%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP210-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:20:13 AM UTC 2026 % Result : Unsatisfiable 16.05s 16.51s % Output : Proof 16.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP210-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:00:34 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/16.22 --- Run --no-e-matching --full-saturate-quant at 6... % 16.05/16.51 % SZS status Unsatisfiable % 16.05/16.51 % SZS output start Proof % 16.05/16.53 ( % 16.05/16.53 (declare-sort $$unsorted 0) % 16.05/16.53 (declare-const tptp.sk_c8 $$unsorted) % 16.05/16.53 (declare-const tptp.sk_c9 $$unsorted) % 16.05/16.53 (declare-const tptp.sk_c5 $$unsorted) % 16.05/16.53 (declare-const tptp.sk_c1 $$unsorted) % 16.05/16.53 (declare-const tptp.sk_c6 $$unsorted) % 16.05/16.53 (declare-const tptp.sk_c2 $$unsorted) % 16.05/16.53 (declare-const tptp.sk_c3 $$unsorted) % 16.05/16.53 (declare-const tptp.sk_c4 $$unsorted) % 16.05/16.53 (declare-const tptp.sk_c7 $$unsorted) % 16.05/16.53 (declare-const tptp.sk_c10 $$unsorted) % 16.05/16.53 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.05/16.53 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.05/16.53 (declare-const tptp.identity $$unsorted) % 16.05/16.53 (define @t1 () (@var "X" $$unsorted)) % 16.05/16.53 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.05/16.53 (define @t3 () (@list @t1)) % 16.05/16.53 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.05/16.53 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.05/16.53 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.05/16.53 (define @t7 () (@var "Z" $$unsorted)) % 16.05/16.53 (define @t8 () (@var "Y" $$unsorted)) % 16.05/16.53 (define @t9 () (tptp.inverse tptp.sk_c4)) % 16.05/16.53 (define @t10 () (= @t9 tptp.sk_c10)) % 16.05/16.53 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c2)) % 16.05/16.53 (define @t12 () (= @t11 tptp.sk_c10)) % 16.05/16.53 (define @t13 () (or @t12 @t10)) % 16.05/16.53 (define @t14 () (tptp.multiply tptp.sk_c4 tptp.sk_c9)) % 16.05/16.53 (define @t15 () (= @t14 tptp.sk_c10)) % 16.05/16.53 (define @t16 () (or @t12 @t15)) % 16.05/16.53 (define @t17 () (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c9)) % 16.05/16.53 (define @t18 () (= (tptp.inverse tptp.sk_c5) tptp.sk_c6)) % 16.05/16.53 (define @t19 () (= (tptp.multiply tptp.sk_c6 tptp.sk_c10) tptp.sk_c9)) % 16.05/16.53 (define @t20 () (tptp.multiply tptp.sk_c10 tptp.sk_c8)) % 16.05/16.53 (define @t21 () (= @t20 tptp.sk_c9)) % 16.05/16.53 (define @t22 () (or @t12 @t21)) % 16.05/16.53 (define @t23 () (tptp.multiply tptp.sk_c7 tptp.sk_c10)) % 16.05/16.53 (define @t24 () (= @t23 tptp.sk_c8)) % 16.05/16.53 (define @t25 () (or @t12 @t24)) % 16.05/16.53 (define @t26 () (tptp.inverse tptp.sk_c7)) % 16.05/16.53 (define @t27 () (= @t26 tptp.sk_c10)) % 16.05/16.53 (define @t28 () (or @t12 @t27)) % 16.05/16.53 (define @t29 () (tptp.inverse tptp.sk_c1)) % 16.05/16.53 (define @t30 () (= @t29 tptp.sk_c2)) % 16.05/16.53 (define @t31 () (or @t30 @t10)) % 16.05/16.53 (define @t32 () (or @t30 @t15)) % 16.05/16.53 (define @t33 () (or @t30 @t21)) % 16.05/16.53 (define @t34 () (or @t30 @t24)) % 16.05/16.53 (define @t35 () (or @t30 @t27)) % 16.05/16.53 (define @t36 () (tptp.multiply tptp.sk_c2 tptp.sk_c9)) % 16.05/16.53 (define @t37 () (= @t36 tptp.sk_c10)) % 16.05/16.53 (define @t38 () (or @t37 @t10)) % 16.05/16.53 (define @t39 () (or @t37 @t15)) % 16.05/16.53 (define @t40 () (tptp.inverse tptp.sk_c3)) % 16.05/16.53 (define @t41 () (= @t40 tptp.sk_c10)) % 16.05/16.53 (define @t42 () (or @t41 @t10)) % 16.05/16.53 (define @t43 () (or @t41 @t15)) % 16.05/16.53 (define @t44 () (tptp.multiply tptp.sk_c3 tptp.sk_c9)) % 16.05/16.53 (define @t45 () (= @t44 tptp.sk_c10)) % 16.05/16.53 (define @t46 () (or @t45 @t10)) % 16.05/16.53 (define @t47 () (or @t45 @t15)) % 16.05/16.53 (define @t48 () (@var "X8" $$unsorted)) % 16.05/16.53 (define @t49 () (tptp.inverse @t48)) % 16.05/16.53 (define @t50 () (not (= @t49 tptp.sk_c10))) % 16.05/16.53 (define @t51 () (@var "X7" $$unsorted)) % 16.05/16.53 (define @t52 () (tptp.multiply @t48 tptp.sk_c10)) % 16.05/16.53 (define @t53 () (not (= @t52 @t51))) % 16.05/16.53 (define @t54 () (tptp.multiply tptp.sk_c10 @t51)) % 16.05/16.53 (define @t55 () (not (= @t54 tptp.sk_c9))) % 16.05/16.53 (define @t56 () (@var "X2" $$unsorted)) % 16.05/16.53 (define @t57 () (tptp.multiply @t56 tptp.sk_c10)) % 16.05/16.53 (define @t58 () (not (= @t57 tptp.sk_c9))) % 16.05/16.53 (define @t59 () (@var "X3" $$unsorted)) % 16.05/16.53 (define @t60 () (tptp.inverse @t59)) % 16.05/16.53 (define @t61 () (not (= @t60 @t56))) % 16.05/16.53 (define @t62 () (tptp.multiply @t59 @t56)) % 16.05/16.53 (define @t63 () (not (= @t62 tptp.sk_c9))) % 16.05/16.53 (define @t64 () (@var "X1" $$unsorted)) % 16.05/16.53 (define @t65 () (tptp.multiply @t64 tptp.sk_c9)) % 16.05/16.53 (define @t66 () (not (= @t65 tptp.sk_c10))) % 16.05/16.53 (define @t67 () (tptp.inverse @t64)) % 16.05/16.53 (define @t68 () (not (= @t67 tptp.sk_c10))) % 16.05/16.53 (define @t69 () (@var "X6" $$unsorted)) % 16.05/16.53 (define @t70 () (tptp.multiply @t69 tptp.sk_c9)) % 16.05/16.53 (define @t71 () (not (= @t70 tptp.sk_c10))) % 16.05/16.53 (define @t72 () (tptp.inverse @t69)) % 16.05/16.53 (define @t73 () (not (= @t72 tptp.sk_c10))) % 16.05/16.53 (define @t74 () (@var "X5" $$unsorted)) % 16.05/16.53 (define @t75 () (tptp.multiply @t74 tptp.sk_c9)) % 16.05/16.53 (define @t76 () (not (= @t75 tptp.sk_c10))) % 16.05/16.53 (define @t77 () (@var "X4" $$unsorted)) % 16.05/16.53 (define @t78 () (tptp.inverse @t77)) % 16.05/16.53 (define @t79 () (not (= @t78 @t74))) % 16.05/16.53 (define @t80 () (tptp.multiply @t77 @t74)) % 16.05/16.53 (define @t81 () (not (= @t80 tptp.sk_c10))) % 16.05/16.53 (define @t82 () (or @t81 @t79 @t76 @t73 @t71 @t68 @t66 @t63 @t61 @t58 @t55 @t53 @t50)) % 16.05/16.53 (define @t83 () (@list @t77 @t74 @t69 @t64 @t59 @t56 @t51 @t48)) % 16.05/16.53 (define @t84 () (forall @t83 @t82)) % 16.05/16.53 (define @t85 () (= tptp.sk_c2 @t29)) % 16.05/16.53 (define @t86 () (= tptp.sk_c10 @t9)) % 16.05/16.53 (define @t87 () (= tptp.sk_c10 @t14)) % 16.05/16.53 (define @t88 () (= tptp.sk_c9 @t20)) % 16.05/16.53 (define @t89 () (= tptp.sk_c8 @t23)) % 16.05/16.53 (define @t90 () (= tptp.sk_c10 @t26)) % 16.05/16.53 (define @t91 () (not @t87)) % 16.05/16.53 (define @t92 () (not @t86)) % 16.05/16.53 (define @t93 () (or @t92 @t91)) % 16.05/16.53 (define @t94 () (not @t93)) % 16.05/16.53 (define @t95 () (not (= tptp.sk_c10 @t70))) % 16.05/16.53 (define @t96 () (not (= tptp.sk_c10 @t72))) % 16.05/16.53 (define @t97 () (or @t96 @t95)) % 16.05/16.53 (define @t98 () (forall (@list @t69) @t97)) % 16.05/16.53 (define @t99 () (@list tptp.sk_c4)) % 16.05/16.53 (define @t100 () (@list tptp.identity)) % 16.05/16.53 (define @t101 () (tptp.multiply tptp.identity tptp.identity)) % 16.05/16.53 (define @t102 () (= tptp.identity @t101)) % 16.05/16.53 (define @t103 () (tptp.multiply @t9 tptp.sk_c4)) % 16.05/16.53 (define @t104 () (= tptp.identity @t103)) % 16.05/16.53 (define @t105 () (tptp.multiply tptp.identity tptp.sk_c9)) % 16.05/16.53 (define @t106 () (= tptp.sk_c9 @t105)) % 16.05/16.53 (define @t107 () (tptp.multiply @t9 @t14)) % 16.05/16.53 (define @t108 () (= (tptp.multiply @t103 tptp.sk_c9) @t107)) % 16.05/16.53 (define @t109 () (tptp.multiply tptp.identity @t105)) % 16.05/16.53 (define @t110 () (tptp.multiply @t101 tptp.sk_c9)) % 16.05/16.53 (define @t111 () (tptp.multiply @t9 tptp.sk_c10)) % 16.05/16.53 (define @t112 () (= tptp.sk_c9 @t111)) % 16.05/16.53 (define @t113 () (and @t87 @t102 @t104 @t106 @t108)) % 16.05/16.53 (define @t114 () (not @t108)) % 16.05/16.53 (define @t115 () (not @t106)) % 16.05/16.53 (define @t116 () (not @t104)) % 16.05/16.53 (define @t117 () (not @t102)) % 16.05/16.53 (define @t118 () (tptp.multiply tptp.identity tptp.sk_c10)) % 16.05/16.53 (define @t119 () (= tptp.sk_c10 @t118)) % 16.05/16.53 (define @t120 () (tptp.multiply @t26 tptp.sk_c7)) % 16.05/16.53 (define @t121 () (= tptp.identity @t120)) % 16.05/16.53 (define @t122 () (tptp.multiply @t26 @t23)) % 16.05/16.53 (define @t123 () (tptp.multiply @t120 tptp.sk_c10)) % 16.05/16.53 (define @t124 () (= @t123 @t122)) % 16.05/16.53 (define @t125 () (tptp.multiply tptp.identity @t118)) % 16.05/16.53 (define @t126 () (tptp.multiply @t101 tptp.sk_c10)) % 16.05/16.53 (define @t127 () (= tptp.sk_c10 (tptp.multiply @t9 tptp.sk_c9))) % 16.05/16.53 (define @t128 () (and @t87 @t88 @t89 @t90 @t102 @t119 @t104 @t106 @t121 @t124 @t108)) % 16.05/16.53 (define @t129 () (not @t124)) % 16.05/16.53 (define @t130 () (not @t121)) % 16.05/16.53 (define @t131 () (not @t119)) % 16.05/16.53 (define @t132 () (not @t90)) % 16.05/16.53 (define @t133 () (not @t89)) % 16.05/16.53 (define @t134 () (not @t88)) % 16.05/16.53 (define @t135 () (tptp.multiply tptp.sk_c4 tptp.sk_c10)) % 16.05/16.53 (define @t136 () (tptp.multiply tptp.sk_c4 @t9)) % 16.05/16.53 (define @t137 () (= tptp.sk_c10 @t136)) % 16.05/16.53 (define @t138 () (and @t86 @t87 @t88 @t89 @t90 @t102 @t119 @t121 @t124)) % 16.05/16.53 (define @t139 () (= tptp.sk_c9 @t136)) % 16.05/16.53 (define @t140 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 @t135))) % 16.05/16.53 (define @t141 () (and @t86 @t87 @t88 @t89 @t90 @t102 @t119 @t104 @t106 @t121 @t124 @t108)) % 16.05/16.53 (define @t142 () (not @t112)) % 16.05/16.53 (define @t143 () (not @t139)) % 16.05/16.53 (define @t144 () (or @t143 @t142)) % 16.05/16.53 (define @t145 () (not @t144)) % 16.05/16.53 (define @t146 () (not @t127)) % 16.05/16.53 (define @t147 () (not @t137)) % 16.05/16.53 (define @t148 () (or @t147 @t146)) % 16.05/16.53 (define @t149 () (not @t148)) % 16.05/16.53 (define @t150 () (not @t140)) % 16.05/16.53 (define @t151 () (or @t150 @t92)) % 16.05/16.53 (define @t152 () (not @t151)) % 16.05/16.53 (define @t153 () (not (= tptp.sk_c9 (tptp.multiply @t60 tptp.sk_c10)))) % 16.05/16.53 (define @t154 () (not (= tptp.sk_c9 (tptp.multiply @t59 @t60)))) % 16.05/16.53 (define @t155 () (or @t154 @t153)) % 16.05/16.53 (define @t156 () (@list @t59)) % 16.05/16.53 (define @t157 () (forall @t156 @t155)) % 16.05/16.53 (define @t158 () (not (= tptp.sk_c10 (tptp.multiply @t78 tptp.sk_c9)))) % 16.05/16.53 (define @t159 () (not (= tptp.sk_c10 (tptp.multiply @t77 @t78)))) % 16.05/16.53 (define @t160 () (or @t159 @t158)) % 16.05/16.53 (define @t161 () (@list @t77)) % 16.05/16.53 (define @t162 () (forall @t161 @t160)) % 16.05/16.53 (define @t163 () (not (= tptp.sk_c10 @t49))) % 16.05/16.53 (define @t164 () (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 @t52)))) % 16.05/16.53 (define @t165 () (or @t164 @t163)) % 16.05/16.53 (define @t166 () (@list @t48)) % 16.05/16.53 (define @t167 () (forall @t166 @t165)) % 16.05/16.53 (define @t168 () (not (= @t52 @t52))) % 16.05/16.53 (define @t169 () (or @t164 @t168 @t163)) % 16.05/16.53 (define @t170 () (not (= @t51 @t52))) % 16.05/16.53 (define @t171 () (not (= tptp.sk_c9 @t54))) % 16.05/16.53 (define @t172 () (or @t170 @t171 @t170 @t163)) % 16.05/16.53 (define @t173 () (@list @t51)) % 16.05/16.53 (define @t174 () (or @t171 @t170 @t163)) % 16.05/16.53 (define @t175 () (forall @t173 @t174)) % 16.05/16.53 (define @t176 () (forall @t166 @t175)) % 16.05/16.53 (define @t177 () (forall (@list @t48 @t51) @t174)) % 16.05/16.53 (define @t178 () (forall (@list @t51 @t48) @t174)) % 16.05/16.53 (define @t179 () (not (= @t60 @t60))) % 16.05/16.53 (define @t180 () (or @t154 @t179 @t153)) % 16.05/16.53 (define @t181 () (not (= tptp.sk_c9 @t57))) % 16.05/16.53 (define @t182 () (not (= @t56 @t60))) % 16.05/16.53 (define @t183 () (not (= tptp.sk_c9 @t62))) % 16.05/16.53 (define @t184 () (or @t182 @t183 @t182 @t181)) % 16.05/16.53 (define @t185 () (@list @t56)) % 16.05/16.53 (define @t186 () (or @t183 @t182 @t181)) % 16.05/16.53 (define @t187 () (forall @t185 @t186)) % 16.05/16.53 (define @t188 () (forall @t156 @t187)) % 16.05/16.53 (define @t189 () (forall (@list @t59 @t56) @t186)) % 16.05/16.53 (define @t190 () (not (= tptp.sk_c10 @t65))) % 16.05/16.53 (define @t191 () (not (= tptp.sk_c10 @t67))) % 16.05/16.53 (define @t192 () (or @t191 @t190)) % 16.05/16.53 (define @t193 () (forall (@list @t64) @t192)) % 16.05/16.53 (define @t194 () (not (= @t78 @t78))) % 16.05/16.53 (define @t195 () (or @t159 @t194 @t158)) % 16.05/16.53 (define @t196 () (not (= tptp.sk_c10 @t75))) % 16.05/16.53 (define @t197 () (not (= @t74 @t78))) % 16.05/16.53 (define @t198 () (not (= tptp.sk_c10 @t80))) % 16.05/16.53 (define @t199 () (or @t197 @t198 @t197 @t196)) % 16.05/16.53 (define @t200 () (@list @t74)) % 16.05/16.53 (define @t201 () (or @t198 @t197 @t196)) % 16.05/16.53 (define @t202 () (forall @t200 @t201)) % 16.05/16.53 (define @t203 () (forall @t161 @t202)) % 16.05/16.53 (define @t204 () (forall (@list @t77 @t74) @t201)) % 16.05/16.53 (define @t205 () (or @t204 @t98 @t193 @t189 @t178)) % 16.05/16.53 (define @t206 () (or @t201 @t97 @t192 @t186 @t174)) % 16.05/16.53 (define @t207 () (or @t198 @t197 @t196 @t96 @t95 @t191 @t190 @t183 @t182 @t181 @t171 @t170 @t163)) % 16.05/16.53 (define @t208 () (= tptp.sk_c10 @t44)) % 16.05/16.53 (define @t209 () (not @t208)) % 16.05/16.53 (define @t210 () (= tptp.sk_c10 @t40)) % 16.05/16.53 (define @t211 () (not @t210)) % 16.05/16.53 (define @t212 () (or @t211 @t209)) % 16.05/16.53 (define @t213 () (@list tptp.sk_c3)) % 16.05/16.53 (define @t214 () (tptp.inverse tptp.identity)) % 16.05/16.53 (define @t215 () (@list @t214)) % 16.05/16.53 (define @t216 () (@list tptp.sk_c1)) % 16.05/16.53 (define @t217 () (@list tptp.sk_c2)) % 16.05/16.53 (define @t218 () (tptp.inverse @t214)) % 16.05/16.53 (define @t219 () (tptp.inverse tptp.sk_c2)) % 16.05/16.53 (define @t220 () (= tptp.sk_c10 @t11)) % 16.05/16.53 (define @t221 () (tptp.multiply @t214 tptp.identity)) % 16.05/16.53 (define @t222 () (= tptp.identity @t221)) % 16.05/16.53 (define @t223 () (tptp.multiply tptp.identity @t214)) % 16.05/16.53 (define @t224 () (= @t214 @t223)) % 16.05/16.53 (define @t225 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.05/16.53 (define @t226 () (= tptp.sk_c1 @t225)) % 16.05/16.53 (define @t227 () (tptp.multiply @t29 tptp.sk_c1)) % 16.05/16.53 (define @t228 () (= tptp.identity @t227)) % 16.05/16.53 (define @t229 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.05/16.53 (define @t230 () (= tptp.sk_c2 @t229)) % 16.05/16.53 (define @t231 () (tptp.multiply @t219 tptp.sk_c2)) % 16.05/16.53 (define @t232 () (= tptp.identity @t231)) % 16.05/16.53 (define @t233 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.05/16.53 (define @t234 () (= tptp.sk_c3 @t233)) % 16.05/16.53 (define @t235 () (tptp.multiply @t40 tptp.sk_c3)) % 16.05/16.53 (define @t236 () (= tptp.identity @t235)) % 16.05/16.53 (define @t237 () (tptp.multiply @t214 @t214)) % 16.05/16.53 (define @t238 () (tptp.multiply tptp.identity @t237)) % 16.05/16.53 (define @t239 () (tptp.multiply @t223 @t214)) % 16.05/16.53 (define @t240 () (= @t239 @t238)) % 16.05/16.53 (define @t241 () (tptp.multiply @t218 @t214)) % 16.05/16.53 (define @t242 () (= tptp.identity @t241)) % 16.05/16.53 (define @t243 () (tptp.multiply @t221 @t214)) % 16.05/16.53 (define @t244 () (= @t243 (tptp.multiply @t214 @t223))) % 16.05/16.53 (define @t245 () (tptp.multiply @t218 @t237)) % 16.05/16.53 (define @t246 () (tptp.multiply @t241 @t214)) % 16.05/16.53 (define @t247 () (= @t246 @t245)) % 16.05/16.53 (define @t248 () (tptp.multiply tptp.sk_c2 tptp.sk_c1)) % 16.05/16.53 (define @t249 () (tptp.multiply @t219 @t248)) % 16.05/16.53 (define @t250 () (tptp.multiply @t231 tptp.sk_c1)) % 16.05/16.53 (define @t251 () (= @t250 @t249)) % 16.05/16.53 (define @t252 () (tptp.multiply @t219 tptp.identity)) % 16.05/16.53 (define @t253 () (tptp.multiply @t252 tptp.sk_c2)) % 16.05/16.53 (define @t254 () (= @t253 (tptp.multiply @t219 @t229))) % 16.05/16.53 (define @t255 () (tptp.multiply @t101 tptp.sk_c1)) % 16.05/16.53 (define @t256 () (tptp.multiply tptp.identity @t225)) % 16.05/16.53 (define @t257 () (tptp.multiply @t101 tptp.sk_c3)) % 16.05/16.53 (define @t258 () (tptp.multiply tptp.identity @t233)) % 16.05/16.53 (define @t259 () (tptp.inverse tptp.sk_c10)) % 16.05/16.53 (define @t260 () (tptp.inverse @t259)) % 16.05/16.53 (define @t261 () (= tptp.sk_c9 (tptp.multiply @t259 @t260))) % 16.05/16.53 (define @t262 () (and @t220 @t85 @t210 @t208 @t102 @t222 @t224 @t226 @t228 @t230 @t232 @t106 @t234 @t236 @t240 @t242 @t244 @t247 @t251 @t254)) % 16.05/16.53 (define @t263 () (not @t254)) % 16.05/16.53 (define @t264 () (not @t251)) % 16.05/16.53 (define @t265 () (not @t247)) % 16.05/16.53 (define @t266 () (not @t244)) % 16.05/16.53 (define @t267 () (not @t242)) % 16.05/16.53 (define @t268 () (not @t240)) % 16.05/16.53 (define @t269 () (not @t236)) % 16.05/16.53 (define @t270 () (not @t234)) % 16.05/16.53 (define @t271 () (not @t232)) % 16.05/16.53 (define @t272 () (not @t230)) % 16.05/16.53 (define @t273 () (not @t228)) % 16.05/16.53 (define @t274 () (not @t226)) % 16.05/16.53 (define @t275 () (not @t224)) % 16.05/16.53 (define @t276 () (not @t222)) % 16.05/16.53 (define @t277 () (not @t85)) % 16.05/16.53 (define @t278 () (not @t220)) % 16.05/16.53 (define @t279 () (@list @t259)) % 16.05/16.53 (define @t280 () (tptp.multiply @t260 @t259)) % 16.05/16.53 (define @t281 () (= tptp.identity @t280)) % 16.05/16.53 (define @t282 () (= tptp.sk_c9 (tptp.multiply @t260 tptp.sk_c10))) % 16.05/16.53 (define @t283 () (and @t220 @t85 @t210 @t208 @t102 @t222 @t224 @t226 @t228 @t230 @t232 @t106 @t234 @t236 @t240 @t242 @t244 @t247 @t281 @t251 @t254)) % 16.05/16.53 (define @t284 () (not @t282)) % 16.05/16.53 (define @t285 () (not @t261)) % 16.05/16.53 (define @t286 () (or @t285 @t284)) % 16.05/16.53 (define @t287 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c10)))) % 16.05/16.53 (define @t288 () (and @t220 @t85 @t210 @t208 @t102 @t226 @t228 @t230 @t232 @t106 @t234 @t236 @t251 @t254)) % 16.05/16.53 (define @t289 () (not @t287)) % 16.05/16.53 (define @t290 () (or @t289 @t211)) % 16.05/16.53 (define @t291 () (tptp.multiply tptp.identity tptp.sk_c4)) % 16.05/16.53 (define @t292 () (= tptp.sk_c4 @t291)) % 16.05/16.53 (define @t293 () (not @t292)) % 16.05/16.53 (define @t294 () (tptp.multiply tptp.identity @t291)) % 16.05/16.53 (define @t295 () (tptp.multiply @t101 tptp.sk_c4)) % 16.05/16.53 (define @t296 () (and @t220 @t86 @t85 @t210 @t209 @t102 @t226 @t228 @t230 @t232 @t292 @t104 @t106 @t234 @t236 @t251 @t254)) % 16.05/16.53 (define @t297 () (tptp.inverse @t9)) % 16.05/16.53 (define @t298 () (tptp.inverse @t297)) % 16.05/16.53 (define @t299 () (= tptp.sk_c9 (tptp.multiply @t297 @t298))) % 16.05/16.53 (define @t300 () (and @t220 @t86 @t87 @t85 @t102 @t222 @t224 @t226 @t228 @t230 @t232 @t292 @t104 @t106 @t240 @t242 @t244 @t247 @t251 @t254)) % 16.05/16.53 (define @t301 () (@list @t297)) % 16.05/16.53 (define @t302 () (tptp.multiply @t298 @t297)) % 16.05/16.53 (define @t303 () (= tptp.identity @t302)) % 16.05/16.53 (define @t304 () (= tptp.sk_c9 (tptp.multiply @t298 tptp.sk_c10))) % 16.05/16.53 (define @t305 () (and @t220 @t86 @t87 @t85 @t102 @t222 @t224 @t226 @t228 @t230 @t232 @t292 @t104 @t106 @t240 @t242 @t244 @t247 @t303 @t251 @t254)) % 16.05/16.53 (define @t306 () (not @t304)) % 16.05/16.53 (define @t307 () (not @t299)) % 16.05/16.53 (define @t308 () (or @t307 @t306)) % 16.05/16.53 (define @t309 () (and @t220 @t86 @t87 @t85 @t102 @t226 @t228 @t230 @t232 @t292 @t104 @t106 @t251 @t254)) % 16.05/16.53 (define @t310 () (= tptp.sk_c10 (tptp.multiply @t29 tptp.sk_c9))) % 16.05/16.53 (define @t311 () (not @t310)) % 16.05/16.53 (define @t312 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 @t29))) % 16.05/16.53 (define @t313 () (not @t312)) % 16.05/16.53 (define @t314 () (or @t313 @t311)) % 16.05/16.53 (define @t315 () (= tptp.sk_c10 @t36)) % 16.05/16.53 (define @t316 () (and @t85 @t315)) % 16.05/16.53 (define @t317 () (and @t220 @t85)) % 16.05/16.53 (define @t318 () (not @t314)) % 16.05/16.53 (define @t319 () (@list false false)) % 16.05/16.53 (define @t320 () (and @t220 @t86 @t85 @t102 @t226 @t228 @t230 @t232 @t292 @t104 @t251 @t254)) % 16.05/16.53 (define @t321 () (@list true)) % 16.05/16.53 (define @t322 () (@list @t220)) % 16.05/16.53 (define @t323 () (@list false false false false false false false false false)) % 16.05/16.53 (define @t324 () (@list @t86 @t87 @t88 @t89 @t90 @t102 @t119 @t121 @t124)) % 16.05/16.53 (assume @p1 @t4) % 16.05/16.53 (assume @p2 @t6) % 16.05/16.53 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.05/16.53 (assume @p4 @t13) % 16.05/16.53 (assume @p5 @t16) % 16.05/16.53 (assume @p6 (or @t12 @t17)) % 16.05/16.53 (assume @p7 (or @t12 @t18)) % 16.05/16.53 (assume @p8 (or @t12 @t19)) % 16.05/16.53 (assume @p9 @t22) % 16.05/16.53 (assume @p10 @t25) % 16.05/16.53 (assume @p11 @t28) % 16.05/16.53 (assume @p12 @t31) % 16.05/16.53 (assume @p13 @t32) % 16.05/16.53 (assume @p14 (or @t30 @t17)) % 16.05/16.53 (assume @p15 (or @t30 @t18)) % 16.05/16.53 (assume @p16 (or @t30 @t19)) % 16.05/16.53 (assume @p17 @t33) % 16.05/16.53 (assume @p18 @t34) % 16.05/16.53 (assume @p19 @t35) % 16.05/16.53 (assume @p20 @t38) % 16.05/16.53 (assume @p21 @t39) % 16.05/16.53 (assume @p22 (or @t37 @t17)) % 16.05/16.53 (assume @p23 (or @t37 @t18)) % 16.05/16.53 (assume @p24 (or @t37 @t19)) % 16.05/16.53 (assume @p25 (or @t37 @t21)) % 16.05/16.53 (assume @p26 (or @t37 @t24)) % 16.05/16.53 (assume @p27 (or @t37 @t27)) % 16.05/16.53 (assume @p28 @t42) % 16.05/16.53 (assume @p29 @t43) % 16.05/16.53 (assume @p30 (or @t41 @t17)) % 16.05/16.53 (assume @p31 (or @t41 @t18)) % 16.05/16.53 (assume @p32 (or @t41 @t19)) % 16.05/16.53 (assume @p33 (or @t41 @t21)) % 16.05/16.53 (assume @p34 (or @t41 @t24)) % 16.05/16.53 (assume @p35 (or @t41 @t27)) % 16.05/16.53 (assume @p36 @t46) % 16.05/16.53 (assume @p37 @t47) % 16.05/16.53 (assume @p38 (or @t45 @t17)) % 16.05/16.53 (assume @p39 (or @t45 @t18)) % 16.05/16.53 (assume @p40 (or @t45 @t19)) % 16.05/16.53 (assume @p41 (or @t45 @t21)) % 16.05/16.53 (assume @p42 (or @t45 @t24)) % 16.05/16.53 (assume @p43 (or @t45 @t27)) % 16.05/16.53 (assume @p44 @t84) % 16.05/16.53 (step @p45 :rule eq-symm :args (@t9 tptp.sk_c10)) % 16.05/16.53 (step @p46 :rule eq-symm :args (@t29 tptp.sk_c2)) % 16.05/16.53 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t31)) % 16.05/16.53 (step @p48 :rule eq_resolve :premises (@p12 @p47)) % 16.05/16.53 (step @p49 :rule reordering :premises (@p48) :args ((or @t86 @t85))) % 16.05/16.53 (step @p50 :rule eq-symm :args (@t14 tptp.sk_c10)) % 16.05/16.53 (step @p51 :rule nary_cong :premises (@p46 @p50) :args (@t32)) % 16.05/16.53 (step @p52 :rule eq_resolve :premises (@p13 @p51)) % 16.05/16.53 (step @p53 :rule reordering :premises (@p52) :args ((or @t87 @t85))) % 16.05/16.53 (step @p54 :rule eq-symm :args (@t20 tptp.sk_c9)) % 16.05/16.53 (step @p55 :rule nary_cong :premises (@p46 @p54) :args (@t33)) % 16.05/16.53 (step @p56 :rule eq_resolve :premises (@p17 @p55)) % 16.05/16.53 (step @p57 :rule reordering :premises (@p56) :args ((or @t88 @t85))) % 16.05/16.53 (step @p58 :rule eq-symm :args (@t23 tptp.sk_c8)) % 16.05/16.53 (step @p59 :rule nary_cong :premises (@p46 @p58) :args (@t34)) % 16.05/16.53 (step @p60 :rule eq_resolve :premises (@p18 @p59)) % 16.05/16.53 (step @p61 :rule reordering :premises (@p60) :args ((or @t89 @t85))) % 16.05/16.53 (step @p62 :rule eq-symm :args (@t26 tptp.sk_c10)) % 16.05/16.53 (step @p63 :rule nary_cong :premises (@p46 @p62) :args (@t35)) % 16.05/16.53 (step @p64 :rule eq_resolve :premises (@p19 @p63)) % 16.05/16.53 (step @p65 :rule reordering :premises (@p64) :args ((or @t90 @t85))) % 16.05/16.53 (step @p66 :rule cnf_or_pos :args (@t93)) % 16.05/16.53 (step @p67 :rule reordering :premises (@p66) :args ((or @t92 @t91 @t94))) % 16.05/16.53 (assume-push @p1536 @t98) % 16.05/16.53 (step @p69 :rule instantiate :premises (@p1536) :args (@t99)) % 16.05/16.53 (step-pop @p1537 :rule scope :premises (@p69)) % 16.05/16.53 (step @p70 :rule process_scope :premises (@p1537) :args (@t93)) % 16.05/16.53 (step @p72 :rule implies_elim :premises (@p70)) % 16.05/16.53 (step @p73 :rule alpha_equiv :args (@t98 (@list @t69) (@list @t64))) % 16.05/16.53 (step @p74 :rule equiv_elim2 :premises (@p73)) % 16.05/16.53 (step @p75 :rule eq-symm :args (@t2 @t1)) % 16.05/16.53 (step @p76 :rule cong :premises (@p75) :args (@t4)) % 16.05/16.53 (step @p77 :rule eq_resolve :premises (@p1 @p76)) % 16.05/16.53 (step @p78 :rule instantiate :premises (@p77) :args (@t100)) % 16.05/16.53 (step @p79 :rule eq-symm :args (@t5 tptp.identity)) % 16.05/16.53 (step @p80 :rule cong :premises (@p79) :args (@t6)) % 16.05/16.53 (step @p81 :rule eq_resolve :premises (@p2 @p80)) % 16.05/16.53 (step @p82 :rule instantiate :premises (@p81) :args (@t99)) % 16.05/16.53 (step @p83 :rule instantiate :premises (@p77) :args ((@list tptp.sk_c9))) % 16.05/16.53 (step @p84 :rule instantiate :premises (@p3) :args ((@list @t9 tptp.sk_c4 tptp.sk_c9))) % 16.05/16.53 (assume-push @p1538 @t87) % 16.05/16.53 (assume-push @p1539 @t102) % 16.05/16.53 (assume-push @p1540 @t104) % 16.05/16.53 (assume-push @p1541 @t106) % 16.05/16.53 (assume-push @p1542 @t108) % 16.05/16.53 (assume-push @p1543 @t87) % 16.05/16.53 (assume-push @p1544 @t108) % 16.05/16.53 (assume-push @p1545 @t104) % 16.05/16.53 (assume-push @p1546 @t106) % 16.05/16.53 (assume-push @p1547 @t102) % 16.05/16.53 (step @p95 :rule symm :premises (@p1538)) % 16.05/16.53 (step @p96 :rule refl :args (@t9)) % 16.05/16.53 (step @p97 :rule cong :premises (@p96 @p95) :args (@t107)) % 16.05/16.53 (step @p98 :rule symm :premises (@p83)) % 16.05/16.53 (step @p99 :rule cong :premises (@p82 @p98) :args (@t109)) % 16.05/16.53 (step @p100 :rule symm :premises (@p78)) % 16.05/16.53 (step @p101 :rule cong :premises (@p100 @p83) :args (@t110)) % 16.05/16.53 (step @p102 :rule refl :args (tptp.sk_c9)) % 16.05/16.53 (step @p103 :rule cong :premises (@p78 @p102) :args (@t105)) % 16.05/16.53 (step @p104 :rule trans :premises (@p83 @p103 @p101 @p99 @p84 @p97)) % 16.05/16.53 (step-pop @p1548 :rule scope :premises (@p104)) % 16.05/16.53 (step-pop @p1549 :rule scope :premises (@p1548)) % 16.05/16.53 (step-pop @p1550 :rule scope :premises (@p1549)) % 16.05/16.53 (step-pop @p1551 :rule scope :premises (@p1550)) % 16.05/16.53 (step-pop @p1552 :rule scope :premises (@p1551)) % 16.05/16.53 (step @p105 :rule process_scope :premises (@p1552) :args (@t112)) % 16.05/16.53 (step @p111 :rule and_intro :premises (@p1538 @p84 @p82 @p83 @p78)) % 16.05/16.53 (step @p112 :rule modus_ponens :premises (@p111 @p105)) % 16.05/16.53 (step-pop @p1553 :rule scope :premises (@p112)) % 16.05/16.53 (step-pop @p1554 :rule scope :premises (@p1553)) % 16.05/16.53 (step-pop @p1555 :rule scope :premises (@p1554)) % 16.05/16.53 (step-pop @p1556 :rule scope :premises (@p1555)) % 16.05/16.53 (step-pop @p1557 :rule scope :premises (@p1556)) % 16.05/16.53 (step @p113 :rule process_scope :premises (@p1557) :args (@t112)) % 16.05/16.53 (step @p119 :rule implies_elim :premises (@p113)) % 16.05/16.53 (step @p120 :rule cnf_and_neg :args (@t113)) % 16.05/16.53 (step @p121 :rule resolution :premises (@p120 @p119) :args (true @t113)) % 16.05/16.53 (step @p122 :rule reordering :premises (@p121) :args ((or @t91 @t117 @t112 @t116 @t115 @t114))) % 16.05/16.53 (step @p123 :rule instantiate :premises (@p77) :args ((@list tptp.sk_c10))) % 16.05/16.53 (step @p124 :rule instantiate :premises (@p81) :args ((@list tptp.sk_c7))) % 16.05/16.53 (step @p125 :rule instantiate :premises (@p3) :args ((@list @t26 tptp.sk_c7 tptp.sk_c10))) % 16.05/16.53 (assume-push @p1558 @t87) % 16.05/16.53 (assume-push @p1559 @t88) % 16.05/16.53 (assume-push @p1560 @t89) % 16.05/16.53 (assume-push @p1561 @t90) % 16.05/16.53 (assume-push @p1562 @t102) % 16.05/16.53 (assume-push @p1563 @t119) % 16.05/16.53 (assume-push @p1564 @t104) % 16.05/16.53 (assume-push @p1565 @t106) % 16.05/16.53 (assume-push @p1566 @t121) % 16.05/16.53 (assume-push @p1567 @t124) % 16.05/16.53 (assume-push @p1568 @t108) % 16.05/16.53 (assume-push @p1569 @t88) % 16.05/16.53 (assume-push @p1570 @t90) % 16.05/16.53 (assume-push @p1571 @t89) % 16.05/16.53 (assume-push @p1572 @t124) % 16.05/16.53 (assume-push @p1573 @t121) % 16.05/16.53 (assume-push @p1574 @t119) % 16.05/16.53 (assume-push @p1575 @t102) % 16.05/16.53 (assume-push @p1576 @t87) % 16.05/16.53 (assume-push @p1577 @t108) % 16.05/16.53 (assume-push @p1578 @t104) % 16.05/16.53 (assume-push @p1579 @t106) % 16.05/16.53 (step @p148 :rule symm :premises (@p1559)) % 16.05/16.53 (step @p149 :rule symm :premises (@p1560)) % 16.05/16.53 (step @p150 :rule symm :premises (@p1561)) % 16.05/16.53 (step @p151 :rule cong :premises (@p150 @p149) :args (@t122)) % 16.05/16.53 (step @p152 :rule symm :premises (@p123)) % 16.05/16.53 (step @p153 :rule cong :premises (@p124 @p152) :args (@t125)) % 16.05/16.53 (step @p100 :rule symm :premises (@p78)) % 16.05/16.53 (step @p154 :rule cong :premises (@p100 @p123) :args (@t126)) % 16.05/16.53 (step @p155 :rule refl :args (tptp.sk_c10)) % 16.05/16.53 (step @p156 :rule cong :premises (@p78 @p155) :args (@t118)) % 16.05/16.53 (step @p157 :rule trans :premises (@p123 @p156 @p154 @p153 @p125 @p151 @p148)) % 16.05/16.53 (step @p96 :rule refl :args (@t9)) % 16.05/16.53 (step @p158 :rule cong :premises (@p96 @p157) :args (@t111)) % 16.05/16.53 (step @p159 :rule symm :premises (@p1558)) % 16.05/16.53 (step @p160 :rule cong :premises (@p96 @p159) :args (@t107)) % 16.05/16.53 (step @p98 :rule symm :premises (@p83)) % 16.05/16.53 (step @p99 :rule cong :premises (@p82 @p98) :args (@t109)) % 16.05/16.53 (step @p101 :rule cong :premises (@p100 @p83) :args (@t110)) % 16.05/16.53 (step @p102 :rule refl :args (tptp.sk_c9)) % 16.05/16.53 (step @p103 :rule cong :premises (@p78 @p102) :args (@t105)) % 16.05/16.53 (step @p161 :rule trans :premises (@p123 @p156 @p154 @p153 @p125 @p151 @p148 @p83 @p103 @p101 @p99 @p84 @p160 @p158)) % 16.05/16.53 (step-pop @p1580 :rule scope :premises (@p161)) % 16.05/16.53 (step-pop @p1581 :rule scope :premises (@p1580)) % 16.05/16.53 (step-pop @p1582 :rule scope :premises (@p1581)) % 16.05/16.53 (step-pop @p1583 :rule scope :premises (@p1582)) % 16.05/16.53 (step-pop @p1584 :rule scope :premises (@p1583)) % 16.05/16.53 (step-pop @p1585 :rule scope :premises (@p1584)) % 16.05/16.53 (step-pop @p1586 :rule scope :premises (@p1585)) % 16.05/16.53 (step-pop @p1587 :rule scope :premises (@p1586)) % 16.05/16.53 (step-pop @p1588 :rule scope :premises (@p1587)) % 16.05/16.53 (step-pop @p1589 :rule scope :premises (@p1588)) % 16.05/16.53 (step-pop @p1590 :rule scope 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16.05/16.53 (step @p851 :rule implies_elim :premises (@p849)) % 16.05/16.53 (step @p852 :rule chain_m_resolution :premises (@p851 @p846 @p844 @p497 @p496 @p491 @p490 @p83 @p489 @p488 @p487 @p486 @p78 @p475 @p762 @p757 @p755 @p497 @p496 @p639 @p495 @p494 @p493 @p492 @p491 @p490 @p83 @p489 @p488 @p487 @p486 @p485 @p484 @p78 @p638 @p497 @p496 @p495 @p494 @p493 @p492 @p491 @p490 @p83 @p489 @p488 @p487 @p486 @p485 @p484 @p78 @p74 @p483 @p478) :args ((or @t162 @t278 @t277 @t211 @t209) (@list true false false false false false false false false false false false false 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 false false false false false true true true) (@list @t290 @t287 @t254 @t251 @t236 @t234 @t106 @t232 @t230 @t228 @t226 @t102 @t167 @t157 @t286 @t282 @t254 @t251 @t281 @t247 @t244 @t242 @t240 @t236 @t234 @t106 @t232 @t230 @t228 @t226 @t224 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16.05/16.53 (step @p866 :rule refl :args (@t115)) % 16.05/16.53 (step @p867 :rule refl :args (@t116)) % 16.05/16.53 (step @p868 :rule refl :args (@t293)) % 16.05/16.53 (step @p869 :rule refl :args (@t271)) % 16.05/16.53 (step @p870 :rule refl :args (@t272)) % 16.05/16.53 (step @p871 :rule refl :args (@t273)) % 16.05/16.53 (step @p872 :rule refl :args (@t274)) % 16.05/16.53 (step @p873 :rule refl :args (@t117)) % 16.05/16.53 (step @p874 :rule bool-double-not-elim :args (@t208)) % 16.05/16.53 (step @p875 :rule refl :args (@t211)) % 16.05/16.53 (step @p876 :rule refl :args (@t277)) % 16.05/16.53 (step @p877 :rule refl :args (@t92)) % 16.05/16.53 (step @p878 :rule refl :args (@t278)) % 16.05/16.53 (step @p879 :rule nary_cong :premises (@p878 @p877 @p876 @p875 @p874 @p873 @p872 @p871 @p870 @p869 @p868 @p867 @p866 @p865 @p864 @p863 @p862 @p861) :args ((or @t278 @t92 @t277 @t211 (not @t209) @t117 @t274 @t273 @t272 @t271 @t293 @t116 @t115 @t270 @t269 @t264 @t263 @t91))) % 16.05/16.53 (assume-push @p1954 @t220) % 16.05/16.53 (assume-push @p1955 @t86) % 16.05/16.53 (assume-push @p1956 @t85) % 16.05/16.53 (assume-push @p1957 @t210) % 16.05/16.53 (assume-push @p1958 @t209) % 16.05/16.53 (assume-push @p1959 @t102) % 16.05/16.53 (assume-push @p1960 @t226) % 16.05/16.53 (assume-push @p1961 @t228) % 16.05/16.53 (assume-push @p1962 @t230) % 16.05/16.53 (assume-push @p1963 @t232) % 16.05/16.53 (assume-push @p1964 @t292) % 16.05/16.53 (assume-push @p1965 @t104) % 16.05/16.53 (assume-push @p1966 @t106) % 16.05/16.53 (assume-push @p1967 @t234) % 16.05/16.53 (assume-push @p1968 @t236) % 16.05/16.53 (assume-push @p1969 @t251) % 16.05/16.53 (assume-push @p1970 @t254) % 16.05/16.53 (assume-push @p1971 @t209) % 16.05/16.53 (assume-push @p1972 @t234) % 16.05/16.53 (assume-push @p1973 @t102) % 16.05/16.53 (assume-push @p1974 @t232) % 16.05/16.53 (assume-push @p1975 @t230) % 16.05/16.53 (assume-push @p1976 @t254) % 16.05/16.53 (assume-push @p1977 @t228) % 16.05/16.53 (assume-push @p1978 @t85) % 16.05/16.53 (assume-push @p1979 @t251) % 16.05/16.53 (assume-push @p1980 @t226) % 16.05/16.53 (assume-push @p1981 @t220) % 16.05/16.53 (assume-push @p1982 @t210) % 16.05/16.53 (assume-push @p1983 @t236) % 16.05/16.53 (assume-push @p1984 @t106) % 16.05/16.53 (assume-push @p1985 @t104) % 16.05/16.53 (assume-push @p1986 @t86) % 16.05/16.53 (assume-push @p1987 @t292) % 16.05/16.53 (step @p914 :rule false_intro :premises (@p1958)) % 16.05/16.53 (step @p98 :rule symm :premises (@p83)) % 16.05/16.53 (step @p581 :rule symm :premises (@p490)) % 16.05/16.53 (step @p582 :rule refl :args (tptp.sk_c3)) % 16.05/16.53 (step @p100 :rule symm :premises (@p78)) % 16.05/16.53 (step @p583 :rule cong :premises (@p100 @p582) :args (@t257)) % 16.05/16.53 (step @p584 :rule cong :premises (@p78 @p581) :args (@t258)) % 16.05/16.53 (step @p544 :rule symm :premises (@p489)) % 16.05/16.53 (step @p550 :rule refl :args (@t219)) % 16.05/16.53 (step @p555 :rule cong :premises (@p550 @p488) :args (@t231)) % 16.05/16.53 (step @p578 :rule symm :premises (@p555)) % 16.05/16.53 (step @p539 :rule refl :args (tptp.sk_c2)) % 16.05/16.53 (step @p915 :rule symm :premises (@p487)) % 16.05/16.53 (step @p541 :rule refl :args (tptp.sk_c1)) % 16.05/16.53 (step @p916 :rule cong :premises (@p1956 @p541) :args (@t248)) % 16.05/16.53 (step @p917 :rule trans :premises (@p916 @p915)) % 16.05/16.53 (step @p918 :rule cong :premises (@p550 @p917) :args (@t249)) % 16.05/16.53 (step @p540 :rule symm :premises (@p486)) % 16.05/16.53 (step @p919 :rule cong :premises (@p489 @p540) :args (@t256)) % 16.05/16.53 (step @p920 :rule cong :premises (@p100 @p486) :args (@t255)) % 16.05/16.53 (step @p921 :rule cong :premises (@p78 @p541) :args (@t225)) % 16.05/16.53 (step @p922 :rule trans :premises (@p486 @p921 @p920 @p919 @p496 @p918)) % 16.05/16.53 (step @p923 :rule cong :premises (@p922 @p539) :args (@t11)) % 16.05/16.53 (step @p924 :rule symm :premises (@p1957)) % 16.05/16.53 (step @p925 :rule trans :premises 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16.05/16.53 (step @p982 :rule cnf_and_neg :args (@t296)) % 16.05/16.53 (step @p983 :rule resolution :premises (@p982 @p981) :args (true @t296)) % 16.05/16.53 (step @p984 :rule eq_resolve :premises (@p983 @p879)) % 16.05/16.53 (step @p985 :rule reordering :premises (@p984) :args ((or @t208 @t278 @t92 @t91 @t277 @t211 @t117 @t274 @t273 @t272 @t271 @t293 @t116 @t115 @t270 @t269 @t264 @t263))) % 16.05/16.53 (step @p986 :rule chain_m_resolution :premises (@p985 @p497 @p496 @p491 @p490 @p83 @p82 @p860 @p489 @p488 @p487 @p486 @p78 @p859 @p856 @p852) :args ((or @t162 @t278 @t277 @t211) (@list false false false false false false false false false false false false false false true) (@list @t254 @t251 @t236 @t234 @t106 @t104 @t292 @t232 @t230 @t228 @t226 @t102 @t87 @t86 @t208))) % 16.05/16.53 (step @p987 :rule eq-symm :args (@t40 tptp.sk_c10)) % 16.05/16.53 (step @p988 :rule nary_cong :premises (@p987 @p45) :args (@t42)) % 16.05/16.53 (step @p989 :rule eq_resolve :premises (@p28 @p988)) % 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(@p2299)) % 16.05/16.53 (step-pop @p2301 :rule scope :premises (@p2300)) % 16.05/16.53 (step-pop @p2302 :rule scope :premises (@p2301)) % 16.05/16.53 (step-pop @p2303 :rule scope :premises (@p2302)) % 16.05/16.53 (step-pop @p2304 :rule scope :premises (@p2303)) % 16.05/16.53 (step-pop @p2305 :rule scope :premises (@p2304)) % 16.05/16.53 (step-pop @p2306 :rule scope :premises (@p2305)) % 16.05/16.53 (step-pop @p2307 :rule scope :premises (@p2306)) % 16.05/16.53 (step-pop @p2308 :rule scope :premises (@p2307)) % 16.05/16.53 (step-pop @p2309 :rule scope :premises (@p2308)) % 16.05/16.53 (step @p1408 :rule process_scope :premises (@p2309) :args (@t137)) % 16.05/16.53 (step @p1421 :rule implies_elim :premises (@p1408)) % 16.05/16.53 (step @p1422 :rule cnf_and_neg :args (@t320)) % 16.05/16.53 (step @p1423 :rule resolution :premises (@p1422 @p1421) :args (true @t320)) % 16.05/16.53 (assume-push @p2310 @t220) % 16.05/16.53 (assume-push @p2311 @t86) % 16.05/16.53 (assume-push @p2312 @t87) % 16.05/16.53 (assume-push @p2313 @t85) % 16.05/16.53 (assume-push @p2314 @t102) % 16.05/16.53 (assume-push @p2315 @t226) % 16.05/16.53 (assume-push @p2316 @t228) % 16.05/16.53 (assume-push @p2317 @t230) % 16.05/16.53 (assume-push @p2318 @t232) % 16.05/16.53 (assume-push @p2319 @t292) % 16.05/16.53 (assume-push @p2320 @t104) % 16.05/16.53 (assume-push @p2321 @t106) % 16.05/16.53 (assume-push @p2322 @t251) % 16.05/16.53 (assume-push @p2323 @t254) % 16.05/16.53 (assume-push @p2324 @t86) % 16.05/16.53 (assume-push @p2325 @t220) % 16.05/16.53 (assume-push @p2326 @t226) % 16.05/16.53 (assume-push @p2327 @t102) % 16.05/16.53 (assume-push @p2328 @t232) % 16.05/16.53 (assume-push @p2329 @t251) % 16.05/16.53 (assume-push @p2330 @t85) % 16.05/16.53 (assume-push @p2331 @t228) % 16.05/16.53 (assume-push @p2332 @t254) % 16.05/16.53 (assume-push @p2333 @t230) % 16.05/16.53 (assume-push @p2334 @t106) % 16.05/16.53 (assume-push @p2335 @t104) % 16.05/16.53 (assume-push @p2336 @t292) % 16.05/16.53 (assume-push @p2337 @t87) % 16.05/16.53 (step @p98 :rule symm :premises (@p83)) % 16.05/16.53 (step @p102 :rule refl :args (tptp.sk_c9)) % 16.05/16.53 (step @p100 :rule symm :premises (@p78)) % 16.05/16.53 (step @p1452 :rule cong :premises (@p100 @p102) :args (@t110)) % 16.05/16.53 (step @p1453 :rule cong :premises (@p78 @p98) :args (@t109)) % 16.05/16.53 (step @p929 :rule symm :premises (@p82)) % 16.05/16.53 (step @p930 :rule symm :premises (@p860)) % 16.05/16.53 (step @p1454 :rule symm :premises (@p2310)) % 16.05/16.53 (step @p539 :rule refl :args (tptp.sk_c2)) % 16.05/16.53 (step @p540 :rule symm :premises (@p486)) % 16.05/16.53 (step @p541 :rule refl :args (tptp.sk_c1)) % 16.05/16.53 (step @p542 :rule cong :premises (@p100 @p541) :args (@t255)) % 16.05/16.53 (step @p543 :rule cong :premises (@p78 @p540) :args (@t256)) % 16.05/16.53 (step @p544 :rule symm :premises (@p489)) % 16.05/16.53 (step @p545 :rule cong :premises (@p544 @p486) :args (@t250)) % 16.05/16.53 (step @p546 :rule symm :premises (@p496)) % 16.05/16.53 (step @p1455 :rule symm :premises (@p2313)) % 16.05/16.53 (step @p1456 :rule cong :premises (@p1455 @p541) :args (@t227)) % 16.05/16.53 (step @p1457 :rule trans :premises (@p487 @p1456)) % 16.05/16.53 (step @p550 :rule refl :args (@t219)) % 16.05/16.53 (step @p1458 :rule cong :premises (@p550 @p1457) :args (@t252)) % 16.05/16.53 (step @p1459 :rule trans :premises (@p1458 @p546 @p545 @p543 @p542 @p540)) % 16.05/16.53 (step @p1460 :rule cong :premises (@p1459 @p539) :args (@t253)) % 16.05/16.53 (step @p554 :rule symm :premises (@p497)) % 16.05/16.53 (step @p555 :rule cong :premises (@p550 @p488) :args (@t231)) % 16.05/16.53 (step @p1461 :rule trans :premises (@p489 @p555 @p554 @p1460 @p1454 @p2311)) % 16.05/16.53 (step @p1462 :rule cong :premises (@p1461 @p930) :args (@t294)) % 16.05/16.53 (step @p935 :rule cong :premises (@p100 @p860) :args (@t295)) % 16.05/16.53 (step @p210 :rule refl :args (tptp.sk_c4)) % 16.05/16.53 (step @p936 :rule cong :premises (@p78 @p210) :args (@t291)) % 16.05/16.53 (step @p1463 :rule trans :premises (@p860 @p936 @p935 @p1462 @p929)) % 16.05/16.53 (step @p1464 :rule cong :premises (@p1463 @p83) :args (@t14)) % 16.05/16.53 (step @p1465 :rule trans :premises (@p489 @p555 @p554 @p1460 @p1454 @p2312 @p1464 @p1453 @p1452 @p98)) % 16.05/16.53 (step @p1466 :rule cong :premises (@p1461 @p1465) :args (@t101)) % 16.05/16.53 (step @p578 :rule symm :premises (@p555)) % 16.05/16.53 (step @p1467 :rule symm :premises (@p1460)) % 16.05/16.53 (step @p1468 :rule trans :premises (@p2310 @p1467 @p497 @p578 @p544 @p78 @p1466)) % 16.05/16.53 (step-pop @p2338 :rule scope :premises (@p1468)) % 16.05/16.53 (step-pop @p2339 :rule scope :premises (@p2338)) % 16.05/16.53 (step-pop @p2340 :rule scope :premises (@p2339)) % 16.05/16.53 (step-pop @p2341 :rule scope :premises (@p2340)) % 16.05/16.53 (step-pop @p2342 :rule scope :premises (@p2341)) % 16.05/16.53 (step-pop @p2343 :rule scope :premises (@p2342)) % 16.05/16.53 (step-pop @p2344 :rule scope :premises (@p2343)) % 16.05/16.53 (step-pop @p2345 :rule scope :premises (@p2344)) % 16.05/16.53 (step-pop @p2346 :rule scope :premises (@p2345)) % 16.05/16.53 (step-pop @p2347 :rule scope :premises (@p2346)) % 16.05/16.53 (step-pop @p2348 :rule scope :premises (@p2347)) % 16.05/16.53 (step-pop @p2349 :rule scope :premises (@p2348)) % 16.05/16.53 (step-pop @p2350 :rule