%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL154-1 : 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 11:22:15 AM UTC 2026 % Result : Unsatisfiable 2.03s 2.32s % Output : Proof 2.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL154-1 : 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 % 0.08/0.36 % Computer : n005.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 5 00:25:51 UTC 2026 % 0.08/0.36 % CPUTime : % 0.08/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.08/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.03/2.32 % SZS status Unsatisfiable % 2.03/2.32 % SZS output start Proof % 2.03/2.35 ( % 2.03/2.35 (declare-sort $$unsorted 0) % 2.03/2.35 (declare-const tptp.falsehood $$unsorted) % 2.03/2.35 (declare-const tptp.and_star (-> $$unsorted $$unsorted $$unsorted)) % 2.03/2.35 (declare-const tptp.x $$unsorted) % 2.03/2.35 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 2.03/2.35 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 2.03/2.35 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 2.03/2.35 (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted)) % 2.03/2.35 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 2.03/2.35 (declare-const tptp.truth $$unsorted) % 2.03/2.35 (define @t1 () (@var "X" $$unsorted)) % 2.03/2.35 (define @t2 () (tptp.implies tptp.truth @t1)) % 2.03/2.35 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 2.03/2.35 (define @t4 () (@var "Z" $$unsorted)) % 2.03/2.35 (define @t5 () (@var "Y" $$unsorted)) % 2.03/2.35 (define @t6 () (tptp.implies @t1 @t5)) % 2.03/2.35 (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4)))) % 2.03/2.35 (define @t8 () (@list @t1 @t5 @t4)) % 2.03/2.35 (define @t9 () (forall @t8 (= @t7 tptp.truth))) % 2.03/2.35 (define @t10 () (tptp.implies @t5 @t1)) % 2.03/2.35 (define @t11 () (@list @t1 @t5)) % 2.03/2.35 (define @t12 () (tptp.not @t5)) % 2.03/2.35 (define @t13 () (tptp.not @t1)) % 2.03/2.35 (define @t14 () (tptp.implies (tptp.implies @t13 @t12) @t10)) % 2.03/2.35 (define @t15 () (forall @t11 (= @t14 tptp.truth))) % 2.03/2.35 (define @t16 () (tptp.or @t1 @t5)) % 2.03/2.35 (define @t17 () (forall @t11 (= @t16 (tptp.implies @t13 @t5)))) % 2.03/2.35 (define @t18 () (tptp.not (tptp.or @t13 @t12))) % 2.03/2.35 (define @t19 () (tptp.and @t1 @t5)) % 2.03/2.35 (define @t20 () (forall @t8 (= (tptp.and @t19 @t4) (tptp.and @t1 (tptp.and @t5 @t4))))) % 2.03/2.35 (define @t21 () (forall @t11 (= @t19 (tptp.and @t5 @t1)))) % 2.03/2.35 (define @t22 () (tptp.xor @t1 @t5)) % 2.03/2.35 (define @t23 () (tptp.and_star @t1 @t5)) % 2.03/2.35 (define @t24 () (forall @t11 (= @t23 @t18))) % 2.03/2.35 (define @t25 () (tptp.not tptp.truth)) % 2.03/2.35 (define @t26 () (tptp.xor tptp.x tptp.falsehood)) % 2.03/2.35 (define @t27 () (tptp.not tptp.x)) % 2.03/2.35 (define @t28 () (tptp.and @t27 tptp.falsehood)) % 2.03/2.35 (define @t29 () (tptp.not tptp.falsehood)) % 2.03/2.35 (define @t30 () (tptp.and tptp.x @t29)) % 2.03/2.35 (define @t31 () (@list tptp.x @t29)) % 2.03/2.35 (define @t32 () (tptp.not @t29)) % 2.03/2.35 (define @t33 () (@list @t27 @t32)) % 2.03/2.35 (define @t34 () (tptp.not @t27)) % 2.03/2.35 (define @t35 () (@list @t34 @t29)) % 2.03/2.35 (define @t36 () (tptp.or @t34 @t29)) % 2.03/2.35 (define @t37 () (tptp.not @t36)) % 2.03/2.35 (define @t38 () (tptp.or @t27 @t32)) % 2.03/2.35 (define @t39 () (tptp.not @t38)) % 2.03/2.35 (define @t40 () (tptp.or @t39 @t37)) % 2.03/2.35 (define @t41 () (tptp.not @t34)) % 2.03/2.35 (define @t42 () (@list @t41 @t25)) % 2.03/2.35 (define @t43 () (@list tptp.falsehood @t27)) % 2.03/2.35 (define @t44 () (tptp.and @t25 tptp.truth)) % 2.03/2.35 (define @t45 () (tptp.and tptp.truth @t25)) % 2.03/2.35 (define @t46 () (@list @t45 @t44)) % 2.03/2.35 (define @t47 () (tptp.or tptp.falsehood @t27)) % 