TSTP Solution File: NUN084+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN084+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 : Sun May 5 08:44:35 EDT 2024
% Result : Theorem 0.69s 0.83s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of formulae : 107 ( 53 unt; 0 def)
% Number of atoms : 300 ( 94 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 263 ( 70 ~; 39 |; 137 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 279 ( 189 !; 90 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f547,plain,
$false,
inference(subsumption_resolution,[],[f545,f105]) ).
fof(f105,plain,
! [X0] : r2(X0,sK18(X0)),
inference(equality_resolution,[],[f87]) ).
fof(f87,plain,
! [X2,X0] :
( r2(X0,X2)
| sK18(X0) != X2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X2] :
( ( sK18(X0) = X2
& r2(X0,X2) )
| ( sK18(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f24,f50]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK18(X0) = X2
& r2(X0,X2) )
| ( sK18(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YKasPicCuA/Vampire---4.8_11547',axiom_2) ).
fof(f545,plain,
~ r2(sK18(sK19),sK18(sK18(sK19))),
inference(superposition,[],[f540,f234]) ).
fof(f234,plain,
! [X0] : sK18(X0) = sK14(X0,sK19),
inference(resolution,[],[f228,f88]) ).
fof(f88,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| sK18(X0) = X2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f228,plain,
! [X0] : r2(X0,sK14(X0,sK19)),
inference(superposition,[],[f216,f208]) ).
fof(f208,plain,
! [X0] : sK17(X0,sK19) = X0,
inference(resolution,[],[f84,f152]) ).
fof(f152,plain,
! [X0] : r3(X0,sK19,X0),
inference(backward_demodulation,[],[f108,f135]) ).
fof(f135,plain,
! [X0] : sK7(X0) = sK19,
inference(resolution,[],[f92,f64]) ).
fof(f64,plain,
! [X0] : r1(sK7(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( sK6(X0) = X0
& r3(X0,sK7(X0),sK6(X0))
& r1(sK7(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f18,f34,f33]) ).
fof(f33,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) )
=> ( sK6(X0) = X0
& ? [X2] :
( r3(X0,X2,sK6(X0))
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK6(X0))
& r1(X2) )
=> ( r3(X0,sK7(X0),sK6(X0))
& r1(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( X29 = X30
& ? [X31] :
( r3(X29,X31,X30)
& r1(X31) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YKasPicCuA/Vampire---4.8_11547',axiom_4a) ).
fof(f92,plain,
! [X1] :
( ~ r1(X1)
| sK19 = X1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1] :
( ( sK19 = X1
& r1(X1) )
| ( sK19 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f1,f52]) ).
fof(f52,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK19 = X1
& r1(X1) )
| ( sK19 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YKasPicCuA/Vampire---4.8_11547',axiom_1) ).
fof(f108,plain,
! [X0] : r3(X0,sK7(X0),X0),
inference(forward_demodulation,[],[f65,f66]) ).
fof(f66,plain,
! [X0] : sK6(X0) = X0,
inference(cnf_transformation,[],[f35]) ).
fof(f65,plain,
! [X0] : r3(X0,sK7(X0),sK6(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f84,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| sK17(X0,X1) = X3 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X3] :
( ( sK17(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK17(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f23,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) )
=> ! [X3] :
( ( sK17(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK17(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( X7 = X8
& r3(X5,X6,X8) )
| ( X7 != X8
& ~ r3(X5,X6,X8) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YKasPicCuA/Vampire---4.8_11547',axiom_3) ).
fof(f216,plain,
! [X0,X1] : r2(sK17(X0,X1),sK14(X0,X1)),
inference(backward_demodulation,[],[f96,f209]) ).
fof(f209,plain,
! [X0,X1] : sK13(X0,X1) = sK17(X0,X1),
inference(resolution,[],[f84,f77]) ).
