TSTP Solution File: ANA043-1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : ANA043-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 17:16:28 EDT 2023
% Result : Unsatisfiable 195.46s 26.07s
% Output : CNFRefutation 195.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 34 ( 15 unt; 0 nHn; 21 RR)
% Number of literals : 60 ( 8 equ; 29 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 49 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Ominus__minus_0,axiom,
( c_uminus(c_uminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',cls_OrderedGroup_Ominus__minus_0) ).
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/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(cls_OrderedGroup_Oabs__minus__cancel_0,axiom,
( c_HOL_Oabs(c_uminus(X2,X1),X1) = c_HOL_Oabs(X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',cls_OrderedGroup_Oabs__minus__cancel_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/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
cnf(cls_OrderedGroup_Omult__left__commute_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/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',cls_OrderedGroup_Omult__left__commute_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/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
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/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
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/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X1),v_xa(X1)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X1),v_xa(X1))),t_b),t_b),c_times(X1,c_times(c_HOL_Oabs(v_l(v_x(X1),v_xa(X1)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X1),v_xa(X1))),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(X1),t_b),c_times(v_c,c_HOL_Oabs(v_h(X1),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p',cls_conjecture_0) ).
cnf(c_0_12,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_4 ).
cnf(c_0_13,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_14,axiom,
( c_uminus(c_uminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_OrderedGroup_Ominus__minus_0 ).
cnf(c_0_15,negated_conjecture,
class_OrderedGroup_Oab__group__add(t_b),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,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_17,axiom,
( c_HOL_Oabs(c_uminus(X2,X1),X1) = c_HOL_Oabs(X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
cls_OrderedGroup_Oabs__minus__cancel_0 ).
cnf(c_0_18,negated_conjecture,
c_uminus(c_uminus(X1,t_b),t_b) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(spm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_20,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_21,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__left__commute_0 ).
cnf(c_0_22,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_23,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_17 ).
cnf(c_0_24,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_25,negated_conjecture,
c_HOL_Oabs(c_uminus(X1,t_b),t_b) = c_HOL_Oabs(X1,t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_26,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X1),v_xa(X1)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X1),v_xa(X1))),t_b),t_b),c_times(X1,c_times(c_HOL_Oabs(v_l(v_x(X1),v_xa(X1)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X1),v_xa(X1))),t_b),t_b),t_b),t_b),
cls_conjecture_1 ).
cnf(c_0_27,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_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(spm,[status(thm)],[c_0_22,c_0_13]) ).
cnf(c_0_29,negated_conjecture,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(spm,[status(thm)],[c_0_23,c_0_13]) ).
cnf(c_0_30,negated_conjecture,
c_lessequals(c_0,c_HOL_Oabs(X1,t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19])]) ).
cnf(c_0_31,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(X1),v_xa(X1))),t_b),c_times(X1,c_HOL_Oabs(v_h(v_k(v_x(X1),v_xa(X1))),t_b),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30])]) ).
cnf(c_0_32,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(X1),t_b),c_times(v_c,c_HOL_Oabs(v_h(X1),t_b),t_b),t_b),
cls_conjecture_0 ).
cnf(c_0_33,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_31,c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA043-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 15:08:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.66 Running first-order model finding
% 0.20/0.66 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.JXgNBvcLaV/E---3.1_10363.p
% 195.46/26.07 # Version: 3.1pre001
% 195.46/26.07 # Preprocessing class: FMLMSMSMSSSNFFN.
% 195.46/26.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 195.46/26.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 195.46/26.07 # Starting new_bool_3 with 300s (1) cores
% 195.46/26.07 # Starting new_bool_1 with 300s (1) cores
% 195.46/26.07 # Starting sh5l with 300s (1) cores
% 195.46/26.07 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 10473 completed with status 0
% 195.46/26.07 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 195.46/26.07 # Preprocessing class: FMLMSMSMSSSNFFN.
% 195.46/26.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 195.46/26.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 195.46/26.07 # No SInE strategy applied
% 195.46/26.07 # Search class: FGHSM-SMLM32-DFFFFFNN
% 195.46/26.07 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 195.46/26.07 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 195.46/26.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 195.46/26.07 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 195.46/26.07 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 195.46/26.07 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 195.46/26.07 # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 10483 completed with status 0
% 195.46/26.07 # Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 195.46/26.07 # Preprocessing class: FMLMSMSMSSSNFFN.
