%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG061+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 : n013.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 08:05:08 AM UTC 2026 % Result : Theorem 0.37s 0.64s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG061+1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:38:15 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.64 % SZS status Theorem % 0.37/0.64 % SZS output start Proof % 0.37/0.64 ( % 0.37/0.64 (declare-sort $$unsorted 0) % 0.37/0.64 (declare-const tptp.unit $$unsorted) % 0.37/0.64 (declare-const tptp.e0 $$unsorted) % 0.37/0.64 (declare-const tptp.e1 $$unsorted) % 0.37/0.64 (declare-const tptp.e2 $$unsorted) % 0.37/0.64 (declare-const tptp.e3 $$unsorted) % 0.37/0.64 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.e4 $$unsorted) % 0.37/0.64 (define @t1 () (tptp.op tptp.e4 tptp.e4)) % 0.37/0.64 (define @t2 () (= @t1 tptp.e4)) % 0.37/0.64 (define @t3 () (= @t1 tptp.e3)) % 0.37/0.64 (define @t4 () (= @t1 tptp.e2)) % 0.37/0.64 (define @t5 () (= @t1 tptp.e1)) % 0.37/0.64 (define @t6 () (= @t1 tptp.e0)) % 0.37/0.64 (define @t7 () (tptp.op tptp.e4 tptp.e3)) % 0.37/0.64 (define @t8 () (= @t7 tptp.e4)) % 0.37/0.64 (define @t9 () (= @t7 tptp.e3)) % 0.37/0.64 (define @t10 () (= @t7 tptp.e2)) % 0.37/0.64 (define @t11 () (= @t7 tptp.e1)) % 0.37/0.64 (define @t12 () (= @t7 tptp.e0)) % 0.37/0.64 (define @t13 () (tptp.op tptp.e4 tptp.e2)) % 0.37/0.64 (define @t14 () (= @t13 tptp.e4)) % 0.37/0.64 (define @t15 () (= @t13 tptp.e3)) % 0.37/0.64 (define @t16 () (= @t13 tptp.e2)) % 0.37/0.64 (define @t17 () (= @t13 tptp.e1)) % 0.37/0.64 (define @t18 () (= @t13 tptp.e0)) % 0.37/0.64 (define @t19 () (tptp.op tptp.e4 tptp.e1)) % 0.37/0.64 (define @t20 () (= @t19 tptp.e4)) % 0.37/0.64 (define @t21 () (= @t19 tptp.e3)) % 0.37/0.64 (define @t22 () (= @t19 tptp.e2)) % 0.37/0.64 (define @t23 () (= @t19 tptp.e1)) % 0.37/0.64 (define @t24 () (= @t19 tptp.e0)) % 0.37/0.64 (define @t25 () (tptp.op tptp.e4 tptp.e0)) % 0.37/0.64 (define @t26 () (= @t25 tptp.e4)) % 0.37/0.64 (define @t27 () (= @t25 tptp.e3)) % 0.37/0.64 (define @t28 () (= @t25 tptp.e2)) % 0.37/0.64 (define @t29 () (= @t25 tptp.e1)) % 0.37/0.64 (define @t30 () (= @t25 tptp.e0)) % 0.37/0.64 (define @t31 () (tptp.op tptp.e3 tptp.e4)) % 0.37/0.64 (define @t32 () (= @t31 tptp.e4)) % 0.37/0.64 (define @t33 () (= @t31 tptp.e3)) % 0.37/0.64 (define @t34 () (= @t31 tptp.e2)) % 0.37/0.64 (define @t35 () (= @t31 tptp.e1)) % 0.37/0.64 (define @t36 () (= @t31 tptp.e0)) % 0.37/0.64 (define @t37 () (tptp.op tptp.e3 tptp.e3)) % 0.37/0.64 (define @t38 () (= @t37 tptp.e4)) % 0.37/0.64 (define @t39 () (= @t37 tptp.e3)) % 0.37/0.64 (define @t40 () (= @t37 tptp.e2)) % 0.37/0.64 (define @t41 () (= @t37 tptp.e1)) % 0.37/0.64 (define @t42 () (= @t37 tptp.e0)) % 0.37/0.64 (define @t43 () (tptp.op tptp.e3 tptp.e2)) % 0.37/0.64 (define @t44 () (= @t43 tptp.e4)) % 0.37/0.64 (define @t45 () (= @t43 tptp.e3)) % 0.37/0.64 (define @t46 () (= @t43 tptp.e2)) % 0.37/0.64 (define @t47 () (= @t43 tptp.e1)) % 0.37/0.64 (define @t48 () (= @t43 tptp.e0)) % 0.37/0.64 (define @t49 () (tptp.op tptp.e3 tptp.e1)) % 0.37/0.64 (define @t50 () (= @t49 tptp.e4)) % 0.37/0.64 (define @t51 () (= @t49 tptp.e3)) % 0.37/0.64 (define @t52 () (= @t49 tptp.e2)) % 0.37/0.64 (define @t53 () (= @t49 tptp.e1)) % 0.37/0.64 (define @t54 () (= @t49 tptp.e0)) % 0.37/0.64 (define @t55 () (tptp.op tptp.e3 tptp.e0)) % 0.37/0.64 (define @t56 () (= @t55 tptp.e4)) % 0.37/0.64 (define @t57 () (= @t55 tptp.e3)) % 0.37/0.64 (define @t58 () (= @t55 tptp.e2)) % 0.37/0.64 (define @t59 () (= @t55 tptp.e1)) % 0.37/0.64 (define @t60 () (= @t55 tptp.e0)) % 0.37/0.64 (define @t61 () (tptp.op tptp.e2 tptp.e4)) % 0.37/0.64 (define @t62 () (= @t61 tptp.e4)) % 0.37/0.64 (define @t63 () (= @t61 tptp.e3)) % 0.37/0.64 (define @t64 () (= @t61 tptp.e2)) % 0.37/0.64 (define @t65 () (= @t61 tptp.e1)) % 0.37/0.64 (define @t66 () (= @t61 tptp.e0)) % 0.37/0.64 (define @t67 () (tptp.op tptp.e2 tptp.e3)) % 0.37/0.64 (define @t68 () (= @t67 tptp.e4)) % 0.37/0.64 (define @t69 () (= @t67 tptp.e3)) % 0.37/0.64 (define @t70 () (= @t67 tptp.e2)) % 0.37/0.64 (define @t71 () (= @t67 tptp.e1)) % 0.37/0.64 (define @t72 () (= @t67 tptp.e0)) % 0.37/0.64 (define @t73 () (tptp.op tptp.e2 tptp.e2)) % 0.37/0.64 (define @t74 () (= @t73 tptp.e4)) % 0.37/0.64 (define @t75 () (= @t73 tptp.e3)) % 0.37/0.64 (define @t76 () (= @t73 tptp.e2)) % 0.37/0.64 (define @t77 () (= @t73 tptp.e1)) % 0.37/0.64 (define @t78 () (= @t73 tptp.e0)) % 0.37/0.64 (define @t79 () (tptp.op tptp.e2 tptp.e1)) % 0.37/0.64 (define @t80 () (= @t79 tptp.e4)) % 0.37/0.64 (define @t81 () (= @t79 tptp.e3)) % 0.37/0.64 (define @t82 () (= @t79 tptp.e2)) % 0.37/0.64 (define @t83 () (= @t79 tptp.e1)) % 0.37/0.64 (define @t84 () (= @t79 tptp.e0)) % 0.37/0.64 (define @t85 () (tptp.op tptp.e2 tptp.e0)) % 0.37/0.64 (define @t86 () (= @t85 tptp.e4)) % 0.37/0.64 (define @t87 () (= @t85 tptp.e3)) % 0.37/0.64 (define @t88 () (= @t85 tptp.e2)) % 0.37/0.64 (define @t89 () (= @t85 