%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ANA013-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:03:03 PM UTC 2026
% Result : Unsatisfiable 6.60s 1.71s
% Output : CNFRefutation 6.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 14 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 21 ( 0 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_0_4,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Oorder__class_Oaxioms__1_0]) ).
cnf(c_0_5,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_44]) ).
cnf(c_0_6,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
c_0_4 ).
cnf(c_0_7,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
c_0_5 ).
cnf(c_0_8,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_9,plain,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_11,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_c,t_b),c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
c_0_8 ).
cnf(c_0_12,negated_conjecture,
c_lessequals(X1,X1,t_b),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_11,c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA013-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n026.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 13:26:06 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.53 Running first-order theorem proving
% 0.18/0.53 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
% 6.60/1.71 % Version: 3.5.1
% 6.60/1.71 % Preprocessing class: FMLMSMSMSSSNFFN.
% 6.60/1.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.60/1.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.60/1.71 % Starting new_bool_3 with 300s (1) cores
% 6.60/1.71 % Starting new_bool_1 with 300s (1) cores
% 6.60/1.71 % Starting sh5l with 300s (1) cores
% 6.60/1.71 % new_bool_1 with pid 2373568 completed with status 0
% 6.60/1.71 % Result found by new_bool_1
% 6.60/1.71 % Preprocessing class: FMLMSMSMSSSNFFN.
% 6.60/1.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.60/1.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.60/1.71 % Starting new_bool_3 with 300s (1) cores
% 6.60/1.71 % Starting new_bool_1 with 300s (1) cores
% 6.60/1.71 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 6.60/1.71 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.60/1.71 % Search class: FGHSM-SSLM32-MFFFFFNN
% 6.60/1.71 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 6.60/1.71 % Starting SubtermCWHack with 28s (1) cores
% 6.60/1.71 % SubtermCWHack with pid 2373570 completed with status 0
% 6.60/1.71 % Result found by SubtermCWHack
% 6.60/1.71 % Preprocessing class: FMLMSMSMSSSNFFN.
% 6.60/1.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.60/1.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.60/1.71 % Starting new_bool_3 with 300s (1) cores
% 6.60/1.71 % Starting new_bool_1 with 300s (1) cores
% 6.60/1.71 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 6.60/1.71 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.60/1.71 % Search class: FGHSM-SSLM32-MFFFFFNN
% 6.60/1.71 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 6.60/1.71 % Starting SubtermCWHack with 28s (1) cores
% 6.60/1.71 % Preprocessing time : 0.019 s
% 6.60/1.71
% 6.60/1.71 % Proof found!
% 6.60/1.71 % SZS status Unsatisfiable
% 6.60/1.71 % SZS output start CNFRefutation
% See solution above
% 6.60/1.71 % Parsed axioms : 2785
% 6.60/1.71 % Removed by relevancy pruning/SinE : 1668
% 6.60/1.71 % Initial clauses : 1117
% 6.60/1.71 % Removed in clause preprocessing : 0
% 6.60/1.71 % Initial clauses in saturation : 1117
% 6.60/1.71 % Processed clauses : 7161
% 6.60/1.71 % ...of these trivial : 59
% 6.60/1.71 % ...subsumed : 5162
% 6.60/1.71 % ...remaining for further processing : 1940
% 6.60/1.71 % Other redundant clauses eliminated : 230
% 6.60/1.71 % Clauses deleted for lack of memory : 0
% 6.60/1.71 % Backward-subsumed : 112
% 6.60/1.71 % Backward-rewritten : 137
% 6.60/1.71 % Generated clauses : 25393
% 6.60/1.71 % ...of the previous two non-redundant : 19806
% 6.60/1.71 % ...aggressively subsumed : 0
% 6.60/1.71 % Contextual simplify-reflections : 16
% 6.60/1.71 % Paramodulations : 25150
% 6.60/1.71 % Factorizations : 3
% 6.60/1.71 % NegExts : 0
% 6.60/1.71 % Equation resolutions : 240
% 6.60/1.71 % Disequality decompositions : 0
% 6.60/1.71 % Total rewrite steps : 16322
% 6.60/1.71 % ...of those cached : 15453
% 6.60/1.71 % Propositional unsat checks : 0
% 6.60/1.71 % Propositional check models : 0
% 6.60/1.71 % Propositional check unsatisfiable : 0
% 6.60/1.71 % Propositional clauses : 0
% 6.60/1.71 % Propositional clauses after purity: 0
% 6.60/1.71 % Propositional unsat core size : 0
% 6.60/1.71 % Propositional preprocessing time : 0.000
% 6.60/1.71 % Propositional encoding time : 0.000
% 6.60/1.71 % Propositional solver time : 0.000
% 6.60/1.71 % Success case prop preproc time : 0.000
% 6.60/1.71 % Success case prop encoding time : 0.000
% 6.60/1.71 % Success case prop solver time : 0.000
% 6.60/1.71 % Current number of processed clauses : 1691
% 6.60/1.71 % Positive orientable unit clauses : 260
% 6.60/1.71 % Positive unorientable unit clauses: 6
% 6.60/1.71 % Negative unit clauses : 124
% 6.60/1.71 % Non-unit-clauses : 1301
% 6.60/1.71 % Current number of unprocessed clauses: 13329
% 6.60/1.71 % ...number of literals in the above : 46671
% 6.60/1.71 % Current number of archived formulas : 0
% 6.60/1.71 % Current number of archived clauses : 249
% 6.60/1.71 % Clause-clause subsumption calls (NU) : 644025
% 6.60/1.71 % Rec. Clause-clause subsumption calls : 364873
% 6.60/1.71 % Non-unit clause-clause subsumptions : 1735
% 6.60/1.71 % Unit Clause-clause subsumption calls : 5544
% 6.60/1.71 % Rewrite failures with RHS unbound : 0
% 6.60/1.71 % BW rewrite match attempts : 608
% 6.60/1.71 % BW rewrite match successes : 148
% 6.60/1.71 % Condensation attempts : 0
% 6.60/1.71 % Condensation successes : 0
% 6.60/1.71 % Termbank termtop insertions : 398742
% 6.60/1.71 % Search garbage collected termcells : 6564
% 6.60/1.71
% 6.60/1.71 % -------------------------------------------------
% 6.60/1.71 % User time : 0.954 s
% 6.60/1.71 % System time : 0.036 s
% 6.60/1.71 % Total time : 0.990 s
% 6.60/1.71 % Maximum resident set size: 6916 pages
% 6.60/1.71
% 6.60/1.71 % -------------------------------------------------
% 6.60/1.71 % User time : 1.046 s
% 6.60/1.71 % System time : 0.048 s
% 6.60/1.71 % Total time : 1.094 s
% 6.60/1.71 % Maximum resident set size: 6400 pages
% 6.60/1.71 % E exiting
%------------------------------------------------------------------------------