%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC347+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:58:57 AM UTC 2026 % Result : Theorem 1.02s 1.28s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC347+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n019.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:42:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.02/1.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.28 % SZS status Theorem % 1.02/1.28 % SZS output start Proof % 1.02/1.28 ( % 1.02/1.28 (declare-sort $$unsorted 0) % 1.02/1.28 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.02/1.28 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.02/1.28 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.28 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.28 (declare-const tptp.nil $$unsorted) % 1.02/1.28 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.02/1.28 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.02/1.28 (define @t1 () (@var "V" $$unsorted)) % 1.02/1.28 (define @t2 () (@var "U" $$unsorted)) % 1.02/1.28 (define @t3 () (= @t2 @t1)) % 1.02/1.28 (define @t4 () (not @t3)) % 1.02/1.28 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.02/1.28 (define @t6 () (tptp.ssItem @t1)) % 1.02/1.28 (define @t7 () (@list @t1)) % 1.02/1.28 (define @t8 () (tptp.ssItem @t2)) % 1.02/1.28 (define @t9 () (@list @t2)) % 1.02/1.28 (define @t10 () (@var "X" $$unsorted)) % 1.02/1.28 (define @t11 () (tptp.cons @t1 @t10)) % 1.02/1.28 (define @t12 () (@var "W" $$unsorted)) % 1.02/1.28 (define @t13 () (tptp.ssList @t10)) % 1.02/1.28 (define @t14 () (@list @t10)) % 1.02/1.28 (define @t15 () (tptp.ssList @t12)) % 1.02/1.28 (define @t16 () (@list @t12)) % 1.02/1.28 (define @t17 () (tptp.ssList @t2)) % 1.02/1.28 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.02/1.28 (define @t19 () (tptp.app @t1 @t12)) % 1.02/1.28 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.02/1.28 (define @t21 () (tptp.ssList @t1)) % 1.02/1.28 (define @t22 () (tptp.app @t12 @t1)) % 1.02/1.28 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.02/1.28 (define @t24 () (tptp.app @t22 @t10)) % 1.02/1.28 (define @t25 () (and @t13 (= @t24 @t2))) % 1.02/1.28 (define @t26 () (exists @t14 @t25)) % 1.02/1.28 (define @t27 () (and @t15 @t26)) % 1.02/1.28 (define @t28 () (exists @t16 @t27)) % 1.02/1.28 (define @t29 () (tptp.segmentP @t2 @t1)) % 1.02/1.28 (define @t30 () (= @t29 @t28)) % 1.02/1.28 (define @t31 () (=> @t21 @t30)) % 1.02/1.28 (define @t32 () (forall @t7 @t31)) % 1.02/1.28 (define @t33 () (=> @t17 @t32)) % 1.02/1.28 (define @t34 () (forall @t9 @t33)) % 1.02/1.28 (define @t35 () (tptp.leq @t12 @t1)) % 1.02/1.28 (define @t36 () (tptp.leq @t1 @t12)) % 1.02/1.28 (define @t37 () (@var "Z" $$unsorted)) % 1.02/1.28 (define @t38 () (@var "Y" $$unsorted)) % 1.02/1.28 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 1.02/1.28 (define @t40 () (tptp.ssList @t37)) % 1.02/1.28 (define @t41 () (@list @t37)) % 1.02/1.28 (define @t42 () (tptp.ssList @t38)) % 1.02/1.28 (define @t43 () (@list @t38)) % 1.02/1.28 (define @t44 () (tptp.ssItem @t12)) % 1.02/1.28 (define @t45 () (tptp.lt @t1 @t12)) % 1.02/1.28 (define @t46 () (tptp.strictorderedP @t2)) % 1.02/1.28 (define @t47 () (= @t1 @t12)) % 1.02/1.28 (define @t48 () (tptp.cons @t1 @t2)) % 1.02/1.28 (define @t49 () (tptp.ssList tptp.nil)) % 1.02/1.28 (define @t50 () (= @t1 @t2)) % 1.02/1.28 (define @t51 () (tptp.cons @t12 @t1)) % 1.02/1.28 (define @t52 () (= tptp.nil @t2)) % 1.02/1.28 (define @t53 () (tptp.hd @t2)) % 1.02/1.28 (define @t54 () (not @t52)) % 1.02/1.28 (define @t55 () (tptp.tl @t2)) % 1.02/1.28 (define @t56 () (tptp.app @t2 @t1)) % 1.02/1.28 (define @t57 () (tptp.app @t1 @t2)) % 1.02/1.28 (define @t58 () (tptp.app tptp.nil @t2)) % 1.02/1.28 (define @t59 () (=> @t17 (= @t58 @t2))) % 1.02/1.28 (define @t60 () (forall @t9 @t59)) % 1.02/1.28 (define @t61 () (tptp.leq @t1 @t2)) % 1.02/1.28 (define @t62 () (tptp.leq @t2 @t1)) % 1.02/1.28 (define @t63 () (tptp.geq @t2 @t1)) % 1.02/1.28 (define @t64 () (tptp.lt @t1 @t2)) % 1.02/1.28 (define @t65 () (tptp.lt @t2 @t1)) % 1.02/1.28 (define @t66 () (tptp.lt @t2 @t12)) % 1.02/1.28 (define @t67 () (tptp.gt @t2 @t1)) % 1.02/1.28 (define @t68 () (tptp.memberP @t12 @t2)) % 1.02/1.28 (define @t69 () (tptp.app @t12 @t2)) % 1.02/1.28 (define @t70 () (tptp.segmentP @t1 @t2)) % 1.02/1.28 (define @t71 () (tptp.cons @t2 tptp.nil)) % 1.02/1.28 (define @t72 () (tptp.hd @t1)) % 1.02/1.28 (define @t73 () (= tptp.nil @t1)) % 1.02/1.28 (define @t74 () (not @t73)) % 1.02/1.28 (define @t75 () (tptp.cons @t2 @t1)) % 1.02/1.28 (define @t76 () (= @t12 @t2)) % 1.02/1.28 (define @t77 () (and @t70 @t46)) % 1.02/1.28 (define @t78 () (not (= tptp.nil @t10))) % 1.02/1.28 (define @t79 () (and @t78 (= tptp.nil @t12))) % 1.02/1.28 (define @t80 () (@var "X2" $$unsorted)) % 1.02/1.28 (define @t81 () (tptp.lt @t80 @t37)) % 1.02/1.28 (define @t82 () (tptp.cons @t80 tptp.nil)) % 1.02/1.28 (define @t83 () (@var "X3" $$unsorted)) % 1.02/1.28 (define @t84 () (tptp.app @t83 @t82)) % 1.02/1.28 (define @t85 () (tptp.ssList @t83)) % 1.02/1.28 (define @t86 () (and @t85 (= @t84 @t12) @t81)) % 1.02/1.28 (define @t87 () (@list @t83)) % 1.02/1.28 (define @t88 () (exists @t87 @t86)) % 1.02/1.28 (define @t89 () (tptp.ssItem @t80)) % 1.02/1.28 (define @t90 () (and @t89 @t88)) % 1.02/1.28 (define @t91 () (@list @t80)) % 1.02/1.28 (define @t92 () (exists @t91 @t90)) % 1.02/1.28 (define @t93 () (@var "X1" $$unsorted)) % 1.02/1.28 (define @t94 () (tptp.cons @t37 tptp.nil)) % 1.02/1.28 (define @t95 () (tptp.app @t94 @t93)) % 1.02/1.28 (define @t96 () (tptp.ssList @t93)) % 1.02/1.28 (define @t97 () (and @t96 (= @t95 @t38) @t92)) % 1.02/1.28 (define @t98 () (@list @t93)) % 1.02/1.28 (define @t99 () (exists @t98 @t97)) % 1.02/1.28 (define @t100 () (tptp.ssItem @t37)) % 1.02/1.28 (define @t101 () (and @t100 @t99)) % 1.02/1.28 (define @t102 () (exists @t41 @t101)) % 1.02/1.28 (define @t103 () (not (tptp.strictorderedP @t12))) % 1.02/1.28 (define @t104 () (tptp.app @t12 @t38)) % 1.02/1.28 (define @t105 () (not (= @t104 @t10))) % 1.02/1.28 (define @t106 () (or @t105 @t103 @t102)) % 1.02/1.28 (define @t107 () (=> @t42 @t106)) % 1.02/1.28 (define @t108 () (forall @t43 @t107)) % 1.02/1.28 (define @t109 () (not (= @t2 @t12))) % 1.02/1.28 (define @t110 () (not (= @t1 @t10))) % 1.02/1.28 (define @t111 () (or @t110 @t109 @t108 @t79 @t77)) % 1.02/1.28 (define @t112 () (=> @t13 @t111)) % 1.02/1.28 (define @t113 () (forall @t14 @t112)) % 1.02/1.28 (define @t114 () (=> @t15 @t113)) % 1.02/1.28 (define @t115 () (forall @t16 @t114)) % 1.02/1.28 (define @t116 () (=> @t21 @t115)) % 1.02/1.28 (define @t117 () (forall @t7 @t116)) % 1.02/1.28 (define @t118 () (=> @t17 @t117)) % 1.02/1.28 (define @t119 () (forall @t9 @t118)) % 1.02/1.28 (define @t120 () (not @t119)) % 1.02/1.28 (define @t121 () (= @t2 @t58)) % 1.02/1.28 (define @t122 () (@var "BOUND_VARIABLE_11192" $$unsorted)) % 1.02/1.28 (define @t123 () (@var "BOUND_VARIABLE_11024" $$unsorted)) % 1.02/1.28 (define @t124 () (tptp.app @t94 @t123)) % 1.02/1.28 (define @t125 () (not (tptp.ssList @t123))) % 1.02/1.28 (define @t126 () (@var "BOUND_VARIABLE_11009" $$unsorted)) % 1.02/1.28 (define @t127 () (@var "BOUND_VARIABLE_11011" $$unsorted)) % 1.02/1.28 (define @t128 () (tptp.app @t127 (tptp.cons @t126 tptp.nil))) % 1.02/1.28 (define @t129 () (not (= @t2 @t128))) % 1.02/1.28 (define @t130 () (not (tptp.ssList @t127))) % 1.02/1.28 (define @t131 () (not (tptp.lt @t126 @t37))) % 1.02/1.28 (define @t132 () (not (tptp.ssItem @t126))) % 1.02/1.28 (define @t133 () (not @t100)) % 1.02/1.28 (define @t134 () (@list @t37 @t126 @t127 @t123)) % 1.02/1.28 (define @t135 () (not (forall @t134 (or @t133 @t132 @t131 @t130 @t129 @t125 (not (= @t124 @t122)))))) % 1.02/1.28 (define @t136 () (not (tptp.ssList @t122))) % 1.02/1.28 (define @t137 () (= @t2 tptp.nil)) % 1.02/1.28 (define @t138 () (tptp.app @t2 @t122)) % 1.02/1.28 (define @t139 () (and (not (= tptp.nil @t138)) @t137)) % 1.02/1.28 (define @t140 () (and (tptp.segmentP @t138 @t2) @t46)) % 1.02/1.28 (define @t141 () (not (tptp.ssList @t138))) % 1.02/1.28 (define @t142 () (not @t46)) % 1.02/1.28 (define @t143 () (not @t17)) % 1.02/1.28 (define @t144 () (or @t143 @t142 @t141 @t140 @t139 @t136 @t135)) % 1.02/1.28 (define @t145 () (@list @t2 @t122)) % 1.02/1.28 (define @t146 () (forall @t145 @t144)) % 1.02/1.28 (define @t147 () (@quantifiers_skolemize @t146 0)) % 1.02/1.28 (define @t148 () (or @t141 @t140 @t139 @t136 @t135)) % 1.02/1.28 (define @t149 () (or @t143 @t142 @t148)) % 1.02/1.28 (define @t150 () (forall @t145 @t149)) % 1.02/1.28 (define @t151 () (@list @t122)) % 1.02/1.28 (define @t152 () (forall @t151 @t149)) % 1.02/1.28 (define @t153 () (forall @t151 @t148)) % 1.02/1.28 (define @t154 () (@var "BOUND_VARIABLE_11152" $$unsorted)) % 1.02/1.28 (define @t155 () (@list @t154)) % 1.02/1.28 (define @t156 () (or @t143 @t142 @t153)) % 1.02/1.28 (define @t157 () (not (forall @t134 (or @t133 @t132 @t131 @t130 @t129 @t125 (not (= @t124 @t154)))))) % 1.02/1.28 (define @t158 () (not (tptp.ssList @t154))) % 1.02/1.28 (define @t159 () (tptp.app @t2 @t154)) % 1.02/1.28 (define @t160 () (and (not (= tptp.nil @t159)) @t137)) % 1.02/1.28 (define @t161 () (and (tptp.segmentP @t159 @t2) @t46)) % 1.02/1.28 (define @t162 () (not (tptp.ssList @t159))) % 1.02/1.28 (define @t163 () (or @t162 @t161 @t160 @t158 @t157)) % 1.02/1.28 (define @t164 () (@list @t154)) % 1.02/1.28 (define @t165 () (or @t143 @t142 (forall @t164 @t163))) % 1.02/1.28 (define @t166 () (not (= @t159 @t159))) % 1.02/1.28 (define @t167 () (not (= @t159 tptp.nil))) % 1.02/1.28 (define @t168 () (and @t167 @t137)) % 1.02/1.28 (define @t169 () (or @t162 @t161 @t168 @t158 @t166 @t157)) % 1.02/1.28 (define @t170 () (not (= @t1 @t159))) % 1.02/1.28 (define @t171 () (not (= @t1 tptp.nil))) % 1.02/1.28 (define @t172 () (and @t171 @t137)) % 1.02/1.28 (define @t173 () (not @t21)) % 1.02/1.28 (define @t174 () (or @t170 @t173 @t77 @t172 @t158 @t170 @t157)) % 1.02/1.28 (define @t175 () (or @t173 @t77 @t172 @t158 @t170 @t157)) % 1.02/1.28 (define @t176 () (forall @t7 @t175)) % 1.02/1.28 (define @t177 () (forall @t164 @t176)) % 1.02/1.28 (define @t178 () (forall (@list @t154 @t1) @t175)) % 1.02/1.28 (define @t179 () (@list @t1 @t154)) % 1.02/1.28 (define @t180 () (or @t158 @t170 @t157)) % 1.02/1.28 (define @t181 () (or @t173 @t77 @t172 @t180)) % 1.02/1.28 (define @t182 () (forall @t179 @t181)) % 1.02/1.28 (define @t183 () (forall @t164 @t181)) % 1.02/1.28 (define @t184 () (forall @t164 @t180)) % 1.02/1.28 (define @t185 () (@var "BOUND_VARIABLE_11104" $$unsorted)) % 1.02/1.28 (define @t186 () (@list @t185)) % 1.02/1.28 (define @t187 () (or @t173 @t77 @t172 @t184)) % 1.02/1.28 (define @t188 () (not (= @t124 @t185))) % 1.02/1.28 (define @t189 () (not (forall @t134 (or @t133 @t132 @t131 @t130 @t129 @t125 @t188)))) % 1.02/1.28 (define @t190 () (not (= @t1 (tptp.app @t2 @t185)))) % 1.02/1.28 (define @t191 () (not (tptp.ssList @t185))) % 1.02/1.28 (define @t192 () (or @t191 @t190 @t189)) % 1.02/1.28 (define @t193 () (@list @t185)) % 1.02/1.28 (define @t194 () (forall @t193 @t192)) % 1.02/1.28 (define @t195 () (or @t173 @t77 @t172 @t194)) % 1.02/1.28 (define @t196 () (forall @t7 @t195)) % 1.02/1.28 (define @t197 () (or @t143 @t142 @t196)) % 1.02/1.28 (define @t198 () (or @t143 @t142 @t195)) % 1.02/1.28 (define @t199 () (or @t173 @t77 @t143 @t142 @t172 @t194)) % 1.02/1.28 (define @t200 () (or @t77 @t173 @t143 @t142 @t172 @t194)) % 1.02/1.28 (define @t201 () (or @t143 @t142 @t172 @t194)) % 1.02/1.28 (define @t202 () (or @t143 @t142 @t172 @t192)) % 1.02/1.28 (define @t203 () (or @t143 @t142 @t172 @t191 @t190 @t189)) % 1.02/1.28 (define @t204 () (not (= @t2 @t2))) % 1.02/1.28 (define @t205 () (or @t143 @t204 @t142 @t172 @t191 @t190 @t189)) % 1.02/1.28 (define @t206 () (not (= @t12 @t128))) % 1.02/1.28 (define @t207 () (not (forall @t134 (or @t133 @t132 @t131 @t130 @t206 @t125 @t188)))) % 1.02/1.28 (define @t208 () (not (= @t1 (tptp.app @t12 @t185)))) % 1.02/1.28 (define @t209 () (= @t12 tptp.nil)) % 1.02/1.28 (define @t210 () (and @t171 @t209)) % 1.02/1.28 (define @t211 () (not @t15)) % 1.02/1.28 (define @t212 () (or @t109 @t211 @t109 @t103 @t210 @t191 @t208 @t207)) % 1.02/1.28 (define @t213 () (or @t211 @t109 @t103 @t210 @t191 @t208 @t207)) % 1.02/1.28 (define @t214 () (forall @t16 @t213)) % 1.02/1.28 (define @t215 () (forall @t193 @t214)) % 1.02/1.28 (define @t216 () (forall (@list @t185 @t12) @t213)) % 1.02/1.28 (define @t217 () (@list @t12 @t185)) % 1.02/1.28 (define @t218 () (or @t191 @t208 @t207)) % 1.02/1.28 (define @t219 () (or @t211 @t109 @t103 @t210 @t218)) % 1.02/1.28 (define @t220 () (forall @t217 @t219)) % 1.02/1.28 (define @t221 () (forall @t193 @t219)) % 1.02/1.28 (define @t222 () (forall @t193 @t218)) % 1.02/1.28 (define @t223 () (@var "BOUND_VARIABLE_11059" $$unsorted)) % 1.02/1.28 (define @t224 () (@list @t223)) % 1.02/1.28 (define @t225 () (or @t211 @t109 @t103 @t210 @t222)) % 1.02/1.28 (define @t226 () (not (forall @t134 (or @t133 @t132 @t131 @t130 @t206 @t125 (not (= @t124 @t223)))))) % 1.02/1.28 (define @t227 () (tptp.app @t12 @t223)) % 1.02/1.28 (define @t228 () (not (= @t1 @t227))) % 1.02/1.28 (define @t229 () (not (tptp.ssList @t223))) % 1.02/1.28 (define @t230 () (or @t229 @t228 @t226)) % 1.02/1.28 (define @t231 () (@list @t223)) % 1.02/1.28 (define @t232 () (forall @t231 @t230)) % 1.02/1.28 (define @t233 () (or @t211 @t109 @t103 @t210 @t232)) % 1.02/1.28 (define @t234 () (forall @t16 @t233)) % 1.02/1.28 (define @t235 () (or @t77 @t173 @t234)) % 1.02/1.28 (define @t236 () (or @t77 @t173 @t233)) % 1.02/1.28 (define @t237 () (or @t211 @t109 @t77 @t103 @t173 @t210 @t232)) % 1.02/1.28 (define @t238 () (or @t109 @t77 @t103 @t173 @t210 @t232)) % 1.02/1.28 (define @t239 () (or @t173 @t210 @t232)) % 1.02/1.28 (define @t240 () (or @t173 @t210 @t230)) % 1.02/1.28 (define @t241 () (or @t173 @t210 @t229 @t228 @t226)) % 1.02/1.28 (define @t242 () (not (= @t1 @t1))) % 1.02/1.28 (define @t243 () (or @t173 @t242 @t210 @t229 @t228 @t226)) % 1.02/1.28 (define @t244 () (not (= @t10 @t227))) % 1.02/1.28 (define @t245 () (and (not (= @t10 tptp.nil)) @t209)) % 1.02/1.28 (define @t246 () (not @t13)) % 1.02/1.28 (define @t247 () (or @t110 @t246 @t110 @t245 @t229 @t244 @t226)) % 1.02/1.28 (define @t248 () (or @t246 @t110 @t245 @t229 @t244 @t226)) % 1.02/1.28 (define @t249 () (forall @t14 @t248)) % 1.02/1.28 (define @t250 () (forall @t231 @t249)) % 1.02/1.28 (define @t251 () (forall (@list @t223 @t10) @t248)) % 1.02/1.28 (define @t252 () (@list @t10 @t223)) % 1.02/1.28 (define @t253 () (not (= @t223 @t124))) % 1.02/1.28 (define @t254 () (or @t133 @t132 @t131 @t130 @t206 @t125 @t253)) % 1.02/1.28 (define @t255 () (forall @t134 @t254)) % 1.02/1.28 (define @t256 () (not @t255)) % 1.02/1.28 (define @t257 () (or @t246 @t110 @t245 @t229 @t244 @t256)) % 1.02/1.28 (define @t258 () (or @t229 @t244 @t256)) % 1.02/1.28 (define @t259 () (or @t246 @t110 @t245 @t258)) % 1.02/1.28 (define @t260 () (forall @t252 @t259)) % 1.02/1.28 (define @t261 () (forall @t231 @t259)) % 1.02/1.28 (define @t262 () (forall @t231 @t258)) % 1.02/1.28 (define @t263 () (or @t246 @t110 @t245 @t262)) % 1.02/1.28 (define @t264 () (not (= @t38 @t124))) % 1.02/1.28 (define @t265 () (or @t133 @t132 @t131 @t130 @t206 @t125 @t264)) % 1.02/1.28 (define @t266 () (not (forall @t134 @t265))) % 1.02/1.28 (define @t267 () (not (= @t10 @t104))) % 1.02/1.28 (define @t268 () (not @t42)) % 1.02/1.28 (define @t269 () (or @t268 @t267 @t266)) % 1.02/1.28 (define @t270 () (forall @t43 @t269)) % 1.02/1.28 (define @t271 () (or @t246 @t110 @t245 @t270)) % 1.02/1.28 (define @t272 () (forall @t14 @t271)) % 1.02/1.28 (define @t273 () (or @t109 @t77 @t103 @t272)) % 1.02/1.28 (define @t274 () (or @t109 @t77 @t103 @t271)) % 1.02/1.28 (define @t275 () (or @t246 @t110 @t109 @t245 @t77 @t103 @t270)) % 1.02/1.28 (define @t276 () (or @t110 @t109 @t245 @t77 @t103 @t270)) % 1.02/1.28 (define @t277 () (or @t103 @t270)) % 1.02/1.28 (define @t278 () (or @t103 @t269)) % 1.02/1.28 (define @t279 () (or @t268 @t267 @t103 @t266)) % 1.02/1.28 (define @t280 () (or @t267 @t103 @t266)) % 1.02/1.28 (define @t281 () (or @t125 @t264)) % 1.02/1.28 (define @t282 () (or @t132 @t131 @t130 @t206)) % 1.02/1.28 (define @t283 () (or @t133 @t282 @t281)) % 1.02/1.28 (define @t284 () (forall @t134 @t283)) % 1.02/1.28 (define @t285 () (forall (@list @t126 @t127 @t123) @t283)) % 1.02/1.28 (define @t286 () (forall (@list @t123) @t281)) % 1.02/1.28 (define @t287 () (forall (@list @t126 @t127) @t282)) % 1.02/1.28 (define @t288 () (@var "BOUND_VARIABLE_10974" $$unsorted)) % 1.02/1.28 (define @t289 () (or @t133 @t287 @t286)) % 1.02/1.28 (define @t290 () (= @t38 @t95)) % 1.02/1.28 (define @t291 () (not @t290)) % 1.02/1.28 (define @t292 () (not @t96)) % 1.02/1.28 (define @t293 () (or @t292 @t291)) % 1.02/1.28 (define @t294 () (forall @t98 @t293)) % 1.02/1.28 (define @t295 () (not (= @t12 (tptp.app @t288 @t82)))) % 1.02/1.28 (define @t296 () (not (tptp.ssList @t288))) % 1.02/1.28 (define @t297 () (not @t81)) % 1.02/1.28 (define @t298 () (not @t89)) % 1.02/1.28 (define @t299 () (or @t298 @t297 @t296 @t295)) % 1.02/1.28 (define @t300 () (@list @t80 @t288)) % 1.02/1.28 (define @t301 () (forall @t300 @t299)) % 1.02/1.28 (define @t302 () (or @t133 @t301 @t294)) % 1.02/1.28 (define @t303 () (or @t301 @t294)) % 1.02/1.28 (define @t304 () (not @t303)) % 1.02/1.28 (define @t305 () (and @t100 @t304)) % 1.02/1.28 (define @t306 () (forall @t41 (not @t305))) % 1.02/1.28 (define @t307 () (not @t306)) % 1.02/1.28 (define @t308 () (or @t301 @t293)) % 1.02/1.28 (define @t309 () (or @t292 @t291 @t301)) % 1.02/1.28 (define @t310 () (not @t301)) % 1.02/1.28 (define @t311 () (not @t310)) % 1.02/1.28 (define @t312 () (or @t292 @t291 @t311)) % 1.02/1.28 (define @t313 () (and @t96 @t290 @t310)) % 1.02/1.28 (define @t314 () (forall @t98 (not @t313))) % 1.02/1.28 (define @t315 () (not @t314)) % 1.02/1.28 (define @t316 () (or @t296 @t295)) % 1.02/1.28 (define @t317 () (or @t298 @t297 @t316)) % 1.02/1.28 (define @t318 () (forall @t300 @t317)) % 1.02/1.28 (define @t319 () (@list @t288)) % 1.02/1.28 (define @t320 () (forall @t319 @t317)) % 1.02/1.28 (define @t321 () (forall @t319 @t316)) % 1.02/1.28 (define @t322 () (or @t298 @t297 @t321)) % 1.02/1.28 (define @t323 () (= @t12 @t84)) % 1.02/1.28 (define @t324 () (not @t323)) % 1.02/1.28 (define @t325 () (not @t85)) % 1.02/1.28 (define @t326 () (or @t325 @t324)) % 1.02/1.28 (define @t327 () (forall @t87 @t326)) % 1.02/1.28 (define @t328 () (or @t298 @t297 @t327)) % 1.02/1.28 (define @t329 () (or @t297 @t327)) % 1.02/1.28 (define @t330 () (not @t329)) % 1.02/1.28 (define @t331 () (and @t89 @t330)) % 1.02/1.28 (define @t332 () (forall @t91 (not @t331))) % 1.02/1.28 (define @t333 () (not @t332)) % 1.02/1.28 (define @t334 () (or @t297 @t326)) % 1.02/1.28 (define @t335 () (or @t325 @t324 @t297)) % 1.02/1.28 (define @t336 () (and @t85 @t323 @t81)) % 1.02/1.28 (define @t337 () (forall @t87 (not @t336))) % 1.02/1.28 (define @t338 () (not @t337)) % 1.02/1.28 (define @t339 () (@quantifiers_skolemize @t146 1)) % 1.02/1.28 (define @t340 () (not (= @t124 @t339))) % 1.02/1.28 (define @t341 () (tptp.ssList @t339)) % 1.02/1.28 (define @t342 () (not @t341)) % 1.02/1.28 (define @t343 () (tptp.app @t147 @t339)) % 1.02/1.28 (define @t344 () (not (= tptp.nil @t343))) % 1.02/1.28 (define @t345 () (tptp.strictorderedP @t147)) % 1.02/1.28 (define @t346 () (tptp.segmentP @t343 @t147)) % 1.02/1.28 (define @t347 () (and @t346 @t345)) % 1.02/1.28 (define @t348 () (tptp.ssList @t343)) % 1.02/1.28 (define @t349 () (not @t348)) % 1.02/1.28 (define @t350 () (not @t345)) % 1.02/1.28 (define @t351 () (tptp.ssList @t147)) % 1.02/1.28 (define @t352 () (not @t351)) % 1.02/1.28 (define @t353 () (or @t352 @t350 @t349 @t347 (and @t344 (= tptp.nil @t147)) @t342 (not (forall @t134 (or @t133 @t132 @t131 @t130 (not (= @t128 @t147)) @t125 @t340))))) % 1.02/1.28 (define @t354 () (not @t353)) % 1.02/1.28 (define @t355 () (not @t146)) % 1.02/1.28 (define @t356 () (not (= @t147 @t128))) % 1.02/1.28 (define @t357 () (or @t133 @t132 @t131 @t130 @t356 @t125 @t340)) % 1.02/1.28 (define @t358 () (forall @t134 @t357)) % 1.02/1.28 (define @t359 () (not @t358)) % 1.02/1.28 (define @t360 () (and @t344 (= @t147 tptp.nil))) % 1.02/1.28 (define @t361 () (or @t352 @t350 @t349 @t347 @t360 @t342 @t359)) % 1.02/1.28 (define @t362 () (not @t361)) % 1.02/1.28 (define @t363 () (@list true)) % 1.02/1.28 (define @t364 () (@list @t353)) % 1.02/1.28 (define @t365 () (tptp.app tptp.nil @t147)) % 1.02/1.28 (define @t366 () (= @t147 @t365)) % 1.02/1.28 (define @t367 () (or @t352 @t366)) % 1.02/1.28 (define @t368 () (@list false false)) % 1.02/1.28 (define @t369 () (@list @t351 @t367)) % 1.02/1.28 (define @t370 () (@var "BOUND_VARIABLE_8407" $$unsorted)) % 1.02/1.28 (define @t371 () (@var "BOUND_VARIABLE_8430" $$unsorted)) % 1.02/1.28 (define @t372 () (not (tptp.ssList @t370))) % 1.02/1.28 (define @t373 () (@list @t12 @t370)) % 1.02/1.28 (define @t374 () (= (tptp.segmentP @t2 @t371) (not (forall @t373 (or @t211 @t372 (not (= @t2 (tptp.app (tptp.app @t12 @t371) @t370)))))))) % 1.02/1.28 (define @t375 () (not (tptp.ssList @t371))) % 1.02/1.28 (define @t376 () (or @t375 @t374)) % 1.02/1.28 (define @t377 () (or @t143 @t376)) % 1.02/1.28 (define @t378 () (forall (@list @t2 @t371) @t377)) % 1.02/1.28 (define @t379 () (@list @t371)) % 1.02/1.28 (define @t380 () (forall @t379 @t377)) % 1.02/1.28 (define @t381 () (forall @t379 @t376)) % 1.02/1.28 (define @t382 () (or @t143 @t381)) % 1.02/1.28 (define @t383 () (not (= @t2 (tptp.app @t22 @t370)))) % 1.02/1.28 (define @t384 () (or @t211 @t372 @t383)) % 1.02/1.28 (define @t385 () (= @t29 (not (forall @t373 @t384)))) % 1.02/1.28 (define @t386 () (forall @t7 (or @t173 @t385))) % 1.02/1.28 (define @t387 () (or @t372 @t383)) % 1.02/1.28 (define @t388 () (or @t211 @t387)) % 1.02/1.28 (define @t389 () (forall @t373 @t388)) % 1.02/1.28 (define @t390 () (@list @t370)) % 1.02/1.28 (define @t391 () (forall @t390 @t388)) % 1.02/1.28 (define @t392 () (forall @t390 @t387)) % 1.02/1.28 (define @t393 () (or @t211 @t392)) % 1.02/1.28 (define @t394 () (= @t2 @t24)) % 1.02/1.28 (define @t395 () (forall @t14 (or @t246 (not @t394)))) % 1.02/1.28 (define @t396 () (not @t395)) % 1.02/1.28 (define @t397 () (and @t15 @t396)) % 1.02/1.28 (define @t398 () (forall @t16 (not @t397))) % 1.02/1.28 (define @t399 () (not @t398)) % 1.02/1.28 (define @t400 () (and @t13 @t394)) % 1.02/1.28 (define @t401 () (forall @t14 (not @t400))) % 1.02/1.28 (define @t402 () (not @t401)) % 1.02/1.28 (define @t403 () (forall @t373 (or @t211 @t372 (not (= @t343 (tptp.app (tptp.app @t12 @t147) @t370)))))) % 1.02/1.28 (define @t404 () (not @t403)) % 1.02/1.28 (define @t405 () (= @t346 @t404)) % 1.02/1.28 (define @t406 () (or @t349 @t352 @t405)) % 1.02/1.28 (define @t407 () (@list false false false)) % 1.02/1.28 (define @t408 () (not @t346)) % 1.02/1.28 (define @t409 () (not @t405)) % 1.02/1.28 (define @t410 () (@list true false)) % 1.02/1.28 (define @t411 () (= @t343 (tptp.app @t365 @t339))) % 1.02/1.28 (define @t412 () (not @t411)) % 1.02/1.28 (define @t413 () (not @t49)) % 1.02/1.28 (define @t414 () (or @t413 @t342 @t412)) % 1.02/1.28 (define @t415 () (not @t366)) % 1.02/1.28 (define @t416 () (and @t411 @t412)) % 1.02/1.28 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.02/1.28 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.02/1.28 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 1.02/1.28 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.02/1.28 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.02/1.28 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.02/1.28 (assume @p7 @t34) % 1.02/1.28 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not (and @t36 @t35))))))))))))))))) % 1.02/1.28 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t36 @t35)))))))))))))))) % 1.02/1.28 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t45 (tptp.lt @t12 @t1))))))))))))))))) % 1.02/1.28 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t36))))))))))))))) % 1.02/1.28 (assume @p12 (forall @t9 (=> @t17 (= @t46 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t45))))))))))))))) % 1.02/1.28 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not @t47)))))))))))))))) % 1.02/1.28 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t38))) @t2) @t47))))))))))))) % 1.02/1.28 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 1.02/1.28 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t48)))))) % 1.02/1.28 (assume @p17 @t49) % 1.02/1.28 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t48 @t2))))))) % 1.02/1.28 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t50))))))))))) % 1.02/1.28 (assume @p20 (forall @t9 (=> @t17 (or @t52 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t51 @t2))))))))) % 1.02/1.28 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t48))))))) % 