%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TOP001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 03:54:59 PM UTC 2026
% Result : Unsatisfiable 1.35s 1.28s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 59 ( 12 unt; 3 def)
% Number of atoms : 170 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 131 ( 62 ~; 69 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 92 ( 0 sgn 92 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( element_of_set(X0,f1(X1,X0))
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_1) ).
fof(f2,axiom,
! [X0,X1] :
( element_of_collection(f1(X1,X0),X1)
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ element_of_collection(X2,X1)
| ~ element_of_set(X0,X2)
| element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_3) ).
fof(f4,axiom,
! [X0,X1] :
( equal_sets(union_of_members(X1),X0)
| ~ basis(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',basis_for_topology_28) ).
fof(f5,axiom,
! [X2,X0,X1] :
( element_of_set(X2,f10(X1,X0,X2))
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_37) ).
fof(f6,axiom,
! [X2,X0,X1] :
( element_of_collection(f10(X1,X0,X2),X1)
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_38) ).
fof(f8,axiom,
! [X2,X0,X1] :
( element_of_set(X2,X1)
| ~ element_of_set(X2,X0)
| ~ subset_sets(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_2) ).
fof(f9,axiom,
! [X0,X1] :
( subset_sets(X0,X1)
| ~ equal_sets(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_3) ).
fof(f10,axiom,
! [X0,X1] :
( element_of_set(in_1st_set(X0,X1),X0)
| subset_sets(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_4) ).
fof(f11,axiom,
! [X0,X1] :
( ~ element_of_set(in_1st_set(X0,X1),X1)
| subset_sets(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_5) ).
fof(f12,negated_conjecture,
basis(cx,f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1a_1) ).
fof(f13,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1a_2) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( element_of_set(X0,f1(X1,X0))
| ~ element_of_set(X0,union_of_members(X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( element_of_collection(f1(X1,X0),X1)
| ~ element_of_set(X0,union_of_members(X1)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( element_of_set(X0,union_of_members(X2))
| ~ element_of_collection(X1,X2)
| ~ element_of_set(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( equal_sets(union_of_members(X1),X0)
| ~ basis(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( element_of_set(X2,f10(X1,X0,X2))
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( element_of_collection(f10(X1,X0,X2),X1)
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( element_of_set(X0,X2)
| ~ subset_sets(X1,X2)
| ~ element_of_set(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( subset_sets(X0,X1)
| ~ equal_sets(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( subset_sets(X0,X1)
| element_of_set(in_1st_set(X0,X1),X0) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( subset_sets(X0,X1)
| ~ element_of_set(in_1st_set(X0,X1),X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_73,negated_conjecture,
basis(cx,f),
inference(cnf_transformation,[],[f12]) ).
tcf(c_74,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
inference(cnf_transformation,[],[f13]) ).
tcf(c_136,plain,
equal_sets(union_of_members(f),cx),
inference(resolution,[status(thm)],[c_65,c_73]) ).
tcf(c_141,plain,
subset_sets(union_of_members(f),cx),
inference(resolution,[status(thm)],[c_70,c_136]) ).
tcf(c_285,definition,
iPr_def_10 = union_of_members(f),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_286,definition,
iPr_def_11 = top_of_basis(f),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_287,definition,
iPr_def_12 = union_of_members(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_288,plain,
subset_sets(iPr_def_10,cx),
inference(demodulation,[status(thm)],[c_141,c_285]) ).
tcf(c_289,negated_conjecture,
~ subset_sets(iPr_def_12,cx),
inference(demodulation,[status(thm)],[c_74,c_286,c_287]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i,X2: $i] :
( element_of_set(X1,X2)
| ~ element_of_set(X1,union_of_members(X0))
| ~ subset_sets(f1(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_62,c_69]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset_sets(X0,X2)
| element_of_set(in_1st_set(X0,X2),X1)
| ~ subset_sets(X0,X1) ),
inference(superposition,[status(thm)],[c_71,c_69]) ).
tcf(c_525,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset_sets(X0,X2)
| element_of_set(in_1st_set(X0,X2),union_of_members(X1))
| ~ element_of_collection(X0,X1) ),
inference(superposition,[status(thm)],[c_71,c_64]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( element_of_set(X2,union_of_members(X3))
| ~ element_of_set(X2,X1)
| ~ element_of_collection(X1,top_of_basis(X0))
| ~ element_of_collection(f10(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_66,c_64]) ).
tcf(c_556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset_sets(X0,X3)
| element_of_set(in_1st_set(X0,X3),X2)
| ~ subset_sets(X1,X2)
| ~ subset_sets(X0,X1) ),
inference(superposition,[status(thm)],[c_510,c_69]) ).
tcf(c_576,plain,
! [X0: $i,X1: $i] :
( subset_sets(X0,union_of_members(X1))
| ~ element_of_collection(X0,X1) ),
inference(superposition,[status(thm)],[c_525,c_72]) ).
tcf(c_598,plain,
! [X0: $i] :
( subset_sets(X0,iPr_def_10)
| ~ element_of_collection(X0,f) ),
inference(superposition,[status(thm)],[c_285,c_576]) ).
tcf(c_610,plain,
! [X0: $i] :
( subset_sets(f1(f,X0),iPr_def_10)
| ~ element_of_set(X0,union_of_members(f)) ),
inference(superposition,[status(thm)],[c_63,c_598]) ).
tcf(c_611,plain,
! [X0: $i] :
( subset_sets(f1(f,X0),iPr_def_10)
| ~ element_of_set(X0,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_610,c_285]) ).
