%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW625_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:05:22 AM UTC 2026 % Result : Theorem 46.01s 46.40s % Output : Proof 46.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWW625_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 22:19:41 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_ARI % 46.01/46.40 --- Run --finite-model-find --decision=internal at 45... % 46.01/46.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 46.01/46.40 % SZS status Theorem % 46.01/46.40 % SZS output start Proof % 46.01/46.40 ( % 46.01/46.40 (declare-sort tptp.list_elt 0) % 46.01/46.40 (declare-sort tptp.elt 0) % 46.01/46.40 (declare-sort tptp.tuple0 0) % 46.01/46.40 (declare-sort tptp.bool 0) % 46.01/46.40 (declare-sort tptp.ty 0) % 46.01/46.40 (declare-sort tptp.uni 0) % 46.01/46.40 (declare-const tptp.tb2t1 (-> tptp.uni tptp.elt)) % 46.01/46.40 (declare-const tptp.sorted (-> tptp.list_elt Bool)) % 46.01/46.40 (declare-const tptp.elt1 tptp.ty) % 46.01/46.40 (declare-const tptp.t2tb (-> tptp.list_elt tptp.uni)) % 46.01/46.40 (declare-const tptp.reverse (-> tptp.ty tptp.uni tptp.uni)) % 46.01/46.40 (declare-const tptp.t2tb1 (-> tptp.elt tptp.uni)) % 46.01/46.40 (declare-const tptp.num_occ (-> tptp.ty tptp.uni tptp.uni Int)) % 46.01/46.40 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 46.01/46.40 (declare-const tptp.infix_plpl (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 46.01/46.40 (declare-const tptp.tuple02 tptp.tuple0) % 46.01/46.40 (declare-const tptp.rev_append (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 46.01/46.40 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 46.01/46.40 (declare-const tptp.le (-> tptp.elt tptp.elt Bool)) % 46.01/46.40 (declare-const tptp.permut (-> tptp.ty tptp.uni tptp.uni Bool)) % 46.01/46.40 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 46.01/46.40 (declare-const tptp.length (-> tptp.ty tptp.uni Int)) % 46.01/46.40 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 46.01/46.40 (declare-const tptp.cons_proj_2 (-> tptp.ty tptp.uni tptp.uni)) % 46.01/46.40 (declare-const tptp.true tptp.bool) % 46.01/46.40 (declare-const tptp.false tptp.bool) % 46.01/46.40 (declare-const tptp.tb2t (-> tptp.uni tptp.list_elt)) % 46.01/46.40 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 46.01/46.40 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 46.01/46.40 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 46.01/46.40 (declare-const tptp.match_list (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 46.01/46.40 (declare-const tptp.cons_proj_1 (-> tptp.ty tptp.uni tptp.uni)) % 46.01/46.40 (define @t1 () (@var "A" tptp.ty)) % 46.01/46.40 (define @t2 () (@list @t1)) % 46.01/46.40 (define @t3 () (@var "X2" tptp.uni)) % 46.01/46.40 (define @t4 () (@var "X1" tptp.uni)) % 46.01/46.40 (define @t5 () (@var "X" tptp.bool)) % 46.01/46.40 (define @t6 () (@var "Z" tptp.uni)) % 46.01/46.40 (define @t7 () (@var "Z1" tptp.uni)) % 46.01/46.40 (define @t8 () (@list @t1 @t6 @t7)) % 46.01/46.40 (define @t9 () (@var "U" tptp.bool)) % 46.01/46.40 (define @t10 () (@var "U" tptp.tuple0)) % 46.01/46.40 (define @t11 () (@var "Z" Int)) % 46.01/46.40 (define @t12 () (@var "Y" Int)) % 46.01/46.40 (define @t13 () (@var "X" Int)) % 46.01/46.40 (define @t14 () (tptp.nil @t1)) % 46.01/46.40 (define @t15 () (tptp.list @t1)) % 46.01/46.40 (define @t16 () (@var "X" tptp.uni)) % 46.01/46.40 (define @t17 () (tptp.cons @t1 @t16 @t4)) % 46.01/46.40 (define @t18 () (@list @t1 @t16 @t4)) % 46.01/46.40 (define @t19 () (@var "A1" tptp.ty)) % 46.01/46.40 (define @t20 () (@var "U1" tptp.uni)) % 46.01/46.40 (define @t21 () (@var "U" tptp.uni)) % 46.01/46.40 (define @t22 () (tptp.cons @t1 @t21 @t20)) % 46.01/46.40 (define @t23 () (@var "V1" tptp.uni)) % 46.01/46.40 (define @t24 () (@var "V" tptp.uni)) % 46.01/46.40 (define @t25 () (@list @t1 @t16)) % 46.01/46.40 (define @t26 () (@list @t1 @t21 @t20)) % 46.01/46.40 (define @t27 () (@list @t16 @t4)) % 46.01/46.40 (define @t28 () (@var "L" tptp.uni)) % 46.01/46.40 (define @t29 () (tptp.length @t1 @t28)) % 46.01/46.40 (define @t30 () (@list @t1 @t28)) % 46.01/46.40 (define @t31 () (@var "L2" tptp.uni)) % 46.01/46.40 (define @t32 () (@var "L3" tptp.uni)) % 46.01/46.40 (define @t33 () (@var "L1" tptp.uni)) % 46.01/46.40 (define @t34 () (tptp.infix_plpl @t1 @t33 @t31)) % 46.01/46.40 (define @t35 () (tptp.infix_plpl @t1 @t34 @t32)) % 46.01/46.40 (define @t36 () (tptp.infix_plpl @t1 @t33 (tptp.infix_plpl @t1 @t31 @t32))) % 46.01/46.40 (define @t37 () (@list @t1 @t33 @t31 @t32)) % 46.01/46.40 (define @t38 () (tptp.length @t1 @t31)) % 46.01/46.40 (define @t39 () (tptp.length @t1 @t33)) % 46.01/46.40 (define @t40 () (@list @t1 @t33 @t31)) % 46.01/46.40 (define @t41 () (= @t16 @t4)) % 46.01/46.40 (define @t42 () (tptp.cons @t1 @t4 @t3)) % 46.01/46.40 (define @t43 () (tptp.sort @t1 @t4)) % 46.01/46.40 (define @t44 () (@list @t4 @t3)) % 46.01/46.40 (define @t45 () (tptp.sort @t1 @t16)) % 46.01/46.40 (define @t46 () (tptp.mem @t1 @t16 @t31)) % 46.01/46.40 (define @t47 () (tptp.mem @t1 @t16 @t33)) % 46.01/46.40 (define @t48 () (@list @t1 @t16 @t33 @t31)) % 46.01/46.40 (define @t49 () (tptp.cons @t1 @t16 @t31)) % 46.01/46.40 (define @t50 () (tptp.infix_plpl @t1 @t33 @t49)) % 46.01/46.40 (define @t51 () (tptp.mem @t1 @t16 @t28)) % 46.01/46.40 (define @t52 () (@list @t1 @t16 @t28)) % 