%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : TOP001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 : Thu Sep 24 03:53:48 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 44 ( 7 unt; 4 nHn; 40 RR)
% Number of literals : 97 ( 0 equ; 52 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 88 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(union_of_members_3,axiom,
( ~ element_of_collection(X3,X2)
| ~ element_of_set(X1,X3)
| element_of_set(X1,union_of_members(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_3) ).
cnf(topology_generated_38,axiom,
( ~ element_of_set(X3,X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| element_of_collection(f10(X2,X1,X3),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_38) ).
cnf(topology_generated_37,axiom,
( ~ element_of_set(X3,X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| element_of_set(X3,f10(X2,X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_37) ).
cnf(set_theory_3,axiom,
( ~ equal_sets(X1,X2)
| subset_sets(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_3) ).
cnf(basis_for_topology_28,axiom,
( ~ basis(X1,X2)
| equal_sets(union_of_members(X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',basis_for_topology_28) ).
cnf(union_of_members_2,axiom,
( ~ element_of_set(X1,union_of_members(X2))
| element_of_collection(f1(X2,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_2) ).
cnf(union_of_members_1,axiom,
( ~ element_of_set(X1,union_of_members(X2))
| element_of_set(X1,f1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_1) ).
cnf(set_theory_2,axiom,
( ~ element_of_set(X3,X1)
| ~ subset_sets(X1,X2)
| element_of_set(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_2) ).
cnf(lemma_1a_1,negated_conjecture,
basis(cx,f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1a_1) ).
cnf(set_theory_4,axiom,
( element_of_set(in_1st_set(X1,X2),X1)
| subset_sets(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_4) ).
cnf(set_theory_5,axiom,
( ~ element_of_set(in_1st_set(X1,X2),X2)
| subset_sets(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_5) ).
cnf(lemma_1a_2,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1a_2) ).
cnf(c_0_12,plain,
( ~ element_of_collection(X3,X2)
| ~ element_of_set(X1,X3)
| element_of_set(X1,union_of_members(X2)) ),
inference(fof_simplification,[status(thm)],[union_of_members_3]) ).
cnf(c_0_13,plain,
( ~ element_of_set(X3,X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| element_of_collection(f10(X2,X1,X3),X2) ),
inference(fof_simplification,[status(thm)],[topology_generated_38]) ).
cnf(c_0_14,plain,
( ~ element_of_collection(X3,X2)
| ~ element_of_set(X1,X3)
| element_of_set(X1,union_of_members(X2)) ),
c_0_12 ).
cnf(c_0_15,plain,
( ~ element_of_set(X3,X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| element_of_collection(f10(X2,X1,X3),X2) ),
c_0_13 ).
cnf(c_0_16,plain,
( ~ element_of_set(X3,X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| element_of_set(X3,f10(X2,X1,X3)) ),
inference(fof_simplification,[status(thm)],[topology_generated_37]) ).
cnf(c_0_17,plain,
( ~ equal_sets(X1,X2)
| subset_sets(X1,X2) ),
inference(fof_simplification,[status(thm)],[set_theory_3]) ).
cnf(c_0_18,plain,
( ~ basis(X1,X2)
| equal_sets(union_of_members(X2),X1) ),
inference(fof_simplification,[status(thm)],[basis_for_topology_28]) ).
cnf(c_0_19,plain,
( ~ element_of_set(X4,X3)
| ~ element_of_set(X1,f10(X2,X3,X4))
| ~ element_of_collection(X3,top_of_basis(X2))
| element_of_set(X1,union_of_members(X2)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( ~ element_of_set(X3,X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| element_of_set(X3,f10(X2,X1,X3)) ),
c_0_16 ).
cnf(c_0_21,plain,
( ~ element_of_set(X1,union_of_members(X2))
| element_of_collection(f1(X2,X1),X2) ),
inference(fof_simplification,[status(thm)],[union_of_members_2]) ).
