%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL083-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:11:43 PM UTC 2026
% Result : Unsatisfiable 0.21s 5.88s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of clauses : 32 ( 21 unt; 0 nHn; 7 RR)
% Number of literals : 46 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 93 ( 47 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(ic_JLukasiewicz,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
cnf(ic_1,axiom,
is_a_theorem(implies(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_1) ).
cnf(prove_ic_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_3) ).
cnf(c_0_4,plain,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(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(implies(X1,X2))
| is_a_theorem(X2) ),
c_0_4 ).
cnf(c_0_6,axiom,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))),
ic_JLukasiewicz ).
cnf(c_0_7,plain,
( ~ is_a_theorem(implies(implies(X2,X4),X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,axiom,
is_a_theorem(implies(X1,X1)),
ic_1 ).
cnf(c_0_9,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
( ~ is_a_theorem(implies(implies(X2,X3),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_9]) ).
cnf(c_0_11,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_12,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_13,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_14,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_15,plain,
( ~ is_a_theorem(implies(implies(X4,implies(X3,X5)),implies(X2,X3)))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_5,c_0_13]) ).
cnf(c_0_16,plain,
( ~ is_a_theorem(implies(implies(X3,X3),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_14]) ).
cnf(c_0_17,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
cnf(c_0_18,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_16,c_0_6]) ).
cnf(c_0_19,plain,
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) ),
inference(spm,[status(thm)],[c_0_5,c_0_17]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4),implies(X5,X4))),
inference(spm,[status(thm)],[c_0_7,c_0_18]) ).
cnf(c_0_21,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_19,c_0_6]) ).
cnf(c_0_22,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X3,X4),X3),implies(X5,X3)),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_5,c_0_20]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))),
inference(spm,[status(thm)],[c_0_7,c_0_21]) ).
cnf(c_0_24,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,plain,
( ~ is_a_theorem(X4)
| is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) ),
inference(spm,[status(thm)],[c_0_5,c_0_24]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),
inference(spm,[status(thm)],[c_0_25,c_0_6]) ).
cnf(c_0_27,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(fof_simplification,[status(thm)],[prove_ic_3]) ).
cnf(c_0_28,plain,
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
c_0_27 ).
cnf(c_0_30,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
inference(spm,[status(thm)],[c_0_28,c_0_6]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL083-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.61 % Computer : n010.cluster.edu
% 0.16/5.61 % Model : x86_64 x86_64
% 0.16/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.61 % Memory : 8046.5625MB
% 0.16/5.61 % OS : Linux 6.8.0-71-generic
% 0.16/5.61 % CPULimit : 300
% 0.16/5.61 % WCLimit : 300
% 0.16/5.61 % DateTime : Mon Sep 21 00:04:15 UTC 2026
% 0.16/5.61 % CPUTime :
% 0.16/5.61 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.67 Running first-order theorem proving
% 0.16/5.67 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
% 0.21/5.88 % Version: 3.5.1
% 0.21/5.88 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/5.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.88 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/5.88 % Starting new_bool_3 with 300s (1) cores
% 0.21/5.88 % Starting new_bool_1 with 300s (1) cores
% 0.21/5.88 % Starting sh5l with 300s (1) cores
% 0.21/5.88 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3831573 completed with status 0
% 0.21/5.88 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.21/5.88 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/5.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.88 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/5.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/5.88 % No SInE strategy applied
% 0.21/5.88 % Search class: FHUNS-FFSF22-MFFFFFNN
% 0.21/5.88 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/5.88 % Starting SubtermCWHack with 136s (1) cores
% 0.21/5.88 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/5.88 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S00 with 136s (1) cores
% 0.21/5.88 % Starting G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with 136s (1) cores
% 0.21/5.88 % Starting new_bool_3 with 136s (1) cores
% 0.21/5.88 % G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with pid 3831580 completed with status 0
% 0.21/5.88 % Result found by G-E--_060_C18_F1_PI_AE_CS_SP_S0Y
% 0.21/5.88 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/5.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.88 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/5.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/5.88 % No SInE strategy applied
% 0.21/5.88 % Search class: FHUNS-FFSF22-MFFFFFNN
% 0.21/5.88 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/5.88 % Starting SubtermCWHack with 136s (1) cores
% 0.21/5.88 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/5.88 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S00 with 136s (1) cores
% 0.21/5.88 % Starting G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with 136s (1) cores
% 0.21/5.88 % Preprocessing time : 0.002 s
% 0.21/5.88
% 0.21/5.88 % Proof found!