46.01/46.40 (define @t53 () (tptp.num_occ @t1 @t16 @t3)) % 46.01/46.40 (define @t54 () (tptp.num_occ @t1 @t16 @t42)) % 46.01/46.40 (define @t55 () (tptp.num_occ @t1 @t16 @t28)) % 46.01/46.40 (define @t56 () (tptp.num_occ @t1 @t16 @t31)) % 46.01/46.40 (define @t57 () (tptp.num_occ @t1 @t16 @t33)) % 46.01/46.40 (define @t58 () (tptp.cons @t1 @t16 @t14)) % 46.01/46.40 (define @t59 () (tptp.cons @t1 @t16 @t33)) % 46.01/46.40 (define @t60 () (tptp.reverse @t1 @t28)) % 46.01/46.40 (define @t61 () (tptp.cons @t1 @t16 @t28)) % 46.01/46.40 (define @t62 () (@list @t1 @t28 @t16)) % 46.01/46.40 (define @t63 () (tptp.permut @t1 @t33 @t31)) % 46.01/46.40 (define @t64 () (= @t57 @t56)) % 46.01/46.40 (define @t65 () (@list @t16)) % 46.01/46.40 (define @t66 () (@var "Y" tptp.uni)) % 46.01/46.40 (define @t67 () (@var "K2" tptp.uni)) % 46.01/46.40 (define @t68 () (@var "K1" tptp.uni)) % 46.01/46.40 (define @t69 () (@var "X" tptp.elt)) % 46.01/46.40 (define @t70 () (@list @t69)) % 46.01/46.40 (define @t71 () (@var "Z" tptp.elt)) % 46.01/46.40 (define @t72 () (@var "Y" tptp.elt)) % 46.01/46.40 (define @t73 () (tptp.le @t69 @t72)) % 46.01/46.40 (define @t74 () (tptp.le @t72 @t69)) % 46.01/46.40 (define @t75 () (@list @t69 @t72)) % 46.01/46.40 (define @t76 () (@var "X" tptp.list_elt)) % 46.01/46.40 (define @t77 () (@var "I" tptp.list_elt)) % 46.01/46.40 (define @t78 () (@var "J" tptp.uni)) % 46.01/46.40 (define @t79 () (tptp.t2tb (tptp.tb2t @t78))) % 46.01/46.40 (define @t80 () (@list @t78)) % 46.01/46.40 (define @t81 () (forall @t80 (= @t79 @t78))) % 46.01/46.40 (define @t82 () (tptp.nil tptp.elt1)) % 46.01/46.40 (define @t83 () (tptp.tb2t @t82)) % 46.01/46.40 (define @t84 () (tptp.t2tb1 @t69)) % 46.01/46.40 (define @t85 () (@var "I" tptp.elt)) % 46.01/46.40 (define @t86 () (tptp.tb2t (tptp.cons tptp.elt1 @t84 @t82))) % 46.01/46.40 (define @t87 () (@var "L" tptp.list_elt)) % 46.01/46.40 (define @t88 () (tptp.t2tb @t87)) % 46.01/46.40 (define @t89 () (tptp.t2tb1 @t72)) % 46.01/46.40 (define @t90 () (tptp.cons tptp.elt1 @t89 @t88)) % 46.01/46.40 (define @t91 () (tptp.tb2t (tptp.cons tptp.elt1 @t84 @t90))) % 46.01/46.40 (define @t92 () (tptp.sorted (tptp.tb2t @t90))) % 46.01/46.40 (define @t93 () (@list @t69 @t72 @t87)) % 46.01/46.40 (define @t94 () (@var "Z" tptp.list_elt)) % 46.01/46.40 (define @t95 () (tptp.cons tptp.elt1 @t84 @t88)) % 46.01/46.40 (define @t96 () (tptp.sorted @t87)) % 46.01/46.40 (define @t97 () (tptp.mem tptp.elt1 @t89 @t88)) % 46.01/46.40 (define @t98 () (=> @t97 @t73)) % 46.01/46.40 (define @t99 () (@list @t72)) % 46.01/46.40 (define @t100 () (@list @t69 @t87)) % 46.01/46.40 (define @t101 () (@var "L2" tptp.list_elt)) % 46.01/46.40 (define @t102 () (tptp.t2tb @t101)) % 46.01/46.40 (define @t103 () (@var "L1" tptp.list_elt)) % 46.01/46.40 (define @t104 () (tptp.t2tb @t103)) % 46.01/46.40 (define @t105 () (tptp.sorted (tptp.tb2t (tptp.infix_plpl tptp.elt1 @t104 @t102)))) % 46.01/46.40 (define @t106 () (tptp.mem tptp.elt1 @t89 @t102)) % 46.01/46.40 (define @t107 () (=> @t106 @t73)) % 46.01/46.40 (define @t108 () (tptp.mem tptp.elt1 @t84 @t104)) % 46.01/46.40 (define @t109 () (forall @t75 (=> @t108 @t107))) % 46.01/46.40 (define @t110 () (tptp.sorted @t101)) % 46.01/46.40 (define @t111 () (tptp.sorted @t103)) % 46.01/46.40 (define @t112 () (and @t111 @t110 @t109)) % 46.01/46.40 (define @t113 () (= @t112 @t105)) % 46.01/46.40 (define @t114 () (forall (@list @t103 @t101) @t113)) % 46.01/46.40 (define @t115 () (@var "T" tptp.uni)) % 46.01/46.40 (define @t116 () (@var "R" tptp.uni)) % 46.01/46.40 (define @t117 () (@var "S" tptp.uni)) % 46.01/46.40 (define @t118 () (@list @t1 @t116 @t117 @t115)) % 46.01/46.40 (define @t119 () (@var "Acc" tptp.list_elt)) % 46.01/46.40 (define @t120 () (tptp.t2tb @t119)) % 46.01/46.40 (define @t121 () (@var "X1" tptp.elt)) % 46.01/46.40 (define @t122 () (tptp.mem tptp.elt1 @t84 @t120)) % 46.01/46.40 (define @t123 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t120)))) % 46.01/46.40 (define @t124 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t95)))) % 46.01/46.40 (define @t125 () (@var "Accu" tptp.list_elt)) % 46.01/46.40 (define @t126 () (tptp.t2tb @t125)) % 46.01/46.40 (define @t127 () (tptp.sorted (tptp.tb2t (tptp.rev_append tptp.elt1 @t102 @t126)))) % 46.01/46.40 (define @t128 () (= @t103 @t83)) % 46.01/46.40 (define @t129 () (=> @t128 @t127)) % 46.01/46.40 (define @t130 () (@var "X1" tptp.list_elt)) % 46.01/46.40 (define @t131 () (= @t101 (tptp.tb2t (tptp.cons tptp.elt1 @t84 (tptp.t2tb @t130))))) % 46.01/46.40 (define @t132 () (=> @t131 @t129)) % 46.01/46.40 (define @t133 () (@list @t69 @t130)) % 46.01/46.40 (define @t134 () (forall @t133 @t132)) % 46.01/46.40 (define @t135 () (=> @t106 @t74)) % 46.01/46.40 (define @t136 () (tptp.mem tptp.elt1 @t84 @t126)) % 46.01/46.40 (define @t137 () (forall @t75 (=> @t136 @t135))) % 46.01/46.40 (define @t138 () (tptp.mem tptp.elt1 @t89 @t104)) % 46.01/46.40 (define @t139 () (=> @t138 @t74)) % 46.01/46.40 (define @t140 () (forall @t75 (=> @t136 @t139))) % 46.01/46.40 (define @t141 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t102)))) % 46.01/46.40 (define @t142 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t104)))) % 46.01/46.40 (define @t143 () (tptp.sorted @t125)) % 46.01/46.40 (define @t144 () (and @t143 @t142 @t141 @t140 @t137)) % 46.01/46.40 (define @t145 () (=> @t144 @t134)) % 46.01/46.40 (define @t146 () (@list @t103 @t101 @t125)) % 46.01/46.40 (define @t147 () (forall @t146 @t145)) % 46.01/46.40 (define @t148 () (not @t147)) % 46.01/46.40 (define @t149 () (@var "BOUND_VARIABLE_8551" tptp.list_elt)) % 46.01/46.40 (define @t150 () (@var "BOUND_VARIABLE_8549" tptp.elt)) % 46.01/46.40 (define @t151 () (tptp.tb2t (tptp.cons tptp.elt1 (tptp.t2tb1 @t150) (tptp.t2tb @t149)))) % 46.01/46.40 (define @t152 () (tptp.t2tb @t151)) % 46.01/46.40 (define @t153 () (tptp.sorted (tptp.tb2t (tptp.rev_append tptp.elt1 @t152 @t126)))) % 46.01/46.40 (define @t154 () (not @t136)) % 46.01/46.40 (define @t155 () (not (forall @t75 (or @t154 (not (tptp.mem tptp.elt1 @t89 @t152)) @t74)))) % 46.01/46.40 (define @t156 () (tptp.t2tb @t83)) % 46.01/46.40 (define @t157 () (not (tptp.mem tptp.elt1 @t89 @t156))) % 46.01/46.40 (define @t158 () (not (forall @t75 (or @t154 @t157 @t74)))) % 46.01/46.40 (define @t159 () (not @t143)) % 46.01/46.40 (define @t160 () (not (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t152))))) % 46.01/46.40 (define @t161 () (or @t160 @t159 @t158 @t155 @t153)) % 46.01/46.40 (define @t162 () (@list @t125 @t150 @t149)) % 46.01/46.40 (define @t163 () (forall @t162 @t161)) % 46.01/46.40 (define @t164 () (@quantifiers_skolemize @t163 0)) % 46.01/46.40 (define @t165 () (tptp.t2tb @t164)) % 46.01/46.40 (define @t166 () (tptp.t2tb (tptp.tb2t (tptp.cons tptp.elt1 (tptp.t2tb1 (@quantifiers_skolemize @t163 1)) (tptp.t2tb (@quantifiers_skolemize @t163 2)))))) % 46.01/46.40 (define @t167 () (tptp.reverse tptp.elt1 @t166)) % 46.01/46.40 (define @t168 () (tptp.tb2t @t167)) % 46.01/46.40 (define @t169 () (tptp.t2tb @t168)) % 46.01/46.40 (define @t170 () (forall @t75 (or (not (tptp.mem tptp.elt1 @t84 @t169)) (not (tptp.mem tptp.elt1 @t89 @t165)) @t73))) % 46.01/46.40 (define @t171 () (@quantifiers_skolemize @t170 0)) % 46.01/46.40 (define @t172 () (tptp.t2tb1 @t171)) % 46.01/46.40 (define @t173 () (not (= @t151 @t151))) % 46.01/46.40 (define @t174 () (or @t160 @t159 @t158 @t155 @t153 @t173)) % 46.01/46.40 (define @t175 () (not (= @t101 @t151))) % 46.01/46.40 (define @t176 () (not @t106)) % 46.01/46.40 (define @t177 () (or @t154 @t176 @t74)) % 46.01/46.40 (define @t178 () (forall @t75 @t177)) % 46.01/46.40 (define @t179 () (not @t178)) % 46.01/46.40 (define @t180 () (not @t141)) % 46.01/46.40 (define @t181 () (or @t175 @t180 @t159 @t158 @t179 @t127 @t175)) % 46.01/46.40 (define @t182 () (@list @t101)) % 46.01/46.40 (define @t183 () (or @t180 @t159 @t158 @t179 @t127 @t175)) % 46.01/46.40 (define @t184 () (forall @t182 @t183)) % 46.01/46.40 (define @t185 () (forall @t162 @t184)) % 46.01/46.40 (define @t186 () (forall (@list @t125 @t150 @t149 @t101) @t183)) % 46.01/46.40 (define @t187 () (@list @t101 @t125 @t150 @t149)) % 46.01/46.40 (define @t188 () (forall @t187 @t183)) % 46.01/46.40 (define @t189 () (not (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t156))))) % 46.01/46.40 (define @t190 () (or @t189 @t188)) % 46.01/46.40 (define @t191 () (or @t189 @t183)) % 46.01/46.40 (define @t192 () (or @t159 @t189 @t180 @t158 @t179 @t127 @t175)) % 46.01/46.40 (define @t193 () (not (= @t83 @t83))) % 46.01/46.40 (define @t194 () (or @t159 @t189 @t180 @t158 @t179 @t193 @t127 @t175)) % 46.01/46.40 (define @t195 () (= @t83 @t103)) % 46.01/46.40 (define @t196 () (not @t195)) % 46.01/46.40 (define @t197 () (not @t138)) % 46.01/46.40 (define @t198 () (or @t154 @t197 @t74)) % 46.01/46.40 (define @t199 () (forall @t75 @t198)) % 46.01/46.40 (define @t200 () (not @t199)) % 46.01/46.40 (define @t201 () (not @t142)) % 46.01/46.40 (define @t202 () (@list @t103)) % 46.01/46.40 (define @t203 () (or @t196 @t159 @t201 @t180 @t200 @t179 @t196 @t127 @t175)) % 46.01/46.40 (define @t204 () (or @t159 @t201 @t180 @t200 @t179 @t196 @t127 @t175)) % 46.01/46.40 (define @t205 () (forall @t202 @t204)) % 46.01/46.40 (define @t206 () (forall @t187 @t205)) % 46.01/46.40 (define @t207 () (forall (@list @t101 @t125 @t150 @t149 @t103) @t204)) % 46.01/46.40 (define @t208 () (forall (@list @t103 @t101 @t125 @t150 @t149) @t204)) % 46.01/46.40 (define @t209 () (@list @t150 @t149)) % 46.01/46.40 (define @t210 () (forall @t209 @t204)) % 46.01/46.40 (define @t211 () (forall @t209 @t175)) % 46.01/46.40 (define @t212 () (or @t159 @t201 @t180 @t200 @t179 @t196 @t127 @t211)) % 46.01/46.40 (define @t213 () (not @t131)) % 46.01/46.40 (define @t214 () (forall @t133 @t213)) % 46.01/46.40 (define @t215 () (or @t159 @t201 @t180 @t200 @t179 @t196 @t127 @t214)) % 46.01/46.40 (define @t216 () (or @t196 @t127 @t214)) % 46.01/46.40 (define @t217 () (or @t159 @t201 @t180 @t200 @t179)) % 46.01/46.40 (define @t218 () (and @t143 @t142 @t141 @t199 @t178)) % 46.01/46.40 (define @t219 () (or @t196 @t127 @t213)) % 46.01/46.40 (define @t220 () (or @t213 @t196 @t127)) % 46.01/46.40 (define @t221 () (=> @t195 @t127)) % 46.01/46.40 (define @t222 () (not (tptp.mem tptp.elt1 @t84 @t165))) % 46.01/46.40 (define @t223 () (forall @t75 (or @t222 (not (tptp.mem tptp.elt1 @t89 @t166)) @t74))) % 46.01/46.40 (define @t224 () (tptp.sorted (tptp.tb2t (tptp.rev_append tptp.elt1 @t166 @t165)))) % 46.01/46.40 (define @t225 () (not @t223)) % 46.01/46.40 (define @t226 () (tptp.sorted @t164)) % 46.01/46.40 (define @t227 () (not @t226)) % 46.01/46.40 (define @t228 () (tptp.sorted @t168)) % 46.01/46.40 (define @t229 () (not @t228)) % 46.01/46.40 (define @t230 () (or @t229 @t227 (not (forall @t75 (or @t222 @t157 @t74))) @t225 @t224)) % 46.01/46.40 (define @t231 () (@list true)) % 46.01/46.40 (define @t232 () (@list @t230)) % 46.01/46.40 (define @t233 () (@quantifiers_skolemize @t170 1)) % 46.01/46.40 (define @t234 () (not @t108)) % 46.01/46.40 (define @t235 () (or @t234 @t176 @t73)) % 46.01/46.40 (define @t236 () (tptp.infix_plpl tptp.elt1 @t169 @t165)) % 46.01/46.40 (define @t237 () (tptp.tb2t @t236)) % 46.01/46.40 (define @t238 () (tptp.sorted @t237)) % 46.01/46.40 (define @t239 () (and @t228 @t226 @t170)) % 46.01/46.40 (define @t240 () (= @t238 @t239)) % 46.01/46.40 (define @t241 () (not @t239)) % 46.01/46.40 (define @t242 () (@list true false)) % 46.01/46.40 (define @t243 () (not @t170)) % 46.01/46.40 (define @t244 () (tptp.le @t171 @t233)) % 46.01/46.40 (define @t245 () (tptp.mem tptp.elt1 (tptp.t2tb1 @t233) @t165)) % 46.01/46.40 (define @t246 () (not @t245)) % 46.01/46.40 (define @t247 () (tptp.mem tptp.elt1 @t172 @t169)) % 46.01/46.40 (define @t248 () (not @t247)) % 46.01/46.40 (define @t249 () (or @t248 @t246 @t244)) % 46.01/46.40 (define @t250 () (@list @t249)) % 46.01/46.40 (define @t251 () (tptp.mem tptp.elt1 @t172 @t166)) % 46.01/46.40 (define @t252 () (not @t251)) % 46.01/46.40 (define @t253 () (or @t246 @t252 @t244)) % 46.01/46.40 (define @t254 () (tptp.mem tptp.elt1 @t172 @t167)) % 46.01/46.40 (define @t255 () (= @t251 @t254)) % 46.01/46.40 (define @t256 () (not @t254)) % 46.01/46.40 (assume @p1 (forall @t2 (tptp.sort @t1 (tptp.witness @t1)))) % 46.01/46.40 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort @t1 (tptp.match_bool @t1 @t5 @t4 @t3)))) % 46.01/46.40 (assume @p3 (forall @t8 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.true @t6 @t7) @t6)))) % 46.01/46.40 (assume @p4 (forall @t8 (=> (tptp.sort @t1 @t7) (= (tptp.match_bool @t1 tptp.false @t6 @t7) @t7)))) % 46.01/46.40 (assume @p5 (not (= tptp.true tptp.false))) % 46.01/46.40 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true) (= @t9 tptp.false)))) % 46.01/46.40 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple02))) % 46.01/46.40 (assume @p8 (forall (@list @t13 @t12 @t11) (=> (<= @t13 @t12) (=> (<= 0 @t11) (<= (* @t13 @t11) (* @t12 @t11)))))) % 46.01/46.40 (assume @p9 (forall @t2 (tptp.sort @t15 @t14))) % 46.01/46.40 (assume @p10 (forall @t18 (tptp.sort @t15 @t17))) % 46.01/46.40 (assume @p11 (forall (@list @t1 @t19 @t16 @t4 @t3) (tptp.sort @t19 (tptp.match_list @t19 @t1 @t16 @t4 @t3)))) % 46.01/46.40 (assume @p12 (forall (@list @t1 @t19 @t6 @t7) (=> (tptp.sort @t19 @t6) (= (tptp.match_list @t19 @t1 @t14 @t6 @t7) @t6)))) % 46.01/46.40 (assume @p13 (forall (@list @t1 @t19 @t6 @t7 @t21 @t20) (=> (tptp.sort @t19 @t7) (= (tptp.match_list @t19 @t1 @t22 @t6 @t7) @t7)))) % 46.01/46.40 (assume @p14 (forall (@list @t1 @t24 @t23) (not (= @t14 (tptp.cons @t1 @t24 @t23))))) % 46.01/46.40 (assume @p15 (forall @t25 (tptp.sort @t1 (tptp.cons_proj_1 @t1 @t16)))) % 46.01/46.40 (assume @p16 (forall @t26 (=> (tptp.sort @t1 @t21) (= (tptp.cons_proj_1 @t1 @t22) @t21)))) % 46.01/46.40 (assume @p17 (forall @t25 (tptp.sort @t15 (tptp.cons_proj_2 @t1 @t16)))) % 46.01/46.40 (assume @p18 (forall @t26 (= (tptp.cons_proj_2 @t1 @t22) @t20))) % 46.01/46.40 (assume @p19 (forall (@list @t1 @t21) (or (= @t21 @t14) (= @t21 (tptp.cons @t1 (tptp.cons_proj_1 @t1 @t21) (tptp.cons_proj_2 @t1 @t21)))))) % 46.01/46.40 (assume @p20 (forall @t2 (and (= (tptp.length @t1 @t14) 0) (forall @t27 (= (tptp.length @t1 @t17) (+ 1 (tptp.length @t1 @t4))))))) % 46.01/46.40 (assume @p21 (forall @t30 (<= 0 @t29))) % 46.01/46.40 (assume @p22 (forall @t30 (= (= @t29 0) (= @t28 @t14)))) % 46.01/46.40 (assume @p23 (forall @t18 (tptp.sort @t15 (tptp.infix_plpl @t1 @t16 @t4)))) % 46.01/46.40 (assume @p24 (forall (@list @t1 @t31) (and (= (tptp.infix_plpl @t1 @t14 @t31) @t31) (forall @t27 (= (tptp.infix_plpl @t1 @t17 @t31) (tptp.cons @t1 @t16 (tptp.infix_plpl @t1 @t4 @t31))))))) % 46.01/46.40 (assume @p25 (forall @t37 (= @t36 @t35))) % 46.01/46.40 (assume @p26 (forall @t30 (= (tptp.infix_plpl @t1 @t28 @t14) @t28))) % 46.01/46.40 (assume @p27 (forall @t40 (= (tptp.length @t1 @t34) (+ @t39 @t38)))) % 46.01/46.40 (assume @p28 (forall @t25 (=> @t45 (and (not (tptp.mem @t1 @t16 @t14)) (forall @t44 (=> @t43 (= (tptp.mem @t1 @t16 @t42) (or @t41 (tptp.mem @t1 @t16 @t3))))))))) % 46.01/46.40 (assume @p29 (forall @t48 (= (tptp.mem @t1 @t16 @t34) (or @t47 @t46)))) % 46.01/46.40 (assume @p30 (forall @t52 (=> @t51 (exists (@list @t33 @t31) (and (tptp.sort @t15 @t33) (tptp.sort @t15 @t31) (= @t28 @t50)))))) % 46.01/46.40 (assume @p31 (forall @t25 (=> @t45 (and (= (tptp.num_occ @t1 @t16 @t14) 0) (forall @t44 (=> @t43 (and (=> @t41 (= @t54 (+ 1 @t53))) (=> (not @t41) (= @t54 (+ 0 @t53)))))))))) % 46.01/46.40 (assume @p32 (forall @t52 (= @t51 (< 0 @t55)))) % 46.01/46.40 (assume @p33 (forall @t48 (= (tptp.num_occ @t1 @t16 @t34) (+ @t57 @t56)))) % 46.01/46.40 (assume @p34 (forall @t25 (tptp.sort @t15 (tptp.reverse @t1 @t16)))) % 46.01/46.40 (assume @p35 (forall @t2 (and (= (tptp.reverse @t1 @t14) @t14) (forall @t27 (= (tptp.reverse @t1 @t17) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t4) @t58)))))) % 46.01/46.40 (assume @p36 (forall (@list @t1 @t33 @t31 @t16) (= (tptp.infix_plpl @t1 (tptp.reverse @t1 @t59) @t31) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t33) @t49)))) % 46.01/46.40 (assume @p37 (forall @t62 (= (tptp.reverse @t1 @t61) (tptp.infix_plpl @t1 @t60 @t58)))) % 46.01/46.40 (assume @p38 (forall @t30 (= (tptp.reverse @t1 @t60) @t28))) % 46.01/46.40 (assume @p39 (forall @t62 (= @t51 (tptp.mem @t1 @t16 @t60)))) % 46.01/46.40 (assume @p40 (forall @t30 (= (tptp.length @t1 @t60) @t29))) % 46.01/46.40 (assume @p41 (forall @t52 (= @t55 (tptp.num_occ @t1 @t16 @t60)))) % 46.01/46.40 (assume @p42 (forall @t40 (and (=> @t63 (forall @t65 @t64)) (=> (forall @t65 (=> @t45 @t64)) @t63)))) % 46.01/46.40 (assume @p43 (forall @t30 (tptp.permut @t1 @t28 @t28))) % 46.01/46.40 (assume @p44 (forall @t40 (=> @t63 (tptp.permut @t1 @t31 @t33)))) % 46.01/46.40 (assume @p45 (forall @t37 (=> @t63 (=> (tptp.permut @t1 @t31 @t32) (tptp.permut @t1 @t33 @t32))))) % 46.01/46.40 (assume @p46 (forall @t48 (=> @t63 (tptp.permut @t1 @t59 @t49)))) % 46.01/46.40 (assume @p47 (forall (@list @t1 @t16 @t66 @t28) (tptp.permut @t1 (tptp.cons @t1 @t16 (tptp.cons @t1 @t66 @t28)) (tptp.cons @t1 @t66 @t61)))) % 46.01/46.40 (assume @p48 (forall @t48 (tptp.permut @t1 (tptp.infix_plpl @t1 @t59 @t31) @t50))) % 46.01/46.40 (assume @p49 (forall @t37 (tptp.permut @t1 @t35 @t36))) % 46.01/46.40 (assume @p50 (forall (@list @t1 @t33 @t31 @t68 @t67) (=> (tptp.permut @t1 @t33 @t68) (=> (tptp.permut @t1 @t31 @t67) (tptp.permut @t1 @t34 (tptp.infix_plpl @t1 @t68 @t67)))))) % 46.01/46.40 (assume @p51 (forall @t40 (tptp.permut @t1 @t34 (tptp.infix_plpl @t1 @t31 @t33)))) % 46.01/46.40 (assume @p52 (forall @t48 (=> @t63 (=> @t47 @t46)))) % 46.01/46.40 (assume @p53 (forall @t40 (=> @t63 (= @t39 @t38)))) % 46.01/46.40 (assume @p54 (forall @t70 (tptp.le @t69 @t69))) % 46.01/46.40 (assume @p55 (forall (@list @t69 @t72 @t71) (=> @t73 (=> (tptp.le @t72 @t71) (tptp.le @t69 @t71))))) % 46.01/46.40 (assume @p56 (forall @t75 (or @t73 @t74))) % 46.01/46.40 (assume @p57 (forall (@list @t76) (tptp.sort (tptp.list tptp.elt1) (tptp.t2tb @t76)))) % 46.01/46.40 (assume @p58 (forall (@list @t77) (= (tptp.tb2t (tptp.t2tb @t77)) @t77))) % 46.01/46.40 (assume @p59 @t81) % 46.01/46.40 (assume @p60 (tptp.sorted @t83)) % 46.01/46.40 (assume @p61 (forall @t70 (tptp.sort tptp.elt1 @t84))) % 46.01/46.40 (assume @p62 (forall (@list @t85) (= (tptp.tb2t1 (tptp.t2tb1 @t85)) @t85))) % 46.01/46.40 (assume @p63 (forall @t80 (=> (tptp.sort tptp.elt1 @t78) (= (tptp.t2tb1 (tptp.tb2t1 @t78)) @t78)))) % 46.01/46.40 (assume @p64 (forall @t70 (tptp.sorted @t86))) % 46.01/46.40 (assume @p65 (forall @t93 (=> @t73 (=> @t92 (tptp.sorted @t91))))) % 46.01/46.40 (assume @p66 (forall (@list @t94) (=> (tptp.sorted @t94) (or (= @t94 @t83) (exists @t70 (= @t94 @t86)) (exists @t93 (and @t73 @t92 (= @t94 @t91))))))) % 46.01/46.40 (assume @p67 (forall @t100 (= (and (forall @t99 @t98) @t96) (tptp.sorted (tptp.tb2t @t95))))) % 46.01/46.40 (assume @p68 @t114) % 46.01/46.40 (assume @p69 (forall @t18 (tptp.sort @t15 (tptp.rev_append @t1 @t16 @t4)))) % 46.01/46.40 (assume @p70 (forall (@list @t1 @t115) (and (= (tptp.rev_append @t1 @t14 @t115) @t115) (forall (@list @t16 @t116) (= (tptp.rev_append @t1 (tptp.cons @t1 @t16 @t116) @t115) (tptp.rev_append @t1 @t116 (tptp.cons @t1 @t16 @t115))))))) % 46.01/46.40 (assume @p71 (forall @t118 (= (tptp.rev_append @t1 (tptp.infix_plpl @t1 @t116 @t117) @t115) (tptp.rev_append @t1 @t117 (tptp.rev_append @t1 @t116 @t115))))) % 46.01/46.40 (assume @p72 (forall @t118 (= (tptp.rev_append @t1 @t116 (tptp.infix_plpl @t1 @t117 @t115)) (tptp.rev_append @t1 (tptp.rev_append @t1 @t117 @t116) @t115)))) % 46.01/46.40 (assume @p73 (forall (@list @t1 @t117 @t115) (= (tptp.length @t1 (tptp.rev_append @t1 @t117 @t115)) (+ (tptp.length @t1 @t117) (tptp.length @t1 @t115))))) % 46.01/46.40 (assume @p74 (forall (@list @t1 @t116 @t117) (= (tptp.rev_append @t1 @t116 @t117) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t116) @t117)))) % 46.01/46.40 (assume @p75 (forall (@list @t119 @t121) (=> @t123 (=> (forall @t70 (=> @t122 (tptp.le @t69 @t121))) (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 (tptp.cons tptp.elt1 (tptp.t2tb1 @t121) @t120)))))))) % 46.01/46.40 (assume @p76 (forall (@list @t119 @t87) (=> @t123 (=> @t96 (=> (forall @t75 (=> @t122 @t98)) (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 (tptp.rev_append tptp.elt1 @t88 @t120))))))))) % 46.01/46.40 (assume @p77 (forall @t100 (=> @t124 (forall @t99 (=> @t97 @t74))))) % 46.01/46.40 (assume @p78 (forall @t100 (=> @t124 (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t88)))))) % 46.01/46.40 (assume @p79 @t148) % 46.01/46.40 (assume @p80 true) % 46.01/46.40 (step @p81 :rule evaluate :args ((= true false))) % 46.01/46.40 (step @p82 :rule instantiate :premises (@p39) :args ((@list tptp.elt1 @t166 @t172))) % 46.01/46.40 (step @p83 :rule aci_norm :args ((= (or @t160 @t159 @t158 @t155 @t153 false) @t161))) % 46.01/46.40 (step @p84 :rule evaluate :args ((not true))) % 46.01/46.40 (step @p85 :rule eq-refl :args (@t151)) % 46.01/46.40 (step @p86 :rule cong :premises (@p85) :args (@t173)) % 46.01/46.40 (step @p87 :rule trans :premises (@p86 @p84)) % 46.01/46.40 (step @p88 :rule refl :args (@t153)) % 46.01/46.40 (step @p89 :rule refl :args (@t155)) % 46.01/46.40 (step @p90 :rule refl :args (@t158)) % 46.01/46.40 (step @p91 :rule refl :args (@t159)) % 46.01/46.40 (step @p92 :rule refl :args (@t160)) % 46.01/46.40 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90 @p89 @p88 @p87) :args (@t174)) % 46.01/46.40 (step @p94 :rule trans :premises (@p93 @p83)) % 46.01/46.40 (step @p95 :rule