1.02/1.28 (assume @p22 (forall @t9 (=> @t17 (=> @t54 (tptp.ssItem @t53))))) % 1.02/1.28 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t48) @t1)))))) % 1.02/1.28 (assume @p24 (forall @t9 (=> @t17 (=> @t54 (tptp.ssList @t55))))) % 1.02/1.28 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t48) @t2)))))) % 1.02/1.28 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t56)))))) % 1.02/1.28 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t57) (tptp.app @t51 @t2))))))))) % 1.02/1.28 (assume @p28 @t60) % 1.02/1.28 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 @t61) @t3)))))) % 1.02/1.28 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t36) (tptp.leq @t2 @t12))))))))) % 1.02/1.28 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.02/1.28 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 @t61)))))) % 1.02/1.28 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (not @t64))))))) % 1.02/1.28 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t45) @t66)))))))) % 1.02/1.28 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 @t64)))))) % 1.02/1.28 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t68))))))))) % 1.02/1.28 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t68))))))))) % 1.02/1.28 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.02/1.28 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.02/1.28 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.02/1.28 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.02/1.28 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 1.02/1.28 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 1.02/1.28 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 1.02/1.28 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.02/1.28 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t52)))) % 1.02/1.28 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.02/1.28 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.02/1.28 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.02/1.28 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t69 @t1))))))))) % 1.02/1.28 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.02/1.28 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t52)))) % 1.02/1.28 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.02/1.28 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t70) @t3)))))) % 1.02/1.28 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 1.02/1.28 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t69 @t10) @t1))))))))))) % 1.02/1.28 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.02/1.28 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t52)))) % 1.02/1.28 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t71)))) % 1.02/1.28 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.02/1.28 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t71)))) % 1.02/1.28 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.02/1.28 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t71)))) % 1.02/1.28 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.02/1.28 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t71)))) % 1.02/1.28 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.02/1.28 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t75) (or @t73 (and @t74 (tptp.totalorderedP @t1) (tptp.leq @t2 @t72))))))))) % 1.02/1.28 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t71)))) % 1.02/1.28 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.02/1.28 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t75) (or @t73 (and @t74 (tptp.strictorderedP @t1) (tptp.lt @t2 @t72))))))))) % 1.02/1.28 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t71)))) % 1.02/1.28 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.02/1.28 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t71)))) % 1.02/1.28 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.02/1.28 (assume @p75 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t6 (= @t53 @t1))))))) % 1.02/1.28 (assume @p76 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t21 (= @t55 @t1))))))) % 1.02/1.28 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t74 @t54 (= @t72 @t53) (= (tptp.tl @t1) @t55)) @t50)))))) % 1.02/1.28 (assume @p78 (forall @t9 (=> @t17 (=> @t54 (= (tptp.cons @t53 @t55) @t2))))) % 1.02/1.28 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t56) @t76)))))))) % 1.02/1.28 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t57) @t76)))))))) % 1.02/1.28 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t48 (tptp.app @t18 @t2))))))) % 1.02/1.28 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t56 @t12) (tptp.app @t2 @t19))))))))) % 1.02/1.28 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t56) (and @t73 @t52))))))) % 1.02/1.28 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.02/1.28 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.hd @t56) @t53))))))) % 1.02/1.28 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.tl @t56) (tptp.app @t55 @t1)))))))) % 1.02/1.28 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t63 (tptp.geq @t1 @t2)) @t3)))))) % 1.02/1.28 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t63 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.02/1.28 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.02/1.28 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.02/1.28 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t45) @t66)))))))) % 1.02/1.28 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (or @t3 @t65))))))) % 1.02/1.28 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 (and @t4 @t62))))))) % 1.02/1.28 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (not (tptp.gt @t1 @t2)))))))) % 1.02/1.28 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t67 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.02/1.28 (assume @p96 @t120) % 1.02/1.28 (assume @p97 true) % 1.02/1.28 (step @p98 :rule bool-impl-elim :args (@t17 @t121)) % 1.02/1.28 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t121)))) % 1.02/1.28 (step @p100 :rule eq-symm :args (@t58 @t2)) % 1.02/1.28 (step @p101 :rule refl :args (@t17)) % 1.02/1.28 (step @p102 :rule cong :premises (@p101 @p100) :args (@t59)) % 1.02/1.28 (step @p103 :rule