%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN624-1 : 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 : n009.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 03:25:45 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 14 unt; 0 nHn; 12 RR)
% Number of literals : 38 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_21,negated_conjecture,
( ~ p10(X3,X2)
| ~ p10(X3,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_21) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
cnf(p10_32,negated_conjecture,
( ~ p5(X1,X3)
| ~ p10(X2,X4)
| p10(f13(X1,X2),f13(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_32) ).
cnf(p10_26,negated_conjecture,
p10(f13(f6(c22),X1),f13(f6(c24),f16(c26,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_26) ).
cnf(p5_2,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_2) ).
cnf(p10_11,negated_conjecture,
p10(f16(X1,f14(f15(f7(c25)))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_11) ).
cnf(not_p10_28,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_28) ).
cnf(c_0_7,negated_conjecture,
( ~ p10(X3,X2)
| ~ p10(X3,X1)
| p10(X1,X2) ),
inference(fof_simplification,[status(thm)],[p10_21]) ).
cnf(c_0_8,negated_conjecture,
( ~ p10(X3,X2)
| ~ p10(X3,X1)
| p10(X1,X2) ),
c_0_7 ).
cnf(c_0_9,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_10,negated_conjecture,
( ~ p5(X1,X3)
| ~ p10(X2,X4)
| p10(f13(X1,X2),f13(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p10_32]) ).
cnf(c_0_11,negated_conjecture,
( ~ p10(X2,X1)
| p10(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
p10(f13(f6(c22),X1),f13(f6(c24),f16(c26,X1))),
p10_26 ).
cnf(c_0_13,negated_conjecture,
( ~ p5(X1,X3)
| ~ p10(X2,X4)
| p10(f13(X1,X2),f13(X3,X4)) ),
c_0_10 ).
cnf(c_0_14,negated_conjecture,
p5(X1,X1),
p5_2 ).
cnf(c_0_15,negated_conjecture,
p10(f13(f6(c24),f16(c26,X1)),f13(f6(c22),X1)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ p10(X2,X3)
| p10(f13(X1,X2),f13(X1,X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p10(f16(X1,f14(f15(f7(c25)))),X1),
p10_11 ).
cnf(c_0_18,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
inference(fof_simplification,[status(thm)],[not_p10_28]) ).
cnf(c_0_19,negated_conjecture,
( ~ p10(f13(f6(c24),f16(c26,X2)),X1)
| p10(X1,f13(f6(c22),X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p10(f13(X1,f16(X2,f14(f15(f7(c25))))),f13(X1,X2)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
c_0_18 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:09:58 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.45 % Version: 3.5.1
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1598496 completed with status 0
% 0.10/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.45 % No SInE strategy applied
% 0.10/0.45 % Search class: FGUNM-FFMF21-MFFFFFNN
% 0.10/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.10/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.10/0.45 % new_bool_3 with pid 1598507 completed with status 0
% 0.10/0.45 % Result found by new_bool_3
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.45 % No SInE strategy applied
% 0.10/0.45 % Search class: FGUNM-FFMF21-MFFFFFNN
% 0.10/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.10/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.10/0.45 % Preprocessing time : 0.002 s
% 0.10/0.45 % Presaturation interreduction done
% 0.10/0.45
% 0.10/0.45 % Proof found!
% 0.10/0.45 % SZS status Unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation
% See solution above
% 0.10/0.45 % Parsed axioms : 35
% 0.10/0.45 % Removed by relevancy pruning/SinE : 0
% 0.10/0.45 % Initial clauses : 35
% 0.10/0.45 % Removed in clause preprocessing : 0
% 0.10/0.45 % Initial clauses in saturation : 35
% 0.10/0.45 % Processed clauses : 338
% 0.10/0.45 % ...of these trivial : 30
% 0.10/0.45 % ...subsumed : 2
% 0.10/0.45 % ...remaining for further processing : 306
% 0.10/0.45 % Other redundant clauses eliminated : 0
% 0.10/0.45 % Clauses deleted for lack of memory : 0
% 0.10/0.45 % Backward-subsumed : 0
% 0.10/0.45 % Backward-rewritten : 0
% 0.10/0.45 % Generated clauses : 1162
% 0.10/0.45 % ...of the previous two non-redundant : 901
% 0.10/0.45 % ...aggressively subsumed : 0
% 0.10/0.45 % Contextual simplify-reflections : 0
% 0.10/0.45 % Paramodulations : 1162
% 0.10/0.45 % Factorizations : 0
% 0.10/0.45 % NegExts : 0
% 0.10/0.45 % Equation resolutions : 0
% 0.10/0.45 % Disequality decompositions : 0
% 0.10/0.45 % Total rewrite steps : 288
% 0.10/0.45 % ...of those cached : 90
% 0.10/0.45 % Propositional unsat checks : 0
% 0.10/0.45 % Propositional check models : 0
% 0.10/0.45 % Propositional check unsatisfiable : 0
% 0.10/0.45 % Propositional clauses : 0
% 0.10/0.45 % Propositional clauses after purity: 0
% 0.10/0.45 % Propositional unsat core size : 0
% 0.10/0.45 % Propositional preprocessing time : 0.000
% 0.10/0.45 % Propositional encoding time : 0.000
% 0.10/0.45 % Propositional solver time : 0.000
% 0.10/0.45 % Success case prop preproc time : 0.000
% 0.10/0.45 % Success case prop encoding time : 0.000
% 0.10/0.45 % Success case prop solver time : 0.000
% 0.10/0.45 % Current number of processed clauses : 271
% 0.10/0.45 % Positive orientable unit clauses : 144
% 0.10/0.45 % Positive unorientable unit clauses: 0
% 0.10/0.45 % Negative unit clauses : 4
% 0.10/0.45 % Non-unit-clauses : 123
% 0.10/0.45 % Current number of unprocessed clauses: 631
% 0.10/0.45 % ...number of literals in the above : 705
% 0.10/0.45 % Current number of archived formulas : 0
% 0.10/0.45 % Current number of archived clauses : 35
% 0.10/0.45 % Clause-clause subsumption calls (NU) : 1808
% 0.10/0.45 % Rec. Clause-clause subsumption calls : 1535
% 0.10/0.45 % Non-unit clause-clause subsumptions : 2
% 0.10/0.45 % Unit Clause-clause subsumption calls : 283
% 0.10/0.45 % Rewrite failures with RHS unbound : 0
% 0.10/0.45 % BW rewrite match attempts : 371
% 0.10/0.45 % BW rewrite match successes : 0
% 0.10/0.45 % Condensation attempts : 0
% 0.10/0.45 % Condensation successes : 0
% 0.10/0.45 % Termbank termtop insertions : 19240
% 0.10/0.45 % Search garbage collected termcells : 97
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.028 s
% 0.10/0.45 % System time : 0.005 s
% 0.10/0.45 % Total time : 0.033 s
% 0.10/0.45 % Maximum resident set size: 3668 pages
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.129 s
% 0.10/0.45 % System time : 0.026 s
% 0.10/0.45 % Total time : 0.155 s
% 0.10/0.45 % Maximum resident set size: 4864 pages
% 0.10/0.45 % E exiting
%------------------------------------------------------------------------------