%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP459-1 : 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 : n006.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 08:20:46 AM UTC 2026 % Result : Unsatisfiable 0.47s 0.65s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP459-1 : TPTP v9.2.1. Released v2.6.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n006.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 01:08:49 EDT 2026 % 0.15/0.34 % 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... % 0.47/0.65 % SZS status Unsatisfiable % 0.47/0.65 % SZS output start Proof % 0.47/0.66 ( % 0.47/0.66 (declare-sort $$unsorted 0) % 0.47/0.66 (declare-const tptp.a3 $$unsorted) % 0.47/0.66 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.47/0.66 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.66 (declare-const tptp.b3 $$unsorted) % 0.47/0.66 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.66 (declare-const tptp.c3 $$unsorted) % 0.47/0.66 (declare-const tptp.identity $$unsorted) % 0.47/0.66 (define @t1 () (@var "B" $$unsorted)) % 0.47/0.66 (define @t2 () (@var "C" $$unsorted)) % 0.47/0.66 (define @t3 () (@var "A" $$unsorted)) % 0.47/0.66 (define @t4 () (tptp.divide tptp.identity @t3)) % 0.47/0.66 (define @t5 () (tptp.divide @t3 @t3)) % 0.47/0.66 (define @t6 () (tptp.divide (tptp.divide @t5 (tptp.divide @t3 (tptp.divide @t1 (tptp.divide @t4 @t2)))) @t2)) % 0.47/0.66 (define @t7 () (forall (@list @t3 @t1 @t2) (= @t6 @t1))) % 0.47/0.66 (define @t8 () (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide tptp.identity @t1))))) % 0.47/0.66 (define @t9 () (@list @t3)) % 0.47/0.66 (define @t10 () (tptp.multiply tptp.b3 tptp.c3)) % 0.47/0.66 (define @t11 () (tptp.multiply tptp.a3 @t10)) % 0.47/0.66 (define @t12 () (tptp.multiply tptp.a3 tptp.b3)) % 0.47/0.66 (define @t13 () (tptp.multiply @t12 tptp.c3)) % 0.47/0.66 (define @t14 () (= @t13 @t11)) % 0.47/0.66 (define @t15 () (tptp.divide tptp.identity tptp.identity)) % 0.47/0.66 (define @t16 () (tptp.divide @t15 tptp.identity)) % 0.47/0.66 (define @t17 () (tptp.divide tptp.identity @t16)) % 0.47/0.66 (define @t18 () (tptp.divide tptp.identity @t17)) % 0.47/0.66 (define @t19 () (tptp.divide tptp.identity @t18)) % 0.47/0.66 (define @t20 () (tptp.divide @t19 tptp.b3)) % 0.47/0.66 (define @t21 () (tptp.divide tptp.a3 @t20)) % 0.47/0.66 (define @t22 () (tptp.divide @t18 @t18)) % 0.47/0.66 (define @t23 () (tptp.divide @t15 @t10)) % 0.47/0.66 (define @t24 () (tptp.divide tptp.a3 @t23)) % 0.47/0.66 (define @t25 () (tptp.divide @t15 tptp.c3)) % 0.47/0.66 (define @t26 () (tptp.divide @t12 @t25)) % 0.47/0.66 (define @t27 () (tptp.divide @t15 (tptp.divide @t15 @t26))) % 0.47/0.66 (define @t28 () (tptp.divide tptp.identity @t27)) % 0.47/0.66 (define @t29 () (tptp.divide tptp.identity @t26)) % 0.47/0.66 (define @t30 () (tptp.divide tptp.identity @t29)) % 0.47/0.66 (define @t31 () (tptp.divide @t30 tptp.c3)) % 0.47/0.66 (define @t32 () (tptp.divide @t18 @t31)) % 0.47/0.66 (define @t33 () (tptp.divide @t29 @t29)) % 0.47/0.66 (define @t34 () (tptp.divide @t18 @t21)) % 0.47/0.66 (define @t35 () (tptp.divide @t15 @t21)) % 0.47/0.66 (define @t36 () (tptp.divide @t22 @t35)) % 0.47/0.66 (define @t37 () (tptp.divide tptp.identity @t36)) % 0.47/0.66 (define @t38 () (tptp.divide @t15 @t37)) % 0.47/0.66 (define @t39 () (tptp.divide tptp.b3 @t25)) % 0.47/0.66 (define @t40 () (tptp.divide tptp.identity @t39)) % 0.47/0.66 (define @t41 () (tptp.divide tptp.identity @t40)) % 0.47/0.66 (define @t42 () (tptp.divide @t41 