%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP367_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:49:30 PM UTC 2026
% Result : Theorem 3.30s 1.18s
% Output : CNFRefutation 3.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP367_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 18:28:54 UTC 2026
% 0.03/0.37 % CPUTime :
% 0.03/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.40 Running first-order theorem proving
% 0.03/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.41
% 0.03/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41
% 0.03/0.41 % Detected problem language: tptp
% 0.03/0.43 % Proving...
% 3.30/1.18 % SZS status Started for theBenchmark.p
% 3.30/1.18 % SZS status Theorem for theBenchmark.p
% 3.30/1.18
% 3.30/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.30/1.18
% 3.30/1.18 % ------ iProver source info
% 3.30/1.18
% 3.30/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.30/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.30/1.18 % git: non_committed_changes: false
% 3.30/1.18
% 3.30/1.18 % ------ Parsing...
% 3.30/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 3.30/1.18 %
% 3.30/1.18
% 3.30/1.18 % ------ Preprocessing... sup_sim: 13 pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 pe_s pe_e %
% 3.30/1.18
% 3.30/1.18 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 3.30/1.18 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 3.30/1.18 %
% 3.30/1.18
% 3.30/1.18 % ------ Preprocessing...
% 3.30/1.18 % ------ Proving...
% 3.30/1.18 % ------ Problem Properties
% 3.30/1.18
% 3.30/1.18 %
% 3.30/1.18 % clauses 239
% 3.30/1.18 % conjectures 1
% 3.30/1.18 % EPR 4
% 3.30/1.18 % Horn 170
% 3.30/1.18 % unary 58
% 3.30/1.18 % binary 83
% 3.30/1.18 % lits 590
% 3.30/1.18 % lits eq 144
% 3.30/1.18 % fd_pure 0
% 3.30/1.18 % fd_pseudo 0
% 3.30/1.18 % fd_cond 13
% 3.30/1.18 % fd_pseudo_cond 17
% 3.30/1.18 % AC symbols 0
% 3.30/1.18
% 3.30/1.18 % ------ Schedule dynamic 5 is on
% 3.30/1.18
% 3.30/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.30/1.18
% 3.30/1.18
% 3.30/1.18 % ------
% 3.30/1.18 % Current options:
% 3.30/1.18 % ------
% 3.30/1.18
% 3.30/1.18
% 3.30/1.18 %
% 3.30/1.18
% 3.30/1.18 % ------ Proving...
% 3.30/1.18 %
% 3.30/1.18
% 3.30/1.18 % SZS status Theorem for theBenchmark.p
% 3.30/1.18
% 3.30/1.18 % SZS output start CNFRefutation for theBenchmark.p
% 3.30/1.18
% 3.30/1.18 tff(func_def_0, type, 'member$': 'A_ltln$' > 'A_ltln_set_bool_fun$').
% 3.30/1.18 tff(pred_def_1, type, 'comp_fun_idem$': 'A_ltln_set_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' > $o).
% 3.30/1.18 tff(pred_def_2, type, 'fun_app$b': ('A_ltln_set_set_bool_fun$' * 'A_ltln_set_set$') > $o).
% 3.30/1.18 tff(pred_def_3, type, 'fun_app$a': ('A_ltln_set_bool_fun$' * 'A_ltln_set$') > $o).
% 3.30/1.18 tff(pred_def_4, type, 'finite$b': 'A_ltln_set_set_set$' > $o).
% 3.30/1.18 tff(pred_def_5, type, 'comp_fun_idem$a': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > $o).
% 3.30/1.18 tff(pred_def_6, type, 'member$b': ('A_ltln_set_set$' * 'A_ltln_set_set_set$') > $o).
% 3.30/1.18 tff(pred_def_7, type, 'comp_fun_idem$b': 'A_ltln_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' > $o).
% 3.30/1.18 tff(pred_def_8, type, 'fun_app$': ('A_ltln_bool_fun$' * 'A_ltln$') > $o).
