%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL094-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:11:45 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.52s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of clauses : 57 ( 33 unt; 0 nHn; 12 RR)
% Number of literals : 84 ( 0 equ; 30 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 : 174 ( 72 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(ic_JLukasiewicz_4,axiom,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X4)),implies(X5,implies(implies(X4,X1),implies(X3,X1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
cnf(prove_ic_5,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_5) ).
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(X5,implies(implies(X4,X1),implies(X3,X1))))),
ic_JLukasiewicz_4 ).
cnf(c_0_6,plain,
( ~ is_a_theorem(implies(implies(X3,X5),implies(X4,X2)))
| is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3)))) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),implies(X4,X3)),implies(X3,X5)),implies(X6,implies(X3,X5))))),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_8,plain,
( ~ is_a_theorem(X6)
| is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_9,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),
inference(spm,[status(thm)],[c_0_8,c_0_5]) ).
cnf(c_0_10,plain,
( ~ is_a_theorem(implies(implies(implies(X4,X2),implies(X5,X2)),implies(X2,X3)))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_4,c_0_9]) ).
cnf(c_0_11,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X2,X3))))),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_12,plain,
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_4,c_0_11]) ).
cnf(c_0_13,plain,
is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_12,c_0_5]) ).
cnf(c_0_14,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_6,c_0_13]) ).
cnf(c_0_15,plain,
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))) ),
inference(spm,[status(thm)],[c_0_4,c_0_14]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))),
inference(spm,[status(thm)],[c_0_15,c_0_5]) ).
cnf(c_0_17,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_18,plain,
( ~ is_a_theorem(X3)
| is_a_theorem(implies(X1,implies(X2,X1))) ),
inference(spm,[status(thm)],[c_0_4,c_0_17]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_18,c_0_5]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(implies(X4,X2),implies(X5,X2))),implies(X6,implies(implies(X4,X2),implies(X5,X2)))))),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_21,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))),
inference(spm,[status(thm)],[c_0_6,c_0_19]) ).
cnf(c_0_22,plain,
( ~ is_a_theorem(X6)
| is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))) ),
inference(spm,[status(thm)],[c_0_4,c_0_20]) ).
cnf(c_0_23,plain,
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
inference(spm,[status(thm)],[c_0_4,c_0_21]) ).
cnf(c_0_24,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))),
inference(spm,[status(thm)],[c_0_22,c_0_5]) ).
cnf(c_0_25,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))),
inference(spm,[status(thm)],[c_0_23,c_0_5]) ).
cnf(c_0_26,plain,
( ~ is_a_theorem(implies(implies(X3,X5),implies(implies(X2,X3),implies(X4,X3))))
| is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3)))) ),
inference(spm,[status(thm)],[c_0_4,c_0_24]) ).
cnf(c_0_27,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X4,implies(X2,X3))))),
inference(spm,[status(thm)],[c_0_6,c_0_25]) ).
cnf(c_0_28,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X3)))),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_29,plain,
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_4,c_0_27]) ).
cnf(c_0_30,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),implies(implies(X4,X2),X3)))),
inference(spm,[status(thm)],[c_0_6,c_0_28]) ).
cnf(c_0_31,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_29,c_0_5]) ).
cnf(c_0_32,plain,
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(implies(X1,X1),X2),implies(implies(X3,X1),X2))) ),
inference(spm,[status(thm)],[c_0_4,c_0_30]) ).
cnf(c_0_33,plain,
( ~ is_a_theorem(implies(X2,implies(X2,X3)))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_4,c_0_31]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(implies(X3,X1),X2))),
inference(spm,[status(thm)],[c_0_32,c_0_5]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X2),X2))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_36,plain,
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(implies(X1,X1),X1),X1)) ),
inference(spm,[status(thm)],[c_0_4,c_0_35]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(implies(implies(X1,X1),X1),X1)),
inference(spm,[status(thm)],[c_0_36,c_0_5]) ).
cnf(c_0_38,plain,
( ~ is_a_theorem(implies(implies(X1,X1),X1))
| is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_37]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),
inference(spm,[status(thm)],[c_0_33,c_0_25]) ).
cnf(c_0_40,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_19]) ).
cnf(c_0_43,plain,
is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_38,c_0_40]) ).
cnf(c_0_44,plain,
( ~ is_a_theorem(implies(implies(X1,X2),X1))
| is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_41]) ).
cnf(c_0_45,plain,
( ~ is_a_theorem(implies(X4,X2))
| is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3)))) ),
inference(spm,[status(thm)],[c_0_6,c_0_42]) ).
cnf(c_0_46,plain,
( ~ is_a_theorem(implies(X1,implies(X1,X2)))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_43]) ).
cnf(c_0_47,plain,
( ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
( ~ is_a_theorem(implies(implies(X1,X2),X1))
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),X3)),
inference(spm,[status(thm)],[c_0_48,c_0_17]) ).
cnf(c_0_50,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(implies(X3,X2),X4)),implies(X3,implies(implies(X3,X2),X4))))),
inference(spm,[status(thm)],[c_0_6,c_0_41]) ).
cnf(c_0_51,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
inference(fof_simplification,[status(thm)],[prove_ic_5]) ).
cnf(c_0_52,plain,
( ~ is_a_theorem(implies(implies(X2,implies(X3,X2)),X1))
| is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_49]) ).
cnf(c_0_53,plain,
is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X2,implies(implies(X2,X1),X3)))),
inference(spm,[status(thm)],[c_0_44,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
c_0_51 ).
