TSTP Solution File: NUN080+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n010.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 18:07:47 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 5 unt; 0 def)
% Number of atoms : 123 ( 33 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 140 ( 47 ~; 29 |; 58 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 105 ( 62 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,plain,
$false,
inference(resolution,[],[f88,f77]) ).
fof(f77,plain,
r1(sK4),
inference(equality_resolution,[],[f57]) ).
fof(f57,plain,
! [X1] :
( r1(X1)
| sK4 != X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1] :
( ( r1(X1)
& sK4 = X1 )
| ( ~ r1(X1)
& sK4 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f1,f32]) ).
fof(f32,plain,
( ? [X0] :
! [X1] :
( ( r1(X1)
& X0 = X1 )
| ( ~ r1(X1)
& X0 != X1 ) )
=> ! [X1] :
( ( r1(X1)
& sK4 = X1 )
| ( ~ r1(X1)
& sK4 != X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( r1(X1)
& X0 = X1 )
| ( ~ r1(X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f88,plain,
! [X0] : ~ r1(X0),
inference(resolution,[],[f86,f79]) ).
fof(f79,plain,
! [X0] : r2(X0,sK9(X0)),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X2,X0] :
( sK9(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X2] :
( ( ~ r2(X0,X2)
& sK9(X0) != X2 )
| ( r2(X0,X2)
& sK9(X0) = X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f17,f39]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X1 != X2 )
| ( r2(X0,X2)
& X1 = X2 ) )
=> ! [X2] :
( ( ~ r2(X0,X2)
& sK9(X0) != X2 )
| ( r2(X0,X2)
& sK9(X0) = X2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X1 != X2 )
| ( r2(X0,X2)
& X1 = X2 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 != X4
& ~ r2(X2,X4) )
| ( X3 = X4
& r2(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f86,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X0) ),
inference(resolution,[],[f85,f79]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ r1(X0) ),
inference(resolution,[],[f60,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X4,X5] :
( ~ r3(X0,X3,X2)
| ~ r1(X5)
| ~ r2(X4,X3)
| ~ r2(X5,X4) ),
inference(equality_resolution,[],[f44]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r3(X0,X3,X2)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X3)
| X1 != X2 ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ! [X3] :
( ~ r3(X0,X3,X2)
| ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
| ~ r2(X4,X3) ) )
| X1 != X2 ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X2,X0] :
( ! [X3] :
( ~ r3(X1,X3,X0)
| ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
| ~ r2(X4,X3) ) )
| X0 != X2 ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X1,X0,X2] :
( ? [X3] :
( r3(X1,X3,X0)
& ? [X4] :
( ? [X5] :
( r2(X5,X4)
& r1(X5) )
& r2(X4,X3) ) )
& X0 = X2 ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X22,X38,X21] :
( X21 = X22
& ? [X15] :
( ? [X16] :
( r2(X16,X15)
& ? [X24] :
( r1(X24)
& r2(X24,X16) ) )
& r3(X38,X15,X22) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X22,X38,X21] :
( X21 = X22
& ? [X15] :
( ? [X16] :
( r2(X16,X15)
& ? [X24] :
( r1(X24)
& r2(X24,X16) ) )
& r3(X38,X15,X22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xplustwoeqy) ).
fof(f60,plain,
! [X0,X1] : r3(X1,X0,sK8(X0,X1)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( sK5(X0,X1) = sK6(X0,X1)
& r2(X0,sK7(X0,X1))
& r3(X1,sK7(X0,X1),sK6(X0,X1))
& r3(X1,X0,sK8(X0,X1))
& r2(sK8(X0,X1),sK5(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f19,f37,f36,f35,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) ) )
& ? [X5] :
( r3(X1,X0,X5)
& r2(X5,X2) ) )
=> ( ? [X3] :
( sK5(X0,X1) = X3
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) ) )
& ? [X5] :
( r3(X1,X0,X5)
& r2(X5,sK5(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X3] :
( sK5(X0,X1) = X3
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) ) )
=> ( sK5(X0,X1) = sK6(X0,X1)
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,sK6(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,sK6(X0,X1)) )
=> ( r2(X0,sK7(X0,X1))
& r3(X1,sK7(X0,X1),sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X5] :
( r3(X1,X0,X5)
& r2(X5,sK5(X0,X1)) )
=> ( r3(X1,X0,sK8(X0,X1))
& r2(sK8(X0,X1),sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) ) )
& ? [X5] :
( r3(X1,X0,X5)
& r2(X5,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X13] :
? [X15] :
( ? [X16] :
( ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) )
& X15 = X16 )
& ? [X18] :
( r2(X18,X15)
& r3(X13,X14,X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % 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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.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 : 300
% 0.13/0.34 % DateTime : Tue Aug 30 09:40:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (15429)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (15428)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (15437)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (15428)First to succeed.
% 0.19/0.53 % (15447)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.53 % (15436)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (15436)Instruction limit reached!
% 0.19/0.53 % (15436)------------------------------
% 0.19/0.53 % (15436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (15436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (15436)Termination reason: Unknown
% 0.19/0.53 % (15436)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (15436)Memory used [KB]: 6012
% 0.19/0.53 % (15436)Time elapsed: 0.118 s
% 0.19/0.53 % (15436)Instructions burned: 4 (million)
% 0.19/0.53 % (15436)------------------------------
% 0.19/0.53 % (15436)------------------------------
% 0.19/0.53 % (15423)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (15445)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.54 % (15426)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.54 % (15431)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.54 % (15428)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (15428)------------------------------
% 0.19/0.54 % (15428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (15428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (15428)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (15428)Memory used [KB]: 6012
% 0.19/0.54 % (15428)Time elapsed: 0.115 s
% 0.19/0.54 % (15428)Instructions burned: 2 (million)
% 0.19/0.54 % (15428)------------------------------
% 0.19/0.54 % (15428)------------------------------
% 0.19/0.54 % (15421)Success in time 0.189 s
%------------------------------------------------------------------------------