%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 03:51:42 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 19 ( 8 unt; 0 nHn; 13 RR)
% Number of literals : 73 ( 0 equ; 63 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 : 66 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p',sos_05) ).
cnf(sos_04,axiom,
eq(f(X1),a0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
cnf(sos_01,axiom,
le(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
cnf(sos_03,axiom,
( ~ le(max(X1,X2),X3)
| le(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
cnf(c_0_4,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_5,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_4 ).
cnf(c_0_6,axiom,
eq(f(X1),a0),
sos_04 ).
cnf(c_0_7,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_5,c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6])]) ).
cnf(c_0_8,axiom,
le(X1,X1),
sos_01 ).
cnf(c_0_9,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_7,c_0_8]) ).
cnf(c_0_10,plain,
( ~ le(max(X1,X2),X3)
| le(X2,X3) ),
inference(fof_simplification,[status(thm)],[sos_03]) ).
cnf(c_0_11,plain,
( ~ le(s(X5),X4)
| ~ le(s(X4),X3)
| ~ le(s(X3),X1)
| ~ le(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_12,plain,
( ~ le(max(X1,X2),X3)
| le(X2,X3) ),
c_0_10 ).
cnf(c_0_13,plain,
( ~ le(s(X4),X3)
| ~ le(s(X3),X1)
| ~ le(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_14,plain,
le(X1,max(X2,X1)),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_15,plain,
( ~ le(s(X3),X1)
| ~ le(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
~ le(s(X1),X2),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_17,plain,
le(X1,max(X2,max(X3,X1))),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_18,plain,
$false,
inference(spm,[status(thm)],[c_0_16,c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 12:02:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 0.09/0.41 % Version: 3.5.1
% 0.09/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.41 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.41 % Starting sh5l with 300s (1) cores
% 0.09/0.41 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1031511 completed with status 0
% 0.09/0.41 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.09/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.41 % No SInE strategy applied
% 0.09/0.41 % Search class: FHHNS-FFSF21-SFFFFFNN
% 0.09/0.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.41 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.09/0.41 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.09/0.41 % Starting new_bool_3 with 136s (1) cores
% 0.09/0.41 % Starting new_bool_1 with 136s (1) cores
% 0.09/0.41 % new_bool_1 with pid 1031522 completed with status 0
% 0.09/0.41 % Result found by new_bool_1
% 0.09/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.41 % No SInE strategy applied
% 0.09/0.41 % Search class: FHHNS-FFSF21-SFFFFFNN
% 0.09/0.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.41 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.09/0.41 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.09/0.41 % Starting new_bool_3 with 136s (1) cores
% 0.09/0.41 % Starting new_bool_1 with 136s (1) cores
% 0.09/0.41 % Preprocessing time : 0.001 s
% 0.09/0.41 % Presaturation interreduction done
% 0.09/0.41
% 0.09/0.41 % Proof found!
% 0.09/0.41 % SZS status Unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation
% See solution above
% 0.09/0.41 % Parsed axioms : 5
% 0.09/0.41 % Removed by relevancy pruning/SinE : 0
% 0.09/0.41 % Initial clauses : 5
% 0.09/0.41 % Removed in clause preprocessing : 0
% 0.09/0.41 % Initial clauses in saturation : 5
% 0.09/0.41 % Processed clauses : 19
% 0.09/0.41 % ...of these trivial : 0
% 0.09/0.41 % ...subsumed : 0
% 0.09/0.41 % ...remaining for further processing : 19
% 0.09/0.41 % Other redundant clauses eliminated : 0
% 0.09/0.41 % Clauses deleted for lack of memory : 0
% 0.09/0.41 % Backward-subsumed : 5
% 0.09/0.41 % Backward-rewritten : 0
% 0.09/0.41 % Generated clauses : 28
% 0.09/0.41 % ...of the previous two non-redundant : 23
% 0.09/0.41 % ...aggressively subsumed : 0
% 0.09/0.41 % Contextual simplify-reflections : 0
% 0.09/0.41 % Paramodulations : 28
% 0.09/0.41 % Factorizations : 0
% 0.09/0.41 % NegExts : 0
% 0.09/0.41 % Equation resolutions : 0
% 0.09/0.41 % Disequality decompositions : 0
% 0.09/0.41 % Total rewrite steps : 7
% 0.09/0.41 % ...of those cached : 0
% 0.09/0.41 % Propositional unsat checks : 0
% 0.09/0.41 % Propositional check models : 0
% 0.09/0.41 % Propositional check unsatisfiable : 0
% 0.09/0.41 % Propositional clauses : 0
% 0.09/0.41 % Propositional clauses after purity: 0
% 0.09/0.41 % Propositional unsat core size : 0
% 0.09/0.41 % Propositional preprocessing time : 0.000
% 0.09/0.41 % Propositional encoding time : 0.000
% 0.09/0.41 % Propositional solver time : 0.000
% 0.09/0.41 % Success case prop preproc time : 0.000
% 0.09/0.41 % Success case prop encoding time : 0.000
% 0.09/0.41 % Success case prop solver time : 0.000
% 0.09/0.41 % Current number of processed clauses : 9
% 0.09/0.41 % Positive orientable unit clauses : 6
% 0.09/0.41 % Positive unorientable unit clauses: 0
% 0.09/0.41 % Negative unit clauses : 1
% 0.09/0.41 % Non-unit-clauses : 2
% 0.09/0.41 % Current number of unprocessed clauses: 13
% 0.09/0.41 % ...number of literals in the above : 17
% 0.09/0.41 % Current number of archived formulas : 0
% 0.09/0.41 % Current number of archived clauses : 10
% 0.09/0.41 % Clause-clause subsumption calls (NU) : 8
% 0.09/0.41 % Rec. Clause-clause subsumption calls : 8
% 0.09/0.41 % Non-unit clause-clause subsumptions : 4
% 0.09/0.41 % Unit Clause-clause subsumption calls : 9
% 0.09/0.41 % Rewrite failures with RHS unbound : 0
% 0.09/0.41 % BW rewrite match attempts : 2
% 0.09/0.41 % BW rewrite match successes : 0
% 0.09/0.41 % Condensation attempts : 0
% 0.09/0.41 % Condensation successes : 0
% 0.09/0.41 % Termbank termtop insertions : 654
% 0.09/0.41 % Search garbage collected termcells : 41
% 0.09/0.41
% 0.09/0.41 % -------------------------------------------------
% 0.09/0.41 % User time : 0.002 s
% 0.09/0.41 % System time : 0.003 s
% 0.09/0.41 % Total time : 0.005 s
% 0.09/0.41 % Maximum resident set size: 3636 pages
% 0.09/0.41
% 0.09/0.41 % -------------------------------------------------
% 0.09/0.41 % User time : 0.010 s
% 0.09/0.41 % System time : 0.015 s
% 0.09/0.41 % Total time : 0.025 s
% 0.09/0.41 % Maximum resident set size: 4864 pages
% 0.09/0.41 % E exiting
%------------------------------------------------------------------------------