%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SCT102+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 : 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 02:07:43 PM UTC 2026
% Result : ContradictoryAxioms 59.06s 9.23s
% Output : CNFRefutation 59.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-5 aty)
% Number of variables : 64 ( 24 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_not__Cons__self,axiom,
! [X10,X7,X11] : X11 != hAPP(hAPP(c_List_Olist_OCons(X7),X10),X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__Cons__self) ).
fof(help_c__COMBS__1,axiom,
! [X92,X86,X34,X7,X93,X22] : hAPP(c_COMBS(X22,X93,X7,X34,X86),X92) = hAPP(hAPP(X34,X92),hAPP(X86,X92)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(help_c__COMBI__1,axiom,
! [X90,X7] : hAPP(c_COMBI(X7),X90) = X90,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBI__1) ).
fof(c_0_3,plain,
! [X10,X7,X11] : X11 != hAPP(hAPP(c_List_Olist_OCons(X7),X10),X11),
inference(fof_simplification,[status(thm)],[fact_not__Cons__self]) ).
fof(c_0_4,plain,
! [X1671,X1672,X1673,X1674,X1675,X1676] : hAPP(c_COMBS(X1676,X1675,X1674,X1673,X1672),X1671) = hAPP(hAPP(X1673,X1671),hAPP(X1672,X1671)),
inference(variable_rename,[status(thm)],[help_c__COMBS__1]) ).
fof(c_0_5,plain,
! [X1653,X1654] : hAPP(c_COMBI(X1654),X1653) = X1653,
inference(variable_rename,[status(thm)],[help_c__COMBI__1]) ).
fof(c_0_6,plain,
! [X107,X108,X109] : X109 != hAPP(hAPP(c_List_Olist_OCons(X108),X107),X109),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_3])]) ).
cnf(c_0_7,plain,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X4,X6),hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
hAPP(c_COMBI(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
X1 != hAPP(hAPP(c_List_Olist_OCons(X2),X3),X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
hAPP(c_COMBS(X1,X2,X3,X4,c_COMBI(X5)),X6) = hAPP(hAPP(X4,X6),X6),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
hAPP(c_COMBS(X1,X2,X3,c_List_Olist_OCons(X4),X5),X6) != hAPP(X5,X6),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_12,plain,
hAPP(c_COMBS(X1,X2,X3,c_COMBI(X4),c_COMBI(X5)),X6) = hAPP(X6,X6),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_13,plain,
hAPP(c_COMBS(X1,X2,X3,c_COMBI(X4),c_COMBI(X5)),c_COMBS(X6,X7,X8,c_List_Olist_OCons(X9),X10)) != hAPP(X10,c_COMBS(X6,X7,X8,c_List_Olist_OCons(X9),X10)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
$false,
inference(er,[status(thm)],[c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT102+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.45 % Computer : n026.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 04:34:37 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 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
% 59.06/9.23 % Version: 3.5.1
% 59.06/9.23 % Preprocessing class: FSLSSMSMSSSNFFN.
% 59.06/9.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.06/9.23 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 59.06/9.23 % Starting new_bool_3 with 300s (1) cores
% 59.06/9.23 % Starting new_bool_1 with 300s (1) cores
% 59.06/9.23 % Starting sh5l with 300s (1) cores
% 59.06/9.23 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1370712 completed with status 0
% 59.06/9.23 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 59.06/9.23 % Preprocessing class: FSLSSMSMSSSNFFN.
% 59.06/9.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.06/9.23 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 59.06/9.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 59.06/9.23 % No SInE strategy applied
% 59.06/9.23 % Search class: FGHSM-FSLM32-DFFFFFNN
% 59.06/9.23 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 59.06/9.23 % Starting SubtermCWHack with 136s (1) cores
% 59.06/9.23 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 59.06/9.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 59.06/9.23 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 59.06/9.23 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 59.06/9.23 % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 1370722 completed with status 0
% 59.06/9.23 % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 59.06/9.23 % Preprocessing class: FSLSSMSMSSSNFFN.
% 59.06/9.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 59.06/9.23 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 59.06/9.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 59.06/9.23 % No SInE strategy applied
% 59.06/9.23 % Search class: FGHSM-FSLM32-DFFFFFNN
% 59.06/9.23 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 59.06/9.23 % Starting SubtermCWHack with 136s (1) cores
% 59.06/9.23 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 59.06/9.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 59.06/9.23 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 59.06/9.23 % Preprocessing time : 0.011 s
% 59.06/9.23 % Presaturation interreduction done
% 59.06/9.23
% 59.06/9.23 % Proof found!
