%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU019+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 02:23:41 PM UTC 2026
% Result : Theorem 0.19s 0.56s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 118 ( 32 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 155 ( 64 ~; 71 |; 14 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 37 ( 3 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
fof(d8_funct_1,axiom,
! [X1] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
<=> ! [X2,X3] :
( ( apply(X1,X2) = apply(X1,X3)
& in(X3,relation_dom(X1))
& in(X2,relation_dom(X1)) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(dt_k6_relat_1,axiom,
! [X1] : relation(identity_relation(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(fc2_funct_1,axiom,
! [X1] :
( function(identity_relation(X1))
& relation(identity_relation(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(t52_funct_1,conjecture,
! [X1] : one_to_one(identity_relation(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_funct_1) ).
fof(c_0_5,plain,
! [X35,X36,X37] :
( ( ~ function(X36)
| ~ relation(X36)
| X36 = identity_relation(X35)
| relation_dom(X36) != X35
| apply(X36,esk12_2(X35,X36)) != esk12_2(X35,X36) )
& ( ~ function(X36)
| ~ relation(X36)
| X36 = identity_relation(X35)
| relation_dom(X36) != X35
| in(esk12_2(X35,X36),X35) )
& ( ~ function(X36)
| ~ relation(X36)
| X36 != identity_relation(X35)
| apply(X36,X37) = X37
| ~ in(X37,X35) )
& ( ~ function(X36)
| ~ relation(X36)
| X36 != identity_relation(X35)
| relation_dom(X36) = X35 ) ),
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_6,plain,
! [X8,X9,X10] :
( ( ~ function(X8)
| ~ relation(X8)
| one_to_one(X8)
| esk1_1(X8) != esk2_1(X8) )
& ( ~ function(X8)
| ~ relation(X8)
| one_to_one(X8)
| apply(X8,esk1_1(X8)) = apply(X8,esk2_1(X8)) )
& ( ~ function(X8)
| ~ relation(X8)
| one_to_one(X8)
| in(esk2_1(X8),relation_dom(X8)) )
& ( ~ function(X8)
| ~ relation(X8)
| one_to_one(X8)
| in(esk1_1(X8),relation_dom(X8)) )
& ( ~ function(X8)
| ~ relation(X8)
| X9 = X10
| apply(X8,X9) != apply(X8,X10)
| ~ in(X10,relation_dom(X8))
| ~ in(X9,relation_dom(X8))
| ~ one_to_one(X8) ) ),
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)],[d8_funct_1])])])])])]) ).
cnf(c_0_7,plain,
( ~ function(X3)
| ~ relation(X3)
| X3 != identity_relation(X2)
| ~ in(X1,X2)
| apply(X3,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( ~ function(X1)
| ~ relation(X1)
| one_to_one(X1)
| in(esk2_1(X1),relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( ~ function(X1)
| ~ relation(X1)
| one_to_one(X1)
| in(esk1_1(X1),relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ function(X1)
| ~ relation(X1)
| one_to_one(X1)
| apply(X1,esk1_1(X1)) = apply(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| X1 != identity_relation(relation_dom(X2))
| one_to_one(X2)
| apply(X1,esk2_1(X2)) = esk2_1(X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
fof(c_0_12,plain,
! [X13] : relation(identity_relation(X13)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
fof(c_0_13,plain,
! [X17] :
( function(identity_relation(X17))
& relation(identity_relation(X17)) ),
inference(variable_rename,[status(thm)],[fc2_funct_1]) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] : one_to_one(identity_relation(X1)),
inference(assume_negation,[status(cth)],[t52_funct_1]) ).
cnf(c_0_15,plain,
( ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| X1 != identity_relation(relation_dom(X2))
| one_to_one(X2)
| apply(X1,esk1_1(X2)) = esk1_1(X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_16,plain,
( ~ function(X1)
| ~ relation(X1)
| identity_relation(relation_dom(X1)) != X1
| one_to_one(X1)
| apply(X1,esk1_1(X1)) = esk2_1(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
( ~ function(X1)
| ~ relation(X1)
| esk1_1(X1) != esk2_1(X1)
| one_to_one(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
( ~ function(X1)
| ~ relation(X1)
| X1 != identity_relation(X2)
| relation_dom(X1) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,plain,
relation(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
function(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_21,negated_conjecture,
~ one_to_one(identity_relation(esk13_0)),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_22,plain,
( ~ function(X1)
| ~ relation(X1)
| identity_relation(relation_dom(X1)) != X1
| one_to_one(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
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_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_24,negated_conjecture,
~ one_to_one(identity_relation(esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
one_to_one(identity_relation(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_19]),c_0_20])]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU019+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 % Computer : n026.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Mon Sep 21 05:49:38 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.56 % Version: 3.5.1
% 0.19/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.56 % Starting sh5l with 300s (1) cores
% 0.19/0.56 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1495064 completed with status 0
% 0.19/0.56 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.56 % No SInE strategy applied
% 0.19/0.56 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.19/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.19/0.56 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.19/0.56 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 1495072 completed with status 0
% 0.19/0.56 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.19/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.56 % No SInE strategy applied
% 0.19/0.56 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.19/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.56 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.19/0.56 % Preprocessing time : 0.002 s
% 0.19/0.56
% 0.19/0.56 % Proof found!
