%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : KRS076+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 : n009.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 01:01:27 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 4 unt; 0 def)
% Number of atoms : 130 ( 15 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 159 ( 66 ~; 64 |; 20 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 78 ( 1 sgn 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( ! [X6] :
( rinvF1(X5,X6)
=> ? [X7] :
( cowlThing(X7)
& rs(X6,X7) ) )
& ~ cp(X5)
& rf1(X4,X5) )
& ? [X5] :
( cp(X5)
& rf(X4,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_4,axiom,
! [X4,X5,X6] :
( ( rf1(X4,X6)
& rf1(X4,X5) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_10,axiom,
! [X4,X5] :
( rs(X4,X5)
=> rf1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_3,axiom,
! [X4,X5,X6] :
( ( rf(X4,X6)
& rf(X4,X5) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_11,axiom,
! [X4,X5] :
( rs(X4,X5)
=> rf(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(axiom_6,axiom,
! [X4,X5] :
( rinvF1(X4,X5)
<=> rf1(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_9,axiom,
cUnsatisfiable(i2003_11_14_17_19_06193),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(c_0_7,plain,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( ! [X6] :
( rinvF1(X5,X6)
=> ? [X7] :
( cowlThing(X7)
& rs(X6,X7) ) )
& ~ cp(X5)
& rf1(X4,X5) )
& ? [X5] :
( cp(X5)
& rf(X4,X5) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_8,plain,
! [X71,X72,X73] :
( X72 = X73
| ~ rf1(X71,X73)
| ~ rf1(X71,X72) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).
fof(c_0_9,plain,
! [X58,X61,X63,X64,X65,X67] :
( ( cUnsatisfiable(X63)
| ~ cp(X64)
| ~ rf(X63,X64)
| cp(X65)
| ~ rf1(X63,X65)
| ~ cowlThing(X67)
| ~ rs(esk4_2(X63,X65),X67) )
& ( cUnsatisfiable(X63)
| ~ cp(X64)
| ~ rf(X63,X64)
| cp(X65)
| ~ rf1(X63,X65)
| rinvF1(X65,esk4_2(X63,X65)) )
& ( ~ cUnsatisfiable(X58)
| ~ rinvF1(esk2_1(X58),X61)
| cowlThing(esk3_2(X58,X61)) )
& ( ~ cUnsatisfiable(X58)
| ~ rinvF1(esk2_1(X58),X61)
| rs(X61,esk3_2(X58,X61)) )
& ( ~ cUnsatisfiable(X58)
| ~ cp(esk2_1(X58)) )
& ( ~ cUnsatisfiable(X58)
| rf1(X58,esk2_1(X58)) )
& ( ~ cUnsatisfiable(X58)
| cp(esk1_1(X58)) )
& ( ~ cUnsatisfiable(X58)
| rf(X58,esk1_1(X58)) ) ),
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_7])])])])])])]) ).
cnf(c_0_10,plain,
( ~ rf1(X1,X3)
| ~ rf1(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( ~ cUnsatisfiable(X1)
| rf1(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X83,X84] :
( rf1(X83,X84)
| ~ rs(X83,X84) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])]) ).
fof(c_0_13,plain,
! [X68,X69,X70] :
( X69 = X70
| ~ rf(X68,X70)
| ~ rf(X68,X69) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
fof(c_0_14,plain,
! [X85,X86] :
( rf(X85,X86)
| ~ rs(X85,X86) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])])]) ).
cnf(c_0_15,plain,
( ~ cUnsatisfiable(X2)
| ~ rf1(X2,X1)
| X1 = esk2_1(X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( ~ rs(X1,X2)
| rf1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( ~ rf(X1,X3)
| ~ rf(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( ~ cUnsatisfiable(X1)
| rf(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
( ~ rs(X1,X2)
| rf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( ~ cUnsatisfiable(X2)
| ~ rinvF1(esk2_1(X2),X1)
| rs(X1,esk3_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_21,plain,
( ~ cUnsatisfiable(X2)
| ~ rs(X2,X1)
| X1 = esk2_1(X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_22,plain,
! [X76,X77] :
( ( rinvF1(X76,X77)
| ~ rf1(X77,X76) )
& ( rf1(X77,X76)
| ~ rinvF1(X76,X77) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).
cnf(c_0_23,plain,
( ~ cUnsatisfiable(X2)
| ~ rf(X2,X1)
| X1 = esk1_1(X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( ~ cUnsatisfiable(X2)
| ~ rinvF1(esk2_1(X2),X1)
| rf(X1,esk3_2(X2,X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( ~ cUnsatisfiable(X1)
| ~ cUnsatisfiable(X2)
| ~ rinvF1(esk2_1(X1),X2)
| esk3_2(X1,X2) = esk2_1(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_26,plain,
( ~ rf1(X1,X2)
| rinvF1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( ~ cUnsatisfiable(X1)
| ~ cUnsatisfiable(X2)
| ~ rinvF1(esk2_1(X1),X2)
| esk3_2(X1,X2) = esk1_1(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( ~ cUnsatisfiable(X1)
| ~ cUnsatisfiable(X2)
| ~ rf1(X2,esk2_1(X1))
| esk3_2(X1,X2) = esk2_1(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,plain,
( ~ cUnsatisfiable(X1)
| ~ cUnsatisfiable(X2)
| ~ rf1(X2,esk2_1(X1))
| esk3_2(X1,X2) = esk1_1(X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_30,plain,
( ~ cUnsatisfiable(X2)
| ~ cUnsatisfiable(X1)
| ~ rf1(X1,esk2_1(X2))
| esk1_1(X1) = esk2_1(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,plain,
( ~ cUnsatisfiable(X1)
| cp(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_32,plain,
( ~ cUnsatisfiable(X1)
| esk1_1(X1) = esk2_1(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_11]) ).
