%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN726+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 03:26:09 PM UTC 2026
% Result : Theorem 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 112 ( 31 ~; 39 |; 25 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 94 ( 4 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm400,conjecture,
( ! [X1,X2] : q(X1,X2)
| ( ( ! [X1,X2] :
( q(X1,X2)
| p(X1,X2) )
& ! [X1,X2] :
( q(X1,X2)
=> q(X2,X1) )
& ! [X1,X2,X3] :
( ( q(X2,X3)
& q(X1,X2) )
=> q(X1,X3) )
& ! [X1,X2,X3] :
( ( p(X2,X3)
& p(X1,X2) )
=> p(X1,X3) ) )
=> ! [X1,X2] : p(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400) ).
fof(c_0_1,plain,
( epred1_0
<=> ( ! [X1,X2] :
( q(X1,X2)
| p(X1,X2) )
& ! [X1,X2] :
( q(X1,X2)
=> q(X2,X1) )
& ! [X1,X2,X3] :
( ( q(X2,X3)
& q(X1,X2) )
=> q(X1,X3) )
& ! [X1,X2,X3] :
( ( p(X2,X3)
& p(X1,X2) )
=> p(X1,X3) ) ) ),
introduced(definition) ).
fof(c_0_2,negated_conjecture,
~ ( ! [X1,X2] : q(X1,X2)
| ( ( ! [X1,X2] :
( q(X1,X2)
| p(X1,X2) )
& ! [X1,X2] :
( q(X1,X2)
=> q(X2,X1) )
& ! [X1,X2,X3] :
( ( q(X2,X3)
& q(X1,X2) )
=> q(X1,X3) )
& ! [X1,X2,X3] :
( ( p(X2,X3)
& p(X1,X2) )
=> p(X1,X3) ) )
=> ! [X1,X2] : p(X1,X2) ) ),
inference(assume_negation,[status(cth)],[thm400]) ).
fof(c_0_3,plain,
( epred1_0
=> ( ! [X1,X2] :
( q(X1,X2)
| p(X1,X2) )
& ! [X1,X2] :
( q(X1,X2)
=> q(X2,X1) )
& ! [X1,X2,X3] :
( ( q(X2,X3)
& q(X1,X2) )
=> q(X1,X3) )
& ! [X1,X2,X3] :
( ( p(X2,X3)
& p(X1,X2) )
=> p(X1,X3) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1,X2] : q(X1,X2)
| ( epred1_0
=> ! [X1,X2] : p(X1,X2) ) ),
inference(apply_def,[status(thm)],[c_0_2,c_0_1]) ).
fof(c_0_5,plain,
! [X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( ~ epred1_0
| q(X16,X17)
| p(X16,X17) )
& ( ~ epred1_0
| q(X15,X14)
| ~ q(X14,X15) )
& ( ~ epred1_0
| q(X11,X13)
| ~ q(X12,X13)
| ~ q(X11,X12) )
& ( ~ epred1_0
| p(X8,X10)
| ~ p(X9,X10)
| ~ p(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_6,negated_conjecture,
( ~ q(esk3_0,esk4_0)
& ~ p(esk1_0,esk2_0)
& epred1_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_7,plain,
( ~ epred1_0
| ~ p(X2,X3)
| ~ p(X1,X2)
| p(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( ~ epred1_0
| q(X1,X2)
| p(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( ~ p(X1,X3)
| ~ p(X3,X2)
| p(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_11,plain,
( p(X1,X2)
| q(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8])]) ).
cnf(c_0_12,plain,
( ~ epred1_0
| ~ q(X1,X2)
| q(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
~ p(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( ~ p(X3,X1)
| p(X3,X2)
| q(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( ~ epred1_0
| ~ q(X2,X3)
| ~ q(X1,X2)
| q(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,plain,
( ~ q(X2,X1)
| q(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_8])]) ).
cnf(c_0_17,negated_conjecture,
q(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_18,plain,
( p(X1,X3)
| q(X2,X3)
| q(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_19,plain,
( ~ q(X1,X3)
| ~ q(X3,X2)
| q(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_8])]) ).
cnf(c_0_20,negated_conjecture,
q(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( q(esk1_0,X1)
| q(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( ~ q(X1,esk2_0)
| q(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
q(X1,esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_21]),c_0_22]) ).
cnf(c_0_24,plain,
q(esk1_0,X1),
inference(spm,[status(thm)],[c_0_16,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
~ q(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,plain,
q(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_24]),c_0_23])]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN726+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:15:45 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 0.16/0.44 % Version: 3.5.1
% 0.16/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 % Starting sh5l with 300s (1) cores
% 0.16/0.44 % new_bool_3 with pid 1743726 completed with status 0
% 0.16/0.44 % Result found by new_bool_3
% 0.16/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44 % Search class: FGUNF-FFSF00-SFFFFFNN
% 0.16/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.44 % SubtermCWHack with pid 1743732 completed with status 0
% 0.16/0.44 % Result found by SubtermCWHack
% 0.16/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44 % Search class: FGUNF-FFSF00-SFFFFFNN
% 0.16/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.44 % Preprocessing time : 0.001 s
% 0.16/0.44
% 0.16/0.44 % Proof found!
