%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS074+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:00:42 PM UTC 2026
% Result : Unsatisfiable 0.14s 6.07s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 61 ( 23 ~; 20 |; 14 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 1 sgn 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ! [X5] :
( rs(X4,X5)
=> ~ cp(X5) )
& ? [X5] :
( ? [X6] :
( cp(X6)
& rinvS(X5,X6) )
& cp(X5)
& rs(X4,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_9,axiom,
cUnsatisfiable(i2003_11_14_17_18_59896),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(c_0_2,plain,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ! [X5] :
( rs(X4,X5)
=> ~ cp(X5) )
& ? [X5] :
( ? [X6] :
( cp(X6)
& rinvS(X5,X6) )
& cp(X5)
& rs(X4,X5) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_3,plain,
! [X57,X60,X61,X62,X63] :
( ( cUnsatisfiable(X61)
| ~ cp(X63)
| ~ rinvS(X62,X63)
| ~ cp(X62)
| ~ rs(X61,X62)
| cp(esk3_1(X61)) )
& ( cUnsatisfiable(X61)
| ~ cp(X63)
| ~ rinvS(X62,X63)
| ~ cp(X62)
| ~ rs(X61,X62)
| rs(X61,esk3_1(X61)) )
& ( ~ cUnsatisfiable(X57)
| ~ cp(X60)
| ~ rs(X57,X60) )
& ( ~ cUnsatisfiable(X57)
| cp(esk2_1(X57)) )
& ( ~ cUnsatisfiable(X57)
| rinvS(esk1_1(X57),esk2_1(X57)) )
& ( ~ cUnsatisfiable(X57)
| cp(esk1_1(X57)) )
& ( ~ cUnsatisfiable(X57)
| rs(X57,esk1_1(X57)) ) ),
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_2])])])])])])]) ).
cnf(c_0_4,plain,
( ~ cUnsatisfiable(X1)
| ~ cp(X2)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,plain,
( ~ cUnsatisfiable(X1)
| rs(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( ~ cUnsatisfiable(X1)
| cp(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(split_conjunct,[status(thm)],[axiom_9]) ).
cnf(c_0_8,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).
cnf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[c_0_7,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS074+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/6.00 % Computer : n019.cluster.edu
% 0.10/6.00 % Model : x86_64 x86_64
% 0.10/6.00 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/6.00 % Memory : 8046.5625MB
% 0.10/6.00 % OS : Linux 6.8.0-71-generic
% 0.10/6.00 % CPULimit : 300
% 0.10/6.00 % WCLimit : 300
% 0.10/6.00 % DateTime : Sun Sep 20 22:53:12 UTC 2026
% 0.10/6.00 % CPUTime :
% 0.10/6.00 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/6.05 Running first-order theorem proving
% 0.14/6.05 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
% 0.14/6.07 % Version: 3.5.1
% 0.14/6.07 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/6.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/6.07 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/6.07 % Starting new_bool_3 with 300s (1) cores
% 0.14/6.07 % Starting new_bool_1 with 300s (1) cores
% 0.14/6.07 % Starting sh5l with 300s (1) cores
% 0.14/6.07 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1092484 completed with status 0
% 0.14/6.07 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/6.07 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/6.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/6.07 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/6.07 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/6.07 % No SInE strategy applied
% 0.14/6.07 % Search class: FGHSF-FFSF11-SFFFFFNN
% 0.14/6.07 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/6.07 % Starting SubtermCWHack with 136s (1) cores
% 0.14/6.07 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/6.07 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 0.14/6.07 % Starting new_bool_3 with 136s (1) cores
% 0.14/6.07 % Starting new_bool_1 with 136s (1) cores
% 0.14/6.07 % SubtermCWHack with pid 1092497 completed with status 0
% 0.14/6.07 % Result found by SubtermCWHack
% 0.14/6.07 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/6.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/6.07 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/6.07 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/6.07 % No SInE strategy applied
% 0.14/6.07 % Search class: FGHSF-FFSF11-SFFFFFNN
% 0.14/6.07 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/6.07 % Starting SubtermCWHack with 136s (1) cores
% 0.14/6.07 % Preprocessing time : 0.001 s
% 0.14/6.07
% 0.14/6.07 % Proof found!
