%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL052-1 : 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 : n013.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 01:11:38 PM UTC 2026
% Result : Unsatisfiable 14.90s 2.38s
% Output : CNFRefutation 14.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of clauses : 29 ( 16 unt; 0 nHn; 12 RR)
% Number of literals : 48 ( 0 equ; 22 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 67 ( 14 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(cn_1,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(prove_cn_24,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_24) ).
cnf(c_0_5,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_6,plain,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
c_0_5 ).
cnf(c_0_7,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
cn_1 ).
cnf(c_0_8,plain,
( ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
( ~ is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X3,X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_10,plain,
( ~ is_a_theorem(implies(X2,X4))
| ~ is_a_theorem(implies(X1,implies(X4,X3)))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_11,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
cn_3 ).
cnf(c_0_12,plain,
( ~ is_a_theorem(implies(X1,implies(X4,X2)))
| is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_13,plain,
( ~ is_a_theorem(implies(X2,not(X1)))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
cn_2 ).
cnf(c_0_15,plain,
( ~ is_a_theorem(implies(X1,implies(X3,X5)))
| ~ is_a_theorem(implies(X2,implies(X5,X4)))
| is_a_theorem(implies(X1,implies(X2,implies(X3,X4)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(X1,implies(implies(not(not(X1)),not(X1)),X2))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( ~ is_a_theorem(implies(X1,implies(X3,not(X2))))
| is_a_theorem(implies(X1,implies(X2,implies(X3,X4)))) ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_18,plain,
( ~ is_a_theorem(implies(X1,implies(X3,implies(not(not(X2)),not(X2)))))
| is_a_theorem(implies(X1,implies(X2,implies(X3,X4)))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X1),X3)))),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(not(X1),implies(X1,implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
( ~ is_a_theorem(implies(X1,implies(not(X2),X2)))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_22,plain,
is_a_theorem(implies(not(X1),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(fof_simplification,[status(thm)],[prove_cn_24]) ).
cnf(c_0_24,plain,
( ~ is_a_theorem(implies(not(X2),X1))
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_8]) ).
cnf(c_0_25,plain,
is_a_theorem(implies(not(X1),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
c_0_23 ).
cnf(c_0_27,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL052-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 00:01:22 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 14.90/2.38 % Version: 3.5.1
% 14.90/2.38 % Preprocessing class: FSSSSMSSSSSNFFN.
% 14.90/2.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.90/2.38 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 14.90/2.38 % Starting new_bool_3 with 300s (1) cores
% 14.90/2.38 % Starting new_bool_1 with 300s (1) cores
% 14.90/2.38 % Starting sh5l with 300s (1) cores
% 14.90/2.38 % sh5l with pid 3733329 completed with status 0
% 14.90/2.38 % Result found by sh5l
% 14.90/2.38 % Preprocessing class: FSSSSMSSSSSNFFN.
% 14.90/2.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.90/2.38 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 14.90/2.38 % Starting new_bool_3 with 300s (1) cores
% 14.90/2.38 % Starting new_bool_1 with 300s (1) cores
% 14.90/2.38 % Starting sh5l with 300s (1) cores
% 14.90/2.38 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 14.90/2.38 % SinE strategy is gf500_gu_R04_F100_L20000
% 14.90/2.38 % Search class: FHUNS-FFSF21-MFFFFFNN
% 14.90/2.38 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 14.90/2.38 % Starting SubtermCWHack with 28s (1) cores
% 14.90/2.38 % SubtermCWHack with pid 3733336 completed with status 0
% 14.90/2.38 % Result found by SubtermCWHack
% 14.90/2.38 % Preprocessing class: FSSSSMSSSSSNFFN.
% 14.90/2.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.90/2.38 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 14.90/2.38 % Starting new_bool_3 with 300s (1) cores
% 14.90/2.38 % Starting new_bool_1 with 300s (1) cores
% 14.90/2.38 % Starting sh5l with 300s (1) cores
% 14.90/2.38 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 14.90/2.38 % SinE strategy is gf500_gu_R04_F100_L20000
% 14.90/2.38 % Search class: FHUNS-FFSF21-MFFFFFNN
% 14.90/2.38 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 14.90/2.38 % Starting SubtermCWHack with 28s (1) cores
% 14.90/2.38 % Preprocessing time : 0.001 s
% 14.90/2.38
% 14.90/2.38 % Proof found!
