%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL158-1 : 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 : n028.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 1.76s 2.13s % Output : Proof 1.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL158-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.12/0.37 % Computer : n028.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8046.5625MB % 0.12/0.37 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Sat Sep 5 06:16:44 UTC 2026 % 0.12/0.38 % CPUTime : % 0.12/0.45 %----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... % 1.76/2.13 % SZS status Unsatisfiable % 1.76/2.13 % SZS output start Proof % 1.86/2.16 ( % 1.86/2.16 (declare-sort $$unsorted 0) % 1.86/2.16 (declare-const tptp.falsehood $$unsorted) % 1.86/2.16 (declare-const tptp.and_star (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.16 (declare-const tptp.x $$unsorted) % 1.86/2.16 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.16 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.16 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 1.86/2.16 (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.16 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 1.86/2.16 (declare-const tptp.truth $$unsorted) % 1.86/2.16 (define @t1 () (@var "X" $$unsorted)) % 1.86/2.16 (define @t2 () (tptp.implies tptp.truth @t1)) % 1.86/2.16 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 1.86/2.16 (define @t4 () (@var "Z" $$unsorted)) % 1.86/2.16 (define @t5 () (@var "Y" $$unsorted)) % 1.86/2.16 (define @t6 () (tptp.implies @t1 @t5)) % 1.86/2.16 (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4)))) % 1.86/2.16 (define @t8 () (@list @t1 @t5 @t4)) % 1.86/2.16 (define @t9 () (forall @t8 (= @t7 tptp.truth))) % 1.86/2.16 (define @t10 () (tptp.implies @t5 @t1)) % 1.86/2.16 (define @t11 () (@list @t1 @t5)) % 1.86/2.16 (define @t12 () (tptp.not @t5)) % 1.86/2.16 (define @t13 () (tptp.not @t1)) % 1.86/2.16 (define @t14 () (tptp.implies (tptp.implies @t13 @t12) @t10)) % 1.86/2.16 (define @t15 () (forall @t11 (= @t14 tptp.truth))) % 1.86/2.16 (define @t16 () (tptp.or @t1 @t5)) % 1.86/2.16 (define @t17 () (forall @t11 (= @t16 (tptp.implies @t13 @t5)))) % 1.86/2.16 (define @t18 () (tptp.not (tptp.or @t13 @t12))) % 1.86/2.16 (define @t19 () (tptp.and @t1 @t5)) % 1.86/2.16 (define @t20 () (forall @t11 (= @t19 @t18))) % 1.86/2.16 (define @t21 () (forall @t8 (= (tptp.and @t19 @t4) (tptp.and @t1 (tptp.and @t5 @t4))))) % 1.86/2.16 (define @t22 () (forall @t11 (= @t19 (tptp.and @t5 @t1)))) % 1.86/2.16 (define @t23 () (tptp.xor @t1 @t5)) % 1.86/2.16 (define @t24 () (tptp.and_star @t1 @t5)) % 1.86/2.16 (define @t25 () (forall @t11 (= @t24 @t18))) % 1.86/2.16 (define @t26 () (tptp.not tptp.truth)) % 1.86/2.16 (define @t27 () (tptp.xor tptp.truth tptp.x)) % 1.86/2.16 (define @t28 () (tptp.and_star @t27 tptp.x)) % 1.86/2.16 (define @t29 () (tptp.not tptp.x)) % 1.86/2.16 (define @t30 () (tptp.not @t27)) % 1.86/2.16 (define @t31 () (tptp.or @t30 @t29)) % 1.86/2.16 (define @t32 () (tptp.not @t31)) % 1.86/2.16 (define @t33 () (forall @t11 (= @t18 @t24))) % 1.86/2.16 (define @t34 () (= @t32 @t28)) % 1.86/2.16 (define @t35 () (@list @t27 tptp.x)) % 1.86/2.16 (define @t36 () (= @t28 @t32)) % 1.86/2.16 (define @t37 () (@list false)) % 1.86/2.16 (define @t38 () (tptp.and @t26 tptp.x)) % 1.86/2.16 (define @t39 () (tptp.and tptp.truth @t29)) % 1.86/2.16 (define @t40 () (@list @t39 @t38)) % 1.86/2.16 (define @t41 () (@list @t30 @t29)) % 1.86/2.16 (define @t42 () (@list tptp.truth @t29)) % 1.86/2.16 (define @t43 () (@list @t26 tptp.x)) % 1.86/2.16 (define @t44 () (tptp.and @t27 tptp.x)) % 1.86/2.16 (define @t45 () (= @t44 @t32)) % 1.86/2.16 (define @t46 () (= @t32 @t44)) % 1.86/2.16 (define @t47 () (tptp.not @t26)) % 1.86/2.16 (define @t48 () (tptp.or @t47 @t29)) % 1.86/2.16 (define @t49 () (tptp.not @t29)) % 1.86/2.16 (define @t50 () (@list @t26 @t49)) % 1.86/2.16 (define @t51 () (@list @t47 @t29)) % 1.86/2.16 (define @t52 () (tptp.or @t26 @t49)) % 1.86/2.16 (define @t53 () (tptp.implies tptp.x @t49)) % 1.86/2.16 (define @t54 () (tptp.or tptp.x @t26)) % 1.86/2.16 (define @t55 () (tptp.implies @t29 @t26)) % 1.86/2.16 (define @t56 () (= @t54 @t55)) % 1.86/2.16 (define @t57 () (@list tptp.x @t26)) % 1.86/2.16 (define @t58 () (= @t55 @t54)) % 1.86/2.16 (define @t59 () (@list @t17)) % 1.86/2.16 (define @t60 () (tptp.or @t29 @t49)) % 1.86/2.16 (define @t61 () (tptp.implies @t49 @t49)) % 1.86/2.16 (define @t62 () (= @t60 @t61)) % 1.86/2.16 (define @t63 () (@list @t29 @t49)) % 1.86/2.16 (define @t64 () (= @t61 @t60)) % 1.86/2.16 (define @t65 () (tptp.or @t26 @t47)) % 1.86/2.16 (define @t66 () (tptp.implies @t47 @t47)) % 1.86/2.16 (define @t67 () (= @t65 @t66)) % 1.86/2.16 (define @t68 () (@list @t26 @t47)) % 1.86/2.16 (define @t69 () (= @t66 @t65)) % 1.86/2.16 (define @t70 () (@list @t26 tptp.truth)) % 1.86/2.16 (define @t71 () (tptp.or @t27 @t26)) % 1.86/2.16 (define @t72 () (tptp.implies @t30 @t26)) % 1.86/2.16 (define @t73 () (= @t71 @t72)) % 1.86/2.16 (define @t74 () (@list @t27 @t26)) % 1.86/2.16 (define @t75 () (= @t72 @t71)) % 1.86/2.16 (define @t76 () (tptp.not @t52)) % 1.86/2.16 (define @t77 () (tptp.or @t26 @t76)) % 1.86/2.16 (define @t78 () (tptp.implies @t47 @t76)) % 1.86/2.16 (define @t79 () (= @t77 @t78)) % 1.86/2.16 (define @t80 () (@list @t26 @t76)) % 1.86/2.16 (define @t81 () (= @t78 @t77)) % 1.86/2.16 (define @t82 () (@list tptp.truth @t30)) % 1.86/2.16 (define @t83 () (@list @t52 @t27)) % 1.86/2.16 (define @t84 () (@list @t47 @t48)) % 1.86/2.16 (define @t85 () (tptp.and tptp.truth @t30)) % 1.86/2.16 (define @t86 () (tptp.and @t30 tptp.truth)) % 1.86/2.16 (define @t87 () (= @t85 @t86)) % 1.86/2.16 (define @t88 () (= @t86 @t85)) % 1.86/2.16 (define @t89 () (@list @t22)) % 1.86/2.16 (define @t90 () (tptp.and @t47 @t48)) % 1.86/2.16 (define @t91 () (tptp.and @t48 @t47)) % 1.86/2.16 (define @t92 () (= @t90 @t91)) % 1.86/2.16 (define @t93 () (= @t91 @t90)) % 1.86/2.16 (define @t94 () (tptp.implies tptp.truth @t47)) % 1.86/2.16 (define @t95 () (tptp.implies tptp.truth @t49)) % 1.86/2.16 (define @t96 () (tptp.not @t47)) % 1.86/2.16 (define @t97 () (tptp.not @t30)) % 1.86/2.16 (define @t98 () (@list @t26 @t97)) % 1.86/2.16 (define @t99 () (tptp.not @t48)) % 1.86/2.16 (define @t100 () (tptp.or @t30 @t76)) % 1.86/2.16 (define @t101 () (tptp.implies @t97 @t76)) % 1.86/2.16 (define @t102 () (= @t100 @t101)) % 1.86/2.16 (define @t103 () (= @t101 @t100)) % 1.86/2.16 (define @t104 () (tptp.not @t38)) % 1.86/2.16 (define @t105 () (tptp.or @t26 @t104)) % 1.86/2.16 (define @t106 () (tptp.implies @t47 @t104)) % 1.86/2.16 (define @t107 () (= @t105 @t106)) % 1.86/2.16 (define @t108 () (= @t106 @t105)) % 1.86/2.16 (define @t109 () (tptp.and tptp.x @t29)) % 1.86/2.16 (define @t110 () (tptp.or @t29 @t109)) % 1.86/2.16 (define @t111 () (tptp.implies @t49 @t109)) % 1.86/2.16 (define @t112 () (= @t110 @t111)) % 1.86/2.16 (define @t113 () (= @t111 @t110)) % 1.86/2.16 (define @t114 () (tptp.and tptp.truth @t48)) % 1.86/2.16 (define @t115 () (tptp.and @t47 @t26)) % 1.86/2.16 (define @t116 () (tptp.and @t115 tptp.x)) % 1.86/2.16 (define @t117 () (tptp.and @t47 @t38)) % 1.86/2.16 (define @t118 () (= @t116 @t117)) % 1.86/2.16 (define @t119 () (= @t117 @t116)) % 1.86/2.16 (define @t120 () (= tptp.falsehood @t26)) % 1.86/2.16 (define @t121 () (tptp.or @t39 @t38)) % 