%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP268-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:20:21 AM UTC 2026 % Result : Unsatisfiable 16.16s 16.48s % Output : Proof 16.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP268-1 : TPTP v9.2.1. Released v2.5.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n004.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 01:00:52 EDT 2026 % 0.18/0.34 % 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... % 16.14/16.31 --- Run --no-e-matching --full-saturate-quant at 6... % 16.16/16.48 % SZS status Unsatisfiable % 16.16/16.48 % SZS output start Proof % 16.16/16.49 ( % 16.16/16.49 (declare-sort $$unsorted 0) % 16.16/16.49 (declare-const tptp.sk_c4 $$unsorted) % 16.16/16.49 (declare-const tptp.sk_c1 $$unsorted) % 16.16/16.49 (declare-const tptp.sk_c5 $$unsorted) % 16.16/16.49 (declare-const tptp.sk_c8 $$unsorted) % 16.16/16.49 (declare-const tptp.sk_c7 $$unsorted) % 16.16/16.49 (declare-const tptp.sk_c3 $$unsorted) % 16.16/16.49 (declare-const tptp.sk_c6 $$unsorted) % 16.16/16.49 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.16/16.49 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.16/16.49 (declare-const tptp.sk_c2 $$unsorted) % 16.16/16.49 (declare-const tptp.identity $$unsorted) % 16.16/16.49 (define @t1 () (@var "X" $$unsorted)) % 16.16/16.49 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.16/16.49 (define @t3 () (@list @t1)) % 16.16/16.49 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.16/16.49 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.16/16.49 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.16/16.49 (define @t7 () (@var "Z" $$unsorted)) % 16.16/16.49 (define @t8 () (@var "Y" $$unsorted)) % 16.16/16.49 (define @t9 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 16.16/16.49 (define @t10 () (= @t9 tptp.sk_c7)) % 16.16/16.49 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 16.16/16.49 (define @t12 () (= @t11 tptp.sk_c7)) % 16.16/16.49 (define @t13 () (or @t12 @t10)) % 16.16/16.49 (define @t14 () (tptp.inverse tptp.sk_c5)) % 16.16/16.49 (define @t15 () (= @t14 tptp.sk_c8)) % 16.16/16.49 (define @t16 () (or @t12 @t15)) % 16.16/16.49 (define @t17 () (tptp.inverse tptp.sk_c6)) % 16.16/16.49 (define @t18 () (= @t17 tptp.sk_c7)) % 16.16/16.49 (define @t19 () (or @t12 @t18)) % 16.16/16.49 (define @t20 () (tptp.inverse tptp.sk_c1)) % 16.16/16.49 (define @t21 () (= @t20 tptp.sk_c8)) % 16.16/16.49 (define @t22 () (or @t21 @t10)) % 16.16/16.49 (define @t23 () (or @t21 @t15)) % 16.16/16.49 (define @t24 () (or @t21 @t18)) % 16.16/16.49 (define @t25 () (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c7)) % 16.16/16.49 (define @t26 () (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) % 16.16/16.49 (define @t27 () (tptp.multiply tptp.sk_c6 tptp.sk_c4)) % 16.16/16.49 (define @t28 () (= @t27 tptp.sk_c7)) % 16.16/16.49 (define @t29 () (or @t28 @t18)) % 16.16/16.49 (define @t30 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 16.16/16.49 (define @t31 () (= @t30 tptp.sk_c4)) % 16.16/16.49 (define @t32 () (or @t31 @t18)) % 16.16/16.49 (define @t33 () (tptp.inverse tptp.sk_c3)) % 16.16/16.49 (define @t34 () (= @t33 tptp.sk_c6)) % 16.16/16.49 (define @t35 () (or @t34 @t18)) % 16.16/16.49 (define @t36 () (not @t18)) % 16.16/16.49 (define @t37 () (@var "X1" $$unsorted)) % 16.16/16.49 (define @t38 () (tptp.inverse @t37)) % 16.16/16.49 (define @t39 () (not (= @t38 tptp.sk_c8))) % 16.16/16.49 (define @t40 () (tptp.multiply @t37 tptp.sk_c8)) % 16.16/16.49 (define @t41 () (not (= @t40 tptp.sk_c7))) % 16.16/16.49 (define @t42 () (@var "X5" $$unsorted)) % 16.16/16.49 (define @t43 () (tptp.inverse @t42)) % 16.16/16.49 (define @t44 () (not (= @t43 tptp.sk_c6))) % 16.16/16.49 (define @t45 () (@var "X4" $$unsorted)) % 16.16/16.49 (define @t46 () (tptp.multiply @t42 tptp.sk_c6)) % 16.16/16.49 (define @t47 () (not (= @t46 @t45))) % 16.16/16.49 (define @t48 () (tptp.multiply tptp.sk_c6 @t45)) % 16.16/16.49 (define @t49 () (not (= @t48 tptp.sk_c7))) % 16.16/16.49 (define @t50 () (@var "X3" $$unsorted)) % 16.16/16.49 (define @t51 () (tptp.inverse @t50)) % 16.16/16.49 (define @t52 () (not (= @t51 tptp.sk_c6))) % 16.16/16.49 (define @t53 () (tptp.multiply @t50 tptp.sk_c6)) % 16.16/16.49 (define @t54 () (not (= @t53 tptp.sk_c7))) % 16.16/16.49 (define @t55 () (@var "X2" $$unsorted)) % 16.16/16.49 (define @t56 () (tptp.inverse @t55)) % 16.16/16.49 (define @t57 () (not (= @t56 tptp.sk_c8))) % 16.16/16.49 (define @t58 () (tptp.multiply @t55 tptp.sk_c8)) % 16.16/16.49 (define @t59 () (not (= @t58 tptp.sk_c7))) % 16.16/16.49 (define @t60 () (or @t59 @t57 @t54 @t52 @t49 @t47 @t44 @t41 @t39 @t36)) % 16.16/16.49 (define @t61 () (@list @t55 @t50 @t45 @t42 @t37)) % 16.16/16.49 (define @t62 () (forall @t61 @t60)) % 16.16/16.49 (define @t63 () (= tptp.sk_c8 @t20)) % 16.16/16.49 (define @t64 () (= tptp.sk_c7 @t9)) % 16.16/16.49 (define @t65 () (= tptp.sk_c8 @t14)) % 16.16/16.49 (define @t66 () (= tptp.sk_c7 @t17)) % 16.16/16.49 (define @t67 () (not @t65)) % 16.16/16.49 (define @t68 () (not @t64)) % 16.16/16.49 (define @t69 () (or @t68 @t67)) % 16.16/16.49 (define @t70 () (not @t69)) % 16.16/16.49 (define @t71 () (not (= tptp.sk_c8 @t56))) % 16.16/16.49 (define @t72 () (not (= tptp.sk_c7 @t58))) % 