%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN659-1 : 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 03:25:50 PM UTC 2026
% Result : Unsatisfiable 1.38s 0.63s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 13 unt; 0 nHn; 22 RR)
% Number of literals : 55 ( 0 equ; 32 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p24_41,negated_conjecture,
( ~ p12(X4,X2)
| ~ p24(X3,X4)
| ~ p14(X3,X1)
| p24(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_41) ).
cnf(p12_10,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_10) ).
cnf(p14_45,negated_conjecture,
( ~ p7(X1,X3)
| ~ p12(X2,X4)
| p14(f15(X1,X2),f15(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_45) ).
cnf(p12_38,negated_conjecture,
( ~ p12(X3,X2)
| ~ p12(X3,X1)
| p12(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_38) ).
cnf(not_p24_39,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p24_39) ).
cnf(p24_27,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_27) ).
cnf(p12_29,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_29) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(c_0_8,negated_conjecture,
( ~ p12(X4,X2)
| ~ p24(X3,X4)
| ~ p14(X3,X1)
| p24(X1,X2) ),
inference(fof_simplification,[status(thm)],[p24_41]) ).
cnf(c_0_9,negated_conjecture,
( ~ p12(X4,X2)
| ~ p24(X3,X4)
| ~ p14(X3,X1)
| p24(X1,X2) ),
c_0_8 ).
cnf(c_0_10,negated_conjecture,
p12(X1,X1),
p12_10 ).
cnf(c_0_11,negated_conjecture,
( ~ p7(X1,X3)
| ~ p12(X2,X4)
| p14(f15(X1,X2),f15(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p14_45]) ).
cnf(c_0_12,negated_conjecture,
( ~ p12(X3,X2)
| ~ p12(X3,X1)
| p12(X1,X2) ),
inference(fof_simplification,[status(thm)],[p12_38]) ).
cnf(c_0_13,negated_conjecture,
( ~ p14(X3,X1)
| ~ p24(X3,X2)
| p24(X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( ~ p7(X1,X3)
| ~ p12(X2,X4)
| p14(f15(X1,X2),f15(X3,X4)) ),
c_0_11 ).
cnf(c_0_15,negated_conjecture,
( ~ p12(X3,X2)
| ~ p12(X3,X1)
| p12(X1,X2) ),
c_0_12 ).
cnf(c_0_16,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
inference(fof_simplification,[status(thm)],[not_p24_39]) ).
cnf(c_0_17,negated_conjecture,
( ~ p7(X4,X1)
| ~ p12(X5,X2)
| ~ p24(f15(X4,X5),X3)
| p24(f15(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
p24_27 ).
cnf(c_0_19,negated_conjecture,
( ~ p12(X2,X1)
| p12(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_20,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
p12_29 ).
cnf(c_0_21,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
c_0_16 ).
cnf(c_0_22,negated_conjecture,
( ~ p7(c29,X1)
| ~ p12(f13(c40,c41),X2)
| p24(f15(X1,X2),f13(c32,c33)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
p12(f13(c40,c41),f13(f16(c39),f17(c39))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN659-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:11:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 1.38/0.63 % Version: 3.5.1
% 1.38/0.63 % Preprocessing class: FSMSSMSMSSSNFFN.
% 1.38/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.38/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.38/0.63 % Starting new_bool_3 with 300s (1) cores
% 1.38/0.63 % Starting new_bool_1 with 300s (1) cores
% 1.38/0.63 % Starting sh5l with 300s (1) cores
% 1.38/0.63 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3321707 completed with status 0
% 1.38/0.63 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 1.38/0.63 % Preprocessing class: FSMSSMSMSSSNFFN.
% 1.38/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.38/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.38/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.38/0.63 % No SInE strategy applied
% 1.38/0.63 % Search class: FGUNM-FFMM21-MFFFFFNN
% 1.38/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.38/0.63 % Starting SubtermCWHack with 136s (1) cores
% 1.38/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 1.38/0.63 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 1.38/0.63 % Starting new_bool_3 with 136s (1) cores
% 1.38/0.63 % Starting new_bool_1 with 136s (1) cores
% 1.38/0.63 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 3321714 completed with status 0
% 1.38/0.63 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 1.38/0.63 % Preprocessing class: FSMSSMSMSSSNFFN.
% 1.38/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.38/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.38/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.38/0.63 % No SInE strategy applied
% 1.38/0.63 % Search class: FGUNM-FFMM21-MFFFFFNN
% 1.38/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.38/0.63 % Starting SubtermCWHack with 136s (1) cores
% 1.38/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 1.38/0.63 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 1.38/0.63 % Preprocessing time : 0.001 s
% 1.38/0.63 % Presaturation interreduction done
% 1.38/0.63
% 1.38/0.63 % Proof found!
