%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL035-1 : 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 : n017.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 01:11:35 PM UTC 2026
% Result : Unsatisfiable 0.19s 5.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of clauses : 21 ( 13 unt; 0 nHn; 9 RR)
% Number of literals : 32 ( 0 equ; 14 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 : 53 ( 32 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(c0_CAMeredith,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_CAMeredith) ).
cnf(prove_c0_4,negated_conjecture,
~ is_a_theorem(implies(falsehood,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_4) ).
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(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1)))),
c0_CAMeredith ).
cnf(c_0_6,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X2,X4),implies(X3,falsehood)),X5),X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,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_6,c_0_5]) ).
cnf(c_0_8,plain,
is_a_theorem(implies(implies(implies(X1,implies(falsehood,X2)),X3),implies(X4,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
( ~ is_a_theorem(implies(implies(X3,implies(falsehood,X4)),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_4,c_0_8]) ).
cnf(c_0_10,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(falsehood,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_11,plain,
is_a_theorem(implies(X1,implies(X2,implies(falsehood,X3)))),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_12,plain,
( ~ is_a_theorem(implies(implies(X2,X3),X1))
| is_a_theorem(implies(falsehood,X1)) ),
inference(spm,[status(thm)],[c_0_4,c_0_10]) ).
cnf(c_0_13,plain,
( ~ is_a_theorem(X3)
| is_a_theorem(implies(X1,implies(falsehood,X2))) ),
inference(spm,[status(thm)],[c_0_4,c_0_11]) ).
cnf(c_0_14,plain,
is_a_theorem(implies(falsehood,implies(X1,X2))),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_15,plain,
is_a_theorem(implies(X1,implies(falsehood,X2))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
~ is_a_theorem(implies(falsehood,a)),
inference(fof_simplification,[status(thm)],[prove_c0_4]) ).
cnf(c_0_17,plain,
( ~ is_a_theorem(X2)
| is_a_theorem(implies(falsehood,X1)) ),
inference(spm,[status(thm)],[c_0_4,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
~ is_a_theorem(implies(falsehood,a)),
c_0_16 ).
cnf(c_0_19,plain,
is_a_theorem(implies(falsehood,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL035-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.41 % Computer : n017.cluster.edu
% 0.15/5.41 % Model : x86_64 x86_64
% 0.15/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.41 % Memory : 8046.5625MB
% 0.15/5.41 % OS : Linux 6.8.0-71-generic
% 0.15/5.41 % CPULimit : 300
% 0.15/5.41 % WCLimit : 300
% 0.15/5.41 % DateTime : Sun Sep 20 23:56:17 UTC 2026
% 0.15/5.41 % CPUTime :
% 0.15/5.41 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.48 Running first-order theorem proving
% 0.15/5.49 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
% 0.19/5.51 % Version: 3.5.1
% 0.19/5.51 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/5.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/5.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/5.51 % Starting new_bool_3 with 300s (1) cores
% 0.19/5.51 % Starting new_bool_1 with 300s (1) cores
% 0.19/5.51 % Starting sh5l with 300s (1) cores
% 0.19/5.51 % new_bool_3 with pid 971877 completed with status 0
% 0.19/5.51 % Result found by new_bool_3
% 0.19/5.51 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/5.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/5.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/5.51 % Starting new_bool_3 with 300s (1) cores
% 0.19/5.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/5.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/5.51 % Search class: FHUNF-FFSF22-MFFFFFNN
% 0.19/5.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/5.51 % Starting SubtermCWHack with 31s (1) cores
% 0.19/5.51 % SubtermCWHack with pid 971883 completed with status 0
% 0.19/5.51 % Result found by SubtermCWHack
% 0.19/5.51 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/5.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/5.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/5.51 % Starting new_bool_3 with 300s (1) cores
% 0.19/5.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/5.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/5.51 % Search class: FHUNF-FFSF22-MFFFFFNN
% 0.19/5.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/5.51 % Starting SubtermCWHack with 31s (1) cores
% 0.19/5.51 % Preprocessing time : 0.001 s
% 0.19/5.51
% 0.19/5.51 % Proof found!
