%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT162-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:29:51 AM UTC 2026 % Result : Unsatisfiable 30.41s 30.60s % Output : Proof 30.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT162-1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:54:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.99/16.29 --- Run --no-e-matching --full-saturate-quant at 6... % 22.09/22.32 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.09/28.34 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 30.41/30.60 % SZS status Unsatisfiable % 30.41/30.60 % SZS output start Proof % 30.41/30.61 ( % 30.41/30.61 (declare-sort $$unsorted 0) % 30.41/30.61 (declare-const tptp.d $$unsorted) % 30.41/30.61 (declare-const tptp.b $$unsorted) % 30.41/30.61 (declare-const tptp.c $$unsorted) % 30.41/30.61 (declare-const tptp.a $$unsorted) % 30.41/30.61 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 30.41/30.61 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 30.41/30.61 (define @t1 () (@var "X" $$unsorted)) % 30.41/30.61 (define @t2 () (tptp.meet @t1 @t1)) % 30.41/30.61 (define @t3 () (@list @t1)) % 30.41/30.61 (define @t4 () (forall @t3 (= @t2 @t1))) % 30.41/30.61 (define @t5 () (@var "Y" $$unsorted)) % 30.41/30.61 (define @t6 () (tptp.join @t1 @t5)) % 30.41/30.61 (define @t7 () (tptp.meet @t1 @t6)) % 30.41/30.61 (define @t8 () (@list @t1 @t5)) % 30.41/30.61 (define @t9 () (forall @t8 (= @t7 @t1))) % 30.41/30.61 (define @t10 () (tptp.meet @t1 @t5)) % 30.41/30.61 (define @t11 () (tptp.join @t1 @t10)) % 30.41/30.61 (define @t12 () (forall @t8 (= @t11 @t1))) % 30.41/30.61 (define @t13 () (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 30.41/30.61 (define @t14 () (@var "Z" $$unsorted)) % 30.41/30.61 (define @t15 () (@list @t1 @t5 @t14)) % 30.41/30.61 (define @t16 () (forall @t15 (= (tptp.meet @t10 @t14) (tptp.meet @t1 (tptp.meet @t5 @t14))))) % 30.41/30.61 (define @t17 () (tptp.join @t5 @t14)) % 30.41/30.61 (define @t18 () (tptp.meet tptp.b tptp.c)) % 30.41/30.61 (define @t19 () (tptp.join tptp.d @t18)) % 30.41/30.61 (define @t20 () (tptp.meet tptp.a @t19)) % 30.41/30.61 (define @t21 () (tptp.join tptp.c @t20)) % 30.41/30.61 (define @t22 () (tptp.meet tptp.b @t21)) % 30.41/30.61 (define @t23 () (tptp.join tptp.c tptp.d)) % 30.41/30.61 (define @t24 () (tptp.meet tptp.b @t23)) % 30.41/30.61 (define @t25 () (tptp.meet tptp.a @t24)) % 30.41/30.61 (define @t26 () (= @t25 (tptp.meet tptp.a @t22))) % 30.41/30.61 (define @t27 () (tptp.meet tptp.b @t19)) % 30.41/30.61 (define @t28 () (tptp.join tptp.c @t27)) % 30.41/30.61 (define @t29 () (tptp.join tptp.b @t20)) % 30.41/30.61 (define @t30 () (tptp.meet tptp.c tptp.b)) % 30.41/30.61 (define @t31 () (tptp.join @t18 tptp.d)) % 30.41/30.61 (define @t32 () (tptp.meet @t29 @t28)) % 30.41/30.61 (define @t33 () (@list tptp.c @t19)) % 30.41/30.61 (define @t34 () (tptp.meet tptp.a tptp.b)) % 30.41/30.61 (define @t35 () (tptp.meet @t34 @t23)) % 30.41/30.61 (define @t36 () (= @t35 @t25)) % 30.41/30.61 (define @t37 () (@list tptp.a tptp.b @t23)) % 30.41/30.61 (define @t38 () (= @t25 @t35)) % 30.41/30.61 (define @t39 () (@list false)) % 30.41/30.61 (define @t40 () (@list @t16)) % 30.41/30.61 (define @t41 () (tptp.meet tptp.b tptp.a)) % 30.41/30.61 (define @t42 () (tptp.meet @t20 @t41)) % 30.41/30.61 (define @t43 () (tptp.meet @t19 @t41)) % 30.41/30.61 (define @t44 () (tptp.meet tptp.a @t43)) % 30.41/30.61 (define @t45 () (= @t42 @t44)) % 30.41/30.61 (define @t46 () (= @t44 @t42)) % 30.41/30.61 (define @t47 () (tptp.meet @t19 tptp.c)) % 30.41/30.61 (define @t48 () (tptp.meet @t24 @t19)) % 30.41/30.61 (define @t49 () (tptp.meet tptp.a tptp.c)) % 30.41/30.61 (define @t50 () (tptp.meet @t30 @t19)) % 30.41/30.61 (define @t51 () (tptp.join tptp.c @t50)) % 30.41/30.61 (define @t52 () (tptp.meet @t30 @t51)) % 30.41/30.61 (define @t53 () (tptp.join @t19 tptp.c)) % 30.41/30.61 (define @t54 () (tptp.meet tptp.c @t41)) % 30.41/30.61 (define @t55 () (tptp.join @t20 tptp.d)) % 30.41/30.61 (define @t56 () (tptp.meet @t23 tptp.a)) % 30.41/30.61 (define @t57 () (tptp.join @t21 