% 3.30/1.18 tff(pred_def_9, type, 'less_eq$b': ('A_ltln_set_set_set$' * 'A_ltln_set_set_set$') > $o).
% 3.30/1.18 tff(pred_def_10, type, 'comp_fun_idem$c': 'A_ltln_a_ltln_set_a_ltln_set_fun_fun$' > $o).
% 3.30/1.18 tff(pred_def_11, type, sP0: ('A_ltln_set_bool_fun$' * 'A_ltln_set$') > $o).
% 3.30/1.18 tff(pred_def_12, type, sP1: ('A_ltln_set$' * 'A_ltln_set$' * 'A_ltln$' * 'A_ltln$') > $o).
% 3.30/1.18 tff(pred_def_13, type, sP2: ('A_ltln$' * 'A_ltln$' * 'A_ltln_set$' * 'A_ltln_set$') > $o).
% 3.30/1.18 tff(pred_def_14, type, sP3: ('A_ltln_set$' * 'A_ltln_set$' * 'A_ltln$') > $o).
% 3.30/1.18 tff(pred_def_15, type, sP4: ('A_ltln_set$' * 'A_ltln_set$' * 'A_ltln$') > $o).
% 3.30/1.18 tff(func_def_16, type, 'minus$': ('A_ltln_set_set_set$' * 'A_ltln_set_set_set$') > 'A_ltln_set_set_set$').
% 3.30/1.18 tff(func_def_17, type, 'less_eq$a': 'A_ltln_set_set$' > 'A_ltln_set_set_bool_fun$').
% 3.30/1.18 tff(func_def_18, type, 'bind$': ('A_ltln_set$' * 'A_ltln_a_ltln_set_set_fun$') > 'A_ltln_set_set$').
% 3.30/1.18 tff(func_def_19, type, 'filter$a': 'A_ltln_bool_fun$' > 'A_ltln_set_a_ltln_set_fun$').
% 3.30/1.18 tff(func_def_20, type, 'y$': 'A_ltln_set$').
% 3.30/1.18 tff(func_def_21, type, 'fun_app$h': ('A_ltln_a_ltln_set_fun$' * 'A_ltln$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_22, type, 'subformulas_mu$': 'A_ltln_a_ltln_set_fun$').
% 3.30/1.18 tff(func_def_23, type, 'fun_app$i': ('A_ltln_set_set_a_ltln_set_fun$' * 'A_ltln_set_set$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_24, type, 'is_empty$a': 'A_ltln_set_set_bool_fun$').
% 3.30/1.18 tff(func_def_25, type, 'fun_app$e': ('A_ltln_set_set_a_ltln_set_set_fun$' * 'A_ltln_set_set$') > 'A_ltln_set_set$').
% 3.30/1.18 tff(func_def_26, type, 'is_singleton$': 'A_ltln_set_bool_fun$').
% 3.30/1.18 tff(func_def_27, type, 'collect$a': 'A_ltln_bool_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_28, type, 'insert$a': 'A_ltln_set_a_ltln_set_set_a_ltln_set_set_fun_fun$').
% 3.30/1.18 tff(func_def_29, type, 'max$': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$').
% 3.30/1.18 tff(func_def_30, type, 'sup$b': ('A_ltln_set_set_set$' * 'A_ltln_set_set_set$') > 'A_ltln_set_set_set$').
% 3.30/1.18 tff(func_def_31, type, 'sup_fin$': 'A_ltln_set_set_set$' > 'A_ltln_set_set$').
% 3.30/1.18 tff(func_def_32, type, 'uu$': 'A_ltln_set_set$' > 'A_ltln_set_bool_fun$').
% 3.30/1.18 tff(func_def_33, type, 'inf$a': 'A_ltln_set_set_a_ltln_set_set_a_ltln_set_set_fun_fun$').
% 3.30/1.18 tff(func_def_34, type, 'inf_fin$': 'A_ltln_set_set_set$' > 'A_ltln_set_set$').
