%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG130+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 : n015.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 08:05:18 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.61s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG130+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 : n015.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 01:40:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Unsatisfiable % 0.38/0.61 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-sort $$unsorted 0) % 0.45/0.64 (declare-const tptp.e0 $$unsorted) % 0.45/0.64 (declare-const tptp.e1 $$unsorted) % 0.45/0.64 (declare-const tptp.e2 $$unsorted) % 0.45/0.64 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.e3 $$unsorted) % 0.45/0.64 (define @t1 () (tptp.op tptp.e3 tptp.e3)) % 0.45/0.64 (define @t2 () (= @t1 tptp.e3)) % 0.45/0.64 (define @t3 () (= @t1 tptp.e2)) % 0.45/0.64 (define @t4 () (= @t1 tptp.e1)) % 0.45/0.64 (define @t5 () (= @t1 tptp.e0)) % 0.45/0.64 (define @t6 () (tptp.op tptp.e3 tptp.e2)) % 0.45/0.64 (define @t7 () (= @t6 tptp.e3)) % 0.45/0.64 (define @t8 () (= @t6 tptp.e2)) % 0.45/0.64 (define @t9 () (= @t6 tptp.e1)) % 0.45/0.64 (define @t10 () (= @t6 tptp.e0)) % 0.45/0.64 (define @t11 () (tptp.op tptp.e3 tptp.e1)) % 0.45/0.64 (define @t12 () (= @t11 tptp.e3)) % 0.45/0.64 (define @t13 () (= @t11 tptp.e2)) % 0.45/0.64 (define @t14 () (= @t11 tptp.e1)) % 0.45/0.64 (define @t15 () (= @t11 tptp.e0)) % 0.45/0.64 (define @t16 () (tptp.op tptp.e3 tptp.e0)) % 0.45/0.64 (define @t17 () (= @t16 tptp.e3)) % 0.45/0.64 (define @t18 () (= @t16 tptp.e2)) % 0.45/0.64 (define @t19 () (= @t16 tptp.e1)) % 0.45/0.64 (define @t20 () (= @t16 tptp.e0)) % 0.45/0.64 (define @t21 () (tptp.op tptp.e2 tptp.e3)) % 0.45/0.64 (define @t22 () (= @t21 tptp.e3)) % 0.45/0.64 (define @t23 () (= @t21 tptp.e2)) % 0.45/0.64 (define @t24 () (= @t21 tptp.e1)) % 0.45/0.64 (define @t25 () (= @t21 tptp.e0)) % 0.45/0.64 (define @t26 () (tptp.op tptp.e2 tptp.e2)) % 0.45/0.64 (define @t27 () (= @t26 tptp.e3)) % 0.45/0.64 (define @t28 () (= @t26 tptp.e2)) % 0.45/0.64 (define @t29 () (= @t26 tptp.e1)) % 0.45/0.64 (define @t30 () (= @t26 tptp.e0)) % 0.45/0.64 (define @t31 () (tptp.op tptp.e2 tptp.e1)) % 0.45/0.64 (define @t32 () (= @t31 tptp.e3)) % 0.45/0.64 (define @t33 () (= @t31 tptp.e2)) % 0.45/0.64 (define @t34 () (= @t31 tptp.e1)) % 0.45/0.64 (define @t35 () (= @t31 tptp.e0)) % 0.45/0.64 (define @t36 () (tptp.op tptp.e2 tptp.e0)) % 0.45/0.64 (define @t37 () (= @t36 tptp.e3)) % 0.45/0.64 (define @t38 () (= @t36 tptp.e2)) % 0.45/0.64 (define @t39 () (= @t36 tptp.e1)) % 0.45/0.64 (define @t40 () (= @t36 tptp.e0)) % 0.45/0.64 (define @t41 () (tptp.op tptp.e1 tptp.e3)) % 0.45/0.64 (define @t42 () (= @t41 tptp.e3)) % 0.45/0.64 (define @t43 () (= @t41 tptp.e2)) % 0.45/0.64 (define @t44 () (= @t41 tptp.e1)) % 0.45/0.64 (define @t45 () (= @t41 tptp.e0)) % 0.45/0.64 (define @t46 () (tptp.op tptp.e1 tptp.e2)) % 0.45/0.64 (define @t47 () (= @t46 tptp.e3)) % 0.45/0.64 (define @t48 () (= @t46 tptp.e2)) % 0.45/0.64 (define @t49 () (= @t46 tptp.e1)) % 0.45/0.64 (define @t50 () (= @t46 tptp.e0)) % 0.45/0.64 (define @t51 () (tptp.op tptp.e1 tptp.e1)) % 0.45/0.64 (define @t52 () (= @t51 tptp.e3)) % 0.45/0.64 (define @t53 () (= @t51 tptp.e2)) % 0.45/0.64 (define @t54 () (= @t51 tptp.e1)) % 0.45/0.64 (define @t55 () (= @t51 tptp.e0)) % 0.45/0.64 (define @t56 () (tptp.op tptp.e1 tptp.e0)) % 0.45/0.64 (define @t57 () (= @t56 tptp.e3)) % 0.45/0.64 (define @t58 () (= @t56 tptp.e2)) % 0.45/0.64 (define @t59 () (= @t56 tptp.e1)) % 0.45/0.64 (define @t60 () (= @t56 tptp.e0)) % 0.45/0.64 (define @t61 () (tptp.op tptp.e0 tptp.e3)) % 0.45/0.64 (define @t62 () (= @t61 tptp.e3)) % 0.45/0.64 (define @t63 () (= @t61 tptp.e2)) % 0.45/0.64 (define @t64 () (= @t61 tptp.e1)) % 0.45/0.64 (define @t65 () (= @t61 tptp.e0)) % 0.45/0.64 (define @t66 () (or @t65 @t64 @t63 @t62)) % 0.45/0.64 (define @t67 () (tptp.op tptp.e0 tptp.e2)) % 0.45/0.64 (define @t68 () (= @t67 tptp.e3)) % 0.45/0.64 (define @t69 () (= @t67 tptp.e2)) % 0.45/0.64 (define @t70 () (= @t67 tptp.e1)) % 0.45/0.64 (define @t71 () (= @t67 tptp.e0)) % 0.45/0.64 (define @t72 () (tptp.op tptp.e0 tptp.e1)) % 0.45/0.64 (define @t73 () (= @t72 tptp.e3)) % 0.45/0.64 (define @t74 () (= @t72 tptp.e2)) % 0.45/0.64 (define @t75 () (= @t72 tptp.e1)) % 0.45/0.64 (define @t76 () (= @t72 tptp.e0)) % 0.45/0.64 (define @t77 () (or @t76 @t75 @t74 @t73)) % 0.45/0.64 (define @t78 () (tptp.op tptp.e0 tptp.e0)) % 0.45/0.64 (define @t79 () (= @t78 tptp.e3)) % 0.45/0.64 (define @t80 () (= @t78 tptp.e2)) % 0.45/0.64 (define @t81 () (= @t78 tptp.e1)) % 0.45/0.64 (define @t82 () (= @t78 tptp.e0)) % 0.45/0.64 (define @t83 () (or @t82 @t81 @t80 @t79)) % 0.45/0.64 (define @t84 () (or @t19 @t14 @t9 @t4)) % 0.45/0.64 (define @t85 () (or @t65 @t45 @t25 @t5)) % 0.45/0.64 (define @t86 () (or @t37 @t32 @t27 @t22)) % 0.45/0.64 (define @t87 () (or @t58 @t53 @t48 @t43)) % 0.45/0.64 (define @t88 () (or @t79 @t73 @t68 @t62)) % 0.45/0.64 (define @t89 () (or @t80 @t74 @t69 @t63)) % 0.45/0.64 (define @t90 () (or @t81 @t75 @t70 @t64)) % 0.45/0.64 (define @t91 () (= tptp.e2 tptp.e3)) % 0.45/0.64 (define @t92 () (not @t91)) % 0.45/0.64 (define @t93 () (= tptp.e1 tptp.e3)) % 0.45/0.64 (define @t94 () (not @t93)) % 0.45/0.64 (define @t95 () (= tptp.e1 tptp.e2)) % 0.45/0.64 (define @t96 () (not @t95)) % 0.45/0.64 (define @t97 () (= tptp.e0 tptp.e3)) % 0.45/0.64 (define @t98 () (not @t97)) % 0.45/0.64 (define @t99 () (= tptp.e0 tptp.e2)) % 0.45/0.64 (define @t100 () (not @t99)) % 0.45/0.64 (define @t101 () (= tptp.e0 tptp.e1)) % 0.45/0.64 (define @t102 () (not @t101)) % 0.45/0.64 (define @t103 () (tptp.op tptp.e3 @t1)) % 0.45/0.64 (define @t104 () (tptp.op tptp.e3 @t21)) % 0.45/0.64 (define @t105 () (tptp.op tptp.e3 @t41)) % 0.45/0.64 (define @t106 () (tptp.op tptp.e3 @t61)) % 0.45/0.64 (define @t107 () (and (= @t106 @t61) (= @t105 @t41) (= @t104 @t21) (= @t103 @t1))) % 0.45/0.64 (define @t108 () (tptp.op tptp.e2 @t6)) % 0.45/0.64 (define @t109 () (tptp.op tptp.e2 @t26)) % 0.45/0.64 (define @t110 () (tptp.op tptp.e2 @t46)) % 0.45/0.64 (define @t111 () (tptp.op tptp.e2 @t67)) % 0.45/0.64 (define @t112 () (and (= @t111 @t67) (= @t110 @t46) (= @t109 @t26) (= @t108 @t6))) % 0.45/0.64 (define @t113 () (tptp.op tptp.e1 @t11)) % 0.45/0.64 (define @t114 () (tptp.op tptp.e1 @t31)) % 0.45/0.64 (define @t115 () (tptp.op tptp.e1 @t51)) % 0.45/0.64 (define @t116 () (tptp.op tptp.e1 @t72)) % 0.45/0.64 (define @t117 () (and (= @t116 @t72) (= @t115 @t51) (= @t114 @t31) (= @t113 @t11))) % 0.45/0.64 (define @t118 () (tptp.op tptp.e0 @t16)) % 0.45/0.64 (define @t119 () (tptp.op tptp.e0 @t36)) % 0.45/0.64 (define @t120 () (tptp.op tptp.e0 @t56)) % 0.45/0.64 (define @t121 () (tptp.op tptp.e0 @t78)) % 0.45/0.64 (define @t122 () (and (= @t121 @t78) (= @t120 @t56) (= @t119 @t36) (= @t118 @t16))) % 0.45/0.64 (define @t123 () (or @t122 @t117 @t112 @t107)) % 0.45/0.64 (define @t124 () (tptp.op @t1 tptp.e3)) % 0.45/0.64 (define @t125 () (tptp.op @t6 tptp.e3)) % 0.45/0.64 (define @t126 () (tptp.op @t16 tptp.e3)) % 0.45/0.64 (define @t127 () (tptp.op @t21 tptp.e2)) % 0.45/0.64 (define @t128 () (tptp.op @t36 tptp.e2)) % 0.45/0.64 (define @t129 () (tptp.op @t41 tptp.e1)) % 0.45/0.64 (define @t130 () (tptp.op @t56 tptp.e1)) % 0.45/0.64 (define @t131 () (tptp.op @t61 tptp.e0)) % 0.45/0.64 (define @t132 () (tptp.op @t67 tptp.e0)) % 0.45/0.64 (define @t133 () (tptp.op @t72 tptp.e0)) % 0.45/0.64 (define @t134 () (tptp.op @t78 tptp.e0)) % 0.45/0.64 (define @t135 () (= tptp.e3 @t31)) % 0.45/0.64 (define @t136 () (tptp.op @t31 @t31)) % 0.45/0.64 (define @t137 () (= tptp.e0 @t136)) % 0.45/0.64 (define @t138 () (tptp.op @t11 @t11)) % 0.45/0.64 (define @t139 () (tptp.op @t46 @t46)) % 0.45/0.64 (define @t140 () (= tptp.e1 @t6)) % 0.45/0.64 (define @t141 () (tptp.op @t6 @t6)) % 0.45/0.64 (define @t142 () (= tptp.e0 @t141)) % 0.45/0.64 (define @t143 () (= tptp.e2 @t41)) % 0.45/0.64 (define @t144 () (tptp.op @t41 @t41)) % 0.45/0.64 (define @t145 () (tptp.op @t21 @t21)) % 0.45/0.64 (define @t146 () (= tptp.e3 @t36)) % 0.45/0.64 (define @t147 () (tptp.op @t36 @t36)) % 0.45/0.64 (define @t148 () (= tptp.e2 @t16)) % 0.45/0.64 (define @t149 () (tptp.op @t16 @t16)) % 0.45/0.64 (define @t150 () (= tptp.e3 @t67)) % 0.45/0.64 (define @t151 () (tptp.op @t67 @t67)) % 0.45/0.64 (define @t152 () (= tptp.e1 @t151)) % 0.45/0.64 (define @t153 () (= tptp.e2 @t61)) % 0.45/0.64 (define @t154 () (tptp.op @t61 @t61)) % 0.45/0.64 (define @t155 () (= tptp.e0 @t21)) % 0.45/0.64 (define @t156 () (= tptp.e1 @t145)) % 0.45/0.64 (define @t157 () (tptp.op @t56 @t56)) % 0.45/0.64 (define @t158 () (= tptp.e1 @t16)) % 0.45/0.64 (define @t159 () (= tptp.e3 @t72)) % 0.45/0.64 (define @t160 () (tptp.op @t72 @t72)) % 0.45/0.64 (define @t161 () (= tptp.e1 @t61)) % 0.45/0.64 (define @t162 () (= tptp.e0 @t41)) % 0.45/0.64 (define @t163 () (= tptp.e2 @t144)) % 0.45/0.64 (define @t164 () (= tptp.e2 @t56)) % 0.45/0.64 (define @t165 () (= tptp.e2 @t72)) % 0.45/0.64 (define @t166 () (= tptp.e3 @t160)) % 0.45/0.64 (define @t167 () (= tptp.e0 @t31)) % 0.45/0.64 (define @t168 () (= tptp.e1 @t67)) % 0.45/0.64 (define @t169 () (= tptp.e0 @t46)) % 0.45/0.64 (define @t170 () (= tptp.e3 @t139)) % 0.45/0.64 (define @t171 () (= tptp.e3 @t129)) % 0.45/0.64 (define @t172 () (= tptp.e1 @t133)) % 0.45/0.64 (define @t173 () (and @t162 @t171 @t172)) % 0.45/0.64 (define @t174 () (not @t171)) % 0.45/0.64 (define @t175 () (not @t172)) % 0.45/0.64 (define @t176 () (not @t162)) % 0.45/0.64 (define @t177 () (= @t16 @t118)) % 0.45/0.64 (define @t178 () (= @t16 @t56)) % 0.45/0.64 (define @t179 () (and @t158 @t172 @t177)) % 0.45/0.64 (define @t180 () (not @t177)) % 0.45/0.64 (define @t181 () (not @t158)) % 0.45/0.64 (define @t182 () (= @t56 @t120)) % 0.45/0.64 (define @t183 () (= @t78 @t121)) % 0.45/0.64 (define @t184 () (and @t183 @t182 (= @t36 @t119) @t177)) % 0.45/0.64 (define @t185 () (not @t184)) % 0.45/0.64 (define @t186 () (not @t165)) % 0.45/0.64 (define @t187 () (not @t92)) % 0.45/0.64 (define @t188 () (and @t92 @t162 @t171)) % 0.45/0.64 (define @t189 () (not @t156)) % 0.45/0.64 (define @t190 () (not @t155)) % 0.45/0.64 (define @t191 () (= tptp.e3 @t78)) % 0.45/0.64 (define @t192 () (not @t191)) % 0.45/0.64 (define @t193 () (= tptp.e3 @t127)) % 0.45/0.64 (define @t194 () (not @t193)) % 0.45/0.64 (define @t195 () (= @t67 @t78)) % 0.45/0.64 (define @t196 () (not @t195)) % 0.45/0.64 (define @t197 () (not @t196)) % 0.45/0.64 (define @t198 () (and @t155 @t196 @t193)) % 0.45/0.64 (define @t199 () (= tptp.e2 @t78)) % 0.45/0.64 (define @t200 () (not @t199)) % 0.45/0.64 (define @t201 () (= tptp.e2 @t132)) % 0.45/0.64 (define @t202 () (not @t201)) % 0.45/0.64 (define @t203 () (= @t16 @t78)) % 0.45/0.64 (define @t204 () (not @t203)) % 0.45/0.64 (define @t205 () (not @t204)) % 0.45/0.64 (define @t206 () (and @t155 @t204 @t193 @t201)) % 0.45/0.64 (define @t207 () (= tptp.e1 @t78)) % 0.45/0.64 (define @t208 () (not @t207)) % 0.45/0.64 (define @t209 () (and @t155 @t189)) % 0.45/0.64 (define @t210 () (= tptp.e0 @t78)) % 0.45/0.64 (define @t211 () (= tptp.e0 @t126)) % 0.45/0.64 (define @t212 () (not @t211)) % 0.45/0.64 (define @t213 () (= @t72 @t78)) % 0.45/0.64 (define @t214 () (not @t213)) % 0.45/0.64 (define @t215 () (not @t214)) % 0.45/0.64 (define @t216 () (and @t158 @t214 @t211 @t171)) % 0.45/0.64 (define @t217 () (and @t158 @t204)) % 0.45/0.64 (define @t218 () (= tptp.e0 @t1)) % 0.45/0.64 (define @t219 () (= tptp.e0 @t61)) % 0.45/0.64 (define @t220 () (not @t218)) % 0.45/0.64 (define @t221 () (= tptp.e3 @t124)) % 0.45/0.64 (define @t222 () (not @t221)) % 0.45/0.64 (define @t223 () (= @t61 @t78)) % 0.45/0.64 (define @t224 () (not @t223)) % 0.45/0.64 (define @t225 () (not @t224)) % 0.45/0.64 (define @t226 () (= tptp.e3 @t61)) % 0.45/0.64 (define @t227 () (and @t224 @t221 @t218)) % 0.45/0.64 (define @t228 () (not @t153)) % 0.45/0.64 (define @t229 () (and @t92 @t221 @t218)) % 0.45/0.64 (define @t230 () (not @t182)) % 0.45/0.64 (define @t231 () (= tptp.e0 @t134)) % 0.45/0.64 (define @t232 () (not @t231)) % 0.45/0.64 (define @t233 () (not @t102)) % 0.45/0.64 (define @t234 () (and @t102 @t231 @t207)) % 0.45/0.64 (define @t235 () (= @t1 @t103)) % 0.45/0.64 (define @t236 () (not @t235)) % 0.45/0.64 (define @t237 () (= @t1 @t16)) % 0.45/0.64 (define @t238 () (not @t237)) % 0.45/0.64 (define @t239 () (and @t238 @t218)) % 0.45/0.64 (define @t240 () (= @t21 @t104)) % 0.45/0.64 (define @t241 () (= @t41 @t105)) % 0.45/0.64 (define @t242 () (and (= @t61 @t106) @t241 @t240 @t235)) % 0.45/0.64 (define @t243 () (not @t242)) % 0.45/0.64 (define @t244 () (not @t146)) % 0.45/0.64 (define @t245 () (= tptp.e3 @t131)) % 0.45/0.64 (define @t246 () (not @t245)) % 0.45/0.64 (define @t247 () (= @t16 @t36)) % 0.45/0.64 (define @t248 () (not @t247)) % 0.45/0.64 (define @t249 () (= tptp.e3 @t16)) % 0.45/0.64 (define @t250 () (and @t248 @t221 @t245 @t218)) % 0.45/0.64 (define @t251 () (= tptp.e3 @t21)) % 0.45/0.64 (define @t252 () (not @t251)) % 0.45/0.64 (define @t253 () (= @t21 @t61)) % 0.45/0.64 (define @t254 () (not @t253)) % 0.45/0.64 (define @t255 () (= false true)) % 0.45/0.64 (define @t256 () (and @t245 @t251 @t226 @t254)) % 0.45/0.64 (define @t257 () (= tptp.e3 @t26)) % 0.45/0.64 (define @t258 () (not @t257)) % 0.45/0.64 (define @t259 () (= tptp.e2 @t67)) % 0.45/0.64 (define @t260 () (not @t259)) % 0.45/0.64 (define @t261 () (= tptp.e0 @t128)) % 0.45/0.64 (define @t262 () (not @t261)) % 0.45/0.64 (define @t263 () (not @t178)) % 0.45/0.64 (define @t264 () (= tptp.e0 @t56)) % 0.45/0.64 (define @t265 () (= tptp.e0 @t26)) % 0.45/0.64 (define @t266 () (and @t263 @t221 @t261 @t245 @t201 @t231 @t207 @t259 @t218)) % 0.45/0.64 (define @t267 () (= @t67 @t111)) % 0.45/0.64 (define @t268 () (not @t267)) % 0.45/0.64 (define @t269 () (= tptp.e0 @t130)) % 0.45/0.64 (define @t270 () (not @t269)) % 0.45/0.64 (define @t271 () (= @t67 @t72)) % 0.45/0.64 (define @t272 () (not @t271)) % 0.45/0.64 (define @t273 () (and @t272 @t261 @t269 @t201 @t231 @t207 @t259 @t218)) % 0.45/0.64 (define @t274 () (= @t6 @t108)) % 0.45/0.64 (define @t275 () (and @t267 (= @t46 @t110) (= @t26 @t109) @t274)) % 0.45/0.64 (define @t276 () (not @t275)) % 0.45/0.64 (define @t277 () (not @t135)) % 0.45/0.64 (define @t278 () (= tptp.e2 @t125)) % 0.45/0.64 (define @t279 () (and @t140 @t278 @t171 @t218)) % 0.45/0.64 (define @t280 () (not @t140)) % 0.45/0.64 (define @t281 () (= @t11 @t113)) % 