TSTP Solution File: RNG124+4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG124+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 : n020.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 : Tue Apr 30 14:53:14 EDT 2024
% Result : ContradictoryAxioms 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 96 ( 37 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 107 ( 31 ~; 21 |; 51 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 30 ( 12 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3177,plain,
$false,
inference(trivial_inequality_removal,[],[f3176]) ).
fof(f3176,plain,
sz00 != sz00,
inference(superposition,[],[f250,f3124]) ).
fof(f3124,plain,
sz00 = xr,
inference(resolution,[],[f3123,f308]) ).
fof(f308,plain,
aElementOf0(xr,xI),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( aElementOf0(xr,xI)
& xr = sdtpldt0(sK23,sK24)
& aElementOf0(sK24,slsdtgt0(xb))
& aElementOf0(sK23,slsdtgt0(xa)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f55,f170]) ).
fof(f170,plain,
( ? [X0,X1] :
( sdtpldt0(X0,X1) = xr
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
=> ( xr = sdtpldt0(sK23,sK24)
& aElementOf0(sK24,slsdtgt0(xb))
& aElementOf0(sK23,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,axiom,
( aElementOf0(xr,xI)
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xr
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2729) ).
fof(f3123,plain,
( ~ aElementOf0(xr,xI)
| sz00 = xr ),
inference(duplicate_literal_removal,[],[f3122]) ).
fof(f3122,plain,
( sz00 = xr
| ~ aElementOf0(xr,xI)
| sz00 = xr ),
inference(resolution,[],[f315,f270]) ).
fof(f270,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr )
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& aElement0(xr)
& aElement0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).
fof(f315,plain,
! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& xu = sdtpldt0(sK25,sK26)
& aElementOf0(sK26,slsdtgt0(xb))
& aElementOf0(sK25,slsdtgt0(xa)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f79,f172]) ).
fof(f172,plain,
( ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
=> ( xu = sdtpldt0(sK25,sK26)
& aElementOf0(sK26,slsdtgt0(xb))
& aElementOf0(sK25,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
( ! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(f250,plain,
sz00 != xr,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
sz00 != xr,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2673) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG124+4 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.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 : Tue Apr 30 02:05:32 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (27647)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (27651)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (27650)WARNING: value z3 for option sas not known
% 0.21/0.37 % (27649)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (27650)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)
% 0.21/0.37 % (27648)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (27653)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)
% 0.21/0.37 % (27654)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)
% 0.21/0.37 % (27652)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.42 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [4]
% 0.21/0.44 TRYING [3]
% 0.21/0.47 % (27653)First to succeed.
% 0.21/0.47 % (27653)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status ContradictoryAxioms for theBenchmark
% 0.21/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.47 % (27653)------------------------------
% 0.21/0.47 % (27653)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.47 % (27653)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (27653)Memory used [KB]: 2795
% 0.21/0.47 % (27653)Time elapsed: 0.095 s
% 0.21/0.47 % (27653)Instructions burned: 176 (million)
% 0.21/0.47 % (27653)------------------------------
% 0.21/0.47 % (27653)------------------------------
% 0.21/0.47 % (27647)Success in time 0.113 s
%------------------------------------------------------------------------------