%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL126-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 01:18:33 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 18 ( 11 unt; 0 nHn; 12 RR)
% Number of literals : 29 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(q_4,axiom,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_4) ).
cnf(prove_q_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,b)),equivalent(a,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_q_2) ).
cnf(q_3,axiom,
is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3) ).
cnf(c_0_4,plain,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(X2) ),
inference(fof_simplification,[status(thm)],[condensed_detachment]) ).
cnf(c_0_5,plain,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(X2) ),
c_0_4 ).
cnf(c_0_6,axiom,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),
q_4 ).
cnf(c_0_7,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,b)),equivalent(a,c))),
inference(fof_simplification,[status(thm)],[prove_q_2]) ).
cnf(c_0_8,plain,
( ~ is_a_theorem(equivalent(X1,X3))
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2))) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,b)),equivalent(a,c))),
c_0_7 ).
cnf(c_0_10,plain,
( ~ is_a_theorem(equivalent(X3,X1))
| ~ is_a_theorem(equivalent(X3,X2))
| is_a_theorem(equivalent(X1,X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( ~ is_a_theorem(equivalent(X1,equivalent(a,c)))
| ~ is_a_theorem(equivalent(X1,equivalent(equivalent(a,b),equivalent(c,b)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,c),equivalent(a,c))),
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_13,axiom,
is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)))),
q_3 ).
cnf(c_0_14,negated_conjecture,
~ is_a_theorem(equivalent(X1,equivalent(a,c))),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_15,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2))) ),
inference(spm,[status(thm)],[c_0_5,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
~ is_a_theorem(X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[c_0_6,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL126-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.36 % Computer : n009.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 00:06:48 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.40 Running first-order theorem proving
% 0.15/5.40 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
% 0.15/5.42 % Version: 3.5.1
% 0.15/5.42 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/5.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.42 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/5.42 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.42 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.42 % Starting sh5l with 300s (1) cores
% 0.15/5.42 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 418898 completed with status 0
% 0.15/5.42 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/5.42 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/5.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.42 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/5.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.42 % No SInE strategy applied
% 0.15/5.42 % Search class: FHUNS-FFSF22-MFFFFFNN
% 0.15/5.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.42 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.42 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/5.42 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S00 with 136s (1) cores
% 0.15/5.42 % Starting G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with 136s (1) cores
% 0.15/5.42 % Starting new_bool_3 with 136s (1) cores
% 0.15/5.42 % G-E--_208_C18_F1_SE_CS_SP_PS_S00 with pid 418904 completed with status 0
% 0.15/5.42 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S00
% 0.15/5.42 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/5.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.42 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/5.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.42 % No SInE strategy applied
% 0.15/5.42 % Search class: FHUNS-FFSF22-MFFFFFNN
% 0.15/5.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.42 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.42 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/5.42 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S00 with 136s (1) cores
% 0.15/5.42 % Preprocessing time : 0.001 s
% 0.15/5.42 % Presaturation interreduction done
% 0.15/5.42
% 0.15/5.42 % Proof found!
% 0.15/5.42 % SZS status Unsatisfiable
% 0.15/5.42 % SZS output start CNFRefutation
% See solution above
% 0.15/5.42 % Parsed axioms : 4
% 0.15/5.42 % Removed by relevancy pruning/SinE : 0
% 0.15/5.42 % Initial clauses : 4
% 0.15/5.42 % Removed in clause preprocessing : 0
% 0.15/5.42 % Initial clauses in saturation : 4
% 0.15/5.42 % Processed clauses : 19
% 0.15/5.42 % ...of these trivial : 0
% 0.15/5.42 % ...subsumed : 1
% 0.15/5.42 % ...remaining for further processing : 18
% 0.15/5.42 % Other redundant clauses eliminated : 0
% 0.15/5.42 % Clauses deleted for lack of memory : 0
% 0.15/5.42 % Backward-subsumed : 11
% 0.15/5.42 % Backward-rewritten : 0
% 0.15/5.42 % Generated clauses : 33
% 0.15/5.42 % ...of the previous two non-redundant : 31
% 0.15/5.42 % ...aggressively subsumed : 0
% 0.15/5.42 % Contextual simplify-reflections : 0
% 0.15/5.42 % Paramodulations : 31
% 0.15/5.42 % Factorizations : 0
% 0.15/5.42 % NegExts : 0
% 0.15/5.42 % Equation resolutions : 0
% 0.15/5.42 % Disequality decompositions : 0
% 0.15/5.42 % Total rewrite steps : 0
% 0.15/5.42 % ...of those cached : 0
% 0.15/5.42 % Propositional unsat checks : 0
% 0.15/5.42 % Propositional check models : 0
% 0.15/5.42 % Propositional check unsatisfiable : 0
% 0.15/5.42 % Propositional clauses : 0
% 0.15/5.42 % Propositional clauses after purity: 0
% 0.15/5.42 % Propositional unsat core size : 0
% 0.15/5.42 % Propositional preprocessing time : 0.000
% 0.15/5.42 % Propositional encoding time : 0.000
% 0.15/5.42 % Propositional solver time : 0.000
% 0.15/5.42 % Success case prop preproc time : 0.000
% 0.15/5.42 % Success case prop encoding time : 0.000
% 0.15/5.42 % Success case prop solver time : 0.000
% 0.15/5.42 % Current number of processed clauses : 1
% 0.15/5.42 % Positive orientable unit clauses : 0
% 0.15/5.42 % Positive unorientable unit clauses: 0
% 0.15/5.42 % Negative unit clauses : 1
% 0.15/5.42 % Non-unit-clauses : 0
% 0.15/5.42 % Current number of unprocessed clauses: 20
% 0.15/5.42 % ...number of literals in the above : 55
% 0.15/5.42 % Current number of archived formulas : 0
% 0.15/5.42 % Current number of archived clauses : 17
% 0.15/5.42 % Clause-clause subsumption calls (NU) : 5
% 0.15/5.42 % Rec. Clause-clause subsumption calls : 5
% 0.15/5.42 % Non-unit clause-clause subsumptions : 0
% 0.15/5.42 % Unit Clause-clause subsumption calls : 19
% 0.15/5.42 % Rewrite failures with RHS unbound : 0
% 0.15/5.42 % BW rewrite match attempts : 6
% 0.15/5.42 % BW rewrite match successes : 0
% 0.15/5.42 % Condensation attempts : 0
% 0.15/5.42 % Condensation successes : 0
% 0.15/5.42 % Termbank termtop insertions : 564
% 0.15/5.42 % Search garbage collected termcells : 8
% 0.15/5.42
% 0.15/5.42 % -------------------------------------------------
% 0.15/5.42 % User time : 0.003 s
% 0.15/5.42 % System time : 0.003 s
% 0.15/5.42 % Total time : 0.006 s
% 0.15/5.42 % Maximum resident set size: 3632 pages
% 0.15/5.42
% 0.15/5.42 % -------------------------------------------------
% 0.15/5.42 % User time : 0.011 s
% 0.15/5.42 % System time : 0.017 s
% 0.15/5.42 % Total time : 0.028 s
% 0.15/5.42 % Maximum resident set size: 4608 pages
% 0.15/5.42 % E exiting
%------------------------------------------------------------------------------