%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MGT049+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:26:54 PM UTC 2026
% Result : Theorem 0.22s 0.55s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 35 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 9 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 6 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(assumption_6,axiom,
! [X1,X4,X5] :
( organization(X1)
=> ( ( external_ties(X1,X5) = external_ties(X1,X4)
=> position(X1,X5) = position(X1,X4) )
& ( greater(external_ties(X1,X5),external_ties(X1,X4))
=> greater(position(X1,X5),position(X1,X4)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(assumption_11,axiom,
! [X1,X4,X5] :
( organization(X1)
=> external_ties(X1,X5) = external_ties(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11) ).
fof(lemma_6,conjecture,
! [X1,X4,X5] :
( ( greater(age(X1,X5),age(X1,X4))
& organization(X1) )
=> position(X1,X5) = position(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_6) ).
fof(c_0_3,plain,
! [X9,X10,X11] :
( ( ~ organization(X9)
| position(X9,X11) = position(X9,X10)
| external_ties(X9,X11) != external_ties(X9,X10) )
& ( ~ organization(X9)
| greater(position(X9,X11),position(X9,X10))
| ~ greater(external_ties(X9,X11),external_ties(X9,X10)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])])]) ).
fof(c_0_4,plain,
! [X17,X18,X19] :
( external_ties(X17,X19) = external_ties(X17,X18)
| ~ organization(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_11])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X4,X5] :
( ( greater(age(X1,X5),age(X1,X4))
& organization(X1) )
=> position(X1,X5) = position(X1,X4) ),
inference(assume_negation,[status(cth)],[lemma_6]) ).
cnf(c_0_6,plain,
( ~ organization(X1)
| external_ties(X1,X2) != external_ties(X1,X3)
| position(X1,X2) = position(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( ~ organization(X1)
| external_ties(X1,X2) = external_ties(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( position(esk1_0,esk3_0) != position(esk1_0,esk2_0)
& greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0))
& organization(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,
( ~ organization(X1)
| position(X1,X2) = position(X1,X3) ),
inference(csr,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
position(esk1_0,esk3_0) != position(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
position(esk1_0,X1) = position(esk1_0,X2),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_11,c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT049+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n010.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 01:23:54 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 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
% 0.22/0.55 % Version: 3.5.1
% 0.22/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.55 % Starting sh5l with 300s (1) cores
% 0.22/0.55 % new_bool_1 with pid 3952172 completed with status 0
% 0.22/0.55 % Result found by new_bool_1
% 0.22/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.55 % Search class: FHHSF-FFSF22-SFFFFFNN
% 0.22/0.55 % partial match(1): FGHSF-FFSF22-SFFFFFNN
% 0.22/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.55 % SubtermCWHack with pid 3952177 completed with status 0
% 0.22/0.55 % Result found by SubtermCWHack
% 0.22/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.55 % Search class: FHHSF-FFSF22-SFFFFFNN
% 0.22/0.55 % partial match(1): FGHSF-FFSF22-SFFFFFNN
% 0.22/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.55 % Preprocessing time : 0.001 s
% 0.22/0.55
% 0.22/0.55 % Proof found!
% 0.22/0.55 % SZS status Theorem
% 0.22/0.55 % SZS output start CNFRefutation
% See solution above
% 0.22/0.55 % Parsed axioms : 9
% 0.22/0.55 % Removed by relevancy pruning/SinE : 4
% 0.22/0.55 % Initial clauses : 8
% 0.22/0.55 % Removed in clause preprocessing : 0
% 0.22/0.55 % Initial clauses in saturation : 8
% 0.22/0.55 % Processed clauses : 18
% 0.22/0.55 % ...of these trivial : 0
% 0.22/0.55 % ...subsumed : 5
% 0.22/0.55 % ...remaining for further processing : 13
% 0.22/0.55 % Other redundant clauses eliminated : 0
% 0.22/0.55 % Clauses deleted for lack of memory : 0
% 0.22/0.55 % Backward-subsumed : 0
% 0.22/0.55 % Backward-rewritten : 0
% 0.22/0.55 % Generated clauses : 16
% 0.22/0.55 % ...of the previous two non-redundant : 11
% 0.22/0.55 % ...aggressively subsumed : 0
% 0.22/0.55 % Contextual simplify-reflections : 1
% 0.22/0.55 % Paramodulations : 15
% 0.22/0.55 % Factorizations : 0
% 0.22/0.55 % NegExts : 0
% 0.22/0.55 % Equation resolutions : 0
% 0.22/0.55 % Disequality decompositions : 0
% 0.22/0.55 % Total rewrite steps : 0
% 0.22/0.55 % ...of those cached : 0
% 0.22/0.55 % Propositional unsat checks : 0
% 0.22/0.55 % Propositional check models : 0
% 0.22/0.55 % Propositional check unsatisfiable : 0
% 0.22/0.55 % Propositional clauses : 0
% 0.22/0.55 % Propositional clauses after purity: 0
% 0.22/0.55 % Propositional unsat core size : 0
% 0.22/0.55 % Propositional preprocessing time : 0.000
% 0.22/0.55 % Propositional encoding time : 0.000
% 0.22/0.55 % Propositional solver time : 0.000
% 0.22/0.55 % Success case prop preproc time : 0.000
% 0.22/0.55 % Success case prop encoding time : 0.000
% 0.22/0.55 % Success case prop solver time : 0.000
% 0.22/0.55 % Current number of processed clauses : 12
% 0.22/0.55 % Positive orientable unit clauses : 2
% 0.22/0.55 % Positive unorientable unit clauses: 2
% 0.22/0.55 % Negative unit clauses : 1
% 0.22/0.55 % Non-unit-clauses : 7
% 0.22/0.55 % Current number of unprocessed clauses: 1
% 0.22/0.55 % ...number of literals in the above : 3
% 0.22/0.55 % Current number of archived formulas : 0
% 0.22/0.55 % Current number of archived clauses : 1
% 0.22/0.55 % Clause-clause subsumption calls (NU) : 12
% 0.22/0.55 % Rec. Clause-clause subsumption calls : 11
% 0.22/0.55 % Non-unit clause-clause subsumptions : 1
% 0.22/0.55 % Unit Clause-clause subsumption calls : 0
% 0.22/0.55 % Rewrite failures with RHS unbound : 24
% 0.22/0.55 % BW rewrite match attempts : 4
% 0.22/0.55 % BW rewrite match successes : 4
% 0.22/0.55 % Condensation attempts : 0
% 0.22/0.55 % Condensation successes : 0
% 0.22/0.55 % Termbank termtop insertions : 746
% 0.22/0.55 % Search garbage collected termcells : 146
% 0.22/0.55
% 0.22/0.55 % -------------------------------------------------
% 0.22/0.55 % User time : 0.006 s
% 0.22/0.55 % System time : 0.001 s
% 0.22/0.55 % Total time : 0.008 s
% 0.22/0.55 % Maximum resident set size: 3640 pages
% 0.22/0.55
% 0.22/0.55 % -------------------------------------------------
% 0.22/0.55 % User time : 0.011 s
% 0.22/0.55 % System time : 0.005 s
% 0.22/0.55 % Total time : 0.016 s
% 0.22/0.55 % Maximum resident set size: 4864 pages
% 0.22/0.55 % E exiting
%------------------------------------------------------------------------------