%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA009-1 : 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 : n008.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 12:02:44 PM UTC 2026
% Result : Unsatisfiable 9.22s 12.74s
% Output : CNFRefutation 9.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 13 unt; 0 nHn; 14 RR)
% Number of literals : 40 ( 4 equ; 18 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; 3 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__idom_37,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_37) ).
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/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(cls_OrderedGroup_Oadd__le__cancel__right_1,axiom,
( ~ c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| c_lessequals(c_plus(X2,X4,X1),c_plus(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__le__cancel__right_1) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Oright__minus_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X2,c_uminus(X2,X1),X1) = c_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oright__minus_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_lb(X1),v_f(X1),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_0_7,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_37]) ).
cnf(c_0_8,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_9,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| c_lessequals(c_plus(X2,X4,X1),c_plus(X3,X4,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oadd__le__cancel__right_1]) ).
cnf(c_0_10,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_7 ).
cnf(c_0_11,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_12,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X2,c_uminus(X2,X1),X1) = c_0 ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oright__minus_0]) ).
cnf(c_0_13,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
c_0_8 ).
cnf(c_0_14,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| c_lessequals(c_plus(X2,X4,X1),c_plus(X3,X4,X1),X1) ),
c_0_9 ).
cnf(c_0_15,negated_conjecture,
c_lessequals(v_lb(X1),v_f(X1),t_b),
cls_conjecture_0 ).
cnf(c_0_16,negated_conjecture,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X2,c_uminus(X2,X1),X1) = c_0 ),
c_0_12 ).
cnf(c_0_18,negated_conjecture,
class_OrderedGroup_Oab__group__add(t_b),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_19,negated_conjecture,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_20,negated_conjecture,
c_lessequals(c_plus(v_lb(X1),X2,t_b),c_plus(v_f(X1),X2,t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_21,negated_conjecture,
c_plus(X1,c_uminus(X1,t_b),t_b) = c_0,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
c_0_19 ).
cnf(c_0_23,negated_conjecture,
c_lessequals(c_0,c_plus(v_f(X1),c_uminus(v_lb(X1),t_b),t_b),t_b),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ANA009-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/10.67 % Computer : n008.cluster.edu
% 0.19/10.67 % Model : x86_64 x86_64
% 0.19/10.67 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/10.67 % Memory : 8046.5625MB
% 0.19/10.67 % OS : Linux 6.8.0-71-generic
% 0.19/10.67 % CPULimit : 300
% 0.19/10.67 % WCLimit : 300
% 0.19/10.67 % DateTime : Mon Sep 21 13:24:09 UTC 2026
% 0.19/10.68 % CPUTime :
% 0.19/10.68 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/10.75 Running first-order theorem proving
% 0.23/10.75 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
% 9.22/12.74 % Version: 3.5.1
% 9.22/12.74 % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.22/12.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.22/12.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.22/12.74 % Starting new_bool_3 with 300s (1) cores
% 9.22/12.74 % Starting new_bool_1 with 300s (1) cores
% 9.22/12.74 % Starting sh5l with 300s (1) cores
% 9.22/12.74 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1078685 completed with status 0
% 9.22/12.74 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 9.22/12.74 % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.22/12.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.22/12.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.22/12.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.22/12.74 % No SInE strategy applied
% 9.22/12.74 % Search class: FGHSM-SMLM32-DFFFFFNN
% 9.22/12.74 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 9.22/12.74 % Starting SubtermCWHack with 136s (1) cores
% 9.22/12.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.22/12.74 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 9.22/12.74 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 9.22/12.74 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 9.22/12.74 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 1078694 completed with status 0
% 9.22/12.74 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 9.22/12.74 % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.22/12.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.22/12.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.22/12.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.22/12.74 % No SInE strategy applied
% 9.22/12.74 % Search class: FGHSM-SMLM32-DFFFFFNN
% 9.22/12.74 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 9.22/12.74 % Starting SubtermCWHack with 136s (1) cores
% 9.22/12.74 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.22/12.74 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 9.22/12.74 % Preprocessing time : 0.041 s
% 9.22/12.74
% 9.22/12.74 % Proof found!