% 0.19/0.56 % SZS status Theorem
% 0.19/0.56 % SZS output start CNFRefutation
% See solution above
% 0.19/0.56 % Parsed axioms : 32
% 0.19/0.56 % Removed by relevancy pruning/SinE : 0
% 0.19/0.56 % Initial clauses : 51
% 0.19/0.56 % Removed in clause preprocessing : 0
% 0.19/0.56 % Initial clauses in saturation : 51
% 0.19/0.56 % Processed clauses : 637
% 0.19/0.56 % ...of these trivial : 11
% 0.19/0.56 % ...subsumed : 378
% 0.19/0.56 % ...remaining for further processing : 248
% 0.19/0.56 % Other redundant clauses eliminated : 6
% 0.19/0.56 % Clauses deleted for lack of memory : 0
% 0.19/0.56 % Backward-subsumed : 19
% 0.19/0.56 % Backward-rewritten : 39
% 0.19/0.56 % Generated clauses : 1863
% 0.19/0.56 % ...of the previous two non-redundant : 1606
% 0.19/0.56 % ...aggressively subsumed : 0
% 0.19/0.56 % Contextual simplify-reflections : 26
% 0.19/0.56 % Paramodulations : 1849
% 0.19/0.56 % Factorizations : 0
% 0.19/0.56 % NegExts : 0
% 0.19/0.56 % Equation resolutions : 14
% 0.19/0.56 % Disequality decompositions : 0
% 0.19/0.56 % Total rewrite steps : 573
% 0.19/0.56 % ...of those cached : 510
% 0.19/0.56 % Propositional unsat checks : 0
% 0.19/0.56 % Propositional check models : 0
% 0.19/0.56 % Propositional check unsatisfiable : 0
% 0.19/0.56 % Propositional clauses : 0
% 0.19/0.56 % Propositional clauses after purity: 0
% 0.19/0.56 % Propositional unsat core size : 0
% 0.19/0.56 % Propositional preprocessing time : 0.000
% 0.19/0.56 % Propositional encoding time : 0.000
% 0.19/0.56 % Propositional solver time : 0.000
% 0.19/0.56 % Success case prop preproc time : 0.000
% 0.19/0.56 % Success case prop encoding time : 0.000
% 0.19/0.56 % Success case prop solver time : 0.000
% 0.19/0.56 % Current number of processed clauses : 190
% 0.19/0.56 % Positive orientable unit clauses : 27
% 0.19/0.56 % Positive unorientable unit clauses: 0
% 0.19/0.56 % Negative unit clauses : 14
% 0.19/0.56 % Non-unit-clauses : 149
% 0.19/0.56 % Current number of unprocessed clauses: 967
% 0.19/0.56 % ...number of literals in the above : 5112
% 0.19/0.56 % Current number of archived formulas : 0
% 0.19/0.56 % Current number of archived clauses : 58
% 0.19/0.56 % Clause-clause subsumption calls (NU) : 9487
% 0.19/0.56 % Rec. Clause-clause subsumption calls : 3421
% 0.19/0.56 % Non-unit clause-clause subsumptions : 338
% 0.19/0.56 % Unit Clause-clause subsumption calls : 620
% 0.19/0.56 % Rewrite failures with RHS unbound : 0
% 0.19/0.56 % BW rewrite match attempts : 23
% 0.19/0.56 % BW rewrite match successes : 20
% 0.19/0.56 % Condensation attempts : 0
% 0.19/0.56 % Condensation successes : 0
% 0.19/0.56 % Termbank termtop insertions : 25638
% 0.19/0.56 % Search garbage collected termcells : 485
% 0.19/0.56
% 0.19/0.56 % -------------------------------------------------
% 0.19/0.56 % User time : 0.061 s
% 0.19/0.56 % System time : 0.007 s
% 0.19/0.56 % Total time : 0.068 s
% 0.19/0.56 % Maximum resident set size: 3656 pages
% 0.19/0.56
% 0.19/0.56 % -------------------------------------------------
% 0.19/0.56 % User time : 0.295 s
% 0.19/0.56 % System time : 0.028 s
% 0.19/0.56 % Total time : 0.323 s
% 0.19/0.56 % Maximum resident set size: 4608 pages
% 0.19/0.56 % E exiting
%------------------------------------------------------------------------------