%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP307-1 : 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 : n016.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 08:20:27 AM UTC 2026 % Result : Unsatisfiable 15.92s 16.18s % Output : Proof 15.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP307-1 : 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 : n016.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 01:01:54 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/16.07 --- Run --no-e-matching --full-saturate-quant at 6... % 15.92/16.18 % SZS status Unsatisfiable % 15.92/16.18 % SZS output start Proof % 15.92/16.20 ( % 15.92/16.20 (declare-sort $$unsorted 0) % 15.92/16.20 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.92/16.20 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.92/16.20 (declare-const tptp.identity $$unsorted) % 15.92/16.20 (declare-const tptp.sk_c4 $$unsorted) % 15.92/16.20 (declare-const tptp.sk_c11 $$unsorted) % 15.92/16.20 (declare-const tptp.sk_c2 $$unsorted) % 15.92/16.20 (declare-const tptp.sk_c3 $$unsorted) % 15.92/16.20 (declare-const tptp.sk_c1 $$unsorted) % 15.92/16.20 (declare-const tptp.sk_c8 $$unsorted) % 15.92/16.20 (declare-const tptp.sk_c5 $$unsorted) % 15.92/16.20 (declare-const tptp.sk_c9 $$unsorted) % 15.92/16.20 (declare-const tptp.sk_c6 $$unsorted) % 15.92/16.20 (declare-const tptp.sk_c10 $$unsorted) % 15.92/16.20 (declare-const tptp.sk_c7 $$unsorted) % 15.92/16.20 (define @t1 () (@var "X" $$unsorted)) % 15.92/16.20 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.92/16.20 (define @t3 () (@list @t1)) % 15.92/16.20 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.92/16.20 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.92/16.20 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.92/16.20 (define @t7 () (@var "Z" $$unsorted)) % 15.92/16.20 (define @t8 () (@var "Y" $$unsorted)) % 15.92/16.20 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.92/16.20 (define @t10 () (tptp.multiply tptp.sk_c3 tptp.sk_c11)) % 15.92/16.20 (define @t11 () (= @t10 tptp.sk_c10)) % 15.92/16.20 (define @t12 () (tptp.multiply tptp.sk_c11 tptp.sk_c10)) % 15.92/16.20 (define @t13 () (= @t12 tptp.sk_c9)) % 15.92/16.20 (define @t14 () (or @t13 @t11)) % 15.92/16.20 (define @t15 () (tptp.inverse tptp.sk_c3)) % 15.92/16.20 (define @t16 () (= @t15 tptp.sk_c11)) % 15.92/16.20 (define @t17 () (or @t13 @t16)) % 15.92/16.20 (define @t18 () (tptp.multiply tptp.sk_c4 tptp.sk_c10)) % 15.92/16.20 (define @t19 () (= @t18 tptp.sk_c9)) % 15.92/16.20 (define @t20 () (or @t13 @t19)) % 15.92/16.20 (define @t21 () (tptp.inverse tptp.sk_c4)) % 15.92/16.20 (define @t22 () (= @t21 tptp.sk_c10)) % 15.92/16.20 (define @t23 () (or @t13 @t22)) % 15.92/16.20 (define @t24 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 15.92/16.20 (define @t25 () (= @t24 tptp.sk_c11)) % 15.92/16.20 (define @t26 () (or @t13 @t25)) % 15.92/16.20 (define @t27 () (tptp.inverse tptp.sk_c5)) % 15.92/16.20 (define @t28 () (= @t27 tptp.sk_c8)) % 15.92/16.20 (define @t29 () (or @t13 @t28)) % 15.92/16.20 (define @t30 () (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)) % 15.92/16.20 (define @t31 () (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)) % 15.92/16.20 (define @t32 () (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)) % 15.92/16.20 (define @t33 () (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) % 15.92/16.20 (define @t34 () (tptp.inverse tptp.sk_c11)) % 15.92/16.20 (define @t35 () (= @t34 tptp.sk_c9)) % 15.92/16.20 (define @t36 () (or @t35 @t11)) % 15.92/16.20 (define @t37 () (or @t35 @t16)) % 15.92/16.20 (define @t38 () (or @t35 @t19)) % 15.92/16.20 (define @t39 () (or @t35 @t22)) % 15.92/16.20 (define @t40 () (tptp.multiply tptp.sk_c9 tptp.sk_c10)) % 15.92/16.20 (define @t41 () (= @t40 tptp.sk_c11)) % 15.92/16.20 (define @t42 () (or @t41 @t11)) % 15.92/16.20 (define @t43 () (or @t41 @t16)) % 15.92/16.20 (define @t44 () (tptp.multiply tptp.sk_c11 tptp.sk_c2)) % 15.92/16.20 (define @t45 () (= @t44 tptp.sk_c10)) % 15.92/16.20 (define @t46 () (or @t45 @t11)) % 15.92/16.20 (define @t47 () (or @t45 @t16)) % 15.92/16.20 (define @t48 () (or @t45 @t19)) % 15.92/16.20 (define @t49 () (or @t45 @t22)) % 15.92/16.20 (define @t50 () (tptp.multiply tptp.sk_c1 tptp.sk_c11)) % 15.92/16.20 (define @t51 () (= @t50 tptp.sk_c2)) % 15.92/16.20 (define @t52 () (or @t51 @t11)) % 15.92/16.20 (define @t53 () (or @t51 @t16)) % 15.92/16.20 (define @t54 () (or @t51 @t19)) % 15.92/16.20 (define @t55 () (or @t51 @t22)) % 15.92/16.20 (define @t56 () (tptp.inverse tptp.sk_c1)) % 15.92/16.20 (define @t57 () (= @t56 tptp.sk_c11)) % 15.92/16.20 (define @t58 () (or @t57 @t11)) % 15.92/16.20 (define @t59 () (or @t57 @t16)) % 15.92/16.20 (define @t60 () (or @t57 @t19)) % 15.92/16.20 (define @t61 () (or @t57 @t22)) % 15.92/16.20 (define @t62 () (@var "X8" $$unsorted)) % 15.92/16.20 (define @t63 () (@var "X6" $$unsorted)) % 15.92/16.20 (define @t64 () (@var "X7" $$unsorted)) % 15.92/16.20 (define @t65 () (tptp.multiply @t64 @t63)) % 15.92/16.20 (define @t66 () (not (= @t65 @t62))) % 15.92/16.20 (define @t67 () (tptp.inverse @t62)) % 15.92/16.20 (define @t68 () (not (= @t67 @t63))) % 15.92/16.20 (define @t69 () (tptp.inverse @t64)) % 15.92/16.20 (define @t70 () (not (= @t69 @t62))) % 15.92/16.20 (define @t71 () (tptp.multiply @t63 tptp.sk_c10)) % 15.92/16.20 (define @t72 () (not (= @t71 tptp.sk_c11))) % 15.92/16.20 (define @t73 () (@var "X5" $$unsorted)) % 15.92/16.20 (define @t74 () (tptp.inverse @t73)) % 15.92/16.20 (define @t75 () (not (= @t74 @t63))) % 15.92/16.20 (define @t76 () (tptp.multiply @t73 @t63)) % 15.92/16.20 (define @t77 () (not (= @t76 tptp.sk_c11))) % 15.92/16.20 (define @t78 () (@var "X2" $$unsorted)) % 15.92/16.20 (define @t79 () (tptp.inverse @t78)) % 15.92/16.20 (define @t80 () (not (= @t79 tptp.sk_c10))) % 15.92/16.20 (define @t81 () (tptp.multiply @t78 tptp.sk_c10)) % 15.92/16.20 (define @t82 () (not (= @t81 tptp.sk_c9))) % 15.92/16.20 (define @t83 () (@var "X1" $$unsorted)) % 15.92/16.20 (define @t84 () (tptp.inverse @t83)) % 15.92/16.20 (define @t85 () (not (= @t84 tptp.sk_c11))) % 15.92/16.20 (define @t86 () (tptp.multiply @t83 tptp.sk_c11)) % 15.92/16.20 (define @t87 () (not (= @t86 tptp.sk_c10))) % 15.92/16.20 (define @t88 () (@var "X4" $$unsorted)) % 15.92/16.20 (define @t89 () (tptp.inverse @t88)) % 15.92/16.20 (define @t90 () (not (= @t89 tptp.sk_c11))) % 15.92/16.20 (define @t91 () (@var "X3" $$unsorted)) % 15.92/16.20 (define @t92 () (tptp.multiply @t88 tptp.sk_c11)) % 15.92/16.20 (define @t93 () (not (= @t92 @t91))) % 15.92/16.20 (define @t94 () (tptp.multiply tptp.sk_c11 @t91)) % 15.92/16.20 (define @t95 () (not (= @t94 tptp.sk_c10))) % 15.92/16.20 (define @t96 () (not @t41)) % 15.92/16.20 (define @t97 () (not @t35)) % 15.92/16.20 (define @t98 () (not @t13)) % 15.92/16.20 (define @t99 () (or @t98 @t97 @t96 @t95 @t93 @t90 @t87 @t85 @t82 @t80 @t77 @t75 @t72 @t70 @t68 @t66)) % 15.92/16.20 (define @t100 () (@list @t91 @t88 @t83 @t78 @t73 @t63 @t64 @t62)) % 15.92/16.20 (define @t101 () (forall @t100 @t99)) % 15.92/16.20 (define @t102 () (@list tptp.sk_c11)) % 15.92/16.20 (define @t103 () (@list tptp.sk_c3)) % 15.92/16.20 (define @t104 () (@list tptp.sk_c4)) % 15.92/16.20 (define @t105 () (@list tptp.sk_c8)) % 15.92/16.20 (define @t106 () (tptp.inverse tptp.sk_c8)) % 15.92/16.20 (define @t107 () (= tptp.sk_c9 @t34)) % 15.92/16.20 (define @t108 () (= tptp.sk_c11 @t40)) % 15.92/16.20 (define @t109 () (tptp.multiply @t34 tptp.sk_c10)) % 15.92/16.20 (define @t110 () (= tptp.sk_c11 @t109)) % 15.92/16.20 (define @t111 () (and @t107 @t108)) % 15.92/16.20 (define @t112 () (= tptp.sk_c11 @t56)) % 15.92/16.20 (define @t113 () (= tptp.sk_c10 @t10)) % 15.92/16.20 (define @t114 () (= tptp.sk_c11 @t15)) % 15.92/16.20 (define @t115 () (= tptp.sk_c9 @t18)) % 15.92/16.20 (define @t116 () (= tptp.sk_c10 @t21)) % 15.92/16.20 (define @t117 () (not @t114)) % 15.92/16.20 (define @t118 () (not @t113)) % 15.92/16.20 (define @t119 () (or @t118 @t117)) % 15.92/16.20 (define @t120 () (not (= tptp.sk_c11 @t84))) % 15.92/16.20 (define @t121 () (not (= tptp.sk_c10 @t86))) % 15.92/16.20 (define @t122 () (or @t121 @t120)) % 15.92/16.20 (define @t123 () (forall (@list @t83) @t122)) % 15.92/16.20 (define @t124 () (tptp.multiply tptp.sk_c10 tptp.sk_c10)) % 15.92/16.20 (define @t125 () (= tptp.sk_c9 @t12)) % 15.92/16.20 (define @t126 () (= tptp.sk_c10 @t44)) % 15.92/16.20 (define @t127 () (tptp.multiply tptp.identity tptp.sk_c11)) % 15.92/16.20 (define @t128 () (= tptp.sk_c11 @t127)) % 15.92/16.20 (define @t129 () (tptp.multiply tptp.identity tptp.sk_c10)) % 15.92/16.20 (define @t130 () (= tptp.sk_c10 @t129)) % 15.92/16.20 (define @t131 () (tptp.multiply @t34 tptp.sk_c11)) % 15.92/16.20 (define @t132 () (= tptp.identity @t131)) % 15.92/16.20 (define @t133 () (tptp.multiply @t15 tptp.sk_c3)) % 15.92/16.20 (define @t134 () (= tptp.identity @t133)) % 15.92/16.20 (define @t135 () (tptp.multiply tptp.identity @t124)) % 15.92/16.20 (define @t136 () (tptp.multiply @t129 tptp.sk_c10)) % 15.92/16.20 (define @t137 () (= @t136 @t135)) % 15.92/16.20 (define @t138 () (tptp.multiply tptp.sk_c11 @t129)) % 15.92/16.20 (define @t139 () (tptp.multiply tptp.sk_c11 tptp.identity)) % 15.92/16.20 (define @t140 () (tptp.multiply @t139 tptp.sk_c10)) % 15.92/16.20 (define @t141 () (= @t140 @t138)) % 15.92/16.20 (define @t142 () (tptp.multiply tptp.sk_c11 @t124)) % 15.92/16.20 (define @t143 () (tptp.multiply @t12 tptp.sk_c10)) % 15.92/16.20 (define @t144 () (= @t143 @t142)) % 15.92/16.20 (define @t145 () (tptp.multiply tptp.identity tptp.sk_c2)) % 15.92/16.20 (define @t146 () (= tptp.sk_c2 @t145)) % 15.92/16.20 (define @t147 () (tptp.multiply @t34 @t44)) % 15.92/16.20 (define @t148 () (tptp.multiply @t131 tptp.sk_c2)) % 15.92/16.20 (define @t149 () (= @t148 @t147)) % 15.92/16.20 (define @t150 () (tptp.multiply @t34 @t142)) % 15.92/16.20 (define @t151 () (tptp.multiply @t131 @t124)) % 15.92/16.20 (define @t152 () (= @t151 @t150)) % 15.92/16.20 (define @t153 () (tptp.multiply @t15 @t10)) % 15.92/16.20 (define @t154 () (tptp.multiply @t133 tptp.sk_c11)) % 15.92/16.20 (define @t155 () (= @t154 @t153)) % 15.92/16.20 (define @t156 () (tptp.multiply tptp.sk_c11 tptp.sk_c11)) % 15.92/16.20 (define @t157 () (tptp.multiply tptp.sk_c11 @t156)) % 15.92/16.20 (define @t158 () (= @t34 (tptp.inverse @t34))) % 15.92/16.20 (define @t159 () (and @t125 @t113 @t114 @t107 @t108 @t126 @t128 @t130 @t132 @t134 @t137 @t141 @t144 @t146 @t149 @t152 @t155)) % 15.92/16.20 (define @t160 () (not @t155)) % 15.92/16.20 (define @t161 () (not @t152)) % 15.92/16.20 (define @t162 () (not @t149)) % 15.92/16.20 (define @t163 () (not @t146)) % 15.92/16.20 (define @t164 () (not @t144)) % 15.92/16.20 (define @t165 () (not @t141)) % 15.92/16.20 (define @t166 () (not @t137)) % 15.92/16.20 (define @t167 () (not @t134)) % 15.92/16.20 (define @t168 () (not @t132)) % 15.92/16.20 (define @t169 () (not @t130)) % 15.92/16.20 (define @t170 () (not @t128)) % 15.92/16.20 (define @t171 () (not @t126)) % 15.92/16.20 (define @t172 () (not @t108)) % 15.92/16.20 (define @t173 () (not @t107)) % 15.92/16.20 (define @t174 () (not @t125)) % 15.92/16.20 (define @t175 () (tptp.multiply tptp.identity tptp.identity)) % 15.92/16.20 (define @t176 () (= tptp.identity @t175)) % 15.92/16.20 (define @t177 () (tptp.multiply tptp.identity tptp.sk_c4)) % 15.92/16.20 (define @t178 () (= tptp.sk_c4 @t177)) % 15.92/16.20 (define @t179 () (tptp.multiply @t21 tptp.sk_c4)) % 15.92/16.21 (define @t180 () (= tptp.identity @t179)) % 15.92/16.21 (define @t181 () (tptp.multiply @t156 tptp.sk_c11)) % 15.92/16.21 (define @t182 () (= @t181 @t157)) % 15.92/16.21 (define @t183 () (tptp.multiply tptp.sk_c11 @t12)) % 15.92/16.21 (define @t184 () (= (tptp.multiply @t156 tptp.sk_c10) @t183)) % 15.92/16.21 (define @t185 () (tptp.multiply tptp.sk_c10 tptp.sk_c11)) % 15.92/16.21 (define @t186 () (tptp.multiply tptp.sk_c11 @t185)) % 15.92/16.21 (define @t187 () (tptp.multiply @t12 tptp.sk_c11)) % 15.92/16.21 (define @t188 () (= @t187 @t186)) % 15.92/16.21 (define @t189 () (tptp.multiply @t124 tptp.sk_c4)) % 15.92/16.21 (define @t190 () (tptp.multiply tptp.sk_c11 @t34)) % 15.92/16.21 (define @t191 () (= tptp.sk_c11 @t190)) % 15.92/16.21 (define @t192 () (and @t125 @t113 @t114 @t115 @t116 @t107 @t108 @t126 @t176 @t128 @t130 @t132 @t178 @t134 @t180 @t182 @t137 @t141 @t184 @t188 @t144 @t146 @t149 @t152 @t155)) % 15.92/16.21 (define @t193 () (not @t188)) % 15.92/16.21 (define @t194 () (not @t184)) % 15.92/16.21 (define @t195 () (not @t182)) % 15.92/16.21 (define @t196 () (not @t180)) % 15.92/16.21 (define @t197 () (not @t178)) % 15.92/16.21 (define @t198 () (not @t176)) % 15.92/16.21 (define @t199 () (not @t116)) % 15.92/16.21 (define @t200 () (not @t115)) % 15.92/16.21 (define @t201 () (= tptp.sk_c11 @t34)) % 15.92/16.21 (define @t202 () (= @t34 @t190)) % 15.92/16.21 (define @t203 () (= tptp.sk_c11 @t21)) % 15.92/16.21 (define @t204 () (= tptp.sk_c10 @t34)) % 15.92/16.21 (define @t205 () (and @t125 @t113 @t114 @t115 @t116 @t107 @t108 @t126 @t176 @t128 @t130 @t132 @t178 @t134 @t180 @t182 @t137 @t141 @t188 @t144 @t146 @t149 @t152 @t155)) % 15.92/16.21 (define @t206 () (tptp.multiply tptp.sk_c11 @t10)) % 15.92/16.21 (define @t207 () (= tptp.sk_c10 @t206)) % 15.92/16.21 (define @t208 () (not @t202)) % 15.92/16.21 (define @t209 () (not @t158)) % 15.92/16.21 (define @t210 () (not @t110)) % 15.92/16.21 (define @t211 () (not @t191)) % 15.92/16.21 (define @t212 () (or @t211 @t210 @t209 @t208)) % 15.92/16.21 (define @t213 () (not @t204)) % 15.92/16.21 (define @t214 () (or @t174 @t213)) % 15.92/16.21 (define @t215 () (not @t207)) % 15.92/16.21 (define @t216 () (or @t215 @t117)) % 15.92/16.21 (define @t217 () (tptp.multiply @t64 @t74)) % 15.92/16.21 (define @t218 () (not (= @t69 @t217))) % 15.92/16.21 (define @t219 () (not (= @t74 (tptp.inverse @t69)))) % 15.92/16.21 (define @t220 () (not (= tptp.sk_c11 (tptp.multiply @t74 tptp.sk_c10)))) % 15.92/16.21 (define @t221 () (not (= tptp.sk_c11 (tptp.multiply @t73 @t74)))) % 15.92/16.21 (define @t222 () (or @t221 @t220 @t219 @t218)) % 15.92/16.21 (define @t223 () (@list @t73 @t64)) % 15.92/16.21 (define @t224 () (forall @t223 @t222)) % 15.92/16.21 (define @t225 () (not (= tptp.sk_c10 @t79))) % 15.92/16.21 (define @t226 () (not (= tptp.sk_c9 @t81))) % 15.92/16.21 (define @t227 () (or @t226 @t225)) % 15.92/16.21 (define @t228 () (forall (@list @t78) @t227)) % 15.92/16.21 (define @t229 () (not (= tptp.sk_c11 @t89))) % 15.92/16.21 (define @t230 () (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 @t92)))) % 15.92/16.21 (define @t231 () (or @t230 @t229)) % 15.92/16.21 (define @t232 () (@list @t88)) % 15.92/16.21 (define @t233 () (forall @t232 @t231)) % 15.92/16.21 (define @t234 () (not (= @t69 @t69))) % 15.92/16.21 (define @t235 () (or @t221 @t220 @t234 @t219 @t218)) % 15.92/16.21 (define @t236 () (not (= @t62 @t217))) % 15.92/16.21 (define @t237 () (not (= @t74 @t67))) % 15.92/16.21 (define @t238 () (not (= @t62 @t69))) % 15.92/16.21 (define @t239 () (or @t238 @t221 @t220 @t238 @t237 @t236)) % 15.92/16.21 (define @t240 () (@list @t62)) % 15.92/16.21 (define @t241 () (or @t221 @t220 @t238 @t237 @t236)) % 15.92/16.21 (define @t242 () (forall @t240 @t241)) % 15.92/16.21 (define @t243 () (forall @t223 @t242)) % 15.92/16.21 (define @t244 () (@list @t73 @t64 @t62)) % 15.92/16.21 (define @t245 () (not (= @t74 @t74))) % 15.92/16.21 (define @t246 () (or @t221 @t245 @t220 @t238 @t237 @t236)) % 15.92/16.21 (define @t247 () (not (= @t62 @t65))) % 15.92/16.21 (define @t248 () (not (= @t63 @t67))) % 15.92/16.21 (define @t249 () (not (= tptp.sk_c11 @t71))) % 15.92/16.21 (define @t250 () (not (= @t63 @t74))) % 15.92/16.21 (define @t251 () (not (= tptp.sk_c11 @t76))) % 15.92/16.21 (define @t252 () (or @t250 @t251 @t250 @t249 @t238 @t248 @t247)) % 15.92/16.21 (define @t253 () (@list @t63)) % 15.92/16.21 (define @t254 () (or @t251 @t250 @t249 @t238 @t248 @t247)) % 15.92/16.21 (define @t255 () (forall @t253 @t254)) % 15.92/16.21 (define @t256 () (forall @t244 @t255)) % 15.92/16.21 (define @t257 () (forall (@list @t73 @t64 @t62 @t63) @t254)) % 15.92/16.21 (define @t258 () (forall (@list @t73 @t63 @t64 @t62) @t254)) % 15.92/16.21 (define @t259 () (not (= @t92 @t92))) % 15.92/16.21 (define @t260 () (or @t230 @t259 @t229)) % 15.92/16.21 (define @t261 () (not (= @t91 @t92))) % 15.92/16.21 (define @t262 () (not (= tptp.sk_c10 @t94))) % 15.92/16.21 (define @t263 () (or @t261 @t262 @t261 @t229)) % 15.92/16.21 (define @t264 () (@list @t91)) % 15.92/16.21 (define @t265 () (or @t262 @t261 @t229)) % 15.92/16.21 (define @t266 () (forall @t264 @t265)) % 15.92/16.21 (define @t267 () (forall @t232 @t266)) % 15.92/16.21 (define @t268 () (forall (@list @t88 @t91) @t265)) % 15.92/16.21 (define @t269 () (forall (@list @t91 @t88) @t265)) % 15.92/16.21 (define @t270 () (or @t174 @t173 @t172 @t269 @t123 @t228 @t258)) % 15.92/16.21 (define @t271 () (or @t174 @t173 @t172 @t265 @t122 @t227 @t254)) % 15.92/16.21 (define @t272 () (or @t174 @t173 @t172 @t262 @t261 @t229 @t121 @t120 @t226 @t225 @t251 @t250 @t249 @t238 @t248 @t247)) % 15.92/16.21 (define @t273 () (forall @t3 (= @t1 @t2))) % 15.92/16.21 (define @t274 () (forall @t3 (= tptp.identity @t5))) % 15.92/16.21 (define @t275 () (= tptp.sk_c10 @t156)) % 15.92/16.21 (define @t276 () (and @t125 @t107 @t108 @t126 @t132 @t146 @t149)) % 15.92/16.21 (define @t277 () (= tptp.sk_c2 @t50)) % 15.92/16.21 (define @t278 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 @t50))) % 15.92/16.21 (define @t279 () (and @t126 @t277)) % 15.92/16.21 (define @t280 () (not @t112)) % 15.92/16.21 (define @t281 () (not @t278)) % 15.92/16.21 (define @t282 () (or @t281 @t280)) % 15.92/16.21 (define @t283 () (@list tptp.sk_c1)) % 15.92/16.21 (define @t284 () (not @t277)) % 15.92/16.21 (define @t285 () (tptp.multiply @t156 tptp.identity)) % 15.92/16.21 (define @t286 () (= @t285 (tptp.multiply tptp.sk_c11 @t139))) % 15.92/16.21 (define @t287 () (tptp.multiply @t129 tptp.sk_c11)) % 15.92/16.21 (define @t288 () (= @t287 (tptp.multiply tptp.identity @t185))) % 15.92/16.21 (define @t289 () (tptp.multiply @t12 tptp.identity)) % 15.92/16.21 (define @t290 () (= @t289 (tptp.multiply tptp.sk_c11 (tptp.multiply tptp.sk_c10 tptp.identity)))) % 15.92/16.21 (define @t291 () (tptp.multiply @t34 @t186)) % 15.92/16.21 (define @t292 () (tptp.multiply @t131 @t185)) % 15.92/16.21 (define @t293 () (= @t292 @t291)) % 15.92/16.21 (define @t294 () (tptp.multiply @t56 tptp.sk_c1)) % 15.92/16.21 (define @t295 () (= tptp.identity @t294)) % 15.92/16.21 (define @t296 () (tptp.multiply @t56 @t50)) % 15.92/16.21 (define @t297 () (= (tptp.multiply @t294 tptp.sk_c11) @t296)) % 15.92/16.21 (define @t298 () (and @t125 @t107 @t108 @t126 @t277 @t112 @t128 @t130 @t132 @t286 @t182 @t288 @t137 @t141 @t290 @t188 @t293 @t144 @t146 @t149 @t152 @t295 @t297)) % 15.92/16.21 (define @t299 () (not @t201)) % 15.92/16.21 (define @t300 () (not @t275)) % 15.92/16.21 (define @t301 () (or @t300 @t299)) % 15.92/16.21 (define @t302 () (and @t125 @t113 @t114 @t107 @t128 @t134 @t155)) % 15.92/16.21 (define @t303 () (tptp.multiply tptp.identity tptp.sk_c3)) % 15.92/16.21 (define @t304 () (= tptp.sk_c3 @t303)) % 15.92/16.21 (define @t305 () (tptp.inverse @t15)) % 15.92/16.21 (define @t306 () (tptp.multiply @t305 @t15)) % 15.92/16.21 (define @t307 () (= tptp.identity @t306)) % 15.92/16.21 (define @t308 () (tptp.multiply tptp.sk_c11 tptp.sk_c3)) % 15.92/16.21 (define @t309 () (tptp.multiply @t34 @t308)) % 15.92/16.21 (define @t310 () (tptp.multiply @t131 tptp.sk_c3)) % 15.92/16.21 (define @t311 () (= @t310 @t309)) % 15.92/16.21 (define @t312 () (and @t125 @t113 @t114 @t115 @t116 @t107 @t108 @t176 @t128 @t130 @t132 @t304 @t178 @t134 @t307 @t180 @t137 @t188 @t144 @t152 @t155 @t311)) % 15.92/16.21 (define @t313 () (not @t311)) % 15.92/16.21 (define @t314 () (not @t307)) % 15.92/16.21 (define @t315 () (not @t304)) % 15.92/16.21 (define @t316 () (= false true)) % 15.92/16.21 (define @t317 () (and @t210 @t110)) % 15.92/16.21 (define @t318 () (tptp.multiply @t34 @t12)) % 15.92/16.21 (define @t319 () (= (tptp.multiply @t131 tptp.sk_c10) @t318)) % 15.92/16.21 (define @t320 () (not @t319)) % 15.92/16.21 (define @t321 () (tptp.multiply @t21 @t18)) % 15.92/16.21 (define @t322 () (= (tptp.multiply @t179 tptp.sk_c10) @t321)) % 15.92/16.21 (define @t323 () (not @t322)) % 15.92/16.21 (define @t324 () (tptp.multiply tptp.sk_c3 @t12)) % 15.92/16.21 (define @t325 () (= (tptp.multiply @t10 tptp.sk_c10) @t324)) % 15.92/16.21 (define @t326 () (not @t325)) % 15.92/16.21 (define @t327 () (tptp.multiply tptp.sk_c10 tptp.sk_c4)) % 15.92/16.21 (define @t328 () (tptp.multiply tptp.sk_c10 @t327)) % 15.92/16.21 (define @t329 () (= @t189 @t328)) % 15.92/16.21 (define @t330 () (not @t329)) % 15.92/16.21 (define @t331 () (= tptp.sk_c11 @t305)) % 15.92/16.21 (define @t332 () (not @t331)) % 15.92/16.21 (define @t333 () (and @t332 @t331)) % 15.92/16.21 (define @t334 () (@list true)) % 15.92/16.21 (define @t335 () (@list @t125)) % 15.92/16.21 (define @t336 () (= tptp.sk_c11 @t24)) % 15.92/16.21 (define @t337 () (= tptp.sk_c8 @t27)) % 15.92/16.21 (define @t338 () (tptp.multiply tptp.sk_c8 tptp.sk_c11)) % 15.92/16.21 (define @t339 () (tptp.multiply @t106 @t338)) % 15.92/16.21 (define @t340 () (tptp.multiply @t106 tptp.sk_c8)) % 15.92/16.21 (define @t341 () (= (tptp.multiply @t340 tptp.sk_c11) @t339)) % 15.92/16.21 (define @t342 () (not @t341)) % 15.92/16.21 (define @t343 () (tptp.multiply @t27 tptp.sk_c5)) % 15.92/16.21 (define @t344 () (tptp.multiply @t343 tptp.sk_c8)) % 15.92/16.21 (define @t345 () (= @t344 (tptp.multiply @t27 @t24))) % 15.92/16.21 (define @t346 () (not @t345)) % 15.92/16.21 (define @t347 () (= tptp.identity @t340)) % 15.92/16.21 (define @t348 () (not @t347)) % 15.92/16.21 (define @t349 () (= tptp.identity @t343)) % 15.92/16.21 (define @t350 () (not @t349)) % 15.92/16.21 (define @t351 () (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) % 15.92/16.21 (define @t352 () (not @t351)) % 15.92/16.21 (define @t353 () (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9))) % 15.92/16.21 (define @t354 () (not @t353)) % 15.92/16.21 (define @t355 () (not @t337)) % 15.92/16.21 (define @t356 () (not @t336)) % 15.92/16.21 (define @t357 () (= tptp.sk_c10 @t127)) % 15.92/16.21 (define @t358 () (not @t357)) % 15.92/16.21 (define @t359 () (and @t128 @t203 @t116 @t358)) % 15.92/16.21 (assume @p1 @t4) % 15.92/16.21 (assume @p2 @t6) % 15.92/16.21 (assume @p3 @t9) % 15.92/16.21 (assume @p4 @t14) % 15.92/16.21 (assume @p5 @t17) % 15.92/16.21 (assume @p6 @t20) % 15.92/16.21 (assume @p7 @t23) % 15.92/16.21 (assume @p8 @t26) % 15.92/16.21 (assume @p9 @t29) % 15.92/16.21 (assume @p10 (or @t13 @t30)) % 15.92/16.21 (assume @p11 (or @t13 @t31)) % 15.92/16.21 (assume @p12 (or @t13 @t32)) % 15.92/16.21 (assume @p13 (or @t13 @t33)) % 15.92/16.21 (assume @p14 @t36) % 15.92/16.21 (assume @p15 @t37) % 15.92/16.21 (assume @p16 @t38) % 15.92/16.21 (assume @p17 @t39) % 15.92/16.21 (assume @p18 (or @t35 @t25)) % 15.92/16.21 (assume @p19 (or @t35 @t28)) % 15.92/16.21 (assume @p20 (or @t35 @t30)) % 15.92/16.21 (assume @p21 (or @t35 @t31)) % 15.92/16.21 (assume @p22 (or @t35 @t32)) % 15.92/16.21 (assume @p23 (or @t35 @t33)) % 15.92/16.21 (assume @p24 @t42) % 15.92/16.21 (assume @p25 @t43) % 15.92/16.21 (assume @p26 (or @t41 @t19)) % 15.92/16.21 (assume @p27 (or @t41 @t22)) % 15.92/16.21 (assume @p28 (or @t41 @t25)) % 15.92/16.21 (assume @p29 (or @t41 @t28)) % 15.92/16.21 (assume @p30 (or @t41 @t30)) % 15.92/16.21 (assume @p31 (or @t41 @t31)) % 15.92/16.21 (assume @p32 (or @t41 @t32)) % 15.92/16.21 (assume @p33 (or @t41 @t33)) % 15.92/16.21 (assume @p34 @t46) % 15.92/16.21 (assume @p35 @t47) % 15.92/16.21 (assume @p36 @t48) % 15.92/16.21 (assume @p37 @t49) % 15.92/16.21 (assume @p38 (or @t45 @t25)) % 15.92/16.21 (assume @p39 (or @t45 @t28)) % 15.92/16.21 (assume @p40 (or @t45 @t30)) % 15.92/16.21 (assume @p41 (or @t45 @t31)) % 15.92/16.21 (assume @p42 (or @t45 @t32)) % 15.92/16.21 (assume @p43 (or @t45 @t33)) % 15.92/16.21 (assume @p44 @t52) % 15.92/16.21 (assume @p45 @t53) % 15.92/16.21 (assume @p46 @t54) % 15.92/16.21 (assume @p47 @t55) % 15.92/16.21 (assume @p48 (or @t51 @t25)) % 15.92/16.21 (assume @p49 (or @t51 @t28)) % 15.92/16.21 (assume @p50 (or @t51 @t30)) % 15.92/16.21 (assume @p51 (or @t51 @t31)) % 15.92/16.21 (assume @p52 (or @t51 @t32)) % 15.92/16.21 (assume @p53 (or @t51 @t33)) % 15.92/16.21 (assume @p54 @t58) % 15.92/16.21 (assume @p55 @t59) % 15.92/16.21 (assume @p56 @t60) % 15.92/16.21 (assume @p57 @t61) % 15.92/16.21 (assume @p58 (or @t57 @t25)) % 15.92/16.21 (assume @p59 (or @t57 @t28)) % 15.92/16.21 (assume @p60 (or @t57 @t30)) % 15.92/16.21 (assume @p61 (or @t57 @t31)) % 15.92/16.21 (assume @p62 (or @t57 @t32)) % 15.92/16.21 (assume @p63 (or @t57 @t33)) % 15.92/16.21 (assume @p64 @t101) % 15.92/16.21 (step @p65 :rule eq-symm :args (@t2 @t1)) % 15.92/16.21 (step @p66 :rule cong :premises (@p65) :args (@t4)) % 15.92/16.21 (step @p67 :rule eq_resolve :premises (@p1 @p66)) % 15.92/16.21 (step @p68 :rule instantiate :premises (@p67) :args (@t102)) % 15.92/16.21 (step @p69 :rule instantiate :premises (@p67) :args ((@list tptp.sk_c10))) % 15.92/16.21 (step @p70 :rule eq-symm :args (@t5 tptp.identity)) % 15.92/16.21 (step @p71 :rule cong :premises (@p70) :args (@t6)) % 15.92/16.21 (step @p72 :rule eq_resolve :premises (@p2 @p71)) % 15.92/16.21 (step @p73 :rule instantiate :premises (@p72) :args (@t102)) % 15.92/16.21 (step @p74 :rule instantiate :premises (@p67) :args ((@list tptp.sk_c9))) % 15.92/16.21 (step @p75 :rule instantiate :premises (@p72) :args (@t103)) % 15.92/16.21 (step @p76 :rule instantiate :premises (@p72) :args (@t104)) % 15.92/16.21 (step @p77 :rule instantiate :premises (@p67) :args (@t105)) % 15.92/16.21 (step @p78 :rule instantiate :premises (@p72) :args ((@list tptp.sk_c5))) % 15.92/16.21 (step @p79 :rule instantiate :premises (@p72) :args (@t105)) % 15.92/16.21 (step @p80 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c3 tptp.sk_c11))) % 15.92/16.21 (step @p81 :rule instantiate :premises (@p3) :args ((@list @t27 tptp.sk_c5 tptp.sk_c8))) % 15.92/16.21 (step @p82 :rule instantiate :premises (@p3) :args ((@list @t106 tptp.sk_c8 tptp.sk_c11))) % 15.92/16.21 (step @p83 :rule instantiate :premises (@p3) :args ((@list @t21 tptp.sk_c4 tptp.sk_c10))) % 15.92/16.21 (step @p84 :rule instantiate :premises (@p3) :args ((@list @t34 tptp.sk_c11 tptp.sk_c10))) % 15.92/16.21 (assume-push @p3085 @t107) % 15.92/16.21 (assume-push @p3086 @t108) % 15.92/16.21 (assume-push @p3087 @t108) % 15.92/16.21 (assume-push @p3088 @t107) % 15.92/16.21 (step @p89 :rule refl :args (tptp.sk_c10)) % 15.92/16.21 (step @p90 :rule cong :premises (@p3085 @p89) :args (@t40)) % 15.92/16.21 (step @p91 :rule trans :premises (@p3086 @p90)) % 15.92/16.21 (step-pop @p3089 :rule scope :premises (@p91)) % 15.92/16.21 (step-pop @p3090 :rule scope :premises (@p3089)) % 15.92/16.21 (step @p92 :rule process_scope :premises (@p3090) :args (@t110)) % 15.92/16.21 (step @p95 :rule and_intro :premises (@p3086 @p3085)) % 15.92/16.21 (step @p96 :rule modus_ponens :premises (@p95 @p92)) % 15.92/16.21 (step-pop @p3091 :rule scope :premises (@p96)) % 15.92/16.21 (step-pop @p3092 :rule scope :premises (@p3091)) % 15.92/16.21 (step @p97 :rule process_scope :premises (@p3092) :args (@t110)) % 15.92/16.21 (step @p100 :rule implies_elim :premises (@p97)) % 15.92/16.21 (step @p101 :rule cnf_and_neg :args (@t111)) % 15.92/16.21 (step @p102 :rule resolution :premises (@p101 @p100) :args (true @t111)) % 15.92/16.21 (step @p103 :rule eq-symm :args (@t10 tptp.sk_c10)) % 15.92/16.21 (step @p104 :rule eq-symm :args (@t56 tptp.sk_c11)) % 15.92/16.21 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t58)) % 15.92/16.21 (step @p106 :rule eq_resolve :premises (@p54 @p105)) % 15.92/16.21 (step @p107 :rule reordering :premises (@p106) :args ((or @t113 @t112))) % 15.92/16.21 (step @p108 :rule eq-symm :args (@t15 tptp.sk_c11)) % 15.92/16.21 (step @p109 :rule nary_cong :premises (@p104 @p108) :args (@t59)) % 15.92/16.21 (step @p110 :rule eq_resolve :premises (@p55 @p109)) % 15.92/16.21 (step @p111 :rule reordering :premises (@p110) :args ((or @t114 @t112))) % 15.92/16.21 (step @p112 :rule eq-symm :args (@t18 tptp.sk_c9)) % 15.92/16.21 (step @p113 :rule nary_cong :premises (@p104 @p112) :args (@t60)) % 15.92/16.21 (step @p114 :rule eq_resolve :premises (@p56 @p113)) % 15.92/16.21 (step @p115 :rule reordering :premises (@p114) :args ((or @t115 @t112))) % 15.92/16.21 (step @p116 :rule eq-symm :args (@t21 tptp.sk_c10)) % 15.92/16.21 (step @p117 :rule nary_cong :premises (@p104 @p116) :args (@t61)) % 15.92/16.21 (step @p118 :rule eq_resolve :premises (@p57 @p117)) % 15.92/16.21 (step @p119 :rule reordering :premises (@p118) :args ((or @t116 @t112))) % 15.92/16.21 (step @p120 :rule cnf_or_pos :args (@t119)) % 15.92/16.21 (step @p121 :rule reordering :premises (@p120) :args ((or @t118 @t117 (not @t119)))) % 15.92/16.21 (assume-push @p3093 @t123) % 15.92/16.21 (step @p123 :rule instantiate :premises (@p3093) :args (@t103)) % 15.92/16.21 (step-pop @p3094 :rule scope :premises (@p123)) % 15.92/16.21 (step @p124 :rule process_scope :premises (@p3094) :args (@t119)) % 15.92/16.21 (step @p126 :rule implies_elim :premises (@p124)) % 15.92/16.21 (step @p127 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.sk_c10 tptp.sk_c10))) % 15.92/16.21 (step @p128 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.identity tptp.sk_c10))) % 15.92/16.21 (step @p129 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c10 tptp.sk_c10))) % 15.92/16.21 (step @p130 :rule instantiate :premises (@p67) :args ((@list tptp.sk_c2))) % 15.92/16.21 (step @p131 :rule instantiate :premises (@p3) :args ((@list @t34 tptp.sk_c11 tptp.sk_c2))) % 15.92/16.21 (step @p132 :rule instantiate :premises (@p3) :args ((@list @t34 tptp.sk_c11 @t124))) % 15.92/16.21 (assume-push @p3095 @t125) % 15.92/16.21 (assume-push @p3096 @t113) % 15.92/16.21 (assume-push @p3097 @t114) % 15.92/16.21 (assume-push @p3098 @t107) % 15.92/16.21 (assume-push @p3099 @t108) % 15.92/16.21 (assume-push @p3100 @t126) % 15.92/16.21 (assume-push @p3101 @t128) % 15.92/16.21 (assume-push @p3102 @t130) % 15.92/16.21 (assume-push @p3103 @t132) % 15.92/16.21 (assume-push @p3104 @t134) % 15.92/16.21 (assume-push @p3105 @t137) % 15.92/16.21 (assume-push @p3106 @t141) % 15.92/16.21 (assume-push @p3107 @t144) % 15.92/16.21 (assume-push @p3108 @t146) % 15.92/16.21 (assume-push @p3109 @t149) % 15.92/16.21 (assume-push @p3110 @t152) % 15.92/16.21 (assume-push @p3111 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15.92/16.21 (step @p1042 :rule eq-symm :args (@t94 tptp.sk_c10)) % 15.92/16.21 (step @p1043 :rule cong :premises (@p1042) :args (@t95)) % 15.92/16.21 (step @p1044 :rule eq-symm :args (@t40 tptp.sk_c11)) % 15.92/16.21 (step @p1045 :rule