%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN640-1 : 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 : n007.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 03:25:47 PM UTC 2026
% Result : Unsatisfiable 2.09s 0.73s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 21 unt; 0 nHn; 32 RR)
% Number of literals : 63 ( 0 equ; 32 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_26,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_33,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_33) ).
cnf(p19_28,negated_conjecture,
( ~ p19(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p19(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_28) ).
cnf(p2_34,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_34) ).
cnf(p19_12,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_12) ).
cnf(p20_35,negated_conjecture,
( ~ p19(f13(f11(X1)),f13(f11(X2)))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X2)),f7(c24))
| p20(f17(X1),f17(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_35) ).
cnf(not_p20_7,negated_conjecture,
~ p20(f17(c25),f17(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p20_7) ).
cnf(p2_10,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(p2_9,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
cnf(c_0_10,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_26]) ).
cnf(c_0_11,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
c_0_10 ).
cnf(c_0_12,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_13,negated_conjecture,
( ~ p2(X2,X1)
| p2(X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
p2_33 ).
cnf(c_0_15,negated_conjecture,
( ~ p19(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p19(X1,X2) ),
inference(fof_simplification,[status(thm)],[p19_28]) ).
cnf(c_0_16,negated_conjecture,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c23))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
p2_34 ).
cnf(c_0_18,negated_conjecture,
( ~ p19(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p19(X1,X2) ),
c_0_15 ).
cnf(c_0_19,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
p19_12 ).
cnf(c_0_20,negated_conjecture,
( ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X1)
| p2(X1,f13(f11(c23))) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( ~ p2(f13(f11(c23)),X1)
| ~ p2(f13(f11(c22)),X2)
| p19(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
p2(f13(f11(c25)),f13(f11(c23))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( ~ p19(f13(f11(X1)),f13(f11(X2)))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X2)),f7(c24))
| p20(f17(X1),f17(X2)) ),
inference(fof_simplification,[status(thm)],[p20_35]) ).
cnf(c_0_25,negated_conjecture,
( ~ p2(f13(f11(c23)),X1)
| p19(X1,f13(f11(c22))) ),
inference(spm,[status(thm)],[c_0_22,c_0_12]) ).
cnf(c_0_26,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c25))),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
~ p20(f17(c25),f17(c22)),
inference(fof_simplification,[status(thm)],[not_p20_7]) ).
cnf(c_0_28,negated_conjecture,
( ~ p19(f13(f11(X1)),f13(f11(X2)))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X2)),f7(c24))
| p20(f17(X1),f17(X2)) ),
c_0_24 ).
cnf(c_0_29,negated_conjecture,
p19(f13(f11(c25)),f13(f11(c22))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
p2_10 ).
cnf(c_0_31,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
p2_9 ).
cnf(c_0_32,negated_conjecture,
~ p20(f17(c25),f17(c22)),
c_0_27 ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN640-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.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
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:08:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.09/0.73 % Version: 3.5.1
% 2.09/0.73 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.09/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.09/0.73 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.09/0.73 % Starting new_bool_3 with 300s (1) cores
% 2.09/0.73 % Starting new_bool_1 with 300s (1) cores
% 2.09/0.73 % Starting sh5l with 300s (1) cores
% 2.09/0.73 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 940219 completed with status 0
% 2.09/0.73 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.09/0.73 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.09/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.09/0.73 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.09/0.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.09/0.73 % No SInE strategy applied
% 2.09/0.73 % Search class: FHUNM-FFMM21-DFFFFFNN
% 2.09/0.73 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.09/0.73 % Starting SubtermCWHack with 136s (1) cores
% 2.09/0.73 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.09/0.73 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.09/0.73 % Starting new_bool_3 with 136s (1) cores
% 2.09/0.73 % Starting new_bool_1 with 136s (1) cores
% 2.09/0.73 % new_bool_1 with pid 940231 completed with status 0
% 2.09/0.73 % Result found by new_bool_1
% 2.09/0.73 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.09/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.09/0.73 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.09/0.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.09/0.73 % No SInE strategy applied
% 2.09/0.73 % Search class: FHUNM-FFMM21-DFFFFFNN
% 2.09/0.73 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.09/0.73 % Starting SubtermCWHack with 136s (1) cores
% 2.09/0.73 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.09/0.73 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.09/0.73 % Starting new_bool_3 with 136s (1) cores
% 2.09/0.73 % Starting new_bool_1 with 136s (1) cores
% 2.09/0.73 % Preprocessing time : 0.002 s
% 2.09/0.73 % Presaturation interreduction done
% 2.09/0.73
% 2.09/0.73 % Proof found!
