%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA016-2 : 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 : 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 12:02:45 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 31 ( 11 unt; 4 nHn; 20 RR)
% Number of literals : 55 ( 22 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0,axiom,
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
cnf(cls_Ring__and__Field_Oright__inverse_0,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| c_times(X2,c_HOL_Oinverse(X2,X1),X1) = c_1
| X2 = c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oright__inverse_0) ).
cnf(clsrel_Ring__and__Field_Ofield_21,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(cls_conjecture_2,negated_conjecture,
v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_conjecture_0,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_times(c_1,X2,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Ofield_12,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
cnf(c_0_9,plain,
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0]) ).
cnf(c_0_10,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| c_times(X2,c_HOL_Oinverse(X2,X1),X1) = c_1
| X2 = c_0 ),
inference(fof_simplification,[status(thm)],[cls_Ring__and__Field_Oright__inverse_0]) ).
cnf(c_0_11,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Ofield_21]) ).
cnf(c_0_12,plain,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ofield(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__field_0]) ).
cnf(c_0_13,negated_conjecture,
v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).
cnf(c_0_14,plain,
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
c_0_9 ).
cnf(c_0_15,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| c_times(X2,c_HOL_Oinverse(X2,X1),X1) = c_1
| X2 = c_0 ),
c_0_10 ).
cnf(c_0_16,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
c_0_11 ).
cnf(c_0_17,plain,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ofield(X1) ),
c_0_12 ).
cnf(c_0_18,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
tfree_tcs ).
cnf(c_0_19,negated_conjecture,
v_c != c_0,
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_20,plain,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_times(c_1,X2,X1) = X2 ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0]) ).
cnf(c_0_21,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Ofield_12]) ).
cnf(c_0_22,negated_conjecture,
v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
c_0_13 ).
cnf(c_0_23,plain,
( ~ class_Ring__and__Field_Ofield(X2)
| X1 = c_0
| c_times(X1,c_times(c_HOL_Oinverse(X1,X2),X3,X2),X2) = c_times(c_1,X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_24,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
v_c != c_0,
c_0_19 ).
cnf(c_0_26,plain,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_times(c_1,X2,X1) = X2 ),
c_0_20 ).
cnf(c_0_27,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
c_0_21 ).
cnf(c_0_28,negated_conjecture,
c_times(c_1,v_g(v_x),t_a) != v_g(v_x),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_29,plain,
( ~ class_Ring__and__Field_Ofield(X2)
| c_times(c_1,X1,X2) = X1 ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA016-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 13:23:56 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.44 % Version: 3.5.1
% 0.12/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.44 % Starting sh5l with 300s (1) cores
% 0.12/0.44 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2005977 completed with status 0
% 0.12/0.44 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.12/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44 % No SInE strategy applied
% 0.12/0.44 % Search class: FGUSF-FFSF32-MFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.12/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.44 % new_bool_1 with pid 2005985 completed with status 0
% 0.12/0.44 % Result found by new_bool_1
% 0.12/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44 % No SInE strategy applied
% 0.12/0.44 % Search class: FGUSF-FFSF32-MFFFFFNN
% 0.12/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.12/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.44 % Preprocessing time : 0.001 s
% 0.12/0.44 % Presaturation interreduction done
% 0.12/0.44
% 0.12/0.44 % Proof found!
% 0.12/0.44 % SZS status Unsatisfiable
% 0.12/0.44 % SZS output start CNFRefutation
% See solution above
% 0.12/0.44 % Parsed axioms : 9
% 0.12/0.44 % Removed by relevancy pruning/SinE : 0
% 0.12/0.44 % Initial clauses : 9
% 0.12/0.44 % Removed in clause preprocessing : 0
% 0.12/0.44 % Initial clauses in saturation : 9
% 0.12/0.44 % Processed clauses : 27
% 0.12/0.44 % ...of these trivial : 0
% 0.12/0.44 % ...subsumed : 4
% 0.12/0.44 % ...remaining for further processing : 23
% 0.12/0.44 % Other redundant clauses eliminated : 0
% 0.12/0.44 % Clauses deleted for lack of memory : 0
% 0.12/0.44 % Backward-subsumed : 0
% 0.12/0.44 % Backward-rewritten : 0
% 0.12/0.44 % Generated clauses : 20
% 0.12/0.44 % ...of the previous two non-redundant : 19
% 0.12/0.44 % ...aggressively subsumed : 0
% 0.12/0.44 % Contextual simplify-reflections : 1
% 0.12/0.44 % Paramodulations : 20
% 0.12/0.44 % Factorizations : 0
% 0.12/0.44 % NegExts : 0
% 0.12/0.44 % Equation resolutions : 0
% 0.12/0.44 % Disequality decompositions : 0
% 0.12/0.44 % Total rewrite steps : 2
% 0.12/0.44 % ...of those cached : 1
% 0.12/0.44 % Propositional unsat checks : 0
% 0.12/0.44 % Propositional check models : 0
% 0.12/0.44 % Propositional check unsatisfiable : 0
% 0.12/0.44 % Propositional clauses : 0
% 0.12/0.44 % Propositional clauses after purity: 0
% 0.12/0.44 % Propositional unsat core size : 0
% 0.12/0.44 % Propositional preprocessing time : 0.000
% 0.12/0.44 % Propositional encoding time : 0.000
% 0.12/0.44 % Propositional solver time : 0.000
% 0.12/0.44 % Success case prop preproc time : 0.000
% 0.12/0.44 % Success case prop encoding time : 0.000
% 0.12/0.44 % Success case prop solver time : 0.000
% 0.12/0.44 % Current number of processed clauses : 14
% 0.12/0.44 % Positive orientable unit clauses : 2
% 0.12/0.44 % Positive unorientable unit clauses: 0
% 0.12/0.44 % Negative unit clauses : 3
% 0.12/0.44 % Non-unit-clauses : 9
% 0.12/0.44 % Current number of unprocessed clauses: 9
% 0.12/0.44 % ...number of literals in the above : 32
% 0.12/0.44 % Current number of archived formulas : 0
% 0.12/0.44 % Current number of archived clauses : 9
% 0.12/0.44 % Clause-clause subsumption calls (NU) : 23
% 0.12/0.44 % Rec. Clause-clause subsumption calls : 23
% 0.12/0.44 % Non-unit clause-clause subsumptions : 5
% 0.12/0.44 % Unit Clause-clause subsumption calls : 1
% 0.12/0.44 % Rewrite failures with RHS unbound : 0
% 0.12/0.44 % BW rewrite match attempts : 0
% 0.12/0.44 % BW rewrite match successes : 0
% 0.12/0.44 % Condensation attempts : 0
% 0.12/0.44 % Condensation successes : 0
% 0.12/0.44 % Termbank termtop insertions : 479
% 0.12/0.44 % Search garbage collected termcells : 15
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.002 s
% 0.12/0.44 % System time : 0.002 s
% 0.12/0.44 % Total time : 0.004 s
% 0.12/0.44 % Maximum resident set size: 3636 pages
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.014 s
% 0.12/0.44 % System time : 0.009 s
% 0.12/0.44 % Total time : 0.023 s
% 0.12/0.44 % Maximum resident set size: 4608 pages
% 0.12/0.44 % E exiting
%------------------------------------------------------------------------------