TSTP Solution File: LCL893+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL893+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 07:55:38 EDT 2024
% Result : Theorem 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 73 ( 24 unt; 0 def)
% Number of atoms : 141 ( 36 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 116 ( 48 ~; 41 |; 9 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 104 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f376,plain,
$false,
inference(avatar_sat_refutation,[],[f142,f291,f366,f373,f375]) ).
fof(f375,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f374,plain,
( $false
| ~ spl1_4 ),
inference(subsumption_resolution,[],[f371,f36]) ).
fof(f36,plain,
'0' != sK0,
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( '0' != sK0
& sK0 = h(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f32]) ).
fof(f32,plain,
( ? [X0] :
( '0' != X0
& h(X0) = X0 )
=> ( '0' != sK0
& sK0 = h(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0] :
( '0' != X0
& h(X0) = X0 ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0] :
( h(X0) = X0
=> '0' = X0 ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X20] :
( h(X20) = X20
=> '0' = X20 ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X20] :
( h(X20) = X20
=> '0' = X20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f371,plain,
( '0' = sK0
| ~ spl1_4 ),
inference(resolution,[],[f290,f70]) ).
fof(f70,plain,
! [X0] :
( ~ '>='('0',X0)
| '0' = X0 ),
inference(resolution,[],[f44,f38]) ).
fof(f38,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(f44,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| X0 = X1
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X1,X0)
| ~ '>='(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X1,X0)
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( '>='(X1,X0)
& '>='(X0,X1) )
=> X0 = X1 ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X6,X7] :
( ( '>='(X7,X6)
& '>='(X6,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f290,plain,
( ! [X0] : '>='(X0,sK0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl1_4
<=> ! [X0] : '>='(X0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f373,plain,
( spl1_1
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f370,plain,
( $false
| spl1_1
| ~ spl1_4 ),
inference(resolution,[],[f290,f138]) ).
fof(f138,plain,
( ~ '>='('0',sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl1_1
<=> '>='('0',sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f366,plain,
spl1_4,
inference(avatar_split_clause,[],[f349,f289]) ).
fof(f349,plain,
! [X0] : '>='(X0,sK0),
inference(superposition,[],[f248,f52]) ).
fof(f52,plain,
sK0 = '==>'(sK0,sK0),
inference(superposition,[],[f41,f35]) ).
fof(f35,plain,
sK0 = h(sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f41,plain,
! [X0] : h(X0) = '==>'(h(X0),X0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] : h(X0) = '==>'(h(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f248,plain,
! [X0,X1] : '>='(X0,'==>'(X1,X1)),
inference(resolution,[],[f50,f186]) ).
fof(f186,plain,
! [X0,X1] : '>='('+'(X1,X0),X1),
inference(superposition,[],[f179,f42]) ).
fof(f42,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f179,plain,
! [X0,X1] : '>='('+'(X1,X0),X0),
inference(subsumption_resolution,[],[f174,f38]) ).
fof(f174,plain,
! [X0,X1] :
( '>='('+'(X1,X0),X0)
| ~ '>='(X1,'0') ),
inference(superposition,[],[f48,f54]) ).
fof(f54,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f42,f40]) ).
fof(f40,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f48,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('+'(X0,X2),'+'(X1,X2)) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X11,X12,X13] :
( '>='(X11,X12)
=> '>='('+'(X11,X13),'+'(X12,X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) )
& ( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X8,X9,X10] :
( '>='('+'(X8,X9),X10)
<=> '>='(X9,'==>'(X8,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f291,plain,
( ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f278,f289,f285]) ).
fof(f285,plain,
( spl1_3
<=> '>='(sK0,'1') ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f278,plain,
! [X0] :
( '>='(X0,sK0)
| ~ '>='(sK0,'1') ),
inference(resolution,[],[f263,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ '>='(X1,'==>'(X0,sK0))
| '>='(X1,sK0)
| ~ '>='(sK0,X0) ),
inference(resolution,[],[f80,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ '>='(X1,X2)
| '>='(X0,X2)
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( '>='(X0,X2)
| ~ '>='(X1,X2)
| ~ '>='(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( '>='(X0,X2)
| ~ '>='(X1,X2)
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( '>='(X1,X2)
& '>='(X0,X1) )
=> '>='(X0,X2) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3,X4,X5] :
( ( '>='(X4,X5)
& '>='(X3,X4) )
=> '>='(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f80,plain,
! [X0] :
( '>='('==>'(X0,sK0),sK0)
| ~ '>='(sK0,X0) ),
inference(superposition,[],[f46,f52]) ).
fof(f46,plain,
! [X2,X0,X1] :
( '>='('==>'(X1,X2),'==>'(X0,X2))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( '>='('==>'(X1,X2),'==>'(X0,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('==>'(X1,X2),'==>'(X0,X2)) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X14,X15,X16] :
( '>='(X14,X15)
=> '>='('==>'(X15,X16),'==>'(X14,X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(f263,plain,
! [X0,X1] : '>='(X0,'==>'('1',X1)),
inference(subsumption_resolution,[],[f261,f188]) ).
fof(f188,plain,
! [X0] : '>='('1',X0),
inference(superposition,[],[f179,f53]) ).
fof(f53,plain,
! [X0] : '1' = '+'('1',X0),
inference(superposition,[],[f42,f39]) ).
fof(f39,plain,
! [X0] : '1' = '+'(X0,'1'),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : '1' = '+'(X0,'1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f261,plain,
! [X0,X1] :
( ~ '>='('1',X1)
| '>='(X0,'==>'('1',X1)) ),
inference(superposition,[],[f50,f53]) ).
fof(f142,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f93,f140,f136]) ).
fof(f140,plain,
( spl1_2
<=> ! [X0] :
( ~ '>='(X0,sK0)
| '0' = '==>'(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f93,plain,
! [X0] :
( ~ '>='(X0,sK0)
| ~ '>='('0',sK0)
| '0' = '==>'(X0,sK0) ),
inference(resolution,[],[f81,f70]) ).
fof(f81,plain,
! [X0,X1] :
( '>='(X1,'==>'(X0,sK0))
| ~ '>='(X0,sK0)
| ~ '>='(X1,sK0) ),
inference(resolution,[],[f78,f49]) ).
fof(f78,plain,
! [X0] :
( '>='(sK0,'==>'(X0,sK0))
| ~ '>='(X0,sK0) ),
inference(superposition,[],[f46,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL893+1 : TPTP v8.1.2. Released v5.5.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35 % Computer : n003.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri May 3 13:30:05 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % (1843)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.37 % (1846)WARNING: value z3 for option sas not known
% 0.20/0.37 % (1846)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)
% 0.20/0.37 % (1844)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (1849)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)
% 0.20/0.37 % (1847)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (1850)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)
% 0.20/0.37 % (1845)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (1848)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)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 % (1846)First to succeed.
% 0.20/0.38 % (1846)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1843"
% 0.20/0.38 % (1849)Also succeeded, but the first one will report.
% 0.20/0.38 % (1846)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Theorem for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (1846)------------------------------
% 0.20/0.38 % (1846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (1846)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (1846)Memory used [KB]: 915
% 0.20/0.38 % (1846)Time elapsed: 0.012 s
% 0.20/0.38 % (1846)Instructions burned: 17 (million)
% 0.20/0.38 % (1843)Success in time 0.028 s
%------------------------------------------------------------------------------