%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL368-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:12:31 PM UTC 2026
% Result : Unsatisfiable 40.53s 6.57s
% Output : CNFRefutation 40.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of clauses : 58 ( 25 unt; 0 nHn; 23 RR)
% Number of literals : 103 ( 0 equ; 51 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 133 ( 27 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_23,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_23) ).
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(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_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(X4)
| ~ is_a_theorem(implies(X4,X3))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_21,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_22,plain,
( ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(not(X1),X2))
| is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_19]) ).
cnf(c_0_23,plain,
( ~ is_a_theorem(X3)
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(X2,X3),X1))
| is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(spm,[status(thm)],[c_0_24,c_0_7]) ).
cnf(c_0_26,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
cnf(c_0_27,plain,
( ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_26]) ).
cnf(c_0_28,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_29,plain,
( ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_27,c_0_8]) ).
cnf(c_0_30,plain,
( ~ is_a_theorem(implies(implies(not(X2),X4),X3))
| is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_18,c_0_12]) ).
cnf(c_0_31,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_32,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_28]) ).
cnf(c_0_33,plain,
( ~ is_a_theorem(implies(not(X1),X1))
| is_a_theorem(implies(implies(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_29,c_0_10]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2))),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( ~ is_a_theorem(implies(implies(implies(X2,X5),implies(X1,X5)),X3))
| is_a_theorem(implies(implies(X1,X2),implies(not(X3),X4))) ),
inference(spm,[status(thm)],[c_0_32,c_0_7]) ).
cnf(c_0_36,plain,
is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),X2)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,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_38,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_39,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(not(implies(X1,X2)),X3))),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,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_37,c_0_38]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X2),X3)))),
inference(spm,[status(thm)],[c_0_30,c_0_21]) ).
cnf(c_0_42,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_13,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
inference(fof_simplification,[status(thm)],[prove_cn_23]) ).
cnf(c_0_44,plain,
is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(not(implies(implies(X2,X1),X1)),X3))),
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))),
c_0_43 ).
cnf(c_0_47,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_44]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1))),
inference(spm,[status(thm)],[c_0_13,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
~ is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z)))),
inference(spm,[status(thm)],[c_0_46,c_0_8]) ).
cnf(c_0_50,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_51,plain,
is_a_theorem(implies(X1,implies(implies(X2,X1),X1))),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
~ is_a_theorem(implies(x,implies(implies(x,z),z))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
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_48]) ).
cnf(c_0_54,plain,
( ~ is_a_theorem(implies(X2,implies(X3,X1)))
| is_a_theorem(implies(X1,implies(X2,X1))) ),
inference(spm,[status(thm)],[c_0_11,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
~ is_a_theorem(implies(x,implies(not(z),x))),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_54,c_0_12]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL368-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.57 % Computer : n026.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Mon Sep 21 00:26:52 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.64 Running first-order theorem proving
% 0.14/0.64 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
% 40.53/6.57 % Version: 3.5.1
% 40.53/6.57 % Preprocessing class: FSSSSMSSSSSNFFN.
% 40.53/6.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 40.53/6.57 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 40.53/6.57 % Starting new_bool_3 with 300s (1) cores
% 40.53/6.57 % Starting new_bool_1 with 300s (1) cores
% 40.53/6.57 % Starting sh5l with 300s (1) cores
% 40.53/6.57 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 970493 completed with status 0
% 40.53/6.57 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 40.53/6.57 % Preprocessing class: FSSSSMSSSSSNFFN.
% 40.53/6.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 40.53/6.57 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 40.53/6.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 40.53/6.57 % No SInE strategy applied
% 40.53/6.57 % Search class: FHUNS-FFSF21-MFFFFFNN
% 40.53/6.57 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 40.53/6.57 % Starting SubtermCWHack with 136s (1) cores
% 40.53/6.57 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 40.53/6.57 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 40.53/6.57 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 40.53/6.57 % Starting new_bool_3 with 136s (1) cores
% 40.53/6.57 % H----_011_C07_F1_PI_SE_SP_S0V with pid 970500 completed with status 0
% 40.53/6.57 % Result found by H----_011_C07_F1_PI_SE_SP_S0V
% 40.53/6.57 % Preprocessing class: FSSSSMSSSSSNFFN.
% 40.53/6.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 40.53/6.57 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 40.53/6.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 40.53/6.57 % No SInE strategy applied
% 40.53/6.57 % Search class: FHUNS-FFSF21-MFFFFFNN
% 40.53/6.57 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 40.53/6.57 % Starting SubtermCWHack with 136s (1) cores
% 40.53/6.57 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 40.53/6.57 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 40.53/6.57 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 40.53/6.57 % Preprocessing time : 0.002 s
% 40.53/6.57
% 40.53/6.57 % Proof found!
