%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP264-1 : 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 : n004.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 16.09s 16.40s % Output : Proof 16.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP264-1 : 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 % 0.16/0.34 % Computer : n004.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 01:00:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/16.25 --- Run --no-e-matching --full-saturate-quant at 6... % 16.09/16.40 % SZS status Unsatisfiable % 16.09/16.40 % SZS output start Proof % 16.09/16.41 ( % 16.09/16.41 (declare-sort $$unsorted 0) % 16.09/16.41 (declare-const tptp.sk_c5 $$unsorted) % 16.09/16.41 (declare-const tptp.sk_c6 $$unsorted) % 16.09/16.41 (declare-const tptp.sk_c7 $$unsorted) % 16.09/16.41 (declare-const tptp.sk_c1 $$unsorted) % 16.09/16.41 (declare-const tptp.sk_c3 $$unsorted) % 16.09/16.41 (declare-const tptp.sk_c2 $$unsorted) % 16.09/16.41 (declare-const tptp.sk_c9 $$unsorted) % 16.09/16.41 (declare-const tptp.sk_c8 $$unsorted) % 16.09/16.41 (declare-const tptp.sk_c4 $$unsorted) % 16.09/16.41 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.09/16.41 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 16.09/16.41 (declare-const tptp.identity $$unsorted) % 16.09/16.41 (define @t1 () (@var "X" $$unsorted)) % 16.09/16.41 (define @t2 () (tptp.multiply tptp.identity @t1)) % 16.09/16.41 (define @t3 () (@list @t1)) % 16.09/16.41 (define @t4 () (forall @t3 (= @t2 @t1))) % 16.09/16.41 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 16.09/16.41 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 16.09/16.41 (define @t7 () (@var "Z" $$unsorted)) % 16.09/16.41 (define @t8 () (@var "Y" $$unsorted)) % 16.09/16.41 (define @t9 () (tptp.multiply tptp.sk_c3 tptp.sk_c9)) % 16.09/16.41 (define @t10 () (= @t9 tptp.sk_c8)) % 16.09/16.41 (define @t11 () (tptp.multiply tptp.sk_c1 tptp.sk_c9)) % 16.09/16.41 (define @t12 () (= @t11 tptp.sk_c8)) % 16.09/16.41 (define @t13 () (or @t12 @t10)) % 16.09/16.41 (define @t14 () (tptp.inverse tptp.sk_c3)) % 16.09/16.41 (define @t15 () (= @t14 tptp.sk_c9)) % 16.09/16.41 (define @t16 () (or @t12 @t15)) % 16.09/16.41 (define @t17 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 16.09/16.41 (define @t18 () (= @t17 tptp.sk_c8)) % 16.09/16.41 (define @t19 () (or @t12 @t18)) % 16.09/16.41 (define @t20 () (tptp.inverse tptp.sk_c4)) % 16.09/16.41 (define @t21 () (= @t20 tptp.sk_c7)) % 16.09/16.41 (define @t22 () (or @t12 @t21)) % 16.09/16.41 (define @t23 () (tptp.multiply tptp.sk_c8 tptp.sk_c6)) % 16.09/16.41 (define @t24 () (= @t23 tptp.sk_c7)) % 16.09/16.41 (define @t25 () (or @t12 @t24)) % 16.09/16.41 (define @t26 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 16.09/16.41 (define @t27 () (= @t26 tptp.sk_c6)) % 16.09/16.41 (define @t28 () (or @t12 @t27)) % 16.09/16.41 (define @t29 () (tptp.inverse tptp.sk_c5)) % 16.09/16.41 (define @t30 () (= @t29 tptp.sk_c8)) % 16.09/16.41 (define @t31 () (or @t12 @t30)) % 16.09/16.41 (define @t32 () (tptp.inverse tptp.sk_c1)) % 16.09/16.41 (define @t33 () (= @t32 tptp.sk_c9)) % 16.09/16.41 (define @t34 () (or @t33 @t10)) % 16.09/16.41 (define @t35 () (or @t33 @t15)) % 16.09/16.41 (define @t36 () (or @t33 @t18)) % 16.09/16.41 (define @t37 () (or @t33 @t21)) % 16.09/16.41 (define @t38 () (or @t33 @t24)) % 16.09/16.41 (define @t39 () (or @t33 @t27)) % 16.09/16.41 (define @t40 () (or @t33 @t30)) % 16.09/16.41 (define @t41 () (tptp.multiply tptp.sk_c2 tptp.sk_c8)) % 16.09/16.41 (define @t42 () (= @t41 tptp.sk_c7)) % 16.09/16.41 (define @t43 () (or @t42 @t18)) % 16.09/16.41 (define @t44 () (or @t42 @t21)) % 16.09/16.41 (define @t45 () (or @t42 @t24)) % 16.09/16.41 (define @t46 () (or @t42 @t27)) % 16.09/16.41 (define @t47 () (or @t42 @t30)) % 16.09/16.41 (define @t48 () (tptp.inverse tptp.sk_c2)) % 16.09/16.41 (define @t49 () (= @t48 tptp.sk_c8)) % 16.09/16.41 (define @t50 () (or @t49 @t18)) % 16.09/16.41 (define @t51 () (or @t49 @t21)) % 16.09/16.41 (define @t52 () (or @t49 @t24)) % 16.09/16.41 (define @t53 () (or @t49 @t27)) % 16.09/16.41 (define @t54 () (or @t49 @t30)) % 16.09/16.41 (define @t55 () (@var "X6" $$unsorted)) % 16.09/16.41 (define @t56 () (tptp.inverse @t55)) % 16.09/16.41 (define @t57 () (not (= @t56 tptp.sk_c8))) % 16.09/16.41 (define @t58 () (@var "X5" $$unsorted)) % 16.09/16.41 (define @t59 () (tptp.multiply @t55 tptp.sk_c8)) % 16.09/16.41 (define @t60 () (not (= @t59 @t58))) % 16.09/16.41 (define @t61 () (tptp.multiply tptp.sk_c8 @t58)) % 16.09/16.41 (define @t62 () (not (= @t61 tptp.sk_c7))) % 16.09/16.41 (define @t63 () (@var "X2" $$unsorted)) % 16.09/16.41 (define @t64 () (tptp.inverse @t63)) % 16.09/16.41 (define @t65 () (not (= @t64 tptp.sk_c7))) % 16.09/16.41 (define @t66 () (tptp.multiply @t63 tptp.sk_c7)) % 16.09/16.41 (define @t67 () (not (= @t66 tptp.sk_c8))) % 16.09/16.41 (define @t68 () (@var "X1" $$unsorted)) % 16.09/16.41 (define @t69 () (tptp.inverse @t68)) % 16.09/16.41 (define @t70 () (not (= @t69 tptp.sk_c9))) % 16.09/16.41 (define @t71 () (tptp.multiply @t68 tptp.sk_c9)) % 16.09/16.41 (define @t72 () (not (= @t71 tptp.sk_c8))) % 16.09/16.41 (define @t73 () (@var "X4" $$unsorted)) % 16.09/16.41 (define @t74 () (tptp.inverse @t73)) % 16.09/16.41 (define @t75 () (not (= @t74 tptp.sk_c8))) % 16.09/16.41 (define @t76 () (tptp.multiply @t73 tptp.sk_c8)) % 16.09/16.41 (define @t77 () (not (= @t76 tptp.sk_c7))) % 16.09/16.41 (define @t78 () (@var "X3" $$unsorted)) % 16.09/16.41 (define @t79 () (tptp.inverse @t78)) % 16.09/16.41 (define @t80 () (not (= @t79 tptp.sk_c9))) % 16.09/16.41 (define @t81 () (tptp.multiply @t78 tptp.sk_c9)) % 16.09/16.41 (define @t82 () (not (= @t81 tptp.sk_c8))) % 16.09/16.41 (define @t83 () (or @t82 @t80 @t77 @t75 @t72 @t70 @t67 @t65 @t62 @t60 @t57)) % 16.09/16.41 (define @t84 () (@list @t78 @t73 @t68 @t63 @t58 @t55)) % 16.09/16.41 (define @t85 () (forall @t84 @t83)) % 16.09/16.41 (define @t86 () (= tptp.sk_c9 @t32)) % 16.09/16.41 (define @t87 () (= tptp.sk_c8 @t9)) % 16.09/16.41 (define @t88 () (= tptp.sk_c9 @t14)) % 16.09/16.41 (define @t89 () (= tptp.sk_c8 @t17)) % 16.09/16.41 (define @t90 () (= tptp.sk_c7 @t20)) % 16.09/16.41 (define @t91 () (= tptp.sk_c7 @t23)) % 16.09/16.41 (define @t92 () (= tptp.sk_c6 @t26)) % 16.09/16.41 (define @t93 () (= tptp.sk_c8 @t29)) % 16.09/16.41 (define @t94 () (not @t90)) % 16.09/16.41 (define @t95 () (not @t89)) % 16.09/16.41 (define @t96 () (or @t95 @t94)) % 16.09/16.41 (define @t97 () (not @t96)) % 16.09/16.41 (define @t98 () (not (= tptp.sk_c7 @t64))) % 16.09/16.41 (define @t99 () (not (= tptp.sk_c8 @t66))) % 16.09/16.41 (define @t100 () (or @t99 @t98)) % 16.09/16.41 (define @t101 () (forall (@list @t63) @t100)) % 16.09/16.41 (define @t102 () (@list tptp.sk_c4)) % 16.09/16.41 (define @t103 () (@list tptp.sk_c8)) % 16.09/16.41 (define @t104 () (@list tptp.sk_c5)) % 16.09/16.41 (define @t105 () (tptp.multiply tptp.identity tptp.identity)) % 16.09/16.41 (define @t106 () (= tptp.identity @t105)) % 16.09/16.41 (define @t107 () (tptp.multiply tptp.identity tptp.sk_c8)) % 16.09/16.41 (define @t108 () (= tptp.sk_c8 @t107)) % 16.09/16.41 (define @t109 () (tptp.multiply @t29 tptp.sk_c5)) % 16.09/16.41 (define @t110 () (= tptp.identity @t109)) % 16.09/16.41 (define @t111 () (tptp.multiply @t29 @t26)) % 16.09/16.41 (define @t112 () (tptp.multiply @t109 tptp.sk_c8)) % 16.09/16.41 (define @t113 () (= @t112 @t111)) % 16.09/16.41 (define @t114 () (= tptp.sk_c7 @t29)) % 16.09/16.41 (define @t115 () (= tptp.sk_c8 @t20)) % 16.09/16.41 (define @t116 () (tptp.multiply @t105 tptp.sk_c8)) % 16.09/16.41 (define @t117 () (tptp.multiply tptp.identity @t107)) % 16.09/16.41 (define @t118 () (and @t90 @t91 @t92 @t93 @t106 @t108 @t110 @t113)) % 16.09/16.41 (define @t119 () (tptp.multiply tptp.sk_c4 tptp.sk_c8)) % 16.09/16.41 (define @t120 () (= tptp.sk_c7 @t119)) % 16.09/16.41 (define @t121 () (and @t89 @t91 @t92 @t93 @t106 @t108 @t110 @t113)) % 16.09/16.41 (define @t122 () (not @t115)) % 16.09/16.41 (define @t123 () (not @t120)) % 16.09/16.41 (define @t124 () (or @t123 @t122)) % 16.09/16.41 (define @t125 () (not @t124)) % 16.09/16.41 (define @t126 () (not (= tptp.sk_c8 @t74))) % 16.09/16.41 (define @t127 () (not (= tptp.sk_c7 @t76))) % 16.09/16.41 (define @t128 () (or @t127 @t126)) % 16.09/16.41 (define @t129 () (forall (@list @t73) @t128)) % 16.09/16.41 (define @t130 () (not @t88)) % 16.09/16.41 (define @t131 () (not @t87)) % 16.09/16.41 (define @t132 () (or @t131 @t130)) % 16.09/16.41 (define @t133 () (not @t132)) % 16.09/16.41 (define @t134 () (not (= tptp.sk_c9 @t79))) % 16.09/16.41 (define @t135 () (not (= tptp.sk_c8 @t81))) % 16.09/16.41 (define @t136 () (or @t135 @t134)) % 16.09/16.41 (define @t137 () (forall (@list @t78) @t136)) % 16.09/16.41 (define @t138 () (not (= tptp.sk_c8 @t56))) % 16.09/16.41 (define @t139 () (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t59)))) % 16.09/16.41 (define @t140 () (or @t139 @t138)) % 16.09/16.41 (define @t141 () (not (= @t59 @t59))) % 16.09/16.41 (define @t142 () (or @t139 @t141 @t138)) % 16.09/16.41 (define @t143 () (@list @t55)) % 16.09/16.41 (define @t144 () (not (= @t58 @t59))) % 16.09/16.41 (define @t145 () (not (= tptp.sk_c7 @t61))) % 16.09/16.41 (define @t146 () (or @t144 @t145 @t144 @t138)) % 16.09/16.41 (define @t147 () (@list @t58)) % 16.09/16.41 (define @t148 () (or @t145 @t144 @t138)) % 16.09/16.41 (define @t149 () (forall @t147 @t148)) % 16.09/16.41 (define @t150 () (forall @t143 @t149)) % 16.09/16.41 (define @t151 () (forall (@list @t55 @t58) @t148)) % 16.09/16.41 (define @t152 () (forall (@list @t58 @t55) @t148)) % 16.09/16.41 (define @t153 () (not (= tptp.sk_c9 @t69))) % 16.09/16.41 (define @t154 () (not (= tptp.sk_c8 @t71))) % 16.09/16.41 (define @t155 () (or @t154 @t153)) % 16.09/16.41 (define @t156 () (forall (@list @t68) @t155)) % 16.09/16.41 (define @t157 () (or @t137 @t129 @t156 @t101 @t152)) % 16.09/16.41 (define @t158 () (or @t136 @t128 @t155 @t100 @t148)) % 16.09/16.41 (define @t159 () (or @t135 @t134 @t127 @t126 @t154 @t153 @t99 @t98 @t145 @t144 @t138)) % 16.09/16.41 (define @t160 () (forall @t143 @t140)) % 16.09/16.41 (define @t161 () (not @t93)) % 16.09/16.41 (define @t162 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t26))) % 16.09/16.41 (define @t163 () (not @t162)) % 16.09/16.41 (define @t164 () (or @t163 @t161)) % 16.09/16.41 (define @t165 () (not @t164)) % 16.09/16.41 (define @t166 () (not @t92)) % 16.09/16.41 (define @t167 () (not @t91)) % 16.09/16.41 (define @t168 () (and @t162 @t163)) % 16.09/16.41 (define @t169 () (not @t86)) % 16.09/16.41 (define @t170 () (= tptp.sk_c8 @t11)) % 16.09/16.41 (define @t171 () (not @t170)) % 16.09/16.41 (define @t172 () (or @t171 @t169)) % 16.09/16.41 (define @t173 () (@list tptp.sk_c1)) % 16.09/16.41 (define @t174 () (= tptp.sk_c8 @t48)) % 16.09/16.41 (define @t175 () (@list tptp.sk_c7)) % 16.09/16.41 (define @t176 () (@list tptp.sk_c9)) % 16.09/16.41 (define @t177 () (tptp.inverse tptp.sk_c9)) % 16.09/16.41 (define @t178 () (tptp.multiply tptp.sk_c9 tptp.sk_c1)) % 16.09/16.41 (define @t179 () (tptp.multiply tptp.identity tptp.sk_c7)) % 16.09/16.41 (define @t180 () (= tptp.sk_c7 @t179)) % 16.09/16.41 (define @t181 () (tptp.multiply tptp.identity tptp.sk_c1)) % 16.09/16.41 (define @t182 () (= tptp.sk_c1 @t181)) % 16.09/16.41 (define @t183 () (tptp.multiply @t32 tptp.sk_c1)) % 16.09/16.41 (define @t184 () (= tptp.identity @t183)) % 16.09/16.41 (define @t185 () (tptp.multiply tptp.identity tptp.sk_c9)) % 16.09/16.41 (define @t186 () (= tptp.sk_c9 @t185)) % 16.09/16.41 (define @t187 () (tptp.multiply @t177 tptp.sk_c9)) % 16.09/16.41 (define @t188 () (= tptp.identity @t187)) % 16.09/16.41 (define @t189 () (tptp.multiply tptp.identity tptp.sk_c6)) % 16.09/16.41 (define @t190 () (= tptp.sk_c6 @t189)) % 16.09/16.41 (define @t191 () (tptp.multiply @t177 @t178)) % 16.09/16.41 (define @t192 () (= (tptp.multiply @t187 tptp.sk_c1) @t191)) % 