cnf(c_0_22,plain,
( ~ equal_sets(X1,X2)
| subset_sets(X1,X2) ),
c_0_17 ).
cnf(c_0_23,plain,
( ~ basis(X1,X2)
| equal_sets(union_of_members(X2),X1) ),
c_0_18 ).
cnf(c_0_24,plain,
( ~ element_of_set(X1,X3)
| ~ element_of_collection(X3,top_of_basis(X2))
| element_of_set(X1,union_of_members(X2)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( ~ element_of_set(X1,union_of_members(X2))
| element_of_collection(f1(X2,X1),X2) ),
c_0_21 ).
cnf(c_0_26,plain,
( ~ element_of_set(X1,union_of_members(X2))
| element_of_set(X1,f1(X2,X1)) ),
inference(fof_simplification,[status(thm)],[union_of_members_1]) ).
cnf(c_0_27,plain,
( ~ element_of_set(X3,X1)
| ~ subset_sets(X1,X2)
| element_of_set(X3,X2) ),
inference(fof_simplification,[status(thm)],[set_theory_2]) ).
cnf(c_0_28,plain,
( ~ basis(X2,X1)
| subset_sets(union_of_members(X1),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
basis(cx,f),
lemma_1a_1 ).
cnf(c_0_30,plain,
( ~ element_of_set(X3,union_of_members(top_of_basis(X2)))
| ~ element_of_set(X1,f1(top_of_basis(X2),X3))
| element_of_set(X1,union_of_members(X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
( ~ element_of_set(X1,union_of_members(X2))
| element_of_set(X1,f1(X2,X1)) ),
c_0_26 ).
cnf(c_0_32,plain,
( ~ element_of_set(X3,X1)
| ~ subset_sets(X1,X2)
| element_of_set(X3,X2) ),
c_0_27 ).
cnf(c_0_33,negated_conjecture,
subset_sets(union_of_members(f),cx),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
( ~ element_of_set(X1,union_of_members(top_of_basis(X2)))
| element_of_set(X1,union_of_members(X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,axiom,
( element_of_set(in_1st_set(X1,X2),X1)
| subset_sets(X1,X2) ),
set_theory_4 ).
cnf(c_0_36,plain,
( ~ element_of_set(in_1st_set(X1,X2),X2)
| subset_sets(X1,X2) ),
inference(fof_simplification,[status(thm)],[set_theory_5]) ).
cnf(c_0_37,negated_conjecture,
( ~ element_of_set(X1,union_of_members(f))
| element_of_set(X1,cx) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( element_of_set(in_1st_set(union_of_members(top_of_basis(X1)),X2),union_of_members(X1))
| subset_sets(union_of_members(top_of_basis(X1)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
inference(fof_simplification,[status(thm)],[lemma_1a_2]) ).
cnf(c_0_40,plain,
( ~ element_of_set(in_1st_set(X1,X2),X2)
| subset_sets(X1,X2) ),
c_0_36 ).
cnf(c_0_41,negated_conjecture,
( element_of_set(in_1st_set(union_of_members(top_of_basis(f)),X1),cx)
| subset_sets(union_of_members(top_of_basis(f)),X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
c_0_39 ).
cnf(c_0_43,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 12:37:58 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.45 % Version: 3.5.1
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % Starting sh5l with 300s (1) cores
% 0.12/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1755943 completed with status 0
% 0.12/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45 % No SInE strategy applied
% 0.12/0.45 % Search class: FGUNF-FFSF31-SFFFFFNN
% 0.12/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.12/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.45 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1755950 completed with status 0
% 0.12/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45 % No SInE strategy applied
% 0.12/0.45 % Search class: FGUNF-FFSF31-SFFFFFNN
% 0.12/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.12/0.45 % Preprocessing time : 0.001 s
% 0.12/0.45 % Presaturation interreduction done
% 0.12/0.45
% 0.12/0.45 % Proof found!
