%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP255-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:20:19 AM UTC 2026 % Result : Unsatisfiable 16.06s 16.73s % Output : Proof 16.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP255-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:00:21 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.24 --- Run --no-e-matching --full-saturate-quant at 6... % 16.06/16.73 % SZS status Unsatisfiable % 16.06/16.73 % SZS output start Proof % 16.06/16.76 ( % 16.06/16.76 (declare-sort $$unsorted 0) % 16.06/16.76 (declare-const tptp.sk_c3 $$unsorted) % 16.06/16.76 (declare-const tptp.sk_c2 $$unsorted) % 16.06/16.76 (declare-const tptp.sk_c4 $$unsorted) % 16.06/16.76 (declare-const tptp.sk_c1 $$unsorted) % 16.06/16.76 (declare-const tptp.sk_c7 $$unsorted) % 16.06/16.76 (declare-const tptp.sk_c8 $$unsorted) % 16.06/16.76 (declare-const tptp.sk_c5 $$unsorted) % 16.06/16.76 (declare-const tptp.sk_c6 $$unsorted) % 16.06/16.76 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.06/16.76 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.06/16.76 (declare-const tptp.identity $$unsorted) % 16.06/16.76 (define @t1 () (@var "X" $$unsorted)) % 16.06/16.76 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.06/16.76 (define @t3 () (@list @t1)) % 16.06/16.76 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.06/16.76 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.06/16.76 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.06/16.76 (define @t7 () (@var "Z" $$unsorted)) % 16.06/16.76 (define @t8 () (@var "Y" $$unsorted)) % 16.06/16.76 (define @t9 () (tptp.multiply tptp.sk_c7 tptp.sk_c8)) % 16.06/16.76 (define @t10 () (= @t9 tptp.sk_c6)) % 16.06/16.76 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 16.06/16.76 (define @t12 () (= @t11 tptp.sk_c7)) % 16.06/16.76 (define @t13 () (or @t12 @t10)) % 16.06/16.76 (define @t14 () (tptp.inverse tptp.sk_c4)) % 16.06/16.76 (define @t15 () (= @t14 tptp.sk_c8)) % 16.06/16.76 (define @t16 () (or @t12 @t15)) % 16.06/16.76 (define @t17 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 16.06/16.76 (define @t18 () (= @t17 tptp.sk_c8)) % 16.06/16.76 (define @t19 () (or @t12 @t18)) % 16.06/16.76 (define @t20 () (tptp.inverse tptp.sk_c5)) % 16.06/16.76 (define @t21 () (= @t20 tptp.sk_c7)) % 16.06/16.76 (define @t22 () (or @t12 @t21)) % 16.06/16.76 (define @t23 () (tptp.multiply tptp.sk_c5 tptp.sk_c6)) % 16.06/16.76 (define @t24 () (= @t23 tptp.sk_c7)) % 16.06/16.76 (define @t25 () (or @t12 @t24)) % 16.06/16.76 (define @t26 () (tptp.inverse tptp.sk_c1)) % 16.06/16.76 (define @t27 () (= @t26 tptp.sk_c8)) % 16.06/16.76 (define @t28 () (or @t27 @t10)) % 16.06/16.76 (define @t29 () (or @t27 @t15)) % 16.06/16.76 (define @t30 () (or @t27 @t18)) % 16.06/16.76 (define @t31 () (or @t27 @t21)) % 16.06/16.76 (define @t32 () (or @t27 @t24)) % 16.06/16.76 (define @t33 () (tptp.multiply tptp.sk_c2 tptp.sk_c7)) % 16.06/16.76 (define @t34 () (= @t33 tptp.sk_c6)) % 16.06/16.76 (define @t35 () (or @t34 @t10)) % 16.06/16.76 (define @t36 () (or @t34 @t15)) % 16.06/16.76 (define @t37 () (or @t34 @t21)) % 16.06/16.76 (define @t38 () (or @t34 @t24)) % 16.06/16.76 (define @t39 () (tptp.inverse tptp.sk_c2)) % 16.06/16.76 (define @t40 () (= @t39 tptp.sk_c7)) % 16.06/16.76 (define @t41 () (or @t40 @t10)) % 16.06/16.76 (define @t42 () (or @t40 @t15)) % 16.06/16.76 (define @t43 () (or @t40 @t21)) % 16.06/16.76 (define @t44 () (or @t40 @t24)) % 16.06/16.76 (define @t45 () (tptp.inverse tptp.sk_c3)) % 16.06/16.76 (define @t46 () (= @t45 tptp.sk_c6)) % 16.06/16.76 (define @t47 () (or @t46 @t10)) % 16.06/16.76 (define @t48 () (tptp.multiply tptp.sk_c3 tptp.sk_c8)) % 16.06/16.76 (define @t49 () (= @t48 tptp.sk_c6)) % 16.06/16.76 (define @t50 () (or @t49 @t10)) % 16.06/16.76 (define @t51 () (@var "X2" $$unsorted)) % 16.06/16.76 (define @t52 () (tptp.multiply @t51 tptp.sk_c6)) % 16.06/16.76 (define @t53 () (not (= @t52 tptp.sk_c7))) % 16.06/16.76 (define @t54 () (tptp.inverse @t51)) % 16.06/16.76 (define @t55 () (not (= @t54 tptp.sk_c7))) % 16.06/16.76 (define @t56 () (@var "X1" $$unsorted)) % 16.06/16.76 (define @t57 () (tptp.multiply @t56 tptp.sk_c7)) % 16.06/16.76 (define @t58 () (not (= @t57 tptp.sk_c8))) % 16.06/16.76 (define @t59 () (tptp.inverse @t56)) % 16.06/16.76 (define @t60 () (not (= @t59 tptp.sk_c8))) % 16.06/16.76 (define @t61 () (not @t10)) % 16.06/16.76 (define @t62 () (@var "X5" $$unsorted)) % 16.06/16.76 (define @t63 () (tptp.multiply @t62 tptp.sk_c8)) % 16.06/16.76 (define @t64 () (not (= @t63 tptp.sk_c6))) % 16.06/16.76 (define @t65 () (tptp.inverse @t62)) % 16.06/16.76 (define @t66 () (not (= @t65 tptp.sk_c6))) % 16.06/16.76 (define @t67 () (@var "X4" $$unsorted)) % 16.06/16.76 (define @t68 () (tptp.inverse @t67)) % 16.06/16.76 (define @t69 () (not (= @t68 tptp.sk_c7))) % 16.06/16.76 (define @t70 () (tptp.multiply @t67 tptp.sk_c7)) % 16.06/16.76 (define @t71 () (not (= @t70 tptp.sk_c6))) % 16.06/16.76 (define @t72 () (@var "X3" $$unsorted)) % 16.06/16.76 (define @t73 () (tptp.inverse @t72)) % 16.06/16.76 (define @t74 () (not (= @t73 tptp.sk_c8))) % 16.06/16.76 (define @t75 () (tptp.multiply @t72 tptp.sk_c8)) % 16.06/16.76 (define @t76 () (not (= @t75 tptp.sk_c7))) % 16.06/16.76 (define @t77 () (or @t76 @t74 @t71 @t69 @t66 @t64 @t61 @t60 @t58 @t55 @t53)) % 16.06/16.76 (define @t78 () (@list @t72 @t67 @t62 @t56 @t51)) % 16.06/16.76 (define @t79 () (forall @t78 @t77)) % 16.06/16.76 (define @t80 () (tptp.multiply tptp.sk_c7 tptp.sk_c5)) % 16.06/16.76 (define @t81 () (tptp.inverse tptp.sk_c8)) % 16.06/16.76 (define @t82 () (@list tptp.sk_c5)) % 16.06/16.76 (define @t83 () (@list tptp.sk_c4)) % 16.06/16.76 (define @t84 () (@list tptp.sk_c7)) % 16.06/16.76 (define @t85 () (@list tptp.sk_c8)) % 16.06/16.76 (define @t86 () (= tptp.sk_c8 @t26)) % 16.06/16.76 (define @t87 () (not @t86)) % 16.06/16.76 (define @t88 () (= tptp.sk_c7 @t11)) % 16.06/16.76 (define @t89 () (not @t88)) % 16.06/16.76 (define @t90 () (or @t89 @t87)) % 16.06/16.76 (define @t91 () (not (= tptp.sk_c8 @t73))) % 16.06/16.76 (define @t92 () (not (= tptp.sk_c7 @t75))) % 16.06/16.76 (define @t93 () (or @t92 @t91)) % 16.06/16.76 (define @t94 () (forall (@list @t72) @t93)) % 16.06/16.76 (define @t95 () (@list tptp.sk_c1)) % 16.06/16.76 (define @t96 () (= tptp.sk_c7 @t39)) % 16.06/16.76 (define @t97 () (= tptp.sk_c6 @t9)) % 16.06/16.76 (define @t98 () (= tptp.sk_c8 @t14)) % 16.06/16.76 (define @t99 () (= tptp.sk_c7 @t20)) % 16.06/16.76 (define @t100 () (= tptp.sk_c7 @t23)) % 16.06/16.76 (define @t101 () (tptp.multiply tptp.identity tptp.identity)) % 16.06/16.76 (define @t102 () (= tptp.identity @t101)) % 16.06/16.76 (define @t103 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.06/16.76 (define @t104 () (= tptp.sk_c1 @t103)) % 16.06/16.76 (define @t105 () (tptp.multiply @t26 tptp.sk_c1)) % 16.06/16.76 (define @t106 () (= tptp.identity @t105)) % 16.06/16.76 (define @t107 () (tptp.multiply tptp.identity tptp.sk_c8)) % 16.06/16.76 (define @t108 () (= tptp.sk_c8 @t107)) % 16.06/16.76 (define @t109 () (tptp.multiply @t81 tptp.sk_c8)) % 16.06/16.76 (define @t110 () (= tptp.identity @t109)) % 16.06/16.76 (define @t111 () (tptp.multiply tptp.sk_c8 tptp.sk_c1)) % 16.06/16.76 (define @t112 () (tptp.multiply @t81 @t111)) % 16.06/16.76 (define @t113 () (tptp.multiply @t109 tptp.sk_c1)) % 16.06/16.76 (define @t114 () (= @t113 @t112)) % 16.06/16.76 (define @t115 () (tptp.multiply @t81 @t107)) % 16.06/16.76 (define @t116 () (tptp.multiply @t81 tptp.identity)) % 16.06/16.76 (define @t117 () (tptp.multiply @t116 tptp.sk_c8)) % 16.06/16.76 (define @t118 () (= @t117 @t115)) % 16.06/16.76 (define @t119 () (tptp.multiply @t101 tptp.sk_c8)) % 16.06/16.76 (define @t120 () (tptp.multiply tptp.identity @t107)) % 16.06/16.76 (define @t121 () (tptp.multiply tptp.identity @t103)) % 16.06/16.76 (define @t122 () (tptp.multiply @t101 tptp.sk_c1)) % 16.06/16.76 (define @t123 () (= tptp.sk_c6 @t26)) % 16.06/16.76 (define @t124 () (and @t88 @t97 @t86 @t102 @t104 @t106 @t108 @t110 @t114 @t118)) % 16.06/16.76 (define @t125 () (not @t118)) % 16.06/16.76 (define @t126 () (not @t114)) % 16.06/16.76 (define @t127 () (not @t110)) % 16.06/16.76 (define @t128 () (not @t108)) % 16.06/16.76 (define @t129 () (not @t106)) % 16.06/16.76 (define @t130 () (not @t104)) % 16.06/16.76 (define @t131 () (not @t102)) % 16.06/16.76 (define @t132 () (not @t97)) % 16.06/16.76 (define @t133 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) % 16.06/16.76 (define @t134 () (tptp.multiply tptp.identity tptp.sk_c5)) % 16.06/16.76 (define @t135 () (= tptp.sk_c5 @t134)) % 16.06/16.76 (define @t136 () (tptp.multiply @t20 tptp.sk_c5)) % 16.06/16.76 (define @t137 () (= tptp.identity @t136)) % 16.06/16.76 (define @t138 () (tptp.multiply tptp.identity @t134)) % 16.06/16.76 (define @t139 () (tptp.multiply @t101 tptp.sk_c5)) % 16.06/16.76 (define @t140 () (= tptp.sk_c7 @t26)) % 16.06/16.76 (define @t141 () (and @t88 @t97 @t99 @t100 @t86 @t102 @t104 @t106 @t108 @t110 @t135 @t137 @t114 @t118)) % 16.06/16.76 (define @t142 () (not @t137)) % 16.06/16.76 (define @t143 () (not @t135)) % 16.06/16.76 (define @t144 () (not @t100)) % 16.06/16.76 (define @t145 () (not @t99)) % 16.06/16.76 (define @t146 () (= tptp.sk_c6 @t11)) % 16.06/16.76 (define @t147 () (tptp.inverse @t14)) % 16.06/16.76 (define @t148 () (tptp.multiply @t147 @t14)) % 16.06/16.76 (define @t149 () (= tptp.identity @t148)) % 16.06/16.76 (define @t150 () (tptp.multiply @t81 @t101)) % 16.06/16.76 (define @t151 () (tptp.multiply @t116 tptp.identity)) % 16.06/16.76 (define @t152 () (= @t151 @t150)) % 16.06/16.76 (define @t153 () (tptp.multiply tptp.sk_c1 tptp.identity)) % 16.06/16.76 (define @t154 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 16.06/16.76 (define @t155 () (= tptp.sk_c6 @t154)) % 16.06/16.76 (define @t156 () (and @t88 @t97 @t98 @t99 @t100 @t86 @t102 @t104 @t106 @t108 @t110 @t149 @t135 @t137 @t114 @t118 @t152)) % 16.06/16.76 (define @t157 () (not @t152)) % 16.06/16.76 (define @t158 () (not @t149)) % 16.06/16.76 (define @t159 () (not @t98)) % 16.06/16.76 (define @t160 () (= tptp.sk_c8 @t154)) % 16.06/16.76 (define @t161 () (not @t133)) % 16.06/16.76 (define @t162 () (not @t140)) % 16.06/16.76 (define @t163 () (or @t162 @t161)) % 16.06/16.76 (define @t164 () (not @t155)) % 16.06/16.76 (define @t165 () (or @t164 @t162)) % 16.06/16.76 (define @t166 () (not @t146)) % 16.06/16.76 (define @t167 () (not @t123)) % 16.06/16.76 (define @t168 () (or @t167 @t166)) % 16.06/16.76 (define @t169 () (not @t160)) % 16.06/16.76 (define @t170 () (or @t87 @t169)) % 16.06/16.76 (define @t171 () (not (= tptp.sk_c7 @t52))) % 16.06/16.76 (define @t172 () (not (= tptp.sk_c7 @t54))) % 16.06/16.76 (define @t173 () (or @t172 @t171)) % 16.06/16.76 (define @t174 () (forall (@list @t51) @t173)) % 16.06/16.76 (define @t175 () (not (= tptp.sk_c7 @t68))) % 16.06/16.76 (define @t176 () (not (= tptp.sk_c6 @t70))) % 16.06/16.76 (define @t177 () (or @t176 @t175)) % 16.06/16.76 (define @t178 () (forall (@list @t67) @t177)) % 16.06/16.76 (define @t179 () (not (= tptp.sk_c6 @t63))) % 16.06/16.76 (define @t180 () (not (= tptp.sk_c6 @t65))) % 16.06/16.76 (define @t181 () (or @t180 @t179)) % 16.06/16.76 (define @t182 () (forall (@list @t62) @t181)) % 16.06/16.76 (define @t183 () (not (= tptp.sk_c8 @t57))) % 16.06/16.76 (define @t184 () (not (= tptp.sk_c8 @t59))) % 16.06/16.76 (define @t185 () (or @t184 @t183)) % 16.06/16.76 (define @t186 () (forall (@list @t56) @t185)) % 16.06/16.76 (define @t187 () (or @t132 @t93 @t177 @t181 @t185 @t173)) % 16.06/16.76 (define @t188 () (or @t92 @t91 @t176 @t175 @t180 @t179 @t132 @t184 @t183 @t172 @t171)) % 16.06/16.76 (define @t189 () (@list tptp.sk_c2)) % 16.06/16.76 (define @t190 () (@list tptp.sk_c3)) % 16.06/16.76 (define @t191 () (= tptp.sk_c6 @t33)) % 16.06/16.76 (define @t192 () (= tptp.sk_c6 @t45)) % 16.06/16.76 (define @t193 () (= tptp.sk_c6 @t48)) % 16.06/16.76 (define @t194 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.06/16.76 (define @t195 () (= tptp.sk_c2 @t194)) % 16.06/16.76 (define @t196 () (tptp.multiply @t39 tptp.sk_c2)) % 16.06/16.76 (define @t197 () (= tptp.identity @t196)) % 16.06/16.76 (define @t198 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.06/16.76 (define @t199 () (= tptp.sk_c3 @t198)) % 16.06/16.76 (define @t200 () (tptp.multiply @t45 tptp.sk_c3)) % 16.06/16.76 (define @t201 () (= tptp.identity @t200)) % 16.06/16.76 (define @t202 () (tptp.multiply @t101 tptp.sk_c2)) % 16.06/16.76 (define @t203 () (tptp.multiply tptp.identity @t194)) % 16.06/16.76 (define @t204 () (tptp.multiply tptp.identity @t198)) % 16.06/16.76 (define @t205 () (tptp.multiply @t101 tptp.sk_c3)) % 16.06/16.76 (define @t206 () (and @t88 @t86 @t191 @t96 @t192 @t193 @t102 @t104 @t106 @t108 @t110 @t195 @t197 @t199 @t201 @t114 @t118)) % 16.06/16.76 (define @t207 () (not @t201)) % 16.06/16.76 (define @t208 () (not @t199)) % 16.06/16.76 (define @t209 () (not @t197)) % 16.06/16.76 (define @t210 () (not @t195)) % 16.06/16.76 (define @t211 () (not @t193)) % 16.06/16.76 (define @t212 () (not @t192)) % 16.06/16.76 (define @t213 () (not @t96)) % 16.06/16.76 (define @t214 () (not @t191)) % 16.06/16.76 (define @t215 () (and @t88 @t86 @t191 @t96 @t192 @t193 @t102 @t104 @t106 @t108 @t110 @t195 @t197 @t199 @t201 @t114 @t118 @t152)) % 16.06/16.76 (define @t216 () (not @t178)) % 16.06/16.76 (define @t217 () (and @t88 @t86 @t191 @t96 @t102 @t104 @t106 @t108 @t110 @t195 @t197 @t114 @t118)) % 16.06/16.76 (define @t218 () (not @t182)) % 16.06/16.76 (define @t219 () (not @t186)) % 16.06/16.76 (define @t220 () (and @t88 @t86 @t191 @t96 @t192 @t211 @t102 @t104 @t106 @t108 @t110 @t195 @t197 @t199 @t201 @t114 @t118)) % 16.06/16.76 (define @t221 () (and @t88 @t97 @t86 @t191 @t96 @t102 @t104 @t106 @t108 @t110 @t195 @t197 @t114 @t118)) % 16.06/16.76 (define @t222 () (= tptp.sk_c8 @t17)) % 16.06/16.76 (define @t223 () (tptp.multiply tptp.identity tptp.sk_c7)) % 16.06/16.76 (define @t224 () (= tptp.sk_c7 @t223)) % 16.06/16.76 (define @t225 () (tptp.multiply tptp.identity tptp.sk_c6)) % 16.06/16.76 (define @t226 () (= tptp.sk_c6 @t225)) % 16.06/16.76 (define @t227 () (tptp.multiply tptp.identity tptp.sk_c4)) % 16.06/16.76 (define @t228 () (= tptp.sk_c4 @t227)) % 16.06/16.76 (define @t229 () (tptp.multiply @t14 tptp.sk_c4)) % 16.06/16.76 (define @t230 () (= tptp.identity @t229)) % 16.06/16.76 (define @t231 () (tptp.multiply @t109 tptp.sk_c4)) % 16.06/16.76 (define @t232 () (= @t231 (tptp.multiply @t81 (tptp.multiply tptp.sk_c8 tptp.sk_c4)))) % 16.06/16.76 (define @t233 () (tptp.multiply @t14 @t17)) % 16.06/16.76 (define @t234 () (tptp.multiply @t229 tptp.sk_c7)) % 16.06/16.76 (define @t235 () (= @t234 @t233)) % 16.06/16.76 (define @t236 () (tptp.multiply tptp.sk_c4 tptp.sk_c8)) % 16.06/16.76 (define @t237 () (tptp.multiply @t14 @t236)) % 16.06/16.76 (define @t238 () (tptp.multiply @t229 tptp.sk_c8)) % 16.06/16.76 (define @t239 () (= @t238 @t237)) % 16.06/16.76 (define @t240 () (tptp.multiply tptp.sk_c8 tptp.identity)) % 16.06/16.76 (define @t241 () (tptp.multiply tptp.sk_c1 @t240)) % 16.06/16.76 (define @t242 () (tptp.multiply @t11 tptp.identity)) % 16.06/16.76 (define @t243 () (= @t242 @t241)) % 16.06/16.76 (define @t244 () (tptp.multiply @t20 @t23)) % 16.06/16.76 (define @t245 () (tptp.multiply @t136 tptp.sk_c6)) % 16.06/16.76 (define @t246 () (= @t245 @t244)) % 16.06/16.76 (define @t247 () (tptp.multiply tptp.sk_c8 tptp.sk_c8)) % 16.06/16.76 (define @t248 () (tptp.multiply tptp.sk_c7 @t247)) % 16.06/16.76 (define @t249 () (tptp.multiply @t9 tptp.sk_c8)) % 16.06/16.76 (define @t250 () (= @t249 @t248)) % 16.06/16.76 (define @t251 () (tptp.multiply tptp.sk_c6 tptp.sk_c8)) % 16.06/16.76 (define @t252 () (tptp.multiply tptp.sk_c5 @t251)) % 16.06/16.76 (define @t253 () (tptp.multiply @t23 tptp.sk_c8)) % 16.06/16.76 (define @t254 () (= @t253 @t252)) % 16.06/16.76 (define @t255 () (tptp.multiply tptp.sk_c7 @t80)) % 16.06/16.76 (define @t256 () (tptp.multiply tptp.sk_c7 tptp.sk_c7)) % 16.06/16.76 (define @t257 () (tptp.multiply @t256 tptp.sk_c5)) % 16.06/16.76 (define @t258 () (= @t257 @t255)) % 16.06/16.76 (define @t259 () (tptp.multiply @t101 tptp.sk_c4)) % 16.06/16.76 (define @t260 () (tptp.multiply tptp.identity @t227)) % 16.06/16.76 (define @t261 () (tptp.multiply @t101 tptp.sk_c6)) % 16.06/16.76 (define @t262 () (tptp.multiply tptp.identity @t225)) % 16.06/16.76 (define @t263 () (tptp.multiply @t101 tptp.sk_c7)) % 16.06/16.76 (define @t264 () (tptp.multiply tptp.identity @t223)) % 16.06/16.76 (define @t265 () (= tptp.sk_c7 @t236)) % 16.06/16.76 (define @t266 () (and @t88 @t97 @t98 @t222 @t99 @t100 @t102 @t108 @t110 @t224 @t226 @t228 @t230 @t137 @t118 @t232 @t235 @t239 @t243 @t246 @t250 @t254 @t258)) % 16.06/16.76 (define @t267 () (not @t258)) % 16.06/16.76 (define @t268 () (not @t254)) % 16.06/16.76 (define @t269 () (not @t250)) % 16.06/16.76 (define @t270 () (not @t246)) % 16.06/16.76 (define @t271 () (not @t243)) % 16.06/16.76 (define @t272 () (not @t239)) % 16.06/16.76 (define @t273 () (not @t235)) % 16.06/16.76 (define @t274 () (not @t232)) % 16.06/16.76 (define @t275 () (not @t230)) % 16.06/16.76 (define @t276 () (not @t228)) % 16.06/16.76 (define @t277 () (not @t226)) % 16.06/16.76 (define @t278 () (not @t224)) % 16.06/16.76 (define @t279 () (not @t222)) % 16.06/16.76 (define @t280 () (not @t265)) % 16.06/16.76 (define @t281 () (or @t280 @t159)) % 16.06/16.76 (define @t282 () (not @t281)) % 16.06/16.76 (define @t283 () (tptp.multiply tptp.sk_c8 @t247)) % 16.06/16.76 (define @t284 () (tptp.multiply @t247 tptp.sk_c8)) % 16.06/16.76 (define @t285 () (= @t284 @t283)) % 16.06/16.76 (define @t286 () (tptp.inverse @t20)) % 16.06/16.76 (define @t287 () (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) % 16.06/16.76 (define @t288 () (and @t88 @t97 @t98 @t222 @t99 @t100 @t102 @t108 @t110 @t224 @t226 @t228 @t230 @t137 @t118 @t152 @t232 @t235 @t239 @t243 @t285 @t246 @t250 @t254 @t258)) % 16.06/16.76 (define @t289 () (not @t285)) % 16.06/16.76 (define @t290 () (= tptp.sk_c6 @t256)) % 16.06/16.76 (define @t291 () (and @t99 @t100 @t102 @t226 @t137 @t246)) % 16.06/16.76 (define @t292 () (not @t287)) % 16.06/16.76 (define @t293 () (not @t290)) % 16.06/16.76 (define @t294 () (or @t293 @t292)) % 16.06/16.76 (define @t295 () (not @t294)) % 16.06/16.76 (define @t296 () (= tptp.sk_c6 @t236)) % 16.06/16.76 (define @t297 () (= tptp.sk_c6 @t14)) % 16.06/16.76 (define @t298 () (and @t88 @t97 @t98 @t222 @t99 @t100 @t102 @t108 @t110 @t224 @t226 @t228 @t230 @t137 @t118 @t232 @t235 @t239 @t243 @t285 @t246 @t250 @t254 @t258)) % 16.06/16.76 (define @t299 () (not @t296)) % 16.06/16.76 (define @t300 () (not @t297)) % 16.06/16.76 (define @t301 () (or @t300 @t299)) % 16.06/16.76 (define @t302 () (not @t301)) % 16.06/16.76 (define @t303 () (or @t159 @t279)) % 16.06/16.76 (define @t304 () (not @t303)) % 16.06/16.76 (define @t305 () (= tptp.sk_c7 @t14)) % 16.06/16.76 (define @t306 () (tptp.multiply tptp.sk_c4 tptp.sk_c6)) % 16.06/16.76 (define @t307 () (= tptp.sk_c7 @t306)) % 16.06/16.76 (define @t308 () (not @t307)) % 16.06/16.76 (define @t309 () (not @t305)) % 16.06/16.76 (define @t310 () (or @t309 @t308)) % 16.06/16.76 (define @t311 () (not @t310)) % 16.06/16.76 (define @t312 () (@list true)) % 16.06/16.76 (define @t313 () (@list @t88)) % 16.06/16.76 (define @t314 () (tptp.multiply tptp.sk_c8 @t80)) % 16.06/16.76 (define @t315 () (tptp.multiply tptp.sk_c8 @t314)) % 16.06/16.76 (define @t316 () (tptp.multiply @t247 @t80)) % 16.06/16.76 (define @t317 () (= @t316 @t315)) % 16.06/16.76 (define @t318 () (and @t97 @t98 @t222 @t99 @t100 @t102 @t108 @t110 @t224 @t226 @t228 @t230 @t137 @t118 @t232 @t235 @t239 @t246 @t250 @t254 @t258 @t317)) % 16.06/16.76 (define @t319 () (not @t317)) % 16.06/16.76 (define @t320 () (@list false false false false false false false false false false false false false false false false false false false false false false)) % 16.06/16.76 (define @t321 () (@list @t97 @t98 @t222 @t99 @t100 @t102 @t108 @t110 @t224 @t226 @t228 @t230 @t137 @t118 @t232 @t235 @t239 @t246 @t250 @t254 @t258 @t317)) % 16.06/16.76 (define @t322 () (= tptp.sk_c7 @t107)) % 16.06/16.76 (define @t323 () (= tptp.sk_c7 @t9)) % 16.06/16.76 (define @t324 () (and @t97 @t98 @t222 @t99 @t100 @t102 @t108 @t110 @t224 @t226 @t228 @t230 @t137 @t118 @t232 @t235 @t239 @t285 @t246 @t250 @t254 @t258 @t317)) % 16.06/16.76 (define @t325 () (@list false false false false false false false false false false false false false false false false false false false false false false false)) % 16.06/16.76 (define @t326 () (@list @t97 @t98 @t222 @t99 @t100 @t102 @t108 @t110 @t224 @t226 @t228 @t230 @t137 @t118 @t232 @t235 @t239 @t285 @t246 @t250 @t254 @t258 @t317)) % 16.06/16.76 (define @t327 () (@list false false)) % 16.06/16.76 (define @t328 () (@quantifiers_skolemize @t186 