%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP247-1 : 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 : n029.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 16.10s 16.38s % Output : Proof 16.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP247-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:00:32 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.02/16.26 --- Run --no-e-matching --full-saturate-quant at 6... % 16.10/16.38 % SZS status Unsatisfiable % 16.10/16.38 % SZS output start Proof % 16.10/16.40 ( % 16.10/16.40 (declare-sort $$unsorted 0) % 16.10/16.40 (declare-const tptp.sk_c2 $$unsorted) % 16.10/16.40 (declare-const tptp.sk_c6 $$unsorted) % 16.10/16.40 (declare-const tptp.sk_c3 $$unsorted) % 16.10/16.40 (declare-const tptp.sk_c7 $$unsorted) % 16.10/16.40 (declare-const tptp.sk_c1 $$unsorted) % 16.10/16.40 (declare-const tptp.sk_c4 $$unsorted) % 16.10/16.40 (declare-const tptp.sk_c9 $$unsorted) % 16.10/16.40 (declare-const tptp.sk_c8 $$unsorted) % 16.10/16.40 (declare-const tptp.sk_c5 $$unsorted) % 16.10/16.40 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.10/16.40 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.10/16.40 (declare-const tptp.identity $$unsorted) % 16.10/16.40 (define @t1 () (@var "X" $$unsorted)) % 16.10/16.40 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.10/16.40 (define @t3 () (@list @t1)) % 16.10/16.40 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.10/16.40 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.10/16.40 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.10/16.40 (define @t7 () (@var "Z" $$unsorted)) % 16.10/16.40 (define @t8 () (@var "Y" $$unsorted)) % 16.10/16.40 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.10/16.40 (define @t10 () (tptp.multiply tptp.sk_c4 tptp.sk_c9)) % 16.10/16.40 (define @t11 () (= @t10 tptp.sk_c8)) % 16.10/16.40 (define @t12 () (tptp.multiply tptp.sk_c1 tptp.sk_c9)) % 16.10/16.40 (define @t13 () (= @t12 tptp.sk_c8)) % 16.10/16.40 (define @t14 () (or @t13 @t11)) % 16.10/16.40 (define @t15 () (tptp.inverse tptp.sk_c4)) % 16.10/16.40 (define @t16 () (= @t15 tptp.sk_c9)) % 16.10/16.40 (define @t17 () (or @t13 @t16)) % 16.10/16.40 (define @t18 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 16.10/16.40 (define @t19 () (= @t18 tptp.sk_c7)) % 16.10/16.40 (define @t20 () (or @t13 @t19)) % 16.10/16.40 (define @t21 () (tptp.inverse tptp.sk_c5)) % 16.10/16.40 (define @t22 () (= @t21 tptp.sk_c8)) % 16.10/16.40 (define @t23 () (or @t13 @t22)) % 16.10/16.40 (define @t24 () (tptp.inverse tptp.sk_c6)) % 16.10/16.40 (define @t25 () (= @t24 tptp.sk_c9)) % 16.10/16.40 (define @t26 () (or @t13 @t25)) % 16.10/16.40 (define @t27 () (tptp.multiply tptp.sk_c6 tptp.sk_c8)) % 16.10/16.40 (define @t28 () (= @t27 tptp.sk_c9)) % 16.10/16.40 (define @t29 () (or @t13 @t28)) % 16.10/16.40 (define @t30 () (tptp.inverse tptp.sk_c1)) % 16.10/16.40 (define @t31 () (= @t30 tptp.sk_c9)) % 16.10/16.40 (define @t32 () (or @t31 @t11)) % 16.10/16.40 (define @t33 () (or @t31 @t16)) % 16.10/16.40 (define @t34 () (or @t31 @t19)) % 16.10/16.40 (define @t35 () (or @t31 @t22)) % 16.10/16.40 (define @t36 () (or @t31 @t25)) % 16.10/16.40 (define @t37 () (or @t31 @t28)) % 16.10/16.40 (define @t38 () (tptp.multiply tptp.sk_c2 tptp.sk_c8)) % 16.10/16.40 (define @t39 () (= @t38 tptp.sk_c7)) % 16.10/16.40 (define @t40 () (or @t39 @t19)) % 16.10/16.40 (define @t41 () (or @t39 @t22)) % 16.10/16.40 (define @t42 () (or @t39 @t25)) % 16.10/16.40 (define @t43 () (or @t39 @t28)) % 16.10/16.40 (define @t44 () (tptp.inverse tptp.sk_c2)) % 16.10/16.40 (define @t45 () (= @t44 tptp.sk_c8)) % 16.10/16.40 (define @t46 () (or @t45 @t19)) % 16.10/16.40 (define @t47 () (or @t45 @t22)) % 16.10/16.40 (define @t48 () (or @t45 @t25)) % 16.10/16.40 (define @t49 () (or @t45 @t28)) % 16.10/16.40 (define @t50 () (tptp.inverse tptp.sk_c3)) % 16.10/16.40 (define @t51 () (= @t50 tptp.sk_c9)) % 16.10/16.40 (define @t52 () (or @t51 @t25)) % 16.10/16.40 (define @t53 () (or @t51 @t28)) % 16.10/16.40 (define @t54 () (tptp.multiply tptp.sk_c3 tptp.sk_c7)) % 16.10/16.40 (define @t55 () (= @t54 tptp.sk_c9)) % 16.10/16.40 (define @t56 () (or @t55 @t25)) % 16.10/16.40 (define @t57 () (or @t55 @t28)) % 16.10/16.40 (define @t58 () (@var "X3" $$unsorted)) % 16.10/16.40 (define @t59 () (tptp.multiply @t58 tptp.sk_c8)) % 16.10/16.40 (define @t60 () (not (= @t59 tptp.sk_c9))) % 16.10/16.40 (define @t61 () (tptp.inverse @t58)) % 16.10/16.40 (define @t62 () (not (= @t61 tptp.sk_c9))) % 16.10/16.40 (define @t63 () (@var "X2" $$unsorted)) % 16.10/16.40 (define @t64 () (tptp.inverse @t63)) % 16.10/16.40 (define @t65 () (not (= @t64 tptp.sk_c8))) % 16.10/16.40 (define @t66 () (tptp.multiply @t63 tptp.sk_c8)) % 16.10/16.40 (define @t67 () (not (= @t66 tptp.sk_c7))) % 16.10/16.40 (define @t68 () (@var "X1" $$unsorted)) % 16.10/16.40 (define @t69 () (tptp.inverse @t68)) % 16.10/16.40 (define @t70 () (not (= @t69 tptp.sk_c9))) % 16.10/16.40 (define @t71 () (tptp.multiply @t68 tptp.sk_c9)) % 16.10/16.40 (define @t72 () (not (= @t71 tptp.sk_c8))) % 16.10/16.40 (define @t73 () (@var "X6" $$unsorted)) % 16.10/16.40 (define @t74 () (tptp.multiply @t73 tptp.sk_c7)) % 16.10/16.40 (define @t75 () (not (= @t74 tptp.sk_c9))) % 16.10/16.40 (define @t76 () (tptp.inverse @t73)) % 16.10/16.40 (define @t77 () (not (= @t76 tptp.sk_c9))) % 16.10/16.40 (define @t78 () (@var "X5" $$unsorted)) % 16.10/16.40 (define @t79 () (tptp.inverse @t78)) % 16.10/16.40 (define @t80 () (not (= @t79 tptp.sk_c8))) % 16.10/16.40 (define @t81 () (tptp.multiply @t78 tptp.sk_c8)) % 16.10/16.40 (define @t82 () (not (= @t81 tptp.sk_c7))) % 16.10/16.40 (define @t83 () (@var "X4" $$unsorted)) % 16.10/16.40 (define @t84 () (tptp.inverse @t83)) % 16.10/16.40 (define @t85 () (not (= @t84 tptp.sk_c9))) % 16.10/16.40 (define @t86 () (tptp.multiply @t83 tptp.sk_c9)) % 16.10/16.40 (define @t87 () (not (= @t86 tptp.sk_c8))) % 