%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG172+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 : n007.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 08:05:25 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG172+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 % 0.15/0.34 % Computer : n007.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 01:39:56 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.e0 $$unsorted) % 0.37/0.61 (declare-const tptp.e1 $$unsorted) % 0.37/0.61 (declare-const tptp.e2 $$unsorted) % 0.37/0.61 (declare-const tptp.e3 $$unsorted) % 0.37/0.61 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.e4 $$unsorted) % 0.37/0.61 (define @t1 () (tptp.op tptp.e4 tptp.e4)) % 0.37/0.61 (define @t2 () (= @t1 tptp.e4)) % 0.37/0.61 (define @t3 () (= @t1 tptp.e3)) % 0.37/0.61 (define @t4 () (= @t1 tptp.e2)) % 0.37/0.61 (define @t5 () (= @t1 tptp.e1)) % 0.37/0.61 (define @t6 () (= @t1 tptp.e0)) % 0.37/0.61 (define @t7 () (tptp.op tptp.e4 tptp.e3)) % 0.37/0.61 (define @t8 () (= @t7 tptp.e4)) % 0.37/0.61 (define @t9 () (= @t7 tptp.e3)) % 0.37/0.61 (define @t10 () (= @t7 tptp.e2)) % 0.37/0.61 (define @t11 () (= @t7 tptp.e1)) % 0.37/0.61 (define @t12 () (= @t7 tptp.e0)) % 0.37/0.61 (define @t13 () (tptp.op tptp.e4 tptp.e2)) % 0.37/0.61 (define @t14 () (= @t13 tptp.e4)) % 0.37/0.61 (define @t15 () (= @t13 tptp.e3)) % 0.37/0.61 (define @t16 () (= @t13 tptp.e2)) % 0.37/0.61 (define @t17 () (= @t13 tptp.e1)) % 0.37/0.61 (define @t18 () (= @t13 tptp.e0)) % 0.37/0.61 (define @t19 () (tptp.op tptp.e4 tptp.e1)) % 0.37/0.61 (define @t20 () (= @t19 tptp.e4)) % 0.37/0.61 (define @t21 () (= @t19 tptp.e3)) % 0.37/0.61 (define @t22 () (= @t19 tptp.e2)) % 0.37/0.61 (define @t23 () (= @t19 tptp.e1)) % 0.37/0.61 (define @t24 () (= @t19 tptp.e0)) % 0.37/0.61 (define @t25 () (tptp.op tptp.e4 tptp.e0)) % 0.37/0.61 (define @t26 () (= @t25 tptp.e4)) % 0.37/0.61 (define @t27 () (= @t25 tptp.e3)) % 0.37/0.61 (define @t28 () (= @t25 tptp.e2)) % 0.37/0.61 (define @t29 () (= @t25 tptp.e1)) % 0.37/0.61 (define @t30 () (= @t25 tptp.e0)) % 0.37/0.61 (define @t31 () (tptp.op tptp.e3 tptp.e4)) % 0.37/0.61 (define @t32 () (= @t31 tptp.e4)) % 0.37/0.61 (define @t33 () (= @t31 tptp.e3)) % 0.37/0.61 (define @t34 () (= @t31 tptp.e2)) % 0.37/0.61 (define @t35 () (= @t31 tptp.e1)) % 0.37/0.61 (define @t36 () (= @t31 tptp.e0)) % 0.37/0.61 (define @t37 () (tptp.op tptp.e3 tptp.e3)) % 0.37/0.61 (define @t38 () (= @t37 tptp.e4)) % 0.37/0.61 (define @t39 () (= @t37 tptp.e3)) % 0.37/0.61 (define @t40 () (= @t37 tptp.e2)) % 0.37/0.61 (define @t41 () (= @t37 tptp.e1)) % 0.37/0.61 (define @t42 () (= @t37 tptp.e0)) % 0.37/0.61 (define @t43 () (tptp.op tptp.e3 tptp.e2)) % 0.37/0.61 (define @t44 () (= @t43 