%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN069+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 03:32:25 PM UTC 2026
% Result : Theorem 0.15s 0.64s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 109 ( 40 ~; 42 |; 23 &)
% ( 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 : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 39 ( 10 sgn 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel45_2,axiom,
~ ? [X2] :
( big_k(X2)
& big_l(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel45_2) ).
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/sandbox/benchmark/theBenchmark.p',pel45_3) ).
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/sandbox/benchmark/theBenchmark.p',pel45_1) ).
fof(pel45,conjecture,
? [X1] :
( ~ ? [X2] :
( big_h(X1,X2)
& big_g(X2) )
& big_f(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel45) ).
fof(c_0_4,plain,
! [X14] :
( ~ big_k(X14)
| ~ big_l(X14) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel45_2])])]) ).
fof(c_0_5,plain,
! [X12,X13] :
( ( big_j(esk3_0,X13)
| ~ big_h(esk3_0,X13)
| ~ big_g(X13) )
& ( big_l(X12)
| ~ big_h(esk3_0,X12) )
& big_f(esk3_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])])])])]) ).
fof(c_0_6,plain,
! [X6,X8,X9,X10] :
( ( ~ big_f(X6)
| ~ big_j(X6,esk2_1(X6))
| big_k(X10) )
& ( ~ big_f(X6)
| ~ big_j(X6,esk2_1(X6))
| big_h(X6,X9) )
& ( ~ big_f(X6)
| ~ big_j(X6,esk2_1(X6))
| big_g(X8) )
& ( ~ big_f(X6)
| big_h(X6,esk2_1(X6))
| big_k(X10) )
& ( ~ big_f(X6)
| big_h(X6,esk2_1(X6))
| big_h(X6,X9) )
& ( ~ big_f(X6)
| big_h(X6,esk2_1(X6))
| big_g(X8) )
& ( ~ big_f(X6)
| big_g(esk2_1(X6))
| big_k(X10) )
& ( ~ big_f(X6)
| big_g(esk2_1(X6))
| big_h(X6,X9) )
& ( ~ big_f(X6)
| big_g(esk2_1(X6))
| big_g(X8) ) ),
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])])])])])])]) ).
cnf(c_0_7,plain,
( ~ big_k(X1)
| ~ big_l(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( ~ big_h(esk3_0,X1)
| big_l(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ big_f(X2)
| big_h(X2,esk2_1(X2))
| big_k(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
big_f(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_11,negated_conjecture,
~ ? [X1] :
( ~ ? [X2] :
( big_h(X1,X2)
& big_g(X2) )
& big_f(X1) ),
inference(assume_negation,[status(cth)],[pel45]) ).
cnf(c_0_12,plain,
( ~ big_h(esk3_0,X1)
| ~ big_k(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,plain,
( big_h(esk3_0,esk2_1(esk3_0))
| big_k(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_14,negated_conjecture,
! [X4] :
( ( ~ big_f(X4)
| big_h(X4,esk1_1(X4)) )
& ( ~ big_f(X4)
| big_g(esk1_1(X4)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
cnf(c_0_15,plain,
( ~ big_f(X2)
| big_g(esk2_1(X2))
| big_g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,plain,
( ~ big_h(esk3_0,X1)
| big_h(esk3_0,esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( ~ big_f(X1)
| big_h(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( big_g(X1)
| big_g(esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_19,plain,
( ~ big_f(X2)
| ~ big_j(X2,esk2_1(X2))
| big_g(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
( ~ big_h(esk3_0,X1)
| ~ big_g(X1)
| big_j(esk3_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
big_h(esk3_0,esk2_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_10])]) ).
cnf(c_0_22,plain,
big_g(esk2_1(esk3_0)),
inference(ef,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
big_g(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_10]),c_0_21]),c_0_22])]) ).
cnf(c_0_24,plain,
( ~ big_f(X2)
| ~ big_j(X2,esk2_1(X2))
| big_k(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,plain,
( ~ big_h(esk3_0,X1)
| big_j(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_23])]) ).
cnf(c_0_26,plain,
big_k(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_10]),c_0_21])]) ).
cnf(c_0_27,plain,
~ big_h(esk3_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_26])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_21,c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN069+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.58 % Computer : n011.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Mon Sep 21 10:41:57 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 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
% 0.15/0.64 % Version: 3.5.1
% 0.15/0.64 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.64 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.64 % Starting sh5l with 300s (1) cores
% 0.15/0.64 % new_bool_3 with pid 1690464 completed with status 0
% 0.15/0.64 % Result found by new_bool_3
% 0.15/0.64 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.64 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.64 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.15/0.64 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.64 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.64 % SubtermCWHack with pid 1690467 completed with status 0
% 0.15/0.64 % Result found by SubtermCWHack
% 0.15/0.64 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.64 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.64 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.64 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.64 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.15/0.64 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.64 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.64 % Preprocessing time : 0.001 s
% 0.15/0.64
% 0.15/0.64 % Proof found!
