%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP547-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:20:54 AM UTC 2026 % Result : Unsatisfiable 0.23s 0.51s % Output : Proof 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP547-1 : TPTP v9.2.1. Released v2.6.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.24 % Computer : n024.cluster.edu % 0.07/0.24 % Model : x86_64 x86_64 % 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.24 % Memory : 8042.1875MB % 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.24 % CPULimit : 300 % 0.07/0.24 % WCLimit : 300 % 0.07/0.24 % DateTime : Mon Jun 1 20:16:00 EDT 2026 % 0.07/0.24 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.23/0.51 % SZS status Unsatisfiable % 0.23/0.51 % SZS output start Proof % 0.23/0.52 ( % 0.23/0.52 (declare-sort $$unsorted 0) % 0.23/0.52 (declare-const tptp.b3 $$unsorted) % 0.23/0.52 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.23/0.52 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.52 (declare-const tptp.a3 $$unsorted) % 0.23/0.52 (declare-const tptp.identity $$unsorted) % 0.23/0.52 (declare-const tptp.c3 $$unsorted) % 0.23/0.52 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.23/0.52 (define @t1 () (@var "C" $$unsorted)) % 0.23/0.52 (define @t2 () (@var "A" $$unsorted)) % 0.23/0.52 (define @t3 () (@var "B" $$unsorted)) % 0.23/0.52 (define @t4 () (tptp.divide (tptp.divide tptp.identity (tptp.divide @t2 @t3)) (tptp.divide (tptp.divide @t3 @t1) @t2))) % 0.23/0.52 (define @t5 () (@list @t2 @t3 @t1)) % 0.23/0.52 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.23/0.52 (define @t7 () (forall (@list @t2 @t3) (= (tptp.multiply @t2 @t3) (tptp.divide @t2 (tptp.divide tptp.identity @t3))))) % 0.23/0.52 (define @t8 () (@list @t2)) % 0.23/0.52 (define @t9 () (forall @t8 (= (tptp.inverse @t2) (tptp.divide tptp.identity @t2)))) % 0.23/0.52 (define @t10 () (tptp.multiply tptp.b3 tptp.c3)) % 0.23/0.52 (define @t11 () (tptp.multiply tptp.a3 tptp.b3)) % 0.23/0.52 (define @t12 () (tptp.divide tptp.identity @t10)) % 0.23/0.52 (define @t13 () (tptp.divide tptp.identity tptp.c3)) % 0.23/0.52 (define @t14 () (tptp.divide @t13 tptp.a3)) % 0.23/0.52 (define @t15 () (tptp.divide @t14 tptp.identity)) % 0.23/0.52 (define @t16 () (tptp.divide tptp.identity @t13)) % 0.23/0.52 (define @t17 () (tptp.divide tptp.identity @t16)) % 0.23/0.52 (define @t18 () (tptp.divide @t17 @t15)) % 0.23/0.52 (define @t19 () (tptp.divide tptp.identity tptp.b3)) % 0.23/0.52 (define @t20 () (tptp.divide @t19 tptp.identity)) % 0.23/0.52 (define @t21 () (tptp.divide @t20 tptp.identity)) % 0.23/0.52 (define @t22 () (tptp.divide @t21 tptp.identity)) % 0.23/0.52 (define @t23 () (tptp.divide tptp.identity tptp.identity)) % 0.23/0.52 (define @t24 () (tptp.divide (tptp.divide tptp.identity (tptp.divide @t22 tptp.identity)) (tptp.divide @t23 @t22))) % 0.23/0.52 (define @t25 () (@list tptp.identity)) % 0.23/0.52 (define @t26 () (tptp.inverse @t23)) % 0.23/0.52 (define @t27 () (tptp.divide tptp.identity @t23)) % 0.23/0.52 (define @t28 () (= @t26 @t27)) % 0.23/0.52 (define @t29 () (@list @t23)) % 0.23/0.52 (define @t30 () (@list false)) % 0.23/0.52 (define @t31 () (@list @t9)) % 0.23/0.52 (define @t32 () (tptp.divide @t27 @t20)) % 0.23/0.52 (define @t33 () (tptp.divide (tptp.divide tptp.a3 @t19) @t13)) % 0.23/0.52 (define @t34 () (tptp.divide tptp.identity @t14)) % 0.23/0.52 (define @t35 () (tptp.divide @t34 @t33)) % 0.23/0.52 (define @t36 () (tptp.divide @t33 tptp.identity)) % 0.23/0.52 (define @t37 () (tptp.divide tptp.identity @t36)) % 0.23/0.52 (define @t38 () (tptp.divide @t37 @t35)) % 0.23/0.52 (define @t39 () (tptp.divide @t38 tptp.identity)) % 0.23/0.52 (define @t40 () (tptp.divide tptp.identity @t37)) % 0.23/0.52 (define @t41 () (tptp.divide tptp.identity @t40)) % 0.23/0.52 (define @t42 () (tptp.divide @t41 @t39)) % 0.23/0.52 (define @t43 () (tptp.divide @t39 tptp.identity)) % 0.23/0.52 (define @t44 () (tptp.divide tptp.identity @t43)) % 0.23/0.52 (define @t45 () (tptp.divide tptp.identity @t22)) % 0.23/0.52 (define @t46 () (tptp.divide @t45 (tptp.divide @t23 @t21))) % 0.23/0.52 (define @t47 () (tptp.divide tptp.identity @t33)) % 0.23/0.52 (define @t48 () (tptp.divide @t47 tptp.identity)) % 0.23/0.52 (define @t49 () (tptp.divide tptp.identity @t47)) % 0.23/0.52 (define @t50 () (tptp.divide @t49 tptp.identity)) % 0.23/0.52 (define @t51 () (tptp.divide (tptp.divide @t11 @t13) tptp.identity)) % 0.23/0.52 (define @t52 () (tptp.divide @t51 tptp.identity)) % 0.23/0.52 (define @t53 () (tptp.divide @t36 tptp.identity)) % 0.23/0.52 (define @t54 () (tptp.divide @t49 @t53)) % 0.23/0.52 (define @t55 () (tptp.divide @t52 tptp.identity)) % 0.23/0.52 (define @t56 () (tptp.divide tptp.identity @t55)) % 0.23/0.52 (define @t57 () (tptp.divide @t56 @t54)) % 0.23/0.52 (define @t58 () (tptp.divide @t54 tptp.identity)) % 0.23/0.52 (define @t59 () (tptp.divide tptp.identity @t58)) % 0.23/0.52 (define @t60 () (tptp.divide tptp.identity @t49)) % 0.23/0.52 (define @t61 () (tptp.inverse tptp.identity)) % 0.23/0.52 (define @t62 () (= @t61 @t23)) % 0.23/0.52 (define @t63 () (tptp.divide @t23 @t52)) % 0.23/0.52 (define @t64 () (tptp.divide @t63 tptp.identity)) % 0.23/0.52 (define @t65 () (tptp.divide @t60 tptp.identity)) % 0.23/0.52 (define @t66 () (tptp.divide tptp.identity @t64)) % 0.23/0.52 (define @t67 () (tptp.divide @t35 tptp.identity)) % 0.23/0.52 (define @t68 () (tptp.divide (tptp.divide tptp.identity @t67) @t38)) % 0.23/0.52 (define @t69 () (tptp.divide tptp.identity @t15)) % 0.23/0.52 (define @t70 () (tptp.divide @t69 @t68)) % 0.23/0.52 (define @t71 () (tptp.divide @t68 tptp.identity)) % 0.23/0.52 (define @t72 () (tptp.divide tptp.identity @t71)) % 0.23/0.52 (define @t73 () (tptp.divide tptp.identity (tptp.divide tptp.identity @t11))) % 0.23/0.52 (define @t74 () (tptp.divide tptp.identity @t39)) % 0.23/0.52 (define @t75 () (tptp.divide tptp.identity @t21)) % 0.23/0.52 (define @t76 () (tptp.divide @t73 @t51)) % 0.23/0.52 (define @t77 () (tptp.divide @t76 tptp.a3)) % 0.23/0.52 (define @t78 () (tptp.divide @t77 tptp.identity)) % 0.23/0.52 (define @t79 () (tptp.divide tptp.identity @t78)) % 0.23/0.52 (define @t80 () (tptp.divide tptp.a3 @t73)) % 0.23/0.52 (define @t81 () (tptp.divide @t18 @t73)) % 0.23/0.52 (define @t82 () (tptp.divide @t81 tptp.identity)) % 0.23/0.52 (define @t83 () (tptp.divide tptp.identity @t82)) % 0.23/0.52 (define @t84 () (tptp.divide (tptp.divide tptp.identity (tptp.divide @t73 @t17)) @t81)) % 0.23/0.52 (define @t85 () (tptp.divide @t42 tptp.identity)) % 0.23/0.52 (define @t86 () (tptp.divide @t85 tptp.identity)) % 0.23/0.52 (define @t87 () (tptp.divide tptp.identity @t86)) % 0.23/0.52 (define @t88 () (tptp.divide tptp.identity @t41)) % 0.23/0.52 (define @t89 () (tptp.divide tptp.identity @t88)) % 0.23/0.52 (define @t90 () (tptp.divide tptp.identity @t60)) % 0.23/0.52 (define @t91 () (tptp.divide tptp.identity (tptp.divide tptp.identity @t44))) % 0.23/0.52 (define @t92 () (tptp.divide tptp.identity @t34)) % 0.23/0.52 (define @t93 () (tptp.divide tptp.identity @t92)) % 0.23/0.52 (define @t94 () (tptp.divide (tptp.divide @t93 @t67) tptp.identity)) % 0.23/0.52 (define @t95 () (tptp.divide @t15 tptp.identity)) % 0.23/0.52 (define @t96 () (tptp.divide tptp.identity @t95)) % 0.23/0.52 (define @t97 () (tptp.divide @t84 tptp.identity)) % 0.23/0.52 (define @t98 () (tptp.divide tptp.identity @t97)) % 0.23/0.52 (define @t99 () (tptp.divide tptp.identity @t98)) % 0.23/0.52 (define @t100 () (tptp.divide @t94 tptp.identity)) % 0.23/0.52 (define @t101 () (tptp.divide tptp.identity @t100)) % 0.23/0.52 (define @t102 () (tptp.divide tptp.identity @t93)) % 0.23/0.52 (define @t103 () (tptp.divide tptp.identity @t102)) % 0.23/0.52 (define @t104 () (tptp.divide @t103 @t94)) % 0.23/0.52 (define @t105 () (tptp.divide @t102 tptp.identity)) % 0.23/0.52 (define @t106 () (tptp.divide @t67 tptp.identity)) % 0.23/0.52 (define @t107 () (tptp.divide @t104 tptp.identity)) % 0.23/0.52 (define @t108 () (tptp.divide @t106 tptp.identity)) % 0.23/0.52 (define @t109 () (tptp.divide @t16 tptp.identity)) % 0.23/0.52 (define @t110 () (tptp.divide tptp.identity @t109)) % 0.23/0.52 (define @t111 () (tptp.divide @t110 tptp.a3)) % 0.23/0.52 (define @t112 () (tptp.divide tptp.a3 tptp.identity)) % 0.23/0.52 (define @t113 () (tptp.divide tptp.identity @t112)) % 0.23/0.52 (define @t114 () (tptp.divide @t17 tptp.identity)) % 0.23/0.52 (define @t115 () (tptp.divide tptp.identity @t114)) % 0.23/0.52 (define @t116 () (tptp.divide @t34 tptp.identity)) % 0.23/0.52 (define @t117 () (tptp.divide tptp.identity @t116)) % 0.23/0.52 (define @t118 () (tptp.divide tptp.identity @t17)) % 0.23/0.52 (define @t119 () (tptp.divide @t18 tptp.identity)) % 0.23/0.52 (define @t120 () (tptp.divide @t113 @t14)) % 0.23/0.52 (define @t121 () (tptp.divide @t112 