TSTP Solution File: NUN081+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN081+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 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 75 ( 18 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 81 ( 29 ~; 19 |; 33 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 77 ( 41 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f410,plain,
$false,
inference(unit_resulting_resolution,[],[f42,f401]) ).
fof(f401,plain,
! [X0] : ~ r2(sK0(sK0(sK2)),X0),
inference(forward_demodulation,[],[f264,f34]) ).
fof(f34,plain,
! [X0] : sK3(X0) = X0,
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( ? [X31] :
( r3(X29,X31,X30)
& r1(X31) )
& X29 = X30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f264,plain,
! [X0] : ~ r2(sK0(sK0(sK2)),sK3(X0)),
inference(unit_resulting_resolution,[],[f63,f61,f61,f33,f64]) ).
fof(f64,plain,
! [X2,X3,X0,X6,X4,X5] :
( ~ r3(X0,X2,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r2(X4,X3)
| ~ r1(X6) ),
inference(equality_resolution,[],[f39]) ).
fof(f39,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r3(X0,X2,X1)
| ~ r2(X4,X3)
| ~ r1(X6)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| X1 != X3 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ! [X3] :
( X1 != X3
| ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ~ r1(X6) ) )
| ~ r2(X4,X3) ) )
| ~ r3(X0,X2,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X1,X0,X2] :
( ? [X3] :
( X1 = X3
& ? [X4] :
( ? [X5] :
( r2(X5,X4)
& ? [X6] :
( r1(X6)
& r2(X6,X5) ) )
& r2(X4,X3) ) )
& r3(X0,X2,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38,X22,X21] :
( r3(X38,X21,X22)
& ? [X15] :
( X15 = X22
& ? [X16] :
( r2(X16,X15)
& ? [X24] :
( ? [X18] :
( r2(X18,X24)
& r1(X18) )
& r2(X24,X16) ) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38,X22,X21] :
( r3(X38,X21,X22)
& ? [X15] :
( X15 = X22
& ? [X16] :
( r2(X16,X15)
& ? [X24] :
( ? [X18] :
( r2(X18,X24)
& r1(X18) )
& r2(X24,X16) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xplusyeqthree) ).
fof(f33,plain,
! [X0] : r3(X0,sK4(X0),sK3(X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f61,plain,
! [X0] : r2(X0,sK0(X0)),
inference(equality_resolution,[],[f27]) ).
fof(f27,plain,
! [X2,X0] :
( sK0(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,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/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f63,plain,
r1(sK2),
inference(equality_resolution,[],[f30]) ).
fof(f30,plain,
! [X1] :
( r1(X1)
| sK2 != X1 ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( r1(X1)
& X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f42,plain,
! [X0,X1] : r2(X1,sK11(X0,X1)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X3,X0,X2)
& r4(X0,X1,X3) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r2(X1,X5)
& r4(X0,X5,X4) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X24] :
( r4(X19,X20,X24)
& r3(X24,X19,X21) )
& ? [X22] :
( ? [X23] :
( r2(X20,X23)
& r4(X19,X23,X22) )
& X21 = X22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN081+2 : TPTP v8.1.0. Released v7.3.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 09:40:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.55 % (15399)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)
% 0.20/0.55 % (15390)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.55 % (15398)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.56 % (15398)First to succeed.
% 0.20/0.57 % (15406)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (15392)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.57 % (15392)Instruction limit reached!
% 0.20/0.57 % (15392)------------------------------
% 0.20/0.57 % (15392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (15392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (15392)Termination reason: Unknown
% 0.20/0.57 % (15392)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (15392)Memory used [KB]: 6012
% 0.20/0.57 % (15392)Time elapsed: 0.158 s
% 0.20/0.57 % (15392)Instructions burned: 3 (million)
% 0.20/0.57 % (15392)------------------------------
% 0.20/0.57 % (15392)------------------------------
% 0.20/0.57 % (15398)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (15398)------------------------------
% 0.20/0.57 % (15398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (15398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (15398)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (15398)Memory used [KB]: 6268
% 0.20/0.57 % (15398)Time elapsed: 0.142 s
% 0.20/0.57 % (15398)Instructions burned: 13 (million)
% 0.20/0.57 % (15398)------------------------------
% 0.20/0.57 % (15398)------------------------------
% 0.20/0.57 % (15389)Success in time 0.222 s
%------------------------------------------------------------------------------