TSTP Solution File: NUN080+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN080+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n028.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 : Wed Aug 31 18:08:08 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 39 ( 6 unt; 0 def)
% Number of atoms : 168 ( 41 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 176 ( 47 ~; 29 |; 90 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 147 ( 80 !; 67 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f139,plain,
$false,
inference(resolution,[],[f125,f80]) ).
fof(f80,plain,
! [X0,X1] : r2(X0,sK13(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( r4(X1,X0,sK11(X0,X1))
& r3(sK11(X0,X1),X1,sK10(X0,X1))
& sK10(X0,X1) = sK12(X0,X1)
& r4(X1,sK13(X0,X1),sK12(X0,X1))
& r2(X0,sK13(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f22,f45,f44,f43,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) ) ) )
=> ( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,sK10(X0,X1)) )
& ? [X4] :
( sK10(X0,X1) = X4
& ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,sK10(X0,X1)) )
=> ( r4(X1,X0,sK11(X0,X1))
& r3(sK11(X0,X1),X1,sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X4] :
( sK10(X0,X1) = X4
& ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) ) )
=> ( sK10(X0,X1) = sK12(X0,X1)
& ? [X5] :
( r4(X1,X5,sK12(X0,X1))
& r2(X0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X5] :
( r4(X1,X5,sK12(X0,X1))
& r2(X0,X5) )
=> ( r4(X1,sK13(X0,X1),sK12(X0,X1))
& r2(X0,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X20,X19] :
? [X21] :
( ? [X24] :
( r3(X24,X19,X21)
& r4(X19,X20,X24) )
& ? [X22] :
( X21 = X22
& ? [X23] :
( r4(X19,X23,X22)
& r2(X20,X23) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).
fof(f125,plain,
! [X0] : ~ r2(sK9,X0),
inference(resolution,[],[f121,f103]) ).
fof(f103,plain,
! [X0] : r2(X0,sK8(X0)),
inference(equality_resolution,[],[f72]) ).
fof(f72,plain,
! [X2,X0] :
( sK8(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X2] :
( ( ~ r2(X0,X2)
& sK8(X0) != X2 )
| ( r2(X0,X2)
& sK8(X0) = X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f18,f37]) ).
fof(f37,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X1 != X2 )
| ( r2(X0,X2)
& X1 = X2 ) )
=> ! [X2] :
( ( ~ r2(X0,X2)
& sK8(X0) != X2 )
| ( r2(X0,X2)
& sK8(X0) = X2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X1 != X2 )
| ( r2(X0,X2)
& X1 = X2 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( r2(X2,X4)
& X3 = X4 )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f121,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ~ r2(sK9,X0) ),
inference(resolution,[],[f120,f106]) ).
fof(f106,plain,
r1(sK9),
inference(equality_resolution,[],[f79]) ).
fof(f79,plain,
! [X1] :
( r1(X1)
| sK9 != X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1] :
( ( r1(X1)
& sK9 = X1 )
| ( sK9 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f1,f40]) ).
fof(f40,plain,
( ? [X0] :
! [X1] :
( ( r1(X1)
& X0 = X1 )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( r1(X1)
& sK9 = X1 )
| ( sK9 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( r1(X1)
& X0 = X1 )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1) ),
inference(resolution,[],[f67,f105]) ).
fof(f105,plain,
! [X2,X3,X1,X4,X5] :
( ~ r3(X2,X3,X1)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X3) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X3)
| ~ r3(X2,X3,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
| ~ r2(X4,X3) )
| ~ r3(X2,X3,X0) )
| X0 != X1 ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
| ~ r2(X4,X3) )
| ~ r3(X2,X3,X1) )
| X0 != X1 ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ? [X2,X0,X1] :
( ? [X3] :
( ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r2(X5,X4)
& r1(X5) ) )
& r3(X2,X3,X1) )
& X0 = X1 ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X21,X22,X38] :
( ? [X15] :
( r3(X38,X15,X22)
& ? [X16] :
( r2(X16,X15)
& ? [X24] :
( r1(X24)
& r2(X24,X16) ) ) )
& X21 = X22 ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X21,X22,X38] :
( ? [X15] :
( r3(X38,X15,X22)
& ? [X16] :
( r2(X16,X15)
& ? [X24] :
( r1(X24)
& r2(X24,X16) ) ) )
& X21 = X22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xplustwoeqy) ).
fof(f67,plain,
! [X0,X1] : r3(X0,X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( sK5(X0,X1) = sK4(X0,X1)
& r3(X0,sK6(X0,X1),sK5(X0,X1))
& r2(X1,sK6(X0,X1))
& r3(X0,X1,sK7(X0,X1))
& r2(sK7(X0,X1),sK4(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f31,f35,f34,f33,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) ) )
=> ( ? [X3] :
( sK4(X0,X1) = X3
& ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,sK4(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X3] :
( sK4(X0,X1) = X3
& ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) ) )
=> ( sK5(X0,X1) = sK4(X0,X1)
& ? [X4] :
( r3(X0,X4,sK5(X0,X1))
& r2(X1,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X4] :
( r3(X0,X4,sK5(X0,X1))
& r2(X1,X4) )
=> ( r3(X0,sK6(X0,X1),sK5(X0,X1))
& r2(X1,sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X1,X5)
& r2(X5,sK4(X0,X1)) )
=> ( r3(X0,X1,sK7(X0,X1))
& r2(sK7(X0,X1),sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) ) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
? [X2] :
( ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
& ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) )
& ? [X16] :
( ? [X17] :
( r2(X14,X17)
& r3(X13,X17,X16) )
& X15 = X16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN080+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 09:56:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (15340)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 % (15332)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50 % (15340)First to succeed.
% 0.19/0.50 % (15322)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (15324)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (15326)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (15340)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (15340)------------------------------
% 0.19/0.50 % (15340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (15340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (15340)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (15340)Memory used [KB]: 1023
% 0.19/0.50 % (15340)Time elapsed: 0.060 s
% 0.19/0.50 % (15340)Instructions burned: 3 (million)
% 0.19/0.50 % (15340)------------------------------
% 0.19/0.50 % (15340)------------------------------
% 0.19/0.50 % (15317)Success in time 0.164 s
%------------------------------------------------------------------------------