%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ANA035-2 : 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 : n013.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 12:03:09 PM UTC 2026
% Result : Unsatisfiable 0.15s 15.66s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of clauses : 31 ( 13 unt; 0 nHn; 19 RR)
% Number of literals : 49 ( 24 equ; 31 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_OrderedGroup_Omult__ac__3_0,axiom,
( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| c_times(X2,c_times(X3,X4,X1),X1) = c_times(X3,c_times(X2,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__3_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_17,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
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_Omult__ac__2_0,axiom,
( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| c_times(X2,X3,X1) = c_times(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0) ).
cnf(cls_Ring__and__Field_Oabs__mult_0,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
cnf(c_0_6,negated_conjecture,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_7,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| c_times(X2,c_times(X3,X4,X1),X1) = c_times(X3,c_times(X2,X4,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Omult__ac__3_0]) ).
cnf(c_0_8,negated_conjecture,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
c_0_6 ).
cnf(c_0_9,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| c_times(X2,c_times(X3,X4,X1),X1) = c_times(X3,c_times(X2,X4,X1),X1) ),
c_0_7 ).
cnf(c_0_10,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_17]) ).
cnf(c_0_11,negated_conjecture,
( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
| c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
c_0_10 ).
cnf(c_0_13,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_14,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| c_times(X2,X3,X1) = c_times(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Omult__ac__2_0]) ).
cnf(c_0_15,negated_conjecture,
c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| c_times(X2,X3,X1) = c_times(X3,X2,X1) ),
c_0_14 ).
cnf(c_0_17,negated_conjecture,
( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
| c_times(v_ca,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),t_b) != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_times(X1,X2,X3) = c_times(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
c_times(v_ca,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),t_b) != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_12]),c_0_13])]) ).
cnf(c_0_20,negated_conjecture,
c_times(X1,X2,t_b) = c_times(X2,X1,t_b),
inference(spm,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
| c_times(v_ca,c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b) != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_9]),c_0_20]) ).
cnf(c_0_22,negated_conjecture,
c_times(v_ca,c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b) != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_12]),c_0_13])]) ).
cnf(c_0_23,negated_conjecture,
( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
| c_times(v_c,c_times(v_ca,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b) != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(spm,[status(thm)],[c_0_22,c_0_9]) ).
cnf(c_0_24,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_Ring__and__Field_Oabs__mult_0]) ).
cnf(c_0_25,negated_conjecture,
c_times(v_c,c_times(v_ca,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b) != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_12]),c_0_13])]) ).
cnf(c_0_26,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1) ),
c_0_24 ).
cnf(c_0_27,negated_conjecture,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_13])]) ).
cnf(c_0_28,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(X3)
| c_times(c_times(X1,X2,X3),X4,X3) = c_times(X1,c_times(X4,X2,X3),X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_9]) ).
cnf(c_0_29,negated_conjecture,
~ class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_20]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA035-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/15.59 % Computer : n013.cluster.edu
% 0.12/15.59 % Model : x86_64 x86_64
% 0.12/15.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.59 % Memory : 8046.5625MB
% 0.12/15.59 % OS : Linux 6.8.0-71-generic
% 0.12/15.59 % CPULimit : 300
% 0.12/15.59 % WCLimit : 300
% 0.12/15.59 % DateTime : Mon Sep 21 13:25:06 UTC 2026
% 0.12/15.59 % CPUTime :
% 0.12/15.59 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/15.64 Running first-order theorem proving
% 0.15/15.64 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
% 0.15/15.66 % Version: 3.5.1
% 0.15/15.66 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/15.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.66 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/15.66 % Starting new_bool_3 with 300s (1) cores
% 0.15/15.66 % Starting new_bool_1 with 300s (1) cores
% 0.15/15.66 % Starting sh5l with 300s (1) cores
% 0.15/15.66 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 858265 completed with status 0
% 0.15/15.66 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/15.66 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/15.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.66 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/15.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.66 % No SInE strategy applied
% 0.15/15.66 % Search class: FHUSF-FFSF31-MFFFFFNN
% 0.15/15.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.66 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.66 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/15.66 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/15.66 % Starting new_bool_3 with 136s (1) cores
% 0.15/15.66 % Starting new_bool_1 with 136s (1) cores
% 0.15/15.66 % new_bool_1 with pid 858273 completed with status 0
% 0.15/15.66 % Result found by new_bool_1
% 0.15/15.66 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/15.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.66 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/15.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.66 % No SInE strategy applied
% 0.15/15.66 % Search class: FHUSF-FFSF31-MFFFFFNN
% 0.15/15.66 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.66 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.66 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/15.66 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/15.66 % Starting new_bool_3 with 136s (1) cores
% 0.15/15.66 % Starting new_bool_1 with 136s (1) cores
% 0.15/15.66 % Preprocessing time : 0.001 s
% 0.15/15.66 % Presaturation interreduction done
% 0.15/15.66
% 0.15/15.66 % Proof found!
