%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN689-1 : 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 0.14s 0.62s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 14 unt; 0 nHn; 31 RR)
% Number of literals : 68 ( 0 equ; 39 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p28_44,negated_conjecture,
( ~ p18(X4,X1)
| ~ p28(X4,X3)
| ~ p18(X3,X2)
| p28(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_44) ).
cnf(p18_37,negated_conjecture,
( ~ p18(X3,X2)
| ~ p18(X3,X1)
| p18(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_37) ).
cnf(p28_18,negated_conjecture,
p28(f20(f19(c43)),f19(c35)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28_18) ).
cnf(p18_10,negated_conjecture,
p18(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
cnf(p18_31,negated_conjecture,
( ~ p27(X1)
| p18(f19(f17(X1)),f20(f19(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_31) ).
cnf(p26_41,negated_conjecture,
( ~ p28(f19(X1),f19(X2))
| ~ p27(X2)
| ~ p27(X1)
| p26(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_41) ).
cnf(c43_is_p27_2,negated_conjecture,
p27(c43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c43_is_p27_2) ).
cnf(not_p26_15,negated_conjecture,
~ p26(f17(c43),c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p26_15) ).
cnf(c35_is_p27_3,negated_conjecture,
p27(c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c35_is_p27_3) ).
cnf(p27_17,negated_conjecture,
( ~ p27(X1)
| p27(f17(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_17) ).
cnf(c_0_10,negated_conjecture,
( ~ p18(X4,X1)
| ~ p28(X4,X3)
| ~ p18(X3,X2)
| p28(X1,X2) ),
inference(fof_simplification,[status(thm)],[p28_44]) ).
cnf(c_0_11,negated_conjecture,
( ~ p18(X3,X2)
| ~ p18(X3,X1)
| p18(X1,X2) ),
inference(fof_simplification,[status(thm)],[p18_37]) ).
cnf(c_0_12,negated_conjecture,
( ~ p18(X4,X1)
| ~ p28(X4,X3)
| ~ p18(X3,X2)
| p28(X1,X2) ),
c_0_10 ).
cnf(c_0_13,negated_conjecture,
p28(f20(f19(c43)),f19(c35)),
p28_18 ).
cnf(c_0_14,negated_conjecture,
( ~ p18(X3,X2)
| ~ p18(X3,X1)
| p18(X1,X2) ),
c_0_11 ).
cnf(c_0_15,negated_conjecture,
p18(X1,X1),
p18_10 ).
cnf(c_0_16,negated_conjecture,
( ~ p27(X1)
| p18(f19(f17(X1)),f20(f19(X1))) ),
inference(fof_simplification,[status(thm)],[p18_31]) ).
cnf(c_0_17,negated_conjecture,
( ~ p18(f19(c35),X2)
| ~ p18(f20(f19(c43)),X1)
| p28(X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( ~ p18(X2,X1)
| p18(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( ~ p27(X1)
| p18(f19(f17(X1)),f20(f19(X1))) ),
c_0_16 ).
cnf(c_0_20,negated_conjecture,
( ~ p28(f19(X1),f19(X2))
| ~ p27(X2)
| ~ p27(X1)
| p26(X1,X2) ),
inference(fof_simplification,[status(thm)],[p26_41]) ).
cnf(c_0_21,negated_conjecture,
( ~ p18(f20(f19(c43)),X1)
| p28(X1,f19(c35)) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( ~ p27(X1)
| p18(f20(f19(X1)),f19(f17(X1))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
p27(c43),
c43_is_p27_2 ).
cnf(c_0_24,negated_conjecture,
~ p26(f17(c43),c35),
inference(fof_simplification,[status(thm)],[not_p26_15]) ).
cnf(c_0_25,negated_conjecture,
( ~ p28(f19(X1),f19(X2))
| ~ p27(X2)
| ~ p27(X1)
| p26(X1,X2) ),
c_0_20 ).
cnf(c_0_26,negated_conjecture,
p28(f19(f17(c43)),f19(c35)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_27,negated_conjecture,
p27(c35),
c35_is_p27_3 ).
cnf(c_0_28,negated_conjecture,
~ p26(f17(c43),c35),
c_0_24 ).
cnf(c_0_29,negated_conjecture,
( ~ p27(X1)
| p27(f17(X1)) ),
inference(fof_simplification,[status(thm)],[p27_17]) ).
