%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT175-1 : 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 : n017.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 08:29:52 AM UTC 2026 % Result : Unsatisfiable 49.43s 49.66s % Output : Proof 49.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT175-1 : 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 : n017.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 05:54:46 EDT 2026 % 0.17/0.34 % 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... % 15.32/15.57 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.43/27.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.43/33.68 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 49.43/49.66 % SZS status Unsatisfiable % 49.43/49.66 % SZS output start Proof % 49.43/49.67 ( % 49.43/49.67 (declare-sort $$unsorted 0) % 49.43/49.67 (declare-const tptp.c $$unsorted) % 49.43/49.67 (declare-const tptp.a $$unsorted) % 49.43/49.67 (declare-const tptp.b $$unsorted) % 49.43/49.67 (declare-const tptp.d $$unsorted) % 49.43/49.67 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 49.43/49.67 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 49.43/49.67 (define @t1 () (@var "X" $$unsorted)) % 49.43/49.67 (define @t2 () (@list @t1)) % 49.43/49.67 (define @t3 () (@var "Y" $$unsorted)) % 49.43/49.67 (define @t4 () (tptp.join @t1 @t3)) % 49.43/49.67 (define @t5 () (tptp.meet @t1 @t4)) % 49.43/49.67 (define @t6 () (@list @t1 @t3)) % 49.43/49.67 (define @t7 () (forall @t6 (= @t5 @t1))) % 49.43/49.67 (define @t8 () (tptp.meet @t1 @t3)) % 49.43/49.67 (define @t9 () (tptp.join @t1 @t8)) % 49.43/49.67 (define @t10 () (forall @t6 (= @t9 @t1))) % 49.43/49.67 (define @t11 () (@var "Z" $$unsorted)) % 49.43/49.67 (define @t12 () (@list @t1 @t3 @t11)) % 49.43/49.67 (define @t13 () (forall @t12 (= (tptp.meet @t8 @t11) (tptp.meet @t1 (tptp.meet @t3 @t11))))) % 49.43/49.67 (define @t14 () (forall @t12 (= (tptp.join @t4 @t11) (tptp.join @t1 (tptp.join @t3 @t11))))) % 49.43/49.67 (define @t15 () (@var "U" $$unsorted)) % 49.43/49.67 (define @t16 () (tptp.meet tptp.b tptp.d)) % 49.43/49.67 (define @t17 () (tptp.meet tptp.a tptp.d)) % 49.43/49.67 (define @t18 () (tptp.join @t17 @t16)) % 49.43/49.67 (define @t19 () (tptp.meet tptp.c @t18)) % 49.43/49.67 (define @t20 () (tptp.join tptp.b @t19)) % 49.43/49.67 (define @t21 () (tptp.meet tptp.a @t20)) % 49.43/49.67 (define @t22 () (tptp.meet tptp.c tptp.d)) % 49.43/49.67 (define @t23 () (tptp.meet tptp.a @t22)) % 49.43/49.67 (define @t24 () (tptp.join tptp.b @t23)) % 49.43/49.67 (define @t25 () (tptp.meet tptp.a @t24)) % 49.43/49.67 (define @t26 () (= @t25 @t21)) % 49.43/49.67 (define @t27 () (@list tptp.b @t23)) % 49.43/49.67 (define @t28 () (@list @t17 @t16)) % 49.43/49.67 (define @t29 () (@list tptp.a tptp.d)) % 49.43/49.67 (define @t30 () (@list tptp.a @t22)) % 49.43/49.67 (define @t31 () (@list tptp.b tptp.d)) % 49.43/49.67 (define @t32 () (@list tptp.c tptp.d)) % 49.43/49.67 (define @t33 () (@list tptp.a @t20)) % 49.43/49.67 (define @t34 () (tptp.meet tptp.a tptp.c)) % 49.43/49.67 (define @t35 () (tptp.meet @t34 tptp.d)) % 49.43/49.67 (define @t36 () (= @t35 @t23)) % 49.43/49.67 (define @t37 () (@list tptp.a tptp.c tptp.d)) % 49.43/49.67 (define @t38 () (= @t23 @t35)) % 49.43/49.67 (define @t39 () (@list false)) % 49.43/49.67 (define @t40 () (@list tptp.a tptp.b)) % 49.43/49.67 (define @t41 () (tptp.join tptp.a tptp.b)) % 49.43/49.67 (define @t42 () (tptp.join @t17 tptp.b)) % 49.43/49.67 (define @t43 () (tptp.join tptp.c @t22)) % 49.43/49.67 (define @t44 () (tptp.join @t18 tptp.b)) % 49.43/49.67 (define @t45 () (tptp.join tptp.b tptp.b)) % 49.43/49.67 (define @t46 () (tptp.meet tptp.d @t45)) % 49.43/49.67 (define @t47 () (tptp.join tptp.b @t46)) % 49.43/49.67 (define @t48 () (tptp.meet @t18 tptp.c)) % 49.43/49.67 (define @t49 () (tptp.join @t23 tptp.b)) % 49.43/49.67 (define @t50 () (tptp.join @t49 @t19)) % 49.43/49.67 (define @t51 () (tptp.join @t23 @t20)) % 49.43/49.67 (define @t52 () (= @t50 @t51)) % 49.43/49.67 (define @t53 () (@list @t23 tptp.b @t19)) % 49.43/49.67 (define @t54 () (= @t51 @t50)) % 49.43/49.67 (define @t55 () (tptp.join tptp.b