cnf(c_0_55,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL094-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:06:15 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 0.14/0.52 % Version: 3.5.1
% 0.14/0.52 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.52 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.52 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.52 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.52 % Starting sh5l with 300s (1) cores
% 0.14/0.52 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2972616 completed with status 0
% 0.14/0.52 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/0.52 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.52 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.52 % No SInE strategy applied
% 0.14/0.52 % Search class: FHUNF-FFSF22-MFFFFFNN
% 0.14/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.52 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.52 % Starting G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with 136s (1) cores
% 0.14/0.52 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.52 % Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.52 % U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 2972627 completed with status 0
% 0.14/0.52 % Result found by U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.52 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.52 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.52 % No SInE strategy applied
% 0.14/0.52 % Search class: FHUNF-FFSF22-MFFFFFNN
% 0.14/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.52 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.52 % Starting G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with 136s (1) cores
% 0.14/0.52 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.52 % Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.52 % Preprocessing time : 0.002 s
% 0.14/0.52 % Presaturation interreduction done
% 0.14/0.52
% 0.14/0.52 % Proof found!
% 0.14/0.52 % SZS status Unsatisfiable
% 0.14/0.52 % SZS output start CNFRefutation
% See solution above
% 0.14/0.52 % Parsed axioms : 3
% 0.14/0.52 % Removed by relevancy pruning/SinE : 0
% 0.14/0.52 % Initial clauses : 3
% 0.14/0.52 % Removed in clause preprocessing : 0
% 0.14/0.52 % Initial clauses in saturation : 3
% 0.14/0.52 % Processed clauses : 409
% 0.14/0.52 % ...of these trivial : 87
% 0.14/0.52 % ...subsumed : 120
% 0.14/0.52 % ...remaining for further processing : 202
% 0.14/0.52 % Other redundant clauses eliminated : 0
% 0.14/0.52 % Clauses deleted for lack of memory : 0
% 0.14/0.52 % Backward-subsumed : 4
% 0.14/0.52 % Backward-rewritten : 40
% 0.14/0.52 % Generated clauses : 2961
% 0.14/0.52 % ...of the previous two non-redundant : 1636
% 0.14/0.52 % ...aggressively subsumed : 0
% 0.14/0.52 % Contextual simplify-reflections : 0
% 0.14/0.52 % Paramodulations : 2961
% 0.14/0.52 % Factorizations : 0
% 0.14/0.52 % NegExts : 0
% 0.14/0.52 % Equation resolutions : 0
% 0.14/0.52 % Disequality decompositions : 0
% 0.14/0.52 % Total rewrite steps : 1427
% 0.14/0.52 % ...of those cached : 1166
% 0.14/0.52 % Propositional unsat checks : 0
% 0.14/0.52 % Propositional check models : 0
% 0.14/0.52 % Propositional check unsatisfiable : 0
% 0.14/0.52 % Propositional clauses : 0
% 0.14/0.52 % Propositional clauses after purity: 0
% 0.14/0.52 % Propositional unsat core size : 0
% 0.14/0.52 % Propositional preprocessing time : 0.000
% 0.14/0.52 % Propositional encoding time : 0.000
% 0.14/0.52 % Propositional solver time : 0.000
% 0.14/0.52 % Success case prop preproc time : 0.000
% 0.14/0.52 % Success case prop encoding time : 0.000
% 0.14/0.52 % Success case prop solver time : 0.000
% 0.14/0.52 % Current number of processed clauses : 155
% 0.14/0.52 % Positive orientable unit clauses : 117
% 0.14/0.52 % Positive unorientable unit clauses: 0
% 0.14/0.52 % Negative unit clauses : 3
% 0.14/0.52 % Non-unit-clauses : 35
% 0.14/0.52 % Current number of unprocessed clauses: 887
% 0.14/0.52 % ...number of literals in the above : 1168
% 0.14/0.52 % Current number of archived formulas : 0
% 0.14/0.52 % Current number of archived clauses : 47
% 0.14/0.52 % Clause-clause subsumption calls (NU) : 855
% 0.14/0.52 % Rec. Clause-clause subsumption calls : 855
% 0.14/0.52 % Non-unit clause-clause subsumptions : 122
% 0.14/0.52 % Unit Clause-clause subsumption calls : 381
% 0.14/0.52 % Rewrite failures with RHS unbound : 0
% 0.14/0.52 % BW rewrite match attempts : 7006
% 0.14/0.52 % BW rewrite match successes : 40
% 0.14/0.52 % Condensation attempts : 0
% 0.14/0.52 % Condensation successes : 0
% 0.14/0.52 % Termbank termtop insertions : 35443
% 0.14/0.52 % Search garbage collected termcells : 8
% 0.14/0.52
% 0.14/0.52 % -------------------------------------------------
% 0.14/0.52 % User time : 0.058 s
% 0.14/0.52 % System time : 0.010 s
% 0.14/0.52 % Total time : 0.068 s
% 0.14/0.52 % Maximum resident set size: 3632 pages
% 0.14/0.52
% 0.14/0.52 % -------------------------------------------------
% 0.14/0.52 % User time : 0.289 s
% 0.14/0.52 % System time : 0.032 s
% 0.14/0.52 % Total time : 0.321 s
% 0.14/0.52 % Maximum resident set size: 4608 pages
% 0.14/0.52 % E exiting
%------------------------------------------------------------------------------