%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN951+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 03:41:35 PM UTC 2026
% Result : Theorem 0.17s 0.57s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 37 ( 13 ~; 8 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 ( 3 sgn 1 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ? [X1] : p(X1)
=> ( ( a
=> ( ( q
=> q )
& ( ~ b
| b ) ) )
& ? [X1] : p(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(c_0_1,negated_conjecture,
~ ( ? [X1] : p(X1)
=> ( ( a
=> ( ( q
=> q )
& ( ~ b
| b ) ) )
& ? [X1] : p(X1) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(c_0_2,negated_conjecture,
~ ( ? [X1] : p(X1)
=> ( ( a
=> ( ~ b
| b ) )
& ? [X1] : p(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X3] :
( ( ~ p(X3)
| b )
& ( ~ p(X3)
| ~ b )
& ( ~ p(X3)
| a )
& p(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
cnf(c_0_4,negated_conjecture,
( ~ p(X1)
| b ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
p(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( ~ p(X1)
| ~ b ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
b,
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
~ p(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_5,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN951+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.51 % Computer : n007.cluster.edu
% 0.10/0.51 % Model : x86_64 x86_64
% 0.10/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.51 % Memory : 8046.5625MB
% 0.10/0.51 % OS : Linux 6.8.0-71-generic
% 0.10/0.51 % CPULimit : 300
% 0.10/0.51 % WCLimit : 300
% 0.10/0.51 % DateTime : Mon Sep 21 11:28:51 UTC 2026
% 0.10/0.51 % CPUTime :
% 0.10/0.51 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.56 Running first-order theorem proving
% 0.10/0.56 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
% 0.17/0.57 % Version: 3.5.1
% 0.17/0.57 % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.17/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.57 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.17/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.57 % Starting sh5l with 300s (1) cores
% 0.17/0.57 % new_bool_1 with pid 968868 completed with status 0
% 0.17/0.57 % Result found by new_bool_1
% 0.17/0.57 % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.17/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.57 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.17/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/0.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.57 % Search class: FHHNF-FFSF00-SFFFFFNN
% 0.17/0.57 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.57 % Starting SubtermCWHack with 31s (1) cores
% 0.17/0.57 % SubtermCWHack with pid 968870 completed with status 0
% 0.17/0.57 % Result found by SubtermCWHack
% 0.17/0.57 % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.17/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.57 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.17/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/0.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.57 % Search class: FHHNF-FFSF00-SFFFFFNN
% 0.17/0.57 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.57 % Starting SubtermCWHack with 31s (1) cores
% 0.17/0.57 % Preprocessing time : 0.001 s
% 0.17/0.57
% 0.17/0.57 % Proof found!
% 0.17/0.57 % SZS status Theorem
% 0.17/0.57 % SZS output start CNFRefutation
% See solution above
% 0.17/0.57 % Parsed axioms : 1
% 0.17/0.57 % Removed by relevancy pruning/SinE : 0
% 0.17/0.57 % Initial clauses : 4
% 0.17/0.57 % Removed in clause preprocessing : 0
% 0.17/0.57 % Initial clauses in saturation : 4
% 0.17/0.57 % Processed clauses : 6
% 0.17/0.57 % ...of these trivial : 0
% 0.17/0.57 % ...subsumed : 0
% 0.17/0.57 % ...remaining for further processing : 6
% 0.17/0.57 % Other redundant clauses eliminated : 0
% 0.17/0.57 % Clauses deleted for lack of memory : 0
% 0.17/0.57 % Backward-subsumed : 0
% 0.17/0.57 % Backward-rewritten : 2
% 0.17/0.57 % Generated clauses : 3
% 0.17/0.57 % ...of the previous two non-redundant : 2
% 0.17/0.57 % ...aggressively subsumed : 0
% 0.17/0.57 % Contextual simplify-reflections : 0
% 0.17/0.57 % Paramodulations : 2
% 0.17/0.57 % Factorizations : 0
% 0.17/0.57 % NegExts : 0
% 0.17/0.57 % Equation resolutions : 0
% 0.17/0.57 % Disequality decompositions : 0
% 0.17/0.57 % Total rewrite steps : 3
% 0.17/0.57 % ...of those cached : 1
% 0.17/0.57 % Propositional unsat checks : 0
% 0.17/0.57 % Propositional check models : 0
% 0.17/0.57 % Propositional check unsatisfiable : 0
% 0.17/0.57 % Propositional clauses : 0
% 0.17/0.57 % Propositional clauses after purity: 0
% 0.17/0.57 % Propositional unsat core size : 0
% 0.17/0.57 % Propositional preprocessing time : 0.000
% 0.17/0.57 % Propositional encoding time : 0.000
% 0.17/0.57 % Propositional solver time : 0.000
% 0.17/0.57 % Success case prop preproc time : 0.000
% 0.17/0.57 % Success case prop encoding time : 0.000
% 0.17/0.57 % Success case prop solver time : 0.000
% 0.17/0.57 % Current number of processed clauses : 3
% 0.17/0.57 % Positive orientable unit clauses : 2
% 0.17/0.57 % Positive unorientable unit clauses: 0
% 0.17/0.57 % Negative unit clauses : 1
% 0.17/0.57 % Non-unit-clauses : 0
% 0.17/0.57 % Current number of unprocessed clauses: 0
% 0.17/0.57 % ...number of literals in the above : 0
% 0.17/0.57 % Current number of archived formulas : 0
% 0.17/0.57 % Current number of archived clauses : 3
% 0.17/0.57 % Clause-clause subsumption calls (NU) : 0
% 0.17/0.57 % Rec. Clause-clause subsumption calls : 0
% 0.17/0.58 % Non-unit clause-clause subsumptions : 0
% 0.17/0.58 % Unit Clause-clause subsumption calls : 0
% 0.17/0.58 % Rewrite failures with RHS unbound : 0
% 0.17/0.58 % BW rewrite match attempts : 2
% 0.17/0.58 % BW rewrite match successes : 2
% 0.17/0.58 % Condensation attempts : 0
% 0.17/0.58 % Condensation successes : 0
% 0.17/0.58 % Termbank termtop insertions : 208
% 0.17/0.58 % Search garbage collected termcells : 50
% 0.17/0.58
% 0.17/0.58 % -------------------------------------------------
% 0.17/0.58 % User time : 0.002 s
% 0.17/0.58 % System time : 0.002 s
% 0.17/0.58 % Total time : 0.003 s
% 0.17/0.58 % Maximum resident set size: 3624 pages
% 0.17/0.58
% 0.17/0.58 % -------------------------------------------------
% 0.17/0.58 % User time : 0.004 s
% 0.17/0.58 % System time : 0.005 s
% 0.17/0.58 % Total time : 0.009 s
% 0.17/0.58 % Maximum resident set size: 4608 pages
% 0.17/0.58 % E exiting
%------------------------------------------------------------------------------