tptp.e4)) % 0.37/0.61 (define @t45 () (= @t43 tptp.e3)) % 0.37/0.61 (define @t46 () (= @t43 tptp.e2)) % 0.37/0.61 (define @t47 () (= @t43 tptp.e1)) % 0.37/0.61 (define @t48 () (= @t43 tptp.e0)) % 0.37/0.61 (define @t49 () (tptp.op tptp.e3 tptp.e1)) % 0.37/0.61 (define @t50 () (= @t49 tptp.e4)) % 0.37/0.61 (define @t51 () (= @t49 tptp.e3)) % 0.37/0.61 (define @t52 () (= @t49 tptp.e2)) % 0.37/0.61 (define @t53 () (= @t49 tptp.e1)) % 0.37/0.61 (define @t54 () (= @t49 tptp.e0)) % 0.37/0.61 (define @t55 () (tptp.op tptp.e3 tptp.e0)) % 0.37/0.61 (define @t56 () (= @t55 tptp.e4)) % 0.37/0.61 (define @t57 () (= @t55 tptp.e3)) % 0.37/0.61 (define @t58 () (= @t55 tptp.e2)) % 0.37/0.61 (define @t59 () (= @t55 tptp.e1)) % 0.37/0.61 (define @t60 () (= @t55 tptp.e0)) % 0.37/0.61 (define @t61 () (tptp.op tptp.e2 tptp.e4)) % 0.37/0.61 (define @t62 () (= @t61 tptp.e4)) % 0.37/0.61 (define @t63 () (= @t61 tptp.e3)) % 0.37/0.61 (define @t64 () (= @t61 tptp.e2)) % 0.37/0.61 (define @t65 () (= @t61 tptp.e1)) % 0.37/0.61 (define @t66 () (= @t61 tptp.e0)) % 0.37/0.61 (define @t67 () (tptp.op tptp.e2 tptp.e3)) % 0.37/0.61 (define @t68 () (= @t67 tptp.e4)) % 0.37/0.61 (define @t69 () (= @t67 tptp.e3)) % 0.37/0.61 (define @t70 () (= @t67 tptp.e2)) % 0.37/0.61 (define @t71 () (= @t67 tptp.e1)) % 0.37/0.61 (define @t72 () (= @t67 tptp.e0)) % 0.37/0.61 (define @t73 () (tptp.op tptp.e2 tptp.e2)) % 0.37/0.61 (define @t74 () (= @t73 tptp.e4)) % 0.37/0.61 (define @t75 () (= @t73 tptp.e3)) % 0.37/0.61 (define @t76 () (= @t73 tptp.e2)) % 0.37/0.61 (define @t77 () (= @t73 tptp.e1)) % 0.37/0.61 (define @t78 () (= @t73 tptp.e0)) % 0.37/0.61 (define @t79 () (tptp.op tptp.e2 tptp.e1)) % 0.37/0.61 (define @t80 () (= @t79 tptp.e4)) % 0.37/0.61 (define @t81 () (= @t79 tptp.e3)) % 0.37/0.61 (define @t82 () (= @t79 tptp.e2)) % 0.37/0.61 (define @t83 () (= @t79 tptp.e1)) % 0.37/0.61 (define @t84 () (= @t79 tptp.e0)) % 0.37/0.61 (define @t85 () (tptp.op tptp.e2 tptp.e0)) % 0.37/0.61 (define @t86 () (= @t85 tptp.e4)) % 0.37/0.61 (define @t87 () (= @t85 tptp.e3)) % 0.37/0.61 (define @t88 () (= @t85 tptp.e2)) % 0.37/0.61 (define @t89 () (= @t85 tptp.e1)) % 0.37/0.61 (define @t90 () (= @t85 tptp.e0)) % 0.37/0.61 (define @t91 () (tptp.op tptp.e1 tptp.e4)) % 0.37/0.61 (define @t92 () (= @t91 tptp.e4)) % 0.37/0.61 (define @t93 () (= @t91 tptp.e3)) % 0.37/0.61 (define @t94 () (= @t91 tptp.e2)) % 0.37/0.61 (define @t95 () (= @t91 tptp.e1)) % 0.37/0.61 (define @t96 () (= @t91 tptp.e0)) % 0.37/0.61 (define @t97 () (tptp.op tptp.e1 tptp.e3)) % 0.37/0.61 (define @t98 () (= @t97 tptp.e4)) % 0.37/0.61 (define @t99 () (= @t97 tptp.e3)) % 0.37/0.61 (define @t100 () (= @t97 tptp.e2)) % 0.37/0.61 (define @t101 () (= @t97 tptp.e1)) % 0.37/0.61 (define @t102 () (= @t97 