%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP256-1 : 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 : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:20:19 AM UTC 2026 % Result : Unsatisfiable 16.08s 16.41s % Output : Proof 16.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP256-1 : TPTP v9.2.1. Released v2.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n025.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 01:00:01 EDT 2026 % 0.16/0.34 % 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... % 15.99/16.26 --- Run --no-e-matching --full-saturate-quant at 6... % 16.08/16.41 % SZS status Unsatisfiable % 16.08/16.41 % SZS output start Proof % 16.08/16.43 ( % 16.08/16.43 (declare-sort $$unsorted 0) % 16.08/16.43 (declare-const tptp.sk_c6 $$unsorted) % 16.08/16.43 (declare-const tptp.sk_c3 $$unsorted) % 16.08/16.43 (declare-const tptp.sk_c7 $$unsorted) % 16.08/16.43 (declare-const tptp.sk_c8 $$unsorted) % 16.08/16.43 (declare-const tptp.sk_c1 $$unsorted) % 16.08/16.43 (declare-const tptp.sk_c4 $$unsorted) % 16.08/16.43 (declare-const tptp.sk_c2 $$unsorted) % 16.08/16.43 (declare-const tptp.sk_c10 $$unsorted) % 16.08/16.43 (declare-const tptp.sk_c9 $$unsorted) % 16.08/16.43 (declare-const tptp.sk_c5 $$unsorted) % 16.08/16.43 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.08/16.43 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.08/16.43 (declare-const tptp.identity $$unsorted) % 16.08/16.43 (define @t1 () (@var "X" $$unsorted)) % 16.08/16.43 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.08/16.43 (define @t3 () (@list @t1)) % 16.08/16.43 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.08/16.43 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.08/16.43 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.08/16.43 (define @t7 () (@var "Z" $$unsorted)) % 16.08/16.43 (define @t8 () (@var "Y" $$unsorted)) % 16.08/16.43 (define @t9 () (tptp.multiply tptp.sk_c4 tptp.sk_c10)) % 16.08/16.43 (define @t10 () (= @t9 tptp.sk_c9)) % 16.08/16.43 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c10)) % 16.08/16.43 (define @t12 () (= @t11 tptp.sk_c9)) % 16.08/16.43 (define @t13 () (or @t12 @t10)) % 16.08/16.43 (define @t14 () (tptp.inverse tptp.sk_c4)) % 16.08/16.43 (define @t15 () (= @t14 tptp.sk_c10)) % 16.08/16.43 (define @t16 () (or @t12 @t15)) % 16.08/16.43 (define @t17 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 16.08/16.43 (define @t18 () (= @t17 tptp.sk_c9)) % 16.08/16.43 (define @t19 () (tptp.inverse tptp.sk_c5)) % 16.08/16.43 (define @t20 () (= @t19 tptp.sk_c8)) % 16.08/16.43 (define @t21 () (tptp.multiply tptp.sk_c9 tptp.sk_c7)) % 16.08/16.43 (define @t22 () (= @t21 tptp.sk_c8)) % 16.08/16.43 (define @t23 () (tptp.multiply tptp.sk_c6 tptp.sk_c9)) % 16.08/16.43 (define @t24 () (= @t23 tptp.sk_c7)) % 16.08/16.43 (define @t25 () (tptp.inverse tptp.sk_c6)) % 16.08/16.43 (define @t26 () (= @t25 tptp.sk_c9)) % 16.08/16.43 (define @t27 () (tptp.inverse tptp.sk_c1)) % 16.08/16.43 (define @t28 () (= @t27 tptp.sk_c10)) % 16.08/16.43 (define @t29 () (or @t28 @t10)) % 16.08/16.43 (define @t30 () (or @t28 @t15)) % 16.08/16.43 (define @t31 () (tptp.multiply tptp.sk_c2 tptp.sk_c9)) % 16.08/16.43 (define @t32 () (= @t31 tptp.sk_c8)) % 16.08/16.43 (define @t33 () (or @t32 @t18)) % 16.08/16.43 (define @t34 () (or @t32 @t20)) % 16.08/16.43 (define @t35 () (or @t32 @t22)) % 16.08/16.43 (define @t36 () (or @t32 @t24)) % 16.08/16.43 (define @t37 () (or @t32 @t26)) % 16.08/16.43 (define @t38 () (tptp.inverse tptp.sk_c2)) % 16.08/16.43 (define @t39 () (= @t38 tptp.sk_c9)) % 16.08/16.43 (define @t40 () (or @t39 @t18)) % 16.08/16.43 (define @t41 () (or @t39 @t20)) % 16.08/16.43 (define @t42 () (or @t39 @t22)) % 16.08/16.43 (define @t43 () (or @t39 @t24)) % 16.08/16.43 (define @t44 () (or @t39 @t26)) % 16.08/16.43 (define @t45 () (tptp.inverse tptp.sk_c3)) % 16.08/16.43 (define @t46 () (= @t45 tptp.sk_c8)) % 16.08/16.43 (define @t47 () (or @t46 @t18)) % 16.08/16.43 (define @t48 () (or @t46 @t20)) % 16.08/16.43 (define @t49 () (tptp.multiply tptp.sk_c3 tptp.sk_c9)) % 16.08/16.43 (define @t50 () (= @t49 tptp.sk_c8)) % 16.08/16.43 (define @t51 () (or @t50 @t18)) % 16.08/16.43 (define @t52 () (or @t50 @t20)) % 16.08/16.43 (define @t53 () (@var "X7" $$unsorted)) % 16.08/16.43 (define @t54 () (tptp.inverse @t53)) % 16.08/16.43 (define @t55 () (not (= @t54 tptp.sk_c9))) % 16.08/16.43 (define @t56 () (@var "X3" $$unsorted)) % 16.08/16.43 (define @t57 () (tptp.multiply @t53 tptp.sk_c9)) % 16.08/16.43 (define @t58 () (not (= @t57 @t56))) % 16.08/16.43 (define @t59 () (tptp.multiply tptp.sk_c9 @t56)) % 16.08/16.43 (define @t60 () (not (= @t59 tptp.sk_c8))) % 16.08/16.43 (define @t61 () (@var "X2" $$unsorted)) % 16.08/16.43 (define @t62 () (tptp.inverse @t61)) % 16.08/16.43 (define @t63 () (not (= @t62 tptp.sk_c8))) % 16.08/16.43 (define @t64 () (tptp.multiply @t61 tptp.sk_c8)) % 16.08/16.43 (define @t65 () (not (= @t64 tptp.sk_c9))) % 16.08/16.43 (define @t66 () (@var "X1" $$unsorted)) % 16.08/16.43 (define @t67 () (tptp.inverse @t66)) % 16.08/16.43 (define @t68 () (not (= @t67 tptp.sk_c10))) % 16.08/16.43 (define @t69 () (tptp.multiply @t66 tptp.sk_c10)) % 16.08/16.43 (define @t70 () (not (= @t69 tptp.sk_c9))) % 16.08/16.43 (define @t71 () (@var "X6" $$unsorted)) % 16.08/16.43 (define @t72 () (tptp.multiply @t71 tptp.sk_c9)) % 16.08/16.43 (define @t73 () (not (= @t72 tptp.sk_c8))) % 16.08/16.43 (define @t74 () (tptp.inverse @t71)) % 16.08/16.43 (define @t75 () (not (= @t74 tptp.sk_c8))) % 16.08/16.43 (define @t76 () (@var "X5" $$unsorted)) % 16.08/16.43 (define @t77 () (tptp.inverse @t76)) % 16.08/16.43 (define @t78 () (not (= @t77 tptp.sk_c9))) % 16.08/16.43 (define @t79 () (tptp.multiply @t76 tptp.sk_c9)) % 16.08/16.43 (define @t80 () (not (= @t79 tptp.sk_c8))) % 16.08/16.43 (define @t81 () (@var "X4" $$unsorted)) % 16.08/16.43 (define @t82 () (tptp.inverse @t81)) % 16.08/16.43 (define @t83 () (not (= @t82 tptp.sk_c10))) % 16.08/16.43 (define @t84 () (tptp.multiply @t81 tptp.sk_c10)) % 16.08/16.43 (define @t85 () (not (= @t84 tptp.sk_c9))) % 16.08/16.43 (define @t86 () (or @t85 @t83 @t80 @t78 @t75 @t73 @t70 @t68 @t65 @t63 @t60 @t58 @t55)) % 16.08/16.43 (define @t87 () (@list @t81 @t76 @t71 @t66 @t61 @t56 @t53)) % 16.08/16.43 (define @t88 () (forall @t87 @t86)) % 16.08/16.43 (define @t89 () (not (= tptp.sk_c10 @t82))) % 16.08/16.43 (define @t90 () (not (= tptp.sk_c9 @t84))) % 16.08/16.43 (define @t91 () (or @t90 @t89)) % 16.08/16.43 (define @t92 () (forall (@list @t81) @t91)) % 16.08/16.43 (define @t93 () (= tptp.sk_c9 @t38)) % 16.08/16.43 (define @t94 () (= tptp.sk_c9 @t17)) % 16.08/16.43 (define @t95 () (= tptp.sk_c8 @t19)) % 16.08/16.43 (define @t96 () (= tptp.sk_c8 @t21)) % 16.08/16.43 (define @t97 () (= tptp.sk_c7 @t23)) % 16.08/16.43 (define @t98 () (= tptp.sk_c9 @t25)) % 16.08/16.43 (define @t99 () (not @t95)) % 16.08/16.43 (define @t100 () (not @t94)) % 16.08/16.43 (define @t101 () (or @t100 @t99)) % 16.08/16.43 (define @t102 () (not (= tptp.sk_c8 @t62))) % 16.08/16.43 (define @t103 () (not (= tptp.sk_c9 @t64))) % 16.08/16.43 (define @t104 () (or @t103 @t102)) % 16.08/16.43 (define @t105 () (forall (@list @t61) @t104)) % 16.08/16.43 (define @t106 () (@list tptp.sk_c5)) % 16.08/16.43 (define @t107 () (@list tptp.sk_c9)) % 16.08/16.43 (define @t108 () (@list tptp.sk_c6)) % 16.08/16.43 (define @t109 () (tptp.multiply tptp.identity tptp.identity)) % 16.08/16.43 (define @t110 () (= tptp.identity @t109)) % 16.08/16.43 (define @t111 () (tptp.multiply tptp.identity tptp.sk_c9)) % 16.08/16.43 (define @t112 () (= tptp.sk_c9 @t111)) % 16.08/16.43 (define @t113 () (tptp.multiply @t25 tptp.sk_c6)) % 16.08/16.43 (define @t114 () (= tptp.identity @t113)) % 16.08/16.43 (define @t115 () (tptp.multiply @t25 @t23)) % 16.08/16.43 (define @t116 () (tptp.multiply @t113 tptp.sk_c9)) % 16.08/16.43 (define @t117 () (= @t116 @t115)) % 16.08/16.43 (define @t118 () (tptp.multiply @t109 tptp.sk_c9)) % 16.08/16.43 (define @t119 () (tptp.multiply tptp.identity @t111)) % 16.08/16.43 (define @t120 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c5 tptp.sk_c9))) % 16.08/16.43 (define @t121 () (and @t94 @t96 @t97 @t98 @t110 @t112 @t114 @t117)) % 16.08/16.43 (define @t122 () (not @t117)) % 16.08/16.43 (define @t123 () (not @t114)) % 16.08/16.43 (define @t124 () (not @t112)) % 16.08/16.43 (define @t125 () (not @t110)) % 16.08/16.43 (define @t126 () (not @t98)) % 16.08/16.43 (define @t127 () (not @t97)) % 16.08/16.43 (define @t128 () (not @t96)) % 16.08/16.43 (define @t129 () (not @t120)) % 16.08/16.43 (define @t130 () (or @t99 @t129)) % 16.08/16.43 (define @t131 () (not (= tptp.sk_c8 @t72))) % 16.08/16.43 (define @t132 () (not (= tptp.sk_c8 @t74))) % 16.08/16.43 (define @t133 () (or @t132 @t131)) % 16.08/16.43 (define @t134 () (forall (@list @t71) @t133)) % 16.08/16.43 (define @t135 () (@quantifiers_skolemize @t134 0)) % 16.08/16.43 (define @t136 () (= tptp.sk_c8 (tptp.multiply @t135 tptp.sk_c9))) % 16.08/16.43 (define @t137 () (not @t136)) % 16.08/16.43 (define @t138 () (tptp.inverse @t135)) % 16.08/16.43 (define @t139 () (= tptp.sk_c8 @t138)) % 16.08/16.43 (define @t140 () (not @t139)) % 16.08/16.43 (define @t141 () (or @t140 @t137)) % 16.08/16.43 (define @t142 () (not @t141)) % 16.08/16.43 (define @t143 () (not @t134)) % 16.08/16.43 (define @t144 () (= tptp.sk_c8 @t25)) % 16.08/16.43 (define @t145 () (= tptp.sk_c9 @t138)) % 16.08/16.43 (define @t146 () (and @t96 @t97 @t98 @t139 @t110 @t112 @t114 @t117)) % 16.08/16.43 (define @t147 () (not @t145)) % 16.08/16.43 (define @t148 () (or @t137 @t147)) % 16.08/16.43 (define @t149 () (not (= tptp.sk_c9 @t77))) % 16.08/16.43 (define @t150 () (not (= tptp.sk_c8 @t79))) % 16.08/16.43 (define @t151 () (or @t150 @t149)) % 16.08/16.43 (define @t152 () (forall (@list @t76) @t151)) % 16.08/16.43 (define @t153 () (not (= tptp.sk_c9 @t54))) % 16.08/16.43 (define @t154 () (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 @t57)))) % 16.08/16.43 (define @t155 () (or @t154 @t153)) % 16.08/16.43 (define @t156 () (not (= @t57 @t57))) % 16.08/16.43 (define @t157 () (or @t154 @t156 @t153)) % 16.08/16.43 (define @t158 () (@list @t53)) % 16.08/16.43 (define @t159 () (not (= @t56 @t57))) % 16.08/16.43 (define @t160 () (not (= tptp.sk_c8 @t59))) % 16.08/16.43 (define @t161 () (or @t159 @t160 @t159 @t153)) % 16.08/16.43 (define @t162 () (@list @t56)) % 16.08/16.43 (define @t163 () (or @t160 @t159 @t153)) % 16.08/16.43 (define @t164 () (forall @t162 @t163)) % 16.08/16.43 (define @t165 () (forall @t158 @t164)) % 16.08/16.43 (define @t166 () (forall (@list @t53 @t56) @t163)) % 16.08/16.43 (define @t167 () (forall (@list @t56 @t53) @t163)) % 16.08/16.43 (define @t168 () (not (= tptp.sk_c10 @t67))) % 16.08/16.43 (define @t169 () (not (= tptp.sk_c9 @t69))) % 16.08/16.43 (define @t170 () (or @t169 @t168)) % 16.08/16.43 (define @t171 () (forall (@list @t66) @t170)) % 16.08/16.43 (define @t172 () (or @t92 @t152 @t134 @t171 @t105 @t167)) % 16.08/16.43 (define @t173 () (or @t91 @t151 @t133 @t170 @t104 @t163)) % 16.08/16.43 (define @t174 () (or @t90 @t89 @t150 @t149 @t132 @t131 @t169 @t168 @t103 @t102 @t160 @t159 @t153)) % 16.08/16.43 (define @t175 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 @t23))) % 16.08/16.43 (define @t176 () (and @t96 @t97 @t98)) % 16.08/16.43 (define @t177 () (not @t175)) % 16.08/16.43 (define @t178 () (or @t177 @t126)) % 16.08/16.43 (define @t179 () (forall @t158 @t155)) % 16.08/16.43 (define @t180 () (not @t93)) % 16.08/16.43 (define @t181 () (= tptp.sk_c8 @t31)) % 16.08/16.43 (define @t182 () (not @t181)) % 16.08/16.43 (define @t183 () (or @t182 @t180)) % 16.08/16.43 (define @t184 () (@list tptp.sk_c2)) % 16.08/16.43 (define @t185 () (= tptp.sk_c8 @t49)) % 16.08/16.43 (define @t186 () (not @t185)) % 16.08/16.43 (define @t187 () (= tptp.sk_c8 @t45)) % 16.08/16.43 (define @t188 () (not @t187)) % 16.08/16.43 (define @t189 () (or @t188 @t186)) % 16.08/16.43 (define @t190 () (@list tptp.sk_c3)) % 16.08/16.43 (define @t191 () (tptp.inverse tptp.sk_c9)) % 16.08/16.43 (define @t192 () (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) % 16.08/16.43 (define @t193 () (tptp.multiply @t191 tptp.sk_c9)) % 16.08/16.43 (define @t194 () (= tptp.identity @t193)) % 16.08/16.43 (define @t195 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.08/16.43 (define @t196 () (= tptp.sk_c3 @t195)) % 16.08/16.43 (define @t197 () (tptp.multiply @t38 tptp.sk_c2)) % 16.08/16.43 (define @t198 () (= tptp.identity @t197)) % 16.08/16.43 (define @t199 () (tptp.multiply @t38 @t31)) % 16.08/16.43 (define @t200 () (= (tptp.multiply @t197 tptp.sk_c9) @t199)) % 16.08/16.43 (define @t201 () (tptp.multiply tptp.sk_c9 tptp.sk_c8)) % 16.08/16.43 (define @t202 () (tptp.multiply @t191 @t201)) % 16.08/16.43 (define @t203 () (tptp.multiply @t193 tptp.sk_c8)) % 16.08/16.43 (define @t204 () (= @t203 @t202)) % 16.08/16.43 (define @t205 () (tptp.multiply @t45 tptp.sk_c3)) % 16.08/16.43 (define @t206 () (= tptp.identity @t205)) % 16.08/16.43 (define @t207 () (tptp.multiply tptp.sk_c3 @t201)) % 16.08/16.43 (define @t208 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c8))) % 16.08/16.43 (define @t209 () (and @t181 @t93 @t187 @t185 @t110 @t192 @t112 @t194 @t196 @t198 @t200 @t204 @t206)) % 16.08/16.43 (define @t210 () (not @t206)) % 16.08/16.43 (define @t211 () (not @t204)) % 16.08/16.43 (define @t212 () (not @t200)) % 16.08/16.43 (define @t213 () (not @t198)) % 16.08/16.43 (define @t214 () (not @t196)) % 16.08/16.43 (define @t215 () (not @t194)) % 16.08/16.43 (define @t216 () (not @t192)) % 16.08/16.43 (define @t217 () (not @t208)) % 16.08/16.43 (define @t218 () (or @t217 @t188)) % 16.08/16.43 (define @t219 () (tptp.multiply tptp.sk_c9 @t31)) % 16.08/16.43 (define @t220 () (= tptp.sk_c8 @t219)) % 16.08/16.43 (define @t221 () (not @t220)) % 16.08/16.43 (define @t222 () (or @t221 @t180)) % 16.08/16.43 (define @t223 () (tptp.multiply @t19 tptp.sk_c5)) % 16.08/16.43 (define @t224 () (= tptp.identity @t223)) % 16.08/16.43 (define @t225 () (not @t224)) % 16.08/16.43 (define @t226 () (tptp.multiply tptp.identity tptp.sk_c5)) % 16.08/16.43 (define @t227 () (= tptp.sk_c5 @t226)) % 16.08/16.43 (define @t228 () (not @t227)) % 16.08/16.43 (define @t229 () (tptp.multiply @t109 tptp.sk_c5)) % 16.08/16.43 (define @t230 () (tptp.multiply tptp.identity @t226)) % 16.08/16.43 (define @t231 () (and @t221 @t220)) % 16.08/16.43 (define @t232 () (and @t94 @t95 @t181 @t93 @t110 @t192 @t112 @t194 @t227 @t224 @t198 @t200 @t204)) % 16.08/16.43 (define @t233 () (= tptp.sk_c10 @t14)) % 16.08/16.43 (define @t234 () (not @t233)) % 16.08/16.43 (define @t235 () (= tptp.sk_c9 @t9)) % 16.08/16.43 (define @t236 () (not @t235)) % 16.08/16.43 (define @t237 () (or @t236 @t234)) % 16.08/16.43 (define @t238 () (@list false)) % 16.08/16.43 (define @t239 () (@list @t92)) % 16.08/16.43 (define @t240 () (= tptp.sk_c10 @t27)) % 16.08/16.43 (define @t241 () (not @t240)) % 16.08/16.43 (define @t242 () (= tptp.sk_c9 @t11)) % 16.08/16.43 (define @t243 () (not @t242)) % 16.08/16.43 (define @t244 () (or @t243 @t241)) % 16.08/16.43 (define @t245 () (@list false false false)) % 16.08/16.43 (define @t246 () (@list true)) % 16.08/16.43 (define @t247 () (@list @t242)) % 16.08/16.43 (assume @p1 @t4) % 16.08/16.43 (assume @p2 @t6) % 16.08/16.43 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.08/16.43 (assume @p4 @t13) % 16.08/16.43 (assume @p5 @t16) % 16.08/16.43 (assume @p6 (or @t12 @t18)) % 16.08/16.43 (assume @p7 (or @t12 @t20)) % 16.08/16.43 (assume @p8 (or @t12 @t22)) % 16.08/16.43 (assume @p9 (or @t12 @t24)) % 16.08/16.43 (assume @p10 (or @t12 @t26)) % 16.08/16.43 (assume @p11 @t29) % 16.08/16.43 (assume @p12 @t30) % 16.08/16.43 (assume @p13 (or @t28 @t18)) % 16.08/16.43 (assume @p14 (or @t28 @t20)) % 16.08/16.43 (assume @p15 (or @t28 @t22)) % 16.08/16.43 (assume @p16 (or @t28 @t24)) % 16.08/16.43 (assume @p17 (or @t28 @t26)) % 16.08/16.43 (assume @p18 (or @t32 @t10)) % 16.08/16.43 (assume @p19 (or @t32 @t15)) % 16.08/16.43 (assume @p20 @t33) % 16.08/16.43 (assume @p21 @t34) % 16.08/16.43 (assume @p22 @t35) % 16.08/16.43 (assume @p23 @t36) % 16.08/16.43 (assume @p24 @t37) % 16.08/16.43 (assume @p25 (or @t39 @t10)) % 16.08/16.43 (assume @p26 (or @t39 @t15)) % 16.08/16.43 (assume @p27 @t40) % 16.08/16.43 (assume @p28 @t41) % 16.08/16.43 (assume @p29 @t42) % 16.08/16.43 (assume @p30 @t43) % 16.08/16.43 (assume @p31 @t44) % 16.08/16.43 (assume @p32 (or @t46 @t10)) % 16.08/16.43 (assume @p33 (or @t46 @t15)) % 16.08/16.43 (assume @p34 @t47) % 16.08/16.43 (assume @p35 @t48) % 16.08/16.43 (assume @p36 (or @t46 @t22)) % 16.08/16.43 (assume @p37 (or @t46 @t24)) % 16.08/16.43 (assume @p38 (or @t46 @t26)) % 16.08/16.43 (assume @p39 (or @t50 @t10)) % 16.08/16.43 (assume @p40 (or @t50 @t15)) % 16.08/16.43 (assume @p41 @t51) % 16.08/16.43 (assume @p42 @t52) % 16.08/16.43 (assume @p43 (or @t50 @t22)) % 16.08/16.43 (assume @p44 (or @t50 @t24)) % 16.08/16.43 (assume @p45 (or @t50 @t26)) % 16.08/16.43 (assume @p46 @t88) % 16.08/16.43 (step @p47 :rule alpha_equiv :args (@t92 (@list @t81) (@list @t66))) % 16.08/16.43 (step @p48 :rule equiv_elim2 :premises (@p47)) % 16.08/16.43 (step @p49 :rule eq-symm :args (@t17 tptp.sk_c9)) % 16.08/16.43 (step @p50 :rule eq-symm :args (@t38 tptp.sk_c9)) % 16.08/16.43 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t40)) % 16.08/16.43 (step @p52 :rule eq_resolve :premises (@p27 @p51)) % 16.08/16.43 (step @p53 :rule reordering :premises (@p52) :args ((or @t94 @t93))) % 16.08/16.43 (step @p54 :rule eq-symm :args (@t19 tptp.sk_c8)) % 16.08/16.43 (step @p55 :rule nary_cong :premises (@p50 @p54) :args (@t41)) % 16.08/16.43 (step @p56 :rule eq_resolve :premises (@p28 @p55)) % 16.08/16.43 (step @p57 :rule reordering :premises (@p56) :args ((or @t95 @t93))) % 16.08/16.43 (step @p58 :rule eq-symm :args (@t21 tptp.sk_c8)) % 16.08/16.43 (step @p59 :rule nary_cong :premises (@p50 @p58) :args (@t42)) % 16.08/16.43 (step @p60 :rule eq_resolve :premises (@p29 @p59)) % 16.08/16.43 (step @p61 :rule reordering :premises (@p60) :args ((or @t96 @t93))) % 16.08/16.43 (step @p62 :rule eq-symm :args (@t23 tptp.sk_c7)) % 16.08/16.43 (step @p63 :rule nary_cong :premises (@p50 @p62) :args (@t43)) % 16.08/16.43 (step @p64 :rule eq_resolve :premises (@p30 @p63)) % 16.08/16.43 (step @p65 :rule reordering :premises (@p64) :args ((or @t97 @t93))) % 16.08/16.43 (step @p66 :rule eq-symm :args (@t25 tptp.sk_c9)) % 16.08/16.43 (step @p67 :rule nary_cong :premises (@p50 @p66) :args (@t44)) % 16.08/16.43 (step @p68 :rule eq_resolve :premises (@p31 @p67)) % 16.08/16.43 (step @p69 :rule reordering :premises (@p68) :args ((or @t98 @t93))) % 16.08/16.43 (step @p70 :rule cnf_or_pos :args (@t101)) % 16.08/16.43 (step @p71 :rule reordering :premises (@p70) :args ((or @t100 @t99 (not @t101)))) % 16.08/16.43 (assume-push @p889 @t105) % 16.08/16.43 (step @p73 :rule instantiate :premises (@p889) :args (@t106)) % 16.08/16.43 (step-pop @p890 :rule scope :premises (@p73)) % 16.08/16.43 (step @p74 :rule process_scope :premises (@p890) :args (@t101)) % 16.08/16.43 (step @p76 :rule implies_elim :premises (@p74)) % 16.08/16.43 (step @p77 :rule eq-symm :args (@t2 @t1)) % 16.08/16.43 (step @p78 :rule cong :premises (@p77) :args (@t4)) % 16.08/16.43 (step @p79 :rule eq_resolve :premises (@p1 @p78)) % 16.08/16.43 (step @p80 :rule instantiate :premises (@p79) :args ((@list tptp.identity))) % 16.08/16.43 (step @p81 :rule instantiate :premises (@p79) :args (@t107)) % 16.08/16.43 (step @p82 :rule eq-symm :args (@t5 tptp.identity)) % 16.08/16.43 (step @p83 :rule cong :premises (@p82) :args (@t6)) % 16.08/16.43 (step @p84 :rule eq_resolve :premises (@p2 @p83)) % 16.08/16.43 (step @p85 :rule instantiate :premises (@p84) :args (@t108)) % 16.08/16.43 (step @p86 :rule instantiate :premises (@p3) :args ((@list @t25 tptp.sk_c6 tptp.sk_c9))) % 16.08/16.43 (assume-push @p891 @t94) % 16.08/16.43 (assume-push @p892 @t96) % 16.08/16.43 (assume-push @p893 @t97) % 16.08/16.43 (assume-push @p894 @t98) % 16.08/16.43 (assume-push @p895 @t110) % 16.08/16.43 (assume-push @p896 @t112) % 16.08/16.43 (assume-push @p897 @t114) % 16.08/16.43 (assume-push @p898 @t117) % 16.08/16.43 (assume-push @p899 @t112) % 16.08/16.43 (assume-push @p900 @t110) % 16.08/16.43 (assume-push @p901 @t114) % 16.08/16.43 (assume-push @p902 @t117) % 16.08/16.43 (assume-push @p903 @t98) % 16.08/16.43 (assume-push @p904 @t97) % 16.08/16.43 (assume-push @p905 @t96) % 16.08/16.43 (assume-push @p906 @t94) % 16.08/16.43 (step @p103 :rule symm :premises (@p81)) % 16.08/16.43 (step @p104 :rule refl :args (tptp.sk_c9)) % 16.08/16.43 (step @p105 :rule symm :premises (@p80)) % 16.08/16.43 (step @p106 :rule cong :premises (@p105 @p104) :args (@t118)) % 16.08/16.43 (step @p107 :rule cong :premises (@p80 @p103) :args (@t119)) % 16.08/16.43 (step @p108 :rule symm :premises (@p85)) % 16.08/16.43 (step @p109 :rule cong :premises (@p108 @p81) :args (@t116)) % 16.08/16.43 (step @p110 :rule symm :premises (@p86)) % 16.08/16.43 (step @p111 :rule cong :premises (@p894 @p893) :args (@t21)) % 16.08/16.43 (step @p112 :rule trans :premises (@p892 @p111 @p110 @p109 @p107 @p106 @p103)) % 16.08/16.43 (step @p113 :rule refl :args (tptp.sk_c5)) % 16.08/16.43 (step @p114 :rule cong :premises (@p113 @p112) :args (@t17)) % 16.08/16.43 (step @p115 :rule trans :premises (@p892 @p111 @p110 @p109 @p107 @p106 @p103 @p891 @p114)) % 16.08/16.43 (step-pop @p907 :rule scope :premises (@p115)) % 16.08/16.43 (step-pop @p908 :rule scope :premises (@p907)) % 16.08/16.43 (step-pop @p909 :rule scope :premises (@p908)) % 16.08/16.43 (step-pop @p910 :rule scope :premises (@p909)) % 16.08/16.43 (step-pop @p911 :rule scope :premises (@p910)) % 16.08/16.43 (step-pop @p912 :rule scope :premises (@p911)) % 16.08/16.43 (step-pop @p913 :rule scope :premises (@p912)) % 16.08/16.43 (step-pop @p914 :rule scope :premises (@p913)) % 16.08/16.43 (step @p116 :rule process_scope :premises (@p914) :args (@t120)) % 16.08/16.43 (step @p125 :rule and_intro :premises (@p81 @p80 @p85 @p86 @p894 @p893 @p892 @p891)) % 16.08/16.43 (step @p126 :rule modus_ponens :premises (@p125 @p116)) % 16.08/16.43 (step-pop @p915 :rule scope :premises (@p126)) % 16.08/16.43 (step-pop @p916 :rule scope :premises (@p915)) % 16.08/16.43 (step-pop @p917 :rule scope :premises (@p916)) % 16.08/16.43 (step-pop @p918 :rule scope :premises (@p917)) % 16.08/16.43 (step-pop @p919 :rule scope :premises (@p918)) % 16.08/16.43 (step-pop @p920 :rule scope :premises (@p919)) % 16.08/16.43 (step-pop @p921 :rule scope :premises (@p920)) % 16.08/16.43 (step-pop @p922 :rule scope :premises (@p921)) % 16.08/16.43 (step @p127 :rule process_scope :premises (@p922) :args (@t120)) % 16.08/16.43 (step @p136 :rule implies_elim :premises (@p127)) % 16.08/16.43 (step @p137 :rule cnf_and_neg :args (@t121)) % 16.08/16.43 (step @p138 :rule resolution :premises (@p137 @p136) :args (true @t121)) % 16.08/16.43 (step @p139 :rule reordering :premises (@p138) :args ((or @t100 @t128 @t127 @t126 @t125 @t124 @t123 @t120 @t122))) % 16.08/16.43 (step @p140 :rule cnf_or_pos :args (@t130)) % 16.08/16.43 (step @p141 :rule reordering :premises (@p140) :args ((or @t99 @t129 (not @t130)))) % 16.08/16.43 (assume-push @p923 @t134) % 16.08/16.43 (step @p143 :rule instantiate :premises (@p923) :args (@t106)) % 16.08/16.43 (step-pop @p924 :rule scope :premises (@p143)) % 16.08/16.43 (step @p144 :rule process_scope :premises (@p924) :args (@t130)) % 16.08/16.43 (step @p146 :rule implies_elim :premises (@p144)) % 16.08/16.43 (step @p147 :rule refl :args (@t142)) % 16.08/16.43 (step @p148 :rule bool-double-not-elim :args (@t134)) % 16.08/16.43 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or (not @t143) @t142))) % 16.08/16.43 (assume-push @p925 @t143) % 16.08/16.43 (step @p151 :rule skolemize :premises (@p925)) % 16.08/16.43 (step-pop @p926 :rule scope :premises (@p151)) % 16.08/16.43 (step @p152 :rule process_scope :premises (@p926) :args (@t142)) % 16.08/16.43 (step @p154 :rule implies_elim :premises (@p152)) % 16.08/16.43 (step @p155 :rule eq_resolve :premises (@p154 @p149)) % 16.08/16.43 (step @p156 :rule bool-double-not-elim :args (@t139)) % 16.08/16.43 (step @p157 :rule refl :args (@t141)) % 16.08/16.43 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t141 (not @t140)))) % 16.08/16.43 (step @p159 :rule cnf_or_neg :args (@t141 0)) % 16.08/16.43 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 16.08/16.43 (step @p161 :rule reordering :premises (@p160) :args ((or @t139 @t141))) % 16.08/16.43 (step @p162 :rule bool-double-not-elim :args (@t136)) % 16.08/16.43 (step @p163 :rule nary_cong :premises (@p157 @p162) :args ((or @t141 (not @t137)))) % 16.08/16.43 (step @p164 :rule cnf_or_neg :args (@t141 1)) % 16.08/16.43 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 16.08/16.43 (step @p166 :rule reordering :premises (@p165) :args ((or @t136 @t141))) % 16.08/16.43 (assume-push @p927 @t96) % 16.08/16.43 (assume-push @p928 @t97) % 16.08/16.43 (assume-push @p929 @t98) % 16.08/16.43 (assume-push @p930 @t139) % 16.08/16.43 (assume-push @p931 @t110) % 16.08/16.43 (assume-push @p932 @t112) % 16.08/16.43 (assume-push @p933 @t114) % 16.08/16.43 (assume-push @p934 @t117) % 16.08/16.43 (assume-push @p935 @t139) % 16.08/16.43 (assume-push @p936 @t144) % 16.08/16.43 (assume-push @p937 @t98) % 16.08/16.43 (step @p178 :rule symm :premises (@p936)) % 16.08/16.43 (step @p179 :rule trans :premises (@p929 @p178 @p930)) % 16.08/16.43 (step-pop @p938 :rule scope :premises (@p179)) % 16.08/16.43 (step-pop @p939 :rule scope :premises (@p938)) % 16.08/16.43 (step-pop @p940 :rule scope :premises (@p939)) % 16.08/16.43 (step @p180 :rule process_scope :premises (@p940) :args (@t145)) % 16.08/16.43 (assume-push @p941 @t98) % 16.08/16.43 (assume-push @p942 @t112) % 16.08/16.43 (assume-push @p943 @t110) % 16.08/16.43 (assume-push @p944 @t114) % 16.08/16.43 (assume-push @p945 @t117) % 16.08/16.43 (assume-push @p946 @t97) % 16.08/16.43 (assume-push @p947 @t96) % 16.08/16.43 (step @p103 :rule symm :premises (@p81)) % 16.08/16.43 (step @p104 :rule refl :args (tptp.sk_c9)) % 16.08/16.43 (step @p105 :rule symm :premises (@p80)) % 16.08/16.43 (step @p106 :rule cong :premises (@p105 @p104) :args (@t118)) % 16.08/16.43 (step @p107 :rule cong :premises (@p80 @p103) :args (@t119)) % 16.08/16.43 (step @p108 :rule symm :premises (@p85)) % 16.08/16.43 (step @p109 :rule cong :premises (@p108 @p81) :args (@t116)) % 16.08/16.43 (step @p110 :rule symm :premises (@p86)) % 16.08/16.43 (step @p191 :rule cong :premises (@p929 @p928) :args (@t21)) % 16.08/16.43 (step @p192 :rule trans :premises (@p927 @p191 @p110 @p109 @p107 @p106 @p103 @p929)) % 16.08/16.43 (step-pop @p948 :rule scope :premises (@p192)) % 16.08/16.43 (step-pop @p949 :rule scope :premises (@p948)) % 16.08/16.43 (step-pop @p950 :rule scope :premises (@p949)) % 16.08/16.43 (step-pop @p951 :rule scope :premises (@p950)) % 16.08/16.43 (step-pop @p952 :rule scope :premises (@p951)) % 16.08/16.43 (step-pop @p953 :rule scope :premises (@p952)) % 16.08/16.43 (step-pop @p954 :rule scope :premises (@p953)) % 16.08/16.43 (step @p193 :rule process_scope :premises (@p954) :args (@t144)) % 16.08/16.43 (step @p201 :rule and_intro :premises (@p929 @p81 @p80 @p85 @p86 @p928 @p927)) % 16.08/16.43 (step @p202 :rule modus_ponens :premises (@p201 @p193)) % 16.08/16.43 (step @p203 :rule and_intro :premises (@p930 @p202 @p929)) % 16.08/16.43 (step @p204 :rule modus_ponens :premises (@p203 @p180)) % 16.08/16.43 (step-pop @p955 :rule scope :premises (@p204)) % 16.08/16.43 (step-pop @p956 :rule scope :premises (@p955)) % 16.08/16.43 (step-pop @p957 :rule scope :premises (@p956)) % 16.08/16.43 (step-pop @p958 :rule scope :premises (@p957)) % 16.08/16.43 (step-pop @p959 :rule scope :premises (@p958)) % 16.08/16.43 (step-pop @p960 :rule scope :premises (@p959)) % 16.08/16.43 (step-pop @p961 :rule scope :premises (@p960)) % 16.08/16.43 (step-pop @p962 :rule scope :premises (@p961)) % 16.08/16.43 (step @p205 :rule process_scope :premises (@p962) :args (@t145)) % 16.08/16.43 (step @p214 :rule implies_elim :premises (@p205)) % 16.08/16.43 (step @p215 :rule cnf_and_neg :args (@t146)) % 16.08/16.43 (step @p216 :rule resolution :premises (@p215 @p214) :args (true @t146)) % 16.08/16.43 (step @p217 :rule reordering :premises (@p216) :args ((or @t128 @t127 @t126 @t140 @t125 @t124 @t123 @t145 @t122))) % 16.08/16.43 (step @p218 :rule cnf_or_pos :args (@t148)) % 16.08/16.43 (step @p219 :rule reordering :premises (@p218) :args ((or @t137 @t147 (not @t148)))) % 16.08/16.43 (assume-push @p963 @t152) % 16.08/16.43 (step @p221 :rule instantiate :premises (@p963) :args ((@list @t135))) % 16.08/16.43 (step-pop @p964 :rule scope :premises (@p221)) % 16.08/16.43 (step @p222 :rule process_scope :premises (@p964) :args (@t148)) % 16.08/16.43 (step @p224 :rule implies_elim :premises (@p222)) % 16.08/16.43 (step @p225 :rule aci_norm :args ((= (or @t154 false @t153) @t155))) % 16.08/16.43 (step @p226 :rule refl :args (@t153)) % 16.08/16.43 (step @p227 :rule evaluate :args ((not true))) % 16.08/16.43 (step @p228 :rule eq-refl :args (@t57)) % 16.08/16.43 (step @p229 :rule cong :premises (@p228) :args (@t156)) % 16.08/16.43 (step @p230 :rule trans :premises (@p229 @p227)) % 16.08/16.43 (step @p231 :rule refl :args (@t154)) % 16.08/16.43 (step @p232 :rule nary_cong :premises (@p231 @p230 @p226) :args (@t157)) % 16.08/16.43 (step @p233 :rule trans :premises (@p232 @p225)) % 16.08/16.43 (step @p234 :rule cong :premises (@p233) :args ((forall @t158 @t157))) % 16.08/16.43 (step @p235 :rule quant-var-elim-eq :args ((= (forall @t162 @t161) @t157))) % 16.08/16.43 (step @p236 :rule aci_norm :args ((= @t163 @t161))) % 16.08/16.43 (step @p237 :rule cong :premises (@p236) :args (@t164)) % 16.08/16.43 (step @p238 :rule trans :premises (@p237 @p235)) % 16.08/16.43 (step @p239 :rule cong :premises (@p238) :args (@t165)) % 16.08/16.43 (step @p240 :rule quant-merge-prenex :args ((= @t165 @t166))) % 16.08/16.43 (step @p241 :rule symm :premises (@p240)) % 16.08/16.43 (step @p242 :rule quant_var_reordering :args ((= @t167 @t166))) % 16.08/16.43 (step @p243 :rule trans :premises (@p242 @p241 @p239)) % 16.08/16.43 (step @p244 :rule trans :premises (@p243 @p234)) % 16.08/16.43 (step @p245 :rule refl :args (@t105)) % 16.08/16.43 (step @p246 :rule refl :args (@t171)) % 16.08/16.43 (step @p247 :rule refl :args (@t134)) % 16.08/16.43 (step @p248 :rule refl :args (@t152)) % 16.08/16.43 (step @p249 :rule refl :args (@t92)) % 16.08/16.43 (step @p250 :rule nary_cong :premises (@p249 @p248 @p247 @p246 @p245 @p244) :args (@t172)) % 16.08/16.43 (step @p251 :rule quant-miniscope-or :args ((= (forall @t87 @t173) @t172))) % 16.08/16.43 (step @p252 :rule aci_norm :args ((= @t174 @t173))) % 16.08/16.43 (step @p253 :rule cong :premises (@p252) :args ((forall @t87 @t174))) % 16.08/16.43 (step @p254 :rule trans :premises (@p253 @p251)) % 16.08/16.43 (step @p255 :rule trans :premises (@p254 @p250)) % 16.08/16.43 (step @p256 :rule eq-symm :args (@t54 tptp.sk_c9)) % 16.08/16.43 (step @p257 :rule cong :premises (@p256) :args (@t55)) % 16.08/16.43 (step @p258 :rule eq-symm :args (@t57 @t56)) % 16.08/16.43 (step @p259 :rule cong :premises (@p258) :args (@t58)) % 16.08/16.43 (step @p260 :rule eq-symm :args (@t59 tptp.sk_c8)) % 16.08/16.43 (step @p261 :rule cong :premises (@p260) :args (@t60)) % 16.08/16.43 (step @p262 :rule eq-symm :args (@t62 tptp.sk_c8)) % 16.08/16.43 (step @p263 :rule cong :premises (@p262) :args (@t63)) % 16.08/16.43 (step @p264 :rule eq-symm :args (@t64 tptp.sk_c9)) % 16.08/16.43 (step @p265 :rule cong :premises (@p264) :args (@t65)) % 16.08/16.43 (step @p266 :rule eq-symm :args (@t67 tptp.sk_c10)) % 16.08/16.43 (step @p267 :rule cong :premises (@p266) :args (@t68)) % 16.08/16.43 (step @p268 :rule eq-symm :args (@t69 tptp.sk_c9)) % 16.08/16.43 (step @p269 :rule cong :premises (@p268) :args (@t70)) % 16.08/16.43 (step @p270 :rule eq-symm :args (@t72 tptp.sk_c8)) % 16.08/16.43 (step @p271 :rule cong :premises (@p270) :args (@t73)) % 16.08/16.43 (step @p272 :rule eq-symm :args (@t74 tptp.sk_c8)) % 16.08/16.43 (step @p273 :rule cong :premises (@p272) :args (@t75)) % 16.08/16.43 (step @p274 :rule eq-symm :args (@t77 tptp.sk_c9)) % 16.08/16.43 (step @p275 :rule cong :premises (@p274) :args (@t78)) % 16.08/16.43 (step @p276 :rule eq-symm :args (@t79 tptp.sk_c8)) % 16.08/16.43 (step @p277 :rule cong :premises (@p276) :args (@t80)) % 16.08/16.43 (step @p278 :rule eq-symm :args (@t82 tptp.sk_c10)) % 16.08/16.43 (step @p279 :rule cong :premises (@p278) :args (@t83)) % 16.08/16.43 (step @p280 :rule eq-symm :args (@t84 tptp.sk_c9)) % 16.08/16.43 (step @p281 :rule cong :premises (@p280) :args (@t85)) % 16.08/16.43 (step @p282 :rule nary_cong :premises (@p281 @p279 @p277 @p275 @p273 @p271 @p269 @p267 @p265 @p263 @p261 @p259 @p257) :args (@t86)) % 16.08/16.43 (step @p283 :rule cong :premises (@p282) :args (@t88)) % 16.08/16.43 (step @p284 :rule trans :premises (@p283 @p255)) % 16.08/16.43 (step @p285 :rule eq_resolve :premises (@p46 @p284)) % 16.08/16.43 (assume-push @p965 @t96) % 16.08/16.43 (assume-push @p966 @t97) % 16.08/16.43 (assume-push @p967 @t98) % 16.08/16.43 (assume-push @p968 @t98) % 16.08/16.43 (assume-push @p969 @t97) % 16.08/16.43 (assume-push @p970 @t96) % 16.08/16.43 (step @p292 :rule refl :args (@t23)) % 16.08/16.43 (step @p293 :rule symm :premises (@p967)) % 16.08/16.43 (step @p294 :rule cong :premises (@p293 @p292) :args (@t115)) % 16.08/16.43 (step @p295 :rule cong :premises (@p967 @p966) :args (@t21)) % 16.08/16.43 (step @p296 :rule trans :premises (@p965 @p295 @p294)) % 16.08/16.43 (step-pop @p971 :rule scope :premises (@p296)) % 16.08/16.43 (step-pop @p972 :rule scope :premises (@p971)) % 16.08/16.43 (step-pop @p973 :rule scope :premises (@p972)) % 16.08/16.43 (step @p297 :rule process_scope :premises (@p973) :args (@t175)) % 16.08/16.43 (step @p301 :rule and_intro :premises (@p967 @p966 @p965)) % 16.08/16.43 (step @p302 :rule modus_ponens :premises (@p301 @p297)) % 16.08/16.43 (step-pop @p974 :rule scope :premises (@p302)) % 16.08/16.43 (step-pop @p975 :rule scope :premises (@p974)) % 16.08/16.43 (step-pop @p976 :rule scope :premises (@p975)) % 16.08/16.43 (step @p303 :rule process_scope :premises (@p976) :args (@t175)) % 16.08/16.43 (step @p307 :rule implies_elim :premises (@p303)) % 16.08/16.43 (step @p308 :rule cnf_and_neg :args (@t176)) % 16.08/16.43 (step @p309 :rule resolution :premises (@p308 @p307) :args (true @t176)) % 16.08/16.43 (step @p310 :rule cnf_or_pos :args (@t178)) % 16.08/16.43 (step @p311 :rule reordering :premises (@p310) :args ((or @t126 @t177 (not @t178)))) % 16.08/16.43 (assume-push @p977 @t179) % 16.08/16.43 (step @p313 :rule instantiate :premises (@p977) :args (@t108)) % 16.08/16.43 (step-pop @p978 :rule scope :premises (@p313)) % 16.08/16.43 (step @p314 :rule process_scope :premises (@p978) :args (@t178)) % 16.08/16.43 (step @p316 :rule implies_elim :premises (@p314)) % 16.08/16.43 (step @p317 :rule chain_m_resolution :premises (@p316 @p311 @p309 @p285 @p224 @p219 @p217 @p86 @p85 @p81 @p80 @p166 @p161 @p155 @p146 @p141 @p139 @p86 @p85 @p81 @p80 @p76 @p71 @p69 @p65 @p61 @p57 @p53 @p48) :args ((or @t93 @t92) (@list true false false true true false false false false false false false true true true false false false false false true true false false false false false true) (@list @t178 @t175 @t179 @t152 @t148 @t145 @t117 @t114 @t112 @t110 @t136 @t139 @t141 @t134 @t130 @t120 @t117 @t114 @t112 @t110 @t105 @t101 @t98 @t97 @t96 @t95 @t94 @t171))) % 16.08/16.43 (step @p318 :rule cnf_or_pos :args (@t183)) % 16.08/16.43 (step @p319 :rule reordering :premises (@p318) :args ((or @t182 @t180 (not @t183)))) % 16.08/16.43 (assume-push @p979 @t152) % 16.08/16.43 (step @p321 :rule instantiate :premises (@p979) :args (@t184)) % 16.08/16.43 (step-pop @p980 :rule scope :premises (@p321)) % 16.08/16.43 (step @p322 :rule process_scope :premises (@p980) :args (@t183)) % 16.08/16.43 (step @p324 :rule implies_elim :premises (@p322)) % 16.08/16.43 (step @p325 :rule cnf_or_pos :args (@t189)) % 16.08/16.43 (step @p326 :rule reordering :premises (@p325) :args ((or @t188 @t186 (not @t189)))) % 16.08/16.43 (assume-push @p981 @t134) % 16.08/16.43 (step @p328 :rule instantiate :premises (@p981) :args (@t190)) % 16.08/16.43 (step-pop @p982 :rule scope :premises (@p328)) % 16.08/16.43 (step @p329 :rule process_scope :premises (@p982) :args (@t189)) % 16.08/16.43 (step @p331 :rule implies_elim :premises (@p329)) % 16.08/16.43 (step @p332 :rule instantiate :premises (@p79) :args ((@list tptp.sk_c8))) % 16.08/16.43 (step @p333 :rule instantiate :premises (@p84) :args (@t107)) % 16.08/16.43 (step @p334 :rule instantiate :premises (@p79) :args (@t190)) % 16.08/16.43 (step @p335 :rule instantiate :premises (@p84) :args (@t184)) % 16.08/16.43 (step @p336 :rule instantiate :premises (@p3) :args ((@list @t38 tptp.sk_c2 tptp.sk_c9))) % 16.08/16.43 (step @p337 :rule instantiate :premises (@p3) :args ((@list @t191 tptp.sk_c9 tptp.sk_c8))) % 16.08/16.43 (step @p338 :rule instantiate :premises (@p84) :args (@t190)) % 16.08/16.43 (assume-push @p983 @t181) % 16.08/16.43 (assume-push @p984 @t93) % 16.08/16.43 (assume-push @p985 @t187) % 16.08/16.43 (assume-push @p986 @t185) % 16.08/16.43 (assume-push @p987 @t110) % 16.08/16.43 (assume-push @p988 @t192) % 16.08/16.43 (assume-push @p989 @t112) % 16.08/16.43 (assume-push @p990 @t194) % 16.08/16.43 (assume-push @p991 @t196) % 16.08/16.43 (assume-push @p992 @t198) % 16.08/16.43 (assume-push @p993 @t200) % 16.08/16.43 (assume-push @p994 @t204) % 16.08/16.43 (assume-push @p995 @t206) % 16.08/16.43 (assume-push @p996 @t196) % 16.08/16.43 (assume-push @p997 @t194) % 16.08/16.43 (assume-push @p998 @t112) % 16.08/16.43 (assume-push @p999 @t110) % 16.08/16.43 (assume-push @p1000 @t198) % 16.08/16.43 (assume-push @p1001 @t200) % 16.08/16.43 (assume-push @p1002 @t93) % 16.08/16.43 (assume-push @p1003 @t181) % 16.08/16.43 (assume-push @p1004 @t204) % 16.08/16.43 (assume-push @p1005 @t192) % 16.08/16.43 (assume-push @p1006 @t187) % 16.08/16.43 (assume-push @p1007 @t206) % 16.08/16.43 (assume-push @p1008 @t185) % 16.08/16.43 (step @p365 :rule symm :premises (@p332)) % 16.08/16.43 (step @p366 :rule refl :args (tptp.sk_c8)) % 16.08/16.43 (step @p367 :rule symm :premises (@p333)) % 16.08/16.43 (step @p368 :rule cong :premises (@p367 @p366) :args (@t203)) % 16.08/16.43 (step @p369 :rule symm :premises (@p337)) % 16.08/16.43 (step @p370 :rule symm :premises (@p983)) % 16.08/16.43 (step @p371 :rule symm :premises (@p984)) % 16.08/16.43 (step @p372 :rule cong :premises (@p371 @p370) :args (@t199)) % 16.08/16.43 (step @p103 :rule symm :premises (@p81)) % 16.08/16.43 (step @p373 :rule cong :premises (@p335 @p103) :args (@t119)) % 16.08/16.43 (step @p105 :rule symm :premises (@p80)) % 16.08/16.43 (step @p374 :rule cong :premises (@p105 @p81) :args (@t118)) % 16.08/16.43 (step @p104 :rule refl :args (tptp.sk_c9)) % 16.08/16.43 (step @p375 :rule cong :premises (@p80 @p104) :args (@t111)) % 16.08/16.43 (step @p376 :rule trans :premises (@p81 @p375 @p374 @p373 @p336 @p372)) % 16.08/16.43 (step @p377 :rule refl :args (@t191)) % 16.08/16.43 (step @p378 :rule cong :premises (@p377 @p376) :args (@t193)) % 16.08/16.43 (step @p379 :rule trans :premises (@p333 @p378 @p369 @p368 @p365)) % 16.08/16.43 (step @p380 :rule symm :premises (@p334)) % 16.08/16.43 (step @p381 :rule refl :args (tptp.sk_c3)) % 16.08/16.43 (step @p382 :rule symm :premises (@p378)) % 16.08/16.43 (step @p383 :rule symm :premises (@p368)) % 16.08/16.43 (step @p384 :rule symm :premises (@p985)) % 16.08/16.43 (step @p385 :rule trans :premises (@p384 @p332 @p383 @p337 @p382 @p367)) % 16.08/16.43 (step @p386 :rule cong :premises (@p385 @p381) :args (@t205)) % 16.08/16.43 (step @p387 :rule trans :premises (@p338 @p386 @p380)) % 16.08/16.43 (step @p388 :rule cong :premises (@p387 @p379) :args (@t109)) % 16.08/16.43 (step @p389 :rule symm :premises (@p986)) % 16.08/16.43 (step @p390 :rule symm :premises (@p376)) % 16.08/16.43 (step @p391 :rule cong :premises (@p381 @p390) :args (@t207)) % 16.08/16.43 (step @p392 :rule trans :premises (@p375 @p374 @p373 @p336 @p372)) % 16.08/16.43 (step @p393 :rule cong :premises (@p387 @p392) :args (@t119)) % 16.08/16.43 (step @p394 :rule trans :premises (@p81 @p375 @p374 @p393 @p391 @p389 @p332 @p383 @p337 @p382 @p367 @p80 @p388)) % 16.08/16.43 (step-pop @p1009 :rule scope :premises (@p394)) % 16.08/16.43 (step-pop @p1010 :rule scope :premises (@p1009)) % 16.08/16.43 (step-pop @p1011 :rule scope :premises (@p1010)) % 16.08/16.43 (step-pop @p1012 :rule scope :premises (@p1011)) % 16.08/16.43 (step-pop @p1013 :rule scope :premises (@p1012)) % 16.08/16.43 (step-pop @p1014 :rule scope :premises (@p1013)) % 16.08/16.43 (step-pop @p1015 :rule scope :premises (@p1014)) % 16.08/16.43 (step-pop @p1016 :rule scope :premises (@p1015)) % 16.08/16.43 (step-pop @p1017 :rule scope :premises (@p1016)) % 16.08/16.43 (step-pop @p1018 :rule scope :premises (@p1017)) % 16.08/16.43 (step-pop @p1019 :rule scope :premises (@p1018)) % 16.08/16.43 (step-pop @p1020 :rule scope :premises (@p1019)) % 16.08/16.43 (step-pop @p1021 :rule scope :premises (@p1020)) % 16.08/16.43 (step @p395 :rule process_scope :premises (@p1021) :args (@t208)) % 16.08/16.43 (step @p409 :rule and_intro :premises (@p334 @p333 @p81 @p80 @p335 @p336 @p984 @p983 @p337 @p332 @p985 @p338 @p986)) % 16.08/16.43 (step @p410 :rule modus_ponens :premises (@p409 @p395)) % 16.08/16.43 (step-pop @p1022 :rule scope :premises (@p410)) % 16.08/16.43 (step-pop @p1023 :rule scope :premises (@p1022)) % 16.08/16.43 (step-pop @p1024 :rule scope :premises (@p1023)) % 16.08/16.43 (step-pop @p1025 :rule scope :premises (@p1024)) % 16.08/16.43 (step-pop @p1026 :rule scope :premises (@p1025)) % 16.08/16.43 (step-pop @p1027 :rule scope :premises (@p1026)) % 16.08/16.43 (step-pop @p1028 :rule scope :premises (@p1027)) % 16.08/16.43 (step-pop @p1029 :rule scope :premises (@p1028)) % 16.08/16.43 (step-pop @p1030 :rule scope :premises (@p1029)) % 16.08/16.43 (step-pop @p1031 :rule scope :premises (@p1030)) % 16.08/16.43 (step-pop @p1032 :rule scope :premises (@p1031)) % 16.08/16.43 (step-pop @p1033 :rule scope :premises (@p1032)) % 16.08/16.43 (step-pop @p1034 :rule scope :premises (@p1033)) % 16.08/16.43 (step @p411 :rule process_scope :premises (@p1034) :args (@t208)) % 16.08/16.43 (step @p425 :rule implies_elim :premises (@p411)) % 16.08/16.43 (step @p426 :rule cnf_and_neg :args (@t209)) % 16.08/16.43 (step @p427 :rule resolution :premises (@p426 @p425) :args (true @t209)) % 16.08/16.43 (step @p428 :rule reordering :premises (@p427) :args ((or @t182 @t180 @t188 @t186 @t125 @t216 @t124 @t215 @t208 @t214 @t213 @t212 @t211 @t210))) % 16.08/16.43 (step @p429 :rule cnf_or_pos :args (@t218)) % 16.08/16.43 (step @p430 :rule reordering :premises (@p429) :args ((or @t188 @t217 (not @t218)))) % 16.08/16.43 (assume-push @p1035 @t105) % 16.08/16.43 (step @p432 :rule instantiate :premises (@p1035) :args (@t190)) % 16.08/16.43 (step-pop @p1036 :rule scope :premises (@p432)) % 16.08/16.43 (step @p433 :rule process_scope :premises (@p1036) :args (@t218)) % 16.08/16.43 (step @p435 :rule implies_elim :premises (@p433)) % 16.08/16.43 (assume-push @p1037 @t181) % 16.08/16.43 (assume-push @p1038 @t93) % 16.08/16.43 (assume-push @p1039 @t187) % 16.08/16.43 (assume-push @p1040 @t185) % 16.08/16.43 (assume-push @p1041 @t110) % 16.08/16.43 (assume-push @p1042 @t192) % 16.08/16.43 (assume-push @p1043 @t112) % 16.08/16.43 (assume-push @p1044 @t194) % 16.08/16.43 (assume-push @p1045 @t196) % 16.08/16.43 (assume-push @p1046 @t198) % 16.08/16.43 (assume-push @p1047 @t200) % 16.08/16.43 (assume-push @p1048 @t204) % 16.08/16.43 (assume-push @p1049 @t206) % 16.08/16.43 (assume-push @p1050 @t112) % 16.08/16.43 (assume-push @p1051 @t110) % 16.08/16.43 (assume-push @p1052 @t206) % 16.08/16.43 (assume-push @p1053 @t187) % 16.08/16.43 (assume-push @p1054 @t192) % 16.08/16.43 (assume-push @p1055 @t194) % 16.08/16.43 (assume-push @p1056 @t204) % 16.08/16.43 (assume-push @p1057 @t93) % 16.08/16.43 (assume-push @p1058 @t181) % 16.08/16.43 (assume-push @p1059 @t200) % 16.08/16.43 (assume-push @p1060 @t198) % 16.08/16.43 (assume-push @p1061 @t196) % 16.08/16.43 (assume-push @p1062 @t185) % 16.08/16.43 (step @p365 :rule symm :premises (@p332)) % 16.08/16.43 (step @p366 :rule refl :args (tptp.sk_c8)) % 16.08/16.43 (step @p367 :rule symm :premises (@p333)) % 16.08/16.43 (step @p368 :rule cong :premises (@p367 @p366) :args (@t203)) % 16.08/16.43 (step @p369 :rule symm :premises (@p337)) % 16.08/16.43 (step @p462 :rule symm :premises (@p1037)) % 16.08/16.43 (step @p463 :rule symm :premises (@p1038)) % 16.08/16.43 (step @p464 :rule cong :premises (@p463 @p462) :args (@t199)) % 16.08/16.43 (step @p103 :rule symm :premises (@p81)) % 16.08/16.43 (step @p373 :rule cong :premises (@p335 @p103) :args (@t119)) % 16.08/16.43 (step @p105 :rule symm :premises (@p80)) % 16.08/16.43 (step @p374 :rule cong :premises (@p105 @p81) :args (@t118)) % 16.08/16.43 (step @p104 :rule refl :args (tptp.sk_c9)) % 16.08/16.43 (step @p375 :rule cong :premises (@p80 @p104) :args (@t111)) % 16.08/16.43 (step @p465 :rule trans :premises (@p81 @p375 @p374 @p373 @p336 @p464)) % 16.08/16.43 (step @p377 :rule refl :args (@t191)) % 16.08/16.43 (step @p466 :rule cong :premises (@p377 @p465) :args (@t193)) % 16.08/16.43 (step @p467 :rule trans :premises (@p333 @p466 @p369 @p368 @p365 @p1037)) % 16.08/16.43 (step @p106 :rule cong :premises (@p105 @p104) :args (@t118)) % 16.08/16.43 (step @p107 :rule cong :premises (@p80 @p103) :args (@t119)) % 16.08/16.43 (step @p468 :rule symm :premises (@p373)) % 16.08/16.43 (step @p469 :rule symm :premises (@p336)) % 16.08/16.43 (step @p470 :rule symm :premises (@p464)) % 16.08/16.43 (step @p471 :rule trans :premises (@p470 @p469 @p468 @p107 @p106)) % 16.08/16.43 (step @p472 :rule symm :premises (@p338)) % 16.08/16.43 (step @p381 :rule refl :args (tptp.sk_c3)) % 16.08/16.43 (step @p473 :rule trans :premises (@p333 @p466 @p369 @p368 @p365 @p1039)) % 16.08/16.43 (step @p474 :rule cong :premises (@p473 @p381) :args (@t195)) % 16.08/16.43 (step @p475 :rule trans :premises (@p334 @p474 @p472)) % 16.08/16.43 (step @p476 :rule cong :premises (@p475 @p471) :args (@t207)) % 16.08/16.43 (step @p477 :rule cong :premises (@p381 @p465) :args (@t49)) % 16.08/16.43 (step @p478 :rule trans :premises (@p333 @p466 @p369 @p368 @p365 @p1040 @p477 @p476 @p107 @p106 @p103)) % 16.08/16.43 (step @p479 :rule cong :premises (@p478 @p467) :args (@t109)) % 16.08/16.43 (step @p480 :rule symm :premises (@p466)) % 16.08/16.43 (step @p383 :rule symm :premises (@p368)) % 16.08/16.43 (step @p481 :rule trans :premises (@p332 @p383 @p337 @p480 @p367 @p80 @p479)) % 16.08/16.43 (step-pop @p1063 :rule scope :premises (@p481)) % 16.08/16.43 (step-pop @p1064 :rule scope :premises (@p1063)) % 16.08/16.43 (step-pop @p1065 :rule scope :premises (@p1064)) % 16.08/16.43 (step-pop @p1066 :rule scope :premises (@p1065)) % 16.08/16.43 (step-pop @p1067 :rule scope :premises (@p1066)) % 16.08/16.43 (step-pop @p1068 :rule scope :premises (@p1067)) % 16.08/16.43 (step-pop @p1069 :rule scope :premises (@p1068)) % 16.08/16.43 (step-pop @p1070 :rule scope :premises (@p1069)) % 16.08/16.43 (step-pop @p1071 :rule scope :premises (@p1070)) % 16.08/16.43 (step-pop @p1072 :rule scope :premises (@p1071)) % 16.08/16.43 (step-pop @p1073 :rule scope :premises (@p1072)) % 16.08/16.43 (step-pop @p1074 :rule scope :premises (@p1073)) % 16.08/16.43 (step-pop @p1075 :rule scope :premises (@p1074)) % 16.08/16.43 (step @p482 :rule process_scope :premises (@p1075) :args (@t220)) % 16.08/16.43 (step @p496 :rule and_intro :premises (@p81 @p80 @p338 @p1039 @p332 @p333 @p337 @p1038 @p1037 @p336 @p335 @p334 @p1040)) % 16.08/16.43 (step @p497 :rule modus_ponens :premises (@p496 @p482)) % 16.08/16.43 (step-pop @p1076 :rule scope :premises (@p497)) % 16.08/16.43 (step-pop @p1077 :rule scope :premises (@p1076)) % 16.08/16.43 (step-pop @p1078 :rule scope :premises (@p1077)) % 16.08/16.43 (step-pop @p1079 :rule scope :premises (@p1078)) % 16.08/16.43 (step-pop @p1080 :rule scope :premises (@p1079)) % 16.08/16.43 (step-pop @p1081 :rule scope :premises (@p1080)) % 16.08/16.43 (step-pop @p1082 :rule scope :premises (@p1081)) % 16.08/16.43 (step-pop @p1083 :rule scope :premises (@p1082)) % 16.08/16.43 (step-pop @p1084 :rule scope :premises (@p1083)) % 16.08/16.43 (step-pop @p1085 :rule scope :premises (@p1084)) % 16.08/16.43 (step-pop @p1086 :rule scope :premises (@p1085)) % 16.08/16.43 (step-pop @p1087 :rule scope :premises (@p1086)) % 16.08/16.43 (step-pop @p1088 :rule scope :premises (@p1087)) % 16.08/16.43 (step @p498 :rule process_scope :premises (@p1088) :args (@t220)) % 16.08/16.43 (step @p512 :rule implies_elim :premises (@p498)) % 16.08/16.43 (step @p513 :rule resolution :premises (@p426 @p512) :args (true @t209)) % 16.08/16.43 (step @p514 :rule cnf_or_pos :args (@t222)) % 16.08/16.43 (step @p515 :rule reordering :premises (@p514) :args ((or @t180 @t221 (not @t222)))) % 16.08/16.43 (assume-push @p1089 @t179) % 16.08/16.43 (step @p517 :rule instantiate :premises (@p1089) :args (@t184)) % 16.08/16.43 (step-pop @p1090 :rule scope :premises (@p517)) % 16.08/16.43 (step @p518 :rule process_scope :premises (@p1090) :args (@t222)) % 16.08/16.43 (step @p520 :rule implies_elim :premises (@p518)) % 16.08/16.43 (step @p521 :rule chain_m_resolution :premises (@p520 @p515 @p513 @p338 @p337 @p336 @p335 @p334 @p333 @p81 @p332 @p80 @p285 @p435 @p430 @p428 @p338 @p337 @p336 @p335 @p334 @p333 @p81 @p332 @p80 @p331 @p326 @p324 @p319 @p48) :args ((or @t92 @t182 @t180 @t188 @t186) (@list true false false false false false false false false false false false true true false false false false false false false false false false true true true true true) (@list @t222 @t220 @t206 @t204 @t200 @t198 @t196 @t194 @t112 @t192 @t110 @t179 @t105 @t218 @t208 @t206 @t204 @t200 @t198 @t196 @t194 @t112 @t192 @t110 @t134 @t189 @t152 @t183 @t171))) % 