TSTP Solution File: RNG104+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG104+2 : 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 : n010.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 08:57:16 EDT 2024
% Result : Theorem 19.38s 3.14s
% Output : Refutation 19.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 16 unt; 0 def)
% Number of atoms : 104 ( 35 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 99 ( 36 ~; 31 |; 27 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 39 ( 33 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48783,plain,
$false,
inference(trivial_inequality_removal,[],[f48776]) ).
fof(f48776,plain,
sdtasdt0(xx,xz) != sdtasdt0(xx,xz),
inference(superposition,[],[f16159,f48753]) ).
fof(f48753,plain,
sdtasdt0(xc,sdtasdt0(xu,xz)) = sdtasdt0(xx,xz),
inference(resolution,[],[f12919,f193]) ).
fof(f193,plain,
aElement0(xz),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& xy = sdtasdt0(xc,sK9)
& aElement0(sK9)
& aElementOf0(xx,slsdtgt0(xc))
& xx = sdtasdt0(xc,sK10)
& aElement0(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f46,f120,f119]) ).
fof(f119,plain,
( ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
=> ( xy = sdtasdt0(xc,sK9)
& aElement0(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ? [X1] :
( xx = sdtasdt0(xc,X1)
& aElement0(X1) )
=> ( xx = sdtasdt0(xc,sK10)
& aElement0(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X1] :
( xx = sdtasdt0(xc,X1)
& aElement0(X1) ) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xx
& aElement0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
fof(f12919,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtasdt0(xc,sdtasdt0(xu,X0)) ),
inference(forward_demodulation,[],[f12875,f186]) ).
fof(f186,plain,
xx = sdtasdt0(xc,xu),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
( xx = sdtasdt0(xc,xu)
& aElement0(xu) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
fof(f12875,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(xc,xu),X0) = sdtasdt0(xc,sdtasdt0(xu,X0)) ),
inference(resolution,[],[f2712,f181]) ).
fof(f181,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
fof(f2712,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X1,xu),X0) = sdtasdt0(X1,sdtasdt0(xu,X0)) ),
inference(resolution,[],[f289,f185]) ).
fof(f185,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f289,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f16159,plain,
sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xx,xz),
inference(backward_demodulation,[],[f180,f16157]) ).
fof(f16157,plain,
sdtasdt0(xz,xx) = sdtasdt0(xx,xz),
inference(resolution,[],[f16155,f181]) ).
fof(f16155,plain,
( ~ aElement0(xc)
| sdtasdt0(xz,xx) = sdtasdt0(xx,xz) ),
inference(resolution,[],[f1277,f187]) ).
fof(f187,plain,
aElement0(sK10),
inference(cnf_transformation,[],[f121]) ).
fof(f1277,plain,
( ~ aElement0(sK10)
| sdtasdt0(xz,xx) = sdtasdt0(xx,xz)
| ~ aElement0(xc) ),
inference(resolution,[],[f1056,f450]) ).
fof(f450,plain,
( aElement0(xx)
| ~ aElement0(sK10)
| ~ aElement0(xc) ),
inference(superposition,[],[f268,f188]) ).
fof(f188,plain,
xx = sdtasdt0(xc,sK10),
inference(cnf_transformation,[],[f121]) ).
fof(f268,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f1056,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xz) = sdtasdt0(xz,X0) ),
inference(resolution,[],[f270,f193]) ).
fof(f270,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f180,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(flattening,[],[f44]) ).
fof(f44,negated_conjecture,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG104+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n010.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 18:15:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (22575)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (22576)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (22582)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)
% 0.15/0.38 % (22578)WARNING: value z3 for option sas not known
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (22579)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (22577)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (22581)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)
% 0.15/0.39 % (22578)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)
% 0.15/0.39 % (22580)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)
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.45 TRYING [4]
% 0.21/0.47 TRYING [4]
% 1.67/0.60 TRYING [5]
% 2.00/0.65 TRYING [5]
% 4.11/0.94 TRYING [6]
% 5.28/1.10 TRYING [6]
% 8.06/1.49 TRYING [1]
% 8.06/1.49 TRYING [2]
% 8.06/1.50 TRYING [3]
% 8.32/1.53 TRYING [4]
% 8.86/1.68 TRYING [5]
% 12.49/2.17 TRYING [6]
% 13.11/2.23 TRYING [7]
% 15.78/2.61 TRYING [7]
% 19.38/3.13 % (22581)First to succeed.
% 19.38/3.13 % (22581)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22575"
% 19.38/3.14 % (22581)Refutation found. Thanks to Tanya!
% 19.38/3.14 % SZS status Theorem for theBenchmark
% 19.38/3.14 % SZS output start Proof for theBenchmark
% See solution above
% 19.38/3.14 % (22581)------------------------------
% 19.38/3.14 % (22581)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 19.38/3.14 % (22581)Termination reason: Refutation
% 19.38/3.14
% 19.38/3.14 % (22581)Memory used [KB]: 40888
% 19.38/3.14 % (22581)Time elapsed: 2.745 s
% 19.38/3.14 % (22581)Instructions burned: 7572 (million)
% 19.38/3.14 % (22575)Success in time 2.759 s
%------------------------------------------------------------------------------