cong :premises (@p102) :args (@t60)) % 1.02/1.28 (step @p104 :rule trans :premises (@p103 @p99)) % 1.02/1.28 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 1.02/1.28 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t147))) % 1.02/1.28 (step @p107 :rule aci_norm :args ((= @t149 @t144))) % 1.02/1.28 (step @p108 :rule cong :premises (@p107) :args (@t150)) % 1.02/1.28 (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t152) @t150))) % 1.02/1.28 (step @p110 :rule alpha_equiv :args (@t153 (@list @t122) @t155)) % 1.02/1.28 (step @p111 :rule refl :args (@t142)) % 1.02/1.28 (step @p112 :rule refl :args (@t143)) % 1.02/1.28 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t156)) % 1.02/1.28 (step @p114 :rule quant-miniscope-or :args ((= @t152 @t156))) % 1.02/1.28 (step @p115 :rule trans :premises (@p114 @p113)) % 1.02/1.28 (step @p116 :rule symm :premises (@p115)) % 1.02/1.28 (step @p117 :rule cong :premises (@p116) :args ((forall @t9 @t165))) % 1.02/1.28 (step @p118 :rule trans :premises (@p117 @p109)) % 1.02/1.28 (step @p119 :rule trans :premises (@p118 @p108)) % 1.02/1.28 (step @p120 :rule aci_norm :args ((= (or @t143 @t165) @t165))) % 1.02/1.28 (step @p121 :rule bool-impl-elim :args (@t17 @t165)) % 1.02/1.28 (step @p122 :rule trans :premises (@p121 @p120)) % 1.02/1.28 (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (=> @t17 @t165)))) % 1.02/1.28 (step @p124 :rule trans :premises (@p123 @p119)) % 1.02/1.28 (step @p125 :rule aci_norm :args ((= (or @t162 @t161 @t160 @t158 false @t157) @t163))) % 1.02/1.28 (step @p126 :rule refl :args (@t157)) % 1.02/1.28 (step @p127 :rule evaluate :args ((not true))) % 1.02/1.28 (step @p128 :rule eq-refl :args (@t159)) % 1.02/1.28 (step @p129 :rule cong :premises (@p128) :args (@t166)) % 1.02/1.28 (step @p130 :rule trans :premises (@p129 @p127)) % 1.02/1.28 (step @p131 :rule refl :args (@t158)) % 1.02/1.28 (step @p132 :rule refl :args (@t137)) % 1.02/1.28 (step @p133 :rule eq-symm :args (@t159 tptp.nil)) % 1.02/1.28 (step @p134 :rule cong :premises (@p133) :args (@t167)) % 1.02/1.28 (step @p135 :rule nary_cong :premises (@p134 @p132) :args (@t168)) % 1.02/1.28 (step @p136 :rule refl :args (@t161)) % 1.02/1.28 (step @p137 :rule refl :args (@t162)) % 1.02/1.28 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135 @p131 @p130 @p126) :args (@t169)) % 1.02/1.28 (step @p139 :rule trans :premises (@p138 @p125)) % 1.02/1.28 (step @p140 :rule cong :premises (@p139) :args ((forall @t164 @t169))) % 1.02/1.28 (step @p141 :rule quant-var-elim-eq :args ((= (forall @t7 @t174) @t169))) % 1.02/1.28 (step @p142 :rule aci_norm :args ((= @t175 @t174))) % 1.02/1.28 (step @p143 :rule cong :premises (@p142) :args (@t176)) % 1.02/1.28 (step @p144 :rule trans :premises (@p143 @p141)) % 1.02/1.28 (step @p145 :rule cong :premises (@p144) :args (@t177)) % 1.02/1.28 (step @p146 :rule quant-merge-prenex :args ((= @t177 @t178))) % 1.02/1.28 (step @p147 :rule symm :premises (@p146)) % 1.02/1.28 (step @p148 :rule quant_var_reordering :args ((= (forall @t179 @t175) @t178))) % 1.02/1.28 (step @p149 :rule trans :premises (@p148 @p147 @p145)) % 1.02/1.28 (step @p150 :rule trans :premises (@p149 @p140)) % 1.02/1.28 (step @p151 :rule aci_norm :args ((= @t181 @t175))) % 1.02/1.28 (step @p152 :rule cong :premises (@p151) :args (@t182)) % 1.02/1.28 (step @p153 :rule trans :premises (@p152 @p150)) % 1.02/1.28 (step @p154 :rule quant-merge-prenex :args ((= (forall @t7 @t183) @t182))) % 1.02/1.28 (step @p155 :rule alpha_equiv :args (@t184 @t155 @t186)) % 1.02/1.28 (step @p156 :rule refl :args (@t172)) % 1.02/1.28 (step @p157 :rule refl :args (@t77)) % 1.02/1.28 (step @p158 :rule refl :args (@t173)) % 1.02/1.28 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155) :args (@t187)) % 1.02/1.28 (step @p160 :rule quant-miniscope-or :args ((= @t183 @t187))) % 1.02/1.28 (step @p161 :rule trans :premises (@p160 @p159)) % 1.02/1.28 (step @p162 :rule symm :premises (@p161)) % 1.02/1.28 (step @p163 :rule cong :premises (@p162) :args (@t196)) % 1.02/1.28 (step @p164 :rule trans :premises (@p163 @p154)) % 1.02/1.28 (step @p165 :rule trans :premises (@p164 @p153)) % 1.02/1.28 (step @p166 :rule refl :args (@t142)) % 1.02/1.28 (step @p167 :rule refl :args (@t143)) % 1.02/1.28 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165) :args (@t197)) % 1.02/1.28 (step @p169 :rule quant-miniscope-or :args ((= (forall @t7 @t198) @t197))) % 1.02/1.28 (step @p170 :rule aci_norm :args ((= @t199 @t198))) % 1.02/1.28 (step @p171 :rule cong :premises (@p170) :args ((forall @t7 @t199))) % 1.02/1.28 (step @p172 :rule trans :premises (@p171 @p169)) % 1.02/1.28 (step @p173 :rule trans :premises (@p172 @p168)) % 1.02/1.28 (step @p174 :rule aci_norm :args ((= (or @t173 @t200) @t199))) % 1.02/1.28 (step @p175 :rule bool-impl-elim :args (@t21 @t200)) % 1.02/1.28 (step @p176 :rule trans :premises (@p175 @p174)) % 1.02/1.28 (step @p177 :rule cong :premises (@p176) :args ((forall @t7 (=> @t21 @t200)))) % 1.02/1.28 (step @p178 :rule trans :premises (@p177 @p173)) % 1.02/1.28 (step @p179 :rule aci_norm :args ((= (or @t77 @t173 @t201) @t200))) % 1.02/1.28 (step @p180 :rule quant-miniscope-or :args ((= (forall @t193 @t202) @t201))) % 1.02/1.28 (step @p181 :rule aci_norm :args ((= @t203 @t202))) % 1.02/1.28 (step @p182 :rule cong :premises (@p181) :args ((forall @t193 @t203))) % 1.02/1.28 (step @p183 :rule trans :premises (@p182 @p180)) % 1.02/1.28 (step @p184 :rule aci_norm :args ((= (or @t143 false @t142 @t172 @t191 @t190 @t189) @t203))) % 1.02/1.28 (step @p185 :rule refl :args (@t189)) % 1.02/1.28 (step @p186 :rule refl :args (@t190)) % 1.02/1.28 (step @p187 :rule refl :args (@t191)) % 1.02/1.28 (step @p188 :rule refl :args (@t172)) % 1.02/1.28 (step @p189 :rule eq-refl :args (@t2)) % 1.02/1.28 (step @p190 :rule cong :premises (@p189) :args (@t204)) % 1.02/1.28 (step @p191 :rule trans :premises (@p190 @p127)) % 1.02/1.28 (step @p192 :rule nary_cong :premises (@p167 @p191 @p166 @p188 @p187 @p186 @p185) :args (@t205)) % 1.02/1.28 (step @p193 :rule trans :premises (@p192 @p184)) % 1.02/1.28 (step @p194 :rule cong :premises (@p193) :args ((forall @t193 @t205))) % 1.02/1.28 (step @p195 :rule trans :premises (@p194 @p183)) % 1.02/1.28 (step @p196 