%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN069+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 03:23:01 PM UTC 2026
% Result : ContradictoryAxioms 0.15s 15.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 104 ( 39 ~; 43 |; 18 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 11 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel45_1,axiom,
! [X1] :
( ( ! [X2] :
( ( big_h(X1,X2)
& big_g(X2) )
=> big_j(X1,X2) )
& big_f(X1) )
=> ! [X3] :
( big_k(X3)
& big_h(X1,X3)
& big_g(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_1) ).
fof(pel45_3,axiom,
? [X1] :
( ! [X3] :
( ( big_h(X1,X3)
& big_g(X3) )
=> big_j(X1,X3) )
& ! [X2] :
( big_h(X1,X2)
=> big_l(X2) )
& big_f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_3) ).
fof(pel45_2,axiom,
~ ? [X2] :
( big_k(X2)
& big_l(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_2) ).
fof(c_0_3,plain,
! [X4,X6,X7,X8] :
( ( ~ big_f(X4)
| ~ big_j(X4,esk1_1(X4))
| big_k(X8) )
& ( ~ big_f(X4)
| ~ big_j(X4,esk1_1(X4))
| big_h(X4,X7) )
& ( ~ big_f(X4)
| ~ big_j(X4,esk1_1(X4))
| big_g(X6) )
& ( ~ big_f(X4)
| big_h(X4,esk1_1(X4))
| big_k(X8) )
& ( ~ big_f(X4)
| big_h(X4,esk1_1(X4))
| big_h(X4,X7) )
& ( ~ big_f(X4)
| big_h(X4,esk1_1(X4))
| big_g(X6) )
& ( ~ big_f(X4)
| big_g(esk1_1(X4))
| big_k(X8) )
& ( ~ big_f(X4)
| big_g(esk1_1(X4))
| big_h(X4,X7) )
& ( ~ big_f(X4)
| big_g(esk1_1(X4))
| big_g(X6) ) ),
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)],[pel45_1])])])])])])]) ).
fof(c_0_4,plain,
! [X11,X12] :
( ( big_j(esk2_0,X12)
| ~ big_h(esk2_0,X12)
| ~ big_g(X12) )
& ( big_l(X11)
| ~ big_h(esk2_0,X11) )
& big_f(esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel45_3])])])])]) ).
cnf(c_0_5,plain,
( ~ big_f(X2)
| big_g(esk1_1(X2))
| big_g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
big_f(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ big_f(X1)
| ~ big_j(X1,esk1_1(X1))
| big_h(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,plain,
( ~ big_h(esk2_0,X1)
| ~ big_g(X1)
| big_j(esk2_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( big_g(X1)
| big_g(esk1_1(esk2_0)) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
fof(c_0_10,plain,
! [X9] :
( ~ big_k(X9)
| ~ big_l(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel45_2])])]) ).
cnf(c_0_11,plain,
( ~ big_g(esk1_1(esk2_0))
| ~ big_h(esk2_0,esk1_1(esk2_0))
| big_h(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_6])]) ).
cnf(c_0_12,plain,
big_g(esk1_1(esk2_0)),
inference(ef,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ big_f(X1)
| big_h(X1,esk1_1(X1))
| big_h(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,plain,
( ~ big_f(X2)
| ~ big_j(X2,esk1_1(X2))
| big_k(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,plain,
( ~ big_k(X1)
| ~ big_l(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( ~ big_h(esk2_0,X1)
| big_l(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
( ~ big_h(esk2_0,esk1_1(esk2_0))
| big_h(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
cnf(c_0_18,plain,
( ~ big_f(X1)
| big_h(X1,esk1_1(X1)) ),
inference(ef,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( ~ big_g(esk1_1(esk2_0))
| ~ big_h(esk2_0,esk1_1(esk2_0))
| big_k(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_8]),c_0_6])]) ).
cnf(c_0_20,plain,
( ~ big_h(esk2_0,X1)
| ~ big_k(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
big_h(esk2_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_6])]) ).
cnf(c_0_22,plain,
( ~ big_h(esk2_0,esk1_1(esk2_0))
| big_k(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_12])]) ).
cnf(c_0_23,plain,
~ big_k(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
cnf(c_0_24,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_21])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN069+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/15.38 % Computer : n013.cluster.edu
% 0.11/15.38 % Model : x86_64 x86_64
% 0.11/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.38 % Memory : 8046.5625MB
% 0.11/15.38 % OS : Linux 6.8.0-71-generic
% 0.11/15.38 % CPULimit : 300
% 0.11/15.38 % WCLimit : 300
% 0.11/15.38 % DateTime : Mon Sep 21 10:41:39 UTC 2026
% 0.11/15.39 % CPUTime :
% 0.11/15.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/15.42 Running first-order theorem proving
% 0.15/15.42 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
% 0.15/15.44 % Version: 3.5.1
% 0.15/15.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/15.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/15.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/15.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/15.44 % Starting sh5l with 300s (1) cores
% 0.15/15.44 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 568732 completed with status 0
% 0.15/15.44 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/15.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/15.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/15.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.44 % No SInE strategy applied
% 0.15/15.44 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.15/15.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/15.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/15.44 % Starting new_bool_3 with 136s (1) cores
% 0.15/15.44 % Starting new_bool_1 with 136s (1) cores
% 0.15/15.44 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 568737 completed with status 0
% 0.15/15.44 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/15.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/15.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/15.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.44 % No SInE strategy applied
% 0.15/15.44 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.15/15.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.44 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/15.44 % Preprocessing time : 0.001 s
% 0.15/15.44
% 0.15/15.44 % Proof found!
