%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP374-1 : 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 : n017.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 08:20:37 AM UTC 2026 % Result : Unsatisfiable 2.02s 2.25s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP374-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n017.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 01:01:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.02/2.25 % SZS status Unsatisfiable % 2.02/2.25 % SZS output start Proof % 2.02/2.29 ( % 2.02/2.29 (declare-sort $$unsorted 0) % 2.02/2.29 (declare-const tptp.sk_c4 $$unsorted) % 2.02/2.29 (declare-const tptp.sk_c1 $$unsorted) % 2.02/2.29 (declare-const tptp.sk_c8 $$unsorted) % 2.02/2.29 (declare-const tptp.sk_c7 $$unsorted) % 2.02/2.29 (declare-const tptp.sk_c5 $$unsorted) % 2.02/2.29 (declare-const tptp.sk_c6 $$unsorted) % 2.02/2.29 (declare-const tptp.sk_c2 $$unsorted) % 2.02/2.29 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.sk_c3 $$unsorted) % 2.02/2.29 (declare-const tptp.identity $$unsorted) % 2.02/2.29 (define @t1 () (@var "X" $$unsorted)) % 2.02/2.29 (define @t2 () (tptp.multiply tptp.identity @t1)) % 2.02/2.29 (define @t3 () (@list @t1)) % 2.02/2.29 (define @t4 () (forall @t3 (= @t2 @t1))) % 2.02/2.29 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 2.02/2.29 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 2.02/2.29 (define @t7 () (@var "Z" $$unsorted)) % 2.02/2.29 (define @t8 () (@var "Y" $$unsorted)) % 2.02/2.29 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 2.02/2.29 (define @t10 () (tptp.multiply tptp.sk_c8 tptp.sk_c7)) % 2.02/2.29 (define @t11 () (= @t10 tptp.sk_c6)) % 2.02/2.29 (define @t12 () (tptp.inverse tptp.sk_c8)) % 2.02/2.29 (define @t13 () (= @t12 tptp.sk_c7)) % 2.02/2.29 (define @t14 () (tptp.multiply tptp.sk_c3 tptp.sk_c8)) % 2.02/2.29 (define @t15 () (= @t14 tptp.sk_c7)) % 2.02/2.29 (define @t16 () (or @t13 @t15)) % 2.02/2.29 (define @t17 () (tptp.inverse tptp.sk_c3)) % 2.02/2.29 (define @t18 () (= @t17 tptp.sk_c8)) % 2.02/2.29 (define @t19 () (or @t13 @t18)) % 2.02/2.29 (define @t20 () (tptp.multiply tptp.sk_c8 tptp.sk_c5)) % 2.02/2.29 (define @t21 () (= @t20 tptp.sk_c7)) % 2.02/2.29 (define @t22 () (or @t13 @t21)) % 2.02/2.29 (define @t23 () (tptp.multiply tptp.sk_c4 tptp.sk_c8)) % 2.02/2.29 (define @t24 () (= @t23 tptp.sk_c5)) % 2.02/2.29 (define @t25 () (or @t13 @t24)) % 2.02/2.29 (define @t26 () (tptp.inverse tptp.sk_c4)) % 2.02/2.29 (define @t27 () (= @t26 tptp.sk_c8)) % 2.02/2.29 (define @t28 () (or @t13 @t27)) % 2.02/2.29 (define @t29 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 2.02/2.29 (define @t30 () (= @t29 tptp.sk_c7)) % 2.02/2.29 (define @t31 () (or @t30 @t15)) % 2.02/2.29 (define @t32 () (or @t30 @t18)) % 2.02/2.29 (define @t33 () (or @t30 @t21)) % 2.02/2.29 (define @t34 () (or @t30 @t24)) % 2.02/2.29 (define @t35 () (or @t30 @t27)) % 2.02/2.29 (define @t36 () (tptp.inverse tptp.sk_c1)) % 2.02/2.29 (define @t37 () (= @t36 tptp.sk_c8)) % 2.02/2.29 (define @t38 () (or @t37 @t15)) % 2.02/2.29 (define @t39 () (or @t37 @t18)) % 2.02/2.29 (define @t40 () (or @t37 @t21)) % 2.02/2.29 (define @t41 () (or @t37 @t24)) % 2.02/2.29 (define @t42 () (or @t37 @t27)) % 2.02/2.29 (define @t43 () (tptp.multiply tptp.sk_c8 tptp.sk_c6)) % 2.02/2.29 (define @t44 () (= @t43 tptp.sk_c7)) % 2.02/2.29 (define @t45 () (or @t44 @t11)) % 2.02/2.29 (define @t46 () (or @t44 @t15)) % 2.02/2.29 (define @t47 () (or @t44 @t18)) % 2.02/2.29 (define @t48 () (or @t44 @t21)) % 2.02/2.29 (define @t49 () (or @t44 @t24)) % 2.02/2.29 (define @t50 () (or @t44 @t27)) % 2.02/2.29 (define @t51 () (tptp.multiply tptp.sk_c2 tptp.sk_c6)) % 2.02/2.29 (define @t52 () (= @t51 tptp.sk_c7)) % 2.02/2.29 (define @t53 () (or @t52 @t15)) % 2.02/2.29 (define @t54 () (or @t52 @t18)) % 2.02/2.29 (define @t55 () (or @t52 @t21)) % 2.02/2.29 (define @t56 () (or @t52 @t24)) % 2.02/2.29 (define @t57 () (or @t52 @t27)) % 2.02/2.29 (define @t58 () (tptp.inverse tptp.sk_c2)) % 2.02/2.29 (define @t59 () (= @t58 tptp.sk_c6)) % 2.02/2.29 (define @t60 () (or @t59 @t11)) % 2.02/2.29 (define @t61 () (or @t59 @t15)) % 2.02/2.29 (define @t62 () (or @t59 @t18)) % 2.02/2.29 (define @t63 () (or @t59 @t21)) % 2.02/2.29 (define @t64 () (or @t59 @t24)) % 2.02/2.29 (define @t65 () (or @t59 @t27)) % 2.02/2.29 (define @t66 () (@var "X5" $$unsorted)) % 2.02/2.29 (define @t67 () (tptp.inverse @t66)) % 2.02/2.29 (define @t68 () (not (= @t67 tptp.sk_c8))) % 2.02/2.29 (define @t69 () (@var "X2" $$unsorted)) % 2.02/2.29 (define @t70 () (tptp.multiply @t66 tptp.sk_c8)) % 2.02/2.29 (define @t71 () (not (= @t70 @t69))) % 2.02/2.29 (define @t72 () (tptp.multiply tptp.sk_c8 @t69)) % 2.02/2.29 (define @t73 () (not (= @t72 tptp.sk_c7))) % 2.02/2.29 (define @t74 () (@var "X1" $$unsorted)) % 2.02/2.29 (define @t75 () (tptp.inverse @t74)) % 2.02/2.29 (define @t76 () (not (= @t75 tptp.sk_c8))) % 2.02/2.29 (define @t77 () (tptp.multiply @t74 tptp.sk_c8)) % 2.02/2.29 (define @t78 () (not (= @t77 tptp.sk_c7))) % 2.02/2.29 (define @t79 () (not @t11)) % 2.02/2.29 (define @t80 () (@var "X4" $$unsorted)) % 2.02/2.29 (define @t81 () (tptp.inverse @t80)) % 2.02/2.29 (define @t82 () (not (= @t81 tptp.sk_c6))) % 2.02/2.29 (define @t83 () (tptp.multiply @t80 tptp.sk_c6)) % 2.02/2.29 (define @t84 () (not (= @t83 tptp.sk_c7))) % 2.02/2.29 (define @t85 () (not @t44)) % 2.02/2.29 (define @t86 () (@var "X3" $$unsorted)) % 2.02/2.29 (define @t87 () (tptp.inverse @t86)) % 2.02/2.29 (define @t88 () (not (= @t87 tptp.sk_c8))) % 2.02/2.29 (define @t89 () (tptp.multiply @t86 tptp.sk_c8)) % 2.02/2.29 (define @t90 () (not (= @t89 tptp.sk_c7))) % 2.02/2.29 (define @t91 () (not @t13)) % 2.02/2.30 (define @t92 () (or @t91 @t90 @t88 @t85 @t84 @t82 @t79 @t78 @t76 @t73 @t71 @t68)) % 2.02/2.30 (define @t93 () (@list @t86 @t80 @t74 @t69 @t66)) % 2.02/2.30 (define @t94 () (forall @t93 @t92)) % 2.02/2.30 (define @t95 () (@list tptp.sk_c8)) % 2.02/2.30 (define @t96 () (not (= tptp.sk_c8 @t87))) % 2.02/2.30 (define @t97 () (not (= tptp.sk_c7 @t89))) % 2.02/2.30 (define @t98 () (or @t97 @t96)) % 