%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU101+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 : n013.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 0.10s 0.43s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 4 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 128 ( 46 ~; 53 |; 19 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t10_finsub_1,conjecture,
! [X1] :
( preboolean(X1)
<=> ! [X2,X3] :
( ( in(X3,X1)
& in(X2,X1) )
=> ( in(set_difference(X2,X3),X1)
& in(set_union2(X2,X3),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_finsub_1) ).
fof(d3_finsub_1,axiom,
! [X1] :
( diff_closed(X1)
<=> ! [X2,X3] :
( ( in(X3,X1)
& in(X2,X1) )
=> in(set_difference(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_finsub_1) ).
fof(cc1_finsub_1,axiom,
! [X1] :
( preboolean(X1)
=> ( diff_closed(X1)
& cup_closed(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finsub_1) ).
fof(d1_finsub_1,axiom,
! [X1] :
( cup_closed(X1)
<=> ! [X2,X3] :
( ( in(X3,X1)
& in(X2,X1) )
=> in(set_union2(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_finsub_1) ).
fof(cc2_finsub_1,axiom,
! [X1] :
( ( diff_closed(X1)
& cup_closed(X1) )
=> preboolean(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finsub_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( preboolean(X1)
<=> ! [X2,X3] :
( ( in(X3,X1)
& in(X2,X1) )
=> ( in(set_difference(X2,X3),X1)
& in(set_union2(X2,X3),X1) ) ) ),
inference(assume_negation,[status(cth)],[t10_finsub_1]) ).
fof(c_0_6,negated_conjecture,
! [X56,X57] :
( ( preboolean(esk15_0)
| ~ in(X57,esk15_0)
| ~ in(X56,esk15_0)
| in(set_difference(X56,X57),esk15_0) )
& ( preboolean(esk15_0)
| ~ in(X57,esk15_0)
| ~ in(X56,esk15_0)
| in(set_union2(X56,X57),esk15_0) )
& ( ~ preboolean(esk15_0)
| ~ in(set_difference(esk16_0,esk17_0),esk15_0)
| ~ in(set_union2(esk16_0,esk17_0),esk15_0) )
& ( ~ preboolean(esk15_0)
| in(esk17_0,esk15_0) )
& ( ~ preboolean(esk15_0)
| in(esk16_0,esk15_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
fof(c_0_7,plain,
! [X19,X20,X21,X22] :
( ( diff_closed(X22)
| ~ in(set_difference(esk3_1(X22),esk4_1(X22)),X22) )
& ( diff_closed(X22)
| in(esk4_1(X22),X22) )
& ( diff_closed(X22)
| in(esk3_1(X22),X22) )
& ( in(set_difference(X20,X21),X19)
| ~ in(X21,X19)
| ~ in(X20,X19)
| ~ diff_closed(X19) ) ),
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_finsub_1])])])])])])]) ).
fof(c_0_8,plain,
! [X7] :
( ( ~ preboolean(X7)
| diff_closed(X7) )
& ( ~ preboolean(X7)
| cup_closed(X7) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finsub_1])])])]) ).
cnf(c_0_9,negated_conjecture,
( ~ preboolean(esk15_0)
| ~ in(set_difference(esk16_0,esk17_0),esk15_0)
| ~ in(set_union2(esk16_0,esk17_0),esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ in(X3,X1)
| ~ in(X2,X1)
| ~ diff_closed(X1)
| in(set_difference(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( ~ preboolean(esk15_0)
| in(esk16_0,esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( ~ preboolean(esk15_0)
| in(esk17_0,esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( ~ preboolean(X1)
| diff_closed(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X13,X14,X15,X16] :
( ( cup_closed(X16)
| ~ in(set_union2(esk1_1(X16),esk2_1(X16)),X16) )
& ( cup_closed(X16)
| in(esk2_1(X16),X16) )
& ( cup_closed(X16)
| in(esk1_1(X16),X16) )
& ( in(set_union2(X14,X15),X13)
| ~ in(X15,X13)
| ~ in(X14,X13)
| ~ cup_closed(X13) ) ),
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)],[d1_finsub_1])])])])])])]) ).
cnf(c_0_15,negated_conjecture,
( ~ in(set_union2(esk16_0,esk17_0),esk15_0)
| ~ preboolean(esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_13]) ).
cnf(c_0_16,plain,
( ~ in(X3,X1)
| ~ in(X2,X1)
| ~ cup_closed(X1)
| in(set_union2(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( ~ preboolean(X1)
| cup_closed(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_18,plain,
! [X10] :
( preboolean(X10)
| ~ diff_closed(X10)
| ~ cup_closed(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finsub_1])])]) ).
cnf(c_0_19,plain,
( ~ in(set_difference(esk3_1(X1),esk4_1(X1)),X1)
| diff_closed(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( ~ in(X2,esk15_0)
| ~ in(X1,esk15_0)
| preboolean(esk15_0)
| in(set_difference(X1,X2),esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
~ preboolean(esk15_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_11]),c_0_12]),c_0_17]) ).