fof(f77,plain,
! [X0,X1] : r3(X0,X1,sK13(X0,X1)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( r3(X0,X1,sK13(X0,X1))
& r2(sK13(X0,X1),sK12(X0,X1))
& sK12(X0,X1) = sK14(X0,X1)
& r3(X0,sK15(X0,X1),sK14(X0,X1))
& r2(X1,sK15(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15])],[f21,f44,f43,f42,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK12(X0,X1)) )
& ? [X4] :
( sK12(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK12(X0,X1)) )
=> ( r3(X0,X1,sK13(X0,X1))
& r2(sK13(X0,X1),sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X4] :
( sK12(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK12(X0,X1) = sK14(X0,X1)
& ? [X5] :
( r3(X0,X5,sK14(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK14(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK15(X0,X1),sK14(X0,X1))
& r2(X1,sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YKasPicCuA/Vampire---4.8_11547',axiom_1a) ).
fof(f96,plain,
! [X0,X1] : r2(sK13(X0,X1),sK14(X0,X1)),
inference(definition_unfolding,[],[f76,f75]) ).
fof(f75,plain,
! [X0,X1] : sK12(X0,X1) = sK14(X0,X1),
inference(cnf_transformation,[],[f45]) ).
fof(f76,plain,
! [X0,X1] : r2(sK13(X0,X1),sK12(X0,X1)),
inference(cnf_transformation,[],[f45]) ).
fof(f540,plain,
! [X0] : ~ r2(sK18(sK19),sK18(sK14(sK19,X0))),
inference(superposition,[],[f539,f249]) ).
fof(f249,plain,
! [X0,X1] : sK14(X0,sK18(X1)) = sK18(sK14(X0,X1)),
inference(superposition,[],[f215,f211]) ).
fof(f211,plain,
! [X0,X1] : sK14(X0,X1) = sK17(X0,sK18(X1)),
inference(resolution,[],[f84,f176]) ).
fof(f176,plain,
! [X0,X1] : r3(X0,sK18(X1),sK14(X0,X1)),
inference(backward_demodulation,[],[f74,f169]) ).
fof(f169,plain,
! [X0,X1] : sK18(X0) = sK15(X1,X0),
inference(resolution,[],[f88,f73]) ).
fof(f73,plain,
! [X0,X1] : r2(X1,sK15(X0,X1)),
inference(cnf_transformation,[],[f45]) ).
fof(f74,plain,
! [X0,X1] : r3(X0,sK15(X0,X1),sK14(X0,X1)),
inference(cnf_transformation,[],[f45]) ).
fof(f215,plain,
! [X0,X1] : sK14(X0,X1) = sK18(sK17(X0,X1)),
inference(backward_demodulation,[],[f180,f209]) ).
fof(f180,plain,
! [X0,X1] : sK14(X0,X1) = sK18(sK13(X0,X1)),
inference(resolution,[],[f96,f88]) ).
fof(f539,plain,
! [X0] : ~ r2(sK18(sK19),sK14(sK19,X0)),
inference(superposition,[],[f525,f211]) ).
fof(f525,plain,
! [X0] : ~ r2(sK18(sK19),sK17(sK19,X0)),
inference(superposition,[],[f181,f246]) ).
fof(f246,plain,
! [X0] : sK10(X0,sK19) = sK17(sK19,X0),
inference(resolution,[],[f225,f84]) ).
fof(f225,plain,
! [X0] : r3(sK19,X0,sK10(X0,sK19)),
inference(superposition,[],[f206,f201]) ).
fof(f201,plain,
! [X0] : sK19 = sK16(X0,sK19),
inference(resolution,[],[f80,f150]) ).
fof(f150,plain,
! [X0] : r4(X0,sK19,sK19),
inference(backward_demodulation,[],[f138,f134]) ).
fof(f134,plain,
! [X0] : sK5(X0) = sK19,
inference(resolution,[],[f92,f60]) ).
fof(f60,plain,
! [X0] : r1(sK5(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( sK3(X0) = sK4(X0)
& r1(sK4(X0))
& r4(X0,sK5(X0),sK3(X0))
& r1(sK5(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f17,f31,f30,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( sK3(X0) = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,sK3(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X2] :
( sK3(X0) = X2
& r1(X2) )
=> ( sK3(X0) = sK4(X0)
& r1(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK3(X0))
& r1(X3) )
=> ( r4(X0,sK5(X0),sK3(X0))
& r1(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X35] :
( X33 = X35
& r1(X35) )
& ? [X34] :
( r4(X32,X34,X33)
& r1(X34) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YKasPicCuA/Vampire---4.8_11547',axiom_5a) ).
