TSTP Solution File: SWV411+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV411+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : Sun May 5 10:51:42 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 91 ( 21 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 100 ( 37 ~; 29 |; 23 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 102 ( 75 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(resolution,[],[f106,f70]) ).
fof(f70,plain,
! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4),
inference(equality_resolution,[],[f69]) ).
fof(f69,plain,
! [X2,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X4)),X2,X4)
| X1 != X2 ),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| X3 != X4
| X1 != X2 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2,X3,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
<=> ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f106,plain,
! [X0] : ~ pair_in_list(insert_slb(sK0,pair(sK1,sK3)),sK1,X0),
inference(superposition,[],[f44,f105]) ).
fof(f105,plain,
sK1 = sK2,
inference(subsumption_resolution,[],[f101,f104]) ).
fof(f104,plain,
~ contains_slb(sK0,sK1),
inference(resolution,[],[f100,f42]) ).
fof(f42,plain,
! [X5] :
( pair_in_list(sK0,X5,sK4(X5))
| ~ contains_slb(sK0,X5) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(sK2,sK3)),sK1,X4)
& contains_slb(insert_slb(sK0,pair(sK2,sK3)),sK1)
& ! [X5] :
( pair_in_list(sK0,X5,sK4(X5))
| ~ contains_slb(sK0,X5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f33,f36,f35,f34]) ).
fof(f34,plain,
( ? [X0] :
( ? [X1,X2,X3] :
( ! [X4] : ~ pair_in_list(insert_slb(X0,pair(X2,X3)),X1,X4)
& contains_slb(insert_slb(X0,pair(X2,X3)),X1) )
& ! [X5] :
( ? [X6] : pair_in_list(X0,X5,X6)
| ~ contains_slb(X0,X5) ) )
=> ( ? [X3,X2,X1] :
( ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(X2,X3)),X1,X4)
& contains_slb(insert_slb(sK0,pair(X2,X3)),X1) )
& ! [X5] :
( ? [X6] : pair_in_list(sK0,X5,X6)
| ~ contains_slb(sK0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
( ? [X3,X2,X1] :
( ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(X2,X3)),X1,X4)
& contains_slb(insert_slb(sK0,pair(X2,X3)),X1) )
=> ( ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(sK2,sK3)),sK1,X4)
& contains_slb(insert_slb(sK0,pair(sK2,sK3)),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X5] :
( ? [X6] : pair_in_list(sK0,X5,X6)
=> pair_in_list(sK0,X5,sK4(X5)) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] :
( ? [X1,X2,X3] :
( ! [X4] : ~ pair_in_list(insert_slb(X0,pair(X2,X3)),X1,X4)
& contains_slb(insert_slb(X0,pair(X2,X3)),X1) )
& ! [X5] :
( ? [X6] : pair_in_list(X0,X5,X6)
| ~ contains_slb(X0,X5) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
? [X0] :
( ? [X3,X4,X5] :
( ! [X6] : ~ pair_in_list(insert_slb(X0,pair(X4,X5)),X3,X6)
& contains_slb(insert_slb(X0,pair(X4,X5)),X3) )
& ! [X1] :
( ? [X2] : pair_in_list(X0,X1,X2)
| ~ contains_slb(X0,X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( contains_slb(X0,X1)
=> ? [X2] : pair_in_list(X0,X1,X2) )
=> ! [X3,X4,X5] :
( contains_slb(insert_slb(X0,pair(X4,X5)),X3)
=> ? [X6] : pair_in_list(insert_slb(X0,pair(X4,X5)),X3,X6) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X0] :
( ! [X1] :
( contains_slb(X0,X1)
=> ? [X2] : pair_in_list(X0,X1,X2) )
=> ! [X3,X4,X5] :
( contains_slb(insert_slb(X0,pair(X4,X5)),X3)
=> ? [X6] : pair_in_list(insert_slb(X0,pair(X4,X5)),X3,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l47_co) ).
fof(f100,plain,
! [X0] : ~ pair_in_list(sK0,sK1,X0),
inference(resolution,[],[f66,f44]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ~ pair_in_list(X0,X2,X4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f101,plain,
( contains_slb(sK0,sK1)
| sK1 = sK2 ),
inference(resolution,[],[f61,f43]) ).
fof(f43,plain,
contains_slb(insert_slb(sK0,pair(sK2,sK3)),sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| contains_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| contains_slb(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f44,plain,
! [X4] : ~ pair_in_list(insert_slb(sK0,pair(sK2,sK3)),sK1,X4),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV411+1 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 21:13:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.36 % (29790)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (29793)WARNING: value z3 for option sas not known
% 0.21/0.39 % (29793)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (29791)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (29792)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (29798)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.39 % (29794)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (29793)First to succeed.
% 0.21/0.39 % (29796)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.39 % (29793)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29790"
% 0.21/0.39 % (29793)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (29793)------------------------------
% 0.21/0.39 % (29793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (29793)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (29793)Memory used [KB]: 869
% 0.21/0.39 % (29793)Time elapsed: 0.007 s
% 0.21/0.39 % (29793)Instructions burned: 7 (million)
% 0.21/0.39 % (29790)Success in time 0.021 s
%------------------------------------------------------------------------------