%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS181+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 01:01:06 PM UTC 2026
% Result : Theorem 0.21s 5.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 70 ( 25 ~; 29 |; 10 &)
% ( 3 <=>; 3 =>; 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; 3 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(nota,axiom,
! [X1,X2] :
( ? [X3,X4] :
( ~ status(X3,X4,X2)
& status(X3,X4,X1) )
<=> nota(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(isa,axiom,
! [X1,X2] :
( ! [X3,X4] :
( status(X3,X4,X1)
=> status(X3,X4,X2) )
<=> isa(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',isa) ).
fof(nota_isa_nota,conjecture,
! [X1,X2,X11] :
( ( nota(X1,X11)
& isa(X1,X2) )
=> nota(X2,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_isa_nota) ).
fof(c_0_3,plain,
! [X1,X2] :
( ? [X3,X4] :
( ~ status(X3,X4,X2)
& status(X3,X4,X1) )
<=> nota(X1,X2) ),
inference(fof_simplification,[status(thm)],[nota]) ).
fof(c_0_4,plain,
! [X15,X16,X17,X18,X19,X20] :
( ( ~ nota(X19,X20)
| ~ status(esk4_2(X19,X20),esk5_2(X19,X20),X20) )
& ( ~ nota(X19,X20)
| status(esk4_2(X19,X20),esk5_2(X19,X20),X19) )
& ( nota(X15,X16)
| status(X17,X18,X16)
| ~ status(X17,X18,X15) ) ),
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_3])])])])])])]) ).
fof(c_0_5,plain,
! [X23,X24,X27,X28,X29,X30] :
( ( status(X29,X30,X28)
| ~ status(X29,X30,X27)
| ~ isa(X27,X28) )
& ( isa(X23,X24)
| ~ status(esk6_2(X23,X24),esk7_2(X23,X24),X24) )
& ( isa(X23,X24)
| status(esk6_2(X23,X24),esk7_2(X23,X24),X23) ) ),
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])])])])])])]) ).
cnf(c_0_6,plain,
( ~ status(X1,X2,X3)
| nota(X3,X4)
| status(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( isa(X1,X2)
| status(esk6_2(X1,X2),esk7_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( ~ status(X3,X4,X1)
| ~ isa(X1,X2)
| status(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ nota(X1,X2)
| status(esk4_2(X1,X2),esk5_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( status(esk6_2(X1,X3),esk7_2(X1,X3),X2)
| isa(X1,X3)
| nota(X1,X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1,X2,X11] :
( ( nota(X1,X11)
& isa(X1,X2) )
=> nota(X2,X11) ),
inference(assume_negation,[status(cth)],[nota_isa_nota]) ).
cnf(c_0_12,plain,
( ~ nota(X1,X2)
| ~ status(esk4_2(X1,X2),esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
( ~ isa(X1,X3)
| ~ nota(X1,X2)
| status(esk4_2(X1,X2),esk5_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( ~ status(esk6_2(X1,X2),esk7_2(X1,X2),X2)
| isa(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( status(esk6_2(X1,X4),esk7_2(X1,X4),X3)
| isa(X1,X4)
| nota(X2,X3)
| nota(X1,X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
fof(c_0_16,negated_conjecture,
( ~ nota(esk2_0,esk3_0)
& nota(esk1_0,esk3_0)
& isa(esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
cnf(c_0_17,plain,
( ~ isa(X1,X2)
| ~ nota(X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( isa(X3,X2)
| nota(X3,X1)
| nota(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
isa(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( ~ nota(X1,X3)
| nota(X2,X3)
| nota(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
nota(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
~ nota(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( nota(esk1_0,X1)
| nota(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
~ nota(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS181+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.43 % Computer : n006.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Sun Sep 20 22:55:52 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.48 Running first-order theorem proving
% 0.16/5.48 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
% 0.21/5.50 % Version: 3.5.1
% 0.21/5.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/5.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/5.50 % Starting new_bool_3 with 300s (1) cores
% 0.21/5.50 % Starting new_bool_1 with 300s (1) cores
% 0.21/5.50 % Starting sh5l with 300s (1) cores
% 0.21/5.50 % new_bool_3 with pid 1438833 completed with status 0
% 0.21/5.50 % Result found by new_bool_3
% 0.21/5.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/5.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/5.50 % Starting new_bool_3 with 300s (1) cores
% 0.21/5.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/5.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/5.50 % Search class: FGHNF-FFSF22-SFFFFFNN
% 0.21/5.50 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/5.50 % Starting SubtermCWHack with 31s (1) cores
% 0.21/5.50 % SubtermCWHack with pid 1438836 completed with status 0
% 0.21/5.50 % Result found by SubtermCWHack
% 0.21/5.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/5.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/5.50 % Starting new_bool_3 with 300s (1) cores
% 0.21/5.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/5.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/5.50 % Search class: FGHNF-FFSF22-SFFFFFNN
% 0.21/5.50 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/5.50 % Starting SubtermCWHack with 31s (1) cores
% 0.21/5.50 % Preprocessing time : 0.001 s
% 0.21/5.50
% 0.21/5.50 % Proof found!
