%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP289-1 : 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 : n003.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 08:20:24 AM UTC 2026 % Result : Unsatisfiable 16.09s 16.53s % Output : Proof 16.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP289-1 : 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 : n003.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 01:00:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/16.24 --- Run --no-e-matching --full-saturate-quant at 6... % 16.09/16.53 % SZS status Unsatisfiable % 16.09/16.53 % SZS output start Proof % 16.09/16.55 ( % 16.09/16.55 (declare-sort $$unsorted 0) % 16.09/16.55 (declare-const tptp.sk_c2 $$unsorted) % 16.09/16.55 (declare-const tptp.sk_c1 $$unsorted) % 16.09/16.55 (declare-const tptp.sk_c6 $$unsorted) % 16.09/16.55 (declare-const tptp.sk_c7 $$unsorted) % 16.09/16.55 (declare-const tptp.sk_c4 $$unsorted) % 16.09/16.55 (declare-const tptp.sk_c5 $$unsorted) % 16.09/16.55 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.09/16.55 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.09/16.55 (declare-const tptp.sk_c3 $$unsorted) % 16.09/16.55 (declare-const tptp.identity $$unsorted) % 16.09/16.55 (define @t1 () (@var "X" $$unsorted)) % 16.09/16.55 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.09/16.55 (define @t3 () (@list @t1)) % 16.09/16.55 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.09/16.55 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.09/16.55 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.09/16.55 (define @t7 () (@var "Z" $$unsorted)) % 16.09/16.55 (define @t8 () (@var "Y" $$unsorted)) % 16.09/16.55 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.09/16.55 (define @t10 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 16.09/16.55 (define @t11 () (= @t10 tptp.sk_c5)) % 16.09/16.55 (define @t12 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 16.09/16.55 (define @t13 () (= @t12 tptp.sk_c5)) % 16.09/16.55 (define @t14 () (or @t13 @t11)) % 16.09/16.55 (define @t15 () (tptp.inverse tptp.sk_c3)) % 16.09/16.55 (define @t16 () (= @t15 tptp.sk_c7)) % 16.09/16.55 (define @t17 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 16.09/16.55 (define @t18 () (= @t17 tptp.sk_c7)) % 16.09/16.55 (define @t19 () (tptp.inverse tptp.sk_c4)) % 16.09/16.55 (define @t20 () (= @t19 tptp.sk_c6)) % 16.09/16.55 (define @t21 () (or @t13 @t20)) % 16.09/16.55 (define @t22 () (tptp.multiply tptp.sk_c4 tptp.sk_c5)) % 16.09/16.55 (define @t23 () (= @t22 tptp.sk_c6)) % 16.09/16.55 (define @t24 () (or @t13 @t23)) % 16.09/16.55 (define @t25 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 16.09/16.55 (define @t26 () (= @t25 tptp.sk_c6)) % 16.09/16.55 (define @t27 () (or @t26 @t11)) % 16.09/16.55 (define @t28 () (or @t26 @t16)) % 16.09/16.55 (define @t29 () (or @t26 @t18)) % 16.09/16.55 (define @t30 () (or @t26 @t20)) % 16.09/16.55 (define @t31 () (or @t26 @t23)) % 16.09/16.55 (define @t32 () (tptp.inverse tptp.sk_c1)) % 16.09/16.55 (define @t33 () (= @t32 tptp.sk_c7)) % 16.09/16.55 (define @t34 () (or @t33 @t11)) % 16.09/16.55 (define @t35 () (or @t33 @t16)) % 16.09/16.55 (define @t36 () (or @t33 @t18)) % 16.09/16.55 (define @t37 () (or @t33 @t20)) % 16.09/16.55 (define @t38 () (or @t33 @t23)) % 16.09/16.55 (define @t39 () (tptp.multiply tptp.sk_c2 tptp.sk_c6)) % 16.09/16.55 (define @t40 () (= @t39 tptp.sk_c5)) % 16.09/16.55 (define @t41 () (or @t40 @t16)) % 16.09/16.55 (define @t42 () (or @t40 @t20)) % 16.09/16.55 (define @t43 () (or @t40 @t23)) % 16.09/16.55 (define @t44 () (tptp.inverse tptp.sk_c2)) % 16.09/16.55 (define @t45 () (= @t44 tptp.sk_c6)) % 16.09/16.55 (define @t46 () (or @t45 @t16)) % 16.09/16.55 (define @t47 () (or @t45 @t20)) % 16.09/16.55 (define @t48 () (or @t45 @t23)) % 16.09/16.55 (define @t49 () (@var "X2" $$unsorted)) % 16.09/16.55 (define @t50 () (tptp.multiply @t49 tptp.sk_c5)) % 16.09/16.55 (define @t51 () (not (= @t50 tptp.sk_c6))) % 16.09/16.55 (define @t52 () (tptp.inverse @t49)) % 16.09/16.55 (define @t53 () (not (= @t52 tptp.sk_c6))) % 16.09/16.55 (define @t54 () (@var "X1" $$unsorted)) % 16.09/16.55 (define @t55 () (tptp.multiply @t54 tptp.sk_c6)) % 16.09/16.55 (define @t56 () (not (= @t55 tptp.sk_c7))) % 16.09/16.55 (define @t57 () (tptp.inverse @t54)) % 16.09/16.55 (define @t58 () (not (= @t57 tptp.sk_c7))) % 16.09/16.55 (define @t59 () (not @t11)) % 16.09/16.55 (define @t60 () (@var "X4" $$unsorted)) % 16.09/16.55 (define @t61 () (tptp.inverse @t60)) % 16.09/16.55 (define @t62 () (not (= @t61 tptp.sk_c6))) % 16.09/16.55 (define @t63 () (tptp.multiply @t60 tptp.sk_c6)) % 16.09/16.55 (define @t64 () (not (= @t63 tptp.sk_c5))) % 16.09/16.55 (define @t65 () (@var "X3" $$unsorted)) % 16.09/16.55 (define @t66 () (tptp.inverse @t65)) % 16.09/16.55 (define @t67 () (not (= @t66 tptp.sk_c7))) % 16.09/16.55 (define @t68 () (tptp.multiply @t65 tptp.sk_c7)) % 16.09/16.55 (define @t69 () (not (= @t68 tptp.sk_c6))) % 16.09/16.55 (define @t70 () (not @t13)) % 16.09/16.55 (define @t71 () (or @t70 @t69 @t67 @t64 @t62 @t59 @t58 @t56 @t53 @t51)) % 16.09/16.55 (define @t72 () (@list @t65 @t60 @t54 @t49)) % 16.09/16.55 (define @t73 () (forall @t72 @t71)) % 16.09/16.55 (define @t74 () (@list tptp.identity)) % 16.09/16.55 (define @t75 () (@list tptp.sk_c7)) % 16.09/16.55 (define @t76 () (@list tptp.sk_c6)) % 16.09/16.55 (define @t77 () (@list tptp.sk_c4)) % 16.09/16.55 (define @t78 () (tptp.inverse tptp.sk_c7)) % 16.09/16.55 (define @t79 () (tptp.inverse tptp.sk_c6)) % 16.09/16.55 (define @t80 () (tptp.multiply @t79 tptp.identity)) % 16.09/16.55 (define @t81 () (= tptp.sk_c7 @t32)) % 16.09/16.55 (define @t82 () (not @t81)) % 16.09/16.55 (define @t83 () (= tptp.sk_c6 @t25)) % 16.09/16.55 (define @t84 () (not @t83)) % 16.09/16.55 (define @t85 () (or @t84 @t82)) % 16.09/16.55 (define @t86 () (not (= tptp.sk_c7 @t66))) % 16.09/16.55 (define @t87 () (not (= tptp.sk_c6 @t68))) % 16.09/16.55 (define @t88 () (or @t87 @t86)) % 16.09/16.55 (define @t89 () (forall (@list @t65) @t88)) % 16.09/16.55 (define @t90 () (@list tptp.sk_c1)) % 16.09/16.55 (define @t91 () (= tptp.sk_c5 @t12)) % 16.09/16.55 (define @t92 () (tptp.multiply tptp.identity tptp.identity)) % 16.09/16.55 (define @t93 () (= tptp.identity @t92)) % 16.09/16.55 (define @t94 () (tptp.multiply tptp.identity tptp.sk_c7)) % 16.09/16.55 (define @t95 () (= tptp.sk_c7 @t94)) % 16.09/16.55 (define @t96 () (tptp.multiply @t78 tptp.sk_c7)) % 16.09/16.55 (define @t97 () (= tptp.identity @t96)) % 16.09/16.55 (define @t98 () (tptp.multiply tptp.identity tptp.sk_c6)) % 16.09/16.55 (define @t99 () (= tptp.sk_c6 @t98)) % 16.09/16.55 (define @t100 () (tptp.multiply @t32 tptp.sk_c1)) % 16.09/16.55 (define @t101 () (= tptp.identity @t100)) % 16.09/16.55 (define @t102 () (tptp.multiply @t32 @t25)) % 16.09/16.55 (define @t103 () (= (tptp.multiply @t100 tptp.sk_c7) @t102)) % 16.09/16.55 (define @t104 () (tptp.multiply @t78 @t12)) % 16.09/16.55 (define @t105 () (tptp.multiply @t96 tptp.sk_c6)) % 16.09/16.55 (define @t106 () (= @t105 @t104)) % 16.09/16.55 (define @t107 () (tptp.multiply @t92 tptp.sk_c6)) % 16.09/16.55 (define @t108 () (tptp.multiply tptp.identity @t98)) % 16.09/16.55 (define @t109 () (tptp.multiply tptp.identity @t94)) % 16.09/16.55 (define @t110 () (tptp.multiply @t92 tptp.sk_c7)) % 16.09/16.55 (define @t111 () (= tptp.sk_c5 @t10)) % 16.09/16.55 (define @t112 () (and @t91 @t83 @t81 @t93 @t95 @t97 @t99 @t101 @t103 @t106)) % 16.09/16.55 (define @t113 () (not @t106)) % 16.09/16.55 (define @t114 () (not @t103)) % 16.09/16.55 (define @t115 () (not @t101)) % 16.09/16.55 (define @t116 () (not @t99)) % 16.09/16.55 (define @t117 () (not @t97)) % 16.09/16.55 (define @t118 () (not @t95)) % 16.09/16.55 (define @t119 () (not @t93)) % 16.09/16.55 (define @t120 () (not @t91)) % 16.09/16.55 (define @t121 () (forall @t3 (= tptp.identity @t5))) % 16.09/16.55 (define @t122 () (forall @t3 (= @t1 @t2))) % 16.09/16.55 (define @t123 () (= tptp.sk_c6 @t44)) % 16.09/16.55 (define @t124 () (= tptp.sk_c7 @t15)) % 16.09/16.55 (define @t125 () (= tptp.sk_c6 @t19)) % 16.09/16.55 (define @t126 () (= tptp.sk_c6 @t22)) % 16.09/16.55 (define @t127 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) % 16.09/16.55 (define @t128 () (and @t91 @t83 @t81 @t93 @t95 @t101 @t103)) % 16.09/16.55 (define @t129 () (tptp.multiply tptp.identity tptp.sk_c4)) % 16.09/16.55 (define @t130 () (= tptp.sk_c4 @t129)) % 16.09/16.55 (define @t131 () (tptp.multiply @t19 tptp.sk_c4)) % 16.09/16.55 (define @t132 () (= tptp.identity @t131)) % 16.09/16.55 (define @t133 () (tptp.multiply tptp.identity @t129)) % 16.09/16.55 (define @t134 () (tptp.multiply @t92 tptp.sk_c4)) % 16.09/16.55 (define @t135 () (= tptp.sk_c6 @t32)) % 16.09/16.55 (define @t136 () (and @t91 @t125 @t126 @t83 @t81 @t93 @t95 @t97 @t99 @t130 @t132 @t101 @t103 @t106)) % 16.09/16.55 (define @t137 () (= tptp.sk_c7 @t98)) % 16.09/16.55 (define @t138 () (tptp.inverse tptp.identity)) % 16.09/16.55 (define @t139 () (= tptp.sk_c7 @t138)) % 16.09/16.55 (define @t140 () (not @t127)) % 16.09/16.55 (define @t141 () (not @t135)) % 16.09/16.55 (define @t142 () (or @t141 @t140)) % 16.09/16.55 (define @t143 () (not @t137)) % 16.09/16.55 (define @t144 () (not @t139)) % 16.09/16.55 (define @t145 () (or @t144 @t143)) % 16.09/16.55 (define @t146 () (not (= tptp.sk_c6 @t50))) % 16.09/16.55 (define @t147 () (not (= tptp.sk_c6 @t52))) % 16.09/16.55 (define @t148 () (or @t147 @t146)) % 16.09/16.55 (define @t149 () (forall (@list @t49) @t148)) % 16.09/16.55 (define @t150 () (not (= tptp.sk_c7 @t55))) % 16.09/16.55 (define @t151 () (not (= tptp.sk_c7 @t57))) % 16.09/16.55 (define @t152 () (or @t151 @t150)) % 16.09/16.55 (define @t153 () (forall (@list @t54) @t152)) % 16.09/16.55 (define @t154 () (not (= tptp.sk_c6 @t61))) % 16.09/16.55 (define @t155 () (not (= tptp.sk_c5 @t63))) % 16.09/16.55 (define @t156 () (or @t155 @t154)) % 16.09/16.55 (define @t157 () (forall (@list @t60) @t156)) % 16.09/16.55 (define @t158 () (not @t111)) % 16.09/16.55 (define @t159 () (or @t120 @t158 @t88 @t156 @t152 @t148)) % 16.09/16.55 (define @t160 () (or @t120 @t87 @t86 @t155 @t154 @t158 @t151 @t150 @t147 @t146)) % 16.09/16.55 (define @t161 () (= tptp.sk_c6 @t78)) % 16.09/16.55 (define @t162 () (and @t91 @t124 @t125 @t126 @t83 @t81 @t93 @t95 @t97 @t99 @t130 @t132 @t101 @t103 @t106)) % 16.09/16.55 (define @t163 () (not @t161)) % 16.09/16.55 (define @t164 () (or @t120 @t163)) % 16.09/16.55 (define @t165 () (not @t123)) % 16.09/16.55 (define @t166 () (= tptp.sk_c5 @t39)) % 16.09/16.55 (define @t167 () (not @t166)) % 16.09/16.55 (define @t168 () (or @t167 @t165)) % 16.09/16.55 (define @t169 () (@list tptp.sk_c2)) % 16.09/16.55 (define @t170 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.09/16.55 (define @t171 () (tptp.multiply tptp.identity @t170)) % 16.09/16.55 (define @t172 () (tptp.multiply @t92 tptp.sk_c2)) % 16.09/16.55 (define @t173 () (= @t172 @t171)) % 16.09/16.55 (define @t174 () (= tptp.sk_c2 @t170)) % 16.09/16.55 (define @t175 () (tptp.multiply @t44 tptp.sk_c2)) % 16.09/16.55 (define @t176 () (= tptp.identity @t175)) % 16.09/16.55 (define @t177 () (and @t91 @t83 @t81 @t166 @t123 @t93 @t95 @t97 @t99 @t101 @t103 @t106 @t173 @t174 @t176)) % 16.09/16.55 (define @t178 () (not @t176)) % 16.09/16.55 (define @t179 () (not @t174)) % 16.09/16.55 (define @t180 () (not @t173)) % 16.09/16.55 (define @t181 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.09/16.55 (define @t182 () (= tptp.sk_c1 @t181)) % 16.09/16.55 (define @t183 () (and @t91 @t83 @t81 @t166 @t123 @t93 @t95 @t97 @t99 @t182 @t101 @t103 @t106 @t173 @t174 @t176)) % 16.09/16.55 (define @t184 () (= tptp.sk_c7 @t17)) % 16.09/16.55 (define @t185 () (@list tptp.sk_c3)) % 16.09/16.55 (define @t186 () (@list @t32)) % 16.09/16.55 (define @t187 () (@list @t78)) % 16.09/16.55 (define @t188 () (tptp.multiply tptp.sk_c7 @t78)) % 16.09/16.55 (define @t189 () (tptp.inverse @t78)) % 16.09/16.55 (define @t190 () (tptp.inverse @t32)) % 16.09/16.55 (define @t191 () (tptp.multiply @t190 tptp.sk_c7)) % 16.09/16.55 (define @t192 () (tptp.multiply @t191 @t32)) % 16.09/16.55 (define @t193 () (= @t192 (tptp.multiply @t190 (tptp.multiply tptp.sk_c7 @t32)))) % 16.09/16.55 (define @t194 () (not @t193)) % 16.09/16.55 (define @t195 () (tptp.multiply @t80 @t10)) % 16.09/16.55 (define @t196 () (tptp.multiply @t80 tptp.sk_c6)) % 16.09/16.55 (define @t197 () (tptp.multiply @t196 tptp.sk_c7)) % 16.09/16.55 (define @t198 () (= @t197 @t195)) % 16.09/16.55 (define @t199 () (not @t198)) % 16.09/16.55 (define @t200 () (tptp.multiply @t79 @t98)) % 16.09/16.55 (define @t201 () (= @t196 @t200)) % 16.09/16.55 (define @t202 () (not @t201)) % 16.09/16.55 (define @t203 () (tptp.multiply tptp.sk_c6 tptp.sk_c4)) % 16.09/16.55 (define @t204 () (tptp.multiply @t79 @t203)) % 16.09/16.55 (define @t205 () (tptp.multiply @t79 tptp.sk_c6)) % 16.09/16.55 (define @t206 () (tptp.multiply @t205 tptp.sk_c4)) % 16.09/16.55 (define @t207 () (= @t206 @t204)) % 16.09/16.55 (define @t208 () (not @t207)) % 16.09/16.55 (define @t209 () (tptp.multiply @t190 @t32)) % 16.09/16.55 (define @t210 () (tptp.multiply @t209 tptp.sk_c6)) % 16.09/16.55 (define @t211 () (= @t210 (tptp.multiply @t190 (tptp.multiply @t32 tptp.sk_c6)))) % 16.09/16.55 (define @t212 () (not @t211)) % 16.09/16.55 (define @t213 () (tptp.multiply @t78 @t188)) % 16.09/16.55 (define @t214 () (tptp.multiply @t189 @t78)) % 16.09/16.55 (define @t215 () (tptp.multiply @t214 @t188)) % 16.09/16.55 (define @t216 () (= @t215 (tptp.multiply @t189 @t213))) % 16.09/16.55 (define @t217 () (not @t216)) % 16.09/16.55 (define @t218 () (tptp.multiply @t96 @t78)) % 16.09/16.55 (define @t219 () (= @t218 @t213)) % 16.09/16.55 (define @t220 () (not @t219)) % 16.09/16.55 (define @t221 () (tptp.multiply @t94 @t78)) % 16.09/16.55 (define @t222 () (= @t221 (tptp.multiply tptp.identity @t188))) % 16.09/16.55 (define @t223 () (not @t222)) % 16.09/16.55 (define @t224 () (tptp.multiply tptp.sk_c7 tptp.sk_c3)) % 16.09/16.55 (define @t225 () (tptp.multiply @t78 @t224)) % 16.09/16.55 (define @t226 () (tptp.multiply @t96 tptp.sk_c3)) % 16.09/16.55 (define @t227 () (= @t226 @t225)) % 16.09/16.55 (define @t228 () (not @t227)) % 16.09/16.55 (define @t229 () (= tptp.identity @t214)) % 16.09/16.55 (define @t230 () (not @t229)) % 16.09/16.55 (define @t231 () (= @t78 (tptp.multiply tptp.identity @t78))) % 16.09/16.55 (define @t232 () (not @t231)) % 16.09/16.55 (define @t233 () (= tptp.identity @t209)) % 16.09/16.55 (define @t234 () (not @t233)) % 16.09/16.55 (define @t235 () (tptp.multiply tptp.identity @t32)) % 16.09/16.55 (define @t236 () (= @t32 @t235)) % 16.09/16.55 (define @t237 () (not @t236)) % 16.09/16.55 (define @t238 () (tptp.multiply @t92 @t32)) % 16.09/16.55 (define @t239 () (= @t238 (tptp.multiply tptp.identity @t235))) % 16.09/16.55 (define @t240 () (not @t239)) % 16.09/16.55 (define @t241 () (not @t132)) % 16.09/16.55 (define @t242 () (not @t130)) % 16.09/16.55 (define @t243 () (tptp.multiply @t15 tptp.sk_c3)) % 16.09/16.55 (define @t244 () (= tptp.identity @t243)) % 16.09/16.55 (define @t245 () (not @t244)) % 16.09/16.55 (define @t246 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.09/16.55 (define @t247 () (= tptp.sk_c3 @t246)) % 16.09/16.55 (define @t248 () (not @t247)) % 16.09/16.55 (define @t249 () (= tptp.identity @t205)) % 16.09/16.55 (define @t250 () (not @t249)) % 16.09/16.55 (define @t251 () (not @t126)) % 16.09/16.55 (define @t252 () (not @t125)) % 16.09/16.55 (define @t253 () (not @t184)) % 16.09/16.55 (define @t254 () (not @t124)) % 16.09/16.55 (define @t255 () (= tptp.sk_c6 @t96)) % 16.09/16.55 (define @t256 () (= tptp.sk_c6 @t94)) % 16.09/16.55 (define @t257 () (tptp.multiply @t78 tptp.identity)) % 16.09/16.55 (define @t258 () (tptp.multiply tptp.identity @t246)) % 16.09/16.55 (define @t259 () (tptp.multiply @t92 tptp.sk_c3)) % 16.09/16.55 (define @t260 () (and @t93 @t97 @t255 @t135 @t256 @t95 @t82)) % 16.09/16.55 (define @t261 () (= tptp.sk_c7 @t189)) % 16.09/16.55 (define @t262 () (and @t124 @t93 @t95 @t97 @t247 @t244 @t231 @t229 @t227 @t222 @t219 @t216)) % 16.09/16.55 (define @t263 () (and @t111 @t125 @t126 @t93 @t95 @t99 @t249 @t130 @t132 @t207 @t201 @t198)) % 16.09/16.55 (define @t264 () (and @t111 @t124 @t184 @t125 @t126 @t93 @t95 @t97 @t99 @t249 @t247 @t244 @t130 @t132 @t231 @t229 @t227 @t222 @t219 @t216 @t207 @t201 @t198)) % 16.09/16.55 (define @t265 () (tptp.multiply @t78 @t92)) % 16.09/16.55 (define @t266 () (= (tptp.multiply @t257 tptp.identity) @t265)) % 16.09/16.55 (define @t267 () (= tptp.sk_c7 @t78)) % 16.09/16.55 (define @t268 () (and @t111 @t124 @t184 @t125 @t126 @t93 @t95 @t97 @t99 @t249 @t247 @t244 @t130 @t132 @t231 @t229 @t227 @t266 @t222 @t219 @t216 @t207 @t201 @t198)) % 16.09/16.55 (define @t269 () (not @t266)) % 16.09/16.55 (define @t270 () (not @t261)) % 16.09/16.55 (define @t271 () (not @t255)) % 16.09/16.55 (define @t272 () (or @t271 @t270)) % 16.09/16.55 (define @t273 () (= tptp.sk_c6 @t15)) % 16.09/16.55 (define @t274 () (and @t111 @t124 @t125 @t126 @t93 @t95 @t99 @t249 @t130 @t132 @t207 @t201 @t198)) % 16.09/16.55 (define @t275 () (tptp.multiply @t15 @t17)) % 16.09/16.55 (define @t276 () (= (tptp.multiply @t243 tptp.sk_c6) @t275)) % 16.09/16.55 (define @t277 () (tptp.multiply tptp.sk_c7 tptp.sk_c7)) % 16.09/16.55 (define @t278 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) % 16.09/16.55 (define @t279 () (and @t91 @t111 @t124 @t184 @t125 @t126 @t93 @t95 @t97 @t99 @t249 @t247 @t244 @t130 @t132 @t276 @t231 @t229 @t227 @t266 @t222 @t219 @t216 @t207 @t201 @t198)) % 16.09/16.55 (define @t280 () (not @t278)) % 16.09/16.55 (define @t281 () (not @t273)) % 16.09/16.55 (define @t282 () (or @t281 @t280)) % 16.09/16.55 (define @t283 () (@list true)) % 16.09/16.55 (define @t284 () (@list @t91)) % 16.09/16.55 (define @t285 () (and @t111 @t125 @t126 @t93 @t95 @t97 @t99 @t249 @t130 @t132 @t106 @t207 @t201 @t198)) % 16.09/16.55 (assume @p1 @t4) % 16.09/16.55 (assume @p2 @t6) % 16.09/16.55 (assume @p3 @t9) % 16.09/16.55 (assume @p4 @t14) % 16.09/16.55 (assume @p5 (or @t13 @t16)) % 16.09/16.55 (assume @p6 (or @t13 @t18)) % 16.09/16.55 (assume @p7 @t21) % 16.09/16.55 (assume @p8 @t24) % 16.09/16.55 (assume @p9 @t27) % 16.09/16.55 (assume @p10 @t28) % 16.09/16.55 (assume @p11 @t29) % 16.09/16.55 (assume @p12 @t30) % 16.09/16.55 (assume @p13 @t31) % 16.09/16.55 (assume @p14 @t34) % 16.09/16.55 (assume @p15 @t35) % 16.09/16.55 (assume @p16 @t36) % 16.09/16.55 (assume @p17 @t37) % 16.09/16.55 (assume @p18 @t38) % 16.09/16.55 (assume @p19 (or @t40 @t11)) % 16.09/16.55 (assume @p20 @t41) % 16.09/16.55 (assume @p21 (or @t40 @t18)) % 16.09/16.55 (assume @p22 @t42) % 16.09/16.55 (assume @p23 @t43) % 16.09/16.55 (assume @p24 (or @t45 @t11)) % 16.09/16.55 (assume @p25 @t46) % 16.09/16.55 (assume @p26 (or @t45 @t18)) % 16.09/16.55 (assume @p27 @t47) % 16.09/16.55 (assume @p28 @t48) % 16.09/16.55 (assume @p29 @t73) % 16.09/16.55 (step @p30 :rule eq-symm :args (@t2 @t1)) % 16.09/16.55 (step @p31 :rule cong :premises (@p30) :args (@t4)) % 16.09/16.55 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 16.09/16.55 (step @p33 :rule instantiate :premises (@p32) :args (@t74)) % 16.09/16.55 (step @p34 :rule instantiate :premises (@p32) :args (@t75)) % 16.09/16.55 (step @p35 :rule eq-symm :args (@t5 tptp.identity)) % 16.09/16.55 (step @p36 :rule cong :premises (@p35) :args (@t6)) % 16.09/16.55 (step @p37 :rule eq_resolve :premises (@p2 @p36)) % 16.09/16.55 (step @p38 :rule instantiate :premises (@p37) :args (@t75)) % 16.09/16.55 (step @p39 :rule instantiate :premises (@p32) :args (@t76)) % 16.09/16.55 (step @p40 :rule instantiate :premises (@p37) :args (@t76)) % 16.09/16.55 (step @p41 :rule instantiate :premises (@p32) :args (@t77)) % 16.09/16.55 (step @p42 :rule instantiate :premises (@p37) :args (@t77)) % 16.09/16.55 (step @p43 :rule instantiate :premises (@p3) :args ((@list @t78 tptp.sk_c7 tptp.sk_c6))) % 16.09/16.55 (step @p44 :rule instantiate :premises (@p3) :args ((@list @t79 tptp.sk_c6 tptp.sk_c4))) % 16.09/16.55 (step @p45 :rule instantiate :premises (@p3) :args ((@list @t79 tptp.identity tptp.sk_c6))) % 16.09/16.55 (step @p46 :rule instantiate :premises (@p3) :args ((@list @t80 tptp.sk_c6 tptp.sk_c7))) % 16.09/16.55 (step @p47 :rule cnf_or_pos :args (@t85)) % 16.09/16.55 (step @p48 :rule reordering :premises (@p47) :args ((or @t84 @t82 (not @t85)))) % 16.09/16.55 (assume-push @p2185 @t89) % 16.09/16.55 (step @p50 :rule instantiate :premises (@p2185) :args (@t90)) % 16.09/16.55 (step-pop @p2186 :rule scope :premises (@p50)) % 16.09/16.55 (step @p51 :rule process_scope :premises (@p2186) :args (@t85)) % 16.09/16.55 (step @p53 :rule implies_elim :premises (@p51)) % 16.09/16.55 (step @p54 :rule instantiate :premises (@p37) :args (@t90)) % 16.09/16.55 (step @p55 :rule instantiate :premises (@p3) :args ((@list @t32 tptp.sk_c1 tptp.sk_c7))) % 16.09/16.55 (assume-push @p2187 @t91) % 16.09/16.55 (assume-push @p2188 @t83) % 16.09/16.55 (assume-push @p2189 @t81) % 16.09/16.55 (assume-push @p2190 @t93) % 16.09/16.55 (assume-push @p2191 @t95) % 16.09/16.55 (assume-push @p2192 @t97) % 16.09/16.55 (assume-push @p2193 @t99) % 16.09/16.55 (assume-push @p2194 @t101) % 16.09/16.55 (assume-push @p2195 @t103) % 16.09/16.55 (assume-push @p2196 @t106) % 16.09/16.55 (assume-push @p2197 @t99) % 16.09/16.55 (assume-push @p2198 @t93) % 16.09/16.55 (assume-push @p2199 @t97) % 16.09/16.55 (assume-push @p2200 @t106) % 16.09/16.55 (assume-push @p2201 @t81) % 16.09/16.55 (assume-push @p2202 @t83) % 16.09/16.55 (assume-push @p2203 @t103) % 16.09/16.55 (assume-push @p2204 @t101) % 16.09/16.55 (assume-push @p2205 @t95) % 16.09/16.55 (assume-push @p2206 @t91) % 16.09/16.55 (step @p76 :rule symm :premises (@p34)) % 16.09/16.55 (step @p77 :rule symm :premises (@p39)) % 16.09/16.55 (step @p78 :rule refl :args (tptp.sk_c6)) % 16.09/16.55 (step @p79 :rule symm :premises (@p33)) % 16.09/16.55 (step @p80 :rule cong :premises (@p79 @p78) :args (@t107)) % 16.09/16.55 (step @p81 :rule cong :premises (@p33 @p77) :args (@t108)) % 16.09/16.55 (step @p82 :rule symm :premises (@p38)) % 16.09/16.55 (step @p83 :rule cong :premises (@p82 @p39) :args (@t105)) % 16.09/16.55 (step @p84 :rule symm :premises (@p43)) % 16.09/16.55 (step @p85 :rule symm :premises (@p2188)) % 16.09/16.55 (step @p86 :rule symm :premises (@p2189)) % 16.09/16.55 (step @p87 :rule cong :premises (@p86 @p85) :args (@t102)) % 16.09/16.55 (step @p88 :rule cong :premises (@p54 @p76) :args (@t109)) % 16.09/16.55 (step @p89 :rule cong :premises (@p79 @p34) :args (@t110)) % 16.09/16.55 (step @p90 :rule refl :args (tptp.sk_c7)) % 16.09/16.55 (step @p91 :rule cong :premises (@p33 @p90) :args (@t94)) % 16.09/16.55 (step @p92 :rule trans :premises (@p34 @p91 @p89 @p88 @p55 @p87)) % 16.09/16.55 (step @p93 :rule refl :args (@t78)) % 16.09/16.55 (step @p94 :rule cong :premises (@p93 @p92) :args (@t96)) % 16.09/16.55 (step @p95 :rule trans :premises (@p38 @p94 @p84 @p83 @p81 @p80 @p77)) % 16.09/16.55 (step @p96 :rule cong :premises (@p95 @p76) :args (@t109)) % 16.09/16.55 (step @p97 :rule symm :premises (@p88)) % 16.09/16.55 (step @p98 :rule symm :premises (@p55)) % 16.09/16.55 (step @p99 :rule symm :premises (@p87)) % 16.09/16.55 (step @p100 :rule trans :premises (@p2187 @p99 @p98 @p97 @p96)) % 16.09/16.55 (step-pop @p2207 :rule scope :premises (@p100)) % 16.09/16.55 (step-pop @p2208 :rule scope :premises (@p2207)) % 16.09/16.55 (step-pop @p2209 :rule scope :premises (@p2208)) % 16.09/16.55 (step-pop @p2210 :rule scope :premises (@p2209)) % 16.09/16.55 (step-pop @p2211 :rule scope :premises (@p2210)) % 16.09/16.55 (step-pop @p2212 :rule scope :premises (@p2211)) % 16.09/16.55 (step-pop @p2213 :rule scope :premises (@p2212)) % 16.09/16.55 (step-pop @p2214 :rule scope :premises (@p2213)) % 16.09/16.55 (step-pop @p2215 :rule scope :premises (@p2214)) % 16.09/16.55 (step-pop @p2216 :rule scope :premises (@p2215)) % 16.09/16.55 (step @p101 :rule process_scope :premises (@p2216) :args (@t111)) % 16.09/16.55 (step @p112 :rule and_intro :premises (@p39 @p33 @p38 @p43 @p2189 @p2188 @p55 @p54 @p34 @p2187)) % 16.09/16.55 (step @p113 :rule modus_ponens :premises (@p112 @p101)) % 16.09/16.55 (step-pop @p2217 :rule scope :premises (@p113)) % 16.09/16.55 (step-pop @p2218 :rule scope :premises (@p2217)) % 16.09/16.55 (step-pop @p2219 :rule scope :premises (@p2218)) % 16.09/16.55 (step-pop @p2220 :rule scope :premises (@p2219)) % 16.09/16.55 (step-pop @p2221 :rule scope :premises (@p2220)) % 16.09/16.55 (step-pop @p2222 :rule scope :premises (@p2221)) % 16.09/16.55 (step-pop @p2223 :rule scope :premises (@p2222)) % 16.09/16.55 (step-pop @p2224 :rule scope :premises (@p2223)) % 16.09/16.55 (step-pop @p2225 :rule scope :premises (@p2224)) % 16.09/16.55 (step-pop @p2226 :rule scope :premises (@p2225)) % 16.09/16.55 (step @p114 :rule process_scope :premises (@p2226) :args (@t111)) % 16.09/16.55 (step @p125 :rule implies_elim :premises (@p114)) % 16.09/16.55 (step @p126 :rule cnf_and_neg :args (@t112)) % 16.09/16.55 (step @p127 :rule resolution :premises (@p126 @p125) :args (true @t112)) % 16.09/16.55 (step @p128 :rule reordering :premises (@p127) :args ((or @t111 @t120 @t84 @t82 @t119 @t118 @t117 @t116 @t115 @t114 @t113))) % 16.09/16.55 (assume-push @p2227 @t9) % 16.09/16.55 (step-pop @p2228 :rule scope :premises (@p43)) % 16.09/16.55 (step @p130 :rule process_scope :premises (@p2228) :args (@t106)) % 16.09/16.55 (step @p132 :rule implies_elim :premises (@p130)) % 16.09/16.55 (assume-push @p2229 @t9) % 16.09/16.55 (step-pop @p2230 :rule scope :premises (@p55)) % 16.09/16.55 (step @p134 :rule process_scope :premises (@p2230) :args (@t103)) % 16.09/16.55 (step @p136 :rule implies_elim :premises (@p134)) % 16.09/16.55 (assume-push @p2231 @t121) % 16.09/16.55 (step-pop @p2232 :rule scope :premises (@p54)) % 16.09/16.55 (step @p138 :rule process_scope :premises (@p2232) :args (@t101)) % 16.09/16.55 (step @p140 :rule implies_elim :premises (@p138)) % 16.09/16.55 (assume-push @p2233 @t122) % 16.09/16.55 (step-pop @p2234 :rule scope :premises (@p39)) % 16.09/16.55 (step @p142 :rule process_scope :premises (@p2234) :args (@t99)) % 16.09/16.55 (step @p144 :rule implies_elim :premises (@p142)) % 16.09/16.55 (assume-push @p2235 @t121) % 16.09/16.55 (step-pop @p2236 :rule scope :premises (@p38)) % 16.09/16.55 (step @p146 :rule process_scope :premises (@p2236) :args (@t97)) % 16.09/16.55 (step @p148 :rule implies_elim :premises (@p146)) % 16.09/16.55 (assume-push @p2237 @t122) % 16.09/16.55 (step-pop @p2238 :rule scope :premises (@p34)) % 16.09/16.55 (step @p150 :rule process_scope :premises (@p2238) :args (@t95)) % 16.09/16.55 (step @p152 :rule implies_elim :premises (@p150)) % 16.09/16.55 (assume-push @p2239 @t122) % 16.09/16.55 (step-pop @p2240 :rule scope :premises (@p33)) % 16.09/16.55 (step @p154 :rule process_scope :premises (@p2240) :args (@t93)) % 16.09/16.55 (step @p156 :rule implies_elim :premises (@p154)) % 16.09/16.55 (step @p157 :rule eq-symm :args (@t15 tptp.sk_c7)) % 16.09/16.55 (step @p158 :rule eq-symm :args (@t44 tptp.sk_c6)) % 16.09/16.55 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t46)) % 16.09/16.55 (step @p160 :rule eq_resolve :premises (@p25 @p159)) % 16.09/16.55 (step @p161 :rule reordering :premises (@p160) :args ((or @t124 @t123))) % 16.09/16.55 (step @p162 :rule eq-symm :args (@t19 tptp.sk_c6)) % 16.09/16.55 (step @p163 :rule nary_cong :premises (@p158 @p162) :args (@t47)) % 16.09/16.55 (step @p164 :rule eq_resolve :premises (@p27 @p163)) % 16.09/16.55 (step @p165 :rule reordering :premises (@p164) :args ((or @t125 @t123))) % 16.09/16.55 (step @p166 :rule eq-symm :args (@t22 tptp.sk_c6)) % 16.09/16.55 (step @p167 :rule nary_cong :premises (@p158 @p166) :args (@t48)) % 16.09/16.55 (step @p168 :rule eq_resolve :premises (@p28 @p167)) % 16.09/16.55 (step @p169 :rule reordering :premises (@p168) :args ((or @t126 @t123))) % 16.09/16.55 (assume-push @p2241 @t91) % 16.09/16.55 (assume-push @p2242 @t83) % 16.09/16.55 (assume-push @p2243 @t81) % 16.09/16.55 (assume-push @p2244 @t93) % 16.09/16.55 (assume-push @p2245 @t95) % 16.09/16.55 (assume-push @p2246 @t101) % 16.09/16.55 (assume-push @p2247 @t103) % 16.09/16.55 (assume-push @p2248 @t91) % 16.09/16.55 (assume-push @p2249 @t81) % 16.09/16.55 (assume-push @p2250 @t83) % 16.09/16.55 (assume-push @p2251 @t103) % 16.09/16.55 (assume-push @p2252 @t101) % 16.09/16.55 (assume-push @p2253 @t95) % 16.09/16.55 (assume-push @p2254 @t93) % 16.09/16.55 (step @p184 :rule symm :premises (@p2241)) % 16.09/16.55 (step @p185 :rule symm :premises (@p2242)) % 16.09/16.55 (step @p186 :rule symm :premises (@p2243)) % 16.09/16.55 (step @p187 :rule cong :premises (@p186 @p185) :args (@t102)) % 16.09/16.55 (step @p76 :rule symm :premises (@p34)) % 16.09/16.55 (step @p88 :rule cong :premises (@p54 @p76) :args (@t109)) % 16.09/16.55 (step @p79 :rule symm :premises (@p33)) % 16.09/16.55 (step @p89 :rule cong :premises (@p79 @p34) :args (@t110)) % 16.09/16.55 (step @p90 :rule refl :args (tptp.sk_c7)) % 16.09/16.55 (step @p91 :rule cong :premises (@p33 @p90) :args (@t94)) % 16.09/16.55 (step @p188 :rule trans :premises (@p34 @p91 @p89 @p88 @p55 @p187 @p184)) % 16.09/16.55 (step @p189 :rule refl :args (tptp.sk_c1)) % 16.09/16.55 (step @p190 :rule cong :premises (@p189 @p188) :args (@t25)) % 16.09/16.55 (step @p191 :rule trans :premises (@p2242 @p190)) % 16.09/16.55 (step-pop @p2255 :rule scope :premises (@p191)) % 16.09/16.55 (step-pop @p2256 :rule scope :premises (@p2255)) % 16.09/16.55 (step-pop @p2257 :rule scope :premises (@p2256)) % 16.09/16.55 (step-pop @p2258 :rule scope :premises (@p2257)) % 16.09/16.55 (step-pop @p2259 :rule scope :premises (@p2258)) % 16.09/16.55 (step-pop @p2260 :rule scope :premises (@p2259)) % 16.09/16.55 (step-pop @p2261 :rule scope :premises (@p2260)) % 16.09/16.55 (step @p192 :rule process_scope :premises (@p2261) :args (@t127)) % 16.09/16.55 (step @p200 :rule and_intro :premises (@p2241 @p2243 @p2242 @p55 @p54 @p34 @p33)) % 16.09/16.55 (step @p201 :rule modus_ponens :premises (@p200 @p192)) % 16.09/16.55 (step-pop @p2262 :rule scope :premises (@p201)) % 16.09/16.55 (step-pop @p2263 :rule scope :premises (@p2262)) % 16.09/16.55 (step-pop @p2264 :rule scope :premises (@p2263)) % 16.09/16.55 (step-pop @p2265 :rule scope :premises (@p2264)) % 16.09/16.55 (step-pop @p2266 :rule scope :premises (@p2265)) % 16.09/16.55 (step-pop @p2267 :rule scope :premises (@p2266)) % 16.09/16.55 (step-pop @p2268 :rule scope :premises (@p2267)) % 16.09/16.55 (step @p202 :rule process_scope :premises (@p2268) :args (@t127)) % 16.09/16.55 (step @p210 :rule implies_elim :premises (@p202)) % 16.09/16.55 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(step-pop @p2622 :rule scope :premises (@p2621)) % 16.09/16.56 (step-pop @p2623 :rule scope :premises (@p2622)) % 16.09/16.56 (step-pop @p2624 :rule scope :premises (@p2623)) % 16.09/16.56 (step-pop @p2625 :rule scope :premises (@p2624)) % 16.09/16.56 (step-pop @p2626 :rule scope :premises (@p2625)) % 16.09/16.56 (step-pop @p2627 :rule scope :premises (@p2626)) % 16.09/16.56 (step-pop @p2628 :rule scope :premises (@p2627)) % 16.09/16.56 (step-pop @p2629 :rule scope :premises (@p2628)) % 16.09/16.56 (step-pop @p2630 :rule scope :premises (@p2629)) % 16.09/16.56 (step @p735 :rule process_scope :premises (@p2630) :args (@t137)) % 16.09/16.56 (step @p751 :rule implies_elim :premises (@p735)) % 16.09/16.56 (step @p752 :rule resolution :premises (@p671 @p751) :args (true @t177)) % 16.09/16.56 (step @p753 :rule reordering :premises (@p752) :args ((or @t120 @t84 @t82 @t167 @t165 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t137 @t180 @t179 @t178))) % 16.09/16.56 (assume-push @p2631 @t91) % 16.09/16.56 (assume-push @p2632 @t83) % 16.09/16.56 (assume-push @p2633 @t81) % 16.09/16.56 (assume-push @p2634 @t166) % 16.09/16.56 (assume-push @p2635 @t123) % 16.09/16.56 (assume-push @p2636 @t93) % 16.09/16.56 (assume-push @p2637 @t95) % 16.09/16.56 (assume-push @p2638 @t97) % 16.09/16.56 (assume-push @p2639 @t99) % 16.09/16.56 (assume-push @p2640 @t101) % 16.09/16.56 (assume-push @p2641 @t103) % 