%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP240-1 : 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 : n013.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 08:20:17 AM UTC 2026 % Result : Unsatisfiable 0.72s 0.96s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP240-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 01:00:00 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/0.96 % SZS status Unsatisfiable % 0.72/0.96 % SZS output start Proof % 0.72/0.99 ( % 0.72/0.99 (declare-sort $$unsorted 0) % 0.72/0.99 (declare-const tptp.sk_c1 $$unsorted) % 0.72/0.99 (declare-const tptp.sk_c8 $$unsorted) % 0.72/0.99 (declare-const tptp.sk_c5 $$unsorted) % 0.72/0.99 (declare-const tptp.sk_c9 $$unsorted) % 0.72/0.99 (declare-const tptp.sk_c4 $$unsorted) % 0.72/0.99 (declare-const tptp.sk_c7 $$unsorted) % 0.72/0.99 (declare-const tptp.sk_c10 $$unsorted) % 0.72/0.99 (declare-const tptp.sk_c3 $$unsorted) % 0.72/0.99 (declare-const tptp.sk_c6 $$unsorted) % 0.72/0.99 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.72/0.99 (declare-const tptp.sk_c2 $$unsorted) % 0.72/0.99 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.99 (declare-const tptp.identity $$unsorted) % 0.72/0.99 (define @t1 () (@var "X" $$unsorted)) % 0.72/0.99 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.72/0.99 (define @t3 () (@list @t1)) % 0.72/0.99 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.72/0.99 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.72/0.99 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.72/0.99 (define @t7 () (@var "Z" $$unsorted)) % 0.72/0.99 (define @t8 () (@var "Y" $$unsorted)) % 0.72/0.99 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.72/0.99 (define @t10 () (tptp.inverse tptp.sk_c4)) % 0.72/0.99 (define @t11 () (= @t10 tptp.sk_c10)) % 0.72/0.99 (define @t12 () (tptp.inverse tptp.sk_c10)) % 0.72/0.99 (define @t13 () (= @t12 tptp.sk_c9)) % 0.72/0.99 (define @t14 () (or @t13 @t11)) % 0.72/0.99 (define @t15 () (tptp.multiply tptp.sk_c4 tptp.sk_c9)) % 0.72/0.99 (define @t16 () (= @t15 tptp.sk_c10)) % 0.72/0.99 (define @t17 () (or @t13 @t16)) % 0.72/0.99 (define @t18 () (tptp.multiply tptp.sk_c5 tptp.sk_c6)) % 0.72/0.99 (define @t19 () (= @t18 tptp.sk_c9)) % 0.72/0.99 (define @t20 () (or @t13 @t19)) % 0.72/0.99 (define @t21 () (tptp.inverse tptp.sk_c5)) % 0.72/0.99 (define @t22 () (= @t21 tptp.sk_c6)) % 0.72/0.99 (define @t23 () (or @t13 @t22)) % 0.72/0.99 (define @t24 () (tptp.multiply tptp.sk_c6 tptp.sk_c10)) % 0.72/0.99 (define @t25 () (= @t24 tptp.sk_c9)) % 0.72/0.99 (define @t26 () (or @t13 @t25)) % 0.72/0.99 (define @t27 () (tptp.multiply tptp.sk_c10 tptp.sk_c8)) % 0.72/0.99 (define @t28 () (= @t27 tptp.sk_c9)) % 0.72/0.99 (define @t29 () (or @t13 @t28)) % 0.72/0.99 (define @t30 () (tptp.multiply tptp.sk_c7 tptp.sk_c10)) % 0.72/0.99 (define @t31 () (= @t30 tptp.sk_c8)) % 0.72/0.99 (define @t32 () (or @t13 @t31)) % 0.72/0.99 (define @t33 () (tptp.inverse tptp.sk_c7)) % 0.72/0.99 (define @t34 () (= @t33 tptp.sk_c10)) % 0.72/0.99 (define @t35 () (or @t13 @t34)) % 0.72/0.99 (define @t36 () (tptp.inverse tptp.sk_c9)) % 0.72/0.99 (define @t37 () (= @t36 tptp.sk_c10)) % 0.72/0.99 (define @t38 () (tptp.multiply tptp.sk_c1 tptp.sk_c9)) % 0.72/0.99 (define @t39 () (= @t38 tptp.sk_c10)) % 0.72/0.99 (define @t40 () (or @t39 @t11)) % 0.72/0.99 (define @t41 () (or @t39 @t16)) % 0.72/0.99 (define @t42 () (tptp.inverse tptp.sk_c1)) % 0.72/0.99 (define @t43 () (= @t42 tptp.sk_c9)) % 0.72/0.99 (define @t44 () (or @t43 @t11)) % 0.72/0.99 (define @t45 () (or @t43 @t16)) % 0.72/0.99 (define @t46 () (tptp.multiply tptp.sk_c10 tptp.sk_c3)) % 0.72/0.99 (define @t47 () (= @t46 tptp.sk_c9)) % 0.72/0.99 (define @t48 () (or @t47 @t11)) % 0.72/0.99 (define @t49 () (or @t47 @t16)) % 0.72/0.99 (define @t50 () (or @t47 @t28)) % 0.72/0.99 (define @t51 () (or @t47 @t31)) % 0.72/0.99 (define @t52 () (or @t47 @t34)) % 0.72/0.99 (define @t53 () (tptp.multiply tptp.sk_c2 tptp.sk_c10)) % 0.72/0.99 (define @t54 () (= @t53 tptp.sk_c3)) % 0.72/0.99 (define @t55 () (or @t54 @t11)) % 0.72/0.99 (define @t56 () (or @t54 @t16)) % 0.72/0.99 (define @t57 () (or @t54 @t28)) % 0.72/0.99 (define @t58 () (or @t54 @t31)) % 0.72/0.99 (define @t59 () (or @t54 @t34)) % 0.72/0.99 (define @t60 () (tptp.inverse tptp.sk_c2)) % 0.72/0.99 (define @t61 () (= @t60 tptp.sk_c10)) % 0.72/0.99 (define @t62 () (or @t61 @t11)) % 0.72/0.99 (define @t63 () (or @t61 @t16)) % 0.72/0.99 (define @t64 () (or @t61 @t19)) % 0.72/0.99 (define @t65 () (or @t61 @t22)) % 0.72/0.99 (define @t66 () (or @t61 @t25)) % 0.72/0.99 (define @t67 () (or @t61 @t28)) % 0.72/0.99 (define @t68 () (or @t61 @t31)) % 0.72/0.99 (define @t69 () (or @t61 @t34)) % 0.72/0.99 (define @t70 () (@var "X8" $$unsorted)) % 0.72/0.99 (define @t71 () (tptp.inverse @t70)) % 0.72/0.99 (define @t72 () (not (= @t71 tptp.sk_c10))) % 0.72/0.99 (define @t73 () (@var "X7" $$unsorted)) % 0.72/0.99 (define @t74 () (tptp.multiply @t70 tptp.sk_c10)) % 0.72/0.99 (define @t75 () (not (= @t74 @t73))) % 0.72/0.99 (define @t76 () (tptp.multiply tptp.sk_c10 @t73)) % 0.72/0.99 (define @t77 () (not (= @t76 tptp.sk_c9))) % 0.72/0.99 (define @t78 () (@var "X2" $$unsorted)) % 0.72/0.99 (define @t79 () (tptp.multiply @t78 tptp.sk_c10)) % 0.72/0.99 (define @t80 () (not (= @t79 tptp.sk_c9))) % 0.72/0.99 (define @t81 () (@var "X3" $$unsorted)) % 0.72/0.99 (define @t82 () (tptp.inverse @t81)) % 0.72/0.99 (define @t83 () (not (= @t82 @t78))) % 0.72/0.99 (define @t84 () (tptp.multiply @t81 @t78)) % 0.72/0.99 (define @t85 () (not (= @t84 tptp.sk_c9))) % 0.72/0.99 (define @t86 () (@var "X1" $$unsorted)) % 0.72/0.99 (define @t87 () (tptp.multiply @t86 tptp.sk_c9)) % 0.72/0.99 (define @t88 () (not (= @t87 tptp.sk_c10))) % 0.72/0.99 (define @t89 () (tptp.inverse @t86)) % 0.72/0.99 (define @t90 () (not (= @t89 tptp.sk_c10))) % 0.72/0.99 (define @t91 () (@var "X6" $$unsorted)) % 0.72/0.99 (define @t92 () (tptp.inverse @t91)) % 0.72/0.99 (define @t93 () (not (= @t92 tptp.sk_c10))) % 0.72/0.99 (define @t94 () (@var "X5" $$unsorted)) % 0.72/0.99 (define @t95 () (tptp.multiply @t91 tptp.sk_c10)) % 0.72/0.99 (define @t96 () (not (= @t95 @t94))) % 0.72/0.99 (define @t97 () (tptp.multiply tptp.sk_c10 @t94)) % 0.72/0.99 (define @t98 () (not (= @t97 tptp.sk_c9))) % 0.72/0.99 (define @t99 () (@var "X4" $$unsorted)) % 0.72/0.99 (define @t100 () (tptp.inverse @t99)) % 0.72/0.99 (define @t101 () (not (= @t100 tptp.sk_c9))) % 0.72/0.99 (define @t102 () (tptp.multiply @t99 tptp.sk_c9)) % 0.72/0.99 (define @t103 () (not (= @t102 tptp.sk_c10))) % 0.72/0.99 (define @t104 () (not @t37)) % 0.72/0.99 (define @t105 () (not @t13)) % 0.72/0.99 (define @t106 () (or @t105 @t104 @t103 @t101 @t98 @t96 @t93 @t90 @t88 @t85 @t83 @t80 @t77 @t75 @t72)) % 0.72/0.99 (define @t107 () (@list @t99 @t94 @t91 @t86 @t81 @t78 @t73 @t70)) % 0.72/0.99 (define @t108 () (forall @t107 @t106)) % 0.72/0.99 (define @t109 () (@list tptp.sk_c10)) % 0.72/0.99 (define @t110 () (@list tptp.sk_c2)) % 0.72/0.99 (define @t111 () (not (= tptp.sk_c10 @t92))) % 0.72/0.99 (define @t112 () (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 @t95)))) % 0.72/0.99 (define @t113 () (or @t112 @t111)) % 0.72/0.99 (define @t114 () (@list @t91)) % 0.72/0.99 (define @t115 () (forall @t114 @t113)) % 0.72/0.99 (define @t116 () (@quantifiers_skolemize @t115 0)) % 0.72/0.99 (define @t117 () (@list @t116)) % 0.72/0.99 (define @t118 () (not (= tptp.sk_c9 (tptp.multiply @t82 tptp.sk_c10)))) % 0.72/0.99 (define @t119 () (not (= tptp.sk_c9 (tptp.multiply @t81 @t82)))) % 0.72/0.99 (define @t120 () (or @t119 @t118)) % 0.72/0.99 (define @t121 () (@list @t81)) % 0.72/0.99 (define @t122 () (forall @t121 @t120)) % 0.72/0.99 (define @t123 () (@quantifiers_skolemize @t122 0)) % 0.72/0.99 (define @t124 () (not (= tptp.sk_c10 @t87))) % 0.72/0.99 (define @t125 () (not (= tptp.sk_c10 @t89))) % 0.72/0.99 (define @t126 () (or @t125 @t124)) % 0.72/0.99 (define @t127 () (forall (@list @t86) @t126)) % 0.72/0.99 (define @t128 () (@quantifiers_skolemize @t127 0)) % 0.72/0.99 (define @t129 () (@list @t128)) % 0.72/0.99 (define @t130 () (not (= tptp.sk_c9 @t100))) % 0.72/0.99 (define @t131 () (not (= tptp.sk_c10 @t102))) % 0.72/0.99 (define @t132 () (or @t131 @t130)) % 0.72/0.99 (define @t133 () (forall (@list @t99) @t132)) % 0.72/0.99 (define @t134 () (@quantifiers_skolemize @t133 0)) % 0.72/0.99 (define @t135 () (@list @t134)) % 0.72/0.99 (define @t136 () (tptp.multiply @t116 tptp.sk_c10)) % 0.72/0.99 (define @t137 () (tptp.multiply tptp.sk_c10 @t116)) % 0.72/0.99 (define @t138 () (tptp.multiply @t137 tptp.sk_c10)) % 0.72/0.99 (define @t139 () (tptp.multiply tptp.sk_c10 @t136)) % 0.72/0.99 (define @t140 () (= @t138 @t139)) % 0.72/0.99 (define @t141 () (@list tptp.sk_c10 @t116 tptp.sk_c10)) % 0.72/0.99 (define @t142 () (= @t139 @t138)) % 0.72/0.99 (define @t143 () (@list false)) % 0.72/0.99 (define @t144 () (@list @t9)) % 0.72/0.99 (define @t145 () (tptp.multiply tptp.sk_c9 @t136)) % 0.72/0.99 (define @t146 () (tptp.multiply @t116 @t134)) % 0.72/0.99 (define @t147 () (tptp.multiply @t134 tptp.sk_c10)) % 0.72/0.99 (define @t148 () (tptp.multiply tptp.sk_c9 @t116)) % 0.72/0.99 (define @t149 () (tptp.multiply @t148 @t134)) % 0.72/0.99 (define @t150 () (tptp.multiply tptp.sk_c9 @t146)) % 0.72/0.99 (define @t151 () (= @t149 @t150)) % 0.72/0.99 (define @t152 () (@list tptp.sk_c9 @t116 @t134)) % 0.72/0.99 (define @t153 () (= @t150 @t149)) % 0.72/0.99 (define @t154 () (tptp.inverse @t123)) % 0.72/0.99 (define @t155 () (tptp.multiply @t146 @t154)) % 0.72/0.99 (define @t156 () (tptp.multiply @t134 @t154)) % 0.72/0.99 (define @t157 () (tptp.multiply @t116 @t156)) % 0.72/0.99 (define @t158 () (= @t155 @t157)) % 0.72/0.99 (define @t159 () (@list @t116 @t134 @t154)) % 0.72/0.99 (define @t160 () (= @t157 @t155)) % 0.72/0.99 (define @t161 () (= tptp.sk_c9 @t18)) % 0.72/0.99 (define @t162 () (= tptp.sk_c6 @t21)) % 0.72/0.99 (define @t163 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c5 @t21))) % 0.72/0.99 (define @t164 () (and @t161 @t162)) % 0.72/0.99 (define @t165 () (= tptp.sk_c9 @t24)) % 0.72/0.99 (define @t166 () (= tptp.sk_c9 (tptp.multiply @t21 tptp.sk_c10))) % 0.72/0.99 (define @t167 () (and @t162 @t165)) % 0.72/0.99 (define @t168 () (= tptp.sk_c10 @t10)) % 0.72/0.99 (define @t169 () (= tptp.sk_c9 @t27)) % 0.72/0.99 (define @t170 () (= tptp.sk_c8 @t30)) % 0.72/0.99 (define @t171 () (= tptp.sk_c10 @t33)) % 0.72/0.99 (define @t172 () (tptp.multiply @t33 tptp.sk_c7)) % 0.72/0.99 (define @t173 () (= tptp.identity @t172)) % 0.72/0.99 (define @t174 () (tptp.inverse @t134)) % 0.72/0.99 (define @t175 () (tptp.multiply @t174 @t134)) % 0.72/0.99 (define @t176 () (= tptp.identity @t175)) % 0.72/0.99 (define @t177 () (tptp.multiply tptp.sk_c10 @t30)) % 0.72/0.99 (define @t178 () (tptp.multiply tptp.sk_c10 tptp.sk_c7)) % 0.72/0.99 (define @t179 () (tptp.multiply @t178 tptp.sk_c10)) % 0.72/0.99 (define @t180 () (= @t179 @t177)) % 0.72/0.99 (define @t181 () (tptp.multiply tptp.identity tptp.sk_c10)) % 0.72/0.99 (define @t182 () (= tptp.sk_c10 @t181)) % 0.72/0.99 (define @t183 () (= tptp.sk_c9 @t33)) % 0.72/0.99 (define @t184 () (= tptp.sk_c9 @t10)) % 0.72/0.99 (define @t185 () (and @t168 @t169 @t170 @t171 @t173 @t176 @t180 @t182)) % 0.72/0.99 (define @t186 () (= tptp.sk_c10 @t36)) % 0.72/0.99 (define @t187 () (not @t186)) % 0.72/0.99 (define @t188 () (not @t182)) % 0.72/0.99 (define @t189 () (not @t180)) % 0.72/0.99 (define @t190 () (not @t176)) % 0.72/0.99 (define @t191 () (not @t173)) % 0.72/0.99 (define @t192 () (= tptp.sk_c9 @t12)) % 0.72/0.99 (define @t193 () (not @t171)) % 0.72/0.99 (define @t194 () (not @t170)) % 0.72/0.99 (define @t195 () (not @t169)) % 0.72/0.99 (define @t196 () (not @t192)) % 0.72/0.99 (define @t197 () (and @t169 @t170 @t171 @t196 @t173 @t176 @t180 @t182)) % 0.72/0.99 (define @t198 () (not @t166)) % 0.72/0.99 (define @t199 () (not @t163)) % 0.72/0.99 (define @t200 () (or @t199 @t198)) % 0.72/0.99 (define @t201 () (not @t184)) % 0.72/0.99 (define @t202 () (= tptp.sk_c10 @t15)) % 0.72/0.99 (define @t203 () (not @t202)) % 0.72/0.99 (define @t204 () (or @t203 @t201)) % 0.72/0.99 (define @t205 () (@list tptp.sk_c4)) % 0.72/0.99 (define @t206 () (tptp.multiply @t154 tptp.sk_c10)) % 0.72/0.99 (define @t207 () (= tptp.sk_c9 @t206)) % 0.72/0.99 (define @t208 () (not @t207)) % 0.72/0.99 (define @t209 () (or (not (= tptp.sk_c9 (tptp.multiply @t123 @t154))) @t208)) % 0.72/0.99 (define @t210 () (not @t209)) % 0.72/0.99 (define @t211 () (not @t122)) % 0.72/0.99 (define @t212 () (= tptp.sk_c9 @t174)) % 0.72/0.99 (define @t213 () (not @t212)) % 0.72/0.99 (define @t214 () (tptp.multiply @t134 tptp.sk_c9)) % 0.72/0.99 (define @t215 () (= tptp.sk_c10 @t214)) % 0.72/0.99 (define @t216 () (not @t215)) % 0.72/0.99 (define @t217 () (or @t216 @t213)) % 0.72/0.99 (define @t218 () (not @t217)) % 0.72/0.99 (define @t219 () (not @t133)) % 0.72/0.99 (define @t220 () (tptp.multiply @t12 @t134)) % 0.72/0.99 (define @t221 () (tptp.multiply @t36 tptp.sk_c9)) % 0.72/0.99 (define @t222 () (= tptp.identity @t221)) % 0.72/0.99 (define @t223 () (tptp.multiply @t174 @t147)) % 0.72/0.99 (define @t224 () (= (tptp.multiply @t175 tptp.sk_c10) @t223)) % 0.72/0.99 (define @t225 () (tptp.multiply @t134 @t206)) % 0.72/0.99 (define @t226 () (tptp.multiply @t12 @t225)) % 0.72/0.99 (define @t227 () (tptp.multiply @t220 @t206)) % 0.72/0.99 (define @t228 () (= @t227 @t226)) % 0.72/0.99 (define @t229 () (tptp.multiply tptp.identity @t134)) % 0.72/0.99 (define @t230 () (= @t134 @t229)) % 0.72/0.99 (define @t231 () (tptp.multiply @t206 tptp.sk_c10)) % 0.72/0.99 (define @t232 () (tptp.multiply @t220 @t231)) % 0.72/0.99 (define @t233 () (tptp.multiply @t227 tptp.sk_c10)) % 0.72/0.99 (define @t234 () (= @t233 @t232)) % 0.72/0.99 (define @t235 () (tptp.multiply tptp.sk_c9 tptp.sk_c7)) % 0.72/0.99 (define @t236 () (and @t169 @t170 @t171 @t207 @t215 @t212 @t222 @t173 @t176 @t180 @t182 @t224 @t228 @t230 @t234)) % 0.72/0.99 (define @t237 () (not @t234)) % 0.72/0.99 (define @t238 () (not @t230)) % 0.72/0.99 (define @t239 () (not @t228)) % 0.72/0.99 (define @t240 () (not @t222)) % 0.72/0.99 (define @t241 () (tptp.multiply @t116 @t154)) % 0.72/0.99 (define @t242 () (tptp.multiply @t145 @t116)) % 0.72/0.99 (define @t243 () (tptp.multiply @t242 @t134)) % 0.72/0.99 (define @t244 () (tptp.multiply @t145 @t146)) % 0.72/0.99 (define @t245 () (= @t243 @t244)) % 0.72/0.99 (define @t246 () (= @t244 @t243)) % 0.72/0.99 (define @t247 () (tptp.multiply tptp.sk_c10 (tptp.multiply @t136 @t147))) % 0.72/0.99 (define @t248 () (tptp.multiply @t247 @t116)) % 0.72/0.99 (define @t249 () (tptp.multiply @t248 tptp.sk_c10)) % 0.72/0.99 (define @t250 () (tptp.multiply @t247 @t136)) % 0.72/0.99 (define @t251 () (= @t249 @t250)) % 0.72/0.99 (define @t252 () (= @t250 @t249)) % 0.72/0.99 (define @t253 () (tptp.multiply @t116 @t116)) % 0.72/0.99 (define @t254 () (tptp.multiply (tptp.multiply tptp.sk_c10 @t128) @t154)) % 0.72/0.99 (define @t255 () (tptp.multiply @t128 @t154)) % 0.72/0.99 (define @t256 () (tptp.multiply tptp.sk_c10 @t255)) % 0.72/0.99 (define @t257 () (= @t254 @t256)) % 0.72/0.99 (define @t258 () (@list tptp.sk_c10 @t128 @t154)) % 0.72/0.99 (define @t259 () (= @t256 @t254)) % 0.72/0.99 (define @t260 () (= tptp.sk_c9 @t46)) % 0.72/0.99 (define @t261 () (= tptp.sk_c3 @t53)) % 0.72/0.99 (define @t262 () (= tptp.sk_c10 @t60)) % 0.72/0.99 (define @t263 () (not @t262)) % 0.72/0.99 (define @t264 () (tptp.multiply tptp.sk_c10 @t53)) % 0.72/0.99 (define @t265 () (= tptp.sk_c9 @t264)) % 0.72/0.99 (define @t266 () (not @t265)) % 0.72/0.99 (define @t267 () (or @t266 @t263)) % 0.72/0.99 (define @t268 () (not @t267)) % 0.72/0.99 (define @t269 () (and @t260 @t261)) % 0.72/0.99 (define @t270 () (@list false false)) % 0.72/0.99 (define @t271 () (tptp.multiply tptp.sk_c10 tptp.sk_c2)) % 0.72/0.99 (define @t272 () (tptp.multiply @t271 tptp.sk_c10)) % 0.72/0.99 (define @t273 () (= @t272 @t264)) % 0.72/0.99 (define @t274 () (not @t273)) % 0.72/0.99 (define @t275 () (tptp.multiply tptp.identity tptp.sk_c2)) % 0.72/0.99 (define @t276 () (= tptp.sk_c2 @t275)) % 0.72/0.99 (define @t277 () (not @t276)) % 0.72/0.99 (define @t278 () (tptp.multiply @t60 tptp.sk_c2)) % 0.72/0.99 (define @t279 () (= tptp.identity @t278)) % 0.72/0.99 (define @t280 () (not @t279)) % 0.72/0.99 (define @t281 () (not @t168)) % 0.72/0.99 (define @t282 () (not @t266)) % 0.72/0.99 (define @t283 () (tptp.multiply @t60 @t275)) % 0.72/0.99 (define @t284 () (and @t168 @t262 @t279 @t176 @t182 @t276 @t273 @t266)) % 0.72/0.99 (define @t285 () (tptp.multiply @t154 @t134)) % 0.72/0.99 (define @t286 () (tptp.multiply @t285 @t154)) % 0.72/0.99 (define @t287 () (tptp.multiply @t154 @t156)) % 0.72/0.99 (define @t288 () (= @t286 @t287)) % 0.72/0.99 (define @t289 () (@list @t154 @t134 @t154)) % 0.72/0.99 (define @t290 () (= @t287 @t286)) % 0.72/0.99 (define @t291 () (tptp.multiply @t286 tptp.sk_c10)) % 0.72/0.99 (define @t292 () (tptp.multiply @t285 @t206)) % 0.72/0.99 (define @t293 () (= @t291 @t292)) % 0.72/0.99 (define @t294 () (@list @t285 @t154 tptp.sk_c10)) % 0.72/0.99 (define @t295 () (= @t292 @t291)) % 0.72/0.99 (define @t296 () (tptp.multiply @t12 tptp.sk_c10)) % 0.72/0.99 (define @t297 () (= tptp.identity @t296)) % 0.72/0.99 (define @t298 () (tptp.multiply @t156 tptp.sk_c10)) % 0.72/0.99 (define @t299 () (= @t298 @t225)) % 0.72/0.99 (define @t300 () (tptp.multiply @t154 @t298)) % 0.72/0.99 (define @t301 () (= (tptp.multiply @t287 tptp.sk_c10) @t300)) % 0.72/0.99 (define @t302 () (tptp.multiply tptp.identity @t174)) % 0.72/0.99 (define @t303 () (= @t174 @t302)) % 0.72/0.99 (define @t304 () (tptp.multiply @t285 tptp.sk_c9)) % 0.72/0.99 (define @t305 () (tptp.multiply @t220 @t304)) % 0.72/0.99 (define @t306 () (tptp.multiply @t12 @t298)) % 0.72/0.99 (define @t307 () (tptp.multiply tptp.sk_c9 tptp.sk_c10)) % 0.72/0.99 (define @t308 () (tptp.multiply @t226 tptp.sk_c10)) % 0.72/0.99 (define @t309 () (= tptp.sk_c10 @t12)) % 0.72/0.99 (define @t310 () (and @t192 @t207 @t215 @t212 @t297 @t176 @t299 @t182 @t301 @t228 @t234 @t290 @t295 @t303)) % 0.72/0.99 (define @t311 () (not @t297)) % 0.72/0.99 (define @t312 () (tptp.multiply tptp.sk_c10 @t12)) % 0.72/0.99 (define @t313 () (tptp.multiply tptp.sk_c10 tptp.sk_c10)) % 0.72/0.99 (define @t314 () (tptp.multiply @t225 tptp.sk_c10)) % 0.72/0.99 (define @t315 () (tptp.multiply tptp.sk_c10 tptp.sk_c9)) % 0.72/0.99 (define @t316 () (= tptp.sk_c10 @t315)) % 0.72/0.99 (define @t317 () (tptp.multiply @t12 @t314)) % 0.72/0.99 (define @t318 () (= @t308 @t317)) % 0.72/0.99 (define @t319 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 @t313))) % 0.72/0.99 (define @t320 () (and @t192 @t207 @t215 @t212 @t297 @t176 @t299 @t182 @t301 @t228 @t234 @t290 @t295 @t318 @t303)) % 0.72/0.99 (define @t321 () (not @t316)) % 0.72/0.99 (define @t322 () (not @t309)) % 0.72/0.99 (define @t323 () (or @t322 @t321)) % 0.72/0.99 (define @t324 () (not @t319)) % 0.72/0.99 (define @t325 () (or @t324 @t322)) % 0.72/0.99 (define @t326 () (not @t115)) % 0.72/0.99 (define @t327 () (not (= tptp.sk_c10 @t71))) % 0.72/0.99 (define @t328 () (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c10 @t74)))) % 0.72/0.99 (define @t329 () (or @t328 @t327)) % 0.72/0.99 (define @t330 () (@list @t70)) % 0.72/0.99 (define @t331 () (forall @t330 @t329)) % 0.72/0.99 (define @t332 () (not (= @t74 @t74))) % 0.72/0.99 (define @t333 () (or @t328 @t332 @t327)) % 0.72/0.99 (define @t334 () (not (= @t73 @t74))) % 0.72/0.99 (define @t335 () (not (= tptp.sk_c9 @t76))) % 0.72/0.99 (define @t336 () (or @t334 @t335 @t334 @t327)) % 0.72/0.99 (define @t337 () (@list @t73)) % 0.72/0.99 (define @t338 () (or @t335 @t334 @t327)) % 0.72/0.99 (define @t339 () (forall @t337 @t338)) % 0.72/0.99 (define @t340 () (forall @t330 @t339)) % 0.72/0.99 (define @t341 () (forall (@list @t70 @t73) @t338)) % 0.72/0.99 (define @t342 () (forall (@list @t73 @t70) @t338)) % 0.72/0.99 (define @t343 () (not (= @t82 @t82))) % 0.72/0.99 (define @t344 () (or @t119 @t343 @t118)) % 0.72/0.99 (define @t345 () (not (= tptp.sk_c9 @t79))) % 0.72/0.99 (define @t346 () (not (= @t78 @t82))) % 0.72/0.99 (define @t347 () (not (= tptp.sk_c9 @t84))) % 0.72/0.99 (define @t348 () (or @t346 @t347 @t346 @t345)) % 0.72/0.99 (define @t349 () (@list @t78)) % 0.72/0.99 (define @t350 () (or @t347 @t346 @t345)) % 0.72/0.99 (define @t351 () (forall @t349 @t350)) % 0.72/0.99 (define @t352 () (forall @t121 @t351)) % 0.72/0.99 (define @t353 () (forall (@list @t81 @t78) @t350)) % 0.72/0.99 (define @t354 () (not (= @t95 @t95))) % 0.72/0.99 (define @t355 () (or @t112 @t354 @t111)) % 0.72/0.99 (define @t356 () (not (= @t94 @t95))) % 0.72/0.99 (define @t357 () (not (= tptp.sk_c9 @t97))) % 0.72/0.99 (define @t358 () (or @t356 @t357 @t356 @t111)) % 0.72/0.99 (define @t359 () (@list @t94)) % 0.72/0.99 (define @t360 () (or @t357 @t356 @t111)) % 0.72/0.99 (define @t361 () (forall @t359 @t360)) % 0.72/0.99 (define @t362 () (forall @t114 @t361)) % 0.72/0.99 (define @t363 () (forall (@list @t91 @t94) @t360)) % 0.72/0.99 (define @t364 () (forall (@list @t94 @t91) @t360)) % 0.72/0.99 (define @t365 () (or @t196 @t187 @t133 @t364 @t127 @t353 @t342)) % 0.72/0.99 (define @t366 () (or @t196 @t187 @t132 @t360 @t126 @t350 @t338)) % 0.72/0.99 (define @t367 () (or @t196 @t187 @t131 @t130 @t357 @t356 @t111 @t125 @t124 @t347 @t346 @t345 @t335 @t334 @t327)) % 0.72/0.99 (define @t368 () (@list false true)) % 0.72/0.99 (define @t369 () (@list true)) % 0.72/0.99 (define @t370 () (@list @t267)) % 0.72/0.99 (define @t371 () (tptp.inverse @t116)) % 0.72/0.99 (define @t372 () (= tptp.sk_c10 @t371)) % 0.72/0.99 (define @t373 () (not @t372)) % 0.72/0.99 (define @t374 () (= tptp.sk_c9 @t139)) % 0.72/0.99 (define @t375 () (not @t374)) % 0.72/0.99 (define @t376 () (or @t375 @t373)) % 0.72/0.99 (define @t377 () (not @t376)) % 0.72/0.99 (define @t378 () (@list @t376)) % 0.72/0.99 (define @t379 () (and @t192 @t262 @t279 @t176 @t182 @t276 @t273 @t265)) % 0.72/0.99 (define @t380 () (tptp.multiply @t371 @t116)) % 0.72/0.99 (define @t381 () (= tptp.identity @t380)) % 0.72/0.99 (define @t382 () (and @t192 @t374 @t372 @t381 @t176 @t142 @t182)) % 0.72/0.99 (define @t383 () (tptp.inverse @t128)) % 0.72/0.99 (define @t384 () (= tptp.sk_c10 @t383)) % 0.72/0.99 (define @t385 () (= tptp.sk_c10 (tptp.multiply @t128 tptp.sk_c9))) % 0.72/0.99 (define @t386 () (not @t385)) % 0.72/0.99 (define @t387 () (not @t384)) % 0.72/0.99 (define @t388 () (or @t387 @t386)) % 0.72/0.99 (define @t389 () (not @t386)) % 0.72/0.99 (define @t390 () (= tptp.sk_c9 @t383)) % 0.72/0.99 (define @t391 () (not @t390)) % 0.72/0.99 (define @t392 () (or @t386 @t391)) % 0.72/0.99 (define @t393 () (not @t392)) % 0.72/0.99 (define @t394 () (and @t192 @t374 @t372 @t384 @t381 @t176 @t142 @t182)) % 0.72/0.99 (define @t395 () (not @t388)) % 0.72/0.99 (define @t396 () (not @t127)) % 0.72/0.99 (define @t397 () (or @t281 @t203)) % 0.72/0.99 (define @t398 () (= tptp.sk_c9 @t296)) % 0.72/0.99 (define @t399 () (not @t398)) % 0.72/0.99 (define @t400 () (not @t142)) % 0.72/0.99 (define @t401 () (not @t381)) % 0.72/0.99 (define @t402 () (and @t192 @t186 @t374 @t372 @t297 @t222 @t381 @t176 @t142 @t182 @t321)) % 0.72/0.99 (define @t403 () (= tptp.sk_c10 @t38)) % 0.72/0.99 (define @t404 () (= tptp.sk_c9 @t42)) % 0.72/0.99 (define @t405 () (tptp.multiply @t42 tptp.sk_c1)) % 0.72/0.99 (define @t406 () (= tptp.identity @t405)) % 0.72/0.99 (define @t407 () (tptp.multiply @t60 @t38)) % 0.72/0.99 (define @t408 () (tptp.multiply @t60 tptp.sk_c1)) % 0.72/0.99 (define @t409 () (= (tptp.multiply @t408 tptp.sk_c9) @t407)) % 0.72/0.99 (define @t410 () (and @t192 @t186 @t403 @t404 @t262 @t374 @t372 @t297 @t222 @t406 @t381 @t176 @t142 @t182 @t409)) % 0.72/0.99 (define @t411 () (@list @t392)) % 0.72/0.99 (define @t412 () (@list @t133)) % 0.72/0.99 (define @t413 () (= tptp.sk_c9 @t312)) % 0.72/0.99 (define @t414 () (not @t413)) % 0.72/0.99 (define @t415 () (or @t414 @t399)) % 0.72/0.99 (define @t416 () (not @t415)) % 0.72/0.99 (define @t417 () (and @t192 @t186 @t297 @t222 @t398)) % 0.72/0.99 (define @t418 () (tptp.multiply @t154 @t123)) % 0.72/0.99 (define @t419 () (= tptp.identity @t418)) % 0.72/0.99 (define @t420 () (tptp.multiply @t383 @t128)) % 0.72/0.99 (define @t421 () (= tptp.identity @t420)) % 0.72/0.99 (define @t422 () (tptp.multiply @t134 @t145)) % 0.72/0.99 (define @t423 () (tptp.multiply @t214 @t136)) % 0.72/0.99 (define @t424 () (= @t423 @t422)) % 0.72/0.99 (define @t425 () (tptp.multiply @t146 @t422)) % 0.72/0.99 (define @t426 () (= (tptp.multiply (tptp.multiply @t146 @t134) @t145) @t425)) % 0.72/0.99 (define @t427 () (tptp.multiply @t146 tptp.sk_c9)) % 0.72/0.99 (define @t428 () (tptp.multiply @t150 tptp.sk_c9)) % 0.72/0.99 (define @t429 () (= @t428 (tptp.multiply tptp.sk_c9 @t427))) % 0.72/0.99 (define @t430 () (tptp.multiply @t139 @t147)) % 0.72/0.99 (define @t431 () (= @t430 @t247)) % 0.72/0.99 (define @t432 () (= @t116 (tptp.multiply tptp.identity @t116))) % 0.72/0.99 (define @t433 () (tptp.multiply tptp.identity @t154)) % 0.72/0.99 (define @t434 () (= @t154 @t433)) % 0.72/0.99 (define @t435 () (= @t128 (tptp.multiply tptp.identity @t128))) % 0.72/0.99 (define @t436 () (tptp.multiply tptp.sk_c10 @t241)) % 0.72/0.99 (define @t437 () (tptp.multiply @t137 @t154)) % 0.72/0.99 (define @t438 () (= @t437 @t436)) % 0.72/0.99 (define @t439 () (tptp.multiply tptp.sk_c10 @t253)) % 0.72/0.99 (define @t440 () (tptp.multiply @t137 @t116)) % 0.72/0.99 (define @t441 () (= @t440 @t439)) % 0.72/0.99 (define @t442 () (tptp.multiply tptp.sk_c10 (tptp.multiply @t116 @t128))) % 0.72/0.99 (define @t443 () (tptp.multiply @t137 @t128)) % 0.72/0.99 (define @t444 () (= @t443 @t442)) % 0.72/0.99 (define @t445 () (= tptp.identity (tptp.multiply (tptp.inverse @t60) @t60))) % 0.72/0.99 (define @t446 () (tptp.multiply @t436 @t123)) % 0.72/0.99 (define @t447 () (= @t446 (tptp.multiply tptp.sk_c10 (tptp.multiply @t241 @t123)))) % 0.72/0.99 (define @t448 () (tptp.multiply @t148 @t214)) % 0.72/0.99 (define @t449 () (tptp.multiply @t149 tptp.sk_c9)) % 0.72/0.99 (define @t450 () (= @t449 @t448)) % 0.72/0.99 (define @t451 () (tptp.multiply @t146 @t145)) % 0.72/0.99 (define @t452 () (= @t451 (tptp.multiply @t116 @t422))) % 0.72/0.99 (define @t453 () (tptp.multiply @t147 @t147)) % 0.72/0.99 (define @t454 () (tptp.multiply @t139 @t453)) % 0.72/0.99 (define @t455 () (= (tptp.multiply @t430 @t147) @t454)) % 0.72/0.99 (define @t456 () (tptp.multiply @t147 @t136)) % 0.72/0.99 (define @t457 () (tptp.multiply @t139 @t456)) % 0.72/0.99 (define @t458 () (= (tptp.multiply @t430 @t136) @t457)) % 0.72/0.99 (define @t459 () (tptp.multiply @t147 @t241)) % 0.72/0.99 (define @t460 () (= @t459 (tptp.multiply @t134 @t436))) % 0.72/0.99 (define @t461 () (tptp.multiply @t128 tptp.sk_c10)) % 0.72/0.99 (define @t462 () (tptp.multiply @t461 @t241)) % 0.72/0.99 (define @t463 () (= @t462 (tptp.multiply @t128 @t436))) % 0.72/0.99 (define @t464 () (tptp.multiply @t146 @t436)) % 0.72/0.99 (define @t465 () (= (tptp.multiply (tptp.multiply @t146 tptp.sk_c10) @t241) @t464)) % 0.72/0.99 (define @t466 () (tptp.multiply @t461 @t253)) % 0.72/0.99 (define @t467 () (= @t466 (tptp.multiply @t128 @t439))) % 0.72/0.99 (define @t468 () (tptp.multiply @t307 @t241)) % 0.72/0.99 (define @t469 () (= @t468 (tptp.multiply tptp.sk_c9 @t436))) % 0.72/0.99 (define @t470 () (tptp.multiply @t148 tptp.sk_c10)) % 0.72/0.99 (define @t471 () (tptp.multiply @t145 @t136)) % 0.72/0.99 (define @t472 () (tptp.multiply tptp.sk_c10 @t427)) % 0.72/0.99 (define @t473 () (and @t192 @t262 @t374 @t372 @t385 @t215 @t297 @t279 @t381 @t419 @t421 @t176 @t424 @t142 @t182 @t426 @t429 @t230 @t431 @t153 @t160 @t432 @t434 @t435 @t438 @t441 @t444 @t390 @t445 @t276 @t447 @t450 @t452 @t455 @t458 @t273 @t460 @t463 @t465 @t246 @t252 @t467 @t259 @t469 @t265)) % 0.72/0.99 (assume @p1 @t4) % 0.72/0.99 (assume @p2 @t6) % 0.72/0.99 (assume @p3 @t9) % 0.72/0.99 (assume @p4 @t14) % 0.72/0.99 (assume @p5 @t17) % 0.72/0.99 (assume @p6 @t20) % 0.72/0.99 (assume @p7 @t23) % 0.72/0.99 (assume @p8 @t26) % 0.72/0.99 (assume @p9 @t29) % 0.72/0.99 (assume @p10 @t32) % 0.72/0.99 (assume @p11 @t35) % 0.72/0.99 (assume @p12 (or @t37 @t11)) % 0.72/0.99 (assume @p13 (or @t37 @t16)) % 0.72/0.99 (assume @p14 (or @t37 @t19)) % 0.72/0.99 (assume @p15 (or @t37 @t22)) % 0.72/0.99 (assume @p16 (or @t37 @t25)) % 0.72/0.99 (assume @p17 (or @t37 @t28)) % 0.72/0.99 (assume @p18 (or @t37 @t31)) % 0.72/0.99 (assume @p19 (or @t37 @t34)) % 0.72/0.99 (assume @p20 @t40) % 0.72/0.99 (assume @p21 @t41) % 0.72/0.99 (assume @p22 (or @t39 @t19)) % 0.72/0.99 (assume @p23 (or @t39 @t22)) % 0.72/0.99 (assume @p24 (or @t39 @t25)) % 0.72/0.99 (assume @p25 (or @t39 @t28)) % 0.72/0.99 (assume @p26 (or @t39 @t31)) % 0.72/0.99 (assume @p27 (or @t39 @t34)) % 0.72/0.99 (assume @p28 @t44) % 0.72/0.99 (assume @p29 @t45) % 0.72/0.99 (assume @p30 (or @t43 @t19)) % 0.72/0.99 (assume @p31 (or @t43 @t22)) % 0.72/0.99 (assume @p32 (or @t43 @t25)) % 0.72/0.99 (assume @p33 (or @t43 @t28)) % 0.72/0.99 (assume @p34 (or @t43 @t31)) % 0.72/0.99 (assume @p35 (or @t43 @t34)) % 0.72/0.99 (assume @p36 @t48) % 0.72/0.99 (assume @p37 @t49) % 0.72/0.99 (assume @p38 (or @t47 @t19)) % 0.72/0.99 (assume @p39 (or @t47 @t22)) % 0.72/0.99 (assume @p40 (or @t47 @t25)) % 0.72/0.99 (assume @p41 @t50) % 0.72/0.99 (assume @p42 @t51) % 0.72/0.99 (assume @p43 @t52) % 0.72/0.99 (assume @p44 @t55) % 0.72/0.99 (assume @p45 @t56) % 0.72/0.99 (assume @p46 (or @t54 @t19)) % 0.72/0.99 (assume @p47 (or @t54 @t22)) % 0.72/0.99 (assume @p48 (or @t54 @t25)) % 0.72/0.99 (assume @p49 @t57) % 0.72/0.99 (assume @p50 @t58) % 0.72/0.99 (assume @p51 @t59) % 0.72/0.99 (assume @p52 @t62) % 0.72/0.99 (assume @p53 @t63) % 0.72/0.99 (assume @p54 @t64) % 0.72/0.99 (assume @p55 @t65) % 0.72/0.99 (assume @p56 @t66) % 0.72/0.99 (assume @p57 @t67) % 0.72/0.99 (assume @p58 @t68) % 0.72/0.99 (assume @p59 @t69) % 0.72/0.99 (assume @p60 @t108) % 0.72/0.99 (step @p61 :rule eq-symm :args (@t5 tptp.identity)) % 0.72/0.99 (step @p62 :rule cong :premises (@p61) :args (@t6)) % 0.72/0.99 (step @p63 :rule eq_resolve :premises (@p2 @p62)) % 0.72/0.99 (step @p64 :rule instantiate :premises (@p63) :args (@t109)) % 0.72/0.99 (step @p65 :rule instantiate :premises (@p63) :args (@t110)) % 0.72/0.99 (step @p66 :rule instantiate :premises (@p63) :args (@t117)) % 0.72/0.99 (step @p67 :rule instantiate :premises (@p63) :args ((@list @t123))) % 0.72/0.99 (step @p68 :rule instantiate :premises (@p63) :args (@t129)) % 0.72/0.99 (step @p69 :rule instantiate :premises (@p63) :args (@t135)) % 0.72/0.99 (step @p70 :rule instantiate :premises (@p3) :args ((@list @t134 tptp.sk_c9 @t136))) % 0.72/0.99 (step @p71 :rule eq-symm :args (@t138 @t139)) % 0.72/0.99 (step @p72 :rule refl :args (@t9)) % 0.72/0.99 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t9 @t140))) % 0.72/0.99 (assume-push @p2104 @t9) % 0.72/0.99 (step @p75 :rule instantiate :premises (@p3) :args (@t141)) % 0.72/0.99 (step-pop @p2105 :rule scope :premises (@p75)) % 0.72/0.99 (step @p76 :rule process_scope :premises (@p2105) :args (@t140)) % 0.72/0.99 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.72/0.99 (step @p79 :rule implies_elim :premises (@p78)) % 0.72/0.99 (step @p80 :rule chain_m_resolution :premises (@p79 @p3) :args (@t142 @t143 @t144)) % 0.72/0.99 (step @p81 :rule eq-symm :args (@t2 @t1)) % 0.72/0.99 (step @p82 :rule cong :premises (@p81) :args (@t4)) % 0.72/0.99 (step @p83 :rule eq_resolve :premises (@p1 @p82)) % 0.72/0.99 (step @p84 :rule instantiate :premises (@p83) :args (@t109)) % 0.72/0.99 (step @p85 :rule instantiate :premises (@p3) :args ((@list @t146 @t134 @t145))) % 0.72/0.99 (step @p86 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c9 @t146 tptp.sk_c9))) % 0.72/0.99 (step @p87 :rule instantiate :premises (@p83) :args (@t135)) % 0.72/0.99 (step @p88 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c10 @t136 @t147))) % 0.72/0.99 (step @p89 :rule eq-symm :args (@t149 @t150)) % 0.72/0.99 (step @p90 :rule cong :premises (@p72 @p89) :args ((=> @t9 @t151))) % 0.72/0.99 (assume-push @p2106 @t9) % 0.72/0.99 (step @p92 :rule instantiate :premises (@p3) :args (@t152)) % 0.72/0.99 (step-pop @p2107 :rule scope :premises (@p92)) % 0.72/0.99 (step @p93 :rule process_scope :premises (@p2107) :args (@t151)) % 0.72/0.99 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 0.72/0.99 (step @p96 :rule implies_elim :premises (@p95)) % 0.72/0.99 (step @p97 :rule chain_m_resolution :premises (@p96 @p3) :args (@t153 @t143 @t144)) % 0.72/0.99 (step @p98 :rule eq-symm :args (@t155 @t157)) % 0.72/0.99 (step @p99 :rule cong :premises (@p72 @p98) :args ((=> @t9 @t158))) % 0.72/0.99 (assume-push @p2108 @t9) % 0.72/0.99 (step @p101 :rule instantiate :premises (@p3) :args (@t159)) % 0.72/0.99 (step-pop @p2109 :rule scope :premises (@p101)) % 0.72/0.99 (step @p102 :rule process_scope :premises (@p2109) :args (@t158)) % 0.72/0.99 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 0.72/0.99 (step @p105 :rule implies_elim :premises (@p104)) % 0.72/0.99 (step @p106 :rule chain_m_resolution :premises (@p105 @p3) :args (@t160 @t143 @t144)) % 0.72/0.99 (step @p107 :rule instantiate :premises (@p83) :args (@t117)) % 0.72/0.99 (step @p108 :rule instantiate :premises (@p83) :args ((@list @t154))) % 0.72/0.99 (step @p109 :rule instantiate :premises (@p83) :args (@t129)) % 0.72/0.99 (step @p110 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c10 @t116 @t154))) % 0.72/0.99 (step @p111 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c10 @t116 @t116))) % 0.72/0.99 (step @p112 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c10 @t116 @t128))) % 0.72/0.99 (step @p113 :rule eq-symm :args (@t10 tptp.sk_c10)) % 0.72/0.99 (step @p114 :rule eq-symm :args (@t12 tptp.sk_c9)) % 0.72/0.99 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t14)) % 0.72/0.99 (step @p116 :rule eq_resolve :premises (@p4 @p115)) % 0.72/0.99 (step @p117 :rule eq-symm :args (@t15 tptp.sk_c10)) % 0.72/0.99 (step @p118 :rule nary_cong :premises (@p114 @p117) :args (@t17)) % 0.72/0.99 (step @p119 :rule eq_resolve :premises (@p5 @p118)) % 0.72/0.99 (step @p120 :rule eq-symm :args (@t18 tptp.sk_c9)) % 0.72/0.99 (step @p121 :rule nary_cong :premises (@p114 @p120) :args (@t20)) % 0.72/0.99 (step @p122 :rule eq_resolve :premises (@p6 @p121)) % 0.72/0.99 (step @p123 :rule eq-symm :args (@t21 tptp.sk_c6)) % 0.72/0.99 (step @p124 :rule nary_cong :premises (@p114 @p123) :args (@t23)) % 0.72/0.99 (step @p125 :rule eq_resolve :premises (@p7 @p124)) % 0.72/0.99 (step @p126 :rule eq-symm :args (@t24 tptp.sk_c9)) % 0.72/0.99 (step @p127 :rule nary_cong :premises (@p114 @p126) :args (@t26)) % 0.72/0.99 (step @p128 :rule eq_resolve :premises (@p8 @p127)) % 0.72/0.99 (step @p129 :rule eq-symm :args (@t27 tptp.sk_c9)) % 0.72/0.99 (step @p130 :rule nary_cong :premises (@p114 @p129) :args (@t29)) % 0.72/0.99 (step @p131 :rule eq_resolve :premises (@p9 @p130)) % 0.72/0.99 (step @p132 :rule eq-symm :args (@t30 tptp.sk_c8)) % 0.72/0.99 (step @p133 :rule nary_cong :premises (@p114 @p132) :args (@t32)) % 0.72/0.99 (step @p134 :rule eq_resolve :premises (@p10 @p133)) % 0.72/0.99 (step @p135 :rule eq-symm :args (@t33 tptp.sk_c10)) % 0.72/0.99 (step @p136 :rule nary_cong :premises (@p114 @p135) :args (@t35)) % 0.72/0.99 (step @p137 :rule eq_resolve :premises (@p11 @p136)) % 0.72/0.99 (assume-push @p2110 @t161) % 0.72/0.99 (assume-push @p2111 @t162) % 0.72/0.99 (assume-push @p2112 @t162) % 0.72/0.99 (assume-push @p2113 @t161) % 0.72/0.99 (step @p142 :rule refl :args (tptp.sk_c5)) % 0.72/0.99 (step @p143 :rule cong :premises (@p142 @p2111) :args (@t18)) % 0.72/0.99 (step @p144 :rule trans :premises (@p2110 @p143)) % 0.72/0.99 (step-pop @p2114 :rule scope :premises (@p144)) % 0.72/0.99 (step-pop @p2115 :rule scope :premises (@p2114)) % 0.72/0.99 (step @p145 :rule process_scope :premises (@p2115) :args (@t163)) % 0.72/0.99 (step @p148 :rule and_intro :premises (@p2111 @p2110)) % 0.72/0.99 (step @p149 :rule modus_ponens :premises (@p148 @p145)) % 0.72/0.99 (step-pop @p2116 :rule scope :premises (@p149)) % 0.72/0.99 (step-pop @p2117 :rule scope :premises (@p2116)) % 0.72/0.99 (step @p150 :rule process_scope :premises (@p2117) :args (@t163)) % 0.72/0.99 (step @p153 :rule implies_elim :premises (@p150)) % 0.72/0.99 (step @p154 :rule cnf_and_neg :args (@t164)) % 0.72/0.99 (step @p155 :rule resolution :premises (@p154 @p153) :args (true @t164)) % 0.72/0.99 (assume-push @p2118 @t162) % 0.72/0.99 (assume-push @p2119 @t165) % 0.72/0.99 (assume-push @p2120 @t162) % 0.72/0.99 (assume-push @p2121 @t165) % 0.72/0.99 (step @p160 :rule refl :args (tptp.sk_c10)) % 0.72/0.99 (step @p161 :rule cong :premises (@p2118 @p160) :args (@t24)) % 0.72/0.99 (step @p162 :rule trans :premises (@p2119 @p161)) % 0.72/0.99 (step-pop @p2122 :rule scope :premises (@p162)) % 0.72/0.99 (step-pop @p2123 :rule scope :premises (@p2122)) % 0.72/0.99 (step @p163 :rule process_scope :premises (@p2123) :args (@t166)) % 0.72/0.99 (step @p166 :rule and_intro :premises (@p2118 @p2119)) % 0.72/0.99 (step @p167 :rule modus_ponens :premises (@p166 @p163)) % 