%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS126+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 : n012.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 01:00:49 PM UTC 2026
% Result : Unsatisfiable 0.03s 10.36s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 15 ~; 11 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 21 ( 2 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,axiom,
! [X1] :
( cd1xcomp(X1)
<=> ~ ? [X2] : ra_Px2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_7,axiom,
! [X1] :
( cd1(X1)
<=> ? [X3] : ra_Px2(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_3,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> cd1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_2,axiom,
! [X1] :
( cUnsatisfiable(X1)
=> cd1xcomp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_22_23554),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(c_0_5,plain,
! [X21,X22,X23] :
( ( cd1xcomp(X23)
| ra_Px2(X23,esk4_1(X23)) )
& ( ~ ra_Px2(X21,X22)
| ~ cd1xcomp(X21) ) ),
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)],[axiom_8])])])])])]) ).
fof(c_0_6,plain,
! [X17,X19,X20] :
( ( cd1(X19)
| ~ ra_Px2(X19,X20) )
& ( ra_Px2(X17,esk3_1(X17))
| ~ cd1(X17) ) ),
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)],[axiom_7])])])])])]) ).
cnf(c_0_7,plain,
( ~ ra_Px2(X1,X2)
| ~ cd1xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( ~ cd1(X1)
| ra_Px2(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X7] :
( cd1(X7)
| ~ cUnsatisfiable(X7) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
fof(c_0_10,plain,
! [X6] :
( cd1xcomp(X6)
| ~ cUnsatisfiable(X6) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
cnf(c_0_11,plain,
( ~ cd1xcomp(X1)
| ~ cd1(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( ~ cUnsatisfiable(X1)
| cd1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ cUnsatisfiable(X1)
| cd1xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
cUnsatisfiable(i2003_11_14_17_22_23554),
inference(split_conjunct,[status(thm)],[axiom_11]) ).
cnf(c_0_15,plain,
~ cUnsatisfiable(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_16,plain,
$false,
inference(sr,[status(thm)],[c_0_14,c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS126+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/10.32 % Computer : n012.cluster.edu
% 0.03/10.32 % Model : x86_64 x86_64
% 0.03/10.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/10.32 % Memory : 8046.5625MB
% 0.03/10.32 % OS : Linux 6.8.0-71-generic
% 0.03/10.32 % CPULimit : 300
% 0.03/10.32 % WCLimit : 300
% 0.03/10.32 % DateTime : Sun Sep 20 22:54:34 UTC 2026
% 0.03/10.32 % CPUTime :
% 0.03/10.32 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/10.34 Running first-order theorem proving
% 0.03/10.34 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
% 0.03/10.36 % Version: 3.5.1
% 0.03/10.36 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.03/10.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.03/10.36 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.03/10.36 % Starting new_bool_3 with 300s (1) cores
% 0.03/10.36 % Starting new_bool_1 with 300s (1) cores
% 0.03/10.36 % Starting sh5l with 300s (1) cores
% 0.03/10.36 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1036790 completed with status 0
% 0.03/10.36 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.03/10.36 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.03/10.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.03/10.36 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.03/10.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.03/10.36 % No SInE strategy applied
% 0.03/10.36 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.03/10.36 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.03/10.36 % Starting SubtermCWHack with 136s (1) cores
% 0.03/10.36 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.03/10.36 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.03/10.36 % Starting new_bool_3 with 136s (1) cores
% 0.03/10.36 % Starting new_bool_1 with 136s (1) cores
% 0.03/10.36 % SubtermCWHack with pid 1036799 completed with status 0
% 0.03/10.36 % Result found by SubtermCWHack
% 0.03/10.36 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.03/10.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.03/10.36 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.03/10.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.03/10.36 % No SInE strategy applied
% 0.03/10.36 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.03/10.36 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.03/10.36 % Starting SubtermCWHack with 136s (1) cores
% 0.03/10.36 % Preprocessing time : 0.001 s
% 0.03/10.36
% 0.03/10.36 % Proof found!