cong :premises (@p1044) :args (@t96)) % 15.92/16.21 (step @p1046 :rule eq-symm :args (@t34 tptp.sk_c9)) % 15.92/16.21 (step @p1047 :rule cong :premises (@p1046) :args (@t97)) % 15.92/16.21 (step @p1048 :rule eq-symm :args (@t12 tptp.sk_c9)) % 15.92/16.21 (step @p1049 :rule cong :premises (@p1048) :args (@t98)) % 15.92/16.21 (step @p1050 :rule nary_cong :premises (@p1049 @p1047 @p1045 @p1043 @p1041 @p1039 @p1037 @p1035 @p1033 @p1031 @p1029 @p1027 @p1025 @p1023 @p1021 @p1019) :args (@t99)) % 15.92/16.21 (step @p1051 :rule cong :premises (@p1050) :args (@t101)) % 15.92/16.21 (step @p1052 :rule trans :premises (@p1051 @p1017)) % 15.92/16.21 (step @p1053 :rule eq_resolve :premises (@p64 @p1052)) % 15.92/16.21 (step @p1054 :rule reordering :premises (@p1053) :args ((or @t174 @t173 @t172 @t123 @t228 @t233 @t224))) % 15.92/16.21 (step @p1055 :rule chain_m_resolution :premises (@p1054 @p945 @p940 @p935 @p930 @p928 @p926 @p924 @p80 @p132 @p131 @p130 @p129 @p250 @p128 @p127 @p248 @p76 @p75 @p247 @p73 @p69 @p68 @p246 @p778 @p80 @p132 @p131 @p130 @p129 @p250 @p128 @p127 @p248 @p76 @p75 @p247 @p73 @p69 @p68 @p246 @p584 @p80 @p132 @p131 @p130 @p129 @p250 @p249 @p128 @p127 @p248 @p76 @p75 @p247 @p73 @p69 @p68 @p246 @p409 @p80 @p132 @p131 @p130 @p129 @p250 @p249 @p128 @p127 @p248 @p76 @p75 @p247 @p73 @p69 @p68 @p246 @p245 @p80 @p132 @p131 @p130 @p129 @p128 @p127 @p75 @p73 @p69 @p68 @p126 @p121 @p119 @p115 @p111 @p107 @p102) :args ((or @t112 @t174 @t173 @t172 @t171) (@list true true true 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 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 false false true true false false false false false) (@list @t233 @t228 @t224 @t216 @t214 @t212 @t207 @t155 @t152 @t149 @t146 @t144 @t188 @t141 @t137 @t182 @t180 @t134 @t178 @t132 @t130 @t128 @t176 @t204 @t155 @t152 @t149 @t146 @t144 @t188 @t141 @t137 @t182 @t180 @t134 @t178 @t132 @t130 @t128 @t176 @t202 @t155 @t152 @t149 @t146 @t144 @t188 @t184 @t141 @t137 @t182 @t180 @t134 @t178 @t132 @t130 @t128 @t176 @t191 @t155 @t152 @t149 @t146 @t144 @t188 @t184 @t141 @t137 @t182 @t180 @t134 @t178 @t132 @t130 @t128 @t176 @t158 @t155 @t152 @t149 @t146 @t144 @t141 @t137 @t134 @t132 @t130 @t128 @t123 @t119 @t116 @t115 @t114 @t113 @t110))) % 15.92/16.21 (assume-push @p3639 @t9) % 15.92/16.21 (step-pop @p3640 :rule scope :premises (@p131)) % 15.92/16.21 (step @p1057 :rule process_scope :premises (@p3640) :args (@t149)) % 15.92/16.21 (step @p1059 :rule implies_elim :premises (@p1057)) % 15.92/16.21 (assume-push @p3641 @t273) % 15.92/16.21 (step-pop @p3642 :rule scope :premises (@p130)) % 15.92/16.21 (step @p1061 :rule process_scope :premises (@p3642) :args (@t146)) % 15.92/16.21 (step @p1063 :rule implies_elim :premises (@p1061)) % 15.92/16.21 (assume-push @p3643 @t274) % 15.92/16.21 (step-pop @p3644 :rule scope :premises (@p73)) % 15.92/16.21 (step @p1065 :rule process_scope :premises (@p3644) :args (@t132)) % 15.92/16.21 (step @p1067 :rule implies_elim :premises (@p1065)) % 15.92/16.21 (assume-push @p3645 @t125) % 15.92/16.21 (assume-push @p3646 @t107) % 15.92/16.21 (assume-push @p3647 @t108) % 15.92/16.21 (assume-push @p3648 @t126) % 15.92/16.21 (assume-push @p3649 @t132) % 15.92/16.21 (assume-push @p3650 @t146) % 15.92/16.21 (assume-push @p3651 @t149) % 15.92/16.21 (assume-push @p3652 @t108) % 15.92/16.21 (assume-push @p3653 @t125) % 15.92/16.21 (assume-push @p3654 @t107) % 15.92/16.21 (assume-push @p3655 @t126) % 15.92/16.21 (assume-push @p3656 @t149) % 15.92/16.21 (assume-push @p3657 @t132) % 15.92/16.21 (assume-push @p3658 @t146) % 15.92/16.21 (step @p1082 :rule symm :premises (@p3647)) % 15.92/16.21 (step @p89 :rule refl :args (tptp.sk_c10)) % 15.92/16.21 (step @p1083 :rule symm :premises (@p3645)) % 15.92/16.21 (step @p1084 :rule cong :premises (@p1083 @p89) :args (@t143)) % 15.92/16.21 (step @p1085 :rule symm :premises (@p3648)) % 15.92/16.21 (step @p1086 :rule symm :premises (@p3646)) % 15.92/16.21 (step @p1087 :rule trans :premises (@p1086 @p3645)) % 15.92/16.21 (step @p1088 :rule cong :premises (@p1087 @p1085) :args (@t147)) % 15.92/16.21 (step @p173 :rule refl :args (tptp.sk_c2)) % 15.92/16.21 (step @p309 :rule cong :premises (@p73 @p173) :args (@t145)) % 15.92/16.21 (step @p1089 :rule trans :premises (@p130 @p309 @p131 @p1088 @p1084 @p1082)) % 15.92/16.21 (step @p169 :rule refl :args (tptp.sk_c11)) % 15.92/16.21 (step @p1090 :rule cong :premises (@p169 @p1089) :args (@t44)) % 15.92/16.21 (step @p1091 :rule trans :premises (@p3648 @p1090)) % 15.92/16.21 (step-pop @p3659 :rule scope :premises (@p1091)) % 15.92/16.21 (step-pop @p3660 :rule scope :premises (@p3659)) % 15.92/16.21 (step-pop @p3661 :rule scope :premises (@p3660)) % 15.92/16.21 (step-pop @p3662 :rule scope :premises (@p3661)) % 15.92/16.21 (step-pop @p3663 :rule scope :premises (@p3662)) % 15.92/16.21 (step-pop @p3664 :rule scope :premises (@p3663)) % 15.92/16.21 (step-pop @p3665 :rule scope :premises (@p3664)) % 15.92/16.21 (step @p1092 :rule process_scope :premises (@p3665) :args (@t275)) % 15.92/16.21 (step @p1100 :rule and_intro :premises (@p3647 @p3645 @p3646 @p3648 @p131 @p73 @p130)) % 15.92/16.21 (step @p1101 :rule modus_ponens :premises (@p1100 @p1092)) % 15.92/16.21 (step-pop @p3666 :rule scope :premises (@p1101)) % 15.92/16.21 (step-pop @p3667 :rule scope :premises (@p3666)) % 15.92/16.21 (step-pop @p3668 :rule scope 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15.92/16.21 (step @p1119 :rule trans :premises (@p3673 @p1118)) % 15.92/16.21 (step-pop @p3677 :rule scope :premises (@p1119)) % 15.92/16.21 (step-pop @p3678 :rule scope :premises (@p3677)) % 15.92/16.21 (step @p1120 :rule process_scope :premises (@p3678) :args (@t278)) % 15.92/16.21 (step @p1123 :rule and_intro :premises (@p3674 @p3673)) % 15.92/16.21 (step @p1124 :rule modus_ponens :premises (@p1123 @p1120)) % 15.92/16.21 (step-pop @p3679 :rule scope :premises (@p1124)) % 15.92/16.21 (step-pop @p3680 :rule scope :premises (@p3679)) % 15.92/16.21 (step @p1125 :rule process_scope :premises (@p3680) :args (@t278)) % 15.92/16.21 (step @p1128 :rule implies_elim :premises (@p1125)) % 15.92/16.21 (step @p1129 :rule cnf_and_neg :args (@t279)) % 15.92/16.21 (step @p1130 :rule resolution :premises (@p1129 @p1128) :args (true @t279)) % 15.92/16.21 (step @p1131 :rule cnf_or_pos :args (@t282)) % 15.92/16.21 (step @p1132 :rule reordering :premises (@p1131) :args ((or @t280 @t281 (not @t282)))) % 15.92/16.21 (assume-push @p3681 @t233) % 15.92/16.21 (step @p1134 :rule instantiate :premises (@p3681) :args (@t283)) % 15.92/16.21 (step-pop @p3682 :rule scope :premises (@p1134)) % 15.92/16.21 (step @p1135 :rule process_scope :premises (@p3682) :args (@t282)) % 15.92/16.21 (step @p1137 :rule implies_elim :premises (@p1135)) % 15.92/16.21 (step @p1138 :rule chain_m_resolution :premises (@p1137 @p1132 @p1130) :args ((or @t171 @t284 @t280 (not @t233)) (@list true false) (@list @t282 @t278))) % 15.92/16.21 (step @p1139 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c11 tptp.identity))) % 15.92/16.21 (step @p1140 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.sk_c10 tptp.sk_c11))) % 15.92/16.21 (step @p1141 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c11 tptp.sk_c10 tptp.identity))) % 15.92/16.21 (step @p1142 :rule instantiate :premises (@p3) :args ((@list @t34 tptp.sk_c11 @t185))) % 15.92/16.21 (step @p1143 :rule instantiate :premises 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15.92/16.21 (assume-push @p3704 @t295) % 15.92/16.21 (assume-push @p3705 @t297) % 15.92/16.21 (assume-push @p3706 @t107) % 15.92/16.21 (assume-push @p3707 @t125) % 15.92/16.21 (assume-push @p3708 @t130) % 15.92/16.21 (assume-push @p3709 @t141) % 15.92/16.21 (assume-push @p3710 @t132) % 15.92/16.21 (assume-push @p3711 @t108) % 15.92/16.21 (assume-push @p3712 @t144) % 15.92/16.21 (assume-push @p3713 @t152) % 15.92/16.21 (assume-push @p3714 @t137) % 15.92/16.21 (assume-push @p3715 @t126) % 15.92/16.21 (assume-push @p3716 @t146) % 15.92/16.21 (assume-push @p3717 @t149) % 15.92/16.21 (assume-push @p3718 @t182) % 15.92/16.21 (assume-push @p3719 @t288) % 15.92/16.21 (assume-push @p3720 @t293) % 15.92/16.21 (assume-push @p3721 @t188) % 15.92/16.21 (assume-push @p3722 @t290) % 15.92/16.21 (assume-push @p3723 @t286) % 15.92/16.21 (assume-push @p3724 @t112) % 15.92/16.21 (assume-push @p3725 @t277) % 15.92/16.21 (assume-push @p3726 @t297) % 15.92/16.21 (assume-push @p3727 @t295) % 15.92/16.21 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15.92/16.21 (assume-push @p3818 @t112) % 15.92/16.21 (assume-push @p3819 @t277) % 15.92/16.21 (assume-push @p3820 @t297) % 15.92/16.21 (assume-push @p3821 @t295) % 15.92/16.21 (assume-push @p3822 @t128) % 15.92/16.21 (step @p1340 :rule symm :premises (@p3777)) % 15.92/16.21 (step @p168 :rule symm :premises (@p69)) % 15.92/16.21 (step @p169 :rule refl :args (tptp.sk_c11)) % 15.92/16.21 (step @p170 :rule cong :premises (@p169 @p168) :args (@t138)) % 15.92/16.21 (step @p1341 :rule symm :premises (@p3780)) % 15.92/16.21 (step @p172 :rule symm :premises (@p130)) % 15.92/16.21 (step @p173 :rule refl :args (tptp.sk_c2)) % 15.92/16.21 (step @p174 :rule symm :premises (@p73)) % 15.92/16.21 (step @p175 :rule cong :premises (@p174 @p173) :args (@t148)) % 15.92/16.21 (step @p176 :rule symm :premises (@p131)) % 15.92/16.21 (step @p1342 :rule trans :premises (@p1340 @p3778)) % 15.92/16.21 (step @p1343 :rule cong :premises (@p1342 @p3780) :args (@t143)) % 15.92/16.21 (step @p89 :rule refl :args 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(step @p2905 :rule refl :args (@t350)) % 15.92/16.22 (step @p2906 :rule refl :args (@t352)) % 15.92/16.22 (step @p2907 :rule refl :args (@t354)) % 15.92/16.22 (step @p2908 :rule bool-double-not-elim :args (@t125)) % 15.92/16.22 (step @p2909 :rule refl :args (@t355)) % 15.92/16.22 (step @p2910 :rule refl :args (@t356)) % 15.92/16.22 (step @p2911 :rule nary_cong :premises (@p2625 @p2624 @p2729 @p2728 @p2910 @p2909 @p2908 @p2622 @p2726 @p2725 @p2907 @p2621 @p2723 @p2906 @p2905 @p2904 @p2620 @p2903 @p2902 @p2720 @p2719) :args ((or @t118 @t117 @t200 @t199 @t356 @t355 (not @t174) @t170 @t169 @t168 @t354 @t167 @t196 @t352 @t350 @t348 @t160 @t346 @t342 @t323 @t320))) % 15.92/16.22 (assume-push @p4777 @t128) % 15.92/16.22 (assume-push @p4778 @t203) % 15.92/16.22 (assume-push @p4779 @t116) % 15.92/16.22 (assume-push @p4780 @t358) % 15.92/16.22 (step @p2629 :rule evaluate :args (@t316)) % 15.92/16.22 (step @p2916 :rule symm :premises (@p4778)) % 15.92/16.22 (step @p2917 :rule trans :premises (@p4779 @p2916)) % 15.92/16.22 (step @p2918 :rule trans :premises (@p2917 @p68)) % 15.92/16.22 (step @p2919 :rule true_intro :premises (@p2918)) % 15.92/16.22 (step @p2920 :rule false_intro :premises (@p4780)) % 15.92/16.22 (step @p2921 :rule symm :premises (@p2920)) % 15.92/16.22 (step @p2922 :rule trans :premises (@p2921 @p2919)) % 15.92/16.22 (step @p2923 false :rule eq_resolve :premises (@p2922 @p2629)) % 15.92/16.22 (step-pop @p4781 :rule scope :premises (@p2923)) % 15.92/16.22 (step-pop @p4782 :rule scope :premises (@p4781)) % 15.92/16.22 (step-pop @p4783 :rule scope :premises (@p4782)) % 15.92/16.22 (step-pop @p4784 :rule scope :premises (@p4783)) % 15.92/16.22 (step @p2924 :rule process_scope :premises (@p4784) :args (false)) % 15.92/16.22 (assume-push @p4785 @t113) % 15.92/16.22 (assume-push @p4786 @t114) % 15.92/16.22 (assume-push @p4787 @t115) % 15.92/16.22 (assume-push @p4788 @t116) % 15.92/16.22 (assume-push @p4789 @t336) % 15.92/16.22 (assume-push @p4790 @t337) % 15.92/16.22 (assume-push @p4791 @t174) % 15.92/16.22 (assume-push @p4792 @t128) % 15.92/16.22 (assume-push @p4793 @t130) % 15.92/16.22 (assume-push @p4794 @t132) % 15.92/16.22 (assume-push @p4795 @t353) % 15.92/16.22 (assume-push @p4796 @t134) % 15.92/16.22 (assume-push @p4797 @t180) % 15.92/16.22 (assume-push @p4798 @t351) % 15.92/16.22 (assume-push @p4799 @t349) % 15.92/16.22 (assume-push @p4800 @t347) % 15.92/16.22 (assume-push @p4801 @t155) % 15.92/16.22 (assume-push @p4802 @t345) % 15.92/16.22 (assume-push @p4803 @t341) % 15.92/16.22 (assume-push @p4804 @t322) % 15.92/16.22 (assume-push @p4805 @t319) % 15.92/16.22 (assume-push @p4806 @t174) % 15.92/16.22 (assume-push @p4807 @t353) % 15.92/16.22 (assume-push @p4808 @t132) % 15.92/16.22 (assume-push @p4809 @t128) % 15.92/16.22 (assume-push @p4810 @t134) % 15.92/16.22 (assume-push @p4811 @t155) % 15.92/16.22 (assume-push @p4812 @t114) % 15.92/16.22 (assume-push @p4813 @t113) % 15.92/16.22 (assume-push @p4814 @t319) % 15.92/16.22 (assume-push @p4815 @t130) % 15.92/16.22 (assume-push @p4816 @t116) % 15.92/16.22 (assume-push @p4817 @t115) % 15.92/16.22 (assume-push @p4818 @t322) % 15.92/16.22 (assume-push @p4819 @t180) % 15.92/16.22 (step @p2964 :rule false_intro :premises (@p4791)) % 15.92/16.22 (step @p2965 :rule symm :premises (@p4785)) % 15.92/16.22 (step @p169 :rule refl :args (tptp.sk_c11)) % 15.92/16.22 (step @p2966 :rule cong :premises (@p169 @p2965) :args (@t206)) % 15.92/16.22 (step @p2967 :rule symm :premises (@p2966)) % 15.92/16.22 (step @p2968 :rule cong :premises (@p4786 @p4785) :args (@t12)) % 15.92/16.22 (step @p2969 :rule symm :premises (@p2968)) % 15.92/16.22 (step @p201 :rule cong :premises (@p75 @p169) :args (@t127)) % 15.92/16.22 (step @p2970 :rule trans :premises (@p201 @p80 @p2969 @p2967)) % 15.92/16.22 (step @p2971 :rule symm :premises (@p2970)) % 15.92/16.22 (step @p2972 :rule trans :premises (@p2967 @p2971)) % 15.92/16.22 (step @p2973 :rule symm :premises (@p2972)) % 15.92/16.22 (step 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15.92/16.22 (assume-push @p4846 @t345) % 15.92/16.22 (assume-push @p4847 @t336) % 15.92/16.22 (assume-push @p4848 @t337) % 15.92/16.22 (assume-push @p4849 @t341) % 15.92/16.22 (step @p168 :rule symm :premises (@p69)) % 15.92/16.22 (step @p89 :rule refl :args (tptp.sk_c10)) % 15.92/16.22 (step @p2778 :rule cong :premises (@p73 @p89) :args (@t129)) % 15.92/16.22 (step @p2787 :rule symm :premises (@p2778)) % 15.92/16.22 (step @p2788 :rule symm :premises (@p84)) % 15.92/16.22 (step @p3018 :rule symm :premises (@p4785)) % 15.92/16.22 (step @p3019 :rule symm :premises (@p4786)) % 15.92/16.22 (step @p3020 :rule cong :premises (@p3019 @p3018) :args (@t153)) % 15.92/16.22 (step @p169 :rule refl :args (tptp.sk_c11)) % 15.92/16.22 (step @p201 :rule cong :premises (@p75 @p169) :args (@t127)) % 15.92/16.22 (step @p3021 :rule trans :premises (@p68 @p201 @p80 @p3020)) % 15.92/16.22 (step @p177 :rule refl :args (@t34)) % 15.92/16.22 (step @p3022 :rule cong :premises (@p177 @p3021) :args (@t131)) % 15.92/16.22 (step @p3023 :rule symm :premises (@p79)) % 15.92/16.22 (step @p3024 :rule symm :premises (@p77)) % 15.92/16.22 (step @p3025 :rule refl :args (tptp.sk_c8)) % 15.92/16.22 (step @p3026 :rule symm :premises (@p78)) % 15.92/16.22 (step @p3027 :rule cong :premises (@p3026 @p3025) :args (@t344)) % 15.92/16.22 (step @p3028 :rule symm :premises (@p81)) % 15.92/16.22 (step @p3029 :rule refl :args (@t27)) % 15.92/16.22 (step @p3030 :rule cong :premises (@p3029 @p4789) :args ((tptp.multiply @t27 tptp.sk_c11))) % 15.92/16.22 (step @p3031 :rule cong :premises (@p4790 @p169) :args (@t338)) % 15.92/16.22 (step @p3032 :rule trans :premises (@p3031 @p3030 @p3028 @p3027 @p3024)) % 15.92/16.22 (step @p3033 :rule refl :args (@t106)) % 15.92/16.22 (step @p3034 :rule cong :premises (@p3033 @p3032) :args (@t339)) % 15.92/16.22 (step @p3035 :rule cong :premises (@p79 @p169) :args (@t127)) % 15.92/16.22 (step @p3036 :rule trans :premises (@p68 @p3035 @p82 @p3034 @p3023 @p73 @p3022 @p2788 @p2787 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scope :premises (@p4864)) % 15.92/16.22 (step @p3037 :rule process_scope :premises (@p4865) :args (@t203)) % 15.92/16.22 (step @p3054 :rule and_intro :premises (@p4788 @p69 @p73 @p84 @p4786 @p4785 @p80 @p75 @p68 @p79 @p77 @p78 @p81 @p4789 @p4790 @p82)) % 15.92/16.22 (step @p3055 :rule modus_ponens :premises (@p3054 @p3037)) % 15.92/16.22 (step @p3056 :rule and_intro :premises (@p68 @p3055 @p4788 @p3001)) % 15.92/16.22 (step-pop @p4866 :rule scope :premises (@p3056)) % 15.92/16.22 (step-pop @p4867 :rule scope :premises (@p4866)) % 15.92/16.22 (step-pop @p4868 :rule scope :premises (@p4867)) % 15.92/16.22 (step-pop @p4869 :rule scope :premises (@p4868)) % 15.92/16.22 (step-pop @p4870 :rule scope :premises (@p4869)) % 15.92/16.22 (step-pop @p4871 :rule scope :premises (@p4870)) % 15.92/16.22 (step-pop @p4872 :rule scope :premises (@p4871)) % 15.92/16.22 (step-pop @p4873 :rule scope :premises (@p4872)) % 15.92/16.22 (step-pop @p4874 :rule scope :premises (@p4873)) % 15.92/16.22 (step-pop @p4875 :rule scope :premises (@p4874)) % 15.92/16.22 (step-pop @p4876 :rule scope :premises (@p4875)) % 15.92/16.22 (step-pop @p4877 :rule scope :premises (@p4876)) % 15.92/16.22 (step-pop @p4878 :rule scope :premises (@p4877)) % 15.92/16.22 (step-pop @p4879 :rule scope :premises (@p4878)) % 15.92/16.22 (step-pop @p4880 :rule scope :premises (@p4879)) % 15.92/16.22 (step-pop @p4881 :rule scope :premises (@p4880)) % 15.92/16.22 (step-pop @p4882 :rule scope :premises (@p4881)) % 15.92/16.22 (step-pop @p4883 :rule scope :premises (@p4882)) % 15.92/16.22 (step-pop @p4884 :rule scope :premises (@p4883)) % 15.92/16.22 (step-pop @p4885 :rule scope :premises (@p4884)) % 15.92/16.22 (step-pop @p4886 :rule scope :premises (@p4885)) % 15.92/16.22 (step @p3057 :rule process_scope :premises (@p4886) :args (@t359)) % 15.92/16.22 (step @p3079 :rule implies_elim :premises (@p3057)) % 15.92/16.22 (step @p3080 :rule resolution :premises (@p3079 @p2924) :args (true @t359)) % 15.92/16.22 (step @p3081 :rule not_and :premises (@p3080)) % 15.92/16.22 (step @p3082 :rule eq_resolve :premises (@p3081 @p2911)) % 15.92/16.22 (step @p3083 :rule reordering :premises (@p3082) :args ((or @t125 @t118 @t117 @t200 @t199 @t356 @t355 @t170 @t169 @t168 @t354 @t167 @t196 @t352 @t350 @t348 @t160 @t346 @t342 @t323 @t320))) % 15.92/16.22 (step @p3084 false :rule chain_m_resolution :premises (@p3083 @p2901 @p2897 @p2893 @p2890 @p2887 @p2884 @p2881 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p69 @p68) :args (false (@list false false false false false false true false false false false false false false false false false false false false false) (@list @t337 @t336 @t116 @t115 @t114 @t113 @t125 @t319 @t322 @t341 @t345 @t155 @t347 @t349 @t351 @t180 @t134 @t353 @t132 @t130 @t128))) % 15.92/16.22 ) % 15.92/16.22 % SZS output end Proof % 15.92/16.22 % cvc5 exiting %------------------------------------------------------------------------------