tcf(c_694,plain,
( subset_sets(iPr_def_12,cx)
| ~ element_of_set(in_1st_set(iPr_def_12,cx),cx) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i] :
( subset_sets(X0,X1)
| element_of_set(in_1st_set(X0,X1),cx)
| ~ subset_sets(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_288,c_556]) ).
tcf(c_812,plain,
! [X0: $i] :
( subset_sets(X0,cx)
| ~ subset_sets(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_723,c_72]) ).
tcf(c_833,plain,
! [X0: $i] :
( subset_sets(f1(f,X0),cx)
| ~ element_of_set(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_611,c_812]) ).
tcf(c_847,plain,
! [X0: $i] :
( element_of_set(X0,cx)
| ~ element_of_set(X0,iPr_def_10)
| ~ element_of_set(X0,union_of_members(f)) ),
inference(superposition,[status(thm)],[c_833,c_509]) ).
tcf(c_848,plain,
! [X0: $i] :
( element_of_set(X0,cx)
| ~ element_of_set(X0,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_847,c_285]) ).
tcf(c_1470,plain,
! [X0: $i,X1: $i,X2: $i] :
( element_of_set(X2,union_of_members(X1))
| ~ element_of_set(X2,X0)
| ~ element_of_collection(X0,top_of_basis(X1)) ),
inference(superposition,[status(thm)],[c_67,c_538]) ).
tcf(c_1584,plain,
! [X0: $i,X1: $i] :
( element_of_set(X0,union_of_members(f))
| ~ element_of_collection(X1,iPr_def_11)
| ~ element_of_set(X0,X1) ),
inference(superposition,[status(thm)],[c_286,c_1470]) ).
tcf(c_1585,plain,
! [X0: $i,X1: $i] :
( element_of_set(X0,iPr_def_10)
| ~ element_of_collection(X1,iPr_def_11)
| ~ element_of_set(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_1584,c_285]) ).
tcf(c_1607,plain,
! [X0: $i,X1: $i] :
( subset_sets(X0,X1)
| element_of_set(in_1st_set(X0,X1),iPr_def_10)
| ~ element_of_collection(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_71,c_1585]) ).
tcf(c_1798,plain,
! [X0: $i] :
( subset_sets(X0,iPr_def_10)
| ~ element_of_collection(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_1607,c_72]) ).
tcf(c_2028,plain,
! [X0: $i] :
( subset_sets(f1(iPr_def_11,X0),iPr_def_10)
| ~ element_of_set(X0,union_of_members(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_63,c_1798]) ).
tcf(c_2030,plain,
! [X0: $i] :
( subset_sets(f1(iPr_def_11,X0),iPr_def_10)
| ~ element_of_set(X0,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_2028,c_287]) ).
tcf(c_2050,plain,
! [X0: $i] :
( element_of_set(X0,iPr_def_10)
| ~ element_of_set(X0,iPr_def_12)
| ~ element_of_set(X0,union_of_members(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_2030,c_509]) ).
tcf(c_2056,plain,
! [X0: $i] :
( element_of_set(X0,iPr_def_10)
| ~ element_of_set(X0,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_2050,c_287]) ).
tcf(c_2198,plain,
! [X0: $i] :
( subset_sets(iPr_def_12,X0)
| element_of_set(in_1st_set(iPr_def_12,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_71,c_2056]) ).
tcf(c_2239,plain,
! [X0: $i] :
( subset_sets(iPr_def_12,X0)
| element_of_set(in_1st_set(iPr_def_12,X0),cx) ),
inference(superposition,[status(thm)],[c_2198,c_848]) ).
tcf(c_2251,plain,
( subset_sets(iPr_def_12,cx)
| element_of_set(in_1st_set(iPr_def_12,cx),cx) ),
inference(instantiation,[status(thm)],[c_2239]) ).
tcf(c_2252,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2251,c_694,c_289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 04:06:58 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.35/1.28 % SZS status Started for theBenchmark.p
% 1.35/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.28
% 1.35/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.35/1.28
% 1.35/1.28 % ------ iProver source info
% 1.35/1.28
% 1.35/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.35/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.35/1.28 % git: non_committed_changes: false
% 1.35/1.28
% 1.35/1.28 % ------ Parsing...% successful
% 1.35/1.28
% 1.35/1.28
% 1.35/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.35/1.28
% 1.35/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.35/1.28
% 1.35/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.35/1.28
% 1.35/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.35/1.28 % ------ Proving...
% 1.35/1.28 % ------ Problem Properties
% 1.35/1.28
% 1.35/1.28 %
% 1.35/1.28 % clauses 14
% 1.35/1.28 % conjectures 1
% 1.35/1.28 % EPR 4
% 1.35/1.28 % Horn 13
% 1.35/1.28 % unary 6
% 1.35/1.28 % binary 4
% 1.35/1.28 % lits 26
% 1.35/1.28 % lits eq 3
% 1.35/1.28 % fd_pure 0
% 1.35/1.28 % fd_pseudo 0
% 1.35/1.28 % fd_cond 0
% 1.35/1.28 % fd_pseudo_cond 0
% 1.35/1.28 % AC symbols 0
% 1.35/1.28
% 1.35/1.28 % ------ Schedule dynamic 5 is on
% 1.35/1.28
% 1.35/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.35/1.28
% 1.35/1.28
% 1.35/1.28 % ------
% 1.35/1.28 % Current options:
% 1.35/1.28 % ------
% 1.35/1.28
% 1.35/1.28
% 1.35/1.28 %
% 1.35/1.28
% 1.35/1.28 % ------ Proving...
% 1.35/1.28 %
% 1.35/1.28
% 1.35/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.28
% 1.35/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.35/1.28
% 1.35/1.28
%------------------------------------------------------------------------------