%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP389-1 : 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 : n022.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 08:20:39 AM UTC 2026 % Result : Unsatisfiable 28.93s 29.17s % Output : Proof 29.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : GRP389-1 : TPTP v9.2.1. Released v2.5.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n022.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 01:03:08 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.13/16.30 --- Run --no-e-matching --full-saturate-quant at 6... % 22.10/22.33 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.11/28.35 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.93/29.17 % SZS status Unsatisfiable % 28.93/29.17 % SZS output start Proof % 29.01/29.20 ( % 29.01/29.20 (declare-sort $$unsorted 0) % 29.01/29.20 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 29.01/29.20 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 29.01/29.20 (declare-const tptp.identity $$unsorted) % 29.01/29.20 (declare-const tptp.sk_c5 $$unsorted) % 29.01/29.20 (declare-const tptp.sk_c10 $$unsorted) % 29.01/29.20 (declare-const tptp.sk_c7 $$unsorted) % 29.01/29.20 (declare-const tptp.sk_c2 $$unsorted) % 29.01/29.20 (declare-const tptp.sk_c4 $$unsorted) % 29.01/29.20 (declare-const tptp.sk_c9 $$unsorted) % 29.01/29.20 (declare-const tptp.sk_c8 $$unsorted) % 29.01/29.20 (declare-const tptp.sk_c6 $$unsorted) % 29.01/29.20 (declare-const tptp.sk_c1 $$unsorted) % 29.01/29.20 (declare-const tptp.sk_c11 $$unsorted) % 29.01/29.20 (declare-const tptp.sk_c3 $$unsorted) % 29.01/29.20 (define @t1 () (@var "X" $$unsorted)) % 29.01/29.20 (define @t2 () (tptp.multiply tptp.identity @t1)) % 29.01/29.20 (define @t3 () (@list @t1)) % 29.01/29.20 (define @t4 () (forall @t3 (= @t2 @t1))) % 29.01/29.20 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 29.01/29.20 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 29.01/29.20 (define @t7 () (@var "Z" $$unsorted)) % 29.01/29.20 (define @t8 () (@var "Y" $$unsorted)) % 29.01/29.20 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 29.01/29.20 (define @t10 () (tptp.multiply tptp.sk_c4 tptp.sk_c11)) % 29.01/29.20 (define @t11 () (= @t10 tptp.sk_c10)) % 29.01/29.20 (define @t12 () (tptp.inverse tptp.sk_c10)) % 29.01/29.20 (define @t13 () (= @t12 tptp.sk_c9)) % 29.01/29.20 (define @t14 () (or @t13 @t11)) % 29.01/29.20 (define @t15 () (tptp.inverse tptp.sk_c4)) % 29.01/29.20 (define @t16 () (= @t15 tptp.sk_c11)) % 29.01/29.20 (define @t17 () (tptp.multiply tptp.sk_c5 tptp.sk_c10)) % 29.01/29.20 (define @t18 () (= @t17 tptp.sk_c9)) % 29.01/29.20 (define @t19 () (or @t13 @t18)) % 29.01/29.20 (define @t20 () (tptp.inverse tptp.sk_c5)) % 29.01/29.20 (define @t21 () (= @t20 tptp.sk_c10)) % 29.01/29.20 (define @t22 () (or @t13 @t21)) % 29.01/29.20 (define @t23 () (tptp.inverse tptp.sk_c6)) % 29.01/29.20 (define @t24 () (= @t23 tptp.sk_c11)) % 29.01/29.20 (define @t25 () (tptp.multiply tptp.sk_c6 tptp.sk_c10)) % 29.01/29.20 (define @t26 () (= @t25 tptp.sk_c11)) % 29.01/29.20 (define @t27 () (tptp.multiply tptp.sk_c7 tptp.sk_c8)) % 29.01/29.20 (define @t28 () (= @t27 tptp.sk_c10)) % 29.01/29.20 (define @t29 () (or @t13 @t28)) % 29.01/29.20 (define @t30 () (tptp.inverse tptp.sk_c7)) % 29.01/29.20 (define @t31 () (= @t30 tptp.sk_c8)) % 29.01/29.20 (define @t32 () (or @t13 @t31)) % 29.01/29.20 (define @t33 () (tptp.multiply tptp.sk_c8 tptp.sk_c9)) % 29.01/29.20 (define @t34 () (= @t33 tptp.sk_c10)) % 29.01/29.20 (define @t35 () (or @t13 @t34)) % 29.01/29.20 (define @t36 () (tptp.inverse tptp.sk_c1)) % 29.01/29.20 (define @t37 () (= @t36 tptp.sk_c11)) % 29.01/29.20 (define @t38 () (or @t37 @t11)) % 29.01/29.20 (define @t39 () (or @t37 @t16)) % 29.01/29.20 (define @t40 () (or @t37 @t18)) % 29.01/29.20 (define @t41 () (or @t37 @t21)) % 29.01/29.20 (define @t42 () (or @t37 @t24)) % 29.01/29.20 (define @t43 () (or @t37 @t26)) % 29.01/29.20 (define @t44 () (or @t37 @t28)) % 29.01/29.20 (define @t45 () (or @t37 @t31)) % 29.01/29.20 (define @t46 () (or @t37 @t34)) % 29.01/29.20 (define @t47 () (tptp.multiply tptp.sk_c1 tptp.sk_c10)) % 29.01/29.20 (define @t48 () (= @t47 tptp.sk_c11)) % 29.01/29.20 (define @t49 () (or @t48 @t11)) % 29.01/29.20 (define @t50 () (or @t48 @t16)) % 29.01/29.20 (define @t51 () (or @t48 @t18)) % 29.01/29.20 (define @t52 () (or @t48 @t21)) % 29.01/29.20 (define @t53 () (or @t48 @t24)) % 29.01/29.20 (define @t54 () (or @t48 @t26)) % 29.01/29.20 (define @t55 () (or @t48 @t28)) % 29.01/29.20 (define @t56 () (or @t48 @t31)) % 29.01/29.20 (define @t57 () (or @t48 @t34)) % 29.01/29.20 (define @t58 () (tptp.multiply tptp.sk_c2 tptp.sk_c3)) % 29.01/29.20 (define @t59 () (= @t58 tptp.sk_c10)) % 29.01/29.20 (define @t60 () (or @t59 @t11)) % 29.01/29.20 (define @t61 () (or @t59 @t16)) % 29.01/29.20 (define @t62 () (or @t59 @t18)) % 29.01/29.20 (define @t63 () (or @t59 @t21)) % 29.01/29.20 (define @t64 () (or @t59 @t28)) % 29.01/29.20 (define @t65 () (or @t59 @t31)) % 29.01/29.20 (define @t66 () (or @t59 @t34)) % 29.01/29.20 (define @t67 () (tptp.inverse tptp.sk_c2)) % 29.01/29.20 (define @t68 () (= @t67 tptp.sk_c3)) % 29.01/29.20 (define @t69 () (or @t68 @t11)) % 29.01/29.20 (define @t70 () (or @t68 @t16)) % 29.01/29.20 (define @t71 () (or @t68 @t18)) % 29.01/29.20 (define @t72 () (or @t68 @t21)) % 29.01/29.20 (define @t73 () (or @t68 @t28)) % 29.01/29.20 (define @t74 () (or @t68 @t31)) % 29.01/29.20 (define @t75 () (or @t68 @t34)) % 29.01/29.20 (define @t76 () (tptp.multiply tptp.sk_c3 tptp.sk_c9)) % 29.01/29.20 (define @t77 () (= @t76 tptp.sk_c10)) % 29.01/29.20 (define @t78 () (or @t77 @t11)) % 29.01/29.20 (define @t79 () (or @t77 @t16)) % 29.01/29.20 (define @t80 () (or @t77 @t18)) % 29.01/29.20 (define @t81 () (or @t77 @t21)) % 29.01/29.20 (define @t82 () (or @t77 @t28)) % 29.01/29.20 (define @t83 () (or @t77 @t31)) % 29.01/29.20 (define @t84 () (or @t77 @t34)) % 29.01/29.20 (define @t85 () (@var "X8" $$unsorted)) % 29.01/29.20 (define @t86 () (tptp.multiply @t85 tptp.sk_c9)) % 29.01/29.20 (define @t87 () (not (= @t86 tptp.sk_c10))) % 29.01/29.20 (define @t88 () (@var "X7" $$unsorted)) % 29.01/29.20 (define @t89 () (tptp.inverse @t88)) % 29.01/29.20 (define @t90 () (not (= @t89 @t85))) % 29.01/29.20 (define @t91 () (tptp.multiply @t88 @t85)) % 29.01/29.20 (define @t92 () (not (= @t91 tptp.sk_c10))) % 29.01/29.20 (define @t93 () (@var "X3" $$unsorted)) % 29.01/29.20 (define @t94 () (tptp.multiply @t93 tptp.sk_c10)) % 29.01/29.20 (define @t95 () (not (= @t94 tptp.sk_c11))) % 29.01/29.20 (define @t96 () (tptp.inverse @t93)) % 29.01/29.20 (define @t97 () (not (= @t96 tptp.sk_c11))) % 29.01/29.20 (define @t98 () (@var "X2" $$unsorted)) % 29.01/29.20 (define @t99 () (tptp.inverse @t98)) % 29.01/29.20 (define @t100 () (not (= @t99 tptp.sk_c10))) % 29.01/29.20 (define @t101 () (tptp.multiply @t98 tptp.sk_c10)) % 29.01/29.20 (define @t102 () (not (= @t101 tptp.sk_c9))) % 29.01/29.20 (define @t103 () (@var "X1" $$unsorted)) % 29.01/29.20 (define @t104 () (tptp.inverse @t103)) % 29.01/29.20 (define @t105 () (not (= @t104 tptp.sk_c11))) % 29.01/29.20 (define @t106 () (tptp.multiply @t103 tptp.sk_c11)) % 29.01/29.20 (define @t107 () (not (= @t106 tptp.sk_c10))) % 29.01/29.20 (define @t108 () (@var "X6" $$unsorted)) % 29.01/29.20 (define @t109 () (tptp.multiply @t108 tptp.sk_c9)) % 29.01/29.20 (define @t110 () (not (= @t109 tptp.sk_c10))) % 29.01/29.20 (define @t111 () (@var "X5" $$unsorted)) % 29.01/29.20 (define @t112 () (tptp.inverse @t111)) % 29.01/29.20 (define @t113 () (not (= @t112 @t108))) % 29.01/29.20 (define @t114 () (tptp.multiply @t111 @t108)) % 29.01/29.20 (define @t115 () (not (= @t114 tptp.sk_c10))) % 29.01/29.20 (define @t116 () (@var "X4" $$unsorted)) % 29.01/29.20 (define @t117 () (tptp.multiply @t116 tptp.sk_c10)) % 29.01/29.20 (define @t118 () (not (= @t117 tptp.sk_c11))) % 29.01/29.20 (define @t119 () (tptp.inverse @t116)) % 29.01/29.20 (define @t120 () (not (= @t119 tptp.sk_c11))) % 29.01/29.20 (define @t121 () (not @t13)) % 29.01/29.20 (define @t122 () (or @t121 @t120 @t118 @t115 @t113 @t110 @t107 @t105 @t102 @t100 @t97 @t95 @t92 @t90 @t87)) % 29.01/29.20 (define @t123 () (@list @t116 @t111 @t108 @t103 @t98 @t93 @t88 @t85)) % 29.01/29.20 (define @t124 () (forall @t123 @t122)) % 29.01/29.20 (define @t125 () (@list tptp.sk_c10)) % 29.01/29.20 (define @t126 () (= tptp.sk_c11 @t47)) % 29.01/29.20 (define @t127 () (= tptp.sk_c10 @t10)) % 29.01/29.20 (define @t128 () (= tptp.sk_c11 @t15)) % 29.01/29.20 (define @t129 () (= tptp.sk_c9 @t17)) % 29.01/29.20 (define @t130 () (= tptp.sk_c10 @t20)) % 29.01/29.20 (define @t131 () (= tptp.sk_c11 @t23)) % 29.01/29.20 (define @t132 () (= tptp.sk_c11 @t25)) % 29.01/29.20 (define @t133 () (= tptp.sk_c10 @t27)) % 29.01/29.20 (define @t134 () (= tptp.sk_c8 @t30)) % 29.01/29.20 (define @t135 () (= tptp.sk_c10 @t33)) % 29.01/29.20 (define @t136 () (not @t128)) % 29.01/29.20 (define @t137 () (not @t127)) % 29.01/29.20 (define @t138 () (or @t137 @t136)) % 29.01/29.20 (define @t139 () (not @t130)) % 29.01/29.20 (define @t140 () (not @t129)) % 29.01/29.20 (define @t141 () (or @t140 @t139)) % 29.01/29.20 (define @t142 () (tptp.multiply @t30 tptp.sk_c9)) % 29.01/29.20 (define @t143 () (= tptp.sk_c10 @t142)) % 29.01/29.20 (define @t144 () (and @t134 @t135)) % 29.01/29.20 (define @t145 () (tptp.multiply tptp.sk_c7 @t30)) % 29.01/29.20 (define @t146 () (= tptp.sk_c10 @t145)) % 29.01/29.20 (define @t147 () (and @t133 @t134)) % 29.01/29.20 (define @t148 () (not @t143)) % 29.01/29.20 (define @t149 () (not @t146)) % 29.01/29.20 (define @t150 () (or @t149 @t148)) % 29.01/29.20 (define @t151 () (not @t150)) % 29.01/29.20 (define @t152 () (not @t135)) % 29.01/29.20 (define @t153 () (not @t134)) % 29.01/29.20 (define @t154 () (not @t133)) % 29.01/29.20 (define @t155 () (@list false false)) % 29.01/29.20 (define @t156 () (not (= tptp.sk_c11 @t104))) % 29.01/29.20 (define @t157 () (not (= tptp.sk_c10 @t106))) % 29.01/29.20 (define @t158 () (or @t157 @t156)) % 29.01/29.20 (define @t159 () (forall (@list @t103) @t158)) % 29.01/29.20 (define @t160 () (not (= tptp.sk_c10 @t99))) % 29.01/29.20 (define @t161 () (not (= tptp.sk_c9 @t101))) % 29.01/29.20 (define @t162 () (or @t161 @t160)) % 29.01/29.20 (define @t163 () (forall (@list @t98) @t162)) % 29.01/29.20 (define @t164 () (@list tptp.sk_c5)) % 29.01/29.20 (define @t165 () (not (= tptp.sk_c10 (tptp.multiply @t112 tptp.sk_c9)))) % 29.01/29.20 (define @t166 () (not (= tptp.sk_c10 (tptp.multiply @t111 @t112)))) % 29.01/29.20 (define @t167 () (or @t166 @t165)) % 29.01/29.20 (define @t168 () (@list @t111)) % 29.01/29.20 (define @t169 () (forall @t168 @t167)) % 29.01/29.20 (define @t170 () (@list tptp.sk_c7)) % 29.01/29.20 (define @t171 () (not @t132)) % 29.01/29.20 (define @t172 () (not @t131)) % 29.01/29.20 (define @t173 () (or @t172 @t171)) % 29.01/29.20 (define @t174 () (not (= tptp.sk_c11 @t117))) % 29.01/29.20 (define @t175 () (not (= tptp.sk_c11 @t119))) % 29.01/29.20 (define @t176 () (or @t175 @t174)) % 29.01/29.20 (define @t177 () (forall (@list @t116) @t176)) % 29.01/29.20 (define @t178 () (not (= tptp.sk_c10 (tptp.multiply @t89 tptp.sk_c9)))) % 29.01/29.20 (define @t179 () (not (= tptp.sk_c10 (tptp.multiply @t88 @t89)))) % 29.01/29.20 (define @t180 () (or @t179 @t178)) % 29.01/29.20 (define @t181 () (not (= @t89 @t89))) % 29.01/29.20 (define @t182 () (or @t179 @t181 @t178)) % 29.01/29.20 (define @t183 () (@list @t88)) % 29.01/29.20 (define @t184 () (not (= tptp.sk_c10 @t86))) % 29.01/29.20 (define @t185 () (not (= @t85 @t89))) % 29.01/29.20 (define @t186 () (not (= tptp.sk_c10 @t91))) % 29.01/29.20 (define @t187 () (or @t185 @t186 @t185 @t184)) % 29.01/29.20 (define @t188 () (@list @t85)) % 29.01/29.20 (define @t189 () (or @t186 @t185 @t184)) % 29.01/29.20 (define @t190 () (forall @t188 @t189)) % 29.01/29.20 (define @t191 () (forall @t183 @t190)) % 29.01/29.20 (define @t192 () (forall (@list @t88 @t85) @t189)) % 29.01/29.20 (define @t193 () (not (= tptp.sk_c11 @t94))) % 29.01/29.20 (define @t194 () (not (= tptp.sk_c11 @t96))) % 29.01/29.20 (define @t195 () (or @t194 @t193)) % 29.01/29.20 (define @t196 () (forall (@list @t93) @t195)) % 29.01/29.20 (define @t197 () (not (= @t112 @t112))) % 29.01/29.20 (define @t198 () (or @t166 @t197 @t165)) % 29.01/29.20 (define @t199 () (not (= tptp.sk_c10 @t109))) % 29.01/29.20 (define @t200 () (not (= @t108 @t112))) % 29.01/29.20 (define @t201 () (not (= tptp.sk_c10 @t114))) % 29.01/29.20 (define @t202 () (or @t200 @t201 @t200 @t199)) % 29.01/29.20 (define @t203 () (@list @t108)) % 29.01/29.20 (define @t204 () (or @t201 @t200 @t199)) % 29.01/29.20 (define @t205 () (forall @t203 @t204)) % 29.01/29.20 (define @t206 () (forall @t168 @t205)) % 29.01/29.20 (define @t207 () (forall (@list @t111 @t108) @t204)) % 29.01/29.20 (define @t208 () (= tptp.sk_c9 @t12)) % 29.01/29.20 (define @t209 () (not @t208)) % 29.01/29.20 (define @t210 () (or @t209 @t177 @t207 @t159 @t163 @t196 @t192)) % 29.01/29.20 (define @t211 () (or @t209 @t176 @t204 @t158 @t162 @t195 @t189)) % 29.01/29.20 (define @t212 () (or @t209 @t175 @t174 @t201 @t200 @t199 @t157 @t156 @t161 @t160 @t194 @t193 @t186 @t185 @t184)) % 29.01/29.20 (define @t213 () (forall @t183 @t180)) % 29.01/29.20 (define @t214 () (not @t126)) % 29.01/29.20 (define @t215 () (= tptp.sk_c11 @t36)) % 29.01/29.20 (define @t216 () (not @t215)) % 29.01/29.20 (define @t217 () (or @t216 @t214)) % 29.01/29.20 (define @t218 () (@list tptp.sk_c1)) % 29.01/29.20 (define @t219 () (= tptp.sk_c10 @t76)) % 29.01/29.20 (define @t220 () (= tptp.sk_c3 @t67)) % 29.01/29.20 (define @t221 () (@list tptp.sk_c2 tptp.sk_c10 tptp.sk_c10)) % 29.01/29.20 (define @t222 () (tptp.multiply tptp.sk_c10 tptp.sk_c10)) % 29.01/29.20 (define @t223 () (tptp.multiply tptp.sk_c2 @t222)) % 29.01/29.20 (define @t224 () (tptp.multiply tptp.sk_c2 tptp.sk_c10)) % 29.01/29.20 (define @t225 () (tptp.multiply @t224 tptp.sk_c10)) % 29.01/29.20 (define @t226 () (= @t225 @t223)) % 29.01/29.20 (define @t227 () (tptp.multiply tptp.sk_c11 tptp.sk_c10)) % 29.01/29.20 (define @t228 () (tptp.multiply @t227 tptp.sk_c1)) % 29.01/29.20 (define @t229 () (@list tptp.sk_c3 tptp.sk_c9 @t228)) % 29.01/29.20 (define @t230 () (tptp.multiply tptp.sk_c9 @t228)) % 29.01/29.20 (define @t231 () (tptp.multiply tptp.sk_c3 @t230)) % 29.01/29.20 (define @t232 () (= (tptp.multiply @t76 @t228) @t231)) % 29.01/29.20 (define @t233 () (tptp.multiply tptp.sk_c11 tptp.sk_c1)) % 29.01/29.20 (define @t234 () (@list tptp.sk_c2 tptp.sk_c3 @t233)) % 29.01/29.20 (define @t235 () (tptp.multiply @t58 @t233)) % 29.01/29.20 (define @t236 () (= @t235 (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c3 @t233)))) % 29.01/29.20 (define @t237 () (tptp.multiply tptp.sk_c1 tptp.sk_c11)) % 29.01/29.20 (define @t238 () (tptp.inverse tptp.sk_c11)) % 29.01/29.20 (define @t239 () (@list @t238 tptp.sk_c11 @t237)) % 29.01/29.20 (define @t240 () (tptp.multiply tptp.sk_c11 @t237)) % 29.01/29.20 (define @t241 () (tptp.multiply @t238 tptp.sk_c11)) % 29.01/29.20 (define @t242 () (tptp.multiply @t241 @t237)) % 29.01/29.20 (define @t243 () (= @t242 (tptp.multiply @t238 @t240))) % 29.01/29.20 (define @t244 () (@list tptp.sk_c10 @t224 tptp.sk_c10)) % 29.01/29.20 (define @t245 () (tptp.multiply tptp.sk_c10 @t225)) % 29.01/29.20 (define @t246 () (tptp.multiply tptp.sk_c10 @t224)) % 29.01/29.20 (define @t247 () (tptp.multiply @t246 tptp.sk_c10)) % 29.01/29.20 (define @t248 () (= @t247 @t245)) % 29.01/29.20 (define @t249 () (@list tptp.sk_c2 tptp.sk_c3 @t224)) % 29.01/29.20 (define @t250 () (tptp.multiply tptp.sk_c3 @t224)) % 29.01/29.20 (define @t251 () (tptp.multiply tptp.sk_c2 @t250)) % 29.01/29.20 (define @t252 () (tptp.multiply @t58 @t224)) % 29.01/29.20 (define @t253 () (= @t252 @t251)) % 29.01/29.20 (define @t254 () (@list @t67 tptp.sk_c2 tptp.sk_c10)) % 29.01/29.20 (define @t255 () (tptp.multiply @t67 @t224)) % 29.01/29.20 (define @t256 () (tptp.multiply @t67 tptp.sk_c2)) % 29.01/29.20 (define @t257 () (tptp.multiply @t256 tptp.sk_c10)) % 29.01/29.20 (define @t258 () (= @t257 @t255)) % 29.01/29.20 (define @t259 () (@list @t36 tptp.sk_c1 tptp.sk_c10)) % 29.01/29.20 (define @t260 () (tptp.multiply @t36 @t47)) % 29.01/29.20 (define @t261 () (tptp.multiply @t36 tptp.sk_c1)) % 29.01/29.20 (define @t262 () (tptp.multiply @t261 tptp.sk_c10)) % 29.01/29.20 (define @t263 () (= @t262 @t260)) % 29.01/29.20 (define @t264 () (tptp.multiply @t12 @t222)) % 29.01/29.20 (define @t265 () (tptp.multiply @t12 tptp.sk_c10)) % 29.01/29.20 (define @t266 () (tptp.multiply @t265 tptp.sk_c10)) % 29.01/29.20 (define @t267 () (= @t266 @t264)) % 29.01/29.20 (define @t268 () (forall @t3 (= tptp.identity @t5))) % 29.01/29.20 (define @t269 () (@list tptp.sk_c2)) % 29.01/29.20 (define @t270 () (= tptp.identity @t256)) % 29.01/29.20 (define @t271 () (@list tptp.identity tptp.sk_c1 tptp.sk_c11)) % 29.01/29.20 (define @t272 () (tptp.multiply tptp.identity tptp.sk_c1)) % 29.01/29.20 (define @t273 () (tptp.multiply @t272 tptp.sk_c11)) % 29.01/29.20 (define @t274 () (= @t273 (tptp.multiply tptp.identity @t237))) % 29.01/29.20 (define @t275 () (= tptp.identity @t261)) % 29.01/29.20 (define @t276 () (tptp.multiply @t47 tptp.sk_c11)) % 29.01/29.20 (define @t277 () (@list tptp.sk_c11 @t276 tptp.sk_c1)) % 29.01/29.20 (define @t278 () (tptp.multiply @t276 tptp.sk_c1)) % 29.01/29.20 (define @t279 () (tptp.multiply tptp.sk_c11 @t278)) % 29.01/29.20 (define @t280 () (tptp.multiply (tptp.multiply tptp.sk_c11 @t276) tptp.sk_c1)) % 29.01/29.20 (define @t281 () (= @t280 @t279)) % 29.01/29.20 (define @t282 () (@list tptp.sk_c11 tptp.sk_c11 tptp.sk_c1)) % 29.01/29.20 (define @t283 () (tptp.multiply tptp.sk_c11 @t233)) % 29.01/29.20 (define @t284 () (tptp.multiply tptp.sk_c11 tptp.sk_c11)) % 29.01/29.20 (define @t285 () (= (tptp.multiply @t284 tptp.sk_c1) @t283)) % 29.01/29.20 (define @t286 () (@list tptp.sk_c11 tptp.sk_c11 tptp.sk_c11)) % 29.01/29.20 (define @t287 () (tptp.multiply tptp.sk_c11 @t284)) % 29.01/29.20 (define @t288 () (= (tptp.multiply @t284 tptp.sk_c11) @t287)) % 29.01/29.20 (define @t289 () (@list tptp.sk_c11 tptp.sk_c1 tptp.sk_c11)) % 29.01/29.20 (define @t290 () (tptp.multiply @t233 tptp.sk_c11)) % 29.01/29.20 (define @t291 () (= @t290 @t240)) % 29.01/29.20 (define @t292 () (@list @t276 tptp.sk_c11 tptp.sk_c1)) % 29.01/29.20 (define @t293 () (tptp.multiply @t276 tptp.sk_c11)) % 29.01/29.20 (define @t294 () (tptp.multiply @t293 tptp.sk_c1)) % 29.01/29.20 (define @t295 () (= @t294 (tptp.multiply @t276 @t233))) % 29.01/29.20 (define @t296 () (forall @t3 (= @t1 @t2))) % 29.01/29.20 (define @t297 () (= tptp.sk_c1 @t272)) % 29.01/29.20 (define @t298 () (@list tptp.sk_c11)) % 29.01/29.20 (define @t299 () (= tptp.identity @t241)) % 29.01/29.20 (define @t300 () (tptp.multiply tptp.identity tptp.sk_c11)) % 29.01/29.20 (define @t301 () (= tptp.sk_c11 @t300)) % 29.01/29.20 (define @t302 () (= tptp.identity @t265)) % 29.01/29.20 (define @t303 () (tptp.multiply tptp.identity tptp.sk_c10)) % 29.01/29.20 (define @t304 () (= tptp.sk_c10 @t303)) % 29.01/29.20 (define @t305 () (= tptp.sk_c10 @t58)) % 29.01/29.20 (define @t306 () (tptp.multiply tptp.sk_c10 tptp.sk_c1)) % 29.01/29.20 (define @t307 () (tptp.multiply tptp.sk_c10 tptp.sk_c11)) % 29.01/29.20 (define @t308 () (tptp.multiply tptp.sk_c10 tptp.identity)) % 29.01/29.20 (define @t309 () (= tptp.sk_c10 @t237)) % 29.01/29.20 (define @t310 () (and @t208 @t215 @t126 @t305 @t220 @t219 @t304 @t302 @t301 @t299 @t297 @t295 @t291 @t288 @t285 @t281 @t275 @t274 @t270 @t267 @t263 @t258 @t253 @t248 @t243 @t236 @t232 @t226)) % 29.01/29.20 (define @t311 () (not @t226)) % 29.01/29.20 (define @t312 () (not @t232)) % 29.01/29.20 (define @t313 () (not @t236)) % 29.01/29.20 (define @t314 () (not @t243)) % 29.01/29.20 (define @t315 () (not @t248)) % 29.01/29.20 (define @t316 () (not @t253)) % 29.01/29.20 (define @t317 () (not @t258)) % 29.01/29.20 (define @t318 () (not @t263)) % 29.01/29.20 (define @t319 () (not @t267)) % 29.01/29.20 (define @t320 () (not @t270)) % 29.01/29.20 (define @t321 () (not @t274)) % 29.01/29.20 (define @t322 () (not @t275)) % 29.01/29.20 (define @t323 () (not @t281)) % 29.01/29.20 (define @t324 () (not @t285)) % 29.01/29.20 (define @t325 () (not @t288)) % 29.01/29.20 (define @t326 () (not @t291)) % 29.01/29.20 (define @t327 () (not @t295)) % 29.01/29.20 (define @t328 () (not @t297)) % 29.01/29.20 (define @t329 () (not @t299)) % 29.01/29.20 (define @t330 () (not @t301)) % 29.01/29.20 (define @t331 () (not @t302)) % 29.01/29.20 (define @t332 () (not @t304)) % 29.01/29.20 (define @t333 () (not @t219)) % 29.01/29.20 (define @t334 () (not @t220)) % 29.01/29.20 (define @t335 () (not @t305)) % 29.01/29.20 (define @t336 () (not @t309)) % 29.01/29.20 (define @t337 () (or @t336 @t216)) % 29.01/29.20 (define @t338 () (= tptp.sk_c10 (tptp.multiply @t67 tptp.sk_c9))) % 29.01/29.20 (define @t339 () (and @t220 @t219)) % 29.01/29.20 (define @t340 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 @t67))) % 29.01/29.20 (define @t341 () (and @t305 @t220)) % 29.01/29.20 (define @t342 () (not @t338)) % 29.01/29.20 (define @t343 () (not @t340)) % 29.01/29.20 (define @t344 () (or @t343 @t342)) % 29.01/29.20 (define @t345 () (not @t344)) % 29.01/29.20 (define @t346 () (= tptp.sk_c10 (tptp.inverse @t12))) % 29.01/29.20 (define @t347 () (not @t346)) % 29.01/29.20 (define @t348 () (= tptp.sk_c9 @t265)) % 29.01/29.20 (define @t349 () (not @t348)) % 29.01/29.20 (define @t350 () (or @t349 @t347)) % 29.01/29.20 (define @t351 () (= tptp.sk_c10 tptp.sk_c9)) % 29.01/29.20 (define @t352 () (= tptp.identity tptp.sk_c10)) % 29.01/29.20 (define @t353 () (and @t208 @t215 @t126 @t305 @t220 @t219 @t351 @t304 @t302 @t301 @t299 @t297 @t295 @t291 @t288 @t285 @t281 @t275 @t274 @t270 @t267 @t263 @t258 @t253 @t248 @t243 @t236 @t232 @t226)) % 29.01/29.20 (define @t354 () (and @t208 @t351)) % 29.01/29.20 (define @t355 () (not @t351)) % 29.01/29.20 (define @t356 () (tptp.multiply tptp.identity tptp.sk_c9)) % 29.01/29.20 (define @t357 () (= tptp.sk_c9 @t356)) % 29.01/29.20 (define @t358 () (not @t357)) % 29.01/29.20 (define @t359 () (tptp.multiply tptp.sk_c2 @t76)) % 29.01/29.20 (define @t360 () (= (tptp.multiply @t58 tptp.sk_c9) @t359)) % 29.01/29.20 (define @t361 () (not @t360)) % 29.01/29.20 (define @t362 () (= @t276 (tptp.multiply tptp.sk_c1 @t307))) % 29.01/29.20 (define @t363 () (not @t362)) % 29.01/29.20 (define @t364 () (not @t355)) % 29.01/29.20 (define @t365 () (= tptp.sk_c10 @t276)) % 29.01/29.20 (define @t366 () (= false true)) % 29.01/29.20 (define @t367 () (and @t362 @t365 @t352 @t302 @t348 @t355)) % 29.01/29.20 (define @t368 () (@list true)) % 29.01/29.20 (define @t369 () (@list @t208)) % 29.01/29.20 (define @t370 () (tptp.multiply tptp.sk_c8 tptp.sk_c10)) % 29.01/29.20 (define @t371 () (tptp.multiply tptp.sk_c7 @t370)) % 29.01/29.20 (define @t372 () (tptp.multiply @t27 tptp.sk_c10)) % 29.01/29.20 (define @t373 () (= @t372 @t371)) % 29.01/29.20 (define @t374 () (tptp.multiply tptp.sk_c7 tptp.sk_c10)) % 29.01/29.20 (define @t375 () (tptp.multiply @t30 @t374)) % 29.01/29.20 (define @t376 () (tptp.multiply @t30 tptp.sk_c7)) % 29.01/29.20 (define @t377 () (tptp.multiply @t376 tptp.sk_c10)) % 29.01/29.20 (define @t378 () (= @t377 @t375)) % 29.01/29.20 (define @t379 () (= tptp.identity @t376)) % 29.01/29.20 (define @t380 () (@list tptp.sk_c8 tptp.sk_c9 tptp.sk_c10)) % 29.01/29.20 (define @t381 () (tptp.multiply tptp.sk_c9 tptp.sk_c10)) % 29.01/29.20 (define @t382 () (tptp.multiply tptp.sk_c8 @t381)) % 29.01/29.20 (define @t383 () (tptp.multiply @t33 tptp.sk_c10)) % 29.01/29.20 (define @t384 () (= @t383 @t382)) % 29.01/29.20 (define @t385 () (tptp.inverse tptp.identity)) % 29.01/29.20 (define @t386 () (= tptp.sk_c10 @t385)) % 29.01/29.20 (define @t387 () (not @t386)) % 29.01/29.20 (define @t388 () (not @t373)) % 29.01/29.20 (define @t389 () (not @t378)) % 29.01/29.20 (define @t390 () (not @t379)) % 29.01/29.20 (define @t391 () (not @t384)) % 29.01/29.20 (define @t392 () (and @t133 @t134 @t135 @t209 @t351 @t304 @t302 @t267 @t384 @t379 @t378 @t373)) % 29.01/29.20 (define @t393 () (tptp.multiply tptp.identity tptp.sk_c7)) % 29.01/29.20 (define @t394 () (= tptp.sk_c7 @t393)) % 29.01/29.20 (define @t395 () (@list tptp.identity)) % 29.01/29.20 (define @t396 () (tptp.multiply @t385 tptp.identity)) % 29.01/29.20 (define @t397 () (= tptp.identity @t396)) % 29.01/29.20 (define @t398 () (= tptp.sk_c10 tptp.sk_c8)) % 29.01/29.20 (define @t399 () (tptp.multiply @t396 tptp.sk_c7)) % 29.01/29.20 (define @t400 () (and @t133 @t134 @t135 @t351 @t398 @t304 @t302 @t397 @t267 @t384 @t394 @t379 @t378 @t373)) % 29.01/29.20 (define @t401 () (not @t394)) % 29.01/29.20 (define @t402 () (not @t397)) % 29.01/29.20 (define @t403 () (not @t398)) % 29.01/29.20 (define @t404 () (tptp.multiply @t10 tptp.sk_c10)) % 29.01/29.20 (define @t405 () (= tptp.sk_c8 @t404)) % 29.01/29.20 (define @t406 () (not @t405)) % 29.01/29.20 (define @t407 () (= tptp.sk_c10 tptp.sk_c7)) % 29.01/29.20 (define @t408 () (not @t407)) % 29.01/29.20 (define @t409 () (= tptp.sk_c7 @t404)) % 29.01/29.20 (define @t410 () (and @t304 @t407 @t409 @t405 @t403)) % 29.01/29.20 (define @t411 () (tptp.multiply tptp.identity tptp.sk_c8)) % 29.01/29.20 (define @t412 () (= tptp.sk_c8 @t411)) % 29.01/29.20 (define @t413 () (and @t127 @t133 @t134 @t135 @t351 @t407 @t304 @t302 @t267 @t384 @t379 @t378 @t373 @t412)) % 29.01/29.20 (define @t414 () (tptp.multiply @t27 tptp.sk_c7)) % 29.01/29.20 (define @t415 () (= @t414 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) % 29.01/29.20 (define @t416 () (and @t133 @t134 @t135 @t351 @t304 @t302 @t397 @t267 @t384 @t394 @t379 @t378 @t373 @t415)) % 29.01/29.20 (define @t417 () (tptp.multiply @t20 tptp.sk_c5)) % 29.01/29.20 (define @t418 () (tptp.multiply @t417 tptp.sk_c10)) % 29.01/29.20 (define @t419 () (= @t418 (tptp.multiply @t20 @t17))) % 29.01/29.20 (define @t420 () (not @t419)) % 29.01/29.20 (define @t421 () (= tptp.identity @t417)) % 29.01/29.20 (define @t422 () (not @t421)) % 29.01/29.20 (define @t423 () (tptp.multiply @t27 tptp.sk_c9)) % 29.01/29.20 (define @t424 () (= @t423 (tptp.multiply tptp.sk_c7 @t33))) % 29.01/29.20 (define @t425 () (not @t424)) % 29.01/29.20 (define @t426 () (tptp.multiply @t20 tptp.sk_c9)) % 29.01/29.20 (define @t427 () (and @t304 @t352 @t302 @t348 @t355)) % 29.01/29.20 (assume @p1 @t4) % 29.01/29.20 (assume @p2 @t6) % 29.01/29.20 (assume @p3 @t9) % 29.01/29.20 (assume @p4 @t14) % 29.01/29.20 (assume @p5 (or @t13 @t16)) % 29.01/29.20 (assume @p6 @t19) % 29.01/29.20 (assume @p7 @t22) % 29.01/29.20 (assume @p8 (or @t13 @t24)) % 29.01/29.20 (assume @p9 (or @t13 @t26)) % 29.01/29.20 (assume @p10 @t29) % 29.01/29.20 (assume @p11 @t32) % 29.01/29.20 (assume @p12 @t35) % 29.01/29.20 (assume @p13 @t38) % 29.01/29.20 (assume @p14 @t39) % 29.01/29.20 (assume @p15 @t40) % 29.01/29.20 (assume @p16 @t41) % 29.01/29.20 (assume @p17 @t42) % 29.01/29.20 (assume @p18 @t43) % 29.01/29.20 (assume @p19 @t44) % 29.01/29.20 (assume @p20 @t45) % 29.01/29.20 (assume @p21 @t46) % 29.01/29.20 (assume @p22 @t49) % 29.01/29.20 (assume @p23 @t50) % 29.01/29.20 (assume @p24 @t51) % 29.01/29.20 (assume @p25 @t52) % 29.01/29.20 (assume @p26 @t53) % 29.01/29.20 (assume @p27 @t54) % 29.01/29.20 (assume @p28 @t55) % 29.01/29.20 (assume @p29 @t56) % 29.01/29.20 (assume @p30 @t57) % 29.01/29.20 (assume @p31 @t60) % 29.01/29.20 (assume @p32 @t61) % 29.01/29.20 (assume @p33 @t62) % 29.01/29.20 (assume @p34 @t63) % 29.01/29.20 (assume @p35 (or @t59 @t24)) % 29.01/29.20 (assume @p36 (or @t59 @t26)) % 29.01/29.20 (assume @p37 @t64) % 29.01/29.20 (assume @p38 @t65) % 29.01/29.20 (assume @p39 @t66) % 29.01/29.20 (assume @p40 @t69) % 29.01/29.20 (assume @p41 @t70) % 29.01/29.20 (assume @p42 @t71) % 29.01/29.20 (assume @p43 @t72) % 29.01/29.20 (assume @p44 (or @t68 @t24)) % 29.01/29.20 (assume @p45 (or @t68 @t26)) % 29.01/29.20 (assume @p46 @t73) % 29.01/29.20 (assume @p47 @t74) % 29.01/29.20 (assume @p48 @t75) % 29.01/29.20 (assume @p49 @t78) % 29.01/29.20 (assume @p50 @t79) % 29.01/29.20 (assume @p51 @t80) % 29.01/29.20 (assume @p52 @t81) % 29.01/29.20 (assume @p53 (or @t77 @t24)) % 29.01/29.20 (assume @p54 (or @t77 @t26)) % 29.01/29.20 (assume @p55 @t82) % 29.01/29.20 (assume @p56 @t83) % 29.01/29.20 (assume @p57 @t84) % 29.01/29.20 (assume @p58 @t124) % 29.01/29.20 (step @p59 :rule eq-symm :args (@t2 @t1)) % 29.01/29.20 (step @p60 :rule cong :premises (@p59) :args (@t4)) % 29.01/29.20 (step @p61 :rule eq_resolve :premises (@p1 @p60)) % 29.01/29.20 (step @p62 :rule instantiate :premises (@p61) :args (@t125)) % 29.01/29.20 (step @p63 :rule eq-symm :args (@t5 tptp.identity)) % 29.01/29.20 (step @p64 :rule cong :premises (@p63) :args (@t6)) % 29.01/29.20 (step @p65 :rule eq_resolve :premises (@p2 @p64)) % 29.01/29.20 (step @p66 :rule instantiate :premises (@p65) :args (@t125)) % 29.01/29.20 (step @p67 :rule instantiate :premises (@p3) :args ((@list @t12 tptp.sk_c10 tptp.sk_c10))) % 29.01/29.20 (step @p68 :rule instantiate :premises (@p61) :args ((@list tptp.sk_c9))) % 29.01/29.20 (step @p69 :rule eq-symm :args (@t10 tptp.sk_c10)) % 29.01/29.20 (step @p70 :rule eq-symm :args (@t47 tptp.sk_c11)) % 29.01/29.20 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t49)) % 29.01/29.20 (step @p72 :rule eq_resolve :premises (@p22 @p71)) % 29.01/29.20 (step @p73 :rule reordering :premises (@p72) :args ((or @t127 @t126))) % 29.01/29.20 (step @p74 :rule eq-symm :args (@t15 tptp.sk_c11)) % 29.01/29.20 (step @p75 :rule nary_cong :premises (@p70 @p74) :args (@t50)) % 29.01/29.20 (step @p76 :rule eq_resolve :premises (@p23 @p75)) % 29.01/29.20 (step @p77 :rule reordering :premises (@p76) 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nary_cong :premises (@p70 @p90) :args (@t54)) % 29.01/29.20 (step @p92 :rule eq_resolve :premises (@p27 @p91)) % 29.01/29.20 (step @p93 :rule reordering :premises (@p92) :args ((or @t132 @t126))) % 29.01/29.20 (step @p94 :rule eq-symm :args (@t27 tptp.sk_c10)) % 29.01/29.20 (step @p95 :rule