fof(f138,plain,
! [X0] : r4(X0,sK5(X0),sK19),
inference(backward_demodulation,[],[f94,f133]) ).
fof(f133,plain,
! [X0] : sK4(X0) = sK19,
inference(resolution,[],[f92,f62]) ).
fof(f62,plain,
! [X0] : r1(sK4(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f94,plain,
! [X0] : r4(X0,sK5(X0),sK4(X0)),
inference(definition_unfolding,[],[f61,f63]) ).
fof(f63,plain,
! [X0] : sK3(X0) = sK4(X0),
inference(cnf_transformation,[],[f32]) ).
fof(f61,plain,
! [X0] : r4(X0,sK5(X0),sK3(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f80,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| sK16(X0,X1) = X3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X3] :
( ( sK16(X0,X1) = X3
& r4(X0,X1,X3) )
| ( sK16(X0,X1) != X3
& ~ r4(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f22,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( X2 != X3
& ~ r4(X0,X1,X3) ) )
=> ! [X3] :
( ( sK16(X0,X1) = X3
& r4(X0,X1,X3) )
| ( sK16(X0,X1) != X3
& ~ r4(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( X2 != X3
& ~ r4(X0,X1,X3) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X9,X10] :
? [X11] :
! [X12] :
( ( X11 = X12
& r4(X9,X10,X12) )
| ( X11 != X12
& ~ r4(X9,X10,X12) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YKasPicCuA/Vampire---4.8_11547',axiom_4) ).
fof(f206,plain,
! [X0,X1] : r3(sK16(X0,X1),X0,sK10(X0,X1)),
inference(backward_demodulation,[],[f95,f202]) ).
fof(f202,plain,
! [X0,X1] : sK9(X0,X1) = sK16(X0,X1),
inference(resolution,[],[f80,f72]) ).
fof(f72,plain,
! [X0,X1] : r4(X0,X1,sK9(X0,X1)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( r4(X0,X1,sK9(X0,X1))
& r3(sK9(X0,X1),X0,sK8(X0,X1))
& sK8(X0,X1) = sK10(X0,X1)
& r4(X0,sK11(X0,X1),sK10(X0,X1))
& r2(X1,sK11(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f20,f39,f38,f37,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK8(X0,X1)) )
& ? [X4] :
( sK8(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK8(X0,X1)) )
=> ( r4(X0,X1,sK9(X0,X1))
& r3(sK9(X0,X1),X0,sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X4] :
( sK8(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK8(X0,X1) = sK10(X0,X1)
& ? [X5] :
( r4(X0,X5,sK10(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X5] :
( r4(X0,X5,sK10(X0,X1))
& r2(X1,X5) )
=> ( r4(X0,sK11(X0,X1),sK10(X0,X1))
& r2(X1,sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X24] :
( r4(X19,X20,X24)
& r3(X24,X19,X21) )
& ? [X22] :
( X21 = X22
& ? [X23] :
( r4(X19,X23,X22)
& r2(X20,X23) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.YKasPicCuA/Vampire---4.8_11547',axiom_2a) ).
fof(f95,plain,
! [X0,X1] : r3(sK9(X0,X1),X0,sK10(X0,X1)),
inference(definition_unfolding,[],[f71,f70]) ).
fof(f70,plain,
! [X0,X1] : sK8(X0,X1) = sK10(X0,X1),
inference(cnf_transformation,[],[f40]) ).
fof(f71,plain,
! [X0,X1] : r3(sK9(X0,X1),X0,sK8(X0,X1)),
inference(cnf_transformation,[],[f40]) ).
fof(f181,plain,
! [X0,X1] : ~ r2(sK18(sK19),sK10(X0,X1)),
inference(resolution,[],[f171,f124]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ r4(X1,X2,X0)
| ~ r2(sK18(sK19),X0) ),
inference(resolution,[],[f105,f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ r2(sK19,X0)
| ~ r2(X0,X1)
| ~ r4(X2,X3,X1) ),
inference(resolution,[],[f107,f97]) ).