16.09/16.56 (assume-push @p2642 @t106) % 16.09/16.56 (assume-push @p2643 @t173) % 16.09/16.56 (assume-push @p2644 @t174) % 16.09/16.56 (assume-push @p2645 @t176) % 16.09/16.56 (assume-push @p2646 @t81) % 16.09/16.56 (assume-push @p2647 @t95) % 16.09/16.56 (assume-push @p2648 @t93) % 16.09/16.56 (assume-push @p2649 @t101) % 16.09/16.56 (assume-push @p2650 @t103) % 16.09/16.56 (assume-push @p2651 @t83) % 16.09/16.56 (assume-push @p2652 @t91) % 16.09/16.56 (assume-push @p2653 @t166) % 16.09/16.56 (assume-push @p2654 @t174) % 16.09/16.56 (assume-push @p2655 @t173) % 16.09/16.56 (assume-push @p2656 @t97) % 16.09/16.56 (assume-push @p2657 @t106) % 16.09/16.56 (assume-push @p2658 @t99) % 16.09/16.56 (assume-push @p2659 @t123) % 16.09/16.56 (assume-push @p2660 @t176) % 16.09/16.56 (step @p76 :rule symm :premises (@p34)) % 16.09/16.56 (step @p90 :rule refl :args (tptp.sk_c7)) % 16.09/16.56 (step @p79 :rule symm :premises (@p33)) % 16.09/16.56 (step @p241 :rule cong :premises (@p79 @p90) :args (@t110)) % 16.09/16.56 (step @p242 :rule cong :premises (@p33 @p76) :args (@t109)) % 16.09/16.56 (step @p88 :rule cong :premises (@p54 @p76) :args (@t109)) % 16.09/16.56 (step @p97 :rule symm :premises (@p88)) % 16.09/16.56 (step @p98 :rule symm :premises (@p55)) % 16.09/16.56 (step @p784 :rule cong :premises (@p2633 @p2632) :args (@t12)) % 16.09/16.56 (step @p785 :rule symm :premises (@p2634)) % 16.09/16.56 (step @p77 :rule symm :premises (@p39)) % 16.09/16.56 (step @p78 :rule refl :args (tptp.sk_c6)) % 16.09/16.56 (step @p80 :rule cong :premises (@p79 @p78) :args (@t107)) % 16.09/16.56 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false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t282 @t278 @t198 @t201 @t207 @t216 @t219 @t222 @t266 @t227 @t229 @t231 @t276 @t132 @t130 @t244 @t247 @t249 @t99 @t97 @t95 @t93 @t273 @t198 @t201 @t207 @t132 @t130 @t249 @t99 @t95 @t93 @t149 @t157 @t89 @t153 @t164 @t272 @t145 @t139 @t198 @t201 @t207 @t216 @t219 @t222 @t266 @t227 @t229 @t231 @t132 @t130 @t244 @t247 @t249 @t99 @t97 @t95 @t93 @t161 @t198 @t201 @t207 @t216 @t219 @t222 @t266 @t227 @t229 @t231 @t132 @t130 @t244 @t247 @t249 @t99 @t97 @t95 @t93 @t255 @t198 @t201 @t207 @t216 @t219 @t222 @t227 @t229 @t231 @t132 @t130 @t244 @t247 @t249 @t99 @t97 @t95 @t93 @t137 @t198 @t201 @t207 @t132 @t130 @t249 @t99 @t95 @t93 @t261 @t216 @t219 @t222 @t227 @t229 @t231 @t244 @t247 @t97 @t95 @t93 @t126 @t125 @t184 @t124 @t111 @t83))) % 16.09/16.56 (step @p2093 :rule nary_cong :premises (@p479 @p469) :args (@t14)) % 16.09/16.56 (step @p2094 :rule eq_resolve :premises (@p4 @p2093)) % 16.09/16.56 (step @p2095 :rule chain_m_resolution :premises (@p2094 @p2092) :args (@t111 @t283 @t284)) % 16.09/16.56 (step @p2096 :rule nary_cong :premises (@p479 @p162) :args (@t21)) % 16.09/16.56 (step @p2097 :rule eq_resolve :premises (@p7 @p2096)) % 16.09/16.56 (step @p2098 :rule chain_m_resolution :premises (@p2097 @p2092) :args (@t125 @t283 @t284)) % 16.09/16.56 (step @p2099 :rule nary_cong :premises (@p479 @p166) :args (@t24)) % 16.09/16.56 (step @p2100 :rule eq_resolve :premises (@p8 @p2099)) % 16.09/16.56 (step @p2101 :rule chain_m_resolution :premises (@p2100 @p2092) :args (@t126 @t283 @t284)) % 16.09/16.56 (assume-push @p3541 @t111) % 16.09/16.56 (assume-push @p3542 @t125) % 16.09/16.56 (assume-push @p3543 @t126) % 16.09/16.56 (assume-push @p3544 @t93) % 16.09/16.56 (assume-push @p3545 @t95) % 16.09/16.56 (assume-push @p3546 @t97) % 16.09/16.56 (assume-push @p3547 @t99) % 16.09/16.56 (assume-push @p3548 @t249) % 16.09/16.56 (assume-push @p3549 @t130) % 16.09/16.56 (assume-push @p3550 @t132) % 16.09/16.56 (assume-push @p3551 @t106) % 16.09/16.56 (assume-push @p3552 @t207) % 16.09/16.56 (assume-push @p3553 @t201) % 16.09/16.56 (assume-push @p3554 @t198) % 16.09/16.56 (assume-push @p3555 @t126) % 16.09/16.56 (assume-push @p3556 @t130) % 16.09/16.56 (assume-push @p3557 @t93) % 16.09/16.56 (assume-push @p3558 @t249) % 16.09/16.56 (assume-push @p3559 @t207) % 16.09/16.56 (assume-push @p3560 @t125) % 16.09/16.56 (assume-push @p3561 @t132) % 16.09/16.56 (assume-push @p3562 @t111) % 16.09/16.56 (assume-push @p3563 @t198) % 16.09/16.56 (assume-push @p3564 @t201) % 16.09/16.56 (assume-push @p3565 @t99) % 16.09/16.56 (assume-push @p3566 @t95) % 16.09/16.56 (assume-push @p3567 @t97) % 16.09/16.56 (assume-push @p3568 @t106) % 16.09/16.56 (step @p2130 :rule symm :premises (@p3543)) % 16.09/16.56 (step @p2131 :rule symm :premises (@p3541)) % 16.09/16.56 (step @p246 :rule symm :premises (@p41)) % 16.09/16.56 (step @p253 :rule refl :args (tptp.sk_c4)) % 16.09/16.56 (step @p79 :rule symm :premises (@p33)) % 16.09/16.56 (step @p1985 :rule cong :premises (@p79 @p253) :args (@t134)) % 16.09/16.56 (step @p1986 :rule cong :premises (@p33 @p246) :args (@t133)) % 16.09/16.56 (step @p1078 :rule symm :premises (@p40)) % 16.09/16.56 (step @p1987 :rule cong :premises (@p1078 @p41) :args (@t206)) % 16.09/16.56 (step @p1988 :rule symm :premises (@p44)) % 16.09/16.56 (step @p2132 :rule symm :premises (@p3542)) % 16.09/16.56 (step @p2133 :rule cong :premises (@p2132 @p253) :args (@t131)) % 16.09/16.56 (step @p2134 :rule trans :premises (@p42 @p2133)) % 16.09/16.56 (step @p1079 :rule refl :args (@t79)) % 16.09/16.56 (step @p2135 :rule cong :premises (@p1079 @p2134) :args (@t80)) % 16.09/16.56 (step @p2136 :rule trans :premises (@p2135 @p1988 @p1987 @p1986 @p1985 @p246)) % 16.09/16.56 (step @p2137 :rule cong :premises (@p2136 @p2131) :args (@t195)) % 16.09/16.56 (step @p76 :rule symm :premises (@p34)) % 16.09/16.56 (step @p1995 :rule symm :premises (@p45)) % 16.09/16.56 (step @p1996 :rule cong :premises (@p1079 @p39) :args (@t205)) % 16.09/16.56 (step @p1997 :rule trans :premises (@p40 @p1996 @p1995)) % 16.09/16.56 (step @p1998 :rule cong :premises (@p1997 @p76) :args (@t109)) % 16.09/16.56 (step @p89 :rule cong :premises (@p79 @p34) :args (@t110)) % 16.09/16.56 (step @p90 :rule refl :args (tptp.sk_c7)) % 16.09/16.56 (step @p91 :rule cong :premises (@p33 @p90) :args (@t94)) % 16.09/16.56 (step @p2138 :rule trans :premises (@p34 @p91 @p89 @p1998 @p46 @p2137 @p2130)) % 16.09/16.56 (step @p2139 :rule cong :premises (@p90 @p2138) :args (@t277)) % 16.09/16.56 (step @p241 :rule cong :premises (@p79 @p90) :args (@t110)) % 16.09/16.56 (step @p242 :rule cong :premises (@p33 @p76) :args (@t109)) % 16.09/16.56 (step @p77 :rule symm :premises (@p39)) % 16.09/16.56 (step @p1080 :rule cong :premises (@p1079 @p77) :args (@t200)) % 16.09/16.56 (step @p1081 :rule trans :premises (@p45 @p1080 @p1078)) % 16.09/16.56 (step @p1082 :rule cong :premises (@p1081 @p34) :args (@t197)) % 16.09/16.56 (step @p1083 :rule symm :premises (@p46)) % 16.09/16.56 (step @p2140 :rule symm :premises (@p2137)) % 16.09/16.56 (step @p2141 :rule trans :premises (@p2132 @p3543 @p2140 @p1083 @p1082 @p242 @p241 @p76)) % 16.09/16.56 (step @p78 :rule refl :args (tptp.sk_c6)) % 16.09/16.56 (step @p80 :rule cong :premises (@p79 @p78) :args (@t107)) % 16.09/16.56 (step @p81 :rule cong :premises (@p33 @p77) :args (@t108)) % 16.09/16.56 (step @p82 :rule symm :premises (@p38)) % 16.09/16.56 (step @p83 :rule cong :premises (@p82 @p39) :args (@t105)) % 16.09/16.56 (step @p84 :rule symm :premises (@p43)) % 16.09/16.56 (step @p2142 :rule trans :premises (@p84 @p83 @p81 @p80 @p77)) % 16.09/16.56 (step @p2143 :rule trans :premises (@p2142 @p3542 @p2141)) % 16.09/16.56 (step @p2144 :rule cong :premises (@p2143 @p90) :args ((tptp.multiply @t104 tptp.sk_c7))) % 16.09/16.56 (step @p2145 :rule symm :premises (@p2142)) % 16.09/16.56 (step @p2146 :rule cong :premises (@p2145 @p90) :args (@t10)) % 16.09/16.56 (step @p2147 :rule trans :premises (@p3541 @p2146 @p2144 @p2139)) % 16.09/16.56 (step-pop @p3569 :rule scope :premises (@p2147)) % 16.09/16.56 (step-pop @p3570 :rule scope :premises (@p3569)) % 16.09/16.56 (step-pop @p3571 :rule scope :premises (@p3570)) % 16.09/16.56 (step-pop @p3572 :rule scope :premises (@p3571)) % 16.09/16.56 (step-pop @p3573 :rule scope :premises (@p3572)) % 16.09/16.56 (step-pop @p3574 :rule scope :premises (@p3573)) % 16.09/16.56 (step-pop @p3575 :rule scope :premises (@p3574)) % 16.09/16.56 (step-pop @p3576 :rule scope :premises (@p3575)) % 16.09/16.56 (step-pop @p3577 :rule scope :premises (@p3576)) % 16.09/16.56 (step-pop @p3578 :rule scope :premises (@p3577)) % 16.09/16.56 (step-pop @p3579 :rule scope :premises (@p3578)) % 16.09/16.56 (step-pop @p3580 :rule scope :premises (@p3579)) % 16.09/16.56 (step-pop @p3581 :rule scope :premises (@p3580)) % 16.09/16.56 (step-pop @p3582 :rule scope :premises (@p3581)) % 16.09/16.56 (step @p2148 :rule process_scope :premises (@p3582) :args (@t91)) % 16.09/16.56 (step @p2163 :rule and_intro :premises (@p3543 @p41 @p33 @p40 @p44 @p3542 @p42 @p3541 @p46 @p45 @p39 @p34 @p38 @p43)) % 16.09/16.56 (step @p2164 :rule modus_ponens :premises (@p2163 @p2148)) % 16.09/16.56 (step-pop @p3583 :rule scope :premises (@p2164)) % 16.09/16.56 (step-pop @p3584 :rule scope :premises (@p3583)) % 16.09/16.56 (step-pop @p3585 :rule scope :premises (@p3584)) % 16.09/16.56 (step-pop @p3586 :rule scope :premises (@p3585)) % 16.09/16.56 (step-pop @p3587 :rule scope :premises (@p3586)) % 16.09/16.56 (step-pop @p3588 :rule scope :premises (@p3587)) % 16.09/16.56 (step-pop @p3589 :rule scope :premises (@p3588)) % 16.09/16.56 (step-pop @p3590 :rule scope :premises (@p3589)) % 16.09/16.56 (step-pop @p3591 :rule scope :premises (@p3590)) % 16.09/16.56 (step-pop @p3592 :rule scope :premises (@p3591)) % 16.09/16.56 (step-pop @p3593 :rule scope :premises (@p3592)) % 16.09/16.56 (step-pop @p3594 :rule scope :premises (@p3593)) % 16.09/16.56 (step-pop @p3595 :rule scope :premises (@p3594)) % 16.09/16.56 (step-pop @p3596 :rule scope :premises (@p3595)) % 16.09/16.56 (step @p2165 :rule process_scope :premises (@p3596) :args (@t91)) % 16.09/16.56 (step @p2180 :rule implies_elim :premises (@p2165)) % 16.09/16.56 (step @p2181 :rule cnf_and_neg :args (@t285)) % 16.09/16.56 (step @p2182 :rule resolution :premises (@p2181 @p2180) :args (true @t285)) % 16.09/16.56 (step @p2183 :rule reordering :premises (@p2182) :args ((or @t91 @t158 @t252 @t251 @t119 @t118 @t117 @t116 @t250 @t242 @t241 @t113 @t208 @t202 @t199))) % 16.09/16.56 (step @p2184 false :rule chain_m_resolution :premises (@p2183 @p2101 @p2098 @p2095 @p2092 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p34 @p33) :args (false (@list false false false true false false false false false false false false false false false) (@list @t126 @t125 @t111 @t91 @t198 @t201 @t207 @t106 @t132 @t130 @t249 @t99 @t97 @t95 @t93))) % 16.09/16.56 ) % 16.09/16.56 % SZS output end Proof % 16.09/16.56 % cvc5 exiting %------------------------------------------------------------------------------