%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP379-1 : 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 : n007.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 08:20:38 AM UTC 2026 % Result : Unsatisfiable 15.94s 16.17s % Output : Proof 16.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP379-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:02:11 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.70/15.97 --- Run --no-e-matching --full-saturate-quant at 6... % 15.94/16.17 % SZS status Unsatisfiable % 15.94/16.17 % SZS output start Proof % 16.01/16.20 ( % 16.01/16.20 (declare-sort $$unsorted 0) % 16.01/16.20 (declare-const tptp.sk_c1 $$unsorted) % 16.01/16.20 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.01/16.20 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.01/16.20 (declare-const tptp.identity $$unsorted) % 16.01/16.20 (declare-const tptp.sk_c9 $$unsorted) % 16.01/16.20 (declare-const tptp.sk_c11 $$unsorted) % 16.01/16.20 (declare-const tptp.sk_c2 $$unsorted) % 16.01/16.20 (declare-const tptp.sk_c4 $$unsorted) % 16.01/16.20 (declare-const tptp.sk_c8 $$unsorted) % 16.01/16.20 (declare-const tptp.sk_c5 $$unsorted) % 16.01/16.20 (declare-const tptp.sk_c3 $$unsorted) % 16.01/16.20 (declare-const tptp.sk_c6 $$unsorted) % 16.01/16.20 (declare-const tptp.sk_c10 $$unsorted) % 16.01/16.20 (declare-const tptp.sk_c7 $$unsorted) % 16.01/16.20 (define @t1 () (@var "X" $$unsorted)) % 16.01/16.20 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.01/16.20 (define @t3 () (@list @t1)) % 16.01/16.20 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.01/16.20 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.01/16.20 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.01/16.20 (define @t7 () (@var "Z" $$unsorted)) % 16.01/16.20 (define @t8 () (@var "Y" $$unsorted)) % 16.01/16.20 (define @t9 () (tptp.multiply tptp.sk_c3 tptp.sk_c11)) % 16.01/16.20 (define @t10 () (= @t9 tptp.sk_c10)) % 16.01/16.20 (define @t11 () (tptp.inverse tptp.sk_c11)) % 16.01/16.20 (define @t12 () (= @t11 tptp.sk_c10)) % 16.01/16.20 (define @t13 () (or @t12 @t10)) % 16.01/16.20 (define @t14 () (tptp.inverse tptp.sk_c3)) % 16.01/16.20 (define @t15 () (= @t14 tptp.sk_c11)) % 16.01/16.20 (define @t16 () (or @t12 @t15)) % 16.01/16.20 (define @t17 () (tptp.multiply tptp.sk_c4 tptp.sk_c10)) % 16.01/16.20 (define @t18 () (= @t17 tptp.sk_c9)) % 16.01/16.20 (define @t19 () (tptp.inverse tptp.sk_c4)) % 16.01/16.20 (define @t20 () (= @t19 tptp.sk_c10)) % 16.01/16.20 (define @t21 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 16.01/16.20 (define @t22 () (= @t21 tptp.sk_c11)) % 16.01/16.20 (define @t23 () (or @t12 @t22)) % 16.01/16.20 (define @t24 () (tptp.inverse tptp.sk_c5)) % 16.01/16.20 (define @t25 () (= @t24 tptp.sk_c8)) % 16.01/16.20 (define @t26 () (or @t12 @t25)) % 16.01/16.20 (define @t27 () (tptp.multiply tptp.sk_c8 tptp.sk_c10)) % 16.01/16.20 (define @t28 () (= @t27 tptp.sk_c11)) % 16.01/16.20 (define @t29 () (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) % 16.01/16.20 (define @t30 () (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)) % 16.01/16.20 (define @t31 () (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) % 16.01/16.20 (define @t32 () (tptp.multiply tptp.sk_c10 tptp.sk_c9)) % 16.01/16.20 (define @t33 () (= @t32 tptp.sk_c11)) % 16.01/16.20 (define @t34 () (or @t33 @t10)) % 16.01/16.20 (define @t35 () (or @t33 @t15)) % 16.01/16.20 (define @t36 () (or @t33 @t18)) % 16.01/16.20 (define @t37 () (or @t33 @t20)) % 16.01/16.20 (define @t38 () (tptp.multiply tptp.sk_c1 tptp.sk_c2)) % 16.01/16.20 (define @t39 () (= @t38 tptp.sk_c11)) % 16.01/16.20 (define @t40 () (or @t39 @t10)) % 16.01/16.20 (define @t41 () (or @t39 @t15)) % 16.01/16.20 (define @t42 () (or @t39 @t22)) % 16.01/16.20 (define @t43 () (or @t39 @t25)) % 16.01/16.20 (define @t44 () (or @t39 @t28)) % 16.01/16.20 (define @t45 () (tptp.inverse tptp.sk_c1)) % 16.01/16.20 (define @t46 () (= @t45 tptp.sk_c2)) % 16.01/16.20 (define @t47 () (or @t46 @t10)) % 16.01/16.20 (define @t48 () (or @t46 @t15)) % 16.01/16.20 (define @t49 () (or @t46 @t22)) % 16.01/16.20 (define @t50 () (or @t46 @t25)) % 16.01/16.20 (define @t51 () (or @t46 @t28)) % 16.01/16.20 (define @t52 () (tptp.multiply tptp.sk_c2 tptp.sk_c9)) % 16.01/16.20 (define @t53 () (= @t52 tptp.sk_c11)) % 16.01/16.20 (define @t54 () (or @t53 @t10)) % 16.01/16.20 (define @t55 () (or @t53 @t15)) % 16.01/16.20 (define @t56 () (or @t53 @t22)) % 16.01/16.20 (define @t57 () (or @t53 @t25)) % 16.01/16.20 (define @t58 () (or @t53 @t28)) % 16.01/16.20 (define @t59 () (@var "X8" $$unsorted)) % 16.01/16.20 (define @t60 () (@var "X6" $$unsorted)) % 16.01/16.20 (define @t61 () (@var "X7" $$unsorted)) % 16.01/16.20 (define @t62 () (tptp.multiply @t61 @t60)) % 16.01/16.20 (define @t63 () (not (= @t62 @t59))) % 16.01/16.20 (define @t64 () (tptp.inverse @t59)) % 16.01/16.20 (define @t65 () (not (= @t64 @t60))) % 16.01/16.20 (define @t66 () (tptp.inverse @t61)) % 16.01/16.20 (define @t67 () (not (= @t66 @t59))) % 16.01/16.20 (define @t68 () (tptp.multiply @t60 tptp.sk_c10)) % 16.01/16.20 (define @t69 () (not (= @t68 tptp.sk_c11))) % 16.01/16.20 (define @t70 () (@var "X5" $$unsorted)) % 16.01/16.20 (define @t71 () (tptp.inverse @t70)) % 16.01/16.20 (define @t72 () (not (= @t71 @t60))) % 16.01/16.20 (define @t73 () (tptp.multiply @t70 @t60)) % 16.01/16.20 (define @t74 () (not (= @t73 tptp.sk_c11))) % 16.01/16.20 (define @t75 () (@var "X2" $$unsorted)) % 16.01/16.20 (define @t76 () (tptp.inverse @t75)) % 16.01/16.20 (define @t77 () (not (= @t76 tptp.sk_c10))) % 16.01/16.20 (define @t78 () (tptp.multiply @t75 tptp.sk_c10)) % 16.01/16.20 (define @t79 () (not (= @t78 tptp.sk_c9))) % 16.01/16.20 (define @t80 () (@var "X1" $$unsorted)) % 16.01/16.20 (define @t81 () (tptp.inverse @t80)) % 16.01/16.20 (define @t82 () (not (= @t81 tptp.sk_c11))) % 16.01/16.20 (define @t83 () (tptp.multiply @t80 tptp.sk_c11)) % 16.01/16.20 (define @t84 () (not (= @t83 tptp.sk_c10))) % 16.01/16.20 (define @t85 () (@var "X4" $$unsorted)) % 16.01/16.20 (define @t86 () (tptp.multiply @t85 tptp.sk_c9)) % 16.01/16.20 (define @t87 () (not (= @t86 tptp.sk_c11))) % 16.01/16.20 (define @t88 () (@var "X3" $$unsorted)) % 16.01/16.20 (define @t89 () (tptp.inverse @t88)) % 16.01/16.20 (define @t90 () (not (= @t89 @t85))) % 16.01/16.20 (define @t91 () (tptp.multiply @t88 @t85)) % 16.01/16.20 (define @t92 () (not (= @t91 tptp.sk_c11))) % 16.01/16.20 (define @t93 () (not @t33)) % 16.01/16.20 (define @t94 () (not @t12)) % 16.01/16.20 (define @t95 () (or @t94 @t93 @t92 @t90 @t87 @t84 @t82 @t79 @t77 @t74 @t72 @t69 @t67 @t65 @t63)) % 16.01/16.20 (define @t96 () (@list @t88 @t85 @t80 @t75 @t70 @t60 @t61 @t59)) % 16.01/16.20 (define @t97 () (forall @t96 @t95)) % 16.01/16.20 (define @t98 () (@list tptp.sk_c11)) % 16.01/16.20 (define @t99 () (@list tptp.sk_c10)) % 16.01/16.20 (define @t100 () (@list tptp.sk_c3)) % 16.01/16.20 (define @t101 () (@list tptp.sk_c8)) % 16.01/16.20 (define @t102 () (@list tptp.sk_c5)) % 16.01/16.20 (define @t103 () (= tptp.sk_c10 @t11)) % 16.01/16.20 (define @t104 () (tptp.inverse tptp.sk_c10)) % 16.01/16.20 (define @t105 () (tptp.inverse @t11)) % 16.01/16.20 (define @t106 () (= @t104 @t105)) % 16.01/16.20 (define @t107 () (= tptp.sk_c2 @t45)) % 16.01/16.20 (define @t108 () (= tptp.sk_c10 @t9)) % 16.01/16.20 (define @t109 () (= tptp.sk_c11 @t14)) % 16.01/16.20 (define @t110 () (= tptp.sk_c11 @t21)) % 16.01/16.20 (define @t111 () (= tptp.sk_c8 @t24)) % 16.01/16.20 (define @t112 () (= tptp.sk_c11 @t27)) % 16.01/16.20 (define @t113 () (not @t109)) % 16.01/16.20 (define @t114 () (not @t108)) % 16.01/16.20 (define @t115 () (or @t114 @t113)) % 16.01/16.20 (define @t116 () (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 @t24))) % 16.01/16.20 (define @t117 () (and @t110 @t111)) % 16.01/16.20 (define @t118 () (not (= tptp.sk_c11 @t81))) % 16.01/16.20 (define @t119 () (not (= tptp.sk_c10 @t83))) % 16.01/16.20 (define @t120 () (or @t119 @t118)) % 16.01/16.20 (define @t121 () (forall (@list @t80) @t120)) % 16.01/16.20 (define @t122 () (tptp.multiply tptp.identity tptp.sk_c11)) % 16.01/16.20 (define @t123 () (= tptp.sk_c11 @t122)) % 16.01/16.20 (define @t124 () (tptp.multiply tptp.identity tptp.sk_c10)) % 16.01/16.20 (define @t125 () (= tptp.sk_c10 @t124)) % 16.01/16.20 (define @t126 () (tptp.multiply @t11 tptp.sk_c11)) % 16.01/16.20 (define @t127 () (= tptp.identity @t126)) % 16.01/16.20 (define @t128 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.01/16.20 (define @t129 () (= tptp.sk_c3 @t128)) % 16.01/16.20 (define @t130 () (tptp.multiply @t104 tptp.sk_c10)) % 16.01/16.20 (define @t131 () (= tptp.identity @t130)) % 16.01/16.20 (define @t132 () (tptp.multiply @t14 tptp.sk_c3)) % 16.01/16.20 (define @t133 () (= tptp.identity @t132)) % 16.01/16.20 (define @t134 () (tptp.multiply tptp.sk_c11 @t124)) % 16.01/16.20 (define @t135 () (tptp.multiply tptp.sk_c11 tptp.identity)) % 16.01/16.20 (define @t136 () (tptp.multiply @t135 tptp.sk_c10)) % 16.01/16.20 (define @t137 () (= @t136 @t134)) % 16.01/16.20 (define @t138 () (tptp.multiply tptp.sk_c11 tptp.sk_c10)) % 16.01/16.20 (define @t139 () (tptp.multiply tptp.sk_c11 @t138)) % 16.01/16.20 (define @t140 () (tptp.multiply tptp.sk_c11 tptp.sk_c11)) % 16.01/16.20 (define @t141 () (tptp.multiply @t140 tptp.sk_c10)) % 16.01/16.20 (define @t142 () (= @t141 @t139)) % 16.01/16.20 (define @t143 () (tptp.multiply tptp.sk_c10 tptp.identity)) % 16.01/16.20 (define @t144 () (tptp.multiply tptp.sk_c11 @t143)) % 16.01/16.20 (define @t145 () (tptp.multiply @t138 tptp.identity)) % 16.01/16.20 (define @t146 () (= @t145 @t144)) % 16.01/16.20 (define @t147 () (tptp.multiply tptp.sk_c10 tptp.sk_c11)) % 16.01/16.20 (define @t148 () (tptp.multiply tptp.sk_c11 @t147)) % 16.01/16.20 (define @t149 () (tptp.multiply @t138 tptp.sk_c11)) % 16.01/16.20 (define @t150 () (= @t149 @t148)) % 16.01/16.20 (define @t151 () (tptp.multiply tptp.sk_c11 tptp.sk_c3)) % 16.01/16.20 (define @t152 () (tptp.multiply tptp.sk_c10 @t151)) % 16.01/16.20 (define @t153 () (tptp.multiply @t147 tptp.sk_c3)) % 16.01/16.20 (define @t154 () (= @t153 @t152)) % 16.01/16.20 (define @t155 () (tptp.multiply @t14 @t9)) % 16.01/16.20 (define @t156 () (tptp.multiply @t132 tptp.sk_c11)) % 16.01/16.20 (define @t157 () (= @t156 @t155)) % 16.01/16.20 (define @t158 () (tptp.multiply @t122 tptp.identity)) % 16.01/16.20 (define @t159 () (= tptp.sk_c11 @t130)) % 16.01/16.20 (define @t160 () (and @t103 @t108 @t109 @t123 @t125 @t127 @t129 @t131 @t133 @t137 @t142 @t146 @t150 @t154 @t157)) % 16.01/16.20 (define @t161 () (not @t157)) % 16.01/16.20 (define @t162 () (not @t154)) % 