TSTP Solution File: SEU121+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n017.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 18:32:00 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 84 ( 34 ~; 19 |; 23 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 36 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,plain,
$false,
inference(resolution,[],[f171,f41]) ).
fof(f41,plain,
subset(sK2,sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( subset(sK2,sK0)
& ~ subset(sK1,sK0)
& subset(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f25]) ).
fof(f25,plain,
( ? [X0,X1,X2] :
( subset(X2,X0)
& ~ subset(X1,X0)
& subset(X1,X2) )
=> ( subset(sK2,sK0)
& ~ subset(sK1,sK0)
& subset(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2] :
( subset(X2,X0)
& ~ subset(X1,X0)
& subset(X1,X2) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
? [X1,X2,X0] :
( subset(X0,X1)
& ~ subset(X2,X1)
& subset(X2,X0) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X2,X0,X1] :
( ~ subset(X2,X1)
& subset(X0,X1)
& subset(X2,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X2,X0,X1] :
( ( subset(X0,X1)
& subset(X2,X0) )
=> subset(X2,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X1,X2,X0] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X1,X2,X0] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f171,plain,
~ subset(sK2,sK0),
inference(resolution,[],[f169,f40]) ).
fof(f40,plain,
~ subset(sK1,sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f169,plain,
( subset(sK1,sK0)
| ~ subset(sK2,sK0) ),
inference(resolution,[],[f147,f47]) ).
fof(f47,plain,
! [X0,X1] :
( in(sK4(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( in(sK4(X0,X1),X1)
& ~ in(sK4(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f31,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& ~ in(X3,X0) )
=> ( in(sK4(X0,X1),X1)
& ~ in(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( in(X3,X1)
& ~ in(X3,X0) ) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f147,plain,
( ~ in(sK4(sK0,sK1),sK1)
| ~ subset(sK2,sK0) ),
inference(resolution,[],[f70,f39]) ).
fof(f39,plain,
subset(sK1,sK2),
inference(cnf_transformation,[],[f26]) ).
fof(f70,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ in(sK4(sK0,sK1),X1)
| ~ subset(X0,sK0) ),
inference(resolution,[],[f67,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( in(X2,X0)
| ~ subset(X1,X0)
| ~ in(X2,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f67,plain,
! [X11] :
( ~ in(sK4(sK0,sK1),X11)
| ~ subset(X11,sK0) ),
inference(resolution,[],[f48,f57]) ).
fof(f57,plain,
~ in(sK4(sK0,sK1),sK0),
inference(resolution,[],[f46,f40]) ).
fof(f46,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ in(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.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 14:04:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (17195)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.49 % (17187)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.49 % (17195)First to succeed.
% 0.20/0.50 % (17195)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (17195)------------------------------
% 0.20/0.50 % (17195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (17195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (17195)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (17195)Memory used [KB]: 1023
% 0.20/0.50 % (17195)Time elapsed: 0.104 s
% 0.20/0.50 % (17195)Instructions burned: 4 (million)
% 0.20/0.50 % (17195)------------------------------
% 0.20/0.50 % (17195)------------------------------
% 0.20/0.50 % (17182)Success in time 0.142 s
%------------------------------------------------------------------------------