TSTP Solution File: SWV680-1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV680-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 20:07:38 EDT 2023
% Result : Unsatisfiable 11.97s 2.09s
% Output : CNFRefutation 11.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 24 ( 11 unt; 2 nHn; 17 RR)
% Number of literals : 41 ( 22 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 34 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_k,v_i,tc_nat),t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_j,t_a),c_Power_Opower__class_Opower(v_a,v_k,t_a),t_a),v_i,t_a),
file('/export/starexec/sandbox2/tmp/tmp.84XO6m2BS8/E---3.1_15423.p',cls_conjecture_1) ).
cnf(cls_nonzero__power__divide_0,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.84XO6m2BS8/E---3.1_15423.p',cls_nonzero__power__divide_0) ).
cnf(cls_nat__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.84XO6m2BS8/E---3.1_15423.p',cls_nat__mult__commute_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox2/tmp/tmp.84XO6m2BS8/E---3.1_15423.p',tfree_tcs) ).
cnf(cls_class__semiring_Opwr__pwr_0,axiom,
( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1) = c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.84XO6m2BS8/E---3.1_15423.p',cls_class__semiring_Opwr__pwr_0) ).
cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.84XO6m2BS8/E---3.1_15423.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_field__power__not__zero_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.84XO6m2BS8/E---3.1_15423.p',cls_field__power__not__zero_0) ).
cnf(cls_conjecture_0,negated_conjecture,
v_a != c_HOL_Ozero__class_Ozero(t_a),
file('/export/starexec/sandbox2/tmp/tmp.84XO6m2BS8/E---3.1_15423.p',cls_conjecture_0) ).
cnf(clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1__no__zero__divisors,axiom,
( class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.84XO6m2BS8/E---3.1_15423.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1__no__zero__divisors) ).
cnf(c_0_9,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_k,v_i,tc_nat),t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_j,t_a),c_Power_Opower__class_Opower(v_a,v_k,t_a),t_a),v_i,t_a),
cls_conjecture_1 ).
cnf(c_0_10,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_nonzero__power__divide_0 ).
cnf(c_0_11,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),
cls_nat__mult__commute_0 ).
cnf(c_0_12,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
tfree_tcs ).
cnf(c_0_13,axiom,
( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1) = c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Opwr__pwr_0 ).
cnf(c_0_14,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_15,negated_conjecture,
( c_Power_Opower__class_Opower(v_a,v_k,t_a) = c_HOL_Ozero__class_Ozero(t_a)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(v_a,v_j,t_a),v_i,t_a),c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(v_a,v_k,t_a),v_i,t_a),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_k,tc_nat),t_a),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]) ).
cnf(c_0_16,plain,
( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X3),X4,X3) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( c_Power_Opower__class_Opower(v_a,v_k,t_a) = c_HOL_Ozero__class_Ozero(t_a)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(v_a,v_j,t_a),v_i,t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_k,tc_nat),t_a),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),t_a),c_Power_Opower__class_Opower(v_a,c_HOL_Otimes__class_Otimes(v_i,v_k,tc_nat),t_a),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_11]),c_0_12])]) ).
cnf(c_0_18,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_field__power__not__zero_0 ).
cnf(c_0_19,negated_conjecture,
c_Power_Opower__class_Opower(v_a,v_k,t_a) = c_HOL_Ozero__class_Ozero(t_a),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_16]),c_0_12])]),c_0_11]) ).
cnf(c_0_20,negated_conjecture,
v_a != c_HOL_Ozero__class_Ozero(t_a),
cls_conjecture_0 ).
cnf(c_0_21,negated_conjecture,
~ class_Ring__and__Field_Oring__1__no__zero__divisors(t_a),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_22,axiom,
( class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
clsrel_Ring__and__Field_Ofield_Ring__and__Field_Oring__1__no__zero__divisors ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : SWV680-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.16 % Command : run_E %s %d THM
% 0.14/0.37 % Computer : n019.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 2400
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Oct 3 04:40:06 EDT 2023
% 0.14/0.38 % CPUTime :
% 0.20/0.57 Running first-order model finding
% 0.20/0.57 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.84XO6m2BS8/E---3.1_15423.p
% 11.97/2.09 # Version: 3.1pre001
% 11.97/2.09 # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.97/2.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.97/2.09 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.97/2.09 # Starting new_bool_3 with 300s (1) cores
% 11.97/2.09 # Starting new_bool_1 with 300s (1) cores
% 11.97/2.09 # Starting sh5l with 300s (1) cores
% 11.97/2.09 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 15500 completed with status 0
% 11.97/2.09 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 11.97/2.09 # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.97/2.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.97/2.09 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.97/2.09 # No SInE strategy applied
% 11.97/2.09 # Search class: FGHSS-FSLM32-MFFFFFNN
% 11.97/2.09 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 11.97/2.09 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 811s (1) cores
% 11.97/2.09 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 11.97/2.09 # Starting new_bool_3 with 136s (1) cores
% 11.97/2.09 # Starting new_bool_1 with 136s (1) cores
% 11.97/2.09 # Starting sh5l with 136s (1) cores
% 11.97/2.09 # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 15507 completed with status 0
% 11.97/2.09 # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 11.97/2.09 # Preprocessing class: FSLSSMSSSSSNFFN.
