%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL047-1 : 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 : n011.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 01:11:37 PM UTC 2026
% Result : Unsatisfiable 14.34s 2.81s
% Output : CNFRefutation 14.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of clauses : 47 ( 20 unt; 0 nHn; 17 RR)
% Number of literals : 84 ( 0 equ; 40 neg)
% Maximal clause size : 4 ( 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 : 112 ( 23 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_18,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_18) ).
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,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
cn_3 ).
cnf(c_0_9,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_10,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_11,plain,
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(X1,X2),implies(not(X3),X2))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(implies(X4,X2),X3))) ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_13,plain,
is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_14,plain,
( ~ is_a_theorem(X4)
| ~ is_a_theorem(implies(implies(not(X4),X2),X3))
| is_a_theorem(implies(implies(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_6,c_0_12]) ).
cnf(c_0_15,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
cn_2 ).
cnf(c_0_16,plain,
( ~ is_a_theorem(implies(implies(not(X1),X3),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_13]) ).
cnf(c_0_17,plain,
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(spm,[status(thm)],[c_0_9,c_0_18]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2))),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_21,plain,
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X4,X2),X3))) ),
inference(spm,[status(thm)],[c_0_9,c_0_19]) ).
cnf(c_0_22,plain,
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(not(X1),X1),X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_20]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4))),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_24,plain,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X4,X2),X3))
| is_a_theorem(implies(implies(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_6,c_0_21]) ).
cnf(c_0_25,plain,
is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1)),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_26,plain,
( ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))
| is_a_theorem(implies(implies(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_6,c_0_23]) ).
cnf(c_0_27,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(X1,implies(not(X2),X2)),X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( ~ is_a_theorem(implies(X2,X1))
| is_a_theorem(implies(implies(not(X1),X2),X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_15]) ).
cnf(c_0_30,plain,
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(not(X1),implies(X2,X1)),X1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,plain,
( ~ is_a_theorem(X2)
| ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(X1,implies(X2,X3)),X3)) ),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
cnf(c_0_32,plain,
( ~ is_a_theorem(implies(X2,X4))
| is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4)))) ),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_33,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_34,plain,
( ~ is_a_theorem(X3)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,implies(X3,X1)))
| is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_31]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X1,X3))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_34,c_0_7]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X1),X3)))),
inference(spm,[status(thm)],[c_0_16,c_0_35]) ).
cnf(c_0_38,plain,
( ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,implies(not(X1),X1)))
| is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_27]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X3,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_40,plain,
( ~ is_a_theorem(implies(implies(X3,implies(not(X1),X4)),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
inference(fof_simplification,[status(thm)],[prove_cn_18]) ).
cnf(c_0_42,plain,
( ~ is_a_theorem(implies(X1,implies(not(X2),X2)))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
c_0_41 ).
cnf(c_0_45,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL047-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.65 % Computer : n011.cluster.edu
% 0.16/0.65 % Model : x86_64 x86_64
% 0.16/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.65 % Memory : 8046.5625MB
% 0.16/0.65 % OS : Linux 6.8.0-71-generic
% 0.16/0.65 % CPULimit : 300
% 0.16/0.65 % WCLimit : 300
% 0.16/0.65 % DateTime : Mon Sep 21 00:01:26 UTC 2026
% 0.16/0.65 % CPUTime :
% 0.16/0.65 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.72 Running first-order theorem proving
% 0.21/0.72 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
% 14.34/2.81 % Version: 3.5.1
% 14.34/2.81 % Preprocessing class: FSSSSMSSSSSNFFN.
% 14.34/2.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.34/2.81 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 14.34/2.81 % Starting new_bool_3 with 300s (1) cores
% 14.34/2.81 % Starting new_bool_1 with 300s (1) cores
% 14.34/2.81 % Starting sh5l with 300s (1) cores
% 14.34/2.81 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 529526 completed with status 0
% 14.34/2.81 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 14.34/2.81 % Preprocessing class: FSSSSMSSSSSNFFN.
% 14.34/2.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.34/2.81 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 14.34/2.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 14.34/2.81 % No SInE strategy applied
% 14.34/2.81 % Search class: FHUNS-FFSF21-MFFFFFNN
% 14.34/2.81 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 14.34/2.81 % Starting SubtermCWHack with 136s (1) cores
% 14.34/2.81 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 14.34/2.81 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 14.34/2.81 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 14.34/2.81 % Starting new_bool_3 with 136s (1) cores
% 14.34/2.81 % new_bool_3 with pid 529537 completed with status 0
% 14.34/2.81 % Result found by new_bool_3
% 14.34/2.81 % Preprocessing class: FSSSSMSSSSSNFFN.
