%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP311-1 : 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 : n002.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 16.00s 16.27s % Output : Proof 16.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP311-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:01:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.70/15.98 --- Run --no-e-matching --full-saturate-quant at 6... % 16.00/16.27 % SZS status Unsatisfiable % 16.00/16.27 % SZS output start Proof % 16.10/16.30 ( % 16.10/16.30 (declare-sort $$unsorted 0) % 16.10/16.30 (declare-const tptp.sk_c1 $$unsorted) % 16.10/16.30 (declare-const tptp.sk_c6 $$unsorted) % 16.10/16.30 (declare-const tptp.sk_c7 $$unsorted) % 16.10/16.30 (declare-const tptp.sk_c4 $$unsorted) % 16.10/16.30 (declare-const tptp.sk_c5 $$unsorted) % 16.10/16.30 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.10/16.30 (declare-const tptp.sk_c2 $$unsorted) % 16.10/16.30 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.10/16.30 (declare-const tptp.sk_c3 $$unsorted) % 16.10/16.30 (declare-const tptp.identity $$unsorted) % 16.10/16.30 (define @t1 () (@var "X" $$unsorted)) % 16.10/16.30 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.10/16.30 (define @t3 () (@list @t1)) % 16.10/16.30 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.10/16.30 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.10/16.30 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.10/16.30 (define @t7 () (@var "Z" $$unsorted)) % 16.10/16.30 (define @t8 () (@var "Y" $$unsorted)) % 16.10/16.30 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.10/16.30 (define @t10 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 16.10/16.30 (define @t11 () (= @t10 tptp.sk_c5)) % 16.10/16.30 (define @t12 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 16.10/16.30 (define @t13 () (= @t12 tptp.sk_c5)) % 16.10/16.30 (define @t14 () (or @t13 @t11)) % 16.10/16.30 (define @t15 () (tptp.inverse tptp.sk_c3)) % 16.10/16.30 (define @t16 () (= @t15 tptp.sk_c7)) % 16.10/16.30 (define @t17 () (or @t13 @t16)) % 16.10/16.30 (define @t18 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 16.10/16.30 (define @t19 () (= @t18 tptp.sk_c7)) % 16.10/16.30 (define @t20 () (or @t13 @t19)) % 16.10/16.30 (define @t21 () (tptp.inverse tptp.sk_c4)) % 16.10/16.30 (define @t22 () (= @t21 tptp.sk_c6)) % 16.10/16.30 (define @t23 () (or @t13 @t22)) % 16.10/16.30 (define @t24 () (tptp.multiply tptp.sk_c4 tptp.sk_c5)) % 16.10/16.30 (define @t25 () (= @t24 tptp.sk_c6)) % 16.10/16.30 (define @t26 () (or @t13 @t25)) % 16.10/16.30 (define @t27 () (tptp.inverse tptp.sk_c7)) % 16.10/16.30 (define @t28 () (= @t27 tptp.sk_c5)) % 16.10/16.30 (define @t29 () (or @t28 @t11)) % 16.10/16.30 (define @t30 () (or @t28 @t16)) % 16.10/16.30 (define @t31 () (or @t28 @t19)) % 16.10/16.30 (define @t32 () (or @t28 @t22)) % 16.10/16.30 (define @t33 () (or @t28 @t25)) % 16.10/16.30 (define @t34 () (tptp.multiply tptp.sk_c5 tptp.sk_c6)) % 16.10/16.30 (define @t35 () (= @t34 tptp.sk_c7)) % 16.10/16.30 (define @t36 () (or @t35 @t11)) % 16.10/16.30 (define @t37 () (or @t35 @t16)) % 16.10/16.30 (define @t38 () (or @t35 @t19)) % 16.10/16.30 (define @t39 () (or @t35 @t22)) % 16.10/16.30 (define @t40 () (or @t35 @t25)) % 16.10/16.30 (define @t41 () (tptp.multiply tptp.sk_c7 tptp.sk_c2)) % 16.10/16.30 (define @t42 () (= @t41 tptp.sk_c6)) % 16.10/16.30 (define @t43 () (or @t42 @t11)) % 16.10/16.30 (define @t44 () (or @t42 @t22)) % 16.10/16.30 (define @t45 () (or @t42 @t25)) % 16.10/16.30 (define @t46 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 16.10/16.30 (define @t47 () (= @t46 tptp.sk_c2)) % 16.10/16.30 (define @t48 () (or @t47 @t16)) % 16.10/16.30 (define @t49 () (or @t47 @t22)) % 16.10/16.30 (define @t50 () (or @t47 @t25)) % 16.10/16.30 (define @t51 () (tptp.inverse tptp.sk_c1)) % 16.10/16.30 (define @t52 () (= @t51 tptp.sk_c7)) % 16.10/16.30 (define @t53 () (or @t52 @t16)) % 16.10/16.30 (define @t54 () (or @t52 @t22)) % 16.10/16.30 (define @t55 () (or @t52 @t25)) % 16.10/16.30 (define @t56 () (@var "X2" $$unsorted)) % 16.10/16.30 (define @t57 () (tptp.multiply @t56 tptp.sk_c5)) % 16.10/16.30 (define @t58 () (not (= @t57 tptp.sk_c6))) % 16.10/16.30 (define @t59 () (tptp.inverse @t56)) % 16.10/16.30 (define @t60 () (not (= @t59 tptp.sk_c6))) % 16.10/16.30 (define @t61 () (@var "X1" $$unsorted)) % 16.10/16.30 (define @t62 () (tptp.multiply @t61 tptp.sk_c6)) % 16.10/16.30 (define @t63 () (not (= @t62 tptp.sk_c7))) % 16.10/16.30 (define @t64 () (tptp.inverse @t61)) % 16.10/16.30 (define @t65 () (not (= @t64 tptp.sk_c7))) % 16.10/16.30 (define @t66 () (not @t11)) % 16.10/16.30 (define @t67 () (@var "X4" $$unsorted)) % 16.10/16.30 (define @t68 () (tptp.inverse @t67)) % 16.10/16.30 (define @t69 () (not (= @t68 tptp.sk_c7))) % 16.10/16.30 (define @t70 () (@var "X3" $$unsorted)) % 16.10/16.30 (define @t71 () (tptp.multiply @t67 tptp.sk_c7)) % 16.10/16.30 (define @t72 () (not (= @t71 @t70))) % 16.10/16.30 (define @t73 () (tptp.multiply tptp.sk_c7 @t70)) % 16.10/16.30 (define @t74 () (not (= @t73 tptp.sk_c6))) % 16.10/16.30 (define @t75 () (not @t35)) % 16.10/16.30 (define @t76 () (not @t28)) % 16.10/16.30 (define @t77 () (not @t13)) % 16.10/16.30 (define @t78 () (or @t77 @t76 @t75 @t74 @t72 @t69 @t66 @t65 @t63 @t60 @t58)) % 16.10/16.30 (define @t79 () (@list @t70 @t67 @t61 @t56)) % 16.10/16.30 (define @t80 () (forall @t79 @t78)) % 16.10/16.30 (define @t81 () (@list tptp.identity)) % 16.10/16.30 (define @t82 () (@list tptp.sk_c7)) % 16.10/16.30 (define @t83 () (@list tptp.sk_c6)) % 16.10/16.30 (define @t84 () (@list tptp.sk_c3)) % 16.10/16.30 (define @t85 () (@list tptp.sk_c4)) % 16.10/16.30 (define @t86 () (tptp.inverse tptp.sk_c6)) % 16.10/16.30 (define @t87 () (tptp.multiply @t86 tptp.identity)) % 16.10/16.30 (define @t88 () (= tptp.sk_c5 @t12)) % 16.10/16.30 (define @t89 () (= tptp.sk_c5 @t27)) % 16.10/16.30 (define @t90 () (= tptp.sk_c7 @t34)) % 16.10/16.30 (define @t91 () (= tptp.sk_c6 @t41)) % 16.10/16.30 (define @t92 () (tptp.multiply tptp.identity tptp.identity)) % 16.10/16.30 (define @t93 () (= tptp.identity @t92)) % 