% 0.21/5.88 % SZS status Unsatisfiable
% 0.21/5.88 % SZS output start CNFRefutation
% See solution above
% 0.21/5.88 % Parsed axioms : 4
% 0.21/5.88 % Removed by relevancy pruning/SinE : 0
% 0.21/5.88 % Initial clauses : 4
% 0.21/5.88 % Removed in clause preprocessing : 0
% 0.21/5.88 % Initial clauses in saturation : 4
% 0.21/5.88 % Processed clauses : 1604
% 0.21/5.88 % ...of these trivial : 129
% 0.21/5.88 % ...subsumed : 1296
% 0.21/5.88 % ...remaining for further processing : 179
% 0.21/5.88 % Other redundant clauses eliminated : 0
% 0.21/5.88 % Clauses deleted for lack of memory : 0
% 0.21/5.88 % Backward-subsumed : 3
% 0.21/5.88 % Backward-rewritten : 15
% 0.21/5.88 % Generated clauses : 6947
% 0.21/5.88 % ...of the previous two non-redundant : 5252
% 0.21/5.88 % ...aggressively subsumed : 0
% 0.21/5.88 % Contextual simplify-reflections : 0
% 0.21/5.88 % Paramodulations : 6947
% 0.21/5.88 % Factorizations : 0
% 0.21/5.88 % NegExts : 0
% 0.21/5.88 % Equation resolutions : 0
% 0.21/5.88 % Disequality decompositions : 0
% 0.21/5.88 % Total rewrite steps : 1777
% 0.21/5.88 % ...of those cached : 1666
% 0.21/5.88 % Propositional unsat checks : 0
% 0.21/5.88 % Propositional check models : 0
% 0.21/5.88 % Propositional check unsatisfiable : 0
% 0.21/5.88 % Propositional clauses : 0
% 0.21/5.88 % Propositional clauses after purity: 0
% 0.21/5.88 % Propositional unsat core size : 0
% 0.21/5.88 % Propositional preprocessing time : 0.000
% 0.21/5.88 % Propositional encoding time : 0.000
% 0.21/5.88 % Propositional solver time : 0.000
% 0.21/5.88 % Success case prop preproc time : 0.000
% 0.21/5.88 % Success case prop encoding time : 0.000
% 0.21/5.88 % Success case prop solver time : 0.000
% 0.21/5.88 % Current number of processed clauses : 161
% 0.21/5.88 % Positive orientable unit clauses : 60
% 0.21/5.88 % Positive unorientable unit clauses: 0
% 0.21/5.88 % Negative unit clauses : 1
% 0.21/5.88 % Non-unit-clauses : 100
% 0.21/5.88 % Current number of unprocessed clauses: 3047
% 0.21/5.88 % ...number of literals in the above : 3647
% 0.21/5.88 % Current number of archived formulas : 0
% 0.21/5.88 % Current number of archived clauses : 18
% 0.21/5.88 % Clause-clause subsumption calls (NU) : 22396
% 0.21/5.88 % Rec. Clause-clause subsumption calls : 22396
% 0.21/5.88 % Non-unit clause-clause subsumptions : 1299
% 0.21/5.88 % Unit Clause-clause subsumption calls : 383
% 0.21/5.88 % Rewrite failures with RHS unbound : 0
% 0.21/5.88 % BW rewrite match attempts : 1834
% 0.21/5.88 % BW rewrite match successes : 15
% 0.21/5.88 % Condensation attempts : 0
% 0.21/5.88 % Condensation successes : 0
% 0.21/5.88 % Termbank termtop insertions : 83628
% 0.21/5.88 % Search garbage collected termcells : 8
% 0.21/5.88
% 0.21/5.88 % -------------------------------------------------
% 0.21/5.88 % User time : 0.123 s
% 0.21/5.88 % System time : 0.007 s
% 0.21/5.88 % Total time : 0.130 s
% 0.21/5.88 % Maximum resident set size: 3376 pages
% 0.21/5.88
% 0.21/5.88 % -------------------------------------------------
% 0.21/5.88 % User time : 0.730 s
% 0.21/5.88 % System time : 0.039 s
% 0.21/5.88 % Total time : 0.769 s
% 0.21/5.88 % Maximum resident set size: 4608 pages
% 0.21/5.88 % E exiting
%------------------------------------------------------------------------------