%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT155-1 : 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 : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:29:50 AM UTC 2026 % Result : Unsatisfiable 3.11s 3.30s % Output : Proof 3.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT155-1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:54:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.11/3.30 % SZS status Unsatisfiable % 3.11/3.30 % SZS output start Proof % 3.11/3.32 ( % 3.11/3.32 (declare-sort $$unsorted 0) % 3.11/3.32 (declare-const tptp.a $$unsorted) % 3.11/3.32 (declare-const tptp.b $$unsorted) % 3.11/3.32 (declare-const tptp.c $$unsorted) % 3.11/3.32 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 3.11/3.32 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 3.11/3.32 (define @t1 () (@var "X" $$unsorted)) % 3.11/3.32 (define @t2 () (tptp.meet @t1 @t1)) % 3.11/3.32 (define @t3 () (@list @t1)) % 3.11/3.32 (define @t4 () (forall @t3 (= @t2 @t1))) % 3.11/3.32 (define @t5 () (tptp.join @t1 @t1)) % 3.11/3.32 (define @t6 () (forall @t3 (= @t5 @t1))) % 3.11/3.32 (define @t7 () (@var "Y" $$unsorted)) % 3.11/3.32 (define @t8 () (tptp.join @t1 @t7)) % 3.11/3.32 (define @t9 () (tptp.meet @t1 @t8)) % 3.11/3.32 (define @t10 () (@list @t1 @t7)) % 3.11/3.32 (define @t11 () (forall @t10 (= @t9 @t1))) % 3.11/3.32 (define @t12 () (tptp.meet @t1 @t7)) % 3.11/3.32 (define @t13 () (tptp.join @t1 @t12)) % 3.11/3.32 (define @t14 () (forall @t10 (= @t13 @t1))) % 3.11/3.32 (define @t15 () (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 3.11/3.32 (define @t16 () (@var "Z" $$unsorted)) % 3.11/3.32 (define @t17 () (@list @t1 @t7 @t16)) % 3.11/3.32 (define @t18 () (forall @t17 (= (tptp.meet @t12 @t16) (tptp.meet @t1 (tptp.meet @t7 @t16))))) % 3.11/3.32 (define @t19 () (forall @t17 (= (tptp.join @t8 @t16) (tptp.join @t1 (tptp.join @t7 @t16))))) % 3.11/3.32 (define @t20 () (@var "U" $$unsorted)) % 3.11/3.32 (define @t21 () (tptp.meet tptp.b tptp.c)) % 3.11/3.32 (define @t22 () (tptp.join tptp.b tptp.c)) % 3.11/3.32 (define @t23 () (tptp.meet tptp.a @t22)) % 3.11/3.32 (define @t24 () (tptp.join @t23 @t21)) % 3.11/3.32 (define @t25 () (tptp.meet tptp.c @t24)) % 3.11/3.32 (define @t26 () (tptp.join tptp.b @t25)) % 3.11/3.32 (define @t27 () (tptp.meet tptp.a @t26)) % 3.11/3.32 (define @t28 () (tptp.meet tptp.a tptp.c)) % 3.11/3.32 (define @t29 () (tptp.join tptp.b @t28)) % 3.11/3.32 (define @t30 () (tptp.meet tptp.a @t29)) % 3.11/3.32 (define @t31 () (= @t30 @t27)) % 3.11/3.32 (define @t32 () (@list tptp.b tptp.c)) % 3.11/3.32 (define @t33 () (@list tptp.b @t25)) % 3.11/3.32 (define @t34 () (@list @t23 @t21)) % 3.11/3.32 (define @t35 () (@list tptp.a tptp.c)) % 3.11/3.32 (define @t36 () (@list tptp.a @t26)) % 3.11/3.32 (define @t37 () (@list tptp.c @t24)) % 3.11/3.32 (define @t38 () (@list tptp.c tptp.b)) % 3.11/3.32 (define @t39 () (@list @t23 tptp.c)) % 3.11/3.32 (define @t40 () (tptp.join tptp.b @t21)) % 3.11/3.32 (define @t41 () (tptp.meet tptp.c @t40)) % 3.11/3.32 (define @t42 () (tptp.meet @t23 tptp.c)) % 3.11/3.32 (define @t43 () (tptp.join @t42 @t41)) % 3.11/3.32 (define @t44 () (tptp.join tptp.b @t43)) % 3.11/3.32 (define @t45 () (@list @t28 @t25)) % 3.11/3.32 (define @t46 () (tptp.meet @t29 tptp.a)) % 3.11/3.32 (define @t47 () (tptp.meet @t23 @t24)) % 3.11/3.32 (define @t48 () (tptp.meet @t24 tptp.c)) % 3.11/3.32 (define @t49 () (tptp.join @t25 @t25)) % 3.11/3.32 (define @t50 () (@list tptp.b @t49)) % 3.11/3.32 (define @t51 () (tptp.join @t28 tptp.b)) % 3.11/3.32 (define @t52 () (@list @t28 @t51)) % 3.11/3.32 (define @t53 () (tptp.join tptp.c tptp.b)) % 3.11/3.32 (define @t54 () (tptp.meet @t22 @t26)) % 3.11/3.32 (define @t55 () (tptp.meet @t26 @t22)) % 3.11/3.32 (define @t56 () (= @t54 @t55)) % 3.11/3.32 (define @t57 () (@list @t22 @t26)) % 3.11/3.32 (define @t58 () (= @t55 @t54)) % 3.11/3.32 (define @t59 () (@list false)) % 3.11/3.32 (define @t60 () (tptp.join @t21 @t23)) % 3.11/3.32 (define @t61 () (tptp.join @t27 @t28)) % 3.11/3.32 (define @t62 () (tptp.meet tptp.c tptp.a)) % 3.11/3.32 (define @t63 () (tptp.join @t62 @t27)) % 3.11/3.32 (define @t64 () (@list tptp.b @t63)) % 3.11/3.32 (define @t65 () (tptp.join @t25 tptp.b)) % 3.11/3.32 (define @t66 () (tptp.meet tptp.c tptp.b)) % 3.11/3.32 (define @t67 () (tptp.meet @t26 tptp.a)) % 3.11/3.32 (define @t68 () (tptp.join @t21 tptp.c)) % 3.11/3.32 (define @t69 () (tptp.meet tptp.a @t68)) % 3.11/3.32 (define @t70 () (tptp.meet tptp.b tptp.a)) % 3.11/3.32 (define @t71 () (tptp.join tptp.c @t25)) % 3.11/3.32 (define @t72 () (tptp.meet @t22 @t24)) % 3.11/3.32 (define @t73 () (tptp.meet @t44 tptp.a)) % 3.11/3.32 (define @t74 () (tptp.meet @t73 @t22)) % 3.11/3.32 (define @t75 () (tptp.meet @t44 @t23)) % 3.11/3.32 (define @t76 () (= @t74 @t75)) % 3.11/3.32 (define @t77 () (= @t75 @t74)) % 3.11/3.32 (define @t78 () (@list @t18)) % 3.11/3.32 (define @t79 () (tptp.meet @t23 @t26)) % 3.11/3.32 (define @t80 () (tptp.join @t27 @t23)) % 3.11/3.32 (define @t81 () (tptp.join @t27 @t27)) % 3.11/3.32 (define @t82 () (tptp.meet tptp.b @t49)) % 3.11/3.32 (define @t83 () (tptp.join @t21 @t21)) % 3.11/3.32 (define @t84 () (tptp.join (tptp.join tptp.b @t62) @t27)) % 3.11/3.32 (define @t85 () (tptp.join tptp.b @t63)) % 3.11/3.32 (define @t86 () (= @t84 @t85)) % 3.11/3.32 (define @t87 () (@list tptp.b @t62 @t27)) % 3.11/3.32 (define @t88 () (= @t85 @t84)) % 3.11/3.32 (define @t89 () (@list @t19)) % 3.11/3.32 (define @t90 () (@list @t63 tptp.b)) % 3.11/3.32 (define @t91 () (@list tptp.a @t83)) % 3.11/3.32 (define @t92 () (tptp.join @t28 @t81)) % 3.11/3.32 (define @t93 () (tptp.meet @t72 tptp.c)) % 3.11/3.32 (define @t94 () (tptp.join @t23 @t23)) % 3.11/3.32 (define @t95 () (tptp.join @t42 @t49)) % 3.11/3.32 (define @t96 () (tptp.join @t26 @t28)) % 3.11/3.32 (define @t97 () (tptp.join tptp.b (tptp.meet tptp.a @t96))) % 3.11/3.32 (define @t98 () (tptp.join tptp.b @t83)) % 3.11/3.32 (define @t99 () (tptp.meet tptp.c @t53)) % 3.11/3.32 (define @t100 () (tptp.join @t99 (tptp.meet @t53 @t98))) % 3.11/3.32 (define @t101 () (tptp.join @t49 @t62)) % 3.11/3.32 (define @t102 () (tptp.join @t65 @t21)) % 3.11/3.32 (define @t103 () (tptp.meet tptp.a @t102)) % 3.11/3.32 (define @t104 () (tptp.join @t62 @t103)) % 3.11/3.32 (define @t105 () (tptp.meet tptp.a @t61)) % 3.11/3.32 (define @t106 () (tptp.join tptp.b @t100)) % 3.11/3.32 (define @t107 () (tptp.join @t24 @t48)) % 3.11/3.32 (define @t108 () (tptp.join @t28 @t25)) % 3.11/3.32 (define @t109 () (tptp.join @t29 @t46)) % 3.11/3.32 (define @t110 () (tptp.meet @t51 tptp.a)) % 3.11/3.32 (define @t111 () (tptp.meet @t110 tptp.c)) % 3.11/3.32 (define @t112 () (tptp.meet @t51 @t28)) % 3.11/3.32 (define @t113 () (= @t111 @t112)) % 3.11/3.32 (define @t114 () (@list @t51 tptp.a tptp.c)) % 3.11/3.32 (define @t115 () (= @t112 @t111)) % 3.11/3.32 (define @t116 () (tptp.join @t81 @t80)) % 3.11/3.32 (define @t117 () (tptp.meet @t28 @t51)) % 3.11/3.32 (define @t118 () (tptp.join @t67 tptp.b)) % 3.11/3.32 (define @t119 () (tptp.join @t118 @t25)) % 3.11/3.32 (define @t120 () (tptp.join @t67 @t26)) % 3.11/3.32 (define @t121 () (= @t119 @t120)) % 3.11/3.32 (define @t122 () (@list @t67 tptp.b @t25)) % 3.11/3.32 (define @t123 () (= @t120 @t119)) % 3.11/3.32 (define @t124 () (tptp.meet tptp.a (tptp.join @t62 @t25))) % 3.11/3.32 (define @t125 () (tptp.join @t62 @t70)) % 3.11/3.32 (define @t126 () (tptp.join @t125 @t124)) % 3.11/3.32 (define @t127 () (tptp.join @t62 (tptp.join @t70 @t124))) % 3.11/3.32 (define @t128 () (= @t126 @t127)) % 3.11/3.32 (define @t129 () (@list @t62 @t70 @t124)) % 3.11/3.32 (define @t130 () (= @t127 @t126)) % 3.11/3.32 (define @t131 () (tptp.join tptp.b @t27)) % 3.11/3.32 (define @t132 () (tptp.join @t131 @t27)) % 3.11/3.32 (define @t133 () (tptp.join tptp.b @t81)) % 3.11/3.32 (define @t134 () (= @t132 @t133)) % 3.11/3.32 (define @t135 () (@list tptp.b @t27 @t27)) % 3.11/3.32 (define @t136 () (= @t133 @t132)) % 3.11/3.32 (define @t137 () (tptp.meet tptp.b @t22)) % 3.11/3.32 (define @t138 () (= tptp.b @t137)) % 3.11/3.32 (define @t139 () (tptp.meet tptp.b @t26)) % 3.11/3.32 (define @t140 () (= tptp.b @t139)) % 3.11/3.32 (define @t141 () (= @t23 @t47)) % 3.11/3.32 (define @t142 () (tptp.join tptp.a @t28)) % 3.11/3.32 (define @t143 () (= tptp.a @t142)) % 3.11/3.32 (define @t144 () (= tptp.a (tptp.join tptp.a @t23))) % 3.11/3.32 (define @t145 () (tptp.join tptp.a @t27)) % 3.11/3.32 (define @t146 () (= tptp.a @t145)) % 3.11/3.32 (define @t147 () (= tptp.b @t40)) % 3.11/3.32 (define @t148 () (= tptp.c @t71)) % 3.11/3.32 (define @t149 () (= @t28 @t62)) % 3.11/3.32 (define @t150 () (= @t30 @t46)) % 3.11/3.32 (define @t151 () (= @t27 @t67)) % 3.11/3.32 (define @t152 () (= @t21 @t66)) % 3.11/3.32 (define @t153 () (= @t25 @t48)) % 3.11/3.32 (define @t154 () (= @t22 @t53)) % 3.11/3.32 (define @t155 () (= @t29 @t51)) % 3.11/3.32 (define @t156 () (= @t26 @t65)) % 3.11/3.32 (define @t157 () (= @t24 @t60)) % 3.11/3.32 (define @t158 () (tptp.meet @t23 @t44)) % 3.11/3.32 (define @t159 () (= @t79 @t158)) % 3.11/3.32 (define @t160 () (tptp.meet tptp.a @t142)) % 3.11/3.32 (define @t161 () (= tptp.a @t160)) % 3.11/3.32 (define @t162 () (= tptp.c @t99)) % 3.11/3.32 (define @t163 () (tptp.meet tptp.c @t71)) % 3.11/3.32 (define @t164 () (= tptp.c @t163)) % 3.11/3.32 (define @t165 () (= @t28 @t117)) % 3.11/3.32 (define @t166 () (tptp.meet @t21 @t60)) % 3.11/3.32 (define @t167 () (= @t21 @t166)) % 3.11/3.32 (define @t168 () (tptp.join tptp.c @t62)) % 3.11/3.32 (define @t169 () (= tptp.c @t168)) % 3.11/3.32 (define @t170 () (tptp.join tptp.c @t66)) % 3.11/3.32 (define @t171 () (= tptp.c @t170)) % 3.11/3.32 (define @t172 () (= @t29 @t109)) % 3.11/3.32 (define @t173 () (tptp.join @t23 @t42)) % 3.11/3.32 (define @t174 () (= @t23 @t173)) % 3.11/3.32 (define @t175 () (tptp.join @t23 @t47)) % 3.11/3.32 (define @t176 () (= @t23 @t175)) % 3.11/3.32 (define @t177 () (tptp.join @t23 @t79)) % 3.11/3.32 (define @t178 () (= @t23 @t177)) % 3.11/3.32 (define @t179 () (= @t24 @t107)) % 3.11/3.32 (define @t180 () (tptp.join @t26 @t67)) % 3.11/3.32 (define @t181 () (= @t26 @t180)) % 3.11/3.32 (define @t182 () (tptp.meet @t22 tptp.b)) % 3.11/3.32 (define @t183 () (= @t137 @t182)) % 3.11/3.32 (define @t184 () (tptp.meet @t26 tptp.b)) % 3.11/3.32 (define @t185 () (= @t139 @t184)) % 3.11/3.32 (define @t186 () (= @t42 (tptp.meet tptp.c @t23))) % 3.11/3.32 (define @t187 () (= @t158 @t75)) % 3.11/3.32 (define @t188 () (= @t43 (tptp.join @t41 @t42))) % 3.11/3.32 (define @t189 () (tptp.meet tptp.a @t72)) % 3.11/3.32 (define @t190 () (= @t47 @t189)) % 3.11/3.32 (define @t191 () (tptp.meet @t22 tptp.c)) % 3.11/3.32 (define @t192 () (= @t42 (tptp.meet tptp.a @t191))) % 3.11/3.32 (define @t193 () (tptp.meet tptp.a @t54)) % 3.11/3.32 (define @t194 () (= @t79 @t193)) % 3.11/3.32 (define @t195 () (tptp.join @t21 @t28)) % 3.11/3.32 (define @t196 () (tptp.join tptp.b @t195)) % 3.11/3.32 (define @t197 () (= (tptp.join @t40 @t28) @t196)) % 3.11/3.32 (define @t198 () (tptp.join tptp.a @t61)) % 3.11/3.32 (define @t199 () (= (tptp.join @t145 @t28) @t198)) % 3.11/3.32 (define @t200 () (tptp.join @t145 @t23)) % 3.11/3.32 (define @t201 () (= @t200 (tptp.join tptp.a @t80))) % 3.11/3.32 (define @t202 () (tptp.join tptp.a @t81)) % 3.11/3.32 (define @t203 () (tptp.join @t145 @t27)) % 3.11/3.32 (define @t204 () (= @t203 @t202)) % 3.11/3.32 (define @t205 () (tptp.join @t40 @t21)) % 3.11/3.32 (define @t206 () (= @t205 @t98)) % 3.11/3.32 (define @t207 () (tptp.join tptp.c @t49)) % 3.11/3.32 (define @t208 () (tptp.join @t71 @t25)) % 3.11/3.32 (define @t209 () (= @t208 @t207)) % 3.11/3.32 (define @t210 () (tptp.join tptp.c @t65)) % 3.11/3.32 (define @t211 () (= (tptp.join @t71 tptp.b) @t210)) % 3.11/3.32 (define @t212 () (tptp.join @t25 @t40)) % 3.11/3.32 (define @t213 () (= @t102 @t212)) % 3.11/3.32 (define @t214 () (tptp.meet tptp.b (tptp.join @t25 (tptp.join (tptp.meet tptp.b tptp.b) @t82)))) % 3.11/3.32 (define @t215 () (tptp.join @t25 @t139)) % 3.11/3.32 (define @t216 () (tptp.meet tptp.b @t215)) % 3.11/3.32 (define @t217 () (= @t216 @t214)) % 3.11/3.32 (define @t218 () (= @t26 (tptp.meet @t26 @t26))) % 3.11/3.32 (define @t219 () (= @t25 @t49)) % 3.11/3.32 (define @t220 () (= @t27 @t81)) % 3.11/3.32 (define @t221 () (= @t21 @t83)) % 3.11/3.32 (define @t222 () (tptp.meet tptp.b (tptp.join tptp.b @t23))) % 3.11/3.32 (define @t223 () (= tptp.b @t222)) % 3.11/3.32 (define @t224 () (tptp.meet @t28 @t108)) % 3.11/3.32 (define @t225 () (= @t28 @t224)) % 3.11/3.32 (define @t226 () (tptp.meet @t29 @t109)) % 3.11/3.32 (define @t227 () (= @t29 @t226)) % 3.11/3.32 (define @t228 () (= @t23 (tptp.meet @t23 @t175))) % 3.11/3.32 (define @t229 () (tptp.meet @t24 @t107)) % 3.11/3.32 (define @t230 () (= @t24 @t229)) % 3.11/3.32 (define @t231 () (tptp.meet @t27 @t61)) % 3.11/3.32 (define @t232 () (= @t27 @t231)) % 3.11/3.32 (define @t233 () (= @t21 (tptp.meet @t21 @t68))) % 3.11/3.32 (define @t234 () (= tptp.b (tptp.join tptp.b @t82))) % 3.11/3.32 (define @t235 () (tptp.join @t28 @t117)) % 3.11/3.32 (define @t236 () (= @t28 @t235)) % 3.11/3.32 (define @t237 () (tptp.join @t22 @t182)) % 3.11/3.32 (define @t238 () (= @t22 @t237)) % 3.11/3.32 (define @t239 () (tptp.join @t44 @t75)) % 3.11/3.32 (define @t240 () (= @t44 @t239)) % 3.11/3.32 (define @t241 () (tptp.meet tptp.a tptp.b)) % 3.11/3.32 (define @t242 () (= @t70 @t241)) % 3.11/3.32 (define @t243 () (tptp.meet @t49 tptp.b)) % 3.11/3.32 (define @t244 () (= @t82 @t243)) % 3.11/3.32 (define @t245 () (tptp.meet @t53 tptp.c)) % 3.11/3.32 (define @t246 () (= @t99 @t245)) % 3.11/3.32 (define @t247 () (= @t117 @t112)) % 3.11/3.32 (define @t248 () (tptp.meet @t60 @t21)) % 3.11/3.32 (define @t249 () (= @t166 @t248)) % 3.11/3.32 (define @t250 () (tptp.join @t61 tptp.a)) % 3.11/3.32 (define @t251 () (= @t198 @t250)) % 3.11/3.32 (define @t252 () (tptp.join @t63 tptp.b)) % 3.11/3.32 (define @t253 () (= @t85 @t252)) % 3.11/3.32 (define @t254 () (= @t168 (tptp.join @t62 tptp.c))) % 3.11/3.32 (define @t255 () (tptp.join @t65 tptp.c)) % 3.11/3.32 (define @t256 () (= @t210 @t255)) % 3.11/3.32 (define @t257 () (tptp.join @t66 tptp.c)) % 3.11/3.32 (define @t258 () (= @t170 @t257)) % 3.11/3.32 (define @t259 () (tptp.join @t25 @t28)) % 3.11/3.32 (define @t260 () (= @t108 @t259)) % 3.11/3.32 (define @t261 () (tptp.join @t27 @t62)) % 3.11/3.32 (define @t262 () (= @t63 @t261)) % 3.11/3.32 (define @t263 () (tptp.join @t42 @t23)) % 3.11/3.32 (define @t264 () (= @t173 @t263)) % 3.11/3.32 (define @t265 () (= @t180 @t120)) % 3.11/3.32 (define @t266 () (tptp.join @t30 @t27)) % 3.11/3.32 (define @t267 () (= (tptp.join @t27 @t30) @t266)) % 3.11/3.32 (define @t268 () (= @t80 (tptp.join @t23 @t27))) % 3.11/3.32 (define @t269 () (tptp.join @t25 @t21)) % 3.11/3.32 (define @t270 () (tptp.join @t21 @t25)) % 3.11/3.32 (define @t271 () (= @t270 @t269)) % 3.11/3.32 (define @t272 () (tptp.join @t69 @t70)) % 3.11/3.32 (define @t273 () (tptp.join @t70 @t69)) % 3.11/3.32 (define @t274 () (= @t273 @t272)) % 3.11/3.32 (define @t275 () (tptp.meet @t163 @t24)) % 3.11/3.32 (define @t276 () (= @t275 (tptp.meet tptp.c (tptp.meet @t71 @t24)))) % 3.11/3.32 (define @t277 () (tptp.meet tptp.a @t93)) % 3.11/3.32 (define @t278 () (tptp.meet @t189 tptp.c)) % 3.11/3.32 (define @t279 () (= @t278 @t277)) % 3.11/3.32 (define @t280 () (tptp.join tptp.c @t101)) % 3.11/3.32 (define @t281 () (= (tptp.join @t207 @t62) @t280)) % 3.11/3.32 (define @t282 () (tptp.join @t49 @t66)) % 3.11/3.32 (define @t283 () (tptp.join @t207 @t66)) % 3.11/3.32 (define @t284 () (= @t283 (tptp.join tptp.c @t282))) % 3.11/3.32 (define @t285 () (tptp.join @t28 @t46)) % 3.11/3.32 (define @t286 () (= @t109 (tptp.join tptp.b @t285))) % 3.11/3.32 (define @t287 () (tptp.join @t23 (tptp.join @t79 @t79))) % 3.11/3.32 (define @t288 () (tptp.join @t177 @t79)) % 3.11/3.32 (define @t289 () (= @t288 @t287)) % 3.11/3.32 (define @t290 () (tptp.join @t21 @t48)) % 3.11/3.32 (define @t291 () (= @t107 (tptp.join @t23 @t290))) % 3.11/3.32 (define @t292 () (tptp.join tptp.a @t116)) % 3.11/3.32 (define @t293 () (tptp.join @t202 @t80)) % 3.11/3.32 (define @t294 () (= @t293 @t292)) % 3.11/3.32 (define @t295 () (tptp.join tptp.b (tptp.join @t83 @t82))) % 3.11/3.32 (define @t296 () (tptp.join @t98 @t82)) % 3.11/3.32 (define @t297 () (= @t296 @t295)) % 3.11/3.32 (define @t298 () (tptp.join @t27 @t177)) % 3.11/3.32 (define @t299 () (tptp.join @t80 @t79)) % 3.11/3.32 (define @t300 () (= @t299 @t298)) % 3.11/3.32 (define @t301 () (tptp.meet tptp.b (tptp.join tptp.b (tptp.join @t70 @t23)))) % 3.11/3.32 (define @t302 () (= @t222 @t301)) % 3.11/3.32 (define @t303 () (tptp.meet tptp.b @t63)) % 3.11/3.32 (define @t304 () (= @t303 (tptp.meet tptp.b @t127))) % 3.11/3.32 (define @t305 () (tptp.meet tptp.b @t207)) % 3.11/3.32 (define @t306 () (tptp.join @t184 @t305)) % 3.11/3.32 (define @t307 () (tptp.join tptp.c @t306)) % 3.11/3.32 (define @t308 () (tptp.meet @t26 @t307)) % 3.11/3.32 (define @t309 () (tptp.meet @t26 (tptp.join tptp.c (tptp.meet tptp.b (tptp.join @t26 @t49))))) % 3.11/3.32 (define @t310 () (= @t309 @t308)) % 3.11/3.32 (define @t311 () (tptp.meet tptp.c @t106)) % 3.11/3.32 (define @t312 () (tptp.join tptp.c @t83)) % 3.11/3.32 (define @t313 () (tptp.meet @t53 @t312)) % 3.11/3.32 (define @t314 () (tptp.join tptp.b @t313)) % 3.11/3.32 (define @t315 () (tptp.meet tptp.c @t314)) % 3.11/3.32 (define @t316 () (= @t315 @t311)) % 3.11/3.32 (define @t317 () (tptp.meet @t60 @t207)) % 3.11/3.32 (define @t318 () (tptp.join @t166 @t317)) % 3.11/3.32 (define @t319 () (tptp.join tptp.c @t318)) % 3.11/3.32 (define @t320 () (tptp.meet @t21 @t319)) % 3.11/3.32 (define @t321 () (tptp.join @t21 @t49)) % 3.11/3.32 (define @t322 () (tptp.meet @t60 @t321)) % 3.11/3.32 (define @t323 () (tptp.meet @t21 (tptp.join tptp.c @t322))) % 3.11/3.32 (define @t324 () (= @t323 @t320)) % 3.11/3.32 (define @t325 () (tptp.join @t67 @t30)) % 3.11/3.32 (define @t326 () (tptp.join tptp.b @t325)) % 3.11/3.32 (define @t327 () (tptp.meet @t26 @t326)) % 3.11/3.32 (define @t328 () (tptp.meet @t26 @t97)) % 3.11/3.32 (define @t329 () (= @t328 @t327)) % 3.11/3.32 (define @t330 () (tptp.join @t184 @t82)) % 3.11/3.32 (define @t331 () (tptp.join @t25 @t330)) % 3.11/3.32 (define @t332 () (tptp.meet @t26 @t331)) % 3.11/3.32 (define @t333 () (tptp.meet @t26 (tptp.join @t25 (tptp.meet tptp.b (tptp.join @t26 @t25))))) % 3.11/3.32 (define @t334 () (= @t333 @t332)) % 3.11/3.32 (define @t335 () (= @t65 (tptp.meet @t65 @t255))) % 3.11/3.32 (define @t336 () (= @t26 (tptp.meet @t26 @t96))) % 3.11/3.32 (define @t337 () (= @t61 (tptp.meet @t61 @t250))) % 3.11/3.32 (define @t338 () (= @t63 (tptp.meet @t63 @t252))) % 3.11/3.32 (define @t339 () (tptp.meet tptp.a @t83)) % 3.11/3.32 (define @t340 () (= tptp.a (tptp.join tptp.a @t339))) % 3.11/3.32 (define @t341 () (= @t73 (tptp.join @t73 @t74))) % 3.11/3.32 (define @t342 () (= @t60 (tptp.join @t60 @t248))) % 3.11/3.32 (define @t343 () (= @t49 (tptp.join @t49 @t243))) % 3.11/3.32 (define @t344 () (= @t339 (tptp.meet @t83 tptp.a))) % 3.11/3.32 (define @t345 () (tptp.meet @t92 tptp.a)) % 3.11/3.32 (define @t346 () (tptp.meet tptp.a @t92)) % 3.11/3.32 (define @t347 () (= @t346 @t345)) % 3.11/3.32 (define @t348 () (tptp.meet @t93 tptp.a)) % 3.11/3.32 (define @t349 () (= @t277 @t348)) % 3.11/3.32 (define @t350 () (tptp.meet tptp.b @t94)) % 3.11/3.32 (define @t351 () (= @t350 (tptp.meet @t94 tptp.b))) % 3.11/3.32 (define @t352 () (tptp.meet @t63 tptp.b)) % 3.11/3.32 (define @t353 () (= @t303 @t352)) % 3.11/3.32 (define @t354 () (tptp.meet @t95 tptp.c)) % 3.11/3.32 (define @t355 () (= (tptp.meet tptp.c @t95) @t354)) % 3.11/3.32 (define @t356 () (= @t328 (tptp.meet @t97 @t26))) % 3.11/3.32 (define @t357 () (tptp.meet tptp.c @t72)) % 3.11/3.32 (define @t358 () (= @t93 @t357)) % 3.11/3.32 (define @t359 () (= @t106 (tptp.join @t100 tptp.b))) % 3.11/3.32 (define @t360 () (= @t133 (tptp.join @t81 tptp.b))) % 3.11/3.32 (define @t361 () (tptp.join @t101 tptp.c)) % 3.11/3.32 (define @t362 () (= @t280 @t361)) % 3.11/3.32 (define @t363 () (= @t285 (tptp.join @t46 @t28))) % 3.11/3.32 (define @t364 () (tptp.join @t104 @t65)) % 3.11/3.32 (define @t365 () (tptp.join @t65 @t104)) % 3.11/3.32 (define @t366 () (= @t365 @t364)) % 3.11/3.32 (define @t367 () (tptp.join @t105 @t70)) % 3.11/3.32 (define @t368 () (tptp.join @t70 @t105)) % 3.11/3.32 (define @t369 () (= @t368 @t367)) % 3.11/3.32 (define @t370 () (tptp.meet @t311 @t24)) % 3.11/3.32 (define @t371 () (= @t370 (tptp.meet tptp.c (tptp.meet @t106 @t24)))) % 3.11/3.32 (define @t372 () (tptp.meet @t229 tptp.c)) % 3.11/3.32 (define @t373 () (= @t372 (tptp.meet @t24 (tptp.meet @t107 tptp.c)))) % 3.11/3.32 (define @t374 () (tptp.meet tptp.c @t108)) % 3.11/3.32 (define @t375 () (tptp.meet tptp.a @t374)) % 3.11/3.32 (define @t376 () (= @t224 @t375)) % 3.11/3.32 (define @t377 () (tptp.meet @t26 @t61)) % 3.11/3.32 (define @t378 () (= @t231 (tptp.meet tptp.a @t377))) % 3.11/3.32 (define @t379 () (tptp.meet @t23 tptp.b)) % 3.11/3.32 (define @t380 () (= @t379 (tptp.meet tptp.a @t182))) % 3.11/3.32 (define @t381 () (tptp.meet @t23 @t226)) % 3.11/3.32 (define @t382 () (= (tptp.meet (tptp.meet @t23 @t29) @t109) @t381)) % 3.11/3.32 (define @t383 () (tptp.meet tptp.b @t25)) % 3.11/3.32 (define @t384 () (= (tptp.meet @t21 @t24) @t383)) % 3.11/3.32 (define @t385 () (tptp.join @t116 @t25)) % 3.11/3.32 (define @t386 () (tptp.join tptp.a @t385)) % 3.11/3.32 (define @t387 () (= (tptp.join @t292 @t25) @t386)) % 3.11/3.32 (define @t388 () (tptp.join @t49 @t28)) % 3.11/3.32 (define @t389 () (= @t388 (tptp.join @t25 @t259))) % 3.11/3.32 (define @t390 () (tptp.join @t235 @t70)) % 3.11/3.32 (define @t391 () (= @t390 (tptp.join @t28 (tptp.join @t117 @t70)))) % 3.11/3.32 (define @t392 () (tptp.join @t292 @t21)) % 3.11/3.32 (define @t393 () (= @t392 (tptp.join tptp.a (tptp.join @t116 @t21)))) % 3.11/3.32 (define @t394 () (= @t96 (tptp.join tptp.b @t259))) % 3.11/3.32 (define @t395 () (tptp.join tptp.b (tptp.join @t25 @t104))) % 3.11/3.32 (define @t396 () (tptp.join @t26 @t104)) % 3.11/3.32 (define @t397 () (= @t396 @t395)) % 3.11/3.32 (define @t398 () (tptp.join @t27 @t235)) % 3.11/3.32 (define @t399 () (tptp.join @t61 @t117)) % 3.11/3.32 (define @t400 () (= @t399 @t398)) % 3.11/3.32 (define @t401 () (tptp.join @t70 @t28)) % 3.11/3.32 (define @t402 () (tptp.join @t401 @t117)) % 3.11/3.32 (define @t403 () (= @t402 (tptp.join @t70 @t235))) % 3.11/3.32 (define @t404 () (tptp.join tptp.b @t266)) % 3.11/3.32 (define @t405 () (tptp.join tptp.b @t30)) % 3.11/3.32 (define @t406 () (tptp.join @t405 @t27)) % 3.11/3.32 (define @t407 () (= @t406 @t404)) % 3.11/3.32 (define @t408 () (tptp.join @t65 @t27)) % 3.11/3.32 (define @t409 () (tptp.join @t408 @t28)) % 3.11/3.32 (define @t410 () (= @t409 (tptp.join @t65 @t61))) % 3.11/3.32 (define @t411 () (tptp.join @t42 tptp.c)) % 3.11/3.32 (define @t412 () (tptp.meet tptp.a @t411)) % 3.11/3.32 (define @t413 () (tptp.join @t70 @t412)) % 3.11/3.32 (define @t414 () (tptp.join @t42 @t413)) % 3.11/3.32 (define @t415 () (tptp.meet tptp.b @t414)) % 3.11/3.32 (define @t416 () (= (tptp.meet tptp.b @t263) @t415)) % 3.11/3.32 (define @t417 () (tptp.meet tptp.c @t269)) % 3.11/3.32 (define @t418 () (tptp.join @t28 @t417)) % 3.11/3.32 (define @t419 () (tptp.join @t25 @t418)) % 3.11/3.32 (define @t420 () (tptp.meet tptp.a @t419)) % 3.11/3.32 (define @t421 () (tptp.join tptp.a @t21)) % 3.11/3.32 (define @t422 () (= (tptp.meet tptp.a (tptp.join @t25 (tptp.meet tptp.c @t421))) @t420)) % 3.11/3.32 (define @t423 () (tptp.meet @t21 @t292)) % 3.11/3.32 (define @t424 () (tptp.meet tptp.a (tptp.join tptp.a (tptp.join (tptp.meet tptp.a @t21) @t423)))) % 3.11/3.32 (define @t425 () (tptp.join tptp.a @t423)) % 3.11/3.32 (define @t426 () (tptp.meet tptp.a @t425)) % 3.11/3.32 (define @t427 () (= @t426 @t424)) % 3.11/3.32 (define @t428 () (tptp.meet @t104 @t364)) % 3.11/3.32 (define @t429 () (= @t104 @t428)) % 3.11/3.32 (define @t430 () (= @t101 (tptp.meet @t101 @t361))) % 3.11/3.32 (define @t431 () (tptp.meet @t118 @t119)) % 3.11/3.32 (define @t432 () (= @t118 @t431)) % 3.11/3.32 (define @t433 () (tptp.join @t110 @t111)) % 3.11/3.32 (define @t434 () (= @t110 @t433)) % 3.11/3.32 (define @t435 () (tptp.join @t93 @t348)) % 3.11/3.32 (define @t436 () (= @t93 @t435)) % 3.11/3.32 (define @t437 () (= @t63 (tptp.join @t63 @t352))) % 3.11/3.32 (define @t438 () (= @t377 (tptp.meet @t61 @t26))) % 3.11/3.32 (define @t439 () (tptp.meet @t27 @t109)) % 3.11/3.32 (define @t440 () (= @t439 (tptp.meet tptp.a (tptp.meet @t26 @t109)))) % 3.11/3.32 (define @t441 () (tptp.meet tptp.c @t98)) % 3.11/3.32 (define @t442 () (tptp.join @t42 @t441)) % 3.11/3.32 (define @t443 () (tptp.join tptp.b @t442)) % 3.11/3.32 (define @t444 () (tptp.meet @t23 @t443)) % 3.11/3.32 (define @t445 () (tptp.meet tptp.c @t177)) % 3.11/3.32 (define @t446 () (tptp.join @t83 @t28)) % 3.11/3.32 (define @t447 () (tptp.join @t117 @t46)) % 3.11/3.32 (define @t448 () (tptp.meet tptp.a @t395)) % 3.11/3.32 (define @t449 () (tptp.join @t24 @t21)) % 3.11/3.32 (define @t450 () (tptp.meet @t21 tptp.c)) % 3.11/3.32 (define @t451 () (tptp.join @t24 @t323)) % 3.11/3.32 (define @t452 () (tptp.meet tptp.c @t449)) % 3.11/3.32 (define @t453 () (tptp.join @t42 @t452)) % 3.11/3.32 (define @t454 () (tptp.join tptp.b @t453)) % 3.11/3.32 (define @t455 () (tptp.join @t21 @t452)) % 3.11/3.32 (define @t456 () (tptp.join @t28 @t322)) % 3.11/3.32 (define @t457 () (tptp.meet @t106 @t449)) % 3.11/3.32 (define @t458 () (tptp.join @t131 @t79)) % 3.11/3.32 (define @t459 () (tptp.meet tptp.b @t399)) % 3.11/3.32 (define @t460 () (tptp.join tptp.c @t28)) % 3.11/3.32 (define @t461 () (tptp.meet tptp.b @t460)) % 3.11/3.32 (define @t462 () (tptp.join @t25 @t461)) % 3.11/3.32 (define @t463 () (tptp.join tptp.a @t323)) % 3.11/3.32 (define @t464 () (tptp.meet @t23 @t23)) % 3.11/3.32 (define @t465 () (tptp.join tptp.a @t49)) % 3.11/3.32 (define @t466 () (tptp.meet tptp.c @t465)) % 3.11/3.32 (define @t467 () (tptp.join @t282 @t466)) % 3.11/3.32 (define @t468 () (tptp.meet tptp.a @t467)) % 3.11/3.32 (define @t469 () (tptp.meet tptp.c @t107)) % 3.11/3.32 (define @t470 () (tptp.join tptp.c @t21)) % 3.11/3.32 (define @t471 () (tptp.meet tptp.c @t470)) % 3.11/3.32 (define @t472 () (tptp.meet @t26 @t368)) % 3.11/3.32 (define @t473 () (tptp.meet @t26 @t364)) % 3.11/3.32 (define @t474 () (tptp.join @t104 @t473)) % 3.11/3.32 (define @t475 () (tptp.meet @t63 @t29)) % 3.11/3.32 (define @t476 () (tptp.join @t303 @t475)) % 3.11/3.32 (define @t477 () (and @t138 @t140 @t141 @t143 @t144 @t146 @t147 @t148 @t149 @t150 @t151 @t152 @t153 @t154 @t155 @t156 @t157 @t159 @t161 @t162 @t164 @t165 @t167 @t169 @t171 @t172 @t174 @t176 @t178 @t179 @t181 @t183 @t185 @t186 @t187 @t188 @t190 @t192 @t194 @t197 @t199 @t201 @t204 @t206 @t209 @t211 @t213 @t217 @t218 @t219 @t220 @t221 @t223 @t225 @t227 @t228 @t230 @t232 @t233 @t234 @t236 @t238 @t240 @t242 @t244 @t246 @t247 @t58 @t249 @t251 @t253 @t254 @t256 @t258 @t260 @t262 @t264 @t265 @t267 @t268 @t271 @t274 @t276 @t279 @t77 @t281 @t284 @t286 @t289 @t291 @t294 @t297 @t300 @t88 @t302 @t304 @t310 @t316 @t324 @t329 @t334 @t335 @t336 @t337 @t338 @t340 @t341 @t342 @t343 @t344 @t347 @t349 @t351 @t353 @t355 @t356 @t358 @t359 @t360 @t362 @t363 @t366 @t369 @t371 @t373 @t376 @t378 @t380 @t382 @t384 @t115 @t387 @t389 @t391 @t393 @t394 @t397 @t400 @t403 @t123 @t130 @t407 @t136 @t410 @t416 @t422 @t427 @t429 @t430 @t432 @t434 @t436 @t437 @t438 @t440)) % 3.11/3.32 (assume @p1 @t4) % 3.11/3.32 (assume @p2 @t6) % 3.11/3.32 (assume @p3 @t11) % 3.11/3.32 (assume @p4 @t14) % 3.11/3.32 (assume @p5 @t15) % 3.11/3.32 (assume @p6 (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 3.11/3.32 (assume @p7 @t18) % 3.11/3.32 (assume @p8 @t19) % 3.11/3.32 (assume @p9 (forall (@list @t1 @t7 @t16 @t20) (= (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t16 (tptp.join @t1 @t20)))) (tptp.meet @t1 (tptp.join @t7 (tptp.join (tptp.meet @t1 @t16) (tptp.meet @t16 (tptp.join @t7 @t20)))))))) % 3.11/3.32 (assume @p10 (not @t31)) % 3.11/3.32 (step @p11 :rule eq-symm :args (@t9 @t1)) % 3.11/3.32 (step @p12 :rule cong :premises (@p11) :args (@t11)) % 3.11/3.32 (step @p13 :rule eq_resolve :premises (@p3 @p12)) % 3.11/3.32 (step @p14 :rule instantiate :premises (@p13) :args (@t32)) % 3.11/3.32 (step @p15 :rule instantiate :premises (@p13) :args (@t33)) % 3.11/3.32 (step @p16 :rule instantiate :premises (@p13) :args (@t34)) % 3.11/3.32 (step @p17 :rule eq-symm :args (@t13 @t1)) % 3.11/3.32 (step @p18 :rule cong :premises (@p17) :args (@t14)) % 3.11/3.32 (step @p19 :rule eq_resolve :premises (@p4 @p18)) % 3.11/3.32 (step @p20 :rule instantiate :premises (@p19) :args (@t35)) % 3.11/3.32 (step @p21 :rule instantiate :premises (@p19) :args ((@list tptp.a @t22))) % 3.11/3.32 (step @p22 :rule instantiate :premises (@p19) :args (@t36)) % 3.11/3.32 (step @p23 :rule instantiate :premises (@p19) :args (@t32)) % 3.11/3.32 (step @p24 :rule instantiate :premises (@p19) :args (@t37)) % 3.11/3.32 (step @p25 :rule instantiate :premises (@p5) :args (@t35)) % 3.11/3.32 (step @p26 :rule instantiate :premises (@p5) :args ((@list tptp.a @t29))) % 3.11/3.32 (step @p27 :rule instantiate :premises (@p5) :args (@t36)) % 3.11/3.32 (step @p28 :rule instantiate :premises (@p5) :args (@t32)) % 3.11/3.32 (step @p29 :rule instantiate :premises (@p5) :args (@t37)) % 3.11/3.32 (step @p30 :rule instantiate :premises (@p6) :args (@t32)) % 3.11/3.32 (step @p31 :rule instantiate :premises (@p6) :args ((@list tptp.b @t28))) % 3.11/3.32 (step @p32 :rule instantiate :premises (@p6) :args (@t33)) % 3.11/3.32 (step @p33 :rule instantiate :premises (@p6) :args (@t34)) % 3.11/3.32 (step @p34 :rule instantiate :premises (@p9) :args ((@list @t23 tptp.b tptp.c @t21))) % 3.11/3.32 (step @p35 :rule instantiate :premises (@p13) :args ((@list tptp.a @t28))) % 3.11/3.32 (step @p36 :rule instantiate :premises (@p13) :args (@t38)) % 3.11/3.32 (step @p37 :rule instantiate :premises (@p13) :args ((@list tptp.c @t25))) % 3.11/3.32 (step @p38 :rule instantiate :premises (@p13) :args ((@list @t28 tptp.b))) % 3.11/3.32 (step @p39 :rule instantiate :premises (@p13) :args ((@list @t21 @t23))) % 3.11/3.32 (step @p40 :rule instantiate :premises (@p19) :args ((@list tptp.c tptp.a))) % 3.11/3.32 (step @p41 :rule instantiate :premises (@p19) :args (@t38)) % 3.11/3.32 (step @p42 :rule instantiate :premises (@p19) :args ((@list @t29 tptp.a))) % 3.11/3.32 (step @p43 :rule instantiate :premises (@p19) :args (@t39)) % 3.11/3.32 (step @p44 :rule instantiate :premises (@p19) :args ((@list @t23 @t24))) % 3.11/3.32 (step @p45 :rule instantiate :premises (@p19) :args ((@list @t23 @t26))) % 3.11/3.32 (step @p46 :rule instantiate :premises (@p19) :args ((@list @t24 tptp.c))) % 3.11/3.32 (step @p47 :rule instantiate :premises (@p19) :args ((@list @t26 tptp.a))) % 3.11/3.32 (step @p48 :rule instantiate :premises (@p5) :args ((@list tptp.b @t22))) % 3.11/3.32 (step @p49 :rule instantiate :premises (@p5) :args ((@list tptp.b @t26))) % 3.11/3.32 (step @p50 :rule instantiate :premises (@p5) :args (@t39)) % 3.11/3.32 (step @p51 :rule instantiate :premises (@p5) :args ((@list @t23 @t44))) % 3.11/3.32 (step @p52 :rule instantiate :premises (@p6) :args ((@list @t42 @t41))) % 3.11/3.32 (step @p53 :rule instantiate :premises (@p7) :args ((@list tptp.a @t22 @t24))) % 3.11/3.32 (step @p54 :rule instantiate :premises (@p7) :args ((@list tptp.a @t22 tptp.c))) % 3.11/3.32 (step @p55 :rule instantiate :premises (@p7) :args ((@list tptp.a @t22 @t26))) % 3.11/3.32 (step @p56 :rule instantiate :premises (@p8) :args ((@list tptp.b @t21 @t28))) % 3.11/3.32 (step @p57 :rule instantiate :premises (@p8) :args ((@list tptp.a @t27 @t28))) % 3.11/3.32 (step @p58 :rule instantiate :premises (@p8) :args ((@list tptp.a @t27 @t23))) % 3.11/3.32 (step @p59 :rule instantiate :premises (@p8) :args ((@list tptp.a @t27 @t27))) % 3.11/3.32 (step @p60 :rule instantiate :premises (@p8) :args ((@list tptp.b @t21 @t21))) % 3.11/3.32 (step @p61 :rule instantiate :premises (@p8) :args ((@list tptp.c @t25 @t25))) % 3.11/3.32 (step @p62 :rule instantiate :premises (@p8) :args ((@list tptp.c @t25 tptp.b))) % 3.11/3.32 (step @p63 :rule instantiate :premises (@p8) :args ((@list @t25 tptp.b @t21))) % 3.11/3.32 (step @p64 :rule instantiate :premises (@p9) :args ((@list tptp.b @t25 tptp.b @t25))) % 3.11/3.32 (step @p65 :rule eq-symm :args (@t2 @t1)) % 3.11/3.32 (step @p66 :rule cong :premises (@p65) :args (@t4)) % 3.11/3.32 (step @p67 :rule eq_resolve :premises (@p1 @p66)) % 3.11/3.32 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t26))) % 3.11/3.32 (step @p69 :rule eq-symm :args (@t5 @t1)) % 3.11/3.32 (step @p70 :rule cong :premises (@p69) :args (@t6)) % 3.11/3.32 (step @p71 :rule eq_resolve :premises (@p2 @p70)) % 3.11/3.32 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t25))) % 3.11/3.32 (step @p73 :rule instantiate :premises (@p71) :args ((@list @t27))) % 3.11/3.32 (step @p74 :rule instantiate :premises (@p71) :args ((@list @t21))) % 3.11/3.32 (step @p75 :rule instantiate :premises (@p13) :args ((@list tptp.b @t23))) % 3.11/3.32 (step @p76 :rule instantiate :premises (@p13) :args (@t45)) % 3.11/3.32 (step @p77 :rule instantiate :premises (@p13) :args ((@list @t29 @t46))) % 3.11/3.32 (step @p78 :rule instantiate :premises (@p13) :args ((@list @t23 @t47))) % 3.11/3.32 (step @p79 :rule instantiate :premises (@p13) :args ((@list @t24 @t48))) % 3.11/3.32 (step @p80 :rule instantiate :premises (@p13) :args ((@list @t27 @t28))) % 3.11/3.32 (step @p81 :rule instantiate :premises (@p13) :args ((@list @t21 tptp.c))) % 3.11/3.32 (step @p82 :rule instantiate :premises (@p19) :args (@t50)) % 3.11/3.32 (step @p83 :rule instantiate :premises (@p19) :args (@t52)) % 3.11/3.32 (step @p84 :rule instantiate :premises (@p19) :args ((@list @t22 tptp.b))) % 3.11/3.32 (step @p85 :rule instantiate :premises (@p19) :args ((@list @t44 @t23))) % 3.11/3.32 (step @p86 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.a))) % 3.11/3.32 (step @p87 :rule instantiate :premises (@p5) :args (@t50)) % 3.11/3.32 (step @p88 :rule instantiate :premises (@p5) :args ((@list tptp.c @t53))) % 3.11/3.32 (step @p89 :rule instantiate :premises (@p5) :args (@t52)) % 