%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP266-1 : 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 : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:20:21 AM UTC 2026 % Result : Unsatisfiable 1.62s 1.81s % Output : Proof 1.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP266-1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 01:01:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.62/1.81 % SZS status Unsatisfiable % 1.62/1.81 % SZS output start Proof % 1.62/1.84 ( % 1.62/1.84 (declare-sort $$unsorted 0) % 1.62/1.84 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 1.62/1.84 (declare-const tptp.identity $$unsorted) % 1.62/1.84 (declare-const tptp.sk_c6 $$unsorted) % 1.62/1.84 (declare-const tptp.sk_c10 $$unsorted) % 1.62/1.84 (declare-const tptp.sk_c3 $$unsorted) % 1.62/1.84 (declare-const tptp.sk_c2 $$unsorted) % 1.62/1.84 (declare-const tptp.sk_c5 $$unsorted) % 1.62/1.84 (declare-const tptp.sk_c1 $$unsorted) % 1.62/1.84 (declare-const tptp.sk_c9 $$unsorted) % 1.62/1.84 (declare-const tptp.sk_c8 $$unsorted) % 1.62/1.84 (declare-const tptp.sk_c11 $$unsorted) % 1.62/1.84 (declare-const tptp.sk_c4 $$unsorted) % 1.62/1.84 (declare-const tptp.sk_c7 $$unsorted) % 1.62/1.84 (define @t1 () (@var "X" $$unsorted)) % 1.62/1.84 (define @t2 () (tptp.multiply tptp.identity @t1)) % 1.62/1.84 (define @t3 () (@list @t1)) % 1.62/1.84 (define @t4 () (forall @t3 (= @t2 @t1))) % 1.62/1.84 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 1.62/1.84 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 1.62/1.84 (define @t7 () (@var "Z" $$unsorted)) % 1.62/1.84 (define @t8 () (@var "Y" $$unsorted)) % 1.62/1.84 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 1.62/1.84 (define @t10 () (tptp.multiply tptp.sk_c5 tptp.sk_c11)) % 1.62/1.84 (define @t11 () (= @t10 tptp.sk_c10)) % 1.62/1.84 (define @t12 () (tptp.multiply tptp.sk_c1 tptp.sk_c11)) % 1.62/1.84 (define @t13 () (= @t12 tptp.sk_c10)) % 1.62/1.84 (define @t14 () (or @t13 @t11)) % 1.62/1.84 (define @t15 () (tptp.inverse tptp.sk_c5)) % 1.62/1.84 (define @t16 () (= @t15 tptp.sk_c11)) % 1.62/1.84 (define @t17 () (or @t13 @t16)) % 1.62/1.84 (define @t18 () (tptp.multiply tptp.sk_c6 tptp.sk_c9)) % 1.62/1.84 (define @t19 () (= @t18 tptp.sk_c10)) % 1.62/1.84 (define @t20 () (tptp.inverse tptp.sk_c6)) % 1.62/1.84 (define @t21 () (= @t20 tptp.sk_c9)) % 1.62/1.84 (define @t22 () (tptp.multiply tptp.sk_c9 tptp.sk_c8)) % 1.62/1.84 (define @t23 () (= @t22 tptp.sk_c10)) % 1.62/1.84 (define @t24 () (tptp.multiply tptp.sk_c7 tptp.sk_c9)) % 1.62/1.84 (define @t25 () (= @t24 tptp.sk_c8)) % 1.62/1.84 (define @t26 () (tptp.inverse tptp.sk_c7)) % 1.62/1.84 (define @t27 () (= @t26 tptp.sk_c9)) % 1.62/1.84 (define @t28 () (tptp.inverse tptp.sk_c1)) % 1.62/1.84 (define @t29 () (= @t28 tptp.sk_c11)) % 1.62/1.84 (define @t30 () (or @t29 @t11)) % 1.62/1.84 (define @t31 () (or @t29 @t16)) % 1.62/1.84 (define @t32 () (or @t29 @t19)) % 1.62/1.84 (define @t33 () (or @t29 @t21)) % 1.62/1.84 (define @t34 () (tptp.multiply tptp.sk_c2 tptp.sk_c9)) % 1.62/1.84 (define @t35 () (= @t34 tptp.sk_c10)) % 1.62/1.84 (define @t36 () (or @t35 @t19)) % 1.62/1.84 (define @t37 () (or @t35 @t21)) % 1.62/1.84 (define @t38 () (tptp.inverse tptp.sk_c2)) % 1.62/1.84 (define @t39 () (= @t38 tptp.sk_c9)) % 1.62/1.84 (define @t40 () (or @t39 @t11)) % 1.62/1.84 (define @t41 () (or @t39 @t16)) % 1.62/1.84 (define @t42 () (or @t39 @t19)) % 1.62/1.84 (define @t43 () (or @t39 @t21)) % 1.62/1.84 (define @t44 () (or @t39 @t23)) % 1.62/1.84 (define @t45 () (or @t39 @t25)) % 1.62/1.84 (define @t46 () (or @t39 @t27)) % 1.62/1.84 (define @t47 () (tptp.multiply tptp.sk_c10 tptp.sk_c4)) % 1.62/1.84 (define @t48 () (= @t47 tptp.sk_c9)) % 1.62/1.84 (define @t49 () (or @t48 @t19)) % 1.62/1.84 (define @t50 () (or @t48 @t23)) % 1.62/1.84 (define @t51 () (or @t48 @t25)) % 1.62/1.84 (define @t52 () (or @t48 @t27)) % 1.62/1.84 (define @t53 () (tptp.multiply tptp.sk_c3 tptp.sk_c10)) % 1.62/1.84 (define @t54 () (= @t53 tptp.sk_c4)) % 1.62/1.84 (define @t55 () (or @t54 @t19)) % 1.62/1.84 (define @t56 () (or @t54 @t23)) % 1.62/1.84 (define @t57 () (or @t54 @t25)) % 1.62/1.84 (define @t58 () (or @t54 @t27)) % 1.62/1.84 (define @t59 () (tptp.inverse tptp.sk_c3)) % 1.62/1.84 (define @t60 () (= @t59 tptp.sk_c10)) % 1.62/1.84 (define @t61 () (or @t60 @t19)) % 1.62/1.84 (define @t62 () (or @t60 @t21)) % 1.62/1.84 (define @t63 () (or @t60 @t23)) % 1.62/1.84 (define @t64 () (or @t60 @t25)) % 1.62/1.84 (define @t65 () (or @t60 @t27)) % 1.62/1.84 (define @t66 () (@var "X4" $$unsorted)) % 1.62/1.84 (define @t67 () (tptp.inverse @t66)) % 1.62/1.84 (define @t68 () (not (= @t67 tptp.sk_c9))) % 1.62/1.84 (define @t69 () (@var "X3" $$unsorted)) % 1.62/1.84 (define @t70 () (tptp.multiply @t66 tptp.sk_c9)) % 1.62/1.84 (define @t71 () (not (= @t70 @t69))) % 1.62/1.84 (define @t72 () (tptp.multiply tptp.sk_c9 @t69)) % 1.62/1.84 (define @t73 () (not (= @t72 tptp.sk_c10))) % 1.62/1.84 (define @t74 () (@var "X2" $$unsorted)) % 1.62/1.84 (define @t75 () (tptp.inverse @t74)) % 1.62/1.84 (define @t76 () (not (= @t75 tptp.sk_c9))) % 1.62/1.84 (define @t77 () (tptp.multiply @t74 tptp.sk_c9)) % 1.62/1.84 (define @t78 () (not (= @t77 tptp.sk_c10))) % 1.62/1.84 (define @t79 () (@var "X1" $$unsorted)) % 1.62/1.84 (define @t80 () (tptp.inverse @t79)) % 1.62/1.84 (define @t81 () (not (= @t80 tptp.sk_c11))) % 1.62/1.84 (define @t82 () (tptp.multiply @t79 tptp.sk_c11)) % 1.62/1.84 (define @t83 () (not (= @t82 tptp.sk_c10))) % 1.62/1.84 (define @t84 () (@var "X8" $$unsorted)) % 1.62/1.84 (define @t85 () (tptp.inverse @t84)) % 1.62/1.84 (define @t86 () (not (= @t85 tptp.sk_c10))) % 1.62/1.84 (define @t87 () (@var "X7" $$unsorted)) % 1.62/1.84 (define @t88 () (tptp.multiply @t84 tptp.sk_c10)) % 1.62/1.84 (define @t89 () (not (= @t88 @t87))) % 1.62/1.84 (define @t90 () (tptp.multiply tptp.sk_c10 @t87)) % 1.62/1.84 (define @t91 () (not (= @t90 tptp.sk_c9))) % 1.62/1.84 (define @t92 () (@var "X6" $$unsorted)) % 1.62/1.84 (define @t93 () (tptp.inverse @t92)) % 1.62/1.84 (define @t94 () (not (= @t93 tptp.sk_c9))) % 1.62/1.84 (define @t95 () (tptp.multiply @t92 tptp.sk_c9)) % 1.62/1.84 (define @t96 () (not (= @t95 tptp.sk_c10))) % 1.62/1.84 (define @t97 () (@var "X5" $$unsorted)) % 1.62/1.84 (define @t98 () (tptp.inverse @t97)) % 1.62/1.84 (define @t99 () (not (= @t98 tptp.sk_c11))) % 1.62/1.84 (define @t100 () (tptp.multiply @t97 tptp.sk_c11)) % 1.62/1.84 (define @t101 () (not (= @t100 tptp.sk_c10))) % 1.62/1.84 (define @t102 () (or @t101 @t99 @t96 @t94 @t91 @t89 @t86 @t83 @t81 @t78 @t76 @t73 @t71 @t68)) % 1.62/1.84 (define @t103 () (@list @t97 @t92 @t87 @t84 @t79 @t74 @t69 @t66)) % 1.62/1.84 (define @t104 () (forall @t103 @t102)) % 1.62/1.84 (define @t105 () (not (= tptp.sk_c9 @t93))) % 1.62/1.84 (define @t106 () (not (= tptp.sk_c10 @t95))) % 1.62/1.84 (define @t107 () (or @t106 @t105)) % 1.62/1.84 (define @t108 () (forall (@list @t92) @t107)) % 1.62/1.84 (define @t109 () (@list tptp.sk_c6)) % 1.62/1.84 (define @t110 () (= tptp.sk_c9 @t20)) % 1.62/1.84 (define @t111 () (not @t110)) % 1.62/1.84 (define @t112 () (= tptp.sk_c10 @t18)) % 1.62/1.84 (define @t113 () (not @t112)) % 1.62/1.84 (define @t114 () (or @t113 @t111)) % 1.62/1.84 (define @t115 () (@list tptp.sk_c2)) % 1.62/1.84 (define @t116 () (= tptp.sk_c9 @t38)) % 1.62/1.84 (define @t117 () (not @t116)) % 1.62/1.84 (define @t118 () (= tptp.sk_c10 @t34)) % 1.62/1.84 (define @t119 () (not @t118)) % 1.62/1.84 (define @t120 () (or @t119 @t117)) % 1.62/1.84 (define @t121 () (not @t114)) % 1.62/1.84 (define @t122 () (@list false false)) % 1.62/1.84 (define @t123 () (not @t108)) % 1.62/1.84 (define @t124 () (@list false false true false false false)) % 1.62/1.84 (define @t125 () (@quantifiers_skolemize @t108 0)) % 1.62/1.84 (define @t126 () (tptp.inverse @t125)) % 1.62/1.84 (define @t127 () (= tptp.sk_c9 @t126)) % 1.62/1.84 (define @t128 () (not @t127)) % 1.62/1.84 (define @t129 () (tptp.multiply @t125 tptp.sk_c9)) % 1.62/1.84 (define @t130 () (= tptp.sk_c10 @t129)) % 1.62/1.84 (define @t131 () (not @t130)) % 1.62/1.84 (define @t132 () (or @t131 @t128)) % 1.62/1.84 (define @t133 () (not @t132)) % 1.62/1.84 (define @t134 () (@list true)) % 1.62/1.84 (define @t135 () (@list @t108)) % 1.62/1.84 (define @t136 () (@list @t132)) % 1.62/1.84 (define @t137 () (not (= tptp.sk_c11 @t98))) % 1.62/1.84 (define @t138 () (not (= tptp.sk_c10 @t100))) % 1.62/1.84 (define @t139 () (or @t138 @t137)) % 1.62/1.84 (define @t140 () (forall (@list @t97) @t139)) % 1.62/1.84 (define @t141 () (= tptp.sk_c11 @t15)) % 1.62/1.84 (define @t142 () (not @t141)) % 1.62/1.84 (define @t143 () (= tptp.sk_c10 @t10)) % 1.62/1.84 (define @t144 () (not @t143)) % 1.62/1.84 (define @t145 () (or @t144 @t142)) % 1.62/1.84 (define @t146 () (@list tptp.sk_c1)) % 1.62/1.84 (define @t147 () (= tptp.sk_c11 @t28)) % 1.62/1.84 (define @t148 () (not @t147)) % 1.62/1.84 (define @t149 () (= tptp.sk_c10 @t12)) % 1.62/1.84 (define @t150 () (not @t149)) % 1.62/1.84 (define @t151 () (or @t150 @t148)) % 1.62/1.84 (define @t152 () (not @t151)) % 1.62/1.84 (define @t153 () (not @t145)) % 1.62/1.84 (define @t154 () (not @t140)) % 1.62/1.84 (define @t155 () (not (= tptp.sk_c11 @t80))) % 1.62/1.84 (define @t156 () (not (= tptp.sk_c10 @t82))) % 1.62/1.84 (define @t157 () (or @t156 @t155)) % 1.62/1.84 (define @t158 () (forall (@list @t79) @t157)) % 1.62/1.84 (define @t159 () (@list @t140)) % 1.62/1.84 (define @t160 () (@quantifiers_skolemize @t140 0)) % 1.62/1.84 (define @t161 () (tptp.inverse @t160)) % 1.62/1.84 (define @t162 () (= tptp.sk_c11 @t161)) % 1.62/1.84 (define @t163 () (not @t162)) % 1.62/1.84 (define @t164 () (tptp.multiply @t160 tptp.sk_c11)) % 1.62/1.84 (define @t165 () (= tptp.sk_c10 @t164)) % 1.62/1.84 (define @t166 () (not @t165)) % 1.62/1.84 (define @t167 () (or @t166 @t163)) % 1.62/1.84 (define @t168 () (not @t167)) % 1.62/1.84 (define @t169 () (not (= tptp.sk_c9 @t67))) % 1.62/1.84 (define @t170 () (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c9 @t70)))) % 1.62/1.84 (define @t171 () (or @t170 @t169)) % 1.62/1.84 (define @t172 () (@list @t66)) % 1.62/1.84 (define @t173 () (forall @t172 @t171)) % 1.62/1.84 (define @t174 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c9 @t18))) % 1.62/1.84 (define @t175 () (not @t174)) % 1.62/1.84 (define @t176 () (or @t175 @t111)) % 1.62/1.84 (define @t177 () (@list tptp.sk_c7)) % 1.62/1.84 (define @t178 () (= tptp.sk_c9 @t26)) % 1.62/1.84 (define @t179 () (not @t178)) % 1.62/1.84 (define @t180 () (tptp.multiply tptp.sk_c9 @t24)) % 1.62/1.84 (define @t181 () (= tptp.sk_c10 @t180)) % 1.62/1.84 (define @t182 () (not @t181)) % 1.62/1.84 (define @t183 () (or @t182 @t179)) % 1.62/1.84 (define @t184 () (= tptp.sk_c9 @t47)) % 1.62/1.84 (define @t185 () (= tptp.sk_c4 @t53)) % 1.62/1.84 (define @t186 () (= tptp.sk_c10 @t59)) % 1.62/1.84 (define @t187 () (not @t186)) % 1.62/1.84 (define @t188 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 @t53))) % 1.62/1.84 (define @t189 () (not @t188)) % 1.62/1.84 (define @t190 () (or @t189 @t187)) % 1.62/1.84 (define @t191 () (not @t190)) % 1.62/1.84 (define @t192 () (and @t184 @t185 @t130)) % 1.62/1.84 (define @t193 () (not @t183)) % 1.62/1.84 (define @t194 () (= tptp.sk_c10 @t22)) % 1.62/1.84 (define @t195 () (= tptp.sk_c8 @t24)) % 1.62/1.84 (define @t196 () (tptp.multiply tptp.sk_c9 tptp.sk_c7)) % 1.62/1.84 (define @t197 () (tptp.multiply @t196 tptp.sk_c9)) % 1.62/1.84 (define @t198 () (= @t197 @t180)) % 1.62/1.84 (define @t199 () (= tptp.sk_c10 @t197)) % 1.62/1.84 (define @t200 () (and @t194 @t195 @t198)) % 1.62/1.84 (define @t201 () (@list false false false)) % 1.62/1.84 (define @t202 () (not (= tptp.sk_c10 @t85))) % 1.62/1.84 (define @t203 () (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 @t88)))) % 1.62/1.84 (define @t204 () (or @t203 @t202)) % 1.62/1.84 (define @t205 () (@list @t84)) % 1.62/1.84 (define @t206 () (forall @t205 @t204)) % 1.62/1.84 (define @t207 () (@quantifiers_skolemize @t206 0)) % 1.62/1.84 (define @t208 () (tptp.inverse @t207)) % 1.62/1.84 (define @t209 () (= tptp.sk_c10 @t208)) % 1.62/1.84 (define @t210 () (not @t209)) % 1.62/1.84 (define @t211 () (tptp.multiply tptp.sk_c10 (tptp.multiply @t207 tptp.sk_c10))) % 1.62/1.84 (define @t212 () (= tptp.sk_c9 @t211)) % 1.62/1.84 (define @t213 () (not @t212)) % 1.62/1.84 (define @t214 () (or @t213 @t210)) % 1.62/1.84 (define @t215 () (not @t214)) % 1.62/1.84 (define @t216 () (not @t206)) % 1.62/1.84 (define @t217 () (@list @t125)) % 1.62/1.84 (define @t218 () (@list @t160)) % 1.62/1.84 (define @t219 () (@list @t207)) % 1.62/1.84 (define @t220 () (tptp.multiply @t160 @t160)) % 1.62/1.84 (define @t221 () (tptp.multiply tptp.sk_c10 @t207)) % 1.62/1.84 (define @t222 () (tptp.multiply @t221 tptp.sk_c10)) % 1.62/1.84 (define @t223 () (= @t222 @t211)) % 1.62/1.84 (define @t224 () (@list tptp.sk_c10 @t207 tptp.sk_c10)) % 1.62/1.84 (define @t225 () (= @t211 @t222)) % 1.62/1.84 (define @t226 () (@list false)) % 1.62/1.84 (define @t227 () (@list @t9)) % 1.62/1.84 (define @t228 () (tptp.multiply @t161 @t160)) % 1.62/1.84 (define @t229 () (tptp.multiply @t228 @t160)) % 1.62/1.84 (define @t230 () (tptp.multiply @t161 @t220)) % 1.62/1.84 (define @t231 () (= @t229 @t230)) % 1.62/1.84 (define @t232 () (@list @t161 @t160 @t160)) % 1.62/1.84 (define @t233 () (= @t230 @t229)) % 1.62/1.84 (define @t234 () (tptp.multiply tptp.sk_c11 @t160)) % 1.62/1.84 (define @t235 () (tptp.multiply @t234 tptp.sk_c10)) % 1.62/1.84 (define @t236 () (tptp.multiply @t160 tptp.sk_c10)) % 1.62/1.84 (define @t237 () (tptp.multiply tptp.sk_c11 @t236)) % 1.62/1.84 (define @t238 () (= @t235 @t237)) % 1.62/1.84 (define @t239 () (@list tptp.sk_c11 @t160 tptp.sk_c10)) % 1.62/1.84 (define @t240 () (= @t237 @t235)) % 1.62/1.84 (define @t241 () (tptp.multiply @t26 tptp.sk_c7)) % 1.62/1.84 (define @t242 () (= tptp.identity @t241)) % 1.62/1.84 (define @t243 () (= tptp.identity @t228)) % 1.62/1.84 (define @t244 () (tptp.multiply tptp.identity tptp.sk_c9)) % 1.62/1.84 (define @t245 () (= tptp.sk_c9 @t244)) % 1.62/1.84 (define @t246 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c7 tptp.sk_c10)))) % 1.62/1.84 (define @t247 () (and @t194 @t195 @t178 @t242 @t243 @t198 @t245)) % 1.62/1.84 (define @t248 () (not @t245)) % 1.62/1.84 (define @t249 () (not @t198)) % 1.62/1.84 (define @t250 () (not @t243)) % 1.62/1.84 (define @t251 () (not @t242)) % 1.62/1.84 (define @t252 () (not @t195)) % 1.62/1.84 (define @t253 () (not @t194)) % 1.62/1.84 (define @t254 () (= tptp.sk_c10 @t20)) % 1.62/1.84 (define @t255 () (= tptp.sk_c10 @t26)) % 1.62/1.84 (define @t256 () (and @t110 @t194 @t195 @t178 @t242 @t243 @t198 @t245)) % 1.62/1.84 (define @t257 () (not @t255)) % 1.62/1.84 (define @t258 () (not @t246)) % 1.62/1.84 (define @t259 () (or @t258 @t257)) % 1.62/1.84 (define @t260 () (not (= @t70 @t70))) % 1.62/1.84 (define @t261 () (or @t170 @t260 @t169)) % 1.62/1.84 (define @t262 () (not (= @t69 @t70))) % 1.62/1.84 (define @t263 () (not (= tptp.sk_c10 @t72))) % 1.62/1.84 (define @t264 () (or @t262 @t263 @t262 @t169)) % 1.62/1.84 (define @t265 () (@list @t69)) % 1.62/1.84 (define @t266 () (or @t263 @t262 @t169)) % 1.62/1.84 (define @t267 () (forall @t265 @t266)) % 1.62/1.84 (define @t268 () (forall @t172 @t267)) % 1.62/1.84 (define @t269 () (forall (@list @t66 @t69) @t266)) % 1.62/1.84 (define @t270 () (forall (@list @t69 @t66) @t266)) % 1.62/1.84 (define @t271 () (not (= tptp.sk_c9 @t75))) % 1.62/1.84 (define @t272 () (not (= tptp.sk_c10 @t77))) % 1.62/1.84 (define @t273 () (or @t272 @t271)) % 1.62/1.84 (define @t274 () (forall (@list @t74) @t273)) % 1.62/1.84 (define @t275 () (not (= @t88 @t88))) % 1.62/1.84 (define @t276 () (or @t203 @t275 @t202)) % 1.62/1.84 (define @t277 () (not (= @t87 @t88))) % 1.62/1.84 (define @t278 () (not (= tptp.sk_c9 @t90))) % 1.62/1.84 (define @t279 () (or @t277 @t278 @t277 @t202)) % 1.62/1.84 (define @t280 () (@list @t87)) % 1.62/1.84 (define @t281 () (or @t278 @t277 @t202)) % 1.62/1.84 (define @t282 () (forall @t280 @t281)) % 1.62/1.84 (define @t283 () (forall @t205 @t282)) % 1.62/1.84 (define @t284 () (forall (@list @t84 @t87) @t281)) % 1.62/1.84 (define @t285 () (forall (@list @t87 @t84) @t281)) % 1.62/1.84 (define @t286 () (or @t140 @t108 @t285 @t158 @t274 @t270)) % 1.62/1.84 (define @t287 () (or @t139 @t107 @t281 @t157 @t273 @t266)) % 1.62/1.84 (define @t288 () (or @t138 @t137 @t106 @t105 @t278 @t277 @t202 @t156 @t155 @t272 @t271 @t263 @t262 @t169)) % 1.62/1.84 (define @t289 () (not @t240)) % 1.62/1.84 (define @t290 () (not @t233)) % 1.62/1.84 (define @t291 () (tptp.multiply tptp.identity @t160)) % 1.62/1.84 (define @t292 () (= @t160 @t291)) % 1.62/1.84 (define @t293 () (not @t292)) % 1.62/1.84 (define @t294 () (not @t225)) % 1.62/1.84 (define @t295 () (tptp.multiply @t220 tptp.sk_c11)) % 1.62/1.84 (define @t296 () (tptp.multiply @t230 tptp.sk_c11)) % 1.62/1.84 (define @t297 () (= @t296 (tptp.multiply @t161 @t295))) % 1.62/1.84 (define @t298 () (not @t297)) % 1.62/1.84 (define @t299 () (tptp.multiply @t126 @t129)) % 1.62/1.84 (define @t300 () (tptp.multiply @t126 @t125)) % 1.62/1.84 (define @t301 () (tptp.multiply @t300 tptp.sk_c9)) % 1.62/1.84 (define @t302 () (= @t301 @t299)) % 1.62/1.84 (define @t303 () (not @t302)) % 1.62/1.84 (define @t304 () (tptp.multiply @t208 @t207)) % 1.62/1.84 (define @t305 () (= tptp.identity @t304)) % 1.62/1.84 (define @t306 () (not @t305)) % 1.62/1.84 (define @t307 () (= @t295 (tptp.multiply @t160 @t164))) % 1.62/1.84 (define @t308 () (not @t307)) % 1.62/1.84 (define @t309 () (= tptp.identity @t300)) % 1.62/1.84 (define @t310 () (not @t309)) % 1.62/1.84 (define @t311 () (= tptp.sk_c9 @t59)) % 1.62/1.84 (define @t312 () (= tptp.sk_c10 @t38)) % 1.62/1.84 (define @t313 () (not @t312)) % 1.62/1.84 (define @t314 () (tptp.multiply tptp.sk_c9 tptp.sk_c10)) % 1.62/1.84 (define @t315 () (tptp.multiply @t164 @t207)) % 1.62/1.84 (define @t316 () (and @t130 @t186 @t311 @t110 @t127 @t116 @t313)) % 1.62/1.84 (define @t317 () (not @t173)) % 1.62/1.84 (define @t318 () (@quantifiers_skolemize @t173 0)) % 1.62/1.84 (define @t319 () (tptp.inverse @t318)) % 1.62/1.84 (define @t320 () (= tptp.sk_c9 @t319)) % 1.62/1.84 (define @t321 () (not @t320)) % 1.62/1.84 (define @t322 () (tptp.multiply tptp.sk_c9 (tptp.multiply @t318 tptp.sk_c9))) % 1.62/1.84 (define @t323 () (= tptp.sk_c10 @t322)) % 1.62/1.84 (define @t324 () (not @t323)) % 1.62/1.84 (define @t325 () (or @t324 @t321)) % 1.62/1.84 (define @t326 () (not @t325)) % 1.62/1.84 (define @t327 () (tptp.multiply tptp.sk_c10 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) % 1.62/1.84 (define @t328 () (= tptp.sk_c9 @t327)) % 1.62/1.84 (define @t329 () (not @t328)) % 1.62/1.84 (define @t330 () (or @t329 @t313)) % 1.62/1.84 (define @t331 () (@list @t318)) % 1.62/1.84 (define @t332 () (tptp.multiply tptp.sk_c9 @t318)) % 1.62/1.84 (define @t333 () (tptp.multiply @t332 tptp.sk_c9)) % 1.62/1.84 (define @t334 () (= @t333 @t322)) % 1.62/1.84 (define @t335 () (@list tptp.sk_c9 @t318 tptp.sk_c9)) % 1.62/1.84 (define @t336 () (= @t322 @t333)) % 1.62/1.84 (define @t337 () (not @t336)) % 1.62/1.84 (define @t338 () (tptp.multiply @t319 @t318)) % 1.62/1.84 (define @t339 () (= tptp.identity @t338)) % 1.62/1.84 (define @t340 () (not @t339)) % 1.62/1.84 (define @t341 () (= tptp.sk_c10 @t319)) % 1.62/1.84 (define @t342 () (and @t323 @t320 @t339 @t243 @t336 @t313 @t245)) % 1.62/1.84 (define @t343 () (tptp.multiply tptp.sk_c10 tptp.sk_c2)) % 1.62/1.84 (define @t344 () (tptp.multiply @t343 tptp.sk_c10)) % 1.62/1.84 (define @t345 () (= @t344 @t327)) % 1.62/1.84 (define @t346 () (@list tptp.sk_c10 tptp.sk_c2 tptp.sk_c10)) % 1.62/1.84 (define @t347 () (= @t327 @t344)) % 1.62/1.84 (define @t348 () (tptp.multiply @t125 @t160)) % 1.62/1.84 (define @t349 () (tptp.multiply tptp.sk_c2 @t160)) % 1.62/1.84 (define @t350 () (tptp.multiply tptp.sk_c9 @t125)) % 1.62/1.84 (define @t351 () (tptp.multiply @t350 @t160)) % 1.62/1.84 (define @t352 () (tptp.multiply tptp.sk_c9 @t348)) % 1.62/1.84 (define @t353 () (= @t351 @t352)) % 1.62/1.84 (define @t354 () (@list tptp.sk_c9 @t125 @t160)) % 1.62/1.84 (define @t355 () (= @t352 @t351)) % 1.62/1.84 (define @t356 () (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.sk_c2) @t160)) % 1.62/1.84 (define @t357 () (tptp.multiply tptp.sk_c9 @t349)) % 1.62/1.84 (define @t358 () (= @t356 @t357)) % 1.62/1.84 (define @t359 () (@list tptp.sk_c9 tptp.sk_c2 @t160)) % 1.62/1.84 (define @t360 () (= @t357 @t356)) % 1.62/1.84 (define @t361 () (tptp.multiply @t38 tptp.sk_c2)) % 1.62/1.84 (define @t362 () (= tptp.identity @t361)) % 1.62/1.84 (define @t363 () (tptp.multiply tptp.sk_c2 @t164)) % 1.62/1.84 (define @t364 () (tptp.multiply @t349 tptp.sk_c11)) % 1.62/1.84 (define @t365 () (= @t364 @t363)) % 1.62/1.84 (define @t366 () (tptp.multiply tptp.identity @t318)) % 1.62/1.84 (define @t367 () (= @t318 @t366)) % 1.62/1.84 (define @t368 () (= @t348 (tptp.multiply