% 0.16/0.44 % SZS status Theorem
% 0.16/0.44 % SZS output start CNFRefutation
% See solution above
% 0.16/0.44 % Parsed axioms : 1
% 0.16/0.44 % Removed by relevancy pruning/SinE : 0
% 0.16/0.44 % Initial clauses : 7
% 0.16/0.44 % Removed in clause preprocessing : 0
% 0.16/0.44 % Initial clauses in saturation : 7
% 0.16/0.44 % Processed clauses : 20
% 0.16/0.44 % ...of these trivial : 0
% 0.16/0.44 % ...subsumed : 0
% 0.16/0.44 % ...remaining for further processing : 20
% 0.16/0.44 % Other redundant clauses eliminated : 0
% 0.16/0.44 % Clauses deleted for lack of memory : 0
% 0.16/0.44 % Backward-subsumed : 2
% 0.16/0.44 % Backward-rewritten : 14
% 0.16/0.44 % Generated clauses : 34
% 0.16/0.44 % ...of the previous two non-redundant : 27
% 0.16/0.44 % ...aggressively subsumed : 0
% 0.16/0.44 % Contextual simplify-reflections : 1
% 0.16/0.44 % Paramodulations : 34
% 0.16/0.44 % Factorizations : 0
% 0.16/0.44 % NegExts : 0
% 0.16/0.44 % Equation resolutions : 0
% 0.16/0.44 % Disequality decompositions : 0
% 0.16/0.44 % Total rewrite steps : 29
% 0.16/0.44 % ...of those cached : 11
% 0.16/0.44 % Propositional unsat checks : 0
% 0.16/0.44 % Propositional check models : 0
% 0.16/0.44 % Propositional check unsatisfiable : 0
% 0.16/0.44 % Propositional clauses : 0
% 0.16/0.44 % Propositional clauses after purity: 0
% 0.16/0.44 % Propositional unsat core size : 0
% 0.16/0.44 % Propositional preprocessing time : 0.000
% 0.16/0.44 % Propositional encoding time : 0.000
% 0.16/0.44 % Propositional solver time : 0.000
% 0.16/0.44 % Success case prop preproc time : 0.000
% 0.16/0.44 % Success case prop encoding time : 0.000
% 0.16/0.44 % Success case prop solver time : 0.000
% 0.16/0.44 % Current number of processed clauses : 4
% 0.16/0.44 % Positive orientable unit clauses : 2
% 0.16/0.44 % Positive unorientable unit clauses: 0
% 0.16/0.44 % Negative unit clauses : 1
% 0.16/0.44 % Non-unit-clauses : 1
% 0.16/0.44 % Current number of unprocessed clauses: 14
% 0.16/0.44 % ...number of literals in the above : 41
% 0.16/0.44 % Current number of archived formulas : 0
% 0.16/0.44 % Current number of archived clauses : 16
% 0.16/0.44 % Clause-clause subsumption calls (NU) : 20
% 0.16/0.44 % Rec. Clause-clause subsumption calls : 19
% 0.16/0.44 % Non-unit clause-clause subsumptions : 1
% 0.16/0.44 % Unit Clause-clause subsumption calls : 33
% 0.16/0.44 % Rewrite failures with RHS unbound : 0
% 0.16/0.44 % BW rewrite match attempts : 15
% 0.16/0.44 % BW rewrite match successes : 15
% 0.16/0.44 % Condensation attempts : 0
% 0.16/0.44 % Condensation successes : 0
% 0.16/0.44 % Termbank termtop insertions : 800
% 0.16/0.44 % Search garbage collected termcells : 138
% 0.16/0.44
% 0.16/0.44 % -------------------------------------------------
% 0.16/0.44 % User time : 0.005 s
% 0.16/0.44 % System time : 0.000 s
% 0.16/0.44 % Total time : 0.005 s
% 0.16/0.44 % Maximum resident set size: 3628 pages
% 0.16/0.44
% 0.16/0.44 % -------------------------------------------------
% 0.16/0.44 % User time : 0.007 s
% 0.16/0.44 % System time : 0.003 s
% 0.16/0.44 % Total time : 0.011 s
% 0.16/0.44 % Maximum resident set size: 4864 pages
% 0.16/0.44 % E exiting
%------------------------------------------------------------------------------