% 2.09/0.73 % SZS status Unsatisfiable
% 2.09/0.73 % SZS output start CNFRefutation
% See solution above
% 2.09/0.73 % Parsed axioms : 42
% 2.09/0.73 % Removed by relevancy pruning/SinE : 0
% 2.09/0.73 % Initial clauses : 42
% 2.09/0.73 % Removed in clause preprocessing : 0
% 2.09/0.73 % Initial clauses in saturation : 42
% 2.09/0.73 % Processed clauses : 1542
% 2.09/0.73 % ...of these trivial : 303
% 2.09/0.73 % ...subsumed : 0
% 2.09/0.73 % ...remaining for further processing : 1239
% 2.09/0.73 % Other redundant clauses eliminated : 0
% 2.09/0.73 % Clauses deleted for lack of memory : 0
% 2.09/0.73 % Backward-subsumed : 0
% 2.09/0.73 % Backward-rewritten : 0
% 2.09/0.73 % Generated clauses : 25990
% 2.09/0.73 % ...of the previous two non-redundant : 24175
% 2.09/0.73 % ...aggressively subsumed : 0
% 2.09/0.73 % Contextual simplify-reflections : 0
% 2.09/0.73 % Paramodulations : 25990
% 2.09/0.73 % Factorizations : 0
% 2.09/0.73 % NegExts : 0
% 2.09/0.73 % Equation resolutions : 0
% 2.09/0.73 % Disequality decompositions : 0
% 2.09/0.73 % Total rewrite steps : 2120
% 2.09/0.73 % ...of those cached : 1340
% 2.09/0.73 % Propositional unsat checks : 0
% 2.09/0.73 % Propositional check models : 0
% 2.09/0.73 % Propositional check unsatisfiable : 0
% 2.09/0.73 % Propositional clauses : 0
% 2.09/0.73 % Propositional clauses after purity: 0
% 2.09/0.73 % Propositional unsat core size : 0
% 2.09/0.73 % Propositional preprocessing time : 0.000
% 2.09/0.73 % Propositional encoding time : 0.000
% 2.09/0.73 % Propositional solver time : 0.000
% 2.09/0.73 % Success case prop preproc time : 0.000
% 2.09/0.73 % Success case prop encoding time : 0.000
% 2.09/0.73 % Success case prop solver time : 0.000
% 2.09/0.73 % Current number of processed clauses : 1197
% 2.09/0.73 % Positive orientable unit clauses : 610
% 2.09/0.73 % Positive unorientable unit clauses: 0
% 2.09/0.73 % Negative unit clauses : 2
% 2.09/0.73 % Non-unit-clauses : 585
% 2.09/0.73 % Current number of unprocessed clauses: 22716
% 2.09/0.73 % ...number of literals in the above : 23299
% 2.09/0.73 % Current number of archived formulas : 0
% 2.09/0.73 % Current number of archived clauses : 42
% 2.09/0.73 % Clause-clause subsumption calls (NU) : 12563
% 2.09/0.73 % Rec. Clause-clause subsumption calls : 12280
% 2.09/0.73 % Non-unit clause-clause subsumptions : 0
% 2.09/0.73 % Unit Clause-clause subsumption calls : 473
% 2.09/0.73 % Rewrite failures with RHS unbound : 0
% 2.09/0.73 % BW rewrite match attempts : 6250
% 2.09/0.73 % BW rewrite match successes : 0
% 2.09/0.73 % Condensation attempts : 0
% 2.09/0.73 % Condensation successes : 0
% 2.09/0.73 % Termbank termtop insertions : 609126
% 2.09/0.73 % Search garbage collected termcells : 100
% 2.09/0.73
% 2.09/0.73 % -------------------------------------------------
% 2.09/0.73 % User time : 0.201 s
% 2.09/0.73 % System time : 0.017 s
% 2.09/0.73 % Total time : 0.218 s
% 2.09/0.73 % Maximum resident set size: 3704 pages
% 2.09/0.73
% 2.09/0.73 % -------------------------------------------------
% 2.09/0.73 % User time : 1.194 s
% 2.09/0.73 % System time : 0.083 s
% 2.09/0.73 % Total time : 1.278 s
% 2.09/0.73 % Maximum resident set size: 4608 pages
% 2.09/0.73 % E exiting
%------------------------------------------------------------------------------