TSTP Solution File: SET577+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET577+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 09:14:13 EDT 2024
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 8 unt; 0 def)
% Number of atoms : 151 ( 14 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 175 ( 63 ~; 67 |; 32 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 77 ( 62 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2084,plain,
$false,
inference(subsumption_resolution,[],[f2073,f2059]) ).
fof(f2059,plain,
~ member(sK4(union(sK2,sK3),sK1),sK2),
inference(unit_resulting_resolution,[],[f2045,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f2045,plain,
~ member(sK4(union(sK2,sK3),sK1),union(sK2,sK3)),
inference(unit_resulting_resolution,[],[f54,f2044,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ member(sK4(X0,X1),X0)
| sP0(X0,X1)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ member(sK4(X0,X1),X0)
| ~ member(sK4(X0,X1),X1) )
& ( member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( member(X3,X1)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f20,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) ) )
=> ( ( ~ member(sK4(X0,X1),X0)
| ~ member(sK4(X0,X1),X1) )
& ( member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) ) ) )
& ( ! [X3] :
( ( member(X3,X1)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2044,plain,
member(sK4(union(sK2,sK3),sK1),sK1),
inference(subsumption_resolution,[],[f2038,f31]) ).
fof(f31,plain,
! [X3] :
( ~ member(X3,sK2)
| member(X3,sK1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( sK1 != union(sK2,sK3)
& ! [X3] :
( ( member(X3,sK1)
| ( ~ member(X3,sK3)
& ~ member(X3,sK2) ) )
& ( member(X3,sK3)
| member(X3,sK2)
| ~ member(X3,sK1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f14,f15]) ).
fof(f15,plain,
( ? [X0,X1,X2] :
( union(X1,X2) != X0
& ! [X3] :
( ( member(X3,X0)
| ( ~ member(X3,X2)
& ~ member(X3,X1) ) )
& ( member(X3,X2)
| member(X3,X1)
| ~ member(X3,X0) ) ) )
=> ( sK1 != union(sK2,sK3)
& ! [X3] :
( ( member(X3,sK1)
| ( ~ member(X3,sK3)
& ~ member(X3,sK2) ) )
& ( member(X3,sK3)
| member(X3,sK2)
| ~ member(X3,sK1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1,X2] :
( union(X1,X2) != X0
& ! [X3] :
( ( member(X3,X0)
| ( ~ member(X3,X2)
& ~ member(X3,X1) ) )
& ( member(X3,X2)
| member(X3,X1)
| ~ member(X3,X0) ) ) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
? [X0,X1,X2] :
( union(X1,X2) != X0
& ! [X3] :
( ( member(X3,X0)
| ( ~ member(X3,X2)
& ~ member(X3,X1) ) )
& ( member(X3,X2)
| member(X3,X1)
| ~ member(X3,X0) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
? [X0,X1,X2] :
( union(X1,X2) != X0
& ! [X3] :
( member(X3,X0)
<=> ( member(X3,X2)
| member(X3,X1) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X2] :
( ! [X3] :
( member(X3,X0)
<=> ( member(X3,X2)
| member(X3,X1) ) )
=> union(X1,X2) = X0 ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1,X2] :
( ! [X3] :
( member(X3,X0)
<=> ( member(X3,X2)
| member(X3,X1) ) )
=> union(X1,X2) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th18) ).
fof(f2038,plain,
( member(sK4(union(sK2,sK3),sK1),sK2)
| member(sK4(union(sK2,sK3),sK1),sK1) ),
inference(resolution,[],[f1886,f32]) ).
fof(f32,plain,
! [X3] :
( ~ member(X3,sK3)
| member(X3,sK1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f1886,plain,
( member(sK4(union(sK2,sK3),sK1),sK3)
| member(sK4(union(sK2,sK3),sK1),sK2) ),
inference(subsumption_resolution,[],[f1880,f30]) ).
fof(f30,plain,
! [X3] :
( ~ member(X3,sK1)
| member(X3,sK2)
| member(X3,sK3) ),
inference(cnf_transformation,[],[f16]) ).
fof(f1880,plain,
( member(sK4(union(sK2,sK3),sK1),sK1)
| member(sK4(union(sK2,sK3),sK1),sK2)
| member(sK4(union(sK2,sK3),sK1),sK3) ),
inference(resolution,[],[f64,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f64,plain,
( member(sK4(union(sK2,sK3),sK1),union(sK2,sK3))
| member(sK4(union(sK2,sK3),sK1),sK1) ),
inference(resolution,[],[f41,f54]) ).
fof(f41,plain,
! [X0,X1] :
( sP0(X0,X1)
| member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f54,plain,
~ sP0(union(sK2,sK3),sK1),
inference(unit_resulting_resolution,[],[f33,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ sP0(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( X0 = X1
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| X0 != X1 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( X0 = X1
<=> sP0(X1,X0) ),
inference(definition_folding,[],[f6,f11]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f33,plain,
sK1 != union(sK2,sK3),
inference(cnf_transformation,[],[f16]) ).
fof(f2073,plain,
member(sK4(union(sK2,sK3),sK1),sK2),
inference(unit_resulting_resolution,[],[f2044,f2058,f30]) ).
fof(f2058,plain,
~ member(sK4(union(sK2,sK3),sK1),sK3),
inference(unit_resulting_resolution,[],[f2045,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET577+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 16:28:38 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (7204)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (7207)WARNING: value z3 for option sas not known
% 0.13/0.37 % (7207)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)
% 0.13/0.37 % (7208)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (7206)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (7211)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)
% 0.13/0.37 % (7209)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (7210)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)
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (7205)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [5]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 TRYING [6]
% 0.13/0.40 TRYING [4]
% 0.21/0.42 TRYING [7]
% 0.21/0.44 TRYING [5]
% 0.21/0.46 % (7211)First to succeed.
% 0.21/0.46 % (7211)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7204"
% 0.21/0.46 % (7211)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for theBenchmark
% 0.21/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46 % (7211)------------------------------
% 0.21/0.46 % (7211)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.46 % (7211)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (7211)Memory used [KB]: 1465
% 0.21/0.46 % (7211)Time elapsed: 0.088 s
% 0.21/0.46 % (7211)Instructions burned: 177 (million)
% 0.21/0.46 % (7204)Success in time 0.103 s
%------------------------------------------------------------------------------