%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP453-1 : 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 : n008.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 08:20:45 AM UTC 2026 % Result : Unsatisfiable 35.96s 36.14s % Output : Proof 35.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP453-1 : TPTP v9.2.1. Released v2.6.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:09:03 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... % 15.31/15.53 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.33/27.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.33/33.59 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.96/36.14 % SZS status Unsatisfiable % 35.96/36.14 % SZS output start Proof % 35.96/36.15 ( % 35.96/36.15 (declare-sort $$unsorted 0) % 35.96/36.15 (declare-const tptp.a3 $$unsorted) % 35.96/36.15 (declare-const tptp.b3 $$unsorted) % 35.96/36.15 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 35.96/36.15 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 35.96/36.15 (declare-const tptp.c3 $$unsorted) % 35.96/36.15 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 35.96/36.15 (define @t1 () (@var "B" $$unsorted)) % 35.96/36.15 (define @t2 () (@var "C" $$unsorted)) % 35.96/36.15 (define @t3 () (@var "A" $$unsorted)) % 35.96/36.15 (define @t4 () (tptp.divide @t3 @t3)) % 35.96/36.15 (define @t5 () (tptp.divide (tptp.divide @t4 (tptp.divide @t3 (tptp.divide @t1 (tptp.divide (tptp.divide @t4 @t3) @t2)))) @t2)) % 35.96/36.15 (define @t6 () (@list @t3 @t1 @t2)) % 35.96/36.15 (define @t7 () (forall @t6 (= @t5 @t1))) % 35.96/36.15 (define @t8 () (forall (@list @t3 @t1) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t1 @t1) @t3)))) % 35.96/36.15 (define @t9 () (tptp.multiply tptp.b3 tptp.c3)) % 35.96/36.15 (define @t10 () (tptp.multiply tptp.a3 tptp.b3)) % 35.96/36.15 (define @t11 () (tptp.divide tptp.a3 tptp.a3)) % 35.96/36.15 (define @t12 () (tptp.divide @t11 tptp.c3)) % 35.96/36.15 (define @t13 () (tptp.divide @t11 @t11)) % 35.96/36.15 (define @t14 () (tptp.divide @t13 @t11)) % 35.96/36.15 (define @t15 () (tptp.divide @t14 tptp.b3)) % 35.96/36.15 (define @t16 () (tptp.divide tptp.a3 @t15)) % 35.96/36.15 (define @t17 () (tptp.divide @t11 @t16)) % 35.96/36.15 (define @t18 () (tptp.divide @t17 @t17)) % 35.96/36.15 (define @t19 () (tptp.divide @t18 @t17)) % 35.96/36.15 (define @t20 () (tptp.divide @t19 tptp.b3)) % 35.96/36.15 (define @t21 () (tptp.divide @t11 @t20)) % 35.96/36.15 (define @t22 () (tptp.divide @t17 @t21)) % 35.96/36.15 (define @t23 () (tptp.divide @t14 @t22)) % 35.96/36.15 (define @t24 () (tptp.divide @t11 @t23)) % 35.96/36.15 (define @t25 () (tptp.divide @t11 @t24)) % 35.96/36.15 (define @t26 () (tptp.divide @t13 @t25)) % 35.96/36.15 (define @t27 () (tptp.divide @t26 @t26)) % 35.96/36.15 (define @t28 () (tptp.divide @t27 @t26)) % 35.96/36.15 (define @t29 () (tptp.divide @t28 @t12)) % 35.96/36.15 (define @t30 () (tptp.divide @t14 @t9)) % 35.96/36.15 (define @t31 () (tptp.divide tptp.a3 @t30)) % 35.96/36.15 (define @t32 () (tptp.divide @t11 @t31)) % 35.96/36.15 (define @t33 () (tptp.divide @t13 @t32)) % 35.96/36.15 (define @t34 () (tptp.divide @t33 @t29)) % 35.96/36.15 (define @t35 () (tptp.divide @t26 @t34)) % 35.96/36.15 (define @t36 () (tptp.divide @t27 @t35)) % 35.96/36.15 (define @t37 () (tptp.divide @t36 @t12)) % 35.96/36.15 (define @t38 () (= @t33 @t37)) % 35.96/36.15 (define @t39 () (= @t37 @t33)) % 35.96/36.15 (define @t40 () (tptp.divide @t14 tptp.c3)) % 35.96/36.15 (define @t41 () (tptp.divide tptp.b3 @t40)) % 35.96/36.15 (define @t42 () (tptp.divide @t11 @t41)) % 35.96/36.15 (define @t43 () (tptp.inverse @t9)) % 35.96/36.15 (define @t44 () (tptp.divide @t11 @t9)) % 35.96/36.15 (define @t45 () (= @t43 @t44)) % 35.96/36.15 (define @t46 () (@list @t9 tptp.a3)) % 35.96/36.15 (define @t47 () (@list false)) % 35.96/36.15 (define @t48 () (@list @t8)) % 35.96/36.15 (define @t49 () (tptp.inverse @t42)) % 35.96/36.15 (define @t50 () (tptp.divide @t13 @t42)) % 35.96/36.15 (define @t51 () (= @t49 @t50)) % 35.96/36.15 (define @t52 () (@list @t42 @t11)) % 35.96/36.15 (define @t53 () (tptp.divide @t13 @t30)) % 35.96/36.15 (define @t54 () (tptp.divide @t11 @t53)) % 35.96/36.15 (define @t55 () (tptp.divide @t13 @t54)) % 35.96/36.15 (define @t56 () (tptp.divide tptp.c3 tptp.c3)) % 35.96/36.15 (define @t57 () (tptp.divide @t56 @t30)) % 35.96/36.15 (define @t58 () (tptp.divide @t11 @t57)) % 35.96/36.15 (define @t59 () (tptp.divide @t13 @t58)) % 35.96/36.15 (define @t60 () (tptp.divide @t11 (tptp.divide @t11 @t30))) % 35.96/36.15 (define @t61 () (tptp.divide @t11 (tptp.divide @t11 (tptp.divide @t14 @t42)))) % 35.96/36.15 (define @t62 () (tptp.divide @t13 @t61)) % 35.96/36.15 (define @t63 () (tptp.divide @t62 @t30)) % 35.96/36.15 (define @t64 () (tptp.divide @t11 @t63)) % 35.96/36.15 (define @t65 () (tptp.divide @t13 @t13)) % 35.96/36.15 (define @t66 () (tptp.divide @t13 @t64)) % 35.96/36.15 (define @t67 () (tptp.divide @t13 @t10)) % 35.96/36.15 (define @t68 () (tptp.divide @t14 @t17)) % 35.96/36.15 (define @t69 () (tptp.divide @t11 @t68)) % 35.96/36.15 (define @t70 () (tptp.divide @t11 @t69)) % 35.96/36.15 (define @t71 () (tptp.divide @t13 @t70)) % 35.96/36.15 (define @t72 () (tptp.divide @t14 @t10)) % 35.96/36.15 (define @t73 () (tptp.divide @t71 @t72)) % 35.96/36.15 (define @t74 () (tptp.divide @t11 @t73)) % 35.96/36.15 (define @t75 () (tptp.divide @t62 @t62)) % 35.96/36.15 (define @t76 () (tptp.divide @t75 @t62)) % 35.96/36.15 (define @t77 () (tptp.divide @t76 @t53)) % 35.96/36.15 (define @t78 () (tptp.divide @t14 @t11)) % 