%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP456-1 : 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 : n009.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 0.51s 0.78s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP456-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.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 01:08:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.78 % SZS status Unsatisfiable % 0.51/0.78 % SZS output start Proof % 0.61/0.80 ( % 0.61/0.80 (declare-sort $$unsorted 0) % 0.61/0.80 (declare-const tptp.a3 $$unsorted) % 0.61/0.80 (declare-const tptp.c3 $$unsorted) % 0.61/0.80 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.61/0.80 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.80 (declare-const tptp.identity $$unsorted) % 0.61/0.80 (declare-const tptp.b3 $$unsorted) % 0.61/0.80 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.61/0.80 (define @t1 () (@var "B" $$unsorted)) % 0.61/0.80 (define @t2 () (@var "C" $$unsorted)) % 0.61/0.80 (define @t3 () (@var "A" $$unsorted)) % 0.61/0.80 (define @t4 () (tptp.divide @t3 @t3)) % 0.61/0.80 (define @t5 () (tptp.divide (tptp.divide tptp.identity (tptp.divide @t3 (tptp.divide @t1 (tptp.divide (tptp.divide @t4 @t3) @t2)))) @t2)) % 0.61/0.80 (define @t6 () (forall (@list @t3 @t1 @t2) (= @t5 @t1))) % 0.61/0.80 (define @t7 () (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide tptp.identity @t1))))) % 0.61/0.80 (define @t8 () (@list @t3)) % 0.61/0.80 (define @t9 () (tptp.multiply tptp.b3 tptp.c3)) % 0.61/0.80 (define @t10 () (tptp.multiply tptp.a3 @t9)) % 0.61/0.80 (define @t11 () (tptp.multiply tptp.a3 tptp.b3)) % 0.61/0.80 (define @t12 () (tptp.multiply @t11 tptp.c3)) % 0.61/0.80 (define @t13 () (= @t12 @t10)) % 0.61/0.80 (define @t14 () (tptp.divide tptp.identity tptp.identity)) % 0.61/0.80 (define @t15 () (tptp.divide @t14 tptp.identity)) % 0.61/0.80 (define @t16 () (tptp.divide @t15 tptp.identity)) % 0.61/0.80 (define @t17 () (tptp.divide tptp.identity @t16)) % 0.61/0.80 (define @t18 () (tptp.divide tptp.identity @t17)) % 0.61/0.80 (define @t19 () (tptp.divide @t18 @t18)) % 0.61/0.80 (define @t20 () (tptp.divide @t19 @t18)) % 0.61/0.80 (define @t21 () (tptp.divide @t20 tptp.b3)) % 0.61/0.80 (define @t22 () (tptp.divide tptp.a3 @t21)) % 0.61/0.80 (define @t23 () (tptp.divide @t18 @t22)) % 0.61/0.80 (define @t24 () (tptp.divide @t15 @t9)) % 0.61/0.80 (define @t25 () (tptp.divide tptp.a3 @t24)) % 0.61/0.80 (define @t26 () (tptp.divide tptp.identity @t25)) % 0.61/0.80 (define @t27 () (tptp.divide @t15 @t25)) % 0.61/0.80 (define @t28 () (tptp.divide tptp.identity @t27)) % 0.61/0.80 (define @t29 () (tptp.divide @t15 tptp.c3)) % 0.61/0.80 (define @t30 () (tptp.divide tptp.identity (tptp.divide tptp.b3 @t29))) % 0.61/0.80 (define @t31 () (tptp.divide tptp.identity @t24)) % 0.61/0.80 (define @t32 () (tptp.divide @t11 @t29)) % 0.61/0.80 (define @t33 () (tptp.divide tptp.identity @t32)) % 0.61/0.80 (define @t34 () (tptp.divide @t15 @t32)) % 0.61/0.80 (define @t35 () (tptp.divide tptp.identity @t34)) % 0.61/0.80 (define @t36 () (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide @t15 @t23)))) % 0.61/0.80 (define @t37 () (tptp.divide tptp.identity @t36)) % 0.61/0.80 (define @t38 () (tptp.divide tptp.identity @t28)) % 0.61/0.80 (define @t39 () (tptp.divide @t15 @t26)) % 0.61/0.80 (define @t40 () (tptp.divide tptp.identity (tptp.divide tptp.identity @t39))) % 0.61/0.80 (define @t41 () (tptp.divide tptp.identity @t40)) % 0.61/0.80 (define @t42 () (tptp.divide tptp.identity @t31)) % 0.61/0.80 (define @t43 () (tptp.divide @t15 @t30)) % 0.61/0.80 (define @t44 () (tptp.divide tptp.identity (tptp.divide tptp.identity @t43))) % 0.61/0.80 (define @t45 () (tptp.divide tptp.identity @t44)) % 0.61/0.80 (define @t46 () (tptp.divide tptp.identity @t35)) % 0.61/0.80 (define @t47 () (tptp.divide @t15 @t33)) % 0.61/0.80 (define @t48 () (tptp.divide tptp.identity (tptp.divide tptp.identity @t47))) % 0.61/0.80 (define @t49 () (tptp.divide tptp.identity @t48)) % 0.61/0.80 (define @t50 () (tptp.divide @t15 @t22)) % 0.61/0.80 (define @t51 () (tptp.divide tptp.identity @t50)) % 0.61/0.80 (define @t52 () (tptp.divide tptp.identity @t51)) % 0.61/0.80 (define @t53 () (tptp.divide tptp.identity @t52)) % 0.61/0.80 (define @t54 () (tptp.divide tptp.identity (tptp.divide (tptp.divide (tptp.divide @t45 @t45) @t45) tptp.c3))) % 0.61/0.80 (define @t55 () (tptp.divide @t15 @t44)) % 0.61/0.80 (define @t56 () (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.a3 @t55)))) % 0.61/0.80 (define @t57 () (tptp.divide @t46 @t46)) % 0.61/0.80 (define @t58 () (tptp.divide @t57 @t46)) % 0.61/0.80 (define @t59 () (tptp.divide @t58 @t48)) % 0.61/0.80 (define @t60 () (tptp.divide @t46 (tptp.divide tptp.identity @t59))) % 0.61/0.80 (define @t61 () (tptp.divide tptp.identity @t60)) % 0.61/0.80 (define @t62 () (tptp.divide (tptp.divide (tptp.divide @t33 @t33) @t33) tptp.c3)) % 0.61/0.80 (define @t63 () (tptp.divide @t18 @t62)) % 0.61/0.80 (define @t64 () (tptp.divide @t30 @t30)) % 0.61/0.80 (define @t65 () (tptp.divide @t64 @t30)) % 0.61/0.80 (define @t66 () (tptp.divide @t65 tptp.c3)) % 0.61/0.80 (define @t67 () (tptp.divide tptp.identity @t23)) % 0.61/0.80 (define @t68 () (tptp.divide @t67 @t66)) % 0.61/0.80 (define @t69 () (tptp.divide @t35 @t35)) % 0.61/0.80 (define @t70 () (tptp.divide @t69 @t35)) % 0.61/0.80 (define @t71 () (tptp.divide @t70 @t46)) % 0.61/0.80 (define @t72 () (tptp.divide