%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP780+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 : Sat Jul 16 09:03:39 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 51 unt; 0 def)
% Number of atoms : 61 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 4 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 74 ( 3 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos08,axiom,
! [X5,X6,X7] :
( d(X5,X6,X7)
<=> product(X5,X6) = product(X6,X7) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos08) ).
fof(sos05,axiom,
! [X3,X4,X1,X2] : product(product(X2,X1),product(X4,X3)) = product(product(X2,X4),product(X1,X3)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos05) ).
fof(sos06,axiom,
! [X2] : product(X2,X2) = X2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos06) ).
fof(sos12,axiom,
d(c1,c2,c3),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos12) ).
fof(goals,conjecture,
d(bigC(a1,b3,c2),bigC(a2,b1,c3),bigC(a3,b2,c1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(sos07,axiom,
! [X1,X2] : product(product(product(X2,X1),X1),product(X1,product(X1,X2))) = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos07) ).
fof(sos09,axiom,
! [X4,X1,X2] : bigC(X2,X1,X4) = product(product(X2,X1),product(X4,X2)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos09) ).
fof(sos01,axiom,
! [X1,X2] : difference(X2,product(X2,X1)) = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos01) ).
fof(sos11,axiom,
d(b1,b2,b3),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos11) ).
fof(sos10,axiom,
d(a1,a2,a3),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos10) ).
fof(c_0_10,plain,
! [X8,X9,X10,X8,X9,X10] :
( ( ~ d(X8,X9,X10)
| product(X8,X9) = product(X9,X10) )
& ( product(X8,X9) != product(X9,X10)
| d(X8,X9,X10) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos08])])])]) ).
fof(c_0_11,plain,
! [X5,X6,X7,X8] : product(product(X8,X7),product(X6,X5)) = product(product(X8,X6),product(X7,X5)),
inference(variable_rename,[status(thm)],[sos05]) ).
fof(c_0_12,plain,
! [X3] : product(X3,X3) = X3,
inference(variable_rename,[status(thm)],[sos06]) ).
cnf(c_0_13,plain,
( product(X1,X2) = product(X2,X3)
| ~ d(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
d(c1,c2,c3),
inference(split_conjunct,[status(thm)],[sos12]) ).
fof(c_0_15,negated_conjecture,
~ d(bigC(a1,b3,c2),bigC(a2,b1,c3),bigC(a3,b2,c1)),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_16,plain,
! [X3,X4] : product(product(product(X4,X3),X3),product(X3,product(X3,X4))) = X3,
inference(variable_rename,[status(thm)],[sos07]) ).
cnf(c_0_17,plain,
product(product(X1,X2),product(X3,X4)) = product(product(X1,X3),product(X2,X4)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
product(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
product(c2,c3) = product(c1,c2),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_20,negated_conjecture,
~ d(bigC(a1,b3,c2),bigC(a2,b1,c3),bigC(a3,b2,c1)),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X5,X6,X7] : bigC(X7,X6,X5) = product(product(X7,X6),product(X5,X7)),
inference(variable_rename,[status(thm)],[sos09]) ).
cnf(c_0_22,plain,
product(product(product(X1,X2),X2),product(X2,product(X2,X1))) = X2,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
product(product(product(X1,X2),X3),product(product(X4,X5),X6)) = product(product(product(X1,X4),product(X2,X5)),product(X3,X6)),
inference(spm,[status(thm)],[c_0_17,c_0_17]) ).
cnf(c_0_24,plain,
product(product(X1,X2),product(X1,X3)) = product(X1,product(X2,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
product(product(X1,c2),product(X2,c3)) = product(product(X1,X2),product(c1,c2)),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
fof(c_0_26,plain,
! [X3,X4] : difference(X4,product(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[sos01]) ).
cnf(c_0_27,plain,
d(b1,b2,b3),
inference(split_conjunct,[status(thm)],[sos11]) ).
cnf(c_0_28,negated_conjecture,
~ d(bigC(a1,b3,c2),bigC(a2,b1,c3),bigC(a3,b2,c1)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
bigC(X1,X2,X3) = product(product(X1,X2),product(X3,X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
product(product(product(X1,X2),product(X2,X3)),product(product(X2,X3),product(X3,X1))) = product(X2,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_17]),c_0_23]),c_0_24]) ).
cnf(c_0_31,plain,
product(product(c1,c2),product(X1,c3)) = product(c1,product(X1,c2)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
difference(X1,product(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
product(b2,b3) = product(b1,b2),
inference(spm,[status(thm)],[c_0_13,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
~ d(product(product(a1,b3),product(c2,a1)),product(product(a2,b1),product(c3,a2)),product(product(a3,b2),product(c1,a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_35,plain,
( d(X1,X2,X3)
| product(X1,X2) != product(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_36,plain,
d(a1,a2,a3),
inference(split_conjunct,[status(thm)],[sos10]) ).