0.72/0.99 (step-pop @p2124 :rule scope :premises (@p167)) % 0.72/0.99 (step-pop @p2125 :rule scope :premises (@p2124)) % 0.72/0.99 (step @p168 :rule process_scope :premises (@p2125) :args (@t166)) % 0.72/0.99 (step @p171 :rule implies_elim :premises (@p168)) % 0.72/0.99 (step @p172 :rule cnf_and_neg :args (@t167)) % 0.72/0.99 (step @p173 :rule resolution :premises (@p172 @p171) :args (true @t167)) % 0.72/0.99 (step @p174 :rule instantiate :premises (@p63) :args ((@list tptp.sk_c7))) % 0.72/0.99 (step @p175 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c10 tptp.sk_c7 tptp.sk_c10))) % 0.72/0.99 (assume-push @p2126 @t168) % 0.72/0.99 (assume-push @p2127 @t169) % 0.72/0.99 (assume-push @p2128 @t170) % 0.72/0.99 (assume-push @p2129 @t171) % 0.72/0.99 (assume-push @p2130 @t173) % 0.72/0.99 (assume-push @p2131 @t176) % 0.72/0.99 (assume-push @p2132 @t180) % 0.72/0.99 (assume-push @p2133 @t182) % 0.72/0.99 (assume-push @p2134 @t168) % 0.72/0.99 (assume-push @p2135 @t171) % 0.72/0.99 (assume-push @p2136 @t183) % 0.72/0.99 (step @p187 :rule symm :premises (@p2129)) % 0.72/0.99 (step @p188 :rule trans :premises (@p2136 @p187 @p2126)) % 0.72/0.99 (step-pop @p2137 :rule scope :premises (@p188)) % 0.72/0.99 (step-pop @p2138 :rule scope :premises (@p2137)) % 0.72/0.99 (step-pop @p2139 :rule scope :premises (@p2138)) % 0.72/0.99 (step @p189 :rule process_scope :premises (@p2139) :args (@t184)) % 0.72/0.99 (assume-push @p2140 @t171) % 0.72/0.99 (assume-push @p2141 @t182) % 0.72/0.99 (assume-push @p2142 @t176) % 0.72/0.99 (assume-push @p2143 @t173) % 0.72/0.99 (assume-push @p2144 @t180) % 0.72/0.99 (assume-push @p2145 @t170) % 0.72/0.99 (assume-push @p2146 @t169) % 0.72/0.99 (step @p200 :rule symm :premises (@p84)) % 0.72/0.99 (step @p160 :rule refl :args (tptp.sk_c10)) % 0.72/0.99 (step @p201 :rule symm :premises (@p69)) % 0.72/0.99 (step @p202 :rule symm :premises (@p174)) % 0.72/0.99 (step @p203 :rule refl :args (tptp.sk_c7)) % 0.72/0.99 (step @p204 :rule cong :premises (@p2129 @p203) :args (@t178)) % 0.72/0.99 (step @p205 :rule trans :premises (@p204 @p202 @p69)) % 0.72/0.99 (step @p206 :rule trans :premises (@p205 @p201)) % 0.72/0.99 (step @p207 :rule cong :premises (@p206 @p160) :args (@t179)) % 0.72/0.99 (step @p208 :rule symm :premises (@p175)) % 0.72/0.99 (step @p209 :rule cong :premises (@p160 @p2128) :args (@t27)) % 0.72/0.99 (step @p210 :rule trans :premises (@p2127 @p209 @p208 @p207 @p200 @p2129)) % 0.72/0.99 (step-pop @p2147 :rule scope :premises (@p210)) % 0.72/0.99 (step-pop @p2148 :rule scope :premises (@p2147)) % 0.72/0.99 (step-pop @p2149 :rule scope :premises (@p2148)) % 0.72/0.99 (step-pop @p2150 :rule scope :premises (@p2149)) % 0.72/0.99 (step-pop @p2151 :rule scope :premises (@p2150)) % 0.72/0.99 (step-pop @p2152 :rule scope :premises (@p2151)) % 0.72/0.99 (step-pop @p2153 :rule scope :premises (@p2152)) % 0.72/0.99 (step @p211 :rule process_scope :premises (@p2153) :args (@t183)) % 0.72/0.99 (step @p219 :rule and_intro :premises (@p2129 @p84 @p69 @p174 @p175 @p2128 @p2127)) % 0.72/0.99 (step @p220 :rule modus_ponens :premises (@p219 @p211)) % 0.72/0.99 (step @p221 :rule and_intro :premises (@p2126 @p2129 @p220)) % 0.72/0.99 (step @p222 :rule modus_ponens :premises (@p221 @p189)) % 0.72/0.99 (step-pop @p2154 :rule scope :premises (@p222)) % 0.72/0.99 (step-pop @p2155 :rule scope :premises (@p2154)) % 0.72/0.99 (step-pop @p2156 :rule scope :premises (@p2155)) % 0.72/0.99 (step-pop @p2157 :rule scope :premises (@p2156)) % 0.72/0.99 (step-pop @p2158 :rule scope :premises (@p2157)) % 0.72/0.99 (step-pop @p2159 :rule scope :premises (@p2158)) % 0.72/0.99 (step-pop @p2160 :rule scope :premises (@p2159)) % 0.72/0.99 (step-pop @p2161 :rule scope :premises (@p2160)) % 0.72/0.99 (step @p223 :rule process_scope :premises (@p2161) :args (@t184)) % 0.72/0.99 (step @p232 :rule implies_elim :premises (@p223)) % 0.72/0.99 (step @p233 :rule cnf_and_neg :args (@t185)) % 0.72/0.99 (step @p234 :rule resolution :premises (@p233 @p232) :args (true @t185)) % 0.72/0.99 (step @p235 :rule refl :args (@t187)) % 0.72/0.99 (step @p236 :rule refl :args (@t188)) % 0.72/0.99 (step @p237 :rule refl :args (@t189)) % 0.72/0.99 (step @p238 :rule refl :args (@t190)) % 0.72/0.99 (step @p239 :rule refl :args (@t191)) % 0.72/0.99 (step @p240 :rule bool-double-not-elim :args (@t192)) % 0.72/0.99 (step @p241 :rule refl :args (@t193)) % 0.72/0.99 (step @p242 :rule refl :args 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@p2000)) % 0.72/1.00 (step @p2003 :rule cong :premises (@p2002 @p1852) :args (@t448)) % 0.72/1.00 (step @p2004 :rule trans :premises (@p2820 @p1809 @p1808 @p200 @p2781 @p1852 @p1847 @p477 @p2003 @p1999 @p479 @p1996 @p1983 @p1794 @p1793 @p1781 @p64)) % 0.72/1.00 (step-pop @p2866 :rule scope :premises (@p2004)) % 0.72/1.00 (step-pop @p2867 :rule scope :premises (@p2866)) % 0.72/1.00 (step-pop @p2868 :rule scope :premises (@p2867)) % 0.72/1.00 (step-pop @p2869 :rule scope :premises (@p2868)) % 0.72/1.00 (step-pop @p2870 :rule scope :premises (@p2869)) % 0.72/1.00 (step-pop @p2871 :rule scope :premises (@p2870)) % 0.72/1.00 (step-pop @p2872 :rule scope :premises (@p2871)) % 0.72/1.00 (step-pop @p2873 :rule scope :premises (@p2872)) % 0.72/1.00 (step-pop @p2874 :rule scope :premises (@p2873)) % 0.72/1.00 (step-pop @p2875 :rule scope :premises (@p2874)) % 0.72/1.00 (step-pop @p2876 :rule scope :premises (@p2875)) % 0.72/1.00 (step-pop @p2877 :rule scope :premises (@p2876)) % 0.72/1.00 (step-pop @p2878 :rule scope :premises (@p2877)) % 0.72/1.00 (step-pop @p2879 :rule scope :premises (@p2878)) % 0.72/1.00 (step-pop @p2880 :rule scope :premises (@p2879)) % 0.72/1.00 (step-pop @p2881 :rule scope :premises (@p2880)) % 0.72/1.00 (step-pop @p2882 :rule scope :premises (@p2881)) % 0.72/1.00 (step-pop @p2883 :rule scope :premises (@p2882)) % 0.72/1.00 (step-pop @p2884 :rule scope :premises (@p2883)) % 0.72/1.00 (step-pop @p2885 :rule scope :premises (@p2884)) % 0.72/1.00 (step-pop @p2886 :rule scope :premises (@p2885)) % 0.72/1.00 (step-pop @p2887 :rule scope :premises (@p2886)) % 0.72/1.00 (step-pop @p2888 :rule scope :premises (@p2887)) % 0.72/1.00 (step-pop @p2889 :rule scope :premises (@p2888)) % 0.72/1.00 (step-pop @p2890 :rule scope :premises (@p2889)) % 0.72/1.00 (step-pop @p2891 :rule scope :premises (@p2890)) % 0.72/1.00 (step-pop @p2892 :rule scope :premises (@p2891)) % 0.72/1.00 (step-pop @p2893 :rule scope :premises (@p2892)) % 0.72/1.00 (step-pop @p2894 :rule scope :premises (@p2893)) % 0.72/1.00 (step-pop @p2895 :rule scope :premises (@p2894)) % 0.72/1.00 (step-pop @p2896 :rule scope :premises (@p2895)) % 0.72/1.00 (step-pop @p2897 :rule scope :premises (@p2896)) % 0.72/1.00 (step-pop @p2898 :rule scope :premises (@p2897)) % 0.72/1.00 (step-pop @p2899 :rule scope :premises (@p2898)) % 0.72/1.00 (step-pop @p2900 :rule scope :premises (@p2899)) % 0.72/1.00 (step-pop @p2901 :rule scope :premises (@p2900)) % 0.72/1.00 (step-pop @p2902 :rule scope :premises (@p2901)) % 0.72/1.00 (step-pop @p2903 :rule scope :premises (@p2902)) % 0.72/1.00 (step-pop @p2904 :rule scope :premises (@p2903)) % 0.72/1.00 (step-pop @p2905 :rule scope :premises (@p2904)) % 0.72/1.00 (step-pop @p2906 :rule scope :premises (@p2905)) % 0.72/1.00 (step-pop @p2907 :rule scope :premises (@p2906)) % 0.72/1.00 (step-pop @p2908 :rule scope :premises (@p2907)) % 0.72/1.00 (step-pop @p2909 :rule scope :premises (@p2908)) % 0.72/1.00 (step-pop @p2910 :rule scope :premises (@p2909)) % 0.72/1.00 (step @p2005 :rule process_scope :premises (@p2910) :args (@t398)) % 0.72/1.00 (step @p2051 :rule and_intro :premises (@p64 @p67 @p108 @p69 @p66 @p2779 @p2777 @p110 @p476 @p107 @p111 @p84 @p65 @p475 @p481 @p2820 @p2803 @p2781 @p87 @p2778 @p80 @p493 @p97 @p70 @p2776 @p482 @p106 @p484 @p85 @p478 @p86 @p2780 @p503 @p474 @p480 @p88 @p502 @p513 @p483 @p512 @p109 @p112 @p68 @p479 @p477)) % 0.72/1.00 (step @p2052 :rule modus_ponens :premises (@p2051 @p2005)) % 0.72/1.00 (step-pop @p2911 :rule scope :premises (@p2052)) % 0.72/1.00 (step-pop @p2912 :rule scope :premises (@p2911)) % 0.72/1.00 (step-pop @p2913 :rule scope :premises (@p2912)) % 0.72/1.00 (step-pop @p2914 :rule scope :premises (@p2913)) % 0.72/1.00 (step-pop @p2915 :rule scope :premises (@p2914)) % 0.72/1.00 (step-pop @p2916 :rule scope :premises (@p2915)) % 0.72/1.00 (step-pop @p2917 :rule scope :premises (@p2916)) % 0.72/1.00 (step-pop @p2918 :rule scope :premises (@p2917)) % 0.72/1.00 (step-pop @p2919 :rule scope :premises (@p2918)) % 0.72/1.00 (step-pop @p2920 :rule scope :premises (@p2919)) % 0.72/1.00 (step-pop @p2921 :rule scope :premises (@p2920)) % 0.72/1.00 (step-pop @p2922 :rule scope :premises (@p2921)) % 0.72/1.00 (step-pop @p2923 :rule scope :premises (@p2922)) % 0.72/1.00 (step-pop @p2924 :rule scope :premises (@p2923)) % 0.72/1.00 (step-pop @p2925 :rule scope :premises (@p2924)) % 0.72/1.00 (step-pop @p2926 :rule scope :premises (@p2925)) % 0.72/1.00 (step-pop @p2927 :rule scope :premises (@p2926)) % 0.72/1.00 (step-pop @p2928 :rule scope :premises (@p2927)) % 0.72/1.00 (step-pop @p2929 :rule scope :premises (@p2928)) % 0.72/1.00 (step-pop @p2930 :rule scope :premises (@p2929)) % 0.72/1.00 (step-pop @p2931 :rule scope :premises (@p2930)) % 0.72/1.00 (step-pop @p2932 :rule scope :premises (@p2931)) % 0.72/1.00 (step-pop @p2933 :rule scope :premises (@p2932)) % 0.72/1.00 (step-pop @p2934 :rule scope :premises (@p2933)) % 0.72/1.00 (step-pop @p2935 :rule scope :premises (@p2934)) % 0.72/1.00 (step-pop @p2936 :rule scope :premises (@p2935)) % 0.72/1.00 (step-pop @p2937 :rule scope :premises (@p2936)) % 0.72/1.00 (step-pop @p2938 :rule scope :premises (@p2937)) % 0.72/1.00 (step-pop @p2939 :rule scope :premises (@p2938)) % 0.72/1.00 (step-pop @p2940 :rule scope :premises (@p2939)) % 0.72/1.00 (step-pop @p2941 :rule scope :premises (@p2940)) % 0.72/1.00 (step-pop @p2942 :rule scope :premises (@p2941)) % 0.72/1.00 (step-pop @p2943 :rule scope :premises (@p2942)) % 0.72/1.00 (step-pop @p2944 :rule scope :premises (@p2943)) % 0.72/1.00 (step-pop @p2945 :rule scope :premises (@p2944)) % 0.72/1.00 (step-pop @p2946 :rule scope :premises (@p2945)) % 0.72/1.00 (step-pop @p2947 :rule scope :premises (@p2946)) % 0.72/1.00 (step-pop @p2948 :rule scope :premises (@p2947)) % 0.72/1.00 (step-pop @p2949 :rule scope :premises (@p2948)) % 0.72/1.00 (step-pop @p2950 :rule scope :premises (@p2949)) % 0.72/1.00 (step-pop @p2951 :rule scope :premises (@p2950)) % 0.72/1.00 (step-pop @p2952 :rule scope :premises (@p2951)) % 0.72/1.00 (step-pop @p2953 :rule scope :premises (@p2952)) % 0.72/1.00 (step-pop @p2954 :rule scope :premises (@p2953)) % 0.72/1.00 (step-pop @p2955 :rule scope :premises (@p2954)) % 0.72/1.00 (step @p2053 :rule process_scope :premises (@p2955) :args (@t398)) % 0.72/1.00 (step @p2099 :rule implies_elim :premises (@p2053)) % 0.72/1.00 (step @p2100 :rule cnf_and_neg :args (@t473)) % 0.72/1.00 (step @p2101 :rule resolution :premises (@p2100 @p2099) :args (true @t473)) % 0.72/1.00 (step @p2102 :rule reordering :premises (@p2101) :args ((or @t196 @t263 @t375 @t373 @t386 @t216 @t311 @t280 @t401 (not @t419) (not @t421) @t190 (not @t424) @t400 @t188 (not @t426) (not @t429) @t238 (not @t431) (not @t153) (not @t160) @t398 @t391 (not @t432) (not @t434) (not @t435) (not @t438) (not @t441) (not @t444) (not @t445) @t277 @t266 (not @t447) (not @t450) (not @t452) (not @t455) (not @t458) @t274 (not @t460) (not @t463) (not @t465) (not @t246) (not @t252) (not @t467) (not @t259) (not @t469)))) % 0.72/1.00 (step @p2103 false :rule chain_m_resolution :premises (@p2102 @p1690 @p1646 @p1638 @p1632 @p1259 @p1253 @p1230 @p1224 @p513 @p512 @p503 @p502 @p493 @p484 @p483 @p482 @p481 @p480 @p479 @p478 @p477 @p476 @p475 @p474 @p473 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p97 @p88 @p87 @p86 @p85 @p84 @p80 @p70 @p69 @p68 @p67 @p66 @p65 @p64) :args (false (@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) (@list @t398 @t215 @t390 @t385 @t372 @t374 @t262 @t265 @t469 @t259 @t467 @t252 @t246 @t465 @t463 @t460 @t273 @t458 @t455 @t452 @t450 @t447 @t276 @t445 @t192 @t444 @t441 @t438 @t435 @t434 @t432 @t160 @t153 @t431 @t230 @t429 @t426 @t182 @t142 @t424 @t176 @t421 @t419 @t381 @t279 @t297))) % 0.72/1.00 ) % 0.72/1.00 % SZS output end Proof % 0.72/1.00 % cvc5 exiting %------------------------------------------------------------------------------