16.10/16.30 (define @t94 () (tptp.multiply @t27 tptp.sk_c7)) % 16.10/16.30 (define @t95 () (= tptp.identity @t94)) % 16.10/16.30 (define @t96 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.10/16.30 (define @t97 () (= tptp.sk_c2 @t96)) % 16.10/16.30 (define @t98 () (tptp.multiply @t27 @t41)) % 16.10/16.30 (define @t99 () (tptp.multiply @t94 tptp.sk_c2)) % 16.10/16.30 (define @t100 () (= @t99 @t98)) % 16.10/16.30 (define @t101 () (tptp.multiply tptp.sk_c2 tptp.sk_c7)) % 16.10/16.30 (define @t102 () (tptp.multiply tptp.sk_c7 @t101)) % 16.10/16.30 (define @t103 () (tptp.multiply @t41 tptp.sk_c7)) % 16.10/16.30 (define @t104 () (= @t103 @t102)) % 16.10/16.30 (define @t105 () (tptp.multiply tptp.identity @t96)) % 16.10/16.30 (define @t106 () (tptp.multiply @t92 tptp.sk_c2)) % 16.10/16.30 (define @t107 () (= tptp.sk_c5 @t10)) % 16.10/16.30 (define @t108 () (and @t88 @t89 @t90 @t91 @t93 @t95 @t97 @t100 @t104)) % 16.10/16.30 (define @t109 () (not @t104)) % 16.10/16.30 (define @t110 () (not @t100)) % 16.10/16.30 (define @t111 () (not @t97)) % 16.10/16.30 (define @t112 () (not @t95)) % 16.10/16.30 (define @t113 () (not @t93)) % 16.10/16.30 (define @t114 () (not @t91)) % 16.10/16.30 (define @t115 () (not @t90)) % 16.10/16.30 (define @t116 () (not @t89)) % 16.10/16.30 (define @t117 () (not @t88)) % 16.10/16.30 (define @t118 () (tptp.multiply tptp.identity tptp.sk_c7)) % 16.10/16.30 (define @t119 () (= tptp.sk_c7 @t118)) % 16.10/16.30 (define @t120 () (tptp.multiply tptp.sk_c7 @t118)) % 16.10/16.30 (define @t121 () (= tptp.sk_c6 @t120)) % 16.10/16.30 (define @t122 () (and @t89 @t90 @t91 @t93 @t119 @t95 @t97 @t100)) % 16.10/16.30 (define @t123 () (forall @t3 (= @t1 @t2))) % 16.10/16.30 (define @t124 () (forall @t3 (= tptp.identity @t5))) % 16.10/16.30 (define @t125 () (= tptp.sk_c7 @t51)) % 16.10/16.30 (define @t126 () (= tptp.sk_c7 @t15)) % 16.10/16.30 (define @t127 () (= tptp.sk_c6 @t21)) % 16.10/16.30 (define @t128 () (= tptp.sk_c6 @t24)) % 16.10/16.30 (define @t129 () (tptp.inverse tptp.sk_c5)) % 16.10/16.30 (define @t130 () (tptp.multiply tptp.identity tptp.sk_c6)) % 16.10/16.30 (define @t131 () (= tptp.sk_c6 @t130)) % 16.10/16.30 (define @t132 () (tptp.multiply @t86 tptp.sk_c6)) % 16.10/16.30 (define @t133 () (= tptp.identity @t132)) % 16.10/16.30 (define @t134 () (tptp.multiply @t129 tptp.sk_c5)) % 16.10/16.30 (define @t135 () (= tptp.identity @t134)) % 16.10/16.30 (define @t136 () (tptp.multiply tptp.identity tptp.sk_c4)) % 16.10/16.30 (define @t137 () (= tptp.sk_c4 @t136)) % 16.10/16.30 (define @t138 () (tptp.multiply @t21 tptp.sk_c4)) % 16.10/16.30 (define @t139 () (= tptp.identity @t138)) % 16.10/16.30 (define @t140 () (tptp.multiply @t129 @t34)) % 16.10/16.30 (define @t141 () (tptp.multiply @t134 tptp.sk_c6)) % 16.10/16.30 (define @t142 () (= @t141 @t140)) % 16.10/16.30 (define @t143 () (tptp.multiply tptp.sk_c6 tptp.sk_c4)) % 16.10/16.30 (define @t144 () (tptp.multiply @t86 @t143)) % 16.10/16.30 (define @t145 () (tptp.multiply @t132 tptp.sk_c4)) % 16.10/16.30 (define @t146 () (= @t145 @t144)) % 16.10/16.30 (define @t147 () (tptp.multiply @t86 @t92)) % 16.10/16.30 (define @t148 () (tptp.multiply @t87 tptp.identity)) % 16.10/16.30 (define @t149 () (= @t148 @t147)) % 16.10/16.30 (define @t150 () (tptp.multiply tptp.sk_c5 tptp.sk_c7)) % 16.10/16.30 (define @t151 () (tptp.multiply tptp.sk_c4 @t150)) % 16.10/16.30 (define @t152 () (tptp.multiply @t24 tptp.sk_c7)) % 16.10/16.30 (define @t153 () (= @t152 @t151)) % 16.10/16.30 (define @t154 () (tptp.multiply tptp.identity @t130)) % 16.10/16.30 (define @t155 () (tptp.multiply @t92 tptp.sk_c6)) % 16.10/16.30 (define @t156 () (tptp.multiply @t92 tptp.sk_c4)) % 16.10/16.30 (define @t157 () (tptp.multiply tptp.identity @t136)) % 16.10/16.30 (define @t158 () (tptp.multiply @t129 tptp.sk_c7)) % 16.10/16.30 (define @t159 () (tptp.multiply tptp.sk_c7 @t158)) % 16.10/16.30 (define @t160 () (= tptp.sk_c6 @t159)) % 16.10/16.30 (define @t161 () (and @t88 @t127 @t128 @t89 @t90 @t91 @t93 @t119 @t95 @t131 @t133 @t135 @t137 @t139 @t97 @t100 @t104 @t142 @t146 @t149 @t153)) % 16.10/16.30 (define @t162 () (not @t153)) % 16.10/16.30 (define @t163 () (not @t149)) % 16.10/16.30 (define @t164 () (not @t146)) % 16.10/16.30 (define @t165 () (not @t142)) % 16.10/16.30 (define @t166 () (not @t139)) % 16.10/16.30 (define @t167 () (not @t137)) % 16.10/16.30 (define @t168 () (not @t135)) % 16.10/16.30 (define @t169 () (not @t133)) % 16.10/16.30 (define @t170 () (not @t131)) % 16.10/16.30 (define @t171 () (not @t119)) % 16.10/16.30 (define @t172 () (not @t128)) % 16.10/16.30 (define @t173 () (not @t127)) % 16.10/16.30 (define @t174 () (= tptp.sk_c6 @t27)) % 16.10/16.30 (define @t175 () (tptp.multiply tptp.sk_c7 @t10)) % 16.10/16.30 (define @t176 () (tptp.multiply tptp.sk_c7 @t87)) % 16.10/16.30 (define @t177 () (tptp.multiply tptp.sk_c7 tptp.sk_c5)) % 16.10/16.30 (define @t178 () (= tptp.sk_c6 @t177)) % 16.10/16.30 (define @t179 () (tptp.inverse @t15)) % 16.10/16.30 (define @t180 () (= tptp.sk_c7 (tptp.inverse @t129))) % 16.10/16.30 (define @t181 () (and @t88 @t126 @t127 @t128 @t89 @t90 @t91 @t93 @t119 @t95 @t131 @t133 @t135 @t137 @t139 @t97 @t100 @t104 @t142 @t146 @t149 @t153)) % 16.10/16.30 (define @t182 () (not @t126)) % 16.10/16.30 (define @t183 () (= tptp.sk_c7 @t27)) % 16.10/16.30 (define @t184 () (= tptp.sk_c7 @t130)) % 16.10/16.30 (define @t185 () (tptp.multiply @t12 tptp.sk_c7)) % 16.10/16.30 (define @t186 () (= @t185 @t175)) % 16.10/16.30 (define @t187 () (= @t175 @t185)) % 16.10/16.30 (define @t188 () (= tptp.sk_c7 (tptp.inverse tptp.identity))) % 16.10/16.30 (define @t189 () (and @t88 @t126 @t127 @t128 @t89 @t90 @t91 @t93 @t119 @t95 @t131 @t133 @t135 @t137 @t139 @t97 @t100 @t104 @t187 @t142 @t146 @t149 @t153)) % 16.10/16.30 (define @t190 () (not @t187)) % 16.10/16.30 (define @t191 () (not @t178)) % 16.10/16.30 (define @t192 () (not @t174)) % 16.10/16.30 (define @t193 () (or @t192 @t191)) % 16.10/16.30 (define @t194 () (not @t180)) % 16.10/16.30 (define @t195 () (not @t160)) % 16.10/16.30 (define @t196 () (or @t195 @t194)) % 16.10/16.30 (define @t197 () (not @t184)) % 16.10/16.30 (define @t198 () (not @t188)) % 