tptp.e1)) % 0.37/0.64 (define @t90 () (= @t85 tptp.e0)) % 0.37/0.64 (define @t91 () (tptp.op tptp.e1 tptp.e4)) % 0.37/0.64 (define @t92 () (= @t91 tptp.e4)) % 0.37/0.64 (define @t93 () (= @t91 tptp.e3)) % 0.37/0.64 (define @t94 () (= @t91 tptp.e2)) % 0.37/0.64 (define @t95 () (= @t91 tptp.e1)) % 0.37/0.64 (define @t96 () (= @t91 tptp.e0)) % 0.37/0.64 (define @t97 () (tptp.op tptp.e1 tptp.e3)) % 0.37/0.64 (define @t98 () (= @t97 tptp.e4)) % 0.37/0.64 (define @t99 () (= @t97 tptp.e3)) % 0.37/0.64 (define @t100 () (= @t97 tptp.e2)) % 0.37/0.64 (define @t101 () (= @t97 tptp.e1)) % 0.37/0.64 (define @t102 () (= @t97 tptp.e0)) % 0.37/0.64 (define @t103 () (tptp.op tptp.e1 tptp.e2)) % 0.37/0.65 (define @t104 () (= @t103 tptp.e4)) % 0.37/0.65 (define @t105 () (= @t103 tptp.e3)) % 0.37/0.65 (define @t106 () (= @t103 tptp.e2)) % 0.37/0.65 (define @t107 () (= @t103 tptp.e1)) % 0.37/0.65 (define @t108 () (= @t103 tptp.e0)) % 0.37/0.65 (define @t109 () (tptp.op tptp.e1 tptp.e1)) % 0.37/0.65 (define @t110 () (= @t109 tptp.e4)) % 0.37/0.65 (define @t111 () (= @t109 tptp.e3)) % 0.37/0.65 (define @t112 () (= @t109 tptp.e2)) % 0.37/0.65 (define @t113 () (= @t109 tptp.e1)) % 0.37/0.65 (define @t114 () (= @t109 tptp.e0)) % 0.37/0.65 (define @t115 () (tptp.op tptp.e1 tptp.e0)) % 0.37/0.65 (define @t116 () (= @t115 tptp.e4)) % 0.37/0.65 (define @t117 () (= @t115 tptp.e3)) % 0.37/0.65 (define @t118 () (= @t115 tptp.e2)) % 0.37/0.65 (define @t119 () (= @t115 tptp.e1)) % 0.37/0.65 (define @t120 () (= @t115 tptp.e0)) % 0.37/0.65 (define @t121 () (tptp.op tptp.e0 tptp.e4)) % 0.37/0.65 (define @t122 () (= @t121 tptp.e4)) % 0.37/0.65 (define @t123 () (= @t121 tptp.e3)) % 0.37/0.65 (define @t124 () (= @t121 tptp.e2)) % 0.37/0.65 (define @t125 () (= @t121 tptp.e1)) % 0.37/0.65 (define @t126 () (= @t121 tptp.e0)) % 0.37/0.65 (define @t127 () (tptp.op tptp.e0 tptp.e3)) % 0.37/0.65 (define @t128 () (= @t127 tptp.e4)) % 0.37/0.65 (define @t129 () (= @t127 tptp.e3)) % 0.37/0.65 (define @t130 () (= @t127 tptp.e2)) % 0.37/0.65 (define @t131 () (= @t127 tptp.e1)) % 0.37/0.65 (define @t132 () (= @t127 tptp.e0)) % 0.37/0.65 (define @t133 () (tptp.op tptp.e0 tptp.e2)) % 0.37/0.65 (define @t134 () (= @t133 tptp.e4)) % 0.37/0.65 (define @t135 () (= @t133 tptp.e3)) % 0.37/0.65 (define @t136 () (= @t133 tptp.e2)) % 0.37/0.65 (define @t137 () (= @t133 tptp.e1)) % 0.37/0.65 (define @t138 () (= @t133 tptp.e0)) % 0.37/0.65 (define @t139 () (tptp.op tptp.e0 tptp.e1)) % 0.37/0.65 (define @t140 () (= @t139 tptp.e4)) % 0.37/0.65 (define @t141 () (= @t139 tptp.e3)) % 0.37/0.65 (define @t142 () (= @t139 tptp.e2)) % 0.37/0.65 (define @t143 () (= @t139 tptp.e1)) % 0.37/0.65 (define @t144 () (= @t139 tptp.e0)) % 0.37/0.65 (define @t145 () (tptp.op tptp.e0 tptp.e0)) % 0.37/0.65 (define @t146 () (= @t145 tptp.e4)) % 0.37/0.65 (define @t147 () (= @t145 tptp.e3)) % 0.37/0.65 (define @t148 () (= @t145 tptp.e2)) % 0.37/0.65 (define @t149 () (= @t145 tptp.e1)) % 0.37/0.65 (define @t150 () (= @t145 tptp.e0)) % 0.37/0.65 (define @t151 () (or (= tptp.unit tptp.e0) (= tptp.unit tptp.e1) (= tptp.unit tptp.e2) (= tptp.unit tptp.e3) (= tptp.unit tptp.e4))) % 0.37/0.65 (define @t152 () (tptp.op tptp.e4 tptp.unit)) % 0.37/0.65 (define @t153 () (tptp.op tptp.unit tptp.e4)) % 0.37/0.65 (define @t154 () (tptp.op tptp.e3 tptp.unit)) % 0.37/0.65 (define @t155 () (tptp.op tptp.e2 tptp.unit)) % 0.37/0.65 (define @t156 () (tptp.op tptp.unit tptp.e2)) % 0.37/0.65 (define @t157 () (tptp.op tptp.e1 tptp.unit)) % 0.37/0.65 (define @t158 () (tptp.op tptp.unit tptp.e1)) % 0.37/0.65 (define @t159 () (tptp.op tptp.e0 tptp.unit)) % 0.37/0.65 (define @t160 () (or @t58 @t52 @t46 @t40 @t34)) % 0.37/0.65 (define @t161 () (or @t134 @t104 @t74 @t44 @t14)) % 0.37/0.65 (define @t162 () (or @t137 @t107 @t77 @t47 @t17)) % 0.37/0.65 (define @t163 () (or @t141 @t111 @t81 @t51 @t21)) % 0.37/0.65 (define @t164 () (or @t117 @t111 @t105 @t99 @t93)) % 0.37/0.65 (define @t165 () (or @t118 @t112 @t106 @t100 @t94)) % 0.37/0.65 (define @t166 () (or @t144 @t114 @t84 @t54 @t24)) % 0.37/0.65 (define @t167 () (= tptp.e2 tptp.e4)) % 0.37/0.65 (define @t168 () (not @t167)) % 0.37/0.65 (define @t169 () (= tptp.e2 tptp.e3)) % 0.37/0.65 (define @t170 () (not @t169)) % 0.37/0.65 (define @t171 () (= tptp.e1 tptp.e3)) % 0.37/0.65 (define @t172 () (not @t171)) % 0.37/0.65 (define @t173 () (= tptp.e1 tptp.e2)) % 0.37/0.65 (define @t174 () (not @t173)) % 0.37/0.65 (define @t175 () (= tptp.e0 tptp.e3)) % 0.37/0.65 (define @t176 () (not @t175)) % 0.37/0.65 (define @t177 () (= tptp.e0 tptp.e2)) % 0.37/0.65 (define @t178 () (not @t177)) % 0.37/0.65 (define @t179 () (= tptp.e0 tptp.e1)) % 0.37/0.65 (define @t180 () (not @t179)) % 0.37/0.65 (define @t181 () (= tptp.e4 @t109)) % 0.37/0.65 (define @t182 () (tptp.op @t109 @t109)) % 0.37/0.65 (define @t183 () (tptp.op @t182 @t182)) % 0.37/0.65 (define @t184 () (= tptp.e3 @t183)) % 0.37/0.65 (define @t185 () (= tptp.e2 @t182)) % 0.37/0.65 (define @t186 () (tptp.op tptp.e1 @t182)) % 0.37/0.65 (define @t187 () (= tptp.e0 @t186)) % 