% 14.34/2.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.34/2.81 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 14.34/2.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 14.34/2.81 % No SInE strategy applied
% 14.34/2.81 % Search class: FHUNS-FFSF21-MFFFFFNN
% 14.34/2.81 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 14.34/2.81 % Starting SubtermCWHack with 136s (1) cores
% 14.34/2.81 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 14.34/2.81 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 14.34/2.81 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 14.34/2.81 % Starting new_bool_3 with 136s (1) cores
% 14.34/2.81 % Preprocessing time : 0.002 s
% 14.34/2.81 % Presaturation interreduction done
% 14.34/2.81
% 14.34/2.81 % Proof found!
% 14.34/2.81 % SZS status Unsatisfiable
% 14.34/2.81 % SZS output start CNFRefutation
% See solution above
% 14.34/2.81 % Parsed axioms : 5
% 14.34/2.81 % Removed by relevancy pruning/SinE : 0
% 14.34/2.81 % Initial clauses : 5
% 14.34/2.81 % Removed in clause preprocessing : 0
% 14.34/2.81 % Initial clauses in saturation : 5
% 14.34/2.81 % Processed clauses : 6000
% 14.34/2.81 % ...of these trivial : 122
% 14.34/2.81 % ...subsumed : 5031
% 14.34/2.81 % ...remaining for further processing : 847
% 14.34/2.81 % Other redundant clauses eliminated : 0
% 14.34/2.81 % Clauses deleted for lack of memory : 0
% 14.34/2.81 % Backward-subsumed : 32
% 14.34/2.81 % Backward-rewritten : 12
% 14.34/2.81 % Generated clauses : 82003
% 14.34/2.81 % ...of the previous two non-redundant : 67957
% 14.34/2.81 % ...aggressively subsumed : 0
% 14.34/2.81 % Contextual simplify-reflections : 0
% 14.34/2.81 % Paramodulations : 82003
% 14.34/2.81 % Factorizations : 0
% 14.34/2.81 % NegExts : 0
% 14.34/2.81 % Equation resolutions : 0
% 14.34/2.81 % Disequality decompositions : 0
% 14.34/2.81 % Total rewrite steps : 13682
% 14.34/2.81 % ...of those cached : 12035
% 14.34/2.81 % Propositional unsat checks : 0
% 14.34/2.81 % Propositional check models : 0
% 14.34/2.81 % Propositional check unsatisfiable : 0
% 14.34/2.81 % Propositional clauses : 0
% 14.34/2.81 % Propositional clauses after purity: 0
% 14.34/2.81 % Propositional unsat core size : 0
% 14.34/2.81 % Propositional preprocessing time : 0.000
% 14.34/2.81 % Propositional encoding time : 0.000
% 14.34/2.81 % Propositional solver time : 0.000
% 14.34/2.81 % Success case prop preproc time : 0.000
% 14.34/2.81 % Success case prop encoding time : 0.000
% 14.34/2.81 % Success case prop solver time : 0.000
% 14.34/2.81 % Current number of processed clauses : 798
% 14.34/2.81 % Positive orientable unit clauses : 265
% 14.34/2.81 % Positive unorientable unit clauses: 0
% 14.34/2.81 % Negative unit clauses : 2
% 14.34/2.81 % Non-unit-clauses : 531
% 14.34/2.81 % Current number of unprocessed clauses: 61899
% 14.34/2.81 % ...number of literals in the above : 105473
% 14.34/2.81 % Current number of archived formulas : 0
% 14.34/2.81 % Current number of archived clauses : 49
% 14.34/2.81 % Clause-clause subsumption calls (NU) : 145640
% 14.34/2.81 % Rec. Clause-clause subsumption calls : 120164
% 14.34/2.81 % Non-unit clause-clause subsumptions : 5060
% 14.34/2.81 % Unit Clause-clause subsumption calls : 2199
% 14.34/2.81 % Rewrite failures with RHS unbound : 0
% 14.34/2.81 % BW rewrite match attempts : 42176
% 14.34/2.81 % BW rewrite match successes : 14
% 14.34/2.81 % Condensation attempts : 0
% 14.34/2.81 % Condensation successes : 0
% 14.34/2.81 % Termbank termtop insertions : 1239435
% 14.34/2.81 % Search garbage collected termcells : 8
% 14.34/2.81
% 14.34/2.81 % -------------------------------------------------
% 14.34/2.81 % User time : 1.929 s
% 14.34/2.81 % System time : 0.076 s
% 14.34/2.81 % Total time : 2.005 s
% 14.34/2.81 % Maximum resident set size: 3632 pages
% 14.34/2.81
% 14.34/2.81 % -------------------------------------------------
% 14.34/2.81 % User time : 9.740 s
% 14.34/2.81 % System time : 0.373 s
% 14.34/2.81 % Total time : 10.113 s
% 14.34/2.81 % Maximum resident set size: 4864 pages
% 14.34/2.81 % E exiting
%------------------------------------------------------------------------------