%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP364-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:20:36 AM UTC 2026 % Result : Unsatisfiable 0.83s 1.09s % Output : Proof 0.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP364-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:02:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.83/1.09 % SZS status Unsatisfiable % 0.83/1.09 % SZS output start Proof % 0.83/1.12 ( % 0.83/1.12 (declare-sort $$unsorted 0) % 0.83/1.12 (declare-const tptp.sk_c1 $$unsorted) % 0.83/1.12 (declare-const tptp.sk_c5 $$unsorted) % 0.83/1.12 (declare-const tptp.sk_c9 $$unsorted) % 0.83/1.12 (declare-const tptp.sk_c6 $$unsorted) % 0.83/1.12 (declare-const tptp.sk_c8 $$unsorted) % 0.83/1.12 (declare-const tptp.sk_c3 $$unsorted) % 0.83/1.12 (declare-const tptp.sk_c2 $$unsorted) % 0.83/1.12 (declare-const tptp.sk_c7 $$unsorted) % 0.83/1.12 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.83/1.12 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.12 (declare-const tptp.sk_c4 $$unsorted) % 0.83/1.12 (declare-const tptp.identity $$unsorted) % 0.83/1.12 (define @t1 () (@var "X" $$unsorted)) % 0.83/1.12 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.83/1.12 (define @t3 () (@list @t1)) % 0.83/1.12 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.83/1.12 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.83/1.12 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.83/1.12 (define @t7 () (@var "Z" $$unsorted)) % 0.83/1.12 (define @t8 () (@var "Y" $$unsorted)) % 0.83/1.12 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.83/1.12 (define @t10 () (tptp.multiply tptp.sk_c9 tptp.sk_c8)) % 0.83/1.12 (define @t11 () (= @t10 tptp.sk_c7)) % 0.83/1.12 (define @t12 () (tptp.multiply tptp.sk_c7 tptp.sk_c9)) % 0.83/1.12 (define @t13 () (= @t12 tptp.sk_c8)) % 0.83/1.12 (define @t14 () (or @t13 @t11)) % 0.83/1.12 (define @t15 () (tptp.multiply tptp.sk_c4 tptp.sk_c9)) % 0.83/1.12 (define @t16 () (= @t15 tptp.sk_c8)) % 0.83/1.12 (define @t17 () (or @t13 @t16)) % 0.83/1.12 (define @t18 () (tptp.inverse tptp.sk_c4)) % 0.83/1.12 (define @t19 () (= @t18 tptp.sk_c9)) % 0.83/1.12 (define @t20 () (or @t13 @t19)) % 0.83/1.12 (define @t21 () (tptp.multiply tptp.sk_c9 tptp.sk_c6)) % 0.83/1.12 (define @t22 () (= @t21 tptp.sk_c8)) % 0.83/1.12 (define @t23 () (or @t13 @t22)) % 0.83/1.12 (define @t24 () (tptp.multiply tptp.sk_c5 tptp.sk_c9)) % 0.83/1.12 (define @t25 () (= @t24 tptp.sk_c6)) % 0.83/1.12 (define @t26 () (or @t13 @t25)) % 0.83/1.12 (define @t27 () (tptp.inverse tptp.sk_c5)) % 0.83/1.12 (define @t28 () (= @t27 tptp.sk_c9)) % 0.83/1.12 (define @t29 () (or @t13 @t28)) % 0.83/1.12 (define @t30 () (tptp.multiply tptp.sk_c9 tptp.sk_c2)) % 0.83/1.12 (define @t31 () (= @t30 tptp.sk_c8)) % 0.83/1.12 (define @t32 () (or @t31 @t11)) % 0.83/1.12 (define @t33 () (or @t31 @t22)) % 0.83/1.12 (define @t34 () (or @t31 @t25)) % 0.83/1.12 (define @t35 () (or @t31 @t28)) % 0.83/1.12 (define @t36 () (tptp.multiply tptp.sk_c1 tptp.sk_c9)) % 0.83/1.12 (define @t37 () (= @t36 tptp.sk_c2)) % 0.83/1.12 (define @t38 () (or @t37 @t11)) % 0.83/1.12 (define @t39 () (or @t37 @t22)) % 0.83/1.12 (define @t40 () (or @t37 @t25)) % 0.83/1.12 (define @t41 () (or @t37 @t28)) % 0.83/1.12 (define @t42 () (tptp.inverse tptp.sk_c1)) % 0.83/1.12 (define @t43 () (= @t42 tptp.sk_c9)) % 0.83/1.12 (define @t44 () (or @t43 @t11)) % 0.83/1.12 (define @t45 () (or @t43 @t22)) % 0.83/1.12 (define @t46 () (or @t43 @t25)) % 0.83/1.12 (define @t47 () (or @t43 @t28)) % 0.83/1.12 (define @t48 () (tptp.multiply tptp.sk_c3 tptp.sk_c7)) % 0.83/1.12 (define @t49 () (= @t48 tptp.sk_c9)) % 0.83/1.12 (define @t50 () (or @t49 @t11)) % 0.83/1.12 (define @t51 () (or @t49 @t16)) % 0.83/1.12 (define @t52 () (or @t49 @t19)) % 0.83/1.12 (define @t53 () (or @t49 @t22)) % 0.83/1.12 (define @t54 () (or @t49 @t25)) % 0.83/1.12 (define @t55 () (or @t49 @t28)) % 0.83/1.12 (define @t56 () (tptp.inverse tptp.sk_c3)) % 0.83/1.12 (define @t57 () (= @t56 tptp.sk_c7)) % 0.83/1.12 (define @t58 () (or @t57 @t11)) % 0.83/1.12 (define @t59 () (or @t57 @t16)) % 0.83/1.12 (define @t60 () (or @t57 @t19)) % 0.83/1.12 (define @t61 () (or @t57 @t22)) % 0.83/1.12 (define @t62 () (or @t57 @t25)) % 0.83/1.12 (define @t63 () (or @t57 @t28)) % 0.83/1.12 (define @t64 () (@var "X3" $$unsorted)) % 0.83/1.12 (define @t65 () (tptp.inverse @t64)) % 0.83/1.12 (define @t66 () (not (= @t65 tptp.sk_c9))) % 0.83/1.12 (define @t67 () (@var "X2" $$unsorted)) % 0.83/1.12 (define @t68 () (tptp.multiply @t64 tptp.sk_c9)) % 0.83/1.12 (define @t69 () (not (= @t68 @t67))) % 0.83/1.12 (define @t70 () (tptp.multiply tptp.sk_c9 @t67)) % 0.83/1.12 (define @t71 () (not (= @t70 tptp.sk_c8))) % 0.83/1.12 (define @t72 () (@var "X1" $$unsorted)) % 0.83/1.12 (define @t73 () (tptp.inverse @t72)) % 0.83/1.12 (define @t74 () (not (= @t73 tptp.sk_c9))) % 0.83/1.12 (define @t75 () (tptp.multiply @t72 tptp.sk_c9)) % 0.83/1.12 (define @t76 () (not (= @t75 tptp.sk_c8))) % 0.83/1.12 (define @t77 () (not @t11)) % 0.83/1.12 (define @t78 () (@var "X6" $$unsorted)) % 0.83/1.12 (define @t79 () (tptp.inverse @t78)) % 0.83/1.12 (define @t80 () (not (= @t79 tptp.sk_c7))) % 0.83/1.12 (define @t81 () (tptp.multiply @t78 tptp.sk_c7)) % 0.83/1.12 (define @t82 () (not (= @t81 tptp.sk_c9))) % 0.83/1.12 (define @t83 () (@var "X5" $$unsorted)) % 0.83/1.12 (define @t84 () (tptp.inverse @t83)) % 0.83/1.12 (define @t85 () (not (= @t84 tptp.sk_c9))) % 0.83/1.12 (define @t86 () (@var "X4" $$unsorted)) % 0.83/1.12 (define @t87 () (tptp.multiply @t83 tptp.sk_c9)) % 0.83/1.12 (define @t88 () (not (= @t87 @t86))) % 0.83/1.12 (define @t89 () (tptp.multiply tptp.sk_c9 @t86)) % 0.83/1.12 (define @t90 () (not (= @t89 tptp.sk_c8))) % 