TSTP Solution File: SET044+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET044+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n025.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 18:23:21 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 80 ( 31 ~; 25 |; 14 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 42 ( 30 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,plain,
$false,
inference(subsumption_resolution,[],[f20,f18]) ).
fof(f18,plain,
element(sK0(sK1),sK1),
inference(factoring,[],[f13]) ).
fof(f13,plain,
! [X0] :
( element(sK0(X0),sK1)
| element(sK0(X0),X0) ),
inference(resolution,[],[f11,f9]) ).
fof(f9,plain,
! [X4] :
( ~ element(X4,X4)
| element(X4,sK1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ! [X0,X2] :
( ( ~ element(X2,X0)
| ~ element(X2,sK0(X0)) )
& ( element(X2,sK0(X0))
| element(X2,X0) ) )
& ! [X4] :
( ( element(X4,X4)
| ~ element(X4,sK1) )
& ( element(X4,sK1)
| ~ element(X4,X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7,f6]) ).
fof(f6,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ element(X2,X0)
| ~ element(X2,X1) )
& ( element(X2,X1)
| element(X2,X0) ) )
=> ! [X2] :
( ( ~ element(X2,X0)
| ~ element(X2,sK0(X0)) )
& ( element(X2,sK0(X0))
| element(X2,X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
( ? [X3] :
! [X4] :
( ( element(X4,X4)
| ~ element(X4,X3) )
& ( element(X4,X3)
| ~ element(X4,X4) ) )
=> ! [X4] :
( ( element(X4,X4)
| ~ element(X4,sK1) )
& ( element(X4,sK1)
| ~ element(X4,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
( ! [X0] :
? [X1] :
! [X2] :
( ( ~ element(X2,X0)
| ~ element(X2,X1) )
& ( element(X2,X1)
| element(X2,X0) ) )
& ? [X3] :
! [X4] :
( ( element(X4,X4)
| ~ element(X4,X3) )
& ( element(X4,X3)
| ~ element(X4,X4) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
( ! [X2] :
? [X3] :
! [X4] :
( ( ~ element(X4,X2)
| ~ element(X4,X3) )
& ( element(X4,X3)
| element(X4,X2) ) )
& ? [X0] :
! [X1] :
( ( element(X1,X1)
| ~ element(X1,X0) )
& ( element(X1,X0)
| ~ element(X1,X1) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ! [X2] :
? [X3] :
! [X4] :
( ~ element(X4,X2)
<=> element(X4,X3) )
& ? [X0] :
! [X1] :
( element(X1,X1)
<=> element(X1,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
! [X1] :
( element(X1,X1)
<=> element(X1,X0) )
=> ~ ! [X2] :
? [X3] :
! [X4] :
( ~ element(X4,X2)
<=> element(X4,X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] :
! [X1] :
( element(X1,X1)
<=> element(X1,X0) )
=> ~ ! [X2] :
? [X3] :
! [X4] :
( ~ element(X4,X2)
<=> element(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel40) ).
fof(f11,plain,
! [X2,X0] :
( element(X2,sK0(X0))
| element(X2,X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f20,plain,
~ element(sK0(sK1),sK1),
inference(resolution,[],[f19,f12]) ).
fof(f12,plain,
! [X2,X0] :
( ~ element(X2,sK0(X0))
| ~ element(X2,X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f19,plain,
element(sK0(sK1),sK0(sK1)),
inference(resolution,[],[f18,f10]) ).
fof(f10,plain,
! [X4] :
( ~ element(X4,sK1)
| element(X4,X4) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET044+1 : TPTP v8.1.0. Released v2.0.0.
% 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
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 13:10:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (20718)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.49 % (20720)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.49 % (20739)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 (3000ds/498Mi)
% 0.19/0.50 % (20726)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.50 % (20727)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.50 % (20718)First to succeed.
% 0.19/0.50 % (20732)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.50 % (20727)Also succeeded, but the first one will report.
% 0.19/0.50 % (20718)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 % (20718)------------------------------
% 0.19/0.50 % (20718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (20718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (20718)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (20718)Memory used [KB]: 895
% 0.19/0.50 % (20718)Time elapsed: 0.102 s
% 0.19/0.50 % (20718)Instructions burned: 1 (million)
% 0.19/0.50 % (20718)------------------------------
% 0.19/0.50 % (20718)------------------------------
% 0.19/0.50 % (20712)Success in time 0.16 s
%------------------------------------------------------------------------------