%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:12:48 PM UTC 2026
% Result : Theorem 0.15s 5.47s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 6 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(luka_cn1,conjecture,
cn1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn1) ).
fof(implies_3,axiom,
( implies_3
<=> ! [X1,X2,X3] : is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',implies_3) ).
fof(cn1,axiom,
( cn1
<=> ! [X4,X5,X6] : is_a_theorem(implies(implies(X4,X5),implies(implies(X5,X6),implies(X4,X6)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',cn1) ).
fof(hilbert_implies_3,axiom,
implies_3,
file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax',hilbert_implies_3) ).
fof(c_0_4,negated_conjecture,
~ cn1,
inference(assume_negation,[status(cth)],[luka_cn1]) ).
fof(c_0_5,plain,
! [X27,X28,X29] :
( ( implies_3
| ~ is_a_theorem(implies(implies(esk11_0,esk12_0),implies(implies(esk12_0,esk13_0),implies(esk11_0,esk13_0)))) )
& ( is_a_theorem(implies(implies(X27,X28),implies(implies(X28,X29),implies(X27,X29))))
| ~ implies_3 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[implies_3])])])])]) ).
fof(c_0_6,negated_conjecture,
~ cn1,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X83,X84,X85] :
( ( cn1
| ~ is_a_theorem(implies(implies(esk39_0,esk40_0),implies(implies(esk40_0,esk41_0),implies(esk39_0,esk41_0)))) )
& ( is_a_theorem(implies(implies(X83,X84),implies(implies(X84,X85),implies(X83,X85))))
| ~ cn1 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cn1])])])])]) ).
cnf(c_0_8,plain,
( ~ implies_3
| is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
implies_3,
inference(split_conjunct,[status(thm)],[hilbert_implies_3]) ).
fof(c_0_10,negated_conjecture,
~ cn1,
inference(fof_nnf,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( ~ is_a_theorem(implies(implies(esk39_0,esk40_0),implies(implies(esk40_0,esk41_0),implies(esk39_0,esk41_0))))
| cn1 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_13,negated_conjecture,
~ cn1,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.39 % Computer : n001.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Mon Sep 21 00:39:19 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.44 Running first-order theorem proving
% 0.15/5.44 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.15/5.46 % Version: 3.5.1
% 0.15/5.46 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.15/5.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.46 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.46 % Starting sh5l with 300s (1) cores
% 0.15/5.46 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 1825750 completed with status 0
% 0.15/5.46 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.15/5.46 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.15/5.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.46 % No SInE strategy applied
% 0.15/5.46 % Search class: FGUSF-FFMM21-MFFFFFNN
% 0.15/5.46 % Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.46 % Starting SubtermCWHack with 151s (1) cores
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 750s (1) cores
% 0.15/5.46 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 151s (1) cores
% 0.15/5.46 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 151s (1) cores
% 0.15/5.46 % Starting U----_207d_00_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/5.46 % H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 1825766 completed with status 0
% 0.15/5.46 % Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 0.15/5.46 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.15/5.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.15/5.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.46 % No SInE strategy applied
% 0.15/5.46 % Search class: FGUSF-FFMM21-MFFFFFNN
% 0.15/5.46 % Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.46 % Starting SubtermCWHack with 151s (1) cores
% 0.15/5.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 750s (1) cores
% 0.15/5.46 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 151s (1) cores
% 0.15/5.46 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 151s (1) cores
% 0.15/5.46 % Preprocessing time : 0.001 s
% 0.15/5.46 % Presaturation interreduction done
% 0.15/5.47
% 0.15/5.47 % Proof found!