0.83/1.12 (define @t91 () (not @t13)) % 0.83/1.12 (define @t92 () (or @t91 @t90 @t88 @t85 @t82 @t80 @t77 @t76 @t74 @t71 @t69 @t66)) % 0.83/1.12 (define @t93 () (@list @t86 @t83 @t78 @t72 @t67 @t64)) % 0.83/1.12 (define @t94 () (forall @t93 @t92)) % 0.83/1.12 (define @t95 () (@list tptp.sk_c5)) % 0.83/1.12 (define @t96 () (not (= tptp.sk_c9 @t73))) % 0.83/1.12 (define @t97 () (not (= tptp.sk_c8 @t75))) % 0.83/1.12 (define @t98 () (or @t97 @t96)) % 0.83/1.12 (define @t99 () (forall (@list @t72) @t98)) % 0.83/1.12 (define @t100 () (@quantifiers_skolemize @t99 0)) % 0.83/1.12 (define @t101 () (tptp.multiply @t100 tptp.sk_c9)) % 0.83/1.12 (define @t102 () (= tptp.sk_c8 @t101)) % 0.83/1.12 (define @t103 () (tptp.inverse @t100)) % 0.83/1.12 (define @t104 () (= tptp.sk_c9 @t103)) % 0.83/1.12 (define @t105 () (not @t104)) % 0.83/1.12 (define @t106 () (not @t102)) % 0.83/1.12 (define @t107 () (or @t106 @t105)) % 0.83/1.12 (define @t108 () (not (= tptp.sk_c7 @t79))) % 0.83/1.12 (define @t109 () (not (= tptp.sk_c9 @t81))) % 0.83/1.12 (define @t110 () (or @t109 @t108)) % 0.83/1.12 (define @t111 () (forall (@list @t78) @t110)) % 0.83/1.12 (define @t112 () (@quantifiers_skolemize @t111 0)) % 0.83/1.12 (define @t113 () (@list @t112)) % 0.83/1.12 (define @t114 () (= tptp.sk_c7 @t10)) % 0.83/1.12 (define @t115 () (= tptp.sk_c8 @t21)) % 0.83/1.12 (define @t116 () (= tptp.sk_c6 @t24)) % 0.83/1.12 (define @t117 () (= tptp.sk_c9 @t27)) % 0.83/1.12 (define @t118 () (tptp.inverse @t112)) % 0.83/1.12 (define @t119 () (= tptp.sk_c7 @t118)) % 0.83/1.12 (define @t120 () (tptp.multiply @t27 tptp.sk_c5)) % 0.83/1.12 (define @t121 () (= tptp.identity @t120)) % 0.83/1.12 (define @t122 () (tptp.multiply @t103 @t100)) % 0.83/1.12 (define @t123 () (= tptp.identity @t122)) % 0.83/1.12 (define @t124 () (tptp.multiply @t118 @t112)) % 0.83/1.12 (define @t125 () (= tptp.identity @t124)) % 0.83/1.12 (define @t126 () (tptp.multiply tptp.sk_c8 tptp.sk_c9)) % 0.83/1.12 (define @t127 () (tptp.multiply tptp.sk_c9 @t126)) % 0.83/1.12 (define @t128 () (tptp.multiply @t10 tptp.sk_c9)) % 0.83/1.12 (define @t129 () (= @t128 @t127)) % 0.83/1.12 (define @t130 () (tptp.multiply tptp.sk_c9 @t101)) % 0.83/1.12 (define @t131 () (tptp.multiply tptp.sk_c9 @t100)) % 0.83/1.12 (define @t132 () (tptp.multiply @t131 tptp.sk_c9)) % 0.83/1.12 (define @t133 () (= @t132 @t130)) % 0.83/1.12 (define @t134 () (tptp.multiply tptp.sk_c9 @t24)) % 0.83/1.12 (define @t135 () (tptp.multiply tptp.sk_c9 tptp.sk_c5)) % 0.83/1.12 (define @t136 () (tptp.multiply @t135 tptp.sk_c9)) % 0.83/1.12 (define @t137 () (= @t136 @t134)) % 0.83/1.12 (define @t138 () (tptp.multiply tptp.identity tptp.sk_c9)) % 0.83/1.12 (define @t139 () (= tptp.sk_c9 @t138)) % 0.83/1.12 (define @t140 () (tptp.multiply tptp.identity tptp.sk_c7)) % 0.83/1.12 (define @t141 () (= tptp.sk_c7 @t140)) % 0.83/1.12 (define @t142 () (tptp.multiply tptp.sk_c7 @t112)) % 0.83/1.12 (define @t143 () (tptp.multiply @t142 tptp.sk_c7)) % 0.83/1.12 (define @t144 () (tptp.multiply @t142 tptp.sk_c9)) % 0.83/1.12 (define @t145 () (= tptp.sk_c8 @t12)) % 0.83/1.12 (define @t146 () (and @t114 @t115 @t116 @t117 @t102 @t104 @t119 @t121 @t123 @t125 @t129 @t133 @t137 @t139 @t141)) % 0.83/1.12 (define @t147 () (not @t141)) % 0.83/1.12 (define @t148 () (not @t139)) % 0.83/1.12 (define @t149 () (not @t137)) % 0.83/1.12 (define @t150 () (not @t133)) % 0.83/1.12 (define @t151 () (not @t125)) % 0.83/1.12 (define @t152 () (not @t123)) % 0.83/1.12 (define @t153 () (not @t121)) % 0.83/1.12 (define @t154 () (not @t119)) % 0.83/1.12 (define @t155 () (not @t117)) % 0.83/1.12 (define @t156 () (not @t116)) % 0.83/1.12 (define @t157 () (not @t115)) % 0.83/1.12 (define @t158 () (not @t114)) % 0.83/1.12 (define @t159 () (= tptp.sk_c9 @t18)) % 0.83/1.12 (define @t160 () (not @t159)) % 0.83/1.12 (define @t161 () (= tptp.sk_c8 @t15)) % 0.83/1.12 (define @t162 () (not @t161)) % 0.83/1.12 (define @t163 () (or @t162 @t160)) % 0.83/1.12 (define @t164 () (not @t163)) % 0.83/1.12 (define @t165 () (not @t107)) % 0.83/1.12 (define @t166 () (not @t99)) % 0.83/1.12 (define @t167 () (@list tptp.sk_c4)) % 0.83/1.12 (define @t168 () (= tptp.sk_c8 @t30)) % 0.83/1.12 (define @t169 () (= tptp.sk_c2 @t36)) % 0.83/1.12 (define @t170 () (= tptp.sk_c9 @t42)) % 0.83/1.12 (define @t171 () (= tptp.sk_c9 @t48)) % 0.83/1.12 (define @t172 () (= tptp.sk_c7 @t56)) % 0.83/1.12 (define @t173 () (not @t172)) % 0.83/1.12 (define @t174 () (not @t171)) % 0.83/1.12 (define @t175 () (or @t174 @t173)) % 0.83/1.12 (define @t176 () (not @t175)) % 0.83/1.12 (define @t177 () (tptp.multiply @t112 tptp.sk_c7)) % 0.83/1.12 (define @t178 () (= tptp.sk_c9 @t177)) % 0.83/1.12 (define @t179 () (tptp.multiply tptp.sk_c1 @t177)) % 0.83/1.12 (define @t180 () (tptp.multiply (tptp.multiply tptp.sk_c1 @t112) tptp.sk_c7)) % 0.83/1.12 (define @t181 () (= @t180 @t179)) % 0.83/1.12 (define @t182 () (tptp.multiply @t112 @t10)) % 0.83/1.12 (define @t183 () (tptp.multiply @t112 tptp.sk_c9)) % 0.83/1.12 (define @t184 () (tptp.multiply @t183 tptp.sk_c8)) % 0.83/1.12 (define @t185 () (= @t184 @t182)) % 0.83/1.12 (define @t186 () (tptp.multiply tptp.identity @t112)) % 0.83/1.12 (define @t187 () (= @t112 @t186)) % 0.83/1.12 (define @t188 () (tptp.multiply tptp.sk_c9 @t180)) % 0.83/1.12 (define @t189 () (tptp.multiply @t142 @t112)) % 0.83/1.12 (define @t190 () (tptp.multiply @t189 tptp.sk_c7)) % 0.83/1.12 (define @t191 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 @t36))) % 0.83/1.12 (define @t192 () (and @t114 @t168 @t169 @t178 @t119 @t125 @t181 @t185 @t187)) % 0.83/1.12 (define @t193 () (not @t170)) % 0.83/1.12 (define @t194 () (not @t191)) % 0.83/1.12 (define @t195 () (or @t194 @t193)) % 0.83/1.12 (define @t196 () (not @t195)) % 0.83/1.12 (define @t197 () (not (= tptp.sk_c9 @t84))) % 0.83/1.12 (define @t198 () (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 @t87)))) % 0.83/1.12 (define @t199 () (or @t198 @t197)) % 0.83/1.12 (define @t200 () (@list @t83)) % 0.83/1.12 (define @t201 () (forall @t200 @t199)) % 0.83/1.12 (define @t202 () (@list tptp.sk_c1)) % 0.83/1.12 (define @t203 () (@quantifiers_skolemize @t201 0)) % 0.83/1.12 (define @t204 () (tptp.inverse @t203)) % 0.83/1.12 (define @t205 () (= tptp.sk_c9 @t204)) % 0.83/1.12 (define @t206 () (not @t205)) % 0.83/1.12 (define @t207 () (tptp.multiply @t203 tptp.sk_c9)) % 0.83/1.12 (define @t208 () (tptp.multiply tptp.sk_c9 @t207)) % 0.83/1.12 (define @t209 () (= tptp.sk_c8 @t208)) % 0.83/1.12 (define @t210 () (not @t209)) % 0.83/1.12 (define @t211 () (or @t210 @t206)) % 0.83/1.12 (define @t212 () (not @t211)) % 0.83/1.12 (define @t213 () (not @t201)) % 0.83/1.12 (define @t214 () (not (= tptp.sk_c9 @t65))) % 0.83/1.12 (define @t215 () (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 @t68)))) % 0.83/1.12 (define @t216 () (or @t215 @t214)) % 0.83/1.12 (define @t217 () (not (= @t68 @t68))) % 0.83/1.12 (define @t218 () (or @t215 @t217 @t214)) % 0.83/1.12 (define @t219 () (@list @t64)) % 0.83/1.12 (define @t220 () (not (= @t67 @t68))) % 0.83/1.12 (define @t221 () (not (= tptp.sk_c8 @t70))) % 0.83/1.12 (define @t222 () (or @t220 @t221 @t220 @t214)) % 0.83/1.12 (define @t223 () (@list @t67)) % 0.83/1.12 (define @t224 () (or @t221 @t220 @t214)) % 0.83/1.12 (define @t225 () (forall @t223 @t224)) % 0.83/1.12 (define @t226 () (forall @t219 @t225)) % 0.83/1.12 (define @t227 () (forall (@list @t64 @t67) @t224)) % 0.83/1.12 (define @t228 () (forall (@list @t67 @t64) @t224)) % 0.83/1.12 (define @t229 () (not (= @t87 @t87))) % 0.83/1.12 (define @t230 () (or @t198 @t229 @t197)) % 0.83/1.12 (define @t231 () (not (= @t86 @t87))) % 0.83/1.12 (define @t232 () (not (= tptp.sk_c8 @t89))) % 0.83/1.12 (define @t233 () (or @t231 @t232 @t231 @t197)) % 0.83/1.12 (define @t234 () (@list @t86)) % 0.83/1.12 (define @t235 () (or @t232 @t231 @t197)) % 0.83/1.12 (define @t236 () (forall @t234 @t235)) % 0.83/1.12 (define @t237 () (forall @t200 @t236)) % 0.83/1.12 (define @t238 () (forall (@list @t83 @t86) @t235)) % 0.83/1.12 (define @t239 () (forall (@list @t86 @t83) @t235)) % 0.83/1.12 (define @t240 () (not @t145)) % 0.83/1.12 (define @t241 () (or @t240 @t158 @t239 @t111 @t99 @t228)) % 0.83/1.12 (define @t242 () (or @t240 @t158 @t235 @t110 @t98 @t224)) % 0.83/1.12 (define @t243 () (or @t240 @t232 @t231 @t197 @t109 @t108 @t158 @t97 @t96 @t221 @t220 @t214)) % 0.83/1.12 (define @t244 () (forall @t219 @t216)) % 0.83/1.12 (define @t245 () (@list @t203)) % 0.83/1.12 (define @t246 () (= tptp.sk_c8 @t207)) % 0.83/1.12 (define @t247 () (not @t246)) % 0.83/1.12 (define @t248 () (or @t247 @t206)) % 0.83/1.12 (define @t249 () (tptp.multiply tptp.sk_c9 @t203)) % 0.83/1.12 (define @t250 () (tptp.multiply @t249 tptp.sk_c9)) % 0.83/1.12 (define @t251 () (= @t250 @t208)) % 0.83/1.12 (define @t252 () (@list tptp.sk_c9 @t203 tptp.sk_c9)) % 0.83/1.12 (define @t253 () (= @t208 @t250)) % 0.83/1.12 (define @t254 () (@list false)) % 0.83/1.12 (define @t255 () (@list @t9)) % 0.83/1.12 (define @t256 () (tptp.multiply @t203 @t112)) % 0.83/1.12 (define @t257 () (tptp.multiply tptp.sk_c7 @t207)) % 0.83/1.12 (define @t258 () (tptp.multiply @t112 @t257)) % 0.83/1.12 (define @t259 () (tptp.multiply tptp.sk_c7 @t203)) % 0.83/1.12 (define @t260 () (tptp.multiply @t259 tptp.sk_c9)) % 0.83/1.12 (define @t261 () (= @t260 @t257)) % 0.83/1.12 (define @t262 () (= @t257 @t260)) % 0.83/1.12 (define @t263 () (tptp.multiply @t259 @t112)) % 0.83/1.12 (define @t264 () (tptp.multiply tptp.sk_c7 @t256)) % 0.83/1.12 (define @t265 () (= @t263 @t264)) % 0.83/1.12 (define @t266 () (@list tptp.sk_c7 @t203 @t112)) % 0.83/1.12 (define @t267 () (= @t264 @t263)) % 0.83/1.12 (define @t268 () (tptp.multiply @t190 @t207)) % 0.83/1.12 (define @t269 () (tptp.multiply @t189 @t257)) % 0.83/1.12 (define @t270 () (= @t268 @t269)) % 0.83/1.12 (define @t271 () (@list @t189 tptp.sk_c7 @t207)) % 0.83/1.12 (define @t272 () (= @t269 @t268)) % 0.83/1.12 (define @t273 () (tptp.multiply tptp.sk_c1 @t249)) % 0.83/1.12 (define @t274 () (tptp.multiply @t177 tptp.sk_c1)) % 0.83/1.12 (define @t275 () (tptp.multiply @t274 @t249)) % 0.83/1.12 (define @t276 () (tptp.multiply @t177 @t273)) % 0.83/1.12 (define @t277 () (= @t275 @t276)) % 0.83/1.12 (define @t278 () (@list @t177 tptp.sk_c1 @t249)) % 0.83/1.12 (define @t279 () (= @t276 @t275)) % 0.83/1.12 (define @t280 () (tptp.inverse @t177)) % 0.83/1.12 (define @t281 () (tptp.multiply @t276 tptp.sk_c9)) % 0.83/1.12 (define @t282 () (tptp.multiply @t18 tptp.sk_c4)) % 0.83/1.12 (define @t283 () (= tptp.identity @t282)) % 0.83/1.12 (define @t284 () (= tptp.identity (tptp.multiply @t42 tptp.sk_c1))) % 0.83/1.12 (define @t285 () (= tptp.identity (tptp.multiply @t204 @t203))) % 0.83/1.12 (define @t286 () (tptp.multiply tptp.sk_c7 @t177)) % 0.83/1.12 (define @t287 () (= @t143 @t286)) % 0.83/1.12 (define @t288 () (tptp.multiply @t256 tptp.sk_c7)) % 0.83/1.12 (define @t289 () (= @t288 (tptp.multiply @t203 @t177))) % 0.83/1.12 (define @t290 () (tptp.multiply tptp.sk_c7 @t183)) % 0.83/1.12 (define @t291 () (= @t144 @t290)) % 0.83/1.12 (define @t292 () (tptp.multiply @t184 @t207)) % 0.83/1.12 (define @t293 () (= @t292 (tptp.multiply @t183 (tptp.multiply tptp.sk_c8 @t207)))) % 0.83/1.12 (define @t294 () (tptp.multiply @t249 @t182)) % 0.83/1.12 (define @t295 () (tptp.multiply @t249 @t112)) % 0.83/1.12 (define @t296 () (= (tptp.multiply @t295 @t10) @t294)) % 0.83/1.12 (define @t297 () (tptp.multiply tptp.sk_c9 @t256)) % 0.83/1.12 (define @t298 () (tptp.multiply @t297 tptp.sk_c7)) % 0.83/1.12 (define @t299 () (= @t298 (tptp.multiply tptp.sk_c9 @t288))) % 0.83/1.12 (define @t300 () (tptp.multiply @t142 @t258)) % 0.83/1.12 (define @t301 () (= @t269 @t300)) % 0.83/1.12 (define @t302 () (tptp.multiply tptp.sk_c7 @t288)) % 0.83/1.12 (define @t303 () (= (tptp.multiply @t264 tptp.sk_c7) @t302)) % 0.83/1.12 (define @t304 () (tptp.multiply tptp.sk_c7 @t258)) % 0.83/1.12 (define @t305 () (tptp.multiply @t142 @t257)) % 0.83/1.12 (define @t306 () (= @t305 @t304)) % 0.83/1.12 (define @t307 () (tptp.multiply tptp.identity @t258)) % 0.83/1.12 (define @t308 () (= @t258 @t307)) % 0.83/1.12 (define @t309 () (tptp.multiply tptp.identity @t257)) % 0.83/1.12 (define @t310 () (= @t257 @t309)) % 0.83/1.12 (define @t311 () (tptp.multiply @t203 tptp.sk_c7)) % 0.83/1.12 (define @t312 () (tptp.multiply @t249 tptp.sk_c7)) % 0.83/1.12 (define @t313 () (= @t312 (tptp.multiply tptp.sk_c9 @t311))) % 0.83/1.12 (define @t314 () (tptp.multiply @t250 @t126)) % 0.83/1.12 (define @t315 () (= @t314 (tptp.multiply @t249 @t127))) % 0.83/1.12 (define @t316 () (= @t295 @t297)) % 0.83/1.12 (define @t317 () (tptp.multiply @t142 @t305)) % 0.83/1.12 (define @t318 () (= (tptp.multiply (tptp.multiply @t142 @t142) @t257) @t317)) % 0.83/1.12 (define @t319 () (tptp.multiply @t183 @t305)) % 0.83/1.12 (define @t320 () (tptp.multiply (tptp.multiply @t183 @t142) @t257)) % 0.83/1.12 (define @t321 () (= @t320 @t319)) % 0.83/1.12 (define @t322 () (= tptp.identity (tptp.multiply @t280 @t177))) % 0.83/1.12 (define @t323 () (tptp.multiply @t263 tptp.sk_c7)) % 0.83/1.12 (define @t324 () (= @t323 (tptp.multiply @t259 @t177))) % 0.83/1.12 (define @t325 () (tptp.multiply @t182 @t311)) % 0.83/1.12 (define @t326 () (tptp.multiply @t182 @t203)) % 0.83/1.12 (define @t327 () (= (tptp.multiply @t326 tptp.sk_c7) @t325)) % 0.83/1.12 (define @t328 () (tptp.multiply @t273 tptp.sk_c9)) % 0.83/1.12 (define @t329 () (tptp.multiply tptp.sk_c9 @t273)) % 0.83/1.12 (define @t330 () (tptp.multiply @t329 tptp.sk_c9)) % 0.83/1.12 (define @t331 () (= @t330 (tptp.multiply tptp.sk_c9 @t328))) % 0.83/1.12 (define @t332 () (tptp.multiply @t177 @t328)) % 0.83/1.12 (define @t333 () (= @t281 @t332)) % 0.83/1.12 (define @t334 () (tptp.multiply @t280 tptp.sk_c7)) % 0.83/1.12 (define @t335 () (tptp.multiply @t334 @t207)) % 0.83/1.12 (define @t336 () (= @t335 (tptp.multiply @t280 @t257))) % 0.83/1.12 (define @t337 () (= @t207 (tptp.multiply tptp.identity @t207))) % 0.83/1.12 (define @t338 () (tptp.multiply tptp.sk_c9 @t281)) % 0.83/1.12 (define @t339 () (tptp.multiply @t280 @t338)) % 0.83/1.12 (define @t340 () (tptp.multiply @t280 tptp.sk_c9)) % 0.83/1.12 (define @t341 () (= (tptp.multiply @t340 @t281) @t339)) % 0.83/1.12 (define @t342 () (tptp.multiply @t177 @t203)) % 0.83/1.12 (define @t343 () (tptp.multiply @t295 tptp.sk_c7)) % 0.83/1.12 (define @t344 () (tptp.multiply @t290 tptp.sk_c8)) % 0.83/1.12 (define @t345 () (tptp.multiply tptp.sk_c9 tptp.sk_c1)) % 0.83/1.12 (define @t346 () (and @t145 @t114 @t170 @t209 @t205 @t178 @t119 @t283 @t284 @t285 @t125 @t287 @t289 @t253 @t185 @t139 @t141 @t291 @t293 @t296 @t299 @t301 @t303 @t306 @t187 @t308 @t310 @t313 @t315 @t316 @t318 @t262 @t267 @t272 @t321 @t322 @t324 @t327 @t331 @t333 @t279 @t336 @t337 @t341)) % 0.83/1.12 (define @t347 () (not @t279)) % 0.83/1.12 (define @t348 () (not @t272)) % 0.83/1.12 (define @t349 () (not @t316)) % 0.83/1.12 (define @t350 () (not @t310)) % 0.83/1.12 (define @t351 () (not @t308)) % 0.83/1.12 (define @t352 () (not @t187)) % 0.83/1.12 (define @t353 () (not @t306)) % 0.83/1.12 (define @t354 () (not @t301)) % 0.83/1.12 (define @t355 () (not @t299)) % 0.83/1.12 (define @t356 () (not @t296)) % 0.83/1.12 (define @t357 () (not @t291)) % 0.83/1.12 (define @t358 () (not @t185)) % 0.83/1.12 (define @t359 () (not @t253)) % 0.83/1.12 (define @t360 () (not @t289)) % 0.83/1.12 (define @t361 () (not @t287)) % 0.83/1.12 (define @t362 () (not @t285)) % 0.83/1.12 (define @t363 () (not @t284)) % 0.83/1.12 (define @t364 () (not @t178)) % 0.83/1.12 (define @t365 () (tptp.multiply tptp.sk_c5 @t112)) % 0.83/1.12 (define @t366 () (tptp.multiply tptp.sk_c5 @t177)) % 0.83/1.12 (define @t367 () (tptp.multiply @t365 tptp.sk_c7)) % 0.83/1.12 (define @t368 () (= @t367 @t366)) % 0.83/1.12 (define @t369 () (tptp.multiply tptp.sk_c9 @t367)) % 0.83/1.12 (define @t370 () (tptp.multiply tptp.sk_c9 @t365)) % 0.83/1.12 (define @t371 () (tptp.multiply @t370 tptp.sk_c7)) % 0.83/1.12 (define @t372 () (= @t371 @t369)) % 0.83/1.12 (define @t373 () (tptp.multiply @t177 @t24)) % 0.83/1.12 (define @t374 () (tptp.multiply @t177 tptp.sk_c5)) % 0.83/1.12 (define @t375 () (tptp.multiply @t374 tptp.sk_c9)) % 0.83/1.12 (define @t376 () (= @t375 @t373)) % 0.83/1.12 (define @t377 () (= tptp.sk_c9 @t371)) % 0.83/1.12 (define @t378 () (and @t117 @t178 @t119 @t121 @t125 @t368 @t139 @t372 @t376)) % 0.83/1.12 (define @t379 () (not @t376)) % 0.83/1.12 (define @t380 () (not @t368)) % 0.83/1.12 (define @t381 () (tptp.multiply @t135 @t112)) % 0.83/1.12 (define @t382 () (= @t381 @t370)) % 0.83/1.12 (define @t383 () (@list tptp.sk_c9 tptp.sk_c5 @t112)) % 0.83/1.12 (define @t384 () (= @t370 @t381)) % 0.83/1.12 (define @t385 () (= tptp.sk_c7 (tptp.inverse @t370))) % 0.83/1.12 (define @t386 () (and @t117 @t119 @t121 @t125 @t187 @t384)) % 0.83/1.12 (define @t387 () (not @t384)) % 0.83/1.12 (define @t388 () (forall @t3 (= @t1 @t2))) % 0.83/1.12 (define @t389 () (forall @t3 (= tptp.identity @t5))) % 0.83/1.12 (define @t390 () (not @t385)) % 0.83/1.12 (define @t391 () (not @t377)) % 0.83/1.12 (define @t392 () (or @t391 @t390)) % 0.83/1.12 (define @t393 () (tptp.multiply tptp.sk_c7 @t370)) % 0.83/1.12 (define @t394 () (= (tptp.multiply @t12 @t365) @t393)) % 0.83/1.12 (define @t395 () (not @t394)) % 0.83/1.12 (define @t396 () (= tptp.sk_c9 @t118)) % 0.83/1.12 (define @t397 () (not @t396)) % 0.83/1.12 (define @t398 () (and @t145 @t114 @t115 @t116 @t117 @t119 @t121 @t125 @t137 @t139 @t141 @t291 @t187 @t384 @t397 @t394)) % 0.83/1.12 (define @t399 () (tptp.multiply @t142 @t177)) % 0.83/1.12 (define @t400 () (tptp.multiply @t399 tptp.sk_c6)) % 0.83/1.12 (define @t401 () (= tptp.sk_c8 @t134)) % 0.83/1.12 (define @t402 () (and @t115 @t116 @t178 @t119 @t125 @t368 @t139)) % 0.83/1.12 (define @t403 () (tptp.multiply tptp.sk_c5 @t183)) % 0.83/1.12 (define @t404 () (tptp.multiply tptp.sk_c5 @t184)) % 0.83/1.12 (define @t405 () (tptp.multiply @t403 tptp.sk_c8)) % 0.83/1.12 (define @t406 () (= @t405 @t404)) % 0.83/1.12 (define @t407 () (tptp.multiply tptp.sk_c9 @t405)) % 0.83/1.12 (define @t408 () (tptp.multiply (tptp.multiply tptp.sk_c9 @t403) tptp.sk_c8)) % 0.83/1.12 (define @t409 () (= @t408 @t407)) % 0.83/1.12 (define @t410 () (= tptp.sk_c8 @t183)) % 0.83/1.12 (define @t411 () (and @t145 @t114 @t115 @t116 @t117 @t178 @t119 @t121 @t125 @t287 @t368 @t185 @t139 @t141 @t406 @t187 @t376 @t409 @t384)) % 0.83/1.12 (define @t412 () (not @t409)) % 0.83/1.12 (define @t413 () (not @t406)) % 0.83/1.12 (define @t414 () (not @t401)) % 0.83/1.12 (define @t415 () (or @t414 @t155)) % 0.83/1.12 (define @t416 () (not @t410)) % 0.83/1.12 (define @t417 () (or @t416 @t397)) % 0.83/1.12 (define @t418 () (tptp.multiply tptp.sk_c7 tptp.sk_c2)) % 0.83/1.12 (define @t419 () (tptp.multiply @t367 tptp.sk_c2)) % 0.83/1.12 (define @t420 () (tptp.multiply @t365 @t418)) % 0.83/1.12 (define @t421 () (= @t419 @t420)) % 0.83/1.12 (define @t422 () (= @t420 @t419)) % 0.83/1.12 (define @t423 () (tptp.multiply @t112 @t418)) % 0.83/1.12 (define @t424 () (tptp.multiply @t177 tptp.sk_c2)) % 0.83/1.12 (define @t425 () (= @t424 @t423)) % 0.83/1.12 (define @t426 () (tptp.multiply tptp.sk_c6 tptp.sk_c2)) % 0.83/1.12 (define @t427 () (tptp.multiply @t177 tptp.sk_c6)) % 0.83/1.12 (define @t428 () (tptp.multiply @t427 tptp.sk_c2)) % 0.83/1.12 (define @t429 () (= @t428 (tptp.multiply @t177 @t426))) % 0.83/1.12 (define @t430 () (tptp.multiply tptp.sk_c9 @t420)) % 0.83/1.12 (define @t431 () (= (tptp.multiply @t370 @t418) @t430)) % 0.83/1.12 (define @t432 () (tptp.multiply @t365 @t12)) % 0.83/1.12 (define @t433 () (= (tptp.multiply @t367 tptp.sk_c9) @t432)) % 0.83/1.12 (define @t434 () (tptp.multiply tptp.sk_c6 tptp.sk_c9)) % 0.83/1.12 (define @t435 () (and @t114 @t116 @t117 @t168 @t169 @t178 @t119 @t121 @t125 @t425 @t287 @t368 @t181 @t185 @t139 @t141 @t406 @t187 @t429 @t376 @t409 @t384 @t431 @t422 @t433)) % 0.83/1.12 (define @t436 () (tptp.multiply tptp.sk_c7 tptp.sk_c5)) % 0.83/1.12 (define @t437 () (tptp.multiply @t436 @t112)) % 0.83/1.12 (define @t438 () (tptp.multiply tptp.sk_c7 @t365)) % 0.83/1.12 (define @t439 () (= @t437 @t438)) % 0.83/1.12 (define @t440 () (@list tptp.sk_c7 tptp.sk_c5 @t112)) % 0.83/1.12 (define @t441 () (= @t438 @t437)) % 0.83/1.12 (define @t442 () (tptp.multiply @t10 @t203)) % 0.83/1.12 (define @t443 () (tptp.multiply @t438 tptp.sk_c9)) % 0.83/1.12 (define @t444 () (tptp.multiply @t443 @t203)) % 0.83/1.12 (define @t445 () (= @t444 (tptp.multiply @t438 @t249))) % 0.83/1.12 (define @t446 () (not @t445)) % 0.83/1.12 (define @t447 () (tptp.multiply @t370 @t442)) % 0.83/1.12 (define @t448 () (= @t447 (tptp.multiply tptp.sk_c9 (tptp.multiply @t365 @t442)))) % 0.83/1.12 (define @t449 () (not @t448)) % 0.83/1.12 (define @t450 () (= @t400 (tptp.multiply @t142 @t427))) % 0.83/1.12 (define @t451 () (not @t450)) % 0.83/1.12 (define @t452 () (not @t441)) % 0.83/1.12 (define @t453 () (= @t326 (tptp.multiply @t112 @t442))) % 0.83/1.12 (define @t454 () (not @t453)) % 0.83/1.12 (define @t455 () (= tptp.sk_c7 @t204)) % 0.83/1.12 (define @t456 () (= tptp.sk_c7 @t27)) % 0.83/1.12 (define @t457 () (not @t456)) % 0.83/1.12 (define @t458 () (and @t139 @t205 @t455 @t117 @t457)) % 0.83/1.12 (define @t459 () (tptp.multiply @t177 tptp.sk_c8)) % 0.83/1.12 (define @t460 () (= @t459 (tptp.multiply @t112 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) % 0.83/1.12 (define @t461 () (and @t145 @t209 @t178 @t119 @t125 @t460 @t287 @t253 @t141 @t301 @t306 @t187 @t308 @t310 @t272)) % 0.83/1.12 (define @t462 () (and @t168 @t169 @t178 @t181)) % 0.83/1.12 (define @t463 () (or @t364 @t154)) % 0.83/1.12 (define @t464 () (not @t463)) % 0.83/1.12 (define @t465 () (not @t111)) % 0.83/1.12 (define @t466 () (@list @t111)) % 0.83/1.12 (define @t467 () (@list false false)) % 0.83/1.12 (define @t468 () (@list @t172 @t171)) % 0.83/1.12 (define @t469 () (@list @t175)) % 0.83/1.12 (define @t470 () (@list true)) % 0.83/1.12 (define @t471 () (@list @t163)) % 0.83/1.12 (define @t472 () (@list @t107)) % 0.83/1.12 (define @t473 () (= tptp.sk_c7 @t18)) % 0.83/1.12 (define @t474 () (not @t473)) % 0.83/1.12 (define @t475 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) % 0.83/1.12 (define @t476 () (not @t475)) % 0.83/1.12 (define @t477 () (or @t476 @t474)) % 0.83/1.12 (define @t478 () (= tptp.sk_c7 @t103)) % 0.83/1.12 (define @t479 () (and @t114 @t159 @t102 @t104 @t123 @t133 @t139)) % 0.83/1.12 (define @t480 () (tptp.multiply tptp.sk_c7 @t24)) % 0.83/1.12 (define @t481 () (= (tptp.multiply @t436 tptp.sk_c9) @t480)) % 0.83/1.12 (define @t482 () (and @t114 @t161 @t115 @t116 @t117 @t102 @t104 @t121 @t123 @t133 @t139 @t481)) % 0.83/1.12 (assume @p1 @t4) % 0.83/1.12 (assume @p2 @t6) % 0.83/1.12 (assume @p3 @t9) % 0.83/1.12 (assume @p4 @t14) % 0.83/1.12 (assume @p5 @t17) % 0.83/1.12 (assume @p6 @t20) % 0.83/1.12 (assume @p7 @t23) % 0.83/1.12 (assume @p8 @t26) % 0.83/1.12 (assume @p9 @t29) % 0.83/1.12 (assume @p10 @t32) % 0.83/1.12 (assume @p11 (or @t31 @t16)) % 0.83/1.12 (assume @p12 (or @t31 @t19)) % 0.83/1.12 (assume @p13 @t33) % 0.83/1.12 (assume @p14 @t34) % 0.83/1.12 (assume @p15 @t35) % 0.83/1.12 (assume @p16 @t38) % 0.83/1.12 (assume @p17 (or @t37 @t16)) % 0.83/1.12 (assume @p18 (or @t37 @t19)) % 0.83/1.12 (assume @p19 @t39) % 0.83/1.12 (assume @p20 @t40) % 0.83/1.12 (assume @p21 @t41) % 0.83/1.12 (assume @p22 @t44) % 0.83/1.12 (assume @p23 (or @t43 @t16)) % 0.83/1.12 (assume @p24 (or @t43 @t19)) % 0.83/1.12 (assume @p25 @t45) % 0.83/1.12 (assume @p26 @t46) % 0.83/1.12 (assume @p27 @t47) % 0.83/1.12 (assume @p28 @t50) % 0.83/1.12 (assume @p29 @t51) % 0.83/1.12 (assume @p30 @t52) % 0.83/1.12 (assume @p31 @t53) % 0.83/1.12 (assume @p32 @t54) % 0.83/1.12 (assume @p33 @t55) % 0.83/1.12 (assume @p34 @t58) % 0.83/1.12 (assume @p35 @t59) % 0.83/1.12 (assume @p36 @t60) % 0.83/1.12 (assume @p37 @t61) % 0.83/1.12 (assume @p38 @t62) % 0.83/1.12 (assume @p39 @t63) % 0.83/1.12 (assume @p40 @t94) % 0.83/1.12 (step @p41 :rule eq-symm :args (@t5 tptp.identity)) % 0.83/1.12 (step @p42 :rule cong :premises (@p41) :args (@t6)) % 0.83/1.12 (step @p43 :rule eq_resolve :premises (@p2 @p42)) % 0.83/1.12 (step @p44 :rule instantiate :premises (@p43) :args (@t95)) % 0.83/1.12 (step @p45 :rule instantiate :premises (@p43) :args ((@list @t100))) % 0.83/1.12 (step @p46 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c9 @t100 tptp.sk_c9))) % 0.83/1.12 (step @p47 :rule eq-symm :args (@t2 @t1)) % 0.83/1.12 (step @p48 :rule cong :premises (@p47) :args (@t4)) % 0.83/1.12 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 0.83/1.12 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.sk_c9))) % 0.83/1.12 (step @p51 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c5 tptp.sk_c9))) % 0.83/1.12 (step @p52 :rule eq-symm :args (@t15 tptp.sk_c8)) % 0.83/1.12 (step @p53 :rule eq-symm :args (@t12 tptp.sk_c8)) % 0.83/1.12 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t17)) % 0.83/1.12 (step @p55 :rule eq_resolve :premises (@p5 @p54)) % 0.83/1.12 (step @p56 :rule eq-symm :args (@t18 tptp.sk_c9)) % 0.83/1.12 (step @p57 :rule nary_cong :premises (@p53 @p56) :args (@t20)) % 0.83/1.12 (step @p58 :rule eq_resolve :premises (@p6 @p57)) % 0.83/1.12 (step @p59 :rule eq-symm :args (@t27 tptp.sk_c9)) % 0.83/1.12 (step @p60 :rule nary_cong :premises (@p53 @p59) :args (@t29)) % 0.83/1.12 (step @p61 :rule eq_resolve :premises (@p9 @p60)) % 0.83/1.12 (step @p62 :rule eq-symm :args (@t24 tptp.sk_c6)) % 0.83/1.12 (step @p63 :rule nary_cong :premises (@p53 @p62) :args (@t26)) % 0.83/1.12 (step @p64 :rule eq_resolve :premises (@p8 @p63)) % 0.83/1.12 (step @p65 :rule eq-symm :args (@t21 tptp.sk_c8)) % 0.83/1.12 (step @p66 :rule nary_cong :premises (@p53 @p65) :args (@t23)) % 0.83/1.12 (step @p67 :rule eq_resolve :premises (@p7 @p66)) % 0.83/1.12 (step @p68 :rule eq-symm :args (@t10 tptp.sk_c7)) % 0.83/1.12 (step @p69 :rule nary_cong :premises (@p53 @p68) :args (@t14)) % 0.83/1.12 (step @p70 :rule eq_resolve :premises (@p4 @p69)) % 0.83/1.12 (step @p71 :rule bool-double-not-elim :args (@t102)) % 0.83/1.12 (step @p72 :rule refl :args (@t107)) % 0.83/1.12 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t107 (not @t106)))) % 0.83/1.12 (step @p74 :rule cnf_or_neg :args (@t107 0)) % 0.83/1.12 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.83/1.12 (step @p76 :rule reordering :premises (@p75) :args ((or @t102 @t107))) % 0.83/1.12 (step @p77 :rule bool-double-not-elim :args (@t104)) % 0.83/1.12 (step @p78 :rule nary_cong :premises (@p72 @p77) :args ((or @t107 (not @t105)))) % 0.83/1.12 (step @p79 :rule cnf_or_neg :args (@t107 1)) % 0.83/1.12 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.83/1.12 (step @p81 :rule reordering :premises (@p80) :args ((or @t104 @t107))) % 0.83/1.12 (step @p82 :rule instantiate :premises (@p43) :args (@t113)) % 0.83/1.12 (step @p83 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c9 tptp.sk_c8 tptp.sk_c9))) % 0.83/1.12 (step @p84 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c9 tptp.sk_c5 tptp.sk_c9))) % 0.83/1.12 (step @p85 :rule instantiate :premises (@p49) :args ((@list tptp.sk_c7))) % 0.83/1.12 (assume-push @p2258 @t114) % 0.83/1.12 (assume-push @p2259 @t115) % 0.83/1.12 (assume-push @p2260 @t116) % 0.83/1.12 (assume-push @p2261 @t117) % 0.83/1.12 (assume-push @p2262 @t102) % 0.83/1.12 (assume-push @p2263 @t104) % 0.83/1.12 (assume-push @p2264 @t119) % 0.83/1.12 (assume-push @p2265 @t121) % 0.83/1.12 (assume-push @p2266 @t123) % 0.83/1.12 (assume-push @p2267 @t125) % 0.83/1.12 (assume-push @p2268 @t129) % 0.83/1.12 (assume-push @p2269 @t133) % 0.83/1.12 (assume-push @p2270 @t137) % 0.83/1.12 (assume-push @p2271 @t139) % 0.83/1.12 (assume-push @p2272 @t141) % 0.83/1.12 (assume-push @p2273 @t114) % 0.83/1.12 (assume-push @p2274 @t129) % 0.83/1.12 (assume-push @p2275 @t139) % 0.83/1.12 (assume-push @p2276 @t121) % 0.83/1.12 (assume-push @p2277 @t117) % 0.83/1.12 (assume-push @p2278 @t137) % 0.83/1.12 (assume-push @p2279 @t116) % 0.83/1.12 (assume-push @p2280 @t115) % 0.83/1.12 (assume-push @p2281 @t141) % 0.83/1.12 (assume-push @p2282 @t125) % 0.83/1.12 (assume-push @p2283 @t119) % 0.83/1.12 (assume-push @p2284 @t102) % 0.83/1.12 (assume-push @p2285 @t133) % 0.83/1.12 (assume-push @p2286 @t104) % 0.83/1.12 (assume-push @p2287 @t123) % 0.83/1.12 (step @p116 :rule refl :args (tptp.sk_c9)) % 0.83/1.12 (step @p117 :rule symm :premises (@p2258)) % 0.83/1.12 (step @p118 :rule cong :premises (@p117 @p116) :args (@t128)) % 0.83/1.12 (step @p119 :rule symm :premises (@p83)) % 0.83/1.12 (step @p120 :rule symm :premises (@p50)) % 0.83/1.12 (step @p121 :rule symm :premises (@p44)) % 0.83/1.12 (step @p122 :rule refl :args (tptp.sk_c5)) % 0.83/1.12 (step @p123 :rule cong :premises (@p2261 @p122) :args (@t135)) % 0.83/1.12 (step @p124 :rule trans :premises (@p123 @p121)) % 0.83/1.12 (step @p125 :rule cong :premises (@p124 @p116) :args (@t136)) % 0.83/1.12 (step @p126 :rule symm :premises (@p84)) % 0.83/1.12 (step @p127 :rule cong :premises (@p116 @p2260) :args (@t21)) % 0.83/1.12 (step @p128 :rule trans :premises (@p2259 @p127 @p126 @p125 @p120)) % 0.83/1.12 (step @p129 :rule refl :args (tptp.sk_c8)) % 0.83/1.12 (step @p130 :rule cong :premises (@p129 @p128) :args ((tptp.multiply tptp.sk_c8 tptp.sk_c8))) % 0.83/1.12 (step @p131 :rule symm :premises (@p128)) % 0.83/1.12 (step @p132 :rule cong :premises (@p131 @p129) :args (@t10)) % 0.83/1.12 (step @p133 :rule symm :premises (@p85)) % 0.83/1.12 (step @p134 :rule refl :args (tptp.sk_c7)) % 0.83/1.12 (step @p135 :rule symm :premises (@p82)) % 0.83/1.12 (step @p136 :rule refl :args (@t112)) % 0.83/1.12 (step @p137 :rule cong :premises (@p2264 @p136) :args (@t142)) % 0.83/1.12 (step @p138 :rule trans :premises (@p137 @p135)) % 0.83/1.12 (step @p139 :rule cong :premises (@p138 @p134) :args (@t143)) % 0.83/1.12 (step @p140 :rule trans :premises (@p139 @p133 @p2258 @p132 @p130)) % 0.83/1.12 (step @p141 :rule cong :premises (@p116 @p140) :args ((tptp.multiply tptp.sk_c9 @t143))) % 0.83/1.12 (step @p142 :rule symm :premises (@p139)) % 0.83/1.12 (step @p143 :rule symm :premises (@p2262)) % 0.83/1.12 (step @p144 :rule cong :premises (@p116 @p143) :args (@t130)) % 0.83/1.12 (step @p145 :rule refl :args (@t100)) % 0.83/1.12 (step @p146 :rule symm :premises (@p2263)) % 0.83/1.12 (step @p147 :rule cong :premises (@p146 @p145) :args (@t122)) % 0.83/1.12 (step @p148 :rule trans :premises (@p45 @p147)) % 0.83/1.12 (step @p149 :rule trans :premises (@p138 @p148)) % 0.83/1.12 (step @p150 :rule cong :premises (@p149 @p116) :args (@t144)) % 0.83/1.12 (step @p151 :rule symm :premises (@p138)) % 0.83/1.12 (step @p152 :rule cong :premises (@p151 @p116) :args (@t138)) % 0.83/1.12 (step @p153 :rule trans :premises (@p2259 @p127 @p126 @p125 @p152 @p150 @p46 @p144 @p117 @p85 @p142)) % 0.83/1.12 (step @p154 :rule cong :premises (@p116 @p153) :args (@t10)) % 0.83/1.12 (step @p155 :rule trans :premises (@p2259 @p127 @p126 @p125 @p152 @p150 @p46 @p144 @p154 @p141 @p119 @p118)) % 0.83/1.12 (step-pop @p2288 :rule scope :premises (@p155)) % 0.83/1.12 (step-pop @p2289 :rule scope :premises (@p2288)) % 0.83/1.12 (step-pop @p2290 :rule scope :premises (@p2289)) % 0.83/1.12 (step-pop @p2291 :rule scope :premises (@p2290)) % 0.83/1.12 (step-pop @p2292 :rule scope :premises (@p2291)) % 0.83/1.12 (step-pop @p2293 :rule scope :premises (@p2292)) % 0.83/1.12 (step-pop @p2294 :rule scope :premises (@p2293)) % 0.83/1.12 (step-pop @p2295 :rule scope :premises (@p2294)) % 0.83/1.12 (step-pop @p2296 :rule scope :premises (@p2295)) % 0.83/1.12 (step-pop @p2297 :rule scope :premises (@p2296)) % 0.83/1.12 (step-pop @p2298 :rule scope :premises (@p2297)) % 0.83/1.12 (step-pop @p2299 :rule scope :premises (@p2298)) % 0.83/1.12 (step-pop @p2300 :rule scope :premises (@p2299)) % 0.83/1.12 (step-pop @p2301 :rule scope :premises (@p2300)) % 0.83/1.12 (step-pop @p2302 :rule scope :premises (@p2301)) % 0.83/1.12 (step @p156 :rule process_scope :premises (@p2302) :args (@t145)) % 0.83/1.12 (step @p172 :rule and_intro :premises (@p2258 @p83 @p50 @p44 @p2261 @p84 @p2260 @p2259 @p85 @p82 @p2264 @p2262 @p46 @p2263 @p45)) % 0.83/1.12 (step @p173 :rule modus_ponens :premises (@p172 @p156)) % 0.83/1.12 (step-pop @p2303 :rule scope :premises (@p173)) % 0.83/1.12 (step-pop @p2304 :rule scope :premises (@p2303)) % 0.83/1.12 (step-pop @p2305 :rule scope :premises (@p2304)) % 0.83/1.12 (step-pop @p2306 :rule scope :premises (@p2305)) % 0.83/1.12 (step-pop @p2307 :rule scope :premises (@p2306)) % 0.83/1.12 (step-pop @p2308 :rule scope :premises (@p2307)) % 0.83/1.12 (step-pop @p2309 :rule scope :premises (@p2308)) % 0.83/1.12 (step-pop @p2310 :rule scope :premises (@p2309)) % 0.83/1.12 (step-pop @p2311 :rule scope :premises (@p2310)) % 0.83/1.12 (step-pop @p2312 :rule scope :premises (@p2311)) % 0.83/1.12 (step-pop @p2313 :rule scope :premises (@p2312)) % 0.83/1.12 (step-pop @p2314 :rule scope :premises (@p2313)) % 0.83/1.12 (step-pop @p2315 :rule scope :premises (@p2314)) % 0.83/1.12 (step-pop @p2316 :rule scope :premises (@p2315)) % 0.83/1.12 (step-pop @p2317 :rule scope :premises (@p2316)) % 0.83/1.12 (step @p174 :rule process_scope :premises (@p2317) :args (@t145)) % 0.83/1.12 (step @p190 :rule implies_elim :premises (@p174)) % 0.83/1.12 (step @p191 :rule cnf_and_neg :args (@t146)) % 0.83/1.12 (step @p192 :rule resolution :premises (@p191 @p190) :args (true @t146)) % 0.83/1.12 (step @p193 :rule reordering :premises (@p192) :args ((or @t145 @t158 @t157 @t156 @t155 @t106 @t105 @t154 @t153 @t152 @t151 (not @t129) @t150 @t149 @t148 @t147))) % 0.83/1.12 (step @p194 :rule chain_m_resolution :premises (@p193 @p85 @p50 @p84 @p46 @p83 @p82 @p45 @p44 @p81 @p76 @p70 @p67 @p64 @p61) :args ((or @t145 @t107 @t154) (@list false false false false false false false false false false false false false false) (@list @t141 @t139 @t137 @t133 @t129 @t125 @t123 @t121 @t104 @t102 @t114 @t115 @t116 @t117))) % 0.83/1.12 (step @p195 :rule cnf_or_pos :args (@t163)) % 0.83/1.12 (step @p196 :rule reordering :premises (@p195) :args ((or @t162 @t160 @t164))) % 0.83/1.12 (step @p197 :rule refl :args (@t165)) % 0.83/1.12 (step @p198 :rule bool-double-not-elim :args (@t99)) % 0.83/1.12 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or (not @t166) @t165))) % 0.83/1.12 (assume-push @p2318 @t166) % 0.83/1.12 (step @p201 :rule skolemize :premises (@p2318)) % 0.83/1.12 (step-pop @p2319 :rule scope :premises (@p201)) % 0.83/1.12 (step @p202 :rule process_scope :premises (@p2319) :args (@t165)) % 0.83/1.12 (step @p204 :rule implies_elim :premises (@p202)) % 0.83/1.12 (step @p205 :rule eq_resolve :premises (@p204 @p199)) % 0.83/1.12 (assume-push @p2320 @t99) % 0.83/1.12 (step @p207 :rule instantiate :premises (@p2320) :args (@t167)) % 0.83/1.12 (step-pop @p2321 :rule scope :premises (@p207)) % 0.83/1.12 (step @p208 :rule process_scope :premises (@p2321) :args (@t163)) % 0.83/1.12 (step @p210 :rule implies_elim :premises (@p208)) % 0.83/1.12 (step @p211 :rule chain_m_resolution :premises (@p210 @p205 @p196 @p194 @p58 @p55) :args ((or @t145 @t154) (@list false true false false false) (@list @t99 @t163 @t107 @t159 @t161))) % 0.83/1.12 (step @p212 :rule eq-symm :args (@t30 tptp.sk_c8)) % 0.83/1.12 (step @p213 :rule nary_cong :premises (@p212 @p59) :args (@t35)) % 0.83/1.12 (step @p214 :rule eq_resolve :premises (@p15 @p213)) % 0.83/1.12 (step @p215 :rule reordering :premises (@p214) :args ((or @t117 @t168))) % 0.83/1.12 (step @p216 :rule eq-symm :args (@t36 tptp.sk_c2)) % 0.83/1.12 (step @p217 :rule nary_cong :premises (@p216 @p59) :args (@t41)) % 0.83/1.12 (step @p218 :rule eq_resolve :premises (@p21 @p217)) % 0.83/1.12 (step @p219 :rule reordering :premises (@p218) :args ((or @t117 @t169))) % 0.83/1.12 (step @p220 :rule eq-symm :args (@t42 tptp.sk_c9)) % 0.83/1.12 (step @p221 :rule nary_cong :premises 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0.83/1.13 (step @p145 :rule refl :args (@t100)) % 0.83/1.13 (step @p2204 :rule symm :premises (@p3198)) % 0.83/1.13 (step @p2205 :rule cong :premises (@p2204 @p145) :args (@t122)) % 0.83/1.13 (step @p2206 :rule trans :premises (@p45 @p2205)) % 0.83/1.13 (step @p2207 :rule cong :premises (@p2206 @p116) :args (@t138)) % 0.83/1.13 (step @p2208 :rule trans :premises (@p50 @p2207 @p46 @p2203 @p2201)) % 0.83/1.13 (step @p2209 :rule refl :args (tptp.sk_c4)) % 0.83/1.13 (step @p2210 :rule cong :premises (@p2209 @p2208) :args (@t15)) % 0.83/1.13 (step @p2211 :rule symm :premises (@p3194)) % 0.83/1.13 (step @p2212 :rule symm :premises (@p3195)) % 0.83/1.13 (step @p2213 :rule symm :premises (@p2208)) % 0.83/1.13 (step @p2214 :rule cong :premises (@p2213 @p2212) :args (@t480)) % 0.83/1.13 (step @p122 :rule refl :args (tptp.sk_c5)) % 0.83/1.13 (step @p2215 :rule cong :premises (@p2201 @p122) :args ((tptp.multiply @t10 tptp.sk_c5))) % 0.83/1.13 (step @p2216 :rule trans :premises (@p2208 @p3192)) % 0.83/1.13 (step @p2217 :rule cong :premises (@p2216 @p122) :args (@t135)) % 0.83/1.13 (step @p2218 :rule trans :premises (@p2217 @p2215)) % 0.83/1.13 (step @p2219 :rule symm :premises (@p3196)) % 0.83/1.13 (step @p2220 :rule cong :premises (@p2219 @p122) :args (@t120)) % 0.83/1.13 (step @p2221 :rule trans :premises (@p44 @p2220)) % 0.83/1.13 (step @p2222 :rule trans :premises (@p2221 @p2218)) % 0.83/1.13 (step @p2223 :rule cong :premises (@p2222 @p116) :args (@t138)) % 0.83/1.13 (step @p2224 :rule trans :premises (@p50 @p2223 @p51 @p2214 @p2211 @p3193 @p2210)) % 0.83/1.13 (step-pop @p3216 :rule scope :premises (@p2224)) % 0.83/1.13 (step-pop @p3217 :rule scope :premises (@p3216)) % 0.83/1.13 (step-pop @p3218 :rule scope :premises (@p3217)) % 0.83/1.13 (step-pop @p3219 :rule scope :premises (@p3218)) % 0.83/1.13 (step-pop @p3220 :rule scope :premises (@p3219)) % 0.83/1.13 (step-pop @p3221 :rule scope :premises (@p3220)) % 0.83/1.13 (step-pop @p3222 :rule scope :premises (@p3221)) % 0.83/1.13 (step-pop @p3223 :rule scope :premises (@p3222)) % 0.83/1.13 (step-pop @p3224 :rule scope :premises (@p3223)) % 0.83/1.13 (step-pop @p3225 :rule scope :premises (@p3224)) % 0.83/1.13 (step-pop @p3226 :rule scope :premises (@p3225)) % 0.83/1.13 (step-pop @p3227 :rule scope :premises (@p3226)) % 0.83/1.13 (step @p2225 :rule process_scope :premises (@p3227) :args (@t475)) % 0.83/1.13 (step @p2238 :rule and_intro :premises (@p3192 @p3197 @p46 @p3198 @p45 @p50 @p3193 @p3194 @p3195 @p51 @p3196 @p44)) % 0.83/1.13 (step @p2239 :rule modus_ponens :premises (@p2238 @p2225)) % 0.83/1.13 (step-pop @p3228 :rule scope :premises (@p2239)) % 0.83/1.13 (step-pop @p3229 :rule scope :premises (@p3228)) % 0.83/1.13 (step-pop @p3230 :rule scope :premises (@p3229)) % 0.83/1.13 (step-pop @p3231 :rule scope :premises (@p3230)) % 0.83/1.13 (step-pop @p3232 :rule scope :premises (@p3231)) % 0.83/1.13 (step-pop @p3233 :rule scope :premises (@p3232)) % 0.83/1.13 (step-pop @p3234 :rule scope :premises (@p3233)) % 0.83/1.13 (step-pop @p3235 :rule scope :premises (@p3234)) % 0.83/1.13 (step-pop @p3236 :rule scope :premises (@p3235)) % 0.83/1.13 (step-pop @p3237 :rule scope :premises (@p3236)) % 0.83/1.13 (step-pop @p3238 :rule scope :premises (@p3237)) % 0.83/1.13 (step-pop @p3239 :rule scope :premises (@p3238)) % 0.83/1.13 (step @p2240 :rule process_scope :premises (@p3239) :args (@t475)) % 0.83/1.13 (step @p2253 :rule implies_elim :premises (@p2240)) % 0.83/1.13 (step @p2254 :rule cnf_and_neg :args (@t482)) % 0.83/1.13 (step @p2255 :rule resolution :premises (@p2254 @p2253) :args (true @t482)) % 0.83/1.13 (step @p2256 :rule reordering :premises (@p2255) :args ((or @t158 @t162 @t157 @t156 @t155 @t106 @t105 @t153 @t152 @t150 @t148 @t475 (not @t481)))) % 0.83/1.13 (step @p2257 false :rule chain_m_resolution :premises (@p2256 @p2176 @p2175 @p2113 @p2112 @p2109 @p2087 @p2079 @p2071 @p51 @p50 @p46 @p45 @p44) :args (false (@list false true false false false false false false false false false false false) (@list @t117 @t475 @t104 @t102 @t161 @t115 @t116 @t114 @t481 @t139 @t133 @t123 @t121))) % 0.83/1.13 ) % 0.83/1.13 % SZS output end Proof % 0.83/1.13 % cvc5 exiting %------------------------------------------------------------------------------