%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP067-1 : TPTP v9.2.1. Bugfixed v2.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:19:43 AM UTC 2026 % Result : Unsatisfiable 157.97s 158.40s % Output : Proof 158.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GRP067-1 : TPTP v9.2.1. Bugfixed v2.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n025.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 00:44:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.82/16.03 --- Run --no-e-matching --full-saturate-quant at 6... % 21.81/22.06 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.82/28.08 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.91/34.15 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.94/64.28 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.03/79.31 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.11/112.41 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.22/127.50 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.27/157.61 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 157.97/158.40 % SZS status Unsatisfiable % 157.97/158.40 % SZS output start Proof % 158.07/158.41 ( % 158.07/158.41 (declare-sort $$unsorted 0) % 158.07/158.41 (declare-const tptp.a1 $$unsorted) % 158.07/158.41 (declare-const tptp.b3 $$unsorted) % 158.07/158.41 (declare-const tptp.c3 $$unsorted) % 158.07/158.41 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 158.07/158.41 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 158.07/158.41 (declare-const tptp.a2 $$unsorted) % 158.07/158.41 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 158.07/158.41 (declare-const tptp.a3 $$unsorted) % 158.07/158.41 (declare-const tptp.identity $$unsorted) % 158.07/158.41 (define @t1 () (@var "Y" $$unsorted)) % 158.07/158.41 (define @t2 () (@var "Z" $$unsorted)) % 158.07/158.41 (define @t3 () (@var "X" $$unsorted)) % 158.07/158.41 (define @t4 () (tptp.divide tptp.identity @t3)) % 158.07/158.41 (define @t5 () (tptp.divide @t3 @t3)) % 158.07/158.41 (define @t6 () (tptp.divide (tptp.divide @t5 (tptp.divide @t3 (tptp.divide @t1 (tptp.divide @t4 @t2)))) @t2)) % 158.07/158.41 (define @t7 () (@list @t3 @t1 @t2)) % 158.07/158.41 (define @t8 () (forall @t7 (= @t6 @t1))) % 158.07/158.41 (define @t9 () (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide tptp.identity @t1))))) % 158.07/158.41 (define @t10 () (tptp.inverse @t3)) % 158.07/158.41 (define @t11 () (@list @t3)) % 158.07/158.41 (define @t12 () (forall @t11 (= @t10 @t4))) % 158.07/158.41 (define @t13 () (tptp.multiply tptp.b3 tptp.c3)) % 158.07/158.41 (define @t14 () (tptp.multiply tptp.a3 tptp.b3)) % 158.07/158.41 (define @t15 () (not (= (tptp.multiply @t14 tptp.c3) (tptp.multiply tptp.a3 @t13)))) % 158.07/158.41 (define @t16 () (tptp.multiply tptp.identity tptp.a2)) % 158.07/158.41 (define @t17 () (not (= @t16 tptp.a2))) % 158.07/158.41 (define @t18 () (tptp.inverse tptp.a1)) % 158.07/158.41 (define @t19 () (tptp.multiply @t18 tptp.a1)) % 158.07/158.41 (define @t20 () (not (= @t19 tptp.identity))) % 158.07/158.41 (define @t21 () (or @t20 @t17 @t15)) % 158.07/158.41 (define @t22 () (tptp.divide tptp.identity tptp.a2)) % 158.07/158.41 (define @t23 () (tptp.divide tptp.identity tptp.identity)) % 158.07/158.41 (define @t24 () (tptp.divide @t23 tptp.a2)) % 158.07/158.41 (define @t25 () (tptp.divide @t23 @t22)) % 158.07/158.41 (define @t26 () (tptp.divide @t23 (tptp.divide tptp.identity (tptp.divide tptp.identity @t25)))) % 158.07/158.41 (define @t27 () (tptp.divide @t26 @t24)) % 158.07/158.41 (define @t28 () (tptp.divide tptp.identity @t22)) % 158.07/158.41 (define @t29 () (tptp.divide tptp.identity @t24)) % 158.07/158.41 (define @t30 () (tptp.divide tptp.identity @t29)) % 158.07/158.41 (define @t31 () (tptp.divide @t23 @t29)) % 158.07/158.41 (define @t32 () (tptp.divide @t23 @t31)) % 158.07/158.41 (define @t33 () (tptp.divide tptp.identity @t32)) % 158.07/158.41 (define @t34 () (tptp.divide tptp.identity @t27)) % 158.07/158.41 (define @t35 () (tptp.divide @t23 @t34)) % 158.07/158.41 (define @t36 () (tptp.divide @t23 @t32)) % 158.07/158.41 (define @t37 () (tptp.divide tptp.identity @t36)) % 158.07/158.41 (define @t38 () (tptp.divide tptp.identity @t37)) % 158.07/158.41 (define @t39 () (tptp.divide @t23 @t38)) % 158.07/158.41 (define @t40 () (tptp.divide tptp.identity @t39)) % 158.07/158.41 (define @t41 () (tptp.divide @t40 @t22)) % 158.07/158.41 (define @t42 () (tptp.divide @t23 (tptp.divide tptp.identity (tptp.divide tptp.a2 (tptp.divide @t23 tptp.identity))))) % 158.07/158.41 (define @t43 () (tptp.divide @t42 @t41)) % 158.07/158.41 (define @t44 () (tptp.divide @t22 @t22)) % 158.07/158.41 (define @t45 () (tptp.divide @t42 @t44)) % 158.07/158.41 (define @t46 () (tptp.divide tptp.a2 @t45)) % 158.07/158.41 (define @t47 () (tptp.divide (tptp.divide tptp.a2 tptp.a2) @t46)) % 158.07/158.41 (define @t48 () (tptp.divide @t23 @t33)) % 158.07/158.41 (define @t49 () (tptp.divide @t48 @t25)) % 158.07/158.41 (define @t50 () (tptp.divide tptp.identity @t49)) % 158.07/158.41 (define @t51 () (tptp.divide @t23 @t50)) % 158.07/158.41 (define @t52 () (tptp.divide tptp.identity tptp.a1)) % 158.07/158.41 (define @t53 () (forall @t11 (= @t4 @t10))) % 158.07/158.41 (define @t54 () (= @t52 @t18)) % 158.07/158.41 (define @t55 () (@list false)) % 158.07/158.41 (define @t56 () (= tptp.a2 @t16)) % 158.07/158.41 (define @t57 () (= tptp.identity @t19)) % 158.07/158.41 (define @t58 () (tptp.divide tptp.identity @t13)) % 158.07/158.41 (define @t59 () (tptp.divide tptp.a3 (tptp.divide @t23 tptp.b3))) % 158.07/158.41 (define @t60 () (tptp.divide tptp.identity @t59)) % 158.07/158.41 (define @t61 () (tptp.divide @t23 tptp.c3)) % 158.07/158.41 (define @t62 () (tptp.divide tptp.b3 @t61)) % 158.07/158.41 (define @t63 () (tptp.divide tptp.identity @t62)) % 158.07/158.41 (define @t64 () (tptp.divide tptp.identity @t63)) % 158.07/158.41 (define @t65 () (tptp.divide @t64 tptp.c3)) % 158.07/158.41 (define @t66 () (tptp.divide @t23 @t60)) % 158.07/158.41 (define @t67 () (tptp.divide @t66 @t65)) % 158.07/158.41 (define @t68 () (tptp.divide @t63 @t63)) % 158.07/158.41 (define @t69 () (tptp.divide @t13 (tptp.divide @t68 (tptp.divide @t58 @t67)))) % 158.07/158.41 (define @t70 () (tptp.divide (tptp.divide @t13 @t13) @t69)) % 158.07/158.41 (define @t71 () (tptp.divide tptp.identity @t60)) % 158.07/158.41 (define @t72 () (tptp.divide @t71 tptp.b3)) % 158.07/158.41 (define @t73 () (tptp.divide @t70 @t72)) % 158.07/158.41 (define @t74 () (tptp.divide @t60 @t73)) % 158.07/158.41 (define @t75 () (tptp.divide @t60 @t60)) % 158.07/158.41 (define @t76 () (tptp.divide @t75 @t74)) % 158.07/158.41 (define @t77 () (tptp.divide @t63 @t67)) % 158.07/158.41 (define @t78 () (tptp.divide tptp.identity @t77)) % 158.07/158.41 (define @t79 () (tptp.divide @t23 @t13)) % 158.07/158.41 (define @t80 () (tptp.divide @t23 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide @t23 @t63))))) % 158.07/158.41 (define @t81 () (tptp.divide @t80 @t79)) % 158.07/158.41 (define @t82 () (tptp.divide tptp.identity @t81)) % 158.07/158.41 (define @t83 () (tptp.divide @t23 @t82)) % 158.07/158.41 (define @t84 () (tptp.divide @t23 @t79)) % 158.07/158.41 (define @t85 () (tptp.divide tptp.identity @t84)) % 158.07/158.41 (define @t86 () (tptp.divide @t23 @t84)) % 158.07/158.41 (define @t87 () (tptp.divide @t23 @t86)) % 158.07/158.41 (define @t88 () (tptp.divide tptp.identity @t87)) % 158.07/158.41 (define @t89 () (tptp.divide @t88 @t67)) % 158.07/158.41 (define @t90 () (tptp.divide @t68 @t89)) % 158.07/158.41 (define @t91 () (tptp.divide tptp.identity tptp.a3)) % 158.07/158.41 (define @t92 () (tptp.divide @t23 @t69)) % 158.07/158.41 (define @t93 () (tptp.divide @t87 @t90)) % 158.07/158.41 (define @t94 () (tptp.divide @t87 @t87)) % 158.07/158.41 (define @t95 () (tptp.divide @t94 @t93)) % 158.07/158.41 (define @t96 () (tptp.divide @t95 @t92)) % 158.07/158.41 (define @t97 () (tptp.divide tptp.identity @t96)) % 158.07/158.41 (define @t98 () (tptp.divide @t23 @t97)) % 158.07/158.41 (define @t99 () (tptp.divide @t87 (tptp.divide @t23 @t77))) % 158.07/158.41 (define @t100 () (tptp.divide @t23 @t85)) % 158.07/158.41 (define @t101 () (tptp.divide @t23 @t87)) % 158.07/158.41 (define @t102 () (tptp.divide @t23 @t101)) % 158.07/158.41 (define @t103 () (tptp.divide tptp.identity @t102)) % 158.07/158.41 (define @t104 () (tptp.divide @t23 @t103)) % 158.07/158.41 (define @t105 () (tptp.divide tptp.identity @t99)) % 158.07/158.41 (define @t106 () (tptp.divide @t23 @t105)) % 158.07/158.41 (define @t107 () (tptp.divide tptp.a3 @t79)) % 158.07/158.41 (define @t108 () (tptp.divide tptp.identity @t107)) % 158.07/158.41 (define @t109 () (tptp.divide tptp.identity @t108)) % 158.07/158.41 (define @t110 () (tptp.divide @t23 @t107)) % 158.07/158.41 (define @t111 () (tptp.divide @t23 (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide @t23 @t108))))) % 158.07/158.41 (define @t112 () (tptp.divide @t111 @t110)) % 158.07/158.41 (define @t113 () (tptp.divide tptp.identity @t112)) % 158.07/158.41 (define @t114 () (tptp.divide @t23 @t113)) % 158.07/158.41 (define @t115 () (tptp.divide tptp.identity @t111)) % 158.07/158.41 (define @t116 () (tptp.divide @t115 @t13)) % 158.07/158.41 (define @t117 () (tptp.divide @t23 (tptp.divide tptp.identity (tptp.divide @t108 (tptp.divide @t23 tptp.a3))))) % 158.07/158.41 (define @t118 () (tptp.divide @t117 @t116)) % 158.07/158.41 (define @t119 () (tptp.divide @t111 @t118)) % 158.07/158.41 (define @t120 () (tptp.divide @t111 @t111)) % 158.07/158.41 (define @t121 () (tptp.divide @t120 @t119)) % 158.07/158.41 (define @t122 () (tptp.divide @t23 @t110)) % 158.07/158.41 (define @t123 () (tptp.divide @t94 (tptp.divide @t87 (tptp.divide @t77 @t89)))) % 158.07/158.41 (define @t124 () (tptp.divide @t63 @t72)) % 158.07/158.41 (define @t125 () (tptp.divide @t14 @t61)) % 158.07/158.41 (define @t126 () (tptp.divide tptp.identity @t125)) % 158.07/158.41 (define @t127 () (tptp.divide tptp.identity @t126)) % 158.07/158.41 (define @t128 () (tptp.divide @t127 tptp.c3)) % 158.07/158.41 (define @t129 () (tptp.divide tptp.identity @t128)) % 158.07/158.41 (define @t130 () (tptp.divide @t126 @t129)) % 158.07/158.41 (define @t131 () (tptp.divide @t126 @t126)) % 158.07/158.41 (define @t132 () (tptp.divide @t125 (tptp.divide @t131 @t130))) % 158.07/158.41 (define @t133 () (tptp.divide tptp.identity @t104)) % 158.07/158.41 (define @t134 () (tptp.divide @t133 @t67)) % 158.07/158.41 (define @t135 () (tptp.divide tptp.identity @t132)) % 158.07/158.41 (define @t136 () (tptp.divide (tptp.divide @t132 @t132) (tptp.divide @t132 (tptp.divide @t75 (tptp.divide @t135 @t124))))) % 158.07/158.41 (define @t137 () (tptp.divide @t136 @t134)) % 158.07/158.41 (define @t138 () (tptp.divide @t104 @t137)) % 158.07/158.41 (define @t139 () (tptp.divide @t104 @t104)) % 158.07/158.41 (define @t140 () (tptp.divide @t139 @t138)) % 158.07/158.41 (define @t141 () (tptp.divide @t125 @t125)) % 158.07/158.41 (define @t142 () (tptp.divide @t141 @t132)) % 158.07/158.41 (define @t143 () (tptp.divide tptp.identity tptp.b3)) % 158.07/158.41 (define @t144 () (tptp.divide @t60 @t124)) % 158.07/158.41 (define @t145 () (tptp.divide @t75 @t144)) % 158.07/158.41 (define @t146 () (tptp.divide tptp.identity tptp.c3)) % 158.07/158.41 (define @t147 () (tptp.divide tptp.identity @t130)) % 158.07/158.41 (define @t148 () (tptp.divide @t23 @t130)) % 158.07/158.41 (define @t149 () (tptp.divide @t23 @t59)) % 158.07/158.41 (define @t150 () (tptp.divide @t23 @t149)) % 158.07/158.41 (define @t151 () (tptp.divide tptp.identity @t150)) % 158.07/158.41 (define @t152 () (tptp.divide @t23 @t151)) % 158.07/158.41 (define @t153 () (tptp.divide @t59 @t128)) % 158.07/158.41 (define @t154 () (tptp.divide @t126 @t153)) % 158.07/158.41 (define @t155 () (tptp.divide @t131 @t154)) % 158.07/158.41 (define @t156 () (tptp.divide @t23 (tptp.divide @t23 @t125))) % 158.07/158.41 (define @t157 () (tptp.divide tptp.identity @t156)) % 158.07/158.41 (define @t158 () (tptp.divide @t23 @t157)) % 158.07/158.41 (define @t159 () (tptp.divide @t158 (tptp.divide (tptp.divide tptp.identity @t151) @t146))) % 158.07/158.41 (define @t160 () (tptp.divide @t151 @t159)) % 158.07/158.41 (define @t161 () (tptp.divide @t151 @t151)) % 158.07/158.41 (define @t162 () (tptp.divide @t161 @t160)) % 158.07/158.41 (define @t163 () (tptp.divide @t23 @t150)) % 158.07/158.41 (define @t164 () (tptp.divide @t23 @t163)) % 158.07/158.41 (define @t165 () (tptp.divide tptp.identity (tptp.divide @t126 @t149))) % 158.07/158.41 (define @t166 () (tptp.divide @t23 @t165)) % 158.07/158.41 (define @t167 () (tptp.divide @t23 @t156)) % 158.07/158.41 (define @t168 () (tptp.divide @t23 @t167)) % 158.07/158.41 (define @t169 () (tptp.divide tptp.identity @t168)) % 158.07/158.41 (define @t170 () (tptp.divide @t23 @t169)) % 158.07/158.41 (define @t171 () (tptp.divide @t23 @t126)) % 158.07/158.41 (define @t172 () (tptp.divide @t170 @t171)) % 158.07/158.41 (define @t173 () (tptp.divide tptp.identity @t172)) % 158.07/158.41 (define @t174 () (tptp.divide @t23 @t173)) % 158.07/158.41 (define @t175 () (tptp.divide @t170 @t148)) % 158.07/158.41 (define @t176 () (tptp.divide tptp.identity @t175)) % 158.07/158.41 (define @t177 () (tptp.divide @t23 @t176)) % 158.07/158.41 (define @t178 () (tptp.divide @t23 (tptp.divide tptp.identity (tptp.divide @t14 @t166)))) % 158.07/158.41 (define @t179 () (tptp.divide tptp.identity @t171)) % 158.07/158.41 (define @t180 () (tptp.divide tptp.identity @t179)) % 158.07/158.41 (define @t181 () (tptp.divide @t23 @t180)) % 158.07/158.41 (define @t182 () (tptp.multiply @t23 @t122)) % 158.07/158.41 (define @t183 () (tptp.divide @t23 (tptp.divide tptp.identity @t122))) % 158.07/158.41 (define @t184 () (= @t182 @t183)) % 158.07/158.41 (define @t185 () (@list @t23 @t122)) % 158.07/158.41 (define @t186 () (@list @t9)) % 158.07/158.41 (define @t187 () (tptp.divide tptp.identity @t131)) % 158.07/158.41 (define @t188 () (tptp.multiply @t23 @t125)) % 158.07/158.41 (define @t189 () (= @t188 @t171)) % 158.07/158.41 (define @t190 () (tptp.divide @t125 @t187)) % 158.07/158.41 (define @t191 () (tptp.divide @t141 @t190)) % 158.07/158.41 (define @t192 () (tptp.divide tptp.identity @t100)) % 158.07/158.41 (define @t193 () (tptp.divide @t192 @t58)) % 158.07/158.41 (define @t194 () (tptp.divide @t125 @t193)) % 158.07/158.41 (define @t195 () (tptp.divide @t100 @t194)) % 158.07/158.41 (define @t196 () (tptp.divide @t100 @t100)) % 158.07/158.41 (define @t197 () (tptp.divide @t196 @t195)) % 158.07/158.41 (define @t198 () (tptp.divide @t197 @t58)) % 158.07/158.41 (define @t199 () (= @t125 @t198)) % 158.07/158.41 (define @t200 () (forall @t7 (= @t1 @t6))) % 158.07/158.41 (assume @p1 @t8) % 158.07/158.41 (assume @p2 @t9) % 158.07/158.41 (assume @p3 @t12) % 158.07/158.41 (assume @p4 (forall @t11 (= tptp.identity @t5))) % 158.07/158.41 (assume @p5 @t21) % 158.07/158.41 (step @p6 :rule eq-symm :args (@t6 @t1)) % 158.07/158.41 (step @p7 :rule cong :premises (@p6) :args (@t8)) % 158.07/158.41 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 158.07/158.41 (step @p9 :rule instantiate :premises (@p2) :args ((@list tptp.identity tptp.a2))) % 158.07/158.41 (step @p10 :rule symm :premises (@p9)) % 158.07/158.41 (step @p11 :rule refl :args (@t22)) % 158.07/158.41 (step @p12 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 158.07/158.41 (step @p13 :rule symm :premises (@p12)) % 158.07/158.41 (step @p14 :rule instantiate :premises (@p4) :args ((@list tptp.a2))) % 158.07/158.41 (step @p15 :rule symm :premises (@p14)) % 158.07/158.41 (step @p16 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a2 tptp.identity))) % 158.07/158.41 (step @p17 :rule symm :premises (@p16)) % 158.07/158.41 (step @p18 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t22))) % 158.07/158.41 (step @p19 :rule symm :premises (@p18)) % 158.07/158.41 (step @p20 :rule refl :args (tptp.a2)) % 158.07/158.41 (step @p21 :rule cong :premises (@p13 @p20) :args (@t24)) % 158.07/158.41 (step @p22 :rule refl :args (@t26)) % 158.07/158.41 (step @p23 :rule cong :premises (@p22 @p21) :args (@t27)) % 158.07/158.41 (step @p24 :rule symm :premises (@p21)) % 158.07/158.41 (step @p25 :rule cong :premises (@p12 @p11) :args (@t28)) % 158.07/158.41 (step @p26 :rule refl :args (tptp.identity)) % 158.07/158.41 (step @p27 :rule cong :premises (@p26 @p21) :args (@t29)) % 158.07/158.41 (step @p28 :rule trans :premises (@p27 @p25)) % 158.07/158.41 (step @p29 :rule cong :premises (@p26 @p28) :args (@t30)) % 158.07/158.41 (step @p30 :rule cong :premises (@p26 @p29) :args ((tptp.divide tptp.identity @t30))) % 158.07/158.41 (step @p31 :rule refl :args (@t29)) % 158.07/158.41 (step @p32 :rule cong :premises (@p13 @p31) :args (@t31)) % 158.07/158.41 (step @p33 :rule cong :premises (@p13 @p32) :args (@t32)) % 158.07/158.41 (step @p34 :rule trans :premises (@p33 @p30)) % 158.07/158.41 (step @p35 :rule cong :premises (@p12 @p34) :args (@t33)) % 158.07/158.41 (step @p36 :rule symm :premises (@p33)) % 158.07/158.41 (step @p37 :rule symm :premises (@p27)) % 158.07/158.41 (step @p38 :rule trans :premises (@p23 @p19)) % 158.07/158.41 (step @p39 :rule cong :premises (@p26 @p38) :args (@t34)) % 158.07/158.41 (step @p40 :rule trans :premises (@p39 @p13)) % 158.07/158.41 (step @p41 :rule cong :premises (@p13 @p40) :args (@t35)) % 158.07/158.41 (step @p42 :rule trans :premises (@p41 @p13)) % 158.07/158.41 (step @p43 :rule cong :premises (@p42 @p20) :args ((tptp.divide @t35 tptp.a2))) % 158.07/158.41 (step @p44 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t26 tptp.a2))) % 158.07/158.41 (step @p45 :rule refl :args (@t32)) % 158.07/158.41 (step @p46 :rule cong :premises (@p13 @p45) :args (@t36)) % 158.07/158.41 (step @p47 :rule trans :premises (@p46 @p35 @p44 @p43)) % 158.07/158.41 (step @p48 :rule cong :premises (@p26 @p47) :args (@t37)) % 158.07/158.41 (step @p49 :rule trans :premises (@p48 @p37)) % 158.07/158.41 (step @p50 :rule cong :premises (@p26 @p49) :args (@t38)) % 158.07/158.41 (step @p51 :rule cong :premises (@p13 @p50) :args (@t39)) % 158.07/158.41 (step @p52 :rule trans :premises (@p51 @p36)) % 158.07/158.41 (step @p53 :rule cong :premises (@p26 @p52) :args (@t40)) % 158.07/158.41 (step @p54 :rule trans :premises (@p53 @p35)) % 158.07/158.41 (step @p55 :rule cong :premises (@p54 @p24) :args (@t41)) % 158.07/158.41 (step @p56 :rule trans :premises (@p55 @p23 @p19)) % 158.07/158.41 (step @p57 :rule refl :args (@t42)) % 158.07/158.41 (step @p58 :rule cong :premises (@p57 @p56) :args (@t43)) % 158.07/158.41 (step @p59 :rule symm :premises (@p55)) % 158.07/158.41 (step @p60 :rule symm :premises (@p44)) % 158.07/158.41 (step @p61 :rule symm :premises (@p43)) % 158.07/158.41 (step @p62 :rule trans :premises (@p61 @p60)) % 158.07/158.41 (step @p63 :rule cong :premises (@p62 @p24) :args (@t44)) % 158.07/158.41 (step @p64 :rule trans :premises (@p63 @p59)) % 158.07/158.41 (step @p65 :rule cong :premises (@p57 @p64) :args (@t45)) % 158.07/158.41 (step @p66 :rule trans :premises (@p65 @p58 @p17)) % 158.07/158.41 (step @p67 :rule cong :premises (@p20 @p66) :args (@t46)) % 158.07/158.41 (step @p68 :rule trans :premises (@p67 @p15)) % 158.07/158.41 (step @p69 :rule cong :premises (@p15 @p68) :args (@t47)) % 158.07/158.41 (step @p70 :rule trans :premises (@p69 @p13)) % 158.07/158.41 (step @p71 :rule cong :premises (@p70 @p11) :args ((tptp.divide @t47 @t22))) % 158.07/158.41 (step @p72 :rule instantiate :premises (@p8) :args ((@list tptp.a2 @t42 @t22))) % 158.07/158.41 (step @p73 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t42 tptp.identity))) % 158.07/158.41 (step @p74 :rule symm :premises (@p73)) % 158.07/158.41 (step @p75 :rule cong :premises (@p12 @p26) :args (@t23)) % 158.07/158.41 (step @p76 :rule trans :premises (@p55 @p23 @p19 @p12 @p75)) % 158.07/158.41 (step @p77 :rule cong :premises (@p57 @p76) :args (@t43)) % 158.07/158.41 (step @p78 :rule symm :premises (@p58)) % 158.07/158.41 (step @p79 :rule trans :premises (@p16 @p78 @p77)) % 158.07/158.41 (step @p80 :rule cong :premises (@p26 @p79) :args (@t22)) % 158.07/158.41 (step @p81 :rule cong :premises (@p12 @p80) :args (@t28)) % 158.07/158.41 (step @p82 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t23 @t29))) % 158.07/158.41 (step @p83 :rule symm :premises (@p82)) % 158.07/158.41 (step @p84 :rule symm :premises (@p28)) % 158.07/158.41 (step @p85 :rule refl :args (@t48)) % 158.07/158.41 (step @p86 :rule cong :premises (@p85 @p84) :args (@t49)) % 158.07/158.41 (step @p87 :rule trans :premises (@p86 @p83 @p13)) % 158.07/158.41 (step @p88 :rule cong :premises (@p26 @p87) :args (@t50)) % 158.07/158.41 (step @p89 :rule trans :premises (@p88 @p13)) % 158.07/158.41 (step @p90 :rule cong :premises (@p13 @p89) :args (@t51)) % 158.07/158.41 (step @p91 :rule trans :premises (@p90 @p13)) % 158.07/158.41 (step @p92 :rule cong :premises (@p91 @p11) :args ((tptp.divide @t51 @t22))) % 158.07/158.41 (step @p93 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t48 @t22))) % 158.07/158.41 (step @p94 :rule trans :premises (@p93 @p92 @p81)) % 158.07/158.41 (step @p95 :rule symm :premises (@p72)) % 158.07/158.41 (step @p96 :rule symm :premises (@p71)) % 158.07/158.41 (step @p97 :rule trans :premises (@p93 @p92 @p96 @p95)) % 158.07/158.41 (step @p98 :rule symm :premises (@p97)) % 158.07/158.41 (step @p99 :rule trans :premises (@p98 @p94)) % 158.07/158.41 (step @p100 :rule cong :premises (@p99 @p56) :args (@t43)) % 158.07/158.41 (step @p101 :rule trans :premises (@p16 @p78 @p100 @p74 @p72 @p71 @p10)) % 158.07/158.41 (step @p102 :rule instantiate :premises (@p2) :args ((@list @t18 tptp.a1))) % 158.07/158.41 (step @p103 :rule symm :premises (@p102)) % 158.07/158.41 (step @p104 :rule eq-symm :args (@t10 @t4)) % 158.07/158.41 (step @p105 :rule cong :premises (@p104) :args (@t12)) % 158.07/158.41 (step @p106 :rule eq_resolve :premises (@p3 @p105)) % 158.07/158.41 (step @p107 :rule eq-symm :args (@t52 @t18)) % 158.07/158.41 (step @p108 :rule refl :args (@t53)) % 158.07/158.41 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t53 @t54))) % 158.07/158.41 (assume-push @p631 @t53) % 158.07/158.41 (step @p111 :rule instantiate :premises (@p106) :args ((@list tptp.a1))) % 158.07/158.41 (step-pop @p632 :rule scope :premises (@p111)) % 158.07/158.41 (step @p112 :rule process_scope :premises (@p632) :args (@t54)) % 158.07/158.41 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 158.07/158.41 (step @p115 :rule implies_elim :premises (@p114)) % 158.07/158.41 (step @p116 :rule chain_m_resolution :premises (@p115 @p106) :args ((= @t18 @t52) @t55 (@list @t53))) % 158.07/158.41 (step @p117 :rule refl :args (@t18)) % 158.07/158.41 (step @p118 :rule cong :premises (@p117 @p116) :args ((tptp.divide @t18 @t18))) % 158.07/158.41 (step @p119 :rule instantiate :premises (@p4) :args ((@list @t18))) % 158.07/158.41 (step @p120 :rule trans :premises (@p119 @p118 @p103)) % 158.07/158.41 (step @p121 :rule refl :args (@t15)) % 158.07/158.41 (step @p122 :rule eq-symm :args (@t16 tptp.a2)) % 158.07/158.41 (step @p123 :rule cong :premises (@p122) :args (@t17)) % 158.07/158.41 (step @p124 :rule eq-symm :args (@t19 tptp.identity)) % 158.07/158.41 (step @p125 :rule cong :premises (@p124) :args (@t20)) % 158.07/158.41 (step @p126 :rule nary_cong :premises (@p125 @p123 @p121) :args (@t21)) % 158.07/158.41 (step @p127 :rule eq_resolve :premises (@p5 @p126)) % 158.07/158.41 (step @p128 :rule reordering :premises (@p127) :args ((or @t15 (not @t57) (not @t56)))) % 158.07/158.41 (step @p129 :rule chain_m_resolution :premises (@p128 @p120 @p101) :args (@t15 (@list false false) (@list @t57 @t56))) % 158.07/158.41 (step @p130 :rule false_intro :premises (@p129)) % 158.07/158.41 (step @p131 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t13))) % 158.07/158.41 (step @p132 :rule symm :premises (@p131)) % 158.07/158.41 (step @p133 :rule refl :args (@t58)) % 158.07/158.41 (step @p134 :rule instantiate :premises (@p8) :args ((@list @t60 tptp.a3 tptp.b3))) % 158.07/158.41 (step @p135 :rule symm :premises (@p134)) % 158.07/158.41 (step @p136 :rule refl :args (tptp.b3)) % 158.07/158.41 (step @p137 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.b3 tptp.c3))) % 158.07/158.41 (step @p138 :rule symm :premises (@p137)) % 158.07/158.41 (step @p139 :rule refl :args (tptp.c3)) % 158.07/158.41 (step @p140 :rule refl :args (@t63)) % 158.07/158.41 (step @p141 :rule cong :premises (@p12 @p140) :args (@t64)) % 158.07/158.41 (step @p142 :rule cong :premises (@p141 @p139) :args (@t65)) % 158.07/158.41 (step @p143 :rule trans :premises (@p142 @p138)) % 158.07/158.41 (step @p144 :rule refl :args (@t60)) % 158.07/158.41 (step @p145 :rule cong :premises (@p13 @p144) :args (@t66)) % 158.07/158.41 (step @p146 :rule cong :premises (@p145 @p143) :args (@t67)) % 158.07/158.41 (step @p147 :rule symm :premises (@p143)) % 158.07/158.41 (step @p148 :rule refl :args (@t66)) % 158.07/158.41 (step @p149 :rule cong :premises (@p148 @p147) :args ((tptp.divide @t66 tptp.b3))) % 158.07/158.41 (step @p150 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.a3 tptp.b3))) % 158.07/158.41 (step @p151 :rule trans :premises (@p150 @p149 @p146)) % 158.07/158.41 (step @p152 :rule refl :args (tptp.a3)) % 158.07/158.41 (step @p153 :rule cong :premises (@p152 @p151) :args ((tptp.divide tptp.a3 tptp.a3))) % 158.07/158.41 (step @p154 :rule instantiate :premises (@p4) :args ((@list tptp.a3))) % 158.07/158.41 (step @p155 :rule instantiate :premises (@p4) :args ((@list @t63))) % 158.07/158.41 (step @p156 :rule symm :premises (@p155)) % 158.07/158.41 (step @p157 :rule instantiate :premises (@p8) :args ((@list @t13 @t68 @t67))) % 158.07/158.41 (step @p158 :rule symm :premises (@p157)) % 158.07/158.41 (step @p159 :rule symm :premises (@p146)) % 158.07/158.41 (step @p160 :rule refl :args (@t70)) % 158.07/158.41 (step @p161 :rule cong :premises (@p160 @p159) :args (@t73)) % 158.07/158.41 (step @p162 :rule trans :premises (@p161 @p158 @p156 @p154 @p153)) % 158.07/158.41 (step @p163 :rule cong :premises (@p144 @p162) :args (@t74)) % 158.07/158.41 (step @p164 :rule refl :args (@t75)) % 158.07/158.41 (step @p165 :rule cong :premises (@p164 @p163) :args (@t76)) % 158.07/158.41 (step @p166 :rule cong :premises (@p165 @p136) :args ((tptp.divide @t76 tptp.b3))) % 158.07/158.41 (step @p167 :rule instantiate :premises (@p8) :args ((@list @t60 @t70 tptp.b3))) % 158.07/158.41 (step @p168 :rule refl :args (@t67)) % 158.07/158.41 (step @p169 :rule instantiate :premises (@p2) :args ((@list tptp.b3 tptp.c3))) % 158.07/158.41 (step @p170 :rule symm :premises (@p169)) % 158.07/158.41 (step @p171 :rule cong :premises (@p13 @p139) :args (@t61)) % 158.07/158.41 (step @p172 :rule cong :premises (@p136 @p171) :args (@t62)) % 158.07/158.41 (step @p173 :rule trans :premises (@p172 @p170)) % 158.07/158.41 (step @p174 :rule cong :premises (@p26 @p173) :args (@t63)) % 158.07/158.41 (step @p175 :rule cong :premises (@p174 @p168) :args (@t77)) % 158.07/158.41 (step @p176 :rule cong :premises (@p155 @p175) :args (@t78)) % 158.07/158.41 (step @p177 :rule refl :args (@t13)) % 158.07/158.41 (step @p178 :rule cong :premises (@p177 @p176) :args ((tptp.divide @t13 @t78))) % 158.07/158.41 (step @p179 :rule symm :premises (@p174)) % 158.07/158.41 (step @p180 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t63))) % 158.07/158.41 (step @p181 :rule symm :premises (@p180)) % 158.07/158.41 (step @p182 :rule cong :premises (@p13 @p177) :args (@t79)) % 158.07/158.41 (step @p183 :rule trans :premises (@p182 @p179)) % 158.07/158.41 (step @p184 :rule refl :args (@t80)) % 158.07/158.41 (step @p185 :rule cong :premises (@p184 @p183) :args (@t81)) % 158.07/158.41 (step @p186 :rule trans :premises (@p185 @p181)) % 158.07/158.41 (step @p187 :rule cong :premises (@p26 @p186) :args (@t82)) % 158.07/158.41 (step @p188 :rule trans :premises (@p187 @p13)) % 158.07/158.41 (step @p189 :rule cong :premises (@p13 @p188) :args (@t83)) % 158.07/158.41 (step @p190 :rule trans :premises (@p189 @p13)) % 158.07/158.41 (step @p191 :rule cong :premises (@p190 @p177) :args ((tptp.divide @t83 @t13))) % 158.07/158.41 (step @p192 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t80 @t13))) % 158.07/158.41 (step @p193 :rule