%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP245-1 : 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 : n026.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 08:20:18 AM UTC 2026 % Result : Unsatisfiable 16.04s 16.37s % Output : Proof 16.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP245-1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n026.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 01:00:40 EDT 2026 % 0.18/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/16.21 --- Run --no-e-matching --full-saturate-quant at 6... % 16.04/16.37 % SZS status Unsatisfiable % 16.04/16.37 % SZS output start Proof % 16.04/16.39 ( % 16.04/16.39 (declare-sort $$unsorted 0) % 16.04/16.39 (declare-const tptp.sk_c3 $$unsorted) % 16.04/16.39 (declare-const tptp.sk_c6 $$unsorted) % 16.04/16.39 (declare-const tptp.sk_c1 $$unsorted) % 16.04/16.39 (declare-const tptp.sk_c9 $$unsorted) % 16.04/16.39 (declare-const tptp.sk_c8 $$unsorted) % 16.04/16.39 (declare-const tptp.sk_c4 $$unsorted) % 16.04/16.39 (declare-const tptp.sk_c2 $$unsorted) % 16.04/16.39 (declare-const tptp.sk_c10 $$unsorted) % 16.04/16.39 (declare-const tptp.sk_c5 $$unsorted) % 16.04/16.39 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.04/16.39 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.04/16.39 (declare-const tptp.sk_c7 $$unsorted) % 16.04/16.39 (declare-const tptp.identity $$unsorted) % 16.04/16.39 (define @t1 () (@var "X" $$unsorted)) % 16.04/16.39 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.04/16.39 (define @t3 () (@list @t1)) % 16.04/16.39 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.04/16.39 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.04/16.39 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.04/16.39 (define @t7 () (@var "Z" $$unsorted)) % 16.04/16.39 (define @t8 () (@var "Y" $$unsorted)) % 16.04/16.39 (define @t9 () (tptp.inverse tptp.sk_c4)) % 16.04/16.39 (define @t10 () (= @t9 tptp.sk_c10)) % 16.04/16.39 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c10)) % 16.04/16.39 (define @t12 () (= @t11 tptp.sk_c9)) % 16.04/16.39 (define @t13 () (or @t12 @t10)) % 16.04/16.39 (define @t14 () (tptp.multiply tptp.sk_c4 tptp.sk_c9)) % 16.04/16.39 (define @t15 () (= @t14 tptp.sk_c10)) % 16.04/16.39 (define @t16 () (tptp.inverse tptp.sk_c5)) % 16.04/16.39 (define @t17 () (= @t16 tptp.sk_c9)) % 16.04/16.39 (define @t18 () (or @t12 @t17)) % 16.04/16.39 (define @t19 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 16.04/16.39 (define @t20 () (= @t19 tptp.sk_c9)) % 16.04/16.39 (define @t21 () (or @t12 @t20)) % 16.04/16.39 (define @t22 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 16.04/16.39 (define @t23 () (= @t22 tptp.sk_c9)) % 16.04/16.39 (define @t24 () (or @t12 @t23)) % 16.04/16.39 (define @t25 () (tptp.inverse tptp.sk_c6)) % 16.04/16.39 (define @t26 () (= @t25 tptp.sk_c7)) % 16.04/16.39 (define @t27 () (or @t12 @t26)) % 16.04/16.39 (define @t28 () (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c9)) % 16.04/16.39 (define @t29 () (tptp.inverse tptp.sk_c1)) % 16.04/16.39 (define @t30 () (= @t29 tptp.sk_c10)) % 16.04/16.39 (define @t31 () (or @t30 @t10)) % 16.04/16.39 (define @t32 () (or @t30 @t17)) % 16.04/16.39 (define @t33 () (or @t30 @t20)) % 16.04/16.39 (define @t34 () (or @t30 @t23)) % 16.04/16.39 (define @t35 () (or @t30 @t26)) % 16.04/16.39 (define @t36 () (tptp.multiply tptp.sk_c2 tptp.sk_c9)) % 16.04/16.39 (define @t37 () (= @t36 tptp.sk_c8)) % 16.04/16.39 (define @t38 () (or @t37 @t17)) % 16.04/16.39 (define @t39 () (or @t37 @t20)) % 16.04/16.39 (define @t40 () (tptp.inverse tptp.sk_c2)) % 16.04/16.39 (define @t41 () (= @t40 tptp.sk_c9)) % 16.04/16.39 (define @t42 () (or @t41 @t17)) % 16.04/16.39 (define @t43 () (or @t41 @t20)) % 16.04/16.39 (define @t44 () (tptp.inverse tptp.sk_c3)) % 16.04/16.39 (define @t45 () (= @t44 tptp.sk_c10)) % 16.04/16.39 (define @t46 () (or @t45 @t10)) % 16.04/16.39 (define @t47 () (or @t45 @t15)) % 16.04/16.39 (define @t48 () (tptp.multiply tptp.sk_c3 tptp.sk_c9)) % 16.04/16.39 (define @t49 () (= @t48 tptp.sk_c10)) % 16.04/16.39 (define @t50 () (or @t49 @t10)) % 16.04/16.39 (define @t51 () (or @t49 @t15)) % 16.04/16.39 (define @t52 () (@var "X3" $$unsorted)) % 16.04/16.39 (define @t53 () (tptp.multiply @t52 tptp.sk_c8)) % 16.04/16.39 (define @t54 () (not (= @t53 tptp.sk_c9))) % 16.04/16.39 (define @t55 () (@var "X7" $$unsorted)) % 16.04/16.39 (define @t56 () (tptp.inverse @t55)) % 16.04/16.39 (define @t57 () (not (= @t56 @t52))) % 16.04/16.39 (define @t58 () (tptp.multiply @t55 @t52)) % 16.04/16.39 (define @t59 () (not (= @t58 tptp.sk_c9))) % 16.04/16.39 (define @t60 () (@var "X2" $$unsorted)) % 16.04/16.39 (define @t61 () (tptp.multiply @t60 tptp.sk_c8)) % 16.04/16.39 (define @t62 () (not (= @t61 tptp.sk_c9))) % 16.04/16.39 (define @t63 () (tptp.inverse @t60)) % 16.04/16.39 (define @t64 () (not (= @t63 tptp.sk_c9))) % 16.04/16.39 (define @t65 () (@var "X1" $$unsorted)) % 16.04/16.39 (define @t66 () (tptp.multiply @t65 tptp.sk_c9)) % 16.04/16.39 (define @t67 () (not (= @t66 tptp.sk_c10))) % 16.04/16.39 (define @t68 () (tptp.inverse @t65)) % 16.04/16.39 (define @t69 () (not (= @t68 tptp.sk_c10))) % 16.04/16.39 (define @t70 () (@var "X6" $$unsorted)) % 16.04/16.39 (define @t71 () (tptp.multiply @t70 tptp.sk_c9)) % 16.04/16.39 (define @t72 () (not (= @t71 tptp.sk_c10))) % 16.04/16.39 (define @t73 () (tptp.inverse @t70)) % 16.04/16.39 (define @t74 () (not (= @t73 tptp.sk_c10))) % 16.04/16.39 (define @t75 () (@var "X5" $$unsorted)) % 16.04/16.39 (define @t76 () (tptp.inverse @t75)) % 16.04/16.39 (define @t77 () (not (= @t76 tptp.sk_c9))) % 16.04/16.39 (define @t78 () (tptp.multiply @t75 tptp.sk_c9)) % 16.04/16.39 (define @t79 () (not (= @t78 tptp.sk_c8))) % 16.04/16.39 (define @t80 () (@var "X4" $$unsorted)) % 16.04/16.39 (define @t81 () (tptp.inverse @t80)) % 16.04/16.39 (define @t82 () (not (= @t81 tptp.sk_c10))) % 16.04/16.39 (define @t83 () (tptp.multiply @t80 tptp.sk_c10)) % 16.04/16.39 (define @t84 () (not (= @t83 tptp.sk_c9))) % 16.04/16.39 (define @t85 () (or @t84 @t82 @t79 @t77 @t74 @t72 @t69 @t67 @t64 @t62 @t59 @t57 @t54)) % 16.04/16.39 (define @t86 () (@list @t80 @t75 @t70 @t65 @t60 @t55 @t52)) % 16.04/16.39 (define @t87 () (forall @t86 @t85)) % 16.04/16.39 (define @t88 () (= tptp.sk_c10 @t29)) % 16.04/16.39 (define @t89 () (= tptp.sk_c10 @t9)) % 16.04/16.39 (define @t90 () (= tptp.sk_c9 @t16)) % 16.04/16.39 (define @t91 () (= tptp.sk_c9 @t19)) % 16.04/16.39 (define @t92 () (= tptp.sk_c9 @t22)) % 16.04/16.39 (define @t93 () (= tptp.sk_c7 @t25)) % 16.04/16.39 (define @t94 () (not @t91)) % 16.04/16.39 (define @t95 () (not @t90)) % 16.04/16.39 (define @t96 () (or @t95 @t94)) % 16.04/16.39 (define @t97 () (not @t96)) % 16.04/16.39 (define @t98 () (not (= tptp.sk_c9 @t61))) % 16.04/16.39 (define @t99 () (not (= tptp.sk_c9 @t63))) % 16.04/16.39 (define @t100 () (or @t99 @t98)) % 16.04/16.39 (define @t101 () (forall (@list @t60) @t100)) % 16.04/16.39 (define @t102 () (@list tptp.sk_c5)) % 16.04/16.39 (define @t103 () (@list tptp.sk_c10)) % 16.04/16.39 (define @t104 () (@list tptp.sk_c6)) % 16.04/16.39 (define @t105 () (@list tptp.sk_c7)) % 16.04/16.39 (define @t106 () (tptp.inverse tptp.sk_c7)) % 16.04/16.39 (define @t107 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 16.04/16.39 (define @t108 () (tptp.multiply tptp.identity tptp.identity)) % 16.04/16.39 (define @t109 () (= tptp.identity @t108)) % 16.04/16.39 (define @t110 () (tptp.inverse tptp.sk_c10)) % 16.04/16.39 (define @t111 () (tptp.multiply @t110 tptp.sk_c10)) % 16.04/16.39 (define @t112 () (= tptp.identity @t111)) % 16.04/16.39 (define @t113 () (tptp.multiply tptp.identity tptp.sk_c6)) % 16.04/16.39 (define @t114 () (= tptp.sk_c6 @t113)) % 16.04/16.39 (define @t115 () (tptp.multiply @t25 tptp.sk_c6)) % 16.04/16.39 (define @t116 () (= tptp.identity @t115)) % 16.04/16.39 (define @t117 () (tptp.multiply tptp.identity tptp.sk_c7)) % 16.04/16.39 (define @t118 () (= tptp.sk_c7 @t117)) % 16.04/16.39 (define @t119 () (tptp.multiply @t106 tptp.sk_c7)) % 16.04/16.39 (define @t120 () (= tptp.identity @t119)) % 16.04/16.39 (define @t121 () (tptp.multiply @t106 @t107)) % 16.04/16.39 (define @t122 () (tptp.multiply @t119 tptp.sk_c6)) % 16.04/16.39 (define @t123 () (= @t122 @t121)) % 16.04/16.39 (define @t124 () (tptp.multiply @t107 tptp.sk_c7)) % 16.04/16.39 (define @t125 () (tptp.multiply @t106 @t124)) % 16.04/16.39 (define @t126 () (tptp.multiply @t121 tptp.sk_c7)) % 16.04/16.39 (define @t127 () (= @t126 @t125)) % 16.04/16.39 (define @t128 () (tptp.multiply @t108 tptp.sk_c7)) % 16.04/16.39 (define @t129 () (tptp.multiply tptp.identity @t117)) % 16.04/16.39 (define @t130 () (tptp.multiply tptp.identity @t113)) % 16.04/16.39 (define @t131 () (tptp.multiply @t108 tptp.sk_c6)) % 16.04/16.39 (define @t132 () (= tptp.sk_c9 @t111)) % 16.04/16.39 (define @t133 () (and @t92 @t93 @t109 @t112 @t114 @t116 @t118 @t120 @t123 @t127)) % 16.04/16.39 (define @t134 () (not @t127)) % 16.04/16.39 (define @t135 () (not @t123)) % 16.04/16.39 (define @t136 () (not @t120)) % 16.04/16.39 (define @t137 () (not @t118)) % 16.04/16.39 (define @t138 () (not @t116)) % 16.04/16.39 (define @t139 () (not @t114)) % 16.04/16.39 (define @t140 () (not @t112)) % 16.04/16.39 (define @t141 () (not @t109)) % 16.04/16.39 (define @t142 () (not @t93)) % 16.04/16.39 (define @t143 () (not @t92)) % 16.04/16.39 (define @t144 () (tptp.inverse tptp.sk_c9)) % 16.04/16.39 (define @t145 () (tptp.multiply @t144 tptp.sk_c9)) % 16.04/16.39 (define @t146 () (= tptp.identity @t145)) % 16.04/16.39 (define @t147 () (tptp.multiply tptp.identity tptp.sk_c5)) % 16.04/16.39 (define @t148 () (= tptp.sk_c5 @t147)) % 16.04/16.39 (define @t149 () (tptp.multiply @t16 tptp.sk_c5)) % 16.04/16.39 (define @t150 () (= tptp.identity @t149)) % 16.04/16.39 (define @t151 () (tptp.inverse @t16)) % 16.04/16.39 (define @t152 () (tptp.multiply @t151 @t16)) % 16.04/16.39 (define @t153 () (= tptp.identity @t152)) % 16.04/16.39 (define @t154 () (tptp.multiply tptp.sk_c9 tptp.sk_c5)) % 16.04/16.39 (define @t155 () (tptp.multiply @t144 @t154)) % 16.04/16.39 (define @t156 () (tptp.multiply @t145 tptp.sk_c5)) % 16.04/16.39 (define @t157 () (= @t156 @t155)) % 16.04/16.39 (define @t158 () (tptp.multiply @t108 tptp.sk_c5)) % 16.04/16.39 (define @t159 () (tptp.multiply tptp.identity @t147)) % 16.04/16.39 (define @t160 () (tptp.multiply tptp.sk_c5 @t16)) % 16.04/16.39 (define @t161 () (= tptp.sk_c9 @t160)) % 16.04/16.39 (define @t162 () (and @t90 @t92 @t93 @t109 @t146 @t148 @t150 @t153 @t114 @t116 @t118 @t120 @t157 @t123 @t127)) % 16.04/16.39 (define @t163 () (not @t157)) % 16.04/16.39 (define @t164 () (not @t153)) % 16.04/16.39 (define @t165 () (not @t150)) % 16.04/16.39 (define @t166 () (not @t148)) % 16.04/16.39 (define @t167 () (not @t146)) % 16.04/16.39 (define @t168 () (tptp.multiply tptp.identity tptp.sk_c8)) % 16.04/16.39 (define @t169 () (= tptp.sk_c8 @t168)) % 16.04/16.39 (define @t170 () (tptp.multiply tptp.identity @t168)) % 16.04/16.39 (define @t171 () (tptp.multiply @t108 tptp.sk_c8)) % 16.04/16.39 (define @t172 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c5 tptp.sk_c9))) % 16.04/16.39 (define @t173 () (and @t90 @t91 @t92 @t93 @t109 @t146 @t148 @t150 @t153 @t169 @t114 @t116 @t118 @t120 @t157 @t123 @t127)) % 16.04/16.39 (define @t174 () (not @t169)) % 16.04/16.39 (define @t175 () (= tptp.sk_c9 (tptp.multiply @t16 tptp.sk_c8))) % 16.04/16.39 (define @t176 () (not (= tptp.sk_c10 @t71))) % 16.04/16.39 (define @t177 () (not (= tptp.sk_c10 @t73))) % 16.04/16.39 (define @t178 () (or @t177 @t176)) % 16.04/16.39 (define @t179 () (forall (@list @t70) @t178)) % 16.04/16.39 (define @t180 () (@quantifiers_skolemize @t179 0)) % 16.04/16.39 (define @t181 () (@list @t180)) % 16.04/16.39 (define @t182 () (= tptp.sk_c10 @t48)) % 16.04/16.39 (define @t183 () (not @t182)) % 16.04/16.39 (define @t184 () (= tptp.sk_c10 @t44)) % 16.04/16.39 (define @t185 () (not @t184)) % 16.04/16.39 (define @t186 () (or @t185 @t183)) % 16.04/16.39 (define @t187 () (= tptp.sk_c10 @t14)) % 16.04/16.39 (define @t188 () (not @t187)) % 16.04/16.39 (define @t189 () (not @t89)) % 16.04/16.39 (define @t190 () (or @t189 @t188)) % 16.04/16.39 (define @t191 () (not @t190)) % 16.04/16.39 (define @t192 () (@list false false)) % 16.04/16.39 (define @t193 () (not @t179)) % 16.04/16.39 (define @t194 () (= tptp.sk_c10 (tptp.multiply @t180 tptp.sk_c9))) % 16.04/16.39 (define @t195 () (not @t194)) % 16.04/16.39 (define @t196 () (tptp.inverse @t180)) % 16.04/16.39 (define @t197 () (= tptp.sk_c10 @t196)) % 16.04/16.39 (define @t198 () (not @t197)) % 16.04/16.39 (define @t199 () (or @t198 @t195)) % 16.04/16.39 (define @t200 () (not @t199)) % 16.04/16.39 (define @t201 () (@list true)) % 16.04/16.39 (define @t202 () (@list @t179)) % 16.04/16.39 (define @t203 () (@list @t199)) % 16.04/16.39 (define @t204 () (tptp.multiply tptp.identity @t180)) % 16.04/16.39 (define @t205 () (= @t180 @t204)) % 16.04/16.39 (define @t206 () (tptp.multiply @t196 @t180)) % 16.04/16.39 (define @t207 () (= tptp.identity @t206)) % 16.04/16.39 (define @t208 () (tptp.multiply tptp.sk_c10 @t180)) % 16.04/16.39 (define @t209 () (tptp.multiply @t110 @t208)) % 16.04/16.39 (define @t210 () (tptp.multiply @t111 @t180)) % 16.04/16.39 (define @t211 () (= @t210 @t209)) % 16.04/16.39 (define @t212 () (tptp.multiply @t110 tptp.identity)) % 16.04/16.39 (define @t213 () (tptp.multiply @t212 tptp.identity)) % 16.04/16.39 (define @t214 () (= @t213 (tptp.multiply @t110 @t108))) % 16.04/16.39 (define @t215 () (tptp.inverse @t9)) % 16.04/16.39 (define @t216 () (tptp.multiply @t108 @t180)) % 16.04/16.39 (define @t217 () (tptp.multiply tptp.identity @t204)) % 16.04/16.39 (define @t218 () (= tptp.sk_c10 (tptp.inverse @t110))) % 16.04/16.39 (define @t219 () (and @t89 @t92 @t93 @t197 @t194 @t109 @t112 @t114 @t116 @t118 @t120 @t205 @t207 @t211 @t214 @t123 @t127)) % 16.04/16.39 (define @t220 () (not @t211)) % 16.04/16.39 (define @t221 () (not @t207)) % 16.04/16.39 (define @t222 () (not @t205)) % 16.04/16.39 (define @t223 () (not @t175)) % 16.04/16.39 (define @t224 () (not @t161)) % 16.04/16.39 (define @t225 () (or @t224 @t223)) % 16.04/16.39 (define @t226 () (not @t225)) % 16.04/16.39 (define @t227 () (not @t172)) % 16.04/16.39 (define @t228 () (or @t227 @t95)) % 16.04/16.39 (define @t229 () (not @t228)) % 16.04/16.39 (define @t230 () (not @t218)) % 16.04/16.39 (define @t231 () (not @t132)) % 16.04/16.39 (define @t232 () (or @t231 @t230)) % 16.04/16.39 (define @t233 () (not @t232)) % 16.04/16.39 (define @t234 () (not (= tptp.sk_c9 (tptp.multiply @t56 tptp.sk_c8)))) % 16.04/16.39 (define @t235 () (not (= tptp.sk_c9 (tptp.multiply @t55 @t56)))) % 16.04/16.39 (define @t236 () (or @t235 @t234)) % 16.04/16.39 (define @t237 () (@list @t55)) % 16.04/16.39 (define @t238 () (forall @t237 @t236)) % 16.04/16.39 (define @t239 () (not (= tptp.sk_c9 @t76))) % 16.04/16.39 (define @t240 () (not (= tptp.sk_c8 @t78))) % 16.04/16.39 (define @t241 () (or @t240 @t239)) % 16.04/16.39 (define @t242 () (forall (@list @t75) @t241)) % 16.04/16.39 (define @t243 () (not (= tptp.sk_c10 @t81))) % 16.04/16.39 (define @t244 () (not (= tptp.sk_c9 @t83))) % 16.04/16.39 (define @t245 () (or @t244 @t243)) % 16.04/16.39 (define @t246 () (forall (@list @t80) @t245)) % 16.04/16.39 (define @t247 () (not (= tptp.sk_c10 @t66))) % 16.04/16.39 (define @t248 () (not (= tptp.sk_c10 @t68))) % 16.04/16.39 (define @t249 () (or @t248 @t247)) % 16.04/16.39 (define @t250 () (forall (@list @t65) @t249)) % 16.04/16.39 (define @t251 () (not (= @t56 @t56))) % 16.04/16.39 (define @t252 () (or @t235 @t251 @t234)) % 16.04/16.39 (define @t253 () (not (= tptp.sk_c9 @t53))) % 16.04/16.39 (define @t254 () (not (= @t52 @t56))) % 16.04/16.39 (define @t255 () (not (= tptp.sk_c9 @t58))) % 16.04/16.39 (define @t256 () (or @t254 @t255 @t254 @t253)) % 16.04/16.39 (define @t257 () (@list @t52)) % 16.04/16.39 (define @t258 () (or @t255 @t254 @t253)) % 16.04/16.39 (define @t259 () (forall @t257 @t258)) % 16.04/16.39 (define @t260 () (forall @t237 @t259)) % 16.04/16.39 (define @t261 () (forall (@list @t55 @t52) @t258)) % 16.04/16.39 (define @t262 () (or @t246 @t242 @t179 @t250 @t101 @t261)) % 16.04/16.39 (define @t263 () (or @t245 @t241 @t178 @t249 @t100 @t258)) % 16.04/16.39 (define @t264 () (or @t244 @t243 @t240 @t239 @t177 @t176 @t248 @t247 @t99 @t98 @t255 @t254 @t253)) % 16.04/16.39 (define @t265 () (not @t88)) % 16.04/16.39 (define @t266 () (= tptp.sk_c9 @t11)) % 16.04/16.39 (define @t267 () (not @t266)) % 16.04/16.39 (define @t268 () (or @t267 @t265)) % 16.04/16.39 (define @t269 () (@list tptp.sk_c1)) % 16.04/16.39 (define @t270 () (= tptp.sk_c9 @t40)) % 16.04/16.39 (define @t271 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.04/16.39 (define @t272 () (= tptp.sk_c1 @t271)) % 16.04/16.39 (define @t273 () (tptp.multiply @t29 tptp.sk_c1)) % 16.04/16.39 (define @t274 () (= tptp.identity @t273)) % 16.04/16.39 (define @t275 () (tptp.multiply tptp.identity tptp.sk_c10)) % 16.04/16.39 (define @t276 () (= tptp.sk_c10 @t275)) % 16.04/16.39 (define @t277 () (tptp.multiply tptp.sk_c10 tptp.sk_c1)) % 16.04/16.39 (define @t278 () (tptp.multiply @t110 @t277)) % 16.04/16.39 (define @t279 () (tptp.multiply @t111 tptp.sk_c1)) % 16.04/16.39 (define @t280 () (= @t279 @t278)) % 16.04/16.39 (define @t281 () (tptp.multiply @t212 tptp.sk_c10)) % 16.04/16.39 (define @t282 () (= @t281 (tptp.multiply @t110 @t275))) % 16.04/16.39 (define @t283 () (tptp.multiply @t108 tptp.sk_c1)) % 16.04/16.39 (define @t284 () (tptp.multiply tptp.identity @t271)) % 16.04/16.39 (define @t285 () (and @t266 @t90 @t91 @t88 @t197 @t109 @t272 @t274 @t276 @t112 @t148 @t150 @t169 @t205 @t207 @t280 @t211 @t282)) % 16.04/16.39 (define @t286 () (not @t282)) % 16.04/16.39 (define @t287 () (not @t280)) % 16.04/16.39 (define @t288 () (not @t276)) % 16.04/16.39 (define @t289 () (not @t274)) % 16.04/16.39 (define @t290 () (not @t272)) % 16.04/16.39 (define @t291 () (= true false)) % 16.04/16.39 (define @t292 () (and @t172 @t227)) % 16.04/16.39 (define @t293 () (and @t161 @t224)) % 16.04/16.39 (define @t294 () (not @t270)) % 16.04/16.39 (define @t295 () (= tptp.sk_c8 @t36)) % 16.04/16.39 (define @t296 () (not @t295)) % 16.04/16.39 (define @t297 () (or @t296 @t294)) % 16.04/16.39 (define @t298 () (@list tptp.sk_c2)) % 16.04/16.39 (define @t299 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.04/16.39 (define @t300 () (= tptp.sk_c2 @t299)) % 16.04/16.39 (define @t301 () (tptp.multiply @t40 tptp.sk_c2)) % 16.04/16.39 (define @t302 () (= tptp.identity @t301)) % 16.04/16.39 (define @t303 () (tptp.multiply @t108 tptp.sk_c2)) % 16.04/16.39 (define @t304 () (tptp.multiply tptp.identity @t299)) % 16.04/16.39 (define @t305 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 @t40))) % 16.04/16.39 (define @t306 () (and @t266 @t88 @t270 @t109 @t272 @t274 @t276 @t112 @t300 @t302 @t280 @t282)) % 16.04/16.39 (define @t307 () (= tptp.sk_c9 (tptp.multiply @t40 tptp.sk_c8))) % 16.04/16.39 (define @t308 () (and @t266 @t88 @t295 @t270 @t109 @t272 @t274 @t276 @t112 @t300 @t302 @t280 @t282)) % 16.04/16.39 (define @t309 () (not @t307)) % 16.04/16.39 (define @t310 () (not @t305)) % 16.04/16.39 (define @t311 () (or @t310 @t309)) % 16.04/16.39 (define @t312 () (not @t238)) % 16.04/16.39 (define @t313 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) % 16.04/16.39 (define @t314 () (and @t266 @t88 @t295 @t270 @t109 @t272 @t274 @t276 @t112 @t169 @t300 @t302 @t280 @t282)) % 16.04/16.39 (define @t315 () (not @t313)) % 16.04/16.39 (define @t316 () (or @t294 @t315)) % 16.04/16.39 (define @t317 () (@list @t266)) % 16.04/16.39 (define @t318 () (@list false false false false false false false false false false false false false false false false false)) % 16.04/16.39 (define @t319 () (@list @t90 @t91 @t92 @t93 @t109 @t146 @t148 @t150 @t153 @t169 @t114 @t116 @t118 @t120 @t157 @t123 @t127)) % 16.04/16.39 (assume @p1 @t4) % 16.04/16.39 (assume @p2 @t6) % 16.04/16.39 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.04/16.39 (assume @p4 @t13) % 16.04/16.39 (assume @p5 (or @t12 @t15)) % 16.04/16.39 (assume @p6 @t18) % 16.04/16.39 (assume @p7 @t21) % 16.04/16.39 (assume @p8 @t24) % 16.04/16.39 (assume @p9 @t27) % 16.04/16.39 (assume @p10 (or @t12 @t28)) % 16.04/16.39 (assume @p11 @t31) % 16.04/16.39 (assume @p12 (or @t30 @t15)) % 16.04/16.39 (assume @p13 @t32) % 16.04/16.39 (assume @p14 @t33) % 16.04/16.39 (assume @p15 @t34) % 16.04/16.39 (assume @p16 @t35) % 16.04/16.39 (assume @p17 (or @t30 @t28)) % 16.04/16.39 (assume @p18 (or @t37 @t10)) % 16.04/16.39 (assume @p19 (or @t37 @t15)) % 16.04/16.39 (assume @p20 @t38) % 16.04/16.39 (assume @p21 @t39) % 16.04/16.39 (assume @p22 (or @t37 @t23)) % 16.04/16.39 (assume @p23 (or @t37 @t26)) % 16.04/16.39 (assume @p24 (or @t37 @t28)) % 16.04/16.39 (assume @p25 (or @t41 @t10)) % 16.04/16.39 (assume @p26 (or @t41 @t15)) % 16.04/16.39 (assume @p27 @t42) % 16.04/16.39 (assume @p28 @t43) % 16.04/16.39 (assume @p29 (or @t41 @t23)) % 16.04/16.39 (assume @p30 (or @t41 @t26)) % 16.04/16.39 (assume @p31 (or @t41 @t28)) % 16.04/16.39 (assume @p32 @t46) % 16.04/16.39 (assume @p33 @t47) % 16.04/16.39 (assume @p34 (or @t45 @t17)) % 16.04/16.39 (assume @p35 (or @t45 @t20)) % 16.04/16.39 (assume @p36 (or @t45 @t23)) % 16.04/16.39 (assume @p37 (or @t45 @t26)) % 16.04/16.39 (assume @p38 (or @t45 @t28)) % 16.04/16.39 (assume @p39 @t50) % 16.04/16.39 (assume @p40 @t51) % 16.04/16.39 (assume @p41 (or @t49 @t17)) % 16.04/16.39 (assume @p42 (or @t49 @t20)) % 16.04/16.39 (assume @p43 (or @t49 @t23)) % 16.04/16.39 (assume @p44 (or @t49 @t26)) % 16.04/16.39 (assume @p45 (or @t49 @t28)) % 16.04/16.39 (assume @p46 @t87) % 16.04/16.39 (step @p47 :rule eq-symm :args (@t9 tptp.sk_c10)) % 16.04/16.39 (step @p48 :rule eq-symm :args (@t29 tptp.sk_c10)) % 16.04/16.39 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t31)) % 16.04/16.39 (step @p50 :rule eq_resolve :premises (@p11 @p49)) % 16.04/16.39 (step @p51 :rule reordering :premises (@p50) :args ((or @t89 @t88))) % 16.04/16.39 (step @p52 :rule eq-symm :args (@t16 tptp.sk_c9)) % 16.04/16.39 (step @p53 :rule nary_cong :premises (@p48 @p52) :args (@t32)) % 16.04/16.39 (step @p54 :rule eq_resolve :premises (@p13 @p53)) % 16.04/16.39 (step @p55 :rule reordering :premises (@p54) :args ((or @t90 @t88))) % 16.04/16.39 (step @p56 :rule eq-symm :args (@t19 tptp.sk_c9)) % 16.04/16.39 (step @p57 :rule nary_cong :premises (@p48 @p56) :args (@t33)) % 16.04/16.39 (step @p58 :rule eq_resolve :premises (@p14 @p57)) % 16.04/16.39 (step @p59 :rule reordering :premises (@p58) :args ((or @t91 @t88))) % 16.04/16.39 (step @p60 :rule eq-symm :args (@t22 tptp.sk_c9)) % 16.04/16.39 (step @p61 :rule nary_cong :premises (@p48 @p60) :args (@t34)) % 16.04/16.39 (step @p62 :rule eq_resolve :premises (@p15 @p61)) % 16.04/16.39 (step @p63 :rule reordering :premises (@p62) :args ((or @t92 @t88))) % 16.04/16.39 (step @p64 :rule eq-symm :args (@t25 tptp.sk_c7)) % 16.04/16.39 (step @p65 :rule nary_cong :premises (@p48 @p64) :args (@t35)) % 16.04/16.39 (step @p66 :rule eq_resolve :premises (@p16 @p65)) % 16.04/16.39 (step @p67 :rule reordering :premises (@p66) :args ((or @t93 @t88))) % 16.04/16.39 (step @p68 :rule cnf_or_pos :args (@t96)) % 16.04/16.39 (step @p69 :rule reordering :premises (@p68) :args ((or @t95 @t94 @t97))) % 16.04/16.39 (assume-push @p1391 @t101) % 16.04/16.39 (step @p71 :rule instantiate :premises (@p1391) :args (@t102)) % 16.04/16.39 (step-pop @p1392 :rule scope :premises (@p71)) % 16.04/16.39 (step @p72 :rule process_scope :premises (@p1392) :args (@t96)) % 16.04/16.39 (step @p74 :rule implies_elim :premises (@p72)) % 16.04/16.39 (step @p75 :rule eq-symm :args (@t2 @t1)) % 16.04/16.39 (step @p76 :rule cong :premises (@p75) :args (@t4)) % 16.04/16.39 (step @p77 :rule eq_resolve :premises (@p1 @p76)) % 16.04/16.39 (step @p78 :rule instantiate :premises (@p77) :args ((@list tptp.identity))) % 16.04/16.39 (step @p79 :rule eq-symm :args (@t5 tptp.identity)) % 16.04/16.39 (step @p80 :rule cong :premises (@p79) :args (@t6)) % 16.04/16.39 (step @p81 :rule eq_resolve :premises (@p2 @p80)) % 16.04/16.39 (step @p82 :rule instantiate :premises (@p81) :args (@t103)) % 16.04/16.39 (step @p83 :rule instantiate :premises (@p77) :args (@t104)) % 16.04/16.39 (step @p84 :rule instantiate :premises (@p81) :args (@t104)) % 16.04/16.39 (step @p85 :rule instantiate :premises (@p77) :args (@t105)) % 16.04/16.39 (step @p86 :rule instantiate :premises (@p81) :args (@t105)) % 16.04/16.39 (step @p87 :rule instantiate :premises (@p3) :args ((@list @t106 tptp.sk_c7 tptp.sk_c6))) % 16.04/16.39 (step @p88 :rule instantiate :premises (@p3) :args ((@list @t106 @t107 tptp.sk_c7))) % 16.04/16.39 (assume-push @p1393 @t92) % 16.04/16.39 (assume-push @p1394 @t93) % 16.04/16.39 (assume-push @p1395 @t109) % 16.04/16.39 (assume-push @p1396 @t112) % 16.04/16.39 (assume-push @p1397 @t114) % 16.04/16.39 (assume-push @p1398 @t116) % 16.04/16.39 (assume-push @p1399 @t118) % 16.04/16.39 (assume-push @p1400 @t120) % 16.04/16.39 (assume-push @p1401 @t123) % 16.04/16.39 (assume-push @p1402 @t127) % 16.04/16.39 (assume-push @p1403 @t112) % 16.04/16.39 (assume-push @p1404 @t120) % 16.04/16.39 (assume-push @p1405 @t118) % 16.04/16.39 (assume-push @p1406 @t109) % 16.04/16.39 (assume-push @p1407 @t116) % 16.04/16.39 (assume-push @p1408 @t93) % 16.04/16.39 (assume-push @p1409 @t127) % 16.04/16.39 (assume-push @p1410 @t123) % 16.04/16.39 (assume-push @p1411 @t114) % 16.04/16.39 (assume-push @p1412 @t92) % 16.04/16.39 (step @p109 :rule symm :premises (@p86)) % 16.04/16.39 (step @p110 :rule symm :premises (@p85)) % 16.04/16.39 (step @p111 :rule refl :args (tptp.sk_c7)) % 16.04/16.39 (step @p112 :rule symm :premises (@p78)) % 16.04/16.39 (step @p113 :rule cong :premises (@p112 @p111) :args (@t128)) % 16.04/16.39 (step @p114 :rule cong :premises (@p78 @p110) :args (@t129)) % 