% 0.21/5.50 % SZS status Theorem
% 0.21/5.50 % SZS output start CNFRefutation
% See solution above
% 0.21/5.50 % Parsed axioms : 14
% 0.21/5.50 % Removed by relevancy pruning/SinE : 11
% 0.21/5.50 % Initial clauses : 9
% 0.21/5.50 % Removed in clause preprocessing : 0
% 0.21/5.50 % Initial clauses in saturation : 9
% 0.21/5.50 % Processed clauses : 26
% 0.21/5.50 % ...of these trivial : 0
% 0.21/5.50 % ...subsumed : 3
% 0.21/5.50 % ...remaining for further processing : 23
% 0.21/5.50 % Other redundant clauses eliminated : 0
% 0.21/5.50 % Clauses deleted for lack of memory : 0
% 0.21/5.50 % Backward-subsumed : 0
% 0.21/5.50 % Backward-rewritten : 0
% 0.21/5.50 % Generated clauses : 41
% 0.21/5.50 % ...of the previous two non-redundant : 35
% 0.21/5.50 % ...aggressively subsumed : 0
% 0.21/5.50 % Contextual simplify-reflections : 0
% 0.21/5.50 % Paramodulations : 41
% 0.21/5.50 % Factorizations : 0
% 0.21/5.50 % NegExts : 0
% 0.21/5.50 % Equation resolutions : 0
% 0.21/5.50 % Disequality decompositions : 0
% 0.21/5.50 % Total rewrite steps : 0
% 0.21/5.50 % ...of those cached : 0
% 0.21/5.50 % Propositional unsat checks : 0
% 0.21/5.50 % Propositional check models : 0
% 0.21/5.50 % Propositional check unsatisfiable : 0
% 0.21/5.50 % Propositional clauses : 0
% 0.21/5.50 % Propositional clauses after purity: 0
% 0.21/5.50 % Propositional unsat core size : 0
% 0.21/5.50 % Propositional preprocessing time : 0.000
% 0.21/5.50 % Propositional encoding time : 0.000
% 0.21/5.50 % Propositional solver time : 0.000
% 0.21/5.50 % Success case prop preproc time : 0.000
% 0.21/5.50 % Success case prop encoding time : 0.000
% 0.21/5.50 % Success case prop solver time : 0.000
% 0.21/5.50 % Current number of processed clauses : 23
% 0.21/5.50 % Positive orientable unit clauses : 3
% 0.21/5.50 % Positive unorientable unit clauses: 0
% 0.21/5.50 % Negative unit clauses : 3
% 0.21/5.50 % Non-unit-clauses : 17
% 0.21/5.50 % Current number of unprocessed clauses: 17
% 0.21/5.50 % ...number of literals in the above : 70
% 0.21/5.50 % Current number of archived formulas : 0
% 0.21/5.50 % Current number of archived clauses : 0
% 0.21/5.50 % Clause-clause subsumption calls (NU) : 50
% 0.21/5.50 % Rec. Clause-clause subsumption calls : 39
% 0.21/5.50 % Non-unit clause-clause subsumptions : 2
% 0.21/5.50 % Unit Clause-clause subsumption calls : 12
% 0.21/5.50 % Rewrite failures with RHS unbound : 0
% 0.21/5.50 % BW rewrite match attempts : 3
% 0.21/5.50 % BW rewrite match successes : 0
% 0.21/5.50 % Condensation attempts : 0
% 0.21/5.50 % Condensation successes : 0
% 0.21/5.50 % Termbank termtop insertions : 1199
% 0.21/5.50 % Search garbage collected termcells : 288
% 0.21/5.50
% 0.21/5.50 % -------------------------------------------------
% 0.21/5.50 % User time : 0.005 s
% 0.21/5.50 % System time : 0.001 s
% 0.21/5.50 % Total time : 0.006 s
% 0.21/5.50 % Maximum resident set size: 3652 pages
% 0.21/5.50
% 0.21/5.50 % -------------------------------------------------
% 0.21/5.50 % User time : 0.007 s
% 0.21/5.50 % System time : 0.005 s
% 0.21/5.50 % Total time : 0.012 s
% 0.21/5.50 % Maximum resident set size: 4864 pages
% 0.21/5.50 % E exiting
%------------------------------------------------------------------------------