refl :args (@t23)) % 158.07/158.41 (step @p194 :rule cong :premises (@p193 @p183) :args (@t84)) % 158.07/158.41 (step @p195 :rule cong :premises (@p26 @p194) :args (@t85)) % 158.07/158.41 (step @p196 :rule cong :premises (@p26 @p195) :args ((tptp.divide tptp.identity @t85))) % 158.07/158.41 (step @p197 :rule refl :args (@t84)) % 158.07/158.41 (step @p198 :rule cong :premises (@p13 @p197) :args (@t86)) % 158.07/158.41 (step @p199 :rule cong :premises (@p13 @p198) :args (@t87)) % 158.07/158.41 (step @p200 :rule trans :premises (@p199 @p196)) % 158.07/158.41 (step @p201 :rule cong :premises (@p12 @p200) :args (@t88)) % 158.07/158.41 (step @p202 :rule trans :premises (@p201 @p192 @p191 @p179)) % 158.07/158.41 (step @p203 :rule cong :premises (@p202 @p168) :args (@t89)) % 158.07/158.41 (step @p204 :rule cong :premises (@p156 @p203) :args (@t90)) % 158.07/158.41 (step @p205 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t13 @t77))) % 158.07/158.41 (step @p206 :rule symm :premises (@p205)) % 158.07/158.41 (step @p207 :rule refl :args (@t77)) % 158.07/158.41 (step @p208 :rule cong :premises (@p12 @p207) :args (@t78)) % 158.07/158.41 (step @p209 :rule symm :premises (@p176)) % 158.07/158.41 (step @p210 :rule trans :premises (@p209 @p208)) % 158.07/158.41 (step @p211 :rule cong :premises (@p177 @p210) :args (@t69)) % 158.07/158.41 (step @p212 :rule instantiate :premises (@p4) :args ((@list @t13))) % 158.07/158.41 (step @p213 :rule symm :premises (@p212)) % 158.07/158.41 (step @p214 :rule cong :premises (@p213 @p211) :args (@t70)) % 158.07/158.41 (step @p215 :rule symm :premises (@p167)) % 158.07/158.41 (step @p216 :rule symm :premises (@p166)) % 158.07/158.41 (step @p217 :rule trans :premises (@p134 @p216 @p215 @p214)) % 158.07/158.41 (step @p218 :rule cong :premises (@p12 @p217) :args (@t91)) % 158.07/158.41 (step @p219 :rule cong :premises (@p218 @p207) :args ((tptp.divide @t91 @t77))) % 158.07/158.41 (step @p220 :rule refl :args (@t69)) % 158.07/158.41 (step @p221 :rule instantiate :premises (@p8) :args ((@list @t87 @t68 @t67))) % 158.07/158.41 (step @p222 :rule symm :premises (@p221)) % 158.07/158.41 (step @p223 :rule trans :premises (@p13 @p212)) % 158.07/158.41 (step @p224 :rule cong :premises (@p223 @p220) :args (@t92)) % 158.07/158.41 (step @p225 :rule trans :premises (@p224 @p167 @p166 @p135 @p150 @p149)) % 158.07/158.41 (step @p226 :rule refl :args (@t95)) % 158.07/158.41 (step @p227 :rule cong :premises (@p226 @p225) :args (@t96)) % 158.07/158.41 (step @p228 :rule trans :premises (@p227 @p222 @p156)) % 158.07/158.41 (step @p229 :rule cong :premises (@p26 @p228) :args (@t97)) % 158.07/158.41 (step @p230 :rule trans :premises (@p229 @p13)) % 158.07/158.41 (step @p231 :rule cong :premises (@p13 @p230) :args (@t98)) % 158.07/158.41 (step @p232 :rule trans :premises (@p231 @p13)) % 158.07/158.41 (step @p233 :rule trans :premises (@p232 @p212)) % 158.07/158.41 (step @p234 :rule cong :premises (@p233 @p220) :args ((tptp.divide @t98 @t69))) % 158.07/158.41 (step @p235 :rule instantiate :premises (@p8) :args ((@list tptp.identity 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158.07/158.41 (step @p251 :rule cong :premises (@p26 @p250) :args (@t103)) % 158.07/158.41 (step @p252 :rule cong :premises (@p13 @p251) :args (@t104)) % 158.07/158.41 (step @p253 :rule trans :premises (@p252 @p245)) % 158.07/158.41 (step @p254 :rule trans :premises (@p253 @p244)) % 158.07/158.41 (step @p255 :rule cong :premises (@p254 @p239) :args ((tptp.divide @t104 @t87))) % 158.07/158.41 (step @p256 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t23 @t87))) % 158.07/158.41 (step @p257 :rule trans :premises (@p12 @p256 @p255)) % 158.07/158.41 (step @p258 :rule cong :premises (@p257 @p240) :args (@t105)) % 158.07/158.41 (step @p259 :rule trans :premises (@p258 @p235 @p234 @p167 @p166 @p135)) % 158.07/158.41 (step @p260 :rule cong :premises (@p13 @p259) :args (@t106)) % 158.07/158.41 (step @p261 :rule cong :premises (@p260 @p207) :args ((tptp.divide @t106 @t77))) % 158.07/158.41 (step @p262 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t87 @t77))) % 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158.07/158.41 (step @p464 :rule trans :premises (@p12 @p463)) % 158.07/158.41 (step @p465 :rule cong :premises (@p464 @p139) :args (@t146)) % 158.07/158.41 (step @p466 :rule trans :premises (@p171 @p465 @p456)) % 158.07/158.41 (step @p467 :rule refl :args (@t14)) % 158.07/158.41 (step @p468 :rule cong :premises (@p467 @p466) :args (@t125)) % 158.07/158.41 (step @p469 :rule cong :premises (@p26 @p468) :args (@t126)) % 158.07/158.41 (step @p470 :rule cong :premises (@p12 @p469) :args (@t127)) % 158.07/158.41 (step @p471 :rule symm :premises (@p356)) % 158.07/158.41 (step @p472 :rule trans :premises (@p471 @p470)) % 158.07/158.41 (step @p473 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t23 @t156))) % 158.07/158.41 (step @p474 :rule symm :premises (@p473)) % 158.07/158.41 (step @p475 :rule cong :premises (@p12 @p413) :args (@t126)) % 158.07/158.41 (step @p476 :rule cong :premises (@p12 @p475) :args (@t127)) % 158.07/158.41 (step @p477 :rule trans :premises (@p471 @p476)) % 158.07/158.41 (step @p478 :rule refl :args (@t170)) % 158.07/158.41 (step @p479 :rule cong :premises (@p478 @p477) :args (@t172)) % 158.07/158.41 (step @p480 :rule trans :premises (@p479 @p474 @p13)) % 158.07/158.41 (step @p481 :rule cong :premises (@p26 @p480) :args (@t173)) % 158.07/158.41 (step @p482 :rule trans :premises (@p481 @p13)) % 158.07/158.41 (step @p483 :rule cong :premises (@p13 @p482) :args (@t174)) % 158.07/158.41 (step @p484 :rule trans :premises (@p483 @p13)) % 