%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL156-1 : TPTP v9.3.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:16 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.84s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL156-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.38 % Computer : n005.cluster.edu % 0.10/0.38 % Model : x86_64 x86_64 % 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.38 % Memory : 8046.5625MB % 0.10/0.38 % OS : Linux 6.8.0-71-generic % 0.10/0.38 % CPULimit : 300 % 0.10/0.38 % WCLimit : 300 % 0.10/0.38 % DateTime : Sat Sep 5 12:07:20 UTC 2026 % 0.10/0.38 % CPUTime : % 0.10/0.45 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.84 % SZS status Unsatisfiable % 0.53/0.84 % SZS output start Proof % 0.53/0.87 ( % 0.53/0.87 (declare-sort $$unsorted 0) % 0.53/0.87 (declare-const tptp.falsehood $$unsorted) % 0.53/0.87 (declare-const tptp.and_star (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.87 (declare-const tptp.x $$unsorted) % 0.53/0.87 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.87 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.87 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.53/0.87 (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.87 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.87 (declare-const tptp.truth $$unsorted) % 0.53/0.87 (define @t1 () (@var "X" $$unsorted)) % 0.53/0.87 (define @t2 () (tptp.implies tptp.truth @t1)) % 0.53/0.87 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 0.53/0.87 (define @t4 () (@var "Z" $$unsorted)) % 0.53/0.87 (define @t5 () (@var "Y" $$unsorted)) % 0.53/0.87 (define @t6 () (tptp.implies @t1 @t5)) % 0.53/0.87 (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4)))) % 0.53/0.87 (define @t8 () (@list @t1 @t5 @t4)) % 0.53/0.87 (define @t9 () (forall @t8 (= @t7 tptp.truth))) % 0.53/0.87 (define @t10 () (tptp.implies @t5 @t1)) % 0.53/0.87 (define @t11 () (@list @t1 @t5)) % 0.53/0.87 (define @t12 () (tptp.not @t5)) % 0.53/0.87 (define @t13 () (tptp.not @t1)) % 0.53/0.87 (define @t14 () (tptp.implies (tptp.implies @t13 @t12) @t10)) % 0.53/0.87 (define @t15 () (forall @t11 (= @t14 tptp.truth))) % 0.53/0.87 (define @t16 () (tptp.or @t1 @t5)) % 0.53/0.87 (define @t17 () (forall @t11 (= @t16 (tptp.implies @t13 @t5)))) % 0.53/0.87 (define @t18 () (tptp.not (tptp.or @t13 @t12))) % 0.53/0.87 (define @t19 () (tptp.and @t1 @t5)) % 0.53/0.87 (define @t20 () (forall @t11 (= @t19 @t18))) % 0.53/0.87 (define @t21 () (forall @t11 (= @t19 (tptp.and @t5 @t1)))) % 0.53/0.87 (define @t22 () (tptp.xor @t1 @t5)) % 0.53/0.87 (define @t23 () (tptp.and_star @t1 @t5)) % 0.53/0.87 (define @t24 () (forall @t11 (= @t23 @t18))) % 0.53/0.87 (define @t25 () (tptp.not tptp.truth)) % 0.53/0.87 (define @t26 () (tptp.and_star tptp.x tptp.truth)) % 0.53/0.87 (define @t27 () (tptp.not tptp.x)) % 0.53/0.87 (define @t28 () (tptp.or @t27 @t25)) % 0.53/0.87 (define @t29 () (tptp.not @t28)) % 0.53/0.87 (define @t30 () (forall @t11 (= @t18 @t23))) % 0.53/0.87 (define @t31 () (= @t29 @t26)) % 0.53/0.87 (define @t32 () (@list tptp.x tptp.truth)) % 0.53/0.87 (define @t33 () (= @t26 @t29)) % 0.53/0.87 (define @t34 () (@list false)) % 0.53/0.87 (define @t35 () (@list @t27 @t25)) % 0.53/0.87 (define @t36 () (tptp.and tptp.x tptp.truth)) % 0.53/0.87 (define @t37 () (= @t36 @t29)) % 0.53/0.87 (define @t38 () (= @t29 @t36)) % 0.53/0.87 (define @t39 () (@list @t20)) % 0.53/0.87 (define @t40 () (tptp.and tptp.truth tptp.x)) % 0.53/0.87 (define @t41 () (tptp.or @t25 @t27)) % 0.53/0.87 (define @t42 () (tptp.not @t41)) % 0.53/0.87 (define @t43 () (= @t40 @t42)) % 0.53/0.87 (define @t44 () (@list tptp.truth tptp.x)) % 0.53/0.87 (define @t45 () (= @t42 @t40)) % 0.53/0.87 (define @t46 () (tptp.not @t25)) % 0.53/0.87 (define @t47 () (tptp.implies tptp.truth @t46)) % 0.53/0.87 (define @t48 () (tptp.and @t25 tptp.truth)) % 0.53/0.87 (define @t49 () (tptp.and tptp.truth @t25)) % 0.53/0.87 (define @t50 () (tptp.or @t28 @t29)) % 0.53/0.87 (define @t51 () (tptp.implies @t29 @t29)) % 0.53/0.87 (define @t52 () (= @t50 @t51)) % 0.53/0.87 (define @t53 () (@list @t28 @t29)) % 0.53/0.87 (define @t54 () (= @t51 @t50)) % 0.53/0.87 (define @t55 () (@list @t17)) % 0.53/0.87 (define @t56 () (tptp.or @t25 @t46)) % 0.53/0.87 (define @t57 () (tptp.implies @t46 @t46)) % 0.53/0.87 (define @t58 () (= @t56 @t57)) % 0.53/0.87 (define @t59 () (@list @t25 @t46)) % 0.53/0.87 (define @t60 () (= @t57 @t56)) % 0.53/0.87 (define @t61 () (@list tptp.truth @t25)) % 0.53/0.87 (define @t62 () (@list tptp.x @t27)) % 0.53/0.87 (define @t63 () (tptp.not @t27)) % 0.53/0.87 (define @t64 () (@list @t27 @t63)) % 0.53/0.87 (define @t65 () (@list @t46 @t25)) % 0.53/0.87 (define @t66 () (tptp.and @t29 @t28)) % 0.53/0.87 (define @t67 () (tptp.and @t28 @t29)) % 0.53/0.87 (define @t68 () (= @t66 @t67)) % 0.53/0.87 (define @t69 () (@list @t29 @t28)) % 0.53/0.87 (define @t70 () (= @t67 @t66)) % 0.53/0.87 (define @t71 () (@list @t21)) % 0.53/0.87 (define @t72 () (tptp.implies @t63 @t25)) % 0.53/0.87 (define @t73 () (tptp.implies @t25 @t25)) % 0.53/0.87 (define @t74 () (tptp.or @t46 @t25)) % 0.53/0.87 (define @t75 () (tptp.or tptp.x @t25)) % 0.53/0.87 (define @t76 () (tptp.implies @t27 @t25)) % 0.53/0.87 (define @t77 () (= @t75 @t76)) % 0.53/0.87 (define @t78 () (@list tptp.x @t25)) % 0.53/0.87 (define @t79 () (= @t76 @t75)) % 0.53/0.87 (define @t80 () (tptp.or @t27 @t29)) % 0.53/0.87 (define @t81 () (tptp.implies @t63 @t29)) % 0.53/0.87 (define @t82 () (= @t80 @t81)) % 0.53/0.87 (define @t83 () (= @t81 @t80)) % 0.53/0.87 (define @t84 () (@list tptp.truth @t27)) % 0.53/0.87 (define @t85 () (tptp.and tptp.x @t28)) % 0.53/0.87 (define @t86 () (tptp.and @t28 tptp.truth)) % 0.53/0.87 (define @t87 () (@list @t74 @t74)) % 0.53/0.87 (define @t88 () (tptp.and tptp.truth @t27)) % 0.53/0.87 (define @t89 () (tptp.and @t27 tptp.truth)) % 0.53/0.87 (define @t90 () (= @t88 @t89)) % 0.53/0.87 (define @t91 () (= @t89 @t88)) % 0.53/0.87 (define @t92 () (tptp.and tptp.x @t27)) % 0.53/0.87 (define @t93 () (tptp.not @t92)) % 0.53/0.87 (define @t94 () (tptp.not @t63)) % 0.53/0.87 (define @t95 () (@list @t25 @t29)) % 0.53/0.87 (define @t96 () (tptp.not @t85)) % 0.53/0.87 (define @t97 () (tptp.or @t27 @t63)) % 0.53/0.87 (define @t98 () (tptp.or @t97 @t25)) % 0.53/0.87 (define @t99 () (tptp.not @t97)) % 0.53/0.87 (define @t100 () (tptp.implies @t99 @t25)) % 0.53/0.87 (define @t101 () (= @t98 @t100)) % 0.53/0.87 (define @t102 () (= @t100 @t98)) % 0.53/0.87 (define @t103 () (tptp.not @t86)) % 0.53/0.87 (define @t104 () (tptp.or @t103 @t27)) % 0.53/0.87 (define @t105 () (@list @t97 @t99)) % 0.53/0.87 (define @t106 () (tptp.not @t29)) % 0.53/0.87 (define @t107 () (= @t28 @t72)) % 0.53/0.87 (define @t108 () (= @t28 @t41)) % 0.53/0.87 (define @t109 () (tptp.implies tptp.truth @t27)) % 0.53/0.87 (define @t110 () (tptp.implies @t72 @t109)) % 0.53/0.87 (define @t111 () (= tptp.truth @t110)) % 0.53/0.87 (define @t112 () (tptp.implies @t46 @t27)) % 0.53/0.87 (define @t113 () (= @t41 @t112)) % 0.53/0.87 (define @t114 () (= @t27 @t109)) % 0.53/0.87 (define @t115 () (= tptp.truth (tptp.implies @t47 (tptp.implies @t112 @t109)))) % 0.53/0.87 (define @t116 () (tptp.implies @t57 @t73)) % 0.53/0.87 (define @t117 () (= tptp.truth @t116)) % 0.53/0.87 (define @t118 () (= tptp.truth (tptp.implies tptp.truth tptp.truth))) % 0.53/0.87 (define @t119 () (= @t46 @t47)) % 0.53/0.87 (define @t120 () (tptp.implies @t47 tptp.truth)) % 0.53/0.87 (define @t121 () (tptp.implies @t120 tptp.truth)) % 0.53/0.87 (define @t122 () (= @t121 (tptp.implies (tptp.implies tptp.truth @t47) @t47))) % 0.53/0.87 (define @t123 () (tptp.not @t49)) % 0.53/0.87 (define @t124 () (tptp.implies @t123 @t48)) % 0.53/0.87 (define @t125 () (= (tptp.or @t49 @t48) @t124)) % 0.53/0.87 (define @t126 () (tptp.not @t56)) % 0.53/0.87 (define @t127 () (= @t49 @t126)) % 0.53/0.87 (define @t128 () (tptp.not @t74)) % 0.53/0.87 (define @t129 () (= @t48 @t128)) % 0.53/0.87 (define @t130 () (= @t92 @t99)) % 0.53/0.87 (define @t131 () (tptp.or @t63 @t27)) % 0.53/0.87 (define @t132 () (tptp.not @t131)) % 0.53/0.87 (define @t133 () (tptp.and @t27 tptp.x)) % 0.53/0.87 (define @t134 () (= @t133 @t132)) % 0.53/0.87 (define @t135 () (tptp.not (tptp.or @t63 @t94))) % 0.53/0.87 (define @t136 () (tptp.and @t27 @t63)) % 0.53/0.87 (define @t137 () (= @t136 @t135)) % 0.53/0.87 (define @t138 () (tptp.not @t46)) % 0.53/0.87 (define @t139 () (tptp.not (tptp.or @t138 @t46))) % 0.53/0.87 (define @t140 () (tptp.and @t46 @t25)) % 0.53/0.87 (define @t141 () (= @t140 @t139)) % 0.53/0.87 (define @t142 () (tptp.and tptp.truth @t85)) % 0.53/0.87 (define @t143 () (= (tptp.and @t40 @t28) @t142)) % 0.53/0.87 (define @t144 () (tptp.and @t28 @t40)) % 0.53/0.87 (define @t145 () (tptp.and @t86 tptp.x)) % 0.53/0.87 (define @t146 () (= @t145 @t144)) % 0.53/0.87 (define @t147 () (= @t49 @t48)) % 0.53/0.87 (define @t148 () (tptp.and @t25 @t46)) % 0.53/0.87 (define @t149 () (= @t148 @t140)) % 0.53/0.87 (define @t150 () (= @t92 @t133)) % 0.53/0.87 (define @t151 () (tptp.implies tptp.truth tptp.x)) % 0.53/0.87 (define @t152 () (= tptp.x @t151)) % 0.53/0.87 (define @t153 () (tptp.implies tptp.truth @t72)) % 0.53/0.87 (define @t154 () (= @t72 @t153)) % 0.53/0.87 (define @t155 () (= @t73 (tptp.implies tptp.truth @t73))) % 0.53/0.87 (define @t156 () (tptp.implies @t138 @t128)) % 0.53/0.87 (define @t157 () (= tptp.truth (tptp.implies @t156 (tptp.implies @t74 @t46)))) % 0.53/0.87 (define @t158 () (tptp.implies @t94 @t27)) % 0.53/0.87 (define @t159 () (= @t131 @t158)) % 0.53/0.87 (define @t160 () (= @t74 (tptp.implies @t138 @t25))) % 0.53/0.87 (define @t161 () (= @t56 @t74)) % 0.53/0.87 (define @t162 () (= @t97 @t131)) % 0.53/0.87 (define @t163 () (tptp.or @t25 @t63)) % 0.53/0.87 (define @t164 () (tptp.not @t163)) % 0.53/0.87 (define @t165 () (= @t88 @t164)) % 0.53/0.87 (define @t166 () (tptp.or @t25 @t96)) % 0.53/0.87 (define @t167 () (tptp.not @t166)) % 0.53/0.87 (define @t168 () (= @t142 @t167)) % 0.53/0.87 (define @t169 () (tptp.not @t104)) % 0.53/0.87 (define @t170 () (= @t145 @t169)) % 0.53/0.87 (define @t171 () (tptp.or @t128 @t128)) % 0.53/0.87 (define @t172 () (tptp.not @t171)) % 0.53/0.87 (define @t173 () (= (tptp.and @t74 @t74) @t172)) % 0.53/0.87 (define @t174 () (tptp.and @t28 @t36)) % 0.53/0.87 (define @t175 () (= (tptp.and (tptp.and @t28 tptp.x) tptp.truth) @t174)) % 0.53/0.87 (define @t176 () (tptp.and_star @t74 @t74)) % 0.53/0.87 (define @t177 () (= @t172 @t176)) % 0.53/0.87 (define @t178 () (tptp.or @t128 @t46)) % 0.53/0.87 (define @t179 () (tptp.not @t178)) % 0.53/0.87 (define @t180 () (= @t179 (tptp.and_star @t74 @t25))) % 0.53/0.87 (define @t181 () (= @t48 (tptp.implies tptp.truth @t48))) % 0.53/0.87 (define @t182 () (tptp.implies tptp.truth @t93)) % 0.53/0.87 (define @t183 () (= @t93 @t182)) % 0.53/0.87 (define @t184 () (tptp.implies @t27 @t94)) % 0.53/0.87 (define @t185 () (tptp.implies @t184 @t94)) % 0.53/0.87 (define @t186 () (= (tptp.implies @t158 @t27) @t185)) % 0.53/0.87 (define @t187 () (tptp.implies @t46 @t29)) % 0.53/0.87 (define @t188 () (tptp.or @t25 @t29)) % 0.53/0.87 (define @t189 () (= @t188 @t187)) % 0.53/0.87 (define @t190 () (= @t166 (tptp.implies @t46 @t96))) % 0.53/0.87 (define @t191 () (tptp.or @t63 @t25)) % 0.53/0.87 (define @t192 () (= @t191 (tptp.implies @t94 @t25))) % 0.53/0.87 (define @t193 () (tptp.or @t25 tptp.x)) % 0.53/0.87 (define @t194 () (= @t193 (tptp.implies @t46 tptp.x))) % 0.53/0.87 (define @t195 () (tptp.or @t104 @t67)) % 0.53/0.87 (define @t196 () (= @t195 (tptp.implies @t169 @t67))) % 0.53/0.87 (define @t197 () (tptp.or @t63 @t28)) % 0.53/0.87 (define @t198 () (= (tptp.or @t131 @t25) @t197)) % 0.53/0.87 (define @t199 () (tptp.or @t103 @t28)) % 0.53/0.87 (define @t200 () (= (tptp.or @t104 @t25) @t199)) % 0.53/0.87 (define @t201 () (= @t188 (tptp.or @t29 @t25))) % 0.53/0.87 (define @t202 () (= @t75 @t193)) % 0.53/0.87 (define @t203 () (= @t104 (tptp.or @t27 @t103))) % 0.53/0.87 (define @t204 () (tptp.or @t25 @t106)) % 0.53/0.87 (define @t205 () (tptp.not @t204)) % 0.53/0.87 (define @t206 () (tptp.and tptp.truth @t29)) % 0.53/0.87 (define @t207 () (= @t206 @t205)) % 0.53/0.87 (define @t208 () (tptp.not (tptp.or @t106 @t25))) % 0.53/0.87 (define @t209 () (tptp.and @t29 tptp.truth)) % 0.53/0.87 (define @t210 () (= @t209 @t208)) % 0.53/0.87 (define @t211 () (tptp.not @t99)) % 0.53/0.87 (define @t212 () (tptp.not (tptp.or @t99 @t211))) % 0.53/0.87 (define @t213 () (tptp.and @t97 @t99)) % 0.53/0.87 (define @t214 () (= @t213 @t212)) % 0.53/0.87 (define @t215 () (tptp.not (tptp.or @t211 @t99))) % 0.53/0.87 (define @t216 () (tptp.and @t99 @t97)) % 0.53/0.87 (define @t217 () (= @t216 @t215)) % 0.53/0.87 (define @t218 () (tptp.and tptp.truth @t36)) % 0.53/0.87 (define @t219 () (= (tptp.and @t40 tptp.truth) @t218)) % 0.53/0.87 (define @t220 () (tptp.and tptp.truth tptp.truth)) % 0.53/0.87 (define @t221 () (tptp.and @t220 tptp.x)) % 0.53/0.87 (define @t222 () (= @t221 (tptp.and tptp.truth @t40))) % 0.53/0.87 (define @t223 () (= @t213 @t216)) % 0.53/0.87 (define @t224 () (tptp.and_star tptp.truth @t92)) % 0.53/0.87 (define @t225 () (= (tptp.not (tptp.or @t25 @t93)) @t224)) % 0.53/0.87 (define @t226 () (= @t29 (tptp.implies tptp.truth @t29))) % 0.53/0.87 (define @t227 () (tptp.implies tptp.truth @t94)) % 0.53/0.87 (define @t228 () (= @t94 @t227)) % 0.53/0.87 (define @t229 () (tptp.implies @t46 @t106)) % 0.53/0.87 (define @t230 () (= tptp.truth (tptp.implies @t229 (tptp.implies @t29 @t25)))) % 0.53/0.87 (define @t231 () (tptp.not @t106)) % 0.53/0.87 (define @t232 () (= tptp.truth (tptp.implies (tptp.implies @t231 @t169) (tptp.implies @t104 @t106)))) % 0.53/0.87 (define @t233 () (= @t204 @t229)) % 0.53/0.87 (define @t234 () (tptp.implies tptp.truth @t109)) % 0.53/0.87 (define @t235 () (tptp.implies @t110 @t234)) % 0.53/0.87 (define @t236 () (tptp.implies @t46 @t94)) % 0.53/0.87 (define @t237 () (tptp.not @t94)) % 0.53/0.87 (define @t238 () (tptp.or @t139 @t139)) % 0.53/0.87 (define @t239 () (tptp.or @t208 @t27)) % 0.53/0.87 (define @t240 () (tptp.not @t96)) % 0.53/0.87 (define @t241 () (tptp.implies @t92 @t25)) % 0.53/0.87 (define @t242 () (= tptp.x @t26)) % 0.53/0.87 (define @t243 () (and @t33 @t107 @t108 @t38 @t111 @t113 @t45 @t114 @t115 @t117 @t118 @t119 @t122 @t125 @t54 @t60 @t127 @t129 @t130 @t134 @t137 @t141 @t143 @t146 @t147 @t149 @t150 @t70 @t152 @t154 @t155 @t157 @t159 @t160 @t79 @t83 @t161 @t162 @t165 @t168 @t170 @t173 @t175 @t91 @t177 @t180 @t181 @t183 @t186 @t189 @t190 @t192 @t194 @t102 @t196 @t198 @t200 @t201 @t202 @t203 @t207 @t210 @t214 @t217 @t219 @t222 @t223 @t225 @t226 @t228 @t230 @t232 @t233)) % 0.53/0.87 (assume @p1 @t3) % 0.53/0.87 (assume @p2 @t9) % 0.53/0.87 (assume @p3 (forall @t11 (= (tptp.implies @t6 @t5) (tptp.implies @t10 @t1)))) % 0.53/0.87 (assume @p4 @t15) % 0.53/0.87 (assume @p5 @t17) % 0.53/0.87 (assume @p6 (forall @t8 (= (tptp.or @t16 @t4) (tptp.or @t1 (tptp.or @t5 @t4))))) % 0.53/0.87 (assume @p7 (forall @t11 (= @t16 (tptp.or @t5 @t1)))) % 0.53/0.87 (assume @p8 @t20) % 0.53/0.87 (assume @p9 (forall @t8 (= (tptp.and @t19 @t4) (tptp.and @t1 (tptp.and @t5 @t4))))) % 0.53/0.87 (assume @p10 @t21) % 0.53/0.87 (assume @p11 (forall @t11 (= @t22 (tptp.or (tptp.and @t1 @t12) (tptp.and @t13 @t5))))) % 0.53/0.87 (assume @p12 (forall @t11 (= @t22 (tptp.xor @t5 @t1)))) % 0.53/0.87 (assume @p13 @t24) % 0.53/0.87 (assume @p14 (forall @t8 (= (tptp.and_star @t23 @t4) (tptp.and_star @t1 (tptp.and_star @t5 @t4))))) % 0.53/0.87 (assume @p15 (forall @t11 (= @t23 (tptp.and_star @t5 @t1)))) % 0.53/0.87 (assume @p16 (= @t25 tptp.falsehood)) % 0.53/0.87 (assume @p17 (not (= @t26 tptp.x))) % 0.53/0.87 (step @p18 :rule symm :premises (@p17)) % 0.53/0.87 (step @p19 :rule eq-symm :args (@t23 @t18)) % 0.53/0.87 (step @p20 :rule cong :premises (@p19) :args (@t24)) % 0.53/0.87 (step @p21 :rule eq_resolve :premises (@p13 @p20)) % 0.53/0.87 (step @p22 :rule eq-symm :args (@t29 @t26)) % 0.53/0.87 (step @p23 :rule refl :args (@t30)) % 0.53/0.87 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t30 @t31))) % 0.53/0.87 (assume-push @p651 @t30) % 0.53/0.87 (step @p26 :rule instantiate :premises (@p21) :args (@t32)) % 0.53/0.87 (step-pop @p652 :rule scope :premises (@p26)) % 0.53/0.87 (step @p27 :rule process_scope :premises (@p652) :args (@t31)) % 0.53/0.87 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.53/0.87 (step @p30 :rule implies_elim :premises (@p29)) % 0.53/0.87 (step @p31 :rule chain_m_resolution :premises (@p30 @p21) :args (@t33 @t34 (@list @t30))) % 0.53/0.87 (step @p32 :rule instantiate :premises (@p5) :args (@t35)) % 0.53/0.87 (step @p33 :rule instantiate :premises (@p7) :args (@t35)) % 0.53/0.87 (step @p34 :rule eq-symm :args (@t36 @t29)) % 0.53/0.87 (step @p35 :rule refl :args (@t20)) % 0.53/0.87 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t20 @t37))) % 0.53/0.87 (assume-push @p653 @t20) % 0.53/0.87 (step @p38 :rule instantiate :premises (@p8) :args (@t32)) % 0.53/0.87 (step-pop @p654 :rule scope :premises (@p38)) % 0.53/0.87 (step @p39 :rule process_scope :premises (@p654) :args (@t37)) % 0.53/0.87 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 0.53/0.87 (step @p42 :rule implies_elim :premises (@p41)) % 0.53/0.87 (step @p43 :rule chain_m_resolution :premises (@p42 @p8) :args (@t38 @t34 @t39)) % 0.53/0.87 (step @p44 :rule eq-symm :args (@t14 tptp.truth)) % 0.53/0.87 (step @p45 :rule cong :premises (@p44) :args (@t15)) % 0.53/0.87 (step @p46 :rule eq_resolve :premises (@p4 @p45)) % 0.53/0.87 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t27 tptp.truth))) % 0.53/0.87 (step @p48 :rule instantiate :premises (@p5) :args ((@list @t25 @t27))) % 0.53/0.87 (step @p49 :rule eq-symm :args (@t40 @t42)) % 0.53/0.87 (step @p50 :rule cong :premises (@p35 @p49) :args ((=> @t20 @t43))) % 0.53/0.87 (assume-push @p655 @t20) % 0.53/0.87 (step @p52 :rule instantiate :premises (@p8) :args (@t44)) % 0.53/0.87 (step-pop @p656 :rule scope :premises (@p52)) % 0.53/0.87 (step @p53 :rule process_scope :premises (@p656) :args (@t43)) % 0.53/0.87 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.53/0.87 (step @p56 :rule implies_elim :premises (@p55)) % 0.53/0.87 (step @p57 :rule chain_m_resolution :premises (@p56 @p8) :args (@t45 @t34 @t39)) % 0.53/0.87 (step @p58 :rule eq-symm :args (@t2 @t1)) % 0.53/0.87 (step @p59 :rule cong :premises (@p58) :args (@t3)) % 0.53/0.87 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 0.53/0.87 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t27))) % 0.53/0.87 (step @p62 :rule eq-symm :args (@t7 tptp.truth)) % 0.53/0.87 (step @p63 :rule cong :premises (@p62) :args (@t9)) % 0.53/0.87 (step @p64 :rule eq_resolve :premises (@p2 @p63)) % 0.53/0.87 (step @p65 :rule instantiate :premises (@p64) :args ((@list tptp.truth @t46 @t27))) % 0.53/0.87 (step @p66 :rule instantiate :premises (@p46) :args ((@list @t25 @t25))) % 0.53/0.87 (step @p67 :rule instantiate :premises (@p60) :args ((@list tptp.truth))) % 0.53/0.87 (step @p68 :rule instantiate :premises (@p60) :args ((@list @t46))) % 0.53/0.87 (step @p69 :rule instantiate :premises (@p3) :args ((@list @t47 tptp.truth))) % 0.53/0.87 (step @p70 :rule instantiate :premises (@p5) :args ((@list @t49 @t48))) % 0.53/0.87 (step @p71 :rule eq-symm :args (@t50 @t51)) % 0.53/0.87 (step @p72 :rule refl :args (@t17)) % 0.53/0.87 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t17 @t52))) % 0.53/0.87 (assume-push @p657 @t17) % 0.53/0.87 (step @p75 :rule instantiate :premises (@p5) :args (@t53)) % 0.53/0.87 (step-pop @p658 :rule scope :premises (@p75)) % 0.53/0.87 (step @p76 :rule process_scope :premises (@p658) :args (@t52)) % 0.53/0.87 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.53/0.87 (step @p79 :rule implies_elim :premises (@p78)) % 0.53/0.87 (step @p80 :rule chain_m_resolution :premises (@p79 @p5) :args (@t54 @t34 @t55)) % 0.53/0.87 (step @p81 :rule eq-symm :args (@t56 @t57)) % 0.53/0.87 (step @p82 :rule cong :premises (@p72 @p81) :args ((=> @t17 @t58))) % 0.53/0.87 (assume-push @p659 @t17) % 0.53/0.87 (step @p84 :rule instantiate :premises (@p5) :args (@t59)) % 0.53/0.87 (step-pop @p660 :rule scope :premises (@p84)) % 0.53/0.87 (step @p85 :rule process_scope :premises (@p660) :args (@t58)) % 0.53/0.87 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 0.53/0.87 (step @p88 :rule implies_elim :premises (@p87)) % 0.53/0.87 (step @p89 :rule chain_m_resolution :premises (@p88 @p5) :args (@t60 @t34 @t55)) % 0.53/0.87 (step @p90 :rule instantiate :premises (@p8) :args (@t61)) % 0.53/0.87 (step @p91 :rule instantiate :premises (@p8) :args ((@list @t25 tptp.truth))) % 0.53/0.87 (step @p92 :rule instantiate :premises (@p8) :args (@t62)) % 0.53/0.87 (step @p93 :rule instantiate :premises (@p8) :args ((@list @t27 tptp.x))) % 0.53/0.87 (step @p94 :rule instantiate :premises (@p8) :args (@t64)) % 0.53/0.87 (step @p95 :rule instantiate :premises (@p8) :args (@t65)) % 0.53/0.87 (step @p96 :rule instantiate :premises (@p9) :args ((@list tptp.truth tptp.x @t28))) % 0.53/0.87 (step @p97 :rule instantiate :premises (@p9) :args ((@list @t28 tptp.truth tptp.x))) % 0.53/0.87 (step @p98 :rule instantiate :premises (@p10) :args (@t61)) % 0.53/0.87 (step @p99 :rule instantiate :premises (@p10) :args (@t59)) % 0.53/0.87 (step @p100 :rule instantiate :premises (@p10) :args (@t62)) % 0.53/0.87 (step @p101 :rule eq-symm :args (@t66 @t67)) % 0.53/0.87 (step @p102 :rule refl :args (@t21)) % 0.53/0.87 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t21 @t68))) % 0.53/0.87 (assume-push @p661 @t21) % 0.53/0.87 (step @p105 :rule instantiate :premises (@p10) :args (@t69)) % 0.53/0.87 (step-pop @p662 :rule scope :premises (@p105)) % 0.53/0.87 (step @p106 :rule process_scope :premises (@p662) :args (@t68)) % 0.53/0.87 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 0.53/0.87 (step @p109 :rule implies_elim :premises (@p108)) % 0.53/0.87 (step @p110 :rule chain_m_resolution :premises (@p109 @p10) :args (@t70 @t34 @t71)) % 0.53/0.87 (step @p111 :rule instantiate :premises (@p60) :args ((@list tptp.x))) % 0.53/0.87 (step @p112 :rule instantiate :premises (@p60) :args ((@list @t72))) % 0.53/0.87 (step @p113 :rule instantiate :premises (@p60) :args ((@list @t73))) % 0.53/0.87 (step @p114 :rule instantiate :premises (@p46) :args ((@list @t46 @t74))) % 0.53/0.87 (step @p115 :rule instantiate :premises (@p5) :args ((@list @t63 @t27))) % 0.53/0.87 (step @p116 :rule instantiate :premises (@p5) :args (@t65)) % 0.53/0.87 (step @p117 :rule eq-symm :args (@t75 @t76)) % 0.53/0.87 (step @p118 :rule cong :premises (@p72 @p117) :args ((=> @t17 @t77))) % 0.53/0.87 (assume-push @p663 @t17) % 0.53/0.87 (step @p120 :rule instantiate :premises (@p5) :args (@t78)) % 0.53/0.87 (step-pop @p664 :rule scope :premises (@p120)) % 0.53/0.87 (step @p121 :rule process_scope :premises (@p664) :args (@t77)) % 0.53/0.87 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 0.53/0.87 (step @p124 :rule implies_elim :premises (@p123)) % 0.53/0.87 (step @p125 :rule chain_m_resolution :premises (@p124 @p5) :args (@t79 @t34 @t55)) % 0.53/0.87 (step @p126 :rule eq-symm :args (@t80 @t81)) % 0.53/0.87 (step @p127 :rule cong :premises (@p72 @p126) :args ((=> @t17 @t82))) % 0.53/0.87 (assume-push @p665 @t17) % 0.53/0.87 (step @p129 :rule instantiate :premises (@p5) :args ((@list @t27 @t29))) % 0.53/0.87 (step-pop @p666 :rule scope :premises (@p129)) % 0.53/0.87 (step @p130 :rule process_scope :premises (@p666) :args (@t82)) % 0.53/0.87 (step @p132 :rule eq_resolve :premises (@p130 @p127)) % 0.53/0.87 (step @p133 :rule implies_elim :premises (@p132)) % 0.53/0.87 (step @p134 :rule chain_m_resolution :premises (@p133 @p5) :args (@t83 @t34 @t55)) % 0.53/0.87 (step @p135 :rule instantiate :premises (@p7) :args (@t59)) % 0.53/0.87 (step @p136 :rule instantiate :premises (@p7) :args (@t64)) % 0.53/0.87 (step @p137 :rule instantiate :premises (@p8) :args (@t84)) % 0.53/0.87 (step @p138 :rule instantiate :premises (@p8) :args ((@list tptp.truth @t85))) % 0.53/0.87 (step @p139 :rule instantiate :premises (@p8) :args ((@list @t86 tptp.x))) % 0.53/0.87 (step @p140 :rule instantiate :premises (@p8) :args (@t87)) % 0.53/0.87 (step @p141 :rule instantiate :premises (@p9) :args ((@list @t28 tptp.x tptp.truth))) % 0.53/0.87 (step @p142 :rule eq-symm :args (@t88 @t89)) % 0.53/0.87 (step @p143 :rule cong :premises (@p102 @p142) :args ((=> @t21 @t90))) % 0.53/0.87 (assume-push @p667 @t21) % 0.53/0.87 (step @p145 :rule instantiate :premises (@p10) :args (@t84)) % 0.53/0.87 (step-pop @p668 :rule scope :premises (@p145)) % 0.53/0.87 (step @p146 :rule process_scope :premises (@p668) :args (@t90)) % 0.53/0.87 (step @p148 :rule eq_resolve :premises (@p146 @p143)) % 0.53/0.87 (step @p149 :rule implies_elim :premises (@p148)) % 