scope :premises (@p2349)) % 16.05/16.53 (step-pop @p2351 :rule scope :premises (@p2350)) % 16.05/16.53 (step @p1469 :rule process_scope :premises (@p2351) :args (@t127)) % 16.05/16.53 (step @p1484 :rule and_intro :premises (@p2311 @p2310 @p486 @p78 @p489 @p496 @p2313 @p487 @p497 @p488 @p83 @p82 @p860 @p2312)) % 16.05/16.53 (step @p1485 :rule modus_ponens :premises (@p1484 @p1469)) % 16.05/16.53 (step-pop @p2352 :rule scope :premises (@p1485)) % 16.05/16.53 (step-pop @p2353 :rule scope :premises (@p2352)) % 16.05/16.53 (step-pop @p2354 :rule scope :premises (@p2353)) % 16.05/16.53 (step-pop @p2355 :rule scope :premises (@p2354)) % 16.05/16.53 (step-pop @p2356 :rule scope :premises (@p2355)) % 16.05/16.53 (step-pop @p2357 :rule scope :premises (@p2356)) % 16.05/16.53 (step-pop @p2358 :rule scope :premises (@p2357)) % 16.05/16.53 (step-pop @p2359 :rule scope :premises (@p2358)) % 16.05/16.53 (step-pop @p2360 :rule scope :premises (@p2359)) % 16.05/16.53 (step-pop @p2361 :rule scope :premises (@p2360)) % 16.05/16.53 (step-pop @p2362 :rule scope :premises (@p2361)) % 16.05/16.53 (step-pop @p2363 :rule scope :premises (@p2362)) % 16.05/16.53 (step-pop @p2364 :rule scope :premises (@p2363)) % 16.05/16.53 (step-pop @p2365 :rule scope :premises (@p2364)) % 16.05/16.53 (step @p1486 :rule process_scope :premises (@p2365) :args (@t127)) % 16.05/16.53 (step @p1501 :rule implies_elim :premises (@p1486)) % 16.05/16.53 (step @p1502 :rule resolution :premises (@p1303 @p1501) :args (true @t309)) % 16.05/16.53 (step @p1503 :rule chain_m_resolution :premises (@p375 @p363 @p1502 @p497 @p496 @p83 @p82 @p860 @p489 @p488 @p487 @p486 @p78 @p1423 @p497 @p496 @p82 @p860 @p489 @p488 @p487 @p486 @p78 @p1354 @p1351 @p1347 @p1310 @p1305) :args ((or @t278 @t277) (@list true 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) (@list @t148 @t127 @t254 @t251 @t106 @t104 @t292 @t232 @t230 @t228 @t226 @t102 @t137 @t254 @t251 @t104 @t292 @t232 @t230 @t228 @t226 @t102 @t87 @t86 @t315 @t314 @t162))) % 16.05/16.53 (step @p1504 :rule chain_m_resolution :premises (@p1503 @p476) :args (@t278 (@list false) (@list @t85))) % 16.05/16.53 (step @p1505 :rule eq-symm :args (@t11 tptp.sk_c10)) % 16.05/16.53 (step @p1506 :rule nary_cong :premises (@p1505 @p50) :args (@t16)) % 16.05/16.53 (step @p1507 :rule eq_resolve :premises (@p5 @p1506)) % 16.05/16.53 (step @p1508 :rule chain_m_resolution :premises (@p1507 @p1504) :args (@t87 @t321 @t322)) % 16.05/16.53 (step @p1509 :rule nary_cong :premises (@p1505 @p45) :args (@t13)) % 16.05/16.53 (step @p1510 :rule eq_resolve :premises (@p4 @p1509)) % 16.05/16.53 (step @p1511 :rule chain_m_resolution :premises (@p1510 @p1504) :args (@t86 @t321 @t322)) % 16.05/16.53 (step @p1512 :rule chain_m_resolution :premises (@p67 @p1511 @p1508) :args (@t94 @t319 (@list @t86 @t87))) % 16.05/16.53 (step @p1513 :rule chain_m_resolution :premises (@p72 @p1512) :args ((not @t98) @t321 (@list @t93))) % 16.05/16.53 (step @p1514 :rule chain_m_resolution :premises (@p74 @p1513) :args ((not @t193) @t321 (@list @t98))) % 16.05/16.53 (step @p1515 :rule chain_m_resolution :premises (@p122 @p1508 @p78 @p82 @p83 @p84) :args (@t112 (@list false false false false false) (@list @t87 @t102 @t104 @t106 @t108))) % 16.05/16.53 (step @p1516 :rule nary_cong :premises (@p1505 @p62) :args (@t28)) % 16.05/16.53 (step @p1517 :rule eq_resolve :premises (@p11 @p1516)) % 16.05/16.53 (step @p1518 :rule chain_m_resolution :premises (@p1517 @p1504) :args (@t90 @t321 @t322)) % 16.05/16.53 (step @p1519 :rule nary_cong :premises (@p1505 @p58) :args (@t25)) % 16.05/16.53 (step @p1520 :rule eq_resolve :premises (@p10 @p1519)) % 16.05/16.53 (step @p1521 :rule chain_m_resolution :premises (@p1520 @p1504) :args (@t89 @t321 @t322)) % 16.05/16.53 (step @p1522 :rule nary_cong :premises (@p1505 @p54) :args (@t22)) % 16.05/16.53 (step @p1523 :rule eq_resolve :premises (@p9 @p1522)) % 16.05/16.53 (step @p1524 :rule chain_m_resolution :premises (@p1523 @p1504) :args (@t88 @t321 @t322)) % 16.05/16.53 (step @p1525 :rule chain_m_resolution :premises (@p294 @p1511 @p1508 @p1524 @p1521 @p1518 @p78 @p123 @p124 @p125) :args (@t139 @t323 @t324)) % 16.05/16.53 (step @p1526 :rule chain_m_resolution :premises (@p361 @p1525 @p1515) :args (@t145 @t319 (@list @t139 @t112))) % 16.05/16.53 (step @p1527 :rule chain_m_resolution :premises (@p370 @p1526) :args ((not @t157) @t321 (@list @t144))) % 16.05/16.53 (step @p1528 :rule chain_m_resolution :premises (@p359 @p1511 @p1508 @p1524 @p1521 @p1518 @p78 @p123 @p82 @p83 @p124 @p125 @p84) :args (@t140 (@list false false false false false false false false false false false false) (@list @t86 @t87 @t88 @t89 @t90 @t102 @t119 @t104 @t106 @t121 @t124 @t108))) % 16.05/16.53 (step @p1529 :rule chain_m_resolution :premises (@p365 @p1511 @p1528) :args (@t152 @t319 (@list @t86 @t140))) % 16.05/16.53 (step @p1530 :rule chain_m_resolution :premises (@p380 @p1529) :args ((not @t167) @t321 (@list @t151))) % 16.05/16.53 (step @p1531 :rule chain_m_resolution :premises (@p191 @p1508 @p1524 @p1521 @p1518 @p78 @p123 @p82 @p83 @p124 @p125 @p84) :args (@t127 (@list false false false false false false false false false false false) (@list @t87 @t88 @t89 @t90 @t102 @t119 @t104 @t106 @t121 @t124 @t108))) % 16.05/16.53 (step @p1532 :rule chain_m_resolution :premises (@p246 @p1511 @p1508 @p1524 @p1521 @p1518 @p78 @p123 @p124 @p125) :args (@t137 @t323 @t324)) % 16.05/16.53 (step @p1533 :rule chain_m_resolution :premises (@p363 @p1532 @p1531) :args (@t149 @t319 (@list @t137 @t127))) % 16.05/16.53 (step @p1534 :rule chain_m_resolution :premises (@p375 @p1533) :args ((not @t162) @t321 (@list @t148))) % 16.05/16.53 (step @p1535 false :rule chain_m_resolution :premises (@p475 @p1534 @p1530 @p1513 @p1527 @p1514) :args (false (@list true true true true true) (@list @t162 @t167 @t98 @t157 @t193))) % 16.05/16.53 ) % 16.05/16.53 % SZS output end Proof % 16.05/16.53 % cvc5 exiting %------------------------------------------------------------------------------