%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN593-1 : 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 : n005.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 03:25:41 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.54s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 17 unt; 4 nHn; 21 RR)
% Number of literals : 38 ( 0 equ; 19 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_27,negated_conjecture,
( ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X2),X3)
| ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X1),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X1)),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X2)),X3)
| p12(f13(X3),f13(c18))
| p3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_27) ).
cnf(not_p15_24,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_24) ).
cnf(not_p12_6,negated_conjecture,
~ p12(f13(c20),f13(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_6) ).
cnf(not_p15_23,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_23) ).
cnf(p15_18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_18) ).
cnf(not_p3_5,negated_conjecture,
~ p3(c21,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_5) ).
cnf(p15_19,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_19) ).
cnf(c_0_7,negated_conjecture,
( ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X2),X3)
| ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X1),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X1)),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X2)),X3)
| p12(f13(X3),f13(c18))
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_27]) ).
cnf(c_0_8,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(fof_simplification,[status(thm)],[not_p15_24]) ).
cnf(c_0_9,negated_conjecture,
~ p12(f13(c20),f13(c18)),
inference(fof_simplification,[status(thm)],[not_p12_6]) ).
cnf(c_0_10,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
inference(fof_simplification,[status(thm)],[not_p15_23]) ).
cnf(c_0_11,negated_conjecture,
( ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X2),X3)
| ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X1),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X1)),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X2)),X3)
| p12(f13(X3),f13(c18))
| p3(X1,X2) ),
c_0_7 ).
cnf(c_0_12,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
p15_18 ).
cnf(c_0_13,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
c_0_8 ).
cnf(c_0_14,negated_conjecture,
~ p12(f13(c20),f13(c18)),
c_0_9 ).
cnf(c_0_15,negated_conjecture,
~ p3(c21,c19),
inference(fof_simplification,[status(thm)],[not_p3_5]) ).
cnf(c_0_16,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
c_0_10 ).
cnf(c_0_17,negated_conjecture,
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X1),c20)
| p3(X1,c19)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X1)),c20) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
p15_19 ).
cnf(c_0_19,negated_conjecture,
~ p3(c21,c19),
c_0_15 ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN593-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n005.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 11:09:33 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.50 Running first-order theorem proving
% 0.25/0.50 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
% 0.25/0.54 % Version: 3.5.1
% 0.25/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.54 % Starting sh5l with 300s (1) cores
% 0.25/0.54 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3318052 completed with status 0
% 0.25/0.54 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.25/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.54 % No SInE strategy applied
% 0.25/0.54 % Search class: FGUNM-FFMF21-DFFFFFNN
% 0.25/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.25/0.54 % Starting new_bool_3 with 136s (1) cores
% 0.25/0.54 % Starting new_bool_1 with 136s (1) cores
% 0.25/0.54 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 3318059 completed with status 0
% 0.25/0.54 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.25/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.54 % No SInE strategy applied
% 0.25/0.54 % Search class: FGUNM-FFMF21-DFFFFFNN
% 0.25/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.25/0.54 % Preprocessing time : 0.002 s
% 0.25/0.54 % Presaturation interreduction done
% 0.25/0.54
% 0.25/0.54 % Proof found!
% 0.25/0.54 % SZS status Unsatisfiable
% 0.25/0.54 % SZS output start CNFRefutation
% See solution above
% 0.25/0.54 % Parsed axioms : 27
% 0.25/0.54 % Removed by relevancy pruning/SinE : 0
% 0.25/0.54 % Initial clauses : 27
% 0.25/0.54 % Removed in clause preprocessing : 0
% 0.25/0.54 % Initial clauses in saturation : 27
% 0.25/0.54 % Processed clauses : 65
% 0.25/0.54 % ...of these trivial : 0
% 0.25/0.54 % ...subsumed : 0
% 0.25/0.54 % ...remaining for further processing : 65
% 0.25/0.54 % Other redundant clauses eliminated : 0
% 0.25/0.54 % Clauses deleted for lack of memory : 0
% 0.25/0.54 % Backward-subsumed : 0
% 0.25/0.54 % Backward-rewritten : 0
% 0.25/0.54 % Generated clauses : 46
% 0.25/0.54 % ...of the previous two non-redundant : 40
% 0.25/0.54 % ...aggressively subsumed : 0
% 0.25/0.54 % Contextual simplify-reflections : 0
% 0.25/0.54 % Paramodulations : 46
% 0.25/0.54 % Factorizations : 0
% 0.25/0.54 % NegExts : 0
% 0.25/0.54 % Equation resolutions : 0
% 0.25/0.54 % Disequality decompositions : 0
% 0.25/0.54 % Total rewrite steps : 5
% 0.25/0.54 % ...of those cached : 0
% 0.25/0.54 % Propositional unsat checks : 0
% 0.25/0.54 % Propositional check models : 0
% 0.25/0.54 % Propositional check unsatisfiable : 0
% 0.25/0.54 % Propositional clauses : 0
% 0.25/0.54 % Propositional clauses after purity: 0
% 0.25/0.54 % Propositional unsat core size : 0
% 0.25/0.54 % Propositional preprocessing time : 0.000
% 0.25/0.54 % Propositional encoding time : 0.000
% 0.25/0.54 % Propositional solver time : 0.000
% 0.25/0.54 % Success case prop preproc time : 0.000
% 0.25/0.54 % Success case prop encoding time : 0.000
% 0.25/0.54 % Success case prop solver time : 0.000
% 0.25/0.54 % Current number of processed clauses : 38
% 0.25/0.54 % Positive orientable unit clauses : 6
% 0.25/0.54 % Positive unorientable unit clauses: 0
% 0.25/0.54 % Negative unit clauses : 6
% 0.25/0.54 % Non-unit-clauses : 26
% 0.25/0.54 % Current number of unprocessed clauses: 27
% 0.25/0.54 % ...number of literals in the above : 84
% 0.25/0.54 % Current number of archived formulas : 0
% 0.25/0.54 % Current number of archived clauses : 27
% 0.25/0.54 % Clause-clause subsumption calls (NU) : 119
% 0.25/0.54 % Rec. Clause-clause subsumption calls : 48
% 0.25/0.54 % Non-unit clause-clause subsumptions : 0
% 0.25/0.54 % Unit Clause-clause subsumption calls : 12
% 0.25/0.54 % Rewrite failures with RHS unbound : 0
% 0.25/0.54 % BW rewrite match attempts : 3
% 0.25/0.54 % BW rewrite match successes : 0
% 0.25/0.54 % Condensation attempts : 0
% 0.25/0.54 % Condensation successes : 0
% 0.25/0.54 % Termbank termtop insertions : 1994
% 0.25/0.54 % Search garbage collected termcells : 73
% 0.25/0.54
% 0.25/0.54 % -------------------------------------------------
% 0.25/0.54 % User time : 0.009 s
% 0.25/0.54 % System time : 0.006 s
% 0.25/0.54 % Total time : 0.014 s
% 0.25/0.54 % Maximum resident set size: 3664 pages
% 0.25/0.54
% 0.25/0.54 % -------------------------------------------------
% 0.25/0.54 % User time : 0.045 s
% 0.25/0.54 % System time : 0.018 s
% 0.25/0.54 % Total time : 0.063 s
% 0.25/0.54 % Maximum resident set size: 4608 pages
% 0.25/0.54 % E exiting
%------------------------------------------------------------------------------