nary_cong :premises (@p70 @p94) :args (@t55)) % 29.01/29.20 (step @p96 :rule eq_resolve :premises (@p28 @p95)) % 29.01/29.20 (step @p97 :rule reordering :premises (@p96) :args ((or @t133 @t126))) % 29.01/29.20 (step @p98 :rule eq-symm :args (@t30 tptp.sk_c8)) % 29.01/29.20 (step @p99 :rule nary_cong :premises (@p70 @p98) :args (@t56)) % 29.01/29.20 (step @p100 :rule eq_resolve :premises (@p29 @p99)) % 29.01/29.20 (step @p101 :rule reordering :premises (@p100) :args ((or @t134 @t126))) % 29.01/29.20 (step @p102 :rule eq-symm :args (@t33 tptp.sk_c10)) % 29.01/29.20 (step @p103 :rule nary_cong :premises (@p70 @p102) :args (@t57)) % 29.01/29.20 (step @p104 :rule eq_resolve :premises (@p30 @p103)) % 29.01/29.20 (step @p105 :rule reordering :premises (@p104) :args ((or @t135 @t126))) % 29.01/29.20 (step @p106 :rule cnf_or_pos :args (@t138)) % 29.01/29.20 (step @p107 :rule reordering :premises (@p106) :args ((or @t137 @t136 (not @t138)))) % 29.01/29.20 (step @p108 :rule cnf_or_pos :args (@t141)) % 29.01/29.20 (step @p109 :rule reordering :premises (@p108) :args ((or @t140 @t139 (not @t141)))) % 29.01/29.20 (assume-push @p1976 @t134) % 29.01/29.20 (assume-push @p1977 @t135) % 29.01/29.20 (assume-push @p1978 @t134) % 29.01/29.20 (assume-push @p1979 @t135) % 29.01/29.20 (step @p114 :rule refl :args (tptp.sk_c9)) % 29.01/29.20 (step @p115 :rule cong :premises (@p1976 @p114) :args (@t33)) % 29.01/29.20 (step @p116 :rule trans :premises (@p1977 @p115)) % 29.01/29.20 (step-pop @p1980 :rule scope :premises (@p116)) % 29.01/29.20 (step-pop @p1981 :rule scope :premises (@p1980)) % 29.01/29.20 (step @p117 :rule process_scope :premises (@p1981) :args (@t143)) % 29.01/29.20 (step @p120 :rule 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(@list @t88))) % 29.01/29.20 (step @p165 :rule equiv_elim2 :premises (@p164)) % 29.01/29.20 (step @p166 :rule cnf_or_pos :args (@t173)) % 29.01/29.20 (step @p167 :rule reordering :premises (@p166) :args ((or @t172 @t171 (not @t173)))) % 29.01/29.20 (assume-push @p1998 @t177) % 29.01/29.20 (step @p169 :rule instantiate :premises (@p1998) :args ((@list tptp.sk_c6))) % 29.01/29.20 (step-pop @p1999 :rule scope :premises (@p169)) % 29.01/29.20 (step @p170 :rule process_scope :premises (@p1999) :args (@t173)) % 29.01/29.20 (step @p172 :rule implies_elim :premises (@p170)) % 29.01/29.20 (step @p173 :rule alpha_equiv :args (@t177 (@list @t116) (@list @t93))) % 29.01/29.20 (step @p174 :rule equiv_elim2 :premises (@p173)) % 29.01/29.20 (step @p175 :rule aci_norm :args ((= (or @t179 false @t178) @t180))) % 29.01/29.20 (step @p176 :rule refl :args (@t178)) % 29.01/29.20 (step @p177 :rule evaluate :args ((not true))) % 29.01/29.20 (step @p178 :rule eq-refl :args (@t89)) % 29.01/29.20 (step @p179 :rule cong :premises (@p178) :args (@t181)) % 29.01/29.20 (step @p180 :rule trans :premises (@p179 @p177)) % 29.01/29.20 (step @p181 :rule refl :args (@t179)) % 29.01/29.20 (step @p182 :rule nary_cong :premises (@p181 @p180 @p176) :args (@t182)) % 29.01/29.20 (step @p183 :rule trans :premises (@p182 @p175)) % 29.01/29.20 (step @p184 :rule cong :premises (@p183) :args ((forall @t183 @t182))) % 29.01/29.20 (step @p185 :rule quant-var-elim-eq :args ((= (forall @t188 @t187) @t182))) % 29.01/29.20 (step @p186 :rule aci_norm :args ((= @t189 @t187))) % 29.01/29.20 (step @p187 :rule cong :premises (@p186) :args (@t190)) % 29.01/29.20 (step @p188 :rule trans :premises (@p187 @p185)) % 29.01/29.20 (step @p189 :rule cong :premises (@p188) :args (@t191)) % 29.01/29.20 (step @p190 :rule quant-merge-prenex :args ((= @t191 @t192))) % 29.01/29.20 (step @p191 :rule symm :premises (@p190)) % 29.01/29.20 (step @p192 :rule trans :premises (@p191 @p189)) % 29.01/29.20 (step @p193 :rule trans :premises (@p192 @p184)) % 29.01/29.20 (step @p194 :rule refl :args (@t196)) % 29.01/29.20 (step @p195 :rule refl :args (@t163)) % 29.01/29.20 (step @p196 :rule refl :args (@t159)) % 29.01/29.20 (step @p197 :rule aci_norm :args ((= (or @t166 false @t165) @t167))) % 29.01/29.20 (step @p198 :rule refl :args (@t165)) % 29.01/29.20 (step @p199 :rule eq-refl :args (@t112)) % 29.01/29.20 (step @p200 :rule cong :premises (@p199) :args (@t197)) % 29.01/29.20 (step @p201 :rule trans :premises (@p200 @p177)) % 29.01/29.20 (step @p202 :rule refl :args (@t166)) % 29.01/29.20 (step @p203 :rule nary_cong :premises (@p202 @p201 @p198) :args (@t198)) % 29.01/29.20 (step @p204 :rule trans :premises (@p203 @p197)) % 29.01/29.20 (step @p205 :rule cong :premises (@p204) :args ((forall @t168 @t198))) % 29.01/29.20 (step @p206 :rule quant-var-elim-eq :args ((= (forall @t203 @t202) @t198))) % 29.01/29.20 (step @p207 :rule aci_norm :args ((= @t204 @t202))) % 29.01/29.20 (step @p208 :rule cong :premises (@p207) :args 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(step @p223 :rule eq-symm :args (@t86 tptp.sk_c10)) % 29.01/29.20 (step @p224 :rule cong :premises (@p223) :args (@t87)) % 29.01/29.20 (step @p225 :rule eq-symm :args (@t89 @t85)) % 29.01/29.20 (step @p226 :rule cong :premises (@p225) :args (@t90)) % 29.01/29.20 (step @p227 :rule eq-symm :args (@t91 tptp.sk_c10)) % 29.01/29.20 (step @p228 :rule cong :premises (@p227) :args (@t92)) % 29.01/29.20 (step @p229 :rule eq-symm :args (@t94 tptp.sk_c11)) % 29.01/29.20 (step @p230 :rule cong :premises (@p229) :args (@t95)) % 29.01/29.20 (step @p231 :rule eq-symm :args (@t96 tptp.sk_c11)) % 29.01/29.20 (step @p232 :rule cong :premises (@p231) :args (@t97)) % 29.01/29.20 (step @p233 :rule eq-symm :args (@t99 tptp.sk_c10)) % 29.01/29.20 (step @p234 :rule cong :premises (@p233) :args (@t100)) % 29.01/29.20 (step @p235 :rule eq-symm :args (@t101 tptp.sk_c9)) % 29.01/29.20 (step @p236 :rule cong :premises (@p235) :args (@t102)) % 29.01/29.20 (step @p237 :rule eq-symm :args (@t104 tptp.sk_c11)) % 29.01/29.20 (step @p238 :rule cong :premises (@p237) :args (@t105)) % 29.01/29.20 (step @p239 :rule eq-symm :args (@t106 tptp.sk_c10)) % 29.01/29.20 (step @p240 :rule cong :premises (@p239) :args (@t107)) % 