%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP378-1 : 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 : n027.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 08:20:38 AM UTC 2026 % Result : Unsatisfiable 16.08s 16.48s % Output : Proof 16.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP378-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.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 01:03:06 EDT 2026 % 0.16/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/16.25 --- Run --no-e-matching --full-saturate-quant at 6... % 16.08/16.48 % SZS status Unsatisfiable % 16.08/16.48 % SZS output start Proof % 16.08/16.50 ( % 16.08/16.50 (declare-sort $$unsorted 0) % 16.08/16.50 (declare-const tptp.sk_c1 $$unsorted) % 16.08/16.50 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.08/16.50 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.08/16.50 (declare-const tptp.identity $$unsorted) % 16.08/16.50 (declare-const tptp.sk_c9 $$unsorted) % 16.08/16.50 (declare-const tptp.sk_c11 $$unsorted) % 16.08/16.50 (declare-const tptp.sk_c2 $$unsorted) % 16.08/16.50 (declare-const tptp.sk_c4 $$unsorted) % 16.08/16.50 (declare-const tptp.sk_c8 $$unsorted) % 16.08/16.50 (declare-const tptp.sk_c5 $$unsorted) % 16.08/16.50 (declare-const tptp.sk_c3 $$unsorted) % 16.08/16.50 (declare-const tptp.sk_c6 $$unsorted) % 16.08/16.50 (declare-const tptp.sk_c10 $$unsorted) % 16.08/16.50 (declare-const tptp.sk_c7 $$unsorted) % 16.08/16.50 (define @t1 () (@var "X" $$unsorted)) % 16.08/16.50 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.08/16.50 (define @t3 () (@list @t1)) % 16.08/16.50 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.08/16.50 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.08/16.50 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.08/16.50 (define @t7 () (@var "Z" $$unsorted)) % 16.08/16.50 (define @t8 () (@var "Y" $$unsorted)) % 16.08/16.50 (define @t9 () (tptp.multiply tptp.sk_c3 tptp.sk_c11)) % 16.08/16.50 (define @t10 () (= @t9 tptp.sk_c10)) % 16.08/16.50 (define @t11 () (tptp.inverse tptp.sk_c11)) % 16.08/16.50 (define @t12 () (= @t11 tptp.sk_c10)) % 16.08/16.50 (define @t13 () (or @t12 @t10)) % 16.08/16.50 (define @t14 () (tptp.inverse tptp.sk_c3)) % 16.08/16.50 (define @t15 () (= @t14 tptp.sk_c11)) % 16.08/16.50 (define @t16 () (or @t12 @t15)) % 16.08/16.50 (define @t17 () (tptp.multiply tptp.sk_c4 tptp.sk_c10)) % 16.08/16.50 (define @t18 () (= @t17 tptp.sk_c9)) % 16.08/16.50 (define @t19 () (tptp.inverse tptp.sk_c4)) % 16.08/16.50 (define @t20 () (= @t19 tptp.sk_c10)) % 16.08/16.50 (define @t21 () (or @t12 @t20)) % 16.08/16.50 (define @t22 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 16.08/16.50 (define @t23 () (= @t22 tptp.sk_c11)) % 16.08/16.50 (define @t24 () (or @t12 @t23)) % 16.08/16.50 (define @t25 () (tptp.inverse tptp.sk_c5)) % 16.08/16.50 (define @t26 () (= @t25 tptp.sk_c8)) % 16.08/16.50 (define @t27 () (or @t12 @t26)) % 16.08/16.50 (define @t28 () (tptp.multiply tptp.sk_c8 tptp.sk_c10)) % 16.08/16.50 (define @t29 () (= @t28 tptp.sk_c11)) % 16.08/16.50 (define @t30 () (tptp.inverse tptp.sk_c7)) % 16.08/16.50 (define @t31 () (= @t30 tptp.sk_c6)) % 16.08/16.50 (define @t32 () (tptp.inverse tptp.sk_c6)) % 16.08/16.50 (define @t33 () (= @t32 tptp.sk_c8)) % 16.08/16.50 (define @t34 () (tptp.multiply tptp.sk_c7 tptp.sk_c8)) % 16.08/16.50 (define @t35 () (= @t34 tptp.sk_c6)) % 16.08/16.50 (define @t36 () (tptp.multiply tptp.sk_c11 tptp.sk_c9)) % 16.08/16.50 (define @t37 () (= @t36 tptp.sk_c10)) % 16.08/16.50 (define @t38 () (or @t37 @t10)) % 16.08/16.50 (define @t39 () (or @t37 @t15)) % 16.08/16.50 (define @t40 () (or @t37 @t18)) % 16.08/16.50 (define @t41 () (or @t37 @t20)) % 16.08/16.50 (define @t42 () (tptp.multiply tptp.sk_c1 tptp.sk_c2)) % 16.08/16.50 (define @t43 () (= @t42 tptp.sk_c11)) % 16.08/16.50 (define @t44 () (or @t43 @t10)) % 16.08/16.50 (define @t45 () (or @t43 @t15)) % 16.08/16.50 (define @t46 () (or @t43 @t18)) % 16.08/16.50 (define @t47 () (or @t43 @t20)) % 16.08/16.50 (define @t48 () (or @t43 @t23)) % 16.08/16.50 (define @t49 () (or @t43 @t26)) % 16.08/16.50 (define @t50 () (or @t43 @t29)) % 16.08/16.50 (define @t51 () (or @t43 @t31)) % 16.08/16.50 (define @t52 () (or @t43 @t33)) % 16.08/16.50 (define @t53 () (or @t43 @t35)) % 16.08/16.50 (define @t54 () (tptp.inverse tptp.sk_c1)) % 16.08/16.50 (define @t55 () (= @t54 tptp.sk_c2)) % 16.08/16.50 (define @t56 () (or @t55 @t10)) % 16.08/16.50 (define @t57 () (or @t55 @t15)) % 16.08/16.50 (define @t58 () (or @t55 @t18)) % 16.08/16.50 (define @t59 () (or @t55 @t20)) % 16.08/16.50 (define @t60 () (or @t55 @t23)) % 16.08/16.50 (define @t61 () (or @t55 @t26)) % 16.08/16.50 (define @t62 () (or @t55 @t29)) % 16.08/16.50 (define @t63 () (or @t55 @t31)) % 16.08/16.50 (define @t64 () (or @t55 @t33)) % 16.08/16.50 (define @t65 () (or @t55 @t35)) % 16.08/16.50 (define @t66 () (tptp.multiply tptp.sk_c2 tptp.sk_c10)) % 16.08/16.50 (define @t67 () (= @t66 tptp.sk_c11)) % 16.08/16.50 (define @t68 () (or @t67 @t10)) % 16.08/16.50 (define @t69 () (or @t67 @t15)) % 16.08/16.50 (define @t70 () (or @t67 @t18)) % 16.08/16.50 (define @t71 () (or @t67 @t20)) % 16.08/16.50 (define @t72 () (or @t67 @t23)) % 16.08/16.50 (define @t73 () (or @t67 @t26)) % 16.08/16.50 (define @t74 () (or @t67 @t29)) % 16.08/16.50 (define @t75 () (or @t67 @t31)) % 16.08/16.50 (define @t76 () (or @t67 @t33)) % 16.08/16.50 (define @t77 () (or @t67 @t35)) % 16.08/16.50 (define @t78 () (@var "X8" $$unsorted)) % 16.08/16.50 (define @t79 () (@var "X6" $$unsorted)) % 16.08/16.50 (define @t80 () (@var "X7" $$unsorted)) % 16.08/16.50 (define @t81 () (tptp.multiply @t80 @t79)) % 16.08/16.50 (define @t82 () (not (= @t81 @t78))) % 16.08/16.50 (define @t83 () (tptp.inverse @t78)) % 16.08/16.50 (define @t84 () (not (= @t83 @t79))) % 16.08/16.50 (define @t85 () (tptp.inverse @t80)) % 16.08/16.50 (define @t86 () (not (= @t85 @t78))) % 16.08/16.50 (define @t87 () (tptp.multiply @t79 tptp.sk_c10)) % 16.08/16.50 (define @t88 () (not (= @t87 tptp.sk_c11))) % 16.08/16.50 (define @t89 () (@var "X5" $$unsorted)) % 16.08/16.50 (define @t90 () (tptp.inverse @t89)) % 16.08/16.50 (define @t91 () (not (= @t90 @t79))) % 16.08/16.50 (define @t92 () (tptp.multiply @t89 @t79)) % 16.08/16.50 (define @t93 () (not (= @t92 tptp.sk_c11))) % 16.08/16.50 (define @t94 () (@var "X2" $$unsorted)) % 16.08/16.50 (define @t95 () (tptp.inverse @t94)) % 