tptp.identity (tptp.divide @t35 (tptp.divide tptp.identity @t71)))) % 0.61/0.80 (define @t73 () (tptp.divide @t45 @t54)) % 0.61/0.80 (define @t74 () (tptp.divide @t15 tptp.b3)) % 0.61/0.80 (define @t75 () (tptp.divide @t45 @t74)) % 0.61/0.80 (define @t76 () (tptp.divide tptp.identity @t75)) % 0.61/0.80 (define @t77 () (tptp.divide tptp.identity @t76)) % 0.61/0.80 (define @t78 () (tptp.divide @t44 @t44)) % 0.61/0.80 (define @t79 () (tptp.divide @t78 @t44)) % 0.61/0.80 (define @t80 () (tptp.divide @t79 @t54)) % 0.61/0.80 (define @t81 () (tptp.divide tptp.identity @t80)) % 0.61/0.80 (define @t82 () (tptp.divide @t44 @t81)) % 0.61/0.80 (define @t83 () (tptp.divide tptp.identity @t82)) % 0.61/0.80 (define @t84 () (tptp.divide @t15 @t42)) % 0.61/0.80 (define @t85 () (tptp.divide @t56 @t84)) % 0.61/0.80 (define @t86 () (tptp.divide tptp.identity (tptp.divide tptp.identity @t85))) % 0.61/0.80 (define @t87 () (tptp.divide @t33 @t63)) % 0.61/0.80 (define @t88 () (tptp.divide @t33 @t50)) % 0.61/0.80 (define @t89 () (tptp.divide tptp.identity @t88)) % 0.61/0.80 (define @t90 () (tptp.divide tptp.identity @t89)) % 0.61/0.80 (define @t91 () (tptp.divide @t48 @t48)) % 0.61/0.80 (define @t92 () (tptp.divide @t91 @t48)) % 0.61/0.80 (define @t93 () (tptp.divide @t92 @t63)) % 0.61/0.80 (define @t94 () (tptp.divide tptp.identity @t93)) % 0.61/0.80 (define @t95 () (tptp.divide tptp.identity (tptp.divide @t48 @t94))) % 0.61/0.80 (define @t96 () (tptp.divide @t26 @t26)) % 0.61/0.80 (define @t97 () (tptp.divide @t96 @t26)) % 0.61/0.80 (define @t98 () (tptp.divide @t97 @t44)) % 0.61/0.80 (define @t99 () (tptp.divide @t30 @t98)) % 0.61/0.80 (define @t100 () (tptp.divide @t26 @t99)) % 0.61/0.80 (define @t101 () (tptp.divide tptp.identity @t100)) % 0.61/0.80 (define @t102 () (tptp.divide @t30 @t68)) % 0.61/0.80 (define @t103 () (tptp.divide @t79 @t68)) % 0.61/0.80 (define @t104 () (tptp.divide tptp.identity @t103)) % 0.61/0.80 (define @t105 () (tptp.divide @t44 @t104)) % 0.61/0.80 (define @t106 () (tptp.divide tptp.identity @t105)) % 0.61/0.80 (define @t107 () (tptp.multiply @t86 @t31)) % 0.61/0.80 (define @t108 () (tptp.divide @t86 @t42)) % 0.61/0.80 (define @t109 () (= @t107 @t108)) % 0.61/0.80 (define @t110 () (= @t108 @t107)) % 0.61/0.80 (define @t111 () (tptp.divide tptp.identity tptp.c3)) % 0.61/0.80 (define @t112 () (tptp.divide tptp.identity @t46)) % 0.61/0.80 (define @t113 () (tptp.divide @t15 @t73)) % 0.61/0.80 (define @t114 () (tptp.divide tptp.identity (tptp.divide @t44 @t113))) % 0.61/0.80 (define @t115 () (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity @t55)))) % 0.61/0.80 (define @t116 () (tptp.divide @t42 @t42)) % 0.61/0.80 (define @t117 () (tptp.divide @t116 @t42)) % 0.61/0.80 (define @t118 () (tptp.divide tptp.identity (tptp.divide @t42 (tptp.divide tptp.identity (tptp.divide @t117 @t44))))) % 0.61/0.80 (define @t119 () (tptp.divide tptp.identity @t113)) % 0.61/0.80 (define @t120 () (tptp.divide tptp.identity @t119)) % 0.61/0.80 (define @t121 () (tptp.divide tptp.identity @t120)) % 0.61/0.80 (define @t122 () (tptp.divide @t117 @t81)) % 0.61/0.80 (define @t123 () (tptp.divide tptp.identity @t122)) % 0.61/0.80 (define @t124 () (tptp.divide @t42 @t123)) % 0.61/0.80 (define @t125 () (tptp.divide tptp.identity @t124)) % 0.61/0.80 (define @t126 () (tptp.divide tptp.identity @t98)) % 0.61/0.80 (define @t127 () (tptp.divide @t26 @t126)) % 0.61/0.80 (define @t128 () (tptp.divide tptp.identity @t127)) % 0.61/0.80 (define @t129 () (tptp.divide @t15 @t85)) % 0.61/0.80 (define @t130 () (tptp.divide tptp.identity @t129)) % 0.61/0.80 (define @t131 () (tptp.divide tptp.identity @t130)) % 0.61/0.80 (define @t132 () (tptp.divide tptp.identity @t131)) % 0.61/0.80 (define @t133 () (tptp.divide @t15 @t31)) % 0.61/0.80 (define @t134 () (tptp.divide @t86 @t133)) % 0.61/0.80 (define @t135 () (tptp.divide tptp.identity (tptp.divide tptp.identity @t134))) % 0.61/0.80 (define @t136 () (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide @t15 @t87))))) % 0.61/0.80 (define @t137 () (tptp.divide tptp.identity (tptp.divide @t44 (tptp.divide @t26 @t103)))) % 0.61/0.80 (define @t138 () (tptp.divide @t15 @t102)) % 0.61/0.80 (define @t139 () (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide @t44 @t138)))) % 0.61/0.80 (define @t140 () (tptp.divide @t117 @t104)) % 0.61/0.80 (define @t141 () (tptp.divide tptp.identity (tptp.divide @t42 (tptp.divide tptp.identity @t140)))) % 0.61/0.80 (define @t142 () (tptp.divide tptp.identity (tptp.divide @t89 (tptp.divide tptp.identity (tptp.divide (tptp.divide (tptp.divide @t89 @t89) @t89) tptp.b3))))) % 0.61/0.80 (define @t143 () (tptp.divide tptp.identity (tptp.divide (tptp.divide (tptp.divide @t23 @t23) @t23) @t87))) % 0.61/0.80 (define @t144 () (tptp.divide tptp.identity (tptp.divide @t23 @t143))) % 0.61/0.80 (define @t145 () (tptp.divide tptp.identity (tptp.divide @t52 (tptp.divide @t112 (tptp.divide (tptp.divide (tptp.divide @t52 @t52) @t52) @t111))))) % 0.61/0.80 (define @t146 () (tptp.divide (tptp.divide (tptp.divide @t114 @t114) @t114) @t73)) % 0.61/0.80 (define @t147 () (tptp.divide tptp.identity (tptp.divide @t114 (tptp.divide tptp.identity @t146)))) % 0.61/0.80 (define @t148 () (tptp.divide tptp.identity (tptp.divide @t114 (tptp.divide @t56 @t146)))) % 0.61/0.80 (define @t149 () (tptp.divide tptp.identity tptp.b3)) % 0.61/0.80 (define @t150 () (tptp.divide tptp.a3 @t149)) % 0.61/0.80 (define @t151 () (= @t11 @t150)) % 0.61/0.80 (define @t152 () (tptp.divide tptp.identity @t9)) % 0.61/0.80 (define @t153 () (tptp.divide tptp.a3 @t152)) % 0.61/0.80 (define @t154 () (= @t10 @t153)) % 0.61/0.80 (define @t155 () (tptp.divide tptp.b3 @t111)) % 0.61/0.80 (define @t156 () (= @t9 @t155)) % 0.61/0.80 (define @t157 () (tptp.divide @t11 @t111)) % 0.61/0.80 (define @t158 () (= @t12 @t157)) % 0.61/0.80 (define @t159 () (= tptp.identity @t14)) % 0.61/0.80 (define @t160 () (tptp.divide @t67 tptp.b3)) % 0.61/0.80 (define @t161 () (= tptp.a3 @t160)) % 0.61/0.80 (define @t162 () (tptp.divide tptp.identity @t30)) % 0.61/0.80 (define @t163 () (tptp.divide @t162 tptp.c3)) % 0.61/0.80 (define @t164 () (= tptp.b3 @t163)) % 0.61/0.80 (define @t165 () (tptp.divide tptp.identity @t33)) % 0.61/0.80 (define @t166 () (tptp.divide @t165 tptp.c3)) % 0.61/0.80 (define @t167 () (= @t11 @t166)) % 0.61/0.80 (define @t168 () (tptp.divide @t53 @t22)) % 0.61/0.80 (define @t169 () (= tptp.identity @t168)) % 0.61/0.80 (define @t170 () (= tptp.identity (tptp.divide @t37 @t23))) % 0.61/0.80 (define @t171 () (= tptp.identity (tptp.divide @t41 @t26))) % 0.61/0.80 (define @t172 () (tptp.divide @t15 @t28)) % 0.61/0.80 (define @t173 () (tptp.divide tptp.identity @t172)) % 0.61/0.80 (define @t174 () (tptp.divide tptp.identity @t173)) % 0.61/0.80 (define @t175 () (tptp.divide tptp.identity @t174)) % 0.61/0.80 (define @t176 () (tptp.divide @t175 @t28)) % 0.61/0.80 (define @t177 () (= tptp.identity @t176)) % 0.61/0.80 (define @t178 () (= tptp.identity (tptp.divide @t45 @t30))) % 0.61/0.80 (define @t179 () (tptp.divide tptp.identity @t133)) % 0.61/0.80 (define @t180 () (tptp.divide tptp.identity @t179)) % 0.61/0.80 (define @t181 () (tptp.divide tptp.identity @t180)) % 0.61/0.80 (define @t182 () (= tptp.identity (tptp.divide @t181 @t31))) % 0.61/0.80 (define @t183 () (= tptp.identity (tptp.divide @t49 @t33))) % 0.61/0.80 (define @t184 () (tptp.divide @t15 @t35)) % 0.61/0.80 (define @t185 () (tptp.divide tptp.identity @t184)) % 0.61/0.80 (define @t186 () (tptp.divide tptp.identity @t185)) % 0.61/0.80 (define @t187 () (tptp.divide tptp.identity @t186)) % 0.61/0.80 (define @t188 () (= tptp.identity (tptp.divide @t187 @t35))) % 0.61/0.80 (define @t189 () (tptp.divide @t37 @t50)) % 0.61/0.80 (define @t190 () (tptp.divide tptp.identity @t189)) % 0.61/0.80 (define @t191 () (tptp.divide tptp.identity @t190)) % 0.61/0.80 (define @t192 () (tptp.divide @t191 @t22)) % 0.61/0.80 (define @t193 () (= @t37 @t192)) % 0.61/0.80 (define @t194 () (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide @t15 @t36)))) @t36))) % 0.61/0.80 (define @t195 () (tptp.divide @t15 @t38)) % 0.61/0.80 (define @t196 () (tptp.divide tptp.identity @t195)) % 0.61/0.80 (define @t197 () (tptp.divide tptp.identity @t196)) % 0.61/0.80 (define @t198 () (tptp.divide tptp.identity @t197)) % 0.61/0.80 (define @t199 () (= tptp.identity (tptp.divide @t198 @t38))) % 0.61/0.80 (define @t200 () (tptp.divide @t41 @t27)) % 0.61/0.80 (define @t201 () (tptp.divide tptp.identity @t200)) % 0.61/0.80 (define @t202 () (tptp.divide tptp.identity @t201)) % 0.61/0.80 (define @t203 () (tptp.divide @t202 @t25)) % 0.61/0.80 (define @t204 () (= @t41 @t203)) % 0.61/0.80 (define @t205 () (tptp.divide @t15 @t40)) % 0.61/0.80 (define @t206 () (tptp.divide tptp.identity @t205)) % 0.61/0.80 (define @t207 () (tptp.divide tptp.identity @t206)) % 0.61/0.80 (define @t208 () (tptp.divide tptp.identity @t207)) % 0.61/0.80 (define @t209 () (= tptp.identity (tptp.divide @t208 @t40))) % 0.61/0.80 (define @t210 () (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity @t84)))) % 0.61/0.80 (define @t211 () (= tptp.identity (tptp.divide @t210 @t42))) % 0.61/0.80 (define @t212 () (tptp.divide @t45 @t24)) % 0.61/0.80 (define @t213 () (tptp.divide tptp.identity @t212)) % 0.61/0.80 (define @t214 () (tptp.divide tptp.identity @t213)) % 0.61/0.80 (define @t215 () (tptp.divide @t214 @t9)) % 0.61/0.80 (define @t216 () (= @t45 @t215)) % 0.61/0.80 (define @t217 () (tptp.divide @t115 @t44)) % 0.61/0.80 (define @t218 () (= tptp.identity @t217)) % 0.61/0.80 (define @t219 () (tptp.divide @t15 @t46)) % 0.61/0.80 (define @t220 () (tptp.divide tptp.identity @t219)) % 0.61/0.80 (define @t221 () (tptp.divide tptp.identity @t220)) % 0.61/0.80 (define @t222 () (tptp.divide tptp.identity @t221)) % 0.61/0.80 (define @t223 () (tptp.divide @t222 @t46)) % 0.61/0.80 (define @t224 () (= tptp.identity @t223)) % 0.61/0.81 (define @t225 () (tptp.divide @t49 @t34)) % 0.61/0.81 (define @t226 () (tptp.divide tptp.identity @t225)) % 0.61/0.81 (define @t227 () (tptp.divide tptp.identity @t226)) % 0.61/0.81 (define @t228 () (tptp.divide @t227 @t32)) % 0.61/0.81 (define @t229 () (= @t49 @t228)) % 0.61/0.81 (define @t230 () (tptp.divide @t15 @t48)) % 0.61/0.81 (define @t231 () (tptp.divide tptp.identity @t230)) % 0.61/0.81 (define @t232 () (tptp.divide tptp.identity @t231)) % 0.61/0.81 (define @t233 () (tptp.divide tptp.identity @t232)) % 0.61/0.81 (define @t234 () (tptp.divide @t233 @t48)) % 0.61/0.81 (define @t235 () (= tptp.identity @t234)) % 0.61/0.81 (define @t236 () (tptp.divide @t56 @t44)) % 0.61/0.81 (define @t237 () (= tptp.a3 @t236)) % 0.61/0.81 (define @t238 () (= tptp.identity (tptp.divide @t61 @t48))) % 0.61/0.81 (define @t239 () (tptp.divide @t53 @t62)) % 0.61/0.81 (define @t240 () (= @t53 (tptp.divide (tptp.divide tptp.identity (tptp.divide @t33 @t239)) tptp.c3))) % 0.61/0.81 (define @t241 () (tptp.divide tptp.a3 @t45)) % 0.61/0.81 (define @t242 () (= (tptp.multiply tptp.a3 @t44) @t241)) % 0.61/0.81 (define @t243 () (= tptp.identity (tptp.divide @t72 @t46))) % 0.61/0.81 (define @t244 () (tptp.divide @t77 tptp.b3)) % 0.61/0.81 (define @t245 () (= @t45 @t244)) % 0.61/0.81 (define @t246 () (= tptp.identity (tptp.divide @t83 @t54))) % 0.61/0.81 (define @t247 () (= @t56 @t108)) % 0.61/0.81 (define @t248 () (tptp.divide @t46 @t59)) % 0.61/0.81 (define @t249 () (tptp.divide @t46 @t248)) % 0.61/0.81 (define @t250 () (tptp.divide tptp.identity @t249)) % 0.61/0.81 (define @t251 () (tptp.divide @t250 @t48)) % 0.61/0.81 (define @t252 () (= @t46 @t251)) % 0.61/0.81 (define @t253 () (tptp.divide @t61 @t219)) % 0.61/0.81 (define @t254 () (tptp.divide tptp.identity @t253)) % 0.61/0.81 (define @t255 () (tptp.divide tptp.identity @t254)) % 0.61/0.81 (define @t256 () (tptp.divide @t255 @t46)) % 0.61/0.81 (define @t257 () (= @t61 @t256)) % 0.61/0.81 (define @t258 () (tptp.divide @t90 @t22)) % 0.61/0.81 (define @t259 () (= @t33 @t258)) % 0.61/0.81 (define @t260 () (= tptp.identity (tptp.divide @t95 @t63))) % 0.61/0.81 (define @t261 () (= @t30 (tptp.divide @t101 @t44))) % 0.61/0.81 (define @t262 () (tptp.divide @t106 @t68)) % 0.61/0.81 (define @t263 () (= tptp.identity @t262)) % 0.61/0.81 (define @t264 () (tptp.divide tptp.identity (tptp.divide @t46 (tptp.divide @t33 @t59)))) % 0.61/0.81 (define @t265 () (= @t33 (tptp.divide @t264 @t48))) % 0.61/0.81 (define @t266 () (tptp.divide tptp.identity @t42)) % 0.61/0.81 (define @t267 () (tptp.divide @t56 @t266)) % 0.61/0.81 (define @t268 () (= (tptp.multiply @t56 @t42) @t267)) % 0.61/0.81 (define @t269 () (= tptp.identity (tptp.divide @t118 @t44))) % 0.61/0.81 (define @t270 () (tptp.divide @t15 @t60)) % 0.61/0.81 (define @t271 () (= tptp.identity (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide tptp.identity @t270))) @t60))) % 0.61/0.81 (define @t272 () (tptp.divide @t72 @t184)) % 0.61/0.81 (define @t273 () (tptp.divide tptp.identity @t272)) % 0.61/0.81 (define @t274 () (tptp.divide tptp.identity @t273)) % 0.61/0.81 (define @t275 () (tptp.divide @t274 @t35)) % 0.61/0.81 (define @t276 () (= @t72 @t275)) % 0.61/0.81 (define @t277 () (= tptp.identity (tptp.divide @t121 @t73))) % 0.61/0.81 (define @t278 () (tptp.divide @t77 @t66)) % 0.61/0.81 (define @t279 () (tptp.divide @t30 @t278)) % 0.61/0.81 (define @t280 () (tptp.divide tptp.identity @t279)) % 0.61/0.81 (define @t281 () (tptp.divide @t280 tptp.c3)) % 0.61/0.81 (define @t282 () (= @t77 @t281)) % 0.61/0.81 (define @t283 () (tptp.divide tptp.identity @t114)) % 0.61/0.81 (define @t284 () (tptp.divide @t283 @t73)) % 0.61/0.81 (define @t285 () (= @t44 @t284)) % 0.61/0.81 (define @t286 () (tptp.divide @t125 @t81)) % 0.61/0.81 (define @t287 () (= tptp.identity @t286)) % 0.61/0.81 (define @t288 () (tptp.divide @t83 @t74)) % 0.61/0.81 (define @t289 () (tptp.divide tptp.identity @t288)) % 0.61/0.81 (define @t290 () (tptp.divide tptp.identity @t289)) % 0.61/0.81 (define @t291 () (tptp.divide @t290 tptp.b3)) % 0.61/0.81 (define @t292 () (= @t83 @t291)) % 0.61/0.81 (define @t293 () (tptp.divide @t128 @t44)) % 0.61/0.81 (define @t294 () (= tptp.identity @t293)) % 0.61/0.81 (define @t295 () (= tptp.identity (tptp.divide @t132 @t85))) % 0.61/0.81 (define @t296 () (tptp.divide @t135 @t31)) % 0.61/0.81 (define @t297 () (= @t86 @t296)) % 0.61/0.81 (define @t298 () (= tptp.identity (tptp.divide @t136 @t87))) % 0.61/0.81 (define @t299 () (= @t90 (tptp.divide (tptp.divide tptp.identity (tptp.divide @t33 (tptp.divide @t90 @t62))) tptp.c3))) % 0.61/0.81 (define @t300 () (tptp.divide @t58 @t94)) % 0.61/0.81 (define @t301 () (tptp.divide tptp.identity @t300)) % 0.61/0.81 (define @t302 () (tptp.divide @t46 @t301)) % 0.61/0.81 (define @t303 () (tptp.divide tptp.identity @t302)) % 0.61/0.81 (define @t304 () (tptp.divide @t303 @t94)) % 0.61/0.81 (define @t305 () (= tptp.identity @t304)) % 0.61/0.81 (define @t306 () (tptp.divide @t95 @t50)) % 0.61/0.81 (define @t307 () (tptp.divide tptp.identity @t306)) % 0.61/0.81 (define @t308 () (tptp.divide tptp.identity @t307)) % 0.61/0.81 (define @t309 () (tptp.divide @t308 @t22)) % 0.61/0.81 (define @t310 () (= @t95 @t309)) % 0.61/0.81 (define @t311 () (= @t26 (tptp.divide @t137 @t68))) % 0.61/0.81 (define @t312 () (tptp.divide @t40 @t40)) % 0.61/0.81 (define @t313 () (tptp.divide @t312 @t40)) % 0.61/0.81 (define @t314 () (tptp.divide @t313 @t99)) % 0.61/0.81 (define @t315 () (tptp.divide tptp.identity (tptp.divide @t40 (tptp.divide tptp.identity @t314)))) % 0.61/0.81 (define @t316 () (= tptp.identity (tptp.divide @t315 @t99))) % 0.61/0.81 (define @t317 () (tptp.divide @t101 @t84)) % 0.61/0.81 (define @t318 () (tptp.divide tptp.identity @t317)) % 0.61/0.81 (define @t319 () (tptp.divide tptp.identity @t318)) % 0.61/0.81 (define @t320 () (tptp.divide @t319 @t42)) % 0.61/0.81 (define @t321 () (= @t101 @t320)) % 0.61/0.81 (define @t322 () (= @t44 (tptp.divide @t139 @t102))) % 0.61/0.81 (define @t323 () (= tptp.identity (tptp.divide @t141 @t104))) % 0.61/0.81 (define @t324 () (= @t106 (tptp.divide (tptp.divide tptp.identity (tptp.divide @t26 (tptp.divide @t106 @t98))) @t44))) % 0.61/0.81 (define @t325 () (tptp.divide @t15 @t89)) % 0.61/0.81 (define @t326 () (tptp.divide tptp.b3 @t325)) % 0.61/0.81 (define @t327 () (tptp.divide tptp.identity @t326)) % 0.61/0.81 (define @t328 () (tptp.divide tptp.identity @t327)) % 0.61/0.81 (define @t329 () (tptp.divide @t328 @t89)) % 0.61/0.81 (define @t330 () (= tptp.b3 @t329)) % 0.61/0.81 (define @t331 () (= tptp.identity (tptp.divide @t142 tptp.b3))) % 0.61/0.81 (define @t332 () (= tptp.identity (tptp.divide @t144 @t87))) % 0.61/0.81 (define @t333 () (tptp.divide @t145 @t111)) % 0.61/0.81 (define @t334 () (= @t112 @t333)) % 0.61/0.81 (define @t335 () (= tptp.identity (tptp.divide @t147 @t73))) % 0.61/0.81 (define @t336 () (tptp.divide @t115 @t146)) % 0.61/0.81 (define @t337 () (tptp.divide @t114 @t336)) % 0.61/0.81 (define @t338 () (tptp.divide tptp.identity @t337)) % 0.61/0.81 (define @t339 () (tptp.divide @t338 @t73)) % 0.61/0.81 (define @t340 () (= @t115 @t339)) % 0.61/0.81 (define @t341 () (= @t56 (tptp.divide @t148 @t73))) % 0.61/0.81 (define @t342 () (tptp.divide @t15 @t100)) % 0.61/0.81 (define @t343 () (tptp.divide @t42 @t342)) % 0.61/0.81 (define @t344 () (tptp.divide tptp.identity @t343)) % 0.61/0.81 (define @t345 () (tptp.divide tptp.identity @t344)) % 0.61/0.81 (define @t346 () (tptp.divide @t345 @t100)) % 0.61/0.81 (define @t347 () (= @t42 @t346)) % 0.61/0.81 (define @t348 () (tptp.divide @t118 @t146)) % 0.61/0.81 (define @t349 () (tptp.divide @t114 @t348)) % 0.61/0.81 (define @t350 () (tptp.divide tptp.identity @t349)) % 0.61/0.81 (define @t351 () (tptp.divide @t350 @t73)) % 0.61/0.81 (define @t352 () (= @t118 @t351)) % 0.61/0.81 (define @t353 () (tptp.divide @t121 @t80)) % 0.61/0.81 (define @t354 () (tptp.divide @t44 @t353)) % 0.61/0.81 (define @t355 () (= @t121 (tptp.divide (tptp.divide tptp.identity @t354) @t54))) % 0.61/0.81 (define @t356 () (= @t42 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide @t42 @t74))) tptp.b3))) % 0.61/0.81 (define @t357 () (= @t125 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide @t125 @t113))) @t73))) % 0.61/0.81 (define @t358 () (= @t26 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide @t26 @t129))) @t85))) % 0.61/0.81 (define @t359 () (tptp.divide @t313 @t126)) % 0.61/0.81 (define @t360 () (tptp.divide tptp.identity @t359)) % 0.61/0.81 (define @t361 () (tptp.divide @t40 @t360)) % 0.61/0.81 (define @t362 () (tptp.divide tptp.identity @t361)) % 0.61/0.81 (define @t363 () (tptp.divide @t362 @t126)) % 0.61/0.81 (define @t364 () (= tptp.identity @t363)) % 0.61/0.81 (define @t365 () (= @t128 (tptp.divide (tptp.divide tptp.identity (tptp.divide @t114 (tptp.divide @t128 @t146))) @t73))) % 0.61/0.81 (define @t366 () (tptp.divide @t15 @t130)) % 0.61/0.81 (define @t367 () (tptp.divide tptp.identity @t366)) % 0.61/0.81 (define @t368 () (tptp.divide tptp.identity @t367)) % 0.61/0.81 (define @t369 () (tptp.divide tptp.identity @t368)) % 0.61/0.81 (define @t370 () (= tptp.identity (tptp.divide @t369 @t130))) % 0.61/0.81 (define @t371 () (tptp.divide @t132 @t98)) % 0.61/0.81 (define @t372 () (tptp.divide @t26 @t371)) % 0.61/0.81 (define @t373 () (tptp.divide tptp.identity @t372)) % 0.61/0.81 (define @t374 () (tptp.divide @t373 @t44)) % 0.61/0.81 (define @t375 () (= @t132 @t374)) % 0.61/0.81 (define @t376 () (tptp.divide @t135 @t43)) % 0.61/0.81 (define @t377 () (tptp.divide tptp.identity @t376)) % 0.61/0.81 (define @t378 () (tptp.divide tptp.identity @t377)) % 0.61/0.81 (define @t379 () (tptp.divide @t378 @t30)) % 0.61/0.81 (define @t380 () (= @t135 @t379)) % 0.61/0.81 (define @t381 () (tptp.divide @t70 @t63)) % 0.61/0.81 (define @t382 () (tptp.divide @t136 @t381)) % 0.61/0.81 (define @t383 () (tptp.divide @t35 @t382)) % 0.61/0.81 (define @t384 () (tptp.divide tptp.identity @t383)) % 0.61/0.81 (define @t385 () (tptp.divide @t384 @t63)) % 0.61/0.81 (define @t386 () (= @t136 @t385)) % 0.61/0.81 (define @t387 () (tptp.divide @t137 @t98)) % 0.61/0.81 (define @t388 () (tptp.divide @t26 @t387)) % 0.61/0.81 (define @t389 () (tptp.divide tptp.identity @t388)) % 0.61/0.81 (define @t390 () (tptp.divide @t389 @t44)) % 0.61/0.81 (define @t391 () (= @t137 @t390)) % 0.61/0.81 (define @t392 () (tptp.divide @t139 @t103)) % 0.61/0.81 (define @t393 () (tptp.divide @t44 @t392)) % 0.61/0.81 (define @t394 () (tptp.divide tptp.identity @t393)) % 0.61/0.81 (define @t395 () (tptp.divide @t394 @t68)) % 0.61/0.81 (define @t396 () (= @t139 @t395)) % 0.61/0.81 (define @t397 () (tptp.divide @t15 @t105)) % 0.61/0.81 (define @t398 () (tptp.divide @t42 @t397)) % 0.61/0.81 (define @t399 () (tptp.divide tptp.identity @t398)) % 0.61/0.81 (define @t400 () (tptp.divide tptp.identity @t399)) % 0.61/0.81 (define @t401 () (tptp.divide @t400 @t105)) % 0.61/0.81 (define @t402 () (= @t42 @t401)) % 0.61/0.81 (define @t403 () (tptp.divide @t141 @t138)) % 0.61/0.81 (define @t404 () (tptp.divide tptp.identity @t403)) % 0.61/0.81 (define @t405 () (tptp.divide tptp.identity @t404)) % 0.61/0.81 (define @t406 () (tptp.divide @t405 @t102)) % 0.61/0.81 (define @t407 () (= @t141 @t406)) % 0.61/0.81 (define @t408 () (tptp.multiply @t135 @t30)) % 0.61/0.81 (define @t409 () (= @t408 (tptp.divide @t135 @t162))) % 0.61/0.81 (define @t410 () (tptp.divide (tptp.divide @t28 @t28) @t28)) % 0.61/0.81 (define @t411 () (= @t86 (tptp.divide (tptp.divide tptp.identity (tptp.divide @t28 (tptp.divide @t86 (tptp.divide @t410 @t105)))) @t105))) % 0.61/0.81 (define @t412 () (tptp.divide @t130 @t130)) % 0.61/0.81 (define @t413 () (tptp.divide @t412 @t130)) % 0.61/0.81 (define @t414 () (= @t42 (tptp.divide (tptp.divide tptp.identity (tptp.divide @t130 (tptp.divide @t42 (tptp.divide @t413 @t126)))) @t126))) % 0.61/0.81 (define @t415 () (tptp.divide @t15 @t127)) % 0.61/0.81 (define @t416 () (tptp.divide @t89 @t415)) % 0.61/0.81 (define @t417 () (tptp.divide tptp.identity @t416)) % 0.61/0.81 (define @t418 () (tptp.divide tptp.identity @t417)) % 0.61/0.81 (define @t419 () (tptp.divide @t418 @t127)) % 0.61/0.81 (define @t420 () (= @t89 @t419)) % 0.61/0.81 (define @t421 () (tptp.divide @t142 @t66)) % 0.61/0.81 (define @t422 () (tptp.divide @t30 @t421)) % 0.61/0.81 (define @t423 () (tptp.divide tptp.identity @t422)) % 0.61/0.81 (define @t424 () (tptp.divide @t423 tptp.c3)) % 0.61/0.81 (define @t425 () (= @t142 @t424)) % 0.61/0.81 (define @t426 () (tptp.divide @t31 @t31)) % 0.61/0.81 (define @t427 () (tptp.divide @t426 @t31)) % 0.61/0.81 (define @t428 () (tptp.divide @t427 @t54)) % 0.61/0.81 (define @t429 () (tptp.divide @t144 @t428)) % 0.61/0.81 (define @t430 () (tptp.divide @t31 @t429)) % 0.61/0.81 (define @t431 () (tptp.divide tptp.identity @t430)) % 0.61/0.81 (define @t432 () (tptp.divide @t431 @t54)) % 0.61/0.81 (define @t433 () (= @t144 @t432)) % 0.61/0.81 (define @t434 () (tptp.divide @t145 @t29)) % 0.61/0.81 (define @t435 () (tptp.divide tptp.identity @t434)) % 0.61/0.81 (define @t436 () (tptp.divide tptp.identity @t435)) % 0.61/0.81 (define @t437 () (tptp.divide @t436 tptp.c3)) % 0.61/0.81 (define @t438 () (= @t145 @t437)) % 0.61/0.81 (define @t439 () (tptp.divide @t147 @t428)) % 0.61/0.81 (define @t440 () (tptp.divide @t31 @t439)) % 0.61/0.81 (define @t441 () (tptp.divide tptp.identity @t440)) % 0.61/0.81 (define @t442 () (tptp.divide @t441 @t54)) % 0.61/0.81 (define @t443 () (= @t147 @t442)) % 0.61/0.81 (define @t444 () (tptp.divide @t148 @t428)) % 0.61/0.81 (define @t445 () (= @t148 (tptp.divide (tptp.divide tptp.identity (tptp.divide @t31 @t444)) @t54))) % 0.61/0.81 (define @t446 () (tptp.divide @t45 @t152)) % 0.61/0.81 (define @t447 () (tptp.divide tptp.identity @t73)) % 0.61/0.81 (define @t448 () (tptp.divide tptp.identity @t38)) % 0.61/0.81 (define @t449 () (tptp.divide @t175 @t39)) % 0.61/0.81 (define @t450 () (tptp.divide tptp.identity @t397)) % 0.61/0.81 (define @t451 () (tptp.divide @t70 @t248)) % 0.61/0.81 (define @t452 () (tptp.divide tptp.identity @t87)) % 0.61/0.81 (define @t453 () (tptp.divide @t315 @t103)) % 0.61/0.81 (define @t454 () (tptp.divide @t44 @t453)) % 0.61/0.81 (define @t455 () (tptp.divide @t92 @t239)) % 0.61/0.81 (define @t456 () (tptp.divide @t264 @t270)) % 0.61/0.81 (define @t457 () (tptp.divide tptp.identity @t456)) % 0.61/0.81 (define @t458 () (tptp.divide @t15 @t51)) % 0.61/0.81 (define @t459 () (tptp.divide tptp.identity @t458)) % 0.61/0.81 (define @t460 () (tptp.divide tptp.identity @t459)) % 0.61/0.81 (define @t461 () (tptp.divide @t15 @t52)) % 0.61/0.81 (define @t462 () (tptp.divide tptp.identity @t461)) % 0.61/0.81 (define @t463 () (tptp.divide tptp.identity @t462)) % 0.61/0.81 (define @t464 () (tptp.divide @t22 @t22)) % 0.61/0.81 (define @t465 () (tptp.divide @t464 @t22)) % 0.61/0.81 (define @t466 () (tptp.divide @t465 @t143)) % 0.61/0.81 (define @t467 () (tptp.divide tptp.identity @t466)) % 0.61/0.81 (define @t468 () (tptp.divide @t38 @t38)) % 0.61/0.81 (define @t469 () (tptp.divide @t468 @t38)) % 0.61/0.81 (define @t470 () (tptp.divide @t469 @t31)) % 0.61/0.81 (define @t471 () (tptp.divide tptp.identity @t470)) % 0.61/0.81 (define @t472 () (tptp.divide @t15 @t131)) % 0.61/0.81 (define @t473 () (tptp.divide @t42 @t472)) % 0.61/0.81 (define @t474 () (tptp.divide tptp.identity @t473)) % 0.61/0.81 (define @t475 () (and @t151 @t154 @t156 @t158 @t159 @t161 @t164 @t167 @t169 @t170 @t171 @t177 @t178 @t182 @t183 @t188 @t193 @t194 @t199 @t204 @t209 @t211 @t216 @t218 @t224 @t229 @t235 @t237 @t238 @t240 @t242 @t243 @t245 @t246 @t247 @t252 @t257 @t259 @t260 @t261 @t263 @t265 @t268 @t269 @t271 @t276 @t277 @t282 @t285 @t287 @t292 @t294 @t295 @t297 @t298 @t299 @t305 @t310 @t311 @t316 @t321 @t322 @t323 @t324 @t110 @t330 @t331 @t332 @t334 @t335 @t340 @t341 @t347 @t352 @t355 @t356 @t357 @t358 @t364 @t365 @t370 @t375 @t380 @t386 @t391 @t396 @t402 @t407 @t409 @t411 @t414 @t420 @t425 @t433 @t438 @t443 @t445)) % 0.61/0.81 (assume @p1 @t6) % 0.61/0.81 (assume @p2 @t7) % 0.61/0.81 (assume @p3 (forall @t8 (= (tptp.inverse @t3) (tptp.divide tptp.identity @t3)))) % 0.61/0.81 (assume @p4 (forall @t8 (= tptp.identity @t4))) % 0.61/0.81 (assume @p5 (not @t13)) % 0.61/0.81 (step @p6 :rule instantiate :premises (@p2) :args ((@list tptp.a3 tptp.b3))) % 0.61/0.81 (step @p7 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t9))) % 0.61/0.81 (step @p8 :rule instantiate :premises (@p2) :args ((@list tptp.b3 tptp.c3))) % 0.61/0.81 (step @p9 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.c3))) % 0.61/0.81 (step @p10 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 0.61/0.81 (step @p11 :rule eq-symm :args (@t5 @t1)) % 0.61/0.81 (step @p12 :rule cong :premises (@p11) :args (@t6)) % 0.61/0.81 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.61/0.81 (step @p14 :rule instantiate :premises (@p13) :args ((@list @t18 tptp.a3 tptp.b3))) % 0.61/0.81 (step @p15 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.b3 tptp.c3))) % 0.61/0.81 (step @p16 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t11 tptp.c3))) % 0.61/0.81 (step @p17 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t22))) % 0.61/0.81 (step @p18 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t23))) % 0.61/0.81 (step @p19 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t26))) % 0.61/0.81 (step @p20 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t28))) % 0.61/0.81 (step @p21 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t30))) % 