%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS202+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 : n006.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 01:01:09 PM UTC 2026
% Result : Theorem 0.14s 15.66s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 76 ( 30 ~; 25 |; 15 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 57 ( 3 sgn 28 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(non_thm_spt,axiom,
? [X3,X1,X2] :
( ? [X4] : model(X4,X2)
& ~ model(X3,X2)
& model(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).
fof(esa,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
<=> ? [X4] : model(X4,X2) )
<=> status(X1,X2,esa) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',esa) ).
fof(nota_esa_thm,conjecture,
nota(esa,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_esa_thm) ).
fof(nota,axiom,
! [X7,X8] :
( ? [X1,X2] :
( ~ status(X1,X2,X8)
& status(X1,X2,X7) )
<=> nota(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(c_0_5,plain,
? [X3,X1,X2] :
( ? [X4] : model(X4,X2)
& ~ model(X3,X2)
& model(X3,X1) ),
inference(fof_simplification,[status(thm)],[non_thm_spt]) ).
fof(c_0_6,plain,
! [X25,X26,X27,X28,X31,X32,X33,X35] :
( ( ~ status(X31,X32,esa)
| model(esk7_2(X31,X32),X31)
| ~ model(X35,X32) )
& ( ~ status(X31,X32,esa)
| model(esk6_2(X31,X32),X32)
| ~ model(X33,X31) )
& ( status(X25,X26,esa)
| model(esk5_2(X25,X26),X26)
| model(esk4_2(X25,X26),X25) )
& ( status(X25,X26,esa)
| ~ model(X28,X26)
| ~ model(X27,X25) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[esa])])])])])])]) ).
fof(c_0_7,plain,
( model(esk25_0,esk24_0)
& ~ model(esk22_0,esk24_0)
& model(esk22_0,esk23_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,negated_conjecture,
~ nota(esa,thm),
inference(assume_negation,[status(cth)],[nota_esa_thm]) ).
fof(c_0_9,plain,
! [X7,X8] :
( ? [X1,X2] :
( ~ status(X1,X2,X8)
& status(X1,X2,X7) )
<=> nota(X7,X8) ),
inference(fof_simplification,[status(thm)],[nota]) ).
cnf(c_0_10,plain,
( ~ model(X3,X4)
| ~ model(X1,X2)
| status(X2,X4,esa) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
model(esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,negated_conjecture,
~ nota(esa,thm),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X11,X12,X13,X14,X15,X16] :
( ( ~ nota(X15,X16)
| ~ status(esk1_2(X15,X16),esk2_2(X15,X16),X16) )
& ( ~ nota(X15,X16)
| status(esk1_2(X15,X16),esk2_2(X15,X16),X15) )
& ( nota(X11,X12)
| status(X13,X14,X12)
| ~ status(X13,X14,X11) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])])]) ).
cnf(c_0_14,plain,
( ~ model(X2,X1)
| status(X1,esk24_0,esa) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
model(esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,negated_conjecture,
~ nota(esa,thm),
inference(fof_nnf,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( ~ status(X1,X2,X3)
| nota(X3,X4)
| status(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
status(esk23_0,esk24_0,esa),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_19,plain,
! [X19,X20,X22,X23,X24] :
( ( model(X24,X23)
| ~ model(X24,X22)
| ~ status(X22,X23,thm) )
& ( status(X19,X20,thm)
| ~ model(esk3_2(X19,X20),X20) )
& ( status(X19,X20,thm)
| model(esk3_2(X19,X20),X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm])])])])])])]) ).
cnf(c_0_20,negated_conjecture,
~ nota(esa,thm),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( status(esk23_0,esk24_0,X1)
| nota(esa,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( ~ model(X3,X1)
| ~ status(X1,X2,thm)
| model(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
status(esk23_0,esk24_0,thm),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( ~ model(X1,esk23_0)
| model(X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,plain,
~ model(esk22_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_15]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS202+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/15.59 % Computer : n006.cluster.edu
% 0.10/15.59 % Model : x86_64 x86_64
% 0.10/15.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.59 % Memory : 8046.5625MB
% 0.10/15.59 % OS : Linux 6.8.0-71-generic
% 0.10/15.59 % CPULimit : 300
% 0.10/15.59 % WCLimit : 300
% 0.10/15.59 % DateTime : Sun Sep 20 22:56:16 UTC 2026
% 0.10/15.59 % CPUTime :
% 0.10/15.59 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/15.63 Running first-order theorem proving
% 0.14/15.63 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
% 0.14/15.66 % Version: 3.5.1
% 0.14/15.66 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/15.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/15.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/15.66 % Starting new_bool_3 with 300s (1) cores
% 0.14/15.66 % Starting new_bool_1 with 300s (1) cores
% 0.14/15.66 % Starting sh5l with 300s (1) cores
% 0.14/15.66 % new_bool_3 with pid 1439392 completed with status 0
% 0.14/15.66 % Result found by new_bool_3
% 0.14/15.66 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/15.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/15.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/15.66 % Starting new_bool_3 with 300s (1) cores
% 0.14/15.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/15.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/15.66 % Search class: FGHNF-FFSM22-SFFFFFNN
% 0.14/15.66 % partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.14/15.66 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/15.66 % Starting SubtermCWHack with 31s (1) cores
% 0.14/15.66 % SubtermCWHack with pid 1439395 completed with status 0
% 0.14/15.66 % Result found by SubtermCWHack
% 0.14/15.66 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/15.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/15.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/15.66 % Starting new_bool_3 with 300s (1) cores
% 0.14/15.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/15.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/15.66 % Search class: FGHNF-FFSM22-SFFFFFNN
% 0.14/15.66 % partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.14/15.66 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/15.66 % Starting SubtermCWHack with 31s (1) cores
% 0.14/15.66 % Preprocessing time : 0.001 s
% 0.14/15.66
% 0.14/15.66 % Proof found!