tptp.e0)) % 0.37/0.61 (define @t103 () (tptp.op tptp.e1 tptp.e2)) % 0.37/0.61 (define @t104 () (= @t103 tptp.e4)) % 0.37/0.61 (define @t105 () (= @t103 tptp.e3)) % 0.37/0.61 (define @t106 () (= @t103 tptp.e2)) % 0.37/0.61 (define @t107 () (= @t103 tptp.e1)) % 0.37/0.61 (define @t108 () (= @t103 tptp.e0)) % 0.37/0.61 (define @t109 () (tptp.op tptp.e1 tptp.e1)) % 0.37/0.61 (define @t110 () (= @t109 tptp.e4)) % 0.37/0.61 (define @t111 () (= @t109 tptp.e3)) % 0.37/0.61 (define @t112 () (= @t109 tptp.e2)) % 0.37/0.61 (define @t113 () (= @t109 tptp.e1)) % 0.37/0.61 (define @t114 () (= @t109 tptp.e0)) % 0.37/0.61 (define @t115 () (tptp.op tptp.e1 tptp.e0)) % 0.37/0.61 (define @t116 () (= @t115 tptp.e4)) % 0.37/0.61 (define @t117 () (= @t115 tptp.e3)) % 0.37/0.61 (define @t118 () (= @t115 tptp.e2)) % 0.37/0.61 (define @t119 () (= @t115 tptp.e1)) % 0.37/0.61 (define @t120 () (= @t115 tptp.e0)) % 0.37/0.61 (define @t121 () (tptp.op tptp.e0 tptp.e4)) % 0.37/0.61 (define @t122 () (= @t121 tptp.e4)) % 0.37/0.61 (define @t123 () (= @t121 tptp.e3)) % 0.37/0.61 (define @t124 () (= @t121 tptp.e2)) % 0.37/0.61 (define @t125 () (= @t121 tptp.e1)) % 0.37/0.61 (define @t126 () (= @t121 tptp.e0)) % 0.37/0.61 (define @t127 () (tptp.op tptp.e0 tptp.e3)) % 0.37/0.61 (define @t128 () (= @t127 tptp.e4)) % 0.37/0.61 (define @t129 () (= @t127 tptp.e3)) % 0.37/0.61 (define @t130 () (= @t127 tptp.e2)) % 0.37/0.61 (define @t131 () (= @t127 tptp.e1)) % 0.37/0.61 (define @t132 () (= @t127 tptp.e0)) % 0.37/0.61 (define @t133 () (tptp.op tptp.e0 tptp.e2)) % 0.37/0.61 (define @t134 () (= @t133 tptp.e4)) % 0.37/0.61 (define @t135 () (= @t133 tptp.e3)) % 0.37/0.61 (define @t136 () (= @t133 tptp.e2)) % 0.37/0.61 (define @t137 () (= @t133 tptp.e1)) % 0.37/0.61 (define @t138 () (= @t133 tptp.e0)) % 0.37/0.61 (define @t139 () (tptp.op tptp.e0 tptp.e1)) % 0.37/0.61 (define @t140 () (= @t139 tptp.e4)) % 0.37/0.61 (define @t141 () (= @t139 tptp.e3)) % 0.37/0.61 (define @t142 () (= @t139 tptp.e2)) % 0.37/0.61 (define @t143 () (= @t139 tptp.e1)) % 0.37/0.61 (define @t144 () (= @t139 tptp.e0)) % 0.37/0.61 (define @t145 () (tptp.op tptp.e0 tptp.e0)) % 0.37/0.61 (define @t146 () (= @t145 tptp.e4)) % 0.37/0.61 (define @t147 () (= @t145 tptp.e3)) % 0.37/0.61 (define @t148 () (= @t145 tptp.e2)) % 0.37/0.61 (define @t149 () (= @t145 tptp.e1)) % 0.37/0.61 (define @t150 () (= @t145 tptp.e0)) % 0.37/0.61 (define @t151 () (tptp.op @t1 @t1)) % 0.37/0.61 (define @t152 () (tptp.op tptp.e4 @t1)) % 0.37/0.61 (define @t153 () (= tptp.e1 @t1)) % 0.37/0.61 (define @t154 () (= tptp.e0 @t152)) % 0.37/0.61 (define @t155 () (tptp.op @t1 tptp.e4)) % 0.37/0.61 (define @t156 () (tptp.op @t7 tptp.e3)) % 0.37/0.61 (define @t157 () (tptp.op @t13 tptp.e2)) % 0.37/0.61 (define @t158 () (tptp.op @t19 tptp.e1)) % 0.37/0.61 (define @t159 () (tptp.op @t25 tptp.e0)) % 0.37/0.62 (define @t160 () (tptp.op @t31 tptp.e4)) % 0.37/0.62 (define @t161 () (tptp.op @t37 tptp.e3)) % 0.37/0.62 (define @t162 () (tptp.op @t43 tptp.e2)) % 0.37/0.62 (define @t163 () (tptp.op @t49 tptp.e1)) % 0.37/0.62 (define @t164 () (tptp.op @t55 tptp.e0)) % 0.37/0.62 (define @t165 () (tptp.op @t61 tptp.e4)) % 0.37/0.62 (define @t166 () (tptp.op @t67 tptp.e3)) % 0.37/0.62 (define @t167 () (tptp.op @t73 tptp.e2)) % 0.37/0.62 (define @t168 () (tptp.op @t79 tptp.e1)) % 0.37/0.62 (define @t169 () (tptp.op @t85 tptp.e0)) % 0.37/0.62 (define @t170 () (tptp.op @t91 tptp.e4)) % 0.37/0.62 (define @t171 () (tptp.op @t97 tptp.e3)) % 0.37/0.62 (define @t172 () (tptp.op @t103 tptp.e2)) % 0.37/0.62 (define @t173 () (tptp.op @t109 tptp.e1)) % 0.37/0.62 (define @t174 () (tptp.op @t115 tptp.e0)) % 0.37/0.62 (define @t175 () (tptp.op @t121 tptp.e4)) % 0.37/0.62 (define @t176 () (tptp.op @t127 tptp.e3)) % 0.37/0.62 (define @t177 () (tptp.op @t133 tptp.e2)) % 0.37/0.62 (define @t178 () (tptp.op @t139 tptp.e1)) % 0.37/0.62 (define @t179 () (tptp.op @t145 tptp.e0)) % 0.37/0.62 (define @t180 () (not @t2)) % 0.37/0.62 (define @t181 () (not @t33)) % 0.37/0.62 (define @t182 () (not @t64)) % 0.37/0.62 (define @t183 () (not @t95)) % 0.37/0.62 (define @t184 () (not @t126)) % 0.37/0.62 (define @t185 () (and @t184 @t183 @t182 @t181 @t180)) % 0.37/0.62 (define @t186 () (not @t8)) % 0.37/0.62 (define @t187 () (not @t39)) % 0.37/0.62 (define @t188 () (not @t70)) % 0.37/0.62 (define @t189 () (not @t101)) % 0.37/0.62 (define @t190 () (not @t132)) % 0.37/0.62 (define @t191 () (and @t190 @t189 @t188 @t187 @t186)) % 0.37/0.62 (define @t192 () (not @t14)) % 0.37/0.62 (define @t193 () (not @t45)) % 0.37/0.62 (define @t194 () (not @t76)) % 0.37/0.62 (define @t195 () (not @t107)) % 0.37/0.62 (define @t196 () (not @t138)) % 0.37/0.62 (define @t197 () (and @t196 @t195 @t194 @t193 @t192)) % 0.37/0.62 (define @t198 () (not @t20)) % 0.37/0.62 (define @t199 () (not @t51)) % 0.37/0.62 (define @t200 () (not @t82)) % 0.37/0.62 (define @t201 () (not @t113)) % 0.37/0.62 (define @t202 () (not @t144)) % 0.37/0.62 (define @t203 () (and @t202 @t201 @t200 @t199 @t198)) % 0.37/0.62 (define @t204 () (not @t26)) % 0.37/0.62 (define @t205 () (not @t57)) % 0.37/0.62 (define @t206 () (not @t88)) % 0.37/0.62 (define @t207 () (not @t119)) % 0.37/0.62 (define @t208 () (not @t150)) % 0.37/0.62 (define @t209 () (and @t208 @t207 @t206 @t205 @t204)) % 0.37/0.62 (define @t210 () (or @t209 @t203 @t197 @t191 @t185)) % 0.37/0.62 (define @t211 () (and @t210 (= @t179 tptp.e0) (= @t178 tptp.e0) (= @t177 tptp.e0) (= @t176 tptp.e0) (= @t175 tptp.e0) (= @t174 tptp.e1) (= @t173 