%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET974+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 : n008.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 02:15:52 PM UTC 2026
% Result : Theorem 0.22s 0.85s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 53 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 61 ( 29 ~; 17 |; 13 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-5 aty)
% Number of variables : 66 ( 11 sgn 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t4_xboole_0,axiom,
! [X1,X2] :
( ~ ( disjoint(X1,X2)
& ? [X3] : in(X3,set_intersection2(X1,X2)) )
& ~ ( ! [X3] : ~ in(X3,set_intersection2(X1,X2))
& ~ disjoint(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
fof(t104_zfmisc_1,axiom,
! [X1,X2,X3,X4,X5] :
~ ( ! [X6,X7] :
~ ( in(X7,set_intersection2(X3,X5))
& in(X6,set_intersection2(X2,X4))
& X1 = ordered_pair(X6,X7) )
& in(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t104_zfmisc_1) ).
fof(t127_zfmisc_1,conjecture,
! [X1,X2,X3,X4] :
( ( disjoint(X3,X4)
| disjoint(X1,X2) )
=> disjoint(cartesian_product2(X1,X3),cartesian_product2(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t127_zfmisc_1) ).
fof(c_0_3,plain,
! [X1,X2] :
( ~ ( disjoint(X1,X2)
& ? [X3] : in(X3,set_intersection2(X1,X2)) )
& ~ ( ! [X3] : ~ in(X3,set_intersection2(X1,X2))
& ~ disjoint(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t4_xboole_0]) ).
fof(c_0_4,plain,
! [X14,X15,X17,X18,X19] :
( ( ~ disjoint(X17,X18)
| ~ in(X19,set_intersection2(X17,X18)) )
& ( in(esk5_2(X14,X15),set_intersection2(X14,X15))
| disjoint(X14,X15) ) ),
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])])])])])]) ).
fof(c_0_5,plain,
! [X20,X21,X22,X23,X24] :
( ( ~ in(X20,set_intersection2(cartesian_product2(X21,X22),cartesian_product2(X23,X24)))
| in(esk7_5(X20,X21,X22,X23,X24),set_intersection2(X22,X24)) )
& ( ~ in(X20,set_intersection2(cartesian_product2(X21,X22),cartesian_product2(X23,X24)))
| in(esk6_5(X20,X21,X22,X23,X24),set_intersection2(X21,X23)) )
& ( ~ in(X20,set_intersection2(cartesian_product2(X21,X22),cartesian_product2(X23,X24)))
| X20 = ordered_pair(esk6_5(X20,X21,X22,X23,X24),esk7_5(X20,X21,X22,X23,X24)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t104_zfmisc_1])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( disjoint(X3,X4)
| disjoint(X1,X2) )
=> disjoint(cartesian_product2(X1,X3),cartesian_product2(X2,X4)) ),
inference(assume_negation,[status(cth)],[t127_zfmisc_1]) ).
cnf(c_0_7,plain,
( ~ disjoint(X2,X3)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( ~ in(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)))
| in(esk6_5(X1,X2,X3,X4,X5),set_intersection2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,negated_conjecture,
( ~ disjoint(cartesian_product2(esk1_0,esk3_0),cartesian_product2(esk2_0,esk4_0))
& ( disjoint(esk3_0,esk4_0)
| disjoint(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_6])])])]) ).
cnf(c_0_10,plain,
( ~ in(X3,set_intersection2(cartesian_product2(X1,X4),cartesian_product2(X2,X5)))
| ~ disjoint(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( in(esk5_2(X1,X2),set_intersection2(X1,X2))
| disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( ~ in(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)))
| in(esk7_5(X1,X2,X3,X4,X5),set_intersection2(X3,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
~ disjoint(cartesian_product2(esk1_0,esk3_0),cartesian_product2(esk2_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( ~ disjoint(X1,X3)
| disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( ~ in(X3,set_intersection2(cartesian_product2(X4,X1),cartesian_product2(X5,X2)))
| ~ disjoint(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( disjoint(esk3_0,esk4_0)
| disjoint(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
~ disjoint(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( ~ disjoint(X2,X4)
| disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4)) ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_19,negated_conjecture,
disjoint(esk3_0,esk4_0),
inference(sr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET974+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.71 % Computer : n008.cluster.edu
% 0.18/0.71 % Model : x86_64 x86_64
% 0.18/0.71 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.71 % Memory : 8046.5625MB
% 0.18/0.71 % OS : Linux 6.8.0-71-generic
% 0.18/0.71 % CPULimit : 300
% 0.18/0.71 % WCLimit : 300
% 0.18/0.71 % DateTime : Mon Sep 21 05:45:54 UTC 2026
% 0.18/0.71 % CPUTime :
% 0.18/0.71 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.78 Running first-order theorem proving
% 0.18/0.78 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
% 0.22/0.85 % Version: 3.5.1
% 0.22/0.85 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.85 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.85 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.85 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.85 % Starting sh5l with 300s (1) cores
% 0.22/0.85 % sh5l with pid 270438 completed with status 0
% 0.22/0.85 % Result found by sh5l
% 0.22/0.85 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.85 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.85 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.85 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.85 % Starting sh5l with 300s (1) cores
% 0.22/0.85 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.22/0.85 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.85 % Search class: FGHSM-FFSF32-SFFFFFNN
% 0.22/0.85 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.85 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.85 % SubtermCWHack with pid 270445 completed with status 0
% 0.22/0.85 % Result found by SubtermCWHack
% 0.22/0.85 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.85 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.85 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.85 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.85 % Starting sh5l with 300s (1) cores
% 0.22/0.85 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.22/0.85 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.85 % Search class: FGHSM-FFSF32-SFFFFFNN
% 0.22/0.85 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.85 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.85 % Preprocessing time : 0.001 s
% 0.22/0.85
% 0.22/0.85 % Proof found!
