%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU856^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 08:25:50 AM UTC 2026
% Result : Theorem 0.09s 0.27s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 1
% Syntax : Number of formulae : 33 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 157 ( 30 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 240 ( 65 ~; 53 |; 23 &; 93 @)
% ( 4 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 18 ^; 12 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > $o ).
thf(decl_24,type,
epred2_0: a > $o ).
thf(decl_25,type,
esk3_0: a ).
thf(decl_27,type,
esk5_0: a ).
thf(decl_28,type,
esk6_0: a ).
thf(cGAZING_THM46_pme,conjecture,
! [X1: a > $o,X2: a > $o] :
( ( X1 = X2 )
<=> ( ( ^ [X3: a] :
( ( ( X2 @ X3 )
& ~ ( X1 @ X3 ) )
| ( ( X1 @ X3 )
& ~ ( X2 @ X3 ) ) ) )
= ( ^ [X4: a] : ~ $true ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.j0VJH0ZP2b/E---3.1_1753910.p',cGAZING_THM46_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o] :
( ( X1 = X2 )
<=> ( ( ^ [X3: a] :
( ( ( X2 @ X3 )
& ~ ( X1 @ X3 ) )
| ( ( X1 @ X3 )
& ~ ( X2 @ X3 ) ) ) )
= ( ^ [X4: a] : ~ $true ) ) ),
inference(assume_negation,[status(cth)],[cGAZING_THM46_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o] :
( ( X1 = X2 )
<=> ( ( ^ [Z0: a] :
( ( ( X2 @ Z0 )
& ~ ( X1 @ Z0 ) )
| ( ( X1 @ Z0 )
& ~ ( X2 @ Z0 ) ) ) )
= ( ^ [Z0: a] : ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
( ( ( epred1_0 != epred2_0 )
| ( ( ^ [Z0: a] :
( ( ( epred2_0 @ Z0 )
& ~ ( epred1_0 @ Z0 ) )
| ( ( epred1_0 @ Z0 )
& ~ ( epred2_0 @ Z0 ) ) ) )
!= ( ^ [Z0: a] : ~ $true ) ) )
& ( ( epred1_0 = epred2_0 )
| ( ( ^ [Z0: a] :
( ( ( epred2_0 @ Z0 )
& ~ ( epred1_0 @ Z0 ) )
| ( ( epred1_0 @ Z0 )
& ~ ( epred2_0 @ Z0 ) ) ) )
= ( ^ [Z0: a] : ~ $true ) ) ) ),
inference(fof_nnf,[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,
( ( epred1_0 != epred2_0 )
| ( ( ^ [Z0: a] :
( ( ( epred2_0 @ Z0 )
& ~ ( epred1_0 @ Z0 ) )
| ( ( epred1_0 @ Z0 )
& ~ ( epred2_0 @ Z0 ) ) ) )
!= ( ^ [Z0: a] : ~ $true ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ( ( ^ [Z0: a] :
( ( ( epred2_0 @ Z0 )
& ~ ( epred1_0 @ Z0 ) )
| ( ( epred1_0 @ Z0 )
& ~ ( epred2_0 @ Z0 ) ) ) )
!= ( ^ [Z0: a] : ~ $true ) )
| ( epred2_0 != epred1_0 ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
( ( epred1_0 = epred2_0 )
| ( ( ^ [Z0: a] :
( ( ( epred2_0 @ Z0 )
& ~ ( epred1_0 @ Z0 ) )
| ( ( epred1_0 @ Z0 )
& ~ ( epred2_0 @ Z0 ) ) ) )
= ( ^ [Z0: a] : ~ $true ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
( ( ( epred2_0 @ esk3_0 )
& ~ ( epred1_0 @ esk3_0 ) )
| ( ( epred1_0 @ esk3_0 )
& ~ ( epred2_0 @ esk3_0 ) )
| ( epred2_0 != epred1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
( ( ( ^ [Z0: a] :
( ( ( epred2_0 @ Z0 )
& ~ ( epred1_0 @ Z0 ) )
| ( ( epred1_0 @ Z0 )
& ~ ( epred2_0 @ Z0 ) ) ) )
= ( ^ [Z0: a] : ~ $true ) )
| ( epred2_0 = epred1_0 ) ),
inference(cn,[status(thm)],[c_0_6]) ).
thf(c_0_9,negated_conjecture,
( ( epred2_0 @ esk3_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 != epred1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_7]) ).
thf(c_0_10,negated_conjecture,
! [X9: a] :
( ( epred2_0 = epred1_0 )
| ~ ( ( ( epred2_0 @ X9 )
& ~ ( epred1_0 @ X9 ) )
| ( ( epred1_0 @ X9 )
& ~ ( epred2_0 @ X9 ) ) ) ),
inference(arg_cong,[status(thm)],[c_0_8]) ).