16.01/16.20 (define @t163 () (not @t150)) % 16.01/16.20 (define @t164 () (not @t146)) % 16.01/16.20 (define @t165 () (not @t142)) % 16.01/16.20 (define @t166 () (not @t137)) % 16.01/16.20 (define @t167 () (not @t133)) % 16.01/16.20 (define @t168 () (not @t129)) % 16.01/16.20 (define @t169 () (not @t127)) % 16.01/16.20 (define @t170 () (not @t125)) % 16.01/16.20 (define @t171 () (not @t123)) % 16.01/16.20 (define @t172 () (not @t103)) % 16.01/16.20 (define @t173 () (tptp.inverse tptp.identity)) % 16.01/16.20 (define @t174 () (= tptp.sk_c10 @t104)) % 16.01/16.20 (define @t175 () (and @t103 @t108 @t109 @t123 @t125 @t127 @t129 @t133 @t137 @t142 @t146 @t150 @t154 @t157)) % 16.01/16.20 (define @t176 () (= tptp.sk_c11 @t32)) % 16.01/16.20 (define @t177 () (tptp.multiply tptp.identity tptp.sk_c9)) % 16.01/16.20 (define @t178 () (= tptp.sk_c9 @t177)) % 16.01/16.20 (define @t179 () (tptp.multiply tptp.sk_c10 @t140)) % 16.01/16.20 (define @t180 () (tptp.multiply @t147 tptp.sk_c11)) % 16.01/16.20 (define @t181 () (= @t180 @t179)) % 16.01/16.20 (define @t182 () (tptp.multiply @t124 tptp.sk_c10)) % 16.01/16.20 (define @t183 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) % 16.01/16.20 (define @t184 () (and @t103 @t108 @t109 @t176 @t123 @t125 @t127 @t129 @t133 @t178 @t142 @t146 @t150 @t181 @t154 @t157)) % 16.01/16.20 (define @t185 () (not @t181)) % 16.01/16.20 (define @t186 () (not @t178)) % 16.01/16.20 (define @t187 () (not @t176)) % 16.01/16.20 (define @t188 () (tptp.multiply tptp.identity @t140)) % 16.01/16.20 (define @t189 () (tptp.multiply @t122 tptp.sk_c11)) % 16.01/16.20 (define @t190 () (= @t189 @t188)) % 16.01/16.20 (define @t191 () (tptp.multiply tptp.sk_c10 @t104)) % 16.01/16.20 (define @t192 () (= tptp.sk_c11 @t191)) % 16.01/16.20 (define @t193 () (and @t103 @t108 @t109 @t123 @t125 @t127 @t129 @t190 @t133 @t137 @t142 @t146 @t150 @t154 @t157)) % 16.01/16.20 (define @t194 () (not @t190)) % 16.01/16.20 (define @t195 () (= @t11 (tptp.multiply tptp.sk_c11 @t104))) % 16.01/16.20 (define @t196 () (tptp.multiply @t24 tptp.sk_c11)) % 16.01/16.20 (define @t197 () (tptp.multiply tptp.sk_c8 tptp.sk_c11)) % 16.01/16.20 (define @t198 () (= tptp.sk_c11 (tptp.multiply @t24 tptp.sk_c9))) % 16.01/16.20 (define @t199 () (and @t103 @t108 @t109 @t111 @t112 @t176 @t123 @t125 @t127 @t129 @t133 @t178 @t137 @t142 @t146 @t150 @t154 @t157)) % 16.01/16.20 (define @t200 () (not @t112)) % 16.01/16.20 (define @t201 () (not @t111)) % 16.01/16.20 (define @t202 () (not @t174)) % 16.01/16.20 (define @t203 () (not @t183)) % 16.01/16.20 (define @t204 () (or @t203 @t202)) % 16.01/16.20 (define @t205 () (not @t195)) % 16.01/16.20 (define @t206 () (not @t106)) % 16.01/16.20 (define @t207 () (not @t159)) % 16.01/16.20 (define @t208 () (not @t192)) % 16.01/16.20 (define @t209 () (or @t208 @t207 @t206 @t205)) % 16.01/16.20 (define @t210 () (not @t198)) % 16.01/16.20 (define @t211 () (not @t116)) % 16.01/16.20 (define @t212 () (or @t211 @t210)) % 16.01/16.20 (define @t213 () (not (= tptp.sk_c10 @t76))) % 16.01/16.20 (define @t214 () (not (= tptp.sk_c9 @t78))) % 16.01/16.20 (define @t215 () (or @t214 @t213)) % 16.01/16.20 (define @t216 () (forall (@list @t75) @t215)) % 16.01/16.20 (define @t217 () (tptp.multiply @t61 @t71)) % 16.01/16.20 (define @t218 () (not (= @t66 @t217))) % 16.01/16.20 (define @t219 () (not (= @t71 (tptp.inverse @t66)))) % 16.01/16.20 (define @t220 () (not (= tptp.sk_c11 (tptp.multiply @t71 tptp.sk_c10)))) % 16.01/16.20 (define @t221 () (not (= tptp.sk_c11 (tptp.multiply @t70 @t71)))) % 16.01/16.20 (define @t222 () (or @t221 @t220 @t219 @t218)) % 16.01/16.20 (define @t223 () (@list @t70 @t61)) % 16.01/16.20 (define @t224 () (forall @t223 @t222)) % 16.01/16.20 (define @t225 () (not (= tptp.sk_c11 (tptp.multiply @t89 tptp.sk_c9)))) % 16.01/16.20 (define @t226 () (not (= tptp.sk_c11 (tptp.multiply @t88 @t89)))) % 16.01/16.20 (define @t227 () (or @t226 @t225)) % 16.01/16.20 (define @t228 () (@list @t88)) % 16.01/16.20 (define @t229 () (forall @t228 @t227)) % 16.01/16.20 (define @t230 () (not (= @t66 @t66))) % 16.01/16.20 (define @t231 () (or @t221 @t220 @t230 @t219 @t218)) % 16.01/16.20 (define @t232 () (not (= @t59 @t217))) % 16.01/16.20 (define @t233 () (not (= @t71 @t64))) % 16.01/16.20 (define @t234 () (not (= @t59 @t66))) % 16.01/16.20 (define @t235 () (or @t234 @t221 @t220 @t234 @t233 @t232)) % 16.01/16.20 (define @t236 () (@list @t59)) % 16.01/16.20 (define @t237 () (or @t221 @t220 @t234 @t233 @t232)) % 16.01/16.20 (define @t238 () (forall @t236 @t237)) % 16.01/16.20 (define @t239 () (forall @t223 @t238)) % 16.01/16.20 (define @t240 () (@list @t70 @t61 @t59)) % 16.01/16.20 (define @t241 () (not (= @t71 @t71))) % 16.01/16.20 (define @t242 () (or @t221 @t241 @t220 @t234 @t233 @t232)) % 16.01/16.20 (define @t243 () (not (= @t59 @t62))) % 16.01/16.20 (define @t244 () (not (= @t60 @t64))) % 16.01/16.20 (define @t245 () (not (= tptp.sk_c11 @t68))) % 16.01/16.20 (define @t246 () (not (= @t60 @t71))) % 16.01/16.20 (define @t247 () (not (= tptp.sk_c11 @t73))) % 16.01/16.20 (define @t248 () (or @t246 @t247 @t246 @t245 @t234 @t244 @t243)) % 16.01/16.20 (define @t249 () (@list @t60)) % 16.01/16.20 (define @t250 () (or @t247 @t246 @t245 @t234 @t244 @t243)) % 16.01/16.20 (define @t251 () (forall @t249 @t250)) % 16.01/16.20 (define @t252 () (forall @t240 @t251)) % 16.01/16.20 (define @t253 () (forall (@list @t70 @t61 @t59 @t60) @t250)) % 16.01/16.20 (define @t254 () (forall (@list @t70 @t60 @t61 @t59) @t250)) % 16.01/16.20 (define @t255 () (not (= @t89 @t89))) % 16.01/16.20 (define @t256 () (or @t226 @t255 @t225)) % 16.01/16.20 (define @t257 () (not (= tptp.sk_c11 @t86))) % 16.01/16.20 (define @t258 () (not (= @t85 @t89))) % 16.01/16.20 (define @t259 () (not (= tptp.sk_c11 @t91))) % 16.01/16.20 (define @t260 () (or @t258 @t259 @t258 @t257)) % 16.01/16.20 (define @t261 () (@list @t85)) % 16.01/16.20 (define @t262 () (or @t259 @t258 @t257)) % 16.01/16.20 (define @t263 () (forall @t261 @t262)) % 16.01/16.20 (define @t264 () (forall @t228 @t263)) % 16.01/16.20 (define @t265 () (forall (@list @t88 @t85) @t262)) % 16.01/16.20 (define @t266 () (or @t172 @t187 @t265 @t121 @t216 @t254)) % 16.01/16.20 (define @t267 () (or @t172 @t187 @t262 @t120 @t215 @t250)) % 16.01/16.20 (define @t268 () (or @t172 @t187 @t259 @t258 @t257 @t119 @t118 @t214 @t213 @t247 @t246 @t245 @t234 @t244 @t243)) % 16.01/16.20 (define @t269 () (= tptp.sk_c11 @t38)) % 16.01/16.20 (define @t270 () (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 @t45))) % 16.01/16.20 (define @t271 () (and @t269 @t107)) % 16.01/16.20 (define @t272 () (= tptp.sk_c11 @t52)) % 16.01/16.20 (define @t273 () (tptp.multiply @t45 tptp.sk_c9)) % 16.01/16.20 (define @t274 () (= tptp.sk_c11 @t273)) % 16.01/16.20 (define @t275 () (and @t107 @t272)) % 16.01/16.20 (define @t276 () (not @t274)) % 16.01/16.20 (define @t277 () (not @t270)) % 16.01/16.20 (define @t278 () (or @t277 @t276)) % 16.01/16.20 (define @t279 () (@list tptp.sk_c1)) % 16.01/16.20 (define @t280 () (not @t272)) % 16.01/16.20 (define @t281 () (not @t107)) % 16.01/16.20 (define @t282 () (not @t269)) % 16.01/16.20 (define @t283 () (@list tptp.sk_c2)) % 16.01/16.20 (define @t284 () (tptp.multiply @t173 tptp.identity)) % 16.01/16.20 (define @t285 () (= tptp.identity @t284)) % 16.01/16.20 (define @t286 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.01/16.20 (define @t287 () (= tptp.sk_c1 @t286)) % 16.01/16.20 (define @t288 () (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) % 16.01/16.20 (define @t289 () (tptp.multiply @t45 tptp.sk_c1)) % 16.01/16.20 (define @t290 () (= tptp.identity @t289)) % 16.01/16.20 (define @t291 () (tptp.multiply @t45 @t38)) % 16.01/16.20 (define @t292 () (tptp.multiply @t289 tptp.sk_c2)) % 16.01/16.20 (define @t293 () (= @t292 @t291)) % 16.01/16.20 (define @t294 () (tptp.multiply tptp.sk_c2 tptp.sk_c11)) % 16.01/16.20 (define @t295 () (tptp.multiply tptp.sk_c1 @t294)) % 16.01/16.20 (define @t296 () (tptp.multiply @t38 tptp.sk_c11)) % 16.01/16.20 (define @t297 () (= @t296 @t295)) % 16.01/16.20 (define @t298 () (tptp.multiply @t173 @t177)) % 16.01/16.20 (define @t299 () (tptp.multiply @t284 tptp.sk_c9)) % 16.01/16.20 (define @t300 () (= @t299 @t298)) % 16.01/16.20 (define @t301 () (tptp.multiply tptp.sk_c2 tptp.sk_c1)) % 16.01/16.20 (define @t302 () (tptp.multiply tptp.sk_c1 @t301)) % 16.01/16.20 (define @t303 () (tptp.multiply @t38 tptp.sk_c1)) % 16.01/16.20 (define @t304 () (= @t303 @t302)) % 16.01/16.20 (define @t305 () (tptp.multiply tptp.sk_c1 tptp.sk_c11)) % 16.01/16.20 (define @t306 () (= tptp.sk_c11 (tptp.inverse tptp.sk_c2))) % 16.01/16.20 (define @t307 () (and @t103 @t176 @t269 @t107 @t272 @t285 @t123 @t127 @t178 @t287 @t288 @t290 @t293 @t297 @t181 @t300 @t304)) % 16.01/16.20 (define @t308 () (not @t304)) % 16.01/16.20 (define @t309 () (not @t300)) % 16.01/16.20 (define @t310 () (not @t297)) % 16.01/16.20 (define @t311 () (not @t293)) % 16.01/16.20 (define @t312 () (not @t290)) % 16.01/16.20 (define @t313 () (not @t288)) % 16.01/16.20 (define @t314 () (not @t287)) % 16.01/16.20 (define @t315 () (not @t285)) % 16.01/16.20 (define @t316 () (= tptp.sk_c10 @t294)) % 16.01/16.20 (define @t317 () (not @t306)) % 16.01/16.20 (define @t318 () (not @t316)) % 16.01/16.20 (define @t319 () (or @t318 @t317)) % 16.01/16.20 (define @t320 () (tptp.multiply @t173 @t124)) % 16.01/16.20 (define @t321 () (= (tptp.multiply @t284 tptp.sk_c10) @t320)) % 16.01/16.20 (define @t322 () (and @t103 @t176 @t269 @t107 @t272 @t285 @t123 @t125 @t127 @t178 @t287 @t288 @t290 @t293 @t297 @t181 @t300 @t304 @t321)) % 16.01/16.20 (define @t323 () (and @t103 @t176 @t269 @t107 @t272 @t285 @t123 @t127 @t190 @t178 @t287 @t288 @t290 @t293 @t297 @t181 @t300 @t304)) % 16.01/16.20 (define @t324 () (and @t103 @t269 @t107 @t123 @t127 @t131 @t288 @t290 @t293 @t297 @t181)) % 16.01/16.20 (define @t325 () (and @t103 @t109 @t176 @t269 @t107 @t285 @t123 @t125 @t127 @t129 @t133 @t178 @t288 @t290 @t293 @t297 @t181 @t300 @t321)) % 16.01/16.20 (define @t326 () (and @t103 @t109 @t269 @t107 @t123 @t127 @t129 @t133 @t288 @t290 @t293 @t297 @t181)) % 16.01/16.20 (define @t327 () (tptp.multiply tptp.sk_c11 @t122)) % 16.01/16.20 (define @t328 () (= (tptp.multiply @t135 tptp.sk_c11) @t327)) % 16.01/16.20 (define @t329 () (tptp.multiply @t149 tptp.sk_c11)) % 16.01/16.20 (define @t330 () (= @t329 (tptp.multiply @t138 @t140))) % 16.01/16.20 (define @t331 () (tptp.inverse @t14)) % 16.01/16.20 (define @t332 () (and @t103 @t109 @t269 @t107 @t123 @t125 @t127 @t129 @t190 @t133 @t328 @t137 @t150 @t288 @t290 @t293 @t297 @t181 @t330)) % 16.01/16.20 (define @t333 () (and @t103 @t109 @t111 @t112 @t176 @t269 @t107 @t285 @t123 @t127 @t129 @t133 @t178 @t288 @t290 @t293 @t297 @t181 @t300)) % 16.01/16.20 (define @t334 () (= tptp.sk_c9 @t17)) % 16.01/16.20 (define @t335 () (= tptp.sk_c10 @t19)) % 16.01/16.20 (define @t336 () (tptp.multiply @t19 @t17)) % 16.01/16.20 (define @t337 () (tptp.multiply @t19 tptp.sk_c4)) % 16.01/16.20 (define @t338 () (= (tptp.multiply @t337 tptp.sk_c10) @t336)) % 16.01/16.20 (define @t339 () (not @t338)) % 16.01/16.20 (define @t340 () (= tptp.identity @t337)) % 16.01/16.20 (define @t341 () (not @t340)) % 16.01/16.20 (define @t342 () (not @t335)) % 16.01/16.20 (define @t343 () (not @t334)) % 16.01/16.20 (define @t344 () (tptp.multiply tptp.sk_c4 tptp.sk_c11)) % 16.01/16.20 (define @t345 () (= tptp.sk_c10 @t344)) % 16.01/16.20 (define @t346 () (not @t345)) % 16.01/16.20 (define @t347 () (= false true)) % 16.01/16.20 (define @t348 () (and @t346 @t345)) % 16.01/16.20 (define @t349 () (@list true)) % 16.01/16.20 (define @t350 () (@list @t103)) % 16.01/16.20 (define @t351 () (tptp.inverse tptp.sk_c8)) % 16.01/16.20 (define @t352 () (tptp.multiply @t351 @t197)) % 16.01/16.20 (define @t353 () (tptp.multiply @t351 tptp.sk_c8)) % 16.01/16.20 (define @t354 () (tptp.multiply @t353 tptp.sk_c11)) % 16.01/16.20 (define @t355 () (= @t354 @t352)) % 16.01/16.20 (define @t356 () (not @t355)) % 16.01/16.20 (define @t357 () (tptp.multiply @t24 @t21)) % 16.01/16.20 (define @t358 () (tptp.multiply @t24 tptp.sk_c5)) % 16.01/16.20 (define @t359 () (tptp.multiply @t358 tptp.sk_c8)) % 16.01/16.20 (define @t360 () (= @t359 @t357)) % 16.01/16.20 (define @t361 () (not @t360)) % 16.01/16.20 (define @t362 () (= tptp.identity @t353)) % 16.01/16.20 (define @t363 () (not @t362)) % 16.01/16.20 (define @t364 () (= tptp.identity @t358)) % 16.01/16.20 (define @t365 () (not @t364)) % 16.01/16.20 (define @t366 () (tptp.multiply tptp.identity tptp.sk_c8)) % 16.01/16.20 (define @t367 () (= tptp.sk_c8 @t366)) % 16.01/16.20 (define @t368 () (not @t367)) % 16.01/16.20 (define @t369 () (not @t110)) % 16.01/16.20 (define @t370 () (= tptp.sk_c11 @t331)) % 16.01/16.20 (define @t371 () (not @t370)) % 16.01/16.20 (define @t372 () (and @t371 @t370)) % 16.01/16.20 (assume @p1 @t4) % 16.01/16.20 (assume @p2 @t6) % 16.01/16.20 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.01/16.20 (assume @p4 @t13) % 16.01/16.20 (assume @p5 @t16) % 16.01/16.20 (assume @p6 (or @t12 @t18)) % 16.01/16.20 (assume @p7 (or @t12 @t20)) % 16.01/16.20 (assume @p8 @t23) % 16.01/16.20 (assume @p9 @t26) % 16.01/16.20 (assume @p10 (or @t12 @t28)) % 16.01/16.20 (assume @p11 (or @t12 @t29)) % 16.01/16.20 (assume @p12 (or @t12 @t30)) % 16.01/16.20 (assume @p13 (or @t12 @t31)) % 16.01/16.20 (assume @p14 @t34) % 16.01/16.20 (assume @p15 @t35) % 16.01/16.20 (assume @p16 @t36) % 16.01/16.20 (assume @p17 @t37) % 16.01/16.20 (assume @p18 (or @t33 @t22)) % 16.01/16.20 (assume @p19 (or @t33 @t25)) % 16.01/16.20 (assume @p20 (or @t33 @t28)) % 16.01/16.20 (assume @p21 (or @t33 @t29)) % 16.01/16.20 (assume @p22 (or @t33 @t30)) % 16.01/16.20 (assume @p23 (or @t33 @t31)) % 16.01/16.20 (assume @p24 @t40) % 16.01/16.20 (assume @p25 @t41) % 16.01/16.20 (assume @p26 (or @t39 @t18)) % 16.01/16.20 (assume @p27 (or @t39 @t20)) % 16.01/16.20 (assume @p28 @t42) % 16.01/16.20 (assume @p29 @t43) % 16.01/16.20 (assume @p30 @t44) % 16.01/16.20 (assume @p31 (or @t39 @t29)) % 16.01/16.20 (assume @p32 (or @t39 @t30)) % 16.01/16.20 (assume @p33 (or @t39 @t31)) % 16.01/16.20 (assume @p34 @t47) % 16.01/16.20 (assume @p35 @t48) % 16.01/16.20 (assume @p36 (or @t46 @t18)) % 16.01/16.20 (assume @p37 (or @t46 @t20)) % 16.01/16.20 (assume @p38 @t49) % 16.01/16.20 (assume @p39 @t50) % 16.01/16.20 (assume @p40 @t51) % 16.01/16.20 (assume @p41 (or @t46 @t29)) % 16.01/16.20 (assume @p42 (or @t46 @t30)) % 16.01/16.20 (assume @p43 (or @t46 @t31)) % 16.01/16.20 (assume @p44 @t54) % 16.01/16.20 (assume @p45 @t55) % 16.01/16.20 (assume @p46 (or @t53 @t18)) % 16.01/16.20 (assume @p47 (or @t53 @t20)) % 16.01/16.20 (assume @p48 @t56) % 16.01/16.20 (assume @p49 @t57) % 16.01/16.20 (assume @p50 @t58) % 16.01/16.20 (assume @p51 (or @t53 @t29)) % 16.01/16.20 (assume @p52 (or @t53 @t30)) % 16.01/16.20 (assume @p53 (or @t53 @t31)) % 16.01/16.20 (assume @p54 @t97) % 16.01/16.20 (step @p55 :rule eq-symm :args (@t2 @t1)) % 16.01/16.20 (step @p56 :rule cong :premises (@p55) :args (@t4)) % 16.01/16.20 (step @p57 :rule eq_resolve :premises (@p1 @p56)) % 16.01/16.20 (step @p58 :rule instantiate :premises (@p57) :args (@t98)) % 16.01/16.20 (step @p59 :rule instantiate :premises (@p57) :args (@t99)) % 16.01/16.20 (step @p60 :rule instantiate :premises (@p57) :args (@t100)) % 16.01/16.20 (step @p61 :rule eq-symm :args (@t5 tptp.identity)) % 16.01/16.20 (step @p62 :rule cong :premises (@p61) :args (@t6)) % 16.01/16.20 (step @p63 :rule eq_resolve :premises (@p2 @p62)) % 16.01/16.20 (step @p64 :rule instantiate :premises (@p63) :args (@t100)) % 16.01/16.20 (step @p65 :rule instantiate :premises (@p57) :args (@t101)) % 16.01/16.20 (step @p66 :rule instantiate :premises (@p63) :args (@t102)) % 16.01/16.20 (step @p67 :rule instantiate :premises (@p63) :args (@t101)) % 16.01/16.20 (step @p68 :rule instantiate :premises (@p3) :args ((@list @t24 tptp.sk_c5 tptp.sk_c8))) % 16.01/16.20 (step @p69 :rule instantiate :premises (@p3) :args ((@list @t14 tptp.sk_c3 tptp.sk_c11))) % 16.01/16.20 (assume-push @p2889 @t103) % 16.01/16.20 (assume-push @p2890 @t103) % 16.01/16.20 (step @p72 :rule cong :premises (@p2889) :args (@t104)) % 16.01/16.20 (step-pop @p2891 :rule scope :premises (@p72)) % 16.01/16.20 (step @p73 :rule process_scope :premises (@p2891) :args (@t106)) % 16.01/16.20 (step @p75 :rule modus_ponens :premises (@p2889 @p73)) % 16.01/16.20 (step-pop @p2892 :rule scope :premises (@p75)) % 16.01/16.20 (step @p76 :rule process_scope :premises (@p2892) :args (@t106)) % 16.01/16.20 (step @p78 :rule implies_elim :premises (@p76)) % 16.01/16.20 (step @p79 :rule eq-symm :args (@t9 tptp.sk_c10)) % 16.01/16.20 (step @p80 :rule eq-symm :args (@t45 tptp.sk_c2)) % 16.01/16.20 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t47)) % 16.01/16.20 (step @p82 :rule eq_resolve :premises (@p34 @p81)) % 16.01/16.20 (step @p83 :rule reordering :premises (@p82) :args ((or @t108 @t107))) % 16.01/16.20 (step @p84 :rule eq-symm :args (@t14 tptp.sk_c11)) % 16.01/16.20 (step @p85 :rule nary_cong :premises (@p80 @p84) :args (@t48)) % 16.01/16.20 (step @p86 :rule eq_resolve :premises (@p35 @p85)) % 16.01/16.20 (step @p87 :rule reordering :premises (@p86) :args ((or @t109 @t107))) % 16.01/16.20 (step @p88 :rule eq-symm :args (@t21 tptp.sk_c11)) % 16.01/16.20 (step @p89 :rule nary_cong :premises (@p80 @p88) :args (@t49)) % 16.01/16.20 (step @p90 :rule eq_resolve :premises (@p38 @p89)) % 16.01/16.20 (step @p91 :rule reordering :premises (@p90) :args ((or @t110 @t107))) % 16.01/16.20 (step @p92 :rule eq-symm :args (@t24 tptp.sk_c8)) % 16.01/16.20 (step @p93 :rule nary_cong :premises (@p80 @p92) :args (@t50)) % 16.01/16.20 (step @p94 :rule eq_resolve :premises (@p39 @p93)) % 16.01/16.20 (step @p95 :rule reordering :premises (@p94) :args ((or @t111 @t107))) % 16.01/16.20 (step @p96 :rule eq-symm :args (@t27 tptp.sk_c11)) % 16.01/16.20 (step @p97 :rule nary_cong :premises (@p80 @p96) :args (@t51)) % 16.01/16.20 (step @p98 :rule eq_resolve :premises (@p40 @p97)) % 16.01/16.20 (step @p99 :rule reordering :premises (@p98) :args ((or @t112 @t107))) % 16.01/16.20 (step @p100 :rule cnf_or_pos :args (@t115)) % 16.01/16.20 (step @p101 :rule reordering :premises (@p100) :args ((or @t114 @t113 (not @t115)))) % 16.01/16.20 (assume-push @p2893 @t110) % 16.01/16.20 (assume-push @p2894 @t111) % 16.01/16.20 (assume-push @p2895 @t111) % 16.01/16.20 (assume-push @p2896 @t110) % 16.01/16.20 (step @p106 :rule refl :args (tptp.sk_c5)) % 16.01/16.20 (step @p107 :rule cong :premises (@p106 @p2894) :args (@t21)) % 16.01/16.20 (step @p108 :rule trans :premises (@p2893 @p107)) % 16.01/16.20 (step-pop @p2897 :rule scope :premises (@p108)) % 16.01/16.20 (step-pop @p2898 :rule scope :premises (@p2897)) % 16.01/16.20 (step @p109 :rule process_scope :premises (@p2898) :args (@t116)) % 16.01/16.20 (step @p112 :rule and_intro :premises (@p2894 @p2893)) % 16.01/16.20 (step @p113 :rule modus_ponens :premises (@p112 @p109)) % 16.01/16.20 (step-pop @p2899 :rule scope :premises (@p113)) % 16.01/16.20 (step-pop @p2900 :rule scope :premises (@p2899)) % 16.01/16.20 (step @p114 :rule process_scope :premises (@p2900) :args (@t116)) % 16.01/16.20 (step @p117 :rule implies_elim :premises (@p114)) % 16.01/16.20 (step @p118 :rule cnf_and_neg :args (@t117)) % 16.01/16.20 (step @p119 :rule resolution :premises (@p118 @p117) :args (true @t117)) % 16.01/16.20 (assume-push @p2901 @t121) % 16.01/16.20 (step @p121 :rule instantiate :premises (@p2901) :args (@t100)) % 16.01/16.20 (step-pop @p2902 :rule scope :premises (@p121)) % 16.01/16.20 (step @p122 :rule process_scope :premises (@p2902) :args (@t115)) % 16.01/16.20 (step @p124 :rule implies_elim :premises (@p122)) % 16.01/16.20 (step @p125 :rule instantiate :premises (@p63) :args (@t98)) % 16.01/16.20 (step @p126 :rule instantiate :premises (@p63) :args (@t99)) % 16.01/16.20 (step @p127 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.identity tptp.sk_c10))) % 16.01/16.20 (step @p128 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c11 tptp.sk_c10))) % 16.01/16.20 (step @p129 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c10 tptp.identity))) % 16.01/16.20 (step @p130 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c10 tptp.sk_c11))) % 16.01/16.20 (step @p131 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c10 tptp.sk_c11 tptp.sk_c3))) % 16.01/16.20 (assume-push @p2903 @t103) % 16.01/16.20 (assume-push @p2904 @t108) % 16.01/16.20 (assume-push @p2905 @t109) % 16.01/16.20 (assume-push @p2906 @t123) % 16.01/16.20 (assume-push @p2907 @t125) % 16.01/16.20 (assume-push @p2908 @t127) % 16.01/16.20 (assume-push @p2909 @t129) % 16.01/16.20 (assume-push @p2910 @t131) % 16.01/16.20 (assume-push @p2911 @t133) % 16.01/16.20 (assume-push @p2912 @t137) % 16.01/16.20 (assume-push @p2913 @t142) % 16.01/16.20 (assume-push @p2914 @t146) % 16.01/16.20 (assume-push @p2915 @t150) % 16.01/16.20 (assume-push @p2916 @t154) % 16.01/16.20 (assume-push @p2917 @t157) % 16.01/16.20 (assume-push @p2918 @t131) % 16.01/16.20 (assume-push @p2919 @t133) % 16.01/16.20 (assume-push @p2920 @t109) % 16.01/16.20 (assume-push @p2921 @t129) % 16.01/16.20 (assume-push @p2922 @t127) % 16.01/16.20 (assume-push @p2923 @t103) % 16.01/16.20 (assume-push @p2924 @t154) % 16.01/16.20 (assume-push @p2925 @t146) % 16.01/16.20 (assume-push @p2926 @t108) % 16.01/16.20 (assume-push @p2927 @t157) % 16.01/16.20 (assume-push @p2928 @t123) % 16.01/16.20 (assume-push @p2929 @t150) % 16.01/16.20 (assume-push @p2930 @t142) % 16.01/16.20 (assume-push @p2931 @t137) % 16.01/16.20 (assume-push @p2932 @t125) % 16.01/16.20 (step @p162 :rule symm :premises (@p64)) % 16.01/16.20 (step @p163 :rule refl :args (tptp.sk_c3)) % 16.01/16.20 (step @p164 :rule cong :premises (@p2905 @p163) :args (@t151)) % 16.01/16.20 (step @p165 :rule symm :premises (@p60)) % 16.01/16.20 (step @p166 :rule symm :premises (@p125)) % 16.01/16.20 (step @p167 :rule refl :args (tptp.sk_c11)) % 16.01/16.20 (step @p168 :rule cong :premises (@p2903 @p167) :args (@t147)) % 16.01/16.20 (step @p169 :rule trans :premises (@p168 @p166)) % 16.01/16.20 (step @p170 :rule cong :premises (@p169 @p163) :args (@t153)) % 16.01/16.20 (step @p171 :rule symm :premises (@p131)) % 16.01/16.20 (step @p172 :rule symm :premises (@p164)) % 16.01/16.20 (step @p173 :rule trans :premises (@p64 @p172)) % 16.01/16.20 (step @p174 :rule refl :args (tptp.sk_c10)) % 16.01/16.20 (step @p175 :rule cong :premises (@p174 @p173) :args (@t143)) % 16.01/16.20 (step @p176 :rule trans :premises (@p175 @p171 @p170 @p165)) % 16.01/16.20 (step @p177 :rule cong :premises (@p167 @p176) :args (@t144)) % 16.01/16.20 (step @p178 :rule refl :args (tptp.identity)) % 16.01/16.20 (step @p179 :rule symm :premises (@p2904)) % 16.01/16.20 (step @p180 :rule symm :premises (@p2905)) % 16.01/16.20 (step @p181 :rule cong :premises (@p180 @p179) :args (@t155)) % 16.01/16.20 (step @p182 :rule cong :premises (@p64 @p167) :args (@t122)) % 16.01/16.20 (step @p183 :rule trans :premises (@p58 @p182 @p69 @p181)) % 16.01/16.20 (step @p184 :rule symm :premises (@p58)) % 16.01/16.20 (step @p185 :rule trans :premises (@p184 @p183)) % 16.01/16.20 (step @p186 :rule cong :premises (@p185 @p178) :args (@t158)) % 16.01/16.20 (step @p187 :rule cong :premises (@p58 @p169) :args (@t148)) % 16.01/16.20 (step @p188 :rule cong :premises (@p183 @p167) :args (@t140)) % 16.01/16.20 (step @p189 :rule symm :premises (@p183)) % 16.01/16.20 (step @p190 :rule cong :premises (@p167 @p189) :args (@t139)) % 16.01/16.20 (step @p191 :rule symm :premises (@p188)) % 16.01/16.20 (step @p192 :rule symm :premises (@p130)) % 16.01/16.20 (step @p193 :rule symm :premises (@p187)) % 16.01/16.20 (step @p194 :rule cong :premises (@p58 @p178) :args (@t135)) % 16.01/16.20 (step @p195 :rule trans :premises (@p194 @p193 @p192 @p191)) % 16.01/16.20 (step @p196 :rule cong :premises (@p195 @p174) :args (@t136)) % 16.01/16.20 (step @p197 :rule symm :premises (@p127)) % 16.01/16.20 (step @p198 :rule cong :premises (@p167 @p59) :args (@t138)) % 16.01/16.20 (step @p199 :rule trans :premises (@p58 @p182 @p69 @p181 @p198 @p197 @p196 @p128 @p190 @p188 @p130 @p187 @p186 @p129 @p177 @p164 @p162 @p126)) % 16.01/16.20 (step-pop @p2933 :rule scope :premises (@p199)) % 16.01/16.20 (step-pop @p2934 :rule scope :premises (@p2933)) % 16.01/16.20 (step-pop @p2935 :rule scope :premises (@p2934)) % 16.01/16.20 (step-pop @p2936 :rule scope :premises (@p2935)) % 16.01/16.20 (step-pop @p2937 :rule scope :premises (@p2936)) % 16.01/16.20 (step-pop @p2938 :rule scope :premises (@p2937)) % 16.01/16.20 (step-pop @p2939 :rule scope :premises (@p2938)) % 16.01/16.20 (step-pop @p2940 :rule scope :premises (@p2939)) % 16.01/16.20 (step-pop @p2941 :rule scope :premises (@p2940)) % 16.01/16.20 (step-pop @p2942 :rule scope :premises (@p2941)) % 16.01/16.20 (step-pop @p2943 :rule scope :premises (@p2942)) % 16.01/16.20 (step-pop @p2944 :rule scope :premises (@p2943)) % 16.01/16.20 (step-pop @p2945 :rule scope :premises (@p2944)) % 16.01/16.20 (step-pop @p2946 :rule scope :premises (@p2945)) % 16.01/16.20 (step-pop @p2947 :rule scope :premises (@p2946)) % 16.01/16.20 (step @p200 :rule process_scope :premises (@p2947) :args (@t159)) % 16.01/16.20 (step @p216 :rule and_intro :premises (@p126 @p64 @p2905 @p60 @p125 @p2903 @p131 @p129 @p2904 @p69 @p58 @p130 @p128 @p127 @p59)) % 16.01/16.20 (step @p217 :rule modus_ponens :premises (@p216 @p200)) % 16.01/16.20 (step-pop @p2948 :rule scope :premises (@p217)) % 16.01/16.20 (step-pop @p2949 :rule scope :premises (@p2948)) % 16.01/16.20 (step-pop @p2950 :rule scope :premises (@p2949)) % 16.01/16.20 (step-pop @p2951 :rule scope :premises (@p2950)) % 16.01/16.20 (step-pop @p2952 :rule scope :premises (@p2951)) % 16.01/16.20 (step-pop @p2953 :rule scope :premises (@p2952)) % 16.01/16.20 (step-pop @p2954 :rule scope :premises (@p2953)) % 16.01/16.20 (step-pop @p2955 :rule scope :premises (@p2954)) % 16.01/16.20 (step-pop @p2956 :rule scope :premises (@p2955)) % 16.01/16.20 (step-pop @p2957 :rule scope :premises (@p2956)) % 16.01/16.20 (step-pop @p2958 :rule scope :premises (@p2957)) % 16.01/16.20 (step-pop @p2959 :rule scope :premises (@p2958)) % 16.01/16.20 (step-pop @p2960 :rule scope :premises (@p2959)) % 16.01/16.20 (step-pop @p2961 :rule scope :premises (@p2960)) % 16.01/16.20 (step-pop @p2962 :rule scope :premises (@p2961)) % 16.01/16.20 (step @p218 :rule process_scope :premises (@p2962) :args (@t159)) % 16.01/16.20 (step @p234 :rule implies_elim :premises (@p218)) % 16.01/16.20 (step @p235 :rule cnf_and_neg :args (@t160)) % 16.01/16.20 (step @p236 :rule resolution :premises (@p235 @p234) :args (true @t160)) % 16.01/16.20 (step @p237 :rule reordering :premises (@p236) :args ((or @t172 @t114 @t113 @t171 @t170 @t169 @t168 (not @t131) @t167 @t166 @t165 @t164 @t163 @t159 @t162 @t161))) % 16.01/16.20 (assume-push @p2963 @t103) % 16.01/16.20 (assume-push @p2964 @t108) % 16.01/16.20 (assume-push @p2965 @t109) % 16.01/16.20 (assume-push @p2966 @t123) % 16.01/16.20 (assume-push @p2967 @t125) % 16.01/16.20 (assume-push @p2968 @t127) % 16.01/16.20 (assume-push @p2969 @t129) % 16.01/16.20 (assume-push @p2970 @t133) % 16.01/16.20 (assume-push @p2971 @t137) % 16.01/16.20 (assume-push @p2972 @t142) % 16.01/16.20 (assume-push @p2973 @t146) % 16.01/16.20 (assume-push @p2974 @t150) % 16.01/16.20 (assume-push @p2975 @t154) % 16.01/16.20 (assume-push @p2976 @t157) % 16.01/16.20 (assume-push @p2977 @t125) % 16.01/16.20 (assume-push @p2978 @t133) % 16.01/16.20 (assume-push @p2979 @t109) % 16.01/16.20 (assume-push @p2980 @t129) % 16.01/16.20 (assume-push @p2981 @t127) % 16.01/16.20 (assume-push @p2982 @t103) % 16.01/16.20 (assume-push @p2983 @t154) % 16.01/16.20 (assume-push @p2984 @t146) % 16.01/16.20 (assume-push @p2985 @t108) % 16.01/16.20 (assume-push @p2986 @t157) % 16.01/16.20 (assume-push @p2987 @t123) % 16.01/16.20 (assume-push @p2988 @t150) % 16.01/16.20 (assume-push @p2989 @t142) % 16.01/16.20 (assume-push @p2990 @t137) % 16.01/16.20 (step @p266 :rule symm :premises (@p59)) % 16.01/16.20 (step @p174 :rule refl :args (tptp.sk_c10)) % 16.01/16.20 (step @p162 :rule symm :premises (@p64)) % 16.01/16.20 (step @p163 :rule refl :args (tptp.sk_c3)) % 16.01/16.20 (step @p267 :rule cong :premises (@p2965 @p163) :args (@t151)) % 16.01/16.20 (step @p165 :rule symm :premises (@p60)) % 16.01/16.20 (step @p166 :rule symm :premises (@p125)) % 16.01/16.20 (step @p167 :rule refl :args (tptp.sk_c11)) % 16.01/16.20 (step @p268 :rule cong :premises (@p2963 @p167) :args (@t147)) % 16.01/16.20 (step @p269 :rule trans :premises (@p268 @p166)) % 16.01/16.20 (step @p270 :rule cong :premises (@p269 @p163) :args (@t153)) % 16.01/16.20 (step @p171 :rule symm :premises (@p131)) % 16.01/16.20 (step @p271 :rule symm :premises (@p267)) % 16.01/16.20 (step @p272 :rule trans :premises (@p64 @p271)) % 16.01/16.20 (step @p273 :rule cong :premises (@p174 @p272) :args (@t143)) % 16.01/16.20 (step @p274 :rule trans :premises (@p273 @p171 @p270 @p165)) % 16.01/16.20 (step @p275 :rule cong :premises (@p167 @p274) :args (@t144)) % 16.01/16.20 (step @p178 :rule refl :args (tptp.identity)) % 16.01/16.20 (step @p276 :rule symm :premises (@p2964)) % 16.01/16.20 (step @p277 :rule symm :premises (@p2965)) % 16.01/16.20 (step @p278 :rule cong :premises (@p277 @p276) :args (@t155)) % 16.01/16.20 (step @p182 :rule cong :premises (@p64 @p167) :args (@t122)) % 16.01/16.20 (step @p279 :rule trans :premises (@p58 @p182 @p69 @p278)) % 16.01/16.20 (step @p184 :rule symm :premises (@p58)) % 16.01/16.20 (step @p280 :rule trans :premises (@p184 @p279)) % 16.01/16.20 (step @p281 :rule cong :premises (@p280 @p178) :args (@t158)) % 16.01/16.20 (step @p282 :rule cong :premises (@p58 @p269) :args (@t148)) % 16.01/16.20 (step @p283 :rule cong :premises (@p279 @p167) :args (@t140)) % 16.01/16.20 (step @p284 :rule trans :premises (@p283 @p130 @p282 @p281 @p129 @p275 @p267 @p162)) % 16.01/16.20 (step @p285 :rule cong :premises (@p284 @p174) :args (@t141)) % 16.01/16.20 (step @p286 :rule symm :premises (@p128)) % 16.01/16.20 (step @p287 :rule cong :premises (@p167 @p279) :args (@t140)) % 16.01/16.20 (step @p288 :rule symm :premises (@p283)) % 16.01/16.20 (step @p192 :rule symm :premises (@p130)) % 16.01/16.20 (step @p289 :rule symm :premises (@p282)) % 16.01/16.20 (step @p290 :rule symm :premises (@p281)) % 16.01/16.20 (step @p291 :rule symm :premises (@p129)) % 16.01/16.20 (step @p292 :rule symm :premises (@p275)) % 16.01/16.20 (step @p293 :rule trans :premises (@p64 @p271 @p292 @p291 @p290 @p289 @p192 @p288 @p287 @p286 @p285 @p266)) % 16.01/16.20 (step @p294 :rule cong :premises (@p293) :args (@t173)) % 16.01/16.20 (step @p295 :rule symm :premises (@p287)) % 16.01/16.20 (step @p194 :rule cong :premises (@p58 @p178) :args (@t135)) % 16.01/16.20 (step @p296 :rule trans :premises (@p194 @p289 @p192 @p288)) % 16.01/16.20 (step @p297 :rule cong :premises (@p296 @p174) :args (@t136)) % 16.01/16.20 (step @p197 :rule symm :premises (@p127)) % 16.01/16.20 (step @p198 :rule cong :premises (@p167 @p59) :args (@t138)) % 16.01/16.20 (step @p298 :rule trans :premises (@p58 @p182 @p69 @p278 @p198 @p197 @p297 @p128 @p295 @p283 @p130 @p282 @p281 @p129 @p275 @p267 @p162)) % 16.01/16.20 (step @p299 :rule cong :premises (@p298) :args (@t11)) % 16.01/16.20 (step @p300 :rule trans :premises (@p2963 @p299 @p294)) % 16.01/16.20 (step-pop @p2991 :rule scope :premises (@p300)) % 16.01/16.20 (step-pop @p2992 :rule scope :premises (@p2991)) % 16.01/16.20 (step-pop @p2993 :rule scope :premises (@p2992)) % 16.01/16.20 (step-pop @p2994 :rule scope :premises (@p2993)) % 16.01/16.20 (step-pop @p2995 :rule scope :premises (@p2994)) % 16.01/16.20 (step-pop @p2996 :rule scope :premises (@p2995)) % 16.01/16.20 (step-pop @p2997 :rule scope :premises (@p2996)) % 16.01/16.20 (step-pop @p2998 :rule scope :premises (@p2997)) % 16.01/16.20 (step-pop @p2999 :rule scope :premises (@p2998)) % 16.01/16.20 (step-pop @p3000 :rule scope :premises (@p2999)) % 16.01/16.20 (step-pop @p3001 :rule scope :premises (@p3000)) % 16.01/16.20 (step-pop @p3002 :rule scope :premises (@p3001)) % 16.01/16.20 (step-pop @p3003 :rule scope :premises (@p3002)) % 16.01/16.20 (step-pop @p3004 :rule scope :premises (@p3003)) % 16.01/16.20 (step @p301 :rule process_scope :premises (@p3004) :args (@t174)) % 16.01/16.20 (step @p316 :rule and_intro :premises (@p59 @p64 @p2965 @p60 @p125 @p2963 @p131 @p129 @p2964 @p69 @p58 @p130 @p128 @p127)) % 16.01/16.20 (step @p317 :rule modus_ponens :premises (@p316 @p301)) % 16.01/16.20 (step-pop @p3005 :rule scope :premises (@p317)) % 16.01/16.20 (step-pop @p3006 :rule scope :premises (@p3005)) % 16.01/16.20 (step-pop @p3007 :rule scope :premises (@p3006)) % 16.01/16.20 (step-pop @p3008 :rule scope :premises (@p3007)) % 16.01/16.20 (step-pop @p3009 :rule scope :premises (@p3008)) % 16.01/16.20 (step-pop @p3010 :rule scope :premises (@p3009)) % 16.01/16.20 (step-pop @p3011 :rule scope :premises (@p3010)) % 16.01/16.20 (step-pop @p3012 :rule scope :premises (@p3011)) % 16.01/16.20 (step-pop @p3013 :rule scope :premises (@p3012)) % 16.01/16.20 (step-pop @p3014 :rule scope :premises (@p3013)) % 16.01/16.20 (step-pop @p3015 :rule scope :premises (@p3014)) % 16.01/16.20 (step-pop @p3016 :rule scope :premises (@p3015)) % 16.01/16.20 (step-pop @p3017 :rule scope :premises (@p3016)) % 16.01/16.20 (step-pop @p3018 :rule scope :premises (@p3017)) % 16.01/16.20 (step @p318 :rule process_scope :premises (@p3018) :args (@t174)) % 16.01/16.20 (step @p333 :rule implies_elim :premises (@p318)) % 16.01/16.20 (step @p334 :rule cnf_and_neg :args (@t175)) % 16.01/16.20 (step @p335 :rule resolution :premises (@p334 @p333) :args (true @t175)) % 16.01/16.20 (step @p336 :rule reordering :premises (@p335) :args ((or @t172 @t114 @t113 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t174 @t162 @t161))) % 16.01/16.20 (step @p337 :rule instantiate :premises (@p57) :args ((@list tptp.sk_c9))) % 16.01/16.20 (step @p338 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c10 tptp.sk_c11 tptp.sk_c11))) % 16.01/16.20 (assume-push @p3019 @t103) % 16.01/16.20 (assume-push @p3020 @t108) % 16.01/16.20 (assume-push @p3021 @t109) % 16.01/16.20 (assume-push @p3022 @t176) % 16.01/16.20 (assume-push @p3023 @t123) % 16.01/16.20 (assume-push @p3024 @t125) % 16.01/16.20 (assume-push @p3025 @t127) % 16.01/16.20 (assume-push @p3026 @t129) % 16.01/16.20 (assume-push @p3027 @t133) % 16.01/16.20 (assume-push @p3028 @t178) % 16.01/16.20 (assume-push @p3029 @t142) % 16.01/16.20 (assume-push @p3030 @t146) % 16.01/16.20 (assume-push @p3031 @t150) % 16.01/16.20 (assume-push @p3032 @t181) % 16.01/16.20 (assume-push @p3033 @t154) % 16.01/16.20 (assume-push @p3034 @t157) % 16.01/16.20 (assume-push @p3035 @t125) % 16.01/16.20 (assume-push @p3036 @t133) % 16.01/16.20 (assume-push @p3037 @t109) % 16.01/16.20 (assume-push @p3038 @t129) % 16.01/16.20 (assume-push @p3039 @t127) % 16.01/16.20 (assume-push @p3040 @t103) % 16.01/16.20 (assume-push @p3041 @t154) % 16.01/16.20 (assume-push @p3042 @t146) % 16.01/16.20 (assume-push @p3043 @t108) % 16.01/16.20 (assume-push @p3044 @t157) % 16.01/16.20 (assume-push @p3045 @t123) % 16.01/16.20 (assume-push @p3046 @t150) % 16.01/16.20 (assume-push @p3047 @t142) % 16.01/16.20 (assume-push @p3048 @t181) % 16.01/16.20 (assume-push @p3049 @t176) % 16.01/16.20 (assume-push @p3050 @t178) % 16.01/16.20 (step @p174 :rule refl :args (tptp.sk_c10)) % 16.01/16.20 (step @p266 :rule symm :premises (@p59)) % 16.01/16.20 (step @p371 :rule cong :premises (@p266 @p174) :args (@t182)) % 16.01/16.21 (step @p162 :rule symm :premises (@p64)) % 16.01/16.21 (step @p163 :rule refl :args (tptp.sk_c3)) % 16.01/16.21 (step @p372 :rule cong :premises (@p3021 @p163) :args (@t151)) % 16.01/16.21 (step @p165 :rule symm :premises (@p60)) % 16.01/16.21 (step @p166 :rule symm :premises (@p125)) % 16.01/16.21 (step @p167 :rule refl :args (tptp.sk_c11)) % 16.01/16.21 (step @p373 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16.01/16.21 (step @p397 :rule refl :args (tptp.sk_c9)) % 16.01/16.21 (step @p398 :rule symm :premises (@p389)) % 16.01/16.21 (step @p399 :rule trans :premises (@p398 @p392)) % 16.01/16.21 (step @p400 :rule cong :premises (@p399 @p397) :args (@t177)) % 16.01/16.21 (step @p401 :rule trans :premises (@p337 @p400 @p396 @p58 @p395 @p338 @p393 @p371)) % 16.01/16.21 (step-pop @p3051 :rule scope :premises (@p401)) % 16.01/16.21 (step-pop @p3052 :rule scope :premises (@p3051)) % 16.01/16.21 (step-pop @p3053 :rule scope :premises (@p3052)) % 16.01/16.21 (step-pop @p3054 :rule scope :premises (@p3053)) % 16.01/16.21 (step-pop @p3055 :rule scope :premises (@p3054)) % 16.01/16.21 (step-pop @p3056 :rule scope :premises (@p3055)) % 16.01/16.21 (step-pop @p3057 :rule scope :premises (@p3056)) % 16.01/16.21 (step-pop @p3058 :rule scope :premises (@p3057)) % 16.01/16.21 (step-pop @p3059 :rule scope :premises (@p3058)) % 16.01/16.21 (step-pop @p3060 :rule scope :premises (@p3059)) % 16.01/16.21 (step-pop 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(assume-push @p3101 @t129) % 16.01/16.21 (assume-push @p3102 @t127) % 16.01/16.21 (assume-push @p3103 @t103) % 16.01/16.21 (assume-push @p3104 @t154) % 16.01/16.21 (assume-push @p3105 @t146) % 16.01/16.21 (assume-push @p3106 @t108) % 16.01/16.21 (assume-push @p3107 @t157) % 16.01/16.21 (assume-push @p3108 @t123) % 16.01/16.21 (assume-push @p3109 @t150) % 16.01/16.21 (assume-push @p3110 @t142) % 16.01/16.21 (assume-push @p3111 @t137) % 16.01/16.21 (assume-push @p3112 @t190) % 16.01/16.21 (step @p266 :rule symm :premises (@p59)) % 16.01/16.21 (step @p174 :rule refl :args (tptp.sk_c10)) % 16.01/16.21 (step @p162 :rule symm :premises (@p64)) % 16.01/16.21 (step @p163 :rule refl :args (tptp.sk_c3)) % 16.01/16.21 (step @p473 :rule cong :premises (@p3085 @p163) :args (@t151)) % 16.01/16.21 (step @p165 :rule symm :premises (@p60)) % 16.01/16.21 (step @p166 :rule symm :premises (@p125)) % 16.01/16.21 (step @p167 :rule refl :args (tptp.sk_c11)) % 16.01/16.21 (step @p474 :rule cong :premises (@p3083 @p167) :args (@t147)) % 16.01/16.21 (step @p475 :rule trans :premises (@p474 @p166)) % 16.01/16.21 (step @p476 :rule cong :premises (@p475 @p163) :args (@t153)) % 16.01/16.21 (step @p171 :rule symm :premises (@p131)) % 16.01/16.21 (step @p477 :rule symm :premises (@p473)) % 16.01/16.21 (step @p478 :rule trans :premises (@p64 @p477)) % 16.01/16.21 (step @p479 :rule cong :premises (@p174 @p478) :args (@t143)) % 16.01/16.21 (step @p480 :rule trans :premises (@p479 @p171 @p476 @p165)) % 16.01/16.21 (step @p481 :rule cong :premises (@p167 @p480) :args (@t144)) % 16.01/16.21 (step @p178 :rule refl :args (tptp.identity)) % 16.01/16.21 (step @p482 :rule symm :premises (@p3084)) % 16.01/16.21 (step @p483 :rule symm :premises (@p3085)) % 16.01/16.21 (step @p484 :rule cong :premises (@p483 @p482) :args (@t155)) % 16.01/16.21 (step @p182 :rule cong :premises (@p64 @p167) :args (@t122)) % 16.01/16.21 (step @p485 :rule trans :premises (@p58 @p182 @p69 @p484)) % 16.01/16.21 (step @p184 :rule 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@t125) % 16.01/16.21 (assume-push @p3148 @t127) % 16.01/16.21 (assume-push @p3149 @t129) % 16.01/16.21 (assume-push @p3150 @t190) % 16.01/16.21 (assume-push @p3151 @t133) % 16.01/16.21 (assume-push @p3152 @t137) % 16.01/16.21 (assume-push @p3153 @t142) % 16.01/16.21 (assume-push @p3154 @t146) % 16.01/16.21 (assume-push @p3155 @t150) % 16.01/16.21 (assume-push @p3156 @t154) % 16.01/16.21 (assume-push @p3157 @t157) % 16.01/16.21 (assume-push @p3158 @t123) % 16.01/16.21 (assume-push @p3159 @t133) % 16.01/16.21 (assume-push @p3160 @t157) % 16.01/16.21 (assume-push @p3161 @t109) % 16.01/16.21 (assume-push @p3162 @t108) % 16.01/16.21 (assume-push @p3163 @t125) % 16.01/16.21 (assume-push @p3164 @t137) % 16.01/16.21 (assume-push @p3165 @t127) % 16.01/16.21 (assume-push @p3166 @t103) % 16.01/16.21 (assume-push @p3167 @t150) % 16.01/16.21 (assume-push @p3168 @t142) % 16.01/16.21 (assume-push @p3169 @t146) % 16.01/16.21 (assume-push @p3170 @t154) % 16.01/16.21 (assume-push @p3171 @t129) % 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(assume-push @p3227 @t154) % 16.01/16.21 (assume-push @p3228 @t146) % 16.01/16.21 (assume-push @p3229 @t108) % 16.01/16.21 (assume-push @p3230 @t157) % 16.01/16.21 (assume-push @p3231 @t123) % 16.01/16.21 (assume-push @p3232 @t150) % 16.01/16.21 (assume-push @p3233 @t142) % 16.01/16.21 (assume-push @p3234 @t125) % 16.01/16.21 (assume-push @p3235 @t176) % 16.01/16.21 (assume-push @p3236 @t111) % 16.01/16.21 (assume-push @p3237 @t137) % 16.01/16.21 (assume-push @p3238 @t112) % 16.01/16.21 (step @p696 :rule symm :premises (@p337)) % 16.01/16.21 (step @p397 :rule refl :args (tptp.sk_c9)) % 16.01/16.21 (step @p162 :rule symm :premises (@p64)) % 16.01/16.21 (step @p163 :rule refl :args (tptp.sk_c3)) % 16.01/16.21 (step @p697 :rule cong :premises (@p3205 @p163) :args (@t151)) % 16.01/16.21 (step @p165 :rule symm :premises (@p60)) % 16.01/16.21 (step @p166 :rule symm :premises (@p125)) % 16.01/16.21 (step @p167 :rule refl :args (tptp.sk_c11)) % 16.01/16.21 (step @p698 :rule cong :premises 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16.01/16.21 (step-pop @p3429 :rule scope :premises (@p3428)) % 16.01/16.21 (step-pop @p3430 :rule scope :premises (@p3429)) % 16.01/16.21 (step-pop @p3431 :rule scope :premises (@p3430)) % 16.01/16.21 (step-pop @p3432 :rule scope :premises (@p3431)) % 16.01/16.21 (step-pop @p3433 :rule scope :premises (@p3432)) % 16.01/16.21 (step-pop @p3434 :rule scope :premises (@p3433)) % 16.01/16.21 (step @p1173 :rule process_scope :premises (@p3434) :args (@t316)) % 16.01/16.21 (step @p1191 :rule implies_elim :premises (@p1173)) % 16.01/16.21 (step @p1192 :rule resolution :premises (@p1075 @p1191) :args (true @t307)) % 16.01/16.21 (step @p1193 :rule reordering :premises (@p1192) :args ((or @t172 @t187 @t282 @t281 @t280 @t315 @t171 @t169 @t186 @t314 @t316 @t313 @t312 @t311 @t310 @t185 @t309 @t308))) % 16.01/16.21 (step @p1194 :rule cnf_or_pos :args (@t319)) % 16.01/16.21 (step @p1195 :rule reordering :premises (@p1194) :args ((or @t318 @t317 (not @t319)))) % 16.01/16.21 (assume-push @p3435 @t121) % 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16.01/16.21 (step-pop @p3646 :rule scope :premises (@p3645)) % 16.01/16.21 (step-pop @p3647 :rule scope :premises (@p3646)) % 16.01/16.21 (step-pop @p3648 :rule scope :premises (@p3647)) % 16.01/16.21 (step-pop @p3649 :rule scope :premises (@p3648)) % 16.01/16.21 (step-pop @p3650 :rule scope :premises (@p3649)) % 16.01/16.21 (step-pop @p3651 :rule scope :premises (@p3650)) % 