% 59.06/9.23 % SZS status ContradictoryAxioms
% 59.06/9.23 % SZS output start CNFRefutation
% See solution above
% 59.06/9.23 % Parsed axioms : 575
% 59.06/9.23 % Removed by relevancy pruning/SinE : 0
% 59.06/9.23 % Initial clauses : 779
% 59.06/9.23 % Removed in clause preprocessing : 36
% 59.06/9.23 % Initial clauses in saturation : 743
% 59.06/9.23 % Processed clauses : 11027
% 59.06/9.23 % ...of these trivial : 383
% 59.06/9.23 % ...subsumed : 7484
% 59.06/9.23 % ...remaining for further processing : 3160
% 59.06/9.23 % Other redundant clauses eliminated : 4078
% 59.06/9.23 % Clauses deleted for lack of memory : 0
% 59.06/9.23 % Backward-subsumed : 36
% 59.06/9.23 % Backward-rewritten : 83
% 59.06/9.23 % Generated clauses : 412039
% 59.06/9.23 % ...of the previous two non-redundant : 375328
% 59.06/9.23 % ...aggressively subsumed : 0
% 59.06/9.23 % Contextual simplify-reflections : 1
% 59.06/9.23 % Paramodulations : 407938
% 59.06/9.23 % Factorizations : 16
% 59.06/9.23 % NegExts : 0
% 59.06/9.23 % Equation resolutions : 4102
% 59.06/9.23 % Disequality decompositions : 0
% 59.06/9.23 % Total rewrite steps : 90519
% 59.06/9.23 % ...of those cached : 75538
% 59.06/9.23 % Propositional unsat checks : 0
% 59.06/9.23 % Propositional check models : 0
% 59.06/9.23 % Propositional check unsatisfiable : 0
% 59.06/9.23 % Propositional clauses : 0
% 59.06/9.23 % Propositional clauses after purity: 0
% 59.06/9.23 % Propositional unsat core size : 0
% 59.06/9.23 % Propositional preprocessing time : 0.000
% 59.06/9.23 % Propositional encoding time : 0.000
% 59.06/9.23 % Propositional solver time : 0.000
% 59.06/9.23 % Success case prop preproc time : 0.000
% 59.06/9.23 % Success case prop encoding time : 0.000
% 59.06/9.23 % Success case prop solver time : 0.000
% 59.06/9.23 % Current number of processed clauses : 2372
% 59.06/9.23 % Positive orientable unit clauses : 815
% 59.06/9.23 % Positive unorientable unit clauses: 99
% 59.06/9.23 % Negative unit clauses : 175
% 59.06/9.23 % Non-unit-clauses : 1283
% 59.06/9.23 % Current number of unprocessed clauses: 364780
% 59.06/9.23 % ...number of literals in the above : 806608
% 59.06/9.23 % Current number of archived formulas : 0
% 59.06/9.23 % Current number of archived clauses : 702
% 59.06/9.23 % Clause-clause subsumption calls (NU) : 291924
% 59.06/9.23 % Rec. Clause-clause subsumption calls : 152757
% 59.06/9.23 % Non-unit clause-clause subsumptions : 4393
% 59.06/9.23 % Unit Clause-clause subsumption calls : 19983
% 59.06/9.23 % Rewrite failures with RHS unbound : 5393
% 59.06/9.23 % BW rewrite match attempts : 47893
% 59.06/9.23 % BW rewrite match successes : 656
% 59.06/9.23 % Condensation attempts : 0
% 59.06/9.23 % Condensation successes : 0
% 59.06/9.23 % Termbank termtop insertions : 8015672
% 59.06/9.23 % Search garbage collected termcells : 7811
% 59.06/9.23
% 59.06/9.23 % -------------------------------------------------
% 59.06/9.23 % User time : 8.079 s
% 59.06/9.23 % System time : 0.283 s
% 59.06/9.23 % Total time : 8.362 s
% 59.06/9.23 % Maximum resident set size: 6620 pages
% 59.06/9.23
% 59.06/9.23 % -------------------------------------------------
% 59.06/9.23 % User time : 40.132 s
% 59.06/9.23 % System time : 1.408 s
% 59.06/9.23 % Total time : 41.540 s
% 59.06/9.23 % Maximum resident set size: 5632 pages
% 59.06/9.23 % E exiting
%------------------------------------------------------------------------------