% 0.03/10.36 % SZS status Unsatisfiable
% 0.03/10.36 % SZS output start CNFRefutation
% See solution above
% 0.03/10.36 % Parsed axioms : 12
% 0.03/10.36 % Removed by relevancy pruning/SinE : 0
% 0.03/10.36 % Initial clauses : 18
% 0.03/10.36 % Removed in clause preprocessing : 1
% 0.03/10.36 % Initial clauses in saturation : 17
% 0.03/10.36 % Processed clauses : 22
% 0.03/10.36 % ...of these trivial : 0
% 0.03/10.36 % ...subsumed : 0
% 0.03/10.36 % ...remaining for further processing : 22
% 0.03/10.36 % Other redundant clauses eliminated : 0
% 0.03/10.36 % Clauses deleted for lack of memory : 0
% 0.03/10.36 % Backward-subsumed : 2
% 0.03/10.36 % Backward-rewritten : 0
% 0.03/10.36 % Generated clauses : 13
% 0.03/10.36 % ...of the previous two non-redundant : 5
% 0.03/10.36 % ...aggressively subsumed : 0
% 0.03/10.36 % Contextual simplify-reflections : 1
% 0.03/10.36 % Paramodulations : 12
% 0.03/10.36 % Factorizations : 0
% 0.03/10.36 % NegExts : 0
% 0.03/10.36 % Equation resolutions : 0
% 0.03/10.36 % Disequality decompositions : 0
% 0.03/10.36 % Total rewrite steps : 0
% 0.03/10.36 % ...of those cached : 0
% 0.03/10.36 % Propositional unsat checks : 0
% 0.03/10.36 % Propositional check models : 0
% 0.03/10.36 % Propositional check unsatisfiable : 0
% 0.03/10.36 % Propositional clauses : 0
% 0.03/10.36 % Propositional clauses after purity: 0
% 0.03/10.36 % Propositional unsat core size : 0
% 0.03/10.36 % Propositional preprocessing time : 0.000
% 0.03/10.36 % Propositional encoding time : 0.000
% 0.03/10.36 % Propositional solver time : 0.000
% 0.03/10.36 % Success case prop preproc time : 0.000
% 0.03/10.36 % Success case prop encoding time : 0.000
% 0.03/10.36 % Success case prop solver time : 0.000
% 0.03/10.36 % Current number of processed clauses : 19
% 0.03/10.36 % Positive orientable unit clauses : 0
% 0.03/10.36 % Positive unorientable unit clauses: 0
% 0.03/10.36 % Negative unit clauses : 2
% 0.03/10.36 % Non-unit-clauses : 17
% 0.03/10.36 % Current number of unprocessed clauses: 0
% 0.03/10.36 % ...number of literals in the above : 0
% 0.03/10.36 % Current number of archived formulas : 0
% 0.03/10.36 % Current number of archived clauses : 4
% 0.03/10.36 % Clause-clause subsumption calls (NU) : 43
% 0.03/10.36 % Rec. Clause-clause subsumption calls : 43
% 0.03/10.36 % Non-unit clause-clause subsumptions : 1
% 0.03/10.36 % Unit Clause-clause subsumption calls : 2
% 0.03/10.36 % Rewrite failures with RHS unbound : 0
% 0.03/10.36 % BW rewrite match attempts : 0
% 0.03/10.36 % BW rewrite match successes : 0
% 0.03/10.36 % Condensation attempts : 0
% 0.03/10.36 % Condensation successes : 0
% 0.03/10.36 % Termbank termtop insertions : 1032
% 0.03/10.36 % Search garbage collected termcells : 222
% 0.03/10.36
% 0.03/10.36 % -------------------------------------------------
% 0.03/10.36 % User time : 0.003 s
% 0.03/10.36 % System time : 0.002 s
% 0.03/10.36 % Total time : 0.005 s
% 0.03/10.36 % Maximum resident set size: 3636 pages
% 0.03/10.36
% 0.03/10.36 % -------------------------------------------------
% 0.03/10.36 % User time : 0.008 s
% 0.03/10.36 % System time : 0.008 s
% 0.03/10.36 % Total time : 0.016 s
% 0.03/10.36 % Maximum resident set size: 4608 pages
% 0.03/10.36 % E exiting
%------------------------------------------------------------------------------