0)) % 16.06/16.76 (define @t329 () (@list @t328)) % 16.06/16.76 (define @t330 () (tptp.multiply @t328 tptp.sk_c7)) % 16.06/16.76 (define @t331 () (tptp.inverse @t328)) % 16.06/16.76 (define @t332 () (= tptp.sk_c8 @t331)) % 16.06/16.76 (define @t333 () (not @t332)) % 16.06/16.76 (define @t334 () (or @t333 (not (= tptp.sk_c8 @t330)))) % 16.06/16.76 (define @t335 () (not @t334)) % 16.06/16.76 (define @t336 () (tptp.multiply tptp.identity @t328)) % 16.06/16.76 (define @t337 () (= @t328 @t336)) % 16.06/16.76 (define @t338 () (= tptp.identity (tptp.multiply @t331 @t328))) % 16.06/16.76 (define @t339 () (tptp.multiply tptp.sk_c8 @t328)) % 16.06/16.76 (define @t340 () (tptp.multiply @t116 @t339)) % 16.06/16.76 (define @t341 () (= (tptp.multiply @t117 @t328) @t340)) % 16.06/16.76 (define @t342 () (and @t97 @t98 @t222 @t99 @t100 @t102 @t108 @t110 @t224 @t226 @t228 @t230 @t137 @t118 @t152 @t332 @t232 @t235 @t239 @t337 @t285 @t338 @t246 @t341 @t250 @t254 @t258 @t317)) % 16.06/16.76 (assume @p1 @t4) % 16.06/16.76 (assume @p2 @t6) % 16.06/16.76 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.06/16.76 (assume @p4 @t13) % 16.06/16.76 (assume @p5 @t16) % 16.06/16.76 (assume @p6 @t19) % 16.06/16.76 (assume @p7 @t22) % 16.06/16.76 (assume @p8 @t25) % 16.06/16.76 (assume @p9 @t28) % 16.06/16.76 (assume @p10 @t29) % 16.06/16.76 (assume @p11 @t30) % 16.06/16.76 (assume @p12 @t31) % 16.06/16.76 (assume @p13 @t32) % 16.06/16.76 (assume @p14 @t35) % 16.06/16.76 (assume @p15 @t36) % 16.06/16.76 (assume @p16 (or @t34 @t18)) % 16.06/16.76 (assume @p17 @t37) % 16.06/16.76 (assume @p18 @t38) % 16.06/16.76 (assume @p19 @t41) % 16.06/16.76 (assume @p20 @t42) % 16.06/16.76 (assume @p21 (or @t40 @t18)) % 16.06/16.76 (assume @p22 @t43) % 16.06/16.76 (assume @p23 @t44) % 16.06/16.76 (assume @p24 @t47) % 16.06/16.76 (assume @p25 (or @t46 @t15)) % 16.06/16.76 (assume @p26 (or @t46 @t18)) % 16.06/16.76 (assume @p27 (or @t46 @t21)) % 16.06/16.76 (assume @p28 (or @t46 @t24)) % 16.06/16.76 (assume @p29 @t50) % 16.06/16.76 (assume @p30 (or @t49 @t15)) % 16.06/16.76 (assume @p31 (or @t49 @t18)) % 16.06/16.76 (assume @p32 (or @t49 @t21)) % 16.06/16.76 (assume @p33 (or @t49 @t24)) % 16.06/16.76 (assume @p34 @t79) % 16.06/16.76 (step @p35 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 tptp.sk_c8 @t80))) % 16.06/16.76 (step @p36 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c7 tptp.sk_c5))) % 16.06/16.76 (step @p37 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c5 tptp.sk_c6 tptp.sk_c8))) % 16.06/16.76 (step @p38 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c8 tptp.sk_c8))) % 16.06/16.76 (step @p39 :rule instantiate :premises (@p3) :args ((@list @t20 tptp.sk_c5 tptp.sk_c6))) % 16.06/16.76 (step @p40 :rule instantiate :premises (@p3) :args ((@list @t14 tptp.sk_c4 tptp.sk_c8))) % 16.06/16.76 (step @p41 :rule instantiate :premises (@p3) :args ((@list @t14 tptp.sk_c4 tptp.sk_c7))) % 16.06/16.76 (step @p42 :rule instantiate :premises (@p3) :args ((@list @t81 tptp.sk_c8 tptp.sk_c4))) % 16.06/16.76 (step @p43 :rule instantiate :premises (@p3) :args ((@list @t81 tptp.identity tptp.sk_c8))) % 16.06/16.76 (step @p44 :rule eq-symm :args (@t5 tptp.identity)) % 16.06/16.76 (step @p45 :rule cong :premises (@p44) :args (@t6)) % 16.06/16.76 (step @p46 :rule eq_resolve :premises (@p2 @p45)) % 16.06/16.76 (step @p47 :rule instantiate :premises (@p46) :args (@t82)) % 16.06/16.76 (step @p48 :rule instantiate :premises (@p46) :args (@t83)) % 16.06/16.76 (step @p49 :rule eq-symm :args (@t2 @t1)) % 16.06/16.76 (step @p50 :rule cong :premises (@p49) :args (@t4)) % 16.06/16.76 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 16.06/16.76 (step @p52 :rule instantiate :premises (@p51) :args (@t83)) % 16.06/16.76 (step @p53 :rule instantiate :premises (@p51) :args ((@list tptp.sk_c6))) % 16.06/16.76 (step @p54 :rule instantiate :premises (@p51) :args (@t84)) % 16.06/16.76 (step @p55 :rule instantiate :premises (@p46) :args (@t85)) % 16.06/16.76 (step @p56 :rule instantiate :premises (@p51) :args (@t85)) % 16.06/16.76 (step @p57 :rule instantiate :premises (@p51) :args ((@list tptp.identity))) % 16.06/16.76 (step @p58 :rule