TSTP Solution File: ANA014-2 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : ANA014-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 17:16:00 EDT 2023
% Result : Unsatisfiable 0.22s 0.52s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 9 unt; 7 nHn; 22 RR)
% Number of literals : 76 ( 25 equ; 38 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,axiom,
( c_times(c_1,X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
file('/export/starexec/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Ofield_12,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',clsrel_Ring__and__Field_Ofield_12) ).
cnf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,axiom,
( X2 = c_0
| c_times(c_HOL_Oinverse(X2,X1),X2,X1) = c_1
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
file('/export/starexec/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_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/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_a),c_times(X1,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X1)),t_a),t_a),t_a),t_a),
file('/export/starexec/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',cls_conjecture_1) ).
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/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',cls_Ring__and__Field_Oabs__mult_0) ).
cnf(clsrel_Ring__and__Field_Ofield_21,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',clsrel_Ring__and__Field_Ofield_21) ).
cnf(cls_conjecture_0,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',cls_conjecture_0) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_34,axiom,
( class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
file('/export/starexec/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',clsrel_Ring__and__Field_Oordered__field_34) ).
cnf(clsrel_Ring__and__Field_Oordered__field_58,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
file('/export/starexec/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p',clsrel_Ring__and__Field_Oordered__field_58) ).
cnf(c_0_13,axiom,
( c_times(c_1,X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0 ).
cnf(c_0_14,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
clsrel_Ring__and__Field_Ofield_12 ).
cnf(c_0_15,axiom,
( X2 = c_0
| c_times(c_HOL_Oinverse(X2,X1),X2,X1) = c_1
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_Ring__and__Field_Ofield__class_Oaxioms__1_0 ).
cnf(c_0_16,axiom,
( class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
clsrel_Ring__and__Field_Oordered__field_0 ).
cnf(c_0_17,plain,
( c_times(c_1,X1,X2) = X1
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( c_times(c_HOL_Oinverse(X1,X2),X1,X2) = c_1
| X1 = c_0
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
tfree_tcs ).
cnf(c_0_20,plain,
( c_times(c_1,X1,X2) = X1
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_21,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_Osemigroup__mult__class_Omult__assoc_0 ).
cnf(c_0_22,negated_conjecture,
( c_times(c_HOL_Oinverse(X1,t_a),X1,t_a) = c_1
| X1 = c_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
c_times(c_1,X1,t_a) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_a),c_times(X1,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X1)),t_a),t_a),t_a),t_a),
cls_conjecture_1 ).
cnf(c_0_25,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_26,negated_conjecture,
( c_times(c_HOL_Oinverse(X1,t_a),c_times(X1,X2,t_a),t_a) = X2
| X1 = c_0
| ~ class_OrderedGroup_Osemigroup__mult(t_a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_27,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
clsrel_Ring__and__Field_Ofield_21 ).
cnf(c_0_28,negated_conjecture,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_a),c_times(X1,c_HOL_Oabs(c_times(v_c,v_f(v_x(X1)),t_a),t_a),t_a),t_a) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( c_times(c_HOL_Oinverse(X1,t_a),c_times(X1,X2,t_a),t_a) = X2
| X1 = c_0
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(X1,t_a))),t_a),c_HOL_Oabs(c_times(X1,c_times(v_c,v_f(v_x(c_HOL_Oabs(X1,t_a))),t_a),t_a),t_a),t_a) ),
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( c_times(c_HOL_Oinverse(X1,t_a),c_times(X1,X2,t_a),t_a) = X2
| X1 = c_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_16]),c_0_19])]) ).
cnf(c_0_32,negated_conjecture,
v_c != c_0,
cls_conjecture_0 ).
cnf(c_0_33,negated_conjecture,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),t_a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_34,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_Orderings_Oorder__class_Oaxioms__1_0 ).
cnf(c_0_35,negated_conjecture,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ class_Orderings_Oorder(t_a) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_36,axiom,
( class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
clsrel_Ring__and__Field_Oordered__field_34 ).
cnf(c_0_37,negated_conjecture,
~ class_Orderings_Oorder(t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_19])]) ).
cnf(c_0_38,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
clsrel_Ring__and__Field_Oordered__field_58 ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA014-2 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 15:26:46 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.E6yMS8FOr8/E---3.1_29620.p
% 0.22/0.52 # Version: 3.1pre001
% 0.22/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52 # Starting sh5l with 300s (1) cores
% 0.22/0.52 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29773 completed with status 0
% 0.22/0.52 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52 # No SInE strategy applied
% 0.22/0.52 # Search class: FGUSF-FFSF31-MFFFFFNN
% 0.22/0.52 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.52 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.52 # Starting new_bool_3 with 136s (1) cores
% 0.22/0.52 # Starting new_bool_1 with 136s (1) cores
% 0.22/0.52 # Starting sh5l with 136s (1) cores
% 0.22/0.52 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29779 completed with status 0
% 0.22/0.52 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52 # No SInE strategy applied
% 0.22/0.52 # Search class: FGUSF-FFSF31-MFFFFFNN
% 0.22/0.52 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.52 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.52 # Preprocessing time : 0.001 s
% 0.22/0.52 # Presaturation interreduction done
% 0.22/0.52
% 0.22/0.52 # Proof found!