0.37/0.65 (define @t188 () (tptp.op tptp.e4 @t1)) % 0.37/0.65 (define @t189 () (= @t188 tptp.e4)) % 0.37/0.65 (define @t190 () (not @t189)) % 0.37/0.65 (define @t191 () (and @t190 @t189)) % 0.37/0.65 (define @t192 () (tptp.op tptp.e4 @t31)) % 0.37/0.65 (define @t193 () (tptp.op tptp.e3 @t31)) % 0.37/0.65 (define @t194 () (not (= @t193 tptp.e4))) % 0.37/0.65 (define @t195 () (and @t194 (= @t192 tptp.e3))) % 0.37/0.65 (define @t196 () (tptp.op tptp.e4 @t61)) % 0.37/0.65 (define @t197 () (tptp.op tptp.e2 @t61)) % 0.37/0.65 (define @t198 () (not (= @t197 tptp.e4))) % 0.37/0.65 (define @t199 () (and @t198 (= @t196 tptp.e2))) % 0.37/0.65 (define @t200 () (tptp.op tptp.e4 @t91)) % 0.37/0.65 (define @t201 () (tptp.op tptp.e1 @t91)) % 0.37/0.65 (define @t202 () (not (= @t201 tptp.e4))) % 0.37/0.65 (define @t203 () (and @t202 (= @t200 tptp.e1))) % 0.37/0.65 (define @t204 () (tptp.op tptp.e4 @t121)) % 0.37/0.65 (define @t205 () (tptp.op tptp.e0 @t121)) % 0.37/0.65 (define @t206 () (not (= @t205 tptp.e4))) % 0.37/0.65 (define @t207 () (and @t206 (= @t204 tptp.e0))) % 0.37/0.65 (define @t208 () (or @t207 @t203 @t199 @t195 @t191)) % 0.37/0.65 (define @t209 () (tptp.op tptp.e3 @t7)) % 0.37/0.65 (define @t210 () (tptp.op tptp.e4 @t7)) % 0.37/0.65 (define @t211 () (not (= @t210 tptp.e3))) % 0.37/0.65 (define @t212 () (and @t211 (= @t209 tptp.e4))) % 0.37/0.65 (define @t213 () (tptp.op tptp.e3 @t37)) % 0.37/0.65 (define @t214 () (= @t213 tptp.e3)) % 0.37/0.65 (define @t215 () (not @t214)) % 0.37/0.65 (define @t216 () (and @t215 @t214)) % 0.37/0.65 (define @t217 () (tptp.op tptp.e3 @t67)) % 0.37/0.65 (define @t218 () (tptp.op tptp.e2 @t67)) % 0.37/0.65 (define @t219 () (not (= @t218 tptp.e3))) % 0.37/0.65 (define @t220 () (and @t219 (= @t217 tptp.e2))) % 0.37/0.65 (define @t221 () (tptp.op tptp.e3 @t97)) % 0.37/0.65 (define @t222 () (tptp.op tptp.e1 @t97)) % 0.37/0.65 (define @t223 () (not (= @t222 tptp.e3))) % 0.37/0.65 (define @t224 () (and @t223 (= @t221 tptp.e1))) % 0.37/0.65 (define @t225 () (tptp.op tptp.e3 @t127)) % 0.37/0.65 (define @t226 () (tptp.op tptp.e0 @t127)) % 0.37/0.65 (define @t227 () (not (= @t226 tptp.e3))) % 0.37/0.65 (define @t228 () (and @t227 (= @t225 tptp.e0))) % 0.37/0.65 (define @t229 () (or @t228 @t224 @t220 @t216 @t212)) % 0.37/0.65 (define @t230 () (tptp.op tptp.e2 @t13)) % 0.37/0.65 (define @t231 () (tptp.op tptp.e4 @t13)) % 0.37/0.65 (define @t232 () (not (= @t231 tptp.e2))) % 0.37/0.65 (define @t233 () (and @t232 (= @t230 tptp.e4))) % 0.37/0.65 (define @t234 () (tptp.op tptp.e2 @t43)) % 0.37/0.65 (define @t235 () (tptp.op tptp.e3 @t43)) % 0.37/0.65 (define @t236 () (not (= @t235 tptp.e2))) % 0.37/0.65 (define @t237 () (and @t236 (= @t234 tptp.e3))) % 0.37/0.65 (define @t238 () (tptp.op tptp.e2 @t73)) % 0.37/0.65 (define @t239 () (= @t238 tptp.e2)) % 0.37/0.65 (define @t240 () (not @t239)) % 0.37/0.65 (define @t241 () (and @t240 @t239)) % 0.37/0.65 (define @t242 () (tptp.op tptp.e2 @t103)) % 0.37/0.65 (define @t243 () (tptp.op tptp.e1 @t103)) % 0.37/0.65 (define @t244 () (not (= @t243 tptp.e2))) % 0.37/0.65 (define @t245 () (and @t244 (= @t242 tptp.e1))) % 0.37/0.65 (define @t246 () (tptp.op tptp.e2 @t133)) % 0.37/0.65 (define @t247 () (tptp.op tptp.e0 @t133)) % 0.37/0.65 (define @t248 () (not (= @t247 tptp.e2))) % 0.37/0.65 (define @t249 () (and @t248 (= @t246 tptp.e0))) % 0.37/0.65 (define @t250 () (or @t249 @t245 @t241 @t237 @t233)) % 0.37/0.65 (define @t251 () (tptp.op tptp.e1 @t19)) % 0.37/0.65 (define @t252 () (tptp.op tptp.e4 @t19)) % 0.37/0.65 (define @t253 () (not (= @t252 tptp.e1))) % 0.37/0.65 (define @t254 () (and @t253 (= @t251 tptp.e4))) % 0.37/0.65 (define @t255 () (tptp.op tptp.e1 @t49)) % 0.37/0.65 (define @t256 () (tptp.op tptp.e3 @t49)) % 0.37/0.65 (define @t257 () (not (= @t256 tptp.e1))) % 0.37/0.65 (define @t258 () (and @t257 (= @t255 tptp.e3))) % 0.37/0.65 (define @t259 () (tptp.op tptp.e1 @t79)) % 0.37/0.65 (define @t260 () (tptp.op tptp.e2 @t79)) % 0.37/0.65 (define @t261 () (not (= @t260 tptp.e1))) % 0.37/0.65 (define @t262 () (and @t261 (= @t259 tptp.e2))) % 0.37/0.65 (define @t263 () (tptp.op tptp.e1 @t109)) % 0.37/0.65 (define @t264 () (= @t263 tptp.e1)) % 0.37/0.65 (define @t265 () (not @t264)) % 0.37/0.65 (define @t266 () (and @t265 @t264)) % 0.37/0.65 (define @t267 () (tptp.op tptp.e1 @t139)) % 0.37/0.65 (define @t268 () (tptp.op tptp.e0 @t139)) % 0.37/0.65 (define @t269 () (not (= @t268 tptp.e1))) % 0.37/0.65 (define @t270 () (and @t269 (= @t267 tptp.e0))) % 0.37/0.65 (define @t271 () (or @t270 @t266 @t262 @t258 @t254)) % 0.37/0.65 (define @t272 () (tptp.op tptp.e0 @t25)) % 0.37/0.65 (define @t273 () (tptp.op tptp.e4 @t25)) % 0.37/0.65 (define @t274 () (not (= @t273 tptp.e0))) % 0.37/0.65 (define @t275 () (and @t274 (= @t272 tptp.e4))) % 0.37/0.65 (define @t276 () (tptp.op tptp.e0 @t55)) % 0.37/0.65 (define @t277 () (tptp.op tptp.e3 @t55)) % 0.37/0.65 (define @t278 () (not (= @t277 tptp.e0))) % 0.37/0.65 (define @t279 () (and @t278 (= @t276 tptp.e3))) % 0.37/0.65 (define @t280 () (tptp.op tptp.e0 @t85)) % 0.37/0.65 (define @t281 () (tptp.op tptp.e2 @t85)) % 0.37/0.65 (define @t282 () (not (= @t281 tptp.e0))) % 0.37/0.65 (define @t283 () (and @t282 (= @t280 tptp.e2))) % 0.37/0.65 (define @t284 () (tptp.op tptp.e0 @t115)) % 0.37/0.65 (define @t285 () (tptp.op tptp.e1 @t115)) % 0.37/0.65 (define @t286 () (not (= @t285 tptp.e0))) % 0.37/0.65 (define @t287 () (and @t286 (= @t284 tptp.e1))) % 0.37/0.65 (define @t288 () (tptp.op tptp.e0 @t145)) % 0.37/0.65 (define @t289 () (= @t288 tptp.e0)) % 0.37/0.65 (define @t290 () (not @t289)) % 0.37/0.65 (define @t291 () (and @t290 @t289)) % 0.37/0.65 (define @t292 () (or @t291 @t287 @t283 @t279 @t275)) % 0.37/0.65 (define @t293 () (or @t146 @t110 @t74 @t38 @t2)) % 0.37/0.65 (define @t294 () (or @t147 @t111 @t75 @t39 @t3)) % 0.37/0.65 (define @t295 () (or @t148 @t112 @t76 @t40 @t4)) % 0.37/0.65 (define @t296 () (or @t149 @t113 @t77 @t41 @t5)) % 0.37/0.65 (define @t297 () (or @t150 @t114 @t78 @t42 @t6)) % 0.37/0.65 (define @t298 () (and @t297 @t296 @t295 @t294 @t293 @t292 @t271 @t250 @t229 @t208)) % 0.37/0.65 (define @t299 () (= tptp.e4 @t152)) % 0.37/0.65 (define @t300 () (= tptp.e4 tptp.unit)) % 0.37/0.65 (define @t301 () (and @t185 @t181 @t299 @t300)) % 0.37/0.65 (define @t302 () (not @t185)) % 0.37/0.65 (define @t303 () (not @t300)) % 0.37/0.65 (define @t304 () (not @t299)) % 0.37/0.65 (define @t305 () (not @t181)) % 0.37/0.65 (define @t306 () (@list true false false false)) % 0.37/0.65 (define @t307 () (= tptp.e0 @t37)) % 0.37/0.65 (define @t308 () (not @t307)) % 0.37/0.65 (define @t309 () (= tptp.e3 tptp.unit)) % 0.37/0.65 (define @t310 () (not @t309)) % 0.37/0.65 (define @t311 () (= tptp.e3 @t154)) % 0.37/0.65 (define @t312 () (not @t311)) % 0.37/0.65 (define @t313 () (not @t176)) % 0.37/0.65 (define @t314 () (= tptp.e3 @t37)) % 0.37/0.65 (define @t315 () (and @t176 @t311 @t309)) % 0.37/0.65 (define @t316 () (= tptp.e0 @t145)) % 0.37/0.65 (define @t317 () (not @t316)) % 0.37/0.65 (define @t318 () (= @t127 @t145)) % 0.37/0.65 (define @t319 () (= tptp.e0 @t159)) % 0.37/0.65 (define @t320 () (not @t319)) % 0.37/0.65 (define @t321 () (not @t318)) % 0.37/0.65 (define @t322 () (= tptp.e0 @t127)) % 0.37/0.65 (define @t323 () (and @t319 @t321 @t309)) % 0.37/0.65 (define @t324 () (= tptp.e0 @t1)) % 0.37/0.65 (define @t325 () (not @t324)) % 0.37/0.65 (define @t326 () (not @t178)) % 0.37/0.65 (define @t327 () (= tptp.e2 @t1)) % 0.37/0.65 (define @t328 () (and @t178 @t185 @t181)) % 0.37/0.65 (define @t329 () (@list true false false)) % 0.37/0.65 (define @t330 () (= tptp.e0 @t109)) % 0.37/0.65 (define @t331 () (= tptp.e0 @t73)) % 0.37/0.65 (define @t332 () (not @t331)) % 0.37/0.65 (define @t333 () (not @t184)) % 0.37/0.65 (define @t334 () (= tptp.e3 @t73)) % 0.37/0.65 (define @t335 () (and @t176 @t185 @t184)) % 0.37/0.65 (define @t336 () (= tptp.e2 tptp.unit)) % 0.37/0.65 (define @t337 () (= @t43 @t73)) % 0.37/0.65 (define @t338 () (and @t185 @t184 @t311 @t336)) % 0.37/0.65 (define @t339 () (not @t336)) % 0.37/0.65 (define @t340 () (= tptp.e1 tptp.unit)) % 0.37/0.65 (define @t341 () (= @t19 @t109)) % 0.37/0.65 (define @t342 () (and @t181 @t299 @t340)) % 0.37/0.65 (define @t343 () (not @t340)) % 0.37/0.65 (define @t344 () (= tptp.e0 tptp.unit)) % 0.37/0.65 (define @t345 () (@list true true true true)) % 0.37/0.65 (define @t346 () (= tptp.e2 @t31)) % 0.37/0.65 (define @t347 () (= tptp.e1 @t1)) % 0.37/0.65 (define @t348 () (= tptp.e1 @t73)) % 0.37/0.65 (define @t349 () (= tptp.e1 @t109)) % 0.37/0.65 (define @t350 () (= tptp.e1 @t145)) % 0.37/0.65 (define @t351 () (not @t350)) % 0.37/0.65 (define @t352 () (not @t344)) % 0.37/0.65 (define @t353 () (= @t115 @t145)) % 0.37/0.65 (define @t354 () (= tptp.e1 @t157)) % 0.37/0.65 (define @t355 () (not @t354)) % 0.37/0.65 (define @t356 () (not @t353)) % 0.37/0.65 (define @t357 () (= tptp.e1 @t115)) % 0.37/0.65 (define @t358 () (and @t354 @t356 @t344)) % 0.37/0.65 (define @t359 () (= tptp.e1 @t37)) % 0.37/0.65 (define @t360 () (= tptp.e2 @t37)) % 0.37/0.65 (define @t361 () (not @t360)) % 0.37/0.65 (define @t362 () (not @t359)) % 0.37/0.65 (define @t363 () (= @t85 @t115)) % 0.37/0.65 (define @t364 () (= tptp.e2 @t155)) % 0.37/0.65 (define @t365 () (not @t364)) % 0.37/0.65 (define @t366 () (not @t363)) % 0.37/0.65 (define @t367 () (not @t366)) % 0.37/0.65 (define @t368 () (= tptp.e2 @t85)) % 0.37/0.65 (define @t369 () (and @t364 @t354 @t366 @t359 @t344)) % 0.37/0.65 (define @t370 () (@list true false false false false)) % 0.37/0.65 (define @t371 () (= tptp.e1 @t43)) % 0.37/0.65 (define @t372 () (not @t371)) % 0.37/0.65 (define @t373 () (= @t37 @t43)) % 0.37/0.65 (define @t374 () (not @t373)) % 0.37/0.65 (define @t375 () (and @t374 @t359)) % 0.37/0.65 (define @t376 () (@list true false)) % 0.37/0.65 (define @t377 () (= tptp.e1 @t103)) % 0.37/0.65 (define @t378 () (not @t377)) % 0.37/0.65 (define @t379 () (not @t187)) % 0.37/0.65 (define @t380 () (= tptp.e0 @t103)) % 0.37/0.65 (define @t381 () (and @t187 @t185 @t344 @t343)) % 0.37/0.65 (define @t382 () (= tptp.e1 @t133)) % 