tptp.e1) (= @t172 tptp.e1) (= @t171 tptp.e1) (= @t170 tptp.e1) (= @t169 tptp.e2) (= @t168 tptp.e2) (= @t167 tptp.e2) (= @t166 tptp.e2) (= @t165 tptp.e2) (= @t164 tptp.e3) (= @t163 tptp.e3) (= @t162 tptp.e3) (= @t161 tptp.e3) (= @t160 tptp.e3) (= @t159 tptp.e4) (= @t158 tptp.e4) (= @t157 tptp.e4) (= @t156 tptp.e4) (= @t155 tptp.e4))) % 0.37/0.62 (define @t212 () (= tptp.e4 @t158)) % 0.37/0.62 (define @t213 () (not @t212)) % 0.37/0.62 (define @t214 () (= @t109 @t139)) % 0.37/0.62 (define @t215 () (= tptp.e4 @t151)) % 0.37/0.62 (define @t216 () (not @t215)) % 0.37/0.62 (define @t217 () (not @t153)) % 0.37/0.62 (define @t218 () (not @t154)) % 0.37/0.62 (define @t219 () (not @t214)) % 0.37/0.62 (define @t220 () (and @t154 @t153 @t215 @t219)) % 0.37/0.62 (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))) % 0.37/0.62 (assume @p2 (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) (or @t118 @t112 @t106 @t100 @t94) (or @t142 @t112 @t82 @t52 @t22) (or @t117 @t111 @t105 @t99 @t93) (or @t141 @t111 @t81 @t51 @t21) (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) (or @t137 @t107 @t77 @t47 @t17) (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) (or @t134 @t104 @t74 @t44 @t14) (or @t60 @t54 @t48 @t42 @t36) (or @t132 @t102 @t72 @t42 @t12) (or @t59 @t53 @t47 @t41 @t35) (or @t131 @t101 @t71 @t41 @t11) (or @t58 @t52 @t46 @t40 @t34) (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))) % 0.37/0.62 (assume @p3 (and (= (tptp.op @t145 @t145) tptp.e0) (= (tptp.op @t115 @t139) tptp.e0) (= (tptp.op @t85 @t133) tptp.e0) (= (tptp.op @t55 @t127) tptp.e0) (= (tptp.op @t25 @t121) tptp.e0) (= (tptp.op @t139 @t115) tptp.e1) (= (tptp.op @t109 @t109) tptp.e1) (= (tptp.op @t79 @t103) tptp.e1) (= (tptp.op @t49 @t97) tptp.e1) (= (tptp.op @t19 @t91) tptp.e1) (= (tptp.op @t133 @t85) tptp.e2) (= (tptp.op @t103 @t79) tptp.e2) (= (tptp.op @t73 @t73) tptp.e2) (= (tptp.op @t43 @t67) tptp.e2) (= (tptp.op @t13 @t61) tptp.e2) (= (tptp.op @t127 @t55) tptp.e3) (= (tptp.op @t97 @t49) tptp.e3) (= (tptp.op @t67 @t43) tptp.e3) (= (tptp.op @t37 @t37) tptp.e3) (= (tptp.op @t7 @t31) tptp.e3) (= (tptp.op @t121 @t25) tptp.e4) (= (tptp.op @t91 @t19) tptp.e4) (= (tptp.op @t61 @t13) tptp.e4) (= (tptp.op @t31 @t7) tptp.e4) (= @t151 tptp.e4))) % 0.37/0.62 (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)))) % 0.37/0.62 (assume @p5 (and (not (= tptp.e0 tptp.e1)) (not (= tptp.e0 tptp.e2)) (not (= tptp.e0 tptp.e3)) (not (= tptp.e0 tptp.e4)) (not (= tptp.e1 tptp.e2)) (not (= tptp.e1 tptp.e3)) (not (= tptp.e1 tptp.e4)) (not (= tptp.e2 tptp.e3)) (not (= tptp.e2 tptp.e4)) (not (= tptp.e3 tptp.e4)))) % 0.37/0.62 (assume @p6 (and @t154 @t153 (= tptp.e2 (tptp.op @t152 @t1)) (= tptp.e3 (tptp.op @t152 @t152)))) % 0.37/0.62 (assume @p7 (not (not @t211))) % 0.37/0.62 (assume @p8 true) % 0.37/0.62 (step @p9 :rule and_elim :premises (@p3) :args (24)) % 0.37/0.62 (step @p10 :rule symm :premises (@p9)) % 0.37/0.62 (step @p11 :rule and_elim :premises (@p4) :args (10)) % 0.37/0.62 (step @p12 :rule symm :premises (@p11)) % 0.37/0.62 (step @p13 :rule and_elim :premises (@p6) :args (0)) % 0.37/0.62 (step @p14 :rule and_elim :premises (@p6) :args (1)) % 0.37/0.62 (step @p15 :rule eq-symm :args (@t155 tptp.e4)) % 0.37/0.62 (step @p16 :rule eq-symm :args (@t156 tptp.e4)) % 0.37/0.62 (step @p17 :rule eq-symm :args (@t157 tptp.e4)) % 0.37/0.62 (step @p18 :rule eq-symm :args (@t158 tptp.e4)) % 0.37/0.62 (step @p19 :rule eq-symm :args (@t159 tptp.e4)) % 0.37/0.62 (step @p20 :rule eq-symm :args (@t160 tptp.e3)) % 0.37/0.62 (step @p21 :rule eq-symm :args (@t161 tptp.e3)) % 0.37/0.62 (step @p22 :rule eq-symm :args (@t162 tptp.e3)) % 0.37/0.62 (step @p23 :rule eq-symm :args (@t163 tptp.e3)) % 0.37/0.62 (step @p24 :rule eq-symm :args (@t164 tptp.e3)) % 0.37/0.62 (step @p25 :rule eq-symm :args (@t165 tptp.e2)) % 0.37/0.62 (step @p26 :rule eq-symm :args (@t166 tptp.e2)) % 0.37/0.62 (step @p27 :rule eq-symm :args (@t167 tptp.e2)) % 0.37/0.62 (step @p28 :rule eq-symm :args (@t168 tptp.e2)) % 0.37/0.62 (step @p29 :rule eq-symm :args (@t169 tptp.e2)) % 0.37/0.62 (step @p30 :rule eq-symm :args (@t170 tptp.e1)) % 0.37/0.62 (step @p31 :rule eq-symm :args (@t171 tptp.e1)) % 0.37/0.62 (step @p32 :rule eq-symm :args (@t172 tptp.e1)) % 0.37/0.62 (step @p33 :rule eq-symm :args (@t173 tptp.e1)) % 0.37/0.62 (step @p34 :rule eq-symm :args (@t174 tptp.e1)) % 0.37/0.62 (step @p35 :rule eq-symm :args (@t175 tptp.e0)) % 0.37/0.62 (step @p36 :rule eq-symm :args (@t176 tptp.e0)) % 0.37/0.62 (step @p37 :rule eq-symm :args (@t177 tptp.e0)) % 0.37/0.62 (step @p38 :rule eq-symm :args (@t178 tptp.e0)) % 0.37/0.62 (step @p39 :rule eq-symm :args (@t179 tptp.e0)) % 0.37/0.62 (step @p40 :rule eq-symm :args (@t1 tptp.e4)) % 0.37/0.62 (step @p41 :rule cong :premises (@p40) :args (@t180)) % 0.37/0.62 (step @p42 :rule eq-symm :args (@t31 tptp.e3)) % 0.37/0.62 (step @p43 :rule cong :premises (@p42) :args (@t181)) % 0.37/0.62 (step @p44 :rule eq-symm :args (@t61 tptp.e2)) % 0.37/0.62 (step @p45 :rule cong :premises (@p44) :args (@t182)) % 0.37/0.62 (step @p46 :rule eq-symm :args (@t91 tptp.e1)) % 0.37/0.62 (step @p47 :rule cong :premises (@p46) :args (@t183)) % 0.37/0.62 (step @p48 :rule eq-symm :args (@t121 tptp.e0)) % 0.37/0.62 (step @p49 :rule cong :premises (@p48) :args (@t184)) % 0.37/0.62 (step @p50 :rule nary_cong :premises (@p49 @p47 @p45 @p43 @p41) :args (@t185)) % 0.37/0.62 (step @p51 :rule eq-symm :args (@t7 tptp.e4)) % 0.37/0.62 (step @p52 :rule cong :premises (@p51) :args (@t186)) % 