%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COL064-11 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:09:29 PM UTC 2026
% Result : Unsatisfiable 0.15s 15.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 7 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_v_combinator,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t)),t),x),y),z) != apply(apply(z,x),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_combinator) ).
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(t_definition,axiom,
apply(apply(t,X1),X2) = apply(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).
cnf(c_0_3,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t)),t),x),y),z) != apply(apply(z,x),y),
inference(fof_simplification,[status(thm)],[prove_v_combinator]) ).
cnf(c_0_4,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t)),t),x),y),z) != apply(apply(z,x),y),
c_0_3 ).
cnf(c_0_5,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
b_definition ).
cnf(c_0_6,axiom,
apply(apply(t,X1),X2) = apply(X2,X1),
t_definition ).
cnf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_5]),c_0_5]),c_0_6]),c_0_5]),c_0_5]),c_0_6]),c_0_5]),c_0_6]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL064-11 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/15.38 % Computer : n018.cluster.edu
% 0.10/15.38 % Model : x86_64 x86_64
% 0.10/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.38 % Memory : 8046.5625MB
% 0.10/15.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.38 % CPULimit : 300
% 0.10/15.38 % WCLimit : 300
% 0.10/15.38 % DateTime : Mon Sep 21 14:10:29 UTC 2026
% 0.10/15.38 % CPUTime :
% 0.10/15.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/15.42 Running first-order theorem proving
% 0.15/15.42 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
% 0.15/15.44 % Version: 3.5.1
% 0.15/15.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/15.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/15.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/15.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/15.44 % Starting sh5l with 300s (1) cores
% 0.15/15.44 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2096369 completed with status 0
% 0.15/15.44 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/15.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/15.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/15.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.44 % No SInE strategy applied
% 0.15/15.44 % Search class: FUUPS-FFSF22-DFFFFFNN
% 0.15/15.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/15.44 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/15.44 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.15/15.44 % Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/15.44 % SubtermCWHack with pid 2096373 completed with status 0
% 0.15/15.44 % Result found by SubtermCWHack
% 0.15/15.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/15.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/15.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.44 % No SInE strategy applied
% 0.15/15.44 % Search class: FUUPS-FFSF22-DFFFFFNN
% 0.15/15.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.44 % Preprocessing time : 0.001 s
% 0.15/15.44
% 0.15/15.44 % Proof found!
% 0.15/15.44 % SZS status Unsatisfiable
% 0.15/15.44 % SZS output start CNFRefutation
% See solution above
% 0.15/15.44 % Parsed axioms : 3
% 0.15/15.44 % Removed by relevancy pruning/SinE : 0
% 0.15/15.44 % Initial clauses : 3
% 0.15/15.44 % Removed in clause preprocessing : 0
% 0.15/15.44 % Initial clauses in saturation : 3
% 0.15/15.44 % Processed clauses : 3
% 0.15/15.44 % ...of these trivial : 0
% 0.15/15.44 % ...subsumed : 0
% 0.15/15.44 % ...remaining for further processing : 2
% 0.15/15.44 % Other redundant clauses eliminated : 0
% 0.15/15.44 % Clauses deleted for lack of memory : 0
% 0.15/15.44 % Backward-subsumed : 0
% 0.15/15.44 % Backward-rewritten : 0
% 0.15/15.44 % Generated clauses : 0
% 0.15/15.44 % ...of the previous two non-redundant : 0
% 0.15/15.44 % ...aggressively subsumed : 0
% 0.15/15.44 % Contextual simplify-reflections : 0
% 0.15/15.44 % Paramodulations : 0
% 0.15/15.44 % Factorizations : 0
% 0.15/15.44 % NegExts : 0
% 0.15/15.44 % Equation resolutions : 0
% 0.15/15.44 % Disequality decompositions : 0
% 0.15/15.44 % Total rewrite steps : 10
% 0.15/15.44 % ...of those cached : 0
% 0.15/15.44 % Propositional unsat checks : 0
% 0.15/15.44 % Propositional check models : 0
% 0.15/15.44 % Propositional check unsatisfiable : 0
% 0.15/15.44 % Propositional clauses : 0
% 0.15/15.44 % Propositional clauses after purity: 0
% 0.15/15.44 % Propositional unsat core size : 0
% 0.15/15.44 % Propositional preprocessing time : 0.000
% 0.15/15.44 % Propositional encoding time : 0.000
% 0.15/15.44 % Propositional solver time : 0.000
% 0.15/15.44 % Success case prop preproc time : 0.000
% 0.15/15.44 % Success case prop encoding time : 0.000
% 0.15/15.44 % Success case prop solver time : 0.000
% 0.15/15.44 % Current number of processed clauses : 2
% 0.15/15.44 % Positive orientable unit clauses : 2
% 0.15/15.44 % Positive unorientable unit clauses: 0
% 0.15/15.44 % Negative unit clauses : 0
% 0.15/15.44 % Non-unit-clauses : 0
% 0.15/15.44 % Current number of unprocessed clauses: 0
% 0.15/15.44 % ...number of literals in the above : 0
% 0.15/15.44 % Current number of archived formulas : 0
% 0.15/15.44 % Current number of archived clauses : 0
% 0.15/15.44 % Clause-clause subsumption calls (NU) : 0
% 0.15/15.44 % Rec. Clause-clause subsumption calls : 0
% 0.15/15.44 % Non-unit clause-clause subsumptions : 0
% 0.15/15.44 % Unit Clause-clause subsumption calls : 0
% 0.15/15.44 % Rewrite failures with RHS unbound : 0
% 0.15/15.44 % BW rewrite match attempts : 0
% 0.15/15.44 % BW rewrite match successes : 0
% 0.15/15.44 % Condensation attempts : 0
% 0.15/15.44 % Condensation successes : 0
% 0.15/15.44 % Termbank termtop insertions : 135
% 0.15/15.44 % Search garbage collected termcells : 2
% 0.15/15.44
% 0.15/15.44 % -------------------------------------------------
% 0.15/15.44 % User time : 0.002 s
% 0.15/15.44 % System time : 0.002 s
% 0.15/15.44 % Total time : 0.004 s
% 0.15/15.44 % Maximum resident set size: 3588 pages
% 0.15/15.44
% 0.15/15.44 % -------------------------------------------------
% 0.15/15.44 % User time : 0.010 s
% 0.15/15.44 % System time : 0.011 s
% 0.15/15.44 % Total time : 0.020 s
% 0.15/15.44 % Maximum resident set size: 4864 pages
% 0.15/15.44 % E exiting
%------------------------------------------------------------------------------