%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP377-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:20:38 AM UTC 2026 % Result : Unsatisfiable 15.92s 16.23s % Output : Proof 15.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP377-1 : TPTP v9.2.1. Released v2.5.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n008.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 01:03:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.84/16.09 --- Run --no-e-matching --full-saturate-quant at 6... % 15.92/16.23 % SZS status Unsatisfiable % 15.92/16.23 % SZS output start Proof % 15.92/16.25 ( % 15.92/16.25 (declare-sort $$unsorted 0) % 15.92/16.25 (declare-const tptp.sk_c6 $$unsorted) % 15.92/16.25 (declare-const tptp.sk_c5 $$unsorted) % 15.92/16.25 (declare-const tptp.sk_c4 $$unsorted) % 15.92/16.25 (declare-const tptp.sk_c7 $$unsorted) % 15.92/16.25 (declare-const tptp.sk_c3 $$unsorted) % 15.92/16.25 (declare-const tptp.sk_c1 $$unsorted) % 15.92/16.25 (declare-const tptp.sk_c2 $$unsorted) % 15.92/16.25 (declare-const tptp.sk_c10 $$unsorted) % 15.92/16.25 (declare-const tptp.sk_c9 $$unsorted) % 15.92/16.25 (declare-const tptp.sk_c8 $$unsorted) % 15.92/16.25 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.92/16.25 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.92/16.25 (declare-const tptp.identity $$unsorted) % 15.92/16.25 (define @t1 () (@var "X" $$unsorted)) % 15.92/16.25 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.92/16.25 (define @t3 () (@list @t1)) % 15.92/16.25 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.92/16.25 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.92/16.25 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.92/16.25 (define @t7 () (@var "Z" $$unsorted)) % 15.92/16.25 (define @t8 () (@var "Y" $$unsorted)) % 15.92/16.25 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.92/16.25 (define @t10 () (tptp.multiply tptp.sk_c2 tptp.sk_c10)) % 15.92/16.25 (define @t11 () (= @t10 tptp.sk_c9)) % 15.92/16.25 (define @t12 () (tptp.inverse tptp.sk_c10)) % 15.92/16.25 (define @t13 () (= @t12 tptp.sk_c9)) % 15.92/16.25 (define @t14 () (or @t13 @t11)) % 15.92/16.25 (define @t15 () (tptp.inverse tptp.sk_c2)) % 15.92/16.25 (define @t16 () (= @t15 tptp.sk_c10)) % 15.92/16.25 (define @t17 () (or @t13 @t16)) % 15.92/16.25 (define @t18 () (tptp.multiply tptp.sk_c3 tptp.sk_c9)) % 15.92/16.25 (define @t19 () (= @t18 tptp.sk_c8)) % 15.92/16.25 (define @t20 () (tptp.inverse tptp.sk_c3)) % 15.92/16.25 (define @t21 () (= @t20 tptp.sk_c9)) % 15.92/16.25 (define @t22 () (or @t13 @t21)) % 15.92/16.25 (define @t23 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 15.92/16.25 (define @t24 () (= @t23 tptp.sk_c10)) % 15.92/16.25 (define @t25 () (or @t13 @t24)) % 15.92/16.25 (define @t26 () (tptp.inverse tptp.sk_c4)) % 15.92/16.25 (define @t27 () (= @t26 tptp.sk_c7)) % 15.92/16.25 (define @t28 () (or @t13 @t27)) % 15.92/16.25 (define @t29 () (tptp.multiply tptp.sk_c7 tptp.sk_c9)) % 15.92/16.25 (define @t30 () (= @t29 tptp.sk_c10)) % 15.92/16.25 (define @t31 () (or @t13 @t30)) % 15.92/16.25 (define @t32 () (tptp.inverse tptp.sk_c6)) % 15.92/16.25 (define @t33 () (= @t32 tptp.sk_c5)) % 15.92/16.25 (define @t34 () (or @t13 @t33)) % 15.92/16.25 (define @t35 () (tptp.inverse tptp.sk_c5)) % 15.92/16.25 (define @t36 () (= @t35 tptp.sk_c7)) % 15.92/16.25 (define @t37 () (or @t13 @t36)) % 15.92/16.25 (define @t38 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 15.92/16.25 (define @t39 () (= @t38 tptp.sk_c5)) % 15.92/16.25 (define @t40 () (or @t13 @t39)) % 15.92/16.25 (define @t41 () (tptp.multiply tptp.sk_c1 tptp.sk_c10)) % 15.92/16.25 (define @t42 () (= @t41 tptp.sk_c9)) % 15.92/16.25 (define @t43 () (or @t42 @t11)) % 15.92/16.25 (define @t44 () (or @t42 @t16)) % 15.92/16.25 (define @t45 () (or @t42 @t19)) % 15.92/16.25 (define @t46 () (or @t42 @t21)) % 15.92/16.25 (define @t47 () (tptp.inverse tptp.sk_c1)) % 15.92/16.25 (define @t48 () (= @t47 tptp.sk_c10)) % 15.92/16.25 (define @t49 () (or @t48 @t11)) % 15.92/16.25 (define @t50 () (or @t48 @t16)) % 15.92/16.25 (define @t51 () (or @t48 @t19)) % 15.92/16.25 (define @t52 () (or @t48 @t21)) % 15.92/16.25 (define @t53 () (tptp.multiply tptp.sk_c8 tptp.sk_c9)) % 15.92/16.25 (define @t54 () (= @t53 tptp.sk_c10)) % 15.92/16.25 (define @t55 () (or @t54 @t19)) % 15.92/16.25 (define @t56 () (or @t54 @t21)) % 15.92/16.25 (define @t57 () (@var "X7" $$unsorted)) % 15.92/16.25 (define @t58 () (@var "X5" $$unsorted)) % 15.92/16.25 (define @t59 () (@var "X6" $$unsorted)) % 15.92/16.25 (define @t60 () (tptp.multiply @t59 @t58)) % 15.92/16.25 (define @t61 () (not (= @t60 @t57))) % 15.92/16.25 (define @t62 () (tptp.inverse @t57)) % 15.92/16.25 (define @t63 () (not (= @t62 @t58))) % 15.92/16.25 (define @t64 () (tptp.inverse @t59)) % 15.92/16.25 (define @t65 () (not (= @t64 @t57))) % 15.92/16.25 (define @t66 () (tptp.multiply @t58 tptp.sk_c9)) % 15.92/16.25 (define @t67 () (not (= @t66 tptp.sk_c10))) % 15.92/16.25 (define @t68 () (@var "X4" $$unsorted)) % 15.92/16.25 (define @t69 () (tptp.inverse @t68)) % 15.92/16.25 (define @t70 () (not (= @t69 @t58))) % 15.92/16.25 (define @t71 () (tptp.multiply @t68 @t58)) % 15.92/16.25 (define @t72 () (not (= @t71 tptp.sk_c10))) % 15.92/16.25 (define @t73 () (@var "X3" $$unsorted)) % 15.92/16.25 (define @t74 () (tptp.inverse @t73)) % 15.92/16.25 (define @t75 () (not (= @t74 tptp.sk_c9))) % 15.92/16.25 (define @t76 () (tptp.multiply @t73 tptp.sk_c9)) % 15.92/16.25 (define @t77 () (not (= @t76 tptp.sk_c8))) % 15.92/16.25 (define @t78 () (@var "X1" $$unsorted)) % 15.92/16.25 (define @t79 () (tptp.inverse @t78)) % 15.92/16.25 (define @t80 () (not (= @t79 tptp.sk_c10))) % 15.92/16.25 (define @t81 () (tptp.multiply @t78 tptp.sk_c10)) % 15.92/16.25 (define @t82 () (not (= @t81 tptp.sk_c9))) % 15.92/16.25 (define @t83 () (not @t54)) % 15.92/16.25 (define @t84 () (@var "X2" $$unsorted)) % 15.92/16.25 (define @t85 () (tptp.inverse @t84)) % 15.92/16.25 (define @t86 () (not (= @t85 tptp.sk_c10))) % 15.92/16.25 (define @t87 () (tptp.multiply @t84 tptp.sk_c10)) % 15.92/16.25 (define @t88 () (not (= @t87 tptp.sk_c9))) % 15.92/16.25 (define @t89 () (not @t13)) % 15.92/16.25 (define @t90 () (or @t89 @t88 @t86 @t83 @t82 @t80 @t77 @t75 @t72 @t70 @t67 @t65 @t63 @t61)) % 15.92/16.25 (define @t91 () (@list @t84 @t78 @t73 @t68 @t58 @t59 @t57)) % 15.92/16.25 (define @t92 () (forall @t91 @t90)) % 15.92/16.25 (define @t93 () (@list tptp.sk_c10)) % 15.92/16.25 (define @t94 () (@list tptp.sk_c2)) % 15.92/16.25 (define @t95 () (@list tptp.sk_c3)) % 15.92/16.25 (define @t96 () (@list @t15)) % 15.92/16.25 (define @t97 () (@list tptp.sk_c4)) % 15.92/16.25 (define @t98 () (@list tptp.sk_c6)) % 15.92/16.25 (define @t99 () (tptp.inverse @t15)) % 15.92/16.25 (define @t100 () (= tptp.sk_c10 @t47)) % 15.92/16.25 (define @t101 () (= tptp.sk_c9 @t10)) % 15.92/16.25 (define @t102 () (= tptp.sk_c10 @t15)) % 15.92/16.25 (define @t103 () (= tptp.sk_c8 @t18)) % 15.92/16.25 (define @t104 () (= tptp.sk_c9 @t20)) % 15.92/16.25 (define @t105 () (not @t104)) % 15.92/16.25 (define @t106 () (not @t103)) % 15.92/16.25 (define @t107 () (or @t106 @t105)) % 15.92/16.25 (define @t108 () (not (= tptp.sk_c9 @t74))) % 15.92/16.25 (define @t109 () (not (= tptp.sk_c8 @t76))) % 15.92/16.25 (define @t110 () (or @t109 @t108)) % 15.92/16.25 (define @t111 () (forall (@list @t73) @t110)) % 15.92/16.25 (define @t112 () (= tptp.sk_c9 @t12)) % 15.92/16.25 (define @t113 () (tptp.multiply tptp.identity tptp.identity)) % 15.92/16.25 (define @t114 () (= tptp.identity @t113)) % 15.92/16.25 (define @t115 () (tptp.multiply tptp.identity tptp.sk_c9)) % 15.92/16.25 (define @t116 () (= tptp.sk_c9 @t115)) % 15.92/16.25 (define @t117 () (tptp.multiply tptp.identity tptp.sk_c10)) % 15.92/16.25 (define @t118 () (= tptp.sk_c10 @t117)) % 15.92/16.25 (define @t119 () (tptp.multiply @t12 tptp.sk_c10)) % 15.92/16.25 (define @t120 () (= tptp.identity @t119)) % 15.92/16.25 (define @t121 () (tptp.multiply tptp.identity tptp.sk_c2)) % 15.92/16.25 (define @t122 () (= tptp.sk_c2 @t121)) % 15.92/16.25 (define @t123 () (tptp.multiply tptp.identity tptp.sk_c3)) % 15.92/16.25 (define @t124 () (= tptp.sk_c3 @t123)) % 15.92/16.25 (define @t125 () (tptp.multiply @t15 tptp.sk_c2)) % 15.92/16.25 (define @t126 () (= tptp.identity @t125)) % 15.92/16.25 (define @t127 () (tptp.multiply @t99 @t15)) % 15.92/16.25 (define @t128 () (= tptp.identity @t127)) % 15.92/16.25 (define @t129 () (tptp.multiply @t20 tptp.sk_c3)) % 15.92/16.25 (define @t130 () (= tptp.identity @t129)) % 15.92/16.25 (define @t131 () (tptp.multiply tptp.sk_c9 @t117)) % 15.92/16.25 (define @t132 () (tptp.multiply tptp.sk_c9 tptp.identity)) % 15.92/16.25 (define @t133 () (tptp.multiply @t132 tptp.sk_c10)) % 15.92/16.25 (define @t134 () (= @t133 @t131)) % 15.92/16.25 (define @t135 () (tptp.multiply @t99 @t125)) % 15.92/16.25 (define @t136 () (tptp.multiply @t127 tptp.sk_c2)) % 15.92/16.25 (define @t137 () (= @t136 @t135)) % 15.92/16.25 (define @t138 () (= tptp.sk_c8 @t53)) % 15.92/16.25 (define @t139 () (= tptp.sk_c8 @t115)) % 15.92/16.25 (define @t140 () (= tptp.sk_c9 @t15)) % 15.92/16.25 (define @t141 () (= tptp.sk_c10 @t53)) % 15.92/16.25 (define @t142 () (tptp.multiply @t113 tptp.sk_c10)) % 15.92/16.25 (define @t143 () (tptp.multiply tptp.identity @t117)) % 15.92/16.25 (define @t144 () (tptp.multiply tptp.sk_c9 tptp.sk_c10)) % 15.92/16.25 (define @t145 () (tptp.multiply @t99 @t144)) % 15.92/16.25 (define @t146 () (tptp.multiply tptp.sk_c8 tptp.sk_c10)) % 15.92/16.25 (define @t147 () (and @t112 @t101 @t102 @t103 @t104 @t114 @t116 @t118 @t120 @t122 @t124 @t126 @t128 @t130 @t134 @t137)) % 15.92/16.25 (define @t148 () (not @t137)) % 15.92/16.25 (define @t149 () (not @t130)) % 15.92/16.25 (define @t150 () (not @t128)) % 15.92/16.25 (define @t151 () (not @t126)) % 15.92/16.25 (define @t152 () (not @t124)) % 15.92/16.25 (define @t153 () (not @t122)) % 15.92/16.25 (define @t154 () (not @t120)) % 15.92/16.25 (define @t155 () (not @t118)) % 15.92/16.25 (define @t156 () (not @t116)) % 15.92/16.25 (define @t157 () (not @t114)) % 15.92/16.25 (define @t158 () (not @t102)) % 15.92/16.25 (define @t159 () (not @t101)) % 15.92/16.25 (define @t160 () (not @t112)) % 15.92/16.25 (define @t161 () (or @t159 @t158)) % 15.92/16.25 (define @t162 () (not (= tptp.sk_c10 @t85))) % 15.92/16.25 (define @t163 () (not (= tptp.sk_c9 @t87))) % 15.92/16.25 (define @t164 () (or @t163 @t162)) % 15.92/16.25 (define @t165 () (forall (@list @t84) @t164)) % 15.92/16.25 (define @t166 () (tptp.multiply @t59 @t69)) % 15.92/16.25 (define @t167 () (not (= @t64 @t166))) % 15.92/16.25 (define @t168 () (not (= @t69 (tptp.inverse @t64)))) % 15.92/16.25 (define @t169 () (not (= tptp.sk_c10 (tptp.multiply @t69 tptp.sk_c9)))) % 15.92/16.25 (define @t170 () (not (= tptp.sk_c10 (tptp.multiply @t68 @t69)))) % 15.92/16.25 (define @t171 () (or @t170 @t169 @t168 @t167)) % 15.92/16.25 (define @t172 () (not (= @t64 @t64))) % 15.92/16.25 (define @t173 () (or @t170 @t169 @t172 @t168 @t167)) % 15.92/16.25 (define @t174 () (@list @t68 @t59)) % 15.92/16.25 (define @t175 () (not (= @t57 @t166))) % 15.92/16.25 (define @t176 () (not (= @t69 @t62))) % 15.92/16.25 (define @t177 () (not (= @t57 @t64))) % 15.92/16.25 (define @t178 () (or @t177 @t170 @t169 @t177 @t176 @t175)) % 15.92/16.25 (define @t179 () (@list @t57)) % 15.92/16.25 (define @t180 () (or @t170 @t169 @t177 @t176 @t175)) % 15.92/16.25 (define @t181 () (forall @t179 @t180)) % 15.92/16.25 (define @t182 () (forall @t174 @t181)) % 15.92/16.25 (define @t183 () (@list @t68 @t59 @t57)) % 15.92/16.25 (define @t184 () (not (= @t69 @t69))) % 15.92/16.25 (define @t185 () (or @t170 @t184 @t169 @t177 @t176 @t175)) % 15.92/16.25 (define @t186 () (not (= @t57 @t60))) % 15.92/16.25 (define @t187 () (not (= @t58 @t62))) % 15.92/16.25 (define @t188 () (not (= tptp.sk_c10 @t66))) % 15.92/16.25 (define @t189 () (not (= @t58 @t69))) % 15.92/16.25 (define @t190 () (not (= tptp.sk_c10 @t71))) % 15.92/16.25 (define @t191 () (or @t189 @t190 @t189 @t188 @t177 @t187 @t186)) % 15.92/16.25 (define @t192 () (@list @t58)) % 15.92/16.25 (define @t193 () (or @t190 @t189 @t188 @t177 @t187 @t186)) % 15.92/16.25 (define @t194 () (forall @t192 @t193)) % 15.92/16.25 (define @t195 () (forall @t183 @t194)) % 15.92/16.25 (define @t196 () (forall (@list @t68 @t59 @t57 @t58) @t193)) % 15.92/16.25 (define @t197 () (forall (@list @t68 @t58 @t59 @t57) @t193)) % 15.92/16.25 (define @t198 () (not (= tptp.sk_c10 @t79))) % 15.92/16.25 (define @t199 () (not (= tptp.sk_c9 @t81))) % 15.92/16.25 (define @t200 () (or @t199 @t198)) % 15.92/16.25 (define @t201 () (forall (@list @t78) @t200)) % 15.92/16.25 (define @t202 () (not @t141)) % 15.92/16.25 (define @t203 () (or @t160 @t202 @t165 @t201 @t111 @t197)) % 15.92/16.25 (define @t204 () (or @t160 @t202 @t164 @t200 @t110 @t193)) % 15.92/16.25 (define @t205 () (or @t160 @t163 @t162 @t202 @t199 @t198 @t109 @t108 @t190 @t189 @t188 @t177 @t187 @t186)) % 15.92/16.25 (define @t206 () (forall @t174 @t171)) % 15.92/16.25 (define @t207 () (= @t12 (tptp.multiply tptp.sk_c10 @t15))) % 15.92/16.25 (define @t208 () (not @t207)) % 15.92/16.25 (define @t209 () (tptp.inverse @t12)) % 15.92/16.25 (define @t210 () (= @t15 @t209)) % 15.92/16.25 (define @t211 () (not @t210)) % 15.92/16.25 (define @t212 () (= tptp.sk_c10 (tptp.multiply @t15 tptp.sk_c9))) % 15.92/16.25 (define @t213 () (not @t212)) % 15.92/16.25 (define @t214 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c2 @t15))) % 15.92/16.25 (define @t215 () (not @t214)) % 15.92/16.25 (define @t216 () (or @t215 @t213 @t211 @t208)) % 15.92/16.25 (define @t217 () (and @t112 @t101 @t102 @t114 @t118 @t120 @t122 @t126 @t128 @t134 @t137)) % 15.92/16.25 (define @t218 () (tptp.inverse tptp.identity)) % 15.92/16.25 (define @t219 () (tptp.multiply tptp.identity @t15)) % 15.92/16.25 (define @t220 () (= @t15 @t219)) % 15.92/16.25 (define @t221 () (tptp.multiply tptp.sk_c10 tptp.sk_c9)) % 15.92/16.25 (define @t222 () (tptp.multiply @t12 @t221)) % 15.92/16.25 (define @t223 () (= (tptp.multiply @t119 tptp.sk_c9) @t222)) % 15.92/16.25 (define @t224 () (tptp.multiply @t15 tptp.identity)) % 15.92/16.25 (define @t225 () (tptp.multiply @t219 tptp.identity)) % 15.92/16.25 (define @t226 () (= @t225 (tptp.multiply tptp.identity @t224))) % 15.92/16.25 (define @t227 () (and @t112 @t101 @t102 @t114 @t116 @t118 @t120 @t122 @t126 @t220 @t128 @t223 @t134 @t226 @t137)) % 15.92/16.25 (define @t228 () (@list @t47 tptp.sk_c1 tptp.sk_c10)) % 15.92/16.25 (define @t229 () (tptp.multiply @t47 @t41)) % 15.92/16.25 (define @t230 () (tptp.multiply @t47 tptp.sk_c1)) % 15.92/16.25 (define @t231 () (tptp.multiply @t230 tptp.sk_c10)) % 15.92/16.25 (define @t232 () (= @t231 @t229)) % 15.92/16.25 (define @t233 () (forall @t3 (= tptp.identity @t5))) % 15.92/16.25 (define @t234 () (@list tptp.sk_c1)) % 15.92/16.25 (define @t235 () (= tptp.identity @t230)) % 15.92/16.25 (define @t236 () (forall @t3 (= @t1 @t2))) % 15.92/16.25 (define @t237 () (= tptp.sk_c9 @t41)) % 15.92/16.25 (define @t238 () (= tptp.sk_c9 @t47)) % 15.92/16.25 (define @t239 () (and @t112 @t237 @t100 @t114 @t116 @t118 @t120 @t235 @t232 @t223)) % 15.92/16.25 (define @t240 () (not @t223)) % 15.92/16.25 (define @t241 () (not @t232)) % 15.92/16.25 (define @t242 () (not @t235)) % 