%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU290+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 02:28:51 PM UTC 2026
% Result : Theorem 0.21s 5.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 147 ( 45 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 175 ( 64 ~; 71 |; 23 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 72 ( 2 sgn 48 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_funct_2,conjecture,
! [X1,X2,X3,X4] :
( ( relation_of2_as_subset(X4,X1,X2)
& quasi_total(X4,X1,X2)
& function(X4) )
=> ( in(X3,X1)
=> ( in(apply(X4,X3),relation_rng(X4))
| X2 = empty_set ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_funct_2) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> element(X3,powerset(cartesian_product2(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_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(cc1_relset_1,axiom,
! [X1,X2,X3] :
( element(X3,powerset(cartesian_product2(X1,X2)))
=> relation(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(redefinition_k4_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> relation_dom_as_subset(X1,X2,X3) = relation_dom(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(d1_funct_2,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( ( X2 = empty_set
=> ( ( quasi_total(X3,X1,X2)
<=> X3 = empty_set )
| X1 = empty_set ) )
& ( ( X2 = empty_set
=> X1 = empty_set )
=> ( quasi_total(X3,X1,X2)
<=> X1 = relation_dom_as_subset(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( relation_of2_as_subset(X4,X1,X2)
& quasi_total(X4,X1,X2)
& function(X4) )
=> ( in(X3,X1)
=> ( in(apply(X4,X3),relation_rng(X4))
| X2 = empty_set ) ) ),
inference(assume_negation,[status(cth)],[t6_funct_2]) ).
fof(c_0_8,plain,
! [X29,X30,X31] :
( element(X31,powerset(cartesian_product2(X29,X30)))
| ~ relation_of2_as_subset(X31,X29,X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
fof(c_0_9,negated_conjecture,
( ~ in(apply(esk24_0,esk23_0),relation_rng(esk24_0))
& esk22_0 != empty_set
& in(esk23_0,esk21_0)
& relation_of2_as_subset(esk24_0,esk21_0,esk22_0)
& quasi_total(esk24_0,esk21_0,esk22_0)
& function(esk24_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_10,plain,
! [X70,X71,X72] :
( ( relation_of2_as_subset(X72,X70,X71)
| ~ relation_of2(X72,X70,X71) )
& ( relation_of2(X72,X70,X71)
| ~ relation_of2_as_subset(X72,X70,X71) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_11,plain,
! [X16,X17,X18,X20,X21,X22,X24] :
( ( ~ function(X16)
| ~ relation(X16)
| X22 = relation_rng(X16)
| in(esk2_2(X16,X22),X22)
| esk2_2(X16,X22) = apply(X16,esk3_2(X16,X22)) )
& ( ~ function(X16)
| ~ relation(X16)
| X22 = relation_rng(X16)
| in(esk2_2(X16,X22),X22)
| in(esk3_2(X16,X22),relation_dom(X16)) )
& ( ~ function(X16)
| ~ relation(X16)
| X22 = relation_rng(X16)
| esk2_2(X16,X22) != apply(X16,X24)
| ~ in(X24,relation_dom(X16))
| ~ in(esk2_2(X16,X22),X22) )
& ( ~ function(X16)
| ~ relation(X16)
| X17 != relation_rng(X16)
| in(X20,X17)
| X20 != apply(X16,X21)
| ~ in(X21,relation_dom(X16)) )
& ( ~ function(X16)
| ~ relation(X16)
| X17 != relation_rng(X16)
| ~ in(X18,X17)
| X18 = apply(X16,esk1_3(X16,X17,X18)) )
& ( ~ function(X16)
| ~ relation(X16)
| X17 != relation_rng(X16)
| ~ in(X18,X17)
| in(esk1_3(X16,X17,X18),relation_dom(X16)) ) ),
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])])])])])])]) ).
fof(c_0_12,plain,
! [X9,X10,X11] :
( relation(X11)
| ~ element(X11,powerset(cartesian_product2(X9,X10))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
cnf(c_0_13,plain,
( ~ relation_of2_as_subset(X1,X2,X3)
| element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
relation_of2_as_subset(esk24_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,plain,
! [X67,X68,X69] :
( relation_dom_as_subset(X67,X68,X69) = relation_dom(X69)
| ~ relation_of2(X69,X67,X68) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])])]) ).
