%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU003+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 : n015.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 02:23:40 PM UTC 2026
% Result : Theorem 2.45s 0.88s
% Output : CNFRefutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 136 ( 20 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 177 ( 69 ~; 71 |; 23 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 49 ( 0 sgn 28 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t27_funct_1,conjecture,
! [X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_dom(relation_composition(X2,X1)) = relation_dom(X2)
=> subset(relation_rng(X2),relation_dom(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_funct_1) ).
fof(t21_funct_1,axiom,
! [X1,X2] :
( ( function(X2)
& relation(X2) )
=> ! [X3] :
( ( function(X3)
& relation(X3) )
=> ( in(X1,relation_dom(relation_composition(X3,X2)))
<=> ( in(apply(X3,X1),relation_dom(X2))
& in(X1,relation_dom(X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
fof(d5_funct_1,axiom,
! [X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( X3 = apply(X1,X4)
& in(X4,relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_dom(relation_composition(X2,X1)) = relation_dom(X2)
=> subset(relation_rng(X2),relation_dom(X1)) ) ) ),
inference(assume_negation,[status(cth)],[t27_funct_1]) ).
fof(c_0_5,plain,
! [X53,X54,X55] :
( ( ~ function(X54)
| ~ relation(X54)
| ~ function(X55)
| ~ relation(X55)
| in(X53,relation_dom(relation_composition(X55,X54)))
| ~ in(apply(X55,X53),relation_dom(X54))
| ~ in(X53,relation_dom(X55)) )
& ( ~ function(X54)
| ~ relation(X54)
| ~ function(X55)
| ~ relation(X55)
| ~ in(X53,relation_dom(relation_composition(X55,X54)))
| in(apply(X55,X53),relation_dom(X54)) )
& ( ~ function(X54)
| ~ relation(X54)
| ~ function(X55)
| ~ relation(X55)
| ~ in(X53,relation_dom(relation_composition(X55,X54)))
| in(X53,relation_dom(X55)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_1])])])])]) ).
fof(c_0_6,negated_conjecture,
( ~ subset(relation_rng(esk15_0),relation_dom(esk14_0))
& relation_dom(relation_composition(esk15_0,esk14_0)) = relation_dom(esk15_0)
& function(esk15_0)
& relation(esk15_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_4])])])]) ).
fof(c_0_7,plain,
! [X15,X16,X17,X19,X20,X21,X23] :
( ( ~ function(X15)
| ~ relation(X15)
| X21 = relation_rng(X15)
| in(esk3_2(X15,X21),X21)
| esk3_2(X15,X21) = apply(X15,esk4_2(X15,X21)) )
& ( ~ function(X15)
| ~ relation(X15)
| X21 = relation_rng(X15)
| in(esk3_2(X15,X21),X21)
| in(esk4_2(X15,X21),relation_dom(X15)) )
& ( ~ function(X15)
| ~ relation(X15)
| X21 = relation_rng(X15)
| esk3_2(X15,X21) != apply(X15,X23)
| ~ in(X23,relation_dom(X15))
| ~ in(esk3_2(X15,X21),X21) )
& ( ~ function(X15)
| ~ relation(X15)
| X16 != relation_rng(X15)
| in(X19,X16)
| X19 != apply(X15,X20)
| ~ in(X20,relation_dom(X15)) )
& ( ~ function(X15)
| ~ relation(X15)
| X16 != relation_rng(X15)
| ~ in(X17,X16)
| X17 = apply(X15,esk2_3(X15,X16,X17)) )
& ( ~ function(X15)
| ~ relation(X15)
| X16 != relation_rng(X15)
| ~ in(X17,X16)
| in(esk2_3(X15,X16,X17),relation_dom(X15)) ) ),
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)],[d5_funct_1])])])])])])]) ).
