%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ITP322_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 : n016.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 01:49:26 PM UTC 2026
% Result : Theorem 7.95s 1.60s
% Output : CNFRefutation 7.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP322_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 18:29:11 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 7.95/1.60 % SZS status Started for theBenchmark.p
% 7.95/1.60 % SZS status Theorem for theBenchmark.p
% 7.95/1.60
% 7.95/1.60 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.95/1.60
% 7.95/1.60 % ------ iProver source info
% 7.95/1.60
% 7.95/1.60 % git: date: 2026-07-19 20:42:38 +0200
% 7.95/1.60 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.95/1.60 % git: non_committed_changes: false
% 7.95/1.60
% 7.95/1.60 % ------ Parsing...
% 7.95/1.60 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.95/1.60 % ------ Proving...
% 7.95/1.60 % ------ Problem Properties
% 7.95/1.60
% 7.95/1.60 %
% 7.95/1.60 % clauses 1124
% 7.95/1.60 % conjectures 1
% 7.95/1.60 % EPR 112
% 7.95/1.60 % Horn 932
% 7.95/1.60 % unary 302
% 7.95/1.60 % binary 490
% 7.95/1.60 % lits 2367
% 7.95/1.60 % lits eq 630
% 7.95/1.60 % fd_pure 1
% 7.95/1.60 % fd_pseudo 0
% 7.95/1.60 % fd_cond 82
% 7.95/1.60 % fd_pseudo_cond 90
% 7.95/1.60 % AC symbols 0
% 7.95/1.60
% 7.95/1.60 % ------ Input Options Time Limit: Unbounded
% 7.95/1.60
% 7.95/1.60
% 7.95/1.60 % ------
% 7.95/1.60 % Current options:
% 7.95/1.60 % ------
% 7.95/1.60
% 7.95/1.60
% 7.95/1.60 %
% 7.95/1.60
% 7.95/1.60 % ------ Proving...
% 7.95/1.60 %
% 7.95/1.60
% 7.95/1.60 % SZS status Theorem for theBenchmark.p
% 7.95/1.60
% 7.95/1.60 % SZS output start CNFRefutation for theBenchmark.p
% 7.95/1.60
% 7.95/1.60 tff(func_def_0, type, def_12: tlbool).
% 7.95/1.60 tff(pred_def_1, type, 'semilattice_neutr$': ('Bool_bool_bool_fun_fun$' * tlbool) > $o).
% 7.95/1.60 tff(pred_def_2, type, 'fun_app$i': ('B_set_bool_fun$' * 'B_set$') > $o).
% 7.95/1.60 tff(func_def_3, type, def_17: tlbool).
% 7.95/1.60 tff(func_def_4, type, def_39: tlbool > tlbool).
% 7.95/1.60 tff(pred_def_5, type, 'semilattice_neutr$b': ('B_set_b_set_b_set_fun_fun$' * 'B_set$') > $o).
% 7.95/1.60 tff(pred_def_6, type, 'less_eq$b': (tlbool * tlbool) > $o).
% 7.95/1.60 tff(pred_def_7, type, 'member$': ('B$' * 'B_set$') > $o).
% 7.95/1.60 tff(pred_def_8, type, 'uminus$b': tlbool > $o).
% 7.95/1.60 tff(pred_def_9, type, 'is_empty$': 'B_set$' > $o).
% 7.95/1.60 tff(pred_def_10, type, 'semilattice_neutr$a': ('B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$' * 'B_bool_fun$') > $o).
% 7.95/1.60 tff(pred_def_11, type, 'is_singleton$': 'B_set$' > $o).
% 7.95/1.60 tff(pred_def_12, type, 'fun_app$e': ('Bool_bool_fun$' * tlbool) > $o).
% 7.95/1.60 tff(pred_def_13, type, 'pairwise$': ('B_b_bool_fun_fun$' * 'B_set$') > $o).
% 7.95/1.60 tff(pred_def_14, type, 'ordering_top$': ('B_bool_fun_b_bool_fun_bool_fun_fun$' * 'B_bool_fun_b_bool_fun_bool_fun_fun$' * 'B_bool_fun$') > $o).