tptp.c3)) % 0.47/0.66 (define @t43 () (tptp.divide @t22 @t34)) % 0.47/0.66 (define @t44 () (tptp.divide @t43 @t42)) % 0.47/0.66 (define @t45 () (tptp.divide @t40 @t40)) % 0.47/0.66 (define @t46 () (tptp.divide tptp.identity @t24)) % 0.47/0.66 (define @t47 () (tptp.divide @t15 @t24)) % 0.47/0.66 (define @t48 () (tptp.divide @t15 @t47)) % 0.47/0.66 (define @t49 () (tptp.multiply @t15 @t48)) % 0.47/0.66 (define @t50 () (tptp.divide @t15 (tptp.divide tptp.identity @t48))) % 0.47/0.66 (define @t51 () (= @t49 @t50)) % 0.47/0.66 (define @t52 () (@list @t15 @t48)) % 0.47/0.66 (define @t53 () (= @t50 @t49)) % 0.47/0.66 (define @t54 () (tptp.divide tptp.identity (tptp.divide @t29 @t35))) % 0.47/0.66 (define @t55 () (tptp.divide tptp.identity @t28)) % 0.47/0.66 (define @t56 () (tptp.divide @t55 @t26)) % 0.47/0.66 (define @t57 () (tptp.divide tptp.identity @t56)) % 0.47/0.66 (define @t58 () (tptp.divide @t28 @t28)) % 0.47/0.66 (define @t59 () (tptp.divide tptp.identity @t42)) % 0.47/0.66 (define @t60 () (tptp.divide @t40 @t59)) % 0.47/0.66 (define @t61 () (tptp.divide @t29 @t32)) % 0.47/0.66 (define @t62 () (tptp.divide @t33 @t61)) % 0.47/0.66 (define @t63 () (tptp.divide @t26 @t26)) % 0.47/0.66 (define @t64 () (tptp.divide @t63 (tptp.divide @t26 @t62))) % 0.47/0.66 (define @t65 () (tptp.divide tptp.identity (tptp.divide tptp.identity (tptp.divide @t15 @t34)))) % 0.47/0.66 (define @t66 () (tptp.divide @t15 @t65)) % 0.47/0.66 (define @t67 () (tptp.divide @t38 @t31)) % 0.47/0.66 (define @t68 () (tptp.divide tptp.identity @t46)) % 0.47/0.66 (define @t69 () (tptp.divide @t68 @t10)) % 0.47/0.66 (define @t70 () (tptp.divide @t40 @t69)) % 0.47/0.66 (define @t71 () (tptp.divide @t46 @t46)) % 0.47/0.66 (define @t72 () (tptp.divide @t15 @t46)) % 0.47/0.66 (define @t73 () (tptp.divide tptp.identity (tptp.divide tptp.identity @t72))) % 0.47/0.66 (define @t74 () (tptp.divide @t15 @t73)) % 0.47/0.66 (define @t75 () (tptp.divide @t15 @t29)) % 0.47/0.66 (define @t76 () (tptp.divide tptp.identity (tptp.divide tptp.identity @t75))) % 0.47/0.66 (define @t77 () (tptp.divide @t15 @t76)) % 0.47/0.66 (define @t78 () (tptp.divide @t15 @t28)) % 0.47/0.66 (define @t79 () (tptp.divide @t28 @t57)) % 0.47/0.66 (define @t80 () (tptp.divide @t58 @t79)) % 0.47/0.66 (define @t81 () (tptp.divide tptp.identity @t34)) % 0.47/0.66 (define @t82 () (tptp.divide @t40 (tptp.divide @t81 tptp.b3))) % 0.47/0.66 (define @t83 () (tptp.divide @t34 @t34)) % 0.47/0.66 (define @t84 () (tptp.divide @t34 @t82)) % 0.47/0.66 (define @t85 () (tptp.divide @t83 @t84)) % 0.47/0.66 (define @t86 () (tptp.divide @t27 @t27)) % 0.47/0.66 (define @t87 () (tptp.divide @t86 (tptp.divide @t27 @t80))) % 0.47/0.66 (define @t88 () (tptp.divide tptp.identity @t10)) % 0.47/0.66 (define @t89 () (tptp.divide @t88 @t44)) % 0.47/0.66 (define @t90 () (tptp.divide @t10 (tptp.divide @t46 @t89))) % 0.47/0.66 (define @t91 () (tptp.divide @t10 @t10)) % 0.47/0.66 (define @t92 () (tptp.divide @t91 @t90)) % 0.47/0.66 (define @t93 () (tptp.divide @t46 @t70)) % 0.47/0.66 (define @t94 () (tptp.divide @t24 (tptp.divide @t71 @t93))) % 0.47/0.66 (define @t95 () (tptp.divide @t24 @t24)) % 0.47/0.66 (define @t96 () (tptp.divide @t95 @t94)) % 0.47/0.66 (define @t97 () (tptp.divide (tptp.divide @t65 @t65) (tptp.divide @t65 (tptp.divide @t83 (tptp.divide (tptp.divide tptp.identity @t65) @t82))))) % 0.47/0.66 (define @t98 () (= @t12 (tptp.divide tptp.a3 (tptp.divide tptp.identity tptp.b3)))) % 0.47/0.66 (define @t99 () (= @t11 (tptp.divide tptp.a3 @t88))) % 0.47/0.66 (define @t100 () (tptp.divide tptp.identity tptp.c3)) % 0.47/0.66 (define @t101 () (= @t10 (tptp.divide tptp.b3 @t100))) % 0.47/0.66 (define @t102 () (tptp.divide @t12 @t100)) % 0.47/0.66 (define @t103 () (= @t13 @t102)) % 0.47/0.66 (define @t104 () (= tptp.identity @t15)) % 0.47/0.66 (define @t105 () (= tptp.a3 (tptp.divide @t43 tptp.b3))) % 0.47/0.66 (define @t106 () (tptp.divide @t72 @t10)) % 0.47/0.66 (define @t107 () (= tptp.a3 @t106)) % 0.47/0.66 (define @t108 () (= tptp.b3 (tptp.divide (tptp.divide @t15 @t40) tptp.c3))) % 0.47/0.66 (define @t109 () (tptp.divide @t75 tptp.c3)) % 0.47/0.66 (define @t110 () (= @t12 @t109)) % 0.47/0.66 (define @t111 () (tptp.divide @t38 @t21)) % 0.47/0.66 (define @t112 () (= @t22 @t111)) % 0.47/0.66 (define @t113 () (= @t15 (tptp.divide @t50 @t24))) % 0.47/0.66 (define @t114 () (= @t15 (tptp.divide @t78 @t26))) % 0.47/0.66 (define @t115 () (= tptp.identity (tptp.divide @t80 @t26))) % 0.47/0.66 (define @t116 () (tptp.divide @t15 @t54)) % 0.47/0.66 (define @t117 () (tptp.divide @t116 @t21)) % 0.47/0.66 (define @t118 () (= @t29 @t117)) % 0.47/0.66 (define @t119 () (= @t33 (tptp.divide @t64 @t32))) % 0.47/0.66 (define @t120 () (tptp.divide @t66 @t34)) % 0.47/0.66 (define @t121 () (= tptp.identity @t120)) % 0.47/0.66 (define @t122 () (tptp.divide @t29 @t67)) % 0.47/0.66 (define @t123 () (tptp.divide @t33 @t122)) % 0.47/0.66 (define @t124 () (= @t38 (tptp.divide @t123 tptp.c3))) % 0.47/0.66 (define @t125 () (tptp.divide @t91 (tptp.divide @t10 (tptp.divide @t45 @t89)))) % 0.47/0.66 (define @t126 () (= @t45 (tptp.divide @t125 @t44))) % 0.47/0.66 (define @t127 () (= tptp.identity (tptp.divide @t74 @t46))) % 0.47/0.66 (define @t128 () (= tptp.identity (tptp.divide @t77 @t29))) % 0.47/0.66 (define @t129 () (tptp.divide @t15 @t27)) % 0.47/0.66 (define @t130 () (tptp.divide @t15 @t129)) % 0.47/0.66 (define @t131 () (tptp.divide tptp.identity @t130)) % 0.47/0.66 (define @t132 () (tptp.divide @t15 @t131)) % 0.47/0.66 (define @t133 () (tptp.divide @t132 @t27)) % 0.47/0.66 (define @t134 () (= @t15 @t133)) % 0.47/0.66 (define @t135 () (= tptp.identity @t45)) % 0.47/0.66 (define @t136 () (= tptp.identity @t33)) % 0.47/0.66 (define @t137 () (tptp.divide (tptp.divide tptp.identity @t54) @t21)) % 0.47/0.66 (define @t138 () (tptp.divide @t54 @t54)) % 0.47/0.66 (define @t139 () (= @t29 (tptp.divide (tptp.divide @t138 (tptp.divide @t54 (tptp.divide @t29 @t137))) @t21))) % 0.47/0.66 (define @t140 () (tptp.divide @t85 tptp.b3)) % 0.47/0.66 (define @t141 () (= @t40 @t140)) % 0.47/0.66 (define @t142 () (= @t58 (tptp.divide @t87 @t57))) % 0.47/0.66 (define @t143 () (tptp.divide @t15 (tptp.divide tptp.identity (tptp.divide @t15 (tptp.divide @t15 @t60))))) % 0.47/0.66 (define @t144 () (= @t15 (tptp.divide @t143 @t60))) % 0.47/0.66 (define @t145 () (tptp.divide @t15 @t61)) % 0.47/0.66 (define @t146 () (tptp.divide @t26 @t145)) % 0.47/0.66 (define @t147 () (tptp.divide tptp.identity @t146)) % 0.47/0.66 (define @t148 () (tptp.divide @t15 @t147)) % 0.47/0.66 (define @t149 () (tptp.divide @t148 @t61)) % 0.47/0.66 (define @t150 () (= @t26 @t149)) % 0.47/0.66 (define @t151 () (tptp.divide @t64 @t35)) % 0.47/0.66 (define @t152 () (= @t64 (tptp.divide (tptp.divide @t15 (tptp.divide tptp.identity @t151)) @t21))) % 0.47/0.66 (define @t153 () (= @t66 (tptp.divide (tptp.divide @t15 (tptp.divide tptp.identity (tptp.divide @t66 @t35))) @t21))) % 0.47/0.66 (define @t154 () (tptp.divide @t15 @t66)) % 0.47/0.66 (define @t155 () (tptp.divide tptp.identity @t154)) % 0.47/0.66 (define @t156 () (tptp.divide @t15 @t155)) % 0.47/0.66 (define @t157 () (tptp.divide @t156 @t65)) % 0.47/0.66 (define @t158 () (= @t15 @t157)) % 0.47/0.66 (define @t159 () (tptp.divide @t26 (tptp.divide @t29 @t33))) % 0.47/0.66 (define @t160 () (tptp.divide @t63 @t159)) % 0.47/0.66 (define @t161 () (= @t29 (tptp.divide @t160 @t29))) % 0.47/0.66 (define @t162 () (tptp.divide @t63 (tptp.divide @t26 @t123))) % 0.47/0.66 (define @t163 () (= @t33 (tptp.divide @t162 @t67))) % 0.47/0.66 (define @t164 () (= @t46 (tptp.divide @t92 @t44))) % 0.47/0.66 (define @t165 () (= @t71 (tptp.divide @t96 @t70))) % 0.47/0.66 (define @t166 () (tptp.divide @t74 @t47)) % 0.47/0.66 (define @t167 () (tptp.divide tptp.identity @t166)) % 0.47/0.66 (define @t168 () (tptp.divide @t15 @t167)) % 0.47/0.66 (define @t169 () (tptp.divide @t168 @t24)) % 0.47/0.66 (define @t170 () (= @t74 @t169)) % 0.47/0.66 (define @t171 () (tptp.divide @t15 @t78)) % 0.47/0.66 (define @t172 () (tptp.divide tptp.identity @t171)) % 0.47/0.66 (define @t173 () (tptp.divide @t15 @t172)) % 0.47/0.66 (define @t174 () (tptp.divide @t173 @t28)) % 0.47/0.66 (define @t175 () (= @t15 @t174)) % 0.47/0.66 (define @t176 () (tptp.divide @t77 @t137)) % 0.47/0.66 (define @t177 () (tptp.divide @t54 @t176)) % 0.47/0.66 (define @t178 () (tptp.divide @t138 @t177)) % 0.47/0.66 (define @t179 () (tptp.divide @t178 @t21)) % 0.47/0.66 (define @t180 () (= @t77 @t179)) % 0.47/0.66 (define @t181 () (tptp.divide @t15 @t77)) % 0.47/0.66 (define @t182 () (tptp.divide tptp.identity @t181)) % 0.47/0.66 (define @t183 () (tptp.divide @t15 @t182)) % 0.47/0.66 (define @t184 () (tptp.divide @t183 @t76)) % 0.47/0.66 (define @t185 () (= @t15 @t184)) % 0.47/0.66 (define @t186 () (tptp.multiply @t15 @t76)) % 0.47/0.66 (define @t187 () (= @t186 (tptp.divide @t15 (tptp.divide tptp.identity @t76)))) % 0.47/0.66 (define @t188 () (= tptp.identity @t91)) % 0.47/0.66 (define @t189 () (= tptp.identity @t63)) % 0.47/0.66 (define @t190 () (tptp.divide @t55 @t76)) % 0.47/0.66 (define @t191 () (= tptp.identity (tptp.divide (tptp.divide @t58 (tptp.divide @t28 (tptp.divide tptp.identity @t190))) @t76))) % 0.47/0.66 (define @t192 () (tptp.divide @t81 @t61)) % 0.47/0.66 (define @t193 () (tptp.divide @t34 (tptp.divide @t78 @t192))) % 0.47/0.66 (define @t194 () (tptp.divide @t83 @t193)) % 0.47/0.66 (define @t195 () (= @t78 (tptp.divide @t194 @t61))) % 0.47/0.66 (define @t196 () (tptp.divide @t80 @t192)) % 0.47/0.66 (define @t197 () (tptp.divide @t34 @t196)) % 0.47/0.66 (define @t198 () (tptp.divide @t83 @t197)) % 0.47/0.66 (define @t199 () (tptp.divide @t198 @t61)) % 0.47/0.66 (define @t200 () (= @t80 @t199)) % 0.47/0.66 (define @t201 () (= @t26 (tptp.divide (tptp.divide @t83 (tptp.divide @t34 (tptp.divide @t26 @t192))) @t61))) % 0.47/0.66 (define @t202 () (= @t83 (tptp.divide @t97 @t82))) % 0.47/0.66 (define @t203 () (= @t85 (tptp.divide (tptp.divide @t45 (tptp.divide @t40 (tptp.divide @t85 @t42))) tptp.c3))) % 0.47/0.66 (define @t204 () (tptp.divide @t15 @t79)) % 0.47/0.66 (define @t205 () (tptp.divide @t27 @t204)) % 0.47/0.66 (define @t206 () (tptp.divide tptp.identity @t205)) % 0.47/0.66 (define @t207 () (tptp.divide @t15 @t206)) % 0.47/0.66 (define @t208 () (tptp.divide @t207 @t79)) % 0.47/0.66 (define @t209 () (= @t27 @t208)) % 0.47/0.66 (define @t210 () (tptp.divide @t87 @t190)) % 0.47/0.66 (define @t211 () (tptp.divide @t28 @t210)) % 0.47/0.66 (define @t212 () (tptp.divide @t58 @t211)) % 0.47/0.66 (define @t213 () (tptp.divide @t212 @t76)) % 0.47/0.66 (define @t214 () (= @t87 @t213)) % 0.47/0.66 (define @t215 () (= @t92 (tptp.divide (tptp.divide @t71 (tptp.divide @t46 (tptp.divide @t92 @t69))) @t10))) % 0.47/0.66 (define @t216 () (tptp.divide @t15 @t93)) % 0.47/0.66 (define @t217 () (tptp.divide @t24 @t216)) % 0.47/0.66 (define @t218 () (tptp.divide tptp.identity @t217)) % 0.47/0.66 (define @t219 () (tptp.divide @t15 @t218)) % 0.47/0.66 (define @t220 () (tptp.divide @t219 @t93)) % 0.47/0.66 (define @t221 () (= @t24 @t220)) % 0.47/0.66 (define @t222 () (tptp.divide @t96 @t89)) % 0.47/0.66 (define @t223 () (tptp.divide @t10 @t222)) % 0.47/0.66 (define @t224 () (tptp.divide @t91 @t223)) % 0.47/0.66 (define @t225 () (tptp.divide @t224 @t44)) % 0.47/0.66 (define @t226 () (= @t96 @t225)) % 0.47/0.66 (define @t227 () (= tptp.identity @t95)) % 0.47/0.66 (define @t228 () (tptp.divide @t68 @t93)) % 0.47/0.66 (define @t229 () (tptp.divide @t50 @t228)) % 0.47/0.66 (define @t230 () (tptp.divide @t46 @t229)) % 0.47/0.66 (define @t231 () (tptp.divide @t71 @t230)) % 0.47/0.66 (define @t232 () (tptp.divide @t231 @t93)) % 0.47/0.66 (define @t233 () (= @t50 @t232)) % 0.47/0.66 (define @t234 () (= @t24 (tptp.divide (tptp.divide @t71 (tptp.divide @t46 (tptp.divide @t24 @t228))) @t93))) % 0.47/0.66 (define @t235 () (tptp.divide @t15 @t94)) % 0.47/0.66 (define @t236 () (tptp.divide @t97 @t235)) % 0.47/0.66 (define @t237 () (tptp.divide tptp.identity @t236)) % 0.47/0.66 (define @t238 () (tptp.divide @t15 @t237)) % 0.47/0.66 (define @t239 () (tptp.divide @t238 @t94)) % 0.47/0.66 (define @t240 () (= @t97 @t239)) % 0.47/0.66 (define @t241 () (tptp.divide tptp.identity @t90)) % 0.47/0.66 (define @t242 () (tptp.divide @t241 @t44)) % 0.47/0.66 (define @t243 () (tptp.divide @t40 @t44)) % 0.47/0.66 (define @t244 () (tptp.divide tptp.identity @t73)) % 0.47/0.66 (define @t245 () (tptp.divide @t88 @t59)) % 0.47/0.66 (define @t246 () (tptp.divide @t143 @t245)) % 0.47/0.66 (define @t247 () (tptp.divide @t125 @t69)) % 0.47/0.66 (define @t248 () (tptp.divide @t46 @t247)) % 0.47/0.66 (define @t249 () (tptp.divide tptp.identity @t84)) % 0.47/0.66 (define @t250 () (tptp.divide tptp.identity @t122)) % 0.47/0.66 (define @t251 () (tptp.divide @t30 @t80)) % 0.47/0.66 (define @t252 () (tptp.divide @t86 @t251)) % 0.47/0.66 (define @t253 () (tptp.divide @t29 @t252)) % 0.47/0.66 (define @t254 () (tptp.divide @t162 @t190)) % 0.47/0.66 (define @t255 () (tptp.divide tptp.identity @t159)) % 0.47/0.66 (define @t256 () (tptp.divide @t160 @t77)) % 0.47/0.66 (define @t257 () (tptp.divide tptp.identity @t256)) % 0.47/0.66 (define @t258 () (tptp.divide @t15 @t36)) % 0.47/0.66 (define @t259 () (tptp.divide @t15 @t258)) % 0.47/0.66 (define @t260 () (tptp.divide tptp.identity @t259)) % 0.47/0.66 (define @t261 () (and @t98 @t99 @t101 @t103 @t104 @t105 @t107 @t108 @t110 @t112 @t113 @t114 @t115 @t118 @t119 @t121 @t124 @t126 @t127 @t128 @t134 @t53 @t135 @t136 @t139 @t141 @t142 @t144 @t150 @t152 @t153 @t158 @t161 @t163 @t164 @t165 @t170 @t175 @t180 @t185 @t187 @t188 @t189 @t191 @t195 @t200 @t201 @t202 @t203 @t209 @t214 @t215 @t221 @t226 @t227 @t233 @t234 @t240)) % 0.47/0.66 (assume @p1 @t7) % 0.47/0.66 (assume @p2 @t8) % 0.47/0.66 (assume @p3 (forall @t9 (= (tptp.inverse @t3) @t4))) % 0.47/0.66 (assume @p4 (forall @t9 (= tptp.identity @t5))) % 0.47/0.66 (assume @p5 (not @t14)) % 0.47/0.66 (step @p6 :rule instantiate :premises (@p2) :args ((@list tptp.a3 tptp.b3))) % 0.47/0.66 (step @p7 :rule instantiate :premises (@p2) :args ((@list tptp.a3 @t10))) % 0.47/0.66 (step @p8 :rule instantiate :premises (@p2) :args ((@list tptp.b3 tptp.c3))) % 0.47/0.66 (step @p9 :rule instantiate :premises (@p2) :args ((@list @t12 tptp.c3))) % 0.47/0.66 (step @p10 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 0.47/0.66 (step @p11 :rule eq-symm :args (@t6 @t1)) % 0.47/0.66 (step @p12 :rule cong :premises (@p11) :args (@t7)) % 0.47/0.66 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.47/0.66 (step @p14 :rule instantiate :premises (@p13) :args ((@list @t18 tptp.a3 tptp.b3))) % 0.47/0.66 (step @p15 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.a3 @t10))) % 0.47/0.66 (step @p16 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.b3 tptp.c3))) % 0.47/0.66 (step @p17 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t12 tptp.c3))) % 0.47/0.66 (step @p18 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t22 @t21))) % 0.47/0.66 (step @p19 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t15 @t24))) % 0.47/0.66 (step @p20 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t15 @t26))) % 0.47/0.66 (step @p21 :rule instantiate :premises (@p13) :args ((@list @t28 tptp.identity @t26))) % 0.47/0.66 (step @p22 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t29 @t21))) % 0.47/0.66 (step @p23 :rule instantiate :premises (@p13) :args ((@list @t26 @t33 @t32))) % 0.47/0.66 (step @p24 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t34))) % 0.47/0.66 (step @p25 :rule instantiate :premises (@p13) :args ((@list @t29 @t38 tptp.c3))) % 0.47/0.66 (step @p26 :rule instantiate :premises (@p13) :args ((@list @t10 @t45 @t44))) % 0.47/0.66 (step @p27 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t46))) % 0.47/0.66 (step @p28 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.identity @t29))) % 0.47/0.66 (step @p29 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t15 @t27))) % 0.47/0.66 (step @p30 :rule eq-symm :args (@t49 @t50)) % 0.47/0.66 (step @p31 :rule refl :args (@t8)) % 0.47/0.66 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t8 @t51))) % 0.47/0.66 (assume-push @p644 @t8) % 0.47/0.66 (step @p34 :rule instantiate :premises (@p2) :args (@t52)) % 0.47/0.66 (step-pop @p645 :rule scope :premises (@p34)) % 0.47/0.66 (step @p35 :rule process_scope :premises (@p645) :args (@t51)) % 0.47/0.66 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 0.47/0.66 (step @p38 :rule implies_elim :premises (@p37)) % 0.47/0.66 (step @p39 :rule chain_m_resolution :premises (@p38 @p2) :args (@t53 (@list false) (@list @t8))) % 0.47/0.66 (step @p40 :rule instantiate :premises (@p4) :args ((@list @t40))) % 0.47/0.66 (step @p41 :rule instantiate :premises (@p4) :args ((@list @t29))) % 0.47/0.66 (step @p42 :rule instantiate :premises (@p13) :args ((@list @t54 @t29 @t21))) % 0.47/0.66 (step @p43 :rule instantiate :premises (@p13) :args ((@list @t34 @t40 tptp.b3))) % 0.47/0.66 (step @p44 :rule instantiate :premises (@p13) :args ((@list @t27 @t58 @t57))) % 0.47/0.66 (step @p45 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t15 @t60))) % 0.47/0.66 (step @p46 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t26 @t61))) % 0.47/0.66 (step @p47 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t64 @t21))) % 0.47/0.66 (step @p48 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t66 @t21))) % 0.47/0.66 (step @p49 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t15 @t65))) % 0.47/0.66 (step @p50 :rule instantiate :premises (@p13) :args ((@list @t26 @t29 @t29))) % 0.47/0.66 (step @p51 :rule instantiate :premises (@p13) :args ((@list @t26 @t33 @t67))) % 0.47/0.66 (step @p52 :rule instantiate :premises (@p13) :args ((@list @t10 @t46 @t44))) % 0.47/0.66 (step @p53 :rule instantiate :premises (@p13) :args ((@list @t24 @t71 @t70))) % 0.47/0.66 (step @p54 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t74 @t24))) % 0.47/0.66 (step @p55 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t15 @t28))) % 0.47/0.66 (step @p56 :rule instantiate :premises (@p13) :args ((@list @t54 @t77 @t21))) % 0.47/0.66 (step @p57 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t15 @t76))) % 0.47/0.66 (step @p58 :rule instantiate :premises (@p2) :args ((@list @t15 @t76))) % 0.47/0.66 (step @p59 :rule instantiate :premises (@p4) :args ((@list @t10))) % 0.47/0.66 (step @p60 :rule instantiate :premises (@p4) :args ((@list @t26))) % 0.47/0.66 (step @p61 :rule instantiate :premises (@p13) :args ((@list @t28 tptp.identity @t76))) % 0.47/0.66 (step @p62 :rule instantiate :premises (@p13) :args ((@list @t34 @t78 @t61))) % 0.47/0.66 (step @p63 :rule instantiate :premises (@p13) :args ((@list @t34 @t80 @t61))) % 0.47/0.66 (step @p64 :rule instantiate :premises (@p13) :args ((@list @t34 @t26 @t61))) % 0.47/0.66 (step @p65 :rule instantiate :premises (@p13) :args ((@list @t65 @t83 @t82))) % 0.47/0.66 (step @p66 :rule instantiate :premises (@p13) :args ((@list @t40 @t85 tptp.c3))) % 0.47/0.66 (step @p67 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t27 @t79))) % 0.47/0.66 (step @p68 :rule instantiate :premises (@p13) :args ((@list @t28 @t87 @t76))) % 0.47/0.66 (step @p69 :rule instantiate :premises (@p13) :args ((@list @t46 @t92 @t10))) % 0.47/0.66 (step @p70 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t24 @t93))) % 0.47/0.66 (step @p71 :rule instantiate :premises (@p13) :args ((@list @t10 @t96 @t44))) % 0.47/0.66 (step @p72 :rule instantiate :premises (@p4) :args ((@list @t24))) % 0.47/0.66 (step @p73 :rule instantiate :premises (@p13) :args ((@list @t46 @t50 @t93))) % 0.47/0.66 (step @p74 :rule instantiate :premises (@p13) :args ((@list @t46 @t24 @t93))) % 0.47/0.66 (step @p75 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t97 @t94))) % 0.47/0.66 (assume-push @p646 @t98) % 0.47/0.66 (assume-push @p647 @t99) % 0.47/0.66 (assume-push @p648 @t101) % 0.47/0.66 (assume-push @p649 @t103) % 0.47/0.66 (assume-push @p650 @t104) % 0.47/0.66 (assume-push @p651 @t105) % 0.47/0.66 (assume-push @p652 @t107) % 0.47/0.66 (assume-push @p653 @t108) % 0.47/0.66 (assume-push @p654 @t110) % 0.47/0.66 (assume-push @p655 @t112) % 0.47/0.66 (assume-push @p656 @t113) % 0.47/0.66 (assume-push @p657 @t114) % 0.47/0.66 (assume-push @p658 @t115) % 0.47/0.66 (assume-push @p659 @t118) % 0.47/0.66 (assume-push @p660 @t119) % 0.47/0.66 (assume-push @p661 @t121) % 0.47/0.66 (assume-push @p662 @t124) % 0.47/0.66 (assume-push @p663 @t126) % 0.47/0.66 (assume-push @p664 @t127) % 0.47/0.66 (assume-push @p665 @t128) % 0.47/0.66 (assume-push @p666 @t134) % 0.47/0.66 (assume-push @p667 @t53) % 0.47/0.66 (assume-push @p668 @t135) % 0.47/0.66 (assume-push @p669 @t136) % 0.47/0.66 (assume-push @p670 @t139) % 0.47/0.66 (assume-push @p671 @t141) % 0.47/0.66 (assume-push @p672 @t142) % 0.47/0.66 (assume-push @p673 @t144) % 0.47/0.66 (assume-push @p674 @t150) % 0.47/0.66 (assume-push @p675 @t152) % 0.47/0.66 (assume-push @p676 @t153) % 0.47/0.66 (assume-push @p677 @t158) % 0.47/0.66 (assume-push @p678 @t161) % 0.47/0.66 (assume-push @p679 @t163) % 0.47/0.66 (assume-push @p680 @t164) % 0.47/0.66 (assume-push @p681 @t165) % 0.47/0.66 (assume-push @p682 @t170) % 0.47/0.66 (assume-push @p683 @t175) % 0.47/0.66 (assume-push @p684 @t180) % 0.47/0.66 (assume-push @p685 @t185) % 0.47/0.66 (assume-push @p686 @t187) % 0.47/0.66 (assume-push @p687 @t188) % 0.47/0.66 (assume-push @p688 @t189) % 0.47/0.66 (assume-push @p689 @t191) % 0.47/0.66 (assume-push @p690 @t195) % 0.47/0.66 (assume-push @p691 @t200) % 0.47/0.66 (assume-push @p692 @t201) % 0.47/0.66 (assume-push @p693 @t202) % 0.47/0.66 (assume-push @p694 @t203) % 0.47/0.66 (assume-push @p695 @t209) % 0.47/0.66 (assume-push @p696 @t214) % 0.47/0.66 (assume-push @p697 @t215) % 0.47/0.66 (assume-push @p698 @t221) % 0.47/0.66 (assume-push @p699 @t226) % 0.47/0.66 (assume-push @p700 @t227) % 0.47/0.66 (assume-push @p701 @t233) % 0.47/0.66 (assume-push @p702 @t234) % 0.47/0.66 (assume-push @p703 @t240) % 0.47/0.66 (step @p134 :rule symm :premises (@p7)) % 0.47/0.66 (step @p135 :rule refl :args (@t10)) % 0.47/0.66 (step @p136 :rule symm :premises (@p10)) % 0.47/0.66 (step @p137 :rule cong :premises (@p136 @p135) :args (@t23)) % 0.47/0.66 (step @p138 :rule refl :args (tptp.a3)) % 0.47/0.66 (step @p139 :rule cong :premises (@p138 @p137) :args (@t24)) % 0.47/0.66 (step @p140 :rule symm :premises (@p74)) % 0.47/0.66 (step @p141 :rule refl :args (@t93)) % 0.47/0.66 (step @p142 :rule refl :args (@t46)) % 0.47/0.66 (step @p143 :rule cong :premises (@p136 @p142) :args (@t72)) % 0.47/0.66 (step @p144 :rule symm :premises (@p52)) % 0.47/0.66 (step @p145 :rule refl :args (@t44)) % 0.47/0.66 (step @p146 :rule refl :args (@t90)) % 0.47/0.66 (step @p147 :rule cong :premises (@p59 @p146) :args (@t241)) % 0.47/0.66 (step @p148 :rule cong :premises (@p147 @p145) :args (@t242)) % 0.47/0.66 (step @p149 :rule symm :premises (@p147)) % 0.47/0.66 (step @p150 :rule symm :premises (@p69)) % 0.47/0.66 (step @p151 :rule cong :premises (@p143 @p135) :args (@t106)) % 0.47/0.66 (step @p152 :rule symm :premises (@p14)) % 0.47/0.66 (step @p153 :rule symm :premises (@p16)) % 0.47/0.66 (step @p154 :rule refl :args (tptp.c3)) % 0.47/0.66 (step @p155 :rule refl :args (@t40)) % 0.47/0.66 (step @p156 :rule cong :premises (@p10 @p155) :args (@t41)) % 0.47/0.66 (step @p157 :rule cong :premises (@p156 @p154) :args (@t42)) % 0.47/0.66 (step @p158 :rule trans :premises (@p157 @p153)) % 0.47/0.66 (step @p159 :rule refl :args (@t43)) % 0.47/0.66 (step @p160 :rule cong :premises (@p159 @p158) :args (@t44)) % 0.47/0.66 (step @p161 :rule trans :premises (@p160 @p152 @p15 @p151)) % 0.47/0.66 (step @p162 :rule cong :premises (@p147 @p161) :args (@t242)) % 0.47/0.66 (step @p163 :rule symm :premises (@p148)) % 0.47/0.66 (step @p164 :rule trans :premises (@p52 @p163 @p162)) % 0.47/0.66 (step @p165 :rule cong :premises (@p142 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@t221) (not @t226) (not @t227) (not @t233) (not @t234) (not @t240)))) % 0.47/0.66 (step @p643 false :rule chain_m_resolution :premises (@p642 @p75 @p74 @p73 @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 @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 true) (@list @t240 @t234 @t233 @t227 @t226 @t221 @t215 @t214 @t209 @t203 @t202 @t201 @t200 @t195 @t191 @t189 @t188 @t187 @t185 @t180 @t175 @t170 @t165 @t164 @t163 @t161 @t158 @t153 @t152 @t150 @t144 @t142 @t141 @t139 @t136 @t135 @t53 @t134 @t128 @t127 @t126 @t124 @t121 @t119 @t118 @t115 @t114 @t113 @t112 @t110 @t108 @t107 @t105 @t104 @t103 @t101 @t99 @t98 @t14))) % 0.47/0.66 ) % 0.47/0.66 % SZS output end Proof % 0.47/0.66 % cvc5 exiting %------------------------------------------------------------------------------