%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COL075-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:09:31 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 9 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(abstraction,axiom,
apply(apply(apply(abstraction,X1),X2),X3) = apply(apply(X1,apply(k,X3)),apply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction) ).
cnf(k_definition,axiom,
apply(apply(k,X1),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).
cnf(prove_diagonal_combinator,negated_conjecture,
apply(apply(X1,b(X1)),c(X1)) != apply(b(X1),b(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_diagonal_combinator) ).
cnf(c_0_3,axiom,
apply(apply(apply(abstraction,X1),X2),X3) = apply(apply(X1,apply(k,X3)),apply(X2,X3)),
abstraction ).
cnf(c_0_4,axiom,
apply(apply(k,X1),X2) = X1,
k_definition ).
cnf(c_0_5,negated_conjecture,
apply(apply(X1,b(X1)),c(X1)) != apply(b(X1),b(X1)),
inference(fof_simplification,[status(thm)],[prove_diagonal_combinator]) ).
cnf(c_0_6,plain,
apply(apply(apply(abstraction,X1),apply(k,X2)),X3) = apply(apply(X1,apply(k,X3)),X2),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
apply(apply(X1,b(X1)),c(X1)) != apply(b(X1),b(X1)),
c_0_5 ).
cnf(c_0_8,plain,
apply(apply(apply(apply(abstraction,abstraction),k),X1),X2) = apply(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_3]),c_0_4]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_7,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL075-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.37 % Computer : n019.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 14:08:42 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.14/5.45 % Version: 3.5.1
% 0.14/5.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.45 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.45 % Starting sh5l with 300s (1) cores
% 0.14/5.45 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2776107 completed with status 0
% 0.14/5.45 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/5.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/5.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.45 % No SInE strategy applied
% 0.14/5.45 % Search class: FGUPM-FFSF21-MFFFFFNN
% 0.14/5.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.45 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/5.45 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.14/5.45 % Starting new_bool_3 with 136s (1) cores
% 0.14/5.45 % Starting new_bool_1 with 136s (1) cores
% 0.14/5.45 % C12_02_nc_SAT001_MinMin_p005000_rr with pid 2776114 completed with status 0
% 0.14/5.45 % Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 0.14/5.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/5.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.45 % No SInE strategy applied
% 0.14/5.45 % Search class: FGUPM-FFSF21-MFFFFFNN
% 0.14/5.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.45 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/5.45 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.14/5.45 % Preprocessing time : 0.001 s
% 0.14/5.45 % Presaturation interreduction done
% 0.14/5.45
% 0.14/5.45 % Proof found!
% 0.14/5.45 % SZS status Unsatisfiable
% 0.14/5.45 % SZS output start CNFRefutation
% See solution above
% 0.14/5.45 % Parsed axioms : 11
% 0.14/5.45 % Removed by relevancy pruning/SinE : 0
% 0.14/5.45 % Initial clauses : 11
% 0.14/5.45 % Removed in clause preprocessing : 0
% 0.14/5.45 % Initial clauses in saturation : 11
% 0.14/5.45 % Processed clauses : 104
% 0.14/5.45 % ...of these trivial : 2
% 0.14/5.45 % ...subsumed : 7
% 0.14/5.45 % ...remaining for further processing : 95
% 0.14/5.45 % Other redundant clauses eliminated : 8
% 0.14/5.45 % Clauses deleted for lack of memory : 0
% 0.14/5.45 % Backward-subsumed : 0
% 0.14/5.45 % Backward-rewritten : 10
% 0.14/5.45 % Generated clauses : 735
% 0.14/5.45 % ...of the previous two non-redundant : 604
% 0.14/5.45 % ...aggressively subsumed : 0
% 0.14/5.45 % Contextual simplify-reflections : 0
% 0.14/5.45 % Paramodulations : 726
% 0.14/5.45 % Factorizations : 0
% 0.14/5.45 % NegExts : 0
% 0.14/5.45 % Equation resolutions : 9
% 0.14/5.45 % Disequality decompositions : 0
% 0.14/5.45 % Total rewrite steps : 377
% 0.14/5.45 % ...of those cached : 201
% 0.14/5.45 % Propositional unsat checks : 0
% 0.14/5.45 % Propositional check models : 0
% 0.14/5.45 % Propositional check unsatisfiable : 0
% 0.14/5.45 % Propositional clauses : 0
% 0.14/5.45 % Propositional clauses after purity: 0
% 0.14/5.45 % Propositional unsat core size : 0
% 0.14/5.45 % Propositional preprocessing time : 0.000
% 0.14/5.45 % Propositional encoding time : 0.000
% 0.14/5.45 % Propositional solver time : 0.000
% 0.14/5.45 % Success case prop preproc time : 0.000
% 0.14/5.45 % Success case prop encoding time : 0.000
% 0.14/5.45 % Success case prop solver time : 0.000
% 0.14/5.45 % Current number of processed clauses : 74
% 0.14/5.45 % Positive orientable unit clauses : 48
% 0.14/5.45 % Positive unorientable unit clauses: 1
% 0.14/5.45 % Negative unit clauses : 14
% 0.14/5.45 % Non-unit-clauses : 11
% 0.14/5.45 % Current number of unprocessed clauses: 456
% 0.14/5.45 % ...number of literals in the above : 579
% 0.14/5.45 % Current number of archived formulas : 0
% 0.14/5.45 % Current number of archived clauses : 21
% 0.14/5.45 % Clause-clause subsumption calls (NU) : 15
% 0.14/5.45 % Rec. Clause-clause subsumption calls : 15
% 0.14/5.45 % Non-unit clause-clause subsumptions : 7
% 0.14/5.45 % Unit Clause-clause subsumption calls : 16
% 0.14/5.45 % Rewrite failures with RHS unbound : 14
% 0.14/5.45 % BW rewrite match attempts : 181
% 0.14/5.45 % BW rewrite match successes : 23
% 0.14/5.45 % Condensation attempts : 0
% 0.14/5.45 % Condensation successes : 0
% 0.14/5.45 % Termbank termtop insertions : 12395
% 0.14/5.45 % Search garbage collected termcells : 7
% 0.14/5.45
% 0.14/5.45 % -------------------------------------------------
% 0.14/5.45 % User time : 0.008 s
% 0.14/5.45 % System time : 0.004 s
% 0.14/5.45 % Total time : 0.012 s
% 0.14/5.45 % Maximum resident set size: 3636 pages
% 0.14/5.45
% 0.14/5.45 % -------------------------------------------------
% 0.14/5.45 % User time : 0.040 s
% 0.14/5.45 % System time : 0.022 s
% 0.14/5.45 % Total time : 0.062 s
% 0.14/5.45 % Maximum resident set size: 4864 pages
% 0.14/5.45 % E exiting
%------------------------------------------------------------------------------