tptp.d)) % 30.41/30.61 (define @t58 () (tptp.meet @t24 tptp.c)) % 30.41/30.61 (define @t59 () (tptp.join tptp.d @t58)) % 30.41/30.61 (define @t60 () (tptp.meet tptp.c @t27)) % 30.41/30.61 (define @t61 () (tptp.meet @t27 tptp.c)) % 30.41/30.61 (define @t62 () (= @t60 @t61)) % 30.41/30.61 (define @t63 () (@list tptp.c @t27)) % 30.41/30.61 (define @t64 () (= @t61 @t60)) % 30.41/30.61 (define @t65 () (tptp.meet tptp.c tptp.a)) % 30.41/30.61 (define @t66 () (tptp.meet @t65 tptp.b)) % 30.41/30.61 (define @t67 () (tptp.join @t20 @t66)) % 30.41/30.61 (define @t68 () (tptp.meet tptp.b tptp.b)) % 30.41/30.61 (define @t69 () (= tptp.b @t68)) % 30.41/30.61 (define @t70 () (tptp.meet tptp.b @t29)) % 30.41/30.61 (define @t71 () (= tptp.b @t70)) % 30.41/30.61 (define @t72 () (= @t19 @t31)) % 30.41/30.61 (define @t73 () (tptp.meet tptp.b @t28)) % 30.41/30.61 (define @t74 () (= @t24 @t73)) % 30.41/30.61 (define @t75 () (tptp.meet tptp.a tptp.a)) % 30.41/30.61 (define @t76 () (= tptp.a @t75)) % 30.41/30.61 (define @t77 () (= @t18 @t30)) % 30.41/30.61 (define @t78 () (tptp.meet @t24 tptp.a)) % 30.41/30.61 (define @t79 () (= @t25 @t78)) % 30.41/30.61 (define @t80 () (tptp.meet tptp.c @t23)) % 30.41/30.61 (define @t81 () (= tptp.c @t80)) % 30.41/30.61 (define @t82 () (tptp.meet tptp.a @t47)) % 30.41/30.61 (define @t83 () (tptp.meet @t20 tptp.c)) % 30.41/30.61 (define @t84 () (= @t83 @t82)) % 30.41/30.61 (define @t85 () (tptp.meet @t30 tptp.a)) % 30.41/30.61 (define @t86 () (= @t85 @t54)) % 30.41/30.61 (define @t87 () (tptp.meet @t19 tptp.a)) % 30.41/30.61 (define @t88 () (= @t20 @t87)) % 30.41/30.61 (define @t89 () (= @t65 @t49)) % 30.41/30.61 (define @t90 () (tptp.join tptp.d @t20)) % 30.41/30.61 (define @t91 () (tptp.join @t18 @t90)) % 30.41/30.61 (define @t92 () (= (tptp.join @t31 @t20) @t91)) % 30.41/30.61 (define @t93 () (tptp.join tptp.d (tptp.meet tptp.d tptp.b))) % 30.41/30.61 (define @t94 () (= tptp.d @t93)) % 30.41/30.61 (define @t95 () (tptp.meet tptp.b @t32)) % 30.41/30.61 (define @t96 () (tptp.meet @t70 @t28)) % 30.41/30.61 (define @t97 () (= @t96 @t95)) % 30.41/30.61 (define @t98 () (tptp.meet @t68 @t28)) % 30.41/30.61 (define @t99 () (= @t98 (tptp.meet tptp.b @t73))) % 30.41/30.61 (define @t100 () (= tptp.c (tptp.join tptp.c @t30))) % 30.41/30.61 (define @t101 () (tptp.meet @t19 @t53)) % 30.41/30.61 (define @t102 () (= @t19 @t101)) % 30.41/30.61 (define @t103 () (tptp.meet tptp.a @t30)) % 30.41/30.61 (define @t104 () (= @t85 @t103)) % 30.41/30.61 (define @t105 () (tptp.join tptp.c @t31)) % 30.41/30.61 (define @t106 () (tptp.join tptp.c @t18)) % 30.41/30.61 (define @t107 () (= (tptp.join @t106 tptp.d) @t105)) % 30.41/30.61 (define @t108 () (= @t24 (tptp.join @t24 @t78))) % 30.41/30.61 (define @t109 () (tptp.meet @t31 tptp.a)) % 30.41/30.61 (define @t110 () (tptp.join @t31 @t109)) % 30.41/30.61 (define @t111 () (= @t31 @t110)) % 30.41/30.61 (define @t112 () (= @t90 @t55)) % 30.41/30.61 (define @t113 () (= @t57 (tptp.join tptp.c @t55))) % 30.41/30.61 (define @t114 () (tptp.meet @t21 @t32)) % 30.41/30.61 (define @t115 () (tptp.meet @t22 @t32)) % 30.41/30.61 (define @t116 () (= @t115 (tptp.meet tptp.b @t114))) % 30.41/30.61 (define @t117 () (tptp.meet @t19 @t49)) % 30.41/30.61 (define @t118 () (= (tptp.meet @t87 tptp.c) @t117)) % 30.41/30.61 (define @t119 () (tptp.meet @t20 @t18)) % 30.41/30.61 (define @t120 () (tptp.join @t20 @t119)) % 30.41/30.61 (define @t121 () (= @t20 @t120)) % 30.41/30.61 (define @t122 () (tptp.meet @t21 tptp.b)) % 30.41/30.61 (define @t123 () (= @t22 @t122)) % 30.41/30.61 (define @t124 () (tptp.meet tptp.c @t19)) % 30.41/30.61 (define @t125 () (= @t124 @t47)) % 30.41/30.61 (define @t126 () (tptp.meet @t19 tptp.b)) % 30.41/30.61 (define @t127 () (= @t27 @t126)) % 30.41/30.61 (define @t128 () (tptp.join tptp.c @t19)) % 30.41/30.61 (define @t129 () (= @t128 @t53)) % 30.41/30.61 (define @t130 () (tptp.meet @t32 @t21)) % 30.41/30.61 (define @t131 () (= @t114 @t130)) % 30.41/30.61 (define @t132 () (tptp.meet @t23 @t34)) % 30.41/30.61 (define @t133 () (tptp.meet @t56 tptp.b)) % 30.41/30.61 (define @t134 () (= @t133 @t132)) % 30.41/30.61 (define @t135 () (tptp.meet @t23 tptp.c)) % 30.41/30.61 (define @t136 () (tptp.meet tptp.b @t135)) % 30.41/30.61 (define @t137 () (= @t58 @t136)) % 30.41/30.61 (define @t138 () (tptp.meet tptp.c @t25)) % 30.41/30.61 (define @t139 () (= (tptp.meet @t65 @t24) @t138)) % 30.41/30.61 (define @t140 () (tptp.meet tptp.c @t56)) % 30.41/30.61 (define @t141 () (= (tptp.meet @t80 tptp.a) @t140)) % 30.41/30.61 (define @t142 () (tptp.meet tptp.a @t23)) % 30.41/30.61 (define @t143 () (= @t56 @t142)) % 30.41/30.61 (define @t144 () (tptp.meet @t23 tptp.b)) % 30.41/30.61 (define @t145 () (= @t24 @t144)) % 30.41/30.61 (define @t146 () (tptp.join @t24 @t25)) % 30.41/30.61 (define @t147 () (= @t146 (tptp.join @t25 @t24))) % 30.41/30.61 (define @t148 () (= @t41 @t34)) % 30.41/30.61 (define @t149 () (tptp.meet tptp.b @t80)) % 30.41/30.61 (define @t150 () (= (tptp.meet @t18 @t23) @t149)) % 30.41/30.61 (define @t151 () (tptp.meet @t24 @t21)) % 30.41/30.61 (define @t152 () (tptp.meet tptp.a @t151)) % 30.41/30.61 (define @t153 () (= (tptp.meet @t25 @t21) @t152)) % 30.41/30.61 (define @t154 () (tptp.meet @t21 @t57)) % 30.41/30.61 (define @t155 () (= @t21 @t154)) % 30.41/30.61 (define @t156 () (tptp.meet tptp.a @t48)) % 30.41/30.61 (define @t157 () (tptp.meet @t25 @t19)) % 30.41/30.61 (define @t158 () (= @t157 @t156)) % 30.41/30.61 (define @t159 () (tptp.join @t19 @t52)) % 30.41/30.61 (define @t160 () (tptp.meet @t30 @t53)) % 30.41/30.61 (define @t161 () (= @t160 (tptp.meet @t30 @t159))) % 30.41/30.61 (define @t162 () (= @t50 @t60)) % 30.41/30.61 (define @t163 () (= @t80 @t135)) % 30.41/30.61 (define @t164 () (tptp.meet @t34 tptp.c)) % 30.41/30.61 (define @t165 () (tptp.join @t19 @t164)) % 30.41/30.61 (define @t166 () (tptp.meet @t34 @t165)) % 30.41/30.61 (define @t167 () (tptp.join tptp.c @t166)) % 30.41/30.61 (define @t168 () (tptp.meet @t34 @t167)) % 30.41/30.61 (define @t169 () (= (tptp.meet @t34 @t128) @t168)) % 30.41/30.61 (define @t170 () (tptp.meet @t142 tptp.b)) % 30.41/30.61 (define @t171 () (= @t170 (tptp.meet tptp.a @t144))) % 30.41/30.61 (define @t172 () (= @t164 (tptp.meet tptp.a @t18))) % 30.41/30.61 (define @t173 () (= @t43 (tptp.meet @t41 @t19))) % 30.41/30.61 (define @t174 () (tptp.meet @t23 @t19)) % 30.41/30.61 (define @t175 () (tptp.meet @t34 @t174)) % 30.41/30.61 (define @t176 () (= (tptp.meet @t35 @t19) @t175)) % 30.41/30.61 (define @t177 () (tptp.meet @t47 @t24)) % 30.41/30.61 (define @t178 () (tptp.meet @t82 @t24)) % 30.41/30.61 (define @t179 () (= @t178 (tptp.meet tptp.a @t177))) % 30.41/30.61 (define @t180 () (tptp.meet tptp.a @t156)) % 30.41/30.61 (define @t181 () (= (tptp.meet @t75 @t48) @t180)) % 30.41/30.61 (define @t182 () (tptp.meet @t49 @t24)) % 30.41/30.61 (define @t183 () (tptp.meet @t19 @t182)) % 30.41/30.61 (define @t184 () (= (tptp.meet @t117 @t24) @t183)) % 30.41/30.61 (define @t185 () (= @t159 (tptp.join tptp.d (tptp.join @t18 @t52)))) % 30.41/30.61 (define @t186 () (= @t101 (tptp.meet @t53 @t19))) % 30.41/30.61 (define @t187 () (= @t19 (tptp.join @t19 (tptp.meet @t19 @t54)))) % 30.41/30.61 (define @t188 () (tptp.join @t106 @t55)) % 30.41/30.61 (define @t189 () (= @t188 (tptp.join tptp.c (tptp.join @t18 @t55)))) % 30.41/30.61 (define @t190 () (tptp.meet @t80 @t41)) % 30.41/30.61 (define @t191 () (= @t190 (tptp.meet tptp.c (tptp.meet @t23 @t41)))) % 30.41/30.61 (define @t192 () (tptp.meet tptp.c @t133)) % 30.41/30.61 (define @t193 () (= (tptp.meet @t140 tptp.b) @t192)) % 30.41/30.61 (define @t194 () (tptp.meet tptp.b @t130)) % 30.41/30.61 (define @t195 () (= (tptp.meet @t95 @t21) @t194)) % 30.41/30.61 (define @t196 () (tptp.meet @t154 tptp.b)) % 30.41/30.61 (define @t197 () (= @t196 (tptp.meet @t21 (tptp.meet @t57 tptp.b)))) % 30.41/30.61 (define @t198 () (tptp.meet @t21 @t95)) % 30.41/30.61 (define @t199 () (= (tptp.meet @t122 @t32) @t198)) % 30.41/30.61 (define @t200 () (tptp.meet @t23 @t59)) % 30.41/30.61 (define @t201 () (tptp.meet tptp.b @t200)) % 30.41/30.61 (define @t202 () (tptp.meet @t24 @t59)) % 30.41/30.61 (define @t203 () (= @t202 @t201)) % 30.41/30.61 (define @t204 () (tptp.meet @t59 tptp.c)) % 30.41/30.61 (define @t205 () (tptp.meet @t24 @t204)) % 30.41/30.61 (define @t206 () (tptp.meet @t202 tptp.c)) % 30.41/30.61 (define @t207 () (= @t206 @t205)) % 30.41/30.61 (define @t208 () (tptp.meet @t57 @t21)) % 30.41/30.61 (define @t209 () (= @t154 @t208)) % 30.41/30.61 (define @t210 () (= @t177 (tptp.meet @t24 @t47))) % 30.41/30.61 (define @t211 () (tptp.meet @t19 @t18)) % 30.41/30.61 (define @t212 () (tptp.meet @t126 tptp.c)) % 30.41/30.61 (define @t213 () (= @t212 @t211)) % 30.41/30.61 (define @t214 () (tptp.meet @t41 @t67)) % 30.41/30.61 (define @t215 () (= (tptp.meet @t67 @t41) @t214)) % 30.41/30.61 (define @t216 () (tptp.meet @t18 @t51)) % 30.41/30.61 (define @t217 () (tptp.join @t18 @t216)) % 30.41/30.61 (define @t218 () (= @t18 @t217)) % 30.41/30.61 (define @t219 () (tptp.meet tptp.a @t211)) % 30.41/30.61 (define @t220 () (= @t119 @t219)) % 30.41/30.61 (define @t221 () (tptp.meet @t35 @t21)) % 30.41/30.61 (define @t222 () (= @t221 (tptp.meet @t34 (tptp.meet @t23 @t21)))) % 30.41/30.61 (define @t223 () (tptp.meet @t34 @t21)) % 30.41/30.61 (define @t224 () (= @t223 (tptp.meet @t34 (tptp.join tptp.c (tptp.meet @t34 (tptp.join @t20 @t164)))))) % 30.41/30.61 (define @t225 () (tptp.meet tptp.b @t24)) % 30.41/30.61 (define @t226 () (tptp.join @t25 @t225)) % 30.41/30.61 (define @t227 () (tptp.meet @t34 @t19)) % 30.41/30.61 (define @t228 () (tptp.join tptp.c @t227)) % 30.41/30.61 (define @t229 () (and @t69 @t71 @t72 @t74 @t76 @t77 @t79 @t81 @t84 @t86 @t88 @t89 @t92 @t94 @t97 @t99 @t100 @t102 @t104 @t107 @t108 @t111 @t112 @t113 @t116 @t118 @t121 @t123 @t125 @t127 @t129 @t131 @t134 @t137 @t139 @t38 @t141 @t143 @t145 @t147 @t148 @t150 @t153 @t155 @t158 @t161 @t162 @t163 @t169 @t46 @t171 @t172 @t173 @t176 @t179 @t181 @t184 @t185 @t186 @t187 @t189 @t191 @t193 @t195 @t197 @t199 @t203 @t207 @t209 @t64 @t210 @t213 @t215 @t218 @t220 @t222 @t224)) % 30.41/30.61 (assume @p1 @t4) % 30.41/30.61 (assume @p2 (forall @t3 (= (tptp.join @t1 @t1) @t1))) % 30.41/30.61 (assume @p3 @t9) % 30.41/30.61 (assume @p4 @t12) % 30.41/30.61 (assume @p5 @t13) % 30.41/30.61 (assume @p6 (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 30.41/30.61 (assume @p7 @t16) % 30.41/30.61 (assume @p8 (forall @t15 (= (tptp.join @t6 @t14) (tptp.join @t1 @t17)))) % 30.41/30.61 (assume @p9 (forall @t15 (= (tptp.meet @t1 @t17) (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t1 (tptp.join @t14 @t10))))))) % 30.41/30.61 (assume @p10 (not @t26)) % 30.41/30.61 (step @p11 :rule eq-symm :args (@t2 @t1)) % 30.41/30.61 (step @p12 :rule cong :premises (@p11) :args (@t4)) % 30.41/30.61 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 30.41/30.61 (step @p14 :rule instantiate :premises (@p13) :args ((@list tptp.b))) % 30.41/30.61 (step @p15 :rule eq-symm :args (@t7 @t1)) % 30.41/30.61 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 30.41/30.61 (step @p17 :rule eq_resolve :premises (@p3 @p16)) % 30.41/30.61 (step @p18 :rule instantiate :premises (@p17) :args ((@list tptp.b @t20))) % 30.41/30.61 (step @p19 :rule instantiate :premises (@p6) :args ((@list tptp.d @t18))) % 30.41/30.61 (step @p20 :rule instantiate :premises (@p9) :args ((@list tptp.b tptp.c tptp.d))) % 30.41/30.61 (step @p21 :rule instantiate :premises (@p13) :args ((@list tptp.a))) % 30.41/30.61 (step @p22 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.c))) % 30.41/30.61 (step @p23 :rule instantiate :premises (@p5) :args ((@list tptp.a @t24))) % 30.41/30.61 (step @p24 :rule instantiate :premises (@p17) :args ((@list tptp.c tptp.d))) % 30.41/30.61 (step @p25 :rule instantiate :premises (@p7) :args ((@list tptp.a @t19 tptp.c))) % 30.41/30.61 (step @p26 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.b tptp.a))) % 30.41/30.61 (step @p27 :rule instantiate :premises (@p5) :args ((@list tptp.a @t19))) % 30.41/30.61 (step @p28 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.a))) % 30.41/30.61 (step @p29 :rule instantiate :premises (@p8) :args ((@list @t18 tptp.d @t20))) % 30.41/30.61 (step @p30 :rule eq-symm :args (@t11 @t1)) % 30.41/30.61 (step @p31 :rule cong :premises (@p30) :args (@t12)) % 30.41/30.61 (step @p32 :rule eq_resolve :premises (@p4 @p31)) % 30.41/30.61 (step @p33 :rule instantiate :premises (@p32) :args ((@list tptp.d tptp.b))) % 30.41/30.61 (step @p34 :rule instantiate :premises (@p7) :args ((@list tptp.b @t29 @t28))) % 30.41/30.61 (step @p35 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.b @t28))) % 30.41/30.61 (step @p36 :rule instantiate :premises (@p32) :args ((@list tptp.c tptp.b))) % 30.41/30.61 (step @p37 :rule instantiate :premises (@p17) :args ((@list @t19 tptp.c))) % 30.41/30.61 (step @p38 :rule instantiate :premises (@p5) :args ((@list @t30 tptp.a))) % 30.41/30.61 (step @p39 :rule instantiate :premises (@p8) :args ((@list tptp.c @t18 tptp.d))) % 30.41/30.61 (step @p40 :rule instantiate :premises (@p32) :args ((@list @t24 tptp.a))) % 30.41/30.61 (step @p41 :rule instantiate :premises (@p32) :args ((@list @t31 tptp.a))) % 30.41/30.61 (step @p42 :rule instantiate :premises (@p8) :args ((@list tptp.c @t20 tptp.d))) % 30.41/30.61 (step @p43 :rule instantiate :premises (@p7) :args ((@list tptp.b @t21 @t32))) % 30.41/30.61 (step @p44 :rule instantiate :premises (@p7) :args ((@list @t19 tptp.a tptp.c))) % 30.41/30.61 (step @p45 :rule instantiate :premises (@p32) :args ((@list @t20 @t18))) % 30.41/30.61 (step @p46 :rule instantiate :premises (@p5) :args ((@list tptp.b @t21))) % 30.41/30.61 (step @p47 :rule instantiate :premises (@p5) :args (@t33)) % 30.41/30.61 (step @p48 :rule instantiate :premises (@p5) :args ((@list tptp.b @t19))) % 30.41/30.61 (step @p49 :rule instantiate :premises (@p6) :args (@t33)) % 30.41/30.61 (step @p50 :rule instantiate :premises (@p5) :args ((@list @t21 @t32))) % 30.41/30.61 (step @p51 :rule instantiate :premises (@p7) :args ((@list @t23 tptp.a tptp.b))) % 30.41/30.61 (step @p52 :rule instantiate :premises (@p7) :args ((@list tptp.b @t23 tptp.c))) % 30.41/30.61 (step @p53 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.a @t24))) % 30.41/30.61 (step @p54 :rule eq-symm :args (@t35 @t25)) % 30.41/30.61 (step @p55 :rule refl :args (@t16)) % 30.41/30.61 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t16 @t36))) % 30.41/30.61 (assume-push @p489 @t16) % 30.41/30.61 (step @p58 :rule instantiate :premises (@p7) :args (@t37)) % 30.41/30.61 (step-pop @p490 :rule scope :premises (@p58)) % 30.41/30.61 (step @p59 :rule process_scope :premises (@p490) :args (@t36)) % 30.41/30.61 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 30.41/30.61 (step @p62 :rule implies_elim :premises (@p61)) % 30.41/30.61 (step @p63 :rule chain_m_resolution :premises (@p62 @p7) :args (@t38 @t39 @t40)) % 30.41/30.61 (step @p64 :rule instantiate :premises (@p7) :args ((@list tptp.c @t23 tptp.a))) % 30.41/30.61 (step @p65 :rule instantiate :premises (@p5) :args ((@list @t23 tptp.a))) % 30.41/30.61 (step @p66 :rule instantiate :premises (@p5) :args ((@list tptp.b @t23))) % 30.41/30.61 (step @p67 :rule instantiate :premises (@p6) :args ((@list @t24 @t25))) % 30.41/30.61 (step @p68 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.c @t23))) % 30.41/30.61 (step @p69 :rule instantiate :premises (@p7) :args ((@list tptp.a @t24 @t21))) % 30.41/30.61 (step @p70 :rule instantiate :premises (@p17) :args ((@list @t21 tptp.d))) % 30.41/30.61 (step @p71 :rule instantiate :premises (@p7) :args ((@list tptp.a @t24 @t19))) % 30.41/30.61 (step @p72 :rule instantiate :premises (@p9) :args ((@list @t30 @t19 tptp.c))) % 30.41/30.61 (step @p73 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.b @t19))) % 30.41/30.61 (step @p74 :rule instantiate :premises (@p6) :args ((@list tptp.d @t20))) % 30.41/30.61 (step @p75 :rule instantiate :premises (@p5) :args ((@list tptp.c @t23))) % 30.41/30.61 (step @p76 :rule instantiate :premises (@p9) :args ((@list @t34 tptp.c @t19))) % 30.41/30.61 (step @p77 :rule eq-symm :args (@t42 @t44)) % 30.41/30.61 (step @p78 :rule cong :premises (@p55 @p77) :args ((=> @t16 @t45))) % 30.41/30.61 (assume-push @p491 @t16) % 30.41/30.61 (step @p80 :rule instantiate :premises (@p7) :args ((@list tptp.a @t19 @t41))) % 30.41/30.61 (step-pop @p492 :rule scope :premises (@p80)) % 30.41/30.61 (step @p81 :rule