%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP259-1 : 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 : n028.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 08:20:20 AM UTC 2026 % Result : Unsatisfiable 16.15s 16.50s % Output : Proof 16.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP259-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n028.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 01:00:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.31 --- Run --no-e-matching --full-saturate-quant at 6... % 16.15/16.50 % SZS status Unsatisfiable % 16.15/16.50 % SZS output start Proof % 16.15/16.53 ( % 16.15/16.53 (declare-sort $$unsorted 0) % 16.15/16.53 (declare-const tptp.sk_c2 $$unsorted) % 16.15/16.53 (declare-const tptp.sk_c4 $$unsorted) % 16.15/16.53 (declare-const tptp.sk_c3 $$unsorted) % 16.15/16.53 (declare-const tptp.sk_c1 $$unsorted) % 16.15/16.53 (declare-const tptp.sk_c7 $$unsorted) % 16.15/16.53 (declare-const tptp.sk_c8 $$unsorted) % 16.15/16.53 (declare-const tptp.sk_c5 $$unsorted) % 16.15/16.53 (declare-const tptp.sk_c6 $$unsorted) % 16.15/16.53 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.15/16.53 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.15/16.53 (declare-const tptp.identity $$unsorted) % 16.15/16.53 (define @t1 () (@var "X" $$unsorted)) % 16.15/16.53 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.15/16.53 (define @t3 () (@list @t1)) % 16.15/16.53 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.15/16.53 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.15/16.53 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.15/16.53 (define @t7 () (@var "Z" $$unsorted)) % 16.15/16.53 (define @t8 () (@var "Y" $$unsorted)) % 16.15/16.53 (define @t9 () (tptp.multiply tptp.sk_c7 tptp.sk_c8)) % 16.15/16.53 (define @t10 () (= @t9 tptp.sk_c6)) % 16.15/16.53 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 16.15/16.53 (define @t12 () (= @t11 tptp.sk_c7)) % 16.15/16.53 (define @t13 () (or @t12 @t10)) % 16.15/16.53 (define @t14 () (tptp.inverse tptp.sk_c4)) % 16.15/16.53 (define @t15 () (= @t14 tptp.sk_c8)) % 16.15/16.53 (define @t16 () (or @t12 @t15)) % 16.15/16.53 (define @t17 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 16.15/16.53 (define @t18 () (= @t17 tptp.sk_c8)) % 16.15/16.53 (define @t19 () (or @t12 @t18)) % 16.15/16.53 (define @t20 () (tptp.inverse tptp.sk_c5)) % 16.15/16.53 (define @t21 () (= @t20 tptp.sk_c7)) % 16.15/16.53 (define @t22 () (or @t12 @t21)) % 16.15/16.53 (define @t23 () (tptp.multiply tptp.sk_c5 tptp.sk_c6)) % 16.15/16.53 (define @t24 () (= @t23 tptp.sk_c7)) % 16.15/16.53 (define @t25 () (or @t12 @t24)) % 16.15/16.53 (define @t26 () (tptp.inverse tptp.sk_c1)) % 16.15/16.53 (define @t27 () (= @t26 tptp.sk_c8)) % 16.15/16.53 (define @t28 () (or @t27 @t10)) % 16.15/16.53 (define @t29 () (or @t27 @t15)) % 16.15/16.53 (define @t30 () (or @t27 @t18)) % 16.15/16.53 (define @t31 () (or @t27 @t21)) % 16.15/16.53 (define @t32 () (or @t27 @t24)) % 16.15/16.53 (define @t33 () (tptp.multiply tptp.sk_c2 tptp.sk_c7)) % 16.15/16.53 (define @t34 () (= @t33 tptp.sk_c6)) % 16.15/16.53 (define @t35 () (or @t34 @t10)) % 16.15/16.53 (define @t36 () (or @t34 @t18)) % 16.15/16.53 (define @t37 () (or @t34 @t21)) % 16.15/16.53 (define @t38 () (or @t34 @t24)) % 16.15/16.53 (define @t39 () (tptp.inverse tptp.sk_c2)) % 16.15/16.53 (define @t40 () (= @t39 tptp.sk_c7)) % 16.15/16.53 (define @t41 () (or @t40 @t10)) % 16.15/16.53 (define @t42 () (or @t40 @t18)) % 16.15/16.53 (define @t43 () (or @t40 @t21)) % 16.15/16.53 (define @t44 () (or @t40 @t24)) % 16.15/16.53 (define @t45 () (tptp.multiply tptp.sk_c6 tptp.sk_c8)) % 16.15/16.53 (define @t46 () (= @t45 tptp.sk_c7)) % 16.15/16.53 (define @t47 () (or @t46 @t10)) % 16.15/16.53 (define @t48 () (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c8)) % 16.15/16.53 (define @t49 () (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) % 16.15/16.53 (define @t50 () (@var "X2" $$unsorted)) % 16.15/16.53 (define @t51 () (tptp.multiply @t50 tptp.sk_c6)) % 16.15/16.53 (define @t52 () (not (= @t51 tptp.sk_c7))) % 16.15/16.53 (define @t53 () (tptp.inverse @t50)) % 16.15/16.53 (define @t54 () (not (= @t53 tptp.sk_c7))) % 16.15/16.53 (define @t55 () (@var "X1" $$unsorted)) % 16.15/16.53 (define @t56 () (tptp.multiply @t55 tptp.sk_c7)) % 16.15/16.53 (define @t57 () (not (= @t56 tptp.sk_c8))) % 16.15/16.53 (define @t58 () (tptp.inverse @t55)) % 16.15/16.53 (define @t59 () (not (= @t58 tptp.sk_c8))) % 16.15/16.53 (define @t60 () (not @t10)) % 16.15/16.53 (define @t61 () (@var "X5" $$unsorted)) % 16.15/16.53 (define @t62 () (tptp.inverse @t61)) % 16.15/16.53 (define @t63 () (not (= @t62 tptp.sk_c6))) % 16.15/16.53 (define @t64 () (tptp.multiply @t61 tptp.sk_c6)) % 16.15/16.53 (define @t65 () (not (= @t64 tptp.sk_c8))) % 16.15/16.53 (define @t66 () (not @t46)) % 16.15/16.53 (define @t67 () (@var "X4" $$unsorted)) % 16.15/16.53 (define @t68 () (tptp.inverse @t67)) % 16.15/16.53 (define @t69 () (not (= @t68 tptp.sk_c7))) % 16.15/16.53 (define @t70 () (tptp.multiply @t67 tptp.sk_c7)) % 16.15/16.53 (define @t71 () (not (= @t70 tptp.sk_c6))) % 16.15/16.53 (define @t72 () (@var "X3" $$unsorted)) % 16.15/16.53 (define @t73 () (tptp.inverse @t72)) % 16.15/16.53 (define @t74 () (not (= @t73 tptp.sk_c8))) % 16.15/16.53 (define @t75 () (tptp.multiply @t72 tptp.sk_c8)) % 16.15/16.53 (define @t76 () (not (= @t75 tptp.sk_c7))) % 16.15/16.53 (define @t77 () (or @t76 @t74 @t71 @t69 @t66 @t65 @t63 @t60 @t59 @t57 @t54 @t52)) % 16.15/16.53 (define @t78 () (@list @t72 @t67 @t61 @t55 @t50)) % 16.15/16.53 (define @t79 () (forall @t78 @t77)) % 16.15/16.53 (define @t80 () (tptp.multiply tptp.sk_c7 tptp.sk_c5)) % 16.15/16.53 (define @t81 () (tptp.inverse tptp.sk_c7)) % 16.15/16.53 (define @t82 () (@list tptp.sk_c5)) % 16.15/16.53 (define @t83 () (@list tptp.sk_c7)) % 16.15/16.53 (define @t84 () (@list tptp.sk_c8)) % 16.15/16.53 (define @t85 () (= tptp.sk_c8 @t26)) % 16.15/16.53 (define @t86 () (not @t85)) % 16.15/16.53 (define @t87 () (= tptp.sk_c7 @t11)) % 16.15/16.53 (define @t88 () (not @t87)) % 16.15/16.53 (define @t89 () (or @t88 @t86)) % 16.15/16.53 (define @t90 () (not (= tptp.sk_c8 @t73))) % 16.15/16.53 (define @t91 () (not (= tptp.sk_c7 @t75))) % 16.15/16.53 (define @t92 () (or @t91 @t90)) % 16.15/16.53 (define @t93 () (forall (@list @t72) @t92)) % 16.15/16.53 (define @t94 () (@list tptp.sk_c1)) % 16.15/16.53 (define @t95 () (= tptp.sk_c7 @t39)) % 16.15/16.53 (define @t96 () (= tptp.sk_c6 @t9)) % 16.15/16.53 (define @t97 () (= tptp.sk_c8 @t17)) % 16.15/16.53 (define @t98 () (= tptp.sk_c7 @t20)) % 16.15/16.53 (define @t99 () (= tptp.sk_c7 @t23)) % 16.15/16.53 (define @t100 () (tptp.inverse tptp.sk_c8)) % 16.15/16.53 (define @t101 () (tptp.multiply tptp.identity tptp.identity)) % 16.15/16.53 (define @t102 () (= tptp.identity @t101)) % 16.15/16.53 (define @t103 () (tptp.multiply @t26 tptp.sk_c1)) % 16.15/16.53 (define @t104 () (= tptp.identity @t103)) % 16.15/16.53 (define @t105 () (tptp.multiply tptp.identity tptp.sk_c8)) % 16.15/16.53 (define @t106 () (= tptp.sk_c8 @t105)) % 16.15/16.53 (define @t107 () (tptp.multiply @t100 tptp.sk_c8)) % 16.15/16.53 (define @t108 () (= tptp.identity @t107)) % 16.15/16.53 (define @t109 () (tptp.multiply tptp.identity tptp.sk_c7)) % 16.15/16.53 (define @t110 () (= tptp.sk_c7 @t109)) % 16.15/16.53 (define @t111 () (tptp.multiply tptp.identity tptp.sk_c6)) % 16.15/16.53 (define @t112 () (= tptp.sk_c6 @t111)) % 16.15/16.53 (define @t113 () (tptp.multiply @t26 @t11)) % 16.15/16.53 (define @t114 () (tptp.multiply @t103 tptp.sk_c8)) % 16.15/16.53 (define @t115 () (= @t114 @t113)) % 16.15/16.53 (define @t116 () (tptp.multiply tptp.sk_c8 tptp.sk_c7)) % 16.15/16.53 (define @t117 () (tptp.multiply @t100 @t116)) % 16.15/16.53 (define @t118 () (tptp.multiply @t107 tptp.sk_c7)) % 16.15/16.53 (define @t119 () (= @t118 @t117)) % 16.15/16.53 (define @t120 () (tptp.multiply @t101 tptp.sk_c7)) % 16.15/16.53 (define @t121 () (tptp.multiply tptp.identity @t109)) % 16.15/16.53 (define @t122 () (tptp.multiply tptp.identity @t105)) % 16.15/16.53 (define @t123 () (tptp.multiply @t101 tptp.sk_c8)) % 16.15/16.53 (define @t124 () (tptp.multiply tptp.identity @t111)) % 16.15/16.53 (define @t125 () (tptp.multiply @t101 tptp.sk_c6)) % 16.15/16.53 (define @t126 () (tptp.multiply tptp.sk_c7 @t116)) % 16.15/16.53 (define @t127 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 16.15/16.53 (define @t128 () (= tptp.sk_c8 @t127)) % 16.15/16.53 (define @t129 () (and @t87 @t96 @t85 @t102 @t104 @t106 @t108 @t110 @t112 @t115 @t119)) % 16.15/16.53 (define @t130 () (not @t119)) % 16.15/16.53 (define @t131 () (not @t115)) % 16.15/16.53 (define @t132 () (not @t112)) % 16.15/16.53 (define @t133 () (not @t110)) % 16.15/16.53 (define @t134 () (not @t108)) % 16.15/16.53 (define @t135 () (not @t106)) % 16.15/16.53 (define @t136 () (not @t104)) % 16.15/16.53 (define @t137 () (not @t102)) % 16.15/16.53 (define @t138 () (not @t96)) % 16.15/16.53 (define @t139 () (tptp.multiply tptp.sk_c1 tptp.sk_c6)) % 16.15/16.53 (define @t140 () (= tptp.sk_c7 @t139)) % 16.15/16.53 (define @t141 () (and @t87 @t96 @t85 @t102 @t104 @t106 @t108 @t110 @t115 @t119)) % 16.15/16.53 (define @t142 () (tptp.multiply tptp.identity tptp.sk_c5)) % 16.15/16.53 (define @t143 () (= tptp.sk_c5 @t142)) % 16.15/16.53 (define @t144 () (tptp.multiply @t20 tptp.sk_c5)) % 16.15/16.53 (define @t145 () (= tptp.identity @t144)) % 16.15/16.53 (define @t146 () (tptp.inverse tptp.identity)) % 16.15/16.53 (define @t147 () (tptp.multiply tptp.identity @t142)) % 16.15/16.53 (define @t148 () (tptp.multiply @t101 tptp.sk_c5)) % 16.15/16.53 (define @t149 () (= tptp.sk_c6 @t81)) % 16.15/16.53 (define @t150 () (and @t87 @t96 @t98 @t99 @t85 @t102 @t104 @t106 @t108 @t110 @t143 @t145 @t115 @t119)) % 16.15/16.53 (define @t151 () (not @t145)) % 16.15/16.53 (define @t152 () (not @t143)) % 16.15/16.53 (define @t153 () (not @t99)) % 16.15/16.53 (define @t154 () (not @t98)) % 16.15/16.53 (define @t155 () (= tptp.sk_c7 @t26)) % 16.15/16.53 (define @t156 () (tptp.multiply @t17 tptp.sk_c6)) % 16.15/16.53 (define @t157 () (= @t156 (tptp.multiply tptp.sk_c4 @t127))) % 16.15/16.53 (define @t158 () (tptp.multiply tptp.sk_c8 tptp.sk_c6)) % 16.15/16.53 (define @t159 () (= tptp.sk_c7 @t45)) % 16.15/16.53 (define @t160 () (and @t87 @t96 @t97 @t98 @t99 @t85 @t102 @t104 @t106 @t108 @t110 @t112 @t143 @t145 @t157 @t115 @t119)) % 16.15/16.53 (define @t161 () (not @t97)) % 16.15/16.53 (define @t162 () (tptp.multiply tptp.sk_c1 tptp.identity)) % 16.15/16.53 (define @t163 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 16.15/16.53 (define @t164 () (= tptp.sk_c8 @t163)) % 16.15/16.53 (define @t165 () (not @t149)) % 16.15/16.53 (define @t166 () (not @t128)) % 16.15/16.53 (define @t167 () (or @t166 @t165)) % 16.15/16.53 (define @t168 () (not @t140)) % 16.15/16.53 (define @t169 () (not @t155)) % 16.15/16.53 (define @t170 () (or @t169 @t168)) % 16.15/16.53 (define @t171 () (not @t164)) % 16.15/16.53 (define @t172 () (or @t86 @t171)) % 16.15/16.53 (define @t173 () (not (= tptp.sk_c6 @t62))) % 16.15/16.53 (define @t174 () (not (= tptp.sk_c8 @t64))) % 16.15/16.53 (define @t175 () (or @t174 @t173)) % 16.15/16.53 (define @t176 () (forall (@list @t61) @t175)) % 16.15/16.53 (define @t177 () (not (= tptp.sk_c7 @t51))) % 16.15/16.53 (define @t178 () (not (= tptp.sk_c7 @t53))) % 16.15/16.53 (define @t179 () (or @t178 @t177)) % 16.15/16.53 (define @t180 () (forall (@list @t50) @t179)) % 16.15/16.53 (define @t181 () (not (= tptp.sk_c8 @t56))) % 16.15/16.53 (define @t182 () (not (= tptp.sk_c8 @t58))) % 16.15/16.53 (define @t183 () (or @t182 @t181)) % 16.15/16.53 (define @t184 () (forall (@list @t55) @t183)) % 16.15/16.53 (define @t185 () (not (= tptp.sk_c7 @t68))) % 16.15/16.53 (define @t186 () (not (= tptp.sk_c6 @t70))) % 16.15/16.53 (define @t187 () (or @t186 @t185)) % 16.15/16.53 (define @t188 () (forall (@list @t67) @t187)) % 16.15/16.53 (define @t189 () (not @t159)) % 16.15/16.53 (define @t190 () (or @t189 @t138 @t92 @t187 @t175 @t183 @t179)) % 16.15/16.53 (define @t191 () (or @t91 @t90 @t186 @t185 @t189 @t174 @t173 @t138 @t182 @t181 @t178 @t177)) % 16.15/16.53 (define @t192 () (= tptp.sk_c6 @t163)) % 16.15/16.53 (define @t193 () (not @t192)) % 16.15/16.53 (define @t194 () (or @t193 @t169)) % 16.15/16.53 (define @t195 () (not @t95)) % 16.15/16.53 (define @t196 () (= tptp.sk_c6 @t33)) % 16.15/16.53 (define @t197 () (not @t196)) % 16.15/16.53 (define @t198 () (or @t197 @t195)) % 16.15/16.53 (define @t199 () (@list tptp.sk_c2)) % 16.15/16.53 (define @t200 () (tptp.multiply @t81 tptp.sk_c7)) % 16.15/16.53 (define @t201 () (= tptp.identity @t200)) % 16.15/16.53 (define @t202 () (tptp.multiply @t39 tptp.sk_c2)) % 16.15/16.53 (define @t203 () (= tptp.identity @t202)) % 16.15/16.53 (define @t204 () (tptp.multiply @t39 @t33)) % 16.15/16.53 (define @t205 () (tptp.multiply @t202 tptp.sk_c7)) % 16.15/16.53 (define @t206 () (= @t205 @t204)) % 16.15/16.53 (define @t207 () (tptp.multiply @t81 @t127)) % 16.15/16.53 (define @t208 () (tptp.multiply @t200 tptp.sk_c6)) % 16.15/16.53 (define @t209 () (= @t208 @t207)) % 16.15/16.53 (define @t210 () (and @t196 @t95 @t159 @t102 @t106 @t110 @t201 @t112 @t203 @t206 @t209)) % 16.15/16.53 (define @t211 () (not @t209)) % 16.15/16.53 (define @t212 () (not @t206)) % 16.15/16.53 (define @t213 () (not @t203)) % 16.15/16.53 (define @t214 () (not @t201)) % 16.15/16.53 (define @t215 () (and @t85 @t196 @t95 @t159 @t102 @t106 @t110 @t201 @t112 @t203 @t206 @t209)) % 16.15/16.53 (define @t216 () (and @t87 @t196 @t95 @t159 @t102 @t106 @t110 @t201 @t112 @t203 @t206 @t209)) % 16.15/16.53 (define @t217 () (tptp.multiply @t81 @t9)) % 16.15/16.53 (define @t218 () (tptp.multiply @t200 tptp.sk_c8)) % 16.15/16.53 (define @t219 () (= @t218 @t217)) % 16.15/16.53 (define @t220 () (and @t87 @t85 @t196 @t95 @t159 @t102 @t104 @t106 @t110 @t201 @t112 @t203 @t219 @t206 @t209 @t115)) % 16.15/16.53 (define @t221 () (not @t219)) % 16.15/16.53 (define @t222 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.15/16.53 (define @t223 () (= tptp.sk_c1 @t222)) % 16.15/16.53 (define @t224 () (and @t87 @t85 @t196 @t95 @t159 @t102 @t223 @t104 @t106 @t110 @t201 @t112 @t203 @t219 @t206 @t209 @t115)) % 16.15/16.53 (define @t225 () (and @t87 @t85 @t196 @t95 @t189 @t102 @t104 @t106 @t108 @t110 @t112 @t203 @t206 @t115 @t119)) % 16.15/16.53 (define @t226 () (= tptp.sk_c8 @t14)) % 16.15/16.53 (define @t227 () (@list tptp.sk_c4)) % 16.15/16.53 (define @t228 () (tptp.multiply @t14 tptp.sk_c4)) % 16.15/16.53 (define @t229 () (= tptp.identity @t228)) % 16.15/16.53 (define @t230 () (tptp.multiply @t81 @t80)) % 16.15/16.53 (define @t231 () (= (tptp.multiply @t200 tptp.sk_c5) @t230)) % 16.15/16.53 (define @t232 () (tptp.multiply @t80 tptp.sk_c6)) % 16.15/16.53 (define @t233 () (tptp.multiply @t81 @t232)) % 16.15/16.53 (define @t234 () (= (tptp.multiply @t230 tptp.sk_c6) @t233)) % 16.15/16.53 (define @t235 () (tptp.multiply tptp.sk_c4 tptp.sk_c8)) % 16.15/16.53 (define @t236 () (tptp.multiply @t14 @t235)) % 16.15/16.53 (define @t237 () (= (tptp.multiply @t228 tptp.sk_c8) @t236)) % 16.15/16.53 (define @t238 () (tptp.multiply @t217 @t11)) % 16.15/16.53 (define @t239 () (= tptp.sk_c8 @t158)) % 16.15/16.53 (define @t240 () (and @t87 @t96 @t226 @t97 @t98 @t99 @t102 @t106 @t201 @t112 @t229 @t143 @t145 @t219 @t231 @t234 @t237)) % 16.15/16.53 (define @t241 () (not @t237)) % 16.15/16.53 (define @t242 () (not @t234)) % 16.15/16.53 (define @t243 () (not @t231)) % 16.15/16.53 (define @t244 () (not @t229)) % 16.15/16.53 (define @t245 () (not @t226)) % 16.15/16.53 (define @t246 () (tptp.multiply @t9 tptp.sk_c7)) % 16.15/16.53 (define @t247 () (= @t246 @t126)) % 16.15/16.53 (define @t248 () (and @t87 @t96 @t226 @t97 @t98 @t99 @t102 @t106 @t201 @t112 @t229 @t143 @t145 @t219 @t247 @t231 @t234 @t237)) % 16.15/16.53 (define @t249 () (not @t247)) % 16.15/16.53 (define @t250 () (tptp.inverse @t20)) % 16.15/16.53 (define @t251 () (tptp.multiply @t250 @t20)) % 16.15/16.53 (define @t252 () (= tptp.identity @t251)) % 16.15/16.53 (define @t253 () (= tptp.sk_c6 @t100)) % 16.15/16.53 (define @t254 () (and @t87 @t96 @t226 @t97 @t98 @t99 @t102 @t106 @t108 @t110 @t201 @t112 @t229 @t143 @t145 @t252 @t219 @t119 @t231 @t234 @t237)) % 16.15/16.53 (define @t255 () (not @t252)) % 16.15/16.53 (define @t256 () (not @t253)) % 16.15/16.53 (define @t257 () (not @t239)) % 16.15/16.53 (define @t258 () (or @t257 @t256)) % 16.15/16.53 (define @t259 () (not @t258)) % 16.15/16.53 (define @t260 () (= tptp.sk_c8 @t81)) % 16.15/16.53 (define @t261 () (= tptp.sk_c7 @t9)) % 16.15/16.53 (define @t262 () (and @t96 @t226 @t97 @t98 @t99 @t102 @t106 @t201 @t112 @t229 @t143 @t145 @t219 @t231 @t234 @t237)) % 16.15/16.53 (define @t263 () (not @t260)) % 16.15/16.53 (define @t264 () (not @t261)) % 16.15/16.53 (define @t265 () (or @t264 @t263)) % 16.15/16.53 (define @t266 () (not @t265)) % 16.15/16.53 (define @t267 () (= tptp.sk_c7 @t81)) % 