%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 03:25:40 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.50s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 12 unt; 4 nHn; 15 RR)
% Number of literals : 42 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_16,negated_conjecture,
( ~ p11(X3,X2)
| ~ p11(X1,X3)
| p11(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_16) ).
cnf(p2_26,negated_conjecture,
( ~ p11(X2,X3)
| p11(f9(X1,X2),f9(X1,X3))
| p2(X1,f3(c13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
cnf(not_p2_6,negated_conjecture,
~ p2(c12,f3(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_6) ).
cnf(not_p11_12,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).
cnf(p11_7,negated_conjecture,
p11(c18,f9(c12,c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).
cnf(p11_13,negated_conjecture,
( ~ p11(X1,X3)
| p11(X1,f8(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_13) ).
cnf(p11_2,negated_conjecture,
p11(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_2) ).
cnf(c_0_7,negated_conjecture,
( ~ p11(X3,X2)
| ~ p11(X1,X3)
| p11(X1,X2) ),
inference(fof_simplification,[status(thm)],[p11_16]) ).
cnf(c_0_8,negated_conjecture,
( ~ p11(X2,X3)
| p11(f9(X1,X2),f9(X1,X3))
| p2(X1,f3(c13)) ),
inference(fof_simplification,[status(thm)],[p2_26]) ).
cnf(c_0_9,negated_conjecture,
( ~ p11(X3,X2)
| ~ p11(X1,X3)
| p11(X1,X2) ),
c_0_7 ).
cnf(c_0_10,negated_conjecture,
( ~ p11(X2,X3)
| p11(f9(X1,X2),f9(X1,X3))
| p2(X1,f3(c13)) ),
c_0_8 ).
cnf(c_0_11,negated_conjecture,
~ p2(c12,f3(c13)),
inference(fof_simplification,[status(thm)],[not_p2_6]) ).
cnf(c_0_12,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))),
inference(fof_simplification,[status(thm)],[not_p11_12]) ).
cnf(c_0_13,negated_conjecture,
( ~ p11(X4,X3)
| ~ p11(X1,f9(X2,X4))
| p2(X2,f3(c13))
| p11(X1,f9(X2,X3)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
p11(c18,f9(c12,c14)),
p11_7 ).
cnf(c_0_15,negated_conjecture,
~ p2(c12,f3(c13)),
c_0_11 ).
cnf(c_0_16,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
( ~ p11(c14,X1)
| p11(c18,f9(c12,X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( ~ p11(X1,X3)
| p11(X1,f8(X2,X3)) ),
inference(fof_simplification,[status(thm)],[p11_13]) ).
cnf(c_0_19,negated_conjecture,
~ p11(c14,f8(c16,c14)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( ~ p11(X1,X3)
| p11(X1,f8(X2,X3)) ),
c_0_18 ).
cnf(c_0_21,negated_conjecture,
p11(X1,X1),
p11_2 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 11:10:18 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.18/0.50 % Version: 3.5.1
% 0.18/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.50 % Starting sh5l with 300s (1) cores
% 0.18/0.50 % new_bool_3 with pid 2777436 completed with status 0
% 0.18/0.50 % Result found by new_bool_3
% 0.18/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.50 % Search class: FGUNS-FFMM21-SFFFFFNN
% 0.18/0.50 % partial match(1): FGUNF-FFMM21-SFFFFFNN
% 0.18/0.50 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.50 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.50 % SubtermCWHack with pid 2777442 completed with status 0
% 0.18/0.50 % Result found by SubtermCWHack
% 0.18/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.50 % Search class: FGUNS-FFMM21-SFFFFFNN
% 0.18/0.50 % partial match(1): FGUNF-FFMM21-SFFFFFNN
% 0.18/0.50 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.50 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.50 % Preprocessing time : 0.001 s
% 0.18/0.50
% 0.18/0.50 % Proof found!