% 0.22/0.85 % SZS status Theorem
% 0.22/0.85 % SZS output start CNFRefutation
% See solution above
% 0.22/0.85 % Parsed axioms : 12
% 0.22/0.85 % Removed by relevancy pruning/SinE : 0
% 0.22/0.85 % Initial clauses : 16
% 0.22/0.85 % Removed in clause preprocessing : 0
% 0.22/0.85 % Initial clauses in saturation : 16
% 0.22/0.85 % Processed clauses : 91
% 0.22/0.85 % ...of these trivial : 6
% 0.22/0.85 % ...subsumed : 39
% 0.22/0.85 % ...remaining for further processing : 46
% 0.22/0.85 % Other redundant clauses eliminated : 0
% 0.22/0.85 % Clauses deleted for lack of memory : 0
% 0.22/0.85 % Backward-subsumed : 0
% 0.22/0.85 % Backward-rewritten : 0
% 0.22/0.85 % Generated clauses : 165
% 0.22/0.85 % ...of the previous two non-redundant : 147
% 0.22/0.85 % ...aggressively subsumed : 0
% 0.22/0.85 % Contextual simplify-reflections : 0
% 0.22/0.85 % Paramodulations : 163
% 0.22/0.85 % Factorizations : 0
% 0.22/0.85 % NegExts : 0
% 0.22/0.85 % Equation resolutions : 0
% 0.22/0.85 % Disequality decompositions : 0
% 0.22/0.85 % Total rewrite steps : 18
% 0.22/0.85 % ...of those cached : 8
% 0.22/0.85 % Propositional unsat checks : 0
% 0.22/0.85 % Propositional check models : 0
% 0.22/0.85 % Propositional check unsatisfiable : 0
% 0.22/0.85 % Propositional clauses : 0
% 0.22/0.85 % Propositional clauses after purity: 0
% 0.22/0.85 % Propositional unsat core size : 0
% 0.22/0.85 % Propositional preprocessing time : 0.000
% 0.22/0.85 % Propositional encoding time : 0.000
% 0.22/0.85 % Propositional solver time : 0.000
% 0.22/0.85 % Success case prop preproc time : 0.000
% 0.22/0.85 % Success case prop encoding time : 0.000
% 0.22/0.85 % Success case prop solver time : 0.000
% 0.22/0.85 % Current number of processed clauses : 44
% 0.22/0.85 % Positive orientable unit clauses : 9
% 0.22/0.85 % Positive unorientable unit clauses: 2
% 0.22/0.85 % Negative unit clauses : 5
% 0.22/0.85 % Non-unit-clauses : 28
% 0.22/0.85 % Current number of unprocessed clauses: 70
% 0.22/0.85 % ...number of literals in the above : 114
% 0.22/0.85 % Current number of archived formulas : 0
% 0.22/0.85 % Current number of archived clauses : 2
% 0.22/0.85 % Clause-clause subsumption calls (NU) : 168
% 0.22/0.85 % Rec. Clause-clause subsumption calls : 165
% 0.22/0.85 % Non-unit clause-clause subsumptions : 39
% 0.22/0.85 % Unit Clause-clause subsumption calls : 24
% 0.22/0.85 % Rewrite failures with RHS unbound : 0
% 0.22/0.85 % BW rewrite match attempts : 4
% 0.22/0.85 % BW rewrite match successes : 2
% 0.22/0.85 % Condensation attempts : 0
% 0.22/0.85 % Condensation successes : 0
% 0.22/0.85 % Termbank termtop insertions : 2379
% 0.22/0.85 % Search garbage collected termcells : 174
% 0.22/0.85
% 0.22/0.85 % -------------------------------------------------
% 0.22/0.85 % User time : 0.008 s
% 0.22/0.85 % System time : 0.004 s
% 0.22/0.85 % Total time : 0.012 s
% 0.22/0.85 % Maximum resident set size: 3592 pages
% 0.22/0.85
% 0.22/0.85 % -------------------------------------------------
% 0.22/0.85 % User time : 0.010 s
% 0.22/0.85 % System time : 0.010 s
% 0.22/0.85 % Total time : 0.020 s
% 0.22/0.85 % Maximum resident set size: 4608 pages
% 0.22/0.85 % E exiting
%------------------------------------------------------------------------------