%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP180-2 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:20:07 AM UTC 2026 % Result : Unsatisfiable 159.76s 160.08s % Output : Proof 159.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP180-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 00:54:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.71/15.97 --- Run --no-e-matching --full-saturate-quant at 6... % 21.70/22.00 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.71/28.02 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.83/34.06 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.27/64.54 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.33/79.82 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.95/113.29 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.14/128.44 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.54/158.88 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 159.76/160.08 % SZS status Unsatisfiable % 159.76/160.08 % SZS output start Proof % 159.76/160.09 ( % 159.76/160.09 (declare-sort $$unsorted 0) % 159.76/160.09 (declare-const tptp.a $$unsorted) % 159.76/160.09 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 159.76/160.09 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 159.76/160.09 (declare-const tptp.b $$unsorted) % 159.76/160.09 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 159.76/160.09 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 159.76/160.09 (declare-const tptp.identity $$unsorted) % 159.76/160.09 (define @t1 () (@var "X" $$unsorted)) % 159.76/160.09 (define @t2 () (tptp.multiply tptp.identity @t1)) % 159.76/160.09 (define @t3 () (@list @t1)) % 159.76/160.09 (define @t4 () (forall @t3 (= @t2 @t1))) % 159.76/160.09 (define @t5 () (tptp.inverse @t1)) % 159.76/160.09 (define @t6 () (tptp.multiply @t5 @t1)) % 159.76/160.09 (define @t7 () (forall @t3 (= @t6 tptp.identity))) % 159.76/160.09 (define @t8 () (@var "Z" $$unsorted)) % 159.76/160.09 (define @t9 () (@var "Y" $$unsorted)) % 159.76/160.09 (define @t10 () (tptp.multiply @t1 @t9)) % 159.76/160.09 (define @t11 () (@list @t1 @t9 @t8)) % 159.76/160.09 (define @t12 () (forall @t11 (= (tptp.multiply @t10 @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8))))) % 159.76/160.09 (define @t13 () (tptp.greatest_lower_bound @t1 @t9)) % 159.76/160.09 (define @t14 () (@list @t1 @t9)) % 159.76/160.09 (define @t15 () (tptp.least_upper_bound @t1 @t9)) % 159.76/160.09 (define @t16 () (forall @t14 (= @t15 (tptp.least_upper_bound @t9 @t1)))) % 159.76/160.09 (define @t17 () (tptp.greatest_lower_bound @t9 @t8)) % 159.76/160.09 (define @t18 () (tptp.least_upper_bound @t9 @t8)) % 159.76/160.09 (define @t19 () (tptp.least_upper_bound @t1 @t13)) % 159.76/160.09 (define @t20 () (forall @t14 (= @t19 @t1))) % 159.76/160.09 (define @t21 () (tptp.greatest_lower_bound @t1 @t15)) % 159.76/160.09 (define @t22 () (forall @t14 (= @t21 @t1))) % 159.76/160.09 (define @t23 () (tptp.multiply @t1 @t8)) % 159.76/160.09 (define @t24 () (tptp.multiply @t8 @t1)) % 159.76/160.09 (define @t25 () (tptp.multiply @t9 @t1)) % 159.76/160.09 (define @t26 () (@list @t9 @t8 @t1)) % 159.76/160.09 (define @t27 () (tptp.inverse tptp.identity)) % 159.76/160.09 (define @t28 () (tptp.inverse @t5)) % 159.76/160.09 (define @t29 () (forall @t3 (= @t28 @t1))) % 159.76/160.09 (define @t30 () (forall @t14 (= (tptp.inverse @t10) (tptp.multiply (tptp.inverse @t9) @t5)))) % 159.76/160.09 (define @t31 () (tptp.least_upper_bound tptp.a tptp.b)) % 159.76/160.09 (define @t32 () (tptp.greatest_lower_bound tptp.a tptp.b)) % 159.76/160.09 (define @t33 () (tptp.inverse @t32)) % 159.76/160.09 (define @t34 () (tptp.multiply @t33 tptp.b)) % 159.76/160.09 (define @t35 () (tptp.multiply tptp.a @t34)) % 159.76/160.09 (define @t36 () (= @t35 @t31)) % 159.76/160.09 (define @t37 () (@list @t32)) % 159.76/160.09 (define @t38 () (tptp.multiply tptp.a @t33)) % 159.76/160.09 (define @t39 () (tptp.multiply @t38 tptp.b)) % 159.76/160.09 (define @t40 () (= @t39 @t35)) % 159.76/160.09 (define @t41 () (@list tptp.a @t33 tptp.b)) % 159.76/160.09 (define @t42 () (= @t35 @t39)) % 159.76/160.09 (define @t43 () (@list false)) % 159.76/160.09 (define @t44 () (@list @t12)) % 159.76/160.09 (define @t45 () (@list tptp.a tptp.b)) % 159.76/160.09 (define @t46 () (@list tptp.a)) % 159.76/160.09 (define @t47 () (tptp.inverse tptp.a)) % 159.76/160.09 (define @t48 () (@list @t47)) % 159.76/160.09 (define @t49 () (@list tptp.b tptp.a)) % 159.76/160.09 (define @t50 () (@list tptp.b)) % 159.76/160.09 (define @t51 () (tptp.least_upper_bound tptp.b @t32)) % 159.76/160.09 (define @t52 () (tptp.least_upper_bound @t32 tptp.b)) % 159.76/160.09 (define @t53 () (= @t51 @t52)) % 159.76/160.09 (define @t54 () (@list tptp.b @t32)) % 159.76/160.09 (define @t55 () (= @t52 @t51)) % 159.76/160.09 (define @t56 () (tptp.inverse @t47)) % 159.76/160.09 (define @t57 () (@list @t33)) % 159.76/160.09 (define @t58 () (tptp.inverse tptp.b)) % 159.76/160.09 (define @t59 () (tptp.multiply @t31 @t34)) % 159.76/160.09 (define @t60 () (tptp.multiply @t32 @t33)) % 159.76/160.09 (define @t61 () (tptp.multiply @t60 tptp.b)) % 159.76/160.09 (define @t62 () (tptp.multiply @t32 @t34)) % 159.76/160.09 (define @t63 () (= @t61 @t62)) % 159.76/160.09 (define @t64 () (= @t62 @t61)) % 159.76/160.09 (define @t65 () (tptp.multiply tptp.identity tptp.a)) % 159.76/160.09 (define @t66 () (tptp.inverse @t65)) % 159.76/160.09 (define @t67 () (tptp.multiply @t47 @t27)) % 159.76/160.09 (define @t68 () (= @t66 @t67)) % 159.76/160.09 (define @t69 () (@list tptp.identity tptp.a)) % 159.76/160.09 (define @t70 () (= @t67 @t66)) % 