%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN917+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:10:03 AM UTC 2026 % Result : Theorem 0.36s 0.62s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYN917+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.31 % Computer : n004.cluster.edu % 0.15/0.31 % Model : x86_64 x86_64 % 0.15/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.31 % Memory : 8042.1875MB % 0.15/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.31 % CPULimit : 300 % 0.15/0.31 % WCLimit : 300 % 0.15/0.31 % DateTime : Tue Jun 2 23:47:37 EDT 2026 % 0.15/0.31 % CPUTime : % 0.28/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort $$unsorted 0) % 0.36/0.62 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.f (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.g (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.h (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.q (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.p (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.c Bool) % 0.36/0.62 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.62 (define @t2 () (tptp.p @t1)) % 0.36/0.62 (define @t3 () (@list @t1)) % 0.36/0.62 (define @t4 () (exists @t3 @t2)) % 0.36/0.62 (define @t5 () (=> @t4 tptp.c)) % 0.36/0.62 (define @t6 () (=> @t2 tptp.c)) % 0.36/0.62 (define @t7 () (forall @t3 @t6)) % 0.36/0.62 (define @t8 () (= @t7 @t5)) % 0.36/0.62 (define @t9 () (forall @t3 @t2)) % 0.36/0.62 (define @t10 () (=> tptp.c @t9)) % 0.36/0.62 (define @t11 () (=> tptp.c @t2)) % 0.36/0.62 (define @t12 () (forall @t3 @t11)) % 0.36/0.62 (define @t13 () (= @t12 @t10)) % 0.36/0.62 (define @t14 () (=> @t9 tptp.c)) % 0.36/0.62 (define @t15 () (exists @t3 @t6)) % 0.36/0.62 (define @t16 () (= @t15 @t14)) % 0.36/0.62 (define @t17 () (=> tptp.c @t4)) % 0.36/0.62 (define @t18 () (exists @t3 @t11)) % 0.36/0.62 (define @t19 () (= @t18 @t17)) % 0.36/0.62 (define @t20 () (forall @t3 tptp.c)) % 0.36/0.62 (define @t21 () (= @t20 tptp.c)) % 0.36/0.62 (define @t22 () (exists @t3 tptp.c)) % 0.36/0.62 (define @t23 () (and @t4 tptp.c)) % 0.36/0.62 (define @t24 () (and @t2 tptp.c)) % 0.36/0.62 (define @t25 () (exists @t3 @t24)) % 0.36/0.62 (define @t26 () (= @t25 @t23)) % 0.36/0.62 (define @t27 () (or @t9 tptp.c)) % 0.36/0.62 (define @t28 () (or @t2 tptp.c)) % 0.36/0.62 (define @t29 () (forall @t3 @t28)) % 0.36/0.62 (define @t30 () (= @t29 @t27)) % 0.36/0.62 (define @t31 () (@var "Y" $$unsorted)) % 0.36/0.62 (define @t32 () (tptp.p @t31)) % 0.36/0.62 (define @t33 () (=> @t4 @t32)) % 0.36/0.62 (define @t34 () (@list @t31)) % 0.36/0.62 (define @t35 () (forall @t34 @t33)) % 0.36/0.62 (define @t36 () (exists @t34 @t32)) % 0.36/0.62 (define @t37 () (not @t36)) % 0.36/0.62 (define @t38 () (=> @t37 @t35)) % 0.36/0.62 (define @t39 () (=> @t9 @t4)) % 0.36/0.62 (define @t40 () (forall @t34 (=> @t9 @t32))) % 0.36/0.62 (define @t41 () (tptp.q @t1)) % 0.36/0.62 (define @t42 () (exists @t3 @t41)) % 0.36/0.62 (define @t43 () (and @t4 @t42)) % 0.36/0.62 (define @t44 () (and @t2 @t41)) % 0.36/0.62 (define @t45 () (exists @t3 @t44)) % 0.36/0.62 (define @t46 () (=> @t45 @t43)) % 0.36/0.62 (define @t47 () (=> @t32 @t9)) % 0.36/0.62 (define @t48 () (exists @t34 @t47)) % 0.36/0.62 (define @t49 () (or @t4 @t42)) % 0.36/0.62 (define @t50 () (or @t2 @t41)) % 0.36/0.62 (define @t51 () (exists @t3 @t50)) % 0.36/0.62 (define @t52 () (= @t51 @t49)) % 0.36/0.62 (define @t53 () (forall @t3 @t50)) % 0.36/0.62 (define @t54 () (forall @t3 @t41)) % 0.36/0.62 (define @t55 () (or @t9 @t54)) % 0.36/0.62 (define @t56 () (=> @t55 @t53)) % 0.36/0.62 (define @t57 () (and @t9 @t54)) % 0.36/0.62 (define @t58 () (= (forall @t3 @t44) @t57)) % 0.36/0.62 (define @t59 () (=> @t2 @t41)) % 0.36/0.62 (define @t60 () (=> @t32 @t41)) % 0.36/0.62 (define @t61 () (forall @t34 (=> @t60 @t59))) % 0.36/0.62 (define @t62 () (exists @t3 @t61)) % 0.36/0.62 (define @t63 () (@var "V" $$unsorted)) % 0.36/0.62 (define @t64 () (tptp.h @t63)) % 0.36/0.62 (define @t65 () (not @t64)) % 0.36/0.62 (define @t66 () (tptp.g @t63)) % 0.36/0.62 (define @t67 () (tptp.f @t63)) % 0.36/0.62 (define @t68 () (and @t67 @t66 @t65)) % 0.36/0.62 (define @t69 () (@list @t63)) % 0.36/0.62 (define @t70 () (exists @t69 @t68)) % 0.36/0.62 (define @t71 () (@var "R" $$unsorted)) % 0.36/0.62 (define @t72 () (tptp.g @t71)) % 0.36/0.62 (define @t73 () (tptp.h @t71)) % 0.36/0.62 (define @t74 () (tptp.f @t71)) % 0.36/0.62 (define @t75 () (and @t74 @t73)) % 0.36/0.62 (define @t76 () (@list @t71)) % 0.36/0.62 (define @t77 () (forall @t76 (=> @t75 @t72))) % 0.36/0.62 (define @t78 () (=> @t77 @t70)) % 0.36/0.62 (define @t79 () (@var "Z" $$unsorted)) % 0.36/0.62 (define @t80 () (tptp.h @t79)) % 0.36/0.62 (define @t81 () (tptp.f @t79)) % 0.36/0.62 (define @t82 () (@list @t79)) % 0.36/0.62 (define @t83 () (forall @t82 (=> @t81 @t80))) % 0.36/0.62 (define @t84 () (@var "W" $$unsorted)) % 0.36/0.62 (define @t85 () (tptp.g @t84)) % 0.36/0.62 (define @t86 () (tptp.f @t84)) % 0.36/0.62 (define @t87 () (@list @t84)) % 0.36/0.62 (define @t88 () (forall @t87 (=> @t86 @t85))) % 0.36/0.62 (define @t89 () (or @t88 @t83)) % 0.36/0.62 (define @t90 () (tptp.g @t1)) % 0.36/0.62 (define @t91 () (not @t90)) % 0.36/0.62 (define @t92 () (tptp.f @t1)) % 0.36/0.62 (define @t93 () (and @t92 @t91)) % 0.36/0.62 (define @t94 () (exists @t3 @t93)) % 0.36/0.62 (define @t95 () (tptp.h @t1)) % 0.36/0.62 (define @t96 () (and @t92 @t90)) % 0.36/0.62 (define @t97 () (=> @t96 @t95)) % 0.36/0.62 (define @t98 () (forall @t3 @t97)) % 0.36/0.62 (define @t99 () (=> @t98 @t94)) % 0.36/0.62 (define @t100 () (and @t99 @t89)) % 0.36/0.62 (define @t101 () (=> @t100 @t78)) % 0.36/0.62 (define @t102 () (tptp.r @t1 @t1)) % 0.36/0.62 (define @t103 () (tptp.r @t1 @t31)) % 0.36/0.62 (define @t104 () (@list @t1 @t31)) % 0.36/0.62 (define @t105 () (forall @t104 (=> @t103 @t102))) % 0.36/0.62 (define @t106 () (tptp.r @t1 @t79)) % 0.36/0.62 (define @t107 () (tptp.r @t31 @t79)) % 0.36/0.62 (define @t108 () (and @t103 @t107)) % 0.36/0.62 (define @t109 () (@list @t1 @t31 @t79)) % 0.36/0.62 (define @t110 () (forall @t109 (=> @t108 @t106))) % 0.36/0.62 (define @t111 () (tptp.r @t31 @t1)) % 0.36/0.62 (define @t112 () (forall @t104 (=> @t103 @t111))) % 0.36/0.62 (define @t113 () (and @t112 @t110)) % 0.36/0.62 (define @t114 () (=> @t113 @t105)) % 0.36/0.62 (define @t115 () (tptp.g @t31)) % 0.36/0.62 (define @t116 () (not @t115)) % 0.36/0.62 (define @t117 () (tptp.f @t31)) % 0.36/0.62 (define @t118 () (and @t117 @t116)) % 0.36/0.62 (define @t119 () (exists @t34 @t118)) % 0.36/0.62 (define @t120 () (=> @t97 @t119)) % 0.36/0.62 (define @t121 () (forall @t3 @t120)) % 0.36/0.62 (define @t122 () (and @t121 @t89)) % 0.36/0.62 (define @t123 () (=> @t122 @t78)) % 0.36/0.62 (define @t124 () (and @t123 @t114 @t101 @t62 @t58 @t56 @t52 @t48 @t46 @t40 @t39 @t38 @t30 @t26 (= @t22 tptp.c) @t21 @t19 @t16 @t13 @t8)) % 0.36/0.62 (define @t125 () (not @t124)) % 0.36/0.62 (define @t126 () (not @t66)) % 0.36/0.62 (define @t127 () (not @t67)) % 0.36/0.62 (define @t128 () (forall @t69 (or @t127 @t126 @t64))) % 0.36/0.62 (define @t129 () (not @t128)) % 0.36/0.62 (define @t130 () (not @t73)) % 0.36/0.62 (define @t131 () (not @t74)) % 0.36/0.62 (define @t132 () (or @t131 @t130 @t72)) % 0.36/0.62 (define @t133 () (forall @t76 @t132)) % 0.36/0.62 (define @t134 () (=> @t133 @t129)) % 0.36/0.62 (define @t135 () (forall @t82 (or (not @t81) @t80))) % 0.36/0.62 (define @t136 () (forall @t87 (or (not @t86) @t85))) % 0.36/0.62 (define @t137 () (or @t136 @t135)) % 0.36/0.62 (define @t138 () (@var "BOUND_VARIABLE_7577" $$unsorted)) % 0.36/0.62 (define @t139 () (forall (@list @t138) (not (tptp.h @t138)))) % 0.36/0.62 (define @t140 () (@var "BOUND_VARIABLE_7572" $$unsorted)) % 0.36/0.62 (define @t141 () (forall (@list @t140) (tptp.g @t140))) % 0.36/0.62 (define @t142 () (@var "BOUND_VARIABLE_7567" $$unsorted)) % 0.36/0.62 (define @t143 () (forall (@list @t142) (tptp.f @t142))) % 0.36/0.62 (define @t144 () (and @t143 @t141 @t139)) % 0.36/0.62 (define @t145 () (not @t117)) % 0.36/0.62 (define @t146 () (forall @t34 (or @t145 @t115))) % 0.36/0.62 (define @t147 () (not @t146)) % 0.36/0.62 (define @t148 () (or @t147 @t144)) % 0.36/0.62 (define @t149 () (and @t148 @t137)) % 0.36/0.62 (define @t150 () (=> @t149 @t134)) % 0.36/0.62 (define @t151 () (not @t92)) % 0.36/0.62 (define @t152 () (forall @t3 (or @t151 @t90))) % 0.36/0.62 (define @t153 () (not @t152)) % 0.36/0.62 (define @t154 () (or @t151 @t91 @t95)) % 0.36/0.62 (define @t155 () (forall @t3 @t154)) % 0.36/0.62 (define @t156 () (=> @t155 @t153)) % 0.36/0.62 (define @t157 () (and @t156 @t137)) % 0.36/0.62 (define @t158 () (=> @t157 @t134)) % 0.36/0.62 (define @t159 () (not @t158)) % 0.36/0.62 (define @t160 () (not @t157)) % 0.36/0.62 (define @t161 () (@quantifiers_skolemize @t133 0)) % 0.36/0.62 (define @t162 () (@list @t161)) % 0.36/0.62 (define @t163 () (tptp.h @t161)) % 0.36/0.62 (define @t164 () (tptp.g @t161)) % 0.36/0.62 (define @t165 () (not @t164)) % 0.36/0.62 (define @t166 () (tptp.f @t161)) % 0.36/0.62 (define @t167 () (not @t166)) % 0.36/0.62 (define @t168 () (or @t167 @t165 @t163)) % 0.36/0.62 (define @t169 () (not @t149)) % 0.36/0.62 (define @t170 () (not @t156)) % 0.36/0.62 (define @t171 () (not @t137)) % 0.36/0.62 (define @t172 () (@list @t31)) % 0.36/0.62 (define @t173 () (@list @t1)) % 0.36/0.62 (define @t174 () (not @t144)) % 0.36/0.62 (define @t175 () (@var "BOUND_VARIABLE_7702" $$unsorted)) % 0.36/0.62 (define @t176 () (forall (@list @t175) (not (tptp.p @t175)))) % 0.36/0.62 (define @t177 () (@list @t175)) % 0.36/0.62 (define @t178 () (not @t2)) % 0.36/0.62 (define @t179 () (forall @t3 @t178)) % 0.36/0.62 (define @t180 () (not @t179)) % 0.36/0.62 (define @t181 () (=> @t9 @t180)) % 0.36/0.62 (define @t182 () (not @t180)) % 0.36/0.62 (define @t183 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 0.36/0.62 (define @t184 () (forall (@list @t183) (tptp.p @t183))) % 0.36/0.62 (define @t185 () (@list @t183)) % 0.36/0.62 (define @t186 () (not @t9)) % 0.36/0.62 (define @t187 () (@quantifiers_skolemize @t53 0)) % 0.36/0.62 (define @t188 () (@list @t187)) % 0.36/0.62 (define @t189 () (tptp.p @t187)) % 0.36/0.62 (define @t190 () (not @t181)) % 0.36/0.62 (define @t191 () (forall @t34 @t32)) % 0.36/0.62 (define @t192 () (or @t179 @t191)) % 0.36/0.62 (define @t193 () (not tptp.c)) % 0.36/0.62 (define @t194 () (or @t193 @t179)) % 0.36/0.62 (define @t195 () (and @t180 tptp.c)) % 0.36/0.62 (define @t196 () (not @t195)) % 0.36/0.62 (define @t197 () (@var "BOUND_VARIABLE_7784" $$unsorted)) % 0.36/0.62 (define @t198 () (@list @t197)) % 0.36/0.62 (define @t199 () (not @t176)) % 0.36/0.62 (define @t200 () (forall (@list @t197) (not (tptp.p @t197)))) % 