TSTP Solution File: NUM568+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM568+3 : 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 : n023.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 08:38:30 EDT 2024
% Result : Theorem 0.16s 0.42s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 53 ( 29 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 18 ~; 20 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 15 ( 9 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1073,plain,
$false,
inference(trivial_inequality_removal,[],[f1072]) ).
fof(f1072,plain,
sz00 != sz00,
inference(superposition,[],[f345,f930]) ).
fof(f930,plain,
sz00 = xK,
inference(resolution,[],[f926,f347]) ).
fof(f347,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f926,plain,
( ~ aElementOf0(xK,szNzAzT0)
| sz00 = xK ),
inference(duplicate_literal_removal,[],[f922]) ).
fof(f922,plain,
( sz00 = xK
| sz00 = xK
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[],[f921,f463]) ).
fof(f463,plain,
! [X0] :
( aElementOf0(sK37(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ( szszuzczcdt0(sK37(X0)) = X0
& aElementOf0(sK37(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f135,f285]) ).
fof(f285,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK37(X0)) = X0
& aElementOf0(sK37(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f921,plain,
( ~ aElementOf0(sK37(xK),szNzAzT0)
| sz00 = xK ),
inference(trivial_inequality_removal,[],[f912]) ).
fof(f912,plain,
( xK != xK
| ~ aElementOf0(sK37(xK),szNzAzT0)
| sz00 = xK ),
inference(superposition,[],[f344,f906]) ).
fof(f906,plain,
( xK = szszuzczcdt0(sK37(xK))
| sz00 = xK ),
inference(resolution,[],[f464,f347]) ).
fof(f464,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK37(X0)) = X0 ),
inference(cnf_transformation,[],[f286]) ).
fof(f344,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,negated_conjecture,
~ ? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f345,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM568+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n023.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 15:08:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (28543)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (28546)WARNING: value z3 for option sas not known
% 0.16/0.39 % (28544)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (28545)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (28547)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (28546)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)
% 0.16/0.39 % (28548)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)
% 0.16/0.39 % (28549)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)
% 0.16/0.39 % (28550)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)
% 0.16/0.41 TRYING [1]
% 0.16/0.41 % (28549)First to succeed.
% 0.16/0.42 % (28549)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28543"
% 0.16/0.42 TRYING [2]
% 0.16/0.42 % (28549)Refutation found. Thanks to Tanya!
% 0.16/0.42 % SZS status Theorem for theBenchmark
% 0.16/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.42 % (28549)------------------------------
% 0.16/0.42 % (28549)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.42 % (28549)Termination reason: Refutation
% 0.16/0.42
% 0.16/0.42 % (28549)Memory used [KB]: 1467
% 0.16/0.42 % (28549)Time elapsed: 0.030 s
% 0.16/0.42 % (28549)Instructions burned: 46 (million)
% 0.16/0.42 % (28543)Success in time 0.05 s
%------------------------------------------------------------------------------