% 7.95/1.60 tff(pred_def_15, type, 'ordering_top$a': ('B_set_b_set_bool_fun_fun$' * 'B_set_b_set_bool_fun_fun$' * 'B_set$') > $o).
% 7.95/1.60 tff(pred_def_16, type, 'fun_app$': ('B_bool_fun$' * 'B$') > $o).
% 7.95/1.60 tff(pred_def_17, type, 'fun_app$l': ('B_bool_fun_bool_fun$' * 'B_bool_fun$') > $o).
% 7.95/1.60 tff(pred_def_18, type, 'minus$b': (tlbool * tlbool) > $o).
% 7.95/1.60 tff(pred_def_19, type, 'ordering_top_axioms$': ('B_set_b_set_bool_fun_fun$' * 'B_set$') > $o).
% 7.95/1.60 tff(pred_def_20, type, sP0: ('B_set$' * 'B_set$' * 'B$' * 'B$') > $o).
% 7.95/1.60 tff(pred_def_21, type, sP1: ('B$' * 'B$' * 'B_set$' * 'B_set$') > $o).
% 7.95/1.60 tff(pred_def_22, type, sP2: ('B_set$' * 'B_set$' * 'B$') > $o).
% 7.95/1.60 tff(pred_def_23, type, sP3: ('B_set$' * 'B_set$' * 'B$') > $o).
% 7.95/1.60 tff(pred_def_24, type, sP4: (tlbool * tlbool) > $o).
% 7.95/1.60 tff(pred_def_25, type, sP5: (tlbool * tlbool) > $o).
% 7.95/1.60 tff(pred_def_26, type, sP6: (tlbool * tlbool) > $o).
% 7.95/1.60 tff(pred_def_27, type, sP7: (tlbool * tlbool) > $o).
% 7.95/1.60 tff(pred_def_28, type, sP8: ('B_set$' * 'B$' * 'B_set$') > $o).
% 7.95/1.60 tff(func_def_29, type, def_37: (tlbool * tlbool) > tlbool).
% 7.95/1.60 tff(func_def_30, type, tltrue: tlbool).
% 7.95/1.60 tff(func_def_31, type, def_19: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_32, type, 'inf$': 'B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$').
% 7.95/1.60 tff(func_def_33, type, def_24: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_34, type, 'minus$': 'B_set_b_set_b_set_fun_fun$').
% 7.95/1.60 tff(func_def_35, type, def_26: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_36, type, 'remove$': 'B$' > 'B_set_b_set_fun$').
% 7.95/1.60 tff(func_def_37, type, def_18: tlbool).
% 7.95/1.60 tff(func_def_38, type, def_2: tlbool).
% 7.95/1.60 tff(func_def_39, type, def_16: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_40, type, def_14: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_41, type, 'less$': 'B_set_b_set_bool_fun_fun$').
% 7.95/1.60 tff(func_def_42, type, 'sup$b': 'B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$').
% 7.95/1.60 tff(func_def_43, type, 'fun_app$k': ('B_b_bool_fun_fun$' * 'B$') > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_44, type, def_9: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_45, type, def_20: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_46, type, def_10: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_47, type, def_27: tlbool).
% 7.95/1.60 tff(func_def_48, type, 'sup$': 'B_set_b_set_b_set_fun_fun$').
% 7.95/1.60 tff(func_def_49, type, def_34: tlbool).
% 7.95/1.60 tff(func_def_50, type, 'uu$': 'B_set_b_bool_fun_fun$').
% 7.95/1.60 tff(func_def_51, type, def_1: tlbool).
% 7.95/1.60 tff(func_def_52, type, def_25: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_53, type, def_13: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_54, type, 'uminus$a': 'B_bool_fun_b_bool_fun_fun$').
% 7.95/1.60 tff(func_def_55, type, def_41: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_56, type, 'bot$b': 'B_bool_fun$').
% 7.95/1.60 tff(func_def_57, type, def_7: tlbool).
% 7.95/1.60 tff(func_def_58, type, 'minus$a': 'B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$').
% 7.95/1.60 tff(func_def_59, type, def_38: (tlbool * tlbool) > tlbool).
% 7.95/1.60 tff(func_def_60, type, tlfalse: tlbool).
