%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG139+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:05:19 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.60s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG139+1 : TPTP v9.2.1. Released v2.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 : Wed Jun 3 01:40:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.60 % SZS status Unsatisfiable % 0.36/0.60 % SZS output start Proof % 0.44/0.64 ( % 0.44/0.64 (declare-sort $$unsorted 0) % 0.44/0.64 (declare-const tptp.e0 $$unsorted) % 0.44/0.64 (declare-const tptp.e1 $$unsorted) % 0.44/0.64 (declare-const tptp.e2 $$unsorted) % 0.44/0.64 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.e3 $$unsorted) % 0.44/0.64 (define @t1 () (tptp.op tptp.e3 tptp.e3)) % 0.44/0.64 (define @t2 () (= @t1 tptp.e3)) % 0.44/0.64 (define @t3 () (= @t1 tptp.e2)) % 0.44/0.64 (define @t4 () (= @t1 tptp.e1)) % 0.44/0.64 (define @t5 () (= @t1 tptp.e0)) % 0.44/0.64 (define @t6 () (tptp.op tptp.e3 tptp.e2)) % 0.44/0.64 (define @t7 () (= @t6 tptp.e3)) % 0.44/0.64 (define @t8 () (= @t6 tptp.e2)) % 0.44/0.64 (define @t9 () (= @t6 tptp.e1)) % 0.44/0.64 (define @t10 () (= @t6 tptp.e0)) % 0.44/0.64 (define @t11 () (tptp.op tptp.e3 tptp.e1)) % 0.44/0.64 (define @t12 () (= @t11 tptp.e3)) % 0.44/0.64 (define @t13 () (= @t11 tptp.e2)) % 0.44/0.64 (define @t14 () (= @t11 tptp.e1)) % 0.44/0.64 (define @t15 () (= @t11 tptp.e0)) % 0.44/0.64 (define @t16 () (tptp.op tptp.e3 tptp.e0)) % 0.44/0.64 (define @t17 () (= @t16 tptp.e3)) % 0.44/0.64 (define @t18 () (= @t16 tptp.e2)) % 0.44/0.64 (define @t19 () (= @t16 tptp.e1)) % 0.44/0.64 (define @t20 () (= @t16 tptp.e0)) % 0.44/0.64 (define @t21 () (tptp.op tptp.e2 tptp.e3)) % 0.44/0.64 (define @t22 () (= @t21 tptp.e3)) % 0.44/0.64 (define @t23 () (= @t21 tptp.e2)) % 0.44/0.64 (define @t24 () (= @t21 tptp.e1)) % 0.44/0.64 (define @t25 () (= @t21 tptp.e0)) % 0.44/0.64 (define @t26 () (tptp.op tptp.e2 tptp.e2)) % 0.44/0.64 (define @t27 () (= @t26 tptp.e3)) % 0.44/0.64 (define @t28 () (= @t26 tptp.e2)) % 0.44/0.64 (define @t29 () (= @t26 tptp.e1)) % 0.44/0.64 (define @t30 () (= @t26 tptp.e0)) % 0.44/0.64 (define @t31 () (tptp.op tptp.e2 tptp.e1)) % 0.44/0.64 (define @t32 () (= @t31 tptp.e3)) % 0.44/0.64 (define @t33 () (= @t31 tptp.e2)) % 0.44/0.64 (define @t34 () (= @t31 tptp.e1)) % 0.44/0.64 (define @t35 () (= @t31 tptp.e0)) % 0.44/0.64 (define @t36 () (tptp.op tptp.e2 tptp.e0)) % 0.44/0.64 (define @t37 () (= @t36 tptp.e3)) % 0.44/0.64 (define @t38 () (= @t36 tptp.e2)) % 0.44/0.64 (define @t39 () (= @t36 tptp.e1)) % 0.44/0.64 (define @t40 () (= @t36 tptp.e0)) % 0.44/0.64 (define @t41 () (tptp.op tptp.e1 tptp.e3)) % 0.44/0.64 (define @t42 () (= @t41 tptp.e3)) % 0.44/0.64 (define @t43 () (= @t41 tptp.e2)) % 0.44/0.64 (define @t44 () (= @t41 tptp.e1)) % 0.44/0.64 (define @t45 () (= @t41 tptp.e0)) % 0.44/0.64 (define @t46 () (tptp.op tptp.e1 tptp.e2)) % 0.44/0.64 (define @t47 () (= @t46 tptp.e3)) % 0.44/0.64 (define @t48 () (= @t46 tptp.e2)) % 0.44/0.64 (define @t49 () (= @t46 tptp.e1)) % 0.44/0.64 (define @t50 () (= @t46 tptp.e0)) % 0.44/0.64 (define @t51 () (tptp.op tptp.e1 tptp.e1)) % 0.44/0.64 (define @t52 () (= @t51 tptp.e3)) % 0.44/0.64 (define @t53 () (= @t51 tptp.e2)) % 0.44/0.64 (define @t54 () (= @t51 tptp.e1)) % 0.44/0.64 (define @t55 () (= @t51 tptp.e0)) % 0.44/0.64 (define @t56 () (tptp.op tptp.e1 tptp.e0)) % 0.44/0.64 (define @t57 () (= @t56 tptp.e3)) % 0.44/0.64 (define @t58 () (= @t56 tptp.e2)) % 0.44/0.64 (define @t59 () (= @t56 tptp.e1)) % 0.44/0.64 (define @t60 () (= @t56 tptp.e0)) % 0.44/0.64 (define @t61 () (tptp.op tptp.e0 tptp.e3)) % 