16.10/16.30 (define @t199 () (or @t198 @t197)) % 16.10/16.30 (define @t200 () (not (= tptp.sk_c6 @t57))) % 16.10/16.30 (define @t201 () (not (= tptp.sk_c6 @t59))) % 16.10/16.30 (define @t202 () (or @t201 @t200)) % 16.10/16.30 (define @t203 () (forall (@list @t56) @t202)) % 16.10/16.30 (define @t204 () (not (= tptp.sk_c7 @t68))) % 16.10/16.30 (define @t205 () (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 @t71)))) % 16.10/16.30 (define @t206 () (or @t205 @t204)) % 16.10/16.30 (define @t207 () (@list @t67)) % 16.10/16.30 (define @t208 () (forall @t207 @t206)) % 16.10/16.30 (define @t209 () (not (= tptp.sk_c7 @t62))) % 16.10/16.30 (define @t210 () (not (= tptp.sk_c7 @t64))) % 16.10/16.30 (define @t211 () (or @t210 @t209)) % 16.10/16.30 (define @t212 () (forall (@list @t61) @t211)) % 16.10/16.30 (define @t213 () (not (= @t71 @t71))) % 16.10/16.30 (define @t214 () (or @t205 @t213 @t204)) % 16.10/16.30 (define @t215 () (not (= @t70 @t71))) % 16.10/16.30 (define @t216 () (not (= tptp.sk_c6 @t73))) % 16.10/16.30 (define @t217 () (or @t215 @t216 @t215 @t204)) % 16.10/16.30 (define @t218 () (@list @t70)) % 16.10/16.30 (define @t219 () (or @t216 @t215 @t204)) % 16.10/16.30 (define @t220 () (forall @t218 @t219)) % 16.10/16.30 (define @t221 () (forall @t207 @t220)) % 16.10/16.30 (define @t222 () (forall (@list @t67 @t70) @t219)) % 16.10/16.30 (define @t223 () (forall (@list @t70 @t67) @t219)) % 16.10/16.30 (define @t224 () (not @t107)) % 16.10/16.30 (define @t225 () (or @t117 @t116 @t115 @t224 @t223 @t212 @t203)) % 16.10/16.30 (define @t226 () (or @t117 @t116 @t115 @t224 @t219 @t211 @t202)) % 16.10/16.30 (define @t227 () (or @t117 @t116 @t115 @t216 @t215 @t204 @t224 @t210 @t209 @t201 @t200)) % 16.10/16.30 (define @t228 () (= tptp.sk_c2 @t46)) % 16.10/16.30 (define @t229 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 @t46))) % 16.10/16.30 (define @t230 () (and @t91 @t228)) % 16.10/16.30 (define @t231 () (not @t125)) % 16.10/16.30 (define @t232 () (not @t229)) % 16.10/16.30 (define @t233 () (or @t232 @t231)) % 16.10/16.30 (define @t234 () (@list tptp.sk_c1)) % 16.10/16.30 (define @t235 () (not @t208)) % 16.10/16.30 (define @t236 () (not @t228)) % 16.10/16.30 (define @t237 () (tptp.multiply @t51 tptp.sk_c1)) % 16.10/16.30 (define @t238 () (= tptp.identity @t237)) % 16.10/16.30 (define @t239 () (tptp.multiply @t51 @t46)) % 16.10/16.30 (define @t240 () (tptp.multiply @t237 tptp.sk_c7)) % 16.10/16.30 (define @t241 () (= @t240 @t239)) % 16.10/16.30 (define @t242 () (tptp.multiply tptp.identity @t118)) % 16.10/16.30 (define @t243 () (tptp.multiply @t92 tptp.sk_c7)) % 16.10/16.30 (define @t244 () (and @t91 @t228 @t125 @t93 @t119 @t131 @t238 @t241)) % 16.10/16.30 (define @t245 () (not @t241)) % 16.10/16.30 (define @t246 () (not @t238)) % 16.10/16.30 (define @t247 () (and @t88 @t89 @t90 @t91 @t228 @t125 @t93 @t119 @t95 @t97 @t100 @t238 @t241)) % 16.10/16.30 (define @t248 () (not @t121)) % 16.10/16.30 (define @t249 () (or @t248 @t198)) % 16.10/16.30 (define @t250 () (and @t88 @t107 @t127 @t128 @t89 @t90 @t93 @t95 @t131 @t133 @t135 @t137 @t139 @t142 @t146 @t149 @t153)) % 16.10/16.30 (define @t251 () (and @t107 @t127 @t128 @t89 @t90 @t93 @t95 @t131 @t133 @t135 @t137 @t139 @t142 @t146 @t149 @t153)) % 16.10/16.30 (define @t252 () (and @t88 @t107 @t127 @t128 @t89 @t90 @t93 @t95 @t131 @t133 @t135 @t137 @t139 @t187 @t142 @t146 @t149 @t153)) % 16.10/16.30 (define @t253 () (= tptp.sk_c7 @t18)) % 16.10/16.30 (define @t254 () (tptp.multiply tptp.identity tptp.sk_c3)) % 16.10/16.30 (define @t255 () (= tptp.sk_c3 @t254)) % 16.10/16.30 (define @t256 () (tptp.multiply @t15 tptp.sk_c3)) % 16.10/16.30 (define @t257 () (= tptp.identity @t256)) % 16.10/16.30 (define @t258 () (tptp.multiply @t177 tptp.sk_c7)) % 16.10/16.30 (define @t259 () (= @t258 (tptp.multiply tptp.sk_c7 @t150))) % 16.10/16.30 (define @t260 () (tptp.multiply @t10 tptp.sk_c6)) % 16.10/16.30 (define @t261 () (= @t260 (tptp.multiply tptp.sk_c6 @t12))) % 16.10/16.30 (define @t262 () (tptp.multiply tptp.sk_c6 tptp.sk_c5)) % 16.10/16.30 (define @t263 () (tptp.multiply tptp.sk_c7 @t262)) % 16.10/16.30 (define @t264 () (= (tptp.multiply @t12 tptp.sk_c5) @t263)) % 16.10/16.30 (define @t265 () (tptp.multiply tptp.sk_c7 tptp.sk_c3)) % 16.10/16.30 (define @t266 () (tptp.multiply @t27 @t265)) % 16.10/16.30 (define @t267 () (= (tptp.multiply @t94 tptp.sk_c3) @t266)) % 16.10/16.30 (define @t268 () (tptp.multiply tptp.sk_c3 tptp.sk_c7)) % 16.10/16.30 (define @t269 () (and @t88 @t107 @t126 @t253 @t127 @t128 @t89 @t93 @t119 @t95 @t133 @t255 @t257 @t137 @t139 @t187 @t259 @t146 @t149 @t153 @t261 @t264 @t267)) % 16.10/16.30 (define @t270 () (not @t257)) % 16.10/16.30 (define @t271 () (not @t253)) % 16.10/16.30 (define @t272 () (@quantifiers_skolemize @t208 0)) % 16.10/16.30 (define @t273 () (tptp.multiply @t272 tptp.sk_c7)) % 16.10/16.30 (define @t274 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 @t273))) % 16.10/16.30 (define @t275 () (tptp.inverse @t272)) % 16.10/16.30 (define @t276 () (= tptp.sk_c7 @t275)) % 16.10/16.30 (define @t277 () (not @t276)) % 16.10/16.30 (define @t278 () (not @t274)) % 16.10/16.30 (define @t279 () (or @t278 @t277)) % 16.10/16.30 (define @t280 () (tptp.multiply @t256 tptp.sk_c6)) % 16.10/16.30 (define @t281 () (= @t280 (tptp.multiply @t15 @t18))) % 16.10/16.30 (define @t282 () (not @t281)) % 16.10/16.30 (define @t283 () (tptp.multiply @t275 @t273)) % 16.10/16.30 (define @t284 () (tptp.multiply @t275 @t272)) % 16.10/16.30 (define @t285 () (= (tptp.multiply @t284 tptp.sk_c7) @t283)) % 16.10/16.30 (define @t286 () (not @t285)) % 16.10/16.30 (define @t287 () (tptp.multiply @t87 tptp.sk_c7)) % 16.10/16.30 (define @t288 () (= @t287 (tptp.multiply @t86 @t118))) % 16.10/16.30 (define @t289 () (not @t288)) % 16.10/16.30 (define @t290 () (= tptp.identity @t284)) % 16.10/16.30 (define @t291 () (not @t290)) % 16.10/16.30 (define @t292 () (tptp.inverse @t21)) % 16.10/16.30 (define @t293 () (tptp.multiply @t292 @t21)) % 16.10/16.30 (define @t294 () (= tptp.identity @t293)) % 16.10/16.30 (define @t295 () (not @t294)) % 16.10/16.30 (define @t296 () (= tptp.sk_c7 @t86)) % 16.10/16.30 (define @t297 () (not @t296)) % 16.10/16.30 (define @t298 () (tptp.multiply @t275 tptp.sk_c7)) % 16.10/16.30 (define @t299 () (tptp.multiply tptp.sk_c7 @t298)) % 16.10/16.30 (define @t300 () (and @t297 @t296)) % 16.10/16.30 (define @t301 () (not @t279)) % 16.10/16.30 (define @t302 () (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 @t268))) % 16.10/16.30 (define @t303 () (not @t302)) % 16.10/16.30 (define @t304 () (or @t303 @t182)) % 16.10/16.30 (define @t305 () (tptp.multiply @t15 @t268)) % 16.10/16.30 (define @t306 () (= (tptp.multiply @t256 tptp.sk_c7) @t305)) % 16.10/16.30 (define @t307 () (tptp.multiply @t86 @t130)) % 16.10/16.30 (define @t308 () (tptp.multiply @t87 tptp.sk_c6)) % 16.10/16.30 (define @t309 () (= @t308 @t307)) % 16.10/16.30 (define @t310 () (tptp.multiply @t87 @t10)) % 16.10/16.30 (define @t311 () (tptp.multiply @t308 tptp.sk_c7)) % 16.10/16.30 (define @t312 () (= @t311 @t310)) % 16.10/16.30 (define @t313 () (and @t107 @t126 @t127 @t128 @t93 @t119 @t131 @t133 @t257 @t137 @t139 @t146 @t306 @t309 @t312)) % 16.10/16.30 (define @t314 () (not @t312)) % 16.10/16.30 (define @t315 () (not @t309)) % 16.10/16.30 (define @t316 () (@list true)) % 16.10/16.30 (define @t317 () (@list @t88)) % 16.10/16.30 (define @t318 () (tptp.multiply tptp.sk_c7 tptp.sk_c7)) % 16.10/16.30 (define @t319 () (and @t107 @t126 @t253 @t127 @t128 @t93 @t119 @t131 @t133 @t257 @t137 @t139 @t146 @t309 @t281 @t312)) % 16.10/16.30 (assume @p1 @t4) % 16.10/16.30 (assume @p2 @t6) % 16.10/16.30 (assume @p3 @t9) % 16.10/16.30 (assume @p4 @t14) % 16.10/16.30 (assume @p5 @t17) % 16.10/16.30 (assume @p6 @t20) % 16.10/16.30 (assume @p7 @t23) % 16.10/16.30 (assume @p8 @t26) % 16.10/16.30 (assume @p9 @t29) % 16.10/16.30 (assume @p10 @t30) % 16.10/16.30 (assume @p11 @t31) % 16.10/16.30 (assume @p12 @t32) % 16.10/16.30 (assume @p13 @t33) % 16.10/16.30 (assume @p14 @t36) % 16.10/16.30 (assume @p15 @t37) % 16.10/16.30 (assume @p16 @t38) % 16.10/16.30 (assume @p17 @t39) % 16.10/16.30 (assume @p18 @t40) % 16.10/16.30 (assume @p19 @t43) % 16.10/16.30 (assume @p20 (or @t42 @t16)) % 16.10/16.30 (assume @p21 (or @t42 @t19)) % 16.10/16.30 (assume @p22 @t44) % 16.10/16.30 (assume @p23 @t45) % 16.10/16.30 (assume @p24 (or @t47 @t11)) % 16.10/16.30 (assume @p25 @t48) % 16.10/16.30 (assume @p26 (or @t47 @t19)) % 16.10/16.30 (assume @p27 @t49) % 16.10/16.30 (assume @p28 @t50) % 16.10/16.30 (assume @p29 (or @t52 @t11)) % 16.10/16.30 (assume @p30 @t53) % 16.10/16.30 (assume @p31 (or @t52 @t19)) % 16.10/16.30 (assume @p32 @t54) % 16.10/16.30 (assume @p33 @t55) % 16.10/16.30 (assume @p34 @t80) % 16.10/16.30 (step @p35 :rule eq-symm :args (@t2 @t1)) % 16.10/16.30 (step @p36 :rule cong :premises (@p35) :args (@t4)) % 16.10/16.30 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 16.10/16.30 (step @p38 :rule instantiate :premises (@p37) :args (@t81)) % 16.10/16.30 (step @p39 :rule instantiate :premises (@p37) :args (@t82)) % 16.10/16.30 (step @p40 :rule instantiate :premises (@p37) :args (@t83)) % 16.10/16.30 (step @p41 :rule eq-symm :args (@t5 tptp.identity)) % 16.10/16.30 (step @p42 :rule cong :premises (@p41) :args (@t6)) % 16.10/16.30 (step @p43 :rule eq_resolve :premises (@p2 @p42)) % 16.10/16.30 (step @p44 :rule instantiate :premises (@p43) :args (@t83)) % 16.10/16.30 (step @p45 :rule instantiate :premises (@p43) :args (@t84)) % 16.10/16.30 (step @p46 :rule instantiate :premises (@p37) :args (@t85)) % 16.10/16.30 (step @p47 :rule instantiate :premises (@p43) :args (@t85)) % 16.10/16.30 (step @p48 :rule instantiate :premises (@p3) :args ((@list @t86 tptp.sk_c6 tptp.sk_c4))) % 16.10/16.30 (step @p49 :rule instantiate :premises (@p3) :args ((@list @t86 tptp.identity tptp.sk_c6))) % 16.10/16.30 (step @p50 :rule instantiate :premises (@p3) :args ((@list @t15 tptp.sk_c3 tptp.sk_c6))) % 16.10/16.30 (step @p51 :rule instantiate :premises (@p3) :args ((@list @t87 tptp.sk_c6 tptp.sk_c7))) % 16.10/16.30 (step @p52 :rule instantiate :premises (@p43) :args (@t82)) % 16.10/16.30 (step @p53 :rule instantiate :premises (@p37) :args ((@list tptp.sk_c2))) % 16.10/16.30 (step @p54 :rule instantiate :premises (@p3) :args ((@list @t27 tptp.sk_c7 tptp.sk_c2))) % 16.10/16.30 (step @p55 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c2 tptp.sk_c7))) % 16.10/16.30 (assume-push @p2825 @t88) % 16.10/16.30 (assume-push @p2826 @t89) % 16.10/16.30 (assume-push @p2827 @t90) % 16.10/16.30 (assume-push @p2828 @t91) % 16.10/16.30 (assume-push @p2829 @t93) % 16.10/16.30 (assume-push @p2830 @t95) % 16.10/16.30 (assume-push @p2831 @t97) % 16.10/16.30 (assume-push @p2832 @t100) % 16.10/16.30 (assume-push @p2833 @t104) % 16.10/16.30 (assume-push @p2834 @t91) % 16.10/16.30 (assume-push @p2835 @t104) % 16.10/16.30 (assume-push @p2836 @t97) % 16.10/16.30 (assume-push @p2837 @t93) % 16.10/16.30 (assume-push @p2838 @t95) % 16.10/16.30 (assume-push @p2839 @t100) % 16.10/16.30 (assume-push @p2840 @t89) % 16.10/16.30 (assume-push @p2841 @t90) % 16.10/16.30 (assume-push @p2842 @t88) % 16.10/16.30 (step @p74 :rule refl :args (tptp.sk_c7)) % 16.10/16.30 (step @p75 :rule symm :premises (@p2828)) % 16.10/16.30 (step @p76 :rule cong :premises (@p75 @p74) :args (@t103)) % 16.10/16.30 (step @p77 :rule symm :premises (@p55)) % 16.10/16.30 (step @p78 :rule symm :premises (@p2827)) % 16.10/16.30 (step @p79 :rule symm :premises (@p2826)) % 16.10/16.30 (step @p80 :rule cong :premises (@p79 @p75) :args (@t98)) % 16.10/16.30 (step @p81 :rule symm :premises (@p53)) % 16.10/16.30 (step @p82 :rule cong :premises (@p52 @p81) :args (@t105)) % 16.10/16.30 (step @p83 :rule symm :premises (@p38)) % 16.10/16.30 (step @p84 :rule cong :premises (@p83 @p53) :args (@t106)) % 16.10/16.30 (step @p85 :rule refl :args (tptp.sk_c2)) % 16.10/16.30 (step @p86 :rule cong :premises (@p38 @p85) :args (@t96)) % 16.10/16.30 (step @p87 :rule trans :premises (@p53 @p86 @p84 @p82 @p54 @p80 @p78)) % 16.10/16.30 (step @p88 :rule symm :premises (@p87)) % 16.10/16.30 (step @p89 :rule cong :premises (@p88 @p87) :args (@t41)) % 16.10/16.30 (step @p90 :rule trans :premises (@p2828 @p89)) % 16.10/16.30 (step @p91 :rule cong :premises (@p74 @p90) :args (@t12)) % 16.10/16.30 (step @p92 :rule trans :premises (@p2825 @p91 @p77 @p76)) % 16.10/16.30 (step-pop @p2843 :rule scope :premises (@p92)) % 16.10/16.30 (step-pop @p2844 :rule scope :premises (@p2843)) % 16.10/16.30 (step-pop @p2845 :rule scope :premises (@p2844)) % 16.10/16.30 (step-pop @p2846 :rule scope :premises (@p2845)) % 16.10/16.30 (step-pop @p2847 :rule scope :premises (@p2846)) % 16.10/16.30 (step-pop @p2848 :rule scope :premises (@p2847)) % 16.10/16.30 (step-pop @p2849 :rule scope :premises (@p2848)) % 16.10/16.30 (step-pop @p2850 :rule scope :premises (@p2849)) % 16.10/16.30 (step-pop @p2851 :rule scope :premises (@p2850)) % 16.10/16.30 (step @p93 :rule process_scope :premises (@p2851) :args (@t107)) % 16.10/16.30 (step @p103 :rule and_intro :premises (@p2828 @p55 @p53 @p38 @p52 @p54 @p2826 @p2827 @p2825)) % 16.10/16.30 (step @p104 :rule modus_ponens :premises (@p103 @p93)) % 16.10/16.30 (step-pop @p2852 :rule scope :premises (@p104)) % 16.10/16.30 (step-pop @p2853 :rule scope :premises (@p2852)) % 16.10/16.30 (step-pop @p2854 :rule scope :premises (@p2853)) % 16.10/16.30 (step-pop @p2855 :rule scope :premises (@p2854)) % 16.10/16.30 (step-pop @p2856 :rule scope :premises (@p2855)) % 16.10/16.30 (step-pop @p2857 :rule scope :premises (@p2856)) % 16.10/16.30 (step-pop @p2858 :rule scope :premises (@p2857)) % 16.10/16.30 (step-pop @p2859 :rule scope :premises (@p2858)) % 16.10/16.30 (step-pop @p2860 :rule scope :premises (@p2859)) % 16.10/16.30 (step @p105 :rule process_scope :premises (@p2860) :args (@t107)) % 16.10/16.30 (step @p115 :rule implies_elim :premises (@p105)) % 16.10/16.30 (step @p116 :rule cnf_and_neg :args (@t108)) % 16.10/16.30 (step @p117 :rule resolution :premises (@p116 @p115) :args (true @t108)) % 16.10/16.30 (step @p118 :rule reordering :premises (@p117) :args ((or @t107 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109))) % 16.10/16.30 (assume-push @p2861 @t89) % 16.10/16.30 (assume-push @p2862 @t90) % 16.10/16.30 (assume-push @p2863 @t91) % 16.10/16.30 (assume-push @p2864 @t93) % 16.10/16.30 (assume-push @p2865 @t119) % 16.10/16.30 (assume-push @p2866 @t95) % 16.10/16.30 (assume-push @p2867 @t97) % 16.10/16.30 (assume-push @p2868 @t100) % 16.10/16.30 (assume-push @p2869 @t119) % 16.10/16.30 (assume-push @p2870 @t90) % 16.10/16.30 (assume-push @p2871 @t89) % 16.10/16.30 (assume-push @p2872 @t91) % 16.10/16.30 (assume-push @p2873 @t100) % 16.10/16.30 (assume-push @p2874 @t95) % 16.10/16.30 (assume-push @p2875 @t97) % 16.10/16.30 (assume-push @p2876 @t93) % 16.10/16.30 (step @p135 :rule symm :premises (@p2862)) % 16.10/16.30 (step @p136 :rule symm :premises (@p2863)) % 16.10/16.30 (step @p137 :rule symm :premises (@p2861)) % 16.10/16.30 (step @p138 :rule cong :premises (@p137 @p136) :args (@t98)) % 16.10/16.30 (step @p81 :rule symm :premises (@p53)) % 16.10/16.30 (step @p82 :rule cong :premises (@p52 @p81) :args (@t105)) % 16.10/16.30 (step @p83 :rule symm :premises (@p38)) % 16.10/16.30 (step @p84 :rule cong :premises (@p83 @p53) :args (@t106)) % 16.10/16.30 (step @p85 :rule refl :args (tptp.sk_c2)) % 16.10/16.30 (step @p86 :rule cong :premises (@p38 @p85) :args (@t96)) % 16.10/16.30 (step @p139 :rule trans :premises (@p53 @p86 @p84 @p82 @p54 @p138 @p135 @p39)) % 16.10/16.30 (step @p74 :rule refl :args (tptp.sk_c7)) % 16.10/16.30 (step @p140 :rule cong :premises (@p74 @p139) :args (@t41)) % 16.10/16.30 (step @p141 :rule trans :premises (@p2863 @p140)) % 16.10/16.30 (step-pop @p2877 :rule scope :premises (@p141)) % 16.10/16.30 (step-pop @p2878 :rule scope :premises (@p2877)) % 16.10/16.30 (step-pop @p2879 :rule scope :premises (@p2878)) % 16.10/16.30 (step-pop @p2880 :rule scope :premises (@p2879)) % 16.10/16.30 (step-pop @p2881 :rule scope :premises (@p2880)) % 16.10/16.30 (step-pop @p2882 :rule scope :premises (@p2881)) % 16.10/16.30 (step-pop @p2883 :rule scope :premises (@p2882)) % 16.10/16.30 (step-pop @p2884 :rule scope :premises (@p2883)) % 16.10/16.30 (step @p142 :rule process_scope :premises (@p2884) :args (@t121)) % 16.10/16.30 (step @p151 :rule and_intro :premises (@p39 @p2862 @p2861 @p2863 @p54 @p52 @p53 @p38)) % 16.10/16.30 (step @p152 :rule modus_ponens :premises (@p151 @p142)) % 16.10/16.30 (step-pop @p2885 :rule scope :premises (@p152)) % 16.10/16.30 (step-pop @p2886 :rule scope :premises (@p2885)) % 16.10/16.30 (step-pop @p2887 :rule scope :premises (@p2886)) % 16.10/16.30 (step-pop @p2888 :rule scope :premises (@p2887)) % 16.10/16.30 (step-pop @p2889 :rule scope :premises (@p2888)) % 16.10/16.30 (step-pop @p2890 :rule scope :premises (@p2889)) % 16.10/16.30 (step-pop @p2891 :rule scope :premises (@p2890)) % 16.10/16.30 (step-pop @p2892 :rule scope :premises (@p2891)) % 16.10/16.30 (step @p153 :rule process_scope :premises (@p2892) :args (@t121)) % 16.10/16.30 (step @p162 :rule implies_elim :premises (@p153)) % 16.10/16.30 (step @p163 :rule cnf_and_neg :args (@t122)) % 16.10/16.30 (step @p164 :rule resolution :premises (@p163 @p162) :args (true @t122)) % 16.10/16.30 (assume-push @p2893 @t9) % 16.10/16.30 (step-pop @p2894 :rule scope :premises (@p55)) % 16.10/16.30 (step @p166 :rule process_scope :premises (@p2894) :args (@t104)) % 16.10/16.30 (step @p168 :rule implies_elim :premises (@p166)) % 16.10/16.30 (assume-push @p2895 @t9) % 16.10/16.30 (step-pop @p2896 :rule scope :premises (@p54)) % 16.10/16.30 (step @p170 :rule process_scope :premises (@p2896) :args (@t100)) % 16.10/16.30 (step @p172 :rule implies_elim :premises (@p170)) % 16.10/16.30 (assume-push @p2897 @t123) % 16.10/16.30 (step-pop @p2898 :rule scope :premises (@p53)) % 16.10/16.30 (step @p174 :rule process_scope :premises (@p2898) :args (@t97)) % 16.10/16.30 (step @p176 :rule implies_elim :premises (@p174)) % 16.10/16.30 (assume-push @p2899 @t124) % 16.10/16.30 (step-pop @p2900 :rule scope :premises (@p52)) % 16.10/16.30 (step @p178 :rule process_scope :premises (@p2900) :args (@t95)) % 16.10/16.30 (step @p180 :rule implies_elim :premises (@p178)) % 16.10/16.30 (assume-push @p2901 @t123) % 16.10/16.30 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16.10/16.30 (assume-push @p2938 @t133) % 16.10/16.30 (assume-push @p2939 @t146) % 