TSTP Solution File: SET589+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET589+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 : n009.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 18:25:00 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 5 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 30 ~; 19 |; 16 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 78 ( 62 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,plain,
$false,
inference(subsumption_resolution,[],[f174,f37]) ).
fof(f37,plain,
subset(sK1,sK3),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( subset(sK1,sK3)
& subset(sK2,sK4)
& ~ subset(difference(sK2,sK3),difference(sK4,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f24,f25]) ).
fof(f25,plain,
( ? [X0,X1,X2,X3] :
( subset(X0,X2)
& subset(X1,X3)
& ~ subset(difference(X1,X2),difference(X3,X0)) )
=> ( subset(sK1,sK3)
& subset(sK2,sK4)
& ~ subset(difference(sK2,sK3),difference(sK4,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2,X3] :
( subset(X0,X2)
& subset(X1,X3)
& ~ subset(difference(X1,X2),difference(X3,X0)) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
? [X1,X2,X0,X3] :
( subset(X1,X0)
& subset(X2,X3)
& ~ subset(difference(X2,X0),difference(X3,X1)) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
? [X1,X0,X3,X2] :
( ~ subset(difference(X2,X0),difference(X3,X1))
& subset(X1,X0)
& subset(X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
~ ! [X1,X0,X3,X2] :
( ( subset(X1,X0)
& subset(X2,X3) )
=> subset(difference(X2,X0),difference(X3,X1)) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X3,X2,X0,X1] :
( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(difference(X0,X3),difference(X1,X2)) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X3,X2,X0,X1] :
( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(difference(X0,X3),difference(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th48) ).
fof(f174,plain,
~ subset(sK1,sK3),
inference(subsumption_resolution,[],[f166,f36]) ).
fof(f36,plain,
subset(sK2,sK4),
inference(cnf_transformation,[],[f26]) ).
fof(f166,plain,
( ~ subset(sK2,sK4)
| ~ subset(sK1,sK3) ),
inference(resolution,[],[f82,f35]) ).
fof(f35,plain,
~ subset(difference(sK2,sK3),difference(sK4,sK1)),
inference(cnf_transformation,[],[f26]) ).
fof(f82,plain,
! [X10,X8,X9,X7] :
( subset(difference(X7,X8),difference(X9,X10))
| ~ subset(X7,X9)
| ~ subset(X10,X8) ),
inference(resolution,[],[f53,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( subset(difference(X0,X2),difference(X0,X1))
| ~ subset(X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( subset(difference(X0,X2),difference(X0,X1))
| ~ subset(X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X1,X0,X2] :
( subset(difference(X1,X2),difference(X1,X0))
| ~ subset(X0,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2] :
( subset(X0,X2)
=> subset(difference(X1,X2),difference(X1,X0)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2,X1] :
( subset(X0,X1)
=> subset(difference(X2,X1),difference(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_subset2) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ subset(X2,difference(X0,X3))
| subset(X2,difference(X1,X3))
| ~ subset(X0,X1) ),
inference(resolution,[],[f34,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ subset(X1,X2)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ subset(X2,X0)
| subset(X1,X0)
| ~ subset(X1,X2) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| subset(X0,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_subset) ).
fof(f34,plain,
! [X2,X0,X1] :
( subset(difference(X2,X0),difference(X1,X0))
| ~ subset(X2,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( subset(difference(X2,X0),difference(X1,X0))
| ~ subset(X2,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X2,X1,X0] :
( subset(difference(X0,X2),difference(X1,X2))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] :
( subset(X0,X1)
=> subset(difference(X0,X2),difference(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_subset1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET589+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % 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 : n009.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 14:00:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (25953)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 (2999ds/355Mi)
% 0.20/0.49 % (25945)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.49 % (25945)First to succeed.
% 0.20/0.50 % (25945)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 % (25945)------------------------------
% 0.20/0.50 % (25945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (25945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (25945)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (25945)Memory used [KB]: 5500
% 0.20/0.50 % (25945)Time elapsed: 0.091 s
% 0.20/0.50 % (25945)Instructions burned: 8 (million)
% 0.20/0.50 % (25945)------------------------------
% 0.20/0.50 % (25945)------------------------------
% 0.20/0.50 % (25923)Success in time 0.151 s
%------------------------------------------------------------------------------