%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SCT146+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 02:07:57 PM UTC 2026
% Result : ContradictoryAxioms 0.16s 10.91s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-3 aty)
% Number of variables : 60 ( 25 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_not__Cons__self,axiom,
! [X39,X6,X38] : X38 != hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__Cons__self) ).
fof(help_c__COMBS__1,axiom,
! [X13,X97,X16,X6,X33,X14] : hAPP(hAPP(hAPP(c_COMBS(X14,X33,X6),X16),X97),X13) = hAPP(hAPP(X16,X13),hAPP(X97,X13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(help_c__COMBI__1,axiom,
! [X117,X6] : hAPP(c_COMBI(X6),X117) = X117,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBI__1) ).
fof(c_0_3,plain,
! [X39,X6,X38] : X38 != hAPP(hAPP(c_List_Olist_OCons(X6),X39),X38),
inference(fof_simplification,[status(thm)],[fact_not__Cons__self]) ).
fof(c_0_4,plain,
! [X256,X257,X258] : X258 != hAPP(hAPP(c_List_Olist_OCons(X257),X256),X258),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_3])]) ).
fof(c_0_5,plain,
! [X2196,X2197,X2198,X2199,X2200,X2201] : hAPP(hAPP(hAPP(c_COMBS(X2201,X2200,X2199),X2198),X2197),X2196) = hAPP(hAPP(X2198,X2196),hAPP(X2197,X2196)),
inference(variable_rename,[status(thm)],[help_c__COMBS__1]) ).
cnf(c_0_6,plain,
X1 != hAPP(hAPP(c_List_Olist_OCons(X2),X3),X1),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),c_List_Olist_OCons(X4)),X5),X6) != hAPP(X5,X6),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_9,plain,
! [X2178,X2179] : hAPP(c_COMBI(X2179),X2178) = X2178,
inference(variable_rename,[status(thm)],[help_c__COMBI__1]) ).
cnf(c_0_10,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBS(X4,X5,X6),c_List_Olist_OCons(X7))),X8),X9) != hAPP(X9,hAPP(X8,X9)),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,plain,
hAPP(c_COMBI(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBS(X4,X5,X6),c_List_Olist_OCons(X7))),c_COMBI(X8)),X9) != hAPP(X9,X9),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
$false,
inference(er,[status(thm)],[c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT146+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/10.56 % Computer : n019.cluster.edu
% 0.11/10.56 % Model : x86_64 x86_64
% 0.11/10.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.56 % Memory : 8046.5625MB
% 0.11/10.56 % OS : Linux 6.8.0-71-generic
% 0.11/10.56 % CPULimit : 300
% 0.11/10.56 % WCLimit : 300
% 0.11/10.56 % DateTime : Mon Sep 21 04:34:46 UTC 2026
% 0.11/10.56 % CPUTime :
% 0.11/10.56 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/10.61 Running first-order theorem proving
% 0.16/10.61 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
% 0.16/10.91 % Version: 3.5.1
% 0.16/10.91 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/10.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.91 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/10.91 % Starting new_bool_3 with 300s (1) cores
% 0.16/10.91 % Starting new_bool_1 with 300s (1) cores
% 0.16/10.91 % Starting sh5l with 300s (1) cores
% 0.16/10.91 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1690167 completed with status 0
% 0.16/10.91 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/10.91 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/10.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.91 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/10.91 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/10.91 % No SInE strategy applied
% 0.16/10.91 % Search class: FGHSM-FSLM33-DFFFFFNN
% 0.16/10.91 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/10.91 % Starting SubtermCWHack with 136s (1) cores
% 0.16/10.91 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/10.91 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/10.91 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.16/10.91 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.16/10.91 % U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 1690176 completed with status 0
% 0.16/10.91 % Result found by U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/10.91 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/10.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.91 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/10.91 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/10.91 % No SInE strategy applied
% 0.16/10.91 % Search class: FGHSM-FSLM33-DFFFFFNN
% 0.16/10.91 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/10.91 % Starting SubtermCWHack with 136s (1) cores
% 0.16/10.91 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/10.91 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/10.91 % Preprocessing time : 0.011 s
% 0.16/10.91 % Presaturation interreduction done
% 0.16/10.91
% 0.16/10.91 % Proof found!
