TSTP Solution File: KRS086+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS086+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n027.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 17:29:39 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 128 ( 8 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 144 ( 52 ~; 39 |; 42 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 74 ( 53 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,plain,
$false,
inference(subsumption_resolution,[],[f158,f139]) ).
fof(f139,plain,
cp1(sK0(i2003_11_14_17_19_42328)),
inference(unit_resulting_resolution,[],[f114,f100]) ).
fof(f100,plain,
! [X0] :
( cp1(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( ( rf(sK1(X0),sK2(X0))
& ~ cp1(sK2(X0))
& rinvF(sK0(X0),sK1(X0))
& cp1(sK0(X0))
& rf(X0,sK0(X0)) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ rf(X5,X6)
| cp1(X6) )
| ~ rinvF(X4,X5) )
| ~ cp1(X4)
| ~ rf(X0,X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f75,f78,f77,f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( rf(X2,X3)
& ~ cp1(X3) )
& rinvF(X1,X2) )
& cp1(X1)
& rf(X0,X1) )
=> ( ? [X2] :
( ? [X3] :
( rf(X2,X3)
& ~ cp1(X3) )
& rinvF(sK0(X0),X2) )
& cp1(sK0(X0))
& rf(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( rf(X2,X3)
& ~ cp1(X3) )
& rinvF(sK0(X0),X2) )
=> ( ? [X3] :
( rf(sK1(X0),X3)
& ~ cp1(X3) )
& rinvF(sK0(X0),sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ? [X3] :
( rf(sK1(X0),X3)
& ~ cp1(X3) )
=> ( rf(sK1(X0),sK2(X0))
& ~ cp1(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ( ? [X1] :
( ? [X2] :
( ? [X3] :
( rf(X2,X3)
& ~ cp1(X3) )
& rinvF(X1,X2) )
& cp1(X1)
& rf(X0,X1) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ rf(X5,X6)
| cp1(X6) )
| ~ rinvF(X4,X5) )
| ~ cp1(X4)
| ~ rf(X0,X4) ) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ? [X1] :
( ? [X2] :
( ? [X3] :
( rf(X2,X3)
& ~ cp1(X3) )
& rinvF(X1,X2) )
& cp1(X1)
& rf(X0,X1) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ rf(X2,X3)
| cp1(X3) )
| ~ rinvF(X1,X2) )
| ~ cp1(X1)
| ~ rf(X0,X1) ) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( rf(X2,X3)
& ~ cp1(X3) )
& rinvF(X1,X2) )
& cp1(X1)
& rf(X0,X1) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ? [X4] :
( ? [X5] :
( rinvF(X4,X5)
& ? [X6] :
( rf(X5,X6)
& ~ cp1(X6) ) )
& cp1(X4)
& rf(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f114,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_42328),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f158,plain,
~ cp1(sK0(i2003_11_14_17_19_42328)),
inference(backward_demodulation,[],[f140,f153]) ).
fof(f153,plain,
sK0(i2003_11_14_17_19_42328) = sK2(i2003_11_14_17_19_42328),
inference(unit_resulting_resolution,[],[f145,f146,f138]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| X1 = X2
| ~ rf(X0,X1) ),
inference(subsumption_resolution,[],[f123,f109]) ).
fof(f109,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ cowlThing(X0)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1,X2] :
( ~ rf(X0,X1)
| X1 = X2
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X2,X1] :
( ~ rf(X0,X2)
| X1 = X2
| ~ rf(X0,X1) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X2,X1] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( cowlThing(X0)
=> ! [X2,X1] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3] :
( cowlThing(X3)
=> ! [X8,X7] :
( ( rf(X3,X8)
& rf(X3,X7) )
=> X7 = X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f146,plain,
rf(sK1(i2003_11_14_17_19_42328),sK0(i2003_11_14_17_19_42328)),
inference(unit_resulting_resolution,[],[f144,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( rf(X1,X0)
| ~ rinvF(X0,X1) )
& ( rinvF(X0,X1)
| ~ rf(X1,X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( rf(X1,X0)
<=> rinvF(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3,X4] :
( rinvF(X3,X4)
<=> rf(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f144,plain,
rinvF(sK0(i2003_11_14_17_19_42328),sK1(i2003_11_14_17_19_42328)),
inference(unit_resulting_resolution,[],[f114,f101]) ).