% 14.90/2.38 % SZS status Unsatisfiable
% 14.90/2.38 % SZS output start CNFRefutation
% See solution above
% 14.90/2.38 % Parsed axioms : 5
% 14.90/2.38 % Removed by relevancy pruning/SinE : 0
% 14.90/2.38 % Initial clauses : 5
% 14.90/2.38 % Removed in clause preprocessing : 0
% 14.90/2.38 % Initial clauses in saturation : 5
% 14.90/2.38 % Processed clauses : 10963
% 14.90/2.38 % ...of these trivial : 227
% 14.90/2.38 % ...subsumed : 9669
% 14.90/2.38 % ...remaining for further processing : 1067
% 14.90/2.38 % Other redundant clauses eliminated : 0
% 14.90/2.38 % Clauses deleted for lack of memory : 0
% 14.90/2.38 % Backward-subsumed : 16
% 14.90/2.38 % Backward-rewritten : 3
% 14.90/2.38 % Generated clauses : 132079
% 14.90/2.38 % ...of the previous two non-redundant : 126389
% 14.90/2.38 % ...aggressively subsumed : 0
% 14.90/2.38 % Contextual simplify-reflections : 0
% 14.90/2.38 % Paramodulations : 132079
% 14.90/2.38 % Factorizations : 0
% 14.90/2.38 % NegExts : 0
% 14.90/2.38 % Equation resolutions : 0
% 14.90/2.38 % Disequality decompositions : 0
% 14.90/2.38 % Total rewrite steps : 5527
% 14.90/2.38 % ...of those cached : 4709
% 14.90/2.38 % Propositional unsat checks : 0
% 14.90/2.38 % Propositional check models : 0
% 14.90/2.38 % Propositional check unsatisfiable : 0
% 14.90/2.38 % Propositional clauses : 0
% 14.90/2.38 % Propositional clauses after purity: 0
% 14.90/2.38 % Propositional unsat core size : 0
% 14.90/2.38 % Propositional preprocessing time : 0.000
% 14.90/2.38 % Propositional encoding time : 0.000
% 14.90/2.38 % Propositional solver time : 0.000
% 14.90/2.38 % Success case prop preproc time : 0.000
% 14.90/2.38 % Success case prop encoding time : 0.000
% 14.90/2.38 % Success case prop solver time : 0.000
% 14.90/2.38 % Current number of processed clauses : 1048
% 14.90/2.38 % Positive orientable unit clauses : 95
% 14.90/2.38 % Positive unorientable unit clauses: 0
% 14.90/2.38 % Negative unit clauses : 4
% 14.90/2.38 % Non-unit-clauses : 949
% 14.90/2.38 % Current number of unprocessed clauses: 115426
% 14.90/2.38 % ...number of literals in the above : 375422
% 14.90/2.38 % Current number of archived formulas : 0
% 14.90/2.38 % Current number of archived clauses : 19
% 14.90/2.38 % Clause-clause subsumption calls (NU) : 441573
% 14.90/2.38 % Rec. Clause-clause subsumption calls : 362948
% 14.90/2.38 % Non-unit clause-clause subsumptions : 9681
% 14.90/2.38 % Unit Clause-clause subsumption calls : 7528
% 14.90/2.38 % Rewrite failures with RHS unbound : 0
% 14.90/2.38 % BW rewrite match attempts : 11719
% 14.90/2.38 % BW rewrite match successes : 3
% 14.90/2.38 % Condensation attempts : 0
% 14.90/2.38 % Condensation successes : 0
% 14.90/2.38 % Termbank termtop insertions : 2314734
% 14.90/2.38 % Search garbage collected termcells : 8
% 14.90/2.38
% 14.90/2.38 % -------------------------------------------------
% 14.90/2.38 % User time : 1.847 s
% 14.90/2.38 % System time : 0.074 s
% 14.90/2.38 % Total time : 1.921 s
% 14.90/2.38 % Maximum resident set size: 3632 pages
% 14.90/2.38
% 14.90/2.38 % -------------------------------------------------
% 14.90/2.38 % User time : 1.850 s
% 14.90/2.38 % System time : 0.078 s
% 14.90/2.38 % Total time : 1.928 s
% 14.90/2.38 % Maximum resident set size: 4608 pages
% 14.90/2.38 % E exiting
%------------------------------------------------------------------------------