%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 12:09:27 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of clauses : 36 ( 36 unt; 0 nHn; 17 RR)
% Number of literals : 36 ( 35 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lark_lemma1,axiom,
response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_lemma1) ).
cnf(l2_definition,axiom,
response(lark,lark) = l2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_definition) ).
cnf(lark_exists,axiom,
response(response(lark,X1),X2) = response(X1,response(X2,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_exists) ).
cnf(l3_definition,axiom,
response(l2,lark) = l3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_definition) ).
cnf(prove_l3_not_egocentric,negated_conjecture,
response(l3,l3) = l3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l3_not_egocentric) ).
cnf(lark_lemma2,axiom,
response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_lemma2) ).
cnf(kestrel_exists,axiom,
response(response(kestrel,X1),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kestrel_exists) ).
cnf(lark_not_egocentric,axiom,
response(l2,l2) != l2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lark_not_egocentric) ).
cnf(c_0_8,axiom,
response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)),
lark_lemma1 ).
cnf(c_0_9,axiom,
response(lark,lark) = l2,
l2_definition ).
cnf(c_0_10,axiom,
response(response(lark,X1),X2) = response(X1,response(X2,X2)),
lark_exists ).
cnf(c_0_11,plain,
response(response(X1,X1),response(X2,X2)) = response(response(l2,X1),X2),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
response(l2,lark) = l3,
l3_definition ).
cnf(c_0_13,plain,
response(lark,response(X1,X1)) = response(l2,X1),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
response(l3,l3) = l3,
prove_l3_not_egocentric ).
cnf(c_0_15,plain,
response(l2,response(X1,X1)) = response(l3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_9]),c_0_12]) ).
cnf(c_0_16,negated_conjecture,
response(l2,l3) = response(lark,l3),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,axiom,
response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)),
lark_lemma2 ).
cnf(c_0_18,negated_conjecture,
response(lark,l3) = l3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_14]),c_0_16]),c_0_14]) ).
cnf(c_0_19,plain,
response(response(l3,X1),X2) = response(response(response(l2,X1),X1),response(x2,x2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_9]),c_0_12]),c_0_11]) ).
cnf(c_0_20,negated_conjecture,
response(l3,response(X1,X1)) = response(l3,X1),
inference(spm,[status(thm)],[c_0_10,c_0_18]) ).
cnf(c_0_21,plain,
response(l3,x2) = response(l3,X1),
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(spm,[status(thm)],[c_0_11,c_0_19]),c_0_16]),c_0_18]),c_0_14]),c_0_20]),c_0_16]),c_0_18]) ).
cnf(c_0_22,plain,
response(l3,X1) = response(l3,X2),
inference(spm,[status(thm)],[c_0_21,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
response(l3,X1) = l3,
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_24,axiom,
response(response(kestrel,X1),X2) = X1,
kestrel_exists ).
cnf(c_0_25,plain,
response(l2,response(X1,X1)) = l3,
inference(rw,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_26,plain,
response(response(l2,kestrel),X1) = kestrel,
inference(spm,[status(thm)],[c_0_24,c_0_11]) ).
cnf(c_0_27,plain,
response(l2,l2) != l2,
inference(fof_simplification,[status(thm)],[lark_not_egocentric]) ).
cnf(c_0_28,plain,
response(l3,lark) = response(l2,l2),
inference(spm,[status(thm)],[c_0_15,c_0_9]) ).
cnf(c_0_29,plain,
response(l2,kestrel) = l3,
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
response(l2,l2) != l2,
c_0_27 ).
cnf(c_0_31,plain,
response(l2,l2) = l3,
inference(rw,[status(thm)],[c_0_28,c_0_23]) ).
cnf(c_0_32,plain,
kestrel = l3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_29]),c_0_23]) ).
cnf(c_0_33,plain,
l3 != l2,
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
l3 = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_32]),c_0_23]),c_0_23]) ).
cnf(c_0_35,plain,
$false,
inference(sr,[status(thm)],[c_0_33,c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 14:10:07 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.42 % Version: 3.5.1
% 0.14/0.42 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.42 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.42 % Starting sh5l with 300s (1) cores
% 0.14/0.42 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2473103 completed with status 0
% 0.14/0.42 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/0.42 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.42 % No SInE strategy applied
% 0.14/0.42 % Search class: FUUPM-FFSS22-MFFFFFNN
% 0.14/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.42 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.42 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 226s (1) cores
% 0.14/0.42 % Starting new_bool_3 with 226s (1) cores
% 0.14/0.42 % Starting new_bool_1 with 226s (1) cores
% 0.14/0.42 % new_bool_1 with pid 2473114 completed with status 0
% 0.14/0.42 % Result found by new_bool_1
% 0.14/0.42 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.42 % No SInE strategy applied
% 0.14/0.42 % Search class: FUUPM-FFSS22-MFFFFFNN
% 0.14/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.42 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.42 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 226s (1) cores
% 0.14/0.42 % Starting new_bool_3 with 226s (1) cores
% 0.14/0.42 % Starting new_bool_1 with 226s (1) cores
% 0.14/0.42 % Preprocessing time : 0.001 s
% 0.14/0.42 % Presaturation interreduction done
% 0.14/0.42
% 0.14/0.42 % Proof found!
