%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP769-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:21:28 AM UTC 2026 % Result : Unsatisfiable 98.70s 99.02s % Output : Proof 98.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP769-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 02:03:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.74 --- Run --no-e-matching --full-saturate-quant at 6... % 21.53/21.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.54/27.79 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.65/33.86 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.72/63.99 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.84/79.05 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 98.70/99.02 % SZS status Unsatisfiable % 98.70/99.02 % SZS output start Proof % 98.83/99.03 ( % 98.83/99.03 (declare-sort $$unsorted 0) % 98.83/99.03 (declare-const tptp.x2 $$unsorted) % 98.83/99.03 (declare-const tptp.t (-> $$unsorted $$unsorted $$unsorted)) % 98.83/99.03 (declare-const tptp.x0 $$unsorted) % 98.83/99.03 (declare-const tptp.eta (-> $$unsorted $$unsorted)) % 98.83/99.03 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 98.83/99.03 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 98.83/99.03 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted)) % 98.83/99.03 (declare-const tptp.x1 $$unsorted) % 98.83/99.03 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 98.83/99.03 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted)) % 98.83/99.03 (declare-const tptp.one $$unsorted) % 98.83/99.03 (define @t1 () (@var "A" $$unsorted)) % 98.83/99.03 (define @t2 () (@list @t1)) % 98.83/99.03 (define @t3 () (@var "B" $$unsorted)) % 98.83/99.03 (define @t4 () (tptp.product @t1 (tptp.difference @t1 @t3))) % 98.83/99.03 (define @t5 () (@list @t1 @t3)) % 98.83/99.03 (define @t6 () (forall @t5 (= @t4 @t3))) % 98.83/99.03 (define @t7 () (tptp.product @t1 @t3)) % 98.83/99.03 (define @t8 () (tptp.difference @t1 @t7)) % 98.83/99.03 (define @t9 () (forall @t5 (= @t8 @t3))) % 98.83/99.03 (define @t10 () (tptp.quotient @t7 @t3)) % 98.83/99.03 (define @t11 () (forall @t5 (= @t10 @t1))) % 98.83/99.03 (define @t12 () (tptp.product (tptp.quotient @t1 @t3) @t3)) % 98.83/99.03 (define @t13 () (forall @t5 (= @t12 @t1))) % 98.83/99.03 (define @t14 () (@var "C" $$unsorted)) % 98.83/99.03 (define @t15 () (@list @t1 @t3 @t14)) % 98.83/99.03 (define @t16 () (forall @t15 (= (tptp.difference @t1 (tptp.product @t7 @t14)) (tptp.quotient (tptp.product @t3 (tptp.product @t14 @t1)) @t1)))) % 98.83/99.03 (define @t17 () (tptp.product @t3 @t14)) % 98.83/99.03 (define @t18 () (tptp.i @t1)) % 98.83/99.03 (define @t19 () (tptp.j @t1)) % 98.83/99.03 (define @t20 () (tptp.product @t18 @t1)) % 98.83/99.03 (define @t21 () (tptp.eta @t1)) % 98.83/99.03 (define @t22 () (forall @t2 (= @t21 @t20))) % 98.83/99.03 (define @t23 () (tptp.i @t18)) % 98.83/99.03 (define @t24 () (tptp.j @t19)) % 98.83/99.03 (define @t25 () (tptp.product @t21 @t3)) % 98.83/99.03 (define @t26 () (tptp.quotient @t19 @t1)) % 98.83/99.03 (define @t27 () (tptp.product @t26 (tptp.product @t1 @t1))) % 98.83/99.03 (define @t28 () (tptp.i @t3)) % 98.83/99.03 (define @t29 () (forall @t5 (= (tptp.product (tptp.i @t7) @t23) @t28))) % 98.83/99.03 (define @t30 () (tptp.j @t3)) % 98.83/99.03 (define @t31 () (tptp.product @t3 @t1)) % 98.83/99.03 (define @t32 () (forall @t5 (= (tptp.product @t24 (tptp.j @t31)) @t30))) % 98.83/99.03 (define @t33 () (tptp.product @t1 (tptp.i @t31))) % 98.83/99.03 (define @t34 () (forall @t5 (= @t33 @t28))) % 98.83/99.03 (define @t35 () (tptp.product (tptp.j @t7) @t1)) % 98.83/99.03 (define @t36 () (forall @t5 (= @t35 @t30))) % 98.83/99.03 (define @t37 () (tptp.product tptp.x1 tptp.x2)) % 98.83/99.03 (define @t38 () (tptp.difference tptp.x2 @t37)) % 98.83/99.03 (define @t39 () (tptp.product tptp.x0 tptp.x2)) % 98.83/99.03 (define @t40 () (tptp.product @t39 @t38)) % 98.83/99.03 (define @t41 () (tptp.product tptp.x0 tptp.x1)) % 98.83/99.03 (define @t42 () (tptp.product @t41 tptp.x2)) % 98.83/99.03 (define @t43 () (= @t42 @t40)) % 98.83/99.03 (define @t44 () (@list tptp.x0 tptp.x2)) % 98.83/99.03 (define @t45 () (@list tptp.x2 @t41)) % 98.83/99.03 (define @t46 () (tptp.j @t40)) % 98.83/99.03 (define @t47 () (@list @t42)) % 98.83/99.03 (define @t48 () (@list @t40)) % 98.83/99.03 (define @t49 () (@list tptp.x2)) % 98.83/99.03 (define @t50 () (tptp.j @t37)) % 98.83/99.03 (define @t51 () (tptp.j tptp.x2)) % 98.83/99.03 (define @t52 () (tptp.j @t51)) % 98.83/99.03 (define @t53 () (tptp.product @t52 @t50)) % 98.83/99.03 (define @t54 () (tptp.j tptp.x1)) % 98.83/99.03 (define @t55 () (= @t53 @t54)) % 98.83/99.03 (define @t56 () (= @t54 @t53)) % 98.83/99.03 (define @t57 () (@list false)) % 98.83/99.03 (define @t58 () (@list @t32)) % 98.83/99.03 (define @t59 () (tptp.j @t42)) % 98.83/99.03 (define @t60 () (tptp.product @t52 @t59)) % 98.83/99.03 (define @t61 () (tptp.j @t41)) % 98.83/99.03 (define @t62 () (= @t60 @t61)) % 98.83/99.03 (define @t63 () (= @t61 @t60)) % 98.83/99.03 (define @t64 () (tptp.j @t39)) % 98.83/99.03 (define @t65 () (tptp.i @t41)) % 98.83/99.03 (define @t66 () (tptp.i @t39)) % 98.83/99.03 (define @t67 () (tptp.i @t42)) % 98.83/99.03 (define @t68 () (tptp.i @t40)) % 98.83/99.03 (define @t69 () (tptp.product tptp.x2 @t38)) % 98.83/99.03 (define @t70 () (tptp.j @t69)) % 98.83/99.03 (define @t71 () (tptp.product tptp.x2 @t46)) % 98.83/99.03 (define @t72 () (tptp.product @t71 tptp.x0)) % 98.83/99.03 (define @t73 () (tptp.product @t64 tptp.x0)) % 98.83/99.03 (define @t74 () (tptp.i @t73)) % 98.83/99.03 (define @t75 () (@list @t42 @t59)) % 98.83/99.03 (define @t76 () (@list @t40 @t46)) % 98.83/99.03 (define @t77 () (@list @t59)) % 98.83/99.03 (define @t78 () (@list @t46)) % 98.83/99.03 (define @t79 () (tptp.product tptp.x1 @t65)) % 98.83/99.03 (define @t80 () (tptp.i @t52)) % 