% 0.12/0.45 % SZS status Unsatisfiable
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.12/0.45 % Parsed axioms : 13
% 0.12/0.45 % Removed by relevancy pruning/SinE : 0
% 0.12/0.45 % Initial clauses : 13
% 0.12/0.45 % Removed in clause preprocessing : 0
% 0.12/0.45 % Initial clauses in saturation : 13
% 0.12/0.45 % Processed clauses : 40
% 0.12/0.45 % ...of these trivial : 0
% 0.12/0.45 % ...subsumed : 1
% 0.12/0.45 % ...remaining for further processing : 39
% 0.12/0.45 % Other redundant clauses eliminated : 0
% 0.12/0.45 % Clauses deleted for lack of memory : 0
% 0.12/0.45 % Backward-subsumed : 0
% 0.12/0.45 % Backward-rewritten : 0
% 0.12/0.45 % Generated clauses : 25
% 0.12/0.45 % ...of the previous two non-redundant : 20
% 0.12/0.45 % ...aggressively subsumed : 0
% 0.12/0.45 % Contextual simplify-reflections : 0
% 0.12/0.45 % Paramodulations : 25
% 0.12/0.45 % Factorizations : 0
% 0.12/0.45 % NegExts : 0
% 0.12/0.45 % Equation resolutions : 0
% 0.12/0.45 % Disequality decompositions : 0
% 0.12/0.45 % Total rewrite steps : 2
% 0.12/0.45 % ...of those cached : 0
% 0.12/0.45 % Propositional unsat checks : 0
% 0.12/0.45 % Propositional check models : 0
% 0.12/0.45 % Propositional check unsatisfiable : 0
% 0.12/0.45 % Propositional clauses : 0
% 0.12/0.45 % Propositional clauses after purity: 0
% 0.12/0.45 % Propositional unsat core size : 0
% 0.12/0.45 % Propositional preprocessing time : 0.000
% 0.12/0.45 % Propositional encoding time : 0.000
% 0.12/0.45 % Propositional solver time : 0.000
% 0.12/0.45 % Success case prop preproc time : 0.000
% 0.12/0.45 % Success case prop encoding time : 0.000
% 0.12/0.45 % Success case prop solver time : 0.000
% 0.12/0.45 % Current number of processed clauses : 26
% 0.12/0.45 % Positive orientable unit clauses : 4
% 0.12/0.45 % Positive unorientable unit clauses: 0
% 0.12/0.45 % Negative unit clauses : 1
% 0.12/0.45 % Non-unit-clauses : 21
% 0.12/0.45 % Current number of unprocessed clauses: 6
% 0.12/0.45 % ...number of literals in the above : 19
% 0.12/0.45 % Current number of archived formulas : 0
% 0.12/0.45 % Current number of archived clauses : 13
% 0.12/0.45 % Clause-clause subsumption calls (NU) : 86
% 0.12/0.45 % Rec. Clause-clause subsumption calls : 83
% 0.12/0.45 % Non-unit clause-clause subsumptions : 1
% 0.12/0.45 % Unit Clause-clause subsumption calls : 2
% 0.12/0.45 % Rewrite failures with RHS unbound : 0
% 0.12/0.45 % BW rewrite match attempts : 2
% 0.12/0.45 % BW rewrite match successes : 0
% 0.12/0.45 % Condensation attempts : 0
% 0.12/0.45 % Condensation successes : 0
% 0.12/0.45 % Termbank termtop insertions : 921
% 0.12/0.45 % Search garbage collected termcells : 31
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.003 s
% 0.12/0.45 % System time : 0.002 s
% 0.12/0.45 % Total time : 0.006 s
% 0.12/0.45 % Maximum resident set size: 3640 pages
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.010 s
% 0.12/0.45 % System time : 0.014 s
% 0.12/0.45 % Total time : 0.024 s
% 0.12/0.45 % Maximum resident set size: 4608 pages
% 0.12/0.45 % E exiting
%------------------------------------------------------------------------------