% 0.14/0.42 % SZS status Unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation
% See solution above
% 0.14/0.42 % Parsed axioms : 8
% 0.14/0.42 % Removed by relevancy pruning/SinE : 0
% 0.14/0.42 % Initial clauses : 8
% 0.14/0.42 % Removed in clause preprocessing : 0
% 0.14/0.42 % Initial clauses in saturation : 8
% 0.14/0.42 % Processed clauses : 41
% 0.14/0.42 % ...of these trivial : 3
% 0.14/0.42 % ...subsumed : 0
% 0.14/0.42 % ...remaining for further processing : 38
% 0.14/0.42 % Other redundant clauses eliminated : 0
% 0.14/0.42 % Clauses deleted for lack of memory : 0
% 0.14/0.42 % Backward-subsumed : 1
% 0.14/0.42 % Backward-rewritten : 27
% 0.14/0.42 % Generated clauses : 117
% 0.14/0.42 % ...of the previous two non-redundant : 105
% 0.14/0.42 % ...aggressively subsumed : 0
% 0.14/0.42 % Contextual simplify-reflections : 0
% 0.14/0.42 % Paramodulations : 116
% 0.14/0.42 % Factorizations : 0
% 0.14/0.42 % NegExts : 0
% 0.14/0.42 % Equation resolutions : 0
% 0.14/0.42 % Disequality decompositions : 0
% 0.14/0.42 % Total rewrite steps : 159
% 0.14/0.42 % ...of those cached : 109
% 0.14/0.42 % Propositional unsat checks : 0
% 0.14/0.42 % Propositional check models : 0
% 0.14/0.42 % Propositional check unsatisfiable : 0
% 0.14/0.42 % Propositional clauses : 0
% 0.14/0.42 % Propositional clauses after purity: 0
% 0.14/0.42 % Propositional unsat core size : 0
% 0.14/0.42 % Propositional preprocessing time : 0.000
% 0.14/0.42 % Propositional encoding time : 0.000
% 0.14/0.42 % Propositional solver time : 0.000
% 0.14/0.42 % Success case prop preproc time : 0.000
% 0.14/0.42 % Success case prop encoding time : 0.000
% 0.14/0.42 % Success case prop solver time : 0.000
% 0.14/0.42 % Current number of processed clauses : 1
% 0.14/0.42 % Positive orientable unit clauses : 0
% 0.14/0.42 % Positive unorientable unit clauses: 1
% 0.14/0.42 % Negative unit clauses : 0
% 0.14/0.42 % Non-unit-clauses : 0
% 0.14/0.42 % Current number of unprocessed clauses: 58
% 0.14/0.42 % ...number of literals in the above : 58
% 0.14/0.42 % Current number of archived formulas : 0
% 0.14/0.42 % Current number of archived clauses : 37
% 0.14/0.42 % Clause-clause subsumption calls (NU) : 0
% 0.14/0.42 % Rec. Clause-clause subsumption calls : 0
% 0.14/0.42 % Non-unit clause-clause subsumptions : 0
% 0.14/0.42 % Unit Clause-clause subsumption calls : 1
% 0.14/0.42 % Rewrite failures with RHS unbound : 23
% 0.14/0.42 % BW rewrite match attempts : 54
% 0.14/0.42 % BW rewrite match successes : 54
% 0.14/0.42 % Condensation attempts : 0
% 0.14/0.42 % Condensation successes : 0
% 0.14/0.42 % Termbank termtop insertions : 1325
% 0.14/0.42 % Search garbage collected termcells : 2
% 0.14/0.42
% 0.14/0.42 % -------------------------------------------------
% 0.14/0.42 % User time : 0.003 s
% 0.14/0.42 % System time : 0.002 s
% 0.14/0.42 % Total time : 0.005 s
% 0.14/0.42 % Maximum resident set size: 3632 pages
% 0.14/0.42
% 0.14/0.42 % -------------------------------------------------
% 0.14/0.42 % User time : 0.016 s
% 0.14/0.42 % System time : 0.010 s
% 0.14/0.42 % Total time : 0.026 s
% 0.14/0.42 % Maximum resident set size: 4608 pages
% 0.14/0.42 % E exiting
%------------------------------------------------------------------------------