% 0.15/0.64 % SZS status Theorem
% 0.15/0.64 % SZS output start CNFRefutation
% See solution above
% 0.15/0.64 % Parsed axioms : 4
% 0.15/0.64 % Removed by relevancy pruning/SinE : 0
% 0.15/0.64 % Initial clauses : 15
% 0.15/0.64 % Removed in clause preprocessing : 0
% 0.15/0.64 % Initial clauses in saturation : 15
% 0.15/0.64 % Processed clauses : 26
% 0.15/0.64 % ...of these trivial : 0
% 0.15/0.64 % ...subsumed : 0
% 0.15/0.64 % ...remaining for further processing : 26
% 0.15/0.64 % Other redundant clauses eliminated : 0
% 0.15/0.64 % Clauses deleted for lack of memory : 0
% 0.15/0.64 % Backward-subsumed : 5
% 0.15/0.64 % Backward-rewritten : 13
% 0.15/0.64 % Generated clauses : 18
% 0.15/0.64 % ...of the previous two non-redundant : 16
% 0.15/0.64 % ...aggressively subsumed : 0
% 0.15/0.64 % Contextual simplify-reflections : 0
% 0.15/0.64 % Paramodulations : 15
% 0.15/0.64 % Factorizations : 2
% 0.15/0.64 % NegExts : 0
% 0.15/0.64 % Equation resolutions : 0
% 0.15/0.64 % Disequality decompositions : 0
% 0.15/0.64 % Total rewrite steps : 23
% 0.15/0.64 % ...of those cached : 13
% 0.15/0.64 % Propositional unsat checks : 0
% 0.15/0.64 % Propositional check models : 0
% 0.15/0.64 % Propositional check unsatisfiable : 0
% 0.15/0.64 % Propositional clauses : 0
% 0.15/0.64 % Propositional clauses after purity: 0
% 0.15/0.64 % Propositional unsat core size : 0
% 0.15/0.64 % Propositional preprocessing time : 0.000
% 0.15/0.64 % Propositional encoding time : 0.000
% 0.15/0.64 % Propositional solver time : 0.000
% 0.15/0.64 % Success case prop preproc time : 0.000
% 0.15/0.64 % Success case prop encoding time : 0.000
% 0.15/0.64 % Success case prop solver time : 0.000
% 0.15/0.64 % Current number of processed clauses : 7
% 0.15/0.64 % Positive orientable unit clauses : 3
% 0.15/0.64 % Positive unorientable unit clauses: 0
% 0.15/0.64 % Negative unit clauses : 2
% 0.15/0.64 % Non-unit-clauses : 2
% 0.15/0.64 % Current number of unprocessed clauses: 2
% 0.15/0.64 % ...number of literals in the above : 4
% 0.15/0.64 % Current number of archived formulas : 0
% 0.15/0.64 % Current number of archived clauses : 19
% 0.15/0.64 % Clause-clause subsumption calls (NU) : 37
% 0.15/0.64 % Rec. Clause-clause subsumption calls : 33
% 0.15/0.64 % Non-unit clause-clause subsumptions : 0
% 0.15/0.64 % Unit Clause-clause subsumption calls : 9
% 0.15/0.64 % Rewrite failures with RHS unbound : 0
% 0.15/0.64 % BW rewrite match attempts : 9
% 0.15/0.64 % BW rewrite match successes : 9
% 0.15/0.64 % Condensation attempts : 0
% 0.15/0.64 % Condensation successes : 0
% 0.15/0.64 % Termbank termtop insertions : 985
% 0.15/0.64 % Search garbage collected termcells : 185
% 0.15/0.64
% 0.15/0.64 % -------------------------------------------------
% 0.15/0.64 % User time : 0.005 s
% 0.15/0.64 % System time : 0.001 s
% 0.15/0.64 % Total time : 0.006 s
% 0.15/0.64 % Maximum resident set size: 3632 pages
% 0.15/0.64
% 0.15/0.64 % -------------------------------------------------
% 0.15/0.64 % User time : 0.009 s
% 0.15/0.65 % System time : 0.003 s
% 0.15/0.65 % Total time : 0.012 s
% 0.15/0.65 % Maximum resident set size: 4608 pages
% 0.15/0.65 % E exiting
%------------------------------------------------------------------------------