%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ANA035-1 : 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 : n006.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 7.80s 1.63s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 26 ( 11 unt; 0 nHn; 17 RR)
% Number of literals : 41 ( 15 equ; 21 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__idom_21,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_21) ).
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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_OrderedGroup_Omult__ac__1_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_Omult__ac__1_0) ).
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_17,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_17) ).
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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__3_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/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
cnf(c_0_7,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_21]) ).
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),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
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_Omult__ac__1_0]) ).
cnf(c_0_10,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Osemigroup__mult(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_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_13,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_8 ).
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,negated_conjecture,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,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_17,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__semigroup__mult(X1) ),
c_0_12 ).
cnf(c_0_18,negated_conjecture,
c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_times(v_ca,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_13,c_0_14]),c_0_15])]) ).
cnf(c_0_19,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_16 ).
cnf(c_0_20,negated_conjecture,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_21,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_22,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_18,c_0_19]),c_0_20])]) ).
cnf(c_0_23,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_21 ).
cnf(c_0_24,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_22,c_0_23]),c_0_11])]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA035-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:25:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 7.80/1.63 % Version: 3.5.1
% 7.80/1.63 % Preprocessing class: FMLMSMSMSSSNFFN.
% 7.80/1.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.80/1.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.80/1.63 % Starting new_bool_3 with 300s (1) cores
% 7.80/1.63 % Starting new_bool_1 with 300s (1) cores
% 7.80/1.63 % Starting sh5l with 300s (1) cores
% 7.80/1.63 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2941060 completed with status 0
% 7.80/1.63 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 7.80/1.63 % Preprocessing class: FMLMSMSMSSSNFFN.
% 7.80/1.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.80/1.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.80/1.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.80/1.63 % No SInE strategy applied
% 7.80/1.63 % Search class: FGHSM-SMLM32-DFFFFFNN
% 7.80/1.63 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 7.80/1.63 % Starting SubtermCWHack with 136s (1) cores
% 7.80/1.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.80/1.63 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 7.80/1.63 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 7.80/1.63 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 7.80/1.63 % G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 2941070 completed with status 0
% 7.80/1.63 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 7.80/1.63 % Preprocessing class: FMLMSMSMSSSNFFN.
% 7.80/1.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.80/1.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.80/1.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.80/1.63 % No SInE strategy applied
% 7.80/1.63 % Search class: FGHSM-SMLM32-DFFFFFNN
% 7.80/1.63 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 7.80/1.63 % Starting SubtermCWHack with 136s (1) cores
% 7.80/1.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.80/1.63 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 7.80/1.63 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 7.80/1.63 % Preprocessing time : 0.030 s
% 7.80/1.63
% 7.80/1.63 % Proof found!
% 7.80/1.63 % SZS status Unsatisfiable
% 7.80/1.63 % SZS output start CNFRefutation
% See solution above
% 7.80/1.63 % Parsed axioms : 2795
% 7.80/1.63 % Removed by relevancy pruning/SinE : 0
% 7.80/1.63 % Initial clauses : 2795
% 7.80/1.63 % Removed in clause preprocessing : 9
% 7.80/1.63 % Initial clauses in saturation : 2786
% 7.80/1.63 % Processed clauses : 3656
% 7.80/1.63 % ...of these trivial : 62
% 7.80/1.63 % ...subsumed : 746
% 7.80/1.63 % ...remaining for further processing : 2848
% 7.80/1.63 % Other redundant clauses eliminated : 209
% 7.80/1.63 % Clauses deleted for lack of memory : 0
% 7.80/1.63 % Backward-subsumed : 11
% 7.80/1.63 % Backward-rewritten : 24
% 7.80/1.63 % Generated clauses : 30097
% 7.80/1.63 % ...of the previous two non-redundant : 24893
% 7.80/1.63 % ...aggressively subsumed : 0
% 7.80/1.63 % Contextual simplify-reflections : 7
% 7.80/1.63 % Paramodulations : 29838
% 7.80/1.63 % Factorizations : 1
% 7.80/1.63 % NegExts : 0
% 7.80/1.63 % Equation resolutions : 258
% 7.80/1.63 % Disequality decompositions : 0
% 7.80/1.63 % Total rewrite steps : 14614
% 7.80/1.63 % ...of those cached : 13095
% 7.80/1.63 % Propositional unsat checks : 0
% 7.80/1.63 % Propositional check models : 0
% 7.80/1.63 % Propositional check unsatisfiable : 0
% 7.80/1.63 % Propositional clauses : 0
% 7.80/1.63 % Propositional clauses after purity: 0
% 7.80/1.63 % Propositional unsat core size : 0
% 7.80/1.63 % Propositional preprocessing time : 0.000
% 7.80/1.63 % Propositional encoding time : 0.000
% 7.80/1.63 % Propositional solver time : 0.000
% 7.80/1.63 % Success case prop preproc time : 0.000
% 7.80/1.63 % Success case prop encoding time : 0.000
% 7.80/1.63 % Success case prop solver time : 0.000
% 7.80/1.63 % Current number of processed clauses : 2813
% 7.80/1.63 % Positive orientable unit clauses : 605
% 7.80/1.63 % Positive unorientable unit clauses: 16
% 7.80/1.63 % Negative unit clauses : 87
% 7.80/1.63 % Non-unit-clauses : 2105
% 7.80/1.63 % Current number of unprocessed clauses: 23957
% 7.80/1.63 % ...number of literals in the above : 88827
% 7.80/1.63 % Current number of archived formulas : 0
% 7.80/1.63 % Current number of archived clauses : 43
% 7.80/1.63 % Clause-clause subsumption calls (NU) : 1741099
% 7.80/1.63 % Rec. Clause-clause subsumption calls : 1011016
% 7.80/1.63 % Non-unit clause-clause subsumptions : 422
% 7.80/1.63 % Unit Clause-clause subsumption calls : 120822
% 7.80/1.63 % Rewrite failures with RHS unbound : 0
% 7.80/1.63 % BW rewrite match attempts : 425
% 7.80/1.63 % BW rewrite match successes : 40
% 7.80/1.63 % Condensation attempts : 0
% 7.80/1.63 % Condensation successes : 0
% 7.80/1.63 % Termbank termtop insertions : 559434
% 7.80/1.63 % Search garbage collected termcells : 4082
% 7.80/1.63
% 7.80/1.63 % -------------------------------------------------
% 7.80/1.63 % User time : 1.090 s
% 7.80/1.63 % System time : 0.040 s
% 7.80/1.63 % Total time : 1.131 s
% 7.80/1.63 % Maximum resident set size: 8512 pages
% 7.80/1.63
% 7.80/1.63 % -------------------------------------------------
% 7.80/1.63 % User time : 5.288 s
% 7.80/1.63 % System time : 0.213 s
% 7.80/1.63 % Total time : 5.501 s
% 7.80/1.63 % Maximum resident set size: 6400 pages
% 7.80/1.63 % E exiting
%------------------------------------------------------------------------------