%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA007-2 : 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 : n011.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 12:02:43 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.53s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 26 ( 3 equ; 14 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 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 : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Ring__and__Field_Omult__cancel__right1_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| X2 = c_times(c_1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__cancel__right1_2) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(c_0_5,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),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_6,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| X2 = c_times(c_1,X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_Ring__and__Field_Omult__cancel__right1_2]) ).
cnf(c_0_7,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
c_0_5 ).
cnf(c_0_8,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| X2 = c_times(c_1,X2,X1) ),
c_0_6 ).
cnf(c_0_9,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_10,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_11,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_12,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
c_0_10 ).
cnf(c_0_13,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_14,negated_conjecture,
~ class_Orderings_Oorder(t_b),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
c_0_13 ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA007-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n011.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 13:23:25 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 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
% 0.27/0.53 % Version: 3.5.1
% 0.27/0.53 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.27/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.27/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.53 % Starting sh5l with 300s (1) cores
% 0.27/0.53 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2004250 completed with status 0
% 0.27/0.53 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.27/0.53 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.27/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.27/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.53 % No SInE strategy applied
% 0.27/0.53 % Search class: FHUSF-FFSF31-MFFFFFNN
% 0.27/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.27/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.27/0.53 % Starting new_bool_3 with 136s (1) cores
% 0.27/0.53 % Starting new_bool_1 with 136s (1) cores
% 0.27/0.53 % SubtermCWHack with pid 2004254 completed with status 0
% 0.27/0.53 % Result found by SubtermCWHack
% 0.27/0.53 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.27/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.27/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.53 % No SInE strategy applied
% 0.27/0.53 % Search class: FHUSF-FFSF31-MFFFFFNN
% 0.27/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.53 % Preprocessing time : 0.001 s
% 0.27/0.53
% 0.27/0.53 % Proof found!
% 0.27/0.53 % SZS status Unsatisfiable
% 0.27/0.53 % SZS output start CNFRefutation
% See solution above
% 0.27/0.53 % Parsed axioms : 5
% 0.27/0.53 % Removed by relevancy pruning/SinE : 0
% 0.27/0.53 % Initial clauses : 5
% 0.27/0.53 % Removed in clause preprocessing : 0
% 0.27/0.53 % Initial clauses in saturation : 5
% 0.27/0.53 % Processed clauses : 7
% 0.27/0.53 % ...of these trivial : 0
% 0.27/0.53 % ...subsumed : 0
% 0.27/0.53 % ...remaining for further processing : 7
% 0.27/0.53 % Other redundant clauses eliminated : 0
% 0.27/0.53 % Clauses deleted for lack of memory : 0
% 0.27/0.53 % Backward-subsumed : 0
% 0.27/0.53 % Backward-rewritten : 0
% 0.27/0.53 % Generated clauses : 3
% 0.27/0.53 % ...of the previous two non-redundant : 2
% 0.27/0.53 % ...aggressively subsumed : 0
% 0.27/0.53 % Contextual simplify-reflections : 0
% 0.27/0.53 % Paramodulations : 3
% 0.27/0.53 % Factorizations : 0
% 0.27/0.53 % NegExts : 0
% 0.27/0.53 % Equation resolutions : 0
% 0.27/0.53 % Disequality decompositions : 0
% 0.27/0.53 % Total rewrite steps : 2
% 0.27/0.53 % ...of those cached : 1
% 0.27/0.53 % Propositional unsat checks : 0
% 0.27/0.53 % Propositional check models : 0
% 0.27/0.53 % Propositional check unsatisfiable : 0
% 0.27/0.53 % Propositional clauses : 0
% 0.27/0.53 % Propositional clauses after purity: 0
% 0.27/0.53 % Propositional unsat core size : 0
% 0.27/0.53 % Propositional preprocessing time : 0.000
% 0.27/0.53 % Propositional encoding time : 0.000
% 0.27/0.53 % Propositional solver time : 0.000
% 0.27/0.53 % Success case prop preproc time : 0.000
% 0.27/0.53 % Success case prop encoding time : 0.000
% 0.27/0.53 % Success case prop solver time : 0.000
% 0.27/0.53 % Current number of processed clauses : 7
% 0.27/0.53 % Positive orientable unit clauses : 1
% 0.27/0.53 % Positive unorientable unit clauses: 0
% 0.27/0.53 % Negative unit clauses : 3
% 0.27/0.53 % Non-unit-clauses : 3
% 0.27/0.53 % Current number of unprocessed clauses: 0
% 0.27/0.53 % ...number of literals in the above : 0
% 0.27/0.53 % Current number of archived formulas : 0
% 0.27/0.53 % Current number of archived clauses : 0
% 0.27/0.53 % Clause-clause subsumption calls (NU) : 0
% 0.27/0.53 % Rec. Clause-clause subsumption calls : 0
% 0.27/0.53 % Non-unit clause-clause subsumptions : 0
% 0.27/0.53 % Unit Clause-clause subsumption calls : 3
% 0.27/0.53 % Rewrite failures with RHS unbound : 0
% 0.27/0.53 % BW rewrite match attempts : 0
% 0.27/0.53 % BW rewrite match successes : 0
% 0.27/0.53 % Condensation attempts : 0
% 0.27/0.53 % Condensation successes : 0
% 0.27/0.53 % Termbank termtop insertions : 155
% 0.27/0.53 % Search garbage collected termcells : 8
% 0.27/0.53
% 0.27/0.53 % -------------------------------------------------
% 0.27/0.53 % User time : 0.003 s
% 0.27/0.53 % System time : 0.003 s
% 0.27/0.53 % Total time : 0.006 s
% 0.27/0.53 % Maximum resident set size: 3632 pages
% 0.27/0.53
% 0.27/0.53 % -------------------------------------------------
% 0.27/0.53 % User time : 0.005 s
% 0.27/0.53 % System time : 0.016 s
% 0.27/0.53 % Total time : 0.022 s
% 0.27/0.53 % Maximum resident set size: 4864 pages
% 0.27/0.53 % E exiting
%------------------------------------------------------------------------------