%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COL027-1 : 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 : n002.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 12:09:20 PM UTC 2026
% Result : Unsatisfiable 0.67s 0.69s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 10 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(h_definition,axiom,
apply(apply(apply(h,X1),X2),X3) = apply(apply(apply(X1,X2),X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_definition) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(prove_fixed_point,negated_conjecture,
X1 != apply(combinator,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(c_0_3,axiom,
apply(apply(apply(h,X1),X2),X3) = apply(apply(apply(X1,X2),X3),X2),
h_definition ).
cnf(c_0_4,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
b_definition ).
cnf(c_0_5,negated_conjecture,
X1 != apply(combinator,X1),
inference(fof_simplification,[status(thm)],[prove_fixed_point]) ).
cnf(c_0_6,plain,
apply(apply(apply(h,apply(b,X1)),X2),X3) = apply(apply(X1,apply(X2,X3)),X2),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
X1 != apply(combinator,X1),
c_0_5 ).
cnf(c_0_8,plain,
apply(apply(apply(h,apply(b,apply(b,X1))),X2),X3) = apply(X1,apply(apply(X2,X3),X2)),
inference(spm,[status(thm)],[c_0_4,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
apply(apply(apply(h,apply(b,apply(b,combinator))),X1),X2) != apply(apply(X1,X2),X1),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL027-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 % Computer : n002.cluster.edu
% 0.22/0.49 % Model : x86_64 x86_64
% 0.22/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.49 % Memory : 8046.5625MB
% 0.22/0.49 % OS : Linux 6.8.0-71-generic
% 0.22/0.49 % CPULimit : 300
% 0.22/0.50 % WCLimit : 300
% 0.22/0.50 % DateTime : Mon Sep 21 14:08:18 UTC 2026
% 0.22/0.50 % CPUTime :
% 0.22/0.50 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.59 Running first-order theorem proving
% 0.25/0.60 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
% 0.67/0.69 % Version: 3.5.1
% 0.67/0.69 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.67/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.69 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.67/0.69 % Starting new_bool_3 with 300s (1) cores
% 0.67/0.69 % Starting new_bool_1 with 300s (1) cores
% 0.67/0.69 % Starting sh5l with 300s (1) cores
% 0.67/0.69 % sh5l with pid 3474293 completed with status 0
% 0.67/0.69 % Result found by sh5l
% 0.67/0.69 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.67/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.69 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.67/0.69 % Starting new_bool_3 with 300s (1) cores
% 0.67/0.69 % Starting new_bool_1 with 300s (1) cores
% 0.67/0.69 % Starting sh5l with 300s (1) cores
% 0.67/0.69 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.67/0.69 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.67/0.69 % Search class: FUUPS-FFSF22-MFFFFFNN
% 0.67/0.69 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.67/0.69 % Starting SubtermCWHack with 31s (1) cores
% 0.67/0.69 % SubtermCWHack with pid 3474297 completed with status 0
% 0.67/0.69 % Result found by SubtermCWHack
% 0.67/0.69 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.67/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.69 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.67/0.69 % Starting new_bool_3 with 300s (1) cores
% 0.67/0.69 % Starting new_bool_1 with 300s (1) cores
% 0.67/0.69 % Starting sh5l with 300s (1) cores
% 0.67/0.69 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.67/0.69 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.67/0.69 % Search class: FUUPS-FFSF22-MFFFFFNN
% 0.67/0.69 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.67/0.69 % Starting SubtermCWHack with 31s (1) cores
% 0.67/0.69 % Preprocessing time : 0.002 s
% 0.67/0.69
% 0.67/0.69 % Proof found!
