%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP344-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:20:32 AM UTC 2026 % Result : Unsatisfiable 6.52s 6.72s % Output : Proof 6.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GRP344-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 01:02:26 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.52/6.72 % SZS status Unsatisfiable % 6.52/6.72 % SZS output start Proof % 6.52/6.75 ( % 6.52/6.75 (declare-sort $$unsorted 0) % 6.52/6.75 (declare-const tptp.sk_c1 $$unsorted) % 6.52/6.75 (declare-const tptp.sk_c3 $$unsorted) % 6.52/6.75 (declare-const tptp.sk_c6 $$unsorted) % 6.52/6.75 (declare-const tptp.sk_c7 $$unsorted) % 6.52/6.75 (declare-const tptp.sk_c2 $$unsorted) % 6.52/6.75 (declare-const tptp.sk_c4 $$unsorted) % 6.52/6.75 (declare-const tptp.sk_c5 $$unsorted) % 6.52/6.75 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 6.52/6.75 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 6.52/6.75 (declare-const tptp.identity $$unsorted) % 6.52/6.75 (define @t1 () (@var "X" $$unsorted)) % 6.52/6.75 (define @t2 () (tptp.multiply tptp.identity @t1)) % 6.52/6.75 (define @t3 () (@list @t1)) % 6.52/6.75 (define @t4 () (forall @t3 (= @t2 @t1))) % 6.52/6.75 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 6.52/6.75 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 6.52/6.75 (define @t7 () (@var "Z" $$unsorted)) % 6.52/6.75 (define @t8 () (@var "Y" $$unsorted)) % 6.52/6.75 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 6.52/6.75 (define @t10 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 6.52/6.75 (define @t11 () (= @t10 tptp.sk_c5)) % 6.52/6.75 (define @t12 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 6.52/6.75 (define @t13 () (= @t12 tptp.sk_c7)) % 6.52/6.75 (define @t14 () (tptp.inverse tptp.sk_c1)) % 6.52/6.75 (define @t15 () (= @t14 tptp.sk_c7)) % 6.52/6.75 (define @t16 () (or @t15 @t13)) % 6.52/6.75 (define @t17 () (tptp.inverse tptp.sk_c3)) % 6.52/6.75 (define @t18 () (= @t17 tptp.sk_c6)) % 6.52/6.75 (define @t19 () (or @t15 @t18)) % 6.52/6.75 (define @t20 () (tptp.inverse tptp.sk_c4)) % 6.52/6.75 (define @t21 () (= @t20 tptp.sk_c5)) % 6.52/6.75 (define @t22 () (or @t15 @t21)) % 6.52/6.75 (define @t23 () (tptp.multiply tptp.sk_c4 tptp.sk_c6)) % 6.52/6.75 (define @t24 () (= @t23 tptp.sk_c5)) % 6.52/6.75 (define @t25 () (or @t15 @t24)) % 6.52/6.75 (define @t26 () (tptp.multiply tptp.sk_c1 tptp.sk_c6)) % 6.52/6.75 (define @t27 () (= @t26 tptp.sk_c7)) % 6.52/6.75 (define @t28 () (or @t27 @t13)) % 6.52/6.75 (define @t29 () (or @t27 @t18)) % 6.52/6.75 (define @t30 () (or @t27 @t21)) % 6.52/6.75 (define @t31 () (or @t27 @t24)) % 6.52/6.75 (define @t32 () (tptp.inverse tptp.sk_c2)) % 6.52/6.75 (define @t33 () (= @t32 tptp.sk_c6)) % 6.52/6.75 (define @t34 () (or @t33 @t13)) % 6.52/6.75 (define @t35 () (or @t33 @t18)) % 6.52/6.75 (define @t36 () (tptp.multiply tptp.sk_c2 tptp.sk_c5)) % 6.52/6.75 (define @t37 () (= @t36 tptp.sk_c6)) % 6.52/6.75 (define @t38 () (or @t37 @t13)) % 6.52/6.75 (define @t39 () (or @t37 @t18)) % 6.52/6.75 (define @t40 () (@var "X2" $$unsorted)) % 6.52/6.75 (define @t41 () (tptp.multiply @t40 tptp.sk_c6)) % 6.52/6.75 (define @t42 () (not (= @t41 tptp.sk_c5))) % 6.52/6.75 (define @t43 () (tptp.inverse @t40)) % 6.52/6.75 (define @t44 () (not (= @t43 tptp.sk_c5))) % 6.52/6.75 (define @t45 () (@var "X1" $$unsorted)) % 6.52/6.75 (define @t46 () (tptp.inverse @t45)) % 6.52/6.75 (define @t47 () (not (= @t46 tptp.sk_c6))) % 6.52/6.75 (define @t48 () (tptp.multiply @t45 tptp.sk_c6)) % 6.52/6.75 (define @t49 () (not (= @t48 tptp.sk_c7))) % 6.52/6.75 (define @t50 () (@var "X4" $$unsorted)) % 6.52/6.75 (define @t51 () (tptp.multiply @t50 tptp.sk_c5)) % 6.52/6.75 (define @t52 () (not (= @t51 tptp.sk_c6))) % 6.52/6.75 (define @t53 () (tptp.inverse @t50)) % 6.52/6.75 (define @t54 () (not (= @t53 tptp.sk_c6))) % 6.52/6.75 (define @t55 () (@var "X3" $$unsorted)) % 6.52/6.75 (define @t56 () (tptp.multiply @t55 tptp.sk_c6)) % 6.52/6.75 (define @t57 () (not (= @t56 tptp.sk_c7))) % 6.52/6.75 (define @t58 () (tptp.inverse @t55)) % 6.52/6.75 (define @t59 () (not (= @t58 tptp.sk_c7))) % 6.52/6.75 (define @t60 () (not @t11)) % 6.52/6.75 (define @t61 () (or @t60 @t59 @t57 @t54 @t52 @t49 @t47 @t44 @t42)) % 6.52/6.75 (define @t62 () (@list @t55 @t50 @t45 @t40)) % 6.52/6.75 (define @t63 () (forall @t62 @t61)) % 6.52/6.75 (define @t64 () (= tptp.sk_c6 @t17)) % 6.52/6.75 (define @t65 () (not @t64)) % 6.52/6.75 (define @t66 () (= tptp.sk_c7 @t12)) % 6.52/6.75 (define @t67 () (not @t66)) % 6.52/6.75 (define @t68 () (or @t67 @t65)) % 6.52/6.75 (define @t69 () (not (= tptp.sk_c6 @t46))) % 6.52/6.75 (define @t70 () (not (= tptp.sk_c7 @t48))) % 6.52/6.75 (define @t71 () (or @t70 @t69)) % 6.52/6.75 (define @t72 () (forall (@list @t45) @t71)) % 6.52/6.75 (define @t73 () (@list tptp.sk_c3)) % 6.52/6.75 (define @t74 () (@quantifiers_skolemize @t72 0)) % 6.52/6.75 (define @t75 () (tptp.inverse @t74)) % 6.52/6.75 (define @t76 () (= tptp.sk_c6 @t75)) % 6.52/6.75 (define @t77 () (not @t76)) % 6.52/6.75 (define @t78 () (tptp.multiply @t74 tptp.sk_c6)) % 6.52/6.75 (define @t79 () (= tptp.sk_c7 @t78)) % 6.52/6.75 (define @t80 () (not @t79)) % 6.52/6.75 (define @t81 () (or @t80 @t77)) % 6.52/6.75 (define @t82 () (not @t81)) % 6.52/6.75 (define @t83 () (not @t72)) % 6.52/6.75 (define @t84 () (@list tptp.sk_c1)) % 6.52/6.75 (define @t85 () (@list @t74)) % 6.52/6.75 (define @t86 () (= tptp.sk_c5 @t10)) % 6.52/6.75 (define @t87 () (tptp.multiply @t14 tptp.sk_c1)) % 6.52/6.75 (define @t88 () (= tptp.identity @t87)) % 6.52/6.75 (define @t89 () (tptp.multiply @t75 @t74)) % 6.52/6.75 (define @t90 () (= tptp.identity @t89)) % 6.52/6.75 (define @t91 () (tptp.multiply tptp.sk_c6 @t78)) % 6.52/6.75 (define @t92 () (tptp.multiply tptp.sk_c6 @t74)) % 6.52/6.75 (define @t93 () (tptp.multiply @t92 tptp.sk_c6)) % 6.52/6.75 (define @t94 () (= @t93 @t91)) % 6.52/6.75 (define @t95 () (tptp.multiply @t14 @t26)) % 6.52/6.75 (define @t96 () (tptp.multiply @t87 tptp.sk_c6)) % 6.52/6.75 (define @t97 () (= @t96 @t95)) % 6.52/6.75 (define @t98 () (tptp.multiply tptp.identity tptp.sk_c6)) % 6.52/6.75 (define @t99 () (= tptp.sk_c6 @t98)) % 6.52/6.75 (define @t100 () (tptp.multiply @t92 @t95)) % 6.52/6.75 (define @t101 () (tptp.multiply @t95 tptp.sk_c7)) % 6.52/6.75 (define @t102 () (= tptp.sk_c5 @t75)) % 6.52/6.75 (define @t103 () (and @t86 @t79 @t76 @t88 @t90 @t94 @t97 @t99)) % 6.52/6.75 (define @t104 () (not @t99)) % 6.52/6.75 (define @t105 () (not @t97)) % 6.52/6.75 (define @t106 () (not @t94)) % 6.52/6.75 (define @t107 () (not @t90)) % 6.52/6.75 (define @t108 () (not @t88)) % 6.52/6.75 (define @t109 () (not @t86)) % 6.52/6.75 (define @t110 () (= tptp.sk_c5 @t17)) % 6.52/6.75 (define @t111 () (and @t64 @t76 @t102)) % 6.52/6.75 (define @t112 () (not (= tptp.sk_c5 @t41))) % 6.52/6.75 (define @t113 () (not (= tptp.sk_c5 @t43))) % 6.52/6.75 (define @t114 () (or @t113 @t112)) % 6.52/6.75 (define @t115 () (forall (@list @t40) @t114)) % 6.52/6.75 (define @t116 () (= tptp.sk_c5 @t78)) % 6.52/6.75 (define @t117 () (not @t116)) % 6.52/6.75 (define @t118 () (not @t102)) % 6.52/6.75 (define @t119 () (or @t118 @t117)) % 6.52/6.75 (define @t120 () (= tptp.sk_c5 @t23)) % 6.52/6.75 (define @t121 () (not @t120)) % 6.52/6.75 (define @t122 () (= tptp.sk_c5 @t20)) % 6.52/6.75 (define @t123 () (not @t122)) % 6.52/6.75 (define @t124 () (or @t123 @t121)) % 6.52/6.75 (define @t125 () (@list tptp.sk_c2)) % 6.52/6.75 (define @t126 () (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) % 6.52/6.75 (define @t127 () (not @t126)) % 6.52/6.75 (define @t128 () (= tptp.sk_c5 @t32)) % 6.52/6.75 (define @t129 () (not @t128)) % 6.52/6.75 (define @t130 () (or @t129 @t127)) % 6.52/6.75 (define @t131 () (not (= tptp.sk_c6 @t51))) % 6.52/6.75 (define @t132 () (not (= tptp.sk_c6 @t53))) % 6.52/6.75 (define @t133 () (or @t132 @t131)) % 6.52/6.75 (define @t134 () (forall (@list @t50) @t133)) % 6.52/6.75 (define @t135 () (@quantifiers_skolemize @t134 0)) % 6.52/6.75 (define @t136 () (@list @t135)) % 6.52/6.75 (define @t137 () (tptp.multiply @t135 tptp.sk_c6)) % 6.52/6.75 (define @t138 () (= tptp.sk_c5 @t137)) % 6.52/6.75 (define @t139 () (not @t138)) % 6.52/6.75 (define @t140 () (tptp.inverse @t135)) % 6.52/6.75 (define @t141 () (= tptp.sk_c5 @t140)) % 6.52/6.75 (define @t142 () (not @t141)) % 6.52/6.75 (define @t143 () (or @t142 @t139)) % 6.52/6.75 (define @t144 () (= tptp.sk_c7 @t26)) % 6.52/6.75 (define @t145 () (not @t124)) % 6.52/6.75 (define @t146 () (@list false false)) % 6.52/6.75 (define @t147 () (@list @t120 @t122)) % 6.52/6.75 (define @t148 () (= tptp.sk_c7 @t14)) % 6.52/6.75 (define @t149 () (= tptp.sk_c6 @t32)) % 6.52/6.75 (define @t150 () (= tptp.sk_c6 @t36)) % 6.52/6.75 (define @t151 () (not @t150)) % 6.52/6.75 (define @t152 () (not @t149)) % 6.52/6.75 (define @t153 () (or @t152 @t151)) % 6.52/6.75 (define @t154 () (not @t153)) % 6.52/6.75 (define @t155 () (tptp.multiply @t135 tptp.sk_c5)) % 6.52/6.75 (define @t156 () (= tptp.sk_c6 @t155)) % 6.52/6.75 (define @t157 () (not @t156)) % 6.52/6.75 (define @t158 () (= tptp.sk_c6 @t140)) % 6.52/6.75 (define @t159 () (not @t158)) % 6.52/6.75 (define @t160 () (or @t159 @t157)) % 6.52/6.75 (define @t161 () (not @t160)) % 6.52/6.75 (define @t162 () (not @t134)) % 6.52/6.75 (define @t163 () (@quantifiers_skolemize @t115 0)) % 6.52/6.75 (define @t164 () (tptp.multiply @t163 @t135)) % 6.52/6.75 (define @t165 () (tptp.multiply @t87 @t135)) % 6.52/6.75 (define @t166 () (tptp.multiply tptp.sk_c1 @t135)) % 6.52/6.75 (define @t167 () (tptp.multiply @t14 @t166)) % 6.52/6.75 (define @t168 () (= @t165 @t167)) % 6.52/6.75 (define @t169 () (= @t167 @t165)) % 6.52/6.75 (define @t170 () (@list false)) % 6.52/6.75 (define @t171 () (@list @t9)) % 6.52/6.75 (define @t172 () (tptp.multiply @t163 tptp.sk_c6)) % 6.52/6.75 (define @t173 () (= tptp.sk_c5 @t172)) % 6.52/6.75 (define @t174 () (tptp.multiply @t140 @t135)) % 6.52/6.75 (define @t175 () (= tptp.identity @t174)) % 6.52/6.75 (define @t176 () (tptp.multiply tptp.sk_c5 tptp.sk_c7)) % 6.52/6.75 (define @t177 () (tptp.multiply @t135 @t176)) % 6.52/6.75 (define @t178 () (tptp.multiply @t155 tptp.sk_c7)) % 6.52/6.75 (define @t179 () (= @t178 @t177)) % 6.52/6.75 (define @t180 () (tptp.multiply @t163 @t155)) % 6.52/6.75 (define @t181 () (tptp.multiply @t164 tptp.sk_c5)) % 6.52/6.75 (define @t182 () (= @t181 @t180)) % 6.52/6.75 (define @t183 () (tptp.multiply @t26 tptp.sk_c7)) % 6.52/6.75 (define @t184 () (tptp.multiply @t14 @t183)) % 6.52/6.75 (define @t185 () (= @t101 @t184)) % 6.52/6.75 (define @t186 () (tptp.multiply tptp.sk_c6 @t95)) % 6.52/6.75 (define @t187 () (tptp.multiply tptp.sk_c6 @t14)) % 6.52/6.75 (define @t188 () (tptp.multiply @t187 @t26)) % 6.52/6.75 (define @t189 () (= @t188 @t186)) % 6.52/6.75 (define @t190 () (tptp.multiply @t163 @t95)) % 6.52/6.75 (define @t191 () (tptp.multiply (tptp.multiply @t163 @t14) @t26)) % 6.52/6.75 (define @t192 () (= @t191 @t190)) % 6.52/6.75 (define @t193 () (= @t135 (tptp.multiply tptp.identity @t135))) % 6.52/6.75 (define @t194 () (tptp.multiply tptp.identity @t164)) % 6.52/6.75 (define @t195 () (= @t164 @t194)) % 6.52/6.75 (define @t196 () (tptp.multiply @t135 @t172)) % 6.52/6.75 (define @t197 () (tptp.multiply @t155 @t196)) % 6.52/6.75 (define @t198 () (tptp.multiply @t155 @t135)) % 6.52/6.75 (define @t199 () (tptp.multiply @t198 @t172)) % 6.52/6.75 (define @t200 () (= @t199 @t197)) % 6.52/6.75 (define @t201 () (tptp.multiply tptp.identity @t181)) % 6.52/6.75 (define @t202 () (tptp.multiply @t194 tptp.sk_c5)) % 6.52/6.75 (define @t203 () (= @t202 @t201)) % 6.52/6.75 (define @t204 () (tptp.multiply @t167 tptp.sk_c5)) % 6.52/6.75 (define @t205 () (tptp.multiply @t135 @t184)) % 6.52/6.75 (define @t206 () (tptp.multiply tptp.sk_c6 @t135)) % 6.52/6.75 (define @t207 () (tptp.multiply @t135 @t191)) % 6.52/6.75 (define @t208 () (tptp.multiply tptp.sk_c6 tptp.sk_c6)) % 6.52/6.75 (define @t209 () (tptp.multiply @t155 @t12)) % 6.52/6.75 (define @t210 () (and @t86 @t148 @t66 @t144 @t173 @t158 @t156 @t88 @t175 @t179 @t182 @t97 @t185 @t189 @t192 @t193 @t195 @t169 @t99 @t200 @t203)) % 6.52/6.75 (define @t211 () (not @t203)) % 6.52/6.75 (define @t212 () (not @t200)) % 6.52/6.75 (define @t213 () (not @t169)) % 6.52/6.75 (define @t214 () (not @t195)) % 6.52/6.75 (define @t215 () (not @t193)) % 6.52/6.75 (define @t216 () (not @t192)) % 6.52/6.75 (define @t217 () (not @t189)) % 6.52/6.75 (define @t218 () (not @t185)) % 6.52/6.75 (define @t219 () (not @t182)) % 6.52/6.75 (define @t220 () (not @t179)) % 6.52/6.75 (define @t221 () (not @t175)) % 6.52/6.75 (define @t222 () (not @t173)) % 6.52/6.75 (define @t223 () (not @t144)) % 6.52/6.75 (define @t224 () (not @t148)) % 6.52/6.75 (define @t225 () (tptp.multiply @t167 tptp.sk_c6)) % 6.52/6.75 (define @t226 () (not @t143)) % 6.52/6.75 (define @t227 () (not @t119)) % 6.52/6.75 (define @t228 () (= tptp.sk_c7 @t75)) % 6.52/6.75 (define @t229 () (not @t228)) % 6.52/6.75 (define @t230 () (= false true)) % 6.52/6.75 (define @t231 () (and @t99 @t76 @t102 @t228 @t79 @t117)) % 6.52/6.75 (define @t232 () (tptp.multiply @t135 @t163)) % 6.52/6.75 (define @t233 () (= tptp.identity (tptp.multiply @t17 tptp.sk_c3))) % 6.52/6.75 (define @t234 () (tptp.multiply @t232 tptp.sk_c6)) % 6.52/6.75 (define @t235 () (= @t234 @t196)) % 6.52/6.75 (define @t236 () (= @t74 (tptp.multiply tptp.identity @t74))) % 6.52/6.75 (define @t237 () (tptp.multiply @t232 @t95)) % 6.52/6.75 (define @t238 () (= (tptp.multiply (tptp.multiply @t232 @t14) @t26) @t237)) % 6.52/6.75 (define @t239 () (tptp.multiply tptp.identity @t232)) % 6.52/6.75 (define @t240 () (= @t232 @t239)) % 6.52/6.75 (define @t241 () (tptp.multiply @t155 tptp.sk_c3)) % 6.52/6.75 (define @t242 () (tptp.multiply @t241 tptp.sk_c6)) % 6.52/6.75 (define @t243 () (= @t242 @t209)) % 6.52/6.75 (define @t244 () (tptp.multiply @t239 tptp.sk_c6)) % 6.52/6.75 (define @t245 () (= @t244 (tptp.multiply tptp.identity @t234))) % 6.52/6.75 (define @t246 () (tptp.multiply @t180 @t135)) % 6.52/6.75 (define @t247 () (= @t246 (tptp.multiply @t163 @t198))) % 6.52/6.75 (define @t248 () (tptp.multiply @t92 @t74)) % 6.52/6.75 (define @t249 () (tptp.multiply tptp.sk_c6 @t248)) % 6.52/6.75 (define @t250 () (= (tptp.multiply (tptp.multiply tptp.sk_c6 @t92) @t74) @t249)) % 6.52/6.75 (define @t251 () (tptp.multiply @t17 @t241)) % 6.52/6.75 (define @t252 () (= (tptp.multiply (tptp.multiply @t17 @t155) tptp.sk_c3) @t251)) % 6.52/6.75 (define @t253 () (tptp.multiply @t163 @t92)) % 6.52/6.75 (define @t254 () (tptp.multiply @t253 @t74)) % 6.52/6.75 (define @t255 () (= @t254 (tptp.multiply @t163 @t248))) % 6.52/6.75 (define @t256 () (tptp.multiply @t155 @t198)) % 6.52/6.75 (define @t257 () (= (tptp.multiply (tptp.multiply @t155 @t155) @t135) @t256)) % 6.52/6.75 (define @t258 () (tptp.multiply tptp.sk_c6 tptp.sk_c3)) % 6.52/6.75 (define @t259 () (tptp.multiply @t95 tptp.sk_c3)) % 6.52/6.75 (define @t260 () (tptp.multiply @t95 @t74)) % 6.52/6.75 (define @t261 () (tptp.multiply @t198 @t74)) % 6.52/6.75 (define @t262 () (tptp.multiply @t140 @t155)) % 6.52/6.75 (define @t263 () (tptp.multiply @t95 @t155)) % 6.52/6.75 (define @t264 () (tptp.multiply @t163 @t74)) % 6.52/6.75 (define @t265 () (tptp.multiply @t74 tptp.sk_c5)) % 6.52/6.75 (define @t266 () (and @t86 @t66 @t64 @t173 @t79 @t76 @t158 @t156 @t88 @t233 @t90 @t175 @t182 @t235 @t97 @t236 @t185 @t189 @t192 @t238 @t193 @t195 @t240 @t169 @t99 @t243 @t200 @t245 @t203 @t247 @t250 @t252 @t255 @t257)) % 6.52/6.75 (define @t267 () (not @t243)) % 6.52/6.75 (define @t268 () (not @t240)) % 6.52/6.75 (define @t269 () (not @t238)) % 6.52/6.75 (define @t270 () (not @t235)) % 6.52/6.75 (define @t271 () (not @t233)) % 6.52/6.75 (define @t272 () (= tptp.sk_c6 @t265)) % 6.52/6.75 (define @t273 () (not @t272)) % 6.52/6.75 (define @t274 () (or @t77 @t273)) % 6.52/6.75 (define @t275 () (tptp.multiply tptp.sk_c1 @t10)) % 6.52/6.75 (define @t276 () (= @t183 @t275)) % 6.52/6.75 (define @t277 () (tptp.multiply tptp.sk_c1 tptp.sk_c5)) % 6.52/6.75 (define @t278 () (and @t86 @t148 @t144 @t79 @t76 @t88 @t90 @t94 @t97 @t99 @t276)) % 6.52/6.75 (define @t279 () (not @t276)) % 6.52/6.75 (define @t280 () (tptp.multiply @t155 @t14)) % 6.52/6.75 (define @t281 () (and @t86 @t148 @t144 @t149 @t173 @t158 @t156 @t88 @t175 @t179 @t182 @t97 @t185 @t189 @t192 @t193 @t195 @t169 @t99 @t200 @t203)) % 6.52/6.75 (define @t282 () (and @t86 @t148 @t144 @t150 @t173 @t158 @t156 @t88 @t175 @t179 @t182 @t97 @t185 @t189 @t192 @t193 @t195 @t169 @t99 @t200 @t203)) % 6.52/6.75 (define @t283 () (not @t115)) % 6.52/6.75 (define @t284 () (tptp.inverse @t163)) % 6.52/6.75 (define @t285 () (= tptp.sk_c5 @t284)) % 6.52/6.75 (define @t286 () (not @t285)) % 6.52/6.75 (define @t287 () (or @t286 @t222)) % 6.52/6.75 (define @t288 () (not @t287)) % 6.52/6.75 (define @t289 () (@list @t163)) % 6.52/6.75 (define @t290 () (= tptp.sk_c6 (tptp.multiply @t163 tptp.sk_c5))) % 6.52/6.75 (define @t291 () (not @t290)) % 6.52/6.75 (define @t292 () (= tptp.sk_c6 @t284)) % 6.52/6.75 (define @t293 () (not @t292)) % 6.52/6.75 (define @t294 () (or @t293 @t291)) % 6.52/6.75 (define @t295 () (and @t86 @t285 @t79 @t76 @t88 @t90 @t94 @t97 @t99)) % 6.52/6.75 (define @t296 () (and @t86 @t173 @t79 @t76 @t88 @t90 @t94 @t97 @t99)) % 6.52/6.75 (define @t297 () (not @t294)) % 6.52/6.75 (define @t298 () (= tptp.sk_c7 @t172)) % 6.52/6.75 (define @t299 () (not @t298)) % 6.52/6.75 (define @t300 () (= tptp.sk_c7 @t284)) % 6.52/6.75 (define @t301 () (not @t300)) % 6.52/6.75 (define @t302 () (or @t301 @t299)) % 6.52/6.75 (define @t303 () (not @t302)) % 6.52/6.75 (define @t304 () (and @t285 @t173 @t298)) % 6.52/6.75 (define @t305 () (@list true)) % 6.52/6.75 (define @t306 () (= tptp.sk_c7 @t208)) % 6.52/6.75 (define @t307 () (not @t306)) % 6.52/6.75 (define @t308 () (not @t299)) % 6.52/6.75 (define @t309 () (= tptp.sk_c5 @t208)) % 6.52/6.75 (define @t310 () (and @t86 @t173 @t158 @t156 @t88 @t175 @t182 @t235 @t299 @t97 @t185 @t192 @t238 @t193 @t195 @t240 @t169 @t99 @t200 @t203)) % 6.52/6.75 (define @t311 () (and @t86 @t148 @t144 @t173 @t158 @t156 @t88 @t175 @t179 @t182 @t235 @t97 @t185 @t189 @t192 @t238 @t193 @t195 @t240 @t169 @t99 @t200 @t203 @t276)) % 6.52/6.75 (define @t312 () (not (= tptp.sk_c7 @t56))) % 6.52/6.75 (define @t313 () (not (= tptp.sk_c7 @t58))) % 6.52/6.75 (define @t314 () (or @t313 @t312)) % 6.52/6.75 (define @t315 () (forall (@list @t55) @t314)) % 6.52/6.75 (define @t316 () (or @t109 @t314 @t133 @t71 @t114)) % 6.52/6.75 (define @t317 () (or @t109 @t313 @t312 @t132 @t131 @t70 @t69 @t113 @t112)) % 6.52/6.75 (define @t318 () (or @t229 @t80)) % 6.52/6.75 (define @t319 () (= tptp.sk_c7 @t137)) % 6.52/6.75 (define @t320 () (not @t319)) % 6.52/6.75 (define @t321 () (or @t320 @t159)) % 6.52/6.75 (define @t322 () (not @t321)) % 6.52/6.75 (define @t323 () (and @t285 @t300 @t320)) % 6.52/6.75 (define @t324 () (or @t299 @t293)) % 6.52/6.75 (define @t325 () (and @t86 @t128 @t149 @t285 @t300 @t148 @t293)) % 6.52/6.75 (define @t326 () (= tptp.sk_c5 @t12)) % 6.52/6.75 (define @t327 () (not @t326)) % 6.52/6.75 (define @t328 () (not @t110)) % 6.52/6.75 (define @t329 () (or @t328 @t327)) % 6.52/6.75 (define @t330 () (@list @t115)) % 6.52/6.75 (define @t331 () (@list @t124)) % 6.52/6.75 (define @t332 () (tptp.multiply tptp.sk_c1 @t280)) % 6.52/6.75 (define @t333 () (and @t86 @t148 @t66 @t64 @t144 @t156 @t88 @t233 @t97 @t99 @t243 @t276)) % 6.52/6.75 (define @t334 () (tptp.multiply @t74 @t155)) % 6.52/6.75 (define @t335 () (tptp.multiply (tptp.multiply @t74 @t135) tptp.sk_c5)) % 6.52/6.75 (define @t336 () (= @t335 @t334)) % 6.52/6.75 (define @t337 () (tptp.multiply @t166 tptp.sk_c5)) % 6.52/6.75 (define @t338 () (tptp.multiply @t14 @t337)) % 6.52/6.75 (define @t339 () (= @t204 @t338)) % 6.52/6.75 (define @t340 () (and @t86 @t148 @t144 @t79 @t76 @t156 @t88 @t90 @t94 @t336 @t97 @t339 @t193 @t169 @t99 @t276)) % 6.52/6.75 (define @t341 () (tptp.multiply @t26 tptp.sk_c2)) % 6.52/6.75 (define @t342 () (tptp.multiply @t166 @t14)) % 6.52/6.75 (define @t343 () (tptp.multiply @t26 @t14)) % 6.52/6.75 (define @t344 () (tptp.multiply @t167 @t14)) % 6.52/6.75 (define @t345 () (tptp.multiply @t14 @t342)) % 6.52/6.75 (define @t346 () (= @t344 @t345)) % 6.52/6.75 (define @t347 () (= @t345 @t344)) % 6.52/6.75 (define @t348 () (tptp.multiply @t342 @t26)) % 6.52/6.75 (define @t349 () (tptp.multiply @t14 @t348)) % 6.52/6.75 (define @t350 () (tptp.multiply @t349 @t26)) % 6.52/6.75 (define @t351 () (tptp.multiply @t350 tptp.sk_c2)) % 6.52/6.75 (define @t352 () (tptp.multiply @t349 @t341)) % 6.52/6.75 (define @t353 () (= @t351 @t352)) % 6.52/6.75 (define @t354 () (@list @t349 @t26 tptp.sk_c2)) % 6.52/6.75 (define @t355 () (= @t352 @t351)) % 6.52/6.75 (define @t356 () (tptp.multiply @t341 tptp.sk_c7)) % 6.52/6.75 (define @t357 () (tptp.multiply @t135 @t14)) % 6.52/6.75 (define @t358 () (tptp.multiply @t352 tptp.sk_c7)) % 6.52/6.75 (define @t359 () (tptp.multiply @t349 @t356)) % 6.52/6.75 (define @t360 () (= @t358 @t359)) % 6.52/6.75 (define @t361 () (@list @t349 @t341 tptp.sk_c7)) % 6.52/6.75 (define @t362 () (= @t359 @t358)) % 6.52/6.75 (define @t363 () (= tptp.identity (tptp.multiply @t32 tptp.sk_c2))) % 6.52/6.75 (define @t364 () (tptp.multiply tptp.sk_c1 @t155)) % 6.52/6.75 (define @t365 () (= @t337 @t364)) % 6.52/6.75 (define @t366 () (tptp.multiply @t14 @t341)) % 6.52/6.75 (define @t367 () (tptp.multiply @t95 tptp.sk_c2)) % 6.52/6.75 (define @t368 () (= @t367 @t366)) % 6.52/6.75 (define @t369 () (tptp.multiply @t135 @t95)) % 6.52/6.75 (define @t370 () (tptp.multiply @t357 @t26)) % 6.52/6.75 (define @t371 () (= @t370 @t369)) % 6.52/6.75 (define @t372 () (tptp.multiply tptp.identity tptp.sk_c2)) % 6.52/6.75 (define @t373 () (= tptp.sk_c2 @t372)) % 6.52/6.75 (define @t374 () (tptp.multiply @t366 tptp.sk_c7)) % 6.52/6.75 (define @t375 () (= @t374 (tptp.multiply @t14 @t356))) % 6.52/6.75 (define @t376 () (tptp.multiply @t342 @t343)) % 6.52/6.75 (define @t377 () (= (tptp.multiply @t348 @t14) @t376)) % 6.52/6.75 (define @t378 () (tptp.multiply @t187 @t341)) % 6.52/6.75 (define @t379 () (= @t378 (tptp.multiply tptp.sk_c6 @t366))) % 6.52/6.75 (define @t380 () (tptp.multiply @t345 @t26)) % 6.52/6.75 (define @t381 () (= @t380 @t349)) % 6.52/6.75 (define @t382 () (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) % 6.52/6.75 (define @t383 () (tptp.multiply @t14 @t343)) % 6.52/6.75 (define @t384 () (tptp.multiply @t166 @t383)) % 6.52/6.75 (define @t385 () (= @t376 @t384)) % 6.52/6.75 (define @t386 () (tptp.multiply tptp.sk_c1 @t167)) % 6.52/6.75 (define @t387 () (tptp.multiply (tptp.multiply tptp.sk_c1 @t14) @t166)) % 6.52/6.75 (define @t388 () (= @t387 @t386)) % 6.52/6.75 (define @t389 () (= (tptp.multiply @t357 @t183) @t205)) % 6.52/6.75 (define @t390 () (tptp.multiply tptp.identity tptp.sk_c1)) % 6.52/6.75 (define @t391 () (= tptp.sk_c1 @t390)) % 6.52/6.75 (define @t392 () (tptp.multiply @t26 @t356)) % 6.52/6.75 (define @t393 () (tptp.multiply @t357 @t392)) % 6.52/6.75 (define @t394 () (= (tptp.multiply @t370 @t356) @t393)) % 6.52/6.75 (define @t395 () (tptp.multiply @t357 @t343)) % 6.52/6.75 (define @t396 () (= (tptp.multiply @t370 @t14) @t395)) % 6.52/6.75 (define @t397 () (tptp.multiply @t166 @t187)) % 6.52/6.75 (define @t398 () (tptp.multiply @t397 @t341)) % 6.52/6.75 (define @t399 () (= @t398 (tptp.multiply @t166 @t378))) % 6.52/6.75 (define @t400 () (tptp.multiply @t155 tptp.sk_c2)) % 6.52/6.75 (define @t401 () (tptp.multiply @t155 @t366)) % 6.52/6.75 (define @t402 () (and @t86 @t148 @t144 @t149 @t156 @t88 @t363 @t365 @t97 @t185 @t368 @t371 @t373 @t193 @t375 @t377 @t379 @t381 @t169 @t99 @t382 @t385 @t388 @t389 @t347 @t391 @t355 @t394 @t396 @t362 @t399)) % 6.52/6.75 (define @t403 () (@list @t66)) % 6.52/6.75 (define @t404 () (@list @t160)) % 6.52/6.75 (assume @p1 @t4) % 6.52/6.75 (assume @p2 @t6) % 6.52/6.75 (assume @p3 @t9) % 6.52/6.75 (assume @p4 @t11) % 6.52/6.75 (assume @p5 @t16) % 6.52/6.75 (assume @p6 @t19) % 6.52/6.75 (assume @p7 @t22) % 6.52/6.75 (assume @p8 @t25) % 