16.10/16.30 (assume-push @p2940 @t139) % 16.10/16.30 (assume-push @p2941 @t149) % 16.10/16.30 (assume-push @p2942 @t153) % 16.10/16.30 (assume-push @p2943 @t128) % 16.10/16.30 (assume-push @p2944 @t88) % 16.10/16.30 (step @p244 :rule symm :premises (@p2907)) % 16.10/16.30 (step @p245 :rule refl :args (@t129)) % 16.10/16.30 (step @p246 :rule cong :premises (@p245 @p244) :args (@t140)) % 16.10/16.30 (step @p247 :rule symm :premises (@p40)) % 16.10/16.30 (step @p248 :rule cong :premises (@p198 @p247) :args (@t154)) % 16.10/16.30 (step @p83 :rule symm :premises (@p38)) % 16.10/16.30 (step @p249 :rule cong :premises (@p83 @p40) :args (@t155)) % 16.10/16.30 (step @p250 :rule refl :args (tptp.sk_c6)) % 16.10/16.30 (step @p251 :rule cong :premises (@p38 @p250) :args (@t130)) % 16.10/16.30 (step @p252 :rule trans :premises (@p40 @p251 @p249 @p248 @p199 @p246)) % 16.10/16.30 (step @p74 :rule refl :args 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nary_cong :premises (@p1502 @p194) :args (@t50)) % 16.10/16.31 (step @p1510 :rule eq_resolve :premises (@p28 @p1509)) % 16.10/16.31 (step @p1511 :rule reordering :premises (@p1510) :args ((or @t128 @t228))) % 16.10/16.31 (step @p1512 :rule cnf_or_pos :args (@t249)) % 16.10/16.31 (step @p1513 :rule reordering :premises (@p1512) :args ((or @t198 @t248 (not @t249)))) % 16.10/16.31 (assume-push @p3677 @t208) % 16.10/16.31 (step @p1515 :rule instantiate :premises (@p3677) :args (@t81)) % 16.10/16.31 (step-pop @p3678 :rule scope :premises (@p1515)) % 16.10/16.31 (step @p1516 :rule process_scope :premises (@p3678) :args (@t249)) % 16.10/16.31 (step @p1518 :rule implies_elim :premises (@p1516)) % 16.10/16.31 (step @p1519 :rule chain_m_resolution :premises (@p1182 @p1113 @p1518 @p1123 @p1104 @p1513 @p1108 @p469 @p201 @p200 @p48 @p199 @p55 @p54 @p53 @p47 @p46 @p198 @p44 @p40 @p52 @p39 @p38 @p602 @p201 @p200 @p48 @p199 @p55 @p54 @p53 @p47 @p46 @p198 @p44 @p40 @p52 @p39 @p38 @p940 @p201 @p200 @p48 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(step @p2143 :rule process_scope :premises (@p4116) :args (@t188)) % 16.10/16.31 (step @p2162 :rule implies_elim :premises (@p2143)) % 16.10/16.31 (step @p2163 :rule cnf_and_neg :args (@t252)) % 16.10/16.31 (step @p2164 :rule resolution :premises (@p2163 @p2162) :args (true @t252)) % 16.10/16.31 (step @p2165 :rule reordering :premises (@p2164) :args ((or @t117 @t116 @t115 @t224 @t173 @t172 @t113 @t112 @t170 @t169 @t168 @t167 @t166 @t188 @t190 @t165 @t164 @t163 @t162))) % 16.10/16.31 (step @p2166 :rule chain_m_resolution :premises (@p1182 @p1123 @p1118 @p1113 @p1108 @p1106 @p1104 @p2165 @p201 @p200 @p48 @p199 @p950 @p47 @p46 @p198 @p44 @p40 @p52 @p38 @p2051 @p201 @p200 @p48 @p199 @p47 @p46 @p198 @p44 @p40 @p52 @p38 @p1915 @p201 @p200 @p48 @p199 @p47 @p46 @p198 @p44 @p40 @p52 @p38 @p1818 @p201 @p200 @p48 @p199 @p47 @p46 @p198 @p44 @p40 @p52 @p38 @p1715 @p201 @p200 @p48 @p199 @p47 @p46 @p198 @p44 @p40 @p52 @p38 @p1625 @p201 @p200 @p48 @p199 @p47 @p46 @p198 @p44 @p40 @p52 @p38 @p1529 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@t133 @t131 @t95 @t93 @t128 @t127 @t107 @t91))) % 16.10/16.31 (step @p2167 :rule nary_cong :premises (@p1172 @p1164) :args (@t36)) % 16.10/16.31 (step @p2168 :rule eq_resolve :premises (@p14 @p2167)) % 16.10/16.31 (step @p2169 :rule reordering :premises (@p2168) :args ((or @t107 @t90))) % 16.10/16.31 (step @p2170 :rule nary_cong :premises (@p1172 @p185) :args (@t37)) % 16.10/16.31 (step @p2171 :rule eq_resolve :premises (@p15 @p2170)) % 16.10/16.31 (step @p2172 :rule reordering :premises (@p2171) :args ((or @t126 @t90))) % 16.10/16.31 (step @p2173 :rule eq-symm :args (@t18 tptp.sk_c7)) % 16.10/16.31 (step @p2174 :rule nary_cong :premises (@p1172 @p2173) :args (@t38)) % 16.10/16.31 (step @p2175 :rule eq_resolve :premises (@p16 @p2174)) % 16.10/16.31 (step @p2176 :rule reordering :premises (@p2175) :args ((or @t253 @t90))) % 16.10/16.31 (step @p2177 :rule nary_cong :premises (@p1172 @p190) :args (@t39)) % 16.10/16.31 (step @p2178 :rule eq_resolve :premises (@p17 @p2177)) % 16.10/16.31 (step @p2179 :rule reordering :premises (@p2178) :args ((or @t127 @t90))) % 16.10/16.31 (step @p2180 :rule nary_cong :premises (@p1172 @p194) :args (@t40)) % 16.10/16.31 (step @p2181 :rule eq_resolve :premises (@p18 @p2180)) % 16.10/16.31 (step @p2182 :rule reordering :premises (@p2181) :args ((or @t128 @t90))) % 16.10/16.31 (step @p2183 :rule instantiate :premises (@p37) :args (@t84)) % 16.10/16.31 (step @p2184 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c5 tptp.sk_c7))) % 16.10/16.31 (step @p2185 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.sk_c7 tptp.sk_c6))) % 16.10/16.31 (step @p2186 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c7 tptp.sk_c6 tptp.sk_c5))) % 16.10/16.31 (step @p2187 :rule instantiate :premises (@p3) :args ((@list @t27 tptp.sk_c7 tptp.sk_c3))) % 16.10/16.31 (assume-push @p4117 @t88) % 16.10/16.31 (assume-push @p4118 @t107) % 16.10/16.31 (assume-push @p4119 @t126) % 16.10/16.31 (assume-push @p4120 @t253) % 16.10/16.31 (assume-push @p4121 @t127) % 16.10/16.31 (assume-push @p4122 @t128) % 16.10/16.31 (assume-push @p4123 @t89) % 16.10/16.31 (assume-push @p4124 @t93) % 16.10/16.31 (assume-push @p4125 @t119) % 16.10/16.31 (assume-push @p4126 @t95) % 16.10/16.31 (assume-push @p4127 @t133) % 16.10/16.31 (assume-push @p4128 @t255) % 16.10/16.31 (assume-push @p4129 @t257) % 16.10/16.31 (assume-push @p4130 @t137) % 16.10/16.31 (assume-push @p4131 @t139) % 16.10/16.31 (assume-push @p4132 @t187) % 16.10/16.31 (assume-push @p4133 @t259) % 16.10/16.31 (assume-push @p4134 @t146) % 16.10/16.31 (assume-push @p4135 @t149) % 16.10/16.31 (assume-push @p4136 @t153) % 16.10/16.31 (assume-push @p4137 @t261) % 16.10/16.31 (assume-push @p4138 @t264) % 16.10/16.31 (assume-push @p4139 @t267) % 16.10/16.31 (assume-push @p4140 @t107) % 16.10/16.31 (assume-push @p4141 @t261) % 16.10/16.31 (assume-push @p4142 @t88) % 16.10/16.31 (assume-push @p4143 @t128) % 16.10/16.31 (assume-push @p4144 @t153) % 16.10/16.31 (assume-push @p4145 @t137) % 16.10/16.31 (assume-push @p4146 @t93) % 16.10/16.31 (assume-push @p4147 @t133) % 16.10/16.31 (assume-push @p4148 @t146) % 16.10/16.31 (assume-push @p4149 @t127) % 16.10/16.31 (assume-push @p4150 @t139) % 16.10/16.31 (assume-push @p4151 @t89) % 16.10/16.31 (assume-push @p4152 @t95) % 16.10/16.31 (assume-push @p4153 @t149) % 16.10/16.31 (assume-push @p4154 @t126) % 16.10/16.31 (assume-push @p4155 @t257) % 16.10/16.31 (assume-push @p4156 @t267) % 16.10/16.31 (assume-push @p4157 @t255) % 16.10/16.31 (assume-push @p4158 @t119) % 16.10/16.31 (assume-push @p4159 @t187) % 16.10/16.31 (assume-push @p4160 @t259) % 16.10/16.31 (assume-push @p4161 @t264) % 16.10/16.31 (assume-push @p4162 @t253) % 16.10/16.31 (step @p250 :rule refl :args (tptp.sk_c6)) % 16.10/16.31 (step @p2234 :rule symm :premises (@p4118)) % 16.10/16.31 (step @p2235 :rule cong :premises (@p2234 @p250) :args (@t260)) % 16.10/16.31 (step @p2236 :rule symm :premises (@p2185)) % 16.10/16.31 (step @p74 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(step @p2286 :rule refl :args (tptp.sk_c5)) % 16.10/16.31 (step @p2287 :rule cong :premises (@p4117 @p2286) :args ((tptp.multiply tptp.sk_c5 tptp.sk_c5))) % 16.10/16.31 (step @p2288 :rule trans :premises (@p2255 @p2253)) % 16.10/16.31 (step @p2289 :rule cong :premises (@p2288 @p2286) :args (@t24)) % 16.10/16.31 (step @p2290 :rule trans :premises (@p4122 @p2289 @p2287 @p2186 @p2285 @p2279 @p2278 @p2277 @p1286 @p1285 @p261)) % 16.10/16.31 (step @p2291 :rule cong :premises (@p2258 @p2290) :args (@t18)) % 16.10/16.31 (step @p2292 :rule trans :premises (@p4120 @p2291 @p2271 @p257 @p47 @p2243 @p2250 @p2236 @p2235)) % 16.10/16.31 (step-pop @p4163 :rule scope :premises (@p2292)) % 16.10/16.31 (step-pop @p4164 :rule scope :premises (@p4163)) % 16.10/16.31 (step-pop @p4165 :rule scope :premises (@p4164)) % 16.10/16.31 (step-pop @p4166 :rule scope :premises (@p4165)) % 16.10/16.31 (step-pop @p4167 :rule scope :premises (@p4166)) % 16.10/16.31 (step-pop @p4168 :rule scope :premises (@p4167)) % 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(@p4183)) % 16.10/16.31 (step-pop @p4185 :rule scope :premises (@p4184)) % 16.10/16.31 (step @p2293 :rule process_scope :premises (@p4185) :args (@t90)) % 16.10/16.31 (step @p2317 :rule and_intro :premises (@p4118 @p2185 @p4117 @p4122 @p201 @p46 @p38 @p44 @p48 @p4121 @p47 @p4123 @p52 @p200 @p4119 @p45 @p2187 @p2183 @p39 @p950 @p2184 @p2186 @p4120)) % 16.10/16.31 (step @p2318 :rule modus_ponens :premises (@p2317 @p2293)) % 16.10/16.31 (step-pop @p4186 :rule scope :premises (@p2318)) % 16.10/16.31 (step-pop @p4187 :rule scope :premises (@p4186)) % 16.10/16.31 (step-pop @p4188 :rule scope :premises (@p4187)) % 16.10/16.31 (step-pop @p4189 :rule scope :premises (@p4188)) % 16.10/16.31 (step-pop @p4190 :rule scope :premises (@p4189)) % 16.10/16.31 (step-pop @p4191 :rule scope :premises (@p4190)) % 16.10/16.31 (step-pop @p4192 :rule scope :premises (@p4191)) % 16.10/16.31 (step-pop @p4193 :rule scope :premises (@p4192)) % 16.10/16.31 (step-pop @p4194 :rule scope :premises (@p4193)) % 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implies_elim :premises (@p2319)) % 16.10/16.31 (step @p2344 :rule cnf_and_neg :args (@t269)) % 16.10/16.31 (step @p2345 :rule resolution :premises (@p2344 @p2343) :args (true @t269)) % 16.10/16.31 (step @p2346 :rule reordering :premises (@p2345) :args ((or @t90 @t117 @t116 @t224 @t182 @t271 @t173 @t172 @t113 @t171 @t112 @t169 (not @t255) @t270 @t167 @t166 @t190 (not @t259) @t164 @t163 @t162 (not @t261) (not @t264) (not @t267)))) % 16.10/16.31 (step @p2347 :rule chain_m_resolution :premises (@p2346 @p2187 @p2186 @p2185 @p201 @p200 @p48 @p2184 @p950 @p47 @p46 @p45 @p2183 @p44 @p52 @p39 @p38 @p2182 @p2179 @p2176 @p2172 @p2169 @p2166) :args ((or @t117 @t116) (@list false false false false false false false false false false false false false false false false false false false false false true) (@list @t267 @t264 @t261 @t153 @t149 @t146 @t259 @t187 @t139 @t137 @t257 @t255 @t133 @t95 @t119 @t93 @t128 @t127 @t253 @t126 @t107 @t90))) % 16.10/16.31 (step @p2348 :rule nary_cong :premises 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@t131) % 16.10/16.31 (assume-push @p4399 @t133) % 16.10/16.31 (assume-push @p4400 @t257) % 16.10/16.31 (assume-push @p4401 @t137) % 16.10/16.31 (assume-push @p4402 @t139) % 16.10/16.31 (assume-push @p4403 @t146) % 16.10/16.31 (assume-push @p4404 @t309) % 16.10/16.31 (assume-push @p4405 @t281) % 16.10/16.31 (assume-push @p4406 @t312) % 16.10/16.31 (assume-push @p4407 @t131) % 16.10/16.31 (assume-push @p4408 @t93) % 16.10/16.31 (assume-push @p4409 @t257) % 16.10/16.31 (assume-push @p4410 @t281) % 16.10/16.31 (assume-push @p4411 @t126) % 16.10/16.31 (assume-push @p4412 @t253) % 16.10/16.31 (assume-push @p4413 @t119) % 16.10/16.31 (assume-push @p4414 @t128) % 16.10/16.31 (assume-push @p4415 @t137) % 16.10/16.31 (assume-push @p4416 @t133) % 16.10/16.31 (assume-push @p4417 @t146) % 16.10/16.31 (assume-push @p4418 @t127) % 16.10/16.31 (assume-push @p4419 @t139) % 16.10/16.31 (assume-push @p4420 @t107) % 16.10/16.31 (assume-push @p4421 @t312) % 16.10/16.31 (assume-push @p4422 @t309) % 16.10/16.31 (step @p247 :rule symm :premises (@p40)) % 16.10/16.31 (step @p250 :rule refl :args (tptp.sk_c6)) % 16.10/16.31 (step @p83 :rule symm :premises (@p38)) % 16.10/16.31 (step @p673 :rule cong :premises (@p83 @p250) :args (@t155)) % 16.10/16.31 (step @p674 :rule cong :premises (@p38 @p247) :args (@t154)) % 16.10/16.31 (step @p2257 :rule symm :premises (@p45)) % 16.10/16.31 (step @p2465 :rule cong :premises (@p2257 @p40) :args (@t280)) % 16.10/16.31 (step @p2466 :rule symm :premises (@p50)) % 16.10/16.31 (step @p261 :rule symm :premises (@p39)) % 16.10/16.31 (step @p2758 :rule trans :premises (@p261 @p4393)) % 16.10/16.31 (step @p2759 :rule cong :premises (@p4392 @p2758) :args (@t120)) % 16.10/16.31 (step @p74 :rule refl :args (tptp.sk_c7)) % 16.10/16.31 (step @p2760 :rule cong :premises (@p74 @p39) :args (@t318)) % 16.10/16.31 (step @p2761 :rule trans :premises (@p2760 @p2759 @p2466 @p2465 @p674 @p673 @p247)) % 16.10/16.31 (step @p2762 :rule cong :premises (@p74 @p2761) :args ((tptp.multiply tptp.sk_c7 @t318))) % 16.10/16.31 (step @p2763 :rule symm :premises (@p2760)) % 