%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN654-1 : 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 : n008.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 03:25:49 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 28 ( 14 unt; 0 nHn; 15 RR)
% Number of literals : 45 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-8 aty)
% Number of variables : 104 ( 38 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p8_18,negated_conjecture,
( ~ p8(X3,X2)
| ~ p8(X3,X1)
| p8(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
cnf(p8_36,negated_conjecture,
( ~ p21(f11(X3,X4,X7,X1,X8,X5),X6)
| p8(X1,f16(X2,X3,X4,X5,X6,X7,X1,X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_36) ).
cnf(p3_48,negated_conjecture,
( ~ p21(f11(X3,X4,X6,X7,X8,X5),X1)
| p3(X1,f11(f19(X2,X3,X4,X5,X1,X6,X7,X8),f18(X2,X3,X4,X5,X1,X6,X7,X8),f17(X2,X3,X4,X5,X1,X6,X7,X8),f16(X2,X3,X4,X5,X1,X6,X7,X8),f15(X2,X3,X4,X5,X1,X6,X7,X8),f14(X2,X3,X4,X5,X1,X6,X7,X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_48) ).
cnf(p8_3,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
cnf(p21_27,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
cnf(p8_31,negated_conjecture,
( ~ p3(f11(X3,X4,X5,X1,X6,X7),f11(X8,X9,X10,X2,X11,X12))
| p8(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_31) ).
cnf(not_p8_10,negated_conjecture,
~ p8(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_10) ).
cnf(c_0_7,negated_conjecture,
( ~ p8(X3,X2)
| ~ p8(X3,X1)
| p8(X1,X2) ),
inference(fof_simplification,[status(thm)],[p8_18]) ).
cnf(c_0_8,negated_conjecture,
( ~ p21(f11(X3,X4,X7,X1,X8,X5),X6)
| p8(X1,f16(X2,X3,X4,X5,X6,X7,X1,X8)) ),
inference(fof_simplification,[status(thm)],[p8_36]) ).
cnf(c_0_9,negated_conjecture,
( ~ p21(f11(X3,X4,X6,X7,X8,X5),X1)
| p3(X1,f11(f19(X2,X3,X4,X5,X1,X6,X7,X8),f18(X2,X3,X4,X5,X1,X6,X7,X8),f17(X2,X3,X4,X5,X1,X6,X7,X8),f16(X2,X3,X4,X5,X1,X6,X7,X8),f15(X2,X3,X4,X5,X1,X6,X7,X8),f14(X2,X3,X4,X5,X1,X6,X7,X8))) ),
inference(fof_simplification,[status(thm)],[p3_48]) ).
cnf(c_0_10,negated_conjecture,
( ~ p8(X3,X2)
| ~ p8(X3,X1)
| p8(X1,X2) ),
c_0_7 ).
cnf(c_0_11,negated_conjecture,
p8(X1,X1),
p8_3 ).
cnf(c_0_12,negated_conjecture,
( ~ p21(f11(X3,X4,X7,X1,X8,X5),X6)
| p8(X1,f16(X2,X3,X4,X5,X6,X7,X1,X8)) ),
c_0_8 ).
cnf(c_0_13,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
p21_27 ).
cnf(c_0_14,negated_conjecture,
( ~ p3(f11(X3,X4,X5,X1,X6,X7),f11(X8,X9,X10,X2,X11,X12))
| p8(X1,X2) ),
inference(fof_simplification,[status(thm)],[p8_31]) ).
cnf(c_0_15,negated_conjecture,
( ~ p21(f11(X3,X4,X6,X7,X8,X5),X1)
| p3(X1,f11(f19(X2,X3,X4,X5,X1,X6,X7,X8),f18(X2,X3,X4,X5,X1,X6,X7,X8),f17(X2,X3,X4,X5,X1,X6,X7,X8),f16(X2,X3,X4,X5,X1,X6,X7,X8),f15(X2,X3,X4,X5,X1,X6,X7,X8),f14(X2,X3,X4,X5,X1,X6,X7,X8))) ),
c_0_9 ).
cnf(c_0_16,negated_conjecture,
( ~ p8(X2,X1)
| p8(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
p8(c22,f16(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( ~ p3(f11(X3,X4,X5,X1,X6,X7),f11(X8,X9,X10,X2,X11,X12))
| p8(X1,X2) ),
c_0_14 ).
cnf(c_0_19,negated_conjecture,
p3(f11(c29,c30,c31,c23,c32,c33),f11(f19(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f18(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f17(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f16(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f15(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f14(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
p8(f16(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
p8(c23,f16(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( ~ p8(f16(X2,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),X1)
| p8(X1,c22) ),
inference(spm,[status(thm)],[c_0_10,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
p8(f16(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c23),
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
~ p8(c22,c23),
inference(fof_simplification,[status(thm)],[not_p8_10]) ).