% 9.22/12.74 % SZS status Unsatisfiable
% 9.22/12.74 % SZS output start CNFRefutation
% See solution above
% 9.22/12.74 % Parsed axioms : 2786
% 9.22/12.74 % Removed by relevancy pruning/SinE : 0
% 9.22/12.74 % Initial clauses : 2786
% 9.22/12.74 % Removed in clause preprocessing : 9
% 9.22/12.74 % Initial clauses in saturation : 2777
% 9.22/12.74 % Processed clauses : 7474
% 9.22/12.74 % ...of these trivial : 689
% 9.22/12.74 % ...subsumed : 3222
% 9.22/12.74 % ...remaining for further processing : 3563
% 9.22/12.74 % Other redundant clauses eliminated : 101
% 9.22/12.74 % Clauses deleted for lack of memory : 0
% 9.22/12.74 % Backward-subsumed : 22
% 9.22/12.74 % Backward-rewritten : 95
% 9.22/12.74 % Generated clauses : 24739
% 9.22/12.74 % ...of the previous two non-redundant : 19857
% 9.22/12.74 % ...aggressively subsumed : 0
% 9.22/12.74 % Contextual simplify-reflections : 5
% 9.22/12.74 % Paramodulations : 24574
% 9.22/12.74 % Factorizations : 7
% 9.22/12.74 % NegExts : 0
% 9.22/12.74 % Equation resolutions : 158
% 9.22/12.74 % Disequality decompositions : 0
% 9.22/12.74 % Total rewrite steps : 20016
% 9.22/12.74 % ...of those cached : 18196
% 9.22/12.74 % Propositional unsat checks : 0
% 9.22/12.74 % Propositional check models : 0
% 9.22/12.74 % Propositional check unsatisfiable : 0
% 9.22/12.74 % Propositional clauses : 0
% 9.22/12.74 % Propositional clauses after purity: 0
% 9.22/12.74 % Propositional unsat core size : 0
% 9.22/12.74 % Propositional preprocessing time : 0.000
% 9.22/12.74 % Propositional encoding time : 0.000
% 9.22/12.74 % Propositional solver time : 0.000
% 9.22/12.74 % Success case prop preproc time : 0.000
% 9.22/12.74 % Success case prop encoding time : 0.000
% 9.22/12.74 % Success case prop solver time : 0.000
% 9.22/12.74 % Current number of processed clauses : 3446
% 9.22/12.74 % Positive orientable unit clauses : 906
% 9.22/12.74 % Positive unorientable unit clauses: 8
% 9.22/12.74 % Negative unit clauses : 65
% 9.22/12.74 % Non-unit-clauses : 2467
% 9.22/12.74 % Current number of unprocessed clauses: 14917
% 9.22/12.74 % ...number of literals in the above : 35627
% 9.22/12.74 % Current number of archived formulas : 0
% 9.22/12.74 % Current number of archived clauses : 125
% 9.22/12.74 % Clause-clause subsumption calls (NU) : 2646468
% 9.22/12.74 % Rec. Clause-clause subsumption calls : 1863106
% 9.22/12.74 % Non-unit clause-clause subsumptions : 3006
% 9.22/12.74 % Unit Clause-clause subsumption calls : 143838
% 9.22/12.74 % Rewrite failures with RHS unbound : 0
% 9.22/12.74 % BW rewrite match attempts : 2017
% 9.22/12.74 % BW rewrite match successes : 57
% 9.22/12.74 % Condensation attempts : 0
% 9.22/12.74 % Condensation successes : 0
% 9.22/12.74 % Termbank termtop insertions : 489985
% 9.22/12.74 % Search garbage collected termcells : 4067
% 9.22/12.74
% 9.22/12.74 % -------------------------------------------------
% 9.22/12.74 % User time : 1.752 s
% 9.22/12.74 % System time : 0.066 s
% 9.22/12.74 % Total time : 1.818 s
% 9.22/12.74 % Maximum resident set size: 8248 pages
% 9.22/12.74
% 9.22/12.74 % -------------------------------------------------
% 9.22/12.74 % User time : 6.870 s
% 9.22/12.74 % System time : 0.233 s
% 9.22/12.74 % Total time : 7.103 s
% 9.22/12.74 % Maximum resident set size: 6400 pages
% 9.22/12.74 % E exiting
%------------------------------------------------------------------------------