16.16/16.49 (define @t73 () (or @t72 @t71)) % 16.16/16.49 (define @t74 () (forall (@list @t55) @t73)) % 16.16/16.49 (define @t75 () (@quantifiers_skolemize @t74 0)) % 16.16/16.49 (define @t76 () (tptp.inverse @t75)) % 16.16/16.49 (define @t77 () (= tptp.sk_c8 @t76)) % 16.16/16.49 (define @t78 () (not @t77)) % 16.16/16.49 (define @t79 () (tptp.multiply @t75 tptp.sk_c8)) % 16.16/16.49 (define @t80 () (= tptp.sk_c7 @t79)) % 16.16/16.49 (define @t81 () (not @t80)) % 16.16/16.49 (define @t82 () (or @t81 @t78)) % 16.16/16.49 (define @t83 () (not @t82)) % 16.16/16.49 (define @t84 () (not @t74)) % 16.16/16.49 (define @t85 () (@list tptp.identity)) % 16.16/16.49 (define @t86 () (@list tptp.sk_c8)) % 16.16/16.49 (define @t87 () (@list tptp.sk_c6)) % 16.16/16.49 (define @t88 () (@list @t75)) % 16.16/16.49 (define @t89 () (tptp.inverse tptp.sk_c8)) % 16.16/16.49 (define @t90 () (tptp.multiply tptp.identity tptp.identity)) % 16.16/16.49 (define @t91 () (= tptp.identity @t90)) % 16.16/16.49 (define @t92 () (tptp.multiply tptp.identity tptp.sk_c8)) % 16.16/16.49 (define @t93 () (= tptp.sk_c8 @t92)) % 16.16/16.49 (define @t94 () (tptp.multiply @t89 tptp.sk_c8)) % 16.16/16.49 (define @t95 () (= tptp.identity @t94)) % 16.16/16.49 (define @t96 () (tptp.multiply tptp.identity tptp.sk_c6)) % 16.16/16.49 (define @t97 () (= tptp.sk_c6 @t96)) % 16.16/16.49 (define @t98 () (tptp.multiply @t17 tptp.sk_c6)) % 16.16/16.49 (define @t99 () (= tptp.identity @t98)) % 16.16/16.49 (define @t100 () (tptp.multiply tptp.identity @t75)) % 16.16/16.49 (define @t101 () (tptp.multiply tptp.identity @t100)) % 16.16/16.49 (define @t102 () (tptp.multiply @t90 @t75)) % 16.16/16.49 (define @t103 () (= @t102 @t101)) % 16.16/16.49 (define @t104 () (= @t75 @t100)) % 16.16/16.49 (define @t105 () (tptp.multiply @t76 @t75)) % 16.16/16.49 (define @t106 () (= tptp.identity @t105)) % 16.16/16.49 (define @t107 () (tptp.multiply tptp.sk_c8 @t75)) % 16.16/16.49 (define @t108 () (tptp.multiply @t89 @t107)) % 16.16/16.49 (define @t109 () (tptp.multiply @t94 @t75)) % 16.16/16.49 (define @t110 () (= @t109 @t108)) % 16.16/16.49 (define @t111 () (tptp.multiply @t89 @t92)) % 16.16/16.49 (define @t112 () (tptp.multiply @t89 tptp.identity)) % 16.16/16.49 (define @t113 () (tptp.multiply @t112 tptp.sk_c8)) % 16.16/16.49 (define @t114 () (= @t113 @t111)) % 16.16/16.49 (define @t115 () (tptp.multiply tptp.identity @t96)) % 16.16/16.49 (define @t116 () (tptp.multiply @t90 tptp.sk_c6)) % 16.16/16.49 (define @t117 () (= tptp.sk_c6 @t17)) % 16.16/16.49 (define @t118 () (and @t66 @t80 @t77 @t91 @t93 @t95 @t97 @t99 @t103 @t104 @t106 @t110 @t114)) % 16.16/16.49 (define @t119 () (= tptp.sk_c7 @t96)) % 16.16/16.49 (define @t120 () (tptp.inverse tptp.identity)) % 16.16/16.49 (define @t121 () (@list @t120)) % 16.16/16.49 (define @t122 () (tptp.inverse @t120)) % 16.16/16.49 (define @t123 () (tptp.multiply @t120 tptp.identity)) % 16.16/16.49 (define @t124 () (= tptp.identity @t123)) % 16.16/16.49 (define @t125 () (tptp.multiply tptp.identity @t120)) % 16.16/16.49 (define @t126 () (= @t120 @t125)) % 16.16/16.49 (define @t127 () (tptp.multiply @t122 @t120)) % 16.16/16.49 (define @t128 () (= tptp.identity @t127)) % 16.16/16.49 (define @t129 () (tptp.multiply @t120 @t120)) % 16.16/16.49 (define @t130 () (tptp.multiply @t125 @t120)) % 16.16/16.49 (define @t131 () (= @t130 (tptp.multiply tptp.identity @t129))) % 16.16/16.49 (define @t132 () (tptp.multiply @t123 @t120)) % 16.16/16.49 (define @t133 () (= @t132 (tptp.multiply @t120 @t125))) % 16.16/16.49 (define @t134 () (tptp.multiply @t127 @t120)) % 16.16/16.49 (define @t135 () (= @t134 (tptp.multiply @t122 @t129))) % 16.16/16.49 (define @t136 () (= tptp.sk_c6 @t120)) % 16.16/16.49 (define @t137 () (and @t66 @t80 @t77 @t91 @t124 @t93 @t95 @t97 @t99 @t103 @t104 @t106 @t126 @t128 @t131 @t133 @t135 @t110 @t114)) % 16.16/16.49 (define @t138 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) % 16.16/16.49 (define @t139 () (not @t136)) % 16.16/16.49 (define @t140 () (not @t119)) % 16.16/16.49 (define @t141 () (or @t140 @t139)) % 16.16/16.49 (define @t142 () (not @t141)) % 16.16/16.49 (define @t143 () (not @t117)) % 16.16/16.49 (define @t144 () (not @t138)) % 16.16/16.49 (define @t145 () (or @t144 @t143)) % 16.16/16.49 (define @t146 () (not @t145)) % 16.16/16.49 (define @t147 () (not (= tptp.sk_c6 @t51))) % 16.16/16.49 (define @t148 () (not (= tptp.sk_c7 @t53))) % 16.16/16.49 (define @t149 () (or @t148 @t147)) % 16.16/16.49 (define @t150 () (forall (@list @t50) @t149)) % 16.16/16.49 (define @t151 () (not (= tptp.sk_c6 @t43))) % 16.16/16.49 (define @t152 () (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 @t46)))) % 16.16/16.49 (define @t153 () (or @t152 @t151)) % 16.16/16.49 (define @t154 () (@list @t42)) % 16.16/16.49 (define @t155 () (forall @t154 @t153)) % 16.16/16.49 (define @t156 () (not (= tptp.sk_c8 @t38))) % 16.16/16.49 (define @t157 () (not (= tptp.sk_c7 @t40))) % 16.16/16.49 (define @t158 () (or @t157 @t156)) % 16.16/16.49 (define @t159 () (forall (@list @t37) @t158)) % 16.16/16.49 (define @t160 () (not (= @t46 @t46))) % 16.16/16.49 (define @t161 () (or @t152 @t160 @t151)) % 16.16/16.49 (define @t162 () (not (= @t45 @t46))) % 16.16/16.49 (define @t163 () (not (= tptp.sk_c7 @t48))) % 16.16/16.49 (define @t164 () (or @t162 @t163 @t162 @t151)) % 16.16/16.49 (define @t165 () (@list @t45)) % 16.16/16.49 (define @t166 () (or @t163 @t162 @t151)) % 16.16/16.49 (define @t167 () (forall @t165 @t166)) % 16.16/16.49 (define @t168 () (forall @t154 @t167)) % 16.16/16.49 (define @t169 () (forall (@list @t42 @t45) @t166)) % 16.16/16.49 (define @t170 () (forall (@list @t45 @t42) @t166)) % 16.16/16.49 (define @t171 () (not @t66)) % 16.16/16.49 (define @t172 () (or @t171 @t74 @t150 @t170 @t159)) % 16.16/16.49 (define @t173 () (or @t171 @t73 @t149 @t166 @t158)) % 16.16/16.49 (define @t174 () (or @t72 @t71 @t148 @t147 @t163 @t162 @t151 @t157 @t156 @t171)) % 16.16/16.49 (define @t175 () (not @t63)) % 16.16/16.49 (define @t176 () (= tptp.sk_c7 @t11)) % 16.16/16.49 (define @t177 () (not @t176)) % 16.16/16.49 (define @t178 () (or @t177 @t175)) % 16.16/16.49 (define @t179 () (@list tptp.sk_c1)) % 16.16/16.49 (define @t180 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.16/16.49 (define @t181 () (= tptp.sk_c1 @t180)) % 16.16/16.49 (define @t182 () (tptp.multiply @t20 tptp.sk_c1)) % 16.16/16.49 (define @t183 () (= tptp.identity @t182)) % 16.16/16.49 (define @t184 () (tptp.multiply tptp.sk_c8 tptp.sk_c1)) % 16.16/16.49 (define @t185 () (tptp.multiply @t89 @t184)) % 16.16/16.49 (define @t186 () (tptp.multiply @t94 tptp.sk_c1)) % 16.16/16.49 (define @t187 () (= @t186 @t185)) % 16.16/16.49 (define @t188 () (tptp.multiply @t90 tptp.sk_c1)) % 16.16/16.49 (define @t189 () (tptp.multiply tptp.identity @t180)) % 16.16/16.49 (define @t190 () (and @t176 @t66 @t63 @t91 @t181 @t183 @t93 @t95 @t97 @t99 @t187 @t114)) % 16.16/16.49 (define @t191 () (not @t114)) % 16.16/16.49 (define @t192 () (not @t187)) % 16.16/16.49 (define @t193 () (not @t99)) % 16.16/16.49 (define @t194 () (not @t97)) % 16.16/16.49 (define @t195 () (not @t95)) % 16.16/16.49 (define @t196 () (not @t93)) % 16.16/16.49 (define @t197 () (not @t183)) % 16.16/16.49 (define @t198 () (not @t181)) % 16.16/16.49 (define @t199 () (not @t91)) % 16.16/16.49 (define @t200 () (and @t176 @t66 @t63 @t91 @t124 @t181 @t183 @t93 @t95 @t97 @t99 @t126 @t128 @t131 @t133 @t135 @t187 @t114)) % 16.16/16.49 (define @t201 () (not @t135)) % 16.16/16.49 (define @t202 () (not @t133)) % 16.16/16.49 (define @t203 () (not @t131)) % 16.16/16.49 (define @t204 () (not @t128)) % 16.16/16.49 (define @t205 () (not @t126)) % 16.16/16.49 (define @t206 () (not @t124)) % 16.16/16.49 (define @t207 () (= tptp.sk_c7 @t27)) % 16.16/16.49 (define @t208 () (= tptp.sk_c4 @t30)) % 16.16/16.49 (define @t209 () (= tptp.sk_c6 @t33)) % 16.16/16.49 (define @t210 () (tptp.multiply @t33 tptp.sk_c3)) % 16.16/16.49 (define @t211 () (= tptp.identity @t210)) % 16.16/16.49 (define @t212 () (tptp.multiply @t210 tptp.sk_c6)) % 16.16/16.49 (define @t213 () (= @t212 (tptp.multiply @t33 @t30))) % 16.16/16.49 (define @t214 () (and @t176 @t63 @t207 @t208 @t209 @t91 @t124 @t181 @t183 @t93 @t95 @t97 @t211 @t213 @t126 @t128 @t131 @t133 @t135 @t187 @t114)) % 16.16/16.49 (define @t215 () (@list true)) % 16.16/16.49 (define @t216 () (@list @t176)) % 16.16/16.49 (define @t217 () (@list false false)) % 16.16/16.49 (define @t218 () (@list @t74)) % 16.16/16.49 (define @t219 () (@list @t82)) % 16.16/16.49 (define @t220 () (@list false false false false false false false false false false false false false)) % 16.16/16.49 (define @t221 () (@list @t66 @t80 @t77 @t91 @t93 @t95 @t97 @t99 @t103 @t104 @t106 @t110 @t114)) % 16.16/16.49 (assume @p1 @t4) % 16.16/16.49 (assume @p2 @t6) % 16.16/16.49 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.16/16.49 (assume @p4 @t13) % 16.16/16.49 (assume @p5 @t16) % 16.16/16.49 (assume @p6 @t19) % 16.16/16.49 (assume @p7 @t22) % 16.16/16.49 (assume @p8 @t23) % 16.16/16.49 (assume @p9 @t24) % 16.16/16.49 (assume @p10 (or @t25 @t10)) % 16.16/16.49 (assume @p11 (or @t25 @t15)) % 16.16/16.49 (assume @p12 (or @t25 @t18)) % 16.16/16.49 (assume @p13 (or @t26 @t10)) % 16.16/16.49 (assume @p14 (or @t26 @t15)) % 16.16/16.49 (assume @p15 (or @t26 @t18)) % 16.16/16.49 (assume @p16 (or @t28 @t10)) % 16.16/16.49 (assume @p17 (or @t28 @t15)) % 16.16/16.49 (assume @p18 @t29) % 16.16/16.49 (assume @p19 (or @t31 @t10)) % 16.16/16.49 (assume @p20 (or @t31 @t15)) % 16.16/16.49 (assume @p21 @t32) % 16.16/16.49 (assume @p22 (or @t34 @t10)) % 16.16/16.49 (assume @p23 (or @t34 @t15)) % 16.16/16.49 (assume @p24 @t35) % 16.16/16.49 (assume @p25 @t62) % 16.16/16.49 (step @p26 :rule eq-symm :args (@t9 tptp.sk_c7)) % 16.16/16.49 (step @p27 :rule eq-symm :args (@t20 tptp.sk_c8)) % 16.16/16.49 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t22)) % 16.16/16.49 (step @p29 :rule eq_resolve :premises (@p7 @p28)) % 16.16/16.49 (step @p30 :rule reordering :premises (@p29) :args ((or @t64 @t63))) % 16.16/16.49 (step @p31 :rule eq-symm :args (@t14 tptp.sk_c8)) % 16.16/16.49 (step @p32 :rule nary_cong :premises (@p27 @p31) :args (@t23)) % 16.16/16.49 (step @p33 :rule eq_resolve :premises (@p8 @p32)) % 16.16/16.49 (step @p34 :rule reordering :premises (@p33) :args ((or @t65 @t63))) % 16.16/16.49 (step @p35 :rule eq-symm :args (@t17 tptp.sk_c7)) % 16.16/16.49 (step @p36 :rule nary_cong :premises (@p27 @p35) :args (@t24)) % 16.16/16.49 (step @p37 :rule eq_resolve :premises (@p9 @p36)) % 16.16/16.49 (step @p38 :rule reordering :premises (@p37) :args ((or @t66 @t63))) % 16.16/16.49 (step @p39 :rule cnf_or_pos :args (@t69)) % 16.16/16.49 (step @p40 :rule reordering :premises (@p39) :args ((or @t68 @t67 @t70))) % 16.16/16.49 (assume-push @p958 @t74) % 16.16/16.49 (step @p42 :rule instantiate :premises (@p958) :args ((@list tptp.sk_c5))) % 16.16/16.49 (step-pop @p959 :rule scope :premises (@p42)) % 16.16/16.49 (step @p43 :rule process_scope :premises (@p959) :args (@t69)) % 16.16/16.49 (step @p45 :rule implies_elim :premises (@p43)) % 16.16/16.49 (step @p46 :rule alpha_equiv :args (@t74 (@list @t55) (@list @t37))) % 16.16/16.49 (step @p47 :rule equiv_elim2 :premises (@p46)) % 16.16/16.49 (step @p48 :rule refl :args (@t83)) % 16.16/16.49 (step @p49 :rule bool-double-not-elim :args (@t74)) % 16.16/16.49 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t84) @t83))) % 16.16/16.49 (assume-push @p960 @t84) % 16.16/16.49 (step @p52 :rule skolemize :premises (@p960)) % 16.16/16.49 (step-pop @p961 :rule scope :premises (@p52)) % 16.16/16.49 (step @p53 :rule process_scope :premises (@p961) :args (@t83)) % 16.16/16.49 (step @p55 :rule implies_elim :premises (@p53)) % 16.16/16.49 (step @p56 :rule eq_resolve :premises (@p55 @p50)) % 16.16/16.49 (step @p57 :rule bool-double-not-elim :args (@t80)) % 16.16/16.49 (step @p58 :rule refl :args (@t82)) % 16.16/16.49 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t82 (not @t81)))) % 16.16/16.49 (step @p60 :rule cnf_or_neg :args (@t82 0)) % 16.16/16.49 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 16.16/16.49 (step @p62 :rule reordering :premises (@p61) :args ((or @t80 @t82))) % 16.16/16.49 (step @p63 :rule bool-double-not-elim :args (@t77)) % 16.16/16.49 (step @p64 :rule nary_cong :premises (@p58 @p63) :args ((or @t82 (not @t78)))) % 16.16/16.49 (step @p65 :rule cnf_or_neg :args (@t82 1)) % 16.16/16.49 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 16.16/16.49 (step @p67 :rule reordering :premises (@p66) :args ((or @t77 @t82))) % 16.16/16.49 (step @p68 :rule eq-symm :args (@t2 @t1)) % 16.16/16.49 (step @p69 :rule cong :premises (@p68) :args (@t4)) % 16.16/16.49 (step @p70 :rule eq_resolve :premises (@p1 @p69)) % 16.16/16.49 (step @p71 :rule instantiate :premises (@p70) :args (@t85)) % 16.16/16.49 (step @p72 :rule instantiate :premises (@p70) :args (@t86)) % 16.16/16.49 (step @p73 :rule eq-symm :args (@t5 tptp.identity)) % 16.16/16.49 (step @p74 :rule cong :premises (@p73) :args (@t6)) % 16.16/16.49 (step @p75 :rule eq_resolve :premises (@p2 @p74)) % 16.16/16.49 (step @p76 :rule instantiate :premises (@p75) :args (@t86)) % 16.16/16.49 (step @p77 :rule instantiate :premises (@p70) :args (@t87)) % 16.16/16.49 (step @p78 :rule instantiate :premises (@p75) :args (@t87)) % 16.16/16.49 (step @p79 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.identity @t75))) % 16.16/16.49 (step @p80 :rule instantiate :premises (@p70) :args (@t88)) % 16.16/16.49 (step @p81 :rule instantiate :premises (@p75) :args (@t88)) % 16.16/16.49 (step @p82 :rule instantiate :premises (@p3) :args ((@list @t89 tptp.sk_c8 @t75))) % 16.16/16.49 (step @p83 :rule instantiate :premises (@p3) :args ((@list @t89 tptp.identity tptp.sk_c8))) % 16.16/16.49 (assume-push @p962 @t66) % 16.16/16.49 (assume-push @p963 @t80) % 16.16/16.49 (assume-push @p964 @t77) % 16.16/16.49 (assume-push @p965 @t91) % 16.16/16.49 (assume-push @p966 @t93) % 16.16/16.49 (assume-push @p967 @t95) % 16.16/16.49 (assume-push @p968 @t97) % 16.16/16.49 (assume-push @p969 @t99) % 16.16/16.49 (assume-push @p970 @t103) % 16.16/16.49 (assume-push @p971 @t104) % 16.16/16.49 (assume-push @p972 @t106) % 16.16/16.49 (assume-push @p973 @t110) % 16.16/16.49 (assume-push @p974 @t114) % 16.16/16.49 (assume-push @p975 @t66) % 16.16/16.49 (assume-push @p976 @t80) % 16.16/16.49 (assume-push @p977 @t104) % 16.16/16.49 (assume-push @p978 @t91) % 16.16/16.49 (assume-push @p979 @t103) % 16.16/16.49 (assume-push @p980 @t95) % 16.16/16.49 (assume-push @p981 @t110) % 16.16/16.49 (assume-push @p982 @t77) % 16.16/16.49 (assume-push @p983 @t106) % 16.16/16.49 (assume-push @p984 @t114) % 16.16/16.49 (assume-push @p985 @t93) % 16.16/16.49 (assume-push @p986 @t99) % 16.16/16.49 (assume-push @p987 @t97) % 16.16/16.49 (step @p110 :rule symm :premises (@p963)) % 16.16/16.49 (step @p111 :rule refl :args (tptp.sk_c8)) % 16.16/16.49 (step @p112 :rule symm :premises (@p80)) % 16.16/16.49 (step @p113 :rule refl :args (@t75)) % 16.16/16.49 (step @p114 :rule symm :premises (@p71)) % 16.16/16.49 (step @p115 :rule cong :premises (@p114 @p113) :args (@t102)) % 16.16/16.49 (step @p116 :rule symm :premises (@p79)) % 16.16/16.49 (step @p117 :rule symm :premises (@p76)) % 16.16/16.49 (step @p118 :rule cong :premises (@p117 @p80) :args (@t109)) % 16.16/16.49 (step @p119 :rule symm :premises (@p82)) % 16.16/16.49 (step @p120 :rule symm :premises (@p964)) % 16.16/16.49 (step @p121 :rule cong :premises (@p120 @p113) :args (@t105)) % 16.16/16.49 (step @p122 :rule trans :premises (@p81 @p121)) % 16.16/16.49 (step @p123 :rule refl :args (@t89)) % 16.16/16.49 (step @p124 :rule cong :premises (@p123 @p122) :args (@t112)) % 16.16/16.49 (step @p125 :rule trans :premises (@p124 @p119 @p118 @p116 @p115 @p112)) % 16.16/16.49 (step @p126 :rule cong :premises (@p125 @p111) :args (@t113)) % 