0.44/0.64 (define @t62 () (= @t61 tptp.e3)) % 0.44/0.64 (define @t63 () (= @t61 tptp.e2)) % 0.44/0.64 (define @t64 () (= @t61 tptp.e1)) % 0.44/0.64 (define @t65 () (= @t61 tptp.e0)) % 0.44/0.64 (define @t66 () (tptp.op tptp.e0 tptp.e2)) % 0.44/0.64 (define @t67 () (= @t66 tptp.e3)) % 0.44/0.64 (define @t68 () (= @t66 tptp.e2)) % 0.44/0.64 (define @t69 () (= @t66 tptp.e1)) % 0.44/0.64 (define @t70 () (= @t66 tptp.e0)) % 0.44/0.64 (define @t71 () (tptp.op tptp.e0 tptp.e1)) % 0.44/0.64 (define @t72 () (= @t71 tptp.e3)) % 0.44/0.64 (define @t73 () (= @t71 tptp.e2)) % 0.44/0.64 (define @t74 () (= @t71 tptp.e1)) % 0.44/0.64 (define @t75 () (= @t71 tptp.e0)) % 0.44/0.64 (define @t76 () (tptp.op tptp.e0 tptp.e0)) % 0.44/0.64 (define @t77 () (= @t76 tptp.e3)) % 0.44/0.64 (define @t78 () (= @t76 tptp.e2)) % 0.44/0.64 (define @t79 () (= @t76 tptp.e1)) % 0.44/0.64 (define @t80 () (= @t76 tptp.e0)) % 0.44/0.64 (define @t81 () (or @t80 @t79 @t78 @t77)) % 0.44/0.64 (define @t82 () (or @t20 @t15 @t10 @t5)) % 0.44/0.64 (define @t83 () (or @t39 @t34 @t29 @t24)) % 0.44/0.64 (define @t84 () (or @t70 @t50 @t30 @t10)) % 0.44/0.64 (define @t85 () (or @t40 @t35 @t30 @t25)) % 0.44/0.64 (define @t86 () (or @t57 @t52 @t47 @t42)) % 0.44/0.64 (define @t87 () (or @t73 @t53 @t33 @t13)) % 0.44/0.64 (define @t88 () (or @t75 @t55 @t35 @t15)) % 0.44/0.64 (define @t89 () (or @t60 @t55 @t50 @t45)) % 0.44/0.64 (define @t90 () (or @t77 @t57 @t37 @t17)) % 0.44/0.64 (define @t91 () (or @t77 @t72 @t67 @t62)) % 0.44/0.64 (define @t92 () (or @t78 @t58 @t38 @t18)) % 0.44/0.64 (define @t93 () (or @t79 @t59 @t39 @t19)) % 0.44/0.64 (define @t94 () (or @t79 @t74 @t69 @t64)) % 0.44/0.64 (define @t95 () (= tptp.e2 tptp.e3)) % 0.44/0.64 (define @t96 () (not @t95)) % 0.44/0.64 (define @t97 () (= tptp.e1 tptp.e3)) % 0.44/0.64 (define @t98 () (not @t97)) % 0.44/0.64 (define @t99 () (= tptp.e1 tptp.e2)) % 0.44/0.64 (define @t100 () (not @t99)) % 0.44/0.64 (define @t101 () (= tptp.e0 tptp.e3)) % 0.44/0.64 (define @t102 () (not @t101)) % 0.44/0.64 (define @t103 () (= tptp.e0 tptp.e2)) % 0.44/0.64 (define @t104 () (not @t103)) % 0.44/0.64 (define @t105 () (= tptp.e0 tptp.e1)) % 0.44/0.64 (define @t106 () (not @t105)) % 0.44/0.64 (define @t107 () (not @t2)) % 0.44/0.64 (define @t108 () (and @t2 @t107)) % 0.44/0.64 (define @t109 () (not @t3)) % 0.44/0.64 (define @t110 () (and @t27 @t109)) % 0.44/0.64 (define @t111 () (not @t4)) % 0.44/0.64 (define @t112 () (and @t52 @t111)) % 0.44/0.64 (define @t113 () (not @t5)) % 0.44/0.64 (define @t114 () (and @t77 @t113)) % 0.44/0.64 (define @t115 () (or @t114 @t112 @t110 @t108)) % 0.44/0.64 (define @t116 () (not @t27)) % 0.44/0.64 (define @t117 () (and @t3 @t116)) % 0.44/0.64 (define @t118 () (not @t28)) % 0.44/0.64 (define @t119 () (and @t28 @t118)) % 0.44/0.64 (define @t120 () (not @t29)) % 0.44/0.64 (define @t121 () (and @t53 @t120)) % 0.44/0.64 (define @t122 () (not @t30)) % 0.44/0.64 (define @t123 () (and @t78 @t122)) % 0.44/0.64 (define @t124 () (or @t123 @t121 @t119 @t117)) % 0.44/0.64 (define @t125 () (not @t52)) % 0.44/0.64 (define @t126 () (and @t4 @t125)) % 0.44/0.64 (define @t127 () (not @t53)) % 0.44/0.64 (define @t128 () (and @t29 @t127)) % 0.44/0.64 (define @t129 () (not @t54)) % 0.44/0.64 (define @t130 () (and @t54 @t129)) % 0.44/0.64 (define @t131 () (not @t55)) % 0.44/0.64 (define @t132 () (and @t79 @t131)) % 0.44/0.64 (define @t133 () (or @t132 @t130 @t128 @t126)) % 0.44/0.64 (define @t134 () (not @t77)) % 0.44/0.64 (define @t135 () (and @t5 @t134)) % 0.44/0.64 (define @t136 () (not @t78)) % 0.44/0.64 (define @t137 () (and @t30 @t136)) % 0.44/0.64 (define @t138 () (not @t79)) % 0.44/0.64 (define @t139 () (and @t55 @t138)) % 0.44/0.64 (define @t140 () (not @t80)) % 0.44/0.64 (define @t141 () (and @t80 @t140)) % 0.44/0.64 (define @t142 () (or @t141 @t139 @t137 @t135)) % 0.44/0.64 (define @t143 () (= tptp.e3 @t26)) % 0.44/0.64 (define @t144 () (tptp.op @t26 @t26)) % 0.44/0.64 (define @t145 () (= tptp.e1 @t144)) % 0.44/0.64 (define @t146 () (tptp.op @t26 tptp.e2)) % 0.44/0.64 (define @t147 () (= tptp.e0 @t146)) % 0.44/0.64 (define @t148 () (= tptp.e2 @t1)) % 0.44/0.64 (define @t149 () (tptp.op @t1 @t1)) % 0.44/0.64 (define @t150 () (= tptp.e1 @t149)) % 0.44/0.64 (define @t151 () (tptp.op @t1 tptp.e3)) % 0.44/0.64 (define @t152 () (= tptp.e0 @t151)) % 0.44/0.64 (define @t153 () (= tptp.e3 @t51)) % 0.44/0.64 (define @t154 () (tptp.op @t51 @t51)) % 0.44/0.64 (define @t155 () (= tptp.e2 @t154)) % 0.44/0.64 (define @t156 () (tptp.op @t51 tptp.e1)) % 0.44/0.64 (define @t157 () (= tptp.e0 @t156)) % 0.44/0.64 (define @t158 () (= tptp.e1 @t1)) % 0.44/0.64 (define @t159 () (= tptp.e2 @t149)) % 0.44/0.64 (define @t160 () (= tptp.e2 @t51)) % 0.44/0.64 (define @t161 () (= tptp.e3 @t154)) % 0.44/0.64 (define @t162 () (= tptp.e1 @t26)) % 0.44/0.64 (define @t163 () (= tptp.e3 @t144)) % 0.44/0.64 (define @t164 () (= tptp.e0 @t144)) % 0.44/0.64 (define @t165 () (= tptp.e1 @t146)) % 0.44/0.64 (define @t166 () (= tptp.e0 @t149)) % 0.44/0.64 (define @t167 () (= tptp.e1 @t151)) % 0.44/0.64 (define @t168 () (= tptp.e3 @t76)) % 0.44/0.64 (define @t169 () (tptp.op @t76 @t76)) % 0.44/0.64 (define @t170 () (= tptp.e2 @t169)) % 0.44/0.64 (define @t171 () (tptp.op @t76 tptp.e0)) % 0.44/0.64 (define @t172 () (= tptp.e1 @t171)) % 0.44/0.64 (define @t173 () (= tptp.e0 @t1)) % 0.44/0.64 (define @t174 () (= tptp.e2 @t76)) % 0.44/0.64 (define @t175 () (= tptp.e3 @t169)) % 0.44/0.64 (define @t176 () (= tptp.e0 @t26)) % 0.44/0.64 (define @t177 () (= tptp.e0 @t154)) % 0.44/0.64 (define @t178 () (= tptp.e2 @t156)) % 0.44/0.64 (define @t179 () (= tptp.e2 @t151)) % 0.44/0.64 (define @t180 () (= tptp.e1 @t169)) % 0.44/0.64 (define @t181 () (= tptp.e2 @t171)) % 0.44/0.64 (define @t182 () (= tptp.e1 @t76)) % 0.44/0.64 (define @t183 () (= tptp.e0 @t51)) % 0.44/0.64 (define @t184 () (= tptp.e3 @t156)) % 0.44/0.64 (define @t185 () (= tptp.e3 @t146)) % 0.44/0.64 (define @t186 () (= tptp.e3 @t171)) % 0.44/0.64 (define @t187 () (not @t173)) % 0.44/0.64 (define @t188 () (and @t168 @t187)) % 0.44/0.64 (define @t189 () (not @t188)) % 0.44/0.64 (define @t190 () (and @t158 @t173)) % 0.44/0.64 (define @t191 () (not @t158)) % 0.44/0.64 (define @t192 () (not @t153)) % 0.44/0.64 (define @t193 () (and @t158 @t192)) % 0.44/0.64 (define @t194 () (not @t193)) % 0.44/0.64 (define @t195 () (= tptp.e0 @t21)) % 0.44/0.64 (define @t196 () (not @t195)) % 0.44/0.64 (define @t197 () (= @t1 @t21)) % 0.44/0.64 (define @t198 () (not @t197)) % 0.44/0.64 (define @t199 () (not @t198)) % 0.44/0.64 (define @t200 () (and @t173 @t198)) % 0.44/0.64 (define @t201 () (= tptp.e0 @t11)) % 0.44/0.64 (define @t202 () (not @t201)) % 0.44/0.64 (define @t203 () (= @t1 @t11)) % 0.44/0.64 (define @t204 () (not @t203)) % 0.44/0.64 (define @t205 () (not @t204)) % 0.44/0.64 (define @t206 () (and @t173 @t204)) % 0.44/0.64 (define @t207 () (not @t148)) % 0.44/0.64 (define @t208 () (not @t104)) % 0.44/0.64 (define @t209 () (= false true)) % 0.44/0.64 (define @t210 () (and @t173 @t148 @t104)) % 0.44/0.64 (define @t211 () (not @t143)) % 0.44/0.64 (define @t212 () (and @t148 @t211)) % 0.44/0.64 (define @t213 () (not @t182)) % 0.44/0.64 (define @t214 () (and @t183 @t213)) % 0.44/0.64 (define @t215 () (not @t214)) % 0.44/0.64 (define @t216 () (and @t143 @t207)) % 0.44/0.64 (define @t217 () (not @t216)) % 0.44/0.64 (define @t218 () (= tptp.e3 @t1)) % 0.44/0.64 (define @t219 () (not @t218)) % 0.44/0.64 (define @t220 () (and @t218 @t219)) % 0.44/0.64 (define @t221 () (not @t220)) % 0.44/0.64 (define @t222 () (@list false)) % 0.44/0.64 (define @t223 () (and @t153 @t191)) % 0.44/0.64 (define @t224 () (not @t160)) % 0.44/0.64 (define @t225 () (not @t96)) % 0.44/0.64 (define @t226 () (and @t96 @t153)) % 0.44/0.64 (define @t227 () (not @t162)) % 0.44/0.64 (define @t228 () (and @t160 @t227)) % 0.44/0.64 (define @t229 () (not @t228)) % 0.44/0.64 (define @t230 () (= tptp.e2 @t26)) % 0.44/0.64 (define @t231 () (not @t230)) % 0.44/0.64 (define @t232 () (and @t230 @t231)) % 0.44/0.64 (define @t233 () (not @t232)) % 0.44/0.64 (define @t234 () (not @t176)) % 0.44/0.64 (define @t235 () (and @t174 @t234)) % 0.44/0.64 (define @t236 () (not @t235)) % 0.44/0.64 (define @t237 () (not @t174)) % 0.44/0.64 (define @t238 () (and @t176 @t237)) % 0.44/0.64 (define @t239 () (not @t238)) % 0.44/0.64 (define @t240 () (= tptp.e0 @t76)) % 0.44/0.64 (define @t241 () (not @t240)) % 0.44/0.64 (define @t242 () (and @t240 @t241)) % 0.44/0.64 (define @t243 () (not @t242)) % 0.44/0.64 (define @t244 () (not @t168)) % 0.44/0.64 (define @t245 () (and @t173 @t244)) % 0.44/0.64 (define @t246 () (not @t245)) % 0.44/0.64 (define @t247 () (= tptp.e3 @t56)) % 0.44/0.64 (define @t248 () (not @t247)) % 0.44/0.64 (define @t249 () (= @t51 @t56)) % 0.44/0.64 (define @t250 () (not @t249)) % 0.44/0.64 (define @t251 () (not @t250)) % 0.44/0.64 (define @t252 () (and @t153 @t250)) % 0.44/0.64 (define @t253 () (= tptp.e0 @t6)) % 0.44/0.64 (define @t254 () (not @t253)) % 0.44/0.64 (define @t255 () (= @t1 @t6)) % 0.44/0.64 (define @t256 () (not @t255)) % 0.44/0.64 (define @t257 () (and @t173 @t256)) % 0.44/0.64 (define @t258 () (= tptp.e0 @t41)) % 0.44/0.64 (define @t259 () (not @t258)) % 0.44/0.64 (define @t260 () (= @t1 @t41)) % 0.44/0.64 (define @t261 () (not @t260)) % 0.44/0.64 (define @t262 () (and @t173 @t261)) % 0.44/0.64 (define @t263 () (not @t183)) % 0.44/0.64 (define @t264 () (and @t182 @t263)) % 0.44/0.64 (define @t265 () (= tptp.e1 @t51)) % 0.44/0.64 (define @t266 () (not @t265)) % 0.44/0.64 (define @t267 () (and @t265 @t266)) % 0.44/0.64 (define @t268 () (not @t267)) % 0.44/0.64 (define @t269 () (not @t102)) % 0.44/0.64 (define @t270 () (and @t102 @t168)) % 0.44/0.64 (define @t271 () (not @t106)) % 0.44/0.64 (define @t272 () (and @t106 @t182)) % 0.44/0.64 (define @t273 () (not @t264)) % 0.44/0.64 (define @t274 () (= tptp.e0 @t16)) % 0.44/0.64 (define @t275 () (not @t274)) % 0.44/0.64 (define @t276 () (= @t16 @t76)) % 0.44/0.64 (define @t277 () (not @t276)) % 0.44/0.64 (define @t278 () (and @t240 @t274 @t277)) % 0.44/0.64 (define @t279 () (and @t143 @t176)) % 0.44/0.64 (define @t280 () (not @t98)) % 0.44/0.64 (define @t281 () (and @t98 @t143)) % 0.44/0.64 (define @t282 () (and @t162 @t224)) % 0.44/0.64 (define @t283 () (not @t282)) % 0.44/0.64 (define @t284 () (and @t240 @t173 @t158 @t106)) % 0.44/0.64 (define @t285 () (and @t143 @t158)) % 0.44/0.64 (define @t286 () (not @t147)) % 0.44/0.64 (define @t287 () (not @t286)) % 0.44/0.64 (define @t288 () (and @t143 @t286)) % 0.44/0.64 (define @t289 () (= @t11 @t51)) % 0.44/0.64 (define @t290 () (not @t289)) % 0.44/0.64 (define @t291 () (and @t240 @t201 @t183 @t290)) % 0.44/0.64 (define @t292 () (and @t102 @t153)) % 0.44/0.64 (define @t293 () (and @t106 @t162)) % 0.44/0.64 (define @t294 () (and @t153 @t162)) % 0.44/0.64 (define @t295 () (not @t163)) % 0.44/0.64 (define @t296 () (= tptp.e0 @t46)) % 