%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL050-1 : 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 01:11:37 PM UTC 2026
% Result : Unsatisfiable 18.25s 3.16s
% Output : CNFRefutation 18.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of clauses : 59 ( 23 unt; 0 nHn; 22 RR)
% Number of literals : 107 ( 0 equ; 53 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 : 141 ( 33 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_2,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_21,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_21) ).
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,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)),
cn_2 ).
cnf(c_0_11,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_12,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))),
cn_3 ).
cnf(c_0_13,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_10]) ).
cnf(c_0_14,plain,
( ~ is_a_theorem(implies(X2,not(X1)))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( ~ is_a_theorem(implies(not(X2),not(X1)))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_12]) ).
cnf(c_0_17,plain,
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X1,implies(not(X2),X3))) ),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_19,plain,
( ~ is_a_theorem(implies(not(X2),X1))
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_20,plain,
( ~ is_a_theorem(implies(X4,X3))
| ~ is_a_theorem(implies(X2,X4))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_21,plain,
( ~ is_a_theorem(implies(X4,X2))
| ~ is_a_theorem(implies(X1,X4))
| is_a_theorem(implies(X1,implies(not(X2),X3))) ),
inference(spm,[status(thm)],[c_0_9,c_0_18]) ).
cnf(c_0_22,plain,
( ~ is_a_theorem(implies(not(X2),X3))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_19]) ).
cnf(c_0_23,plain,
( ~ is_a_theorem(implies(implies(not(X2),X4),X3))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_24,plain,
is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1)),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_25,plain,
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(not(X1),X1),implies(not(X2),X3))) ),
inference(spm,[status(thm)],[c_0_21,c_0_10]) ).
cnf(c_0_26,plain,
( ~ is_a_theorem(implies(not(implies(X1,X3)),implies(X2,X3)))
| is_a_theorem(implies(implies(X1,X2),implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_27,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( ~ is_a_theorem(implies(not(X1),X1))
| is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_29,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_30,plain,
( ~ is_a_theorem(X4)
| ~ is_a_theorem(implies(X4,X3))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_31,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_32,plain,
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(not(X1),X1),X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
cnf(c_0_33,plain,
( ~ is_a_theorem(implies(implies(not(X1),X4),X2))
| is_a_theorem(implies(X1,implies(not(X2),X3))) ),
inference(spm,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_34,plain,
( ~ is_a_theorem(implies(implies(implies(X3,X5),implies(X2,X5)),X4))
| is_a_theorem(implies(X1,implies(implies(X2,X3),X4))) ),
inference(spm,[status(thm)],[c_0_20,c_0_7]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_36,plain,
( ~ is_a_theorem(implies(not(implies(implies(X1,X2),implies(X3,X2))),implies(X3,X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,plain,
( ~ is_a_theorem(X3)
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(X1,implies(not(X3),X3)))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_32]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(X1,implies(not(implies(not(X1),X2)),X3))),
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_40,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),X3),implies(implies(X3,X2),X2)))),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
inference(fof_simplification,[status(thm)],[prove_cn_21]) ).
cnf(c_0_42,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( ~ is_a_theorem(implies(implies(not(X1),X3),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1))),
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_45,plain,
( ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_18]) ).
cnf(c_0_46,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
c_0_41 ).
cnf(c_0_47,plain,
( ~ is_a_theorem(implies(X3,implies(X2,X4)))
| is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4)))) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_48,plain,
( ~ is_a_theorem(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_42]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(X1,implies(implies(X2,X1),X1))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
( ~ is_a_theorem(implies(not(X1),X1))
| is_a_theorem(implies(not(X1),X2)) ),
inference(spm,[status(thm)],[c_0_45,c_0_10]) ).
cnf(c_0_51,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_23,c_0_10]) ).
cnf(c_0_52,negated_conjecture,
~ is_a_theorem(implies(b,implies(implies(b,c),c))),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
( ~ is_a_theorem(implies(X1,implies(not(X3),X2)))
| is_a_theorem(implies(X1,implies(implies(X2,X3),X3))) ),
inference(spm,[status(thm)],[c_0_9,c_0_44]) ).
cnf(c_0_54,plain,
( ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X1,implies(X2,X1))) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,plain,
is_a_theorem(implies(not(implies(X1,X1)),X2)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
~ is_a_theorem(implies(b,implies(not(c),b))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL050-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 23:57:13 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 18.25/3.16 % Version: 3.5.1
% 18.25/3.16 % Preprocessing class: FSSSSMSSSSSNFFN.
% 18.25/3.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.25/3.16 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 18.25/3.16 % Starting new_bool_3 with 300s (1) cores
% 18.25/3.16 % Starting new_bool_1 with 300s (1) cores
% 18.25/3.16 % Starting sh5l with 300s (1) cores
% 18.25/3.16 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 973450 completed with status 0
% 18.25/3.16 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 18.25/3.16 % Preprocessing class: FSSSSMSSSSSNFFN.
