%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU080+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 : n017.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 02:28:03 PM UTC 2026
% Result : Theorem 0.16s 10.55s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 63 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 61 ( 21 ~; 17 |; 16 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 1 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t161_funct_1,conjecture,
! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( ( subset(X2,relation_rng(X3))
& subset(X1,relation_rng(X3))
& relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t161_funct_1) ).
fof(t158_funct_1,axiom,
! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( ( subset(X1,relation_rng(X3))
& subset(relation_inverse_image(X3,X1),relation_inverse_image(X3,X2)) )
=> subset(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t158_funct_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X2,X1)
& subset(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3] :
( ( function(X3)
& relation(X3) )
=> ( ( subset(X2,relation_rng(X3))
& subset(X1,relation_rng(X3))
& relation_inverse_image(X3,X1) = relation_inverse_image(X3,X2) )
=> X1 = X2 ) ),
inference(assume_negation,[status(cth)],[t161_funct_1]) ).
fof(c_0_5,plain,
! [X10,X11,X12] :
( subset(X10,X11)
| ~ subset(X10,relation_rng(X12))
| ~ subset(relation_inverse_image(X12,X10),relation_inverse_image(X12,X11))
| ~ function(X12)
| ~ relation(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t158_funct_1])])]) ).
fof(c_0_6,negated_conjecture,
( esk1_0 != esk2_0
& subset(esk2_0,relation_rng(esk3_0))
& subset(esk1_0,relation_rng(esk3_0))
& relation_inverse_image(esk3_0,esk1_0) = relation_inverse_image(esk3_0,esk2_0)
& function(esk3_0)
& relation(esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_7,plain,
( ~ subset(X2,relation_rng(X1))
| ~ subset(relation_inverse_image(X1,X2),relation_inverse_image(X1,X3))
| ~ function(X1)
| ~ relation(X1)
| subset(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
relation_inverse_image(esk3_0,esk1_0) = relation_inverse_image(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
subset(esk2_0,relation_rng(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
! [X9] : subset(X9,X9),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_13,plain,
! [X7,X8] :
( ( X7 = X8
| ~ subset(X8,X7)
| ~ subset(X7,X8) )
& ( X7 != X8
| subset(X8,X7) )
& ( X7 != X8
| subset(X7,X8) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])]) ).
cnf(c_0_14,negated_conjecture,
( ~ subset(relation_inverse_image(esk3_0,esk1_0),relation_inverse_image(esk3_0,X1))
| subset(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),c_0_11])]) ).
cnf(c_0_15,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( ~ subset(X2,X1)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
subset(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( ~ subset(X1,relation_rng(esk3_0))
| ~ subset(relation_inverse_image(esk3_0,X1),relation_inverse_image(esk3_0,esk1_0))
| subset(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_10]),c_0_11])]) ).
cnf(c_0_20,negated_conjecture,
subset(esk1_0,relation_rng(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
~ subset(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_20])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/10.39 % Computer : n017.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Mon Sep 21 05:45:22 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/10.46 Running first-order theorem proving
% 0.16/10.46 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
% 0.16/10.55 % Version: 3.5.1
% 0.16/10.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/10.55 % Starting new_bool_3 with 300s (1) cores
% 0.16/10.55 % Starting new_bool_1 with 300s (1) cores
% 0.16/10.55 % Starting sh5l with 300s (1) cores
% 0.16/10.55 % sh5l with pid 1562335 completed with status 0
% 0.16/10.55 % Result found by sh5l
% 0.16/10.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/10.55 % Starting new_bool_3 with 300s (1) cores
% 0.16/10.55 % Starting new_bool_1 with 300s (1) cores
% 0.16/10.55 % Starting sh5l with 300s (1) cores
% 0.16/10.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.16/10.55 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/10.55 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.16/10.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.16/10.55 % Starting SubtermCWHack with 28s (1) cores
% 0.16/10.55 % SubtermCWHack with pid 1562342 completed with status 0
% 0.16/10.55 % Result found by SubtermCWHack
% 0.16/10.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/10.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/10.55 % Starting new_bool_3 with 300s (1) cores
% 0.16/10.55 % Starting new_bool_1 with 300s (1) cores
% 0.16/10.55 % Starting sh5l with 300s (1) cores
% 0.16/10.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.16/10.55 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/10.55 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.16/10.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.16/10.55 % Starting SubtermCWHack with 28s (1) cores
% 0.16/10.55 % Preprocessing time : 0.002 s
% 0.16/10.55
% 0.16/10.55 % Proof found!
