TSTP Solution File: SWW246+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW246+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 20:10:51 EDT 2023
% Result : ContradictoryAxioms 2.49s 0.93s
% Output : CNFRefutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 41 ( 19 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 45 ( 21 ~; 16 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 28 ( 5 sgn; 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact__C0_C,axiom,
( class_Rings_Oidom(t_a)
=> ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
file('/export/starexec/sandbox/tmp/tmp.WR3hyFMBxa/E---3.1_23071.p',fact__C0_C) ).
fof(fact_order__root,axiom,
! [X11,X4,X5] :
( class_Rings_Oidom(X5)
=> ( hAPP(c_Polynomial_Opoly(X5,X4),X11) = c_Groups_Ozero__class_Ozero(X5)
<=> ( X4 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))
| c_Polynomial_Oorder(X5,X11,X4) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.WR3hyFMBxa/E---3.1_23071.p',fact_order__root) ).
fof(tfree_0,hypothesis,
class_Rings_Oidom(t_a),
file('/export/starexec/sandbox/tmp/tmp.WR3hyFMBxa/E---3.1_23071.p',tfree_0) ).
fof(fact_constant__def,axiom,
! [X2,X15,X5] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X5,X15,X2)
<=> ! [X3,X16] : hAPP(X2,X3) = hAPP(X2,X16) ),
file('/export/starexec/sandbox/tmp/tmp.WR3hyFMBxa/E---3.1_23071.p',fact_constant__def) ).
fof(c_0_4,plain,
( class_Rings_Oidom(t_a)
=> ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
inference(fof_simplification,[status(thm)],[fact__C0_C]) ).
fof(c_0_5,plain,
( ~ class_Rings_Oidom(t_a)
| ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X325,X326,X327] :
( ( hAPP(c_Polynomial_Opoly(X327,X326),X325) != c_Groups_Ozero__class_Ozero(X327)
| X326 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X327))
| c_Polynomial_Oorder(X327,X325,X326) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Rings_Oidom(X327) )
& ( X326 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X327))
| hAPP(c_Polynomial_Opoly(X327,X326),X325) = c_Groups_Ozero__class_Ozero(X327)
| ~ class_Rings_Oidom(X327) )
& ( c_Polynomial_Oorder(X327,X325,X326) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(c_Polynomial_Opoly(X327,X326),X325) = c_Groups_Ozero__class_Ozero(X327)
| ~ class_Rings_Oidom(X327) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__root])])]) ).
cnf(c_0_7,plain,
( ~ class_Rings_Oidom(t_a)
| ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
class_Rings_Oidom(t_a),
inference(split_conjunct,[status(thm)],[tfree_0]) ).
fof(c_0_9,plain,
! [X156,X157,X158,X159,X160,X161,X164,X165] :
( ( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X158,X157,X156)
| hAPP(X156,X159) = hAPP(X156,X160) )
& ( hAPP(X161,esk2_1(X161)) != hAPP(X161,esk3_1(X161))
| c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X165,X164,X161) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_constant__def])])])])]) ).
cnf(c_0_10,plain,
( hAPP(c_Polynomial_Opoly(X2,X1),X3) = c_Groups_Ozero__class_Ozero(X2)
| X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Rings_Oidom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_12,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X3,X1)
| hAPP(X1,esk2_1(X1)) != hAPP(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Oidom(X1) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk2_1(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))) != hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),esk3_1(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,hypothesis,
hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1) = c_Groups_Ozero__class_Ozero(t_a),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_16,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWW246+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n013.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 22:38:44 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.55 Running first-order model finding
% 0.16/0.55 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.WR3hyFMBxa/E---3.1_23071.p
% 2.49/0.93 # Version: 3.1pre001
% 2.49/0.93 # Preprocessing class: FMLMSMSMSSSNFFN.
% 2.49/0.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.49/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.49/0.93 # Starting new_bool_3 with 300s (1) cores
% 2.49/0.93 # Starting new_bool_1 with 300s (1) cores
% 2.49/0.93 # Starting sh5l with 300s (1) cores
% 2.49/0.93 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23148 completed with status 0
% 2.49/0.93 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.49/0.93 # Preprocessing class: FMLMSMSMSSSNFFN.
% 2.49/0.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.49/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.49/0.93 # No SInE strategy applied
% 2.49/0.93 # Search class: FGHSM-SSLM32-DFFFFFNN
% 2.49/0.93 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.49/0.93 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 2.49/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.49/0.93 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 2.49/0.93 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 2.49/0.93 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 2.49/0.93 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 23158 completed with status 0
% 2.49/0.93 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 2.49/0.93 # Preprocessing class: FMLMSMSMSSSNFFN.