159.76/160.09 (define @t71 () (tptp.multiply @t32 @t47)) % 159.76/160.09 (define @t72 () (tptp.least_upper_bound @t33 @t47)) % 159.76/160.09 (define @t73 () (tptp.multiply tptp.b @t47)) % 159.76/160.09 (define @t74 () (tptp.multiply tptp.a @t47)) % 159.76/160.09 (define @t75 () (tptp.multiply @t33 tptp.a)) % 159.76/160.09 (define @t76 () (tptp.multiply @t38 @t32)) % 159.76/160.09 (define @t77 () (tptp.multiply @t38 @t31)) % 159.76/160.09 (define @t78 () (tptp.greatest_lower_bound @t58 @t47)) % 159.76/160.09 (define @t79 () (tptp.inverse @t58)) % 159.76/160.09 (define @t80 () (tptp.multiply @t33 @t31)) % 159.76/160.09 (define @t81 () (= tptp.identity @t27)) % 159.76/160.09 (define @t82 () (= tptp.identity (tptp.multiply @t27 tptp.identity))) % 159.76/160.09 (define @t83 () (tptp.multiply @t33 @t32)) % 159.76/160.09 (define @t84 () (= tptp.identity @t83)) % 159.76/160.09 (define @t85 () (tptp.greatest_lower_bound tptp.b tptp.a)) % 159.76/160.09 (define @t86 () (= @t32 @t85)) % 159.76/160.09 (define @t87 () (tptp.least_upper_bound tptp.b tptp.a)) % 159.76/160.09 (define @t88 () (= @t31 @t87)) % 159.76/160.09 (define @t89 () (tptp.least_upper_bound tptp.a @t32)) % 159.76/160.09 (define @t90 () (= tptp.a @t89)) % 159.76/160.09 (define @t91 () (tptp.greatest_lower_bound tptp.a @t31)) % 159.76/160.09 (define @t92 () (= tptp.a @t91)) % 159.76/160.09 (define @t93 () (tptp.multiply @t47 tptp.a)) % 159.76/160.09 (define @t94 () (= tptp.identity @t93)) % 159.76/160.09 (define @t95 () (= tptp.a @t56)) % 159.76/160.09 (define @t96 () (tptp.multiply @t56 @t47)) % 159.76/160.09 (define @t97 () (= tptp.identity @t96)) % 159.76/160.09 (define @t98 () (tptp.least_upper_bound tptp.b @t85)) % 159.76/160.09 (define @t99 () (= tptp.b @t98)) % 159.76/160.09 (define @t100 () (tptp.greatest_lower_bound tptp.b @t87)) % 159.76/160.09 (define @t101 () (= tptp.b @t100)) % 159.76/160.09 (define @t102 () (tptp.multiply @t47 @t32)) % 159.76/160.09 (define @t103 () (tptp.multiply @t47 @t89)) % 159.76/160.09 (define @t104 () (= @t103 (tptp.least_upper_bound @t93 @t102))) % 159.76/160.09 (define @t105 () (tptp.least_upper_bound @t35 @t62)) % 159.76/160.09 (define @t106 () (= (tptp.multiply @t89 @t34) @t105)) % 159.76/160.09 (define @t107 () (tptp.least_upper_bound @t38 @t60)) % 159.76/160.09 (define @t108 () (= (tptp.multiply @t89 @t33) @t107)) % 159.76/160.09 (define @t109 () (tptp.greatest_lower_bound @t35 @t59)) % 159.76/160.09 (define @t110 () (= (tptp.multiply @t91 @t34) @t109)) % 159.76/160.09 (define @t111 () (tptp.inverse @t71)) % 159.76/160.09 (define @t112 () (= @t111 (tptp.multiply @t56 @t33))) % 159.76/160.09 (define @t113 () (= tptp.a @t65)) % 159.76/160.09 (define @t114 () (tptp.multiply @t58 tptp.b)) % 159.76/160.09 (define @t115 () (= tptp.identity @t114)) % 159.76/160.09 (define @t116 () (= tptp.b @t79)) % 159.76/160.09 (define @t117 () (= @t47 (tptp.multiply tptp.identity @t47))) % 159.76/160.09 (define @t118 () (tptp.multiply @t96 tptp.a)) % 159.76/160.09 (define @t119 () (= @t118 (tptp.multiply @t56 @t93))) % 159.76/160.09 (define @t120 () (tptp.greatest_lower_bound @t31 tptp.b)) % 159.76/160.09 (define @t121 () (= @t120 (tptp.greatest_lower_bound tptp.b @t31))) % 159.76/160.09 (define @t122 () (tptp.inverse @t33)) % 159.76/160.09 (define @t123 () (= @t32 @t122)) % 159.76/160.09 (define @t124 () (= tptp.identity (tptp.multiply @t122 @t33))) % 159.76/160.09 (define @t125 () (tptp.multiply @t79 @t58)) % 159.76/160.09 (define @t126 () (= tptp.identity @t125)) % 159.76/160.09 (define @t127 () (tptp.greatest_lower_bound @t59 @t35)) % 159.76/160.09 (define @t128 () (= @t109 @t127)) % 159.76/160.09 (define @t129 () (tptp.multiply @t32 @t75)) % 159.76/160.09 (define @t130 () (tptp.multiply @t60 tptp.a)) % 159.76/160.09 (define @t131 () (= @t130 @t129)) % 159.76/160.09 (define @t132 () (tptp.least_upper_bound @t62 @t35)) % 159.76/160.09 (define @t133 () (= @t105 @t132)) % 159.76/160.09 (define @t134 () (tptp.least_upper_bound @t76 @t39)) % 159.76/160.09 (define @t135 () (= (tptp.multiply @t38 @t52) @t134)) % 159.76/160.09 (define @t136 () (tptp.multiply tptp.a @t72)) % 159.76/160.09 (define @t137 () (= @t136 (tptp.least_upper_bound @t38 @t74))) % 159.76/160.09 (define @t138 () (tptp.greatest_lower_bound @t77 @t39)) % 159.76/160.09 (define @t139 () (= (tptp.multiply @t38 @t120) @t138)) % 159.76/160.09 (define @t140 () (tptp.multiply @t47 tptp.b)) % 159.76/160.09 (define @t141 () (= @t102 (tptp.greatest_lower_bound @t93 @t140))) % 159.76/160.09 (define @t142 () (tptp.multiply tptp.b @t34)) % 159.76/160.09 (define @t143 () (tptp.least_upper_bound @t35 @t142)) % 159.76/160.09 (define @t144 () (= @t59 @t143)) % 159.76/160.09 (define @t145 () (tptp.least_upper_bound @t83 @t102)) % 159.76/160.09 (define @t146 () (tptp.multiply @t72 @t32)) % 159.76/160.09 (define @t147 () (= @t146 @t145)) % 159.76/160.09 (define @t148 () (tptp.greatest_lower_bound @t74 @t73)) % 159.76/160.09 (define @t149 () (= @t71 @t148)) % 159.76/160.09 (define @t150 () (tptp.multiply @t58 @t71)) % 159.76/160.09 (define @t151 () (tptp.inverse @t150)) % 159.76/160.09 (define @t152 () (= @t151 (tptp.multiply @t111 @t79))) % 159.76/160.09 (define @t153 () (tptp.multiply @t33 @t56)) % 159.76/160.09 (define @t154 () (= (tptp.inverse @t102) @t153)) % 159.76/160.09 (define @t155 () (tptp.multiply @t33 @t60)) % 159.76/160.09 (define @t156 () (= (tptp.multiply @t83 @t33) @t155)) % 159.76/160.09 (define @t157 () (tptp.multiply tptp.a @t83)) % 159.76/160.09 (define @t158 () (= @t76 @t157)) % 159.76/160.09 (define @t159 () (tptp.multiply tptp.identity @t33)) % 159.76/160.09 (define @t160 () (= @t33 @t159)) % 159.76/160.09 (define @t161 () (= tptp.b (tptp.multiply tptp.identity tptp.b))) % 159.76/160.09 (define @t162 () (tptp.multiply @t72 @t31)) % 159.76/160.09 (define @t163 () (tptp.multiply tptp.a @t162)) % 159.76/160.09 (define @t164 () (= (tptp.multiply @t136 @t31) @t163)) % 159.76/160.09 (define @t165 () (tptp.inverse @t61)) % 159.76/160.09 (define @t166 () (= @t165 (tptp.multiply @t58 (tptp.inverse @t60)))) % 159.76/160.09 (define @t167 () (tptp.greatest_lower_bound @t114 @t140)) % 159.76/160.09 (define @t168 () (tptp.multiply @t78 tptp.b)) % 159.76/160.09 (define @t169 () (= @t168 @t167)) % 159.76/160.09 (define @t170 () (tptp.multiply @t72 tptp.identity)) % 159.76/160.09 (define @t171 () (= @t170 (tptp.least_upper_bound (tptp.multiply @t33 tptp.identity) (tptp.multiply @t47 tptp.identity)))) % 159.76/160.09 (define @t172 () (tptp.multiply @t58 @t73)) % 159.76/160.09 (define @t173 () (tptp.multiply @t58 @t74)) % 159.76/160.09 (define @t174 () (tptp.greatest_lower_bound @t173 @t172)) % 159.76/160.09 (define @t175 () (= (tptp.multiply @t58 @t148) @t174)) % 159.76/160.09 (define @t176 () (tptp.least_upper_bound @t75 @t34)) % 159.76/160.09 (define @t177 () (= @t80 @t176)) % 159.76/160.09 (define @t178 () (tptp.least_upper_bound @t129 @t62)) % 159.76/160.09 (define @t179 () (= (tptp.multiply @t32 @t176) @t178)) % 159.76/160.09 (define @t180 () (tptp.least_upper_bound @t62 @t76)) % 159.76/160.09 (define @t181 () (tptp.least_upper_bound @t180 @t39)) % 159.76/160.09 (define @t182 () (= (tptp.least_upper_bound @t62 @t134) @t181)) % 159.76/160.09 (define @t183 () (tptp.greatest_lower_bound @t59 @t77)) % 159.76/160.09 (define @t184 () (tptp.greatest_lower_bound @t183 @t39)) % 159.76/160.09 (define @t185 () (= (tptp.greatest_lower_bound @t59 @t138) @t184)) % 159.76/160.09 (define @t186 () (tptp.multiply tptp.identity @t35)) % 159.76/160.09 (define @t187 () (= @t35 @t186)) % 159.76/160.09 (define @t188 () (tptp.multiply @t146 @t33)) % 159.76/160.09 (define @t189 () (= @t188 (tptp.multiply @t72 @t60))) % 159.76/160.09 (define @t190 () (tptp.multiply @t114 @t47)) % 159.76/160.09 (define @t191 () (= @t190 @t172)) % 159.76/160.09 (define @t192 () (= @t31 (tptp.greatest_lower_bound @t31 (tptp.least_upper_bound @t31 @t39)))) % 159.76/160.09 (define @t193 () (tptp.inverse @t168)) % 159.76/160.09 (define @t194 () (= @t193 (tptp.multiply @t58 (tptp.inverse @t78)))) % 159.76/160.09 (define @t195 () (tptp.multiply @t58 @t35)) % 159.76/160.09 (define @t196 () (tptp.multiply @t79 @t195)) % 159.76/160.09 (define @t197 () (= (tptp.multiply @t125 @t35) @t196)) % 159.76/160.09 (define @t198 () (tptp.multiply tptp.b @t176)) % 159.76/160.09 (define @t199 () (= @t198 (tptp.least_upper_bound (tptp.multiply tptp.b @t75) @t142))) % 159.76/160.09 (define @t200 () (tptp.multiply @t85 @t80)) % 159.76/160.09 (define @t201 () (= @t200 (tptp.greatest_lower_bound (tptp.multiply tptp.b @t80) (tptp.multiply tptp.a @t80)))) % 159.76/160.09 (define @t202 () (tptp.multiply tptp.identity tptp.identity)) % 159.76/160.09 (define @t203 () (tptp.multiply @t32 @t80)) % 159.76/160.09 (define @t204 () (and @t81 @t82 @t84 @t42 @t86 @t88 @t90 @t92 @t94 @t95 @t97 @t99 @t101 @t104 @t106 @t108 @t110 @t112 @t113 @t115 @t55 @t116 @t117 @t119 @t121 @t123 @t124 @t126 @t128 @t131 @t64 @t133 @t135 @t137 @t139 @t141 @t144 @t147 @t149 @t70 @t152 @t154 @t156 @t158 @t160 @t161 @t164 @t166 @t169 @t171 @t175 @t177 @t179 @t182 @t185 @t187 @t189 @t191 @t192 @t194 @t197 @t199 @t201)) % 159.76/160.09 (assume @p1 @t4) % 159.76/160.09 (assume @p2 @t7) % 159.76/160.09 (assume @p3 @t12) % 159.76/160.09 (assume @p4 (forall @t14 (= @t13 (tptp.greatest_lower_bound @t9 @t1)))) % 159.76/160.09 (assume @p5 @t16) % 159.76/160.09 (assume @p6 (forall @t11 (= (tptp.greatest_lower_bound @t1 @t17) (tptp.greatest_lower_bound @t13 @t8)))) % 159.76/160.09 (assume @p7 (forall @t11 (= (tptp.least_upper_bound @t1 @t18) (tptp.least_upper_bound @t15 @t8)))) % 159.76/160.09 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 159.76/160.09 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 159.76/160.09 (assume @p10 @t20) % 159.76/160.09 (assume @p11 @t22) % 159.76/160.09 (assume @p12 (forall @t11 (= (tptp.multiply @t1 @t18) (tptp.least_upper_bound @t10 @t23)))) % 159.76/160.09 (assume @p13 (forall @t11 (= (tptp.multiply @t1 @t17) (tptp.greatest_lower_bound @t10 @t23)))) % 159.76/160.09 (assume @p14 (forall @t26 (= (tptp.multiply @t18 @t1) (tptp.least_upper_bound @t25 @t24)))) % 159.76/160.09 (assume @p15 (forall @t26 (= (tptp.multiply @t17 @t1) (tptp.greatest_lower_bound @t25 @t24)))) % 159.76/160.09 (assume @p16 (= @t27 tptp.identity)) % 159.76/160.09 (assume @p17 @t29) % 159.76/160.09 (assume @p18 @t30) % 159.76/160.09 (assume @p19 (not @t36)) % 159.76/160.09 (step @p20 :rule symm :premises (@p16)) % 159.76/160.09 (step @p21 :rule eq-symm :args (@t6 tptp.identity)) % 159.76/160.09 (step @p22 :rule cong :premises (@p21) :args (@t7)) % 159.76/160.09 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 159.76/160.09 (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.identity))) % 159.76/160.09 (step @p25 :rule instantiate :premises (@p23) :args (@t37)) % 159.76/160.09 (step @p26 :rule eq-symm :args (@t39 @t35)) % 159.76/160.09 (step @p27 :rule refl :args (@t12)) % 159.76/160.09 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t12 @t40))) % 159.76/160.09 (assume-push @p427 @t12) % 159.76/160.09 (step @p30 :rule instantiate :premises (@p3) :args (@t41)) % 159.76/160.09 (step-pop @p428 :rule scope :premises (@p30)) % 159.76/160.09 (step @p31 :rule process_scope :premises (@p428) :args (@t40)) % 