16.16/16.49 (step @p127 :rule symm :premises (@p83)) % 16.16/16.49 (step @p128 :rule cong :premises (@p123 @p72) :args (@t94)) % 16.16/16.49 (step @p129 :rule symm :premises (@p78)) % 16.16/16.49 (step @p130 :rule symm :premises (@p77)) % 16.16/16.49 (step @p131 :rule trans :premises (@p76 @p128 @p127 @p126 @p110 @p962)) % 16.16/16.49 (step @p132 :rule cong :premises (@p131 @p130) :args (@t115)) % 16.16/16.49 (step @p133 :rule cong :premises (@p114 @p77) :args (@t116)) % 16.16/16.49 (step @p134 :rule refl :args (tptp.sk_c6)) % 16.16/16.49 (step @p135 :rule cong :premises (@p71 @p134) :args (@t96)) % 16.16/16.49 (step @p136 :rule trans :premises (@p77 @p135 @p133 @p132 @p129 @p76 @p128 @p127 @p126 @p110 @p962)) % 16.16/16.49 (step-pop @p988 :rule scope :premises (@p136)) % 16.16/16.49 (step-pop @p989 :rule scope :premises (@p988)) % 16.16/16.49 (step-pop @p990 :rule scope :premises (@p989)) % 16.16/16.49 (step-pop @p991 :rule scope :premises (@p990)) % 16.16/16.49 (step-pop @p992 :rule scope :premises (@p991)) % 16.16/16.49 (step-pop @p993 :rule scope :premises (@p992)) % 16.16/16.49 (step-pop @p994 :rule scope :premises (@p993)) % 16.16/16.49 (step-pop @p995 :rule scope :premises (@p994)) % 16.16/16.49 (step-pop @p996 :rule scope :premises (@p995)) % 16.16/16.49 (step-pop @p997 :rule scope :premises (@p996)) % 16.16/16.49 (step-pop @p998 :rule scope :premises (@p997)) % 16.16/16.49 (step-pop @p999 :rule scope :premises (@p998)) % 16.16/16.49 (step-pop @p1000 :rule scope :premises (@p999)) % 16.16/16.49 (step @p137 :rule process_scope :premises (@p1000) :args (@t117)) % 16.16/16.49 (step @p151 :rule and_intro :premises (@p962 @p963 @p80 @p71 @p79 @p76 @p82 @p964 @p81 @p83 @p72 @p78 @p77)) % 16.16/16.49 (step @p152 :rule modus_ponens :premises (@p151 @p137)) % 16.16/16.49 (step-pop @p1001 :rule scope :premises (@p152)) % 16.16/16.49 (step-pop @p1002 :rule scope :premises (@p1001)) % 16.16/16.49 (step-pop @p1003 :rule scope :premises (@p1002)) % 16.16/16.49 (step-pop @p1004 :rule scope :premises (@p1003)) % 16.16/16.49 (step-pop @p1005 :rule scope :premises (@p1004)) % 16.16/16.49 (step-pop @p1006 :rule scope :premises (@p1005)) % 16.16/16.49 (step-pop @p1007 :rule scope :premises (@p1006)) % 16.16/16.49 (step-pop @p1008 :rule scope :premises (@p1007)) % 16.16/16.49 (step-pop @p1009 :rule scope :premises (@p1008)) % 16.16/16.49 (step-pop @p1010 :rule scope :premises (@p1009)) % 16.16/16.49 (step-pop @p1011 :rule scope :premises (@p1010)) % 16.16/16.49 (step-pop @p1012 :rule scope :premises (@p1011)) % 16.16/16.49 (step-pop @p1013 :rule scope :premises (@p1012)) % 16.16/16.49 (step @p153 :rule process_scope :premises (@p1013) :args (@t117)) % 16.16/16.49 (step @p167 :rule implies_elim :premises (@p153)) % 16.16/16.49 (step @p168 :rule cnf_and_neg :args (@t118)) % 16.16/16.49 (step @p169 :rule resolution :premises (@p168 @p167) :args (true @t118)) % 16.16/16.49 (assume-push @p1014 @t66) % 16.16/16.49 (assume-push @p1015 @t80) % 16.16/16.49 (assume-push @p1016 @t77) % 16.16/16.49 (assume-push @p1017 @t91) % 16.16/16.49 (assume-push @p1018 @t93) % 16.16/16.49 (assume-push @p1019 @t95) % 16.16/16.49 (assume-push @p1020 @t97) % 16.16/16.49 (assume-push @p1021 @t99) % 16.16/16.49 (assume-push @p1022 @t103) % 16.16/16.49 (assume-push @p1023 @t104) % 16.16/16.49 (assume-push @p1024 @t106) % 16.16/16.49 (assume-push @p1025 @t110) % 16.16/16.49 (assume-push @p1026 @t114) % 16.16/16.49 (assume-push @p1027 @t97) % 16.16/16.49 (assume-push @p1028 @t117) % 16.16/16.49 (assume-push @p1029 @t66) % 16.16/16.49 (step @p186 :rule symm :premises (@p1028)) % 16.16/16.49 (step @p187 :rule trans :premises (@p1014 @p186 @p77)) % 16.16/16.49 (step-pop @p1030 :rule scope :premises (@p187)) % 16.16/16.49 (step-pop @p1031 :rule scope :premises (@p1030)) % 16.16/16.49 (step-pop @p1032 :rule scope :premises (@p1031)) % 16.16/16.49 (step @p188 :rule process_scope :premises (@p1032) :args (@t119)) % 16.16/16.49 (assume-push @p1033 @t66) % 16.16/16.49 (assume-push @p1034 @t80) % 16.16/16.49 (assume-push @p1035 @t104) % 16.16/16.49 (assume-push @p1036 @t91) % 16.16/16.49 (assume-push @p1037 @t103) % 16.16/16.49 (assume-push @p1038 @t95) % 16.16/16.49 (assume-push @p1039 @t110) % 16.16/16.49 (assume-push @p1040 @t77) % 16.16/16.49 (assume-push @p1041 @t106) % 16.16/16.49 (assume-push @p1042 @t114) % 16.16/16.49 (assume-push @p1043 @t93) % 16.16/16.49 (assume-push @p1044 @t99) % 16.16/16.49 (assume-push @p1045 @t97) % 16.16/16.49 (step @p110 :rule symm :premises (@p1015)) % 16.16/16.49 (step @p111 :rule refl :args (tptp.sk_c8)) % 16.16/16.49 (step @p112 :rule symm :premises (@p80)) % 16.16/16.49 (step @p113 :rule refl :args (@t75)) % 16.16/16.49 (step @p114 :rule symm :premises (@p71)) % 16.16/16.49 (step @p115 :rule cong :premises (@p114 @p113) :args (@t102)) % 16.16/16.49 (step @p116 :rule symm :premises (@p79)) % 16.16/16.49 (step @p117 :rule symm :premises (@p76)) % 16.16/16.49 (step @p118 :rule cong :premises (@p117 @p80) :args (@t109)) % 16.16/16.49 (step @p119 :rule symm :premises (@p82)) % 16.16/16.49 (step @p120 :rule symm :premises (@p1016)) % 16.16/16.49 (step @p121 :rule cong :premises (@p120 @p113) :args (@t105)) % 16.16/16.49 (step @p122 :rule trans :premises (@p81 @p121)) % 16.16/16.49 (step @p123 :rule