% 0.14/15.66 % SZS status Theorem
% 0.14/15.66 % SZS output start CNFRefutation
% See solution above
% 0.14/15.66 % Parsed axioms : 33
% 0.14/15.66 % Removed by relevancy pruning/SinE : 23
% 0.14/15.66 % Initial clauses : 26
% 0.14/15.66 % Removed in clause preprocessing : 0
% 0.14/15.66 % Initial clauses in saturation : 26
% 0.14/15.66 % Processed clauses : 144
% 0.14/15.66 % ...of these trivial : 7
% 0.14/15.66 % ...subsumed : 3
% 0.14/15.66 % ...remaining for further processing : 134
% 0.14/15.66 % Other redundant clauses eliminated : 0
% 0.14/15.66 % Clauses deleted for lack of memory : 0
% 0.14/15.66 % Backward-subsumed : 0
% 0.14/15.66 % Backward-rewritten : 0
% 0.14/15.66 % Generated clauses : 352
% 0.14/15.66 % ...of the previous two non-redundant : 289
% 0.14/15.66 % ...aggressively subsumed : 0
% 0.14/15.66 % Contextual simplify-reflections : 0
% 0.14/15.66 % Paramodulations : 352
% 0.14/15.66 % Factorizations : 0
% 0.14/15.66 % NegExts : 0
% 0.14/15.66 % Equation resolutions : 0
% 0.14/15.66 % Disequality decompositions : 0
% 0.14/15.66 % Total rewrite steps : 65
% 0.14/15.66 % ...of those cached : 8
% 0.14/15.66 % Propositional unsat checks : 0
% 0.14/15.66 % Propositional check models : 0
% 0.14/15.66 % Propositional check unsatisfiable : 0
% 0.14/15.66 % Propositional clauses : 0
% 0.14/15.66 % Propositional clauses after purity: 0
% 0.14/15.66 % Propositional unsat core size : 0
% 0.14/15.66 % Propositional preprocessing time : 0.000
% 0.14/15.66 % Propositional encoding time : 0.000
% 0.14/15.66 % Propositional solver time : 0.000
% 0.14/15.66 % Success case prop preproc time : 0.000
% 0.14/15.66 % Success case prop encoding time : 0.000
% 0.14/15.66 % Success case prop solver time : 0.000
% 0.14/15.66 % Current number of processed clauses : 134
% 0.14/15.66 % Positive orientable unit clauses : 88
% 0.14/15.66 % Positive unorientable unit clauses: 0
% 0.14/15.66 % Negative unit clauses : 8
% 0.14/15.66 % Non-unit-clauses : 38
% 0.14/15.66 % Current number of unprocessed clauses: 171
% 0.14/15.66 % ...number of literals in the above : 394
% 0.14/15.66 % Current number of archived formulas : 0
% 0.14/15.66 % Current number of archived clauses : 0
% 0.14/15.66 % Clause-clause subsumption calls (NU) : 206
% 0.14/15.66 % Rec. Clause-clause subsumption calls : 205
% 0.14/15.66 % Non-unit clause-clause subsumptions : 2
% 0.14/15.66 % Unit Clause-clause subsumption calls : 327
% 0.14/15.66 % Rewrite failures with RHS unbound : 0
% 0.14/15.66 % BW rewrite match attempts : 19
% 0.14/15.66 % BW rewrite match successes : 0
% 0.14/15.66 % Condensation attempts : 0
% 0.14/15.66 % Condensation successes : 0
% 0.14/15.66 % Termbank termtop insertions : 4892
% 0.14/15.66 % Search garbage collected termcells : 569
% 0.14/15.66
% 0.14/15.66 % -------------------------------------------------
% 0.14/15.66 % User time : 0.010 s
% 0.14/15.66 % System time : 0.004 s
% 0.14/15.66 % Total time : 0.014 s
% 0.14/15.66 % Maximum resident set size: 3680 pages
% 0.14/15.66
% 0.14/15.66 % -------------------------------------------------
% 0.14/15.66 % User time : 0.013 s
% 0.14/15.66 % System time : 0.008 s
% 0.14/15.66 % Total time : 0.021 s
% 0.14/15.66 % Maximum resident set size: 4864 pages
% 0.14/15.66 % E exiting
%------------------------------------------------------------------------------