tptp.d)) % 49.43/49.67 (define @t56 () (tptp.meet tptp.a @t41)) % 49.43/49.67 (define @t57 () (tptp.join tptp.a @t56)) % 49.43/49.67 (define @t58 () (tptp.join tptp.b @t25)) % 49.43/49.67 (define @t59 () (tptp.join @t16 @t19)) % 49.43/49.67 (define @t60 () (tptp.meet tptp.d tptp.b)) % 49.43/49.67 (define @t61 () (tptp.join @t17 @t60)) % 49.43/49.67 (define @t62 () (tptp.meet tptp.c @t61)) % 49.43/49.67 (define @t63 () (tptp.join @t16 @t48)) % 49.43/49.67 (define @t64 () (tptp.join tptp.c tptp.c)) % 49.43/49.67 (define @t65 () (tptp.meet tptp.a @t64)) % 49.43/49.67 (define @t66 () (tptp.join @t19 tptp.d)) % 49.43/49.67 (define @t67 () (tptp.meet @t17 @t18)) % 49.43/49.67 (define @t68 () (tptp.meet tptp.b @t24)) % 49.43/49.67 (define @t69 () (= tptp.b @t68)) % 49.43/49.67 (define @t70 () (= @t17 @t67)) % 49.43/49.67 (define @t71 () (tptp.join tptp.a @t17)) % 49.43/49.67 (define @t72 () (= tptp.a @t71)) % 49.43/49.67 (define @t73 () (tptp.join tptp.a @t23)) % 49.43/49.67 (define @t74 () (= tptp.a @t73)) % 49.43/49.67 (define @t75 () (tptp.join tptp.b @t16)) % 49.43/49.67 (define @t76 () (= tptp.b @t75)) % 49.43/49.67 (define @t77 () (= tptp.c @t43)) % 49.43/49.67 (define @t78 () (tptp.meet tptp.d tptp.a)) % 49.43/49.67 (define @t79 () (= @t17 @t78)) % 49.43/49.67 (define @t80 () (tptp.meet @t22 tptp.a)) % 49.43/49.67 (define @t81 () (= @t23 @t80)) % 49.43/49.67 (define @t82 () (tptp.meet @t24 tptp.a)) % 49.43/49.67 (define @t83 () (= @t25 @t82)) % 49.43/49.67 (define @t84 () (tptp.meet @t20 tptp.a)) % 49.43/49.67 (define @t85 () (= @t21 @t84)) % 49.43/49.67 (define @t86 () (= @t16 @t60)) % 49.43/49.67 (define @t87 () (tptp.meet tptp.d tptp.c)) % 49.43/49.67 (define @t88 () (= @t22 @t87)) % 49.43/49.67 (define @t89 () (= @t19 @t48)) % 49.43/49.67 (define @t90 () (= @t24 @t49)) % 49.43/49.67 (define @t91 () (tptp.join @t19 tptp.b)) % 49.43/49.67 (define @t92 () (= @t20 @t91)) % 49.43/49.67 (define @t93 () (tptp.join @t16 @t17)) % 49.43/49.67 (define @t94 () (= @t18 @t93)) % 49.43/49.67 (define @t95 () (= tptp.a @t56)) % 49.43/49.67 (define @t96 () (= tptp.a @t57)) % 49.43/49.67 (define @t97 () (tptp.join tptp.b @t93)) % 49.43/49.67 (define @t98 () (= (tptp.join @t75 @t17) @t97)) % 49.43/49.67 (define @t99 () (tptp.join tptp.b @t59)) % 49.43/49.67 (define @t100 () (tptp.join @t75 @t19)) % 49.43/49.67 (define @t101 () (= @t100 @t99)) % 49.43/49.67 (define @t102 () (= tptp.b (tptp.join tptp.b @t68))) % 49.43/49.67 (define @t103 () (tptp.join tptp.d @t78)) % 49.43/49.67 (define @t104 () (= tptp.d @t103)) % 49.43/49.67 (define @t105 () (tptp.join tptp.d @t87)) % 49.43/49.67 (define @t106 () (= tptp.d @t105)) % 49.43/49.67 (define @t107 () (= @t24 (tptp.join @t24 @t82))) % 49.43/49.67 (define @t108 () (tptp.join @t18 @t48)) % 49.43/49.67 (define @t109 () (= @t18 @t108)) % 49.43/49.67 (define @t110 () (tptp.meet tptp.c @t43)) % 49.43/49.67 (define @t111 () (= tptp.c @t110)) % 49.43/49.67 (define @t112 () (tptp.meet @t19 @t91)) % 49.43/49.67 (define @t113 () (= @t19 @t112)) % 49.43/49.67 (define @t114 () (tptp.meet tptp.c tptp.a)) % 49.43/49.67 (define @t115 () (= @t34 @t114)) % 49.43/49.67 (define @t116 () (tptp.meet @t18 @t17)) % 49.43/49.67 (define @t117 () (= @t67 @t116)) % 49.43/49.67 (define @t118 () (tptp.join tptp.b tptp.a)) % 49.43/49.67 (define @t119 () (= @t41 @t118)) % 49.43/49.67 (define @t120 () (tptp.join @t23 tptp.a)) % 49.43/49.67 (define @t121 () (= @t73 @t120)) % 49.43/49.67 (define @t122 () (tptp.join tptp.b @t17)) % 49.43/49.67 (define @t123 () (= @t122 @t42)) % 49.43/49.67 (define @t124 () (tptp.join @t16 tptp.b)) % 49.43/49.67 (define @t125 () (= @t75 @t124)) % 49.43/49.67 (define @t126 () (= (tptp.join tptp.b @t18) @t44)) % 49.43/49.67 (define @t127 () (tptp.meet tptp.c @t78)) % 49.43/49.67 (define @t128 () (= @t80 @t127)) % 49.43/49.67 (define @t129 () (tptp.meet tptp.a @t87)) % 49.43/49.67 (define @t130 () (tptp.meet @t17 tptp.c)) % 49.43/49.67 (define @t131 () (= @t130 @t129)) % 49.43/49.67 (define @t132 () (tptp.meet @t80 @t41)) % 49.43/49.67 (define @t133 () (= @t132 (tptp.meet @t22 @t56))) % 49.43/49.67 (define @t134 () (tptp.join tptp.d @t62)) % 49.43/49.67 (define @t135 () (= @t134 (tptp.join tptp.d (tptp.meet (tptp.join tptp.d (tptp.meet tptp.c (tptp.join tptp.d @t17))) @t42)))) % 49.43/49.67 (define @t136 () (tptp.meet @t57 @t55)) % 49.43/49.67 (define @t137 () (tptp.join tptp.a @t136)) % 49.43/49.67 (define @t138 () (tptp.meet tptp.a @t122)) % 49.43/49.67 (define @t139 () (tptp.join tptp.a @t138)) % 49.43/49.67 (define @t140 () (= @t139 @t137)) % 49.43/49.67 (define @t141 () (tptp.meet tptp.d @t42)) % 49.43/49.67 (define @t142 () (tptp.join tptp.d @t141)) % 49.43/49.67 (define @t143 () (= tptp.d @t142)) % 49.43/49.67 (define @t144 () (= tptp.c (tptp.join tptp.c @t110))) % 49.43/49.67 (define @t145 () (tptp.meet tptp.a tptp.b)) % 49.43/49.67 (define @t146 () (tptp.join tptp.a @t145)) % 49.43/49.67 (define @t147 () (= tptp.a @t146)) % 49.43/49.67 (define @t148 () (= tptp.a (tptp.join tptp.a (tptp.meet tptp.a @t44)))) % 49.43/49.67 (define @t149 () (= @t47 (tptp.meet @t47 (tptp.join @t47 tptp.d)))) % 49.43/49.67 (define @t150 () (tptp.join @t17 @t63)) % 49.43/49.67 (define @t151 () (= @t108 @t150)) % 49.43/49.67 (define @t152 () (= @t23 (tptp.meet @t23 @t120))) % 49.43/49.67 (define @t153 () (tptp.meet tptp.b tptp.a)) % 49.43/49.67 (define @t154 () (= @t145 @t153)) % 49.43/49.67 (define @t155 () (tptp.meet @t19 tptp.a)) % 49.43/49.67 (define @t156 () (tptp.meet tptp.a @t19)) % 49.43/49.67 (define @t157 () (= @t156 @t155)) % 49.43/49.67 (define @t158 () (tptp.meet @t55 @t57)) % 49.43/49.67 (define @t159 () (= @t136 @t158)) % 49.43/49.67 (define @t160 () (tptp.meet @t51 @t58)) % 49.43/49.67 (define @t161 () (= (tptp.meet @t58 @t51) @t160)) % 49.43/49.67 (define @t162 () (tptp.join @t20 tptp.a)) % 49.43/49.67 (define @t163 () (= (tptp.join tptp.a @t20) @t162)) % 49.43/49.67 (define @t164 () (tptp.join @t21 tptp.b)) % 49.43/49.67 (define @t165 () (= (tptp.join tptp.b @t21) @t164)) % 49.43/49.67 (define @t166 () (= @t99 (tptp.join @t59 tptp.b))) % 49.43/49.67 (define @t167 () (tptp.join @t20 @t23)) % 49.43/49.67 (define @t168 () (= @t51 @t167)) % 49.43/49.67 (define @t169 () (tptp.join @t62 tptp.d)) % 49.43/49.67 (define @t170 () (= @t134 @t169)) % 49.43/49.67 (define @t171 () (tptp.join @t63 tptp.b)) % 49.43/49.67 (define @t172 () (tptp.join @t17 @t171)) % 49.43/49.67 (define @t173 () (= (tptp.join @t150 tptp.b) @t172)) % 49.43/49.67 (define @t174 () (tptp.join tptp.a @t42)) % 49.43/49.67 (define @t175 () (= (tptp.join @t71 tptp.b) @t174)) % 49.43/49.67 (define @t176 () (tptp.join tptp.a tptp.a)) % 49.43/49.67 (define @t177 () (tptp.join tptp.a @t153)) % 49.43/49.67 (define @t178 () (tptp.meet @t23 @t177)) % 49.43/49.67 (define @t179 () (tptp.join tptp.b @t178)) % 49.43/49.67 (define @t180 () (= @t179 (tptp.join tptp.b (tptp.meet (tptp.join tptp.b (tptp.meet @t23 @t118)) @t176)))) % 49.43/49.67 (define @t181 () (tptp.meet @t43 tptp.a)) % 49.43/49.67 (define @t182 () (tptp.meet tptp.c @t181)) % 49.43/49.67 (define @t183 () (= (tptp.meet @t110 tptp.a) @t182)) % 49.43/49.67 (define @t184 () (tptp.meet @t47 @t55)) % 49.43/49.67 (define @t185 () (tptp.meet @t184 tptp.a)) % 49.43/49.67 (define @t186 () (= @t185 (tptp.meet @t47 (tptp.meet @t55 tptp.a)))) % 49.43/49.67 (define @t187 () (tptp.join @t58 @t19)) % 49.43/49.67 (define @t188 () (tptp.meet @t58 @t187)) % 49.43/49.67 (define @t189 () (= @t58 @t188)) % 49.43/49.67 (define @t190 () (tptp.join @t71 @t20)) % 49.43/49.67 (define @t191 () (= @t190 (tptp.join tptp.a (tptp.join @t17 @t20)))) % 49.43/49.67 (define @t192 () (= @t20 (tptp.meet @t20 @t162))) % 49.43/49.67 (define @t193 () (tptp.meet @t65 tptp.d)) % 49.43/49.67 (define @t194 () (tptp.meet tptp.c @t193)) % 49.43/49.67 (define @t195 () (= (tptp.meet (tptp.meet tptp.c @t65) tptp.d) @t194)) % 49.43/49.67 (define @t196 () (tptp.meet @t19 @t23)) % 49.43/49.67 (define @t197 () (= @t196 (tptp.meet tptp.c (tptp.meet @t18 @t23)))) % 49.43/49.67 (define @t198 () (tptp.meet tptp.a @t51)) % 49.43/49.67 (define @t199 () (tptp.meet @t198 @t58)) % 49.43/49.67 (define @t200 () (= @t199 (tptp.meet tptp.a @t160))) % 49.43/49.67 (define @t201 () (tptp.meet @t20 @t41)) % 49.43/49.67 (define @t202 () (tptp.meet @t19 @t201)) % 49.43/49.67 (define @t203 () (= (tptp.meet (tptp.meet @t19 @t20) @t41) @t202)) % 49.43/49.67 (define @t204 () (tptp.meet @t19 @t66)) % 49.43/49.67 (define @t205 () (= @t19 @t204)) % 49.43/49.67 (define @t206 () (= @t21 (tptp.meet @t21 @t164))) % 49.43/49.67 (define @t207 () (tptp.join @t19 @t23)) % 49.43/49.67 (define @t208 () (tptp.join tptp.b @t207)) % 49.43/49.67 (define @t209 () (= @t167 @t208)) % 49.43/49.67 (define @t210 () (= @t19 (tptp.join @t19 @t196))) % 49.43/49.67 (define @t211 () (tptp.meet @t18 @t130)) % 49.43/49.67 (define @t212 () (= (tptp.meet @t116 tptp.c) @t211)) % 49.43/49.67 (define @t213 () (tptp.meet @t204 tptp.a)) % 49.43/49.67 (define @t214 () (= @t213 (tptp.meet @t19 (tptp.meet @t66 tptp.a)))) % 49.43/49.67 (define @t215 () (tptp.meet @t19 @t67)) % 49.43/49.67 (define @t216 () (= @t215 (tptp.meet tptp.c (tptp.meet @t18 @t67)))) % 49.43/49.67 (define @t217 () (tptp.meet @t19 @t118)) % 49.43/49.67 (define @t218 () (tptp.join tptp.b @t217)) % 49.43/49.67 (define @t219 () (tptp.meet @t218 @t176)) % 49.43/49.67 (define @t220 () (tptp.join tptp.b @t219)) % 49.43/49.67 (define @t221 () (= (tptp.join tptp.b (tptp.meet @t19 @t177)) @t220)) % 49.43/49.67 (define @t222 () (tptp.meet tptp.b @t136)) % 49.43/49.67 (define @t223 () (tptp.join tptp.a @t222)) % 49.43/49.67 (define @t224 () (tptp.meet @t19 @t223)) % 49.43/49.67 (define @t225 () (tptp.join @t24 @t25)) % 49.43/49.67 (define @t226 () (tptp.meet @t19 @t80)) % 49.43/49.67 (define @t227 () (and @t69 @t70 @t72 @t74 @t76 @t77 @t79 @t81 @t83 @t85 @t86 @t88 @t89 @t90 @t92 @t94 @t38 @t95 @t96 @t98 @t101 @t102 @t104 @t106 @t107 @t109 @t111 @t113 @t115 @t117 @t119 @t121 @t123 @t125 @t126 @t128 @t131 @t133 @t135 @t140 @t143 @t144 @t147 @t148 @t149 @t151 @t54 @t152 @t154 @t157 @t159 @t161 @t163 @t165 @t166 @t168 @t170 @t173 @t175 @t180 @t183 @t186 @t189 @t191 @t192 @t195 @t197 @t200 @t203 @t205 @t206 @t209 @t210 @t212 @t214 @t216 @t221)) % 49.43/49.67 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 49.43/49.67 (assume @p2 (forall @t2 (= (tptp.join @t1 @t1) @t1))) % 49.43/49.67 (assume @p3 @t7) % 49.43/49.67 (assume @p4 @t10) % 49.43/49.67 (assume @p5 (forall @t6 (= @t8 (tptp.meet @t3 @t1)))) % 49.43/49.67 (assume @p6 (forall @t6 (= @t4 (tptp.join @t3 @t1)))) % 49.43/49.67 (assume @p7 @t13) % 49.43/49.67 (assume @p8 @t14) % 49.43/49.67 (assume @p9 (forall (@list @t1 @t3 @t11 @t15) (= (tptp.join @t1 (tptp.meet @t3 (tptp.join @t11 (tptp.meet @t1 @t15)))) (tptp.join @t1 (tptp.meet (tptp.join @t1 (tptp.meet @t3 (tptp.join @t1 @t11))) (tptp.join @t11 @t15)))))) % 49.43/49.67 (assume @p10 (not @t26)) % 49.43/49.67 (step @p11 :rule eq-symm :args (@t5 @t1)) % 49.43/49.67 (step @p12 :rule cong :premises (@p11) :args (@t7)) % 49.43/49.67 (step @p13 :rule eq_resolve :premises (@p3 @p12)) % 49.43/49.67 (step @p14 :rule instantiate :premises (@p13) :args (@t27)) % 49.43/49.67 (step @p15 :rule instantiate :premises (@p13) :args (@t28)) % 49.43/49.67 (step @p16 :rule eq-symm :args (@t9 @t1)) % 49.43/49.67 (step @p17 :rule cong :premises (@p16) :args (@t10)) % 49.43/49.67 (step @p18 :rule eq_resolve :premises (@p4 @p17)) % 49.43/49.67 (step @p19 :rule instantiate :premises (@p18) :args (@t29)) % 49.43/49.67 (step @p20 :rule instantiate :premises (@p18) :args (@t30)) % 49.43/49.67 (step @p21 :rule instantiate :premises (@p18) :args (@t31)) % 49.43/49.67 (step @p22 :rule instantiate :premises (@p18) :args (@t32)) % 49.43/49.67 (step @p23 :rule instantiate :premises (@p5) :args (@t29)) % 49.43/49.67 (step @p24 :rule instantiate :premises (@p5) :args (@t30)) % 49.43/49.67 (step @p25 :rule instantiate :premises (@p5) :args ((@list tptp.a @t24))) % 49.43/49.67 (step @p26 :rule instantiate :premises (@p5) :args (@t33)) % 49.43/49.67 (step @p27 :rule instantiate :premises (@p5) :args (@t31)) % 49.43/49.67 (step @p28 :rule instantiate :premises (@p5) :args (@t32)) % 49.43/49.67 (step @p29 :rule instantiate :premises (@p5) :args ((@list tptp.c @t18))) % 49.43/49.67 (step @p30 :rule instantiate :premises (@p6) :args (@t27)) % 49.43/49.67 (step @p31 :rule instantiate :premises (@p6) :args ((@list tptp.b @t19))) % 49.43/49.67 (step @p32 :rule instantiate :premises (@p6) :args (@t28)) % 49.43/49.67 (step @p33 :rule eq-symm :args (@t35 @t23)) % 49.43/49.67 (step @p34 :rule refl :args (@t13)) % 49.43/49.67 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t13 @t36))) % 49.43/49.67 (assume-push @p479 @t13) % 49.43/49.67 (step @p37 :rule instantiate :premises (@p7) :args (@t37)) % 49.43/49.67 (step-pop @p480 :rule scope :premises (@p37)) % 49.43/49.67 (step @p38 :rule process_scope :premises (@p480) :args (@t36)) % 49.43/49.67 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 49.43/49.67 (step @p41 :rule implies_elim :premises (@p40)) % 49.43/49.67 (step @p42 :rule chain_m_resolution :premises (@p41 @p7) :args (@t38 @t39 (@list @t13))) % 49.43/49.67 (step @p43 :rule instantiate :premises (@p13) :args (@t40)) % 49.43/49.67 (step @p44 :rule instantiate :premises (@p18) :args ((@list tptp.a @t41))) % 49.43/49.67 (step @p45 :rule instantiate :premises (@p8) :args ((@list tptp.b @t16 @t17))) % 49.43/49.67 (step @p46 :rule instantiate :premises (@p8) :args ((@list tptp.b @t16 @t19))) % 49.43/49.67 (step @p47 :rule instantiate :premises (@p18) :args ((@list tptp.b @t24))) % 49.43/49.67 (step @p48 :rule instantiate :premises (@p18) :args ((@list tptp.d tptp.a))) % 49.43/49.67 (step @p49 :rule instantiate :premises (@p18) :args ((@list tptp.d tptp.c))) % 49.43/49.67 (step @p50 :rule instantiate :premises (@p18) :args ((@list @t24 tptp.a))) % 49.43/49.67 (step @p51 :rule instantiate :premises (@p18) :args ((@list @t18 tptp.c))) % 49.43/49.67 (step @p52 :rule instantiate :premises (@p13) :args ((@list tptp.c @t22))) % 49.43/49.67 (step @p53 :rule instantiate :premises (@p13) :args ((@list @t19 tptp.b))) % 49.43/49.67 (step @p54 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.c))) % 49.43/49.67 (step @p55 :rule instantiate :premises (@p5) :args ((@list @t17 @t18))) % 49.43/49.67 (step @p56 :rule instantiate :premises (@p6) :args (@t40)) % 49.43/49.67 (step @p57 :rule instantiate :premises (@p6) :args ((@list tptp.a @t23))) % 49.43/49.67 (step @p58 :rule instantiate :premises (@p6) :args ((@list tptp.b @t17))) % 49.43/49.67 (step @p59 :rule instantiate :premises (@p6) :args ((@list tptp.b @t16))) % 49.43/49.67 (step @p60 :rule instantiate :premises (@p6) :args ((@list tptp.b @t18))) % 49.43/49.67 (step @p61 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.d tptp.a))) % 49.43/49.67 (step @p62 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.d tptp.c))) % 49.43/49.67 (step @p63 :rule instantiate :premises (@p7) :args ((@list @t22 tptp.a @t41))) % 49.43/49.67 (step @p64 :rule instantiate :premises (@p9) :args ((@list tptp.d tptp.c @t17 tptp.b))) % 49.43/49.67 (step @p65 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.a tptp.b tptp.d))) % 49.43/49.67 (step @p66 :rule instantiate :premises (@p18) :args ((@list tptp.d @t42))) % 49.43/49.67 (step @p67 :rule instantiate :premises (@p18) :args ((@list tptp.c @t43))) % 49.43/49.67 (step @p68 :rule instantiate :premises (@p18) :args (@t40)) % 49.43/49.67 (step @p69 :rule instantiate :premises (@p18) :args ((@list tptp.a @t44))) % 49.43/49.67 (step @p70 :rule instantiate :premises (@p13) :args ((@list @t47 tptp.d))) % 49.43/49.67 (step @p71 :rule instantiate :premises (@p8) :args ((@list @t17 @t16 @t48))) % 49.43/49.67 (step @p72 :rule eq-symm :args (@t50 @t51)) % 49.43/49.67 (step @p73 :rule refl :args (@t14)) % 49.43/49.67 (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t14 @t52))) % 49.43/49.67 (assume-push @p481 @t14) % 49.43/49.67 (step @p76 :rule instantiate :premises (@p8) :args (@t53)) % 49.43/49.67 (step-pop @p482 :rule scope :premises (@p76)) % 49.43/49.67 (step @p77 :rule process_scope :premises (@p482) :args (@t52)) % 49.43/49.67 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 49.43/49.67 (step @p80 :rule implies_elim :premises (@p79)) % 49.43/49.67 (step @p81 :rule chain_m_resolution :premises (@p80 @p8) :args (@t54 @t39 (@list @t14))) % 49.43/49.67 (step @p82 :rule instantiate :premises (@p13) :args ((@list @t23 tptp.a))) % 49.43/49.67 (step @p83 :rule instantiate :premises (@p5) :args (@t40)) % 49.43/49.67 (step @p84 :rule instantiate :premises (@p5) :args ((@list tptp.a @t19))) % 49.43/49.67 (step @p85 :rule