%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP236-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:20:16 AM UTC 2026 % Result : Unsatisfiable 17.10s 17.37s % Output : Proof 17.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP236-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 19:59:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.72/15.96 --- Run --no-e-matching --full-saturate-quant at 6... % 17.10/17.37 % SZS status Unsatisfiable % 17.10/17.37 % SZS output start Proof % 17.10/17.39 ( % 17.10/17.39 (declare-sort $$unsorted 0) % 17.10/17.39 (declare-const tptp.sk_c2 $$unsorted) % 17.10/17.39 (declare-const tptp.sk_c3 $$unsorted) % 17.10/17.39 (declare-const tptp.sk_c1 $$unsorted) % 17.10/17.39 (declare-const tptp.sk_c5 $$unsorted) % 17.10/17.39 (declare-const tptp.sk_c4 $$unsorted) % 17.10/17.39 (declare-const tptp.sk_c8 $$unsorted) % 17.10/17.39 (declare-const tptp.sk_c6 $$unsorted) % 17.10/17.39 (declare-const tptp.sk_c7 $$unsorted) % 17.10/17.39 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 17.10/17.39 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 17.10/17.39 (declare-const tptp.identity $$unsorted) % 17.10/17.39 (define @t1 () (@var "X" $$unsorted)) % 17.10/17.39 (define @t2 () (tptp.multiply tptp.identity @t1)) % 17.10/17.39 (define @t3 () (@list @t1)) % 17.10/17.39 (define @t4 () (forall @t3 (= @t2 @t1))) % 17.10/17.39 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 17.10/17.39 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 17.10/17.39 (define @t7 () (@var "Z" $$unsorted)) % 17.10/17.39 (define @t8 () (@var "Y" $$unsorted)) % 17.10/17.39 (define @t9 () (tptp.inverse tptp.sk_c8)) % 17.10/17.39 (define @t10 () (= @t9 tptp.sk_c7)) % 17.10/17.39 (define @t11 () (tptp.inverse tptp.sk_c4)) % 17.10/17.39 (define @t12 () (= @t11 tptp.sk_c8)) % 17.10/17.39 (define @t13 () (tptp.inverse tptp.sk_c1)) % 17.10/17.39 (define @t14 () (= @t13 tptp.sk_c8)) % 17.10/17.39 (define @t15 () (or @t14 @t12)) % 17.10/17.39 (define @t16 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 17.10/17.39 (define @t17 () (= @t16 tptp.sk_c8)) % 17.10/17.39 (define @t18 () (or @t14 @t17)) % 17.10/17.39 (define @t19 () (tptp.multiply tptp.sk_c8 tptp.sk_c6)) % 17.10/17.39 (define @t20 () (= @t19 tptp.sk_c7)) % 17.10/17.39 (define @t21 () (or @t14 @t20)) % 17.10/17.39 (define @t22 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 17.10/17.39 (define @t23 () (= @t22 tptp.sk_c6)) % 17.10/17.39 (define @t24 () (or @t14 @t23)) % 17.10/17.39 (define @t25 () (tptp.inverse tptp.sk_c5)) % 17.10/17.39 (define @t26 () (= @t25 tptp.sk_c8)) % 17.10/17.39 (define @t27 () (or @t14 @t26)) % 17.10/17.39 (define @t28 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 17.10/17.39 (define @t29 () (= @t28 tptp.sk_c8)) % 17.10/17.39 (define @t30 () (or @t29 @t12)) % 17.10/17.39 (define @t31 () (or @t29 @t17)) % 17.10/17.39 (define @t32 () (tptp.multiply tptp.sk_c2 tptp.sk_c3)) % 17.10/17.39 (define @t33 () (= @t32 tptp.sk_c7)) % 17.10/17.39 (define @t34 () (or @t33 @t12)) % 17.10/17.39 (define @t35 () (or @t33 @t20)) % 17.10/17.39 (define @t36 () (or @t33 @t23)) % 17.10/17.39 (define @t37 () (or @t33 @t26)) % 17.10/17.39 (define @t38 () (tptp.inverse tptp.sk_c2)) % 17.10/17.39 (define @t39 () (= @t38 tptp.sk_c3)) % 17.10/17.39 (define @t40 () (or @t39 @t12)) % 17.10/17.39 (define @t41 () (or @t39 @t20)) % 17.10/17.39 (define @t42 () (or @t39 @t23)) % 17.10/17.39 (define @t43 () (or @t39 @t26)) % 17.10/17.39 (define @t44 () (tptp.multiply tptp.sk_c3 tptp.sk_c8)) % 17.10/17.39 (define @t45 () (= @t44 tptp.sk_c7)) % 17.10/17.39 (define @t46 () (or @t45 @t12)) % 17.10/17.39 (define @t47 () (or @t45 @t20)) % 17.10/17.39 (define @t48 () (or @t45 @t23)) % 17.10/17.39 (define @t49 () (or @t45 @t26)) % 17.10/17.39 (define @t50 () (@var "X3" $$unsorted)) % 17.10/17.39 (define @t51 () (tptp.inverse @t50)) % 17.10/17.39 (define @t52 () (not (= @t51 tptp.sk_c8))) % 17.10/17.39 (define @t53 () (@var "X2" $$unsorted)) % 17.10/17.39 (define @t54 () (tptp.multiply @t50 tptp.sk_c8)) % 17.10/17.39 (define @t55 () (not (= @t54 @t53))) % 17.10/17.39 (define @t56 () (tptp.multiply tptp.sk_c8 @t53)) % 17.10/17.39 (define @t57 () (not (= @t56 tptp.sk_c7))) % 17.10/17.39 (define @t58 () (@var "X1" $$unsorted)) % 17.10/17.39 (define @t59 () (tptp.multiply @t58 tptp.sk_c7)) % 17.10/17.39 (define @t60 () (not (= @t59 tptp.sk_c8))) % 17.10/17.39 (define @t61 () (tptp.inverse @t58)) % 17.10/17.39 (define @t62 () (not (= @t61 tptp.sk_c8))) % 17.10/17.39 (define @t63 () (@var "X6" $$unsorted)) % 17.10/17.39 (define @t64 () (tptp.multiply @t63 tptp.sk_c8)) % 17.10/17.39 (define @t65 () (not (= @t64 tptp.sk_c7))) % 17.10/17.39 (define @t66 () (@var "X5" $$unsorted)) % 17.10/17.39 (define @t67 () (tptp.inverse @t66)) % 17.10/17.39 (define @t68 () (not (= @t67 @t63))) % 17.10/17.39 (define @t69 () (tptp.multiply @t66 @t63)) % 17.10/17.39 (define @t70 () (not (= @t69 tptp.sk_c7))) % 17.10/17.39 (define @t71 () (@var "X4" $$unsorted)) % 17.10/17.39 (define @t72 () (tptp.multiply @t71 tptp.sk_c7)) % 17.10/17.39 (define @t73 () (not (= @t72 tptp.sk_c8))) % 17.10/17.39 (define @t74 () (tptp.inverse @t71)) % 17.10/17.39 (define @t75 () (not (= @t74 tptp.sk_c8))) % 17.10/17.39 (define @t76 () (not @t10)) % 17.10/17.39 (define @t77 () (or @t76 @t75 @t73 @t70 @t68 @t65 @t62 @t60 @t57 @t55 @t52)) % 17.10/17.39 (define @t78 () (@list @t71 @t66 @t63 @t58 @t53 @t50)) % 17.10/17.39 (define @t79 () (forall @t78 @t77)) % 17.10/17.39 (define @t80 () (tptp.multiply tptp.sk_c1 @t9)) % 17.10/17.39 (define @t81 () (= tptp.sk_c8 @t80)) % 17.10/17.39 (define @t82 () (not @t81)) % 17.10/17.39 (define @t83 () (= tptp.sk_c8 @t13)) % 17.10/17.39 (define @t84 () (not @t83)) % 17.10/17.39 (define @t85 () (or @t84 @t82)) % 17.10/17.39 (define @t86 () (not (= tptp.sk_c8 @t74))) % 17.10/17.39 (define @t87 () (@list @t71)) % 17.10/17.39 (define @t88 () (forall @t87 (or @t86 (not (= tptp.sk_c8 (tptp.multiply @t71 @t9)))))) % 17.10/17.39 (define @t89 () (@list tptp.sk_c1)) % 17.10/17.39 (define @t90 () (not (= tptp.sk_c8 @t61))) % 17.10/17.39 (define @t91 () (@list @t58)) % 17.10/17.39 (define @t92 () (forall @t91 (or @t90 (not (= tptp.sk_c8 (tptp.multiply @t58 @t9)))))) % 17.10/17.39 (define @t93 () (not @t92)) % 17.10/17.39 (define @t94 () (= tptp.sk_c8 @t11)) % 17.10/17.39 (define @t95 () (= tptp.sk_c7 @t44)) % 17.10/17.39 (define @t96 () (= @t9 @t44)) % 17.10/17.39 (define @t97 () (= tptp.sk_c7 @t19)) % 17.10/17.39 (define @t98 () (= @t9 @t19)) % 17.10/17.39 (define @t99 () (= tptp.sk_c6 @t22)) % 17.10/17.39 (define @t100 () (= tptp.sk_c8 @t25)) % 17.10/17.39 (define @t101 () (@list tptp.sk_c8)) % 17.10/17.39 (define @t102 () (tptp.multiply tptp.identity tptp.sk_c8)) % 17.10/17.39 (define @t103 () (tptp.multiply tptp.sk_c8 tptp.sk_c8)) % 17.10/17.39 (define @t104 () (= tptp.sk_c8 @t102)) % 17.10/17.39 (define @t105 () (tptp.multiply tptp.identity @t9)) % 17.10/17.39 (define @t106 () (= @t9 @t105)) % 17.10/17.39 (define @t107 () (tptp.multiply @t9 tptp.sk_c8)) % 17.10/17.39 (define @t108 () (= tptp.identity @t107)) % 17.10/17.39 (define @t109 () (tptp.multiply tptp.identity tptp.sk_c1)) % 17.10/17.39 (define @t110 () (= tptp.sk_c1 @t109)) % 17.10/17.39 (define @t111 () (tptp.multiply @t13 tptp.sk_c1)) % 17.10/17.39 (define @t112 () (= tptp.identity @t111)) % 17.10/17.39 (define @t113 () (tptp.multiply @t13 @t80)) % 17.10/17.39 (define @t114 () (tptp.multiply @t111 @t9)) % 17.10/17.39 (define @t115 () (= @t114 @t113)) % 17.10/17.39 (define @t116 () (tptp.multiply tptp.sk_c8 @t102)) % 17.10/17.39 (define @t117 () (tptp.multiply @t116 tptp.sk_c8)) % 17.10/17.39 (define @t118 () (= @t117 (tptp.multiply tptp.sk_c8 (tptp.multiply @t102 tptp.sk_c8)))) % 17.10/17.39 (define @t119 () (tptp.multiply @t103 tptp.sk_c8)) % 17.10/17.39 (define @t120 () (tptp.multiply tptp.sk_c8 @t119)) % 17.10/17.39 (define @t121 () (tptp.multiply tptp.sk_c8 @t103)) % 17.10/17.39 (define @t122 () (tptp.multiply @t121 tptp.sk_c8)) % 17.10/17.39 (define @t123 () (= @t122 @t120)) % 17.10/17.39 (define @t124 () (tptp.multiply tptp.identity tptp.sk_c6)) % 17.10/17.39 (define @t125 () (= tptp.sk_c6 @t124)) % 17.10/17.39 (define @t126 () (tptp.multiply tptp.sk_c8 @t9)) % 17.10/17.39 (define @t127 () (tptp.multiply @t9 @t126)) % 17.10/17.39 (define @t128 () (tptp.multiply @t107 @t9)) % 17.10/17.39 (define @t129 () (= @t128 @t127)) % 17.10/17.39 (define @t130 () (tptp.multiply tptp.sk_c8 tptp.sk_c1)) % 17.10/17.39 (define @t131 () (tptp.multiply @t9 @t130)) % 17.10/17.39 (define @t132 () (tptp.multiply @t107 tptp.sk_c1)) % 17.10/17.39 (define @t133 () (= @t132 @t131)) % 17.10/17.39 (define @t134 () (tptp.multiply tptp.sk_c8 @t19)) % 17.10/17.39 (define @t135 () (tptp.multiply @t103 tptp.sk_c6)) % 17.10/17.39 (define @t136 () (= @t135 @t134)) % 17.10/17.39 (define @t137 () (tptp.multiply tptp.sk_c1 tptp.sk_c6)) % 17.10/17.39 (define @t138 () (tptp.multiply tptp.sk_c8 @t137)) % 17.10/17.39 (define @t139 () (tptp.multiply @t130 tptp.sk_c6)) % 17.10/17.39 (define @t140 () (= @t139 @t138)) % 17.10/17.39 (define @t141 () (tptp.multiply @t102 @t22)) % 17.10/17.39 (define @t142 () (tptp.multiply @t109 tptp.sk_c6)) % 17.10/17.39 (define @t143 () (tptp.multiply @t9 tptp.identity)) % 17.10/17.39 (define @t144 () (tptp.multiply @t116 tptp.identity)) % 17.10/17.39 (define @t145 () (tptp.multiply tptp.sk_c8 tptp.identity)) % 17.10/17.39 (define @t146 () (= @t9 (tptp.multiply tptp.sk_c8 @t22))) % 17.10/17.39 (define @t147 () (and @t83 @t99 @t98 @t81 @t104 @t106 @t108 @t110 @t112 @t115 @t118 @t123 @t125 @t129 @t133 @t136 @t140)) % 17.10/17.39 (define @t148 () (not @t140)) % 17.10/17.39 (define @t149 () (not @t136)) % 17.10/17.39 (define @t150 () (not @t133)) % 17.10/17.39 (define @t151 () (not @t129)) % 17.10/17.39 (define @t152 () (not @t125)) % 17.10/17.39 (define @t153 () (not @t123)) % 17.10/17.39 (define @t154 () (not @t118)) % 17.10/17.39 (define @t155 () (not @t115)) % 17.10/17.39 (define @t156 () (not @t112)) % 17.10/17.39 (define @t157 () (not @t110)) % 17.10/17.39 (define @t158 () (not @t108)) % 17.10/17.39 (define @t159 () (not @t106)) % 17.10/17.39 (define @t160 () (not @t104)) % 17.10/17.39 (define @t161 () (not @t99)) % 17.10/17.39 (define @t162 () (not @t98)) % 17.10/17.39 (define @t163 () (not @t100)) % 17.10/17.39 (define @t164 () (not @t146)) % 17.10/17.39 (define @t165 () (or @t164 @t163)) % 17.10/17.39 (define @t166 () (not @t165)) % 17.10/17.39 (define @t167 () (not (= tptp.sk_c8 @t51))) % 17.10/17.39 (define @t168 () (tptp.multiply tptp.sk_c8 @t54)) % 17.10/17.39 (define @t169 () (@list @t50)) % 17.10/17.39 (define @t170 () (forall @t169 (or (not (= @t9 @t168)) @t167))) % 17.10/17.39 (define @t171 () (@list tptp.sk_c5)) % 17.10/17.39 (define @t172 () (tptp.multiply @t67 tptp.sk_c8)) % 17.10/17.39 (define @t173 () (tptp.multiply @t66 @t67)) % 17.10/17.39 (define @t174 () (@list @t66)) % 17.10/17.39 (define @t175 () (forall @t174 (or (not (= @t9 @t173)) (not (= @t9 @t172))))) % 17.10/17.39 (define @t176 () (not (= @t9 @t9))) % 17.10/17.39 (define @t177 () (= tptp.sk_c7 @t168)) % 17.10/17.39 (define @t178 () (not @t177)) % 17.10/17.39 (define @t179 () (or @t178 @t167)) % 17.10/17.39 (define @t180 () (forall @t169 @t179)) % 17.10/17.39 (define @t181 () (= tptp.sk_c8 @t59)) % 17.10/17.39 (define @t182 () (not @t181)) % 17.10/17.39 (define @t183 () (or @t90 @t182)) % 17.10/17.39 (define @t184 () (forall @t91 @t183)) % 17.10/17.39 (define @t185 () (= tptp.sk_c7 @t172)) % 17.10/17.39 (define @t186 () (not @t185)) % 17.10/17.39 (define @t187 () (= tptp.sk_c7 @t173)) % 17.10/17.39 (define @t188 () (not @t187)) % 17.10/17.39 (define @t189 () (or @t188 @t186)) % 17.10/17.39 (define @t190 () (forall @t174 @t189)) % 17.10/17.39 (define @t191 () (= tptp.sk_c8 @t72)) % 17.10/17.39 (define @t192 () (not @t191)) % 17.10/17.39 (define @t193 () (or @t86 @t192)) % 17.10/17.39 (define @t194 () (forall @t87 @t193)) % 17.10/17.39 (define @t195 () (= tptp.sk_c7 @t9)) % 17.10/17.39 (define @t196 () (not @t195)) % 17.10/17.39 (define @t197 () (not (= @t54 @t54))) % 17.10/17.39 (define @t198 () (or @t178 @t197 @t167)) % 17.10/17.39 (define @t199 () (not (= @t53 @t54))) % 17.10/17.39 (define @t200 () (not (= tptp.sk_c7 @t56))) % 17.10/17.39 (define @t201 () (or @t199 @t200 @t199 @t167)) % 17.10/17.39 (define @t202 () (@list @t53)) % 17.10/17.39 (define @t203 () (or @t200 @t199 @t167)) % 17.10/17.39 (define @t204 () (forall @t202 @t203)) % 17.10/17.39 (define @t205 () (forall @t169 @t204)) % 17.10/17.39 (define @t206 () (forall (@list @t50 @t53) @t203)) % 17.10/17.39 (define @t207 () (forall (@list @t53 @t50) @t203)) % 17.10/17.39 (define @t208 () (not (= @t67 @t67))) % 17.10/17.39 (define @t209 () (or @t188 @t208 @t186)) % 17.10/17.39 (define @t210 () (not (= tptp.sk_c7 @t64))) % 17.10/17.39 (define @t211 () (not (= @t63 @t67))) % 17.10/17.39 (define @t212 () (not (= tptp.sk_c7 @t69))) % 17.10/17.39 (define @t213 () (or @t211 @t212 @t211 @t210)) % 17.10/17.39 (define @t214 () (@list @t63)) % 17.10/17.39 (define @t215 () (or @t212 @t211 @t210)) % 17.10/17.39 (define @t216 () (forall @t214 @t215)) % 17.10/17.39 (define @t217 () (forall @t174 @t216)) % 17.10/17.39 (define @t218 () (forall (@list @t66 @t63) @t215)) % 17.10/17.39 (define @t219 () (or @t196 @t194 @t218 @t184 @t207)) % 17.10/17.39 (define @t220 () (or @t196 @t193 @t215 @t183 @t203)) % 17.10/17.39 (define @t221 () (or @t196 @t86 @t192 @t212 @t211 @t210 @t90 @t182 @t200 @t199 @t167)) % 17.10/17.39 (define @t222 () (@list tptp.identity)) % 17.10/17.39 (define @t223 () (@list tptp.sk_c4)) % 17.10/17.39 (define @t224 () (tptp.multiply tptp.identity tptp.identity)) % 17.10/17.39 (define @t225 () (= tptp.identity @t224)) % 17.10/17.39 (define @t226 () (tptp.multiply tptp.identity tptp.sk_c4)) % 17.10/17.39 (define @t227 () (= tptp.sk_c4 @t226)) % 17.10/17.39 (define @t228 () (tptp.multiply @t11 tptp.sk_c4)) % 17.10/17.39 (define @t229 () (= tptp.identity @t228)) % 17.10/17.39 (define @t230 () (tptp.multiply tptp.identity @t11)) % 17.10/17.39 (define @t231 () (= @t11 @t230)) % 17.10/17.39 (define @t232 () (tptp.multiply tptp.identity tptp.sk_c5)) % 17.10/17.39 (define @t233 () (= tptp.sk_c5 @t232)) % 17.10/17.39 (define @t234 () (tptp.multiply @t25 tptp.sk_c5)) % 17.10/17.39 (define @t235 () (= tptp.identity @t234)) % 17.10/17.39 (define @t236 () (= @t22 (tptp.multiply tptp.identity @t22))) % 17.10/17.39 (define @t237 () (= @t25 (tptp.multiply tptp.identity @t25))) % 17.10/17.39 (define @t238 () (tptp.multiply @t103 tptp.sk_c4)) % 17.10/17.39 (define @t239 () (= @t238 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c4)))) % 17.10/17.39 (define @t240 () (tptp.multiply @t130 tptp.sk_c4)) % 17.10/17.39 (define @t241 () (= @t240 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c4)))) % 17.10/17.39 (define @t242 () (tptp.multiply tptp.sk_c5 @t103)) % 17.10/17.39 (define @t243 () (tptp.multiply @t22 tptp.sk_c8)) % 17.10/17.39 (define @t244 () (= @t243 @t242)) % 17.10/17.39 (define @t245 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 17.10/17.39 (define @t246 () (tptp.multiply tptp.sk_c5 @t245)) % 17.10/17.39 (define @t247 () (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c1) tptp.sk_c8) @t246)) % 17.10/17.39 (define @t248 () (tptp.multiply @t103 tptp.sk_c5)) % 17.10/17.39 (define @t249 () (= @t248 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) % 17.10/17.39 (define @t250 () (tptp.multiply @t130 tptp.sk_c5)) % 17.10/17.39 (define @t251 () (= @t250 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) % 17.10/17.39 (define @t252 () (= @t9 (tptp.multiply tptp.sk_c4 @t11))) % 17.10/17.39 (define @t253 () (and @t83 @t94 @t99 @t100 @t98 @t81 @t225 @t104 @t106 @t108 @t110 @t227 @t112 @t115 @t118 @t123 @t125 @t229 @t129 @t133 @t231 @t233 @t235 @t236 @t237 @t239 @t241 @t136 @t140 @t244 @t247 @t249 @t251)) % 17.10/17.39 (define @t254 () (not @t235)) % 17.10/17.39 (define @t255 () (not @t231)) % 17.10/17.39 (define @t256 () (not @t229)) % 17.10/17.39 (define @t257 () (not @t227)) % 17.10/17.39 (define @t258 () (not @t225)) % 17.10/17.39 (define @t259 () (not @t94)) % 17.10/17.39 (define @t260 () (= @t9 (tptp.multiply @t11 tptp.sk_c8))) % 17.10/17.39 (define @t261 () (and @t83 @t94 @t81 @t104 @t106 @t112 @t115)) % 17.10/17.39 (define @t262 () (not @t260)) % 17.10/17.39 (define @t263 () (not @t252)) % 17.10/17.39 (define @t264 () (or @t263 @t262)) % 17.10/17.39 (define @t265 () (= tptp.sk_c3 @t38)) % 17.10/17.39 (define @t266 () (@quantifiers_skolemize @t88 0)) % 17.10/17.39 (define @t267 () (tptp.multiply @t266 @t9)) % 17.10/17.39 (define @t268 () (= tptp.sk_c8 @t267)) % 17.10/17.39 (define @t269 () (not @t268)) % 17.10/17.39 (define @t270 () (tptp.inverse @t266)) % 17.10/17.39 (define @t271 () (= tptp.sk_c8 @t270)) % 17.10/17.39 (define @t272 () (not @t271)) % 17.10/17.39 (define @t273 () (or @t272 @t269)) % 17.10/17.39 (define @t274 () (not @t273)) % 17.10/17.39 (define @t275 () (not @t88)) % 17.10/17.39 (define @t276 () (= @t9 @t32)) % 17.10/17.39 (define @t277 () (= @t9 (tptp.multiply tptp.sk_c2 @t38))) % 17.10/17.39 (define @t278 () (and @t265 @t276)) % 17.10/17.39 (define @t279 () (not @t265)) % 17.10/17.39 (define @t280 () (not @t276)) % 17.10/17.39 (define @t281 () (tptp.multiply @t38 tptp.sk_c8)) % 17.10/17.39 (define @t282 () (= @t9 @t281)) % 17.10/17.39 (define @t283 () (and @t265 @t96)) % 17.10/17.39 (define @t284 () (not @t282)) % 17.10/17.39 (define @t285 () (not @t277)) % 17.10/17.39 (define @t286 () (or @t285 @t284)) % 17.10/17.39 (define @t287 () (@list tptp.sk_c2)) % 17.10/17.39 (define @t288 () (not @t96)) % 17.10/17.39 (define @t289 () (@list @t266)) % 17.10/17.39 (define @t290 () (= @t9 (tptp.multiply tptp.sk_c8 (tptp.multiply @t266 tptp.sk_c8)))) % 17.10/17.39 (define @t291 () (not @t290)) % 17.10/17.39 (define @t292 () (or @t291 @t272)) % 17.10/17.39 (define @t293 () (tptp.multiply tptp.identity tptp.sk_c2)) % 17.10/17.39 (define @t294 () (= tptp.sk_c2 @t293)) % 17.10/17.39 (define @t295 () (tptp.multiply @t38 tptp.sk_c2)) % 17.10/17.39 (define @t296 () (= tptp.identity @t295)) % 17.10/17.39 (define @t297 () (tptp.multiply tptp.identity @t266)) % 17.10/17.39 (define @t298 () (= @t266 @t297)) % 17.10/17.39 (define @t299 () (tptp.multiply @t270 @t266)) % 17.10/17.39 (define @t300 () (= tptp.identity @t299)) % 17.10/17.39 (define @t301 () (tptp.multiply tptp.sk_c8 @t266)) % 17.10/17.39 (define @t302 () (tptp.multiply @t9 @t301)) % 17.10/17.39 (define @t303 () (tptp.multiply @t107 @t266)) % 17.10/17.39 (define @t304 () (= @t303 @t302)) % 17.10/17.39 (define @t305 () (tptp.multiply tptp.sk_c2 @t44)) % 17.10/17.39 (define @t306 () (= (tptp.multiply @t32 tptp.sk_c8) @t305)) % 17.10/17.39 (define @t307 () (tptp.multiply tptp.sk_c2 @t245)) % 17.10/17.39 (define @t308 () (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c1) tptp.sk_c8) @t307)) % 17.10/17.39 (define @t309 () (tptp.multiply @t295 tptp.identity)) % 17.10/17.39 (define @t310 () (= @t309 (tptp.multiply @t38 (tptp.multiply tptp.sk_c2 tptp.identity)))) % 17.10/17.39 (define @t311 () (and @t83 @t265 @t81 @t276 @t96 @t271 @t225 @t104 @t106 @t108 @t110 @t112 @t115 @t118 @t123 @t129 @t133 @t294 @t296 @t298 @t300 @t304 @t306 @t308 @t310)) % 17.10/17.39 (define @t312 () (not @t304)) % 17.10/17.39 (define @t313 () (not @t300)) % 17.10/17.39 (define @t314 () (not @t298)) % 17.10/17.39 (define @t315 () (= tptp.sk_c7 @t32)) % 17.10/17.39 (define @t316 () (= tptp.sk_c8 @t28)) % 17.10/17.39 (define @t317 () (= tptp.sk_c8 @t16)) % 17.10/17.39 (define @t318 () (tptp.multiply tptp.sk_c4 @t9)) % 17.10/17.39 (define @t319 () (= tptp.sk_c8 @t318)) % 17.10/17.39 (define @t320 () (not @t319)) % 17.10/17.39 (define @t321 () (or @t259 @t320)) % 17.10/17.39 (define @t322 () (not @t321)) % 17.10/17.39 (define @t323 () (and @t83 @t82 @t271 @t108 @t110 @t112 @t133 @t298 @t300 @t304)) % 17.10/17.39 (define @t324 () (@list true)) % 17.10/17.39 (define @t325 () (@list @t83)) % 17.10/17.39 (define @t326 () (@list false false)) % 17.10/17.39 (define @t327 () (and @t99 @t98 @t104)) % 17.10/17.39 (define @t328 () (@list false false false)) % 17.10/17.39 (define @t329 () (tptp.inverse tptp.identity)) % 17.10/17.39 (define @t330 () (= @t9 (tptp.multiply @t329 tptp.sk_c8))) % 17.10/17.39 (define @t331 () (not @t330)) % 17.10/17.39 (define @t332 () (tptp.multiply tptp.identity @t329)) % 17.10/17.39 (define @t333 () (= @t9 @t332)) % 17.10/17.39 (define @t334 () (not @t333)) % 17.10/17.39 (define @t335 () (or @t334 @t331)) % 17.10/17.39 (define @t336 () (tptp.multiply @t329 tptp.identity)) % 17.10/17.39 (define @t337 () (= tptp.identity @t336)) % 17.10/17.39 (define @t338 () (tptp.multiply @t329 @t102)) % 17.10/17.39 (define @t339 () (= (tptp.multiply @t336 tptp.sk_c8) @t338)) % 17.10/17.39 (define @t340 () (tptp.multiply @t234 tptp.sk_c8)) % 17.10/17.39 (define @t341 () (= @t340 (tptp.multiply @t25 @t22))) % 17.10/17.39 (define @t342 () (and @t99 @t100 @t98 @t337 @t104 @t235 @t339 @t341)) % 17.10/17.39 (define @t343 () (not @t341)) % 17.10/17.39 (define @t344 () (= @t329 @t332)) % 