15.92/16.25 (define @t243 () (not @t100)) % 15.92/16.25 (define @t244 () (not @t237)) % 15.92/16.25 (define @t245 () (or @t244 @t243)) % 15.92/16.25 (define @t246 () (tptp.multiply tptp.identity tptp.sk_c1)) % 15.92/16.25 (define @t247 () (= tptp.sk_c1 @t246)) % 15.92/16.25 (define @t248 () (tptp.multiply tptp.sk_c10 tptp.sk_c1)) % 15.92/16.25 (define @t249 () (tptp.multiply @t12 @t248)) % 15.92/16.25 (define @t250 () (tptp.multiply @t119 tptp.sk_c1)) % 15.92/16.25 (define @t251 () (= @t250 @t249)) % 15.92/16.25 (define @t252 () (tptp.multiply tptp.sk_c1 @t221)) % 15.92/16.25 (define @t253 () (tptp.multiply @t41 tptp.sk_c9)) % 15.92/16.25 (define @t254 () (= @t253 @t252)) % 15.92/16.25 (define @t255 () (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 @t47))) % 15.92/16.25 (define @t256 () (and @t112 @t237 @t100 @t114 @t116 @t118 @t120 @t247 @t235 @t251 @t232 @t223 @t254)) % 15.92/16.25 (define @t257 () (= tptp.sk_c10 (tptp.multiply @t47 tptp.sk_c9))) % 15.92/16.25 (define @t258 () (= @t47 @t209)) % 15.92/16.25 (define @t259 () (= @t12 (tptp.multiply tptp.sk_c10 @t47))) % 15.92/16.25 (define @t260 () (not @t259)) % 15.92/16.25 (define @t261 () (not @t258)) % 15.92/16.25 (define @t262 () (not @t257)) % 15.92/16.25 (define @t263 () (not @t255)) % 15.92/16.25 (define @t264 () (or @t263 @t262 @t261 @t260)) % 15.92/16.25 (define @t265 () (not @t238)) % 15.92/16.25 (define @t266 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) % 15.92/16.25 (define @t267 () (not @t266)) % 15.92/16.25 (define @t268 () (or @t267 @t265)) % 15.92/16.25 (define @t269 () (@list tptp.sk_c8)) % 15.92/16.25 (define @t270 () (tptp.inverse tptp.sk_c8)) % 15.92/16.25 (define @t271 () (tptp.multiply tptp.identity tptp.sk_c8)) % 15.92/16.25 (define @t272 () (= tptp.sk_c8 @t271)) % 15.92/16.25 (define @t273 () (tptp.multiply @t132 tptp.sk_c9)) % 15.92/16.25 (define @t274 () (= @t273 (tptp.multiply tptp.sk_c9 @t115))) % 15.92/16.25 (define @t275 () (tptp.multiply @t270 tptp.sk_c8)) % 15.92/16.25 (define @t276 () (= tptp.identity @t275)) % 15.92/16.25 (define @t277 () (tptp.multiply @t270 @t146)) % 15.92/16.25 (define @t278 () (= (tptp.multiply @t275 tptp.sk_c10) @t277)) % 15.92/16.25 (define @t279 () (tptp.multiply tptp.sk_c9 tptp.sk_c8)) % 15.92/16.25 (define @t280 () (tptp.multiply @t270 @t279)) % 15.92/16.25 (define @t281 () (= (tptp.multiply (tptp.multiply @t270 tptp.sk_c9) tptp.sk_c8) @t280)) % 15.92/16.25 (define @t282 () (and @t112 @t237 @t100 @t141 @t114 @t116 @t118 @t120 @t272 @t274 @t276 @t247 @t235 @t251 @t232 @t223 @t254 @t278 @t281)) % 15.92/16.25 (define @t283 () (and @t116 @t139 @t138 @t238 @t100 @t202)) % 15.92/16.25 (define @t284 () (@list true)) % 15.92/16.25 (define @t285 () (@list @t112)) % 15.92/16.25 (define @t286 () (= tptp.sk_c10 @t23)) % 15.92/16.25 (define @t287 () (= tptp.sk_c7 @t26)) % 15.92/16.25 (define @t288 () (= tptp.sk_c10 @t29)) % 15.92/16.25 (define @t289 () (= tptp.sk_c5 @t32)) % 15.92/16.25 (define @t290 () (= tptp.sk_c7 @t35)) % 15.92/16.25 (define @t291 () (= tptp.sk_c5 @t38)) % 15.92/16.25 (define @t292 () (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) % 15.92/16.25 (define @t293 () (tptp.multiply @t26 tptp.sk_c4)) % 15.92/16.25 (define @t294 () (= tptp.identity @t293)) % 15.92/16.25 (define @t295 () (tptp.multiply tptp.identity tptp.sk_c6)) % 15.92/16.25 (define @t296 () (= tptp.sk_c6 @t295)) % 15.92/16.25 (define @t297 () (= tptp.identity (tptp.multiply @t32 tptp.sk_c6))) % 15.92/16.25 (define @t298 () (tptp.multiply @t35 tptp.sk_c5)) % 15.92/16.25 (define @t299 () (= tptp.identity @t298)) % 15.92/16.25 (define @t300 () (tptp.multiply @t135 tptp.sk_c10)) % 15.92/16.25 (define @t301 () (= @t300 (tptp.multiply @t99 (tptp.multiply @t125 tptp.sk_c10)))) % 15.92/16.25 (define @t302 () (tptp.multiply tptp.sk_c5 tptp.sk_c6)) % 15.92/16.25 (define @t303 () (tptp.multiply @t35 @t302)) % 15.92/16.25 (define @t304 () (= (tptp.multiply @t298 tptp.sk_c6) @t303)) % 15.92/16.25 (define @t305 () (tptp.multiply tptp.sk_c6 @t29)) % 15.92/16.25 (define @t306 () (= (tptp.multiply @t38 tptp.sk_c9) @t305)) % 15.92/16.25 (define @t307 () (tptp.multiply @t10 tptp.sk_c10)) % 15.92/16.25 (define @t308 () (= @t307 (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) % 15.92/16.25 (define @t309 () (tptp.multiply @t23 tptp.sk_c4)) % 15.92/16.25 (define @t310 () (= @t309 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4)))) % 15.92/16.25 (define @t311 () (tptp.multiply tptp.sk_c9 tptp.sk_c4)) % 15.92/16.25 (define @t312 () (tptp.multiply tptp.sk_c7 @t311)) % 15.92/16.25 (define @t313 () (= (tptp.multiply @t29 tptp.sk_c4) @t312)) % 15.92/16.25 (define @t314 () (tptp.multiply tptp.sk_c4 tptp.sk_c9)) % 15.92/16.25 (define @t315 () (tptp.multiply @t26 @t314)) % 15.92/16.25 (define @t316 () (= (tptp.multiply @t293 tptp.sk_c9) @t315)) % 15.92/16.25 (define @t317 () (tptp.multiply tptp.sk_c2 tptp.sk_c2)) % 15.92/16.25 (define @t318 () (and @t101 @t102 @t104 @t286 @t287 @t288 @t289 @t290 @t291 @t114 @t118 @t122 @t124 @t126 @t220 @t128 @t130 @t292 @t294 @t296 @t297 @t299 @t137 @t301 @t304 @t306 @t308 @t310 @t313 @t316)) % 15.92/16.25 (assume @p1 @t4) % 15.92/16.25 (assume @p2 @t6) % 15.92/16.25 (assume @p3 @t9) % 15.92/16.25 (assume @p4 @t14) % 15.92/16.25 (assume @p5 @t17) % 15.92/16.25 (assume @p6 (or @t13 @t19)) % 15.92/16.25 (assume @p7 @t22) % 15.92/16.25 (assume @p8 @t25) % 15.92/16.25 (assume @p9 @t28) % 15.92/16.25 (assume @p10 @t31) % 15.92/16.25 (assume @p11 @t34) % 15.92/16.25 (assume @p12 @t37) % 15.92/16.25 (assume @p13 @t40) % 15.92/16.25 (assume @p14 @t43) % 15.92/16.25 (assume @p15 @t44) % 15.92/16.25 (assume @p16 @t45) % 15.92/16.25 (assume @p17 @t46) % 15.92/16.25 (assume @p18 (or @t42 @t24)) % 15.92/16.25 (assume @p19 (or @t42 @t27)) % 15.92/16.25 (assume @p20 (or @t42 @t30)) % 15.92/16.25 (assume @p21 (or @t42 @t33)) % 15.92/16.25 (assume @p22 (or @t42 @t36)) % 15.92/16.25 (assume @p23 (or @t42 @t39)) % 15.92/16.25 (assume @p24 @t49) % 15.92/16.25 (assume @p25 @t50) % 15.92/16.25 (assume @p26 @t51) % 15.92/16.25 (assume @p27 @t52) % 15.92/16.25 (assume @p28 (or @t48 @t24)) % 15.92/16.25 (assume @p29 (or @t48 @t27)) % 15.92/16.25 (assume @p30 (or @t48 @t30)) % 15.92/16.25 (assume @p31 (or @t48 @t33)) % 15.92/16.25 (assume @p32 (or @t48 @t36)) % 15.92/16.25 (assume @p33 (or @t48 @t39)) % 15.92/16.25 (assume @p34 (or @t54 @t11)) % 15.92/16.25 (assume @p35 (or @t54 @t16)) % 15.92/16.25 (assume @p36 @t55) % 15.92/16.25 (assume @p37 @t56) % 15.92/16.25 (assume @p38 (or @t54 @t24)) % 15.92/16.25 (assume @p39 (or @t54 @t27)) % 15.92/16.25 (assume @p40 (or @t54 @t30)) % 15.92/16.25 (assume @p41 (or @t54 @t33)) % 15.92/16.25 (assume @p42 (or @t54 @t36)) % 15.92/16.25 (assume @p43 (or @t54 @t39)) % 15.92/16.25 (assume @p44 @t92) % 15.92/16.25 (step @p45 :rule eq-symm :args (@t2 @t1)) % 15.92/16.25 (step @p46 :rule cong :premises (@p45) :args (@t4)) % 15.92/16.25 (step @p47 :rule eq_resolve :premises (@p1 @p46)) % 15.92/16.25 (step @p48 :rule instantiate :premises (@p47) :args ((@list tptp.identity))) % 15.92/16.25 (step @p49 :rule instantiate :premises (@p47) :args (@t93)) % 15.92/16.25 (step @p50 :rule instantiate :premises (@p47) :args (@t94)) % 15.92/16.25 (step @p51 :rule instantiate :premises (@p47) :args (@t95)) % 15.92/16.25 (step @p52 :rule eq-symm :args (@t5 tptp.identity)) % 15.92/16.25 (step @p53 :rule cong :premises (@p52) :args (@t6)) % 15.92/16.25 (step @p54 :rule eq_resolve :premises (@p2 @p53)) % 15.92/16.25 (step @p55 :rule instantiate :premises (@p54) :args (@t94)) % 15.92/16.25 (step @p56 :rule instantiate :premises (@p47) :args (@t96)) % 15.92/16.25 (step @p57 :rule instantiate :premises (@p54) :args (@t96)) % 15.92/16.25 (step @p58 :rule instantiate :premises (@p54) :args (@t95)) % 15.92/16.25 (step @p59 :rule instantiate :premises (@p47) :args (@t97)) % 15.92/16.25 (step @p60 :rule instantiate :premises (@p54) :args (@t97)) % 15.92/16.25 (step @p61 :rule instantiate :premises (@p47) :args (@t98)) % 15.92/16.25 (step @p62 :rule instantiate :premises (@p54) :args (@t98)) % 15.92/16.25 (step @p63 :rule instantiate :premises (@p54) :args ((@list tptp.sk_c5))) % 15.92/16.25 (step @p64 :rule instantiate :premises (@p3) :args ((@list @t99 @t15 tptp.sk_c2))) % 15.92/16.25 (step @p65 :rule eq-symm :args (@t10 tptp.sk_c9)) % 15.92/16.25 (step @p66 :rule eq-symm :args (@t47 tptp.sk_c10)) % 15.92/16.25 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t49)) % 15.92/16.25 (step @p68 :rule eq_resolve :premises (@p24 @p67)) % 15.92/16.25 (step @p69 :rule reordering :premises (@p68) :args ((or @t101 @t100))) % 15.92/16.25 (step @p70 :rule eq-symm :args (@t15 tptp.sk_c10)) % 15.92/16.25 (step @p71 :rule nary_cong :premises (@p66 @p70) :args (@t50)) % 15.92/16.25 (step @p72 :rule eq_resolve :premises (@p25 @p71)) % 15.92/16.25 (step @p73 :rule reordering :premises (@p72) :args ((or @t102 @t100))) % 15.92/16.25 (step @p74 :rule eq-symm :args (@t18 tptp.sk_c8)) % 15.92/16.25 (step @p75 :rule nary_cong :premises (@p66 @p74) :args (@t51)) % 15.92/16.25 (step @p76 :rule eq_resolve :premises (@p26 @p75)) % 15.92/16.25 (step @p77 :rule reordering :premises (@p76) :args ((or @t103 @t100))) % 15.92/16.25 (step @p78 :rule eq-symm :args (@t20 tptp.sk_c9)) % 15.92/16.25 (step @p79 :rule nary_cong :premises (@p66 @p78) :args (@t52)) % 15.92/16.25 (step @p80 :rule eq_resolve :premises (@p27 @p79)) % 15.92/16.25 (step @p81 :rule reordering :premises (@p80) :args ((or @t104 @t100))) % 15.92/16.25 (step @p82 :rule cnf_or_pos :args (@t107)) % 15.92/16.25 (step @p83 :rule reordering :premises (@p82) :args ((or @t106 @t105 (not @t107)))) % 15.92/16.25 (assume-push @p1757 @t111) % 15.92/16.25 (step @p85 :rule instantiate :premises (@p1757) :args (@t95)) % 15.92/16.25 (step-pop @p1758 :rule scope :premises (@p85)) % 15.92/16.25 (step @p86 :rule process_scope :premises (@p1758) :args (@t107)) % 15.92/16.25 (step @p88 :rule implies_elim :premises (@p86)) % 15.92/16.25 (step @p89 :rule instantiate :premises (@p47) :args ((@list tptp.sk_c9))) % 15.92/16.25 (step @p90 :rule instantiate :premises (@p54) :args (@t93)) % 15.92/16.25 (step @p91 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c9 