0.37/0.62 (step @p53 :rule eq-symm :args (@t37 tptp.e3)) % 0.37/0.62 (step @p54 :rule cong :premises (@p53) :args (@t187)) % 0.37/0.62 (step @p55 :rule eq-symm :args (@t67 tptp.e2)) % 0.37/0.62 (step @p56 :rule cong :premises (@p55) :args (@t188)) % 0.37/0.62 (step @p57 :rule eq-symm :args (@t97 tptp.e1)) % 0.37/0.62 (step @p58 :rule cong :premises (@p57) :args (@t189)) % 0.37/0.62 (step @p59 :rule eq-symm :args (@t127 tptp.e0)) % 0.37/0.62 (step @p60 :rule cong :premises (@p59) :args (@t190)) % 0.37/0.62 (step @p61 :rule nary_cong :premises (@p60 @p58 @p56 @p54 @p52) :args (@t191)) % 0.37/0.62 (step @p62 :rule eq-symm :args (@t13 tptp.e4)) % 0.37/0.62 (step @p63 :rule cong :premises (@p62) :args (@t192)) % 0.37/0.62 (step @p64 :rule eq-symm :args (@t43 tptp.e3)) % 0.37/0.62 (step @p65 :rule cong :premises (@p64) :args (@t193)) % 0.37/0.62 (step @p66 :rule eq-symm :args (@t73 tptp.e2)) % 0.37/0.62 (step @p67 :rule cong :premises (@p66) :args (@t194)) % 0.37/0.62 (step @p68 :rule eq-symm :args (@t103 tptp.e1)) % 0.37/0.62 (step @p69 :rule cong :premises (@p68) :args (@t195)) % 0.37/0.62 (step @p70 :rule eq-symm :args (@t133 tptp.e0)) % 0.37/0.62 (step @p71 :rule cong :premises (@p70) :args (@t196)) % 0.37/0.62 (step @p72 :rule nary_cong :premises (@p71 @p69 @p67 @p65 @p63) :args (@t197)) % 0.37/0.62 (step @p73 :rule eq-symm :args (@t19 tptp.e4)) % 0.37/0.62 (step @p74 :rule cong :premises (@p73) :args (@t198)) % 0.37/0.62 (step @p75 :rule eq-symm :args (@t49 tptp.e3)) % 0.37/0.62 (step @p76 :rule cong :premises (@p75) :args (@t199)) % 0.37/0.62 (step @p77 :rule eq-symm :args (@t79 tptp.e2)) % 0.37/0.62 (step @p78 :rule cong :premises (@p77) :args (@t200)) % 0.37/0.62 (step @p79 :rule eq-symm :args (@t109 tptp.e1)) % 0.37/0.62 (step @p80 :rule cong :premises (@p79) :args (@t201)) % 0.37/0.62 (step @p81 :rule eq-symm :args (@t139 tptp.e0)) % 0.37/0.62 (step @p82 :rule cong :premises (@p81) :args (@t202)) % 0.37/0.62 (step @p83 :rule nary_cong :premises (@p82 @p80 @p78 @p76 @p74) :args (@t203)) % 0.37/0.62 (step @p84 :rule eq-symm :args (@t25 tptp.e4)) % 0.37/0.62 (step @p85 :rule cong :premises (@p84) :args (@t204)) % 0.37/0.62 (step @p86 :rule eq-symm :args (@t55 tptp.e3)) % 0.37/0.62 (step @p87 :rule cong :premises (@p86) :args (@t205)) % 0.37/0.62 (step @p88 :rule eq-symm :args (@t85 tptp.e2)) % 0.37/0.62 (step @p89 :rule cong :premises (@p88) :args (@t206)) % 0.37/0.62 (step @p90 :rule eq-symm :args (@t115 tptp.e1)) % 0.37/0.62 (step @p91 :rule cong :premises (@p90) :args (@t207)) % 0.37/0.62 (step @p92 :rule eq-symm :args (@t145 tptp.e0)) % 0.37/0.62 (step @p93 :rule cong :premises (@p92) :args (@t208)) % 0.37/0.62 (step @p94 :rule nary_cong :premises (@p93 @p91 @p89 @p87 @p85) :args (@t209)) % 