% 18.25/3.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.25/3.16 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 18.25/3.16 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.25/3.16 % No SInE strategy applied
% 18.25/3.16 % Search class: FHUNS-FFSF21-MFFFFFNN
% 18.25/3.16 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 18.25/3.16 % Starting SubtermCWHack with 136s (1) cores
% 18.25/3.16 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 18.25/3.16 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 18.25/3.16 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 18.25/3.16 % Starting new_bool_3 with 136s (1) cores
% 18.25/3.16 % H----_011_C07_F1_PI_SE_SP_S0V with pid 973460 completed with status 0
% 18.25/3.16 % Result found by H----_011_C07_F1_PI_SE_SP_S0V
% 18.25/3.16 % Preprocessing class: FSSSSMSSSSSNFFN.
% 18.25/3.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.25/3.16 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 18.25/3.16 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.25/3.16 % No SInE strategy applied
% 18.25/3.16 % Search class: FHUNS-FFSF21-MFFFFFNN
% 18.25/3.16 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 18.25/3.16 % Starting SubtermCWHack with 136s (1) cores
% 18.25/3.16 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 18.25/3.16 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 18.25/3.16 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 18.25/3.16 % Preprocessing time : 0.001 s
% 18.25/3.16
% 18.25/3.16 % Proof found!
% 18.25/3.16 % SZS status Unsatisfiable
% 18.25/3.16 % SZS output start CNFRefutation
% See solution above
% 18.25/3.16 % Parsed axioms : 5
% 18.25/3.16 % Removed by relevancy pruning/SinE : 0
% 18.25/3.16 % Initial clauses : 5
% 18.25/3.16 % Removed in clause preprocessing : 0
% 18.25/3.16 % Initial clauses in saturation : 5
% 18.25/3.16 % Processed clauses : 30066
% 18.25/3.16 % ...of these trivial : 504
% 18.25/3.16 % ...subsumed : 27473
% 18.25/3.16 % ...remaining for further processing : 2089
% 18.25/3.16 % Other redundant clauses eliminated : 0
% 18.25/3.16 % Clauses deleted for lack of memory : 0
% 18.25/3.16 % Backward-subsumed : 145
% 18.25/3.16 % Backward-rewritten : 25
% 18.25/3.16 % Generated clauses : 218427
% 18.25/3.16 % ...of the previous two non-redundant : 208743
% 18.25/3.16 % ...aggressively subsumed : 0
% 18.25/3.16 % Contextual simplify-reflections : 0
% 18.25/3.16 % Paramodulations : 218427
% 18.25/3.16 % Factorizations : 0
% 18.25/3.16 % NegExts : 0
% 18.25/3.16 % Equation resolutions : 0
% 18.25/3.16 % Disequality decompositions : 0
% 18.25/3.16 % Total rewrite steps : 10393
% 18.25/3.16 % ...of those cached : 9098
% 18.25/3.16 % Propositional unsat checks : 0
% 18.25/3.16 % Propositional check models : 0
% 18.25/3.16 % Propositional check unsatisfiable : 0
% 18.25/3.16 % Propositional clauses : 0
% 18.25/3.16 % Propositional clauses after purity: 0
% 18.25/3.16 % Propositional unsat core size : 0
% 18.25/3.16 % Propositional preprocessing time : 0.000
% 18.25/3.16 % Propositional encoding time : 0.000
% 18.25/3.16 % Propositional solver time : 0.000
% 18.25/3.16 % Success case prop preproc time : 0.000
% 18.25/3.16 % Success case prop encoding time : 0.000
% 18.25/3.16 % Success case prop solver time : 0.000
% 18.25/3.16 % Current number of processed clauses : 1919
% 18.25/3.16 % Positive orientable unit clauses : 180
% 18.25/3.16 % Positive unorientable unit clauses: 0
% 18.25/3.16 % Negative unit clauses : 68
% 18.25/3.16 % Non-unit-clauses : 1671
% 18.25/3.16 % Current number of unprocessed clauses: 178501
% 18.25/3.16 % ...number of literals in the above : 589387
% 18.25/3.16 % Current number of archived formulas : 0
% 18.25/3.16 % Current number of archived clauses : 170
% 18.25/3.16 % Clause-clause subsumption calls (NU) : 1703460
% 18.25/3.16 % Rec. Clause-clause subsumption calls : 853699
% 18.25/3.16 % Non-unit clause-clause subsumptions : 23953
% 18.25/3.16 % Unit Clause-clause subsumption calls : 16009
% 18.25/3.16 % Rewrite failures with RHS unbound : 0
% 18.25/3.16 % BW rewrite match attempts : 32152
% 18.25/3.16 % BW rewrite match successes : 11
% 18.25/3.16 % Condensation attempts : 0
% 18.25/3.16 % Condensation successes : 0
% 18.25/3.16 % Termbank termtop insertions : 3549067
% 18.25/3.16 % Search garbage collected termcells : 8
% 18.25/3.16
% 18.25/3.16 % -------------------------------------------------
% 18.25/3.16 % User time : 2.447 s
% 18.25/3.16 % System time : 0.091 s
% 18.25/3.16 % Total time : 2.539 s
% 18.25/3.16 % Maximum resident set size: 3632 pages
% 18.25/3.16
% 18.25/3.16 % -------------------------------------------------
% 18.25/3.16 % User time : 12.520 s
% 18.25/3.16 % System time : 0.517 s
% 18.25/3.16 % Total time : 13.036 s
% 18.25/3.16 % Maximum resident set size: 4608 pages
% 18.25/3.16 % E exiting
%------------------------------------------------------------------------------