%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS260+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 : 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 01:01:13 PM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 97 ( 36 ~; 32 |; 22 &)
% ( 4 <=>; 3 =>; 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; 7 con; 0-2 aty)
% Number of variables : 65 ( 8 sgn 31 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(wec,axiom,
! [X1,X2] :
( ( ? [X5] :
( ~ model(X5,X1)
& model(X5,X2) )
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X3] : model(X3,X1) )
<=> status(X1,X2,wec) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',wec) ).
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(tautology,axiom,
? [X10] :
! [X9] : model(X9,X10),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
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(mighta_wec_thm,conjecture,
mighta(wec,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_wec_thm) ).
fof(mighta,axiom,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X8)
& status(X1,X2,X7) )
<=> mighta(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mighta) ).
fof(c_0_6,plain,
! [X1,X2] :
( ( ? [X5] :
( ~ model(X5,X1)
& model(X5,X2) )
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X3] : model(X3,X1) )
<=> status(X1,X2,wec) ),
inference(fof_simplification,[status(thm)],[wec]) ).
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])])])])])])]) ).
fof(c_0_8,plain,
! [X36] : model(X36,esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).
fof(c_0_9,plain,
! [X25,X26,X27,X29,X30,X31,X33] :
( ( ~ status(X30,X31,wec)
| ~ model(esk6_2(X30,X31),X30) )
& ( ~ status(X30,X31,wec)
| model(esk6_2(X30,X31),X31) )
& ( ~ status(X30,X31,wec)
| model(X33,X31)
| ~ model(X33,X30) )
& ( ~ status(X30,X31,wec)
| model(esk5_2(X30,X31),X30) )
& ( status(X25,X26,wec)
| model(X29,X25)
| ~ model(X29,X26)
| ~ model(X27,X25)
| ~ model(esk4_2(X25,X26),X26) )
& ( status(X25,X26,wec)
| model(X29,X25)
| ~ model(X29,X26)
| ~ model(X27,X25)
| 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)],[c_0_6])])])])])])]) ).
fof(c_0_10,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_11,negated_conjecture,
~ mighta(wec,thm),
inference(assume_negation,[status(cth)],[mighta_wec_thm]) ).
fof(c_0_12,plain,
! [X11,X12,X13,X14,X15,X16] :
( ( ~ mighta(X15,X16)
| status(esk1_2(X15,X16),esk2_2(X15,X16),X16) )
& ( ~ mighta(X15,X16)
| status(esk1_2(X15,X16),esk2_2(X15,X16),X15) )
& ( mighta(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)],[mighta])])])])])])]) ).
cnf(c_0_13,plain,
( ~ model(esk3_2(X1,X2),X2)
| status(X1,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
model(X1,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( ~ model(X4,X2)
| ~ model(X3,X1)
| ~ model(esk4_2(X1,X2),X2)
| status(X1,X2,wec)
| model(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_16,plain,
( model(esk24_0,esk23_0)
& ~ model(esk21_0,esk23_0)
& model(esk21_0,esk22_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_10])])]) ).
fof(c_0_17,negated_conjecture,
~ mighta(wec,thm),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( ~ status(X1,X2,X4)
| ~ status(X1,X2,X3)
| mighta(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
status(X1,esk7_0,thm),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( ~ model(X3,X1)
| model(X2,X1)
| status(X1,esk7_0,wec) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_14]),c_0_14])]) ).
cnf(c_0_21,plain,
model(esk24_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,negated_conjecture,
~ mighta(wec,thm),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( ~ status(X2,esk7_0,X1)
| mighta(X1,thm) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( model(X1,esk23_0)
| status(esk23_0,esk7_0,wec) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
~ mighta(wec,thm),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
~ model(esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
model(X1,esk23_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS260+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 23:00:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.44 % Version: 3.5.1
% 0.11/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44 % Starting sh5l with 300s (1) cores
% 0.11/0.44 % new_bool_1 with pid 3699462 completed with status 0
% 0.11/0.44 % Result found by new_bool_1
% 0.11/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.44 % Search class: FGHNF-FFSM22-SFFFFFNN
% 0.11/0.44 % partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.11/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.44 % SubtermCWHack with pid 3699464 completed with status 0
% 0.11/0.44 % Result found by SubtermCWHack
% 0.11/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.44 % Search class: FGHNF-FFSM22-SFFFFFNN
% 0.11/0.44 % partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.11/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.44 % Preprocessing time : 0.001 s
% 0.11/0.44
% 0.11/0.44 % Proof found!
