%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU008+1 : TPTP v9.3.1. Released v3.2.0.
% 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 : Thu Sep 24 02:27:56 PM UTC 2026
% Result : Theorem 0.09s 0.44s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 111 ( 34 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 131 ( 49 ~; 50 |; 20 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 54 ( 4 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X2)
& in(X4,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(t38_funct_1,conjecture,
! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( in(X2,set_intersection2(relation_dom(X3),X1))
=> apply(X3,X2) = apply(relation_composition(identity_relation(X1),X3),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_funct_1) ).
fof(t34_funct_1,axiom,
! [X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( X2 = identity_relation(X1)
<=> ( ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = X3 )
& relation_dom(X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
fof(dt_k6_relat_1,axiom,
! [X1] : relation(identity_relation(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(fc2_funct_1,axiom,
! [X1] :
( function(identity_relation(X1))
& relation(identity_relation(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(t23_funct_1,axiom,
! [X1,X2] :
( ( function(X2)
& relation(X2) )
=> ! [X3] :
( ( function(X3)
& relation(X3) )
=> ( in(X1,relation_dom(X2))
=> apply(relation_composition(X2,X3),X1) = apply(X3,apply(X2,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
fof(c_0_6,plain,
! [X11,X12,X13,X14,X15,X16,X17,X18] :
( ( X18 = set_intersection2(X16,X17)
| in(esk1_3(X16,X17,X18),X18)
| in(esk1_3(X16,X17,X18),X17) )
& ( X18 = set_intersection2(X16,X17)
| in(esk1_3(X16,X17,X18),X18)
| in(esk1_3(X16,X17,X18),X16) )
& ( X18 = set_intersection2(X16,X17)
| ~ in(esk1_3(X16,X17,X18),X17)
| ~ in(esk1_3(X16,X17,X18),X16)
| ~ in(esk1_3(X16,X17,X18),X18) )
& ( X13 != set_intersection2(X11,X12)
| in(X15,X13)
| ~ in(X15,X12)
| ~ in(X15,X11) )
& ( X13 != set_intersection2(X11,X12)
| ~ in(X14,X13)
| in(X14,X12) )
& ( X13 != set_intersection2(X11,X12)
| ~ in(X14,X13)
| in(X14,X11) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( in(X2,set_intersection2(relation_dom(X3),X1))
=> apply(X3,X2) = apply(relation_composition(identity_relation(X1),X3),X2) ) ),
inference(assume_negation,[status(cth)],[t38_funct_1]) ).
fof(c_0_8,plain,
! [X57,X58,X59] :
( ( ~ function(X58)
| ~ relation(X58)
| X58 = identity_relation(X57)
| relation_dom(X58) != X57
| apply(X58,esk11_2(X57,X58)) != esk11_2(X57,X58) )
& ( ~ function(X58)
| ~ relation(X58)
| X58 = identity_relation(X57)
| relation_dom(X58) != X57
| in(esk11_2(X57,X58),X57) )
& ( ~ function(X58)
| ~ relation(X58)
| X58 != identity_relation(X57)
| apply(X58,X59) = X59
| ~ in(X59,X57) )
& ( ~ function(X58)
| ~ relation(X58)
| X58 != identity_relation(X57)
| relation_dom(X58) = X57 ) ),
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)],[t34_funct_1])])])])])]) ).
fof(c_0_9,plain,
! [X22] : relation(identity_relation(X22)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
fof(c_0_10,plain,
! [X32] :
( function(identity_relation(X32))
& relation(identity_relation(X32)) ),
inference(variable_rename,[status(thm)],[fc2_funct_1]) ).
cnf(c_0_11,plain,
( X3 != set_intersection2(X4,X2)
| ~ in(X1,X3)
| in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,negated_conjecture,
( apply(esk14_0,esk13_0) != apply(relation_composition(identity_relation(esk12_0),esk14_0),esk13_0)
& in(esk13_0,set_intersection2(relation_dom(esk14_0),esk12_0))
& function(esk14_0)
& relation(esk14_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_13,plain,
! [X51,X52,X53] :
( apply(relation_composition(X52,X53),X51) = apply(X53,apply(X52,X51))
| ~ in(X51,relation_dom(X52))
| ~ function(X53)
| ~ relation(X53)
| ~ function(X52)
| ~ relation(X52) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_funct_1])])])]) ).
cnf(c_0_14,plain,
( ~ function(X1)
| ~ relation(X1)
| X1 != identity_relation(X2)
| relation_dom(X1) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
relation(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
function(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( ~ in(X1,set_intersection2(X3,X2))
| in(X1,X2) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
in(esk13_0,set_intersection2(relation_dom(esk14_0),esk12_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
apply(esk14_0,esk13_0) != apply(relation_composition(identity_relation(esk12_0),esk14_0),esk13_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( ~ in(X3,relation_dom(X1))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1)
| apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,negated_conjecture,
function(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,plain,
relation_dom(identity_relation(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_24,negated_conjecture,
in(esk13_0,esk12_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
( ~ function(X3)
| ~ relation(X3)
| X3 != identity_relation(X2)
| ~ in(X1,X2)
| apply(X3,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
apply(esk14_0,apply(identity_relation(esk12_0),esk13_0)) != apply(esk14_0,esk13_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_15]),c_0_22]),c_0_16])]),c_0_23]),c_0_24])]) ).