2.03/2.35 (define @t48 () (tptp.implies @t29 @t27)) % 2.03/2.35 (define @t49 () (= @t47 @t48)) % 2.03/2.35 (define @t50 () (= @t48 @t47)) % 2.03/2.35 (define @t51 () (@list false)) % 2.03/2.35 (define @t52 () (@list @t17)) % 2.03/2.35 (define @t53 () (tptp.or tptp.truth @t34)) % 2.03/2.35 (define @t54 () (tptp.implies @t25 @t34)) % 2.03/2.35 (define @t55 () (= @t53 @t54)) % 2.03/2.35 (define @t56 () (@list tptp.truth @t34)) % 2.03/2.35 (define @t57 () (= @t54 @t53)) % 2.03/2.35 (define @t58 () (tptp.or tptp.falsehood @t29)) % 2.03/2.35 (define @t59 () (tptp.implies @t29 @t29)) % 2.03/2.35 (define @t60 () (= @t58 @t59)) % 2.03/2.35 (define @t61 () (@list tptp.falsehood @t29)) % 2.03/2.35 (define @t62 () (= @t59 @t58)) % 2.03/2.35 (define @t63 () (tptp.or @t34 @t41)) % 2.03/2.35 (define @t64 () (tptp.implies @t41 @t41)) % 2.03/2.35 (define @t65 () (= @t63 @t64)) % 2.03/2.35 (define @t66 () (@list @t34 @t41)) % 2.03/2.35 (define @t67 () (= @t64 @t63)) % 2.03/2.35 (define @t68 () (tptp.and @t32 @t29)) % 2.03/2.35 (define @t69 () (tptp.and @t29 @t32)) % 2.03/2.35 (define @t70 () (@list tptp.truth @t25)) % 2.03/2.35 (define @t71 () (@list @t29 tptp.falsehood)) % 2.03/2.35 (define @t72 () (@list @t29 @t32)) % 2.03/2.35 (define @t73 () (tptp.not @t30)) % 2.03/2.35 (define @t74 () (@list @t30 @t73)) % 2.03/2.35 (define @t75 () (@list @t27 @t34)) % 2.03/2.35 (define @t76 () (@list @t29 tptp.truth)) % 2.03/2.35 (define @t77 () (tptp.not @t25)) % 2.03/2.35 (define @t78 () (tptp.and @t32 @t38)) % 2.03/2.35 (define @t79 () (tptp.and @t29 @t39)) % 2.03/2.35 (define @t80 () (tptp.or tptp.x @t25)) % 2.03/2.35 (define @t81 () (tptp.implies @t27 @t25)) % 2.03/2.35 (define @t82 () (= @t80 @t81)) % 2.03/2.35 (define @t83 () (@list tptp.x @t25)) % 2.03/2.35 (define @t84 () (= @t81 @t80)) % 2.03/2.35 (define @t85 () (tptp.and @t25 @t29)) % 2.03/2.35 (define @t86 () (tptp.and tptp.truth @t32)) % 2.03/2.35 (define @t87 () (@list tptp.truth @t27)) % 2.03/2.35 (define @t88 () (@list @t30 @t29)) % 2.03/2.35 (define @t89 () (tptp.not @t41)) % 2.03/2.35 (define @t90 () (@list @t27 @t89)) % 2.03/2.35 (define @t91 () (@list @t32 @t38)) % 2.03/2.35 (define @t92 () (@list @t89 @t27)) % 2.03/2.35 (define @t93 () (@list @t29 @t38)) % 2.03/2.35 (define @t94 () (tptp.or @t77 @t25)) % 2.03/2.35 (define @t95 () (@list @t94 @t94)) % 2.03/2.35 (define @t96 () (tptp.and @t29 tptp.x)) % 2.03/2.35 (define @t97 () (tptp.and @t96 @t29)) % 2.03/2.35 (define @t98 () (tptp.and @t29 @t30)) % 2.03/2.35 (define @t99 () (= @t97 @t98)) % 2.03/2.35 (define @t100 () (@list @t29 tptp.x @t29)) % 2.03/2.35 (define @t101 () (= @t98 @t97)) % 2.03/2.35 (define @t102 () (@list @t20)) % 2.03/2.35 (define @t103 () (tptp.and @t32 tptp.truth)) % 2.03/2.35 (define @t104 () (= @t86 @t103)) % 2.03/2.35 (define @t105 () (= @t103 @t86)) % 2.03/2.35 (define @t106 () (@list @t21)) % 2.03/2.35 (define @t107 () (tptp.and @t27 @t89)) % 2.03/2.35 (define @t108 () (tptp.and @t89 @t27)) % 2.03/2.35 (define @t109 () (= @t107 @t108)) % 2.03/2.35 (define @t110 () (= @t108 @t107)) % 2.03/2.35 (define @t111 () (tptp.and @t38 @t32)) % 2.03/2.35 (define @t112 () (= @t78 @t111)) % 2.03/2.35 (define @t113 () (= @t111 @t78)) % 2.03/2.35 (define @t114 () (tptp.or @t41 @t25)) % 2.03/2.35 (define @t115 () (tptp.implies tptp.truth @t77)) % 2.03/2.35 (define @t116 () (tptp.implies tptp.truth @t41)) % 2.03/2.35 (define @t117 () (@list @t32 @t30)) % 2.03/2.35 (define @t118 () (tptp.and @t27 @t34)) % 2.03/2.35 (define @t119 () (tptp.not @t118)) % 2.03/2.35 (define @t120 () (tptp.and @t119 @t27)) % 2.03/2.35 (define @t121 () (tptp.and @t120 @t34)) % 2.03/2.35 (define @t122 () (tptp.and @t119 @t118)) % 2.03/2.35 (define @t123 () (= @t121 @t122)) % 2.03/2.35 (define @t124 () (@list @t119 @t27 @t34)) % 2.03/2.35 (define @t125 () (= @t122 @t121)) % 2.03/2.35 (define @t126 () (tptp.or tptp.falsehood tptp.x)) % 2.03/2.35 (define @t127 () (tptp.implies @t29 tptp.x)) % 2.03/2.35 (define @t128 () (= @t126 @t127)) % 2.03/2.35 (define @t129 () (= @t127 @t126)) % 2.03/2.35 (define @t130 () (not @t129)) % 2.03/2.35 (define @t131 () (tptp.implies @t89 @t34)) % 2.03/2.35 (define @t132 () (tptp.implies tptp.falsehood @t34)) % 2.03/2.35 (define @t133 () (tptp.implies @t132 @t131)) % 2.03/2.35 (define @t134 () (tptp.implies @t89 tptp.falsehood)) % 2.03/2.35 (define @t135 () (tptp.implies @t134 @t133)) % 2.03/2.35 (define @t136 () (= tptp.truth @t135)) % 2.03/2.35 (define @t137 () (not @t136)) % 2.03/2.35 (define @t138 () (= @t27 (tptp.implies tptp.truth @t27))) % 2.03/2.35 (define @t139 () (not @t138)) % 2.03/2.35 (define @t140 () (= @t30 (tptp.implies tptp.truth @t30))) % 2.03/2.35 (define @t141 () (not @t140)) % 2.03/2.35 (define @t142 () (tptp.and_star @t89 @t27)) % 2.03/2.35 (define @t143 () (tptp.not @t89)) % 2.03/2.35 (define @t144 () (tptp.not (tptp.or @t143 @t34))) % 2.03/2.35 (define @t145 () (= @t144 @t142)) % 2.03/2.35 (define @t146 () (not @t145)) % 2.03/2.35 (define @t147 () (tptp.and_star @t30 @t29)) % 2.03/2.35 (define @t148 () (tptp.not (tptp.or @t73 @t32))) % 2.03/2.35 (define @t149 () (= @t148 @t147)) % 2.03/2.35 (define @t150 () (not @t149)) % 2.03/2.35 (define @t151 () (tptp.and_star tptp.truth @t27)) % 2.03/2.35 (define @t152 () (tptp.not (tptp.or @t25 @t34))) % 2.03/2.35 (define @t153 () (= @t152 @t151)) % 2.03/2.35 (define @t154 () (not @t153)) % 2.03/2.35 (define @t155 () (tptp.and_star @t29 @t38)) % 2.03/2.35 (define @t156 () (tptp.or @t32 @t39)) % 2.03/2.35 (define @t157 () (tptp.not @t156)) % 2.03/2.35 (define @t158 () (= @t157 @t155)) % 2.03/2.35 (define @t159 () (not @t158)) % 2.03/2.35 (define @t160 () (tptp.and_star tptp.falsehood @t38)) % 2.03/2.35 (define @t161 () (= (tptp.not (tptp.or @t29 @t39)) @t160)) % 2.03/2.35 (define @t162 () (not @t161)) % 2.03/2.35 (define @t163 () (tptp.or @t25 @t73)) % 2.03/2.35 (define @t164 () (tptp.not @t163)) % 2.03/2.35 (define @t165 () (= @t164 (tptp.and_star tptp.truth @t30))) % 2.03/2.35 (define @t166 () (not @t165)) % 2.03/2.35 (define @t167 () (not @t125)) % 2.03/2.35 (define @t168 () (tptp.and @t118 @t119)) % 2.03/2.35 (define @t169 () (= @t168 (tptp.and @t27 (tptp.and @t34 @t119)))) % 2.03/2.35 (define @t170 () (not @t169)) % 2.03/2.35 (define @t171 () (tptp.or @t29 @t89)) % 2.03/2.35 (define @t172 () (tptp.not @t171)) % 2.03/2.35 (define @t173 () (= (tptp.and tptp.falsehood @t41) @t172)) % 2.03/2.35 (define @t174 () (not @t173)) % 2.03/2.35 (define @t175 () (tptp.or @t32 @t30)) % 2.03/2.35 (define @t176 () (= @t175 (tptp.or @t30 @t32))) % 2.03/2.35 (define @t177 () (not @t176)) % 2.03/2.35 (define @t178 () (= @t80 (tptp.or @t25 tptp.x))) % 2.03/2.35 (define @t179 () (not @t178)) % 2.03/2.35 (define @t180 () (tptp.or @t38 tptp.falsehood)) % 2.03/2.35 (define @t181 () (= @t180 (tptp.or @t27 (tptp.or @t32 tptp.falsehood)))) % 2.03/2.35 (define @t182 () (not @t181)) % 2.03/2.35 (define @t183 () (tptp.not @t32)) % 2.03/2.35 (define @t184 () (tptp.implies @t183 @t30)) % 2.03/2.35 (define @t185 () (= @t175 @t184)) % 2.03/2.35 (define @t186 () (not @t185)) % 2.03/2.35 (define @t187 () (tptp.or @t34 @t25)) % 2.03/2.35 (define @t188 () (= @t187 (tptp.implies @t41 @t25))) % 2.03/2.35 (define @t189 () (not @t188)) % 2.03/2.35 (define @t190 () (= tptp.truth (tptp.implies (tptp.implies @t32 @t25) (tptp.implies tptp.truth @t29)))) % 2.03/2.35 (define @t191 () (not @t190)) % 2.03/2.35 (define @t192 () (tptp.implies @t77 @t116)) % 2.03/2.35 (define @t193 () (tptp.implies @t192 @t116)) % 2.03/2.35 (define @t194 () (= @t193 (tptp.implies (tptp.implies @t116 @t77) @t77))) % 2.03/2.35 (define @t195 () (not @t194)) % 2.03/2.35 (define @t196 () (tptp.implies @t41 tptp.truth)) % 2.03/2.35 (define @t197 () (tptp.implies @t196 tptp.truth)) % 2.03/2.35 (define @t198 () (= (tptp.implies @t116 @t41) @t197)) % 2.03/2.35 (define @t199 () (not @t198)) % 2.03/2.35 (define @t200 () (tptp.implies tptp.truth @t115)) % 2.03/2.35 (define @t201 () (tptp.implies @t200 @t115)) % 2.03/2.35 (define @t202 () (= (tptp.implies (tptp.implies @t115 tptp.truth) tptp.truth) @t201)) % 2.03/2.35 (define @t203 () (not @t202)) % 2.03/2.35 (define @t204 () (= @t77 @t115)) % 2.03/2.35 (define @t205 () (not @t204)) % 2.03/2.35 (define @t206 () (= tptp.falsehood (tptp.implies tptp.truth tptp.falsehood))) % 2.03/2.35 (define @t207 () (not @t206)) % 2.03/2.35 (define @t208 () (tptp.and_star @t34 @t41)) % 2.03/2.35 (define @t209 () (tptp.not (tptp.or @t41 @t89))) % 2.03/2.35 (define @t210 () (= @t209 @t208)) % 2.03/2.35 (define @t211 () (not @t210)) % 2.03/2.35 (define @t212 () (tptp.not @t73)) % 2.03/2.35 (define @t213 () (tptp.not (tptp.or @t73 @t212))) % 2.03/2.35 (define @t214 () (= @t213 (tptp.and_star @t30 @t73))) % 2.03/2.35 (define @t215 () (not @t214)) % 2.03/2.35 (define @t216 () (tptp.and_star @t29 @t32)) % 2.03/2.35 (define @t217 () (tptp.not (tptp.or @t32 @t183))) % 2.03/2.35 (define @t218 () (= @t217 @t216)) % 2.03/2.35 (define @t219 () (not @t218)) % 2.03/2.35 (define @t220 () (tptp.not (tptp.or @t32 @t29))) % 2.03/2.35 (define @t221 () (= @t220 (tptp.and_star @t29 tptp.falsehood))) % 2.03/2.35 (define @t222 () (not @t221)) % 2.03/2.35 (define @t223 () (tptp.and_star @t94 @t94)) % 2.03/2.35 (define @t224 () (tptp.not @t94)) % 2.03/2.35 (define @t225 () (tptp.or @t224 @t224)) % 2.03/2.35 (define @t226 () (tptp.not @t225)) % 2.03/2.35 (define @t227 () (= @t226 @t223)) % 2.03/2.35 (define @t228 () (not @t227)) % 2.03/2.35 (define @t229 () (tptp.and @t34 @t114)) % 2.03/2.35 (define @t230 () (tptp.and @t114 @t34)) % 2.03/2.35 (define @t231 () (= @t230 @t229)) % 2.03/2.35 (define @t232 () (not @t231)) % 2.03/2.35 (define @t233 () (not @t113)) % 2.03/2.35 (define @t234 () (not @t110)) % 2.03/2.35 (define @t235 () (not @t105)) % 2.03/2.35 (define @t236 () (not @t101)) % 2.03/2.35 (define @t237 () (tptp.and @t29 @t29)) % 2.03/2.35 (define @t238 () (tptp.and tptp.x @t237)) % 2.03/2.35 (define @t239 () (tptp.and @t30 @t29)) % 2.03/2.35 (define @t240 () (= @t239 @t238)) % 2.03/2.35 (define @t241 () (not @t240)) % 2.03/2.35 (define @t242 () (= (tptp.and @t94 @t94) @t226)) % 2.03/2.35 (define @t243 () (not @t242)) % 2.03/2.35 (define @t244 () (= (tptp.and @t29 @t38) @t157)) % 2.03/2.35 (define @t245 () (not @t244)) % 2.03/2.35 (define @t246 () (= @t98 (tptp.not (tptp.or @t32 @t73)))) % 2.03/2.35 (define @t247 () (not @t246)) % 2.03/2.35 (define @t248 () (= @t108 @t144)) % 2.03/2.35 (define @t249 () (not @t248)) % 2.03/2.35 (define @t250 () (tptp.or @t183 @t39)) % 2.03/2.35 (define @t251 () (tptp.not @t250)) % 2.03/2.35 (define @t252 () (= @t78 @t251)) % 2.03/2.35 (define @t253 () (not @t252)) % 2.03/2.35 (define @t254 () (tptp.not (tptp.or @t34 @t143))) % 2.03/2.35 (define @t255 () (= @t107 @t254)) % 2.03/2.35 (define @t256 () (not @t255)) % 2.03/2.35 (define @t257 () (= @t239 @t148)) % 2.03/2.35 (define @t258 () (not @t257)) % 2.03/2.35 (define @t259 () (tptp.not (tptp.or @t29 @t212))) % 2.03/2.35 (define @t260 () (tptp.and tptp.falsehood @t73)) % 2.03/2.35 (define @t261 () (= @t260 @t259)) % 2.03/2.35 (define @t262 () (not @t261)) % 2.03/2.35 (define @t263 () (tptp.and tptp.truth @t27)) % 2.03/2.35 (define @t264 () (= @t263 @t152)) % 2.03/2.35 (define @t265 () (not @t264)) % 2.03/2.35 (define @t266 () (tptp.or @t86 @t85)) % 2.03/2.35 (define @t267 () (= @t266 (tptp.or @t85 @t86))) % 2.03/2.35 (define @t268 () (not @t267)) % 2.03/2.35 (define @t269 () (tptp.or @t41 @t34)) % 2.03/2.35 (define @t270 () (= @t63 @t269)) % 2.03/2.35 (define @t271 () (not @t270)) % 2.03/2.35 (define @t272 () (tptp.or @t29 tptp.falsehood)) % 2.03/2.35 (define @t273 () (= @t58 @t272)) % 2.03/2.35 (define @t274 () (not @t273)) % 2.03/2.35 (define @t275 () (tptp.or @t27 tptp.falsehood)) % 2.03/2.35 (define @t276 () (= @t47 @t275)) % 2.03/2.35 (define @t277 () (not @t276)) % 2.03/2.35 (define @t278 () (tptp.or @t34 tptp.truth)) % 2.03/2.35 (define @t279 () (= @t53 @t278)) % 2.03/2.35 (define @t280 () (not @t279)) % 2.03/2.35 (define @t281 () (tptp.implies @t39 tptp.falsehood)) % 2.03/2.35 (define @t282 () (= @t180 @t281)) % 2.03/2.35 (define @t283 () (not @t282)) % 2.03/2.35 (define @t284 () (not @t84)) % 2.03/2.35 (define @t285 () (tptp.not @t79)) % 2.03/2.35 (define @t286 () (tptp.implies @t285 @t78)) % 2.03/2.35 (define @t287 () (= (tptp.or @t79 @t78) @t286)) % 2.03/2.35 (define @t288 () (not @t287)) % 2.03/2.35 (define @t289 () (tptp.not @t77)) % 2.03/2.35 (define @t290 () (tptp.implies @t289 @t25)) % 2.03/2.35 (define @t291 () (= @t94 @t290)) % 2.03/2.35 (define @t292 () (not @t291)) % 2.03/2.35 (define @t293 () (= @t269 @t131)) % 2.03/2.35 (define @t294 () (not @t293)) % 2.03/2.35 (define @t295 () (tptp.implies @t77 @t41)) % 2.03/2.35 (define @t296 () (tptp.implies @t295 @t116)) % 2.03/2.35 (define @t297 () (tptp.implies @t115 @t296)) % 2.03/2.35 (define @t298 () (= tptp.truth @t297)) % 2.03/2.35 (define @t299 () (not @t298)) % 2.03/2.35 (define @t300 () (= @t41 @t116)) % 2.03/2.35 (define @t301 () (not @t300)) % 2.03/2.35 (define @t302 () (= tptp.x (tptp.implies tptp.truth tptp.x))) % 2.03/2.35 (define @t303 () (not @t302)) % 2.03/2.35 (define @t304 () (tptp.and_star tptp.truth @t34)) % 2.03/2.35 (define @t305 () (tptp.or @t25 @t41)) % 2.03/2.35 (define @t306 () (= (tptp.not @t305) @t304)) % 2.03/2.35 (define @t307 () (not @t306)) % 2.03/2.35 (define @t308 () (tptp.xor tptp.truth @t29)) % 2.03/2.35 (define @t309 () (= @t308 @t266)) % 2.03/2.35 (define @t310 () (not @t309)) % 2.03/2.35 (define @t311 () (tptp.and @t29 @t25)) % 2.03/2.35 (define @t312 () (tptp.or @t311 @t103)) % 2.03/2.35 (define @t313 () (= (tptp.xor @t29 tptp.truth) @t312)) % 2.03/2.35 (define @t314 () (not @t313)) % 2.03/2.35 (define @t315 () (tptp.and @t34 @t27)) % 2.03/2.35 (define @t316 () (= @t118 @t315)) % 2.03/2.35 (define @t317 () (not @t316)) % 2.03/2.35 (define @t318 () (tptp.and @t73 @t30)) % 2.03/2.35 (define @t319 () (tptp.and @t30 @t73)) % 2.03/2.35 (define @t320 () (= @t319 @t318)) % 2.03/2.35 (define @t321 () (not @t320)) % 2.03/2.35 (define @t322 () (= @t69 @t68)) % 2.03/2.35 (define @t323 () (not @t322)) % 2.03/2.35 (define @t324 () (tptp.and @t29 tptp.falsehood)) % 2.03/2.35 (define @t325 () (tptp.and tptp.falsehood @t29)) % 2.03/2.35 (define @t326 () (= @t325 @t324)) % 2.03/2.35 (define @t327 () (not @t326)) % 2.03/2.35 (define @t328 () (= @t45 @t44)) % 2.03/2.35 (define @t329 () (not @t328)) % 2.03/2.35 (define @t330 () (tptp.and @t34 @t41)) % 2.03/2.35 (define @t331 () (= @t330 @t209)) % 2.03/2.35 (define @t332 () (not @t331)) % 2.03/2.35 (define @t333 () (tptp.not @t269)) % 2.03/2.35 (define @t334 () (= @t315 @t333)) % 2.03/2.35 (define @t335 () (not @t334)) % 2.03/2.35 (define @t336 () (tptp.not (tptp.or @t183 @t32))) % 2.03/2.35 (define @t337 () (= @t68 @t336)) % 2.03/2.35 (define @t338 () (not @t337)) % 2.03/2.35 (define @t339 () (tptp.not @t63)) % 2.03/2.35 (define @t340 () (= @t118 @t339)) % 2.03/2.35 (define @t341 () (not @t340)) % 2.03/2.35 (define @t342 () (= @t319 @t213)) % 2.03/2.35 (define @t343 () (not @t342)) % 2.03/2.35 (define @t344 () (= @t69 @t217)) % 2.03/2.35 (define @t345 () (not @t344)) % 2.03/2.35 (define @t346 () (= @t324 @t220)) % 2.03/2.35 (define @t347 () (not @t346)) % 2.03/2.35 (define @t348 () (= @t44 @t224)) % 2.03/2.35 (define @t349 () (not @t348)) % 2.03/2.35 (define @t350 () (tptp.or @t25 @t77)) % 2.03/2.35 (define @t351 () (tptp.not @t350)) % 2.03/2.35 (define @t352 () (= @t45 @t351)) % 2.03/2.35 (define @t353 () (not @t352)) % 2.03/2.35 (define @t354 () (tptp.or @t69 @t68)) % 2.03/2.35 (define @t355 () (= @t354 (tptp.or @t68 @t69))) % 2.03/2.35 (define @t356 () (not @t355)) % 2.03/2.35 (define @t357 () (tptp.or @t44 @t45)) % 2.03/2.35 (define @t358 () (tptp.or @t45 @t44)) % 2.03/2.35 (define @t359 () (= @t358 @t357)) % 2.03/2.35 (define @t360 () (not @t359)) % 2.03/2.35 (define @t361 () (not @t67)) % 2.03/2.35 (define @t362 () (not @t62)) % 2.03/2.35 (define @t363 () (not @t57)) % 2.03/2.35 (define @t364 () (not @t50)) % 2.03/2.35 (define @t365 () (tptp.not @t45)) % 2.03/2.35 (define @t366 () (tptp.implies @t365 @t44)) % 2.03/2.35 (define @t367 () (= @t358 @t366)) % 2.03/2.35 (define @t368 () (not @t367)) % 2.03/2.35 (define @t369 () (= @t305 @t295)) % 2.03/2.35 (define @t370 () (not @t369)) % 2.03/2.35 (define @t371 () (tptp.implies @t89 @t25)) % 2.03/2.35 (define @t372 () (= tptp.truth (tptp.implies @t371 @t116))) % 2.03/2.35 (define @t373 () (not @t372)) % 2.03/2.35 (define @t374 () (tptp.implies tptp.truth tptp.truth)) % 2.03/2.35 (define @t375 () (= tptp.truth @t374)) % 2.03/2.35 (define @t376 () (not @t375)) % 2.03/2.35 (define @t377 () (tptp.or @t29 @t34)) % 2.03/2.35 (define @t378 () (tptp.not @t377)) % 2.03/2.35 (define @t379 () (= @t378 (tptp.and_star tptp.falsehood @t27))) % 2.03/2.35 (define @t380 () (not @t379)) % 2.03/2.35 (define @t381 () (tptp.and_star @t29 tptp.x)) % 2.03/2.35 (define @t382 () (tptp.or @t32 @t27)) % 2.03/2.35 (define @t383 () (tptp.not @t382)) % 2.03/2.35 (define @t384 () (= @t383 @t381)) % 2.03/2.35 (define @t385 () (not @t384)) % 2.03/2.35 (define @t386 () (tptp.xor @t29 @t29)) % 2.03/2.35 (define @t387 () (= @t386 @t354)) % 2.03/2.35 (define @t388 () (not @t387)) % 2.03/2.35 (define @t389 () (= (tptp.xor tptp.truth tptp.truth) @t358)) % 2.03/2.35 (define @t390 () (not @t389)) % 2.03/2.35 (define @t391 () (= @t114 @t305)) % 2.03/2.35 (define @t392 () (not @t391)) % 2.03/2.35 (define @t393 () (= @t114 @t371)) % 2.03/2.35 (define @t394 () (not @t393)) % 2.03/2.35 (define @t395 () (tptp.not @t40)) % 2.03/2.35 (define @t396 () (tptp.implies (tptp.implies @t395 @t395) (tptp.implies @t40 @t40))) % 2.03/2.35 (define @t397 () (= tptp.truth @t396)) % 2.03/2.35 (define @t398 () (not @t397)) % 2.03/2.35 (define @t399 () (tptp.not @t114)) % 2.03/2.35 (define @t400 () (tptp.and @t34 tptp.truth)) % 2.03/2.35 (define @t401 () (= @t400 @t399)) % 2.03/2.35 (define @t402 () (not @t401)) % 2.03/2.35 (define @t403 () (= @t36 @t377)) % 2.03/2.35 (define @t404 () (not @t403)) % 2.03/2.35 (define @t405 () (= @t38 @t382)) % 2.03/2.35 (define @t406 () (not @t405)) % 2.03/2.35 (define @t407 () (tptp.implies @t41 @t29)) % 2.03/2.35 (define @t408 () (= @t36 @t407)) % 2.03/2.35 (define @t409 () (not @t408)) % 2.03/2.35 (define @t410 () (= @t38 (tptp.implies @t34 @t32))) % 2.03/2.35 (define @t411 () (not @t410)) % 2.03/2.35 (define @t412 () (= @t30 @t96)) % 2.03/2.35 (define @t413 () (not @t412)) % 2.03/2.35 (define @t414 () (= @t28 @t37)) % 2.03/2.35 (define @t415 () (not @t414)) % 2.03/2.35 (define @t416 () (= @t30 @t39)) % 2.03/2.35 (define @t417 () (not @t416)) % 2.03/2.35 (define @t418 () (tptp.or @t30 @t28)) % 2.03/2.35 (define @t419 () (= @t418 (tptp.implies @t73 @t28))) % 2.03/2.35 (define @t420 () (not @t419)) % 2.03/2.35 (define @t421 () (= @t26 @t418)) % 2.03/2.35 (define @t422 () (not @t421)) % 2.03/2.35 (define @t423 () (= tptp.x @t26)) % 2.03/2.35 (define @t424 () (= tptp.falsehood @t25)) % 2.03/2.35 (define @t425 () (not @t424)) % 2.03/2.35 (define @t426 () (not @t423)) % 2.03/2.35 (define @t427 () (tptp.and @t351 @t350)) % 2.03/2.35 (define @t428 () (tptp.and @t350 @t351)) % 2.03/2.35 (define @t429 () (tptp.not @t428)) % 2.03/2.35 (define @t430 () (tptp.or @t336 @t336)) % 2.03/2.35 (define @t431 () (tptp.not @t239)) % 2.03/2.35 (define @t432 () (tptp.and @t39 @t29)) % 2.03/2.35 (define @t433 () (tptp.or @t29 @t399)) % 2.03/2.35 (define @t434 () (tptp.or @t148 @t254)) % 2.03/2.35 (define @t435 () (tptp.or @t32 @t32)) % 2.03/2.35 (define @t436 () (tptp.and @t63 @t27)) % 2.03/2.35 (define @t437 () (tptp.not @t230)) % 2.03/2.35 (define @t438 () (tptp.not @t330)) % 2.03/2.36 (define @t439 () (tptp.not @t438)) % 2.03/2.36 (define @t440 () (tptp.and @t439 @t27)) % 2.03/2.36 (define @t441 () (tptp.and @t438 @t34)) % 2.03/2.36 (define @t442 () (tptp.not @t400)) % 2.03/2.36 (define @t443 () (tptp.not @t399)) % 2.03/2.36 (define @t444 () (tptp.not @t442)) % 2.03/2.36 (define @t445 () (tptp.or @t444 @t183)) % 2.03/2.36 (define @t446 () (and @t424 @t426 @t421 @t419 @t416 @t414 @t412 @t410 @t408 @t405 @t403 @t401 @t397 @t393 @t391 @t389 @t387 @t384 @t379 @t375 @t372 @t369 @t367 @t50 @t57 @t62 @t67 @t359 @t355 @t352 @t348 @t346 @t344 @t342 @t340 @t337 @t334 @t331 @t328 @t326 @t322 @t320 @t316 @t313 @t309 @t306 @t302 @t300 @t298 @t293 @t291 @t287 @t84 @t282 @t279 @t276 @t273 @t270 @t267 @t264 @t261 @t257 @t255 @t252 @t248 @t246 @t244 @t242 @t240 @t101 @t105 @t110 @t113 @t231 @t227 @t221 @t218 @t214 @t210 @t206 @t204 @t202 @t198 @t194 @t190 @t188 @t185 @t181 @t178 @t176 @t173 @t169 @t125 @t165 @t161 @t158 @t153 @t149 @t145 @t140 @t138 @t136)) % 2.03/2.36 (assume @p1 @t3) % 2.03/2.36 (assume @p2 @t9) % 2.03/2.36 (assume @p3 (forall @t11 (= (tptp.implies @t6 @t5) (tptp.implies @t10 @t1)))) % 2.03/2.36 (assume @p4 @t15) % 2.03/2.36 (assume @p5 @t17) % 2.03/2.36 (assume @p6 (forall @t8 (= (tptp.or @t16 @t4) (tptp.or @t1 (tptp.or @t5 @t4))))) % 2.03/2.36 (assume @p7 (forall @t11 (= @t16 (tptp.or @t5 @t1)))) % 2.03/2.36 (assume @p8 (forall @t11 (= @t19 @t18))) % 2.03/2.36 (assume @p9 @t20) % 2.03/2.36 (assume @p10 @t21) % 2.03/2.36 (assume @p11 (forall @t11 (= @t22 (tptp.or (tptp.and @t1 @t12) (tptp.and @t13 @t5))))) % 2.03/2.36 (assume @p12 (forall @t11 (= @t22 (tptp.xor @t5 @t1)))) % 2.03/2.36 (assume @p13 @t24) % 2.03/2.36 (assume @p14 (forall @t8 (= (tptp.and_star @t23 @t4) (tptp.and_star @t1 (tptp.and_star @t5 @t4))))) % 2.03/2.36 (assume @p15 (forall @t11 (= @t23 (tptp.and_star @t5 @t1)))) % 2.03/2.36 (assume @p16 (= @t25 tptp.falsehood)) % 2.03/2.36 (assume @p17 (not (= @t26 tptp.x))) % 2.03/2.36 (step @p18 :rule symm :premises (@p16)) % 2.03/2.36 (step @p19 :rule symm :premises (@p17)) % 2.03/2.36 (step @p20 :rule instantiate :premises (@p11) :args ((@list tptp.x tptp.falsehood))) % 2.03/2.36 (step @p21 :rule instantiate :premises (@p5) :args ((@list @t30 @t28))) % 2.03/2.36 (step @p22 :rule instantiate :premises (@p8) :args (@t31)) % 2.03/2.36 (step @p23 :rule instantiate :premises (@p8) :args ((@list @t27 tptp.falsehood))) % 2.03/2.36 (step @p24 :rule instantiate :premises (@p10) :args (@t31)) % 2.03/2.36 (step @p25 :rule instantiate :premises (@p5) :args (@t33)) % 2.03/2.36 (step @p26 :rule instantiate :premises (@p5) :args (@t35)) % 2.03/2.36 (step @p27 :rule instantiate :premises (@p7) :args (@t33)) % 2.03/2.36 (step @p28 :rule instantiate :premises (@p7) :args (@t35)) % 2.03/2.36 (step @p29 :rule instantiate :premises (@p8) :args ((@list @t34 tptp.truth))) % 2.03/2.36 (step @p30 :rule eq-symm :args (@t14 tptp.truth)) % 2.03/2.36 (step @p31 :rule cong :premises (@p30) :args (@t15)) % 2.03/2.36 (step @p32 :rule eq_resolve :premises (@p4 @p31)) % 2.03/2.36 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t40 @t40))) % 2.03/2.36 (step @p34 :rule instantiate :premises (@p5) :args (@t42)) % 2.03/2.36 (step @p35 :rule instantiate :premises (@p7) :args (@t42)) % 2.03/2.36 (step @p36 :rule instantiate :premises (@p11) :args ((@list tptp.truth tptp.truth))) % 2.03/2.36 (step @p37 :rule instantiate :premises (@p11) :args ((@list @t29 @t29))) % 2.03/2.36 (step @p38 :rule eq-symm :args (@t23 @t18)) % 2.03/2.36 (step @p39 :rule cong :premises (@p38) :args (@t24)) % 2.03/2.36 (step @p40 :rule eq_resolve :premises (@p13 @p39)) % 2.03/2.36 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t29 tptp.x))) % 2.03/2.36 (step @p42 :rule instantiate :premises (@p40) :args (@t43)) % 2.03/2.36 (step @p43 :rule eq-symm :args (@t2 @t1)) % 2.03/2.36 (step @p44 :rule cong :premises (@p43) :args (@t3)) % 2.03/2.36 (step @p45 :rule eq_resolve :premises (@p1 @p44)) % 2.03/2.36 (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.truth))) % 2.03/2.36 (step @p47 :rule instantiate :premises (@p32) :args ((@list @t41 tptp.truth))) % 2.03/2.36 (step @p48 :rule instantiate :premises (@p5) :args ((@list @t25 @t41))) % 2.03/2.36 (step @p49 :rule instantiate :premises (@p5) :args (@t46)) % 2.03/2.36 (step @p50 :rule eq-symm :args (@t47 @t48)) % 2.03/2.36 (step @p51 :rule refl :args (@t17)) % 2.03/2.36 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t17 @t49))) % 2.03/2.36 (assume-push @p1003 @t17) % 2.03/2.36 (step @p54 :rule instantiate :premises (@p5) :args (@t43)) % 2.03/2.36 (step-pop @p1004 :rule scope :premises (@p54)) % 2.03/2.36 (step @p55 :rule process_scope :premises (@p1004) :args (@t49)) % 2.03/2.36 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 2.03/2.36 (step @p58 :rule implies_elim :premises (@p57)) % 2.03/2.36 (step @p59 :rule chain_m_resolution :premises (@p58 @p5) :args (@t50 @t51 @t52)) % 2.03/2.36 (step @p60 :rule eq-symm :args (@t53 @t54)) % 2.03/2.36 (step @p61 :rule cong :premises (@p51 @p60) :args ((=> @t17 @t55))) % 2.03/2.36 (assume-push @p1005 @t17) % 2.03/2.36 (step @p63 :rule instantiate :premises (@p5) :args (@t56)) % 2.03/2.36 (step-pop @p1006 :rule scope :premises (@p63)) % 2.03/2.36 (step @p64 :rule process_scope :premises (@p1006) :args (@t55)) % 2.03/2.36 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 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@t167 @t166 @t162 @t159 @t154 @t150 @t146 @t141 @t139 @t137 @t130))) % 2.03/2.36 (step @p1002 false :rule chain_m_resolution :premises (@p1001 @p223 @p214 @p213 @p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p196 @p195 @p194 @p193 @p192 @p191 @p190 @p189 @p188 @p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p168 @p159 @p149 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p114 @p113 @p112 @p111 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p77 @p68 @p59 @p49 @p48 @p47 @p46 @p42 @p41 @p37 @p36 @p35 @p34 @p33 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @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 false false false false false false false false false false false false false false false false false true false) (@list @t129 @t136 @t138 @t140 @t145 @t149 @t153 @t158 @t161 @t165 @t125 @t169 @t173 @t176 @t178 @t181 @t185 @t188 @t190 @t194 @t198 @t202 @t204 @t206 @t210 @t214 @t218 @t221 @t227 @t231 @t113 @t110 @t105 @t101 @t240 @t242 @t244 @t246 @t248 @t252 @t255 @t257 @t261 @t264 @t267 @t270 @t273 @t276 @t279 @t282 @t84 @t287 @t291 @t293 @t298 @t300 @t302 @t306 @t309 @t313 @t316 @t320 @t322 @t326 @t328 @t331 @t334 @t337 @t340 @t342 @t344 @t346 @t348 @t352 @t355 @t359 @t67 @t62 @t57 @t50 @t367 @t369 @t372 @t375 @t379 @t384 @t387 @t389 @t391 @t393 @t397 @t401 @t403 @t405 @t408 @t410 @t412 @t414 @t416 @t419 @t421 @t423 @t424))) % 2.03/2.36 ) % 2.03/2.36 % SZS output end Proof % 2.03/2.37 % cvc5 exiting %------------------------------------------------------------------------------