16.04/16.39 (step @p115 :rule symm :premises (@p84)) % 16.04/16.39 (step @p116 :rule refl :args (tptp.sk_c6)) % 16.04/16.39 (step @p117 :rule cong :premises (@p1394 @p116) :args (@t107)) % 16.04/16.39 (step @p118 :rule trans :premises (@p117 @p115)) % 16.04/16.39 (step @p119 :rule cong :premises (@p118 @p85) :args (@t124)) % 16.04/16.39 (step @p120 :rule trans :premises (@p119 @p114 @p113 @p110)) % 16.04/16.39 (step @p121 :rule refl :args (@t106)) % 16.04/16.39 (step @p122 :rule cong :premises (@p121 @p120) :args (@t125)) % 16.04/16.39 (step @p123 :rule symm :premises (@p83)) % 16.04/16.39 (step @p124 :rule cong :premises (@p86 @p123) :args (@t130)) % 16.04/16.39 (step @p125 :rule cong :premises (@p112 @p83) :args (@t131)) % 16.04/16.39 (step @p126 :rule cong :premises (@p78 @p116) :args (@t113)) % 16.04/16.39 (step @p127 :rule trans :premises (@p83 @p126 @p125 @p124 @p87)) % 16.04/16.39 (step @p128 :rule cong :premises (@p127 @p111) :args (@t22)) % 16.04/16.39 (step @p129 :rule trans :premises (@p1393 @p128 @p88 @p122 @p109 @p82)) % 16.04/16.39 (step-pop @p1413 :rule scope :premises (@p129)) % 16.04/16.39 (step-pop @p1414 :rule scope :premises (@p1413)) % 16.04/16.39 (step-pop @p1415 :rule scope :premises (@p1414)) % 16.04/16.39 (step-pop @p1416 :rule scope :premises (@p1415)) % 16.04/16.39 (step-pop @p1417 :rule scope :premises (@p1416)) % 16.04/16.39 (step-pop @p1418 :rule scope :premises (@p1417)) % 16.04/16.39 (step-pop @p1419 :rule scope :premises (@p1418)) % 16.04/16.39 (step-pop @p1420 :rule scope :premises (@p1419)) % 16.04/16.39 (step-pop @p1421 :rule scope :premises (@p1420)) % 16.04/16.39 (step-pop @p1422 :rule scope :premises (@p1421)) % 16.04/16.39 (step @p130 :rule process_scope :premises (@p1422) :args (@t132)) % 16.04/16.39 (step @p141 :rule and_intro :premises (@p82 @p86 @p85 @p78 @p84 @p1394 @p88 @p87 @p83 @p1393)) % 16.04/16.39 (step @p142 :rule modus_ponens :premises (@p141 @p130)) % 16.04/16.39 (step-pop @p1423 :rule scope :premises (@p142)) % 16.04/16.39 (step-pop @p1424 :rule scope :premises (@p1423)) % 16.04/16.39 (step-pop @p1425 :rule scope :premises (@p1424)) % 16.04/16.39 (step-pop @p1426 :rule scope :premises (@p1425)) % 16.04/16.39 (step-pop @p1427 :rule scope :premises (@p1426)) % 16.04/16.39 (step-pop @p1428 :rule scope :premises (@p1427)) % 16.04/16.39 (step-pop @p1429 :rule scope :premises (@p1428)) % 16.04/16.39 (step-pop @p1430 :rule scope :premises (@p1429)) % 16.04/16.39 (step-pop @p1431 :rule scope :premises (@p1430)) % 16.04/16.39 (step-pop @p1432 :rule scope :premises (@p1431)) % 16.04/16.39 (step @p143 :rule process_scope :premises (@p1432) :args (@t132)) % 16.04/16.39 (step @p154 :rule implies_elim :premises (@p143)) % 16.04/16.39 (step @p155 :rule cnf_and_neg :args (@t133)) % 16.04/16.39 (step @p156 :rule resolution :premises (@p155 @p154) :args (true @t133)) % 16.04/16.39 (step @p157 :rule reordering :premises (@p156) :args ((or @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t135 @t132 @t134))) % 16.04/16.39 (step @p158 :rule instantiate :premises (@p81) :args ((@list tptp.sk_c9))) % 16.04/16.39 (step @p159 :rule instantiate :premises (@p77) :args (@t102)) % 16.04/16.39 (step @p160 :rule instantiate :premises (@p81) :args (@t102)) % 16.04/16.39 (step @p161 :rule instantiate :premises (@p81) :args ((@list @t16))) % 16.04/16.39 (step @p162 :rule instantiate :premises (@p3) :args ((@list @t144 tptp.sk_c9 tptp.sk_c5))) % 16.04/16.39 (assume-push @p1433 @t90) % 16.04/16.39 (assume-push @p1434 @t92) % 16.04/16.39 (assume-push @p1435 @t93) % 16.04/16.39 (assume-push @p1436 @t109) % 16.04/16.39 (assume-push @p1437 @t146) % 16.04/16.39 (assume-push @p1438 @t148) % 16.04/16.39 (assume-push @p1439 @t150) % 16.04/16.39 (assume-push @p1440 @t153) % 16.04/16.39 (assume-push @p1441 @t114) % 16.04/16.39 (assume-push @p1442 @t116) % 16.04/16.39 (assume-push @p1443 @t118) % 16.04/16.39 (assume-push @p1444 @t120) % 16.04/16.39 (assume-push @p1445 @t157) % 16.04/16.39 (assume-push @p1446 @t123) % 16.04/16.39 (assume-push @p1447 @t127) % 16.04/16.39 (assume-push @p1448 @t148) % 16.04/16.39 (assume-push @p1449 @t109) % 16.04/16.39 (assume-push @p1450 @t146) % 16.04/16.39 (assume-push @p1451 @t157) % 16.04/16.39 (assume-push @p1452 @t90) % 16.04/16.39 (assume-push @p1453 @t150) % 16.04/16.39 (assume-push @p1454 @t120) % 16.04/16.39 (assume-push @p1455 @t118) % 16.04/16.39 (assume-push @p1456 @t116) % 16.04/16.39 (assume-push @p1457 @t93) % 16.04/16.39 (assume-push @p1458 @t127) % 16.04/16.39 (assume-push @p1459 @t123) % 16.04/16.39 (assume-push @p1460 @t114) % 16.04/16.39 (assume-push @p1461 @t92) % 16.04/16.39 (assume-push @p1462 @t153) % 16.04/16.39 (step @p193 :rule symm :premises (@p1434)) % 16.04/16.39 (step @p111 :rule refl :args (tptp.sk_c7)) % 16.04/16.39 (step @p123 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16.04/16.39 (assume-push @p1500 @t150) % 16.04/16.39 (assume-push @p1501 @t153) % 16.04/16.39 (assume-push @p1502 @t169) % 16.04/16.39 (assume-push @p1503 @t114) % 16.04/16.39 (assume-push @p1504 @t116) % 16.04/16.39 (assume-push @p1505 @t118) % 16.04/16.39 (assume-push @p1506 @t120) % 16.04/16.39 (assume-push @p1507 @t157) % 16.04/16.39 (assume-push @p1508 @t123) % 16.04/16.39 (assume-push @p1509 @t127) % 16.04/16.39 (assume-push @p1510 @t90) % 16.04/16.39 (assume-push @p1511 @t148) % 16.04/16.39 (assume-push @p1512 @t109) % 16.04/16.39 (assume-push @p1513 @t146) % 16.04/16.39 (assume-push @p1514 @t157) % 16.04/16.39 (assume-push @p1515 @t150) % 16.04/16.39 (assume-push @p1516 @t120) % 16.04/16.39 (assume-push @p1517 @t118) % 16.04/16.39 (assume-push @p1518 @t116) % 16.04/16.39 (assume-push @p1519 @t93) % 16.04/16.39 (assume-push @p1520 @t127) % 16.04/16.39 (assume-push @p1521 @t123) % 16.04/16.39 (assume-push @p1522 @t114) % 16.04/16.39 (assume-push @p1523 @t92) % 16.04/16.39 (assume-push @p1524 @t153) % 16.04/16.39 (assume-push @p1525 @t91) % 16.04/16.39 (assume-push @p1526 @t169) % 16.04/16.39 (step @p299 :rule symm :premises (@p1493)) % 16.04/16.39 (step @p211 :rule refl :args (tptp.sk_c5)) % 16.04/16.39 (step @p300 :rule cong :premises (@p211 @p299) :args (@t160)) % 16.04/16.39 (step @p301 :rule symm :premises (@p1495)) % 16.04/16.39 (step @p111 :rule refl :args (tptp.sk_c7)) % 16.04/16.39 (step @p123 :rule symm :premises (@p83)) % 16.04/16.39 (step @p116 :rule refl :args (tptp.sk_c6)) % 16.04/16.39 (step @p112 :rule symm :premises (@p78)) % 16.04/16.39 (step @p194 :rule cong :premises (@p112 @p116) :args (@t131)) % 16.04/16.39 (step @p195 :rule cong :premises (@p78 @p123) :args (@t130)) % 16.04/16.39 (step @p109 :rule symm :premises (@p86)) % 16.04/16.39 (step @p196 :rule cong :premises (@p109 @p83) :args (@t122)) % 16.04/16.39 (step @p197 :rule symm :premises (@p87)) % 16.04/16.39 (step @p198 :rule trans :premises (@p197 @p196 @p195 @p194 @p123)) % 16.04/16.39 (step @p199 :rule cong :premises (@p198 @p111) :args (@t126)) % 16.04/16.39 (step @p200 :rule symm :premises (@p88)) % 16.04/16.39 (step @p110 :rule symm :premises (@p85)) % 16.04/16.39 (step @p302 :rule symm :premises (@p1496)) % 16.04/16.39 (step @p303 :rule cong :premises (@p302 @p116) :args (@t115)) % 16.04/16.39 (step @p304 :rule trans :premises (@p84 @p303)) % 16.04/16.39 (step @p305 :rule cong :premises (@p304 @p110) :args (@t129)) % 16.04/16.39 (step @p205 :rule cong :premises (@p112 @p85) :args (@t128)) % 16.04/16.39 (step @p206 :rule cong :premises (@p78 @p111) :args (@t117)) % 16.04/16.39 (step @p306 :rule trans :premises (@p85 @p206 @p205 @p305)) % 16.04/16.39 (step @p121 :rule refl :args (@t106)) % 16.04/16.39 (step @p307 :rule cong :premises (@p121 @p306) :args (@t119)) % 16.04/16.39 (step @p308 :rule trans :premises (@p86 @p307 @p200 @p199 @p301 @p1493)) % 16.04/16.39 (step @p210 :rule symm :premises (@p159)) % 16.04/16.39 (step @p212 :rule cong :premises 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16.04/16.39 (step-pop @p1531 :rule scope :premises (@p1530)) % 16.04/16.39 (step-pop @p1532 :rule scope :premises (@p1531)) % 16.04/16.39 (step-pop @p1533 :rule scope :premises (@p1532)) % 16.04/16.39 (step-pop @p1534 :rule scope :premises (@p1533)) % 16.04/16.39 (step-pop @p1535 :rule scope :premises (@p1534)) % 16.04/16.39 (step-pop @p1536 :rule scope :premises (@p1535)) % 16.04/16.39 (step-pop @p1537 :rule scope :premises (@p1536)) % 16.04/16.39 (step-pop @p1538 :rule scope :premises (@p1537)) % 16.04/16.39 (step-pop @p1539 :rule scope :premises (@p1538)) % 16.04/16.39 (step-pop @p1540 :rule scope :premises (@p1539)) % 16.04/16.39 (step-pop @p1541 :rule scope :premises (@p1540)) % 16.04/16.39 (step-pop @p1542 :rule scope :premises (@p1541)) % 16.04/16.39 (step-pop @p1543 :rule scope :premises (@p1542)) % 16.04/16.39 (step @p323 :rule process_scope :premises (@p1543) :args (@t172)) % 16.04/16.39 (step @p341 :rule and_intro :premises (@p1493 @p159 @p78 @p158 @p162 @p160 @p86 @p85 @p84 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cong :premises (@p1206 @p1094) :args (@t301)) % 16.04/16.39 (step @p1208 :rule trans :premises (@p1095 @p1207 @p1131 @p1130 @p1128)) % 16.04/16.39 (step @p1209 :rule cong :premises (@p1208 @p1203) :args (@t108)) % 16.04/16.39 (step @p1210 :rule trans :premises (@p78 @p1209 @p1195)) % 16.04/16.39 (step @p1211 :rule symm :premises (@p1206)) % 16.04/16.39 (step @p1212 :rule cong :premises (@p1211 @p1210) :args (@t108)) % 16.04/16.39 (step @p1213 :rule trans :premises (@p1979 @p1204 @p735 @p927 @p569 @p78 @p1212)) % 16.04/16.39 (step-pop @p2005 :rule scope :premises (@p1213)) % 16.04/16.39 (step-pop @p2006 :rule scope :premises (@p2005)) % 16.04/16.39 (step-pop @p2007 :rule scope :premises (@p2006)) % 16.04/16.39 (step-pop @p2008 :rule scope :premises (@p2007)) % 16.04/16.39 (step-pop @p2009 :rule scope :premises (@p2008)) % 16.04/16.39 (step-pop @p2010 :rule scope :premises (@p2009)) % 16.04/16.39 (step-pop @p2011 :rule scope :premises (@p2010)) % 16.04/16.39 (step-pop @p2012 :rule scope :premises (@p2011)) % 16.04/16.39 (step-pop @p2013 :rule scope :premises (@p2012)) % 16.04/16.39 (step-pop @p2014 :rule scope :premises (@p2013)) % 16.04/16.39 (step-pop @p2015 :rule scope :premises (@p2014)) % 16.04/16.39 (step-pop @p2016 :rule scope :premises (@p2015)) % 16.04/16.39 (step-pop @p2017 :rule scope :premises (@p2016)) % 16.04/16.39 (step @p1214 :rule process_scope :premises (@p2017) :args (@t307)) % 16.04/16.39 (step @p1228 :rule and_intro :premises (@p1982 @p1979 @p731 @p78 @p82 @p734 @p1980 @p732 @p735 @p733 @p1981 @p1094 @p1095)) % 16.04/16.39 (step @p1229 :rule modus_ponens :premises (@p1228 @p1214)) % 16.04/16.39 (step-pop @p2018 :rule scope :premises (@p1229)) % 16.04/16.39 (step-pop @p2019 :rule scope :premises (@p2018)) % 16.04/16.39 (step-pop @p2020 :rule scope :premises (@p2019)) % 16.04/16.39 (step-pop @p2021 :rule scope :premises (@p2020)) % 16.04/16.39 (step-pop @p2022 :rule scope :premises (@p2021)) % 16.04/16.39 (step-pop @p2023 :rule scope :premises (@p2022)) % 16.04/16.39 (step-pop @p2024 :rule scope :premises (@p2023)) % 16.04/16.39 (step-pop @p2025 :rule scope :premises (@p2024)) % 16.04/16.39 (step-pop @p2026 :rule scope :premises (@p2025)) % 16.04/16.39 (step-pop @p2027 :rule scope :premises (@p2026)) % 16.04/16.39 (step-pop @p2028 :rule scope :premises (@p2027)) % 16.04/16.39 (step-pop @p2029 :rule scope :premises (@p2028)) % 16.04/16.39 (step-pop @p2030 :rule scope :premises (@p2029)) % 16.04/16.39 (step @p1230 :rule process_scope :premises (@p2030) :args (@t307)) % 16.04/16.39 (step @p1244 :rule implies_elim :premises (@p1230)) % 16.04/16.39 (step @p1245 :rule cnf_and_neg :args (@t308)) % 16.04/16.39 (step @p1246 :rule resolution :premises (@p1245 @p1244) :args (true @t308)) % 16.04/16.39 (step @p1247 :rule cnf_or_pos :args (@t311)) % 16.04/16.39 (step @p1248 :rule reordering :premises (@p1247) :args ((or @t310 @t309 (not @t311)))) % 16.04/16.39 (assume-push @p2031 @t238) % 16.04/16.39 (step @p1250 :rule instantiate :premises (@p2031) :args (@t298)) % 16.04/16.39 (step-pop @p2032 :rule scope :premises (@p1250)) % 16.04/16.39 (step @p1251 :rule process_scope :premises (@p2032) :args (@t311)) % 16.04/16.39 (step @p1253 :rule implies_elim :premises (@p1251)) % 16.04/16.39 (step @p1254 :rule chain_m_resolution :premises (@p1253 @p1248 @p1246 @p735 @p734 @p1095 @p1094 @p82 @p733 @p732 @p731 @p78 @p1168 @p735 @p734 @p1095 @p1094 @p82 @p733 @p732 @p731 @p78) :args ((or @t267 @t265 @t296 @t294 @t312) (@list true false false false false false false false false false false false false false false false false false false false false) (@list @t311 @t307 @t282 @t280 @t302 @t300 @t112 @t276 @t274 @t272 @t109 @t305 @t282 @t280 @t302 @t300 @t112 @t276 @t274 @t272 @t109))) % 16.04/16.39 (assume-push @p2033 @t266) % 16.04/16.39 (assume-push @p2034 @t88) % 16.04/16.39 (assume-push @p2035 @t295) % 16.04/16.39 (assume-push @p2036 @t270) % 16.04/16.39 (assume-push @p2037 @t109) % 16.04/16.39 (assume-push @p2038 @t272) % 