%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG008-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:45:21 AM UTC 2026 % Result : Unsatisfiable 29.34s 29.58s % Output : Proof 27.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG008-2 : TPTP v9.2.1. Released v1.0.0. % 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 : n011.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 13:55:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----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... % 15.31/15.55 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.58 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.44/27.60 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 29.34/29.58 % SZS status Unsatisfiable % 29.34/29.58 % SZS output start Proof % 29.34/29.60 ( % 29.34/29.60 (declare-sort $$unsorted 0) % 29.34/29.60 (declare-const tptp.a $$unsorted) % 29.34/29.60 (declare-const tptp.b $$unsorted) % 29.34/29.60 (declare-const tptp.c $$unsorted) % 29.34/29.60 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 29.34/29.60 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 29.34/29.60 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.34/29.60 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 29.34/29.60 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.34/29.60 (declare-const tptp.additive_identity $$unsorted) % 29.34/29.60 (define @t1 () (@var "X" $$unsorted)) % 29.34/29.60 (define @t2 () (@list @t1)) % 29.34/29.60 (define @t3 () (@var "Y" $$unsorted)) % 29.34/29.60 (define @t4 () (@list @t1 @t3)) % 29.34/29.60 (define @t5 () (tptp.additive_inverse @t1)) % 29.34/29.60 (define @t6 () (@var "W" $$unsorted)) % 29.34/29.60 (define @t7 () (@var "V" $$unsorted)) % 29.34/29.60 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 29.34/29.60 (define @t9 () (@var "Z" $$unsorted)) % 29.34/29.60 (define @t10 () (@var "U" $$unsorted)) % 29.34/29.60 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 29.34/29.60 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 29.34/29.60 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 29.34/29.60 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 29.34/29.60 (define @t15 () (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 29.34/29.60 (define @t16 () (not (tptp.sum @t1 @t3 @t9))) % 29.34/29.60 (define @t17 () (tptp.product @t1 @t7 @t6)) % 29.34/29.60 (define @t18 () (tptp.product @t10 @t9 @t6)) % 29.34/29.60 (define @t19 () (not (tptp.product @t3 @t9 @t7))) % 29.34/29.60 (define @t20 () (not (tptp.product @t1 @t3 @t10))) % 29.34/29.60 (define @t21 () (@var "V4" $$unsorted)) % 29.34/29.60 (define @t22 () (@var "V2" $$unsorted)) % 29.34/29.60 (define @t23 () (@var "V1" $$unsorted)) % 29.34/29.60 (define @t24 () (tptp.sum @t23 @t22 @t21)) % 29.34/29.60 (define @t25 () (@var "V3" $$unsorted)) % 29.34/29.60 (define @t26 () (tptp.product @t1 @t25 @t21)) % 29.34/29.60 (define @t27 () (not (tptp.sum @t3 @t9 @t25))) % 29.34/29.60 (define @t28 () (not (tptp.product @t1 @t9 @t22))) % 29.34/29.60 (define @t29 () (not (tptp.product @t1 @t3 @t23))) % 29.34/29.60 (define @t30 () (@list @t1 @t3 @t23 @t9 @t22 @t25 @t21)) % 29.34/29.60 (define @t31 () (not @t24)) % 29.34/29.60 (define @t32 () (tptp.product @t25 @t1 @t21)) % 29.34/29.60 (define @t33 () (not (tptp.product @t9 @t1 @t22))) % 29.34/29.60 (define @t34 () (not (tptp.product @t3 @t1 @t23))) % 29.34/29.60 (define @t35 () (@list @t3 @t1 @t23 @t9 @t22 @t25 @t21)) % 29.34/29.60 (define @t36 () (= @t10 @t7)) % 29.34/29.60 (define @t37 () (@list @t1 @t3 @t10 @t7)) % 29.34/29.60 (define @t38 () (forall @t37 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t36))) % 29.34/29.60 (define @t39 () (forall @t37 (or @t20 (not (tptp.product @t1 @t3 @t7)) @t36))) % 29.34/29.60 (define @t40 () (@list @t1 @t3 @t9 @t6)) % 29.34/29.60 (define @t41 () (forall @t40 (or @t16 (not (tptp.sum @t1 @t6 @t9)) (= @t3 @t6)))) % 29.34/29.60 (define @t42 () (forall @t40 (or @t16 (not (tptp.sum @t6 @t3 @t9)) (= @t1 @t6)))) % 29.34/29.60 (define @t43 () (tptp.product tptp.a tptp.b tptp.c)) % 29.34/29.60 (define @t44 () (tptp.product tptp.b tptp.a tptp.c)) % 29.34/29.60 (define @t45 () (not @t44)) % 29.34/29.60 (define @t46 () (tptp.add tptp.a tptp.a)) % 29.34/29.60 (define @t47 () (tptp.add tptp.a tptp.b)) % 29.34/29.60 (define @t48 () (tptp.multiply @t47 @t46)) % 29.34/29.60 (define @t49 () (tptp.multiply tptp.b tptp.a)) % 29.34/29.60 (define @t50 () (tptp.additive_inverse tptp.a)) % 29.34/29.60 (define @t51 () (tptp.multiply @t50 @t46)) % 29.34/29.60 (define @t52 () (@list tptp.a tptp.a)) % 29.34/29.60 (define @t53 () (@list tptp.a)) % 29.34/29.60 (define @t54 () (tptp.product tptp.a @t46 @t46)) % 29.34/29.60 (define @t55 () (tptp.sum tptp.a tptp.a @t46)) % 29.34/29.60 (define @t56 () (not @t55)) % 29.34/29.60 (define @t57 () (tptp.product tptp.a tptp.a tptp.a)) % 29.34/29.60 (define @t58 () (not @t57)) % 29.34/29.60 (define @t59 () (or @t58 @t58 @t56 @t56 @t54)) % 29.34/29.60 (define @t60 () (@list false false false)) % 29.34/29.60 (define @t61 () (tptp.sum @t46 @t50 tptp.a)) % 29.34/29.60 (define @t62 () (tptp.sum tptp.a tptp.additive_identity tptp.a)) % 29.34/29.60 (define @t63 () (not @t62)) % 29.34/29.60 (define @t64 () (tptp.sum tptp.a @t50 tptp.additive_identity)) % 29.34/29.60 (define @t65 () (not @t64)) % 29.34/29.60 (define @t66 () (or @t56 @t65 @t63 @t61)) % 29.34/29.60 (define @t67 () (@list false false false false)) % 29.34/29.60 (define @t68 () (tptp.sum @t46 @t51 @t46)) % 29.34/29.60 (define @t69 () (not @t54)) % 29.34/29.60 (define @t70 () (not @t61)) % 29.34/29.60 (define @t71 () (tptp.product @t50 @t46 @t51)) % 29.34/29.60 (define @t72 () (not @t71)) % 29.34/29.60 (define @t73 () (tptp.product @t46 @t46 @t46)) % 29.34/29.60 (define @t74 () (not @t73)) % 29.34/29.60 (define @t75 () (or @t74 @t72 @t70 @t69 @t68)) % 29.34/29.60 (define @t76 () (@list false false false false false)) % 29.34/29.60 (define @t77 () (tptp.multiply tptp.a tptp.a)) % 29.34/29.60 (define @t78 () (= tptp.a @t77)) % 29.34/29.60 (define @t79 () (tptp.product tptp.a tptp.a @t77)) % 29.34/29.60 (define @t80 () (not @t79)) % 29.34/29.60 (define @t81 () (or @t58 @t80 @t78)) % 29.34/29.60 (define @t82 () (tptp.sum @t77 @t77 @t46)) % 29.34/29.60 (define @t83 () (tptp.product @t46 tptp.a @t46)) % 29.34/29.60 (define @t84 () (not @t82)) % 29.34/29.60 (define @t85 () (or @t80 @t80 @t56 @t84 @t83)) % 29.34/29.60 (define @t86 () (tptp.sum @t46 @t46 @t46)) % 29.34/29.60 (define @t87 () (not @t83)) % 29.34/29.60 (define @t88 () (or @t87 @t87 @t56 @t74 @t86)) % 29.34/29.60 (define @t89 () (= @t46 @t51)) % 29.34/29.60 (define @t90 () (not @t68)) % 29.34/29.60 (define @t91 () (not @t86)) % 29.34/29.60 (define @t92 () (or @t91 @t90 @t89)) % 29.34/29.60 (define @t93 () (tptp.sum @t77 @t77 tptp.additive_identity)) % 29.34/29.60 (define @t94 () (not @t93)) % 29.34/29.60 (define @t95 () (tptp.sum @t77 @t77 @t51)) % 29.34/29.60 (define @t96 () (not @t95)) % 29.34/29.60 (define @t97 () (or @t96 @t94 (= @t51 tptp.additive_identity))) % 29.34/29.60 (define @t98 () (= tptp.additive_identity @t51)) % 29.34/29.60 (define @t99 () (or @t96 @t94 @t98)) % 29.34/29.60 (define @t100 () (@list false)) % 29.34/29.60 (define @t101 () (tptp.multiply @t50 @t50)) % 29.34/29.60 (define @t102 () (tptp.product @t50 @t50 @t50)) % 29.34/29.60 (define @t103 () (not @t102)) % 29.34/29.60 (define @t104 () (tptp.product @t50 @t50 @t101)) % 29.34/29.60 (define @t105 () (not @t104)) % 29.34/29.60 (define @t106 () (or @t105 @t103 (= @t101 @t50))) % 29.34/29.60 (define @t107 () (= @t50 @t101)) % 29.34/29.60 (define @t108 () (or @t105 @t103 @t107)) % 29.34/29.60 (define @t109 () (tptp.multiply @t50 tptp.a)) % 29.34/29.60 (define @t110 () (tptp.sum @t46 @t50 @t77)) % 29.34/29.60 (define @t111 () (not @t110)) % 29.34/29.60 (define @t112 () (tptp.sum @t46 @t109 @t77)) % 29.34/29.60 (define @t113 () (not @t112)) % 29.34/29.60 (define @t114 () (or @t113 @t111 (= @t109 @t50))) % 29.34/29.60 (define @t115 () (= @t50 @t109)) % 29.34/29.60 (define @t116 () (or @t113 @t111 @t115)) % 29.34/29.60 (define @t117 () (tptp.product @t50 tptp.a @t109)) % 29.34/29.60 (define @t118 () (not @t117)) % 29.34/29.60 (define @t119 () (or @t87 @t118 @t70 @t80 @t112)) % 29.34/29.60 (define @t120 () (not @t115)) % 29.34/29.60 (define @t121 () (tptp.product @t50 tptp.a @t50)) % 29.34/29.60 (define @t122 () (not @t121)) % 29.34/29.60 (define @t123 () (= true false)) % 29.34/29.60 (define @t124 () (and @t122 @t115 @t117)) % 29.34/29.60 (define @t125 () (@list false false)) % 29.34/29.60 (define @t126 () (tptp.sum @t51 @t101 @t50)) % 29.34/29.60 (define @t127 () (or @t72 @t105 @t70 @t122 @t126)) % 29.34/29.60 (define @t128 () (tptp.sum @t46 @t50 @t50)) % 29.34/29.60 (define @t129 () (and @t107 @t89 @t126)) % 29.34/29.60 (define @t130 () (not @t89)) % 29.34/29.60 (define @t131 () (= tptp.a @t50)) % 29.34/29.60 (define @t132 () (not @t128)) % 29.34/29.60 (define @t133 () (or @t70 @t132 @t131)) % 29.34/29.60 (define @t134 () (tptp.sum tptp.a tptp.a tptp.additive_identity)) % 29.34/29.60 (define @t135 () (and @t64 @t78 @t131)) % 29.34/29.60 (define @t136 () (tptp.multiply @t47 tptp.a)) % 29.34/29.60 (define @t137 () (tptp.multiply tptp.b @t47)) % 29.34/29.60 (define @t138 () (tptp.multiply @t47 @t47)) % 29.34/29.60 (define @t139 () (= @t47 @t138)) % 29.34/29.60 (define @t140 () (tptp.product @t47 @t47 @t138)) % 29.34/29.60 (define @t141 () (not @t140)) % 29.34/29.60 (define @t142 () (tptp.product @t47 @t47 @t47)) % 29.34/29.60 (define @t143 () (not @t142)) % 29.34/29.60 (define @t144 () (or @t143 @t141 @t139)) % 29.34/29.60 (define @t145 () (tptp.multiply @t47 tptp.b)) % 29.34/29.60 (define @t146 () (tptp.sum tptp.c tptp.b @t137)) % 29.34/29.60 (define @t147 () (not @t146)) % 29.34/29.60 (define @t148 () (tptp.sum @t49 tptp.b @t137)) % 29.34/29.60 (define @t149 () (not @t148)) % 29.34/29.60 (define @t150 () (or @t149 @t147 (= @t49 tptp.c))) % 29.34/29.60 (define @t151 () (= tptp.c @t49)) % 29.34/29.60 (define @t152 () (or @t149 @t147 @t151)) % 29.34/29.60 (define @t153 () (not @t151)) % 29.34/29.60 (define @t154 () (tptp.product tptp.b tptp.a @t49)) % 29.34/29.60 (define @t155 () (not @t154)) % 29.34/29.60 (define @t156 () (and @t154 @t151 @t45)) % 29.34/29.60 (define @t157 () (@list true false)) % 29.34/29.60 (define @t158 () (@list tptp.b)) % 29.34/29.60 (define @t159 () (tptp.product tptp.b @t47 @t137)) % 29.34/29.60 (define @t160 () (not @t159)) % 29.34/29.60 (define @t161 () (tptp.sum tptp.a tptp.b @t47)) % 29.34/29.60 (define @t162 () (not @t161)) % 29.34/29.60 (define @t163 () (tptp.product tptp.b tptp.b tptp.b)) % 29.34/29.60 (define @t164 () (not @t163)) % 29.34/29.60 (define @t165 () (or @t155 @t164 @t162 @t160 @t148)) % 29.34/29.60 (define @t166 () (@list false true false)) % 29.34/29.60 (define @t167 () (tptp.sum tptp.c tptp.b @t145)) % 29.34/29.60 (define @t168 () (tptp.product @t47 tptp.b @t145)) % 29.34/29.60 (define @t169 () (not @t168)) % 29.34/29.60 (define @t170 () (not @t43)) % 29.34/29.60 (define @t171 () (or @t170 @t164 @t162 @t169 @t167)) % 29.34/29.60 (define @t172 () (= @t145 @t137)) % 29.34/29.60 (define @t173 () (not @t172)) % 29.34/29.60 (define @t174 () (not @t167)) % 29.34/29.60 (define @t175 () (and @t147 @t172 @t167)) % 29.34/29.60 (define @t176 () (tptp.sum @t136 @t145 @t138)) % 29.34/29.60 (define @t177 () (tptp.product @t47 tptp.a @t136)) % 29.34/29.60 (define @t178 () (not @t177)) % 29.34/29.60 (define @t179 () (or @t178 @t169 @t162 @t141 @t176)) % 29.34/29.60 (define @t180 () (tptp.sum @t136 @t137 @t138)) % 29.34/29.60 (define @t181 () (not @t180)) % 29.34/29.60 (define @t182 () (not @t176)) % 29.34/29.60 (define @t183 () (or @t182 @t181 @t172)) % 29.34/29.60 (define @t184 () (tptp.sum @t136 @t137 @t47)) % 29.34/29.60 (define @t185 () (and @t139 @t184)) % 29.34/29.60 (define @t186 () (not @t184)) % 29.34/29.60 (define @t187 () (tptp.sum @t136 @t49 tptp.a)) % 29.34/29.60 (define @t188 () (not @t187)) % 29.34/29.60 (define @t189 () (or @t188 @t149 @t162 @t184)) % 29.34/29.60 (define @t190 () (@list false false true false)) % 29.34/29.60 (define @t191 () (tptp.sum @t77 @t49 @t136)) % 29.34/29.60 (define @t192 () (or @t80 @t155 @t162 @t178 @t191)) % 29.34/29.60 (define @t193 () (tptp.sum tptp.a @t49 @t136)) % 29.34/29.60 (define @t194 () (tptp.sum @t50 @t46 tptp.a)) % 29.34/29.60 (define @t195 () (or @t70 @t194)) % 29.34/29.60 (define @t196 () (tptp.sum tptp.a @t46 tptp.a)) % 29.34/29.60 (define @t197 () (and @t131 @t194)) % 29.34/29.60 (define @t198 () (not @t196)) % 29.34/29.60 (define @t199 () (tptp.sum @t49 @t49 @t46)) % 29.34/29.60 (define @t200 () (not @t199)) % 29.34/29.60 (define @t201 () (not @t193)) % 29.34/29.60 (define @t202 () (or @t201 @t200 @t198 @t187)) % 29.34/29.60 (define @t203 () (tptp.sum @t49 @t49 @t48)) % 29.34/29.60 (define @t204 () (not @t203)) % 29.34/29.60 (define @t205 () (= tptp.additive_identity @t48)) % 29.34/29.60 (define @t206 () (not @t205)) % 29.34/29.60 (define @t207 () (not @t98)) % 29.34/29.60 (define @t208 () (and @t200 @t89 @t98 @t205)) % 29.34/29.60 (define @t209 () (tptp.sum @t49 @t77 @t136)) % 29.34/29.60 (define @t210 () (not @t191)) % 29.34/29.60 (define @t211 () (or @t210 @t209)) % 29.34/29.60 (define @t212 () (tptp.sum @t49 tptp.a @t136)) % 29.34/29.60 (define @t213 () (tptp.sum @t77 @t50 tptp.additive_identity)) % 29.34/29.60 (define @t214 () (tptp.product tptp.additive_identity tptp.a tptp.additive_identity)) % 29.34/29.60 (define @t215 () (not @t213)) % 29.34/29.60 (define @t216 () (or @t80 @t122 @t65 @t215 @t214)) % 29.34/29.60 (define @t217 () (tptp.product tptp.additive_identity tptp.a @t46)) % 29.34/29.60 (define @t218 () (and @t214 @t89 @t98)) % 29.34/29.60 (define @t219 () (tptp.sum @t49 @t46 @t49)) % 29.34/29.60 (define @t220 () (tptp.sum tptp.b tptp.additive_identity tptp.b)) % 29.34/29.60 (define @t221 () (not @t220)) % 29.34/29.60 (define @t222 () (not @t217)) % 29.34/29.60 (define @t223 () (or @t155 @t222 @t221 @t155 @t219)) % 29.34/29.60 (define @t224 () (tptp.sum @t136 tptp.a @t49)) % 29.34/29.60 (define @t225 () (not @t219)) % 29.34/29.60 (define @t226 () (not @t212)) % 29.34/29.60 (define @t227 () (or @t226 @t56 @t225 @t224)) % 29.34/29.60 (define @t228 () (tptp.sum @t46 tptp.a tptp.a)) % 29.34/29.60 (define @t229 () (and @t131 @t61)) % 29.34/29.60 (define @t230 () (tptp.sum @t48 @t136 @t136)) % 29.34/29.60 (define @t231 () (not @t228)) % 29.34/29.60 (define @t232 () (tptp.product @t47 @t46 @t48)) % 29.34/29.60 (define @t233 () (not @t232)) % 29.34/29.60 (define @t234 () (or @t233 @t178 @t231 @t178 @t230)) % 29.34/29.60 (define @t235 () (tptp.sum @t48 @t49 @t49)) % 29.34/29.60 (define @t236 () (not @t224)) % 29.34/29.60 (define @t237 () (not @t230)) % 29.34/29.60 (define @t238 () (or @t237 @t236 @t236 @t235)) % 