159.76/160.09 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 159.76/160.09 (step @p34 :rule implies_elim :premises (@p33)) % 159.76/160.09 (step @p35 :rule chain_m_resolution :premises (@p34 @p3) :args (@t42 @t43 @t44)) % 159.76/160.09 (step @p36 :rule instantiate :premises (@p4) :args (@t45)) % 159.76/160.09 (step @p37 :rule instantiate :premises (@p5) :args (@t45)) % 159.76/160.09 (step @p38 :rule eq-symm :args (@t19 @t1)) % 159.76/160.09 (step @p39 :rule cong :premises (@p38) :args (@t20)) % 159.76/160.09 (step @p40 :rule eq_resolve :premises (@p10 @p39)) % 159.76/160.09 (step @p41 :rule instantiate :premises (@p40) :args (@t45)) % 159.76/160.09 (step @p42 :rule eq-symm :args (@t21 @t1)) % 159.76/160.09 (step @p43 :rule cong :premises (@p42) :args (@t22)) % 159.76/160.09 (step @p44 :rule eq_resolve :premises (@p11 @p43)) % 159.76/160.09 (step @p45 :rule instantiate :premises (@p44) :args (@t45)) % 159.76/160.09 (step @p46 :rule instantiate :premises (@p23) :args (@t46)) % 159.76/160.09 (step @p47 :rule eq-symm :args (@t28 @t1)) % 159.76/160.09 (step @p48 :rule cong :premises (@p47) :args (@t29)) % 159.76/160.09 (step @p49 :rule eq_resolve :premises (@p17 @p48)) % 159.76/160.09 (step @p50 :rule instantiate :premises (@p49) :args (@t46)) % 159.76/160.09 (step @p51 :rule instantiate :premises (@p23) :args (@t48)) % 159.76/160.09 (step @p52 :rule instantiate :premises (@p40) :args (@t49)) % 159.76/160.09 (step @p53 :rule instantiate :premises (@p44) :args (@t49)) % 159.76/160.09 (step @p54 :rule instantiate :premises (@p12) :args ((@list @t47 tptp.a @t32))) % 159.76/160.09 (step @p55 :rule instantiate :premises (@p14) :args ((@list tptp.a @t32 @t34))) % 159.76/160.09 (step @p56 :rule instantiate :premises (@p14) :args ((@list tptp.a @t32 @t33))) % 159.76/160.09 (step @p57 :rule instantiate :premises (@p15) :args ((@list tptp.a @t31 @t34))) % 159.76/160.09 (step @p58 :rule instantiate :premises (@p18) :args ((@list @t32 @t47))) % 159.76/160.09 (step @p59 :rule eq-symm :args (@t2 @t1)) % 159.76/160.09 (step @p60 :rule cong :premises (@p59) :args (@t4)) % 159.76/160.09 (step @p61 :rule eq_resolve :premises (@p1 @p60)) % 159.76/160.09 (step @p62 :rule instantiate :premises (@p61) :args (@t46)) % 159.76/160.09 (step @p63 :rule instantiate :premises (@p23) :args (@t50)) % 159.76/160.09 (step @p64 :rule eq-symm :args (@t51 @t52)) % 159.76/160.09 (step @p65 :rule refl :args (@t16)) % 159.76/160.09 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t16 @t53))) % 159.76/160.09 (assume-push @p429 @t16) % 159.76/160.09 (step @p68 :rule instantiate :premises (@p5) :args (@t54)) % 159.76/160.09 (step-pop @p430 :rule scope :premises (@p68)) % 159.76/160.09 (step @p69 :rule process_scope :premises (@p430) :args (@t53)) % 159.76/160.09 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 159.76/160.09 (step @p72 :rule implies_elim :premises (@p71)) % 159.76/160.09 (step @p73 :rule chain_m_resolution :premises (@p72 @p5) :args (@t55 @t43 (@list @t16))) % 159.76/160.09 (step @p74 :rule instantiate :premises (@p49) :args (@t50)) % 159.76/160.09 (step @p75 :rule instantiate :premises (@p61) :args (@t48)) % 159.76/160.09 (step @p76 :rule instantiate :premises (@p3) :args ((@list @t56 @t47 tptp.a))) % 159.76/160.09 (step @p77 :rule instantiate :premises (@p4) :args ((@list @t31 tptp.b))) % 159.76/160.09 (step @p78 :rule instantiate :premises (@p49) :args (@t37)) % 159.76/160.09 (step @p79 :rule instantiate :premises (@p23) :args (@t57)) % 159.76/160.09 (step @p80 :rule instantiate :premises (@p23) :args ((@list @t58))) % 159.76/160.09 (step @p81 :rule instantiate :premises (@p4) :args ((@list @t35 @t59))) % 159.76/160.09 (step @p82 :rule instantiate :premises (@p3) :args ((@list @t32 @t33 tptp.a))) % 159.76/160.09 (step @p83 :rule eq-symm :args (@t61 @t62)) % 159.76/160.09 (step @p84 :rule cong :premises (@p27 @p83) :args ((=> @t12 @t63))) % 159.76/160.09 (assume-push @p431 @t12) % 159.76/160.09 (step @p86 :rule instantiate :premises (@p3) :args ((@list @t32 @t33 tptp.b))) % 159.76/160.09 (step-pop @p432 :rule scope :premises (@p86)) % 159.76/160.09 (step @p87 :rule process_scope :premises (@p432) :args (@t63)) % 159.76/160.09 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 159.76/160.09 (step @p90 :rule implies_elim :premises (@p89)) % 159.76/160.09 (step @p91 :rule chain_m_resolution :premises (@p90 @p3) :args (@t64 @t43 @t44)) % 159.76/160.09 (step @p92 :rule instantiate :premises (@p5) :args ((@list @t35 @t62))) % 159.76/160.09 (step @p93 :rule instantiate :premises (@p12) :args ((@list @t38 @t32 tptp.b))) % 159.76/160.09 (step @p94 :rule instantiate :premises (@p12) :args ((@list tptp.a @t33 @t47))) % 159.76/160.09 (step @p95 :rule instantiate :premises (@p13) :args ((@list @t38 @t31 tptp.b))) % 159.76/160.09 (step @p96 :rule instantiate :premises (@p13) :args ((@list @t47 tptp.a tptp.b))) % 159.76/160.09 (step @p97 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.b @t34))) % 159.76/160.09 (step @p98 :rule instantiate :premises (@p14) :args ((@list @t33 @t47 @t32))) % 159.76/160.09 (step @p99 :rule instantiate :premises (@p15) :args ((@list tptp.a tptp.b @t47))) % 159.76/160.09 (step @p100 :rule eq-symm :args (@t66 @t67)) % 159.76/160.09 (step @p101 :rule refl :args (@t30)) % 159.76/160.09 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t30 @t68))) % 159.76/160.09 (assume-push @p433 @t30) % 159.76/160.09 (step @p104 :rule instantiate :premises (@p18) :args (@t69)) % 159.76/160.09 (step-pop @p434 :rule scope :premises (@p104)) % 159.76/160.09 (step @p105 :rule process_scope :premises (@p434) :args (@t68)) % 159.76/160.09 