%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA024-1 : 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 : n006.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 12:02:47 PM UTC 2026
% Result : Unsatisfiable 12.01s 2.59s
% Output : CNFRefutation 12.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 10 unt; 0 nHn; 18 RR)
% Number of literals : 39 ( 3 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_OrderedGroup_Ocompare__rls__8_1,axiom,
( ~ c_lessequals(X2,c_plus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_lessequals(c_minus(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(cls_OrderedGroup_Ocompare__rls__10_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| X2 = c_plus(c_minus(X2,X3,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_k(X1),v_f(X1),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(c_0_7,negated_conjecture,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_8,plain,
( ~ c_lessequals(X2,c_plus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_lessequals(c_minus(X2,X4,X1),X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ocompare__rls__8_1]) ).
cnf(c_0_9,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4]) ).
cnf(c_0_10,negated_conjecture,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
c_0_7 ).
cnf(c_0_11,plain,
( ~ c_lessequals(X2,c_plus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_lessequals(c_minus(X2,X4,X1),X3,X1) ),
c_0_8 ).
cnf(c_0_12,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| X2 = c_plus(c_minus(X2,X3,X1),X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ocompare__rls__10_0]) ).
cnf(c_0_13,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
c_0_9 ).
cnf(c_0_14,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_15,negated_conjecture,
( ~ c_lessequals(v_k(v_x),c_plus(c_minus(v_f(v_x),v_g(v_x),t_b),v_g(v_x),t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| X2 = c_plus(c_minus(X2,X3,X1),X3,X1) ),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
c_lessequals(v_k(X1),v_f(X1),t_b),
cls_conjecture_1 ).
cnf(c_0_18,negated_conjecture,
class_OrderedGroup_Oab__group__add(t_b),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54]) ).
cnf(c_0_20,negated_conjecture,
~ class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_21,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_19 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ANA024-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n006.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 13:24:16 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.54 Running first-order theorem proving
% 0.24/0.54 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
% 12.01/2.59 % Version: 3.5.1
% 12.01/2.59 % Preprocessing class: FMLMSMSMSSSNFFN.
% 12.01/2.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.01/2.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.01/2.59 % Starting new_bool_3 with 300s (1) cores
% 12.01/2.59 % Starting new_bool_1 with 300s (1) cores
% 12.01/2.59 % Starting sh5l with 300s (1) cores
% 12.01/2.59 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2939421 completed with status 0
% 12.01/2.59 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 12.01/2.59 % Preprocessing class: FMLMSMSMSSSNFFN.
% 12.01/2.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.01/2.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.01/2.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.01/2.59 % No SInE strategy applied
% 12.01/2.59 % Search class: FGHSM-SMLM32-DFFFFFNN
% 12.01/2.59 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 12.01/2.59 % Starting SubtermCWHack with 136s (1) cores
% 12.01/2.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 12.01/2.59 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 12.01/2.59 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 12.01/2.59 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 12.01/2.59 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 2939431 completed with status 0
% 12.01/2.59 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 12.01/2.59 % Preprocessing class: FMLMSMSMSSSNFFN.
% 12.01/2.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.01/2.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.01/2.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.01/2.59 % No SInE strategy applied
% 12.01/2.59 % Search class: FGHSM-SMLM32-DFFFFFNN
% 12.01/2.59 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 12.01/2.59 % Starting SubtermCWHack with 136s (1) cores
% 12.01/2.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 12.01/2.59 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 12.01/2.59 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 12.01/2.59 % Preprocessing time : 0.046 s
% 12.01/2.59
% 12.01/2.59 % Proof found!
