%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC151+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 02:43:14 PM UTC 2026
% Result : Theorem 0.18s 0.58s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 36 ( 9 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 41 ( 13 ~; 9 |; 7 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( totalorderP(X4)
| ~ totalorderP(X2)
| X1 != X3
| X2 != X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( totalorderP(X4)
| ~ totalorderP(X2)
| X1 != X3
| X2 != X4 ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( totalorderP(X4)
| ~ totalorderP(X2)
| X1 != X3
| X2 != X4 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
( ~ totalorderP(esk4_0)
& totalorderP(esk2_0)
& esk1_0 = esk3_0
& esk2_0 = esk4_0
& ssList(esk4_0)
& ssList(esk3_0)
& ssList(esk2_0)
& ssList(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
cnf(c_0_4,negated_conjecture,
totalorderP(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ totalorderP(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC151+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.50 % Computer : n010.cluster.edu
% 0.10/0.50 % Model : x86_64 x86_64
% 0.10/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.50 % Memory : 8046.5625MB
% 0.10/0.50 % OS : Linux 6.8.0-71-generic
% 0.10/0.50 % CPULimit : 300
% 0.10/0.50 % WCLimit : 300
% 0.10/0.50 % DateTime : Mon Sep 21 07:59:25 UTC 2026
% 0.10/0.50 % CPUTime :
% 0.10/0.50 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.55 Running first-order theorem proving
% 0.10/0.55 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.18/0.58 % Version: 3.5.1
% 0.18/0.58 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.58 % Starting sh5l with 300s (1) cores
% 0.18/0.58 % new_bool_3 with pid 422005 completed with status 0
% 0.18/0.58 % Result found by new_bool_3
% 0.18/0.58 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.58 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.18/0.58 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.58 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.58 % SubtermCWHack with pid 422008 completed with status 0
% 0.18/0.58 % Result found by SubtermCWHack
% 0.18/0.58 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.58 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.18/0.58 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.58 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.58 % Preprocessing time : 0.002 s
% 0.18/0.58
% 0.18/0.58 % Proof found!
% 0.18/0.58 % SZS status Theorem
% 0.18/0.58 % SZS output start CNFRefutation
% See solution above
% 0.18/0.59 % Parsed axioms : 96
% 0.18/0.59 % Removed by relevancy pruning/SinE : 67
% 0.18/0.59 % Initial clauses : 53
% 0.18/0.59 % Removed in clause preprocessing : 0
% 0.18/0.59 % Initial clauses in saturation : 53
% 0.18/0.59 % Processed clauses : 12
% 0.18/0.59 % ...of these trivial : 0
% 0.18/0.59 % ...subsumed : 0
% 0.18/0.59 % ...remaining for further processing : 12
% 0.18/0.59 % Other redundant clauses eliminated : 0
% 0.18/0.59 % Clauses deleted for lack of memory : 0
% 0.18/0.59 % Backward-subsumed : 0
% 0.18/0.59 % Backward-rewritten : 3
% 0.18/0.59 % Generated clauses : 0
% 0.18/0.59 % ...of the previous two non-redundant : 0
% 0.18/0.59 % ...aggressively subsumed : 0
% 0.18/0.59 % Contextual simplify-reflections : 0
% 0.18/0.59 % Paramodulations : 0
% 0.18/0.59 % Factorizations : 0
% 0.18/0.59 % NegExts : 0
% 0.18/0.59 % Equation resolutions : 0
% 0.18/0.59 % Disequality decompositions : 0
% 0.18/0.59 % Total rewrite steps : 3
% 0.18/0.59 % ...of those cached : 0
% 0.18/0.59 % Propositional unsat checks : 0
% 0.18/0.59 % Propositional check models : 0
% 0.18/0.59 % Propositional check unsatisfiable : 0
% 0.18/0.59 % Propositional clauses : 0
% 0.18/0.59 % Propositional clauses after purity: 0
% 0.18/0.59 % Propositional unsat core size : 0
% 0.18/0.59 % Propositional preprocessing time : 0.000
% 0.18/0.59 % Propositional encoding time : 0.000
% 0.18/0.59 % Propositional solver time : 0.000
% 0.18/0.59 % Success case prop preproc time : 0.000
% 0.18/0.59 % Success case prop encoding time : 0.000
% 0.18/0.59 % Success case prop solver time : 0.000
% 0.18/0.59 % Current number of processed clauses : 9
% 0.18/0.59 % Positive orientable unit clauses : 8
% 0.18/0.59 % Positive unorientable unit clauses: 0
% 0.18/0.59 % Negative unit clauses : 1
% 0.18/0.59 % Non-unit-clauses : 0
% 0.18/0.59 % Current number of unprocessed clauses: 41
% 0.18/0.59 % ...number of literals in the above : 157
% 0.18/0.59 % Current number of archived formulas : 0
% 0.18/0.59 % Current number of archived clauses : 3
% 0.18/0.59 % Clause-clause subsumption calls (NU) : 0
% 0.18/0.59 % Rec. Clause-clause subsumption calls : 0
% 0.18/0.59 % Non-unit clause-clause subsumptions : 0
% 0.18/0.59 % Unit Clause-clause subsumption calls : 0
% 0.18/0.59 % Rewrite failures with RHS unbound : 0
% 0.18/0.59 % BW rewrite match attempts : 2
% 0.18/0.59 % BW rewrite match successes : 2
% 0.18/0.59 % Condensation attempts : 0
% 0.18/0.59 % Condensation successes : 0
% 0.18/0.59 % Termbank termtop insertions : 5064
% 0.18/0.59 % Search garbage collected termcells : 1584
% 0.18/0.59
% 0.18/0.59 % -------------------------------------------------
% 0.18/0.59 % User time : 0.010 s
% 0.18/0.59 % System time : 0.002 s
% 0.18/0.59 % Total time : 0.012 s
% 0.18/0.59 % Maximum resident set size: 3756 pages
% 0.18/0.59
% 0.18/0.59 % -------------------------------------------------
% 0.18/0.59 % User time : 0.016 s
% 0.18/0.59 % System time : 0.009 s
% 0.18/0.59 % Total time : 0.025 s
% 0.18/0.59 % Maximum resident set size: 4608 pages
% 0.18/0.59 % E exiting
%------------------------------------------------------------------------------