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 159.76/160.09 (step @p108 :rule implies_elim :premises (@p107)) % 159.76/160.09 (step @p109 :rule chain_m_resolution :premises (@p108 @p18) :args (@t70 @t43 (@list @t30))) % 159.76/160.09 (step @p110 :rule instantiate :premises (@p18) :args ((@list @t58 @t71))) % 159.76/160.09 (step @p111 :rule instantiate :premises (@p18) :args ((@list @t47 @t32))) % 159.76/160.09 (step @p112 :rule instantiate :premises (@p3) :args ((@list @t33 @t32 @t33))) % 159.76/160.09 (step @p113 :rule instantiate :premises (@p3) :args ((@list tptp.a @t33 @t32))) % 159.76/160.09 (step @p114 :rule instantiate :premises (@p61) :args (@t57)) % 159.76/160.09 (step @p115 :rule instantiate :premises (@p61) :args (@t50)) % 159.76/160.09 (step @p116 :rule instantiate :premises (@p3) :args ((@list tptp.a @t72 @t31))) % 159.76/160.09 (step @p117 :rule instantiate :premises (@p18) :args ((@list @t60 tptp.b))) % 159.76/160.09 (step @p118 :rule instantiate :premises (@p15) :args ((@list @t58 @t47 tptp.b))) % 159.76/160.09 (step @p119 :rule instantiate :premises (@p14) :args ((@list @t33 @t47 tptp.identity))) % 159.76/160.09 (step @p120 :rule instantiate :premises (@p13) :args ((@list @t58 @t74 @t73))) % 159.76/160.09 (step @p121 :rule instantiate :premises (@p12) :args ((@list @t33 tptp.a tptp.b))) % 159.76/160.09 (step @p122 :rule instantiate :premises (@p12) :args ((@list @t32 @t75 @t34))) % 159.76/160.09 (step @p123 :rule instantiate :premises (@p7) :args ((@list @t62 @t76 @t39))) % 159.76/160.09 (step @p124 :rule instantiate :premises (@p6) :args ((@list @t59 @t77 @t39))) % 159.76/160.09 (step @p125 :rule instantiate :premises (@p61) :args ((@list @t35))) % 159.76/160.09 (step @p126 :rule instantiate :premises (@p3) :args ((@list @t72 @t32 @t33))) % 159.76/160.09 (step @p127 :rule instantiate :premises (@p3) :args ((@list @t58 tptp.b @t47))) % 159.76/160.09 (step @p128 :rule instantiate :premises (@p44) :args ((@list @t31 @t39))) % 159.76/160.09 (step @p129 :rule instantiate :premises (@p18) :args ((@list @t78 tptp.b))) % 159.76/160.09 (step @p130 :rule instantiate :premises (@p3) :args ((@list @t79 @t58 @t35))) % 159.76/160.09 (step @p131 :rule instantiate :premises (@p12) :args ((@list tptp.b @t75 @t34))) % 159.76/160.09 (step @p132 :rule instantiate :premises (@p15) :args ((@list tptp.b tptp.a @t80))) % 159.76/160.09 (assume-push @p435 @t81) % 159.76/160.09 (assume-push @p436 @t82) % 159.76/160.09 (assume-push @p437 @t84) % 159.76/160.09 (assume-push @p438 @t42) % 159.76/160.09 (assume-push @p439 @t86) % 159.76/160.09 (assume-push @p440 @t88) % 159.76/160.09 (assume-push @p441 @t90) % 159.76/160.09 (assume-push @p442 @t92) % 159.76/160.09 (assume-push @p443 @t94) % 159.76/160.09 (assume-push @p444 @t95) % 159.76/160.09 (assume-push @p445 @t97) % 159.76/160.09 (assume-push @p446 @t99) % 159.76/160.09 (assume-push @p447 @t101) % 159.76/160.09 (assume-push @p448 @t104) % 159.76/160.09 (assume-push @p449 @t106) % 159.76/160.09 (assume-push @p450 @t108) % 159.76/160.09 (assume-push @p451 @t110) % 159.76/160.09 (assume-push @p452 @t112) % 159.76/160.09 (assume-push @p453 @t113) % 159.76/160.09 (assume-push @p454 @t115) % 159.76/160.09 (assume-push @p455 @t55) % 159.76/160.09 (assume-push @p456 @t116) % 159.76/160.09 (assume-push @p457 @t117) % 159.76/160.09 (assume-push @p458 @t119) % 159.76/160.09 (assume-push @p459 @t121) % 159.76/160.09 (assume-push @p460 @t123) % 159.76/160.09 (assume-push @p461 @t124) % 159.76/160.09 (assume-push @p462 @t126) % 159.76/160.09 (assume-push @p463 @t128) % 159.76/160.09 (assume-push @p464 @t131) % 159.76/160.09 (assume-push @p465 @t64) % 159.76/160.09 (assume-push @p466 @t133) % 159.76/160.09 (assume-push @p467 @t135) % 159.76/160.09 (assume-push @p468 @t137) % 159.76/160.09 (assume-push @p469 @t139) % 159.76/160.09 (assume-push @p470 @t141) % 159.76/160.09 (assume-push @p471 @t144) % 159.76/160.09 (assume-push @p472 @t147) % 159.76/160.09 (assume-push @p473 @t149) % 159.76/160.09 (assume-push @p474 @t70) % 159.76/160.09 (assume-push @p475 @t152) % 159.76/160.09 (assume-push @p476 @t154) % 159.76/160.09 (assume-push @p477 @t156) % 159.76/160.09 (assume-push @p478 @t158) % 159.76/160.09 (assume-push @p479 @t160) % 159.76/160.09 (assume-push @p480 @t161) % 159.76/160.09 (assume-push @p481 @t164) % 159.76/160.09 (assume-push @p482 @t166) % 159.76/160.09 (assume-push @p483 @t169) % 159.76/160.09 (assume-push @p484 @t171) % 159.76/160.09 (assume-push @p485 @t175) % 159.76/160.09 (assume-push @p486 @t177) % 159.76/160.09 (assume-push @p487 @t179) % 159.76/160.09 (assume-push @p488 @t182) % 159.76/160.09 (assume-push @p489 @t185) % 159.76/160.09 (assume-push @p490 @t187) % 159.76/160.09 (assume-push @p491 @t189) % 159.76/160.09 (assume-push @p492 @t191) % 159.76/160.09 (assume-push @p493 @t192) % 159.76/160.09 (assume-push @p494 @t194) % 159.76/160.09 (assume-push @p495 @t197) % 159.76/160.09 (assume-push @p496 @t199) % 159.76/160.09 (assume-push @p497 @t201) % 159.76/160.09 (step @p196 :rule symm :premises (@p128)) % 159.76/160.09 (step @p197 :rule refl :args (@t39)) % 159.76/160.09 (step @p198 :rule symm :premises (@p37)) % 159.76/160.09 (step @p199 :rule symm :premises (@p41)) % 159.76/160.09 (step @p200 :rule refl :args (tptp.b)) % 159.76/160.09 (step @p201 :rule cong :premises (@p200 @p199) :args ((tptp.least_upper_bound tptp.b @t89))) % 159.76/160.09 (step @p202 :rule symm :premises (@p62)) % 159.76/160.09 (step @p203 :rule refl :args (tptp.a)) % 159.76/160.09 (step @p204 :rule symm :premises (@p51)) % 159.76/160.09 (step @p205 :rule cong :premises (@p204 @p203) :args (@t118)) % 159.76/160.09 (step @p206 :rule symm :premises (@p76)) % 159.76/160.09 (step @p207 :rule cong :premises (@p50 @p46) :args ((tptp.multiply tptp.a tptp.identity))) % 159.76/160.09 (step @p208 :rule symm :premises (@p25)) % 159.76/160.09 (step @p209 :rule cong :premises (@p203 @p208) :args (@t157)) % 159.76/160.09 (step @p210 :rule trans :premises (@p113 @p209 @p207 @p206 @p205 @p202 @p41)) % 159.76/160.09 (step @p211 :rule symm :premises (@p115)) % 159.76/160.09 (step @p212 :rule symm :premises (@p24)) % 159.76/160.09 (step @p213 :rule refl :args (tptp.identity)) % 159.76/160.09 (step @p214 :rule cong :premises (@p20 @p213) :args (@t202)) % 159.76/160.09 (step @p215 :rule trans :premises (@p214 @p212)) % 159.76/160.09 (step @p216 :rule symm :premises (@p214)) % 159.76/160.09 (step @p217 :rule symm :premises (@p79)) % 159.76/160.09 (step @p218 :rule refl :args (@t33)) % 159.76/160.09 (step @p219 :rule cong :premises (@p78 @p218) :args (@t60)) % 159.76/160.09 (step @p220 :rule trans :premises (@p219 @p217 @p24 @p216)) % 159.76/160.09 (step @p221 :rule trans :premises (@p220 @p215)) % 159.76/160.09 (step @p222 :rule cong :premises (@p221 @p200) :args (@t61)) % 159.76/160.09 (step @p223 :rule trans :premises (@p91 @p222 @p211)) % 159.76/160.09 (step @p224 :rule cong :premises (@p223 @p210) :args (@t180)) % 159.76/160.09 (step @p225 :rule trans :premises (@p224 @p201)) % 159.76/160.09 (step @p226 :rule trans :premises (@p225 @p198)) % 159.76/160.09 (step @p227 :rule cong :premises (@p226 @p197) :args (@t181)) % 159.76/160.09 (step @p68 :rule instantiate :premises (@p5) :args (@t54)) % 159.76/160.09 (step @p228 :rule symm :premises (@p36)) % 159.76/160.09 (step @p229 :rule cong :premises (@p200 @p228) :args (@t98)) % 159.76/160.09 (step @p230 :rule trans :premises (@p52 @p229 @p68)) % 159.76/160.09 (step @p231 :rule refl :args (@t38)) % 159.76/160.09 (step @p232 :rule cong :premises (@p231 @p230) :args (@t39)) % 159.76/160.09 (step @p233 :rule trans :premises (@p35 @p232 @p93)) % 159.76/160.09 (step @p234 :rule refl :args (@t62)) % 159.76/160.09 (step @p235 :rule cong :premises (@p234 @p233) :args (@t132)) % 159.76/160.09 (step @p236 :rule refl :args (@t34)) % 159.76/160.09 (step @p237 :rule cong :premises (@p41 @p236) :args (@t35)) % 159.76/160.09 (step @p238 :rule trans :premises (@p237 @p55 @p92 @p235 @p123 @p227)) % 159.76/160.09 (step @p239 :rule refl :args (@t31)) % 159.76/160.09 (step @p240 :rule cong :premises (@p239 @p238) :args ((tptp.greatest_lower_bound @t31 @t35))) % 159.76/160.09 (step @p30 :rule instantiate :premises (@p3) :args (@t41)) % 159.76/160.09 (step @p241 :rule cong :premises (@p199 @p200) :args ((tptp.least_upper_bound @t89 tptp.b))) % 159.76/160.09 (step @p242 :rule cong :premises (@p221 @p203) :args (@t130)) % 159.76/160.09 (step @p243 :rule symm :premises (@p82)) % 159.76/160.09 (step @p244 :rule trans :premises (@p243 @p242 @p202)) % 159.76/160.09 (step @p245 :rule trans :premises (@p244 @p41)) % 159.76/160.09 (step @p246 :rule cong :premises (@p245 @p223) :args (@t178)) % 159.76/160.09 (step @p247 :rule refl :args (@t32)) % 159.76/160.09 (step @p248 :rule cong :premises (@p247 @p121) :args (@t203)) % 159.76/160.09 (step @p249 :rule refl :args (@t80)) % 159.76/160.09 (step @p250 :rule cong :premises (@p228 @p249) :args (@t200)) % 159.76/160.09 (step @p251 :rule symm :premises (@p132)) % 159.76/160.09 (step @p252 :rule trans :premises (@p248 @p122 @p246 @p241)) % 159.76/160.09 (step @p253 :rule symm :premises (@p114)) % 159.76/160.09 (step @p254 :rule symm :premises (@p46)) % 159.76/160.09 (step @p255 :rule refl :args (@t47)) % 159.76/160.09 (step @p256 :rule cong :premises (@p255 @p199) :args (@t103)) % 159.76/160.09 (step @p257 :rule symm :premises (@p54)) % 159.76/160.09 (step @p258 :rule refl :args (@t102)) % 159.76/160.09 (step @p259 :rule trans :premises (@p214 @p212 @p46)) % 159.76/160.09 (step @p260 :rule trans :premises (@p208 @p24 @p216)) % 159.76/160.09 (step @p261 :rule trans :premises (@p260 @p259)) % 159.76/160.09 (step @p262 :rule cong :premises (@p261 @p258) :args (@t145)) % 159.76/160.09 (step @p263 :rule trans :premises (@p98 @p262 @p257 @p256 @p254 @p24 @p216)) % 159.76/160.09 (step @p264 :rule trans :premises (@p263 @p215)) % 159.76/160.09 (step @p265 :rule cong :premises (@p264 @p218) :args (@t188)) % 159.76/160.09 (step @p266 :rule symm :premises (@p126)) % 159.76/160.09 (step @p267 :rule symm :premises (@p221)) % 159.76/160.09 (step @p268 :rule refl :args (@t72)) % 159.76/160.09 (step @p269 :rule cong :premises (@p268 @p267) :args (@t170)) % 159.76/160.09 (step @p270 :rule symm :premises (@p119)) % 159.76/160.09 (step @p271 :rule cong :premises (@p255 @p16) :args (@t67)) % 159.76/160.09 (step @p104 :rule instantiate :premises (@p18) :args (@t69)) % 159.76/160.09 (step @p272 :rule cong :premises (@p62) :args (@t47)) % 159.76/160.09 (step @p273 :rule trans :premises (@p272 @p104 @p271)) % 159.76/160.09 (step @p274 :rule cong :premises (@p218 @p221) :args (@t155)) % 159.76/160.09 (step @p275 :rule cong :premises (@p25 @p218) :args (@t159)) % 159.76/160.09 (step @p276 :rule trans :premises (@p114 @p275 @p112 @p274)) % 159.76/160.09 (step @p277 :rule cong :premises (@p276 @p273) :args (@t72)) % 159.76/160.09 (step @p278 :rule trans :premises (@p277 @p270 @p269 @p266 @p265 @p253)) % 159.76/160.09 (step @p279 :rule cong :premises (@p278 @p252) :args ((tptp.multiply @t72 @t203))) % 159.76/160.09 (step @p280 :rule symm :premises (@p252)) % 159.76/160.09 (step @p281 :rule cong :premises (@p268 @p280) :args (@t162)) % 159.76/160.09 (step @p282 :rule trans :premises (@p281 @p279)) % 