16.08/16.50 (define @t96 () (not (= @t95 tptp.sk_c10))) % 16.08/16.50 (define @t97 () (tptp.multiply @t94 tptp.sk_c10)) % 16.08/16.50 (define @t98 () (not (= @t97 tptp.sk_c9))) % 16.08/16.50 (define @t99 () (@var "X1" $$unsorted)) % 16.08/16.50 (define @t100 () (tptp.inverse @t99)) % 16.08/16.50 (define @t101 () (not (= @t100 tptp.sk_c11))) % 16.08/16.50 (define @t102 () (tptp.multiply @t99 tptp.sk_c11)) % 16.08/16.50 (define @t103 () (not (= @t102 tptp.sk_c10))) % 16.08/16.50 (define @t104 () (@var "X4" $$unsorted)) % 16.08/16.50 (define @t105 () (tptp.multiply @t104 tptp.sk_c10)) % 16.08/16.50 (define @t106 () (not (= @t105 tptp.sk_c11))) % 16.08/16.50 (define @t107 () (@var "X3" $$unsorted)) % 16.08/16.50 (define @t108 () (tptp.inverse @t107)) % 16.08/16.50 (define @t109 () (not (= @t108 @t104))) % 16.08/16.50 (define @t110 () (tptp.multiply @t107 @t104)) % 16.08/16.50 (define @t111 () (not (= @t110 tptp.sk_c11))) % 16.08/16.50 (define @t112 () (not @t37)) % 16.08/16.50 (define @t113 () (not @t12)) % 16.08/16.50 (define @t114 () (or @t113 @t112 @t111 @t109 @t106 @t103 @t101 @t98 @t96 @t93 @t91 @t88 @t86 @t84 @t82)) % 16.08/16.50 (define @t115 () (@list @t107 @t104 @t99 @t94 @t89 @t79 @t80 @t78)) % 16.08/16.50 (define @t116 () (forall @t115 @t114)) % 16.08/16.50 (define @t117 () (@list tptp.sk_c11)) % 16.08/16.50 (define @t118 () (@list tptp.sk_c10)) % 16.08/16.50 (define @t119 () (@list tptp.sk_c4)) % 16.08/16.50 (define @t120 () (@list tptp.sk_c3)) % 16.08/16.50 (define @t121 () (@list tptp.sk_c8)) % 16.08/16.50 (define @t122 () (@list tptp.sk_c5)) % 16.08/16.50 (define @t123 () (= tptp.sk_c11 @t66)) % 16.08/16.50 (define @t124 () (= tptp.sk_c10 @t9)) % 16.08/16.50 (define @t125 () (= tptp.sk_c11 @t14)) % 16.08/16.50 (define @t126 () (= tptp.sk_c9 @t17)) % 16.08/16.50 (define @t127 () (= tptp.sk_c10 @t19)) % 16.08/16.50 (define @t128 () (= tptp.sk_c11 @t22)) % 16.08/16.50 (define @t129 () (= tptp.sk_c8 @t25)) % 16.08/16.50 (define @t130 () (= tptp.sk_c11 @t28)) % 16.08/16.50 (define @t131 () (= tptp.sk_c6 @t30)) % 16.08/16.50 (define @t132 () (= tptp.sk_c8 @t32)) % 16.08/16.50 (define @t133 () (= tptp.sk_c6 @t34)) % 16.08/16.50 (define @t134 () (not @t125)) % 16.08/16.50 (define @t135 () (not @t124)) % 16.08/16.50 (define @t136 () (or @t135 @t134)) % 16.08/16.50 (define @t137 () (not (= tptp.sk_c11 @t100))) % 16.08/16.50 (define @t138 () (not (= tptp.sk_c10 @t102))) % 16.08/16.50 (define @t139 () (or @t138 @t137)) % 16.08/16.50 (define @t140 () (forall (@list @t99) @t139)) % 16.08/16.50 (define @t141 () (= tptp.sk_c11 (tptp.multiply @t25 tptp.sk_c10))) % 16.08/16.50 (define @t142 () (and @t129 @t130)) % 16.08/16.50 (define @t143 () (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 @t25))) % 16.08/16.50 (define @t144 () (and @t128 @t129)) % 16.08/16.50 (define @t145 () (not @t141)) % 16.08/16.50 (define @t146 () (not @t143)) % 16.08/16.50 (define @t147 () (or @t146 @t145)) % 16.08/16.50 (define @t148 () (not @t147)) % 16.08/16.50 (define @t149 () (not @t129)) % 16.08/16.50 (define @t150 () (not @t128)) % 16.08/16.50 (define @t151 () (not (= tptp.sk_c11 (tptp.multiply @t108 tptp.sk_c10)))) % 16.08/16.50 (define @t152 () (not (= tptp.sk_c11 (tptp.multiply @t107 @t108)))) % 16.08/16.50 (define @t153 () (or @t152 @t151)) % 16.08/16.50 (define @t154 () (@list @t107)) % 16.08/16.50 (define @t155 () (forall @t154 @t153)) % 16.08/16.50 (define @t156 () (not @t127)) % 16.08/16.50 (define @t157 () (not @t126)) % 16.08/16.50 (define @t158 () (or @t157 @t156)) % 16.08/16.50 (define @t159 () (not (= tptp.sk_c10 @t95))) % 16.08/16.50 (define @t160 () (not (= tptp.sk_c9 @t97))) % 16.08/16.50 (define @t161 () (or @t160 @t159)) % 16.08/16.50 (define @t162 () (forall (@list @t94) @t161)) % 16.08/16.50 (define @t163 () (tptp.multiply @t80 @t90)) % 16.08/16.50 (define @t164 () (not (= @t85 @t163))) % 16.08/16.50 (define @t165 () (not (= @t90 (tptp.inverse @t85)))) % 16.08/16.50 (define @t166 () (not (= tptp.sk_c11 (tptp.multiply @t90 tptp.sk_c10)))) % 16.08/16.50 (define @t167 () (not (= tptp.sk_c11 (tptp.multiply @t89 @t90)))) % 16.08/16.50 (define @t168 () (or @t167 @t166 @t165 @t164)) % 16.08/16.50 (define @t169 () (not (= @t85 @t85))) % 16.08/16.50 (define @t170 () (or @t167 @t166 @t169 @t165 @t164)) % 16.08/16.50 (define @t171 () (@list @t89 @t80)) % 16.08/16.50 (define @t172 () (not (= @t78 @t163))) % 16.08/16.50 (define @t173 () (not (= @t90 @t83))) % 16.08/16.50 (define @t174 () (not (= @t78 @t85))) % 16.08/16.50 (define @t175 () (or @t174 @t167 @t166 @t174 @t173 @t172)) % 16.08/16.50 (define @t176 () (@list @t78)) % 16.08/16.50 (define @t177 () (or @t167 @t166 @t174 @t173 @t172)) % 16.08/16.50 (define @t178 () (forall @t176 @t177)) % 16.08/16.50 (define @t179 () (forall @t171 @t178)) % 16.08/16.50 (define @t180 () (@list @t89 @t80 @t78)) % 16.08/16.50 (define @t181 () (not (= @t90 @t90))) % 16.08/16.50 (define @t182 () (or @t167 @t181 @t166 @t174 @t173 @t172)) % 16.08/16.50 (define @t183 () (not (= @t78 @t81))) % 16.08/16.50 (define @t184 () (not (= @t79 @t83))) % 16.08/16.50 (define @t185 () (not (= tptp.sk_c11 @t87))) % 16.08/16.50 (define @t186 () (not (= @t79 @t90))) % 16.08/16.50 (define @t187 () (not (= tptp.sk_c11 @t92))) % 16.08/16.50 (define @t188 () (or @t186 @t187 @t186 @t185 @t174 @t184 @t183)) % 16.08/16.50 (define @t189 () (@list @t79)) % 16.08/16.50 (define @t190 () (or @t187 @t186 @t185 @t174 @t184 @t183)) % 16.08/16.50 (define @t191 () (forall @t189 @t190)) % 16.08/16.50 (define @t192 () (forall @t180 @t191)) % 16.08/16.50 (define @t193 () (forall (@list @t89 @t80 @t78 @t79) @t190)) % 16.08/16.50 (define @t194 () (forall (@list @t89 @t79 @t80 @t78) @t190)) % 16.08/16.50 (define @t195 () (not (= @t108 @t108))) % 16.08/16.50 (define @t196 () (or @t152 @t195 @t151)) % 16.08/16.50 (define @t197 () (not (= tptp.sk_c11 @t105))) % 16.08/16.50 (define @t198 () (not (= @t104 @t108))) % 16.08/16.50 (define @t199 () (not (= tptp.sk_c11 @t110))) % 16.08/16.50 (define @t200 () (or @t198 @t199 @t198 @t197)) % 16.08/16.50 (define @t201 () (@list @t104)) % 16.08/16.50 (define @t202 () (or @t199 @t198 @t197)) % 16.08/16.50 (define @t203 () (forall @t201 @t202)) % 16.08/16.50 (define @t204 () (forall @t154 @t203)) % 16.08/16.50 (define @t205 () (forall (@list @t107 @t104) @t202)) % 16.08/16.50 (define @t206 () (= tptp.sk_c10 @t36)) % 16.08/16.50 (define @t207 () (not @t206)) % 16.08/16.50 (define @t208 () (= tptp.sk_c10 @t11)) % 16.08/16.50 (define @t209 () (not @t208)) % 16.08/16.50 (define @t210 () (or @t209 @t207 @t205 @t140 @t162 @t194)) % 16.08/16.50 (define @t211 () (or @t209 @t207 @t202 @t139 @t161 @t190)) % 16.08/16.50 (define @t212 () (or @t209 @t207 @t199 @t198 @t197 @t138 @t137 @t160 @t159 @t187 @t186 @t185 @t174 @t184 @t183)) % 16.08/16.50 (define @t213 () (forall @t171 @t168)) % 16.08/16.50 (define @t214 () (= @t30 (tptp.multiply tptp.sk_c7 @t25))) % 16.08/16.50 (define @t215 () (not @t214)) % 16.08/16.50 (define @t216 () (= @t25 (tptp.inverse @t30))) % 16.08/16.50 (define @t217 () (not @t216)) % 16.08/16.50 (define @t218 () (or @t146 @t145 @t217 @t215)) % 16.08/16.50 (define @t219 () (and @t129 @t131 @t133)) % 16.08/16.50 (define @t220 () (and @t129 @t131 @t132)) % 16.08/16.50 (define @t221 () (= tptp.sk_c2 @t54)) % 16.08/16.50 (define @t222 () (= tptp.sk_c11 @t42)) % 16.08/16.50 (define @t223 () (= tptp.sk_c11 (tptp.multiply tptp.sk_c1 @t54))) % 16.08/16.50 (define @t224 () (and @t222 @t221)) % 16.08/16.50 (define @t225 () (= tptp.sk_c11 (tptp.multiply @t54 tptp.sk_c10))) % 16.08/16.50 (define @t226 () (and @t221 @t123)) % 16.08/16.50 (define @t227 () (not @t225)) % 16.08/16.50 (define @t228 () (not @t223)) % 16.08/16.50 (define @t229 () (or @t228 @t227)) % 16.08/16.50 (define @t230 () (@list tptp.sk_c1)) % 16.08/16.50 (define @t231 () (not @t123)) % 16.08/16.50 (define @t232 () (not @t221)) % 16.08/16.50 (define @t233 () (not @t222)) % 16.08/16.50 (define @t234 () (tptp.multiply tptp.sk_c11 tptp.sk_c10)) % 16.08/16.50 (define @t235 () (tptp.multiply tptp.identity tptp.sk_c11)) % 16.08/16.50 (define @t236 () (= tptp.sk_c11 @t235)) % 16.08/16.50 (define @t237 () (tptp.multiply tptp.identity tptp.sk_c10)) % 16.08/16.50 (define @t238 () (= tptp.sk_c10 @t237)) % 16.08/16.50 (define @t239 () (tptp.multiply @t11 tptp.sk_c11)) % 16.08/16.50 (define @t240 () (= tptp.identity @t239)) % 16.08/16.50 (define @t241 () (tptp.multiply tptp.identity tptp.sk_c9)) % 16.08/16.50 (define @t242 () (= tptp.sk_c9 @t241)) % 16.08/16.50 (define @t243 () (tptp.multiply tptp.sk_c10 tptp.sk_c11)) % 16.08/16.50 (define @t244 () (tptp.multiply @t243 tptp.sk_c9)) % 16.08/16.50 (define @t245 () (= @t244 (tptp.multiply tptp.sk_c10 @t36))) % 16.08/16.50 (define @t246 () (tptp.multiply tptp.sk_c10 tptp.sk_c10)) % 16.08/16.50 (define @t247 () (tptp.multiply @t246 tptp.sk_c11)) % 16.08/16.50 (define @t248 () (= @t247 (tptp.multiply tptp.sk_c10 @t243))) % 16.08/16.50 (define @t249 () (tptp.multiply tptp.sk_c11 @t234)) % 16.08/16.50 (define @t250 () (tptp.multiply tptp.sk_c11 tptp.sk_c11)) % 16.08/16.50 (define @t251 () (tptp.multiply @t250 tptp.sk_c10)) % 16.08/16.50 (define @t252 () (= @t251 @t249)) % 16.08/16.50 (define @t253 () (tptp.multiply tptp.sk_c10 tptp.identity)) % 16.08/16.50 (define @t254 () (tptp.multiply tptp.sk_c11 @t253)) % 16.08/16.50 (define @t255 () (tptp.multiply @t234 tptp.identity)) % 16.08/16.50 (define @t256 () (= @t255 @t254)) % 16.08/16.50 (define @t257 () (tptp.multiply @t36 tptp.sk_c11)) % 16.08/16.50 (define @t258 () (= @t257 (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c9 tptp.sk_c11)))) % 16.08/16.50 (define @t259 () (tptp.multiply @t234 tptp.sk_c11)) % 16.08/16.50 (define @t260 () (= @t259 (tptp.multiply tptp.sk_c11 @t243))) % 16.08/16.50 (define @t261 () (tptp.multiply @t255 tptp.sk_c11)) % 16.08/16.50 (define @t262 () (= @t261 (tptp.multiply @t234 @t235))) % 16.08/16.50 (define @t263 () (tptp.multiply @t42 tptp.sk_c10)) % 16.08/16.50 (define @t264 () (= @t263 (tptp.multiply tptp.sk_c1 @t66))) % 16.08/16.50 (define @t265 () (tptp.multiply tptp.sk_c11 tptp.identity)) % 16.08/16.50 (define @t266 () (tptp.multiply tptp.sk_c1 @t265)) % 16.08/16.50 (define @t267 () (tptp.multiply tptp.sk_c1 tptp.sk_c11)) % 16.08/16.50 (define @t268 () (tptp.multiply @t267 tptp.identity)) % 16.08/16.50 (define @t269 () (= @t268 @t266)) % 16.08/16.50 (define @t270 () (tptp.multiply tptp.sk_c10 @t234)) % 16.08/16.50 (define @t271 () (tptp.multiply @t243 tptp.sk_c10)) % 16.08/16.50 (define @t272 () (= @t271 @t270)) % 16.08/16.50 (define @t273 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.08/16.50 (define @t274 () (= tptp.sk_c2 @t273)) % 16.08/16.50 (define @t275 () (tptp.multiply @t54 tptp.sk_c1)) % 16.08/16.50 (define @t276 () (= tptp.identity @t275)) % 16.08/16.50 (define @t277 () (tptp.multiply @t54 @t42)) % 16.08/16.50 (define @t278 () (tptp.multiply @t275 tptp.sk_c2)) % 16.08/16.50 (define @t279 () (= @t278 @t277)) % 16.08/16.50 (define @t280 () (tptp.multiply tptp.sk_c2 tptp.sk_c11)) % 16.08/16.50 (define @t281 () (tptp.multiply tptp.sk_c1 @t280)) % 16.08/16.50 (define @t282 () (tptp.multiply @t42 tptp.sk_c11)) % 16.08/16.50 (define @t283 () (= @t282 @t281)) % 16.08/16.50 (define @t284 () (tptp.multiply @t235 tptp.sk_c11)) % 16.08/16.50 (define @t285 () (tptp.multiply tptp.sk_c11 @t265)) % 16.08/16.50 (define @t286 () (= tptp.sk_c10 @t235)) % 16.08/16.50 (define @t287 () (and @t208 @t206 @t222 @t221 @t123 @t236 @t238 @t240 @t242 @t245 @t248 @t252 @t256 @t258 @t260 @t262 @t264 @t269 @t272 @t274 @t276 @t279 @t283)) % 16.08/16.50 (define @t288 () (not @t283)) % 16.08/16.50 (define @t289 () (not @t279)) % 16.08/16.50 (define @t290 () (not @t276)) % 16.08/16.50 (define @t291 () (not @t274)) % 16.08/16.50 (define @t292 () (not @t272)) % 16.08/16.50 (define @t293 () (not @t269)) % 16.08/16.50 (define @t294 () (not @t264)) % 16.08/16.50 (define @t295 () (not @t262)) % 16.08/16.50 (define @t296 () (not @t260)) % 16.08/16.50 (define @t297 () (not @t258)) % 16.08/16.50 (define @t298 () (not @t256)) % 16.08/16.50 (define @t299 () (not @t252)) % 16.08/16.50 (define @t300 () (not @t248)) % 16.08/16.50 (define @t301 () (not @t245)) % 16.08/16.50 (define @t302 () (not @t242)) % 16.08/16.50 (define @t303 () (not @t240)) % 16.08/16.50 (define @t304 () (not @t238)) % 16.08/16.50 (define @t305 () (not @t236)) % 16.08/16.50 (define @t306 () (tptp.inverse tptp.identity)) % 16.08/16.50 (define @t307 () (= tptp.sk_c11 @t306)) % 16.08/16.50 (define @t308 () (not @t307)) % 16.08/16.50 (define @t309 () (not @t286)) % 16.08/16.50 (define @t310 () (or @t309 @t308)) % 16.08/16.50 (define @t311 () (@list tptp.identity)) % 16.08/16.50 (define @t312 () (= tptp.sk_c9 @t234)) % 16.08/16.50 (define @t313 () (not @t312)) % 16.08/16.50 (define @t314 () (or @t313 @t209)) % 16.08/16.50 (define @t315 () (tptp.multiply