16.15/16.53 (define @t268 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) % 16.15/16.53 (define @t269 () (not @t267)) % 16.15/16.53 (define @t270 () (not @t268)) % 16.15/16.53 (define @t271 () (or @t270 @t269)) % 16.15/16.53 (define @t272 () (not @t271)) % 16.15/16.53 (define @t273 () (or @t245 @t161)) % 16.15/16.53 (define @t274 () (not @t273)) % 16.15/16.53 (define @t275 () (= tptp.sk_c7 @t14)) % 16.15/16.53 (define @t276 () (and @t96 @t226 @t98 @t99 @t102 @t106 @t201 @t112 @t143 @t145 @t219 @t231 @t234)) % 16.15/16.53 (define @t277 () (tptp.multiply tptp.identity tptp.sk_c4)) % 16.15/16.53 (define @t278 () (= tptp.sk_c4 @t277)) % 16.15/16.53 (define @t279 () (tptp.multiply @t107 tptp.sk_c4)) % 16.15/16.53 (define @t280 () (= @t279 (tptp.multiply @t100 (tptp.multiply tptp.sk_c8 tptp.sk_c4)))) % 16.15/16.53 (define @t281 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) % 16.15/16.53 (define @t282 () (and @t87 @t96 @t226 @t97 @t98 @t99 @t102 @t106 @t108 @t110 @t201 @t112 @t278 @t229 @t143 @t145 @t252 @t219 @t119 @t231 @t234 @t237 @t280)) % 16.15/16.53 (define @t283 () (not @t281)) % 16.15/16.53 (define @t284 () (not @t275)) % 16.15/16.53 (define @t285 () (or @t284 @t283)) % 16.15/16.53 (define @t286 () (not @t285)) % 16.15/16.53 (define @t287 () (@list true)) % 16.15/16.53 (define @t288 () (@list @t87)) % 16.15/16.53 (define @t289 () (and @t96 @t226 @t97 @t98 @t99 @t102 @t106 @t108 @t110 @t201 @t112 @t229 @t143 @t145 @t252 @t219 @t119 @t231 @t234 @t237 @t275)) % 16.15/16.53 (define @t290 () (and @t96 @t98 @t99 @t102 @t106 @t201 @t112 @t143 @t145 @t219 @t231 @t234)) % 16.15/16.53 (define @t291 () (@list false false)) % 16.15/16.53 (define @t292 () (and @t96 @t226 @t97 @t98 @t99 @t102 @t106 @t108 @t110 @t201 @t112 @t229 @t143 @t145 @t252 @t219 @t119 @t231 @t234 @t237)) % 16.15/16.53 (define @t293 () (@list false false false false false false false false false false false false false false false false false false false false)) % 16.15/16.53 (define @t294 () (@list @t96 @t226 @t97 @t98 @t99 @t102 @t106 @t108 @t110 @t201 @t112 @t229 @t143 @t145 @t252 @t219 @t119 @t231 @t234 @t237)) % 16.15/16.53 (define @t295 () (@list false false false false false false false false false false false false false false false false)) % 16.15/16.53 (define @t296 () (@list @t96 @t226 @t97 @t98 @t99 @t102 @t106 @t201 @t112 @t229 @t143 @t145 @t219 @t231 @t234 @t237)) % 16.15/16.53 (define @t297 () (and @t96 @t226 @t97 @t98 @t99 @t102 @t106 @t201 @t112 @t229 @t143 @t145 @t219 @t247 @t231 @t234 @t237)) % 16.15/16.53 (assume @p1 @t4) % 16.15/16.53 (assume @p2 @t6) % 16.15/16.53 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.15/16.53 (assume @p4 @t13) % 16.15/16.53 (assume @p5 @t16) % 16.15/16.53 (assume @p6 @t19) % 16.15/16.53 (assume @p7 @t22) % 16.15/16.53 (assume @p8 @t25) % 16.15/16.53 (assume @p9 @t28) % 16.15/16.53 (assume @p10 @t29) % 16.15/16.53 (assume @p11 @t30) % 16.15/16.53 (assume @p12 @t31) % 16.15/16.53 (assume @p13 @t32) % 16.15/16.53 (assume @p14 @t35) % 16.15/16.53 (assume @p15 (or @t34 @t15)) % 16.15/16.53 (assume @p16 @t36) % 16.15/16.53 (assume @p17 @t37) % 16.15/16.53 (assume @p18 @t38) % 16.15/16.53 (assume @p19 @t41) % 16.15/16.53 (assume @p20 (or @t40 @t15)) % 16.15/16.53 (assume @p21 @t42) % 16.15/16.53 (assume @p22 @t43) % 16.15/16.53 (assume @p23 @t44) % 16.15/16.53 (assume @p24 @t47) % 16.15/16.53 (assume @p25 (or @t46 @t15)) % 16.15/16.53 (assume @p26 (or @t46 @t18)) % 16.15/16.53 (assume @p27 (or @t46 @t21)) % 16.15/16.53 (assume @p28 (or @t46 @t24)) % 16.15/16.53 (assume @p29 (or @t48 @t10)) % 16.15/16.53 (assume @p30 (or @t48 @t15)) % 16.15/16.53 (assume @p31 (or @t48 @t18)) % 16.15/16.53 (assume @p32 (or @t48 @t21)) % 16.15/16.53 (assume @p33 (or @t48 @t24)) % 16.15/16.53 (assume @p34 (or @t49 @t10)) % 16.15/16.53 (assume @p35 (or @t49 @t15)) % 16.15/16.53 (assume @p36 (or @t49 @t18)) % 16.15/16.53 (assume @p37 (or @t49 @t21)) % 16.15/16.53 (assume @p38 (or @t49 @t24)) % 16.15/16.53 (assume @p39 @t79) % 16.15/16.53 (step @p40 :rule instantiate :premises (@p3) :args ((@list @t81 @t80 tptp.sk_c6))) % 16.15/16.53 (step @p41 :rule instantiate :premises (@p3) :args ((@list @t81 tptp.sk_c7 tptp.sk_c5))) % 16.15/16.53 (step @p42 :rule instantiate :premises (@p3) :args ((@list @t81 tptp.sk_c7 tptp.sk_c8))) % 16.15/16.53 (step @p43 :rule eq-symm :args (@t5 tptp.identity)) % 16.15/16.53 (step @p44 :rule cong :premises (@p43) :args (@t6)) % 16.15/16.53 (step @p45 :rule eq_resolve :premises (@p2 @p44)) % 16.15/16.53 (step @p46 :rule instantiate :premises (@p45) :args (@t82)) % 16.15/16.53 (step @p47 :rule eq-symm :args (@t2 @t1)) % 16.15/16.53 (step @p48 :rule cong :premises (@p47) :args (@t4)) % 16.15/16.53 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 16.15/16.53 (step @p50 :rule instantiate :premises (@p49) :args (@t82)) % 16.15/16.53 (step @p51 :rule instantiate :premises (@p49) :args ((@list tptp.sk_c6))) % 16.15/16.53 (step @p52 :rule instantiate :premises (@p45) :args (@t83)) % 16.15/16.53 (step @p53 :rule instantiate :premises (@p49) :args (@t84)) % 16.15/16.53 (step @p54 :rule instantiate :premises (@p49) :args ((@list tptp.identity))) % 16.15/16.53 (step @p55 :rule cnf_or_pos :args (@t89)) % 16.15/16.53 (step @p56 :rule reordering :premises (@p55) :args ((or @t88 @t86 (not @t89)))) % 16.15/16.53 (assume-push @p3204 @t93) % 16.15/16.53 (step @p58 :rule instantiate :premises (@p3204) :args (@t94)) % 16.15/16.53 (step-pop @p3205 :rule scope :premises (@p58)) % 16.15/16.53 (step @p59 :rule process_scope :premises (@p3205) :args (@t89)) % 16.15/16.53 (step @p61 :rule implies_elim :premises (@p59)) % 16.15/16.53 (step @p62 :rule eq-symm :args (@t9 tptp.sk_c6)) % 16.15/16.53 (step @p63 :rule eq-symm :args (@t39 tptp.sk_c7)) % 16.15/16.53 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t41)) % 16.15/16.53 (step @p65 :rule eq_resolve :premises (@p19 @p64)) % 16.15/16.53 (step @p66 :rule reordering :premises (@p65) :args ((or @t96 @t95))) % 16.15/16.53 (step @p67 :rule eq-symm :args (@t17 tptp.sk_c8)) % 16.15/16.53 (step @p68 :rule nary_cong :premises (@p63 @p67) :args (@t42)) % 16.15/16.53 (step @p69 :rule eq_resolve :premises (@p21 @p68)) % 16.15/16.53 (step @p70 :rule reordering :premises (@p69) :args ((or @t97 @t95))) % 16.15/16.53 (step @p71 :rule eq-symm :args (@t20 tptp.sk_c7)) % 16.15/16.53 (step @p72 :rule nary_cong :premises (@p63 @p71) :args (@t43)) % 16.15/16.53 (step @p73 :rule eq_resolve :premises (@p22 @p72)) % 16.15/16.53 (step @p74 :rule reordering :premises (@p73) :args ((or @t98 @t95))) % 16.15/16.53 (step @p75 :rule eq-symm :args (@t23 tptp.sk_c7)) % 16.15/16.53 (step @p76 :rule nary_cong :premises (@p63 @p75) :args (@t44)) % 16.15/16.53 (step @p77 :rule eq_resolve :premises (@p23 @p76)) % 16.15/16.53 (step @p78 :rule reordering :premises (@p77) :args ((or @t99 @t95))) % 16.15/16.53 (step @p79 :rule instantiate :premises (@p45) :args (@t94)) % 16.15/16.53 (step @p80 :rule instantiate :premises (@p45) :args (@t84)) % 16.15/16.53 (step @p81 :rule instantiate :premises (@p49) :args (@t83)) % 16.15/16.53 (step @p82 :rule instantiate :premises (@p3) :args ((@list @t26 tptp.sk_c1 tptp.sk_c8))) % 16.15/16.53 (step @p83 :rule instantiate :premises (@p3) :args ((@list @t100 tptp.sk_c8 tptp.sk_c7))) % 16.15/16.53 (assume-push @p3206 @t87) % 16.15/16.53 (assume-push @p3207 @t96) % 16.15/16.53 (assume-push @p3208 @t85) % 16.15/16.53 (assume-push @p3209 @t102) % 16.15/16.53 (assume-push @p3210 @t104) % 16.15/16.53 (assume-push @p3211 @t106) % 16.15/16.53 (assume-push @p3212 @t108) % 16.15/16.53 (assume-push @p3213 @t110) % 16.15/16.53 (assume-push @p3214 @t112) % 16.15/16.53 (assume-push @p3215 @t115) % 16.15/16.53 (assume-push @p3216 @t119) % 16.15/16.53 (assume-push @p3217 @t110) % 16.15/16.53 (assume-push @p3218 @t102) % 16.15/16.53 (assume-push @p3219 @t108) % 16.15/16.53 (assume-push @p3220 @t119) % 16.15/16.53 (assume-push @p3221 @t85) % 16.15/16.53 (assume-push @p3222 @t87) % 16.15/16.53 (assume-push @p3223 @t115) % 16.15/16.53 (assume-push @p3224 @t104) % 16.15/16.53 (assume-push @p3225 @t106) % 16.15/16.53 (assume-push @p3226 @t112) % 16.15/16.53 (assume-push @p3227 @t96) % 16.15/16.53 (step @p106 :rule symm :premises (@p51)) % 16.15/16.53 (step @p107 :rule symm :premises (@p81)) % 16.15/16.53 (step @p108 :rule refl :args (tptp.sk_c7)) % 16.15/16.53 (step @p109 :rule symm :premises (@p54)) % 16.15/16.53 (step @p110 :rule cong :premises (@p109 @p108) :args (@t120)) % 16.15/16.53 (step @p111 :rule cong :premises (@p54 @p107) :args (@t121)) % 16.15/16.53 (step @p112 :rule symm :premises (@p80)) % 16.15/16.53 (step @p113 :rule cong :premises (@p112 @p81) :args (@t118)) % 16.15/16.53 (step @p114 :rule symm :premises (@p83)) % 16.15/16.53 (step @p115 :rule symm :premises (@p3206)) % 16.15/16.53 (step @p116 :rule symm :premises (@p3208)) % 16.15/16.53 (step @p117 :rule cong :premises (@p116 @p115) :args (@t113)) % 16.15/16.53 (step @p118 :rule symm :premises (@p53)) % 16.15/16.53 (step @p119 :rule cong :premises (@p79 @p118) :args (@t122)) % 16.15/16.53 (step @p120 :rule cong :premises (@p109 @p53) :args (@t123)) % 16.15/16.53 (step @p121 :rule refl :args (tptp.sk_c8)) % 16.15/16.53 (step @p122 :rule cong :premises (@p54 @p121) :args (@t105)) % 16.15/16.53 (step @p123 :rule trans :premises (@p53 @p122 @p120 @p119 @p82 @p117)) % 16.15/16.53 (step @p124 :rule refl :args (@t100)) % 16.15/16.53 (step @p125 :rule cong :premises (@p124 @p123) :args (@t107)) % 16.15/16.53 (step @p126 :rule trans :premises (@p80 @p125 @p114 @p113 @p111 @p110 @p107)) % 16.15/16.53 (step @p127 :rule cong :premises (@p126 @p106) :args (@t124)) % 16.15/16.53 (step @p128 :rule cong :premises (@p109 @p51) :args (@t125)) % 16.15/16.53 (step @p129 :rule refl :args (tptp.sk_c6)) % 16.15/16.53 (step @p130 :rule cong :premises (@p54 @p129) :args (@t111)) % 16.15/16.53 (step @p131 :rule symm :premises (@p3207)) % 16.15/16.53 (step @p132 :rule symm :premises (@p123)) % 16.15/16.53 (step @p133 :rule cong :premises (@p108 @p132) :args (@t126)) % 16.15/16.53 (step @p134 :rule trans :premises (@p122 @p120 @p119 @p82 @p117)) % 16.15/16.53 (step @p135 :rule cong :premises (@p126 @p134) :args (@t122)) % 16.15/16.53 (step @p136 :rule trans :premises (@p53 @p122 @p120 @p135 @p133 @p131 @p51 @p130 @p128 @p127)) % 16.15/16.53 (step-pop @p3228 :rule scope :premises (@p136)) % 16.15/16.53 (step-pop @p3229 :rule scope :premises (@p3228)) % 16.15/16.53 (step-pop @p3230 :rule scope :premises (@p3229)) % 16.15/16.53 (step-pop @p3231 :rule scope :premises (@p3230)) % 16.15/16.53 (step-pop @p3232 :rule scope :premises (@p3231)) % 16.15/16.53 (step-pop @p3233 :rule scope :premises (@p3232)) % 16.15/16.53 (step-pop @p3234 :rule scope :premises (@p3233)) % 16.15/16.53 (step-pop @p3235 :rule scope :premises (@p3234)) % 16.15/16.53 (step-pop @p3236 :rule scope :premises (@p3235)) % 16.15/16.53 (step-pop @p3237 :rule scope :premises (@p3236)) % 16.15/16.53 (step-pop @p3238 :rule scope :premises (@p3237)) % 16.15/16.53 (step @p137 :rule process_scope :premises (@p3238) :args (@t128)) % 16.15/16.53 (step @p149 :rule and_intro :premises (@p81 @p54 @p80 @p83 @p3208 @p3206 @p82 @p79 @p53 @p51 @p3207)) % 16.15/16.53 (step @p150 :rule modus_ponens :premises (@p149 @p137)) % 16.15/16.53 (step-pop @p3239 :rule scope :premises (@p150)) % 16.15/16.53 (step-pop @p3240 :rule scope :premises (@p3239)) % 16.15/16.53 (step-pop @p3241 :rule scope :premises (@p3240)) % 16.15/16.53 (step-pop @p3242 :rule scope :premises (@p3241)) % 16.15/16.53 (step-pop @p3243 :rule scope :premises (@p3242)) % 16.15/16.53 (step-pop @p3244 :rule scope :premises (@p3243)) % 16.15/16.53 (step-pop @p3245 :rule scope :premises (@p3244)) % 16.15/16.53 (step-pop @p3246 :rule scope :premises (@p3245)) % 16.15/16.53 (step-pop @p3247 :rule scope :premises (@p3246)) % 16.15/16.53 (step-pop @p3248 :rule scope :premises (@p3247)) % 16.15/16.53 (step-pop @p3249 :rule scope :premises (@p3248)) % 16.15/16.53 (step @p151 :rule process_scope :premises (@p3249) :args (@t128)) % 16.15/16.53 (step @p163 :rule implies_elim :premises (@p151)) % 16.15/16.53 (step @p164 :rule cnf_and_neg :args (@t129)) % 16.15/16.53 (step @p165 :rule resolution :premises (@p164 @p163) :args (true @t129)) % 16.15/16.53 (step @p166 :rule reordering :premises (@p165) :args ((or @t138 @t88 @t86 @t137 @t136 @t135 @t134 @t133 @t132 @t128 @t131 @t130))) % 16.15/16.53 (assume-push @p3250 @t87) % 16.15/16.53 (assume-push @p3251 @t96) % 16.15/16.53 (assume-push @p3252 @t85) % 16.15/16.53 (assume-push @p3253 @t102) % 16.15/16.53 (assume-push @p3254 @t104) % 16.15/16.53 (assume-push @p3255 @t106) % 16.15/16.53 (assume-push @p3256 @t108) % 16.15/16.53 (assume-push @p3257 @t110) % 16.15/16.53 (assume-push @p3258 @t115) % 16.15/16.53 (assume-push @p3259 @t119) % 16.15/16.53 (assume-push @p3260 @t96) % 16.15/16.53 (assume-push @p3261 @t106) % 16.15/16.53 (assume-push @p3262 @t102) % 16.15/16.53 (assume-push @p3263 @t104) % 16.15/16.53 (assume-push @p3264 @t115) % 16.15/16.53 (assume-push @p3265 @t85) % 16.15/16.53 (assume-push @p3266 @t87) % 16.15/16.53 (assume-push @p3267 @t110) % 16.15/16.53 (assume-push @p3268 @t108) % 16.15/16.53 (assume-push @p3269 @t119) % 16.15/16.53 (step @p187 :rule symm :premises (@p3251)) % 16.15/16.53 (step @p118 :rule symm :premises (@p53)) % 16.15/16.53 (step @p121 :rule refl :args (tptp.sk_c8)) % 16.15/16.53 (step @p109 :rule symm :premises (@p54)) % 16.15/16.53 (step @p188 :rule cong :premises (@p109 @p121) :args (@t123)) % 16.15/16.53 (step @p189 :rule cong :premises (@p54 @p118) :args (@t122)) % 16.15/16.53 (step @p190 :rule symm :premises (@p79)) % 16.15/16.53 (step @p191 :rule cong :premises (@p190 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16.15/16.53 (assume-push @p3410 @t106) % 16.15/16.53 (assume-push @p3411 @t108) % 16.15/16.53 (assume-push @p3412 @t110) % 16.15/16.53 (assume-push @p3413 @t112) % 16.15/16.53 (assume-push @p3414 @t143) % 16.15/16.53 (assume-push @p3415 @t145) % 16.15/16.53 (assume-push @p3416 @t157) % 16.15/16.53 (assume-push @p3417 @t115) % 16.15/16.53 (assume-push @p3418 @t119) % 16.15/16.53 (assume-push @p3419 @t96) % 16.15/16.53 (assume-push @p3420 @t106) % 16.15/16.53 (assume-push @p3421 @t102) % 16.15/16.53 (assume-push @p3422 @t104) % 16.15/16.53 (assume-push @p3423 @t115) % 16.15/16.53 (assume-push @p3424 @t85) % 16.15/16.53 (assume-push @p3425 @t87) % 16.15/16.53 (assume-push @p3426 @t110) % 16.15/16.53 (assume-push @p3427 @t108) % 16.15/16.53 (assume-push @p3428 @t119) % 16.15/16.53 (assume-push @p3429 @t97) % 16.15/16.53 (assume-push @p3430 @t157) % 16.15/16.53 (assume-push @p3431 @t112) % 16.15/16.53 (assume-push @p3432 @t145) % 16.15/16.53 (assume-push @p3433 @t98) % 16.15/16.53 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(assume-push @p3471 @t96) % 16.15/16.53 (assume-push @p3472 @t98) % 16.15/16.53 (assume-push @p3473 @t99) % 16.15/16.53 (assume-push @p3474 @t85) % 16.15/16.53 (assume-push @p3475 @t102) % 16.15/16.53 (assume-push @p3476 @t104) % 16.15/16.53 (assume-push @p3477 @t106) % 16.15/16.53 (assume-push @p3478 @t108) % 16.15/16.53 (assume-push @p3479 @t110) % 16.15/16.53 (assume-push @p3480 @t143) % 16.15/16.53 (assume-push @p3481 @t145) % 16.15/16.53 (assume-push @p3482 @t115) % 16.15/16.53 (assume-push @p3483 @t119) % 16.15/16.53 (assume-push @p3484 @t110) % 16.15/16.53 (assume-push @p3485 @t102) % 16.15/16.53 (assume-push @p3486 @t108) % 16.15/16.53 (assume-push @p3487 @t119) % 16.15/16.53 (assume-push @p3488 @t85) % 16.15/16.53 (assume-push @p3489 @t87) % 16.15/16.53 (assume-push @p3490 @t115) % 16.15/16.53 (assume-push @p3491 @t104) % 16.15/16.53 (assume-push @p3492 @t106) % 16.15/16.53 (assume-push @p3493 @t99) % 16.15/16.53 (assume-push @p3494 @t143) % 16.15/16.53 (assume-push @p3495 @t98) % 16.15/16.53 (assume-push @p3496 @t145) % 16.15/16.53 (assume-push @p3497 @t96) % 16.15/16.53 (step @p107 :rule symm :premises (@p81)) % 16.15/16.53 (step @p108 :rule refl :args (tptp.sk_c7)) % 16.15/16.53 (step @p109 :rule symm :premises (@p54)) % 16.15/16.53 (step @p110 :rule cong :premises (@p109 @p108) :args (@t120)) % 16.15/16.53 (step @p111 :rule cong :premises (@p54 @p107) :args (@t121)) % 16.15/16.53 (step @p112 :rule symm :premises (@p80)) % 16.15/16.53 (step @p113 :rule cong :premises (@p112 @p81) :args (@t118)) % 16.15/16.53 (step @p114 :rule symm :premises (@p83)) % 16.15/16.53 (step @p541 :rule symm :premises (@p3470)) % 16.15/16.53 (step @p542 :rule symm :premises (@p3474)) % 16.15/16.53 (step @p543 :rule cong :premises (@p542 @p541) :args (@t113)) % 16.15/16.53 (step @p118 :rule symm :premises (@p53)) % 16.15/16.53 (step @p119 :rule cong :premises (@p79 @p118) :args (@t122)) % 16.15/16.53 (step @p120 :rule cong :premises (@p109 @p53) :args (@t123)) % 16.15/16.53 (step @p121 :rule refl :args (tptp.sk_c8)) % 16.15/16.53 (step @p122 :rule cong :premises (@p54 @p121) :args (@t105)) % 16.15/16.53 (step @p544 :rule trans :premises (@p53 @p122 @p120 @p119 @p82 @p543)) % 