98.83/99.03 (define @t81 () (tptp.i @t80)) % 98.83/99.03 (define @t82 () (tptp.i @t60)) % 98.83/99.03 (define @t83 () (tptp.product @t82 @t81)) % 98.83/99.03 (define @t84 () (tptp.i @t59)) % 98.83/99.03 (define @t85 () (= @t83 @t84)) % 98.83/99.03 (define @t86 () (@list @t52 @t59)) % 98.83/99.03 (define @t87 () (= @t84 @t83)) % 98.83/99.03 (define @t88 () (@list @t46 @t40)) % 98.83/99.03 (define @t89 () (@list tptp.x0 @t71)) % 98.83/99.03 (define @t90 () (tptp.product @t59 @t41)) % 98.83/99.03 (define @t91 () (tptp.difference @t59 (tptp.product @t90 tptp.x2))) % 98.83/99.03 (define @t92 () (tptp.product tptp.x2 @t59)) % 98.83/99.03 (define @t93 () (tptp.product @t41 @t92)) % 98.83/99.03 (define @t94 () (tptp.quotient @t93 @t59)) % 98.83/99.03 (define @t95 () (= @t91 @t94)) % 98.83/99.03 (define @t96 () (@list @t59 @t41 tptp.x2)) % 98.83/99.03 (define @t97 () (= @t94 @t91)) % 98.83/99.03 (define @t98 () (tptp.product @t42 @t59)) % 98.83/99.03 (define @t99 () (tptp.j @t98)) % 98.83/99.03 (define @t100 () (tptp.product @t40 @t46)) % 98.83/99.03 (define @t101 () (tptp.j @t100)) % 98.83/99.03 (define @t102 () (tptp.j @t59)) % 98.83/99.03 (define @t103 () (tptp.j @t46)) % 98.83/99.03 (define @t104 () (tptp.i @t98)) % 98.83/99.03 (define @t105 () (tptp.i @t100)) % 98.83/99.03 (define @t106 () (tptp.difference tptp.x2 @t72)) % 98.83/99.03 (define @t107 () (tptp.j @t72)) % 98.83/99.03 (define @t108 () (tptp.j tptp.x0)) % 98.83/99.03 (define @t109 () (tptp.j @t108)) % 98.83/99.03 (define @t110 () (tptp.product @t109 @t107)) % 98.83/99.03 (define @t111 () (tptp.j @t71)) % 98.83/99.03 (define @t112 () (= @t110 @t111)) % 98.83/99.03 (define @t113 () (= @t111 @t110)) % 98.83/99.03 (define @t114 () (tptp.product @t99 @t42)) % 98.83/99.03 (define @t115 () (tptp.i @t114)) % 98.83/99.03 (define @t116 () (tptp.product @t101 @t40)) % 98.83/99.03 (define @t117 () (tptp.i @t116)) % 98.83/99.03 (define @t118 () (tptp.product @t92 tptp.x0)) % 98.83/99.03 (define @t119 () (tptp.j @t118)) % 98.83/99.03 (define @t120 () (tptp.product @t109 @t119)) % 98.83/99.03 (define @t121 () (tptp.j @t92)) % 98.83/99.03 (define @t122 () (= @t120 @t121)) % 98.83/99.03 (define @t123 () (= @t121 @t120)) % 98.83/99.03 (define @t124 () (= @t37 @t69)) % 98.83/99.03 (define @t125 () (= tptp.x2 (tptp.difference tptp.x0 @t39))) % 98.83/99.03 (define @t126 () (tptp.i tptp.x0)) % 98.83/99.03 (define @t127 () (= @t126 @t79)) % 98.83/99.03 (define @t128 () (tptp.product tptp.x2 @t66)) % 98.83/99.03 (define @t129 () (= @t126 @t128)) % 98.83/99.03 (define @t130 () (tptp.product tptp.x2 @t67)) % 98.83/99.03 (define @t131 () (= @t65 @t130)) % 98.83/99.03 (define @t132 () (tptp.product @t38 @t68)) % 98.83/99.03 (define @t133 () (= @t66 @t132)) % 98.83/99.03 (define @t134 () (tptp.product @t61 tptp.x0)) % 98.83/99.03 (define @t135 () (= @t54 @t134)) % 98.83/99.03 (define @t136 () (= @t51 @t73)) % 98.83/99.03 (define @t137 () (tptp.product @t50 tptp.x1)) % 98.83/99.03 (define @t138 () (= @t51 @t137)) % 98.83/99.03 (define @t139 () (= @t51 @t90)) % 98.83/99.03 (define @t140 () (tptp.product @t46 @t39)) % 98.83/99.03 (define @t141 () (tptp.j @t38)) % 98.83/99.03 (define @t142 () (= @t141 @t140)) % 98.83/99.03 (define @t143 () (= @t106 (tptp.quotient @t140 tptp.x2))) % 98.83/99.03 (define @t144 () (tptp.difference tptp.x0 tptp.one)) % 98.83/99.03 (define @t145 () (= @t126 @t144)) % 98.83/99.03 (define @t146 () (tptp.difference @t42 tptp.one)) % 98.83/99.03 (define @t147 () (= @t67 @t146)) % 98.83/99.03 (define @t148 () (tptp.difference @t40 tptp.one)) % 98.83/99.03 (define @t149 () (= @t68 @t148)) % 98.83/99.03 (define @t150 () (tptp.quotient tptp.one tptp.x2)) % 98.83/99.03 (define @t151 () (= @t51 @t150)) % 98.83/99.03 (define @t152 () (tptp.quotient tptp.one @t41)) % 98.83/99.03 (define @t153 () (= @t61 @t152)) % 98.83/99.03 (define @t154 () (tptp.quotient tptp.one @t39)) % 98.83/99.03 (define @t155 () (= @t64 @t154)) % 98.83/99.03 (define @t156 () (tptp.quotient tptp.one @t40)) % 98.83/99.03 (define @t157 () (= @t46 @t156)) % 98.83/99.03 (define @t158 () (tptp.product @t67 @t42)) % 98.83/99.03 (define @t159 () (= @t158 @t98)) % 98.83/99.03 (define @t160 () (tptp.product @t68 @t40)) % 98.83/99.03 (define @t161 () (= @t160 @t100)) % 98.83/99.03 (define @t162 () (tptp.product tptp.x2 @t51)) % 98.83/99.03 (define @t163 () (tptp.product (tptp.i tptp.x2) tptp.x2)) % 98.83/99.03 (define @t164 () (= @t163 @t162)) % 98.83/99.03 (define @t165 () (tptp.product tptp.x0 @t74)) % 98.83/99.03 (define @t166 () (tptp.i @t64)) % 98.83/99.03 (define @t167 () (= @t166 @t165)) % 98.83/99.03 (define @t168 () (tptp.j @t79)) % 98.83/99.03 (define @t169 () (tptp.product @t168 tptp.x1)) % 98.83/99.03 (define @t170 () (= (tptp.j @t65) @t169)) % 98.83/99.03 (define @t171 () (tptp.product @t70 tptp.x2)) % 98.83/99.03 (define @t172 () (= @t141 @t171)) % 98.83/99.03 (define @t173 () (tptp.j @t128)) % 98.83/99.03 (define @t174 () (tptp.product @t173 tptp.x2)) % 98.83/99.03 (define @t175 () (= (tptp.j @t66) @t174)) % 98.83/99.03 (define @t176 () (tptp.j @t130)) % 98.83/99.03 (define @t177 () (tptp.product @t176 tptp.x2)) % 98.83/99.03 (define @t178 () (tptp.j @t67)) % 98.83/99.03 (define @t179 () (= @t178 @t177)) % 98.83/99.03 (define @t180 () (tptp.j @t132)) % 98.83/99.03 (define @t181 () (tptp.product @t180 @t38)) % 98.83/99.03 (define @t182 () (tptp.j @t68)) % 98.83/99.03 (define @t183 () (= @t182 @t181)) % 98.83/99.03 (define @t184 () (tptp.quotient @t171 tptp.x2)) % 98.83/99.03 (define @t185 () (= @t70 @t184)) % 98.83/99.03 (define @t186 () (tptp.product tptp.x0 @t144)) % 98.83/99.03 (define @t187 () (= tptp.one @t186)) % 98.83/99.03 (define @t188 () (= @t72 (tptp.product tptp.x2 @t106))) % 98.83/99.03 (define @t189 () (tptp.product @t42 @t146)) % 98.83/99.03 (define @t190 () (= tptp.one @t189)) % 98.83/99.03 (define @t191 () (= tptp.one (tptp.product @t40 @t148))) % 98.83/99.03 (define @t192 () (tptp.difference tptp.x0 @t165)) % 98.83/99.03 (define @t193 () (= @t74 @t192)) % 98.83/99.03 (define @t194 () (tptp.difference @t42 @t98)) % 98.83/99.03 (define @t195 () (= @t59 @t194)) % 98.83/99.03 (define @t196 () (= @t46 (tptp.difference @t40 @t100))) % 98.83/99.03 (define @t197 () (tptp.product @t150 tptp.x2)) % 98.83/99.03 (define @t198 () (= tptp.one @t197)) % 98.83/99.03 (define @t199 () (tptp.product @t152 @t41)) % 98.83/99.03 (define @t200 () (= tptp.one @t199)) % 98.83/99.03 (define @t201 () (tptp.product @t154 @t39)) % 98.83/99.03 (define @t202 () (= tptp.one @t201)) % 98.83/99.03 (define @t203 () (tptp.product @t156 @t40)) % 98.83/99.03 (define @t204 () (= tptp.one @t203)) % 98.83/99.03 (define @t205 () (tptp.difference @t61 tptp.one)) % 98.83/99.03 (define @t206 () (= (tptp.i @t61) @t205)) % 98.83/99.03 (define @t207 () (tptp.difference @t64 tptp.one)) % 98.83/99.03 (define @t208 () (= @t166 @t207)) % 98.83/99.03 (define @t209 () (tptp.difference @t59 tptp.one)) % 98.83/99.03 (define @t210 () (= @t84 @t209)) % 98.83/99.03 (define @t211 () (tptp.difference @t46 tptp.one)) % 98.83/99.03 (define @t212 () (tptp.i @t46)) % 98.83/99.03 (define @t213 () (= @t212 @t211)) % 98.83/99.03 (define @t214 () (tptp.quotient tptp.one @t79)) % 98.83/99.03 (define @t215 () (= @t168 @t214)) % 98.83/99.03 (define @t216 () (tptp.j @t73)) % 98.83/99.03 (define @t217 () (tptp.product @t73 @t216)) % 98.83/99.03 (define @t218 () (= (tptp.product @t74 @t73) @t217)) % 98.83/99.03 (define @t219 () (tptp.product @t59 @t102)) % 98.83/99.03 (define @t220 () (= (tptp.product @t84 @t59) @t219)) % 98.83/99.03 (define @t221 () (tptp.product @t46 @t103)) % 98.83/99.03 (define @t222 () (tptp.product @t212 @t46)) % 98.83/99.03 (define @t223 () (= @t222 @t221)) % 98.83/99.03 (define @t224 () (tptp.product @t67 @t178)) % 98.83/99.03 (define @t225 () (tptp.i @t67)) % 98.83/99.03 (define @t226 () (tptp.product @t225 @t67)) % 98.83/99.03 (define @t227 () (= @t226 @t224)) % 98.83/99.03 (define @t228 () (tptp.product @t68 @t182)) % 98.83/99.03 (define @t229 () (tptp.i @t68)) % 98.83/99.03 (define @t230 () (= (tptp.product @t229 @t68) @t228)) % 98.83/99.03 (define @t231 () (tptp.eta tptp.x2)) % 98.83/99.03 (define @t232 () (= @t163 @t231)) % 98.83/99.03 (define @t233 () (tptp.product @t59 @t104)) % 98.83/99.03 (define @t234 () (= @t67 @t233)) % 98.83/99.03 (define @t235 () (tptp.product @t46 @t105)) % 98.83/99.03 (define @t236 () (= @t68 @t235)) % 98.83/99.03 (define @t237 () (tptp.product @t37 (tptp.i (tptp.product @t67 @t37)))) % 98.83/99.03 (define @t238 () (= @t225 @t237)) % 98.83/99.03 (define @t239 () (tptp.product @t40 (tptp.i @t160))) % 98.83/99.03 (define @t240 () (= @t229 @t239)) % 98.83/99.03 (define @t241 () (tptp.product @t59 @t82)) % 98.83/99.03 (define @t242 () (= @t80 @t241)) % 98.83/99.03 (define @t243 () (tptp.product (tptp.j (tptp.product tptp.x0 @t71)) tptp.x0)) % 98.83/99.03 (define @t244 () (= @t111 @t243)) % 98.83/99.03 (define @t245 () (tptp.product (tptp.j (tptp.product tptp.x1 @t59)) tptp.x1)) % 98.83/99.03 (define @t246 () (= @t102 @t245)) % 98.83/99.03 (define @t247 () (= @t103 (tptp.product @t111 tptp.x2))) % 98.83/99.03 (define @t248 () (= @t102 @t114)) % 98.83/99.03 (define @t249 () (= @t103 @t116)) % 98.83/99.03 (define @t250 () (tptp.product @t107 @t71)) % 98.83/99.03 (define @t251 () (= @t108 @t250)) % 98.83/99.03 (define @t252 () (= tptp.x0 (tptp.quotient (tptp.product tptp.x0 @t79) @t79))) % 98.83/99.03 (define @t253 () (= @t41 (tptp.difference @t61 (tptp.product @t61 @t41)))) % 98.83/99.03 (define @t254 () (= @t39 (tptp.difference @t64 (tptp.product @t64 @t39)))) % 98.83/99.03 (define @t255 () (= @t40 (tptp.difference @t46 (tptp.product @t46 @t40)))) % 98.83/99.03 (define @t256 () (= @t93 (tptp.product @t94 @t59))) % 98.83/99.03 (define @t257 () (= @t99 (tptp.quotient @t114 @t42))) % 98.83/99.03 (define @t258 () (tptp.quotient @t116 @t40)) % 98.83/99.03 (define @t259 () (= @t101 @t258)) % 98.83/99.03 (define @t260 () (tptp.difference @t98 tptp.one)) % 98.83/99.03 (define @t261 () (= @t104 @t260)) % 98.83/99.03 (define @t262 () (= @t105 (tptp.difference @t100 tptp.one))) % 98.83/99.03 (define @t263 () (= @t102 (tptp.difference @t59 @t219))) % 98.83/99.03 (define @t264 () (tptp.difference @t46 @t221)) % 98.83/99.03 (define @t265 () (= @t103 @t264)) % 98.83/99.03 (define @t266 () (tptp.quotient (tptp.product @t104 @t98) @t59)) % 98.83/99.03 (define @t267 () (tptp.product @t233 @t42)) % 98.83/99.03 (define @t268 () (tptp.difference @t59 @t267)) % 98.83/99.03 (define @t269 () (= @t268 @t266)) % 98.83/99.03 (define @t270 () (tptp.quotient (tptp.product @t105 @t100) @t46)) % 98.83/99.03 (define @t271 () (= (tptp.difference @t46 (tptp.product @t235 @t40)) @t270)) % 98.83/99.03 (define @t272 () (tptp.quotient @t266 @t42)) % 98.83/99.03 (define @t273 () (= (tptp.difference @t98 (tptp.product @t42 @t233)) @t272)) % 98.83/99.03 (define @t274 () (tptp.product @t40 @t235)) % 98.83/99.03 (define @t275 () (tptp.difference @t100 @t274)) % 98.83/99.03 (define @t276 () (= @t275 (tptp.quotient @t270 @t40))) % 98.83/99.03 (define @t277 () (tptp.eta @t52)) % 98.83/99.03 (define @t278 () (= (tptp.product @t80 @t52) @t277)) % 98.83/99.03 (define @t279 () (tptp.product @t81 @t106)) % 98.83/99.03 (define @t280 () (= @t279 (tptp.product @t277 (tptp.product @t52 @t106)))) % 98.83/99.03 (define @t281 () (tptp.product @t277 @t60)) % 98.83/99.03 (define @t282 () (= (tptp.product @t81 @t59) @t281)) % 98.83/99.03 (define @t283 () (tptp.i @t104)) % 98.83/99.03 (define @t284 () (= (tptp.product (tptp.i @t233) (tptp.i @t84)) @t283)) % 98.83/99.03 (define @t285 () (tptp.i @t212)) % 98.83/99.03 (define @t286 () (tptp.i @t235)) % 98.83/99.03 (define @t287 () (tptp.product @t286 @t285)) % 98.83/99.03 (define @t288 () (= @t287 (tptp.i @t105))) % 