tptp.identity tptp.identity)) % 16.08/16.50 (define @t316 () (= tptp.identity @t315)) % 16.08/16.50 (define @t317 () (tptp.multiply tptp.sk_c11 @t11)) % 16.08/16.50 (define @t318 () (= tptp.sk_c11 @t317)) % 16.08/16.50 (define @t319 () (and @t208 @t206 @t222 @t221 @t123 @t316 @t236 @t238 @t240 @t242 @t245 @t248 @t252 @t256 @t258 @t260 @t262 @t264 @t269 @t272 @t274 @t276 @t279 @t283)) % 16.08/16.50 (define @t320 () (= tptp.sk_c11 (tptp.multiply @t11 tptp.sk_c10))) % 16.08/16.50 (define @t321 () (= @t11 (tptp.inverse @t11))) % 16.08/16.50 (define @t322 () (= @t11 @t317)) % 16.08/16.50 (define @t323 () (not @t322)) % 16.08/16.50 (define @t324 () (not @t321)) % 16.08/16.50 (define @t325 () (not @t320)) % 16.08/16.50 (define @t326 () (not @t318)) % 16.08/16.50 (define @t327 () (or @t326 @t325 @t324 @t323)) % 16.08/16.50 (define @t328 () (tptp.inverse tptp.sk_c10)) % 16.08/16.50 (define @t329 () (tptp.multiply @t328 @t270)) % 16.08/16.50 (define @t330 () (tptp.multiply @t328 tptp.sk_c10)) % 16.08/16.50 (define @t331 () (tptp.multiply @t330 @t234)) % 16.08/16.50 (define @t332 () (= @t331 @t329)) % 16.08/16.50 (define @t333 () (not @t332)) % 16.08/16.50 (define @t334 () (tptp.multiply @t14 tptp.sk_c3)) % 16.08/16.50 (define @t335 () (tptp.multiply @t334 tptp.sk_c11)) % 16.08/16.50 (define @t336 () (= @t335 (tptp.multiply @t14 @t9))) % 16.08/16.50 (define @t337 () (not @t336)) % 16.08/16.50 (define @t338 () (tptp.multiply tptp.identity @t234)) % 16.08/16.50 (define @t339 () (tptp.multiply @t235 tptp.sk_c10)) % 16.08/16.50 (define @t340 () (= @t339 @t338)) % 16.08/16.50 (define @t341 () (not @t340)) % 16.08/16.50 (define @t342 () (tptp.multiply @t19 tptp.sk_c4)) % 16.08/16.50 (define @t343 () (= tptp.identity @t342)) % 16.08/16.50 (define @t344 () (not @t343)) % 16.08/16.50 (define @t345 () (= tptp.identity @t334)) % 16.08/16.50 (define @t346 () (not @t345)) % 16.08/16.50 (define @t347 () (tptp.multiply tptp.identity tptp.sk_c4)) % 16.08/16.50 (define @t348 () (= tptp.sk_c4 @t347)) % 16.08/16.50 (define @t349 () (not @t348)) % 16.08/16.50 (define @t350 () (= tptp.identity @t330)) % 16.08/16.50 (define @t351 () (not @t350)) % 16.08/16.50 (define @t352 () (not @t316)) % 16.08/16.50 (define @t353 () (tptp.multiply tptp.sk_c4 tptp.sk_c11)) % 16.08/16.50 (define @t354 () (= tptp.sk_c10 @t353)) % 16.08/16.50 (define @t355 () (not @t354)) % 16.08/16.50 (define @t356 () (and @t355 @t354)) % 16.08/16.50 (define @t357 () (@list true)) % 16.08/16.50 (define @t358 () (@list @t208)) % 16.08/16.50 (define @t359 () (tptp.inverse tptp.sk_c8)) % 16.08/16.50 (define @t360 () (tptp.multiply tptp.identity tptp.sk_c8)) % 16.08/16.50 (define @t361 () (= tptp.sk_c8 @t360)) % 16.08/16.50 (define @t362 () (tptp.multiply @t25 tptp.sk_c5)) % 16.08/16.50 (define @t363 () (= tptp.identity @t362)) % 16.08/16.50 (define @t364 () (tptp.multiply @t359 tptp.sk_c8)) % 16.08/16.50 (define @t365 () (= tptp.identity @t364)) % 16.08/16.50 (define @t366 () (tptp.multiply @t25 @t22)) % 16.08/16.50 (define @t367 () (= (tptp.multiply @t362 tptp.sk_c8) @t366)) % 16.08/16.50 (define @t368 () (tptp.multiply @t239 tptp.sk_c10)) % 16.08/16.50 (define @t369 () (= @t368 (tptp.multiply @t11 @t234))) % 16.08/16.50 (define @t370 () (tptp.multiply @t364 tptp.sk_c11)) % 16.08/16.50 (define @t371 () (= @t370 (tptp.multiply @t359 (tptp.multiply tptp.sk_c8 tptp.sk_c11)))) % 16.08/16.50 (define @t372 () (and @t124 @t125 @t127 @t128 @t129 @t236 @t238 @t240 @t348 @t345 @t343 @t340 @t361 @t363 @t365 @t336 @t367 @t369 @t371)) % 16.08/16.50 (assume @p1 @t4) % 16.08/16.50 (assume @p2 @t6) % 16.08/16.50 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.08/16.50 (assume @p4 @t13) % 16.08/16.50 (assume @p5 @t16) % 16.08/16.50 (assume @p6 (or @t12 @t18)) % 16.08/16.50 (assume @p7 @t21) % 16.08/16.50 (assume @p8 @t24) % 16.08/16.50 (assume @p9 @t27) % 16.08/16.50 (assume @p10 (or @t12 @t29)) % 16.08/16.50 (assume @p11 (or @t12 @t31)) % 16.08/16.50 (assume @p12 (or @t12 @t33)) % 16.08/16.50 (assume @p13 (or @t12 @t35)) % 16.08/16.50 (assume @p14 @t38) % 16.08/16.50 (assume @p15 @t39) % 16.08/16.50 (assume @p16 @t40) % 16.08/16.50 (assume @p17 @t41) % 16.08/16.50 (assume @p18 (or @t37 @t23)) % 16.08/16.50 (assume @p19 (or @t37 @t26)) % 16.08/16.50 (assume @p20 (or @t37 @t29)) % 16.08/16.50 (assume @p21 (or @t37 @t31)) % 16.08/16.50 (assume @p22 (or @t37 @t33)) % 16.08/16.50 (assume @p23 (or @t37 @t35)) % 16.08/16.50 (assume @p24 @t44) % 16.08/16.50 (assume @p25 @t45) % 16.08/16.50 (assume @p26 @t46) % 16.08/16.50 (assume @p27 @t47) % 16.08/16.50 (assume @p28 @t48) % 16.08/16.50 (assume @p29 @t49) % 16.08/16.50 (assume @p30 @t50) % 16.08/16.50 (assume @p31 @t51) % 16.08/16.50 (assume @p32 @t52) % 16.08/16.50 (assume @p33 @t53) % 16.08/16.50 (assume @p34 @t56) % 16.08/16.50 (assume @p35 @t57) % 16.08/16.50 (assume @p36 @t58) % 16.08/16.50 (assume @p37 @t59) % 16.08/16.50 (assume @p38 @t60) % 16.08/16.50 (assume @p39 @t61) % 16.08/16.50 (assume @p40 @t62) % 16.08/16.50 (assume @p41 @t63) % 16.08/16.50 (assume @p42 @t64) % 16.08/16.50 (assume @p43 @t65) % 16.08/16.50 (assume @p44 @t68) % 16.08/16.50 (assume @p45 @t69) % 16.08/16.50 (assume @p46 @t70) % 16.08/16.50 (assume @p47 @t71) % 16.08/16.50 (assume @p48 @t72) % 16.08/16.50 (assume @p49 @t73) % 16.08/16.50 (assume @p50 @t74) % 16.08/16.50 (assume @p51 @t75) % 16.08/16.50 (assume @p52 @t76) % 16.08/16.50 (assume @p53 @t77) % 16.08/16.50 (assume @p54 @t116) % 16.08/16.50 (step @p55 :rule eq-symm :args (@t2 @t1)) % 16.08/16.50 (step @p56 :rule cong :premises (@p55) :args (@t4)) % 16.08/16.50 (step @p57 :rule eq_resolve :premises (@p1 @p56)) % 16.08/16.50 (step @p58 :rule instantiate :premises (@p57) :args (@t117)) % 16.08/16.50 (step @p59 :rule instantiate :premises (@p57) :args (@t118)) % 16.08/16.50 (step @p60 :rule eq-symm :args (@t5 tptp.identity)) % 16.08/16.50 (step @p61 :rule cong :premises (@p60) :args (@t6)) % 16.08/16.50 (step @p62 :rule eq_resolve :premises (@p2 @p61)) % 16.08/16.50 (step @p63 :rule instantiate :premises (@p62) :args (@t117)) % 16.08/16.50 (step @p64 :rule instantiate :premises (@p57) :args (@t119)) % 16.08/16.50 (step @p65 :rule instantiate :premises (@p62) :args (@t120)) % 16.08/16.50 (step @p66 :rule instantiate :premises (@p62) :args (@t119)) % 16.08/16.50 (step @p67 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.sk_c11 tptp.sk_c10))) % 16.08/16.50 (step @p68 :rule instantiate :premises (@p57) :args (@t121)) % 16.08/16.50 (step @p69 :rule instantiate :premises (@p62) :args (@t122)) % 16.08/16.50 (step @p70 :rule instantiate :premises (@p62) :args (@t121)) % 16.08/16.50 (step @p71 :rule instantiate :premises (@p3) :args ((@list @t14 tptp.sk_c3 tptp.sk_c11))) % 16.08/16.50 (step @p72 :rule instantiate :premises (@p3) :args ((@list @t25 tptp.sk_c5 tptp.sk_c8))) % 16.08/16.50 (step @p73 :rule eq-symm :args (@t9 tptp.sk_c10)) % 16.08/16.50 (step @p74 :rule eq-symm :args (@t66 tptp.sk_c11)) % 16.08/16.50 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t68)) % 16.08/16.50 (step @p76 :rule eq_resolve :premises (@p44 @p75)) % 16.08/16.50 (step @p77 :rule reordering :premises (@p76) :args ((or @t124 @t123))) % 16.08/16.50 (step @p78 :rule eq-symm :args (@t14 tptp.sk_c11)) % 16.08/16.50 (step @p79 :rule nary_cong :premises (@p74 @p78) :args (@t69)) % 16.08/16.50 (step @p80 :rule eq_resolve :premises (@p45 @p79)) % 16.08/16.50 (step @p81 :rule reordering :premises (@p80) :args ((or @t125 @t123))) % 16.08/16.50 (step @p82 :rule eq-symm :args (@t17 tptp.sk_c9)) % 16.08/16.50 (step @p83 :rule nary_cong :premises (@p74 @p82) :args (@t70)) % 16.08/16.50 (step @p84 :rule eq_resolve :premises (@p46 @p83)) % 16.08/16.50 (step @p85 :rule reordering :premises (@p84) :args ((or @t126 @t123))) % 16.08/16.50 (step @p86 :rule eq-symm :args (@t19 tptp.sk_c10)) % 16.08/16.50 (step @p87 :rule nary_cong :premises (@p74 @p86) :args (@t71)) % 16.08/16.50 (step @p88 :rule eq_resolve :premises (@p47 @p87)) % 16.08/16.50 (step @p89 :rule reordering :premises (@p88) :args ((or @t127 @t123))) % 16.08/16.50 (step @p90 :rule eq-symm :args (@t22 tptp.sk_c11)) % 16.08/16.50 (step @p91 :rule nary_cong :premises (@p74 @p90) :args (@t72)) % 16.08/16.50 (step @p92 :rule eq_resolve :premises (@p48 @p91)) % 16.08/16.50 (step @p93 :rule reordering :premises (@p92) :args ((or @t128 @t123))) % 16.08/16.50 (step @p94 :rule eq-symm :args (@t25 tptp.sk_c8)) % 16.08/16.50 (step @p95 :rule nary_cong :premises (@p74 @p94) :args (@t73)) % 16.08/16.50 (step @p96 :rule eq_resolve :premises (@p49 @p95)) % 16.08/16.50 (step @p97 :rule reordering :premises (@p96) :args ((or @t129 @t123))) % 16.08/16.50 (step @p98 :rule eq-symm :args (@t28 tptp.sk_c11)) % 16.08/16.50 (step @p99 :rule nary_cong :premises (@p74 @p98) :args (@t74)) % 16.08/16.50 (step @p100 :rule eq_resolve :premises (@p50 @p99)) % 16.08/16.50 (step @p101 :rule reordering :premises (@p100) :args ((or @t130 @t123))) % 16.08/16.50 (step @p102 :rule eq-symm :args (@t30 tptp.sk_c6)) % 16.08/16.50 (step @p103 :rule nary_cong :premises (@p74 @p102) :args (@t75)) % 16.08/16.50 (step @p104 :rule eq_resolve :premises (@p51 @p103)) % 16.08/16.50 (step @p105 :rule reordering :premises (@p104) :args ((or @t131 @t123))) % 16.08/16.50 (step @p106 :rule eq-symm :args (@t32 tptp.sk_c8)) % 16.08/16.50 (step @p107 :rule nary_cong :premises (@p74 @p106) :args (@t76)) % 16.08/16.50 (step @p108 :rule eq_resolve :premises (@p52 @p107)) % 16.08/16.50 (step @p109 :rule reordering :premises (@p108) :args ((or @t132 @t123))) % 16.08/16.50 (step @p110 :rule eq-symm :args (@t34 tptp.sk_c6)) % 16.08/16.50 (step @p111 :rule nary_cong :premises (@p74 @p110) :args (@t77)) % 16.08/16.50 (step @p112 :rule eq_resolve :premises (@p53 @p111)) % 16.08/16.50 (step @p113 :rule reordering :premises (@p112) :args ((or @t133 @t123))) % 16.08/16.50 (step @p114 :rule cnf_or_pos :args (@t136)) % 16.08/16.50 (step @p115 :rule reordering :premises (@p114) :args ((or @t135 @t134 (not @t136)))) % 16.08/16.50 (assume-push @p1936 @t140) % 16.08/16.50 (step @p117 :rule instantiate :premises (@p1936) :args (@t120)) % 16.08/16.50 (step-pop @p1937 :rule scope :premises (@p117)) % 16.08/16.50 (step @p118 :rule process_scope :premises (@p1937) :args (@t136)) % 16.08/16.50 (step @p120 :rule implies_elim :premises (@p118)) % 16.08/16.50 (assume-push @p1938 @t129) % 16.08/16.50 (assume-push @p1939 @t130) % 16.08/16.50 (assume-push @p1940 @t129) % 16.08/16.50 (assume-push @p1941 @t130) % 16.08/16.50 (step @p125 :rule refl :args (tptp.sk_c10)) % 16.08/16.50 (step @p126 :rule cong :premises (@p1938 @p125) :args (@t28)) % 16.08/16.50 (step @p127 :rule trans :premises (@p1939 @p126)) % 16.08/16.50 (step-pop @p1942 :rule scope :premises (@p127)) % 16.08/16.50 (step-pop @p1943 :rule scope :premises (@p1942)) % 16.08/16.50 (step @p128 :rule process_scope :premises (@p1943) :args (@t141)) % 16.08/16.50 (step @p131 :rule and_intro :premises (@p1938 @p1939)) % 16.08/16.50 (step @p132 :rule modus_ponens :premises (@p131 @p128)) % 16.08/16.50 (step-pop @p1944 :rule scope :premises (@p132)) % 16.08/16.50 (step-pop @p1945 :rule scope :premises (@p1944)) % 16.08/16.50 (step @p133 :rule process_scope :premises (@p1945) :args (@t141)) % 16.08/16.50 (step @p136 :rule implies_elim :premises (@p133)) % 16.08/16.50 (step @p137 :rule cnf_and_neg :args (@t142)) % 16.08/16.50 (step @p138 :rule resolution :premises (@p137 @p136) :args (true @t142)) % 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16.08/16.50 (step @p255 :rule eq-symm :args (@t83 @t79)) % 16.08/16.50 (step @p256 :rule cong :premises (@p255) :args (@t84)) % 16.08/16.50 (step @p257 :rule eq-symm :args (@t85 @t78)) % 16.08/16.50 (step @p258 :rule cong :premises (@p257) :args (@t86)) % 16.08/16.50 (step @p259 :rule eq-symm :args (@t87 tptp.sk_c11)) % 16.08/16.50 (step @p260 :rule cong :premises (@p259) :args (@t88)) % 16.08/16.50 (step @p261 :rule eq-symm :args (@t90 @t79)) % 16.08/16.50 (step @p262 :rule cong :premises (@p261) :args (@t91)) % 16.08/16.50 (step @p263 :rule eq-symm :args (@t92 tptp.sk_c11)) % 16.08/16.50 (step @p264 :rule cong :premises (@p263) :args (@t93)) % 16.08/16.50 (step @p265 :rule eq-symm :args (@t95 tptp.sk_c10)) % 16.08/16.50 (step @p266 :rule cong :premises (@p265) :args (@t96)) % 16.08/16.50 (step @p267 :rule eq-symm :args (@t97 tptp.sk_c9)) % 16.08/16.50 (step @p268 :rule cong :premises (@p267) :args (@t98)) % 16.08/16.50 (step @p269 :rule eq-symm :args (@t100 tptp.sk_c11)) % 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(step @p402 :rule process_scope :premises (@p1999) :args (@t225)) % 16.08/16.50 (step @p405 :rule implies_elim :premises (@p402)) % 16.08/16.50 (step @p406 :rule cnf_and_neg :args (@t226)) % 16.08/16.50 (step @p407 :rule resolution :premises (@p406 @p405) :args (true @t226)) % 16.08/16.50 (step @p408 :rule cnf_or_pos :args (@t229)) % 16.08/16.50 (step @p409 :rule reordering :premises (@p408) :args ((or @t228 @t227 (not @t229)))) % 16.08/16.50 (assume-push @p2000 @t155) % 16.08/16.50 (step @p411 :rule instantiate :premises (@p2000) :args (@t230)) % 16.08/16.50 (step-pop @p2001 :rule scope :premises (@p411)) % 16.08/16.50 (step @p412 :rule process_scope :premises (@p2001) :args (@t229)) % 16.08/16.50 (step @p414 :rule implies_elim :premises (@p412)) % 16.08/16.50 (step @p415 :rule chain_m_resolution :premises (@p414 @p409 @p407 @p390) :args ((or @t233 @t232 @t231 (not @t155)) (@list true false false) (@list @t229 @t225 @t223))) % 16.08/16.50 (step @p416 :rule instantiate :premises (@p57) 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(assume-push @p2013 @t252) % 16.08/16.50 (assume-push @p2014 @t256) % 16.08/16.50 (assume-push @p2015 @t258) % 16.08/16.50 (assume-push @p2016 @t260) % 16.08/16.50 (assume-push @p2017 @t262) % 16.08/16.50 (assume-push @p2018 @t264) % 16.08/16.50 (assume-push @p2019 @t269) % 16.08/16.50 (assume-push @p2020 @t272) % 16.08/16.50 (assume-push @p2021 @t274) % 16.08/16.50 (assume-push @p2022 @t276) % 16.08/16.50 (assume-push @p2023 @t279) % 16.08/16.50 (assume-push @p2024 @t283) % 16.08/16.50 (assume-push @p2025 @t240) % 16.08/16.50 (assume-push @p2026 @t208) % 16.08/16.50 (assume-push @p2027 @t206) % 16.08/16.50 (assume-push @p2028 @t258) % 16.08/16.50 (assume-push @p2029 @t242) % 16.08/16.50 (assume-push @p2030 @t245) % 16.08/16.50 (assume-push @p2031 @t248) % 16.08/16.50 (assume-push @p2032 @t256) % 16.08/16.50 (assume-push @p2033 @t262) % 16.08/16.50 (assume-push @p2034 @t236) % 16.08/16.50 (assume-push @p2035 @t260) % 16.08/16.50 (assume-push @p2036 @t222) % 16.08/16.50 (assume-push @p2037 @t264) % 16.08/16.50 (assume-push @p2038 @t123) % 16.08/16.50 (assume-push @p2039 @t269) % 16.08/16.50 (assume-push @p2040 @t252) % 16.08/16.50 (assume-push @p2041 @t283) % 16.08/16.50 (assume-push @p2042 @t221) % 16.08/16.50 (assume-push @p2043 @t279) % 16.08/16.50 (assume-push @p2044 @t276) % 16.08/16.50 (assume-push @p2045 @t274) % 16.08/16.50 (assume-push @p2046 @t272) % 16.08/16.50 (assume-push @p2047 @t238) % 16.08/16.50 (step @p477 :rule refl :args (tptp.sk_c11)) % 16.08/16.50 (step @p478 :rule symm :premises (@p63)) % 16.08/16.50 (step @p479 :rule cong :premises (@p2002 @p477) :args (@t243)) % 16.08/16.50 (step @p480 :rule symm :premises (@p2003)) % 16.08/16.50 (step @p481 :rule cong :premises (@p480 @p477) :args (@t257)) % 16.08/16.50 (step @p482 :rule symm :premises (@p421)) % 16.08/16.50 (step @p483 :rule symm :premises (@p416)) % 16.08/16.50 (step @p484 :rule refl :args (tptp.sk_c9)) % 16.08/16.50 (step @p485 :rule trans :premises (@p479 @p478)) % 16.08/16.50 (step @p486 :rule cong :premises (@p485 @p484) :args (@t244)) % 16.08/16.50 (step @p487 :rule symm :premises (@p417)) % 16.08/16.50 (step @p125 :rule refl :args (tptp.sk_c10)) % 16.08/16.50 (step @p488 :rule cong :premises (@p125 @p2003) :args (@t246)) % 16.08/16.50 (step @p489 :rule trans :premises (@p488 @p487 @p486 @p483)) % 16.08/16.50 (step @p490 :rule cong :premises (@p489 @p477) :args (@t247)) % 16.08/16.50 (step @p491 :rule symm :premises (@p418)) % 16.08/16.50 (step @p492 :rule symm :premises (@p485)) % 16.08/16.50 (step @p493 :rule cong :premises (@p125 @p492) :args (@t253)) % 16.08/16.50 (step @p494 :rule trans :premises (@p493 @p491 @p490)) % 16.08/16.50 (step @p495 :rule cong :premises (@p477 @p494) :args (@t254)) % 16.08/16.50 (step @p496 :rule trans :premises (@p420 @p495 @p482 @p481 @p479 @p478)) % 16.08/16.50 (step @p497 :rule cong :premises (@p496 @p477) :args (@t261)) % 16.08/16.50 (step @p498 :rule symm :premises (@p423)) % 16.08/16.50 (step @p499 :rule refl :args 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(@p428 @p526) :args (@t273)) % 16.08/16.50 (step @p528 :rule trans :premises (@p427 @p527 @p429 @p525)) % 16.08/16.50 (step @p529 :rule cong :premises (@p377 @p528) :args (@t42)) % 16.08/16.50 (step @p530 :rule trans :premises (@p502 @p501 @p500 @p498 @p497 @p507 @p2004 @p529 @p523 @p522 @p521 @p520)) % 16.08/16.50 (step @p531 :rule trans :premises (@p511 @p530)) % 16.08/16.50 (step @p532 :rule cong :premises (@p531 @p125) :args (@t234)) % 16.08/16.50 (step @p533 :rule symm :premises (@p514)) % 16.08/16.50 (step @p534 :rule symm :premises (@p420)) % 16.08/16.50 (step @p535 :rule symm :premises (@p495)) % 16.08/16.50 (step @p536 :rule symm :premises (@p481)) % 16.08/16.50 (step @p537 :rule symm :premises (@p479)) % 16.08/16.50 (step @p538 :rule trans :premises (@p63 @p537 @p536 @p421 @p535 @p534 @p533 @p425 @p509 @p506 @p505 @p532 @p419 @p519 @p502 @p501 @p500 @p498 @p497 @p507)) % 16.08/16.50 (step @p539 :rule cong :premises (@p2003 @p538) :args (@t253)) % 16.08/16.50 (step @p540 :rule cong :premises (@p125 @p518) :args (@t270)) % 16.08/16.50 (step @p541 :rule cong :premises (@p492 @p125) :args (@t237)) % 16.08/16.50 (step @p542 :rule trans :premises (@p59 @p541 @p426 @p540 @p539 @p421 @p535 @p534 @p533 @p425 @p509 @p506 @p505 @p532 @p419 @p519 @p502 @p501 @p500 @p498 @p497)) % 16.08/16.50 (step-pop @p2048 :rule scope :premises (@p542)) % 16.08/16.50 (step-pop @p2049 :rule scope :premises (@p2048)) % 16.08/16.50 (step-pop @p2050 :rule scope :premises (@p2049)) % 16.08/16.50 (step-pop @p2051 :rule scope :premises (@p2050)) % 16.08/16.50 (step-pop @p2052 :rule scope :premises (@p2051)) % 16.08/16.50 (step-pop @p2053 :rule scope :premises (@p2052)) % 16.08/16.50 (step-pop @p2054 :rule scope :premises (@p2053)) % 16.08/16.50 (step-pop @p2055 :rule scope :premises (@p2054)) % 16.08/16.50 (step-pop @p2056 :rule scope :premises (@p2055)) % 16.08/16.50 (step-pop @p2057 :rule scope :premises (@p2056)) % 16.08/16.50 (step-pop @p2058 :rule scope :premises (@p2057)) % 16.08/16.50 (step-pop @p2059 :rule scope :premises (@p2058)) % 16.08/16.50 (step-pop @p2060 :rule scope :premises (@p2059)) % 16.08/16.50 (step-pop @p2061 :rule scope :premises (@p2060)) % 16.08/16.50 (step-pop @p2062 :rule scope :premises (@p2061)) % 16.08/16.50 (step-pop @p2063 :rule scope :premises (@p2062)) % 16.08/16.50 (step-pop @p2064 :rule scope :premises (@p2063)) % 16.08/16.51 (step-pop @p2065 :rule scope :premises (@p2064)) % 16.08/16.51 (step-pop @p2066 :rule scope :premises (@p2065)) % 16.08/16.51 (step-pop @p2067 :rule scope :premises (@p2066)) % 16.08/16.51 (step-pop @p2068 :rule scope :premises (@p2067)) % 16.08/16.51 (step-pop @p2069 :rule scope :premises (@p2068)) % 16.08/16.51 (step-pop @p2070 :rule scope :premises (@p2069)) % 16.08/16.51 (step @p543 :rule process_scope :premises (@p2070) :args (@t286)) % 16.08/16.51 (step @p567 :rule and_intro :premises (@p63 @p2002 @p2003 @p421 @p416 @p417 @p418 @p420 @p423 @p58 @p422 @p2004 @p424 @p2006 @p425 @p419 @p430 @p2005 @p429 @p428 @p427 @p426 @p59)) % 16.08/16.51 (step @p568 :rule modus_ponens :premises (@p567 @p543)) % 16.08/16.51 (step-pop @p2071 :rule scope :premises (@p568)) % 16.08/16.51 (step-pop @p2072 :rule scope :premises (@p2071)) % 16.08/16.51 (step-pop @p2073 :rule scope :premises (@p2072)) % 16.08/16.51 (step-pop @p2074 :rule scope :premises (@p2073)) % 16.08/16.51 (step-pop @p2075 :rule scope :premises (@p2074)) % 16.08/16.51 (step-pop @p2076 :rule scope :premises (@p2075)) % 16.08/16.51 (step-pop @p2077 :rule scope :premises (@p2076)) % 16.08/16.51 (step-pop @p2078 :rule scope :premises (@p2077)) % 16.08/16.51 (step-pop @p2079 :rule scope :premises (@p2078)) % 16.08/16.51 (step-pop @p2080 :rule scope :premises (@p2079)) % 16.08/16.51 (step-pop @p2081 :rule scope :premises (@p2080)) % 16.08/16.51 (step-pop @p2082 :rule scope :premises (@p2081)) % 16.08/16.51 (step-pop @p2083 :rule scope :premises (@p2082)) % 16.08/16.51 (step-pop @p2084 :rule scope :premises (@p2083)) % 16.08/16.51 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@p58 @p917 @p1070 @p430 @p429 @p428 @p427 @p426 @p425 @p424 @p423 @p422 @p421 @p420 @p419 @p418 @p417 @p416 @p63 @p59 @p58 @p917 @p287 @p916 @p759 @p754 @p752 @p430 @p429 @p428 @p427 @p426 @p425 @p424 @p423 @p422 @p421 @p420 @p419 @p418 @p417 @p416 @p63 @p59 @p58 @p596 @p430 @p429 @p428 @p427 @p426 @p425 @p424 @p423 @p422 @p421 @p420 @p419 @p418 @p417 @p416 @p63 @p59 @p58 @p415) :args ((or @t209 @t207 @t233 @t232 @t231) (@list true 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 true true 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 @t327 @t322 @t283 @t279 @t276 @t274 @t272 @t269 @t264 @t262 @t260 @t258 @t256 @t252 @t248 @t245 @t242 @t240 @t238 @t236 @t316 @t321 @t283 @t279 @t276 @t274 @t272 @t269 @t264 @t262 @t260 @t258 @t256 @t252 @t248 @t245 @t242 @t240 @t238 @t236 @t320 @t283 @t279 @t276 @t274 @t272 @t269 @t264 @t262 @t260 @t258 @t256 @t252 @t248 @t245 @t242 @t240 @t238 @t236 @t316 @t318 @t283 @t279 @t276 @t274 @t272 @t269 @t264 @t262 @t260 @t258 @t256 @t252 @t248 @t245 @t242 @t240 @t238 @t236 @t316 @t213 @t162 @t140 @t310 @t307 @t283 @t279 @t276 @t274 @t272 @t269 @t264 @t262 @t260 @t258 @t256 @t252 @t248 @t245 @t242 @t240 @t238 @t236 @t286 @t283 @t279 @t276 @t274 @t272 @t269 @t264 @t262 @t260 @t258 @t256 @t252 @t248 @t245 @t242 @t240 @t238 @t236 @t155))) % 16.08/16.51 (step @p1535 :rule eq-symm :args (@t42 tptp.sk_c11)) % 16.08/16.51 (step @p1536 :rule nary_cong :premises (@p1535 @p73) :args (@t44)) % 16.08/16.51 (step @p1537 :rule eq_resolve :premises (@p24 @p1536)) % 16.08/16.51 (step @p1538 :rule reordering :premises (@p1537) :args ((or @t124 @t222))) % 16.08/16.51 (step @p1539 :rule nary_cong :premises (@p1535 @p78) :args (@t45)) % 16.08/16.51 (step @p1540 :rule eq_resolve :premises (@p25 @p1539)) % 16.08/16.51 (step @p1541 :rule reordering :premises (@p1540) :args ((or @t125 @t222))) % 16.08/16.51 (step @p1542 :rule nary_cong :premises (@p1535 @p82) :args (@t46)) % 16.08/16.51 (step @p1543 :rule eq_resolve :premises (@p26 @p1542)) % 16.08/16.51 (step @p1544 :rule reordering :premises (@p1543) :args ((or @t126 @t222))) % 16.08/16.51 (step @p1545 :rule nary_cong :premises (@p1535 @p86) :args (@t47)) % 16.08/16.51 (step @p1546 :rule eq_resolve :premises (@p27 @p1545)) % 16.08/16.51 (step @p1547 :rule reordering :premises (@p1546) :args ((or @t127 @t222))) % 16.08/16.51 (step @p1548 :rule nary_cong :premises 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chain_m_resolution :premises (@p1812 @p1804) :args (@t127 @t357 @t358)) % 16.08/16.51 (step @p1814 :rule nary_cong :premises (@p281 @p90) :args (@t24)) % 16.08/16.51 (step @p1815 :rule eq_resolve :premises (@p8 @p1814)) % 16.08/16.51 (step @p1816 :rule chain_m_resolution :premises (@p1815 @p1804) :args (@t128 @t357 @t358)) % 16.08/16.51 (step @p1817 :rule nary_cong :premises (@p281 @p94) :args (@t27)) % 16.08/16.51 (step @p1818 :rule eq_resolve :premises (@p9 @p1817)) % 16.08/16.51 (step @p1819 :rule chain_m_resolution :premises (@p1818 @p1804) :args (@t129 @t357 @t358)) % 16.08/16.51 (step @p1820 :rule instantiate :premises (@p3) :args ((@list @t11 tptp.sk_c11 tptp.sk_c10))) % 16.08/16.51 (step @p1821 :rule instantiate :premises (@p3) :args ((@list @t359 tptp.sk_c8 tptp.sk_c11))) % 16.08/16.51 (assume-push @p2772 @t124) % 16.08/16.51 (assume-push @p2773 @t125) % 16.08/16.51 (assume-push @p2774 @t127) % 16.08/16.51 (assume-push @p2775 @t128) % 16.08/16.51 (assume-push @p2776 @t129) % 16.08/16.51 (assume-push @p2777 @t236) % 16.08/16.51 (assume-push @p2778 @t238) % 16.08/16.51 (assume-push @p2779 @t240) % 16.08/16.51 (assume-push @p2780 @t348) % 16.08/16.51 (assume-push @p2781 @t345) % 16.08/16.51 (assume-push @p2782 @t343) % 16.08/16.51 (assume-push @p2783 @t340) % 16.08/16.51 (assume-push @p2784 @t361) % 16.08/16.51 (assume-push @p2785 @t363) % 16.08/16.51 (assume-push @p2786 @t365) % 16.08/16.51 (assume-push @p2787 @t336) % 16.08/16.51 (assume-push @p2788 @t367) % 16.08/16.51 (assume-push @p2789 @t369) % 16.08/16.51 (assume-push @p2790 @t371) % 16.08/16.51 (assume-push @p2791 @t236) % 16.08/16.51 (assume-push @p2792 @t345) % 16.08/16.51 (assume-push @p2793 @t336) % 16.08/16.51 (assume-push @p2794 @t125) % 16.08/16.51 (assume-push @p2795 @t124) % 16.08/16.51 (assume-push @p2796 @t340) % 16.08/16.51 (assume-push @p2797 @t365) % 16.08/16.51 (assume-push @p2798 @t371) % 16.08/16.51 (assume-push @p2799 @t129) % 16.08/16.51 (assume-push @p2800 @t128) % 16.08/16.51 (assume-push @p2801 @t367) % 16.08/16.51 (assume-push @p2802 @t363) % 16.08/16.51 (assume-push @p2803 @t361) % 16.08/16.51 (assume-push @p2804 @t343) % 16.08/16.51 (assume-push @p2805 @t127) % 16.08/16.51 (assume-push @p2806 @t238) % 16.08/16.51 (assume-push @p2807 @t240) % 16.08/16.51 (assume-push @p2808 @t369) % 16.08/16.51 (assume-push @p2809 @t348) % 16.08/16.51 (step @p507 :rule symm :premises (@p58)) % 16.08/16.51 (step @p477 :rule refl :args (tptp.sk_c11)) % 16.08/16.51 (step @p1648 :rule symm :premises (@p65)) % 16.08/16.51 (step @p1649 :rule cong :premises (@p1648 @p477) :args (@t335)) % 16.08/16.51 (step @p1650 :rule symm :premises (@p71)) % 16.08/16.51 (step @p1860 :rule cong :premises (@p2773 @p2772) :args (@t234)) % 16.08/16.51 (step @p125 :rule refl :args (tptp.sk_c10)) % 16.08/16.51 (step @p1654 :rule cong :premises (@p507 @p125) :args (@t339)) % 16.08/16.51 (step @p1655 :rule symm :premises (@p67)) % 16.08/16.51 (step @p1861 :rule symm :premises (@p1860)) % 16.08/16.51 (step @p1748 :rule symm :premises (@p1649)) % 16.08/16.51 (step @p1862 :rule trans :premises (@p58 @p1748 @p71 @p1861)) % 16.08/16.51 (step @p1863 :rule symm :premises (@p70)) % 16.08/16.51 (step @p1864 :rule cong :premises (@p1863 @p1862) :args (@t370)) % 16.08/16.51 (step @p1865 :rule symm :premises (@p1821)) % 16.08/16.51 (step @p1866 :rule symm :premises (@p2776)) % 16.08/16.51 (step @p1867 :rule cong :premises (@p1866 @p477) :args ((tptp.multiply @t25 tptp.sk_c11))) % 16.08/16.51 (step @p1868 :rule symm :premises (@p2775)) % 16.08/16.51 (step @p1869 :rule refl :args (@t25)) % 16.08/16.51 (step @p1870 :rule cong :premises (@p1869 @p1868) :args (@t366)) % 16.08/16.51 (step @p1871 :rule refl :args (tptp.sk_c8)) % 16.08/16.51 (step @p1872 :rule cong :premises (@p69 @p1871) :args (@t360)) % 16.08/16.51 (step @p1873 :rule trans :premises (@p68 @p1872 @p72 @p1870 @p1867)) % 16.08/16.51 (step @p1874 :rule refl :args (@t359)) % 16.08/16.51 (step @p1875 :rule cong :premises (@p1874 @p1873) :args (@t364)) % 16.08/16.51 (step @p1876 :rule trans :premises (@p70 @p1875 @p1865 @p1864 @p1655 @p1654 @p1860 @p1650 @p1649 @p507)) % 16.08/16.51 (step @p1877 :rule cong :premises (@p1876) :args (@t306)) % 16.08/16.51 (step @p1878 :rule symm :premises (@p66)) % 16.08/16.51 (step @p1672 :rule refl :args (tptp.sk_c4)) % 16.08/16.51 (step @p694 :rule symm :premises (@p59)) % 16.08/16.51 (step @p478 :rule symm :premises (@p63)) % 16.08/16.51 (step @p1879 :rule cong :premises (@p478 @p125) :args (@t368)) % 16.08/16.51 (step @p1880 :rule symm :premises (@p1820)) % 16.08/16.51 (step @p1881 :rule refl :args (@t11)) % 16.08/16.51 (step @p1882 :rule cong :premises (@p1881 @p1862) :args (@t239)) % 16.08/16.51 (step @p1883 :rule trans :premises (@p63 @p1882 @p1880 @p1879 @p694)) % 16.08/16.51 (step @p1884 :rule trans :premises (@p1883 @p2774)) % 16.08/16.51 (step @p1885 :rule cong :premises (@p1884 @p1672) :args (@t347)) % 16.08/16.51 (step @p1886 :rule trans :premises (@p64 @p1885 @p1878)) % 16.08/16.51 (step @p1887 :rule cong :premises (@p1886) :args (@t19)) % 16.08/16.51 (step @p1888 :rule trans :premises (@p2774 @p1887 @p1877)) % 16.08/16.51 (step-pop @p2810 :rule scope :premises (@p1888)) % 16.08/16.51 (step-pop @p2811 :rule scope :premises (@p2810)) % 16.08/16.51 (step-pop @p2812 :rule scope :premises (@p2811)) % 16.08/16.51 (step-pop @p2813 :rule scope :premises (@p2812)) % 16.08/16.51 (step-pop @p2814 :rule scope :premises (@p2813)) % 16.08/16.51 (step-pop @p2815 :rule scope :premises (@p2814)) % 16.08/16.51 (step-pop @p2816 :rule scope :premises (@p2815)) % 16.08/16.51 (step-pop @p2817 :rule scope :premises (@p2816)) % 16.08/16.51 (step-pop @p2818 :rule scope :premises (@p2817)) % 16.08/16.51 (step-pop @p2819 :rule scope :premises (@p2818)) % 16.08/16.51 (step-pop @p2820 :rule scope :premises (@p2819)) % 16.08/16.51 (step-pop @p2821 :rule scope :premises (@p2820)) % 16.08/16.51 (step-pop @p2822 :rule scope :premises (@p2821)) % 16.08/16.51 (step-pop @p2823 :rule scope :premises (@p2822)) % 16.08/16.51 (step-pop @p2824 :rule scope :premises (@p2823)) % 16.08/16.51 (step-pop @p2825 :rule scope :premises (@p2824)) % 16.08/16.51 (step-pop @p2826 :rule scope :premises (@p2825)) % 16.08/16.51 (step-pop @p2827 :rule scope :premises (@p2826)) % 16.08/16.51 (step-pop @p2828 :rule scope :premises (@p2827)) % 16.08/16.51 (step @p1889 :rule process_scope :premises (@p2828) :args (@t208)) % 16.08/16.51 (step @p1909 :rule and_intro :premises (@p58 @p65 @p71 @p2773 @p2772 @p67 @p70 @p1821 @p2776 @p2775 @p72 @p69 @p68 @p66 @p2774 @p59 @p63 @p1820 @p64)) % 16.08/16.51 (step @p1910 :rule modus_ponens :premises (@p1909 @p1889)) % 16.08/16.51 (step-pop @p2829 :rule scope :premises (@p1910)) % 16.08/16.51 (step-pop @p2830 :rule scope :premises (@p2829)) % 16.08/16.51 (step-pop @p2831 :rule scope :premises (@p2830)) % 16.08/16.51 (step-pop @p2832 :rule scope :premises (@p2831)) % 16.08/16.51 (step-pop @p2833 :rule scope :premises (@p2832)) % 16.08/16.51 (step-pop @p2834 :rule scope :premises (@p2833)) % 16.08/16.51 (step-pop @p2835 :rule scope :premises (@p2834)) % 16.08/16.51 (step-pop @p2836 :rule scope :premises (@p2835)) % 16.08/16.51 (step-pop @p2837 :rule scope :premises (@p2836)) % 16.08/16.51 (step-pop @p2838 :rule scope :premises (@p2837)) % 16.08/16.51 (step-pop @p2839 :rule scope :premises (@p2838)) % 16.08/16.51 (step-pop @p2840 :rule scope :premises (@p2839)) % 16.08/16.51 (step-pop @p2841 :rule scope :premises (@p2840)) % 16.08/16.51 (step-pop @p2842 :rule scope :premises (@p2841)) % 16.08/16.51 (step-pop @p2843 :rule scope :premises (@p2842)) % 16.08/16.51 (step-pop @p2844 :rule scope :premises (@p2843)) % 16.08/16.51 (step-pop @p2845 :rule scope :premises (@p2844)) % 16.08/16.51 (step-pop @p2846 :rule scope :premises (@p2845)) % 16.08/16.51 (step-pop @p2847 :rule scope :premises (@p2846)) % 16.08/16.51 (step @p1911 :rule process_scope :premises (@p2847) :args (@t208)) % 16.08/16.51 (step @p1931 :rule implies_elim :premises (@p1911)) % 16.08/16.51 (step @p1932 :rule cnf_and_neg :args (@t372)) % 16.08/16.51 (step @p1933 :rule resolution :premises (@p1932 @p1931) :args (true @t372)) % 16.08/16.51 (step @p1934 :rule reordering :premises (@p1933) :args ((or @t208 @t135 @t134 @t156 @t150 @t149 @t305 @t304 @t303 @t349 @t346 @t344 @t341 (not @t361) (not @t363) (not @t365) @t337 (not @t367) (not @t369) (not @t371)))) % 16.08/16.51 (step @p1935 false :rule chain_m_resolution :premises (@p1934 @p1821 @p1820 @p1819 @p1816 @p1813 @p1810 @p1807 @p1804 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p59 @p58) :args (false (@list false false false false false false false true false false false false false false false false false false false false) (@list @t371 @t369 @t129 @t128 @t127 @t125 @t124 @t208 @t367 @t336 @t365 @t363 @t361 @t340 @t343 @t345 @t348 @t240 @t238 @t236))) % 16.08/16.51 ) % 16.08/16.51 % SZS output end Proof % 16.08/16.51 % cvc5 exiting %------------------------------------------------------------------------------