158.07/158.41 (step @p485 :rule cong :premises (@p484 @p355) :args ((tptp.divide @t174 @t126))) % 158.07/158.41 (step @p486 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t170 @t126))) % 158.07/158.41 (step @p487 :rule trans :premises (@p486 @p485 @p356)) % 158.07/158.41 (step @p488 :rule trans :premises (@p487 @p472)) % 158.07/158.41 (step @p489 :rule cong :premises (@p488 @p454) :args (@t175)) % 158.07/158.41 (step @p490 :rule trans :premises (@p489 @p451 @p352 @p351 @p409 @p408 @p396 @p394 @p449)) % 158.07/158.41 (step @p491 :rule cong :premises (@p26 @p490) :args (@t176)) % 158.07/158.41 (step @p492 :rule trans :premises (@p491 @p448 @p359)) % 158.07/158.41 (step @p493 :rule cong :premises (@p13 @p492) :args (@t177)) % 158.07/158.41 (step @p494 :rule trans :premises (@p493 @p437)) % 158.07/158.41 (step @p495 :rule trans :premises (@p494 @p436)) % 158.07/158.41 (step @p496 :rule cong :premises (@p495 @p386) :args ((tptp.divide @t177 @t130))) % 158.07/158.41 (step @p497 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t170 @t130))) % 158.07/158.41 (step @p498 :rule symm :premises (@p486)) % 158.07/158.41 (step @p499 :rule symm :premises (@p485)) % 158.07/158.41 (step @p500 :rule trans :premises (@p499 @p498 @p497 @p496 @p430 @p390 @p428 @p427)) % 158.07/158.41 (step @p501 :rule symm :premises (@p472)) % 158.07/158.41 (step @p502 :rule trans :premises (@p501 @p471 @p500 @p426)) % 158.07/158.41 (step @p503 :rule cong :premises (@p502 @p389) :args ((tptp.divide @t178 @t148))) % 158.07/158.41 (step @p504 :rule symm :premises (@p454)) % 158.07/158.41 (step @p505 :rule refl :args (@t178)) % 158.07/158.41 (step @p506 :rule cong :premises (@p505 @p504) :args ((tptp.divide @t178 @t165))) % 158.07/158.41 (step @p507 :rule trans :premises (@p395 @p442 @p441 @p440 @p439 @p450 @p506 @p503)) % 158.07/158.41 (step @p508 :rule trans :premises (@p410 @p507)) % 158.07/158.41 (step @p509 :rule cong :premises (@p508 @p385) :args (@t125)) % 158.07/158.41 (step @p510 :rule refl :args (@t157)) % 158.07/158.41 (step @p511 :rule cong :premises (@p12 @p510) :args ((tptp.divide tptp.identity @t157))) % 158.07/158.41 (step @p512 :rule refl :args (@t156)) % 158.07/158.41 (step @p513 :rule cong :premises (@p13 @p512) :args (@t167)) % 158.07/158.41 (step @p514 :rule cong :premises (@p13 @p513) :args (@t168)) % 158.07/158.41 (step @p515 :rule trans :premises (@p514 @p511 @p425 @p424 @p391 @p509)) % 158.07/158.41 (step @p516 :rule trans :premises (@p357 @p354 @p450 @p506 @p503)) % 158.07/158.41 (step @p517 :rule trans :premises (@p352 @p351)) % 158.07/158.41 (step @p518 :rule symm :premises (@p517)) % 158.07/158.41 (step @p519 :rule trans :premises (@p518 @p410 @p507)) % 158.07/158.41 (step @p520 :rule cong :premises (@p519 @p516) :args (@t153)) % 158.07/158.41 (step @p521 :rule symm :premises (@p403)) % 158.07/158.41 (step @p522 :rule trans :premises (@p401 @p521 @p520)) % 158.07/158.41 (step @p523 :rule cong :premises (@p522 @p515) :args (@t169)) % 158.07/158.41 (step @p524 :rule symm :premises (@p514)) % 158.07/158.41 (step @p525 :rule cong :premises (@p26 @p477) :args (@t179)) % 158.07/158.41 (step @p526 :rule cong :premises (@p26 @p525) :args (@t180)) % 158.07/158.41 (step @p527 :rule trans :premises (@p526 @p524)) % 158.07/158.41 (step @p528 :rule cong :premises (@p13 @p527) :args (@t181)) % 158.07/158.41 (step @p529 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t181 @t125))) % 158.07/158.41 (step @p530 :rule symm :premises (@p529)) % 158.07/158.41 (step @p531 :rule refl :args (@t181)) % 158.07/158.41 (step @p532 :rule cong :premises (@p531 @p475) :args ((tptp.divide @t181 @t126))) % 158.07/158.41 (step @p533 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity @t126))) % 158.07/158.41 (step @p534 :rule trans :premises (@p533 @p532)) % 158.07/158.41 (step @p535 :rule cong :premises (@p26 @p534) :args (@t23)) % 158.07/158.41 (step @p536 :rule trans :premises (@p12 @p535)) % 158.07/158.41 (step @p537 :rule cong :premises (@p12 @p536) :args (@t23)) % 158.07/158.41 (step @p538 :rule trans :premises (@p12 @p537)) % 158.07/158.41 (step @p539 :rule cong :premises (@p538 @p413) :args (@t126)) % 158.07/158.41 (step @p540 :rule trans :premises (@p539 @p530 @p528 @p523 @p340 @p339 @p316 @p314 @p312 @p295 @p292 @p290)) % 158.07/158.41 (step @p541 :rule cong :premises (@p12 @p540) :args (@t127)) % 158.07/158.41 (step @p542 :rule instantiate :premises (@p2) :args ((@list @t23 @t125))) % 158.07/158.41 (step @p543 :rule trans :premises (@p514 @p511 @p425 @p424 @p391)) % 158.07/158.41 (step @p544 :rule cong :premises (@p193 @p543) :args ((tptp.multiply @t23 @t168))) % 158.07/158.41 (step @p545 :rule symm :premises (@p511)) % 158.07/158.41 (step @p546 :rule symm :premises (@p541)) % 158.07/158.41 (step @p547 :rule trans :premises (@p546 @p499 @p498 @p497 @p496 @p430 @p390 @p428 @p427 @p545 @p524)) % 158.07/158.41 (step @p548 :rule cong :premises (@p193 @p547) :args (@t182)) % 158.07/158.41 (step @p549 :rule eq-symm :args (@t182 @t183)) % 158.07/158.41 (step @p550 :rule refl :args (@t9)) % 158.07/158.41 (step @p551 :rule cong :premises (@p550 @p549) :args ((=> @t9 @t184))) % 158.07/158.41 (assume-push @p633 @t9) % 158.07/158.41 (step @p553 :rule instantiate :premises (@p2) :args (@t185)) % 158.07/158.41 (step-pop @p634 :rule scope :premises (@p553)) % 158.07/158.41 (step @p554 :rule process_scope :premises (@p634) :args (@t184)) % 158.07/158.41 (step @p556 :rule eq_resolve :premises (@p554 @p551)) % 158.07/158.41 (step @p557 :rule implies_elim :premises (@p556)) % 158.07/158.41 (step @p558 :rule chain_m_resolution :premises (@p557 @p2) :args ((= @t183 @t182) @t55 @t186)) % 