%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP328-1 : 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 : n020.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 08:20:30 AM UTC 2026 % Result : Unsatisfiable 0.74s 0.98s % Output : Proof 0.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP328-1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n020.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 01:02:10 EDT 2026 % 0.16/0.33 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.74/0.98 % SZS status Unsatisfiable % 0.74/0.98 % SZS output start Proof % 0.74/1.01 ( % 0.74/1.01 (declare-sort $$unsorted 0) % 0.74/1.01 (declare-const tptp.sk_c2 $$unsorted) % 0.74/1.01 (declare-const tptp.sk_c1 $$unsorted) % 0.74/1.01 (declare-const tptp.sk_c3 $$unsorted) % 0.74/1.01 (declare-const tptp.sk_c5 $$unsorted) % 0.74/1.01 (declare-const tptp.sk_c7 $$unsorted) % 0.74/1.01 (declare-const tptp.sk_c4 $$unsorted) % 0.74/1.01 (declare-const tptp.sk_c6 $$unsorted) % 0.74/1.01 (declare-const tptp.sk_c8 $$unsorted) % 0.74/1.01 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.74/1.01 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.74/1.01 (declare-const tptp.identity $$unsorted) % 0.74/1.01 (define @t1 () (@var "X" $$unsorted)) % 0.74/1.01 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.74/1.01 (define @t3 () (@list @t1)) % 0.74/1.01 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.74/1.01 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.74/1.01 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.74/1.01 (define @t7 () (@var "Z" $$unsorted)) % 0.74/1.01 (define @t8 () (@var "Y" $$unsorted)) % 0.74/1.01 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.74/1.01 (define @t10 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 0.74/1.01 (define @t11 () (= @t10 tptp.sk_c8)) % 0.74/1.01 (define @t12 () (tptp.multiply tptp.sk_c7 tptp.sk_c8)) % 0.74/1.01 (define @t13 () (= @t12 tptp.sk_c6)) % 0.74/1.01 (define @t14 () (or @t13 @t11)) % 0.74/1.01 (define @t15 () (tptp.inverse tptp.sk_c8)) % 0.74/1.01 (define @t16 () (= @t15 tptp.sk_c6)) % 0.74/1.01 (define @t17 () (or @t13 @t16)) % 0.74/1.01 (define @t18 () (tptp.multiply tptp.sk_c8 tptp.sk_c5)) % 0.74/1.01 (define @t19 () (= @t18 tptp.sk_c7)) % 0.74/1.01 (define @t20 () (or @t13 @t19)) % 0.74/1.01 (define @t21 () (tptp.multiply tptp.sk_c4 tptp.sk_c8)) % 0.74/1.01 (define @t22 () (= @t21 tptp.sk_c5)) % 0.74/1.01 (define @t23 () (tptp.inverse tptp.sk_c4)) % 0.74/1.01 (define @t24 () (= @t23 tptp.sk_c8)) % 0.74/1.01 (define @t25 () (or @t13 @t24)) % 0.74/1.01 (define @t26 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 0.74/1.01 (define @t27 () (= @t26 tptp.sk_c8)) % 0.74/1.01 (define @t28 () (or @t27 @t11)) % 0.74/1.01 (define @t29 () (or @t27 @t16)) % 0.74/1.01 (define @t30 () (or @t27 @t19)) % 0.74/1.01 (define @t31 () (or @t27 @t24)) % 0.74/1.01 (define @t32 () (tptp.inverse tptp.sk_c1)) % 0.74/1.01 (define @t33 () (= @t32 tptp.sk_c7)) % 0.74/1.01 (define @t34 () (or @t33 @t11)) % 0.74/1.01 (define @t35 () (or @t33 @t16)) % 0.74/1.01 (define @t36 () (or @t33 @t19)) % 0.74/1.01 (define @t37 () (or @t33 @t24)) % 0.74/1.01 (define @t38 () (tptp.multiply tptp.sk_c8 tptp.sk_c3)) % 0.74/1.01 (define @t39 () (= @t38 tptp.sk_c7)) % 0.74/1.01 (define @t40 () (or @t39 @t16)) % 0.74/1.01 (define @t41 () (or @t39 @t19)) % 0.74/1.01 (define @t42 () (or @t39 @t22)) % 0.74/1.01 (define @t43 () (or @t39 @t24)) % 0.74/1.01 (define @t44 () (tptp.multiply tptp.sk_c2 tptp.sk_c8)) % 0.74/1.01 (define @t45 () (= @t44 tptp.sk_c3)) % 0.74/1.01 (define @t46 () (or @t45 @t16)) % 0.74/1.01 (define @t47 () (or @t45 @t19)) % 0.74/1.01 (define @t48 () (or @t45 @t22)) % 0.74/1.01 (define @t49 () (or @t45 @t24)) % 0.74/1.01 (define @t50 () (tptp.inverse tptp.sk_c2)) % 0.74/1.01 (define @t51 () (= @t50 tptp.sk_c8)) % 0.74/1.01 (define @t52 () (or @t51 @t16)) % 0.74/1.01 (define @t53 () (or @t51 @t19)) % 0.74/1.01 (define @t54 () (or @t51 @t22)) % 0.74/1.01 (define @t55 () (or @t51 @t24)) % 0.74/1.01 (define @t56 () (@var "X2" $$unsorted)) % 0.74/1.01 (define @t57 () (tptp.inverse @t56)) % 0.74/1.01 (define @t58 () (not (= @t57 tptp.sk_c8))) % 0.74/1.01 (define @t59 () (@var "X1" $$unsorted)) % 0.74/1.01 (define @t60 () (tptp.multiply @t56 tptp.sk_c8)) % 0.74/1.01 (define @t61 () (not (= @t60 @t59))) % 0.74/1.01 (define @t62 () (tptp.multiply tptp.sk_c8 @t59)) % 0.74/1.01 (define @t63 () (not (= @t62 tptp.sk_c7))) % 0.74/1.01 (define @t64 () (not @t16)) % 0.74/1.01 (define @t65 () (not @t11)) % 0.74/1.01 (define @t66 () (@var "X5" $$unsorted)) % 0.74/1.01 (define @t67 () (tptp.inverse @t66)) % 0.74/1.01 (define @t68 () (not (= @t67 tptp.sk_c8))) % 0.74/1.01 (define @t69 () (@var "X4" $$unsorted)) % 0.74/1.01 (define @t70 () (tptp.multiply @t66 tptp.sk_c8)) % 0.74/1.01 (define @t71 () (not (= @t70 @t69))) % 0.74/1.01 (define @t72 () (tptp.multiply tptp.sk_c8 @t69)) % 0.74/1.01 (define @t73 () (not (= @t72 tptp.sk_c7))) % 0.74/1.01 (define @t74 () (@var "X3" $$unsorted)) % 0.74/1.01 (define @t75 () (tptp.inverse @t74)) % 0.74/1.01 (define @t76 () (not (= @t75 tptp.sk_c7))) % 0.74/1.01 (define @t77 () (tptp.multiply @t74 tptp.sk_c7)) % 0.74/1.01 (define @t78 () (not (= @t77 tptp.sk_c8))) % 0.74/1.01 (define @t79 () (not @t13)) % 0.74/1.01 (define @t80 () (or @t79 @t78 @t76 @t73 @t71 @t68 @t65 @t64 @t63 @t61 @t58)) % 0.74/1.01 (define @t81 () (@list @t74 @t69 @t66 @t59 @t56)) % 0.74/1.01 (define @t82 () (forall @t81 @t80)) % 0.74/1.01 (define @t83 () (@list tptp.sk_c8)) % 0.74/1.01 (define @t84 () (@list tptp.sk_c1)) % 0.74/1.01 (define @t85 () (not (= tptp.sk_c8 @t67))) % 0.74/1.01 (define @t86 () (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t70)))) % 0.74/1.01 (define @t87 () (or @t86 @t85)) % 