TSTP Solution File: NUM838+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM838+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 08:42:30 EDT 2024
% Result : Theorem 0.14s 0.33s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 57 ( 23 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 20 ~; 16 |; 6 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 46 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1358,plain,
$false,
inference(subsumption_resolution,[],[f1336,f1254]) ).
fof(f1254,plain,
less(vd302,vd301),
inference(superposition,[],[f189,f1225]) ).
fof(f1225,plain,
vd301 = vplus(vd302,sK3(vd302,vd301)),
inference(resolution,[],[f165,f131]) ).
fof(f131,plain,
greater(vd301,vd302),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(vd301,vd302),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(195), 304, 0)') ).
fof(f165,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK3(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( vplus(X0,sK3(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f125,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK3(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X35,X36] :
( greater(X36,X35)
<=> ? [X37] : vplus(X35,X37) = X36 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f189,plain,
! [X2,X1] : less(X1,vplus(X1,X2)),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X2,X0,X1] :
( less(X1,X0)
| vplus(X1,X2) != X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( vplus(X1,sK2(X0,X1)) = X0
| ~ less(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f121,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK2(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X3] : vplus(X1,X3) = X0
| ~ less(X1,X0) ) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X2] : vplus(X1,X2) = X0
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( less(X1,X0)
<=> ? [X2] : vplus(X1,X2) = X0 ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X32,X33] :
( less(X33,X32)
<=> ? [X34] : vplus(X33,X34) = X32 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof(f1336,plain,
~ less(vd302,vd301),
inference(resolution,[],[f171,f130]) ).
fof(f130,plain,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vplus(vd301,vd303),vplus(vd302,vd303)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(195), 305, 0)') ).
fof(f171,plain,
! [X2,X0,X1] :
( greater(vplus(X2,X0),vplus(X1,X0))
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( greater(vplus(X2,X0),vplus(X1,X0))
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( less(X1,X2)
=> greater(vplus(X2,X0),vplus(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : NUM838+1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 15:08:37 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (6602)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (6605)WARNING: value z3 for option sas not known
% 0.09/0.30 % (6605)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)
% 0.09/0.30 % (6604)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.30 % (6607)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)
% 0.09/0.31 % (6608)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)
% 0.09/0.31 % (6609)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)
% 0.09/0.31 % (6603)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.31 % (6606)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 TRYING [3]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 % (6605)First to succeed.
% 0.14/0.32 TRYING [4]
% 0.14/0.32 % (6605)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6602"
% 0.14/0.33 % (6605)Refutation found. Thanks to Tanya!
% 0.14/0.33 % SZS status Theorem for theBenchmark
% 0.14/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.33 % (6605)------------------------------
% 0.14/0.33 % (6605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.33 % (6605)Termination reason: Refutation
% 0.14/0.33
% 0.14/0.33 % (6605)Memory used [KB]: 1376
% 0.14/0.33 % (6605)Time elapsed: 0.023 s
% 0.14/0.33 % (6605)Instructions burned: 60 (million)
% 0.14/0.33 % (6602)Success in time 0.022 s
%------------------------------------------------------------------------------