TSTP Solution File: NUM557+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM557+1 : TPTP v8.1.2. Released v4.0.0.
% 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 08:38:01 EDT 2024
% Result : Theorem 0.23s 0.41s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 157 ( 35 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 196 ( 74 ~; 70 |; 41 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 64 ( 60 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f871,plain,
$false,
inference(resolution,[],[f869,f236]) ).
fof(f236,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).
fof(f869,plain,
~ aElementOf0(xk,szNzAzT0),
inference(resolution,[],[f865,f241]) ).
fof(f241,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
fof(f865,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(resolution,[],[f864,f247]) ).
fof(f247,plain,
aSubsetOf0(xP,xS),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
( xk = sbrdtbr0(xP)
& aSubsetOf0(xP,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2431) ).
fof(f864,plain,
( ~ aSubsetOf0(xP,xS)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xS) ),
inference(resolution,[],[f863,f352]) ).
fof(f352,plain,
! [X0,X1] :
( sP5(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( sP5(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f145,f172,f171]) ).
fof(f171,plain,
! [X1,X0,X2] :
( sP4(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f172,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> sP4(X1,X0,X2) )
| ~ sP5(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f145,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f863,plain,
( ~ sP5(xS,xk)
| ~ aSubsetOf0(xP,xS) ),
inference(resolution,[],[f635,f232]) ).
fof(f232,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(flattening,[],[f74]) ).
fof(f74,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(negated_conjecture,[],[f73]) ).
fof(f73,conjecture,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f635,plain,
! [X0] :
( aElementOf0(xP,slbdtsldtrb0(X0,xk))
| ~ aSubsetOf0(xP,X0)
| ~ sP5(X0,xk) ),
inference(resolution,[],[f623,f381]) ).
fof(f381,plain,
! [X0,X1] :
( sP4(X1,X0,slbdtsldtrb0(X0,X1))
| ~ sP5(X0,X1) ),
inference(equality_resolution,[],[f343]) ).
fof(f343,plain,
! [X2,X0,X1] :
( sP4(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ sP4(X1,X0,X2) )
& ( sP4(X1,X0,X2)
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ sP5(X0,X1) ),
inference(nnf_transformation,[],[f172]) ).
fof(f623,plain,
! [X0,X1] :
( ~ sP4(xk,X0,X1)
| ~ aSubsetOf0(xP,X0)
| aElementOf0(xP,X1) ),
inference(superposition,[],[f382,f248]) ).
fof(f248,plain,
xk = sbrdtbr0(xP),
inference(cnf_transformation,[],[f72]) ).
fof(f382,plain,
! [X2,X1,X4] :
( ~ sP4(sbrdtbr0(X4),X1,X2)
| ~ aSubsetOf0(X4,X1)
| aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f348]) ).
fof(f348,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ( ( sbrdtbr0(sK16(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK16(X0,X1,X2),X1)
| ~ aElementOf0(sK16(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK16(X0,X1,X2)) = X0
& aSubsetOf0(sK16(X0,X1,X2),X1) )
| aElementOf0(sK16(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP4(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f225,f226]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK16(X0,X1,X2)) != X0
| ~ aSubsetOf0(sK16(X0,X1,X2),X1)
| ~ aElementOf0(sK16(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK16(X0,X1,X2)) = X0
& aSubsetOf0(sK16(X0,X1,X2),X1) )
| aElementOf0(sK16(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X0
| ~ aSubsetOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X0
& aSubsetOf0(X3,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X0
| ~ aSubsetOf0(X4,X1) )
& ( ( sbrdtbr0(X4) = X0
& aSubsetOf0(X4,X1) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f224]) ).
fof(f224,plain,
! [X1,X0,X2] :
( ( sP4(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP4(X1,X0,X2) ) ),
inference(flattening,[],[f223]) ).
fof(f223,plain,
! [X1,X0,X2] :
( ( sP4(X1,X0,X2)
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP4(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM557+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 14:50:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (15924)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.38 % (15927)WARNING: value z3 for option sas not known
% 0.23/0.38 % (15926)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.38 % (15925)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.38 % (15928)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.38 % (15929)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)
% 0.23/0.38 % (15931)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)
% 0.23/0.38 % (15927)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)
% 0.23/0.38 % (15930)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)
% 0.23/0.39 TRYING [1]
% 0.23/0.39 TRYING [1]
% 0.23/0.40 TRYING [2]
% 0.23/0.40 TRYING [2]
% 0.23/0.40 TRYING [3]
% 0.23/0.40 TRYING [3]
% 0.23/0.41 % (15930)First to succeed.
% 0.23/0.41 % (15930)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15924"
% 0.23/0.41 % (15930)Refutation found. Thanks to Tanya!
% 0.23/0.41 % SZS status Theorem for theBenchmark
% 0.23/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.42 % (15930)------------------------------
% 0.23/0.42 % (15930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.42 % (15930)Termination reason: Refutation
% 0.23/0.42
% 0.23/0.42 % (15930)Memory used [KB]: 1456
% 0.23/0.42 % (15930)Time elapsed: 0.031 s
% 0.23/0.42 % (15930)Instructions burned: 44 (million)
% 0.23/0.42 % (15924)Success in time 0.049 s
%------------------------------------------------------------------------------