% 1.38/0.63 % SZS status Unsatisfiable
% 1.38/0.63 % SZS output start CNFRefutation
% See solution above
% 1.38/0.63 % Parsed axioms : 51
% 1.38/0.63 % Removed by relevancy pruning/SinE : 0
% 1.38/0.63 % Initial clauses : 51
% 1.38/0.63 % Removed in clause preprocessing : 0
% 1.38/0.63 % Initial clauses in saturation : 51
% 1.38/0.63 % Processed clauses : 4032
% 1.38/0.63 % ...of these trivial : 0
% 1.38/0.63 % ...subsumed : 2853
% 1.38/0.63 % ...remaining for further processing : 1179
% 1.38/0.63 % Other redundant clauses eliminated : 0
% 1.38/0.63 % Clauses deleted for lack of memory : 0
% 1.38/0.63 % Backward-subsumed : 30
% 1.38/0.63 % Backward-rewritten : 0
% 1.38/0.63 % Generated clauses : 18088
% 1.38/0.63 % ...of the previous two non-redundant : 17228
% 1.38/0.63 % ...aggressively subsumed : 0
% 1.38/0.63 % Contextual simplify-reflections : 0
% 1.38/0.63 % Paramodulations : 18088
% 1.38/0.63 % Factorizations : 0
% 1.38/0.63 % NegExts : 0
% 1.38/0.63 % Equation resolutions : 0
% 1.38/0.63 % Disequality decompositions : 0
% 1.38/0.63 % Total rewrite steps : 4032
% 1.38/0.63 % ...of those cached : 3991
% 1.38/0.63 % Propositional unsat checks : 0
% 1.38/0.63 % Propositional check models : 0
% 1.38/0.63 % Propositional check unsatisfiable : 0
% 1.38/0.63 % Propositional clauses : 0
% 1.38/0.63 % Propositional clauses after purity: 0
% 1.38/0.63 % Propositional unsat core size : 0
% 1.38/0.63 % Propositional preprocessing time : 0.000
% 1.38/0.63 % Propositional encoding time : 0.000
% 1.38/0.63 % Propositional solver time : 0.000
% 1.38/0.63 % Success case prop preproc time : 0.000
% 1.38/0.63 % Success case prop encoding time : 0.000
% 1.38/0.63 % Success case prop solver time : 0.000
% 1.38/0.63 % Current number of processed clauses : 1098
% 1.38/0.63 % Positive orientable unit clauses : 29
% 1.38/0.63 % Positive unorientable unit clauses: 0
% 1.38/0.63 % Negative unit clauses : 2
% 1.38/0.63 % Non-unit-clauses : 1067
% 1.38/0.63 % Current number of unprocessed clauses: 13258
% 1.38/0.63 % ...number of literals in the above : 55985
% 1.38/0.63 % Current number of archived formulas : 0
% 1.38/0.63 % Current number of archived clauses : 81
% 1.38/0.63 % Clause-clause subsumption calls (NU) : 243574
% 1.38/0.63 % Rec. Clause-clause subsumption calls : 214767
% 1.38/0.63 % Non-unit clause-clause subsumptions : 2883
% 1.38/0.63 % Unit Clause-clause subsumption calls : 12
% 1.38/0.63 % Rewrite failures with RHS unbound : 0
% 1.38/0.63 % BW rewrite match attempts : 19
% 1.38/0.63 % BW rewrite match successes : 0
% 1.38/0.63 % Condensation attempts : 0
% 1.38/0.63 % Condensation successes : 0
% 1.38/0.63 % Termbank termtop insertions : 219065
% 1.38/0.63 % Search garbage collected termcells : 144
% 1.38/0.63
% 1.38/0.63 % -------------------------------------------------
% 1.38/0.63 % User time : 0.189 s
% 1.38/0.63 % System time : 0.010 s
% 1.38/0.63 % Total time : 0.199 s
% 1.38/0.63 % Maximum resident set size: 3684 pages
% 1.38/0.63
% 1.38/0.63 % -------------------------------------------------
% 1.38/0.63 % User time : 0.940 s
% 1.38/0.63 % System time : 0.055 s
% 1.38/0.63 % Total time : 0.995 s
% 1.38/0.63 % Maximum resident set size: 4864 pages
% 1.38/0.63 % E exiting
%------------------------------------------------------------------------------