0.74/1.01 (define @t88 () (@list @t66)) % 0.74/1.01 (define @t89 () (forall @t88 @t87)) % 0.74/1.01 (define @t90 () (@quantifiers_skolemize @t89 0)) % 0.74/1.01 (define @t91 () (tptp.multiply tptp.sk_c8 @t90)) % 0.74/1.01 (define @t92 () (tptp.multiply @t91 tptp.sk_c8)) % 0.74/1.01 (define @t93 () (tptp.multiply @t90 tptp.sk_c8)) % 0.74/1.01 (define @t94 () (tptp.multiply tptp.sk_c8 @t93)) % 0.74/1.01 (define @t95 () (= @t92 @t94)) % 0.74/1.01 (define @t96 () (@list tptp.sk_c8 @t90 tptp.sk_c8)) % 0.74/1.01 (define @t97 () (= @t94 @t92)) % 0.74/1.01 (define @t98 () (@list false)) % 0.74/1.01 (define @t99 () (@list @t9)) % 0.74/1.01 (define @t100 () (tptp.inverse @t90)) % 0.74/1.01 (define @t101 () (tptp.multiply @t93 @t93)) % 0.74/1.01 (define @t102 () (tptp.multiply tptp.sk_c6 tptp.sk_c8)) % 0.74/1.01 (define @t103 () (tptp.multiply tptp.sk_c7 @t90)) % 0.74/1.01 (define @t104 () (= tptp.sk_c8 @t26)) % 0.74/1.01 (define @t105 () (= tptp.sk_c6 @t15)) % 0.74/1.01 (define @t106 () (= tptp.sk_c7 @t32)) % 0.74/1.01 (define @t107 () (= tptp.sk_c7 @t38)) % 0.74/1.01 (define @t108 () (= tptp.sk_c3 @t44)) % 0.74/1.01 (define @t109 () (= tptp.sk_c8 @t50)) % 0.74/1.01 (define @t110 () (not @t106)) % 0.74/1.01 (define @t111 () (not @t104)) % 0.74/1.01 (define @t112 () (or @t111 @t110)) % 0.74/1.01 (define @t113 () (not @t112)) % 0.74/1.01 (define @t114 () (not (= tptp.sk_c7 @t75))) % 0.74/1.01 (define @t115 () (not (= tptp.sk_c8 @t77))) % 0.74/1.01 (define @t116 () (or @t115 @t114)) % 0.74/1.01 (define @t117 () (forall (@list @t74) @t116)) % 0.74/1.01 (define @t118 () (@quantifiers_skolemize @t117 0)) % 0.74/1.01 (define @t119 () (tptp.inverse @t118)) % 0.74/1.01 (define @t120 () (= tptp.sk_c7 @t119)) % 0.74/1.01 (define @t121 () (not @t120)) % 0.74/1.01 (define @t122 () (tptp.multiply @t118 tptp.sk_c7)) % 0.74/1.01 (define @t123 () (= tptp.sk_c8 @t122)) % 0.74/1.01 (define @t124 () (not @t123)) % 0.74/1.01 (define @t125 () (or @t124 @t121)) % 0.74/1.01 (define @t126 () (not @t125)) % 0.74/1.01 (define @t127 () (not @t117)) % 0.74/1.01 (define @t128 () (@list tptp.sk_c2)) % 0.74/1.01 (define @t129 () (@list @t118)) % 0.74/1.01 (define @t130 () (tptp.multiply tptp.sk_c7 @t93)) % 0.74/1.01 (define @t131 () (tptp.multiply @t90 @t118)) % 0.74/1.01 (define @t132 () (tptp.multiply @t118 tptp.sk_c8)) % 0.74/1.01 (define @t133 () (tptp.multiply tptp.sk_c2 @t118)) % 0.74/1.01 (define @t134 () (tptp.multiply @t15 @t118)) % 0.74/1.01 (define @t135 () (tptp.multiply @t93 @t118)) % 0.74/1.01 (define @t136 () (tptp.multiply tptp.sk_c7 tptp.sk_c3)) % 0.74/1.01 (define @t137 () (tptp.multiply tptp.sk_c7 @t118)) % 0.74/1.01 (define @t138 () (tptp.multiply @t137 @t118)) % 0.74/1.01 (define @t139 () (tptp.multiply @t118 @t118)) % 0.74/1.01 (define @t140 () (tptp.multiply @t130 @t118)) % 0.74/1.01 (define @t141 () (tptp.multiply @t118 @t130)) % 0.74/1.01 (define @t142 () (tptp.multiply @t139 @t138)) % 0.74/1.01 (define @t143 () (tptp.multiply @t118 @t94)) % 0.74/1.01 (define @t144 () (tptp.multiply @t90 @t132)) % 0.74/1.01 (define @t145 () (tptp.multiply @t144 @t93)) % 0.74/1.01 (define @t146 () (tptp.multiply @t145 @t118)) % 0.74/1.01 (define @t147 () (tptp.multiply @t144 @t135)) % 0.74/1.01 (define @t148 () (= @t146 @t147)) % 0.74/1.01 (define @t149 () (= @t147 @t146)) % 0.74/1.01 (define @t150 () (tptp.multiply @t134 @t94)) % 0.74/1.01 (define @t151 () (tptp.multiply @t133 tptp.sk_c8)) % 0.74/1.01 (define @t152 () (tptp.multiply @t118 @t140)) % 0.74/1.01 (define @t153 () (tptp.multiply @t118 @t136)) % 0.74/1.01 (define @t154 () (tptp.multiply @t118 @t152)) % 0.74/1.01 (define @t155 () (= tptp.sk_c6 @t12)) % 0.74/1.01 (define @t156 () (= tptp.sk_c7 @t94)) % 0.74/1.01 (define @t157 () (tptp.multiply @t15 tptp.sk_c8)) % 0.74/1.01 (define @t158 () (= tptp.identity @t157)) % 0.74/1.01 (define @t159 () (= tptp.identity (tptp.multiply @t50 tptp.sk_c2))) % 0.74/1.01 (define @t160 () (tptp.multiply @t119 @t118)) % 0.74/1.01 (define @t161 () (= tptp.identity @t160)) % 0.74/1.01 (define @t162 () (tptp.multiply @t93 tptp.sk_c8)) % 0.74/1.01 (define @t163 () (tptp.multiply tptp.sk_c8 @t162)) % 0.74/1.01 (define @t164 () (tptp.multiply @t94 tptp.sk_c8)) % 0.74/1.01 (define @t165 () (= @t164 @t163)) % 0.74/1.01 (define @t166 () (tptp.multiply @t122 tptp.sk_c3)) % 0.74/1.01 (define @t167 () (= @t166 @t153)) % 0.74/1.01 (define @t168 () (tptp.multiply @t122 @t93)) % 0.74/1.01 (define @t169 () (= @t168 @t141)) % 0.74/1.01 (define @t170 () (tptp.multiply tptp.sk_c7 @t122)) % 0.74/1.01 (define @t171 () (tptp.multiply @t137 tptp.sk_c7)) % 0.74/1.01 (define @t172 () (= @t171 @t170)) % 0.74/1.01 (define @t173 () (tptp.multiply tptp.sk_c2 @t122)) % 0.74/1.01 (define @t174 () (= (tptp.multiply @t133 tptp.sk_c7) @t173)) % 0.74/1.01 (define @t175 () (tptp.multiply @t90 @t122)) % 0.74/1.01 (define @t176 () (tptp.multiply @t131 tptp.sk_c7)) % 0.74/1.01 (define @t177 () (= @t176 @t175)) % 0.74/1.01 (define @t178 () (tptp.multiply @t132 @t93)) % 0.74/1.01 (define @t179 () (= @t178 @t143)) % 0.74/1.01 (define @t180 () (tptp.multiply tptp.identity tptp.sk_c8)) % 0.74/1.01 (define @t181 () (= tptp.sk_c8 @t180)) % 0.74/1.01 (define @t182 () (tptp.multiply tptp.identity tptp.sk_c7)) % 0.74/1.01 (define @t183 () (= tptp.sk_c7 @t182)) % 0.74/1.01 (define @t184 () (tptp.multiply @t137 tptp.sk_c8)) % 0.74/1.01 (define @t185 () (= @t184 (tptp.multiply tptp.sk_c7 @t132))) % 0.74/1.01 (define @t186 () (tptp.multiply @t141 @t118)) % 0.74/1.01 (define @t187 () (= @t186 @t152)) % 0.74/1.01 (define @t188 () (tptp.multiply @t131 @t12)) % 0.74/1.01 (define @t189 () (= (tptp.multiply @t176 tptp.sk_c8) @t188)) % 0.74/1.01 (define @t190 () (tptp.multiply @t90 @t178)) % 0.74/1.01 (define @t191 () (= @t145 @t190)) % 0.74/1.01 (define @t192 () (tptp.multiply @t118 @t141)) % 0.74/1.01 (define @t193 () (tptp.multiply @t139 @t130)) % 0.74/1.01 (define @t194 () (= @t193 @t192)) % 0.74/1.01 (define @t195 () (tptp.multiply @t131 @t141)) % 0.74/1.01 (define @t196 () (= (tptp.multiply (tptp.multiply @t131 @t118) @t130) @t195)) % 0.74/1.01 (define @t197 () (tptp.multiply @t133 @t141)) % 0.74/1.01 (define @t198 () (tptp.multiply (tptp.multiply @t133 @t118) @t130)) % 0.74/1.01 (define @t199 () (= @t198 @t197)) % 0.74/1.01 (define @t200 () (tptp.multiply @t93 @t143)) % 0.74/1.01 (define @t201 () (tptp.multiply @t135 @t94)) % 0.74/1.01 (define @t202 () (= @t201 @t200)) % 0.74/1.01 (define @t203 () (tptp.multiply @t15 @t143)) % 0.74/1.01 (define @t204 () (= @t150 @t203)) % 0.74/1.01 (define @t205 () (= @t118 (tptp.multiply tptp.identity @t118))) % 0.74/1.01 (define @t206 () (tptp.multiply @t134 @t164)) % 0.74/1.01 (define @t207 () (tptp.multiply @t150 tptp.sk_c8)) % 0.74/1.01 (define @t208 () (= @t207 @t206)) % 0.74/1.01 (define @t209 () (tptp.multiply @t201 @t118)) % 0.74/1.01 (define @t210 () (= @t209 (tptp.multiply @t135 (tptp.multiply @t94 @t118)))) % 0.74/1.01 (define @t211 () (tptp.multiply @t118 @t153)) % 0.74/1.01 (define @t212 () (tptp.multiply @t139 @t136)) % 0.74/1.01 (define @t213 () (= @t212 @t211)) % 0.74/1.01 (define @t214 () (tptp.multiply @t138 @t130)) % 0.74/1.01 (define @t215 () (tptp.multiply @t142 @t130)) % 0.74/1.01 (define @t216 () (= @t215 (tptp.multiply @t139 @t214))) % 0.74/1.01 (define @t217 () (tptp.multiply @t139 @t140)) % 0.74/1.01 (define @t218 () (= @t217 @t154)) % 0.74/1.01 (define @t219 () (tptp.multiply tptp.identity @t93)) % 0.74/1.01 (define @t220 () (= @t93 @t219)) % 0.74/1.01 (define @t221 () (tptp.multiply tptp.sk_c8 @t118)) % 0.74/1.01 (define @t222 () (tptp.multiply @t93 @t221)) % 0.74/1.01 (define @t223 () (= (tptp.multiply @t162 @t118) @t222)) % 0.74/1.01 (define @t224 () (tptp.multiply tptp.sk_c7 @t139)) % 0.74/1.01 (define @t225 () (= @t138 @t224)) % 0.74/1.01 (define @t226 () (= @t195 (tptp.multiply @t90 @t192))) % 0.74/1.01 (define @t227 () (tptp.multiply @t142 @t140)) % 0.74/1.01 (define @t228 () (= (tptp.multiply @t215 @t118) @t227)) % 0.74/1.01 (define @t229 () (tptp.multiply @t118 @t138)) % 0.74/1.01 (define @t230 () (tptp.multiply @t118 @t229)) % 0.74/1.01 (define @t231 () (= @t142 @t230)) % 0.74/1.01 (define @t232 () (tptp.multiply @t135 @t132)) % 0.74/1.01 (define @t233 () (= @t232 (tptp.multiply @t93 (tptp.multiply @t118 @t132)))) % 0.74/1.01 (define @t234 () (tptp.multiply @t200 @t118)) % 0.74/1.01 (define @t235 () (= @t234 (tptp.multiply @t93 (tptp.multiply @t143 @t118)))) % 0.74/1.01 (define @t236 () (tptp.multiply @t118 @t217)) % 0.74/1.01 (define @t237 () (= (tptp.multiply (tptp.multiply @t118 @t139) @t140) @t236)) % 0.74/1.01 (define @t238 () (tptp.multiply @t134 @t12)) % 0.74/1.01 (define @t239 () (tptp.multiply @t134 tptp.sk_c7)) % 0.74/1.01 (define @t240 () (= (tptp.multiply @t239 tptp.sk_c8) @t238)) % 0.74/1.01 (define @t241 () (tptp.multiply @t150 @t118)) % 0.74/1.01 (define @t242 () (tptp.multiply @t241 tptp.sk_c8)) % 0.74/1.01 (define @t243 () (= @t242 (tptp.multiply @t150 @t132))) % 0.74/1.01 (define @t244 () (tptp.multiply tptp.identity tptp.sk_c3)) % 0.74/1.01 (define @t245 () (= tptp.sk_c3 @t244)) % 0.74/1.01 (define @t246 () (tptp.multiply tptp.identity @t151)) % 0.74/1.01 (define @t247 () (= @t151 @t246)) % 0.74/1.01 (define @t248 () (tptp.multiply @t44 @t151)) % 0.74/1.01 (define @t249 () (= @t248 (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 @t151)))) % 0.74/1.01 (define @t250 () (tptp.multiply tptp.sk_c2 @t154)) % 0.74/1.01 (define @t251 () (= (tptp.multiply @t133 @t152) @t250)) % 0.74/1.01 (define @t252 () (tptp.multiply @t139 @t153)) % 0.74/1.01 (define @t253 () (= @t252 (tptp.multiply @t118 @t211))) % 0.74/1.01 (define @t254 () (tptp.multiply @t154 @t118)) % 0.74/1.01 (define @t255 () (= @t254 (tptp.multiply @t118 (tptp.multiply @t152 @t118)))) % 0.74/1.01 (define @t256 () (tptp.multiply @t137 tptp.sk_c2)) % 0.74/1.01 (define @t257 () (tptp.multiply @t256 @t154)) % 0.74/1.01 (define @t258 () (= @t257 (tptp.multiply @t137 @t250))) % 0.74/1.01 (define @t259 () (tptp.multiply @t137 @t138)) % 0.74/1.01 (define @t260 () (tptp.multiply @t157 @t93)) % 0.74/1.01 (define @t261 () (and @t155 @t107 @t108 @t109 @t156 @t123 @t120 @t158 @t159 @t161 @t165 @t167 @t169 @t172 @t174 @t177 @t179 @t181 @t183 @t185 @t187 @t189 @t191 @t194 @t196 @t199 @t202 @t204 @t205 @t208 @t210 @t213 @t216 @t218 @t220 @t223 @t225 @t226 @t228 @t231 @t233 @t235 @t237 @t149 @t240 @t243 @t245 @t247 @t249 @t251 @t253 @t255 @t258)) % 0.74/1.01 (define @t262 () (not @t220)) % 0.74/1.01 (define @t263 () (not @t208)) % 0.74/1.01 (define @t264 () (not @t205)) % 0.74/1.01 (define @t265 () (not @t204)) % 0.74/1.01 (define @t266 () (not @t189)) % 0.74/1.01 (define @t267 () (not @t183)) % 0.74/1.01 (define @t268 () (not @t181)) % 0.74/1.01 (define @t269 () (not @t177)) % 0.74/1.01 (define @t270 () (not @t172)) % 0.74/1.01 (define @t271 () (not @t169)) % 0.74/1.01 (define @t272 () (not @t165)) % 0.74/1.01 (define @t273 () (not @t161)) % 0.74/1.01 (define @t274 () (not @t158)) % 0.74/1.01 (define @t275 () (not @t156)) % 0.74/1.01 (define @t276 () (not @t109)) % 0.74/1.01 (define @t277 () (not @t155)) % 0.74/1.01 (define @t278 () (= tptp.sk_c8 @t100)) % 0.74/1.01 (define @t279 () (not @t278)) % 0.74/1.01 (define @t280 () (or @t275 @t279)) % 0.74/1.01 (define @t281 () (not @t280)) % 0.74/1.01 (define @t282 () (not @t89)) % 0.74/1.01 (define @t283 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t44))) % 0.74/1.01 (define @t284 () (not @t283)) % 0.74/1.01 (define @t285 () (or @t284 @t276)) % 0.74/1.01 (define @t286 () (and @t107 @t108)) % 0.74/1.01 (define @t287 () (@list tptp.sk_c4)) % 0.74/1.01 (define @t288 () (= tptp.sk_c8 @t23)) % 0.74/1.01 (define @t289 () (not @t288)) % 0.74/1.01 (define @t290 () (tptp.multiply tptp.sk_c8 @t21)) % 0.74/1.01 (define @t291 () (= tptp.sk_c7 @t290)) % 0.74/1.01 (define @t292 () (not @t291)) % 0.74/1.01 (define @t293 () (or @t292 @t289)) % 0.74/1.01 (define @t294 () (= tptp.sk_c7 @t18)) % 0.74/1.01 (define @t295 () (= tptp.sk_c5 @t21)) % 0.74/1.01 (define @t296 () (and @t294 @t295)) % 0.74/1.01 (define @t297 () (not @t293)) % 0.74/1.01 (define @t298 () (@list false false)) % 0.74/1.01 (define @t299 () (not @t294)) % 0.74/1.01 (define @t300 () (@list true)) % 0.74/1.01 (define @t301 () (@list @t89)) % 0.74/1.01 (define @t302 () (@list @t280)) % 0.74/1.01 (define @t303 () (@list @t90 tptp.sk_c8 tptp.sk_c4)) % 0.74/1.01 (define @t304 () (tptp.multiply tptp.sk_c8 tptp.sk_c4)) % 0.74/1.01 (define @t305 () (tptp.multiply @t90 @t304)) % 0.74/1.01 (define @t306 () (tptp.multiply @t93 tptp.sk_c4)) % 0.74/1.01 (define @t307 () (= @t306 @t305)) % 0.74/1.01 (define @t308 () (tptp.multiply @t92 tptp.sk_c4)) % 0.74/1.01 (define @t309 () (tptp.multiply @t91 @t304)) % 0.74/1.01 (define @t310 () (= @t308 @t309)) % 0.74/1.01 (define @t311 () (@list @t91 tptp.sk_c8 tptp.sk_c4)) % 0.74/1.01 (define @t312 () (@list tptp.sk_c8 @t90 @t304)) % 0.74/1.01 (define @t313 () (tptp.multiply tptp.sk_c8 @t305)) % 0.74/1.01 (define @t314 () (= @t309 @t313)) % 0.74/1.01 (define @t315 () (forall @t3 (= @t1 @t2))) % 0.74/1.01 (define @t316 () (@list tptp.sk_c5)) % 0.74/1.01 (define @t317 () (tptp.multiply tptp.identity tptp.sk_c5)) % 0.74/1.01 (define @t318 () (= tptp.sk_c5 @t317)) % 0.74/1.01 (define @t319 () (tptp.multiply tptp.identity tptp.sk_c4)) % 0.74/1.01 (define @t320 () (= tptp.sk_c4 @t319)) % 0.74/1.01 (define @t321 () (@list @t90 @t130 tptp.sk_c5)) % 0.74/1.01 (define @t322 () (tptp.multiply @t130 tptp.sk_c5)) % 0.74/1.01 (define @t323 () (tptp.multiply @t90 @t322)) % 0.74/1.01 (define @t324 () (tptp.multiply @t90 @t130)) % 0.74/1.01 (define @t325 () (tptp.multiply @t324 tptp.sk_c5)) % 0.74/1.01 (define @t326 () (= @t325 @t323)) % 0.74/1.01 (define @t327 () (tptp.multiply @t91 @t94)) % 0.74/1.01 (define @t328 () (= (tptp.multiply @t92 @t93) @t327)) % 0.74/1.01 (define @t329 () (@list @t90 @t304 tptp.sk_c8)) % 0.74/1.01 (define @t330 () (tptp.multiply @t304 tptp.sk_c8)) % 0.74/1.01 (define @t331 () (tptp.multiply @t305 tptp.sk_c8)) % 0.74/1.01 (define @t332 () (= @t331 (tptp.multiply @t90 @t330))) % 0.74/1.01 (define @t333 () (tptp.multiply @t100 @t93)) % 0.74/1.01 (define @t334 () (tptp.multiply @t100 @t90)) % 0.74/1.01 (define @t335 () (tptp.multiply @t334 tptp.sk_c8)) % 0.74/1.01 (define @t336 () (= @t335 @t333)) % 0.74/1.01 (define @t337 () (tptp.multiply @t15 @t94)) % 0.74/1.01 (define @t338 () (= @t260 @t337)) % 0.74/1.01 (define @t339 () (forall @t3 (= tptp.identity @t5))) % 0.74/1.01 (define @t340 () (= tptp.identity @t334)) % 0.74/1.01 (define @t341 () (tptp.multiply @t23 tptp.sk_c4)) % 0.74/1.01 (define @t342 () (= tptp.identity @t341)) % 0.74/1.01 (define @t343 () (= @t309 @t308)) % 0.74/1.01 (define @t344 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 0.74/1.01 (define @t345 () (tptp.multiply @t102 tptp.sk_c4)) % 0.74/1.01 (define @t346 () (tptp.multiply @t15 tptp.sk_c7)) % 0.74/1.01 (define @t347 () (tptp.multiply @t94 @t319)) % 0.74/1.01 (define @t348 () (tptp.multiply @t94 tptp.sk_c4)) % 0.74/1.01 (define @t349 () (tptp.multiply @t23 @t319)) % 0.74/1.01 (define @t350 () (tptp.multiply @t93 tptp.sk_c7)) % 0.74/1.01 (define @t351 () (tptp.multiply @t90 tptp.sk_c7)) % 0.74/1.01 (define @t352 () (tptp.multiply @t91 tptp.sk_c7)) % 0.74/1.01 (define @t353 () (and @t105 @t294 @t288 @t156 @t278 @t158 @t342 @t340 @t97 @t181 @t338 @t220 @t336 @t332 @t328 @t326 @t320 @t318 @t314 @t343 @t307)) % 0.74/1.01 (define @t354 () (not @t307)) % 0.74/1.01 (define @t355 () (not @t343)) % 0.74/1.01 (define @t356 () (not @t314)) % 0.74/1.01 (define @t357 () (not @t318)) % 0.74/1.01 (define @t358 () (not @t320)) % 0.74/1.01 (define @t359 () (not @t326)) % 0.74/1.01 (define @t360 () (not @t328)) % 0.74/1.01 (define @t361 () (not @t336)) % 0.74/1.01 (define @t362 () (not @t338)) % 0.74/1.01 (define @t363 () (not @t97)) % 0.74/1.01 (define @t364 () (not @t340)) % 0.74/1.01 (define @t365 () (not @t342)) % 0.74/1.01 (define @t366 () (not @t105)) % 0.74/1.01 (define @t367 () (= tptp.sk_c7 @t100)) % 0.74/1.01 (define @t368 () (= tptp.sk_c7 @t23)) % 0.74/1.01 (define @t369 () (and @t288 @t156 @t278 @t340 @t181 @t336)) % 0.74/1.01 (define @t370 () (= tptp.sk_c8 @t10)) % 0.74/1.01 (define @t371 () (= @t330 @t290)) % 0.74/1.01 (define @t372 () (tptp.multiply @t94 @t102)) % 0.74/1.01 (define @t373 () (= (tptp.multiply (tptp.multiply @t94 tptp.sk_c6) tptp.sk_c8) @t372)) % 0.74/1.01 (define @t374 () (tptp.multiply tptp.sk_c4 @t12)) % 0.74/1.01 (define @t375 () (= (tptp.multiply @t344 tptp.sk_c8) @t374)) % 0.74/1.01 (define @t376 () (tptp.multiply @t10 @t93)) % 0.74/1.01 (define @t377 () (tptp.multiply tptp.sk_c7 @t102)) % 0.74/1.01 (define @t378 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 0.74/1.01 (define @t379 () (tptp.multiply @t93 tptp.sk_c5)) % 0.74/1.01 (define @t380 () (tptp.multiply @t379 tptp.sk_c7)) % 0.74/1.01 (define @t381 () (= tptp.sk_c8 @t344)) % 0.74/1.01 (define @t382 () (and @t370 @t105 @t294 @t295 @t288 @t156 @t158 @t342 @t371 @t97 @t181 @t338 @t220 @t373 @t375 @t328 @t326 @t318)) % 0.74/1.01 (define @t383 () (not @t371)) % 0.74/1.01 (define @t384 () (not @t295)) % 0.74/1.01 (define @t385 () (not @t370)) % 0.74/1.01 (define @t386 () (not @t368)) % 0.74/1.01 (define @t387 () (not @t381)) % 0.74/1.01 (define @t388 () (or @t387 @t386)) % 0.74/1.01 (define @t389 () (not (= tptp.sk_c8 @t57))) % 0.74/1.01 (define @t390 () (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t60)))) % 0.74/1.01 (define @t391 () (or @t390 @t389)) % 0.74/1.01 (define @t392 () (@list @t56)) % 0.74/1.01 (define @t393 () (forall @t392 @t391)) % 0.74/1.01 (define @t394 () (not (= @t60 @t60))) % 0.74/1.01 (define @t395 () (or @t390 @t394 @t389)) % 0.74/1.01 (define @t396 () (not (= @t59 @t60))) % 0.74/1.01 (define @t397 () (not (= tptp.sk_c7 @t62))) % 0.74/1.01 (define @t398 () (or @t396 @t397 @t396 @t389)) % 0.74/1.01 (define @t399 () (@list @t59)) % 0.74/1.01 (define @t400 () (or @t397 @t396 @t389)) % 0.74/1.01 (define @t401 () (forall @t399 @t400)) % 0.74/1.01 (define @t402 () (forall @t392 @t401)) % 0.74/1.01 (define @t403 () (forall (@list @t56 @t59) @t400)) % 0.74/1.01 (define @t404 () (forall (@list @t59 @t56) @t400)) % 0.74/1.01 (define @t405 () (not (= @t70 @t70))) % 0.74/1.01 (define @t406 () (or @t86 @t405 @t85)) % 0.74/1.01 (define @t407 () (not (= @t69 @t70))) % 0.74/1.01 (define @t408 () (not (= tptp.sk_c7 @t72))) % 0.74/1.01 (define @t409 () (or @t407 @t408 @t407 @t85)) % 0.74/1.01 (define @t410 () (@list @t69)) % 0.74/1.01 (define @t411 () (or @t408 @t407 @t85)) % 0.74/1.01 (define @t412 () (forall @t410 @t411)) % 0.74/1.01 (define @t413 () (forall @t88 @t412)) % 0.74/1.01 (define @t414 () (forall (@list @t66 @t69) @t411)) % 0.74/1.01 (define @t415 () (forall (@list @t69 @t66) @t411)) % 0.74/1.01 (define @t416 () (or @t277 @t385 @t366 @t117 @t415 @t404)) % 0.74/1.01 (define @t417 () (or @t277 @t385 @t366 @t116 @t411 @t400)) % 0.74/1.01 (define @t418 () (or @t277 @t115 @t114 @t408 @t407 @t85 @t385 @t366 @t397 @t396 @t389)) % 0.74/1.01 (define @t419 () (tptp.multiply tptp.sk_c7 tptp.sk_c4)) % 0.74/1.01 (define @t420 () (tptp.multiply @t419 @t118)) % 0.74/1.01 (define @t421 () (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 @t118))) % 0.74/1.01 (define @t422 () (= @t420 @t421)) % 0.74/1.01 (define @t423 () (@list tptp.sk_c7 tptp.sk_c4 @t118)) % 0.74/1.01 (define @t424 () (= @t421 @t420)) % 0.74/1.01 (define @t425 () (tptp.multiply @t137 @t141)) % 0.74/1.01 (define @t426 () (= @t214 @t425)) % 0.74/1.01 (define @t427 () (and @t105 @t294 @t295 @t288 @t156 @t123 @t120 @t158 @t342 @t161 @t165 @t169 @t172 @t371 @t177 @t181 @t183 @t189 @t426 @t204 @t205 @t208 @t424)) % 0.74/1.01 (define @t428 () (tptp.multiply @t379 tptp.sk_c8)) % 0.74/1.01 (define @t429 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 0.74/1.01 (define @t430 () (tptp.multiply @t429 @t90)) % 0.74/1.01 (define @t431 () (tptp.multiply @t430 tptp.sk_c7)) % 0.74/1.01 (define @t432 () (tptp.multiply @t431 @t319)) % 0.74/1.01 (define @t433 () (= (tptp.multiply (tptp.multiply @t431 tptp.identity) tptp.sk_c4) @t432)) % 0.74/1.01 (define @t434 () (not @t433)) % 0.74/1.01 (define @t435 () (tptp.multiply tptp.sk_c1 @t103)) % 0.74/1.01 (define @t436 () (tptp.multiply tptp.sk_c7 tptp.sk_c1)) % 0.74/1.01 (define @t437 () (tptp.multiply @t436 @t103)) % 0.74/1.01 (define @t438 () (= @t437 (tptp.multiply tptp.sk_c7 @t435))) % 0.74/1.01 (define @t439 () (not @t438)) % 0.74/1.01 (define @t440 () (tptp.multiply tptp.sk_c1 @t91)) % 0.74/1.01 (define @t441 () (= @t430 @t440)) % 0.74/1.01 (define @t442 () (not @t441)) % 0.74/1.01 (define @t443 () (tptp.multiply @t103 tptp.sk_c5)) % 0.74/1.01 (define @t444 () (tptp.multiply tptp.sk_c1 @t443)) % 0.74/1.01 (define @t445 () (= (tptp.multiply @t435 tptp.sk_c5) @t444)) % 0.74/1.01 (define @t446 () (not @t445)) % 0.74/1.01 (define @t447 () (tptp.multiply @t430 @t419)) % 0.74/1.01 (define @t448 () (= (tptp.multiply @t431 tptp.sk_c4) @t447)) % 0.74/1.01 (define @t449 () (not @t448)) % 0.74/1.01 (define @t450 () (= @t431 (tptp.multiply @t429 @t351))) % 0.74/1.01 (define @t451 () (not @t450)) % 0.74/1.01 (define @t452 () (tptp.multiply @t322 tptp.sk_c8)) % 0.74/1.01 (define @t453 () (= @t452 (tptp.multiply @t130 @t378))) % 0.74/1.01 (define @t454 () (not @t453)) % 0.74/1.01 (define @t455 () (tptp.multiply tptp.sk_c8 @t428)) % 0.74/1.01 (define @t456 () (tptp.multiply tptp.sk_c7 @t455)) % 0.74/1.01 (define @t457 () (= (tptp.multiply @t12 @t428) @t456)) % 0.74/1.01 (define @t458 () (not @t457)) % 0.74/1.01 (define @t459 () (tptp.multiply @t429 @t93)) % 0.74/1.01 (define @t460 () (= @t459 (tptp.multiply tptp.sk_c1 @t94))) % 0.74/1.01 (define @t461 () (not @t460)) % 0.74/1.01 (define @t462 () (= tptp.identity (tptp.multiply @t32 tptp.sk_c1))) % 0.74/1.01 (define @t463 () (not @t462)) % 0.74/1.01 (define @t464 () (tptp.multiply tptp.sk_c8 @t12)) % 0.74/1.01 (define @t465 () (= tptp.sk_c7 @t464)) % 0.74/1.01 (define @t466 () (not @t465)) % 0.74/1.01 (define @t467 () (tptp.multiply tptp.sk_c8 @t164)) % 0.74/1.01 (define @t468 () (tptp.multiply tptp.sk_c8 tptp.sk_c7)) % 0.74/1.01 (define @t469 () (tptp.multiply @t91 tptp.sk_c5)) % 0.74/1.01 (define @t470 () (tptp.multiply @t102 @t93)) % 0.74/1.01 (define @t471 () (tptp.multiply @t93 tptp.identity)) % 0.74/1.01 (define @t472 () (tptp.multiply @t94 @t90)) % 0.74/1.01 (define @t473 () (tptp.multiply tptp.sk_c8 tptp.sk_c1)) % 0.74/1.01 (define @t474 () (tptp.multiply tptp.sk_c8 @t157)) % 0.74/1.01 (define @t475 () (tptp.multiply tptp.sk_c8 @t346)) % 0.74/1.01 (define @t476 () (tptp.multiply tptp.sk_c8 @t15)) % 0.74/1.01 (define @t477 () (tptp.multiply @t322 tptp.sk_c6)) % 0.74/1.01 (define @t478 () (and @t466 @t465)) % 0.74/1.01 (define @t479 () (= (tptp.multiply @t26 @t90) @t435)) % 0.74/1.01 (define @t480 () (and @t155 @t105 @t294 @t104 @t106 @t156 @t278 @t158 @t462 @t340 @t97 @t181 @t338 @t220 @t336 @t479 @t457 @t453 @t328 @t326 @t318 @t438)) % 0.74/1.01 (define @t481 () (not @t479)) % 0.74/1.01 (define @t482 () (@list @t294)) % 0.74/1.01 (define @t483 () (tptp.multiply @t10 tptp.sk_c8)) % 0.74/1.01 (define @t484 () (= @t483 @t377)) % 0.74/1.01 (define @t485 () (tptp.multiply tptp.sk_c6 @t93)) % 0.74/1.01 (define @t486 () (tptp.multiply tptp.sk_c7 @t485)) % 0.74/1.01 (define @t487 () (= @t376 @t486)) % 0.74/1.01 (define @t488 () (tptp.multiply tptp.sk_c8 @t101)) % 0.74/1.01 (define @t489 () (tptp.multiply tptp.sk_c7 @t488)) % 0.74/1.01 (define @t490 () (= (tptp.multiply @t12 @t101) @t489)) % 0.74/1.01 (define @t491 () (= @t372 (tptp.multiply tptp.sk_c8 (tptp.multiply @t93 @t102)))) % 0.74/1.01 (define @t492 () (tptp.multiply @t94 tptp.identity)) % 0.74/1.01 (define @t493 () (and @t155 @t105 @t104 @t106 @t156 @t278 @t158 @t462 @t340 @t97 @t181 @t338 @t220 @t484 @t487 @t336 @t490 @t479 @t491 @t328 @t438)) % 0.74/1.01 (assume @p1 @t4) % 0.74/1.01 (assume @p2 @t6) % 0.74/1.01 (assume @p3 @t9) % 0.74/1.01 (assume @p4 @t14) % 0.74/1.01 (assume @p5 @t17) % 0.74/1.01 (assume @p6 @t20) % 0.74/1.01 (assume @p7 (or @t13 @t22)) % 0.74/1.01 (assume @p8 @t25) % 0.74/1.01 (assume @p9 @t28) % 0.74/1.01 (assume @p10 @t29) % 0.74/1.01 (assume @p11 @t30) % 0.74/1.01 (assume @p12 (or @t27 @t22)) % 0.74/1.01 (assume @p13 @t31) % 0.74/1.01 (assume @p14 @t34) % 0.74/1.01 (assume @p15 @t35) % 0.74/1.01 (assume @p16 @t36) % 0.74/1.01 (assume @p17 (or @t33 @t22)) % 0.74/1.01 (assume @p18 @t37) % 0.74/1.01 (assume @p19 (or @t39 @t11)) % 0.74/1.01 (assume @p20 @t40) % 0.74/1.01 (assume @p21 @t41) % 0.74/1.01 (assume @p22 @t42) % 0.74/1.01 (assume @p23 @t43) % 0.74/1.01 (assume @p24 (or @t45 @t11)) % 0.74/1.01 (assume @p25 @t46) % 0.74/1.01 (assume @p26 @t47) % 0.74/1.01 (assume @p27 @t48) % 0.74/1.01 (assume @p28 @t49) % 0.74/1.01 (assume @p29 (or @t51 @t11)) % 0.74/1.01 (assume @p30 @t52) % 0.74/1.01 (assume @p31 @t53) % 0.74/1.01 (assume @p32 @t54) % 0.74/1.01 (assume @p33 @t55) % 0.74/1.01 (assume @p34 @t82) % 0.74/1.01 (step @p35 :rule eq-symm :args (@t5 tptp.identity)) % 0.74/1.01 (step @p36 :rule cong :premises (@p35) :args (@t6)) % 0.74/1.01 (step @p37 :rule eq_resolve :premises (@p2 @p36)) % 0.74/1.01 (step @p38 :rule instantiate :premises (@p37) :args (@t83)) % 0.74/1.01 (step @p39 :rule instantiate :premises (@p37) :args (@t84)) % 0.74/1.01 (step @p40 :rule instantiate :premises (@p37) :args ((@list @t90))) % 0.74/1.01 (step @p41 :rule eq-symm :args (@t92 @t94)) % 0.74/1.01 (step @p42 :rule refl :args (@t9)) % 0.74/1.01 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t9 @t95))) % 0.74/1.01 (assume-push @p2200 @t9) % 0.74/1.01 (step @p45 :rule instantiate :premises (@p3) :args (@t96)) % 0.74/1.01 (step-pop @p2201 :rule scope :premises (@p45)) % 0.74/1.01 (step @p46 :rule process_scope :premises (@p2201) :args (@t95)) % 0.74/1.01 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.74/1.01 (step @p49 :rule implies_elim :premises (@p48)) % 0.74/1.01 (step @p50 :rule chain_m_resolution :premises (@p49 @p3) :args (@t97 @t98 @t99)) % 0.74/1.01 (step @p51 :rule eq-symm :args (@t2 @t1)) % 0.74/1.01 (step @p52 :rule cong :premises (@p51) :args (@t4)) % 0.74/1.01 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.74/1.01 (step @p54 :rule instantiate :premises (@p53) :args (@t83)) % 0.74/1.01 (step @p55 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c8 @t93))) % 0.74/1.01 (step @p56 :rule instantiate :premises (@p53) :args ((@list @t93))) % 0.74/1.01 (step @p57 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c6 tptp.sk_c8))) % 0.74/1.01 (step @p58 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c6 @t93))) % 0.74/1.01 (step @p59 :rule instantiate :premises (@p3) :args ((@list @t100 @t90 tptp.sk_c8))) % 0.74/1.01 (step @p60 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c8 @t101))) % 0.74/1.01 (step @p61 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c1 tptp.sk_c7 @t90))) % 0.74/1.01 (step @p62 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 @t93 @t102))) % 0.74/1.01 (step @p63 :rule instantiate :premises (@p3) :args ((@list @t91 tptp.sk_c8 @t93))) % 0.74/1.01 (step @p64 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c1 @t103))) % 0.74/1.01 (step @p65 :rule eq-symm :args (@t15 tptp.sk_c6)) % 0.74/1.01 (step @p66 :rule eq-symm :args (@t12 tptp.sk_c6)) % 0.74/1.01 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t17)) % 0.74/1.01 (step @p68 :rule eq_resolve :premises (@p5 @p67)) % 0.74/1.01 (step @p69 :rule eq-symm :args (@t26 tptp.sk_c8)) % 0.74/1.01 (step @p70 :rule nary_cong :premises (@p69 @p65) :args (@t29)) % 0.74/1.01 (step @p71 :rule eq_resolve :premises (@p10 @p70)) % 0.74/1.01 (step @p72 :rule reordering :premises (@p71) :args ((or @t105 @t104))) % 0.74/1.01 (step @p73 :rule eq-symm :args (@t32 tptp.sk_c7)) % 0.74/1.01 (step @p74 :rule nary_cong :premises (@p73 @p65) :args (@t35)) % 0.74/1.01 (step @p75 :rule eq_resolve :premises (@p15 @p74)) % 0.74/1.01 (step @p76 :rule reordering :premises (@p75) :args ((or @t105 @t106))) % 0.74/1.01 (step @p77 :rule eq-symm :args (@t38 tptp.sk_c7)) % 0.74/1.01 (step @p78 :rule nary_cong :premises (@p77 @p65) :args (@t40)) % 0.74/1.01 (step @p79 :rule eq_resolve :premises (@p20 @p78)) % 0.74/1.01 (step @p80 :rule reordering :premises (@p79) :args ((or @t105 @t107))) % 0.74/1.01 (step @p81 :rule eq-symm :args (@t44 tptp.sk_c3)) % 0.74/1.01 (step @p82 :rule nary_cong :premises (@p81 @p65) :args (@t46)) % 0.74/1.01 (step @p83 :rule eq_resolve :premises (@p25 @p82)) % 0.74/1.01 (step @p84 :rule reordering :premises (@p83) :args ((or @t105 @t108))) % 0.74/1.01 (step @p85 :rule eq-symm :args (@t50 tptp.sk_c8)) % 0.74/1.01 (step @p86 :rule nary_cong :premises (@p85 @p65) :args (@t52)) % 0.74/1.01 (step @p87 :rule eq_resolve :premises (@p30 @p86)) % 0.74/1.01 (step @p88 :rule reordering :premises (@p87) :args ((or @t105 @t109))) % 0.74/1.01 (step @p89 :rule cnf_or_pos :args (@t112)) % 0.74/1.01 (step @p90 :rule reordering :premises (@p89) :args ((or @t111 @t110 @t113))) % 0.74/1.01 (assume-push @p2202 @t117) % 0.74/1.01 (step @p92 :rule instantiate :premises (@p2202) :args (@t84)) % 0.74/1.01 (step-pop @p2203 :rule scope :premises (@p92)) % 0.74/1.01 (step @p93 :rule process_scope :premises (@p2203) :args (@t112)) % 0.74/1.01 (step @p95 :rule implies_elim :premises (@p93)) % 0.74/1.01 (step @p96 :rule refl :args (@t126)) % 0.74/1.01 (step @p97 :rule bool-double-not-elim :args (@t117)) % 0.74/1.01 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or (not @t127) @t126))) % 0.74/1.01 (assume-push @p2204 @t127) % 0.74/1.01 (step @p100 :rule skolemize :premises (@p2204)) % 0.74/1.01 (step-pop @p2205 :rule scope :premises (@p100)) % 0.74/1.01 (step @p101 :rule process_scope :premises (@p2205) :args (@t126)) % 0.74/1.01 (step @p103 :rule implies_elim :premises (@p101)) % 0.74/1.01 (step @p104 :rule eq_resolve :premises (@p103 @p98)) % 0.74/1.01 (step @p105 :rule bool-double-not-elim :args (@t123)) % 0.74/1.01 (step @p106 :rule refl :args (@t125)) % 0.74/1.01 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t125 (not @t124)))) % 0.74/1.01 (step @p108 :rule cnf_or_neg :args (@t125 0)) % 0.74/1.01 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.74/1.01 (step @p110 :rule reordering :premises (@p109) :args ((or @t123 @t125))) % 0.74/1.01 (step @p111 :rule bool-double-not-elim :args (@t120)) % 0.74/1.01 (step @p112 :rule nary_cong :premises (@p106 @p111) :args ((or @t125 (not @t121)))) % 0.74/1.01 (step @p113 :rule cnf_or_neg :args (@t125 1)) % 0.74/1.01 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 0.74/1.01 (step @p115 :rule reordering :premises (@p114) :args ((or @t120 @t125))) % 0.74/1.01 (step @p116 :rule instantiate :premises (@p37) :args (@t128)) % 0.74/1.01 (step @p117 :rule instantiate :premises (@p37) :args (@t129)) % 0.74/1.01 (step @p118 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 @t93 tptp.sk_c8))) % 0.74/1.01 (step @p119 :rule instantiate :premises (@p3) :args ((@list @t118 tptp.sk_c7 tptp.sk_c3))) % 0.74/1.01 (step @p120 :rule instantiate :premises (@p3) :args ((@list @t118 tptp.sk_c7 @t93))) % 0.74/1.01 (step @p121 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 @t118 tptp.sk_c7))) % 0.74/1.01 (step @p122 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c2 @t118 tptp.sk_c7))) % 0.74/1.01 (step @p123 :rule instantiate :premises (@p3) :args ((@list @t90 @t118 tptp.sk_c7))) % 0.74/1.01 (step @p124 :rule instantiate :premises (@p3) :args ((@list @t118 tptp.sk_c8 @t93))) % 0.74/1.01 (step @p125 :rule instantiate :premises (@p53) :args ((@list tptp.sk_c7))) % 0.74/1.01 (step @p126 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 @t118 tptp.sk_c8))) % 0.74/1.01 (step @p127 :rule instantiate :premises (@p3) :args ((@list @t118 @t130 @t118))) % 0.74/1.01 (step @p128 :rule instantiate :premises (@p3) :args ((@list @t131 tptp.sk_c7 tptp.sk_c8))) % 0.74/1.01 (step @p129 :rule instantiate :premises (@p3) :args ((@list @t90 @t132 @t93))) % 0.74/1.01 (step @p130 :rule instantiate :premises (@p3) :args ((@list @t118 @t118 @t130))) % 0.74/1.01 (step @p131 :rule instantiate :premises (@p3) :args ((@list @t131 @t118 @t130))) % 0.74/1.01 (step @p132 :rule instantiate :premises (@p3) :args ((@list @t133 @t118 @t130))) % 0.74/1.01 (step @p133 :rule instantiate :premises (@p3) :args ((@list @t93 @t118 @t94))) % 0.74/1.01 (step @p134 :rule instantiate :premises (@p3) :args ((@list @t15 @t118 @t94))) % 0.74/1.01 (step @p135 :rule instantiate :premises (@p53) :args (@t129)) % 0.74/1.01 (step @p136 :rule instantiate :premises (@p3) :args ((@list @t134 @t94 tptp.sk_c8))) % 0.74/1.01 (step @p137 :rule instantiate :premises (@p3) :args ((@list @t135 @t94 @t118))) % 0.74/1.01 (step @p138 :rule instantiate :premises (@p3) :args ((@list @t118 @t118 @t136))) % 0.74/1.01 (step @p139 :rule instantiate :premises (@p3) :args ((@list @t139 @t138 @t130))) % 0.74/1.01 (step @p140 :rule instantiate :premises (@p3) :args ((@list @t118 @t118 @t140))) % 0.74/1.01 (step @p141 :rule instantiate :premises (@p3) :args ((@list @t93 tptp.sk_c8 @t118))) % 0.74/1.01 (step @p142 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 @t118 @t118))) % 0.74/1.01 (step @p143 :rule instantiate :premises (@p3) :args ((@list @t90 @t118 @t141))) % 0.74/1.01 (step @p144 :rule instantiate :premises (@p3) :args ((@list @t142 @t130 @t118))) % 0.74/1.01 (step @p145 :rule instantiate :premises (@p3) :args ((@list @t118 @t118 @t138))) % 0.74/1.01 (step @p146 :rule instantiate :premises (@p3) :args ((@list @t93 @t118 @t132))) % 0.74/1.01 (step @p147 :rule instantiate :premises (@p3) :args ((@list @t93 @t143 @t118))) % 0.74/1.01 (step @p148 :rule instantiate :premises (@p3) :args ((@list @t118 @t139 @t140))) % 0.74/1.01 (step @p149 :rule eq-symm :args (@t146 @t147)) % 0.74/1.01 (step @p150 :rule cong :premises (@p42 @p149) :args ((=> @t9 @t148))) % 0.74/1.01 (assume-push @p2206 @t9) % 0.74/1.01 (step @p152 :rule instantiate :premises (@p3) :args ((@list @t144 @t93 @t118))) % 0.74/1.01 (step-pop @p2207 :rule scope :premises (@p152)) % 0.74/1.01 (step @p153 :rule process_scope :premises (@p2207) :args (@t148)) % 0.74/1.01 (step @p155 :rule eq_resolve :premises (@p153 @p150)) % 0.74/1.01 (step @p156 :rule implies_elim :premises (@p155)) % 0.74/1.01 (step @p157 :rule chain_m_resolution :premises (@p156 @p3) :args (@t149 @t98 @t99)) % 0.74/1.01 (step @p158 :rule instantiate :premises (@p3) :args ((@list @t134 tptp.sk_c7 tptp.sk_c8))) % 0.74/1.01 (step @p159 :rule instantiate :premises (@p3) :args ((@list @t150 @t118 tptp.sk_c8))) % 0.74/1.01 (step @p160 :rule instantiate :premises (@p53) :args ((@list tptp.sk_c3))) % 0.74/1.01 (step @p161 :rule instantiate :premises (@p53) :args ((@list @t151))) % 0.74/1.01 (step @p162 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c2 tptp.sk_c8 @t151))) % 0.74/1.01 (step @p163 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c2 @t118 @t152))) % 0.74/1.01 (step @p164 :rule instantiate :premises (@p3) 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(step @p2131 :rule trans :premises (@p2130 @p2129 @p1617)) % 0.74/1.02 (step @p2132 :rule trans :premises (@p2131 @p2112 @p431)) % 0.74/1.02 (step @p2133 :rule cong :premises (@p2132 @p2127) :args (@t437)) % 0.74/1.02 (step @p1625 :rule symm :premises (@p64)) % 0.74/1.02 (step @p2134 :rule cong :premises (@p3002 @p394) :args (@t91)) % 0.74/1.02 (step @p2135 :rule symm :premises (@p2124)) % 0.74/1.02 (step @p2136 :rule trans :premises (@p288 @p40 @p2135 @p2134 @p61)) % 0.74/1.02 (step @p2137 :rule cong :premises (@p2062 @p2136) :args (@t474)) % 0.74/1.02 (step @p2138 :rule symm :premises (@p2085)) % 0.74/1.02 (step @p2139 :rule symm :premises (@p2081)) % 0.74/1.02 (step @p2140 :rule trans :premises (@p54 @p1860 @p59 @p2061 @p2139 @p2138 @p2137 @p1625 @p2133 @p2123 @p2097 @p400)) % 0.74/1.02 (step @p2141 :rule refl :args (@t10)) % 0.74/1.02 (step @p2142 :rule cong :premises (@p2141 @p2140) :args (@t483)) % 0.74/1.02 (step @p2143 :rule symm :premises (@p57)) % 0.74/1.02 (step @p290 :rule refl :args (tptp.sk_c7)) % 0.74/1.02 (step @p2144 :rule cong :premises (@p290 @p2093) :args ((tptp.multiply tptp.sk_c7 tptp.identity))) % 0.74/1.02 (step @p2145 :rule refl :args (tptp.identity)) % 0.74/1.02 (step @p2146 :rule cong :premises (@p2059 @p2145) :args (@t492)) % 0.74/1.02 (step @p2147 :rule symm :premises (@p2087)) % 0.74/1.02 (step @p2148 :rule trans :premises (@p54 @p1860 @p59 @p2061 @p2139 @p2138 @p2147 @p2146 @p2144 @p2143 @p2142 @p58 @p2122 @p2076 @p2071 @p2063)) % 0.74/1.02 (step-pop @p3042 :rule scope :premises (@p2148)) % 0.74/1.02 (step-pop @p3043 :rule scope :premises (@p3042)) % 0.74/1.02 (step-pop @p3044 :rule scope :premises (@p3043)) % 0.74/1.02 (step-pop @p3045 :rule scope :premises (@p3044)) % 0.74/1.02 (step-pop @p3046 :rule scope :premises (@p3045)) % 0.74/1.02 (step-pop @p3047 :rule scope :premises (@p3046)) % 0.74/1.02 (step-pop @p3048 :rule scope :premises (@p3047)) % 0.74/1.02 (step-pop @p3049 :rule scope :premises (@p3048)) % 0.74/1.02 (step-pop @p3050 :rule scope :premises (@p3049)) % 0.74/1.02 (step-pop @p3051 :rule scope :premises (@p3050)) % 0.74/1.02 (step-pop @p3052 :rule scope :premises (@p3051)) % 0.74/1.02 (step-pop @p3053 :rule scope :premises (@p3052)) % 0.74/1.02 (step-pop @p3054 :rule scope :premises (@p3053)) % 0.74/1.02 (step-pop @p3055 :rule scope :premises (@p3054)) % 0.74/1.02 (step-pop @p3056 :rule scope :premises (@p3055)) % 0.74/1.02 (step-pop @p3057 :rule scope :premises (@p3056)) % 0.74/1.02 (step-pop @p3058 :rule scope :premises (@p3057)) % 0.74/1.02 (step-pop @p3059 :rule scope :premises (@p3058)) % 0.74/1.02 (step-pop @p3060 :rule scope :premises (@p3059)) % 0.74/1.02 (step-pop @p3061 :rule scope :premises (@p3060)) % 0.74/1.02 (step-pop @p3062 :rule scope :premises (@p3061)) % 0.74/1.02 (step @p2149 :rule process_scope :premises (@p3062) :args (@t370)) % 0.74/1.02 (step @p2171 :rule and_intro :premises (@p60 @p64 @p63 @p59 @p57 @p3004 @p3001 @p3002 @p3005 @p62 @p58 @p39 @p40 @p3000 @p38 @p54 @p55 @p3003 @p50 @p61 @p56)) % 0.74/1.02 (step @p2172 :rule modus_ponens :premises (@p2171 @p2149)) % 0.74/1.02 (step-pop @p3063 :rule scope :premises (@p2172)) % 0.74/1.02 (step-pop @p3064 :rule scope :premises (@p3063)) % 0.74/1.02 (step-pop @p3065 :rule scope :premises (@p3064)) % 0.74/1.02 (step-pop @p3066 :rule scope :premises (@p3065)) % 0.74/1.02 (step-pop @p3067 :rule scope :premises (@p3066)) % 0.74/1.02 (step-pop @p3068 :rule scope :premises (@p3067)) % 0.74/1.02 (step-pop @p3069 :rule scope :premises (@p3068)) % 0.74/1.02 (step-pop @p3070 :rule scope :premises (@p3069)) % 0.74/1.02 (step-pop @p3071 :rule scope :premises (@p3070)) % 0.74/1.02 (step-pop @p3072 :rule scope :premises (@p3071)) % 0.74/1.02 (step-pop @p3073 :rule scope :premises (@p3072)) % 0.74/1.02 (step-pop @p3074 :rule scope :premises (@p3073)) % 0.74/1.02 (step-pop @p3075 :rule scope :premises (@p3074)) % 0.74/1.02 (step-pop @p3076 :rule scope :premises (@p3075)) % 0.74/1.02 (step-pop @p3077 :rule scope :premises (@p3076)) % 0.74/1.02 (step-pop @p3078 :rule scope :premises (@p3077)) % 0.74/1.02 (step-pop @p3079 :rule scope :premises (@p3078)) % 0.74/1.02 (step-pop @p3080 :rule scope :premises (@p3079)) % 0.74/1.02 (step-pop @p3081 :rule scope :premises (@p3080)) % 0.74/1.02 (step-pop @p3082 :rule scope :premises (@p3081)) % 0.74/1.02 (step-pop @p3083 :rule scope :premises (@p3082)) % 0.74/1.02 (step @p2173 :rule process_scope :premises (@p3083) :args (@t370)) % 0.74/1.02 (step @p2195 :rule implies_elim :premises (@p2173)) % 0.74/1.02 (step @p2196 :rule cnf_and_neg :args (@t493)) % 0.74/1.02 (step @p2197 :rule resolution :premises (@p2196 @p2195) :args (true @t493)) % 0.74/1.02 (step @p2198 :rule reordering :premises (@p2197) :args ((or @t370 @t277 @t366 @t111 @t110 @t275 @t279 @t274 @t463 @t364 @t363 @t268 @t362 @t262 (not @t484) (not @t487) @t361 (not @t490) @t481 (not @t491) @t360 @t439))) % 0.74/1.02 (step @p2199 false :rule chain_m_resolution :premises (@p2198 @p2015 @p2012 @p2008 @p2004 @p720 @p714 @p654 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p50 @p40 @p39 @p38) :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) (@list @t370 @t106 @t104 @t155 @t278 @t156 @t105 @t438 @t328 @t491 @t479 @t490 @t336 @t487 @t484 @t220 @t338 @t181 @t97 @t340 @t462 @t158))) % 0.74/1.02 ) % 0.74/1.02 % SZS output end Proof % 0.74/1.02 % cvc5 exiting %------------------------------------------------------------------------------