16.04/16.39 (assume-push @p2039 @t274) % 16.04/16.39 (assume-push @p2040 @t276) % 16.04/16.39 (assume-push @p2041 @t112) % 16.04/16.39 (assume-push @p2042 @t169) % 16.04/16.39 (assume-push @p2043 @t300) % 16.04/16.39 (assume-push @p2044 @t302) % 16.04/16.39 (assume-push @p2045 @t280) % 16.04/16.39 (assume-push @p2046 @t282) % 16.04/16.39 (assume-push @p2047 @t300) % 16.04/16.39 (assume-push @p2048 @t109) % 16.04/16.39 (assume-push @p2049 @t112) % 16.04/16.39 (assume-push @p2050 @t276) % 16.04/16.39 (assume-push @p2051 @t282) % 16.04/16.39 (assume-push @p2052 @t274) % 16.04/16.39 (assume-push @p2053 @t88) % 16.04/16.39 (assume-push @p2054 @t280) % 16.04/16.39 (assume-push @p2055 @t272) % 16.04/16.39 (assume-push @p2056 @t266) % 16.04/16.39 (assume-push @p2057 @t270) % 16.04/16.39 (assume-push @p2058 @t302) % 16.04/16.39 (assume-push @p2059 @t169) % 16.04/16.39 (assume-push @p2060 @t295) % 16.04/16.39 (step @p317 :rule symm :premises (@p264)) % 16.04/16.39 (step @p1128 :rule symm :premises (@p1094)) % 16.04/16.39 (step @p1129 :rule refl :args (tptp.sk_c2)) % 16.04/16.39 (step @p112 :rule symm :premises (@p78)) % 16.04/16.39 (step @p1130 :rule cong :premises (@p112 @p1129) :args (@t303)) % 16.04/16.39 (step @p1131 :rule cong :premises (@p78 @p1128) :args (@t304)) % 16.04/16.39 (step @p569 :rule symm :premises (@p82)) % 16.04/16.39 (step @p575 :rule refl :args (@t110)) % 16.04/16.39 (step @p794 :rule cong :premises (@p575 @p733) :args (@t111)) % 16.04/16.39 (step @p927 :rule symm :premises (@p794)) % 16.04/16.39 (step @p773 :rule refl :args (tptp.sk_c10)) % 16.04/16.39 (step @p1283 :rule symm :premises (@p732)) % 16.04/16.39 (step @p775 :rule refl :args (tptp.sk_c1)) % 16.04/16.39 (step @p1284 :rule cong :premises (@p2034 @p775) :args (@t277)) % 16.04/16.39 (step @p1285 :rule trans :premises (@p1284 @p1283)) % 16.04/16.39 (step @p1286 :rule cong :premises (@p575 @p1285) :args (@t278)) % 16.04/16.39 (step @p774 :rule symm :premises (@p731)) % 16.04/16.39 (step @p1287 :rule cong :premises (@p82 @p774) :args (@t284)) % 16.04/16.39 (step @p1288 :rule cong :premises (@p112 @p731) :args (@t283)) % 16.04/16.39 (step @p1289 :rule cong :premises (@p78 @p775) :args (@t271)) % 16.04/16.39 (step @p1290 :rule trans :premises (@p731 @p1289 @p1288 @p1287 @p734 @p1286)) % 16.04/16.39 (step @p1291 :rule cong :premises (@p1290 @p773) :args (@t11)) % 16.04/16.39 (step @p1292 :rule symm :premises (@p2036)) % 16.04/16.39 (step @p1293 :rule trans :premises (@p1292 @p2033 @p1291 @p735 @p927 @p569)) % 16.04/16.39 (step @p1294 :rule cong :premises (@p1293 @p1094) :args (@t301)) % 16.04/16.39 (step @p1295 :rule trans :premises (@p1095 @p1294 @p1131 @p1130 @p1128)) % 16.04/16.39 (step @p1296 :rule cong :premises (@p1295 @p317) :args (@t170)) % 16.04/16.39 (step @p319 :rule cong :premises (@p112 @p264) :args (@t171)) % 16.04/16.39 (step @p320 :rule refl :args (tptp.sk_c8)) % 16.04/16.39 (step @p321 :rule cong :premises (@p78 @p320) :args (@t168)) % 16.04/16.39 (step @p1297 :rule symm :premises (@p2035)) % 16.04/16.39 (step @p1298 :rule symm :premises (@p2033)) % 16.04/16.39 (step @p1299 :rule symm :premises (@p1291)) % 16.04/16.39 (step @p793 :rule symm :premises (@p735)) % 16.04/16.39 (step @p1300 :rule trans :premises (@p82 @p794 @p793 @p1299 @p1298)) % 16.04/16.39 (step @p1301 :rule cong :premises (@p1295 @p1300) :args (@t108)) % 16.04/16.39 (step @p1302 :rule trans :premises (@p2033 @p1291 @p735 @p927 @p569 @p78 @p1301 @p1297 @p264 @p321 @p319 @p1296)) % 16.04/16.39 (step-pop @p2061 :rule scope :premises (@p1302)) % 16.04/16.39 (step-pop @p2062 :rule scope :premises (@p2061)) % 16.04/16.39 (step-pop @p2063 :rule scope :premises (@p2062)) % 16.04/16.39 (step-pop @p2064 :rule scope :premises (@p2063)) % 16.04/16.39 (step-pop @p2065 :rule scope :premises (@p2064)) % 16.04/16.39 (step-pop @p2066 :rule scope :premises (@p2065)) % 16.04/16.39 (step-pop @p2067 :rule scope :premises (@p2066)) % 16.04/16.39 (step-pop @p2068 :rule scope :premises (@p2067)) % 16.04/16.39 (step-pop @p2069 :rule scope :premises (@p2068)) % 16.04/16.39 (step-pop @p2070 :rule scope :premises (@p2069)) % 16.04/16.39 (step-pop @p2071 :rule scope :premises (@p2070)) % 16.04/16.39 (step-pop @p2072 :rule scope :premises (@p2071)) % 16.04/16.39 (step-pop @p2073 :rule scope :premises (@p2072)) % 16.04/16.39 (step-pop @p2074 :rule scope :premises (@p2073)) % 16.04/16.39 (step @p1303 :rule process_scope :premises (@p2074) :args (@t313)) % 16.04/16.39 (step @p1318 :rule and_intro :premises (@p1094 @p78 @p82 @p733 @p735 @p732 @p2034 @p734 @p731 @p2033 @p2036 @p1095 @p264 @p2035)) % 16.04/16.39 (step @p1319 :rule modus_ponens :premises (@p1318 @p1303)) % 16.04/16.39 (step-pop @p2075 :rule scope :premises (@p1319)) % 16.04/16.39 (step-pop @p2076 :rule scope :premises (@p2075)) % 16.04/16.39 (step-pop @p2077 :rule scope :premises (@p2076)) % 16.04/16.39 (step-pop @p2078 :rule scope :premises (@p2077)) % 16.04/16.39 (step-pop @p2079 :rule scope :premises (@p2078)) % 16.04/16.39 (step-pop @p2080 :rule scope :premises (@p2079)) % 16.04/16.39 (step-pop @p2081 :rule scope :premises (@p2080)) % 16.04/16.39 (step-pop @p2082 :rule scope :premises (@p2081)) % 16.04/16.39 (step-pop @p2083 :rule scope :premises (@p2082)) % 16.04/16.39 (step-pop @p2084 :rule scope :premises (@p2083)) % 16.04/16.39 (step-pop @p2085 :rule scope :premises (@p2084)) % 16.04/16.39 (step-pop @p2086 :rule scope :premises (@p2085)) % 16.04/16.39 (step-pop @p2087 :rule scope :premises (@p2086)) % 16.04/16.39 (step-pop @p2088 :rule scope :premises (@p2087)) % 16.04/16.39 (step @p1320 :rule process_scope :premises (@p2088) :args (@t313)) % 16.04/16.39 (step @p1335 :rule implies_elim :premises (@p1320)) % 16.04/16.39 (step @p1336 :rule cnf_and_neg :args (@t314)) % 16.04/16.39 (step @p1337 :rule resolution :premises (@p1336 @p1335) :args (true @t314)) % 16.04/16.39 (step @p1338 :rule reordering :premises (@p1337) :args ((or @t267 @t265 @t296 @t294 @t141 @t290 @t289 @t288 @t140 @t174 @t313 (not @t300) (not @t302) @t287 @t286))) % 16.04/16.39 (assume-push @p2089 @t242) % 16.04/16.39 (step @p1340 :rule instantiate :premises (@p2089) :args (@t298)) % 16.04/16.39 (step-pop @p2090 :rule scope :premises (@p1340)) % 16.04/16.39 (step @p1341 :rule process_scope :premises (@p2090) :args (@t297)) % 16.04/16.39 (step @p1343 :rule implies_elim :premises (@p1341)) % 16.04/16.39 (step @p1344 :rule cnf_or_pos :args (@t316)) % 16.04/16.39 (step @p1345 :rule reordering :premises (@p1344) :args ((or @t294 @t315 (not @t316)))) % 16.04/16.39 (assume-push @p2091 @t101) % 16.04/16.39 (step @p1347 :rule instantiate :premises (@p2091) :args (@t298)) % 16.04/16.39 (step-pop @p2092 :rule scope :premises (@p1347)) % 16.04/16.39 (step @p1348 :rule process_scope :premises (@p2092) :args (@t316)) % 16.04/16.39 (step @p1350 :rule implies_elim :premises (@p1348)) % 16.04/16.39 (step @p1351 :rule chain_m_resolution :premises (@p1350 @p983 @p495 @p1345 @p1343 @p1338 @p735 @p734 @p1095 @p1094 @p264 @p82 @p733 @p732 @p731 @p78 @p1254 @p1093 @p723 @p718) :args ((or @t267 @t265 @t296 @t294) (@list false true true true false false false false false false false false false false false true true true true) (@list @t101 @t179 @t316 @t242 @t313 @t282 @t280 @t302 @t300 @t169 @t112 @t276 @t274 @t272 @t109 @t238 @t297 @t246 @t268))) % 16.04/16.39 (step @p1352 :rule eq-symm :args (@t36 tptp.sk_c8)) % 16.04/16.39 (step @p1353 :rule nary_cong :premises (@p1352 @p52) :args (@t38)) % 16.04/16.39 (step @p1354 :rule eq_resolve :premises (@p20 @p1353)) % 16.04/16.39 (step @p1355 :rule reordering :premises (@p1354) :args ((or @t90 @t295))) % 16.04/16.39 (step @p1356 :rule nary_cong :premises (@p1352 @p56) :args (@t39)) % 16.04/16.39 (step @p1357 :rule eq_resolve :premises (@p21 @p1356)) % 16.04/16.39 (step @p1358 :rule reordering :premises (@p1357) :args ((or @t91 @t295))) % 16.04/16.39 (step @p1359 :rule chain_m_resolution :premises (@p715 @p495 @p655 @p647 @p642 @p635 @p74 @p633 @p844 @p512 @p735 @p463 @p734 @p462 @p461 @p264 @p160 @p159 @p82 @p733 @p732 @p731 @p78 @p982 @p512 @p735 @p463 @p734 @p462 @p461 @p264 @p160 @p159 @p82 @p733 @p732 @p731 @p78 @p69 @p1090 @p512 @p735 @p463 @p734 @p462 @p461 @p160 @p159 @p82 @p733 @p732 @p731 @p78 @p1358 @p1355 @p1351 @p1091 @p723 @p718) :args (@t268 (@list true true true true true true true 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 false false false false false false false false false false false false false false false false true false true true) (@list @t179 @t250 @t242 @t238 @t228 @t101 @t225 @t175 @t197 @t282 @t211 @t280 @t207 @t205 @t169 @t150 @t148 @t112 @t276 @t274 @t272 @t109 @t172 @t197 @t282 @t211 @t280 @t207 @t205 @t169 @t150 @t148 @t112 @t276 @t274 @t272 @t109 @t96 @t161 @t197 @t282 @t211 @t280 @t207 @t205 @t150 @t148 @t112 @t276 @t274 @t272 @t109 @t91 @t90 @t295 @t270 @t246 @t268))) % 16.04/16.39 (step @p1360 :rule chain_m_resolution :premises (@p1359 @p716) :args (@t267 (@list false) (@list @t88))) % 16.04/16.39 (step @p1361 :rule eq-symm :args (@t11 tptp.sk_c9)) % 16.04/16.39 (step @p1362 :rule nary_cong :premises (@p1361 @p56) :args (@t21)) % 16.04/16.39 (step @p1363 :rule eq_resolve :premises (@p7 @p1362)) % 16.04/16.39 (step @p1364 :rule chain_m_resolution :premises (@p1363 @p1360) :args (@t91 @t201 @t317)) % 16.04/16.39 (step @p1365 :rule nary_cong :premises (@p1361 @p52) :args (@t18)) % 16.04/16.39 (step @p1366 :rule eq_resolve :premises (@p6 @p1365)) % 16.04/16.39 (step @p1367 :rule chain_m_resolution :premises (@p1366 @p1360) :args (@t90 @t201 @t317)) % 16.04/16.39 (step @p1368 :rule chain_m_resolution :premises (@p69 @p1367 @p1364) :args (@t97 @t192 (@list @t90 @t91))) % 16.04/16.39 (step @p1369 :rule chain_m_resolution :premises (@p74 @p1368) :args ((not @t101) @t201 (@list @t96))) % 16.04/16.39 (step @p1370 :rule nary_cong :premises (@p1361 @p64) :args (@t27)) % 16.04/16.39 (step @p1371 :rule eq_resolve :premises (@p9 @p1370)) % 16.04/16.39 (step @p1372 :rule chain_m_resolution :premises (@p1371 @p1360) :args (@t93 @t201 @t317)) % 16.04/16.39 (step @p1373 :rule nary_cong :premises (@p1361 @p60) :args (@t24)) % 16.04/16.39 (step @p1374 :rule eq_resolve :premises (@p8 @p1373)) % 16.04/16.39 (step @p1375 :rule chain_m_resolution :premises (@p1374 @p1360) :args (@t92 @t201 @t317)) % 16.04/16.39 (step @p1376 :rule chain_m_resolution :premises (@p364 @p1367 @p1364 @p1375 @p1372 @p78 @p158 @p159 @p160 @p161 @p264 @p83 @p84 @p85 @p86 @p162 @p87 @p88) :args (@t172 @t318 @t319)) % 16.04/16.39 (step @p1377 :rule chain_m_resolution :premises (@p635 @p1367 @p1376) :args (@t229 @t192 (@list @t90 @t172))) % 16.04/16.39 (step @p1378 :rule chain_m_resolution :premises (@p647 @p1377) :args ((not @t242) @t201 (@list @t228))) % 16.04/16.39 (step @p1379 :rule nary_cong :premises (@p1361 @p47) :args (@t13)) % 16.04/16.39 (step @p1380 :rule eq_resolve :premises (@p4 @p1379)) % 16.04/16.39 (step @p1381 :rule chain_m_resolution :premises (@p1380 @p1360) :args (@t89 @t201 @t317)) % 16.04/16.39 (step @p1382 :rule chain_m_resolution :premises (@p631 @p1381 @p1375 @p1372 @p512 @p518 @p78 @p82 @p83 @p84 @p85 @p86 @p461 @p462 @p463 @p464 @p87 @p88) :args (@t218 @t318 (@list @t89 @t92 @t93 @t197 @t194 @t109 @t112 @t114 @t116 @t118 @t120 @t205 @t207 @t211 @t214 @t123 @t127))) % 16.04/16.39 (step @p1383 :rule chain_m_resolution :premises (@p157 @p1375 @p1372 @p78 @p82 @p83 @p84 @p85 @p86 @p87 @p88) :args (@t132 (@list false false false false false false false false false false) (@list @t92 @t93 @t109 @t112 @t114 @t116 @t118 @t120 @t123 @t127))) % 16.04/16.39 (step @p1384 :rule chain_m_resolution :premises (@p637 @p1383 @p1382) :args (@t233 @t192 (@list @t132 @t218))) % 16.04/16.39 (step @p1385 :rule chain_m_resolution :premises (@p652 @p1384) :args ((not @t246) @t201 (@list @t232))) % 16.04/16.39 (step @p1386 :rule chain_m_resolution :premises (@p263 @p1367 @p1375 @p1372 @p78 @p158 @p159 @p160 @p161 @p83 @p84 @p85 @p86 @p162 @p87 @p88) :args (@t161 (@list false false false false false false false false false false false false false false false) (@list @t90 @t92 @t93 @t109 @t146 @t148 @t150 @t153 @t114 @t116 @t118 @t120 @t157 @t123 @t127))) % 16.04/16.39 (step @p1387 :rule chain_m_resolution :premises (@p460 @p1367 @p1364 @p1375 @p1372 @p78 @p158 @p159 @p160 @p161 @p264 @p83 @p84 @p85 @p86 @p162 @p87 @p88) :args (@t175 @t318 @t319)) % 16.04/16.39 (step @p1388 :rule chain_m_resolution :premises (@p633 @p1387 @p1386) :args (@t226 @t192 (@list @t175 @t161))) % 16.04/16.39 (step @p1389 :rule chain_m_resolution :premises (@p642 @p1388) :args (@t312 @t201 (@list @t225))) % 16.04/16.39 (step @p1390 false :rule chain_m_resolution :premises (@p983 @p1389 @p1385 @p495 @p1378 @p1369) :args (false (@list true true true true true) (@list @t238 @t246 @t179 @t242 @t101))) % 16.04/16.39 ) % 16.04/16.39 % SZS output end Proof % 16.04/16.39 % cvc5 exiting %------------------------------------------------------------------------------