%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU097+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 02:23:48 PM UTC 2026
% Result : Theorem 0.14s 10.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 37 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 14 ~; 9 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 1 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t28_finset_1,conjecture,
! [X1,X2] :
( ( finite(X2)
& finite(X1) )
=> finite(symmetric_difference(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_finset_1) ).
fof(fc9_finset_1,axiom,
! [X1,X2] :
( ( finite(X2)
& finite(X1) )
=> finite(set_union2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_finset_1) ).
fof(d6_xboole_0,axiom,
! [X1,X2] : symmetric_difference(X1,X2) = set_union2(set_difference(X1,X2),set_difference(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_xboole_0) ).
fof(fc12_finset_1,axiom,
! [X1,X2] :
( finite(X1)
=> finite(set_difference(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_finset_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2] :
( ( finite(X2)
& finite(X1) )
=> finite(symmetric_difference(X1,X2)) ),
inference(assume_negation,[status(cth)],[t28_finset_1]) ).
fof(c_0_5,plain,
! [X9,X10] :
( finite(set_union2(X9,X10))
| ~ finite(X10)
| ~ finite(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_finset_1])])]) ).
fof(c_0_6,plain,
! [X18,X19] : symmetric_difference(X18,X19) = set_union2(set_difference(X18,X19),set_difference(X19,X18)),
inference(variable_rename,[status(thm)],[d6_xboole_0]) ).
fof(c_0_7,negated_conjecture,
( ~ finite(symmetric_difference(esk1_0,esk2_0))
& finite(esk2_0)
& finite(esk1_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_8,plain,
( ~ finite(X2)
| ~ finite(X1)
| finite(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
symmetric_difference(X1,X2) = set_union2(set_difference(X1,X2),set_difference(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ finite(symmetric_difference(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ finite(set_difference(X1,X2))
| ~ finite(set_difference(X2,X1))
| finite(symmetric_difference(X1,X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
fof(c_0_12,plain,
! [X50,X51] :
( finite(set_difference(X50,X51))
| ~ finite(X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc12_finset_1])])]) ).
cnf(c_0_13,negated_conjecture,
( ~ finite(set_difference(esk1_0,esk2_0))
| ~ finite(set_difference(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( ~ finite(X1)
| finite(set_difference(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
finite(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
~ finite(set_difference(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_17,negated_conjecture,
finite(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_14]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU097+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/10.38 % Computer : n026.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 05:53:03 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/10.42 Running first-order theorem proving
% 0.14/10.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.14/10.45 % Version: 3.5.1
% 0.14/10.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/10.45 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.45 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.45 % Starting sh5l with 300s (1) cores
% 0.14/10.45 % new_bool_1 with pid 1500471 completed with status 0
% 0.14/10.45 % Result found by new_bool_1
% 0.14/10.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/10.45 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.45 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/10.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/10.45 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.14/10.45 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.14/10.45 % Starting SubtermCWHack with 28s (1) cores
% 0.14/10.45 % SubtermCWHack with pid 1500474 completed with status 0
% 0.14/10.45 % Result found by SubtermCWHack
% 0.14/10.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/10.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/10.45 % Starting new_bool_3 with 300s (1) cores
% 0.14/10.45 % Starting new_bool_1 with 300s (1) cores
% 0.14/10.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/10.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/10.45 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.14/10.45 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.14/10.45 % Starting SubtermCWHack with 28s (1) cores
% 0.14/10.45 % Preprocessing time : 0.001 s
% 0.14/10.45
% 0.14/10.45 % Proof found!
