%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA044-2 : 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 : 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 12:02:52 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.50s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 11 unt; 0 nHn; 21 RR)
% Number of literals : 48 ( 6 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 27 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_OrderedGroup_Oabs__of__nonneg_0,axiom,
( ~ c_lessequals(c_0,X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
( ~ c_lessequals(c_0,X3,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_0,v_l(X1,X2),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_0,v_h(X1),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c_0_8,negated_conjecture,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_9,plain,
( ~ c_lessequals(c_0,X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = X2 ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__of__nonneg_0]) ).
cnf(c_0_10,negated_conjecture,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
c_0_8 ).
cnf(c_0_11,plain,
( ~ c_lessequals(c_0,X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = X2 ),
c_0_9 ).
cnf(c_0_12,plain,
( ~ c_lessequals(c_0,X3,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X3,X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_Ring__and__Field_Omult__nonneg__nonneg_0]) ).
cnf(c_0_13,negated_conjecture,
( ~ c_lessequals(c_0,c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( ~ c_lessequals(c_0,X3,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X3,X2,X1),X1) ),
c_0_12 ).
cnf(c_0_15,negated_conjecture,
c_lessequals(c_0,v_l(X1,X2),t_b),
cls_conjecture_0 ).
cnf(c_0_16,negated_conjecture,
c_lessequals(c_0,v_h(X1),t_b),
cls_conjecture_1 ).
cnf(c_0_17,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_40]) ).
cnf(c_0_18,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_19,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_17 ).
cnf(c_0_20,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_21,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50]) ).
cnf(c_0_22,negated_conjecture,
~ class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_23,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_21 ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA044-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 13:27:09 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 0.14/0.50 % Version: 3.5.1
% 0.14/0.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.50 % Starting sh5l with 300s (1) cores
% 0.14/0.50 % new_bool_3 with pid 1085245 completed with status 0
% 0.14/0.50 % Result found by new_bool_3
% 0.14/0.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.50 % Search class: FHUSS-FFSF32-MFFFFFNN
% 0.14/0.50 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.50 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.50 % SubtermCWHack with pid 1085251 completed with status 0
% 0.14/0.50 % Result found by SubtermCWHack
% 0.14/0.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.50 % Search class: FHUSS-FFSF32-MFFFFFNN
% 0.14/0.50 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.50 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.50 % Preprocessing time : 0.002 s
% 0.14/0.50
% 0.14/0.50 % Proof found!
% 0.14/0.50 % SZS status Unsatisfiable
% 0.14/0.50 % SZS output start CNFRefutation
% See solution above
% 0.14/0.50 % Parsed axioms : 8
% 0.14/0.50 % Removed by relevancy pruning/SinE : 0
% 0.14/0.50 % Initial clauses : 8
% 0.14/0.50 % Removed in clause preprocessing : 0
% 0.14/0.50 % Initial clauses in saturation : 8
% 0.14/0.50 % Processed clauses : 11
% 0.14/0.50 % ...of these trivial : 0
% 0.14/0.50 % ...subsumed : 0
% 0.14/0.50 % ...remaining for further processing : 11
% 0.14/0.50 % Other redundant clauses eliminated : 0
% 0.14/0.50 % Clauses deleted for lack of memory : 0
% 0.14/0.50 % Backward-subsumed : 2
% 0.14/0.50 % Backward-rewritten : 0
% 0.14/0.50 % Generated clauses : 4
% 0.14/0.50 % ...of the previous two non-redundant : 3
% 0.14/0.50 % ...aggressively subsumed : 0
% 0.14/0.50 % Contextual simplify-reflections : 0
% 0.14/0.50 % Paramodulations : 4
% 0.14/0.50 % Factorizations : 0
% 0.14/0.50 % NegExts : 0
% 0.14/0.50 % Equation resolutions : 0
% 0.14/0.50 % Disequality decompositions : 0
% 0.14/0.50 % Total rewrite steps : 4
% 0.14/0.50 % ...of those cached : 1
% 0.14/0.50 % Propositional unsat checks : 0
% 0.14/0.50 % Propositional check models : 0
% 0.14/0.50 % Propositional check unsatisfiable : 0
% 0.14/0.50 % Propositional clauses : 0
% 0.14/0.50 % Propositional clauses after purity: 0
% 0.14/0.50 % Propositional unsat core size : 0
% 0.14/0.50 % Propositional preprocessing time : 0.000
% 0.14/0.50 % Propositional encoding time : 0.000
% 0.14/0.50 % Propositional solver time : 0.000
% 0.14/0.50 % Success case prop preproc time : 0.000
% 0.14/0.50 % Success case prop encoding time : 0.000
% 0.14/0.50 % Success case prop solver time : 0.000
% 0.14/0.50 % Current number of processed clauses : 9
% 0.14/0.50 % Positive orientable unit clauses : 3
% 0.14/0.50 % Positive unorientable unit clauses: 0
% 0.14/0.50 % Negative unit clauses : 2
% 0.14/0.50 % Non-unit-clauses : 4
% 0.14/0.50 % Current number of unprocessed clauses: 0
% 0.14/0.50 % ...number of literals in the above : 0
% 0.14/0.50 % Current number of archived formulas : 0
% 0.14/0.50 % Current number of archived clauses : 2
% 0.14/0.50 % Clause-clause subsumption calls (NU) : 5
% 0.14/0.50 % Rec. Clause-clause subsumption calls : 4
% 0.14/0.50 % Non-unit clause-clause subsumptions : 0
% 0.14/0.50 % Unit Clause-clause subsumption calls : 2
% 0.14/0.50 % Rewrite failures with RHS unbound : 0
% 0.14/0.50 % BW rewrite match attempts : 0
% 0.14/0.50 % BW rewrite match successes : 0
% 0.14/0.50 % Condensation attempts : 0
% 0.14/0.50 % Condensation successes : 0
% 0.14/0.50 % Termbank termtop insertions : 290
% 0.14/0.50 % Search garbage collected termcells : 17
% 0.14/0.50
% 0.14/0.50 % -------------------------------------------------
% 0.14/0.50 % User time : 0.005 s
% 0.14/0.50 % System time : 0.002 s
% 0.14/0.50 % Total time : 0.007 s
% 0.14/0.50 % Maximum resident set size: 3636 pages
% 0.14/0.50
% 0.14/0.50 % -------------------------------------------------
% 0.14/0.50 % User time : 0.008 s
% 0.14/0.50 % System time : 0.007 s
% 0.14/0.50 % Total time : 0.015 s
% 0.14/0.50 % Maximum resident set size: 4864 pages
% 0.14/0.50 % E exiting
%------------------------------------------------------------------------------