% 3.30/1.18 tff(func_def_35, type, 'bind$a': ('A_ltln_set_set$' * 'A_ltln_set_a_ltln_set_fun$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_36, type, 'bind$b': ('A_ltln_set_set$' * 'A_ltln_set_a_ltln_set_set_fun$') > 'A_ltln_set_set$').
% 3.30/1.18 tff(func_def_37, type, 'inf$': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$').
% 3.30/1.18 tff(func_def_38, type, 'fun_app$k': ('A_ltln_set_a_ltln_set_set_fun$' * 'A_ltln_set$') > 'A_ltln_set_set$').
% 3.30/1.18 tff(func_def_39, type, 'fun_app$m': ('A_ltln_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' * 'A_ltln_set$') > 'A_ltln_set_set_a_ltln_set_set_fun$').
% 3.30/1.18 tff(func_def_40, type, 'bot$a': 'A_ltln_set$').
% 3.30/1.18 tff(func_def_41, type, 'fun_app$j': ('A_ltln_a_ltln_set_set_fun$' * 'A_ltln$') > 'A_ltln_set_set$').
% 3.30/1.18 tff(func_def_42, type, 'disjnt$': 'A_ltln_set_set$' > 'A_ltln_set_set_bool_fun$').
% 3.30/1.18 tff(func_def_43, type, 'fold$a': ('A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' * 'A_ltln_set$') > 'A_ltln_set_set_a_ltln_set_fun$').
% 3.30/1.18 tff(func_def_44, type, 'is_empty$': 'A_ltln_set_bool_fun$').
% 3.30/1.18 tff(func_def_45, type, 'sup$a': 'A_ltln_set_set_a_ltln_set_set_a_ltln_set_set_fun_fun$').
% 3.30/1.18 tff(func_def_46, type, 'fun_app$n': ('A_ltln_a_ltln_set_a_ltln_set_fun_fun$' * 'A_ltln$') > 'A_ltln_set_a_ltln_set_fun$').
% 3.30/1.18 tff(func_def_47, type, 'fold$': 'A_ltln_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$').
% 3.30/1.18 tff(func_def_48, type, 'the_elem$': 'A_ltln_set$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_49, type, 'bot$d': 'A_ltln_set_bool_fun$').
% 3.30/1.18 tff(func_def_50, type, 'fun_app$f': ('A_ltln_set_set_a_ltln_set_set_a_ltln_set_set_fun_fun$' * 'A_ltln_set_set$') > 'A_ltln_set_set_a_ltln_set_set_fun$').
% 3.30/1.18 tff(func_def_51, type, 'collect$': 'A_ltln_set_bool_fun$' > 'A_ltln_set_set$').
% 3.30/1.18 tff(func_def_52, type, 'sup$': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$').
% 3.30/1.18 tff(func_def_53, type, 'less_eq$': 'A_ltln_set_a_ltln_set_bool_fun_fun$').
% 3.30/1.18 tff(func_def_54, type, 'the_elem$a': 'A_ltln_set_set_a_ltln_set_fun$').
% 3.30/1.18 tff(func_def_55, type, 'finite$a': 'A_ltln_set_set_bool_fun$').
% 3.30/1.18 tff(func_def_56, type, 'finite$': 'A_ltln_set_bool_fun$').
% 3.30/1.18 tff(func_def_57, type, 'member$a': 'A_ltln_set$' > 'A_ltln_set_set_bool_fun$').
% 3.30/1.18 tff(func_def_58, type, 'uua$': 'A_ltln_set$' > 'A_ltln_bool_fun$').
% 3.30/1.18 tff(func_def_59, type, 'bot$b': 'A_ltln_set_set_set$').
% 3.30/1.18 tff(func_def_60, type, 'fun_app$d': ('A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' * 'A_ltln_set$') > 'A_ltln_set_a_ltln_set_fun$').