0.45/0.64 (define @t282 () (= @t72 @t116)) % 0.45/0.64 (define @t283 () (and @t282 (= @t51 @t115) (= @t31 @t114) @t281)) % 0.45/0.64 (define @t284 () (not @t283)) % 0.45/0.64 (define @t285 () (= tptp.e1 @t1)) % 0.45/0.64 (define @t286 () (= tptp.e1 @t11)) % 0.45/0.64 (define @t287 () (= @t11 @t51)) % 0.45/0.64 (define @t288 () (and @t286 @t281)) % 0.45/0.64 (define @t289 () (not @t281)) % 0.45/0.64 (define @t290 () (not @t286)) % 0.45/0.64 (define @t291 () (not @t100)) % 0.45/0.64 (define @t292 () (= tptp.e0 @t72)) % 0.45/0.64 (define @t293 () (and @t231 @t292 @t165 @t100)) % 0.45/0.64 (define @t294 () (not @t219)) % 0.45/0.64 (define @t295 () (not @t94)) % 0.45/0.64 (define @t296 () (and @t94 @t245 @t219)) % 0.45/0.64 (define @t297 () (not @t161)) % 0.45/0.64 (define @t298 () (= tptp.e0 @t16)) % 0.45/0.64 (define @t299 () (and @t245 @t231 @t219 @t181)) % 0.45/0.64 (define @t300 () (and @t165 @t261 @t245 @t172 @t219)) % 0.45/0.64 (define @t301 () (and @t165 @t261 @t172)) % 0.45/0.64 (define @t302 () (and @t231 @t219 @t153 @t100)) % 0.45/0.64 (define @t303 () (not @t168)) % 0.45/0.64 (define @t304 () (not @t96)) % 0.45/0.64 (define @t305 () (and @t96 @t259)) % 0.45/0.64 (define @t306 () (= tptp.e1 @t72)) % 0.45/0.64 (define @t307 () (not @t306)) % 0.45/0.64 (define @t308 () (= @t11 @t72)) % 0.45/0.64 (define @t309 () (not @t308)) % 0.45/0.64 (define @t310 () (not @t309)) % 0.45/0.64 (define @t311 () (and @t172 @t286 @t306 @t309)) % 0.45/0.64 (define @t312 () (and @t140 @t269 @t172 @t306)) % 0.45/0.64 (define @t313 () (and @t92 @t245 @t219)) % 0.45/0.64 (define @t314 () (and @t96 @t199)) % 0.45/0.64 (define @t315 () (not @t285)) % 0.45/0.64 (define @t316 () (not @t315)) % 0.45/0.64 (define @t317 () (= tptp.e0 @t36)) % 0.45/0.64 (define @t318 () (= tptp.e0 @t67)) % 0.45/0.64 (define @t319 () (and @t261 @t231 @t199 @t218 @t315)) % 0.45/0.64 (define @t320 () (and @t94 @t221 @t218)) % 0.45/0.64 (define @t321 () (and @t172 @t158 @t249 @t94)) % 0.45/0.64 (define @t322 () (not @t163)) % 0.45/0.64 (define @t323 () (and @t158 @t211 @t322)) % 0.45/0.64 (define @t324 () (= tptp.e3 @t41)) % 0.45/0.64 (define @t325 () (and @t98 @t221 @t285)) % 0.45/0.64 (define @t326 () (and @t102 @t285)) % 0.45/0.64 (define @t327 () (not @t143)) % 0.45/0.64 (define @t328 () (and @t92 @t221 @t285)) % 0.45/0.64 (define @t329 () (not @t159)) % 0.45/0.64 (define @t330 () (= tptp.e3 @t11)) % 0.45/0.64 (define @t331 () (and @t309 @t221 @t171 @t285)) % 0.45/0.64 (define @t332 () (not @t292)) % 0.45/0.64 (define @t333 () (= @t61 @t72)) % 0.45/0.64 (define @t334 () (not @t333)) % 0.45/0.64 (define @t335 () (and @t334 @t219)) % 0.45/0.64 (define @t336 () (not @t164)) % 0.45/0.64 (define @t337 () (= tptp.e1 @t56)) % 0.45/0.64 (define @t338 () (and @t172 @t306 @t285 @t186)) % 0.45/0.64 (define @t339 () (= tptp.e2 @t46)) % 0.45/0.64 (define @t340 () (not @t339)) % 0.45/0.64 (define @t341 () (= @t46 @t67)) % 0.45/0.64 (define @t342 () (not @t341)) % 0.45/0.64 (define @t343 () (and @t342 @t339)) % 0.45/0.64 (define @t344 () (= tptp.e2 @t51)) % 0.45/0.64 (define @t345 () (not @t344)) % 0.45/0.64 (define @t346 () (= tptp.e0 @t51)) % 0.45/0.64 (define @t347 () (and @t344 @t100 @t346)) % 0.45/0.64 (define @t348 () (not @t282)) % 0.45/0.64 (define @t349 () (not @t210)) % 0.45/0.64 (define @t350 () (and @t162 @t214 @t171 @t210)) % 0.45/0.64 (define @t351 () (not @t241)) % 0.45/0.64 (define @t352 () (and @t102 @t162 @t171 @t172)) % 0.45/0.64 (define @t353 () (and @t153 @t261 @t245 @t274)) % 0.45/0.64 (define @t354 () (= @t26 @t67)) % 0.45/0.64 (define @t355 () (and @t259 @t267)) % 0.45/0.64 (define @t356 () (and @t94 @t155 @t193)) % 0.45/0.64 (define @t357 () (and @t155 @t196 @t193 @t210)) % 0.45/0.64 (define @t358 () (not @t240)) % 0.45/0.64 (define @t359 () (and @t100 @t155 @t193 @t201)) % 0.45/0.64 (define @t360 () (and @t92 @t155 @t193 @t201)) % 0.45/0.64 (define @t361 () (= @t51 @t72)) % 0.45/0.64 (define @t362 () (and @t306 @t282)) % 0.45/0.64 (define @t363 () (and @t161 @t269 @t245 @t281)) % 0.45/0.64 (define @t364 () (and @t245 @t219 @t183)) % 0.45/0.64 (define @t365 () (and @t155 @t193 @t285)) % 0.45/0.64 (define @t366 () (not @t226)) % 0.45/0.64 (define @t367 () (= @t41 @t61)) % 0.45/0.64 (define @t368 () (not @t367)) % 0.45/0.64 (define @t369 () (and @t245 @t324 @t226 @t368)) % 0.45/0.64 (define @t370 () (and @t210 @t218 @t315)) % 0.45/0.64 (define @t371 () (not @t166)) % 0.45/0.64 (define @t372 () (and @t168 @t224 @t269 @t201 @t210 @t226)) % 0.45/0.64 (define @t373 () (and @t165 @t371)) % 0.45/0.64 (assume @p1 (and @t83 @t77 (or @t71 @t70 @t69 @t68) @t66 (or @t60 @t59 @t58 @t57) (or @t55 @t54 @t53 @t52) (or @t50 @t49 @t48 @t47) (or @t45 @t44 @t43 @t42) (or @t40 @t39 @t38 @t37) (or @t35 @t34 @t33 @t32) (or @t30 @t29 @t28 @t27) (or @t25 @t24 @t23 @t22) (or @t20 @t19 @t18 @t17) (or @t15 @t14 @t13 @t12) (or @t10 @t9 @t8 @t7) (or @t5 @t4 @t3 @t2))) % 0.45/0.64 (assume @p2 (and (or @t82 @t76 @t71 @t65) (or @t82 @t60 @t40 @t20) @t90 (or @t81 @t59 @t39 @t19) @t89 (or @t80 @t58 @t38 @t18) @t88 (or @t79 @t57 @t37 @t17) (or @t60 @t55 @t50 @t45) (or @t76 @t55 @t35 @t15) (or @t59 @t54 @t49 @t44) (or @t75 @t54 @t34 @t14) @t87 (or @t74 @t53 @t33 @t13) (or @t57 @t52 @t47 @t42) (or @t73 @t52 @t32 @t12) (or @t40 @t35 @t30 @t25) (or @t71 @t50 @t30 @t10) (or @t39 @t34 @t29 @t24) (or @t70 @t49 @t29 @t9) (or @t38 @t33 @t28 @t23) (or @t69 @t48 @t28 @t8) @t86 (or @t68 @t47 @t27 @t7) (or @t20 @t15 @t10 @t5) @t85 @t84 (or @t64 @t44 @t24 @t4) (or @t18 @t13 @t8 @t3) (or @t63 @t43 @t23 @t3) (or @t17 @t12 @t7 @t2) (or @t62 @t42 @t22 @t2))) % 0.45/0.64 (assume @p3 (and (not (= @t78 @t56)) (not (= @t78 @t36)) (not (= @t78 @t16)) (not (= @t56 @t36)) (not (= @t56 @t16)) (not (= @t36 @t16)) (not (= @t72 @t51)) (not (= @t72 @t31)) (not (= @t72 @t11)) (not (= @t51 @t31)) (not (= @t51 @t11)) (not (= @t31 @t11)) (not (= @t67 @t46)) (not (= @t67 @t26)) (not (= @t67 @t6)) (not (= @t46 @t26)) (not (= @t46 @t6)) (not (= @t26 @t6)) (not (= @t61 @t41)) (not (= @t61 @t21)) (not (= @t61 @t1)) (not (= @t41 @t21)) (not (= @t41 @t1)) (not (= @t21 @t1)) (not (= @t78 @t72)) (not (= @t78 @t67)) (not (= @t78 @t61)) (not (= @t72 @t67)) (not (= @t72 @t61)) (not (= @t67 @t61)) (not (= @t56 @t51)) (not (= @t56 @t46)) (not (= @t56 @t41)) (not (= @t51 @t46)) (not (= @t51 @t41)) (not (= @t46 @t41)) (not (= @t36 @t31)) (not (= @t36 @t26)) (not (= @t36 @t21)) (not (= @t31 @t26)) (not (= @t31 @t21)) (not (= @t26 @t21)) (not (= @t16 @t11)) (not (= @t16 @t6)) (not (= @t16 @t1)) (not (= @t11 @t6)) (not (= @t11 @t1)) (not (= @t6 @t1)))) % 0.45/0.64 (assume @p4 (and @t102 @t100 @t98 @t96 @t94 @t92)) % 0.45/0.64 (assume @p5 (and (= @t134 tptp.e0) (= @t133 tptp.e1) (= @t132 tptp.e2) (= @t131 tptp.e3) (= @t130 tptp.e0) (= (tptp.op @t51 tptp.e1) tptp.e1) (= (tptp.op @t46 tptp.e1) tptp.e2) (= @t129 tptp.e3) (= @t128 tptp.e0) (= (tptp.op @t31 tptp.e2) tptp.e1) (= (tptp.op @t26 tptp.e2) tptp.e2) (= @t127 tptp.e3) (= @t126 tptp.e0) (= (tptp.op @t11 tptp.e3) tptp.e1) (= @t125 tptp.e2) (= @t124 tptp.e3) @t123)) % 0.45/0.64 (assume @p6 (not (and @t137 @t135))) % 0.45/0.64 (assume @p7 (not (and (= tptp.e0 @t138) (= tptp.e2 @t11)))) % 0.45/0.64 (assume @p8 (not (and (= tptp.e0 @t139) (= tptp.e3 @t46)))) % 0.45/0.64 (assume @p9 (not (and @t142 @t140))) % 0.45/0.64 (assume @p10 (not (and (= tptp.e0 @t144) @t143))) % 0.45/0.64 (assume @p11 (not (and (= tptp.e0 @t145) (= tptp.e1 @t21)))) % 0.45/0.64 (assume @p12 (not (and (= tptp.e1 @t147) @t146))) % 0.45/0.64 (assume @p13 (not (and (= tptp.e1 @t149) @t148))) % 0.45/0.64 (assume @p14 (not (and @t152 @t150))) % 0.45/0.64 (assume @p15 (not (and (= tptp.e1 @t141) (= tptp.e0 @t6)))) % 0.45/0.64 (assume @p16 (not (and (= tptp.e1 @t154) @t153))) % 0.45/0.64 (assume @p17 (not (and @t156 @t155))) % 0.45/0.64 (assume @p18 (not (and (= tptp.e2 @t157) (= tptp.e3 @t56)))) % 0.45/0.64 (assume @p19 (not (and (= tptp.e2 @t149) @t158))) % 0.45/0.64 (assume @p20 (not (and (= tptp.e2 @t160) @t159))) % 0.45/0.64 (assume @p21 (not (and (= tptp.e2 @t138) (= tptp.e0 @t11)))) % 0.45/0.64 (assume @p22 (not (and (= tptp.e2 @t154) @t161))) % 0.45/0.64 (assume @p23 (not (and @t163 @t162))) % 0.45/0.64 (assume @p24 (not (and (= tptp.e3 @t157) @t164))) % 0.45/0.64 (assume @p25 (not (and (= tptp.e3 @t147) (= tptp.e1 @t36)))) % 0.45/0.64 (assume @p26 (not (and @t166 @t165))) % 0.45/0.64 (assume @p27 (not (and (= tptp.e3 @t136) @t167))) % 0.45/0.64 (assume @p28 (not (and (= tptp.e3 @t151) @t168))) % 0.45/0.64 (assume @p29 (not (and @t170 @t169))) % 0.45/0.64 (step @p30 :rule and_elim :premises (@p5) :args (12)) % 0.45/0.64 (step @p31 :rule symm :premises (@p30)) % 0.45/0.64 (step @p32 :rule and_elim :premises (@p5) :args (1)) % 0.45/0.64 (step @p33 :rule symm :premises (@p32)) % 0.45/0.64 (step @p34 :rule and_elim :premises (@p5) :args (7)) % 0.45/0.64 (step @p35 :rule symm :premises (@p34)) % 0.45/0.64 (assume-push @p2269 @t162) % 0.45/0.64 (assume-push @p2270 @t171) % 0.45/0.64 (assume-push @p2271 @t172) % 0.45/0.64 (assume-push @p2272 @t171) % 0.45/0.64 (assume-push @p2273 @t162) % 0.45/0.64 (assume-push @p2274 @t172) % 0.45/0.64 (step @p42 :rule refl :args (tptp.e0)) % 0.45/0.64 (step @p43 :rule refl :args (tptp.e1)) % 0.45/0.64 (step @p44 :rule cong :premises (@p2269 @p43) :args (@t72)) % 0.45/0.64 (step @p45 :rule trans :premises (@p44 @p34)) % 0.45/0.64 (step @p46 :rule cong :premises (@p45 @p42) :args (@t133)) % 0.45/0.64 (step @p47 :rule trans :premises (@p33 @p46)) % 0.45/0.64 (step-pop @p2275 :rule scope :premises (@p47)) % 0.45/0.64 (step-pop @p2276 :rule scope :premises (@p2275)) % 0.45/0.64 (step-pop @p2277 :rule scope :premises (@p2276)) % 0.45/0.64 (step @p48 :rule process_scope :premises (@p2277) :args (@t158)) % 0.45/0.64 (step @p52 :rule and_intro :premises (@p35 @p2269 @p33)) % 0.45/0.64 (step @p53 :rule modus_ponens :premises (@p52 @p48)) % 0.45/0.64 (step-pop @p2278 :rule scope :premises (@p53)) % 0.45/0.64 (step-pop @p2279 :rule scope :premises (@p2278)) % 0.45/0.64 (step-pop @p2280 :rule scope :premises (@p2279)) % 0.45/0.64 (step @p54 :rule process_scope :premises (@p2280) :args (@t158)) % 0.45/0.64 (step @p58 :rule implies_elim :premises (@p54)) % 0.45/0.64 (step @p59 :rule cnf_and_neg :args (@t173)) % 0.45/0.64 (step @p60 :rule resolution :premises (@p59 @p58) :args (true @t173)) % 0.45/0.64 (step @p61 :rule reordering :premises (@p60) :args ((or @t158 @t176 @t175 @t174))) % 0.45/0.64 (step @p62 :rule and_elim :premises (@p3) :args (4)) % 0.45/0.64 (step @p63 :rule symm :premises (@p62)) % 0.45/0.64 (assume-push @p2281 @t158) % 0.45/0.64 (assume-push @p2282 @t172) % 0.45/0.64 (assume-push @p2283 @t177) % 0.45/0.64 (assume-push @p2284 @t158) % 0.45/0.64 (assume-push @p2285 @t177) % 0.45/0.64 (assume-push @p2286 @t172) % 0.45/0.64 (step @p42 :rule refl :args (tptp.e0)) % 0.45/0.64 (step @p70 :rule symm :premises (@p2281)) % 0.45/0.64 (step @p71 :rule symm :premises (@p2283)) % 0.45/0.64 (step @p72 :rule cong :premises (@p42 @p2281) :args (@t72)) % 0.45/0.64 (step @p73 :rule trans :premises (@p72 @p71 @p70)) % 0.45/0.64 (step @p74 :rule cong :premises (@p73 @p42) :args (@t133)) % 0.45/0.64 (step @p75 :rule trans :premises (@p70 @p33 @p74)) % 0.45/0.64 (step-pop @p2287 :rule scope :premises (@p75)) % 0.45/0.64 (step-pop @p2288 :rule scope :premises (@p2287)) % 0.45/0.64 (step-pop @p2289 :rule scope :premises (@p2288)) % 0.45/0.64 (step @p76 :rule process_scope :premises (@p2289) :args (@t178)) % 0.45/0.64 (step @p80 :rule and_intro :premises (@p2281 @p2283 @p33)) % 0.45/0.64 (step @p81 :rule modus_ponens :premises (@p80 @p76)) % 0.45/0.64 (step-pop @p2290 :rule scope :premises (@p81)) % 0.45/0.64 (step-pop @p2291 :rule scope :premises (@p2290)) % 0.45/0.64 (step-pop @p2292 :rule scope :premises (@p2291)) % 0.45/0.64 (step @p82 :rule process_scope :premises (@p2292) :args (@t178)) % 0.45/0.64 (step @p86 :rule implies_elim :premises (@p82)) % 0.45/0.64 (step @p87 :rule cnf_and_neg :args (@t179)) % 0.45/0.64 (step @p88 :rule resolution :premises (@p87 @p86) :args (true @t179)) % 0.45/0.64 (step @p89 :rule reordering :premises (@p88) :args ((or @t178 @t181 @t175 @t180))) % 0.45/0.64 (step @p90 :rule cnf_and_pos :args (@t184 3)) % 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0.45/0.65 (step @p530 :rule evaluate :args (@t255)) % 0.45/0.65 (step @p2119 :rule symm :premises (@p3093)) % 0.45/0.65 (step @p2120 :rule trans :premises (@p2119 @p475)) % 0.45/0.65 (step @p2121 :rule symm :premises (@p2120)) % 0.45/0.65 (step @p2122 :rule symm :premises (@p3092)) % 0.45/0.65 (step @p2123 :rule trans :premises (@p2122 @p475 @p2121)) % 0.45/0.65 (step @p2124 :rule true_intro :premises (@p2123)) % 0.45/0.65 (step @p2125 :rule false_intro :premises (@p2111)) % 0.45/0.65 (step @p2126 :rule symm :premises (@p2125)) % 0.45/0.65 (step @p2127 :rule trans :premises (@p2126 @p2124)) % 0.45/0.65 (step @p2128 false :rule eq_resolve :premises (@p2127 @p530)) % 0.45/0.65 (step-pop @p3095 :rule scope :premises (@p2128)) % 0.45/0.65 (step-pop @p3096 :rule scope :premises (@p3095)) % 0.45/0.65 (step-pop @p3097 :rule scope :premises (@p3096)) % 0.45/0.65 (step-pop @p3098 :rule scope :premises (@p3097)) % 0.45/0.65 (step @p2129 :rule process_scope :premises (@p3098) :args (false)) % 0.45/0.65 (assume-push @p3099 @t368) % 0.45/0.65 (assume-push @p3100 @t221) % 0.45/0.65 (assume-push @p3101 @t245) % 0.45/0.65 (assume-push @p3102 @t226) % 0.45/0.65 (assume-push @p3103 @t285) % 0.45/0.65 (assume-push @p3104 @t285) % 0.45/0.65 (assume-push @p3105 @t221) % 0.45/0.65 (step @p279 :rule refl :args (tptp.e3)) % 0.45/0.65 (step @p1429 :rule symm :premises (@p3103)) % 0.45/0.65 (step @p1430 :rule cong :premises (@p1429 @p279) :args (@t124)) % 0.45/0.65 (step @p1431 :rule trans :premises (@p335 @p1430)) % 0.45/0.65 (step-pop @p3106 :rule scope :premises (@p1431)) % 0.45/0.65 (step-pop @p3107 :rule scope :premises (@p3106)) % 0.45/0.65 (step @p2141 :rule process_scope :premises (@p3107) :args (@t324)) % 0.45/0.65 (step @p2144 :rule and_intro :premises (@p3103 @p335)) % 0.45/0.65 (step @p2145 :rule modus_ponens :premises (@p2144 @p2141)) % 0.45/0.65 (step @p2146 :rule and_intro :premises (@p475 @p2145 @p3102 @p2111)) % 0.45/0.65 (step-pop @p3108 :rule scope :premises (@p2146)) % 0.45/0.65 (step-pop @p3109 :rule scope :premises (@p3108)) % 0.45/0.65 (step-pop @p3110 :rule scope :premises (@p3109)) % 0.45/0.65 (step-pop @p3111 :rule scope :premises (@p3110)) % 0.45/0.65 (step-pop @p3112 :rule scope :premises (@p3111)) % 0.45/0.65 (step @p2147 :rule process_scope :premises (@p3112) :args (@t369)) % 0.45/0.65 (step @p2153 :rule implies_elim :premises (@p2147)) % 0.45/0.65 (step @p2154 :rule resolution :premises (@p2153 @p2129) :args (true @t369)) % 0.45/0.65 (step @p2155 :rule not_and :premises (@p2154)) % 0.45/0.65 (step @p2156 :rule eq_resolve :premises (@p2155 @p2114)) % 0.45/0.65 (step @p2157 :rule reordering :premises (@p2156) :args ((or @t367 @t366 @t315 @t246 @t222))) % 0.45/0.65 (step @p2158 :rule chain_m_resolution :premises (@p2157 @p335 @p475 @p2111 @p2109 @p2104 @p179 @p140 @p138 @p2102 @p140 @p331 @p2072 @p1541 @p335 @p35 @p1106 @p1469 @p407 @p1447 @p335 @p1410) :args (@t315 (@list false false true false true true false true false false false true true false false true true true true false true) (@list @t221 @t245 @t367 @t226 @t150 @t191 @t193 @t195 @t152 @t193 @t155 @t219 @t159 @t221 @t171 @t308 @t218 @t101 @t162 @t221 @t97))) % 0.45/0.65 (step @p2159 :rule nary_cong :premises (@p1706 @p336 @p1234 @p226) :args ((or @t349 @t220 @t316 @t208))) % 0.45/0.65 (assume-push @p3113 @t210) % 0.45/0.65 (assume-push @p3114 @t218) % 0.45/0.65 (assume-push @p3115 @t315) % 0.45/0.65 (assume-push @p3116 @t315) % 0.45/0.65 (assume-push @p3117 @t218) % 0.45/0.65 (assume-push @p3118 @t210) % 0.45/0.65 (step @p2166 :rule false_intro :premises (@p3115)) % 0.45/0.65 (step @p2167 :rule symm :premises (@p3113)) % 0.45/0.65 (step @p2168 :rule trans :premises (@p2167 @p3114)) % 0.45/0.65 (step @p43 :rule refl :args (tptp.e1)) % 0.45/0.65 (step @p2169 :rule cong :premises (@p43 @p2168) :args (@t207)) % 0.45/0.65 (step @p2170 :rule trans :premises (@p2169 @p2166)) % 0.45/0.65 (step @p2171 :rule false_elim :premises (@p2170)) % 0.45/0.65 (step-pop @p3119 :rule scope :premises (@p2171)) % 0.45/0.65 (step-pop @p3120 :rule scope :premises (@p3119)) % 0.45/0.65 (step-pop @p3121 :rule scope :premises (@p3120)) % 0.45/0.65 (step @p2172 :rule process_scope :premises (@p3121) :args (@t208)) % 0.45/0.65 (step @p2176 :rule and_intro :premises (@p3115 @p3114 @p3113)) % 0.45/0.65 (step @p2177 :rule modus_ponens :premises (@p2176 @p2172)) % 0.45/0.65 (step-pop @p3122 :rule scope :premises (@p2177)) % 0.45/0.65 (step-pop @p3123 :rule scope :premises (@p3122)) % 0.45/0.65 (step-pop @p3124 :rule scope :premises (@p3123)) % 0.45/0.65 (step @p2178 :rule process_scope :premises (@p3124) :args (@t208)) % 0.45/0.65 (step @p2182 :rule implies_elim :premises (@p2178)) % 0.45/0.65 (step @p2183 :rule cnf_and_neg :args (@t370)) % 0.45/0.65 (step @p2184 :rule resolution :premises (@p2183 @p2182) :args (true @t370)) % 0.45/0.65 (step @p2185 :rule eq_resolve :premises (@p2184 @p2159)) % 0.45/0.65 (step @p2186 :rule reordering :premises (@p2185) :args ((or @t285 @t349 @t208 @t220))) % 0.45/0.65 (step @p2187 :rule chain_m_resolution :premises (@p1179 @p663 @p33 @p1147 @p807 @p2158 @p1145 @p33 @p1106) :args ((or @t158 @t307) (@list false false true false true true false true) (@list @t269 @t172 @t142 @t140 @t285 @t286 @t172 @t308))) % 0.45/0.65 (step @p2188 :rule not_and :premises (@p26)) % 0.45/0.65 (step @p2189 :rule reordering :premises (@p2188) :args ((or @t186 @t371))) % 0.45/0.65 (step @p2190 :rule refl :args (@t277)) % 0.45/0.65 (step @p2191 :rule nary_cong :premises (@p1073 @p338 @p665 @p185 @p1706 @p2112 @p2190) :args ((or @t303 @t225 @t270 @t202 @t349 @t366 @t277))) % 0.45/0.65 (assume-push @p3125 @t168) % 0.45/0.65 (assume-push @p3126 @t224) % 0.45/0.65 (assume-push @p3127 @t269) % 0.45/0.65 (assume-push @p3128 @t201) % 0.45/0.65 (assume-push @p3129 @t210) % 0.45/0.65 (assume-push @p3130 @t226) % 0.45/0.65 (assume-push @p3131 @t224) % 0.45/0.65 (assume-push @p3132 @t226) % 0.45/0.65 (assume-push @p3133 @t210) % 0.45/0.65 (assume-push @p3134 @t167) % 0.45/0.65 (step @p345 :rule false_intro :premises (@p333)) % 0.45/0.65 (step @p2202 :rule symm :premises (@p3134)) % 0.45/0.65 (step @p2203 :rule trans :premises (@p2202 @p3129)) % 0.45/0.65 (step @p2204 :rule cong :premises (@p3130 @p2203) :args (@t135)) % 0.45/0.65 (step @p2205 :rule trans :premises (@p2204 @p345)) % 0.45/0.65 (step @p2206 :rule false_elim :premises (@p2205)) % 0.45/0.65 (step-pop @p3135 :rule scope :premises (@p2206)) % 0.45/0.65 (step-pop @p3136 :rule scope :premises (@p3135)) % 0.45/0.65 (step-pop @p3137 :rule scope :premises (@p3136)) % 0.45/0.65 (step-pop @p3138 :rule scope :premises (@p3137)) % 0.45/0.65 (step @p2207 :rule process_scope :premises (@p3138) :args (@t277)) % 0.45/0.65 (assume-push @p3139 @t201) % 0.45/0.65 (assume-push @p3140 @t168) % 0.45/0.65 (assume-push @p3141 @t269) % 0.45/0.65 (step @p43 :rule refl :args (tptp.e1)) % 0.45/0.65 (step @p42 :rule refl :args (tptp.e0)) % 0.45/0.65 (step @p2215 :rule cong :premises (@p3125 @p42) :args (@t56)) % 0.45/0.65 (step @p2216 :rule trans :premises (@p2215 @p182)) % 0.45/0.65 (step @p2217 :rule cong :premises (@p2216 @p43) :args (@t130)) % 0.45/0.65 (step @p2218 :rule trans :premises (@p663 @p2217)) % 0.45/0.65 (step-pop @p3142 :rule scope :premises (@p2218)) % 0.45/0.65 (step-pop @p3143 :rule scope :premises (@p3142)) % 0.45/0.65 (step-pop @p3144 :rule scope :premises (@p3143)) % 0.45/0.65 (step @p2219 :rule process_scope :premises (@p3144) :args (@t167)) % 0.45/0.65 (step @p2223 :rule and_intro :premises (@p183 @p3125 @p663)) % 0.45/0.65 (step @p2224 :rule modus_ponens :premises (@p2223 @p2219)) % 0.45/0.65 (step @p2225 :rule and_intro :premises (@p333 @p3130 @p3129 @p2224)) % 0.45/0.65 (step @p2226 :rule modus_ponens :premises (@p2225 @p2207)) % 0.45/0.65 (step-pop @p3145 :rule scope :premises (@p2226)) % 0.45/0.65 (step-pop @p3146 :rule scope :premises (@p3145)) % 0.45/0.65 (step-pop @p3147 :rule scope :premises (@p3146)) % 0.45/0.65 (step-pop @p3148 :rule scope :premises (@p3147)) % 0.45/0.65 (step-pop @p3149 :rule scope :premises (@p3148)) % 0.45/0.65 (step-pop @p3150 :rule scope :premises (@p3149)) % 0.45/0.65 (step @p2227 :rule process_scope :premises (@p3150) :args (@t277)) % 0.45/0.65 (step @p2234 :rule implies_elim :premises (@p2227)) % 0.45/0.65 (step @p2235 :rule cnf_and_neg :args (@t372)) % 0.45/0.65 (step @p2236 :rule resolution :premises (@p2235 @p2234) :args (true @t372)) % 0.45/0.65 (step @p2237 :rule eq_resolve :premises (@p2236 @p2191)) % 0.45/0.65 (step @p2238 :rule reordering :premises (@p2237) :args ((or @t223 @t349 @t303 @t366 @t277 @t202 @t270))) % 0.45/0.65 (step @p2239 :rule bool-double-not-elim :args (@t166)) % 0.45/0.65 (step @p2240 :rule nary_cong :premises (@p93 @p2239 @p572) :args ((or @t186 (not @t371) @t258))) % 0.45/0.65 (assume-push @p3151 @t165) % 0.45/0.65 (assume-push @p3152 @t371) % 0.45/0.65 (assume-push @p3153 @t371) % 0.45/0.65 (assume-push @p3154 @t165) % 0.45/0.65 (step @p2245 :rule false_intro :premises (@p3152)) % 0.45/0.65 (step @p2246 :rule cong :premises (@p3151 @p3151) :args (@t26)) % 0.45/0.65 (step @p279 :rule refl :args (tptp.e3)) % 0.45/0.65 (step @p2247 :rule cong :premises (@p279 @p2246) :args (@t257)) % 0.45/0.65 (step @p2248 :rule trans :premises (@p2247 @p2245)) % 0.45/0.65 (step @p2249 :rule false_elim :premises (@p2248)) % 0.45/0.65 (step-pop @p3155 :rule scope :premises (@p2249)) % 0.45/0.65 (step-pop @p3156 :rule scope :premises (@p3155)) % 0.45/0.65 (step @p2250 :rule process_scope :premises (@p3156) :args (@t258)) % 0.45/0.65 (step @p2253 :rule and_intro :premises (@p3152 @p3151)) % 0.45/0.65 (step @p2254 :rule modus_ponens :premises (@p2253 @p2250)) % 0.45/0.65 (step-pop @p3157 :rule scope :premises (@p2254)) % 0.45/0.65 (step-pop @p3158 :rule scope :premises (@p3157)) % 0.45/0.65 (step @p2255 :rule process_scope :premises (@p3158) :args (@t258)) % 0.45/0.65 (step @p2258 :rule implies_elim :premises (@p2255)) % 0.45/0.65 (step @p2259 :rule cnf_and_neg :args (@t373)) % 0.45/0.65 (step @p2260 :rule resolution :premises (@p2259 @p2258) :args (true @t373)) % 0.45/0.65 (step @p2261 :rule eq_resolve :premises (@p2260 @p2240)) % 0.45/0.65 (step @p2262 :rule reordering :premises (@p2261) :args ((or @t166 @t186 @t258))) % 0.45/0.65 (step @p2263 :rule chain_m_resolution :premises (@p738 @p2262 @p2238 @p1704 @p663 @p183 @p333 @p2189 @p836 @p1097 @p1072 @p1104 @p2187 @p2186 @p2158 @p1704 @p2077 @p2072 @p1328 @p335 @p889 @p404 @p335 @p92 @p520 @p335 @p475 @p477 @p569 @p335 @p475 @p522 @p1375 @p335 @p475 @p33 @p889 @p331 @p2072 @p2031 @p1836) :args (@t199 (@list true true false false false true true false true true false true true true false false true true false true true false true true false false true true false false true true false false false true false true true true) (@list @t257 @t135 @t210 @t269 @t201 @t223 @t166 @t165 @t259 @t95 @t168 @t306 @t207 @t285 @t210 @t226 @t219 @t161 @t221 @t93 @t153 @t221 @t91 @t146 @t221 @t245 @t247 @t251 @t221 @t245 @t253 @t158 @t221 @t245 @t172 @t93 @t218 @t219 @t155 @t162))) % 0.45/0.65 (step @p2264 :rule chain_m_resolution :premises (@p1329 @p2031 @p2158 @p2263) :args (@t158 (@list true true false) (@list @t155 @t285 @t199))) % 0.45/0.65 (step @p2265 :rule chain_m_resolution :premises (@p1406 @p2263 @p2264 @p31) :args (@t163 (@list false false false) (@list @t199 @t158 @t211))) % 0.45/0.65 (step @p2266 :rule chain_m_resolution :premises (@p1375 @p889 @p2264 @p33 @p475 @p335) :args (@t220 (@list true false false false false) (@list @t93 @t158 @t172 @t245 @t221))) % 0.45/0.65 (step @p2267 :rule chain_m_resolution :premises (@p331 @p2031 @p2072 @p2266) :args (@t162 (@list true true true) (@list @t155 @t219 @t218))) % 0.45/0.65 (step @p2268 false :rule chain_m_resolution :premises (@p1408 @p2267 @p2265) :args (false (@list false false) (@list @t162 @t163))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------