fof(f97,plain,
! [X3,X0,X1,X4,X5] :
( ~ r1(X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r4(X0,X1,X3) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X3)
| X2 != X3
| ~ r4(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
| ~ r2(X4,X3) )
| X2 != X3 )
| ~ r4(X0,X1,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( r2(X5,X4)
& r1(X5) )
& r2(X4,X3) )
& X2 = X3 )
& r4(X0,X1,X2) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38,X21,X22] :
( ? [X15] :
( ? [X16] :
( ? [X24] :
( r2(X24,X16)
& r1(X24) )
& r2(X16,X15) )
& X15 = X22 )
& r4(X38,X21,X22) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38,X21,X22] :
( ? [X15] :
( ? [X16] :
( ? [X24] :
( r2(X24,X16)
& r1(X24) )
& r2(X16,X15) )
& X15 = X22 )
& r4(X38,X21,X22) ),
file('/export/starexec/sandbox2/tmp/tmp.YKasPicCuA/Vampire---4.8_11547',xtimesyeqtwo) ).
fof(f107,plain,
r1(sK19),
inference(equality_resolution,[],[f91]) ).
fof(f91,plain,
! [X1] :
( r1(X1)
| sK19 != X1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f171,plain,
! [X0,X1] : r4(X0,sK18(X1),sK10(X0,X1)),
inference(backward_demodulation,[],[f69,f168]) ).
fof(f168,plain,
! [X0,X1] : sK18(X0) = sK11(X1,X0),
inference(resolution,[],[f88,f68]) ).
fof(f68,plain,
! [X0,X1] : r2(X1,sK11(X0,X1)),
inference(cnf_transformation,[],[f40]) ).
fof(f69,plain,
! [X0,X1] : r4(X0,sK11(X0,X1),sK10(X0,X1)),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN084+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n016.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 : Fri May 3 18:52:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.YKasPicCuA/Vampire---4.8_11547
% 0.61/0.81 % (11747)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.81 % (11743)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.81 % (11745)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81 % (11748)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.81 % (11744)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.81 % (11749)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.81 % (11750)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.81 % (11751)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.81 % (11748)Refutation not found, incomplete strategy% (11748)------------------------------
% 0.61/0.81 % (11748)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (11748)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (11748)Memory used [KB]: 1057
% 0.61/0.81 % (11748)Time elapsed: 0.003 s
% 0.61/0.81 % (11748)Instructions burned: 4 (million)
% 0.61/0.81 % (11749)Refutation not found, incomplete strategy% (11749)------------------------------
% 0.61/0.81 % (11749)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (11748)------------------------------
% 0.61/0.81 % (11748)------------------------------
% 0.61/0.81 % (11749)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (11749)Memory used [KB]: 1054
% 0.61/0.81 % (11749)Time elapsed: 0.004 s
% 0.61/0.81 % (11749)Instructions burned: 4 (million)
% 0.61/0.81 % (11747)Refutation not found, incomplete strategy% (11747)------------------------------
% 0.61/0.81 % (11747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (11747)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (11747)Memory used [KB]: 1063
% 0.61/0.81 % (11747)Time elapsed: 0.004 s
% 0.61/0.81 % (11747)Instructions burned: 4 (million)
% 0.61/0.81 % (11743)Refutation not found, incomplete strategy% (11743)------------------------------
% 0.61/0.81 % (11743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (11743)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (11743)Memory used [KB]: 1058
% 0.61/0.81 % (11743)Time elapsed: 0.004 s
% 0.61/0.81 % (11743)Instructions burned: 5 (million)
% 0.61/0.81 % (11747)------------------------------
% 0.61/0.81 % (11747)------------------------------
% 0.61/0.81 % (11749)------------------------------
% 0.61/0.81 % (11749)------------------------------
% 0.61/0.81 % (11743)------------------------------
% 0.61/0.81 % (11743)------------------------------
% 0.61/0.81 % (11751)Refutation not found, incomplete strategy% (11751)------------------------------
% 0.61/0.81 % (11751)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (11751)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (11751)Memory used [KB]: 1065
% 0.61/0.81 % (11751)Time elapsed: 0.004 s
% 0.61/0.81 % (11751)Instructions burned: 5 (million)
% 0.61/0.81 % (11751)------------------------------
% 0.61/0.81 % (11751)------------------------------