thf(c_0_11,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 )
| ( ( epred2_0 @ esk6_0 )
<~> ( epred1_0 @ esk6_0 ) ) ),
inference(neg_ext,[status(thm)],[c_0_9]) ).
thf(c_0_12,negated_conjecture,
( ( epred2_0 != epred1_0 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk3_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_7]) ).
thf(c_0_13,negated_conjecture,
! [X3: a] :
( ( epred2_0 = epred1_0 )
| ( epred1_0 @ X3 )
| ~ ( epred2_0 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_10]) ).
thf(c_0_14,negated_conjecture,
( ( epred2_0 @ esk3_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 )
| ( epred2_0 @ esk6_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_11]) ).
thf(c_0_15,negated_conjecture,
( ( ( epred2_0 @ esk5_0 )
<~> ( epred1_0 @ esk5_0 ) )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_12]) ).
thf(c_0_16,negated_conjecture,
( ( epred2_0 @ esk3_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk6_0 )
| ~ ( epred1_0 @ esk6_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_11]) ).
thf(c_0_17,negated_conjecture,
! [X3: a] :
( ( epred2_0 = epred1_0 )
| ( epred2_0 @ X3 )
| ~ ( epred1_0 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_10]) ).
thf(c_0_18,negated_conjecture,
( ( epred2_0 = epred1_0 )
| ( epred1_0 @ esk6_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_13]) ).
thf(c_0_19,negated_conjecture,
( ~ ( epred2_0 @ esk5_0 )
| ~ ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk3_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_15]) ).
thf(c_0_20,negated_conjecture,
( ( epred2_0 = epred1_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_17]) ).
thf(c_0_21,negated_conjecture,
( ( epred2_0 = epred1_0 )
| ~ ( epred1_0 @ esk5_0 )
| ~ ( epred2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_13]) ).
thf(c_0_22,negated_conjecture,
( ( epred1_0 @ esk5_0 )
| ( epred2_0 @ esk5_0 )
| ~ ( epred2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk3_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_15]) ).
thf(c_0_23,negated_conjecture,
( ( epred2_0 = epred1_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
thf(c_0_24,negated_conjecture,
( ( epred2_0 = epred1_0 )
| ~ ( epred1_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
thf(c_0_25,negated_conjecture,
epred2_0 = epred1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_17]),c_0_23]),c_0_13]),c_0_24]) ).
thf(c_0_26,negated_conjecture,
! [X24: a] :
( ( epred2_0 @ X24 )
<=> ( epred1_0 @ X24 ) ),
inference(arg_cong,[status(thm)],[c_0_25]) ).
thf(c_0_27,negated_conjecture,
! [X3: a] :
( ( epred1_0 @ X3 )
| ~ ( epred2_0 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_26]) ).
thf(c_0_28,negated_conjecture,
( ~ ( epred2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_25])]) ).
thf(c_0_29,negated_conjecture,
epred1_0 @ esk3_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_25])]),c_0_27]) ).
thf(c_0_30,negated_conjecture,
~ ( epred2_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).
thf(c_0_31,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 )
| ~ ( epred1_0 @ X3 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_26]) ).
thf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU856^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 14:40:01 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.j0VJH0ZP2b/E---3.1_1753910.p
% 0.09/0.27 % Version: 3.5.1-ho
% 0.09/0.27 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.09/0.27 % Starting post_as_ho10 with 300s (1) cores
% 0.09/0.27 % Starting new_bool_9 with 300s (1) cores
% 0.09/0.27 % Starting sh5l with 300s (1) cores
% 0.09/0.27 % ehoh_best_nonlift_nonlambdatoforall with pid 1753945 completed with status 0
% 0.09/0.27 % Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.09/0.27 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.09/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.27 % No SInE strategy applied
% 0.09/0.27 % Search class: HGHPF-FFSF00-MSSFFFNN
% 0.09/0.27 % partial match(2): HGHNF-FFSF00-SSSFFFNN
% 0.09/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.09/0.27 % Starting sh5l with 136s (1) cores
% 0.09/0.27 % Starting new_bool_3 with 136s (1) cores
% 0.09/0.27 % Starting new_bool_1 with 136s (1) cores
% 0.09/0.27 % SubtermCWHack with pid 1753949 completed with status 10
% 0.09/0.27 % Starting new_bool_2 with 136s (1) cores
% 0.09/0.27 % new_bool_2 with pid 1753957 completed with status 0
% 0.09/0.27 % Result found by new_bool_2
% 0.09/0.27 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.09/0.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.27 % No SInE strategy applied
% 0.09/0.27 % Search class: HGHPF-FFSF00-MSSFFFNN
% 0.09/0.27 % partial match(2): HGHNF-FFSF00-SSSFFFNN
% 0.09/0.27 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.27 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.27 % Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.09/0.27 % Starting sh5l with 136s (1) cores
% 0.09/0.27 % Starting new_bool_3 with 136s (1) cores
% 0.09/0.27 % Starting new_bool_1 with 136s (1) cores
% 0.09/0.27 % SubtermCWHack with pid 1753949 completed with status 10
% 0.09/0.27 % Starting new_bool_2 with 136s (1) cores
% 0.09/0.27 % Preprocessing time : 0.001 s
% 0.09/0.27 % Presaturation interreduction done
% 0.09/0.27
% 0.09/0.27 % Proof found!