% 11.97/2.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.97/2.09 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 11.97/2.09 # No SInE strategy applied
% 11.97/2.09 # Search class: FGHSS-FSLM32-MFFFFFNN
% 11.97/2.09 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 11.97/2.09 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 811s (1) cores
% 11.97/2.09 # Preprocessing time : 0.010 s
% 11.97/2.09 # Presaturation interreduction done
% 11.97/2.09
% 11.97/2.09 # Proof found!
% 11.97/2.09 # SZS status Unsatisfiable
% 11.97/2.09 # SZS output start CNFRefutation
% See solution above
% 11.97/2.09 # Parsed axioms : 731
% 11.97/2.09 # Removed by relevancy pruning/SinE : 0
% 11.97/2.09 # Initial clauses : 731
% 11.97/2.09 # Removed in clause preprocessing : 0
% 11.97/2.09 # Initial clauses in saturation : 731
% 11.97/2.09 # Processed clauses : 17505
% 11.97/2.09 # ...of these trivial : 107
% 11.97/2.09 # ...subsumed : 14288
% 11.97/2.09 # ...remaining for further processing : 3110
% 11.97/2.09 # Other redundant clauses eliminated : 844
% 11.97/2.09 # Clauses deleted for lack of memory : 0
% 11.97/2.09 # Backward-subsumed : 147
% 11.97/2.09 # Backward-rewritten : 31
% 11.97/2.09 # Generated clauses : 60603
% 11.97/2.09 # ...of the previous two non-redundant : 55622
% 11.97/2.09 # ...aggressively subsumed : 0
% 11.97/2.09 # Contextual simplify-reflections : 53
% 11.97/2.09 # Paramodulations : 59721
% 11.97/2.09 # Factorizations : 8
% 11.97/2.09 # NegExts : 0
% 11.97/2.09 # Equation resolutions : 872
% 11.97/2.09 # Total rewrite steps : 38066
% 11.97/2.09 # Propositional unsat checks : 0
% 11.97/2.09 # Propositional check models : 0
% 11.97/2.09 # Propositional check unsatisfiable : 0
% 11.97/2.09 # Propositional clauses : 0
% 11.97/2.09 # Propositional clauses after purity: 0
% 11.97/2.09 # Propositional unsat core size : 0
% 11.97/2.09 # Propositional preprocessing time : 0.000
% 11.97/2.09 # Propositional encoding time : 0.000
% 11.97/2.09 # Propositional solver time : 0.000
% 11.97/2.09 # Success case prop preproc time : 0.000
% 11.97/2.09 # Success case prop encoding time : 0.000
% 11.97/2.09 # Success case prop solver time : 0.000
% 11.97/2.09 # Current number of processed clauses : 2375
% 11.97/2.09 # Positive orientable unit clauses : 145
% 11.97/2.09 # Positive unorientable unit clauses: 12
% 11.97/2.09 # Negative unit clauses : 48
% 11.97/2.09 # Non-unit-clauses : 2170
% 11.97/2.09 # Current number of unprocessed clauses: 39093
% 11.97/2.09 # ...number of literals in the above : 167899
% 11.97/2.09 # Current number of archived formulas : 0
% 11.97/2.09 # Current number of archived clauses : 735
% 11.97/2.09 # Clause-clause subsumption calls (NU) : 1078518
% 11.97/2.09 # Rec. Clause-clause subsumption calls : 370840
% 11.97/2.09 # Non-unit clause-clause subsumptions : 11738
% 11.97/2.09 # Unit Clause-clause subsumption calls : 7825
% 11.97/2.09 # Rewrite failures with RHS unbound : 0
% 11.97/2.09 # BW rewrite match attempts : 1120
% 11.97/2.09 # BW rewrite match successes : 223
% 11.97/2.09 # Condensation attempts : 0
% 11.97/2.09 # Condensation successes : 0
% 11.97/2.09 # Termbank termtop insertions : 1242428
% 11.97/2.09
% 11.97/2.09 # -------------------------------------------------
% 11.97/2.09 # User time : 1.396 s
% 11.97/2.09 # System time : 0.036 s
% 11.97/2.09 # Total time : 1.432 s
% 11.97/2.09 # Maximum resident set size: 3096 pages
% 11.97/2.09
% 11.97/2.09 # -------------------------------------------------
% 11.97/2.09 # User time : 7.170 s
% 11.97/2.09 # System time : 0.071 s
% 11.97/2.09 # Total time : 7.241 s
% 11.97/2.09 # Maximum resident set size: 2228 pages
% 11.97/2.09 % E---3.1 exiting
%------------------------------------------------------------------------------