TSTP Solution File: NUM848+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM848+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 : n005.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 08:42:34 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 60 ( 30 unt; 0 def)
% Number of atoms : 110 ( 45 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 90 ( 40 ~; 30 |; 10 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f281,plain,
$false,
inference(avatar_sat_refutation,[],[f253,f257,f261,f265,f269,f274,f280]) ).
fof(f280,plain,
spl4_6,
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f279,plain,
( $false
| spl4_6 ),
inference(trivial_inequality_removal,[],[f278]) ).
fof(f278,plain,
( vplus(vmul(vd437,vd436),vmul(vd436,vplus(vd439,v1))) != vplus(vmul(vd437,vd436),vmul(vd436,vplus(vd439,v1)))
| spl4_6 ),
inference(forward_demodulation,[],[f277,f169]) ).
fof(f169,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X70,X71] : vplus(X71,X70) = vplus(X70,X71),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f277,plain,
( vplus(vmul(vd437,vd436),vmul(vd436,vplus(vd439,v1))) != vplus(vmul(vd437,vd436),vmul(vd436,vplus(v1,vd439)))
| spl4_6 ),
inference(forward_demodulation,[],[f276,f230]) ).
fof(f230,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f174,f164]) ).
fof(f164,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X74] : vplus(v1,X74) = vsucc(X74),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f174,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X5,X6] :
( vmul(X5,v1) = X5
& vmul(X5,vsucc(X6)) = vplus(vmul(X5,X6),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f276,plain,
( vplus(vmul(vd437,vd436),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd437,vd436),vmul(vd436,vplus(vd439,v1)))
| spl4_6 ),
inference(forward_demodulation,[],[f275,f168]) ).
fof(f168,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f275,plain,
( vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1)))
| spl4_6 ),
inference(forward_demodulation,[],[f273,f169]) ).
fof(f273,plain,
( vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439)))
| spl4_6 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl4_6
<=> vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f274,plain,
~ spl4_6,
inference(avatar_split_clause,[],[f218,f271]) ).
fof(f218,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))),
inference(definition_unfolding,[],[f151,f164]) ).
fof(f151,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 4)') ).
fof(f269,plain,
spl4_5,
inference(avatar_split_clause,[],[f239,f267]) ).
fof(f267,plain,
( spl4_5
<=> ! [X1] : geq(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f239,plain,
! [X1] : geq(X1,X1),
inference(equality_resolution,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( geq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( geq(X1,X0)
<=> ( X0 = X1
| greater(X1,X0) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X47,X48] :
( geq(X48,X47)
<=> ( X47 = X48
| greater(X48,X47) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f265,plain,
spl4_4,
inference(avatar_split_clause,[],[f238,f263]) ).
fof(f263,plain,
( spl4_4
<=> ! [X1] : leq(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f238,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( leq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( leq(X1,X0)
<=> ( X0 = X1
| less(X1,X0) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X45,X46] :
( leq(X46,X45)
<=> ( X45 = X46
| less(X46,X45) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof(f261,plain,
spl4_3,
inference(avatar_split_clause,[],[f234,f259]) ).
fof(f259,plain,
( spl4_3
<=> ! [X1] : ~ greater(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f234,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X53,X54] :
( ~ greater(X53,X54)
| X53 != X54 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f257,plain,
spl4_2,
inference(avatar_split_clause,[],[f233,f255]) ).
fof(f255,plain,
( spl4_2
<=> ! [X1] : ~ less(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f233,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X53,X54] :
( ~ less(X53,X54)
| X53 != X54 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f253,plain,
spl4_1,
inference(avatar_split_clause,[],[f160,f251]) ).
fof(f251,plain,
( spl4_1
<=> ! [X0] : geq(X0,v1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f160,plain,
! [X0] : geq(X0,v1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] : geq(X0,v1),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X11] : geq(X11,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM848+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 15:12:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (22487)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (22490)WARNING: value z3 for option sas not known
% 0.13/0.37 % (22491)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (22489)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (22488)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (22493)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)
% 0.13/0.37 % (22492)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)
% 0.13/0.37 % (22494)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)
% 0.13/0.37 % (22490)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)
% 0.13/0.37 % (22492)First to succeed.
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (22492)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22487"
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (22492)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (22492)------------------------------
% 0.13/0.37 % (22492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (22492)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (22492)Memory used [KB]: 885
% 0.13/0.37 % (22492)Time elapsed: 0.006 s
% 0.13/0.37 % (22492)Instructions burned: 8 (million)
% 0.13/0.37 % (22487)Success in time 0.012 s
%------------------------------------------------------------------------------