0.44/0.64 (define @t297 () (not @t296)) % 0.44/0.64 (define @t298 () (and @t162 @t286)) % 0.44/0.64 (define @t299 () (= tptp.e0 @t56)) % 0.44/0.64 (define @t300 () (not @t299)) % 0.44/0.64 (define @t301 () (= @t56 @t76)) % 0.44/0.64 (define @t302 () (not @t301)) % 0.44/0.64 (define @t303 () (and @t240 @t299 @t302)) % 0.44/0.64 (define @t304 () (= tptp.e0 @t66)) % 0.44/0.64 (define @t305 () (= tptp.e1 @t36)) % 0.44/0.64 (define @t306 () (not @t305)) % 0.44/0.64 (define @t307 () (= @t26 @t36)) % 0.44/0.64 (define @t308 () (not @t307)) % 0.44/0.64 (define @t309 () (not @t308)) % 0.44/0.64 (define @t310 () (and @t162 @t308)) % 0.44/0.64 (define @t311 () (= tptp.e1 @t56)) % 0.44/0.64 (define @t312 () (not @t311)) % 0.44/0.64 (define @t313 () (not @t304)) % 0.44/0.64 (define @t314 () (= @t26 @t66)) % 0.44/0.64 (define @t315 () (not @t314)) % 0.44/0.64 (define @t316 () (not @t315)) % 0.44/0.64 (define @t317 () (and @t162 @t173 @t315 @t304 @t299)) % 0.44/0.64 (define @t318 () (and @t162 @t174)) % 0.44/0.64 (define @t319 () (not @t186)) % 0.44/0.64 (define @t320 () (not @t180)) % 0.44/0.64 (define @t321 () (= tptp.e3 @t16)) % 0.44/0.64 (define @t322 () (not @t321)) % 0.44/0.64 (define @t323 () (= tptp.e1 @t16)) % 0.44/0.64 (define @t324 () (not @t323)) % 0.44/0.64 (define @t325 () (and @t162 @t323 @t211)) % 0.44/0.64 (define @t326 () (= tptp.e3 @t36)) % 0.44/0.64 (define @t327 () (not @t326)) % 0.44/0.64 (define @t328 () (not @t319)) % 0.44/0.64 (define @t329 () (and @t174 @t319)) % 0.44/0.64 (define @t330 () (not @t100)) % 0.44/0.64 (define @t331 () (and @t100 @t174)) % 0.44/0.64 (define @t332 () (= tptp.e3 @t46)) % 0.44/0.64 (define @t333 () (not @t332)) % 0.44/0.64 (define @t334 () (= @t26 @t46)) % 0.44/0.64 (define @t335 () (not @t334)) % 0.44/0.64 (define @t336 () (and @t143 @t335)) % 0.44/0.64 (define @t337 () (= tptp.e3 @t66)) % 0.44/0.64 (define @t338 () (not @t337)) % 0.44/0.64 (define @t339 () (and @t143 @t315)) % 0.44/0.64 (define @t340 () (and @t160 @t182)) % 0.44/0.64 (define @t341 () (and @t143 @t160)) % 0.44/0.64 (define @t342 () (not @t170)) % 0.44/0.64 (define @t343 () (not @t161)) % 0.44/0.64 (define @t344 () (not @t157)) % 0.44/0.64 (define @t345 () (and @t182 @t319)) % 0.44/0.64 (define @t346 () (= tptp.e0 @t31)) % 0.44/0.64 (define @t347 () (not @t346)) % 0.44/0.64 (define @t348 () (not @t344)) % 0.44/0.64 (define @t349 () (and @t160 @t344)) % 0.44/0.64 (define @t350 () (= tptp.e3 @t41)) % 0.44/0.64 (define @t351 () (= tptp.e0 @t71)) % 0.44/0.64 (define @t352 () (= tptp.e0 @t36)) % 0.44/0.64 (define @t353 () (= tptp.e3 @t61)) % 0.44/0.64 (define @t354 () (not @t353)) % 0.44/0.64 (define @t355 () (not @t350)) % 0.44/0.64 (define @t356 () (= @t41 @t61)) % 0.44/0.64 (define @t357 () (not @t356)) % 0.44/0.64 (define @t358 () (and @t357 @t350)) % 0.44/0.64 (define @t359 () (= tptp.e3 @t71)) % 0.44/0.64 (define @t360 () (not @t359)) % 0.44/0.64 (define @t361 () (not @t352)) % 0.44/0.64 (define @t362 () (not @t351)) % 0.44/0.64 (define @t363 () (and @t143 @t173 @t308 @t351 @t352)) % 0.44/0.64 (define @t364 () (@list true)) % 0.44/0.64 (define @t365 () (and @t183 @t160 @t104)) % 0.44/0.64 (define @t366 () (= @t1 @t16)) % 0.44/0.64 (define @t367 () (not @t366)) % 0.44/0.64 (define @t368 () (not @t367)) % 0.44/0.64 (define @t369 () (and @t158 @t367)) % 0.44/0.64 (define @t370 () (= tptp.e1 @t21)) % 0.44/0.64 (define @t371 () (not @t370)) % 0.44/0.64 (define @t372 () (and @t158 @t198)) % 0.44/0.64 (define @t373 () (and @t158 @t148 @t100)) % 0.44/0.64 (define @t374 () (and @t96 @t168)) % 0.44/0.64 (define @t375 () (and @t174 @t183)) % 0.44/0.64 (define @t376 () (and @t143 @t174)) % 0.44/0.64 (define @t377 () (not @t184)) % 0.44/0.64 (define @t378 () (not @t155)) % 0.44/0.64 (define @t379 () (not @t175)) % 0.44/0.64 (define @t380 () (not @t172)) % 0.44/0.64 (define @t381 () (and @t183 @t377)) % 0.44/0.64 (define @t382 () (not @t380)) % 0.44/0.64 (define @t383 () (and @t174 @t380)) % 0.44/0.64 (define @t384 () (= tptp.e1 @t31)) % 0.44/0.64 (define @t385 () (not @t384)) % 0.44/0.64 (define @t386 () (= @t26 @t31)) % 0.44/0.64 (define @t387 () (not @t386)) % 0.44/0.64 (define @t388 () (not @t387)) % 0.44/0.64 (define @t389 () (and @t143 @t158 @t387 @t311 @t384)) % 0.44/0.64 (define @t390 () (and @t98 @t168)) % 0.44/0.64 (define @t391 () (and @t168 @t342)) % 0.44/0.64 (define @t392 () (= tptp.e2 @t11)) % 0.44/0.64 (define @t393 () (not @t392)) % 0.44/0.64 (define @t394 () (and @t148 @t204)) % 0.44/0.64 (define @t395 () (= tptp.e2 @t16)) % 0.44/0.64 (define @t396 () (not @t395)) % 0.44/0.64 (define @t397 () (and @t148 @t367)) % 0.44/0.64 (define @t398 () (and @t168 @t380)) % 0.44/0.64 (define @t399 () (= tptp.e2 @t31)) % 0.44/0.64 (define @t400 () (= tptp.e2 @t71)) % 0.44/0.64 (define @t401 () (= tptp.e2 @t36)) % 0.44/0.64 (define @t402 () (not @t401)) % 0.44/0.64 (define @t403 () (not @t399)) % 0.44/0.64 (define @t404 () (= @t31 @t36)) % 0.44/0.64 (define @t405 () (not @t404)) % 0.44/0.64 (define @t406 () (and @t405 @t399)) % 0.44/0.64 (define @t407 () (= tptp.e2 @t56)) % 0.44/0.64 (define @t408 () (not @t407)) % 0.44/0.64 (define @t409 () (and @t407 @t100 @t311)) % 0.44/0.64 (define @t410 () (not @t400)) % 0.44/0.64 (define @t411 () (not @t178)) % 0.44/0.64 (define @t412 () (and @t183 @t411)) % 0.44/0.64 (define @t413 () (and @t168 @t183)) % 0.44/0.64 (define @t414 () (@list true true true)) % 0.44/0.64 (define @t415 () (@list @t238)) % 0.44/0.64 (define @t416 () (@list true false)) % 0.44/0.64 (define @t417 () (and @t168 @t320)) % 0.44/0.64 (define @t418 () (not @t181)) % 0.44/0.64 (define @t419 () (= tptp.e1 @t61)) % 0.44/0.64 (define @t420 () (not @t419)) % 0.44/0.64 (define @t421 () (= @t1 @t61)) % 0.44/0.64 (define @t422 () (not @t421)) % 0.44/0.64 (define @t423 () (and @t158 @t422)) % 0.44/0.64 (define @t424 () (and @t160 @t250)) % 0.44/0.64 (define @t425 () (and @t168 @t176)) % 0.44/0.64 (define @t426 () (not @t418)) % 0.44/0.64 (define @t427 () (and @t168 @t418)) % 0.44/0.64 (define @t428 () (not @t165)) % 0.44/0.64 (define @t429 () (and @t100 @t401)) % 0.44/0.64 (define @t430 () (= tptp.e1 @t66)) % 0.44/0.64 (define @t431 () (not @t430)) % 0.44/0.64 (define @t432 () (and @t176 @t428)) % 0.44/0.64 (define @t433 () (= tptp.e1 @t71)) % 0.44/0.64 (define @t434 () (not @t433)) % 0.44/0.64 (define @t435 () (= @t31 @t71)) % 0.44/0.64 (define @t436 () (not @t435)) % 0.44/0.64 (define @t437 () (and @t436 @t384)) % 0.44/0.64 (define @t438 () (and @t148 @t153)) % 0.44/0.64 (define @t439 () (@list false false)) % 0.44/0.64 (define @t440 () (and @t153 @t344)) % 0.44/0.64 (define @t441 () (and @t176 @t387)) % 0.44/0.64 (define @t442 () (and @t153 @t182)) % 0.44/0.64 (define @t443 () (and @t182 @t418)) % 0.44/0.64 (define @t444 () (not @t177)) % 0.44/0.64 (define @t445 () (and @t148 @t400 @t351 @t155 @t444)) % 0.44/0.64 (assume @p1 (and @t81 (or @t75 @t74 @t73 @t72) (or @t70 @t69 @t68 @t67) (or @t65 @t64 @t63 @t62) (or @t60 @t59 @t58 @t57) (or @t55 @t54 @t53 @t52) (or @t50 @t49 @t48 @t47) (or @t45 @t44 @t43 @t42) (or @t40 @t39 @t38 @t37) (or @t35 @t34 @t33 @t32) (or @t30 @t29 @t28 @t27) (or @t25 @t24 @t23 @t22) (or @t20 @t19 @t18 @t17) (or @t15 @t14 @t13 @t12) (or @t10 @t9 @t8 @t7) (or @t5 @t4 @t3 @t2))) % 0.44/0.64 (assume @p2 (and (or @t80 @t75 @t70 @t65) (or @t80 @t60 @t40 @t20) @t94 @t93 (or @t78 @t73 @t68 @t63) @t92 @t91 @t90 @t89 @t88 (or @t59 @t54 @t49 @t44) (or @t74 @t54 @t34 @t14) (or @t58 @t53 @t48 @t43) @t87 @t86 (or @t72 @t52 @t32 @t12) @t85 @t84 @t83 (or @t69 @t49 @t29 @t9) (or @t38 @t33 @t28 @t23) (or @t68 @t48 @t28 @t8) (or @t37 @t32 @t27 @t22) (or @t67 @t47 @t27 @t7) @t82 (or @t65 @t45 @t25 @t5) (or @t19 @t14 @t9 @t4) (or @t64 @t44 @t24 @t4) (or @t18 @t13 @t8 @t3) (or @t63 @t43 @t23 @t3) (or @t17 @t12 @t7 @t2) (or @t62 @t42 @t22 @t2))) % 0.44/0.64 (assume @p3 (and (not (= @t76 @t56)) (not (= @t76 @t36)) (not (= @t76 @t16)) (not (= @t56 @t36)) (not (= @t56 @t16)) (not (= @t36 @t16)) (not (= @t71 @t51)) (not (= @t71 @t31)) (not (= @t71 @t11)) (not (= @t51 @t31)) (not (= @t51 @t11)) (not (= @t31 @t11)) (not (= @t66 @t46)) (not (= @t66 @t26)) (not (= @t66 @t6)) (not (= @t46 @t26)) (not (= @t46 @t6)) (not (= @t26 @t6)) (not (= @t61 @t41)) (not (= @t61 @t21)) (not (= @t61 @t1)) (not (= @t41 @t21)) (not (= @t41 @t1)) (not (= @t21 @t1)) (not (= @t76 @t71)) (not (= @t76 @t66)) (not (= @t76 @t61)) (not (= @t71 @t66)) (not (= @t71 @t61)) (not (= @t66 @t61)) (not (= @t56 @t51)) (not (= @t56 @t46)) (not (= @t56 @t41)) (not (= @t51 @t46)) (not (= @t51 @t41)) (not (= @t46 @t41)) (not (= @t36 @t31)) (not (= @t36 @t26)) (not (= @t36 @t21)) (not (= @t31 @t26)) (not (= @t31 @t21)) (not (= @t26 @t21)) (not (= @t16 @t11)) (not (= @t16 @t6)) (not (= @t16 @t1)) (not (= @t11 @t6)) (not (= @t11 @t1)) (not (= @t6 @t1)))) % 0.44/0.64 (assume @p4 (and @t106 @t104 @t102 @t100 @t98 @t96)) % 0.44/0.64 (assume @p5 (and @t142 @t133 @t124 @t115)) % 0.44/0.64 (assume @p6 (not (and @t147 @t145 @t143))) % 0.44/0.64 (assume @p7 (not (and @t152 @t150 @t148))) % 0.44/0.64 (assume @p8 (not (and @t157 @t155 @t153))) % 0.44/0.64 (assume @p9 (not (and @t152 @t159 @t158))) % 0.44/0.64 (assume @p10 (not (and @t157 @t161 @t160))) % 0.44/0.64 (assume @p11 (not (and @t147 @t163 @t162))) % 0.44/0.64 (assume @p12 (not (and @t165 @t164 @t143))) % 0.44/0.64 (assume @p13 (not (and @t167 @t166 @t148))) % 0.44/0.64 (assume @p14 (not (and @t172 @t170 @t168))) % 0.44/0.64 (assume @p15 (not (and @t167 @t159 @t173))) % 0.44/0.64 (assume @p16 (not (and @t172 @t175 @t174))) % 0.44/0.64 (assume @p17 (not (and @t165 @t163 @t176))) % 0.44/0.64 (assume @p18 (not (and @t178 @t177 @t153))) % 0.44/0.64 (assume @p19 (not (and @t179 @t166 @t158))) % 0.44/0.64 (assume @p20 (not (and @t181 @t180 @t168))) % 0.44/0.64 (assume @p21 (not (and @t179 @t150 @t173))) % 0.44/0.64 (assume @p22 (not (and @t181 @t175 @t182))) % 0.44/0.64 (assume @p23 (not (and @t178 @t161 @t183))) % 0.44/0.64 (assume @p24 (not (and @t184 @t177 @t160))) % 0.44/0.64 (assume @p25 (not (and @t185 @t164 @t162))) % 0.44/0.64 (assume @p26 (not (and @t186 @t180 @t174))) % 0.44/0.64 (assume @p27 (not (and @t185 @t145 @t176))) % 0.44/0.64 (assume @p28 (not (and @t186 @t170 @t182))) % 0.44/0.64 (assume @p29 (not (and @t184 @t155 @t183))) % 0.44/0.64 (step @p30 :rule cnf_and_pos :args (@t188 1)) % 0.44/0.64 (step @p31 :rule reordering :premises (@p30) :args ((or @t187 @t189))) % 0.44/0.64 (step @p32 :rule and_elim :premises (@p4) :args (0)) % 0.44/0.64 (assume-push @p2088 @t158) % 0.44/0.64 (assume-push @p2089 @t173) % 0.44/0.64 (assume-push @p2090 @t158) % 0.44/0.64 (assume-push @p2091 @t173) % 0.44/0.64 (step @p37 :rule symm :premises (@p2088)) % 0.44/0.64 (step @p38 :rule trans :premises (@p2089 @p37)) % 0.44/0.64 (step-pop @p2092 :rule scope :premises (@p38)) % 0.44/0.64 (step-pop @p2093 :rule scope :premises (@p2092)) % 0.44/0.64 (step @p39 :rule process_scope :premises (@p2093) :args (@t105)) % 0.44/0.64 (step @p42 :rule and_intro :premises (@p2088 @p2089)) % 0.44/0.64 (step @p43 :rule modus_ponens :premises (@p42 @p39)) % 0.44/0.64 (step-pop @p2094 :rule scope :premises (@p43)) % 0.44/0.64 (step-pop @p2095 :rule scope :premises (@p2094)) % 0.44/0.64 (step @p44 :rule process_scope :premises (@p2095) :args (@t105)) % 0.44/0.64 (step @p47 :rule implies_elim :premises (@p44)) % 0.44/0.64 (step @p48 :rule cnf_and_neg :args (@t190)) % 0.44/0.64 (step @p49 :rule resolution :premises (@p48 @p47) :args (true @t190)) % 0.44/0.64 (step @p50 :rule reordering :premises (@p49) :args ((or @t105 @t187 @t191))) % 0.44/0.64 (step @p51 :rule cnf_and_pos :args (@t193 0)) % 0.44/0.64 (step @p52 :rule reordering :premises (@p51) :args ((or @t158 @t194))) % 0.44/0.64 (step @p53 :rule and_elim :premises (@p3) :args (23)) % 0.44/0.64 (step @p54 :rule symm :premises (@p53)) % 0.44/0.64 (step @p55 :rule refl :args (@t196)) % 0.44/0.64 (step @p56 :rule bool-double-not-elim :args (@t197)) % 0.44/0.64 (step @p57 :rule refl :args (@t187)) % 0.44/0.64 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55) :args ((or @t187 @t199 @t196))) % 0.44/0.64 (assume-push @p2096 @t173) % 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(@p2726)) % 0.44/0.64 (step @p2058 :rule symm :premises (@p2723)) % 0.44/0.64 (step @p2059 :rule cong :premises (@p2058 @p2058) :args (@t154)) % 0.44/0.64 (step @p363 :rule refl :args (tptp.e0)) % 0.44/0.64 (step @p2060 :rule cong :premises (@p363 @p2059) :args (@t177)) % 0.44/0.64 (step @p2061 :rule trans :premises (@p2060 @p2057)) % 0.44/0.64 (step @p2062 :rule false_elim :premises (@p2061)) % 0.44/0.65 (step-pop @p2729 :rule scope :premises (@p2062)) % 0.44/0.65 (step-pop @p2730 :rule scope :premises (@p2729)) % 0.44/0.65 (step @p2063 :rule process_scope :premises (@p2730) :args (@t444)) % 0.44/0.65 (step @p2066 :rule and_intro :premises (@p2726 @p2723)) % 0.44/0.65 (step @p2067 :rule modus_ponens :premises (@p2066 @p2063)) % 0.44/0.65 (assume-push @p2731 @t153) % 0.44/0.65 (assume-push @p2732 @t148) % 0.44/0.65 (step @p1908 :rule cong :premises (@p2723 @p2723) :args (@t1)) % 0.44/0.65 (step @p1909 :rule trans :premises (@p2722 @p1908)) % 0.44/0.65 (step-pop @p2733 :rule scope :premises (@p1909)) % 0.44/0.65 (step-pop @p2734 :rule scope :premises (@p2733)) % 0.44/0.65 (step @p2070 :rule process_scope :premises (@p2734) :args (@t155)) % 0.44/0.65 (step @p2073 :rule and_intro :premises (@p2723 @p2722)) % 0.44/0.65 (step @p2074 :rule modus_ponens :premises (@p2073 @p2070)) % 0.44/0.65 (step @p2075 :rule and_intro :premises (@p2722 @p2725 @p2724 @p2074 @p2067)) % 0.44/0.65 (step-pop @p2735 :rule scope :premises (@p2075)) % 0.44/0.65 (step-pop @p2736 :rule scope :premises (@p2735)) % 0.44/0.65 (step-pop @p2737 :rule scope :premises (@p2736)) % 0.44/0.65 (step-pop @p2738 :rule scope :premises (@p2737)) % 0.44/0.65 (step-pop @p2739 :rule scope :premises (@p2738)) % 0.44/0.65 (step @p2076 :rule process_scope :premises (@p2739) :args (@t445)) % 0.44/0.65 (step @p2082 :rule implies_elim :premises (@p2076)) % 0.44/0.65 (step @p2083 :rule resolution :premises (@p2082 @p2044) :args (true @t445)) % 0.44/0.65 (step @p2084 :rule not_and :premises (@p2083)) % 0.44/0.65 (step @p2085 :rule eq_resolve :premises (@p2084 @p2027)) % 0.44/0.65 (step @p2086 :rule reordering :premises (@p2085) :args ((or @t173 @t192 @t207 @t362 @t410))) % 0.44/0.65 (step @p2087 false :rule chain_m_resolution :premises (@p2086 @p2025 @p1973 @p1903 @p1899 @p1184) :args (false (@list false false false false true) (@list @t400 @t351 @t148 @t153 @t173))) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------