3.11/3.32 (step @p90 :rule eq-symm :args (@t54 @t55)) % 3.11/3.32 (step @p91 :rule refl :args (@t15)) % 3.11/3.32 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t15 @t56))) % 3.11/3.32 (assume-push @p1168 @t15) % 3.11/3.32 (step @p94 :rule instantiate :premises (@p5) :args (@t57)) % 3.11/3.32 (step-pop @p1169 :rule scope :premises (@p94)) % 3.11/3.32 (step @p95 :rule process_scope :premises (@p1169) :args (@t56)) % 3.11/3.32 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 3.11/3.32 (step @p98 :rule implies_elim :premises (@p97)) % 3.11/3.32 (step @p99 :rule chain_m_resolution :premises (@p98 @p5) :args (@t58 @t59 (@list @t15))) % 3.11/3.32 (step @p100 :rule instantiate :premises (@p5) :args ((@list @t21 @t60))) % 3.11/3.32 (step @p101 :rule instantiate :premises (@p6) :args ((@list tptp.a @t61))) % 3.11/3.32 (step @p102 :rule instantiate :premises (@p6) :args (@t64)) % 3.11/3.32 (step @p103 :rule instantiate :premises (@p6) :args ((@list tptp.c @t62))) % 3.11/3.32 (step @p104 :rule instantiate :premises (@p6) :args ((@list tptp.c @t65))) % 3.11/3.32 (step @p105 :rule instantiate :premises (@p6) :args ((@list tptp.c @t66))) % 3.11/3.32 (step @p106 :rule instantiate :premises (@p6) :args (@t45)) % 3.11/3.32 (step @p107 :rule instantiate :premises (@p6) :args ((@list @t62 @t27))) % 3.11/3.32 (step @p108 :rule instantiate :premises (@p6) :args ((@list @t23 @t42))) % 3.11/3.32 (step @p109 :rule instantiate :premises (@p6) :args ((@list @t26 @t67))) % 3.11/3.32 (step @p110 :rule instantiate :premises (@p6) :args ((@list @t27 @t30))) % 3.11/3.32 (step @p111 :rule instantiate :premises (@p6) :args ((@list @t27 @t23))) % 3.11/3.32 (step @p112 :rule instantiate :premises (@p6) :args ((@list @t21 @t25))) % 3.11/3.32 (step @p113 :rule instantiate :premises (@p6) :args ((@list @t70 @t69))) % 3.11/3.32 (step @p114 :rule instantiate :premises (@p7) :args ((@list tptp.c @t71 @t24))) % 3.11/3.32 (step @p115 :rule instantiate :premises (@p7) :args ((@list tptp.a @t72 tptp.c))) % 3.11/3.32 (step @p116 :rule eq-symm :args (@t74 @t75)) % 3.11/3.32 (step @p117 :rule refl :args (@t18)) % 3.11/3.32 (step @p118 :rule cong :premises (@p117 @p116) :args ((=> @t18 @t76))) % 3.11/3.32 (assume-push @p1170 @t18) % 3.11/3.32 (step @p120 :rule instantiate :premises (@p7) :args ((@list @t44 tptp.a @t22))) % 3.11/3.32 (step-pop @p1171 :rule scope :premises (@p120)) % 3.11/3.32 (step @p121 :rule process_scope :premises (@p1171) :args (@t76)) % 3.11/3.32 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 3.11/3.32 (step @p124 :rule implies_elim :premises (@p123)) % 3.11/3.32 (step @p125 :rule chain_m_resolution :premises (@p124 @p7) :args (@t77 @t59 @t78)) % 3.11/3.32 (step @p126 :rule instantiate :premises (@p8) :args ((@list tptp.c @t49 @t62))) % 3.11/3.32 (step @p127 :rule instantiate :premises (@p8) :args ((@list tptp.c @t49 @t66))) % 3.11/3.32 (step @p128 :rule instantiate :premises (@p8) :args ((@list tptp.b @t28 @t46))) % 3.11/3.32 (step @p129 :rule instantiate :premises (@p8) :args ((@list @t23 @t79 @t79))) % 3.11/3.32 (step @p130 :rule instantiate :premises (@p8) :args ((@list @t23 @t21 @t48))) % 3.11/3.32 (step @p131 :rule instantiate :premises (@p8) :args ((@list tptp.a @t81 @t80))) % 3.11/3.32 (step @p132 :rule instantiate :premises (@p8) :args ((@list tptp.b @t83 @t82))) % 3.11/3.32 (step @p133 :rule instantiate :premises (@p8) :args ((@list @t27 @t23 @t79))) % 3.11/3.32 (step @p134 :rule eq-symm :args (@t84 @t85)) % 3.11/3.32 (step @p135 :rule refl :args (@t19)) % 3.11/3.32 (step @p136 :rule cong :premises (@p135 @p134) :args ((=> @t19 @t86))) % 3.11/3.32 (assume-push @p1172 @t19) % 3.11/3.32 (step @p138 :rule instantiate :premises (@p8) :args (@t87)) % 3.11/3.32 (step-pop @p1173 :rule scope :premises (@p138)) % 3.11/3.32 (step @p139 :rule process_scope :premises (@p1173) :args (@t86)) % 3.11/3.32 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 3.11/3.32 (step @p142 :rule implies_elim :premises (@p141)) % 3.11/3.32 (step @p143 :rule chain_m_resolution :premises (@p142 @p8) :args (@t88 @t59 @t89)) % 3.11/3.32 (step @p144 :rule instantiate :premises (@p9) :args ((@list tptp.b tptp.b tptp.a tptp.c))) % 3.11/3.32 (step @p145 :rule instantiate :premises (@p9) :args ((@list tptp.b @t62 tptp.a @t25))) % 3.11/3.32 (step @p146 :rule instantiate :premises (@p9) :args ((@list @t26 tptp.c tptp.b @t49))) % 3.11/3.32 (step @p147 :rule instantiate :premises (@p9) :args ((@list tptp.c tptp.b @t53 @t83))) % 3.11/3.32 (step @p148 :rule instantiate :premises (@p9) :args ((@list @t21 tptp.c @t60 @t49))) % 3.11/3.32 (step @p149 :rule instantiate :premises (@p9) :args ((@list @t26 tptp.b tptp.a @t28))) % 3.11/3.32 (step @p150 :rule instantiate :premises (@p9) :args ((@list @t26 @t25 tptp.b @t25))) % 3.11/3.32 (step @p151 :rule instantiate :premises (@p13) :args ((@list @t65 tptp.c))) % 3.11/3.32 (step @p152 :rule instantiate :premises (@p13) :args ((@list @t26 @t28))) % 3.11/3.32 (step @p153 :rule instantiate :premises (@p13) :args ((@list @t61 tptp.a))) % 3.11/3.32 (step @p154 :rule instantiate :premises (@p13) :args (@t90)) % 3.11/3.32 (step @p155 :rule instantiate :premises (@p19) :args (@t91)) % 3.11/3.32 (step @p156 :rule instantiate :premises (@p19) :args ((@list @t73 @t22))) % 3.11/3.32 (step @p157 :rule instantiate :premises (@p19) :args ((@list @t60 @t21))) % 3.11/3.32 (step @p158 :rule instantiate :premises (@p19) :args ((@list @t49 tptp.b))) % 3.11/3.32 (step @p159 :rule instantiate :premises (@p5) :args (@t91)) % 3.11/3.32 (step @p160 :rule instantiate :premises (@p5) :args ((@list tptp.a @t92))) % 3.11/3.32 (step @p161 :rule instantiate :premises (@p5) :args ((@list tptp.a @t93))) % 3.11/3.32 (step @p162 :rule instantiate :premises (@p5) :args ((@list tptp.b @t94))) % 3.11/3.32 (step @p163 :rule instantiate :premises (@p5) :args (@t64)) % 3.11/3.32 (step @p164 :rule instantiate :premises (@p5) :args ((@list tptp.c @t95))) % 3.11/3.32 (step @p165 :rule instantiate :premises (@p5) :args ((@list @t26 @t97))) % 3.11/3.32 (step @p166 :rule instantiate :premises (@p5) :args ((@list @t72 tptp.c))) % 3.11/3.32 (step @p167 :rule instantiate :premises (@p6) :args ((@list tptp.b @t100))) % 3.11/3.32 (step @p168 :rule instantiate :premises (@p6) :args ((@list tptp.b @t81))) % 3.11/3.32 (step @p169 :rule instantiate :premises (@p6) :args ((@list tptp.c @t101))) % 3.11/3.32 (step @p170 :rule instantiate :premises (@p6) :args ((@list @t28 @t46))) % 3.11/3.32 (step @p171 :rule instantiate :premises (@p6) :args ((@list @t65 @t104))) % 3.11/3.32 (step @p172 :rule instantiate :premises (@p6) :args ((@list @t70 @t105))) % 3.11/3.32 (step @p173 :rule instantiate :premises (@p7) :args ((@list tptp.c @t106 @t24))) % 3.11/3.32 (step @p174 :rule instantiate :premises (@p7) :args ((@list @t24 @t107 tptp.c))) % 3.11/3.32 (step @p175 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.c @t108))) % 3.11/3.32 (step @p176 :rule instantiate :premises (@p7) :args ((@list tptp.a @t26 @t61))) % 3.11/3.32 (step @p177 :rule instantiate :premises (@p7) :args ((@list tptp.a @t22 tptp.b))) % 3.11/3.32 (step @p178 :rule instantiate :premises (@p7) :args ((@list @t23 @t29 @t109))) % 3.11/3.32 (step @p179 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.c @t24))) % 3.11/3.32 (step @p180 :rule eq-symm :args (@t111 @t112)) % 3.11/3.32 (step @p181 :rule cong :premises (@p117 @p180) :args ((=> @t18 @t113))) % 3.11/3.32 (assume-push @p1174 @t18) % 3.11/3.32 (step @p183 :rule instantiate :premises (@p7) :args (@t114)) % 3.11/3.32 (step-pop @p1175 :rule scope :premises (@p183)) % 3.11/3.32 (step @p184 :rule process_scope :premises (@p1175) :args (@t113)) % 3.11/3.32 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 3.11/3.32 (step @p187 :rule implies_elim :premises (@p186)) % 3.11/3.32 (step @p188 :rule chain_m_resolution :premises (@p187 @p7) :args (@t115 @t59 @t78)) % 3.11/3.32 (step @p189 :rule instantiate :premises (@p8) :args ((@list tptp.a @t116 @t25))) % 3.11/3.32 (step @p190 :rule instantiate :premises (@p8) :args ((@list @t25 @t25 @t28))) % 3.11/3.32 (step @p191 :rule instantiate :premises (@p8) :args ((@list @t28 @t117 @t70))) % 3.11/3.32 (step @p192 :rule instantiate :premises (@p8) :args ((@list tptp.a @t116 @t21))) % 3.11/3.32 (step @p193 :rule instantiate :premises (@p8) :args ((@list tptp.b @t25 @t28))) % 3.11/3.32 (step @p194 :rule instantiate :premises (@p8) :args ((@list tptp.b @t25 @t104))) % 3.11/3.32 (step @p195 :rule instantiate :premises (@p8) :args ((@list @t27 @t28 @t117))) % 3.11/3.32 (step @p196 :rule instantiate :premises (@p8) :args ((@list @t70 @t28 @t117))) % 3.11/3.32 (step @p197 :rule eq-symm :args (@t119 @t120)) % 3.11/3.32 (step @p198 :rule cong :premises (@p135 @p197) :args ((=> @t19 @t121))) % 3.11/3.32 (assume-push @p1176 @t19) % 3.11/3.32 (step @p200 :rule instantiate :premises (@p8) :args (@t122)) % 3.11/3.32 (step-pop @p1177 :rule scope :premises (@p200)) % 3.11/3.32 (step @p201 :rule process_scope :premises (@p1177) :args (@t121)) % 3.11/3.32 (step @p203 :rule eq_resolve :premises (@p201 @p198)) % 3.11/3.32 (step @p204 :rule implies_elim :premises (@p203)) % 3.11/3.32 (step @p205 :rule chain_m_resolution :premises (@p204 @p8) :args (@t123 @t59 @t89)) % 3.11/3.32 (step @p206 :rule eq-symm :args (@t126 @t127)) % 3.11/3.32 (step @p207 :rule cong :premises (@p135 @p206) :args ((=> @t19 @t128))) % 3.11/3.32 (assume-push @p1178 @t19) % 3.11/3.32 (step @p209 :rule instantiate 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@t376) (not @t378) (not @t380) (not @t382) (not @t384) (not @t115) (not @t387) (not @t389) (not @t391) (not @t393) (not @t394) (not @t397) (not @t400) (not @t403) (not @t123) (not @t130) (not @t407) (not @t136) (not @t410) (not @t416) (not @t422) (not @t427) (not @t429) (not @t430) (not @t432) (not @t434) (not @t436) (not @t437) (not @t438) (not @t440)))) % 3.11/3.33 (step @p1167 false :rule chain_m_resolution :premises (@p1166 @p236 @p235 @p234 @p233 @p232 @p231 @p230 @p229 @p228 @p227 @p226 @p225 @p224 @p215 @p214 @p205 @p196 @p195 @p194 @p193 @p192 @p191 @p190 @p189 @p188 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p68 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p16 @p15 @p14 @p10) :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 false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t440 @t438 @t437 @t436 @t434 @t432 @t430 @t429 @t427 @t422 @t416 @t410 @t136 @t407 @t130 @t123 @t403 @t400 @t397 @t394 @t393 @t391 @t389 @t387 @t115 @t384 @t382 @t380 @t378 @t376 @t373 @t371 @t369 @t366 @t363 @t362 @t360 @t359 @t358 @t356 @t355 @t353 @t351 @t349 @t347 @t344 @t343 @t342 @t341 @t340 @t338 @t337 @t336 @t335 @t334 @t329 @t324 @t316 @t310 @t304 @t302 @t88 @t300 @t297 @t294 @t291 @t289 @t286 @t284 @t281 @t77 @t279 @t276 @t274 @t271 @t268 @t267 @t265 @t264 @t262 @t260 @t258 @t256 @t254 @t253 @t251 @t249 @t58 @t247 @t246 @t244 @t242 @t240 @t238 @t236 @t234 @t233 @t232 @t230 @t228 @t227 @t225 @t223 @t221 @t220 @t219 @t218 @t217 @t213 @t211 @t209 @t206 @t204 @t201 @t199 @t197 @t194 @t192 @t190 @t188 @t187 @t186 @t185 @t183 @t181 @t179 @t178 @t176 @t174 @t172 @t171 @t169 @t167 @t165 @t164 @t162 @t161 @t159 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t143 @t141 @t140 @t138 @t31))) % 3.11/3.33 ) % 3.11/3.33 % SZS output end Proof % 3.11/3.33 % cvc5 exiting %------------------------------------------------------------------------------