16.09/16.41 (define @t193 () (tptp.multiply @t178 tptp.sk_c9)) % 16.09/16.41 (define @t194 () (tptp.multiply @t177 @t193)) % 16.09/16.41 (define @t195 () (= (tptp.multiply @t191 tptp.sk_c9) @t194)) % 16.09/16.41 (define @t196 () (tptp.multiply @t105 tptp.sk_c9)) % 16.09/16.41 (define @t197 () (tptp.multiply tptp.identity @t185)) % 16.09/16.41 (define @t198 () (tptp.multiply tptp.identity @t181)) % 16.09/16.41 (define @t199 () (tptp.multiply @t105 tptp.sk_c1)) % 16.09/16.41 (define @t200 () (tptp.multiply @t29 tptp.sk_c7)) % 16.09/16.41 (define @t201 () (and @t170 @t90 @t91 @t92 @t93 @t86 @t106 @t180 @t182 @t184 @t186 @t188 @t108 @t190 @t110 @t192 @t113 @t195)) % 16.09/16.41 (define @t202 () (tptp.multiply tptp.identity tptp.sk_c4)) % 16.09/16.41 (define @t203 () (= tptp.sk_c4 @t202)) % 16.09/16.41 (define @t204 () (tptp.multiply @t20 tptp.sk_c4)) % 16.09/16.41 (define @t205 () (= tptp.identity @t204)) % 16.09/16.41 (define @t206 () (tptp.multiply @t105 tptp.sk_c4)) % 16.09/16.41 (define @t207 () (tptp.multiply tptp.identity @t202)) % 16.09/16.41 (define @t208 () (and @t170 @t90 @t91 @t92 @t93 @t86 @t106 @t180 @t182 @t184 @t186 @t188 @t108 @t203 @t205 @t190 @t110 @t192 @t113 @t195)) % 16.09/16.41 (define @t209 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t119))) % 16.09/16.41 (define @t210 () (not @t209)) % 16.09/16.41 (define @t211 () (or @t210 @t122)) % 16.09/16.41 (define @t212 () (@quantifiers_skolemize @t137 0)) % 16.09/16.41 (define @t213 () (tptp.inverse @t212)) % 16.09/16.41 (define @t214 () (= tptp.sk_c9 @t213)) % 16.09/16.41 (define @t215 () (not @t214)) % 16.09/16.41 (define @t216 () (tptp.multiply @t212 tptp.sk_c9)) % 16.09/16.41 (define @t217 () (= tptp.sk_c8 @t216)) % 16.09/16.41 (define @t218 () (not @t217)) % 16.09/16.41 (define @t219 () (or @t218 @t215)) % 16.09/16.41 (define @t220 () (not @t219)) % 16.09/16.41 (define @t221 () (not @t137)) % 16.09/16.41 (define @t222 () (not @t174)) % 16.09/16.41 (define @t223 () (= tptp.sk_c7 @t41)) % 16.09/16.41 (define @t224 () (not @t223)) % 16.09/16.41 (define @t225 () (or @t224 @t222)) % 16.09/16.41 (define @t226 () (@list tptp.sk_c2)) % 16.09/16.41 (define @t227 () (@list @t212)) % 16.09/16.41 (define @t228 () (tptp.inverse tptp.sk_c8)) % 16.09/16.41 (define @t229 () (tptp.multiply @t228 tptp.sk_c8)) % 16.09/16.41 (define @t230 () (= tptp.identity @t229)) % 16.09/16.41 (define @t231 () (tptp.multiply tptp.identity @t212)) % 16.09/16.41 (define @t232 () (= @t212 @t231)) % 16.09/16.41 (define @t233 () (tptp.multiply @t48 tptp.sk_c2)) % 16.09/16.41 (define @t234 () (= tptp.identity @t233)) % 16.09/16.41 (define @t235 () (tptp.multiply @t48 @t41)) % 16.09/16.41 (define @t236 () (= (tptp.multiply @t233 tptp.sk_c8) @t235)) % 16.09/16.41 (define @t237 () (tptp.multiply tptp.sk_c8 tptp.sk_c7)) % 16.09/16.41 (define @t238 () (tptp.multiply @t229 tptp.sk_c7)) % 16.09/16.41 (define @t239 () (= @t238 (tptp.multiply @t228 @t237))) % 16.09/16.41 (define @t240 () (tptp.multiply @t41 tptp.sk_c7)) % 16.09/16.41 (define @t241 () (= @t240 (tptp.multiply tptp.sk_c2 @t237))) % 16.09/16.41 (define @t242 () (tptp.multiply @t213 @t212)) % 16.09/16.41 (define @t243 () (= tptp.identity @t242)) % 16.09/16.41 (define @t244 () (tptp.multiply tptp.sk_c9 @t212)) % 16.09/16.41 (define @t245 () (tptp.multiply @t177 @t244)) % 16.09/16.41 (define @t246 () (tptp.multiply @t187 @t212)) % 16.09/16.41 (define @t247 () (= @t246 @t245)) % 16.09/16.41 (define @t248 () (tptp.multiply tptp.sk_c7 tptp.sk_c9)) % 16.09/16.41 (define @t249 () (tptp.multiply @t177 @t248)) % 16.09/16.41 (define @t250 () (tptp.multiply @t177 tptp.sk_c7)) % 16.09/16.41 (define @t251 () (tptp.multiply @t250 tptp.sk_c9)) % 16.09/16.41 (define @t252 () (= @t251 @t249)) % 16.09/16.41 (define @t253 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) % 16.09/16.41 (define @t254 () (and @t86 @t223 @t174 @t217 @t214 @t106 @t180 @t182 @t184 @t186 @t188 @t108 @t230 @t232 @t234 @t236 @t239 @t241 @t243 @t247 @t192 @t252)) % 16.09/16.41 (define @t255 () (not @t252)) % 16.09/16.41 (define @t256 () (not @t192)) % 16.09/16.41 (define @t257 () (not @t247)) % 16.09/16.41 (define @t258 () (not @t243)) % 16.09/16.41 (define @t259 () (not @t239)) % 16.09/16.41 (define @t260 () (not @t236)) % 16.09/16.41 (define @t261 () (not @t234)) % 16.09/16.41 (define @t262 () (not @t232)) % 16.09/16.41 (define @t263 () (not @t230)) % 16.09/16.41 (define @t264 () (not @t108)) % 16.09/16.41 (define @t265 () (not @t188)) % 16.09/16.41 (define @t266 () (not @t186)) % 16.09/16.41 (define @t267 () (not @t184)) % 16.09/16.41 (define @t268 () (not @t182)) % 16.09/16.41 (define @t269 () (not @t180)) % 16.09/16.41 (define @t270 () (not @t106)) % 16.09/16.41 (define @t271 () (tptp.multiply tptp.identity tptp.sk_c2)) % 16.09/16.41 (define @t272 () (= tptp.sk_c2 @t271)) % 16.09/16.41 (define @t273 () (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) % 16.09/16.41 (define @t274 () (and @t86 @t223 @t174 @t217 @t214 @t106 @t180 @t182 @t184 @t186 @t188 @t108 @t230 @t272 @t232 @t234 @t236 @t239 @t243 @t247 @t192 @t252)) % 16.09/16.41 (define @t275 () (not @t273)) % 16.09/16.41 (define @t276 () (not @t253)) % 16.09/16.41 (define @t277 () (or @t276 @t275)) % 16.09/16.41 (define @t278 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t41))) % 16.09/16.41 (define @t279 () (and @t86 @t223 @t174 @t217 @t214 @t106 @t180 @t182 @t184 @t186 @t188 @t108 @t230 @t232 @t234 @t236 @t239 @t243 @t247 @t192 @t252)) % 16.09/16.41 (define @t280 () (not @t278)) % 16.09/16.41 (define @t281 () (or @t280 @t222)) % 16.09/16.41 (define @t282 () (@list true)) % 16.09/16.41 (define @t283 () (@list @t170)) % 16.09/16.41 (define @t284 () (@list false false)) % 16.09/16.41 (define @t285 () (@list false false false false false false false false)) % 16.09/16.41 (assume @p1 @t4) % 16.09/16.41 (assume @p2 @t6) % 16.09/16.41 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 16.09/16.41 (assume @p4 @t13) % 16.09/16.41 (assume @p5 @t16) % 16.09/16.41 (assume @p6 @t19) % 16.09/16.41 (assume @p7 @t22) % 16.09/16.41 (assume @p8 @t25) % 16.09/16.41 (assume @p9 @t28) % 16.09/16.41 (assume @p10 @t31) % 16.09/16.41 (assume @p11 @t34) % 16.09/16.41 (assume @p12 @t35) % 16.09/16.41 (assume @p13 @t36) % 16.09/16.41 (assume @p14 @t37) % 16.09/16.41 (assume @p15 @t38) % 16.09/16.41 (assume @p16 @t39) % 16.09/16.41 (assume @p17 @t40) % 16.09/16.41 (assume @p18 (or @t42 @t10)) % 16.09/16.41 (assume @p19 (or @t42 @t15)) % 16.09/16.41 (assume @p20 @t43) % 16.09/16.41 (assume @p21 @t44) % 16.09/16.41 (assume @p22 @t45) % 16.09/16.41 (assume @p23 @t46) % 16.09/16.41 (assume @p24 @t47) % 16.09/16.41 (assume @p25 (or @t49 @t10)) % 16.09/16.41 (assume @p26 (or @t49 @t15)) % 16.09/16.41 (assume @p27 @t50) % 16.09/16.41 (assume @p28 @t51) % 16.09/16.41 (assume @p29 @t52) % 16.09/16.41 (assume @p30 @t53) % 16.09/16.41 (assume @p31 @t54) % 16.09/16.41 (assume @p32 @t85) % 16.09/16.41 (step @p33 :rule eq-symm :args (@t9 tptp.sk_c8)) % 16.09/16.41 (step @p34 :rule eq-symm :args (@t32 tptp.sk_c9)) % 16.09/16.41 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t34)) % 16.09/16.41 (step @p36 :rule eq_resolve :premises (@p11 @p35)) % 16.09/16.41 (step @p37 :rule reordering :premises (@p36) :args ((or @t87 @t86))) % 16.09/16.41 (step @p38 :rule eq-symm :args (@t14 tptp.sk_c9)) % 16.09/16.41 (step @p39 :rule nary_cong :premises (@p34 @p38) :args (@t35)) % 16.09/16.41 (step @p40 :rule eq_resolve :premises (@p12 @p39)) % 16.09/16.41 (step @p41 :rule reordering :premises (@p40) :args ((or @t88 @t86))) % 16.09/16.41 (step @p42 :rule eq-symm :args (@t17 tptp.sk_c8)) % 16.09/16.41 (step @p43 :rule nary_cong :premises (@p34 @p42) :args (@t36)) % 16.09/16.41 (step @p44 :rule eq_resolve :premises (@p13 @p43)) % 16.09/16.41 (step @p45 :rule reordering :premises (@p44) :args ((or @t89 @t86))) % 16.09/16.41 (step @p46 :rule eq-symm :args (@t20 tptp.sk_c7)) % 16.09/16.41 (step @p47 :rule nary_cong :premises (@p34 @p46) :args (@t37)) % 16.09/16.41 (step @p48 :rule eq_resolve :premises (@p14 @p47)) % 16.09/16.41 (step @p49 :rule reordering :premises (@p48) :args ((or @t90 @t86))) % 16.09/16.41 (step @p50 :rule eq-symm :args (@t23 tptp.sk_c7)) % 16.09/16.41 (step @p51 :rule nary_cong :premises (@p34 @p50) :args (@t38)) % 16.09/16.41 (step @p52 :rule eq_resolve :premises (@p15 @p51)) % 16.09/16.41 (step @p53 :rule reordering :premises (@p52) :args ((or @t91 @t86))) % 16.09/16.41 (step @p54 :rule eq-symm :args (@t26 tptp.sk_c6)) % 16.09/16.41 (step @p55 :rule nary_cong :premises (@p34 @p54) :args (@t39)) % 16.09/16.41 (step @p56 :rule eq_resolve :premises (@p16 @p55)) % 16.09/16.41 (step @p57 :rule reordering :premises (@p56) :args ((or @t92 @t86))) % 16.09/16.41 (step @p58 :rule eq-symm :args (@t29 tptp.sk_c8)) % 16.09/16.41 (step @p59 :rule nary_cong :premises (@p34 @p58) :args (@t40)) % 16.09/16.41 (step @p60 :rule eq_resolve :premises (@p17 @p59)) % 16.09/16.41 (step @p61 :rule reordering :premises (@p60) :args ((or @t93 @t86))) % 16.09/16.41 (step @p62 :rule cnf_or_pos :args (@t96)) % 16.09/16.41 (step @p63 :rule reordering :premises (@p62) :args ((or @t95 @t94 @t97))) % 16.09/16.41 (assume-push @p1185 @t101) % 16.09/16.41 (step @p65 :rule instantiate :premises (@p1185) :args (@t102)) % 16.09/16.41 (step-pop @p1186 :rule scope :premises (@p65)) % 16.09/16.41 (step @p66 :rule process_scope :premises (@p1186) :args (@t96)) % 16.09/16.41 (step @p68 :rule implies_elim :premises (@p66)) % 16.09/16.41 (step @p69 :rule eq-symm :args (@t2 @t1)) % 16.09/16.41 (step @p70 :rule cong :premises (@p69) :args (@t4)) % 16.09/16.41 (step @p71 :rule eq_resolve :premises (@p1 @p70)) % 16.09/16.41 (step @p72 :rule instantiate :premises (@p71) :args ((@list tptp.identity))) % 16.09/16.41 (step @p73 :rule instantiate :premises (@p71) :args (@t103)) % 16.09/16.41 (step @p74 :rule eq-symm :args (@t5 tptp.identity)) % 16.09/16.41 (step @p75 :rule cong :premises (@p74) :args (@t6)) % 16.09/16.41 (step @p76 :rule eq_resolve :premises (@p2 @p75)) % 16.09/16.41 (step @p77 :rule instantiate :premises (@p76) :args (@t104)) % 16.09/16.41 (step @p78 :rule instantiate :premises (@p3) :args ((@list @t29 tptp.sk_c5 tptp.sk_c8))) % 16.09/16.41 (assume-push @p1187 @t90) % 16.09/16.41 (assume-push @p1188 @t91) % 16.09/16.41 (assume-push @p1189 @t92) % 16.09/16.41 (assume-push @p1190 @t93) % 16.09/16.41 (assume-push @p1191 @t106) % 16.09/16.41 (assume-push @p1192 @t108) % 16.09/16.41 (assume-push @p1193 @t110) % 16.09/16.41 (assume-push @p1194 @t113) % 16.09/16.41 (assume-push @p1195 @t90) % 16.09/16.41 (assume-push @p1196 @t114) % 16.09/16.41 (assume-push @p1197 @t93) % 16.09/16.41 (step @p90 :rule symm :premises (@p1196)) % 16.09/16.41 (step @p91 :rule trans :premises (@p1190 @p90 @p1187)) % 16.09/16.41 (step-pop @p1198 :rule scope :premises (@p91)) % 16.09/16.41 (step-pop @p1199 :rule scope :premises (@p1198)) % 16.09/16.41 (step-pop @p1200 :rule scope :premises (@p1199)) % 16.09/16.41 (step @p92 :rule process_scope :premises (@p1200) :args (@t115)) % 16.09/16.41 (assume-push @p1201 @t93) % 16.09/16.41 (assume-push @p1202 @t108) % 16.09/16.41 (assume-push @p1203 @t106) % 16.09/16.41 (assume-push @p1204 @t110) % 16.09/16.41 (assume-push @p1205 @t113) % 16.09/16.41 (assume-push @p1206 @t92) % 16.09/16.41 (assume-push @p1207 @t91) % 16.09/16.41 (step @p103 :rule symm :premises (@p73)) % 16.09/16.41 (step @p104 :rule refl :args (tptp.sk_c8)) % 16.09/16.41 (step @p105 :rule symm :premises (@p72)) % 16.09/16.41 (step @p106 :rule cong :premises (@p105 @p104) :args (@t116)) % 16.09/16.41 (step @p107 :rule cong :premises (@p72 @p103) :args (@t117)) % 16.09/16.41 (step @p108 :rule symm :premises (@p77)) % 16.09/16.41 (step @p109 :rule cong :premises (@p108 @p73) :args (@t112)) % 16.09/16.41 (step @p110 :rule symm :premises (@p78)) % 16.09/16.41 (step @p111 :rule cong :premises (@p1190 @p1189) :args (@t23)) % 16.09/16.41 (step @p112 :rule trans :premises (@p1188 @p111 @p110 @p109 @p107 @p106 @p103 @p1190)) % 16.09/16.41 (step-pop @p1208 :rule scope :premises (@p112)) % 16.09/16.41 (step-pop @p1209 :rule scope :premises (@p1208)) % 16.09/16.41 (step-pop @p1210 :rule scope :premises (@p1209)) % 16.09/16.41 (step-pop @p1211 :rule scope :premises (@p1210)) % 16.09/16.41 (step-pop @p1212 :rule scope :premises (@p1211)) % 16.09/16.41 (step-pop @p1213 :rule scope :premises (@p1212)) % 16.09/16.41 (step-pop @p1214 :rule scope :premises (@p1213)) % 16.09/16.41 (step @p113 :rule process_scope :premises (@p1214) :args (@t114)) % 16.09/16.41 (step @p121 :rule and_intro :premises (@p1190 @p73 @p72 @p77 @p78 @p1189 @p1188)) % 16.09/16.41 (step @p122 :rule modus_ponens :premises (@p121 @p113)) % 16.09/16.41 (step @p123 :rule and_intro :premises (@p1187 @p122 @p1190)) % 16.09/16.41 (step @p124 :rule modus_ponens :premises (@p123 @p92)) % 16.09/16.41 (step-pop @p1215 :rule scope :premises (@p124)) % 16.09/16.41 (step-pop @p1216 :rule scope :premises (@p1215)) % 16.09/16.41 (step-pop @p1217 :rule scope :premises (@p1216)) % 16.09/16.41 (step-pop @p1218 :rule scope :premises (@p1217)) % 16.09/16.41 (step-pop @p1219 :rule scope :premises (@p1218)) % 16.09/16.41 (step-pop @p1220 :rule scope :premises (@p1219)) % 16.09/16.41 (step-pop @p1221 :rule scope :premises (@p1220)) % 16.09/16.41 (step-pop @p1222 :rule scope :premises (@p1221)) % 16.09/16.41 (step @p125 :rule process_scope :premises (@p1222) :args (@t115)) % 16.09/16.41 (step @p134 :rule implies_elim :premises (@p125)) % 16.09/16.41 (step @p135 :rule cnf_and_neg :args (@t118)) % 16.09/16.41 (step @p136 :rule resolution :premises (@p135 @p134) :args (true @t118)) % 16.09/16.41 (assume-push @p1223 @t89) % 16.09/16.41 (assume-push @p1224 @t91) % 16.09/16.41 (assume-push @p1225 @t92) % 16.09/16.41 (assume-push @p1226 @t93) % 16.09/16.41 (assume-push @p1227 @t106) % 16.09/16.41 (assume-push @p1228 @t108) % 16.09/16.41 (assume-push @p1229 @t110) % 16.09/16.41 (assume-push @p1230 @t113) % 16.09/16.41 (assume-push @p1231 @t108) % 16.09/16.41 (assume-push @p1232 @t106) % 16.09/16.41 (assume-push @p1233 @t110) % 16.09/16.41 (assume-push @p1234 @t113) % 16.09/16.41 (assume-push @p1235 @t93) % 16.09/16.41 (assume-push @p1236 @t92) % 16.09/16.41 (assume-push @p1237 @t91) % 16.09/16.41 (assume-push @p1238 @t89) % 16.09/16.41 (step @p103 :rule symm :premises (@p73)) % 16.09/16.41 (step @p104 :rule refl :args (tptp.sk_c8)) % 16.09/16.41 (step @p105 :rule symm :premises (@p72)) % 16.09/16.41 (step @p106 :rule cong :premises (@p105 @p104) :args (@t116)) % 16.09/16.42 (step @p107 :rule cong :premises (@p72 @p103) :args (@t117)) % 16.09/16.42 (step @p108 :rule symm :premises (@p77)) % 16.09/16.42 (step @p109 :rule cong :premises (@p108 @p73) :args (@t112)) % 16.09/16.42 (step @p110 :rule symm :premises (@p78)) % 16.09/16.42 (step @p153 :rule cong :premises (@p1226 @p1225) :args (@t23)) % 16.09/16.42 (step @p154 :rule trans :premises (@p1224 @p153 @p110 @p109 @p107 @p106 @p103)) % 16.09/16.42 (step @p155 :rule refl :args (tptp.sk_c4)) % 16.09/16.42 (step @p156 :rule cong :premises (@p155 @p154) :args (@t17)) % 16.09/16.42 (step @p157 :rule trans :premises (@p1224 @p153 @p110 @p109 @p107 @p106 @p103 @p1223 @p156)) % 16.09/16.42 (step-pop @p1239 :rule scope :premises (@p157)) % 16.09/16.42 (step-pop @p1240 :rule scope :premises (@p1239)) % 16.09/16.42 (step-pop @p1241 :rule scope :premises (@p1240)) % 16.09/16.42 (step-pop @p1242 :rule scope :premises (@p1241)) % 16.09/16.42 (step-pop @p1243 :rule scope :premises (@p1242)) % 16.09/16.42 (step-pop @p1244 :rule scope :premises (@p1243)) % 16.09/16.42 (step-pop @p1245 :rule scope :premises (@p1244)) % 16.09/16.42 (step-pop @p1246 :rule scope :premises (@p1245)) % 16.09/16.42 (step @p158 :rule process_scope :premises (@p1246) :args (@t120)) % 16.09/16.42 (step @p167 :rule and_intro :premises (@p73 @p72 @p77 @p78 @p1226 @p1225 @p1224 @p1223)) % 16.09/16.42 (step @p168 :rule modus_ponens :premises (@p167 @p158)) % 16.09/16.42 (step-pop @p1247 :rule scope :premises (@p168)) % 16.09/16.42 (step-pop @p1248 :rule scope :premises (@p1247)) % 16.09/16.42 (step-pop @p1249 :rule scope :premises (@p1248)) % 16.09/16.42 (step-pop @p1250 :rule scope :premises (@p1249)) % 16.09/16.42 (step-pop @p1251 :rule scope :premises (@p1250)) % 16.09/16.42 (step-pop @p1252 :rule scope :premises (@p1251)) % 16.09/16.42 (step-pop @p1253 :rule scope :premises (@p1252)) % 16.09/16.42 (step-pop @p1254 :rule scope :premises (@p1253)) % 16.09/16.42 (step @p169 :rule process_scope :premises (@p1254) :args (@t120)) % 16.09/16.42 (step @p178 :rule implies_elim :premises (@p169)) % 16.09/16.42 (step @p179 :rule cnf_and_neg :args (@t121)) % 16.09/16.42 (step @p180 :rule resolution :premises (@p179 @p178) :args (true @t121)) % 16.09/16.42 (step @p181 :rule cnf_or_pos :args (@t124)) % 16.09/16.42 (step @p182 :rule reordering :premises (@p181) :args ((or @t123 @t122 @t125))) % 16.09/16.42 (assume-push @p1255 @t129) % 16.09/16.42 (step @p184 :rule instantiate :premises (@p1255) :args (@t102)) % 16.09/16.42 (step-pop @p1256 :rule scope :premises (@p184)) % 16.09/16.42 (step @p185 :rule process_scope :premises (@p1256) :args (@t124)) % 16.09/16.42 (step @p187 :rule implies_elim :premises (@p185)) % 16.09/16.42 (step @p188 :rule cnf_or_pos :args (@t132)) % 16.09/16.42 (step @p189 :rule reordering :premises (@p188) :args ((or @t131 @t130 @t133))) % 16.09/16.42 (assume-push @p1257 @t137) % 16.09/16.42 (step @p191 :rule instantiate :premises (@p1257) :args ((@list tptp.sk_c3))) % 16.09/16.42 (step-pop @p1258 :rule scope :premises (@p191)) % 16.09/16.42 (step @p192 :rule process_scope :premises (@p1258) :args (@t132)) % 16.09/16.42 (step @p194 :rule implies_elim :premises (@p192)) % 16.09/16.42 (step @p195 :rule alpha_equiv :args (@t137 (@list @t78) (@list @t68))) % 16.09/16.42 (step @p196 :rule equiv_elim2 :premises (@p195)) % 16.09/16.42 (step @p197 :rule aci_norm :args ((= (or @t139 false @t138) @t140))) % 16.09/16.42 (step @p198 :rule refl :args (@t138)) % 16.09/16.42 (step @p199 :rule evaluate :args ((not true))) % 16.09/16.42 (step @p200 :rule eq-refl :args (@t59)) % 16.09/16.42 (step @p201 :rule cong :premises (@p200) :args (@t141)) % 16.09/16.42 (step @p202 :rule trans :premises (@p201 @p199)) % 16.09/16.42 (step @p203 :rule refl :args (@t139)) % 16.09/16.42 (step @p204 :rule nary_cong :premises (@p203 @p202 @p198) :args (@t142)) % 16.09/16.42 (step @p205 :rule trans :premises (@p204 @p197)) % 16.09/16.42 (step @p206 :rule cong :premises (@p205) :args ((forall @t143 @t142))) % 16.09/16.42 (step @p207 :rule quant-var-elim-eq :args ((= (forall @t147 @t146) @t142))) % 16.09/16.42 (step @p208 :rule aci_norm :args ((= @t148 @t146))) % 16.09/16.42 (step @p209 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16.09/16.42 (assume-push @p1302 @t186) % 16.09/16.42 (assume-push @p1303 @t106) % 16.09/16.42 (assume-push @p1304 @t184) % 16.09/16.42 (assume-push @p1305 @t86) % 16.09/16.42 (assume-push @p1306 @t195) % 16.09/16.42 (assume-push @p1307 @t192) % 16.09/16.42 (assume-push @p1308 @t182) % 16.09/16.42 (assume-push @p1309 @t170) % 16.09/16.42 (assume-push @p1310 @t93) % 16.09/16.42 (assume-push @p1311 @t91) % 16.09/16.42 (assume-push @p1312 @t190) % 16.09/16.42 (assume-push @p1313 @t92) % 16.09/16.42 (assume-push @p1314 @t113) % 16.09/16.42 (assume-push @p1315 @t110) % 16.09/16.42 (assume-push @p1316 @t108) % 16.09/16.42 (step @p372 :rule symm :premises (@p328)) % 16.09/16.42 (step @p373 :rule refl :args (tptp.sk_c7)) % 16.09/16.42 (step @p374 :rule symm :premises (@p332)) % 16.09/16.42 (step @p375 :rule symm :premises (@p331)) % 16.09/16.42 (step @p376 :rule refl :args (tptp.sk_c9)) % 16.09/16.42 (step @p105 :rule symm :premises (@p72)) % 16.09/16.42 (step @p377 :rule cong :premises (@p105 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16.09/16.42 (assume-push @p1533 @t234) % 16.09/16.42 (assume-push @p1534 @t236) % 16.09/16.42 (assume-push @p1535 @t239) % 16.09/16.42 (assume-push @p1536 @t241) % 16.09/16.42 (assume-push @p1537 @t243) % 16.09/16.42 (assume-push @p1538 @t247) % 16.09/16.42 (assume-push @p1539 @t192) % 16.09/16.42 (assume-push @p1540 @t252) % 16.09/16.42 (assume-push @p1541 @t223) % 16.09/16.42 (assume-push @p1542 @t241) % 16.09/16.42 (assume-push @p1543 @t174) % 16.09/16.42 (assume-push @p1544 @t236) % 16.09/16.42 (assume-push @p1545 @t234) % 16.09/16.42 (assume-push @p1546 @t108) % 16.09/16.42 (assume-push @p1547 @t106) % 16.09/16.42 (assume-push @p1548 @t180) % 16.09/16.42 (assume-push @p1549 @t230) % 16.09/16.42 (assume-push @p1550 @t239) % 16.09/16.42 (assume-push @p1551 @t188) % 16.09/16.42 (assume-push @p1552 @t186) % 16.09/16.42 (assume-push @p1553 @t252) % 16.09/16.42 (assume-push @p1554 @t184) % 16.09/16.42 (assume-push @p1555 @t86) % 16.09/16.42 (assume-push @p1556 @t192) % 16.09/16.42 (assume-push @p1557 @t182) % 16.09/16.42 (assume-push @p1558 @t243) % 16.09/16.42 (assume-push @p1559 @t214) % 16.09/16.42 (assume-push @p1560 @t247) % 16.09/16.42 (assume-push @p1561 @t232) % 16.09/16.42 (assume-push @p1562 @t217) % 16.09/16.42 (step @p373 :rule refl :args (tptp.sk_c7)) % 16.09/16.42 (step @p777 :rule symm :premises (@p1520)) % 16.09/16.42 (step @p778 :rule cong :premises (@p777 @p373) :args (@t240)) % 16.09/16.42 (step @p779 :rule symm :premises (@p729)) % 16.09/16.42 (step @p780 :rule symm :premises (@p1521)) % 16.09/16.42 (step @p781 :rule cong :premises (@p780 @p777) :args (@t235)) % 16.09/16.42 (step @p103 :rule symm :premises (@p73)) % 16.09/16.42 (step @p782 :rule cong :premises (@p726 @p103) :args (@t117)) % 16.09/16.42 (step @p105 :rule symm :premises (@p72)) % 16.09/16.42 (step @p409 :rule cong :premises (@p105 @p73) :args (@t116)) % 16.09/16.42 (step @p104 :rule refl :args (tptp.sk_c8)) % 16.09/16.42 (step @p410 :rule cong :premises (@p72 @p104) :args 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(@t228)) % 16.09/16.42 (step @p1052 :rule cong :premises (@p789 @p1051) :args (@t229)) % 16.09/16.42 (step @p1053 :rule trans :premises (@p724 @p1052 @p788 @p787 @p372 @p1698)) % 16.09/16.42 (step @p1054 :rule symm :premises (@p1700)) % 16.09/16.42 (step @p376 :rule refl :args (tptp.sk_c9)) % 16.09/16.42 (step @p922 :rule symm :premises (@p725)) % 16.09/16.42 (step @p807 :rule refl :args (@t212)) % 16.09/16.42 (step @p374 :rule symm :premises (@p332)) % 16.09/16.42 (step @p923 :rule cong :premises (@p374 @p807) :args (@t246)) % 16.09/16.42 (step @p924 :rule symm :premises (@p731)) % 16.09/16.42 (step @p1055 :rule symm :premises (@p1701)) % 16.09/16.42 (step @p1056 :rule cong :premises (@p1055 @p807) :args (@t242)) % 16.09/16.42 (step @p379 :rule symm :premises (@p330)) % 16.09/16.42 (step @p380 :rule refl :args (tptp.sk_c1)) % 16.09/16.42 (step @p1057 :rule cong :premises (@p1697 @p380) :args (@t178)) % 16.09/16.42 (step @p1058 :rule trans :premises (@p1057 @p379 @p730 @p1056)) % 16.09/16.42 (step @p385 :rule refl :args (@t177)) % 16.09/16.42 (step @p1059 :rule cong :premises (@p385 @p1058) :args (@t191)) % 16.09/16.42 (step @p387 :rule symm :premises (@p329)) % 16.09/16.42 (step @p388 :rule cong :premises (@p332 @p387) :args (@t198)) % 16.09/16.42 (step @p389 :rule cong :premises (@p105 @p329) :args (@t199)) % 16.09/16.42 (step @p390 :rule cong :premises (@p72 @p380) :args (@t181)) % 16.09/16.42 (step @p1060 :rule trans :premises (@p329 @p390 @p389 @p388 @p334 @p1059 @p924 @p923 @p922)) % 16.09/16.42 (step @p801 :rule symm :premises (@p390)) % 16.09/16.42 (step @p802 :rule symm :premises (@p389)) % 16.09/16.42 (step @p803 :rule symm :premises (@p388)) % 16.09/16.42 (step @p804 :rule symm :premises (@p334)) % 16.09/16.42 (step @p1061 :rule symm :premises (@p1057)) % 16.09/16.42 (step @p1062 :rule symm :premises (@p1052)) % 16.09/16.42 (step @p792 :rule symm :premises (@p787)) % 16.09/16.42 (step @p1063 :rule trans :premises (@p328 @p792 @p728 @p1062 @p786 @p330 @p1061)) % 16.09/16.42 (step @p1064 :rule cong :premises (@p385 @p1063) :args (@t250)) % 16.09/16.42 (step @p1065 :rule trans :premises (@p1064 @p804 @p803 @p802 @p801 @p387)) % 16.09/16.42 (step @p1066 :rule trans :premises (@p1065 @p1060)) % 16.09/16.42 (step @p1067 :rule cong :premises (@p1066 @p376) :args (@t251)) % 16.09/16.42 (step @p938 :rule symm :premises (@p732)) % 16.09/16.42 (step @p375 :rule symm :premises (@p331)) % 16.09/16.42 (step @p1068 :rule trans :premises (@p724 @p1052 @p788 @p787 @p372)) % 16.09/16.42 (step @p1069 :rule cong :premises (@p1068 @p375) :args (@t197)) % 16.09/16.42 (step @p502 :rule cong :premises (@p105 @p331) :args (@t196)) % 16.09/16.42 (step @p503 :rule cong :premises (@p72 @p376) :args (@t185)) % 16.09/16.42 (step @p1070 :rule trans :premises (@p331 @p503 @p502 @p1069)) % 16.09/16.42 (step @p1071 :rule cong :premises (@p385 @p1070) :args (@t187)) % 16.09/16.42 (step @p1072 :rule trans :premises (@p332 @p1071 @p938 @p1067 @p1054)) % 16.09/16.42 (step @p1073 :rule cong :premises (@p1072 @p1053) :args (@t105)) % 16.09/16.42 (step @p1074 :rule trans :premises (@p328 @p792 @p728 @p1062 @p786 @p72 @p1073)) % 16.09/16.42 (step-pop @p1739 :rule scope :premises (@p1074)) % 16.09/16.42 (step-pop @p1740 :rule scope :premises (@p1739)) % 16.09/16.42 (step-pop @p1741 :rule scope :premises (@p1740)) % 16.09/16.42 (step-pop @p1742 :rule scope :premises (@p1741)) % 16.09/16.42 (step-pop @p1743 :rule scope :premises (@p1742)) % 16.09/16.42 (step-pop @p1744 :rule scope :premises (@p1743)) % 16.09/16.42 (step-pop @p1745 :rule scope :premises (@p1744)) % 16.09/16.42 (step-pop @p1746 :rule scope :premises (@p1745)) % 16.09/16.42 (step-pop @p1747 :rule scope :premises (@p1746)) % 16.09/16.42 (step-pop @p1748 :rule scope :premises (@p1747)) % 16.09/16.42 (step-pop @p1749 :rule scope :premises (@p1748)) % 16.09/16.42 (step-pop @p1750 :rule scope :premises (@p1749)) % 16.09/16.42 (step-pop @p1751 :rule scope :premises (@p1750)) % 16.09/16.42 (step-pop @p1752 :rule scope :premises (@p1751)) % 16.09/16.42 (step-pop @p1753 :rule scope :premises (@p1752)) % 16.09/16.42 (step-pop @p1754 :rule scope :premises (@p1753)) % 16.09/16.42 (step-pop @p1755 :rule scope :premises (@p1754)) % 16.09/16.42 (step-pop @p1756 :rule scope :premises (@p1755)) % 16.09/16.42 (step-pop @p1757 :rule scope :premises (@p1756)) % 16.09/16.42 (step-pop @p1758 :rule scope :premises (@p1757)) % 16.09/16.42 (step-pop @p1759 :rule scope :premises (@p1758)) % 16.09/16.42 (step @p1075 :rule process_scope :premises (@p1759) :args (@t278)) % 16.09/16.42 (step @p1097 :rule and_intro :premises (@p1700 @p725 @p332 @p731 @p1701 @p730 @p330 @p1697 @p334 @p329 @p72 @p724 @p73 @p726 @p727 @p1699 @p1698 @p728 @p328 @p732 @p331)) % 16.09/16.42 (step @p1098 :rule modus_ponens :premises (@p1097 @p1075)) % 16.09/16.42 (step-pop @p1760 :rule scope :premises (@p1098)) % 16.09/16.42 (step-pop @p1761 :rule scope :premises (@p1760)) % 16.09/16.42 (step-pop @p1762 :rule scope :premises (@p1761)) % 16.09/16.42 (step-pop @p1763 :rule scope :premises (@p1762)) % 16.09/16.42 (step-pop @p1764 :rule scope :premises (@p1763)) % 16.09/16.42 (step-pop @p1765 :rule scope :premises (@p1764)) % 16.09/16.42 (step-pop @p1766 :rule scope :premises (@p1765)) % 16.09/16.42 (step-pop @p1767 :rule scope :premises (@p1766)) % 16.09/16.42 (step-pop @p1768 :rule scope :premises (@p1767)) % 16.09/16.42 (step-pop @p1769 :rule scope :premises (@p1768)) % 16.09/16.42 (step-pop @p1770 :rule scope :premises (@p1769)) % 16.09/16.42 (step-pop @p1771 :rule scope :premises (@p1770)) % 16.09/16.42 (step-pop @p1772 :rule scope :premises (@p1771)) % 16.09/16.42 (step-pop @p1773 :rule scope :premises (@p1772)) % 16.09/16.42 (step-pop @p1774 :rule scope :premises (@p1773)) % 16.09/16.42 (step-pop @p1775 :rule scope :premises (@p1774)) % 16.09/16.42 (step-pop @p1776 :rule scope :premises (@p1775)) % 16.09/16.42 (step-pop @p1777 :rule scope :premises (@p1776)) % 16.09/16.42 (step-pop @p1778 :rule scope :premises (@p1777)) % 16.09/16.42 (step-pop @p1779 :rule scope :premises (@p1778)) % 16.09/16.42 (step-pop @p1780 :rule scope :premises (@p1779)) % 16.09/16.42 (step @p1099 :rule process_scope :premises (@p1780) :args (@t278)) % 16.09/16.42 (step @p1121 :rule implies_elim :premises (@p1099)) % 16.09/16.42 (step @p1122 :rule cnf_and_neg :args (@t279)) % 16.09/16.42 (step @p1123 :rule resolution :premises (@p1122 @p1121) :args (true @t279)) % 16.09/16.42 (step @p1124 :rule cnf_or_pos :args (@t281)) % 16.09/16.42 (step @p1125 :rule reordering :premises (@p1124) :args ((or @t222 @t280 (not @t281)))) % 16.09/16.42 (assume-push @p1781 @t160) % 16.09/16.42 (step @p1127 :rule instantiate :premises (@p1781) :args (@t226)) % 16.09/16.42 (step-pop @p1782 :rule scope :premises (@p1127)) % 16.09/16.42 (step @p1128 :rule process_scope :premises (@p1782) :args (@t281)) % 16.09/16.42 (step @p1130 :rule implies_elim :premises (@p1128)) % 16.09/16.42 (step @p1131 :rule chain_m_resolution :premises (@p1130 @p1125 @p1123 @p732 @p334 @p731 @p730 @p728 @p727 @p726 @p725 @p724 @p73 @p332 @p331 @p330 @p329 @p328 @p72 @p252 @p1005 @p1000 @p998 @p732 @p334 @p731 @p730 @p728 @p727 @p726 @p725 @p868 @p724 @p73 @p332 @p331 @p330 @p329 @p328 @p72 @p867 @p732 @p334 @p731 @p730 @p729 @p728 @p727 @p726 @p725 @p724 @p73 @p332 @p331 @p330 @p329 @p328 @p72 @p723 @p718 @p196 @p716 @p711 @p705) :args ((or @t137 @t169 @t224 @t222) (@list true false false false false false false false false false false false false false false false false false false true true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true true true false false true) (@list @t281 @t278 @t252 @t192 @t247 @t243 @t239 @t236 @t234 @t232 @t230 @t108 @t188 @t186 @t184 @t182 @t180 @t106 @t160 @t101 @t277 @t273 @t252 @t192 @t247 @t243 @t239 @t236 @t234 @t232 @t272 @t230 @t108 @t188 @t186 @t184 @t182 @t180 @t106 @t253 @t252 @t192 @t247 @t243 @t241 @t239 @t236 @t234 @t232 @t230 @t108 @t188 @t186 @t184 @t182 @t180 @t106 @t129 @t225 @t156 @t217 @t214 @t219))) % 16.09/16.42 (step @p1132 :rule eq-symm :args (@t41 tptp.sk_c7)) % 16.09/16.42 (step @p1133 :rule nary_cong :premises (@p1132 @p42) :args (@t43)) % 16.09/16.42 (step @p1134 :rule eq_resolve :premises (@p20 @p1133)) % 16.09/16.42 (step @p1135 :rule reordering :premises (@p1134) :args ((or @t89 @t223))) % 16.09/16.42 (step @p1136 :rule nary_cong :premises (@p1132 @p46) :args (@t44)) % 16.09/16.42 (step @p1137 :rule eq_resolve :premises (@p21 @p1136)) % 16.09/16.42 (step @p1138 :rule reordering :premises (@p1137) :args ((or @t90 @t223))) % 16.09/16.42 (step @p1139 :rule nary_cong :premises (@p1132 @p50) :args (@t45)) % 16.09/16.42 (step @p1140 :rule eq_resolve :premises (@p22 @p1139)) % 16.09/16.42 (step @p1141 :rule reordering :premises (@p1140) :args ((or @t91 @t223))) % 16.09/16.42 (step @p1142 :rule nary_cong :premises (@p1132 @p54) :args (@t46)) % 16.09/16.42 (step @p1143 :rule eq_resolve :premises (@p23 @p1142)) % 16.09/16.42 (step @p1144 :rule reordering :premises (@p1143) :args ((or @t92 @t223))) % 16.09/16.42 (step @p1145 :rule nary_cong :premises (@p1132 @p58) :args (@t47)) % 16.09/16.42 (step @p1146 :rule eq_resolve :premises (@p24 @p1145)) % 16.09/16.42 (step @p1147 :rule reordering :premises (@p1146) :args ((or @t93 @t223))) % 16.09/16.42 (step @p1148 :rule chain_m_resolution :premises (@p695 @p252 @p690 @p187 @p68 @p688 @p335 @p78 @p334 @p77 @p333 @p456 @p455 @p73 @p332 @p331 @p330 @p329 @p328 @p72 @p572 @p454 @p335 @p78 @p334 @p77 @p333 @p73 @p332 @p331 @p330 @p329 @p328 @p72 @p63 @p1147 @p1144 @p1141 @p1138 @p1135 @p1131 @p696 @p196 @p311 @p306) :args (@t172 (@list false true true true false false false false false false false false false false false false false false false true false false false false false false false false false false false false false true false false false false false true false true true true) (@list @t160 @t211 @t129 @t101 @t209 @t195 @t113 @t192 @t110 @t190 @t205 @t203 @t108 @t188 @t186 @t184 @t182 @t180 @t106 @t124 @t115 @t195 @t113 @t192 @t110 @t190 @t108 @t188 @t186 @t184 @t182 @t180 @t106 @t96 @t93 @t92 @t91 @t90 @t89 @t223 @t174 @t156 @t137 @t172))) % 16.09/16.42 (step @p1149 :rule chain_m_resolution :premises (@p1148 @p304) :args (@t171 (@list false) (@list @t86))) % 16.09/16.42 (step @p1150 :rule eq-symm :args (@t11 tptp.sk_c8)) % 16.09/16.42 (step @p1151 :rule nary_cong :premises (@p1150 @p46) :args (@t22)) % 16.09/16.42 (step @p1152 :rule eq_resolve :premises (@p7 @p1151)) % 16.09/16.42 (step @p1153 :rule chain_m_resolution :premises (@p1152 @p1149) :args (@t90 @t282 @t283)) % 16.09/16.42 (step @p1154 :rule nary_cong :premises (@p1150 @p42) :args (@t19)) % 16.09/16.42 (step @p1155 :rule eq_resolve :premises (@p6 @p1154)) % 16.09/16.42 (step @p1156 :rule chain_m_resolution :premises (@p1155 @p1149) :args (@t89 @t282 @t283)) % 16.09/16.42 (step @p1157 :rule chain_m_resolution :premises (@p63 @p1156 @p1153) :args (@t97 @t284 (@list @t89 @t90))) % 16.09/16.42 (step @p1158 :rule chain_m_resolution :premises (@p68 @p1157) :args ((not @t101) @t282 (@list @t96))) % 16.09/16.42 (step @p1159 :rule nary_cong :premises (@p1150 @p38) :args (@t16)) % 16.09/16.42 (step @p1160 :rule eq_resolve :premises (@p5 @p1159)) % 16.09/16.42 (step @p1161 :rule chain_m_resolution :premises (@p1160 @p1149) :args (@t88 @t282 @t283)) % 16.09/16.42 (step @p1162 :rule nary_cong :premises (@p1150 @p33) :args (@t13)) % 16.09/16.42 (step @p1163 :rule eq_resolve :premises (@p4 @p1162)) % 16.09/16.42 (step @p1164 :rule chain_m_resolution :premises (@p1163 @p1149) :args (@t87 @t282 @t283)) % 16.09/16.42 (step @p1165 :rule chain_m_resolution :premises (@p189 @p1164 @p1161) :args (@t133 @t284 (@list @t87 @t88))) % 16.09/16.42 (step @p1166 :rule chain_m_resolution :premises (@p194 @p1165) :args (@t221 @t282 (@list @t132))) % 16.09/16.42 (step @p1167 :rule nary_cong :premises (@p1150 @p58) :args (@t31)) % 16.09/16.42 (step @p1168 :rule eq_resolve :premises (@p10 @p1167)) % 16.09/16.42 (step @p1169 :rule chain_m_resolution :premises (@p1168 @p1149) :args (@t93 @t282 @t283)) % 16.09/16.42 (step @p1170 :rule nary_cong :premises (@p1150 @p54) :args (@t28)) % 16.09/16.42 (step @p1171 :rule eq_resolve :premises (@p9 @p1170)) % 16.09/16.42 (step @p1172 :rule chain_m_resolution :premises (@p1171 @p1149) :args (@t92 @t282 @t283)) % 16.09/16.42 (step @p1173 :rule nary_cong :premises (@p1150 @p50) :args (@t25)) % 16.09/16.42 (step @p1174 :rule eq_resolve :premises (@p8 @p1173)) % 16.09/16.42 (step @p1175 :rule chain_m_resolution :premises (@p1174 @p1149) :args (@t91 @t282 @t283)) % 16.09/16.42 (step @p1176 :rule chain_m_resolution :premises (@p136 @p1153 @p1175 @p1172 @p1169 @p72 @p73 @p77 @p78) :args (@t115 @t285 (@list @t90 @t91 @t92 @t93 @t106 @t108 @t110 @t113))) % 16.09/16.42 (step @p1177 :rule chain_m_resolution :premises (@p180 @p1156 @p1175 @p1172 @p1169 @p72 @p73 @p77 @p78) :args (@t120 @t285 (@list @t89 @t91 @t92 @t93 @t106 @t108 @t110 @t113))) % 16.09/16.42 (step @p1178 :rule chain_m_resolution :premises (@p182 @p1177 @p1176) :args (@t125 @t284 (@list @t120 @t115))) % 16.09/16.42 (step @p1179 :rule chain_m_resolution :premises (@p187 @p1178) :args ((not @t129) @t282 (@list @t124))) % 16.09/16.42 (step @p1180 :rule chain_m_resolution :premises (@p196 @p1166) :args ((not @t156) @t282 (@list @t137))) % 16.09/16.42 (step @p1181 :rule chain_m_resolution :premises (@p303 @p1175 @p1172 @p1169) :args (@t162 (@list false false false) (@list @t91 @t92 @t93))) % 16.09/16.42 (step @p1182 :rule chain_m_resolution :premises (@p259 @p1169 @p1181) :args (@t165 @t284 (@list @t93 @t162))) % 16.09/16.42 (step @p1183 :rule chain_m_resolution :premises (@p257 @p1182) :args ((not @t160) @t282 (@list @t164))) % 16.09/16.42 (step @p1184 false :rule chain_m_resolution :premises (@p252 @p1183 @p1180 @p1179 @p1166 @p1158) :args (false (@list true true true true true) (@list @t160 @t156 @t129 @t137 @t101))) % 16.09/16.42 ) % 16.09/16.42 % SZS output end Proof % 16.09/16.42 % cvc5 exiting %------------------------------------------------------------------------------