0.37/0.65 (define @t383 () (not @t382)) % 0.37/0.65 (define @t384 () (= tptp.e2 @t156)) % 0.37/0.65 (define @t385 () (not @t384)) % 0.37/0.65 (define @t386 () (= tptp.e2 @t133)) % 0.37/0.65 (define @t387 () (and @t174 @t384 @t344)) % 0.37/0.65 (define @t388 () (= tptp.e1 @t13)) % 0.37/0.65 (define @t389 () (= tptp.e4 @t13)) % 0.37/0.65 (define @t390 () (not @t389)) % 0.37/0.65 (define @t391 () (not @t388)) % 0.37/0.65 (define @t392 () (= @t109 @t115)) % 0.37/0.65 (define @t393 () (not @t392)) % 0.37/0.65 (define @t394 () (and @t181 @t354 @t393 @t388 @t344)) % 0.37/0.65 (define @t395 () (= tptp.e4 @t73)) % 0.37/0.65 (define @t396 () (not @t395)) % 0.37/0.65 (define @t397 () (= @t25 @t55)) % 0.37/0.65 (define @t398 () (not @t397)) % 0.37/0.65 (define @t399 () (= tptp.e4 @t25)) % 0.37/0.65 (define @t400 () (= tptp.e3 @t55)) % 0.37/0.65 (define @t401 () (and @t185 @t184 @t299 @t311 @t398 @t344)) % 0.37/0.65 (define @t402 () (= tptp.e4 @t103)) % 0.37/0.65 (define @t403 () (not @t402)) % 0.37/0.65 (define @t404 () (and @t187 @t185 @t344 @t303)) % 0.37/0.65 (define @t405 () (= tptp.e4 @t133)) % 0.37/0.65 (define @t406 () (not @t405)) % 0.37/0.65 (define @t407 () (= @t121 @t133)) % 0.37/0.65 (define @t408 () (= tptp.e4 @t153)) % 0.37/0.65 (define @t409 () (not @t408)) % 0.37/0.65 (define @t410 () (not @t407)) % 0.37/0.65 (define @t411 () (= tptp.e4 @t121)) % 0.37/0.65 (define @t412 () (and @t408 @t410 @t344)) % 0.37/0.65 (define @t413 () (= tptp.e4 @t43)) % 0.37/0.65 (define @t414 () (= tptp.e2 @t43)) % 0.37/0.65 (define @t415 () (not @t414)) % 0.37/0.65 (define @t416 () (not @t413)) % 0.37/0.65 (define @t417 () (and @t168 @t413)) % 0.37/0.65 (define @t418 () (= tptp.e2 @t55)) % 0.37/0.65 (define @t419 () (not @t418)) % 0.37/0.65 (define @t420 () (and @t170 @t311 @t344)) % 0.37/0.65 (define @t421 () (= tptp.e2 @t49)) % 0.37/0.65 (define @t422 () (= tptp.e3 @t49)) % 0.37/0.65 (define @t423 () (not @t422)) % 0.37/0.65 (define @t424 () (not @t421)) % 0.37/0.65 (define @t425 () (= @t73 @t85)) % 0.37/0.65 (define @t426 () (not @t425)) % 0.37/0.65 (define @t427 () (not @t426)) % 0.37/0.65 (define @t428 () (and @t185 @t184 @t181 @t364 @t426 @t421 @t344)) % 0.37/0.65 (define @t429 () (@list true false false false false false false)) % 0.37/0.65 (define @t430 () (= tptp.e3 @t79)) % 0.37/0.65 (define @t431 () (= tptp.e3 @t109)) % 0.37/0.65 (define @t432 () (= tptp.e3 @t139)) % 0.37/0.65 (define @t433 () (not @t432)) % 0.37/0.65 (define @t434 () (= @t55 @t115)) % 0.37/0.65 (define @t435 () (= tptp.e1 @t158)) % 0.37/0.65 (define @t436 () (not @t435)) % 0.37/0.65 (define @t437 () (not @t434)) % 0.37/0.65 (define @t438 () (not @t437)) % 0.37/0.65 (define @t439 () (= tptp.e1 @t139)) % 0.37/0.65 (define @t440 () (and @t311 @t354 @t435 @t437 @t344)) % 0.37/0.65 (define @t441 () (= tptp.e3 @t19)) % 0.37/0.65 (define @t442 () (= tptp.e0 @t19)) % 0.37/0.65 (define @t443 () (not @t442)) % 0.37/0.65 (define @t444 () (not @t441)) % 0.37/0.65 (define @t445 () (and @t176 @t441)) % 0.37/0.65 (define @t446 () (= tptp.e0 @t49)) % 0.37/0.65 (define @t447 () (not @t446)) % 0.37/0.65 (define @t448 () (and @t178 @t421)) % 0.37/0.65 (define @t449 () (= tptp.e0 @t139)) % 0.37/0.65 (define @t450 () (not @t449)) % 0.37/0.65 (define @t451 () (and @t180 @t435 @t344)) % 0.37/0.65 (define @t452 () (= tptp.e0 @t79)) % 0.37/0.65 (define @t453 () (= tptp.e2 @t91)) % 0.37/0.65 (define @t454 () (= tptp.e2 @t103)) % 0.37/0.65 (define @t455 () (not @t454)) % 0.37/0.65 (define @t456 () (and @t187 @t185 @t344 @t339)) % 0.37/0.65 (define @t457 () (= tptp.e2 @t109)) % 0.37/0.65 (define @t458 () (= tptp.e2 @t115)) % 0.37/0.65 (define @t459 () (not @t458)) % 0.37/0.65 (define @t460 () (and @t364 @t366 @t344)) % 0.37/0.65 (define @t461 () (= tptp.e2 @t97)) % 0.37/0.65 (define @t462 () (= tptp.e4 @t251)) % 0.37/0.65 (define @t463 () (not @t462)) % 0.37/0.65 (define @t464 () (not @t461)) % 0.37/0.65 (define @t465 () (= @t25 @t85)) % 0.37/0.65 (define @t466 () (not @t465)) % 0.37/0.65 (define @t467 () (and @t185 @t181 @t299 @t364 @t466 @t461 @t441 @t344)) % 0.37/0.65 (define @t468 () (and (not (= tptp.e1 @t252)) @t462)) % 0.37/0.65 (define @t469 () (not @t468)) % 0.37/0.65 (define @t470 () (@list true)) % 0.37/0.65 (define @t471 () (= tptp.e3 @t255)) % 0.37/0.65 (define @t472 () (not @t471)) % 0.37/0.65 (define @t473 () (= @t73 @t103)) % 0.37/0.65 (define @t474 () (not @t473)) % 0.37/0.65 (define @t475 () (and @t185 @t184 @t474 @t421)) % 0.37/0.65 (define @t476 () (and (not (= tptp.e1 @t256)) @t471)) % 0.37/0.65 (define @t477 () (not @t476)) % 0.37/0.65 (define @t478 () (= tptp.e3 @t97)) % 0.37/0.65 (define @t479 () (not @t478)) % 0.37/0.65 (define @t480 () (and @t185 @t184 @t181 @t364 @t426 @t461 @t344)) % 0.37/0.65 (define @t481 () (= tptp.e3 @t103)) % 0.37/0.65 (define @t482 () (= tptp.e3 @t115)) % 0.37/0.65 (define @t483 () (not @t482)) % 0.37/0.65 (define @t484 () (and @t311 @t437 @t344)) % 0.37/0.65 (define @t485 () (= tptp.e3 @t91)) % 0.37/0.65 (define @t486 () (= tptp.e1 @t263)) % 0.37/0.65 (define @t487 () (not @t486)) % 0.37/0.65 (define @t488 () (not @t485)) % 0.37/0.65 (define @t489 () (and @t172 @t181 @t485)) % 0.37/0.65 (define @t490 () (and @t487 @t486)) % 0.37/0.65 (define @t491 () (not @t490)) % 0.37/0.65 (define @t492 () (= tptp.e1 @t268)) % 0.37/0.65 (define @t493 () (and @t435 @t344)) % 0.37/0.65 (define @t494 () (not @t492)) % 0.37/0.65 (define @t495 () (and @t494 (= tptp.e0 @t267))) % 0.37/0.65 (define @t496 () (not @t495)) % 0.37/0.65 (define @t497 () (@list false)) % 0.37/0.65 (define @t498 () (= tptp.e2 @t259)) % 0.37/0.65 (define @t499 () (and (not (= tptp.e1 @t260)) @t498)) % 0.37/0.65 (define @t500 () (not @t498)) % 0.37/0.65 (define @t501 () (not @t452)) % 0.37/0.65 (define @t502 () (and @t364 @t366 @t452 @t344)) % 0.37/0.65 (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))) % 0.37/0.65 (assume @p2 (and (= (tptp.op tptp.unit tptp.e0) tptp.e0) (= @t159 tptp.e0) (= @t158 tptp.e1) (= @t157 tptp.e1) (= @t156 tptp.e2) (= @t155 tptp.e2) (= (tptp.op tptp.unit tptp.e3) tptp.e3) (= @t154 tptp.e3) (= @t153 tptp.e4) (= @t152 tptp.e4) @t151)) % 0.37/0.65 (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) @t166 (or @t119 @t113 @t107 @t101 @t95) (or @t143 @t113 @t83 @t53 @t23) @t165 (or @t142 @t112 @t82 @t52 @t22) @t164 @t163 (or @t116 @t110 @t104 @t98 @t92) (or @t140 @t110 @t80 @t50 @t20) (or @t90 @t84 @t78 @t72 @t66) (or @t138 @t108 @t78 @t48 @t18) (or @t89 @t83 @t77 @t71 @t65) @t162 (or @t88 @t82 @t76 @t70 @t64) (or @t136 @t106 @t76 @t46 @t16) (or @t87 @t81 @t75 @t69 @t63) (or @t135 @t105 @t75 @t45 @t15) (or @t86 @t80 @t74 @t68 @t62) @t161 (or @t60 @t54 @t48 @t42 @t36) (or @t132 @t102 @t72 @t42 @t12) (or @t59 @t53 @t47 @t41 @t35) (or @t131 @t101 @t71 @t41 @t11) @t160 (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) (or @t125 @t95 @t65 @t35 @t5) (or @t28 @t22 @t16 @t10 @t4) (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))) % 0.37/0.65 (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)))) % 0.37/0.65 (assume @p5 (and @t180 @t178 @t176 (not (= tptp.e0 tptp.e4)) @t174 @t172 (not (= tptp.e1 tptp.e4)) @t170 @t168 (not (= tptp.e3 tptp.e4)))) % 0.37/0.65 (assume @p6 (and @t187 @t185 @t184 @t181)) % 0.37/0.65 (assume @p7 (not (not @t298))) % 0.37/0.65 (assume @p8 true) % 0.37/0.65 (step @p9 :rule and_elim :premises (@p2) :args (5)) % 0.37/0.65 (step @p10 :rule symm :premises (@p9)) % 0.37/0.65 (step @p11 :rule and_elim :premises (@p4) :args (4)) % 0.37/0.65 (step @p12 :rule symm :premises (@p11)) % 0.37/0.65 (step @p13 :rule and_elim :premises (@p6) :args (1)) % 0.37/0.65 (step @p14 :rule and_elim :premises (@p2) :args (9)) % 0.37/0.65 (step @p15 :rule symm :premises (@p14)) % 0.37/0.65 (step @p16 :rule and_elim :premises (@p6) :args (3)) % 0.37/0.65 (step @p17 :rule and_elim :premises (@p5) :args (8)) % 0.37/0.65 (assume-push @p1535 @t185) % 0.37/0.65 (assume-push @p1536 @t181) % 0.37/0.65 (assume-push @p1537 @t299) % 0.37/0.65 (assume-push @p1538 @t300) % 0.37/0.65 (assume-push @p1539 @t299) % 0.37/0.65 (assume-push @p1540 @t300) % 0.37/0.65 (assume-push @p1541 @t181) % 0.37/0.65 (assume-push @p1542 @t185) % 0.37/0.65 (step @p26 :rule refl :args (tptp.e4)) % 0.37/0.65 (step @p27 :rule cong :premises (@p26 @p1538) :args (@t1)) % 0.37/0.65 (step @p28 :rule symm :premises (@p16)) % 0.37/0.65 (step @p29 :rule cong :premises (@p28 @p28) :args (@t182)) % 0.37/0.65 (step @p30 :rule trans :premises (@p13 @p29 @p27 @p14)) % 0.37/0.65 (step-pop @p1543 :rule scope :premises (@p30)) % 0.37/0.65 (step-pop @p1544 :rule scope :premises (@p1543)) % 0.37/0.65 (step-pop @p1545 :rule scope :premises (@p1544)) % 0.37/0.65 (step-pop @p1546 :rule scope :premises (@p1545)) % 0.37/0.65 (step @p31 :rule process_scope :premises (@p1546) :args (@t167)) % 0.37/0.65 (step @p36 :rule and_intro :premises (@p15 @p1538 @p16 @p13)) % 0.37/0.65 (step @p37 :rule modus_ponens :premises (@p36 @p31)) % 0.37/0.65 (step-pop @p1547 :rule scope :premises (@p37)) % 0.37/0.65 (step-pop @p1548 :rule scope :premises (@p1547)) % 0.37/0.65 (step-pop @p1549 :rule scope :premises (@p1548)) % 0.37/0.65 (step-pop @p1550 :rule scope :premises (@p1549)) % 0.37/0.65 (step @p38 :rule process_scope :premises (@p1550) :args (@t167)) % 0.37/0.65 (step @p43 :rule implies_elim :premises (@p38)) % 0.37/0.65 (step @p44 :rule cnf_and_neg :args (@t301)) % 0.37/0.65 (step @p45 :rule resolution :premises (@p44 @p43) :args (true @t301)) % 0.37/0.65 (step @p46 :rule reordering :premises (@p45) :args ((or @t167 @t305 @t304 @t303 @t302))) % 0.37/0.65 (step @p47 :rule chain_m_resolution :premises (@p46 @p17 @p16 @p15 @p13) :args (@t303 @t306 (@list @t167 @t181 @t299 @t185))) % 0.37/0.65 (step @p48 :rule and_elim :premises (@p2) :args (7)) % 0.37/0.65 (step @p49 :rule symm :premises (@p48)) % 0.37/0.65 (step @p50 :rule and_elim :premises (@p5) :args (2)) % 0.37/0.65 (step @p51 :rule refl :args (@t308)) % 0.37/0.65 (step @p52 :rule refl :args (@t310)) % 0.37/0.65 (step @p53 :rule refl :args (@t312)) % 0.37/0.65 (step @p54 :rule bool-double-not-elim :args (@t175)) % 0.37/0.65 