cnf(c_0_30,negated_conjecture,
~ p27(f17(c43)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( ~ p27(X1)
| p27(f17(X1)) ),
c_0_29 ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN689-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.55 % Computer : n010.cluster.edu
% 0.11/0.55 % Model : x86_64 x86_64
% 0.11/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.55 % Memory : 8046.5625MB
% 0.11/0.55 % OS : Linux 6.8.0-71-generic
% 0.11/0.55 % CPULimit : 300
% 0.11/0.55 % WCLimit : 300
% 0.11/0.55 % DateTime : Mon Sep 21 11:12:26 UTC 2026
% 0.11/0.55 % CPUTime :
% 0.11/0.55 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.59 Running first-order theorem proving
% 0.14/0.59 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
% 0.14/0.62 % Version: 3.5.1
% 0.14/0.62 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.62 % Starting sh5l with 300s (1) cores
% 0.14/0.62 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 752487 completed with status 0
% 0.14/0.62 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.62 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.62 % No SInE strategy applied
% 0.14/0.62 % Search class: FHUNM-FFMM21-DFFFFFNN
% 0.14/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.62 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.62 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.62 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.62 % new_bool_3 with pid 752495 completed with status 0
% 0.14/0.62 % Result found by new_bool_3
% 0.14/0.62 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.62 % No SInE strategy applied
% 0.14/0.62 % Search class: FHUNM-FFMM21-DFFFFFNN
% 0.14/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.62 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.62 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.62 % Preprocessing time : 0.002 s
% 0.14/0.62 % Presaturation interreduction done
% 0.14/0.62
% 0.14/0.62 % Proof found!
% 0.14/0.62 % SZS status Unsatisfiable
% 0.14/0.62 % SZS output start CNFRefutation
% See solution above
% 0.14/0.62 % Parsed axioms : 62
% 0.14/0.62 % Removed by relevancy pruning/SinE : 0
% 0.14/0.62 % Initial clauses : 62
% 0.14/0.62 % Removed in clause preprocessing : 0
% 0.14/0.62 % Initial clauses in saturation : 62
% 0.14/0.62 % Processed clauses : 167
% 0.14/0.62 % ...of these trivial : 0
% 0.14/0.62 % ...subsumed : 0
% 0.14/0.62 % ...remaining for further processing : 167
% 0.14/0.62 % Other redundant clauses eliminated : 0
% 0.14/0.62 % Clauses deleted for lack of memory : 0
% 0.14/0.62 % Backward-subsumed : 0
% 0.14/0.62 % Backward-rewritten : 1
% 0.14/0.62 % Generated clauses : 185
% 0.14/0.62 % ...of the previous two non-redundant : 149
% 0.14/0.62 % ...aggressively subsumed : 0
% 0.14/0.62 % Contextual simplify-reflections : 0
% 0.14/0.62 % Paramodulations : 185
% 0.14/0.62 % Factorizations : 0
% 0.14/0.62 % NegExts : 0
% 0.14/0.62 % Equation resolutions : 0
% 0.14/0.62 % Disequality decompositions : 0
% 0.14/0.62 % Total rewrite steps : 41
% 0.14/0.62 % ...of those cached : 6
% 0.14/0.62 % Propositional unsat checks : 0
% 0.14/0.62 % Propositional check models : 0
% 0.14/0.62 % Propositional check unsatisfiable : 0
% 0.14/0.62 % Propositional clauses : 0
% 0.14/0.62 % Propositional clauses after purity: 0
% 0.14/0.62 % Propositional unsat core size : 0
% 0.14/0.62 % Propositional preprocessing time : 0.000
% 0.14/0.62 % Propositional encoding time : 0.000
% 0.14/0.62 % Propositional solver time : 0.000
% 0.14/0.62 % Success case prop preproc time : 0.000
% 0.14/0.62 % Success case prop encoding time : 0.000
% 0.14/0.62 % Success case prop solver time : 0.000
% 0.14/0.62 % Current number of processed clauses : 104
% 0.14/0.62 % Positive orientable unit clauses : 34
% 0.14/0.62 % Positive unorientable unit clauses: 0
% 0.14/0.62 % Negative unit clauses : 6
% 0.14/0.62 % Non-unit-clauses : 64
% 0.14/0.62 % Current number of unprocessed clauses: 106
% 0.14/0.62 % ...number of literals in the above : 157
% 0.14/0.62 % Current number of archived formulas : 0
% 0.14/0.62 % Current number of archived clauses : 63
% 0.14/0.62 % Clause-clause subsumption calls (NU) : 898
% 0.14/0.62 % Rec. Clause-clause subsumption calls : 702
% 0.14/0.62 % Non-unit clause-clause subsumptions : 0
% 0.14/0.62 % Unit Clause-clause subsumption calls : 14
% 0.14/0.62 % Rewrite failures with RHS unbound : 0
% 0.14/0.62 % BW rewrite match attempts : 1
% 0.14/0.62 % BW rewrite match successes : 1
% 0.14/0.62 % Condensation attempts : 0
% 0.14/0.62 % Condensation successes : 0
% 0.14/0.62 % Termbank termtop insertions : 7335
% 0.14/0.62 % Search garbage collected termcells : 148
% 0.14/0.62
% 0.14/0.62 % -------------------------------------------------
% 0.14/0.62 % User time : 0.016 s
% 0.14/0.62 % System time : 0.002 s
% 0.14/0.62 % Total time : 0.018 s
% 0.14/0.62 % Maximum resident set size: 3736 pages
% 0.14/0.62
% 0.14/0.62 % -------------------------------------------------
% 0.14/0.62 % User time : 0.066 s
% 0.14/0.62 % System time : 0.021 s
% 0.14/0.62 % Total time : 0.087 s
% 0.14/0.62 % Maximum resident set size: 4864 pages
% 0.14/0.62 % E exiting
%------------------------------------------------------------------------------