refl :args (@t89)) % 16.16/16.49 (step @p124 :rule cong :premises (@p123 @p122) :args (@t112)) % 16.16/16.49 (step @p125 :rule trans :premises (@p124 @p119 @p118 @p116 @p115 @p112)) % 16.16/16.49 (step @p126 :rule cong :premises (@p125 @p111) :args (@t113)) % 16.16/16.49 (step @p127 :rule symm :premises (@p83)) % 16.16/16.49 (step @p128 :rule cong :premises (@p123 @p72) :args (@t94)) % 16.16/16.49 (step @p129 :rule symm :premises (@p78)) % 16.16/16.49 (step @p130 :rule symm :premises (@p77)) % 16.16/16.49 (step @p131 :rule trans :premises (@p76 @p128 @p127 @p126 @p110 @p1014)) % 16.16/16.49 (step @p132 :rule cong :premises (@p131 @p130) :args (@t115)) % 16.16/16.49 (step @p133 :rule cong :premises (@p114 @p77) :args (@t116)) % 16.16/16.49 (step @p134 :rule refl :args (tptp.sk_c6)) % 16.16/16.49 (step @p135 :rule cong :premises (@p71 @p134) :args (@t96)) % 16.16/16.49 (step @p136 :rule trans :premises (@p77 @p135 @p133 @p132 @p129 @p76 @p128 @p127 @p126 @p110 @p1014)) % 16.16/16.49 (step-pop @p1046 :rule scope :premises (@p136)) % 16.16/16.49 (step-pop @p1047 :rule scope :premises (@p1046)) % 16.16/16.49 (step-pop @p1048 :rule scope :premises (@p1047)) % 16.16/16.49 (step-pop @p1049 :rule scope :premises (@p1048)) % 16.16/16.49 (step-pop @p1050 :rule scope :premises (@p1049)) % 16.16/16.49 (step-pop @p1051 :rule scope :premises (@p1050)) % 16.16/16.49 (step-pop @p1052 :rule scope :premises (@p1051)) % 16.16/16.49 (step-pop @p1053 :rule scope :premises (@p1052)) % 16.16/16.49 (step-pop @p1054 :rule scope :premises (@p1053)) % 16.16/16.49 (step-pop @p1055 :rule scope :premises (@p1054)) % 16.16/16.49 (step-pop @p1056 :rule scope :premises (@p1055)) % 16.16/16.49 (step-pop @p1057 :rule scope :premises (@p1056)) % 16.16/16.49 (step-pop @p1058 :rule scope :premises (@p1057)) % 16.16/16.49 (step @p205 :rule process_scope :premises (@p1058) :args (@t117)) % 16.16/16.49 (step @p219 :rule and_intro :premises (@p1014 @p1015 @p80 @p71 @p79 @p76 @p82 @p1016 @p81 @p83 @p72 @p78 @p77)) % 16.16/16.49 (step @p220 :rule modus_ponens :premises (@p219 @p205)) % 16.16/16.49 (step @p221 :rule and_intro :premises (@p77 @p220 @p1014)) % 16.16/16.49 (step @p222 :rule modus_ponens :premises (@p221 @p188)) % 16.16/16.49 (step-pop @p1059 :rule scope :premises (@p222)) % 16.16/16.49 (step-pop @p1060 :rule scope :premises (@p1059)) % 16.16/16.49 (step-pop @p1061 :rule scope :premises (@p1060)) % 16.16/16.49 (step-pop @p1062 :rule scope :premises (@p1061)) % 16.16/16.49 (step-pop @p1063 :rule scope :premises (@p1062)) % 16.16/16.49 (step-pop @p1064 :rule scope :premises (@p1063)) % 16.16/16.49 (step-pop @p1065 :rule scope :premises (@p1064)) % 16.16/16.49 (step-pop @p1066 :rule scope :premises (@p1065)) % 16.16/16.49 (step-pop @p1067 :rule scope :premises (@p1066)) % 16.16/16.49 (step-pop @p1068 :rule scope :premises (@p1067)) % 16.16/16.49 (step-pop @p1069 :rule scope :premises (@p1068)) % 16.16/16.49 (step-pop @p1070 :rule scope :premises (@p1069)) % 16.16/16.49 (step-pop @p1071 :rule scope :premises (@p1070)) % 16.16/16.49 (step @p223 :rule process_scope :premises (@p1071) :args (@t119)) % 16.16/16.49 (step @p237 :rule implies_elim :premises (@p223)) % 16.16/16.49 (step @p238 :rule resolution :premises (@p168 @p237) :args (true @t118)) % 16.16/16.49 (step @p239 :rule instantiate :premises (@p75) :args (@t85)) % 16.16/16.49 (step @p240 :rule instantiate :premises (@p70) :args (@t121)) % 16.16/16.49 (step @p241 :rule instantiate :premises (@p75) :args (@t121)) % 16.16/16.49 (step @p242 :rule instantiate :premises (@p3) :args ((@list tptp.identity @t120 @t120))) % 16.16/16.49 (step @p243 :rule instantiate :premises (@p3) :args ((@list @t120 tptp.identity @t120))) % 16.16/16.50 (step @p244 :rule instantiate :premises (@p3) :args ((@list @t122 @t120 @t120))) % 16.16/16.50 (assume-push @p1072 @t66) % 16.16/16.50 (assume-push @p1073 @t80) % 16.16/16.50 (assume-push @p1074 @t77) % 16.16/16.50 (assume-push @p1075 @t91) % 16.16/16.50 (assume-push @p1076 @t124) % 16.16/16.50 (assume-push @p1077 @t93) % 16.16/16.50 (assume-push @p1078 @t95) % 16.16/16.50 (assume-push @p1079 @t97) % 16.16/16.50 (assume-push @p1080 @t99) % 16.16/16.50 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16.16/16.50 (step-pop @p1249 :rule scope :premises (@p1248)) % 16.16/16.50 (step-pop @p1250 :rule scope :premises (@p1249)) % 16.16/16.50 (step-pop @p1251 :rule scope :premises (@p1250)) % 16.16/16.50 (step-pop @p1252 :rule scope :premises (@p1251)) % 16.16/16.50 (step-pop @p1253 :rule scope :premises (@p1252)) % 16.16/16.50 (step @p566 :rule process_scope :premises (@p1253) :args (@t117)) % 16.16/16.50 (step @p579 :rule implies_elim :premises (@p566)) % 16.16/16.50 (step @p580 :rule cnf_and_neg :args (@t190)) % 16.16/16.50 (step @p581 :rule resolution :premises (@p580 @p579) :args (true @t190)) % 16.16/16.50 (step @p582 :rule reordering :premises (@p581) :args ((or @t171 @t177 @t175 @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t117))) % 16.16/16.50 (assume-push @p1254 @t176) % 16.16/16.50 (assume-push @p1255 @t66) % 16.16/16.50 (assume-push @p1256 @t63) % 16.16/16.50 (assume-push @p1257 @t91) % 16.16/16.50 (assume-push @p1258 @t181) % 16.16/16.50 (assume-push @p1259 @t183) % 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16.16/16.50 (step-pop @p1294 :rule scope :premises (@p1293)) % 16.16/16.50 (step-pop @p1295 :rule scope :premises (@p1294)) % 16.16/16.50 (step-pop @p1296 :rule scope :premises (@p1295)) % 16.16/16.50 (step-pop @p1297 :rule scope :premises (@p1296)) % 16.16/16.50 (step-pop @p1298 :rule scope :premises (@p1297)) % 16.16/16.50 (step-pop @p1299 :rule scope :premises (@p1298)) % 16.16/16.50 (step-pop @p1300 :rule scope :premises (@p1299)) % 16.16/16.50 (step-pop @p1301 :rule scope :premises (@p1300)) % 16.16/16.50 (step @p639 :rule process_scope :premises (@p1301) :args (@t138)) % 16.16/16.50 (step @p652 :rule implies_elim :premises (@p639)) % 16.16/16.50 (step @p653 :rule resolution :premises (@p580 @p652) :args (true @t190)) % 16.16/16.50 (step @p654 :rule reordering :premises (@p653) :args ((or @t171 @t177 @t175 @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t138))) % 16.16/16.50 (assume-push @p1302 @t176) % 16.16/16.50 (assume-push @p1303 @t66) % 16.16/16.50 (assume-push @p1304 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(step @p540 :rule cong :premises (@p117 @p508) :args (@t186)) % 16.16/16.50 (step @p541 :rule symm :premises (@p510)) % 16.16/16.50 (step @p871 :rule symm :premises (@p1423)) % 16.16/16.50 (step @p872 :rule cong :premises (@p871 @p537) :args (@t182)) % 16.16/16.50 (step @p873 :rule trans :premises (@p509 @p872)) % 16.16/16.50 (step @p123 :rule refl :args (@t89)) % 16.16/16.50 (step @p874 :rule cong :premises (@p123 @p873) :args (@t112)) % 16.16/16.50 (step @p875 :rule trans :premises (@p874 @p541 @p540 @p539 @p538 @p536)) % 16.16/16.50 (step @p876 :rule cong :premises (@p875 @p111) :args (@t113)) % 16.16/16.50 (step @p127 :rule symm :premises (@p83)) % 16.16/16.50 (step @p128 :rule cong :premises (@p123 @p72) :args (@t94)) % 16.16/16.50 (step @p877 :rule trans :premises (@p76 @p128 @p127 @p876 @p870 @p1424 @p869 @p868 @p867 @p381 @p380 @p130)) % 16.16/16.50 (step @p878 :rule cong :premises (@p877) :args (@t120)) % 16.16/16.50 (step @p283 :rule symm :premises (@p240)) % 16.16/16.50 (step @p284 :rule refl :args (@t120)) % 16.16/16.50 (step @p285 :rule symm :premises (@p239)) % 16.16/16.50 (step @p286 :rule cong :premises (@p285 @p284) :args (@t132)) % 16.16/16.50 (step @p287 :rule symm :premises (@p243)) % 16.16/16.50 (step @p288 :rule cong :premises (@p284 @p240) :args (@t129)) % 16.16/16.50 (step @p289 :rule cong :premises (@p283 @p284) :args (@t130)) % 16.16/16.50 (step @p290 :rule symm :premises (@p242)) % 16.16/16.50 (step @p291 :rule symm :premises (@p288)) % 16.16/16.50 (step @p292 :rule symm :premises (@p286)) % 16.16/16.50 (step @p293 :rule trans :premises (@p240 @p292 @p243 @p291)) % 16.16/16.50 (step @p294 :rule symm :premises (@p241)) % 16.16/16.50 (step @p295 :rule cong :premises (@p294 @p293) :args (@t134)) % 16.16/16.50 (step @p296 :rule symm :premises (@p244)) % 16.16/16.50 (step @p297 :rule refl :args (@t122)) % 16.16/16.50 (step @p298 :rule cong :premises (@p297 @p293) :args (@t127)) % 16.16/16.50 (step @p382 :rule symm :premises (@p72)) % 16.16/16.50 (step @p383 :rule cong :premises (@p123 @p382) :args (@t111)) % 16.16/16.50 (step @p879 :rule symm :premises (@p876)) % 16.16/16.50 (step @p880 :rule trans :premises (@p1422 @p879 @p83 @p383 @p117 @p241 @p298 @p296 @p295 @p290 @p289 @p288 @p287 @p286 @p283 @p878)) % 16.16/16.50 (step-pop @p1464 :rule scope :premises (@p880)) % 16.16/16.50 (step-pop @p1465 :rule scope :premises (@p1464)) % 16.16/16.50 (step-pop @p1466 :rule scope :premises (@p1465)) % 16.16/16.50 (step-pop @p1467 :rule scope :premises (@p1466)) % 16.16/16.50 (step-pop @p1468 :rule scope :premises (@p1467)) % 16.16/16.50 (step-pop @p1469 :rule scope :premises (@p1468)) % 16.16/16.50 (step-pop @p1470 :rule scope :premises (@p1469)) % 16.16/16.50 (step-pop @p1471 :rule scope :premises (@p1470)) % 16.16/16.50 (step-pop @p1472 :rule scope :premises (@p1471)) % 16.16/16.50 (step-pop @p1473 :rule scope :premises (@p1472)) % 16.16/16.50 (step-pop @p1474 :rule scope :premises (@p1473)) % 16.16/16.50 (step-pop @p1475 :rule scope :premises (@p1474)) % 16.16/16.50 (step-pop @p1476 :rule scope :premises (@p1475)) % 16.16/16.50 (step-pop @p1477 :rule scope :premises (@p1476)) % 16.16/16.50 (step-pop @p1478 :rule scope :premises (@p1477)) % 16.16/16.50 (step-pop @p1479 :rule scope :premises (@p1478)) % 16.16/16.50 (step-pop @p1480 :rule scope :premises (@p1479)) % 16.16/16.50 (step-pop @p1481 :rule scope :premises (@p1480)) % 16.16/16.50 (step-pop @p1482 :rule scope :premises (@p1481)) % 16.16/16.50 (step-pop @p1483 :rule scope :premises (@p1482)) % 16.16/16.50 (step-pop @p1484 :rule scope :premises (@p1483)) % 16.16/16.50 (step @p881 :rule process_scope :premises (@p1484) :args (@t66)) % 16.16/16.50 (step @p903 :rule and_intro :premises (@p77 @p71 @p822 @p823 @p1426 @p1425 @p1424 @p1422 @p508 @p76 @p510 @p1423 @p509 @p83 @p72 @p240 @p239 @p243 @p242 @p241 @p244)) % 16.16/16.50 (step @p904 :rule modus_ponens :premises (@p903 @p881)) % 16.16/16.50 (step-pop @p1485 :rule scope :premises (@p904)) % 16.16/16.50 (step-pop @p1486 :rule scope :premises (@p1485)) % 16.16/16.50 (step-pop @p1487 :rule scope :premises (@p1486)) % 16.16/16.50 (step-pop @p1488 :rule scope :premises (@p1487)) % 16.16/16.50 (step-pop @p1489 :rule scope :premises (@p1488)) % 