%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SET704+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 02:18:00 PM UTC 2026
% Result : Theorem 0.29s 0.62s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 40 ( 14 ~; 15 |; 5 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(product,axiom,
! [X3,X1] :
( member(X3,product(X1))
<=> ! [X5] :
( member(X5,X1)
=> member(X3,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',product) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(thI42,conjecture,
! [X1,X3] :
( member(X3,X1)
=> subset(product(X1),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI42) ).
fof(c_0_3,plain,
! [X18,X19,X20,X21,X22] :
( ( member(X21,product(X22))
| ~ member(X21,esk4_2(X21,X22)) )
& ( member(X21,product(X22))
| member(esk4_2(X21,X22),X22) )
& ( member(X18,X20)
| ~ member(X20,X19)
| ~ member(X18,product(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)],[product])])])])])])]) ).
fof(c_0_4,plain,
! [X8,X9,X10,X11,X12] :
( ( subset(X11,X12)
| ~ member(esk3_2(X11,X12),X12) )
& ( subset(X11,X12)
| member(esk3_2(X11,X12),X11) )
& ( member(X10,X9)
| ~ member(X10,X8)
| ~ subset(X8,X9) ) ),
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)],[subset])])])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X3] :
( member(X3,X1)
=> subset(product(X1),X3) ),
inference(assume_negation,[status(cth)],[thI42]) ).
cnf(c_0_6,plain,
( ~ member(X3,X2)
| ~ member(X1,product(X2))
| member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( subset(X1,X2)
| member(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( ~ subset(product(esk1_0),esk2_0)
& member(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_5])])])]) ).
cnf(c_0_9,plain,
( ~ member(esk3_2(X1,X2),X2)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( ~ member(X3,X1)
| subset(product(X1),X2)
| member(esk3_2(product(X1),X2),X3) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ subset(product(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( ~ member(X2,X1)
| subset(product(X1),X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
member(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET704+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n005.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 05:33:18 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.56 Running first-order theorem proving
% 0.18/0.56 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
% 0.29/0.62 % Version: 3.5.1
% 0.29/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.29/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.29/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.29/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.29/0.62 % Starting sh5l with 300s (1) cores
% 0.29/0.62 % sh5l with pid 2655653 completed with status 0
% 0.29/0.62 % Result found by sh5l
% 0.29/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.29/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.29/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.29/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.29/0.62 % Starting sh5l with 300s (1) cores
% 0.29/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.29/0.62 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.29/0.62 % Search class: FGUNF-FFSF21-SFFFFFNN
% 0.29/0.62 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.29/0.62 % Starting SubtermCWHack with 31s (1) cores
% 0.29/0.62 % SubtermCWHack with pid 2655654 completed with status 0
% 0.29/0.62 % Result found by SubtermCWHack
% 0.29/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.29/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.29/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.29/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.29/0.62 % Starting sh5l with 300s (1) cores
% 0.29/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.29/0.62 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.29/0.62 % Search class: FGUNF-FFSF21-SFFFFFNN
% 0.29/0.62 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.29/0.62 % Starting SubtermCWHack with 31s (1) cores
% 0.29/0.62 % Preprocessing time : 0.002 s
% 0.29/0.62
% 0.29/0.62 % Proof found!
% 0.29/0.62 % SZS status Theorem
% 0.29/0.62 % SZS output start CNFRefutation
% See solution above
% 0.29/0.62 % Parsed axioms : 12
% 0.29/0.62 % Removed by relevancy pruning/SinE : 7
% 0.29/0.62 % Initial clauses : 13
% 0.29/0.62 % Removed in clause preprocessing : 0
% 0.29/0.62 % Initial clauses in saturation : 13
% 0.29/0.62 % Processed clauses : 19
% 0.29/0.62 % ...of these trivial : 0
% 0.29/0.62 % ...subsumed : 0
% 0.29/0.62 % ...remaining for further processing : 19
% 0.29/0.62 % Other redundant clauses eliminated : 0
% 0.29/0.62 % Clauses deleted for lack of memory : 0
% 0.29/0.62 % Backward-subsumed : 0
% 0.29/0.62 % Backward-rewritten : 0
% 0.29/0.62 % Generated clauses : 19
% 0.29/0.62 % ...of the previous two non-redundant : 13
% 0.29/0.62 % ...aggressively subsumed : 0
% 0.29/0.62 % Contextual simplify-reflections : 0
% 0.29/0.62 % Paramodulations : 19
% 0.29/0.62 % Factorizations : 0
% 0.29/0.62 % NegExts : 0
% 0.29/0.62 % Equation resolutions : 0
% 0.29/0.62 % Disequality decompositions : 0
% 0.29/0.62 % Total rewrite steps : 2
% 0.29/0.62 % ...of those cached : 0
% 0.29/0.62 % Propositional unsat checks : 0
% 0.29/0.62 % Propositional check models : 0
% 0.29/0.62 % Propositional check unsatisfiable : 0
% 0.29/0.62 % Propositional clauses : 0
% 0.29/0.62 % Propositional clauses after purity: 0
% 0.29/0.62 % Propositional unsat core size : 0
% 0.29/0.62 % Propositional preprocessing time : 0.000
% 0.29/0.62 % Propositional encoding time : 0.000
% 0.29/0.62 % Propositional solver time : 0.000
% 0.29/0.62 % Success case prop preproc time : 0.000
% 0.29/0.62 % Success case prop encoding time : 0.000
% 0.29/0.62 % Success case prop solver time : 0.000
% 0.29/0.62 % Current number of processed clauses : 19
% 0.29/0.62 % Positive orientable unit clauses : 2
% 0.29/0.62 % Positive unorientable unit clauses: 0
% 0.29/0.62 % Negative unit clauses : 1
% 0.29/0.62 % Non-unit-clauses : 16
% 0.29/0.62 % Current number of unprocessed clauses: 6
% 0.29/0.62 % ...number of literals in the above : 19
% 0.29/0.62 % Current number of archived formulas : 0
% 0.29/0.62 % Current number of archived clauses : 0
% 0.29/0.62 % Clause-clause subsumption calls (NU) : 26
% 0.29/0.62 % Rec. Clause-clause subsumption calls : 23
% 0.29/0.62 % Non-unit clause-clause subsumptions : 0
% 0.29/0.62 % Unit Clause-clause subsumption calls : 5
% 0.29/0.62 % Rewrite failures with RHS unbound : 0
% 0.29/0.62 % BW rewrite match attempts : 2
% 0.29/0.62 % BW rewrite match successes : 0
% 0.29/0.62 % Condensation attempts : 0
% 0.29/0.62 % Condensation successes : 0
% 0.29/0.62 % Termbank termtop insertions : 1123
% 0.29/0.62 % Search garbage collected termcells : 286
% 0.29/0.62
% 0.29/0.62 % -------------------------------------------------
% 0.29/0.62 % User time : 0.006 s
% 0.29/0.62 % System time : 0.004 s
% 0.29/0.62 % Total time : 0.010 s
% 0.29/0.62 % Maximum resident set size: 3904 pages
% 0.29/0.62
% 0.29/0.62 % -------------------------------------------------
% 0.29/0.62 % User time : 0.008 s
% 0.29/0.62 % System time : 0.011 s
% 0.29/0.62 % Total time : 0.019 s
% 0.29/0.62 % Maximum resident set size: 4864 pages
% 0.29/0.62 % E exiting
%------------------------------------------------------------------------------