% 0.67/0.69 % SZS status Unsatisfiable
% 0.67/0.69 % SZS output start CNFRefutation
% See solution above
% 0.67/0.69 % Parsed axioms : 3
% 0.67/0.69 % Removed by relevancy pruning/SinE : 0
% 0.67/0.69 % Initial clauses : 3
% 0.67/0.69 % Removed in clause preprocessing : 0
% 0.67/0.69 % Initial clauses in saturation : 3
% 0.67/0.69 % Processed clauses : 53
% 0.67/0.69 % ...of these trivial : 1
% 0.67/0.69 % ...subsumed : 25
% 0.67/0.69 % ...remaining for further processing : 27
% 0.67/0.69 % Other redundant clauses eliminated : 0
% 0.67/0.69 % Clauses deleted for lack of memory : 0
% 0.67/0.69 % Backward-subsumed : 0
% 0.67/0.69 % Backward-rewritten : 1
% 0.67/0.69 % Generated clauses : 1455
% 0.67/0.69 % ...of the previous two non-redundant : 1384
% 0.67/0.69 % ...aggressively subsumed : 0
% 0.67/0.69 % Contextual simplify-reflections : 0
% 0.67/0.69 % Paramodulations : 1454
% 0.67/0.69 % Factorizations : 0
% 0.67/0.69 % NegExts : 0
% 0.67/0.69 % Equation resolutions : 1
% 0.67/0.69 % Disequality decompositions : 0
% 0.67/0.69 % Total rewrite steps : 73
% 0.67/0.69 % ...of those cached : 12
% 0.67/0.69 % Propositional unsat checks : 0
% 0.67/0.69 % Propositional check models : 0
% 0.67/0.69 % Propositional check unsatisfiable : 0
% 0.67/0.69 % Propositional clauses : 0
% 0.67/0.69 % Propositional clauses after purity: 0
% 0.67/0.69 % Propositional unsat core size : 0
% 0.67/0.69 % Propositional preprocessing time : 0.000
% 0.67/0.69 % Propositional encoding time : 0.000
% 0.67/0.69 % Propositional solver time : 0.000
% 0.67/0.69 % Success case prop preproc time : 0.000
% 0.67/0.69 % Success case prop encoding time : 0.000
% 0.67/0.69 % Success case prop solver time : 0.000
% 0.67/0.69 % Current number of processed clauses : 26
% 0.67/0.69 % Positive orientable unit clauses : 5
% 0.67/0.69 % Positive unorientable unit clauses: 18
% 0.67/0.69 % Negative unit clauses : 3
% 0.67/0.69 % Non-unit-clauses : 0
% 0.67/0.69 % Current number of unprocessed clauses: 1334
% 0.67/0.69 % ...number of literals in the above : 1334
% 0.67/0.69 % Current number of archived formulas : 0
% 0.67/0.69 % Current number of archived clauses : 1
% 0.67/0.69 % Clause-clause subsumption calls (NU) : 0
% 0.67/0.69 % Rec. Clause-clause subsumption calls : 0
% 0.67/0.69 % Non-unit clause-clause subsumptions : 0
% 0.67/0.69 % Unit Clause-clause subsumption calls : 11
% 0.67/0.69 % Rewrite failures with RHS unbound : 0
% 0.67/0.69 % BW rewrite match attempts : 312
% 0.67/0.69 % BW rewrite match successes : 6
% 0.67/0.69 % Condensation attempts : 0
% 0.67/0.69 % Condensation successes : 0
% 0.67/0.69 % Termbank termtop insertions : 30963
% 0.67/0.69 % Search garbage collected termcells : 2
% 0.67/0.69
% 0.67/0.69 % -------------------------------------------------
% 0.67/0.69 % User time : 0.038 s
% 0.67/0.69 % System time : 0.007 s
% 0.67/0.69 % Total time : 0.044 s
% 0.67/0.69 % Maximum resident set size: 3628 pages
% 0.67/0.69
% 0.67/0.69 % -------------------------------------------------
% 0.67/0.69 % User time : 0.040 s
% 0.67/0.69 % System time : 0.013 s
% 0.67/0.69 % Total time : 0.053 s
% 0.67/0.69 % Maximum resident set size: 4608 pages
% 0.67/0.69 % E exiting
%------------------------------------------------------------------------------