%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU133+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 : n014.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 0.27s 0.55s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 55 ( 9 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 61 ( 22 ~; 24 |; 9 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 44 ( 3 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( ~ in(X4,X2)
& in(X4,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
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(t36_xboole_1,conjecture,
! [X1,X2] : subset(set_difference(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(c_0_3,plain,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( ~ in(X4,X2)
& in(X4,X1) ) ) ),
inference(fof_simplification,[status(thm)],[d4_xboole_0]) ).
fof(c_0_4,plain,
! [X14,X15,X16,X17,X18,X19,X20,X21] :
( ( X21 = set_difference(X19,X20)
| in(esk4_3(X19,X20,X21),X21)
| ~ in(esk4_3(X19,X20,X21),X20) )
& ( X21 = set_difference(X19,X20)
| in(esk4_3(X19,X20,X21),X21)
| in(esk4_3(X19,X20,X21),X19) )
& ( X21 = set_difference(X19,X20)
| in(esk4_3(X19,X20,X21),X20)
| ~ in(esk4_3(X19,X20,X21),X19)
| ~ in(esk4_3(X19,X20,X21),X21) )
& ( X16 != set_difference(X14,X15)
| in(X18,X16)
| in(X18,X15)
| ~ in(X18,X14) )
& ( X16 != set_difference(X14,X15)
| ~ in(X17,X16)
| ~ in(X17,X15) )
& ( X16 != set_difference(X14,X15)
| ~ in(X17,X16)
| in(X17,X14) ) ),
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)],[c_0_3])])])])])])]) ).
cnf(c_0_5,plain,
( X3 != set_difference(X2,X4)
| ~ in(X1,X3)
| in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X7,X8,X9,X10,X11] :
( ( subset(X10,X11)
| ~ in(esk3_2(X10,X11),X11) )
& ( subset(X10,X11)
| in(esk3_2(X10,X11),X10) )
& ( in(X9,X8)
| ~ in(X9,X7)
| ~ subset(X7,X8) ) ),
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])])])])])])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2] : subset(set_difference(X1,X2),X1),
inference(assume_negation,[status(cth)],[t36_xboole_1]) ).
cnf(c_0_8,plain,
( ~ in(X1,set_difference(X2,X3))
| in(X1,X2) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| in(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,negated_conjecture,
~ subset(set_difference(esk1_0,esk2_0),esk1_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_11,plain,
( ~ in(esk3_2(X1,X2),X2)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( in(esk3_2(set_difference(X1,X2),X3),X1)
| subset(set_difference(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
~ subset(set_difference(esk1_0,esk2_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
subset(set_difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU133+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.42 % Computer : n014.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Mon Sep 21 05:51:49 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 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
% 0.27/0.55 % Version: 3.5.1
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.55 % Starting sh5l with 300s (1) cores
% 0.27/0.55 % new_bool_3 with pid 3275494 completed with status 0
% 0.27/0.55 % Result found by new_bool_3
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.55 % Search class: FGHSS-FFSF32-SFFFFFNN
% 0.27/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.55 % SubtermCWHack with pid 3275500 completed with status 0
% 0.27/0.55 % Result found by SubtermCWHack
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.55 % Search class: FGHSS-FFSF32-SFFFFFNN
% 0.27/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.55 % Preprocessing time : 0.002 s
% 0.27/0.55
% 0.27/0.55 % Proof found!
% 0.27/0.55 % SZS status Theorem
% 0.27/0.55 % SZS output start CNFRefutation
% See solution above
% 0.27/0.55 % Parsed axioms : 15
% 0.27/0.55 % Removed by relevancy pruning/SinE : 2
% 0.27/0.55 % Initial clauses : 20
% 0.27/0.55 % Removed in clause preprocessing : 0
% 0.27/0.55 % Initial clauses in saturation : 20
% 0.27/0.55 % Processed clauses : 31
% 0.27/0.55 % ...of these trivial : 0
% 0.27/0.55 % ...subsumed : 3
% 0.27/0.55 % ...remaining for further processing : 28
% 0.27/0.55 % Other redundant clauses eliminated : 2
% 0.27/0.55 % Clauses deleted for lack of memory : 0
% 0.27/0.55 % Backward-subsumed : 1
% 0.27/0.55 % Backward-rewritten : 3
% 0.27/0.55 % Generated clauses : 31
% 0.27/0.55 % ...of the previous two non-redundant : 21
% 0.27/0.55 % ...aggressively subsumed : 0
% 0.27/0.55 % Contextual simplify-reflections : 1
% 0.27/0.55 % Paramodulations : 29
% 0.27/0.55 % Factorizations : 0
% 0.27/0.55 % NegExts : 0
% 0.27/0.55 % Equation resolutions : 2
% 0.27/0.55 % Disequality decompositions : 0
% 0.27/0.55 % Total rewrite steps : 9
% 0.27/0.55 % ...of those cached : 2
% 0.27/0.55 % Propositional unsat checks : 0
% 0.27/0.55 % Propositional check models : 0
% 0.27/0.55 % Propositional check unsatisfiable : 0
% 0.27/0.55 % Propositional clauses : 0
% 0.27/0.55 % Propositional clauses after purity: 0
% 0.27/0.55 % Propositional unsat core size : 0
% 0.27/0.55 % Propositional preprocessing time : 0.000
% 0.27/0.55 % Propositional encoding time : 0.000
% 0.27/0.55 % Propositional solver time : 0.000
% 0.27/0.55 % Success case prop preproc time : 0.000
% 0.27/0.55 % Success case prop encoding time : 0.000
% 0.27/0.55 % Success case prop solver time : 0.000
% 0.27/0.55 % Current number of processed clauses : 22
% 0.27/0.55 % Positive orientable unit clauses : 7
% 0.27/0.55 % Positive unorientable unit clauses: 0
% 0.27/0.55 % Negative unit clauses : 3
% 0.27/0.55 % Non-unit-clauses : 12
% 0.27/0.55 % Current number of unprocessed clauses: 10
% 0.27/0.55 % ...number of literals in the above : 26
% 0.27/0.55 % Current number of archived formulas : 0
% 0.27/0.55 % Current number of archived clauses : 4
% 0.27/0.55 % Clause-clause subsumption calls (NU) : 26
% 0.27/0.55 % Rec. Clause-clause subsumption calls : 25
% 0.27/0.55 % Non-unit clause-clause subsumptions : 4
% 0.27/0.55 % Unit Clause-clause subsumption calls : 10
% 0.27/0.55 % Rewrite failures with RHS unbound : 0
% 0.27/0.55 % BW rewrite match attempts : 4
% 0.27/0.55 % BW rewrite match successes : 3
% 0.27/0.55 % Condensation attempts : 0
% 0.27/0.55 % Condensation successes : 0
% 0.27/0.55 % Termbank termtop insertions : 1419
% 0.27/0.55 % Search garbage collected termcells : 315
% 0.27/0.55
% 0.27/0.55 % -------------------------------------------------
% 0.27/0.55 % User time : 0.009 s
% 0.27/0.55 % System time : 0.002 s
% 0.27/0.55 % Total time : 0.011 s
% 0.27/0.55 % Maximum resident set size: 3640 pages
% 0.27/0.55
% 0.27/0.55 % -------------------------------------------------
% 0.27/0.55 % User time : 0.011 s
% 0.27/0.55 % System time : 0.008 s
% 0.27/0.55 % Total time : 0.020 s
% 0.27/0.55 % Maximum resident set size: 4864 pages
% 0.27/0.55 % E exiting
%------------------------------------------------------------------------------