TSTP Solution File: SWW196+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW196+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 : 600s
% DateTime : Thu Jul 21 00:10:16 EDT 2022
% Result : Theorem 0.28s 1.44s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 25 unt; 0 def)
% Number of atoms : 33 ( 24 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 2 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_nat__mult__2,axiom,
! [X10] : 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))),X10) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X10,X10),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_nat__mult__2) ).
fof(fact_Bit0__def,axiom,
! [X7] : c_Int_OBit0(X7) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X7,X7),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_Bit0__def) ).
fof(fact_Bit1__def,axiom,
! [X7] : c_Int_OBit1(X7) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X7),X7),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_Bit1__def) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact__096EX_Am_O_An_A_061_A2_A_K_Am_096) ).
fof(fact_add__Pls__right,axiom,
! [X7] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X7,c_Int_OPls) = X7,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_add__Pls__right) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(c_0_7,plain,
! [X11] : 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))),X11) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X11,X11),
inference(variable_rename,[status(thm)],[fact_nat__mult__2]) ).
fof(c_0_8,plain,
! [X8] : c_Int_OBit0(X8) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X8,X8),
inference(variable_rename,[status(thm)],[fact_Bit0__def]) ).
fof(c_0_9,plain,
! [X8] : c_Int_OBit1(X8) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X8),X8),
inference(variable_rename,[status(thm)],[fact_Bit1__def]) ).
fof(c_0_10,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])]) ).
cnf(c_0_11,plain,
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) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
c_Int_OBit0(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
c_Int_OBit1(X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X8] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X8,c_Int_OPls) = X8,
inference(variable_rename,[status(thm)],[fact_add__Pls__right]) ).
fof(c_0_15,hypothesis,
! [X2] :
( 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))),X2)
| v_thesis____ ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])])]) ).
fof(c_0_16,negated_conjecture,
~ v_thesis____,
inference(assume_negation,[status(cth)],[conj_1]) ).
cnf(c_0_17,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_10]) ).
cnf(c_0_18,plain,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_13]) ).
cnf(c_0_19,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls) = X1,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,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_15]) ).
fof(c_0_21,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_12]),c_0_13]),c_0_13]) ).
cnf(c_0_23,plain,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_24,hypothesis,
( v_thesis____
| v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_12]),c_0_13]),c_0_13]) ).
cnf(c_0_25,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk1_0,esk1_0) = v_na____,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_23]) ).
cnf(c_0_27,hypothesis,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X1) != v_na____,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_23]),c_0_25]) ).
cnf(c_0_28,plain,
$false,
inference(sr,[status(thm)],[c_0_26,c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW196+1 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.11 % Command : run_ET %s %d
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Mon Jun 6 01:48:19 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.28/1.44 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.28/1.44 # Preprocessing time : 0.081 s
% 0.28/1.44
% 0.28/1.44 # Proof found!
% 0.28/1.44 # SZS status Theorem
% 0.28/1.44 # SZS output start CNFRefutation
% See solution above
% 0.28/1.44 # Proof object total steps : 29
% 0.28/1.44 # Proof object clause steps : 14
% 0.28/1.44 # Proof object formula steps : 15
% 0.28/1.44 # Proof object conjectures : 4
% 0.28/1.44 # Proof object clause conjectures : 1
% 0.28/1.44 # Proof object formula conjectures : 3
% 0.28/1.44 # Proof object initial clauses used : 7
% 0.28/1.44 # Proof object initial formulas used : 7
% 0.28/1.44 # Proof object generating inferences : 0
% 0.28/1.44 # Proof object simplifying inferences : 25
% 0.28/1.44 # Training examples: 0 positive, 0 negative
% 0.28/1.44 # Parsed axioms : 1172
% 0.28/1.44 # Removed by relevancy pruning/SinE : 0
% 0.28/1.44 # Initial clauses : 1692
% 0.28/1.44 # Removed in clause preprocessing : 74
% 0.28/1.44 # Initial clauses in saturation : 1618
% 0.28/1.44 # Processed clauses : 1357
% 0.28/1.44 # ...of these trivial : 32
% 0.28/1.44 # ...subsumed : 245
% 0.28/1.44 # ...remaining for further processing : 1080
% 0.28/1.44 # Other redundant clauses eliminated : 148
% 0.28/1.44 # Clauses deleted for lack of memory : 0
% 0.28/1.44 # Backward-subsumed : 0
% 0.28/1.44 # Backward-rewritten : 8
% 0.28/1.44 # Generated clauses : 46594
% 0.28/1.44 # ...of the previous two non-trivial : 39806
% 0.28/1.44 # Contextual simplify-reflections : 25
% 0.28/1.44 # Paramodulations : 46402
% 0.28/1.44 # Factorizations : 12
% 0.28/1.44 # Equation resolutions : 179
% 0.28/1.44 # Current number of processed clauses : 1045
% 0.28/1.44 # Positive orientable unit clauses : 276
% 0.28/1.44 # Positive unorientable unit clauses: 8
% 0.28/1.44 # Negative unit clauses : 23
% 0.28/1.44 # Non-unit-clauses : 738
% 0.28/1.44 # Current number of unprocessed clauses: 39289
% 0.28/1.44 # ...number of literals in the above : 117390
% 0.28/1.44 # Current number of archived formulas : 0
% 0.28/1.44 # Current number of archived clauses : 12
% 0.28/1.44 # Clause-clause subsumption calls (NU) : 40948
% 0.28/1.44 # Rec. Clause-clause subsumption calls : 32116
% 0.28/1.44 # Non-unit clause-clause subsumptions : 246
% 0.28/1.44 # Unit Clause-clause subsumption calls : 396
% 0.28/1.44 # Rewrite failures with RHS unbound : 0
% 0.28/1.44 # BW rewrite match attempts : 447
% 0.28/1.44 # BW rewrite match successes : 59
% 0.28/1.44 # Condensation attempts : 0
% 0.28/1.44 # Condensation successes : 0
% 0.28/1.44 # Termbank termtop insertions : 876200
% 0.28/1.44
% 0.28/1.44 # -------------------------------------------------
% 0.28/1.44 # User time : 0.494 s
% 0.28/1.44 # System time : 0.016 s
% 0.28/1.44 # Total time : 0.510 s
% 0.28/1.44 # Maximum resident set size: 40668 pages
% 0.28/23.43 eprover: CPU time limit exceeded, terminating
% 0.28/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.44 eprover: No such file or directory
% 0.28/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.45 eprover: No such file or directory
% 0.28/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.45 eprover: No such file or directory
% 0.28/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.45 eprover: No such file or directory
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.28/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------