% 12.01/2.59 % SZS status Unsatisfiable
% 12.01/2.59 % SZS output start CNFRefutation
% See solution above
% 12.01/2.59 % Parsed axioms : 2809
% 12.01/2.59 % Removed by relevancy pruning/SinE : 0
% 12.01/2.59 % Initial clauses : 2809
% 12.01/2.59 % Removed in clause preprocessing : 9
% 12.01/2.59 % Initial clauses in saturation : 2800
% 12.01/2.59 % Processed clauses : 2952
% 12.01/2.59 % ...of these trivial : 25
% 12.01/2.59 % ...subsumed : 175
% 12.01/2.59 % ...remaining for further processing : 2752
% 12.01/2.59 % Other redundant clauses eliminated : 216
% 12.01/2.59 % Clauses deleted for lack of memory : 0
% 12.01/2.59 % Backward-subsumed : 4
% 12.01/2.59 % Backward-rewritten : 13
% 12.01/2.59 % Generated clauses : 28615
% 12.01/2.59 % ...of the previous two non-redundant : 23828
% 12.01/2.59 % ...aggressively subsumed : 0
% 12.01/2.59 % Contextual simplify-reflections : 1
% 12.01/2.59 % Paramodulations : 28349
% 12.01/2.59 % Factorizations : 1
% 12.01/2.59 % NegExts : 0
% 12.01/2.59 % Equation resolutions : 265
% 12.01/2.59 % Disequality decompositions : 0
% 12.01/2.59 % Total rewrite steps : 12355
% 12.01/2.59 % ...of those cached : 10892
% 12.01/2.59 % Propositional unsat checks : 0
% 12.01/2.59 % Propositional check models : 0
% 12.01/2.59 % Propositional check unsatisfiable : 0
% 12.01/2.59 % Propositional clauses : 0
% 12.01/2.59 % Propositional clauses after purity: 0
% 12.01/2.59 % Propositional unsat core size : 0
% 12.01/2.59 % Propositional preprocessing time : 0.000
% 12.01/2.59 % Propositional encoding time : 0.000
% 12.01/2.59 % Propositional solver time : 0.000
% 12.01/2.59 % Success case prop preproc time : 0.000
% 12.01/2.59 % Success case prop encoding time : 0.000
% 12.01/2.59 % Success case prop solver time : 0.000
% 12.01/2.59 % Current number of processed clauses : 2735
% 12.01/2.59 % Positive orientable unit clauses : 582
% 12.01/2.59 % Positive unorientable unit clauses: 16
% 12.01/2.59 % Negative unit clauses : 52
% 12.01/2.59 % Non-unit-clauses : 2085
% 12.01/2.59 % Current number of unprocessed clauses: 23676
% 12.01/2.59 % ...number of literals in the above : 86654
% 12.01/2.59 % Current number of archived formulas : 0
% 12.01/2.59 % Current number of archived clauses : 25
% 12.01/2.59 % Clause-clause subsumption calls (NU) : 1640361
% 12.01/2.59 % Rec. Clause-clause subsumption calls : 933008
% 12.01/2.59 % Non-unit clause-clause subsumptions : 81
% 12.01/2.59 % Unit Clause-clause subsumption calls : 92223
% 12.01/2.59 % Rewrite failures with RHS unbound : 0
% 12.01/2.59 % BW rewrite match attempts : 411
% 12.01/2.59 % BW rewrite match successes : 34
% 12.01/2.59 % Condensation attempts : 0
% 12.01/2.59 % Condensation successes : 0
% 12.01/2.59 % Termbank termtop insertions : 533610
% 12.01/2.59 % Search garbage collected termcells : 4116
% 12.01/2.59
% 12.01/2.59 % -------------------------------------------------
% 12.01/2.59 % User time : 1.702 s
% 12.01/2.59 % System time : 0.077 s
% 12.01/2.59 % Total time : 1.779 s
% 12.01/2.59 % Maximum resident set size: 8264 pages
% 12.01/2.59
% 12.01/2.59 % -------------------------------------------------
% 12.01/2.59 % User time : 7.712 s
% 12.01/2.59 % System time : 0.303 s
% 12.01/2.59 % Total time : 8.015 s
% 12.01/2.59 % Maximum resident set size: 6400 pages
% 12.01/2.59 % E exiting
%------------------------------------------------------------------------------