%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG068+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 : n020.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 08:05:09 AM UTC 2026 % Result : Theorem 0.37s 0.68s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG068+1 : TPTP v9.2.1. Released v2.7.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n020.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 01:39:11 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.68 % SZS status Theorem % 0.37/0.68 % SZS output start Proof % 0.37/0.68 ( % 0.37/0.68 (declare-sort $$unsorted 0) % 0.37/0.68 (declare-const tptp.unit $$unsorted) % 0.37/0.68 (declare-const tptp.e0 $$unsorted) % 0.37/0.68 (declare-const tptp.e1 $$unsorted) % 0.37/0.68 (declare-const tptp.e2 $$unsorted) % 0.37/0.68 (declare-const tptp.e3 $$unsorted) % 0.37/0.68 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.68 (declare-const tptp.e4 $$unsorted) % 0.37/0.68 (define @t1 () (tptp.op tptp.e4 tptp.e4)) % 0.37/0.68 (define @t2 () (= @t1 tptp.e4)) % 0.37/0.68 (define @t3 () (= @t1 tptp.e3)) % 0.37/0.68 (define @t4 () (= @t1 tptp.e2)) % 0.37/0.68 (define @t5 () (= @t1 tptp.e1)) % 0.37/0.68 (define @t6 () (= @t1 tptp.e0)) % 0.37/0.68 (define @t7 () (tptp.op tptp.e4 tptp.e3)) % 0.37/0.68 (define @t8 () (= @t7 tptp.e4)) % 0.37/0.68 (define @t9 () (= @t7 tptp.e3)) % 0.37/0.68 (define @t10 () (= @t7 tptp.e2)) % 0.37/0.68 (define @t11 () (= @t7 tptp.e1)) % 0.37/0.68 (define @t12 () (= @t7 tptp.e0)) % 0.37/0.68 (define @t13 () (tptp.op tptp.e4 tptp.e2)) % 0.37/0.68 (define @t14 () (= @t13 tptp.e4)) % 0.37/0.68 (define @t15 () (= @t13 tptp.e3)) % 0.37/0.68 (define @t16 () (= @t13 tptp.e2)) % 0.37/0.68 (define @t17 () (= @t13 tptp.e1)) % 0.37/0.68 (define @t18 () (= @t13 tptp.e0)) % 0.37/0.68 (define @t19 () (tptp.op tptp.e4 tptp.e1)) % 0.37/0.68 (define @t20 () (= @t19 tptp.e4)) % 0.37/0.68 (define @t21 () (= @t19 tptp.e3)) % 0.37/0.68 (define @t22 () (= @t19 tptp.e2)) % 0.37/0.68 (define @t23 () (= @t19 tptp.e1)) % 0.37/0.68 (define @t24 () (= @t19 tptp.e0)) % 0.37/0.68 (define @t25 () (tptp.op tptp.e4 tptp.e0)) % 0.37/0.68 (define @t26 () (= @t25 tptp.e4)) % 0.37/0.68 (define @t27 () (= @t25 tptp.e3)) % 0.37/0.68 (define @t28 () (= @t25 tptp.e2)) % 0.37/0.68 (define @t29 () (= @t25 tptp.e1)) % 0.37/0.68 (define @t30 () (= @t25 tptp.e0)) % 0.37/0.68 (define @t31 () (tptp.op tptp.e3 tptp.e4)) % 0.37/0.68 (define @t32 () (= @t31 tptp.e4)) % 0.37/0.68 (define @t33 () (= @t31 tptp.e3)) % 0.37/0.68 (define @t34 () (= @t31 tptp.e2)) % 0.37/0.68 (define @t35 () (= @t31 tptp.e1)) % 0.37/0.68 (define @t36 () (= @t31 tptp.e0)) % 0.37/0.68 (define @t37 () (tptp.op tptp.e3 tptp.e3)) % 0.37/0.68 (define @t38 () (= @t37 tptp.e4)) % 0.37/0.68 (define @t39 () (= @t37 tptp.e3)) % 0.37/0.68 (define @t40 () (= @t37 tptp.e2)) % 0.37/0.68 (define @t41 () (= @t37 tptp.e1)) % 0.37/0.68 (define @t42 () (= @t37 tptp.e0)) % 0.37/0.68 (define @t43 () (tptp.op tptp.e3 tptp.e2)) % 0.37/0.68 (define @t44 () (= @t43 tptp.e4)) % 0.37/0.68 (define @t45 () (= @t43 tptp.e3)) % 0.37/0.68 (define @t46 () (= @t43 tptp.e2)) % 0.37/0.68 (define @t47 () (= @t43 tptp.e1)) % 0.37/0.68 (define @t48 () (= @t43 tptp.e0)) % 0.37/0.68 (define @t49 () (tptp.op tptp.e3 tptp.e1)) % 0.37/0.68 (define @t50 () (= @t49 tptp.e4)) % 0.37/0.68 (define @t51 () (= @t49 tptp.e3)) % 0.37/0.68 (define @t52 () (= @t49 tptp.e2)) % 0.37/0.68 (define @t53 () (= @t49 tptp.e1)) % 0.37/0.68 (define @t54 () (= @t49 tptp.e0)) % 0.37/0.68 (define @t55 () (tptp.op tptp.e3 tptp.e0)) % 0.37/0.68 (define @t56 () (= @t55 tptp.e4)) % 0.37/0.68 (define @t57 () (= @t55 tptp.e3)) % 0.37/0.68 (define @t58 () (= @t55 tptp.e2)) % 0.37/0.68 (define @t59 () (= @t55 tptp.e1)) % 0.37/0.68 (define @t60 () (= @t55 tptp.e0)) % 0.37/0.68 (define @t61 () (tptp.op tptp.e2 tptp.e4)) % 0.37/0.68 (define @t62 () (= @t61 tptp.e4)) % 0.37/0.68 (define @t63 () (= @t61 tptp.e3)) % 0.37/0.68 (define @t64 () (= @t61 tptp.e2)) % 0.37/0.68 (define @t65 () (= @t61 tptp.e1)) % 0.37/0.68 (define @t66 () (= @t61 tptp.e0)) % 0.37/0.68 (define @t67 () (tptp.op tptp.e2 tptp.e3)) % 0.37/0.68 (define @t68 () (= @t67 tptp.e4)) % 0.37/0.68 (define @t69 () (= @t67 tptp.e3)) % 0.37/0.68 (define @t70 () (= @t67 tptp.e2)) % 0.37/0.68 (define @t71 () (= @t67 tptp.e1)) % 0.37/0.68 (define @t72 () (= @t67 tptp.e0)) % 0.37/0.68 (define @t73 () (tptp.op tptp.e2 tptp.e2)) % 0.37/0.68 (define @t74 () (= @t73 tptp.e4)) % 0.37/0.68 (define @t75 () (= @t73 tptp.e3)) % 0.37/0.68 (define @t76 () (= @t73 tptp.e2)) % 0.37/0.68 (define @t77 () (= @t73 tptp.e1)) % 0.37/0.68 (define @t78 () (= @t73 tptp.e0)) % 0.37/0.68 (define @t79 () (tptp.op tptp.e2 tptp.e1)) % 0.37/0.68 (define @t80 () (= @t79 tptp.e4)) % 0.37/0.68 (define @t81 () (= @t79 tptp.e3)) % 0.37/0.68 (define @t82 () (= @t79 tptp.e2)) % 0.37/0.68 (define @t83 () (= @t79 tptp.e1)) % 0.37/0.68 (define @t84 () (= @t79 tptp.e0)) % 0.37/0.68 (define @t85 () (tptp.op tptp.e2 tptp.e0)) % 0.37/0.68 (define @t86 () (= @t85 tptp.e4)) % 0.37/0.68 (define @t87 () (= @t85 tptp.e3)) % 0.37/0.68 (define @t88 () (= @t85 tptp.e2)) % 0.37/0.68 (define @t89 () (= @t85 tptp.e1)) % 0.37/0.68 (define @t90 () (= @t85 tptp.e0)) % 0.37/0.68 (define @t91 () (tptp.op tptp.e1 tptp.e4)) % 0.37/0.68 (define @t92 () (= @t91 tptp.e4)) % 0.37/0.68 (define @t93 () (= @t91 tptp.e3)) % 0.37/0.68 (define @t94 () (= @t91 tptp.e2)) % 0.37/0.68 (define @t95 () (= @t91 tptp.e1)) % 0.37/0.68 (define @t96 () (= @t91 tptp.e0)) % 0.37/0.68 (define @t97 () (tptp.op tptp.e1 tptp.e3)) % 0.37/0.68 (define @t98 () (= @t97 tptp.e4)) % 0.37/0.68 (define @t99 () (= @t97 tptp.e3)) % 0.37/0.68 (define @t100 () (= @t97 tptp.e2)) % 0.37/0.68 (define @t101 () (= @t97 tptp.e1)) % 0.37/0.68 (define @t102 () (= @t97 tptp.e0)) % 0.37/0.68 (define @t103 () (tptp.op tptp.e1 tptp.e2)) % 0.37/0.68 (define @t104 () (= @t103 tptp.e4)) % 0.37/0.68 (define @t105 () (= @t103 tptp.e3)) % 0.37/0.68 (define @t106 () (= @t103 tptp.e2)) % 0.37/0.68 (define @t107 () (= @t103 tptp.e1)) % 0.37/0.68 (define @t108 () (= @t103 tptp.e0)) % 0.37/0.68 (define @t109 () (tptp.op tptp.e1 tptp.e1)) % 0.37/0.68 (define @t110 () (= @t109 tptp.e4)) % 0.37/0.68 (define @t111 () (= @t109 tptp.e3)) % 0.37/0.68 (define @t112 () (= @t109 tptp.e2)) % 0.37/0.68 (define @t113 () (= @t109 tptp.e1)) % 0.37/0.68 (define @t114 () (= @t109 tptp.e0)) % 0.37/0.68 (define @t115 () (tptp.op tptp.e1 tptp.e0)) % 0.37/0.68 (define @t116 () (= @t115 tptp.e4)) % 0.37/0.68 (define @t117 () (= @t115 tptp.e3)) % 0.37/0.68 (define @t118 () (= @t115 tptp.e2)) % 0.37/0.68 (define @t119 () (= @t115 tptp.e1)) % 0.37/0.68 (define @t120 () (= @t115 tptp.e0)) % 0.37/0.68 (define @t121 () (tptp.op tptp.e0 tptp.e4)) % 0.37/0.68 (define @t122 () (= @t121 tptp.e4)) % 0.37/0.68 (define @t123 () (= @t121 tptp.e3)) % 0.37/0.68 (define @t124 () (= @t121 tptp.e2)) % 0.37/0.68 (define @t125 () (= @t121 tptp.e1)) % 0.37/0.68 (define @t126 () (= @t121 tptp.e0)) % 0.37/0.68 (define @t127 () (tptp.op tptp.e0 tptp.e3)) % 0.37/0.68 (define @t128 () (= @t127 tptp.e4)) % 0.37/0.68 (define @t129 () (= @t127 tptp.e3)) % 0.37/0.68 (define @t130 () (= @t127 tptp.e2)) % 0.37/0.68 (define @t131 () (= @t127 tptp.e1)) % 0.37/0.68 (define @t132 () (= @t127 tptp.e0)) % 0.37/0.68 (define @t133 () (tptp.op tptp.e0 tptp.e2)) % 0.37/0.68 (define @t134 () (= @t133 tptp.e4)) % 0.37/0.68 (define @t135 () (= @t133 tptp.e3)) % 0.37/0.68 (define @t136 () (= @t133 tptp.e2)) % 0.37/0.68 (define @t137 () (= @t133 tptp.e1)) % 0.37/0.68 (define @t138 () (= @t133 tptp.e0)) % 0.37/0.68 (define @t139 () (tptp.op tptp.e0 tptp.e1)) % 0.37/0.68 (define @t140 () (= @t139 tptp.e4)) % 0.37/0.68 (define @t141 () (= @t139 tptp.e3)) % 0.37/0.68 (define @t142 () (= @t139 tptp.e2)) % 0.37/0.68 (define @t143 () (= @t139 tptp.e1)) % 0.37/0.68 (define @t144 () (= @t139 tptp.e0)) % 0.37/0.68 (define @t145 () (tptp.op tptp.e0 tptp.e0)) % 0.37/0.68 (define @t146 () (= @t145 tptp.e4)) % 0.37/0.68 (define @t147 () (= @t145 tptp.e3)) % 0.37/0.68 (define @t148 () (= @t145 tptp.e2)) % 0.37/0.68 (define @t149 () (= @t145 tptp.e1)) % 0.37/0.68 (define @t150 () (= @t145 tptp.e0)) % 0.37/0.68 (define @t151 () (or (= tptp.unit tptp.e0) (= tptp.unit tptp.e1) (= tptp.unit tptp.e2) (= tptp.unit tptp.e3) (= tptp.unit tptp.e4))) % 0.37/0.68 (define @t152 () (tptp.op tptp.e4 tptp.unit)) % 0.37/0.68 (define @t153 () (tptp.op tptp.unit tptp.e4)) % 0.37/0.68 (define @t154 () (tptp.op tptp.e3 tptp.unit)) % 0.37/0.68 (define @t155 () (tptp.op tptp.unit tptp.e3)) % 0.37/0.68 (define @t156 () (tptp.op tptp.e2 tptp.unit)) % 0.37/0.68 (define @t157 () (tptp.op tptp.unit tptp.e2)) % 0.37/0.68 (define @t158 () (tptp.op tptp.e1 tptp.unit)) % 0.37/0.68 (define @t159 () (tptp.op tptp.unit tptp.e1)) % 0.37/0.68 (define @t160 () (or @t28 @t22 @t16 @t10 @t4)) % 0.37/0.68 (define @t161 () (or @t125 @t95 @t65 @t35 @t5)) % 0.37/0.68 (define @t162 () (or @t58 @t52 @t46 @t40 @t34)) % 0.37/0.68 (define @t163 () (or @t134 @t104 @t74 @t44 @t14)) % 0.37/0.68 (define @t164 () (or @t135 @t105 @t75 @t45 @t15)) % 0.37/0.68 (define @t165 () (or @t89 @t83 @t77 @t71 @t65)) % 0.37/0.68 (define @t166 () (or @t140 @t110 @t80 @t50 @t20)) % 0.37/0.68 (define @t167 () (or @t116 @t110 @t104 @t98 @t92)) % 0.37/0.68 (define @t168 () (or @t141 @t111 @t81 @t51 @t21)) % 0.37/0.68 (define @t169 () (or @t118 @t112 @t106 @t100 @t94)) % 0.37/0.68 (define @t170 () (= tptp.e3 tptp.e4)) % 0.37/0.68 (define @t171 () (not @t170)) % 0.37/0.68 (define @t172 () (= tptp.e2 tptp.e4)) % 0.37/0.68 (define @t173 () (not @t172)) % 0.37/0.68 (define @t174 () (= tptp.e2 tptp.e3)) % 0.37/0.68 (define @t175 () (not @t174)) % 0.37/0.68 (define @t176 () (= tptp.e1 tptp.e4)) % 0.37/0.68 (define @t177 () (not @t176)) % 0.37/0.68 (define @t178 () (= tptp.e1 tptp.e3)) % 0.37/0.68 (define @t179 () (not @t178)) % 0.37/0.68 (define @t180 () (= tptp.e1 tptp.e2)) % 0.37/0.68 (define @t181 () (not @t180)) % 0.37/0.68 (define @t182 () (= tptp.e0 tptp.e1)) % 0.37/0.68 (define @t183 () (= tptp.e3 @t61)) % 0.37/0.68 (define @t184 () (= tptp.e1 @t13)) % 0.37/0.68 (define @t185 () (tptp.op @t13 @t13)) % 0.37/0.68 (define @t186 () (= tptp.e0 @t185)) % 0.37/0.68 (define @t187 () (tptp.op @t1 tptp.e4)) % 0.37/0.68 (define @t188 () (= @t187 tptp.e4)) % 0.37/0.68 (define @t189 () (not @t188)) % 0.37/0.68 (define @t190 () (not (= @t1 @t1))) % 0.37/0.68 (define @t191 () (and @t190 @t188 @t189)) % 0.37/0.68 (define @t192 () (tptp.op @t7 tptp.e4)) % 0.37/0.68 (define @t193 () (not (= @t192 tptp.e3))) % 0.37/0.68 (define @t194 () (tptp.op @t7 tptp.e3)) % 0.37/0.68 (define @t195 () (not (= @t31 @t7))) % 0.37/0.68 (define @t196 () (and @t195 (= @t194 tptp.e4) @t193)) % 0.37/0.68 (define @t197 () (tptp.op @t13 tptp.e4)) % 0.37/0.68 (define @t198 () (not (= @t197 tptp.e2))) % 0.37/0.68 (define @t199 () (tptp.op @t13 tptp.e2)) % 0.37/0.68 (define @t200 () (not (= @t61 @t13))) % 0.37/0.68 (define @t201 () (and @t200 (= @t199 tptp.e4) @t198)) % 0.37/0.68 (define @t202 () (tptp.op @t19 tptp.e4)) % 0.37/0.68 (define @t203 () (not (= @t202 tptp.e1))) % 0.37/0.68 (define @t204 () (tptp.op @t19 tptp.e1)) % 0.37/0.68 (define @t205 () (not (= @t91 @t19))) % 0.37/0.68 (define @t206 () (and @t205 (= @t204 tptp.e4) @t203)) % 0.37/0.68 (define @t207 () (tptp.op @t25 tptp.e4)) % 0.37/0.68 (define @t208 () (not (= @t207 tptp.e0))) % 0.37/0.68 (define @t209 () (tptp.op @t25 tptp.e0)) % 0.37/0.68 (define @t210 () (not (= @t121 @t25))) % 0.37/0.68 (define @t211 () (and @t210 (= @t209 tptp.e4) @t208)) % 0.37/0.68 (define @t212 () (tptp.op @t31 tptp.e3)) % 0.37/0.68 (define @t213 () (not (= @t212 tptp.e4))) % 0.37/0.68 (define @t214 () (tptp.op @t31 tptp.e4)) % 0.37/0.68 (define @t215 () (not (= @t7 @t31))) % 0.37/0.68 (define @t216 () (and @t215 (= @t214 tptp.e3) @t213)) % 0.37/0.68 (define @t217 () (tptp.op @t37 tptp.e3)) % 0.37/0.68 (define @t218 () (= @t217 tptp.e3)) % 0.37/0.68 (define @t219 () (not @t218)) % 0.37/0.68 (define @t220 () (not (= @t37 @t37))) % 0.37/0.68 (define @t221 () (and @t220 @t218 @t219)) % 0.37/0.68 (define @t222 () (tptp.op @t43 tptp.e3)) % 0.37/0.68 (define @t223 () (not (= @t222 tptp.e2))) % 0.37/0.68 (define @t224 () (tptp.op @t43 tptp.e2)) % 0.37/0.68 (define @t225 () (not (= @t67 @t43))) % 0.37/0.68 (define @t226 () (and @t225 (= @t224 tptp.e3) @t223)) % 0.37/0.68 (define @t227 () (tptp.op @t49 tptp.e3)) % 0.37/0.68 (define @t228 () (not (= @t227 tptp.e1))) % 0.37/0.68 (define @t229 () (tptp.op @t49 tptp.e1)) % 0.37/0.68 (define @t230 () (not (= @t97 @t49))) % 0.37/0.68 (define @t231 () (and @t230 (= @t229 tptp.e3) @t228)) % 0.37/0.68 (define @t232 () (tptp.op @t55 tptp.e3)) % 0.37/0.68 (define @t233 () (not (= @t232 tptp.e0))) % 0.37/0.68 (define @t234 () (tptp.op @t55 tptp.e0)) % 0.37/0.68 (define @t235 () (not (= @t127 @t55))) % 0.37/0.68 (define @t236 () (and @t235 (= @t234 tptp.e3) @t233)) % 0.37/0.68 (define @t237 () (tptp.op @t61 tptp.e2)) % 0.37/0.68 (define @t238 () (not (= @t237 tptp.e4))) % 0.37/0.68 (define @t239 () (tptp.op @t61 tptp.e4)) % 0.37/0.68 (define @t240 () (not (= @t13 @t61))) % 0.37/0.68 (define @t241 () (and @t240 (= @t239 tptp.e2) @t238)) % 0.37/0.68 (define @t242 () (tptp.op @t67 tptp.e2)) % 0.37/0.68 (define @t243 () (not (= @t242 tptp.e3))) % 0.37/0.68 (define @t244 () (tptp.op @t67 tptp.e3)) % 0.37/0.68 (define @t245 () (not (= @t43 @t67))) % 0.37/0.68 (define @t246 () (and @t245 (= @t244 tptp.e2) @t243)) % 0.37/0.68 (define @t247 () (tptp.op @t73 tptp.e2)) % 0.37/0.68 (define @t248 () (= @t247 tptp.e2)) % 0.37/0.68 (define @t249 () (not @t248)) % 0.37/0.68 (define @t250 () (not (= @t73 @t73))) % 0.37/0.68 (define @t251 () (and @t250 @t248 @t249)) % 0.37/0.68 (define @t252 () (tptp.op @t79 tptp.e2)) % 0.37/0.68 (define @t253 () (not (= @t252 tptp.e1))) % 0.37/0.68 (define @t254 () (tptp.op @t79 tptp.e1)) % 0.37/0.68 (define @t255 () (not (= @t103 @t79))) % 0.37/0.68 (define @t256 () (and @t255 (= @t254 tptp.e2) @t253)) % 0.37/0.68 (define @t257 () (tptp.op @t85 tptp.e2)) % 0.37/0.68 (define @t258 () (not (= @t257 tptp.e0))) % 0.37/0.68 (define @t259 () (tptp.op @t85 tptp.e0)) % 0.37/0.68 (define @t260 () (not (= @t133 @t85))) % 0.37/0.68 (define @t261 () (and @t260 (= @t259 tptp.e2) @t258)) % 0.37/0.68 (define @t262 () (tptp.op @t91 tptp.e1)) % 0.37/0.68 (define @t263 () (not (= @t262 tptp.e4))) % 0.37/0.68 (define @t264 () (tptp.op @t91 tptp.e4)) % 0.37/0.68 (define @t265 () (not (= @t19 @t91))) % 0.37/0.68 (define @t266 () (and @t265 (= @t264 tptp.e1) @t263)) % 0.37/0.68 (define @t267 () (tptp.op @t97 tptp.e1)) % 0.37/0.68 (define @t268 () (not (= @t267 tptp.e3))) % 0.37/0.68 (define @t269 () (tptp.op @t97 tptp.e3)) % 0.37/0.68 (define @t270 () (not (= @t49 @t97))) % 0.37/0.68 (define @t271 () (and @t270 (= @t269 tptp.e1) @t268)) % 0.37/0.68 (define @t272 () (tptp.op @t103 tptp.e1)) % 0.37/0.68 (define @t273 () (not (= @t272 tptp.e2))) % 0.37/0.68 (define @t274 () (tptp.op @t103 tptp.e2)) % 0.37/0.68 (define @t275 () (not (= @t79 @t103))) % 0.37/0.68 (define @t276 () (and @t275 (= @t274 tptp.e1) @t273)) % 0.37/0.68 (define @t277 () (tptp.op @t109 tptp.e1)) % 0.37/0.68 (define @t278 () (= @t277 tptp.e1)) % 0.37/0.68 (define @t279 () (not @t278)) % 0.37/0.68 (define @t280 () (not (= @t109 @t109))) % 0.37/0.68 (define @t281 () (and @t280 @t278 @t279)) % 0.37/0.68 (define @t282 () (tptp.op @t115 tptp.e1)) % 0.37/0.68 (define @t283 () (not (= @t282 tptp.e0))) % 0.37/0.68 (define @t284 () (tptp.op @t115 tptp.e0)) % 0.37/0.68 (define @t285 () (not (= @t139 @t115))) % 0.37/0.68 (define @t286 () (and @t285 (= @t284 tptp.e1) @t283)) % 0.37/0.68 (define @t287 () (tptp.op @t121 tptp.e0)) % 0.37/0.68 (define @t288 () (not (= @t287 tptp.e4))) % 0.37/0.68 (define @t289 () (tptp.op @t121 tptp.e4)) % 0.37/0.68 (define @t290 () (= @t25 @t121)) % 0.37/0.68 (define @t291 () (not @t290)) % 0.37/0.68 (define @t292 () (and @t291 (= @t289 tptp.e0) @t288)) % 0.37/0.68 (define @t293 () (tptp.op @t127 tptp.e0)) % 0.37/0.68 (define @t294 () (not (= @t293 tptp.e3))) % 0.37/0.68 (define @t295 () (tptp.op @t127 tptp.e3)) % 0.37/0.68 (define @t296 () (= @t55 @t127)) % 0.37/0.68 (define @t297 () (not @t296)) % 0.37/0.68 (define @t298 () (and @t297 (= @t295 tptp.e0) @t294)) % 0.37/0.68 (define @t299 () (tptp.op @t133 tptp.e0)) % 0.37/0.68 (define @t300 () (not (= @t299 tptp.e2))) % 0.37/0.68 (define @t301 () (tptp.op @t133 tptp.e2)) % 0.37/0.68 (define @t302 () (= @t85 @t133)) % 0.37/0.68 (define @t303 () (not @t302)) % 0.37/0.68 (define @t304 () (and @t303 (= @t301 tptp.e0) @t300)) % 0.37/0.68 (define @t305 () (tptp.op @t139 tptp.e0)) % 0.37/0.68 (define @t306 () (not (= @t305 tptp.e1))) % 0.37/0.68 (define @t307 () (tptp.op @t139 tptp.e1)) % 0.37/0.68 (define @t308 () (= @t115 @t139)) % 0.37/0.68 (define @t309 () (not @t308)) % 0.37/0.68 (define @t310 () (and @t309 (= @t307 tptp.e0) @t306)) % 0.37/0.68 (define @t311 () (tptp.op @t145 tptp.e0)) % 0.37/0.68 (define @t312 () (= @t311 tptp.e0)) % 0.37/0.68 (define @t313 () (not @t312)) % 0.37/0.68 (define @t314 () (not (= @t145 @t145))) % 0.37/0.68 (define @t315 () (and @t314 @t312 @t313)) % 0.37/0.68 (define @t316 () (or @t315 @t310 @t304 @t298 @t292 @t286 @t281 @t276 @t271 @t266 @t261 @t256 @t251 @t246 @t241 @t236 @t231 @t226 @t221 @t216 @t211 @t206 @t201 @t196 @t191)) % 0.37/0.68 (define @t317 () (not @t2)) % 0.37/0.68 (define @t318 () (or @t317 @t2)) % 0.37/0.68 (define @t319 () (not @t3)) % 0.37/0.68 (define @t320 () (or @t319 @t8)) % 0.37/0.68 (define @t321 () (not @t4)) % 0.37/0.68 (define @t322 () (or @t321 @t14)) % 0.37/0.68 (define @t323 () (not @t5)) % 0.37/0.68 (define @t324 () (or @t323 @t20)) % 0.37/0.68 (define @t325 () (not @t6)) % 0.37/0.68 (define @t326 () (or @t325 @t26)) % 0.37/0.68 (define @t327 () (not @t38)) % 0.37/0.68 (define @t328 () (or @t327 @t33)) % 0.37/0.68 (define @t329 () (not @t39)) % 0.37/0.68 (define @t330 () (or @t329 @t39)) % 0.37/0.68 (define @t331 () (not @t40)) % 0.37/0.68 (define @t332 () (or @t331 @t45)) % 0.37/0.68 (define @t333 () (not @t41)) % 0.37/0.68 (define @t334 () (or @t333 @t51)) % 0.37/0.68 (define @t335 () (not @t42)) % 0.37/0.68 (define @t336 () (or @t335 @t57)) % 0.37/0.68 (define @t337 () (not @t74)) % 0.37/0.68 (define @t338 () (or @t337 @t64)) % 0.37/0.68 (define @t339 () (not @t75)) % 0.37/0.68 (define @t340 () (or @t339 @t70)) % 0.37/0.68 (define @t341 () (not @t76)) % 0.37/0.68 (define @t342 () (or @t341 @t76)) % 0.37/0.68 (define @t343 () (not @t77)) % 0.37/0.68 (define @t344 () (or @t343 @t82)) % 0.37/0.68 (define @t345 () (not @t78)) % 0.37/0.68 (define @t346 () (or @t345 @t88)) % 0.37/0.68 (define @t347 () (not @t110)) % 0.37/0.68 (define @t348 () (or @t347 @t95)) % 0.37/0.68 (define @t349 () (not @t111)) % 0.37/0.68 (define @t350 () (or @t349 @t101)) % 0.37/0.68 (define @t351 () (not @t112)) % 0.37/0.68 (define @t352 () (or @t351 @t107)) % 0.37/0.68 (define @t353 () (not @t113)) % 0.37/0.68 (define @t354 () (or @t353 @t113)) % 0.37/0.68 (define @t355 () (not @t114)) % 0.37/0.68 (define @t356 () (or @t355 @t119)) % 0.37/0.68 (define @t357 () (not @t146)) % 0.37/0.68 (define @t358 () (or @t357 @t126)) % 0.37/0.68 (define @t359 () (not @t147)) % 0.37/0.68 (define @t360 () (or @t359 @t132)) % 0.37/0.68 (define @t361 () (not @t148)) % 0.37/0.68 (define @t362 () (or @t361 @t138)) % 0.37/0.68 (define @t363 () (not @t149)) % 0.37/0.68 (define @t364 () (or @t363 @t144)) % 0.37/0.68 (define @t365 () (not @t150)) % 0.37/0.68 (define @t366 () (or @t365 @t150)) % 0.37/0.68 (define @t367 () (and @t366 @t364 @t362 @t360 @t358 @t356 @t354 @t352 @t350 @t348 @t346 @t344 @t342 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316)) % 0.37/0.68 (define @t368 () (= tptp.e3 @t154)) % 0.37/0.68 (define @t369 () (= tptp.e4 tptp.unit)) % 0.37/0.68 (define @t370 () (= @t31 @t61)) % 0.37/0.68 (define @t371 () (and @t183 @t368 @t369)) % 0.37/0.68 (define @t372 () (not @t369)) % 0.37/0.68 (define @t373 () (not @t368)) % 0.37/0.68 (define @t374 () (not @t183)) % 0.37/0.68 (define @t375 () (@list true false false)) % 0.37/0.68 (define @t376 () (= tptp.e3 @t192)) % 0.37/0.68 (define @t377 () (not @t376)) % 0.37/0.68 (define @t378 () (and @t215 (= tptp.e4 @t194) @t377)) % 0.37/0.68 (define @t379 () (= tptp.e4 @t199)) % 0.37/0.68 (define @t380 () (and @t240 @t379 (not (= tptp.e2 @t197)))) % 0.37/0.68 (define @t381 () (= tptp.e1 @t202)) % 0.37/0.68 (define @t382 () (not @t381)) % 0.37/0.68 (define @t383 () (and @t265 (= tptp.e4 @t204) @t382)) % 0.37/0.68 (define @t384 () (and @t291 (= tptp.e4 @t209) (not (= tptp.e0 @t207)))) % 0.37/0.68 (define @t385 () (= tptp.e4 @t212)) % 0.37/0.68 (define @t386 () (not @t385)) % 0.37/0.68 (define @t387 () (and @t215 (= tptp.e3 @t214) @t386)) % 0.37/0.68 (define @t388 () (= tptp.e3 @t224)) % 0.37/0.68 (define @t389 () (and @t245 @t388 (not (= tptp.e2 @t222)))) % 0.37/0.68 (define @t390 () (= tptp.e3 @t229)) % 0.37/0.68 (define @t391 () (and @t270 @t390 (not (= tptp.e1 @t227)))) % 0.37/0.68 (define @t392 () (and @t297 (= tptp.e3 @t234) (not (= tptp.e0 @t232)))) % 0.37/0.68 (define @t393 () (= tptp.e4 @t237)) % 0.37/0.68 (define @t394 () (not @t393)) % 0.37/0.68 (define @t395 () (and @t240 (= tptp.e2 @t239) @t394)) % 0.37/0.68 (define @t396 () (= tptp.e3 @t242)) % 0.37/0.68 (define @t397 () (not @t396)) % 0.37/0.68 (define @t398 () (and @t245 (= tptp.e2 @t244) @t397)) % 0.37/0.68 (define @t399 () (= tptp.e1 @t252)) % 0.37/0.68 (define @t400 () (not @t399)) % 0.37/0.68 (define @t401 () (and @t275 (= tptp.e2 @t254) @t400)) % 0.37/0.68 (define @t402 () (and @t303 (= tptp.e2 @t259) (not (= tptp.e0 @t257)))) % 0.37/0.68 (define @t403 () (= tptp.e1 @t264)) % 0.37/0.68 (define @t404 () (and @t265 @t403 (not (= tptp.e4 @t262)))) % 0.37/0.68 (define @t405 () (= tptp.e3 @t267)) % 0.37/0.68 (define @t406 () (not @t405)) % 0.37/0.68 (define @t407 () (and @t270 (= tptp.e1 @t269) @t406)) % 0.37/0.68 (define @t408 () (= tptp.e1 @t274)) % 0.37/0.68 (define @t409 () (and @t275 @t408 (not (= tptp.e2 @t272)))) % 0.37/0.68 (define @t410 () (= tptp.e0 @t282)) % 0.37/0.68 (define @t411 () (not @t410)) % 0.37/0.68 (define @t412 () (and @t309 (= tptp.e1 @t284) @t411)) % 0.37/0.68 (define @t413 () (and @t291 (= tptp.e0 @t289) (not (= tptp.e4 @t287)))) % 0.37/0.68 (define @t414 () (and @t297 (= tptp.e0 @t295) (not (= tptp.e3 @t293)))) % 0.37/0.68 (define @t415 () (and @t303 (= tptp.e0 @t301) (not (= tptp.e2 @t299)))) % 0.37/0.68 (define @t416 () (and @t309 (= tptp.e0 @t307) (not (= tptp.e1 @t305)))) % 0.37/0.68 (define @t417 () (= tptp.e4 @t187)) % 0.37/0.68 (define @t418 () (= tptp.e3 @t217)) % 0.37/0.68 (define @t419 () (= tptp.e2 @t247)) % 0.37/0.68 (define @t420 () (= tptp.e1 @t277)) % 0.37/0.68 (define @t421 () (= tptp.e0 @t311)) % 0.37/0.68 (define @t422 () (= tptp.e0 @t109)) % 0.37/0.68 (define @t423 () (= tptp.e1 @t115)) % 0.37/0.68 (define @t424 () (@list false)) % 0.37/0.68 (define @t425 () (= tptp.e1 @t158)) % 0.37/0.68 (define @t426 () (= tptp.e3 tptp.unit)) % 0.37/0.68 (define @t427 () (= @t97 @t115)) % 0.37/0.68 (define @t428 () (and @t425 @t423 @t426)) % 0.37/0.68 (define @t429 () (not @t426)) % 0.37/0.68 (define @t430 () (not @t425)) % 0.37/0.68 (define @t431 () (not @t423)) % 0.37/0.68 (define @t432 () (= tptp.e4 @t152)) % 0.37/0.68 (define @t433 () (= tptp.e2 tptp.unit)) % 0.37/0.68 (define @t434 () (and @t184 @t432 @t433)) % 0.37/0.68 (define @t435 () (not @t433)) % 0.37/0.68 (define @t436 () (not @t432)) % 0.37/0.68 (define @t437 () (not @t184)) % 0.37/0.68 (define @t438 () (= tptp.e1 tptp.unit)) % 0.37/0.68 (define @t439 () (and @t186 @t184 @t425 @t438)) % 0.37/0.68 (define @t440 () (not @t186)) % 0.37/0.68 (define @t441 () (not @t438)) % 0.37/0.68 (define @t442 () (@list true false false false)) % 0.37/0.68 (define @t443 () (= tptp.e0 tptp.unit)) % 0.37/0.68 (define @t444 () (@list true true true true)) % 0.37/0.68 (define @t445 () (= tptp.e3 @t13)) % 0.37/0.68 (define @t446 () (not @t445)) % 0.37/0.68 (define @t447 () (not @t443)) % 0.37/0.68 (define @t448 () (= @t55 @t115)) % 0.37/0.68 (define @t449 () (not @t448)) % 0.37/0.68 (define @t450 () (not @t449)) % 0.37/0.68 (define @t451 () (= tptp.e3 @t55)) % 0.37/0.68 (define @t452 () (and @t184 @t368 @t449 @t423 @t443)) % 0.37/0.68 (define @t453 () (@list true false false false false)) % 0.37/0.68 (define @t454 () (= tptp.e3 @t73)) % 0.37/0.68 (define @t455 () (= tptp.e4 @t103)) % 0.37/0.68 (define @t456 () (not @t455)) % 0.37/0.68 (define @t457 () (not @t379)) % 0.37/0.68 (define @t458 () (and @t184 @t457)) % 0.37/0.68 (define @t459 () (= tptp.e4 @t133)) % 0.37/0.68 (define @t460 () (not @t459)) % 0.37/0.68 (define @t461 () (= @t121 @t133)) % 0.37/0.68 (define @t462 () (= tptp.e4 @t153)) % 0.37/0.68 (define @t463 () (not @t462)) % 0.37/0.68 (define @t464 () (not @t461)) % 0.37/0.68 (define @t465 () (= tptp.e4 @t25)) % 0.37/0.68 (define @t466 () (and @t432 @t462 @t464 @t443)) % 0.37/0.68 (define @t467 () (= tptp.e4 @t13)) % 0.37/0.68 (define @t468 () (not @t467)) % 0.37/0.68 (define @t469 () (= @t25 @t115)) % 0.37/0.68 (define @t470 () (not @t469)) % 0.37/0.68 (define @t471 () (not @t470)) % 0.37/0.68 (define @t472 () (and @t184 @t432 @t470 @t423 @t443)) % 0.37/0.68 (define @t473 () (= tptp.e2 @t61)) % 0.37/0.68 (define @t474 () (= tptp.e4 @t73)) % 0.37/0.68 (define @t475 () (not @t474)) % 0.37/0.68 (define @t476 () (@list true)) % 0.37/0.68 (define @t477 () (= tptp.e4 @t91)) % 0.37/0.68 (define @t478 () (not @t477)) % 0.37/0.68 (define @t479 () (= @t91 @t121)) % 0.37/0.68 (define @t480 () (not @t479)) % 0.37/0.68 (define @t481 () (= false true)) % 0.37/0.68 (define @t482 () (and @t462 @t477 @t465 @t290 @t480)) % 0.37/0.68 (define @t483 () (= tptp.e4 @t115)) % 0.37/0.68 (define @t484 () (not @t483)) % 0.37/0.68 (define @t485 () (and @t432 @t470 @t443)) % 0.37/0.68 (define @t486 () (= tptp.e4 @t109)) % 0.37/0.68 (define @t487 () (not @t486)) % 0.37/0.68 (define @t488 () (and @t186 @t184 @t443 @t372)) % 0.37/0.68 (define @t489 () (= tptp.e4 @t49)) % 0.37/0.68 (define @t490 () (not @t489)) % 0.37/0.68 (define @t491 () (= tptp.e4 @t43)) % 0.37/0.68 (define @t492 () (not @t491)) % 0.37/0.68 (define @t493 () (= @t43 @t49)) % 0.37/0.68 (define @t494 () (not @t493)) % 0.37/0.68 (define @t495 () (and @t494 @t491)) % 0.37/0.68 (define @t496 () (= tptp.e3 @t43)) % 0.37/0.68 (define @t497 () (not @t496)) % 0.37/0.68 (define @t498 () (not @t171)) % 0.37/0.68 (define @t499 () (and @t171 @t491)) % 0.37/0.68 (define @t500 () (= tptp.e2 @t43)) % 0.37/0.68 (define @t501 () (not @t500)) % 0.37/0.68 (define @t502 () (not @t173)) % 0.37/0.68 (define @t503 () (and @t173 @t491)) % 0.37/0.68 (define @t504 () (= tptp.e2 @t97)) % 0.37/0.68 (define @t505 () (not @t504)) % 0.37/0.68 (define @t506 () (= tptp.e4 @t97)) % 0.37/0.68 (define @t507 () (not @t506)) % 0.37/0.68 (define @t508 () (and @t173 @t506)) % 0.37/0.68 (define @t509 () (and @t183 @t491)) % 0.37/0.68 (define @t510 () (not @t388)) % 0.37/0.68 (define @t511 () (and @t184 @t368 @t449 @t423 @t491 @t443)) % 0.37/0.68 (define @t512 () (= tptp.e2 @t37)) % 0.37/0.68 (define @t513 () (= tptp.e3 @t133)) % 0.37/0.68 (define @t514 () (not @t513)) % 0.37/0.68 (define @t515 () (= @t127 @t133)) % 0.37/0.68 (define @t516 () (= tptp.e3 @t155)) % 0.37/0.68 (define @t517 () (not @t516)) % 0.37/0.68 (define @t518 () (not @t515)) % 0.37/0.68 (define @t519 () (and @t368 @t516 @t518 @t443)) % 0.37/0.68 (define @t520 () (= tptp.e2 @t103)) % 0.37/0.68 (define @t521 () (not @t520)) % 0.37/0.68 (define @t522 () (= tptp.e3 @t103)) % 0.37/0.68 (define @t523 () (not @t522)) % 0.37/0.68 (define @t524 () (not @t175)) % 0.37/0.68 (define @t525 () (and @t175 @t522)) % 0.37/0.68 (define @t526 () (not @t408)) % 0.37/0.68 (define @t527 () (not @t177)) % 0.37/0.68 (define @t528 () (and @t177 @t522 @t491)) % 0.37/0.68 (define @t529 () (= tptp.e2 @t115)) % 0.37/0.68 (define @t530 () (not @t529)) % 0.37/0.68 (define @t531 () (= @t85 @t115)) % 0.37/0.68 (define @t532 () (= tptp.e2 @t156)) % 0.37/0.68 (define @t533 () (not @t532)) % 0.37/0.68 (define @t534 () (not @t531)) % 0.37/0.68 (define @t535 () (not @t534)) % 0.37/0.68 (define @t536 () (= tptp.e2 @t85)) % 0.37/0.68 (define @t537 () (and @t532 @t534 @t443)) % 0.37/0.68 (define @t538 () (= tptp.e1 @t103)) % 0.37/0.68 (define @t539 () (= tptp.e2 @t109)) % 0.37/0.68 (define @t540 () (not @t539)) % 0.37/0.68 (define @t541 () (= tptp.e1 @t91)) % 0.37/0.68 (define @t542 () (not @t541)) % 0.37/0.68 (define @t543 () (= tptp.e2 @t91)) % 0.37/0.68 (define @t544 () (not @t543)) % 0.37/0.68 (define @t545 () (not @t181)) % 0.37/0.68 (define @t546 () (and @t181 @t543)) % 0.37/0.68 (define @t547 () (not @t403)) % 0.37/0.68 (define @t548 () (and @t179 @t183 @t543)) % 0.37/0.68 (define @t549 () (= tptp.e1 @t1)) % 0.37/0.68 (define @t550 () (not @t549)) % 0.37/0.68 (define @t551 () (= @t1 @t13)) % 0.37/0.68 (define @t552 () (= tptp.e1 @t159)) % 0.37/0.68 (define @t553 () (not @t552)) % 0.37/0.68 (define @t554 () (not @t551)) % 0.37/0.68 (define @t555 () (and @t552 @t549 @t184 @t554)) % 0.37/0.68 (define @t556 () (= tptp.e1 @t121)) % 0.37/0.68 (define @t557 () (not @t556)) % 0.37/0.68 (define @t558 () (and @t177 @t432 @t462 @t443)) % 0.37/0.68 (define @t559 () (= tptp.e1 @t61)) % 0.37/0.68 (define @t560 () (= tptp.e2 @t31)) % 0.37/0.68 (define @t561 () (not @t560)) % 0.37/0.68 (define @t562 () (= tptp.e1 @t31)) % 0.37/0.68 (define @t563 () (not @t562)) % 0.37/0.68 (define @t564 () (and @t184 @t532 @t534 @t423 @t562 @t443)) % 0.37/0.68 (define @t565 () (and @t506 @t562)) % 0.37/0.68 (define @t566 () (= tptp.e2 @t55)) % 0.37/0.68 (define @t567 () (not @t566)) % 0.37/0.68 (define @t568 () (and @t175 @t368 @t443)) % 0.37/0.68 (define @t569 () (= tptp.e3 @t49)) % 0.37/0.68 (define @t570 () (not @t569)) % 0.37/0.68 (define @t571 () (= tptp.e2 @t49)) % 0.37/0.68 (define @t572 () (not @t571)) % 0.37/0.68 (define @t573 () (= @t61 @t85)) % 0.37/0.68 (define @t574 () (not @t573)) % 0.37/0.68 (define @t575 () (and @t183 @t532 @t574 @t571 @t443)) % 0.37/0.68 (define @t576 () (not @t390)) % 0.37/0.68 (define @t577 () (= @t61 @t79)) % 0.37/0.68 (define @t578 () (not @t577)) % 0.37/0.68 (define @t579 () (and @t183 @t578 @t571)) % 0.37/0.68 (define @t580 () (= tptp.e3 @t139)) % 0.37/0.68 (define @t581 () (not @t580)) % 0.37/0.68 (define @t582 () (and @t368 @t552 @t449 @t423 @t443)) % 0.37/0.68 (define @t583 () (= tptp.e3 @t109)) % 0.37/0.68 (define @t584 () (not @t583)) % 0.37/0.68 (define @t585 () (and @t186 @t184 @t443 @t429)) % 0.37/0.68 (define @t586 () (= tptp.e3 @t79)) % 0.37/0.68 (define @t587 () (= tptp.e4 @t19)) % 0.37/0.68 (define @t588 () (not @t587)) % 0.37/0.68 (define @t589 () (= tptp.e3 @t19)) % 0.37/0.68 (define @t590 () (not @t589)) % 0.37/0.68 (define @t591 () (= @t25 @t55)) % 0.37/0.68 (define @t592 () (not @t591)) % 0.37/0.68 (define @t593 () (and @t183 @t432 @t368 @t592 @t589 @t443)) % 0.37/0.68 (define @t594 () (= tptp.e2 @t19)) % 0.37/0.68 (define @t595 () (not @t594)) % 0.37/0.68 (define @t596 () (and @t175 @t589)) % 0.37/0.68 (define @t597 () (and @t506 @t589)) % 0.37/0.68 (define @t598 () (and @t562 @t589)) % 0.37/0.68 (define @t599 () (= tptp.e4 @t139)) % 0.37/0.68 (define @t600 () (not @t599)) % 0.37/0.68 (define @t601 () (and @t432 @t552 @t470 @t423 @t443)) % 0.37/0.68 (define @t602 () (= tptp.e2 @t1)) % 0.37/0.68 (define @t603 () (not @t602)) % 0.37/0.68 (define @t604 () (= tptp.e2 @t25)) % 0.37/0.68 (define @t605 () (not @t604)) % 0.37/0.68 (define @t606 () (and @t173 @t432 @t443)) % 0.37/0.68 (define @t607 () (= tptp.e2 @t13)) % 0.37/0.68 (define @t608 () (not @t607)) % 0.37/0.68 (define @t609 () (and @t184 @t532 @t534 @t423 @t443)) % 0.37/0.68 (define @t610 () (= tptp.e1 @t79)) % 0.37/0.68 (define @t611 () (not @t610)) % 0.37/0.68 (define @t612 () (= tptp.e4 @t79)) % 0.37/0.68 (define @t613 () (not @t612)) % 0.37/0.68 (define @t614 () (and @t177 @t612)) % 0.37/0.68 (define @t615 () (and @t184 @t612)) % 0.37/0.68 (define @t616 () (= tptp.e2 @t7)) % 0.37/0.68 (define @t617 () (and @t183 @t616)) % 0.37/0.68 (define @t618 () (= tptp.e1 @t85)) % 0.37/0.68 (define @t619 () (not @t618)) % 0.37/0.68 (define @t620 () (and @t181 @t532 @t443)) % 0.37/0.68 (define @t621 () (= tptp.e1 @t73)) % 0.37/0.68 (define @t622 () (and @t432 @t462 @t443)) % 0.37/0.68 (define @t623 () (@list false false false)) % 0.37/0.68 (define @t624 () (not @t384)) % 0.37/0.68 (define @t625 () (@list @t290)) % 0.37/0.68 (define @t626 () (and @t368 @t516 @t443)) % 0.37/0.68 (define @t627 () (not @t392)) % 0.37/0.68 (define @t628 () (@list @t296)) % 0.37/0.68 (define @t629 () (= tptp.e2 @t157)) % 0.37/0.68 (define @t630 () (and @t532 @t629 @t443)) % 0.37/0.68 (define @t631 () (not @t402)) % 0.37/0.68 (define @t632 () (@list @t302)) % 0.37/0.68 (define @t633 () (not @t415)) % 0.37/0.68 (define @t634 () (and @t552 @t423 @t443)) % 0.37/0.68 (define @t635 () (not @t416)) % 0.37/0.68 (define @t636 () (not @t412)) % 0.37/0.68 (define @t637 () (not @t413)) % 0.37/0.68 (define @t638 () (not @t414)) % 0.37/0.68 (define @t639 () (= tptp.e1 @t67)) % 0.37/0.68 (define @t640 () (and @t522 @t639)) % 0.37/0.68 (define @t641 () (and @t171 @t184 @t379)) % 0.37/0.68 (define @t642 () (= @t43 @t55)) % 0.37/0.68 (define @t643 () (not @t642)) % 0.37/0.68 (define @t644 () (and @t516 @t496 @t451 @t643)) % 0.37/0.68 (assume @p1 (and (or @t150 @t149 @t148 @t147 @t146) (or @t144 @t143 @t142 @t141 @t140) (or @t138 @t137 @t136 @t135 @t134) (or @t132 @t131 @t130 @t129 @t128) (or @t126 @t125 @t124 @t123 @t122) (or @t120 @t119 @t118 @t117 @t116) (or @t114 @t113 @t112 @t111 @t110) (or @t108 @t107 @t106 @t105 @t104) (or @t102 @t101 @t100 @t99 @t98) (or @t96 @t95 @t94 @t93 @t92) (or @t90 @t89 @t88 @t87 @t86) (or @t84 @t83 @t82 @t81 @t80) (or @t78 @t77 @t76 @t75 @t74) (or @t72 @t71 @t70 @t69 @t68) (or @t66 @t65 @t64 @t63 @t62) (or @t60 @t59 @t58 @t57 @t56) (or @t54 @t53 @t52 @t51 @t50) (or @t48 @t47 @t46 @t45 @t44) (or @t42 @t41 @t40 @t39 @t38) (or @t36 @t35 @t34 @t33 @t32) (or @t30 @t29 @t28 @t27 @t26) (or @t24 @t23 @t22 @t21 @t20) (or @t18 @t17 @t16 @t15 @t14) (or @t12 @t11 @t10 @t9 @t8) (or @t6 @t5 @t4 @t3 @t2))) % 0.37/0.68 (assume @p2 (and (= (tptp.op tptp.unit tptp.e0) tptp.e0) (= (tptp.op tptp.e0 tptp.unit) tptp.e0) (= @t159 tptp.e1) (= @t158 tptp.e1) (= @t157 tptp.e2) (= @t156 tptp.e2) (= @t155 tptp.e3) (= @t154 tptp.e3) (= @t153 tptp.e4) (= @t152 tptp.e4) @t151)) % 0.37/0.68 (assume @p3 (and (or @t150 @t144 @t138 @t132 @t126) (or @t150 @t120 @t90 @t60 @t30) (or @t149 @t143 @t137 @t131 @t125) (or @t149 @t119 @t89 @t59 @t29) (or @t148 @t142 @t136 @t130 @t124) (or @t148 @t118 @t88 @t58 @t28) (or @t147 @t141 @t135 @t129 @t123) (or @t147 @t117 @t87 @t57 @t27) (or @t146 @t140 @t134 @t128 @t122) (or @t146 @t116 @t86 @t56 @t26) (or @t120 @t114 @t108 @t102 @t96) (or @t144 @t114 @t84 @t54 @t24) (or @t119 @t113 @t107 @t101 @t95) (or @t143 @t113 @t83 @t53 @t23) @t169 (or @t142 @t112 @t82 @t52 @t22) (or @t117 @t111 @t105 @t99 @t93) @t168 @t167 @t166 (or @t90 @t84 @t78 @t72 @t66) (or @t138 @t108 @t78 @t48 @t18) @t165 (or @t137 @t107 @t77 @t47 @t17) (or @t88 @t82 @t76 @t70 @t64) (or @t136 @t106 @t76 @t46 @t16) (or @t87 @t81 @t75 @t69 @t63) @t164 (or @t86 @t80 @t74 @t68 @t62) @t163 (or @t60 @t54 @t48 @t42 @t36) (or @t132 @t102 @t72 @t42 @t12) (or @t59 @t53 @t47 @t41 @t35) (or @t131 @t101 @t71 @t41 @t11) @t162 (or @t130 @t100 @t70 @t40 @t10) (or @t57 @t51 @t45 @t39 @t33) (or @t129 @t99 @t69 @t39 @t9) (or @t56 @t50 @t44 @t38 @t32) (or @t128 @t98 @t68 @t38 @t8) (or @t30 @t24 @t18 @t12 @t6) (or @t126 @t96 @t66 @t36 @t6) (or @t29 @t23 @t17 @t11 @t5) @t161 @t160 (or @t124 @t94 @t64 @t34 @t4) (or @t27 @t21 @t15 @t9 @t3) (or @t123 @t93 @t63 @t33 @t3) (or @t26 @t20 @t14 @t8 @t2) (or @t122 @t92 @t62 @t32 @t2))) % 0.37/0.68 (assume @p4 (and (not (= @t145 @t115)) (not (= @t145 @t85)) (not (= @t145 @t55)) (not (= @t145 @t25)) (not (= @t115 @t85)) (not (= @t115 @t55)) (not (= @t115 @t25)) (not (= @t85 @t55)) (not (= @t85 @t25)) (not (= @t55 @t25)) (not (= @t139 @t109)) (not (= @t139 @t79)) (not (= @t139 @t49)) (not (= @t139 @t19)) (not (= @t109 @t79)) (not (= @t109 @t49)) (not (= @t109 @t19)) (not (= @t79 @t49)) (not (= @t79 @t19)) (not (= @t49 @t19)) (not (= @t133 @t103)) (not (= @t133 @t73)) (not (= @t133 @t43)) (not (= @t133 @t13)) (not (= @t103 @t73)) (not (= @t103 @t43)) (not (= @t103 @t13)) (not (= @t73 @t43)) (not (= @t73 @t13)) (not (= @t43 @t13)) (not (= @t127 @t97)) (not (= @t127 @t67)) (not (= @t127 @t37)) (not (= @t127 @t7)) (not (= @t97 @t67)) (not (= @t97 @t37)) (not (= @t97 @t7)) (not (= @t67 @t37)) (not (= @t67 @t7)) (not (= @t37 @t7)) (not (= @t121 @t91)) (not (= @t121 @t61)) (not (= @t121 @t31)) (not (= @t121 @t1)) (not (= @t91 @t61)) (not (= @t91 @t31)) (not (= @t91 @t1)) (not (= @t61 @t31)) (not (= @t61 @t1)) (not (= @t31 @t1)) (not (= @t145 @t139)) (not (= @t145 @t133)) (not (= @t145 @t127)) (not (= @t145 @t121)) (not (= @t139 @t133)) (not (= @t139 @t127)) (not (= @t139 @t121)) (not (= @t133 @t127)) (not (= @t133 @t121)) (not (= @t127 @t121)) (not (= @t115 @t109)) (not (= @t115 @t103)) (not (= @t115 @t97)) (not (= @t115 @t91)) (not (= @t109 @t103)) (not (= @t109 @t97)) (not (= @t109 @t91)) (not (= @t103 @t97)) (not (= @t103 @t91)) (not (= @t97 @t91)) (not (= @t85 @t79)) (not (= @t85 @t73)) (not (= @t85 @t67)) (not (= @t85 @t61)) (not (= @t79 @t73)) (not (= @t79 @t67)) (not (= @t79 @t61)) (not (= @t73 @t67)) (not (= @t73 @t61)) (not (= @t67 @t61)) (not (= @t55 @t49)) (not (= @t55 @t43)) (not (= @t55 @t37)) (not (= @t55 @t31)) (not (= @t49 @t43)) (not (= @t49 @t37)) (not (= @t49 @t31)) (not (= @t43 @t37)) (not (= @t43 @t31)) (not (= @t37 @t31)) (not (= @t25 @t19)) (not (= @t25 @t13)) (not (= @t25 @t7)) (not (= @t25 @t1)) (not (= @t19 @t13)) (not (= @t19 @t7)) (not (= @t19 @t1)) (not (= @t13 @t7)) (not (= @t13 @t1)) (not (= @t7 @t1)))) % 0.37/0.68 (assume @p5 (and (not @t182) (not (= tptp.e0 tptp.e2)) (not (= tptp.e0 tptp.e3)) (not (= tptp.e0 tptp.e4)) @t181 @t179 @t177 @t175 @t173 @t171)) % 0.37/0.68 (assume @p6 (and @t186 @t184 @t183)) % 0.37/0.68 (assume @p7 (not (not @t367))) % 0.37/0.68 (assume @p8 true) % 0.37/0.68 (step @p9 :rule and_elim :premises (@p2) :args (6)) % 0.37/0.68 (step @p10 :rule symm :premises (@p9)) % 0.37/0.68 (step @p11 :rule and_elim :premises (@p2) :args (7)) % 0.37/0.68 (step @p12 :rule symm :premises (@p11)) % 0.37/0.68 (step @p13 :rule and_elim :premises (@p4) :args (81)) % 0.37/0.68 (step @p14 :rule symm :premises (@p13)) % 0.37/0.68 (step @p15 :rule and_elim :premises (@p6) :args (2)) % 0.37/0.68 (step @p16 :rule and_elim :premises (@p4) :args (47)) % 0.37/0.68 (step @p17 :rule symm :premises (@p16)) % 0.37/0.68 (assume-push @p2126 @t183) % 0.37/0.68 (assume-push @p2127 @t368) % 0.37/0.68 (assume-push @p2128 @t369) % 0.37/0.68 (assume-push @p2129 @t183) % 0.37/0.68 (assume-push @p2130 @t368) % 0.37/0.68 (assume-push @p2131 @t369) % 0.37/0.68 (step @p24 :rule refl :args (tptp.e3)) % 0.37/0.68 (step @p25 :rule cong :premises (@p24 @p2128) :args (@t31)) % 0.37/0.68 (step @p26 :rule trans :premises (@p25 @p11 @p15)) % 0.37/0.68 (step-pop @p2132 :rule scope :premises (@p26)) % 0.37/0.68 (step-pop @p2133 :rule scope :premises (@p2132)) % 0.37/0.68 (step-pop @p2134 :rule scope :premises (@p2133)) % 0.37/0.68 (step @p27 :rule process_scope :premises (@p2134) :args (@t370)) % 0.37/0.68 (step @p31 :rule and_intro :premises (@p15 @p12 @p2128)) % 0.37/0.68 (step @p32 :rule modus_ponens :premises (@p31 @p27)) % 0.37/0.68 (step-pop @p2135 :rule scope :premises (@p32)) % 0.37/0.68 (step-pop @p2136 :rule scope :premises (@p2135)) % 0.37/0.68 (step-pop @p2137 :rule scope :premises (@p2136)) % 0.37/0.68 (step @p33 :rule process_scope :premises (@p2137) :args (@t370)) % 0.37/0.68 (step @p37 :rule implies_elim :premises (@p33)) 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@t415 @t414 @t413 @t412 @t409 @t407 @t404 @t402 @t401 @t398 @t395 @t392 @t391 @t389 @t387 @t384 @t383 @t380 @t378)))) % 0.37/0.68 (step @p50 :rule absorb :args ((= (and false @t417 (not @t417)) false))) % 0.37/0.68 (step @p51 :rule eq-symm :args (@t187 tptp.e4)) % 0.37/0.68 (step @p52 :rule cong :premises (@p51) :args (@t189)) % 0.37/0.68 (step @p53 :rule evaluate :args ((not true))) % 0.37/0.68 (step @p54 :rule eq-refl :args (@t1)) % 0.37/0.68 (step @p55 :rule cong :premises (@p54) :args (@t190)) % 0.37/0.68 (step @p56 :rule trans :premises (@p55 @p53)) % 0.37/0.68 (step @p57 :rule nary_cong :premises (@p56 @p51 @p52) :args (@t191)) % 0.37/0.68 (step @p58 :rule trans :premises (@p57 @p50)) % 0.37/0.68 (step @p59 :rule eq-symm :args (@t192 tptp.e3)) % 0.37/0.68 (step @p60 :rule cong :premises (@p59) :args (@t193)) % 0.37/0.68 (step @p61 :rule eq-symm :args (@t194 tptp.e4)) % 0.37/0.68 (step @p62 :rule eq-symm :args (@t31 @t7)) % 0.37/0.68 (step @p63 :rule cong :premises (@p62) :args 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@p1033 @p1031 @p1251 @p1249 @p1243 @p1240 @p1192 @p1150 @p15 @p1118 @p1117 @p1091 @p1090 @p1088 @p1081 @p1071 @p1029 @p333 @p998 @p588 @p973 @p971 @p969 @p453 @p963 @p446 @p908 @p906 @p394 @p304 @p44 @p396 @p12 @p859 @p15 @p841 @p792 @p817 @p792 @p791 @p766 @p765 @p739 @p737 @p731 @p697 @p664 @p602 @p596 @p587 @p543 @p481 @p44 @p455) :args (@t379 (@list true false true true true true true true true true true true false true true true false false false false true true true true false true true true false true true false false true true true false false true false false true false true true true true false true true false false true false true false true false true false false false true false true false true true true true false true true true true false true true true true true true true true false true true true true true false false false true false false false true true true true true true true true false true true true false true true true true false true) (@list @t396 @t398 @t414 @t413 @t412 @t416 @t415 @t402 @t392 @t384 @t378 @t401 @t639 @t621 @t618 @t559 @t376 @t183 @t399 @t184 @t610 @t176 @t383 @t407 @t616 @t607 @t604 @t602 @t612 @t486 @t599 @t381 @t405 @t594 @t174 @t587 @t443 @t183 @t591 @t432 @t368 @t391 @t589 @t586 @t583 @t580 @t390 @t183 @t577 @t569 @t443 @t183 @t573 @t532 @t387 @t571 @t566 @t385 @t560 @t443 @t423 @t184 @t531 @t532 @t404 @t562 @t559 @t556 @t549 @t403 @t183 @t178 @t541 @t180 @t409 @t543 @t539 @t529 @t408 @t176 @t520 @t174 @t389 @t395 @t522 @t454 @t513 @t445 @t512 @t388 @t443 @t423 @t184 @t448 @t368 @t393 @t183 @t504 @t172 @t500 @t172 @t496 @t170 @t489 @t493 @t506 @t486 @t483 @t477 @t491 @t474 @t467 @t459 @t455 @t184 @t380))) % 0.37/0.69 (step @p2044 :rule refl :args (@t457)) % 0.37/0.69 (step @p2045 :rule nary_cong :premises (@p768 @p402 @p2044 @p975) :args ((or @t498 @t437 @t457 @t523))) % 0.37/0.69 (assume-push @p2826 @t171) % 0.37/0.69 (assume-push @p2827 @t184) % 0.37/0.69 (assume-push @p2828 @t379) % 0.37/0.69 (assume-push @p2829 @t171) % 0.37/0.69 (assume-push @p2830 @t455) % 0.37/0.69 (step @p774 :rule false_intro :premises (@p766)) % 0.37/0.69 (step @p2051 :rule symm :premises (@p2830)) % 0.37/0.69 (step @p24 :rule refl :args (tptp.e3)) % 0.37/0.69 (step @p2052 :rule cong :premises (@p24 @p2051) :args (@t522)) % 0.37/0.69 (step @p2053 :rule trans :premises (@p2052 @p774)) % 0.37/0.69 (step @p2054 :rule false_elim :premises (@p2053)) % 0.37/0.69 (step-pop @p2831 :rule scope :premises (@p2054)) % 0.37/0.69 (step-pop @p2832 :rule scope :premises (@p2831)) % 0.37/0.69 (step @p2055 :rule process_scope :premises (@p2832) :args (@t523)) % 0.37/0.69 (assume-push @p2833 @t184) % 0.37/0.69 (assume-push @p2834 @t379) % 0.37/0.69 (step @p2060 :rule cong :premises (@p45 @p464) :args (@t199)) % 0.37/0.69 (step @p2061 :rule trans :premises (@p2828 @p2060)) % 0.37/0.69 (step-pop @p2835 :rule scope :premises (@p2061)) % 0.37/0.69 (step-pop @p2836 :rule scope :premises (@p2835)) % 0.37/0.69 (step @p2062 :rule process_scope :premises (@p2836) :args (@t455)) % 0.37/0.69 (step @p2065 :rule and_intro :premises (@p44 @p2828)) % 0.37/0.69 (step @p2066 :rule modus_ponens :premises (@p2065 @p2062)) % 0.37/0.69 (step @p2067 :rule and_intro :premises (@p766 @p2066)) % 0.37/0.69 (step @p2068 :rule modus_ponens :premises (@p2067 @p2055)) % 0.37/0.69 (step-pop @p2837 :rule scope :premises (@p2068)) % 0.37/0.69 (step-pop @p2838 :rule scope :premises (@p2837)) % 0.37/0.69 (step-pop @p2839 :rule scope :premises (@p2838)) % 0.37/0.69 (step @p2069 :rule process_scope :premises (@p2839) :args (@t523)) % 0.37/0.69 (step @p2073 :rule implies_elim :premises (@p2069)) % 0.37/0.69 (step @p2074 :rule cnf_and_neg :args (@t641)) % 0.37/0.69 (step @p2075 :rule resolution :premises (@p2074 @p2073) :args (true @t641)) % 0.37/0.69 (step @p2076 :rule eq_resolve :premises (@p2075 @p2045)) % 0.37/0.69 (step @p2077 :rule reordering :premises (@p2076) :args ((or @t170 @t523 @t437 @t457))) % 0.37/0.69 (step @p2078 :rule chain_m_resolution :premises (@p2077 @p766 @p44 @p2043) :args (@t523 @t375 (@list @t170 @t184 @t379))) % 0.37/0.69 (step @p2079 :rule chain_m_resolution :premises (@p969 @p963 @p2078 @p453 @p446) :args (@t496 @t444 (@list @t513 @t522 @t454 @t445))) % 0.37/0.69 (step @p2080 :rule bool-double-not-elim :args (@t642)) % 0.37/0.69 (step @p2081 :rule nary_cong :premises (@p401 @p913 @p2080 @p767 @p398) :args ((or @t373 @t517 (not @t643) @t497 @t447))) % 0.37/0.69 (assume-push @p2840 @t516) % 0.37/0.69 (assume-push @p2841 @t496) % 0.37/0.69 (assume-push @p2842 @t451) % 0.37/0.69 (assume-push @p2843 @t643) % 0.37/0.69 (step @p613 :rule evaluate :args (@t481)) % 0.37/0.69 (step @p2086 :rule symm :premises (@p2842)) % 0.37/0.69 (step @p2087 :rule trans :premises (@p2086 @p10)) % 0.37/0.69 (step @p2088 :rule symm :premises (@p2087)) % 0.37/0.69 (step @p2089 :rule symm :premises (@p2841)) % 0.37/0.69 (step @p2090 :rule trans :premises (@p2089 @p10 @p2088)) % 0.37/0.69 (step @p2091 :rule true_intro :premises (@p2090)) % 0.37/0.69 (step @p2092 :rule false_intro :premises (@p14)) % 0.37/0.69 (step @p2093 :rule symm :premises (@p2092)) % 0.37/0.69 (step @p2094 :rule trans :premises (@p2093 @p2091)) % 0.37/0.69 (step @p2095 false :rule eq_resolve :premises (@p2094 @p613)) % 0.37/0.69 (step-pop @p2844 :rule scope :premises (@p2095)) % 0.37/0.69 (step-pop @p2845 :rule scope :premises (@p2844)) % 0.37/0.69 (step-pop @p2846 :rule scope :premises (@p2845)) % 0.37/0.69 (step-pop @p2847 :rule scope :premises (@p2846)) % 0.37/0.69 (step @p2096 :rule process_scope :premises (@p2847) :args (false)) % 0.37/0.69 (assume-push @p2848 @t368) % 0.37/0.69 (assume-push @p2849 @t516) % 0.37/0.69 (assume-push @p2850 @t643) % 0.37/0.69 (assume-push @p2851 @t496) % 0.37/0.69 (assume-push @p2852 @t443) % 0.37/0.69 (assume-push @p2853 @t443) % 0.37/0.69 (assume-push @p2854 @t368) % 0.37/0.69 (step @p425 :rule symm :premises (@p2852)) % 0.37/0.69 (step @p24 :rule refl :args (tptp.e3)) % 0.37/0.69 (step @p426 :rule cong :premises (@p24 @p425) :args (@t154)) % 0.37/0.69 (step @p427 :rule trans :premises (@p12 @p426)) % 0.37/0.69 (step-pop @p2855 :rule scope :premises (@p427)) % 0.37/0.69 (step-pop @p2856 :rule scope :premises (@p2855)) % 0.37/0.69 (step @p2108 :rule process_scope :premises (@p2856) :args (@t451)) % 0.37/0.69 (step @p2111 :rule and_intro :premises (@p2852 @p12)) % 0.37/0.69 (step @p2112 :rule modus_ponens :premises (@p2111 @p2108)) % 0.37/0.69 (step @p2113 :rule and_intro :premises (@p10 @p2851 @p2112 @p14)) % 0.37/0.69 (step-pop @p2857 :rule scope :premises (@p2113)) % 0.37/0.69 (step-pop @p2858 :rule scope :premises (@p2857)) % 0.37/0.69 (step-pop @p2859 :rule scope :premises (@p2858)) % 0.37/0.69 (step-pop @p2860 :rule scope :premises (@p2859)) % 0.37/0.69 (step-pop @p2861 :rule scope :premises (@p2860)) % 0.37/0.69 (step @p2114 :rule process_scope :premises (@p2861) :args (@t644)) % 0.37/0.69 (step @p2120 :rule implies_elim :premises (@p2114)) % 0.37/0.69 (step @p2121 :rule resolution :premises (@p2120 @p2096) :args (true @t644)) % 0.37/0.69 (step @p2122 :rule not_and :premises (@p2121)) % 0.37/0.69 (step @p2123 :rule eq_resolve :premises (@p2122 @p2081)) % 0.37/0.69 (step @p2124 :rule reordering :premises (@p2123) :args ((or @t642 @t497 @t517 @t373 @t447))) % 0.37/0.69 (step @p2125 false :rule chain_m_resolution :premises (@p2124 @p2079 @p394 @p14 @p12 @p10) :args (false (@list false false true false false) (@list @t496 @t443 @t642 @t368 @t516))) % 0.37/0.69 ) % 0.37/0.69 % SZS output end Proof % 0.37/0.69 % cvc5 exiting %------------------------------------------------------------------------------