%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO499+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:28:21 PM UTC 2026
% Result : Theorem 0.22s 0.53s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 23 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 7 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz7_15b,conjecture,
! [X13,X16,X27,X12] :
( ~ s_t(s(X12,X13),s(X12,X16),s(X12,X27))
| s_t(X13,X16,X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15b) ).
fof(aSatz7_15a,axiom,
! [X13,X16,X27,X12] :
( s_t(s(X12,X13),s(X12,X16),s(X12,X27))
| ~ s_t(X13,X16,X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_15a) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(c_0_3,negated_conjecture,
~ ! [X13,X16,X27,X12] :
( ~ s_t(s(X12,X13),s(X12,X16),s(X12,X27))
| s_t(X13,X16,X27) ),
inference(assume_negation,[status(cth)],[aSatz7_15b]) ).
fof(c_0_4,plain,
! [X13,X16,X27,X12] :
( s_t(s(X12,X13),s(X12,X16),s(X12,X27))
| ~ s_t(X13,X16,X27) ),
inference(fof_simplification,[status(thm)],[aSatz7_15a]) ).
fof(c_0_5,negated_conjecture,
~ ! [X13,X16,X27,X12] :
( ~ s_t(s(X12,X13),s(X12,X16),s(X12,X27))
| s_t(X13,X16,X27) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_6,plain,
! [X423,X424,X425,X426] :
( s_t(s(X426,X423),s(X426,X424),s(X426,X425))
| ~ s_t(X423,X424,X425) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_4])]) ).
fof(c_0_7,negated_conjecture,
( s_t(s(esk4_0,esk1_0),s(esk4_0,esk2_0),s(esk4_0,esk3_0))
& ~ s_t(esk1_0,esk2_0,esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
cnf(c_0_8,plain,
( ~ s_t(X1,X2,X3)
| s_t(s(X4,X1),s(X4,X2),s(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
s_t(s(esk4_0,esk1_0),s(esk4_0,esk2_0),s(esk4_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X407,X408] : s(X407,s(X407,X408)) = X408,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
cnf(c_0_11,negated_conjecture,
s_t(s(X1,s(esk4_0,esk1_0)),s(X1,s(esk4_0,esk2_0)),s(X1,s(esk4_0,esk3_0))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
~ s_t(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_12]),c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO499+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 16:51:20 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.22/0.53 % Version: 3.5.1
% 0.22/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.53 % Starting sh5l with 300s (1) cores
% 0.22/0.53 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3206820 completed with status 0
% 0.22/0.53 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.22/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.53 % No SInE strategy applied
% 0.22/0.53 % Search class: FGHSM-FSLF33-MFFFFFNN
% 0.22/0.53 % partial match(1): FGHSM-FSLM33-MFFFFFNN
% 0.22/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.22/0.53 % Starting new_bool_3 with 393s (1) cores
% 0.22/0.53 % Starting G-E--_303_C18_F1_URBAN_S0Y with 330s (1) cores
% 0.22/0.53 % Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 136s (1) cores
% 0.22/0.53 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3206829 completed with status 0
% 0.22/0.53 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.22/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.53 % No SInE strategy applied
% 0.22/0.53 % Search class: FGHSM-FSLF33-MFFFFFNN
% 0.22/0.53 % partial match(1): FGHSM-FSLM33-MFFFFFNN
% 0.22/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.22/0.53 % Preprocessing time : 0.003 s
% 0.22/0.53 % Presaturation interreduction done
% 0.22/0.53
% 0.22/0.53 % Proof found!
