TSTP Solution File: ANA031-2 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 17:16:05 EDT 2023
% Result : Unsatisfiable 2.72s 0.80s
% Output : CNFRefutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 9 unt; 0 nHn; 22 RR)
% Number of literals : 70 ( 7 equ; 44 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 54 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/tmp/tmp.801Van2soK/E---3.1_28817.p',cls_OrderedGroup_Omult__ac__2_0) ).
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.801Van2soK/E---3.1_28817.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/tmp/tmp.801Van2soK/E---3.1_28817.p',tfree_tcs) ).
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.801Van2soK/E---3.1_28817.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
cnf(cls_OrderedGroup_Omult__ac__1_0,axiom,
( c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1)
| ~ class_OrderedGroup_Osemigroup__mult(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.801Van2soK/E---3.1_28817.p',cls_OrderedGroup_Omult__ac__1_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(X1)),t_b),c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),c_times(X1,c_times(c_HOL_Oabs(v_f(v_x(X1)),t_b),c_HOL_Oabs(v_g(v_x(X1)),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.801Van2soK/E---3.1_28817.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(X1),t_b),c_times(v_c,c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.801Van2soK/E---3.1_28817.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/sandbox2/tmp/tmp.801Van2soK/E---3.1_28817.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/sandbox2/tmp/tmp.801Van2soK/E---3.1_28817.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_21,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.801Van2soK/E---3.1_28817.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
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.801Van2soK/E---3.1_28817.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c_0_11,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_12,axiom,
( class_OrderedGroup_Oab__semigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_17 ).
cnf(c_0_13,plain,
( c_times(X1,X2,X3) = c_times(X2,X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
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,negated_conjecture,
c_times(X1,X2,t_b) = c_times(X2,X1,t_b),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,axiom,
( c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1)
| ~ class_OrderedGroup_Osemigroup__mult(X1) ),
cls_OrderedGroup_Omult__ac__1_0 ).
cnf(c_0_18,negated_conjecture,
( c_lessequals(c_times(X1,X2,t_b),c_times(X2,X3,t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ c_lessequals(c_0,X2,t_b)
| ~ c_lessequals(X1,X3,t_b) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( c_times(X1,c_times(X2,X3,t_b),t_b) = c_times(X2,c_times(X3,X1,t_b),t_b)
| ~ class_OrderedGroup_Osemigroup__mult(t_b) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(X1)),t_b),c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),c_times(X1,c_times(c_HOL_Oabs(v_f(v_x(X1)),t_b),c_HOL_Oabs(v_g(v_x(X1)),t_b),t_b),t_b),t_b),
cls_conjecture_1 ).
cnf(c_0_21,negated_conjecture,
( c_lessequals(c_times(X1,X2,t_b),c_times(X3,c_times(X2,X4,t_b),t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ class_OrderedGroup_Osemigroup__mult(t_b)
| ~ c_lessequals(X1,c_times(X4,X3,t_b),t_b)
| ~ c_lessequals(c_0,X2,t_b) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ class_OrderedGroup_Osemigroup__mult(t_b)
| ~ c_lessequals(c_HOL_Oabs(v_b(v_x(X1)),t_b),c_times(X1,c_HOL_Oabs(v_g(v_x(X1)),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_16]) ).
cnf(c_0_23,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(X1),t_b),c_times(v_c,c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),
cls_conjecture_0 ).
cnf(c_0_24,negated_conjecture,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ class_OrderedGroup_Osemigroup__mult(t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x(v_c)),t_b),t_b) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,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_26,negated_conjecture,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ class_OrderedGroup_Osemigroup__mult(t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,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_28,negated_conjecture,
( ~ class_OrderedGroup_Osemigroup__mult(t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_14])]) ).
cnf(c_0_29,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_21 ).
cnf(c_0_30,negated_conjecture,
~ class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_14])]) ).
cnf(c_0_31,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_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 15:04:09 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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/tmp/tmp.801Van2soK/E---3.1_28817.p
% 2.72/0.80 # Version: 3.1pre001
% 2.72/0.80 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.72/0.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.72/0.80 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.72/0.80 # Starting new_bool_3 with 300s (1) cores
% 2.72/0.80 # Starting new_bool_1 with 300s (1) cores
% 2.72/0.80 # Starting sh5l with 300s (1) cores
% 2.72/0.80 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28895 completed with status 0
% 2.72/0.80 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.72/0.80 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.72/0.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.72/0.80 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.72/0.80 # No SInE strategy applied
% 2.72/0.80 # Search class: FHUSF-FFSF31-MFFFFFNN
% 2.72/0.80 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.72/0.80 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 2.72/0.80 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.72/0.80 # Starting new_bool_3 with 136s (1) cores
% 2.72/0.80 # Starting new_bool_1 with 136s (1) cores
% 2.72/0.80 # Starting sh5l with 136s (1) cores
% 2.72/0.80 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28900 completed with status 0
% 2.72/0.80 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.72/0.80 # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.72/0.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.72/0.80 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.72/0.80 # No SInE strategy applied
% 2.72/0.80 # Search class: FHUSF-FFSF31-MFFFFFNN
% 2.72/0.80 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.72/0.80 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 2.72/0.80 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.72/0.80 # Preprocessing time : 0.001 s
% 2.72/0.80 # Presaturation interreduction done
% 2.72/0.80
% 2.72/0.80 # Proof found!
