%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COL021-1 : 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 : n013.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 12:09:19 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.55s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 9 equ; 4 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_fixed_point,negated_conjecture,
X1 != apply(combinator,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(m_definition,axiom,
apply(m,X1) = apply(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_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(c_0_3,negated_conjecture,
X1 != apply(combinator,X1),
inference(fof_simplification,[status(thm)],[prove_fixed_point]) ).
cnf(c_0_4,axiom,
apply(m,X1) = apply(X1,X1),
m_definition ).
cnf(c_0_5,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
b_definition ).
cnf(c_0_6,negated_conjecture,
X1 != apply(combinator,X1),
c_0_3 ).
cnf(c_0_7,plain,
apply(X1,apply(X2,apply(apply(b,X1),X2))) = apply(m,apply(apply(b,X1),X2)),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
apply(m,apply(apply(b,combinator),X1)) != apply(X1,apply(apply(b,combinator),X1)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n013.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 14:04:37 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 0.23/0.55 % Version: 3.5.1
% 0.23/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.55 % Starting sh5l with 300s (1) cores
% 0.23/0.55 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 950738 completed with status 0
% 0.23/0.55 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.23/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.55 % No SInE strategy applied
% 0.23/0.55 % Search class: FUUPS-FFSF22-MFFFFFNN
% 0.23/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.23/0.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0Y_ni with 136s (1) cores
% 0.23/0.55 % Starting new_bool_3 with 136s (1) cores
% 0.23/0.55 % Starting new_bool_1 with 136s (1) cores
% 0.23/0.55 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 950744 completed with status 0
% 0.23/0.55 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.23/0.55 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.55 % No SInE strategy applied
% 0.23/0.55 % Search class: FUUPS-FFSF22-MFFFFFNN
% 0.23/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.55 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.23/0.55 % Preprocessing time : 0.002 s
% 0.23/0.55
% 0.23/0.55 % Proof found!
% 0.23/0.55 % SZS status Unsatisfiable
% 0.23/0.55 % SZS output start CNFRefutation
% See solution above
% 0.23/0.55 % Parsed axioms : 4
% 0.23/0.55 % Removed by relevancy pruning/SinE : 0
% 0.23/0.55 % Initial clauses : 4
% 0.23/0.55 % Removed in clause preprocessing : 0
% 0.23/0.55 % Initial clauses in saturation : 4
% 0.23/0.55 % Processed clauses : 13
% 0.23/0.55 % ...of these trivial : 0
% 0.23/0.55 % ...subsumed : 0
% 0.23/0.55 % ...remaining for further processing : 13
% 0.23/0.55 % Other redundant clauses eliminated : 0
% 0.23/0.55 % Clauses deleted for lack of memory : 0
% 0.23/0.55 % Backward-subsumed : 0
% 0.23/0.55 % Backward-rewritten : 0
% 0.23/0.55 % Generated clauses : 86
% 0.23/0.55 % ...of the previous two non-redundant : 73
% 0.23/0.55 % ...aggressively subsumed : 0
% 0.23/0.55 % Contextual simplify-reflections : 0
% 0.23/0.55 % Paramodulations : 85
% 0.23/0.55 % Factorizations : 0
% 0.23/0.55 % NegExts : 0
% 0.23/0.55 % Equation resolutions : 1
% 0.23/0.55 % Disequality decompositions : 0
% 0.23/0.55 % Total rewrite steps : 23
% 0.23/0.55 % ...of those cached : 3
% 0.23/0.55 % Propositional unsat checks : 0
% 0.23/0.55 % Propositional check models : 0
% 0.23/0.55 % Propositional check unsatisfiable : 0
% 0.23/0.55 % Propositional clauses : 0
% 0.23/0.55 % Propositional clauses after purity: 0
% 0.23/0.55 % Propositional unsat core size : 0
% 0.23/0.55 % Propositional preprocessing time : 0.000
% 0.23/0.55 % Propositional encoding time : 0.000
% 0.23/0.55 % Propositional solver time : 0.000
% 0.23/0.55 % Success case prop preproc time : 0.000
% 0.23/0.55 % Success case prop encoding time : 0.000
% 0.23/0.55 % Success case prop solver time : 0.000
% 0.23/0.55 % Current number of processed clauses : 13
% 0.23/0.55 % Positive orientable unit clauses : 8
% 0.23/0.55 % Positive unorientable unit clauses: 2
% 0.23/0.55 % Negative unit clauses : 3
% 0.23/0.55 % Non-unit-clauses : 0
% 0.23/0.55 % Current number of unprocessed clauses: 64
% 0.23/0.55 % ...number of literals in the above : 64
% 0.23/0.55 % Current number of archived formulas : 0
% 0.23/0.55 % Current number of archived clauses : 0
% 0.23/0.55 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.55 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.55 % Non-unit clause-clause subsumptions : 0
% 0.23/0.55 % Unit Clause-clause subsumption calls : 3
% 0.23/0.55 % Rewrite failures with RHS unbound : 0
% 0.23/0.55 % BW rewrite match attempts : 20
% 0.23/0.55 % BW rewrite match successes : 0
% 0.23/0.55 % Condensation attempts : 0
% 0.23/0.55 % Condensation successes : 0
% 0.23/0.55 % Termbank termtop insertions : 1700
% 0.23/0.55 % Search garbage collected termcells : 2
% 0.23/0.55
% 0.23/0.55 % -------------------------------------------------
% 0.23/0.55 % User time : 0.006 s
% 0.23/0.55 % System time : 0.004 s
% 0.23/0.55 % Total time : 0.010 s
% 0.23/0.55 % Maximum resident set size: 3628 pages
% 0.23/0.55
% 0.23/0.55 % -------------------------------------------------
% 0.23/0.55 % User time : 0.027 s
% 0.23/0.55 % System time : 0.018 s
% 0.23/0.55 % Total time : 0.045 s
% 0.23/0.55 % Maximum resident set size: 4864 pages
% 0.23/0.55 % E exiting
%------------------------------------------------------------------------------