6.52/6.75 (assume @p9 @t28) % 6.52/6.75 (assume @p10 @t29) % 6.52/6.75 (assume @p11 @t30) % 6.52/6.75 (assume @p12 @t31) % 6.52/6.75 (assume @p13 @t34) % 6.52/6.75 (assume @p14 @t35) % 6.52/6.75 (assume @p15 (or @t33 @t21)) % 6.52/6.75 (assume @p16 (or @t33 @t24)) % 6.52/6.75 (assume @p17 @t38) % 6.52/6.75 (assume @p18 @t39) % 6.52/6.75 (assume @p19 (or @t37 @t21)) % 6.52/6.75 (assume @p20 (or @t37 @t24)) % 6.52/6.75 (assume @p21 @t63) % 6.52/6.75 (step @p22 :rule cnf_or_pos :args (@t68)) % 6.52/6.75 (step @p23 :rule reordering :premises (@p22) :args ((or @t67 @t65 (not @t68)))) % 6.52/6.75 (assume-push @p2302 @t72) % 6.52/6.75 (step @p25 :rule instantiate :premises (@p2302) :args (@t73)) % 6.52/6.75 (step-pop @p2303 :rule scope :premises (@p25)) % 6.52/6.75 (step @p26 :rule process_scope :premises (@p2303) :args (@t68)) % 6.52/6.75 (step @p28 :rule implies_elim :premises (@p26)) % 6.52/6.75 (step @p29 :rule refl :args (@t82)) % 6.52/6.75 (step @p30 :rule bool-double-not-elim :args (@t72)) % 6.52/6.75 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t83) @t82))) % 6.52/6.75 (assume-push @p2304 @t83) % 6.52/6.75 (step @p33 :rule skolemize :premises (@p2304)) % 6.52/6.75 (step-pop @p2305 :rule scope :premises (@p33)) % 6.52/6.75 (step @p34 :rule process_scope :premises (@p2305) :args (@t82)) % 6.52/6.75 (step @p36 :rule implies_elim :premises (@p34)) % 6.52/6.75 (step @p37 :rule eq_resolve :premises (@p36 @p31)) % 6.52/6.75 (step @p38 :rule bool-double-not-elim :args (@t79)) % 6.52/6.75 (step @p39 :rule refl :args (@t81)) % 6.52/6.75 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t81 (not @t80)))) % 6.52/6.75 (step @p41 :rule cnf_or_neg :args (@t81 0)) % 6.52/6.75 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 6.52/6.75 (step @p43 :rule reordering :premises (@p42) :args ((or @t79 @t81))) % 6.52/6.75 (step @p44 :rule bool-double-not-elim :args (@t76)) % 6.52/6.75 (step @p45 :rule nary_cong :premises (@p39 @p44) :args ((or @t81 (not @t77)))) % 6.52/6.75 (step @p46 :rule cnf_or_neg :args (@t81 1)) % 6.52/6.75 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 6.52/6.75 (step @p48 :rule reordering :premises (@p47) :args ((or @t76 @t81))) % 6.52/6.75 (step @p49 :rule symm :premises (@p4)) % 6.52/6.75 (step @p50 :rule eq-symm :args (@t5 tptp.identity)) % 6.52/6.75 (step @p51 :rule cong :premises (@p50) :args (@t6)) % 6.52/6.75 (step @p52 :rule eq_resolve :premises (@p2 @p51)) % 6.52/6.75 (step @p53 :rule instantiate :premises (@p52) :args (@t84)) % 6.52/6.75 (step @p54 :rule instantiate :premises (@p52) :args (@t85)) % 6.52/6.75 (step @p55 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 @t74 tptp.sk_c6))) % 6.52/6.75 (step @p56 :rule instantiate :premises (@p3) :args ((@list @t14 tptp.sk_c1 tptp.sk_c6))) % 6.52/6.75 (step @p57 :rule eq-symm :args (@t2 @t1)) % 6.52/6.75 (step @p58 :rule cong :premises (@p57) :args (@t4)) % 6.52/6.75 (step @p59 :rule eq_resolve :premises (@p1 @p58)) % 6.52/6.75 (step @p60 :rule instantiate :premises (@p59) :args ((@list tptp.sk_c6))) % 6.52/6.75 (assume-push @p2306 @t86) % 6.52/6.75 (assume-push @p2307 @t79) % 6.52/6.75 (assume-push @p2308 @t76) % 6.52/6.75 (assume-push @p2309 @t88) % 6.52/6.75 (assume-push @p2310 @t90) % 6.52/6.75 (assume-push @p2311 @t94) % 6.52/6.75 (assume-push @p2312 @t97) % 6.52/6.75 (assume-push @p2313 @t99) % 6.52/6.75 (assume-push @p2314 @t76) % 6.52/6.75 (assume-push @p2315 @t99) % 6.52/6.75 (assume-push @p2316 @t88) % 6.52/6.75 (assume-push @p2317 @t90) % 6.52/6.75 (assume-push @p2318 @t97) % 6.52/6.75 (assume-push @p2319 @t94) % 6.52/6.75 (assume-push @p2320 @t79) % 6.52/6.75 (assume-push @p2321 @t86) % 6.52/6.75 (step @p77 :rule symm :premises (@p60)) % 6.52/6.75 (step @p78 :rule refl :args (tptp.sk_c6)) % 6.52/6.75 (step @p79 :rule symm :premises (@p53)) % 6.52/6.75 (step @p80 :rule cong :premises (@p79 @p78) :args (@t96)) % 6.52/6.75 (step @p81 :rule symm :premises (@p56)) % 6.52/6.75 (step @p82 :rule trans :premises (@p81 @p80 @p77)) % 6.52/6.75 (step @p83 :rule symm :premises (@p54)) % 6.52/6.75 (step @p84 :rule refl :args (@t74)) % 6.52/6.75 (step @p85 :rule cong :premises (@p2308 @p84) :args (@t92)) % 6.52/6.75 (step @p86 :rule trans :premises (@p85 @p83 @p53)) % 6.52/6.75 (step @p87 :rule trans :premises (@p86 @p79)) % 6.52/6.75 (step @p88 :rule cong :premises (@p87 @p82) :args (@t100)) % 6.52/6.75 (step @p89 :rule symm :premises (@p82)) % 6.52/6.75 (step @p90 :rule refl :args (@t92)) % 6.52/6.75 (step @p91 :rule cong :premises (@p90 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@p1679 :rule eq-symm :args (@t10 tptp.sk_c5)) % 6.52/6.76 (step @p1680 :rule cong :premises (@p1679) :args (@t60)) % 6.52/6.76 (step @p1681 :rule nary_cong :premises (@p1680 @p1678 @p1676 @p1674 @p1672 @p1670 @p1668 @p1666 @p1664) :args (@t61)) % 6.52/6.76 (step @p1682 :rule cong :premises (@p1681) :args (@t63)) % 6.52/6.76 (step @p1683 :rule trans :premises (@p1682 @p1662)) % 6.52/6.76 (step @p1684 :rule eq_resolve :premises (@p21 @p1683)) % 6.52/6.76 (assume-push @p3204 @t315) % 6.52/6.76 (step @p1686 :rule instantiate :premises (@p3204) :args (@t85)) % 6.52/6.76 (step-pop @p3205 :rule scope :premises (@p1686)) % 6.52/6.76 (step @p1687 :rule process_scope :premises (@p3205) :args (@t318)) % 6.52/6.76 (step @p1689 :rule implies_elim :premises (@p1687)) % 6.52/6.76 (step @p1690 :rule cnf_or_pos :args (@t318)) % 6.52/6.76 (step @p1691 :rule reordering :premises (@p1690) :args ((or @t80 @t229 (not @t318)))) % 6.52/6.76 (step @p1692 :rule chain_m_resolution :premises (@p871 @p602 @p601 @p600 @p599 @p598 @p241 @p597 @p240 @p596 @p60 @p239 @p595 @p229 @p228 @p594 @p227 @p226 @p225 @p593 @p56 @p592 @p224 @p222 @p54 @p591 @p53 @p49 @p1691 @p1689 @p48 @p43 @p1684 @p49 @p37 @p28 @p23 @p216 @p221 @p210) :args ((or @t134 @t115 @t67 @t65 @t222) (@list 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 false false false false false true true true false false true) (@list @t257 @t255 @t252 @t250 @t247 @t203 @t245 @t200 @t243 @t99 @t169 @t240 @t195 @t193 @t238 @t192 @t189 @t185 @t236 @t97 @t235 @t182 @t175 @t90 @t233 @t88 @t86 @t228 @t318 @t76 @t79 @t315 @t86 @t81 @t72 @t68 @t158 @t156 @t160))) % 6.52/6.76 (step @p1693 :rule chain_m_resolution :premises (@p1657 @p880 @p241 @p240 @p60 @p239 @p595 @p229 @p228 @p594 @p227 @p226 @p225 @p56 @p592 @p224 @p223 @p222 @p53 @p49 @p185 @p182 @p1692 @p1658 @p1507 @p241 @p240 @p60 @p239 @p595 @p229 @p228 @p594 @p227 @p225 @p56 @p592 @p224 @p222 @p53 @p49 @p221 @p216 @p210 @p1332 @p1364 @p1359 @p1334) :args ((or @t286 @t222 @t303) (@list false false false false false false false false false false false false false false false false false false false false false true false true false false false false false false false false false false false false false false false false false false true true true true true) (@list @t276 @t203 @t200 @t99 @t169 @t240 @t195 @t193 @t238 @t192 @t189 @t185 @t97 @t235 @t182 @t179 @t175 @t88 @t86 @t144 @t148 @t64 @t66 @t306 @t203 @t200 @t99 @t169 @t240 @t195 @t193 @t238 @t192 @t185 @t97 @t235 @t182 @t175 @t88 @t86 @t156 @t158 @t160 @t134 @t115 @t298 @t287))) % 6.52/6.76 (step @p1694 :rule bool-double-not-elim :args (@t300)) % 6.52/6.76 (step @p1695 :rule refl :args (@t302)) % 6.52/6.76 (step @p1696 :rule nary_cong :premises (@p1695 @p1694) :args ((or @t302 (not @t301)))) % 6.52/6.76 (step @p1697 :rule cnf_or_neg :args (@t302 0)) % 6.52/6.76 (step @p1698 :rule eq_resolve :premises (@p1697 @p1696)) % 6.52/6.76 (step @p1699 :rule reordering :premises (@p1698) :args ((or @t300 @t302))) % 6.52/6.76 (assume-push @p3206 @t315) % 6.52/6.76 (step @p1701 :rule instantiate :premises (@p3206) :args (@t289)) % 6.52/6.76 (step-pop @p3207 :rule scope :premises (@p1701)) % 6.52/6.76 (step @p1702 :rule process_scope :premises (@p3207) :args (@t302)) % 6.52/6.76 (step @p1704 :rule implies_elim :premises (@p1702)) % 6.52/6.76 (assume-push @p3208 @t72) % 6.52/6.76 (step @p1706 :rule instantiate :premises (@p3208) :args (@t136)) % 6.52/6.76 (step-pop @p3209 :rule scope :premises (@p1706)) % 6.52/6.76 (step @p1707 :rule process_scope :premises (@p3209) :args (@t321)) % 6.52/6.76 (step @p1709 :rule implies_elim :premises (@p1707)) % 6.52/6.76 (step @p1710 :rule cnf_or_pos :args (@t321)) % 6.52/6.76 (step @p1711 :rule reordering :premises (@p1710) :args ((or @t159 @t320 @t322))) % 6.52/6.76 (step @p1712 :rule refl :args (@t139)) % 6.52/6.76 (step @p1713 :rule bool-double-not-elim :args (@t319)) % 6.52/6.76 (step @p1714 :rule refl :args (@t301)) % 6.52/6.76 (step @p1715 :rule refl :args (@t286)) % 6.52/6.76 (step @p1716 :rule nary_cong :premises (@p1715 @p1714 @p1713 @p1712) :args ((or @t286 @t301 (not @t320) @t139))) % 6.52/6.76 (assume-push @p3210 @t285) % 6.52/6.76 (assume-push @p3211 @t300) % 6.52/6.76 (assume-push @p3212 @t320) % 6.52/6.76 (assume-push @p3213 @t320) % 6.52/6.76 (assume-push @p3214 @t300) % 6.52/6.76 (assume-push @p3215 @t285) % 6.52/6.76 (step @p1723 :rule false_intro :premises (@p3212)) % 6.52/6.76 (step @p1724 :rule refl :args (@t137)) % 6.52/6.76 (step @p1725 :rule symm :premises (@p3211)) % 6.52/6.76 (step @p1726 :rule trans :premises (@p3210 @p1725)) % 6.52/6.76 (step @p1727 :rule cong :premises (@p1726 @p1724) :args (@t138)) % 6.52/6.76 (step @p1728 :rule trans :premises (@p1727 @p1723)) % 6.52/6.76 (step @p1729 :rule false_elim :premises (@p1728)) % 6.52/6.76 (step-pop @p3216 :rule scope :premises (@p1729)) % 6.52/6.76 (step-pop @p3217 :rule scope :premises (@p3216)) % 6.52/6.76 (step-pop @p3218 :rule scope :premises (@p3217)) % 6.52/6.76 (step @p1730 :rule process_scope :premises (@p3218) :args (@t139)) % 6.52/6.76 (step @p1734 :rule and_intro :premises (@p3212 @p3211 @p3210)) % 6.52/6.76 (step @p1735 :rule modus_ponens :premises (@p1734 @p1730)) % 6.52/6.76 (step-pop @p3219 :rule scope :premises (@p1735)) % 6.52/6.76 (step-pop @p3220 :rule scope :premises (@p3219)) % 6.52/6.76 (step-pop @p3221 :rule scope :premises (@p3220)) % 6.52/6.76 (step @p1736 :rule process_scope :premises (@p3221) :args (@t139)) % 6.52/6.76 (step @p1740 :rule implies_elim :premises (@p1736)) % 6.52/6.76 (step @p1741 :rule cnf_and_neg :args (@t323)) % 6.52/6.76 (step @p1742 :rule resolution :premises (@p1741 @p1740) :args (true @t323)) % 6.52/6.76 (step @p1743 :rule eq_resolve :premises (@p1742 @p1716)) % 6.52/6.76 (step @p1744 :rule bool-double-not-elim :args (@t138)) % 6.52/6.76 (step @p1745 :rule refl :args (@t143)) % 6.52/6.76 (step @p1746 :rule nary_cong :premises (@p1745 @p1744) :args ((or @t143 (not @t139)))) % 6.52/6.76 (step @p1747 :rule cnf_or_neg :args (@t143 1)) % 6.52/6.76 (step @p1748 :rule eq_resolve :premises (@p1747 @p1746)) % 6.52/6.76 (step @p1749 :rule reordering :premises (@p1748) :args ((or @t138 @t143))) % 6.52/6.76 (assume-push @p3222 @t72) % 6.52/6.76 (step @p1751 :rule instantiate :premises (@p3222) :args (@t289)) % 6.52/6.76 (step-pop @p3223 :rule scope :premises (@p1751)) % 6.52/6.76 (step @p1752 :rule process_scope :premises (@p3223) :args (@t324)) % 6.52/6.76 (step @p1754 :rule implies_elim :premises (@p1752)) % 6.52/6.76 (step @p1755 :rule nary_cong :premises (@p1695 @p1375) :args ((or @t302 @t308))) % 6.52/6.76 (step @p1756 :rule cnf_or_neg :args (@t302 1)) % 6.52/6.76 (step @p1757 :rule eq_resolve :premises (@p1756 @p1755)) % 6.52/6.76 (step @p1758 :rule reordering :premises (@p1757) :args ((or @t298 @t302))) % 6.52/6.76 (step @p1759 :rule cnf_or_pos :args (@t324)) % 6.52/6.76 (step @p1760 :rule reordering :premises (@p1759) :args ((or @t299 @t293 (not @t324)))) % 6.52/6.76 (step @p1761 :rule refl :args (@t129)) % 6.52/6.76 (step @p1762 :rule bool-double-not-elim :args (@t292)) % 6.52/6.76 (step @p1763 :rule refl :args (@t152)) % 6.52/6.76 (step @p1764 :rule refl :args (@t224)) % 6.52/6.76 (step @p1765 :rule nary_cong :premises (@p518 @p1764 @p1763 @p1715 @p1714 @p1762 @p1761) :args ((or @t109 @t224 @t152 @t286 @t301 (not @t293) @t129))) % 6.52/6.76 (assume-push @p3224 @t86) % 6.52/6.76 (assume-push @p3225 @t128) % 6.52/6.76 (assume-push @p3226 @t149) % 6.52/6.76 (assume-push @p3227 @t285) % 6.52/6.76 (assume-push @p3228 @t300) % 6.52/6.76 (assume-push @p3229 @t148) % 6.52/6.76 (assume-push @p3230 @t293) % 6.52/6.76 (step @p526 :rule evaluate :args (@t230)) % 6.52/6.76 (step @p1773 :rule symm :premises (@p3228)) % 6.52/6.76 (step @p1774 :rule trans :premises (@p1773 @p3229)) % 6.52/6.76 (step @p1775 :rule symm :premises (@p1774)) % 6.52/6.76 (step @p1776 :rule symm :premises (@p3227)) % 6.52/6.76 (step @p1777 :rule symm :premises (@p3229)) % 6.52/6.76 (step @p1778 :rule trans :premises (@p1777 @p3228 @p1776 @p49)) % 6.52/6.76 (step @p1779 :rule symm :premises (@p1778)) % 6.52/6.76 (step @p1780 :rule symm :premises (@p3225)) % 6.52/6.76 (step @p1781 :rule trans :premises (@p3226 @p1780)) % 6.52/6.76 (step @p1782 :rule trans :premises (@p1781 @p49 @p1779 @p1775)) % 6.52/6.76 (step @p1783 :rule true_intro :premises (@p1782)) % 6.52/6.76 (step @p1784 :rule false_intro :premises (@p3230)) % 6.52/6.76 (step @p1785 :rule symm :premises (@p1784)) % 6.52/6.76 (step @p1786 :rule trans :premises (@p1785 @p1783)) % 6.52/6.76 (step @p1787 false :rule eq_resolve :premises (@p1786 @p526)) % 6.52/6.76 (step-pop @p3231 :rule scope :premises (@p1787)) % 6.52/6.76 (step-pop @p3232 :rule scope :premises (@p3231)) % 6.52/6.76 (step-pop @p3233 :rule scope :premises (@p3232)) % 6.52/6.76 (step-pop @p3234 :rule scope :premises (@p3233)) % 6.52/6.76 (step-pop @p3235 :rule scope :premises (@p3234)) % 6.52/6.76 (step-pop @p3236 :rule scope :premises (@p3235)) % 6.52/6.76 (step-pop @p3237 :rule scope :premises (@p3236)) % 6.52/6.76 (step @p1788 :rule process_scope :premises (@p3237) :args (false)) % 6.52/6.76 (assume-push @p3238 @t86) % 6.52/6.76 (assume-push @p3239 @t148) % 6.52/6.76 (assume-push @p3240 @t149) % 6.52/6.76 (assume-push @p3241 @t285) % 6.52/6.76 (assume-push @p3242 @t300) % 6.52/6.76 (assume-push @p3243 @t293) % 6.52/6.76 (assume-push @p3244 @t128) % 6.52/6.76 (step @p1803 :rule and_intro :premises (@p49 @p3244 @p3240 @p3241 @p3242 @p3239 @p3243)) % 6.52/6.76 (step-pop @p3245 :rule scope :premises (@p1803)) % 6.52/6.76 (step-pop @p3246 :rule scope :premises (@p3245)) % 6.52/6.76 (step-pop @p3247 :rule scope :premises (@p3246)) % 6.52/6.76 (step-pop @p3248 :rule scope :premises (@p3247)) % 6.52/6.76 (step-pop @p3249 :rule scope :premises (@p3248)) % 6.52/6.76 (step-pop @p3250 :rule scope :premises (@p3249)) % 6.52/6.76 (step-pop @p3251 :rule scope :premises (@p3250)) % 6.52/6.76 (step @p1804 :rule process_scope :premises (@p3251) :args (@t325)) % 6.52/6.76 (step @p1812 :rule implies_elim :premises (@p1804)) % 6.52/6.76 (step @p1813 :rule resolution :premises (@p1812 @p1788) :args (true @t325)) % 6.52/6.76 (step @p1814 :rule not_and :premises (@p1813)) % 6.52/6.76 (step @p1815 :rule eq_resolve :premises (@p1814 @p1765)) % 6.52/6.76 (step @p1816 :rule chain_m_resolution :premises (@p1815 @p49 @p1075 @p241 @p240 @p60 @p239 @p229 @p228 @p227 @p226 @p225 @p56 @p224 @p223 @p222 @p53 @p49 @p956 @p1512 @p1509 @p221 @p216 @p210 @p1699 @p1760 @p1758 @p1754 @p1684 @p49 @p1332 @p1704 @p1693 @p1215 @p1209 @p1200) :args ((or @t66 @t222) (@list false false false false false false false false false false false false false false false false false false false false false false true false true false false false false true true true false true true) (@list @t86 @t128 @t203 @t200 @t99 @t169 @t195 @t193 @t192 @t189 @t185 @t97 @t182 @t179 @t175 @t88 @t86 @t149 @t144 @t148 @t156 @t158 @t160 @t300 @t292 @t298 @t324 @t72 @t86 @t134 @t315 @t302 @t285 @t287 @t115))) % 6.52/6.76 (step @p1817 :rule chain_m_resolution :premises (@p23 @p506 @p1816 @p1749 @p1743 @p1711 @p1709 @p28 @p1684 @p49 @p216 @p1704 @p1699 @p210 @p1693 @p1332 @p1215 @p1209 @p1200) :args (@t222 (@list false false false true true false false false false false true false true true true false true true) (@list @t64 @t66 @t143 @t138 @t319 @t321 @t68 @t72 @t86 @t158 @t315 @t300 @t160 @t302 @t134 @t285 @t287 @t115))) % 6.52/6.76 (step @p1818 :rule bool-double-not-elim :args (@t173)) % 6.52/6.76 (step @p1819 :rule nary_cong :premises (@p1211 @p1818) :args ((or @t287 (not @t222)))) % 6.52/6.76 (step @p1820 :rule cnf_or_neg :args (@t287 1)) % 6.52/6.76 (step @p1821 :rule eq_resolve :premises (@p1820 @p1819)) % 6.52/6.76 (step @p1822 :rule reordering :premises (@p1821) :args ((or @t173 @t287))) % 6.52/6.76 (step @p1823 :rule chain_m_resolution :premises (@p1822 @p1817) :args (@t287 @t305 (@list @t173))) % 6.52/6.76 (step @p1824 :rule chain_m_resolution :premises (@p1209 @p1823) :args (@t115 @t170 (@list @t287))) % 6.52/6.76 (assume-push @p3252 @t115) % 6.52/6.76 (step @p1826 :rule instantiate :premises (@p3252) :args (@t73)) % 6.52/6.76 (step-pop @p3253 :rule scope :premises (@p1826)) % 6.52/6.76 (step @p1827 :rule process_scope :premises (@p3253) :args (@t329)) % 6.52/6.76 (step @p1829 :rule implies_elim :premises (@p1827)) % 6.52/6.76 (step @p1830 :rule chain_m_resolution :premises (@p1829 @p1824) :args (@t329 @t170 @t330)) % 6.52/6.76 (step @p1831 :rule cnf_or_pos :args (@t329)) % 6.52/6.76 (step @p1832 :rule reordering :premises (@p1831) :args ((or @t328 @t327 (not @t329)))) % 6.52/6.76 (step @p1833 :rule chain_m_resolution :premises (@p151 @p1824) :args (@t124 @t170 @t330)) % 6.52/6.76 (step @p1834 :rule chain_m_resolution :premises (@p173 @p1833) :args (@t144 @t170 @t331)) % 6.52/6.76 (step @p1835 :rule chain_m_resolution :premises 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(step-pop @p3457 :rule scope :premises (@p3456)) % 6.52/6.76 (step-pop @p3458 :rule scope :premises (@p3457)) % 6.52/6.76 (step-pop @p3459 :rule scope :premises (@p3458)) % 6.52/6.76 (step-pop @p3460 :rule scope :premises (@p3459)) % 6.52/6.76 (step-pop @p3461 :rule scope :premises (@p3460)) % 6.52/6.76 (step-pop @p3462 :rule scope :premises (@p3461)) % 6.52/6.76 (step-pop @p3463 :rule scope :premises (@p3462)) % 6.52/6.76 (step-pop @p3464 :rule scope :premises (@p3463)) % 6.52/6.76 (step @p2218 :rule process_scope :premises (@p3464) :args (@t319)) % 6.52/6.76 (step @p2250 :rule and_intro :premises (@p228 @p53 @p239 @p60 @p56 @p2023 @p3374 @p2029 @p2020 @p2024 @p3375 @p3376 @p49 @p225 @p2032 @p3373 @p2053 @p2041 @p2028 @p2022 @p2042 @p2021 @p2030 @p2026 @p2063 @p2031 @p2027 @p2025 @p2052 @p2062 @p2051)) % 6.52/6.76 (step @p2251 :rule modus_ponens :premises (@p2250 @p2218)) % 6.52/6.76 (step-pop @p3465 :rule scope :premises (@p2251)) % 6.52/6.76 (step-pop @p3466 :rule scope :premises (@p3465)) % 6.52/6.76 (step-pop @p3467 :rule scope :premises (@p3466)) % 6.52/6.76 (step-pop @p3468 :rule scope :premises (@p3467)) % 6.52/6.76 (step-pop @p3469 :rule scope :premises (@p3468)) % 6.52/6.76 (step-pop @p3470 :rule scope :premises (@p3469)) % 6.52/6.76 (step-pop @p3471 :rule scope :premises (@p3470)) % 6.52/6.76 (step-pop @p3472 :rule scope :premises (@p3471)) % 6.52/6.76 (step-pop @p3473 :rule scope :premises (@p3472)) % 6.52/6.76 (step-pop @p3474 :rule scope :premises (@p3473)) % 6.52/6.76 (step-pop @p3475 :rule scope :premises (@p3474)) % 6.52/6.76 (step-pop @p3476 :rule scope :premises (@p3475)) % 6.52/6.76 (step-pop @p3477 :rule scope :premises (@p3476)) % 6.52/6.76 (step-pop @p3478 :rule scope :premises (@p3477)) % 6.52/6.76 (step-pop @p3479 :rule scope :premises (@p3478)) % 6.52/6.76 (step-pop @p3480 :rule scope :premises (@p3479)) % 6.52/6.76 (step-pop @p3481 :rule scope :premises (@p3480)) % 6.52/6.76 (step-pop @p3482 :rule scope :premises (@p3481)) % 6.52/6.76 (step-pop @p3483 :rule scope :premises (@p3482)) % 6.52/6.76 (step-pop @p3484 :rule scope :premises (@p3483)) % 6.52/6.76 (step-pop @p3485 :rule scope :premises (@p3484)) % 6.52/6.76 (step-pop @p3486 :rule scope :premises (@p3485)) % 6.52/6.76 (step-pop @p3487 :rule scope :premises (@p3486)) % 6.52/6.76 (step-pop @p3488 :rule scope :premises (@p3487)) % 6.52/6.76 (step-pop @p3489 :rule scope :premises (@p3488)) % 6.52/6.76 (step-pop @p3490 :rule scope :premises (@p3489)) % 6.52/6.76 (step-pop @p3491 :rule scope :premises (@p3490)) % 6.52/6.76 (step-pop @p3492 :rule scope :premises (@p3491)) % 6.52/6.76 (step-pop @p3493 :rule scope :premises (@p3492)) % 6.52/6.76 (step-pop @p3494 :rule scope :premises (@p3493)) % 6.52/6.76 (step-pop @p3495 :rule scope :premises (@p3494)) % 6.52/6.76 (step @p2252 :rule process_scope :premises (@p3495) :args (@t319)) % 6.52/6.76 (step @p2284 :rule implies_elim :premises (@p2252)) % 6.52/6.76 (step @p2285 :rule cnf_and_neg :args (@t402)) % 6.52/6.76 (step @p2286 :rule resolution :premises (@p2285 @p2284) :args (true @t402)) % 6.52/6.76 (step @p2287 :rule reordering :premises (@p2286) :args ((or @t109 @t224 @t223 @t152 @t157 @t319 @t108 (not @t363) (not @t365) @t105 @t218 (not @t368) (not @t371) (not @t373) @t215 (not @t375) (not @t377) (not @t379) (not @t381) @t213 @t104 (not @t382) (not @t385) (not @t388) (not @t389) (not @t347) (not @t391) (not @t355) (not @t394) (not @t396) (not @t362) (not @t399)))) % 6.52/6.76 (step @p2288 :rule chain_m_resolution :premises (@p2287 @p2063 @p2062 @p2053 @p2052 @p2051 @p2042 @p1835 @p1834 @p2041 @p2032 @p2031 @p2030 @p2029 @p60 @p239 @p2028 @p2027 @p2026 @p2025 @p228 @p2024 @p2023 @p2022 @p225 @p56 @p2021 @p2020 @p53 @p49 @p1711 @p216 @p210 @p1709 @p201 @p37 @p196 @p189 @p2019 @p1913) :args ((or @t67 @t157) (@list 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 false true false true false true false false true) (@list @t399 @t362 @t396 @t394 @t355 @t391 @t148 @t144 @t347 @t389 @t388 @t385 @t382 @t99 @t169 @t381 @t379 @t377 @t375 @t193 @t373 @t371 @t368 @t185 @t97 @t365 @t363 @t88 @t86 @t319 @t158 @t160 @t321 @t134 @t72 @t153 @t149 @t81 @t64))) % 6.52/6.76 (step @p2289 :rule chain_m_resolution :premises (@p879 @p951 @p1835 @p1834 @p880 @p60 @p56 @p55 @p54 @p53 @p49 @p48 @p43 @p37 @p28 @p23 @p196 @p877 @p201 @p210 @p221 @p2288) :args (@t67 (@list false false false false false false false false false false false false true true true false false false false false true) (@list @t272 @t148 @t144 @t276 @t99 @t97 @t94 @t90 @t88 @t86 @t76 @t79 @t81 @t72 @t68 @t64 @t274 @t153 @t134 @t160 @t156))) % 6.52/6.76 (step @p2290 :rule chain_m_resolution :premises (@p959 @p2289) :args (@t150 @t305 @t403)) % 6.52/6.76 (step @p2291 :rule chain_m_resolution :premises (@p956 @p2289) :args (@t149 @t305 @t403)) % 6.52/6.76 (step @p2292 :rule chain_m_resolution :premises (@p195 @p2291 @p2290) :args (@t154 @t146 (@list @t149 @t150))) % 6.52/6.76 (step @p2293 :rule chain_m_resolution :premises (@p201 @p2292) :args (@t162 @t305 (@list @t153))) % 6.52/6.76 (step @p2294 :rule chain_m_resolution :premises (@p210 @p2293) :args (@t161 @t305 (@list @t134))) % 6.52/6.76 (step @p2295 :rule chain_m_resolution :premises (@p221 @p2294) :args (@t156 @t305 @t404)) % 6.52/6.76 (step @p2296 :rule chain_m_resolution :premises (@p2019 @p2295) :args (@t81 @t170 (@list @t156))) % 6.52/6.76 (step @p2297 :rule chain_m_resolution :premises (@p37 @p2296) :args (@t72 @t170 (@list @t81))) % 6.52/6.76 (step @p2298 :rule chain_m_resolution :premises (@p2287 @p49 @p1835 @p1834 @p2291 @p2295 @p53 @p2020 @p2021 @p56 @p225 @p2022 @p2023 @p2024 @p228 @p2025 @p2026 @p2027 @p2028 @p239 @p60 @p2029 @p2030 @p2031 @p2032 @p2041 @p2042 @p2051 @p2052 @p2053 @p2062 @p2063) :args (@t319 (@list 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) (@list @t86 @t148 @t144 @t149 @t156 @t88 @t363 @t365 @t97 @t185 @t368 @t371 @t373 @t193 @t375 @t377 @t379 @t381 @t169 @t99 @t382 @t385 @t388 @t389 @t347 @t391 @t355 @t394 @t396 @t362 @t399))) % 6.52/6.76 (step @p2299 :rule chain_m_resolution :premises (@p216 @p2294) :args (@t158 @t305 @t404)) % 6.52/6.76 (step @p2300 :rule chain_m_resolution :premises (@p1711 @p2299 @p2298) :args (@t322 @t146 (@list @t158 @t319))) % 6.52/6.76 (step @p2301 false :rule chain_m_resolution :premises (@p1709 @p2300 @p2297) :args (false (@list true false) (@list @t321 @t72))) % 6.52/6.76 ) % 6.52/6.77 % SZS output end Proof % 6.52/6.78 % cvc5 exiting %------------------------------------------------------------------------------