cnf(c_0_25,negated_conjecture,
p8(c23,c22),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
~ p8(c22,c23),
c_0_24 ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN654-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:11:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.19/0.52 % Version: 3.5.1
% 0.19/0.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.52 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.52 % Starting sh5l with 300s (1) cores
% 0.19/0.52 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 840250 completed with status 0
% 0.19/0.52 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.19/0.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.52 % No SInE strategy applied
% 0.19/0.52 % Search class: FHUNM-FFMF33-SFFFFFNN
% 0.19/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.19/0.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.19/0.52 % Starting new_bool_3 with 136s (1) cores
% 0.19/0.52 % Starting new_bool_1 with 136s (1) cores
% 0.19/0.52 % new_bool_3 with pid 840258 completed with status 0
% 0.19/0.52 % Result found by new_bool_3
% 0.19/0.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.52 % No SInE strategy applied
% 0.19/0.52 % Search class: FHUNM-FFMF33-SFFFFFNN
% 0.19/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.19/0.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.19/0.52 % Starting new_bool_3 with 136s (1) cores
% 0.19/0.52 % Preprocessing time : 0.002 s
% 0.19/0.52 % Presaturation interreduction done
% 0.19/0.52
% 0.19/0.52 % Proof found!
% 0.19/0.52 % SZS status Unsatisfiable
% 0.19/0.52 % SZS output start CNFRefutation
% See solution above
% 0.19/0.52 % Parsed axioms : 48
% 0.19/0.52 % Removed by relevancy pruning/SinE : 0
% 0.19/0.52 % Initial clauses : 48
% 0.19/0.52 % Removed in clause preprocessing : 0
% 0.19/0.52 % Initial clauses in saturation : 48
% 0.19/0.52 % Processed clauses : 256
% 0.19/0.52 % ...of these trivial : 1
% 0.19/0.52 % ...subsumed : 5
% 0.19/0.52 % ...remaining for further processing : 250
% 0.19/0.52 % Other redundant clauses eliminated : 0
% 0.19/0.52 % Clauses deleted for lack of memory : 0
% 0.19/0.52 % Backward-subsumed : 1
% 0.19/0.52 % Backward-rewritten : 1
% 0.19/0.52 % Generated clauses : 672
% 0.19/0.52 % ...of the previous two non-redundant : 545
% 0.19/0.52 % ...aggressively subsumed : 0
% 0.19/0.52 % Contextual simplify-reflections : 0
% 0.19/0.52 % Paramodulations : 672
% 0.19/0.52 % Factorizations : 0
% 0.19/0.52 % NegExts : 0
% 0.19/0.52 % Equation resolutions : 0
% 0.19/0.52 % Disequality decompositions : 0
% 0.19/0.52 % Total rewrite steps : 116
% 0.19/0.52 % ...of those cached : 60
% 0.19/0.52 % Propositional unsat checks : 0
% 0.19/0.52 % Propositional check models : 0
% 0.19/0.52 % Propositional check unsatisfiable : 0
% 0.19/0.52 % Propositional clauses : 0
% 0.19/0.52 % Propositional clauses after purity: 0
% 0.19/0.52 % Propositional unsat core size : 0
% 0.19/0.52 % Propositional preprocessing time : 0.000
% 0.19/0.52 % Propositional encoding time : 0.000
% 0.19/0.52 % Propositional solver time : 0.000
% 0.19/0.52 % Success case prop preproc time : 0.000
% 0.19/0.52 % Success case prop encoding time : 0.000
% 0.19/0.52 % Success case prop solver time : 0.000
% 0.19/0.52 % Current number of processed clauses : 202
% 0.19/0.52 % Positive orientable unit clauses : 47
% 0.19/0.52 % Positive unorientable unit clauses: 0
% 0.19/0.52 % Negative unit clauses : 2
% 0.19/0.52 % Non-unit-clauses : 153
% 0.19/0.52 % Current number of unprocessed clauses: 372
% 0.19/0.52 % ...number of literals in the above : 952
% 0.19/0.52 % Current number of archived formulas : 0
% 0.19/0.52 % Current number of archived clauses : 48
% 0.19/0.52 % Clause-clause subsumption calls (NU) : 4141
% 0.19/0.52 % Rec. Clause-clause subsumption calls : 2305
% 0.19/0.52 % Non-unit clause-clause subsumptions : 6
% 0.19/0.52 % Unit Clause-clause subsumption calls : 635
% 0.19/0.52 % Rewrite failures with RHS unbound : 0
% 0.19/0.52 % BW rewrite match attempts : 39
% 0.19/0.52 % BW rewrite match successes : 1
% 0.19/0.52 % Condensation attempts : 0
% 0.19/0.52 % Condensation successes : 0
% 0.19/0.52 % Termbank termtop insertions : 21857
% 0.19/0.52 % Search garbage collected termcells : 209
% 0.19/0.52
% 0.19/0.52 % -------------------------------------------------
% 0.19/0.52 % User time : 0.033 s
% 0.19/0.52 % System time : 0.006 s
% 0.19/0.52 % Total time : 0.038 s
% 0.19/0.52 % Maximum resident set size: 3384 pages
% 0.19/0.52
% 0.19/0.52 % -------------------------------------------------
% 0.19/0.52 % User time : 0.246 s
% 0.19/0.52 % System time : 0.027 s
% 0.19/0.52 % Total time : 0.273 s
% 0.19/0.52 % Maximum resident set size: 4608 pages
% 0.19/0.52 % E exiting
%------------------------------------------------------------------------------