instantiate :premises (@p5) :args ((@list @t57 @t55))) % 49.43/49.67 (step @p86 :rule instantiate :premises (@p5) :args ((@list @t58 @t51))) % 49.43/49.67 (step @p87 :rule instantiate :premises (@p6) :args (@t33)) % 49.43/49.67 (step @p88 :rule instantiate :premises (@p6) :args ((@list tptp.b @t21))) % 49.43/49.67 (step @p89 :rule instantiate :premises (@p6) :args ((@list tptp.b @t59))) % 49.43/49.67 (step @p90 :rule instantiate :premises (@p6) :args ((@list @t23 @t20))) % 49.43/49.67 (step @p91 :rule instantiate :premises (@p6) :args ((@list tptp.d @t62))) % 49.43/49.67 (step @p92 :rule instantiate :premises (@p8) :args ((@list @t17 @t63 tptp.b))) % 49.43/49.67 (step @p93 :rule instantiate :premises (@p8) :args ((@list tptp.a @t17 tptp.b))) % 49.43/49.67 (step @p94 :rule instantiate :premises (@p9) :args ((@list tptp.b @t23 tptp.a tptp.a))) % 49.43/49.67 (step @p95 :rule instantiate :premises (@p7) :args ((@list tptp.c @t43 tptp.a))) % 49.43/49.67 (step @p96 :rule instantiate :premises (@p7) :args ((@list @t47 @t55 tptp.a))) % 49.43/49.67 (step @p97 :rule instantiate :premises (@p13) :args ((@list @t58 @t19))) % 49.43/49.67 (step @p98 :rule instantiate :premises (@p8) :args ((@list tptp.a @t17 @t20))) % 49.43/49.67 (step @p99 :rule instantiate :premises (@p13) :args ((@list @t20 tptp.a))) % 49.43/49.67 (step @p100 :rule instantiate :premises (@p7) :args ((@list tptp.c @t65 tptp.d))) % 49.43/49.67 (step @p101 :rule instantiate :premises (@p7) :args ((@list tptp.c @t18 @t23))) % 49.43/49.67 (step @p102 :rule instantiate :premises (@p7) :args ((@list tptp.a @t51 @t58))) % 49.43/49.67 (step @p103 :rule instantiate :premises (@p7) :args ((@list @t19 @t20 @t41))) % 49.43/49.67 (step @p104 :rule instantiate :premises (@p13) :args ((@list @t19 tptp.d))) % 49.43/49.67 (step @p105 :rule instantiate :premises (@p13) :args ((@list @t21 tptp.b))) % 49.43/49.67 (step @p106 :rule instantiate :premises (@p8) :args ((@list tptp.b @t19 @t23))) % 49.43/49.67 (step @p107 :rule instantiate :premises (@p18) :args ((@list @t19 @t23))) % 49.43/49.67 (step @p108 :rule instantiate :premises (@p7) :args ((@list @t18 @t17 tptp.c))) % 49.43/49.67 (step @p109 :rule instantiate :premises (@p7) :args ((@list @t19 @t66 tptp.a))) % 49.43/49.67 (step @p110 :rule instantiate :premises (@p7) :args ((@list tptp.c @t18 @t67))) % 49.43/49.67 (step @p111 :rule instantiate :premises (@p9) :args ((@list tptp.b @t19 tptp.a tptp.a))) % 49.43/49.67 (assume-push @p483 @t69) % 49.43/49.67 (assume-push @p484 @t70) % 49.43/49.67 (assume-push @p485 @t72) % 49.43/49.67 (assume-push @p486 @t74) % 49.43/49.67 (assume-push @p487 @t76) % 49.43/49.67 (assume-push @p488 @t77) % 49.43/49.67 (assume-push @p489 @t79) % 49.43/49.67 (assume-push @p490 @t81) % 49.43/49.67 (assume-push @p491 @t83) % 49.43/49.67 (assume-push @p492 @t85) % 49.43/49.67 (assume-push @p493 @t86) % 49.43/49.67 (assume-push @p494 @t88) % 49.43/49.67 (assume-push @p495 @t89) % 49.43/49.67 (assume-push @p496 @t90) % 49.43/49.67 (assume-push @p497 @t92) % 49.43/49.67 (assume-push @p498 @t94) % 49.43/49.67 (assume-push @p499 @t38) % 49.43/49.67 (assume-push @p500 @t95) % 49.43/49.67 (assume-push @p501 @t96) % 49.43/49.67 (assume-push @p502 @t98) % 49.43/49.67 (assume-push @p503 @t101) % 49.43/49.67 (assume-push @p504 @t102) % 49.43/49.67 (assume-push @p505 @t104) % 49.43/49.67 (assume-push @p506 @t106) % 49.43/49.67 (assume-push @p507 @t107) % 49.43/49.67 (assume-push @p508 @t109) % 49.43/49.67 (assume-push @p509 @t111) % 49.43/49.67 (assume-push @p510 @t113) % 49.43/49.67 (assume-push @p511 @t115) % 49.43/49.67 (assume-push @p512 @t117) % 49.43/49.67 (assume-push @p513 @t119) % 49.43/49.67 (assume-push @p514 @t121) % 49.43/49.67 (assume-push @p515 @t123) % 49.43/49.67 (assume-push @p516 @t125) % 49.43/49.67 (assume-push @p517 @t126) % 49.43/49.67 (assume-push @p518 @t128) % 49.43/49.67 (assume-push @p519 @t131) % 49.43/49.67 (assume-push @p520 @t133) % 49.43/49.67 (assume-push @p521 @t135) % 49.43/49.67 (assume-push @p522 @t140) % 49.43/49.67 (assume-push @p523 @t143) % 49.43/49.67 (assume-push @p524 @t144) % 49.43/49.67 (assume-push @p525 @t147) % 49.43/49.67 (assume-push @p526 @t148) % 49.43/49.67 (assume-push @p527 @t149) % 49.43/49.67 (assume-push @p528 @t151) % 49.43/49.67 (assume-push @p529 @t54) % 49.43/49.67 (assume-push @p530 @t152) % 49.43/49.67 (assume-push @p531 @t154) % 49.43/49.67 (assume-push @p532 @t157) % 49.43/49.67 (assume-push @p533 @t159) % 49.43/49.67 (assume-push @p534 @t161) % 49.43/49.67 (assume-push @p535 @t163) % 49.43/49.67 (assume-push @p536 @t165) % 49.43/49.67 (assume-push @p537 @t166) % 49.43/49.67 (assume-push @p538 @t168) % 49.43/49.67 (assume-push @p539 @t170) % 49.43/49.67 (assume-push @p540 @t173) % 49.43/49.67 (assume-push @p541 @t175) % 49.43/49.67 (assume-push @p542 @t180) % 49.43/49.67 (assume-push @p543 @t183) % 49.43/49.67 (assume-push @p544 @t186) % 49.43/49.67 (assume-push @p545 @t189) % 49.43/49.67 (assume-push @p546 @t191) % 49.43/49.67 (assume-push @p547 @t192) % 49.43/49.67 (assume-push @p548 @t195) % 49.43/49.67 (assume-push @p549 @t197) % 49.43/49.67 (assume-push @p550 @t200) % 49.43/49.67 (assume-push @p551 @t203) % 49.43/49.67 (assume-push @p552 @t205) % 49.43/49.67 (assume-push @p553 @t206) % 49.43/49.67 (assume-push @p554 @t209) % 49.43/49.67 (assume-push @p555 @t210) % 49.43/49.67 (assume-push @p556 @t212) % 49.43/49.67 (assume-push @p557 @t214) % 49.43/49.67 (assume-push @p558 @t216) % 49.43/49.67 (assume-push @p559 @t221) % 49.43/49.67 (step @p189 :rule symm :premises (@p105)) % 49.43/49.67 (step @p190 :rule symm :premises (@p26)) % 49.43/49.67 (step @p191 :rule symm :premises (@p44)) % 49.43/49.67 (step @p192 :rule refl :args (tptp.a)) % 49.43/49.67 (step @p193 :rule cong :premises (@p192 @p43) :args (@t176)) % 49.43/49.67 (step @p194 :rule trans :premises (@p193 @p191)) % 49.43/49.67 (step @p195 :rule symm :premises (@p53)) % 49.43/49.67 (step @p196 :rule symm :premises (@p99)) % 49.43/49.67 (step @p197 :rule refl :args (@t20)) % 49.43/49.67 (step @p198 :rule symm :premises (@p19)) % 49.43/49.67 (step @p199 :rule cong :premises (@p198 @p197) :args (@t190)) % 49.43/49.67 (step @p200 :rule symm :premises (@p98)) % 49.43/49.67 (step @p201 :rule refl :args (@t19)) % 49.43/49.67 (step @p202 :rule symm :premises (@p21)) % 49.43/49.67 (step @p203 :rule cong :premises (@p202 @p201) :args (@t100)) % 49.43/49.67 (step @p204 :rule symm :premises (@p46)) % 49.43/49.67 (step @p205 :rule symm :premises (@p89)) % 49.43/49.67 (step @p206 :rule refl :args (tptp.b)) % 49.43/49.67 (step @p207 :rule symm :premises (@p29)) % 49.43/49.67 (step @p208 :rule refl :args (@t16)) % 49.43/49.67 (step @p209 :rule cong :premises (@p208 @p207) :args (@t63)) % 49.43/49.67 (step @p210 :rule cong :premises (@p209 @p206) :args (@t171)) % 49.43/49.67 (step @p211 :rule trans :premises (@p210 @p205 @p204 @p203)) % 49.43/49.67 (step @p212 :rule refl :args (@t17)) % 49.43/49.67 (step @p213 :rule cong :premises (@p212 @p211) :args (@t172)) % 49.43/49.67 (step @p214 :rule trans :premises (@p51 @p71)) % 49.43/49.67 (step @p215 :rule cong :premises (@p214 @p206) :args (@t44)) % 49.43/49.67 (step @p216 :rule symm :premises (@p32)) % 49.43/49.67 (step @p217 :rule cong :premises (@p206 @p216) :args (@t97)) % 49.43/49.67 (step @p218 :rule cong :premises (@p21 @p212) :args (@t122)) % 49.43/49.67 (step @p219 :rule trans :premises (@p218 @p45 @p217 @p60 @p215 @p92 @p213)) % 49.43/49.67 (step @p220 :rule cong :premises (@p192 @p219) :args ((tptp.join tptp.a @t122))) % 49.43/49.67 (step @p221 :rule symm :premises (@p58)) % 49.43/49.67 (step @p222 :rule cong :premises (@p192 @p221) :args (@t174)) % 49.43/49.67 (step @p223 :rule cong :premises (@p19 @p206) :args (@t41)) % 49.43/49.67 (step @p224 :rule trans :premises (@p223 @p93 @p222 @p220 @p200 @p199 @p87)) % 49.43/49.67 (step @p225 :rule cong :premises (@p197 @p224) :args (@t201)) % 49.43/49.67 (step @p226 :rule trans :premises (@p225 @p196 @p31)) % 49.43/49.67 (step @p227 :rule cong :premises (@p201 @p226) :args (@t202)) % 49.43/49.67 (step @p228 :rule symm :premises (@p56)) % 49.43/49.67 (step @p229 :rule symm :premises (@p31)) % 49.43/49.67 (step @p230 :rule cong :premises (@p201 @p229) :args (@t112)) % 49.43/49.67 (step @p231 :rule trans :premises (@p53 @p230)) % 49.43/49.67 (step @p232 :rule cong :premises (@p231 @p228) :args (@t217)) % 49.43/49.67 (step @p233 :rule trans :premises (@p232 @p103 @p227 @p195)) % 49.43/49.67 (step @p234 :rule cong :premises (@p206 @p233) :args (@t218)) % 49.43/49.67 (step @p235 :rule cong :premises (@p234 @p194) :args (@t219)) % 49.43/49.67 (step @p236 :rule trans :premises (@p235 @p190)) % 49.43/49.67 (step @p237 :rule cong :premises (@p206 @p236) :args (@t220)) % 49.43/49.67 (step @p238 :rule symm 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:premises (@p609)) % 49.43/49.67 (step-pop @p611 :rule scope :premises (@p610)) % 49.43/49.67 (step-pop @p612 :rule scope :premises (@p611)) % 49.43/49.67 (step-pop @p613 :rule scope :premises (@p612)) % 49.43/49.67 (step-pop @p614 :rule scope :premises (@p613)) % 49.43/49.67 (step-pop @p615 :rule scope :premises (@p614)) % 49.43/49.67 (step-pop @p616 :rule scope :premises (@p615)) % 49.43/49.67 (step-pop @p617 :rule scope :premises (@p616)) % 49.43/49.67 (step-pop @p618 :rule scope :premises (@p617)) % 49.43/49.67 (step-pop @p619 :rule scope :premises (@p618)) % 49.43/49.67 (step-pop @p620 :rule scope :premises (@p619)) % 49.43/49.67 (step-pop @p621 :rule scope :premises (@p620)) % 49.43/49.67 (step-pop @p622 :rule scope :premises (@p621)) % 49.43/49.67 (step-pop @p623 :rule scope :premises (@p622)) % 49.43/49.67 (step-pop @p624 :rule scope :premises (@p623)) % 49.43/49.67 (step-pop @p625 :rule scope :premises (@p624)) % 49.43/49.67 (step-pop @p626 :rule scope :premises (@p625)) % 49.43/49.67 (step-pop @p627 :rule scope :premises (@p626)) % 49.43/49.67 (step-pop @p628 :rule scope :premises (@p627)) % 49.43/49.67 (step-pop @p629 :rule scope :premises (@p628)) % 49.43/49.67 (step-pop @p630 :rule scope :premises (@p629)) % 49.43/49.67 (step-pop @p631 :rule scope :premises (@p630)) % 49.43/49.67 (step-pop @p632 :rule scope :premises (@p631)) % 49.43/49.67 (step-pop @p633 :rule scope :premises (@p632)) % 49.43/49.67 (step-pop @p634 :rule scope :premises (@p633)) % 49.43/49.67 (step-pop @p635 :rule scope :premises (@p634)) % 49.43/49.67 (step-pop @p636 :rule scope :premises (@p635)) % 49.43/49.67 (step @p396 :rule process_scope :premises (@p636) :args (@t26)) % 49.43/49.67 (step @p474 :rule implies_elim :premises (@p396)) % 49.43/49.67 (step @p475 :rule cnf_and_neg :args (@t227)) % 49.43/49.67 (step @p476 :rule resolution :premises (@p475 @p474) :args (true @t227)) % 49.43/49.67 (step @p477 :rule reordering :premises (@p476) :args ((or @t26 (not @t69) (not @t70) (not @t72) (not @t74) (not @t76) (not @t77) (not @t79) (not @t81) (not @t83) (not @t85) (not @t86) (not @t88) (not @t89) (not @t90) (not @t92) (not @t94) (not @t38) (not @t95) (not @t96) (not @t98) (not @t101) (not @t102) (not @t104) (not @t106) (not @t107) (not @t109) (not @t111) (not @t113) (not @t115) (not @t117) (not @t119) (not @t121) (not @t123) (not @t125) (not @t126) (not @t128) (not @t131) (not @t133) (not @t135) (not @t140) (not @t143) (not @t144) (not @t147) (not @t148) (not @t149) (not @t151) (not @t54) (not @t152) (not @t154) (not @t157) (not @t159) (not @t161) (not @t163) (not @t165) (not @t166) (not @t168) (not @t170) (not @t173) (not @t175) (not @t180) (not @t183) (not @t186) (not @t189) (not @t191) (not @t192) (not @t195) (not @t197) (not @t200) (not @t203) (not @t205) (not @t206) (not @t209) (not @t210) (not @t212) (not @t214) (not @t216) (not @t221)))) % 49.43/49.67 (step @p478 false :rule chain_m_resolution :premises (@p477 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @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 true) (@list @t221 @t216 @t214 @t212 @t210 @t209 @t206 @t205 @t203 @t200 @t197 @t195 @t192 @t191 @t189 @t186 @t183 @t180 @t175 @t173 @t170 @t168 @t166 @t165 @t163 @t161 @t159 @t157 @t154 @t152 @t54 @t151 @t149 @t148 @t147 @t144 @t143 @t140 @t135 @t133 @t131 @t128 @t126 @t125 @t123 @t121 @t119 @t117 @t115 @t113 @t111 @t109 @t107 @t106 @t104 @t102 @t101 @t98 @t96 @t95 @t38 @t94 @t92 @t90 @t89 @t88 @t86 @t85 @t83 @t81 @t79 @t77 @t76 @t74 @t72 @t70 @t69 @t26))) % 49.43/49.67 ) % 49.43/49.68 % SZS output end Proof % 49.43/49.68 % cvc5 exiting %------------------------------------------------------------------------------