16.10/16.40 (define @t88 () (or @t87 @t85 @t82 @t80 @t77 @t75 @t72 @t70 @t67 @t65 @t62 @t60)) % 16.10/16.40 (define @t89 () (@list @t83 @t78 @t73 @t68 @t63 @t58)) % 16.10/16.40 (define @t90 () (forall @t89 @t88)) % 16.10/16.40 (define @t91 () (= tptp.sk_c9 @t30)) % 16.10/16.40 (define @t92 () (= tptp.sk_c8 @t10)) % 16.10/16.40 (define @t93 () (= tptp.sk_c9 @t15)) % 16.10/16.40 (define @t94 () (= tptp.sk_c7 @t18)) % 16.10/16.40 (define @t95 () (= tptp.sk_c8 @t21)) % 16.10/16.40 (define @t96 () (= tptp.sk_c9 @t24)) % 16.10/16.40 (define @t97 () (= tptp.sk_c9 @t27)) % 16.10/16.40 (define @t98 () (not @t95)) % 16.10/16.40 (define @t99 () (not @t94)) % 16.10/16.40 (define @t100 () (or @t99 @t98)) % 16.10/16.40 (define @t101 () (not @t100)) % 16.10/16.40 (define @t102 () (not @t97)) % 16.10/16.40 (define @t103 () (not @t96)) % 16.10/16.40 (define @t104 () (or @t103 @t102)) % 16.10/16.40 (define @t105 () (not @t104)) % 16.10/16.40 (define @t106 () (not (= tptp.sk_c8 @t79))) % 16.10/16.40 (define @t107 () (not (= tptp.sk_c7 @t81))) % 16.10/16.40 (define @t108 () (or @t107 @t106)) % 16.10/16.40 (define @t109 () (forall (@list @t78) @t108)) % 16.10/16.40 (define @t110 () (@list tptp.sk_c5)) % 16.10/16.40 (define @t111 () (not (= tptp.sk_c9 @t59))) % 16.10/16.40 (define @t112 () (not (= tptp.sk_c9 @t61))) % 16.10/16.40 (define @t113 () (or @t112 @t111)) % 16.10/16.40 (define @t114 () (forall (@list @t58) @t113)) % 16.10/16.40 (define @t115 () (@list tptp.sk_c6)) % 16.10/16.40 (define @t116 () (@quantifiers_skolemize @t109 0)) % 16.10/16.40 (define @t117 () (tptp.inverse @t116)) % 16.10/16.40 (define @t118 () (= tptp.sk_c8 @t117)) % 16.10/16.40 (define @t119 () (not @t118)) % 16.10/16.40 (define @t120 () (= tptp.sk_c7 (tptp.multiply @t116 tptp.sk_c8))) % 16.10/16.40 (define @t121 () (not @t120)) % 16.10/16.40 (define @t122 () (or @t121 @t119)) % 16.10/16.40 (define @t123 () (not @t122)) % 16.10/16.40 (define @t124 () (not @t109)) % 16.10/16.40 (define @t125 () (not @t93)) % 16.10/16.40 (define @t126 () (not @t92)) % 16.10/16.40 (define @t127 () (or @t126 @t125)) % 16.10/16.40 (define @t128 () (not @t127)) % 16.10/16.40 (define @t129 () (not (= tptp.sk_c9 @t84))) % 16.10/16.40 (define @t130 () (not (= tptp.sk_c8 @t86))) % 16.10/16.40 (define @t131 () (or @t130 @t129)) % 16.10/16.40 (define @t132 () (forall (@list @t83) @t131)) % 16.10/16.40 (define @t133 () (@quantifiers_skolemize @t132 0)) % 16.10/16.40 (define @t134 () (tptp.inverse @t133)) % 16.10/16.40 (define @t135 () (= tptp.sk_c9 @t134)) % 16.10/16.40 (define @t136 () (not @t135)) % 16.10/16.40 (define @t137 () (= tptp.sk_c8 (tptp.multiply @t133 tptp.sk_c9))) % 16.10/16.40 (define @t138 () (not @t137)) % 16.10/16.40 (define @t139 () (or @t138 @t136)) % 16.10/16.40 (define @t140 () (not @t139)) % 16.10/16.40 (define @t141 () (not @t132)) % 16.10/16.40 (define @t142 () (not (= tptp.sk_c8 @t64))) % 16.10/16.40 (define @t143 () (not (= tptp.sk_c7 @t66))) % 16.10/16.40 (define @t144 () (or @t143 @t142)) % 16.10/16.40 (define @t145 () (forall (@list @t63) @t144)) % 16.10/16.40 (define @t146 () (not (= tptp.sk_c9 @t69))) % 16.10/16.40 (define @t147 () (not (= tptp.sk_c8 @t71))) % 16.10/16.40 (define @t148 () (or @t147 @t146)) % 16.10/16.40 (define @t149 () (forall (@list @t68) @t148)) % 16.10/16.40 (define @t150 () (not (= tptp.sk_c9 @t74))) % 16.10/16.40 (define @t151 () (not (= tptp.sk_c9 @t76))) % 16.10/16.40 (define @t152 () (or @t151 @t150)) % 16.10/16.40 (define @t153 () (forall (@list @t73) @t152)) % 16.10/16.40 (define @t154 () (or @t131 @t108 @t152 @t148 @t144 @t113)) % 16.10/16.40 (define @t155 () (or @t130 @t129 @t107 @t106 @t151 @t150 @t147 @t146 @t143 @t142 @t112 @t111)) % 16.10/16.40 (define @t156 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) % 16.10/16.40 (define @t157 () (not @t156)) % 16.10/16.40 (define @t158 () (or @t103 @t157)) % 16.10/16.40 (define @t159 () (@list tptp.sk_c9)) % 16.10/16.40 (define @t160 () (@list @t133)) % 16.10/16.40 (define @t161 () (@list @t116)) % 16.10/16.40 (define @t162 () (tptp.inverse tptp.sk_c9)) % 16.10/16.40 (define @t163 () (tptp.multiply tptp.identity tptp.identity)) % 16.10/16.40 (define @t164 () (= tptp.identity @t163)) % 16.10/16.40 (define @t165 () (tptp.multiply tptp.identity tptp.sk_c9)) % 16.10/16.40 (define @t166 () (= tptp.sk_c9 @t165)) % 16.10/16.40 (define @t167 () (tptp.multiply @t162 tptp.sk_c9)) % 16.10/16.40 (define @t168 () (= tptp.identity @t167)) % 16.10/16.40 (define @t169 () (tptp.multiply tptp.identity @t133)) % 16.10/16.40 (define @t170 () (= @t133 @t169)) % 16.10/16.40 (define @t171 () (tptp.multiply @t134 @t133)) % 16.10/16.40 (define @t172 () (= tptp.identity @t171)) % 16.10/16.40 (define @t173 () (tptp.multiply tptp.identity @t116)) % 16.10/16.40 (define @t174 () (= @t116 @t173)) % 16.10/16.40 (define @t175 () (tptp.multiply @t117 @t116)) % 16.10/16.40 (define @t176 () (= tptp.identity @t175)) % 16.10/16.40 (define @t177 () (tptp.multiply @t167 @t133)) % 16.10/16.40 (define @t178 () (= @t177 (tptp.multiply @t162 (tptp.multiply tptp.sk_c9 @t133)))) % 16.10/16.40 (define @t179 () (tptp.multiply @t162 tptp.identity)) % 16.10/16.40 (define @t180 () (tptp.multiply @t179 tptp.sk_c9)) % 16.10/16.40 (define @t181 () (= @t180 (tptp.multiply @t162 @t165))) % 16.10/16.40 (define @t182 () (and @t97 @t137 @t135 @t120 @t118 @t164 @t166 @t168 @t170 @t172 @t174 @t176 @t178 @t181)) % 16.10/16.40 (define @t183 () (not @t91)) % 16.10/16.40 (define @t184 () (= tptp.sk_c8 @t12)) % 16.10/16.40 (define @t185 () (not @t184)) % 16.10/16.40 (define @t186 () (or @t185 @t183)) % 16.10/16.40 (define @t187 () (@list tptp.sk_c1)) % 16.10/16.40 (define @t188 () (= tptp.sk_c8 @t44)) % 16.10/16.40 (define @t189 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.10/16.40 (define @t190 () (= tptp.sk_c1 @t189)) % 16.10/16.40 (define @t191 () (tptp.multiply @t30 tptp.sk_c1)) % 16.10/16.40 (define @t192 () (= tptp.identity @t191)) % 16.10/16.40 (define @t193 () (tptp.multiply tptp.identity tptp.sk_c5)) % 16.10/16.40 (define @t194 () (= tptp.sk_c5 @t193)) % 16.10/16.40 (define @t195 () (tptp.multiply @t21 tptp.sk_c5)) % 16.10/16.40 (define @t196 () (= tptp.identity @t195)) % 16.10/16.40 (define @t197 () (tptp.multiply @t167 tptp.sk_c1)) % 16.10/16.40 (define @t198 () (= @t197 (tptp.multiply @t162 (tptp.multiply tptp.sk_c9 tptp.sk_c1)))) % 16.10/16.40 (define @t199 () (tptp.multiply @t163 tptp.sk_c1)) % 16.10/16.40 (define @t200 () (tptp.multiply tptp.identity @t189)) % 16.10/16.40 (define @t201 () (and @t184 @t94 @t95 @t97 @t91 @t164 @t190 @t192 @t166 @t168 @t194 @t196 @t198 @t181)) % 16.10/16.40 (define @t202 () (not @t188)) % 16.10/16.40 (define @t203 () (= tptp.sk_c7 @t38)) % 16.10/16.40 (define @t204 () (not @t203)) % 16.10/16.40 (define @t205 () (or @t204 @t202)) % 16.10/16.40 (define @t206 () (@list tptp.sk_c2)) % 16.10/16.40 (define @t207 () (= tptp.sk_c9 @t54)) % 16.10/16.40 (define @t208 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.10/16.40 (define @t209 () (= tptp.sk_c2 @t208)) % 16.10/16.40 (define @t210 () (tptp.multiply @t44 tptp.sk_c2)) % 16.10/16.40 (define @t211 () (= tptp.identity @t210)) % 16.10/16.40 (define @t212 () (tptp.multiply @t163 tptp.sk_c2)) % 16.10/16.40 (define @t213 () (tptp.multiply tptp.identity @t208)) % 16.10/16.40 (define @t214 () (and @t184 @t97 @t91 @t203 @t188 @t164 @t190 @t192 @t166 @t168 @t209 @t211 @t198 @t181)) % 16.10/16.40 (define @t215 () (@list @t162 tptp.identity tptp.identity)) % 16.10/16.40 (define @t216 () (tptp.multiply @t179 tptp.identity)) % 16.10/16.40 (define @t217 () (= @t216 (tptp.multiply @t162 @t163))) % 16.10/16.40 (define @t218 () (forall @t3 (= tptp.identity @t5))) % 16.10/16.40 (define @t219 () (forall @t3 (= @t1 @t2))) % 16.10/16.40 (define @t220 () (tptp.multiply tptp.sk_c1 tptp.identity)) % 16.10/16.40 (define @t221 () (= tptp.sk_c9 (tptp.inverse @t220))) % 16.10/16.40 (define @t222 () (and @t91 @t164 @t190 @t192 @t168 @t198 @t217)) % 16.10/16.40 (define @t223 () (not @t198)) % 16.10/16.40 (define @t224 () (not @t168)) % 16.10/16.40 (define @t225 () (not @t192)) % 16.10/16.40 (define @t226 () (not @t190)) % 16.10/16.40 (define @t227 () (not @t164)) % 16.10/16.40 (define @t228 () (not @t207)) % 16.10/16.40 (define @t229 () (= tptp.sk_c9 @t50)) % 16.10/16.40 (define @t230 () (not @t229)) % 16.10/16.40 (define @t231 () (or @t230 @t228)) % 16.10/16.40 (define @t232 () (@list tptp.sk_c3)) % 16.10/16.40 (define @t233 () (= tptp.sk_c9 (tptp.multiply @t220 tptp.sk_c8))) % 16.10/16.40 (define @t234 () (not @t233)) % 16.10/16.40 (define @t235 () (not @t221)) % 16.10/16.40 (define @t236 () (or @t235 @t234)) % 16.10/16.40 (define @t237 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.10/16.40 (define @t238 () (= tptp.sk_c3 @t237)) % 16.10/16.40 (define @t239 () (= tptp.identity (tptp.multiply @t50 tptp.sk_c3))) % 16.10/16.40 (define @t240 () (tptp.multiply @t220 tptp.identity)) % 16.10/16.40 (define @t241 () (= @t240 (tptp.multiply tptp.sk_c1 @t163))) % 16.10/16.40 (define @t242 () (tptp.multiply tptp.sk_c9 tptp.sk_c3)) % 16.10/16.40 (define @t243 () (tptp.multiply @t162 @t242)) % 16.10/16.40 (define @t244 () (= (tptp.multiply @t167 tptp.sk_c3) @t243)) % 16.10/16.40 (define @t245 () (and @t184 @t91 @t203 @t188 @t229 @t207 @t164 @t190 @t192 @t166 @t168 @t209 @t211 @t238 @t239 @t241 @t198 @t244 @t181)) % 16.10/16.40 (define @t246 () (@list false)) % 16.10/16.40 (define @t247 () (@list true)) % 16.10/16.40 (define @t248 () (@list @t184)) % 16.10/16.40 (define @t249 () (@list false false)) % 16.10/16.40 (define @t250 () (@list @t109)) % 16.10/16.40 (define @t251 () (@list @t122)) % 16.10/16.40 (define @t252 () (@list @t132)) % 16.10/16.40 (define @t253 () (@list @t139)) % 16.10/16.40 (assume @p1 @t4) % 16.10/16.40 (assume @p2 @t6) % 16.10/16.40 (assume @p3 @t9) % 16.10/16.40 (assume @p4 @t14) % 16.10/16.40 (assume @p5 @t17) % 16.10/16.40 (assume @p6 @t20) % 16.10/16.40 (assume @p7 @t23) % 16.10/16.40 (assume @p8 @t26) % 16.10/16.40 (assume @p9 @t29) % 16.10/16.40 (assume @p10 @t32) % 16.10/16.40 (assume @p11 @t33) % 16.10/16.40 (assume @p12 @t34) % 16.10/16.40 (assume @p13 @t35) % 16.10/16.40 (assume @p14 @t36) % 16.10/16.40 (assume @p15 @t37) % 16.10/16.40 (assume @p16 (or @t39 @t11)) % 16.10/16.40 (assume @p17 (or @t39 @t16)) % 16.10/16.40 (assume @p18 @t40) % 16.10/16.40 (assume @p19 @t41) % 16.10/16.40 (assume @p20 @t42) % 16.10/16.40 (assume @p21 @t43) % 16.10/16.40 (assume @p22 (or @t45 @t11)) % 16.10/16.40 (assume @p23 (or @t45 @t16)) % 16.10/16.40 (assume @p24 @t46) % 16.10/16.40 (assume @p25 @t47) % 16.10/16.40 (assume @p26 @t48) % 16.10/16.40 (assume @p27 @t49) % 16.10/16.40 (assume @p28 (or @t51 @t11)) % 16.10/16.40 (assume @p29 (or @t51 @t16)) % 16.10/16.40 (assume @p30 (or @t51 @t19)) % 16.10/16.40 (assume @p31 (or @t51 @t22)) % 16.10/16.40 (assume @p32 @t52) % 16.10/16.40 (assume @p33 @t53) % 16.10/16.40 (assume @p34 (or @t55 @t11)) % 16.10/16.40 (assume @p35 (or @t55 @t16)) % 16.10/16.40 (assume @p36 (or @t55 @t19)) % 16.10/16.40 (assume @p37 (or @t55 @t22)) % 16.10/16.40 (assume @p38 @t56) % 16.10/16.40 (assume @p39 @t57) % 16.10/16.40 (assume @p40 @t90) % 16.10/16.40 (step @p41 :rule eq-symm :args (@t10 tptp.sk_c8)) % 16.10/16.40 (step @p42 :rule eq-symm :args (@t30 tptp.sk_c9)) % 16.10/16.40 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t32)) % 16.10/16.40 (step @p44 :rule eq_resolve :premises (@p10 @p43)) % 16.10/16.40 (step @p45 :rule reordering :premises (@p44) :args ((or @t92 @t91))) % 16.10/16.40 (step @p46 :rule eq-symm :args (@t15 tptp.sk_c9)) % 16.10/16.40 (step @p47 :rule nary_cong :premises (@p42 @p46) :args (@t33)) % 16.10/16.40 (step @p48 :rule eq_resolve :premises (@p11 @p47)) % 16.10/16.40 (step @p49 :rule reordering :premises (@p48) :args ((or @t93 @t91))) % 16.10/16.40 (step @p50 :rule eq-symm :args (@t18 