16.01/16.21 (step-pop @p3652 :rule scope :premises (@p3651)) % 16.01/16.21 (step @p1533 :rule process_scope :premises (@p3652) :args (@t192)) % 16.01/16.21 (step @p1552 :rule implies_elim :premises (@p1533)) % 16.01/16.21 (step @p1553 :rule cnf_and_neg :args (@t323)) % 16.01/16.21 (step @p1554 :rule resolution :premises (@p1553 @p1552) :args (true @t323)) % 16.01/16.21 (assume-push @p3653 @t103) % 16.01/16.21 (assume-push @p3654 @t269) % 16.01/16.21 (assume-push @p3655 @t107) % 16.01/16.21 (assume-push @p3656 @t123) % 16.01/16.21 (assume-push @p3657 @t127) % 16.01/16.21 (assume-push @p3658 @t131) % 16.01/16.21 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(step @p1672 :rule cong :premises (@p1018 @p1671) :args (@t273)) % 16.01/16.21 (step @p1673 :rule cong :premises (@p3700 @p397) :args (@t52)) % 16.01/16.21 (step @p1674 :rule trans :premises (@p3701 @p1673 @p1672 @p993 @p992 @p989)) % 16.01/16.21 (step @p1675 :rule cong :premises (@p908 @p1674) :args (@t305)) % 16.01/16.21 (step @p1676 :rule cong :premises (@p3700 @p908) :args (@t301)) % 16.01/16.21 (step @p1677 :rule trans :premises (@p1676 @p991 @p125 @p1666 @p999 @p1658 @p184)) % 16.01/16.21 (step @p1678 :rule cong :premises (@p908 @p1677) :args (@t302)) % 16.01/16.21 (step @p1679 :rule symm :premises (@p1664)) % 16.01/16.21 (step @p1680 :rule symm :premises (@p1660)) % 16.01/16.21 (step @p506 :rule cong :premises (@p58 @p167) :args (@t140)) % 16.01/16.21 (step @p1681 :rule trans :premises (@p506 @p1680 @p952 @p1679)) % 16.01/16.21 (step @p1682 :rule trans :premises (@p125 @p1666 @p999 @p1658 @p184 @p3699 @p1664 @p1004 @p1660 @p1000)) % 16.01/16.21 (step @p1683 :rule trans :premises (@p1682 @p1681)) % 16.01/16.21 (step @p1684 :rule cong :premises (@p1683 @p908) :args (@t286)) % 16.01/16.21 (step @p1685 :rule trans :premises (@p948 @p1684 @p954 @p1678 @p1675 @p1653)) % 16.01/16.21 (step @p1686 :rule cong :premises (@p1685) :args (@t45)) % 16.01/16.21 (step @p1687 :rule trans :premises (@p3701 @p1673 @p1672 @p993 @p992 @p989 @p3700 @p1686)) % 16.01/16.21 (step @p1688 :rule cong :premises (@p1687) :args (@t11)) % 16.01/16.21 (step @p1689 :rule symm :premises (@p3701)) % 16.01/16.21 (step @p1690 :rule symm :premises (@p1673)) % 16.01/16.21 (step @p1691 :rule symm :premises (@p1672)) % 16.01/16.21 (step @p1692 :rule symm :premises (@p1686)) % 16.01/16.21 (step @p1693 :rule trans :premises (@p3697 @p1692 @p1661 @p949 @p1007 @p951 @p1691 @p1690 @p1689)) % 16.01/16.21 (step @p1694 :rule cong :premises (@p1693) :args (@t104)) % 16.01/16.21 (step @p1695 :rule trans :premises (@p1694 @p1688)) % 16.01/16.21 (step-pop @p3731 :rule scope :premises (@p1695)) % 16.01/16.21 (step-pop @p3732 :rule scope :premises (@p3731)) % 16.01/16.21 (step-pop @p3733 :rule scope :premises (@p3732)) % 16.01/16.21 (step-pop @p3734 :rule scope :premises (@p3733)) % 16.01/16.21 (step-pop @p3735 :rule scope :premises (@p3734)) % 16.01/16.21 (step-pop @p3736 :rule scope :premises (@p3735)) % 16.01/16.21 (step-pop @p3737 :rule scope :premises (@p3736)) % 16.01/16.21 (step-pop @p3738 :rule scope :premises (@p3737)) % 16.01/16.21 (step-pop @p3739 :rule scope :premises (@p3738)) % 16.01/16.21 (step-pop @p3740 :rule scope :premises (@p3739)) % 16.01/16.21 (step-pop @p3741 :rule scope :premises (@p3740)) % 16.01/16.21 (step-pop @p3742 :rule scope :premises (@p3741)) % 16.01/16.21 (step-pop @p3743 :rule scope :premises (@p3742)) % 16.01/16.21 (step-pop @p3744 :rule scope :premises (@p3743)) % 16.01/16.21 (step-pop @p3745 :rule scope :premises (@p3744)) % 16.01/16.21 (step-pop @p3746 :rule scope :premises (@p3745)) % 16.01/16.21 (step-pop @p3747 :rule scope :premises (@p3746)) % 16.01/16.21 (step @p1696 :rule process_scope :premises (@p3747) :args (@t106)) % 16.01/16.21 (step @p1714 :rule and_intro :premises (@p3699 @p949 @p950 @p951 @p3698 @p3697 @p58 @p125 @p338 @p952 @p3700 @p337 @p953 @p947 @p3701 @p954 @p948)) % 16.01/16.21 (step @p1715 :rule modus_ponens :premises (@p1714 @p1696)) % 16.01/16.21 (step-pop @p3748 :rule scope :premises (@p1715)) % 16.01/16.21 (step-pop @p3749 :rule scope :premises (@p3748)) % 16.01/16.21 (step-pop @p3750 :rule scope :premises (@p3749)) % 16.01/16.21 (step-pop @p3751 :rule scope :premises (@p3750)) % 16.01/16.21 (step-pop @p3752 :rule scope :premises (@p3751)) % 16.01/16.21 (step-pop @p3753 :rule scope :premises (@p3752)) % 16.01/16.21 (step-pop @p3754 :rule scope :premises (@p3753)) % 16.01/16.21 (step-pop @p3755 :rule scope :premises (@p3754)) % 16.01/16.21 (step-pop @p3756 :rule scope :premises (@p3755)) % 16.01/16.21 (step-pop @p3757 :rule scope :premises (@p3756)) % 16.01/16.21 (step-pop @p3758 :rule scope :premises 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16.01/16.21 (assume-push @p3774 @t178) % 16.01/16.21 (assume-push @p3775 @t287) % 16.01/16.21 (assume-push @p3776 @t288) % 16.01/16.21 (assume-push @p3777 @t290) % 16.01/16.21 (assume-push @p3778 @t293) % 16.01/16.21 (assume-push @p3779 @t297) % 16.01/16.21 (assume-push @p3780 @t181) % 16.01/16.21 (assume-push @p3781 @t300) % 16.01/16.21 (assume-push @p3782 @t304) % 16.01/16.21 (assume-push @p3783 @t269) % 16.01/16.21 (assume-push @p3784 @t288) % 16.01/16.21 (assume-push @p3785 @t290) % 16.01/16.21 (assume-push @p3786 @t293) % 16.01/16.21 (assume-push @p3787 @t107) % 16.01/16.21 (assume-push @p3788 @t297) % 16.01/16.21 (assume-push @p3789 @t123) % 16.01/16.21 (assume-push @p3790 @t127) % 16.01/16.21 (assume-push @p3791 @t103) % 16.01/16.21 (assume-push @p3792 @t181) % 16.01/16.21 (assume-push @p3793 @t176) % 16.01/16.21 (assume-push @p3794 @t178) % 16.01/16.21 (assume-push @p3795 @t300) % 16.01/16.21 (assume-push @p3796 @t285) % 16.01/16.21 (assume-push @p3797 @t272) % 16.01/16.21 (assume-push @p3798 @t304) % 16.01/16.21 (assume-push @p3799 @t287) % 16.01/16.21 (assume-push @p3800 @t190) % 16.01/16.21 (step @p1772 :rule symm :premises (@p3765)) % 16.01/16.21 (step @p1773 :rule symm :premises (@p3767)) % 16.01/16.21 (step @p989 :rule symm :premises (@p949)) % 16.01/16.21 (step @p990 :rule refl :args (tptp.sk_c2)) % 16.01/16.21 (step @p991 :rule symm :premises (@p950)) % 16.01/16.21 (step @p992 :rule cong :premises (@p991 @p990) :args (@t292)) % 16.01/16.21 (step @p993 :rule symm :premises (@p951)) % 16.01/16.21 (step @p1774 :rule symm :premises (@p3766)) % 16.01/16.21 (step @p696 :rule symm :premises (@p337)) % 16.01/16.21 (step @p184 :rule symm :premises (@p58)) % 16.01/16.21 (step @p167 :rule refl :args (tptp.sk_c11)) % 16.01/16.21 (step @p166 :rule symm :premises (@p125)) % 16.01/16.21 (step @p1775 :rule cong :premises (@p3765 @p167) :args (@t147)) % 16.01/16.21 (step @p1776 :rule trans :premises (@p1775 @p166)) % 16.01/16.21 (step @p1777 :rule cong :premises (@p1776 @p167) :args (@t180)) % 16.01/16.21 (step @p999 :rule symm :premises (@p338)) % 16.01/16.21 (step @p1000 :rule cong :premises (@p184 @p167) :args (@t189)) % 16.01/16.21 (step @p1778 :rule trans :premises (@p1773 @p58)) % 16.01/16.21 (step @p1779 :rule cong :premises (@p1778 @p167) :args (@t296)) % 16.01/16.21 (step @p1004 :rule symm :premises (@p952)) % 16.01/16.21 (step @p1780 :rule symm :premises (@p3768)) % 16.01/16.21 (step @p1781 :rule cong :premises (@p1780 @p1773) :args (@t291)) % 16.01/16.21 (step @p1007 :rule symm :premises (@p992)) % 16.01/16.21 (step @p1782 :rule trans :premises (@p949 @p1007 @p951 @p1781)) % 16.01/16.21 (step @p908 :rule refl :args (tptp.sk_c1)) % 16.01/16.21 (step @p1783 :rule cong :premises (@p908 @p1782) :args (@t38)) % 16.01/16.21 (step @p1784 :rule trans :premises (@p3767 @p1783 @p1004 @p1779 @p1000)) % 16.01/16.21 (step @p1785 :rule cong :premises (@p1772 @p1784) :args (@t126)) % 16.01/16.21 (step @p1786 :rule trans :premises (@p125 @p1785 @p999 @p1777 @p184)) % 16.01/16.21 (step @p1787 :rule cong :premises (@p1786) :args (@t173)) % 16.01/16.21 (step @p1788 :rule trans :premises (@p1787 @p1772)) % 16.01/16.21 (step @p1789 :rule cong :premises (@p1788 @p696) :args (@t298)) % 16.01/16.21 (step @p397 :rule refl :args (tptp.sk_c9)) % 16.01/16.21 (step @p1016 :rule cong :premises (@p947 @p397) :args (@t177)) % 16.01/16.21 (step @p1790 :rule trans :premises (@p337 @p1016 @p953 @p1789 @p1774 @p3767)) % 16.01/16.21 (step @p1018 :rule refl :args (@t45)) % 16.01/16.21 (step @p1791 :rule cong :premises (@p1018 @p1790) :args (@t273)) % 16.01/16.21 (step @p1792 :rule cong :premises (@p3768 @p397) :args (@t52)) % 16.01/16.21 (step @p1793 :rule trans :premises (@p3769 @p1792 @p1791 @p993 @p992 @p989)) % 16.01/16.21 (step @p1794 :rule cong :premises (@p908 @p1793) :args (@t305)) % 16.01/16.21 (step @p1795 :rule cong :premises (@p3768 @p908) :args (@t301)) % 16.01/16.21 (step @p1796 :rule trans :premises (@p1795 @p991 @p125 @p1785 @p999 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:rule trans :premises (@p506 @p1799 @p952 @p1798 @p1773 @p3769 @p1792 @p1791 @p993 @p992 @p989 @p3768 @p1805 @p1807)) % 16.01/16.21 (step @p1809 :rule cong :premises (@p1786 @p1808) :args (@t188)) % 16.01/16.21 (step @p1810 :rule symm :premises (@p3769)) % 16.01/16.21 (step @p1811 :rule symm :premises (@p1792)) % 16.01/16.21 (step @p1812 :rule symm :premises (@p1791)) % 16.01/16.21 (step @p1813 :rule symm :premises (@p1805)) % 16.01/16.21 (step @p1814 :rule trans :premises (@p1813 @p1780 @p949 @p1007 @p951 @p1812 @p1811 @p1810 @p3767 @p1783 @p1004 @p1779 @p442 @p1809)) % 16.01/16.21 (step-pop @p3801 :rule scope :premises (@p1814)) % 16.01/16.21 (step-pop @p3802 :rule scope :premises (@p3801)) % 16.01/16.21 (step-pop @p3803 :rule scope :premises (@p3802)) % 16.01/16.21 (step-pop @p3804 :rule scope :premises (@p3803)) % 16.01/16.21 (step-pop @p3805 :rule scope :premises (@p3804)) % 16.01/16.21 (step-pop @p3806 :rule scope :premises (@p3805)) % 16.01/16.21 (step-pop @p3807 :rule scope 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modus_ponens :premises (@p1834 @p1815)) % 16.01/16.21 (step-pop @p3819 :rule scope :premises (@p1835)) % 16.01/16.21 (step-pop @p3820 :rule scope :premises (@p3819)) % 16.01/16.21 (step-pop @p3821 :rule scope :premises (@p3820)) % 16.01/16.21 (step-pop @p3822 :rule scope :premises (@p3821)) % 16.01/16.21 (step-pop @p3823 :rule scope :premises (@p3822)) % 16.01/16.21 (step-pop @p3824 :rule scope :premises (@p3823)) % 16.01/16.21 (step-pop @p3825 :rule scope :premises (@p3824)) % 16.01/16.21 (step-pop @p3826 :rule scope :premises (@p3825)) % 16.01/16.21 (step-pop @p3827 :rule scope :premises (@p3826)) % 16.01/16.21 (step-pop @p3828 :rule scope :premises (@p3827)) % 16.01/16.21 (step-pop @p3829 :rule scope :premises (@p3828)) % 16.01/16.21 (step-pop @p3830 :rule scope :premises (@p3829)) % 16.01/16.21 (step-pop @p3831 :rule