cnf(c_0_27,plain,
( ~ in(X2,X1)
| apply(identity_relation(X1),X2) = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_25]),c_0_15]),c_0_16])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU008+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:47:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.44 % Version: 3.5.1
% 0.09/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.44 % Starting sh5l with 300s (1) cores
% 0.09/0.44 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3538385 completed with status 0
% 0.09/0.44 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.09/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.44 % No SInE strategy applied
% 0.09/0.44 % Search class: FGHSM-FFMM31-MFFFFFNN
% 0.09/0.44 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.09/0.44 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 0.09/0.44 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 0.09/0.44 % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 0.09/0.44 % G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with pid 3538393 completed with status 0
% 0.09/0.44 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y
% 0.09/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.44 % No SInE strategy applied
% 0.09/0.44 % Search class: FGHSM-FFMM31-MFFFFFNN
% 0.09/0.44 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.09/0.44 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 0.09/0.44 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 0.09/0.44 % Preprocessing time : 0.002 s
% 0.09/0.44
% 0.09/0.44 % Proof found!
% 0.09/0.44 % SZS status Theorem
% 0.09/0.44 % SZS output start CNFRefutation
% See solution above
% 0.09/0.44 % Parsed axioms : 41
% 0.09/0.44 % Removed by relevancy pruning/SinE : 0
% 0.09/0.44 % Initial clauses : 67
% 0.09/0.44 % Removed in clause preprocessing : 0
% 0.09/0.44 % Initial clauses in saturation : 67
% 0.09/0.44 % Processed clauses : 325
% 0.09/0.44 % ...of these trivial : 6
% 0.09/0.44 % ...subsumed : 164
% 0.09/0.44 % ...remaining for further processing : 155
% 0.09/0.44 % Other redundant clauses eliminated : 7
% 0.09/0.44 % Clauses deleted for lack of memory : 0
% 0.09/0.44 % Backward-subsumed : 1
% 0.09/0.44 % Backward-rewritten : 11
% 0.09/0.44 % Generated clauses : 662
% 0.09/0.44 % ...of the previous two non-redundant : 551
% 0.09/0.44 % ...aggressively subsumed : 0
% 0.09/0.44 % Contextual simplify-reflections : 0
% 0.09/0.44 % Paramodulations : 648
% 0.09/0.44 % Factorizations : 4
% 0.09/0.44 % NegExts : 0
% 0.09/0.44 % Equation resolutions : 7
% 0.09/0.44 % Disequality decompositions : 0
% 0.09/0.44 % Total rewrite steps : 166
% 0.09/0.44 % ...of those cached : 138
% 0.09/0.44 % Propositional unsat checks : 0
% 0.09/0.44 % Propositional check models : 0
% 0.09/0.44 % Propositional check unsatisfiable : 0
% 0.09/0.44 % Propositional clauses : 0
% 0.09/0.44 % Propositional clauses after purity: 0
% 0.09/0.44 % Propositional unsat core size : 0
% 0.09/0.44 % Propositional preprocessing time : 0.000
% 0.09/0.44 % Propositional encoding time : 0.000
% 0.09/0.44 % Propositional solver time : 0.000
% 0.09/0.44 % Success case prop preproc time : 0.000
% 0.09/0.44 % Success case prop encoding time : 0.000
% 0.09/0.44 % Success case prop solver time : 0.000
% 0.09/0.44 % Current number of processed clauses : 135
% 0.09/0.44 % Positive orientable unit clauses : 32
% 0.09/0.44 % Positive unorientable unit clauses: 1
% 0.09/0.44 % Negative unit clauses : 15
% 0.09/0.44 % Non-unit-clauses : 87
% 0.09/0.44 % Current number of unprocessed clauses: 277
% 0.09/0.44 % ...number of literals in the above : 898
% 0.09/0.44 % Current number of archived formulas : 0
% 0.09/0.44 % Current number of archived clauses : 12
% 0.09/0.44 % Clause-clause subsumption calls (NU) : 1459
% 0.09/0.44 % Rec. Clause-clause subsumption calls : 1212
% 0.09/0.44 % Non-unit clause-clause subsumptions : 123
% 0.09/0.44 % Unit Clause-clause subsumption calls : 175
% 0.09/0.44 % Rewrite failures with RHS unbound : 0
% 0.09/0.44 % BW rewrite match attempts : 14
% 0.09/0.44 % BW rewrite match successes : 10
% 0.09/0.44 % Condensation attempts : 0
% 0.09/0.44 % Condensation successes : 0
% 0.09/0.44 % Termbank termtop insertions : 9292
% 0.09/0.44 % Search garbage collected termcells : 722
% 0.09/0.44
% 0.09/0.44 % -------------------------------------------------
% 0.09/0.44 % User time : 0.019 s
% 0.09/0.44 % System time : 0.004 s
% 0.09/0.44 % Total time : 0.023 s
% 0.09/0.44 % Maximum resident set size: 3668 pages
% 0.09/0.44
% 0.09/0.44 % -------------------------------------------------
% 0.09/0.44 % User time : 0.082 s
% 0.09/0.44 % System time : 0.016 s
% 0.09/0.44 % Total time : 0.099 s
% 0.09/0.44 % Maximum resident set size: 4864 pages
% 0.09/0.44 % E exiting
%------------------------------------------------------------------------------