159.76/160.09 (step @p283 :rule cong :premises (@p203 @p282) :args (@t163)) % 159.76/160.09 (step @p284 :rule symm :premises (@p94)) % 159.76/160.09 (step @p285 :rule symm :premises (@p50)) % 159.76/160.09 (step @p286 :rule cong :premises (@p285 @p255) :args (@t96)) % 159.76/160.09 (step @p287 :rule trans :premises (@p219 @p217 @p51 @p286)) % 159.76/160.09 (step @p288 :rule cong :premises (@p231 @p287) :args (@t107)) % 159.76/160.09 (step @p289 :rule cong :premises (@p41 @p218) :args (@t38)) % 159.76/160.09 (step @p290 :rule trans :premises (@p289 @p56 @p288 @p284)) % 159.76/160.09 (step @p291 :rule cong :premises (@p290 @p239) :args (@t77)) % 159.76/160.09 (step @p292 :rule trans :premises (@p291 @p116 @p283)) % 159.76/160.09 (step @p293 :rule symm :premises (@p121)) % 159.76/160.09 (step @p294 :rule cong :premises (@p200 @p293) :args (@t198)) % 159.76/160.09 (step @p295 :rule symm :premises (@p131)) % 159.76/160.09 (step @p296 :rule refl :args (@t142)) % 159.76/160.09 (step @p297 :rule cong :premises (@p218 @p285) :args (@t153)) % 159.76/160.09 (step @p298 :rule symm :premises (@p96)) % 159.76/160.09 (step @p299 :rule refl :args (@t140)) % 159.76/160.09 (step @p300 :rule symm :premises (@p63)) % 159.76/160.09 (step @p301 :rule trans :premises (@p300 @p24 @p216)) % 159.76/160.09 (step @p302 :rule trans :premises (@p301 @p259)) % 159.76/160.09 (step @p303 :rule cong :premises (@p302 @p299) :args (@t167)) % 159.76/160.09 (step @p304 :rule trans :premises (@p118 @p303 @p298)) % 159.76/160.09 (step @p305 :rule cong :premises (@p304) :args (@t193)) % 159.76/160.09 (step @p306 :rule symm :premises (@p129)) % 159.76/160.09 (step @p307 :rule symm :premises (@p75)) % 159.76/160.09 (step @p308 :rule cong :premises (@p300 @p255) :args (@t190)) % 159.76/160.09 (step @p309 :rule symm :premises (@p127)) % 159.76/160.09 (step @p310 :rule trans :premises (@p309 @p308 @p307)) % 159.76/160.09 (step @p311 :rule trans :premises (@p222 @p211)) % 159.76/160.09 (step @p312 :rule cong :premises (@p311) :args (@t165)) % 159.76/160.09 (step @p313 :rule symm :premises (@p117)) % 159.76/160.09 (step @p314 :rule symm :premises (@p220)) % 159.76/160.09 (step @p315 :rule cong :premises (@p314) :args ((tptp.inverse @t202))) % 159.76/160.09 (step @p316 :rule symm :premises (@p215)) % 159.76/160.09 (step @p317 :rule cong :premises (@p316) :args (@t27)) % 159.76/160.09 (step @p318 :rule trans :premises (@p219 @p217 @p20 @p317 @p315)) % 159.76/160.09 (step @p319 :rule refl :args (@t58)) % 159.76/160.09 (step @p320 :rule cong :premises (@p319 @p318) :args ((tptp.multiply @t58 @t60))) % 159.76/160.09 (step @p321 :rule symm :premises (@p287)) % 159.76/160.09 (step @p322 :rule cong :premises (@p319 @p321) :args (@t173)) % 159.76/160.09 (step @p323 :rule trans :premises (@p322 @p320 @p313 @p312)) % 159.76/160.09 (step @p324 :rule cong :premises (@p323 @p310) :args (@t174)) % 159.76/160.09 (step @p325 :rule cong :premises (@p319 @p99) :args (@t150)) % 159.76/160.09 (step @p326 :rule trans :premises (@p325 @p120 @p324)) % 159.76/160.09 (step @p327 :rule cong :premises (@p326) :args (@t151)) % 159.76/160.09 (step @p328 :rule symm :premises (@p110)) % 159.76/160.09 (step @p329 :rule symm :premises (@p58)) % 159.76/160.09 (step @p330 :rule cong :premises (@p50 @p218) :args (@t38)) % 159.76/160.09 (step @p331 :rule trans :premises (@p330 @p329)) % 159.76/160.09 (step @p332 :rule cong :premises (@p331 @p74) :args (@t39)) % 159.76/160.09 (step @p333 :rule trans :premises (@p35 @p332 @p328 @p327)) % 159.76/160.09 (step @p334 :rule cong :premises (@p319 @p333) :args (@t195)) % 159.76/160.09 (step @p335 :rule trans :premises (@p334 @p306 @p305 @p111 @p297)) % 159.76/160.09 (step @p336 :rule symm :premises (@p74)) % 159.76/160.09 (step @p337 :rule cong :premises (@p336 @p335) :args (@t196)) % 159.76/160.09 (step @p338 :rule refl :args (@t35)) % 159.76/160.09 (step @p339 :rule trans :premises (@p214 @p212 @p80)) % 159.76/160.09 (step @p340 :rule trans :premises (@p220 @p339)) % 159.76/160.09 (step @p341 :rule cong :premises (@p340 @p338) :args ((tptp.multiply @t60 @t35))) % 159.76/160.09 (step @p342 :rule cong :premises (@p267 @p338) :args (@t186)) % 159.76/160.09 (step @p343 :rule trans :premises (@p125 @p342 @p341 @p130 @p337)) % 159.76/160.09 (step @p344 :rule cong :premises (@p343 @p296) :args (@t143)) % 159.76/160.09 (step @p345 :rule trans :premises (@p97 @p344 @p295 @p294)) % 159.76/160.09 (step @p346 :rule cong :premises (@p345 @p292) :args (@t183)) % 159.76/160.09 (step @p347 :rule trans :premises (@p346 @p251 @p250 @p248 @p122 @p246 @p241)) % 159.76/160.09 (step @p348 :rule cong :premises (@p347 @p30) :args (@t184)) % 159.76/160.09 (step @p349 :rule symm :premises (@p77)) % 159.76/160.09 (step @p350 :rule cong :premises (@p200 @p198) :args (@t100)) % 159.76/160.09 (step @p351 :rule trans :premises (@p53 @p350 @p349)) % 159.76/160.09 (step @p352 :rule cong :premises (@p231 @p351) :args (@t39)) % 159.76/160.09 (step @p353 :rule trans :premises (@p35 @p352 @p95)) % 159.76/160.09 (step @p354 :rule refl :args (@t59)) % 159.76/160.09 (step @p355 :rule cong :premises (@p354 @p353) :args (@t127)) % 159.76/160.09 (step @p356 :rule cong :premises (@p45 @p236) :args (@t35)) % 159.76/160.09 (step @p357 :rule trans :premises (@p356 @p57 @p81 @p355 @p124 @p348 @p240 @p196)) % 159.76/160.09 (step-pop @p498 :rule scope :premises (@p357)) % 159.76/160.09 (step-pop @p499 :rule scope :premises (@p498)) % 159.76/160.09 (step-pop @p500 :rule scope :premises (@p499)) % 159.76/160.09 (step-pop @p501 :rule scope :premises (@p500)) % 159.76/160.09 (step-pop @p502 :rule scope :premises (@p501)) % 