%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN693-1 : 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 : n010.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 03:25:54 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.51s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 14 unt; 0 nHn; 22 RR)
% Number of literals : 45 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_40,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_40) ).
cnf(p2_12,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_52,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_52) ).
cnf(not_p2_53,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_53) ).
cnf(p2_58,negated_conjecture,
( ~ p3(X1,X3)
| ~ p10(X2,X4)
| p2(f11(X1,X2),f11(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_58) ).
cnf(p3_34,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1),f4(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_34) ).
cnf(p2_16,negated_conjecture,
p2(c44,c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
cnf(p10_7,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_7) ).
cnf(c_0_8,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_40]) ).
cnf(c_0_9,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
c_0_8 ).
cnf(c_0_10,negated_conjecture,
p2(X1,X1),
p2_12 ).
cnf(c_0_11,negated_conjecture,
( ~ p2(X2,X1)
| p2(X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
p2_52 ).
cnf(c_0_13,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(fof_simplification,[status(thm)],[not_p2_53]) ).
cnf(c_0_14,negated_conjecture,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( ~ p3(X1,X3)
| ~ p10(X2,X4)
| p2(f11(X1,X2),f11(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p2_58]) ).
cnf(c_0_16,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1),f4(X2)) ),
inference(fof_simplification,[status(thm)],[p3_34]) ).
cnf(c_0_17,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
c_0_13 ).
cnf(c_0_18,negated_conjecture,
( ~ p2(f11(f4(c44),c43),X1)
| p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( ~ p3(X1,X3)
| ~ p10(X2,X4)
| p2(f11(X1,X2),f11(X3,X4)) ),
c_0_15 ).
cnf(c_0_20,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1),f4(X2)) ),
c_0_16 ).
cnf(c_0_21,negated_conjecture,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( ~ p10(X2,X4)
| ~ p2(X1,X3)
| p2(f11(f4(X1),X2),f11(f4(X3),X4)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
p2(c44,c46),
p2_16 ).
cnf(c_0_24,negated_conjecture,
p10(X1,X1),
p10_7 ).
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
% 0.00/0.02 % Problem : SYN693-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Mon Sep 21 11:12:41 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.51 % Version: 3.5.1
% 0.13/0.51 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.51 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.51 % Starting sh5l with 300s (1) cores
% 0.13/0.51 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 753108 completed with status 0
% 0.13/0.51 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.13/0.51 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.51 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.51 % No SInE strategy applied
% 0.13/0.51 % Search class: FGHNM-FFMM21-MFFFFFNN
% 0.13/0.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.51 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.13/0.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/0.51 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.51 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.51 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 753114 completed with status 0
% 0.13/0.51 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.13/0.51 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.51 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.51 % No SInE strategy applied
% 0.13/0.51 % Search class: FGHNM-FFMM21-MFFFFFNN
% 0.13/0.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.51 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.51 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.13/0.51 % Preprocessing time : 0.002 s
% 0.13/0.51 % Presaturation interreduction done
% 0.13/0.51
% 0.13/0.51 % Proof found!
% 0.13/0.51 % SZS status Unsatisfiable
% 0.13/0.51 % SZS output start CNFRefutation
% See solution above
% 0.13/0.51 % Parsed axioms : 69
% 0.13/0.51 % Removed by relevancy pruning/SinE : 0
% 0.13/0.51 % Initial clauses : 69
% 0.13/0.51 % Removed in clause preprocessing : 0
% 0.13/0.51 % Initial clauses in saturation : 69
% 0.13/0.51 % Processed clauses : 800
% 0.13/0.51 % ...of these trivial : 0
% 0.13/0.51 % ...subsumed : 241
% 0.13/0.51 % ...remaining for further processing : 559
% 0.13/0.51 % Other redundant clauses eliminated : 0
% 0.13/0.51 % Clauses deleted for lack of memory : 0
% 0.13/0.51 % Backward-subsumed : 6
% 0.13/0.51 % Backward-rewritten : 0
% 0.13/0.51 % Generated clauses : 2286
% 0.13/0.51 % ...of the previous two non-redundant : 2210
% 0.13/0.51 % ...aggressively subsumed : 0
% 0.13/0.51 % Contextual simplify-reflections : 0
% 0.13/0.51 % Paramodulations : 2286
% 0.13/0.51 % Factorizations : 0
% 0.13/0.51 % NegExts : 0
% 0.13/0.51 % Equation resolutions : 0
% 0.13/0.51 % Disequality decompositions : 0
% 0.13/0.51 % Total rewrite steps : 146
% 0.13/0.51 % ...of those cached : 114
% 0.13/0.51 % Propositional unsat checks : 0
% 0.13/0.51 % Propositional check models : 0
% 0.13/0.51 % Propositional check unsatisfiable : 0
% 0.13/0.51 % Propositional clauses : 0
% 0.13/0.51 % Propositional clauses after purity: 0
% 0.13/0.51 % Propositional unsat core size : 0
% 0.13/0.51 % Propositional preprocessing time : 0.000
% 0.13/0.51 % Propositional encoding time : 0.000
% 0.13/0.51 % Propositional solver time : 0.000
% 0.13/0.51 % Success case prop preproc time : 0.000
% 0.13/0.51 % Success case prop encoding time : 0.000
% 0.13/0.51 % Success case prop solver time : 0.000
% 0.13/0.51 % Current number of processed clauses : 484
% 0.13/0.51 % Positive orientable unit clauses : 33
% 0.13/0.51 % Positive unorientable unit clauses: 0
% 0.13/0.51 % Negative unit clauses : 8
% 0.13/0.51 % Non-unit-clauses : 443
% 0.13/0.51 % Current number of unprocessed clauses: 1547
% 0.13/0.51 % ...number of literals in the above : 4936
% 0.13/0.51 % Current number of archived formulas : 0
% 0.13/0.51 % Current number of archived clauses : 75
% 0.13/0.51 % Clause-clause subsumption calls (NU) : 34746
% 0.13/0.51 % Rec. Clause-clause subsumption calls : 30385
% 0.13/0.51 % Non-unit clause-clause subsumptions : 236
% 0.13/0.51 % Unit Clause-clause subsumption calls : 255
% 0.13/0.51 % Rewrite failures with RHS unbound : 0
% 0.13/0.51 % BW rewrite match attempts : 9
% 0.13/0.51 % BW rewrite match successes : 0
% 0.13/0.51 % Condensation attempts : 0
% 0.13/0.51 % Condensation successes : 0
% 0.13/0.51 % Termbank termtop insertions : 36118
% 0.13/0.51 % Search garbage collected termcells : 194
% 0.13/0.51
% 0.13/0.51 % -------------------------------------------------
% 0.13/0.51 % User time : 0.077 s
% 0.13/0.51 % System time : 0.006 s
% 0.13/0.51 % Total time : 0.083 s
% 0.13/0.51 % Maximum resident set size: 3448 pages
% 0.13/0.51
% 0.13/0.51 % -------------------------------------------------
% 0.13/0.51 % User time : 0.374 s
% 0.13/0.51 % System time : 0.044 s
% 0.13/0.51 % Total time : 0.418 s
% 0.13/0.51 % Maximum resident set size: 4608 pages
% 0.13/0.51 % E exiting
%------------------------------------------------------------------------------