0.36/0.62 (define @t201 () (not @t41)) % 0.36/0.62 (define @t202 () (forall @t3 (or @t178 @t201))) % 0.36/0.62 (define @t203 () (@quantifiers_skolemize @t202 0)) % 0.36/0.62 (define @t204 () (@list @t203)) % 0.36/0.62 (define @t205 () (tptp.p @t203)) % 0.36/0.62 (define @t206 () (not @t205)) % 0.36/0.62 (define @t207 () (not @t57)) % 0.36/0.62 (define @t208 () (forall @t34 (not @t32))) % 0.36/0.62 (define @t209 () (=> @t208 @t192)) % 0.36/0.62 (define @t210 () (not @t194)) % 0.36/0.62 (define @t211 () (= @t210 @t195)) % 0.36/0.62 (define @t212 () (tptp.q @t203)) % 0.36/0.62 (define @t213 () (not @t212)) % 0.36/0.62 (define @t214 () (or @t206 @t213)) % 0.36/0.62 (define @t215 () (@var "BOUND_VARIABLE_7684" $$unsorted)) % 0.36/0.62 (define @t216 () (@list @t215)) % 0.36/0.62 (define @t217 () (not @t214)) % 0.36/0.62 (define @t218 () (not @t202)) % 0.36/0.62 (define @t219 () (@var "BOUND_VARIABLE_7689" $$unsorted)) % 0.36/0.62 (define @t220 () (forall (@list @t219) (tptp.q @t219))) % 0.36/0.62 (define @t221 () (forall (@list @t215) (tptp.p @t215))) % 0.36/0.62 (define @t222 () (and @t221 @t220)) % 0.36/0.62 (define @t223 () (not @t222)) % 0.36/0.62 (define @t224 () (forall @t3 @t201)) % 0.36/0.62 (define @t225 () (not @t224)) % 0.36/0.62 (define @t226 () (and @t180 @t225)) % 0.36/0.62 (define @t227 () (=> @t218 @t226)) % 0.36/0.62 (define @t228 () (= @t57 @t222)) % 0.36/0.62 (define @t229 () (and tptp.c @t200)) % 0.36/0.62 (define @t230 () (not @t229)) % 0.36/0.62 (define @t231 () (=> tptp.c @t180)) % 0.36/0.62 (define @t232 () (or @t180 @t225)) % 0.36/0.62 (define @t233 () (@var "BOUND_VARIABLE_7708" $$unsorted)) % 0.36/0.62 (define @t234 () (forall (@list @t233) (not (tptp.q @t233)))) % 0.36/0.62 (define @t235 () (and @t176 @t234)) % 0.36/0.62 (define @t236 () (not @t235)) % 0.36/0.62 (define @t237 () (not @t232)) % 0.36/0.62 (define @t238 () (= @t236 @t232)) % 0.36/0.62 (define @t239 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 0.36/0.62 (define @t240 () (forall (@list @t239) (not (tptp.q @t239)))) % 0.36/0.62 (define @t241 () (@list @t239)) % 0.36/0.62 (define @t242 () (@list @t233)) % 0.36/0.62 (define @t243 () (not @t225)) % 0.36/0.62 (define @t244 () (not @t240)) % 0.36/0.62 (define @t245 () (or @t193 @t9)) % 0.36/0.62 (define @t246 () (not @t193)) % 0.36/0.62 (define @t247 () (= @t10 @t245)) % 0.36/0.62 (define @t248 () (not @t231)) % 0.36/0.62 (define @t249 () (= @t230 @t231)) % 0.36/0.62 (define @t250 () (not @t184)) % 0.36/0.62 (define @t251 () (@var "BOUND_VARIABLE_7799" $$unsorted)) % 0.36/0.62 (define @t252 () (@list @t251)) % 0.36/0.62 (define @t253 () (forall (@list @t251) (tptp.p @t251))) % 0.36/0.62 (define @t254 () (@var "BOUND_VARIABLE_7728" $$unsorted)) % 0.36/0.62 (define @t255 () (forall (@list @t254) (tptp.p @t254))) % 0.36/0.62 (define @t256 () (and @t255 @t186)) % 0.36/0.62 (define @t257 () (not @t256)) % 0.36/0.62 (define @t258 () (or tptp.c @t9)) % 0.36/0.62 (define @t259 () (not @t14)) % 0.36/0.62 (define @t260 () (or @t186 @t191)) % 0.36/0.62 (define @t261 () (not @t253)) % 0.36/0.62 (define @t262 () (and @t253 @t193)) % 0.36/0.62 (define @t263 () (tptp.q @t187)) % 0.36/0.62 (define @t264 () (or @t189 @t263)) % 0.36/0.62 (define @t265 () (= @t27 @t258)) % 0.36/0.62 (define @t266 () (not @t262)) % 0.36/0.62 (define @t267 () (= @t14 @t266)) % 0.36/0.62 (define @t268 () (not @t264)) % 0.36/0.62 (define @t269 () (not @t53)) % 0.36/0.62 (define @t270 () (=> @t180 tptp.c)) % 0.36/0.62 (define @t271 () (or tptp.c @t179)) % 0.36/0.62 (define @t272 () (= @t271 @t270)) % 0.36/0.62 (define @t273 () (not @t270)) % 0.36/0.62 (define @t274 () (@var "BOUND_VARIABLE_7673" $$unsorted)) % 0.36/0.62 (define @t275 () (tptp.q @t274)) % 0.36/0.62 (define @t276 () (@list @t274)) % 0.36/0.62 (define @t277 () (forall @t276 @t275)) % 0.36/0.62 (define @t278 () (@var "BOUND_VARIABLE_7644" $$unsorted)) % 0.36/0.62 (define @t279 () (forall (@list @t278) (tptp.p @t278))) % 0.36/0.62 (define @t280 () (not @t279)) % 0.36/0.62 (define @t281 () (or @t280 @t277)) % 0.36/0.62 (define @t282 () (and @t184 @t240 @t281)) % 0.36/0.62 (define @t283 () (not @t282)) % 0.36/0.62 (define @t284 () (@list @t278)) % 0.36/0.62 (define @t285 () (not @t103)) % 0.36/0.62 (define @t286 () (forall @t104 (or @t285 @t102))) % 0.36/0.62 (define @t287 () (not @t107)) % 0.36/0.62 (define @t288 () (or @t285 @t287 @t106)) % 0.36/0.62 (define @t289 () (forall @t109 @t288)) % 0.36/0.62 (define @t290 () (forall @t104 (or @t285 @t111))) % 0.36/0.62 (define @t291 () (and @t290 @t289)) % 0.36/0.62 (define @t292 () (=> @t291 @t286)) % 0.36/0.62 (define @t293 () (not @t291)) % 0.36/0.62 (define @t294 () (@quantifiers_skolemize @t286 0)) % 0.36/0.62 (define @t295 () (tptp.r @t294 @t294)) % 0.36/0.62 (define @t296 () (@quantifiers_skolemize @t286 1)) % 0.36/0.62 (define @t297 () (tptp.r @t294 @t296)) % 0.36/0.62 (define @t298 () (not @t297)) % 0.36/0.62 (define @t299 () (or @t298 @t295)) % 0.36/0.62 (define @t300 () (not @t299)) % 0.36/0.62 (define @t301 () (not @t286)) % 0.36/0.62 (define @t302 () (tptp.r @t296 @t294)) % 0.36/0.62 (define @t303 () (or @t298 @t302)) 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(and @t20 @t179)) % 0.36/0.62 (define @t327 () (forall @t3 (not @t11))) % 0.36/0.62 (define @t328 () (not @t327)) % 0.36/0.62 (define @t329 () (not @t322)) % 0.36/0.62 (define @t330 () (or @t193 @t178)) % 0.36/0.62 (define @t331 () (or @t178 @t193)) % 0.36/0.62 (define @t332 () (forall @t3 (not @t24))) % 0.36/0.62 (define @t333 () (not @t332)) % 0.36/0.62 (define @t334 () (or tptp.c @t2)) % 0.36/0.62 (define @t335 () (forall @t3 (not @t44))) % 0.36/0.62 (define @t336 () (not @t335)) % 0.36/0.62 (define @t337 () (forall @t34 @t186)) % 0.36/0.62 (define @t338 () (@list @t254)) % 0.36/0.62 (define @t339 () (and @t191 @t337)) % 0.36/0.62 (define @t340 () (forall @t34 (not @t47))) % 0.36/0.62 (define @t341 () (not @t340)) % 0.36/0.62 (define @t342 () (and @t179 @t224)) % 0.36/0.62 (define @t343 () (forall @t3 (not @t50))) % 0.36/0.62 (define @t344 () (not @t343)) % 0.36/0.62 (define @t345 () (@list @t219)) % 0.36/0.62 (define @t346 () (forall @t276 (or @t280 @t275))) % 0.36/0.62 (define @t347 () (or @t280 @t41)) % 0.36/0.62 (define @t348 () (forall @t3 @t347)) % 0.36/0.62 (define @t349 () (@list @t274)) % 0.36/0.62 (define @t350 () (and @t9 @t224 @t348)) % 0.36/0.62 (define @t351 () (and @t279 @t201)) % 0.36/0.62 (define @t352 () (not @t351)) % 0.36/0.62 (define @t353 () (not @t178)) % 0.36/0.62 (define @t354 () (and @t353 @t201 @t352)) % 0.36/0.62 (define @t355 () (or @t178 @t41 @t351)) % 0.36/0.62 (define @t356 () (forall @t3 (not @t355))) % 0.36/0.62 (define @t357 () (not @t356)) % 0.36/0.62 (define @t358 () (forall @t34 @t201)) % 0.36/0.62 (define @t359 () (and @t191 @t358)) % 0.36/0.62 (define @t360 () (and @t32 @t201)) % 0.36/0.62 (define @t361 () (forall @t34 @t360)) % 0.36/0.62 (define @t362 () (or @t178 @t41 @t361)) % 0.36/0.62 (define @t363 () (or @t178 @t41 @t360)) % 0.36/0.62 (define @t364 () (or @t360 @t178 @t41)) % 0.36/0.62 (define @t365 () (not @t65)) % 0.36/0.62 (define @t366 () (or @t127 @t126 @t365)) % 0.36/0.62 (define @t367 () (forall @t69 (not @t68))) % 0.36/0.62 (define @t368 () (not @t367)) % 0.36/0.62 (define @t369 () (forall @t3 (not @t93))) % 0.36/0.62 (define @t370 () (not @t369)) % 0.36/0.62 (define @t371 () (not @t95)) % 0.36/0.62 (define @t372 () (forall @t3 @t371)) % 0.36/0.62 (define @t373 () (forall @t3 @t90)) % 0.36/0.62 (define @t374 () (forall @t3 @t92)) % 0.36/0.62 (define @t375 () (and @t374 @t373 @t372)) % 0.36/0.62 (define @t376 () (and @t92 @t90 @t371)) % 0.36/0.62 (define @t377 () (forall @t3 @t376)) % 0.36/0.62 (define @t378 () (or @t147 @t377)) % 0.36/0.62 (define @t379 () (or @t147 @t376)) % 0.36/0.62 (define @t380 () (or @t376 @t147)) % 0.36/0.62 (define @t381 () (forall @t34 (not @t118))) % 0.36/0.62 (define @t382 () (not @t381)) % 0.36/0.62 (define @t383 () (not @t147)) % 0.36/0.62 (define @t384 () (@quantifiers_skolemize @t146 0)) % 0.36/0.62 (define @t385 () (@list @t384)) % 0.36/0.62 (define @t386 () (tptp.g @t384)) % 0.36/0.62 (define @t387 () (tptp.h @t384)) % 0.36/0.62 (define @t388 () (not @t387)) % 0.36/0.62 (define @t389 () (tptp.f @t384)) % 0.36/0.62 (define @t390 () (not @t389)) % 0.36/0.62 (define @t391 () (or @t390 @t388 @t386)) % 0.36/0.62 (define @t392 () (or @t390 @t386)) % 0.36/0.62 (define @t393 () (not @t392)) % 0.36/0.62 (define @t394 () (or @t390 @t387)) % 0.36/0.62 (define @t395 () (@list true false)) % 0.36/0.62 (define @t396 () (@list true)) % 0.36/0.62 (define @t397 () (@list @t158)) % 0.36/0.62 (assume @p1 @t125) % 0.36/0.62 (assume @p2 true) % 0.36/0.62 (step @p3 :rule cnf_implies_neg1 :args (@t150)) % 0.36/0.62 (step @p4 :rule reordering :premises (@p3) :args ((or @t149 @t150))) % 0.36/0.62 (step @p5 :rule cnf_implies_neg2 :args (@t150)) % 0.36/0.62 (step @p6 :rule bool-double-not-elim :args (@t128)) % 0.36/0.62 (step @p7 :rule refl :args (@t134)) % 0.36/0.62 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((or @t134 (not @t129)))) % 0.36/0.62 (step @p9 :rule cnf_implies_neg2 :args (@t134)) % 0.36/0.62 (step @p10 :rule eq_resolve :premises (@p9 @p8)) % 0.36/0.62 (step @p11 :rule reordering :premises (@p10) :args ((or @t128 @t134))) % 0.36/0.62 (step @p12 :rule cnf_implies_pos :args (@t158)) % 0.36/0.62 (step @p13 :rule reordering :premises (@p12) :args ((or @t134 @t160 @t159))) % 0.36/0.62 (assume-push @p838 @t128) % 0.36/0.62 (step @p15 :rule instantiate :premises (@p838) :args (@t162)) % 0.36/0.62 (step-pop @p839 :rule scope :premises (@p15)) % 0.36/0.62 (step @p16 :rule process_scope :premises (@p839) :args (@t168)) % 0.36/0.62 (step @p18 :rule implies_elim :premises (@p16)) % 0.36/0.62 (step @p19 :rule cnf_and_pos :args (@t149 0)) % 0.36/0.62 (step @p20 :rule reordering :premises (@p19) :args ((or @t148 @t169))) % 0.36/0.62 (step @p21 :rule cnf_and_pos :args (@t149 1)) % 0.36/0.62 (step @p22 :rule reordering :premises (@p21) :args ((or @t137 @t169))) % 0.36/0.62 (step @p23 :rule cnf_or_pos :args (@t148)) % 0.36/0.62 (step @p24 :rule reordering :premises (@p23) :args ((or @t147 @t144 (not @t148)))) % 0.36/0.62 (step @p25 :rule cnf_and_neg :args (@t157)) % 0.36/0.62 (step @p26 :rule reordering :premises (@p25) :args ((or @t157 @t171 @t170))) % 0.36/0.62 (step @p27 :rule alpha_equiv :args (@t146 @t172 @t173)) % 0.36/0.62 (step @p28 :rule equiv_elim2 :premises (@p27)) % 0.36/0.62 (step @p29 :rule bool-double-not-elim :args (@t152)) % 0.36/0.62 (step @p30 :rule refl :args (@t156)) % 0.36/0.62 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t156 (not @t153)))) % 0.36/0.62 (step @p32 :rule cnf_implies_neg2 :args (@t156)) % 0.36/0.62 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 