% 7.95/1.60 tff(func_def_61, type, 'inf$a': 'B_set_b_set_b_set_fun_fun$').
% 7.95/1.60 tff(func_def_62, type, def_31: tlbool).
% 7.95/1.60 tff(func_def_63, type, 'the_elem$': 'B_set$' > 'B$').
% 7.95/1.60 tff(func_def_64, type, def_28: tlbool).
% 7.95/1.60 tff(func_def_65, type, 'bot$': 'B_set$').
% 7.95/1.60 tff(func_def_66, type, def_30: tlbool).
% 7.95/1.60 tff(func_def_67, type, 'b$': 'B$').
% 7.95/1.60 tff(func_def_68, type, 'less$a': 'B_bool_fun_b_bool_fun_bool_fun_fun$').
% 7.95/1.60 tff(func_def_69, type, 'less_eq$': 'B_set_b_set_bool_fun_fun$').
% 7.95/1.60 tff(func_def_70, type, def_35: tlbool).
% 7.95/1.60 tff(func_def_71, type, def_42: tlbool > tlbool).
% 7.95/1.60 tff(func_def_72, type, def_23: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_73, type, 'fun_app$h': ('B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$' * 'B_bool_fun$') > 'B_bool_fun_b_bool_fun_fun$').
% 7.95/1.60 tff(func_def_74, type, 'sup$a': 'Bool_bool_bool_fun_fun$').
% 7.95/1.60 tff(func_def_75, type, 'fun_app$g': ('B_bool_fun_b_bool_fun_fun$' * 'B_bool_fun$') > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_76, type, 'fun_app$d': ('B_bool_fun_b_set_fun$' * 'B_bool_fun$') > 'B_set$').
% 7.95/1.60 tff(func_def_77, type, def_11: ('B_bool_fun$' * 'B$') > tlbool).
% 7.95/1.60 tff(func_def_78, type, sK9: 'B_bool_fun$' > 'B$').
% 7.95/1.60 tff(func_def_79, type, sK10: 'B_bool_fun$' > 'B$').
% 7.95/1.60 tff(func_def_80, type, sK11: 'B_set$' > 'B$').
% 7.95/1.60 tff(func_def_81, type, sK12: 'B_set$' > 'B$').
% 7.95/1.60 tff(func_def_82, type, sK13: 'B_set$' > 'B$').
% 7.95/1.60 tff(func_def_83, type, sK14: 'B$').
% 7.95/1.60 tff(func_def_84, type, sK15: 'B_set$' > 'B$').
% 7.95/1.60 tff(func_def_85, type, sK16: ('B$' * 'B_set$') > 'B_set$').
% 7.95/1.60 tff(func_def_86, type, sK17: ('B_set$' * 'B_set$' * 'B$' * 'B$') > 'B_set$').
% 7.95/1.60 tff(func_def_87, type, sK18: ('B$' * 'B_set$') > 'B_set$').
% 7.95/1.60 tff(func_def_88, type, sK19: ('B_bool_fun$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_89, type, sK20: ('B_set$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_90, type, sK21: ('B_set$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_91, type, sK22: ('B_set$' * 'B_set$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_92, type, sK23: ('B_set$' * 'B_set$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_93, type, sK24: ('B_set$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_94, type, sK25: ('B_set$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_95, type, sK26: ('B_set$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_96, type, sK27: ('B$' * 'B_set$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_97, type, sK28: 'B_set$' > 'B$').
% 7.95/1.60 tff(func_def_98, type, sK29: 'B_set$' > 'B$').
% 7.95/1.60 tff(func_def_99, type, sK30: 'B_set$' > 'B$').
% 7.95/1.60 tff(func_def_100, type, sK31: 'B_set$' > 'B$').
% 7.95/1.60 tff(func_def_101, type, sK32: ('B_b_bool_fun_fun$' * 'B_set$') > 'B$').
% 7.95/1.60 tff(func_def_102, type, sK33: ('B_b_bool_fun_fun$' * 'B_set$') > 'B$').
% 7.95/1.60 tff(func_def_103, type, sK34: ('B_set$' * 'B_set$') > 'B$').