% 3.30/1.18 tff(func_def_61, type, 'remove$': 'A_ltln_a_ltln_set_a_ltln_set_fun_fun$').
% 3.30/1.18 tff(func_def_62, type, 'filter$': 'A_ltln_set_bool_fun$' > 'A_ltln_set_set_a_ltln_set_set_fun$').
% 3.30/1.18 tff(func_def_63, type, 'phi$': 'A_ltln$').
% 3.30/1.18 tff(func_def_64, type, 'fun_app$c': ('A_ltln_set_a_ltln_set_fun$' * 'A_ltln_set$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_65, type, sK5: ('A_ltln_set$' * 'A_ltln_set$' * 'A_ltln_set$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_66, type, sK6: ('A_ltln_set$' * 'A_ltln_set$' * 'A_ltln_set$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_67, type, sK7: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_68, type, sK8: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_69, type, sK9: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_70, type, sK10: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_71, type, sK11: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_72, type, sK12: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_73, type, sK13: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_74, type, sK14: ('A_ltln_set$' * 'A_ltln_set_bool_fun$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_75, type, sK15: ('A_ltln_set_bool_fun$' * 'A_ltln_set$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_76, type, sK16: 'A_ltln_set_bool_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_77, type, sK17: 'A_ltln_set_bool_fun$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_78, type, sK18: 'A_ltln_set_bool_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_79, type, sK19: ('A_ltln_set$' * 'A_ltln_set_bool_fun$') > 'A_ltln$').
% 3.30/1.18 tff(func_def_80, type, sK20: ('A_ltln_set$' * 'A_ltln_set_bool_fun$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_81, type, sK21: ('A_ltln_set$' * 'A_ltln_set_bool_fun$') > 'A_ltln$').
% 3.30/1.18 tff(func_def_82, type, sK22: ('A_ltln_set$' * 'A_ltln_set_bool_fun$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_83, type, sK23: 'A_ltln_set_bool_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_84, type, sK24: 'A_ltln_set_bool_fun$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_85, type, sK25: 'A_ltln_set_bool_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_86, type, sK26: 'A_ltln_set_bool_fun$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_87, type, sK27: 'A_ltln_set_bool_fun$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_88, type, sK28: 'A_ltln_set_bool_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_89, type, sK29: 'A_ltln_set_bool_fun$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_90, type, sK30: 'A_ltln_set_bool_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_91, type, sK31: 'A_ltln_set$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_92, type, sK32: 'A_ltln_set$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_93, type, sK33: 'A_ltln_set$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_94, type, sK34: 'A_ltln_set$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_95, type, sK35: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_96, type, sK36: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_97, type, sK37: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_98, type, sK38: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_99, type, sK39: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_100, type, sK40: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_101, type, sK41: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_102, type, sK42: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_103, type, sK43: ('A_ltln$' * 'A_ltln_set$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_104, type, sK44: ('A_ltln_set$' * 'A_ltln_set$' * 'A_ltln$' * 'A_ltln$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_105, type, sK45: ('A_ltln$' * 'A_ltln_set$') > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_106, type, sK46: 'A_ltln_set$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_107, type, sK47: ('A_ltln_set$' * 'A_ltln_set$') > 'A_ltln$').
% 3.30/1.18 tff(func_def_108, type, sK48: 'A_ltln_set$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_109, type, sK49: ('A_ltln_set$' * 'A_ltln_set$') > 'A_ltln$').
% 3.30/1.18 tff(func_def_110, type, sK50: 'A_ltln_set$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_111, type, sK51: ('A_ltln_set$' * 'A_ltln_set$') > 'A_ltln$').
% 3.30/1.18 tff(func_def_112, type, sK52: 'A_ltln_set$' > 'A_ltln$').
% 3.30/1.18 tff(func_def_113, type, sK53: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_114, type, sK54: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_115, type, sK55: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_116, type, sK56: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_117, type, sK57: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_118, type, sK58: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_119, type, sK59: 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$').
% 3.30/1.18 tff(func_def_120, type, sK60: 'A_ltln_set$').
