%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA045-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:02:52 PM UTC 2026
% Result : Unsatisfiable 2.18s 0.91s
% Output : CNFRefutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 18 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 28 ( 4 equ; 13 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 22 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(cls_Ring__and__Field_Omult__cancel__left1_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = c_times(c_0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__left1_1) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_0,c_times(X1,c_HOL_Oabs(v_g(v_x(X1)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_0_5,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_6,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_7,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = c_times(c_0,X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_Ring__and__Field_Omult__cancel__left1_1]) ).
cnf(c_0_8,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
c_0_5 ).
cnf(c_0_9,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
c_0_6 ).
cnf(c_0_10,negated_conjecture,
~ c_lessequals(c_0,c_times(X1,c_HOL_Oabs(v_g(v_x(X1)),t_b),t_b),t_b),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_11,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = c_times(c_0,X2,X1) ),
c_0_7 ).
cnf(c_0_12,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_13,plain,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ c_lessequals(c_0,c_times(X1,c_HOL_Oabs(v_g(v_x(X1)),t_b),t_b),t_b),
c_0_10 ).
cnf(c_0_15,negated_conjecture,
c_times(c_0,X1,t_b) = c_0,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
c_lessequals(X1,X1,t_b),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA045-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 13:26:02 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 2.18/0.91 % Version: 3.5.1
% 2.18/0.91 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.18/0.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/0.91 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.18/0.91 % Starting new_bool_3 with 300s (1) cores
% 2.18/0.91 % Starting new_bool_1 with 300s (1) cores
% 2.18/0.91 % Starting sh5l with 300s (1) cores
% 2.18/0.91 % new_bool_3 with pid 3579479 completed with status 0
% 2.18/0.91 % Result found by new_bool_3
% 2.18/0.91 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.18/0.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/0.91 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.18/0.91 % Starting new_bool_3 with 300s (1) cores
% 2.18/0.91 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.18/0.91 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.18/0.91 % Search class: FGHSM-SSLM32-MFFFFFNN
% 2.18/0.91 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.18/0.91 % Starting SubtermCWHack with 28s (1) cores
% 2.18/0.91 % SubtermCWHack with pid 3579482 completed with status 0
% 2.18/0.91 % Result found by SubtermCWHack
% 2.18/0.91 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.18/0.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/0.91 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.18/0.91 % Starting new_bool_3 with 300s (1) cores
% 2.18/0.91 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.18/0.91 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.18/0.91 % Search class: FGHSM-SSLM32-MFFFFFNN
% 2.18/0.91 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.18/0.91 % Starting SubtermCWHack with 28s (1) cores
% 2.18/0.91 % Preprocessing time : 0.012 s
% 2.18/0.91
% 2.18/0.91 % Proof found!
% 2.18/0.91 % SZS status Unsatisfiable
% 2.18/0.91 % SZS output start CNFRefutation
% See solution above
% 2.18/0.91 % Parsed axioms : 2784
% 2.18/0.91 % Removed by relevancy pruning/SinE : 1668
% 2.18/0.91 % Initial clauses : 1116
% 2.18/0.91 % Removed in clause preprocessing : 0
% 2.18/0.91 % Initial clauses in saturation : 1116
% 2.18/0.91 % Processed clauses : 5852
% 2.18/0.91 % ...of these trivial : 46
% 2.18/0.91 % ...subsumed : 4064
% 2.18/0.91 % ...remaining for further processing : 1742
% 2.18/0.91 % Other redundant clauses eliminated : 190
% 2.18/0.91 % Clauses deleted for lack of memory : 0
% 2.18/0.91 % Backward-subsumed : 98
% 2.18/0.91 % Backward-rewritten : 127
% 2.18/0.91 % Generated clauses : 17538
% 2.18/0.91 % ...of the previous two non-redundant : 13414
% 2.18/0.91 % ...aggressively subsumed : 0
% 2.18/0.91 % Contextual simplify-reflections : 18
% 2.18/0.91 % Paramodulations : 17335
% 2.18/0.91 % Factorizations : 3
% 2.18/0.91 % NegExts : 0
% 2.18/0.91 % Equation resolutions : 200
% 2.18/0.91 % Disequality decompositions : 0
% 2.18/0.91 % Total rewrite steps : 10152
% 2.18/0.91 % ...of those cached : 9453
% 2.18/0.91 % Propositional unsat checks : 0
% 2.18/0.91 % Propositional check models : 0
% 2.18/0.91 % Propositional check unsatisfiable : 0
% 2.18/0.91 % Propositional clauses : 0
% 2.18/0.91 % Propositional clauses after purity: 0
% 2.18/0.91 % Propositional unsat core size : 0
% 2.18/0.91 % Propositional preprocessing time : 0.000
% 2.18/0.91 % Propositional encoding time : 0.000
% 2.18/0.91 % Propositional solver time : 0.000
% 2.18/0.91 % Success case prop preproc time : 0.000
% 2.18/0.91 % Success case prop encoding time : 0.000
% 2.18/0.91 % Success case prop solver time : 0.000
% 2.18/0.91 % Current number of processed clauses : 1517
% 2.18/0.91 % Positive orientable unit clauses : 243
% 2.18/0.91 % Positive unorientable unit clauses: 6
% 2.18/0.91 % Negative unit clauses : 117
% 2.18/0.91 % Non-unit-clauses : 1151
% 2.18/0.91 % Current number of unprocessed clauses: 8290
% 2.18/0.91 % ...number of literals in the above : 25996
% 2.18/0.91 % Current number of archived formulas : 0
% 2.18/0.91 % Current number of archived clauses : 225
% 2.18/0.91 % Clause-clause subsumption calls (NU) : 473991
% 2.18/0.91 % Rec. Clause-clause subsumption calls : 373446
% 2.18/0.91 % Non-unit clause-clause subsumptions : 1483
% 2.18/0.91 % Unit Clause-clause subsumption calls : 5096
% 2.18/0.91 % Rewrite failures with RHS unbound : 0
% 2.18/0.91 % BW rewrite match attempts : 343
% 2.18/0.91 % BW rewrite match successes : 55
% 2.18/0.91 % Condensation attempts : 0
% 2.18/0.91 % Condensation successes : 0
% 2.18/0.91 % Termbank termtop insertions : 262105
% 2.18/0.91 % Search garbage collected termcells : 6563
% 2.18/0.91
% 2.18/0.91 % -------------------------------------------------
% 2.18/0.91 % User time : 0.399 s
% 2.18/0.91 % System time : 0.020 s
% 2.18/0.91 % Total time : 0.419 s
% 2.18/0.91 % Maximum resident set size: 6968 pages
% 2.18/0.91
% 2.18/0.91 % -------------------------------------------------
% 2.18/0.91 % User time : 0.451 s
% 2.18/0.91 % System time : 0.026 s
% 2.18/0.91 % Total time : 0.477 s
% 2.18/0.91 % Maximum resident set size: 6656 pages
% 2.18/0.91 % E exiting
%------------------------------------------------------------------------------