17.10/17.39 (define @t345 () (tptp.multiply tptp.sk_c4 tptp.identity)) % 17.10/17.39 (define @t346 () (tptp.multiply @t345 tptp.sk_c8)) % 17.10/17.39 (define @t347 () (= @t346 (tptp.multiply tptp.sk_c4 @t102))) % 17.10/17.39 (define @t348 () (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c8 @t11))) % 17.10/17.39 (define @t349 () (tptp.multiply @t103 @t11)) % 17.10/17.39 (define @t350 () (= @t349 @t348)) % 17.10/17.39 (define @t351 () (tptp.multiply tptp.sk_c4 @t107)) % 17.10/17.39 (define @t352 () (= (tptp.multiply @t318 tptp.sk_c8) @t351)) % 17.10/17.39 (define @t353 () (tptp.multiply @t25 @t103)) % 17.10/17.39 (define @t354 () (tptp.multiply (tptp.multiply @t25 tptp.sk_c8) tptp.sk_c8)) % 17.10/17.39 (define @t355 () (= @t354 @t353)) % 17.10/17.39 (define @t356 () (tptp.multiply @t228 tptp.identity)) % 17.10/17.39 (define @t357 () (= @t356 (tptp.multiply @t11 @t345))) % 17.10/17.39 (define @t358 () (tptp.multiply @t11 tptp.identity)) % 17.10/17.39 (define @t359 () (tptp.inverse @t358)) % 17.10/17.39 (define @t360 () (tptp.inverse @t11)) % 17.10/17.39 (define @t361 () (tptp.inverse @t360)) % 17.10/17.39 (define @t362 () (and @t94 @t99 @t100 @t319 @t98 @t225 @t104 @t108 @t227 @t118 @t123 @t229 @t231 @t235 @t344 @t347 @t350 @t352 @t355 @t357 @t341)) % 17.10/17.39 (assume @p1 @t4) % 17.10/17.39 (assume @p2 @t6) % 17.10/17.39 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 17.10/17.39 (assume @p4 @t10) % 17.10/17.39 (assume @p5 @t15) % 17.10/17.39 (assume @p6 @t18) % 17.10/17.39 (assume @p7 @t21) % 17.10/17.39 (assume @p8 @t24) % 17.10/17.39 (assume @p9 @t27) % 17.10/17.39 (assume @p10 @t30) % 17.10/17.39 (assume @p11 @t31) % 17.10/17.39 (assume @p12 (or @t29 @t20)) % 17.10/17.39 (assume @p13 (or @t29 @t23)) % 17.10/17.39 (assume @p14 (or @t29 @t26)) % 17.10/17.39 (assume @p15 @t34) % 17.10/17.39 (assume @p16 (or @t33 @t17)) % 17.10/17.39 (assume @p17 @t35) % 17.10/17.39 (assume @p18 @t36) % 17.10/17.39 (assume @p19 @t37) % 17.10/17.39 (assume @p20 @t40) % 17.10/17.39 (assume @p21 (or @t39 @t17)) % 17.10/17.39 (assume @p22 @t41) % 17.10/17.39 (assume @p23 @t42) % 17.10/17.39 (assume @p24 @t43) % 17.10/17.39 (assume @p25 @t46) % 17.10/17.39 (assume @p26 (or @t45 @t17)) % 17.10/17.39 (assume @p27 @t47) % 17.10/17.39 (assume @p28 @t48) % 17.10/17.39 (assume @p29 @t49) % 17.10/17.39 (assume @p30 @t79) % 17.10/17.39 (step @p31 :rule cnf_or_pos :args (@t85)) % 17.10/17.39 (step @p32 :rule reordering :premises (@p31) :args ((or @t84 @t82 (not @t85)))) % 17.10/17.39 (assume-push @p1337 @t88) % 17.10/17.39 (step @p34 :rule instantiate :premises (@p1337) :args (@t89)) % 17.10/17.39 (step-pop @p1338 :rule scope :premises (@p34)) % 17.10/17.39 (step @p35 :rule process_scope :premises (@p1338) :args (@t85)) % 17.10/17.39 (step @p37 :rule implies_elim :premises (@p35)) % 17.10/17.39 (step @p38 :rule alpha_equiv :args (@t88 (@list @t71) (@list @t58))) % 17.10/17.39 (step @p39 :rule symm :premises (@p38)) % 17.10/17.39 (step @p40 :rule equiv_elim1 :premises (@p39)) % 17.10/17.39 (step @p41 :rule reordering :premises (@p40) :args ((or @t88 @t93))) % 17.10/17.39 (step @p42 :rule refl :args (@t94)) % 17.10/17.39 (step @p43 :rule refl :args (@t44)) % 17.10/17.39 (step @p44 :rule symm :premises (@p4)) % 17.10/17.39 (step @p45 :rule cong :premises (@p44 @p43) :args (@t95)) % 17.10/17.39 (step @p46 :rule nary_cong :premises (@p45 @p42) :args ((or @t95 @t94))) % 17.10/17.39 (step @p47 :rule eq-symm :args (@t11 tptp.sk_c8)) % 17.10/17.39 (step @p48 :rule eq-symm :args (@t44 tptp.sk_c7)) % 17.10/17.39 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t46)) % 17.10/17.39 (step @p50 :rule trans :premises (@p49 @p46)) % 17.10/17.39 (step @p51 :rule eq_resolve :premises (@p25 @p50)) % 17.10/17.39 (step @p52 :rule reordering :premises (@p51) :args ((or @t94 @t96))) % 17.10/17.39 (step @p53 :rule refl :args (@t19)) % 17.10/17.39 (step @p54 :rule cong :premises (@p44 @p53) :args (@t97)) % 17.10/17.39 (step @p55 :rule nary_cong :premises (@p45 @p54) :args ((or @t95 @t97))) % 17.10/17.39 (step @p56 :rule eq-symm :args (@t19 tptp.sk_c7)) % 17.10/17.39 (step @p57 :rule nary_cong :premises (@p48 @p56) :args (@t47)) % 17.10/17.39 (step @p58 :rule trans :premises (@p57 @p55)) % 17.10/17.39 (step @p59 :rule eq_resolve :premises (@p27 @p58)) % 17.10/17.39 (step @p60 :rule reordering :premises (@p59) :args ((or @t98 @t96))) % 17.10/17.39 (step @p61 :rule refl :args (@t99)) % 17.10/17.39 (step @p62 :rule nary_cong :premises (@p45 @p61) :args ((or @t95 @t99))) % 17.10/17.39 (step @p63 :rule eq-symm :args (@t22 tptp.sk_c6)) % 17.10/17.39 (step @p64 :rule nary_cong :premises (@p48 @p63) :args (@t48)) % 17.10/17.39 (step @p65 :rule trans :premises (@p64 @p62)) % 17.10/17.39 (step @p66 :rule eq_resolve :premises (@p28 @p65)) % 17.10/17.39 (step @p67 :rule reordering :premises (@p66) :args ((or @t99 @t96))) % 17.10/17.39 (step @p68 :rule refl :args (@t100)) % 17.10/17.39 (step @p69 :rule nary_cong :premises (@p45 @p68) :args ((or @t95 @t100))) % 17.10/17.39 (step @p70 :rule eq-symm :args (@t25 tptp.sk_c8)) % 17.10/17.39 (step @p71 :rule nary_cong :premises (@p48 @p70) :args (@t49)) % 17.10/17.39 (step @p72 :rule trans :premises (@p71 @p69)) % 17.10/17.39 (step @p73 :rule eq_resolve :premises (@p29 @p72)) % 