0.37/0.62 (step @p95 :rule nary_cong :premises (@p94 @p83 @p72 @p61 @p50) :args (@t210)) % 0.37/0.62 (step @p96 :rule nary_cong :premises (@p95 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15) :args (@t211)) % 0.37/0.62 (step @p97 :rule bool-double-not-elim :args (@t211)) % 0.37/0.62 (step @p98 :rule trans :premises (@p97 @p96)) % 0.37/0.62 (step @p99 :rule eq_resolve :premises (@p7 @p98)) % 0.37/0.62 (step @p100 :rule and_elim :premises (@p99) :args (22)) % 0.37/0.62 (step @p101 :rule refl :args (@t213)) % 0.37/0.62 (step @p102 :rule bool-double-not-elim :args (@t214)) % 0.37/0.62 (step @p103 :rule refl :args (@t216)) % 0.37/0.62 (step @p104 :rule refl :args (@t217)) % 0.37/0.62 (step @p105 :rule refl :args (@t218)) % 0.37/0.62 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p101) :args ((or @t218 @t217 @t216 (not @t219) @t213))) % 0.37/0.62 (assume-push @p135 @t154) % 0.37/0.62 (assume-push @p136 @t153) % 0.37/0.62 (assume-push @p137 @t215) % 0.37/0.62 (assume-push @p138 @t219) % 0.37/0.62 (step @p111 :rule false_intro :premises (@p12)) % 0.37/0.62 (step @p112 :rule refl :args (tptp.e1)) % 0.37/0.62 (step @p113 :rule symm :premises (@p13)) % 0.37/0.62 (step @p114 :rule refl :args (tptp.e4)) % 0.37/0.62 (step @p115 :rule cong :premises (@p114 @p14) :args (@t19)) % 0.37/0.62 (step @p116 :rule trans :premises (@p115 @p113)) % 0.37/0.62 (step @p117 :rule cong :premises (@p116 @p112) :args (@t158)) % 0.37/0.62 (step @p118 :rule symm :premises (@p14)) % 0.37/0.62 (step @p119 :rule cong :premises (@p118 @p118) :args (@t151)) % 0.37/0.62 (step @p120 :rule trans :premises (@p10 @p119)) % 0.37/0.62 (step @p121 :rule cong :premises (@p120 @p117) :args (@t212)) % 0.37/0.62 (step @p122 :rule trans :premises (@p121 @p111)) % 0.37/0.62 (step @p123 :rule false_elim :premises (@p122)) % 0.37/0.62 (step-pop @p139 :rule scope :premises (@p123)) % 0.37/0.62 (step-pop @p140 :rule scope :premises (@p139)) % 0.37/0.62 (step-pop @p141 :rule scope :premises (@p140)) % 0.37/0.62 (step-pop @p142 :rule scope :premises (@p141)) % 0.37/0.62 (step @p124 :rule process_scope :premises (@p142) :args (@t213)) % 0.37/0.62 (step @p129 :rule implies_elim :premises (@p124)) % 0.37/0.62 (step @p130 :rule cnf_and_neg :args (@t220)) % 0.37/0.62 (step @p131 :rule resolution :premises (@p130 @p129) :args (true @t220)) % 0.37/0.62 (step @p132 :rule eq_resolve :premises (@p131 @p106)) % 0.37/0.62 (step @p133 :rule reordering :premises (@p132) :args ((or @t214 @t217 @t216 @t218 @t213))) % 0.37/0.62 (step @p134 false :rule chain_m_resolution :premises (@p133 @p100 @p14 @p13 @p12 @p10) :args (false (@list false false false true false) (@list @t212 @t153 @t154 @t214 @t215))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------