1.86/2.16 (define @t122 () (= @t27 @t121)) % 1.86/2.16 (define @t123 () (tptp.not @t39)) % 1.86/2.16 (define @t124 () (= @t121 (tptp.implies @t123 @t38))) % 1.86/2.16 (define @t125 () (tptp.implies @t97 @t29)) % 1.86/2.16 (define @t126 () (= @t31 @t125)) % 1.86/2.16 (define @t127 () (tptp.or @t38 @t39)) % 1.86/2.16 (define @t128 () (= @t121 @t127)) % 1.86/2.16 (define @t129 () (tptp.or @t29 @t30)) % 1.86/2.16 (define @t130 () (= @t31 @t129)) % 1.86/2.16 (define @t131 () (= @t39 @t76)) % 1.86/2.16 (define @t132 () (= @t38 @t99)) % 1.86/2.16 (define @t133 () (tptp.and @t29 tptp.truth)) % 1.86/2.16 (define @t134 () (= @t39 @t133)) % 1.86/2.16 (define @t135 () (tptp.and tptp.x @t26)) % 1.86/2.16 (define @t136 () (= @t38 @t135)) % 1.86/2.16 (define @t137 () (tptp.implies @t48 @t39)) % 1.86/2.16 (define @t138 () (tptp.implies @t123 @t99)) % 1.86/2.16 (define @t139 () (tptp.implies @t138 @t137)) % 1.86/2.16 (define @t140 () (= tptp.truth @t139)) % 1.86/2.16 (define @t141 () (tptp.implies tptp.x @t30)) % 1.86/2.16 (define @t142 () (tptp.implies @t125 @t141)) % 1.86/2.16 (define @t143 () (= tptp.truth @t142)) % 1.86/2.16 (define @t144 () (tptp.implies @t47 @t49)) % 1.86/2.16 (define @t145 () (= @t52 @t144)) % 1.86/2.16 (define @t146 () (tptp.implies @t49 @t30)) % 1.86/2.16 (define @t147 () (= @t129 @t146)) % 1.86/2.16 (define @t148 () (tptp.implies @t104 @t39)) % 1.86/2.16 (define @t149 () (= @t127 @t148)) % 1.86/2.16 (define @t150 () (tptp.implies @t96 @t29)) % 1.86/2.16 (define @t151 () (= @t48 @t150)) % 1.86/2.16 (define @t152 () (tptp.or @t49 @t26)) % 1.86/2.16 (define @t153 () (= @t52 @t152)) % 1.86/2.16 (define @t154 () (tptp.or @t29 @t47)) % 1.86/2.16 (define @t155 () (= @t48 @t154)) % 1.86/2.16 (define @t156 () (tptp.or @t76 @t99)) % 1.86/2.16 (define @t157 () (tptp.not @t156)) % 1.86/2.16 (define @t158 () (= (tptp.and @t52 @t48) @t157)) % 1.86/2.16 (define @t159 () (tptp.and @t48 @t52)) % 1.86/2.16 (define @t160 () (= @t159 (tptp.not (tptp.or @t99 @t76)))) % 1.86/2.16 (define @t161 () (= tptp.truth (tptp.implies @t53 (tptp.implies @t146 @t141)))) % 1.86/2.16 (define @t162 () (= tptp.truth (tptp.implies @t144 @t55))) % 1.86/2.16 (define @t163 () (tptp.implies (tptp.implies @t96 @t96) @t66)) % 1.86/2.16 (define @t164 () (= tptp.truth @t163)) % 1.86/2.16 (define @t165 () (tptp.implies @t49 @t47)) % 1.86/2.16 (define @t166 () (= @t154 @t165)) % 1.86/2.16 (define @t167 () (tptp.not @t49)) % 1.86/2.16 (define @t168 () (tptp.implies @t167 @t26)) % 1.86/2.16 (define @t169 () (= @t152 @t168)) % 1.86/2.16 (define @t170 () (tptp.implies tptp.truth tptp.truth)) % 1.86/2.16 (define @t171 () (= tptp.truth @t170)) % 1.86/2.16 (define @t172 () (tptp.implies tptp.truth @t53)) % 1.86/2.16 (define @t173 () (tptp.implies @t172 @t53)) % 1.86/2.16 (define @t174 () (tptp.implies @t53 tptp.truth)) % 1.86/2.16 (define @t175 () (tptp.implies @t174 tptp.truth)) % 1.86/2.16 (define @t176 () (= @t175 @t173)) % 1.86/2.16 (define @t177 () (= tptp.truth (tptp.implies @t168 @t95))) % 1.86/2.16 (define @t178 () (tptp.or @t47 @t26)) % 1.86/2.16 (define @t179 () (tptp.not @t178)) % 1.86/2.16 (define @t180 () (tptp.and @t26 tptp.truth)) % 1.86/2.16 (define @t181 () (= @t180 @t179)) % 1.86/2.16 (define @t182 () (tptp.not (tptp.or @t47 @t96))) % 1.86/2.16 (define @t183 () (tptp.and @t26 @t47)) % 1.86/2.16 (define @t184 () (= @t183 @t182)) % 1.86/2.16 (define @t185 () (tptp.or @t49 @t29)) % 1.86/2.16 (define @t186 () (tptp.not @t185)) % 1.86/2.16 (define @t187 () (tptp.and @t29 tptp.x)) % 1.86/2.16 (define @t188 () (= @t187 @t186)) % 1.86/2.16 (define @t189 () (tptp.and tptp.truth @t26)) % 1.86/2.16 (define @t190 () (= @t189 @t180)) % 1.86/2.16 (define @t191 () (= @t183 @t115)) % 1.86/2.16 (define @t192 () (= @t109 @t187)) % 1.86/2.16 (define @t193 () (tptp.implies tptp.truth tptp.x)) % 1.86/2.16 (define @t194 () (= tptp.x @t193)) % 1.86/2.16 (define @t195 () (= @t49 @t95)) % 1.86/2.16 (define @t196 () (= @t53 @t172)) % 1.86/2.16 (define @t197 () (tptp.implies @t144 @t95)) % 1.86/2.16 (define @t198 () (tptp.implies @t94 @t197)) % 1.86/2.16 (define @t199 () (= tptp.truth @t198)) % 1.86/2.16 (define @t200 () (tptp.implies @t167 @t29)) % 1.86/2.16 (define @t201 () (= @t185 @t200)) % 1.86/2.16 (define @t202 () (tptp.implies @t96 @t26)) % 1.86/2.16 (define @t203 () (= @t178 @t202)) % 1.86/2.16 (define @t204 () (= @t65 @t178)) % 1.86/2.16 (define @t205 () (tptp.or @t26 tptp.x)) % 1.86/2.16 (define @t206 () (= @t54 @t205)) % 1.86/2.16 (define @t207 () (= @t60 @t185)) % 1.86/2.16 (define @t208 () (tptp.or @t26 @t97)) % 1.86/2.16 (define @t209 () (= @t85 (tptp.not @t208))) % 1.86/2.16 (define @t210 () (tptp.and @t52 @t27)) % 1.86/2.16 (define @t211 () (= @t210 (tptp.not (tptp.or @t76 @t30)))) % 1.86/2.16 (define @t212 () (tptp.or @t96 @t99)) % 1.86/2.16 (define @t213 () (tptp.not @t212)) % 1.86/2.16 (define @t214 () (= @t90 @t213)) % 1.86/2.16 (define @t215 () (tptp.and @t114 @t52)) % 1.86/2.16 (define @t216 () (= @t215 (tptp.and tptp.truth @t159))) % 1.86/2.16 (define @t217 () (tptp.and @t27 @t52)) % 1.86/2.16 (define @t218 () (= @t210 @t217)) % 1.86/2.16 (define @t219 () (tptp.and_star @t26 @t47)) % 1.86/2.16 (define @t220 () (= @t182 @t219)) % 1.86/2.16 (define @t221 () (= @t179 (tptp.and_star @t26 tptp.truth))) % 1.86/2.16 (define @t222 () (= @t47 @t94)) % 1.86/2.16 (define @t223 () (tptp.implies tptp.truth @t94)) % 1.86/2.16 (define @t224 () (tptp.implies @t223 @t94)) % 1.86/2.16 (define @t225 () (= (tptp.implies (tptp.implies @t94 tptp.truth) tptp.truth) @t224)) % 1.86/2.16 (define @t226 () (tptp.implies @t49 tptp.truth)) % 1.86/2.16 (define @t227 () (tptp.implies @t226 tptp.truth)) % 1.86/2.16 (define @t228 () (= (tptp.implies @t95 @t49) @t227)) % 1.86/2.16 (define @t229 () (tptp.implies @t47 @t95)) % 1.86/2.16 (define @t230 () (tptp.implies @t229 @t95)) % 1.86/2.16 (define @t231 () (= @t230 (tptp.implies (tptp.implies @t95 @t47) @t47))) % 1.86/2.16 (define @t232 () (tptp.implies @t29 @t96)) % 1.86/2.16 (define @t233 () (tptp.implies @t232 @t96)) % 1.86/2.16 (define @t234 () (= (tptp.implies @t150 @t29) @t233)) % 1.86/2.16 (define @t235 () (tptp.implies @t200 @t53)) % 1.86/2.16 (define @t236 () (= tptp.truth @t235)) % 1.86/2.16 (define @t237 () (= tptp.truth (tptp.implies @t202 @t94))) % 1.86/2.16 (define @t238 () (= @t205 (tptp.implies @t47 tptp.x))) % 1.86/2.16 (define @t239 () (= @t208 (tptp.implies @t47 @t97))) % 1.86/2.16 (define @t240 () (tptp.not @t97)) % 1.86/2.16 (define @t241 () (tptp.implies @t240 @t26)) % 1.86/2.16 (define @t242 () (tptp.or @t97 @t26)) % 1.86/2.16 (define @t243 () (= @t242 @t241)) % 1.86/2.16 (define @t244 () (tptp.not @t96)) % 1.86/2.16 (define @t245 () (tptp.implies @t244 @t99)) % 1.86/2.16 (define @t246 () (= @t212 @t245)) % 1.86/2.16 (define @t247 () (tptp.or @t39 @t26)) % 1.86/2.16 (define @t248 () (tptp.or @t38 @t247)) % 1.86/2.16 (define @t249 () (= (tptp.or @t127 @t26) @t248)) % 1.86/2.16 (define @t250 () (= @t77 (tptp.or @t76 @t26))) % 1.86/2.16 (define @t251 () (= @t208 @t242)) % 1.86/2.16 (define @t252 () (tptp.or @t39 @t30)) % 1.86/2.16 (define @t253 () (= @t252 (tptp.or @t30 @t39))) % 1.86/2.16 (define @t254 () (= @t117 (tptp.not (tptp.or @t96 @t104)))) % 1.86/2.16 (define @t255 () (tptp.not @t114)) % 1.86/2.16 (define @t256 () (tptp.or @t255 @t76)) % 1.86/2.16 (define @t257 () (tptp.not @t256)) % 1.86/2.16 (define @t258 () (= @t215 @t257)) % 