98.83/99.03 (define @t289 () (tptp.product @t42 @t115)) % 98.83/99.03 (define @t290 () (= (tptp.i @t99) @t289)) % 98.83/99.03 (define @t291 () (tptp.product @t40 @t117)) % 98.83/99.03 (define @t292 () (tptp.i @t101)) % 98.83/99.03 (define @t293 () (= @t292 @t291)) % 98.83/99.03 (define @t294 () (tptp.product @t121 tptp.x2)) % 98.83/99.03 (define @t295 () (= @t102 @t294)) % 98.83/99.03 (define @t296 () (= @t121 (tptp.product (tptp.j @t93) @t41))) % 98.83/99.03 (define @t297 () (= @t115 (tptp.difference @t42 @t289))) % 98.83/99.03 (define @t298 () (tptp.difference @t40 @t291)) % 98.83/99.03 (define @t299 () (= @t117 @t298)) % 98.83/99.03 (define @t300 () (tptp.product @t231 @t134)) % 98.83/99.03 (define @t301 () (= @t300 (tptp.product (tptp.product @t231 @t61) tptp.x0))) % 98.83/99.03 (define @t302 () (tptp.j @t160)) % 98.83/99.03 (define @t303 () (tptp.j @t250)) % 98.83/99.03 (define @t304 () (tptp.j @t158)) % 98.83/99.03 (define @t305 () (and @t124 @t125 @t127 @t129 @t131 @t133 @t135 @t136 @t138 @t139 @t142 @t143 @t145 @t147 @t149 @t151 @t153 @t155 @t157 @t159 @t161 @t164 @t56 @t63 @t167 @t170 @t172 @t175 @t179 @t183 @t185 @t187 @t188 @t190 @t191 @t193 @t195 @t196 @t198 @t200 @t202 @t204 @t206 @t208 @t210 @t213 @t215 @t218 @t220 @t223 @t227 @t230 @t232 @t87 @t234 @t236 @t238 @t240 @t242 @t244 @t246 @t247 @t248 @t249 @t251 @t252 @t253 @t254 @t255 @t97 @t256 @t257 @t259 @t261 @t262 @t263 @t265 @t269 @t271 @t273 @t276 @t278 @t280 @t282 @t284 @t288 @t113 @t290 @t293 @t295 @t296 @t297 @t299 @t301 @t123)) % 98.83/99.03 (assume @p1 (forall @t2 (= (tptp.product @t1 tptp.one) @t1))) % 98.83/99.03 (assume @p2 (forall @t2 (= (tptp.product tptp.one @t1) @t1))) % 98.83/99.03 (assume @p3 @t6) % 98.83/99.03 (assume @p4 @t9) % 98.83/99.03 (assume @p5 @t11) % 98.83/99.03 (assume @p6 @t13) % 98.83/99.03 (assume @p7 @t16) % 98.83/99.03 (assume @p8 (forall @t15 (= (tptp.difference @t7 (tptp.product @t1 @t17)) (tptp.quotient (tptp.quotient (tptp.product @t14 @t7) @t3) @t1)))) % 98.83/99.03 (assume @p9 (forall @t2 (= @t18 (tptp.difference @t1 tptp.one)))) % 98.83/99.03 (assume @p10 (forall @t2 (= @t19 (tptp.quotient tptp.one @t1)))) % 98.83/99.03 (assume @p11 (forall @t2 (= @t20 (tptp.product @t1 @t19)))) % 98.83/99.03 (assume @p12 @t22) % 98.83/99.03 (assume @p13 (forall @t5 (= (tptp.product @t23 @t3) (tptp.product @t21 @t7)))) % 98.83/99.03 (assume @p14 (forall @t5 (= (tptp.product @t1 @t25) (tptp.product @t24 @t3)))) % 98.83/99.03 (assume @p15 (forall @t5 (= (tptp.product @t1 (tptp.product @t3 @t21)) (tptp.product @t7 @t21)))) % 98.83/99.03 (assume @p16 (forall @t15 (= (tptp.product @t21 @t17) (tptp.product @t25 @t14)))) % 98.83/99.03 (assume @p17 (forall @t2 (= @t26 (tptp.product @t19 @t18)))) % 98.83/99.03 (assume @p18 (forall @t15 (= (tptp.product (tptp.product @t27 @t3) @t14) (tptp.product @t27 @t17)))) % 98.83/99.03 (assume @p19 (forall @t5 (= (tptp.t @t1 @t3) (tptp.quotient @t7 @t1)))) % 98.83/99.03 (assume @p20 (forall @t15 (= (tptp.t @t21 @t17) (tptp.product (tptp.t @t21 @t3) (tptp.t @t21 @t14))))) % 98.83/99.03 (assume @p21 @t29) % 98.83/99.03 (assume @p22 @t32) % 98.83/99.03 (assume @p23 @t34) % 98.83/99.03 (assume @p24 @t36) % 98.83/99.03 (assume @p25 (not @t43)) % 98.83/99.03 (step @p26 :rule eq-symm :args (@t4 @t3)) % 98.83/99.03 (step @p27 :rule cong :premises (@p26) :args (@t6)) % 98.83/99.03 (step @p28 :rule eq_resolve :premises (@p3 @p27)) % 98.83/99.03 (step @p29 :rule instantiate :premises (@p28) :args ((@list tptp.x2 @t37))) % 98.83/99.03 (step @p30 :rule eq-symm :args (@t8 @t3)) % 98.83/99.03 (step @p31 :rule cong :premises (@p30) :args (@t9)) % 98.83/99.03 (step @p32 :rule eq_resolve :premises (@p4 @p31)) % 98.83/99.03 (step @p33 :rule instantiate :premises (@p32) :args (@t44)) % 98.83/99.03 (step @p34 :rule eq-symm :args (@t33 @t28)) % 98.83/99.03 (step @p35 :rule cong :premises (@p34) :args (@t34)) % 98.83/99.03 (step @p36 :rule eq_resolve :premises (@p23 @p35)) % 98.83/99.03 (step @p37 :rule instantiate :premises (@p36) :args ((@list tptp.x1 tptp.x0))) % 98.83/99.03 (step @p38 :rule instantiate :premises (@p36) :args ((@list tptp.x2 tptp.x0))) % 98.83/99.03 (step @p39 :rule instantiate :premises (@p36) :args (@t45)) % 98.83/99.03 (step @p40 :rule instantiate :premises (@p36) :args ((@list @t38 @t39))) % 98.83/99.03 (step @p41 :rule eq-symm :args (@t35 @t30)) % 98.83/99.03 (step @p42 :rule cong :premises (@p41) :args (@t36)) % 98.83/99.03 (step @p43 :rule eq_resolve :premises (@p24 @p42)) % 98.83/99.03 (step @p44 :rule instantiate :premises (@p43) :args ((@list tptp.x0 tptp.x1))) % 98.83/99.03 (step @p45 :rule instantiate :premises (@p43) :args (@t44)) % 98.83/99.03 (step @p46 :rule instantiate :premises (@p43) :args ((@list tptp.x1 tptp.x2))) % 98.83/99.03 (step @p47 :rule instantiate :premises (@p43) :args ((@list @t41 tptp.x2))) % 98.83/99.03 (step @p48 :rule instantiate :premises (@p43) :args ((@list @t39 @t38))) % 98.83/99.03 (step @p49 :rule instantiate :premises (@p7) :args ((@list tptp.x2 @t46 tptp.x0))) % 98.83/99.03 (step @p50 :rule instantiate :premises (@p9) :args ((@list tptp.x0))) % 98.83/99.03 (step @p51 :rule instantiate :premises (@p9) :args (@t47)) % 98.83/99.03 (step @p52 :rule instantiate :premises (@p9) :args (@t48)) % 98.83/99.03 (step @p53 :rule instantiate :premises (@p10) :args (@t49)) % 98.83/99.03 (step @p54 :rule instantiate :premises (@p10) :args ((@list @t41))) % 98.83/99.03 (step @p55 :rule instantiate :premises (@p10) :args ((@list @t39))) % 98.83/99.03 (step @p56 :rule instantiate :premises (@p10) :args (@t48)) % 98.83/99.03 (step @p57 :rule instantiate :premises (@p11) :args (@t47)) % 98.83/99.03 (step @p58 :rule instantiate :premises (@p11) :args (@t48)) % 98.83/99.03 (step @p59 :rule instantiate :premises (@p11) :args (@t49)) % 98.83/99.03 (step @p60 :rule eq-symm :args (@t53 @t54)) % 98.83/99.03 (step @p61 :rule refl :args (@t32)) % 98.83/99.03 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t32 @t55))) % 98.83/99.03 (assume-push @p641 @t32) % 98.83/99.03 (step @p64 :rule instantiate :premises (@p22) :args ((@list tptp.x2 tptp.x1))) % 98.83/99.03 (step-pop @p642 :rule scope :premises (@p64)) % 98.83/99.03 (step @p65 :rule process_scope :premises (@p642) :args (@t55)) % 98.83/99.03 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 98.83/99.03 (step @p68 :rule implies_elim :premises (@p67)) % 98.83/99.03 (step @p69 :rule chain_m_resolution :premises (@p68 @p22) :args (@t56 @t57 @t58)) % 98.83/99.03 (step @p70 :rule eq-symm :args (@t60 @t61)) % 98.83/99.03 (step @p71 :rule cong :premises (@p61 @p70) :args ((=> @t32 @t62))) % 98.83/99.03 (assume-push @p643 @t32) % 98.83/99.03 (step @p73 :rule instantiate :premises (@p22) :args (@t45)) % 98.83/99.03 (step-pop @p644 :rule scope :premises (@p73)) % 98.83/99.03 (step @p74 :rule process_scope :premises (@p644) :args (@t62)) % 98.83/99.03 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 98.83/99.03 (step @p77 :rule implies_elim :premises (@p76)) % 98.83/99.03 (step @p78 :rule chain_m_resolution :premises (@p77 @p22) :args (@t63 @t57 @t58)) % 98.83/99.03 (step @p79 :rule instantiate :premises (@p36) :args ((@list tptp.x0 @t64))) % 98.83/99.03 (step @p80 :rule instantiate :premises (@p43) :args ((@list tptp.x1 @t65))) % 98.83/99.03 (step @p81 :rule instantiate :premises (@p43) :args ((@list tptp.x2 @t38))) % 98.83/99.03 (step @p82 :rule instantiate :premises (@p43) :args ((@list tptp.x2 @t66))) % 98.83/99.03 (step @p83 :rule instantiate :premises (@p43) :args ((@list tptp.x2 @t67))) % 98.83/99.03 (step @p84 :rule instantiate :premises (@p43) :args ((@list @t38 @t68))) % 98.83/99.03 (step @p85 :rule eq-symm :args (@t10 @t1)) % 98.83/99.03 (step @p86 :rule cong :premises (@p85) :args (@t11)) % 98.83/99.03 (step @p87 :rule eq_resolve :premises (@p5 @p86)) % 98.83/99.03 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t70 tptp.x2))) % 98.83/99.03 (step @p89 :rule instantiate :premises (@p28) :args ((@list tptp.x0 tptp.one))) % 98.83/99.03 (step @p90 :rule instantiate :premises (@p28) :args ((@list tptp.x2 @t72))) % 98.83/99.03 (step @p91 :rule instantiate :premises (@p28) :args ((@list @t42 tptp.one))) % 98.83/99.03 (step @p92 :rule instantiate :premises (@p28) :args ((@list @t40 tptp.one))) % 98.83/99.03 (step @p93 :rule instantiate :premises (@p32) :args ((@list tptp.x0 @t74))) % 98.83/99.03 (step @p94 :rule instantiate :premises (@p32) :args (@t75)) % 98.83/99.03 (step @p95 :rule instantiate :premises (@p32) :args (@t76)) % 98.83/99.03 (step @p96 :rule eq-symm :args (@t12 @t1)) % 98.83/99.03 (step @p97 :rule cong :premises (@p96) :args (@t13)) % 98.83/99.03 (step @p98 :rule eq_resolve :premises (@p6 @p97)) % 98.83/99.03 (step @p99 :rule instantiate :premises (@p98) :args ((@list tptp.one tptp.x2))) % 98.83/99.03 (step @p100 :rule instantiate :premises (@p98) :args ((@list tptp.one @t41))) % 98.83/99.03 (step @p101 :rule instantiate :premises (@p98) :args ((@list tptp.one @t39))) % 98.83/99.03 (step @p102 :rule instantiate :premises (@p98) :args ((@list tptp.one @t40))) % 98.83/99.03 (step @p103 :rule instantiate :premises (@p9) :args ((@list @t61))) % 98.83/99.03 (step @p104 :rule instantiate :premises (@p9) :args ((@list @t64))) % 98.83/99.03 (step @p105 :rule instantiate :premises (@p9) :args (@t77)) % 98.83/99.03 (step @p106 :rule instantiate :premises (@p9) :args (@t78)) % 98.83/99.03 (step @p107 :rule instantiate :premises (@p10) :args ((@list @t79))) % 98.83/99.03 (step @p108 :rule instantiate :premises (@p11) :args ((@list @t73))) % 98.83/99.03 (step @p109 :rule instantiate :premises (@p11) :args (@t77)) % 98.83/99.03 (step @p110 :rule instantiate :premises (@p11) :args (@t78)) % 98.83/99.03 (step @p111 :rule instantiate :premises (@p11) :args ((@list @t67))) % 98.83/99.03 (step @p112 :rule instantiate :premises (@p11) :args ((@list @t68))) % 98.83/99.03 (step @p113 :rule eq-symm :args (@t21 @t20)) % 98.83/99.03 (step @p114 :rule cong :premises (@p113) :args (@t22)) % 98.83/99.03 (step @p115 :rule eq_resolve :premises (@p12 @p114)) % 98.83/99.03 (step @p116 :rule instantiate :premises (@p115) :args (@t49)) % 98.83/99.03 (step @p117 :rule eq-symm :args (@t83 @t84)) % 98.83/99.03 (step @p118 :rule refl :args (@t29)) % 98.83/99.03 (step @p119 :rule cong :premises (@p118 @p117) :args ((=> @t29 @t85))) % 98.83/99.03 (assume-push @p645 @t29) % 98.83/99.03 (step @p121 :rule instantiate :premises (@p21) :args (@t86)) % 98.83/99.03 (step-pop @p646 :rule scope :premises (@p121)) % 98.83/99.03 (step @p122 :rule process_scope :premises (@p646) :args (@t85)) % 98.83/99.03 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 98.83/99.03 (step @p125 :rule implies_elim :premises (@p124)) % 98.83/99.03 (step @p126 :rule chain_m_resolution :premises (@p125 @p21) :args (@t87 @t57 (@list @t29))) % 98.83/99.03 (step @p127 :rule instantiate :premises (@p36) :args ((@list @t59 @t42))) % 98.83/99.03 (step @p128 :rule instantiate :premises (@p36) :args (@t88)) % 98.83/99.03 (step @p129 :rule instantiate :premises (@p36) :args ((@list @t37 @t67))) % 98.83/99.03 (step @p130 :rule instantiate :premises (@p36) :args ((@list @t40 @t68))) % 98.83/99.03 (step @p131 :rule instantiate :premises (@p36) :args ((@list @t59 @t52))) % 98.83/99.03 (step @p132 :rule instantiate :premises (@p43) :args (@t89)) % 98.83/99.03 (step @p133 :rule instantiate :premises (@p43) :args ((@list tptp.x1 @t59))) % 98.83/99.03 (step @p134 :rule instantiate :premises (@p43) :args ((@list tptp.x2 @t46))) % 98.83/99.03 (step @p135 :rule instantiate :premises (@p43) :args (@t75)) % 98.83/99.03 (step @p136 :rule instantiate :premises (@p43) :args (@t76)) % 98.83/99.03 (step @p137 :rule instantiate :premises (@p43) :args ((@list @t71 tptp.x0))) % 98.83/99.03 (step @p138 :rule