%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 03:48:04 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.64s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 22 ( 8 unt; 0 nHn; 16 RR)
% Number of literals : 79 ( 0 equ; 66 neg)
% Maximal clause size : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 75 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos_02,axiom,
( ~ le(max(X1,X2),X3)
| le(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(sos_05,axiom,
( ~ le(s(X6),X7)
| ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ eq(f(X7),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
cnf(sos_03,axiom,
( ~ le(max(X1,X2),X3)
| le(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
cnf(sos_01,axiom,
le(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
cnf(sos_04,axiom,
eq(f(X1),a0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
cnf(c_0_5,plain,
( ~ le(max(X1,X2),X3)
| le(X1,X3) ),
inference(fof_simplification,[status(thm)],[sos_02]) ).
cnf(c_0_6,plain,
( ~ le(s(X6),X7)
| ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ eq(f(X7),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0) ),
inference(fof_simplification,[status(thm)],[sos_05]) ).
cnf(c_0_7,plain,
( ~ le(max(X1,X2),X3)
| le(X2,X3) ),
inference(fof_simplification,[status(thm)],[sos_03]) ).
cnf(c_0_8,plain,
( ~ le(max(X1,X2),X3)
| le(X1,X3) ),
c_0_5 ).
cnf(c_0_9,axiom,
le(X1,X1),
sos_01 ).
cnf(c_0_10,plain,
( ~ le(s(X6),X7)
| ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ eq(f(X7),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0) ),
c_0_6 ).
cnf(c_0_11,axiom,
eq(f(X1),a0),
sos_04 ).
cnf(c_0_12,plain,
( ~ le(max(X1,X2),X3)
| le(X2,X3) ),
c_0_7 ).
cnf(c_0_13,plain,
le(X1,max(X1,X2)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( ~ le(s(X7),X6)
| ~ le(s(X6),X5)
| ~ le(s(X5),X4)
| ~ le(s(X4),X3)
| ~ le(s(X3),X1)
| ~ le(s(X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_11]),c_0_11])]) ).
cnf(c_0_15,plain,
le(X1,max(max(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( ~ le(s(X6),X5)
| ~ le(s(X5),X4)
| ~ le(s(X4),X3)
| ~ le(s(X3),X1)
| ~ le(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
( ~ le(s(X5),X4)
| ~ le(s(X4),X3)
| ~ le(s(X3),X1)
| ~ le(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_18,plain,
( ~ le(s(X4),X3)
| ~ le(s(X3),X1)
| ~ le(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_19,plain,
( ~ le(s(X3),X1)
| ~ le(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_20,plain,
~ le(s(X1),X2),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_21,plain,
$false,
inference(spm,[status(thm)],[c_0_20,c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.48 % Computer : n018.cluster.edu
% 0.19/0.48 % Model : x86_64 x86_64
% 0.19/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.48 % Memory : 8046.5625MB
% 0.19/0.48 % OS : Linux 6.8.0-71-generic
% 0.19/0.48 % CPULimit : 300
% 0.19/0.48 % WCLimit : 300
% 0.19/0.49 % DateTime : Mon Sep 21 12:06:13 UTC 2026
% 0.19/0.49 % CPUTime :
% 0.19/0.49 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.59 Running first-order theorem proving
% 0.24/0.59 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.24/0.64 % Version: 3.5.1
% 0.24/0.64 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.64 % Starting sh5l with 300s (1) cores
% 0.24/0.64 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1835577 completed with status 0
% 0.24/0.64 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.24/0.64 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.64 % No SInE strategy applied
% 0.24/0.64 % Search class: FHHNS-FFSF21-SFFFFFNN
% 0.24/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.24/0.64 % Starting new_bool_3 with 136s (1) cores
% 0.24/0.64 % Starting new_bool_1 with 136s (1) cores
% 0.24/0.64 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1835582 completed with status 0
% 0.24/0.64 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.24/0.64 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.64 % No SInE strategy applied
% 0.24/0.64 % Search class: FHHNS-FFSF21-SFFFFFNN
% 0.24/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.64 % Preprocessing time : 0.002 s
% 0.24/0.64 % Presaturation interreduction done
% 0.24/0.64
% 0.24/0.64 % Proof found!