cnf(c_0_22,plain,
( diff_closed(X1)
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,plain,
( diff_closed(X1)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,plain,
( ~ in(set_union2(esk1_1(X1),esk2_1(X1)),X1)
| cup_closed(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,negated_conjecture,
( ~ in(X2,esk15_0)
| ~ in(X1,esk15_0)
| preboolean(esk15_0)
| in(set_union2(X1,X2),esk15_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,plain,
( cup_closed(X1)
| in(esk1_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,plain,
( cup_closed(X1)
| in(esk2_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,plain,
( ~ diff_closed(X1)
| ~ cup_closed(X1)
| preboolean(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,negated_conjecture,
diff_closed(esk15_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_30,negated_conjecture,
cup_closed(esk15_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21]),c_0_26]),c_0_27]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU101+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:49:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.43 % Version: 3.5.1
% 0.10/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.43 % Starting sh5l with 300s (1) cores
% 0.10/0.43 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 63400 completed with status 0
% 0.10/0.43 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.43 % No SInE strategy applied
% 0.10/0.43 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.10/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.43 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.10/0.43 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.10/0.43 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.10/0.43 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 63410 completed with status 0
% 0.10/0.43 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.10/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.43 % No SInE strategy applied
% 0.10/0.43 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.10/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.43 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.10/0.43 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.10/0.43 % Preprocessing time : 0.003 s
% 0.10/0.43
% 0.10/0.43 % Proof found!
% 0.10/0.43 % SZS status Theorem
% 0.10/0.43 % SZS output start CNFRefutation
% See solution above
% 0.10/0.43 % Parsed axioms : 39
% 0.10/0.43 % Removed by relevancy pruning/SinE : 0
% 0.10/0.43 % Initial clauses : 73
% 0.10/0.43 % Removed in clause preprocessing : 0
% 0.10/0.43 % Initial clauses in saturation : 73
% 0.10/0.43 % Processed clauses : 99
% 0.10/0.43 % ...of these trivial : 1
% 0.10/0.43 % ...subsumed : 6
% 0.10/0.43 % ...remaining for further processing : 92
% 0.10/0.43 % Other redundant clauses eliminated : 0
% 0.10/0.43 % Clauses deleted for lack of memory : 0
% 0.10/0.43 % Backward-subsumed : 4
% 0.10/0.43 % Backward-rewritten : 13
% 0.10/0.43 % Generated clauses : 122
% 0.10/0.43 % ...of the previous two non-redundant : 92
% 0.10/0.43 % ...aggressively subsumed : 0
% 0.10/0.43 % Contextual simplify-reflections : 10
% 0.10/0.43 % Paramodulations : 122
% 0.10/0.43 % Factorizations : 0
% 0.10/0.43 % NegExts : 0
% 0.10/0.43 % Equation resolutions : 0
% 0.10/0.43 % Disequality decompositions : 0
% 0.10/0.43 % Total rewrite steps : 29
% 0.10/0.43 % ...of those cached : 17
% 0.10/0.43 % Propositional unsat checks : 0
% 0.10/0.43 % Propositional check models : 0
% 0.10/0.43 % Propositional check unsatisfiable : 0
% 0.10/0.43 % Propositional clauses : 0
% 0.10/0.43 % Propositional clauses after purity: 0
% 0.10/0.43 % Propositional unsat core size : 0
% 0.10/0.43 % Propositional preprocessing time : 0.000
% 0.10/0.43 % Propositional encoding time : 0.000
% 0.10/0.43 % Propositional solver time : 0.000
% 0.10/0.43 % Success case prop preproc time : 0.000
% 0.10/0.43 % Success case prop encoding time : 0.000
% 0.10/0.43 % Success case prop solver time : 0.000
% 0.10/0.43 % Current number of processed clauses : 75
% 0.10/0.43 % Positive orientable unit clauses : 28
% 0.10/0.43 % Positive unorientable unit clauses: 1
% 0.10/0.43 % Negative unit clauses : 5
% 0.10/0.43 % Non-unit-clauses : 41
% 0.10/0.43 % Current number of unprocessed clauses: 63
% 0.10/0.43 % ...number of literals in the above : 170
% 0.10/0.43 % Current number of archived formulas : 0
% 0.10/0.43 % Current number of archived clauses : 17
% 0.10/0.43 % Clause-clause subsumption calls (NU) : 165
% 0.10/0.43 % Rec. Clause-clause subsumption calls : 120
% 0.10/0.43 % Non-unit clause-clause subsumptions : 17
% 0.10/0.43 % Unit Clause-clause subsumption calls : 47
% 0.10/0.43 % Rewrite failures with RHS unbound : 0
% 0.10/0.43 % BW rewrite match attempts : 19
% 0.10/0.43 % BW rewrite match successes : 11
% 0.10/0.43 % Condensation attempts : 0
% 0.10/0.43 % Condensation successes : 0
% 0.10/0.43 % Termbank termtop insertions : 4891
% 0.10/0.43 % Search garbage collected termcells : 726
% 0.10/0.43
% 0.10/0.43 % -------------------------------------------------
% 0.10/0.43 % User time : 0.015 s
% 0.10/0.43 % System time : 0.002 s
% 0.10/0.43 % Total time : 0.017 s
% 0.10/0.43 % Maximum resident set size: 3664 pages
% 0.10/0.43
% 0.10/0.43 % -------------------------------------------------
% 0.10/0.43 % User time : 0.050 s
% 0.10/0.43 % System time : 0.014 s
% 0.10/0.43 % Total time : 0.064 s
% 0.10/0.43 % Maximum resident set size: 4864 pages
% 0.10/0.43 % E exiting
%------------------------------------------------------------------------------