%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV166^5 : 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 : n007.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 08:35:08 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 29 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 72 ( 10 ~; 10 |; 5 &; 44 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 4 ^; 17 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
esk1_0: a ).
thf(decl_24,type,
esk2_0: a ).
thf(decl_25,type,
esk3_0: a ).
thf(decl_26,type,
esk4_0: a ).
thf(decl_27,type,
esk5_0: a > a > a ).
thf(cTHM182_pme,conjecture,
! [X1: a,X2: a,X3: a,X4: a] :
( ( ( ^ [X5: a > a > a] : ( X5 @ X1 @ X2 ) )
= ( ^ [X5: a > a > a] : ( X5 @ X3 @ X4 ) ) )
<=> ( ( X1 = X3 )
& ( X2 = X4 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.yIIuRUOdSD/E---3.1_3490512.p',cTHM182_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a,X2: a,X3: a,X4: a] :
( ( ( ^ [X5: a > a > a] : ( X5 @ X1 @ X2 ) )
= ( ^ [X5: a > a > a] : ( X5 @ X3 @ X4 ) ) )
<=> ( ( X1 = X3 )
& ( X2 = X4 ) ) ),
inference(assume_negation,[status(cth)],[cTHM182_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a,X2: a,X3: a,X4: a] :
( ! [X10: a > a > a] :
( ( X10 @ X1 @ X2 )
= ( X10 @ X3 @ X4 ) )
<=> ( ( X1 = X3 )
& ( X2 = X4 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])]) ).
thf(c_0_3,negated_conjecture,
! [X16: a > a > a] :
( ( ( ( esk5_0 @ esk1_0 @ esk2_0 )
!= ( esk5_0 @ esk3_0 @ esk4_0 ) )
| ( esk1_0 != esk3_0 )
| ( esk2_0 != esk4_0 ) )
& ( ( esk1_0 = esk3_0 )
| ( ( X16 @ esk1_0 @ esk2_0 )
= ( X16 @ esk3_0 @ esk4_0 ) ) )
& ( ( esk2_0 = esk4_0 )
| ( ( X16 @ esk1_0 @ esk2_0 )
= ( X16 @ esk3_0 @ esk4_0 ) ) ) ),
inference(distribute,[status(thm)],[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_2])])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X5: a > a > a] :
( ( esk1_0 = esk3_0 )
| ( ( X5 @ esk1_0 @ esk2_0 )
= ( X5 @ esk3_0 @ esk4_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X5: a > a > a] :
( ( esk2_0 = esk4_0 )
| ( ( X5 @ esk1_0 @ esk2_0 )
= ( X5 @ esk3_0 @ esk4_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
esk3_0 = esk1_0,
inference(ef,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
( ( ( esk5_0 @ esk1_0 @ esk2_0 )
!= ( esk5_0 @ esk3_0 @ esk4_0 ) )
| ( esk1_0 != esk3_0 )
| ( esk2_0 != esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
! [X5: a > a > a] :
( ( ( X5 @ esk1_0 @ esk4_0 )
= ( X5 @ esk1_0 @ esk2_0 ) )
| ( esk2_0 = esk4_0 ) ),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_9,negated_conjecture,
( ( ( esk5_0 @ esk1_0 @ esk2_0 )
!= ( esk5_0 @ esk1_0 @ esk4_0 ) )
| ( esk2_0 != esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_6]),c_0_6])]) ).
thf(c_0_10,negated_conjecture,
esk2_0 = esk4_0,
inference(ef,[status(thm)],[c_0_8]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV166^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 15:16:10 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 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.yIIuRUOdSD/E---3.1_3490512.p
% 0.08/0.26 % Version: 3.5.1-ho
% 0.08/0.26 % Preprocessing class: HSSSSMSSSSSNHHN.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting post_as_ho2 with 1500s (5) cores
% 0.08/0.26 % Starting new_ho_13 with 300s (1) cores
% 0.08/0.26 % Starting new_ho_8 with 300s (1) cores
% 0.08/0.26 % Starting new_ho_4 with 300s (1) cores
% 0.08/0.26 % new_ho_13 with pid 3490550 completed with status 0
% 0.08/0.26 % Result found by new_ho_13
% 0.08/0.26 % Preprocessing class: HSSSSMSSSSSNHHN.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting post_as_ho2 with 1500s (5) cores
% 0.08/0.26 % Starting new_ho_13 with 300s (1) cores
% 0.08/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.26 % No SInE strategy applied
% 0.08/0.26 % Search class: HGHPF-FFSF00-SHHFFMNN
% 0.08/0.26 % partial match(2): HUHPF-FFSF00-SHHFFFNN
% 0.08/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.26 % SubtermCWHack with pid 3490558 completed with status 10
% 0.08/0.26 % Starting new_ho_13 with 31s (1) cores
% 0.08/0.26 % new_ho_13 with pid 3490563 completed with status 0
% 0.08/0.26 % Result found by new_ho_13
% 0.08/0.26 % Preprocessing class: HSSSSMSSSSSNHHN.