tptp.sk_c7)) % 16.10/16.40 (step @p51 :rule nary_cong :premises (@p42 @p50) :args (@t34)) % 16.10/16.40 (step @p52 :rule eq_resolve :premises (@p12 @p51)) % 16.10/16.40 (step @p53 :rule reordering :premises (@p52) :args ((or @t94 @t91))) % 16.10/16.40 (step @p54 :rule eq-symm :args (@t21 tptp.sk_c8)) % 16.10/16.40 (step @p55 :rule nary_cong :premises (@p42 @p54) :args (@t35)) % 16.10/16.40 (step @p56 :rule eq_resolve :premises (@p13 @p55)) % 16.10/16.40 (step @p57 :rule reordering :premises (@p56) :args ((or @t95 @t91))) % 16.10/16.40 (step @p58 :rule eq-symm :args (@t24 tptp.sk_c9)) % 16.10/16.40 (step @p59 :rule nary_cong :premises (@p42 @p58) :args (@t36)) % 16.10/16.40 (step @p60 :rule eq_resolve :premises (@p14 @p59)) % 16.10/16.40 (step @p61 :rule reordering :premises (@p60) :args ((or @t96 @t91))) % 16.10/16.40 (step @p62 :rule eq-symm :args (@t27 tptp.sk_c9)) % 16.10/16.40 (step @p63 :rule nary_cong :premises (@p42 @p62) :args (@t37)) % 16.10/16.40 (step @p64 :rule eq_resolve :premises (@p15 @p63)) % 16.10/16.40 (step @p65 :rule reordering :premises (@p64) :args ((or @t97 @t91))) % 16.10/16.40 (step @p66 :rule cnf_or_pos :args (@t100)) % 16.10/16.40 (step @p67 :rule reordering :premises (@p66) :args ((or @t99 @t98 @t101))) % 16.10/16.40 (step @p68 :rule cnf_or_pos :args (@t104)) % 16.10/16.40 (step @p69 :rule reordering :premises (@p68) :args ((or @t103 @t102 @t105))) % 16.10/16.40 (assume-push @p778 @t109) % 16.10/16.40 (step @p71 :rule instantiate :premises (@p778) :args (@t110)) % 16.10/16.40 (step-pop @p779 :rule scope :premises (@p71)) % 16.10/16.40 (step @p72 :rule process_scope :premises (@p779) :args (@t100)) % 16.10/16.40 (step @p74 :rule implies_elim :premises (@p72)) % 16.10/16.40 (assume-push @p780 @t114) % 16.10/16.40 (step @p76 :rule instantiate :premises (@p780) :args (@t115)) % 16.10/16.40 (step-pop @p781 :rule scope :premises (@p76)) % 16.10/16.40 (step @p77 :rule process_scope :premises (@p781) :args (@t104)) % 16.10/16.40 (step @p79 :rule implies_elim :premises (@p77)) % 16.10/16.40 (step @p80 :rule alpha_equiv :args (@t109 (@list @t78) (@list @t63))) % 16.10/16.40 (step @p81 :rule equiv_elim2 :premises (@p80)) % 16.10/16.40 (step @p82 :rule refl :args (@t123)) % 16.10/16.40 (step @p83 :rule bool-double-not-elim :args (@t109)) % 16.10/16.40 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t124) @t123))) % 16.10/16.40 (assume-push @p782 @t124) % 16.10/16.40 (step @p86 :rule skolemize :premises (@p782)) % 16.10/16.40 (step-pop @p783 :rule scope :premises (@p86)) % 16.10/16.40 (step @p87 :rule process_scope :premises (@p783) :args (@t123)) % 16.10/16.40 (step @p89 :rule implies_elim :premises (@p87)) % 16.10/16.40 (step @p90 :rule eq_resolve :premises (@p89 @p84)) % 16.10/16.40 (step @p91 :rule bool-double-not-elim :args (@t120)) % 16.10/16.40 (step @p92 :rule refl :args (@t122)) % 16.10/16.40 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t122 (not @t121)))) % 16.10/16.40 (step @p94 :rule cnf_or_neg :args (@t122 0)) % 16.10/16.40 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 16.10/16.40 (step @p96 :rule reordering :premises (@p95) :args ((or @t120 @t122))) % 16.10/16.40 (step @p97 :rule bool-double-not-elim :args (@t118)) % 16.10/16.40 (step @p98 :rule nary_cong :premises (@p92 @p97) :args ((or @t122 (not @t119)))) % 16.10/16.40 (step @p99 :rule cnf_or_neg :args (@t122 1)) % 16.10/16.40 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 16.10/16.40 (step @p101 :rule reordering :premises (@p100) :args ((or @t118 @t122))) % 16.10/16.40 (step @p102 :rule cnf_or_pos :args (@t127)) % 16.10/16.40 (step @p103 :rule reordering :premises (@p102) :args ((or @t126 @t125 @t128))) % 16.10/16.40 (assume-push @p784 @t132) % 16.10/16.40 (step @p105 :rule instantiate :premises (@p784) :args ((@list tptp.sk_c4))) % 16.10/16.40 (step-pop @p785 :rule scope :premises (@p105)) % 16.10/16.40 (step @p106 :rule process_scope :premises (@p785) :args (@t127)) % 16.10/16.40 (step @p108 :rule implies_elim :premises (@p106)) % 16.10/16.40 (step @p109 :rule alpha_equiv :args (@t132 (@list @t83) (@list @t68))) % 16.10/16.40 (step @p110 :rule equiv_elim2 :premises (@p109)) % 16.10/16.40 (step @p111 :rule refl :args (@t140)) % 16.10/16.40 (step @p112 :rule bool-double-not-elim :args (@t132)) % 16.10/16.40 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or (not @t141) @t140))) % 16.10/16.40 (assume-push @p786 @t141) % 16.10/16.40 (step @p115 :rule skolemize :premises (@p786)) % 16.10/16.40 (step-pop @p787 :rule scope :premises (@p115)) % 16.10/16.40 (step @p116 :rule process_scope :premises (@p787) :args (@t140)) % 16.10/16.40 (step @p118 :rule implies_elim :premises (@p116)) % 16.10/16.40 (step @p119 :rule eq_resolve :premises (@p118 @p113)) % 16.10/16.40 (step @p120 :rule quant-miniscope-or :args ((= (forall @t89 @t154) (or @t132 @t109 @t153 @t149 @t145 @t114)))) % 16.10/16.40 (step @p121 :rule aci_norm :args ((= @t155 @t154))) % 16.10/16.40 (step @p122 :rule cong :premises (@p121) :args ((forall @t89 @t155))) % 16.10/16.40 (step @p123 :rule trans :premises (@p122 @p120)) % 16.10/16.40 (step @p124 :rule eq-symm :args (@t59 tptp.sk_c9)) % 16.10/16.40 (step @p125 :rule cong :premises (@p124) :args (@t60)) % 16.10/16.40 (step @p126 :rule eq-symm :args (@t61 tptp.sk_c9)) % 16.10/16.40 (step @p127 :rule cong :premises (@p126) :args (@t62)) % 16.10/16.40 (step @p128 :rule eq-symm :args (@t64 tptp.sk_c8)) % 16.10/16.40 (step @p129 :rule cong :premises (@p128) :args (@t65)) % 16.10/16.40 (step @p130 :rule eq-symm :args (@t66 tptp.sk_c7)) % 16.10/16.40 (step @p131 :rule cong :premises (@p130) :args (@t67)) % 16.10/16.40 (step @p132 :rule eq-symm :args (@t69 tptp.sk_c9)) % 16.10/16.40 (step @p133 :rule cong :premises (@p132) :args (@t70)) % 16.10/16.40 (step @p134 :rule eq-symm :args (@t71 tptp.sk_c8)) % 16.10/16.40 (step @p135 :rule cong :premises (@p134) :args (@t72)) % 16.10/16.40 (step @p136 :rule eq-symm :args (@t74 tptp.sk_c9)) % 16.10/16.40 (step @p137 :rule cong :premises (@p136) :args (@t75)) % 16.10/16.40 (step @p138 :rule eq-symm :args (@t76 tptp.sk_c9)) % 16.10/16.40 (step @p139 :rule cong :premises (@p138) :args (@t77)) % 16.10/16.40 (step @p140 :rule eq-symm :args (@t79 tptp.sk_c8)) % 16.10/16.40 (step @p141 :rule cong :premises (@p140) :args (@t80)) % 16.10/16.40 (step @p142 :rule eq-symm :args (@t81 tptp.sk_c7)) % 16.10/16.40 (step @p143 :rule cong :premises (@p142) :args (@t82)) % 16.10/16.40 (step @p144 :rule eq-symm :args (@t84 tptp.sk_c9)) % 16.10/16.40 (step @p145 :rule cong :premises (@p144) :args (@t85)) % 16.10/16.40 (step @p146 :rule eq-symm :args (@t86 tptp.sk_c8)) % 16.10/16.40 (step @p147 :rule cong :premises (@p146) :args (@t87)) % 16.10/16.40 (step @p148 :rule nary_cong :premises (@p147 @p145 @p143 @p141 @p139 @p137 @p135 @p133 @p131 @p129 @p127 @p125) :args (@t88)) % 16.10/16.40 (step @p149 :rule cong :premises (@p148) :args (@t90)) % 16.10/16.40 (step @p150 :rule trans :premises (@p149 @p123)) % 16.10/16.40 (step @p151 :rule eq_resolve :premises (@p40 @p150)) % 16.10/16.40 (step @p152 :rule bool-double-not-elim :args (@t137)) % 16.10/16.40 (step @p153 :rule refl :args (@t139)) % 16.10/16.40 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t139 (not @t138)))) % 16.10/16.40 (step @p155 :rule cnf_or_neg :args (@t139 0)) % 16.10/16.40 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 16.10/16.40 (step @p157 :rule reordering :premises (@p156) :args ((or @t137 @t139))) % 16.10/16.40 (step @p158 :rule bool-double-not-elim :args (@t135)) % 16.10/16.40 (step @p159 :rule nary_cong :premises (@p153 @p158) :args ((or @t139 (not @t136)))) % 16.10/16.40 (step @p160 :rule cnf_or_neg :args (@t139 1)) % 16.10/16.40 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 16.10/16.40 (step @p162 :rule reordering :premises (@p161) :args ((or @t135 @t139))) % 16.10/16.40 (assume-push @p788 @t153) % 16.10/16.40 (step @p164 :rule instantiate :premises (@p788) :args (@t115)) % 16.10/16.40 (step-pop @p789 :rule scope :premises (@p164)) % 16.10/16.40 (step @p165 :rule process_scope :premises (@p789) :args (@t158)) % 16.10/16.40 (step @p167 :rule implies_elim :premises (@p165)) % 16.10/16.40 (step @p168 :rule cnf_or_pos :args (@t158)) % 16.10/16.40 (step @p169 :rule reordering :premises (@p168) :args ((or @t103 @t157 (not @t158)))) % 16.10/16.40 (step @p170 :rule eq-symm :args (@t2 @t1)) % 16.10/16.40 (step @p171 :rule cong :premises (@p170) :args (@t4)) % 16.10/16.40 (step @p172 :rule eq_resolve :premises (@p1 @p171)) % 16.10/16.40 (step @p173 :rule instantiate :premises (@p172) :args ((@list tptp.identity))) % 16.10/16.40 (step @p174 :rule instantiate :premises (@p172) :args (@t159)) % 16.10/16.40 (step @p175 :rule eq-symm :args (@t5 tptp.identity)) % 16.10/16.40 (step @p176 :rule cong :premises (@p175) :args (@t6)) % 16.10/16.40 (step @p177 :rule eq_resolve :premises (@p2 @p176)) % 16.10/16.40 (step @p178 :rule instantiate :premises (@p177) :args (@t159)) % 16.10/16.40 (step @p179 :rule instantiate :premises (@p172) :args (@t160)) % 16.10/16.40 (step @p180 :rule instantiate :premises (@p177) :args (@t160)) % 16.10/16.40 (step @p181 :rule instantiate :premises (@p172) :args (@t161)) % 16.10/16.40 (step @p182 :rule instantiate :premises (@p177) :args (@t161)) % 16.10/16.40 (step @p183 :rule instantiate :premises (@p3) :args ((@list @t162 tptp.sk_c9 @t133))) % 16.10/16.40 (step @p184 :rule instantiate :premises (@p3) :args ((@list @t162 tptp.identity tptp.sk_c9))) % 16.10/16.40 (assume-push @p790 @t97) % 16.10/16.40 (assume-push @p791 @t137) % 16.10/16.40 (assume-push @p792 @t135) % 16.10/16.40 (assume-push @p793 @t120) % 16.10/16.40 (assume-push @p794 @t118) % 16.10/16.40 (assume-push @p795 @t164) % 16.10/16.40 (assume-push @p796 @t166) % 16.10/16.40 (assume-push @p797 @t168) % 16.10/16.40 (assume-push @p798 @t170) % 16.10/16.40 (assume-push @p799 @t172) % 16.10/16.40 (assume-push @p800 @t174) % 16.10/16.40 (assume-push @p801 @t176) % 16.10/16.40 (assume-push @p802 @t178) % 16.10/16.40 (assume-push @p803 @t181) % 16.10/16.40 (assume-push @p804 @t120) % 16.10/16.40 (assume-push @p805 @t174) % 16.10/16.40 (assume-push @p806 @t164) % 16.10/16.40 (assume-push @p807 @t168) % 16.10/16.40 (assume-push @p808 @t166) % 16.10/16.40 (assume-push @p809 @t181) % 16.10/16.40 (assume-push @p810 @t172) % 16.10/16.40 (assume-push @p811 @t135) % 16.10/16.40 (assume-push @p812 @t178) % 16.10/16.40 (assume-push @p813 @t170) % 16.10/16.40 (assume-push @p814 @t137) % 16.10/16.40 (assume-push @p815 @t118) % 16.10/16.40 (assume-push @p816 @t176) % 16.10/16.40 (assume-push @p817 @t97) % 16.10/16.40 (step @p213 :rule symm :premises (@p793)) % 16.10/16.40 (step @p214 :rule symm :premises (@p791)) % 16.10/16.40 (step @p215 :rule refl :args (tptp.sk_c9)) % 16.10/16.40 (step @p216 :rule symm :premises (@p179)) % 16.10/16.40 (step @p217 :rule refl :args (@t133)) % 16.10/16.40 (step @p218 :rule symm :premises (@p173)) % 16.10/16.40 (step @p219 :rule cong :premises (@p218 @p217) :args ((tptp.multiply @t163 @t133))) % 16.10/16.40 (step @p220 :rule cong :premises (@p173 @p216) :args ((tptp.multiply tptp.identity @t169))) % 16.10/16.40 (step @p221 :rule symm :premises (@p178)) % 16.10/16.40 (step @p222 :rule cong :premises (@p221 @p179) :args (@t177)) % 16.10/16.40 (step @p223 :rule symm :premises (@p183)) % 16.10/16.40 (step @p224 :rule symm :premises (@p792)) % 16.10/16.40 (step @p225 :rule cong :premises (@p224 @p217) :args (@t171)) % 16.10/16.40 (step @p226 :rule trans :premises (@p180 @p225)) % 16.10/16.40 (step @p227 :rule refl :args (@t162)) % 16.10/16.40 (step @p228 :rule cong :premises (@p227 @p226) :args (@t179)) % 16.10/16.40 (step @p229 :rule trans :premises (@p228 @p223 @p222 @p220 @p219 @p216)) % 16.10/16.40 (step @p230 :rule cong :premises (@p229 @p215) :args (@t180)) % 16.10/16.40 (step @p231 :rule symm :premises (@p184)) % 16.10/16.40 (step @p232 :rule cong :premises (@p227 @p174) :args (@t167)) % 16.10/16.40 (step @p233 :rule trans :premises (@p178 @p232 @p231 @p230 @p214)) % 16.10/16.40 (step @p234 :rule symm :premises (@p181)) % 16.10/16.40 (step @p235 :rule refl :args (@t116)) % 16.10/16.40 (step @p236 :rule cong :premises (@p218 @p235) :args ((tptp.multiply @t163 @t116))) % 16.10/16.40 (step @p237 :rule cong :premises (@p173 @p234) :args ((tptp.multiply tptp.identity @t173))) % 16.10/16.40 (step @p238 :rule symm :premises (@p232)) % 16.10/16.40 (step @p239 :rule symm :premises (@p230)) % 16.10/16.40 (step @p240 :rule symm :premises (@p794)) % 16.10/16.40 (step @p241 :rule trans :premises (@p240 @p791 @p239 @p184 @p238 @p221)) % 16.10/16.40 (step @p242 :rule cong :premises (@p241 @p181) :args (@t175)) % 16.10/16.40 (step @p243 :rule trans :premises (@p182 @p242 @p237 @p236 @p234)) % 16.10/16.40 (step @p244 :rule cong :premises (@p243 @p233) :args (@t163)) % 16.10/16.40 (step @p245 :rule trans :premises (@p791 @p239 @p184 @p238 @p221 @p173 @p244 @p213)) % 16.10/16.40 (step @p246 :rule refl :args (tptp.sk_c6)) % 16.10/16.40 (step @p247 :rule cong :premises (@p246 @p245) :args (@t27)) % 16.10/16.40 (step @p248 :rule trans :premises (@p790 @p247)) % 16.10/16.40 (step-pop @p818 :rule scope :premises (@p248)) % 16.10/16.40 (step-pop @p819 :rule scope :premises (@p818)) % 16.10/16.40 (step-pop @p820 :rule scope :premises (@p819)) % 16.10/16.40 (step-pop @p821 :rule scope :premises (@p820)) % 16.10/16.40 (step-pop @p822 :rule scope :premises (@p821)) % 16.10/16.40 (step-pop @p823 :rule scope :premises (@p822)) % 16.10/16.40 (step-pop @p824 :rule scope :premises (@p823)) % 16.10/16.40 (step-pop @p825 :rule scope :premises (@p824)) % 16.10/16.40 (step-pop @p826 :rule scope :premises (@p825)) % 16.10/16.40 (step-pop @p827 :rule scope :premises (@p826)) 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@p293)) % 16.10/16.40 (step @p295 :rule reordering :premises (@p294) :args ((or @t94 @t188))) % 16.10/16.40 (step @p296 :rule nary_cong :premises (@p292 @p54) :args (@t47)) % 16.10/16.40 (step @p297 :rule eq_resolve :premises (@p25 @p296)) % 16.10/16.40 (step @p298 :rule reordering :premises (@p297) :args ((or @t95 @t188))) % 16.10/16.40 (step @p299 :rule nary_cong :premises (@p292 @p58) :args (@t48)) % 16.10/16.40 (step @p300 :rule eq_resolve :premises (@p26 @p299)) % 16.10/16.40 (step @p301 :rule reordering :premises (@p300) :args ((or @t96 @t188))) % 16.10/16.40 (step @p302 :rule nary_cong :premises (@p292 @p62) :args (@t49)) % 16.10/16.40 (step @p303 :rule eq_resolve :premises (@p27 @p302)) % 16.10/16.40 (step @p304 :rule reordering :premises (@p303) :args ((or @t97 @t188))) % 16.10/16.40 (step @p305 :rule instantiate :premises (@p172) :args (@t187)) % 16.10/16.40 (step @p306 :rule instantiate :premises (@p177) :args (@t187)) % 16.10/16.40 (step @p307 :rule instantiate :premises 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% 16.10/16.40 (assume-push @p868 @t192) % 16.10/16.40 (assume-push @p869 @t91) % 16.10/16.40 (assume-push @p870 @t198) % 16.10/16.40 (assume-push @p871 @t190) % 16.10/16.40 (assume-push @p872 @t184) % 16.10/16.40 (assume-push @p873 @t95) % 16.10/16.40 (assume-push @p874 @t196) % 16.10/16.40 (assume-push @p875 @t97) % 16.10/16.40 (step @p338 :rule symm :premises (@p849)) % 16.10/16.40 (step @p339 :rule symm :premises (@p848)) % 16.10/16.40 (step @p215 :rule refl :args (tptp.sk_c9)) % 16.10/16.40 (step @p340 :rule symm :premises (@p305)) % 16.10/16.40 (step @p341 :rule refl :args (tptp.sk_c1)) % 16.10/16.40 (step @p218 :rule symm :premises (@p173)) % 16.10/16.40 (step @p342 :rule cong :premises (@p218 @p341) :args (@t199)) % 16.10/16.40 (step @p343 :rule cong :premises (@p173 @p340) :args (@t200)) % 16.10/16.40 (step @p221 :rule symm :premises (@p178)) % 16.10/16.40 (step @p344 :rule cong :premises (@p221 @p305) :args (@t197)) % 16.10/16.40 (step @p345 :rule symm :premises (@p309)) % 16.10/16.40 (step @p346 :rule symm :premises (@p852)) % 16.10/16.40 (step @p347 :rule cong :premises (@p346 @p341) :args (@t191)) % 16.10/16.40 (step @p348 :rule trans :premises (@p306 @p347)) % 16.10/16.40 (step @p227 :rule refl :args (@t162)) % 16.10/16.40 (step @p349 :rule cong :premises (@p227 @p348) :args (@t179)) % 16.10/16.40 (step @p350 :rule trans :premises (@p349 @p345 @p344 @p343 @p342 @p340)) % 16.10/16.40 (step @p351 :rule cong :premises (@p350 @p215) :args (@t180)) % 16.10/16.40 (step @p231 :rule symm :premises (@p184)) % 16.10/16.40 (step @p232 :rule cong :premises (@p227 @p174) :args (@t167)) % 16.10/16.40 (step @p352 :rule trans :premises (@p178 @p232 @p231 @p351 @p339)) % 16.10/16.40 (step @p353 :rule symm :premises (@p307)) % 16.10/16.40 (step @p354 :rule refl :args (tptp.sk_c5)) % 16.10/16.40 (step @p355 :rule cong :premises (@p218 @p354) :args ((tptp.multiply @t163 tptp.sk_c5))) % 16.10/16.40 (step @p356 :rule cong :premises (@p173 @p353) :args ((tptp.multiply 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process_scope :premises (@p905) :args (@t205)) % 16.10/16.40 (step @p408 :rule implies_elim :premises (@p406)) % 16.10/16.40 (step @p409 :rule eq-symm :args (@t54 tptp.sk_c9)) % 16.10/16.40 (step @p410 :rule nary_cong :premises (@p409 @p58) :args (@t56)) % 16.10/16.40 (step @p411 :rule eq_resolve :premises (@p38 @p410)) % 16.10/16.40 (step @p412 :rule reordering :premises (@p411) :args ((or @t96 @t207))) % 16.10/16.40 (step @p413 :rule nary_cong :premises (@p409 @p62) :args (@t57)) % 16.10/16.40 (step @p414 :rule eq_resolve :premises (@p39 @p413)) % 16.10/16.40 (step @p415 :rule reordering :premises (@p414) :args ((or @t97 @t207))) % 16.10/16.40 (step @p416 :rule instantiate :premises (@p172) :args (@t206)) % 16.10/16.40 (step @p417 :rule instantiate :premises (@p177) :args (@t206)) % 16.10/16.40 (assume-push @p906 @t184) % 16.10/16.40 (assume-push @p907 @t97) % 16.10/16.40 (assume-push @p908 @t91) % 16.10/16.40 (assume-push @p909 @t203) % 16.10/16.40 (assume-push @p910 @t188) % 16.10/16.40 (assume-push @p911 @t164) % 16.10/16.40 (assume-push @p912 @t190) % 16.10/16.40 (assume-push @p913 @t192) % 16.10/16.40 (assume-push @p914 @t166) % 16.10/16.40 (assume-push @p915 @t168) % 16.10/16.40 (assume-push @p916 @t209) % 16.10/16.40 (assume-push @p917 @t211) % 16.10/16.40 (assume-push @p918 @t198) % 16.10/16.40 (assume-push @p919 @t181) % 16.10/16.40 (assume-push @p920 @t203) % 16.10/16.40 (assume-push @p921 @t209) % 16.10/16.40 (assume-push @p922 @t164) % 16.10/16.40 (assume-push @p923 @t168) % 16.10/16.40 (assume-push @p924 @t166) % 16.10/16.40 (assume-push @p925 @t181) % 16.10/16.40 (assume-push @p926 @t192) % 16.10/16.40 (assume-push @p927 @t91) % 16.10/16.40 (assume-push @p928 @t198) % 16.10/16.40 (assume-push @p929 @t190) % 16.10/16.40 (assume-push @p930 @t184) % 16.10/16.40 (assume-push @p931 @t188) % 16.10/16.40 (assume-push @p932 @t211) % 16.10/16.40 (assume-push @p933 @t97) % 16.10/16.40 (step @p446 :rule symm :premises (@p909)) % 16.10/16.40 (step @p447 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(@p670)) % 16.10/16.40 (step-pop @p1045 :rule scope :premises (@p1044)) % 16.10/16.40 (step-pop @p1046 :rule scope :premises (@p1045)) % 16.10/16.40 (step-pop @p1047 :rule scope :premises (@p1046)) % 16.10/16.40 (step-pop @p1048 :rule scope :premises (@p1047)) % 16.10/16.40 (step-pop @p1049 :rule scope :premises (@p1048)) % 16.10/16.40 (step-pop @p1050 :rule scope :premises (@p1049)) % 16.10/16.40 (step-pop @p1051 :rule scope :premises (@p1050)) % 16.10/16.40 (step-pop @p1052 :rule scope :premises (@p1051)) % 16.10/16.40 (step-pop @p1053 :rule scope :premises (@p1052)) % 16.10/16.40 (step-pop @p1054 :rule scope :premises (@p1053)) % 16.10/16.40 (step-pop @p1055 :rule scope :premises (@p1054)) % 16.10/16.40 (step-pop @p1056 :rule scope :premises (@p1055)) % 16.10/16.40 (step-pop @p1057 :rule scope :premises (@p1056)) % 16.10/16.40 (step-pop @p1058 :rule scope :premises (@p1057)) % 16.10/16.40 (step-pop @p1059 :rule scope :premises (@p1058)) % 16.10/16.40 (step-pop @p1060 :rule scope :premises (@p1059)) % 16.10/16.40 (step-pop @p1061 :rule scope :premises (@p1060)) % 16.10/16.40 (step-pop @p1062 :rule scope :premises (@p1061)) % 16.10/16.40 (step @p671 :rule process_scope :premises (@p1062) :args (@t233)) % 16.10/16.40 (step @p691 :rule and_intro :premises (@p1006 @p305 @p173 @p178 @p309 @p1007 @p306 @p184 @p174 @p597 @p596 @p1010 @p598 @p595 @p417 @p1009 @p416 @p1008 @p1011)) % 16.10/16.40 (step @p692 :rule modus_ponens :premises (@p691 @p671)) % 16.10/16.40 (step-pop @p1063 :rule scope :premises (@p692)) % 16.10/16.40 (step-pop @p1064 :rule scope :premises (@p1063)) % 16.10/16.40 (step-pop @p1065 :rule scope :premises (@p1064)) % 16.10/16.40 (step-pop @p1066 :rule scope :premises (@p1065)) % 16.10/16.40 (step-pop @p1067 :rule scope :premises (@p1066)) % 16.10/16.40 (step-pop @p1068 :rule scope :premises (@p1067)) % 16.10/16.40 (step-pop @p1069 :rule scope :premises (@p1068)) % 16.10/16.40 (step-pop @p1070 :rule scope :premises (@p1069)) % 16.10/16.40 (step-pop @p1071 :rule scope :premises (@p1070)) % 16.10/16.40 (step-pop @p1072 :rule scope :premises (@p1071)) % 16.10/16.40 (step-pop @p1073 :rule scope :premises (@p1072)) % 16.10/16.40 (step-pop @p1074 :rule scope :premises (@p1073)) % 16.10/16.40 (step-pop @p1075 :rule scope :premises (@p1074)) % 16.10/16.40 (step-pop @p1076 :rule scope :premises (@p1075)) % 16.10/16.40 (step-pop @p1077 :rule scope :premises (@p1076)) % 16.10/16.40 (step-pop @p1078 :rule scope :premises (@p1077)) % 16.10/16.40 (step-pop @p1079 :rule scope :premises (@p1078)) % 16.10/16.40 (step-pop @p1080 :rule scope :premises (@p1079)) % 16.10/16.40 (step-pop @p1081 :rule scope :premises (@p1080)) % 16.10/16.40 (step @p693 :rule process_scope :premises (@p1081) :args (@t233)) % 16.10/16.40 (step @p713 :rule implies_elim :premises (@p693)) % 16.10/16.40 (step @p714 :rule cnf_and_neg :args (@t245)) % 16.10/16.40 (step @p715 :rule resolution :premises (@p714 @p713) :args (true @t245)) % 16.10/16.40 (step @p716 :rule reordering :premises (@p715) :args ((or @t185 @t183 @t204 @t202 @t230 @t228 @t227 @t226 @t225 (not @t166) @t224 (not @t209) (not @t211) (not @t238) (not @t239) (not @t241) @t233 @t223 (not @t244) (not @t181)))) % 16.10/16.40 (step @p717 :rule chain_m_resolution :premises (@p716 @p184 @p598 @p309 @p597 @p596 @p595 @p417 @p416 @p178 @p174 @p306 @p305 @p173 @p594 @p592 @p151 @p587 @p582 @p81 @p408 @p403 @p110 @p291 @p286 @p580 @p528 @p524 @p172 @p520 @p516 @p177 @p512 @p508 @p3) :args ((or @t185 @t183 @t204 @t202 @t230 @t228) (@list false false false false false false false false false false false false false true false false true true true true true true true true false false false false false false false false false false) (@list @t181 @t244 @t198 @t241 @t239 @t238 @t211 @t209 @t168 @t166 @t192 @t190 @t164 @t233 @t236 @t114 @t153 @t231 @t145 @t109 @t205 @t149 @t132 @t186 @t221 @t164 @t190 @t219 @t192 @t168 @t218 @t198 @t217 @t9))) % 16.10/16.40 (step @p718 :rule eq-symm :args (@t50 tptp.sk_c9)) % 16.10/16.40 (step @p719 :rule nary_cong :premises (@p718 @p58) :args (@t52)) % 16.10/16.40 (step @p720 :rule eq_resolve :premises (@p32 @p719)) % 16.10/16.40 (step @p721 :rule reordering :premises (@p720) :args ((or @t96 @t229))) % 16.10/16.40 (step @p722 :rule nary_cong :premises (@p718 @p62) :args (@t53)) % 16.10/16.40 (step @p723 :rule eq_resolve :premises (@p33 @p722)) % 16.10/16.40 (step @p724 :rule reordering :premises (@p723) :args ((or @t97 @t229))) % 16.10/16.40 (step @p725 :rule chain_m_resolution :premises (@p167 @p151 @p169 @p79 @p502 @p184 @p309 @p417 @p416 @p178 @p174 @p306 @p305 @p173 @p69 @p724 @p721 @p717 @p503 @p81 @p408 @p403 @p110 @p291 @p286) :args ((or @t185 @t183 @t204 @t202) (@list false true true false false false false false