TSTP Solution File: LCL644+1.001 by Etableau---0.67
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%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 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 : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 10:23:35 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 481 ( 0 equ)
% Maximal formula atoms : 370 ( 68 avg)
% Number of connectives : 786 ( 312 ~; 402 |; 71 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 17 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 47 ( 0 sgn 45 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) )
| p1(X1) )
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ ( p1(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& p1(X1) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(c_0_1,plain,
! [X1] :
( epred1_1(X1)
<=> ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) )
| p1(X1) )
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ ( p1(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& p1(X1) ) ) ) ) ),
introduced(definition) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ~ ( epred1_1(X1)
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[main]),c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X4,X6,X9,X10,X12,X14] :
( ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X9)
| p2(X9)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X10)
| p1(X10)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X9)
| p2(X9)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X10)
| p1(X10)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| r1(X4,esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X9)
| p2(X9)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X10)
| p1(X10)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X6,esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X9)
| p2(X9)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( ~ r1(esk4_0,X10)
| p1(X10)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X6))
| ~ p1(X6)
| ~ p1(X6)
| ~ r1(esk1_0,X6)
| p2(X6)
| ~ p2(esk2_1(X4))
| ~ p2(X4)
| ~ r1(esk1_0,X4)
| p1(X4) )
& r1(esk1_0,esk5_0)
& ~ p1(esk5_0)
& ( ~ r1(esk5_0,X12)
| p1(X12) )
& p1(esk5_0)
& r1(esk1_0,esk6_0)
& ~ p1(esk6_0)
& ( ~ r1(esk6_0,X14)
| p1(X14) )
& p1(esk6_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])])])])]) ).
cnf(c_0_4,negated_conjecture,
~ p1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
p1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 21:51:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 # No SInE strategy applied
% 0.12/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.37 #
% 0.12/0.37 # Presaturation interreduction done
% 0.12/0.37
% 0.12/0.37 # Proof found!
% 0.12/0.37 # SZS status Theorem
% 0.12/0.37 # SZS output start CNFRefutation
% See solution above
% 0.12/0.37 # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------