% 0.08/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting post_as_ho2 with 1500s (5) cores
% 0.08/0.26 % Starting new_ho_13 with 300s (1) cores
% 0.08/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.26 % No SInE strategy applied
% 0.08/0.26 % Search class: HGHPF-FFSF00-SHHFFMNN
% 0.08/0.26 % partial match(2): HUHPF-FFSF00-SHHFFFNN
% 0.08/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.26 % SubtermCWHack with pid 3490558 completed with status 10
% 0.08/0.26 % Starting new_ho_13 with 31s (1) cores
% 0.08/0.26 % Preprocessing time : 0.001 s
% 0.08/0.26 % Presaturation interreduction done
% 0.08/0.26
% 0.08/0.26 % Proof found!
% 0.08/0.26 % SZS status Theorem
% 0.08/0.26 % SZS output start CNFRefutation
% See solution above
% 0.08/0.26 % Parsed axioms : 2
% 0.08/0.26 % Removed by relevancy pruning/SinE : 0
% 0.08/0.26 % Initial clauses : 4
% 0.08/0.26 % Removed in clause preprocessing : 1
% 0.08/0.26 % Initial clauses in saturation : 3
% 0.08/0.26 % Processed clauses : 10
% 0.08/0.26 % ...of these trivial : 0
% 0.08/0.26 % ...subsumed : 0
% 0.08/0.26 % ...remaining for further processing : 10
% 0.08/0.26 % Other redundant clauses eliminated : 0
% 0.08/0.26 % Clauses deleted for lack of memory : 0
% 0.08/0.26 % Backward-subsumed : 0
% 0.08/0.26 % Backward-rewritten : 5
% 0.08/0.26 % Generated clauses : 11
% 0.08/0.26 % ...of the previous two non-redundant : 13
% 0.08/0.26 % ...aggressively subsumed : 0
% 0.08/0.26 % Contextual simplify-reflections : 0
% 0.08/0.26 % Paramodulations : 5
% 0.08/0.26 % Factorizations : 6
% 0.08/0.26 % NegExts : 0
% 0.08/0.26 % Equation resolutions : 0
% 0.08/0.26 % Disequality decompositions : 0
% 0.08/0.26 % Total rewrite steps : 7
% 0.08/0.26 % ...of those cached : 5
% 0.08/0.26 % Propositional unsat checks : 0
% 0.08/0.26 % Propositional check models : 0
% 0.08/0.26 % Propositional check unsatisfiable : 0
% 0.08/0.26 % Propositional clauses : 0
% 0.08/0.26 % Propositional clauses after purity: 0
% 0.08/0.26 % Propositional unsat core size : 0
% 0.08/0.26 % Propositional preprocessing time : 0.000
% 0.08/0.26 % Propositional encoding time : 0.000
% 0.08/0.26 % Propositional solver time : 0.000
% 0.08/0.26 % Success case prop preproc time : 0.000
% 0.08/0.26 % Success case prop encoding time : 0.000
% 0.08/0.26 % Success case prop solver time : 0.000
% 0.08/0.26 % Current number of processed clauses : 2
% 0.08/0.26 % Positive orientable unit clauses : 2
% 0.08/0.26 % Positive unorientable unit clauses: 0
% 0.08/0.26 % Negative unit clauses : 0
% 0.08/0.26 % Non-unit-clauses : 0
% 0.08/0.26 % Current number of unprocessed clauses: 4
% 0.08/0.26 % ...number of literals in the above : 8
% 0.08/0.26 % Current number of archived formulas : 0
% 0.08/0.26 % Current number of archived clauses : 9
% 0.08/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.08/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.08/0.26 % Non-unit clause-clause subsumptions : 0
% 0.08/0.26 % Unit Clause-clause subsumption calls : 0
% 0.08/0.26 % Rewrite failures with RHS unbound : 0
% 0.08/0.26 % BW rewrite match attempts : 2
% 0.08/0.26 % BW rewrite match successes : 2
% 0.08/0.26 % Condensation attempts : 0
% 0.08/0.26 % Condensation successes : 0
% 0.08/0.26 % Termbank termtop insertions : 1284
% 0.08/0.26 % Search garbage collected termcells : 113
% 0.08/0.26
% 0.08/0.26 % -------------------------------------------------
% 0.08/0.26 % User time : 0.004 s
% 0.08/0.26 % System time : 0.002 s
% 0.08/0.26 % Total time : 0.006 s
% 0.08/0.26 % Maximum resident set size: 3576 pages
% 0.08/0.26
% 0.08/0.26 % -------------------------------------------------
% 0.08/0.26 % User time : 0.006 s
% 0.08/0.26 % System time : 0.003 s
% 0.08/0.26 % Total time : 0.009 s
% 0.08/0.26 % Maximum resident set size: 4864 pages
% 0.08/0.26 % E exiting
%------------------------------------------------------------------------------