% 0.22/0.52 # SZS status Unsatisfiable
% 0.22/0.52 # SZS output start CNFRefutation
% See solution above
% 0.22/0.52 # Parsed axioms : 13
% 0.22/0.52 # Removed by relevancy pruning/SinE : 0
% 0.22/0.52 # Initial clauses : 13
% 0.22/0.52 # Removed in clause preprocessing : 0
% 0.22/0.52 # Initial clauses in saturation : 13
% 0.22/0.52 # Processed clauses : 74
% 0.22/0.52 # ...of these trivial : 0
% 0.22/0.52 # ...subsumed : 11
% 0.22/0.52 # ...remaining for further processing : 63
% 0.22/0.52 # Other redundant clauses eliminated : 0
% 0.22/0.52 # Clauses deleted for lack of memory : 0
% 0.22/0.52 # Backward-subsumed : 5
% 0.22/0.52 # Backward-rewritten : 2
% 0.22/0.52 # Generated clauses : 181
% 0.22/0.52 # ...of the previous two non-redundant : 177
% 0.22/0.52 # ...aggressively subsumed : 0
% 0.22/0.52 # Contextual simplify-reflections : 0
% 0.22/0.52 # Paramodulations : 181
% 0.22/0.52 # Factorizations : 0
% 0.22/0.52 # NegExts : 0
% 0.22/0.52 # Equation resolutions : 0
% 0.22/0.52 # Total rewrite steps : 39
% 0.22/0.52 # Propositional unsat checks : 0
% 0.22/0.52 # Propositional check models : 0
% 0.22/0.52 # Propositional check unsatisfiable : 0
% 0.22/0.52 # Propositional clauses : 0
% 0.22/0.52 # Propositional clauses after purity: 0
% 0.22/0.52 # Propositional unsat core size : 0
% 0.22/0.52 # Propositional preprocessing time : 0.000
% 0.22/0.52 # Propositional encoding time : 0.000
% 0.22/0.52 # Propositional solver time : 0.000
% 0.22/0.52 # Success case prop preproc time : 0.000
% 0.22/0.52 # Success case prop encoding time : 0.000
% 0.22/0.52 # Success case prop solver time : 0.000
% 0.22/0.52 # Current number of processed clauses : 43
% 0.22/0.52 # Positive orientable unit clauses : 3
% 0.22/0.52 # Positive unorientable unit clauses: 0
% 0.22/0.52 # Negative unit clauses : 6
% 0.22/0.52 # Non-unit-clauses : 34
% 0.22/0.52 # Current number of unprocessed clauses: 129
% 0.22/0.52 # ...number of literals in the above : 375
% 0.22/0.52 # Current number of archived formulas : 0
% 0.22/0.52 # Current number of archived clauses : 20
% 0.22/0.52 # Clause-clause subsumption calls (NU) : 152
% 0.22/0.52 # Rec. Clause-clause subsumption calls : 130
% 0.22/0.52 # Non-unit clause-clause subsumptions : 9
% 0.22/0.52 # Unit Clause-clause subsumption calls : 37
% 0.22/0.52 # Rewrite failures with RHS unbound : 0
% 0.22/0.52 # BW rewrite match attempts : 2
% 0.22/0.52 # BW rewrite match successes : 1
% 0.22/0.52 # Condensation attempts : 0
% 0.22/0.52 # Condensation successes : 0
% 0.22/0.52 # Termbank termtop insertions : 4887
% 0.22/0.52
% 0.22/0.52 # -------------------------------------------------
% 0.22/0.52 # User time : 0.006 s
% 0.22/0.52 # System time : 0.005 s
% 0.22/0.52 # Total time : 0.011 s
% 0.22/0.52 # Maximum resident set size: 1596 pages
% 0.22/0.52
% 0.22/0.52 # -------------------------------------------------
% 0.22/0.52 # User time : 0.043 s
% 0.22/0.52 # System time : 0.010 s
% 0.22/0.52 # Total time : 0.053 s
% 0.22/0.52 # Maximum resident set size: 1684 pages
% 0.22/0.52 % E---3.1 exiting
% 0.22/0.52 % E---3.1 exiting
%------------------------------------------------------------------------------