% 7.95/1.60 tff(func_def_104, type, sK35: ('B_bool_fun$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_105, type, sK36: ('B_b_bool_fun_fun$' * 'B_b_bool_fun_fun$') > 'B$').
% 7.95/1.60 tff(func_def_106, type, sK37: ('B_b_bool_fun_fun$' * 'B_b_bool_fun_fun$') > 'B$').
% 7.95/1.60 tff(func_def_107, type, sK38: ('B_b_bool_fun_fun$' * 'B_set$') > 'B$').
% 7.95/1.60 tff(func_def_108, type, sK39: ('B_b_bool_fun_fun$' * 'B_set$') > 'B$').
% 7.95/1.60 tff(func_def_109, type, sK40: ('B_bool_fun$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_110, type, sK41: ('B_set$' * 'B_set$') > 'B$').
% 7.95/1.60 tff(func_def_111, type, sK42: ('B_set$' * 'B_set$') > 'B$').
% 7.95/1.60 tff(func_def_112, type, sK43: ('B_set$' * 'B_b_bool_fun_fun$') > 'B$').
% 7.95/1.60 tff(func_def_113, type, sK44: ('B_set$' * 'B_b_bool_fun_fun$') > 'B$').
% 7.95/1.60 tff(func_def_114, type, sK45: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_115, type, sK46: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_116, type, sK47: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_117, type, sK48: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_118, type, sK49: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_119, type, sK50: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_120, type, sK51: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_121, type, sK52: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_122, type, sK53: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_123, type, sK54: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_124, type, sK55: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_125, type, sK56: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_126, type, sK57: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_127, type, sK58: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_128, type, sK59: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_129, type, sK60: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_130, type, sK61: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_131, type, sK62: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_132, type, sK63: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_133, type, sK64: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_134, type, sK65: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_135, type, sK66: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_136, type, sK67: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_137, type, sK68: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_138, type, sK69: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_139, type, sK70: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_140, type, sK71: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_141, type, sK72: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_142, type, sK73: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_143, type, sK74: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_144, type, sK75: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_145, type, sK76: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_146, type, sK77: ('B_bool_fun$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_147, type, sK78: ('B_bool_fun$' * 'B_bool_fun$') > 'B$').
% 7.95/1.60 tff(func_def_148, type, sK79: ('B_b_bool_fun_fun$' * 'B$' * 'B_set$') > 'B$').
% 7.95/1.60 tff(func_def_149, type, sK80: 'B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_150, type, sK81: 'B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_151, type, sK82: 'B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_152, type, sK83: 'B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_153, type, sK84: 'B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_154, type, sK85: 'B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_155, type, sK86: 'B_bool_fun_b_bool_fun_b_bool_fun_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_156, type, sK87: 'B_set_b_set_b_set_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_157, type, sK88: 'B_set_b_set_b_set_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_158, type, sK89: 'B_set_b_set_b_set_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_159, type, sK90: 'B_set_b_set_b_set_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_160, type, sK91: 'B_set_b_set_b_set_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_161, type, sK92: 'B_set_b_set_b_set_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_162, type, sK93: 'B_set_b_set_b_set_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_163, type, sK94: ('B_set$' * 'B_set$' * 'B_set$') > 'B_set$').
% 7.95/1.60 tff(func_def_164, type, sK95: ('B_set$' * 'B_set$' * 'B_set$') > 'B_set$').
% 7.95/1.60 tff(func_def_165, type, sK96: 'B_set$' > 'B$').
% 7.95/1.60 tff(func_def_166, type, sK97: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_167, type, sK98: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_168, type, sK99: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_169, type, sK100: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_170, type, sK101: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_171, type, sK102: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_172, type, sK103: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_173, type, sK104: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_174, type, sK105: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_175, type, sK106: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_176, type, sK107: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_177, type, sK108: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_178, type, sK109: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_179, type, sK110: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_180, type, sK111: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_181, type, sK112: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_182, type, sK113: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_183, type, sK114: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_184, type, sK115: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_185, type, sK116: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_186, type, sK117: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_187, type, sK118: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_188, type, sK119: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_189, type, sK120: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_190, type, sK121: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_191, type, sK122: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_192, type, sK123: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_193, type, sK124: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_194, type, sK125: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_195, type, sK126: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_196, type, sK127: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_197, type, sK128: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_198, type, sK129: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_199, type, sK130: 'B_bool_fun_b_set_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_200, type, sK131: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_201, type, sK132: 'B_set_b_bool_fun_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_202, type, sK133: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_203, type, sK134: 'B_bool_fun_b_bool_fun_fun$' > 'B_bool_fun$').