0.36/0.62 (step @p34 :rule reordering :premises (@p33) :args ((or @t152 @t156))) % 0.36/0.62 (step @p35 :rule chain_m_resolution :premises (@p34 @p28 @p26 @p24 @p22 @p20) :args ((or @t144 @t157 @t169) (@list true true true false false) (@list @t152 @t156 @t146 @t137 @t148))) % 0.36/0.62 (step @p36 :rule cnf_and_pos :args (@t144 0)) % 0.36/0.62 (step @p37 :rule reordering :premises (@p36) :args ((or @t143 @t174))) % 0.36/0.62 (step @p38 :rule cnf_and_pos :args (@t144 1)) % 0.36/0.62 (step @p39 :rule reordering :premises (@p38) :args ((or @t141 @t174))) % 0.36/0.62 (step @p40 :rule cnf_and_pos :args (@t144 2)) % 0.36/0.62 (step @p41 :rule reordering :premises (@p40) :args ((or @t139 @t174))) % 0.36/0.62 (assume-push @p840 @t143) % 0.36/0.62 (step @p43 :rule instantiate :premises (@p840) :args (@t162)) % 0.36/0.62 (step-pop @p841 :rule scope :premises (@p43)) % 0.36/0.62 (step @p44 :rule process_scope :premises (@p841) :args (@t166)) % 0.36/0.62 (step @p46 :rule implies_elim :premises (@p44)) % 0.36/0.62 (assume-push @p842 @t141) % 0.36/0.62 (step @p48 :rule instantiate :premises (@p842) :args (@t162)) % 0.36/0.62 (step-pop @p843 :rule scope :premises (@p48)) % 0.36/0.62 (step @p49 :rule process_scope :premises (@p843) :args (@t164)) % 0.36/0.62 (step @p51 :rule implies_elim :premises (@p49)) % 0.36/0.62 (assume-push @p844 @t139) % 0.36/0.62 (step @p53 :rule instantiate :premises (@p844) :args (@t162)) % 0.36/0.62 (step-pop @p845 :rule scope :premises (@p53)) % 0.36/0.62 (step @p54 :rule process_scope :premises (@p845) :args ((not @t163))) % 0.36/0.62 (step @p56 :rule implies_elim :premises (@p54)) % 0.36/0.62 (step @p57 :rule cnf_or_pos :args (@t168)) % 0.36/0.62 (step @p58 :rule reordering :premises (@p57) :args ((or @t167 @t163 @t165 (not @t168)))) % 0.36/0.62 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p51 @p46 @p41 @p39 @p37 @p35 @p18 @p13 @p11 @p5 @p4) :args ((or @t150 @t159) (@list true false false false false false false false true false true false) (@list @t163 @t164 @t166 @t139 @t141 @t143 @t144 @t168 @t157 @t128 @t134 @t149))) % 0.36/0.62 (step @p60 :rule alpha_equiv :args (@t176 @t177 @t173)) % 0.36/0.62 (step @p61 :rule equiv_elim2 :premises (@p60)) % 0.36/0.62 (step @p62 :rule cnf_implies_neg1 :args (@t181)) % 0.36/0.62 (step @p63 :rule reordering :premises (@p62) :args ((or @t9 @t181))) % 0.36/0.62 (step @p64 :rule bool-double-not-elim :args (@t179)) % 0.36/0.62 (step @p65 :rule refl :args (@t181)) % 0.36/0.62 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t181 @t182))) % 0.36/0.62 (step @p67 :rule cnf_implies_neg2 :args (@t181)) % 0.36/0.62 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.36/0.62 (step @p69 :rule reordering :premises (@p68) :args ((or @t179 @t181))) % 0.36/0.62 (step @p70 :rule alpha_equiv :args (@t184 @t185 @t173)) % 0.36/0.62 (step @p71 :rule symm :premises (@p70)) % 0.36/0.62 (step @p72 :rule equiv_elim1 :premises (@p71)) % 0.36/0.62 (step @p73 :rule reordering :premises (@p72) :args ((or @t184 @t186))) % 0.36/0.62 (assume-push @p846 @t184) % 0.36/0.62 (step @p75 :rule instantiate :premises (@p846) :args (@t188)) % 0.36/0.62 (step-pop @p847 :rule scope :premises (@p75)) % 0.36/0.62 (step @p76 :rule process_scope :premises (@p847) :args (@t189)) % 0.36/0.62 (step @p78 :rule implies_elim :premises (@p76)) % 0.36/0.62 (assume-push @p848 @t176) % 0.36/0.62 (step @p80 :rule instantiate :premises (@p848) :args (@t188)) % 0.36/0.62 (step-pop @p849 :rule scope :premises (@p80)) % 0.36/0.62 (step @p81 :rule process_scope :premises (@p849) :args ((not @t189))) % 0.36/0.62 (step @p83 :rule implies_elim :premises (@p81)) % 0.36/0.62 (step @p84 :rule chain_m_resolution :premises (@p83 @p78 @p61 @p73 @p69 @p63) :args (@t181 (@list false false false false false) (@list @t189 @t176 @t184 @t179 @t9))) % 0.36/0.62 (step @p85 :rule cnf_implies_pos :args (@t181)) % 0.36/0.62 (step @p86 :rule reordering :premises (@p85) :args ((or @t180 @t186 @t190))) % 0.36/0.62 (step @p87 :rule cnf_or_neg :args (@t192 0)) % 0.36/0.62 (step @p88 :rule reordering :premises (@p87) :args ((or @t180 @t192))) % 0.36/0.62 (step @p89 :rule cnf_or_neg :args (@t194 1)) % 0.36/0.62 (step @p90 :rule reordering :premises (@p89) :args ((or @t180 @t194))) % 0.36/0.62 (step @p91 :rule cnf_and_pos :args (@t195 0)) % 0.36/0.62 (step @p92 :rule reordering :premises (@p91) :args ((or @t180 @t196))) % 0.36/0.62 (step @p93 :rule alpha_equiv :args (@t176 @t177 @t198)) % 0.36/0.62 (step @p94 :rule equiv_elim1 :premises (@p93)) % 0.36/0.62 (step @p95 :rule reordering :premises (@p94) :args ((or @t200 @t199))) % 0.36/0.62 (assume-push @p850 @t176) % 0.36/0.62 (step @p97 :rule instantiate :premises (@p850) :args (@t204)) % 0.36/0.62 (step-pop @p851 :rule scope :premises (@p97)) % 0.36/0.62 (step @p98 :rule process_scope :premises (@p851) :args (@t206)) % 0.36/0.62 (step @p100 :rule implies_elim :premises (@p98)) % 0.36/0.62 (step @p101 :rule equiv_elim2 :premises (@p71)) % 0.36/0.62 (step @p102 :rule cnf_and_pos :args (@t57 0)) % 0.36/0.62 (step @p103 :rule reordering :premises (@p102) :args ((or @t9 @t207))) % 0.36/0.62 (step @p104 :rule cnf_implies_neg2 :args (@t209)) % 0.36/0.62 (step @p105 :rule cnf_equiv_neg1 :args (@t211)) % 0.36/0.62 (step @p106 :rule reordering :premises (@p105) :args ((or @t210 @t195 @t211))) % 0.36/0.62 (step @p107 :rule