TSTP Solution File: SET027+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n003.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 18:23:15 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 26 ~; 16 |; 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 : 50 ( 35 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,plain,
$false,
inference(resolution,[],[f43,f18]) ).
fof(f18,plain,
~ subset(sK0,sK1),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ~ subset(sK0,sK1)
& subset(sK2,sK1)
& subset(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f10]) ).
fof(f10,plain,
( ? [X0,X1,X2] :
( ~ subset(X0,X1)
& subset(X2,X1)
& subset(X0,X2) )
=> ( ~ subset(sK0,sK1)
& subset(sK2,sK1)
& subset(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0,X1,X2] :
( ~ subset(X0,X1)
& subset(X2,X1)
& subset(X0,X2) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
? [X2,X1,X0] :
( ~ subset(X2,X1)
& subset(X0,X1)
& subset(X2,X0) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X1,X0,X2] :
( ~ subset(X2,X1)
& subset(X0,X1)
& subset(X2,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ! [X1,X0,X2] :
( ( subset(X0,X1)
& subset(X2,X0) )
=> subset(X2,X1) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ! [X1,X2,X0] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
! [X1,X2,X0] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subset) ).
fof(f43,plain,
subset(sK0,sK1),
inference(resolution,[],[f33,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f13,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f33,plain,
member(sK3(sK0,sK1),sK1),
inference(resolution,[],[f28,f17]) ).
fof(f17,plain,
subset(sK2,sK1),
inference(cnf_transformation,[],[f11]) ).
fof(f28,plain,
! [X0] :
( ~ subset(sK2,X0)
| member(sK3(sK0,sK1),X0) ),
inference(resolution,[],[f25,f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
member(sK3(sK0,sK1),sK2),
inference(resolution,[],[f24,f16]) ).
fof(f16,plain,
subset(sK0,sK2),
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
! [X0] :
( ~ subset(sK0,X0)
| member(sK3(sK0,sK1),X0) ),
inference(resolution,[],[f22,f23]) ).
fof(f23,plain,
member(sK3(sK0,sK1),sK0),
inference(resolution,[],[f21,f18]) ).
fof(f21,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 12:57:37 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (5576)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.21/0.50 % (5568)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.50 % (5584)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.21/0.51 % (5584)First to succeed.
% 0.21/0.51 % (5584)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (5584)------------------------------
% 0.21/0.51 % (5584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (5584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (5584)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (5584)Memory used [KB]: 5373
% 0.21/0.51 % (5584)Time elapsed: 0.089 s
% 0.21/0.51 % (5584)Instructions burned: 2 (million)
% 0.21/0.51 % (5584)------------------------------
% 0.21/0.51 % (5584)------------------------------
% 0.21/0.51 % (5554)Success in time 0.153 s
%------------------------------------------------------------------------------