TSTP Solution File: SET789+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : 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 18:22:16 EDT 2022
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 8 unt; 0 def)
% Number of atoms : 189 ( 24 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 226 ( 76 ~; 63 |; 55 &)
% ( 4 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 116 ( 98 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f60,plain,
$false,
inference(subsumption_resolution,[],[f59,f44]) ).
fof(f44,plain,
member(sK3,sK2),
inference(resolution,[],[f33,f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ greatest(X0,X1,X2)
| member(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ greatest(X0,X1,X2)
| ( ! [X3] :
( ~ member(X3,X2)
| apply(X1,X3,X0) )
& member(X0,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X2,X1,X0] :
( ~ greatest(X2,X1,X0)
| ( ! [X3] :
( ~ member(X3,X0)
| apply(X1,X3,X2) )
& member(X2,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0,X2] :
( greatest(X2,X1,X0)
=> ( member(X2,X0)
& ! [X3] :
( member(X3,X0)
=> apply(X1,X3,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X1,X0,X2] :
( ( member(X2,X0)
& ! [X3] :
( member(X3,X0)
=> apply(X1,X3,X2) ) )
<=> greatest(X2,X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X5] :
( ( member(X5,X1)
& ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X5) ) )
<=> greatest(X5,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greatest) ).
fof(f33,plain,
greatest(sK3,sK0,sK2),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( order(sK0,sK2)
& greatest(sK3,sK0,sK2)
& sK1 != sK3
& greatest(sK1,sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f24,f26,f25]) ).
fof(f25,plain,
( ? [X0,X1,X2] :
( order(X0,X2)
& ? [X3] :
( greatest(X3,X0,X2)
& X1 != X3 )
& greatest(X1,X0,X2) )
=> ( order(sK0,sK2)
& ? [X3] :
( greatest(X3,sK0,sK2)
& sK1 != X3 )
& greatest(sK1,sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ? [X3] :
( greatest(X3,sK0,sK2)
& sK1 != X3 )
=> ( greatest(sK3,sK0,sK2)
& sK1 != sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2] :
( order(X0,X2)
& ? [X3] :
( greatest(X3,X0,X2)
& X1 != X3 )
& greatest(X1,X0,X2) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
? [X2,X0,X1] :
( order(X2,X1)
& ? [X3] :
( greatest(X3,X2,X1)
& X0 != X3 )
& greatest(X0,X2,X1) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
? [X1,X2,X0] :
( ? [X3] :
( greatest(X3,X2,X1)
& X0 != X3 )
& order(X2,X1)
& greatest(X0,X2,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
~ ! [X1,X2,X0] :
( ( order(X2,X1)
& greatest(X0,X2,X1) )
=> ! [X3] :
( greatest(X3,X2,X1)
=> X0 = X3 ) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X5,X1,X0] :
( ( order(X0,X1)
& greatest(X5,X0,X1) )
=> ! [X2] :
( greatest(X2,X0,X1)
=> X2 = X5 ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X5,X1,X0] :
( ( order(X0,X1)
& greatest(X5,X0,X1) )
=> ! [X2] :
( greatest(X2,X0,X1)
=> X2 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV1) ).
fof(f59,plain,
~ member(sK3,sK2),
inference(subsumption_resolution,[],[f58,f42]) ).
fof(f42,plain,
member(sK1,sK2),
inference(resolution,[],[f31,f29]) ).
fof(f31,plain,
greatest(sK1,sK0,sK2),
inference(cnf_transformation,[],[f27]) ).
fof(f58,plain,
( ~ member(sK1,sK2)
| ~ member(sK3,sK2) ),
inference(subsumption_resolution,[],[f54,f32]) ).
fof(f32,plain,
sK1 != sK3,
inference(cnf_transformation,[],[f27]) ).
fof(f54,plain,
( sK1 = sK3
| ~ member(sK1,sK2)
| ~ member(sK3,sK2) ),
inference(resolution,[],[f51,f41]) ).
fof(f41,plain,
! [X0] :
( apply(sK0,X0,sK1)
| ~ member(X0,sK2) ),
inference(resolution,[],[f31,f30]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( ~ greatest(X0,X1,X2)
| ~ member(X3,X2)
| apply(X1,X3,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f51,plain,
! [X2] :
( ~ apply(sK0,sK3,X2)
| ~ member(X2,sK2)
| sK3 = X2 ),
inference(subsumption_resolution,[],[f49,f44]) ).
fof(f49,plain,
! [X2] :
( ~ member(X2,sK2)
| sK3 = X2
| ~ apply(sK0,sK3,X2)
| ~ member(sK3,sK2) ),
inference(duplicate_literal_removal,[],[f47]) ).
fof(f47,plain,
! [X2] :
( sK3 = X2
| ~ member(sK3,sK2)
| ~ member(X2,sK2)
| ~ member(X2,sK2)
| ~ apply(sK0,sK3,X2) ),
inference(resolution,[],[f38,f43]) ).
fof(f43,plain,
! [X0] :
( apply(sK0,X0,sK3)
| ~ member(X0,sK2) ),
inference(resolution,[],[f33,f30]) ).