% 0.15/15.44 % SZS status ContradictoryAxioms
% 0.15/15.44 % SZS output start CNFRefutation
% See solution above
% 0.15/15.44 % Parsed axioms : 4
% 0.15/15.44 % Removed by relevancy pruning/SinE : 0
% 0.15/15.44 % Initial clauses : 15
% 0.15/15.44 % Removed in clause preprocessing : 0
% 0.15/15.44 % Initial clauses in saturation : 15
% 0.15/15.44 % Processed clauses : 32
% 0.15/15.44 % ...of these trivial : 0
% 0.15/15.44 % ...subsumed : 0
% 0.15/15.44 % ...remaining for further processing : 31
% 0.15/15.44 % Other redundant clauses eliminated : 0
% 0.15/15.44 % Clauses deleted for lack of memory : 0
% 0.15/15.44 % Backward-subsumed : 9
% 0.15/15.44 % Backward-rewritten : 13
% 0.15/15.44 % Generated clauses : 27
% 0.15/15.44 % ...of the previous two non-redundant : 35
% 0.15/15.44 % ...aggressively subsumed : 0
% 0.15/15.44 % Contextual simplify-reflections : 0
% 0.15/15.44 % Paramodulations : 21
% 0.15/15.44 % Factorizations : 6
% 0.15/15.44 % NegExts : 0
% 0.15/15.44 % Equation resolutions : 0
% 0.15/15.44 % Disequality decompositions : 0
% 0.15/15.44 % Total rewrite steps : 25
% 0.15/15.44 % ...of those cached : 17
% 0.15/15.44 % Propositional unsat checks : 0
% 0.15/15.44 % Propositional check models : 0
% 0.15/15.44 % Propositional check unsatisfiable : 0
% 0.15/15.44 % Propositional clauses : 0
% 0.15/15.44 % Propositional clauses after purity: 0
% 0.15/15.44 % Propositional unsat core size : 0
% 0.15/15.44 % Propositional preprocessing time : 0.000
% 0.15/15.44 % Propositional encoding time : 0.000
% 0.15/15.44 % Propositional solver time : 0.000
% 0.15/15.44 % Success case prop preproc time : 0.000
% 0.15/15.44 % Success case prop encoding time : 0.000
% 0.15/15.44 % Success case prop solver time : 0.000
% 0.15/15.44 % Current number of processed clauses : 9
% 0.15/15.44 % Positive orientable unit clauses : 4
% 0.15/15.44 % Positive unorientable unit clauses: 0
% 0.15/15.44 % Negative unit clauses : 1
% 0.15/15.44 % Non-unit-clauses : 4
% 0.15/15.44 % Current number of unprocessed clauses: 3
% 0.15/15.44 % ...number of literals in the above : 5
% 0.15/15.44 % Current number of archived formulas : 0
% 0.15/15.44 % Current number of archived clauses : 22
% 0.15/15.44 % Clause-clause subsumption calls (NU) : 68
% 0.15/15.44 % Rec. Clause-clause subsumption calls : 60
% 0.15/15.44 % Non-unit clause-clause subsumptions : 6
% 0.15/15.44 % Unit Clause-clause subsumption calls : 11
% 0.15/15.44 % Rewrite failures with RHS unbound : 0
% 0.15/15.44 % BW rewrite match attempts : 7
% 0.15/15.44 % BW rewrite match successes : 7
% 0.15/15.44 % Condensation attempts : 0
% 0.15/15.44 % Condensation successes : 0
% 0.15/15.44 % Termbank termtop insertions : 1145
% 0.15/15.44 % Search garbage collected termcells : 185
% 0.15/15.44
% 0.15/15.44 % -------------------------------------------------
% 0.15/15.44 % User time : 0.003 s
% 0.15/15.44 % System time : 0.003 s
% 0.15/15.44 % Total time : 0.006 s
% 0.15/15.44 % Maximum resident set size: 3632 pages
% 0.15/15.44
% 0.15/15.44 % -------------------------------------------------
% 0.15/15.44 % User time : 0.014 s
% 0.15/15.44 % System time : 0.010 s
% 0.15/15.44 % Total time : 0.024 s
% 0.15/15.44 % Maximum resident set size: 4864 pages
% 0.15/15.44 % E exiting
%------------------------------------------------------------------------------