TSTP Solution File: ANA032-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : ANA032-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:16:26 EDT 2023
% Result : Unsatisfiable 116.14s 15.34s
% Output : CNFRefutation 116.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 10 unt; 0 nHn; 21 RR)
% Number of literals : 51 ( 4 equ; 30 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 37 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__idom_17,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.nNSHnebqwM/E---3.1_22835.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/tmp/tmp.nNSHnebqwM/E---3.1_22835.p',tfree_tcs) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),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),
file('/export/starexec/sandbox/tmp/tmp.nNSHnebqwM/E---3.1_22835.p',cls_conjecture_1) ).
cnf(cls_OrderedGroup_Omult__ac__2_0,axiom,
( c_times(X2,X3,X1) = c_times(X3,X2,X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
file('/export/starexec/sandbox/tmp/tmp.nNSHnebqwM/E---3.1_22835.p',cls_OrderedGroup_Omult__ac__2_0) ).
cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0,axiom,
( c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1) ),
file('/export/starexec/sandbox/tmp/tmp.nNSHnebqwM/E---3.1_22835.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
cnf(cls_OrderedGroup_Omult__ac__3_0,axiom,
( c_times(X2,c_times(X3,X4,X1),X1) = c_times(X3,c_times(X2,X4,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
file('/export/starexec/sandbox/tmp/tmp.nNSHnebqwM/E---3.1_22835.p',cls_OrderedGroup_Omult__ac__3_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.nNSHnebqwM/E---3.1_22835.p',cls_conjecture_0) ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/tmp/tmp.nNSHnebqwM/E---3.1_22835.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.nNSHnebqwM/E---3.1_22835.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.nNSHnebqwM/E---3.1_22835.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c_0_10,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_17 ).
cnf(c_0_11,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_12,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),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),
cls_conjecture_1 ).
cnf(c_0_13,axiom,
( c_times(X2,X3,X1) = c_times(X3,X2,X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
cls_OrderedGroup_Omult__ac__2_0 ).
cnf(c_0_14,negated_conjecture,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,axiom,
( c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1) ),
cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0 ).
cnf(c_0_16,axiom,
( c_times(X2,c_times(X3,X4,X1),X1) = c_times(X3,c_times(X2,X4,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
cls_OrderedGroup_Omult__ac__3_0 ).
cnf(c_0_17,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_b(v_x),t_b),t_b),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),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_18,plain,
( c_lessequals(c_times(X1,X2,X3),c_times(X4,c_times(X1,X5,X3),X3),X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3)
| ~ class_OrderedGroup_Oab__semigroup__mult(X3)
| ~ c_lessequals(X2,c_times(X4,X5,X3),X3)
| ~ c_lessequals(c_0,X1,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
cls_conjecture_0 ).
cnf(c_0_20,negated_conjecture,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14]),c_0_19])]) ).
cnf(c_0_21,axiom,
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
cls_OrderedGroup_Oabs__ge__zero_0 ).
cnf(c_0_22,negated_conjecture,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_42 ).
cnf(c_0_24,negated_conjecture,
~ class_OrderedGroup_Olordered__ab__group__abs(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,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_50 ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : ANA032-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.14 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Oct 2 15:06:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.40/0.62 Running first-order model finding
% 0.40/0.62 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.nNSHnebqwM/E---3.1_22835.p
% 116.14/15.34 # Version: 3.1pre001
% 116.14/15.34 # Preprocessing class: FMLMSMSMSSSNFFN.
% 116.14/15.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 116.14/15.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 116.14/15.34 # Starting new_bool_3 with 300s (1) cores
% 116.14/15.34 # Starting new_bool_1 with 300s (1) cores
% 116.14/15.34 # Starting sh5l with 300s (1) cores
% 116.14/15.34 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 22912 completed with status 0
% 116.14/15.34 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 116.14/15.34 # Preprocessing class: FMLMSMSMSSSNFFN.
% 116.14/15.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 116.14/15.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 116.14/15.34 # No SInE strategy applied
% 116.14/15.34 # Search class: FGHSM-SMLM32-DFFFFFNN
% 116.14/15.34 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 116.14/15.34 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 116.14/15.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 116.14/15.34 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 116.14/15.34 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 116.14/15.34 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 116.14/15.34 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 22921 completed with status 0
% 116.14/15.34 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 116.14/15.34 # Preprocessing class: FMLMSMSMSSSNFFN.