tptp.identity tptp.sk_c10))) % 15.92/16.25 (assume-push @p1759 @t112) % 15.92/16.25 (assume-push @p1760 @t101) % 15.92/16.25 (assume-push @p1761 @t102) % 15.92/16.25 (assume-push @p1762 @t103) % 15.92/16.25 (assume-push @p1763 @t104) % 15.92/16.25 (assume-push @p1764 @t114) % 15.92/16.25 (assume-push @p1765 @t116) % 15.92/16.25 (assume-push @p1766 @t118) % 15.92/16.25 (assume-push @p1767 @t120) % 15.92/16.25 (assume-push @p1768 @t122) % 15.92/16.25 (assume-push @p1769 @t124) % 15.92/16.25 (assume-push @p1770 @t126) % 15.92/16.25 (assume-push @p1771 @t128) % 15.92/16.25 (assume-push @p1772 @t130) % 15.92/16.25 (assume-push @p1773 @t134) % 15.92/16.25 (assume-push @p1774 @t137) % 15.92/16.25 (assume-push @p1775 @t138) % 15.92/16.25 (assume-push @p1776 @t139) % 15.92/16.25 (assume-push @p1777 @t116) % 15.92/16.25 (assume-push @p1778 @t140) % 15.92/16.25 (assume-push @p1779 @t102) % 15.92/16.25 (step @p113 :rule symm :premises (@p1776)) % 15.92/16.25 (step @p114 :rule symm :premises (@p1778)) % 15.92/16.25 (step @p115 :rule trans :premises (@p1761 @p114 @p89 @p113 @p1775)) % 15.92/16.25 (step-pop @p1780 :rule scope :premises (@p115)) % 15.92/16.25 (step-pop @p1781 :rule scope :premises (@p1780)) % 15.92/16.25 (step-pop @p1782 :rule scope :premises (@p1781)) % 15.92/16.25 (step-pop @p1783 :rule scope :premises (@p1782)) % 15.92/16.25 (step-pop @p1784 :rule scope :premises (@p1783)) % 15.92/16.25 (step @p116 :rule process_scope :premises (@p1784) :args (@t141)) % 15.92/16.25 (assume-push @p1785 @t102) % 15.92/16.25 (assume-push @p1786 @t118) % 15.92/16.25 (assume-push @p1787 @t114) % 15.92/16.25 (assume-push @p1788 @t120) % 15.92/16.25 (assume-push @p1789 @t112) % 15.92/16.25 (assume-push @p1790 @t134) % 15.92/16.25 (assume-push @p1791 @t126) % 15.92/16.25 (assume-push @p1792 @t137) % 15.92/16.25 (assume-push @p1793 @t128) % 15.92/16.25 (assume-push @p1794 @t122) % 15.92/16.25 (assume-push @p1795 @t101) % 15.92/16.25 (step @p133 :rule symm :premises (@p49)) % 15.92/16.25 (step @p134 :rule refl :args (tptp.sk_c10)) % 15.92/16.25 (step @p135 :rule symm :premises (@p48)) % 15.92/16.25 (step @p136 :rule cong :premises (@p135 @p134) :args (@t142)) % 15.92/16.25 (step @p137 :rule cong :premises (@p48 @p133) :args (@t143)) % 15.92/16.25 (step @p138 :rule symm :premises (@p1761)) % 15.92/16.25 (step @p139 :rule trans :premises (@p138 @p49)) % 15.92/16.25 (step @p140 :rule symm :premises (@p90)) % 15.92/16.25 (step @p141 :rule cong :premises (@p1759 @p133) :args (@t131)) % 15.92/16.25 (step @p142 :rule refl :args (tptp.sk_c9)) % 15.92/16.25 (step @p143 :rule cong :premises (@p142 @p49) :args (@t144)) % 15.92/16.25 (step @p144 :rule trans :premises (@p143 @p141 @p140)) % 15.92/16.25 (step @p145 :rule symm :premises (@p1759)) % 15.92/16.25 (step @p146 :rule cong :premises (@p138) :args (@t99)) % 15.92/16.25 (step @p147 :rule trans :premises (@p146 @p145)) % 15.92/16.25 (step @p148 :rule cong :premises (@p147 @p144) :args (@t145)) % 15.92/16.25 (step @p149 :rule symm :premises (@p143)) % 15.92/16.25 (step @p150 :rule symm :premises (@p141)) % 15.92/16.25 (step @p151 :rule symm :premises (@p55)) % 15.92/16.25 (step @p152 :rule trans :premises (@p151 @p90 @p150 @p149)) % 15.92/16.25 (step @p153 :rule refl :args (@t99)) % 15.92/16.25 (step @p154 :rule cong :premises (@p153 @p152) :args (@t135)) % 15.92/16.25 (step @p155 :rule refl :args (tptp.sk_c2)) % 15.92/16.25 (step @p156 :rule cong :premises (@p57 @p155) :args (@t121)) % 15.92/16.25 (step @p157 :rule trans :premises (@p50 @p156 @p64 @p154 @p148)) % 15.92/16.25 (step @p158 :rule cong :premises (@p157 @p134) :args (@t10)) % 15.92/16.25 (step @p159 :rule trans :premises (@p1760 @p158 @p91 @p141 @p140)) % 15.92/16.25 (step @p160 :rule trans :premises (@p147 @p159)) % 15.92/16.25 (step @p161 :rule cong :premises (@p160 @p139) :args (@t127)) % 15.92/16.25 (step @p162 :rule trans :premises (@p1760 @p158 @p91 @p141 @p140 @p57 @p161 @p137 @p136 @p133 @p1761)) % 15.92/16.25 (step-pop @p1796 :rule scope :premises (@p162)) % 15.92/16.25 (step-pop @p1797 :rule scope :premises (@p1796)) % 15.92/16.25 (step-pop @p1798 :rule scope :premises (@p1797)) % 15.92/16.25 (step-pop @p1799 :rule scope :premises (@p1798)) % 15.92/16.25 (step-pop @p1800 :rule scope :premises (@p1799)) % 15.92/16.25 (step-pop @p1801 :rule scope :premises (@p1800)) % 15.92/16.25 (step-pop @p1802 :rule scope :premises (@p1801)) % 15.92/16.25 (step-pop @p1803 :rule scope :premises (@p1802)) % 15.92/16.25 (step-pop @p1804 :rule scope :premises (@p1803)) % 15.92/16.25 (step-pop @p1805 :rule scope :premises (@p1804)) % 15.92/16.25 (step-pop @p1806 :rule scope :premises (@p1805)) % 15.92/16.25 (step @p163 :rule process_scope :premises (@p1806) :args (@t140)) % 15.92/16.25 (step @p175 :rule and_intro :premises (@p1761 @p49 @p48 @p90 @p1759 @p91 @p55 @p64 @p57 @p50 @p1760)) % 15.92/16.25 (step @p176 :rule modus_ponens :premises (@p175 @p163)) % 15.92/16.25 (assume-push @p1807 @t116) % 15.92/16.25 (assume-push @p1808 @t101) % 15.92/16.25 (assume-push @p1809 @t122) % 15.92/16.25 (assume-push @p1810 @t128) % 15.92/16.25 