%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO102^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 : Wed Sep 30 08:43:50 AM UTC 2026
% Result : Theorem 0.10s 0.24s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 97 ( 9 ~; 6 |; 10 &; 66 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
cP: $i > $i > $o ).
thf(decl_24,type,
esk1_0: $i ).
thf(decl_25,type,
esk2_0: $i ).
thf(decl_26,type,
esk3_0: $i ).
thf(cTHM101,conjecture,
( ( ! [X1: $i] : ( cP @ X1 @ X1 )
& ! [X1: $i,X2: $i,X3: $i] :
( ( ( cP @ X1 @ X2 )
& ( cP @ X3 @ X2 ) )
=> ( cP @ X1 @ X3 ) ) )
=> ! [X4: $i,X5: $i,X6: $i] :
( ( ( cP @ X4 @ X5 )
& ( cP @ X5 @ X6 ) )
=> ( cP @ X4 @ X6 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.lKSfIpaTEn/E---3.1_2712927.p',cTHM101) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: $i] : ( cP @ X1 @ X1 )
& ! [X1: $i,X2: $i,X3: $i] :
( ( ( cP @ X1 @ X2 )
& ( cP @ X3 @ X2 ) )
=> ( cP @ X1 @ X3 ) ) )
=> ! [X4: $i,X5: $i,X6: $i] :
( ( ( cP @ X4 @ X5 )
& ( cP @ X5 @ X6 ) )
=> ( cP @ X4 @ X6 ) ) ),
inference(assume_negation,[status(cth)],[cTHM101]) ).
thf(c_0_2,negated_conjecture,
! [X14: $i,X15: $i,X16: $i,X17: $i] :
( ( cP @ X14 @ X14 )
& ( ~ ( cP @ X15 @ X16 )
| ~ ( cP @ X17 @ X16 )
| ( cP @ X15 @ X17 ) )
& ( cP @ esk1_0 @ esk2_0 )
& ( cP @ esk2_0 @ esk3_0 )
& ~ ( cP @ esk1_0 @ esk3_0 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( cP @ X1 @ X3 )
| ~ ( cP @ X1 @ X2 )
| ~ ( cP @ X3 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
cP @ esk2_0 @ esk3_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i] :
( ( cP @ X1 @ esk2_0 )
| ~ ( cP @ X1 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i] : ( cP @ X1 @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
cP @ esk3_0 @ esk2_0,
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_8,negated_conjecture,
! [X1: $i] :
( ( cP @ X1 @ esk3_0 )
| ~ ( cP @ X1 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_7]) ).
thf(c_0_9,negated_conjecture,
cP @ esk1_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
~ ( cP @ esk1_0 @ esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO102^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n003.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 16:35:49 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.10/0.22 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.lKSfIpaTEn/E---3.1_2712927.p
% 0.10/0.24 % Version: 3.5.1-ho
% 0.10/0.24 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.10/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.24 % Starting ho_unfolding_6 with 300s (1) cores
% 0.10/0.24 % Starting sh4l with 300s (1) cores
% 0.10/0.24 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.10/0.24 % new_ho_10 with pid 2712959 completed with status 0
% 0.10/0.24 % Result found by new_ho_10
% 0.10/0.24 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.10/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.24 % No SInE strategy applied
% 0.10/0.24 % Search class: HHUNF-FFSF00-SFFFFFNN
% 0.10/0.24 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.24 % Starting SubtermCWHack with 151s (1) cores
% 0.10/0.24 % Starting new_ho_10 with 901s (1) cores
% 0.10/0.24 % Starting sh5l with 151s (1) cores
% 0.10/0.24 % Starting new_bool_1 with 151s (1) cores
% 0.10/0.24 % Starting new_bool_2 with 146s (1) cores
% 0.10/0.24 % new_bool_1 with pid 2712966 completed with status 0
% 0.10/0.24 % Result found by new_bool_1
% 0.10/0.24 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.10/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.24 % No SInE strategy applied
% 0.10/0.24 % Search class: HHUNF-FFSF00-SFFFFFNN
% 0.10/0.24 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.24 % Starting SubtermCWHack with 151s (1) cores
% 0.10/0.24 % Starting new_ho_10 with 901s (1) cores
% 0.10/0.24 % Starting sh5l with 151s (1) cores
% 0.10/0.24 % Starting new_bool_1 with 151s (1) cores
% 0.10/0.24 % Preprocessing time : 0.001 s
% 0.10/0.24 % Presaturation interreduction done
% 0.10/0.24
% 0.10/0.24 % Proof found!
