%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN568-1 : 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 : 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 03:35:16 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 11 unt; 8 nHn; 13 RR)
% Number of literals : 43 ( 0 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_20,negated_conjecture,
( ~ p11(f5(f6(c12)),X2)
| ~ p10(X2,X3)
| p10(f4(X2,X1),f4(X3,X1))
| p3(X1,f6(c12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
cnf(p10_5,negated_conjecture,
( p11(X2,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_5) ).
cnf(not_p10_6,negated_conjecture,
( ~ p11(X2,X1)
| ~ p10(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_6) ).
cnf(p11_4,negated_conjecture,
p11(f5(f6(c12)),f9(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_4) ).
cnf(not_p11_3,negated_conjecture,
~ p11(f9(c13),f9(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_3) ).
cnf(not_p3_7,negated_conjecture,
~ p3(f6(f7(f8(c12))),f6(c12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_7) ).
cnf(p11_18,negated_conjecture,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_18) ).
cnf(c_0_7,negated_conjecture,
( ~ p11(f5(f6(c12)),X2)
| ~ p10(X2,X3)
| p10(f4(X2,X1),f4(X3,X1))
| p3(X1,f6(c12)) ),
inference(fof_simplification,[status(thm)],[p3_20]) ).
cnf(c_0_8,negated_conjecture,
( ~ p11(f5(f6(c12)),X2)
| ~ p10(X2,X3)
| p10(f4(X2,X1),f4(X3,X1))
| p3(X1,f6(c12)) ),
c_0_7 ).
cnf(c_0_9,negated_conjecture,
( p11(X2,X1)
| p10(X1,X2) ),
p10_5 ).
cnf(c_0_10,negated_conjecture,
( ~ p11(X2,X1)
| ~ p10(X1,X2) ),
inference(fof_simplification,[status(thm)],[not_p10_6]) ).
cnf(c_0_11,negated_conjecture,
( ~ p11(f5(f6(c12)),X1)
| p3(X2,f6(c12))
| p11(X3,X1)
| p10(f4(X1,X2),f4(X3,X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
p11(f5(f6(c12)),f9(X1)),
p11_4 ).
cnf(c_0_13,negated_conjecture,
( ~ p11(X2,X1)
| ~ p10(X1,X2) ),
c_0_10 ).
cnf(c_0_14,negated_conjecture,
( p3(X2,f6(c12))
| p11(X3,f9(X1))
| p10(f4(f9(X1),X2),f4(X3,X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ p11(f9(c13),f9(c14)),
inference(fof_simplification,[status(thm)],[not_p11_3]) ).
cnf(c_0_16,negated_conjecture,
~ p3(f6(f7(f8(c12))),f6(c12)),
inference(fof_simplification,[status(thm)],[not_p3_7]) ).
cnf(c_0_17,negated_conjecture,
( ~ p11(f4(X1,X3),f4(f9(X2),X3))
| p3(X3,f6(c12))
| p11(X1,f9(X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
p11_18 ).
cnf(c_0_19,negated_conjecture,
~ p11(f9(c13),f9(c14)),
c_0_15 ).
cnf(c_0_20,negated_conjecture,
~ p3(f6(f7(f8(c12))),f6(c12)),
c_0_16 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN568-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 11:08:56 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 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
% 0.15/0.45 % Version: 3.5.1
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 % Starting sh5l with 300s (1) cores
% 0.15/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1744162 completed with status 0
% 0.15/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.45 % No SInE strategy applied
% 0.15/0.45 % Search class: FGHNS-FFSF21-MFFFFFNN
% 0.15/0.45 % partial match(1): FGHNS-FFSF21-SFFFFFNN
% 0.15/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.45 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.15/0.45 % new_bool_3 with pid 1744170 completed with status 0
% 0.15/0.45 % Result found by new_bool_3
% 0.15/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.45 % No SInE strategy applied
% 0.15/0.45 % Search class: FGHNS-FFSF21-MFFFFFNN
% 0.15/0.45 % partial match(1): FGHNS-FFSF21-SFFFFFNN
% 0.15/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.45 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.45 % Preprocessing time : 0.001 s
% 0.15/0.45 % Presaturation interreduction done
% 0.15/0.45
% 0.15/0.45 % Proof found!
