%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP115-1 : TPTP v9.2.1. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:19:47 AM UTC 2026 % Result : Unsatisfiable 0.52s 0.75s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP115-1 : TPTP v9.2.1. Released v1.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 00:50:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.75 % SZS status Unsatisfiable % 0.52/0.75 % SZS output start Proof % 0.52/0.76 ( % 0.52/0.76 (declare-sort $$unsorted 0) % 0.52/0.76 (declare-const tptp.a $$unsorted) % 0.52/0.76 (declare-const tptp.identity $$unsorted) % 0.52/0.76 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.76 (define @t1 () (@var "Y" $$unsorted)) % 0.52/0.76 (define @t2 () (@var "Z" $$unsorted)) % 0.52/0.76 (define @t3 () (@var "X" $$unsorted)) % 0.52/0.76 (define @t4 () (tptp.multiply @t3 (tptp.multiply (tptp.multiply @t3 (tptp.multiply (tptp.multiply @t3 @t1) @t2)) (tptp.multiply tptp.identity (tptp.multiply @t2 @t2))))) % 0.52/0.76 (define @t5 () (forall (@list @t3 @t1 @t2) (= @t4 @t1))) % 0.52/0.76 (define @t6 () (tptp.multiply tptp.a tptp.a)) % 0.52/0.76 (define @t7 () (tptp.multiply tptp.a @t6)) % 0.52/0.76 (define @t8 () (tptp.multiply tptp.identity tptp.identity)) % 0.52/0.76 (define @t9 () (tptp.multiply tptp.identity @t8)) % 0.52/0.76 (define @t10 () (tptp.multiply @t8 tptp.identity)) % 0.52/0.76 (define @t11 () (tptp.multiply (tptp.multiply tptp.identity @t10) @t9)) % 0.52/0.76 (define @t12 () (tptp.multiply tptp.identity @t6)) % 0.52/0.76 (define @t13 () (tptp.multiply @t6 tptp.a)) % 0.52/0.76 (define @t14 () (tptp.multiply tptp.a @t13)) % 0.52/0.76 (define @t15 () (tptp.multiply @t14 @t12)) % 0.52/0.76 (define @t16 () (tptp.multiply @t12 @t12)) % 0.52/0.76 (define @t17 () (tptp.multiply tptp.identity @t16)) % 0.52/0.76 (define @t18 () (tptp.multiply tptp.a @t15)) % 0.52/0.76 (define @t19 () (tptp.multiply @t18 @t17)) % 0.52/0.76 (define @t20 () (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t18 tptp.a)) @t12)) % 0.52/0.76 (define @t21 () (tptp.multiply @t15 @t15)) % 0.52/0.76 (define @t22 () (tptp.multiply tptp.identity @t21)) % 0.52/0.76 (define @t23 () (tptp.multiply @t7 @t12)) % 0.52/0.76 (define @t24 () (tptp.multiply tptp.a @t23)) % 0.52/0.76 (define @t25 () (tptp.multiply @t24 @t17)) % 0.52/0.76 (define @t26 () (tptp.multiply tptp.identity (tptp.multiply @t22 @t22))) % 0.52/0.76 (define @t27 () (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t6 @t22)) @t26)) % 0.52/0.76 (define @t28 () (tptp.multiply @t17 @t17)) % 0.52/0.76 (define @t29 () (tptp.multiply tptp.identity (tptp.multiply @t19 @t19))) % 0.52/0.76 (define @t30 () (tptp.multiply tptp.identity (tptp.multiply @t20 @t20))) % 0.52/0.76 (define @t31 () (tptp.multiply tptp.identity @t28)) % 0.52/0.76 (define @t32 () (tptp.multiply tptp.a @t19)) % 0.52/0.76 (define @t33 () (tptp.multiply @t32 @t31)) % 0.52/0.76 (define @t34 () (tptp.multiply tptp.identity (tptp.multiply @t30 @t30))) % 0.52/0.76 (define @t35 () (tptp.multiply tptp.a @t27)) % 0.52/0.76 (define @t36 () (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t35 @t30)) @t34)) % 0.52/0.76 (define @t37 () (tptp.multiply @t28 @t28)) % 0.52/0.76 (define @t38 () (tptp.multiply tptp.identity @t37)) % 0.52/0.76 (define @t39 () (tptp.multiply tptp.identity (tptp.multiply @t8 @t28))) % 0.52/0.76 (define @t40 () (tptp.multiply @t39 @t38)) % 0.52/0.76 (define @t41 () (tptp.multiply @t26 @t26)) % 0.52/0.76 (define @t42 () (tptp.multiply @t31 @t31)) % 0.52/0.76 (define @t43 () (tptp.multiply tptp.identity (tptp.multiply @t29 @t29))) % 0.52/0.76 (define @t44 () (tptp.multiply @t14 @t29)) % 0.52/0.76 (define @t45 () (tptp.multiply tptp.a @t44)) % 0.52/0.76 (define @t46 () (tptp.multiply @t45 @t43)) % 0.52/0.76 (define @t47 () (tptp.multiply tptp.identity @t41)) % 0.52/0.76 (define @t48 () (tptp.multiply tptp.identity @t42)) % 0.52/0.76 (define @t49 () (tptp.multiply tptp.a (tptp.multiply @t6 @t31))) % 0.52/0.76 (define @t50 () (tptp.multiply @t49 @t48)) % 0.52/0.76 (define @t51 () (tptp.multiply @t42 @t42)) % 0.52/0.76 (define @t52 () (tptp.multiply tptp.identity @t51)) % 0.52/0.76 (define @t53 () (tptp.multiply tptp.identity @t40)) % 0.52/0.76 (define @t54 () (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply @t53 @t42)) @t52)) % 0.52/0.76 (define @t55 () (tptp.multiply @t15 @t17)) % 0.52/0.76 (define @t56 () (tptp.multiply (tptp.multiply @t15 (tptp.multiply @t55 @t36)) (tptp.multiply tptp.identity (tptp.multiply @t36 @t36)))) % 0.52/0.76 (define @t57 () (tptp.multiply tptp.identity (tptp.multiply @t47 @t47))) % 0.52/0.76 (define @t58 () (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t18 @t47)) @t57)) % 0.52/0.76 (define @t59 () (tptp.multiply @t48 @t48)) % 0.52/0.76 (define @t60 () (tptp.multiply tptp.identity (tptp.multiply @t41 @t41))) % 0.52/0.76 (define @t61 () (tptp.multiply tptp.a @t33)) % 0.52/0.76 (define @t62 () (tptp.multiply @t61 @t48)) % 0.52/0.76 (define @t63 () (tptp.multiply tptp.identity (tptp.multiply @t62 @t62))) % 0.52/0.76 (define @t64 () (tptp.multiply @t38 @t38)) % 0.52/0.76 (define @t65 () (tptp.multiply @t12 @t38)) % 0.52/0.76 (define @t66 () (tptp.multiply tptp.identity @t65)) % 0.52/0.76 (define @t67 () (tptp.multiply tptp.identity (tptp.multiply @t43 @t43))) % 0.52/0.76 (define @t68 () (tptp.multiply tptp.identity @t59)) % 0.52/0.76 (define @t69 () (tptp.multiply @t64 @t64)) % 0.52/0.76 (define @t70 () (tptp.multiply tptp.identity @t69)) % 0.52/0.76 (define @t71 () (tptp.multiply @t66 @t54)) % 0.52/0.76 (define @t72 () (tptp.multiply @t71 @t64)) % 0.52/0.76 (define @t73 () (tptp.multiply @t66 @t72)) % 0.52/0.76 (define @t74 () (tptp.multiply @t73 @t70)) % 0.52/0.76 (define @t75 () (tptp.multiply tptp.identity (tptp.multiply @t37 @t37))) % 0.52/0.76 (define @t76 () (tptp.multiply @t40 @t37)) % 0.52/0.76 (define @t77 () (tptp.multiply @t39 @t76)) % 0.52/0.76 (define @t78 () (tptp.multiply @t77 @t75)) % 0.52/0.76 (define @t79 () (tptp.multiply @t57 @t57)) % 0.52/0.76 (define @t80 () (tptp.multiply tptp.identity (tptp.multiply @t56 @t56))) % 0.52/0.76 (define @t81 () (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t32 @t67)) (tptp.multiply tptp.identity (tptp.multiply @t67 @t67)))) % 0.52/0.76 (define @t82 () (tptp.multiply @t60 @t60)) % 0.52/0.76 (define @t83 () (tptp.multiply tptp.identity (tptp.multiply @t22 @t60))) % 0.52/0.76 (define @t84 () (tptp.multiply @t83 @t74)) % 0.52/0.76 (define @t85 () (tptp.multiply @t84 @t82)) % 0.52/0.76 (define @t86 () (tptp.multiply @t83 @t85)) % 0.52/0.76 (define @t87 () (tptp.multiply @t86 (tptp.multiply tptp.identity (tptp.multiply @t82 @t82)))) % 0.52/0.76 (define @t88 () (tptp.multiply (tptp.multiply @t39 (tptp.multiply @t40 @t75)) (tptp.multiply tptp.identity (tptp.multiply @t75 @t75)))) % 0.52/0.76 (define @t89 () (tptp.multiply (tptp.multiply @t12 (tptp.multiply @t16 @t48)) @t68)) % 0.52/0.76 (define @t90 () (tptp.multiply tptp.identity (tptp.multiply @t81 @t81))) % 0.52/0.76 (define @t91 () (tptp.multiply @t78 @t78)) % 0.52/0.76 (define @t92 () (tptp.multiply tptp.identity @t91)) % 0.52/0.76 (define @t93 () (tptp.multiply @t59 @t59)) % 0.52/0.76 (define @t94 () (tptp.multiply @t93 @t93)) % 0.52/0.76 (define @t95 () (tptp.multiply tptp.identity @t64)) % 0.52/0.76 (define @t96 () (tptp.multiply @t66 @t95)) % 0.52/0.76 (define @t97 () (tptp.multiply @t66 (tptp.multiply @t96 @t70))) % 0.52/0.76 (define @t98 () (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t32 @t90)) (tptp.multiply tptp.identity (tptp.multiply @t90 @t90)))) % 0.52/0.76 (define @t99 () (tptp.multiply tptp.identity @t93)) % 0.52/0.76 (define @t100 () (tptp.multiply @t88 @t88)) % 0.52/0.76 (define @t101 () (tptp.multiply tptp.identity @t100)) % 0.52/0.76 (define @t102 () (tptp.multiply @t12 @t88)) % 0.52/0.76 (define @t103 () (tptp.multiply (tptp.multiply tptp.identity @t102) @t101)) % 0.52/0.76 (define @t104 () (tptp.multiply tptp.identity (tptp.multiply @t68 @t68))) % 0.52/0.76 (define @t105 () (tptp.multiply tptp.identity (tptp.multiply @t104 @t104))) % 0.52/0.76 (define @t106 () (tptp.multiply tptp.a @t62)) % 0.52/0.76 (define @t107 () (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t106 @t68)) @t104)) % 0.52/0.76 (define @t108 () (tptp.multiply tptp.a @t107)) % 0.52/0.76 (define @t109 () (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t108 @t105)) (tptp.multiply tptp.identity (tptp.multiply @t105 @t105)))) % 0.52/0.76 (define @t110 () (tptp.multiply tptp.identity (tptp.multiply @t89 @t89))) % 0.52/0.76 (define @t111 () (tptp.multiply tptp.identity (tptp.multiply @t80 @t80))) % 0.52/0.76 (define @t112 () (tptp.multiply (tptp.multiply @t24 (tptp.multiply @t25 @t80)) @t111)) % 0.52/0.76 (define @t113 () (tptp.multiply tptp.identity (tptp.multiply @t112 @t112))) % 0.52/0.76 (define @t114 () (tptp.multiply tptp.a @t36)) % 0.52/0.76 (define @t115 () (tptp.multiply @t114 @t48)) % 0.52/0.76 (define @t116 () (tptp.multiply tptp.a @t115)) % 0.52/0.76 (define @t117 () (tptp.multiply @t116 @t68)) % 0.52/0.76 (define @t118 () (tptp.multiply tptp.identity (tptp.multiply @t117 @t117))) % 0.52/0.76 (define @t119 () (tptp.multiply tptp.identity (tptp.multiply @t118 @t118))) % 0.52/0.76 (define @t120 () (tptp.multiply @t24 @t26)) % 0.52/0.76 (define @t121 () (tptp.multiply (tptp.multiply @t24 (tptp.multiply @t120 @t56)) @t80)) % 0.52/0.76 (define @t122 () (tptp.multiply @t61 @t26)) % 0.52/0.76 (define @t123 () (tptp.multiply tptp.a @t122)) % 0.52/0.76 (define @t124 () (tptp.multiply @t123 (tptp.multiply (tptp.multiply @t123 @t47) @t22))) % 0.52/0.76 (define @t125 () (tptp.multiply (tptp.multiply @t124 (tptp.multiply (tptp.multiply @t124 @t48) @t121)) (tptp.multiply tptp.identity (tptp.multiply @t121 @t121)))) % 0.52/0.76 (define @t126 () (tptp.multiply tptp.identity (tptp.multiply @t125 @t125))) % 0.52/0.76 (define @t127 () (tptp.multiply tptp.identity (tptp.multiply @t48 @t92))) % 0.52/0.76 (define @t128 () (tptp.multiply @t92 @t92)) % 0.52/0.76 (define @t129 () (tptp.multiply tptp.identity @t128)) % 0.52/0.76 (define @t130 () (tptp.multiply @t129 @t129)) % 0.52/0.76 (define @t131 () (tptp.multiply tptp.identity @t130)) % 0.52/0.76 (define @t132 () (tptp.multiply tptp.identity @t103)) % 0.52/0.76 (define @t133 () (tptp.multiply @t132 @t129)) % 0.52/0.76 (define @t134 () (tptp.multiply tptp.identity @t133)) % 0.52/0.76 (define @t135 () (tptp.multiply @t134 @t131)) % 0.52/0.76 (define @t136 () (tptp.multiply tptp.identity @t11)) % 0.52/0.76 (define @t137 () (= tptp.identity @t136)) % 0.52/0.76 (define @t138 () (tptp.multiply @t136 tptp.identity)) % 0.52/0.76 (define @t139 () (tptp.multiply tptp.identity @t138)) % 0.52/0.76 (define @t140 () (tptp.multiply @t139 @t9)) % 0.52/0.76 (define @t141 () (tptp.multiply tptp.identity @t140)) % 0.52/0.76 (define @t142 () (= @t11 @t141)) % 0.52/0.76 (define @t143 () (tptp.multiply @t9 @t9)) % 0.52/0.76 (define @t144 () (= @t10 (tptp.multiply tptp.identity (tptp.multiply @t136 (tptp.multiply tptp.identity @t143))))) % 0.52/0.76 (define @t145 () (= tptp.a @t18)) % 0.52/0.76 (define @t146 () (tptp.multiply @t18 @t15)) % 0.52/0.76 (define @t147 () (tptp.multiply tptp.a @t146)) % 0.52/0.76 (define @t148 () (tptp.multiply @t147 @t22)) % 0.52/0.76 (define @t149 () (tptp.multiply tptp.a @t148)) % 0.52/0.76 (define @t150 () (= @t15 @t149)) % 0.52/0.76 (define @t151 () (tptp.multiply tptp.a @t20)) % 0.52/0.76 (define @t152 () (= @t15 @t151)) % 0.52/0.76 (define @t153 () (= @t13 @t32)) % 0.52/0.76 (define @t154 () (tptp.multiply @t18 @t19)) % 0.52/0.76 (define @t155 () (= @t15 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a @t154) @t29)))) % 0.52/0.76 (define @t156 () (tptp.multiply @t18 @t20)) % 0.52/0.76 (define @t157 () (tptp.multiply tptp.a @t156)) % 0.52/0.76 (define @t158 () (tptp.multiply @t157 @t30)) % 0.52/0.76 (define @t159 () (tptp.multiply