cnf_or_pos :args (@t90)) % 16.06/16.76 (step @p59 :rule reordering :premises (@p58) :args ((or @t89 @t87 (not @t90)))) % 16.06/16.76 (assume-push @p3943 @t94) % 16.06/16.76 (step @p61 :rule instantiate :premises (@p3943) :args (@t95)) % 16.06/16.76 (step-pop @p3944 :rule scope :premises (@p61)) % 16.06/16.76 (step @p62 :rule process_scope :premises (@p3944) :args (@t90)) % 16.06/16.76 (step @p64 :rule implies_elim :premises (@p62)) % 16.06/16.76 (step @p65 :rule eq-symm :args (@t9 tptp.sk_c6)) % 16.06/16.76 (step @p66 :rule eq-symm :args (@t39 tptp.sk_c7)) % 16.06/16.76 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t41)) % 16.06/16.76 (step @p68 :rule eq_resolve :premises (@p19 @p67)) % 16.06/16.76 (step @p69 :rule reordering :premises (@p68) :args ((or @t97 @t96))) % 16.06/16.76 (step @p70 :rule eq-symm :args (@t14 tptp.sk_c8)) % 16.06/16.76 (step @p71 :rule nary_cong :premises (@p66 @p70) :args (@t42)) % 16.06/16.76 (step @p72 :rule eq_resolve :premises (@p20 @p71)) % 16.06/16.76 (step @p73 :rule reordering :premises (@p72) :args ((or @t98 @t96))) % 16.06/16.76 (step @p74 :rule eq-symm :args (@t20 tptp.sk_c7)) % 16.06/16.76 (step @p75 :rule nary_cong :premises (@p66 @p74) :args (@t43)) % 16.06/16.76 (step @p76 :rule eq_resolve :premises (@p22 @p75)) % 16.06/16.76 (step @p77 :rule reordering :premises (@p76) :args ((or @t99 @t96))) % 16.06/16.76 (step @p78 :rule eq-symm :args (@t23 tptp.sk_c7)) % 16.06/16.76 (step @p79 :rule nary_cong :premises (@p66 @p78) :args (@t44)) % 16.06/16.76 (step @p80 :rule eq_resolve :premises (@p23 @p79)) % 16.06/16.76 (step @p81 :rule reordering :premises (@p80) :args ((or @t100 @t96))) % 16.06/16.76 (step @p82 :rule instantiate :premises (@p51) :args (@t95)) % 16.06/16.76 (step @p83 :rule instantiate :premises (@p46) :args (@t95)) % 16.06/16.76 (step @p84 :rule instantiate :premises (@p3) :args ((@list @t81 tptp.sk_c8 tptp.sk_c1))) % 16.06/16.76 (assume-push @p3945 @t88) % 16.06/16.76 (assume-push @p3946 @t97) % 16.06/16.76 (assume-push @p3947 @t86) % 16.06/16.76 (assume-push @p3948 @t102) % 16.06/16.76 (assume-push @p3949 @t104) % 16.06/16.76 (assume-push @p3950 @t106) % 16.06/16.76 (assume-push @p3951 @t108) % 16.06/16.76 (assume-push @p3952 @t110) % 16.06/16.76 (assume-push @p3953 @t114) % 16.06/16.76 (assume-push @p3954 @t118) % 16.06/16.76 (assume-push @p3955 @t86) % 16.06/16.76 (assume-push @p3956 @t108) % 16.06/16.76 (assume-push @p3957 @t102) % 16.06/16.76 (assume-push @p3958 @t110) % 16.06/16.76 (assume-push @p3959 @t118) % 16.06/16.76 (assume-push @p3960 @t106) % 16.06/16.76 (assume-push @p3961 @t114) % 16.06/16.76 (assume-push @p3962 @t104) % 16.06/16.76 (assume-push @p3963 @t88) % 16.06/16.76 (assume-push @p3964 @t97) % 16.06/16.76 (step @p105 :rule symm :premises (@p56)) % 16.06/16.76 (step @p106 :rule refl :args (tptp.sk_c8)) % 16.06/16.76 (step @p107 :rule symm :premises (@p57)) % 16.06/16.76 (step @p108 :rule cong :premises (@p107 @p106) :args (@t119)) % 16.06/16.76 (step @p109 :rule cong :premises (@p57 @p105) :args (@t120)) % 16.06/16.76 (step @p110 :rule symm :premises (@p55)) % 16.06/16.76 (step @p111 :rule refl :args (@t81)) % 16.06/16.76 (step @p112 :rule cong :premises (@p111 @p105) :args (@t115)) % 16.06/16.76 (step @p113 :rule symm :premises (@p83)) % 16.06/16.76 (step @p114 :rule refl :args (tptp.sk_c1)) % 16.06/16.76 (step @p115 :rule cong :premises (@p3947 @p114) :args (@t111)) % 16.06/16.76 (step @p116 :rule trans :premises (@p115 @p113)) % 16.06/16.76 (step @p117 :rule cong :premises (@p111 @p116) :args (@t112)) % 16.06/16.76 (step @p118 :rule symm :premises (@p82)) % 16.06/16.76 (step @p119 :rule cong :premises (@p55 @p118) :args (@t121)) % 16.06/16.76 (step @p120 :rule cong :premises (@p107 @p82) :args (@t122)) % 16.06/16.76 (step @p121 :rule cong :premises (@p57 @p114) :args (@t103)) % 16.06/16.76 (step @p122 :rule trans :premises (@p82 @p121 @p120 @p119 @p84 @p117)) % 16.06/16.76 (step @p123 :rule cong :premises (@p122 @p106) :args (@t11)) % 16.06/16.76 (step @p124 :rule trans :premises (@p3945 @p123 @p43 @p112 @p110)) % 16.06/16.76 (step @p125 :rule cong :premises (@p124 @p56) :args (@t9)) % 16.06/16.76 (step @p126 :rule trans :premises (@p3946 @p125 @p109 @p108 @p105 @p3947)) % 16.06/16.76 (step-pop @p3965 :rule scope :premises (@p126)) % 16.06/16.76 (step-pop @p3966 :rule scope :premises (@p3965)) % 16.06/16.76 (step-pop @p3967 :rule scope :premises (@p3966)) % 16.06/16.76 (step-pop @p3968 :rule scope :premises (@p3967)) % 16.06/16.76 (step-pop @p3969 :rule scope :premises (@p3968)) % 16.06/16.76 (step-pop @p3970 :rule scope :premises (@p3969)) % 16.06/16.76 (step-pop @p3971 :rule scope :premises (@p3970)) % 16.06/16.76 (step-pop @p3972 :rule scope :premises (@p3971)) % 16.06/16.76 (step-pop @p3973 :rule scope :premises (@p3972)) % 16.06/16.76 (step-pop @p3974 :rule scope :premises (@p3973)) % 16.06/16.76 (step @p127 :rule process_scope :premises (@p3974) :args (@t123)) % 16.06/16.76 (step @p138 :rule and_intro :premises (@p3947 @p56 @p57 @p55 @p43 @p83 @p84 @p82 @p3945 @p3946)) % 16.06/16.76 (step @p139 :rule modus_ponens :premises (@p138 @p127)) % 16.06/16.76 (step-pop @p3975 :rule scope :premises (@p139)) % 16.06/16.76 (step-pop @p3976 :rule scope :premises (@p3975)) % 16.06/16.76 (step-pop @p3977 :rule scope :premises (@p3976)) % 16.06/16.76 (step-pop @p3978 :rule scope :premises (@p3977)) % 16.06/16.76 (step-pop @p3979 :rule scope :premises (@p3978)) % 16.06/16.76 (step-pop @p3980 :rule scope :premises (@p3979)) % 16.06/16.76 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(@p3910 @p3857)) % 16.06/16.78 (step-pop @p6480 :rule scope :premises (@p3911)) % 16.06/16.78 (step-pop @p6481 :rule scope :premises (@p6480)) % 16.06/16.78 (step-pop @p6482 :rule scope :premises (@p6481)) % 16.06/16.78 (step-pop @p6483 :rule scope :premises (@p6482)) % 16.06/16.78 (step-pop @p6484 :rule scope :premises (@p6483)) % 16.06/16.78 (step-pop @p6485 :rule scope :premises (@p6484)) % 16.06/16.78 (step-pop @p6486 :rule scope :premises (@p6485)) % 16.06/16.78 (step-pop @p6487 :rule scope :premises (@p6486)) % 16.06/16.78 (step-pop @p6488 :rule scope :premises (@p6487)) % 16.06/16.78 (step-pop @p6489 :rule scope :premises (@p6488)) % 16.06/16.78 (step-pop @p6490 :rule scope :premises (@p6489)) % 16.06/16.78 (step-pop @p6491 :rule scope :premises (@p6490)) % 16.06/16.78 (step-pop @p6492 :rule scope :premises (@p6491)) % 16.06/16.78 (step-pop @p6493 :rule scope :premises (@p6492)) % 16.06/16.78 (step-pop @p6494 :rule scope :premises (@p6493)) % 16.06/16.78 (step-pop @p6495 :rule scope :premises (@p6494)) % 16.06/16.78 (step-pop @p6496 :rule scope :premises (@p6495)) % 16.06/16.78 (step-pop @p6497 :rule scope :premises (@p6496)) % 16.06/16.78 (step-pop @p6498 :rule scope :premises (@p6497)) % 16.06/16.78 (step-pop @p6499 :rule scope :premises (@p6498)) % 16.06/16.78 (step-pop @p6500 :rule scope :premises (@p6499)) % 16.06/16.78 (step-pop @p6501 :rule scope :premises (@p6500)) % 16.06/16.78 (step-pop @p6502 :rule scope :premises (@p6501)) % 16.06/16.78 (step @p3912 :rule process_scope :premises (@p6502) :args (@t305)) % 16.06/16.78 (step @p3936 :rule implies_elim :premises (@p3912)) % 16.06/16.78 (step @p3937 :rule resolution :premises (@p3328 @p3936) :args (true @t324)) % 16.06/16.78 (step @p3938 :rule reordering :premises (@p3937) :args ((or @t132 @t159 @t279 @t145 @t144 @t131 @t128 @t127 @t278 @t277 @t276 @t275 @t142 @t125 @t274 @t273 @t272 @t289 @t270 @t269 @t268 @t267 @t305 @t319))) % 16.06/16.78 (step @p3939 :rule chain_m_resolution :premises (@p3938 @p3003 @p3000 @p2997 @p2994 @p2991 @p57 @p56 @p55 @p54 @p53 @p52 @p48 @p47 @p43 @p42 @p41 @p40 @p2188 @p39 @p38 @p37 @p36 @p35) :args (@t305 @t325 @t326)) % 16.06/16.78 (step @p3940 :rule chain_m_resolution :premises (@p2981 @p3939 @p3829) :args (@t311 @t327 (@list @t305 @t307))) % 16.06/16.78 (step @p3941 :rule chain_m_resolution :premises (@p2986 @p3940) :args ((not @t174) @t312 (@list @t310))) % 16.06/16.78 (step @p3942 false :rule chain_m_resolution :premises (@p679 @p3941 @p3687 @p3338 @p3003 @p3547 @p3333) :args (false (@list true true true false true true) (@list @t174 @t94 @t186 @t97 @t178 @t182))) % 16.06/16.78 ) % 16.06/16.78 % SZS output end Proof % 16.06/16.78 % cvc5 exiting %------------------------------------------------------------------------------