TSTP Solution File: ANA017-2 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : ANA017-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 17:16:01 EDT 2023
% Result : Unsatisfiable 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 10 unt; 0 nHn; 18 RR)
% Number of literals : 50 ( 5 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 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 : 47 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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.mbypJvyswI/E---3.1_1581.p',cls_OrderedGroup_Omult__ac__1_0) ).
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.mbypJvyswI/E---3.1_1581.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(X1)),t_b),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.mbypJvyswI/E---3.1_1581.p',cls_conjecture_1) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/tmp/tmp.mbypJvyswI/E---3.1_1581.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.mbypJvyswI/E---3.1_1581.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
cnf(cls_Ring__and__Field_Oabs__mult_0,axiom,
( c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.mbypJvyswI/E---3.1_1581.p',cls_Ring__and__Field_Oabs__mult_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.mbypJvyswI/E---3.1_1581.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(X1),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.mbypJvyswI/E---3.1_1581.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.mbypJvyswI/E---3.1_1581.p',cls_OrderedGroup_Oabs__ge__zero_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.mbypJvyswI/E---3.1_1581.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c_0_10,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_11,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_21 ).
cnf(c_0_12,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(X1)),t_b),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
cls_conjecture_1 ).
cnf(c_0_13,plain,
( c_times(c_times(X1,X2,X3),X4,X3) = c_times(X1,c_times(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
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,axiom,
( c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_Ring__and__Field_Oabs__mult_0 ).
cnf(c_0_17,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_18,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(c_times(X1,X2,t_b))),t_b),t_b),c_times(X1,c_times(X2,c_HOL_Oabs(v_f(v_x(c_times(X1,X2,t_b))),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_19,plain,
( c_lessequals(c_HOL_Oabs(c_times(X1,X2,X3),X3),c_times(c_HOL_Oabs(X1,X3),X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_lessequals(c_0,c_HOL_Oabs(X1,X3),X3)
| ~ c_lessequals(c_HOL_Oabs(X2,X3),X4,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(v_b(v_x(c_times(c_HOL_Oabs(v_c,t_b),X1,t_b))),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(v_c,t_b),X1,t_b))),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_c,t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_14])]) ).
cnf(c_0_21,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(X1),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b),
cls_conjecture_0 ).
cnf(c_0_22,negated_conjecture,
~ c_lessequals(c_0,c_HOL_Oabs(v_c,t_b),t_b),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,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_24,negated_conjecture,
~ class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
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_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ANA017-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 14:35:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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.mbypJvyswI/E---3.1_1581.p
% 0.21/0.50 # Version: 3.1pre001
% 0.21/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50 # Starting sh5l with 300s (1) cores
% 0.21/0.50 # sh5l with pid 1710 completed with status 0
% 0.21/0.50 # Result found by sh5l
% 0.21/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50 # Starting sh5l with 300s (1) cores
% 0.21/0.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.50 # Search class: FHUSF-FFSF31-MFFFFFNN
% 0.21/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.50 # SAT001_MinMin_p005000_rr_RG with pid 1717 completed with status 0
% 0.21/0.50 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50 # Starting sh5l with 300s (1) cores
% 0.21/0.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.50 # Search class: FHUSF-FFSF31-MFFFFFNN
% 0.21/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.50 # Preprocessing time : 0.001 s
% 0.21/0.50 # Presaturation interreduction done
% 0.21/0.50
% 0.21/0.50 # Proof found!
% 0.21/0.50 # SZS status Unsatisfiable
% 0.21/0.50 # SZS output start CNFRefutation
% See solution above
% 0.21/0.50 # Parsed axioms : 10
% 0.21/0.50 # Removed by relevancy pruning/SinE : 0
% 0.21/0.50 # Initial clauses : 10
% 0.21/0.50 # Removed in clause preprocessing : 0
% 0.21/0.50 # Initial clauses in saturation : 10
% 0.21/0.50 # Processed clauses : 44
% 0.21/0.50 # ...of these trivial : 0
% 0.21/0.50 # ...subsumed : 7
% 0.21/0.50 # ...remaining for further processing : 37
% 0.21/0.50 # Other redundant clauses eliminated : 0
% 0.21/0.50 # Clauses deleted for lack of memory : 0
% 0.21/0.50 # Backward-subsumed : 2
% 0.21/0.50 # Backward-rewritten : 0
% 0.21/0.50 # Generated clauses : 134
% 0.21/0.50 # ...of the previous two non-redundant : 133
% 0.21/0.50 # ...aggressively subsumed : 0
% 0.21/0.50 # Contextual simplify-reflections : 2
% 0.21/0.50 # Paramodulations : 134
% 0.21/0.50 # Factorizations : 0
% 0.21/0.50 # NegExts : 0
% 0.21/0.50 # Equation resolutions : 0
% 0.21/0.50 # Total rewrite steps : 97
% 0.21/0.50 # Propositional unsat checks : 0
% 0.21/0.50 # Propositional check models : 0
% 0.21/0.50 # Propositional check unsatisfiable : 0
% 0.21/0.50 # Propositional clauses : 0
% 0.21/0.50 # Propositional clauses after purity: 0
% 0.21/0.50 # Propositional unsat core size : 0
% 0.21/0.50 # Propositional preprocessing time : 0.000
% 0.21/0.50 # Propositional encoding time : 0.000
% 0.21/0.50 # Propositional solver time : 0.000
% 0.21/0.50 # Success case prop preproc time : 0.000
% 0.21/0.50 # Success case prop encoding time : 0.000
% 0.21/0.50 # Success case prop solver time : 0.000
% 0.21/0.50 # Current number of processed clauses : 25
% 0.21/0.50 # Positive orientable unit clauses : 2
% 0.21/0.50 # Positive unorientable unit clauses: 0
% 0.21/0.50 # Negative unit clauses : 11
% 0.21/0.50 # Non-unit-clauses : 12
% 0.21/0.50 # Current number of unprocessed clauses: 109
% 0.21/0.50 # ...number of literals in the above : 191
% 0.21/0.50 # Current number of archived formulas : 0
% 0.21/0.50 # Current number of archived clauses : 12
% 0.21/0.50 # Clause-clause subsumption calls (NU) : 47
% 0.21/0.50 # Rec. Clause-clause subsumption calls : 17
% 0.21/0.50 # Non-unit clause-clause subsumptions : 2
% 0.21/0.50 # Unit Clause-clause subsumption calls : 23
% 0.21/0.50 # Rewrite failures with RHS unbound : 0
% 0.21/0.50 # BW rewrite match attempts : 0
% 0.21/0.50 # BW rewrite match successes : 0
% 0.21/0.50 # Condensation attempts : 0
% 0.21/0.50 # Condensation successes : 0
% 0.21/0.50 # Termbank termtop insertions : 4495
% 0.21/0.50
% 0.21/0.50 # -------------------------------------------------
% 0.21/0.50 # User time : 0.007 s
% 0.21/0.50 # System time : 0.002 s
% 0.21/0.50 # Total time : 0.008 s
% 0.21/0.50 # Maximum resident set size: 1640 pages
% 0.21/0.50
% 0.21/0.50 # -------------------------------------------------
% 0.21/0.50 # User time : 0.010 s
% 0.21/0.50 # System time : 0.002 s
% 0.21/0.50 # Total time : 0.012 s
% 0.21/0.50 # Maximum resident set size: 1684 pages
% 0.21/0.50 % E---3.1 exiting
% 0.21/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------