume @p49 @t67) % 0.61/0.87 (assume @p50 @t68) % 0.61/0.87 (assume @p51 @t69) % 0.61/0.87 (assume @p52 @t109) % 0.61/0.87 (step @p53 :rule eq-symm :args (@t10 tptp.sk_c11)) % 0.61/0.87 (step @p54 :rule eq-symm :args (@t31 tptp.sk_c10)) % 0.61/0.87 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t33)) % 0.61/0.87 (step @p56 :rule eq_resolve :premises (@p16 @p55)) % 0.61/0.87 (step @p57 :rule reordering :premises (@p56) :args ((or @t111 @t110))) % 0.61/0.87 (step @p58 :rule eq-symm :args (@t39 tptp.sk_c3)) % 0.61/0.87 (step @p59 :rule nary_cong :premises (@p58 @p53) :args (@t41)) % 0.61/0.87 (step @p60 :rule eq_resolve :premises (@p22 @p59)) % 0.61/0.87 (step @p61 :rule reordering :premises (@p60) :args ((or @t111 @t112))) % 0.61/0.87 (assume-push @p1270 @t110) % 0.61/0.87 (assume-push @p1271 @t112) % 0.61/0.87 (assume-push @p1272 @t112) % 0.61/0.87 (assume-push @p1273 @t110) % 0.61/0.87 (step @p66 :rule refl :args (tptp.sk_c2)) % 0.61/0.87 (step @p67 :rule cong :premises (@p66 @p1271) :args (@t31)) % 0.61/0.87 (step @p68 :rule trans :premises (@p1270 @p67)) % 0.61/0.87 (step-pop @p1274 :rule scope :premises (@p68)) % 0.61/0.87 (step-pop @p1275 :rule scope :premises (@p1274)) % 0.61/0.87 (step @p69 :rule process_scope :premises (@p1275) :args (@t114)) % 0.61/0.87 (step @p72 :rule and_intro :premises (@p1271 @p1270)) % 0.61/0.87 (step @p73 :rule modus_ponens :premises (@p72 @p69)) % 0.61/0.87 (step-pop @p1276 :rule scope :premises (@p73)) % 0.61/0.87 (step-pop @p1277 :rule scope :premises (@p1276)) % 0.61/0.87 (step @p74 :rule process_scope :premises (@p1277) :args (@t114)) % 0.61/0.87 (step @p77 :rule implies_elim :premises (@p74)) % 0.61/0.87 (step @p78 :rule cnf_and_neg :args (@t115)) % 0.61/0.87 (step @p79 :rule resolution :premises (@p78 @p77) :args (true @t115)) % 0.61/0.87 (step @p80 :rule eq-symm :args (@t5 tptp.identity)) % 0.61/0.87 (step @p81 :rule cong :premises (@p80) :args (@t6)) % 0.61/0.87 (step @p82 :rule eq_resolve :premises (@p2 @p81)) % 0.61/0.87 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t121))) % 0.61/0.87 (step @p84 :rule instantiate :premises (@p82) :args (@t128)) % 0.61/0.87 (step @p85 :rule eq-symm :args (@t130 @t131)) % 0.61/0.87 (step @p86 :rule refl :args (@t9)) % 0.61/0.87 (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t9 @t132))) % 0.61/0.87 (assume-push @p1278 @t9) % 0.61/0.87 (step @p89 :rule instantiate :premises (@p3) :args (@t133)) % 0.61/0.87 (step-pop @p1279 :rule scope :premises (@p89)) % 0.61/0.87 (step @p90 :rule process_scope :premises (@p1279) :args (@t132)) % 0.61/0.87 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 0.61/0.87 (step @p93 :rule implies_elim :premises (@p92)) % 0.61/0.87 (step @p94 :rule chain_m_resolution :premises (@p93 @p3) :args (@t134 @t135 @t136)) % 0.61/0.87 (step @p95 :rule eq-symm :args (@t2 @t1)) % 0.61/0.87 (step @p96 :rule cong :premises (@p95) :args (@t4)) % 0.61/0.87 (step @p97 :rule eq_resolve :premises (@p1 @p96)) % 0.61/0.87 (step @p98 :rule instantiate :premises (@p97) :args ((@list tptp.sk_c11))) % 0.61/0.87 (assume-push @p1280 @t120) % 0.61/0.87 (step @p100 :rule instantiate :premises (@p1280) :args (@t137)) % 0.61/0.87 (step-pop @p1281 :rule scope :premises (@p100)) % 0.61/0.87 (step @p101 :rule process_scope :premises (@p1281) :args (@t143)) % 0.61/0.87 (step @p103 :rule implies_elim :premises (@p101)) % 0.61/0.87 (assume-push @p1282 @t120) % 0.61/0.87 (step @p105 :rule instantiate :premises (@p1282) :args ((@list tptp.sk_c4))) % 0.61/0.87 (step-pop @p1283 :rule scope :premises (@p105)) % 0.61/0.87 (step @p106 :rule process_scope :premises (@p1283) :args (@t148)) % 0.61/0.87 (step @p108 :rule implies_elim :premises (@p106)) % 0.61/0.87 (step @p109 :rule eq-symm :args (@t27 tptp.sk_c11)) % 0.61/0.87 (step @p110 :rule eq-symm :args (@t55 tptp.sk_c10)) % 0.61/0.87 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t59)) % 0.61/0.87 (step @p112 :rule eq_resolve :premises (@p39 @p111)) % 0.61/0.87 (step @p113 :rule reordering :premises (@p112) :args ((or @t138 @t149))) % 0.61/0.87 (step @p114 :rule eq-symm :args (@t21 tptp.sk_c10)) % 0.61/0.87 (step @p115 :rule nary_cong :premises (@p110 @p114) :args (@t57)) % 0.61/0.87 (step @p116 :rule eq_resolve :premises (@p37 @p115)) % 0.61/0.87 (step @p117 :rule reordering :premises (@p116) :args ((or @t150 @t149))) % 0.61/0.87 (step @p118 :rule eq-symm :args (@t24 tptp.sk_c9)) % 0.61/0.87 (step @p119 :rule nary_cong :premises (@p110 @p118) :args (@t58)) % 0.61/0.87 (step @p120 :rule eq_resolve :premises (@p38 @p119)) % 0.61/0.87 (step @p121 :rule reordering :premises (@p120) :args ((or @t151 @t149))) % 0.61/0.87 (assume-push @p1284 @t150) % 0.61/0.87 (assume-push @p1285 @t151) % 0.61/0.87 (assume-push @p1286 @t151) % 0.61/0.87 (assume-push @p1287 @t150) % 0.61/0.87 (step @p126 :rule refl :args (tptp.sk_c11)) % 0.61/0.87 (step @p127 :rule cong :premises (@p126 @p1285) :args (@t21)) % 0.61/0.87 (step @p128 :rule trans :premises (@p1284 @p127)) % 0.61/0.87 (step-pop @p1288 :rule scope :premises (@p128)) % 0.61/0.87 (step-pop @p1289 :rule scope :premises (@p1288)) % 0.61/0.87 (step @p129 :rule process_scope :premises (@p1289) :args (@t141)) % 0.61/0.87 (step @p132 :rule and_intro :premises (@p1285 @p1284)) % 0.61/0.87 (step @p133 :rule modus_ponens :premises (@p132 @p129)) % 0.61/0.87 (step-pop @p1290 :rule scope :premises (@p133)) % 0.61/0.87 (step-pop @p1291 :rule scope :premises (@p1290)) % 0.61/0.87 (step @p134 :rule process_scope :premises (@p1291) :args (@t141)) % 0.61/0.87 (step @p137 :rule implies_elim :premises (@p134)) % 0.61/0.87 (step @p138 :rule cnf_and_neg :args (@t152)) % 0.61/0.87 (step @p139 :rule resolution :premises (@p138 @p137) :args (true @t152)) % 0.61/0.87 (step @p140 :rule chain_m_resolution :premises (@p139 @p121 @p117) :args ((or @t149 @t141) @t153 @t154)) % 0.61/0.87 (step @p141 :rule cnf_or_pos :args (@t143)) % 0.61/0.87 (step @p142 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false false false false false false) (@list @t342 @t114 @t179 @t162 @t164 @t177 @t134 @t175 @t172))) % 0.61/0.88 (step @p1243 :rule nary_cong :premises (@p58 @p114) :args (@t44)) % 