16.16/16.50 (step-pop @p1490 :rule scope :premises (@p1489)) % 16.16/16.50 (step-pop @p1491 :rule scope :premises (@p1490)) % 16.16/16.50 (step-pop @p1492 :rule scope :premises (@p1491)) % 16.16/16.50 (step-pop @p1493 :rule scope :premises (@p1492)) % 16.16/16.50 (step-pop @p1494 :rule scope :premises (@p1493)) % 16.16/16.50 (step-pop @p1495 :rule scope :premises (@p1494)) % 16.16/16.50 (step-pop @p1496 :rule scope :premises (@p1495)) % 16.16/16.50 (step-pop @p1497 :rule scope :premises (@p1496)) % 16.16/16.50 (step-pop @p1498 :rule scope :premises (@p1497)) % 16.16/16.50 (step-pop @p1499 :rule scope :premises (@p1498)) % 16.16/16.50 (step-pop @p1500 :rule scope :premises (@p1499)) % 16.16/16.50 (step-pop @p1501 :rule scope :premises (@p1500)) % 16.16/16.50 (step-pop @p1502 :rule scope :premises (@p1501)) % 16.16/16.50 (step-pop @p1503 :rule scope :premises (@p1502)) % 16.16/16.50 (step-pop @p1504 :rule scope :premises (@p1503)) % 16.16/16.50 (step-pop @p1505 :rule scope :premises (@p1504)) % 16.16/16.50 (step @p905 :rule process_scope :premises (@p1505) :args (@t66)) % 16.16/16.50 (step @p927 :rule implies_elim :premises (@p905)) % 16.16/16.50 (step @p928 :rule cnf_and_neg :args (@t214)) % 16.16/16.50 (step @p929 :rule resolution :premises (@p928 @p927) :args (true @t214)) % 16.16/16.50 (step @p930 :rule reordering :premises (@p929) :args ((or @t66 @t177 @t175 (not @t207) (not @t208) (not @t209) @t199 @t206 @t198 @t197 @t196 @t195 @t194 (not @t211) (not @t213) @t205 @t204 @t203 @t202 @t201 @t192 @t191))) % 16.16/16.50 (step @p931 :rule chain_m_resolution :premises (@p930 @p83 @p510 @p244 @p243 @p242 @p241 @p240 @p823 @p822 @p77 @p76 @p72 @p509 @p508 @p239 @p71 @p821 @p817 @p813 @p809) :args (@t178 (@list false false false false false false false false false false false false false false false false false false false true) (@list @t114 @t187 @t135 @t133 @t131 @t128 @t126 @t213 @t211 @t97 @t95 @t93 @t183 @t181 @t124 @t91 @t209 @t208 @t207 @t66))) % 16.16/16.50 (step @p932 :rule chain_m_resolution :premises (@p931 @p500) :args (@t177 (@list false) (@list @t63))) % 16.16/16.50 (step @p933 :rule eq-symm :args (@t11 tptp.sk_c7)) % 16.16/16.50 (step @p934 :rule nary_cong :premises (@p933 @p31) :args (@t16)) % 16.16/16.50 (step @p935 :rule eq_resolve :premises (@p5 @p934)) % 16.16/16.50 (step @p936 :rule chain_m_resolution :premises (@p935 @p932) :args (@t65 @t215 @t216)) % 16.16/16.50 (step @p937 :rule nary_cong :premises (@p933 @p26) :args (@t13)) % 16.16/16.50 (step @p938 :rule eq_resolve :premises (@p4 @p937)) % 16.16/16.50 (step @p939 :rule chain_m_resolution :premises (@p938 @p932) :args (@t64 @t215 @t216)) % 16.16/16.50 (step @p940 :rule chain_m_resolution :premises (@p40 @p939 @p936) :args (@t70 @t217 (@list @t64 @t65))) % 16.16/16.50 (step @p941 :rule chain_m_resolution :premises (@p45 @p940) :args (@t84 @t215 (@list @t69))) % 16.16/16.50 (step @p942 :rule chain_m_resolution :premises (@p47 @p941) :args ((not @t159) @t215 @t218)) % 16.16/16.50 (step @p943 :rule nary_cong :premises (@p933 @p35) :args (@t19)) % 16.16/16.50 (step @p944 :rule eq_resolve :premises (@p6 @p943)) % 16.16/16.50 (step @p945 :rule chain_m_resolution :premises (@p944 @p932) :args (@t66 @t215 @t216)) % 16.16/16.50 (step @p946 :rule chain_m_resolution :premises (@p56 @p941) :args (@t83 @t215 @t218)) % 16.16/16.50 (step @p947 :rule chain_m_resolution :premises (@p67 @p946) :args (@t77 @t215 @t219)) % 16.16/16.50 (step @p948 :rule chain_m_resolution :premises (@p62 @p946) :args (@t80 @t215 @t219)) % 16.16/16.50 (step @p949 :rule chain_m_resolution :premises (@p169 @p945 @p948 @p947 @p71 @p72 @p76 @p77 @p78 @p79 @p80 @p81 @p82 @p83) :args (@t117 @t220 @t221)) % 16.16/16.50 (step @p950 :rule chain_m_resolution :premises (@p431 @p945 @p948 @p947 @p71 @p72 @p76 @p77 @p78 @p79 @p80 @p81 @p82 @p83) :args (@t138 @t220 @t221)) % 16.16/16.50 (step @p951 :rule chain_m_resolution :premises (@p435 @p950 @p949) :args (@t146 @t217 (@list @t138 @t117))) % 16.16/16.50 (step @p952 :rule chain_m_resolution :premises (@p445 @p951) :args ((not @t155) @t215 (@list @t145))) % 16.16/16.50 (step @p953 :rule chain_m_resolution :premises (@p353 @p945 @p948 @p947 @p71 @p239 @p72 @p76 @p77 @p78 @p79 @p80 @p81 @p240 @p241 @p242 @p243 @p244 @p82 @p83) :args (@t136 (@list false false false false false false false false false false false false false false false false false false false) (@list @t66 @t80 @t77 @t91 @t124 @t93 @t95 @t97 @t99 @t103 @t104 @t106 @t126 @t128 @t131 @t133 @t135 @t110 @t114))) % 16.16/16.50 (step @p954 :rule chain_m_resolution :premises (@p238 @p945 @p948 @p947 @p71 @p72 @p76 @p77 @p78 @p79 @p80 @p81 @p82 @p83) :args (@t119 @t220 @t221)) % 16.16/16.50 (step @p955 :rule chain_m_resolution :premises (@p433 @p954 @p953) :args (@t142 @t217 (@list @t119 @t136))) % 16.16/16.50 (step @p956 :rule chain_m_resolution :premises (@p440 @p955) :args ((not @t150) @t215 (@list @t141))) % 16.16/16.50 (step @p957 false :rule chain_m_resolution :premises (@p499 @p956 @p952 @p941 @p945 @p942) :args (false (@list true true true false true) (@list @t150 @t155 @t74 @t66 @t159))) % 16.16/16.50 ) % 16.16/16.50 % SZS output end Proof % 16.16/16.50 % cvc5 exiting %------------------------------------------------------------------------------