TSTP Solution File: RNG109+4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG109+4 : 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 : n006.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 08:57:29 EDT 2024
% Result : Theorem 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 15 unt; 0 def)
% Number of atoms : 179 ( 77 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 179 ( 46 ~; 33 |; 77 &)
% ( 12 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 69 ( 36 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f949,plain,
$false,
inference(trivial_inequality_removal,[],[f948]) ).
fof(f948,plain,
xa != xa,
inference(superposition,[],[f937,f516]) ).
fof(f516,plain,
sz00 = xa,
inference(forward_demodulation,[],[f515,f440]) ).
fof(f440,plain,
xa = sdtpldt0(xa,sz00),
inference(resolution,[],[f288,f265]) ).
fof(f265,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
fof(f288,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f515,plain,
sz00 = sdtpldt0(xa,sz00),
inference(resolution,[],[f510,f272]) ).
fof(f272,plain,
aElementOf0(xa,slsdtgt0(xa)),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( aElementOf0(xb,slsdtgt0(xb))
& xb = sdtasdt0(xb,sK22)
& aElement0(sK22)
& aElementOf0(sz00,slsdtgt0(xb))
& sz00 = sdtasdt0(xb,sK23)
& aElement0(sK23)
& aElementOf0(xa,slsdtgt0(xa))
& xa = sdtasdt0(xa,sK24)
& aElement0(sK24)
& aElementOf0(sz00,slsdtgt0(xa))
& sz00 = sdtasdt0(xa,sK25)
& aElement0(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25])],[f49,f160,f159,f158,f157]) ).
fof(f157,plain,
( ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
=> ( xb = sdtasdt0(xb,sK22)
& aElement0(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ? [X1] :
( sz00 = sdtasdt0(xb,X1)
& aElement0(X1) )
=> ( sz00 = sdtasdt0(xb,sK23)
& aElement0(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
( ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) )
=> ( xa = sdtasdt0(xa,sK24)
& aElement0(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( ? [X3] :
( sz00 = sdtasdt0(xa,X3)
& aElement0(X3) )
=> ( sz00 = sdtasdt0(xa,sK25)
& aElement0(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( aElementOf0(xb,slsdtgt0(xb))
& ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X1] :
( sz00 = sdtasdt0(xb,X1)
& aElement0(X1) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X3] :
( sz00 = sdtasdt0(xa,X3)
& aElement0(X3) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
( aElementOf0(xb,slsdtgt0(xb))
& ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X0] :
( sz00 = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X0] :
( xa = sdtasdt0(xa,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X0] :
( sz00 = sdtasdt0(xa,X0)
& aElement0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
fof(f510,plain,
! [X0] :
( ~ aElementOf0(X0,slsdtgt0(xa))
| sz00 = sdtpldt0(X0,sz00) ),
inference(resolution,[],[f381,f275]) ).
fof(f275,plain,
aElementOf0(sz00,slsdtgt0(xb)),
inference(cnf_transformation,[],[f161]) ).
fof(f381,plain,
! [X2,X1] :
( ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa))
| sz00 = sdtpldt0(X1,X2) ),
inference(equality_resolution,[],[f228]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sz00 = X0
| sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( sz00 = X0
| ( ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) )
& sP1
& sP0 ) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X0] :
( sz00 = X0
| ( ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X0
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) )
& sP1
& sP0 ) ),
inference(definition_folding,[],[f60,f114,f113]) ).
fof(f113,plain,
( ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( sdtasdt0(xa,X2) = X1
& aElement0(X2) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f114,plain,
( ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f60,plain,
! [X0] :
( sz00 = X0
| ( ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X0
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) )
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) ) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( sdtasdt0(xa,X2) = X1
& aElement0(X2) ) ) ) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( sz00 = X0
| ( ~ aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X0
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) )
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) ) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( sdtasdt0(xa,X2) = X1
& aElement0(X2) ) ) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ? [X0] :
( sz00 != X0
& ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( sdtasdt0(xa,X2) = X1
& aElement0(X2) ) )
=> ( ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) ) )
=> ( aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ? [X5,X6] :
( sdtpldt0(X5,X6) = X0
& aElementOf0(X6,slsdtgt0(xb))
& aElementOf0(X5,slsdtgt0(xa)) ) ) ) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ? [X0] :
( sz00 != X0
& ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( sdtasdt0(xa,X2) = X1
& aElement0(X2) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xb))
<=> ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
=> ( aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) ) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
? [X0] :
( sz00 != X0
& ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( sdtasdt0(xa,X2) = X1
& aElement0(X2) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xb))
<=> ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
=> ( aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f937,plain,
sz00 != xa,
inference(trivial_inequality_removal,[],[f890]) ).
fof(f890,plain,
( xa != xa
| sz00 != xa ),
inference(backward_demodulation,[],[f394,f871]) ).
fof(f871,plain,
xa = xb,
inference(backward_demodulation,[],[f596,f868]) ).
fof(f868,plain,
xa = sdtpldt0(xa,xb),
inference(resolution,[],[f614,f272]) ).
fof(f614,plain,
! [X0] :
( ~ aElementOf0(X0,slsdtgt0(xa))
| xa = sdtpldt0(X0,xb) ),
inference(backward_demodulation,[],[f511,f516]) ).
fof(f511,plain,
! [X0] :
( ~ aElementOf0(X0,slsdtgt0(xa))
| sz00 = sdtpldt0(X0,xb) ),
inference(resolution,[],[f381,f278]) ).
fof(f278,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f161]) ).
fof(f596,plain,
xb = sdtpldt0(xa,xb),
inference(backward_demodulation,[],[f459,f516]) ).
fof(f459,plain,
xb = sdtpldt0(sz00,xb),
inference(resolution,[],[f289,f266]) ).
fof(f266,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f289,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f394,plain,
( xa != xb
| sz00 != xa ),
inference(inner_rewriting,[],[f393]) ).
fof(f393,plain,
( sz00 != xb
| xa != xb ),
inference(inner_rewriting,[],[f279]) ).
fof(f279,plain,
( sz00 != xb
| sz00 != xa ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( sz00 != xb
| sz00 != xa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2110) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG109+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:19:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (13306)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (13309)WARNING: value z3 for option sas not known
% 0.14/0.38 % (13310)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (13309)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)
% 0.14/0.38 % (13308)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (13311)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)
% 0.14/0.38 % (13312)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)
% 0.14/0.38 % (13313)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)
% 0.14/0.38 % (13307)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.20/0.41 TRYING [3]
% 0.20/0.41 % (13312)First to succeed.
% 0.20/0.41 % (13312)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13306"
% 0.20/0.41 % (13312)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Theorem for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (13312)------------------------------
% 0.20/0.41 % (13312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.41 % (13312)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (13312)Memory used [KB]: 1419
% 0.20/0.41 % (13312)Time elapsed: 0.034 s
% 0.20/0.41 % (13312)Instructions burned: 54 (million)
% 0.20/0.41 % (13306)Success in time 0.052 s
%------------------------------------------------------------------------------