fof(f38,plain,
! [X0,X1] :
( ~ apply(sK0,X0,X1)
| X0 = X1
| ~ apply(sK0,X1,X0)
| ~ member(X0,sK2)
| ~ member(X1,sK2) ),
inference(resolution,[],[f34,f37]) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( ~ order(X1,X0)
| ~ apply(X1,X3,X2)
| ~ apply(X1,X2,X3)
| X2 = X3
| ~ member(X2,X0)
| ~ member(X3,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ order(X1,X0)
| ( ! [X2,X3] :
( ~ apply(X1,X2,X3)
| ~ member(X2,X0)
| ~ apply(X1,X3,X2)
| X2 = X3
| ~ member(X3,X0) )
& ! [X4] :
( ~ member(X4,X0)
| apply(X1,X4,X4) )
& ! [X5,X6,X7] :
( apply(X1,X5,X7)
| ~ member(X5,X0)
| ~ member(X6,X0)
| ~ member(X7,X0)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X6,X7) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ order(X1,X0)
| ( ! [X4,X3] :
( ~ apply(X1,X4,X3)
| ~ member(X4,X0)
| ~ apply(X1,X3,X4)
| X3 = X4
| ~ member(X3,X0) )
& ! [X2] :
( ~ member(X2,X0)
| apply(X1,X2,X2) )
& ! [X6,X5,X7] :
( apply(X1,X6,X7)
| ~ member(X6,X0)
| ~ member(X5,X0)
| ~ member(X7,X0)
| ~ apply(X1,X6,X5)
| ~ apply(X1,X5,X7) ) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( ! [X5,X6,X7] :
( apply(X1,X6,X7)
| ~ apply(X1,X6,X5)
| ~ apply(X1,X5,X7)
| ~ member(X7,X0)
| ~ member(X6,X0)
| ~ member(X5,X0) )
& ! [X2] :
( ~ member(X2,X0)
| apply(X1,X2,X2) )
& ! [X3,X4] :
( X3 = X4
| ~ apply(X1,X4,X3)
| ~ apply(X1,X3,X4)
| ~ member(X4,X0)
| ~ member(X3,X0) ) )
| ~ order(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( order(X1,X0)
=> ( ! [X5,X6,X7] :
( ( member(X7,X0)
& member(X6,X0)
& member(X5,X0) )
=> ( ( apply(X1,X6,X5)
& apply(X1,X5,X7) )
=> apply(X1,X6,X7) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X3,X4] :
( ( member(X4,X0)
& member(X3,X0) )
=> ( ( apply(X1,X4,X3)
& apply(X1,X3,X4) )
=> X3 = X4 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( ! [X5,X6,X7] :
( ( member(X7,X0)
& member(X6,X0)
& member(X5,X0) )
=> ( ( apply(X1,X6,X5)
& apply(X1,X5,X7) )
=> apply(X1,X6,X7) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X1,X2,X2) )
& ! [X3,X4] :
( ( member(X4,X0)
& member(X3,X0) )
=> ( ( apply(X1,X4,X3)
& apply(X1,X3,X4) )
=> X3 = X4 ) ) )
<=> order(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( order(X0,X1)
<=> ( ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) )
& ! [X2,X3] :
( ( member(X2,X1)
& member(X3,X1) )
=> ( ( apply(X0,X3,X2)
& apply(X0,X2,X3) )
=> X2 = X3 ) )
& ! [X3,X2,X4] :
( ( member(X4,X1)
& member(X2,X1)
& member(X3,X1) )
=> ( ( apply(X0,X2,X3)
& apply(X0,X3,X4) )
=> apply(X0,X2,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f34,plain,
order(sK0,sK2),
inference(cnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.31 % Computer : n025.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Aug 30 14:29:15 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.15/0.46 % (19353)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.46 % (19344)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.46 % (19353)Instruction limit reached!
% 0.15/0.46 % (19353)------------------------------
% 0.15/0.46 % (19353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46 % (19344)First to succeed.
% 0.15/0.47 % (19345)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)
% 0.15/0.47 % (19353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (19353)Termination reason: Unknown
% 0.15/0.47 % (19353)Termination phase: Saturation
% 0.15/0.47
% 0.15/0.47 % (19353)Memory used [KB]: 5884
% 0.15/0.47 % (19353)Time elapsed: 0.087 s
% 0.15/0.47 % (19353)Instructions burned: 3 (million)
% 0.15/0.47 % (19353)------------------------------
% 0.15/0.47 % (19353)------------------------------
% 0.15/0.47 % (19344)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (19344)------------------------------
% 0.15/0.47 % (19344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (19344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (19344)Termination reason: Refutation
% 0.15/0.47
% 0.15/0.47 % (19344)Memory used [KB]: 1407
% 0.15/0.47 % (19344)Time elapsed: 0.081 s
% 0.15/0.47 % (19344)Instructions burned: 2 (million)
% 0.15/0.47 % (19344)------------------------------
% 0.15/0.47 % (19344)------------------------------
% 0.15/0.47 % (19338)Success in time 0.15 s
%------------------------------------------------------------------------------