fof(f101,plain,
! [X0] :
( rinvF(sK0(X0),sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f145,plain,
rf(sK1(i2003_11_14_17_19_42328),sK2(i2003_11_14_17_19_42328)),
inference(unit_resulting_resolution,[],[f114,f103]) ).
fof(f103,plain,
! [X0] :
( rf(sK1(X0),sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f140,plain,
~ cp1(sK2(i2003_11_14_17_19_42328)),
inference(unit_resulting_resolution,[],[f114,f102]) ).
fof(f102,plain,
! [X0] :
( ~ cp1(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS086+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.13 % 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 : n027.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 00:47:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (16635)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50 % (16644)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (16644)Refutation not found, incomplete strategy% (16644)------------------------------
% 0.19/0.50 % (16644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16644)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (16644)Memory used [KB]: 5884
% 0.19/0.50 % (16644)Time elapsed: 0.002 s
% 0.19/0.50 % (16644)------------------------------
% 0.19/0.50 % (16644)------------------------------
% 0.19/0.50 % (16635)Refutation not found, incomplete strategy% (16635)------------------------------
% 0.19/0.50 % (16635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16635)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (16635)Memory used [KB]: 1535
% 0.19/0.50 % (16635)Time elapsed: 0.003 s
% 0.19/0.50 % (16635)Instructions burned: 2 (million)
% 0.19/0.50 % (16635)------------------------------
% 0.19/0.50 % (16635)------------------------------
% 0.19/0.50 % (16643)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (16643)Refutation not found, incomplete strategy% (16643)------------------------------
% 0.19/0.50 % (16643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16643)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (16643)Memory used [KB]: 1535
% 0.19/0.50 % (16643)Time elapsed: 0.002 s
% 0.19/0.50 % (16643)Instructions burned: 2 (million)
% 0.19/0.50 % (16643)------------------------------
% 0.19/0.50 % (16643)------------------------------
% 0.19/0.50 % (16657)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (16657)Refutation not found, incomplete strategy% (16657)------------------------------
% 0.19/0.50 % (16657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16657)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (16657)Memory used [KB]: 6012
% 0.19/0.50 % (16657)Time elapsed: 0.004 s
% 0.19/0.50 % (16657)Instructions burned: 3 (million)
% 0.19/0.50 % (16657)------------------------------
% 0.19/0.50 % (16657)------------------------------
% 0.19/0.51 % (16634)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)
% 0.19/0.51 % (16634)Refutation not found, incomplete strategy% (16634)------------------------------
% 0.19/0.51 % (16634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16634)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (16634)Memory used [KB]: 5884
% 0.19/0.51 % (16634)Time elapsed: 0.002 s
% 0.19/0.51 % (16634)Instructions burned: 1 (million)
% 0.19/0.51 % (16634)------------------------------
% 0.19/0.51 % (16634)------------------------------
% 0.19/0.51 % (16642)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (16642)First to succeed.
% 0.19/0.51 % (16642)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (16642)------------------------------
% 0.19/0.51 % (16642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16642)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (16642)Memory used [KB]: 6012
% 0.19/0.51 % (16642)Time elapsed: 0.118 s
% 0.19/0.51 % (16642)Instructions burned: 3 (million)
% 0.19/0.51 % (16642)------------------------------
% 0.19/0.51 % (16642)------------------------------
% 0.19/0.51 % (16625)Success in time 0.158 s
%------------------------------------------------------------------------------