%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET076-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 02:13:27 PM UTC 2026
% Result : Unsatisfiable 13.45s 2.12s
% Output : CNFRefutation 13.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 8 unt; 7 nHn; 15 RR)
% Number of literals : 36 ( 9 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pair_member,axiom,
( ~ member(X1,unordered_pair(X2,X3))
| X1 = X3
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(not_subclass_members1,axiom,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(prove_unordered_pair_is_subset_3,negated_conjecture,
~ subclass(unordered_pair(x,y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_3) ).
cnf(prove_unordered_pair_is_subset_1,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_1) ).
cnf(prove_unordered_pair_is_subset_2,negated_conjecture,
member(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_2) ).
cnf(c_0_6,plain,
( ~ member(X1,unordered_pair(X2,X3))
| X1 = X3
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[unordered_pair_member]) ).
cnf(c_0_7,plain,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
inference(fof_simplification,[status(thm)],[not_subclass_members2]) ).
cnf(c_0_8,plain,
( ~ member(X1,unordered_pair(X2,X3))
| X1 = X3
| X1 = X2 ),
c_0_6 ).
cnf(c_0_9,axiom,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),X1) ),
not_subclass_members1 ).
cnf(c_0_10,plain,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
c_0_7 ).
cnf(c_0_11,plain,
( subclass(unordered_pair(X1,X2),X3)
| not_subclass_element(unordered_pair(X1,X2),X3) = X2
| not_subclass_element(unordered_pair(X1,X2),X3) = X1 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
~ subclass(unordered_pair(x,y),z),
inference(fof_simplification,[status(thm)],[prove_unordered_pair_is_subset_3]) ).
cnf(c_0_13,plain,
( ~ member(X2,X3)
| subclass(unordered_pair(X1,X2),X3)
| not_subclass_element(unordered_pair(X1,X2),X3) = X1 ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ subclass(unordered_pair(x,y),z),
c_0_12 ).
cnf(c_0_15,plain,
( ~ member(X2,X3)
| ~ member(X1,X3)
| subclass(unordered_pair(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
member(x,z),
prove_unordered_pair_is_subset_1 ).
cnf(c_0_17,negated_conjecture,
member(y,z),
prove_unordered_pair_is_subset_2 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET076-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 04:49:53 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.32 Running first-order theorem proving
% 0.07/0.32 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
% 13.45/2.12 % Version: 3.5.1
% 13.45/2.12 % Preprocessing class: FSLSSMSMSSSNFFN.
% 13.45/2.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.45/2.12 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 13.45/2.12 % Starting new_bool_3 with 300s (1) cores
% 13.45/2.12 % Starting new_bool_1 with 300s (1) cores
% 13.45/2.12 % Starting sh5l with 300s (1) cores
% 13.45/2.12 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1592129 completed with status 0
% 13.45/2.12 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 13.45/2.12 % Preprocessing class: FSLSSMSMSSSNFFN.
% 13.45/2.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.45/2.12 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 13.45/2.12 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 13.45/2.12 % No SInE strategy applied
% 13.45/2.12 % Search class: FGHSM-FFLM31-DFFFFFNN
% 13.45/2.12 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 13.45/2.12 % Starting SubtermCWHack with 136s (1) cores
% 13.45/2.12 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 13.45/2.12 % Starting new_bool_3 with 311s (1) cores
% 13.45/2.12 % Starting new_bool_1 with 308s (1) cores
% 13.45/2.12 % Starting sh5l with 304s (1) cores
% 13.45/2.12 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1592137 completed with status 0
% 13.45/2.12 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 13.45/2.12 % Preprocessing class: FSLSSMSMSSSNFFN.
% 13.45/2.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.45/2.12 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 13.45/2.12 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 13.45/2.12 % No SInE strategy applied
% 13.45/2.12 % Search class: FGHSM-FFLM31-DFFFFFNN
% 13.45/2.12 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 13.45/2.12 % Starting SubtermCWHack with 136s (1) cores
% 13.45/2.12 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 13.45/2.12 % Preprocessing time : 0.002 s
% 13.45/2.12 % Presaturation interreduction done
% 13.45/2.12
% 13.45/2.12 % Proof found!
