%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET027-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:13:11 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.61s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 8 unt; 2 nHn; 18 RR)
% Number of literals : 35 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 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 : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(prove_transitivity_of_subclass_2,negated_conjecture,
subclass(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_2) ).
cnf(prove_transitivity_of_subclass_1,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_1) ).
cnf(prove_transitivity_of_subclass_3,negated_conjecture,
~ subclass(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_3) ).
cnf(not_subclass_members1,axiom,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_0_6,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
inference(fof_simplification,[status(thm)],[subclass_members]) ).
cnf(c_0_7,plain,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
inference(fof_simplification,[status(thm)],[not_subclass_members2]) ).
cnf(c_0_8,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
c_0_6 ).
cnf(c_0_9,negated_conjecture,
subclass(y,z),
prove_transitivity_of_subclass_2 ).
cnf(c_0_10,plain,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
c_0_7 ).
cnf(c_0_11,negated_conjecture,
( ~ member(X1,y)
| member(X1,z) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
subclass(x,y),
prove_transitivity_of_subclass_1 ).
cnf(c_0_13,negated_conjecture,
( ~ member(not_subclass_element(X1,z),y)
| subclass(X1,z) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( ~ member(X1,x)
| member(X1,y) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ subclass(x,z),
inference(fof_simplification,[status(thm)],[prove_transitivity_of_subclass_3]) ).
cnf(c_0_16,negated_conjecture,
( ~ member(not_subclass_element(X1,z),x)
| subclass(X1,z) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,axiom,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),X1) ),
not_subclass_members1 ).
cnf(c_0_18,negated_conjecture,
~ subclass(x,z),
c_0_15 ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET027-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 04:44:36 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 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
% 0.23/0.61 % Version: 3.5.1
% 0.23/0.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.61 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.61 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.61 % Starting sh5l with 300s (1) cores
% 0.23/0.61 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2271858 completed with status 0
% 0.23/0.61 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.23/0.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.61 % No SInE strategy applied
% 0.23/0.61 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.23/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.23/0.61 % Starting new_bool_3 with 311s (1) cores
% 0.23/0.61 % Starting new_bool_1 with 308s (1) cores
% 0.23/0.61 % Starting sh5l with 304s (1) cores
% 0.23/0.61 % sh5l with pid 2271871 completed with status 0
% 0.23/0.61 % Result found by sh5l
% 0.23/0.61 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.23/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.23/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.61 % No SInE strategy applied
% 0.23/0.61 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.23/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.61 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.61 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.23/0.61 % Starting new_bool_3 with 311s (1) cores
% 0.23/0.61 % Starting new_bool_1 with 308s (1) cores
% 0.23/0.61 % Starting sh5l with 304s (1) cores
% 0.23/0.61 % Preprocessing time : 0.004 s
% 0.23/0.61 % Presaturation interreduction done
% 0.23/0.61
% 0.23/0.61 % Proof found!
% 0.23/0.61 % SZS status Unsatisfiable
% 0.23/0.61 % SZS output start CNFRefutation
% See solution above
% 0.23/0.61 % Parsed axioms : 94
% 0.23/0.61 % Removed by relevancy pruning/SinE : 0
% 0.23/0.61 % Initial clauses : 94
% 0.23/0.61 % Removed in clause preprocessing : 15
% 0.23/0.61 % Initial clauses in saturation : 79
% 0.23/0.61 % Processed clauses : 134
% 0.23/0.61 % ...of these trivial : 0
% 0.23/0.61 % ...subsumed : 0
% 0.23/0.61 % ...remaining for further processing : 134
% 0.23/0.61 % Other redundant clauses eliminated : 3
% 0.23/0.61 % Clauses deleted for lack of memory : 0
% 0.23/0.61 % Backward-subsumed : 0
% 0.23/0.61 % Backward-rewritten : 0
% 0.23/0.61 % Generated clauses : 52
% 0.23/0.61 % ...of the previous two non-redundant : 42
% 0.23/0.61 % ...aggressively subsumed : 0
% 0.23/0.61 % Contextual simplify-reflections : 0
% 0.23/0.61 % Paramodulations : 49
% 0.23/0.61 % Factorizations : 0
% 0.23/0.61 % NegExts : 0
% 0.23/0.61 % Equation resolutions : 3
% 0.23/0.61 % Disequality decompositions : 0
% 0.23/0.61 % Total rewrite steps : 7
% 0.23/0.61 % ...of those cached : 1
% 0.23/0.61 % Propositional unsat checks : 0
% 0.23/0.61 % Propositional check models : 0
% 0.23/0.61 % Propositional check unsatisfiable : 0
% 0.23/0.61 % Propositional clauses : 0
% 0.23/0.61 % Propositional clauses after purity: 0
% 0.23/0.61 % Propositional unsat core size : 0
% 0.23/0.61 % Propositional preprocessing time : 0.000
% 0.23/0.61 % Propositional encoding time : 0.000
% 0.23/0.61 % Propositional solver time : 0.000
% 0.23/0.61 % Success case prop preproc time : 0.000
% 0.23/0.61 % Success case prop encoding time : 0.000
% 0.23/0.61 % Success case prop solver time : 0.000
% 0.23/0.61 % Current number of processed clauses : 53
% 0.23/0.61 % Positive orientable unit clauses : 13
% 0.23/0.61 % Positive unorientable unit clauses: 0
% 0.23/0.61 % Negative unit clauses : 1
% 0.23/0.61 % Non-unit-clauses : 39
% 0.23/0.61 % Current number of unprocessed clauses: 65
% 0.23/0.61 % ...number of literals in the above : 153
% 0.23/0.61 % Current number of archived formulas : 0
% 0.23/0.61 % Current number of archived clauses : 93
% 0.23/0.61 % Clause-clause subsumption calls (NU) : 1027
% 0.23/0.61 % Rec. Clause-clause subsumption calls : 606
% 0.23/0.61 % Non-unit clause-clause subsumptions : 0
% 0.23/0.61 % Unit Clause-clause subsumption calls : 8
% 0.23/0.61 % Rewrite failures with RHS unbound : 0
% 0.23/0.61 % BW rewrite match attempts : 10
% 0.23/0.61 % BW rewrite match successes : 1
% 0.23/0.61 % Condensation attempts : 134
% 0.23/0.61 % Condensation successes : 0
% 0.23/0.61 % Termbank termtop insertions : 7107
% 0.23/0.61 % Search garbage collected termcells : 156
% 0.23/0.61
% 0.23/0.61 % -------------------------------------------------
% 0.23/0.61 % User time : 0.022 s
% 0.23/0.61 % System time : 0.008 s
% 0.23/0.61 % Total time : 0.030 s
% 0.23/0.61 % Maximum resident set size: 3464 pages
% 0.23/0.61
% 0.23/0.61 % -------------------------------------------------
% 0.23/0.61 % User time : 0.039 s
% 0.23/0.61 % System time : 0.023 s
% 0.23/0.61 % Total time : 0.062 s
% 0.23/0.61 % Maximum resident set size: 4864 pages
% 0.23/0.61 % E exiting
%------------------------------------------------------------------------------