% 0.18/0.50 % SZS status Unsatisfiable
% 0.18/0.50 % SZS output start CNFRefutation
% See solution above
% 0.18/0.50 % Parsed axioms : 26
% 0.18/0.50 % Removed by relevancy pruning/SinE : 0
% 0.18/0.50 % Initial clauses : 26
% 0.18/0.50 % Removed in clause preprocessing : 0
% 0.18/0.50 % Initial clauses in saturation : 26
% 0.18/0.50 % Processed clauses : 762
% 0.18/0.50 % ...of these trivial : 3
% 0.18/0.50 % ...subsumed : 420
% 0.18/0.50 % ...remaining for further processing : 339
% 0.18/0.50 % Other redundant clauses eliminated : 0
% 0.18/0.50 % Clauses deleted for lack of memory : 0
% 0.18/0.50 % Backward-subsumed : 24
% 0.18/0.50 % Backward-rewritten : 0
% 0.18/0.50 % Generated clauses : 3034
% 0.18/0.50 % ...of the previous two non-redundant : 2661
% 0.18/0.50 % ...aggressively subsumed : 0
% 0.18/0.50 % Contextual simplify-reflections : 0
% 0.18/0.50 % Paramodulations : 3034
% 0.18/0.50 % Factorizations : 0
% 0.18/0.50 % NegExts : 0
% 0.18/0.50 % Equation resolutions : 0
% 0.18/0.50 % Disequality decompositions : 0
% 0.18/0.50 % Total rewrite steps : 724
% 0.18/0.50 % ...of those cached : 681
% 0.18/0.50 % Propositional unsat checks : 0
% 0.18/0.50 % Propositional check models : 0
% 0.18/0.50 % Propositional check unsatisfiable : 0
% 0.18/0.50 % Propositional clauses : 0
% 0.18/0.50 % Propositional clauses after purity: 0
% 0.18/0.50 % Propositional unsat core size : 0
% 0.18/0.50 % Propositional preprocessing time : 0.000
% 0.18/0.50 % Propositional encoding time : 0.000
% 0.18/0.50 % Propositional solver time : 0.000
% 0.18/0.50 % Success case prop preproc time : 0.000
% 0.18/0.50 % Success case prop encoding time : 0.000
% 0.18/0.50 % Success case prop solver time : 0.000
% 0.18/0.50 % Current number of processed clauses : 315
% 0.18/0.50 % Positive orientable unit clauses : 34
% 0.18/0.50 % Positive unorientable unit clauses: 0
% 0.18/0.50 % Negative unit clauses : 5
% 0.18/0.50 % Non-unit-clauses : 276
% 0.18/0.50 % Current number of unprocessed clauses: 1896
% 0.18/0.50 % ...number of literals in the above : 6093
% 0.18/0.50 % Current number of archived formulas : 0
% 0.18/0.50 % Current number of archived clauses : 24
% 0.18/0.50 % Clause-clause subsumption calls (NU) : 16974
% 0.18/0.50 % Rec. Clause-clause subsumption calls : 13390
% 0.18/0.50 % Non-unit clause-clause subsumptions : 444
% 0.18/0.50 % Unit Clause-clause subsumption calls : 122
% 0.18/0.50 % Rewrite failures with RHS unbound : 0
% 0.18/0.50 % BW rewrite match attempts : 6
% 0.18/0.50 % BW rewrite match successes : 0
% 0.18/0.50 % Condensation attempts : 0
% 0.18/0.50 % Condensation successes : 0
% 0.18/0.50 % Termbank termtop insertions : 37929
% 0.18/0.50 % Search garbage collected termcells : 56
% 0.18/0.50
% 0.18/0.50 % -------------------------------------------------
% 0.18/0.50 % User time : 0.054 s
% 0.18/0.50 % System time : 0.005 s
% 0.18/0.50 % Total time : 0.059 s
% 0.18/0.50 % Maximum resident set size: 3652 pages
% 0.18/0.50
% 0.18/0.50 % -------------------------------------------------
% 0.18/0.50 % User time : 0.055 s
% 0.18/0.50 % System time : 0.011 s
% 0.18/0.50 % Total time : 0.066 s
% 0.18/0.50 % Maximum resident set size: 4864 pages
% 0.18/0.50 % E exiting
%------------------------------------------------------------------------------