%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 02:16:08 PM UTC 2026
% Result : Theorem 0.15s 0.48s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 35 ( 13 ~; 12 |; 6 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(transitivity,conjecture,
! [X1,X2,X5] :
( ( subclass(X2,X5)
& subclass(X1,X2) )
=> subclass(X1,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(subclass_defn,axiom,
! [X1,X2] :
( subclass(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X5] :
( ( subclass(X2,X5)
& subclass(X1,X2) )
=> subclass(X1,X5) ),
inference(assume_negation,[status(cth)],[transitivity]) ).
fof(c_0_3,plain,
! [X13,X14,X15,X16,X17] :
( ( subclass(X16,X17)
| ~ member(esk4_2(X16,X17),X17) )
& ( subclass(X16,X17)
| member(esk4_2(X16,X17),X16) )
& ( member(X15,X14)
| ~ member(X15,X13)
| ~ subclass(X13,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)],[subclass_defn])])])])])])]) ).
fof(c_0_4,negated_conjecture,
( ~ subclass(esk1_0,esk3_0)
& subclass(esk2_0,esk3_0)
& subclass(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_2])])])]) ).
cnf(c_0_5,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
subclass(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ member(esk4_2(X1,X2),X2)
| subclass(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( ~ member(X1,esk2_0)
| member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
subclass(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( ~ member(esk4_2(X1,esk3_0),esk2_0)
| subclass(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( ~ member(X1,esk1_0)
| member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( ~ member(esk4_2(X1,esk3_0),esk1_0)
| subclass(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
( subclass(X1,X2)
| member(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,negated_conjecture,
~ subclass(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 04:44:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 0.15/0.48 % Version: 3.5.1
% 0.15/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.48 % Starting sh5l with 300s (1) cores
% 0.15/0.48 % sh5l with pid 3162697 completed with status 0
% 0.15/0.48 % Result found by sh5l
% 0.15/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.48 % Starting sh5l with 300s (1) cores
% 0.15/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.15/0.48 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.48 % Search class: FGHSM-FFMM31-MFFFFFNN
% 0.15/0.48 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.48 % Starting SubtermCWHack with 28s (1) cores
% 0.15/0.48 % SubtermCWHack with pid 3162700 completed with status 0
% 0.15/0.48 % Result found by SubtermCWHack
% 0.15/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.48 % Starting sh5l with 300s (1) cores
% 0.15/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.15/0.48 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.48 % Search class: FGHSM-FFMM31-MFFFFFNN
% 0.15/0.48 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.48 % Starting SubtermCWHack with 28s (1) cores
% 0.15/0.48 % Preprocessing time : 0.002 s
% 0.15/0.48
% 0.15/0.48 % Proof found!
% 0.15/0.48 % SZS status Theorem
% 0.15/0.48 % SZS output start CNFRefutation
% See solution above
% 0.15/0.48 % Parsed axioms : 44
% 0.15/0.48 % Removed by relevancy pruning/SinE : 4
% 0.15/0.48 % Initial clauses : 82
% 0.15/0.48 % Removed in clause preprocessing : 0
% 0.15/0.48 % Initial clauses in saturation : 82
% 0.15/0.48 % Processed clauses : 93
% 0.15/0.48 % ...of these trivial : 0
% 0.15/0.48 % ...subsumed : 14
% 0.15/0.48 % ...remaining for further processing : 79
% 0.15/0.48 % Other redundant clauses eliminated : 4
% 0.15/0.48 % Clauses deleted for lack of memory : 0
% 0.15/0.48 % Backward-subsumed : 5
% 0.15/0.48 % Backward-rewritten : 1
% 0.15/0.48 % Generated clauses : 106
% 0.15/0.48 % ...of the previous two non-redundant : 94
% 0.15/0.48 % ...aggressively subsumed : 0
% 0.15/0.48 % Contextual simplify-reflections : 0
% 0.15/0.48 % Paramodulations : 102
% 0.15/0.48 % Factorizations : 0
% 0.15/0.48 % NegExts : 0
% 0.15/0.48 % Equation resolutions : 4
% 0.15/0.48 % Disequality decompositions : 0
% 0.15/0.48 % Total rewrite steps : 10
% 0.15/0.48 % ...of those cached : 1
% 0.15/0.48 % Propositional unsat checks : 0
% 0.15/0.48 % Propositional check models : 0
% 0.15/0.48 % Propositional check unsatisfiable : 0
% 0.15/0.48 % Propositional clauses : 0
% 0.15/0.48 % Propositional clauses after purity: 0
% 0.15/0.48 % Propositional unsat core size : 0
% 0.15/0.48 % Propositional preprocessing time : 0.000
% 0.15/0.48 % Propositional encoding time : 0.000
% 0.15/0.48 % Propositional solver time : 0.000
% 0.15/0.48 % Success case prop preproc time : 0.000
% 0.15/0.48 % Success case prop encoding time : 0.000
% 0.15/0.48 % Success case prop solver time : 0.000
% 0.15/0.48 % Current number of processed clauses : 69
% 0.15/0.48 % Positive orientable unit clauses : 24
% 0.15/0.48 % Positive unorientable unit clauses: 0
% 0.15/0.48 % Negative unit clauses : 2
% 0.15/0.48 % Non-unit-clauses : 43
% 0.15/0.48 % Current number of unprocessed clauses: 83
% 0.15/0.48 % ...number of literals in the above : 192
% 0.15/0.48 % Current number of archived formulas : 0
% 0.15/0.48 % Current number of archived clauses : 6
% 0.15/0.48 % Clause-clause subsumption calls (NU) : 226
% 0.15/0.48 % Rec. Clause-clause subsumption calls : 197
% 0.15/0.48 % Non-unit clause-clause subsumptions : 18
% 0.15/0.48 % Unit Clause-clause subsumption calls : 6
% 0.15/0.48 % Rewrite failures with RHS unbound : 0
% 0.15/0.48 % BW rewrite match attempts : 9
% 0.15/0.48 % BW rewrite match successes : 1
% 0.15/0.48 % Condensation attempts : 0
% 0.15/0.48 % Condensation successes : 0
% 0.15/0.48 % Termbank termtop insertions : 5863
% 0.15/0.48 % Search garbage collected termcells : 926
% 0.15/0.48
% 0.15/0.48 % -------------------------------------------------
% 0.15/0.48 % User time : 0.015 s
% 0.15/0.48 % System time : 0.004 s
% 0.15/0.48 % Total time : 0.018 s
% 0.15/0.48 % Maximum resident set size: 3948 pages
% 0.15/0.48
% 0.15/0.48 % -------------------------------------------------
% 0.15/0.48 % User time : 0.018 s
% 0.15/0.48 % System time : 0.011 s
% 0.15/0.48 % Total time : 0.029 s
% 0.15/0.48 % Maximum resident set size: 4608 pages
% 0.15/0.48 % E exiting
%------------------------------------------------------------------------------