% 0.09/0.27 % SZS status Theorem
% 0.09/0.27 % SZS output start CNFRefutation
% See solution above
% 0.09/0.27 % Parsed axioms : 2
% 0.09/0.27 % Removed by relevancy pruning/SinE : 0
% 0.09/0.27 % Initial clauses : 3
% 0.09/0.27 % Removed in clause preprocessing : 1
% 0.09/0.27 % Initial clauses in saturation : 2
% 0.09/0.27 % Processed clauses : 41
% 0.09/0.27 % ...of these trivial : 0
% 0.09/0.27 % ...subsumed : 3
% 0.09/0.27 % ...remaining for further processing : 38
% 0.09/0.27 % Other redundant clauses eliminated : 0
% 0.09/0.27 % Clauses deleted for lack of memory : 0
% 0.09/0.27 % Backward-subsumed : 9
% 0.09/0.27 % Backward-rewritten : 12
% 0.09/0.27 % Generated clauses : 60
% 0.09/0.27 % ...of the previous two non-redundant : 55
% 0.09/0.27 % ...aggressively subsumed : 0
% 0.09/0.27 % Contextual simplify-reflections : 8
% 0.09/0.27 % Paramodulations : 22
% 0.09/0.27 % Factorizations : 0
% 0.09/0.27 % NegExts : 4
% 0.09/0.27 % Equation resolutions : 0
% 0.09/0.27 % Disequality decompositions : 0
% 0.09/0.27 % Total rewrite steps : 13
% 0.09/0.27 % ...of those cached : 11
% 0.09/0.27 % Propositional unsat checks : 0
% 0.09/0.27 % Propositional check models : 0
% 0.09/0.27 % Propositional check unsatisfiable : 0
% 0.09/0.27 % Propositional clauses : 0
% 0.09/0.27 % Propositional clauses after purity: 0
% 0.09/0.27 % Propositional unsat core size : 0
% 0.09/0.27 % Propositional preprocessing time : 0.000
% 0.09/0.27 % Propositional encoding time : 0.000
% 0.09/0.27 % Propositional solver time : 0.000
% 0.09/0.27 % Success case prop preproc time : 0.000
% 0.09/0.27 % Success case prop encoding time : 0.000
% 0.09/0.27 % Success case prop solver time : 0.000
% 0.09/0.27 % Current number of processed clauses : 5
% 0.09/0.27 % Positive orientable unit clauses : 2
% 0.09/0.27 % Positive unorientable unit clauses: 0
% 0.09/0.27 % Negative unit clauses : 1
% 0.09/0.27 % Non-unit-clauses : 2
% 0.09/0.27 % Current number of unprocessed clauses: 17
% 0.09/0.27 % ...number of literals in the above : 57
% 0.09/0.27 % Current number of archived formulas : 0
% 0.09/0.27 % Current number of archived clauses : 33
% 0.09/0.27 % Clause-clause subsumption calls (NU) : 56
% 0.09/0.27 % Rec. Clause-clause subsumption calls : 49
% 0.09/0.27 % Non-unit clause-clause subsumptions : 20
% 0.09/0.27 % Unit Clause-clause subsumption calls : 3
% 0.09/0.27 % Rewrite failures with RHS unbound : 0
% 0.09/0.27 % BW rewrite match attempts : 2
% 0.09/0.27 % BW rewrite match successes : 2
% 0.09/0.27 % Condensation attempts : 0
% 0.09/0.27 % Condensation successes : 0
% 0.09/0.27 % Termbank termtop insertions : 2191
% 0.09/0.27 % Search garbage collected termcells : 76
% 0.09/0.27
% 0.09/0.27 % -------------------------------------------------
% 0.09/0.27 % User time : 0.005 s
% 0.09/0.27 % System time : 0.004 s
% 0.09/0.27 % Total time : 0.009 s
% 0.09/0.27 % Maximum resident set size: 3628 pages
% 0.09/0.27
% 0.09/0.27 % -------------------------------------------------
% 0.09/0.27 % User time : 0.021 s
% 0.09/0.27 % System time : 0.013 s
% 0.09/0.27 % Total time : 0.034 s
% 0.09/0.27 % Maximum resident set size: 4864 pages
% 0.09/0.27 % E exiting
%------------------------------------------------------------------------------