17.10/17.39 (step @p74 :rule reordering :premises (@p73) :args ((or @t100 @t96))) % 17.10/17.39 (step @p75 :rule eq-symm :args (@t2 @t1)) % 17.10/17.39 (step @p76 :rule cong :premises (@p75) :args (@t4)) % 17.10/17.39 (step @p77 :rule eq_resolve :premises (@p1 @p76)) % 17.10/17.39 (step @p78 :rule instantiate :premises (@p77) :args (@t101)) % 17.10/17.39 (step @p79 :rule instantiate :premises (@p77) :args ((@list @t9))) % 17.10/17.39 (step @p80 :rule eq-symm :args (@t5 tptp.identity)) % 17.10/17.39 (step @p81 :rule cong :premises (@p80) :args (@t6)) % 17.10/17.39 (step @p82 :rule eq_resolve :premises (@p2 @p81)) % 17.10/17.39 (step @p83 :rule instantiate :premises (@p82) :args (@t101)) % 17.10/17.39 (step @p84 :rule instantiate :premises (@p77) :args (@t89)) % 17.10/17.39 (step @p85 :rule instantiate :premises (@p82) :args (@t89)) % 17.10/17.39 (step @p86 :rule instantiate :premises (@p3) :args ((@list @t13 tptp.sk_c1 @t9))) % 17.10/17.39 (step @p87 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 @t102 tptp.sk_c8))) % 17.10/17.39 (step @p88 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 @t103 tptp.sk_c8))) % 17.10/17.39 (step @p89 :rule instantiate :premises (@p77) :args ((@list tptp.sk_c6))) % 17.10/17.39 (step @p90 :rule instantiate :premises (@p3) :args ((@list @t9 tptp.sk_c8 @t9))) % 17.10/17.39 (step @p91 :rule instantiate :premises (@p3) :args ((@list @t9 tptp.sk_c8 tptp.sk_c1))) % 17.10/17.39 (step @p92 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 tptp.sk_c8 tptp.sk_c6))) % 17.10/17.39 (step @p93 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 tptp.sk_c1 tptp.sk_c6))) % 17.10/17.39 (assume-push @p1339 @t83) % 17.10/17.39 (assume-push @p1340 @t99) % 17.10/17.39 (assume-push @p1341 @t98) % 17.10/17.39 (assume-push @p1342 @t81) % 17.10/17.39 (assume-push @p1343 @t104) % 17.10/17.39 (assume-push @p1344 @t106) % 17.10/17.39 (assume-push @p1345 @t108) % 17.10/17.39 (assume-push @p1346 @t110) % 17.10/17.39 (assume-push @p1347 @t112) % 17.10/17.39 (assume-push @p1348 @t115) % 17.10/17.39 (assume-push @p1349 @t118) % 17.10/17.39 (assume-push @p1350 @t123) % 17.10/17.39 (assume-push @p1351 @t125) % 17.10/17.39 (assume-push @p1352 @t129) % 17.10/17.39 (assume-push @p1353 @t133) % 17.10/17.39 (assume-push @p1354 @t136) % 17.10/17.39 (assume-push @p1355 @t140) % 17.10/17.39 (assume-push @p1356 @t104) % 17.10/17.39 (assume-push @p1357 @t99) % 17.10/17.39 (assume-push @p1358 @t125) % 17.10/17.39 (assume-push @p1359 @t112) % 17.10/17.39 (assume-push @p1360 @t83) % 17.10/17.39 (assume-push @p1361 @t140) % 17.10/17.39 (assume-push @p1362 @t110) % 17.10/17.39 (assume-push @p1363 @t108) % 17.10/17.39 (assume-push @p1364 @t133) % 17.10/17.39 (assume-push @p1365 @t106) % 17.10/17.39 (assume-push @p1366 @t115) % 17.10/17.39 (assume-push @p1367 @t81) % 17.10/17.39 (assume-push @p1368 @t118) % 17.10/17.39 (assume-push @p1369 @t129) % 17.10/17.39 (assume-push @p1370 @t136) % 17.10/17.39 (assume-push @p1371 @t98) % 17.10/17.39 (assume-push @p1372 @t123) % 17.10/17.39 (step @p128 :rule refl :args (@t22)) % 17.10/17.39 (step @p129 :rule symm :premises (@p78)) % 17.10/17.39 (step @p130 :rule cong :premises (@p129 @p128) :args (@t141)) % 17.10/17.39 (step @p131 :rule symm :premises (@p89)) % 17.10/17.39 (step @p132 :rule refl :args (tptp.sk_c6)) % 17.10/17.39 (step @p133 :rule symm :premises (@p85)) % 17.10/17.39 (step @p134 :rule refl :args (tptp.sk_c1)) % 17.10/17.39 (step @p135 :rule cong :premises (@p1339 @p134) :args (@t130)) % 17.10/17.39 (step @p136 :rule trans :premises (@p135 @p133)) % 17.10/17.39 (step @p137 :rule cong :premises (@p136 @p132) :args (@t139)) % 17.10/17.39 (step @p138 :rule symm :premises (@p93)) % 17.10/17.39 (step @p139 :rule symm :premises (@p84)) % 17.10/17.39 (step @p140 :rule cong :premises (@p139 @p132) :args (@t142)) % 17.10/17.39 (step @p141 :rule symm :premises (@p83)) % 17.10/17.39 (step @p142 :rule cong :premises (@p141 @p134) :args (@t132)) % 17.10/17.39 (step @p143 :rule symm :premises (@p91)) % 17.10/17.39 (step @p144 :rule symm :premises (@p136)) % 17.10/17.39 (step @p145 :rule refl :args (@t9)) % 17.10/17.39 (step @p146 :rule 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@p1797 @t350) % 17.10/17.39 (assume-push @p1798 @t352) % 17.10/17.39 (assume-push @p1799 @t355) % 17.10/17.39 (assume-push @p1800 @t357) % 17.10/17.39 (assume-push @p1801 @t341) % 17.10/17.39 (assume-push @p1802 @t344) % 17.10/17.39 (assume-push @p1803 @t225) % 17.10/17.39 (assume-push @p1804 @t229) % 17.10/17.39 (assume-push @p1805 @t357) % 17.10/17.39 (assume-push @p1806 @t94) % 17.10/17.39 (assume-push @p1807 @t108) % 17.10/17.39 (assume-push @p1808 @t352) % 17.10/17.39 (assume-push @p1809 @t319) % 17.10/17.39 (assume-push @p1810 @t104) % 17.10/17.39 (assume-push @p1811 @t118) % 17.10/17.39 (assume-push @p1812 @t347) % 17.10/17.39 (assume-push @p1813 @t227) % 17.10/17.39 (assume-push @p1814 @t235) % 17.10/17.39 (assume-push @p1815 @t341) % 17.10/17.39 (assume-push @p1816 @t100) % 17.10/17.39 (assume-push @p1817 @t99) % 17.10/17.39 (assume-push @p1818 @t98) % 17.10/17.39 (assume-push @p1819 @t350) % 17.10/17.39 (assume-push @p1820 @t123) % 17.10/17.39 (assume-push @p1821 @t355) % 17.10/17.39 (assume-push @p1822 @t231) % 17.10/17.39 (step @p842 :rule