tptp.identity @t348))) % 1.62/1.84 (define @t369 () (tptp.multiply tptp.sk_c9 @t228)) % 1.62/1.84 (define @t370 () (tptp.multiply tptp.sk_c9 @t161)) % 1.62/1.84 (define @t371 () (tptp.multiply @t370 @t160)) % 1.62/1.84 (define @t372 () (= @t371 @t369)) % 1.62/1.84 (define @t373 () (tptp.multiply @t343 @t164)) % 1.62/1.84 (define @t374 () (= @t373 (tptp.multiply tptp.sk_c10 @t363))) % 1.62/1.84 (define @t375 () (tptp.multiply @t228 @t348)) % 1.62/1.84 (define @t376 () (tptp.multiply tptp.sk_c9 @t375)) % 1.62/1.84 (define @t377 () (= (tptp.multiply @t369 @t348) @t376)) % 1.62/1.84 (define @t378 () (tptp.multiply @t228 @t318)) % 1.62/1.84 (define @t379 () (tptp.multiply tptp.sk_c9 @t378)) % 1.62/1.84 (define @t380 () (= (tptp.multiply @t369 @t318) @t379)) % 1.62/1.84 (define @t381 () (tptp.multiply @t314 @t364)) % 1.62/1.84 (define @t382 () (= (tptp.multiply (tptp.multiply @t314 @t349) tptp.sk_c11) @t381)) % 1.62/1.84 (define @t383 () (tptp.multiply @t126 tptp.identity)) % 1.62/1.84 (define @t384 () (and @t116 @t323 @t320 @t130 @t127 @t165 @t362 @t339 @t309 @t243 @t336 @t245 @t365 @t347 @t302 @t292 @t233 @t367 @t368 @t372 @t374 @t377 @t380 @t382 @t355 @t360)) % 1.62/1.84 (define @t385 () (not @t372)) % 1.62/1.84 (define @t386 () (= tptp.sk_c10 @t126)) % 1.62/1.84 (define @t387 () (not @t386)) % 1.62/1.84 (define @t388 () (tptp.multiply tptp.sk_c10 (tptp.multiply @t125 tptp.sk_c10))) % 1.62/1.84 (define @t389 () (= tptp.sk_c9 @t388)) % 1.62/1.84 (define @t390 () (not @t389)) % 1.62/1.84 (define @t391 () (or @t390 @t387)) % 1.62/1.84 (define @t392 () (and @t323 @t320 @t339 @t243 @t336 @t387 @t245)) % 1.62/1.84 (define @t393 () (tptp.multiply tptp.sk_c10 @t125)) % 1.62/1.84 (define @t394 () (tptp.multiply @t393 tptp.sk_c10)) % 1.62/1.84 (define @t395 () (= @t394 @t388)) % 1.62/1.84 (define @t396 () (@list tptp.sk_c10 @t125 tptp.sk_c10)) % 1.62/1.84 (define @t397 () (= @t388 @t394)) % 1.62/1.84 (define @t398 () (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) % 1.62/1.84 (define @t399 () (tptp.multiply @t393 tptp.sk_c9)) % 1.62/1.84 (define @t400 () (= @t399 (tptp.multiply tptp.sk_c10 @t129))) % 1.62/1.84 (define @t401 () (tptp.multiply @t228 tptp.sk_c7)) % 1.62/1.84 (define @t402 () (tptp.multiply tptp.sk_c9 @t401)) % 1.62/1.84 (define @t403 () (= (tptp.multiply @t369 tptp.sk_c7) @t402)) % 1.62/1.84 (define @t404 () (and @t112 @t178 @t130 @t127 @t242 @t309 @t243 @t198 @t245 @t397 @t302 @t181 @t398 @t372 @t400 @t403)) % 1.62/1.84 (define @t405 () (= tptp.sk_c9 @t208)) % 1.62/1.84 (define @t406 () (not @t405)) % 1.62/1.84 (define @t407 () (tptp.multiply @t207 tptp.sk_c9)) % 1.62/1.84 (define @t408 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c9 @t407))) % 1.62/1.84 (define @t409 () (not @t408)) % 1.62/1.84 (define @t410 () (or @t409 @t406)) % 1.62/1.84 (define @t411 () (@list @t167)) % 1.62/1.84 (define @t412 () (and @t186 @t165 @t162 @t243 @t307 @t212 @t209 @t305 @t297 @t225 @t292 @t233 @t240)) % 1.62/1.84 (define @t413 () (tptp.multiply tptp.sk_c1 tptp.sk_c10)) % 1.62/1.84 (define @t414 () (tptp.multiply tptp.sk_c11 tptp.sk_c1)) % 1.62/1.84 (define @t415 () (tptp.multiply @t414 tptp.sk_c10)) % 1.62/1.84 (define @t416 () (tptp.multiply tptp.sk_c11 @t413)) % 1.62/1.84 (define @t417 () (= @t415 @t416)) % 1.62/1.84 (define @t418 () (= @t416 @t415)) % 1.62/1.84 (define @t419 () (tptp.multiply tptp.sk_c9 @t234)) % 1.62/1.84 (define @t420 () (= tptp.identity (tptp.multiply @t28 tptp.sk_c1))) % 1.62/1.84 (define @t421 () (tptp.multiply tptp.identity tptp.sk_c1)) % 1.62/1.84 (define @t422 () (= tptp.sk_c1 @t421)) % 1.62/1.84 (define @t423 () (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11))) % 1.62/1.84 (define @t424 () (tptp.multiply tptp.sk_c9 @t416)) % 1.62/1.84 (define @t425 () (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.sk_c11) @t413) @t424)) % 1.62/1.84 (define @t426 () (tptp.multiply @t164 @t407)) % 1.62/1.84 (define @t427 () (= (tptp.multiply @t315 tptp.sk_c9) @t426)) % 1.62/1.84 (define @t428 () (tptp.multiply @t234 tptp.sk_c11)) % 1.62/1.84 (define @t429 () (tptp.multiply tptp.sk_c9 @t428)) % 1.62/1.84 (define @t430 () (tptp.multiply @t419 tptp.sk_c11)) % 1.62/1.84 (define @t431 () (= @t430 @t429)) % 1.62/1.84 (define @t432 () (tptp.multiply @t430 @t413)) % 1.62/1.84 (define @t433 () (= @t432 (tptp.multiply @t419 @t416))) % 1.62/1.84 (define @t434 () (and @t147 @t130 @t127 @t165 @t162 @t420 @t309 @t243 @t245 @t307 @t212 @t209 @t305 @t302 @t297 @t225 @t292 @t233 @t422 @t423 @t425 @t372 @t427 @t418 @t240 @t431 @t433)) % 1.62/1.84 (define @t435 () (@list @t112)) % 1.62/1.84 (define @t436 () (@list @t214)) % 1.62/1.84 (assume @p1 @t4) % 1.62/1.84 (assume @p2 @t6) % 1.62/1.84 (assume @p3 @t9) % 1.62/1.84 (assume @p4 @t14) % 1.62/1.84 (assume @p5 @t17) % 1.62/1.84 (assume @p6 (or @t13 @t19)) % 1.62/1.84 (assume @p7 (or @t13 @t21)) % 1.62/1.84 (assume @p8 (or @t13 @t23)) % 1.62/1.84 (assume @p9 (or @t13 @t25)) % 1.62/1.84 (assume @p10 (or @t13 @t27)) % 1.62/1.84 (assume @p11 @t30) % 1.62/1.84 (assume @p12 @t31) % 1.62/1.84 (assume @p13 @t32) % 1.62/1.84 (assume @p14 @t33) % 1.62/1.84 (assume @p15 (or @t29 @t23)) % 1.62/1.84 (assume @p16 (or @t29 @t25)) % 1.62/1.84 (assume @p17 (or @t29 @t27)) % 1.62/1.84 (assume @p18 (or @t35 @t11)) % 1.62/1.84 (assume @p19 (or @t35 @t16)) % 1.62/1.84 (assume @p20 @t36) % 1.62/1.84 (assume @p21 @t37) % 1.62/1.84 (assume @p22 (or @t35 @t23)) % 1.62/1.84 (assume @p23 (or @t35 @t25)) % 1.62/1.84 (assume @p24 (or @t35 @t27)) % 1.62/1.84 (assume @p25 @t40) % 1.62/1.84 (assume @p26 @t41) % 1.62/1.84 (assume @p27 @t42) % 1.62/1.84 (assume @p28 @t43) % 1.62/1.84 (assume @p29 @t44) % 1.62/1.84 (assume @p30 @t45) % 1.62/1.84 (assume @p31 @t46) % 1.62/1.84 (assume @p32 (or @t48 @t11)) % 1.62/1.84 (assume @p33 (or @t48 @t16)) % 1.62/1.84 (assume @p34 @t49) % 1.62/1.84 (assume @p35 (or @t48 @t21)) % 1.62/1.84 (assume @p36 @t50) % 1.62/1.84 (assume @p37 @t51) % 1.62/1.84 (assume @p38 @t52) % 1.62/1.84 (assume @p39 (or @t54 @t11)) % 1.62/1.84 (assume @p40 (or @t54 @t16)) % 1.62/1.84 (assume @p41 @t55) % 1.62/1.84 (assume @p42 (or @t54 @t21)) % 1.62/1.84 (assume @p43 @t56) % 1.62/1.84 (assume @p44 @t57) % 1.62/1.84 (assume @p45 @t58) % 1.62/1.84 (assume @p46 (or @t60 @t11)) % 1.62/1.84 (assume @p47 (or @t60 @t16)) % 1.62/1.84 (assume @p48 @t61) % 1.62/1.84 (assume @p49 @t62) % 1.62/1.84 (assume @p50 @t63) % 1.62/1.84 (assume @p51 @t64) % 1.62/1.84 (assume @p52 @t65) % 1.62/1.84 (assume @p53 @t104) % 1.62/1.84 (assume-push @p1574 @t108) % 1.62/1.84 (step @p55 :rule instantiate :premises (@p1574) :args (@t109)) % 1.62/1.84 (step-pop @p1575 :rule scope :premises (@p55)) % 1.62/1.84 (step @p56 :rule process_scope :premises (@p1575) :args (@t114)) % 1.62/1.84 (step @p58 :rule implies_elim :premises (@p56)) % 1.62/1.84 (assume-push @p1576 @t108) % 1.62/1.84 (step @p60 :rule instantiate :premises (@p1576) :args (@t115)) % 1.62/1.84 (step-pop @p1577 :rule scope :premises (@p60)) % 1.62/1.84 (step @p61 :rule process_scope :premises (@p1577) :args (@t120)) % 1.62/1.84 (step @p63 :rule implies_elim :premises (@p61)) % 1.62/1.84 (step @p64 :rule eq-symm :args (@t18 tptp.sk_c10)) % 1.62/1.84 (step @p65 :rule eq-symm :args (@t34 tptp.sk_c10)) % 1.62/1.84 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t36)) % 1.62/1.84 (step @p67 :rule eq_resolve :premises (@p20 @p66)) % 1.62/1.84 (step @p68 :rule reordering :premises (@p67) :args ((or @t112 @t118))) % 1.62/1.84 (step @p69 :rule eq-symm :args (@t20 tptp.sk_c9)) % 1.62/1.84 (step @p70 :rule nary_cong :premises (@p65 @p69) :args (@t37)) % 1.62/1.84 (step @p71 :rule eq_resolve :premises (@p21 @p70)) % 1.62/1.84 (step @p72 :rule 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:rule trans :premises (@p330 @p695 @p693)) % 1.62/1.84 (step @p697 :rule cong :premises (@p696 @p692) :args (@t296)) % 1.62/1.84 (step @p698 :rule symm :premises (@p310)) % 1.62/1.84 (step @p699 :rule symm :premises (@p307)) % 1.62/1.84 (step @p1426 :rule cong :premises (@p694 @p2109) :args (@t236)) % 1.62/1.84 (step @p1427 :rule trans :premises (@p1426 @p699)) % 1.62/1.84 (step @p1428 :rule cong :premises (@p2110 @p1427) :args (@t237)) % 1.62/1.84 (step @p334 :rule instantiate :premises (@p3) :args (@t239)) % 1.62/1.84 (step @p1429 :rule symm :premises (@p2110)) % 1.62/1.84 (step @p1430 :rule cong :premises (@p1429 @p694) :args (@t228)) % 1.62/1.84 (step @p1431 :rule symm :premises (@p1353)) % 1.62/1.84 (step @p1432 :rule symm :premises (@p1354)) % 1.62/1.84 (step @p1433 :rule refl :args (@t28)) % 1.62/1.84 (step @p1434 :rule cong :premises (@p1433 @p1432) :args ((tptp.multiply @t28 @t421))) % 1.62/1.84 (step @p1435 :rule cong :premises (@p2106 @p1354) :args (@t414)) % 1.62/1.84 (step @p1436 :rule trans :premises (@p1435 @p1434 @p1431 @p302)) % 1.62/1.84 (step @p1437 :rule trans :premises (@p1436 @p1430)) % 1.62/1.84 (step @p1438 :rule cong :premises (@p1437 @p1425) :args ((tptp.multiply @t414 @t164))) % 1.62/1.84 (step @p1439 :rule refl :args (@t414)) % 1.62/1.84 (step @p1440 :rule cong :premises (@p1439 @p2109) :args (@t415)) % 1.62/1.84 (step @p1441 :rule trans :premises (@p1366 @p1440 @p1438 @p334 @p1428 @p698 @p697 @p1425)) % 1.62/1.84 (step @p1442 :rule cong :premises (@p234 @p1441) :args (@t424)) % 1.62/1.84 (step @p1443 :rule refl :args (@t413)) % 1.62/1.84 (step @p1444 :rule cong :premises (@p234 @p1429) :args (@t370)) % 1.62/1.84 (step @p1445 :rule symm :premises (@p1444)) % 1.62/1.84 (step @p1446 :rule symm :premises (@p1355)) % 1.62/1.84 (step @p1447 :rule symm :premises (@p1430)) % 1.62/1.84 (step @p1448 :rule trans :premises (@p1447 @p383)) % 1.62/1.84 (step @p1449 :rule cong :premises (@p1448 @p692) :args (@t428)) % 1.62/1.84 (step @p1450 :rule trans :premises (@p1449 @p1446)) % 1.62/1.84 (step @p1451 :rule cong :premises (@p234 @p1450) :args (@t429)) % 1.62/1.84 (step @p1452 :rule trans :premises (@p1367 @p1451 @p1445)) % 1.62/1.84 (step @p1453 :rule trans :premises (@p1452 @p1444)) % 1.62/1.84 (step @p1454 :rule cong :premises (@p1453 @p1443) :args (@t432)) % 1.62/1.84 (step @p1455 :rule symm :premises (@p1368)) % 1.62/1.84 (step @p1456 :rule symm :premises (@p1441)) % 1.62/1.84 (step @p1457 :rule cong :premises (@p234 @p1430) :args (@t369)) % 1.62/1.84 (step @p1458 :rule trans :premises (@p874 @p1457)) % 1.62/1.84 (step @p1459 :rule cong :premises (@p1458 @p1456) :args ((tptp.multiply @t371 tptp.sk_c10))) % 1.62/1.84 (step @p1460 :rule trans :premises (@p1459 @p1455 @p1454 @p1356 @p1442 @p1424 @p976 @p975 @p438)) % 1.62/1.84 (step @p1461 :rule symm :premises (@p1459)) % 1.62/1.84 (step @p1462 :rule symm :premises (@p1454)) % 1.62/1.84 (step @p1463 :rule symm :premises (@p1356)) % 1.62/1.84 (step @p1464 :rule symm :premises (@p1442)) % 1.62/1.84 (step @p1465 :rule symm :premises (@p1424)) % 1.62/1.84 (step @p658 :rule cong :premises (@p301 @p234) :args (@t244)) % 1.62/1.84 (step @p1466 :rule symm :premises (@p2116)) % 1.62/1.84 (step @p315 :rule instantiate :premises (@p3) :args (@t224)) % 1.62/1.84 (step @p663 :rule refl :args (tptp.sk_c10)) % 1.62/1.84 (step @p706 :rule refl :args (@t207)) % 1.62/1.84 (step @p1467 :rule cong :premises (@p1425 @p706) :args (@t315)) % 1.62/1.84 (step @p1468 :rule symm :premises (@p1467)) % 1.62/1.84 (step @p1469 :rule symm :premises (@p2117)) % 1.62/1.84 (step @p1470 :rule cong :premises (@p1469 @p706) :args (@t304)) % 1.62/1.84 (step @p1471 :rule trans :premises (@p383 @p308 @p1470 @p1468)) % 1.62/1.84 (step @p1472 :rule trans :premises (@p1447 @p1471 @p1467)) % 1.62/1.84 (step @p1473 :rule cong :premises (@p1472 @p663) :args (@t235)) % 1.62/1.84 (step @p1474 :rule symm :premises (@p1428)) % 1.62/1.84 (step @p1475 :rule symm :premises (@p697)) % 1.62/1.84 (step @p1476 :rule trans :premises (@p1475 @p310 @p1474 @p339 @p1473 @p315 @p1466 @p306 @p658 @p309 @p1465 @p1464 @p1463 @p1462 @p1368 @p1461)) % 1.62/1.84 (step @p1477 :rule trans :premises (@p1476 @p1460)) % 1.62/1.84 (step @p1478 :rule cong :premises (@p1477 @p1423) :args (@t426)) % 1.62/1.84 (step @p1479 :rule trans :premises (@p302 @p1471)) % 1.62/1.84 (step @p1480 :rule cong :premises (@p1479 @p234) :args (@t244)) % 1.62/1.84 (step @p1481 :rule trans :premises (@p2109 @p1475 @p310 @p1474 @p339 @p1473 @p315 @p1466 @p306 @p1480 @p1357 @p1478)) % 1.62/1.84 (step-pop @p2160 :rule scope :premises (@p1481)) % 1.62/1.84 (step-pop @p2161 :rule scope :premises (@p2160)) % 1.62/1.84 (step-pop @p2162 :rule scope :premises (@p2161)) % 1.62/1.84 (step-pop @p2163 :rule scope :premises (@p2162)) % 1.62/1.84 (step-pop @p2164 :rule scope :premises (@p2163)) % 1.62/1.84 (step-pop @p2165 :rule scope :premises (@p2164)) % 1.62/1.84 (step-pop @p2166 :rule scope :premises (@p2165)) % 1.62/1.84 (step-pop @p2167 :rule scope :premises (@p2166)) % 1.62/1.84 (step-pop @p2168 :rule scope :premises (@p2167)) % 1.62/1.84 (step-pop @p2169 :rule scope :premises (@p2168)) % 1.62/1.84 (step-pop @p2170 :rule scope :premises (@p2169)) % 1.62/1.84 (step-pop @p2171 :rule scope :premises (@p2170)) % 1.62/1.84 (step-pop @p2172 :rule scope :premises (@p2171)) % 1.62/1.84 (step-pop @p2173 :rule scope :premises (@p2172)) % 1.62/1.84 (step-pop @p2174 :rule scope :premises (@p2173)) % 1.62/1.84 (step-pop @p2175 :rule scope :premises (@p2174)) % 1.62/1.84 (step-pop @p2176 :rule scope :premises (@p2175)) % 1.62/1.84 (step-pop @p2177 :rule scope :premises (@p2176)) % 1.62/1.84 (step-pop @p2178 :rule scope :premises (@p2177)) % 1.62/1.84 (step-pop @p2179 :rule scope :premises (@p2178)) % 1.62/1.84 (step-pop @p2180 :rule scope :premises (@p2179)) % 1.62/1.84 (step-pop @p2181 :rule scope :premises (@p2180)) % 1.62/1.84 (step-pop @p2182 :rule scope :premises (@p2181)) % 1.62/1.84 (step-pop @p2183 :rule scope :premises (@p2182)) % 1.62/1.84 (step-pop @p2184 :rule scope :premises (@p2183)) % 1.62/1.84 (step-pop @p2185 :rule scope :premises (@p2184)) % 1.62/1.84 (step-pop @p2186 :rule scope :premises (@p2185)) % 1.62/1.84 (step @p1482 :rule process_scope :premises (@p2186) :args (@t408)) % 1.62/1.84 (step @p1510 :rule and_intro :premises (@p306 @p302 @p301 @p309 @p2108 @p2107 @p2109 @p321 @p330 @p310 @p2110 @p307 @p339 @p1353 @p1354 @p2106 @p1366 @p1356 @p1355 @p1367 @p1368 @p874 @p2116 @p320 @p2117 @p308 @p1357)) % 1.62/1.84 (step @p1511 :rule modus_ponens :premises (@p1510 @p1482)) % 1.62/1.84 (step-pop @p2187 :rule scope :premises (@p1511)) % 1.62/1.84 (step-pop @p2188 :rule scope :premises (@p2187)) % 1.62/1.84 (step-pop @p2189 :rule scope :premises (@p2188)) % 1.62/1.84 (step-pop @p2190 :rule scope :premises (@p2189)) % 1.62/1.84 (step-pop @p2191 :rule scope :premises (@p2190)) % 1.62/1.84 (step-pop @p2192 :rule scope :premises (@p2191)) % 1.62/1.84 (step-pop @p2193 :rule scope :premises (@p2192)) % 1.62/1.84 (step-pop @p2194 :rule scope :premises (@p2193)) % 1.62/1.84 (step-pop @p2195 :rule scope :premises (@p2194)) % 1.62/1.84 (step-pop @p2196 :rule scope :premises (@p2195)) % 1.62/1.84 (step-pop @p2197 :rule scope :premises (@p2196)) % 1.62/1.84 (step-pop @p2198 :rule scope :premises (@p2197)) % 1.62/1.84 (step-pop @p2199 :rule scope :premises (@p2198)) % 1.62/1.84 (step-pop @p2200 :rule scope :premises (@p2199)) % 1.62/1.84 (step-pop @p2201 :rule scope :premises (@p2200)) % 1.62/1.84 (step-pop @p2202 :rule scope :premises (@p2201)) % 1.62/1.84 (step-pop @p2203 :rule scope :premises (@p2202)) % 1.62/1.84 (step-pop @p2204 :rule scope :premises (@p2203)) % 1.62/1.84 (step-pop @p2205 :rule scope :premises (@p2204)) % 1.62/1.84 (step-pop @p2206 :rule scope :premises (@p2205)) % 1.62/1.84 (step-pop @p2207 :rule scope :premises (@p2206)) % 1.62/1.84 (step-pop @p2208 :rule scope :premises (@p2207)) % 1.62/1.84 (step-pop @p2209 :rule scope :premises (@p2208)) % 