% 0.22/0.53 % SZS status Theorem
% 0.22/0.53 % SZS output start CNFRefutation
% See solution above
% 0.22/0.53 % Parsed axioms : 116
% 0.22/0.53 % Removed by relevancy pruning/SinE : 0
% 0.22/0.53 % Initial clauses : 167
% 0.22/0.53 % Removed in clause preprocessing : 1
% 0.22/0.53 % Initial clauses in saturation : 166
% 0.22/0.53 % Processed clauses : 611
% 0.22/0.53 % ...of these trivial : 54
% 0.22/0.53 % ...subsumed : 43
% 0.22/0.53 % ...remaining for further processing : 514
% 0.22/0.53 % Other redundant clauses eliminated : 11
% 0.22/0.53 % Clauses deleted for lack of memory : 0
% 0.22/0.53 % Backward-subsumed : 1
% 0.22/0.53 % Backward-rewritten : 1
% 0.22/0.53 % Generated clauses : 3038
% 0.22/0.53 % ...of the previous two non-redundant : 2559
% 0.22/0.53 % ...aggressively subsumed : 0
% 0.22/0.53 % Contextual simplify-reflections : 2
% 0.22/0.53 % Paramodulations : 3024
% 0.22/0.53 % Factorizations : 2
% 0.22/0.53 % NegExts : 0
% 0.22/0.53 % Equation resolutions : 12
% 0.22/0.53 % Disequality decompositions : 0
% 0.22/0.53 % Total rewrite steps : 667
% 0.22/0.53 % ...of those cached : 517
% 0.22/0.53 % Propositional unsat checks : 0
% 0.22/0.53 % Propositional check models : 0
% 0.22/0.53 % Propositional check unsatisfiable : 0
% 0.22/0.53 % Propositional clauses : 0
% 0.22/0.53 % Propositional clauses after purity: 0
% 0.22/0.53 % Propositional unsat core size : 0
% 0.22/0.53 % Propositional preprocessing time : 0.000
% 0.22/0.53 % Propositional encoding time : 0.000
% 0.22/0.53 % Propositional solver time : 0.000
% 0.22/0.53 % Success case prop preproc time : 0.000
% 0.22/0.53 % Success case prop encoding time : 0.000
% 0.22/0.53 % Success case prop solver time : 0.000
% 0.22/0.53 % Current number of processed clauses : 350
% 0.22/0.53 % Positive orientable unit clauses : 104
% 0.22/0.53 % Positive unorientable unit clauses: 0
% 0.22/0.53 % Negative unit clauses : 10
% 0.22/0.53 % Non-unit-clauses : 236
% 0.22/0.53 % Current number of unprocessed clauses: 2229
% 0.22/0.53 % ...number of literals in the above : 4901
% 0.22/0.53 % Current number of archived formulas : 0
% 0.22/0.53 % Current number of archived clauses : 157
% 0.22/0.53 % Clause-clause subsumption calls (NU) : 15123
% 0.22/0.53 % Rec. Clause-clause subsumption calls : 8672
% 0.22/0.53 % Non-unit clause-clause subsumptions : 44
% 0.22/0.53 % Unit Clause-clause subsumption calls : 294
% 0.22/0.53 % Rewrite failures with RHS unbound : 0
% 0.22/0.53 % BW rewrite match attempts : 1107
% 0.22/0.53 % BW rewrite match successes : 1
% 0.22/0.53 % Condensation attempts : 0
% 0.22/0.53 % Condensation successes : 0
% 0.22/0.53 % Termbank termtop insertions : 78908
% 0.22/0.53 % Search garbage collected termcells : 1184
% 0.22/0.53
% 0.22/0.53 % -------------------------------------------------
% 0.22/0.53 % User time : 0.084 s
% 0.22/0.53 % System time : 0.009 s
% 0.22/0.53 % Total time : 0.092 s
% 0.22/0.53 % Maximum resident set size: 4092 pages
% 0.22/0.53
% 0.22/0.53 % -------------------------------------------------
% 0.22/0.53 % User time : 0.257 s
% 0.22/0.53 % System time : 0.038 s
% 0.22/0.53 % Total time : 0.295 s
% 0.22/0.53 % Maximum resident set size: 4864 pages
% 0.22/0.53 % E exiting
%------------------------------------------------------------------------------