1.86/2.16 (define @t259 () (= @t76 (tptp.implies tptp.truth @t76))) % 1.86/2.16 (define @t260 () (= @t99 (tptp.implies tptp.truth @t99))) % 1.86/2.16 (define @t261 () (tptp.implies tptp.truth @t97)) % 1.86/2.16 (define @t262 () (= @t97 @t261)) % 1.86/2.16 (define @t263 () (tptp.implies tptp.truth @t104)) % 1.86/2.16 (define @t264 () (= @t104 @t263)) % 1.86/2.16 (define @t265 () (tptp.implies @t49 tptp.x)) % 1.86/2.16 (define @t266 () (tptp.implies @t265 tptp.x)) % 1.86/2.16 (define @t267 () (= (tptp.implies @t53 @t49) @t266)) % 1.86/2.16 (define @t268 () (tptp.not @t91)) % 1.86/2.16 (define @t269 () (tptp.or @t268 @t76)) % 1.86/2.16 (define @t270 () (tptp.and @t49 @t48)) % 1.86/2.16 (define @t271 () (tptp.not @t86)) % 1.86/2.16 (define @t272 () (tptp.and @t48 @t49)) % 1.86/2.16 (define @t273 () (= tptp.falsehood @t28)) % 1.86/2.16 (define @t274 () (and @t120 @t122 @t36 @t124 @t126 @t128 @t130 @t131 @t132 @t46 @t134 @t136 @t140 @t143 @t145 @t147 @t149 @t151 @t153 @t155 @t158 @t160 @t161 @t162 @t164 @t166 @t169 @t171 @t176 @t177 @t58 @t64 @t69 @t181 @t184 @t188 @t190 @t191 @t192 @t194 @t195 @t196 @t199 @t201 @t203 @t75 @t81 @t204 @t206 @t207 @t209 @t211 @t214 @t216 @t88 @t218 @t93 @t220 @t221 @t222 @t225 @t228 @t231 @t234 @t236 @t237 @t238 @t239 @t243 @t246 @t103 @t108 @t113 @t249 @t250 @t251 @t253 @t254 @t258 @t119 @t259 @t260 @t262 @t264 @t267)) % 1.86/2.16 (assume @p1 @t3) % 1.86/2.16 (assume @p2 @t9) % 1.86/2.16 (assume @p3 (forall @t11 (= (tptp.implies @t6 @t5) (tptp.implies @t10 @t1)))) % 1.86/2.16 (assume @p4 @t15) % 1.86/2.16 (assume @p5 @t17) % 1.86/2.16 (assume @p6 (forall @t8 (= (tptp.or @t16 @t4) (tptp.or @t1 (tptp.or @t5 @t4))))) % 1.86/2.16 (assume @p7 (forall @t11 (= @t16 (tptp.or @t5 @t1)))) % 1.86/2.16 (assume @p8 @t20) % 1.86/2.16 (assume @p9 @t21) % 1.86/2.16 (assume @p10 @t22) % 1.86/2.16 (assume @p11 (forall @t11 (= @t23 (tptp.or (tptp.and @t1 @t12) (tptp.and @t13 @t5))))) % 1.86/2.16 (assume @p12 (forall @t11 (= @t23 (tptp.xor @t5 @t1)))) % 1.86/2.16 (assume @p13 @t25) % 1.86/2.16 (assume @p14 (forall @t8 (= (tptp.and_star @t24 @t4) (tptp.and_star @t1 (tptp.and_star @t5 @t4))))) % 1.86/2.16 (assume @p15 (forall @t11 (= @t24 (tptp.and_star @t5 @t1)))) % 1.86/2.16 (assume @p16 (= @t26 tptp.falsehood)) % 1.86/2.16 (assume @p17 (not (= @t28 tptp.falsehood))) % 1.86/2.16 (step @p18 :rule symm :premises (@p16)) % 1.86/2.16 (step @p19 :rule symm :premises (@p17)) % 1.86/2.16 (step @p20 :rule instantiate :premises (@p11) :args ((@list tptp.truth tptp.x))) % 1.86/2.16 (step @p21 :rule eq-symm :args (@t24 @t18)) % 1.86/2.16 (step @p22 :rule cong :premises (@p21) :args (@t25)) % 1.86/2.16 (step @p23 :rule eq_resolve :premises (@p13 @p22)) % 1.86/2.16 (step @p24 :rule eq-symm :args (@t32 @t28)) % 1.86/2.16 (step @p25 :rule refl :args (@t33)) % 1.86/2.16 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t33 @t34))) % 1.86/2.16 (assume-push @p659 @t33) % 1.86/2.16 (step @p28 :rule instantiate :premises (@p23) :args (@t35)) % 1.86/2.16 (step-pop @p660 :rule scope :premises (@p28)) % 1.86/2.16 (step @p29 :rule process_scope :premises (@p660) :args (@t34)) % 1.86/2.16 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 1.86/2.16 (step @p32 :rule implies_elim :premises (@p31)) % 1.86/2.16 (step @p33 :rule chain_m_resolution :premises (@p32 @p23) :args (@t36 @t37 (@list @t33))) % 1.86/2.16 (step @p34 :rule instantiate :premises (@p5) :args (@t40)) % 1.86/2.16 (step @p35 :rule instantiate :premises (@p5) :args (@t41)) % 1.86/2.16 (step @p36 :rule instantiate :premises (@p7) :args (@t40)) % 1.86/2.16 (step @p37 :rule instantiate :premises (@p7) :args (@t41)) % 1.86/2.16 (step @p38 :rule instantiate :premises (@p8) :args (@t42)) % 1.86/2.16 (step @p39 :rule instantiate :premises (@p8) :args (@t43)) % 1.86/2.16 (step @p40 :rule eq-symm :args (@t44 @t32)) % 1.86/2.16 (step @p41 :rule refl :args (@t20)) % 1.86/2.16 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t20 @t45))) % 1.86/2.16 (assume-push @p661 @t20) % 1.86/2.16 (step @p44 :rule instantiate :premises (@p8) :args (@t35)) % 1.86/2.16 (step-pop @p662 :rule scope :premises (@p44)) % 1.86/2.16 (step @p45 :rule process_scope :premises (@p662) :args (@t45)) % 1.86/2.16 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 1.86/2.16 (step @p48 :rule implies_elim :premises (@p47)) % 1.86/2.16 (step @p49 :rule chain_m_resolution :premises (@p48 @p8) :args (@t46 @t37 (@list @t20))) % 1.86/2.16 (step @p50 :rule instantiate :premises (@p10) :args (@t42)) % 1.86/2.16 (step @p51 :rule instantiate :premises (@p10) :args (@t43)) % 1.86/2.16 (step @p52 :rule eq-symm :args (@t14 tptp.truth)) % 1.86/2.16 (step @p53 :rule cong :premises (@p52) :args (@t15)) % 1.86/2.16 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 1.86/2.16 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t39 @t48))) % 1.86/2.16 (step @p56 :rule instantiate :premises (@p54) :args ((@list @t30 tptp.x))) % 1.86/2.16 (step @p57 :rule instantiate :premises (@p5) :args (@t50)) % 1.86/2.16 (step @p58 :rule instantiate :premises (@p5) :args ((@list @t29 @t30))) % 1.86/2.16 (step @p59 :rule instantiate :premises (@p5) :args ((@list @t38 @t39))) % 1.86/2.16 (step @p60 :rule instantiate :premises (@p5) :args (@t51)) % 1.86/2.16 (step @p61 :rule instantiate :premises (@p7) :args (@t50)) % 1.86/2.16 (step @p62 :rule instantiate :premises (@p7) :args (@t51)) % 1.86/2.16 (step @p63 :rule instantiate :premises (@p8) :args ((@list @t52 @t48))) % 1.86/2.16 (step @p64 :rule instantiate :premises (@p8) :args ((@list @t48 @t52))) % 1.86/2.16 (step @p65 :rule eq-symm :args (@t7 tptp.truth)) % 1.86/2.16 (step @p66 :rule cong :premises (@p65) :args (@t9)) % 1.86/2.16 (step @p67 :rule eq_resolve :premises (@p2 @p66)) % 1.86/2.16 (step @p68 :rule instantiate :premises (@p67) :args ((@list tptp.x @t49 @t30))) % 1.86/2.16 (step @p69 :rule instantiate :premises (@p54) :args ((@list @t26 @t29))) % 1.86/2.16 (step @p70 :rule instantiate :premises (@p54) :args ((@list @t47 @t47))) % 1.86/2.16 (step @p71 :rule instantiate :premises (@p5) :args ((@list @t29 @t47))) % 1.86/2.16 (step @p72 :rule instantiate :premises (@p5) :args ((@list @t49 @t26))) % 1.86/2.16 (step @p73 :rule eq-symm :args (@t2 @t1)) % 1.86/2.16 (step @p74 :rule cong :premises (@p73) :args (@t3)) % 1.86/2.16 (step @p75 :rule eq_resolve :premises (@p1 @p74)) % 1.86/2.16 (step @p76 :rule instantiate :premises (@p75) :args ((@list tptp.truth))) % 1.86/2.16 (step @p77 :rule instantiate :premises (@p3) :args ((@list @t53 tptp.truth))) % 1.86/2.16 (step @p78 :rule instantiate :premises (@p54) :args ((@list @t49 tptp.truth))) % 1.86/2.16 (step @p79 :rule eq-symm :args (@t54 @t55)) % 1.86/2.16 (step @p80 :rule refl :args (@t17)) % 1.86/2.16 (step @p81 :rule cong :premises (@p80 @p79) :args ((=> @t17 @t56))) % 1.86/2.16 (assume-push @p663 @t17) % 1.86/2.16 (step @p83 :rule instantiate :premises (@p5) :args (@t57)) % 1.86/2.16 (step-pop @p664 :rule scope :premises (@p83)) % 1.86/2.16 (step @p84 :rule process_scope :premises (@p664) :args (@t56)) % 1.86/2.16 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 1.86/2.16 (step @p87 :rule implies_elim :premises (@p86)) % 1.86/2.16 (step @p88 :rule chain_m_resolution :premises (@p87 @p5) :args (@t58 @t37 @t59)) % 1.86/2.16 (step @p89 :rule eq-symm :args (@t60 @t61)) % 1.86/2.16 (step @p90 :rule cong :premises (@p80 @p89) :args ((=> @t17 @t62))) % 1.86/2.16 (assume-push @p665 @t17) % 1.86/2.16 (step @p92 :rule instantiate :premises (@p5) :args (@t63)) % 1.86/2.16 (step-pop @p666 :rule scope :premises (@p92)) % 1.86/2.16 (step @p93 :rule process_scope :premises (@p666) :args (@t62)) % 1.86/2.16 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 1.86/2.16 (step @p96 :rule implies_elim :premises (@p95)) % 1.86/2.16 (step @p97 :rule chain_m_resolution :premises (@p96 @p5) :args (@t64 @t37 @t59)) % 1.86/2.16 (step @p98 :rule eq-symm :args (@t65 @t66)) % 1.86/2.16 (step @p99 :rule cong :premises (@p80 @p98) :args ((=> @t17 @t67))) % 1.86/2.16 (assume-push @p667 @t17) % 1.86/2.16 (step @p101 :rule instantiate :premises (@p5) :args (@t68)) % 1.86/2.16 (step-pop @p668 :rule scope :premises (@p101)) % 1.86/2.16 (step @p102 :rule process_scope :premises (@p668) :args (@t67)) % 1.86/2.16 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 1.86/2.16 (step @p105 :rule implies_elim :premises (@p104)) % 1.86/2.16 (step @p106 :rule chain_m_resolution :premises (@p105 @p5) :args (@t69 @t37 @t59)) % 1.86/2.16 (step @p107 :rule instantiate :premises (@p8) :args (@t70)) % 1.86/2.16 (step @p108 :rule instantiate :premises (@p8) :args (@t68)) % 1.86/2.16 (step @p109 :rule instantiate :premises (@p8) :args ((@list @t29 tptp.x))) % 1.86/2.16 (step @p110 :rule instantiate :premises (@p10) :args ((@list tptp.truth @t26))) % 1.86/2.16 (step @p111 :rule instantiate :premises (@p10) :args (@t68)) % 1.86/2.16 (step @p112 :rule instantiate :premises (@p10) :args ((@list tptp.x @t29))) % 1.86/2.16 (step @p113 :rule instantiate :premises (@p75) :args ((@list tptp.x))) % 1.86/2.16 (step @p114 :rule instantiate :premises (@p75) :args ((@list @t49))) % 1.86/2.16 (step @p115 :rule instantiate :premises (@p75) :args ((@list @t53))) % 1.86/2.16 (step @p116 :rule instantiate :premises (@p67) :args ((@list tptp.truth @t47 @t49))) % 1.86/2.16 (step @p117 :rule instantiate :premises (@p5) :args ((@list @t49 @t29))) % 1.86/2.16 (step @p118 :rule instantiate :premises (@p5) :args ((@list @t47 @t26))) % 1.86/2.16 (step @p119 :rule eq-symm :args (@t71 @t72)) % 1.86/2.16 (step @p120 :rule cong :premises (@p80 @p119) :args ((=> @t17 @t73))) % 1.86/2.16 (assume-push @p669 @t17) % 1.86/2.16 (step @p122 :rule instantiate :premises (@p5) :args (@t74)) % 1.86/2.16 (step-pop @p670 :rule scope :premises (@p122)) % 1.86/2.16 (step @p123 :rule process_scope :premises (@p670) :args (@t73)) % 1.86/2.16 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 1.86/2.16 (step @p126 :rule implies_elim :premises (@p125)) % 1.86/2.16 (step @p127 :rule chain_m_resolution :premises (@p126 @p5) :args (@t75 @t37 @t59)) % 1.86/2.16 (step @p128 :rule eq-symm :args (@t77 @t78)) % 1.86/2.16 (step @p129 :rule cong :premises (@p80 @p128) :args ((=> @t17 @t79))) % 1.86/2.16 (assume-push @p671 @t17) % 1.86/2.16 (step @p131 :rule instantiate :premises (@p5) :args (@t80)) % 1.86/2.16 (step-pop @p672 :rule scope :premises (@p131)) % 1.86/2.16 (step @p132 :rule process_scope :premises (@p672) :args (@t79)) % 1.86/2.16 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 1.86/2.16 (step @p135 :rule implies_elim :premises (@p134)) % 1.86/2.16 (step @p136 :rule chain_m_resolution :premises (@p135 @p5) :args (@t81 @t37 @t59)) % 1.86/2.16 (step @p137 :rule instantiate :premises (@p7) :args (@t68)) % 1.86/2.16 (step @p138 :rule instantiate :premises (@p7) :args (@t57)) % 1.86/2.16 (step @p139 :rule instantiate :premises (@p7) :args (@t63)) % 1.86/2.16 (step @p140 :rule instantiate :premises (@p8) :args (@t82)) % 1.86/2.16 (step @p141 :rule instantiate :premises (@p8) :args (@t83)) % 1.86/2.16 (step @p142 :rule instantiate :premises (@p8) :args (@t84)) % 