% 0.11/0.44 % SZS status Theorem
% 0.11/0.44 % SZS output start CNFRefutation
% See solution above
% 0.11/0.44 % Parsed axioms : 33
% 0.11/0.44 % Removed by relevancy pruning/SinE : 23
% 0.11/0.44 % Initial clauses : 28
% 0.11/0.44 % Removed in clause preprocessing : 0
% 0.11/0.44 % Initial clauses in saturation : 28
% 0.11/0.44 % Processed clauses : 65
% 0.11/0.44 % ...of these trivial : 2
% 0.11/0.44 % ...subsumed : 5
% 0.11/0.44 % ...remaining for further processing : 58
% 0.11/0.44 % Other redundant clauses eliminated : 0
% 0.11/0.44 % Clauses deleted for lack of memory : 0
% 0.11/0.44 % Backward-subsumed : 1
% 0.11/0.44 % Backward-rewritten : 2
% 0.11/0.44 % Generated clauses : 105
% 0.11/0.44 % ...of the previous two non-redundant : 87
% 0.11/0.44 % ...aggressively subsumed : 0
% 0.11/0.44 % Contextual simplify-reflections : 0
% 0.11/0.44 % Paramodulations : 105
% 0.11/0.44 % Factorizations : 0
% 0.11/0.44 % NegExts : 0
% 0.11/0.44 % Equation resolutions : 0
% 0.11/0.44 % Disequality decompositions : 0
% 0.11/0.44 % Total rewrite steps : 16
% 0.11/0.44 % ...of those cached : 10
% 0.11/0.44 % Propositional unsat checks : 0
% 0.11/0.44 % Propositional check models : 0
% 0.11/0.44 % Propositional check unsatisfiable : 0
% 0.11/0.44 % Propositional clauses : 0
% 0.11/0.44 % Propositional clauses after purity: 0
% 0.11/0.44 % Propositional unsat core size : 0
% 0.11/0.44 % Propositional preprocessing time : 0.000
% 0.11/0.44 % Propositional encoding time : 0.000
% 0.11/0.44 % Propositional solver time : 0.000
% 0.11/0.44 % Success case prop preproc time : 0.000
% 0.11/0.44 % Success case prop encoding time : 0.000
% 0.11/0.44 % Success case prop solver time : 0.000
% 0.11/0.44 % Current number of processed clauses : 55
% 0.11/0.44 % Positive orientable unit clauses : 13
% 0.11/0.44 % Positive unorientable unit clauses: 0
% 0.11/0.44 % Negative unit clauses : 12
% 0.11/0.44 % Non-unit-clauses : 30
% 0.11/0.44 % Current number of unprocessed clauses: 50
% 0.11/0.44 % ...number of literals in the above : 191
% 0.11/0.44 % Current number of archived formulas : 0
% 0.11/0.44 % Current number of archived clauses : 3
% 0.11/0.44 % Clause-clause subsumption calls (NU) : 101
% 0.11/0.44 % Rec. Clause-clause subsumption calls : 78
% 0.11/0.44 % Non-unit clause-clause subsumptions : 4
% 0.11/0.44 % Unit Clause-clause subsumption calls : 47
% 0.11/0.44 % Rewrite failures with RHS unbound : 0
% 0.11/0.44 % BW rewrite match attempts : 7
% 0.11/0.44 % BW rewrite match successes : 3
% 0.11/0.44 % Condensation attempts : 0
% 0.11/0.44 % Condensation successes : 0
% 0.11/0.44 % Termbank termtop insertions : 3218
% 0.11/0.44 % Search garbage collected termcells : 579
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.006 s
% 0.11/0.44 % System time : 0.003 s
% 0.11/0.44 % Total time : 0.009 s
% 0.11/0.44 % Maximum resident set size: 3884 pages
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.007 s
% 0.11/0.44 % System time : 0.008 s
% 0.11/0.44 % Total time : 0.016 s
% 0.11/0.44 % Maximum resident set size: 4864 pages
% 0.11/0.44 % E exiting
%------------------------------------------------------------------------------