% 0.16/10.55 % SZS status Theorem
% 0.16/10.55 % SZS output start CNFRefutation
% See solution above
% 0.16/10.56 % Parsed axioms : 33
% 0.16/10.56 % Removed by relevancy pruning/SinE : 0
% 0.16/10.56 % Initial clauses : 57
% 0.16/10.56 % Removed in clause preprocessing : 2
% 0.16/10.56 % Initial clauses in saturation : 55
% 0.16/10.56 % Processed clauses : 165
% 0.16/10.56 % ...of these trivial : 3
% 0.16/10.56 % ...subsumed : 43
% 0.16/10.56 % ...remaining for further processing : 119
% 0.16/10.56 % Other redundant clauses eliminated : 2
% 0.16/10.56 % Clauses deleted for lack of memory : 0
% 0.16/10.56 % Backward-subsumed : 21
% 0.16/10.56 % Backward-rewritten : 8
% 0.16/10.56 % Generated clauses : 187
% 0.16/10.56 % ...of the previous two non-redundant : 153
% 0.16/10.56 % ...aggressively subsumed : 0
% 0.16/10.56 % Contextual simplify-reflections : 2
% 0.16/10.56 % Paramodulations : 185
% 0.16/10.56 % Factorizations : 0
% 0.16/10.56 % NegExts : 0
% 0.16/10.56 % Equation resolutions : 2
% 0.16/10.56 % Disequality decompositions : 0
% 0.16/10.56 % Total rewrite steps : 63
% 0.16/10.56 % ...of those cached : 41
% 0.16/10.56 % Propositional unsat checks : 0
% 0.16/10.56 % Propositional check models : 0
% 0.16/10.56 % Propositional check unsatisfiable : 0
% 0.16/10.56 % Propositional clauses : 0
% 0.16/10.56 % Propositional clauses after purity: 0
% 0.16/10.56 % Propositional unsat core size : 0
% 0.16/10.56 % Propositional preprocessing time : 0.000
% 0.16/10.56 % Propositional encoding time : 0.000
% 0.16/10.56 % Propositional solver time : 0.000
% 0.16/10.56 % Success case prop preproc time : 0.000
% 0.16/10.56 % Success case prop encoding time : 0.000
% 0.16/10.56 % Success case prop solver time : 0.000
% 0.16/10.56 % Current number of processed clauses : 88
% 0.16/10.56 % Positive orientable unit clauses : 28
% 0.16/10.56 % Positive unorientable unit clauses: 0
% 0.16/10.56 % Negative unit clauses : 8
% 0.16/10.56 % Non-unit-clauses : 52
% 0.16/10.56 % Current number of unprocessed clauses: 33
% 0.16/10.56 % ...number of literals in the above : 122
% 0.16/10.56 % Current number of archived formulas : 0
% 0.16/10.56 % Current number of archived clauses : 29
% 0.16/10.56 % Clause-clause subsumption calls (NU) : 634
% 0.16/10.56 % Rec. Clause-clause subsumption calls : 512
% 0.16/10.56 % Non-unit clause-clause subsumptions : 49
% 0.16/10.56 % Unit Clause-clause subsumption calls : 69
% 0.16/10.56 % Rewrite failures with RHS unbound : 0
% 0.16/10.56 % BW rewrite match attempts : 5
% 0.16/10.56 % BW rewrite match successes : 5
% 0.16/10.56 % Condensation attempts : 0
% 0.16/10.56 % Condensation successes : 0
% 0.16/10.56 % Termbank termtop insertions : 4359
% 0.16/10.56 % Search garbage collected termcells : 429
% 0.16/10.56
% 0.16/10.56 % -------------------------------------------------
% 0.16/10.56 % User time : 0.018 s
% 0.16/10.56 % System time : 0.001 s
% 0.16/10.56 % Total time : 0.019 s
% 0.16/10.56 % Maximum resident set size: 3656 pages
% 0.16/10.56
% 0.16/10.56 % -------------------------------------------------
% 0.16/10.56 % User time : 0.019 s
% 0.16/10.56 % System time : 0.009 s
% 0.16/10.56 % Total time : 0.029 s
% 0.16/10.56 % Maximum resident set size: 4864 pages
% 0.16/10.56 % E exiting
%------------------------------------------------------------------------------