0.53/0.87 (step @p150 :rule chain_m_resolution :premises (@p149 @p10) :args (@t91 @t34 @t71)) % 0.53/0.87 (step @p151 :rule instantiate :premises (@p21) :args (@t87)) % 0.53/0.87 (step @p152 :rule instantiate :premises (@p21) :args ((@list @t74 @t25))) % 0.53/0.87 (step @p153 :rule instantiate :premises (@p60) :args ((@list @t48))) % 0.53/0.87 (step @p154 :rule instantiate :premises (@p60) :args ((@list @t93))) % 0.53/0.87 (step @p155 :rule instantiate :premises (@p3) :args ((@list @t94 @t27))) % 0.53/0.87 (step @p156 :rule instantiate :premises (@p5) :args (@t95)) % 0.53/0.87 (step @p157 :rule instantiate :premises (@p5) :args ((@list @t25 @t96))) % 0.53/0.87 (step @p158 :rule instantiate :premises (@p5) :args ((@list @t63 @t25))) % 0.53/0.87 (step @p159 :rule instantiate :premises (@p5) :args ((@list @t25 tptp.x))) % 0.53/0.87 (step @p160 :rule eq-symm :args (@t98 @t100)) % 0.53/0.87 (step @p161 :rule cong :premises (@p72 @p160) :args ((=> @t17 @t101))) % 0.53/0.87 (assume-push @p669 @t17) % 0.53/0.87 (step @p163 :rule instantiate :premises (@p5) :args ((@list @t97 @t25))) % 0.53/0.87 (step-pop @p670 :rule scope :premises (@p163)) % 0.53/0.87 (step @p164 :rule process_scope :premises (@p670) :args (@t101)) % 0.53/0.87 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 0.53/0.87 (step @p167 :rule implies_elim :premises (@p166)) % 0.53/0.87 (step @p168 :rule chain_m_resolution :premises (@p167 @p5) :args (@t102 @t34 @t55)) % 0.53/0.87 (step @p169 :rule instantiate :premises (@p5) :args ((@list @t104 @t67))) % 0.53/0.87 (step @p170 :rule instantiate :premises (@p6) :args ((@list @t63 @t27 @t25))) % 0.53/0.87 (step @p171 :rule instantiate :premises (@p6) :args ((@list @t103 @t27 @t25))) % 0.53/0.87 (step @p172 :rule instantiate :premises (@p7) :args (@t95)) % 0.53/0.87 (step @p173 :rule instantiate :premises (@p7) :args (@t78)) % 0.53/0.87 (step @p174 :rule instantiate :premises (@p7) :args ((@list @t103 @t27))) % 0.53/0.87 (step @p175 :rule instantiate :premises (@p8) :args ((@list tptp.truth @t29))) % 0.53/0.87 (step @p176 :rule instantiate :premises (@p8) :args ((@list @t29 tptp.truth))) % 0.53/0.87 (step @p177 :rule instantiate :premises (@p8) :args (@t105)) % 0.53/0.87 (step @p178 :rule instantiate :premises (@p8) :args ((@list @t99 @t97))) % 0.53/0.87 (step @p179 :rule instantiate :premises (@p9) :args ((@list tptp.truth tptp.x tptp.truth))) % 0.53/0.87 (step @p180 :rule instantiate :premises (@p9) :args ((@list tptp.truth tptp.truth tptp.x))) % 0.53/0.87 (step @p181 :rule instantiate :premises (@p10) :args (@t105)) % 0.53/0.87 (step @p182 :rule instantiate :premises (@p21) :args ((@list tptp.truth @t92))) % 0.53/0.87 (step @p183 :rule instantiate :premises (@p60) :args ((@list @t29))) % 0.53/0.87 (step @p184 :rule instantiate :premises (@p60) :args ((@list @t94))) % 0.53/0.87 (step @p185 :rule instantiate :premises (@p46) :args (@t95)) % 0.53/0.87 (step @p186 :rule instantiate :premises (@p46) :args ((@list @t106 @t104))) % 0.53/0.87 (step @p187 :rule instantiate :premises (@p5) :args ((@list @t25 @t106))) % 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false :rule chain_m_resolution :premises (@p649 @p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p125 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p80 @p70 @p69 @p68 @p67 @p66 @p65 @p61 @p57 @p48 @p47 @p43 @p33 @p32 @p31 @p18) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t233 @t232 @t230 @t228 @t226 @t225 @t223 @t222 @t219 @t217 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