TSTP Solution File: SWW196+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW196+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n007.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 : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:13:47 EDT 2024
% Result : Theorem 0.47s 0.79s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 22 unt; 0 def)
% Number of atoms : 28 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 17 ( 3 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/tmp/tmp.qFAW2bdcdK/E---3.1_7135.p',conj_1) ).
fof(conj_0,hypothesis,
( ? [X1] : v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1)
=> v_thesis____ ),
file('/export/starexec/sandbox2/tmp/tmp.qFAW2bdcdK/E---3.1_7135.p',conj_0) ).
fof(fact__096EX_Am_O_An_A_061_A2_A_K_Am_096,axiom,
? [X1] : v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1),
file('/export/starexec/sandbox2/tmp/tmp.qFAW2bdcdK/E---3.1_7135.p',fact__096EX_Am_O_An_A_061_A2_A_K_Am_096) ).
fof(fact_nat__mult__commute,axiom,
! [X20,X19] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X19,X20) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X20,X19),
file('/export/starexec/sandbox2/tmp/tmp.qFAW2bdcdK/E---3.1_7135.p',fact_nat__mult__commute) ).
fof(fact_nat__mult__2__right,axiom,
! [X10] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X10,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X10,X10),
file('/export/starexec/sandbox2/tmp/tmp.qFAW2bdcdK/E---3.1_7135.p',fact_nat__mult__2__right) ).
fof(fact_semiring__norm_I115_J,axiom,
c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
file('/export/starexec/sandbox2/tmp/tmp.qFAW2bdcdK/E---3.1_7135.p',fact_semiring__norm_I115_J) ).
fof(c_0_6,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
fof(c_0_7,hypothesis,
! [X81] :
( v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X81)
| v_thesis____ ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])]) ).
fof(c_0_8,negated_conjecture,
~ v_thesis____,
inference(fof_nnf,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact__096EX_Am_O_An_A_061_A2_A_K_Am_096])]) ).
fof(c_0_10,plain,
! [X100,X101] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X101,X100) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X100,X101),
inference(variable_rename,[status(thm)],[fact_nat__mult__commute]) ).
fof(c_0_11,plain,
! [X204] : c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X204,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X204,X204),
inference(variable_rename,[status(thm)],[fact_nat__mult__2__right]) ).
cnf(c_0_12,hypothesis,
( v_thesis____
| v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
inference(split_conjunct,[status(thm)],[fact_semiring__norm_I115_J]) ).
cnf(c_0_14,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,X2) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,hypothesis,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1) != v_na____,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_19,plain,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,esk1_0,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = v_na____,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_13]),c_0_16]) ).
cnf(c_0_20,plain,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1),
inference(rw,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_21,hypothesis,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,X1,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != v_na____,
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_22,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk1_0,esk1_0) = v_na____,
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,hypothesis,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1) != v_na____,
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_24,plain,
$false,
inference(sr,[status(thm)],[c_0_22,c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SWW196+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.14 % Command : run_E %s %d SAT
% 0.14/0.35 % Computer : n007.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 : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Jun 19 08:57:54 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.43/0.62 Running first-order model finding
% 0.43/0.62 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.qFAW2bdcdK/E---3.1_7135.p
% 0.47/0.79 # Version: 3.2.0
% 0.47/0.79 # Preprocessing class: FMLSSMSMSSSNFFN.
% 0.47/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.79 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.47/0.79 # Starting new_bool_3 with 600s (2) cores
% 0.47/0.79 # Starting new_bool_1 with 600s (2) cores
% 0.47/0.79 # Starting sh5l with 300s (1) cores
% 0.47/0.79 # new_bool_1 with pid 7215 completed with status 0
% 0.47/0.79 # Result found by new_bool_1
% 0.47/0.79 # Preprocessing class: FMLSSMSMSSSNFFN.
% 0.47/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.79 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.47/0.79 # Starting new_bool_3 with 600s (2) cores
% 0.47/0.79 # Starting new_bool_1 with 600s (2) cores
% 0.47/0.79 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.47/0.79 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.47/0.79 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.47/0.79 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 272s (1) cores
% 0.47/0.79 # Starting new_bool_1 with 61s (1) cores
% 0.47/0.79 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 7219 completed with status 0
% 0.47/0.79 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.47/0.79 # Preprocessing class: FMLSSMSMSSSNFFN.
% 0.47/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.79 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.47/0.79 # Starting new_bool_3 with 600s (2) cores
% 0.47/0.79 # Starting new_bool_1 with 600s (2) cores
% 0.47/0.79 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.47/0.79 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.47/0.79 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.47/0.79 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 272s (1) cores
% 0.47/0.79 # Preprocessing time : 0.009 s
% 0.47/0.79 # Presaturation interreduction done
% 0.47/0.79
% 0.47/0.79 # Proof found!