% 0.10/0.24 % SZS status Theorem
% 0.10/0.24 % SZS output start CNFRefutation
% See solution above
% 0.10/0.24 % Parsed axioms : 2
% 0.10/0.24 % Removed by relevancy pruning/SinE : 0
% 0.10/0.24 % Initial clauses : 6
% 0.10/0.24 % Removed in clause preprocessing : 1
% 0.10/0.24 % Initial clauses in saturation : 5
% 0.10/0.24 % Processed clauses : 16
% 0.10/0.24 % ...of these trivial : 0
% 0.10/0.24 % ...subsumed : 0
% 0.10/0.24 % ...remaining for further processing : 16
% 0.10/0.24 % Other redundant clauses eliminated : 0
% 0.10/0.24 % Clauses deleted for lack of memory : 0
% 0.10/0.24 % Backward-subsumed : 0
% 0.10/0.24 % Backward-rewritten : 0
% 0.10/0.24 % Generated clauses : 14
% 0.10/0.24 % ...of the previous two non-redundant : 8
% 0.10/0.24 % ...aggressively subsumed : 0
% 0.10/0.24 % Contextual simplify-reflections : 0
% 0.10/0.24 % Paramodulations : 14
% 0.10/0.24 % Factorizations : 0
% 0.10/0.24 % NegExts : 0
% 0.10/0.24 % Equation resolutions : 0
% 0.10/0.24 % Disequality decompositions : 0
% 0.10/0.24 % Total rewrite steps : 3
% 0.10/0.24 % ...of those cached : 0
% 0.10/0.24 % Propositional unsat checks : 0
% 0.10/0.24 % Propositional check models : 0
% 0.10/0.24 % Propositional check unsatisfiable : 0
% 0.10/0.24 % Propositional clauses : 0
% 0.10/0.24 % Propositional clauses after purity: 0
% 0.10/0.24 % Propositional unsat core size : 0
% 0.10/0.24 % Propositional preprocessing time : 0.000
% 0.10/0.24 % Propositional encoding time : 0.000
% 0.10/0.24 % Propositional solver time : 0.000
% 0.10/0.24 % Success case prop preproc time : 0.000
% 0.10/0.24 % Success case prop encoding time : 0.000
% 0.10/0.24 % Success case prop solver time : 0.000
% 0.10/0.24 % Current number of processed clauses : 11
% 0.10/0.24 % Positive orientable unit clauses : 6
% 0.10/0.24 % Positive unorientable unit clauses: 0
% 0.10/0.24 % Negative unit clauses : 1
% 0.10/0.24 % Non-unit-clauses : 4
% 0.10/0.24 % Current number of unprocessed clauses: 2
% 0.10/0.24 % ...number of literals in the above : 4
% 0.10/0.24 % Current number of archived formulas : 0
% 0.10/0.24 % Current number of archived clauses : 5
% 0.10/0.24 % Clause-clause subsumption calls (NU) : 0
% 0.10/0.24 % Rec. Clause-clause subsumption calls : 0
% 0.10/0.24 % Non-unit clause-clause subsumptions : 0
% 0.10/0.24 % Unit Clause-clause subsumption calls : 0
% 0.10/0.24 % Rewrite failures with RHS unbound : 0
% 0.10/0.24 % BW rewrite match attempts : 6
% 0.10/0.24 % BW rewrite match successes : 0
% 0.10/0.24 % Condensation attempts : 0
% 0.10/0.24 % Condensation successes : 0
% 0.10/0.24 % Termbank termtop insertions : 588
% 0.10/0.24 % Search garbage collected termcells : 151
% 0.10/0.24
% 0.10/0.24 % -------------------------------------------------
% 0.10/0.24 % User time : 0.001 s
% 0.10/0.24 % System time : 0.002 s
% 0.10/0.24 % Total time : 0.003 s
% 0.10/0.24 % Maximum resident set size: 3884 pages
% 0.10/0.24
% 0.10/0.24 % -------------------------------------------------
% 0.10/0.24 % User time : 0.010 s
% 0.10/0.24 % System time : 0.008 s
% 0.10/0.24 % Total time : 0.019 s
% 0.10/0.24 % Maximum resident set size: 4864 pages
% 0.10/0.24 % E exiting
%------------------------------------------------------------------------------