instantiate :premises (@p87) :args ((@list tptp.x0 @t79))) % 98.83/99.03 (step @p139 :rule instantiate :premises (@p32) :args ((@list @t61 @t41))) % 98.83/99.03 (step @p140 :rule instantiate :premises (@p32) :args ((@list @t64 @t39))) % 98.83/99.03 (step @p141 :rule instantiate :premises (@p32) :args (@t88)) % 98.83/99.03 (step @p142 :rule eq-symm :args (@t91 @t94)) % 98.83/99.03 (step @p143 :rule refl :args (@t16)) % 98.83/99.03 (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t16 @t95))) % 98.83/99.03 (assume-push @p647 @t16) % 98.83/99.03 (step @p146 :rule instantiate :premises (@p7) :args (@t96)) % 98.83/99.03 (step-pop @p648 :rule scope :premises (@p146)) % 98.83/99.03 (step @p147 :rule process_scope :premises (@p648) :args (@t95)) % 98.83/99.03 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 98.83/99.03 (step @p150 :rule implies_elim :premises (@p149)) % 98.83/99.03 (step @p151 :rule chain_m_resolution :premises (@p150 @p7) :args (@t97 @t57 (@list @t16))) % 98.83/99.03 (step @p152 :rule instantiate :premises (@p98) :args ((@list @t93 @t59))) % 98.83/99.03 (step @p153 :rule instantiate :premises (@p87) :args ((@list @t99 @t42))) % 98.83/99.03 (step @p154 :rule instantiate :premises (@p87) :args ((@list @t101 @t40))) % 98.83/99.03 (step @p155 :rule instantiate :premises (@p9) :args ((@list @t98))) % 98.83/99.03 (step @p156 :rule instantiate :premises (@p9) :args ((@list @t100))) % 98.83/99.03 (step @p157 :rule instantiate :premises (@p32) :args ((@list @t59 @t102))) % 98.83/99.03 (step @p158 :rule instantiate :premises (@p32) :args ((@list @t46 @t103))) % 98.83/99.03 (step @p159 :rule instantiate :premises (@p7) :args ((@list @t59 @t104 @t42))) % 98.83/99.03 (step @p160 :rule instantiate :premises (@p7) :args ((@list @t46 @t105 @t40))) % 98.83/99.03 (step @p161 :rule instantiate :premises (@p8) :args ((@list @t42 @t59 @t104))) % 98.83/99.03 (step @p162 :rule instantiate :premises (@p8) :args ((@list @t40 @t46 @t105))) % 98.83/99.03 (step @p163 :rule instantiate :premises (@p115) :args ((@list @t52))) % 98.83/99.03 (step @p164 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@p108 @p423 @p419 @p163)) % 98.83/99.03 (step @p438 :rule cong :premises (@p437 @p413) :args (@t300)) % 98.83/99.03 (step @p439 :rule symm :premises (@p183)) % 98.83/99.03 (step @p440 :rule symm :premises (@p437)) % 98.83/99.03 (step @p441 :rule cong :premises (@p440 @p73) :args (@t281)) % 98.83/99.03 (step @p442 :rule symm :premises (@p401)) % 98.83/99.03 (step @p443 :rule cong :premises (@p442 @p397) :args (@t92)) % 98.83/99.03 (step @p444 :rule trans :premises (@p443 @p165 @p441)) % 98.83/99.03 (step @p445 :rule cong :premises (@p444 @p302) :args (@t118)) % 98.83/99.03 (step @p446 :rule trans :premises (@p445 @p439 @p438 @p403 @p402 @p374)) % 98.83/99.03 (step @p447 :rule cong :premises (@p446) :args (@t119)) % 98.83/99.03 (step @p448 :rule symm :premises (@p372)) % 98.83/99.03 (step @p449 :rule cong :premises (@p448 @p447) :args (@t120)) % 98.83/99.03 (step @p450 :rule symm :premises (@p180)) % 98.83/99.03 (step @p451 :rule symm :premises (@p152)) % 98.83/99.03 (step @p146 :rule instantiate :premises (@p7) :args (@t96)) % 98.83/99.03 (step @p452 :rule symm :premises (@p53)) % 98.83/99.03 (step @p453 :rule trans :premises (@p452 @p47)) % 98.83/99.03 (step @p454 :rule cong :premises (@p453 @p297) :args (@t197)) % 98.83/99.03 (step @p455 :rule trans :premises (@p99 @p454)) % 98.83/99.03 (step @p456 :rule cong :premises (@p397 @p455) :args (@t209)) % 98.83/99.03 (step @p121 :rule instantiate :premises (@p21) :args (@t86)) % 98.83/99.03 (step @p457 :rule symm :premises (@p396)) % 98.83/99.03 (step @p458 :rule cong :premises (@p457 @p442) :args (@t42)) % 98.83/99.03 (step @p459 :rule refl :args (tptp.x1)) % 98.83/99.03 (step @p460 :rule symm :premises (@p308)) % 98.83/99.03 (step @p461 :rule trans :premises (@p460 @p309)) % 98.83/99.03 (step @p462 :rule cong :premises (@p461 @p459) :args (@t169)) % 98.83/99.03 (step @p463 :rule cong :premises (@p462 @p297) :args ((tptp.product @t169 tptp.x2))) % 98.83/99.03 (step @p464 :rule symm :premises (@p39)) % 98.83/99.03 (step @p465 :rule cong :premises (@p464) :args (@t176)) % 98.83/99.03 (step @p466 :rule symm :premises (@p465)) % 98.83/99.03 (step @p467 :rule symm :premises (@p80)) % 98.83/99.03 (step @p468 :rule trans :premises (@p467 @p466)) % 98.83/99.03 (step @p469 :rule symm :premises (@p468)) % 98.83/99.03 (step @p470 :rule cong :premises (@p469 @p297) :args (@t177)) % 98.83/99.03 (step @p471 :rule trans :premises (@p83 @p470 @p463 @p458 @p121 @p105 @p456 @p146)) % 98.83/99.03 (step @p472 :rule symm :premises (@p83)) % 98.83/99.03 (step @p473 :rule symm :premises (@p470)) % 98.83/99.03 (step @p474 :rule symm :premises (@p463)) % 98.83/99.03 (step @p475 :rule trans :premises (@p474 @p473 @p472)) % 98.83/99.03 (step @p476 :rule trans :premises (@p475 @p471)) % 98.83/99.03 (step @p477 :rule cong :premises (@p476 @p397) :args (@t98)) % 98.83/99.03 (step @p478 :rule trans :premises (@p477 @p451)) % 98.83/99.03 (step @p479 :rule cong :premises (@p478) :args (@t99)) % 98.83/99.03 (step @p480 :rule cong :premises (@p57) :args (@t304)) % 98.83/99.03 (step @p481 :rule symm :premises (@p480)) % 98.83/99.03 (step @p482 :rule symm :premises (@p153)) % 98.83/99.03 (step @p483 :rule refl :args (@t42)) % 98.83/99.03 (step @p484 :rule symm :premises (@p157)) % 98.83/99.03 (step @p485 :rule trans :premises (@p83 @p470 @p463 @p458 @p121)) % 98.83/99.03 (step @p486 :rule trans :premises (@p475 @p485)) % 98.83/99.03 (step @p487 :rule cong :premises (@p486 @p397) :args (@t98)) % 98.83/99.03 (step @p488 :rule symm :premises (@p475)) % 98.83/99.03 (step @p489 :rule refl :args (@t67)) % 98.83/99.03 (step @p490 :rule cong :premises (@p489 @p488) :args (@t224)) % 98.83/99.03 (step @p491 :rule symm :premises (@p127)) % 98.83/99.03 (step @p492 :rule