% 13.45/2.12 % SZS status Unsatisfiable
% 13.45/2.12 % SZS output start CNFRefutation
% See solution above
% 13.45/2.12 % Parsed axioms : 121
% 13.45/2.12 % Removed by relevancy pruning/SinE : 0
% 13.45/2.12 % Initial clauses : 121
% 13.45/2.12 % Removed in clause preprocessing : 15
% 13.45/2.12 % Initial clauses in saturation : 106
% 13.45/2.12 % Processed clauses : 14925
% 13.45/2.12 % ...of these trivial : 237
% 13.45/2.12 % ...subsumed : 12429
% 13.45/2.12 % ...remaining for further processing : 2259
% 13.45/2.12 % Other redundant clauses eliminated : 17
% 13.45/2.12 % Clauses deleted for lack of memory : 0
% 13.45/2.12 % Backward-subsumed : 125
% 13.45/2.12 % Backward-rewritten : 185
% 13.45/2.12 % Generated clauses : 144732
% 13.45/2.12 % ...of the previous two non-redundant : 109781
% 13.45/2.12 % ...aggressively subsumed : 0
% 13.45/2.12 % Contextual simplify-reflections : 14
% 13.45/2.12 % Paramodulations : 144589
% 13.45/2.12 % Factorizations : 34
% 13.45/2.12 % NegExts : 0
% 13.45/2.12 % Equation resolutions : 109
% 13.45/2.12 % Disequality decompositions : 0
% 13.45/2.12 % Total rewrite steps : 106688
% 13.45/2.12 % ...of those cached : 104859
% 13.45/2.12 % Propositional unsat checks : 0
% 13.45/2.12 % Propositional check models : 0
% 13.45/2.12 % Propositional check unsatisfiable : 0
% 13.45/2.12 % Propositional clauses : 0
% 13.45/2.12 % Propositional clauses after purity: 0
% 13.45/2.12 % Propositional unsat core size : 0
% 13.45/2.12 % Propositional preprocessing time : 0.000
% 13.45/2.12 % Propositional encoding time : 0.000
% 13.45/2.12 % Propositional solver time : 0.000
% 13.45/2.12 % Success case prop preproc time : 0.000
% 13.45/2.12 % Success case prop encoding time : 0.000
% 13.45/2.12 % Success case prop solver time : 0.000
% 13.45/2.12 % Current number of processed clauses : 1843
% 13.45/2.12 % Positive orientable unit clauses : 119
% 13.45/2.12 % Positive unorientable unit clauses: 4
% 13.45/2.12 % Negative unit clauses : 38
% 13.45/2.12 % Non-unit-clauses : 1682
% 13.45/2.12 % Current number of unprocessed clauses: 93153
% 13.45/2.12 % ...number of literals in the above : 352238
% 13.45/2.12 % Current number of archived formulas : 0
% 13.45/2.12 % Current number of archived clauses : 428
% 13.45/2.12 % Clause-clause subsumption calls (NU) : 500150
% 13.45/2.12 % Rec. Clause-clause subsumption calls : 333718
% 13.45/2.12 % Non-unit clause-clause subsumptions : 10580
% 13.45/2.12 % Unit Clause-clause subsumption calls : 4817
% 13.45/2.12 % Rewrite failures with RHS unbound : 0
% 13.45/2.12 % BW rewrite match attempts : 435
% 13.45/2.12 % BW rewrite match successes : 76
% 13.45/2.12 % Condensation attempts : 0
% 13.45/2.12 % Condensation successes : 0
% 13.45/2.12 % Termbank termtop insertions : 4045697
% 13.45/2.12 % Search garbage collected termcells : 193
% 13.45/2.12
% 13.45/2.12 % -------------------------------------------------
% 13.45/2.12 % User time : 1.691 s
% 13.45/2.12 % System time : 0.053 s
% 13.45/2.12 % Total time : 1.745 s
% 13.45/2.12 % Maximum resident set size: 3988 pages
% 13.45/2.12
% 13.45/2.12 % -------------------------------------------------
% 13.45/2.12 % User time : 8.439 s
% 13.45/2.12 % System time : 0.344 s
% 13.45/2.12 % Total time : 8.783 s
% 13.45/2.12 % Maximum resident set size: 4864 pages
% 13.45/2.12 % E exiting
%------------------------------------------------------------------------------