cnf(c_0_16,plain,
( ~ relation_of2_as_subset(X1,X2,X3)
| relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( ~ function(X2)
| ~ relation(X2)
| X4 != relation_rng(X2)
| X3 != apply(X2,X1)
| ~ in(X1,relation_dom(X2))
| in(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( ~ element(X1,powerset(cartesian_product2(X2,X3)))
| relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
element(esk24_0,powerset(cartesian_product2(esk21_0,esk22_0))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_20,plain,
! [X13,X14,X15] :
( ( ~ relation_of2_as_subset(X15,X13,X14)
| X14 != empty_set
| X13 = empty_set
| quasi_total(X15,X13,X14)
| X15 != empty_set )
& ( ~ relation_of2_as_subset(X15,X13,X14)
| X14 != empty_set
| X13 = empty_set
| X15 = empty_set
| ~ quasi_total(X15,X13,X14) )
& ( ~ relation_of2_as_subset(X15,X13,X14)
| X13 != empty_set
| quasi_total(X15,X13,X14)
| X13 != relation_dom_as_subset(X13,X14,X15) )
& ( ~ relation_of2_as_subset(X15,X13,X14)
| X13 != empty_set
| X13 = relation_dom_as_subset(X13,X14,X15)
| ~ quasi_total(X15,X13,X14) )
& ( ~ relation_of2_as_subset(X15,X13,X14)
| X14 = empty_set
| quasi_total(X15,X13,X14)
| X13 != relation_dom_as_subset(X13,X14,X15) )
& ( ~ relation_of2_as_subset(X15,X13,X14)
| X14 = empty_set
| X13 = relation_dom_as_subset(X13,X14,X15)
| ~ quasi_total(X15,X13,X14) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])])]) ).
cnf(c_0_21,plain,
( ~ relation_of2(X1,X2,X3)
| relation_dom_as_subset(X2,X3,X1) = relation_dom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
relation_of2(esk24_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_23,plain,
( ~ in(X2,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| in(apply(X1,X2),relation_rng(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_17])]) ).
cnf(c_0_24,negated_conjecture,
function(esk24_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
relation(esk24_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
( ~ relation_of2_as_subset(X1,X2,X3)
| ~ quasi_total(X1,X2,X3)
| X3 = empty_set
| X2 = relation_dom_as_subset(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
quasi_total(esk24_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,negated_conjecture,
relation_dom_as_subset(esk21_0,esk22_0,esk24_0) = relation_dom(esk24_0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
esk22_0 != empty_set,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,negated_conjecture,
( ~ in(X1,relation_dom(esk24_0))
| in(apply(esk24_0,X1),relation_rng(esk24_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_31,negated_conjecture,
relation_dom(esk24_0) = esk21_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_14])]),c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( ~ in(X1,esk21_0)
| in(apply(esk24_0,X1),relation_rng(esk24_0)) ),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,negated_conjecture,
in(esk23_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_34,negated_conjecture,
~ in(apply(esk24_0,esk23_0),relation_rng(esk24_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU290+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.43 % Computer : n006.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Mon Sep 21 06:08:07 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/5.51 Running first-order theorem proving
% 0.21/5.51 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
% 0.21/5.59 % Version: 3.5.1
% 0.21/5.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/5.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/5.59 % Starting new_bool_3 with 300s (1) cores
% 0.21/5.59 % Starting new_bool_1 with 300s (1) cores
% 0.21/5.59 % Starting sh5l with 300s (1) cores
% 0.21/5.59 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2156578 completed with status 0
% 0.21/5.59 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/5.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/5.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/5.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/5.59 % No SInE strategy applied
% 0.21/5.59 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.21/5.59 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/5.59 % Starting SubtermCWHack with 136s (1) cores
% 0.21/5.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/5.59 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.21/5.59 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.21/5.59 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.21/5.59 % G-E--_208_C18_F1_SE_CS_SP_PS_S4b with pid 2156584 completed with status 0
% 0.21/5.59 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4b
% 0.21/5.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/5.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/5.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/5.59 % No SInE strategy applied
% 0.21/5.59 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.21/5.59 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/5.59 % Starting SubtermCWHack with 136s (1) cores
% 0.21/5.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/5.59 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 0.21/5.59 % Preprocessing time : 0.003 s
% 0.21/5.59 % Presaturation interreduction done
% 0.21/5.59
% 0.21/5.59 % Proof found!
