%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET025+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 02:13:10 PM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ordered_pair_is_set,conjecture,
! [X1,X2] : member(ordered_pair(X1,X2),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_is_set) ).
fof(ordered_pair_defn,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',ordered_pair_defn) ).
fof(singleton_set_defn,axiom,
! [X1] : singleton(X1) = unordered_pair(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(unordered_pair,axiom,
! [X1,X2] : member(unordered_pair(X1,X2),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2] : member(ordered_pair(X1,X2),universal_class),
inference(assume_negation,[status(cth)],[ordered_pair_is_set]) ).
fof(c_0_5,plain,
! [X25,X26] : ordered_pair(X25,X26) = unordered_pair(singleton(X25),unordered_pair(X25,singleton(X26))),
inference(variable_rename,[status(thm)],[ordered_pair_defn]) ).
fof(c_0_6,plain,
! [X24] : singleton(X24) = unordered_pair(X24,X24),
inference(variable_rename,[status(thm)],[singleton_set_defn]) ).
fof(c_0_7,negated_conjecture,
~ member(ordered_pair(esk8_0,esk9_0),universal_class),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_8,plain,
ordered_pair(X1,X2) = unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
singleton(X1) = unordered_pair(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ member(ordered_pair(esk8_0,esk9_0),universal_class),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9]) ).
fof(c_0_12,plain,
! [X22,X23] : member(unordered_pair(X22,X23),universal_class),
inference(variable_rename,[status(thm)],[unordered_pair]) ).
cnf(c_0_13,negated_conjecture,
~ member(unordered_pair(unordered_pair(esk8_0,esk8_0),unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0))),universal_class),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
member(unordered_pair(X1,X2),universal_class),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET025+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n020.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 21 04:44:32 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 0.16/0.47 % Version: 3.5.1
% 0.16/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.47 % Starting sh5l with 300s (1) cores
% 0.16/0.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2026516 completed with status 0
% 0.16/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.47 % No SInE strategy applied
% 0.16/0.47 % Search class: FGHSM-FFMS21-DFFFFFNN
% 0.16/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.47 % Starting sh3 with 271s (1) cores
% 0.16/0.47 % Starting ho_unfolding_3 with 271s (1) cores
% 0.16/0.47 % Starting new_ho_10_cnf2 with 271s (1) cores
% 0.16/0.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2026525 completed with status 0
% 0.16/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.47 % No SInE strategy applied
% 0.16/0.47 % Search class: FGHSM-FFMS21-DFFFFFNN
% 0.16/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.47 % Preprocessing time : 0.004 s
% 0.16/0.47 % Presaturation interreduction done
% 0.16/0.47
% 0.16/0.47 % Proof found!
% 0.16/0.47 % SZS status Theorem
% 0.16/0.47 % SZS output start CNFRefutation
% See solution above
% 0.16/0.48 % Parsed axioms : 44
% 0.16/0.48 % Removed by relevancy pruning/SinE : 0
% 0.16/0.48 % Initial clauses : 90
% 0.16/0.48 % Removed in clause preprocessing : 8
% 0.16/0.48 % Initial clauses in saturation : 82
% 0.16/0.48 % Processed clauses : 7
% 0.16/0.48 % ...of these trivial : 0
% 0.16/0.48 % ...subsumed : 0
% 0.16/0.48 % ...remaining for further processing : 7
% 0.16/0.48 % Other redundant clauses eliminated : 0
% 0.16/0.48 % Clauses deleted for lack of memory : 0
% 0.16/0.48 % Backward-subsumed : 0
% 0.16/0.48 % Backward-rewritten : 1
% 0.16/0.48 % Generated clauses : 0
% 0.16/0.48 % ...of the previous two non-redundant : 0
% 0.16/0.48 % ...aggressively subsumed : 0
% 0.16/0.48 % Contextual simplify-reflections : 0
% 0.16/0.48 % Paramodulations : 0
% 0.16/0.48 % Factorizations : 0
% 0.16/0.48 % NegExts : 0
% 0.16/0.48 % Equation resolutions : 0
% 0.16/0.48 % Disequality decompositions : 0
% 0.16/0.48 % Total rewrite steps : 1
% 0.16/0.48 % ...of those cached : 0
% 0.16/0.48 % Propositional unsat checks : 0
% 0.16/0.48 % Propositional check models : 0
% 0.16/0.48 % Propositional check unsatisfiable : 0
% 0.16/0.48 % Propositional clauses : 0
% 0.16/0.48 % Propositional clauses after purity: 0
% 0.16/0.48 % Propositional unsat core size : 0
% 0.16/0.48 % Propositional preprocessing time : 0.000
% 0.16/0.48 % Propositional encoding time : 0.000
% 0.16/0.48 % Propositional solver time : 0.000
% 0.16/0.48 % Success case prop preproc time : 0.000
% 0.16/0.48 % Success case prop encoding time : 0.000
% 0.16/0.48 % Success case prop solver time : 0.000
% 0.16/0.48 % Current number of processed clauses : 6
% 0.16/0.48 % Positive orientable unit clauses : 5
% 0.16/0.48 % Positive unorientable unit clauses: 0
% 0.16/0.48 % Negative unit clauses : 1
% 0.16/0.48 % Non-unit-clauses : 0
% 0.16/0.48 % Current number of unprocessed clauses: 75
% 0.16/0.48 % ...number of literals in the above : 171
% 0.16/0.48 % Current number of archived formulas : 0
% 0.16/0.48 % Current number of archived clauses : 9
% 0.16/0.48 % Clause-clause subsumption calls (NU) : 0
% 0.16/0.48 % Rec. Clause-clause subsumption calls : 0
% 0.16/0.48 % Non-unit clause-clause subsumptions : 0
% 0.16/0.48 % Unit Clause-clause subsumption calls : 1
% 0.16/0.48 % Rewrite failures with RHS unbound : 0
% 0.16/0.48 % BW rewrite match attempts : 1
% 0.16/0.48 % BW rewrite match successes : 1
% 0.16/0.48 % Condensation attempts : 0
% 0.16/0.48 % Condensation successes : 0
% 0.16/0.48 % Termbank termtop insertions : 5689
% 0.16/0.48 % Search garbage collected termcells : 966
% 0.16/0.48
% 0.16/0.48 % -------------------------------------------------
% 0.16/0.48 % User time : 0.011 s
% 0.16/0.48 % System time : 0.004 s
% 0.16/0.48 % Total time : 0.015 s
% 0.16/0.48 % Maximum resident set size: 3948 pages
% 0.16/0.48
% 0.16/0.48 % -------------------------------------------------
% 0.16/0.48 % User time : 0.020 s
% 0.16/0.48 % System time : 0.016 s
% 0.16/0.48 % Total time : 0.036 s
% 0.16/0.48 % Maximum resident set size: 4608 pages
% 0.16/0.48 % E exiting
%------------------------------------------------------------------------------