0.61/0.88 (step @p1244 :rule eq_resolve :premises (@p25 @p1243)) % 0.61/0.88 (step @p1245 :rule reordering :premises (@p1244) :args ((or @t150 @t112))) % 0.61/0.88 (step @p1246 :rule nary_cong :premises (@p58 @p118) :args (@t45)) % 0.61/0.88 (step @p1247 :rule eq_resolve :premises (@p26 @p1246)) % 0.61/0.88 (step @p1248 :rule reordering :premises (@p1247) :args ((or @t151 @t112))) % 0.61/0.88 (step @p1249 :rule chain_m_resolution :premises (@p479 @p1240 @p475 @p98 @p369 @p84 @p368 @p1239 @p209 @p203 @p98 @p94 @p84 @p83 @p1248 @p1245 @p1059 @p1157 @p1242 @p1241 @p1170) :args ((or @t139 @t344) (@list false false false false false false false false false false false false false false false false false true false false) (@list @t214 @t206 @t177 @t203 @t175 @t200 @t204 @t162 @t164 @t177 @t134 @t175 @t172 @t151 @t150 @t195 @t191 @t112 @t110 @t111))) % 0.61/0.88 (step @p1250 :rule nary_cong :premises (@p1060 @p114) :args (@t52)) % 0.61/0.88 (step @p1251 :rule eq_resolve :premises (@p31 @p1250)) % 0.61/0.88 (step @p1252 :rule reordering :premises (@p1251) :args ((or @t150 @t170))) % 0.61/0.88 (step @p1253 :rule nary_cong :premises (@p1060 @p118) :args (@t53)) % 0.61/0.88 (step @p1254 :rule eq_resolve :premises (@p32 @p1253)) % 0.61/0.88 (step @p1255 :rule reordering :premises (@p1254) :args ((or @t151 @t170))) % 0.61/0.88 (step @p1256 :rule chain_m_resolution :premises (@p479 @p1240 @p475 @p98 @p369 @p84 @p368 @p1239 @p209 @p203 @p98 @p94 @p84 @p83 @p1255 @p1252 @p1063 @p1150 @p1147 @p1249) :args (@t139 (@list false false false false false false false false false false false false false false false false false false true) (@list @t214 @t206 @t177 @t203 @t175 @t200 @t204 @t162 @t164 @t177 @t134 @t175 @t172 @t151 @t150 @t195 @t191 @t111 @t170))) % 0.61/0.88 (step @p1257 :rule nary_cong :premises (@p54 @p109) :args (@t38)) % 0.61/0.88 (step @p1258 :rule eq_resolve :premises (@p21 @p1257)) % 0.61/0.88 (step @p1259 :rule reordering :premises (@p1258) :args ((or @t138 @t110))) % 0.61/0.88 (step @p1260 :rule chain_m_resolution :premises (@p1259 @p1256) :args (@t110 @t168 @t348)) % 0.61/0.88 (step @p1261 :rule nary_cong :premises (@p58 @p109) :args (@t46)) % 0.61/0.88 (step @p1262 :rule eq_resolve :premises (@p27 @p1261)) % 0.61/0.88 (step @p1263 :rule reordering :premises (@p1262) :args ((or @t138 @t112))) % 0.61/0.88 (step @p1264 :rule chain_m_resolution :premises (@p1263 @p1256) :args (@t112 @t168 @t348)) % 0.61/0.88 (step @p1265 :rule nary_cong :premises (@p1060 @p109) :args (@t54)) % 0.61/0.88 (step @p1266 :rule eq_resolve :premises (@p33 @p1265)) % 0.61/0.88 (step @p1267 :rule reordering :premises (@p1266) :args ((or @t138 @t170))) % 0.61/0.88 (step @p1268 :rule chain_m_resolution :premises (@p1267 @p1256) :args (@t170 @t168 @t348)) % 0.61/0.88 (step @p1269 false :rule chain_m_resolution :premises (@p1242 @p1268 @p1264 @p1260) :args (false @t157 (@list @t170 @t112 @t110))) % 0.61/0.88 ) % 0.61/0.88 % SZS output end Proof % 0.61/0.88 % cvc5 exiting %------------------------------------------------------------------------------