%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS264+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 : n005.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 01:01:14 PM UTC 2026
% Result : Theorem 0.45s 0.68s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 13 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 155 ( 56 ~; 59 |; 31 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 90 ( 18 sgn 33 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mixed_pair,axiom,
? [X1,X2] :
( ? [X6] : ~ model(X6,X2)
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) )
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X3] : model(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',mixed_pair) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(mighta_wth_thm,conjecture,
mighta(wth,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wth_thm) ).
fof(wth,axiom,
! [X1,X2] :
( ( ? [X6] : ~ model(X6,X2)
& ? [X5] :
( ~ model(X5,X1)
& model(X5,X2) )
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X3] : model(X3,X1) )
<=> status(X1,X2,wth) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',wth) ).
fof(mighta,axiom,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X8)
& status(X1,X2,X7) )
<=> mighta(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',mighta) ).
fof(c_0_5,plain,
? [X1,X2] :
( ? [X6] : ~ model(X6,X2)
& ? [X5] :
( model(X5,X2)
& ~ model(X5,X1) )
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X3] : model(X3,X1) ),
inference(fof_simplification,[status(thm)],[mixed_pair]) ).
fof(c_0_6,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_7,plain,
! [X51] :
( ~ model(esk21_0,esk18_0)
& model(esk20_0,esk18_0)
& ~ model(esk20_0,esk17_0)
& ( model(X51,esk18_0)
| ~ model(X51,esk17_0) )
& model(esk19_0,esk17_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_8,negated_conjecture,
~ mighta(wth,thm),
inference(assume_negation,[status(cth)],[mighta_wth_thm]) ).
cnf(c_0_9,plain,
( ~ model(esk3_2(X1,X2),X2)
| status(X1,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ model(X1,esk17_0)
| model(X1,esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X1,X2] :
( ( ? [X6] : ~ model(X6,X2)
& ? [X5] :
( ~ model(X5,X1)
& model(X5,X2) )
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X3] : model(X3,X1) )
<=> status(X1,X2,wth) ),
inference(fof_simplification,[status(thm)],[wth]) ).
fof(c_0_12,negated_conjecture,
~ mighta(wth,thm),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_13,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_14,plain,
( ~ model(esk3_2(X1,esk18_0),esk17_0)
| status(X1,esk18_0,thm) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( status(X1,X2,thm)
| model(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_16,plain,
! [X25,X26,X27,X29,X30,X31,X32,X34] :
( ( ~ status(X31,X32,wth)
| ~ model(esk7_2(X31,X32),X32) )
& ( ~ status(X31,X32,wth)
| ~ model(esk6_2(X31,X32),X31) )
& ( ~ status(X31,X32,wth)
| model(esk6_2(X31,X32),X32) )
& ( ~ status(X31,X32,wth)
| model(X34,X32)
| ~ model(X34,X31) )
& ( ~ status(X31,X32,wth)
| model(esk5_2(X31,X32),X31) )
& ( status(X25,X26,wth)
| model(X30,X26)
| model(X29,X25)
| ~ model(X29,X26)
| ~ model(X27,X25)
| ~ model(esk4_2(X25,X26),X26) )
& ( status(X25,X26,wth)
| model(X30,X26)
| 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_11])])])])])])]) ).
fof(c_0_17,negated_conjecture,
~ mighta(wth,thm),
inference(fof_nnf,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( ~ status(X1,X2,X4)
| ~ status(X1,X2,X3)
| mighta(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
status(esk17_0,esk18_0,thm),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( ~ model(X4,X2)
| ~ model(X3,X1)
| status(X1,X2,wth)
| model(X5,X2)
| model(X4,X1)
| model(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
model(esk20_0,esk18_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
~ mighta(wth,thm),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( ~ status(esk17_0,esk18_0,X1)
| mighta(X1,thm) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( ~ model(X4,X2)
| ~ model(X3,X1)
| ~ model(esk4_2(X1,X2),X2)
| status(X1,X2,wth)
| model(X5,X2)
| model(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( ~ model(X3,X1)
| model(esk20_0,X1)
| model(X2,esk18_0)
| model(esk4_2(X1,esk18_0),X1)
| status(X1,esk18_0,wth) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
model(esk19_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
~ status(esk17_0,esk18_0,wth),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
~ model(esk20_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,plain,
( ~ model(X4,X1)
| ~ model(X3,esk18_0)
| ~ model(esk4_2(X1,esk18_0),esk17_0)
| model(X3,X1)
| model(X2,esk18_0)
| status(X1,esk18_0,wth) ),
inference(spm,[status(thm)],[c_0_24,c_0_10]) ).
cnf(c_0_30,plain,
( model(X1,esk18_0)
| model(esk4_2(esk17_0,esk18_0),esk17_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_31,plain,
( ~ model(X4,esk17_0)
| ~ model(X2,esk18_0)
| model(X3,esk18_0)
| model(X2,esk17_0)
| model(X1,esk18_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_27]) ).
cnf(c_0_32,plain,
( ~ model(X3,esk17_0)
| model(X2,esk18_0)
| model(X1,esk18_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_28]) ).
cnf(c_0_33,plain,
( model(X2,esk18_0)
| model(X1,esk18_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_26]) ).
cnf(c_0_34,plain,
~ model(esk21_0,esk18_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_35,plain,
model(X1,esk18_0),
inference(ef,[status(thm)],[c_0_33]) ).
