%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : KRS195+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 : n026.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 01:01:53 PM UTC 2026
% Result : Theorem 0.25s 0.55s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 48 ( 18 ~; 18 |; 7 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 4 sgn 27 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(tca,axiom,
! [X1,X2] :
( ( ! [X4] : model(X4,X2)
& ~ ? [X3] : model(X3,X1) )
<=> status(X1,X2,tca) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',tca) ).
fof(isa,axiom,
! [X7,X8] :
( ! [X1,X2] :
( status(X1,X2,X7)
=> status(X1,X2,X8) )
<=> isa(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',isa) ).
fof(isa_tca_thm,conjecture,
isa(tca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_tca_thm) ).
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_4,plain,
! [X25,X26,X29,X30,X31,X32] :
( ( ~ status(X29,X30,tca)
| model(X32,X30) )
& ( ~ status(X29,X30,tca)
| ~ model(X31,X29) )
& ( status(X25,X26,tca)
| ~ model(esk5_2(X25,X26),X26)
| model(esk4_2(X25,X26),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)],[tca])])])])])])]) ).
fof(c_0_5,plain,
! [X11,X12,X15,X16,X17,X18] :
( ( status(X17,X18,X16)
| ~ status(X17,X18,X15)
| ~ isa(X15,X16) )
& ( isa(X11,X12)
| ~ status(esk1_2(X11,X12),esk2_2(X11,X12),X12) )
& ( isa(X11,X12)
| status(esk1_2(X11,X12),esk2_2(X11,X12),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)],[isa])])])])])])]) ).
fof(c_0_6,negated_conjecture,
~ isa(tca,thm),
inference(assume_negation,[status(cth)],[isa_tca_thm]) ).
fof(c_0_7,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_8,plain,
( ~ status(X3,X2,tca)
| model(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( isa(X1,X2)
| status(esk1_2(X1,X2),esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,negated_conjecture,
~ isa(tca,thm),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( ~ model(esk3_2(X1,X2),X2)
| status(X1,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( model(X2,esk2_2(tca,X1))
| isa(tca,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
fof(c_0_13,negated_conjecture,
~ isa(tca,thm),
inference(fof_nnf,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( ~ status(esk1_2(X1,X2),esk2_2(X1,X2),X2)
| isa(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( status(X2,esk2_2(tca,X1),thm)
| isa(tca,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
~ isa(tca,thm),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS195+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n026.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 20 22:59:36 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.50 Running first-order theorem proving
% 0.16/0.50 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
% 0.25/0.55 % Version: 3.5.1
% 0.25/0.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.55 % Starting sh5l with 300s (1) cores
% 0.25/0.55 % new_bool_3 with pid 783128 completed with status 0
% 0.25/0.55 % Result found by new_bool_3
% 0.25/0.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.55 % Search class: FGHNF-FFSM22-SFFFFFNN
% 0.25/0.55 % partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.25/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.55 % SubtermCWHack with pid 783131 completed with status 0
% 0.25/0.55 % Result found by SubtermCWHack
% 0.25/0.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.25/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.25/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.55 % Search class: FGHNF-FFSM22-SFFFFFNN
% 0.25/0.55 % partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.25/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.55 % Preprocessing time : 0.002 s
% 0.25/0.55
% 0.25/0.55 % Proof found!
% 0.25/0.55 % SZS status Theorem
% 0.25/0.55 % SZS output start CNFRefutation
% See solution above
% 0.25/0.55 % Parsed axioms : 33
% 0.25/0.55 % Removed by relevancy pruning/SinE : 23
% 0.25/0.55 % Initial clauses : 25
% 0.25/0.55 % Removed in clause preprocessing : 0
% 0.25/0.55 % Initial clauses in saturation : 25
% 0.25/0.55 % Processed clauses : 44
% 0.25/0.55 % ...of these trivial : 0
% 0.25/0.55 % ...subsumed : 4
% 0.25/0.55 % ...remaining for further processing : 40
% 0.25/0.55 % Other redundant clauses eliminated : 0
% 0.25/0.55 % Clauses deleted for lack of memory : 0
% 0.25/0.55 % Backward-subsumed : 0
% 0.25/0.55 % Backward-rewritten : 0
% 0.25/0.55 % Generated clauses : 38
% 0.25/0.55 % ...of the previous two non-redundant : 31
% 0.25/0.55 % ...aggressively subsumed : 0
% 0.25/0.55 % Contextual simplify-reflections : 0
% 0.25/0.55 % Paramodulations : 38
% 0.25/0.55 % Factorizations : 0
% 0.25/0.55 % NegExts : 0
% 0.25/0.55 % Equation resolutions : 0
% 0.25/0.55 % Disequality decompositions : 0
% 0.25/0.55 % Total rewrite steps : 3
% 0.25/0.55 % ...of those cached : 2
% 0.25/0.55 % Propositional unsat checks : 0
% 0.25/0.55 % Propositional check models : 0
% 0.25/0.55 % Propositional check unsatisfiable : 0
% 0.25/0.55 % Propositional clauses : 0
% 0.25/0.55 % Propositional clauses after purity: 0
% 0.25/0.55 % Propositional unsat core size : 0
% 0.25/0.55 % Propositional preprocessing time : 0.000
% 0.25/0.55 % Propositional encoding time : 0.000
% 0.25/0.55 % Propositional solver time : 0.000
% 0.25/0.55 % Success case prop preproc time : 0.000
% 0.25/0.55 % Success case prop encoding time : 0.000
% 0.25/0.55 % Success case prop solver time : 0.000
% 0.25/0.55 % Current number of processed clauses : 40
% 0.25/0.55 % Positive orientable unit clauses : 13
% 0.25/0.55 % Positive unorientable unit clauses: 0
% 0.25/0.55 % Negative unit clauses : 7
% 0.25/0.55 % Non-unit-clauses : 20
% 0.25/0.55 % Current number of unprocessed clauses: 12
% 0.25/0.55 % ...number of literals in the above : 33
% 0.25/0.55 % Current number of archived formulas : 0
% 0.25/0.55 % Current number of archived clauses : 0
% 0.25/0.55 % Clause-clause subsumption calls (NU) : 14
% 0.25/0.55 % Rec. Clause-clause subsumption calls : 14
% 0.25/0.55 % Non-unit clause-clause subsumptions : 2
% 0.25/0.55 % Unit Clause-clause subsumption calls : 12
% 0.25/0.55 % Rewrite failures with RHS unbound : 0
% 0.25/0.55 % BW rewrite match attempts : 5
% 0.25/0.55 % BW rewrite match successes : 0
% 0.25/0.55 % Condensation attempts : 0
% 0.25/0.55 % Condensation successes : 0
% 0.25/0.55 % Termbank termtop insertions : 2091
% 0.25/0.55 % Search garbage collected termcells : 518
% 0.25/0.55
% 0.25/0.55 % -------------------------------------------------
% 0.25/0.55 % User time : 0.010 s
% 0.25/0.55 % System time : 0.004 s
% 0.25/0.55 % Total time : 0.013 s
% 0.25/0.55 % Maximum resident set size: 3680 pages
% 0.25/0.55
% 0.25/0.55 % -------------------------------------------------
% 0.25/0.55 % User time : 0.012 s
% 0.25/0.55 % System time : 0.011 s
% 0.25/0.55 % Total time : 0.023 s
% 0.25/0.55 % Maximum resident set size: 4608 pages
% 0.25/0.55 % E exiting
%------------------------------------------------------------------------------