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t76) @t211 @t109 @t103 @t210 @t191 @t208 @t207)) @t205))) % 1.02/1.28 (step @p197 :rule refl :args (@t207)) % 1.02/1.28 (step @p198 :rule refl :args (@t208)) % 1.02/1.28 (step @p199 :rule refl :args (@t191)) % 1.02/1.28 (step @p200 :rule refl :args (@t210)) % 1.02/1.28 (step @p201 :rule refl :args (@t103)) % 1.02/1.28 (step @p202 :rule refl :args (@t109)) % 1.02/1.28 (step @p203 :rule refl :args (@t211)) % 1.02/1.28 (step @p204 :rule eq-symm :args (@t2 @t12)) % 1.02/1.28 (step @p205 :rule cong :premises (@p204) :args (@t109)) % 1.02/1.28 (step @p206 :rule nary_cong :premises (@p205 @p203 @p202 @p201 @p200 @p199 @p198 @p197) :args (@t212)) % 1.02/1.28 (step @p207 :rule aci_norm :args ((= @t213 @t212))) % 1.02/1.28 (step @p208 :rule trans :premises (@p207 @p206)) % 1.02/1.28 (step @p209 :rule cong :premises (@p208) :args (@t214)) % 1.02/1.28 (step @p210 :rule trans :premises (@p209 @p196)) % 1.02/1.28 (step @p211 :rule cong :premises (@p210) :args (@t215)) % 1.02/1.28 (step @p212 :rule 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(@t342)) % 1.02/1.28 (step @p476 :rule eq-symm :args (@t147 tptp.nil)) % 1.02/1.28 (step @p477 :rule refl :args (@t344)) % 1.02/1.28 (step @p478 :rule nary_cong :premises (@p477 @p476) :args (@t360)) % 1.02/1.28 (step @p479 :rule refl :args (@t347)) % 1.02/1.28 (step @p480 :rule refl :args (@t349)) % 1.02/1.28 (step @p481 :rule refl :args (@t350)) % 1.02/1.28 (step @p482 :rule refl :args (@t352)) % 1.02/1.28 (step @p483 :rule nary_cong :premises (@p482 @p481 @p480 @p479 @p478 @p475 @p474) :args (@t361)) % 1.02/1.28 (step @p484 :rule cong :premises (@p483) :args (@t362)) % 1.02/1.28 (step @p485 :rule refl :args (@t355)) % 1.02/1.28 (step @p486 :rule cong :premises (@p485 @p484) :args ((=> @t355 @t362))) % 1.02/1.28 (assume-push @p630 @t355) % 1.02/1.28 (step @p488 :rule skolemize :premises (@p465)) % 1.02/1.28 (step-pop @p631 :rule scope :premises (@p488)) % 1.02/1.28 (step @p489 :rule process_scope :premises (@p631) :args (@t362)) % 1.02/1.28 (step @p491 :rule eq_resolve :premises (@p489 @p486)) % 1.02/1.28 (step @p492 :rule implies_elim :premises (@p491)) % 1.02/1.28 (step @p493 :rule eq_resolve :premises (@p492 @p468)) % 1.02/1.28 (step @p494 :rule chain_m_resolution :premises (@p493 @p465) :args (@t354 @t363 (@list @t146))) % 1.02/1.28 (step @p495 :rule bool-double-not-elim :args (@t351)) % 1.02/1.28 (step @p496 :rule refl :args (@t353)) % 1.02/1.28 (step @p497 :rule nary_cong :premises (@p496 @p495) :args ((or @t353 (not @t352)))) % 1.02/1.28 (step @p498 :rule cnf_or_neg :args (@t353 0)) % 1.02/1.28 (step @p499 :rule eq_resolve :premises (@p498 @p497)) % 1.02/1.28 (step @p500 :rule reordering :premises (@p499) :args ((or @t351 @t353))) % 1.02/1.28 (step @p501 :rule chain_m_resolution :premises (@p500 @p494) :args (@t351 @t363 @t364)) % 1.02/1.28 (step @p502 :rule cnf_or_pos :args (@t367)) % 1.02/1.28 (step @p503 :rule reordering :premises (@p502) :args ((or @t352 @t366 (not @t367)))) % 1.02/1.28 (step @p504 :rule chain_m_resolution :premises (@p503 @p501 @p106) :args (@t366 @t368 @t369)) % 1.02/1.28 (step @p505 :rule aci_norm :args ((= @t377 (or @t143 @t375 @t374)))) % 1.02/1.28 (step @p506 :rule cong :premises (@p505) :args (@t378)) % 1.02/1.28 (step @p507 :rule quant-merge-prenex :args ((= (forall @t9 @t380) @t378))) % 1.02/1.28 (step @p508 :rule alpha_equiv :args (@t381 (@list @t371) (@list @t1))) % 1.02/1.28 (step @p509 :rule nary_cong :premises (@p112 @p508) :args (@t382)) % 1.02/1.28 (step @p510 :rule quant-miniscope-or :args ((= @t380 @t382))) % 1.02/1.28 (step @p511 :rule trans :premises (@p510 @p509)) % 1.02/1.28 (step @p512 :rule symm :premises (@p511)) % 1.02/1.28 (step @p513 :rule cong :premises (@p512) :args ((forall @t9 (or @t143 @t386)))) % 1.02/1.28 (step @p514 :rule trans :premises (@p513 @p507)) % 1.02/1.28 (step @p515 :rule trans :premises (@p514 @p506)) % 1.02/1.28 (step @p516 :rule bool-impl-elim :args (@t17 @t386)) % 1.02/1.28 (step @p517 :rule cong :premises (@p516) :args ((forall @t9 (=> @t17 @t386)))) % 1.02/1.28 (step @p518 :rule trans :premises (@p517 @p515)) % 1.02/1.28 (step @p519 :rule bool-impl-elim :args (@t21 @t385)) % 1.02/1.28 (step @p520 :rule cong :premises (@p519) :args ((forall @t7 (=> @t21 @t385)))) % 1.02/1.28 (step @p521 :rule aci_norm :args ((= @t388 @t384))) % 1.02/1.28 (step @p522 :rule cong :premises (@p521) :args (@t389)) % 1.02/1.28 (step @p523 :rule quant-merge-prenex :args ((= (forall @t16 @t391) @t389))) % 1.02/1.28 (step @p524 :rule alpha_equiv :args (@t392 (@list @t370) (@list @t10))) % 1.02/1.28 (step @p525 :rule nary_cong :premises (@p203 @p524) :args (@t393)) % 1.02/1.28 (step @p526 :rule quant-miniscope-or :args ((= @t391 @t393))) % 1.02/1.28 (step @p527 :rule trans :premises (@p526 @p525)) % 1.02/1.28 (step @p528 :rule symm :premises (@p527)) % 1.02/1.28 (step @p529 :rule cong :premises (@p528) :args ((forall @t16 (or @t211 @t395)))) % 1.02/1.28 (step @p530 :rule trans :premises (@p529 @p523)) % 1.02/1.28 (step @p531 :rule trans :premises (@p530 @p522)) % 1.02/1.28 (step @p532 :rule bool-double-not-elim :args (@t395)) % 1.02/1.28 (step @p533 :rule nary_cong :premises (@p203 @p532) :args ((or @t211 (not @t396)))) % 1.02/1.28 (step @p534 :rule bool-and-de-morgan :args (@t15 @t396 true)) % 1.02/1.28 (step @p535 :rule trans :premises (@p534 @p533)) % 1.02/1.28 (step @p536 :rule cong :premises (@p535) :args (@t398)) % 1.02/1.28 (step @p537 :rule trans :premises (@p536 @p531)) % 1.02/1.28 (step @p538 :rule cong :premises (@p537) :args (@t399)) % 1.02/1.28 (step @p539 :rule exists-elim :args ((= (exists @t16 @t397) @t399))) % 1.02/1.28 (step @p540 :rule trans :premises (@p539 @p538)) % 1.02/1.28 (step @p541 :rule bool-and-de-morgan :args (@t13 @t394 true)) % 1.02/1.28 (step @p542 :rule cong :premises (@p541) :args (@t401)) % 1.02/1.28 (step @p543 :rule cong :premises (@p542) :args (@t402)) % 1.02/1.28 (step @p544 :rule exists-elim :args ((= (exists @t14 @t400) @t402))) % 1.02/1.28 (step @p545 :rule trans :premises (@p544 @p543)) % 1.02/1.28 (step @p546 :rule eq-symm :args (@t24 @t2)) % 1.02/1.28 (step @p547 :rule nary_cong :premises (@p449 @p546) :args (@t25)) % 1.02/1.28 (step @p548 :rule cong :premises (@p547) :args (@t26)) % 1.02/1.28 (step @p549 :rule trans :premises (@p548 @p545)) % 1.02/1.28 (step @p550 :rule nary_cong :premises (@p453 @p549) :args (@t27)) % 1.02/1.28 (step @p551 :rule cong :premises (@p550) :args (@t28)) % 1.02/1.28 (step @p552 :rule trans :premises (@p551 @p540)) % 1.02/1.28 (step @p553 :rule refl :args (@t29)) % 1.02/1.28 (step @p554 :rule cong :premises (@p553 @p552) :args (@t30)) % 1.02/1.28 (step @p555 :rule cong :premises (@p457 @p554) :args (@t31)) % 1.02/1.28 (step @p556 :rule cong :premises (@p555) :args (@t32)) % 1.02/1.28 (step @p557 :rule trans :premises (@p556 @p520)) % 1.02/1.28 (step @p558 :rule cong :premises (@p101 @p557) :args (@t33)) % 1.02/1.28 (step @p559 :rule cong :premises (@p558) :args (@t34)) % 1.02/1.28 (step @p560 :rule trans :premises (@p559 @p518)) % 1.02/1.28 (step @p561 :rule eq_resolve :premises (@p7 @p560)) % 1.02/1.28 (step @p562 :rule instantiate :premises (@p561) :args ((@list @t343 @t147))) % 1.02/1.28 (step @p563 :rule bool-double-not-elim :args (@t348)) % 1.02/1.28 (step @p564 :rule nary_cong :premises (@p496 @p563) :args ((or @t353 (not @t349)))) % 1.02/1.28 (step @p565 :rule cnf_or_neg :args (@t353 2)) % 1.02/1.28 (step @p566 :rule eq_resolve :premises (@p565 @p564)) % 1.02/1.28 (step @p567 :rule reordering :premises (@p566) :args ((or @t348 @t353))) % 1.02/1.28 (step @p568 :rule chain_m_resolution :premises (@p567 @p494) :args (@t348 @t363 @t364)) % 1.02/1.28 (step @p569 :rule cnf_or_pos :args (@t406)) % 1.02/1.28 (step @p570 :rule reordering :premises (@p569) :args ((or @t352 @t349 @t405 (not @t406)))) % 1.02/1.28 (step @p571 :rule chain_m_resolution :premises (@p570 @p501 @p568 @p562) :args (@t405 @t407 (@list @t351 @t348 @t406))) % 1.02/1.28 (step @p572 :rule cnf_or_neg :args (@t353 3)) % 1.02/1.28 (step @p573 :rule chain_m_resolution :premises (@p572 @p494) :args ((not @t347) @t363 @t364)) % 1.02/1.28 (step @p574 :rule bool-double-not-elim :args (@t345)) % 1.02/1.28 (step @p575 :rule nary_cong :premises (@p496 @p574) :args ((or @t353 (not @t350)))) % 1.02/1.28 (step @p576 :rule cnf_or_neg :args (@t353 1)) % 1.02/1.28 (step @p577 :rule eq_resolve :premises (@p576 @p575)) % 1.02/1.28 (step @p578 :rule reordering :premises (@p577) :args ((or @t345 @t353))) % 1.02/1.28 (step @p579 :rule chain_m_resolution :premises (@p578 @p494) :args (@t345 @t363 @t364)) % 1.02/1.28 (step @p580 :rule cnf_and_neg :args (@t347)) % 1.02/1.28 (step @p581 :rule reordering :premises (@p580) :args ((or @t350 @t347 @t408))) % 1.02/1.28 (step @p582 :rule chain_m_resolution :premises (@p581 @p579 @p573) :args (@t408 (@list false true) (@list @t345 @t347))) % 1.02/1.28 (step @p583 :rule bool-double-not-elim :args (@t403)) % 1.02/1.28 (step @p584 :rule refl :args (@t346)) % 1.02/1.28 (step @p585 :rule refl :args (@t409)) % 1.02/1.28 (step @p586 :rule nary_cong :premises (@p585 @p584 @p583) :args ((or @t409 @t346 (not @t404)))) % 1.02/1.28 (step @p587 :rule cnf_equiv_pos2 :args (@t405)) % 1.02/1.28 (step @p588 :rule eq_resolve :premises (@p587 @p586)) % 1.02/1.28 (step @p589 :rule reordering :premises (@p588) :args ((or @t346 @t403 @t409))) % 1.02/1.28 (step @p590 :rule chain_m_resolution :premises (@p589 @p582 @p571) :args (@t403 @t410 (@list @t346 @t405))) % 1.02/1.28 (step @p591 :rule instantiate :premises (@p590) :args ((@list tptp.nil @t339))) % 1.02/1.28 (step @p592 :rule bool-double-not-elim :args (@t341)) % 1.02/1.28 (step @p593 :rule nary_cong :premises (@p496 @p592) :args ((or @t353 (not @t342)))) % 1.02/1.28 (step @p594 :rule cnf_or_neg :args (@t353 5)) % 1.02/1.28 (step @p595 :rule eq_resolve :premises (@p594 @p593)) % 1.02/1.28 (step @p596 :rule reordering :premises (@p595) :args ((or @t341 @t353))) % 1.02/1.28 (step @p597 :rule chain_m_resolution :premises (@p596 @p494) :args (@t341 @t363 @t364)) % 1.02/1.28 (step @p598 :rule cnf_or_pos :args (@t414)) % 1.02/1.28 (step @p599 :rule reordering :premises (@p598) :args ((or @t413 @t342 @t412 (not @t414)))) % 1.02/1.28 (step @p600 :rule chain_m_resolution :premises (@p599 @p17 @p597 @p591) :args (@t412 @t407 (@list @t49 @t341 @t414))) % 1.02/1.28 (step @p601 :rule bool-double-not-elim :args (@t411)) % 1.02/1.28 (step @p602 :rule refl :args (@t415)) % 1.02/1.28 (step @p603 :rule nary_cong :premises (@p602 @p601) :args ((or @t415 (not @t412)))) % 1.02/1.28 (assume-push @p632 @t411) % 1.02/1.28 (assume-push @p633 @t412) % 1.02/1.28 (step @p606 :rule evaluate :args ((= true false))) % 1.02/1.28 (step @p607 :rule false_intro :premises (@p600)) % 1.02/1.28 (step @p608 :rule refl :args (@t339)) % 1.02/1.28 (step @p609 :rule chain_m_resolution :premises (@p503 @p501 @p106) :args (@t366 @t368 @t369)) % 1.02/1.28 (step @p610 :rule cong :premises (@p609 @p608) :args (@t343)) % 1.02/1.28 (step @p611 :rule true_intro :premises (@p610)) % 1.02/1.28 (step @p612 :rule symm :premises (@p611)) % 1.02/1.28 (step @p613 :rule trans :premises (@p612 @p607)) % 1.02/1.28 (step @p614 false :rule eq_resolve :premises (@p613 @p606)) % 1.02/1.28 (step-pop @p634 :rule scope :premises (@p614)) % 1.02/1.28 (step-pop @p635 :rule scope :premises (@p634)) % 1.02/1.28 (step @p615 :rule process_scope :premises (@p635) :args (false)) % 1.02/1.28 (assume-push @p636 @t366) % 1.02/1.28 (assume-push @p637 @t412) % 1.02/1.28 (step @p608 :rule refl :args (@t339)) % 1.02/1.28 (step @p620 :rule cong :premises (@p504 @p608) :args (@t343)) % 1.02/1.28 (step @p621 :rule and_intro :premises (@p620 @p600)) % 1.02/1.28 (step-pop @p638 :rule scope :premises (@p621)) % 1.02/1.28 (step-pop @p639 :rule scope :premises (@p638)) % 1.02/1.28 (step @p622 :rule process_scope :premises (@p639) :args (@t416)) % 1.02/1.28 (step @p625 :rule implies_elim :premises (@p622)) % 1.02/1.28 (step @p626 :rule resolution :premises (@p625 @p615) :args (true @t416)) % 1.02/1.28 (step @p627 :rule not_and :premises (@p626)) % 1.02/1.28 (step @p628 :rule eq_resolve :premises (@p627 @p603)) % 1.02/1.28 (step @p629 false :rule chain_m_resolution :premises (@p628 @p600 @p504) :args (false @t410 (@list @t411 @t366))) % 1.02/1.28 ) % 1.02/1.28 % SZS output end Proof % 1.02/1.28 % cvc5 exiting %------------------------------------------------------------------------------