% 0.47/0.79 # SZS status Theorem
% 0.47/0.79 # SZS output start CNFRefutation
% See solution above
% 0.47/0.79 # Parsed axioms : 1172
% 0.47/0.79 # Removed by relevancy pruning/SinE : 474
% 0.47/0.79 # Initial clauses : 1040
% 0.47/0.79 # Removed in clause preprocessing : 52
% 0.47/0.79 # Initial clauses in saturation : 988
% 0.47/0.79 # Processed clauses : 2076
% 0.47/0.79 # ...of these trivial : 48
% 0.47/0.79 # ...subsumed : 756
% 0.47/0.79 # ...remaining for further processing : 1272
% 0.47/0.79 # Other redundant clauses eliminated : 122
% 0.47/0.79 # Clauses deleted for lack of memory : 0
% 0.47/0.79 # Backward-subsumed : 3
% 0.47/0.79 # Backward-rewritten : 33
% 0.47/0.79 # Generated clauses : 2823
% 0.47/0.79 # ...of the previous two non-redundant : 2219
% 0.47/0.79 # ...aggressively subsumed : 0
% 0.47/0.79 # Contextual simplify-reflections : 4
% 0.47/0.79 # Paramodulations : 2712
% 0.47/0.79 # Factorizations : 0
% 0.47/0.79 # NegExts : 0
% 0.47/0.79 # Equation resolutions : 126
% 0.47/0.79 # Disequality decompositions : 0
% 0.47/0.79 # Total rewrite steps : 2572
% 0.47/0.79 # ...of those cached : 1983
% 0.47/0.79 # Propositional unsat checks : 0
% 0.47/0.79 # Propositional check models : 0
% 0.47/0.79 # Propositional check unsatisfiable : 0
% 0.47/0.79 # Propositional clauses : 0
% 0.47/0.79 # Propositional clauses after purity: 0
% 0.47/0.79 # Propositional unsat core size : 0
% 0.47/0.79 # Propositional preprocessing time : 0.000
% 0.47/0.79 # Propositional encoding time : 0.000
% 0.47/0.79 # Propositional solver time : 0.000
% 0.47/0.79 # Success case prop preproc time : 0.000
% 0.47/0.79 # Success case prop encoding time : 0.000
% 0.47/0.79 # Success case prop solver time : 0.000
% 0.47/0.79 # Current number of processed clauses : 432
% 0.47/0.79 # Positive orientable unit clauses : 180
% 0.47/0.79 # Positive unorientable unit clauses: 7
% 0.47/0.79 # Negative unit clauses : 151
% 0.47/0.79 # Non-unit-clauses : 94
% 0.47/0.79 # Current number of unprocessed clauses: 1827
% 0.47/0.79 # ...number of literals in the above : 2919
% 0.47/0.79 # Current number of archived formulas : 0
% 0.47/0.79 # Current number of archived clauses : 747
% 0.47/0.79 # Clause-clause subsumption calls (NU) : 29542
% 0.47/0.79 # Rec. Clause-clause subsumption calls : 19326
% 0.47/0.79 # Non-unit clause-clause subsumptions : 214
% 0.47/0.79 # Unit Clause-clause subsumption calls : 4267
% 0.47/0.79 # Rewrite failures with RHS unbound : 0
% 0.47/0.79 # BW rewrite match attempts : 1242
% 0.47/0.79 # BW rewrite match successes : 181
% 0.47/0.79 # Condensation attempts : 0
% 0.47/0.79 # Condensation successes : 0
% 0.47/0.79 # Termbank termtop insertions : 123099
% 0.47/0.79 # Search garbage collected termcells : 13781
% 0.47/0.79
% 0.47/0.79 # -------------------------------------------------
% 0.47/0.79 # User time : 0.126 s
% 0.47/0.79 # System time : 0.011 s
% 0.47/0.79 # Total time : 0.137 s
% 0.47/0.79 # Maximum resident set size: 5556 pages
% 0.47/0.79
% 0.47/0.79 # -------------------------------------------------
% 0.47/0.79 # User time : 0.233 s
% 0.47/0.79 # System time : 0.016 s
% 0.47/0.79 # Total time : 0.249 s
% 0.47/0.79 # Maximum resident set size: 2972 pages
% 0.47/0.79 % E---3.1 exiting
% 0.47/0.79 % E exiting
%------------------------------------------------------------------------------