% 0.61/0.81 % (11754)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.81 % (11757)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.81 % (11756)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.81 % (11755)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.81 % (11758)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.82 % (11750)Refutation not found, incomplete strategy% (11750)------------------------------
% 0.61/0.82 % (11750)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (11750)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (11750)Memory used [KB]: 1142
% 0.61/0.82 % (11750)Time elapsed: 0.010 s
% 0.61/0.82 % (11750)Instructions burned: 14 (million)
% 0.61/0.82 % (11754)Refutation not found, incomplete strategy% (11754)------------------------------
% 0.61/0.82 % (11754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (11750)------------------------------
% 0.61/0.82 % (11750)------------------------------
% 0.61/0.82 % (11754)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (11754)Memory used [KB]: 1065
% 0.61/0.82 % (11758)Refutation not found, incomplete strategy% (11758)------------------------------
% 0.61/0.82 % (11758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (11758)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (11758)Memory used [KB]: 1055
% 0.61/0.82 % (11758)Time elapsed: 0.004 s
% 0.61/0.82 % (11758)Instructions burned: 4 (million)
% 0.61/0.82 % (11754)Time elapsed: 0.005 s
% 0.61/0.82 % (11754)Instructions burned: 5 (million)
% 0.61/0.82 % (11758)------------------------------
% 0.61/0.82 % (11758)------------------------------
% 0.61/0.82 % (11754)------------------------------
% 0.61/0.82 % (11754)------------------------------
% 0.69/0.82 % (11759)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.69/0.82 % (11760)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.69/0.82 % (11761)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.69/0.82 % (11759)Refutation not found, incomplete strategy% (11759)------------------------------
% 0.69/0.82 % (11759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.82 % (11759)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.82
% 0.69/0.82 % (11759)Memory used [KB]: 1070
% 0.69/0.82 % (11759)Time elapsed: 0.004 s
% 0.69/0.82 % (11759)Instructions burned: 5 (million)
% 0.69/0.82 % (11759)------------------------------
% 0.69/0.82 % (11759)------------------------------
% 0.69/0.82 % (11761)Refutation not found, incomplete strategy% (11761)------------------------------
% 0.69/0.82 % (11761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.82 % (11761)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.82
% 0.69/0.82 % (11761)Memory used [KB]: 1067
% 0.69/0.82 % (11761)Time elapsed: 0.005 s
% 0.69/0.82 % (11761)Instructions burned: 6 (million)
% 0.69/0.82 % (11761)------------------------------
% 0.69/0.82 % (11761)------------------------------
% 0.69/0.83 % (11762)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.69/0.83 % (11764)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.69/0.83 % (11762)Refutation not found, incomplete strategy% (11762)------------------------------
% 0.69/0.83 % (11762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.83 % (11762)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.83
% 0.69/0.83 % (11757)First to succeed.
% 0.69/0.83 % (11762)Memory used [KB]: 1053
% 0.69/0.83 % (11762)Time elapsed: 0.004 s
% 0.69/0.83 % (11762)Instructions burned: 5 (million)
% 0.69/0.83 % (11762)------------------------------
% 0.69/0.83 % (11762)------------------------------
% 0.69/0.83 % (11757)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11707"
% 0.69/0.83 % (11755)Refutation not found, incomplete strategy% (11755)------------------------------
% 0.69/0.83 % (11755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.83 % (11755)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.83
% 0.69/0.83 % (11757)Refutation found. Thanks to Tanya!
% 0.69/0.83 % SZS status Theorem for Vampire---4
% 0.69/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.83 % (11757)------------------------------
% 0.69/0.83 % (11757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.83 % (11757)Termination reason: Refutation
% 0.69/0.83
% 0.69/0.83 % (11757)Memory used [KB]: 1253
% 0.69/0.83 % (11757)Time elapsed: 0.019 s
% 0.69/0.83 % (11757)Instructions burned: 30 (million)
% 0.69/0.83 % (11707)Success in time 0.467 s
% 0.69/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------