% 7.95/1.60 tff(func_def_204, type, sK135: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_205, type, sK136: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_206, type, sK137: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_207, type, sK138: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_208, type, sK139: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_209, type, sK140: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_210, type, sK141: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_211, type, sK142: 'B_set_b_set_fun$' > 'B_set$').
% 7.95/1.60 tff(func_def_212, type, sK143: ('B_set$' * 'B_set$') > 'B$').
% 7.95/1.60 tff(f2,conjecture,(
% 7.95/1.60 'top$' = 'fun_app$b'('fun_app$c'('sup$','fun_app$b'('fun_app$c'('minus$','top$'),'fun_app$b'('insert$'('a$'),'bot$'))),'fun_app$b'('insert$'('a$'),'bot$'))),
% 7.95/1.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture1)).
% 7.95/1.60
% 7.95/1.60 tff(f3,negated_conjecture,(
% 7.95/1.60 ~ 'top$' = 'fun_app$b'('fun_app$c'('sup$','fun_app$b'('fun_app$c'('minus$','top$'),'fun_app$b'('insert$'('a$'),'bot$'))),'fun_app$b'('insert$'('a$'),'bot$'))),
% 7.95/1.60 inference(negated_conjecture,[status(cth)],[f2])).
% 7.95/1.60
% 7.95/1.60 tff(f4,axiom,(
% 7.95/1.60 'a$' = 'b$'),
% 7.95/1.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2)).
% 7.95/1.60
% 7.95/1.60 tff(f8,axiom,(
% 7.95/1.60 ! [X0 : 'B_set$',X1 : 'B_set$'] : 'fun_app$b'('fun_app$c'('sup$','fun_app$b'('fun_app$c'('minus$',X0),X1)),X1) = 'fun_app$b'('fun_app$c'('sup$',X0),X1)),
% 7.95/1.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom6)).
% 7.95/1.60
% 7.95/1.60 tff(f93,axiom,(
% 7.95/1.60 ! [X0 : 'B_set$'] : 'fun_app$b'('fun_app$c'('sup$','top$'),X0) = 'top$'),
% 7.95/1.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom91)).
% 7.95/1.60
% 7.95/1.60 tff(f148,axiom,(
% 7.95/1.60 ! [X0 : 'B_set$',X1 : 'B_set$'] : 'fun_app$b'('fun_app$c'('sup$',X0),X1) = 'fun_app$b'('fun_app$c'('sup$',X1),X0)),
% 7.95/1.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom146)).
% 7.95/1.60
% 7.95/1.60 tff(f681,plain,(
% 7.95/1.60 'top$' != 'fun_app$b'('fun_app$c'('sup$','fun_app$b'('fun_app$c'('minus$','top$'),'fun_app$b'('insert$'('a$'),'bot$'))),'fun_app$b'('insert$'('a$'),'bot$'))),
% 7.95/1.60 inference(flattening,[],[f3])).
% 7.95/1.60
% 7.95/1.60 tff(f1573,plain,(
% 7.95/1.60 'top$' != 'fun_app$b'('fun_app$c'('sup$','fun_app$b'('fun_app$c'('minus$','top$'),'fun_app$b'('insert$'('a$'),'bot$'))),'fun_app$b'('insert$'('a$'),'bot$'))),
% 7.95/1.60 inference(cnf_transformation,[],[f681])).
% 7.95/1.60
% 7.95/1.60 tff(f1574,plain,(
% 7.95/1.60 'a$' = 'b$'),
% 7.95/1.60 inference(cnf_transformation,[],[f4])).
% 7.95/1.60
% 7.95/1.60 tff(f1578,plain,(
% 7.95/1.60 ( ! [X0 : 'B_set$',X1 : 'B_set$'] : ('fun_app$b'('fun_app$c'('sup$',X0),X1) = 'fun_app$b'('fun_app$c'('sup$','fun_app$b'('fun_app$c'('minus$',X0),X1)),X1)) )),
% 7.95/1.60 inference(cnf_transformation,[],[f8])).