% 0.14/10.45 % SZS status Theorem
% 0.14/10.45 % SZS output start CNFRefutation
% See solution above
% 0.14/10.45 % Parsed axioms : 70
% 0.14/10.45 % Removed by relevancy pruning/SinE : 24
% 0.14/10.45 % Initial clauses : 66
% 0.14/10.45 % Removed in clause preprocessing : 0
% 0.14/10.45 % Initial clauses in saturation : 66
% 0.14/10.45 % Processed clauses : 145
% 0.14/10.45 % ...of these trivial : 3
% 0.14/10.45 % ...subsumed : 33
% 0.14/10.45 % ...remaining for further processing : 109
% 0.14/10.45 % Other redundant clauses eliminated : 0
% 0.14/10.45 % Clauses deleted for lack of memory : 0
% 0.14/10.45 % Backward-subsumed : 2
% 0.14/10.45 % Backward-rewritten : 5
% 0.14/10.45 % Generated clauses : 181
% 0.14/10.45 % ...of the previous two non-redundant : 125
% 0.14/10.45 % ...aggressively subsumed : 0
% 0.14/10.45 % Contextual simplify-reflections : 2
% 0.14/10.45 % Paramodulations : 181
% 0.14/10.45 % Factorizations : 0
% 0.14/10.45 % NegExts : 0
% 0.14/10.45 % Equation resolutions : 0
% 0.14/10.45 % Disequality decompositions : 0
% 0.14/10.45 % Total rewrite steps : 73
% 0.14/10.45 % ...of those cached : 49
% 0.14/10.45 % Propositional unsat checks : 0
% 0.14/10.45 % Propositional check models : 0
% 0.14/10.45 % Propositional check unsatisfiable : 0
% 0.14/10.45 % Propositional clauses : 0
% 0.14/10.45 % Propositional clauses after purity: 0
% 0.14/10.45 % Propositional unsat core size : 0
% 0.14/10.45 % Propositional preprocessing time : 0.000
% 0.14/10.45 % Propositional encoding time : 0.000
% 0.14/10.45 % Propositional solver time : 0.000
% 0.14/10.45 % Success case prop preproc time : 0.000
% 0.14/10.45 % Success case prop encoding time : 0.000
% 0.14/10.45 % Success case prop solver time : 0.000
% 0.14/10.45 % Current number of processed clauses : 102
% 0.14/10.45 % Positive orientable unit clauses : 27
% 0.14/10.45 % Positive unorientable unit clauses: 2
% 0.14/10.45 % Negative unit clauses : 8
% 0.14/10.45 % Non-unit-clauses : 65
% 0.14/10.45 % Current number of unprocessed clauses: 40
% 0.14/10.45 % ...number of literals in the above : 144
% 0.14/10.45 % Current number of archived formulas : 0
% 0.14/10.45 % Current number of archived clauses : 7
% 0.14/10.45 % Clause-clause subsumption calls (NU) : 930
% 0.14/10.45 % Rec. Clause-clause subsumption calls : 868
% 0.14/10.45 % Non-unit clause-clause subsumptions : 31
% 0.14/10.45 % Unit Clause-clause subsumption calls : 8
% 0.14/10.45 % Rewrite failures with RHS unbound : 0
% 0.14/10.45 % BW rewrite match attempts : 20
% 0.14/10.45 % BW rewrite match successes : 14
% 0.14/10.45 % Condensation attempts : 0
% 0.14/10.45 % Condensation successes : 0
% 0.14/10.45 % Termbank termtop insertions : 5254
% 0.14/10.45 % Search garbage collected termcells : 597
% 0.14/10.45
% 0.14/10.45 % -------------------------------------------------
% 0.14/10.45 % User time : 0.005 s
% 0.14/10.45 % System time : 0.006 s
% 0.14/10.45 % Total time : 0.011 s
% 0.14/10.45 % Maximum resident set size: 3688 pages
% 0.14/10.45
% 0.14/10.45 % -------------------------------------------------
% 0.14/10.45 % User time : 0.007 s
% 0.14/10.45 % System time : 0.010 s
% 0.14/10.45 % Total time : 0.017 s
% 0.14/10.45 % Maximum resident set size: 4864 pages
% 0.14/10.45 % E exiting
%------------------------------------------------------------------------------