158.07/158.41 (step @p559 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t183 tptp.identity))) % 158.07/158.41 (step @p560 :rule symm :premises (@p559)) % 158.07/158.41 (step @p561 :rule symm :premises (@p364)) % 158.07/158.41 (step @p562 :rule cong :premises (@p26 @p561) :args (@t187)) % 158.07/158.41 (step @p563 :rule trans :premises (@p562 @p13)) % 158.07/158.41 (step @p564 :rule trans :premises (@p562 @p75)) % 158.07/158.41 (step @p553 :rule instantiate :premises (@p2) :args (@t185)) % 158.07/158.41 (step @p565 :rule symm :premises (@p548)) % 158.07/158.41 (step @p566 :rule symm :premises (@p544)) % 158.07/158.41 (step @p567 :rule eq-symm :args (@t188 @t171)) % 158.07/158.41 (step @p568 :rule cong :premises (@p550 @p567) :args ((=> @t9 @t189))) % 158.07/158.41 (assume-push @p635 @t9) % 158.07/158.41 (step-pop @p636 :rule scope :premises (@p542)) % 158.07/158.41 (step @p570 :rule process_scope :premises (@p636) :args (@t189)) % 158.07/158.41 (step @p572 :rule eq_resolve :premises (@p570 @p568)) % 158.07/158.41 (step @p573 :rule implies_elim :premises (@p572)) % 158.07/158.41 (step @p574 :rule chain_m_resolution :premises (@p573 @p2) :args ((= @t171 @t188) @t55 @t186)) % 158.07/158.41 (step @p575 :rule symm :premises (@p497)) % 158.07/158.41 (step @p576 :rule symm :premises (@p496)) % 158.07/158.41 (step @p577 :rule trans :premises (@p425 @p424 @p391 @p429 @p576 @p575 @p486 @p485 @p356 @p574 @p566 @p565 @p553)) % 158.07/158.41 (step @p578 :rule symm :premises (@p426)) % 158.07/158.41 (step @p579 :rule trans :premises (@p578 @p577)) % 158.07/158.41 (step @p580 :rule cong :premises (@p579 @p564) :args (@t190)) % 158.07/158.41 (step @p581 :rule cong :premises (@p344 @p580) :args (@t191)) % 158.07/158.41 (step @p582 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t191 @t125))) % 158.07/158.41 (step @p583 :rule symm :premises (@p582)) % 158.07/158.41 (step @p584 :rule refl :args (@t191)) % 158.07/158.41 (step @p585 :rule cong :premises (@p584 @p475) :args ((tptp.divide @t191 @t126))) % 158.07/158.41 (step @p586 :rule instantiate :premises (@p8) :args ((@list @t125 tptp.identity @t126))) % 158.07/158.41 (step @p587 :rule trans :premises (@p586 @p585)) % 158.07/158.41 (step @p588 :rule cong :premises (@p26 @p587) :args (@t23)) % 158.07/158.41 (step @p589 :rule trans :premises (@p12 @p588)) % 158.07/158.41 (step @p590 :rule cong :premises (@p12 @p589) :args (@t23)) % 158.07/158.41 (step @p591 :rule trans :premises (@p12 @p590)) % 158.07/158.41 (step @p592 :rule cong :premises (@p591 @p413) :args (@t126)) % 158.07/158.41 (step @p593 :rule trans :premises (@p592 @p583 @p581)) % 158.07/158.41 (step @p594 :rule cong :premises (@p12 @p593) :args (@t127)) % 158.07/158.41 (step @p595 :rule trans :premises (@p425 @p424 @p391 @p429 @p576 @p575 @p486 @p485 @p594)) % 158.07/158.41 (step @p596 :rule trans :premises (@p578 @p595)) % 158.07/158.41 (step @p597 :rule cong :premises (@p596 @p563) :args (@t190)) % 158.07/158.41 (step @p598 :rule symm :premises (@p562)) % 158.07/158.41 (step @p599 :rule cong :premises (@p26 @p244) :args (@t192)) % 158.07/158.41 (step @p600 :rule trans :premises (@p599 @p201 @p192 @p191 @p179)) % 158.07/158.41 (step @p601 :rule cong :premises (@p600 @p179) :args (@t193)) % 158.07/158.41 (step @p602 :rule trans :premises (@p601 @p156 @p12 @p598)) % 158.07/158.41 (step @p603 :rule cong :premises (@p413 @p602) :args (@t194)) % 158.07/158.41 (step @p604 :rule trans :premises (@p603 @p597 @p560 @p558 @p548 @p544 @p542 @p471 @p541 @p311 @p310 @p209 @p236)) % 158.07/158.41 (step @p605 :rule cong :premises (@p244 @p604) :args (@t195)) % 158.07/158.41 (step @p606 :rule trans :premises (@p605 @p267 @p178)) % 158.07/158.41 (step @p607 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t23 @t13))) % 158.07/158.41 (step @p608 :rule symm :premises (@p607)) % 158.07/158.41 (step @p609 :rule trans :premises (@p243 @p241 @p262 @p261 @p219 @p206)) % 158.07/158.41 (step @p610 :rule refl :args (@t100)) % 158.07/158.41 (step @p611 :rule cong :premises (@p610 @p609) :args (@t196)) % 158.07/158.41 (step @p612 :rule trans :premises (@p611 @p608 @p13)) % 158.07/158.41 (step @p613 :rule trans :premises (@p612 @p212)) % 158.07/158.41 (step @p614 :rule cong :premises (@p613 @p606) :args (@t197)) % 158.07/158.41 (step @p615 :rule trans :premises (@p614 @p167 @p166 @p135)) % 158.07/158.41 (step @p616 :rule cong :premises (@p615 @p133) :args (@t198)) % 158.07/158.41 (step @p617 :rule trans :premises (@p616 @p132)) % 158.07/158.41 (step @p618 :rule instantiate :premises (@p2) :args ((@list @t14 tptp.c3))) % 158.07/158.41 (step @p619 :rule symm :premises (@p618)) % 158.07/158.41 (step @p620 :rule cong :premises (@p467 @p171) :args (@t125)) % 158.07/158.41 (step @p621 :rule trans :premises (@p620 @p619)) % 158.07/158.41 (step @p622 :rule cong :premises (@p621 @p617) :args (@t199)) % 158.07/158.41 (step @p623 :rule trans :premises (@p622 @p130)) % 158.07/158.41 (step @p624 :rule false_elim :premises (@p623)) % 158.07/158.41 (assume-push @p637 @t200) % 158.07/158.41 (step @p626 :rule instantiate :premises (@p8) :args ((@list @t100 @t125 @t58))) % 158.07/158.41 (step-pop @p638 :rule scope :premises (@p626)) % 158.07/158.41 (step @p627 :rule process_scope :premises (@p638) :args (@t199)) % 158.07/158.41 (step @p629 :rule implies_elim :premises (@p627)) % 158.07/158.41 (step @p630 false :rule chain_m_resolution :premises (@p629 @p624 @p8) :args (false (@list true false) (@list @t199 @t200))) % 158.07/158.41 ) % 158.07/158.41 % SZS output end Proof % 158.07/158.41 % cvc5 exiting %------------------------------------------------------------------------------