cnf(c_0_8,plain,
( ~ function(X3)
| ~ relation(X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X3)))
| in(apply(X1,X2),relation_dom(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
relation_dom(relation_composition(esk15_0,esk14_0)) = relation_dom(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
relation(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
function(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
function(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( ~ function(X2)
| ~ relation(X2)
| X3 != relation_rng(X2)
| ~ in(X1,X3)
| X1 = apply(X2,esk2_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( ~ in(X1,relation_dom(esk15_0))
| in(apply(esk15_0,X1),relation_dom(esk14_0)) ),
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_8,c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_16,plain,
( ~ in(X2,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| apply(X1,esk2_3(X1,relation_rng(X1),X2)) = X2 ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( ~ function(X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2)
| in(esk2_3(X1,X2,X3),relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_18,plain,
! [X9,X10,X11,X12,X13] :
( ( subset(X12,X13)
| ~ in(esk1_2(X12,X13),X13) )
& ( subset(X12,X13)
| in(esk1_2(X12,X13),X12) )
& ( in(X11,X10)
| ~ in(X11,X9)
| ~ subset(X9,X10) ) ),
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_tarski])])])])])])]) ).
cnf(c_0_19,negated_conjecture,
( ~ in(X1,relation_rng(esk15_0))
| ~ in(esk2_3(esk15_0,relation_rng(esk15_0),X1),relation_dom(esk15_0))
| in(X1,relation_dom(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_11]),c_0_13])]) ).
cnf(c_0_20,plain,
( ~ in(X2,relation_rng(X1))
| ~ function(X1)
| ~ relation(X1)
| in(esk2_3(X1,relation_rng(X1),X2),relation_dom(X1)) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
~ subset(relation_rng(esk15_0),relation_dom(esk14_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( ~ in(esk1_2(X1,X2),X2)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( ~ in(X1,relation_rng(esk15_0))
| in(X1,relation_dom(esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_11]),c_0_13])]) ).
cnf(c_0_25,negated_conjecture,
in(esk1_2(relation_rng(esk15_0),relation_dom(esk14_0)),relation_rng(esk15_0)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ in(esk1_2(relation_rng(esk15_0),relation_dom(esk14_0)),relation_dom(esk14_0)),
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU003+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n015.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 05:49:21 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 2.45/0.88 % Version: 3.5.1
% 2.45/0.88 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.45/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.45/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.45/0.88 % Starting new_bool_3 with 300s (1) cores
% 2.45/0.88 % Starting new_bool_1 with 300s (1) cores
% 2.45/0.88 % Starting sh5l with 300s (1) cores
% 2.45/0.88 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 690113 completed with status 0
% 2.45/0.88 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.45/0.88 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.45/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.45/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.45/0.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.45/0.88 % No SInE strategy applied
% 2.45/0.88 % Search class: FGHSM-FFMM31-SFFFFFNN
% 2.45/0.88 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 2.45/0.88 % Starting SubtermCWHack with 136s (1) cores
% 2.45/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.45/0.88 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 2.45/0.88 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 2.45/0.88 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.45/0.88 % G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 690121 completed with status 0
% 2.45/0.88 % Result found by G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 2.45/0.88 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.45/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.45/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.45/0.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.45/0.88 % No SInE strategy applied
% 2.45/0.88 % Search class: FGHSM-FFMM31-SFFFFFNN
% 2.45/0.88 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 2.45/0.88 % Starting SubtermCWHack with 136s (1) cores
% 2.45/0.88 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.45/0.88 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 2.45/0.88 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 2.45/0.88 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.45/0.88 % Preprocessing time : 0.001 s
% 2.45/0.88 % Presaturation interreduction done
% 2.45/0.88
% 2.45/0.88 % Proof found!