cnf(c_0_37,plain,
product(product(c1,c2),product(product(c1,c2),product(c3,c1))) = product(c1,c2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_18]),c_0_19]),c_0_19]) ).
cnf(c_0_38,plain,
difference(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_32,c_0_18]) ).
cnf(c_0_39,plain,
product(product(X1,b2),product(X2,b3)) = product(product(X1,X2),product(b1,b2)),
inference(spm,[status(thm)],[c_0_17,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
product(product(product(a2,a3),product(b1,b2)),product(product(c3,a2),product(c1,a3))) != product(product(product(a1,a2),product(b3,b1)),product(product(c2,a1),product(c3,a2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_17]),c_0_17]),c_0_17]),c_0_17]) ).
cnf(c_0_41,plain,
product(a2,a3) = product(a1,a2),
inference(spm,[status(thm)],[c_0_13,c_0_36]) ).
cnf(c_0_42,plain,
product(product(c1,c2),product(c3,c1)) = product(c1,c2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_37]),c_0_38]) ).
cnf(c_0_43,plain,
product(product(b1,b2),product(X1,b3)) = product(b1,product(X1,b2)),
inference(spm,[status(thm)],[c_0_24,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
product(product(product(a1,a2),product(b3,b1)),product(product(c2,a1),product(c3,a2))) != product(product(product(a1,a2),product(b1,b2)),product(product(c3,a2),product(c1,a3))),
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
product(product(c2,X1),product(c3,X2)) = product(product(c1,c2),product(X1,X2)),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_46,plain,
product(product(X1,a2),product(X2,a3)) = product(product(X1,X2),product(a1,a2)),
inference(spm,[status(thm)],[c_0_17,c_0_41]) ).
cnf(c_0_47,plain,
product(c3,c1) = product(c1,c2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_42]),c_0_38]) ).
cnf(c_0_48,plain,
product(product(b1,b2),product(product(b1,b2),product(b3,b1))) = product(b1,b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_43]),c_0_18]),c_0_33]),c_0_33]) ).
cnf(c_0_49,negated_conjecture,
product(product(product(a1,a2),product(b3,b1)),product(product(c1,a1),product(c2,a2))) != product(product(product(a1,a2),product(b1,b2)),product(product(c3,a2),product(c1,a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_17]) ).
cnf(c_0_50,plain,
product(product(c3,a2),product(c1,a3)) = product(product(c1,a1),product(c2,a2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_17]) ).
cnf(c_0_51,plain,
product(product(b1,b2),product(b3,b1)) = product(b1,b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_48]),c_0_38]) ).
cnf(c_0_52,negated_conjecture,
product(product(product(a1,a2),product(b3,b1)),product(product(c1,a1),product(c2,a2))) != product(product(product(a1,a2),product(b1,b2)),product(product(c1,a1),product(c2,a2))),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,plain,
product(b3,b1) = product(b1,b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_51]),c_0_38]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP780+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 14:53:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.014 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 55
% 0.23/1.41 # Proof object clause steps : 37
% 0.23/1.41 # Proof object formula steps : 18
% 0.23/1.41 # Proof object conjectures : 10
% 0.23/1.41 # Proof object clause conjectures : 7
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 11
% 0.23/1.41 # Proof object initial formulas used : 10
% 0.23/1.41 # Proof object generating inferences : 21
% 0.23/1.41 # Proof object simplifying inferences : 26
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 13
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 14
% 0.23/1.41 # Removed in clause preprocessing : 1
% 0.23/1.41 # Initial clauses in saturation : 13
% 0.23/1.41 # Processed clauses : 270
% 0.23/1.41 # ...of these trivial : 47
% 0.23/1.41 # ...subsumed : 15
% 0.23/1.41 # ...remaining for further processing : 208
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 84
% 0.23/1.41 # Generated clauses : 12868
% 0.23/1.41 # ...of the previous two non-trivial : 12047
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 12868
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 124
% 0.23/1.41 # Positive orientable unit clauses : 108
% 0.23/1.41 # Positive unorientable unit clauses: 13
% 0.23/1.41 # Negative unit clauses : 1
% 0.23/1.41 # Non-unit-clauses : 2
% 0.23/1.41 # Current number of unprocessed clauses: 8781
% 0.23/1.41 # ...number of literals in the above : 8781
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 85
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 0
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 0
% 0.23/1.41 # Non-unit clause-clause subsumptions : 0
% 0.23/1.41 # Unit Clause-clause subsumption calls : 66
% 0.23/1.41 # Rewrite failures with RHS unbound : 997
% 0.23/1.41 # BW rewrite match attempts : 586
% 0.23/1.41 # BW rewrite match successes : 331
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 251683
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.155 s
% 0.23/1.41 # System time : 0.014 s
% 0.23/1.41 # Total time : 0.169 s
% 0.23/1.41 # Maximum resident set size: 13600 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------