% 195.46/26.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 195.46/26.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 195.46/26.07 # No SInE strategy applied
% 195.46/26.07 # Search class: FGHSM-SMLM32-DFFFFFNN
% 195.46/26.07 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 195.46/26.07 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 195.46/26.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 195.46/26.07 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 195.46/26.07 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 195.46/26.07 # Preprocessing time : 0.024 s
% 195.46/26.07 # Presaturation interreduction done
% 195.46/26.07
% 195.46/26.07 # Proof found!
% 195.46/26.07 # SZS status Unsatisfiable
% 195.46/26.07 # SZS output start CNFRefutation
% See solution above
% 195.46/26.07 # Parsed axioms : 2787
% 195.46/26.07 # Removed by relevancy pruning/SinE : 0
% 195.46/26.07 # Initial clauses : 2787
% 195.46/26.07 # Removed in clause preprocessing : 9
% 195.46/26.07 # Initial clauses in saturation : 2778
% 195.46/26.07 # Processed clauses : 102942
% 195.46/26.07 # ...of these trivial : 855
% 195.46/26.07 # ...subsumed : 85807
% 195.46/26.07 # ...remaining for further processing : 16280
% 195.46/26.07 # Other redundant clauses eliminated : 5552
% 195.46/26.07 # Clauses deleted for lack of memory : 0
% 195.46/26.07 # Backward-subsumed : 506
% 195.46/26.07 # Backward-rewritten : 791
% 195.46/26.07 # Generated clauses : 867224
% 195.46/26.07 # ...of the previous two non-redundant : 764848
% 195.46/26.07 # ...aggressively subsumed : 0
% 195.46/26.07 # Contextual simplify-reflections : 654
% 195.46/26.07 # Paramodulations : 861589
% 195.46/26.07 # Factorizations : 6
% 195.46/26.07 # NegExts : 0
% 195.46/26.07 # Equation resolutions : 5629
% 195.46/26.07 # Total rewrite steps : 777166
% 195.46/26.07 # Propositional unsat checks : 3
% 195.46/26.07 # Propositional check models : 1
% 195.46/26.07 # Propositional check unsatisfiable : 0
% 195.46/26.07 # Propositional clauses : 0
% 195.46/26.07 # Propositional clauses after purity: 0
% 195.46/26.07 # Propositional unsat core size : 0
% 195.46/26.07 # Propositional preprocessing time : 0.000
% 195.46/26.07 # Propositional encoding time : 1.288
% 195.46/26.07 # Propositional solver time : 0.630
% 195.46/26.07 # Success case prop preproc time : 0.000
% 195.46/26.07 # Success case prop encoding time : 0.000
% 195.46/26.07 # Success case prop solver time : 0.000
% 195.46/26.07 # Current number of processed clauses : 12332
% 195.46/26.07 # Positive orientable unit clauses : 1674
% 195.46/26.07 # Positive unorientable unit clauses: 56
% 195.46/26.07 # Negative unit clauses : 1204
% 195.46/26.07 # Non-unit-clauses : 9398
% 195.46/26.07 # Current number of unprocessed clauses: 664071
% 195.46/26.07 # ...number of literals in the above : 2035648
% 195.46/26.07 # Current number of archived formulas : 0
% 195.46/26.07 # Current number of archived clauses : 3955
% 195.46/26.07 # Clause-clause subsumption calls (NU) : 29258091
% 195.46/26.07 # Rec. Clause-clause subsumption calls : 14825202
% 195.46/26.07 # Non-unit clause-clause subsumptions : 26420
% 195.46/26.07 # Unit Clause-clause subsumption calls : 535727
% 195.46/26.07 # Rewrite failures with RHS unbound : 0
% 195.46/26.07 # BW rewrite match attempts : 4463
% 195.46/26.07 # BW rewrite match successes : 509
% 195.46/26.07 # Condensation attempts : 0
% 195.46/26.07 # Condensation successes : 0
% 195.46/26.07 # Termbank termtop insertions : 19531685
% 195.46/26.07
% 195.46/26.07 # -------------------------------------------------
% 195.46/26.07 # User time : 23.344 s
% 195.46/26.07 # System time : 0.495 s
% 195.46/26.07 # Total time : 23.839 s
% 195.46/26.07 # Maximum resident set size: 6412 pages
% 195.46/26.07
% 195.46/26.07 # -------------------------------------------------
% 195.46/26.07 # User time : 118.145 s
% 195.46/26.07 # System time : 2.954 s
% 195.46/26.07 # Total time : 121.100 s
% 195.46/26.07 # Maximum resident set size: 3512 pages
% 195.46/26.07 % E---3.1 exiting
%------------------------------------------------------------------------------