2.02/2.30 (define @t99 () (forall (@list @t86) @t98)) % 2.02/2.30 (define @t100 () (@quantifiers_skolemize @t99 0)) % 2.02/2.30 (define @t101 () (@list @t100)) % 2.02/2.30 (define @t102 () (not (= tptp.sk_c6 @t81))) % 2.02/2.30 (define @t103 () (not (= tptp.sk_c7 @t83))) % 2.02/2.30 (define @t104 () (or @t103 @t102)) % 2.02/2.30 (define @t105 () (forall (@list @t80) @t104)) % 2.02/2.30 (define @t106 () (@quantifiers_skolemize @t105 0)) % 2.02/2.30 (define @t107 () (tptp.multiply @t100 @t100)) % 2.02/2.30 (define @t108 () (tptp.multiply tptp.sk_c8 @t107)) % 2.02/2.30 (define @t109 () (tptp.inverse @t100)) % 2.02/2.30 (define @t110 () (tptp.multiply @t106 @t100)) % 2.02/2.30 (define @t111 () (tptp.inverse @t106)) % 2.02/2.30 (define @t112 () (tptp.multiply tptp.sk_c8 @t100)) % 2.02/2.30 (define @t113 () (tptp.multiply @t112 @t100)) % 2.02/2.30 (define @t114 () (= @t113 @t108)) % 2.02/2.30 (define @t115 () (@list tptp.sk_c8 @t100 @t100)) % 2.02/2.30 (define @t116 () (= @t108 @t113)) % 2.02/2.30 (define @t117 () (@list false)) % 2.02/2.30 (define @t118 () (@list @t9)) % 2.02/2.30 (define @t119 () (= tptp.sk_c7 @t20)) % 2.02/2.30 (define @t120 () (= tptp.sk_c5 @t23)) % 2.02/2.30 (define @t121 () (tptp.multiply tptp.sk_c8 @t23)) % 2.02/2.30 (define @t122 () (= tptp.sk_c7 @t121)) % 2.02/2.30 (define @t123 () (and @t119 @t120)) % 2.02/2.30 (define @t124 () (= tptp.sk_c8 @t26)) % 2.02/2.30 (define @t125 () (not @t124)) % 2.02/2.30 (define @t126 () (not @t122)) % 2.02/2.30 (define @t127 () (or @t126 @t125)) % 2.02/2.30 (define @t128 () (not (= tptp.sk_c8 @t67))) % 2.02/2.30 (define @t129 () (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t70)))) % 2.02/2.30 (define @t130 () (or @t129 @t128)) % 2.02/2.30 (define @t131 () (@list @t66)) % 2.02/2.30 (define @t132 () (forall @t131 @t130)) % 2.02/2.30 (define @t133 () (@list tptp.sk_c4)) % 2.02/2.30 (define @t134 () (@quantifiers_skolemize @t132 0)) % 2.02/2.30 (define @t135 () (tptp.inverse @t134)) % 2.02/2.30 (define @t136 () (= tptp.sk_c8 @t135)) % 2.02/2.30 (define @t137 () (not @t136)) % 2.02/2.30 (define @t138 () (tptp.multiply @t134 tptp.sk_c8)) % 2.02/2.30 (define @t139 () (tptp.multiply tptp.sk_c8 @t138)) % 2.02/2.30 (define @t140 () (= tptp.sk_c7 @t139)) % 2.02/2.30 (define @t141 () (not @t140)) % 2.02/2.30 (define @t142 () (or @t141 @t137)) % 2.02/2.30 (define @t143 () (not @t142)) % 2.02/2.30 (define @t144 () (not @t132)) % 2.02/2.30 (define @t145 () (@list tptp.sk_c3)) % 2.02/2.30 (define @t146 () (@list @t134)) % 2.02/2.30 (define @t147 () (tptp.multiply @t138 @t23)) % 2.02/2.30 (define @t148 () (tptp.multiply @t138 tptp.sk_c4)) % 2.02/2.30 (define @t149 () (tptp.multiply @t148 tptp.sk_c8)) % 2.02/2.30 (define @t150 () (= @t149 @t147)) % 2.02/2.30 (define @t151 () (not @t150)) % 2.02/2.30 (define @t152 () (tptp.multiply @t134 @t20)) % 2.02/2.30 (define @t153 () (tptp.multiply @t138 tptp.sk_c5)) % 2.02/2.30 (define @t154 () (= @t153 @t152)) % 2.02/2.30 (define @t155 () (not @t154)) % 2.02/2.30 (define @t156 () (tptp.multiply tptp.sk_c8 tptp.sk_c4)) % 2.02/2.30 (define @t157 () (tptp.multiply @t134 @t156)) % 2.02/2.30 (define @t158 () (= @t148 @t157)) % 2.02/2.30 (define @t159 () (not @t158)) % 2.02/2.30 (define @t160 () (tptp.multiply tptp.sk_c8 tptp.sk_c3)) % 2.02/2.30 (define @t161 () (tptp.multiply @t134 @t160)) % 2.02/2.30 (define @t162 () (tptp.multiply @t138 tptp.sk_c3)) % 2.02/2.30 (define @t163 () (= @t162 @t161)) % 2.02/2.30 (define @t164 () (not @t163)) % 2.02/2.30 (define @t165 () (tptp.multiply tptp.identity @t138)) % 2.02/2.30 (define @t166 () (= @t138 @t165)) % 2.02/2.30 (define @t167 () (not @t166)) % 2.02/2.30 (define @t168 () (= @t134 (tptp.multiply tptp.identity @t134))) % 2.02/2.30 (define @t169 () (not @t168)) % 2.02/2.30 (define @t170 () (tptp.multiply tptp.identity tptp.sk_c4)) % 2.02/2.30 (define @t171 () (= tptp.sk_c4 @t170)) % 2.02/2.30 (define @t172 () (not @t171)) % 2.02/2.30 (define @t173 () (tptp.multiply tptp.identity tptp.sk_c3)) % 2.02/2.30 (define @t174 () (= tptp.sk_c3 @t173)) % 2.02/2.30 (define @t175 () (not @t174)) % 2.02/2.30 (define @t176 () (tptp.multiply @t12 @t139)) % 2.02/2.30 (define @t177 () (tptp.multiply @t12 tptp.sk_c8)) % 2.02/2.30 (define @t178 () (tptp.multiply @t177 @t138)) % 2.02/2.30 (define @t179 () (= @t178 @t176)) % 2.02/2.30 (define @t180 () (not @t179)) % 2.02/2.30 (define @t181 () (tptp.multiply tptp.identity tptp.sk_c8)) % 2.02/2.30 (define @t182 () (= tptp.sk_c8 @t181)) % 2.02/2.30 (define @t183 () (not @t182)) % 2.02/2.30 (define @t184 () (tptp.multiply @t156 tptp.sk_c8)) % 2.02/2.30 (define @t185 () (= @t184 @t121)) % 2.02/2.30 (define @t186 () (not @t185)) % 2.02/2.30 (define @t187 () (tptp.multiply @t111 @t106)) % 2.02/2.30 (define @t188 () (= tptp.identity @t187)) % 2.02/2.30 (define @t189 () (not @t188)) % 2.02/2.30 (define @t190 () (tptp.multiply @t26 tptp.sk_c4)) % 2.02/2.30 (define @t191 () (= tptp.identity @t190)) % 2.02/2.30 (define @t192 () (not @t191)) % 2.02/2.30 (define @t193 () (tptp.multiply @t17 tptp.sk_c3)) % 2.02/2.30 (define @t194 () (= tptp.identity @t193)) % 2.02/2.30 (define @t195 () (not @t194)) % 2.02/2.30 (define @t196 () (= tptp.identity @t177)) % 2.02/2.30 (define @t197 () (not @t196)) % 2.02/2.30 (define @t198 () (= tptp.sk_c7 @t12)) % 2.02/2.30 (define @t199 () (not @t120)) % 2.02/2.30 (define @t200 () (not @t119)) % 2.02/2.30 (define @t201 () (= tptp.sk_c8 @t17)) % 2.02/2.30 (define @t202 () (not @t201)) % 2.02/2.30 (define @t203 () (= tptp.sk_c7 @t14)) % 2.02/2.30 (define @t204 () (not @t203)) % 2.02/2.30 (define @t205 () (not @t198)) % 2.02/2.30 (define @t206 () (tptp.inverse @t139)) % 2.02/2.30 (define @t207 () (= tptp.sk_c8 @t206)) % 2.02/2.30 (define @t208 () (not @t207)) % 2.02/2.30 (define @t209 () (= false true)) % 2.02/2.30 (define @t210 () (tptp.multiply @t138 @t173)) % 2.02/2.30 (define @t211 () (tptp.multiply @t17 @t173)) % 2.02/2.30 (define @t212 () (tptp.multiply @t134 tptp.identity)) % 2.02/2.30 (define @t213 () (tptp.multiply @t134 @t177)) % 2.02/2.30 (define @t214 () (tptp.multiply @t177 @t134)) % 2.02/2.30 (define @t215 () (tptp.multiply @t134 @t153)) % 2.02/2.30 (define @t216 () (tptp.multiply @t138 @t170)) % 2.02/2.30 (define @t217 () (and @t208 @t207)) % 2.02/2.30 (define @t218 () (tptp.multiply @t109 tptp.identity)) % 2.02/2.30 (define @t219 () (tptp.multiply @t100 tptp.sk_c7)) % 2.02/2.30 (define @t220 () (tptp.multiply @t100 tptp.sk_c8)) % 2.02/2.30 (define @t221 () (= tptp.sk_c7 @t29)) % 2.02/2.30 (define @t222 () (= tptp.sk_c8 @t36)) % 2.02/2.30 (define @t223 () (= tptp.sk_c7 @t43)) % 2.02/2.30 (define @t224 () (= tptp.sk_c7 @t51)) % 2.02/2.30 (define @t225 () (= tptp.sk_c6 @t58)) % 2.02/2.30 (define @t226 () (not @t222)) % 2.02/2.30 (define @t227 () (not @t221)) % 2.02/2.30 (define @t228 () (or @t227 @t226)) % 2.02/2.30 (define @t229 () (not @t228)) % 2.02/2.30 (define @t230 () (not @t225)) % 2.02/2.30 (define @t231 () (not @t224)) % 2.02/2.30 (define @t232 () (or @t231 @t230)) % 2.02/2.30 (define @t233 () (not @t232)) % 2.02/2.30 (define @t234 () (@list tptp.sk_c1)) % 2.02/2.30 (define @t235 () (@list tptp.sk_c2)) % 2.02/2.30 (define @t236 () (= tptp.sk_c8 @t109)) % 2.02/2.30 (define @t237 () (not @t236)) % 2.02/2.30 (define @t238 () (= tptp.sk_c7 @t220)) % 2.02/2.30 (define @t239 () (not @t238)) % 2.02/2.30 (define @t240 () (or @t239 @t237)) % 2.02/2.30 (define @t241 () (not @t240)) % 2.02/2.30 (define @t242 () (not @t99)) % 2.02/2.30 (define @t243 () (tptp.multiply @t106 tptp.sk_c6)) % 2.02/2.30 (define @t244 () (= tptp.sk_c7 @t243)) % 2.02/2.30 (define @t245 () (not @t244)) % 2.02/2.30 (define @t246 () (or @t245 (not (= tptp.sk_c6 @t111)))) % 2.02/2.30 (define @t247 () (not @t246)) % 2.02/2.30 (define @t248 () (not @t105)) % 2.02/2.30 (define @t249 () (tptp.multiply @t109 @t100)) % 2.02/2.30 (define @t250 () (= tptp.identity @t249)) % 2.02/2.30 (define @t251 () (tptp.multiply (tptp.multiply tptp.sk_c8 @t106) tptp.sk_c6)) % 2.02/2.30 (define @t252 () (= @t251 (tptp.multiply tptp.sk_c8 @t243))) % 2.02/2.30 (define @t253 () (tptp.multiply tptp.identity @t100)) % 2.02/2.30 (define @t254 () (= @t100 @t253)) % 2.02/2.30 (define @t255 () (tptp.multiply @t108 @t10)) % 2.02/2.30 (define @t256 () (tptp.multiply @t108 tptp.sk_c8)) % 2.02/2.30 (define @t257 () (tptp.multiply @t256 tptp.sk_c7)) % 2.02/2.30 (define @t258 () (= @t257 @t255)) % 2.02/2.30 (define @t259 () (tptp.multiply tptp.sk_c8 @t256)) % 2.02/2.30 (define @t260 () (tptp.multiply tptp.sk_c8 @t108)) % 2.02/2.30 (define @t261 () (tptp.multiply @t260 tptp.sk_c8)) % 2.02/2.30 (define @t262 () (= @t261 @t259)) % 2.02/2.30 (define @t263 () (tptp.multiply @t109 @t253)) % 2.02/2.30 (define @t264 () (tptp.multiply @t113 tptp.sk_c8)) % 2.02/2.30 (define @t265 () (tptp.inverse @t109)) % 2.02/2.30 (define @t266 () (tptp.multiply tptp.sk_c8 @t178)) % 2.02/2.30 (define @t267 () (tptp.multiply tptp.sk_c7 tptp.sk_c7)) % 2.02/2.30 (define @t268 () (= tptp.sk_c8 (tptp.inverse @t251))) % 2.02/2.30 (define @t269 () (and @t198 @t140 @t238 @t236 @t244 @t196 @t250 @t188 @t252 @t182 @t179 @t254 @t166 @t258 @t262 @t116)) % 2.02/2.30 (define @t270 () (not @t116)) % 2.02/2.30 (define @t271 () (not @t262)) % 2.02/2.30 (define @t272 () (not @t258)) % 2.02/2.30 (define @t273 () (not @t254)) % 2.02/2.30 (define @t274 () (not @t252)) % 2.02/2.30 (define @t275 () (not @t250)) % 2.02/2.30 (define @t276 () (tptp.multiply tptp.sk_c8 @t10)) % 2.02/2.30 (define @t277 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply @t251 tptp.sk_c8)))) % 2.02/2.30 (define @t278 () (tptp.multiply @t256 @t100)) % 2.02/2.30 (define @t279 () (= @t278 (tptp.multiply @t108 @t112))) % 2.02/2.30 (define @t280 () (tptp.multiply @t108 @t139)) % 2.02/2.30 (define @t281 () (tptp.multiply @t256 @t138)) % 2.02/2.30 (define @t282 () (= @t281 @t280)) % 2.02/2.30 (define @t283 () (tptp.multiply @t108 @t43)) % 2.02/2.30 (define @t284 () (tptp.multiply @t256 tptp.sk_c6)) % 2.02/2.30 (define @t285 () (= @t284 @t283)) % 2.02/2.30 (define @t286 () (tptp.multiply tptp.identity tptp.sk_c6)) % 2.02/2.30 (define @t287 () (= tptp.sk_c6 @t286)) % 2.02/2.30 (define @t288 () (tptp.multiply @t100 tptp.sk_c6)) % 2.02/2.30 (define @t289 () (tptp.multiply @t220 @t288)) % 2.02/2.30 (define @t290 () (= (tptp.multiply (tptp.multiply @t220 @t100) tptp.sk_c6) @t289)) % 2.02/2.30 (define @t291 () (tptp.multiply @t100 tptp.identity)) % 2.02/2.30 (define @t292 () (tptp.multiply @t291 tptp.sk_c6)) % 2.02/2.30 (define @t293 () (= @t292 (tptp.multiply @t100 @t286))) % 2.02/2.30 (define @t294 () (tptp.multiply @t249 tptp.sk_c6)) % 2.02/2.30 (define @t295 () (= @t294 (tptp.multiply @t109 @t288))) % 2.02/2.30 (define @t296 () (tptp.multiply @t29 @t138)) % 2.02/2.30 (define @t297 () (tptp.multiply tptp.sk_c8 @t288)) % 2.02/2.30 (define @t298 () (= tptp.sk_c6 @t10)) % 2.02/2.30 (define @t299 () (and @t198 @t221 @t223 @t140 @t238 @t236 @t196 @t250 @t188 @t182 @t179 @t254 @t166 @t258 @t279 @t282 @t285 @t262 @t116 @t287 @t290 @t293 @t295)) % 2.02/2.30 (define @t300 () (not @t287)) % 2.02/2.30 (define @t301 () (not @t285)) % 2.02/2.30 (define @t302 () (not @t223)) % 2.02/2.30 (define @t303 () (not @t268)) % 2.02/2.30 (define @t304 () (not @t277)) % 2.02/2.30 (define @t305 () (or @t304 @t303)) % 2.02/2.30 (define @t306 () (not (= @t70 @t70))) % 2.02/2.30 (define @t307 () (or @t129 @t306 @t128)) % 2.02/2.30 (define @t308 () (not (= @t69 @t70))) % 2.02/2.30 (define @t309 () (not (= tptp.sk_c7 @t72))) % 2.02/2.30 (define @t310 () (or @t308 @t309 @t308 @t128)) % 2.02/2.30 (define @t311 () (@list @t69)) % 2.02/2.30 (define @t312 () (or @t309 @t308 @t128)) % 2.02/2.30 (define @t313 () (forall @t311 @t312)) % 2.02/2.30 (define @t314 () (forall @t131 @t313)) % 2.02/2.30 (define @t315 () (forall (@list @t66 @t69) @t312)) % 2.02/2.30 (define @t316 () (forall (@list @t69 @t66) @t312)) % 2.02/2.30 (define @t317 () (not (= tptp.sk_c8 @t75))) % 2.02/2.30 (define @t318 () (not (= tptp.sk_c7 @t77))) % 2.02/2.30 (define @t319 () (or @t318 @t317)) % 2.02/2.30 (define @t320 () (forall (@list @t74) @t319)) % 2.02/2.30 (define @t321 () (not @t298)) % 2.02/2.30 (define @t322 () (or @t205 @t302 @t321 @t99 @t105 @t320 @t316)) % 2.02/2.30 (define @t323 () (or @t205 @t302 @t321 @t98 @t104 @t319 @t312)) % 2.02/2.30 (define @t324 () (or @t205 @t97 @t96 @t302 @t103 @t102 @t321 @t318 @t317 @t309 @t308 @t128)) % 2.02/2.30 (define @t325 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t220))) % 2.02/2.30 (define @t326 () (not @t325)) % 2.02/2.30 (define @t327 () (or @t326 @t237)) % 2.02/2.30 (define @t328 () (tptp.multiply tptp.identity @t10)) % 2.02/2.30 (define @t329 () (= @t10 @t328)) % 2.02/2.30 (define @t330 () (tptp.multiply @t100 @t220)) % 2.02/2.30 (define @t331 () (tptp.multiply @t107 tptp.sk_c8)) % 2.02/2.30 (define @t332 () (= @t331 @t330)) % 2.02/2.30 (define @t333 () (tptp.multiply tptp.sk_c8 @t331)) % 2.02/2.30 (define @t334 () (= @t256 @t333)) % 2.02/2.30 (define @t335 () (tptp.multiply @t218 @t100)) % 2.02/2.30 (define @t336 () (= @t335 @t263)) % 2.02/2.30 (define @t337 () (tptp.multiply @t218 @t219)) % 2.02/2.30 (define @t338 () (tptp.multiply @t335 tptp.sk_c7)) % 2.02/2.30 (define @t339 () (= @t338 @t337)) % 2.02/2.30 (define @t340 () (tptp.multiply tptp.identity @t219)) % 2.02/2.30 (define @t341 () (tptp.multiply @t109 @t340)) % 2.02/2.30 (define @t342 () (= @t337 @t341)) % 2.02/2.30 (define @t343 () (= @t219 @t340)) % 2.02/2.30 (define @t344 () (tptp.multiply @t12 @t10)) % 2.02/2.30 (define @t345 () (tptp.multiply @t177 tptp.sk_c7)) % 2.02/2.30 (define @t346 () (= @t345 @t344)) % 2.02/2.30 (define @t347 () (tptp.multiply @t108 @t109)) % 2.02/2.30 (define @t348 () (tptp.multiply @t256 @t109)) % 2.02/2.30 (define @t349 () (and @t198 @t119 @t238 @t236 @t196 @t250 @t188 @t182 @t329 @t332 @t254 @t334 @t262 @t336 @t116 @t339 @t342 @t343 @t346)) % 2.02/2.30 (define @t350 () (not @t346)) % 2.02/2.30 (define @t351 () (not @t343)) % 2.02/2.30 (define @t352 () (not @t342)) % 2.02/2.30 (define @t353 () (not @t339)) % 2.02/2.30 (define @t354 () (not @t336)) % 2.02/2.30 (define @t355 () (not @t334)) % 2.02/2.30 (define @t356 () (not @t332)) % 2.02/2.30 (define @t357 () (not @t329)) % 2.02/2.30 (define @t358 () (forall @t3 (= @t1 @t2))) % 2.02/2.30 (define @t359 () (forall @t3 (= tptp.identity @t5))) % 2.02/2.30 (define @t360 () (= tptp.sk_c8 @t12)) % 2.02/2.30 (define @t361 () (and @t198 @t119 @t120 @t124 @t191 @t188 @t185 @t182)) % 2.02/2.30 (define @t362 () (tptp.multiply tptp.sk_c8 @t134)) % 2.02/2.30 (define @t363 () (tptp.multiply @t362 tptp.sk_c8)) % 2.02/2.30 (define @t364 () (= @t363 @t139)) % 2.02/2.30 (define @t365 () (@list tptp.sk_c8 @t134 tptp.sk_c8)) % 2.02/2.30 (define @t366 () (= @t139 @t363)) % 2.02/2.30 (define @t367 () (tptp.multiply tptp.sk_c8 @t184)) % 2.02/2.30 (define @t368 () (tptp.multiply tptp.sk_c8 @t363)) % 2.02/2.30 (define @t369 () (tptp.multiply tptp.sk_c8 tptp.sk_c8)) % 2.02/2.30 (define @t370 () (= tptp.sk_c7 @t369)) % 2.02/2.30 (define @t371 () (and @t198 @t203 @t201 @t119 @t120 @t124 @t140 @t196 @t194 @t191 @t188 @t185 @t366 @t182 @t179 @t174 @t166 @t163 @t158 @t154 @t150)) % 2.02/2.30 (define @t372 () (not @t360)) % 2.02/2.30 (define @t373 () (not @t370)) % 2.02/2.30 (define @t374 () (or @t373 @t372)) % 2.02/2.30 (define @t375 () (= tptp.sk_c8 @t58)) % 2.02/2.30 (define @t376 () (not @t375)) % 2.02/2.30 (define @t377 () (not @t366)) % 2.02/2.30 (define @t378 () (= tptp.sk_c6 @t26)) % 2.02/2.30 (define @t379 () (not @t378)) % 2.02/2.30 (define @t380 () (and @t198 @t360 @t375 @t225 @t136 @t201 @t124 @t379)) % 2.02/2.30 (define @t381 () (tptp.multiply @t138 @t134)) % 2.02/2.30 (define @t382 () (tptp.multiply @t381 @t177)) % 2.02/2.30 (define @t383 () (tptp.multiply @t382 @t138)) % 2.02/2.30 (define @t384 () (= @t383 (tptp.multiply @t381 @t178))) % 2.02/2.30 (define @t385 () (not @t384)) % 2.02/2.30 (define @t386 () (tptp.multiply @t23 @t177)) % 2.02/2.30 (define @t387 () (tptp.multiply @t386 @t134)) % 2.02/2.30 (define @t388 () (= @t387 (tptp.multiply @t23 @t214))) % 2.02/2.30 (define @t389 () (not @t388)) % 2.02/2.30 (define @t390 () (tptp.multiply tptp.sk_c4 @t139)) % 2.02/2.30 (define @t391 () (tptp.multiply tptp.identity @t390)) % 2.02/2.30 (define @t392 () (tptp.multiply @t170 @t139)) % 2.02/2.30 (define @t393 () (= @t392 @t391)) % 2.02/2.30 (define @t394 () (not @t393)) % 2.02/2.30 (define @t395 () (tptp.multiply @t134 @t362)) % 2.02/2.30 (define @t396 () (tptp.multiply @t214 @t362)) % 2.02/2.30 (define @t397 () (= @t396 (tptp.multiply @t177 @t395))) % 2.02/2.30 (define @t398 () (not @t397)) % 2.02/2.30 (define @t399 () (tptp.multiply @t134 @t138)) % 2.02/2.30 (define @t400 () (tptp.multiply @t138 @t399)) % 2.02/2.30 (define @t401 () (tptp.multiply @t381 @t138)) % 2.02/2.30 (define @t402 () (= @t401 @t400)) % 2.02/2.30 (define @t403 () (not @t402)) % 2.02/2.30 (define @t404 () (tptp.multiply tptp.identity @t148)) % 2.02/2.30 (define @t405 () (= @t148 @t404)) % 2.02/2.30 (define @t406 () (not @t405)) % 2.02/2.30 (define @t407 () (tptp.multiply tptp.identity tptp.sk_c5)) % 2.02/2.30 (define @t408 () (= tptp.sk_c5 @t407)) % 2.02/2.30 (define @t409 () (not @t408)) % 2.02/2.30 (define @t410 () (tptp.multiply @t23 @t134)) % 2.02/2.30 (define @t411 () (= @t410 (tptp.multiply tptp.sk_c4 @t362))) % 2.02/2.30 (define @t412 () (not @t411)) % 2.02/2.30 (define @t413 () (= @t381 @t395)) % 2.02/2.30 (define @t414 () (not @t413)) % 2.02/2.30 (define @t415 () (tptp.multiply @t12 @t362)) % 2.02/2.30 (define @t416 () (= @t214 @t415)) % 2.02/2.30 (define @t417 () (not @t416)) % 2.02/2.30 (define @t418 () (tptp.multiply @t23 @t138)) % 2.02/2.30 (define @t419 () (= @t418 @t390)) % 2.02/2.30 (define @t420 () (not @t419)) % 2.02/2.30 (define @t421 () (tptp.multiply tptp.sk_c8 @t381)) % 2.02/2.30 (define @t422 () (= (tptp.multiply @t139 @t134) @t421)) % 2.02/2.30 (define @t423 () (not @t422)) % 2.02/2.30 (define @t424 () (tptp.multiply @t369 tptp.sk_c7)) % 2.02/2.30 (define @t425 () (= @t424 @t276)) % 2.02/2.30 (define @t426 () (not @t425)) % 2.02/2.30 (define @t427 () (= tptp.identity (tptp.multiply @t135 @t134))) % 2.02/2.30 (define @t428 () (not @t427)) % 2.02/2.30 (define @t429 () (= tptp.sk_c6 @t12)) % 2.02/2.30 (define @t430 () (tptp.multiply tptp.sk_c8 @t12)) % 2.02/2.30 (define @t431 () (tptp.multiply @t369 tptp.sk_c8)) % 2.02/2.30 (define @t432 () (tptp.multiply tptp.sk_c8 @t177)) % 2.02/2.30 (define @t433 () (tptp.multiply @t135 @t177)) % 2.02/2.30 (define @t434 () (tptp.multiply @t135 @t214)) % 2.02/2.30 (define @t435 () (tptp.multiply @t178 @t134)) % 2.02/2.30 (define @t436 () (tptp.multiply @t139 @t214)) % 2.02/2.30 (define @t437 () (tptp.multiply tptp.sk_c8 @t362)) % 2.02/2.30 (define @t438 () (tptp.multiply @t177 @t381)) % 2.02/2.30 (define @t439 () (tptp.multiply @t407 @t138)) % 2.02/2.30 (define @t440 () (tptp.multiply @t170 @t362)) % 2.02/2.30 (define @t441 () (tptp.multiply @t173 @t362)) % 2.02/2.30 (define @t442 () (tptp.multiply tptp.sk_c3 tptp.identity)) % 2.02/2.30 (define @t443 () (tptp.multiply @t214 @t153)) % 2.02/2.30 (define @t444 () (tptp.multiply @t134 @t178)) % 2.02/2.30 (define @t445 () (tptp.multiply @t178 @t399)) % 2.02/2.30 (define @t446 () (tptp.multiply @t395 @t138)) % 2.02/2.30 (define @t447 () (and @t198 @t360 @t429 @t225 @t376)) % 2.02/2.30 (define @t448 () (tptp.multiply @t362 @t138)) % 2.02/2.30 (define @t449 () (tptp.multiply @t448 tptp.sk_c4)) % 2.02/2.30 (define @t450 () (tptp.multiply @t362 @t148)) % 2.02/2.30 (define @t451 () (= @t449 @t450)) % 2.02/2.30 (define @t452 () (@list @t362 @t138 tptp.sk_c4)) % 2.02/2.30 (define @t453 () (= @t450 @t449)) % 2.02/2.30 (define @t454 () (tptp.multiply tptp.sk_c8 @t162)) % 2.02/2.30 (define @t455 () (tptp.multiply @t139 tptp.sk_c3)) % 2.02/2.30 (define @t456 () (= @t455 @t454)) % 2.02/2.30 (define @t457 () (tptp.multiply tptp.identity @t162)) % 2.02/2.30 (define @t458 () (= @t162 @t457)) % 2.02/2.30 (define @t459 () (tptp.multiply tptp.sk_c8 @t215)) % 2.02/2.30 (define @t460 () (tptp.multiply @t362 @t153)) % 2.02/2.30 (define @t461 () (= @t460 @t459)) % 2.02/2.30 (define @t462 () (tptp.multiply @t12 @t331)) % 2.02/2.30 (define @t463 () (tptp.multiply @t12 @t107)) % 2.02/2.30 (define @t464 () (tptp.multiply @t463 tptp.sk_c8)) % 2.02/2.30 (define @t465 () (= @t464 @t462)) % 2.02/2.30 (define @t466 () (tptp.multiply @t253 @t100)) % 2.02/2.30 (define @t467 () (= @t466 (tptp.multiply tptp.identity @t107))) % 2.02/2.30 (define @t468 () (tptp.multiply @t100 @t362)) % 2.02/2.30 (define @t469 () (tptp.multiply @t100 @t468)) % 2.02/2.30 (define @t470 () (= (tptp.multiply @t107 @t362) @t469)) % 2.02/2.30 (define @t471 () (tptp.multiply @t100 @t363)) % 2.02/2.30 (define @t472 () (tptp.multiply @t362 @t178)) % 2.02/2.30 (define @t473 () (and @t198 @t298 @t203 @t201 @t119 @t120 @t124 @t140 @t136 @t238 @t196 @t194 @t191 @t427 @t250 @t188 @t185 @t425 @t366 @t182 @t422 @t456 @t419 @t179 @t416 @t413 @t411 @t174 @t171 @t168 @t254 @t408 @t166 @t458 @t402 @t461 @t334 @t465 @t397 @t467 @t393 @t163 @t158 @t154 @t336 @t388 @t470 @t150 @t453 @t384)) % 2.02/2.30 (define @t474 () (not @t453)) % 2.02/2.30 (define @t475 () (not @t465)) % 2.02/2.30 (define @t476 () (not @t461)) % 2.02/2.30 (define @t477 () (not @t458)) % 2.02/2.30 (define @t478 () (not @t456)) % 2.02/2.30 (define @t479 () (and @t198 @t203 @t201 @t119 @t120 @t124 @t223 @t140 @t136 @t196 @t194 @t191 @t427 @t188 @t185 @t425 @t366 @t182 @t422 @t419 @t179 @t416 @t413 @t411 @t174 @t171 @t168 @t408 @t166 @t405 @t402 @t397 @t393 @t163 @t158 @t154 @t388 @t150 @t384 @t287)) % 2.02/2.30 (define @t480 () (not @t429)) % 2.02/2.30 (define @t481 () (or @t302 @t480)) % 2.02/2.30 (define @t482 () (tptp.multiply tptp.identity tptp.sk_c2)) % 2.02/2.30 (define @t483 () (= tptp.sk_c2 @t482)) % 2.02/2.30 (define @t484 () (not @t483)) % 2.02/2.30 (define @t485 () (tptp.multiply @t58 tptp.sk_c2)) % 2.02/2.30 (define @t486 () (= tptp.identity @t485)) % 2.02/2.30 (define @t487 () (not @t486)) % 2.02/2.30 (define @t488 () (= tptp.sk_c6 @t36)) % 2.02/2.30 (define @t489 () (and @t198 @t360 @t222 @t488 @t225 @t376)) % 2.02/2.30 (define @t490 () (tptp.multiply tptp.sk_c8 @t457)) % 2.02/2.30 (define @t491 () (tptp.multiply tptp.sk_c8 tptp.identity)) % 2.02/2.30 (define @t492 () (= (tptp.multiply @t491 @t162) @t490)) % 2.02/2.30 (define @t493 () (tptp.multiply @t491 @t148)) % 2.02/2.30 (define @t494 () (= @t493 (tptp.multiply tptp.sk_c8 @t404))) % 2.02/2.30 (define @t495 () (tptp.multiply tptp.sk_c8 @t148)) % 2.02/2.30 (define @t496 () (tptp.multiply @t362 @t162)) % 2.02/2.30 (define @t497 () (and @t198 @t201 @t119 @t120 @t124 @t223 @t140 @t136 @t238 @t196 @t194 @t191 @t427 @t188 @t185 @t425 @t366 @t182 @t422 @t456 @t419 @t179 @t332 @t416 @t413 @t411 @t174 @t171 @t168 @t408 @t166 @t405 @t458 @t402 @t461 @t334 @t465 @t285 @t397 @t393 @t163 @t158 @t154 @t388 @t492 @t494 @t453 @t384 @t287)) % 2.02/2.30 (define @t498 () (not @t494)) % 2.02/2.30 (define @t499 () (tptp.multiply @t138 @t100)) % 2.02/2.30 (define @t500 () (tptp.multiply tptp.sk_c8 @t499)) % 2.02/2.30 (define @t501 () (tptp.multiply @t362 @t100)) % 2.02/2.30 (define @t502 () (tptp.multiply @t139 tptp.sk_c4)) % 2.02/2.30 (define @t503 () (= @t502 @t495)) % 2.02/2.30 (define @t504 () (tptp.multiply @t139 @t100)) % 2.02/2.30 (define @t505 () (= @t504 @t500)) % 2.02/2.30 (define @t506 () (tptp.multiply tptp.sk_c1 @t139)) % 2.02/2.30 (define @t507 () (= @t296 @t506)) % 2.02/2.30 (define @t508 () (tptp.multiply tptp.sk_c1 @t362)) % 2.02/2.30 (define @t509 () (tptp.multiply @t29 @t134)) % 2.02/2.30 (define @t510 () (= @t509 @t508)) % 2.02/2.30 (define @t511 () (tptp.multiply tptp.identity @t499)) % 2.02/2.30 (define @t512 () (= @t499 @t511)) % 2.02/2.30 (define @t513 () (tptp.multiply tptp.sk_c8 @t399)) % 2.02/2.30 (define @t514 () (= @t448 @t513)) % 2.02/2.30 (define @t515 () (tptp.multiply tptp.sk_c8 (tptp.multiply @t134 @t100))) % 2.02/2.30 (define @t516 () (= @t501 @t515)) % 2.02/2.30 (define @t517 () (tptp.multiply @t29 @t399)) % 2.02/2.30 (define @t518 () (= (tptp.multiply @t509 @t138) @t517)) % 2.02/2.30 (define @t519 () (tptp.multiply @t134 @t500)) % 2.02/2.30 (define @t520 () (tptp.multiply @t138 @t499)) % 2.02/2.30 (define @t521 () (= @t520 @t519)) % 2.02/2.30 (define @t522 () (= @t499 (tptp.multiply @t134 @t112))) % 2.02/2.30 (define @t523 () (tptp.multiply @t214 @t500)) % 2.02/2.30 (define @t524 () (= @t523 (tptp.multiply @t177 @t519))) % 2.02/2.30 (define @t525 () (tptp.multiply @t214 @t138)) % 2.02/2.30 (define @t526 () (= @t525 (tptp.multiply @t177 @t399))) % 2.02/2.30 (define @t527 () (tptp.multiply tptp.sk_c1 @t513)) % 2.02/2.30 (define @t528 () (= @t517 @t527)) % 2.02/2.30 (define @t529 () (tptp.multiply @t29 @t177)) % 2.02/2.30 (define @t530 () (tptp.multiply @t529 @t134)) % 2.02/2.30 (define @t531 () (= @t530 (tptp.multiply @t29 @t214))) % 2.02/2.30 (define @t532 () (tptp.multiply @t501 tptp.sk_c8)) % 2.02/2.30 (define @t533 () (tptp.multiply @t12 @t532)) % 2.02/2.30 (define @t534 () (= (tptp.multiply (tptp.multiply @t12 @t501) tptp.sk_c8) @t533)) % 2.02/2.30 (define @t535 () (tptp.multiply @t362 tptp.identity)) % 2.02/2.30 (define @t536 () (tptp.multiply @t535 @t100)) % 2.02/2.30 (define @t537 () (= @t536 (tptp.multiply @t362 @t253))) % 2.02/2.30 (define @t538 () (tptp.multiply @t491 @t499)) % 2.02/2.30 (define @t539 () (= @t538 (tptp.multiply tptp.sk_c8 @t511))) % 2.02/2.30 (define @t540 () (tptp.multiply tptp.identity tptp.sk_c1)) % 2.02/2.30 (define @t541 () (= tptp.sk_c1 @t540)) % 2.02/2.30 (define @t542 () (tptp.multiply @t112 @t220)) % 2.02/2.30 (define @t543 () (= @t264 @t542)) % 2.02/2.30 (define @t544 () (tptp.multiply tptp.sk_c1 tptp.sk_c6)) % 2.02/2.30 (define @t545 () (tptp.multiply tptp.identity @t544)) % 2.02/2.30 (define @t546 () (= (tptp.multiply @t540 tptp.sk_c6) @t545)) % 2.02/2.30 (define @t547 () (tptp.multiply tptp.sk_c1 tptp.identity)) % 2.02/2.30 (define @t548 () (tptp.multiply @t547 tptp.sk_c6)) % 2.02/2.30 (define @t549 () (= @t548 (tptp.multiply tptp.sk_c1 @t286))) % 2.02/2.30 (define @t550 () (and @t198 @t119 @t120 @t124 @t221 @t223 @t140 @t136 @t238 @t196 @t191 @t427 @t250 @t188 @t185 @t425 @t366 @t182 @t422 @t503 @t505 @t419 @t507 @t179 @t332 @t416 @t413 @t510 @t411 @t171 @t168 @t254 @t408 @t166 @t405 @t512 @t514 @t516 @t402 @t518 @t334 @t521 @t465 @t285 @t397 @t393 @t522 @t158 @t154 @t524 @t526 @t528 @t336 @t388 @t531 @t534 @t537 @t539 @t494 @t116 @t384 @t541 @t287 @t543 @t546 @t549)) % 2.02/2.30 (define @t551 () (@list true)) % 2.02/2.30 (define @t552 () (@list @t119)) % 2.02/2.30 (define @t553 () (@list false false)) % 2.02/2.30 (define @t554 () (@list @t240)) % 2.02/2.30 (define @t555 () (tptp.multiply @t106 @t220)) % 2.02/2.30 (define @t556 () (tptp.multiply @t110 tptp.sk_c8)) % 2.02/2.30 (define @t557 () (= @t556 @t555)) % 2.02/2.30 (define @t558 () (tptp.multiply @t111 @t556)) % 2.02/2.30 (define @t559 () (= (tptp.multiply (tptp.multiply @t111 @t110) tptp.sk_c8) @t558)) % 2.02/2.30 (define @t560 () (tptp.multiply @t187 @t220)) % 2.02/2.30 (define @t561 () (= @t560 (tptp.multiply @t111 @t555))) % 2.02/2.30 (define @t562 () (tptp.multiply tptp.sk_c7 @t10)) % 2.02/2.30 (define @t563 () (and @t198 @t224 @t238 @t236 @t196 @t250 @t188 @t182 @t329 @t557 @t332 @t254 @t334 @t262 @t336 @t559 @t116 @t339 @t342 @t561 @t343 @t346)) % 2.02/2.30 (assume @p1 @t4) % 2.02/2.30 (assume @p2 @t6) % 2.02/2.30 (assume @p3 @t9) % 2.02/2.30 (assume @p4 (or @t13 @t11)) % 2.02/2.30 (assume @p5 @t16) % 2.02/2.30 (assume @p6 @t19) % 2.02/2.30 (assume @p7 @t22) % 2.02/2.30 (assume @p8 @t25) % 2.02/2.30 (assume @p9 @t28) % 2.02/2.30 (assume @p10 (or @t30 @t11)) % 2.02/2.30 (assume @p11 @t31) % 2.02/2.30 (assume @p12 @t32) % 2.02/2.30 (assume @p13 @t33) % 2.02/2.30 (assume @p14 @t34) % 2.02/2.30 (assume @p15 @t35) % 2.02/2.30 (assume @p16 (or @t37 @t11)) % 2.02/2.30 (assume @p17 @t38) % 2.02/2.30 (assume @p18 @t39) % 2.02/2.30 (assume @p19 @t40) % 2.02/2.30 (assume @p20 @t41) % 2.02/2.30 (assume @p21 @t42) % 2.02/2.30 (assume @p22 @t45) % 2.02/2.30 (assume @p23 @t46) % 2.02/2.30 (assume @p24 @t47) % 2.02/2.30 (assume @p25 @t48) % 2.02/2.30 (assume @p26 @t49) % 2.02/2.30 (assume @p27 @t50) % 2.02/2.30 (assume @p28 (or @t52 @t11)) % 2.02/2.30 (assume @p29 @t53) % 2.02/2.30 (assume @p30 @t54) % 2.02/2.30 (assume @p31 @t55) % 2.02/2.30 (assume @p32 @t56) % 2.02/2.30 (assume @p33 @t57) % 2.02/2.30 (assume @p34 @t60) % 2.02/2.30 (assume @p35 @t61) % 2.02/2.30 (assume @p36 @t62) % 2.02/2.30 (assume @p37 @t63) % 2.02/2.30 (assume @p38 @t64) % 2.02/2.30 (assume @p39 @t65) % 2.02/2.30 (assume @p40 @t94) % 2.02/2.30 (step @p41 :rule eq-symm :args (@t5 tptp.identity)) % 2.02/2.30 (step @p42 :rule cong :premises (@p41) :args (@t6)) % 2.02/2.30 (step @p43 :rule eq_resolve :premises (@p2 @p42)) % 2.02/2.30 (step @p44 :rule instantiate :premises (@p43) :args (@t95)) % 2.02/2.30 (step @p45 :rule instantiate :premises (@p43) :args (@t101)) % 2.02/2.30 (step @p46 :rule instantiate :premises (@p43) :args ((@list @t106))) % 2.02/2.30 (step @p47 :rule eq-symm :args (@t2 @t1)) % 2.02/2.30 (step @p48 :rule cong :premises (@p47) :args (@t4)) % 2.02/2.30 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 2.02/2.30 (step @p50 :rule instantiate :premises (@p49) :args (@t95)) % 2.02/2.30 (step @p51 :rule instantiate :premises (@p49) :args ((@list @t10))) % 2.02/2.30 (step @p52 :rule instantiate :premises (@p3) :args ((@list @t106 @t100 tptp.sk_c8))) % 2.02/2.30 (step @p53 :rule instantiate :premises (@p3) :args ((@list @t100 @t100 tptp.sk_c8))) % 2.02/2.30 (step @p54 :rule instantiate :premises (@p49) :args (@t101)) % 2.02/2.30 (step @p55 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 @t107 tptp.sk_c8))) % 2.02/2.30 (step @p56 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 @t108 tptp.sk_c8))) % 2.02/2.30 (step @p57 :rule instantiate :premises (@p3) :args ((@list @t109 tptp.identity @t100))) % 2.02/2.30 (step @p58 :rule instantiate :premises (@p3) :args ((@list @t111 @t110 tptp.sk_c8))) % 2.02/2.30 (step @p59 :rule eq-symm :args (@t113 @t108)) % 2.02/2.30 (step @p60 :rule refl :args (@t9)) % 2.02/2.30 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t9 @t114))) % 2.02/2.30 (assume-push @p3918 @t9) % 2.02/2.30 (step @p63 :rule instantiate :premises (@p3) :args (@t115)) % 2.02/2.30 (step-pop @p3919 :rule scope :premises (@p63)) % 2.02/2.30 (step @p64 :rule process_scope :premises (@p3919) :args (@t114)) % 2.02/2.30 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 2.02/2.30 (step @p67 :rule implies_elim :premises (@p66)) % 2.02/2.30 (step @p68 :rule chain_m_resolution :premises (@p67 @p3) :args (@t116 @t117 @t118)) % 2.02/2.30 (step @p69 :rule eq-symm :args (@t14 tptp.sk_c7)) % 2.02/2.30 (step @p70 :rule eq-symm :args (@t12 tptp.sk_c7)) % 2.02/2.30 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t16)) % 2.02/2.30 (step @p72 :rule eq_resolve :premises (@p5 @p71)) % 2.02/2.30 (step @p73 :rule eq-symm :args (@t17 tptp.sk_c8)) % 2.02/2.30 (step @p74 :rule nary_cong :premises (@p70 @p73) :args (@t19)) % 2.02/2.30 (step @p75 :rule eq_resolve :premises (@p6 @p74)) % 2.02/2.30 (step @p76 :rule eq-symm :args (@t20 tptp.sk_c7)) % 2.02/2.30 (step @p77 :rule nary_cong :premises (@p70 @p76) :args (@t22)) % 2.02/2.30 (step @p78 :rule eq_resolve :premises (@p7 @p77)) % 2.02/2.30 (step @p79 :rule eq-symm :args (@t23 tptp.sk_c5)) % 2.02/2.30 (step @p80 :rule nary_cong :premises (@p70 @p79) :args (@t25)) % 2.02/2.30 (step @p81 :rule eq_resolve :premises (@p8 @p80)) % 2.02/2.30 (step @p82 :rule eq-symm :args (@t26 tptp.sk_c8)) % 2.02/2.30 (step @p83 :rule nary_cong :premises (@p70 @p82) :args (@t28)) % 2.02/2.30 (step @p84 :rule eq_resolve :premises (@p9 @p83)) % 2.02/2.30 (assume-push @p3920 @t119) % 2.02/2.30 (assume-push @p3921 @t120) % 2.02/2.30 (assume-push @p3922 @t120) % 2.02/2.30 (assume-push @p3923 @t119) % 2.02/2.30 (step @p89 :rule refl :args (tptp.sk_c8)) % 2.02/2.30 (step @p90 :rule cong :premises (@p89 @p3921) :args (@t20)) % 2.02/2.30 (step @p91 :rule trans :premises (@p3920 @p90)) % 2.02/2.30 (step-pop @p3924 :rule scope :premises (@p91)) % 2.02/2.30 (step-pop @p3925 :rule scope :premises (@p3924)) % 2.02/2.30 (step @p92 :rule process_scope :premises (@p3925) :args (@t122)) % 2.02/2.30 (step @p95 :rule and_intro :premises (@p3921 @p3920)) % 2.02/2.30 (step @p96 :rule modus_ponens :premises (@p95 @p92)) % 2.02/2.30 (step-pop @p3926 :rule scope :premises (@p96)) % 2.02/2.30 (step-pop @p3927 :rule scope :premises (@p3926)) % 2.02/2.30 (step @p97 :rule process_scope :premises (@p3927) :args (@t122)) % 2.02/2.30 (step @p100 :rule implies_elim :premises (@p97)) % 2.02/2.30 (step @p101 :rule cnf_and_neg :args (@t123)) % 2.02/2.30 (step @p102 :rule resolution :premises (@p101 @p100) :args (true @t123)) % 2.02/2.30 (step @p103 :rule cnf_or_pos :args (@t127)) % 2.02/2.30 (step @p104 :rule reordering :premises (@p103) :args ((or @t125 @t126 (not @t127)))) % 2.02/2.30 (assume-push @p3928 @t132) % 2.02/2.30 (step @p106 :rule instantiate :premises (@p3928) :args (@t133)) % 2.02/2.30 (step-pop @p3929 :rule scope :premises (@p106)) % 2.02/2.30 (step @p107 :rule process_scope :premises (@p3929) :args (@t127)) % 2.02/2.30 (step @p109 :rule implies_elim :premises (@p107)) % 2.02/2.30 (step @p110 :rule refl :args (@t143)) % 2.02/2.30 (step @p111 :rule bool-double-not-elim :args (@t132)) % 2.02/2.30 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t144) @t143))) % 2.02/2.30 (assume-push @p3930 @t144) % 2.02/2.30 (step @p114 :rule skolemize :premises (@p3930)) % 2.02/2.30 (step-pop @p3931 :rule scope :premises (@p114)) % 2.02/2.30 (step @p115 :rule process_scope :premises (@p3931) :args (@t143)) % 2.02/2.30 (step @p117 :rule implies_elim :premises (@p115)) % 2.02/2.30 (step @p118 :rule eq_resolve :premises (@p117 @p112)) % 2.02/2.30 (step @p119 :rule bool-double-not-elim :args (@t140)) % 2.02/2.30 (step @p120 :rule refl :args (@t142)) % 2.02/2.30 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t142 (not @t141)))) % 2.02/2.30 (step @p122 :rule cnf_or_neg :args (@t142 0)) % 2.02/2.30 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 2.02/2.30 (step @p124 :rule reordering :premises (@p123) :args ((or @t140 @t142))) % 2.02/2.30 (step @p125 :rule instantiate :premises (@p43) :args (@t145)) % 2.02/2.30 (step @p126 :rule instantiate :premises (@p43) :args (@t133)) % 2.02/2.30 (step @p127 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 tptp.sk_c4 tptp.sk_c8))) % 2.02/2.30 (step @p128 :rule instantiate :premises (@p3) :args ((@list @t12 tptp.sk_c8 @t138))) % 2.02/2.30 (step @p129 :rule instantiate :premises (@p49) :args (@t145)) % 2.02/2.30 (step @p130 :rule instantiate :premises (@p49) :args (@t133)) % 2.02/2.30 (step @p131 :rule instantiate :premises (@p49) :args (@t146)) % 2.02/2.30 (step @p132 :rule instantiate :premises (@p49) :args ((@list @t138))) % 2.02/2.30 (step @p133 :rule instantiate :premises (@p3) :args ((@list @t134 tptp.sk_c8 tptp.sk_c3))) % 2.02/2.30 (step @p134 :rule instantiate :premises (@p3) :args ((@list @t134 tptp.sk_c8 tptp.sk_c4))) % 2.02/2.30 (step @p135 :rule instantiate :premises (@p3) :args ((@list @t134 tptp.sk_c8 tptp.sk_c5))) % 2.02/2.30 (step @p136 :rule instantiate :premises (@p3) :args ((@list @t138 tptp.sk_c4 tptp.sk_c8))) % 2.02/2.30 (step @p137 :rule refl :args (@t151)) % 2.02/2.30 (step @p138 :rule refl :args (@t155)) % 2.02/2.30 (step @p139 :rule refl :args (@t159)) % 2.02/2.30 (step @p140 :rule refl :args (@t164)) % 2.02/2.30 (step @p141 :rule refl :args (@t167)) % 2.02/2.30 (step @p142 :rule refl :args (@t169)) % 2.02/2.30 (step @p143 :rule refl :args (@t172)) % 2.02/2.30 (step @p144 :rule refl :args (@t175)) % 2.02/2.30 (step @p145 :rule refl :args (@t180)) % 2.02/2.30 (step @p146 :rule refl :args (@t183)) % 2.02/2.30 (step @p147 :rule refl :args (@t186)) % 2.02/2.30 (step @p148 :rule refl :args (@t189)) % 2.02/2.30 (step @p149 :rule refl :args (@t192)) % 2.02/2.30 (step @p150 :rule refl :args (@t195)) % 2.02/2.30 (step @p151 :rule refl :args (@t197)) % 2.02/2.30 (step @p152 :rule refl :args (@t141)) % 2.02/2.30 (step @p153 :rule bool-double-not-elim :args (@t198)) % 2.02/2.30 (step @p154 :rule refl :args (@t125)) % 2.02/2.30 (step @p155 :rule refl :args (@t199)) % 2.02/2.30 (step @p156 :rule refl :args (@t200)) % 2.02/2.30 (step @p157 :rule refl :args (@t202)) % 2.02/2.30 (step @p158 :rule refl :args (@t204)) % 2.02/2.30 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137) :args ((or @t204 @t202 @t200 @t199 @t125 (not @t205) @t141 @t197 @t195 @t192 @t189 @t186 @t183 @t180 @t175 @t172 @t169 @t167 @t164 @t159 @t155 @t151))) % 2.02/2.30 (assume-push @p3932 @t208) % 2.02/2.30 (assume-push @p3933 @t207) % 2.02/2.30 (step @p162 :rule evaluate :args (@t209)) % 2.02/2.30 (step @p163 :rule true_intro :premises (@p3933)) % 2.02/2.30 (step @p164 :rule false_intro :premises (@p3932)) % 2.02/2.30 (step @p165 :rule symm :premises (@p164)) % 2.02/2.30 (step @p166 :rule trans :premises (@p165 @p163)) % 2.02/2.30 (step @p167 false :rule eq_resolve :premises (@p166 @p162)) % 2.02/2.30 (step-pop @p3934 :rule scope :premises (@p167)) % 2.02/2.30 (step-pop @p3935 :rule scope :premises (@p3934)) % 2.02/2.30 (step @p168 :rule process_scope :premises (@p3935) :args (false)) % 2.02/2.30 (assume-push @p3936 @t203) % 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@p3840 @p377 @p378 @p3816 @p3046 @p3812 @p3811 @p3839 @p5770 @p3838)) % 0.34/2.31 (step @p3848 :rule symm :premises (@p58)) % 0.34/2.31 (step @p3849 :rule symm :premises (@p3846)) % 0.34/2.31 (step @p3850 :rule symm :premises (@p3843)) % 0.34/2.31 (step @p3851 :rule symm :premises (@p3841)) % 0.34/2.31 (step @p3852 :rule symm :premises (@p3840)) % 0.34/2.31 (step @p3853 :rule trans :premises (@p55 @p3824 @p999 @p998 @p3852 @p3851 @p3850 @p379 @p3849 @p3848)) % 0.34/2.31 (step @p3854 :rule trans :premises (@p3853 @p3847 @p3837 @p3834 @p5770)) % 0.34/2.31 (step @p3855 :rule cong :premises (@p3854 @p3805) :args (@t348)) % 0.34/2.31 (step @p3856 :rule symm :premises (@p3833)) % 0.34/2.31 (step @p3857 :rule symm :premises (@p3854)) % 0.34/2.31 (step @p3858 :rule cong :premises (@p3857 @p3856) :args (@t344)) % 0.34/2.31 (step @p3859 :rule symm :premises (@p3812)) % 0.34/2.31 (step @p3860 :rule symm :premises (@p3811)) % 0.34/2.31 (step @p3861 :rule trans :premises (@p3836 @p3835 @p5772 @p3860 @p3859 @p55 @p3824 @p999 @p998 @p997 @p381 @p3858 @p3855 @p216 @p46)) % 0.34/2.31 (step @p3862 :rule trans :premises (@p3853 @p3847 @p3861 @p218)) % 0.34/2.31 (step @p3863 :rule cong :premises (@p3862 @p3833) :args (@t348)) % 0.34/2.31 (step @p3864 :rule trans :premises (@p5772 @p3860 @p3859 @p55 @p3824 @p999 @p998 @p997 @p381 @p3858 @p3863 @p968 @p3803)) % 0.34/2.31 (step-pop @p5814 :rule scope :premises (@p3864)) % 0.34/2.31 (step-pop @p5815 :rule scope :premises (@p5814)) % 0.34/2.31 (step-pop @p5816 :rule scope :premises (@p5815)) % 0.34/2.31 (step-pop @p5817 :rule scope :premises (@p5816)) % 0.34/2.31 (step-pop @p5818 :rule scope :premises (@p5817)) % 0.34/2.31 (step-pop @p5819 :rule scope :premises (@p5818)) % 0.34/2.31 (step-pop @p5820 :rule scope :premises (@p5819)) % 0.34/2.31 (step-pop @p5821 :rule scope :premises (@p5820)) % 0.34/2.31 (step-pop @p5822 :rule scope :premises (@p5821)) % 0.34/2.31 (step-pop @p5823 :rule scope :premises (@p5822)) % 0.34/2.31 (step-pop @p5824 :rule scope :premises (@p5823)) % 0.34/2.31 (step-pop @p5825 :rule scope :premises (@p5824)) % 0.34/2.31 (step-pop @p5826 :rule scope :premises (@p5825)) % 0.34/2.31 (step-pop @p5827 :rule scope :premises (@p5826)) % 0.34/2.31 (step-pop @p5828 :rule scope :premises (@p5827)) % 0.34/2.31 (step-pop @p5829 :rule scope :premises (@p5828)) % 0.34/2.31 (step-pop @p5830 :rule scope :premises (@p5829)) % 0.34/2.31 (step-pop @p5831 :rule scope :premises (@p5830)) % 0.34/2.31 (step-pop @p5832 :rule scope :premises (@p5831)) % 0.34/2.31 (step-pop @p5833 :rule scope :premises (@p5832)) % 0.34/2.31 (step-pop @p5834 :rule scope :premises (@p5833)) % 0.34/2.31 (step-pop @p5835 :rule scope :premises (@p5834)) % 0.34/2.31 (step @p3865 :rule process_scope :premises (@p5835) :args (@t325)) % 0.34/2.31 (step @p3888 :rule and_intro :premises (@p5772 @p51 @p46 @p44 @p5770 @p5771 @p5773 @p54 @p45 @p68 @p55 @p53 @p380 @p378 @p377 @p57 @p379 @p52 @p58 @p50 @p56 @p381)) % 0.34/2.31 (step @p3889 :rule modus_ponens :premises (@p3888 @p3865)) % 0.34/2.31 (step-pop @p5836 :rule scope :premises (@p3889)) % 0.34/2.31 (step-pop @p5837 :rule scope :premises (@p5836)) % 0.34/2.31 (step-pop @p5838 :rule scope :premises (@p5837)) % 0.34/2.31 (step-pop @p5839 :rule scope :premises (@p5838)) % 0.34/2.31 (step-pop @p5840 :rule scope :premises (@p5839)) % 0.34/2.31 (step-pop @p5841 :rule scope :premises (@p5840)) % 0.34/2.31 (step-pop @p5842 :rule scope :premises (@p5841)) % 0.34/2.31 (step-pop @p5843 :rule scope :premises (@p5842)) % 0.34/2.31 (step-pop @p5844 :rule scope :premises (@p5843)) % 0.34/2.31 (step-pop @p5845 :rule scope :premises (@p5844)) % 0.34/2.31 (step-pop @p5846 :rule scope :premises (@p5845)) % 0.34/2.31 (step-pop @p5847 :rule scope :premises (@p5846)) % 0.34/2.31 (step-pop @p5848 :rule scope :premises (@p5847)) % 0.34/2.31 (step-pop @p5849 :rule scope :premises (@p5848)) % 0.34/2.31 (step-pop @p5850 :rule scope :premises (@p5849)) % 0.34/2.31 (step-pop @p5851 :rule scope :premises (@p5850)) % 0.34/2.31 (step-pop @p5852 :rule scope :premises (@p5851)) % 0.34/2.31 (step-pop @p5853 :rule scope :premises (@p5852)) % 0.34/2.31 (step-pop @p5854 :rule scope :premises (@p5853)) % 0.34/2.31 (step-pop @p5855 :rule scope :premises (@p5854)) % 0.34/2.31 (step-pop @p5856 :rule scope :premises (@p5855)) % 0.34/2.31 (step-pop @p5857 :rule scope :premises (@p5856)) % 0.34/2.31 (step @p3890 :rule process_scope :premises (@p5857) :args (@t325)) % 0.34/2.31 (step @p3913 :rule implies_elim :premises (@p3890)) % 0.34/2.31 (step @p3914 :rule cnf_and_neg :args (@t563)) % 0.34/2.31 (step @p3915 :rule resolution :premises (@p3914 @p3913) :args (true @t563)) % 0.34/2.31 (step @p3916 :rule reordering :premises (@p3915) :args ((or @t205 @t231 @t239 @t237 @t197 @t275 @t189 @t183 @t357 (not @t557) @t356 @t273 @t355 @t325 @t271 @t354 (not @t559) @t270 @t353 @t352 (not @t561) @t351 @t350))) % 0.34/2.31 (step @p3917 false :rule chain_m_resolution :premises (@p3916 @p3758 @p3743 @p3742 @p3730 @p381 @p380 @p379 @p378 @p377 @p376 @p68 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p46 @p45 @p44) :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) (@list @t325 @t236 @t238 @t224 @t346 @t343 @t561 @t342 @t339 @t198 @t116 @t559 @t336 @t262 @t334 @t254 @t332 @t557 @t329 @t182 @t188 @t250 @t196))) % 0.34/2.31 ) % 0.34/2.31 % SZS output end Proof % 0.34/2.31 % cvc5 exiting %------------------------------------------------------------------------------