%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV675-1 : 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 : n004.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 02:59:44 PM UTC 2026
% Result : Unsatisfiable 0.41s 0.67s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 6 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_le__0__eq_0,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__0__eq_0) ).
cnf(cls_nat_Osimps_I3_J_0,axiom,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat_Osimps_I3_J_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_3,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(fof_simplification,[status(thm)],[cls_le__0__eq_0]) ).
cnf(c_0_4,plain,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(fof_simplification,[status(thm)],[cls_nat_Osimps_I3_J_0]) ).
cnf(c_0_5,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_3 ).
cnf(c_0_6,negated_conjecture,
c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
cls_conjecture_0 ).
cnf(c_0_7,plain,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
c_0_4 ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV675-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n004.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 09:18:35 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.54 Running first-order theorem proving
% 0.23/0.54 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
% 0.41/0.67 % Version: 3.5.1
% 0.41/0.67 % Preprocessing class: FMLSSMSSSSSNFFN.
% 0.41/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.67 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.41/0.67 % Starting new_bool_3 with 600s (2) cores
% 0.41/0.67 % Starting new_bool_1 with 600s (2) cores
% 0.41/0.67 % Starting sh5l with 300s (1) cores
% 0.41/0.67 % new_bool_1 with pid 2794723 completed with status 0
% 0.41/0.67 % Result found by new_bool_1
% 0.41/0.67 % Preprocessing class: FMLSSMSSSSSNFFN.
% 0.41/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.67 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.41/0.67 % Starting new_bool_3 with 600s (2) cores
% 0.41/0.67 % Starting new_bool_1 with 600s (2) cores
% 0.41/0.67 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.41/0.67 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.41/0.67 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.41/0.67 % Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.41/0.67 % Starting SubtermCWHack with 55s (1) cores
% 0.41/0.67 % Starting new_bool_1 with 61s (1) cores
% 0.41/0.67 % SubtermCWHack with pid 2794725 completed with status 0
% 0.41/0.67 % Result found by SubtermCWHack
% 0.41/0.67 % Preprocessing class: FMLSSMSSSSSNFFN.
% 0.41/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.67 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.41/0.67 % Starting new_bool_3 with 600s (2) cores
% 0.41/0.67 % Starting new_bool_1 with 600s (2) cores
% 0.41/0.67 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.41/0.67 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.41/0.67 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.41/0.67 % Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.41/0.67 % Starting SubtermCWHack with 55s (1) cores
% 0.41/0.67 % Preprocessing time : 0.014 s
% 0.41/0.67
% 0.41/0.67 % Proof found!
% 0.41/0.67 % SZS status Unsatisfiable
% 0.41/0.67 % SZS output start CNFRefutation
% See solution above
% 0.41/0.67 % Parsed axioms : 1389
% 0.41/0.67 % Removed by relevancy pruning/SinE : 634
% 0.41/0.67 % Initial clauses : 755
% 0.41/0.67 % Removed in clause preprocessing : 0
% 0.41/0.67 % Initial clauses in saturation : 755
% 0.41/0.67 % Processed clauses : 103
% 0.41/0.67 % ...of these trivial : 13
% 0.41/0.67 % ...subsumed : 15
% 0.41/0.67 % ...remaining for further processing : 75
% 0.41/0.67 % Other redundant clauses eliminated : 0
% 0.41/0.67 % Clauses deleted for lack of memory : 0
% 0.41/0.67 % Backward-subsumed : 0
% 0.41/0.67 % Backward-rewritten : 0
% 0.41/0.67 % Generated clauses : 69
% 0.41/0.67 % ...of the previous two non-redundant : 30
% 0.41/0.67 % ...aggressively subsumed : 0
% 0.41/0.67 % Contextual simplify-reflections : 0
% 0.41/0.67 % Paramodulations : 66
% 0.41/0.67 % Factorizations : 2
% 0.41/0.67 % NegExts : 0
% 0.41/0.67 % Equation resolutions : 1
% 0.41/0.67 % Disequality decompositions : 0
% 0.41/0.67 % Total rewrite steps : 55
% 0.41/0.67 % ...of those cached : 29
% 0.41/0.67 % Propositional unsat checks : 0
% 0.41/0.67 % Propositional check models : 0
% 0.41/0.67 % Propositional check unsatisfiable : 0
% 0.41/0.67 % Propositional clauses : 0
% 0.41/0.67 % Propositional clauses after purity: 0
% 0.41/0.67 % Propositional unsat core size : 0
% 0.41/0.67 % Propositional preprocessing time : 0.000
% 0.41/0.67 % Propositional encoding time : 0.000
% 0.41/0.67 % Propositional solver time : 0.000
% 0.41/0.67 % Success case prop preproc time : 0.000
% 0.41/0.67 % Success case prop encoding time : 0.000
% 0.41/0.67 % Success case prop solver time : 0.000
% 0.41/0.67 % Current number of processed clauses : 75
% 0.41/0.67 % Positive orientable unit clauses : 42
% 0.41/0.67 % Positive unorientable unit clauses: 0
% 0.41/0.67 % Negative unit clauses : 9
% 0.41/0.67 % Non-unit-clauses : 24
% 0.41/0.67 % Current number of unprocessed clauses: 682
% 0.41/0.67 % ...number of literals in the above : 2452
% 0.41/0.67 % Current number of archived formulas : 0
% 0.41/0.67 % Current number of archived clauses : 0
% 0.41/0.67 % Clause-clause subsumption calls (NU) : 90
% 0.41/0.67 % Rec. Clause-clause subsumption calls : 85
% 0.41/0.67 % Non-unit clause-clause subsumptions : 4
% 0.41/0.67 % Unit Clause-clause subsumption calls : 11
% 0.41/0.67 % Rewrite failures with RHS unbound : 0
% 0.41/0.67 % BW rewrite match attempts : 10
% 0.41/0.67 % BW rewrite match successes : 0
% 0.41/0.67 % Condensation attempts : 0
% 0.41/0.67 % Condensation successes : 0
% 0.41/0.67 % Termbank termtop insertions : 40001
% 0.41/0.67 % Search garbage collected termcells : 3748
% 0.41/0.67
% 0.41/0.67 % -------------------------------------------------
% 0.41/0.67 % User time : 0.033 s
% 0.41/0.67 % System time : 0.008 s
% 0.41/0.67 % Total time : 0.041 s
% 0.41/0.67 % Maximum resident set size: 5620 pages
% 0.41/0.67
% 0.41/0.67 % -------------------------------------------------
% 0.41/0.67 % User time : 0.118 s
% 0.41/0.67 % System time : 0.020 s
% 0.41/0.67 % Total time : 0.138 s
% 0.41/0.67 % Maximum resident set size: 5888 pages
% 0.41/0.67 % E exiting
%------------------------------------------------------------------------------