cnf(c_0_36,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS264+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.45 % Computer : n005.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sun Sep 20 23:00:18 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 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
% 0.45/0.68 % Version: 3.5.1
% 0.45/0.68 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.45/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.45/0.68 % Starting new_bool_3 with 300s (1) cores
% 0.45/0.68 % Starting new_bool_1 with 300s (1) cores
% 0.45/0.68 % Starting sh5l with 300s (1) cores
% 0.45/0.68 % new_bool_1 with pid 1950810 completed with status 0
% 0.45/0.68 % Result found by new_bool_1
% 0.45/0.68 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.45/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.45/0.68 % Starting new_bool_3 with 300s (1) cores
% 0.45/0.68 % Starting new_bool_1 with 300s (1) cores
% 0.45/0.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.45/0.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.45/0.68 % Search class: FGHNF-FFMM22-SFFFFFNN
% 0.45/0.68 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.45/0.68 % Starting SubtermCWHack with 31s (1) cores
% 0.45/0.68 % SubtermCWHack with pid 1950814 completed with status 0
% 0.45/0.68 % Result found by SubtermCWHack
% 0.45/0.68 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.45/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.45/0.68 % Starting new_bool_3 with 300s (1) cores
% 0.45/0.68 % Starting new_bool_1 with 300s (1) cores
% 0.45/0.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.45/0.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.45/0.68 % Search class: FGHNF-FFMM22-SFFFFFNN
% 0.45/0.68 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.45/0.68 % Starting SubtermCWHack with 31s (1) cores
% 0.45/0.68 % Preprocessing time : 0.002 s
% 0.45/0.68
% 0.45/0.68 % Proof found!
% 0.45/0.68 % SZS status Theorem
% 0.45/0.68 % SZS output start CNFRefutation
% See solution above
% 0.45/0.68 % Parsed axioms : 33
% 0.45/0.68 % Removed by relevancy pruning/SinE : 23
% 0.45/0.68 % Initial clauses : 29
% 0.45/0.68 % Removed in clause preprocessing : 0
% 0.45/0.68 % Initial clauses in saturation : 29
% 0.45/0.68 % Processed clauses : 269
% 0.45/0.68 % ...of these trivial : 2
% 0.45/0.68 % ...subsumed : 25
% 0.45/0.68 % ...remaining for further processing : 242
% 0.45/0.68 % Other redundant clauses eliminated : 0
% 0.45/0.68 % Clauses deleted for lack of memory : 0
% 0.45/0.68 % Backward-subsumed : 42
% 0.45/0.68 % Backward-rewritten : 5
% 0.45/0.68 % Generated clauses : 1971
% 0.45/0.68 % ...of the previous two non-redundant : 1745
% 0.45/0.68 % ...aggressively subsumed : 0
% 0.45/0.68 % Contextual simplify-reflections : 0
% 0.45/0.68 % Paramodulations : 1969
% 0.45/0.68 % Factorizations : 2
% 0.45/0.68 % NegExts : 0
% 0.45/0.68 % Equation resolutions : 0
% 0.45/0.68 % Disequality decompositions : 0
% 0.45/0.68 % Total rewrite steps : 228
% 0.45/0.68 % ...of those cached : 195
% 0.45/0.68 % Propositional unsat checks : 0
% 0.45/0.68 % Propositional check models : 0
% 0.45/0.68 % Propositional check unsatisfiable : 0
% 0.45/0.68 % Propositional clauses : 0
% 0.45/0.68 % Propositional clauses after purity: 0
% 0.45/0.68 % Propositional unsat core size : 0
% 0.45/0.68 % Propositional preprocessing time : 0.000
% 0.45/0.68 % Propositional encoding time : 0.000
% 0.45/0.68 % Propositional solver time : 0.000
% 0.45/0.68 % Success case prop preproc time : 0.000
% 0.45/0.68 % Success case prop encoding time : 0.000
% 0.45/0.68 % Success case prop solver time : 0.000
% 0.45/0.68 % Current number of processed clauses : 195
% 0.45/0.68 % Positive orientable unit clauses : 13
% 0.45/0.68 % Positive unorientable unit clauses: 0
% 0.45/0.68 % Negative unit clauses : 14
% 0.45/0.68 % Non-unit-clauses : 168
% 0.45/0.68 % Current number of unprocessed clauses: 1485
% 0.45/0.68 % ...number of literals in the above : 10005
% 0.45/0.68 % Current number of archived formulas : 0
% 0.45/0.68 % Current number of archived clauses : 47
% 0.45/0.68 % Clause-clause subsumption calls (NU) : 6389
% 0.45/0.68 % Rec. Clause-clause subsumption calls : 2538
% 0.45/0.68 % Non-unit clause-clause subsumptions : 44
% 0.45/0.68 % Unit Clause-clause subsumption calls : 100
% 0.45/0.68 % Rewrite failures with RHS unbound : 0
% 0.45/0.68 % BW rewrite match attempts : 9
% 0.45/0.68 % BW rewrite match successes : 5
% 0.45/0.68 % Condensation attempts : 0
% 0.45/0.68 % Condensation successes : 0
% 0.45/0.68 % Termbank termtop insertions : 41270
% 0.45/0.68 % Search garbage collected termcells : 606
% 0.45/0.68
% 0.45/0.68 % -------------------------------------------------
% 0.45/0.68 % User time : 0.085 s
% 0.45/0.68 % System time : 0.006 s
% 0.45/0.68 % Total time : 0.091 s
% 0.45/0.68 % Maximum resident set size: 3680 pages
% 0.45/0.68
% 0.45/0.68 % -------------------------------------------------
% 0.45/0.68 % User time : 0.088 s
% 0.45/0.68 % System time : 0.013 s
% 0.45/0.68 % Total time : 0.101 s
% 0.45/0.68 % Maximum resident set size: 4864 pages
% 0.45/0.68 % E exiting
%------------------------------------------------------------------------------