16.08/16.43 (step @p522 :rule eq-symm :args (@t49 tptp.sk_c8)) % 16.08/16.43 (step @p523 :rule nary_cong :premises (@p522 @p49) :args (@t51)) % 16.08/16.43 (step @p524 :rule eq_resolve :premises (@p41 @p523)) % 16.08/16.43 (step @p525 :rule reordering :premises (@p524) :args ((or @t94 @t185))) % 16.08/16.43 (step @p526 :rule nary_cong :premises (@p522 @p54) :args (@t52)) % 16.08/16.43 (step @p527 :rule eq_resolve :premises (@p42 @p526)) % 16.08/16.43 (step @p528 :rule reordering :premises (@p527) :args ((or @t95 @t185))) % 16.08/16.43 (step @p529 :rule instantiate :premises (@p79) :args (@t106)) % 16.08/16.43 (step @p530 :rule instantiate :premises (@p84) :args (@t106)) % 16.08/16.43 (step @p531 :rule refl :args (@t210)) % 16.08/16.43 (step @p532 :rule refl :args (@t211)) % 16.08/16.43 (step @p533 :rule refl :args (@t212)) % 16.08/16.43 (step @p534 :rule refl :args (@t213)) % 16.08/16.43 (step @p535 :rule refl :args (@t214)) % 16.08/16.43 (step @p536 :rule refl :args (@t225)) % 16.08/16.43 (step @p537 :rule refl :args (@t228)) % 16.08/16.43 (step @p538 :rule refl :args (@t215)) % 16.08/16.43 (step @p539 :rule refl :args (@t124)) % 16.08/16.43 (step @p540 :rule refl :args (@t216)) % 16.08/16.43 (step @p541 :rule refl :args (@t125)) % 16.08/16.43 (step @p542 :rule bool-double-not-elim :args (@t185)) % 16.08/16.43 (step @p543 :rule refl :args (@t188)) % 16.08/16.43 (step @p544 :rule refl :args (@t180)) % 16.08/16.43 (step @p545 :rule refl :args (@t182)) % 16.08/16.43 (step @p546 :rule refl :args (@t99)) % 16.08/16.43 (step @p547 :rule refl :args (@t100)) % 16.08/16.43 (step @p548 :rule nary_cong :premises (@p547 @p546 @p545 @p544 @p543 @p542 @p541 @p540 @p539 @p538 @p537 @p536 @p535 @p534 @p533 @p532 @p531) :args ((or @t100 @t99 @t182 @t180 @t188 (not @t186) @t125 @t216 @t124 @t215 @t228 @t225 @t214 @t213 @t212 @t211 @t210))) % 16.08/16.43 (assume-push @p1091 @t221) % 16.08/16.43 (assume-push @p1092 @t220) % 16.08/16.43 (step @p551 :rule evaluate :args ((= false true))) % 16.08/16.43 (step @p552 :rule true_intro :premises (@p1092)) % 16.08/16.43 (step @p553 :rule false_intro :premises (@p1091)) % 16.08/16.43 (step @p554 :rule symm :premises (@p553)) % 16.08/16.43 (step @p555 :rule trans :premises (@p554 @p552)) % 16.08/16.43 (step @p556 false :rule eq_resolve :premises (@p555 @p551)) % 16.08/16.43 (step-pop @p1093 :rule scope :premises (@p556)) % 16.08/16.43 (step-pop @p1094 :rule scope :premises (@p1093)) % 16.08/16.43 (step @p557 :rule process_scope :premises (@p1094) :args (false)) % 16.08/16.43 (assume-push @p1095 @t94) % 16.08/16.43 (assume-push @p1096 @t95) % 16.08/16.43 (assume-push @p1097 @t181) % 16.08/16.43 (assume-push @p1098 @t93) % 16.08/16.43 (assume-push @p1099 @t187) % 16.08/16.43 (assume-push @p1100 @t186) % 16.08/16.43 (assume-push @p1101 @t110) % 16.08/16.43 (assume-push @p1102 @t192) % 16.08/16.43 (assume-push @p1103 @t112) % 16.08/16.43 (assume-push @p1104 @t194) % 16.08/16.43 (assume-push @p1105 @t227) % 16.08/16.43 (assume-push @p1106 @t224) % 16.08/16.43 (assume-push @p1107 @t196) % 16.08/16.43 (assume-push @p1108 @t198) % 16.08/16.43 (assume-push @p1109 @t200) % 16.08/16.43 (assume-push @p1110 @t204) % 16.08/16.43 (assume-push @p1111 @t206) % 16.08/16.43 (assume-push @p1112 @t181) % 16.08/16.43 (assume-push @p1113 @t93) % 16.08/16.43 (assume-push @p1114 @t200) % 16.08/16.43 (assume-push @p1115 @t198) % 16.08/16.43 (assume-push @p1116 @t112) % 16.08/16.43 (assume-push @p1117 @t110) % 16.08/16.43 (assume-push @p1118 @t94) % 16.08/16.43 (assume-push @p1119 @t227) % 16.08/16.43 (assume-push @p1120 @t194) % 16.08/16.43 (assume-push @p1121 @t204) % 16.08/16.43 (assume-push @p1122 @t192) % 16.08/16.43 (assume-push @p1123 @t95) % 16.08/16.43 (assume-push @p1124 @t224) % 16.08/16.43 (step @p104 :rule refl :args (tptp.sk_c9)) % 16.08/16.43 (step @p590 :rule cong :premises (@p104 @p1097) :args (@t201)) % 16.08/16.43 (step @p591 :rule symm :premises (@p1097)) % 16.08/16.43 (step @p592 :rule symm :premises (@p1098)) % 16.08/16.43 (step @p593 :rule cong :premises (@p592 @p591) :args (@t199)) % 16.08/16.43 (step @p103 :rule symm :premises (@p81)) % 16.08/16.43 (step @p373 :rule cong :premises (@p335 @p103) :args (@t119)) % 16.08/16.43 (step @p105 :rule symm :premises (@p80)) % 16.08/16.43 (step @p374 :rule cong :premises (@p105 @p81) :args (@t118)) % 16.08/16.43 (step @p375 :rule cong :premises (@p80 @p104) :args (@t111)) % 16.08/16.43 (step @p594 :rule symm :premises (@p1095)) % 16.08/16.43 (step @p365 :rule symm :premises (@p332)) % 16.08/16.43 (step @p366 :rule refl :args (tptp.sk_c8)) % 16.08/16.43 (step @p367 :rule symm :premises (@p333)) % 16.08/16.43 (step @p368 :rule cong :premises (@p367 @p366) :args (@t203)) % 16.08/16.43 (step @p369 :rule symm :premises (@p337)) % 16.08/16.43 (step @p595 :rule trans :premises (@p81 @p375 @p374 @p373 @p336 @p593)) % 16.08/16.43 (step @p377 :rule refl :args (@t191)) % 16.08/16.43 (step @p596 :rule cong :premises (@p377 @p595) :args (@t193)) % 16.08/16.43 (step @p597 :rule trans :premises (@p333 @p596 @p369 @p368 @p365)) % 16.08/16.43 (step @p598 :rule symm :premises (@p529)) % 16.08/16.43 (step @p113 :rule refl :args (tptp.sk_c5)) % 16.08/16.43 (step @p599 :rule cong :premises (@p105 @p113) :args (@t229)) % 16.08/16.43 (step @p600 :rule cong :premises (@p80 @p598) :args (@t230)) % 16.08/16.43 (step @p601 :rule symm :premises (@p596)) % 16.08/16.43 (step @p383 :rule symm :premises (@p368)) % 16.08/16.43 (step @p602 :rule symm :premises (@p1096)) % 16.08/16.43 (step @p603 :rule trans :premises (@p602 @p332 @p383 @p337 @p601 @p367)) % 16.08/16.43 (step @p604 :rule cong :premises (@p603 @p529) :args (@t223)) % 16.08/16.43 (step @p605 :rule trans :premises (@p530 @p604 @p600 @p599 @p598)) % 16.08/16.43 (step @p606 :rule cong :premises (@p605 @p597) :args (@t109)) % 16.08/16.43 (step @p607 :rule trans :premises (@p332 @p383 @p337 @p601 @p367 @p80 @p606 @p594 @p81 @p375 @p374 @p373 @p336 @p593 @p590)) % 16.08/16.43 (step-pop @p1125 :rule scope :premises (@p607)) % 16.08/16.43 (step-pop @p1126 :rule scope :premises (@p1125)) % 16.08/16.43 (step-pop @p1127 :rule scope :premises (@p1126)) % 16.08/16.43 (step-pop @p1128 :rule scope :premises (@p1127)) % 16.08/16.43 (step-pop @p1129 :rule scope :premises (@p1128)) % 16.08/16.43 (step-pop @p1130 :rule scope :premises (@p1129)) % 16.08/16.43 (step-pop @p1131 :rule scope :premises (@p1130)) % 16.08/16.43 (step-pop @p1132 :rule scope :premises (@p1131)) % 16.08/16.43 (step-pop @p1133 :rule scope :premises (@p1132)) % 16.08/16.43 (step-pop @p1134 :rule scope :premises (@p1133)) % 16.08/16.43 (step-pop @p1135 :rule scope :premises (@p1134)) % 16.08/16.43 (step-pop @p1136 :rule scope :premises (@p1135)) % 16.08/16.43 (step-pop @p1137 :rule scope :premises (@p1136)) % 16.08/16.43 (step @p608 :rule process_scope :premises (@p1137) :args (@t220)) % 16.08/16.43 (step @p622 :rule and_intro :premises (@p1097 @p1098 @p336 @p335 @p81 @p80 @p1095 @p529 @p333 @p337 @p332 @p1096 @p530)) % 16.08/16.43 (step @p623 :rule modus_ponens :premises (@p622 @p608)) % 16.08/16.43 (assume-push @p1138 @t186) % 16.08/16.43 (assume-push @p1139 @t112) % 16.08/16.43 (assume-push @p1140 @t110) % 16.08/16.43 (assume-push @p1141 @t198) % 16.08/16.43 (assume-push @p1142 @t200) % 16.08/16.43 (assume-push @p1143 @t93) % 16.08/16.43 (assume-push @p1144 @t181) % 16.08/16.43 (assume-push @p1145 @t196) % 16.08/16.43 (assume-push @p1146 @t194) % 16.08/16.43 (assume-push @p1147 @t204) % 16.08/16.43 (assume-push @p1148 @t192) % 16.08/16.43 (assume-push @p1149 @t187) % 16.08/16.43 (assume-push @p1150 @t206) % 16.08/16.43 (step @p637 :rule false_intro :premises (@p1100)) % 16.08/16.43 (step @p103 :rule symm :premises (@p81)) % 16.08/16.43 (step @p104 :rule refl :args (tptp.sk_c9)) % 16.08/16.43 (step @p105 :rule symm :premises (@p80)) % 16.08/16.43 (step @p106 :rule cong :premises (@p105 @p104) :args (@t118)) % 16.08/16.43 (step @p107 :rule cong :premises (@p80 @p103) :args (@t119)) % 16.08/16.43 (step @p373 :rule cong :premises (@p335 @p103) :args (@t119)) % 16.08/16.43 (step @p468 :rule symm :premises (@p373)) % 16.08/16.43 (step @p469 :rule symm :premises (@p336)) % 16.08/16.43 (step @p638 :rule cong :premises (@p1098 @p1097) :args (@t201)) % 16.08/16.43 (step @p639 :rule trans :premises (@p638 @p469 @p468 @p107 @p106 @p103)) % 16.08/16.43 (step @p381 :rule refl :args (tptp.sk_c3)) % 16.08/16.43 (step @p640 :rule cong :premises (@p381 @p639) :args (@t207)) % 16.08/16.43 (step @p641 :rule symm :premises (@p638)) % 16.08/16.43 (step @p374 :rule cong :premises (@p105 @p81) :args (@t118)) % 16.08/16.43 (step @p375 :rule cong :premises (@p80 @p104) :args (@t111)) % 16.08/16.43 (step @p642 :rule trans :premises (@p375 @p374 @p373 @p336 @p641)) % 16.08/16.43 (step @p380 :rule symm :premises (@p334)) % 16.08/16.43 (step @p367 :rule symm :premises (@p333)) % 16.08/16.43 (step @p377 :rule refl :args (@t191)) % 16.08/16.43 (step @p643 :rule cong :premises (@p377 @p639) :args (@t202)) % 16.08/16.43 (step @p366 :rule refl :args (tptp.sk_c8)) % 16.08/16.43 (step @p368 :rule cong :premises (@p367 @p366) :args (@t203)) % 16.08/16.43 (step @p383 :rule symm :premises (@p368)) % 16.08/16.43 (step @p644 :rule symm :premises (@p1099)) % 16.08/16.43 (step @p645 :rule trans :premises (@p644 @p332 @p383 @p337 @p643 @p367)) % 16.08/16.43 (step @p646 :rule cong :premises (@p645 @p381) :args (@t205)) % 16.08/16.43 (step @p647 :rule trans :premises (@p338 @p646 @p380)) % 16.08/16.43 (step @p648 :rule cong :premises (@p647 @p642) :args (@t119)) % 16.08/16.43 (step @p649 :rule symm :premises (@p1097)) % 16.08/16.43 (step @p650 :rule cong :premises (@p104 @p649) :args (@t219)) % 16.08/16.43 (step @p651 :rule trans :premises (@p650 @p638 @p469 @p468 @p648 @p640)) % 16.08/16.43 (step @p652 :rule cong :premises (@p366 @p651) :args (@t220)) % 16.08/16.43 (step @p653 :rule trans :premises (@p652 @p637)) % 16.08/16.43 (step @p654 :rule false_elim :premises (@p653)) % 16.08/16.43 (step-pop @p1151 :rule scope :premises (@p654)) % 16.08/16.43 (step-pop @p1152 :rule scope :premises (@p1151)) % 16.08/16.43 (step-pop @p1153 :rule scope :premises (@p1152)) % 16.08/16.43 (step-pop @p1154 :rule scope :premises (@p1153)) % 16.08/16.43 (step-pop @p1155 :rule scope :premises (@p1154)) % 16.08/16.43 (step-pop @p1156 :rule scope :premises (@p1155)) % 16.08/16.43 (step-pop @p1157 :rule scope :premises (@p1156)) % 16.08/16.43 (step-pop @p1158 :rule scope :premises (@p1157)) % 16.08/16.43 (step-pop @p1159 :rule scope :premises (@p1158)) % 16.08/16.43 (step-pop @p1160 :rule scope :premises (@p1159)) % 16.08/16.43 (step-pop @p1161 :rule scope :premises (@p1160)) % 16.08/16.43 (step-pop @p1162 :rule scope :premises (@p1161)) % 16.08/16.43 (step-pop @p1163 :rule scope :premises (@p1162)) % 16.08/16.43 (step @p655 :rule process_scope :premises (@p1163) :args (@t221)) % 16.08/16.43 (step @p669 :rule and_intro :premises (@p1100 @p81 @p80 @p335 @p336 @p1098 @p1097 @p334 @p333 @p337 @p332 @p1099 @p338)) % 16.08/16.43 (step @p670 :rule modus_ponens :premises (@p669 @p655)) % 16.08/16.43 (step @p671 :rule and_intro :premises (@p670 @p623)) % 16.08/16.43 (step-pop @p1164 :rule scope :premises (@p671)) % 16.08/16.43 (step-pop @p1165 :rule scope :premises (@p1164)) % 16.08/16.43 (step-pop @p1166 :rule scope :premises (@p1165)) % 16.08/16.43 (step-pop @p1167 :rule scope :premises (@p1166)) % 16.08/16.43 (step-pop @p1168 :rule scope :premises (@p1167)) % 16.08/16.43 (step-pop @p1169 :rule scope :premises (@p1168)) % 16.08/16.43 (step-pop @p1170 :rule scope :premises (@p1169)) % 16.08/16.43 (step-pop @p1171 :rule scope :premises (@p1170)) % 16.08/16.43 (step-pop @p1172 :rule scope :premises (@p1171)) % 16.08/16.43 (step-pop @p1173 :rule scope :premises (@p1172)) % 16.08/16.43 (step-pop @p1174 :rule scope :premises (@p1173)) % 16.08/16.43 (step-pop @p1175 :rule scope :premises (@p1174)) % 16.08/16.43 (step-pop @p1176 :rule scope :premises (@p1175)) % 16.08/16.43 (step-pop @p1177 :rule scope :premises (@p1176)) % 16.08/16.43 (step-pop @p1178 :rule scope :premises (@p1177)) % 16.08/16.43 (step-pop @p1179 :rule scope :premises (@p1178)) % 16.08/16.43 (step-pop @p1180 :rule scope :premises (@p1179)) % 16.08/16.43 (step @p672 :rule process_scope :premises (@p1180) :args (@t231)) % 16.08/16.43 (step @p690 :rule implies_elim :premises (@p672)) % 16.08/16.43 (step @p691 :rule resolution :premises (@p690 @p557) :args (true @t231)) % 16.08/16.43 (step @p692 :rule not_and :premises (@p691)) % 16.08/16.43 (step @p693 :rule eq_resolve :premises (@p692 @p548)) % 16.08/16.43 (step @p694 :rule reordering :premises (@p693) :args ((or @t185 @t100 @t99 @t182 @t180 @t188 @t125 @t216 @t124 @t215 @t228 @t225 @t214 @t213 @t212 @t211 @t210))) % 16.08/16.43 (step @p695 :rule chain_m_resolution :premises (@p694 @p338 @p337 @p336 @p335 @p334 @p530 @p529 @p333 @p81 @p332 @p80 @p528 @p525 @p521) :args ((or @t92 @t182 @t180 @t188) (@list false false false false false false false false false false false false false true) (@list @t206 @t204 @t200 @t198 @t196 @t224 @t227 @t194 @t112 @t192 @t110 @t95 @t94 @t185))) % 16.08/16.43 (step @p696 :rule eq-symm :args (@t45 tptp.sk_c8)) % 16.08/16.43 (step @p697 :rule nary_cong :premises (@p696 @p49) :args (@t47)) % 16.08/16.43 (step @p698 :rule eq_resolve :premises (@p34 @p697)) % 16.08/16.43 (step @p699 :rule reordering :premises (@p698) :args ((or @t94 @t187))) % 16.08/16.43 (step @p700 :rule nary_cong :premises (@p696 @p54) :args (@t48)) % 16.08/16.43 (step @p701 :rule eq_resolve :premises (@p35 @p700)) % 16.08/16.43 (step @p702 :rule reordering :premises (@p701) :args ((or @t95 @t187))) % 16.08/16.43 (assume-push @p1181 @t94) % 16.08/16.43 (assume-push @p1182 @t95) % 16.08/16.43 (assume-push @p1183 @t181) % 16.08/16.43 (assume-push @p1184 @t93) % 16.08/16.43 (assume-push @p1185 @t110) % 16.08/16.43 (assume-push @p1186 @t192) % 16.08/16.43 (assume-push @p1187 @t112) % 16.08/16.43 (assume-push @p1188 @t194) % 16.08/16.43 (assume-push @p1189 @t227) % 16.08/16.43 (assume-push @p1190 @t224) % 16.08/16.43 (assume-push @p1191 @t198) % 16.08/16.43 (assume-push @p1192 @t200) % 16.08/16.43 (assume-push @p1193 @t204) % 16.08/16.43 (assume-push @p1194 @t181) % 16.08/16.43 (assume-push @p1195 @t93) % 16.08/16.43 (assume-push @p1196 @t200) % 16.08/16.43 (assume-push @p1197 @t198) % 16.08/16.43 (assume-push @p1198 @t112) % 16.08/16.43 (assume-push @p1199 @t110) % 16.08/16.43 (assume-push @p1200 @t94) % 16.08/16.43 (assume-push @p1201 @t227) % 16.08/16.43 (assume-push @p1202 @t194) % 16.08/16.43 (assume-push @p1203 @t204) % 16.08/16.43 (assume-push @p1204 @t192) % 16.08/16.43 (assume-push @p1205 @t95) % 16.08/16.43 (assume-push @p1206 @t224) % 16.08/16.43 (step @p104 :rule refl :args (tptp.sk_c9)) % 16.08/16.43 (step @p590 :rule cong :premises (@p104 @p1183) :args (@t201)) % 16.08/16.43 (step @p591 :rule symm :premises (@p1183)) % 16.08/16.43 (step @p592 :rule symm :premises (@p1184)) % 16.08/16.43 (step @p593 :rule cong :premises (@p592 @p591) :args (@t199)) % 16.08/16.43 (step @p103 :rule symm :premises (@p81)) % 16.08/16.43 (step @p373 :rule cong :premises (@p335 @p103) :args (@t119)) % 16.08/16.43 (step @p105 :rule symm :premises (@p80)) % 16.08/16.43 (step @p374 :rule cong :premises (@p105 @p81) :args (@t118)) % 16.08/16.43 (step @p375 :rule cong :premises (@p80 @p104) :args (@t111)) % 16.08/16.43 (step @p594 :rule symm :premises (@p1181)) % 16.08/16.43 (step @p365 :rule symm :premises (@p332)) % 16.08/16.43 (step @p366 :rule refl :args (tptp.sk_c8)) % 16.08/16.43 (step @p367 :rule symm :premises (@p333)) % 16.08/16.43 (step @p368 :rule cong :premises (@p367 @p366) :args (@t203)) % 16.08/16.43 (step @p369 :rule symm :premises (@p337)) % 16.08/16.43 (step @p595 :rule trans :premises (@p81 @p375 @p374 @p373 @p336 @p593)) % 16.08/16.43 (step @p377 :rule refl :args (@t191)) % 16.08/16.43 (step @p596 :rule cong :premises (@p377 @p595) :args (@t193)) % 16.08/16.43 (step @p597 :rule trans :premises (@p333 @p596 @p369 @p368 @p365)) % 16.08/16.43 (step @p598 :rule symm :premises (@p529)) % 16.08/16.43 (step @p113 :rule refl :args (tptp.sk_c5)) % 16.08/16.43 (step @p599 :rule cong :premises (@p105 @p113) :args (@t229)) % 16.08/16.43 (step @p600 :rule cong :premises (@p80 @p598) :args (@t230)) % 16.08/16.43 (step @p601 :rule symm :premises (@p596)) % 16.08/16.43 (step @p383 :rule symm :premises (@p368)) % 16.08/16.43 (step @p602 :rule symm :premises (@p1182)) % 16.08/16.43 (step @p603 :rule trans :premises (@p602 @p332 @p383 @p337 @p601 @p367)) % 16.08/16.43 (step @p604 :rule cong :premises (@p603 @p529) :args (@t223)) % 16.08/16.43 (step @p605 :rule trans :premises (@p530 @p604 @p600 @p599 @p598)) % 16.08/16.43 (step @p606 :rule cong :premises (@p605 @p597) :args (@t109)) % 16.08/16.43 (step @p607 :rule trans :premises (@p332 @p383 @p337 @p601 @p367 @p80 @p606 @p594 @p81 @p375 @p374 @p373 @p336 @p593 @p590)) % 16.08/16.43 (step-pop @p1207 :rule scope :premises (@p607)) % 16.08/16.43 (step-pop @p1208 :rule scope :premises (@p1207)) % 16.08/16.43 (step-pop @p1209 :rule scope :premises (@p1208)) % 16.08/16.43 (step-pop @p1210 :rule scope :premises (@p1209)) % 16.08/16.43 (step-pop @p1211 :rule scope :premises (@p1210)) % 16.08/16.43 (step-pop @p1212 :rule scope :premises (@p1211)) % 16.08/16.43 (step-pop @p1213 :rule scope :premises (@p1212)) % 16.08/16.43 (step-pop @p1214 :rule scope :premises (@p1213)) % 16.08/16.43 (step-pop @p1215 :rule scope :premises (@p1214)) % 16.08/16.43 (step-pop @p1216 :rule scope :premises (@p1215)) % 16.08/16.43 (step-pop @p1217 :rule scope :premises (@p1216)) % 16.08/16.43 (step-pop @p1218 :rule scope :premises (@p1217)) % 16.08/16.43 (step-pop @p1219 :rule scope :premises (@p1218)) % 16.08/16.43 (step @p729 :rule process_scope :premises (@p1219) :args (@t220)) % 16.08/16.43 (step @p743 :rule and_intro :premises (@p1183 @p1184 @p336 @p335 @p81 @p80 @p1181 @p529 @p333 @p337 @p332 @p1182 @p530)) % 16.08/16.43 (step @p744 :rule modus_ponens :premises (@p743 @p729)) % 16.08/16.43 (step-pop @p1220 :rule scope :premises (@p744)) % 16.08/16.43 (step-pop @p1221 :rule scope :premises (@p1220)) % 16.08/16.43 (step-pop @p1222 :rule scope :premises (@p1221)) % 16.08/16.43 (step-pop @p1223 :rule scope :premises (@p1222)) % 16.08/16.43 (step-pop @p1224 :rule scope :premises (@p1223)) % 16.08/16.43 (step-pop @p1225 :rule scope :premises (@p1224)) % 16.08/16.43 (step-pop @p1226 :rule scope :premises (@p1225)) % 16.08/16.43 (step-pop @p1227 :rule scope :premises (@p1226)) % 16.08/16.43 (step-pop @p1228 :rule scope :premises (@p1227)) % 16.08/16.43 (step-pop @p1229 :rule scope :premises (@p1228)) % 16.08/16.43 (step-pop @p1230 :rule scope :premises (@p1229)) % 16.08/16.43 (step-pop @p1231 :rule scope :premises (@p1230)) % 16.08/16.43 (step-pop @p1232 :rule scope :premises (@p1231)) % 16.08/16.43 (step @p745 :rule process_scope :premises (@p1232) :args (@t220)) % 16.08/16.43 (step @p759 :rule implies_elim :premises (@p745)) % 16.08/16.43 (step @p760 :rule cnf_and_neg :args (@t232)) % 16.08/16.43 (step @p761 :rule resolution :premises (@p760 @p759) :args (true @t232)) % 16.08/16.43 (assume-push @p1233 @t94) % 16.08/16.43 (assume-push @p1234 @t95) % 16.08/16.43 (assume-push @p1235 @t181) % 16.08/16.43 (assume-push @p1236 @t93) % 16.08/16.43 (assume-push @p1237 @t110) % 16.08/16.43 (assume-push @p1238 @t192) % 16.08/16.43 (assume-push @p1239 @t112) % 16.08/16.43 (assume-push @p1240 @t194) % 16.08/16.43 (assume-push @p1241 @t227) % 16.08/16.43 (assume-push @p1242 @t224) % 16.08/16.43 (assume-push @p1243 @t198) % 16.08/16.43 (assume-push @p1244 @t200) % 16.08/16.43 (assume-push @p1245 @t204) % 16.08/16.43 (assume-push @p1246 @t227) % 16.08/16.43 (assume-push @p1247 @t110) % 16.08/16.43 (assume-push @p1248 @t194) % 16.08/16.43 (assume-push @p1249 @t112) % 16.08/16.43 (assume-push @p1250 @t198) % 16.08/16.43 (assume-push @p1251 @t200) % 16.08/16.43 (assume-push @p1252 @t93) % 16.08/16.43 (assume-push @p1253 @t181) % 16.08/16.43 (assume-push @p1254 @t204) % 16.08/16.43 (assume-push @p1255 @t192) % 16.08/16.43 (assume-push @p1256 @t95) % 16.08/16.43 (assume-push @p1257 @t224) % 16.08/16.43 (assume-push @p1258 @t94) % 16.08/16.43 (step @p788 :rule symm :premises (@p1233)) % 16.08/16.43 (step @p365 :rule symm :premises (@p332)) % 16.08/16.43 (step @p366 :rule refl :args (tptp.sk_c8)) % 16.08/16.43 (step @p367 :rule symm :premises (@p333)) % 16.08/16.43 (step @p368 :rule cong :premises (@p367 @p366) :args (@t203)) % 16.08/16.43 (step @p369 :rule symm :premises (@p337)) % 16.08/16.43 (step @p789 :rule symm :premises (@p1235)) % 16.08/16.43 (step @p790 :rule symm :premises (@p1236)) % 16.08/16.43 (step @p791 :rule cong :premises (@p790 @p789) :args (@t199)) % 16.08/16.43 (step @p103 :rule symm :premises (@p81)) % 16.08/16.43 (step @p373 :rule cong :premises (@p335 @p103) :args (@t119)) % 16.08/16.43 (step @p105 :rule symm :premises (@p80)) % 16.08/16.43 (step @p374 :rule cong :premises (@p105 @p81) :args (@t118)) % 16.08/16.43 (step @p104 :rule refl :args (tptp.sk_c9)) % 16.08/16.43 (step @p375 :rule cong :premises (@p80 @p104) :args (@t111)) % 16.08/16.43 (step @p792 :rule trans :premises (@p81 @p375 @p374 @p373 @p336 @p791)) % 16.08/16.43 (step @p377 :rule refl :args (@t191)) % 16.08/16.43 (step @p793 :rule cong :premises (@p377 @p792) :args (@t193)) % 16.08/16.43 (step @p794 :rule trans :premises (@p333 @p793 @p369 @p368 @p365)) % 16.08/16.43 (step @p598 :rule symm :premises (@p529)) % 16.08/16.43 (step @p113 :rule refl :args (tptp.sk_c5)) % 16.08/16.43 (step @p599 :rule cong :premises (@p105 @p113) :args (@t229)) % 16.08/16.43 (step @p600 :rule cong :premises (@p80 @p598) :args (@t230)) % 16.08/16.43 (step @p795 :rule symm :premises (@p793)) % 16.08/16.43 (step @p383 :rule symm :premises (@p368)) % 16.08/16.43 (step @p796 :rule symm :premises (@p1234)) % 16.08/16.43 (step @p797 :rule trans :premises (@p796 @p332 @p383 @p337 @p795 @p367)) % 16.08/16.43 (step @p798 :rule cong :premises (@p797 @p529) :args (@t223)) % 16.08/16.43 (step @p799 :rule trans :premises (@p530 @p798 @p600 @p599 @p598)) % 16.08/16.43 (step @p800 :rule cong :premises (@p799 @p794) :args (@t109)) % 16.08/16.43 (step @p801 :rule trans :premises (@p80 @p800 @p788)) % 16.08/16.43 (step @p802 :rule cong :premises (@p799 @p801) :args (@t109)) % 16.08/16.43 (step @p803 :rule trans :premises (@p332 @p383 @p337 @p795 @p367 @p80 @p802)) % 16.08/16.43 (step-pop @p1259 :rule scope :premises (@p803)) % 16.08/16.43 (step-pop @p1260 :rule scope :premises (@p1259)) % 16.08/16.43 (step-pop @p1261 :rule scope :premises (@p1260)) % 16.08/16.43 (step-pop @p1262 :rule scope :premises (@p1261)) % 16.08/16.43 (step-pop @p1263 :rule scope :premises (@p1262)) % 16.08/16.43 (step-pop @p1264 :rule scope :premises (@p1263)) % 16.08/16.43 (step-pop @p1265 :rule scope :premises (@p1264)) % 16.08/16.43 (step-pop @p1266 :rule scope :premises (@p1265)) % 16.08/16.43 (step-pop @p1267 :rule scope :premises (@p1266)) % 16.08/16.43 (step-pop @p1268 :rule scope :premises (@p1267)) % 16.08/16.43 (step-pop @p1269 :rule scope :premises (@p1268)) % 16.08/16.43 (step-pop @p1270 :rule scope :premises (@p1269)) % 16.08/16.43 (step-pop @p1271 :rule scope :premises (@p1270)) % 16.08/16.43 (step @p804 :rule process_scope :premises (@p1271) :args (@t120)) % 16.08/16.43 (step @p818 :rule and_intro :premises (@p529 @p80 @p333 @p81 @p335 @p336 @p1236 @p1235 @p337 @p332 @p1234 @p530 @p1233)) % 16.08/16.43 (step @p819 :rule modus_ponens :premises (@p818 @p804)) % 16.08/16.43 (step-pop @p1272 :rule scope :premises (@p819)) % 16.08/16.43 (step-pop @p1273 :rule scope :premises (@p1272)) % 16.08/16.43 (step-pop @p1274 :rule scope :premises (@p1273)) % 16.08/16.43 (step-pop @p1275 :rule scope :premises (@p1274)) % 16.08/16.43 (step-pop @p1276 :rule scope :premises (@p1275)) % 16.08/16.43 (step-pop @p1277 :rule scope :premises (@p1276)) % 16.08/16.43 (step-pop @p1278 :rule scope :premises (@p1277)) % 16.08/16.43 (step-pop @p1279 :rule scope :premises (@p1278)) % 16.08/16.43 (step-pop @p1280 :rule scope :premises (@p1279)) % 16.08/16.43 (step-pop @p1281 :rule scope :premises (@p1280)) % 16.08/16.43 (step-pop @p1282 :rule scope :premises (@p1281)) % 16.08/16.43 (step-pop @p1283 :rule scope :premises (@p1282)) % 16.08/16.43 (step-pop @p1284 :rule scope :premises (@p1283)) % 16.08/16.43 (step @p820 :rule process_scope :premises (@p1284) :args (@t120)) % 16.08/16.43 (step @p834 :rule implies_elim :premises (@p820)) % 16.08/16.43 (step @p835 :rule resolution :premises (@p760 @p834) :args (true @t232)) % 16.08/16.43 (step @p836 :rule chain_m_resolution :premises (@p146 @p141 @p835 @p337 @p336 @p335 @p530 @p529 @p333 @p81 @p332 @p80 @p285 @p520 @p515 @p76 @p761 @p337 @p336 @p335 @p530 @p529 @p333 @p81 @p332 @p80 @p71 @p702 @p699 @p695 @p324 @p319 @p48) :args ((or @t92 @t182 @t180) (@list true false false false false false false false false false false false true true true false false false false false false false false false false true false false true true true true) (@list @t130 @t120 @t204 @t200 @t198 @t224 @t227 @t194 @t112 @t192 @t110 @t134 @t179 @t222 @t105 @t220 @t204 @t200 @t198 @t224 @t227 @t194 @t112 @t192 @t110 @t101 @t95 @t94 @t187 @t152 @t183 @t171))) % 16.08/16.43 (step @p837 :rule eq-symm :args (@t31 tptp.sk_c8)) % 16.08/16.43 (step @p838 :rule nary_cong :premises (@p837 @p49) :args (@t33)) % 16.08/16.43 (step @p839 :rule eq_resolve :premises (@p20 @p838)) % 16.08/16.43 (step @p840 :rule reordering :premises (@p839) :args ((or @t94 @t181))) % 16.08/16.43 (step @p841 :rule nary_cong :premises (@p837 @p54) :args (@t34)) % 16.08/16.43 (step @p842 :rule eq_resolve :premises (@p21 @p841)) % 16.08/16.43 (step @p843 :rule reordering :premises (@p842) :args ((or @t95 @t181))) % 16.08/16.43 (step @p844 :rule nary_cong :premises (@p837 @p58) :args (@t35)) % 16.08/16.43 (step @p845 :rule eq_resolve :premises (@p22 @p844)) % 16.08/16.43 (step @p846 :rule reordering :premises (@p845) :args ((or @t96 @t181))) % 16.08/16.43 (step @p847 :rule nary_cong :premises (@p837 @p62) :args (@t36)) % 16.08/16.43 (step @p848 :rule eq_resolve :premises (@p23 @p847)) % 16.08/16.43 (step @p849 :rule reordering :premises (@p848) :args ((or @t97 @t181))) % 16.08/16.43 (step @p850 :rule nary_cong :premises (@p837 @p66) :args (@t37)) % 16.08/16.43 (step @p851 :rule eq_resolve :premises (@p24 @p850)) % 16.08/16.43 (step @p852 :rule reordering :premises (@p851) :args ((or @t98 @t181))) % 16.08/16.43 (step @p853 :rule chain_m_resolution :premises (@p217 @p86 @p85 @p81 @p80 @p219 @p166 @p161 @p224 @p155 @p285 @p146 @p316 @p141 @p311 @p76 @p139 @p86 @p85 @p81 @p80 @p309 @p71 @p852 @p849 @p846 @p843 @p840 @p836 @p317 @p48) :args (@t92 (@list false false false false true false false false true false true true true true true false false false false false false true false false false false false true false true) (@list @t117 @t114 @t112 @t110 @t145 @t136 @t139 @t148 @t141 @t152 @t134 @t179 @t130 @t178 @t105 @t120 @t117 @t114 @t112 @t110 @t175 @t101 @t98 @t97 @t96 @t95 @t94 @t181 @t93 @t171))) % 16.08/16.43 (assume-push @p1285 @t92) % 16.08/16.43 (step @p855 :rule instantiate :premises (@p1285) :args ((@list tptp.sk_c4))) % 16.08/16.43 (step-pop @p1286 :rule scope :premises (@p855)) % 16.08/16.43 (step @p856 :rule process_scope :premises (@p1286) :args (@t237)) % 16.08/16.43 (step @p858 :rule implies_elim :premises (@p856)) % 16.08/16.43 (step @p859 :rule chain_m_resolution :premises (@p858 @p853) :args (@t237 @t238 @t239)) % 16.08/16.43 (assume-push @p1287 @t92) % 16.08/16.43 (step @p861 :rule instantiate :premises (@p1287) :args ((@list tptp.sk_c1))) % 16.08/16.43 (step-pop @p1288 :rule scope :premises (@p861)) % 16.08/16.43 (step @p862 :rule process_scope :premises (@p1288) :args (@t244)) % 16.08/16.43 (step @p864 :rule implies_elim :premises (@p862)) % 16.08/16.43 (step @p865 :rule chain_m_resolution :premises (@p864 @p853) :args (@t244 @t238 @t239)) % 16.08/16.43 (step @p866 :rule eq-symm :args (@t9 tptp.sk_c9)) % 16.08/16.43 (step @p867 :rule eq-symm :args (@t27 tptp.sk_c10)) % 16.08/16.43 (step @p868 :rule nary_cong :premises (@p867 @p866) :args (@t29)) % 16.08/16.43 (step @p869 :rule eq_resolve :premises (@p11 @p868)) % 16.08/16.43 (step @p870 :rule reordering :premises (@p869) :args ((or @t235 @t240))) % 16.08/16.43 (step @p871 :rule eq-symm :args (@t14 tptp.sk_c10)) % 16.08/16.43 (step @p872 :rule nary_cong :premises (@p867 @p871) :args (@t30)) % 16.08/16.43 (step @p873 :rule eq_resolve :premises (@p12 @p872)) % 16.08/16.43 (step @p874 :rule reordering :premises (@p873) :args ((or @t233 @t240))) % 16.08/16.43 (step @p875 :rule cnf_or_pos :args (@t237)) % 16.08/16.43 (step @p876 :rule reordering :premises (@p875) :args ((or @t236 @t234 (not @t237)))) % 16.08/16.43 (step @p877 :rule chain_m_resolution :premises (@p876 @p859 @p874 @p870) :args (@t240 @t245 (@list @t237 @t233 @t235))) % 16.08/16.43 (step @p878 :rule cnf_or_pos :args (@t244)) % 16.08/16.43 (step @p879 :rule reordering :premises (@p878) :args ((or @t243 @t241 (not @t244)))) % 16.08/16.43 (step @p880 :rule chain_m_resolution :premises (@p879 @p877 @p865) :args (@t243 (@list false false) (@list @t240 @t244))) % 16.08/16.43 (step @p881 :rule eq-symm :args (@t11 tptp.sk_c9)) % 16.08/16.43 (step @p882 :rule nary_cong :premises (@p881 @p866) :args (@t13)) % 16.08/16.43 (step @p883 :rule eq_resolve :premises (@p4 @p882)) % 16.08/16.43 (step @p884 :rule chain_m_resolution :premises (@p883 @p880) :args (@t235 @t246 @t247)) % 16.08/16.43 (step @p885 :rule nary_cong :premises (@p881 @p871) :args (@t16)) % 16.08/16.43 (step @p886 :rule eq_resolve :premises (@p5 @p885)) % 16.08/16.43 (step @p887 :rule chain_m_resolution :premises (@p886 @p880) :args (@t233 @t246 @t247)) % 16.08/16.43 (step @p888 false :rule chain_m_resolution :premises (@p876 @p887 @p884 @p859) :args (false @t245 (@list @t233 @t235 @t237))) % 16.08/16.43 ) % 16.08/16.43 % SZS output end Proof % 16.08/16.43 % cvc5 exiting %------------------------------------------------------------------------------