% 3.30/1.18 tff(func_def_121, type, sK61: 'A_ltln_set$').
% 3.30/1.18 tff(func_def_122, type, sK62: 'A_ltln_set$').
% 3.30/1.18 tff(func_def_123, type, sK63: 'A_ltln_set$').
% 3.30/1.18 tff(func_def_124, type, sK64: 'A_ltln_set$').
% 3.30/1.18 tff(func_def_125, type, sK65: 'A_ltln_set$').
% 3.30/1.18 tff(f3,conjecture,(
% 3.30/1.18 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$','x$'),'y$'))),
% 3.30/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture2)).
% 3.30/1.18
% 3.30/1.18 tff(f4,negated_conjecture,(
% 3.30/1.18 ~ 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$','x$'),'y$'))),
% 3.30/1.18 inference(negated_conjecture,[status(cth)],[f3])).
% 3.30/1.18
% 3.30/1.18 tff(f6,axiom,(
% 3.30/1.18 ! [X0 : 'A_ltln_set$',X1 : 'A_ltln_set$'] : ('fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1)) <=> ('fun_app$a'('finite$',X0) & 'fun_app$a'('finite$',X1)))),
% 3.30/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom4)).
% 3.30/1.18
% 3.30/1.18 tff(f71,axiom,(
% 3.30/1.18 'fun_app$a'('fun_app$g'('less_eq$','y$'),'fun_app$h'('subformulas_nu$','phi$'))),
% 3.30/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom69)).
% 3.30/1.18
% 3.30/1.18 tff(f72,axiom,(
% 3.30/1.18 'fun_app$a'('fun_app$g'('less_eq$','x$'),'fun_app$h'('subformulas_mu$','phi$'))),
% 3.30/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom70)).
% 3.30/1.18
% 3.30/1.18 tff(f260,axiom,(
% 3.30/1.18 ! [X0 : 'A_ltln_set$',X1 : 'A_ltln_set$'] : (('fun_app$a'('fun_app$g'('less_eq$',X0),X1) & 'fun_app$a'('finite$',X1)) => 'fun_app$a'('finite$',X0))),
% 3.30/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom258)).
% 3.30/1.18
% 3.30/1.18 tff(f289,axiom,(
% 3.30/1.18 ! [X0 : 'A_ltln$'] : 'fun_app$a'('finite$','fun_app$h'('subformulas_mu$',X0))),
% 3.30/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom287)).
% 3.30/1.18
% 3.30/1.18 tff(f290,axiom,(
% 3.30/1.18 ! [X0 : 'A_ltln$'] : 'fun_app$a'('finite$','fun_app$h'('subformulas_nu$',X0))),
% 3.30/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom288)).
% 3.30/1.18
% 3.30/1.18 tff(f642,plain,(
% 3.30/1.18 ~'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$','x$'),'y$'))),
% 3.30/1.18 inference(flattening,[],[f4])).
% 3.30/1.18
% 3.30/1.18 tff(f736,plain,(
% 3.30/1.18 ! [X0 : 'A_ltln_set$',X1 : 'A_ltln_set$'] : ('fun_app$a'('finite$',X0) | (~'fun_app$a'('fun_app$g'('less_eq$',X0),X1) | ~'fun_app$a'('finite$',X1)))),
% 3.30/1.18 inference(ennf_transformation,[],[f260])).
% 3.30/1.18
% 3.30/1.18 tff(f737,plain,(
% 3.30/1.18 ! [X0 : 'A_ltln_set$',X1 : 'A_ltln_set$'] : ('fun_app$a'('finite$',X0) | ~'fun_app$a'('fun_app$g'('less_eq$',X0),X1) | ~'fun_app$a'('finite$',X1))),
% 3.30/1.18 inference(flattening,[],[f736])).
