%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV689-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 02:59:45 PM UTC 2026
% Result : Unsatisfiable 0.34s 0.72s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 9 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,v_k,tc_nat),v_n,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_less__imp__diff__less_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__imp__diff__less_0) ).
cnf(cls_assms_0,axiom,
c_HOL_Oord__class_Oless(v_i,v_n,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_0) ).
cnf(c_0_3,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,v_k,tc_nat),v_n,tc_nat),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_4,plain,
( ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) ),
inference(fof_simplification,[status(thm)],[cls_less__imp__diff__less_0]) ).
cnf(c_0_5,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,v_k,tc_nat),v_n,tc_nat),
c_0_3 ).
cnf(c_0_6,plain,
( ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) ),
c_0_4 ).
cnf(c_0_7,axiom,
c_HOL_Oord__class_Oless(v_i,v_n,tc_nat),
cls_assms_0 ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV689-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 % Computer : n018.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Mon Sep 21 09:21:29 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.48 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.55 Running first-order theorem proving
% 0.26/0.55 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
% 0.34/0.72 % Version: 3.5.1
% 0.34/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.34/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.34/0.72 % Starting new_bool_3 with 300s (1) cores
% 0.34/0.72 % Starting new_bool_1 with 300s (1) cores
% 0.34/0.72 % Starting sh5l with 300s (1) cores
% 0.34/0.72 % new_bool_3 with pid 1541406 completed with status 0
% 0.34/0.72 % Result found by new_bool_3
% 0.34/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.34/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.34/0.72 % Starting new_bool_3 with 300s (1) cores
% 0.34/0.72 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.34/0.72 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.34/0.72 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.34/0.72 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.72 % Starting SubtermCWHack with 28s (1) cores
% 0.34/0.72 % SubtermCWHack with pid 1541409 completed with status 0
% 0.34/0.72 % Result found by SubtermCWHack
% 0.34/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.34/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.34/0.72 % Starting new_bool_3 with 300s (1) cores
% 0.34/0.72 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.34/0.72 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.34/0.72 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.34/0.72 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.72 % Starting SubtermCWHack with 28s (1) cores
% 0.34/0.72 % Preprocessing time : 0.006 s
% 0.34/0.72
% 0.34/0.72 % Proof found!
% 0.34/0.72 % SZS status Unsatisfiable
% 0.34/0.72 % SZS output start CNFRefutation
% See solution above
% 0.34/0.72 % Parsed axioms : 798
% 0.34/0.72 % Removed by relevancy pruning/SinE : 537
% 0.34/0.72 % Initial clauses : 261
% 0.34/0.72 % Removed in clause preprocessing : 0
% 0.34/0.72 % Initial clauses in saturation : 261
% 0.34/0.72 % Processed clauses : 836
% 0.34/0.72 % ...of these trivial : 82
% 0.34/0.72 % ...subsumed : 523
% 0.34/0.72 % ...remaining for further processing : 231
% 0.34/0.72 % Other redundant clauses eliminated : 18
% 0.34/0.72 % Clauses deleted for lack of memory : 0
% 0.34/0.72 % Backward-subsumed : 4
% 0.34/0.72 % Backward-rewritten : 26
% 0.34/0.72 % Generated clauses : 2423
% 0.34/0.72 % ...of the previous two non-redundant : 1857
% 0.34/0.72 % ...aggressively subsumed : 0
% 0.34/0.72 % Contextual simplify-reflections : 0
% 0.34/0.72 % Paramodulations : 2393
% 0.34/0.72 % Factorizations : 6
% 0.34/0.72 % NegExts : 0
% 0.34/0.72 % Equation resolutions : 24
% 0.34/0.72 % Disequality decompositions : 0
% 0.34/0.72 % Total rewrite steps : 951
% 0.34/0.72 % ...of those cached : 779
% 0.34/0.72 % Propositional unsat checks : 0
% 0.34/0.72 % Propositional check models : 0
% 0.34/0.72 % Propositional check unsatisfiable : 0
% 0.34/0.72 % Propositional clauses : 0
% 0.34/0.72 % Propositional clauses after purity: 0
% 0.34/0.72 % Propositional unsat core size : 0
% 0.34/0.72 % Propositional preprocessing time : 0.000
% 0.34/0.72 % Propositional encoding time : 0.000
% 0.34/0.72 % Propositional solver time : 0.000
% 0.34/0.72 % Success case prop preproc time : 0.000
% 0.34/0.72 % Success case prop encoding time : 0.000
% 0.34/0.72 % Success case prop solver time : 0.000
% 0.34/0.72 % Current number of processed clauses : 201
% 0.34/0.72 % Positive orientable unit clauses : 57
% 0.34/0.72 % Positive unorientable unit clauses: 4
% 0.34/0.72 % Negative unit clauses : 56
% 0.34/0.72 % Non-unit-clauses : 84
% 0.34/0.72 % Current number of unprocessed clauses: 1257
% 0.34/0.72 % ...number of literals in the above : 2425
% 0.34/0.72 % Current number of archived formulas : 0
% 0.34/0.72 % Current number of archived clauses : 30
% 0.34/0.72 % Clause-clause subsumption calls (NU) : 1125
% 0.34/0.72 % Rec. Clause-clause subsumption calls : 1036
% 0.34/0.72 % Non-unit clause-clause subsumptions : 121
% 0.34/0.72 % Unit Clause-clause subsumption calls : 1456
% 0.34/0.72 % Rewrite failures with RHS unbound : 0
% 0.34/0.72 % BW rewrite match attempts : 67
% 0.34/0.72 % BW rewrite match successes : 31
% 0.34/0.72 % Condensation attempts : 0
% 0.34/0.72 % Condensation successes : 0
% 0.34/0.72 % Termbank termtop insertions : 34871
% 0.34/0.72 % Search garbage collected termcells : 2201
% 0.34/0.72
% 0.34/0.72 % -------------------------------------------------
% 0.34/0.72 % User time : 0.061 s
% 0.34/0.72 % System time : 0.013 s
% 0.34/0.72 % Total time : 0.074 s
% 0.34/0.72 % Maximum resident set size: 4416 pages
% 0.34/0.72
% 0.34/0.72 % -------------------------------------------------
% 0.34/0.72 % User time : 0.098 s
% 0.34/0.72 % System time : 0.020 s
% 0.34/0.72 % Total time : 0.118 s
% 0.34/0.72 % Maximum resident set size: 5376 pages
% 0.34/0.72 % E exiting
%------------------------------------------------------------------------------