scope :premises (@p3830)) % 16.01/16.21 (step-pop @p3832 :rule scope :premises (@p3831)) % 16.01/16.21 (step-pop @p3833 :rule scope :premises (@p3832)) % 16.01/16.21 (step-pop @p3834 :rule scope :premises (@p3833)) % 16.01/16.21 (step-pop @p3835 :rule scope :premises (@p3834)) % 16.01/16.21 (step-pop @p3836 :rule scope :premises (@p3835)) % 16.01/16.21 (step @p1836 :rule process_scope :premises (@p3836) :args (@t195)) % 16.01/16.21 (step @p1855 :rule implies_elim :premises (@p1836)) % 16.01/16.21 (step @p1856 :rule resolution :premises (@p1553 @p1855) :args (true @t323)) % 16.01/16.21 (step @p1857 :rule chain_m_resolution :premises (@p792 @p780 @p1856 @p954 @p953 @p338 @p952 @p951 @p950 @p949 @p948 @p337 @p442 @p125 @p58 @p947 @p1735 @p954 @p953 @p338 @p952 @p951 @p950 @p949 @p948 @p337 @p125 @p58 @p947 @p1618 @p338 @p952 @p951 @p950 @p949 @p126 @p125 @p58 @p1554 @p954 @p953 @p338 @p952 @p951 @p950 @p949 @p948 @p337 @p442 @p125 @p58 @p947 @p902 @p1434 @p1200 @p1195 @p1193 @p954 @p953 @p338 @p952 @p951 @p950 @p949 @p948 @p337 @p125 @p58 @p947 @p1077 @p954 @p953 @p338 @p952 @p951 @p950 @p949 @p948 @p337 @p125 @p58 @p947 @p946) :args ((or @t172 @t187 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(step-pop @p4187 :rule scope :premises (@p4186)) % 16.01/16.21 (step-pop @p4188 :rule scope :premises (@p4187)) % 16.01/16.21 (step-pop @p4189 :rule scope :premises (@p4188)) % 16.01/16.21 (step-pop @p4190 :rule scope :premises (@p4189)) % 16.01/16.21 (step-pop @p4191 :rule scope :premises (@p4190)) % 16.01/16.21 (step-pop @p4192 :rule scope :premises (@p4191)) % 16.01/16.21 (step @p2427 :rule process_scope :premises (@p4192) :args (@t198)) % 16.01/16.21 (step @p2447 :rule implies_elim :premises (@p2427)) % 16.01/16.21 (step @p2448 :rule cnf_and_neg :args (@t333)) % 16.01/16.21 (step @p2449 :rule resolution :premises (@p2448 @p2447) :args (true @t333)) % 16.01/16.21 (step @p2450 :rule reordering :premises (@p2449) :args ((or @t172 @t187 @t113 @t201 @t200 @t282 @t281 @t315 @t171 @t169 @t168 @t167 @t186 @t313 @t312 @t311 @t310 @t185 @t309 @t198))) % 16.01/16.21 (step @p2451 :rule chain_m_resolution :premises (@p797 @p782 @p2450 @p953 @p338 @p952 @p951 @p950 @p949 @p337 @p64 @p60 @p125 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false false false false false false false false false false true true false false false false false true) (@list @t212 @t198 @t300 @t181 @t297 @t293 @t290 @t288 @t178 @t133 @t129 @t127 @t123 @t285 @t116 @t229 @t224 @t216 @t209 @t204 @t195 @t330 @t181 @t297 @t293 @t290 @t288 @t150 @t137 @t328 @t133 @t190 @t129 @t127 @t125 @t123 @t192 @t330 @t181 @t297 @t293 @t290 @t288 @t150 @t137 @t328 @t133 @t190 @t129 @t127 @t125 @t123 @t174 @t181 @t297 @t293 @t290 @t288 @t133 @t129 @t127 @t123 @t183 @t321 @t300 @t181 @t297 @t293 @t290 @t288 @t178 @t133 @t129 @t127 @t125 @t123 @t285 @t159 @t181 @t297 @t293 @t290 @t288 @t131 @t127 @t123 @t106 @t121 @t115 @t112 @t111 @t110 @t109 @t108 @t272))) % 16.01/16.21 (step @p2452 :rule eq-symm :args (@t38 tptp.sk_c11)) % 16.01/16.21 (step @p2453 :rule nary_cong :premises (@p2452 @p79) :args (@t40)) % 16.01/16.21 (step @p2454 :rule eq_resolve :premises (@p24 @p2453)) % 16.01/16.21 (step @p2455 :rule reordering :premises (@p2454) :args ((or @t108 @t269))) % 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:premises (@p167 @p2652) :args (@t151)) % 16.01/16.21 (step @p2654 :rule symm :premises (@p2647)) % 16.01/16.21 (step @p2655 :rule trans :premises (@p64 @p2654 @p2653 @p291 @p2646 @p2643 @p192)) % 16.01/16.21 (step @p2656 :rule trans :premises (@p2655 @p2642 @p2641)) % 16.01/16.21 (step @p2657 :rule cong :premises (@p2656 @p174) :args (@t124)) % 16.01/16.21 (step @p2658 :rule symm :premises (@p2657)) % 16.01/16.21 (step @p286 :rule symm :premises (@p128)) % 16.01/16.21 (step @p2659 :rule cong :premises (@p167 @p2638) :args (@t140)) % 16.01/16.21 (step @p2660 :rule symm :premises (@p2639)) % 16.01/16.21 (step @p2661 :rule trans :premises (@p64 @p2654 @p2653 @p291 @p2646 @p2643 @p192 @p2660 @p2659 @p286 @p2658 @p266)) % 16.01/16.21 (step @p2662 :rule cong :premises (@p2661 @p397) :args (@t177)) % 16.01/16.21 (step @p2663 :rule symm :premises (@p4200)) % 16.01/16.21 (step @p577 :rule cong :premises (@p162 @p167) :args (@t156)) % 16.01/16.21 (step @p578 :rule symm :premises (@p69)) % 16.01/16.21 (step @p580 :rule cong :premises (@p167 @p266) :args (@t134)) % 16.01/16.21 (step @p2664 :rule cong :premises (@p2640 @p174) :args (@t141)) % 16.01/16.21 (step @p2665 :rule trans :premises (@p59 @p2657 @p2664 @p127 @p580 @p2636 @p578 @p577 @p184)) % 16.01/16.21 (step @p2666 :rule symm :premises (@p2665)) % 16.01/16.21 (step @p2582 :rule refl :args (tptp.sk_c4)) % 16.01/16.21 (step @p2667 :rule cong :premises (@p2582 @p2666) :args (@t344)) % 16.01/16.21 (step @p2668 :rule trans :premises (@p2667 @p2663 @p337 @p2662)) % 16.01/16.21 (step @p2669 :rule cong :premises (@p2665 @p2668) :args (@t345)) % 16.01/16.21 (step @p2670 :rule trans :premises (@p2669 @p2632)) % 16.01/16.21 (step @p2671 :rule false_elim :premises (@p2670)) % 16.01/16.21 (step-pop @p4272 :rule scope :premises (@p2671)) % 16.01/16.21 (step-pop @p4273 :rule scope :premises (@p4272)) % 16.01/16.21 (step-pop @p4274 :rule scope :premises (@p4273)) % 16.01/16.21 (step-pop @p4275 :rule scope :premises (@p4274)) % 16.01/16.21 (step-pop @p4276 :rule scope :premises (@p4275)) % 16.01/16.21 (step-pop @p4277 :rule scope :premises (@p4276)) % 16.01/16.21 (step-pop @p4278 :rule scope :premises (@p4277)) % 16.01/16.21 (step-pop @p4279 :rule scope :premises (@p4278)) % 16.01/16.21 (step-pop @p4280 :rule scope :premises (@p4279)) % 16.01/16.21 (step-pop @p4281 :rule scope :premises (@p4280)) % 16.01/16.21 (step-pop @p4282 :rule scope :premises (@p4281)) % 16.01/16.21 (step-pop @p4283 :rule scope :premises (@p4282)) % 16.01/16.21 (step-pop @p4284 :rule scope :premises (@p4283)) % 16.01/16.21 (step-pop @p4285 :rule scope :premises (@p4284)) % 16.01/16.21 (step-pop @p4286 :rule scope :premises (@p4285)) % 16.01/16.21 (step-pop @p4287 :rule scope :premises (@p4286)) % 16.01/16.21 (step-pop @p4288 :rule scope :premises (@p4287)) % 16.01/16.21 (step @p2672 :rule process_scope :premises (@p4288) :args (@t346)) % 16.01/16.21 (step @p2690 :rule and_intro :premises (@p4202 @p58 @p64 @p69 @p4199 @p4198 @p59 @p127 @p125 @p4197 @p130 @p129 @p131 @p60 @p128 @p337 @p4200)) % 16.01/16.21 (step @p2691 :rule modus_ponens :premises (@p2690 @p2672)) % 16.01/16.21 (step @p2692 :rule and_intro :premises (@p2691 @p2614)) % 16.01/16.21 (step-pop @p4289 :rule scope :premises (@p2692)) % 16.01/16.21 (step-pop @p4290 :rule scope :premises (@p4289)) % 16.01/16.21 (step-pop @p4291 :rule scope :premises (@p4290)) % 16.01/16.21 (step-pop @p4292 :rule scope :premises (@p4291)) % 16.01/16.21 (step-pop @p4293 :rule scope :premises (@p4292)) % 16.01/16.21 (step-pop @p4294 :rule scope :premises (@p4293)) % 16.01/16.21 (step-pop @p4295 :rule scope :premises (@p4294)) % 16.01/16.21 (step-pop @p4296 :rule scope :premises (@p4295)) % 16.01/16.21 (step-pop @p4297 :rule scope :premises (@p4296)) % 16.01/16.21 (step-pop @p4298 :rule scope :premises (@p4297)) % 16.01/16.21 (step-pop @p4299 :rule scope :premises (@p4298)) % 16.01/16.21 (step-pop @p4300 :rule scope :premises (@p4299)) % 16.01/16.21 (step-pop @p4301 :rule scope :premises (@p4300)) % 16.01/16.21 (step-pop @p4302 :rule scope :premises (@p4301)) % 16.01/16.21 (step-pop @p4303 :rule scope :premises (@p4302)) % 16.01/16.21 (step-pop @p4304 :rule scope :premises (@p4303)) % 16.01/16.21 (step-pop @p4305 :rule scope :premises (@p4304)) % 16.01/16.21 (step-pop @p4306 :rule scope :premises (@p4305)) % 16.01/16.21 (step-pop @p4307 :rule scope :premises (@p4306)) % 16.01/16.21 (step-pop @p4308 :rule scope :premises (@p4307)) % 16.01/16.21 (step @p2693 :rule process_scope :premises (@p4308) :args (@t348)) % 16.01/16.21 (step @p2714 :rule implies_elim :premises (@p2693)) % 16.01/16.21 (step @p2715 :rule resolution :premises (@p2714 @p2513) :args (true @t348)) % 16.01/16.21 (step @p2716 :rule not_and :premises (@p2715)) % 16.01/16.21 (step @p2717 :rule eq_resolve :premises (@p2716 @p2504)) % 16.01/16.21 (step @p2718 :rule reordering :premises (@p2717) :args ((or @t176 @t172 @t114 @t113 @t343 @t342 @t171 @t170 @t169 @t168 @t167 @t186 @t341 @t166 @t165 @t164 @t163 @t339 @t162 @t161))) % 16.01/16.21 (step @p2719 :rule chain_m_resolution :premises (@p2718 @p69 @p131 @p2484 @p130 @p129 @p128 @p127 @p2483 @p337 @p64 @p60 @p125 @p59 @p58 @p2482 @p2478 @p2474 @p2471 @p2468) :args (@t172 (@list false false false false false false false false false false false false false false false false false false true) (@list @t157 @t154 @t338 @t150 @t146 @t142 @t137 @t340 @t178 @t133 @t129 @t127 @t125 @t123 @t335 @t334 @t109 @t108 @t176))) % 16.01/16.21 (step @p2720 :rule nary_cong :premises (@p896 @p79) :args (@t13)) % 16.01/16.21 (step @p2721 :rule eq_resolve :premises (@p4 @p2720)) % 16.01/16.21 (step @p2722 :rule chain_m_resolution :premises (@p2721 @p2719) :args (@t108 @t349 @t350)) % 16.01/16.21 (step @p2723 :rule nary_cong :premises (@p896 @p84) :args (@t16)) % 16.01/16.21 (step @p2724 :rule eq_resolve :premises (@p5 @p2723)) % 16.01/16.21 (step @p2725 :rule chain_m_resolution :premises (@p2724 @p2719) :args (@t109 @t349 @t350)) % 16.01/16.21 (step @p2726 :rule nary_cong :premises (@p896 @p88) :args (@t23)) % 16.01/16.21 (step @p2727 :rule eq_resolve :premises (@p8 @p2726)) % 16.01/16.21 (step @p2728 :rule chain_m_resolution :premises (@p2727 @p2719) :args (@t110 @t349 @t350)) % 16.01/16.21 (step @p2729 :rule nary_cong :premises (@p896 @p92) :args (@t26)) % 16.01/16.21 (step @p2730 :rule eq_resolve :premises (@p9 @p2729)) % 16.01/16.21 (step @p2731 :rule chain_m_resolution :premises (@p2730 @p2719) :args (@t111 @t349 @t350)) % 16.01/16.21 (step @p2732 :rule instantiate :premises (@p3) :args ((@list @t351 tptp.sk_c8 tptp.sk_c11))) % 16.01/16.21 (step @p2733 :rule refl :args (@t356)) % 16.01/16.21 (step @p2734 :rule refl :args (@t361)) % 16.01/16.21 (step @p2735 :rule refl :args (@t363)) % 16.01/16.21 (step @p2736 :rule refl :args (@t365)) % 16.01/16.21 (step @p2737 :rule refl :args (@t368)) % 16.01/16.21 (step @p2738 :rule bool-double-not-elim :args (@t103)) % 16.01/16.21 (step @p2739 :rule refl :args (@t201)) % 16.01/16.21 (step @p2740 :rule refl :args (@t369)) % 16.01/16.21 (step @p2741 :rule nary_cong :premises (@p2503 @p2502 @p2740 @p2739 @p2738 @p2498 @p2497 @p2495 @p2494 @p2737 @p2736 @p2735 @p2734 @p2485 @p2733) :args ((or @t114 @t113 @t369 @t201 (not @t172) @t171 @t170 @t168 @t167 @t368 @t365 @t363 @t361 @t161 @t356))) % 16.01/16.21 (assume-push @p4309 @t371) % 16.01/16.21 (assume-push @p4310 @t370) % 16.01/16.21 (step @p2507 :rule evaluate :args (@t347)) % 16.01/16.21 (step @p2744 :rule true_intro :premises (@p4310)) % 16.01/16.21 (step @p2745 :rule false_intro :premises (@p4309)) % 16.01/16.21 (step @p2746 :rule symm :premises (@p2745)) % 16.01/16.21 (step @p2747 :rule trans :premises (@p2746 @p2744)) % 16.01/16.21 (step @p2748 false :rule eq_resolve :premises (@p2747 @p2507)) % 16.01/16.21 (step-pop @p4311 :rule scope :premises (@p2748)) % 16.01/16.21 (step-pop @p4312 :rule scope :premises (@p4311)) % 16.01/16.21 (step @p2749 :rule process_scope :premises (@p4312) :args (false)) % 16.01/16.21 (assume-push @p4313 @t108) % 16.01/16.21 (assume-push @p4314 @t109) % 16.01/16.21 (assume-push @p4315 @t110) % 16.01/16.21 (assume-push @p4316 @t111) % 16.01/16.21 (assume-push @p4317 @t172) % 16.01/16.21 (assume-push @p4318 @t123) % 16.01/16.21 (assume-push @p4319 @t125) % 16.01/16.21 (assume-push @p4320 @t129) % 16.01/16.21 (assume-push @p4321 @t133) % 16.01/16.21 (assume-push @p4322 @t367) % 16.01/16.21 (assume-push @p4323 @t364) % 16.01/16.21 (assume-push @p4324 @t362) % 16.01/16.21 (assume-push @p4325 @t360) % 16.01/16.21 (assume-push @p4326 @t157) % 16.01/16.21 (assume-push @p4327 @t355) % 16.01/16.21 (assume-push @p4328 @t109) % 16.01/16.21 (assume-push @p4329 @t123) % 16.01/16.21 (assume-push @p4330 @t362) % 16.01/16.21 (assume-push @p4331 @t355) % 16.01/16.21 (assume-push @p4332 @t111) % 16.01/16.21 (assume-push @p4333 @t110) % 16.01/16.21 (assume-push @p4334 @t360) % 16.01/16.21 (assume-push @p4335 @t364) % 16.01/16.21 (assume-push @p4336 @t367) % 16.01/16.21 (assume-push @p4337 @t133) % 16.01/16.21 (assume-push @p4338 @t129) % 16.01/16.21 (step @p2778 :rule cong :premises (@p4314) :args (@t11)) % 16.01/16.21 (step @p184 :rule symm :premises (@p58)) % 16.01/16.21 (step @p167 :rule refl :args (tptp.sk_c11)) % 16.01/16.21 (step @p2779 :rule symm :premises (@p67)) % 16.01/16.21 (step @p2780 :rule cong :premises (@p2779 @p167) :args (@t354)) % 16.01/16.21 (step @p2781 :rule symm :premises (@p2732)) % 16.01/16.21 (step @p2782 :rule symm :premises (@p4316)) % 16.01/16.21 (step @p2783 :rule cong :premises (@p2782 @p167) :args (@t196)) % 16.01/16.21 (step @p2784 :rule symm :premises (@p4315)) % 16.01/16.21 (step @p723 :rule refl :args (@t24)) % 16.01/16.21 (step @p2785 :rule cong :premises (@p723 @p2784) :args (@t357)) % 16.01/16.21 (step @p730 :rule refl :args (tptp.sk_c8)) % 16.01/16.21 (step @p2786 :rule cong :premises (@p66 @p730) :args (@t366)) % 16.01/16.21 (step @p2787 :rule trans :premises (@p65 @p2786 @p68 @p2785 @p2783)) % 16.01/16.21 (step @p2788 :rule refl :args (@t351)) % 16.01/16.21 (step @p2789 :rule cong :premises (@p2788 @p2787) :args (@t353)) % 16.01/16.21 (step @p2790 :rule trans :premises (@p67 @p2789 @p2781 @p2780 @p184)) % 16.01/16.21 (step @p2791 :rule cong :premises (@p2790) :args (@t173)) % 16.01/16.21 (step @p162 :rule symm :premises (@p64)) % 16.01/16.21 (step @p163 :rule refl :args (tptp.sk_c3)) % 16.01/16.21 (step @p2792 :rule trans :premises (@p2790 @p4314)) % 16.01/16.21 (step @p2793 :rule cong :premises (@p2792 @p163) :args (@t128)) % 16.01/16.21 (step @p2794 :rule trans :premises (@p60 @p2793 @p162)) % 16.01/16.21 (step @p2795 :rule cong :premises (@p2794) :args (@t14)) % 16.01/16.21 (step @p2796 :rule trans :premises (@p4314 @p2795 @p2791 @p2778)) % 16.01/16.21 (step-pop @p4339 :rule scope :premises (@p2796)) % 16.01/16.21 (step-pop @p4340 :rule scope :premises (@p4339)) % 16.01/16.21 (step-pop @p4341 :rule scope :premises (@p4340)) % 16.01/16.21 (step-pop @p4342 :rule scope :premises (@p4341)) % 16.01/16.21 (step-pop @p4343 :rule scope :premises (@p4342)) % 16.01/16.21 (step-pop @p4344 :rule scope :premises (@p4343)) % 16.01/16.21 (step-pop @p4345 :rule scope :premises (@p4344)) % 16.01/16.21 (step-pop @p4346 :rule scope :premises (@p4345)) % 16.01/16.21 (step-pop @p4347 :rule scope :premises (@p4346)) % 16.01/16.21 (step-pop @p4348 :rule scope :premises (@p4347)) % 16.01/16.21 (step-pop @p4349 :rule scope :premises (@p4348)) % 16.01/16.21 (step @p2797 :rule process_scope :premises (@p4349) :args (@t370)) % 16.01/16.21 (step @p2809 :rule and_intro :premises (@p4314 @p58 @p67 @p2732 @p4316 @p4315 @p68 @p66 @p65 @p64 @p60)) % 16.01/16.21 (step @p2810 :rule modus_ponens :premises (@p2809 @p2797)) % 16.01/16.21 (assume-push @p4350 @t172) % 16.01/16.21 (assume-push @p4351 @t125) % 16.01/16.21 (assume-push @p4352 @t362) % 16.01/16.21 (assume-push @p4353 @t111) % 16.01/16.21 (assume-push @p4354 @t367) % 16.01/16.21 (assume-push @p4355 @t364) % 16.01/16.21 (assume-push @p4356 @t360) % 16.01/16.21 (assume-push @p4357 @t110) % 16.01/16.21 (assume-push @p4358 @t355) % 16.01/16.21 (assume-push @p4359 @t123) % 16.01/16.21 (assume-push @p4360 @t133) % 16.01/16.21 (assume-push @p4361 @t157) % 16.01/16.21 (assume-push @p4362 @t109) % 16.01/16.21 (assume-push @p4363 @t108) % 16.01/16.21 (step @p2825 :rule false_intro :premises (@p4317)) % 16.01/16.21 (step @p2826 :rule symm :premises (@p4314)) % 16.01/16.21 (step @p2827 :rule cong :premises (@p2826) :args (@t331)) % 16.01/16.21 (step @p266 :rule symm :premises (@p59)) % 16.01/16.21 (step @p174 :rule refl :args (tptp.sk_c10)) % 16.01/16.21 (step @p2779 :rule symm :premises (@p67)) % 16.01/16.21 (step @p2828 :rule symm :premises (@p65)) % 16.01/16.21 (step @p730 :rule refl :args (tptp.sk_c8)) % 16.01/16.21 (step @p2829 :rule symm :premises (@p66)) % 16.01/16.21 (step @p2830 :rule cong :premises (@p2829 @p730) :args (@t359)) % 16.01/16.21 (step @p2831 :rule symm :premises (@p68)) % 16.01/16.21 (step @p723 :rule refl :args (@t24)) % 16.01/16.21 (step @p2832 :rule cong :premises (@p723 @p4315) :args (@t196)) % 16.01/16.21 (step @p167 :rule refl :args (tptp.sk_c11)) % 16.01/16.21 (step @p2833 :rule cong :premises (@p4316 @p167) :args (@t197)) % 16.01/16.21 (step @p2834 :rule trans :premises (@p2833 @p2832 @p2831 @p2830 @p2828)) % 16.01/16.21 (step @p2788 :rule refl :args (@t351)) % 16.01/16.21 (step @p2835 :rule cong :premises (@p2788 @p2834) :args (@t352)) % 16.01/16.21 (step @p2836 :rule cong :premises (@p67 @p167) :args (@t122)) % 16.01/16.21 (step @p2837 :rule trans :premises (@p58 @p2836 @p2732 @p2835 @p2779)) % 16.01/16.21 (step @p184 :rule symm :premises (@p58)) % 16.01/16.21 (step @p162 :rule symm :premises (@p64)) % 16.01/16.21 (step @p577 :rule cong :premises (@p162 @p167) :args (@t156)) % 16.01/16.21 (step @p578 :rule symm :premises (@p69)) % 16.01/16.21 (step @p2838 :rule cong :premises (@p4314 @p4313) :args (@t138)) % 16.01/16.21 (step @p2839 :rule trans :premises (@p2838 @p578 @p577 @p184)) % 16.01/16.21 (step @p2840 :rule trans :premises (@p2839 @p2837)) % 16.01/16.21 (step @p2841 :rule cong :premises (@p2840 @p174) :args ((tptp.multiply @t138 tptp.sk_c10))) % 16.01/16.21 (step @p2842 :rule symm :premises (@p2839)) % 16.01/16.21 (step @p2843 :rule cong :premises (@p2842 @p174) :args (@t138)) % 16.01/16.21 (step @p2844 :rule symm :premises (@p2838)) % 16.01/16.21 (step @p182 :rule cong :premises (@p64 @p167) :args (@t122)) % 16.01/16.21 (step @p2845 :rule trans :premises (@p58 @p182 @p69 @p2844 @p2843 @p2841 @p266)) % 16.01/16.21 (step @p2846 :rule cong :premises (@p2845 @p2827) :args (@t370)) % 16.01/16.21 (step @p2847 :rule trans :premises (@p2846 @p2825)) % 16.01/16.21 (step @p2848 :rule false_elim :premises (@p2847)) % 16.01/16.21 (step-pop @p4364 :rule scope :premises (@p2848)) % 16.01/16.21 (step-pop @p4365 :rule scope :premises (@p4364)) % 16.01/16.21 (step-pop @p4366 :rule scope :premises (@p4365)) % 16.01/16.21 (step-pop @p4367 :rule scope :premises (@p4366)) % 16.01/16.21 (step-pop @p4368 :rule scope :premises (@p4367)) % 16.01/16.21 (step-pop @p4369 :rule scope :premises (@p4368)) % 16.01/16.21 (step-pop @p4370 :rule scope :premises (@p4369)) % 16.01/16.21 (step-pop @p4371 :rule scope :premises (@p4370)) % 16.01/16.21 (step-pop @p4372 :rule scope :premises (@p4371)) % 16.01/16.21 (step-pop @p4373 :rule scope :premises (@p4372)) % 16.01/16.21 (step-pop @p4374 :rule scope :premises (@p4373)) % 16.01/16.21 (step-pop @p4375 :rule scope :premises (@p4374)) % 16.01/16.21 (step-pop @p4376 :rule scope :premises (@p4375)) % 16.01/16.21 (step-pop @p4377 :rule scope :premises (@p4376)) % 16.01/16.21 (step @p2849 :rule process_scope :premises (@p4377) :args (@t371)) % 16.01/16.21 (step @p2864 :rule and_intro :premises (@p4317 @p59 @p67 @p4316 @p65 @p66 @p68 @p4315 @p2732 @p58 @p64 @p69 @p4314 @p4313)) % 16.01/16.21 (step @p2865 :rule modus_ponens :premises (@p2864 @p2849)) % 16.01/16.21 (step @p2866 :rule and_intro :premises (@p2865 @p2810)) % 16.01/16.21 (step-pop @p4378 :rule scope :premises (@p2866)) % 16.01/16.21 (step-pop @p4379 :rule scope :premises (@p4378)) % 16.01/16.21 (step-pop @p4380 :rule scope :premises (@p4379)) % 16.01/16.21 (step-pop @p4381 :rule scope :premises (@p4380)) % 16.01/16.21 (step-pop @p4382 :rule scope :premises (@p4381)) % 16.01/16.21 (step-pop @p4383 :rule scope :premises (@p4382)) % 16.01/16.21 (step-pop @p4384 :rule scope :premises (@p4383)) % 16.01/16.21 (step-pop @p4385 :rule scope :premises (@p4384)) % 16.01/16.21 (step-pop @p4386 :rule scope :premises (@p4385)) % 16.01/16.21 (step-pop @p4387 :rule scope :premises (@p4386)) % 16.01/16.21 (step-pop @p4388 :rule scope :premises (@p4387)) % 16.01/16.21 (step-pop @p4389 :rule scope :premises (@p4388)) % 16.01/16.21 (step-pop @p4390 :rule scope :premises (@p4389)) % 16.01/16.21 (step-pop @p4391 :rule scope :premises (@p4390)) % 16.01/16.21 (step-pop @p4392 :rule scope :premises (@p4391)) % 16.01/16.21 (step @p2867 :rule process_scope :premises (@p4392) :args (@t372)) % 16.01/16.21 (step @p2883 :rule implies_elim :premises (@p2867)) % 16.01/16.21 (step @p2884 :rule resolution :premises (@p2883 @p2749) :args (true @t372)) % 16.01/16.21 (step @p2885 :rule not_and :premises (@p2884)) % 16.01/16.21 (step @p2886 :rule eq_resolve :premises (@p2885 @p2741)) % 16.01/16.21 (step @p2887 :rule reordering :premises (@p2886) :args ((or @t103 @t114 @t113 @t369 @t201 @t171 @t170 @t168 @t167 @t368 @t365 @t363 @t361 @t161 @t356))) % 16.01/16.21 (step @p2888 false :rule chain_m_resolution :premises (@p2887 @p2732 @p2731 @p2728 @p2725 @p2722 @p2719 @p69 @p68 @p67 @p66 @p65 @p64 @p60 @p59 @p58) :args (false (@list false false false false false true false false false false false false false false false) (@list @t355 @t111 @t110 @t109 @t108 @t103 @t157 @t360 @t362 @t364 @t367 @t133 @t129 @t125 @t123))) % 16.01/16.21 ) % 16.01/16.21 % SZS output end Proof % 16.01/16.21 % cvc5 exiting %------------------------------------------------------------------------------