0.61/0.81 (step @p22 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t31))) % 0.61/0.81 (step @p23 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t33))) % 0.61/0.81 (step @p24 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t35))) % 0.61/0.81 (step @p25 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t37 @t22))) % 0.61/0.81 (step @p26 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t36))) % 0.61/0.81 (step @p27 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t38))) % 0.61/0.81 (step @p28 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t41 @t25))) % 0.61/0.81 (step @p29 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t40))) % 0.61/0.81 (step @p30 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t42))) % 0.61/0.81 (step @p31 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t45 @t9))) % 0.61/0.81 (step @p32 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t44))) % 0.61/0.81 (step @p33 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t46))) % 0.61/0.81 (step @p34 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t49 @t32))) % 0.61/0.81 (step @p35 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t48))) % 0.61/0.81 (step @p36 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.a3 @t44))) % 0.61/0.81 (step @p37 :rule instantiate :premises (@p13) :args ((@list @t46 tptp.identity @t48))) % 0.61/0.81 (step @p38 :rule instantiate :premises (@p13) :args ((@list @t33 @t53 tptp.c3))) % 0.61/0.81 (step @p39 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t44))) % 0.61/0.81 (step @p40 :rule instantiate :premises (@p13) :args ((@list @t35 tptp.identity @t46))) % 0.61/0.81 (step @p41 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t45 tptp.b3))) % 0.61/0.81 (step @p42 :rule instantiate :premises (@p13) :args ((@list @t44 tptp.identity @t54))) % 0.61/0.81 (step @p43 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t56 @t42))) % 0.61/0.81 (step @p44 :rule instantiate :premises (@p13) :args ((@list @t46 @t46 @t48))) % 0.61/0.81 (step @p45 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t61 @t46))) % 0.61/0.81 (step @p46 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t33 @t22))) % 0.61/0.81 (step @p47 :rule instantiate :premises (@p13) :args ((@list @t48 tptp.identity @t63))) % 0.61/0.81 (step @p48 :rule instantiate :premises (@p13) :args ((@list @t26 @t30 @t44))) % 0.61/0.81 (step @p49 :rule instantiate :premises (@p13) :args ((@list @t44 tptp.identity @t68))) % 0.61/0.81 (step @p50 :rule instantiate :premises (@p13) :args ((@list @t46 @t33 @t48))) % 0.61/0.81 (step @p51 :rule instantiate :premises (@p2) :args ((@list @t56 @t42))) % 0.61/0.81 (step @p52 :rule instantiate :premises (@p13) :args ((@list @t42 tptp.identity @t44))) % 0.61/0.81 (step @p53 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t60))) % 0.61/0.81 (step @p54 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t72 @t35))) % 0.61/0.81 (step @p55 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t73))) % 0.61/0.81 (step @p56 :rule instantiate :premises (@p13) :args ((@list @t30 @t77 tptp.c3))) % 0.61/0.81 (step @p57 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t44 @t73))) % 0.61/0.81 (step @p58 :rule instantiate :premises (@p13) :args ((@list @t42 tptp.identity @t81))) % 0.61/0.81 (step @p59 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t83 tptp.b3))) % 0.61/0.81 (step @p60 :rule instantiate :premises (@p13) :args ((@list @t26 tptp.identity @t44))) % 0.61/0.81 (step @p61 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t85))) % 0.61/0.81 (step @p62 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t86 @t31))) % 0.61/0.81 (step @p63 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t87))) % 0.61/0.81 (step @p64 :rule instantiate :premises (@p13) :args ((@list @t33 @t90 tptp.c3))) % 0.61/0.81 (step @p65 :rule instantiate :premises (@p13) :args ((@list @t46 tptp.identity @t94))) % 0.61/0.81 (step @p66 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t95 @t22))) % 0.61/0.81 (step @p67 :rule instantiate :premises (@p13) :args ((@list @t44 @t26 @t68))) % 0.61/0.81 (step @p68 :rule instantiate :premises (@p13) :args ((@list @t40 tptp.identity @t99))) % 0.61/0.81 (step @p69 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t101 @t42))) % 0.61/0.81 (step @p70 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t44 @t102))) % 0.61/0.81 (step @p71 :rule instantiate :premises (@p13) :args ((@list @t42 tptp.identity @t104))) % 0.61/0.81 (step @p72 :rule instantiate :premises (@p13) :args ((@list @t26 @t106 @t44))) % 0.61/0.81 (step @p73 :rule eq-symm :args (@t107 @t108)) % 0.61/0.81 (step @p74 :rule refl :args (@t7)) % 0.61/0.81 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t7 @t109))) % 0.61/0.81 (assume-push @p1326 @t7) % 0.61/0.81 (step @p77 :rule instantiate :premises (@p2) :args ((@list @t86 @t31))) % 0.61/0.81 (step-pop @p1327 :rule scope :premises (@p77)) % 0.61/0.81 (step @p78 :rule process_scope :premises (@p1327) :args (@t109)) % 0.61/0.81 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.61/0.81 (step @p81 :rule implies_elim :premises (@p80)) % 0.61/0.81 (step @p82 :rule chain_m_resolution :premises (@p81 @p2) :args (@t110 (@list false) (@list @t7))) % 0.61/0.81 (step @p83 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.b3 @t89))) % 0.61/0.81 (step @p84 :rule instantiate :premises (@p13) :args ((@list @t89 tptp.identity tptp.b3))) % 0.61/0.81 (step @p85 :rule