% 0.21/5.59 % SZS status Theorem
% 0.21/5.59 % SZS output start CNFRefutation
% See solution above
% 0.21/5.59 % Parsed axioms : 55
% 0.21/5.59 % Removed by relevancy pruning/SinE : 0
% 0.21/5.59 % Initial clauses : 99
% 0.21/5.59 % Removed in clause preprocessing : 10
% 0.21/5.59 % Initial clauses in saturation : 89
% 0.21/5.59 % Processed clauses : 256
% 0.21/5.59 % ...of these trivial : 5
% 0.21/5.59 % ...subsumed : 12
% 0.21/5.59 % ...remaining for further processing : 239
% 0.21/5.59 % Other redundant clauses eliminated : 9
% 0.21/5.59 % Clauses deleted for lack of memory : 0
% 0.21/5.59 % Backward-subsumed : 3
% 0.21/5.59 % Backward-rewritten : 22
% 0.21/5.59 % Generated clauses : 169
% 0.21/5.59 % ...of the previous two non-redundant : 143
% 0.21/5.59 % ...aggressively subsumed : 0
% 0.21/5.59 % Contextual simplify-reflections : 2
% 0.21/5.59 % Paramodulations : 162
% 0.21/5.59 % Factorizations : 0
% 0.21/5.59 % NegExts : 0
% 0.21/5.59 % Equation resolutions : 9
% 0.21/5.59 % Disequality decompositions : 0
% 0.21/5.59 % Total rewrite steps : 91
% 0.21/5.59 % ...of those cached : 51
% 0.21/5.59 % Propositional unsat checks : 0
% 0.21/5.59 % Propositional check models : 0
% 0.21/5.59 % Propositional check unsatisfiable : 0
% 0.21/5.59 % Propositional clauses : 0
% 0.21/5.59 % Propositional clauses after purity: 0
% 0.21/5.59 % Propositional unsat core size : 0
% 0.21/5.59 % Propositional preprocessing time : 0.000
% 0.21/5.59 % Propositional encoding time : 0.000
% 0.21/5.59 % Propositional solver time : 0.000
% 0.21/5.59 % Success case prop preproc time : 0.000
% 0.21/5.59 % Success case prop encoding time : 0.000
% 0.21/5.59 % Success case prop solver time : 0.000
% 0.21/5.59 % Current number of processed clauses : 121
% 0.21/5.59 % Positive orientable unit clauses : 55
% 0.21/5.59 % Positive unorientable unit clauses: 0
% 0.21/5.59 % Negative unit clauses : 12
% 0.21/5.59 % Non-unit-clauses : 54
% 0.21/5.59 % Current number of unprocessed clauses: 38
% 0.21/5.59 % ...number of literals in the above : 77
% 0.21/5.59 % Current number of archived formulas : 0
% 0.21/5.59 % Current number of archived clauses : 111
% 0.21/5.59 % Clause-clause subsumption calls (NU) : 697
% 0.21/5.59 % Rec. Clause-clause subsumption calls : 403
% 0.21/5.59 % Non-unit clause-clause subsumptions : 7
% 0.21/5.59 % Unit Clause-clause subsumption calls : 386
% 0.21/5.59 % Rewrite failures with RHS unbound : 0
% 0.21/5.59 % BW rewrite match attempts : 13
% 0.21/5.59 % BW rewrite match successes : 10
% 0.21/5.59 % Condensation attempts : 0
% 0.21/5.59 % Condensation successes : 0
% 0.21/5.59 % Termbank termtop insertions : 6459
% 0.21/5.59 % Search garbage collected termcells : 831
% 0.21/5.59
% 0.21/5.59 % -------------------------------------------------
% 0.21/5.59 % User time : 0.018 s
% 0.21/5.59 % System time : 0.006 s
% 0.21/5.59 % Total time : 0.025 s
% 0.21/5.59 % Maximum resident set size: 3676 pages
% 0.21/5.59
% 0.21/5.59 % -------------------------------------------------
% 0.21/5.59 % User time : 0.060 s
% 0.21/5.59 % System time : 0.022 s
% 0.21/5.59 % Total time : 0.082 s
% 0.21/5.59 % Maximum resident set size: 4864 pages
% 0.21/5.59 % E exiting
%------------------------------------------------------------------------------