29.34/29.60 (define @t239 () (tptp.sum @t46 @t49 @t49)) % 29.34/29.60 (define @t240 () (and @t89 @t98 @t205 @t235)) % 29.34/29.60 (define @t241 () (not @t235)) % 29.34/29.60 (define @t242 () (tptp.product @t47 tptp.additive_identity @t48)) % 29.34/29.60 (define @t243 () (and @t89 @t98 @t232)) % 29.34/29.60 (define @t244 () (and @t64 @t131)) % 29.34/29.60 (define @t245 () (tptp.sum @t136 @t136 @t48)) % 29.34/29.60 (define @t246 () (not @t242)) % 29.34/29.60 (define @t247 () (not @t134)) % 29.34/29.60 (define @t248 () (or @t178 @t178 @t247 @t246 @t245)) % 29.34/29.60 (define @t249 () (not @t245)) % 29.34/29.60 (define @t250 () (tptp.sum @t77 @t136 @t49)) % 29.34/29.60 (define @t251 () (not @t250)) % 29.34/29.60 (define @t252 () (not @t209)) % 29.34/29.60 (define @t253 () (or @t252 @t251 @t249 @t203)) % 29.34/29.60 (define @t254 () (tptp.sum tptp.a @t136 @t49)) % 29.34/29.60 (define @t255 () (not @t239)) % 29.34/29.60 (define @t256 () (or @t56 @t201 @t255 @t254)) % 29.34/29.60 (define @t257 () (not @t254)) % 29.34/29.60 (define @t258 () (not @t78)) % 29.34/29.60 (define @t259 () (and @t78 @t251)) % 29.34/29.60 (define @t260 () (= @t46 @t48)) % 29.34/29.60 (define @t261 () (not @t260)) % 29.34/29.60 (define @t262 () (and @t89 @t98 @t206)) % 29.34/29.60 (define @t263 () (@list false false true)) % 29.34/29.60 (define @t264 () (tptp.sum @t49 @t48 @t49)) % 29.34/29.60 (define @t265 () (not @t264)) % 29.34/29.60 (define @t266 () (or @t225 @t265 @t260)) % 29.34/29.60 (define @t267 () (tptp.sum @t136 @t77 @t49)) % 29.34/29.60 (define @t268 () (and @t78 @t224)) % 29.34/29.60 (define @t269 () (not @t267)) % 29.34/29.60 (define @t270 () (or @t210 @t252 @t269 @t250)) % 29.34/29.60 (define @t271 () (or @t204 @t204 @t241 @t264)) % 29.34/29.60 (define @t272 () (not @t271)) % 29.34/29.60 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 29.34/29.60 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 29.34/29.60 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 29.34/29.60 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 29.34/29.60 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 29.34/29.60 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 29.34/29.60 (assume @p7 @t15) % 29.34/29.60 (assume @p8 (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 29.34/29.60 (assume @p9 (forall (@list @t1 @t3 @t9) (or @t16 (tptp.sum @t3 @t1 @t9)))) % 29.34/29.60 (assume @p10 (forall @t14 (or @t20 @t19 (not @t18) @t17))) % 29.34/29.60 (assume @p11 (forall @t14 (or @t20 @t19 (not @t17) @t18))) % 29.34/29.60 (assume @p12 (forall @t30 (or @t29 @t28 @t27 (not @t26) @t24))) % 29.34/29.60 (assume @p13 (forall @t30 (or @t29 @t28 @t27 @t31 @t26))) % 29.34/29.60 (assume @p14 (forall @t35 (or @t34 @t33 @t27 (not @t32) @t24))) % 29.34/29.60 (assume @p15 (forall @t35 (or @t34 @t33 @t27 @t31 @t32))) % 29.34/29.60 (assume @p16 @t38) % 29.34/29.60 (assume @p17 @t39) % 29.34/29.60 (assume @p18 @t41) % 29.34/29.60 (assume @p19 @t42) % 29.34/29.60 (assume @p20 (forall @t2 (tptp.product @t1 @t1 @t1))) % 29.34/29.60 (assume @p21 @t43) % 29.34/29.60 (assume @p22 @t45) % 29.34/29.60 (step @p23 :rule instantiate :premises (@p18) :args ((@list @t49 @t46 @t49 @t48))) % 29.34/29.60 (step @p24 :rule instantiate :premises (@p18) :args ((@list @t46 @t46 @t46 @t51))) % 29.34/29.60 (step @p25 :rule instantiate :premises (@p14) :args ((@list @t46 @t46 @t46 @t50 @t51 tptp.a @t46))) % 29.34/29.60 (step @p26 :rule instantiate :premises (@p3) :args ((@list @t50 @t46))) % 29.34/29.60 (step @p27 :rule instantiate :premises (@p20) :args ((@list @t46))) % 29.34/29.60 (step @p28 :rule instantiate :premises (@p13) :args ((@list tptp.a tptp.a tptp.a tptp.a tptp.a @t46 @t46))) % 29.34/29.60 (step @p29 :rule instantiate :premises (@p4) :args (@t52)) % 29.34/29.60 (step @p30 :rule instantiate :premises (@p20) :args (@t53)) % 29.34/29.60 (step @p31 :rule cnf_or_pos :args (@t59)) % 29.34/29.60 (step @p32 :rule factoring :premises (@p31)) % 29.34/29.60 (step @p33 :rule reordering :premises (@p32) :args ((or @t58 @t56 @t54 (not @t59)))) % 29.34/29.60 (step @p34 :rule chain_m_resolution :premises (@p33 @p30 @p29 @p28) :args (@t54 @t60 (@list @t57 @t55 @t59))) % 29.34/29.60 (step @p35 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.a @t46 @t50 tptp.additive_identity tptp.a))) % 29.34/29.60 (step @p36 :rule instantiate :premises (@p6) :args (@t53)) % 29.34/29.60 (step @p37 :rule instantiate :premises (@p2) :args (@t53)) % 29.34/29.60 (step @p38 :rule cnf_or_pos :args (@t66)) % 29.34/29.60 (step @p39 :rule reordering :premises (@p38) :args ((or @t63 @t56 @t65 @t61 (not @t66)))) % 29.34/29.60 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p29 @p36 @p35) :args (@t61 @t67 (@list @t62 @t55 @t64 @t66))) % 29.34/29.60 (step @p41 :rule cnf_or_pos :args (@t75)) % 29.34/29.60 (step @p42 :rule reordering :premises (@p41) :args ((or @t70 @t69 @t74 @t72 @t68 (not @t75)))) % 29.34/29.60 