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52 @p51) :args ((or @t313 @t312 @t310 @t308))) % 0.37/0.65 (assume-push @p1551 @t176) % 0.37/0.65 (assume-push @p1552 @t311) % 0.37/0.65 (assume-push @p1553 @t309) % 0.37/0.65 (assume-push @p1554 @t176) % 0.37/0.65 (assume-push @p1555 @t314) % 0.37/0.65 (step @p61 :rule false_intro :premises (@p50)) % 0.37/0.65 (step @p62 :rule symm :premises (@p1555)) % 0.37/0.65 (step @p63 :rule refl :args (tptp.e0)) % 0.37/0.65 (step @p64 :rule cong :premises (@p63 @p62) :args (@t307)) % 0.37/0.65 (step @p65 :rule trans :premises (@p64 @p61)) % 0.37/0.65 (step @p66 :rule false_elim :premises (@p65)) % 0.37/0.65 (step-pop @p1556 :rule scope :premises (@p66)) % 0.37/0.65 (step-pop @p1557 :rule scope :premises (@p1556)) % 0.37/0.65 (step @p67 :rule process_scope :premises (@p1557) :args (@t308)) % 0.37/0.65 (assume-push @p1558 @t309) % 0.37/0.65 (assume-push @p1559 @t311) % 0.37/0.65 (step @p72 :rule symm :premises (@p1553)) % 0.37/0.65 (step @p73 :rule refl :args (tptp.e3)) % 0.37/0.65 (step @p74 :rule cong :premises (@p73 @p72) :args (@t154)) % 0.37/0.65 (step @p75 :rule trans :premises (@p49 @p74)) % 0.37/0.65 (step-pop @p1560 :rule scope :premises (@p75)) % 0.37/0.65 (step-pop @p1561 :rule scope :premises (@p1560)) % 0.37/0.65 (step @p76 :rule process_scope :premises (@p1561) :args (@t314)) % 0.37/0.65 (step @p79 :rule and_intro :premises (@p1553 @p49)) % 0.37/0.65 (step @p80 :rule modus_ponens :premises (@p79 @p76)) % 0.37/0.65 (step @p81 :rule and_intro :premises (@p50 @p80)) % 0.37/0.65 (step @p82 :rule modus_ponens :premises (@p81 @p67)) % 0.37/0.65 (step-pop @p1562 :rule scope :premises (@p82)) % 0.37/0.65 (step-pop @p1563 :rule scope :premises (@p1562)) % 0.37/0.65 (step-pop @p1564 :rule scope :premises (@p1563)) % 0.37/0.65 (step @p83 :rule process_scope :premises (@p1564) :args (@t308)) % 0.37/0.65 (step @p87 :rule implies_elim :premises (@p83)) % 0.37/0.65 (step @p88 :rule cnf_and_neg :args (@t315)) % 0.37/0.65 (step @p89 :rule resolution :premises (@p88 @p87) :args (true @t315)) % 0.37/0.65 (step @p90 :rule eq_resolve :premises (@p89 @p55)) % 0.37/0.65 (step @p91 :rule reordering :premises (@p90) :args ((or @t175 @t308 @t312 @t310))) % 0.37/0.65 (step @p92 :rule and_elim :premises (@p2) :args (1)) % 0.37/0.65 (step @p93 :rule symm :premises (@p92)) % 0.37/0.65 (step @p94 :rule and_elim :premises (@p4) :args (52)) % 0.37/0.65 (step @p95 :rule symm :premises (@p94)) % 0.37/0.65 (step @p96 :rule refl :args (@t317)) % 0.37/0.65 (step @p97 :rule bool-double-not-elim :args (@t318)) % 0.37/0.65 (step @p98 :rule refl :args (@t320)) % 0.37/0.65 (step @p99 :rule nary_cong :premises (@p98 @p97 @p52 @p96) :args ((or @t320 (not @t321) @t310 @t317))) % 0.37/0.65 (assume-push @p1565 @t319) % 0.37/0.65 (assume-push @p1566 @t321) % 0.37/0.65 (assume-push @p1567 @t309) % 0.37/0.65 (assume-push @p1568 @t321) % 0.37/0.65 (assume-push @p1569 @t322) % 0.37/0.65 (step @p105 :rule false_intro :premises (@p95)) % 0.37/0.65 (step @p106 :rule refl :args (@t145)) % 0.37/0.65 (step @p107 :rule cong :premises (@p1569 @p106) :args (@t316)) % 0.37/0.65 (step @p108 :rule trans :premises (@p107 @p105)) % 0.37/0.65 (step @p109 :rule false_elim :premises (@p108)) % 0.37/0.65 (step-pop @p1570 :rule scope :premises (@p109)) % 0.37/0.65 (step-pop @p1571 :rule scope :premises (@p1570)) % 0.37/0.65 (step @p110 :rule process_scope :premises (@p1571) :args (@t317)) % 0.37/0.65 (assume-push @p1572 @t309) % 0.37/0.65 (assume-push @p1573 @t319) % 0.37/0.65 (step @p115 :rule symm :premises (@p1567)) % 0.37/0.65 (step @p63 :rule refl :args (tptp.e0)) % 0.37/0.65 (step @p116 :rule cong :premises (@p63 @p115) :args (@t159)) % 0.37/0.65 (step @p117 :rule trans :premises (@p93 @p116)) % 0.37/0.65 (step-pop @p1574 :rule scope :premises (@p117)) % 0.37/0.65 (step-pop @p1575 :rule scope :premises (@p1574)) % 0.37/0.65 (step @p118 :rule process_scope :premises (@p1575) :args (@t322)) % 0.37/0.65 (step @p121 :rule and_intro :premises (@p1567 @p93)) % 0.37/0.65 (step @p122 :rule modus_ponens :premises (@p121 @p118)) % 0.37/0.65 (step @p123 :rule and_intro :premises (@p95 @p122)) % 0.37/0.65 (step @p124 :rule modus_ponens :premises (@p123 @p110)) % 0.37/0.65 (step-pop @p1576 :rule scope :premises (@p124)) % 0.37/0.65 (step-pop @p1577 :rule scope :premises (@p1576)) % 0.37/0.65 (step-pop @p1578 :rule scope :premises (@p1577)) % 0.37/0.65 (step @p125 :rule process_scope :premises (@p1578) :args (@t317)) % 0.37/0.65 (step @p129 :rule implies_elim :premises (@p125)) % 0.37/0.65 (step @p130 :rule cnf_and_neg :args (@t323)) % 0.37/0.65 (step @p131 :rule resolution :premises (@p130 @p129) :args (true @t323)) % 0.37/0.65 (step @p132 :rule eq_resolve :premises (@p131 @p99)) % 0.37/0.65 (step @p133 :rule reordering :premises (@p132) :args ((or @t318 @t317 @t320 @t310))) % 0.37/0.65 (step @p134 :rule and_elim :premises (@p5) :args (1)) % 0.37/0.65 (step @p135 :rule refl :args (@t325)) % 0.37/0.65 (step @p136 :rule refl :args (@t305)) % 0.37/0.65 (step @p137 :rule refl :args (@t302)) % 0.37/0.65 (step @p138 :rule bool-double-not-elim :args (@t177)) % 0.37/0.65 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136 @p135) :args ((or @t326 @t302 @t305 @t325))) % 0.37/0.65 (assume-push @p1579 @t178) % 0.37/0.65 (assume-push @p1580 @t185) % 0.37/0.65 (assume-push @p1581 @t181) % 0.37/0.65 (assume-push @p1582 @t178) % 0.37/0.65 (assume-push @p1583 @t327) % 0.37/0.65 (step @p145 :rule false_intro :premises (@p134)) % 0.37/0.65 (step @p28 :rule symm :premises (@p16)) % 0.37/0.65 (step @p29 :rule cong :premises (@p28 @p28) :args (@t182)) % 0.37/0.65 (step @p146 :rule trans :premises (@p13 @p29)) % 0.37/0.65 (step @p147 :rule symm :premises (@p146)) % 0.37/0.65 (step @p63 :rule refl :args (tptp.e0)) % 0.37/0.65 (step @p148 :rule cong :premises (@p63 @p147) :args (@t324)) % 0.37/0.65 (step @p149 :rule trans :premises (@p148 @p145)) % 0.37/0.65 (step @p150 :rule false_elim :premises (@p149)) % 0.37/0.65 (step-pop @p1584 :rule scope :premises (@p150)) % 0.37/0.65 (step-pop @p1585 :rule scope :premises (@p1584)) % 0.37/0.65 (step @p151 :rule process_scope :premises (@p1585) :args (@t325)) % 0.37/0.65 (step @p28 :rule symm :premises (@p16)) % 0.37/0.65 (step @p29 :rule cong :premises (@p28 @p28) :args (@t182)) % 0.37/0.65 (step @p154 :rule trans :premises (@p13 @p29)) % 0.37/0.65 (step @p155 :rule and_intro :premises (@p134 @p154)) % 0.37/0.65 (step @p156 :rule modus_ponens :premises (@p155 @p151)) % 0.37/0.65 (step-pop @p1586 :rule scope :premises (@p156)) % 0.37/0.65 (step-pop @p1587 :rule scope :premises (@p1586)) % 0.37/0.65 (step-pop @p1588 :rule scope :premises (@p1587)) % 0.37/0.65 (step @p157 :rule process_scope :premises (@p1588) :args (@t325)) % 0.37/0.65 (step @p161 :rule implies_elim :premises (@p157)) % 0.37/0.65 (step @p162 :rule cnf_and_neg :args (@t328)) % 0.37/0.65 (step @p163 :rule resolution :premises (@p162 @p161) :args (true @t328)) % 0.37/0.65 (step @p164 :rule eq_resolve :premises (@p163 @p139)) % 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@p1335 @p1295) :args (@t499 @t345 (@list @t495 @t490 @t476 @t468))) % 0.37/0.65 (step @p1495 :rule cnf_and_pos :args (@t499 1)) % 0.37/0.65 (step @p1496 :rule reordering :premises (@p1495) :args ((or @t498 (not @t499)))) % 0.37/0.65 (step @p1497 :rule chain_m_resolution :premises (@p1496 @p1494) :args (@t498 @t497 (@list @t499))) % 0.37/0.65 (step @p1498 :rule refl :args (@t500)) % 0.37/0.65 (step @p1499 :rule refl :args (@t501)) % 0.37/0.65 (step @p1500 :rule nary_cong :premises (@p476 @p475 @p1499 @p433 @p1498) :args ((or @t365 @t367 @t501 @t352 @t500))) % 0.37/0.65 (assume-push @p2029 @t364) % 0.37/0.65 (assume-push @p2030 @t366) % 0.37/0.65 (assume-push @p2031 @t452) % 0.37/0.65 (assume-push @p2032 @t344) % 0.37/0.65 (assume-push @p2033 @t344) % 0.37/0.65 (assume-push @p2034 @t366) % 0.37/0.65 (assume-push @p2035 @t452) % 0.37/0.65 (assume-push @p2036 @t364) % 0.37/0.65 (step @p487 :rule false_intro :premises (@p12)) % 0.37/0.65 (step @p1509 :rule symm :premises (@p2031)) % 0.37/0.65 (step @p1510 :rule cong :premises (@p415 @p1509) :args (@t259)) % 0.37/0.65 (step @p1511 :rule symm :premises (@p2032)) % 0.37/0.65 (step @p1512 :rule cong :premises (@p508 @p1511) :args (@t155)) % 0.37/0.65 (step @p1513 :rule trans :premises (@p10 @p1512)) % 0.37/0.65 (step @p1514 :rule cong :premises (@p1513 @p1510) :args (@t498)) % 0.37/0.65 (step @p1515 :rule trans :premises (@p1514 @p487)) % 0.37/0.65 (step @p1516 :rule false_elim :premises (@p1515)) % 0.37/0.65 (step-pop @p2037 :rule scope :premises (@p1516)) % 0.37/0.65 (step-pop @p2038 :rule scope :premises (@p2037)) % 0.37/0.65 (step-pop @p2039 :rule scope :premises (@p2038)) % 0.37/0.65 (step-pop @p2040 :rule scope :premises (@p2039)) % 0.37/0.65 (step @p1517 :rule process_scope :premises (@p2040) :args (@t500)) % 0.37/0.65 (step @p1522 :rule and_intro :premises (@p2032 @p12 @p2031 @p10)) % 0.37/0.65 (step @p1523 :rule modus_ponens :premises (@p1522 @p1517)) % 0.37/0.65 (step-pop @p2041 :rule scope :premises (@p1523)) % 0.37/0.65 (step-pop @p2042 :rule scope :premises (@p2041)) % 0.37/0.65 (step-pop @p2043 :rule scope :premises (@p2042)) % 0.37/0.65 (step-pop @p2044 :rule scope :premises (@p2043)) % 0.37/0.65 (step @p1524 :rule process_scope :premises (@p2044) :args (@t500)) % 0.37/0.65 (step @p1529 :rule implies_elim :premises (@p1524)) % 0.37/0.65 (step @p1530 :rule cnf_and_neg :args (@t502)) % 0.37/0.65 (step @p1531 :rule resolution :premises (@p1530 @p1529) :args (true @t502)) % 0.37/0.65 (step @p1532 :rule eq_resolve :premises (@p1531 @p1500)) % 0.37/0.65 (step @p1533 :rule reordering :premises (@p1532) :args ((or @t363 @t501 @t365 @t352 @t500))) % 0.37/0.65 (step @p1534 false :rule chain_m_resolution :premises (@p1533 @p1497 @p1143 @p402 @p12 @p10) :args (false (@list false false false true false) (@list @t498 @t452 @t344 @t363 @t364))) % 0.37/0.65 ) % 0.37/0.65 % SZS output end Proof % 0.37/0.65 % cvc5 exiting %------------------------------------------------------------------------------