1.62/1.84 (step-pop @p2210 :rule scope :premises (@p2209)) % 1.62/1.84 (step-pop @p2211 :rule scope :premises (@p2210)) % 1.62/1.84 (step-pop @p2212 :rule scope :premises (@p2211)) % 1.62/1.84 (step-pop @p2213 :rule scope :premises (@p2212)) % 1.62/1.84 (step @p1512 :rule process_scope :premises (@p2213) :args (@t408)) % 1.62/1.84 (step @p1540 :rule implies_elim :premises (@p1512)) % 1.62/1.84 (step @p1541 :rule cnf_and_neg :args (@t434)) % 1.62/1.84 (step @p1542 :rule resolution :premises (@p1541 @p1540) :args (true @t434)) % 1.62/1.84 (step @p1543 :rule reordering :premises (@p1542) :args ((or @t148 @t131 @t128 @t166 @t163 (not @t420) @t310 @t250 @t248 @t308 @t213 @t210 @t408 @t306 @t303 @t298 @t294 @t293 @t290 (not @t422) (not @t423) (not @t425) @t385 (not @t427) (not @t418) @t289 (not @t431) (not @t433)))) % 1.62/1.84 (step @p1544 :rule cnf_or_pos :args (@t410)) % 1.62/1.84 (step @p1545 :rule reordering :premises (@p1544) :args ((or @t406 @t409 (not @t410)))) % 1.62/1.84 (step @p1546 :rule chain_m_resolution :premises (@p1545 @p1543 @p1281 @p1280 @p1368 @p345 @p102 @p1367 @p339 @p1366 @p1357 @p874 @p1356 @p1355 @p1354 @p330 @p321 @p320 @p310 @p309 @p308 @p307 @p306 @p302 @p301 @p1353 @p1352 @p1281 @p1280 @p339 @p330 @p321 @p320 @p310 @p308 @p307 @p302 @p1278 @p297 @p292 @p562 @p85 @p1273 @p132 @p135 @p286 @p1272 @p1269 @p1266 @p1078 @p135) :args (@t113 (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true true true true true false false true true true) (@list @t408 @t162 @t165 @t433 @t127 @t130 @t431 @t240 @t418 @t427 @t372 @t425 @t423 @t422 @t233 @t292 @t225 @t297 @t302 @t305 @t307 @t245 @t243 @t309 @t420 @t405 @t162 @t165 @t240 @t233 @t292 @t225 @t297 @t305 @t307 @t243 @t410 @t209 @t212 @t173 @t108 @t274 @t140 @t158 @t214 @t186 @t147 @t206 @t110 @t158))) % 1.62/1.84 (step @p1547 :rule nary_cong :premises (@p175 @p64) :args (@t55)) % 1.62/1.84 (step @p1548 :rule eq_resolve :premises (@p41 @p1547)) % 1.62/1.84 (step @p1549 :rule reordering :premises (@p1548) :args ((or @t112 @t185))) % 1.62/1.84 (step @p1550 :rule chain_m_resolution :premises (@p1549 @p1546) :args (@t185 @t134 @t435)) % 1.62/1.84 (step @p1551 :rule nary_cong :premises (@p171 @p64) :args (@t49)) % 1.62/1.84 (step @p1552 :rule eq_resolve :premises (@p34 @p1551)) % 1.62/1.84 (step @p1553 :rule reordering :premises (@p1552) :args ((or @t112 @t184))) % 1.62/1.84 (step @p1554 :rule chain_m_resolution :premises (@p1553 @p1546) :args (@t184 @t134 @t435)) % 1.62/1.84 (step @p1555 :rule chain_m_resolution :premises (@p208 @p1554 @p1550 @p102) :args (@t188 @t201 (@list @t184 @t185 @t130))) % 1.62/1.84 (step @p1556 :rule nary_cong :premises (@p179 @p64) :args (@t61)) % 1.62/1.84 (step @p1557 :rule eq_resolve :premises (@p48 @p1556)) % 1.62/1.84 (step @p1558 :rule reordering :premises (@p1557) :args ((or @t112 @t186))) % 1.62/1.84 (step @p1559 :rule chain_m_resolution :premises (@p1558 @p1546) :args (@t186 @t134 @t435)) % 1.62/1.84 (step @p1560 :rule chain_m_resolution :premises (@p184 @p1559 @p1555) :args (@t191 @t122 (@list @t186 @t188))) % 1.62/1.84 (step @p1561 :rule chain_m_resolution :premises (@p277 @p1560) :args (@t216 @t134 (@list @t190))) % 1.62/1.84 (step @p1562 :rule chain_m_resolution :premises (@p562 @p132 @p85 @p135 @p1273 @p1561) :args (@t173 (@list true true true true true) (@list @t140 @t108 @t158 @t274 @t206))) % 1.62/1.84 (step @p1563 :rule chain_m_resolution :premises (@p1278 @p1562) :args (@t410 @t226 (@list @t173))) % 1.62/1.84 (step @p1564 :rule chain_m_resolution :premises (@p286 @p1561) :args (@t215 @t134 (@list @t206))) % 1.62/1.84 (step @p1565 :rule chain_m_resolution :premises (@p297 @p1564) :args (@t209 @t134 @t436)) % 1.62/1.84 (step @p1566 :rule chain_m_resolution :premises (@p292 @p1564) :args (@t212 @t134 @t436)) % 1.62/1.84 (step @p1567 :rule nary_cong :premises (@p117 @p64) :args (@t32)) % 1.62/1.84 (step @p1568 :rule eq_resolve :premises (@p13 @p1567)) % 1.62/1.84 (step @p1569 :rule reordering :premises (@p1568) :args ((or @t112 @t147))) % 1.62/1.84 (step @p1570 :rule chain_m_resolution :premises (@p1569 @p1546) :args (@t147 @t134 @t435)) % 1.62/1.84 (step @p1571 :rule chain_m_resolution :premises (@p1543 @p1570 @p102 @p345 @p1280 @p1281 @p1353 @p301 @p302 @p306 @p307 @p1566 @p1565 @p308 @p309 @p310 @p320 @p321 @p330 @p1354 @p1355 @p1356 @p874 @p1357 @p1366 @p339 @p1367 @p1368) :args (@t408 (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t147 @t130 @t127 @t165 @t162 @t420 @t309 @t243 @t245 @t307 @t212 @t209 @t305 @t302 @t297 @t225 @t292 @t233 @t422 @t423 @t425 @t372 @t427 @t418 @t240 @t431 @t433))) % 1.62/1.84 (step @p1572 :rule chain_m_resolution :premises (@p1352 @p1559 @p1280 @p1281 @p302 @p307 @p1566 @p1565 @p308 @p310 @p320 @p321 @p330 @p339) :args (@t405 (@list false false false false false false false false false false false false false) (@list @t186 @t165 @t162 @t243 @t307 @t212 @t209 @t305 @t297 @t225 @t292 @t233 @t240))) % 1.62/1.84 (step @p1573 false :rule chain_m_resolution :premises (@p1545 @p1572 @p1571 @p1563) :args (false @t201 (@list @t405 @t408 @t410))) % 1.62/1.84 ) % 1.62/1.84 % SZS output end Proof % 1.62/1.85 % cvc5 exiting %------------------------------------------------------------------------------