%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL090-1 : 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 : n020.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 01:11:44 PM UTC 2026
% Result : Unsatisfiable 0.16s 5.58s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 3
% Syntax : Number of clauses : 45 ( 28 unt; 0 nHn; 7 RR)
% Number of literals : 65 ( 0 equ; 23 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 : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 176 ( 107 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_5,axiom,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X4)),implies(implies(X4,X1),implies(X5,implies(X3,X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
cnf(prove_ic_1,negated_conjecture,
~ is_a_theorem(implies(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_1) ).
cnf(c_0_3,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_4,plain,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
c_0_3 ).
cnf(c_0_5,axiom,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X4)),implies(implies(X4,X1),implies(X5,implies(X3,X1))))),
ic_JLukasiewicz_5 ).
cnf(c_0_6,plain,
( ~ is_a_theorem(implies(implies(X2,X5),implies(X4,X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X4,X2)))) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X3,X4)),implies(X5,implies(implies(X6,X3),implies(X3,X4))))),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_8,plain,
( ~ is_a_theorem(implies(implies(X5,implies(X6,X3)),implies(X3,X4)))
| is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X4)))) ),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_9,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(implies(X4,X5),implies(X5,X3)))))),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,plain,
( ~ is_a_theorem(X5)
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_9]) ).
cnf(c_0_11,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X5,X2))),implies(X6,implies(X7,implies(X4,implies(X5,X2)))))),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,plain,
is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))),
inference(spm,[status(thm)],[c_0_10,c_0_5]) ).
cnf(c_0_13,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,implies(X3,X4))),implies(implies(X5,X4),implies(X4,X6))),implies(X7,implies(X8,implies(implies(X5,X4),implies(X4,X6)))))),
inference(spm,[status(thm)],[c_0_6,c_0_11]) ).
cnf(c_0_14,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X2,X3)),X4),implies(X5,implies(X3,X4)))),
inference(spm,[status(thm)],[c_0_6,c_0_12]) ).
cnf(c_0_15,plain,
( ~ is_a_theorem(implies(implies(X6,implies(X7,implies(X8,X4))),implies(implies(X3,X4),implies(X4,X5))))
| is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X4),implies(X4,X5))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_13]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X4,implies(X5,X3)))))),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_17,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X4),implies(X4,implies(X5,X4)))))),
inference(spm,[status(thm)],[c_0_15,c_0_5]) ).
cnf(c_0_18,plain,
( ~ is_a_theorem(X5)
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_16]) ).
cnf(c_0_19,plain,
( ~ is_a_theorem(X5)
| is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_17]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))),
inference(spm,[status(thm)],[c_0_18,c_0_5]) ).
cnf(c_0_21,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3))))),
inference(spm,[status(thm)],[c_0_19,c_0_5]) ).
cnf(c_0_22,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(X5,implies(X3,X4)))),
inference(spm,[status(thm)],[c_0_6,c_0_20]) ).
cnf(c_0_23,plain,
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2)))) ),
inference(spm,[status(thm)],[c_0_4,c_0_21]) ).
cnf(c_0_24,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X4,X1))),implies(X5,implies(X6,implies(X3,implies(X4,X1)))))),
inference(spm,[status(thm)],[c_0_6,c_0_22]) ).
cnf(c_0_25,plain,
is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_23,c_0_5]) ).
cnf(c_0_26,plain,
( ~ is_a_theorem(implies(implies(X5,X6),implies(X3,implies(X4,X5))))
| is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X5))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_24]) ).
cnf(c_0_27,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X4,implies(X2,implies(X3,X2))))),
inference(spm,[status(thm)],[c_0_6,c_0_25]) ).
cnf(c_0_28,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4)))))),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,plain,
( ~ is_a_theorem(X5)
| is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_28]) ).
cnf(c_0_30,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3))))),
inference(spm,[status(thm)],[c_0_29,c_0_5]) ).
cnf(c_0_31,plain,
( ~ is_a_theorem(X4)
| is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))) ),
inference(spm,[status(thm)],[c_0_4,c_0_30]) ).
cnf(c_0_32,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_31,c_0_5]) ).
cnf(c_0_33,plain,
( ~ is_a_theorem(X3)
| is_a_theorem(implies(X1,implies(X2,X1))) ),
inference(spm,[status(thm)],[c_0_4,c_0_32]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_33,c_0_5]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X4))))),
inference(spm,[status(thm)],[c_0_26,c_0_34]) ).
cnf(c_0_36,plain,
( ~ is_a_theorem(X4)
| is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))) ),
inference(spm,[status(thm)],[c_0_4,c_0_35]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))),
inference(spm,[status(thm)],[c_0_36,c_0_5]) ).
cnf(c_0_38,plain,
( ~ is_a_theorem(X3)
| is_a_theorem(implies(X1,implies(X2,X2))) ),
inference(spm,[status(thm)],[c_0_4,c_0_37]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_38,c_0_5]) ).
cnf(c_0_40,negated_conjecture,
~ is_a_theorem(implies(a,a)),
inference(fof_simplification,[status(thm)],[prove_ic_1]) ).
cnf(c_0_41,plain,
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X1,X1)) ),
inference(spm,[status(thm)],[c_0_4,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
~ is_a_theorem(implies(a,a)),
c_0_40 ).