cnf(c_0_33,plain,
( ~ cUnsatisfiable(X1)
| ~ cp(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_34,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(split_conjunct,[status(thm)],[axiom_9]) ).
cnf(c_0_35,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_36,plain,
$false,
inference(sr,[status(thm)],[c_0_34,c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS076+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:52:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.43 % Version: 3.5.1
% 0.14/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.43 % Starting sh5l with 300s (1) cores
% 0.14/0.43 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 226461 completed with status 0
% 0.14/0.43 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.43 % No SInE strategy applied
% 0.14/0.43 % Search class: FGHSF-FFSF21-SFFFFFNN
% 0.14/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.43 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.43 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.43 % SubtermCWHack with pid 226477 completed with status 0
% 0.14/0.43 % Result found by SubtermCWHack
% 0.14/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.43 % No SInE strategy applied
% 0.14/0.43 % Search class: FGHSF-FFSF21-SFFFFFNN
% 0.14/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.43 % Preprocessing time : 0.001 s
% 0.14/0.43
% 0.14/0.43 % Proof found!
% 0.14/0.43 % SZS status Unsatisfiable
% 0.14/0.43 % SZS output start CNFRefutation
% See solution above
% 0.14/0.43 % Parsed axioms : 30
% 0.14/0.43 % Removed by relevancy pruning/SinE : 0
% 0.14/0.43 % Initial clauses : 42
% 0.14/0.43 % Removed in clause preprocessing : 20
% 0.14/0.43 % Initial clauses in saturation : 22
% 0.14/0.43 % Processed clauses : 39
% 0.14/0.43 % ...of these trivial : 0
% 0.14/0.43 % ...subsumed : 0
% 0.14/0.43 % ...remaining for further processing : 39
% 0.14/0.43 % Other redundant clauses eliminated : 0
% 0.14/0.43 % Clauses deleted for lack of memory : 0
% 0.14/0.43 % Backward-subsumed : 21
% 0.14/0.43 % Backward-rewritten : 0
% 0.14/0.43 % Generated clauses : 36
% 0.14/0.43 % ...of the previous two non-redundant : 30
% 0.14/0.43 % ...aggressively subsumed : 0
% 0.14/0.43 % Contextual simplify-reflections : 1
% 0.14/0.43 % Paramodulations : 35
% 0.14/0.43 % Factorizations : 0
% 0.14/0.43 % NegExts : 0
% 0.14/0.43 % Equation resolutions : 0
% 0.14/0.43 % Disequality decompositions : 0
% 0.14/0.43 % Total rewrite steps : 0
% 0.14/0.43 % ...of those cached : 0
% 0.14/0.43 % Propositional unsat checks : 0
% 0.14/0.43 % Propositional check models : 0
% 0.14/0.43 % Propositional check unsatisfiable : 0
% 0.14/0.43 % Propositional clauses : 0
% 0.14/0.43 % Propositional clauses after purity: 0
% 0.14/0.43 % Propositional unsat core size : 0
% 0.14/0.43 % Propositional preprocessing time : 0.000
% 0.14/0.43 % Propositional encoding time : 0.000
% 0.14/0.43 % Propositional solver time : 0.000
% 0.14/0.43 % Success case prop preproc time : 0.000
% 0.14/0.43 % Success case prop encoding time : 0.000
% 0.14/0.43 % Success case prop solver time : 0.000
% 0.14/0.43 % Current number of processed clauses : 17
% 0.14/0.43 % Positive orientable unit clauses : 0
% 0.14/0.43 % Positive unorientable unit clauses: 0
% 0.14/0.43 % Negative unit clauses : 2
% 0.14/0.43 % Non-unit-clauses : 15
% 0.14/0.43 % Current number of unprocessed clauses: 13
% 0.14/0.43 % ...number of literals in the above : 61
% 0.14/0.43 % Current number of archived formulas : 0
% 0.14/0.43 % Current number of archived clauses : 23
% 0.14/0.43 % Clause-clause subsumption calls (NU) : 248
% 0.14/0.43 % Rec. Clause-clause subsumption calls : 167
% 0.14/0.43 % Non-unit clause-clause subsumptions : 2
% 0.14/0.43 % Unit Clause-clause subsumption calls : 20
% 0.14/0.43 % Rewrite failures with RHS unbound : 0
% 0.14/0.43 % BW rewrite match attempts : 0
% 0.14/0.43 % BW rewrite match successes : 0
% 0.14/0.43 % Condensation attempts : 0
% 0.14/0.43 % Condensation successes : 0
% 0.14/0.43 % Termbank termtop insertions : 3415
% 0.14/0.43 % Search garbage collected termcells : 685
% 0.14/0.43
% 0.14/0.43 % -------------------------------------------------
% 0.14/0.43 % User time : 0.008 s
% 0.14/0.43 % System time : 0.003 s
% 0.14/0.43 % Total time : 0.010 s
% 0.14/0.43 % Maximum resident set size: 3612 pages
% 0.14/0.43
% 0.14/0.43 % -------------------------------------------------
% 0.14/0.43 % User time : 0.018 s
% 0.14/0.43 % System time : 0.011 s
% 0.14/0.43 % Total time : 0.029 s
% 0.14/0.43 % Maximum resident set size: 4608 pages
% 0.14/0.43 % E exiting
%------------------------------------------------------------------------------