% 0.14/6.07 % SZS status Unsatisfiable
% 0.14/6.07 % SZS output start CNFRefutation
% See solution above
% 0.14/6.07 % Parsed axioms : 30
% 0.14/6.07 % Removed by relevancy pruning/SinE : 0
% 0.14/6.07 % Initial clauses : 41
% 0.14/6.07 % Removed in clause preprocessing : 19
% 0.14/6.07 % Initial clauses in saturation : 22
% 0.14/6.07 % Processed clauses : 18
% 0.14/6.07 % ...of these trivial : 0
% 0.14/6.07 % ...subsumed : 0
% 0.14/6.07 % ...remaining for further processing : 18
% 0.14/6.07 % Other redundant clauses eliminated : 0
% 0.14/6.07 % Clauses deleted for lack of memory : 0
% 0.14/6.07 % Backward-subsumed : 5
% 0.14/6.07 % Backward-rewritten : 0
% 0.14/6.07 % Generated clauses : 7
% 0.14/6.07 % ...of the previous two non-redundant : 2
% 0.14/6.07 % ...aggressively subsumed : 0
% 0.14/6.07 % Contextual simplify-reflections : 1
% 0.14/6.07 % Paramodulations : 6
% 0.14/6.07 % Factorizations : 0
% 0.14/6.07 % NegExts : 0
% 0.14/6.07 % Equation resolutions : 0
% 0.14/6.07 % Disequality decompositions : 0
% 0.14/6.07 % Total rewrite steps : 0
% 0.14/6.07 % ...of those cached : 0
% 0.14/6.07 % Propositional unsat checks : 0
% 0.14/6.07 % Propositional check models : 0
% 0.14/6.07 % Propositional check unsatisfiable : 0
% 0.14/6.07 % Propositional clauses : 0
% 0.14/6.07 % Propositional clauses after purity: 0
% 0.14/6.07 % Propositional unsat core size : 0
% 0.14/6.07 % Propositional preprocessing time : 0.000
% 0.14/6.07 % Propositional encoding time : 0.000
% 0.14/6.07 % Propositional solver time : 0.000
% 0.14/6.07 % Success case prop preproc time : 0.000
% 0.14/6.07 % Success case prop encoding time : 0.000
% 0.14/6.07 % Success case prop solver time : 0.000
% 0.14/6.07 % Current number of processed clauses : 12
% 0.14/6.07 % Positive orientable unit clauses : 0
% 0.14/6.07 % Positive unorientable unit clauses: 0
% 0.14/6.07 % Negative unit clauses : 2
% 0.14/6.07 % Non-unit-clauses : 10
% 0.14/6.07 % Current number of unprocessed clauses: 6
% 0.14/6.07 % ...number of literals in the above : 23
% 0.14/6.07 % Current number of archived formulas : 0
% 0.14/6.07 % Current number of archived clauses : 7
% 0.14/6.07 % Clause-clause subsumption calls (NU) : 55
% 0.14/6.07 % Rec. Clause-clause subsumption calls : 54
% 0.14/6.07 % Non-unit clause-clause subsumptions : 1
% 0.14/6.07 % Unit Clause-clause subsumption calls : 5
% 0.14/6.07 % Rewrite failures with RHS unbound : 0
% 0.14/6.07 % BW rewrite match attempts : 0
% 0.14/6.07 % BW rewrite match successes : 0
% 0.14/6.07 % Condensation attempts : 0
% 0.14/6.07 % Condensation successes : 0
% 0.14/6.07 % Termbank termtop insertions : 2770
% 0.14/6.07 % Search garbage collected termcells : 636
% 0.14/6.07
% 0.14/6.07 % -------------------------------------------------
% 0.14/6.07 % User time : 0.004 s
% 0.14/6.07 % System time : 0.005 s
% 0.14/6.07 % Total time : 0.009 s
% 0.14/6.07 % Maximum resident set size: 3624 pages
% 0.14/6.07
% 0.14/6.07 % -------------------------------------------------
% 0.14/6.07 % User time : 0.014 s
% 0.14/6.07 % System time : 0.012 s
% 0.14/6.07 % Total time : 0.025 s
% 0.14/6.07 % Maximum resident set size: 4608 pages
% 0.14/6.07 % E exiting
%------------------------------------------------------------------------------