% 2.45/0.88 % SZS status Theorem
% 2.45/0.88 % SZS output start CNFRefutation
% See solution above
% 2.45/0.88 % Parsed axioms : 37
% 2.45/0.88 % Removed by relevancy pruning/SinE : 0
% 2.45/0.88 % Initial clauses : 66
% 2.45/0.88 % Removed in clause preprocessing : 0
% 2.45/0.88 % Initial clauses in saturation : 66
% 2.45/0.88 % Processed clauses : 6217
% 2.45/0.88 % ...of these trivial : 5
% 2.45/0.88 % ...subsumed : 5456
% 2.45/0.88 % ...remaining for further processing : 756
% 2.45/0.88 % Other redundant clauses eliminated : 4
% 2.45/0.88 % Clauses deleted for lack of memory : 0
% 2.45/0.88 % Backward-subsumed : 164
% 2.45/0.88 % Backward-rewritten : 11
% 2.45/0.88 % Generated clauses : 36495
% 2.45/0.88 % ...of the previous two non-redundant : 33870
% 2.45/0.88 % ...aggressively subsumed : 0
% 2.45/0.88 % Contextual simplify-reflections : 55
% 2.45/0.88 % Paramodulations : 36490
% 2.45/0.88 % Factorizations : 2
% 2.45/0.88 % NegExts : 0
% 2.45/0.88 % Equation resolutions : 4
% 2.45/0.88 % Disequality decompositions : 0
% 2.45/0.88 % Total rewrite steps : 14570
% 2.45/0.88 % ...of those cached : 14535
% 2.45/0.88 % Propositional unsat checks : 0
% 2.45/0.88 % Propositional check models : 0
% 2.45/0.88 % Propositional check unsatisfiable : 0
% 2.45/0.88 % Propositional clauses : 0
% 2.45/0.88 % Propositional clauses after purity: 0
% 2.45/0.88 % Propositional unsat core size : 0
% 2.45/0.88 % Propositional preprocessing time : 0.000
% 2.45/0.88 % Propositional encoding time : 0.000
% 2.45/0.88 % Propositional solver time : 0.000
% 2.45/0.88 % Success case prop preproc time : 0.000
% 2.45/0.88 % Success case prop encoding time : 0.000
% 2.45/0.88 % Success case prop solver time : 0.000
% 2.45/0.88 % Current number of processed clauses : 516
% 2.45/0.88 % Positive orientable unit clauses : 27
% 2.45/0.88 % Positive unorientable unit clauses: 0
% 2.45/0.88 % Negative unit clauses : 16
% 2.45/0.88 % Non-unit-clauses : 473
% 2.45/0.88 % Current number of unprocessed clauses: 26061
% 2.45/0.88 % ...number of literals in the above : 136283
% 2.45/0.88 % Current number of archived formulas : 0
% 2.45/0.88 % Current number of archived clauses : 237
% 2.45/0.88 % Clause-clause subsumption calls (NU) : 102259
% 2.45/0.88 % Rec. Clause-clause subsumption calls : 71139
% 2.45/0.88 % Non-unit clause-clause subsumptions : 3140
% 2.45/0.88 % Unit Clause-clause subsumption calls : 569
% 2.45/0.88 % Rewrite failures with RHS unbound : 0
% 2.45/0.88 % BW rewrite match attempts : 17
% 2.45/0.88 % BW rewrite match successes : 7
% 2.45/0.88 % Condensation attempts : 0
% 2.45/0.88 % Condensation successes : 0
% 2.45/0.88 % Termbank termtop insertions : 497076
% 2.45/0.88 % Search garbage collected termcells : 792
% 2.45/0.88
% 2.45/0.88 % -------------------------------------------------
% 2.45/0.88 % User time : 0.341 s
% 2.45/0.88 % System time : 0.021 s
% 2.45/0.88 % Total time : 0.363 s
% 2.45/0.88 % Maximum resident set size: 3664 pages
% 2.45/0.88
% 2.45/0.88 % -------------------------------------------------
% 2.45/0.88 % User time : 1.683 s
% 2.45/0.88 % System time : 0.107 s
% 2.45/0.88 % Total time : 1.790 s
% 2.45/0.88 % Maximum resident set size: 4864 pages
% 2.45/0.88 % E exiting
%------------------------------------------------------------------------------