% 3.30/1.18
% 3.30/1.18 tff(f894,plain,(
% 3.30/1.18 ! [X0 : 'A_ltln_set$',X1 : 'A_ltln_set$'] : (('fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1)) | (~'fun_app$a'('finite$',X0) | ~'fun_app$a'('finite$',X1))) & (('fun_app$a'('finite$',X0) & 'fun_app$a'('finite$',X1)) | ~'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1))))),
% 3.30/1.18 inference(nnf_transformation,[],[f6])).
% 3.30/1.18
% 3.30/1.18 tff(f895,plain,(
% 3.30/1.18 ! [X0 : 'A_ltln_set$',X1 : 'A_ltln_set$'] : (('fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1)) | ~'fun_app$a'('finite$',X0) | ~'fun_app$a'('finite$',X1)) & (('fun_app$a'('finite$',X0) & 'fun_app$a'('finite$',X1)) | ~'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1))))),
% 3.30/1.18 inference(flattening,[],[f894])).
% 3.30/1.18
% 3.30/1.18 tff(f999,plain,(
% 3.30/1.18 ~'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$','x$'),'y$'))),
% 3.30/1.18 inference(cnf_transformation,[],[f642])).
% 3.30/1.18
% 3.30/1.18 tff(f1000,plain,(
% 3.30/1.18 'fun_app$a'('fun_app$g'('less_eq$','x$'),'fun_app$h'('subformulas_mu$','phi$'))),
% 3.30/1.18 inference(cnf_transformation,[],[f72])).
% 3.30/1.18
% 3.30/1.18 tff(f1001,plain,(
% 3.30/1.18 'fun_app$a'('fun_app$g'('less_eq$','y$'),'fun_app$h'('subformulas_nu$','phi$'))),
% 3.30/1.18 inference(cnf_transformation,[],[f71])).
% 3.30/1.18
% 3.30/1.18 tff(f1149,plain,(
% 3.30/1.18 ( ! [X0 : 'A_ltln_set$',X1 : 'A_ltln_set$'] : ('fun_app$a'('finite$',X0) | ~'fun_app$a'('fun_app$g'('less_eq$',X0),X1) | ~'fun_app$a'('finite$',X1)) )),
% 3.30/1.18 inference(cnf_transformation,[],[f737])).
% 3.30/1.18
% 3.30/1.18 tff(f1157,plain,(
% 3.30/1.18 ( ! [X0 : 'A_ltln_set$',X1 : 'A_ltln_set$'] : ('fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0),X1)) | ~'fun_app$a'('finite$',X0) | ~'fun_app$a'('finite$',X1)) )),
% 3.30/1.18 inference(cnf_transformation,[],[f895])).
% 3.30/1.18
% 3.30/1.18 tff(f1199,plain,(
% 3.30/1.18 ( ! [X0 : 'A_ltln$'] : ('fun_app$a'('finite$','fun_app$h'('subformulas_mu$',X0))) )),
% 3.30/1.18 inference(cnf_transformation,[],[f289])).
% 3.30/1.18
% 3.30/1.18 tff(f1200,plain,(
% 3.30/1.18 ( ! [X0 : 'A_ltln$'] : ('fun_app$a'('finite$','fun_app$h'('subformulas_nu$',X0))) )),
% 3.30/1.18 inference(cnf_transformation,[],[f290])).
% 3.30/1.18
% 3.30/1.18 tcf(c_49,negated_conjecture,
% 3.30/1.18 (~'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$','x$'),'y$'))),
% 3.30/1.18 inference(cnf_transformation,[],[f999])).
% 3.30/1.18
% 3.30/1.18 tcf(c_50,plain,
% 3.30/1.18 ('fun_app$a'('fun_app$g'('less_eq$','x$'),'fun_app$h'('subformulas_mu$','phi$'))),
% 3.30/1.18 inference(cnf_transformation,[],[f1000])).
% 3.30/1.18
% 3.30/1.18 tcf(c_51,plain,
% 3.30/1.18 ('fun_app$a'('fun_app$g'('less_eq$','y$'),'fun_app$h'('subformulas_nu$','phi$'))),
% 3.30/1.18 inference(cnf_transformation,[],[f1001])).