% 0.19/5.51 % SZS status Unsatisfiable
% 0.19/5.51 % SZS output start CNFRefutation
% See solution above
% 0.19/5.51 % Parsed axioms : 3
% 0.19/5.51 % Removed by relevancy pruning/SinE : 0
% 0.19/5.51 % Initial clauses : 3
% 0.19/5.51 % Removed in clause preprocessing : 0
% 0.19/5.51 % Initial clauses in saturation : 3
% 0.19/5.51 % Processed clauses : 32
% 0.19/5.51 % ...of these trivial : 5
% 0.19/5.51 % ...subsumed : 2
% 0.19/5.51 % ...remaining for further processing : 25
% 0.19/5.51 % Other redundant clauses eliminated : 0
% 0.19/5.51 % Clauses deleted for lack of memory : 0
% 0.19/5.51 % Backward-subsumed : 2
% 0.19/5.51 % Backward-rewritten : 7
% 0.19/5.51 % Generated clauses : 87
% 0.19/5.51 % ...of the previous two non-redundant : 69
% 0.19/5.51 % ...aggressively subsumed : 0
% 0.19/5.51 % Contextual simplify-reflections : 0
% 0.19/5.51 % Paramodulations : 87
% 0.19/5.51 % Factorizations : 0
% 0.19/5.51 % NegExts : 0
% 0.19/5.51 % Equation resolutions : 0
% 0.19/5.51 % Disequality decompositions : 0
% 0.19/5.51 % Total rewrite steps : 28
% 0.19/5.51 % ...of those cached : 8
% 0.19/5.51 % Propositional unsat checks : 0
% 0.19/5.51 % Propositional check models : 0
% 0.19/5.51 % Propositional check unsatisfiable : 0
% 0.19/5.51 % Propositional clauses : 0
% 0.19/5.51 % Propositional clauses after purity: 0
% 0.19/5.51 % Propositional unsat core size : 0
% 0.19/5.51 % Propositional preprocessing time : 0.000
% 0.19/5.51 % Propositional encoding time : 0.000
% 0.19/5.51 % Propositional solver time : 0.000
% 0.19/5.51 % Success case prop preproc time : 0.000
% 0.19/5.51 % Success case prop encoding time : 0.000
% 0.19/5.51 % Success case prop solver time : 0.000
% 0.19/5.51 % Current number of processed clauses : 16
% 0.19/5.51 % Positive orientable unit clauses : 9
% 0.19/5.51 % Positive unorientable unit clauses: 0
% 0.19/5.51 % Negative unit clauses : 2
% 0.19/5.51 % Non-unit-clauses : 5
% 0.19/5.51 % Current number of unprocessed clauses: 23
% 0.19/5.51 % ...number of literals in the above : 29
% 0.19/5.51 % Current number of archived formulas : 0
% 0.19/5.51 % Current number of archived clauses : 9
% 0.19/5.51 % Clause-clause subsumption calls (NU) : 14
% 0.19/5.51 % Rec. Clause-clause subsumption calls : 14
% 0.19/5.51 % Non-unit clause-clause subsumptions : 3
% 0.19/5.51 % Unit Clause-clause subsumption calls : 7
% 0.19/5.51 % Rewrite failures with RHS unbound : 0
% 0.19/5.51 % BW rewrite match attempts : 71
% 0.19/5.51 % BW rewrite match successes : 7
% 0.19/5.51 % Condensation attempts : 0
% 0.19/5.51 % Condensation successes : 0
% 0.19/5.51 % Termbank termtop insertions : 1020
% 0.19/5.51 % Search garbage collected termcells : 8
% 0.19/5.51
% 0.19/5.51 % -------------------------------------------------
% 0.19/5.51 % User time : 0.004 s
% 0.19/5.51 % System time : 0.002 s
% 0.19/5.51 % Total time : 0.006 s
% 0.19/5.51 % Maximum resident set size: 3632 pages
% 0.19/5.51
% 0.19/5.51 % -------------------------------------------------
% 0.19/5.51 % User time : 0.005 s
% 0.19/5.51 % System time : 0.009 s
% 0.19/5.51 % Total time : 0.014 s
% 0.19/5.51 % Maximum resident set size: 4608 pages
% 0.19/5.51 % E exiting
%------------------------------------------------------------------------------