cong :premises (@p94) :args ((forall @t162 @t174))) % 46.01/46.40 (step @p96 :rule quant-var-elim-eq :args ((= (forall @t182 @t181) @t174))) % 46.01/46.40 (step @p97 :rule aci_norm :args ((= @t183 @t181))) % 46.01/46.40 (step @p98 :rule cong :premises (@p97) :args (@t184)) % 46.01/46.40 (step @p99 :rule trans :premises (@p98 @p96)) % 46.01/46.40 (step @p100 :rule cong :premises (@p99) :args (@t185)) % 46.01/46.40 (step @p101 :rule quant-merge-prenex :args ((= @t185 @t186))) % 46.01/46.40 (step @p102 :rule symm :premises (@p101)) % 46.01/46.40 (step @p103 :rule quant_var_reordering :args ((= @t188 @t186))) % 46.01/46.40 (step @p104 :rule trans :premises (@p103 @p102 @p100)) % 46.01/46.40 (step @p105 :rule trans :premises (@p104 @p95)) % 46.01/46.40 (step @p106 :rule refl :args (@t189)) % 46.01/46.40 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t190)) % 46.01/46.40 (step @p108 :rule quant-miniscope-or :args ((= (forall @t187 @t191) @t190))) % 46.01/46.40 (step @p109 :rule aci_norm :args ((= @t192 @t191))) % 46.01/46.40 (step @p110 :rule cong :premises (@p109) :args ((forall @t187 @t192))) % 46.01/46.40 (step @p111 :rule trans :premises (@p110 @p108)) % 46.01/46.40 (step @p112 :rule trans :premises (@p111 @p107)) % 46.01/46.40 (step @p113 :rule aci_norm :args ((= (or @t159 @t189 @t180 @t158 @t179 false @t127 @t175) @t192))) % 46.01/46.40 (step @p114 :rule refl :args (@t175)) % 46.01/46.40 (step @p115 :rule refl :args (@t127)) % 46.01/46.40 (step @p116 :rule eq-refl :args (@t83)) % 46.01/46.40 (step @p117 :rule cong :premises (@p116) :args (@t193)) % 46.01/46.40 (step @p118 :rule trans :premises (@p117 @p84)) % 46.01/46.40 (step @p119 :rule refl :args (@t179)) % 46.01/46.40 (step @p120 :rule refl :args (@t180)) % 46.01/46.40 (step @p121 :rule nary_cong :premises (@p91 @p106 @p120 @p90 @p119 @p118 @p115 @p114) :args (@t194)) % 46.01/46.40 (step @p122 :rule trans :premises (@p121 @p113)) % 46.01/46.40 (step @p123 :rule cong :premises (@p122) :args ((forall @t187 @t194))) % 46.01/46.40 (step @p124 :rule trans :premises (@p123 @p112)) % 46.01/46.40 (step @p125 :rule quant-var-elim-eq :args ((= (forall @t202 (or (not @t128) @t159 @t201 @t180 @t200 @t179 @t196 @t127 @t175)) @t194))) % 46.01/46.40 (step @p126 :rule refl :args (@t175)) % 46.01/46.40 (step @p127 :rule refl :args (@t127)) % 46.01/46.40 (step @p128 :rule refl :args (@t196)) % 46.01/46.40 (step @p129 :rule refl :args (@t179)) % 46.01/46.40 (step @p130 :rule refl :args (@t200)) % 46.01/46.40 (step @p131 :rule refl :args (@t180)) % 46.01/46.40 (step @p132 :rule refl :args (@t201)) % 46.01/46.40 (step @p133 :rule refl :args (@t159)) % 46.01/46.40 (step @p134 :rule eq-symm :args (@t83 @t103)) % 46.01/46.40 (step @p135 :rule cong :premises (@p134) :args (@t196)) % 46.01/46.40 (step @p136 :rule nary_cong :premises (@p135 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126) :args (@t203)) % 46.01/46.40 (step @p137 :rule aci_norm :args ((= @t204 @t203))) % 46.01/46.40 (step @p138 :rule trans :premises (@p137 @p136)) % 46.01/46.40 (step @p139 :rule cong :premises (@p138) :args (@t205)) % 46.01/46.40 (step @p140 :rule trans :premises (@p139 @p125)) % 46.01/46.40 (step @p141 :rule cong :premises (@p140) :args (@t206)) % 46.01/46.40 (step @p142 :rule quant-merge-prenex :args ((= @t206 @t207))) % 46.01/46.40 (step @p143 :rule symm :premises (@p142)) % 46.01/46.40 (step @p144 :rule quant_var_reordering :args ((= @t208 @t207))) % 46.01/46.40 (step @p145 :rule trans :premises (@p144 @p143 @p141)) % 46.01/46.40 (step @p146 :rule trans :premises (@p145 @p124)) % 46.01/46.40 (step @p147 :rule quant-merge-prenex :args ((= (forall @t146 @t210) @t208))) % 46.01/46.40 (step @p148 :rule alpha_equiv :args (@t211 (@list @t150 @t149) (@list @t69 @t130))) % 46.01/46.40 (step @p149 :rule nary_cong :premises (@p133 @p132 @p131 @p130 @p129 @p128 @p127 @p148) :args (@t212)) % 46.01/46.40 (step @p150 :rule quant-miniscope-or :args ((= @t210 @t212))) % 46.01/46.40 (step @p151 :rule trans :premises (@p150 @p149)) % 46.01/46.40 (step @p152 :rule symm :premises (@p151)) % 46.01/46.40 (step @p153 :rule cong :premises (@p152) :args ((forall @t146 @t215))) % 46.01/46.40 (step @p154 :rule trans :premises (@p153 @p147)) % 46.01/46.40 (step @p155 :rule trans :premises (@p154 @p146)) % 46.01/46.40 (step @p156 :rule aci_norm :args ((= (or @t217 @t216) @t215))) % 46.01/46.40 (step @p157 :rule refl :args (@t216)) % 46.01/46.40 (step @p158 :rule aci_norm :args ((= (or @t159 (or @t201 (or @t180 (or @t200 @t179)))) @t217))) % 46.01/46.40 (step @p159 :rule bool-and-de-morgan :args (@t199 @t178 true)) % 46.01/46.40 (step @p160 :rule nary_cong :premises (@p131 @p159) :args ((or @t180 (not (and @t199 @t178))))) % 46.01/46.40 (step @p161 :rule bool-and-de-morgan :args (@t141 @t199 (and @t178))) % 46.01/46.40 (step @p162 :rule trans :premises (@p161 @p160)) % 46.01/46.40 (step @p163 :rule nary_cong :premises (@p132 @p162) :args ((or @t201 (not (and @t141 @t199 @t178))))) % 46.01/46.40 (step @p164 :rule bool-and-de-morgan :args (@t142 @t141 (and @t199 @t178))) % 46.01/46.40 (step @p165 :rule trans :premises (@p164 @p163)) % 46.01/46.40 (step @p166 :rule nary_cong :premises (@p133 @p165) :args ((or @t159 (not (and @t142 @t141 @t199 @t178))))) % 46.01/46.40 (step @p167 :rule bool-and-de-morgan :args (@t143 @t142 (and @t141 @t199 @t178))) % 46.01/46.40 (step @p168 :rule trans :premises (@p167 @p166)) % 46.01/46.40 (step @p169 :rule trans :premises (@p168 @p158)) % 46.01/46.40 (step @p170 :rule nary_cong :premises (@p169 @p157) :args ((or (not @t218) @t216))) % 46.01/46.40 (step @p171 :rule trans :premises (@p170 @p156)) % 46.01/46.40 (step @p172 :rule bool-impl-elim :args (@t218 @t216)) % 46.01/46.40 (step @p173 :rule trans :premises (@p172 @p171)) % 46.01/46.40 (step @p174 :rule cong :premises (@p173) :args ((forall @t146 (=> @t218 @t216)))) % 46.01/46.40 (step @p175 :rule trans :premises (@p174 @p155)) % 46.01/46.40 (step @p176 :rule quant-miniscope-or :args ((= (forall @t133 @t219) @t216))) % 46.01/46.40 (step @p177 :rule aci_norm :args ((= @t220 @t219))) % 46.01/46.40 (step @p178 :rule cong :premises (@p177) :args ((forall @t133 @t220))) % 46.01/46.40 (step @p179 :rule trans :premises (@p178 @p176)) % 46.01/46.40 (step @p180 :rule aci_norm :args ((= (or @t213 (or @t196 @t127)) @t220))) % 46.01/46.40 (step @p181 :rule bool-impl-elim :args (@t195 @t127)) % 46.01/46.40 (step @p182 :rule refl :args (@t213)) % 46.01/46.40 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t213 @t221))) % 46.01/46.40 (step @p184 :rule trans :premises (@p183 @p180)) % 46.01/46.40 (step @p185 :rule bool-impl-elim :args (@t131 @t221)) % 46.01/46.40 (step @p186 :rule trans :premises (@p185 @p184)) % 46.01/46.40 (step @p187 :rule cong :premises (@p186) :args ((forall @t133 (=> @t131 @t221)))) % 46.01/46.40 (step @p188 :rule trans :premises (@p187 @p179)) % 46.01/46.40 (step @p189 :rule eq-symm :args (@t103 @t83)) % 46.01/46.40 (step @p190 :rule cong :premises (@p189 @p115) :args (@t129)) % 46.01/46.40 (step @p191 :rule refl :args (@t131)) % 46.01/46.40 (step @p192 :rule cong :premises (@p191 @p190) :args (@t132)) % 46.01/46.40 (step @p193 :rule cong :premises (@p192) :args (@t134)) % 46.01/46.40 (step @p194 :rule trans :premises (@p193 @p188)) % 46.01/46.40 (step @p195 :rule aci_norm :args ((= (or @t154 (or @t176 @t74)) @t177))) % 46.01/46.40 (step @p196 :rule bool-impl-elim :args (@t106 @t74)) % 46.01/46.40 (step @p197 :rule refl :args (@t154)) % 46.01/46.40 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t154 @t135))) % 46.01/46.40 (step @p199 :rule trans :premises (@p198 @p195)) % 46.01/46.40 (step @p200 :rule bool-impl-elim :args (@t136 @t135)) % 46.01/46.40 (step @p201 :rule trans :premises (@p200 @p199)) % 46.01/46.40 (step @p202 :rule cong :premises (@p201) :args (@t137)) % 46.01/46.40 (step @p203 :rule aci_norm :args ((= (or @t154 (or @t197 @t74)) @t198))) % 46.01/46.40 (step @p204 :rule bool-impl-elim :args (@t138 @t74)) % 46.01/46.40 (step @p205 :rule nary_cong :premises (@p197 @p204) :args ((or @t154 @t139))) % 46.01/46.40 (step @p206 :rule trans :premises (@p205 @p203)) % 46.01/46.40 (step @p207 :rule bool-impl-elim :args (@t136 @t139)) % 46.01/46.40 (step @p208 :rule trans :premises (@p207 @p206)) % 46.01/46.40 (step @p209 :rule cong :premises (@p208) :args (@t140)) % 46.01/46.40 (step @p210 :rule refl :args (@t141)) % 46.01/46.40 (step @p211 :rule refl :args (@t142)) % 46.01/46.40 (step @p212 :rule refl :args (@t143)) % 46.01/46.40 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210 @p209 @p202) :args (@t144)) % 46.01/46.40 (step @p214 :rule cong :premises (@p213 @p194) :args (@t145)) % 46.01/46.40 (step @p215 :rule cong :premises (@p214) :args (@t147)) % 46.01/46.40 (step @p216 :rule trans :premises (@p215 @p175)) % 46.01/46.40 (step @p217 :rule cong :premises (@p216) :args (@t148)) % 46.01/46.40 (step @p218 :rule eq_resolve :premises (@p79 @p217)) % 46.01/46.40 (step @p219 :rule not_or_elim :premises (@p218) :args (1)) % 46.01/46.40 (step @p220 :rule skolemize :premises (@p219)) % 46.01/46.40 (step @p221 :rule bool-double-not-elim :args (@t223)) % 46.01/46.40 (step @p222 :rule refl :args (@t230)) % 46.01/46.40 (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or @t230 (not @t225)))) % 46.01/46.40 (step @p224 :rule cnf_or_neg :args (@t230 3)) % 46.01/46.40 (step @p225 :rule eq_resolve :premises (@p224 @p223)) % 46.01/46.40 (step @p226 :rule reordering :premises (@p225) :args ((or @t223 @t230))) % 46.01/46.40 (step @p227 :rule chain_m_resolution :premises (@p226 @p220) :args (@t223 @t231 @t232)) % 46.01/46.40 (step @p228 :rule instantiate :premises (@p227) :args ((@list @t233 @t171))) % 46.01/46.40 (step @p229 :rule eq-symm :args ((and @t111 @t110 (forall @t75 @t235)) @t105)) % 46.01/46.40 (step @p230 :rule refl :args (@t105)) % 46.01/46.40 (step @p231 :rule aci_norm :args ((= (or @t234 (or @t176 @t73)) @t235))) % 46.01/46.40 (step @p232 :rule bool-impl-elim :args (@t106 @t73)) % 46.01/46.40 (step @p233 :rule refl :args (@t234)) % 46.01/46.40 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t234 @t107))) % 46.01/46.40 (step @p235 :rule trans :premises (@p234 @p231)) % 46.01/46.40 (step @p236 :rule bool-impl-elim :args (@t108 @t107)) % 46.01/46.40 (step @p237 :rule trans :premises (@p236 @p235)) % 46.01/46.40 (step @p238 :rule cong :premises (@p237) :args (@t109)) % 46.01/46.40 (step @p239 :rule refl :args (@t110)) % 46.01/46.40 (step @p240 :rule refl :args (@t111)) % 46.01/46.40 (step @p241 :rule nary_cong :premises (@p240 @p239 @p238) :args (@t112)) % 46.01/46.40 (step @p242 :rule cong :premises (@p241 @p230) :args (@t113)) % 46.01/46.40 (step @p243 :rule trans :premises (@p242 @p229)) % 46.01/46.40 (step @p244 :rule cong :premises (@p243) :args (@t114)) % 46.01/46.40 (step @p245 :rule eq_resolve :premises (@p68 @p244)) % 46.01/46.40 (step @p246 :rule instantiate :premises (@p245) :args ((@list @t168 @t164))) % 46.01/46.40 (step @p247 :rule cnf_or_neg :args (@t230 4)) % 46.01/46.40 (step @p248 :rule chain_m_resolution :premises (@p247 @p220) :args ((not @t224) @t231 @t232)) % 46.01/46.40 (step @p249 :rule false_intro :premises (@p248)) % 46.01/46.40 (step @p250 :rule instantiate :premises (@p74) :args ((@list tptp.elt1 @t166 @t165))) % 46.01/46.40 (step @p251 :rule symm :premises (@p250)) % 46.01/46.40 (step @p252 :rule refl :args (@t165)) % 46.01/46.40 (step @p253 :rule eq-symm :args (@t79 @t78)) % 46.01/46.40 (step @p254 :rule cong :premises (@p253) :args (@t81)) % 46.01/46.40 (step @p255 :rule eq_resolve :premises (@p59 @p254)) % 46.01/46.40 (step @p256 :rule instantiate :premises (@p255) :args ((@list @t167))) % 46.01/46.40 (step @p257 :rule symm :premises (@p256)) % 46.01/46.40 (step @p258 :rule refl :args (tptp.elt1)) % 46.01/46.40 (step @p259 :rule cong :premises (@p258 @p257 @p252) :args (@t236)) % 46.01/46.40 (step @p260 :rule trans :premises (@p259 @p251)) % 46.01/46.40 (step @p261 :rule cong :premises (@p260) :args (@t237)) % 46.01/46.40 (step @p262 :rule cong :premises (@p261) :args (@t238)) % 46.01/46.40 (step @p263 :rule trans :premises (@p262 @p249)) % 46.01/46.40 (step @p264 :rule false_elim :premises (@p263)) % 46.01/46.40 (step @p265 :rule cnf_equiv_pos2 :args (@t240)) % 46.01/46.40 (step @p266 :rule reordering :premises (@p265) :args ((or @t238 @t241 (not @t240)))) % 46.01/46.40 (step @p267 :rule chain_m_resolution :premises (@p266 @p264 @p246) :args (@t241 @t242 (@list @t238 @t240))) % 46.01/46.40 (step @p268 :rule bool-double-not-elim :args (@t226)) % 46.01/46.40 (step @p269 :rule nary_cong :premises (@p222 @p268) :args ((or @t230 (not @t227)))) % 46.01/46.40 (step @p270 :rule cnf_or_neg :args (@t230 1)) % 46.01/46.40 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 46.01/46.40 (step @p272 :rule reordering :premises (@p271) :args ((or @t226 @t230))) % 46.01/46.40 (step @p273 :rule chain_m_resolution :premises (@p272 @p220) :args (@t226 @t231 @t232)) % 46.01/46.40 (step @p274 :rule bool-double-not-elim :args (@t228)) % 46.01/46.40 (step @p275 :rule nary_cong :premises (@p222 @p274) :args ((or @t230 (not @t229)))) % 46.01/46.40 (step @p276 :rule cnf_or_neg :args (@t230 0)) % 46.01/46.40 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 46.01/46.40 (step @p278 :rule reordering :premises (@p277) :args ((or @t228 @t230))) % 46.01/46.40 (step @p279 :rule chain_m_resolution :premises (@p278 @p220) :args (@t228 @t231 @t232)) % 46.01/46.40 (step @p280 :rule cnf_and_neg :args (@t239)) % 46.01/46.40 (step @p281 :rule reordering :premises (@p280) :args ((or @t229 @t227 @t239 @t243))) % 46.01/46.40 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p273 @p267) :args (@t243 (@list false false true) (@list @t228 @t226 @t239))) % 46.01/46.40 (step @p283 :rule skolemize :premises (@p282)) % 46.01/46.40 (step @p284 :rule cnf_or_neg :args (@t249 2)) % 46.01/46.40 (step @p285 :rule chain_m_resolution :premises (@p284 @p283) :args ((not @t244) @t231 @t250)) % 46.01/46.40 (step @p286 :rule bool-double-not-elim :args (@t245)) % 46.01/46.40 (step @p287 :rule refl :args (@t249)) % 46.01/46.40 (step @p288 :rule nary_cong :premises (@p287 @p286) :args ((or @t249 (not @t246)))) % 46.01/46.40 (step @p289 :rule cnf_or_neg :args (@t249 1)) % 46.01/46.40 (step @p290 :rule eq_resolve :premises (@p289 @p288)) % 46.01/46.41 (step @p291 :rule reordering :premises (@p290) :args ((or @t245 @t249))) % 46.01/46.41 (step @p292 :rule chain_m_resolution :premises (@p291 @p283) :args (@t245 @t231 @t250)) % 46.01/46.41 (step @p293 :rule cnf_or_pos :args (@t253)) % 46.01/46.41 (step @p294 :rule reordering :premises (@p293) :args ((or @t246 @t244 @t252 (not @t253)))) % 46.01/46.41 (step @p295 :rule chain_m_resolution :premises (@p294 @p292 @p285 @p228) :args (@t252 (@list false true false) (@list @t245 @t244 @t253))) % 46.01/46.41 (step @p296 :rule cnf_equiv_pos2 :args (@t255)) % 46.01/46.41 (step @p297 :rule reordering :premises (@p296) :args ((or @t251 @t256 (not @t255)))) % 46.01/46.41 (step @p298 :rule chain_m_resolution :premises (@p297 @p295 @p82) :args (@t256 @t242 (@list @t251 @t255))) % 46.01/46.41 (step @p299 :rule false_intro :premises (@p298)) % 46.01/46.41 (step @p300 :rule refl :args (@t172)) % 46.01/46.41 (step @p301 :rule cong :premises (@p258 @p300 @p257) :args (@t247)) % 46.01/46.41 (step @p302 :rule bool-double-not-elim :args (@t247)) % 46.01/46.41 (step @p303 :rule nary_cong :premises (@p287 @p302) :args ((or @t249 (not @t248)))) % 46.01/46.41 (step @p304 :rule cnf_or_neg :args (@t249 0)) % 46.01/46.41 (step @p305 :rule eq_resolve :premises (@p304 @p303)) % 46.01/46.41 (step @p306 :rule reordering :premises (@p305) :args ((or @t247 @t249))) % 46.01/46.41 (step @p307 :rule chain_m_resolution :premises (@p306 @p283) :args (@t247 @t231 @t250)) % 46.01/46.41 (step @p308 :rule true_intro :premises (@p307)) % 46.01/46.41 (step @p309 :rule symm :premises (@p308)) % 46.01/46.41 (step @p310 :rule trans :premises (@p309 @p301 @p299)) % 46.01/46.41 (step @p311 false :rule eq_resolve :premises (@p310 @p81)) % 46.01/46.41 ) % 46.01/46.41 % SZS output end Proof % 46.01/46.41 % cvc5 exiting %------------------------------------------------------------------------------