29.01/29.20 (step @p241 :rule eq-symm :args (@t109 tptp.sk_c10)) % 29.01/29.20 (step @p242 :rule cong :premises (@p241) :args (@t110)) % 29.01/29.20 (step @p243 :rule eq-symm :args (@t112 @t108)) % 29.01/29.20 (step @p244 :rule cong :premises (@p243) :args (@t113)) % 29.01/29.20 (step @p245 :rule eq-symm :args (@t114 tptp.sk_c10)) % 29.01/29.20 (step @p246 :rule cong :premises (@p245) :args (@t115)) % 29.01/29.20 (step @p247 :rule eq-symm :args (@t117 tptp.sk_c11)) % 29.01/29.20 (step @p248 :rule cong :premises (@p247) :args (@t118)) % 29.01/29.20 (step @p249 :rule eq-symm :args (@t119 tptp.sk_c11)) % 29.01/29.20 (step @p250 :rule cong :premises (@p249) :args (@t120)) % 29.01/29.20 (step @p251 :rule eq-symm :args (@t12 tptp.sk_c9)) % 29.01/29.20 (step @p252 :rule cong :premises (@p251) :args (@t121)) % 29.01/29.20 (step @p253 :rule nary_cong :premises (@p252 @p250 @p248 @p246 @p244 @p242 @p240 @p238 @p236 @p234 @p232 @p230 @p228 @p226 @p224) :args (@t122)) % 29.01/29.20 (step @p254 :rule cong :premises (@p253) :args (@t124)) % 29.01/29.20 (step @p255 :rule trans :premises (@p254 @p222)) % 29.01/29.20 (step @p256 :rule eq_resolve :premises (@p58 @p255)) % 29.01/29.20 (step @p257 :rule reordering :premises (@p256) :args ((or @t209 @t177 @t159 @t163 @t196 @t169 @t213))) % 29.01/29.20 (step @p258 :rule chain_m_resolution :premises (@p257 @p174 @p172 @p167 @p165 @p163 @p158 @p153 @p148 @p109 @p107 @p105 @p101 @p97 @p93 @p89 @p85 @p81 @p77 @p73) :args ((or @t126 @t209) (@list true true true true true true true true true true false false false false false false false false false) (@list @t196 @t177 @t173 @t213 @t169 @t163 @t159 @t150 @t141 @t138 @t135 @t134 @t133 @t132 @t131 @t130 @t129 @t128 @t127))) % 29.01/29.20 (step @p259 :rule cnf_or_pos :args (@t217)) % 29.01/29.20 (step @p260 :rule reordering :premises (@p259) :args ((or @t216 @t214 (not @t217)))) % 29.01/29.20 (assume-push @p2000 @t177) % 29.01/29.20 (step @p262 :rule instantiate :premises (@p2000) :args (@t218)) % 29.01/29.20 (step-pop @p2001 :rule scope :premises (@p262)) % 29.01/29.20 (step @p263 :rule process_scope :premises (@p2001) :args (@t217)) % 29.01/29.20 (step @p265 :rule implies_elim :premises (@p263)) % 29.01/29.20 (step @p266 :rule eq-symm :args (@t76 tptp.sk_c10)) % 29.01/29.20 (step @p267 :rule nary_cong :premises (@p266 @p69) :args (@t78)) % 29.01/29.20 (step @p268 :rule eq_resolve :premises (@p49 @p267)) % 29.01/29.20 (step @p269 :rule reordering :premises (@p268) :args ((or @t127 @t219))) % 29.01/29.20 (step @p270 :rule nary_cong :premises (@p266 @p74) :args (@t79)) % 29.01/29.20 (step @p271 :rule eq_resolve :premises (@p50 @p270)) % 29.01/29.20 (step @p272 :rule reordering :premises (@p271) :args ((or @t128 @t219))) % 29.01/29.20 (step @p273 :rule nary_cong 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(step @p1425 :rule process_scope :premises (@p2569) :args (@t397)) % 29.01/29.21 (step @p1427 :rule implies_elim :premises (@p1425)) % 29.01/29.21 (assume-push @p2570 @t133) % 29.01/29.21 (assume-push @p2571 @t134) % 29.01/29.21 (assume-push @p2572 @t135) % 29.01/29.21 (assume-push @p2573 @t351) % 29.01/29.21 (assume-push @p2574 @t398) % 29.01/29.21 (assume-push @p2575 @t304) % 29.01/29.21 (assume-push @p2576 @t302) % 29.01/29.21 (assume-push @p2577 @t397) % 29.01/29.21 (assume-push @p2578 @t267) % 29.01/29.21 (assume-push @p2579 @t384) % 29.01/29.21 (assume-push @p2580 @t394) % 29.01/29.21 (assume-push @p2581 @t379) % 29.01/29.21 (assume-push @p2582 @t378) % 29.01/29.21 (assume-push @p2583 @t373) % 29.01/29.21 (assume-push @p2584 @t302) % 29.01/29.21 (assume-push @p2585 @t304) % 29.01/29.21 (assume-push @p2586 @t379) % 29.01/29.21 (assume-push @p2587 @t378) % 29.01/29.21 (assume-push @p2588 @t134) % 29.01/29.21 (assume-push @p2589 @t135) % 29.01/29.21 (assume-push @p2590 @t351) % 29.01/29.21 (assume-push @p2591 @t373) % 29.01/29.21 (assume-push @p2592 @t133) % 29.01/29.21 (assume-push @p2593 @t384) % 29.01/29.21 (assume-push @p2594 @t267) % 29.01/29.21 (assume-push @p2595 @t398) % 29.01/29.21 (assume-push @p2596 @t397) % 29.01/29.21 (assume-push @p2597 @t394) % 29.01/29.21 (step @p491 :rule symm :premises (@p66)) % 29.01/29.21 (step @p492 :rule symm :premises (@p62)) % 29.01/29.21 (step @p493 :rule refl :args (tptp.sk_c10)) % 29.01/29.21 (step @p1456 :rule symm :premises (@p1306)) % 29.01/29.21 (step @p1457 :rule cong :premises (@p1456 @p493) :args (@t377)) % 29.01/29.21 (step @p1458 :rule symm :premises (@p1307)) % 29.01/29.21 (step @p1459 :rule symm :premises (@p2572)) % 29.01/29.21 (step @p114 :rule refl :args (tptp.sk_c9)) % 29.01/29.21 (step @p1460 :rule symm :premises (@p2571)) % 29.01/29.21 (step @p1461 :rule cong :premises (@p1460 @p114) :args (@t142)) % 29.01/29.21 (step @p1462 :rule cong :premises (@p2571 @p2573) :args (@t370)) % 29.01/29.21 (step 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:rule scope :premises (@p2838)) % 29.01/29.21 (step-pop @p2840 :rule scope :premises (@p2839)) % 29.01/29.21 (step-pop @p2841 :rule scope :premises (@p2840)) % 29.01/29.21 (step-pop @p2842 :rule scope :premises (@p2841)) % 29.01/29.21 (step-pop @p2843 :rule scope :premises (@p2842)) % 29.01/29.21 (step-pop @p2844 :rule scope :premises (@p2843)) % 29.01/29.21 (step-pop @p2845 :rule scope :premises (@p2844)) % 29.01/29.21 (step-pop @p2846 :rule scope :premises (@p2845)) % 29.01/29.21 (step-pop @p2847 :rule scope :premises (@p2846)) % 29.01/29.21 (step-pop @p2848 :rule scope :premises (@p2847)) % 29.01/29.21 (step-pop @p2849 :rule scope :premises (@p2848)) % 29.01/29.21 (step-pop @p2850 :rule scope :premises (@p2849)) % 29.01/29.21 (step-pop @p2851 :rule scope :premises (@p2850)) % 29.01/29.21 (step @p1887 :rule process_scope :premises (@p2851) :args (@t348)) % 29.01/29.21 (step @p1903 :rule and_intro :premises (@p62 @p1803 @p1804 @p2807 @p2806 @p2808 @p1802 @p2810 @p1306 @p1307 @p2809 @p1308 @p67 @p66 @p68)) % 29.01/29.21 (step @p1904 :rule modus_ponens :premises (@p1903 @p1887)) % 29.01/29.21 (assume-push @p2852 @t304) % 29.01/29.21 (assume-push @p2853 @t302) % 29.01/29.21 (assume-push @p2854 @t267) % 29.01/29.21 (assume-push @p2855 @t133) % 29.01/29.21 (assume-push @p2856 @t373) % 29.01/29.21 (assume-push @p2857 @t134) % 29.01/29.21 (assume-push @p2858 @t421) % 29.01/29.21 (assume-push @p2859 @t419) % 29.01/29.21 (assume-push @p2860 @t130) % 29.01/29.21 (assume-push @p2861 @t129) % 29.01/29.21 (assume-push @p2862 @t424) % 29.01/29.21 (assume-push @p2863 @t135) % 29.01/29.21 (assume-push @p2864 @t378) % 29.01/29.21 (assume-push @p2865 @t379) % 29.01/29.21 (step @p492 :rule symm :premises (@p62)) % 29.01/29.21 (step @p493 :rule refl :args (tptp.sk_c10)) % 29.01/29.21 (step @p491 :rule symm :premises (@p66)) % 29.01/29.21 (step @p750 :rule cong :premises (@p491 @p493) :args (@t266)) % 29.01/29.21 (step @p751 :rule symm :premises (@p67)) % 29.01/29.21 (step @p1919 :rule symm :premises (@p2808)) % 29.01/29.21 (step @p1920 :rule cong :premises (@p1919 @p493) :args (@t372)) % 29.01/29.21 (step @p1368 :rule symm :premises (@p1308)) % 29.01/29.21 (step @p1861 :rule symm :premises (@p1803)) % 29.01/29.21 (step @p1862 :rule cong :premises (@p1861 @p493) :args (@t418)) % 29.01/29.21 (step @p1863 :rule symm :premises (@p1804)) % 29.01/29.21 (step @p1864 :rule refl :args (@t20)) % 29.01/29.21 (step @p1921 :rule cong :premises (@p1864 @p2806) :args (@t426)) % 29.01/29.21 (step @p114 :rule refl :args (tptp.sk_c9)) % 29.01/29.21 (step @p1922 :rule trans :premises (@p1919 @p2807)) % 29.01/29.21 (step @p1923 :rule cong :premises (@p1922 @p114) :args (@t423)) % 29.01/29.21 (step @p1869 :rule symm :premises (@p1802)) % 29.01/29.21 (step @p132 :rule refl :args (tptp.sk_c7)) % 29.01/29.21 (step @p1924 :rule cong :premises (@p132 @p2810) :args (@t374)) % 29.01/29.21 (step @p1925 :rule trans :premises (@p1924 @p1869 @p1923 @p1921 @p1863 @p1862 @p492)) % 29.01/29.21 (step @p1926 :rule symm :premises (@p2809)) % 29.01/29.21 (step @p1927 :rule cong :premises (@p1926 @p1925) :args (@t375)) % 29.01/29.21 (step @p1377 :rule cong :premises (@p1306 @p493) :args (@t303)) % 29.01/29.21 (step @p1928 :rule trans :premises (@p62 @p1377 @p1307 @p1927)) % 29.01/29.21 (step @p1929 :rule cong :premises (@p132 @p1928) :args (@t374)) % 29.01/29.21 (step @p1930 :rule symm :premises (@p1924)) % 29.01/29.21 (step @p1931 :rule symm :premises (@p1923)) % 29.01/29.21 (step @p1932 :rule symm :premises (@p1921)) % 29.01/29.21 (step @p1874 :rule symm :premises (@p1862)) % 29.01/29.21 (step @p1933 :rule trans :premises (@p62 @p1874 @p1804 @p1932 @p1931 @p1802 @p1930 @p1929 @p1368 @p1920)) % 29.01/29.21 (step @p561 :rule refl :args (@t12)) % 29.01/29.21 (step @p1934 :rule cong :premises (@p561 @p1933) :args (@t265)) % 29.01/29.21 (step @p1935 :rule trans :premises (@p66 @p1934 @p751 @p750 @p492)) % 29.01/29.21 (step-pop @p2866 :rule scope :premises (@p1935)) % 29.01/29.21 (step-pop @p2867 :rule scope :premises (@p2866)) % 29.01/29.21 (step-pop @p2868 :rule scope :premises (@p2867)) % 29.01/29.21 (step-pop @p2869 :rule scope :premises (@p2868)) % 29.01/29.21 (step-pop @p2870 :rule scope :premises (@p2869)) % 29.01/29.21 (step-pop @p2871 :rule scope :premises (@p2870)) % 29.01/29.21 (step-pop @p2872 :rule scope :premises (@p2871)) % 29.01/29.21 (step-pop @p2873 :rule scope :premises (@p2872)) % 29.01/29.21 (step-pop @p2874 :rule scope :premises (@p2873)) % 29.01/29.21 (step-pop @p2875 :rule scope :premises (@p2874)) % 29.01/29.21 (step-pop @p2876 :rule scope :premises (@p2875)) % 29.01/29.21 (step-pop @p2877 :rule scope :premises (@p2876)) % 29.01/29.21 (step-pop @p2878 :rule scope :premises (@p2877)) % 29.01/29.21 (step-pop @p2879 :rule scope :premises (@p2878)) % 29.01/29.21 (step @p1936 :rule process_scope :premises (@p2879) :args (@t352)) % 29.01/29.21 (step @p1951 :rule and_intro :premises (@p62 @p66 @p67 @p2808 @p1308 @p2809 @p1803 @p1804 @p2807 @p2806 @p1802 @p2810 @p1307 @p1306)) % 29.01/29.21 (step @p1952 :rule modus_ponens :premises (@p1951 @p1936)) % 29.01/29.21 (step @p1953 :rule and_intro :premises (@p62 @p1952 @p66 @p1904 @p2811)) % 29.01/29.21 (step-pop @p2880 :rule scope :premises (@p1953)) % 29.01/29.21 (step-pop @p2881 :rule scope :premises (@p2880)) % 29.01/29.21 (step-pop @p2882 :rule scope :premises (@p2881)) % 29.01/29.21 (step-pop @p2883 :rule scope :premises (@p2882)) % 29.01/29.21 (step-pop @p2884 :rule scope :premises (@p2883)) % 29.01/29.21 (step-pop @p2885 :rule scope :premises (@p2884)) % 29.01/29.21 (step-pop @p2886 :rule scope :premises (@p2885)) % 29.01/29.21 (step-pop @p2887 :rule scope :premises (@p2886)) % 29.01/29.21 (step-pop @p2888 :rule scope :premises (@p2887)) % 29.01/29.21 (step-pop @p2889 :rule scope :premises (@p2888)) % 29.01/29.21 (step-pop @p2890 :rule scope :premises (@p2889)) % 29.01/29.21 (step-pop @p2891 :rule scope :premises (@p2890)) % 29.01/29.21 (step-pop @p2892 :rule scope :premises (@p2891)) % 29.01/29.21 (step-pop @p2893 :rule scope :premises (@p2892)) % 29.01/29.21 (step-pop @p2894 :rule scope :premises (@p2893)) % 29.01/29.21 (step-pop @p2895 :rule scope :premises (@p2894)) % 29.01/29.21 (step @p1954 :rule process_scope :premises (@p2895) :args (@t427)) % 29.01/29.21 (step @p1971 :rule implies_elim :premises (@p1954)) % 29.01/29.21 (step @p1972 :rule resolution :premises (@p1971 @p1824) :args (true @t427)) % 29.01/29.21 (step @p1973 :rule not_and :premises (@p1972)) % 29.01/29.21 (step @p1974 :rule eq_resolve :premises (@p1973 @p1810)) % 29.01/29.21 (step @p1975 false :rule chain_m_resolution :premises (@p1974 @p1804 @p1803 @p1802 @p1801 @p1308 @p1307 @p1306 @p1305 @p1302 @p1299 @p1296 @p1293 @p68 @p67 @p66 @p62) :args (false (@list false false false true false false false false false false false false false false false false) (@list @t419 @t421 @t424 @t351 @t373 @t378 @t379 @t135 @t134 @t133 @t130 @t129 @t357 @t267 @t302 @t304))) % 29.01/29.21 ) % 29.01/29.21 % SZS output end Proof % 29.01/29.21 % cvc5 exiting %------------------------------------------------------------------------------