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:premises (@p61 @p1632 @p1546 @p1631 @p1617 @p1614 @p1612)) % 15.92/16.26 (step @p1634 :rule cong :premises (@p1633) :args (@t32)) % 15.92/16.26 (step @p1635 :rule symm :premises (@p61)) % 15.92/16.26 (step @p1636 :rule symm :premises (@p1632)) % 15.92/16.26 (step @p1637 :rule symm :premises (@p1546)) % 15.92/16.26 (step @p1638 :rule symm :premises (@p1631)) % 15.92/16.26 (step @p1639 :rule symm :premises (@p60)) % 15.92/16.26 (step @p1640 :rule symm :premises (@p59)) % 15.92/16.26 (step @p1641 :rule refl :args (tptp.sk_c4)) % 15.92/16.26 (step @p1642 :rule symm :premises (@p1625)) % 15.92/16.26 (step @p1643 :rule symm :premises (@p1620)) % 15.92/16.26 (step @p1644 :rule trans :premises (@p2519 @p1643 @p1545 @p1642 @p195)) % 15.92/16.26 (step @p1645 :rule cong :premises (@p1644 @p1641) :args (@t311)) % 15.92/16.26 (step @p1646 :rule trans :premises (@p1645 @p1640)) % 15.92/16.26 (step @p1647 :rule cong :premises (@p2523 @p1646) :args (@t312)) % 15.92/16.26 (step @p136 :rule cong :premises (@p135 @p134) :args (@t142)) % 15.92/16.26 (step @p137 :rule cong :premises (@p48 @p133) :args (@t143)) % 15.92/16.26 (step @p1648 :rule trans :premises (@p1643 @p1545 @p1642 @p195)) % 15.92/16.26 (step @p1649 :rule cong :premises (@p1648 @p49) :args (@t307)) % 15.92/16.26 (step @p1650 :rule symm :premises (@p1548)) % 15.92/16.26 (step @p615 :rule symm :premises (@p56)) % 15.92/16.26 (step @p1651 :rule trans :premises (@p615 @p1623)) % 15.92/16.26 (step @p1652 :rule cong :premises (@p1651 @p1623) :args ((tptp.multiply @t219 @t15))) % 15.92/16.26 (step @p1653 :rule trans :premises (@p1612 @p2520)) % 15.92/16.26 (step @p1654 :rule trans :premises (@p1633 @p2520 @p56)) % 15.92/16.26 (step @p1655 :rule cong :premises (@p1654 @p1653) :args (@t305)) % 15.92/16.26 (step @p151 :rule symm :premises (@p55)) % 15.92/16.26 (step @p1656 :rule trans :premises (@p151 @p57 @p1625 @p1621 @p1620 @p1618)) % 15.92/16.26 (step @p1657 :rule symm :premises (@p2525)) % 15.92/16.26 (step @p1658 :rule symm :premises (@p1634)) % 15.92/16.26 (step @p1659 :rule cong :premises (@p1623) :args (@t99)) % 15.92/16.26 (step @p1660 :rule trans :premises (@p1659 @p1658 @p1657)) % 15.92/16.26 (step @p1661 :rule trans :premises (@p1660 @p2527)) % 15.92/16.26 (step @p1662 :rule cong :premises (@p1661 @p1656) :args (@t135)) % 15.92/16.26 (step @p156 :rule cong :premises (@p57 @p155) :args (@t121)) % 15.92/16.26 (step @p1663 :rule trans :premises (@p50 @p156 @p64 @p1662 @p1547 @p1655 @p1652)) % 15.92/16.26 (step @p1664 :rule cong :premises (@p155 @p1663) :args (@t317)) % 15.92/16.26 (step @p1665 :rule trans :premises (@p1664 @p1650 @p1649 @p137 @p136 @p133)) % 15.92/16.26 (step @p1666 :rule trans :premises (@p1665 @p2524)) % 15.92/16.26 (step @p1667 :rule cong :premises (@p1666 @p1641) :args ((tptp.multiply @t317 tptp.sk_c4))) % 15.92/16.26 (step @p1668 :rule symm :premises (@p1665)) % 15.92/16.26 (step @p1669 :rule symm :premises (@p2522)) % 15.92/16.26 (step @p1670 :rule trans :premises (@p1669 @p1668)) % 15.92/16.26 (step @p1671 :rule cong :premises (@p1670 @p1641) :args (@t309)) % 15.92/16.26 (step @p1672 :rule symm :premises (@p1549)) % 15.92/16.26 (step @p1673 :rule cong :premises (@p1613 @p1641) :args (@t293)) % 15.92/16.26 (step @p1674 :rule trans :premises (@p2519 @p1643 @p1545 @p1642 @p195 @p60 @p1673)) % 15.92/16.26 (step @p1675 :rule cong :premises (@p1641 @p1674) :args (@t314)) % 15.92/16.26 (step @p1676 :rule trans :premises (@p1675 @p1672 @p1671 @p1667 @p1550 @p1647 @p1639 @p57 @p1625 @p1621 @p1620 @p1618)) % 15.92/16.26 (step @p1677 :rule symm :premises (@p1616)) % 15.92/16.26 (step @p1678 :rule cong :premises (@p1677 @p1676) :args (@t315)) % 15.92/16.26 (step @p1679 :rule symm :premises (@p1644)) % 15.92/16.26 (step @p1680 :rule cong :premises (@p60 @p1679) :args (@t113)) % 15.92/16.26 (step @p1681 :rule trans :premises (@p48 @p1680 @p1551 @p1678 @p1638 @p1637 @p1636 @p1635)) % 15.92/16.26 (step @p1682 :rule cong :premises (@p1681) :args (@t218)) % 15.92/16.26 (step @p211 :rule symm :premises (@p58)) % 15.92/16.26 (step @p212 :rule refl :args (tptp.sk_c3)) % 15.92/16.26 (step @p1683 :rule trans :premises (@p1679 @p2521)) % 15.92/16.26 (step @p1684 :rule cong :premises (@p1683 @p212) :args (@t123)) % 15.92/16.26 (step @p1685 :rule trans :premises (@p51 @p1684 @p211)) % 15.92/16.26 (step @p1686 :rule cong :premises (@p1685) :args (@t20)) % 15.92/16.26 (step @p1687 :rule trans :premises (@p2521 @p1686 @p1682 @p1634)) % 15.92/16.26 (step-pop @p2579 :rule scope :premises (@p1687)) % 15.92/16.26 (step-pop @p2580 :rule scope :premises (@p2579)) % 15.92/16.26 (step-pop @p2581 :rule scope :premises (@p2580)) % 15.92/16.26 (step-pop @p2582 :rule scope :premises (@p2581)) % 15.92/16.26 (step-pop @p2583 :rule scope :premises (@p2582)) % 15.92/16.26 (step-pop @p2584 :rule scope :premises (@p2583)) % 15.92/16.26 (step-pop @p2585 :rule scope :premises (@p2584)) % 15.92/16.26 (step-pop @p2586 :rule scope :premises (@p2585)) % 15.92/16.26 (step-pop @p2587 :rule scope :premises (@p2586)) % 15.92/16.26 (step-pop @p2588 :rule scope :premises (@p2587)) % 15.92/16.26 (step-pop @p2589 :rule scope :premises (@p2588)) % 15.92/16.26 (step-pop @p2590 :rule scope :premises (@p2589)) % 15.92/16.26 (step-pop @p2591 :rule scope :premises (@p2590)) % 15.92/16.26 (step-pop @p2592 :rule scope :premises (@p2591)) % 15.92/16.26 (step-pop @p2593 :rule scope :premises (@p2592)) % 15.92/16.26 (step-pop @p2594 :rule scope :premises (@p2593)) % 15.92/16.26 (step-pop @p2595 :rule scope :premises (@p2594)) % 15.92/16.26 (step-pop @p2596 :rule scope :premises (@p2595)) % 15.92/16.26 (step-pop @p2597 :rule scope :premises (@p2596)) % 15.92/16.26 (step-pop @p2598 :rule scope :premises (@p2597)) % 15.92/16.26 (step-pop @p2599 :rule scope :premises (@p2598)) % 15.92/16.26 (step-pop @p2600 :rule scope :premises (@p2599)) % 15.92/16.26 (step-pop @p2601 :rule scope :premises (@p2600)) % 15.92/16.26 (step-pop @p2602 :rule scope :premises (@p2601)) % 15.92/16.26 (step-pop @p2603 :rule scope :premises (@p2602)) % 15.92/16.26 (step-pop @p2604 :rule scope :premises (@p2603)) % 15.92/16.26 (step-pop @p2605 :rule scope :premises (@p2604)) % 15.92/16.26 (step-pop @p2606 :rule scope :premises (@p2605)) % 15.92/16.26 (step-pop @p2607 :rule scope :premises (@p2606)) % 15.92/16.26 (step-pop @p2608 :rule scope :premises (@p2607)) % 15.92/16.26 (step @p1688 :rule process_scope :premises (@p2608) :args (@t112)) % 15.92/16.26 (step @p1719 :rule and_intro :premises (@p2524 @p2523 @p2526 @p2519 @p50 @p57 @p64 @p1545 @p55 @p49 @p48 @p2520 @p62 @p2525 @p1546 @p63 @p61 @p60 @p59 @p1550 @p1548 @p56 @p1547 @p2527 @p2522 @p1549 @p1551 @p58 @p2521 @p51)) % 15.92/16.26 (step @p1720 :rule modus_ponens :premises (@p1719 @p1688)) % 15.92/16.26 (step-pop @p2609 :rule scope :premises (@p1720)) % 15.92/16.26 (step-pop @p2610 :rule scope :premises (@p2609)) % 15.92/16.26 (step-pop @p2611 :rule scope :premises (@p2610)) % 15.92/16.26 (step-pop @p2612 :rule scope :premises (@p2611)) % 15.92/16.26 (step-pop @p2613 :rule scope :premises (@p2612)) % 15.92/16.26 (step-pop @p2614 :rule scope :premises (@p2613)) % 15.92/16.26 (step-pop @p2615 :rule scope :premises (@p2614)) % 15.92/16.26 (step-pop @p2616 :rule scope :premises (@p2615)) % 15.92/16.26 (step-pop @p2617 :rule scope :premises (@p2616)) % 15.92/16.26 (step-pop @p2618 :rule scope :premises (@p2617)) % 15.92/16.26 (step-pop @p2619 :rule scope :premises (@p2618)) % 15.92/16.26 (step-pop @p2620 :rule scope :premises (@p2619)) % 15.92/16.26 (step-pop @p2621 :rule scope :premises (@p2620)) % 15.92/16.26 (step-pop @p2622 :rule scope :premises (@p2621)) % 15.92/16.26 (step-pop @p2623 :rule scope :premises (@p2622)) % 15.92/16.26 (step-pop @p2624 :rule scope :premises (@p2623)) % 15.92/16.26 (step-pop @p2625 :rule scope :premises (@p2624)) % 15.92/16.26 (step-pop @p2626 :rule scope :premises (@p2625)) % 15.92/16.26 (step-pop @p2627 :rule scope :premises (@p2626)) % 15.92/16.26 (step-pop @p2628 :rule scope :premises (@p2627)) % 15.92/16.26 (step-pop @p2629 :rule scope :premises (@p2628)) % 15.92/16.26 (step-pop @p2630 :rule scope :premises (@p2629)) % 15.92/16.26 (step-pop @p2631 :rule scope :premises (@p2630)) % 15.92/16.26 (step-pop @p2632 :rule scope :premises (@p2631)) % 15.92/16.26 (step-pop @p2633 :rule scope :premises (@p2632)) % 15.92/16.26 (step-pop @p2634 :rule scope :premises (@p2633)) % 15.92/16.26 (step-pop @p2635 :rule scope :premises (@p2634)) % 15.92/16.26 (step-pop @p2636 :rule scope :premises (@p2635)) % 15.92/16.26 (step-pop @p2637 :rule scope :premises (@p2636)) % 15.92/16.26 (step-pop @p2638 :rule scope :premises (@p2637)) % 15.92/16.26 (step @p1721 :rule process_scope :premises (@p2638) :args (@t112)) % 15.92/16.26 (step @p1752 :rule implies_elim :premises (@p1721)) % 15.92/16.26 (step @p1753 :rule cnf_and_neg :args (@t318)) % 15.92/16.26 (step @p1754 :rule resolution :premises (@p1753 @p1752) :args (true @t318)) % 15.92/16.26 (step @p1755 :rule reordering :premises (@p1754) :args ((or @t112 @t159 @t158 @t105 (not @t286) (not @t287) (not @t288) (not @t289) (not @t290) (not @t291) @t157 @t155 @t153 @t152 @t151 (not @t220) @t150 @t149 (not @t292) (not @t294) (not @t296) (not @t297) (not @t299) @t148 (not @t301) (not @t304) (not @t306) (not @t308) (not @t310) (not @t313) (not @t316)))) % 15.92/16.26 (step @p1756 false :rule chain_m_resolution :premises (@p1755 @p1551 @p1550 @p1549 @p1548 @p1547 @p1546 @p1545 @p1544 @p1540 @p1536 @p1532 @p1528 @p1524 @p1520 @p1517 @p1514 @p1511 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p51 @p50 @p49 @p48) :args (false (@list false false false false false false false false false false false false false false false false true false false false false false false false false false false false false false false) (@list @t316 @t313 @t310 @t308 @t306 @t304 @t301 @t291 @t290 @t289 @t288 @t287 @t286 @t104 @t102 @t101 @t112 @t137 @t299 @t297 @t296 @t294 @t292 @t130 @t128 @t220 @t126 @t124 @t122 @t118 @t114))) % 15.92/16.26 ) % 15.92/16.26 % SZS output end Proof % 15.92/16.26 % cvc5 exiting %------------------------------------------------------------------------------