%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP244-1 : 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 : n012.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 08:20:18 AM UTC 2026 % Result : Unsatisfiable 15.85s 16.21s % Output : Proof 15.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP244-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 01:00:18 EDT 2026 % 0.06/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/16.02 --- Run --no-e-matching --full-saturate-quant at 6... % 15.85/16.21 % SZS status Unsatisfiable % 15.85/16.21 % SZS output start Proof % 15.85/16.23 ( % 15.85/16.23 (declare-sort $$unsorted 0) % 15.85/16.23 (declare-const tptp.sk_c3 $$unsorted) % 15.85/16.23 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.23 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.85/16.23 (declare-const tptp.identity $$unsorted) % 15.85/16.23 (declare-const tptp.sk_c5 $$unsorted) % 15.85/16.23 (declare-const tptp.sk_c10 $$unsorted) % 15.85/16.23 (declare-const tptp.sk_c8 $$unsorted) % 15.85/16.23 (declare-const tptp.sk_c11 $$unsorted) % 15.85/16.23 (declare-const tptp.sk_c7 $$unsorted) % 15.85/16.23 (declare-const tptp.sk_c4 $$unsorted) % 15.85/16.23 (declare-const tptp.sk_c1 $$unsorted) % 15.85/16.23 (declare-const tptp.sk_c9 $$unsorted) % 15.85/16.23 (declare-const tptp.sk_c2 $$unsorted) % 15.85/16.23 (declare-const tptp.sk_c6 $$unsorted) % 15.85/16.23 (define @t1 () (@var "X" $$unsorted)) % 15.85/16.23 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.85/16.23 (define @t3 () (@list @t1)) % 15.85/16.23 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.85/16.23 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.85/16.23 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.85/16.23 (define @t7 () (@var "Z" $$unsorted)) % 15.85/16.23 (define @t8 () (@var "Y" $$unsorted)) % 15.85/16.23 (define @t9 () (tptp.multiply tptp.sk_c4 tptp.sk_c11)) % 15.85/16.23 (define @t10 () (= @t9 tptp.sk_c10)) % 15.85/16.23 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c11)) % 15.85/16.23 (define @t12 () (= @t11 tptp.sk_c10)) % 15.85/16.23 (define @t13 () (or @t12 @t10)) % 15.85/16.23 (define @t14 () (tptp.inverse tptp.sk_c4)) % 15.85/16.23 (define @t15 () (= @t14 tptp.sk_c11)) % 15.85/16.23 (define @t16 () (or @t12 @t15)) % 15.85/16.23 (define @t17 () (tptp.multiply tptp.sk_c5 tptp.sk_c10)) % 15.85/16.23 (define @t18 () (= @t17 tptp.sk_c9)) % 15.85/16.23 (define @t19 () (or @t12 @t18)) % 15.85/16.23 (define @t20 () (tptp.inverse tptp.sk_c5)) % 15.85/16.23 (define @t21 () (= @t20 tptp.sk_c10)) % 15.85/16.23 (define @t22 () (or @t12 @t21)) % 15.85/16.23 (define @t23 () (tptp.inverse tptp.sk_c6)) % 15.85/16.23 (define @t24 () (= @t23 tptp.sk_c11)) % 15.85/16.23 (define @t25 () (tptp.multiply tptp.sk_c6 tptp.sk_c10)) % 15.85/16.23 (define @t26 () (= @t25 tptp.sk_c11)) % 15.85/16.23 (define @t27 () (tptp.multiply tptp.sk_c7 tptp.sk_c8)) % 15.85/16.23 (define @t28 () (= @t27 tptp.sk_c10)) % 15.85/16.23 (define @t29 () (or @t12 @t28)) % 15.85/16.23 (define @t30 () (tptp.inverse tptp.sk_c7)) % 15.85/16.23 (define @t31 () (= @t30 tptp.sk_c8)) % 15.85/16.23 (define @t32 () (or @t12 @t31)) % 15.85/16.23 (define @t33 () (tptp.multiply tptp.sk_c8 tptp.sk_c9)) % 15.85/16.23 (define @t34 () (= @t33 tptp.sk_c10)) % 15.85/16.23 (define @t35 () (or @t12 @t34)) % 15.85/16.23 (define @t36 () (tptp.inverse tptp.sk_c1)) % 15.85/16.23 (define @t37 () (= @t36 tptp.sk_c11)) % 15.85/16.23 (define @t38 () (or @t37 @t10)) % 15.85/16.23 (define @t39 () (or @t37 @t15)) % 15.85/16.23 (define @t40 () (or @t37 @t18)) % 15.85/16.23 (define @t41 () (or @t37 @t21)) % 15.85/16.23 (define @t42 () (or @t37 @t28)) % 15.85/16.23 (define @t43 () (or @t37 @t31)) % 15.85/16.23 (define @t44 () (or @t37 @t34)) % 15.85/16.23 (define @t45 () (tptp.multiply tptp.sk_c2 tptp.sk_c10)) % 15.85/16.23 (define @t46 () (= @t45 tptp.sk_c9)) % 15.85/16.23 (define @t47 () (or @t46 @t18)) % 15.85/16.23 (define @t48 () (or @t46 @t21)) % 15.85/16.23 (define @t49 () (tptp.inverse tptp.sk_c2)) % 15.85/16.23 (define @t50 () (= @t49 tptp.sk_c10)) % 15.85/16.23 (define @t51 () (or @t50 @t18)) % 15.85/16.23 (define @t52 () (or @t50 @t21)) % 15.85/16.23 (define @t53 () (tptp.inverse tptp.sk_c3)) % 15.85/16.23 (define @t54 () (= @t53 tptp.sk_c11)) % 15.85/16.23 (define @t55 () (or @t54 @t24)) % 15.85/16.23 (define @t56 () (or @t54 @t26)) % 15.85/16.23 (define @t57 () (tptp.multiply tptp.sk_c3 tptp.sk_c10)) % 15.85/16.23 (define @t58 () (= @t57 tptp.sk_c11)) % 15.85/16.23 (define @t59 () (or @t58 @t24)) % 15.85/16.23 (define @t60 () (or @t58 @t26)) % 15.85/16.23 (define @t61 () (@var "X8" $$unsorted)) % 15.85/16.23 (define @t62 () (tptp.multiply @t61 tptp.sk_c9)) % 15.85/16.23 (define @t63 () (not (= @t62 tptp.sk_c10))) % 15.85/16.23 (define @t64 () (@var "X7" $$unsorted)) % 15.85/16.23 (define @t65 () (tptp.inverse @t64)) % 15.85/16.23 (define @t66 () (not (= @t65 @t61))) % 15.85/16.23 (define @t67 () (tptp.multiply @t64 @t61)) % 15.85/16.23 (define @t68 () (not (= @t67 tptp.sk_c10))) % 15.85/16.23 (define @t69 () (@var "X3" $$unsorted)) % 15.85/16.23 (define @t70 () (tptp.multiply @t69 tptp.sk_c10)) % 15.85/16.23 (define @t71 () (not (= @t70 tptp.sk_c11))) % 15.85/16.23 (define @t72 () (tptp.inverse @t69)) % 15.85/16.23 (define @t73 () (not (= @t72 tptp.sk_c11))) % 15.85/16.23 (define @t74 () (@var "X2" $$unsorted)) % 15.85/16.23 (define @t75 () (tptp.inverse @t74)) % 15.85/16.23 (define @t76 () (not (= @t75 tptp.sk_c10))) % 15.85/16.23 (define @t77 () (tptp.multiply @t74 tptp.sk_c10)) % 15.85/16.23 (define @t78 () (not (= @t77 tptp.sk_c9))) % 15.85/16.23 (define @t79 () (@var "X1" $$unsorted)) % 15.85/16.23 (define @t80 () (tptp.inverse @t79)) % 15.85/16.23 (define @t81 () (not (= @t80 tptp.sk_c11))) % 15.85/16.23 (define @t82 () (tptp.multiply @t79 tptp.sk_c11)) % 15.85/16.23 (define @t83 () (not (= @t82 tptp.sk_c10))) % 15.85/16.23 (define @t84 () (@var "X6" $$unsorted)) % 15.85/16.23 (define @t85 () (tptp.multiply @t84 tptp.sk_c10)) % 15.85/16.23 (define @t86 () (not (= @t85 tptp.sk_c11))) % 15.85/16.23 (define @t87 () (tptp.inverse @t84)) % 15.85/16.23 (define @t88 () (not (= @t87 tptp.sk_c11))) % 15.85/16.23 (define @t89 () (@var "X5" $$unsorted)) % 15.85/16.23 (define @t90 () (tptp.inverse @t89)) % 15.85/16.23 (define @t91 () (not (= @t90 tptp.sk_c10))) % 15.85/16.23 (define @t92 () (tptp.multiply @t89 tptp.sk_c10)) % 15.85/16.23 (define @t93 () (not (= @t92 tptp.sk_c9))) % 15.85/16.23 (define @t94 () (@var "X4" $$unsorted)) % 15.85/16.23 (define @t95 () (tptp.inverse @t94)) % 15.85/16.23 (define @t96 () (not (= @t95 tptp.sk_c11))) % 15.85/16.23 (define @t97 () (tptp.multiply @t94 tptp.sk_c11)) % 15.85/16.23 (define @t98 () (not (= @t97 tptp.sk_c10))) % 15.85/16.23 (define @t99 () (or @t98 @t96 @t93 @t91 @t88 @t86 @t83 @t81 @t78 @t76 @t73 @t71 @t68 @t66 @t63)) % 15.85/16.23 (define @t100 () (@list @t94 @t89 @t84 @t79 @t74 @t69 @t64 @t61)) % 15.85/16.23 (define @t101 () (forall @t100 @t99)) % 15.85/16.23 (define @t102 () (= tptp.sk_c11 @t36)) % 15.85/16.23 (define @t103 () (= tptp.sk_c10 @t9)) % 15.85/16.23 (define @t104 () (= tptp.sk_c11 @t14)) % 15.85/16.23 (define @t105 () (= tptp.sk_c9 @t17)) % 15.85/16.23 (define @t106 () (= tptp.sk_c10 @t20)) % 15.85/16.23 (define @t107 () (= tptp.sk_c10 @t27)) % 15.85/16.23 (define @t108 () (= tptp.sk_c8 @t30)) % 15.85/16.23 (define @t109 () (= tptp.sk_c10 @t33)) % 15.85/16.23 (define @t110 () (not @t106)) % 15.85/16.23 (define @t111 () (not @t105)) % 15.85/16.23 (define @t112 () (or @t111 @t110)) % 15.85/16.23 (define @t113 () (not @t112)) % 15.85/16.23 (define @t114 () (not (= tptp.sk_c10 @t90))) % 15.85/16.23 (define @t115 () (not (= tptp.sk_c9 @t92))) % 15.85/16.23 (define @t116 () (or @t115 @t114)) % 15.85/16.23 (define @t117 () (forall (@list @t89) @t116)) % 15.85/16.23 (define @t118 () (@list tptp.sk_c5)) % 15.85/16.23 (define @t119 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 @t30))) % 15.85/16.23 (define @t120 () (and @t107 @t108)) % 15.85/16.23 (define @t121 () (= tptp.sk_c10 (tptp.multiply @t30 tptp.sk_c9))) % 15.85/16.23 (define @t122 () (and @t108 @t109)) % 15.85/16.23 (define @t123 () (not @t121)) % 15.85/16.23 (define @t124 () (not @t119)) % 15.85/16.23 (define @t125 () (or @t124 @t123)) % 15.85/16.23 (define @t126 () (not @t125)) % 15.85/16.23 (define @t127 () (not (= tptp.sk_c10 (tptp.multiply @t65 tptp.sk_c9)))) % 15.85/16.23 (define @t128 () (not (= tptp.sk_c10 (tptp.multiply @t64 @t65)))) % 15.85/16.23 (define @t129 () (or @t128 @t127)) % 15.85/16.23 (define @t130 () (@list @t64)) % 15.85/16.23 (define @t131 () (forall @t130 @t129)) % 15.85/16.23 (define @t132 () (not (= tptp.sk_c11 @t85))) % 15.85/16.23 (define @t133 () (not (= tptp.sk_c11 @t87))) % 15.85/16.23 (define @t134 () (or @t133 @t132)) % 15.85/16.23 (define @t135 () (forall (@list @t84) @t134)) % 15.85/16.23 (define @t136 () (= tptp.sk_c11 @t57)) % 15.85/16.23 (define @t137 () (not @t136)) % 15.85/16.23 (define @t138 () (= tptp.sk_c11 @t53)) % 15.85/16.23 (define @t139 () (not @t138)) % 15.85/16.23 (define @t140 () (or @t139 @t137)) % 15.85/16.23 (define @t141 () (= tptp.sk_c11 @t25)) % 15.85/16.23 (define @t142 () (not @t141)) % 15.85/16.23 (define @t143 () (= tptp.sk_c11 @t23)) % 15.85/16.23 (define @t144 () (not @t143)) % 15.85/16.23 (define @t145 () (or @t144 @t142)) % 15.85/16.23 (define @t146 () (not @t145)) % 15.85/16.23 (define @t147 () (@list false false)) % 15.85/16.23 (define @t148 () (not @t135)) % 15.85/16.23 (define @t149 () (not (= tptp.sk_c11 @t95))) % 15.85/16.23 (define @t150 () (not (= tptp.sk_c10 @t97))) % 15.85/16.23 (define @t151 () (or @t150 @t149)) % 15.85/16.23 (define @t152 () (forall (@list @t94) @t151)) % 15.85/16.23 (define @t153 () (not (= @t65 @t65))) % 15.85/16.23 (define @t154 () (or @t128 @t153 @t127)) % 15.85/16.23 (define @t155 () (not (= tptp.sk_c10 @t62))) % 15.85/16.23 (define @t156 () (not (= @t61 @t65))) % 15.85/16.23 (define @t157 () (not (= tptp.sk_c10 @t67))) % 15.85/16.23 (define @t158 () (or @t156 @t157 @t156 @t155)) % 15.85/16.23 (define @t159 () (@list @t61)) % 15.85/16.23 (define @t160 () (or @t157 @t156 @t155)) % 15.85/16.23 (define @t161 () (forall @t159 @t160)) % 15.85/16.23 (define @t162 () (forall @t130 @t161)) % 15.85/16.23 (define @t163 () (forall (@list @t64 @t61) @t160)) % 15.85/16.23 (define @t164 () (not (= tptp.sk_c11 @t70))) % 15.85/16.23 (define @t165 () (not (= tptp.sk_c11 @t72))) % 15.85/16.23 (define @t166 () (or @t165 @t164)) % 15.85/16.23 (define @t167 () (forall (@list @t69) @t166)) % 15.85/16.23 (define @t168 () (not (= tptp.sk_c10 @t75))) % 15.85/16.23 (define @t169 () (not (= tptp.sk_c9 @t77))) % 15.85/16.23 (define @t170 () (or @t169 @t168)) % 15.85/16.23 (define @t171 () (forall (@list @t74) @t170)) % 15.85/16.23 (define @t172 () (not (= tptp.sk_c11 @t80))) % 15.85/16.23 (define @t173 () (not (= tptp.sk_c10 @t82))) % 15.85/16.23 (define @t174 () (or @t173 @t172)) % 15.85/16.23 (define @t175 () (forall (@list @t79) @t174)) % 15.85/16.23 (define @t176 () (or @t152 @t117 @t135 @t175 @t171 @t167 @t163)) % 15.85/16.23 (define @t177 () (or @t151 @t116 @t134 @t174 @t170 @t166 @t160)) % 15.85/16.23 (define @t178 () (or @t150 @t149 @t115 @t114 @t133 @t132 @t173 @t172 @t169 @t168 @t165 @t164 @t157 @t156 @t155)) % 15.85/16.23 (define @t179 () (@list true true true)) % 15.85/16.23 (define @t180 () (not @t104)) % 15.85/16.23 (define @t181 () (not @t103)) % 15.85/16.23 (define @t182 () (or @t181 @t180)) % 15.85/16.23 (define @t183 () (not @t182)) % 15.85/16.23 (define @t184 () (not @t102)) % 15.85/16.23 (define @t185 () (= tptp.sk_c10 @t11)) % 15.85/16.23 (define @t186 () (not @t185)) % 15.85/16.23 (define @t187 () (or @t186 @t184)) % 15.85/16.23 (define @t188 () (@list tptp.sk_c1)) % 15.85/16.23 (define @t189 () (= tptp.sk_c10 @t49)) % 15.85/16.23 (define @t190 () (@list tptp.identity)) % 15.85/16.23 (define @t191 () (tptp.inverse tptp.identity)) % 15.85/16.23 (define @t192 () (@list @t191)) % 15.85/16.23 (define @t193 () (@list tptp.sk_c11)) % 15.85/16.23 (define @t194 () (@quantifiers_skolemize @t135 0)) % 15.85/16.23 (define @t195 () (@list @t194)) % 15.85/16.23 (define @t196 () (tptp.inverse @t191)) % 15.85/16.23 (define @t197 () (tptp.inverse @t20)) % 15.85/16.23 (define @t198 () (tptp.inverse tptp.sk_c11)) % 15.85/16.23 (define @t199 () (tptp.inverse @t194)) % 15.85/16.23 (define @t200 () (= tptp.sk_c11 @t199)) % 15.85/16.23 (define @t201 () (not @t200)) % 15.85/16.23 (define @t202 () (or @t201 (not (= tptp.sk_c11 (tptp.multiply @t194 tptp.sk_c10))))) % 15.85/16.23 (define @t203 () (not @t202)) % 15.85/16.23 (define @t204 () (@list true)) % 15.85/16.23 (define @t205 () (tptp.multiply tptp.identity tptp.identity)) % 15.85/16.23 (define @t206 () (= tptp.identity @t205)) % 15.85/16.23 (define @t207 () (tptp.multiply @t191 tptp.identity)) % 15.85/16.23 (define @t208 () (= tptp.identity @t207)) % 15.85/16.23 (define @t209 () (tptp.multiply tptp.identity @t191)) % 15.85/16.23 (define @t210 () (= @t191 @t209)) % 15.85/16.23 (define @t211 () (tptp.multiply tptp.identity tptp.sk_c1)) % 15.85/16.23 (define @t212 () (= tptp.sk_c1 @t211)) % 15.85/16.23 (define @t213 () (tptp.multiply @t36 tptp.sk_c1)) % 15.85/16.23 (define @t214 () (= tptp.identity @t213)) % 15.85/16.23 (define @t215 () (tptp.multiply tptp.identity tptp.sk_c11)) % 15.85/16.23 (define @t216 () (= tptp.sk_c11 @t215)) % 15.85/16.23 (define @t217 () (tptp.multiply @t198 tptp.sk_c11)) % 15.85/16.23 (define @t218 () (= tptp.identity @t217)) % 15.85/16.23 (define @t219 () (tptp.multiply tptp.identity @t194)) % 15.85/16.23 (define @t220 () (= @t194 @t219)) % 15.85/16.23 (define @t221 () (= tptp.identity (tptp.multiply @t199 @t194))) % 15.85/16.23 (define @t222 () (tptp.multiply @t196 @t191)) % 15.85/16.23 (define @t223 () (= tptp.identity @t222)) % 15.85/16.23 (define @t224 () (tptp.multiply @t191 @t191)) % 15.85/16.23 (define @t225 () (tptp.multiply @t209 @t191)) % 15.85/16.23 (define @t226 () (= @t225 (tptp.multiply tptp.identity @t224))) % 15.85/16.23 (define @t227 () (tptp.multiply @t207 @t191)) % 15.85/16.23 (define @t228 () (= @t227 (tptp.multiply @t191 @t209))) % 15.85/16.23 (define @t229 () (tptp.multiply @t222 @t191)) % 15.85/16.23 (define @t230 () (= @t229 (tptp.multiply @t196 @t224))) % 15.85/16.23 (define @t231 () (tptp.multiply tptp.identity @t197)) % 15.85/16.23 (define @t232 () (= @t197 @t231)) % 15.85/16.23 (define @t233 () (tptp.multiply @t217 tptp.sk_c1)) % 15.85/16.23 (define @t234 () (= @t233 (tptp.multiply @t198 (tptp.multiply tptp.sk_c11 tptp.sk_c1)))) % 15.85/16.23 (define @t235 () (tptp.multiply tptp.sk_c11 @t194)) % 15.85/16.23 (define @t236 () (tptp.multiply @t198 @t235)) % 15.85/16.23 (define @t237 () (= (tptp.multiply @t217 @t194) @t236)) % 15.85/16.23 (define @t238 () (tptp.multiply @t198 tptp.identity)) % 15.85/16.23 (define @t239 () (tptp.multiply @t238 tptp.sk_c11)) % 15.85/16.23 (define @t240 () (= @t239 (tptp.multiply @t198 @t215))) % 15.85/16.23 (define @t241 () (tptp.multiply @t205 tptp.sk_c1)) % 15.85/16.23 (define @t242 () (tptp.multiply tptp.identity @t211)) % 15.85/16.23 (define @t243 () (tptp.multiply tptp.identity @t219)) % 15.85/16.23 (define @t244 () (tptp.multiply @t205 @t194)) % 15.85/16.23 (define @t245 () (= tptp.sk_c10 (tptp.multiply @t20 @t197))) % 15.85/16.23 (define @t246 () (and @t185 @t106 @t102 @t200 @t206 @t208 @t210 @t212 @t214 @t216 @t218 @t220 @t221 @t223 @t226 @t228 @t230 @t232 @t234 @t237 @t240)) % 15.85/16.23 (define @t247 () (not @t240)) % 15.85/16.23 (define @t248 () (not @t237)) % 15.85/16.23 (define @t249 () (not @t234)) % 15.85/16.23 (define @t250 () (not @t230)) % 15.85/16.23 (define @t251 () (not @t228)) % 15.85/16.23 (define @t252 () (not @t226)) % 15.85/16.23 (define @t253 () (not @t223)) % 15.85/16.23 (define @t254 () (not @t221)) % 15.85/16.23 (define @t255 () (not @t220)) % 15.85/16.23 (define @t256 () (not @t218)) % 15.85/16.23 (define @t257 () (not @t216)) % 15.85/16.23 (define @t258 () (not @t214)) % 15.85/16.23 (define @t259 () (not @t212)) % 15.85/16.23 (define @t260 () (not @t210)) % 15.85/16.23 (define @t261 () (not @t208)) % 15.85/16.23 (define @t262 () (not @t206)) % 15.85/16.23 (define @t263 () (tptp.multiply tptp.identity tptp.sk_c5)) % 15.85/16.23 (define @t264 () (= tptp.sk_c5 @t263)) % 15.85/16.23 (define @t265 () (tptp.multiply @t20 tptp.sk_c5)) % 15.85/16.23 (define @t266 () (= tptp.identity @t265)) % 15.85/16.23 (define @t267 () (tptp.multiply tptp.identity tptp.sk_c9)) % 15.85/16.23 (define @t268 () (= tptp.sk_c9 @t267)) % 15.85/16.23 (define @t269 () (tptp.multiply tptp.identity @t267)) % 15.85/16.23 (define @t270 () (tptp.multiply @t205 tptp.sk_c9)) % 15.85/16.23 (define @t271 () (= tptp.sk_c10 (tptp.multiply @t197 tptp.sk_c9))) % 15.85/16.23 (define @t272 () (and @t185 @t105 @t106 @t102 @t200 @t206 @t208 @t210 @t212 @t214 @t216 @t218 @t264 @t266 @t268 @t220 @t221 @t223 @t226 @t228 @t230 @t234 @t237 @t240)) % 15.85/16.23 (define @t273 () (not @t268)) % 15.85/16.23 (define @t274 () (not @t271)) % 15.85/16.23 (define @t275 () (not @t245)) % 15.85/16.23 (define @t276 () (or @t275 @t274)) % 15.85/16.23 (define @t277 () (not @t189)) % 15.85/16.23 (define @t278 () (= tptp.sk_c9 @t45)) % 15.85/16.23 (define @t279 () (not @t278)) % 15.85/16.23 (define @t280 () (or @t279 @t277)) % 15.85/16.23 (define @t281 () (@list tptp.sk_c2)) % 15.85/16.23 (define @t282 () (tptp.multiply tptp.identity tptp.sk_c2)) % 15.85/16.23 (define @t283 () (= tptp.sk_c2 @t282)) % 15.85/16.23 (define @t284 () (tptp.multiply @t49 tptp.sk_c2)) % 15.85/16.23 (define @t285 () (= tptp.identity @t284)) % 15.85/16.23 (define @t286 () (tptp.multiply @t205 tptp.sk_c2)) % 15.85/16.23 (define @t287 () (tptp.multiply tptp.identity @t282)) % 15.85/16.23 (define @t288 () (tptp.multiply tptp.sk_c2 @t49)) % 15.85/16.23 (define @t289 () (= tptp.sk_c10 @t288)) % 15.85/16.23 (define @t290 () (and @t185 @t102 @t189 @t206 @t212 @t214 @t216 @t218 @t283 @t285 @t234 @t240)) % 15.85/16.23 (define @t291 () (not @t285)) % 15.85/16.23 (define @t292 () (not @t283)) % 15.85/16.23 (define @t293 () (= tptp.sk_c10 (tptp.multiply @t49 tptp.sk_c9))) % 15.85/16.23 (define @t294 () (and @t185 @t102 @t278 @t189 @t206 @t212 @t214 @t216 @t218 @t268 @t283 @t285 @t234 @t240)) % 15.85/16.23 (define @t295 () (not @t293)) % 15.85/16.23 (define @t296 () (not @t289)) % 15.85/16.23 (define @t297 () (or @t296 @t295)) % 15.85/16.23 (define @t298 () (@list @t185)) % 15.85/16.23 (assume @p1 @t4) % 15.85/16.23 (assume @p2 @t6) % 15.85/16.23 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.85/16.23 (assume @p4 @t13) % 15.85/16.23 (assume @p5 @t16) % 15.85/16.23 (assume @p6 @t19) % 15.85/16.23 (assume @p7 @t22) % 15.85/16.23 (assume @p8 (or @t12 @t24)) % 15.85/16.23 (assume @p9 (or @t12 @t26)) % 15.85/16.23 (assume @p10 @t29) % 15.85/16.23 (assume @p11 @t32) % 15.85/16.23 (assume @p12 @t35) % 15.85/16.23 (assume @p13 @t38) % 15.85/16.23 (assume @p14 @t39) % 15.85/16.23 (assume @p15 @t40) % 15.85/16.23 (assume @p16 @t41) % 15.85/16.23 (assume @p17 (or @t37 @t24)) % 15.85/16.23 (assume @p18 (or @t37 @t26)) % 15.85/16.23 (assume @p19 @t42) % 15.85/16.23 (assume @p20 @t43) % 15.85/16.23 (assume @p21 @t44) % 15.85/16.23 (assume @p22 (or @t46 @t10)) % 15.85/16.23 (assume @p23 (or @t46 @t15)) % 15.85/16.23 (assume @p24 @t47) % 15.85/16.23 (assume @p25 @t48) % 15.85/16.23 (assume @p26 (or @t46 @t24)) % 15.85/16.23 (assume @p27 (or @t46 @t26)) % 15.85/16.23 (assume @p28 (or @t46 @t28)) % 15.85/16.23 (assume @p29 (or @t46 @t31)) % 15.85/16.23 (assume @p30 (or @t46 @t34)) % 15.85/16.23 (assume @p31 (or @t50 @t10)) % 15.85/16.23 (assume @p32 (or @t50 @t15)) % 15.85/16.23 (assume @p33 @t51) % 15.85/16.23 (assume @p34 @t52) % 15.85/16.23 (assume @p35 (or @t50 @t24)) % 15.85/16.23 (assume @p36 (or @t50 @t26)) % 15.85/16.23 (assume @p37 (or @t50 @t28)) % 15.85/16.23 (assume @p38 (or @t50 @t31)) % 15.85/16.23 (assume @p39 (or @t50 @t34)) % 15.85/16.23 (assume @p40 (or @t54 @t10)) % 15.85/16.23 (assume @p41 (or @t54 @t15)) % 15.85/16.23 (assume @p42 (or @t54 @t18)) % 15.85/16.23 (assume @p43 (or @t54 @t21)) % 15.85/16.23 (assume @p44 @t55) % 15.85/16.23 (assume @p45 @t56) % 15.85/16.23 (assume @p46 (or @t54 @t28)) % 15.85/16.23 (assume @p47 (or @t54 @t31)) % 15.85/16.23 (assume @p48 (or @t54 @t34)) % 15.85/16.23 (assume @p49 (or @t58 @t10)) % 15.85/16.23 (assume @p50 (or @t58 @t15)) % 15.85/16.23 (assume @p51 (or @t58 @t18)) % 15.85/16.23 (assume @p52 (or @t58 @t21)) % 15.85/16.23 (assume @p53 @t59) % 15.85/16.23 (assume @p54 @t60) % 15.85/16.23 (assume @p55 (or @t58 @t28)) % 15.85/16.23 (assume @p56 (or @t58 @t31)) % 15.85/16.23 (assume @p57 (or @t58 @t34)) % 15.85/16.23 (assume @p58 @t101) % 15.85/16.23 (step @p59 :rule eq-symm :args (@t9 tptp.sk_c10)) % 15.85/16.23 (step @p60 :rule eq-symm :args (@t36 tptp.sk_c11)) % 15.85/16.23 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t38)) % 15.85/16.23 (step @p62 :rule eq_resolve :premises (@p13 @p61)) % 15.85/16.23 (step @p63 :rule reordering :premises (@p62) :args ((or @t103 @t102))) % 15.85/16.23 (step @p64 :rule eq-symm :args (@t14 tptp.sk_c11)) % 15.85/16.23 (step @p65 :rule nary_cong :premises (@p60 @p64) :args (@t39)) % 15.85/16.23 (step @p66 :rule eq_resolve :premises (@p14 @p65)) % 15.85/16.23 (step @p67 :rule reordering :premises (@p66) :args ((or @t104 @t102))) % 15.85/16.23 (step @p68 :rule eq-symm :args (@t17 tptp.sk_c9)) % 15.85/16.23 (step @p69 :rule nary_cong :premises (@p60 @p68) :args (@t40)) % 15.85/16.23 (step @p70 :rule eq_resolve :premises (@p15 @p69)) % 15.85/16.23 (step @p71 :rule reordering :premises (@p70) :args ((or @t105 @t102))) % 15.85/16.23 (step @p72 :rule eq-symm :args (@t20 tptp.sk_c10)) % 15.85/16.23 (step @p73 :rule nary_cong :premises (@p60 @p72) :args (@t41)) % 15.85/16.23 (step @p74 :rule eq_resolve :premises (@p16 @p73)) % 15.85/16.23 (step @p75 :rule reordering :premises (@p74) :args ((or @t106 @t102))) % 15.85/16.23 (step @p76 :rule eq-symm :args (@t27 tptp.sk_c10)) % 15.85/16.23 (step @p77 :rule nary_cong :premises (@p60 @p76) :args (@t42)) % 15.85/16.23 (step @p78 :rule eq_resolve :premises (@p19 @p77)) % 15.85/16.23 (step @p79 :rule reordering :premises (@p78) :args ((or @t107 @t102))) % 15.85/16.23 (step @p80 :rule eq-symm :args (@t30 tptp.sk_c8)) % 15.85/16.23 (step @p81 :rule nary_cong :premises (@p60 @p80) :args (@t43)) % 15.85/16.23 (step @p82 :rule eq_resolve :premises (@p20 @p81)) % 15.85/16.23 (step @p83 :rule reordering :premises (@p82) :args ((or @t108 @t102))) % 15.85/16.23 (step @p84 :rule eq-symm :args (@t33 tptp.sk_c10)) % 15.85/16.23 (step @p85 :rule nary_cong :premises (@p60 @p84) :args (@t44)) % 15.85/16.23 (step @p86 :rule eq_resolve :premises (@p21 @p85)) % 15.85/16.23 (step @p87 :rule reordering :premises (@p86) :args ((or @t109 @t102))) % 15.85/16.23 (step @p88 :rule cnf_or_pos :args (@t112)) % 15.85/16.23 (step @p89 :rule reordering :premises (@p88) :args ((or @t111 @t110 @t113))) % 15.85/16.23 (assume-push @p815 @t117) % 15.85/16.23 (step @p91 :rule instantiate :premises (@p815) :args (@t118)) % 15.85/16.23 (step-pop @p816 :rule scope :premises (@p91)) % 15.85/16.23 (step @p92 :rule process_scope :premises (@p816) :args (@t112)) % 15.85/16.23 (step @p94 :rule implies_elim :premises (@p92)) % 15.85/16.23 (assume-push @p817 @t107) % 15.85/16.23 (assume-push @p818 @t108) % 15.85/16.23 (assume-push @p819 @t108) % 15.85/16.23 (assume-push @p820 @t107) % 15.85/16.23 (step @p99 :rule refl :args (tptp.sk_c7)) % 15.85/16.23 (step @p100 :rule cong :premises (@p99 @p818) :args (@t27)) % 15.85/16.23 (step @p101 :rule trans :premises (@p817 @p100)) % 15.85/16.23 (step-pop @p821 :rule scope :premises (@p101)) % 15.85/16.23 (step-pop @p822 :rule scope :premises (@p821)) % 15.85/16.23 (step @p102 :rule process_scope :premises (@p822) :args (@t119)) % 15.85/16.23 (step @p105 :rule and_intro :premises (@p818 @p817)) % 15.85/16.23 (step @p106 :rule modus_ponens :premises (@p105 @p102)) % 15.85/16.23 (step-pop @p823 :rule scope :premises (@p106)) % 15.85/16.23 (step-pop @p824 :rule scope :premises (@p823)) % 15.85/16.23 (step @p107 :rule process_scope :premises (@p824) :args (@t119)) % 15.85/16.23 (step @p110 :rule implies_elim :premises (@p107)) % 15.85/16.23 (step @p111 :rule cnf_and_neg :args (@t120)) % 15.85/16.23 (step @p112 :rule resolution :premises (@p111 @p110) :args (true @t120)) % 15.85/16.23 (assume-push @p825 @t108) % 15.85/16.23 (assume-push @p826 @t109) % 15.85/16.23 (assume-push @p827 @t108) % 15.85/16.23 (assume-push @p828 @t109) % 15.85/16.23 (step @p117 :rule refl :args (tptp.sk_c9)) % 15.85/16.23 (step @p118 :rule cong :premises (@p825 @p117) :args (@t33)) % 15.85/16.23 (step @p119 :rule trans :premises (@p826 @p118)) % 15.85/16.23 (step-pop @p829 :rule scope :premises (@p119)) % 15.85/16.23 (step-pop @p830 :rule scope :premises (@p829)) % 15.85/16.23 (step @p120 :rule process_scope :premises (@p830) :args (@t121)) % 15.85/16.23 (step @p123 :rule and_intro :premises (@p825 @p826)) % 15.85/16.23 (step @p124 :rule modus_ponens :premises (@p123 @p120)) % 15.85/16.23 (step-pop @p831 :rule scope :premises (@p124)) % 15.85/16.23 (step-pop @p832 :rule scope :premises (@p831)) % 15.85/16.23 (step @p125 :rule process_scope :premises (@p832) :args (@t121)) % 15.85/16.23 (step @p128 :rule implies_elim :premises (@p125)) % 15.85/16.23 (step @p129 :rule cnf_and_neg :args (@t122)) % 15.85/16.23 (step @p130 :rule resolution :premises (@p129 @p128) :args (true @t122)) % 15.85/16.23 (step @p131 :rule cnf_or_pos :args (@t125)) % 15.85/16.23 (step @p132 :rule reordering :premises (@p131) :args ((or @t124 @t123 @t126))) % 15.85/16.23 (assume-push @p833 @t131) % 15.85/16.23 (step @p134 :rule instantiate :premises (@p833) :args ((@list tptp.sk_c7))) % 15.85/16.23 (step-pop @p834 :rule scope :premises (@p134)) % 15.85/16.23 (step @p135 :rule process_scope :premises (@p834) :args (@t125)) % 15.85/16.23 (step @p137 :rule implies_elim :premises (@p135)) % 15.85/16.23 (assume-push @p835 @t135) % 15.85/16.23 (step @p139 :rule instantiate :premises (@p835) :args ((@list tptp.sk_c3))) % 15.85/16.23 (step-pop @p836 :rule scope :premises (@p139)) % 15.85/16.23 (step @p140 :rule process_scope :premises (@p836) :args (@t140)) % 15.85/16.23 (step @p142 :rule implies_elim :premises (@p140)) % 15.85/16.23 (assume-push @p837 @t135) % 15.85/16.23 (step @p144 :rule instantiate :premises (@p837) :args ((@list tptp.sk_c6))) % 15.85/16.23 (step-pop @p838 :rule scope :premises (@p144)) % 15.85/16.23 (step @p145 :rule process_scope :premises (@p838) :args (@t145)) % 15.85/16.23 (step @p147 :rule implies_elim :premises (@p145)) % 15.85/16.23 (step @p148 :rule eq-symm :args (@t23 tptp.sk_c11)) % 15.85/16.23 (step @p149 :rule eq-symm :args (@t57 tptp.sk_c11)) % 15.85/16.23 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t59)) % 15.85/16.23 (step @p151 :rule eq_resolve :premises (@p53 @p150)) % 15.85/16.23 (step @p152 :rule reordering :premises (@p151) :args ((or @t143 @t136))) % 15.85/16.23 (step @p153 :rule eq-symm :args (@t25 tptp.sk_c11)) % 15.85/16.23 (step @p154 :rule nary_cong :premises (@p149 @p153) :args (@t60)) % 15.85/16.23 (step @p155 :rule eq_resolve :premises (@p54 @p154)) % 15.85/16.23 (step @p156 :rule reordering :premises (@p155) :args ((or @t141 @t136))) % 15.85/16.23 (step @p157 :rule cnf_or_pos :args (@t145)) % 15.85/16.23 (step @p158 :rule reordering :premises (@p157) :args ((or @t144 @t142 @t146))) % 15.85/16.23 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p152) :args ((or @t136 @t146) @t147 (@list @t141 @t143))) % 15.85/16.23 (step @p160 :rule cnf_or_pos :args (@t140)) % 15.85/16.23 (step @p161 :rule reordering :premises (@p160) :args ((or @t139 @t137 (not @t140)))) % 15.85/16.23 (step @p162 :rule eq-symm :args (@t53 tptp.sk_c11)) % 15.85/16.23 (step @p163 :rule nary_cong :premises (@p162 @p148) :args (@t55)) % 15.85/16.23 (step @p164 :rule eq_resolve :premises (@p44 @p163)) % 15.85/16.23 (step @p165 :rule reordering :premises (@p164) :args ((or @t143 @t138))) % 15.85/16.23 (step @p166 :rule nary_cong :premises (@p162 @p153) :args (@t56)) % 15.85/16.23 (step @p167 :rule eq_resolve :premises (@p45 @p166)) % 15.85/16.23 (step @p168 :rule reordering :premises (@p167) :args ((or @t141 @t138))) % 15.85/16.23 (step @p169 :rule chain_m_resolution :premises (@p158 @p168 @p165 @p161 @p159 @p147 @p142) :args (@t148 (@list false false true false false false) (@list @t141 @t143 @t138 @t136 @t145 @t140))) % 15.85/16.23 (step @p170 :rule alpha_equiv :args (@t152 (@list @t94) (@list @t79))) % 15.85/16.23 (step @p171 :rule equiv_elim2 :premises (@p170)) % 15.85/16.23 (step @p172 :rule alpha_equiv :args (@t117 (@list @t89) (@list @t74))) % 15.85/16.23 (step @p173 :rule equiv_elim2 :premises (@p172)) % 15.85/16.23 (step @p174 :rule alpha_equiv :args (@t135 (@list @t84) (@list @t69))) % 15.85/16.23 (step @p175 :rule equiv_elim2 :premises (@p174)) % 15.85/16.23 (step @p176 :rule aci_norm :args ((= (or @t128 false @t127) @t129))) % 15.85/16.23 (step @p177 :rule refl :args (@t127)) % 15.85/16.23 (step @p178 :rule evaluate :args ((not true))) % 15.85/16.23 (step @p179 :rule eq-refl :args (@t65)) % 15.85/16.23 (step @p180 :rule cong :premises (@p179) :args (@t153)) % 15.85/16.23 (step @p181 :rule trans :premises (@p180 @p178)) % 15.85/16.23 (step @p182 :rule refl :args (@t128)) % 15.85/16.23 (step @p183 :rule nary_cong :premises (@p182 @p181 @p177) :args (@t154)) % 15.85/16.23 (step @p184 :rule trans :premises (@p183 @p176)) % 15.85/16.23 (step @p185 :rule cong :premises (@p184) :args ((forall @t130 @t154))) % 15.85/16.23 (step @p186 :rule quant-var-elim-eq :args ((= (forall @t159 @t158) @t154))) % 15.85/16.23 (step @p187 :rule aci_norm :args ((= @t160 @t158))) % 15.85/16.23 (step @p188 :rule cong :premises (@p187) :args (@t161)) % 15.85/16.23 (step @p189 :rule trans :premises (@p188 @p186)) % 15.85/16.23 (step @p190 :rule cong :premises (@p189) :args (@t162)) % 15.85/16.23 (step @p191 :rule quant-merge-prenex :args ((= @t162 @t163))) % 15.85/16.23 (step @p192 :rule symm :premises (@p191)) % 15.85/16.23 (step @p193 :rule trans :premises (@p192 @p190)) % 15.85/16.23 (step @p194 :rule trans :premises (@p193 @p185)) % 15.85/16.23 (step @p195 :rule refl :args (@t167)) % 15.85/16.23 (step @p196 :rule refl :args (@t171)) % 15.85/16.23 (step @p197 :rule refl :args (@t175)) % 15.85/16.23 (step @p198 :rule refl :args (@t135)) % 15.85/16.23 (step @p199 :rule refl :args (@t117)) % 15.85/16.23 (step @p200 :rule refl :args (@t152)) % 15.85/16.23 (step @p201 :rule nary_cong :premises (@p200 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15.85/16.23 (assume-push @p1033 @t216) % 15.85/16.23 (assume-push @p1034 @t218) % 15.85/16.23 (assume-push @p1035 @t283) % 15.85/16.23 (assume-push @p1036 @t285) % 15.85/16.23 (assume-push @p1037 @t234) % 15.85/16.23 (assume-push @p1038 @t240) % 15.85/16.23 (assume-push @p1039 @t283) % 15.85/16.23 (assume-push @p1040 @t206) % 15.85/16.23 (assume-push @p1041 @t218) % 15.85/16.23 (assume-push @p1042 @t216) % 15.85/16.23 (assume-push @p1043 @t240) % 15.85/16.23 (assume-push @p1044 @t214) % 15.85/16.23 (assume-push @p1045 @t102) % 15.85/16.23 (assume-push @p1046 @t234) % 15.85/16.23 (assume-push @p1047 @t212) % 15.85/16.23 (assume-push @p1048 @t185) % 15.85/16.23 (assume-push @p1049 @t189) % 15.85/16.23 (assume-push @p1050 @t285) % 15.85/16.23 (step @p630 :rule symm :premises (@p1027)) % 15.85/16.23 (step @p348 :rule refl :args (tptp.sk_c11)) % 15.85/16.23 (step @p349 :rule symm :premises (@p273)) % 15.85/16.23 (step @p350 :rule refl :args (tptp.sk_c1)) % 15.85/16.23 (step @p351 :rule symm :premises (@p267)) % 15.85/16.23 (step @p352 :rule cong :premises (@p351 @p350) :args (@t241)) % 15.85/16.23 (step @p353 :rule cong :premises (@p267 @p349) :args (@t242)) % 15.85/16.23 (step @p354 :rule symm :premises (@p276)) % 15.85/16.23 (step @p355 :rule cong :premises (@p354 @p273) :args (@t233)) % 15.85/16.23 (step @p356 :rule symm :premises (@p284)) % 15.85/16.23 (step @p631 :rule symm :premises (@p1028)) % 15.85/16.23 (step @p632 :rule cong :premises (@p631 @p350) :args (@t213)) % 15.85/16.23 (step @p633 :rule trans :premises (@p274 @p632)) % 15.85/16.23 (step @p360 :rule refl :args (@t198)) % 15.85/16.23 (step @p634 :rule cong :premises (@p360 @p633) :args (@t238)) % 15.85/16.23 (step @p635 :rule trans :premises (@p634 @p356 @p355 @p353 @p352 @p349)) % 15.85/16.23 (step @p636 :rule cong :premises (@p635 @p348) :args (@t239)) % 15.85/16.23 (step @p380 :rule symm :premises (@p286)) % 15.85/16.23 (step @p381 :rule cong :premises (@p360 @p275) :args (@t217)) % 15.85/16.23 (step @p637 :rule trans :premises (@p276 @p381 @p380 @p636 @p630 @p1029)) % 15.85/16.23 (step @p638 :rule symm :premises (@p604)) % 15.85/16.23 (step @p639 :rule refl :args (tptp.sk_c2)) % 15.85/16.23 (step @p640 :rule cong :premises (@p351 @p639) :args (@t286)) % 15.85/16.23 (step @p641 :rule cong :premises (@p267 @p638) :args (@t287)) % 15.85/16.23 (step @p642 :rule symm :premises (@p637)) % 15.85/16.23 (step @p643 :rule cong :premises (@p642 @p604) :args (@t284)) % 15.85/16.23 (step @p644 :rule trans :premises (@p605 @p643 @p641 @p640 @p638)) % 15.85/16.23 (step @p645 :rule cong :premises (@p644 @p637) :args (@t205)) % 15.85/16.23 (step @p401 :rule symm :premises (@p381)) % 15.85/16.23 (step @p646 :rule symm :premises (@p636)) % 15.85/16.23 (step @p647 :rule trans :premises (@p1027 @p646 @p286 @p401 @p354 @p267 @p645)) % 15.85/16.23 (step-pop @p1051 :rule scope :premises (@p647)) % 15.85/16.23 (step-pop @p1052 :rule scope :premises (@p1051)) % 15.85/16.23 (step-pop @p1053 :rule scope :premises (@p1052)) % 15.85/16.23 (step-pop @p1054 :rule scope :premises (@p1053)) % 15.85/16.23 (step-pop @p1055 :rule scope :premises (@p1054)) % 15.85/16.23 (step-pop @p1056 :rule scope :premises (@p1055)) % 15.85/16.23 (step-pop @p1057 :rule scope :premises (@p1056)) % 15.85/16.23 (step-pop @p1058 :rule scope :premises (@p1057)) % 15.85/16.23 (step-pop @p1059 :rule scope :premises (@p1058)) % 15.85/16.23 (step-pop @p1060 :rule scope :premises (@p1059)) % 15.85/16.23 (step-pop @p1061 :rule scope :premises (@p1060)) % 15.85/16.23 (step-pop @p1062 :rule scope :premises (@p1061)) % 15.85/16.23 (step @p648 :rule process_scope :premises (@p1062) :args (@t289)) % 15.85/16.23 (step @p661 :rule and_intro :premises (@p604 @p267 @p276 @p275 @p286 @p274 @p1028 @p284 @p273 @p1027 @p1029 @p605)) % 15.85/16.23 (step @p662 :rule modus_ponens :premises (@p661 @p648)) % 15.85/16.23 (step-pop @p1063 :rule scope :premises (@p662)) % 15.85/16.23 (step-pop @p1064 :rule scope :premises (@p1063)) % 15.85/16.23 (step-pop @p1065 :rule scope :premises (@p1064)) % 15.85/16.23 (step-pop @p1066 :rule scope :premises (@p1065)) % 15.85/16.23 (step-pop @p1067 :rule scope :premises (@p1066)) % 15.85/16.23 (step-pop @p1068 :rule scope :premises (@p1067)) % 15.85/16.23 (step-pop @p1069 :rule scope :premises (@p1068)) % 15.85/16.23 (step-pop @p1070 :rule scope :premises (@p1069)) % 15.85/16.23 (step-pop @p1071 :rule scope :premises (@p1070)) % 15.85/16.23 (step-pop @p1072 :rule scope :premises (@p1071)) % 15.85/16.23 (step-pop @p1073 :rule scope :premises (@p1072)) % 15.85/16.23 (step-pop @p1074 :rule scope :premises (@p1073)) % 15.85/16.23 (step @p663 :rule process_scope :premises (@p1074) :args (@t289)) % 15.85/16.23 (step @p676 :rule implies_elim :premises (@p663)) % 15.85/16.23 (step @p677 :rule cnf_and_neg :args (@t290)) % 15.85/16.23 (step @p678 :rule resolution :premises (@p677 @p676) :args (true @t290)) % 15.85/16.23 (step @p679 :rule reordering :premises (@p678) :args ((or @t186 @t184 @t277 @t262 @t259 @t258 @t257 @t256 @t289 @t292 @t291 @t249 @t247))) % 15.85/16.23 (assume-push @p1075 @t185) % 15.85/16.23 (assume-push @p1076 @t102) % 15.85/16.23 (assume-push @p1077 @t278) % 15.85/16.23 (assume-push @p1078 @t189) % 15.85/16.23 (assume-push @p1079 @t206) % 15.85/16.23 (assume-push @p1080 @t212) % 15.85/16.23 (assume-push @p1081 @t214) % 15.85/16.23 (assume-push @p1082 @t216) % 15.85/16.23 (assume-push @p1083 @t218) % 15.85/16.23 (assume-push @p1084 @t268) % 15.85/16.23 (assume-push @p1085 @t283) % 15.85/16.23 (assume-push @p1086 @t285) % 15.85/16.23 (assume-push @p1087 @t234) % 15.85/16.23 (assume-push @p1088 @t240) % 15.85/16.23 (assume-push @p1089 @t189) % 15.85/16.23 (assume-push @p1090 @t185) % 15.85/16.23 (assume-push @p1091 @t212) % 15.85/16.23 (assume-push @p1092 @t206) % 15.85/16.23 (assume-push @p1093 @t218) % 15.85/16.23 (assume-push @p1094 @t234) % 15.85/16.23 (assume-push @p1095 @t102) % 15.85/16.23 (assume-push @p1096 @t214) % 15.85/16.23 (assume-push @p1097 @t240) % 15.85/16.23 (assume-push @p1098 @t216) % 15.85/16.23 (assume-push @p1099 @t268) % 15.85/16.23 (assume-push @p1100 @t278) % 15.85/16.23 (assume-push @p1101 @t283) % 15.85/16.23 (assume-push @p1102 @t285) % 15.85/16.23 (step @p505 :rule symm :premises (@p456)) % 15.85/16.23 (step @p708 :rule symm :premises (@p1075)) % 15.85/16.23 (step @p348 :rule refl :args (tptp.sk_c11)) % 15.85/16.23 (step @p349 :rule symm :premises (@p273)) % 15.85/16.23 (step @p350 :rule refl :args (tptp.sk_c1)) % 15.85/16.23 (step @p351 :rule symm :premises (@p267)) % 15.85/16.23 (step @p352 :rule cong :premises (@p351 @p350) :args (@t241)) % 15.85/16.23 (step @p353 :rule cong :premises (@p267 @p349) :args (@t242)) % 15.85/16.23 (step @p354 :rule symm :premises (@p276)) % 15.85/16.23 (step @p355 :rule cong :premises (@p354 @p273) :args (@t233)) % 15.85/16.23 (step @p356 :rule symm :premises (@p284)) % 15.85/16.23 (step @p709 :rule symm :premises (@p1076)) % 15.85/16.23 (step @p710 :rule cong :premises (@p709 @p350) :args (@t213)) % 15.85/16.23 (step @p711 :rule trans :premises (@p274 @p710)) % 15.85/16.23 (step @p360 :rule refl :args (@t198)) % 15.85/16.23 (step @p712 :rule cong :premises (@p360 @p711) :args (@t238)) % 15.85/16.23 (step @p713 :rule trans :premises (@p712 @p356 @p355 @p353 @p352 @p349)) % 15.85/16.23 (step @p714 :rule cong :premises (@p713 @p348) :args (@t239)) % 15.85/16.23 (step @p380 :rule symm :premises (@p286)) % 15.85/16.23 (step @p381 :rule cong :premises (@p360 @p275) :args (@t217)) % 15.85/16.23 (step @p715 :rule trans :premises (@p276 @p381 @p380 @p714 @p708 @p1078)) % 15.85/16.23 (step @p716 :rule cong :premises (@p715 @p505) :args (@t269)) % 15.85/16.23 (step @p523 :rule cong :premises (@p351 @p456) :args (@t270)) % 15.85/16.23 (step @p117 :rule refl :args (tptp.sk_c9)) % 15.85/16.23 (step @p524 :rule cong :premises (@p267 @p117) :args (@t267)) % 15.85/16.23 (step @p717 :rule symm :premises (@p1077)) % 15.85/16.23 (step @p718 :rule symm :premises (@p1078)) % 15.85/16.23 (step @p639 :rule refl :args (tptp.sk_c2)) % 15.85/16.23 (step @p719 :rule cong :premises (@p639 @p718) :args (@t288)) % 15.85/16.23 (step @p638 :rule symm :premises (@p604)) % 15.85/16.23 (step @p640 :rule cong :premises (@p351 @p639) :args (@t286)) % 15.85/16.23 (step @p641 :rule cong :premises (@p267 @p638) :args (@t287)) % 15.85/16.23 (step @p720 :rule symm :premises (@p715)) % 15.85/16.23 (step @p721 :rule cong :premises (@p720 @p604) :args (@t284)) % 15.85/16.23 (step @p722 :rule trans :premises (@p605 @p721 @p641 @p640 @p638)) % 15.85/16.23 (step @p723 :rule cong :premises (@p722 @p715) :args (@t205)) % 15.85/16.23 (step @p401 :rule symm :premises (@p381)) % 15.85/16.23 (step @p724 :rule symm :premises (@p714)) % 15.85/16.23 (step @p725 :rule trans :premises (@p1075 @p724 @p286 @p401 @p354 @p267 @p723 @p719 @p717 @p456 @p524 @p523 @p716)) % 15.85/16.23 (step-pop @p1103 :rule scope :premises (@p725)) % 15.85/16.23 (step-pop @p1104 :rule scope :premises (@p1103)) % 15.85/16.23 (step-pop @p1105 :rule scope :premises (@p1104)) % 15.85/16.23 (step-pop @p1106 :rule scope :premises (@p1105)) % 15.85/16.23 (step-pop @p1107 :rule scope :premises (@p1106)) % 15.85/16.23 (step-pop @p1108 :rule scope :premises (@p1107)) % 15.85/16.23 (step-pop @p1109 :rule scope :premises (@p1108)) % 15.85/16.23 (step-pop @p1110 :rule scope :premises (@p1109)) % 15.85/16.23 (step-pop @p1111 :rule scope :premises (@p1110)) % 15.85/16.23 (step-pop @p1112 :rule scope :premises (@p1111)) % 15.85/16.23 (step-pop @p1113 :rule scope :premises (@p1112)) % 15.85/16.23 (step-pop @p1114 :rule scope :premises (@p1113)) % 15.85/16.23 (step-pop @p1115 :rule scope :premises (@p1114)) % 15.85/16.23 (step-pop @p1116 :rule scope :premises (@p1115)) % 15.85/16.23 (step @p726 :rule process_scope :premises (@p1116) :args (@t293)) % 15.85/16.23 (step @p741 :rule and_intro :premises (@p1078 @p1075 @p273 @p267 @p276 @p284 @p1076 @p274 @p286 @p275 @p456 @p1077 @p604 @p605)) % 15.85/16.23 (step @p742 :rule modus_ponens :premises (@p741 @p726)) % 15.85/16.23 (step-pop @p1117 :rule scope :premises (@p742)) % 15.85/16.23 (step-pop @p1118 :rule scope :premises (@p1117)) % 15.85/16.23 (step-pop @p1119 :rule scope :premises (@p1118)) % 15.85/16.23 (step-pop @p1120 :rule scope :premises (@p1119)) % 15.85/16.23 (step-pop @p1121 :rule scope :premises (@p1120)) % 15.85/16.23 (step-pop @p1122 :rule scope :premises (@p1121)) % 15.85/16.23 (step-pop @p1123 :rule scope :premises (@p1122)) % 15.85/16.23 (step-pop @p1124 :rule scope :premises (@p1123)) % 15.85/16.23 (step-pop @p1125 :rule scope :premises (@p1124)) % 15.85/16.23 (step-pop @p1126 :rule scope :premises (@p1125)) % 15.85/16.23 (step-pop @p1127 :rule scope :premises (@p1126)) % 15.85/16.23 (step-pop @p1128 :rule scope :premises (@p1127)) % 15.85/16.23 (step-pop @p1129 :rule scope :premises (@p1128)) % 15.85/16.23 (step-pop @p1130 :rule scope :premises (@p1129)) % 15.85/16.23 (step @p743 :rule process_scope :premises (@p1130) :args (@t293)) % 15.85/16.23 (step @p758 :rule implies_elim :premises (@p743)) % 15.85/16.23 (step @p759 :rule cnf_and_neg :args (@t294)) % 15.85/16.23 (step @p760 :rule resolution :premises (@p759 @p758) :args (true @t294)) % 15.85/16.23 (step @p761 :rule reordering :premises (@p760) :args ((or @t186 @t184 @t279 @t277 @t262 @t259 @t258 @t257 @t256 @t273 @t293 @t292 @t291 @t249 @t247))) % 15.85/16.23 (assume-push @p1131 @t117) % 15.85/16.23 (step @p763 :rule instantiate :premises (@p1131) :args (@t281)) % 15.85/16.23 (step-pop @p1132 :rule scope :premises (@p763)) % 15.85/16.23 (step @p764 :rule process_scope :premises (@p1132) :args (@t280)) % 15.85/16.23 (step @p766 :rule implies_elim :premises (@p764)) % 15.85/16.23 (step @p767 :rule cnf_or_pos :args (@t297)) % 15.85/16.23 (step @p768 :rule reordering :premises (@p767) :args ((or @t296 @t295 (not @t297)))) % 15.85/16.23 (assume-push @p1133 @t131) % 15.85/16.23 (step @p770 :rule instantiate :premises (@p1133) :args (@t281)) % 15.85/16.23 (step-pop @p1134 :rule scope :premises (@p770)) % 15.85/16.23 (step @p771 :rule process_scope :premises (@p1134) :args (@t297)) % 15.85/16.23 (step @p773 :rule implies_elim :premises (@p771)) % 15.85/16.23 (step @p774 :rule chain_m_resolution :premises (@p773 @p241 @p169 @p768 @p766 @p761 @p286 @p284 @p605 @p604 @p456 @p276 @p275 @p274 @p273 @p267 @p679 @p286 @p284 @p605 @p604 @p276 @p275 @p274 @p273 @p267 @p603 @p256 @p251) :args ((or @t186 @t184 @t279 @t277) (@list false true true true false false false false false false false false false false false false false false false false false false false false false true true true) (@list @t131 @t135 @t297 @t117 @t293 @t240 @t234 @t285 @t283 @t268 @t218 @t216 @t214 @t212 @t206 @t289 @t240 @t234 @t285 @t283 @t218 @t216 @t214 @t212 @t206 @t280 @t152 @t187))) % 15.85/16.23 (step @p775 :rule eq-symm :args (@t45 tptp.sk_c9)) % 15.85/16.23 (step @p776 :rule nary_cong :premises (@p775 @p68) :args (@t47)) % 15.85/16.23 (step @p777 :rule eq_resolve :premises (@p24 @p776)) % 15.85/16.23 (step @p778 :rule reordering :premises (@p777) :args ((or @t105 @t278))) % 15.85/16.23 (step @p779 :rule nary_cong :premises (@p775 @p72) :args (@t48)) % 15.85/16.23 (step @p780 :rule eq_resolve :premises (@p25 @p779)) % 15.85/16.23 (step @p781 :rule reordering :premises (@p780) :args ((or @t106 @t278))) % 15.85/16.23 (step @p782 :rule chain_m_resolution :premises (@p600 @p241 @p169 @p595 @p94 @p453 @p303 @p286 @p285 @p284 @p283 @p282 @p281 @p280 @p279 @p278 @p277 @p276 @p275 @p274 @p273 @p272 @p271 @p267 @p593 @p303 @p286 @p285 @p284 @p282 @p281 @p280 @p279 @p278 @p277 @p456 @p455 @p454 @p276 @p275 @p274 @p273 @p272 @p271 @p267 @p89 @p781 @p778 @p774 @p601 @p256 @p251) :args (@t187 (@list false true true true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false false true false true true) (@list @t131 @t135 @t276 @t117 @t245 @t200 @t240 @t237 @t234 @t232 @t230 @t228 @t226 @t223 @t221 @t220 @t218 @t216 @t214 @t212 @t210 @t208 @t206 @t271 @t200 @t240 @t237 @t234 @t230 @t228 @t226 @t223 @t221 @t220 @t268 @t266 @t264 @t218 @t216 @t214 @t212 @t210 @t208 @t206 @t112 @t106 @t105 @t278 @t189 @t152 @t187))) % 15.85/16.23 (step @p783 :rule chain_m_resolution :premises (@p782 @p249) :args (@t186 (@list false) (@list @t102))) % 15.85/16.23 (step @p784 :rule eq-symm :args (@t11 tptp.sk_c10)) % 15.85/16.23 (step @p785 :rule nary_cong :premises (@p784 @p84) :args (@t35)) % 15.85/16.23 (step @p786 :rule eq_resolve :premises (@p12 @p785)) % 15.85/16.23 (step @p787 :rule chain_m_resolution :premises (@p786 @p783) :args (@t109 @t204 @t298)) % 15.85/16.23 (step @p788 :rule nary_cong :premises (@p784 @p80) :args (@t32)) % 15.85/16.23 (step @p789 :rule eq_resolve :premises (@p11 @p788)) % 15.85/16.23 (step @p790 :rule chain_m_resolution :premises (@p789 @p783) :args (@t108 @t204 @t298)) % 15.85/16.23 (step @p791 :rule chain_m_resolution :premises (@p130 @p790 @p787) :args (@t121 @t147 (@list @t108 @t109))) % 15.85/16.23 (step @p792 :rule nary_cong :premises (@p784 @p76) :args (@t29)) % 15.85/16.23 (step @p793 :rule eq_resolve :premises (@p10 @p792)) % 15.85/16.23 (step @p794 :rule chain_m_resolution :premises (@p793 @p783) :args (@t107 @t204 @t298)) % 15.85/16.23 (step @p795 :rule chain_m_resolution :premises (@p112 @p794 @p790) :args (@t119 @t147 (@list @t107 @t108))) % 15.85/16.23 (step @p796 :rule chain_m_resolution :premises (@p132 @p795 @p791) :args (@t126 @t147 (@list @t119 @t121))) % 15.85/16.23 (step @p797 :rule nary_cong :premises (@p784 @p72) :args (@t22)) % 15.85/16.23 (step @p798 :rule eq_resolve :premises (@p7 @p797)) % 15.85/16.23 (step @p799 :rule chain_m_resolution :premises (@p798 @p783) :args (@t106 @t204 @t298)) % 15.85/16.23 (step @p800 :rule nary_cong :premises (@p784 @p68) :args (@t19)) % 15.85/16.23 (step @p801 :rule eq_resolve :premises (@p6 @p800)) % 15.85/16.23 (step @p802 :rule chain_m_resolution :premises (@p801 @p783) :args (@t105 @t204 @t298)) % 15.85/16.23 (step @p803 :rule chain_m_resolution :premises (@p89 @p802 @p799) :args (@t113 @t147 (@list @t105 @t106))) % 15.85/16.23 (step @p804 :rule chain_m_resolution :premises (@p94 @p803) :args ((not @t117) @t204 (@list @t112))) % 15.85/16.23 (step @p805 :rule nary_cong :premises (@p784 @p64) :args (@t16)) % 15.85/16.23 (step @p806 :rule eq_resolve :premises (@p5 @p805)) % 15.85/16.23 (step @p807 :rule chain_m_resolution :premises (@p806 @p783) :args (@t104 @t204 @t298)) % 15.85/16.23 (step @p808 :rule nary_cong :premises (@p784 @p59) :args (@t13)) % 15.85/16.23 (step @p809 :rule eq_resolve :premises (@p4 @p808)) % 15.85/16.23 (step @p810 :rule chain_m_resolution :premises (@p809 @p783) :args (@t103 @t204 @t298)) % 15.85/16.23 (step @p811 :rule chain_m_resolution :premises (@p243 @p810 @p807) :args (@t183 @t147 (@list @t103 @t104))) % 15.85/16.23 (step @p812 :rule chain_m_resolution :premises (@p248 @p811) :args ((not @t152) @t204 (@list @t182))) % 15.85/16.23 (step @p813 :rule chain_m_resolution :premises (@p241 @p812 @p804 @p169) :args (@t131 @t179 (@list @t152 @t117 @t135))) % 15.85/16.23 (step @p814 false :rule chain_m_resolution :premises (@p137 @p813 @p796) :args (false (@list false true) (@list @t131 @t125))) % 15.85/16.23 ) % 15.85/16.23 % SZS output end Proof % 15.85/16.23 % cvc5 exiting %------------------------------------------------------------------------------