% 2.49/0.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.49/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.49/0.93 # No SInE strategy applied
% 2.49/0.93 # Search class: FGHSM-SSLM32-DFFFFFNN
% 2.49/0.93 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.49/0.93 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 2.49/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.49/0.93 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 2.49/0.93 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 2.49/0.93 # Preprocessing time : 0.021 s
% 2.49/0.93 # Presaturation interreduction done
% 2.49/0.93
% 2.49/0.93 # Proof found!
% 2.49/0.93 # SZS status ContradictoryAxioms
% 2.49/0.93 # SZS output start CNFRefutation
% See solution above
% 2.49/0.93 # Parsed axioms : 1199
% 2.49/0.93 # Removed by relevancy pruning/SinE : 0
% 2.49/0.93 # Initial clauses : 1592
% 2.49/0.93 # Removed in clause preprocessing : 85
% 2.49/0.93 # Initial clauses in saturation : 1507
% 2.49/0.93 # Processed clauses : 2598
% 2.49/0.93 # ...of these trivial : 17
% 2.49/0.93 # ...subsumed : 372
% 2.49/0.93 # ...remaining for further processing : 2209
% 2.49/0.93 # Other redundant clauses eliminated : 190
% 2.49/0.93 # Clauses deleted for lack of memory : 0
% 2.49/0.93 # Backward-subsumed : 2
% 2.49/0.93 # Backward-rewritten : 10
% 2.49/0.93 # Generated clauses : 1975
% 2.49/0.93 # ...of the previous two non-redundant : 1641
% 2.49/0.93 # ...aggressively subsumed : 0
% 2.49/0.93 # Contextual simplify-reflections : 1
% 2.49/0.93 # Paramodulations : 1813
% 2.49/0.93 # Factorizations : 0
% 2.49/0.93 # NegExts : 0
% 2.49/0.93 # Equation resolutions : 195
% 2.49/0.93 # Total rewrite steps : 716
% 2.49/0.93 # Propositional unsat checks : 0
% 2.49/0.93 # Propositional check models : 0
% 2.49/0.93 # Propositional check unsatisfiable : 0
% 2.49/0.93 # Propositional clauses : 0
% 2.49/0.93 # Propositional clauses after purity: 0
% 2.49/0.93 # Propositional unsat core size : 0
% 2.49/0.93 # Propositional preprocessing time : 0.000
% 2.49/0.93 # Propositional encoding time : 0.000
% 2.49/0.93 # Propositional solver time : 0.000
% 2.49/0.93 # Success case prop preproc time : 0.000
% 2.49/0.93 # Success case prop encoding time : 0.000
% 2.49/0.93 # Success case prop solver time : 0.000
% 2.49/0.93 # Current number of processed clauses : 800
% 2.49/0.93 # Positive orientable unit clauses : 268
% 2.49/0.93 # Positive unorientable unit clauses: 0
% 2.49/0.93 # Negative unit clauses : 126
% 2.49/0.93 # Non-unit-clauses : 406
% 2.49/0.93 # Current number of unprocessed clauses: 1791
% 2.49/0.93 # ...number of literals in the above : 3953
% 2.49/0.93 # Current number of archived formulas : 0
% 2.49/0.93 # Current number of archived clauses : 1253
% 2.49/0.93 # Clause-clause subsumption calls (NU) : 216867
% 2.49/0.93 # Rec. Clause-clause subsumption calls : 129157
% 2.49/0.93 # Non-unit clause-clause subsumptions : 247
% 2.49/0.93 # Unit Clause-clause subsumption calls : 508
% 2.49/0.93 # Rewrite failures with RHS unbound : 0
% 2.49/0.93 # BW rewrite match attempts : 1208
% 2.49/0.93 # BW rewrite match successes : 71
% 2.49/0.93 # Condensation attempts : 0
% 2.49/0.93 # Condensation successes : 0
% 2.49/0.93 # Termbank termtop insertions : 187734
% 2.49/0.93
% 2.49/0.93 # -------------------------------------------------
% 2.49/0.93 # User time : 0.308 s
% 2.49/0.93 # System time : 0.014 s
% 2.49/0.93 # Total time : 0.322 s
% 2.49/0.93 # Maximum resident set size: 8780 pages
% 2.49/0.93
% 2.49/0.93 # -------------------------------------------------
% 2.49/0.93 # User time : 1.162 s
% 2.49/0.93 # System time : 0.054 s
% 2.49/0.93 # Total time : 1.216 s
% 2.49/0.93 # Maximum resident set size: 3216 pages
% 2.49/0.93 % E---3.1 exiting
%------------------------------------------------------------------------------