1.86/2.16 (step @p143 :rule instantiate :premises (@p9) :args ((@list tptp.truth @t48 @t52))) % 1.86/2.16 (step @p144 :rule eq-symm :args (@t85 @t86)) % 1.86/2.16 (step @p145 :rule refl :args (@t22)) % 1.86/2.16 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t22 @t87))) % 1.86/2.16 (assume-push @p673 @t22) % 1.86/2.16 (step @p148 :rule instantiate :premises (@p10) :args (@t82)) % 1.86/2.16 (step-pop @p674 :rule scope :premises (@p148)) % 1.86/2.16 (step @p149 :rule process_scope :premises (@p674) :args (@t87)) % 1.86/2.16 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 1.86/2.16 (step @p152 :rule implies_elim :premises (@p151)) % 1.86/2.16 (step @p153 :rule chain_m_resolution :premises (@p152 @p10) :args (@t88 @t37 @t89)) % 1.86/2.16 (step @p154 :rule instantiate :premises (@p10) :args (@t83)) % 1.86/2.16 (step @p155 :rule eq-symm :args (@t90 @t91)) % 1.86/2.16 (step @p156 :rule cong :premises (@p145 @p155) :args ((=> @t22 @t92))) % 1.86/2.16 (assume-push @p675 @t22) % 1.86/2.16 (step @p158 :rule instantiate :premises (@p10) :args (@t84)) % 1.86/2.16 (step-pop @p676 :rule scope :premises (@p158)) % 1.86/2.16 (step @p159 :rule process_scope :premises (@p676) :args (@t92)) % 1.86/2.16 (step @p161 :rule eq_resolve :premises (@p159 @p156)) % 1.86/2.16 (step @p162 :rule implies_elim :premises (@p161)) % 1.86/2.16 (step @p163 :rule chain_m_resolution :premises (@p162 @p10) :args (@t93 @t37 @t89)) % 1.86/2.16 (step @p164 :rule instantiate :premises (@p23) :args (@t68)) % 1.86/2.16 (step @p165 :rule instantiate :premises (@p23) :args (@t70)) % 1.86/2.16 (step @p166 :rule instantiate :premises (@p75) :args ((@list @t47))) % 1.86/2.16 (step @p167 :rule instantiate :premises (@p3) :args ((@list @t94 tptp.truth))) % 1.86/2.16 (step @p168 :rule instantiate :premises (@p3) :args ((@list tptp.truth @t49))) % 1.86/2.16 (step @p169 :rule instantiate :premises (@p3) :args ((@list @t47 @t95))) % 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@t214) (not @t216) (not @t88) (not @t218) (not @t93) (not @t220) (not @t221) (not @t222) (not @t225) (not @t228) (not @t231) (not @t234) (not @t236) (not @t237) (not @t238) (not @t239) (not @t243) (not @t246) (not @t103) (not @t108) (not @t113) (not @t249) (not @t250) (not @t251) (not @t253) (not @t254) (not @t258) (not @t119) (not @t259) (not @t260) (not @t262) (not @t264) (not @t267)))) % 1.86/2.17 (step @p658 false :rule chain_m_resolution :premises (@p657 @p224 @p223 @p222 @p221 @p220 @p219 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p194 @p185 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p154 @p153 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p127 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p97 @p88 @p78 @p77 @p76 @p72 @p71 @p70 @p69 @p68 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p51 @p50 @p49 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p20 @p19 @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 false false false false false false false false false false false true false) (@list @t267 @t264 @t262 @t260 @t259 @t119 @t258 @t254 @t253 @t251 @t250 @t249 @t113 @t108 @t103 @t246 @t243 @t239 @t238 @t237 @t236 @t234 @t231 @t228 @t225 @t222 @t221 @t220 @t93 @t218 @t88 @t216 @t214 @t211 @t209 @t207 @t206 @t204 @t81 @t75 @t203 @t201 @t199 @t196 @t195 @t194 @t192 @t191 @t190 @t188 @t184 @t181 @t69 @t64 @t58 @t177 @t176 @t171 @t169 @t166 @t164 @t162 @t161 @t160 @t158 @t155 @t153 @t151 @t149 @t147 @t145 @t143 @t140 @t136 @t134 @t46 @t132 @t131 @t130 @t128 @t126 @t124 @t36 @t122 @t273 @t120))) % 1.86/2.17 ) % 1.86/2.17 % SZS output end Proof % 1.86/2.17 % cvc5 exiting %------------------------------------------------------------------------------