% 116.14/15.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 116.14/15.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 116.14/15.34 # No SInE strategy applied
% 116.14/15.34 # Search class: FGHSM-SMLM32-DFFFFFNN
% 116.14/15.34 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 116.14/15.34 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 116.14/15.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 116.14/15.34 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 116.14/15.34 # Preprocessing time : 0.024 s
% 116.14/15.34
% 116.14/15.34 # Proof found!
% 116.14/15.34 # SZS status Unsatisfiable
% 116.14/15.34 # SZS output start CNFRefutation
% See solution above
% 116.14/15.34 # Parsed axioms : 2789
% 116.14/15.34 # Removed by relevancy pruning/SinE : 0
% 116.14/15.34 # Initial clauses : 2789
% 116.14/15.34 # Removed in clause preprocessing : 9
% 116.14/15.34 # Initial clauses in saturation : 2780
% 116.14/15.34 # Processed clauses : 66120
% 116.14/15.34 # ...of these trivial : 555
% 116.14/15.34 # ...subsumed : 56619
% 116.14/15.34 # ...remaining for further processing : 8946
% 116.14/15.34 # Other redundant clauses eliminated : 6487
% 116.14/15.34 # Clauses deleted for lack of memory : 0
% 116.14/15.34 # Backward-subsumed : 558
% 116.14/15.34 # Backward-rewritten : 157
% 116.14/15.34 # Generated clauses : 571331
% 116.14/15.34 # ...of the previous two non-redundant : 501742
% 116.14/15.34 # ...aggressively subsumed : 0
% 116.14/15.34 # Contextual simplify-reflections : 766
% 116.14/15.34 # Paramodulations : 564748
% 116.14/15.34 # Factorizations : 19
% 116.14/15.34 # NegExts : 0
% 116.14/15.34 # Equation resolutions : 6563
% 116.14/15.34 # Total rewrite steps : 382845
% 116.14/15.34 # Propositional unsat checks : 1
% 116.14/15.34 # Propositional check models : 0
% 116.14/15.34 # Propositional check unsatisfiable : 0
% 116.14/15.34 # Propositional clauses : 0
% 116.14/15.34 # Propositional clauses after purity: 0
% 116.14/15.34 # Propositional unsat core size : 0
% 116.14/15.34 # Propositional preprocessing time : 0.000
% 116.14/15.34 # Propositional encoding time : 0.148
% 116.14/15.34 # Propositional solver time : 0.102
% 116.14/15.34 # Success case prop preproc time : 0.000
% 116.14/15.34 # Success case prop encoding time : 0.000
% 116.14/15.34 # Success case prop solver time : 0.000
% 116.14/15.34 # Current number of processed clauses : 8230
% 116.14/15.34 # Positive orientable unit clauses : 993
% 116.14/15.34 # Positive unorientable unit clauses: 20
% 116.14/15.34 # Negative unit clauses : 604
% 116.14/15.34 # Non-unit-clauses : 6613
% 116.14/15.34 # Current number of unprocessed clauses: 435107
% 116.14/15.34 # ...number of literals in the above : 1718355
% 116.14/15.34 # Current number of archived formulas : 0
% 116.14/15.34 # Current number of archived clauses : 724
% 116.14/15.34 # Clause-clause subsumption calls (NU) : 17971821
% 116.14/15.34 # Rec. Clause-clause subsumption calls : 7738719
% 116.14/15.34 # Non-unit clause-clause subsumptions : 20851
% 116.14/15.34 # Unit Clause-clause subsumption calls : 279744
% 116.14/15.34 # Rewrite failures with RHS unbound : 6
% 116.14/15.34 # BW rewrite match attempts : 2278
% 116.14/15.34 # BW rewrite match successes : 272
% 116.14/15.34 # Condensation attempts : 0
% 116.14/15.34 # Condensation successes : 0
% 116.14/15.34 # Termbank termtop insertions : 9466158
% 116.14/15.34
% 116.14/15.34 # -------------------------------------------------
% 116.14/15.34 # User time : 14.075 s
% 116.14/15.34 # System time : 0.403 s
% 116.14/15.34 # Total time : 14.478 s
% 116.14/15.34 # Maximum resident set size: 6412 pages
% 116.14/15.34
% 116.14/15.34 # -------------------------------------------------
% 116.14/15.34 # User time : 70.424 s
% 116.14/15.34 # System time : 1.576 s
% 116.14/15.34 # Total time : 72.000 s
% 116.14/15.34 # Maximum resident set size: 3508 pages
% 116.14/15.34 % E---3.1 exiting
%------------------------------------------------------------------------------