%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL055-1 : 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 01:11:38 PM UTC 2026
% Result : Unsatisfiable 6.85s 6.41s
% Output : CNFRefutation 6.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 28 ( 16 unt; 0 nHn; 12 RR)
% Number of literals : 46 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 63 ( 13 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(cn_1,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(prove_cn_37,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_37) ).
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,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))),
inference(fof_simplification,[status(thm)],[prove_cn_37]) ).
cnf(c_0_21,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_22,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))),
c_0_20 ).
cnf(c_0_23,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_24,plain,
is_a_theorem(implies(not(X1),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
~ is_a_theorem(implies(not(a),implies(a,b))),
inference(spm,[status(thm)],[c_0_22,c_0_8]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(not(X1),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.36 % Computer : n020.cluster.edu
% 0.11/5.36 % Model : x86_64 x86_64
% 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.36 % Memory : 8046.5625MB
% 0.11/5.36 % OS : Linux 6.8.0-71-generic
% 0.11/5.36 % CPULimit : 300
% 0.11/5.36 % WCLimit : 300
% 0.11/5.36 % DateTime : Mon Sep 21 00:03:38 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 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
% 6.85/6.41 % Version: 3.5.1
% 6.85/6.41 % Preprocessing class: FSSSSMSSSSSNFFN.
% 6.85/6.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.85/6.41 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 6.85/6.41 % Starting new_bool_3 with 300s (1) cores
% 6.85/6.41 % Starting new_bool_1 with 300s (1) cores
% 6.85/6.41 % Starting sh5l with 300s (1) cores
% 6.85/6.41 % new_bool_3 with pid 1554425 completed with status 0
% 6.85/6.41 % Result found by new_bool_3
% 6.85/6.41 % Preprocessing class: FSSSSMSSSSSNFFN.
% 6.85/6.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.85/6.41 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 6.85/6.41 % Starting new_bool_3 with 300s (1) cores
% 6.85/6.41 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 6.85/6.41 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.85/6.41 % Search class: FHUNS-FFSF21-MFFFFFNN
% 6.85/6.41 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 6.85/6.41 % Starting SubtermCWHack with 31s (1) cores
% 6.85/6.41 % SubtermCWHack with pid 1554431 completed with status 0
% 6.85/6.41 % Result found by SubtermCWHack
% 6.85/6.41 % Preprocessing class: FSSSSMSSSSSNFFN.
% 6.85/6.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.85/6.41 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 6.85/6.41 % Starting new_bool_3 with 300s (1) cores
% 6.85/6.41 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 6.85/6.41 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.85/6.41 % Search class: FHUNS-FFSF21-MFFFFFNN
% 6.85/6.41 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 6.85/6.41 % Starting SubtermCWHack with 31s (1) cores
% 6.85/6.41 % Preprocessing time : 0.001 s
% 6.85/6.41
% 6.85/6.41 % Proof found!
% 6.85/6.41 % SZS status Unsatisfiable
% 6.85/6.41 % SZS output start CNFRefutation
% See solution above
% 6.85/6.41 % Parsed axioms : 5
% 6.85/6.41 % Removed by relevancy pruning/SinE : 0
% 6.85/6.41 % Initial clauses : 5
% 6.85/6.41 % Removed in clause preprocessing : 0
% 6.85/6.41 % Initial clauses in saturation : 5
% 6.85/6.41 % Processed clauses : 10386
% 6.85/6.41 % ...of these trivial : 255
% 6.85/6.41 % ...subsumed : 9109
% 6.85/6.41 % ...remaining for further processing : 1022
% 6.85/6.41 % Other redundant clauses eliminated : 0
% 6.85/6.41 % Clauses deleted for lack of memory : 0
% 6.85/6.41 % Backward-subsumed : 17
% 6.85/6.41 % Backward-rewritten : 3
% 6.85/6.41 % Generated clauses : 123239
% 6.85/6.41 % ...of the previous two non-redundant : 118145
% 6.85/6.41 % ...aggressively subsumed : 0
% 6.85/6.41 % Contextual simplify-reflections : 0
% 6.85/6.41 % Paramodulations : 123239
% 6.85/6.41 % Factorizations : 0
% 6.85/6.41 % NegExts : 0
% 6.85/6.41 % Equation resolutions : 0
% 6.85/6.41 % Disequality decompositions : 0
% 6.85/6.41 % Total rewrite steps : 5102
% 6.85/6.41 % ...of those cached : 4315
% 6.85/6.41 % Propositional unsat checks : 0
% 6.85/6.41 % Propositional check models : 0
% 6.85/6.41 % Propositional check unsatisfiable : 0
% 6.85/6.41 % Propositional clauses : 0
% 6.85/6.41 % Propositional clauses after purity: 0
% 6.85/6.41 % Propositional unsat core size : 0
% 6.85/6.41 % Propositional preprocessing time : 0.000
% 6.85/6.41 % Propositional encoding time : 0.000
% 6.85/6.41 % Propositional solver time : 0.000
% 6.85/6.41 % Success case prop preproc time : 0.000
% 6.85/6.41 % Success case prop encoding time : 0.000
% 6.85/6.41 % Success case prop solver time : 0.000
% 6.85/6.41 % Current number of processed clauses : 1002
% 6.85/6.41 % Positive orientable unit clauses : 91
% 6.85/6.41 % Positive unorientable unit clauses: 0
% 6.85/6.41 % Negative unit clauses : 10
% 6.85/6.41 % Non-unit-clauses : 901
% 6.85/6.41 % Current number of unprocessed clauses: 107733
% 6.85/6.41 % ...number of literals in the above : 349755
% 6.85/6.41 % Current number of archived formulas : 0
% 6.85/6.41 % Current number of archived clauses : 20
% 6.85/6.41 % Clause-clause subsumption calls (NU) : 200838
% 6.85/6.41 % Rec. Clause-clause subsumption calls : 189081
% 6.85/6.41 % Non-unit clause-clause subsumptions : 9108
% 6.85/6.41 % Unit Clause-clause subsumption calls : 6580
% 6.85/6.41 % Rewrite failures with RHS unbound : 0
% 6.85/6.41 % BW rewrite match attempts : 11706
% 6.85/6.41 % BW rewrite match successes : 3
% 6.85/6.41 % Condensation attempts : 0
% 6.85/6.41 % Condensation successes : 0
% 6.85/6.41 % Termbank termtop insertions : 2146995
% 6.85/6.41 % Search garbage collected termcells : 8
% 6.85/6.41
% 6.85/6.41 % -------------------------------------------------
% 6.85/6.41 % User time : 0.908 s
% 6.85/6.41 % System time : 0.044 s
% 6.85/6.41 % Total time : 0.953 s
% 6.85/6.41 % Maximum resident set size: 3632 pages
% 6.85/6.41
% 6.85/6.41 % -------------------------------------------------
% 6.85/6.41 % User time : 0.909 s
% 6.85/6.41 % System time : 0.050 s
% 6.85/6.41 % Total time : 0.958 s
% 6.85/6.41 % Maximum resident set size: 4864 pages
% 6.85/6.41 % E exiting
%------------------------------------------------------------------------------