tptp.identity)) % 0.23/0.52 (define @t122 () (tptp.divide @t69 @t120)) % 0.23/0.52 (define @t123 () (tptp.divide @t122 tptp.identity)) % 0.23/0.52 (define @t124 () (tptp.divide tptp.identity @t123)) % 0.23/0.52 (define @t125 () (tptp.divide @t120 tptp.identity)) % 0.23/0.52 (define @t126 () (tptp.divide tptp.identity @t125)) % 0.23/0.52 (define @t127 () (tptp.divide @t126 @t122)) % 0.23/0.52 (define @t128 () (tptp.divide @t124 @t127)) % 0.23/0.52 (define @t129 () (tptp.divide @t125 tptp.identity)) % 0.23/0.52 (define @t130 () (tptp.divide tptp.identity @t129)) % 0.23/0.52 (define @t131 () (tptp.divide @t118 tptp.identity)) % 0.23/0.52 (define @t132 () (tptp.divide tptp.identity @t113)) % 0.23/0.52 (define @t133 () (tptp.divide tptp.identity @t132)) % 0.23/0.52 (define @t134 () (tptp.divide @t133 @t125)) % 0.23/0.52 (define @t135 () (tptp.divide @t130 @t134)) % 0.23/0.52 (define @t136 () (tptp.divide @t134 tptp.identity)) % 0.23/0.52 (define @t137 () (tptp.divide tptp.identity @t136)) % 0.23/0.52 (define @t138 () (tptp.divide @t129 tptp.identity)) % 0.23/0.52 (define @t139 () (tptp.divide @t136 tptp.identity)) % 0.23/0.52 (define @t140 () (tptp.divide tptp.identity @t139)) % 0.23/0.52 (define @t141 () (tptp.divide tptp.identity @t133)) % 0.23/0.52 (define @t142 () (tptp.divide tptp.identity @t141)) % 0.23/0.52 (define @t143 () (tptp.divide tptp.identity (tptp.divide tptp.identity @t69))) % 0.23/0.52 (define @t144 () (tptp.multiply tptp.identity tptp.a3)) % 0.23/0.52 (define @t145 () (tptp.divide tptp.identity tptp.a3)) % 0.23/0.52 (define @t146 () (tptp.divide tptp.identity @t145)) % 0.23/0.52 (define @t147 () (= @t144 @t146)) % 0.23/0.52 (define @t148 () (@list tptp.identity tptp.a3)) % 0.23/0.52 (define @t149 () (@list @t7)) % 0.23/0.52 (define @t150 () (tptp.divide @t123 tptp.identity)) % 0.23/0.52 (define @t151 () (tptp.divide @t121 tptp.identity)) % 0.23/0.52 (define @t152 () (tptp.divide @t23 @t132)) % 0.23/0.52 (define @t153 () (tptp.divide @t145 tptp.identity)) % 0.23/0.52 (define @t154 () (tptp.divide @t23 tptp.a3)) % 0.23/0.52 (define @t155 () (tptp.divide @t154 tptp.identity)) % 0.23/0.52 (define @t156 () (tptp.divide @t152 tptp.identity)) % 0.23/0.52 (define @t157 () (tptp.divide tptp.identity @t156)) % 0.23/0.52 (define @t158 () (tptp.divide @t132 tptp.identity)) % 0.23/0.52 (define @t159 () (tptp.divide @t23 @t113)) % 0.23/0.52 (define @t160 () (tptp.divide @t159 tptp.identity)) % 0.23/0.52 (define @t161 () (tptp.divide tptp.identity @t160)) % 0.23/0.52 (define @t162 () (tptp.divide tptp.identity @t103)) % 0.23/0.52 (define @t163 () (tptp.inverse @t16)) % 0.23/0.52 (define @t164 () (= @t163 @t17)) % 0.23/0.52 (define @t165 () (tptp.divide @t115 tptp.identity)) % 0.23/0.52 (define @t166 () (tptp.multiply tptp.identity @t17)) % 0.23/0.52 (define @t167 () (tptp.divide tptp.identity @t118)) % 0.23/0.52 (define @t168 () (= @t166 @t167)) % 0.23/0.52 (define @t169 () (tptp.divide @t32 @t13)) % 0.23/0.52 (define @t170 () (tptp.divide @t13 @t27)) % 0.23/0.52 (define @t171 () (tptp.divide tptp.identity @t170)) % 0.23/0.52 (define @t172 () (tptp.divide @t171 @t169)) % 0.23/0.52 (define @t173 () (tptp.divide @t172 tptp.identity)) % 0.23/0.52 (define @t174 () (tptp.divide tptp.identity @t173)) % 0.23/0.52 (define @t175 () (tptp.divide @t27 tptp.identity)) % 0.23/0.52 (define @t176 () (tptp.divide tptp.identity @t175)) % 0.23/0.52 (define @t177 () (tptp.divide @t76 tptp.identity)) % 0.23/0.52 (define @t178 () (tptp.divide @t171 tptp.identity)) % 0.23/0.52 (define @t179 () (tptp.divide @t10 tptp.identity)) % 0.23/0.52 (define @t180 () (tptp.divide tptp.identity @t179)) % 0.23/0.52 (define @t181 () (tptp.divide @t180 @t172)) % 0.23/0.52 (define @t182 () (tptp.divide @t23 @t10)) % 0.23/0.52 (define @t183 () (tptp.divide @t180 @t182)) % 0.23/0.52 (define @t184 () (tptp.divide @t183 tptp.identity)) % 0.23/0.52 (define @t185 () (tptp.divide tptp.identity @t184)) % 0.23/0.52 (define @t186 () (tptp.divide @t182 tptp.identity)) % 0.23/0.52 (define @t187 () (tptp.divide @t23 @t179)) % 0.23/0.52 (define @t188 () (tptp.divide (tptp.divide tptp.a3 @t12) tptp.identity)) % 0.23/0.52 (define @t189 () (tptp.divide @t146 @t188)) % 0.23/0.52 (define @t190 () (tptp.divide @t189 tptp.identity)) % 0.23/0.52 (define @t191 () (tptp.multiply tptp.identity @t132)) % 0.23/0.52 (define @t192 () (= @t191 @t141)) % 0.23/0.52 (define @t193 () (tptp.multiply tptp.identity @t133)) % 0.23/0.52 (define @t194 () (= @t193 @t142)) % 0.23/0.52 (define @t195 () (tptp.divide tptp.identity @t146)) % 0.23/0.52 (define @t196 () (tptp.divide tptp.identity @t195)) % 0.23/0.52 (define @t197 () (tptp.divide @t196 @t190)) % 0.23/0.52 (define @t198 () (tptp.divide tptp.b3 tptp.identity)) % 0.23/0.52 (define @t199 () (tptp.divide tptp.identity @t198)) % 0.23/0.52 (define @t200 () (tptp.divide @t12 @t17)) % 0.23/0.52 (define @t201 () (tptp.divide (tptp.divide @t115 @t200) tptp.identity)) % 0.23/0.52 (define @t202 () (tptp.multiply tptp.identity @t16)) % 0.23/0.52 (define @t203 () (= @t202 @t118)) % 0.23/0.52 (define @t204 () (tptp.divide tptp.identity @t115)) % 0.23/0.52 (define @t205 () (tptp.divide tptp.identity @t204)) % 0.23/0.52 (define @t206 () (tptp.divide @t189 @t17)) % 0.23/0.52 (define @t207 () (tptp.divide @t17 @t146)) % 0.23/0.52 (define @t208 () (tptp.divide tptp.identity @t207)) % 0.23/0.52 (define @t209 () (= @t188 @t197)) % 0.23/0.52 (define @t210 () (forall @t5 (= @t1 @t4))) % 0.23/0.52 (assume @p1 @t6) % 0.23/0.52 (assume @p2 @t7) % 0.23/0.52 (assume @p3 @t9) % 0.23/0.52 (assume @p4 (forall @t8 (= tptp.identity (tptp.divide @t2 @t2)))) % 0.23/0.52 (assume @p5 (not (= (tptp.multiply @t11 tptp.c3) (tptp.multiply tptp.a3 @t10)))) % 0.23/0.52 (step @p6 :rule eq-symm :args (@t4 @t1)) % 0.23/0.52 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 0.23/0.52 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.23/0.52 (step @p9 :rule false_intro :premises (@p5)) % 0.23/0.52 (step @p10 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t10))) % 0.23/0.52 (step @p11 :rule symm :premises (@p10)) % 0.23/0.52 (step @p12 :rule refl :args (@t12)) % 0.23/0.52 (step @p13 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t13 tptp.a3))) % 0.23/0.52 (step @p14 :rule symm :premises (@p13)) % 0.23/0.52 (step @p15 :rule cong :premises (@p14 @p12) :args ((tptp.divide @t18 @t12))) % 0.23/0.52 (step @p16 :rule refl :args (@t10)) % 0.23/0.52 (step @p17 :rule instantiate :premises (@p8) :args ((@list @t22 tptp.identity tptp.identity))) % 0.23/0.52 (step @p18 :rule symm :premises (@p17)) % 0.23/0.52 (step @p19 :rule cong :premises (@p18 @p16) :args ((tptp.divide @t24 @t10))) % 0.23/0.52 (step @p20 :rule instantiate :premises (@p2) :args ((@list tptp.b3 tptp.c3))) % 0.23/0.52 (step @p21 :rule symm :premises (@p20)) % 0.23/0.52 (step @p22 :rule refl :args (@t13)) % 0.23/0.52 (step @p23 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.b3))) % 0.23/0.52 (step @p24 :rule cong :premises (@p23 @p22) :args ((tptp.divide tptp.b3 @t13))) % 0.23/0.52 (step @p25 :rule symm :premises (@p24)) % 0.23/0.52 (step @p26 :rule refl :args (tptp.identity)) % 0.23/0.52 (step @p27 :rule instantiate :premises (@p8) :args ((@list @t13 tptp.a3 @t19))) % 0.23/0.52 (step @p28 :rule cong :premises (@p27 @p26) :args (@t20)) % 0.23/0.52 (step @p29 :rule instantiate :premises (@p4) :args (@t25)) % 0.23/0.52 (step @p30 :rule symm :premises (@p29)) % 0.23/0.52 (step @p31 :rule instantiate :premises (@p3) :args (@t25)) % 0.23/0.52 (step @p32 :rule cong :premises (@p30) :args (@t26)) % 0.23/0.52 (step @p33 :rule eq-symm :args (@t26 @t27)) % 0.23/0.52 (step @p34 :rule refl :args (@t9)) % 0.23/0.52 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t9 @t28))) % 0.23/0.52 (assume-push @p782 @t9) % 0.23/0.52 (step @p37 :rule instantiate :premises (@p3) :args (@t29)) % 0.23/0.52 (step-pop @p783 :rule scope :premises (@p37)) % 0.23/0.52 (step @p38 :rule process_scope :premises (@p783) :args (@t28)) % 0.23/0.52 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.23/0.52 (step @p41 :rule implies_elim :premises (@p40)) % 0.23/0.52 (step @p42 :rule chain_m_resolution :premises (@p41 @p3) :args ((= @t27 @t26) @t30 @t31)) % 0.23/0.52 (step @p43 :rule trans :premises (@p42 @p32 @p31 @p30)) % 0.23/0.52 (step @p44 :rule cong :premises (@p43 @p28) :args (@t32)) % 0.23/0.52 (step @p45 :rule trans :premises (@p23 @p44)) % 0.23/0.52 (step @p46 :rule symm :premises (@p45)) % 0.23/0.52 (step @p47 :rule symm :premises (@p27)) % 0.23/0.52 (step @p48 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t37 @t35))) % 0.23/0.52 (step @p49 :rule symm :premises (@p48)) % 0.23/0.52 (step @p50 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t44 @t42))) % 0.23/0.52 (step @p51 :rule symm :premises (@p50)) % 0.23/0.52 (step @p52 :rule instantiate :premises (@p8) :args ((@list @t39 tptp.identity @t40))) % 0.23/0.52 (step @p53 :rule cong :premises (@p52 @p26) :args ((tptp.divide @t40 tptp.identity))) % 0.23/0.52 (step @p54 :rule refl :args (@t37)) % 0.23/0.52 (step @p55 :rule instantiate :premises (@p8) :args ((@list @t21 tptp.identity tptp.identity))) % 0.23/0.52 (step @p56 :rule symm :premises (@p55)) % 0.23/0.52 (step @p57 :rule cong :premises (@p56 @p54) :args ((tptp.divide @t46 @t37))) % 0.23/0.52 (step @p58 :rule refl :args (@t36)) % 0.23/0.52 (step @p59 :rule cong :premises (@p56 @p58) :args ((tptp.divide @t46 @t36))) % 0.23/0.52 (step @p60 :rule instantiate :premises (@p8) :args ((@list (tptp.divide @t23 @t33) tptp.identity @t36))) % 0.23/0.52 (step @p61 :rule symm :premises (@p60)) % 0.23/0.52 (step @p62 :rule instantiate :premises (@p8) :args ((@list @t33 tptp.identity tptp.identity))) % 0.23/0.52 (step @p63 :rule refl :args (@t33)) % 0.23/0.52 (step @p64 :rule cong :premises (@p29 @p63) :args (@t47)) % 0.23/0.52 (step @p65 :rule cong :premises (@p64 @p26) :args (@t48)) % 0.23/0.52 (step @p66 :rule instantiate :premises (@p8) :args ((@list (tptp.divide @t23 @t47) tptp.identity @t48))) % 0.23/0.52 (step @p67 :rule symm :premises (@p66)) % 0.23/0.52 (step @p68 :rule instantiate :premises (@p8) :args ((@list @t47 tptp.identity tptp.identity))) % 0.23/0.52 (step @p69 :rule refl :args (@t47)) % 0.23/0.52 (step @p70 :rule cong :premises (@p29 @p69) :args (@t49)) % 0.23/0.52 (step @p71 :rule cong :premises (@p70 @p26) :args (@t50)) % 0.23/0.52 (step @p72 :rule instantiate :premises (@p8) :args ((@list @t52 tptp.identity tptp.identity))) % 0.23/0.52 (step @p73 :rule symm :premises (@p72)) % 0.23/0.52 (step @p74 :rule symm :premises (@p70)) % 0.23/0.52 (step @p75 :rule instantiate :premises (@p8) :args ((@list @t53 tptp.identity @t47))) % 0.23/0.52 (step @p76 :rule symm :premises (@p75)) % 0.23/0.52 (step @p77 :rule refl :args (@t54)) % 0.23/0.52 (step @p78 :rule instantiate :premises (@p2) :args ((@list tptp.a3 tptp.b3))) % 0.23/0.52 (step @p79 :rule symm :premises (@p78)) % 0.23/0.52 (step @p80 :rule cong :premises (@p79 @p22) :args (@t33)) % 0.23/0.52 (step @p81 :rule symm :premises (@p80)) % 0.23/0.52 (step @p82 :rule cong :premises (@p81 @p26) :args (@t51)) % 0.23/0.52 (step @p83 :rule cong :premises (@p82 @p26) :args (@t52)) % 0.23/0.52 (step @p84 :rule cong :premises (@p83 @p26) :args (@t55)) % 0.23/0.52 (step @p85 :rule cong :premises (@p26 @p84) :args (@t56)) % 0.23/0.52 (step @p86 :rule cong :premises (@p85 @p77) :args (@t57)) % 0.23/0.52 (step @p87 :rule trans :premises (@p86 @p76)) % 0.23/0.52 (step @p88 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t33 tptp.identity))) % 0.23/0.52 (step @p89 :rule symm :premises (@p88)) % 0.23/0.52 (step @p90 :rule cong :premises (@p89 @p29) :args (@t58)) % 0.23/0.52 (step @p91 :rule trans :premises (@p90 @p42 @p32 @p31)) % 0.23/0.52 (step @p92 :rule cong :premises (@p26 @p91) :args (@t59)) % 0.23/0.52 (step @p93 :rule trans :premises (@p92 @p42 @p32 @p31 @p30)) % 0.23/0.52 (step @p94 :rule cong :premises (@p93 @p87) :args ((tptp.divide @t59 @t57))) % 0.23/0.52 (step @p95 :rule instantiate :premises (@p8) :args ((@list @t54 tptp.identity @t55))) % 0.23/0.52 (step @p96 :rule trans :premises (@p95 @p94 @p70)) % 0.23/0.52 (step @p97 :rule symm :premises (@p95)) % 0.23/0.52 (step @p98 :rule symm :premises (@p94)) % 0.23/0.52 (step @p99 :rule trans :premises (@p98 @p97)) % 0.23/0.52 (step @p100 :rule cong :premises (@p30 @p99) :args ((tptp.divide @t23 @t49))) % 0.23/0.52 (step @p101 :rule refl :args (@t49)) % 0.23/0.52 (step @p102 :rule cong :premises (@p29 @p101) :args (@t60)) % 0.23/0.52 (step @p103 :rule instantiate :premises (@p8) :args ((@list @t58 tptp.identity @t60))) % 0.23/0.52 (step @p104 :rule symm :premises (@p103)) % 0.23/0.52 (step @p105 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t49 @t53))) % 0.23/0.52 (step @p106 :rule trans :premises (@p83 @p105)) % 0.23/0.52 (step @p107 :rule symm :premises (@p90)) % 0.23/0.52 (step @p37 :rule instantiate :premises (@p3) :args (@t29)) % 0.23/0.52 (step @p108 :rule symm :premises (@p32)) % 0.23/0.52 (step @p109 :rule eq-symm :args (@t61 @t23)) % 0.23/0.52 (step @p110 :rule cong :premises (@p34 @p109) :args ((=> @t9 @t62))) % 0.23/0.52 (assume-push @p784 @t9) % 0.23/0.52 (step-pop @p785 :rule scope :premises (@p31)) % 0.23/0.52 (step @p112 :rule process_scope :premises (@p785) :args (@t62)) % 0.23/0.52 (step @p114 :rule eq_resolve :premises (@p112 @p110)) % 0.23/0.52 (step @p115 :rule implies_elim :premises (@p114)) % 0.23/0.52 (step @p116 :rule chain_m_resolution :premises (@p115 @p3) :args ((= @t23 @t61) @t30 @t31)) % 0.23/0.52 (step @p117 :rule trans :premises (@p29 @p116 @p108 @p37 @p107)) % 0.23/0.52 (step @p118 :rule cong :premises (@p117 @p30) :args (@t27)) % 0.23/0.52 (step @p119 :rule trans :premises (@p116 @p108 @p37 @p118)) % 0.23/0.52 (step @p120 :rule cong :premises (@p26 @p119) :args (@t27)) % 0.23/0.52 (step @p121 :rule trans :premises (@p29 @p116 @p108 @p37 @p120)) % 0.23/0.52 (step @p122 :rule cong :premises (@p121 @p106) :args ((tptp.divide tptp.identity @t52))) % 0.23/0.52 (step @p123 :rule trans :premises (@p122 @p104 @p102 @p100 @p85)) % 0.23/0.52 (step @p124 :rule refl :args (@t52)) % 0.23/0.52 (step @p125 :rule cong :premises (@p30 @p124) :args (@t63)) % 0.23/0.52 (step @p126 :rule trans :premises (@p125 @p123)) % 0.23/0.52 (step @p127 :rule cong :premises (@p126 @p88) :args (@t64)) % 0.23/0.52 (step @p128 :rule symm :premises (@p125)) % 0.23/0.52 (step @p129 :rule symm :premises (@p122)) % 0.23/0.52 (step @p130 :rule trans :premises (@p103 @p129)) % 0.23/0.52 (step @p131 :rule trans :premises (@p130 @p128)) % 0.23/0.52 (step @p132 :rule cong :premises (@p131 @p26) :args (@t65)) % 0.23/0.52 (step @p133 :rule trans :premises (@p132 @p127 @p76)) % 0.23/0.52 (step @p134 :rule cong :premises (@p26 @p133) :args ((tptp.divide tptp.identity @t65))) % 0.23/0.52 (step @p135 :rule symm :premises (@p132)) % 0.23/0.52 (step @p136 :rule cong :premises (@p26 @p135) :args (@t66)) % 0.23/0.52 (step @p137 :rule trans :premises (@p136 @p134 @p98 @p97)) % 0.23/0.52 (step @p138 :rule trans :premises (@p137 @p96 @p74)) % 0.23/0.52 (step @p139 :rule cong :premises (@p138 @p73) :args ((tptp.divide @t66 (tptp.divide @t56 @t63)))) % 0.23/0.52 (step @p140 :rule instantiate :premises (@p8) :args ((@list @t63 tptp.identity @t55))) % 0.23/0.52 (step @p141 :rule trans :premises (@p140 @p139 @p71)) % 0.23/0.52 (step @p142 :rule cong :premises (@p26 @p141) :args (@t56)) % 0.23/0.52 (step @p143 :rule trans :premises (@p122 @p104 @p102 @p100 @p142)) % 0.23/0.52 (step @p144 :rule trans :premises (@p125 @p143)) % 0.23/0.52 (step @p145 :rule cong :premises (@p144 @p68) :args (@t64)) % 0.23/0.52 (step @p146 :rule symm :premises (@p127)) % 0.23/0.52 (step @p147 :rule trans :premises (@p75 @p146 @p145 @p67 @p65)) % 0.23/0.52 (step @p148 :rule cong :premises (@p26 @p147) :args (@t49)) % 0.23/0.52 (step @p149 :rule cong :premises (@p148 @p62) :args (@t50)) % 0.23/0.52 (step @p150 :rule trans :premises (@p140 @p139 @p149 @p61)) % 0.23/0.52 (step @p151 :rule cong :premises (@p55 @p150) :args (@t56)) % 0.23/0.52 (step @p152 :rule instantiate :premises (@p8) :args ((@list @t70 tptp.identity @t52))) % 0.23/0.52 (step @p153 :rule symm :premises (@p152)) % 0.23/0.52 (step @p154 :rule refl :args (@t70)) % 0.23/0.52 (step @p155 :rule symm :premises (@p83)) % 0.23/0.52 (step @p156 :rule instantiate :premises (@p8) :args ((@list @t35 tptp.identity @t36))) % 0.23/0.52 (step @p157 :rule symm :premises (@p156)) % 0.23/0.52 (step @p158 :rule cong :premises (@p157 @p26) :args (@t71)) % 0.23/0.52 (step @p159 :rule trans :premises (@p158 @p155)) % 0.23/0.52 (step @p160 :rule cong :premises (@p26 @p159) :args (@t72)) % 0.23/0.52 (step @p161 :rule cong :premises (@p160 @p154) :args ((tptp.divide @t72 @t70))) % 0.23/0.52 (step @p162 :rule instantiate :premises (@p8) :args ((@list @t68 tptp.identity @t15))) % 0.23/0.52 (step @p163 :rule instantiate :premises (@p8) :args ((@list @t73 @t17 @t15))) % 0.23/0.52 (step @p164 :rule symm :premises (@p163)) % 0.23/0.52 (step @p165 :rule trans :premises (@p164 @p162 @p161)) % 0.23/0.52 (step @p166 :rule refl :args (@t68)) % 0.23/0.52 (step @p167 :rule instantiate :premises (@p8) :args ((@list @t33 tptp.identity @t14))) % 0.23/0.52 (step @p168 :rule symm :premises (@p167)) % 0.23/0.52 (step @p169 :rule cong :premises (@p168 @p26) :args (@t39)) % 0.23/0.52 (step @p170 :rule cong :premises (@p26 @p169) :args (@t74)) % 0.23/0.52 (step @p171 :rule cong :premises (@p170 @p166) :args ((tptp.divide @t74 @t68))) % 0.23/0.52 (step @p172 :rule instantiate :premises (@p8) :args ((@list @t38 tptp.identity @t67))) % 0.23/0.52 (step @p173 :rule trans :premises (@p28 @p172 @p171)) % 0.23/0.52 (step @p174 :rule cong :premises (@p173 @p26) :args (@t21)) % 0.23/0.52 (step @p175 :rule cong :premises (@p26 @p174) :args (@t75)) % 0.23/0.52 (step @p176 :rule symm :premises (@p28)) % 0.23/0.52 (step @p177 :rule symm :premises (@p172)) % 0.23/0.52 (step @p178 :rule instantiate :premises (@p8) :args ((@list tptp.a3 @t73 @t51))) % 0.23/0.52 (step @p179 :rule symm :premises (@p178)) % 0.23/0.52 (step @p180 :rule trans :premises (@p179 @p82 @p156)) % 0.23/0.52 (step @p181 :rule symm :premises (@p170)) % 0.23/0.52 (step @p182 :rule refl :args (tptp.a3)) % 0.23/0.52 (step @p183 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t11 @t13))) % 0.23/0.52 (step @p184 :rule symm :premises (@p183)) % 0.23/0.52 (step @p185 :rule cong :premises (@p184 @p182) :args (@t77)) % 0.23/0.52 (step @p186 :rule trans :premises (@p185 @p167)) % 0.23/0.52 (step @p187 :rule cong :premises (@p186 @p26) :args (@t78)) % 0.23/0.52 (step @p188 :rule trans :premises (@p187 @p169)) % 0.23/0.52 (step @p189 :rule cong :premises (@p26 @p188) :args (@t79)) % 0.23/0.52 (step @p190 :rule trans :premises (@p189 @p181)) % 0.23/0.52 (step @p191 :rule cong :premises (@p190 @p180) :args ((tptp.divide @t79 (tptp.divide (tptp.divide tptp.identity @t80) @t77)))) % 0.23/0.52 (step @p192 :rule instantiate :premises (@p8) :args ((@list @t77 tptp.identity @t80))) % 0.23/0.52 (step @p193 :rule refl :args (@t73)) % 0.23/0.52 (step @p194 :rule cong :premises (@p14 @p193) :args (@t81)) % 0.23/0.52 (step @p195 :rule trans :premises (@p194 @p192 @p191 @p177 @p176)) % 0.23/0.52 (step @p196 :rule cong :premises (@p195 @p26) :args (@t82)) % 0.23/0.52 (step @p197 :rule cong :premises (@p26 @p196) :args (@t83)) % 0.23/0.52 (step @p198 :rule trans :premises (@p197 @p175)) % 0.23/0.52 (step @p199 :rule cong :premises (@p198 @p165) :args ((tptp.divide @t83 @t84))) % 0.23/0.52 (step @p200 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t41 @t39))) % 0.23/0.52 (step @p201 :rule symm :premises (@p200)) % 0.23/0.52 (step @p202 :rule trans :premises (@p201 @p169 @p163)) % 0.23/0.52 (step @p203 :rule symm :premises (@p197)) % 0.23/0.52 (step @p204 :rule trans :premises (@p49 @p47)) % 0.23/0.52 (step @p205 :rule cong :premises (@p204 @p26) :args (@t85)) % 0.23/0.52 (step @p206 :rule cong :premises (@p205 @p26) :args (@t86)) % 0.23/0.52 (step @p207 :rule cong :premises (@p26 @p206) :args (@t87)) % 0.23/0.52 (step @p208 :rule trans :premises (@p207 @p203)) % 0.23/0.52 (step @p209 :rule cong :premises (@p208 @p202) :args ((tptp.divide @t87 (tptp.divide @t89 @t85)))) % 0.23/0.52 (step @p210 :rule instantiate :premises (@p8) :args ((@list @t85 tptp.identity @t88))) % 0.23/0.52 (step @p211 :rule trans :premises (@p210 @p209 @p199 @p153)) % 0.23/0.52 (step @p212 :rule cong :premises (@p30 @p211) :args ((tptp.divide @t23 @t88))) % 0.23/0.52 (step @p213 :rule refl :args (@t88)) % 0.23/0.52 (step @p214 :rule cong :premises (@p29 @p213) :args (@t89)) % 0.23/0.52 (step @p215 :rule trans :premises (@p214 @p212 @p122 @p104 @p102 @p100 @p151 @p59)) % 0.23/0.52 (step @p216 :rule cong :premises (@p55 @p215) :args ((tptp.divide tptp.identity @t89))) % 0.23/0.52 (step @p217 :rule symm :premises (@p214)) % 0.23/0.52 (step @p218 :rule symm :premises (@p212)) % 0.23/0.52 (step @p219 :rule trans :premises (@p103 @p129 @p218 @p217)) % 0.23/0.52 (step @p220 :rule cong :premises (@p30 @p219) :args ((tptp.divide @t23 @t60))) % 0.23/0.52 (step @p221 :rule refl :args (@t60)) % 0.23/0.52 (step @p222 :rule cong :premises (@p29 @p221) :args (@t90)) % 0.23/0.52 (step @p223 :rule trans :premises (@p222 @p220 @p216 @p57)) % 0.23/0.52 (step @p224 :rule cong :premises (@p223 @p30) :args ((tptp.divide @t90 @t23))) % 0.23/0.52 (step @p225 :rule refl :args (@t90)) % 0.23/0.52 (step @p226 :rule cong :premises (@p225 @p91) :args ((tptp.divide @t90 @t58))) % 0.23/0.52 (step @p227 :rule trans :premises (@p210 @p209 @p199 @p153 @p83 @p105 @p226 @p224 @p53)) % 0.23/0.52 (step @p228 :rule refl :args (@t91)) % 0.23/0.52 (step @p229 :rule cong :premises (@p228 @p227) :args ((tptp.divide @t91 @t88))) % 0.23/0.52 (step @p230 :rule symm :premises (@p210)) % 0.23/0.52 (step @p231 :rule symm :premises (@p209)) % 0.23/0.52 (step @p232 :rule symm :premises (@p199)) % 0.23/0.52 (step @p233 :rule symm :premises (@p96)) % 0.23/0.52 (step @p234 :rule trans :premises (@p70 @p233 @p150)) % 0.23/0.52 (step @p235 :rule cong :premises (@p234 @p26) :args (@t50)) % 0.23/0.52 (step @p236 :rule symm :premises (@p149)) % 0.23/0.52 (step @p237 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t34 @t33))) % 0.23/0.52 (step @p238 :rule symm :premises (@p237)) % 0.23/0.52 (step @p239 :rule trans :premises (@p238 @p80)) % 0.23/0.52 (step @p240 :rule cong :premises (@p239 @p26) :args (@t94)) % 0.23/0.52 (step @p241 :rule trans :premises (@p240 @p82 @p60 @p236 @p235 @p155 @p152 @p232 @p231 @p230)) % 0.23/0.52 (step @p242 :rule symm :premises (@p169)) % 0.23/0.52 (step @p243 :rule cong :premises (@p242 @p26) :args (@t95)) % 0.23/0.52 (step @p244 :rule cong :premises (@p26 @p243) :args (@t96)) % 0.23/0.52 (step @p245 :rule symm :premises (@p243)) % 0.23/0.52 (step @p246 :rule trans :premises (@p164 @p242)) % 0.23/0.52 (step @p247 :rule cong :premises (@p246 @p26) :args (@t97)) % 0.23/0.52 (step @p248 :rule trans :premises (@p247 @p245)) % 0.23/0.52 (step @p249 :rule cong :premises (@p26 @p248) :args (@t98)) % 0.23/0.52 (step @p250 :rule trans :premises (@p249 @p244)) % 0.23/0.52 (step @p251 :rule cong :premises (@p26 @p250) :args (@t99)) % 0.23/0.52 (step @p252 :rule cong :premises (@p26 @p251) :args ((tptp.divide tptp.identity @t99))) % 0.23/0.52 (step @p253 :rule symm :premises (@p251)) % 0.23/0.52 (step @p254 :rule symm :premises (@p162)) % 0.23/0.52 (step @p255 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t93 @t67))) % 0.23/0.52 (step @p256 :rule symm :premises (@p255)) % 0.23/0.52 (step @p257 :rule trans :premises (@p256 @p172 @p171)) % 0.23/0.52 (step @p258 :rule symm :premises (@p160)) % 0.23/0.52 (step @p259 :rule symm :premises (@p82)) % 0.23/0.52 (step @p260 :rule trans :premises (@p157 @p259)) % 0.23/0.52 (step @p261 :rule symm :premises (@p260)) % 0.23/0.52 (step @p262 :rule trans :premises (@p240 @p261)) % 0.23/0.52 (step @p263 :rule cong :premises (@p262 @p26) :args (@t100)) % 0.23/0.52 (step @p264 :rule trans :premises (@p263 @p158 @p155)) % 0.23/0.52 (step @p265 :rule cong :premises (@p26 @p264) :args (@t101)) % 0.23/0.52 (step @p266 :rule trans :premises (@p265 @p258)) % 0.23/0.52 (step @p267 :rule cong :premises (@p266 @p257) :args ((tptp.divide @t101 @t104))) % 0.23/0.52 (step @p268 :rule instantiate :premises (@p8) :args ((@list @t94 tptp.identity @t102))) % 0.23/0.52 (step @p269 :rule trans :premises (@p268 @p267 @p254)) % 0.23/0.52 (step @p270 :rule trans :premises (@p269 @p242)) % 0.23/0.52 (step @p271 :rule cong :premises (@p270 @p26) :args (@t105)) % 0.23/0.52 (step @p272 :rule trans :premises (@p271 @p245)) % 0.23/0.52 (step @p273 :rule cong :premises (@p43 @p272) :args ((tptp.divide @t27 @t105))) % 0.23/0.52 (step @p274 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t93))) % 0.23/0.52 (step @p275 :rule trans :premises (@p274 @p273 @p244)) % 0.23/0.52 (step @p276 :rule cong :premises (@p18 @p275) :args ((tptp.divide @t24 @t93))) % 0.23/0.52 (step @p277 :rule refl :args (@t93)) % 0.23/0.52 (step @p278 :rule cong :premises (@p17 @p277) :args (@t102)) % 0.23/0.52 (step @p279 :rule symm :premises (@p268)) % 0.23/0.52 (step @p280 :rule symm :premises (@p267)) % 0.23/0.52 (step @p281 :rule trans :premises (@p162 @p280 @p279 @p278 @p276 @p253)) % 0.23/0.52 (step @p282 :rule cong :premises (@p26 @p281) :args (@t69)) % 0.23/0.52 (step @p283 :rule cong :premises (@p30 @p269) :args ((tptp.divide @t23 @t102))) % 0.23/0.52 (step @p284 :rule refl :args (@t102)) % 0.23/0.52 (step @p285 :rule cong :premises (@p29 @p284) :args (@t103)) % 0.23/0.52 (step @p286 :rule trans :premises (@p285 @p283)) % 0.23/0.52 (step @p287 :rule trans :premises (@p286 @p282 @p252)) % 0.23/0.52 (step @p288 :rule cong :premises (@p287 @p241) :args (@t104)) % 0.23/0.52 (step @p289 :rule trans :premises (@p28 @p255 @p288 @p229 @p51 @p49 @p47)) % 0.23/0.52 (step @p290 :rule cong :premises (@p289 @p26) :args (@t21)) % 0.23/0.52 (step @p291 :rule cong :premises (@p176 @p26) :args (@t106)) % 0.23/0.52 (step @p292 :rule trans :premises (@p291 @p290 @p28)) % 0.23/0.52 (step @p293 :rule cong :premises (@p26 @p292) :args ((tptp.divide tptp.identity @t106))) % 0.23/0.52 (step @p294 :rule symm :premises (@p291)) % 0.23/0.52 (step @p295 :rule cong :premises (@p26 @p294) :args (@t75)) % 0.23/0.52 (step @p296 :rule trans :premises (@p295 @p293)) % 0.23/0.52 (step @p297 :rule symm :premises (@p295)) % 0.23/0.52 (step @p298 :rule symm :premises (@p293)) % 0.23/0.52 (step @p299 :rule trans :premises (@p291 @p290)) % 0.23/0.52 (step @p300 :rule trans :premises (@p256 @p176)) % 0.23/0.52 (step @p301 :rule cong :premises (@p300 @p26) :args (@t107)) % 0.23/0.52 (step @p302 :rule trans :premises (@p301 @p294 @p299)) % 0.23/0.52 (step @p303 :rule cong :premises (@p302 @p26) :args ((tptp.divide @t107 tptp.identity))) % 0.23/0.52 (step @p304 :rule symm :premises (@p301)) % 0.23/0.52 (step @p305 :rule cong :premises (@p304 @p26) :args (@t22)) % 0.23/0.52 (step @p306 :rule cong :premises (@p291 @p26) :args (@t108)) % 0.23/0.52 (step @p307 :rule trans :premises (@p306 @p305 @p303 @p290 @p28)) % 0.23/0.52 (step @p308 :rule cong :premises (@p26 @p307) :args ((tptp.divide tptp.identity @t108))) % 0.23/0.52 (step @p309 :rule trans :premises (@p308 @p298 @p297)) % 0.23/0.52 (step @p310 :rule symm :premises (@p306)) % 0.23/0.52 (step @p311 :rule cong :premises (@p26 @p310) :args (@t45)) % 0.23/0.52 (step @p312 :rule trans :premises (@p311 @p309 @p296 @p46 @p23)) % 0.23/0.52 (step @p313 :rule cong :premises (@p312 @p22) :args ((tptp.divide @t45 @t13))) % 0.23/0.52 (step @p314 :rule instantiate :premises (@p3) :args ((@list tptp.c3))) % 0.23/0.52 (step @p315 :rule instantiate :premises (@p8) :args ((@list tptp.a3 tptp.identity tptp.c3))) % 0.23/0.52 (step @p316 :rule symm :premises (@p315)) % 0.23/0.52 (step @p317 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t13))) % 0.23/0.52 (step @p318 :rule symm :premises (@p317)) % 0.23/0.52 (step @p319 :rule refl :args (@t109)) % 0.23/0.52 (step @p320 :rule symm :premises (@p43)) % 0.23/0.52 (step @p321 :rule cong :premises (@p320 @p319) :args (@t110)) % 0.23/0.52 (step @p322 :rule trans :premises (@p321 @p318)) % 0.23/0.52 (step @p323 :rule trans :premises (@p322 @p183)) % 0.23/0.52 (step @p324 :rule cong :premises (@p323 @p182) :args (@t111)) % 0.23/0.52 (step @p325 :rule trans :premises (@p324 @p185)) % 0.23/0.52 (step @p326 :rule refl :args (@t113)) % 0.23/0.52 (step @p327 :rule cong :premises (@p326 @p325) :args ((tptp.divide @t113 @t111))) % 0.23/0.52 (step @p328 :rule instantiate :premises (@p8) :args ((@list tptp.a3 tptp.identity @t109))) % 0.23/0.52 (step @p329 :rule instantiate :premises (@p8) :args ((@list (tptp.divide @t23 @t16) tptp.identity @t109))) % 0.23/0.52 (step @p330 :rule symm :premises (@p329)) % 0.23/0.52 (step @p331 :rule instantiate :premises (@p8) :args ((@list @t16 tptp.identity tptp.identity))) % 0.23/0.52 (step @p332 :rule trans :premises (@p30 @p331)) % 0.23/0.52 (step @p333 :rule refl :args (@t16)) % 0.23/0.52 (step @p334 :rule cong :premises (@p29 @p333) :args (@t17)) % 0.23/0.52 (step @p335 :rule cong :premises (@p334 @p26) :args (@t114)) % 0.23/0.52 (step @p336 :rule cong :premises (@p26 @p335) :args (@t115)) % 0.23/0.52 (step @p337 :rule refl :args (@t114)) % 0.23/0.52 (step @p338 :rule cong :premises (@p43 @p337) :args ((tptp.divide @t27 @t114))) % 0.23/0.52 (step @p339 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t16))) % 0.23/0.52 (step @p340 :rule trans :premises (@p339 @p338 @p336)) % 0.23/0.52 (step @p341 :rule instantiate :premises (@p8) :args ((@list @t15 tptp.identity @t16))) % 0.23/0.52 (step @p342 :rule symm :premises (@p341)) % 0.23/0.52 (step @p343 :rule refl :args (@t17)) % 0.23/0.52 (step @p344 :rule cong :premises (@p343 @p269) :args ((tptp.divide @t17 @t102))) % 0.23/0.52 (step @p345 :rule symm :premises (@p288)) % 0.23/0.52 (step @p346 :rule symm :premises (@p229)) % 0.23/0.52 (step @p347 :rule trans :premises (@p27 @p48 @p50 @p346 @p345 @p256 @p172 @p171)) % 0.23/0.52 (step @p348 :rule symm :premises (@p102)) % 0.23/0.52 (step @p349 :rule symm :premises (@p100)) % 0.23/0.52 (step @p350 :rule symm :premises (@p151)) % 0.23/0.52 (step @p351 :rule symm :premises (@p59)) % 0.23/0.52 (step @p352 :rule trans :premises (@p351 @p350 @p349 @p348 @p103 @p129)) % 0.23/0.52 (step @p353 :rule trans :premises (@p352 @p258)) % 0.23/0.52 (step @p354 :rule cong :premises (@p353 @p347) :args ((tptp.divide @t37 @t19))) % 0.23/0.52 (step @p355 :rule cong :premises (@p54 @p47) :args (@t38)) % 0.23/0.52 (step @p356 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t14))) % 0.23/0.52 (step @p357 :rule symm :premises (@p356)) % 0.23/0.52 (step @p358 :rule refl :args (@t116)) % 0.23/0.52 (step @p359 :rule cong :premises (@p320 @p358) :args (@t117)) % 0.23/0.52 (step @p360 :rule trans :premises (@p359 @p357 @p167 @p355 @p354 @p280 @p279)) % 0.23/0.52 (step @p361 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t17))) % 0.23/0.52 (step @p362 :rule symm :premises (@p361)) % 0.23/0.52 (step @p363 :rule instantiate :premises (@p8) :args ((@list @t119 tptp.identity @t118))) % 0.23/0.52 (step @p364 :rule symm :premises (@p363)) % 0.23/0.52 (step @p365 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t17 @t15))) % 0.23/0.52 (step @p366 :rule instantiate :premises (@p8) :args ((@list @t120 tptp.identity @t15))) % 0.23/0.52 (step @p367 :rule symm :premises (@p366)) % 0.23/0.52 (step @p368 :rule trans :premises (@p367 @p365)) % 0.23/0.52 (step @p369 :rule cong :premises (@p13 @p26) :args (@t112)) % 0.23/0.52 (step @p370 :rule cong :premises (@p369 @p26) :args (@t121)) % 0.23/0.52 (step @p371 :rule instantiate :premises (@p8) :args ((@list @t14 tptp.identity @t112))) % 0.23/0.52 (step @p372 :rule symm :premises (@p371)) % 0.23/0.52 (step @p373 :rule cong :premises (@p372 @p26) :args (@t123)) % 0.23/0.52 (step @p374 :rule trans :premises (@p373 @p370)) % 0.23/0.52 (step @p375 :rule cong :premises (@p26 @p374) :args (@t124)) % 0.23/0.52 (step @p376 :rule cong :premises (@p375 @p368) :args (@t128)) % 0.23/0.52 (step @p377 :rule instantiate :premises (@p8) :args ((@list @t122 tptp.identity @t125))) % 0.23/0.52 (step @p378 :rule trans :premises (@p377 @p376 @p364)) % 0.23/0.52 (step @p379 :rule cong :premises (@p378 @p26) :args (@t129)) % 0.23/0.52 (step @p380 :rule cong :premises (@p320 @p379) :args (@t130)) % 0.23/0.52 (step @p381 :rule symm :premises (@p379)) % 0.23/0.52 (step @p382 :rule cong :premises (@p26 @p381) :args ((tptp.divide tptp.identity @t131))) % 0.23/0.52 (step @p383 :rule trans :premises (@p382 @p380 @p362)) % 0.23/0.52 (step @p384 :rule symm :premises (@p382)) % 0.23/0.52 (step @p385 :rule trans :premises (@p384 @p383)) % 0.23/0.52 (step @p386 :rule cong :premises (@p385 @p360) :args ((tptp.divide @t130 @t117))) % 0.23/0.52 (step @p387 :rule symm :premises (@p359)) % 0.23/0.52 (step @p388 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t113 @t14))) % 0.23/0.52 (step @p389 :rule symm :premises (@p388)) % 0.23/0.52 (step @p390 :rule trans :premises (@p389 @p356 @p387)) % 0.23/0.52 (step @p391 :rule refl :args (@t130)) % 0.23/0.52 (step @p392 :rule cong :premises (@p391 @p390) :args (@t135)) % 0.23/0.52 (step @p393 :rule instantiate :premises (@p8) :args ((@list @t125 tptp.identity @t132))) % 0.23/0.52 (step @p394 :rule trans :premises (@p393 @p392 @p386 @p344)) % 0.23/0.52 (step @p395 :rule symm :premises (@p244)) % 0.23/0.52 (step @p396 :rule refl :args (@t95)) % 0.23/0.52 (step @p397 :rule cong :premises (@p18 @p396) :args ((tptp.divide @t24 @t95))) % 0.23/0.52 (step @p398 :rule cong :premises (@p242 @p30) :args ((tptp.divide @t15 @t23))) % 0.23/0.52 (step @p399 :rule instantiate :premises (@p2) :args ((@list @t15 tptp.identity))) % 0.23/0.52 (step @p400 :rule trans :premises (@p167 @p355 @p354 @p254)) % 0.23/0.52 (step @p401 :rule cong :premises (@p400 @p26) :args ((tptp.multiply @t14 tptp.identity))) % 0.23/0.52 (step @p402 :rule instantiate :premises (@p2) :args ((@list @t14 tptp.identity))) % 0.23/0.52 (step @p403 :rule symm :premises (@p402)) % 0.23/0.52 (step @p404 :rule cong :premises (@p185 @p29) :args (@t78)) % 0.23/0.52 (step @p405 :rule symm :premises (@p187)) % 0.23/0.52 (step @p406 :rule trans :premises (@p242 @p405 @p404 @p403 @p401 @p399 @p398 @p245)) % 0.23/0.52 (step @p407 :rule cong :premises (@p17 @p406) :args (@t69)) % 0.23/0.52 (step @p408 :rule trans :premises (@p407 @p397 @p244)) % 0.23/0.52 (step @p409 :rule symm :premises (@p185)) % 0.23/0.52 (step @p410 :rule trans :premises (@p389 @p409)) % 0.23/0.52 (step @p411 :rule cong :premises (@p410 @p26) :args (@t136)) % 0.23/0.52 (step @p412 :rule trans :premises (@p411 @p187 @p169)) % 0.23/0.52 (step @p413 :rule cong :premises (@p26 @p412) :args (@t137)) % 0.23/0.52 (step @p414 :rule trans :premises (@p413 @p408 @p395)) % 0.23/0.52 (step @p415 :rule cong :premises (@p414 @p394) :args ((tptp.divide @t137 @t132))) % 0.23/0.52 (step @p416 :rule symm :premises (@p393)) % 0.23/0.52 (step @p417 :rule refl :args (@t137)) % 0.23/0.52 (step @p418 :rule cong :premises (@p417 @p416) :args ((tptp.divide @t137 @t135))) % 0.23/0.52 (step @p419 :rule instantiate :premises (@p8) :args ((@list @t134 tptp.identity @t129))) % 0.23/0.52 (step @p420 :rule trans :premises (@p419 @p418 @p415 @p342)) % 0.23/0.52 (step @p421 :rule trans :premises (@p420 @p340)) % 0.23/0.52 (step @p422 :rule cong :premises (@p421 @p332) :args ((tptp.divide @t129 @t23))) % 0.23/0.52 (step @p423 :rule refl :args (@t129)) % 0.23/0.52 (step @p424 :rule cong :premises (@p423 @p29) :args (@t138)) % 0.23/0.52 (step @p425 :rule trans :premises (@p424 @p422 @p330 @p328 @p327 @p316)) % 0.23/0.52 (step @p426 :rule cong :premises (@p425) :args ((tptp.inverse @t138))) % 0.23/0.52 (step @p427 :rule symm :premises (@p424)) % 0.23/0.52 (step @p428 :rule symm :premises (@p422)) % 0.23/0.52 (step @p429 :rule symm :premises (@p328)) % 0.23/0.52 (step @p430 :rule symm :premises (@p327)) % 0.23/0.52 (step @p431 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t69 @t120))) % 0.23/0.52 (step @p432 :rule symm :premises (@p431)) % 0.23/0.52 (step @p433 :rule instantiate :premises (@p8) :args ((@list @t127 tptp.identity @t123))) % 0.23/0.52 (step @p434 :rule symm :premises (@p433)) % 0.23/0.52 (step @p435 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t133 @t125))) % 0.23/0.52 (step @p436 :rule symm :premises (@p435)) % 0.23/0.52 (step @p437 :rule trans :premises (@p436 @p377)) % 0.23/0.52 (step @p438 :rule trans :premises (@p169 @p366)) % 0.23/0.52 (step @p439 :rule cong :premises (@p438 @p26) :args (@t43)) % 0.23/0.52 (step @p440 :rule trans :premises (@p243 @p439)) % 0.23/0.52 (step @p441 :rule cong :premises (@p26 @p440) :args (@t96)) % 0.23/0.52 (step @p442 :rule trans :premises (@p412 @p242)) % 0.23/0.52 (step @p443 :rule cong :premises (@p442 @p26) :args (@t139)) % 0.23/0.52 (step @p444 :rule trans :premises (@p443 @p245)) % 0.23/0.52 (step @p445 :rule cong :premises (@p26 @p444) :args (@t140)) % 0.23/0.52 (step @p446 :rule trans :premises (@p445 @p441)) % 0.23/0.52 (step @p447 :rule cong :premises (@p446 @p437) :args ((tptp.divide @t140 (tptp.divide @t142 @t136)))) % 0.23/0.52 (step @p448 :rule instantiate :premises (@p8) :args ((@list @t136 tptp.identity @t141))) % 0.23/0.52 (step @p449 :rule trans :premises (@p448 @p447 @p434)) % 0.23/0.52 (step @p450 :rule refl :args (@t143)) % 0.23/0.52 (step @p451 :rule cong :premises (@p450 @p449) :args ((tptp.divide @t143 @t141))) % 0.23/0.52 (step @p452 :rule instantiate :premises (@p2) :args ((@list tptp.identity @t132))) % 0.23/0.52 (step @p453 :rule symm :premises (@p392)) % 0.23/0.52 (step @p454 :rule symm :premises (@p386)) % 0.23/0.52 (step @p455 :rule symm :premises (@p344)) % 0.23/0.52 (step @p456 :rule trans :premises (@p13 @p455 @p454 @p453 @p416)) % 0.23/0.52 (step @p457 :rule cong :premises (@p26 @p456) :args (@t144)) % 0.23/0.52 (step @p458 :rule eq-symm :args (@t144 @t146)) % 0.23/0.52 (step @p459 :rule refl :args (@t7)) % 0.23/0.52 (step @p460 :rule cong :premises (@p459 @p458) :args ((=> @t7 @t147))) % 0.23/0.52 (assume-push @p786 @t7) % 0.23/0.52 (step @p462 :rule instantiate :premises (@p2) :args (@t148)) % 0.23/0.52 (step-pop @p787 :rule scope :premises (@p462)) % 0.23/0.52 (step @p463 :rule process_scope :premises (@p787) :args (@t147)) % 0.23/0.52 (step @p465 :rule eq_resolve :premises (@p463 @p460)) % 0.23/0.52 (step @p466 :rule implies_elim :premises (@p465)) % 0.23/0.52 (step @p467 :rule chain_m_resolution :premises (@p466 @p2) :args ((= @t146 @t144) @t30 @t149)) % 0.23/0.52 (step @p468 :rule cong :premises (@p18 @p182) :args ((tptp.divide @t24 tptp.a3))) % 0.23/0.52 (step @p469 :rule symm :premises (@p456)) % 0.23/0.52 (step @p470 :rule cong :premises (@p17 @p469) :args (@t133)) % 0.23/0.52 (step @p471 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t133))) % 0.23/0.52 (step @p472 :rule symm :premises (@p471)) % 0.23/0.52 (step @p473 :rule symm :premises (@p449)) % 0.23/0.52 (step @p474 :rule cong :premises (@p473 @p26) :args (@t150)) % 0.23/0.52 (step @p475 :rule cong :premises (@p320 @p474) :args ((tptp.divide tptp.identity @t150))) % 0.23/0.52 (step @p476 :rule symm :premises (@p373)) % 0.23/0.52 (step @p477 :rule cong :premises (@p476 @p26) :args (@t151)) % 0.23/0.52 (step @p478 :rule cong :premises (@p26 @p477) :args ((tptp.divide tptp.identity @t151))) % 0.23/0.52 (step @p479 :rule symm :premises (@p477)) % 0.23/0.52 (step @p480 :rule instantiate :premises (@p8) :args ((@list @t132 tptp.identity tptp.identity))) % 0.23/0.52 (step @p481 :rule symm :premises (@p480)) % 0.23/0.52 (step @p482 :rule instantiate :premises (@p8) :args ((@list @t121 tptp.identity @t145))) % 0.23/0.52 (step @p483 :rule symm :premises (@p482)) % 0.23/0.52 (step @p484 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a3 tptp.identity))) % 0.23/0.52 (step @p485 :rule symm :premises (@p478)) % 0.23/0.52 (step @p486 :rule symm :premises (@p475)) % 0.23/0.52 (step @p487 :rule symm :premises (@p470)) % 0.23/0.52 (step @p488 :rule symm :premises (@p468)) % 0.23/0.52 (step @p489 :rule trans :premises (@p488 @p487 @p471 @p486 @p485)) % 0.23/0.52 (step @p490 :rule refl :args (@t132)) % 0.23/0.52 (step @p491 :rule cong :premises (@p30 @p490) :args (@t152)) % 0.23/0.52 (step @p492 :rule trans :premises (@p491 @p470 @p468)) % 0.23/0.52 (step @p493 :rule symm :premises (@p491)) % 0.23/0.52 (step @p494 :rule trans :premises (@p493 @p492 @p489)) % 0.23/0.52 (step @p495 :rule cong :premises (@p494 @p484) :args ((tptp.divide @t133 tptp.identity))) % 0.23/0.52 (step @p496 :rule symm :premises (@p492)) % 0.23/0.52 (step @p497 :rule trans :premises (@p496 @p491)) % 0.23/0.52 (step @p498 :rule cong :premises (@p497 @p30) :args ((tptp.divide @t145 @t23))) % 0.23/0.52 (step @p499 :rule refl :args (@t145)) % 0.23/0.52 (step @p500 :rule cong :premises (@p499 @p29) :args (@t153)) % 0.23/0.52 (step @p501 :rule cong :premises (@p30 @p182) :args (@t154)) % 0.23/0.52 (step @p502 :rule cong :premises (@p501 @p26) :args (@t155)) % 0.23/0.52 (step @p503 :rule trans :premises (@p502 @p500 @p498 @p495 @p483)) % 0.23/0.52 (step @p504 :rule cong :premises (@p26 @p503) :args ((tptp.divide tptp.identity @t155))) % 0.23/0.52 (step @p505 :rule symm :premises (@p502)) % 0.23/0.52 (step @p506 :rule cong :premises (@p26 @p505) :args ((tptp.divide tptp.identity @t153))) % 0.23/0.52 (step @p507 :rule symm :premises (@p500)) % 0.23/0.52 (step @p508 :rule symm :premises (@p498)) % 0.23/0.52 (step @p509 :rule cong :premises (@p491 @p26) :args (@t156)) % 0.23/0.52 (step @p510 :rule trans :premises (@p509 @p508 @p507)) % 0.23/0.52 (step @p511 :rule cong :premises (@p26 @p510) :args (@t157)) % 0.23/0.52 (step @p512 :rule trans :premises (@p511 @p506 @p504 @p467 @p457 @p452 @p448 @p447 @p434)) % 0.23/0.52 (step @p513 :rule cong :premises (@p512 @p481) :args ((tptp.divide @t157 (tptp.divide (tptp.divide tptp.identity @t158) @t152)))) % 0.23/0.52 (step @p514 :rule instantiate :premises (@p8) :args ((@list @t152 tptp.identity @t158))) % 0.23/0.52 (step @p515 :rule cong :premises (@p456 @p30) :args ((tptp.divide tptp.a3 @t23))) % 0.23/0.52 (step @p516 :rule cong :premises (@p14 @p29) :args (@t119)) % 0.23/0.52 (step @p517 :rule trans :premises (@p369 @p516 @p515 @p514 @p513 @p479)) % 0.23/0.52 (step @p518 :rule cong :premises (@p26 @p517) :args (@t113)) % 0.23/0.52 (step @p519 :rule symm :premises (@p369)) % 0.23/0.52 (step @p520 :rule symm :premises (@p516)) % 0.23/0.52 (step @p521 :rule symm :premises (@p515)) % 0.23/0.52 (step @p522 :rule cong :premises (@p30 @p326) :args (@t159)) % 0.23/0.52 (step @p523 :rule cong :premises (@p522 @p26) :args (@t160)) % 0.23/0.52 (step @p524 :rule trans :premises (@p523 @p521 @p520 @p519)) % 0.23/0.52 (step @p525 :rule cong :premises (@p26 @p524) :args (@t161)) % 0.23/0.52 (step @p526 :rule trans :premises (@p525 @p518 @p478 @p475 @p472 @p470 @p468)) % 0.23/0.52 (step @p527 :rule cong :premises (@p26 @p526) :args ((tptp.divide tptp.identity @t161))) % 0.23/0.52 (step @p528 :rule symm :premises (@p525)) % 0.23/0.52 (step @p529 :rule cong :premises (@p18 @p528) :args ((tptp.divide @t24 @t113))) % 0.23/0.52 (step @p530 :rule cong :premises (@p17 @p326) :args (@t132)) % 0.23/0.52 (step @p531 :rule trans :premises (@p455 @p454 @p453 @p416 @p530 @p529 @p527 @p467 @p457 @p452)) % 0.23/0.52 (step @p532 :rule cong :premises (@p26 @p286) :args (@t162)) % 0.23/0.52 (step @p533 :rule cong :premises (@p26 @p532) :args ((tptp.divide tptp.identity @t162))) % 0.23/0.52 (step @p534 :rule symm :premises (@p532)) % 0.23/0.52 (step @p535 :rule cong :premises (@p18 @p400) :args ((tptp.divide @t24 @t14))) % 0.23/0.52 (step @p536 :rule refl :args (@t14)) % 0.23/0.52 (step @p537 :rule cong :premises (@p17 @p536) :args (@t34)) % 0.23/0.52 (step @p538 :rule trans :premises (@p537 @p535)) % 0.23/0.52 (step @p539 :rule cong :premises (@p18 @p538) :args ((tptp.divide @t24 @t34))) % 0.23/0.52 (step @p540 :rule refl :args (@t34)) % 0.23/0.52 (step @p541 :rule cong :premises (@p17 @p540) :args (@t92)) % 0.23/0.52 (step @p542 :rule trans :premises (@p541 @p539 @p534)) % 0.23/0.52 (step @p543 :rule cong :premises (@p26 @p542) :args (@t93)) % 0.23/0.52 (step @p544 :rule symm :premises (@p274)) % 0.23/0.52 (step @p545 :rule symm :premises (@p273)) % 0.23/0.52 (step @p546 :rule trans :premises (@p407 @p397 @p545 @p544 @p543 @p533)) % 0.23/0.52 (step @p547 :rule symm :premises (@p408)) % 0.23/0.52 (step @p548 :rule trans :premises (@p244 @p547 @p546)) % 0.23/0.52 (step @p549 :rule cong :premises (@p548 @p531) :args ((tptp.divide @t96 @t18))) % 0.23/0.52 (step @p550 :rule trans :premises (@p341 @p549 @p451 @p432 @p430 @p429 @p329 @p428 @p427)) % 0.23/0.52 (step @p551 :rule cong :premises (@p550) :args (@t163)) % 0.23/0.52 (step @p552 :rule eq-symm :args (@t163 @t17)) % 0.23/0.52 (step @p553 :rule cong :premises (@p34 @p552) :args ((=> @t9 @t164))) % 0.23/0.52 (assume-push @p788 @t9) % 0.23/0.52 (step @p555 :rule instantiate :premises (@p3) :args ((@list @t16))) % 0.23/0.52 (step-pop @p789 :rule scope :premises (@p555)) % 0.23/0.52 (step @p556 :rule process_scope :premises (@p789) :args (@t164)) % 0.23/0.52 (step @p558 :rule eq_resolve :premises (@p556 @p553)) % 0.23/0.52 (step @p559 :rule implies_elim :premises (@p558)) % 0.23/0.52 (step @p560 :rule chain_m_resolution :premises (@p559 @p3) :args ((= @t17 @t163) @t30 @t31)) % 0.23/0.52 (step @p561 :rule instantiate :premises (@p2) :args ((@list tptp.identity @t13))) % 0.23/0.52 (step @p562 :rule cong :premises (@p30 @p319) :args ((tptp.divide @t23 @t109))) % 0.23/0.52 (step @p563 :rule cong :premises (@p336 @p331) :args (@t165)) % 0.23/0.52 (step @p564 :rule trans :premises (@p563 @p330)) % 0.23/0.52 (step @p565 :rule trans :premises (@p43 @p29)) % 0.23/0.52 (step @p566 :rule cong :premises (@p565 @p564) :args ((tptp.divide @t27 @t165))) % 0.23/0.52 (step @p567 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t114))) % 0.23/0.52 (step @p568 :rule trans :premises (@p567 @p566 @p562 @p321 @p318)) % 0.23/0.52 (step @p569 :rule cong :premises (@p26 @p568) :args ((tptp.multiply tptp.identity @t114))) % 0.23/0.52 (step @p570 :rule symm :premises (@p567)) % 0.23/0.52 (step @p571 :rule symm :premises (@p566)) % 0.23/0.52 (step @p572 :rule symm :premises (@p562)) % 0.23/0.52 (step @p573 :rule symm :premises (@p321)) % 0.23/0.52 (step @p574 :rule trans :premises (@p560 @p551 @p426 @p314 @p317 @p573 @p572 @p571 @p570)) % 0.23/0.52 (step @p575 :rule cong :premises (@p26 @p574) :args (@t166)) % 0.23/0.52 (step @p576 :rule eq-symm :args (@t166 @t167)) % 0.23/0.52 (step @p577 :rule cong :premises (@p459 @p576) :args ((=> @t7 @t168))) % 0.23/0.52 (assume-push @p790 @t7) % 0.23/0.52 (step @p579 :rule instantiate :premises (@p2) :args ((@list tptp.identity @t17))) % 0.23/0.52 (step-pop @p791 :rule scope :premises (@p579)) % 0.23/0.52 (step @p580 :rule process_scope :premises (@p791) :args (@t168)) % 0.23/0.52 (step @p582 :rule eq_resolve :premises (@p580 @p577)) % 0.23/0.52 (step @p583 :rule implies_elim :premises (@p582)) % 0.23/0.52 (step @p584 :rule chain_m_resolution :premises (@p583 @p2) :args ((= @t167 @t166) @t30 @t149)) % 0.23/0.52 (step @p585 :rule refl :args (@t118)) % 0.23/0.52 (step @p586 :rule cong :premises (@p30 @p585) :args ((tptp.divide @t23 @t118))) % 0.23/0.52 (step @p587 :rule cong :premises (@p29 @p378) :args (@t126)) % 0.23/0.52 (step @p588 :rule trans :premises (@p587 @p586 @p584 @p575 @p569 @p561 @p560 @p551 @p426 @p314)) % 0.23/0.52 (step @p589 :rule symm :premises (@p311)) % 0.23/0.52 (step @p590 :rule symm :premises (@p309)) % 0.23/0.52 (step @p591 :rule instantiate :premises (@p8) :args ((@list @t13 @t27 @t20))) % 0.23/0.52 (step @p592 :rule symm :premises (@p591)) % 0.23/0.52 (step @p593 :rule cong :premises (@p592 @p26) :args (@t173)) % 0.23/0.52 (step @p594 :rule cong :premises (@p26 @p593) :args (@t174)) % 0.23/0.52 (step @p595 :rule trans :premises (@p594 @p590 @p589)) % 0.23/0.52 (step @p596 :rule cong :premises (@p595 @p588) :args ((tptp.divide @t174 @t126))) % 0.23/0.52 (step @p597 :rule cong :premises (@p315 @p26) :args ((tptp.divide tptp.c3 tptp.identity))) % 0.23/0.52 (step @p598 :rule instantiate :premises (@p8) :args ((@list @t27 tptp.identity tptp.c3))) % 0.23/0.52 (step @p599 :rule symm :premises (@p598)) % 0.23/0.52 (step @p600 :rule refl :args (@t170)) % 0.23/0.52 (step @p601 :rule cong :premises (@p43 @p29) :args (@t175)) % 0.23/0.52 (step @p602 :rule trans :premises (@p601 @p42 @p32 @p31)) % 0.23/0.52 (step @p603 :rule cong :premises (@p26 @p602) :args (@t176)) % 0.23/0.52 (step @p604 :rule trans :premises (@p603 @p42 @p32 @p31 @p30)) % 0.23/0.52 (step @p605 :rule cong :premises (@p604 @p600) :args ((tptp.divide @t176 @t170))) % 0.23/0.52 (step @p606 :rule symm :premises (@p605)) % 0.23/0.52 (step @p607 :rule cong :premises (@p184 @p320) :args (@t177)) % 0.23/0.52 (step @p608 :rule cong :premises (@p26 @p607) :args ((tptp.divide tptp.identity @t177))) % 0.23/0.52 (step @p609 :rule trans :premises (@p608 @p606 @p599)) % 0.23/0.52 (step @p610 :rule symm :premises (@p608)) % 0.23/0.52 (step @p611 :rule trans :premises (@p610 @p609)) % 0.23/0.52 (step @p612 :rule cong :premises (@p611 @p26) :args (@t178)) % 0.23/0.52 (step @p613 :rule trans :premises (@p612 @p597)) % 0.23/0.52 (step @p614 :rule cong :premises (@p43 @p613) :args ((tptp.divide @t27 @t178))) % 0.23/0.52 (step @p615 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t170))) % 0.23/0.52 (step @p616 :rule instantiate :premises (@p8) :args ((@list @t169 tptp.identity @t170))) % 0.23/0.52 (step @p617 :rule symm :premises (@p616)) % 0.23/0.52 (step @p618 :rule refl :args (@t172)) % 0.23/0.52 (step @p619 :rule trans :premises (@p20 @p24)) % 0.23/0.52 (step @p620 :rule cong :premises (@p619 @p26) :args (@t179)) % 0.23/0.52 (step @p621 :rule cong :premises (@p26 @p620) :args (@t180)) % 0.23/0.52 (step @p622 :rule cong :premises (@p621 @p618) :args (@t181)) % 0.23/0.52 (step @p623 :rule trans :premises (@p622 @p617 @p615 @p614)) % 0.23/0.52 (step @p624 :rule refl :args (@t174)) % 0.23/0.52 (step @p625 :rule cong :premises (@p624 @p623) :args ((tptp.divide @t174 @t181))) % 0.23/0.52 (step @p626 :rule instantiate :premises (@p8) :args ((@list @t172 tptp.identity @t179))) % 0.23/0.52 (step @p627 :rule trans :premises (@p626 @p625 @p596 @p313 @p25 @p21)) % 0.23/0.52 (step @p628 :rule cong :premises (@p17 @p627) :args (@t180)) % 0.23/0.52 (step @p629 :rule instantiate :premises (@p8) :args ((@list @t182 tptp.identity @t179))) % 0.23/0.52 (step @p630 :rule symm :premises (@p629)) % 0.23/0.52 (step @p631 :rule instantiate :premises (@p8) :args ((@list @t10 tptp.identity tptp.identity))) % 0.23/0.52 (step @p632 :rule symm :premises (@p631)) % 0.23/0.52 (step @p633 :rule cong :premises (@p632 @p29) :args (@t184)) % 0.23/0.52 (step @p634 :rule trans :premises (@p633 @p42 @p32 @p31)) % 0.23/0.52 (step @p635 :rule cong :premises (@p26 @p634) :args (@t185)) % 0.23/0.52 (step @p636 :rule trans :premises (@p635 @p42 @p32 @p31 @p30)) % 0.23/0.52 (step @p637 :rule cong :premises (@p636 @p630) :args ((tptp.divide @t185 (tptp.divide (tptp.divide tptp.identity @t186) @t183)))) % 0.23/0.52 (step @p638 :rule instantiate :premises (@p8) :args ((@list @t183 tptp.identity @t186))) % 0.23/0.52 (step @p639 :rule cong :premises (@p29 @p16) :args (@t12)) % 0.23/0.52 (step @p640 :rule symm :premises (@p621)) % 0.23/0.52 (step @p641 :rule trans :premises (@p640 @p628 @p19)) % 0.23/0.52 (step @p642 :rule refl :args (@t179)) % 0.23/0.52 (step @p643 :rule cong :premises (@p30 @p642) :args (@t187)) % 0.23/0.52 (step @p644 :rule trans :premises (@p643 @p621 @p641 @p639)) % 0.23/0.52 (step @p645 :rule cong :premises (@p644 @p26) :args ((tptp.divide @t187 tptp.identity))) % 0.23/0.52 (step @p646 :rule symm :premises (@p643)) % 0.23/0.52 (step @p647 :rule symm :premises (@p641)) % 0.23/0.52 (step @p648 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a3 @t12))) % 0.23/0.52 (step @p649 :rule symm :premises (@p648)) % 0.23/0.52 (step @p650 :rule trans :premises (@p649 @p647 @p640 @p646)) % 0.23/0.52 (step @p651 :rule cong :premises (@p650 @p26) :args (@t190)) % 0.23/0.52 (step @p652 :rule trans :premises (@p651 @p645 @p638 @p637 @p628 @p19)) % 0.23/0.52 (step @p653 :rule symm :premises (@p522)) % 0.23/0.52 (step @p654 :rule symm :premises (@p530)) % 0.23/0.52 (step @p655 :rule symm :premises (@p529)) % 0.23/0.52 (step @p656 :rule symm :premises (@p527)) % 0.23/0.52 (step @p462 :rule instantiate :premises (@p2) :args (@t148)) % 0.23/0.52 (step @p657 :rule symm :premises (@p457)) % 0.23/0.52 (step @p658 :rule eq-symm :args (@t191 @t141)) % 0.23/0.52 (step @p659 :rule cong :premises (@p459 @p658) :args ((=> @t7 @t192))) % 0.23/0.52 (assume-push @p792 @t7) % 0.23/0.52 (step-pop @p793 :rule scope :premises (@p452)) % 0.23/0.52 (step @p661 :rule process_scope :premises (@p793) :args (@t192)) % 0.23/0.52 (step @p663 :rule eq_resolve :premises (@p661 @p659)) % 0.23/0.52 (step @p664 :rule implies_elim :premises (@p663)) % 0.23/0.52 (step @p665 :rule chain_m_resolution :premises (@p664 @p2) :args ((= @t141 @t191) @t30 @t149)) % 0.23/0.52 (step @p666 :rule symm :premises (@p448)) % 0.23/0.52 (step @p667 :rule symm :premises (@p447)) % 0.23/0.52 (step @p668 :rule trans :premises (@p433 @p667 @p666 @p665 @p657 @p462 @p656 @p655 @p654 @p653)) % 0.23/0.52 (step @p669 :rule instantiate :premises (@p2) :args ((@list tptp.identity @t113))) % 0.23/0.52 (step @p670 :rule symm :premises (@p518)) % 0.23/0.52 (step @p671 :rule trans :premises (@p471 @p486 @p485 @p670)) % 0.23/0.52 (step @p672 :rule cong :premises (@p26 @p671) :args (@t193)) % 0.23/0.52 (step @p673 :rule eq-symm :args (@t193 @t142)) % 0.23/0.52 (step @p674 :rule cong :premises (@p459 @p673) :args ((=> @t7 @t194))) % 0.23/0.52 (assume-push @p794 @t7) % 0.23/0.52 (step @p676 :rule instantiate :premises (@p2) :args ((@list tptp.identity @t133))) % 0.23/0.52 (step-pop @p795 :rule scope :premises (@p676)) % 0.23/0.52 (step @p677 :rule process_scope :premises (@p795) :args (@t194)) % 0.23/0.52 (step @p679 :rule eq_resolve :premises (@p677 @p674)) % 0.23/0.52 (step @p680 :rule implies_elim :premises (@p679)) % 0.23/0.52 (step @p681 :rule chain_m_resolution :premises (@p680 @p2) :args ((= @t142 @t193) @t30 @t149)) % 0.23/0.52 (step @p682 :rule refl :args (@t141)) % 0.23/0.52 (step @p683 :rule cong :premises (@p30 @p682) :args ((tptp.divide @t23 @t141))) % 0.23/0.52 (step @p684 :rule cong :premises (@p29 @p473) :args (@t124)) % 0.23/0.52 (step @p685 :rule trans :premises (@p467 @p457 @p452 @p448 @p447 @p434)) % 0.23/0.52 (step @p686 :rule cong :premises (@p26 @p685) :args (@t195)) % 0.23/0.52 (step @p687 :rule trans :premises (@p686 @p684 @p683 @p681 @p672 @p669 @p470 @p468)) % 0.23/0.52 (step @p688 :rule cong :premises (@p26 @p687) :args (@t196)) % 0.23/0.52 (step @p689 :rule trans :premises (@p688 @p467 @p457 @p452 @p448 @p447 @p434)) % 0.23/0.52 (step @p690 :rule trans :premises (@p689 @p668 @p522 @p469 @p13)) % 0.23/0.52 (step @p691 :rule cong :premises (@p690 @p652) :args (@t197)) % 0.23/0.52 (step @p692 :rule trans :premises (@p691 @p15 @p11)) % 0.23/0.52 (step @p693 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.c3))) % 0.23/0.52 (step @p694 :rule symm :premises (@p693)) % 0.23/0.52 (step @p695 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t67))) % 0.23/0.52 (step @p696 :rule symm :premises (@p695)) % 0.23/0.52 (step @p697 :rule cong :premises (@p45 @p26) :args (@t198)) % 0.23/0.52 (step @p698 :rule cong :premises (@p320 @p697) :args (@t199)) % 0.23/0.52 (step @p699 :rule trans :premises (@p698 @p696)) % 0.23/0.52 (step @p700 :rule cong :premises (@p277 @p699) :args ((tptp.divide @t93 @t199))) % 0.23/0.52 (step @p701 :rule symm :premises (@p698)) % 0.23/0.52 (step @p702 :rule refl :args (@t169)) % 0.23/0.52 (step @p703 :rule trans :premises (@p432 @p316 @p598 @p605 @p610)) % 0.23/0.52 (step @p704 :rule trans :premises (@p703 @p608)) % 0.23/0.52 (step @p705 :rule cong :premises (@p704 @p702) :args ((tptp.divide (tptp.divide @t143 @t123) @t169))) % 0.23/0.52 (step @p706 :rule symm :premises (@p620)) % 0.23/0.52 (step @p707 :rule instantiate :premises (@p8) :args ((@list @t17 tptp.identity @t10))) % 0.23/0.52 (step @p708 :rule symm :premises (@p707)) % 0.23/0.52 (step @p709 :rule trans :premises (@p708 @p619)) % 0.23/0.52 (step @p710 :rule cong :premises (@p709 @p26) :args (@t201)) % 0.23/0.52 (step @p711 :rule trans :premises (@p710 @p706 @p626 @p625 @p596 @p313)) % 0.23/0.52 (step @p712 :rule symm :premises (@p703)) % 0.23/0.52 (step @p713 :rule trans :premises (@p341 @p549 @p451 @p432 @p316 @p598 @p605 @p610)) % 0.23/0.52 (step @p714 :rule instantiate :premises (@p2) :args ((@list tptp.identity tptp.c3))) % 0.23/0.52 (step @p715 :rule trans :premises (@p328 @p327 @p316)) % 0.23/0.52 (step @p716 :rule cong :premises (@p26 @p715) :args ((tptp.multiply tptp.identity @t109))) % 0.23/0.52 (step @p717 :rule trans :premises (@p341 @p549 @p451 @p432 @p430 @p429)) % 0.23/0.52 (step @p718 :rule cong :premises (@p26 @p717) :args (@t202)) % 0.23/0.52 (step @p719 :rule eq-symm :args (@t202 @t118)) % 0.23/0.52 (step @p720 :rule cong :premises (@p459 @p719) :args ((=> @t7 @t203))) % 0.23/0.52 (assume-push @p796 @t7) % 0.23/0.52 (step @p722 :rule instantiate :premises (@p2) :args ((@list tptp.identity @t16))) % 0.23/0.52 (step-pop @p797 :rule scope :premises (@p722)) % 0.23/0.52 (step @p723 :rule process_scope :premises (@p797) :args (@t203)) % 0.23/0.52 (step @p725 :rule eq_resolve :premises (@p723 @p720)) % 0.23/0.52 (step @p726 :rule implies_elim :premises (@p725)) % 0.23/0.52 (step @p727 :rule chain_m_resolution :premises (@p726 @p2) :args ((= @t118 @t202) @t30 @t149)) % 0.23/0.52 (step @p728 :rule trans :premises (@p377 @p376 @p364 @p727 @p718 @p716 @p714)) % 0.23/0.52 (step @p729 :rule trans :premises (@p728 @p713 @p712)) % 0.23/0.52 (step @p730 :rule cong :premises (@p729 @p711) :args ((tptp.divide @t125 @t201))) % 0.23/0.52 (step @p731 :rule refl :args (@t201)) % 0.23/0.52 (step @p732 :rule symm :premises (@p377)) % 0.23/0.52 (step @p733 :rule symm :premises (@p376)) % 0.23/0.52 (step @p734 :rule symm :premises (@p339)) % 0.23/0.52 (step @p735 :rule symm :premises (@p338)) % 0.23/0.52 (step @p736 :rule trans :premises (@p735 @p734)) % 0.23/0.52 (step @p737 :rule cong :premises (@p26 @p736) :args (@t204)) % 0.23/0.52 (step @p738 :rule cong :premises (@p26 @p737) :args (@t205)) % 0.23/0.52 (step @p739 :rule trans :premises (@p738 @p363 @p733 @p732)) % 0.23/0.52 (step @p740 :rule cong :premises (@p739 @p731) :args ((tptp.divide @t205 @t201))) % 0.23/0.52 (step @p741 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t115 @t200))) % 0.23/0.52 (step @p742 :rule cong :premises (@p649 @p343) :args (@t206)) % 0.23/0.52 (step @p743 :rule trans :premises (@p742 @p741 @p740 @p730 @p705 @p592 @p28 @p695 @p701)) % 0.23/0.52 (step @p744 :rule refl :args (@t92)) % 0.23/0.52 (step @p745 :rule cong :premises (@p30 @p744) :args ((tptp.divide @t23 @t92))) % 0.23/0.52 (step @p746 :rule symm :premises (@p745)) % 0.23/0.52 (step @p747 :rule trans :premises (@p545 @p544 @p746)) % 0.23/0.52 (step @p748 :rule symm :premises (@p404)) % 0.23/0.52 (step @p749 :rule symm :premises (@p401)) % 0.23/0.52 (step @p750 :rule symm :premises (@p399)) % 0.23/0.52 (step @p751 :rule symm :premises (@p398)) % 0.23/0.52 (step @p752 :rule instantiate :premises (@p8) :args ((@list @t128 tptp.identity @t95))) % 0.23/0.52 (step @p753 :rule symm :premises (@p752)) % 0.23/0.52 (step @p754 :rule refl :args (@t128)) % 0.23/0.52 (step @p755 :rule symm :premises (@p441)) % 0.23/0.52 (step @p756 :rule cong :premises (@p755 @p754) :args ((tptp.divide (tptp.divide tptp.identity (tptp.divide @t127 tptp.identity)) @t128))) % 0.23/0.52 (step @p757 :rule trans :premises (@p467 @p457 @p452 @p448 @p447 @p756)) % 0.23/0.52 (step @p758 :rule symm :premises (@p378)) % 0.23/0.52 (step @p759 :rule trans :premises (@p758 @p377)) % 0.23/0.52 (step @p760 :rule cong :premises (@p759 @p26) :args (@t131)) % 0.23/0.52 (step @p761 :rule trans :premises (@p379 @p760)) % 0.23/0.52 (step @p762 :rule cong :premises (@p26 @p761) :args (@t130)) % 0.23/0.52 (step @p763 :rule trans :premises (@p382 @p762)) % 0.23/0.52 (step @p764 :rule symm :premises (@p383)) % 0.23/0.52 (step @p765 :rule trans :premises (@p764 @p763)) % 0.23/0.52 (step @p766 :rule cong :premises (@p765 @p757) :args (@t207)) % 0.23/0.52 (step @p767 :rule trans :premises (@p766 @p753 @p243 @p751 @p750 @p749 @p402 @p748 @p187 @p169)) % 0.23/0.52 (step @p768 :rule cong :premises (@p26 @p767) :args (@t208)) % 0.23/0.52 (step @p769 :rule trans :premises (@p768 @p408 @p395 @p747 @p745)) % 0.23/0.52 (step @p770 :rule cong :premises (@p769 @p743) :args ((tptp.divide @t208 @t206))) % 0.23/0.52 (step @p771 :rule instantiate :premises (@p8) :args ((@list @t17 @t146 @t188))) % 0.23/0.52 (step @p772 :rule trans :premises (@p771 @p770 @p700 @p238 @p80 @p694)) % 0.23/0.52 (step @p773 :rule cong :premises (@p772 @p692) :args (@t209)) % 0.23/0.52 (step @p774 :rule trans :premises (@p773 @p9)) % 0.23/0.52 (step @p775 :rule false_elim :premises (@p774)) % 0.23/0.52 (assume-push @p798 @t210) % 0.23/0.52 (step @p777 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t146 @t188))) % 0.23/0.52 (step-pop @p799 :rule scope :premises (@p777)) % 0.23/0.52 (step @p778 :rule process_scope :premises (@p799) :args (@t209)) % 0.23/0.52 (step @p780 :rule implies_elim :premises (@p778)) % 0.23/0.52 (step @p781 false :rule chain_m_resolution :premises (@p780 @p775 @p8) :args (false (@list true false) (@list @t209 @t210))) % 0.23/0.52 ) % 0.23/0.52 % SZS output end Proof % 0.23/0.52 % cvc5 exiting %------------------------------------------------------------------------------