% 2.72/0.80 # SZS status Unsatisfiable
% 2.72/0.80 # SZS output start CNFRefutation
% See solution above
% 2.72/0.80 # Parsed axioms : 11
% 2.72/0.80 # Removed by relevancy pruning/SinE : 0
% 2.72/0.80 # Initial clauses : 11
% 2.72/0.80 # Removed in clause preprocessing : 0
% 2.72/0.80 # Initial clauses in saturation : 11
% 2.72/0.80 # Processed clauses : 529
% 2.72/0.80 # ...of these trivial : 0
% 2.72/0.80 # ...subsumed : 392
% 2.72/0.80 # ...remaining for further processing : 137
% 2.72/0.80 # Other redundant clauses eliminated : 0
% 2.72/0.80 # Clauses deleted for lack of memory : 0
% 2.72/0.80 # Backward-subsumed : 2
% 2.72/0.80 # Backward-rewritten : 0
% 2.72/0.80 # Generated clauses : 30357
% 2.72/0.80 # ...of the previous two non-redundant : 30356
% 2.72/0.80 # ...aggressively subsumed : 0
% 2.72/0.80 # Contextual simplify-reflections : 0
% 2.72/0.80 # Paramodulations : 30357
% 2.72/0.80 # Factorizations : 0
% 2.72/0.80 # NegExts : 0
% 2.72/0.80 # Equation resolutions : 0
% 2.72/0.80 # Total rewrite steps : 11
% 2.72/0.80 # Propositional unsat checks : 0
% 2.72/0.80 # Propositional check models : 0
% 2.72/0.80 # Propositional check unsatisfiable : 0
% 2.72/0.80 # Propositional clauses : 0
% 2.72/0.80 # Propositional clauses after purity: 0
% 2.72/0.80 # Propositional unsat core size : 0
% 2.72/0.80 # Propositional preprocessing time : 0.000
% 2.72/0.80 # Propositional encoding time : 0.000
% 2.72/0.80 # Propositional solver time : 0.000
% 2.72/0.80 # Success case prop preproc time : 0.000
% 2.72/0.80 # Success case prop encoding time : 0.000
% 2.72/0.80 # Success case prop solver time : 0.000
% 2.72/0.80 # Current number of processed clauses : 124
% 2.72/0.80 # Positive orientable unit clauses : 2
% 2.72/0.80 # Positive unorientable unit clauses: 1
% 2.72/0.80 # Negative unit clauses : 3
% 2.72/0.80 # Non-unit-clauses : 118
% 2.72/0.80 # Current number of unprocessed clauses: 29849
% 2.72/0.80 # ...number of literals in the above : 86681
% 2.72/0.80 # Current number of archived formulas : 0
% 2.72/0.80 # Current number of archived clauses : 13
% 2.72/0.80 # Clause-clause subsumption calls (NU) : 15351
% 2.72/0.80 # Rec. Clause-clause subsumption calls : 13595
% 2.72/0.80 # Non-unit clause-clause subsumptions : 386
% 2.72/0.80 # Unit Clause-clause subsumption calls : 101
% 2.72/0.80 # Rewrite failures with RHS unbound : 0
% 2.72/0.80 # BW rewrite match attempts : 18
% 2.72/0.80 # BW rewrite match successes : 6
% 2.72/0.80 # Condensation attempts : 0
% 2.72/0.80 # Condensation successes : 0
% 2.72/0.80 # Termbank termtop insertions : 814824
% 2.72/0.80
% 2.72/0.80 # -------------------------------------------------
% 2.72/0.80 # User time : 0.336 s
% 2.72/0.80 # System time : 0.015 s
% 2.72/0.80 # Total time : 0.351 s
% 2.72/0.80 # Maximum resident set size: 1640 pages
% 2.72/0.80
% 2.72/0.80 # -------------------------------------------------
% 2.72/0.80 # User time : 1.723 s
% 2.72/0.80 # System time : 0.037 s
% 2.72/0.80 # Total time : 1.761 s
% 2.72/0.80 # Maximum resident set size: 1684 pages
% 2.72/0.80 % E---3.1 exiting
% 2.72/0.80 % E---3.1 exiting
%------------------------------------------------------------------------------