false false false false false true false false true false true true true true true true) (@list @t153 @t158 @t114 @t156 @t181 @t198 @t211 @t209 @t168 @t166 @t192 @t190 @t164 @t104 @t97 @t96 @t229 @t207 @t145 @t109 @t205 @t149 @t132 @t186))) % 16.10/16.40 (step @p726 :rule eq-symm :args (@t38 tptp.sk_c7)) % 16.10/16.40 (step @p727 :rule nary_cong :premises (@p726 @p50) :args (@t40)) % 16.10/16.40 (step @p728 :rule eq_resolve :premises (@p18 @p727)) % 16.10/16.40 (step @p729 :rule reordering :premises (@p728) :args ((or @t94 @t203))) % 16.10/16.40 (step @p730 :rule nary_cong :premises (@p726 @p54) :args (@t41)) % 16.10/16.40 (step @p731 :rule eq_resolve :premises (@p19 @p730)) % 16.10/16.40 (step @p732 :rule reordering :premises (@p731) :args ((or @t95 @t203))) % 16.10/16.40 (step @p733 :rule nary_cong :premises (@p726 @p58) :args (@t42)) % 16.10/16.40 (step @p734 :rule eq_resolve :premises (@p20 @p733)) % 16.10/16.40 (step @p735 :rule reordering :premises (@p734) :args ((or @t96 @t203))) % 16.10/16.40 (step @p736 :rule nary_cong :premises (@p726 @p62) :args (@t43)) % 16.10/16.40 (step @p737 :rule eq_resolve :premises (@p21 @p736)) % 16.10/16.40 (step @p738 :rule reordering :premises (@p737) :args ((or @t97 @t203))) % 16.10/16.40 (step @p739 :rule chain_m_resolution :premises (@p151 @p167 @p81 @p169 @p79 @p74 @p400 @p184 @p309 @p308 @p307 @p178 @p174 @p306 @p305 @p173 @p69 @p67 @p738 @p735 @p732 @p729 @p725 @p401 @p110 @p291 @p286) :args (@t186 (@list true true true true true false false false false false false false false false false true true false false false false true false true true true) (@list @t153 @t145 @t158 @t114 @t109 @t156 @t181 @t198 @t196 @t194 @t168 @t166 @t192 @t190 @t164 @t104 @t100 @t97 @t96 @t95 @t94 @t203 @t188 @t149 @t132 @t186))) % 16.10/16.40 (step @p740 :rule chain_m_resolution :premises (@p739 @p284) :args (@t185 @t246 (@list @t91))) % 16.10/16.40 (step @p741 :rule eq-symm :args (@t12 tptp.sk_c8)) % 16.10/16.40 (step @p742 :rule nary_cong :premises (@p741 @p58) :args (@t26)) % 16.10/16.40 (step @p743 :rule eq_resolve :premises (@p8 @p742)) % 16.10/16.40 (step @p744 :rule chain_m_resolution :premises (@p743 @p740) :args (@t96 @t247 @t248)) % 16.10/16.40 (step @p745 :rule nary_cong :premises (@p741 @p54) :args (@t23)) % 16.10/16.40 (step @p746 :rule eq_resolve :premises (@p7 @p745)) % 16.10/16.40 (step @p747 :rule chain_m_resolution :premises (@p746 @p740) :args (@t95 @t247 @t248)) % 16.10/16.40 (step @p748 :rule nary_cong :premises (@p741 @p50) :args (@t20)) % 16.10/16.40 (step @p749 :rule eq_resolve :premises (@p6 @p748)) % 16.10/16.40 (step @p750 :rule chain_m_resolution :premises (@p749 @p740) :args (@t94 @t247 @t248)) % 16.10/16.40 (step @p751 :rule chain_m_resolution :premises (@p67 @p750 @p747) :args (@t101 @t249 (@list @t94 @t95))) % 16.10/16.40 (step @p752 :rule chain_m_resolution :premises (@p74 @p751) :args (@t124 @t247 (@list @t100))) % 16.10/16.40 (step @p753 :rule chain_m_resolution :premises (@p90 @p752) :args (@t123 @t247 @t250)) % 16.10/16.40 (step @p754 :rule chain_m_resolution :premises (@p101 @p753) :args (@t118 @t247 @t251)) % 16.10/16.40 (step @p755 :rule chain_m_resolution :premises (@p96 @p753) :args (@t120 @t247 @t251)) % 16.10/16.40 (step @p756 :rule nary_cong :premises (@p741 @p46) :args (@t17)) % 16.10/16.40 (step @p757 :rule eq_resolve :premises (@p5 @p756)) % 16.10/16.40 (step @p758 :rule chain_m_resolution :premises (@p757 @p740) :args (@t93 @t247 @t248)) % 16.10/16.40 (step @p759 :rule nary_cong :premises (@p741 @p41) :args (@t14)) % 16.10/16.40 (step @p760 :rule eq_resolve :premises (@p4 @p759)) % 16.10/16.40 (step @p761 :rule chain_m_resolution :premises (@p760 @p740) :args (@t92 @t247 @t248)) % 16.10/16.40 (step @p762 :rule chain_m_resolution :premises (@p103 @p761 @p758) :args (@t128 @t249 (@list @t92 @t93))) % 16.10/16.40 (step @p763 :rule chain_m_resolution :premises (@p108 @p762) :args (@t141 @t247 (@list @t127))) % 16.10/16.40 (step @p764 :rule chain_m_resolution :premises (@p119 @p763) :args (@t140 @t247 @t252)) % 16.10/16.40 (step @p765 :rule chain_m_resolution :premises (@p162 @p764) :args (@t135 @t247 @t253)) % 16.10/16.40 (step @p766 :rule chain_m_resolution :premises (@p157 @p764) :args (@t137 @t247 @t253)) % 16.10/16.40 (step @p767 :rule nary_cong :premises (@p741 @p62) :args (@t29)) % 16.10/16.40 (step @p768 :rule eq_resolve :premises (@p9 @p767)) % 16.10/16.40 (step @p769 :rule chain_m_resolution :premises (@p768 @p740) :args (@t97 @t247 @t248)) % 16.10/16.40 (step @p770 :rule chain_m_resolution :premises (@p283 @p769 @p766 @p765 @p755 @p754 @p173 @p174 @p178 @p179 @p180 @p181 @p182 @p183 @p184) :args (@t156 (@list false false false false false false false false false false false false false false) (@list @t97 @t137 @t135 @t120 @t118 @t164 @t166 @t168 @t170 @t172 @t174 @t176 @t178 @t181))) % 16.10/16.40 (step @p771 :rule chain_m_resolution :premises (@p69 @p744 @p769) :args (@t105 @t249 (@list @t96 @t97))) % 16.10/16.40 (step @p772 :rule chain_m_resolution :premises (@p79 @p771) :args ((not @t114) @t247 (@list @t104))) % 16.10/16.40 (step @p773 :rule chain_m_resolution :premises (@p81 @p752) :args ((not @t145) @t247 @t250)) % 16.10/16.40 (step @p774 :rule chain_m_resolution :premises (@p110 @p763) :args ((not @t149) @t247 @t252)) % 16.10/16.40 (step @p775 :rule chain_m_resolution :premises (@p151 @p763 @p752 @p774 @p773 @p772) :args (@t153 (@list true true true true true) (@list @t132 @t109 @t149 @t145 @t114))) % 16.10/16.40 (step @p776 :rule chain_m_resolution :premises (@p167 @p775) :args (@t158 @t246 (@list @t153))) % 16.10/16.40 (step @p777 false :rule chain_m_resolution :premises (@p169 @p776 @p770 @p744) :args (false (@list false false false) (@list @t158 @t156 @t96))) % 16.10/16.40 ) % 16.10/16.40 % SZS output end Proof % 16.10/16.40 % cvc5 exiting %------------------------------------------------------------------------------