TSTP Solution File: SET044+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n021.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 18:18:45 EDT 2022
% Result : Theorem 0.19s 0.49s
% 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 : 83 ( 34 ~; 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(f37,plain,
$false,
inference(resolution,[],[f22,f18]) ).
fof(f18,plain,
~ element(sK0(sK1),sK1),
inference(factoring,[],[f14]) ).
fof(f14,plain,
! [X2] :
( ~ element(sK0(X2),sK1)
| ~ element(sK0(X2),X2) ),
inference(resolution,[],[f12,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,sK1)
| ~ element(X4,X4) )
& ( element(X4,X4)
| ~ element(X4,sK1) ) ) ),
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,X3)
| ~ element(X4,X4) )
& ( element(X4,X4)
| ~ element(X4,X3) ) )
=> ! [X4] :
( ( element(X4,sK1)
| ~ element(X4,X4) )
& ( element(X4,X4)
| ~ element(X4,sK1) ) ) ),
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,X3)
| ~ element(X4,X4) )
& ( element(X4,X4)
| ~ element(X4,X3) ) ) ),
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,X0)
| ~ element(X1,X1) )
& ( element(X1,X1)
| ~ element(X1,X0) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ! [X2] :
? [X3] :
! [X4] :
( ~ element(X4,X2)
<=> element(X4,X3) )
& ? [X0] :
! [X1] :
( element(X1,X0)
<=> element(X1,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
! [X1] :
( element(X1,X0)
<=> element(X1,X1) )
=> ~ ! [X2] :
? [X3] :
! [X4] :
( ~ element(X4,X2)
<=> element(X4,X3) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X0] :
! [X1] :
( element(X1,X0)
<=> element(X1,X1) )
=> ~ ! [X2] :
? [X3] :
! [X4] :
( ~ element(X4,X2)
<=> element(X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel40) ).
fof(f12,plain,
! [X2,X0] :
( ~ element(X2,sK0(X0))
| ~ element(X2,X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f22,plain,
element(sK0(sK1),sK1),
inference(resolution,[],[f19,f11]) ).
fof(f11,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
% 0.11/0.11 % Problem : SET044+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.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 12:58:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % (28030)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.48 % (28013)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)
% 0.19/0.48 % (28021)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.48 % (28030)Refutation not found, incomplete strategy% (28030)------------------------------
% 0.19/0.48 % (28030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (28021)First to succeed.
% 0.19/0.48 % (28030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (28030)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48 % (28008)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)
% 0.19/0.49 % (28013)Refutation not found, incomplete strategy% (28013)------------------------------
% 0.19/0.49 % (28013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (28013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (28013)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (28013)Memory used [KB]: 5884
% 0.19/0.49 % (28013)Time elapsed: 0.116 s
% 0.19/0.49 % (28013)Instructions burned: 1 (million)
% 0.19/0.49 % (28013)------------------------------
% 0.19/0.49 % (28013)------------------------------
% 0.19/0.49
% 0.19/0.49 % (28030)Memory used [KB]: 5884
% 0.19/0.49 % (28030)Time elapsed: 0.106 s
% 0.19/0.49 % (28030)Instructions burned: 2 (million)
% 0.19/0.49 % (28030)------------------------------
% 0.19/0.49 % (28030)------------------------------
% 0.19/0.49 % (28021)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (28021)------------------------------
% 0.19/0.49 % (28021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (28021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (28021)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (28021)Memory used [KB]: 5884
% 0.19/0.49 % (28021)Time elapsed: 0.107 s
% 0.19/0.49 % (28021)Instructions burned: 1 (million)
% 0.19/0.49 % (28021)------------------------------
% 0.19/0.49 % (28021)------------------------------
% 0.19/0.49 % (28001)Success in time 0.146 s
%------------------------------------------------------------------------------