% 0.24/0.64 % SZS status Unsatisfiable
% 0.24/0.64 % SZS output start CNFRefutation
% See solution above
% 0.24/0.64 % Parsed axioms : 5
% 0.24/0.64 % Removed by relevancy pruning/SinE : 0
% 0.24/0.64 % Initial clauses : 5
% 0.24/0.64 % Removed in clause preprocessing : 0
% 0.24/0.64 % Initial clauses in saturation : 5
% 0.24/0.64 % Processed clauses : 23
% 0.24/0.64 % ...of these trivial : 0
% 0.24/0.64 % ...subsumed : 0
% 0.24/0.64 % ...remaining for further processing : 23
% 0.24/0.64 % Other redundant clauses eliminated : 0
% 0.24/0.64 % Clauses deleted for lack of memory : 0
% 0.24/0.64 % Backward-subsumed : 5
% 0.24/0.64 % Backward-rewritten : 0
% 0.24/0.64 % Generated clauses : 72
% 0.24/0.64 % ...of the previous two non-redundant : 63
% 0.24/0.64 % ...aggressively subsumed : 0
% 0.24/0.64 % Contextual simplify-reflections : 0
% 0.24/0.64 % Paramodulations : 72
% 0.24/0.64 % Factorizations : 0
% 0.24/0.64 % NegExts : 0
% 0.24/0.64 % Equation resolutions : 0
% 0.24/0.64 % Disequality decompositions : 0
% 0.24/0.64 % Total rewrite steps : 7
% 0.24/0.64 % ...of those cached : 0
% 0.24/0.64 % Propositional unsat checks : 0
% 0.24/0.64 % Propositional check models : 0
% 0.24/0.64 % Propositional check unsatisfiable : 0
% 0.24/0.64 % Propositional clauses : 0
% 0.24/0.64 % Propositional clauses after purity: 0
% 0.24/0.64 % Propositional unsat core size : 0
% 0.24/0.64 % Propositional preprocessing time : 0.000
% 0.24/0.64 % Propositional encoding time : 0.000
% 0.24/0.64 % Propositional solver time : 0.000
% 0.24/0.64 % Success case prop preproc time : 0.000
% 0.24/0.64 % Success case prop encoding time : 0.000
% 0.24/0.64 % Success case prop solver time : 0.000
% 0.24/0.64 % Current number of processed clauses : 13
% 0.24/0.64 % Positive orientable unit clauses : 10
% 0.24/0.64 % Positive unorientable unit clauses: 0
% 0.24/0.64 % Negative unit clauses : 1
% 0.24/0.64 % Non-unit-clauses : 2
% 0.24/0.64 % Current number of unprocessed clauses: 50
% 0.24/0.64 % ...number of literals in the above : 130
% 0.24/0.64 % Current number of archived formulas : 0
% 0.24/0.64 % Current number of archived clauses : 10
% 0.24/0.64 % Clause-clause subsumption calls (NU) : 8
% 0.24/0.64 % Rec. Clause-clause subsumption calls : 8
% 0.24/0.64 % Non-unit clause-clause subsumptions : 4
% 0.24/0.64 % Unit Clause-clause subsumption calls : 17
% 0.24/0.64 % Rewrite failures with RHS unbound : 0
% 0.24/0.64 % BW rewrite match attempts : 8
% 0.24/0.64 % BW rewrite match successes : 0
% 0.24/0.64 % Condensation attempts : 0
% 0.24/0.64 % Condensation successes : 0
% 0.24/0.65 % Termbank termtop insertions : 1136
% 0.24/0.65 % Search garbage collected termcells : 41
% 0.24/0.65
% 0.24/0.65 % -------------------------------------------------
% 0.24/0.65 % User time : 0.006 s
% 0.24/0.65 % System time : 0.004 s
% 0.24/0.65 % Total time : 0.010 s
% 0.24/0.65 % Maximum resident set size: 3636 pages
% 0.24/0.65
% 0.24/0.65 % -------------------------------------------------
% 0.24/0.65 % User time : 0.018 s
% 0.24/0.65 % System time : 0.017 s
% 0.24/0.65 % Total time : 0.035 s
% 0.24/0.65 % Maximum resident set size: 4864 pages
% 0.24/0.65 % E exiting
%------------------------------------------------------------------------------