35.96/36.15 (define @t79 () (tptp.divide @t13 (tptp.divide @t11 (tptp.divide @t42 @t78)))) % 35.96/36.15 (define @t80 () (tptp.divide @t79 @t77)) % 35.96/36.15 (define @t81 () (tptp.inverse @t11)) % 35.96/36.15 (define @t82 () (= @t81 @t13)) % 35.96/36.15 (define @t83 () (tptp.inverse @t54)) % 35.96/36.15 (define @t84 () (= @t83 @t55)) % 35.96/36.15 (define @t85 () (tptp.divide @t14 @t54)) % 35.96/36.15 (define @t86 () (tptp.divide @t13 @t85)) % 35.96/36.15 (define @t87 () (tptp.divide @t11 @t86)) % 35.96/36.15 (define @t88 () (tptp.divide @t13 @t87)) % 35.96/36.15 (define @t89 () (tptp.divide @t62 @t80)) % 35.96/36.15 (define @t90 () (tptp.divide @t75 @t89)) % 35.96/36.15 (define @t91 () (tptp.divide @t11 tptp.a3)) % 35.96/36.15 (define @t92 () (tptp.divide @t11 (tptp.divide tptp.a3 (tptp.divide tptp.a3 (tptp.divide @t91 tptp.b3))))) % 35.96/36.15 (define @t93 () (tptp.divide @t92 @t23)) % 35.96/36.15 (define @t94 () (tptp.divide @t11 @t93)) % 35.96/36.15 (define @t95 () (tptp.divide @t14 @t32)) % 35.96/36.15 (define @t96 () (tptp.divide @t11 @t95)) % 35.96/36.15 (define @t97 () (tptp.divide @t11 @t96)) % 35.96/36.15 (define @t98 () (tptp.divide @t13 (tptp.divide @t11 (tptp.divide @t13 (tptp.divide @t14 @t97))))) % 35.96/36.15 (define @t99 () (tptp.divide @t13 @t17)) % 35.96/36.15 (define @t100 () (tptp.divide @t76 tptp.c3)) % 35.96/36.15 (define @t101 () (tptp.divide @t18 @t22)) % 35.96/36.15 (define @t102 () (tptp.divide tptp.b3 tptp.b3)) % 35.96/36.15 (define @t103 () (tptp.divide @t102 @t78)) % 35.96/36.15 (define @t104 () (tptp.divide @t11 @t103)) % 35.96/36.15 (define @t105 () (tptp.divide @t13 @t104)) % 35.96/36.15 (define @t106 () (tptp.divide @t42 @t42)) % 35.96/36.15 (define @t107 () (tptp.divide (tptp.divide @t106 @t42) tptp.c3)) % 35.96/36.15 (define @t108 () (tptp.divide tptp.b3 @t107)) % 35.96/36.15 (define @t109 () (tptp.divide @t42 @t108)) % 35.96/36.15 (define @t110 () (tptp.divide @t106 @t109)) % 35.96/36.15 (define @t111 () (tptp.divide @t11 @t99)) % 35.96/36.15 (define @t112 () (tptp.divide @t13 @t72)) % 35.96/36.15 (define @t113 () (tptp.divide @t11 @t112)) % 35.96/36.15 (define @t114 () (tptp.divide @t13 @t113)) % 35.96/36.15 (define @t115 () (tptp.divide @t92 @t107)) % 35.96/36.15 (define @t116 () (tptp.divide @t42 @t115)) % 35.96/36.15 (define @t117 () (tptp.divide @t106 @t116)) % 35.96/36.15 (define @t118 () (tptp.divide @t102 tptp.b3)) % 35.96/36.15 (define @t119 () (tptp.divide @t102 (tptp.divide tptp.b3 (tptp.divide tptp.a3 (tptp.divide @t118 tptp.b3))))) % 35.96/36.15 (define @t120 () (tptp.divide @t119 @t107)) % 35.96/36.15 (define @t121 () (tptp.divide @t42 @t120)) % 35.96/36.15 (define @t122 () (tptp.divide @t106 @t121)) % 35.96/36.15 (define @t123 () (tptp.divide tptp.a3 @t44)) % 35.96/36.15 (define @t124 () (tptp.divide @t56 @t31)) % 35.96/36.15 (define @t125 () (tptp.inverse @t31)) % 35.96/36.15 (define @t126 () (= @t125 @t32)) % 35.96/36.15 (define @t127 () (tptp.divide @t13 @t97)) % 35.96/36.15 (define @t128 () (tptp.divide @t14 @t31)) % 35.96/36.15 (define @t129 () (tptp.divide @t32 @t32)) % 35.96/36.15 (define @t130 () (tptp.divide @t129 @t32)) % 35.96/36.15 (define @t131 () (tptp.divide @t130 @t61)) % 35.96/36.15 (define @t132 () (tptp.divide @t11 @t131)) % 35.96/36.15 (define @t133 () (tptp.divide @t10 @t10)) % 35.96/36.15 (define @t134 () (tptp.inverse @t32)) % 35.96/36.15 (define @t135 () (= @t134 @t33)) % 35.96/36.15 (define @t136 () (tptp.divide @t13 @t128)) % 35.96/36.15 (define @t137 () (tptp.divide @t11 @t136)) % 35.96/36.15 (define @t138 () (tptp.divide @t13 @t137)) % 35.96/36.15 (define @t139 () (tptp.divide @t88 @t78)) % 35.96/36.15 (define @t140 () (tptp.divide @t11 @t139)) % 35.96/36.15 (define @t141 () (tptp.divide @t13 @t140)) % 35.96/36.15 (define @t142 () (tptp.divide @t13 tptp.a3)) % 35.96/36.15 (define @t143 () (tptp.divide @t70 @t70)) % 35.96/36.15 (define @t144 () (tptp.divide @t143 (tptp.divide @t70 (tptp.divide @t18 (tptp.divide (tptp.divide @t143 @t70) @t21))))) % 35.96/36.15 (define @t145 () (tptp.inverse tptp.a3)) % 35.96/36.15 (define @t146 () (= @t145 @t91)) % 35.96/36.15 (define @t147 () (tptp.divide @t91 @t132)) % 35.96/36.15 (define @t148 () (tptp.divide @t42 @t147)) % 35.96/36.15 (define @t149 () (tptp.divide tptp.a3 @t148)) % 35.96/36.15 (define @t150 () (tptp.divide @t11 @t149)) % 35.96/36.15 (define @t151 () (tptp.divide @t9 @t9)) % 35.96/36.15 (define @t152 () (tptp.divide @t151 @t128)) % 35.96/36.15 (define @t153 () (tptp.divide @t11 @t152)) % 35.96/36.15 (define @t154 () (tptp.divide @t13 @t153)) % 35.96/36.15 (define @t155 () (tptp.divide @t154 @t31)) % 35.96/36.15 (define @t156 () (tptp.divide @t71 @t71)) % 35.96/36.15 (define @t157 () (tptp.divide @t156 @t71)) % 35.96/36.15 (define @t158 () (tptp.divide @t157 tptp.b3)) % 35.96/36.15 (define @t159 () (tptp.divide @t118 tptp.a3)) % 35.96/36.15 (define @t160 () (tptp.divide @t102 (tptp.divide tptp.b3 (tptp.divide @t13 @t159)))) % 35.96/36.15 (define @t161 () (tptp.divide @t127 @t127)) % 35.96/36.15 (define @t162 () (tptp.divide @t161 @t127)) % 35.96/36.15 (define @t163 () (tptp.divide @t162 @t61)) % 35.96/36.15 (define @t164 () (tptp.divide @t160 @t163)) % 35.96/36.15 (define @t165 () (tptp.divide @t127 @t164)) % 35.96/36.15 (define @t166 () (tptp.divide @t161 @t165)) % 35.96/36.15 (define @t167 () (tptp.divide (tptp.divide @t129 (tptp.divide @t32 (tptp.divide tptp.a3 @t131))) @t85)) % 35.96/36.15 (define @t168 () (tptp.divide @t11 @t167)) % 35.96/36.15 (define @t169 () (tptp.divide @t13 (tptp.divide @t11 (tptp.divide tptp.a3 (tptp.divide @t14 @t61))))) % 35.96/36.15 (define @t170 () (tptp.divide @t169 @t85)) % 35.96/36.15 (define @t171 () (tptp.divide @t11 @t170)) % 35.96/36.15 (define @t172 () (tptp.divide @t13 @t171)) % 35.96/36.15 (define @t173 () (tptp.divide @t10 @t40)) % 35.96/36.15 (define @t174 () (tptp.divide @t11 @t173)) % 35.96/36.15 (define @t175 () (tptp.divide @t14 @t173)) % 35.96/36.15 (define @t176 () (tptp.divide @t13 (tptp.divide @t11 (tptp.divide @t11 (tptp.divide @t14 @t174))))) % 35.96/36.15 (define @t177 () (tptp.divide @t176 @t175)) % 35.96/36.15 (define @t178 () (tptp.divide @t11 @t177)) % 35.96/36.15 (define @t179 () (tptp.divide @t13 @t178)) % 35.96/36.15 (define @t180 () (tptp.divide @t13 @t174)) % 35.96/36.15 (define @t181 () (tptp.divide @t174 @t174)) % 35.96/36.15 (define @t182 () (tptp.divide @t114 (tptp.divide (tptp.divide @t181 @t174) tptp.c3))) % 35.96/36.15 (define @t183 () (tptp.divide @t174 @t182)) % 35.96/36.15 (define @t184 () (tptp.divide @t181 @t183)) % 35.96/36.15 (define @t185 () (tptp.divide @t13 @t112)) % 35.96/36.15 (define @t186 () (tptp.divide @t18 (tptp.divide @t17 (tptp.divide tptp.a3 @t20)))) % 35.96/36.15 (define @t187 () (tptp.divide @t186 @t100)) % 35.96/36.15 (define @t188 () (tptp.divide @t62 @t187)) % 35.96/36.15 (define @t189 () (tptp.divide @t75 @t188)) % 35.96/36.15 (define @t190 () (tptp.divide @t17 @t78)) % 35.96/36.15 (define @t191 () (tptp.divide @t11 @t190)) % 35.96/36.15 (define @t192 () (tptp.divide @t13 @t191)) % 35.96/36.15 (define @t193 () (tptp.divide @t192 @t11)) % 35.96/36.15 (define @t194 () (tptp.inverse @t113)) % 35.96/36.15 (define @t195 () (= @t194 @t114)) % 35.96/36.15 (define @t196 () (tptp.divide @t14 @t113)) % 35.96/36.15 (define @t197 () (tptp.divide @t13 @t196)) % 35.96/36.15 (define @t198 () (tptp.divide @t11 @t197)) % 35.96/36.15 (define @t199 () (tptp.divide @t13 tptp.b3)) % 35.96/36.15 (define @t200 () (tptp.divide @t157 @t112)) % 35.96/36.15 (define @t201 () (tptp.divide @t151 @t9)) % 35.96/36.15 (define @t202 () (tptp.divide @t151 (tptp.divide @t9 (tptp.divide @t106 (tptp.divide @t201 @t108))))) % 35.96/36.15 (define @t203 () (tptp.divide @t202 @t200)) % 35.96/36.15 (define @t204 () (tptp.divide @t71 @t203)) % 35.96/36.15 (define @t205 () (tptp.divide @t156 @t204)) % 35.96/36.15 (define @t206 () (tptp.divide @t14 @t109)) % 35.96/36.15 (define @t207 () (tptp.divide @t9 @t206)) % 35.96/36.15 (define @t208 () (tptp.divide @t11 @t207)) % 35.96/36.15 (define @t209 () (tptp.divide @t13 @t208)) % 35.96/36.15 (define @t210 () (tptp.divide @t14 @t94)) % 35.96/36.15 (define @t211 () (tptp.divide @t11 @t107)) % 35.96/36.15 (define @t212 () (tptp.divide @t151 (tptp.divide @t9 (tptp.divide @t106 (tptp.divide @t201 @t211))))) % 35.96/36.15 (define @t213 () (tptp.divide @t212 @t15)) % 35.96/36.15 (define @t214 () (tptp.divide @t11 @t213)) % 35.96/36.15 (define @t215 () (tptp.divide @t13 @t214)) % 35.96/36.15 (define @t216 () (tptp.divide @t212 @t210)) % 35.96/36.15 (define @t217 () (tptp.divide @t11 @t216)) % 35.96/36.15 (define @t218 () (tptp.divide @t13 @t217)) % 35.96/36.15 (define @t219 () (tptp.divide @t133 @t10)) % 35.96/36.15 (define @t220 () (tptp.divide @t10 (tptp.divide @t11 (tptp.divide @t219 @t17)))) % 35.96/36.15 (define @t221 () (tptp.divide @t133 @t220)) % 35.96/36.15 (define @t222 () (tptp.divide @t221 @t72)) % 35.96/36.15 (define @t223 () (tptp.divide @t11 @t222)) % 35.96/36.15 (define @t224 () (tptp.divide @t13 @t223)) % 35.96/36.15 (define @t225 () (tptp.divide @t219 @t21)) % 35.96/36.15 (define @t226 () (tptp.divide @t26 @t225)) % 35.96/36.15 (define @t227 () (tptp.divide @t10 @t226)) % 35.96/36.15 (define @t228 () (tptp.divide @t133 @t227)) % 35.96/36.15 (define @t229 () (forall @t6 (= @t1 @t5))) % 35.96/36.15 (assume @p1 @t7) % 35.96/36.15 (assume @p2 (forall @t6 (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide (tptp.divide @t2 @t2) @t1))))) % 35.96/36.15 (assume @p3 @t8) % 35.96/36.15 (assume @p4 (not (= (tptp.multiply @t10 tptp.c3) (tptp.multiply tptp.a3 @t9)))) % 35.96/36.15 (step @p5 :rule eq-symm :args (@t5 @t1)) % 35.96/36.15 (step @p6 :rule cong :premises (@p5) :args (@t7)) % 35.96/36.15 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 35.96/36.15 (step @p8 :rule bool-eq-false :args (@t38)) % 35.96/36.15 (step @p9 :rule symm :premises (@p8)) % 35.96/36.15 (step @p10 :rule eq-symm :args (@t37 @t33)) % 35.96/36.15 (step @p11 :rule cong :premises (@p10) :args ((not @t39))) % 35.96/36.15 (step @p12 :rule bool-eq-false :args (@t39)) % 35.96/36.15 (step @p13 :rule trans :premises (@p12 @p11)) % 35.96/36.15 (step @p14 :rule trans :premises (@p13 @p9)) % 35.96/36.15 (step @p15 :rule false_intro :premises (@p4)) % 35.96/36.15 (step @p16 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t9 tptp.a3))) % 35.96/36.15 (step @p17 :rule symm :premises (@p16)) % 35.96/36.15 (step @p18 :rule instantiate :premises (@p2) :args ((@list tptp.b3 tptp.c3 tptp.a3))) % 35.96/36.15 (step @p19 :rule symm :premises (@p18)) % 35.96/36.15 (step @p20 :rule instantiate :premises (@p3) :args ((@list tptp.c3 tptp.a3))) % 35.96/36.15 (step @p21 :rule instantiate :premises (@p3) :args ((@list tptp.c3 @t11))) % 35.96/36.15 (step @p22 :rule symm :premises (@p21)) % 35.96/36.15 (step @p23 :rule refl :args (tptp.c3)) % 35.96/36.15 (step @p24 :rule instantiate :premises (@p3) :args ((@list @t11 tptp.a3))) % 35.96/36.15 (step @p25 :rule instantiate :premises (@p3) :args ((@list @t11 @t11))) % 35.96/36.15 (step @p26 :rule symm :premises (@p25)) % 35.96/36.15 (step @p27 :rule trans :premises (@p26 @p24)) % 35.96/36.15 (step @p28 :rule cong :premises (@p27 @p23) :args (@t40)) % 35.96/36.15 (step @p29 :rule trans :premises (@p28 @p22 @p20)) % 35.96/36.15 (step @p30 :rule refl :args (tptp.b3)) % 35.96/36.15 (step @p31 :rule cong :premises (@p30 @p29) :args (@t41)) % 35.96/36.15 (step @p32 :rule trans :premises (@p31 @p19)) % 35.96/36.15 (step @p33 :rule refl :args (@t11)) % 35.96/36.15 (step @p34 :rule cong :premises (@p33 @p32) :args (@t42)) % 35.96/36.15 (step @p35 :rule instantiate :premises (@p7) :args ((@list @t11 @t42 @t11))) % 35.96/36.15 (step @p36 :rule symm :premises (@p35)) % 35.96/36.15 (step @p37 :rule instantiate :premises (@p7) :args ((@list @t11 @t11 @t9))) % 35.96/36.15 (step @p38 :rule symm :premises (@p37)) % 35.96/36.15 (step @p39 :rule refl :args (@t9)) % 35.96/36.15 (step @p40 :rule symm :premises (@p27)) % 35.96/36.15 (step @p41 :rule cong :premises (@p40 @p39) :args ((tptp.divide @t13 @t9))) % 35.96/36.15 (step @p42 :rule instantiate :premises (@p3) :args ((@list @t9 @t11))) % 35.96/36.15 (step @p43 :rule eq-symm :args (@t43 @t44)) % 35.96/36.15 (step @p44 :rule refl :args (@t8)) % 35.96/36.15 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t8 @t45))) % 35.96/36.15 (assume-push @p850 @t8) % 35.96/36.15 (step @p47 :rule instantiate :premises (@p3) :args (@t46)) % 35.96/36.15 (step-pop @p851 :rule scope :premises (@p47)) % 35.96/36.15 (step @p48 :rule process_scope :premises (@p851) :args (@t45)) % 35.96/36.15 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 35.96/36.15 (step @p51 :rule implies_elim :premises (@p50)) % 35.96/36.15 (step @p52 :rule chain_m_resolution :premises (@p51 @p3) :args ((= @t44 @t43) @t47 @t48)) % 35.96/36.15 (step @p53 :rule trans :premises (@p34 @p52 @p42 @p41)) % 35.96/36.15 (step @p54 :rule cong :premises (@p33 @p53) :args ((tptp.divide @t11 @t42))) % 35.96/36.15 (step @p55 :rule instantiate :premises (@p3) :args ((@list @t42 tptp.a3))) % 35.96/36.15 (step @p56 :rule eq-symm :args (@t49 @t50)) % 35.96/36.15 (step @p57 :rule cong :premises (@p44 @p56) :args ((=> @t8 @t51))) % 35.96/36.15 (assume-push @p852 @t8) % 35.96/36.15 (step @p59 :rule instantiate :premises (@p3) :args (@t52)) % 35.96/36.15 (step-pop @p853 :rule scope :premises (@p59)) % 35.96/36.15 (step @p60 :rule process_scope :premises (@p853) :args (@t51)) % 35.96/36.15 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 35.96/36.15 (step @p63 :rule implies_elim :premises (@p62)) % 35.96/36.15 (step @p64 :rule chain_m_resolution :premises (@p63 @p3) :args ((= @t50 @t49) @t47 @t48)) % 35.96/36.15 (step @p65 :rule symm :premises (@p53)) % 35.96/36.15 (step @p66 :rule refl :args (@t13)) % 35.96/36.15 (step @p67 :rule cong :premises (@p66 @p65) :args (@t53)) % 35.96/36.15 (step @p68 :rule trans :premises (@p67 @p64 @p55 @p54)) % 35.96/36.15 (step @p69 :rule cong :premises (@p33 @p68) :args (@t54)) % 35.96/36.15 (step @p70 :rule cong :premises (@p66 @p69) :args (@t55)) % 35.96/36.15 (step @p71 :rule symm :premises (@p67)) % 35.96/36.15 (step @p59 :rule instantiate :premises (@p3) :args (@t52)) % 35.96/36.15 (step @p72 :rule instantiate :premises (@p3) :args ((@list @t42 tptp.c3))) % 35.96/36.15 (step @p73 :rule symm :premises (@p72)) % 35.96/36.15 (step @p74 :rule refl :args (@t56)) % 35.96/36.15 (step @p75 :rule cong :premises (@p74 @p65) :args (@t57)) % 35.96/36.15 (step @p76 :rule trans :premises (@p75 @p73 @p59 @p71)) % 35.96/36.15 (step @p77 :rule cong :premises (@p33 @p76) :args (@t58)) % 35.96/36.15 (step @p78 :rule cong :premises (@p66 @p77) :args (@t59)) % 35.96/36.15 (step @p79 :rule trans :premises (@p78 @p70)) % 35.96/36.15 (step @p80 :rule cong :premises (@p79 @p39) :args ((tptp.divide @t59 @t9))) % 35.96/36.15 (step @p81 :rule symm :premises (@p78)) % 35.96/36.15 (step @p82 :rule cong :premises (@p81 @p39) :args ((tptp.divide @t55 @t9))) % 35.96/36.15 (step @p83 :rule instantiate :premises (@p7) :args ((@list @t11 @t13 @t9))) % 35.96/36.15 (step @p84 :rule instantiate :premises (@p7) :args ((@list @t11 @t13 @t53))) % 35.96/36.15 (step @p85 :rule symm :premises (@p84)) % 35.96/36.15 (step @p86 :rule refl :args (@t53)) % 35.96/36.15 (step @p87 :rule symm :premises (@p68)) % 35.96/36.15 (step @p88 :rule symm :premises (@p83)) % 35.96/36.15 (step @p89 :rule symm :premises (@p82)) % 35.96/36.15 (step @p90 :rule symm :premises (@p80)) % 35.96/36.15 (step @p91 :rule trans :premises (@p37 @p90 @p89 @p88)) % 35.96/36.15 (step @p92 :rule trans :premises (@p91 @p40)) % 35.96/36.15 (step @p93 :rule cong :premises (@p92 @p87) :args (@t60)) % 35.96/36.15 (step @p94 :rule trans :premises (@p69 @p93)) % 35.96/36.15 (step @p95 :rule cong :premises (@p66 @p94) :args (@t55)) % 35.96/36.15 (step @p96 :rule instantiate :premises (@p3) :args ((@list @t54 @t11))) % 35.96/36.15 (step @p97 :rule instantiate :premises (@p3) :args ((@list @t54 tptp.a3))) % 35.96/36.15 (step @p98 :rule symm :premises (@p97)) % 35.96/36.15 (step @p99 :rule refl :args (@t42)) % 35.96/36.15 (step @p100 :rule cong :premises (@p40 @p99) :args (@t50)) % 35.96/36.15 (step @p101 :rule trans :premises (@p67 @p100)) % 35.96/36.15 (step @p102 :rule cong :premises (@p33 @p101) :args (@t54)) % 35.96/36.15 (step @p103 :rule cong :premises (@p33 @p102) :args ((tptp.divide @t11 @t54))) % 35.96/36.15 (step @p104 :rule symm :premises (@p103)) % 35.96/36.15 (step @p105 :rule trans :premises (@p104 @p98 @p96 @p95)) % 35.96/36.15 (step @p106 :rule symm :premises (@p91)) % 35.96/36.15 (step @p107 :rule cong :premises (@p106 @p105) :args (@t62)) % 35.96/36.15 (step @p108 :rule instantiate :premises (@p7) :args ((@list @t11 @t62 @t9))) % 35.96/36.15 (step @p109 :rule symm :premises (@p108)) % 35.96/36.15 (step @p110 :rule instantiate :premises (@p7) :args ((@list @t11 @t11 @t42))) % 35.96/36.15 (step @p111 :rule symm :premises (@p110)) % 35.96/36.15 (step @p112 :rule refl :args (@t62)) % 35.96/36.15 (step @p113 :rule cong :premises (@p112 @p65) :args (@t63)) % 35.96/36.15 (step @p114 :rule trans :premises (@p113 @p111)) % 35.96/36.15 (step @p115 :rule cong :premises (@p33 @p114) :args (@t64)) % 35.96/36.15 (step @p116 :rule symm :premises (@p115)) % 35.96/36.15 (step @p117 :rule cong :premises (@p66 @p116) :args (@t65)) % 35.96/36.15 (step @p118 :rule symm :premises (@p117)) % 35.96/36.15 (step @p119 :rule cong :premises (@p118 @p39) :args ((tptp.divide @t66 @t9))) % 35.96/36.15 (step @p120 :rule symm :premises (@p119)) % 35.96/36.15 (step @p121 :rule trans :premises (@p115 @p83 @p82 @p80 @p38)) % 35.96/36.15 (step @p122 :rule cong :premises (@p66 @p121) :args (@t66)) % 35.96/36.15 (step @p123 :rule instantiate :premises (@p7) :args ((@list @t11 @t11 @t17))) % 35.96/36.15 (step @p124 :rule symm :premises (@p123)) % 35.96/36.15 (step @p125 :rule refl :args (@t10)) % 35.96/36.15 (step @p126 :rule cong :premises (@p40 @p125) :args (@t67)) % 35.96/36.15 (step @p127 :rule instantiate :premises (@p3) :args ((@list @t10 @t11))) % 35.96/36.15 (step @p128 :rule instantiate :premises (@p3) :args ((@list @t10 tptp.a3))) % 35.96/36.15 (step @p129 :rule symm :premises (@p128)) % 35.96/36.15 (step @p130 :rule instantiate :premises (@p2) :args ((@list tptp.a3 tptp.b3 tptp.a3))) % 35.96/36.15 (step @p131 :rule symm :premises (@p130)) % 35.96/36.15 (step @p132 :rule instantiate :premises (@p3) :args ((@list tptp.b3 tptp.a3))) % 35.96/36.15 (step @p133 :rule instantiate :premises (@p3) :args ((@list tptp.b3 @t11))) % 35.96/36.15 (step @p134 :rule symm :premises (@p133)) % 35.96/36.15 (step @p135 :rule cong :premises (@p27 @p30) :args (@t15)) % 35.96/36.15 (step @p136 :rule trans :premises (@p135 @p134 @p132)) % 35.96/36.15 (step @p137 :rule refl :args (tptp.a3)) % 35.96/36.15 (step @p138 :rule cong :premises (@p137 @p136) :args (@t16)) % 35.96/36.15 (step @p139 :rule trans :premises (@p138 @p131)) % 35.96/36.15 (step @p140 :rule cong :premises (@p33 @p139) :args (@t17)) % 35.96/36.15 (step @p141 :rule trans :premises (@p140 @p129 @p127 @p126)) % 35.96/36.15 (step @p142 :rule symm :premises (@p141)) % 35.96/36.15 (step @p143 :rule refl :args (@t71)) % 35.96/36.15 (step @p144 :rule cong :premises (@p143 @p142) :args (@t73)) % 35.96/36.15 (step @p145 :rule trans :premises (@p144 @p124)) % 35.96/36.15 (step @p146 :rule cong :premises (@p33 @p145) :args (@t74)) % 35.96/36.15 (step @p147 :rule trans :premises (@p146 @p116)) % 35.96/36.15 (step @p148 :rule cong :premises (@p66 @p147) :args ((tptp.divide @t13 @t74))) % 35.96/36.15 (step @p149 :rule trans :premises (@p148 @p122 @p26 @p24)) % 35.96/36.15 (step @p150 :rule symm :premises (@p148)) % 35.96/36.15 (step @p151 :rule trans :premises (@p117 @p150 @p149)) % 35.96/36.15 (step @p152 :rule cong :premises (@p151 @p39) :args ((tptp.divide @t65 @t9))) % 35.96/36.15 (step @p153 :rule symm :premises (@p152)) % 35.96/36.15 (step @p154 :rule trans :premises (@p34 @p52 @p42 @p153 @p120 @p109 @p107)) % 35.96/36.15 (step @p155 :rule cong :premises (@p66 @p154) :args (@t50)) % 35.96/36.15 (step @p156 :rule symm :premises (@p34)) % 35.96/36.15 (step @p47 :rule instantiate :premises (@p3) :args (@t46)) % 35.96/36.15 (step @p157 :rule symm :premises (@p42)) % 35.96/36.15 (step @p158 :rule trans :premises (@p108 @p119 @p152 @p157 @p47 @p156)) % 35.96/36.15 (step @p159 :rule trans :premises (@p108 @p119 @p152 @p41)) % 35.96/36.15 (step @p160 :rule cong :premises (@p112 @p159) :args (@t75)) % 35.96/36.15 (step @p161 :rule trans :premises (@p160 @p113 @p111 @p37 @p90 @p89 @p88)) % 35.96/36.15 (step @p162 :rule cong :premises (@p161 @p158) :args (@t76)) % 35.96/36.15 (step @p163 :rule trans :premises (@p162 @p155)) % 35.96/36.15 (step @p164 :rule cong :premises (@p163 @p86) :args (@t77)) % 35.96/36.15 (step @p165 :rule trans :premises (@p164 @p85 @p83 @p82 @p80 @p38)) % 35.96/36.15 (step @p166 :rule refl :args (@t79)) % 35.96/36.15 (step @p167 :rule cong :premises (@p166 @p165) :args (@t80)) % 35.96/36.15 (step @p168 :rule symm :premises (@p121)) % 35.96/36.15 (step @p169 :rule cong :premises (@p27 @p168) :args (@t78)) % 35.96/36.15 (step @p170 :rule symm :premises (@p169)) % 35.96/36.15 (step @p171 :rule symm :premises (@p122)) % 35.96/36.15 (step @p172 :rule eq-symm :args (@t81 @t13)) % 35.96/36.15 (step @p173 :rule cong :premises (@p44 @p172) :args ((=> @t8 @t82))) % 35.96/36.15 (assume-push @p854 @t8) % 35.96/36.15 (step-pop @p855 :rule scope :premises (@p24)) % 35.96/36.15 (step @p175 :rule process_scope :premises (@p855) :args (@t82)) % 35.96/36.15 (step @p177 :rule eq_resolve :premises (@p175 @p173)) % 35.96/36.15 (step @p178 :rule implies_elim :premises (@p177)) % 35.96/36.15 (step @p179 :rule chain_m_resolution :premises (@p178 @p3) :args ((= @t13 @t81) @t47 @t48)) % 35.96/36.15 (step @p180 :rule trans :premises (@p164 @p85 @p179 @p25 @p171 @p170)) % 35.96/36.15 (step @p181 :rule cong :premises (@p166 @p180) :args (@t80)) % 35.96/36.15 (step @p182 :rule symm :premises (@p167)) % 35.96/36.15 (step @p183 :rule trans :premises (@p35 @p182 @p181)) % 35.96/36.15 (step @p184 :rule cong :premises (@p106 @p183) :args (@t50)) % 35.96/36.15 (step @p185 :rule symm :premises (@p55)) % 35.96/36.15 (step @p186 :rule symm :premises (@p54)) % 35.96/36.15 (step @p187 :rule trans :premises (@p186 @p185 @p59 @p184)) % 35.96/36.15 (step @p188 :rule cong :premises (@p91 @p187) :args (@t60)) % 35.96/36.15 (step @p189 :rule eq-symm :args (@t83 @t55)) % 35.96/36.15 (step @p190 :rule cong :premises (@p44 @p189) :args ((=> @t8 @t84))) % 35.96/36.15 (assume-push @p856 @t8) % 35.96/36.15 (step-pop @p857 :rule scope :premises (@p96)) % 35.96/36.15 (step @p192 :rule process_scope :premises (@p857) :args (@t84)) % 35.96/36.15 (step @p194 :rule eq_resolve :premises (@p192 @p190)) % 35.96/36.15 (step @p195 :rule implies_elim :premises (@p194)) % 35.96/36.15 (step @p196 :rule chain_m_resolution :premises (@p195 @p3) :args ((= @t55 @t83) @t47 @t48)) % 35.96/36.15 (step @p197 :rule refl :args (@t54)) % 35.96/36.15 (step @p198 :rule cong :premises (@p27 @p197) :args (@t85)) % 35.96/36.15 (step @p199 :rule trans :premises (@p198 @p196 @p97 @p103)) % 35.96/36.15 (step @p200 :rule cong :premises (@p66 @p199) :args (@t86)) % 35.96/36.15 (step @p201 :rule trans :premises (@p200 @p108 @p119 @p152 @p157 @p47 @p156)) % 35.96/36.15 (step @p202 :rule cong :premises (@p91 @p201) :args (@t87)) % 35.96/36.15 (step @p203 :rule trans :premises (@p202 @p64 @p55 @p54)) % 35.96/36.15 (step @p204 :rule cong :premises (@p106 @p203) :args (@t88)) % 35.96/36.15 (step @p205 :rule trans :premises (@p204 @p188)) % 35.96/36.15 (step @p206 :rule instantiate :premises (@p7) :args ((@list @t62 @t79 @t53))) % 35.96/36.15 (step @p207 :rule symm :premises (@p206)) % 35.96/36.15 (step @p208 :rule trans :premises (@p167 @p36 @p34 @p52 @p42 @p41)) % 35.96/36.15 (step @p209 :rule cong :premises (@p112 @p208) :args (@t89)) % 35.96/36.15 (step @p210 :rule trans :premises (@p209 @p113 @p111 @p37 @p90 @p89 @p88 @p116)) % 35.96/36.15 (step @p211 :rule cong :premises (@p161 @p210) :args (@t90)) % 35.96/36.15 (step @p212 :rule trans :premises (@p211 @p122 @p26 @p24)) % 35.96/36.15 (step @p213 :rule trans :premises (@p212 @p106)) % 35.96/36.15 (step @p214 :rule cong :premises (@p213 @p68) :args ((tptp.divide @t90 @t53))) % 35.96/36.15 (step @p215 :rule symm :premises (@p214)) % 35.96/36.15 (step @p216 :rule trans :premises (@p204 @p215 @p207)) % 35.96/36.15 (step @p217 :rule symm :premises (@p216)) % 35.96/36.15 (step @p218 :rule trans :premises (@p217 @p205)) % 35.96/36.15 (step @p219 :rule cong :premises (@p218 @p165) :args (@t80)) % 35.96/36.15 (step @p220 :rule symm :premises (@p219)) % 35.96/36.15 (step @p221 :rule instantiate :premises (@p7) :args ((@list @t11 @t79 @t11))) % 35.96/36.15 (step @p222 :rule trans :premises (@p69 @p215 @p207 @p221 @p220 @p167 @p36 @p34)) % 35.96/36.15 (step @p223 :rule instantiate :premises (@p7) :args ((@list @t98 tptp.a3 @t94))) % 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35.96/36.15 (step @p664 :rule cong :premises (@p27 @p663) :args (@t196)) % 35.96/36.16 (step @p665 :rule trans :premises (@p664 @p662 @p294 @p654)) % 35.96/36.16 (step @p666 :rule cong :premises (@p66 @p665) :args (@t197)) % 35.96/36.16 (step @p667 :rule trans :premises (@p666 @p229 @p527 @p653 @p128 @p652)) % 35.96/36.16 (step @p668 :rule cong :premises (@p91 @p667) :args (@t198)) % 35.96/36.16 (step @p669 :rule cong :premises (@p106 @p668) :args ((tptp.divide @t13 @t198))) % 35.96/36.16 (step @p670 :rule trans :premises (@p669 @p651 @p650)) % 35.96/36.16 (step @p671 :rule symm :premises (@p641)) % 35.96/36.16 (step @p672 :rule trans :premises (@p669 @p651 @p671)) % 35.96/36.16 (step @p673 :rule symm :premises (@p672)) % 35.96/36.16 (step @p674 :rule trans :premises (@p673 @p670)) % 35.96/36.16 (step @p675 :rule cong :premises (@p674 @p33) :args (@t193)) % 35.96/36.16 (step @p676 :rule trans :premises (@p646 @p675 @p643 @p641 @p624 @p289 @p622)) % 35.96/36.16 (step @p677 :rule cong :premises (@p106 @p676) :args (@t99)) % 35.96/36.16 (step @p678 :rule trans :premises (@p328 @p327 @p325 @p306 @p677 @p299 @p295 @p293)) % 35.96/36.16 (step @p679 :rule instantiate :premises (@p7) :args ((@list @t11 @t71 tptp.a3))) % 35.96/36.16 (step @p680 :rule symm :premises (@p679)) % 35.96/36.16 (step @p681 :rule cong :premises (@p233 @p458) :args (@t22)) % 35.96/36.16 (step @p682 :rule symm :premises (@p638)) % 35.96/36.16 (step @p683 :rule cong :premises (@p682 @p681) :args (@t101)) % 35.96/36.16 (step @p684 :rule symm :premises (@p281)) % 35.96/36.16 (step @p685 :rule trans :premises (@p240 @p279 @p684 @p683)) % 35.96/36.16 (step @p686 :rule cong :premises (@p66 @p685) :args (@t199)) % 35.96/36.16 (step @p687 :rule instantiate :premises (@p3) :args ((@list tptp.b3 tptp.b3))) % 35.96/36.16 (step @p688 :rule symm :premises (@p687)) % 35.96/36.16 (step @p689 :rule trans :premises (@p688 @p133 @p686)) % 35.96/36.16 (step @p690 :rule cong :premises (@p689 @p137) :args (@t159)) % 35.96/36.16 (step @p691 :rule trans :premises (@p196 @p97 @p103)) % 35.96/36.16 (step @p692 :rule cong :premises (@p562 @p691) :args ((tptp.divide @t169 @t55))) % 35.96/36.16 (step @p693 :rule symm :premises (@p69)) % 35.96/36.16 (step @p694 :rule trans :premises (@p35 @p182 @p219 @p445 @p206 @p214 @p693 @p102)) % 35.96/36.16 (step @p695 :rule cong :premises (@p106 @p694) :args (@t50)) % 35.96/36.16 (step @p696 :rule symm :premises (@p275)) % 35.96/36.16 (step @p697 :rule trans :premises (@p696 @p448 @p442 @p167 @p36)) % 35.96/36.16 (step @p698 :rule cong :premises (@p161 @p697) :args ((tptp.divide @t75 (tptp.divide @t62 (tptp.divide @t101 @t100))))) % 35.96/36.16 (step @p699 :rule refl :args (@t109)) % 35.96/36.16 (step @p700 :rule instantiate :premises (@p7) :args ((@list @t11 @t13 @t112))) % 35.96/36.16 (step @p701 :rule symm :premises (@p700)) % 35.96/36.16 (step @p702 :rule refl :args (@t112)) % 35.96/36.16 (step @p703 :rule symm :premises (@p244)) % 35.96/36.16 (step @p704 :rule instantiate :premises (@p7) :args ((@list @t9 @t106 @t108))) % 35.96/36.16 (step @p705 :rule symm :premises (@p704)) % 35.96/36.16 (step @p706 :rule trans :premises (@p532 @p329)) % 35.96/36.16 (step @p707 :rule cong :premises (@p706 @p702) :args (@t200)) % 35.96/36.16 (step @p708 :rule trans :premises (@p707 @p701 @p179 @p25 @p171 @p451 @p450 @p449)) % 35.96/36.16 (step @p709 :rule refl :args (@t202)) % 35.96/36.16 (step @p710 :rule cong :premises (@p709 @p708) :args (@t203)) % 35.96/36.16 (step @p711 :rule trans :premises (@p710 @p705 @p703 @p113 @p111 @p635)) % 35.96/36.16 (step @p712 :rule cong :premises (@p526 @p711) :args (@t204)) % 35.96/36.16 (step @p713 :rule trans :premises (@p530 @p283)) % 35.96/36.16 (step @p714 :rule cong :premises (@p713 @p712) :args (@t205)) % 35.96/36.16 (step @p715 :rule trans :premises (@p714 @p634 @p633 @p524 @p523)) % 35.96/36.16 (step @p716 :rule trans :premises (@p715 @p329)) % 35.96/36.16 (step @p717 :rule cong :premises (@p716 @p702) :args ((tptp.divide @t205 @t112))) % 35.96/36.16 (step @p718 :rule instantiate :premises (@p7) :args ((@list @t71 @t202 @t112))) % 35.96/36.16 (step @p719 :rule refl :args (@t108)) % 35.96/36.16 (step @p720 :rule instantiate :premises (@p3) :args ((@list @t9 @t9))) % 35.96/36.16 (step @p721 :rule trans :premises (@p108 @p119 @p152 @p157 @p720)) % 35.96/36.16 (step @p722 :rule trans :premises (@p274 @p721)) % 35.96/36.16 (step @p723 :rule cong :premises (@p722 @p719) :args (@t109)) % 35.96/36.16 (step @p724 :rule cong :premises (@p314 @p723) :args (@t110)) % 35.96/36.16 (step @p725 :rule trans :premises (@p27 @p246)) % 35.96/36.16 (step @p726 :rule cong :premises (@p725 @p699) :args (@t206)) % 35.96/36.16 (step @p727 :rule trans :premises (@p726 @p724)) % 35.96/36.16 (step @p728 :rule cong :premises (@p39 @p727) :args (@t207)) % 35.96/36.16 (step @p729 :rule instantiate :premises (@p7) :args ((@list @t11 @t151 @t31))) % 35.96/36.16 (step @p730 :rule symm :premises (@p729)) % 35.96/36.16 (step @p731 :rule trans :premises (@p512 @p511 @p730)) % 35.96/36.16 (step @p732 :rule trans :premises (@p91 @p731)) % 35.96/36.16 (step @p733 :rule cong :premises (@p732 @p728) :args (@t208)) % 35.96/36.16 (step @p734 :rule trans :premises (@p733 @p718 @p717 @p701 @p116)) % 35.96/36.16 (step @p735 :rule cong :premises (@p66 @p734) :args (@t209)) % 35.96/36.16 (step @p736 :rule trans :premises (@p735 @p122 @p26 @p24)) % 35.96/36.16 (step @p737 :rule trans :premises (@p736 @p246)) % 35.96/36.16 (step @p738 :rule cong :premises (@p737 @p699) :args ((tptp.divide @t209 @t109))) % 35.96/36.16 (step @p739 :rule instantiate :premises (@p7) :args ((@list @t11 @t9 @t109))) % 35.96/36.16 (step @p740 :rule refl :args (@t12)) % 35.96/36.16 (step @p741 :rule symm :premises (@p683)) % 35.96/36.16 (step @p742 :rule symm :premises (@p457)) % 35.96/36.16 (step @p743 :rule trans :premises (@p333 @p742)) % 35.96/36.16 (step @p744 :rule symm :premises (@p646)) % 35.96/36.16 (step @p745 :rule symm :premises (@p675)) % 35.96/36.16 (step @p746 :rule cong :premises (@p27 @p225) :args (@t210)) % 35.96/36.16 (step @p747 :rule trans :premises (@p746 @p516 @p224)) % 35.96/36.16 (step @p748 :rule instantiate :premises (@p7) :args ((@list @t9 @t106 @t211))) % 35.96/36.16 (step @p749 :rule symm :premises (@p748)) % 35.96/36.16 (step @p750 :rule cong :premises (@p106 @p270) :args (@t199)) % 35.96/36.16 (step @p751 :rule trans :premises (@p135 @p750)) % 35.96/36.16 (step @p752 :rule refl :args (@t212)) % 35.96/36.16 (step @p753 :rule cong :premises (@p752 @p751) :args (@t213)) % 35.96/36.16 (step @p754 :rule trans :premises (@p753 @p749 @p703 @p113 @p111 @p37 @p90 @p89 @p88 @p116)) % 35.96/36.16 (step @p755 :rule cong :premises (@p91 @p754) :args (@t214)) % 35.96/36.16 (step @p756 :rule trans :premises (@p755 @p122 @p26 @p24 @p116)) % 35.96/36.16 (step @p757 :rule cong :premises (@p66 @p756) :args (@t215)) % 35.96/36.16 (step @p758 :rule trans :premises (@p757 @p122 @p26 @p24)) % 35.96/36.16 (step @p759 :rule cong :premises (@p758 @p30) :args ((tptp.divide @t215 tptp.b3))) % 35.96/36.16 (step @p760 :rule instantiate :premises (@p7) :args ((@list @t11 @t212 tptp.b3))) % 35.96/36.16 (step @p761 :rule trans :premises (@p760 @p759 @p134 @p687)) % 35.96/36.16 (step @p762 :rule cong :premises (@p761 @p747) :args (@t216)) % 35.96/36.16 (step @p763 :rule trans :premises (@p762 @p690 @p680 @p229 @p527 @p653 @p128 @p652)) % 35.96/36.16 (step @p764 :rule cong :premises (@p91 @p763) :args (@t217)) % 35.96/36.16 (step @p765 :rule trans :premises (@p764 @p287)) % 35.96/36.16 (step @p766 :rule cong :premises (@p66 @p765) :args (@t218)) % 35.96/36.16 (step @p767 :rule trans :premises (@p766 @p671 @p642 @p745 @p744 @p140 @p129 @p127 @p232 @p230)) % 35.96/36.16 (step @p768 :rule trans :premises (@p767 @p526)) % 35.96/36.16 (step @p769 :rule cong :premises (@p768 @p743) :args ((tptp.divide @t218 @t94))) % 35.96/36.16 (step @p770 :rule instantiate :premises (@p7) :args ((@list @t11 @t212 @t94))) % 35.96/36.16 (step @p771 :rule symm :premises (@p760)) % 35.96/36.16 (step @p772 :rule symm :premises (@p759)) % 35.96/36.16 (step @p773 :rule cong :premises (@p91 @p286) :args (@t24)) % 35.96/36.16 (step @p774 :rule trans :premises (@p773 @p772 @p771 @p770 @p769 @p681)) % 35.96/36.16 (step @p775 :rule cong :premises (@p33 @p774) :args (@t25)) % 35.96/36.16 (step @p776 :rule symm :premises (@p773)) % 35.96/36.16 (step @p777 :rule symm :premises (@p770)) % 35.96/36.16 (step @p778 :rule symm :premises (@p769)) % 35.96/36.16 (step @p779 :rule refl :args (@t21)) % 35.96/36.16 (step @p780 :rule instantiate :premises (@p7) :args ((@list @t10 @t11 @t17))) % 35.96/36.16 (step @p781 :rule symm :premises (@p780)) % 35.96/36.16 (step @p782 :rule refl :args (@t221)) % 35.96/36.16 (step @p783 :rule cong :premises (@p782 @p142) :args (@t222)) % 35.96/36.16 (step @p784 :rule trans :premises (@p783 @p781 @p37 @p90 @p89 @p88 @p116)) % 35.96/36.16 (step @p785 :rule cong :premises (@p91 @p784) :args (@t223)) % 35.96/36.16 (step @p786 :rule trans :premises (@p785 @p122 @p26 @p24 @p116)) % 35.96/36.16 (step @p787 :rule cong :premises (@p66 @p786) :args (@t224)) % 35.96/36.16 (step @p788 :rule trans :premises (@p787 @p122 @p26 @p24)) % 35.96/36.16 (step @p789 :rule cong :premises (@p788 @p125) :args ((tptp.divide @t224 @t10))) % 35.96/36.16 (step @p790 :rule instantiate :premises (@p7) :args ((@list @t11 @t221 @t10))) % 35.96/36.16 (step @p791 :rule refl :args (@t220)) % 35.96/36.16 (step @p792 :rule trans :premises (@p512 @p511 @p609 @p606)) % 35.96/36.16 (step @p793 :rule trans :premises (@p27 @p792)) % 35.96/36.16 (step @p794 :rule cong :premises (@p793 @p791) :args ((tptp.divide @t14 @t220))) % 35.96/36.16 (step @p795 :rule instantiate :premises (@p3) :args ((@list @t10 @t10))) % 35.96/36.16 (step @p796 :rule trans :premises (@p229 @p527 @p653 @p795)) % 35.96/36.16 (step @p797 :rule cong :premises (@p796 @p142) :args (@t73)) % 35.96/36.16 (step @p798 :rule trans :premises (@p115 @p83 @p82 @p80 @p38 @p123 @p467 @p797)) % 35.96/36.16 (step @p799 :rule cong :premises (@p106 @p798) :args (@t66)) % 35.96/36.16 (step @p800 :rule trans :premises (@p171 @p799)) % 35.96/36.16 (step @p801 :rule cong :premises (@p125 @p800) :args ((tptp.divide @t10 @t14))) % 35.96/36.16 (step @p802 :rule instantiate :premises (@p7) :args ((@list @t11 @t11 @t22))) % 35.96/36.16 (step @p803 :rule symm :premises (@p802)) % 35.96/36.16 (step @p804 :rule symm :premises (@p796)) % 35.96/36.16 (step @p805 :rule trans :premises (@p804 @p526)) % 35.96/36.16 (step @p806 :rule cong :premises (@p805 @p779) :args (@t225)) % 35.96/36.16 (step @p807 :rule refl :args (@t26)) % 35.96/36.16 (step @p808 :rule cong :premises (@p807 @p806) :args (@t226)) % 35.96/36.16 (step @p809 :rule trans :premises (@p808 @p803 @p37 @p90 @p89 @p88 @p179 @p25)) % 35.96/36.16 (step @p810 :rule cong :premises (@p125 @p809) :args (@t227)) % 35.96/36.16 (step @p811 :rule trans :premises (@p810 @p801)) % 35.96/36.16 (step @p812 :rule symm :premises (@p793)) % 35.96/36.16 (step @p813 :rule cong :premises (@p812 @p811) :args (@t228)) % 35.96/36.16 (step @p814 :rule trans :premises (@p813 @p794 @p790 @p789 @p232 @p230)) % 35.96/36.16 (step @p815 :rule trans :premises (@p814 @p526)) % 35.96/36.16 (step @p816 :rule cong :premises (@p815 @p779) :args ((tptp.divide @t228 @t21))) % 35.96/36.16 (step @p817 :rule instantiate :premises (@p7) :args ((@list @t10 @t26 @t21))) % 35.96/36.16 (step @p818 :rule trans :premises (@p817 @p816 @p778 @p777 @p760 @p759 @p776)) % 35.96/36.16 (step @p819 :rule symm :premises (@p135)) % 35.96/36.16 (step @p820 :rule trans :premises (@p817 @p816 @p778 @p777 @p760 @p759 @p819)) % 35.96/36.16 (step @p821 :rule symm :premises (@p761)) % 35.96/36.16 (step @p822 :rule trans :premises (@p817 @p816 @p778 @p777 @p760 @p759 @p134 @p687)) % 35.96/36.16 (step @p823 :rule trans :premises (@p822 @p821)) % 35.96/36.16 (step @p824 :rule cong :premises (@p823 @p820) :args (@t27)) % 35.96/36.16 (step @p825 :rule trans :premises (@p824 @p753 @p749 @p703 @p113 @p111 @p37 @p90 @p89 @p88)) % 35.96/36.16 (step @p826 :rule trans :premises (@p825 @p106)) % 35.96/36.16 (step @p827 :rule cong :premises (@p826 @p818) :args (@t28)) % 35.96/36.16 (step @p828 :rule trans :premises (@p827 @p775 @p741 @p281 @p280 @p241)) % 35.96/36.16 (step @p829 :rule cong :premises (@p828 @p740) :args (@t29)) % 35.96/36.16 (step @p830 :rule trans :premises (@p829 @p19 @p739 @p738 @p278 @p698 @p695 @p104 @p98 @p96)) % 35.96/36.16 (step @p831 :rule cong :premises (@p360 @p830) :args (@t34)) % 35.96/36.16 (step @p832 :rule trans :premises (@p831 @p692 @p336)) % 35.96/36.16 (step @p833 :rule cong :premises (@p822 @p832) :args (@t35)) % 35.96/36.16 (step @p834 :rule trans :premises (@p833 @p690 @p680 @p229 @p527 @p653 @p128 @p652)) % 35.96/36.16 (step @p835 :rule cong :premises (@p825 @p834) :args (@t36)) % 35.96/36.16 (step @p836 :rule trans :premises (@p835 @p305 @p525 @p524 @p523)) % 35.96/36.16 (step @p837 :rule trans :premises (@p836 @p678 @p621)) % 35.96/36.16 (step @p838 :rule cong :premises (@p837 @p575) :args (@t37)) % 35.96/36.16 (step @p839 :rule trans :premises (@p838 @p574 @p573)) % 35.96/36.16 (step @p840 :rule cong :premises (@p839 @p571) :args (@t39)) % 35.96/36.16 (step @p841 :rule trans :premises (@p840 @p15)) % 35.96/36.16 (step @p842 :rule eq_resolve :premises (@p841 @p14)) % 35.96/36.16 (step @p843 :rule false_elim :premises (@p842)) % 35.96/36.16 (assume-push @p866 @t229) % 35.96/36.16 (step @p845 :rule instantiate :premises (@p7) :args ((@list @t26 @t33 @t12))) % 35.96/36.16 (step-pop @p867 :rule scope :premises (@p845)) % 35.96/36.16 (step @p846 :rule process_scope :premises (@p867) :args (@t38)) % 35.96/36.16 (step @p848 :rule implies_elim :premises (@p846)) % 35.96/36.16 (step @p849 false :rule chain_m_resolution :premises (@p848 @p843 @p7) :args (false (@list true false) (@list @t38 @t229))) % 35.96/36.16 ) % 35.96/36.16 % SZS output end Proof % 35.96/36.16 % cvc5 exiting %------------------------------------------------------------------------------