tptp.a @t158)) % 0.52/0.76 (define @t160 () (= @t15 @t159)) % 0.52/0.76 (define @t161 () (= tptp.a @t35)) % 0.52/0.76 (define @t162 () (tptp.multiply tptp.a @t25)) % 0.52/0.76 (define @t163 () (= @t6 @t162)) % 0.52/0.76 (define @t164 () (= @t6 @t31)) % 0.52/0.76 (define @t165 () (= @t15 @t61)) % 0.52/0.76 (define @t166 () (tptp.multiply @t25 @t25)) % 0.52/0.76 (define @t167 () (tptp.multiply tptp.identity @t166)) % 0.52/0.76 (define @t168 () (tptp.multiply @t35 @t25)) % 0.52/0.76 (define @t169 () (tptp.multiply tptp.a @t168)) % 0.52/0.76 (define @t170 () (tptp.multiply @t169 @t167)) % 0.52/0.76 (define @t171 () (tptp.multiply tptp.a @t170)) % 0.52/0.76 (define @t172 () (= @t27 @t171)) % 0.52/0.76 (define @t173 () (= tptp.identity @t53)) % 0.52/0.76 (define @t174 () (tptp.multiply @t162 tptp.a)) % 0.52/0.76 (define @t175 () (tptp.multiply tptp.a @t174)) % 0.52/0.76 (define @t176 () (tptp.multiply @t175 @t12)) % 0.52/0.76 (define @t177 () (tptp.multiply tptp.a @t176)) % 0.52/0.76 (define @t178 () (= @t25 @t177)) % 0.52/0.76 (define @t179 () (tptp.multiply tptp.a @t46)) % 0.52/0.76 (define @t180 () (= @t13 @t179)) % 0.52/0.76 (define @t181 () (= @t27 @t114)) % 0.52/0.76 (define @t182 () (= @t21 @t47)) % 0.52/0.76 (define @t183 () (tptp.multiply @t61 @t17)) % 0.52/0.76 (define @t184 () (tptp.multiply tptp.a @t183)) % 0.52/0.76 (define @t185 () (tptp.multiply @t184 @t31)) % 0.52/0.76 (define @t186 () (tptp.multiply tptp.a @t185)) % 0.52/0.76 (define @t187 () (= @t33 @t186)) % 0.52/0.76 (define @t188 () (= @t16 @t48)) % 0.52/0.76 (define @t189 () (= @t19 @t106)) % 0.52/0.76 (define @t190 () (tptp.multiply @t114 @t17)) % 0.52/0.76 (define @t191 () (tptp.multiply tptp.a @t190)) % 0.52/0.76 (define @t192 () (tptp.multiply @t191 @t31)) % 0.52/0.76 (define @t193 () (tptp.multiply tptp.a @t192)) % 0.52/0.76 (define @t194 () (= @t36 @t193)) % 0.52/0.76 (define @t195 () (tptp.multiply @t53 @t28)) % 0.52/0.76 (define @t196 () (tptp.multiply tptp.identity @t195)) % 0.52/0.76 (define @t197 () (tptp.multiply @t196 @t38)) % 0.52/0.76 (define @t198 () (tptp.multiply tptp.identity @t197)) % 0.52/0.76 (define @t199 () (= @t40 @t198)) % 0.52/0.76 (define @t200 () (= @t17 (tptp.multiply @t15 @t56))) % 0.52/0.76 (define @t201 () (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply @t53 @t41)) @t60)) % 0.52/0.76 (define @t202 () (tptp.multiply tptp.identity @t201)) % 0.52/0.76 (define @t203 () (= @t40 @t202)) % 0.52/0.76 (define @t204 () (tptp.multiply tptp.identity @t54)) % 0.52/0.76 (define @t205 () (= @t40 @t204)) % 0.52/0.76 (define @t206 () (= @t46 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t179 @t31)) @t48)))) % 0.52/0.76 (define @t207 () (= @t6 (tptp.multiply tptp.identity @t96))) % 0.52/0.76 (define @t208 () (tptp.multiply @t114 @t43)) % 0.52/0.76 (define @t209 () (tptp.multiply tptp.a @t208)) % 0.52/0.76 (define @t210 () (tptp.multiply @t209 @t67)) % 0.52/0.76 (define @t211 () (tptp.multiply tptp.a @t210)) % 0.52/0.76 (define @t212 () (= @t36 @t211)) % 0.52/0.76 (define @t213 () (tptp.multiply tptp.a @t58)) % 0.52/0.76 (define @t214 () (= @t15 @t213)) % 0.52/0.76 (define @t215 () (tptp.multiply tptp.a @t50)) % 0.52/0.76 (define @t216 () (= tptp.a @t215)) % 0.52/0.76 (define @t217 () (= @t28 @t68)) % 0.52/0.76 (define @t218 () (tptp.multiply tptp.a @t117)) % 0.52/0.76 (define @t219 () (= @t36 @t218)) % 0.52/0.76 (define @t220 () (tptp.multiply @t215 tptp.a)) % 0.52/0.76 (define @t221 () (tptp.multiply tptp.a @t220)) % 0.52/0.76 (define @t222 () (tptp.multiply @t221 @t12)) % 0.52/0.76 (define @t223 () (tptp.multiply tptp.a @t222)) % 0.52/0.76 (define @t224 () (= @t50 @t223)) % 0.52/0.76 (define @t225 () (tptp.multiply @t204 @t41)) % 0.52/0.76 (define @t226 () (tptp.multiply tptp.identity @t225)) % 0.52/0.76 (define @t227 () (tptp.multiply @t226 @t60)) % 0.52/0.76 (define @t228 () (tptp.multiply tptp.identity @t227)) % 0.52/0.76 (define @t229 () (= @t54 @t228)) % 0.52/0.76 (define @t230 () (tptp.multiply @t6 @t6)) % 0.52/0.76 (define @t231 () (tptp.multiply tptp.identity @t230)) % 0.52/0.76 (define @t232 () (tptp.multiply @t65 @t6)) % 0.52/0.76 (define @t233 () (tptp.multiply @t12 @t232)) % 0.52/0.76 (define @t234 () (tptp.multiply @t233 @t231)) % 0.52/0.76 (define @t235 () (tptp.multiply @t12 @t234)) % 0.52/0.76 (define @t236 () (= @t38 @t235)) % 0.52/0.76 (define @t237 () (tptp.multiply @t18 @t58)) % 0.52/0.76 (define @t238 () (tptp.multiply @t237 @t56)) % 0.52/0.76 (define @t239 () (tptp.multiply @t18 @t238)) % 0.52/0.76 (define @t240 () (tptp.multiply @t239 @t80)) % 0.52/0.76 (define @t241 () (tptp.multiply @t18 @t240)) % 0.52/0.76 (define @t242 () (= @t58 @t241)) % 0.52/0.76 (define @t243 () (= @t58 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t213 @t43)) @t67)))) % 0.52/0.76 (define @t244 () (tptp.multiply @t204 @t59)) % 0.52/0.76 (define @t245 () (tptp.multiply tptp.identity @t244)) % 0.52/0.76 (define @t246 () (tptp.multiply @t245 @t99)) % 0.52/0.76 (define @t247 () (tptp.multiply tptp.identity @t246)) % 0.52/0.76 (define @t248 () (= @t54 @t247)) % 0.52/0.76 (define @t249 () (tptp.multiply @t68 @t28)) % 0.52/0.76 (define @t250 () (tptp.multiply tptp.identity @t249)) % 0.52/0.76 (define @t251 () (tptp.multiply @t250 @t38)) % 0.52/0.76 (define @t252 () (tptp.multiply tptp.identity @t251)) % 0.52/0.76 (define @t253 () (= @t59 @t252)) % 0.52/0.76 (define @t254 () (= @t38 (tptp.multiply @t39 @t78))) % 0.52/0.76 (define @t255 () (tptp.multiply tptp.identity @t82)) % 0.52/0.76 (define @t256 () (tptp.multiply @t83 @t255)) % 0.52/0.76 (define @t257 () (= @t21 (tptp.multiply tptp.identity @t256))) % 0.52/0.76 (define @t258 () (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t32 @t63)) (tptp.multiply tptp.identity (tptp.multiply @t63 @t63)))) % 0.52/0.76 (define @t259 () (= @t19 (tptp.multiply tptp.a @t258))) % 0.52/0.76 (define @t260 () (tptp.multiply @t95 @t95)) % 0.52/0.76 (define @t261 () (tptp.multiply tptp.identity @t260)) % 0.52/0.76 (define @t262 () (= @t37 @t261)) % 0.52/0.76 (define @t263 () (= @t54 (tptp.multiply @t66 @t74))) % 0.52/0.76 (define @t264 () (= @t19 (tptp.multiply tptp.a @t81))) % 0.52/0.76 (define @t265 () (tptp.multiply tptp.identity @t79)) % 0.52/0.76 (define @t266 () (= @t41 @t265)) % 0.52/0.76 (define @t267 () (= @t42 @t104)) % 0.52/0.76 (define @t268 () (= @t62 @t108)) % 0.52/0.76 (define @t269 () (tptp.multiply tptp.identity @t74)) % 0.52/0.76 (define @t270 () (tptp.multiply @t269 @t28)) % 0.52/0.76 (define @t271 () (tptp.multiply tptp.identity @t270)) % 0.52/0.76 (define @t272 () (tptp.multiply @t271 @t38)) % 0.52/0.76 (define @t273 () (tptp.multiply tptp.identity @t272)) % 0.52/0.76 (define @t274 () (= @t74 @t273)) % 0.52/0.76 (define @t275 () (tptp.multiply @t16 @t16)) % 0.52/0.76 (define @t276 () (tptp.multiply tptp.identity @t275)) % 0.52/0.76 (define @t277 () (tptp.multiply @t17 @t52)) % 0.52/0.76 (define @t278 () (tptp.multiply @t277 @t16)) % 0.52/0.76 (define @t279 () (tptp.multiply @t17 @t278)) % 0.52/0.76 (define @t280 () (tptp.multiply @t279 @t276)) % 0.52/0.76 (define @t281 () (tptp.multiply @t17 @t280)) % 0.52/0.76 (define @t282 () (= @t52 @t281)) % 0.52/0.76 (define @t283 () (tptp.multiply @t12 @t78)) % 0.52/0.76 (define @t284 () (tptp.multiply tptp.identity @t283)) % 0.52/0.76 (define @t285 () (tptp.multiply @t284 @t92)) % 0.52/0.76 (define @t286 () (tptp.multiply tptp.identity @t285)) % 0.52/0.76 (define @t287 () (= @t6 @t286)) % 0.52/0.76 (define @t288 () (tptp.multiply @t265 @t41)) % 0.52/0.76 (define @t289 () (= @t79 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity @t288) @t60)))) % 0.52/0.76 (define @t290 () (tptp.multiply @t12 @t89)) % 0.52/0.76 (define @t291 () (= @t12 @t290)) % 0.52/0.76 (define @t292 () (tptp.multiply @t18 @t81)) % 0.52/0.76 (define @t293 () (tptp.multiply @t292 @t80)) % 0.52/0.76 (define @t294 () (tptp.multiply @t18 @t293)) % 0.52/0.76 (define @t295 () (tptp.multiply @t294 @t111)) % 0.52/0.76 (define @t296 () (tptp.multiply @t18 @t295)) % 0.52/0.76 (define @t297 () (= @t81 @t296)) % 0.52/0.76 (define @t298 () (tptp.multiply @t52 @t59)) % 0.52/0.76 (define @t299 () (tptp.multiply tptp.identity @t298)) % 0.52/0.76 (define @t300 () (tptp.multiply @t299 @t99)) % 0.52/0.76 (define @t301 () (tptp.multiply tptp.identity @t300)) % 0.52/0.76 (define @t302 () (= @t51 @t301)) % 0.52/0.76 (define @t303 () (tptp.multiply @t39 @t88)) % 0.52/0.76 (define @t304 () (= @t38 @t303)) % 0.52/0.76 (define @t305 () (= @t74 (tptp.multiply @t83 @t87))) % 0.52/0.76 (define @t306 () (tptp.multiply tptp.identity @t87)) % 0.52/0.76 (define @t307 () (tptp.multiply @t306 @t41)) % 0.52/0.76 (define @t308 () (tptp.multiply tptp.identity @t307)) % 0.52/0.76 (define @t309 () (tptp.multiply @t308 @t60)) % 0.52/0.76 (define @t310 () (tptp.multiply tptp.identity @t309)) % 0.52/0.76 (define @t311 () (= @t87 @t310)) % 0.52/0.76 (define @t312 () (tptp.multiply @t39 @t89)) % 0.52/0.76 (define @t313 () (tptp.multiply @t39 (tptp.multiply @t312 @t88))) % 0.52/0.76 (define @t314 () (tptp.multiply @t313 @t101)) % 0.52/0.76 (define @t315 () (= @t89 (tptp.multiply @t39 @t314))) % 0.52/0.76 (define @t316 () (= @t6 @t132)) % 0.52/0.76 (define @t317 () (tptp.multiply tptp.a @t98)) % 0.52/0.76 (define @t318 () (= @t19 @t317)) % 0.52/0.76 (define @t319 () (tptp.multiply @t17 @t37)) % 0.52/0.76 (define @t320 () (tptp.multiply @t319 @t38)) % 0.52/0.76 (define @t321 () (tptp.multiply @t17 @t320)) % 0.52/0.76 (define @t322 () (= @t17 @t321)) % 0.52/0.76 (define @t323 () (tptp.multiply @t127 @t129)) % 0.52/0.76 (define @t324 () (= @t42 (tptp.multiply tptp.identity @t323))) % 0.52/0.76 (define @t325 () (tptp.multiply @t102 @t68)) % 0.52/0.76 (define @t326 () (tptp.multiply @t12 @t325)) % 0.52/0.76 (define @t327 () (tptp.multiply @t326 @t104)) % 0.52/0.76 (define @t328 () (tptp.multiply @t12 @t327)) % 0.52/0.76 (define @t329 () (= @t88 @t328)) % 0.52/0.76 (define @t330 () (tptp.multiply (tptp.multiply @t97 (tptp.multiply (tptp.multiply @t97 @t87) @t94)) (tptp.multiply tptp.identity (tptp.multiply @t94 @t94)))) % 0.52/0.76 (define @t331 () (= @t87 (tptp.multiply @t97 @t330))) % 0.52/0.76 (define @t332 () (tptp.multiply @t317 @t68)) % 0.52/0.76 (define @t333 () (tptp.multiply tptp.a @t332)) % 0.52/0.76 (define @t334 () (tptp.multiply @t333 @t104)) % 0.52/0.76 (define @t335 () (tptp.multiply tptp.a @t334)) % 0.52/0.76 (define @t336 () (= @t98 @t335)) % 0.52/0.76 (define @t337 () (= @t98 (tptp.multiply @t18 (tptp.multiply (tptp.multiply @t18 (tptp.multiply (tptp.multiply @t18 @t98) @t80)) @t111)))) % 0.52/0.76 (define @t338 () (= @t103 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply @t132 @t99)) (tptp.multiply tptp.identity (tptp.multiply @t99 @t99)))))) % 0.52/0.76 (define @t339 () (tptp.multiply (tptp.multiply tptp.a (tptp.multiply @t18 @t109)) (tptp.multiply tptp.identity (tptp.multiply @t109 @t109)))) % 0.52/0.76 (define @t340 () (= @t15 (tptp.multiply tptp.a @t339))) % 0.52/0.76 (define @t341 () (tptp.multiply (tptp.multiply @t12 (tptp.multiply @t16 @t110)) (tptp.multiply tptp.identity (tptp.multiply @t110 @t110)))) % 0.52/0.76 (define @t342 () (tptp.multiply @t12 @t341)) % 0.52/0.76 (define @t343 () (= @t12 @t342)) % 0.52/0.76 (define @t344 () (tptp.multiply (tptp.multiply @t24 (tptp.multiply @t25 @t113)) (tptp.multiply tptp.identity (tptp.multiply @t113 @t113)))) % 0.52/0.76 (define @t345 () (= @t17 (tptp.multiply @t24 @t344))) % 0.52/0.76 (define @t346 () (tptp.multiply (tptp.multiply @t33 (tptp.multiply (tptp.multiply @t33 @t33) @t119)) (tptp.multiply tptp.identity (tptp.multiply @t119 @t119)))) % 0.52/0.76 (define @t347 () (= @t33 (tptp.multiply @t33 @t346))) % 0.52/0.76 (define @t348 () (tptp.multiply (tptp.multiply @t49 (tptp.multiply @t50 @t126)) (tptp.multiply tptp.identity (tptp.multiply @t126 @t126)))) % 0.52/0.76 (define @t349 () (= @t48 (tptp.multiply @t49 @t348))) % 0.52/0.76 (define @t350 () (tptp.multiply (tptp.multiply @t127 (tptp.multiply (tptp.multiply @t127 @t31) @t42)) @t52)) % 0.52/0.76 (define @t351 () (= @t31 (tptp.multiply @t127 @t350))) % 0.52/0.76 (define @t352 () (tptp.multiply tptp.identity @t135)) % 0.52/0.76 (define @t353 () (= @t103 @t352)) % 0.52/0.76 (define @t354 () (= @t135 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply @t352 @t28)) @t38)))) % 0.52/0.76 (define @t355 () (tptp.multiply @t53 @t40)) % 0.52/0.76 (define @t356 () (tptp.multiply @t204 @t42)) % 0.52/0.76 (define @t357 () (tptp.multiply @t27 @t27)) % 0.52/0.76 (define @t358 () (tptp.multiply @t6 @t350)) % 0.52/0.76 (define @t359 () (tptp.multiply @t120 @t344)) % 0.52/0.76 (define @t360 () (tptp.multiply @t342 @t341)) % 0.52/0.76 (define @t361 () (tptp.multiply @t40 @t101)) % 0.52/0.76 (define @t362 () (tptp.multiply @t269 @t74)) % 0.52/0.76 (define @t363 () (tptp.multiply @t256 @t256)) % 0.52/0.76 (define @t364 () (tptp.multiply tptp.identity @t363)) % 0.52/0.76 (define @t365 () (tptp.multiply @t269 @t256)) % 0.52/0.76 (define @t366 () (tptp.multiply tptp.identity @t365)) % 0.52/0.76 (define @t367 () (tptp.multiply tptp.identity @t330)) % 0.52/0.76 (define @t368 () (tptp.multiply @t313 @t330)) % 0.52/0.76 (define @t369 () (tptp.multiply @t368 @t100)) % 0.52/0.76 (define @t370 () (tptp.multiply @t99 @t37)) % 0.52/0.76 (define @t371 () (tptp.multiply tptp.identity @t370)) % 0.52/0.76 (define @t372 () (tptp.multiply @t371 @t75)) % 0.52/0.76 (define @t373 () (tptp.multiply @t135 @t135)) % 0.52/0.76 (define @t374 () (tptp.multiply @t204 @t95)) % 0.52/0.76 (define @t375 () (tptp.multiply tptp.identity @t374)) % 0.52/0.76 (define @t376 () (tptp.multiply @t215 @t30)) % 0.52/0.76 (define @t377 () (tptp.multiply tptp.a @t376)) % 0.52/0.76 (define @t378 () (tptp.multiply @t61 @t34)) % 0.52/0.76 (define @t379 () (tptp.multiply @t378 @t348)) % 0.52/0.76 (define @t380 () (tptp.multiply @t18 @t62)) % 0.52/0.76 (define @t381 () (tptp.multiply @t18 @t258)) % 0.52/0.76 (define @t382 () (tptp.multiply @t35 @t17)) % 0.52/0.76 (define @t383 () (tptp.multiply tptp.a @t382)) % 0.52/0.76 (define @t384 () (tptp.multiply @t18 @t339)) % 0.52/0.76 (define @t385 () (tptp.multiply @t384 @t344)) % 0.52/0.76 (define @t386 () (tptp.multiply @t49 @t346)) % 0.52/0.76 (define @t387 () (tptp.multiply @t386 @t348)) % 0.52/0.76 (define @t388 () (tptp.multiply @t321 @t320)) % 0.52/0.76 (define @t389 () (= tptp.identity @t7)) % 0.52/0.76 (define @t390 () (and @t137 @t142 @t144 @t145 @t150 @t152 @t153 @t155 @t160 @t161 @t163 @t164 @t165 @t172 @t173 @t178 @t180 @t181 @t182 @t187 @t188 @t189 @t194 @t199 @t200 @t203 @t205 @t206 @t207 @t212 @t214 @t216 @t217 @t219 @t224 @t229 @t236 @t242 @t243 @t248 @t253 @t254 @t257 @t259 @t262 @t263 @t264 @t266 @t267 @t268 @t274 @t282 @t287 @t289 @t291 @t297 @t302 @t304 @t305 @t311 @t315 @t316 @t318 @t322 @t324 @t329 @t331 @t336 @t337 @t338 @t340 @t343 @t345 @t347 @t349 @t351 @t353 @t354)) % 0.52/0.76 (assume @p1 @t5) % 0.52/0.76 (assume @p2 (not (= @t7 tptp.identity))) % 0.52/0.76 (step @p3 :rule symm :premises (@p2)) % 0.52/0.76 (step @p4 :rule eq-symm :args (@t4 @t1)) % 0.52/0.76 (step @p5 :rule cong :premises (@p4) :args (@t5)) % 0.52/0.76 (step @p6 :rule eq_resolve :premises (@p1 @p5)) % 0.52/0.76 (step @p7 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.identity tptp.identity))) % 0.52/0.76 (step @p8 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t11 tptp.identity))) % 0.52/0.76 (step @p9 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t10 @t9))) % 0.52/0.76 (step @p10 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.a tptp.a))) % 0.52/0.76 (step @p11 :rule instantiate :premises (@p6) :args ((@list tptp.a @t15 @t15))) % 0.52/0.76 (step @p12 :rule instantiate :premises (@p6) :args ((@list tptp.a @t15 tptp.a))) % 0.52/0.76 (step @p13 :rule instantiate :premises (@p6) :args ((@list tptp.a @t13 @t12))) % 0.52/0.76 (step @p14 :rule instantiate :premises (@p6) :args ((@list tptp.a @t15 @t19))) % 0.52/0.76 (step @p15 :rule instantiate :premises (@p6) :args ((@list tptp.a @t15 @t20))) % 0.52/0.76 (step @p16 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.a @t22))) % 0.52/0.76 (step @p17 :rule instantiate :premises (@p6) :args ((@list tptp.a @t6 @t12))) % 0.52/0.76 (step @p18 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t6 @t12))) % 0.52/0.76 (step @p19 :rule instantiate :premises (@p6) :args ((@list tptp.a @t15 @t17))) % 0.52/0.76 (step @p20 :rule instantiate :premises (@p6) :args ((@list tptp.a @t27 @t25))) % 0.52/0.76 (step @p21 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.identity @t28))) % 0.52/0.76 (step @p22 :rule instantiate :premises (@p6) :args ((@list tptp.a @t25 tptp.a))) % 0.52/0.76 (step @p23 :rule instantiate :premises (@p6) :args ((@list tptp.a @t13 @t29))) % 0.52/0.76 (step @p24 :rule instantiate :premises (@p6) :args ((@list tptp.a @t27 @t30))) % 0.52/0.76 (step @p25 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t21 @t22))) % 0.52/0.76 (step @p26 :rule instantiate :premises (@p6) :args ((@list tptp.a @t33 @t17))) % 0.52/0.76 (step @p27 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t16 @t17))) % 0.52/0.76 (step @p28 :rule instantiate :premises (@p6) :args ((@list tptp.a @t19 @t31))) % 0.52/0.76 (step @p29 :rule instantiate :premises (@p6) :args ((@list tptp.a @t36 @t17))) % 0.52/0.76 (step @p30 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t40 @t28))) % 0.52/0.76 (step @p31 :rule instantiate :premises (@p6) :args ((@list @t15 @t17 @t36))) % 0.52/0.76 (step @p32 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t40 @t41))) % 0.52/0.76 (step @p33 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t40 @t42))) % 0.52/0.76 (step @p34 :rule instantiate :premises (@p6) :args ((@list tptp.a @t46 @t31))) % 0.52/0.76 (step @p35 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t6 @t38))) % 0.52/0.76 (step @p36 :rule instantiate :premises (@p6) :args ((@list tptp.a @t36 @t43))) % 0.52/0.76 (step @p37 :rule instantiate :premises (@p6) :args ((@list tptp.a @t15 @t47))) % 0.52/0.76 (step @p38 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.a @t31))) % 0.52/0.76 (step @p39 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t28 @t31))) % 0.52/0.76 (step @p40 :rule instantiate :premises (@p6) :args ((@list tptp.a @t36 @t48))) % 0.52/0.76 (step @p41 :rule instantiate :premises (@p6) :args ((@list tptp.a @t50 tptp.a))) % 0.52/0.76 (step @p42 :rule instantiate :premises (@p6) :args ((@list tptp.identity @t54 @t41))) % 0.52/0.76 (step @p43 :rule instantiate :premises (@p6) :args ((@list @t12 @t38 @t6))) 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(not @t305) (not @t311) (not @t315) (not @t316) (not @t318) (not @t322) (not @t324) (not @t329) (not @t331) (not @t336) (not @t337) (not @t338) (not @t340) (not @t343) (not @t345) (not @t347) (not @t349) (not @t351) (not @t353) (not @t354)))) % 0.52/0.77 (step @p974 false :rule chain_m_resolution :premises (@p973 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @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 @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 @p13 @p12 @p11 @p10 @p9 @p8 @p7 @p3) :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 true) (@list @t354 @t353 @t351 @t349 @t347 @t345 @t343 @t340 @t338 @t337 @t336 @t331 @t329 @t324 @t322 @t318 @t316 @t315 @t311 @t305 @t304 @t302 @t297 @t291 @t289 @t287 @t282 @t274 @t268 @t267 @t266 @t264 @t263 @t262 @t259 @t257 @t254 @t253 @t248 @t243 @t242 @t236 @t229 @t224 @t219 @t217 @t216 @t214 @t212 @t207 @t206 @t205 @t203 @t200 @t199 @t194 @t189 @t188 @t187 @t182 @t181 @t180 @t178 @t173 @t172 @t165 @t164 @t163 @t161 @t160 @t155 @t153 @t152 @t150 @t145 @t144 @t142 @t137 @t389))) % 0.52/0.77 ) % 0.52/0.77 % SZS output end Proof % 0.52/0.77 % cvc5 exiting %------------------------------------------------------------------------------