% 0.15/5.47 % SZS status Theorem
% 0.15/5.47 % SZS output start CNFRefutation
% See solution above
% 0.15/5.47 % Parsed axioms : 53
% 0.15/5.47 % Removed by relevancy pruning/SinE : 0
% 0.15/5.47 % Initial clauses : 82
% 0.15/5.47 % Removed in clause preprocessing : 0
% 0.15/5.47 % Initial clauses in saturation : 82
% 0.15/5.47 % Processed clauses : 78
% 0.15/5.47 % ...of these trivial : 23
% 0.15/5.47 % ...subsumed : 0
% 0.15/5.47 % ...remaining for further processing : 54
% 0.15/5.47 % Other redundant clauses eliminated : 0
% 0.15/5.47 % Clauses deleted for lack of memory : 0
% 0.15/5.47 % Backward-subsumed : 0
% 0.15/5.47 % Backward-rewritten : 0
% 0.15/5.47 % Generated clauses : 0
% 0.15/5.47 % ...of the previous two non-redundant : 0
% 0.15/5.47 % ...aggressively subsumed : 0
% 0.15/5.47 % Contextual simplify-reflections : 0
% 0.15/5.47 % Paramodulations : 0
% 0.15/5.47 % Factorizations : 0
% 0.15/5.47 % NegExts : 0
% 0.15/5.47 % Equation resolutions : 0
% 0.15/5.47 % Disequality decompositions : 0
% 0.15/5.47 % Total rewrite steps : 64
% 0.15/5.47 % ...of those cached : 19
% 0.15/5.47 % Propositional unsat checks : 0
% 0.15/5.47 % Propositional check models : 0
% 0.15/5.47 % Propositional check unsatisfiable : 0
% 0.15/5.47 % Propositional clauses : 0
% 0.15/5.47 % Propositional clauses after purity: 0
% 0.15/5.47 % Propositional unsat core size : 0
% 0.15/5.47 % Propositional preprocessing time : 0.000
% 0.15/5.47 % Propositional encoding time : 0.000
% 0.15/5.47 % Propositional solver time : 0.000
% 0.15/5.47 % Success case prop preproc time : 0.000
% 0.15/5.47 % Success case prop encoding time : 0.000
% 0.15/5.47 % Success case prop solver time : 0.000
% 0.15/5.47 % Current number of processed clauses : 54
% 0.15/5.47 % Positive orientable unit clauses : 38
% 0.15/5.47 % Positive unorientable unit clauses: 0
% 0.15/5.47 % Negative unit clauses : 1
% 0.15/5.47 % Non-unit-clauses : 15
% 0.15/5.47 % Current number of unprocessed clauses: 4
% 0.15/5.47 % ...number of literals in the above : 8
% 0.15/5.47 % Current number of archived formulas : 0
% 0.15/5.47 % Current number of archived clauses : 0
% 0.15/5.47 % Clause-clause subsumption calls (NU) : 10
% 0.15/5.47 % Rec. Clause-clause subsumption calls : 10
% 0.15/5.47 % Non-unit clause-clause subsumptions : 0
% 0.15/5.47 % Unit Clause-clause subsumption calls : 13
% 0.15/5.47 % Rewrite failures with RHS unbound : 0
% 0.15/5.47 % BW rewrite match attempts : 13
% 0.15/5.47 % BW rewrite match successes : 0
% 0.15/5.47 % Condensation attempts : 0
% 0.15/5.47 % Condensation successes : 0
% 0.15/5.47 % Termbank termtop insertions : 4738
% 0.15/5.47 % Search garbage collected termcells : 1092
% 0.15/5.47
% 0.15/5.47 % -------------------------------------------------
% 0.15/5.47 % User time : 0.006 s
% 0.15/5.47 % System time : 0.005 s
% 0.15/5.47 % Total time : 0.012 s
% 0.15/5.47 % Maximum resident set size: 3660 pages
% 0.15/5.47
% 0.15/5.47 % -------------------------------------------------
% 0.15/5.47 % User time : 0.021 s
% 0.15/5.47 % System time : 0.018 s
% 0.15/5.47 % Total time : 0.039 s
% 0.15/5.47 % Maximum resident set size: 4608 pages
% 0.15/5.47 % E exiting
%------------------------------------------------------------------------------