%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN694-1 : 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 : n019.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 0.16s 5.55s
% Output : CNFRefutation 0.16s
% 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_42,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_42) ).
cnf(p2_12,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_55,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_55) ).
cnf(not_p2_56,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_56) ).
cnf(p2_61,negated_conjecture,
( ~ p3(X1,X3)
| ~ p10(X2,X4)
| p2(f11(X1,X2),f11(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_61) ).
cnf(p3_36,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1),f4(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_36) ).
cnf(p2_18,negated_conjecture,
p2(c44,c45),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
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_42]) ).
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_55 ).
cnf(c_0_13,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(fof_simplification,[status(thm)],[not_p2_56]) ).
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_61]) ).
cnf(c_0_16,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1),f4(X2)) ),
inference(fof_simplification,[status(thm)],[p3_36]) ).
cnf(c_0_17,negated_conjecture,
~ p2(f11(f4(c45),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(c45),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,c45),
p2_18 ).
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
% 0.00/0.03 % Problem : SYN694-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.38 % Computer : n019.cluster.edu
% 0.13/5.38 % Model : x86_64 x86_64
% 0.13/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.38 % Memory : 8046.5625MB
% 0.13/5.38 % OS : Linux 6.8.0-71-generic
% 0.13/5.38 % CPULimit : 300
% 0.13/5.38 % WCLimit : 300
% 0.13/5.38 % DateTime : Mon Sep 21 11:12:58 UTC 2026
% 0.13/5.38 % CPUTime :
% 0.13/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 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
% 0.16/5.55 % Version: 3.5.1
% 0.16/5.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.55 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.55 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.55 % Starting sh5l with 300s (1) cores
% 0.16/5.55 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2426247 completed with status 0
% 0.16/5.55 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/5.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.55 % No SInE strategy applied
% 0.16/5.55 % Search class: FGHNM-FFMM21-MFFFFFNN
% 0.16/5.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.55 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/5.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.16/5.55 % Starting new_bool_3 with 136s (1) cores
% 0.16/5.55 % Starting new_bool_1 with 136s (1) cores
% 0.16/5.55 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2426253 completed with status 0
% 0.16/5.55 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/5.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/5.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/5.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/5.55 % No SInE strategy applied
% 0.16/5.55 % Search class: FGHNM-FFMM21-MFFFFFNN
% 0.16/5.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/5.55 % Starting SubtermCWHack with 136s (1) cores
% 0.16/5.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/5.55 % Preprocessing time : 0.002 s
% 0.16/5.55 % Presaturation interreduction done
% 0.16/5.55
% 0.16/5.55 % Proof found!
% 0.16/5.55 % SZS status Unsatisfiable
% 0.16/5.55 % SZS output start CNFRefutation
% See solution above
% 0.16/5.55 % Parsed axioms : 73
% 0.16/5.55 % Removed by relevancy pruning/SinE : 0
% 0.16/5.55 % Initial clauses : 73
% 0.16/5.55 % Removed in clause preprocessing : 0
% 0.16/5.55 % Initial clauses in saturation : 73
% 0.16/5.55 % Processed clauses : 998
% 0.16/5.55 % ...of these trivial : 0
% 0.16/5.55 % ...subsumed : 293
% 0.16/5.55 % ...remaining for further processing : 705
% 0.16/5.55 % Other redundant clauses eliminated : 0
% 0.16/5.55 % Clauses deleted for lack of memory : 0
% 0.16/5.55 % Backward-subsumed : 22
% 0.16/5.55 % Backward-rewritten : 0
% 0.16/5.55 % Generated clauses : 2737
% 0.16/5.55 % ...of the previous two non-redundant : 2599
% 0.16/5.55 % ...aggressively subsumed : 0
% 0.16/5.55 % Contextual simplify-reflections : 4
% 0.16/5.55 % Paramodulations : 2737
% 0.16/5.55 % Factorizations : 0
% 0.16/5.55 % NegExts : 0
% 0.16/5.55 % Equation resolutions : 0
% 0.16/5.55 % Disequality decompositions : 0
% 0.16/5.55 % Total rewrite steps : 202
% 0.16/5.55 % ...of those cached : 164
% 0.16/5.55 % Propositional unsat checks : 0
% 0.16/5.55 % Propositional check models : 0
% 0.16/5.55 % Propositional check unsatisfiable : 0
% 0.16/5.55 % Propositional clauses : 0
% 0.16/5.55 % Propositional clauses after purity: 0
% 0.16/5.55 % Propositional unsat core size : 0
% 0.16/5.55 % Propositional preprocessing time : 0.000
% 0.16/5.55 % Propositional encoding time : 0.000
% 0.16/5.55 % Propositional solver time : 0.000
% 0.16/5.55 % Success case prop preproc time : 0.000
% 0.16/5.55 % Success case prop encoding time : 0.000
% 0.16/5.55 % Success case prop solver time : 0.000
% 0.16/5.55 % Current number of processed clauses : 610
% 0.16/5.55 % Positive orientable unit clauses : 38
% 0.16/5.55 % Positive unorientable unit clauses: 0
% 0.16/5.55 % Negative unit clauses : 8
% 0.16/5.55 % Non-unit-clauses : 564
% 0.16/5.55 % Current number of unprocessed clauses: 1738
% 0.16/5.55 % ...number of literals in the above : 5902
% 0.16/5.55 % Current number of archived formulas : 0
% 0.16/5.55 % Current number of archived clauses : 95
% 0.16/5.55 % Clause-clause subsumption calls (NU) : 69065
% 0.16/5.55 % Rec. Clause-clause subsumption calls : 60378
% 0.16/5.55 % Non-unit clause-clause subsumptions : 312
% 0.16/5.55 % Unit Clause-clause subsumption calls : 325
% 0.16/5.55 % Rewrite failures with RHS unbound : 0
% 0.16/5.55 % BW rewrite match attempts : 12
% 0.16/5.55 % BW rewrite match successes : 0
% 0.16/5.55 % Condensation attempts : 0
% 0.16/5.55 % Condensation successes : 0
% 0.16/5.55 % Termbank termtop insertions : 39890
% 0.16/5.55 % Search garbage collected termcells : 200
% 0.16/5.55
% 0.16/5.55 % -------------------------------------------------
% 0.16/5.55 % User time : 0.099 s
% 0.16/5.55 % System time : 0.007 s
% 0.16/5.55 % Total time : 0.106 s
% 0.16/5.55 % Maximum resident set size: 3708 pages
% 0.16/5.55
% 0.16/5.55 % -------------------------------------------------
% 0.16/5.55 % User time : 0.468 s
% 0.16/5.55 % System time : 0.065 s
% 0.16/5.55 % Total time : 0.533 s
% 0.16/5.55 % Maximum resident set size: 4608 pages
% 0.16/5.55 % E exiting
%------------------------------------------------------------------------------