% 3.30/1.18
% 3.30/1.18 tcf(c_198,plain,![X0_'A_ltln_set':'A_ltln_set$',X1_'A_ltln_set':'A_ltln_set$']:
% 3.30/1.18 (~'fun_app$a'('fun_app$g'('less_eq$',X0_'A_ltln_set'),X1_'A_ltln_set')|
% 3.30/1.18 ~'fun_app$a'('finite$',X1_'A_ltln_set')|'fun_app$a'('finite$',X0_'A_ltln_set')),
% 3.30/1.18 inference(cnf_transformation,[],[f1149])).
% 3.30/1.18
% 3.30/1.18 tcf(c_204,plain,![X0_'A_ltln_set':'A_ltln_set$',X1_'A_ltln_set':'A_ltln_set$']:
% 3.30/1.18 (~'fun_app$a'('finite$',X0_'A_ltln_set')|~'fun_app$a'('finite$',X1_'A_ltln_set')|
% 3.30/1.18 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X0_'A_ltln_set'),X1_'A_ltln_set'))),
% 3.30/1.18 inference(cnf_transformation,[],[f1157])).
% 3.30/1.18
% 3.30/1.18 tcf(c_245,plain,![X0_'A_ltln':'A_ltln$']:
% 3.30/1.18 ('fun_app$a'('finite$','fun_app$h'('subformulas_mu$',X0_'A_ltln'))),
% 3.30/1.18 inference(cnf_transformation,[],[f1199])).
% 3.30/1.18
% 3.30/1.18 tcf(c_246,plain,![X0_'A_ltln':'A_ltln$']:
% 3.30/1.18 ('fun_app$a'('finite$','fun_app$h'('subformulas_nu$',X0_'A_ltln'))),
% 3.30/1.18 inference(cnf_transformation,[],[f1200])).
% 3.30/1.18
% 3.30/1.18 tcf(c_9952,plain,
% 3.30/1.18 (~'fun_app$a'('finite$','fun_app$h'('subformulas_mu$','phi$'))|'fun_app$a'('finite$','x$')),
% 3.30/1.18 inference(superposition,[status(thm)],[c_50,c_198])).
% 3.30/1.18
% 3.30/1.18 tcf(c_9953,plain,
% 3.30/1.18 (~'fun_app$a'('finite$','fun_app$h'('subformulas_nu$','phi$'))|'fun_app$a'('finite$','y$')),
% 3.30/1.18 inference(superposition,[status(thm)],[c_51,c_198])).
% 3.30/1.18
% 3.30/1.18 tcf(c_9969,plain,
% 3.30/1.18 ('fun_app$a'('finite$','y$')),
% 3.30/1.18 inference(forward_subsumption_resolution,[status(thm)],[c_9953,c_246])).
% 3.30/1.18
% 3.30/1.18 tcf(c_9970,plain,
% 3.30/1.18 ('fun_app$a'('finite$','x$')),
% 3.30/1.18 inference(forward_subsumption_resolution,[status(thm)],[c_9952,c_245])).
% 3.30/1.18
% 3.30/1.18 tcf(c_10642,plain,
% 3.30/1.18 (~'fun_app$a'('finite$','x$')|~'fun_app$a'('finite$','y$')|'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$','x$'),'y$'))),
% 3.30/1.18 inference(instantiation,[status(thm)],[c_204])).
% 3.30/1.18
% 3.30/1.18 tcf(c_10643,plain,
% 3.30/1.18 ($false),
% 3.30/1.18 inference(prop_impl_just,[status(thm)],[c_10642,c_9969,c_9970,c_49])).
% 3.30/1.18
% 3.30/1.18
% 3.30/1.18 % SZS output end CNFRefutation for theBenchmark.p
% 3.30/1.18
% 3.30/1.18
%------------------------------------------------------------------------------