bool-double-not-elim :args (@t205)) % 0.36/0.62 (step @p108 :rule refl :args (@t214)) % 0.36/0.62 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t214 (not @t206)))) % 0.36/0.62 (step @p110 :rule cnf_or_neg :args (@t214 0)) % 0.36/0.62 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.36/0.62 (step @p112 :rule reordering :premises (@p111) :args ((or @t205 @t214))) % 0.36/0.62 (step @p113 :rule alpha_equiv :args (@t184 @t185 @t216)) % 0.36/0.62 (step @p114 :rule equiv_elim2 :premises (@p113)) % 0.36/0.62 (step @p115 :rule refl :args (@t217)) % 0.36/0.62 (step @p116 :rule bool-double-not-elim :args (@t202)) % 0.36/0.62 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t218) @t217))) % 0.36/0.62 (assume-push @p852 @t218) % 0.36/0.62 (step @p119 :rule skolemize :premises (@p852)) % 0.36/0.62 (step-pop @p853 :rule scope :premises (@p119)) % 0.36/0.62 (step @p120 :rule process_scope :premises (@p853) :args (@t217)) % 0.36/0.62 (step @p122 :rule implies_elim :premises (@p120)) % 0.36/0.62 (step @p123 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@p178) :args ((or tptp.c @t159 @t317 @t316 @t315 @t314 @t190 @t312 @t310) (@list false true false false false true true true true false false true true true true false false true false false false false) (@list @t292 @t282 @t272 @t267 @t265 @t262 @t256 @t258 @t27 @t14 @t260 @t253 @t255 @t9 @t184 @t249 @t231 @t229 @t150 @t247 @t10 @t245))) % 0.36/0.62 (step @p674 :rule cnf_or_pos :args (@t55)) % 0.36/0.62 (step @p675 :rule reordering :premises (@p674) :args ((or @t9 @t54 (not @t55)))) % 0.36/0.62 (step @p676 :rule cnf_implies_neg1 :args (@t56)) % 0.36/0.62 (step @p677 :rule reordering :premises (@p676) :args ((or @t55 @t56))) % 0.36/0.62 (step @p678 :rule chain_m_resolution :premises (@p642 @p309 @p271 @p249 @p672 @p677 @p665 @p663 @p661 @p675 @p655 @p659 @p657 @p653 @p647 @p646 @p73 @p644 @p181 @p106 @p178 @p180 @p190 @p195) :args ((or tptp.c @t54 @t319 @t159 @t317 @t315 @t314 @t190 @t312 @t309) (@list false true false false false false true true true false true true false true true 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chain_m_resolution :premises (@p642 @p309 @p271 @p249 @p677 @p689 @p661 @p675 @p687 @p685 @p653 @p646 @p73 @p217 @p683 @p682 @p672 @p681 @p680 @p678) :args ((or @t54 @t184 @t319 @t159 @t317 @t315 @t314 @t190 @t312 @t310 @t309) (@list false true false false false true true true true false true true false false false false false true false) (@list @t292 @t282 @t272 @t56 @t247 @t256 @t55 @t245 @t10 @t260 @t255 @t9 @t265 @t27 @t258 @t267 @t14 @t262 tptp.c))) % 0.36/0.62 (step @p691 :rule alpha_equiv :args (@t277 @t349 @t173)) % 0.36/0.62 (step @p692 :rule symm :premises (@p691)) % 0.36/0.62 (step @p693 :rule equiv_elim1 :premises (@p692)) % 0.36/0.62 (step @p694 :rule reordering :premises (@p693) :args ((or @t277 (not @t54)))) % 0.36/0.62 (step @p695 :rule cnf_or_neg :args (@t264 1)) % 0.36/0.62 (assume-push @p866 @t277) % 0.36/0.62 (step @p697 :rule instantiate :premises (@p866) :args (@t188)) % 0.36/0.62 (step-pop @p867 :rule scope :premises (@p697)) % 0.36/0.62 (step @p698 :rule 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:premises (@p689 @p642 @p309 @p271 @p249 @p661 @p687 @p685 @p653 @p646 @p73 @p217 @p683 @p682 @p672 @p681 @p680) :args ((or @t184 @t193 @t319 @t159 @t317 @t316 @t315 @t314 @t190 @t312 @t310 @t309) (@list true false true false true true true false true true false false false false false true) (@list @t247 @t292 @t282 @t272 @t256 @t245 @t10 @t260 @t255 @t9 @t265 @t27 @t258 @t267 @t14 @t262))) % 0.36/0.62 (step @p709 :rule cnf_implies_neg2 :args (@t10)) % 0.36/0.62 (step @p710 :rule cnf_or_neg :args (@t245 1)) % 0.36/0.62 (step @p711 :rule reordering :premises (@p710) :args ((or @t186 @t245))) % 0.36/0.62 (step @p712 :rule chain_m_resolution :premises (@p642 @p309 @p271 @p249 @p181 @p209 @p711 @p709 @p203 @p198 @p101 @p708 @p217 @p683 @p682 @p672 @p681 @p680) :args ((or @t193 @t319 @t159 @t317 @t316 @t315 @t314 @t190 @t312 @t310 @t309) (@list false true false false false false false true false false false false false false false false true) (@list @t292 @t282 @t272 @t247 @t260 @t245 @t10 @t256 @t191 @t9 @t184 @t265 @t27 @t258 @t267 @t14 @t262))) % 0.36/0.62 (step @p713 :rule chain_m_resolution :premises (@p695 @p228 @p700 @p643 @p694 @p712 @p84 @p172 @p690 @p172 @p84 @p707 @p705 @p703 @p701 @p129 @p127 @p125 @p123 @p114 @p112 @p106 @p104 @p103 @p101 @p100 @p95 @p92 @p90 @p88 @p86 @p84 @p61 @p59) :args ((or @t180 @t159) (@list true false true false true false false false false false false true false false false false true false true false false false true true true false true false false true false false false) (@list @t264 @t263 @t53 @t277 @t56 @t181 @t238 @t54 @t238 @t181 @t249 @t231 @t229 tptp.c @t228 @t227 @t222 @t202 @t221 @t214 @t211 @t209 @t57 @t184 @t205 @t200 @t195 @t194 @t192 @t9 @t181 @t176 @t150))) % 0.36/0.62 (step @p714 :rule alpha_equiv :args (@t277 @t349 @t345)) % 0.36/0.62 (step @p715 :rule equiv_elim2 :premises (@p714)) % 0.36/0.62 (step @p716 :rule cnf_and_pos :args (@t57 1)) % 0.36/0.62 (step @p717 :rule reordering :premises (@p716) :args ((or @t54 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@p744 :rule equiv_elim2 :premises (@p93)) % 0.36/0.62 (step @p745 :rule cnf_and_pos :args (@t229 1)) % 0.36/0.62 (step @p746 :rule reordering :premises (@p745) :args ((or @t200 @t230))) % 0.36/0.62 (step @p747 :rule refl :args (@t231)) % 0.36/0.62 (step @p748 :rule nary_cong :premises (@p747 @p64) :args ((or @t231 @t182))) % 0.36/0.62 (step @p749 :rule cnf_implies_neg2 :args (@t231)) % 0.36/0.62 (step @p750 :rule eq_resolve :premises (@p749 @p748)) % 0.36/0.62 (step @p751 :rule reordering :premises (@p750) :args ((or @t179 @t231))) % 0.36/0.62 (step @p752 :rule cnf_or_pos :args (@t194)) % 0.36/0.62 (step @p753 :rule reordering :premises (@p752) :args ((or @t179 @t193 @t210))) % 0.36/0.62 (step @p754 :rule refl :args (@t193)) % 0.36/0.62 (step @p755 :rule refl :args (@t195)) % 0.36/0.62 (step @p756 :rule nary_cong :premises (@p755 @p64 @p754) :args ((or @t195 @t182 @t193))) % 0.36/0.62 (step @p757 :rule cnf_and_neg :args (@t195)) % 0.36/0.62 (step @p758 :rule eq_resolve :premises (@p757 @p756)) % 0.36/0.62 (step @p759 :rule reordering :premises (@p758) :args ((or @t179 @t193 @t195))) % 0.36/0.62 (step @p760 :rule refl :args (@t196)) % 0.36/0.62 (step @p761 :rule bool-double-not-elim :args (@t194)) % 0.36/0.62 (step @p762 :rule refl :args (@t211)) % 0.36/0.62 (step @p763 :rule nary_cong :premises (@p762 @p761 @p760) :args ((or @t211 (not @t210) @t196))) % 0.36/0.62 (step @p764 :rule cnf_equiv_neg2 :args (@t211)) % 0.36/0.62 (step @p765 :rule eq_resolve :premises (@p764 @p763)) % 0.36/0.62 (step @p766 :rule reordering :premises (@p765) :args ((or @t194 @t211 @t196))) % 0.36/0.62 (step @p767 :rule chain_m_resolution :premises (@p643 @p642 @p309 @p271 @p249 @p228 @p181 @p216 @p209 @p711 @p709 @p203 @p78 @p198 @p101 @p690 @p672 @p766 @p217 @p680 @p681 @p759 @p753 @p682 @p683 @p678 @p188 @p751 @p746 @p744 @p743 @p741 @p69 @p149 @p140 @p142 @p135 @p739) :args ((or @t54 @t179 @t319 @t159 @t317) (@list true false true false false false false false false false true false false false false false false false true false false true false false false false false true true false true false false false true true false) (@list @t56 @t292 @t282 @t272 @t53 @t247 @t264 @t260 @t245 @t10 @t256 @t189 @t191 @t9 @t184 @t267 @t211 @t265 @t262 @t14 @t195 @t194 @t258 @t27 tptp.c @t249 @t231 @t229 @t200 @t209 @t208 @t181 @t238 @t232 @t235 @t176 @t227))) % 0.36/0.62 (step @p768 :rule cnf_implies_neg1 :args (@t158)) % 0.36/0.62 (step @p769 :rule reordering :premises (@p768) :args ((or @t157 @t158))) % 0.36/0.62 (step @p770 :rule cnf_implies_neg2 :args (@t158)) % 0.36/0.62 (step @p771 :rule cnf_and_pos :args (@t157 0)) % 0.36/0.62 (step @p772 :rule reordering :premises (@p771) :args ((or @t156 @t160))) % 0.36/0.62 (step @p773 :rule cnf_implies_pos :args (@t156)) % 0.36/0.62 (step @p774 :rule reordering :premises (@p773) :args ((or @t153 (not @t155) @t170))) % 0.36/0.62 (step @p775 :rule alpha_equiv :args (@t128 (@list @t63) @t173)) % 0.36/0.62 (step @p776 :rule equiv_elim1 :premises (@p775)) % 0.36/0.62 (step @p777 :rule chain_m_resolution :premises (@p776 @p774 @p11 @p772 @p770 @p769 @p767 @p727 @p726 @p720 @p4) :args ((or @t54 @t149 @t179 @t171 @t317) (@list true false false true false true false false true false) (@list @t155 @t128 @t156 @t134 @t157 @t158 @t152 @t146 @t148 @t150))) % 0.36/0.62 (step @p778 :rule cnf_implies_neg1 :args (@t134)) % 0.36/0.62 (step @p779 :rule reordering :premises (@p778) :args ((or @t133 @t134))) % 0.36/0.62 (assume-push @p868 @t133) % 0.36/0.62 (step @p781 :rule instantiate :premises (@p868) :args (@t385)) % 0.36/0.62 (step-pop @p869 :rule scope :premises (@p781)) % 0.36/0.62 (step @p782 :rule process_scope :premises (@p869) :args (@t391)) % 0.36/0.62 (step @p784 :rule implies_elim :premises (@p782)) % 0.36/0.62 (step @p785 :rule alpha_equiv :args (@t146 @t172 (@list @t84))) % 0.36/0.62 (step @p786 :rule equiv_elim2 :premises (@p785)) % 0.36/0.62 (step @p787 :rule refl :args (@t393)) % 0.36/0.62 (step @p788 :rule nary_cong :premises (@p721 @p787) :args ((or @t383 @t393))) % 0.36/0.62 (assume-push @p870 @t147) % 0.36/0.62 (step @p790 :rule skolemize :premises (@p870)) % 0.36/0.62 (step-pop @p871 :rule scope :premises (@p790)) % 0.36/0.62 (step @p791 :rule process_scope :premises (@p871) :args (@t393)) % 0.36/0.62 (step @p793 :rule implies_elim :premises (@p791)) % 0.36/0.62 (step @p794 :rule eq_resolve :premises (@p793 @p788)) % 0.36/0.62 (step @p795 :rule cnf_or_pos :args (@t137)) % 0.36/0.62 (step @p796 :rule reordering :premises (@p795) :args ((or @t136 @t135 @t171))) % 0.36/0.62 (step @p797 :rule bool-double-not-elim :args (@t389)) % 0.36/0.62 (step @p798 :rule refl :args (@t392)) % 0.36/0.62 (step @p799 :rule nary_cong :premises (@p798 @p797) :args ((or @t392 (not @t390)))) % 0.36/0.62 (step @p800 :rule cnf_or_neg :args (@t392 0)) % 0.36/0.62 (step @p801 :rule eq_resolve :premises (@p800 @p799)) % 0.36/0.62 (step @p802 :rule reordering :premises (@p801) :args ((or @t389 @t392))) % 0.36/0.62 (step @p803 :rule cnf_or_neg :args (@t392 1)) % 0.36/0.62 (step @p804 :rule cnf_or_pos :args (@t391)) % 0.36/0.62 (step @p805 :rule reordering :premises (@p804) :args ((or @t390 @t386 @t388 (not @t391)))) % 0.36/0.62 (step @p806 :rule cnf_or_pos :args (@t394)) % 0.36/0.62 (step @p807 :rule reordering :premises (@p806) :args ((or @t390 @t387 (not @t394)))) % 0.36/0.62 (assume-push @p872 @t135) % 0.36/0.62 (step @p809 :rule instantiate :premises (@p872) :args (@t385)) % 0.36/0.62 (step-pop @p873 :rule scope :premises (@p809)) % 0.36/0.62 (step @p810 :rule process_scope :premises (@p873) :args (@t394)) % 0.36/0.62 (step @p812 :rule implies_elim :premises (@p810)) % 0.36/0.62 (step @p813 :rule chain_m_resolution :premises (@p812 @p807 @p805 @p803 @p802 @p796 @p794 @p786 @p727 @p774 @p776 @p784 @p11 @p779 @p772 @p770 @p769) :args ((or @t158 @t171) (@list true true true false false true true true true false false false false false true false) (@list @t394 @t387 @t386 @t389 @t135 @t392 @t136 @t146 @t152 @t155 @t391 @t128 @t133 @t156 @t134 @t157))) % 0.36/0.62 (step @p814 :rule chain_m_resolution :premises (@p18 @p58 @p56 @p51 @p46 @p41 @p39 @p37 @p35 @p13 @p11 @p5 @p767 @p813 @p777) :args ((or @t54 @t179 @t171 @t317) (@list true true false false false false false false true false true true false false) (@list @t168 @t163 @t164 @t166 @t139 @t141 @t143 @t144 @t157 @t128 @t134 @t150 @t158 @t149))) % 0.36/0.62 (step @p815 :rule cnf_and_pos :args (@t157 1)) % 0.36/0.62 (step @p816 :rule reordering :premises (@p815) :args ((or @t137 @t160))) % 0.36/0.62 (step @p817 :rule chain_m_resolution :premises (@p767 @p769 @p4 @p816 @p22 @p814 @p129 @p719 @p717 @p715 @p694) :args ((or @t277 @t179) (@list false false true true true false true true true true) (@list @t158 @t150 @t157 @t149 @t137 @t228 @t222 @t57 @t220 @t54))) % 0.36/0.62 (step @p818 :rule equiv_elim2 :premises (@p692)) % 0.36/0.62 (step @p819 :rule equiv_elim1 :premises (@p714)) % 0.36/0.62 (step @p820 :rule reordering :premises (@p819) :args ((or @t220 (not @t277)))) % 0.36/0.62 (step @p821 :rule chain_m_resolution :premises (@p106 @p190 @p195) :args ((or tptp.c @t211) @t395 (@list @t195 @t194))) % 0.36/0.62 (step @p822 :rule chain_m_resolution :premises (@p766 @p759 @p753 @p821) :args ((or @t179 @t211) (@list false true false) (@list @t195 @t194 tptp.c))) % 0.36/0.62 (step @p823 :rule chain_m_resolution :premises (@p642 @p249 @p769 @p4 @p816 @p22) :args ((or @t137 @t282 @t256 @t318 @t317 @t316 @t315 @t314 @t313 @t190 @t312 @t311 @t310 @t309 @t308 @t307) (@list false false false true true) (@list @t272 @t158 @t150 @t157 @t149))) % 0.36/0.62 (step @p824 :rule chain_m_resolution :premises (@p823 @p309 @p271 @p181 @p209 @p711 @p709 @p203 @p198 @p101) :args ((or @t137 @t250 @t317 @t316 @t315 @t314 @t190 @t312 @t311 @t310 @t309 @t308) (@list false true false false false false true false false) (@list @t292 @t282 @t247 @t260 @t245 @t10 @t256 @t191 @t9))) % 0.36/0.62 (step @p825 :rule chain_m_resolution :premises (@p689 @p823 @p309 @p271 @p661 @p687 @p685 @p653 @p646 @p73 @p824 @p672 @p766 @p217 @p680 @p681 @p759 @p753 @p682 @p683 @p188 @p751 @p746 @p744 @p743 @p741 @p69 @p739 @p149 @p140 @p142 @p135 @p643 @p228 @p695 @p700 @p817) :args ((or @t137 @t179 @t193 @t317) (@list true false true true true true false true true true false false false true false false true false false false false true true false true false false false false true true false false false false false) (@list @t247 @t292 @t282 @t256 @t245 @t10 @t260 @t255 @t9 @t184 @t267 @t211 @t265 @t262 @t14 @t195 @t194 @t258 @t27 @t249 @t231 @t229 @t200 @t209 @t208 @t181 @t227 @t238 @t232 @t235 @t176 @t56 @t53 @t264 @t263 @t277))) % 0.36/0.62 (step @p826 :rule chain_m_resolution :premises (@p58 @p56 @p51 @p46 @p41 @p39 @p37 @p35 @p18 @p13 @p11 @p5 @p4 @p712 @p813 @p825 @p188 @p751 @p746 @p744 @p743 @p741 @p69 @p739 @p822 @p149 @p140 @p142 @p135 @p643 @p228 @p695 @p700 @p817) :args ((or @t179 @t193 @t317) (@list true false false false false false false false true false true false true false false false false true true false true false false false false false true true false false false false false) (@list @t163 @t164 @t166 @t139 @t141 @t143 @t144 @t168 @t157 @t128 @t134 @t149 @t150 @t158 @t137 @t249 @t231 @t229 @t200 @t209 @t208 @t181 @t227 @t211 @t238 @t232 @t235 @t176 @t56 @t53 @t264 @t263 @t277))) % 0.36/0.62 (step @p827 :rule chain_m_resolution :premises (@p673 @p84 @p172 @p826 @p739 @p643 @p228 @p695 @p700 @p817 @p743 @p741 @p135 @p822 @p713) :args ((or @t159 @t317) (@list false false true false false false false false false false true true false true) (@list @t181 @t238 tptp.c @t227 @t56 @t53 @t264 @t263 @t277 @t209 @t208 @t176 @t211 @t179))) % 0.36/0.62 (step @p828 :rule chain_m_resolution :premises (@p129 @p125 @p103 @p114 @p73) :args ((or @t184 @t228) (@list true true true true) (@list @t222 @t57 @t221 @t9))) % 0.36/0.62 (step @p829 :rule equiv_elim1 :premises (@p113)) % 0.36/0.62 (step @p830 :rule reordering :premises (@p829) :args ((or @t221 @t250))) % 0.36/0.62 (step @p831 :rule cnf_and_neg :args (@t57)) % 0.36/0.62 (step @p832 :rule cnf_and_neg :args (@t222)) % 0.36/0.62 (step @p833 :rule cnf_equiv_neg2 :args (@t228)) % 0.36/0.62 (step @p834 :rule chain_m_resolution :premises (@p833 @p832 @p831 @p830 @p101 @p828 @p827 @p820 @p818 @p817 @p713) :args (@t159 (@list false false false false false true false false false true) (@list @t222 @t57 @t221 @t9 @t184 @t228 @t220 @t54 @t277 @t179))) % 0.36/0.62 (step @p835 :rule chain_m_resolution :premises (@p769 @p834) :args (@t157 @t396 @t397)) % 0.36/0.62 (step @p836 :rule chain_m_resolution :premises (@p813 @p834) :args (@t171 @t396 @t397)) % 0.36/0.62 (step @p837 false :rule chain_m_resolution :premises (@p816 @p836 @p835) :args (false @t395 (@list @t137 @t157))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------