cnf(c_0_43,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_41,c_0_5]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL090-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n020.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 00:05:24 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.46 Running first-order theorem proving
% 0.16/5.46 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
% 0.16/5.58 % Version: 3.5.1
% 0.16/5.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/5.58 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.58 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.58 % Starting sh5l with 300s (1) cores
% 0.16/5.58 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1557924 completed with status 0
% 0.16/5.58 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.16/5.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/5.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.58 % No SInE strategy applied
% 0.16/5.58 % Search class: FHUNF-FFSF22-MFFFFFNN
% 0.16/5.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.58 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/5.58 % Starting G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with 136s (1) cores
% 0.16/5.58 % Starting new_bool_3 with 136s (1) cores
% 0.16/5.58 % Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/5.58 % U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 1557932 completed with status 0
% 0.16/5.58 % Result found by U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/5.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/5.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.58 % No SInE strategy applied
% 0.16/5.58 % Search class: FHUNF-FFSF22-MFFFFFNN
% 0.16/5.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.58 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/5.58 % Starting G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with 136s (1) cores
% 0.16/5.58 % Starting new_bool_3 with 136s (1) cores
% 0.16/5.58 % Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/5.58 % Preprocessing time : 0.002 s
% 0.16/5.58 % Presaturation interreduction done
% 0.16/5.58
% 0.16/5.58 % Proof found!
% 0.16/5.58 % SZS status Unsatisfiable
% 0.16/5.58 % SZS output start CNFRefutation
% See solution above
% 0.16/5.58 % Parsed axioms : 3
% 0.16/5.58 % Removed by relevancy pruning/SinE : 0
% 0.16/5.58 % Initial clauses : 3
% 0.16/5.58 % Removed in clause preprocessing : 0
% 0.16/5.58 % Initial clauses in saturation : 3
% 0.16/5.58 % Processed clauses : 196
% 0.16/5.58 % ...of these trivial : 23
% 0.16/5.58 % ...subsumed : 30
% 0.16/5.58 % ...remaining for further processing : 143
% 0.16/5.58 % Other redundant clauses eliminated : 0
% 0.16/5.58 % Clauses deleted for lack of memory : 0
% 0.16/5.58 % Backward-subsumed : 9
% 0.16/5.58 % Backward-rewritten : 66
% 0.16/5.58 % Generated clauses : 1710
% 0.16/5.58 % ...of the previous two non-redundant : 1367
% 0.16/5.58 % ...aggressively subsumed : 0
% 0.16/5.58 % Contextual simplify-reflections : 0
% 0.16/5.58 % Paramodulations : 1710
% 0.16/5.58 % Factorizations : 0
% 0.16/5.58 % NegExts : 0
% 0.16/5.58 % Equation resolutions : 0
% 0.16/5.58 % Disequality decompositions : 0
% 0.16/5.58 % Total rewrite steps : 443
% 0.16/5.58 % ...of those cached : 154
% 0.16/5.58 % Propositional unsat checks : 0
% 0.16/5.58 % Propositional check models : 0
% 0.16/5.58 % Propositional check unsatisfiable : 0
% 0.16/5.58 % Propositional clauses : 0
% 0.16/5.58 % Propositional clauses after purity: 0
% 0.16/5.58 % Propositional unsat core size : 0
% 0.16/5.58 % Propositional preprocessing time : 0.000
% 0.16/5.58 % Propositional encoding time : 0.000
% 0.16/5.58 % Propositional solver time : 0.000
% 0.16/5.58 % Success case prop preproc time : 0.000
% 0.16/5.58 % Success case prop encoding time : 0.000
% 0.16/5.58 % Success case prop solver time : 0.000
% 0.16/5.58 % Current number of processed clauses : 65
% 0.16/5.58 % Positive orientable unit clauses : 46
% 0.16/5.58 % Positive unorientable unit clauses: 0
% 0.16/5.58 % Negative unit clauses : 1
% 0.16/5.58 % Non-unit-clauses : 18
% 0.16/5.58 % Current number of unprocessed clauses: 519
% 0.16/5.58 % ...number of literals in the above : 723
% 0.16/5.58 % Current number of archived formulas : 0
% 0.16/5.58 % Current number of archived clauses : 78
% 0.16/5.58 % Clause-clause subsumption calls (NU) : 424
% 0.16/5.58 % Rec. Clause-clause subsumption calls : 424
% 0.16/5.58 % Non-unit clause-clause subsumptions : 39
% 0.16/5.58 % Unit Clause-clause subsumption calls : 144
% 0.16/5.58 % Rewrite failures with RHS unbound : 0
% 0.16/5.58 % BW rewrite match attempts : 3393
% 0.16/5.58 % BW rewrite match successes : 66
% 0.16/5.58 % Condensation attempts : 0
% 0.16/5.58 % Condensation successes : 0
% 0.16/5.58 % Termbank termtop insertions : 28479
% 0.16/5.58 % Search garbage collected termcells : 8
% 0.16/5.58
% 0.16/5.58 % -------------------------------------------------
% 0.16/5.58 % User time : 0.050 s
% 0.16/5.58 % System time : 0.009 s
% 0.16/5.58 % Total time : 0.059 s
% 0.16/5.58 % Maximum resident set size: 3632 pages
% 0.16/5.58
% 0.16/5.58 % -------------------------------------------------
% 0.16/5.58 % User time : 0.336 s
% 0.16/5.58 % System time : 0.040 s
% 0.16/5.58 % Total time : 0.376 s
% 0.16/5.58 % Maximum resident set size: 4864 pages
% 0.16/5.58 % E exiting
%------------------------------------------------------------------------------