16.10/16.31 (step @p2764 :rule symm :premises (@p2759)) % 16.10/16.31 (step @p2474 :rule symm :premises (@p2465)) % 16.10/16.31 (step @p249 :rule cong :premises (@p83 @p40) :args (@t155)) % 16.10/16.31 (step @p251 :rule cong :premises (@p38 @p250) :args (@t130)) % 16.10/16.31 (step @p2765 :rule symm :premises (@p4395)) % 16.10/16.31 (step @p2766 :rule symm :premises (@p4391)) % 16.10/16.31 (step @p271 :rule symm :premises (@p46)) % 16.10/16.31 (step @p272 :rule refl :args (tptp.sk_c4)) % 16.10/16.31 (step @p273 :rule cong :premises (@p83 @p272) :args (@t156)) % 16.10/16.31 (step @p274 :rule cong :premises (@p38 @p271) :args (@t157)) % 16.10/16.31 (step @p275 :rule symm :premises (@p44)) % 16.10/16.31 (step @p276 :rule cong :premises (@p275 @p46) :args (@t145)) % 16.10/16.31 (step @p277 :rule symm :premises (@p48)) % 16.10/16.31 (step @p2767 :rule symm :premises (@p4394)) % 16.10/16.31 (step @p2768 :rule cong :premises (@p2767 @p272) :args (@t138)) % 16.10/16.31 (step @p2769 :rule trans :premises (@p47 @p2768)) % 16.10/16.31 (step @p280 :rule refl :args (@t86)) % 16.10/16.31 (step @p2770 :rule cong :premises (@p280 @p2769) :args (@t87)) % 16.10/16.31 (step @p2771 :rule trans :premises (@p2770 @p277 @p276 @p274 @p273 @p271)) % 16.10/16.31 (step @p2772 :rule cong :premises (@p2771 @p2766) :args (@t310)) % 16.10/16.31 (step @p2773 :rule symm :premises (@p49)) % 16.10/16.31 (step @p2774 :rule cong :premises (@p280 @p40) :args (@t132)) % 16.10/16.31 (step @p2775 :rule trans :premises (@p44 @p2774 @p2773)) % 16.10/16.31 (step @p2776 :rule cong :premises (@p2775 @p261) :args (@t242)) % 16.10/16.31 (step @p1232 :rule cong :premises (@p83 @p39) :args (@t243)) % 16.10/16.31 (step @p1233 :rule cong :premises (@p38 @p74) :args (@t118)) % 16.10/16.31 (step @p2777 :rule trans :premises (@p1233 @p1232 @p2776 @p51 @p2772 @p2765 @p40 @p251 @p249 @p2474 @p50 @p2764 @p2763)) % 16.10/16.31 (step @p2778 :rule cong :premises (@p74 @p2777) :args (@t120)) % 16.10/16.31 (step @p1285 :rule cong :premises (@p83 @p74) :args (@t243)) % 16.10/16.31 (step @p1286 :rule cong :premises (@p38 @p261) :args (@t242)) % 16.10/16.31 (step @p2662 :rule cong :premises (@p280 @p247) :args (@t307)) % 16.10/16.31 (step @p2663 :rule trans :premises (@p49 @p2662 @p275)) % 16.10/16.31 (step @p2664 :rule cong :premises (@p2663 @p39) :args (@t311)) % 16.10/16.31 (step @p2665 :rule symm :premises (@p51)) % 16.10/16.31 (step @p2779 :rule symm :premises (@p2772)) % 16.10/16.31 (step @p2780 :rule trans :premises (@p2767 @p4395 @p2779 @p2665 @p2664 @p1286 @p1285 @p261)) % 16.10/16.31 (step @p2781 :rule trans :premises (@p4394 @p2780)) % 16.10/16.31 (step @p2782 :rule cong :premises (@p2781 @p39) :args (@t10)) % 16.10/16.31 (step @p2783 :rule trans :premises (@p4391 @p2782 @p2778 @p2762)) % 16.10/16.31 (step-pop @p4423 :rule scope :premises (@p2783)) % 16.10/16.31 (step-pop @p4424 :rule scope :premises (@p4423)) % 16.10/16.31 (step-pop @p4425 :rule scope :premises (@p4424)) % 16.10/16.31 (step-pop @p4426 :rule scope :premises (@p4425)) % 16.10/16.31 (step-pop @p4427 :rule scope :premises (@p4426)) % 16.10/16.31 (step-pop @p4428 :rule scope :premises (@p4427)) % 16.10/16.31 (step-pop @p4429 :rule scope :premises (@p4428)) % 16.10/16.31 (step-pop @p4430 :rule scope :premises (@p4429)) % 16.10/16.31 (step-pop @p4431 :rule scope :premises (@p4430)) % 16.10/16.31 (step-pop @p4432 :rule scope :premises (@p4431)) % 16.10/16.31 (step-pop @p4433 :rule scope :premises (@p4432)) % 16.10/16.31 (step-pop @p4434 :rule scope :premises (@p4433)) % 16.10/16.31 (step-pop @p4435 :rule scope :premises (@p4434)) % 16.10/16.31 (step-pop @p4436 :rule scope :premises (@p4435)) % 16.10/16.31 (step-pop @p4437 :rule scope :premises (@p4436)) % 16.10/16.31 (step-pop @p4438 :rule scope :premises (@p4437)) % 16.10/16.31 (step @p2784 :rule process_scope :premises (@p4438) :args (@t88)) % 16.10/16.32 (step @p2801 :rule and_intro :premises (@p40 @p38 @p45 @p50 @p4392 @p4393 @p39 @p4395 @p46 @p44 @p48 @p4394 @p47 @p4391 @p51 @p49)) % 16.10/16.32 (step @p2802 :rule modus_ponens :premises (@p2801 @p2784)) % 16.10/16.32 (step-pop @p4439 :rule scope :premises (@p2802)) % 16.10/16.32 (step-pop @p4440 :rule scope :premises (@p4439)) % 16.10/16.32 (step-pop @p4441 :rule scope :premises (@p4440)) % 16.10/16.32 (step-pop @p4442 :rule scope :premises (@p4441)) % 16.10/16.32 (step-pop @p4443 :rule scope :premises (@p4442)) % 16.10/16.32 (step-pop @p4444 :rule scope :premises (@p4443)) % 16.10/16.32 (step-pop @p4445 :rule scope :premises (@p4444)) % 16.10/16.32 (step-pop @p4446 :rule scope :premises (@p4445)) % 16.10/16.32 (step-pop @p4447 :rule scope :premises (@p4446)) % 16.10/16.32 (step-pop @p4448 :rule scope :premises (@p4447)) % 16.10/16.32 (step-pop @p4449 :rule scope :premises (@p4448)) % 16.10/16.32 (step-pop @p4450 :rule scope :premises (@p4449)) % 16.10/16.32 (step-pop @p4451 :rule scope :premises (@p4450)) % 16.10/16.32 (step-pop @p4452 :rule scope :premises (@p4451)) % 16.10/16.32 (step-pop @p4453 :rule scope :premises (@p4452)) % 16.10/16.32 (step-pop @p4454 :rule scope :premises (@p4453)) % 16.10/16.32 (step @p2803 :rule process_scope :premises (@p4454) :args (@t88)) % 16.10/16.32 (step @p2820 :rule implies_elim :premises (@p2803)) % 16.10/16.32 (step @p2821 :rule cnf_and_neg :args (@t319)) % 16.10/16.32 (step @p2822 :rule resolution :premises (@p2821 @p2820) :args (true @t319)) % 16.10/16.32 (step @p2823 :rule reordering :premises (@p2822) :args ((or @t88 @t224 @t182 @t271 @t173 @t172 @t113 @t171 @t170 @t169 @t270 @t167 @t166 @t164 @t315 @t282 @t314))) % 16.10/16.32 (step @p2824 false :rule chain_m_resolution :premises (@p2823 @p2725 @p2722 @p2719 @p2716 @p2713 @p2710 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p40 @p39 @p38) :args (false (@list false false false false false true false false false false false false false false false false false) (@list @t128 @t127 @t253 @t126 @t107 @t88 @t312 @t281 @t309 @t146 @t139 @t137 @t257 @t133 @t131 @t119 @t93))) % 16.10/16.32 ) % 16.10/16.32 % SZS output end Proof % 16.10/16.32 % cvc5 exiting %------------------------------------------------------------------------------