159.76/160.09 (step-pop @p503 :rule scope :premises (@p502)) % 159.76/160.09 (step-pop @p504 :rule scope :premises (@p503)) % 159.76/160.09 (step-pop @p505 :rule scope :premises (@p504)) % 159.76/160.09 (step-pop @p506 :rule scope :premises (@p505)) % 159.76/160.09 (step-pop @p507 :rule scope :premises (@p506)) % 159.76/160.09 (step-pop @p508 :rule scope :premises (@p507)) % 159.76/160.09 (step-pop @p509 :rule scope :premises (@p508)) % 159.76/160.09 (step-pop @p510 :rule scope :premises (@p509)) % 159.76/160.09 (step-pop @p511 :rule scope :premises (@p510)) % 159.76/160.09 (step-pop @p512 :rule scope :premises (@p511)) % 159.76/160.09 (step-pop @p513 :rule scope :premises (@p512)) % 159.76/160.09 (step-pop @p514 :rule scope :premises (@p513)) % 159.76/160.09 (step-pop @p515 :rule scope :premises (@p514)) % 159.76/160.09 (step-pop @p516 :rule scope :premises (@p515)) % 159.76/160.09 (step-pop @p517 :rule scope :premises (@p516)) % 159.76/160.09 (step-pop @p518 :rule scope :premises (@p517)) % 159.76/160.09 (step-pop @p519 :rule scope :premises (@p518)) % 159.76/160.09 (step-pop @p520 :rule scope :premises (@p519)) % 159.76/160.09 (step-pop @p521 :rule scope :premises (@p520)) % 159.76/160.09 (step-pop @p522 :rule scope :premises (@p521)) % 159.76/160.09 (step-pop @p523 :rule scope :premises (@p522)) % 159.76/160.09 (step-pop @p524 :rule scope :premises (@p523)) % 159.76/160.09 (step-pop @p525 :rule scope :premises (@p524)) % 159.76/160.09 (step-pop @p526 :rule scope :premises (@p525)) % 159.76/160.09 (step-pop @p527 :rule scope :premises (@p526)) % 159.76/160.09 (step-pop @p528 :rule scope :premises (@p527)) % 159.76/160.09 (step-pop @p529 :rule scope :premises (@p528)) % 159.76/160.09 (step-pop @p530 :rule scope :premises (@p529)) % 159.76/160.09 (step-pop @p531 :rule scope :premises (@p530)) % 159.76/160.09 (step-pop @p532 :rule scope :premises (@p531)) % 159.76/160.09 (step-pop @p533 :rule scope :premises (@p532)) % 159.76/160.09 (step-pop @p534 :rule scope :premises (@p533)) % 159.76/160.09 (step-pop @p535 :rule scope :premises (@p534)) % 159.76/160.09 (step-pop @p536 :rule scope :premises (@p535)) % 159.76/160.09 (step-pop @p537 :rule scope :premises (@p536)) % 159.76/160.09 (step-pop @p538 :rule scope :premises (@p537)) % 159.76/160.09 (step-pop @p539 :rule scope :premises (@p538)) % 159.76/160.09 (step-pop @p540 :rule scope :premises (@p539)) % 159.76/160.09 (step-pop @p541 :rule scope :premises (@p540)) % 159.76/160.09 (step-pop @p542 :rule scope :premises (@p541)) % 159.76/160.09 (step-pop @p543 :rule scope :premises (@p542)) % 159.76/160.09 (step-pop @p544 :rule scope :premises (@p543)) % 159.76/160.09 (step-pop @p545 :rule scope :premises (@p544)) % 159.76/160.09 (step-pop @p546 :rule scope :premises (@p545)) % 159.76/160.09 (step-pop @p547 :rule scope :premises (@p546)) % 159.76/160.09 (step-pop @p548 :rule scope :premises (@p547)) % 159.76/160.09 (step-pop @p549 :rule scope :premises (@p548)) % 159.76/160.09 (step-pop @p550 :rule scope :premises (@p549)) % 159.76/160.09 (step-pop @p551 :rule scope :premises (@p550)) % 159.76/160.09 (step-pop @p552 :rule scope :premises (@p551)) % 159.76/160.09 (step-pop @p553 :rule scope :premises (@p552)) % 159.76/160.09 (step-pop @p554 :rule scope :premises (@p553)) % 159.76/160.09 (step-pop @p555 :rule scope :premises (@p554)) % 159.76/160.09 (step-pop @p556 :rule scope :premises (@p555)) % 159.76/160.09 (step-pop @p557 :rule scope :premises (@p556)) % 159.76/160.09 (step-pop @p558 :rule scope :premises (@p557)) % 159.76/160.09 (step-pop @p559 :rule scope :premises (@p558)) % 159.76/160.09 (step-pop @p560 :rule scope :premises (@p559)) % 159.76/160.09 (step @p358 :rule process_scope :premises (@p560) :args (@t36)) % 159.76/160.09 (step @p422 :rule implies_elim :premises (@p358)) % 159.76/160.09 (step @p423 :rule cnf_and_neg :args (@t204)) % 159.76/160.09 (step @p424 :rule resolution :premises (@p423 @p422) :args (true @t204)) % 159.76/160.09 (step @p425 :rule reordering :premises (@p424) :args ((or @t36 (not @t81) (not @t82) (not @t84) (not @t42) (not @t86) (not @t88) (not @t90) (not @t92) (not @t94) (not @t95) (not @t97) (not @t99) (not @t101) (not @t104) (not @t106) (not @t108) (not @t110) (not @t112) (not @t113) (not @t115) (not @t55) (not @t116) (not @t117) (not @t119) (not @t121) (not @t123) (not @t124) (not @t126) (not @t128) (not @t131) (not @t64) (not @t133) (not @t135) (not @t137) (not @t139) (not @t141) (not @t144) (not @t147) (not @t149) (not @t70) (not @t152) (not @t154) (not @t156) (not @t158) (not @t160) (not @t161) (not @t164) (not @t166) (not @t169) (not @t171) (not @t175) (not @t177) (not @t179) (not @t182) (not @t185) (not @t187) (not @t189) (not @t191) (not @t192) (not @t194) (not @t197) (not @t199) (not @t201)))) % 159.76/160.09 (step @p426 false :rule chain_m_resolution :premises (@p425 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p63 @p62 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p46 @p45 @p41 @p37 @p36 @p35 @p25 @p24 @p19 @p20) :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 true false) (@list @t201 @t199 @t197 @t194 @t192 @t191 @t189 @t187 @t185 @t182 @t179 @t177 @t175 @t171 @t169 @t166 @t164 @t161 @t160 @t158 @t156 @t154 @t152 @t70 @t149 @t147 @t144 @t141 @t139 @t137 @t135 @t133 @t64 @t131 @t128 @t126 @t124 @t123 @t121 @t119 @t117 @t116 @t55 @t115 @t113 @t112 @t110 @t108 @t106 @t104 @t101 @t99 @t97 @t95 @t94 @t92 @t90 @t88 @t86 @t42 @t84 @t82 @t36 @t81))) % 159.76/160.09 ) % 159.76/160.09 % SZS output end Proof % 159.76/160.09 % cvc5 exiting %------------------------------------------------------------------------------