% 7.95/1.60
% 7.95/1.60 tff(f1743,plain,(
% 7.95/1.60 ( ! [X0 : 'B_set$'] : ('top$' = 'fun_app$b'('fun_app$c'('sup$','top$'),X0)) )),
% 7.95/1.60 inference(cnf_transformation,[],[f93])).
% 7.95/1.60
% 7.95/1.60 tff(f1865,plain,(
% 7.95/1.60 ( ! [X0 : 'B_set$',X1 : 'B_set$'] : ('fun_app$b'('fun_app$c'('sup$',X0),X1) = 'fun_app$b'('fun_app$c'('sup$',X1),X0)) )),
% 7.95/1.60 inference(cnf_transformation,[],[f148])).
% 7.95/1.60
% 7.95/1.60 tff(f2725,plain,(
% 7.95/1.60 'top$' != 'fun_app$b'('fun_app$c'('sup$','fun_app$b'('fun_app$c'('minus$','top$'),'fun_app$b'('insert$'('b$'),'bot$'))),'fun_app$b'('insert$'('b$'),'bot$'))),
% 7.95/1.60 inference(definition_unfolding,[],[f1573,f1574,f1574])).
% 7.95/1.60
% 7.95/1.60 tcf(c_51,negated_conjecture,
% 7.95/1.60 ('fun_app$b'('fun_app$c'('sup$','fun_app$b'('fun_app$c'('minus$','top$'),'fun_app$b'('insert$'('b$'),'bot$'))),'fun_app$b'('insert$'('b$'),'bot$')) != 'top$'),
% 7.95/1.60 inference(cnf_transformation,[],[f2725])).
% 7.95/1.60
% 7.95/1.60 tcf(c_55,plain,![X0_'B_set':'B_set$',X1_'B_set':'B_set$']:
% 7.95/1.60 ('fun_app$b'('fun_app$c'('sup$','fun_app$b'('fun_app$c'('minus$',X0_'B_set'),X1_'B_set')),X1_'B_set') = 'fun_app$b'('fun_app$c'('sup$',X0_'B_set'),X1_'B_set')),
% 7.95/1.60 inference(cnf_transformation,[],[f1578])).
% 7.95/1.60
% 7.95/1.60 tcf(c_218,plain,![X0_'B_set':'B_set$']:
% 7.95/1.60 ('fun_app$b'('fun_app$c'('sup$','top$'),X0_'B_set') = 'top$'),
% 7.95/1.60 inference(cnf_transformation,[],[f1743])).
% 7.95/1.60
% 7.95/1.60 tcf(c_332,plain,![X0_'B_set':'B_set$',X1_'B_set':'B_set$']:
% 7.95/1.60 ('fun_app$b'('fun_app$c'('sup$',X0_'B_set'),X1_'B_set') = 'fun_app$b'('fun_app$c'('sup$',X1_'B_set'),X0_'B_set')),
% 7.95/1.60 inference(cnf_transformation,[],[f1865])).
% 7.95/1.60
% 7.95/1.60 tcf(c_1765,plain,![X0_'B_set':'B_set$',X1_'B_set':'B_set$']:
% 7.95/1.60 ('fun_app$b'('fun_app$c'('sup$',X0_'B_set'),'fun_app$b'('fun_app$c'('minus$',X1_'B_set'),X0_'B_set')) = 'fun_app$b'('fun_app$c'('sup$',X1_'B_set'),X0_'B_set')),
% 7.95/1.60 inference(demodulation,[status(thm)],[c_55,c_332])).
% 7.95/1.60
% 7.95/1.60 tcf(c_2614,plain,
% 7.95/1.60 ($false),
% 7.95/1.60 inference(ground_joinability,[status(thm)],[c_51,c_332,c_218,c_1765])).
% 7.95/1.60
% 7.95/1.60
% 7.95/1.60 % SZS output end CNFRefutation for theBenchmark.p
% 7.95/1.60
% 7.95/1.60
%------------------------------------------------------------------------------