process_scope :premises (@p492) :args (@t45)) % 30.41/30.61 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 30.41/30.61 (step @p84 :rule implies_elim :premises (@p83)) % 30.41/30.61 (step @p85 :rule chain_m_resolution :premises (@p84 @p7) :args (@t46 @t39 @t40)) % 30.41/30.61 (step @p86 :rule instantiate :premises (@p7) :args ((@list tptp.a @t23 tptp.b))) % 30.41/30.61 (step @p87 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.c))) % 30.41/30.61 (step @p88 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.a))) % 30.41/30.61 (step @p89 :rule instantiate :premises (@p5) :args ((@list @t19 @t41))) % 30.41/30.61 (step @p90 :rule instantiate :premises (@p7) :args ((@list @t34 @t23 @t19))) % 30.41/30.61 (step @p91 :rule instantiate :premises (@p7) :args ((@list tptp.a @t47 @t24))) % 30.41/30.61 (step @p92 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.a @t48))) % 30.41/30.61 (step @p93 :rule instantiate :premises (@p7) :args ((@list @t19 @t49 @t24))) % 30.41/30.61 (step @p94 :rule instantiate :premises (@p8) :args ((@list tptp.d @t18 @t52))) % 30.41/30.61 (step @p95 :rule instantiate :premises (@p5) :args ((@list @t19 @t53))) % 30.41/30.61 (step @p96 :rule instantiate :premises (@p32) :args ((@list @t19 @t54))) % 30.41/30.61 (step @p97 :rule instantiate :premises (@p8) :args ((@list tptp.c @t18 @t55))) % 30.41/30.61 (step @p98 :rule instantiate :premises (@p7) :args ((@list tptp.c @t23 @t41))) % 30.41/30.61 (step @p99 :rule instantiate :premises (@p7) :args ((@list tptp.c @t56 tptp.b))) % 30.41/30.61 (step @p100 :rule instantiate :premises (@p7) :args ((@list tptp.b @t32 @t21))) % 30.41/30.61 (step @p101 :rule instantiate :premises (@p7) :args ((@list @t21 @t57 tptp.b))) % 30.41/30.61 (step @p102 :rule instantiate :premises (@p7) :args ((@list @t21 tptp.b @t32))) % 30.41/30.61 (step @p103 :rule instantiate :premises (@p7) :args ((@list tptp.b @t23 @t59))) % 30.41/30.61 (step @p104 :rule instantiate :premises (@p7) :args ((@list @t24 @t59 tptp.c))) % 30.41/30.61 (step @p105 :rule instantiate :premises (@p5) :args ((@list @t21 @t57))) % 30.41/30.61 (step @p106 :rule eq-symm :args (@t60 @t61)) % 30.41/30.61 (step @p107 :rule refl :args (@t13)) % 30.41/30.61 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t13 @t62))) % 30.41/30.61 (assume-push @p493 @t13) % 30.41/30.61 (step @p110 :rule instantiate :premises (@p5) :args (@t63)) % 30.41/30.61 (step-pop @p494 :rule scope :premises (@p110)) % 30.41/30.61 (step @p111 :rule process_scope :premises (@p494) :args (@t62)) % 30.41/30.61 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 30.41/30.61 (step @p114 :rule implies_elim :premises (@p113)) % 30.41/30.61 (step @p115 :rule chain_m_resolution :premises (@p114 @p5) :args (@t64 @t39 (@list @t13))) % 30.41/30.61 (step @p116 :rule instantiate :premises (@p5) :args ((@list @t47 @t24))) % 30.41/30.61 (step @p117 :rule instantiate :premises (@p7) :args ((@list @t19 tptp.b tptp.c))) % 30.41/30.61 (step @p118 :rule instantiate :premises (@p5) :args ((@list @t67 @t41))) % 30.41/30.61 (step @p119 :rule instantiate :premises (@p32) :args ((@list @t18 @t51))) % 30.41/30.61 (step @p120 :rule instantiate :premises (@p7) :args ((@list tptp.a @t19 @t18))) % 30.41/30.61 (step @p121 :rule instantiate :premises (@p7) :args ((@list @t34 @t23 @t21))) % 30.41/30.61 (step @p122 :rule instantiate :premises (@p9) :args ((@list @t34 tptp.c @t20))) % 30.41/30.61 (assume-push @p495 @t69) % 30.41/30.61 (assume-push @p496 @t71) % 30.41/30.61 (assume-push @p497 @t72) % 30.41/30.61 (assume-push @p498 @t74) % 30.41/30.61 (assume-push @p499 @t76) % 30.41/30.61 (assume-push @p500 @t77) % 30.41/30.61 (assume-push @p501 @t79) % 30.41/30.61 (assume-push @p502 @t81) % 30.41/30.61 (assume-push @p503 @t84) % 30.41/30.61 (assume-push @p504 @t86) % 30.41/30.61 (assume-push @p505 @t88) % 30.41/30.61 (assume-push @p506 @t89) % 30.41/30.61 (assume-push @p507 @t92) % 30.41/30.61 (assume-push @p508 @t94) % 30.41/30.61 (assume-push @p509 @t97) % 30.41/30.61 (assume-push @p510 @t99) % 30.41/30.61 (assume-push @p511 @t100) % 30.41/30.61 (assume-push @p512 @t102) % 30.41/30.61 (assume-push @p513 @t104) % 30.41/30.61 (assume-push @p514 @t107) % 30.41/30.61 (assume-push @p515 @t108) % 30.41/30.61 (assume-push @p516 @t111) % 30.41/30.61 (assume-push @p517 @t112) % 30.41/30.61 (assume-push @p518 @t113) % 30.41/30.61 (assume-push @p519 @t116) % 30.41/30.61 (assume-push @p520 @t118) % 30.41/30.61 (assume-push @p521 @t121) % 30.41/30.61 (assume-push @p522 @t123) % 30.41/30.61 (assume-push @p523 @t125) % 30.41/30.61 (assume-push @p524 @t127) % 30.41/30.61 (assume-push @p525 @t129) % 30.41/30.61 (assume-push @p526 @t131) % 30.41/30.61 (assume-push @p527 @t134) % 30.41/30.61 (assume-push @p528 @t137) % 30.41/30.61 (assume-push @p529 @t139) % 30.41/30.61 (assume-push @p530 @t38) % 30.41/30.61 (assume-push @p531 @t141) % 30.41/30.61 (assume-push @p532 @t143) % 30.41/30.61 (assume-push @p533 @t145) % 30.41/30.61 (assume-push @p534 @t147) % 30.41/30.61 (assume-push @p535 @t148) % 30.41/30.61 (assume-push @p536 @t150) % 30.41/30.61 (assume-push @p537 @t153) % 30.41/30.61 (assume-push @p538 @t155) % 30.41/30.61 (assume-push @p539 @t158) % 30.41/30.61 (assume-push @p540 @t161) % 30.41/30.61 (assume-push @p541 @t162) % 30.41/30.61 (assume-push @p542 @t163) % 30.41/30.61 (assume-push @p543 @t169) % 30.41/30.61 (assume-push @p544 @t46) % 30.41/30.61 (assume-push @p545 @t171) % 30.41/30.61 (assume-push @p546 @t172) % 30.41/30.61 (assume-push @p547 @t173) % 30.41/30.61 (assume-push @p548 @t176) % 30.41/30.61 (assume-push @p549 @t179) % 30.41/30.61 (assume-push @p550 @t181) % 30.41/30.61 (assume-push @p551 @t184) % 30.41/30.61 (assume-push @p552 @t185) % 30.41/30.61 (assume-push @p553 @t186) % 30.41/30.61 (assume-push @p554 @t187) % 30.41/30.61 (assume-push @p555 @t189) % 30.41/30.61 (assume-push @p556 @t191) % 30.41/30.61 (assume-push @p557 @t193) % 30.41/30.61 (assume-push @p558 @t195) % 30.41/30.61 (assume-push @p559 @t197) % 30.41/30.61 (assume-push @p560 @t199) % 30.41/30.61 (assume-push @p561 @t203) % 30.41/30.61 (assume-push @p562 @t207) % 30.41/30.61 (assume-push @p563 @t209) % 30.41/30.61 (assume-push @p564 @t64) % 30.41/30.61 (assume-push @p565 @t210) % 30.41/30.61 (assume-push @p566 @t213) % 30.41/30.61 (assume-push @p567 @t215) % 30.41/30.61 (assume-push @p568 @t218) % 30.41/30.61 (assume-push @p569 @t220) % 30.41/30.61 (assume-push @p570 @t222) % 30.41/30.61 (assume-push @p571 @t224) % 30.41/30.61 (step @p200 :rule symm :premises (@p46)) % 30.41/30.61 (step @p201 :rule refl :args (tptp.b)) % 30.41/30.61 (step @p202 :rule symm :premises (@p70)) % 30.41/30.61 (step @p203 :rule cong :premises (@p202 @p201) :args (@t196)) % 30.41/30.61 (step @p204 :rule symm :premises (@p101)) % 30.41/30.61 (step @p205 :rule symm :premises (@p42)) % 30.41/30.61 (step @p206 :rule refl :args (@t55)) % 30.41/30.61 (step @p207 :rule symm :premises (@p36)) % 30.41/30.61 (step @p208 :rule refl :args (tptp.c)) % 30.41/30.61 (step @p209 :rule cong :premises (@p208 @p22) :args (@t106)) % 30.41/30.61 (step @p210 :rule trans :premises (@p209 @p207)) % 30.41/30.61 (step @p211 :rule cong :premises (@p210 @p206) :args (@t188)) % 30.41/30.61 (step @p212 :rule symm :premises (@p97)) % 30.41/30.61 (step @p213 :rule refl :args (@t18)) % 30.41/30.61 (step @p214 :rule cong :premises (@p213 @p74) :args (@t91)) % 30.41/30.61 (step @p215 :rule symm :premises (@p27)) % 30.41/30.61 (step @p216 :rule refl :args (tptp.a)) % 30.41/30.61 (step @p217 :rule symm :premises (@p19)) % 30.41/30.61 (step @p218 :rule cong :premises (@p217 @p216) :args (@t109)) % 30.41/30.61 (step @p219 :rule trans :premises (@p218 @p215)) % 30.41/30.61 (step @p220 :rule refl :args (@t31)) % 30.41/30.61 (step @p221 :rule cong :premises (@p220 @p219) :args (@t110)) % 30.41/30.61 (step @p222 :rule trans :premises (@p19 @p41 @p221 @p29 @p214)) % 30.41/30.61 (step @p223 :rule cong :premises (@p208 @p222) :args (@t128)) % 30.41/30.61 (step @p224 :rule cong :premises (@p208 @p217) :args (@t105)) % 30.41/30.61 (step @p225 :rule refl :args (tptp.d)) % 30.41/30.61 (step @p226 :rule symm :premises (@p210)) % 30.41/30.61 (step @p227 :rule cong :premises (@p226 @p225) :args (@t23)) % 30.41/30.61 (step @p228 :rule trans :premises (@p227 @p39 @p224 @p223 @p212 @p211 @p205)) % 30.41/30.61 (step @p229 :rule cong :premises (@p228 @p201) :args (@t144)) % 30.41/30.61 (step @p230 :rule symm :premises (@p40)) % 30.41/30.61 (step @p231 :rule refl :args (@t24)) % 30.41/30.61 (step @p232 :rule cong :premises (@p231 @p23) :args (@t146)) % 30.41/30.61 (step @p233 :rule symm :premises (@p67)) % 30.41/30.61 (step @p234 :rule symm :premises (@p20)) % 30.41/30.61 (step @p235 :rule refl :args (@t28)) % 30.41/30.61 (step @p236 :rule symm :premises (@p14)) % 30.41/30.61 (step @p237 :rule cong :premises (@p236 @p235) :args (@t98)) % 30.41/30.61 (step @p238 :rule symm :premises (@p35)) % 30.41/30.61 (step @p239 :rule cong :premises 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@p628 :rule scope :premises (@p627)) % 30.41/30.61 (step-pop @p629 :rule scope :premises (@p628)) % 30.41/30.61 (step-pop @p630 :rule scope :premises (@p629)) % 30.41/30.61 (step-pop @p631 :rule scope :premises (@p630)) % 30.41/30.61 (step-pop @p632 :rule scope :premises (@p631)) % 30.41/30.61 (step-pop @p633 :rule scope :premises (@p632)) % 30.41/30.61 (step-pop @p634 :rule scope :premises (@p633)) % 30.41/30.61 (step-pop @p635 :rule scope :premises (@p634)) % 30.41/30.61 (step-pop @p636 :rule scope :premises (@p635)) % 30.41/30.61 (step-pop @p637 :rule scope :premises (@p636)) % 30.41/30.61 (step-pop @p638 :rule scope :premises (@p637)) % 30.41/30.61 (step-pop @p639 :rule scope :premises (@p638)) % 30.41/30.61 (step-pop @p640 :rule scope :premises (@p639)) % 30.41/30.61 (step-pop @p641 :rule scope :premises (@p640)) % 30.41/30.61 (step-pop @p642 :rule scope :premises (@p641)) % 30.41/30.61 (step-pop @p643 :rule scope :premises (@p642)) % 30.41/30.61 (step-pop @p644 :rule scope :premises (@p643)) % 30.41/30.61 (step-pop @p645 :rule scope :premises (@p644)) % 30.41/30.61 (step-pop @p646 :rule scope :premises (@p645)) % 30.41/30.61 (step-pop @p647 :rule scope :premises (@p646)) % 30.41/30.61 (step-pop @p648 :rule scope :premises (@p647)) % 30.41/30.61 (step @p406 :rule process_scope :premises (@p648) :args (@t26)) % 30.41/30.61 (step @p484 :rule implies_elim :premises (@p406)) % 30.41/30.61 (step @p485 :rule cnf_and_neg :args (@t229)) % 30.41/30.61 (step @p486 :rule resolution :premises (@p485 @p484) :args (true @t229)) % 30.41/30.61 (step @p487 :rule reordering :premises (@p486) :args ((or @t26 (not @t69) (not @t71) (not @t72) (not @t74) (not @t76) (not @t77) (not @t79) (not @t81) (not @t84) (not @t86) (not @t88) (not @t89) (not @t92) (not @t94) (not @t97) (not @t99) (not @t100) (not @t102) (not @t104) (not @t107) (not @t108) (not @t111) (not @t113) (not @t116) (not @t118) (not @t121) (not @t123) (not @t125) (not @t127) (not @t129) (not @t131) (not @t134) (not @t137) (not @t139) (not @t38) (not @t141) (not @t143) (not @t145) (not @t147) (not @t150) (not @t153) (not @t155) (not @t158) (not @t161) (not @t162) (not @t112) (not @t163) (not @t169) (not @t46) (not @t171) (not @t172) (not @t148) (not @t173) (not @t176) (not @t179) (not @t181) (not @t184) (not @t185) (not @t186) (not @t187) (not @t189) (not @t191) (not @t193) (not @t195) (not @t197) (not @t199) (not @t203) (not @t207) (not @t209) (not @t64) (not @t210) (not @t213) (not @t215) (not @t218) (not @t220) (not @t222) (not @t224)))) % 30.41/30.61 (step @p488 false :rule chain_m_resolution :premises (@p487 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @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 true) (@list @t224 @t222 @t220 @t218 @t215 @t213 @t210 @t64 @t209 @t207 @t203 @t199 @t197 @t195 @t193 @t191 @t189 @t187 @t186 @t185 @t184 @t181 @t179 @t176 @t173 @t148 @t172 @t171 @t46 @t169 @t163 @t112 @t162 @t161 @t158 @t155 @t153 @t150 @t147 @t145 @t143 @t141 @t38 @t139 @t137 @t134 @t131 @t129 @t127 @t125 @t123 @t121 @t118 @t116 @t113 @t111 @t108 @t107 @t104 @t102 @t100 @t99 @t97 @t94 @t92 @t89 @t88 @t86 @t84 @t81 @t79 @t77 @t76 @t74 @t72 @t71 @t69 @t26))) % 30.41/30.61 ) % 30.41/30.62 % SZS output end Proof % 30.41/30.62 % cvc5 exiting %------------------------------------------------------------------------------