% 0.15/0.45 % SZS status Unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation
% See solution above
% 0.15/0.45 % Parsed axioms : 20
% 0.15/0.45 % Removed by relevancy pruning/SinE : 0
% 0.15/0.45 % Initial clauses : 20
% 0.15/0.45 % Removed in clause preprocessing : 0
% 0.15/0.45 % Initial clauses in saturation : 20
% 0.15/0.45 % Processed clauses : 55
% 0.15/0.45 % ...of these trivial : 0
% 0.15/0.45 % ...subsumed : 1
% 0.15/0.45 % ...remaining for further processing : 54
% 0.15/0.45 % Other redundant clauses eliminated : 0
% 0.15/0.45 % Clauses deleted for lack of memory : 0
% 0.15/0.45 % Backward-subsumed : 0
% 0.15/0.45 % Backward-rewritten : 0
% 0.15/0.45 % Generated clauses : 29
% 0.15/0.45 % ...of the previous two non-redundant : 17
% 0.15/0.45 % ...aggressively subsumed : 0
% 0.15/0.45 % Contextual simplify-reflections : 0
% 0.15/0.45 % Paramodulations : 29
% 0.15/0.45 % Factorizations : 0
% 0.15/0.45 % NegExts : 0
% 0.15/0.45 % Equation resolutions : 0
% 0.15/0.45 % Disequality decompositions : 0
% 0.15/0.45 % Total rewrite steps : 10
% 0.15/0.45 % ...of those cached : 0
% 0.15/0.45 % Propositional unsat checks : 0
% 0.15/0.45 % Propositional check models : 0
% 0.15/0.45 % Propositional check unsatisfiable : 0
% 0.15/0.45 % Propositional clauses : 0
% 0.15/0.45 % Propositional clauses after purity: 0
% 0.15/0.45 % Propositional unsat core size : 0
% 0.15/0.45 % Propositional preprocessing time : 0.000
% 0.15/0.45 % Propositional encoding time : 0.000
% 0.15/0.45 % Propositional solver time : 0.000
% 0.15/0.45 % Success case prop preproc time : 0.000
% 0.15/0.45 % Success case prop encoding time : 0.000
% 0.15/0.45 % Success case prop solver time : 0.000
% 0.15/0.45 % Current number of processed clauses : 34
% 0.15/0.45 % Positive orientable unit clauses : 4
% 0.15/0.45 % Positive unorientable unit clauses: 0
% 0.15/0.45 % Negative unit clauses : 2
% 0.15/0.45 % Non-unit-clauses : 28
% 0.15/0.45 % Current number of unprocessed clauses: 2
% 0.15/0.45 % ...number of literals in the above : 10
% 0.15/0.45 % Current number of archived formulas : 0
% 0.15/0.45 % Current number of archived clauses : 20
% 0.15/0.45 % Clause-clause subsumption calls (NU) : 165
% 0.15/0.45 % Rec. Clause-clause subsumption calls : 136
% 0.15/0.45 % Non-unit clause-clause subsumptions : 1
% 0.15/0.45 % Unit Clause-clause subsumption calls : 0
% 0.15/0.45 % Rewrite failures with RHS unbound : 0
% 0.15/0.45 % BW rewrite match attempts : 1
% 0.15/0.45 % BW rewrite match successes : 0
% 0.15/0.45 % Condensation attempts : 0
% 0.15/0.45 % Condensation successes : 0
% 0.15/0.45 % Termbank termtop insertions : 1401
% 0.15/0.45 % Search garbage collected termcells : 56
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.002 s
% 0.15/0.45 % System time : 0.007 s
% 0.15/0.45 % Total time : 0.009 s
% 0.15/0.45 % Maximum resident set size: 3648 pages
% 0.15/0.45
% 0.15/0.45 % -------------------------------------------------
% 0.15/0.45 % User time : 0.027 s
% 0.15/0.45 % System time : 0.011 s
% 0.15/0.45 % Total time : 0.039 s
% 0.15/0.45 % Maximum resident set size: 4608 pages
% 0.15/0.45 % E exiting
%------------------------------------------------------------------------------