%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU130+2 : 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 : n002.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 02:23:54 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 41 ( 11 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 36 ( 15 ~; 12 |; 5 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 2 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(t17_xboole_1,lemma,
! [X1,X2] : subset(set_intersection2(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(t28_xboole_1,conjecture,
! [X1,X2] :
( subset(X1,X2)
=> set_intersection2(X1,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(t19_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X3)
& subset(X1,X2) )
=> subset(X1,set_intersection2(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(c_0_5,plain,
! [X28,X29] :
( ( X28 = X29
| ~ subset(X29,X28)
| ~ subset(X28,X29) )
& ( X28 != X29
| subset(X29,X28) )
& ( X28 != X29
| subset(X28,X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])]) ).
fof(c_0_6,lemma,
! [X19,X20] : subset(set_intersection2(X19,X20),X19),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2] :
( subset(X1,X2)
=> set_intersection2(X1,X2) = X1 ),
inference(assume_negation,[status(cth)],[t28_xboole_1]) ).
cnf(c_0_8,plain,
( ~ subset(X2,X1)
| ~ subset(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,lemma,
subset(set_intersection2(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,lemma,
! [X21,X22,X23] :
( subset(X21,set_intersection2(X22,X23))
| ~ subset(X21,X23)
| ~ subset(X21,X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t19_xboole_1])])]) ).
fof(c_0_11,plain,
! [X30] : subset(X30,X30),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_12,negated_conjecture,
( set_intersection2(esk1_0,esk2_0) != esk1_0
& subset(esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
cnf(c_0_13,lemma,
( ~ subset(X1,set_intersection2(X1,X2))
| set_intersection2(X1,X2) = X1 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,lemma,
( ~ subset(X1,X3)
| ~ subset(X1,X2)
| subset(X1,set_intersection2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
set_intersection2(esk1_0,esk2_0) != esk1_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,lemma,
( ~ subset(X1,X2)
| set_intersection2(X1,X2) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
subset(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU130+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 05:54:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 0.16/0.46 % Version: 3.5.1
% 0.16/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.46 % Starting sh5l with 300s (1) cores
% 0.16/0.46 % new_bool_1 with pid 2570038 completed with status 0
% 0.16/0.46 % Result found by new_bool_1
% 0.16/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 % Search class: FGHSM-FFMS32-SFFFFFNN
% 0.16/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.46 % SubtermCWHack with pid 2570040 completed with status 0
% 0.16/0.46 % Result found by SubtermCWHack
% 0.16/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 % Search class: FGHSM-FFMS32-SFFFFFNN
% 0.16/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.46 % Preprocessing time : 0.002 s
% 0.16/0.46
% 0.16/0.46 % Proof found!
% 0.16/0.46 % SZS status Theorem
% 0.16/0.46 % SZS output start CNFRefutation
% See solution above
% 0.16/0.46 % Parsed axioms : 38
% 0.16/0.46 % Removed by relevancy pruning/SinE : 7
% 0.16/0.46 % Initial clauses : 47
% 0.16/0.46 % Removed in clause preprocessing : 0
% 0.16/0.46 % Initial clauses in saturation : 47
% 0.16/0.46 % Processed clauses : 273
% 0.16/0.46 % ...of these trivial : 9
% 0.16/0.46 % ...subsumed : 152
% 0.16/0.46 % ...remaining for further processing : 112
% 0.16/0.46 % Other redundant clauses eliminated : 9
% 0.16/0.46 % Clauses deleted for lack of memory : 0
% 0.16/0.46 % Backward-subsumed : 1
% 0.16/0.46 % Backward-rewritten : 1
% 0.16/0.46 % Generated clauses : 780
% 0.16/0.46 % ...of the previous two non-redundant : 516
% 0.16/0.46 % ...aggressively subsumed : 0
% 0.16/0.46 % Contextual simplify-reflections : 2
% 0.16/0.46 % Paramodulations : 761
% 0.16/0.46 % Factorizations : 10
% 0.16/0.46 % NegExts : 0
% 0.16/0.46 % Equation resolutions : 9
% 0.16/0.46 % Disequality decompositions : 0
% 0.16/0.46 % Total rewrite steps : 244
% 0.16/0.46 % ...of those cached : 203
% 0.16/0.46 % Propositional unsat checks : 0
% 0.16/0.46 % Propositional check models : 0
% 0.16/0.46 % Propositional check unsatisfiable : 0
% 0.16/0.46 % Propositional clauses : 0
% 0.16/0.46 % Propositional clauses after purity: 0
% 0.16/0.46 % Propositional unsat core size : 0
% 0.16/0.46 % Propositional preprocessing time : 0.000
% 0.16/0.46 % Propositional encoding time : 0.000
% 0.16/0.46 % Propositional solver time : 0.000
% 0.16/0.46 % Success case prop preproc time : 0.000
% 0.16/0.46 % Success case prop encoding time : 0.000
% 0.16/0.46 % Success case prop solver time : 0.000
% 0.16/0.46 % Current number of processed clauses : 101
% 0.16/0.46 % Positive orientable unit clauses : 19
% 0.16/0.46 % Positive unorientable unit clauses: 2
% 0.16/0.46 % Negative unit clauses : 6
% 0.16/0.46 % Non-unit-clauses : 74
% 0.16/0.46 % Current number of unprocessed clauses: 290
% 0.16/0.46 % ...number of literals in the above : 783
% 0.16/0.46 % Current number of archived formulas : 0
% 0.16/0.46 % Current number of archived clauses : 2
% 0.16/0.46 % Clause-clause subsumption calls (NU) : 1054
% 0.16/0.46 % Rec. Clause-clause subsumption calls : 925
% 0.16/0.46 % Non-unit clause-clause subsumptions : 138
% 0.16/0.46 % Unit Clause-clause subsumption calls : 14
% 0.16/0.46 % Rewrite failures with RHS unbound : 0
% 0.16/0.46 % BW rewrite match attempts : 27
% 0.16/0.46 % BW rewrite match successes : 19
% 0.16/0.46 % Condensation attempts : 0
% 0.16/0.46 % Condensation successes : 0
% 0.16/0.46 % Termbank termtop insertions : 8077
% 0.16/0.46 % Search garbage collected termcells : 698
% 0.16/0.46
% 0.16/0.46 % -------------------------------------------------
% 0.16/0.46 % User time : 0.015 s
% 0.16/0.46 % System time : 0.001 s
% 0.16/0.46 % Total time : 0.016 s
% 0.16/0.46 % Maximum resident set size: 3660 pages
% 0.16/0.46
% 0.16/0.46 % -------------------------------------------------
% 0.16/0.46 % User time : 0.017 s
% 0.16/0.46 % System time : 0.006 s
% 0.16/0.46 % Total time : 0.023 s
% 0.16/0.46 % Maximum resident set size: 4864 pages
% 0.16/0.46 % E exiting
%------------------------------------------------------------------------------