cong :premises (@p491 @p475) :args (@t267)) % 98.83/99.03 (step @p493 :rule trans :premises (@p492 @p490 @p57 @p487 @p109)) % 98.83/99.03 (step @p494 :rule cong :premises (@p397 @p493) :args (@t268)) % 98.83/99.03 (step @p495 :rule symm :premises (@p159)) % 98.83/99.03 (step @p496 :rule trans :premises (@p495 @p494 @p484)) % 98.83/99.03 (step @p497 :rule trans :premises (@p496 @p135)) % 98.83/99.03 (step @p498 :rule cong :premises (@p497 @p483) :args (@t272)) % 98.83/99.03 (step @p499 :rule symm :premises (@p51)) % 98.83/99.03 (step @p500 :rule trans :premises (@p499 @p127)) % 98.83/99.03 (step @p501 :rule cong :premises (@p483 @p500) :args (@t189)) % 98.83/99.03 (step @p502 :rule trans :premises (@p91 @p501)) % 98.83/99.03 (step @p503 :rule refl :args (@t98)) % 98.83/99.03 (step @p504 :rule cong :premises (@p503 @p502) :args (@t260)) % 98.83/99.03 (step @p505 :rule trans :premises (@p155 @p504 @p161 @p498 @p482 @p481)) % 98.83/99.03 (step @p506 :rule trans :premises (@p505 @p480 @p479)) % 98.83/99.03 (step @p507 :rule cong :premises (@p506 @p389) :args ((tptp.product @t104 @t41))) % 98.83/99.03 (step @p508 :rule trans :premises (@p507 @p450 @p192 @p449 @p373 @p171)) % 98.83/99.03 (step @p509 :rule symm :premises (@p507)) % 98.83/99.03 (step @p510 :rule trans :premises (@p180 @p509)) % 98.83/99.03 (step @p511 :rule trans :premises (@p510 @p508 @p132)) % 98.83/99.03 (step @p512 :rule cong :premises (@p511 @p297) :args (@t294)) % 98.83/99.03 (step @p513 :rule symm :premises (@p133)) % 98.83/99.03 (step @p514 :rule trans :premises (@p513 @p179 @p512 @p369 @p367)) % 98.83/99.03 (step @p515 :rule cong :premises (@p514) :args ((tptp.i @t245))) % 98.83/99.03 (step @p516 :rule symm :premises (@p135)) % 98.83/99.03 (step @p517 :rule trans :premises (@p516 @p133)) % 98.83/99.03 (step @p518 :rule cong :premises (@p517) :args (@t115)) % 98.83/99.03 (step @p519 :rule symm :premises (@p181)) % 98.83/99.03 (step @p520 :rule cong :premises (@p480) :args ((tptp.i @t304))) % 98.83/99.03 (step @p521 :rule cong :premises (@p505) :args (@t283)) % 98.83/99.03 (step @p522 :rule trans :premises (@p470 @p463 @p458 @p121)) % 98.83/99.03 (step @p523 :rule cong :premises (@p522) :args ((tptp.i @t177))) % 98.83/99.03 (step @p524 :rule trans :premises (@p474 @p473)) % 98.83/99.03 (step @p525 :rule cong :premises (@p524) :args (@t67)) % 98.83/99.03 (step @p526 :rule trans :premises (@p525 @p523)) % 98.83/99.03 (step @p527 :rule cong :premises (@p127) :args (@t225)) % 98.83/99.03 (step @p528 :rule symm :premises (@p129)) % 98.83/99.03 (step @p529 :rule trans :premises (@p528 @p527)) % 98.83/99.03 (step @p530 :rule cong :premises (@p529 @p526) :args ((tptp.product @t237 @t67))) % 98.83/99.03 (step @p531 :rule cong :premises (@p129 @p489) :args (@t226)) % 98.83/99.03 (step @p532 :rule symm :premises (@p111)) % 98.83/99.03 (step @p533 :rule symm :premises (@p490)) % 98.83/99.03 (step @p534 :rule symm :premises (@p57)) % 98.83/99.03 (step @p535 :rule trans :premises (@p534 @p533 @p532 @p531 @p530 @p166 @p521 @p520 @p177)) % 98.83/99.03 (step @p536 :rule cong :premises (@p483 @p535) :args (@t194)) % 98.83/99.03 (step @p537 :rule trans :premises (@p94 @p536 @p519 @p518 @p515 @p366 @p182 @p365 @p295)) % 98.83/99.03 (step @p538 :rule cong :premises (@p537) :args (@t84)) % 98.83/99.03 (step @p539 :rule trans :premises (@p458 @p121 @p538 @p106 @p294 @p288)) % 98.83/99.03 (step-pop @p748 :rule scope :premises (@p539)) % 98.83/99.03 (step-pop @p749 :rule scope :premises (@p748)) % 98.83/99.03 (step-pop @p750 :rule scope :premises (@p749)) % 98.83/99.03 (step-pop @p751 :rule scope :premises (@p750)) % 98.83/99.03 (step-pop @p752 :rule scope :premises (@p751)) % 98.83/99.03 (step-pop @p753 :rule scope :premises (@p752)) % 98.83/99.03 (step-pop @p754 :rule scope :premises (@p753)) % 98.83/99.03 (step-pop @p755 :rule scope :premises (@p754)) % 98.83/99.03 (step-pop @p756 :rule scope :premises (@p755)) % 98.83/99.03 (step-pop @p757 :rule scope :premises (@p756)) % 98.83/99.03 (step-pop @p758 :rule scope :premises (@p757)) % 98.83/99.03 (step-pop @p759 :rule scope :premises (@p758)) % 98.83/99.03 (step-pop @p760 :rule scope :premises (@p759)) % 98.83/99.03 (step-pop @p761 :rule scope :premises (@p760)) % 98.83/99.03 (step-pop @p762 :rule scope :premises (@p761)) % 98.83/99.03 (step-pop @p763 :rule scope :premises (@p762)) % 98.83/99.03 (step-pop @p764 :rule scope :premises (@p763)) % 98.83/99.03 (step-pop @p765 :rule scope :premises (@p764)) % 98.83/99.03 (step-pop @p766 :rule scope :premises (@p765)) % 98.83/99.03 (step-pop @p767 :rule scope :premises (@p766)) % 98.83/99.03 (step-pop @p768 :rule scope :premises (@p767)) % 98.83/99.03 (step-pop @p769 :rule scope :premises (@p768)) % 98.83/99.03 (step-pop @p770 :rule scope :premises (@p769)) % 98.83/99.03 (step-pop @p771 :rule scope :premises (@p770)) % 98.83/99.03 (step-pop @p772 :rule scope :premises (@p771)) % 98.83/99.03 (step-pop @p773 :rule scope :premises (@p772)) % 98.83/99.03 (step-pop @p774 :rule scope :premises (@p773)) % 98.83/99.03 (step-pop @p775 :rule scope :premises (@p774)) % 98.83/99.03 (step-pop @p776 :rule scope :premises (@p775)) % 98.83/99.03 (step-pop @p777 :rule scope :premises (@p776)) % 98.83/99.03 (step-pop @p778 :rule scope :premises (@p777)) % 98.83/99.03 (step-pop @p779 :rule scope :premises (@p778)) % 98.83/99.03 (step-pop @p780 :rule scope :premises (@p779)) % 98.83/99.03 (step-pop @p781 :rule scope :premises (@p780)) % 98.83/99.03 (step-pop @p782 :rule scope :premises (@p781)) % 98.83/99.03 (step-pop @p783 :rule scope :premises (@p782)) % 98.83/99.03 (step-pop @p784 :rule scope :premises (@p783)) % 98.83/99.03 (step-pop @p785 :rule scope :premises (@p784)) % 98.83/99.03 (step-pop @p786 :rule scope :premises (@p785)) % 98.83/99.03 (step-pop @p787 :rule scope :premises (@p786)) % 98.83/99.03 (step-pop @p788 :rule scope :premises (@p787)) % 98.83/99.03 (step-pop @p789 :rule scope :premises (@p788)) % 98.83/99.03 (step-pop @p790 :rule scope :premises (@p789)) % 98.83/99.03 (step-pop @p791 :rule scope :premises (@p790)) % 98.83/99.03 (step-pop @p792 :rule scope :premises (@p791)) % 98.83/99.03 (step-pop @p793 :rule scope :premises (@p792)) % 98.83/99.03 (step-pop @p794 :rule scope :premises (@p793)) % 98.83/99.03 (step-pop @p795 :rule scope :premises (@p794)) % 98.83/99.03 (step-pop @p796 :rule scope :premises (@p795)) % 98.83/99.03 (step-pop @p797 :rule scope :premises (@p796)) % 98.83/99.03 (step-pop @p798 :rule scope :premises (@p797)) % 98.83/99.03 (step-pop @p799 :rule scope :premises (@p798)) % 98.83/99.03 (step-pop @p800 :rule scope :premises (@p799)) % 98.83/99.03 (step-pop @p801 :rule scope :premises (@p800)) % 98.83/99.03 (step-pop @p802 :rule scope :premises (@p801)) % 98.83/99.03 (step-pop @p803 :rule scope :premises (@p802)) % 98.83/99.03 (step-pop @p804 :rule scope :premises (@p803)) % 98.83/99.03 (step-pop @p805 :rule scope :premises (@p804)) % 98.83/99.03 (step-pop @p806 :rule scope :premises (@p805)) % 98.83/99.03 (step-pop @p807 :rule scope :premises (@p806)) % 98.83/99.03 (step-pop @p808 :rule scope :premises (@p807)) % 98.83/99.03 (step-pop @p809 :rule scope :premises (@p808)) % 98.83/99.03 (step-pop @p810 :rule scope :premises (@p809)) % 98.83/99.03 (step-pop @p811 :rule scope :premises (@p810)) % 98.83/99.03 (step-pop @p812 :rule scope :premises (@p811)) % 98.83/99.03 (step-pop @p813 :rule scope :premises (@p812)) % 98.83/99.03 (step-pop @p814 :rule scope :premises (@p813)) % 98.83/99.03 (step-pop @p815 :rule scope :premises (@p814)) % 98.83/99.03 (step-pop @p816 :rule scope :premises (@p815)) % 98.83/99.03 (step-pop @p817 :rule scope :premises (@p816)) % 98.83/99.03 (step-pop @p818 :rule scope :premises (@p817)) % 98.83/99.03 (step-pop @p819 :rule scope :premises (@p818)) % 98.83/99.03 (step-pop @p820 :rule scope :premises (@p819)) % 98.83/99.03 (step-pop @p821 :rule scope :premises (@p820)) % 98.83/99.03 (step-pop @p822 :rule scope :premises (@p821)) % 98.83/99.03 (step-pop @p823 :rule scope :premises (@p822)) % 98.83/99.03 (step-pop @p824 :rule scope :premises (@p823)) % 98.83/99.03 (step-pop @p825 :rule scope :premises (@p824)) % 98.83/99.03 (step-pop @p826 :rule scope :premises (@p825)) % 98.83/99.03 (step-pop @p827 :rule scope :premises (@p826)) % 98.83/99.03 (step-pop @p828 :rule scope :premises (@p827)) % 98.83/99.03 (step-pop @p829 :rule scope :premises (@p828)) % 98.83/99.03 (step-pop @p830 :rule scope :premises (@p829)) % 98.83/99.03 (step-pop @p831 :rule scope :premises (@p830)) % 98.83/99.03 (step-pop @p832 :rule scope :premises (@p831)) % 98.83/99.03 (step-pop @p833 :rule scope :premises (@p832)) % 98.83/99.03 (step-pop @p834 :rule scope :premises (@p833)) % 98.83/99.03 (step-pop @p835 :rule scope :premises (@p834)) % 98.83/99.03 (step-pop @p836 :rule scope :premises (@p835)) % 98.83/99.03 (step-pop @p837 :rule scope :premises (@p836)) % 98.83/99.03 (step-pop @p838 :rule scope :premises (@p837)) % 98.83/99.03 (step-pop @p839 :rule scope :premises (@p838)) % 98.83/99.03 (step-pop @p840 :rule scope :premises (@p839)) % 98.83/99.03 (step-pop @p841 :rule scope :premises (@p840)) % 98.83/99.03 (step-pop @p842 :rule scope :premises (@p841)) % 98.83/99.03 (step @p540 :rule process_scope :premises (@p842) :args (@t43)) % 98.83/99.03 (step @p636 :rule implies_elim :premises (@p540)) % 98.83/99.03 (step @p637 :rule cnf_and_neg :args (@t305)) % 98.83/99.03 (step @p638 :rule resolution :premises (@p637 @p636) :args (true @t305)) % 98.83/99.03 (step @p639 :rule reordering :premises (@p638) :args ((or @t43 (not @t124) (not @t125) (not @t127) (not @t129) (not @t131) (not @t133) (not @t135) (not @t136) (not @t138) (not @t139) (not @t142) (not @t143) (not @t145) (not @t147) (not @t149) (not @t151) (not @t153) (not @t155) (not @t157) (not @t159) (not @t161) (not @t164) (not @t56) (not @t63) (not @t167) (not @t170) (not @t172) (not @t175) (not @t179) (not @t183) (not @t185) (not @t187) (not @t188) (not @t190) (not @t191) (not @t193) (not @t195) (not @t196) (not @t198) (not @t200) (not @t202) (not @t204) (not @t206) (not @t208) (not @t210) (not @t213) (not @t215) (not @t218) (not @t220) (not @t223) (not @t227) (not @t230) (not @t232) (not @t87) (not @t234) (not @t236) (not @t238) (not @t240) (not @t242) (not @t244) (not @t246) (not @t247) (not @t248) (not @t249) (not @t251) (not @t252) (not @t253) (not @t254) (not @t255) (not @t97) (not @t256) (not @t257) (not @t259) (not @t261) (not @t262) (not @t263) (not @t265) (not @t269) (not @t271) (not @t273) (not @t276) (not @t278) (not @t280) (not @t282) (not @t284) (not @t288) (not @t113) (not @t290) (not @t293) (not @t295) (not @t296) (not @t297) (not @t299) (not @t301) (not @t123)))) % 98.83/99.03 (step @p640 false :rule chain_m_resolution :premises (@p639 @p192 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p116 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p69 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p40 @p39 @p38 @p37 @p33 @p29 @p25) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t123 @t301 @t299 @t297 @t296 @t295 @t293 @t290 @t113 @t288 @t284 @t282 @t280 @t278 @t276 @t273 @t271 @t269 @t265 @t263 @t262 @t261 @t259 @t257 @t256 @t97 @t255 @t254 @t253 @t252 @t251 @t249 @t248 @t247 @t246 @t244 @t242 @t240 @t238 @t236 @t234 @t87 @t232 @t230 @t227 @t223 @t220 @t218 @t215 @t213 @t210 @t208 @t206 @t204 @t202 @t200 @t198 @t196 @t195 @t193 @t191 @t190 @t188 @t187 @t185 @t183 @t179 @t175 @t172 @t170 @t167 @t63 @t56 @t164 @t161 @t159 @t157 @t155 @t153 @t151 @t149 @t147 @t145 @t143 @t142 @t139 @t138 @t136 @t135 @t133 @t131 @t129 @t127 @t125 @t124 @t43))) % 98.83/99.03 ) % 98.83/99.03 % SZS output end Proof % 98.83/99.04 % cvc5 exiting %------------------------------------------------------------------------------