% 40.53/6.57 % SZS status Unsatisfiable
% 40.53/6.57 % SZS output start CNFRefutation
% See solution above
% 40.53/6.57 % Parsed axioms : 5
% 40.53/6.57 % Removed by relevancy pruning/SinE : 0
% 40.53/6.57 % Initial clauses : 5
% 40.53/6.57 % Removed in clause preprocessing : 0
% 40.53/6.57 % Initial clauses in saturation : 5
% 40.53/6.57 % Processed clauses : 39367
% 40.53/6.57 % ...of these trivial : 425
% 40.53/6.57 % ...subsumed : 35757
% 40.53/6.57 % ...remaining for further processing : 3185
% 40.53/6.57 % Other redundant clauses eliminated : 0
% 40.53/6.57 % Clauses deleted for lack of memory : 0
% 40.53/6.57 % Backward-subsumed : 671
% 40.53/6.57 % Backward-rewritten : 64
% 40.53/6.57 % Generated clauses : 167404
% 40.53/6.57 % ...of the previous two non-redundant : 160065
% 40.53/6.57 % ...aggressively subsumed : 0
% 40.53/6.57 % Contextual simplify-reflections : 0
% 40.53/6.57 % Paramodulations : 167404
% 40.53/6.57 % Factorizations : 0
% 40.53/6.57 % NegExts : 0
% 40.53/6.57 % Equation resolutions : 0
% 40.53/6.57 % Disequality decompositions : 0
% 40.53/6.57 % Total rewrite steps : 7985
% 40.53/6.57 % ...of those cached : 6968
% 40.53/6.57 % Propositional unsat checks : 0
% 40.53/6.57 % Propositional check models : 0
% 40.53/6.57 % Propositional check unsatisfiable : 0
% 40.53/6.57 % Propositional clauses : 0
% 40.53/6.57 % Propositional clauses after purity: 0
% 40.53/6.57 % Propositional unsat core size : 0
% 40.53/6.57 % Propositional preprocessing time : 0.000
% 40.53/6.57 % Propositional encoding time : 0.000
% 40.53/6.57 % Propositional solver time : 0.000
% 40.53/6.57 % Success case prop preproc time : 0.000
% 40.53/6.57 % Success case prop encoding time : 0.000
% 40.53/6.57 % Success case prop solver time : 0.000
% 40.53/6.57 % Current number of processed clauses : 2450
% 40.53/6.57 % Positive orientable unit clauses : 196
% 40.53/6.57 % Positive unorientable unit clauses: 0
% 40.53/6.57 % Negative unit clauses : 95
% 40.53/6.57 % Non-unit-clauses : 2159
% 40.53/6.57 % Current number of unprocessed clauses: 120633
% 40.53/6.57 % ...number of literals in the above : 447380
% 40.53/6.57 % Current number of archived formulas : 0
% 40.53/6.57 % Current number of archived clauses : 735
% 40.53/6.57 % Clause-clause subsumption calls (NU) : 2900032
% 40.53/6.57 % Rec. Clause-clause subsumption calls : 594389
% 40.53/6.57 % Non-unit clause-clause subsumptions : 27097
% 40.53/6.57 % Unit Clause-clause subsumption calls : 33857
% 40.53/6.57 % Rewrite failures with RHS unbound : 0
% 40.53/6.57 % BW rewrite match attempts : 30570
% 40.53/6.57 % BW rewrite match successes : 11
% 40.53/6.57 % Condensation attempts : 0
% 40.53/6.57 % Condensation successes : 0
% 40.53/6.57 % Termbank termtop insertions : 2620349
% 40.53/6.57 % Search garbage collected termcells : 8
% 40.53/6.57
% 40.53/6.57 % -------------------------------------------------
% 40.53/6.57 % User time : 5.265 s
% 40.53/6.57 % System time : 0.134 s
% 40.53/6.57 % Total time : 5.399 s
% 40.53/6.57 % Maximum resident set size: 3636 pages
% 40.53/6.57
% 40.53/6.57 % -------------------------------------------------
% 40.53/6.57 % User time : 27.835 s
% 40.53/6.57 % System time : 0.853 s
% 40.53/6.57 % Total time : 28.688 s
% 40.53/6.57 % Maximum resident set size: 4608 pages
% 40.53/6.57 % E exiting
%------------------------------------------------------------------------------