symm :premises (@p356)) % 17.10/17.39 (step @p147 :rule refl :args (tptp.identity)) % 17.10/17.39 (step @p1219 :rule symm :premises (@p358)) % 17.10/17.39 (step @p1220 :rule cong :premises (@p1219 @p147) :args (@t356)) % 17.10/17.39 (step @p1221 :rule symm :premises (@p1171)) % 17.10/17.39 (step @p141 :rule symm :premises (@p83)) % 17.10/17.39 (step @p1222 :rule cong :premises (@p503 @p141) :args (@t351)) % 17.10/17.39 (step @p129 :rule symm :premises (@p78)) % 17.10/17.39 (step @p1223 :rule cong :premises (@p1784 @p129) :args (@t116)) % 17.10/17.39 (step @p154 :rule cong :premises (@p153 @p78) :args (@t103)) % 17.10/17.39 (step @p1224 :rule trans :premises (@p154 @p1223 @p1173 @p1222)) % 17.10/17.39 (step @p1225 :rule cong :premises (@p1781 @p1224) :args (@t121)) % 17.10/17.39 (step @p162 :rule cong :premises (@p78 @p129) :args (@t116)) % 17.10/17.39 (step @p163 :rule trans :premises (@p154 @p162)) % 17.10/17.39 (step @p164 :rule cong :premises (@p153 @p163) :args (@t121)) % 17.10/17.39 (step @p177 :rule symm :premises (@p164)) % 17.10/17.39 (step @p156 :rule symm :premises (@p154)) % 17.10/17.39 (step @p160 :rule cong :premises (@p156 @p153) :args (@t117)) % 17.10/17.39 (step @p178 :rule symm :premises (@p160)) % 17.10/17.39 (step @p1226 :rule symm :premises (@p1224)) % 17.10/17.39 (step @p1227 :rule cong :premises (@p1226 @p153) :args (@t346)) % 17.10/17.39 (step @p1228 :rule symm :premises (@p1175)) % 17.10/17.39 (step @p1229 :rule cong :premises (@p503 @p78) :args ((tptp.multiply tptp.sk_c4 tptp.sk_c8))) % 17.10/17.39 (step @p502 :rule symm :premises (@p357)) % 17.10/17.39 (step @p1230 :rule cong :premises (@p502 @p153) :args ((tptp.multiply @t226 tptp.sk_c8))) % 17.10/17.39 (step @p1141 :rule symm :premises (@p361)) % 17.10/17.39 (step @p1142 :rule cong :premises (@p1141 @p153) :args (@t340)) % 17.10/17.39 (step @p1143 :rule symm :premises (@p1119)) % 17.10/17.39 (step @p1231 :rule cong :premises (@p1783 @p1782) :args (@t19)) % 17.10/17.39 (step @p1232 :rule trans :premises (@p1785 @p1231 @p1143 @p1142 @p129)) % 17.10/17.39 (step @p1233 :rule cong :premises (@p357 @p1232) :args (@t318)) % 17.10/17.39 (step @p1234 :rule trans :premises (@p1229 @p1228 @p1227 @p178 @p87 @p177 @p1225 @p1221 @p1220 @p842)) % 17.10/17.39 (step @p1235 :rule symm :premises (@p1229)) % 17.10/17.39 (step @p1236 :rule symm :premises (@p1227)) % 17.10/17.39 (step @p161 :rule symm :premises (@p87)) % 17.10/17.39 (step @p1237 :rule trans :premises (@p164 @p161 @p160 @p1236 @p1175 @p1235)) % 17.10/17.39 (step @p1238 :rule symm :premises (@p1781)) % 17.10/17.39 (step @p1239 :rule refl :args (@t103)) % 17.10/17.39 (step @p1240 :rule cong :premises (@p1239 @p1238) :args (@t349)) % 17.10/17.39 (step @p1241 :rule symm :premises (@p1174)) % 17.10/17.39 (step @p1242 :rule trans :premises (@p1241 @p1240 @p178 @p87 @p177)) % 17.10/17.39 (step @p1243 :rule trans :premises (@p1242 @p1237 @p1234)) % 17.10/17.39 (step @p1244 :rule cong :premises (@p1243 @p153) :args ((tptp.multiply @t348 tptp.sk_c8))) % 17.10/17.39 (step @p1245 :rule symm :premises (@p1242)) % 17.10/17.39 (step @p1246 :rule cong :premises (@p1245 @p153) :args (@t122)) % 17.10/17.39 (step @p442 :rule symm :premises (@p88)) % 17.10/17.39 (step @p1247 :rule symm :premises (@p1783)) % 17.10/17.39 (step @p1248 :rule cong :premises (@p1247 @p1239) :args (@t353)) % 17.10/17.39 (step @p1249 :rule trans :premises (@p1172 @p1248 @p164 @p161 @p160)) % 17.10/17.39 (step @p1250 :rule cong :premises (@p153 @p1249) :args ((tptp.multiply tptp.sk_c8 @t354))) % 17.10/17.39 (step @p1251 :rule symm :premises (@p1172)) % 17.10/17.39 (step @p1252 :rule symm :premises (@p1248)) % 17.10/17.39 (step @p1253 :rule symm :premises (@p1225)) % 17.10/17.39 (step @p1254 :rule symm :premises (@p1220)) % 17.10/17.39 (step @p1255 :rule trans :premises (@p356 @p1254 @p1171 @p1253 @p1252 @p1251)) % 17.10/17.39 (step @p1256 :rule cong :premises (@p153 @p1255) :args (@t145)) % 17.10/17.39 (step @p511 :rule symm :premises (@p359)) % 17.10/17.39 (step @p1257 :rule trans :premises (@p511 @p1238)) % 17.10/17.39 (step @p1258 :rule cong :premises (@p1257 @p147) :args ((tptp.multiply @t230 tptp.identity))) % 17.10/17.39 (step @p1259 :rule cong :premises (@p359 @p147) :args (@t358)) % 17.10/17.39 (step @p1260 :rule trans :premises (@p1259 @p1258 @p1256 @p1250 @p442 @p1246 @p1244 @p129)) % 17.10/17.39 (step @p1261 :rule cong :premises (@p1260) :args (@t359)) % 17.10/17.39 (step @p1262 :rule symm :premises (@p1259)) % 17.10/17.39 (step @p1263 :rule symm :premises (@p1258)) % 17.10/17.39 (step @p1264 :rule symm :premises (@p1256)) % 17.10/17.39 (step @p1265 :rule symm :premises (@p1250)) % 17.10/17.39 (step @p1266 :rule symm :premises (@p1246)) % 17.10/17.39 (step @p1267 :rule symm :premises (@p1244)) % 17.10/17.39 (step @p1268 :rule trans :premises (@p1785 @p1231 @p1143 @p1142 @p1267 @p1266 @p88 @p1265 @p1264 @p1263 @p1262)) % 17.10/17.39 (step @p1269 :rule cong :premises (@p1268) :args ((tptp.inverse @t9))) % 17.10/17.39 (step @p1270 :rule cong :premises (@p1238) :args (@t360)) % 17.10/17.39 (step @p1271 :rule cong :premises (@p1270) :args (@t361)) % 17.10/17.39 (step @p1272 :rule trans :premises (@p1271 @p1269 @p1261 @p1785 @p1231 @p1143 @p1142 @p129 @p1784 @p1233 @p1230 @p1229 @p1228 @p1227 @p178 @p87 @p177 @p1225 @p1221 @p1220 @p842)) % 17.10/17.39 (step @p1273 :rule cong :premises (@p1272) :args ((tptp.inverse @t361))) % 17.10/17.39 (step @p1274 :rule symm :premises (@p1271)) % 17.10/17.39 (step @p1275 :rule symm :premises (@p1269)) % 17.10/17.39 (step @p1276 :rule symm :premises (@p1261)) % 17.10/17.39 (step @p1277 :rule symm :premises (@p1785)) % 17.10/17.39 (step @p1278 :rule symm :premises (@p1231)) % 17.10/17.39 (step @p1279 :rule symm :premises (@p1142)) % 17.10/17.39 (step @p1280 :rule trans :premises (@p1259 @p1258 @p1256 @p1250 @p442 @p1246 @p1244 @p1279 @p1119 @p1278 @p1277 @p1276 @p1275 @p1274)) % 17.10/17.39 (step @p1281 :rule cong :premises (@p1280) :args (@t359)) % 17.10/17.39 (step @p1282 :rule trans :premises (@p1276 @p1281 @p1273 @p1176)) % 17.10/17.39 (step-pop @p1823 :rule scope :premises (@p1282)) % 17.10/17.39 (step-pop @p1824 :rule scope :premises (@p1823)) % 17.10/17.39 (step-pop @p1825 :rule scope :premises (@p1824)) % 17.10/17.39 (step-pop @p1826 :rule scope :premises (@p1825)) % 17.10/17.39 (step-pop @p1827 :rule scope :premises (@p1826)) % 17.10/17.39 (step-pop @p1828 :rule scope :premises (@p1827)) % 17.10/17.39 (step-pop @p1829 :rule scope :premises (@p1828)) % 17.10/17.39 (step-pop @p1830 :rule scope :premises (@p1829)) % 17.10/17.39 (step-pop @p1831 :rule scope :premises (@p1830)) % 17.10/17.39 (step-pop @p1832 :rule scope :premises (@p1831)) % 17.10/17.39 (step-pop @p1833 :rule scope :premises (@p1832)) % 17.10/17.39 (step-pop @p1834 :rule scope :premises (@p1833)) % 17.10/17.39 (step-pop @p1835 :rule scope :premises (@p1834)) % 17.10/17.39 (step-pop @p1836 :rule scope :premises (@p1835)) % 17.10/17.39 (step-pop @p1837 :rule scope :premises (@p1836)) % 17.10/17.39 (step-pop @p1838 :rule scope :premises (@p1837)) % 17.10/17.39 (step-pop @p1839 :rule scope :premises (@p1838)) % 17.10/17.39 (step-pop @p1840 :rule scope :premises (@p1839)) % 17.10/17.39 (step-pop @p1841 :rule scope :premises (@p1840)) % 17.10/17.39 (step-pop @p1842 :rule scope :premises (@p1841)) % 17.10/17.39 (step-pop @p1843 :rule scope :premises (@p1842)) % 17.10/17.39 (step @p1283 :rule process_scope :premises (@p1843) :args (@t333)) % 17.10/17.39 (step @p1305 :rule and_intro :premises (@p1176 @p356 @p358 @p1171 @p1781 @p83 @p1173 @p1784 @p78 @p87 @p1175 @p357 @p361 @p1119 @p1783 @p1782 @p1785 @p1174 @p88 @p1172 @p359)) % 17.10/17.39 (step @p1306 :rule modus_ponens :premises (@p1305 @p1283)) % 17.10/17.39 (step-pop @p1844 :rule scope :premises (@p1306)) % 17.10/17.39 (step-pop @p1845 :rule scope :premises (@p1844)) % 17.10/17.39 (step-pop @p1846 :rule scope :premises (@p1845)) % 17.10/17.39 (step-pop @p1847 :rule scope :premises (@p1846)) % 17.10/17.39 (step-pop @p1848 :rule scope :premises (@p1847)) % 17.10/17.39 (step-pop @p1849 :rule scope :premises (@p1848)) % 17.10/17.39 (step-pop @p1850 :rule scope :premises (@p1849)) % 17.10/17.39 (step-pop @p1851 :rule scope :premises (@p1850)) % 17.10/17.39 (step-pop @p1852 :rule scope :premises (@p1851)) % 17.10/17.39 (step-pop @p1853 :rule scope :premises (@p1852)) % 17.10/17.39 (step-pop @p1854 :rule scope :premises (@p1853)) % 17.10/17.39 (step-pop @p1855 :rule scope :premises (@p1854)) % 17.10/17.39 (step-pop @p1856 :rule scope :premises (@p1855)) % 17.10/17.39 (step-pop @p1857 :rule scope :premises (@p1856)) % 17.10/17.39 (step-pop @p1858 :rule scope :premises (@p1857)) % 17.10/17.39 (step-pop @p1859 :rule scope :premises (@p1858)) % 17.10/17.39 (step-pop @p1860 :rule scope :premises (@p1859)) % 17.10/17.39 (step-pop @p1861 :rule scope :premises (@p1860)) % 17.10/17.39 (step-pop @p1862 :rule scope :premises (@p1861)) % 17.10/17.39 (step-pop @p1863 :rule scope :premises (@p1862)) % 17.10/17.39 (step-pop @p1864 :rule scope :premises (@p1863)) % 17.10/17.39 (step @p1307 :rule process_scope :premises (@p1864) :args (@t333)) % 17.10/17.39 (step @p1329 :rule implies_elim :premises (@p1307)) % 17.10/17.39 (step @p1330 :rule cnf_and_neg :args (@t362)) % 17.10/17.39 (step @p1331 :rule resolution :premises (@p1330 @p1329) :args (true @t362)) % 17.10/17.39 (step @p1332 :rule reordering :premises (@p1331) :args ((or @t259 @t320 @t162 @t161 @t163 @t258 @t160 @t158 @t257 @t154 @t153 @t256 @t255 @t254 (not @t344) (not @t347) (not @t350) (not @t352) (not @t355) @t333 (not @t357) @t343))) % 17.10/17.39 (step @p1333 :rule chain_m_resolution :premises (@p1332 @p1072 @p1069 @p1083 @p1078 @p1109 @p356 @p78 @p83 @p357 @p87 @p88 @p358 @p359 @p361 @p1176 @p1175 @p1174 @p1173 @p1172 @p1171 @p1119) :args (@t333 (@list false false false false false false false false false false false false false false false false false false false false false) (@list @t94 @t319 @t98 @t99 @t100 @t225 @t104 @t108 @t227 @t118 @t123 @t229 @t231 @t235 @t344 @t347 @t350 @t352 @t355 @t357 @t341))) % 17.10/17.39 (step @p1334 :rule cnf_or_pos :args (@t335)) % 17.10/17.39 (step @p1335 :rule reordering :premises (@p1334) :args ((or @t334 @t331 (not @t335)))) % 17.10/17.39 (step @p1336 false :rule chain_m_resolution :premises (@p1335 @p1333 @p1170 @p1118) :args (false @t328 (@list @t333 @t330 @t335))) % 17.10/17.39 ) % 17.10/17.39 % SZS output end Proof % 17.10/17.39 % cvc5 exiting %------------------------------------------------------------------------------