% 0.15/15.66 % SZS status Unsatisfiable
% 0.15/15.66 % SZS output start CNFRefutation
% See solution above
% 0.15/15.66 % Parsed axioms : 6
% 0.15/15.66 % Removed by relevancy pruning/SinE : 0
% 0.15/15.66 % Initial clauses : 6
% 0.15/15.66 % Removed in clause preprocessing : 0
% 0.15/15.66 % Initial clauses in saturation : 6
% 0.15/15.66 % Processed clauses : 43
% 0.15/15.66 % ...of these trivial : 0
% 0.15/15.66 % ...subsumed : 14
% 0.15/15.66 % ...remaining for further processing : 29
% 0.15/15.66 % Other redundant clauses eliminated : 0
% 0.15/15.66 % Clauses deleted for lack of memory : 0
% 0.15/15.66 % Backward-subsumed : 5
% 0.15/15.66 % Backward-rewritten : 1
% 0.15/15.66 % Generated clauses : 103
% 0.15/15.66 % ...of the previous two non-redundant : 103
% 0.15/15.66 % ...aggressively subsumed : 0
% 0.15/15.66 % Contextual simplify-reflections : 1
% 0.15/15.66 % Paramodulations : 103
% 0.15/15.66 % Factorizations : 0
% 0.15/15.66 % NegExts : 0
% 0.15/15.66 % Equation resolutions : 0
% 0.15/15.66 % Disequality decompositions : 0
% 0.15/15.66 % Total rewrite steps : 32
% 0.15/15.66 % ...of those cached : 25
% 0.15/15.66 % Propositional unsat checks : 0
% 0.15/15.66 % Propositional check models : 0
% 0.15/15.66 % Propositional check unsatisfiable : 0
% 0.15/15.66 % Propositional clauses : 0
% 0.15/15.66 % Propositional clauses after purity: 0
% 0.15/15.66 % Propositional unsat core size : 0
% 0.15/15.66 % Propositional preprocessing time : 0.000
% 0.15/15.66 % Propositional encoding time : 0.000
% 0.15/15.66 % Propositional solver time : 0.000
% 0.15/15.66 % Success case prop preproc time : 0.000
% 0.15/15.66 % Success case prop encoding time : 0.000
% 0.15/15.66 % Success case prop solver time : 0.000
% 0.15/15.66 % Current number of processed clauses : 17
% 0.15/15.66 % Positive orientable unit clauses : 2
% 0.15/15.66 % Positive unorientable unit clauses: 1
% 0.15/15.66 % Negative unit clauses : 7
% 0.15/15.66 % Non-unit-clauses : 7
% 0.15/15.66 % Current number of unprocessed clauses: 69
% 0.15/15.66 % ...number of literals in the above : 149
% 0.15/15.66 % Current number of archived formulas : 0
% 0.15/15.66 % Current number of archived clauses : 12
% 0.15/15.66 % Clause-clause subsumption calls (NU) : 37
% 0.15/15.66 % Rec. Clause-clause subsumption calls : 37
% 0.15/15.66 % Non-unit clause-clause subsumptions : 7
% 0.15/15.66 % Unit Clause-clause subsumption calls : 19
% 0.15/15.66 % Rewrite failures with RHS unbound : 0
% 0.15/15.66 % BW rewrite match attempts : 34
% 0.15/15.66 % BW rewrite match successes : 18
% 0.15/15.66 % Condensation attempts : 0
% 0.15/15.66 % Condensation successes : 0
% 0.15/15.66 % Termbank termtop insertions : 1942
% 0.15/15.66 % Search garbage collected termcells : 9
% 0.15/15.66
% 0.15/15.66 % -------------------------------------------------
% 0.15/15.66 % User time : 0.002 s
% 0.15/15.66 % System time : 0.004 s
% 0.15/15.66 % Total time : 0.006 s
% 0.15/15.66 % Maximum resident set size: 3632 pages
% 0.15/15.66
% 0.15/15.66 % -------------------------------------------------
% 0.15/15.66 % User time : 0.016 s
% 0.15/15.66 % System time : 0.015 s
% 0.15/15.66 % Total time : 0.031 s
% 0.15/15.66 % Maximum resident set size: 4864 pages
% 0.15/15.66 % E exiting
%------------------------------------------------------------------------------