% 0.16/10.91 % SZS status ContradictoryAxioms
% 0.16/10.91 % SZS output start CNFRefutation
% See solution above
% 0.16/10.91 % Parsed axioms : 523
% 0.16/10.91 % Removed by relevancy pruning/SinE : 0
% 0.16/10.91 % Initial clauses : 846
% 0.16/10.91 % Removed in clause preprocessing : 48
% 0.16/10.91 % Initial clauses in saturation : 798
% 0.16/10.91 % Processed clauses : 1860
% 0.16/10.91 % ...of these trivial : 38
% 0.16/10.91 % ...subsumed : 550
% 0.16/10.91 % ...remaining for further processing : 1272
% 0.16/10.91 % Other redundant clauses eliminated : 153
% 0.16/10.91 % Clauses deleted for lack of memory : 0
% 0.16/10.91 % Backward-subsumed : 7
% 0.16/10.91 % Backward-rewritten : 2
% 0.16/10.91 % Generated clauses : 4087
% 0.16/10.91 % ...of the previous two non-redundant : 3587
% 0.16/10.91 % ...aggressively subsumed : 0
% 0.16/10.91 % Contextual simplify-reflections : 1
% 0.16/10.91 % Paramodulations : 3937
% 0.16/10.91 % Factorizations : 4
% 0.16/10.91 % NegExts : 0
% 0.16/10.91 % Equation resolutions : 165
% 0.16/10.91 % Disequality decompositions : 0
% 0.16/10.91 % Total rewrite steps : 1184
% 0.16/10.91 % ...of those cached : 942
% 0.16/10.91 % Propositional unsat checks : 0
% 0.16/10.91 % Propositional check models : 0
% 0.16/10.91 % Propositional check unsatisfiable : 0
% 0.16/10.91 % Propositional clauses : 0
% 0.16/10.91 % Propositional clauses after purity: 0
% 0.16/10.91 % Propositional unsat core size : 0
% 0.16/10.91 % Propositional preprocessing time : 0.000
% 0.16/10.91 % Propositional encoding time : 0.000
% 0.16/10.91 % Propositional solver time : 0.000
% 0.16/10.91 % Success case prop preproc time : 0.000
% 0.16/10.91 % Success case prop encoding time : 0.000
% 0.16/10.91 % Success case prop solver time : 0.000
% 0.16/10.91 % Current number of processed clauses : 546
% 0.16/10.91 % Positive orientable unit clauses : 123
% 0.16/10.91 % Positive unorientable unit clauses: 9
% 0.16/10.91 % Negative unit clauses : 155
% 0.16/10.91 % Non-unit-clauses : 259
% 0.16/10.91 % Current number of unprocessed clauses: 3130
% 0.16/10.91 % ...number of literals in the above : 6212
% 0.16/10.91 % Current number of archived formulas : 0
% 0.16/10.91 % Current number of archived clauses : 620
% 0.16/10.91 % Clause-clause subsumption calls (NU) : 107021
% 0.16/10.91 % Rec. Clause-clause subsumption calls : 40261
% 0.16/10.91 % Non-unit clause-clause subsumptions : 249
% 0.16/10.91 % Unit Clause-clause subsumption calls : 2008
% 0.16/10.91 % Rewrite failures with RHS unbound : 0
% 0.16/10.91 % BW rewrite match attempts : 408
% 0.16/10.91 % BW rewrite match successes : 28
% 0.16/10.91 % Condensation attempts : 0
% 0.16/10.91 % Condensation successes : 0
% 0.16/10.91 % Termbank termtop insertions : 216724
% 0.16/10.91 % Search garbage collected termcells : 13329
% 0.16/10.91
% 0.16/10.91 % -------------------------------------------------
% 0.16/10.91 % User time : 0.241 s
% 0.16/10.91 % System time : 0.015 s
% 0.16/10.91 % Total time : 0.256 s
% 0.16/10.91 % Maximum resident set size: 7836 pages
% 0.16/10.91
% 0.16/10.91 % -------------------------------------------------
% 0.16/10.91 % User time : 0.993 s
% 0.16/10.91 % System time : 0.068 s
% 0.16/10.91 % Total time : 1.061 s
% 0.16/10.92 % Maximum resident set size: 5632 pages
% 0.16/10.92 % E exiting
%------------------------------------------------------------------------------