instantiate :premises (@p13) :args ((@list @t23 tptp.identity @t87))) % 0.61/0.81 (step @p86 :rule instantiate :premises (@p13) :args ((@list @t52 @t112 @t111))) % 0.61/0.81 (step @p87 :rule instantiate :premises (@p13) :args ((@list @t114 tptp.identity @t73))) % 0.61/0.81 (step @p88 :rule instantiate :premises (@p13) :args ((@list @t114 @t115 @t73))) % 0.61/0.81 (step @p89 :rule instantiate :premises (@p13) :args ((@list @t114 @t56 @t73))) % 0.61/0.81 (step @p90 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t42 @t100))) % 0.61/0.81 (step @p91 :rule instantiate :premises (@p13) :args ((@list @t114 @t118 @t73))) % 0.61/0.81 (step @p92 :rule instantiate :premises (@p13) :args ((@list @t44 @t121 @t54))) % 0.61/0.81 (step @p93 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t42 tptp.b3))) % 0.61/0.81 (step @p94 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t125 @t73))) % 0.61/0.81 (step @p95 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t26 @t85))) % 0.61/0.81 (step @p96 :rule instantiate :premises (@p13) :args ((@list @t40 tptp.identity @t126))) % 0.61/0.81 (step @p97 :rule instantiate :premises (@p13) :args ((@list @t114 @t128 @t73))) % 0.61/0.81 (step @p98 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t130))) % 0.61/0.81 (step @p99 :rule instantiate :premises (@p13) :args ((@list @t26 @t132 @t44))) % 0.61/0.81 (step @p100 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t135 @t30))) % 0.61/0.81 (step @p101 :rule instantiate :premises (@p13) :args ((@list @t35 @t136 @t63))) % 0.61/0.81 (step @p102 :rule instantiate :premises (@p13) :args ((@list @t26 @t137 @t44))) % 0.61/0.81 (step @p103 :rule instantiate :premises (@p13) :args ((@list @t44 @t139 @t68))) % 0.61/0.81 (step @p104 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t42 @t105))) % 0.61/0.81 (step @p105 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t141 @t102))) % 0.61/0.81 (step @p106 :rule instantiate :premises (@p2) :args ((@list @t135 @t30))) % 0.61/0.81 (step @p107 :rule instantiate :premises (@p13) :args ((@list @t28 @t86 @t105))) % 0.61/0.81 (step @p108 :rule instantiate :premises (@p13) :args ((@list @t130 @t42 @t126))) % 0.61/0.81 (step @p109 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t89 @t127))) % 0.61/0.81 (step @p110 :rule instantiate :premises (@p13) :args ((@list @t30 @t142 tptp.c3))) % 0.61/0.81 (step @p111 :rule instantiate :premises (@p13) :args ((@list @t31 @t144 @t54))) % 0.61/0.81 (step @p112 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t145 tptp.c3))) % 0.61/0.81 (step @p113 :rule instantiate :premises (@p13) :args ((@list @t31 @t147 @t54))) % 0.61/0.81 (step @p114 :rule instantiate :premises (@p13) :args ((@list @t31 @t148 @t54))) % 0.61/0.81 (assume-push @p1328 @t151) % 0.61/0.81 (assume-push @p1329 @t154) % 0.61/0.81 (assume-push @p1330 @t156) % 0.61/0.81 (assume-push @p1331 @t158) % 0.61/0.81 (assume-push @p1332 @t159) % 0.61/0.81 (assume-push @p1333 @t161) % 0.61/0.81 (assume-push @p1334 @t164) % 0.61/0.81 (assume-push @p1335 @t167) % 0.61/0.81 (assume-push @p1336 @t169) % 0.61/0.81 (assume-push @p1337 @t170) % 0.61/0.81 (assume-push @p1338 @t171) % 0.61/0.81 (assume-push @p1339 @t177) % 0.61/0.81 (assume-push @p1340 @t178) % 0.61/0.81 (assume-push @p1341 @t182) % 0.61/0.81 (assume-push @p1342 @t183) % 0.61/0.81 (assume-push @p1343 @t188) % 0.61/0.81 (assume-push @p1344 @t193) % 0.61/0.81 (assume-push @p1345 @t194) % 0.61/0.81 (assume-push @p1346 @t199) % 0.61/0.81 (assume-push @p1347 @t204) % 0.61/0.81 (assume-push @p1348 @t209) % 0.61/0.81 (assume-push @p1349 @t211) % 0.61/0.81 (assume-push @p1350 @t216) % 0.61/0.81 (assume-push @p1351 @t218) % 0.61/0.81 (assume-push @p1352 @t224) % 0.61/0.81 (assume-push @p1353 @t229) % 0.61/0.81 (assume-push @p1354 @t235) % 0.61/0.81 (assume-push @p1355 @t237) % 0.61/0.81 (assume-push @p1356 @t238) % 0.61/0.81 (assume-push @p1357 @t240) % 0.61/0.81 (assume-push @p1358 @t242) % 0.61/0.81 (assume-push @p1359 @t243) % 0.61/0.81 (assume-push @p1360 @t245) % 0.61/0.81 (assume-push @p1361 @t246) % 0.61/0.81 (assume-push @p1362 @t247) % 0.61/0.81 (assume-push @p1363 @t252) % 0.61/0.81 (assume-push 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@t341) (not @t347) (not @t352) (not @t355) (not @t356) (not @t357) (not @t358) (not @t364) (not @t365) (not @t370) (not @t375) (not @t380) (not @t386) (not @t391) (not @t396) (not @t402) (not @t407) (not @t409) (not @t411) (not @t414) (not @t420) (not @t425) (not @t433) (not @t438) (not @t443) (not @t445)))) % 0.61/0.81 (step @p1325 false :rule chain_m_resolution :premises (@p1324 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p10 @p9 @p8 @p7 @p6 @p5) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t445 @t443 @t438 @t433 @t425 @t420 @t414 @t411 @t409 @t407 @t402 @t396 @t391 @t386 @t380 @t375 @t370 @t365 @t364 @t358 @t357 @t356 @t355 @t352 @t347 @t341 @t340 @t335 @t334 @t332 @t331 @t330 @t110 @t324 @t323 @t322 @t321 @t316 @t311 @t310 @t305 @t299 @t298 @t297 @t295 @t294 @t292 @t287 @t285 @t282 @t277 @t276 @t271 @t269 @t268 @t265 @t263 @t261 @t260 @t259 @t257 @t252 @t247 @t246 @t245 @t243 @t242 @t240 @t238 @t237 @t235 @t229 @t224 @t218 @t216 @t211 @t209 @t204 @t199 @t194 @t193 @t188 @t183 @t182 @t178 @t177 @t171 @t170 @t169 @t167 @t164 @t161 @t159 @t158 @t156 @t154 @t151 @t13))) % 0.61/0.81 ) % 0.61/0.81 % SZS output end Proof % 0.61/0.81 % cvc5 exiting %------------------------------------------------------------------------------