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p34 @p27 @p26 @p25) :args (@t68 @t76 (@list @t61 @t54 @t73 @t71 @t75))) % 29.34/29.60 (step @p44 :rule instantiate :premises (@p12) :args ((@list @t46 tptp.a @t46 tptp.a @t46 @t46 @t46))) % 29.34/29.60 (step @p45 :rule instantiate :premises (@p15) :args ((@list tptp.a tptp.a @t77 tptp.a @t77 @t46 @t46))) % 29.34/29.60 (step @p46 :rule true_intro :premises (@p29)) % 29.34/29.60 (step @p47 :rule refl :args (@t46)) % 29.34/29.60 (step @p48 :rule instantiate :premises (@p17) :args ((@list tptp.a tptp.a tptp.a @t77))) % 29.34/29.60 (step @p49 :rule instantiate :premises (@p3) :args (@t52)) % 29.34/29.60 (step @p50 :rule cnf_or_pos :args (@t81)) % 29.34/29.60 (step @p51 :rule reordering :premises (@p50) :args ((or @t58 @t80 @t78 (not @t81)))) % 29.34/29.60 (step @p52 :rule chain_m_resolution :premises (@p51 @p30 @p49 @p48) :args (@t78 @t60 (@list @t57 @t79 @t81))) % 29.34/29.60 (step @p53 :rule symm :premises (@p52)) % 29.34/29.60 (step @p54 :rule cong :premises (@p53 @p53 @p47) :args (@t82)) % 29.34/29.60 (step @p55 :rule trans :premises (@p54 @p46)) % 29.34/29.60 (step @p56 :rule true_elim :premises (@p55)) % 29.34/29.60 (step @p57 :rule cnf_or_pos :args (@t85)) % 29.34/29.60 (step @p58 :rule factoring :premises (@p57)) % 29.34/29.60 (step @p59 :rule reordering :premises (@p58) :args ((or @t80 @t56 @t84 @t83 (not @t85)))) % 29.34/29.60 (step @p60 :rule chain_m_resolution :premises (@p59 @p49 @p29 @p56 @p45) :args (@t83 @t67 (@list @t79 @t55 @t82 @t85))) % 29.34/29.60 (step @p61 :rule cnf_or_pos :args (@t88)) % 29.34/29.60 (step @p62 :rule factoring :premises (@p61)) % 29.34/29.60 (step @p63 :rule reordering :premises (@p62) :args ((or @t56 @t87 @t74 @t86 (not @t88)))) % 29.34/29.60 (step @p64 :rule chain_m_resolution :premises (@p63 @p29 @p60 @p27 @p44) :args (@t86 @t67 (@list @t55 @t83 @t73 @t88))) % 29.34/29.60 (step @p65 :rule cnf_or_pos :args (@t92)) % 29.34/29.60 (step @p66 :rule reordering :premises (@p65) :args ((or @t91 @t90 @t89 (not @t92)))) % 29.34/29.60 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p43 @p24) :args (@t89 @t60 (@list @t86 @t68 @t92))) % 29.34/29.60 (step @p68 :rule eq-symm :args (@t51 tptp.additive_identity)) % 29.34/29.60 (step @p69 :rule refl :args (@t94)) % 29.34/29.60 (step @p70 :rule refl :args (@t96)) % 29.34/29.60 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68) :args (@t97)) % 29.34/29.60 (step @p72 :rule refl :args (@t38)) % 29.34/29.60 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t38 @t97))) % 29.34/29.60 (assume-push @p701 @t38) % 29.34/29.60 (step @p75 :rule instantiate :premises (@p16) :args ((@list @t77 @t77 @t51 tptp.additive_identity))) % 29.34/29.60 (step-pop @p702 :rule scope :premises (@p75)) % 29.34/29.60 (step @p76 :rule process_scope :premises (@p702) :args (@t97)) % 29.34/29.60 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 29.34/29.60 (step @p79 :rule implies_elim :premises (@p78)) % 29.34/29.60 (step @p80 :rule chain_m_resolution :premises (@p79 @p16) :args (@t99 @t100 (@list @t38))) % 29.34/29.60 (step @p81 :rule symm :premises (@p67)) % 29.34/29.60 (step @p82 :rule cong :premises (@p52 @p52 @p81) :args ((tptp.sum tptp.a tptp.a @t51))) % 29.34/29.60 (step @p83 :rule refl :args (@t51)) % 29.34/29.60 (step @p84 :rule cong :premises (@p53 @p53 @p83) :args (@t95)) % 29.34/29.60 (step @p85 :rule trans :premises (@p84 @p82 @p54 @p46)) % 29.34/29.60 (step @p86 :rule true_elim :premises (@p85)) % 29.34/29.60 (step @p87 :rule instantiate :premises (@p16) :args ((@list @t46 @t50 tptp.a @t50))) % 29.34/29.60 (step @p88 :rule eq-symm :args (@t101 @t50)) % 29.34/29.60 (step @p89 :rule refl :args (@t103)) % 29.34/29.60 (step @p90 :rule refl :args (@t105)) % 29.34/29.60 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t106)) % 29.34/29.60 (step @p92 :rule refl :args (@t39)) % 29.34/29.60 (step @p93 :rule cong :premises (@p92 @p91) :args ((=> @t39 @t106))) % 29.34/29.60 (assume-push @p703 @t39) % 29.34/29.60 (step @p95 :rule instantiate :premises (@p17) :args ((@list @t50 @t50 @t101 @t50))) % 29.34/29.60 (step-pop @p704 :rule scope :premises (@p95)) % 29.34/29.60 (step @p96 :rule process_scope :premises (@p704) :args (@t106)) % 29.34/29.60 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 29.34/29.60 (step @p99 :rule implies_elim :premises (@p98)) % 29.34/29.60 (step @p100 :rule chain_m_resolution :premises (@p99 @p17) :args (@t108 @t100 (@list @t39))) % 29.34/29.60 (step @p101 :rule instantiate :premises (@p3) :args ((@list @t50 @t50))) % 29.34/29.60 (step @p102 :rule instantiate :premises (@p20) :args ((@list @t50))) % 29.34/29.60 (step @p103 :rule cnf_or_pos :args (@t108)) % 29.34/29.60 (step @p104 :rule reordering :premises (@p103) :args ((or @t103 @t105 @t107 (not @t108)))) % 29.34/29.60 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p101 @p100) :args (@t107 @t60 (@list @t102 @t104 @t108))) % 29.34/29.60 (step @p106 :rule instantiate :premises (@p12) :args ((@list @t50 @t46 @t51 @t50 @t101 tptp.a @t50))) % 29.34/29.60 (step @p107 :rule eq-symm :args (@t109 @t50)) % 29.34/29.60 (step @p108 :rule refl :args (@t111)) % 29.34/29.60 (step @p109 :rule refl :args (@t113)) % 29.34/29.60 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t114)) % 29.34/29.60 (step @p111 :rule refl :args (@t41)) % 29.34/29.60 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t41 @t114))) % 29.34/29.60 (assume-push @p705 @t41) % 29.34/29.60 (step @p114 :rule instantiate :premises (@p18) :args ((@list @t46 @t109 @t77 @t50))) % 29.34/29.60 (step-pop @p706 :rule scope :premises (@p114)) % 29.34/29.60 (step @p115 :rule process_scope :premises (@p706) :args (@t114)) % 29.34/29.60 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 29.34/29.60 (step @p118 :rule implies_elim :premises (@p117)) % 29.34/29.60 (step @p119 :rule chain_m_resolution :premises (@p118 @p18) :args (@t116 @t100 (@list @t41))) % 29.34/29.60 (step @p120 :rule true_intro :premises (@p40)) % 29.34/29.60 (step @p121 :rule refl :args (@t50)) % 29.34/29.60 (step @p122 :rule cong :premises (@p47 @p121 @p53) :args (@t110)) % 29.34/29.60 (step @p123 :rule trans :premises (@p122 @p120)) % 29.34/29.60 (step @p124 :rule true_elim :premises (@p123)) % 29.34/29.60 (step @p125 :rule instantiate :premises (@p14) :args ((@list @t46 tptp.a @t46 @t50 @t109 tptp.a @t77))) % 29.34/29.60 (step @p126 :rule instantiate :premises (@p3) :args ((@list @t50 tptp.a))) % 29.34/29.60 (step @p127 :rule cnf_or_pos :args (@t119)) % 29.34/29.60 (step @p128 :rule reordering :premises (@p127) :args ((or @t80 @t87 @t70 @t118 @t112 (not @t119)))) % 29.34/29.60 (step @p129 :rule chain_m_resolution :premises (@p128 @p49 @p60 @p40 @p126 @p125) :args (@t112 @t76 (@list @t79 @t83 @t61 @t117 @t119))) % 29.34/29.60 (step @p130 :rule cnf_or_pos :args (@t116)) % 29.34/29.60 (step @p131 :rule reordering :premises (@p130) :args ((or @t115 @t113 @t111 (not @t116)))) % 29.34/29.60 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p124 @p119) :args (@t115 @t60 (@list @t112 @t110 @t116))) % 29.34/29.60 (step @p133 :rule refl :args (@t120)) % 29.34/29.60 (step @p134 :rule refl :args (@t118)) % 29.34/29.60 (step @p135 :rule bool-double-not-elim :args (@t121)) % 29.34/29.60 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args ((or (not @t122) @t118 @t120))) % 29.34/29.60 (assume-push @p707 @t122) % 29.34/29.60 (assume-push @p708 @t115) % 29.34/29.60 (assume-push @p709 @t117) % 29.34/29.60 (step @p140 :rule evaluate :args (@t123)) % 29.34/29.60 (step @p141 :rule false_intro :premises (@p707)) % 29.34/29.60 (step @p142 :rule symm :premises (@p132)) % 29.34/29.60 (step @p143 :rule refl :args (tptp.a)) % 29.34/29.60 (step @p144 :rule cong :premises (@p121 @p143 @p142) :args (@t117)) % 29.34/29.60 (step @p145 :rule true_intro :premises (@p126)) % 29.34/29.60 (step @p146 :rule symm :premises (@p145)) % 29.34/29.60 (step @p147 :rule trans :premises (@p146 @p144 @p141)) % 29.34/29.60 (step @p148 false :rule eq_resolve :premises (@p147 @p140)) % 29.34/29.60 (step-pop @p710 :rule scope :premises (@p148)) % 29.34/29.60 (step-pop @p711 :rule scope :premises (@p710)) % 29.34/29.60 (step-pop @p712 :rule scope :premises (@p711)) % 29.34/29.60 (step @p149 :rule process_scope :premises (@p712) :args (false)) % 29.34/29.60 (assume-push @p713 @t122) % 29.34/29.60 (assume-push @p714 @t117) % 29.34/29.60 (assume-push @p715 @t115) % 29.34/29.60 (step @p156 :rule and_intro :premises (@p713 @p132 @p126)) % 29.34/29.60 (step-pop @p716 :rule scope :premises (@p156)) % 29.34/29.60 (step-pop @p717 :rule scope :premises (@p716)) % 29.34/29.60 (step-pop @p718 :rule scope :premises (@p717)) % 29.34/29.60 (step @p157 :rule process_scope :premises (@p718) :args (@t124)) % 29.34/29.60 (step @p161 :rule implies_elim :premises (@p157)) % 29.34/29.60 (step @p162 :rule resolution :premises (@p161 @p149) :args (true @t124)) % 29.34/29.60 (step @p163 :rule not_and :premises (@p162)) % 29.34/29.60 (step @p164 :rule eq_resolve :premises (@p163 @p136)) % 29.34/29.60 (step @p165 :rule chain_m_resolution :premises (@p164 @p126 @p132) :args (@t121 @t125 (@list @t117 @t115))) % 29.34/29.60 (step @p166 :rule cnf_or_pos :args (@t127)) % 29.34/29.60 (step @p167 :rule reordering :premises (@p166) :args ((or @t70 @t122 @t72 @t105 @t126 (not @t127)))) % 29.34/29.60 (step @p168 :rule chain_m_resolution :premises (@p167 @p40 @p165 @p26 @p101 @p106) :args (@t126 @t76 (@list @t61 @t121 @t71 @t104 @t127))) % 29.34/29.60 (assume-push @p719 @t107) % 29.34/29.60 (assume-push @p720 @t89) % 29.34/29.60 (assume-push @p721 @t126) % 29.34/29.60 (assume-push @p722 @t126) % 29.34/29.60 (assume-push @p723 @t89) % 29.34/29.60 (assume-push @p724 @t107) % 29.34/29.60 (step @p175 :rule true_intro :premises (@p721)) % 29.34/29.60 (step @p176 :rule cong :premises (@p67 @p105 @p121) :args (@t128)) % 29.34/29.60 (step @p177 :rule trans :premises (@p176 @p175)) % 29.34/29.60 (step @p178 :rule true_elim :premises (@p177)) % 29.34/29.60 (step-pop @p725 :rule scope :premises (@p178)) % 29.34/29.60 (step-pop @p726 :rule scope :premises (@p725)) % 29.34/29.60 (step-pop @p727 :rule scope :premises (@p726)) % 29.34/29.60 (step @p179 :rule process_scope :premises (@p727) :args (@t128)) % 29.34/29.60 (step @p183 :rule and_intro :premises (@p721 @p67 @p105)) % 29.34/29.60 (step @p184 :rule modus_ponens :premises (@p183 @p179)) % 29.34/29.60 (step-pop @p728 :rule scope :premises (@p184)) % 29.34/29.60 (step-pop @p729 :rule scope :premises (@p728)) % 29.34/29.60 (step-pop @p730 :rule scope :premises (@p729)) % 29.34/29.60 (step @p185 :rule process_scope :premises (@p730) :args (@t128)) % 29.34/29.60 (step @p189 :rule implies_elim :premises (@p185)) % 29.34/29.60 (step @p190 :rule cnf_and_neg :args (@t129)) % 29.34/29.60 (step @p191 :rule resolution :premises (@p190 @p189) :args (true @t129)) % 29.34/29.60 (step @p192 :rule reordering :premises (@p191) :args ((or @t128 (not @t107) @t130 (not @t126)))) % 29.34/29.60 (step @p193 :rule chain_m_resolution :premises (@p192 @p168 @p67 @p105) :args (@t128 @t60 (@list @t126 @t89 @t107))) % 29.34/29.60 (step @p194 :rule cnf_or_pos :args (@t133)) % 29.34/29.60 (step @p195 :rule reordering :premises (@p194) :args ((or @t131 @t70 @t132 (not @t133)))) % 29.34/29.60 (step @p196 :rule chain_m_resolution :premises (@p195 @p40 @p193 @p87) :args (@t131 @t60 (@list @t61 @t128 @t133))) % 29.34/29.60 (assume-push @p731 @t64) % 29.34/29.60 (assume-push @p732 @t78) % 29.34/29.60 (assume-push @p733 @t131) % 29.34/29.60 (assume-push @p734 @t64) % 29.34/29.60 (assume-push @p735 @t131) % 29.34/29.60 (assume-push @p736 @t78) % 29.34/29.60 (step @p203 :rule true_intro :premises (@p36)) % 29.34/29.60 (step @p204 :rule refl :args (tptp.additive_identity)) % 29.34/29.60 (step @p143 :rule refl :args (tptp.a)) % 29.34/29.60 (step @p205 :rule cong :premises (@p143 @p733 @p204) :args 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27.45/29.60 (step-pop @p834 :rule scope :premises (@p833)) % 27.45/29.60 (step-pop @p835 :rule scope :premises (@p834)) % 27.45/29.60 (step-pop @p836 :rule scope :premises (@p835)) % 27.45/29.60 (step @p541 :rule process_scope :premises (@p836) :args (@t239)) % 27.45/29.60 (step @p546 :rule implies_elim :premises (@p541)) % 27.45/29.60 (step @p547 :rule cnf_and_neg :args (@t240)) % 27.45/29.60 (step @p548 :rule resolution :premises (@p547 @p546) :args (true @t240)) % 27.45/29.60 (step @p549 :rule reordering :premises (@p548) :args ((or @t130 @t207 @t206 @t239 @t241))) % 27.45/29.60 (step @p550 :rule instantiate :premises (@p12) :args ((@list @t47 tptp.a @t136 tptp.a @t136 tptp.additive_identity @t48))) % 27.45/29.60 (assume-push @p837 @t89) % 27.45/29.60 (assume-push @p838 @t98) % 27.45/29.60 (assume-push @p839 @t232) % 27.45/29.60 (assume-push @p840 @t232) % 27.45/29.60 (assume-push @p841 @t89) % 27.45/29.60 (assume-push @p842 @t98) % 27.45/29.60 (step @p557 :rule true_intro :premises 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@p859 @t251) % 27.45/29.60 (assume-push @p860 @t78) % 27.45/29.60 (step @p615 :rule false_intro :premises (@p858)) % 27.45/29.60 (step @p616 :rule cong :premises (@p52 @p342 @p367) :args (@t254)) % 27.45/29.60 (step @p617 :rule trans :premises (@p616 @p615)) % 27.45/29.60 (step @p618 :rule false_elim :premises (@p617)) % 27.45/29.60 (step-pop @p861 :rule scope :premises (@p618)) % 27.45/29.60 (step-pop @p862 :rule scope :premises (@p861)) % 27.45/29.60 (step @p619 :rule process_scope :premises (@p862) :args (@t257)) % 27.45/29.60 (step @p622 :rule and_intro :premises (@p858 @p52)) % 27.45/29.60 (step @p623 :rule modus_ponens :premises (@p622 @p619)) % 27.45/29.60 (step-pop @p863 :rule scope :premises (@p623)) % 27.45/29.60 (step-pop @p864 :rule scope :premises (@p863)) % 27.45/29.60 (step @p624 :rule process_scope :premises (@p864) :args (@t257)) % 27.45/29.60 (step @p627 :rule implies_elim :premises (@p624)) % 27.45/29.60 (step @p628 :rule cnf_and_neg :args (@t259)) % 27.45/29.60 (step @p629 :rule resolution :premises (@p628 @p627) :args (true @t259)) % 27.45/29.60 (step @p630 :rule eq_resolve :premises (@p629 @p610)) % 27.45/29.60 (step @p631 :rule reordering :premises (@p630) :args ((or @t258 @t257 @t250))) % 27.45/29.60 (step @p632 :rule chain_m_resolution :premises (@p631 @p52 @p606 @p604 @p370 @p29 @p603 @p601 @p441 @p600 @p549 @p519 @p225 @p67 @p435 @p399 @p225 @p67) :args (@t206 (@list false false false false false true false false false false false false false true true false false) (@list @t78 @t254 @t256 @t193 @t55 @t250 @t253 @t209 @t245 @t239 @t235 @t98 @t89 @t203 @t199 @t98 @t89))) % 27.45/29.60 (step @p633 :rule refl :args (@t261)) % 27.45/29.60 (step @p634 :rule bool-double-not-elim :args (@t205)) % 27.45/29.60 (step @p635 :rule nary_cong :premises (@p403 @p402 @p634 @p633) :args ((or @t130 @t207 (not @t206) @t261))) % 27.45/29.60 (assume-push @p865 @t89) % 27.45/29.60 (assume-push @p866 @t98) % 27.45/29.60 (assume-push @p867 @t206) % 27.45/29.60 (assume-push @p868 @t206) % 27.45/29.60 (assume-push @p869 @t98) % 27.45/29.60 (assume-push @p870 @t89) % 27.45/29.60 (step @p642 :rule false_intro :premises (@p867)) % 27.45/29.60 (step @p558 :rule refl :args (@t48)) % 27.45/29.60 (step @p643 :rule symm :premises (@p866)) % 27.45/29.60 (step @p644 :rule trans :premises (@p67 @p643)) % 27.45/29.60 (step @p645 :rule cong :premises (@p644 @p558) :args (@t260)) % 27.45/29.60 (step @p646 :rule trans :premises (@p645 @p642)) % 27.45/29.60 (step @p647 :rule false_elim :premises (@p646)) % 27.45/29.60 (step-pop @p871 :rule scope :premises (@p647)) % 27.45/29.60 (step-pop @p872 :rule scope :premises (@p871)) % 27.45/29.60 (step-pop @p873 :rule scope :premises (@p872)) % 27.45/29.60 (step @p648 :rule process_scope :premises (@p873) :args (@t261)) % 27.45/29.60 (step @p652 :rule and_intro :premises (@p867 @p866 @p67)) % 27.45/29.60 (step @p653 :rule modus_ponens :premises (@p652 @p648)) % 27.45/29.60 (step-pop @p874 :rule scope :premises (@p653)) % 27.45/29.60 (step-pop @p875 :rule scope :premises (@p874)) % 27.45/29.60 (step-pop @p876 :rule scope :premises (@p875)) % 27.45/29.60 (step @p654 :rule process_scope :premises (@p876) :args (@t261)) % 27.45/29.60 (step @p658 :rule implies_elim :premises (@p654)) % 27.45/29.60 (step @p659 :rule cnf_and_neg :args (@t262)) % 27.45/29.60 (step @p660 :rule resolution :premises (@p659 @p658) :args (true @t262)) % 27.45/29.60 (step @p661 :rule eq_resolve :premises (@p660 @p635)) % 27.45/29.60 (step @p662 :rule chain_m_resolution :premises (@p661 @p67 @p225 @p632) :args (@t261 @t263 (@list @t89 @t98 @t205))) % 27.45/29.60 (step @p663 :rule cnf_or_pos :args (@t266)) % 27.45/29.60 (step @p664 :rule reordering :premises (@p663) :args ((or @t225 @t260 @t265 (not @t266)))) % 27.45/29.60 (step @p665 :rule chain_m_resolution :premises (@p664 @p485 @p662 @p23) :args (@t265 @t166 (@list @t219 @t260 @t266))) % 27.45/29.60 (step @p666 :rule instantiate :premises (@p7) :args ((@list @t77 @t49 @t136 @t77 @t136 @t49))) % 27.45/29.60 (assume-push @p877 @t78) % 27.45/29.60 (assume-push @p878 @t224) % 27.45/29.60 (assume-push @p879 @t224) % 27.45/29.60 (assume-push @p880 @t78) % 27.45/29.60 (step @p671 :rule true_intro :premises (@p878)) % 27.45/29.60 (step @p672 :rule cong :premises (@p342 @p53 @p367) :args (@t267)) % 27.45/29.60 (step @p673 :rule trans :premises (@p672 @p671)) % 27.45/29.60 (step @p674 :rule true_elim :premises (@p673)) % 27.45/29.60 (step-pop @p881 :rule scope :premises (@p674)) % 27.45/29.60 (step-pop @p882 :rule scope :premises (@p881)) % 27.45/29.60 (step @p675 :rule process_scope :premises (@p882) :args (@t267)) % 27.45/29.60 (step @p678 :rule and_intro :premises (@p878 @p52)) % 27.45/29.60 (step @p679 :rule modus_ponens :premises (@p678 @p675)) % 27.45/29.60 (step-pop @p883 :rule scope :premises (@p679)) % 27.45/29.60 (step-pop @p884 :rule scope :premises (@p883)) % 27.45/29.60 (step @p680 :rule process_scope :premises (@p884) :args (@t267)) % 27.45/29.60 (step @p683 :rule implies_elim :premises (@p680)) % 27.45/29.60 (step @p684 :rule cnf_and_neg :args (@t268)) % 27.45/29.60 (step @p685 :rule resolution :premises (@p684 @p683) :args (true @t268)) % 27.45/29.60 (step @p686 :rule chain_m_resolution :premises (@p685 @p52 @p488) :args (@t267 @t125 (@list @t78 @t224))) % 27.45/29.60 (step @p687 :rule cnf_or_pos :args (@t270)) % 27.45/29.60 (step @p688 :rule reordering :premises (@p687) :args ((or @t210 @t252 @t250 @t269 (not @t270)))) % 27.45/29.60 (step @p689 :rule chain_m_resolution :premises (@p688 @p365 @p441 @p686 @p666) :args (@t250 @t67 (@list @t191 @t209 @t267 @t270))) % 27.45/29.60 (step @p690 :rule chain_m_resolution :premises (@p603 @p600 @p441 @p689 @p601) :args (@t203 @t67 (@list @t245 @t209 @t250 @t253))) % 27.45/29.60 (step @p691 :rule cnf_or_pos :args (@t271)) % 27.45/29.60 (step @p692 :rule factoring :premises (@p691)) % 27.45/29.60 (step @p693 :rule reordering :premises (@p692) :args ((or @t241 @t204 @t264 @t272))) % 27.45/29.60 (step @p694 :rule chain_m_resolution :premises (@p693 @p519 @p690 @p665) :args (@t272 @t263 (@list @t235 @t203 @t264))) % 27.45/29.60 (assume-push @p885 @t15) % 27.45/29.60 (step @p696 :rule instantiate :premises (@p7) :args ((@list @t49 @t49 @t48 @t49 @t48 @t49))) % 27.45/29.60 (step-pop @p886 :rule scope :premises (@p696)) % 27.45/29.60 (step @p697 :rule process_scope :premises (@p886) :args (@t271)) % 27.45/29.60 (step @p699 :rule implies_elim :premises (@p697)) % 27.45/29.60 (step @p700 false :rule chain_m_resolution :premises (@p699 @p694 @p7) :args (false @t157 (@list @t271 @t15))) % 27.45/29.60 ) % 27.45/29.60 % SZS output end Proof % 27.45/29.60 % cvc5 exiting %------------------------------------------------------------------------------