16.15/16.53 (step @p124 :rule refl :args (@t100)) % 16.15/16.53 (step @p545 :rule cong :premises (@p124 @p544) :args (@t107)) % 16.15/16.53 (step @p546 :rule trans :premises (@p80 @p545 @p114 @p113 @p111 @p110 @p107)) % 16.15/16.53 (step @p203 :rule refl :args (tptp.sk_c1)) % 16.15/16.53 (step @p547 :rule cong :premises (@p203 @p546) :args (@t162)) % 16.15/16.53 (step @p548 :rule symm :premises (@p545)) % 16.15/16.53 (step @p358 :rule cong :premises (@p80 @p107) :args (@t121)) % 16.15/16.53 (step @p359 :rule cong :premises (@p109 @p81) :args (@t120)) % 16.15/16.53 (step @p360 :rule cong :premises (@p54 @p108) :args (@t109)) % 16.15/16.53 (step @p549 :rule symm :premises (@p3473)) % 16.15/16.53 (step @p550 :rule symm :premises (@p3471)) % 16.15/16.53 (step @p551 :rule symm :premises 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16.15/16.53 (step-pop @p3505 :rule scope :premises (@p3504)) % 16.15/16.53 (step-pop @p3506 :rule scope :premises (@p3505)) % 16.15/16.53 (step-pop @p3507 :rule scope :premises (@p3506)) % 16.15/16.53 (step-pop @p3508 :rule scope :premises (@p3507)) % 16.15/16.53 (step-pop @p3509 :rule scope :premises (@p3508)) % 16.15/16.53 (step-pop @p3510 :rule scope :premises (@p3509)) % 16.15/16.53 (step-pop @p3511 :rule scope :premises (@p3510)) % 16.15/16.53 (step @p570 :rule process_scope :premises (@p3511) :args (@t164)) % 16.15/16.53 (step @p585 :rule and_intro :premises (@p81 @p54 @p80 @p83 @p3474 @p3470 @p82 @p79 @p53 @p3473 @p50 @p3472 @p46 @p3471)) % 16.15/16.53 (step @p586 :rule modus_ponens :premises (@p585 @p570)) % 16.15/16.53 (step-pop @p3512 :rule scope :premises (@p586)) % 16.15/16.53 (step-pop @p3513 :rule scope :premises (@p3512)) % 16.15/16.53 (step-pop @p3514 :rule scope :premises (@p3513)) % 16.15/16.53 (step-pop @p3515 :rule scope :premises (@p3514)) % 16.15/16.53 (step-pop 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16.15/16.53 (assume-push @p3540 @t108) % 16.15/16.53 (assume-push @p3541 @t110) % 16.15/16.53 (assume-push @p3542 @t143) % 16.15/16.53 (assume-push @p3543 @t145) % 16.15/16.53 (assume-push @p3544 @t115) % 16.15/16.53 (assume-push @p3545 @t119) % 16.15/16.53 (assume-push @p3546 @t110) % 16.15/16.53 (assume-push @p3547 @t102) % 16.15/16.53 (assume-push @p3548 @t108) % 16.15/16.53 (assume-push @p3549 @t119) % 16.15/16.53 (assume-push @p3550 @t85) % 16.15/16.53 (assume-push @p3551 @t87) % 16.15/16.53 (assume-push @p3552 @t115) % 16.15/16.53 (assume-push @p3553 @t104) % 16.15/16.53 (assume-push @p3554 @t106) % 16.15/16.53 (assume-push @p3555 @t99) % 16.15/16.53 (assume-push @p3556 @t143) % 16.15/16.53 (assume-push @p3557 @t98) % 16.15/16.53 (assume-push @p3558 @t145) % 16.15/16.53 (assume-push @p3559 @t96) % 16.15/16.53 (step @p107 :rule symm :premises (@p81)) % 16.15/16.53 (step @p108 :rule refl :args (tptp.sk_c7)) % 16.15/16.53 (step @p109 :rule symm :premises (@p54)) % 16.15/16.53 (step 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(@p3581)) % 16.15/16.53 (step-pop @p3583 :rule scope :premises (@p3582)) % 16.15/16.53 (step-pop @p3584 :rule scope :premises (@p3583)) % 16.15/16.53 (step-pop @p3585 :rule scope :premises (@p3584)) % 16.15/16.53 (step-pop @p3586 :rule scope :premises (@p3585)) % 16.15/16.53 (step-pop @p3587 :rule scope :premises (@p3586)) % 16.15/16.53 (step @p729 :rule process_scope :premises (@p3587) :args (@t192)) % 16.15/16.53 (step @p744 :rule implies_elim :premises (@p729)) % 16.15/16.53 (step @p745 :rule resolution :premises (@p323 @p744) :args (true @t150)) % 16.15/16.53 (step @p746 :rule reordering :premises (@p745) :args ((or @t138 @t88 @t154 @t153 @t86 @t137 @t136 @t135 @t134 @t133 @t152 @t151 @t131 @t130 @t192))) % 16.15/16.53 (step @p747 :rule cnf_or_pos :args (@t194)) % 16.15/16.53 (step @p748 :rule reordering :premises (@p747) :args ((or @t169 @t193 (not @t194)))) % 16.15/16.54 (assume-push @p3588 @t188) % 16.15/16.54 (step @p750 :rule instantiate :premises (@p3588) :args (@t94)) % 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@t119) % 16.15/16.54 (assume-push @p4250 @t87) % 16.15/16.54 (assume-push @p4251 @t226) % 16.15/16.54 (assume-push @p4252 @t97) % 16.15/16.54 (assume-push @p4253 @t237) % 16.15/16.54 (assume-push @p4254 @t229) % 16.15/16.54 (assume-push @p4255 @t252) % 16.15/16.54 (step @p1808 :rule symm :premises (@p4218)) % 16.15/16.54 (step @p1809 :rule cong :premises (@p1808) :args (@t250)) % 16.15/16.54 (step @p1810 :rule symm :premises (@p4219)) % 16.15/16.54 (step @p129 :rule refl :args (tptp.sk_c6)) % 16.15/16.54 (step @p270 :rule symm :premises (@p50)) % 16.15/16.54 (step @p1444 :rule cong :premises (@p52 @p270) :args (@t147)) % 16.15/16.54 (step @p109 :rule symm :premises (@p54)) % 16.15/16.54 (step @p273 :rule cong :premises (@p109 @p50) :args (@t148)) % 16.15/16.54 (step @p274 :rule refl :args (tptp.sk_c5)) % 16.15/16.54 (step @p275 :rule cong :premises (@p54 @p274) :args (@t142)) % 16.15/16.54 (step @p1445 :rule trans :premises (@p50 @p275 @p273 @p1444 @p41)) % 16.15/16.54 (step @p1446 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16.15/16.54 (step @p1838 :rule symm :premises (@p1809)) % 16.15/16.54 (step @p1839 :rule cong :premises (@p1838 @p1837) :args (@t230)) % 16.15/16.54 (step @p1840 :rule trans :premises (@p50 @p275 @p273 @p1444 @p41 @p1839 @p1835 @p114 @p113 @p111 @p110 @p107 @p4219 @p1446 @p40 @p1819 @p1011 @p1010 @p189 @p188 @p118)) % 16.15/16.54 (step @p1841 :rule cong :premises (@p1840) :args (@t20)) % 16.15/16.54 (step @p1842 :rule trans :premises (@p53 @p122 @p120 @p1102 @p42 @p1816 @p1466 @p1465 @p1810 @p4218 @p1841 @p1818 @p1809)) % 16.15/16.54 (step-pop @p4256 :rule scope :premises (@p1842)) % 16.15/16.54 (step-pop @p4257 :rule scope :premises (@p4256)) % 16.15/16.54 (step-pop @p4258 :rule scope :premises (@p4257)) % 16.15/16.54 (step-pop @p4259 :rule scope :premises (@p4258)) % 16.15/16.54 (step-pop @p4260 :rule scope :premises (@p4259)) % 16.15/16.54 (step-pop @p4261 :rule scope :premises (@p4260)) % 16.15/16.54 (step-pop @p4262 :rule scope :premises (@p4261)) % 16.15/16.54 (step-pop @p4263 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16.15/16.55 (step @p2568 :rule symm :premises (@p2556)) % 16.15/16.55 (step @p2569 :rule cong :premises (@p2568 @p2567) :args (@t251)) % 16.15/16.55 (step @p269 :rule symm :premises (@p46)) % 16.15/16.55 (step @p2570 :rule symm :premises (@p2549)) % 16.15/16.55 (step @p2571 :rule trans :premises (@p2570 @p269 @p1632 @p2569 @p114 @p113 @p111 @p110 @p107 @p5097)) % 16.15/16.55 (step @p2572 :rule symm :premises (@p2547)) % 16.15/16.55 (step @p2573 :rule cong :premises (@p2572 @p2571) :args (@t230)) % 16.15/16.55 (step @p2574 :rule trans :premises (@p50 @p275 @p273 @p1444 @p41 @p2573 @p2569 @p114 @p113 @p111 @p110 @p107 @p5098 @p1446 @p40 @p2557 @p1011 @p1010 @p189 @p188 @p118)) % 16.15/16.55 (step @p2575 :rule cong :premises (@p2574) :args (@t20)) % 16.15/16.55 (step @p2576 :rule trans :premises (@p53 @p122 @p120 @p1102 @p42 @p2554 @p1466 @p1465 @p2548 @p5097 @p2575 @p2556 @p2547)) % 16.15/16.55 (step-pop @p5134 :rule scope :premises (@p2576)) % 16.15/16.55 (step-pop @p5135 :rule scope :premises (@p5134)) % 16.15/16.55 (step-pop @p5136 :rule scope :premises (@p5135)) % 16.15/16.55 (step-pop @p5137 :rule scope :premises (@p5136)) % 16.15/16.55 (step-pop @p5138 :rule scope :premises (@p5137)) % 16.15/16.55 (step-pop @p5139 :rule scope :premises (@p5138)) % 16.15/16.55 (step-pop @p5140 :rule scope :premises (@p5139)) % 16.15/16.55 (step-pop @p5141 :rule scope :premises (@p5140)) % 16.15/16.55 (step-pop @p5142 :rule scope :premises (@p5141)) % 16.15/16.55 (step-pop @p5143 :rule scope :premises (@p5142)) % 16.15/16.55 (step-pop @p5144 :rule scope :premises (@p5143)) % 16.15/16.55 (step-pop @p5145 :rule scope :premises (@p5144)) % 16.15/16.55 (step-pop @p5146 :rule scope :premises (@p5145)) % 16.15/16.55 (step-pop @p5147 :rule scope :premises (@p5146)) % 16.15/16.55 (step-pop @p5148 :rule scope :premises (@p5147)) % 16.15/16.55 (step-pop @p5149 :rule scope :premises (@p5148)) % 16.15/16.55 (step-pop @p5150 :rule scope :premises (@p5149)) % 16.15/16.55 (step-pop @p5151 :rule scope :premises (@p5150)) % 16.15/16.55 (step-pop @p5152 :rule scope :premises (@p5151)) % 16.15/16.55 (step-pop @p5153 :rule scope :premises (@p5152)) % 16.15/16.55 (step @p3152 :rule process_scope :premises (@p5153) :args (@t260)) % 16.15/16.55 (step @p3173 :rule and_intro :premises (@p5097 @p5098 @p50 @p54 @p52 @p41 @p40 @p46 @p51 @p5094 @p42 @p53 @p81 @p80 @p83 @p5095 @p5096 @p1402 @p1401 @p1632)) % 16.15/16.55 (step @p3174 :rule modus_ponens :premises (@p3173 @p3152)) % 16.15/16.55 (step-pop @p5154 :rule scope :premises (@p3174)) % 16.15/16.55 (step-pop @p5155 :rule scope :premises (@p5154)) % 16.15/16.55 (step-pop @p5156 :rule scope :premises (@p5155)) % 16.15/16.55 (step-pop @p5157 :rule scope :premises (@p5156)) % 16.15/16.55 (step-pop @p5158 :rule scope :premises (@p5157)) % 16.15/16.55 (step-pop @p5159 :rule scope :premises (@p5158)) % 16.15/16.55 (step-pop @p5160 :rule scope :premises (@p5159)) % 16.15/16.55 (step-pop @p5161 :rule scope :premises (@p5160)) % 16.15/16.55 (step-pop @p5162 :rule scope :premises (@p5161)) % 16.15/16.55 (step-pop @p5163 :rule scope :premises (@p5162)) % 16.15/16.55 (step-pop @p5164 :rule scope :premises (@p5163)) % 16.15/16.55 (step-pop @p5165 :rule scope :premises (@p5164)) % 16.15/16.55 (step-pop @p5166 :rule scope :premises (@p5165)) % 16.15/16.55 (step-pop @p5167 :rule scope :premises (@p5166)) % 16.15/16.55 (step-pop @p5168 :rule scope :premises (@p5167)) % 16.15/16.55 (step-pop @p5169 :rule scope :premises (@p5168)) % 16.15/16.55 (step-pop @p5170 :rule scope :premises (@p5169)) % 16.15/16.55 (step-pop @p5171 :rule scope :premises (@p5170)) % 16.15/16.55 (step-pop @p5172 :rule scope :premises (@p5171)) % 16.15/16.55 (step-pop @p5173 :rule scope :premises (@p5172)) % 16.15/16.55 (step @p3175 :rule process_scope :premises (@p5173) :args (@t260)) % 16.15/16.55 (step @p3196 :rule implies_elim :premises (@p3175)) % 16.15/16.55 (step @p3197 :rule resolution :premises (@p2812 @p3196) :args (true @t292)) % 16.15/16.55 (step @p3198 :rule reordering :premises (@p3197) :args ((or @t138 @t245 @t161 @t154 @t153 @t137 @t135 @t134 @t133 @t214 @t132 @t244 @t152 @t151 @t255 @t221 @t260 @t130 @t243 @t242 @t241))) % 16.15/16.55 (step @p3199 :rule chain_m_resolution :premises (@p3198 @p2491 @p2488 @p2495 @p2485 @p2482 @p54 @p53 @p80 @p81 @p52 @p51 @p1401 @p50 @p46 @p1632 @p42 @p83 @p41 @p40 @p1402) :args (@t260 @t293 @t294)) % 16.15/16.55 (step @p3200 :rule chain_m_resolution :premises (@p1981 @p2491 @p2488 @p2495 @p2485 @p2482 @p54 @p53 @p52 @p51 @p1401 @p50 @p46 @p42 @p41 @p40 @p1402) :args (@t261 @t295 @t296)) % 16.15/16.55 (step @p3201 :rule chain_m_resolution :premises (@p1983 @p3200 @p3199) :args (@t266 @t291 (@list @t261 @t260))) % 16.15/16.55 (step @p3202 :rule chain_m_resolution :premises (@p1989 @p3201) :args ((not @t93) @t287 (@list @t265))) % 16.15/16.55 (step @p3203 false :rule chain_m_resolution :premises (@p656 @p3202 @p3111 @p3017 @p3015 @p2916 @p2491 @p2697) :args (false (@list true true true false true false true) (@list @t93 @t180 @t184 @t159 @t176 @t96 @t188))) % 16.15/16.55 ) % 16.15/16.55 % SZS output end Proof % 16.15/16.55 % cvc5 exiting %------------------------------------------------------------------------------