TSTP Solution File: LCL901+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL901+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 : n028.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 07:55:44 EDT 2024
% Result : Theorem 6.28s 1.25s
% Output : Refutation 6.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 55 ( 32 unt; 0 def)
% Number of atoms : 85 ( 30 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 28 ~; 20 |; 3 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 100 ( 98 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40733,plain,
$false,
inference(subsumption_resolution,[],[f40523,f372]) ).
fof(f372,plain,
! [X0] : '0' = '==>'(X0,X0),
inference(resolution,[],[f318,f68]) ).
fof(f68,plain,
! [X0] :
( ~ '>='('0',X0)
| '0' = X0 ),
inference(resolution,[],[f43,f37]) ).
fof(f37,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f43,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,[],[f6]) ).
fof(f6,axiom,
! [X6,X7] :
( ( '>='(X7,X6)
& '>='(X6,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f318,plain,
! [X0,X1] : '>='(X0,'==>'(X1,X1)),
inference(resolution,[],[f49,f97]) ).
fof(f97,plain,
! [X0,X1] : '>='('+'(X1,X0),X1),
inference(superposition,[],[f93,f41]) ).
fof(f41,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f93,plain,
! [X0,X1] : '>='('+'(X1,X0),X0),
inference(subsumption_resolution,[],[f87,f37]) ).
fof(f87,plain,
! [X0,X1] :
( '>='('+'(X1,X0),X0)
| ~ '>='(X1,'0') ),
inference(superposition,[],[f45,f51]) ).
fof(f51,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f41,f39]) ).
fof(f39,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f45,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('+'(X0,X2),'+'(X1,X2)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X11,X12,X13] :
( '>='(X11,X12)
=> '>='('+'(X11,X13),'+'(X12,X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
fof(f49,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,[],[f7]) ).
fof(f7,axiom,
! [X8,X9,X10] :
( '>='('+'(X8,X9),X10)
<=> '>='(X9,'==>'(X8,X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f40523,plain,
'0' != '==>'(sK0,sK0),
inference(superposition,[],[f35,f40085]) ).
fof(f40085,plain,
! [X0,X1] : '==>'('==>'(X0,X1),X0) = X0,
inference(resolution,[],[f40005,f358]) ).
fof(f358,plain,
! [X0,X1] :
( ~ '>='('==>'(X0,X1),X1)
| '==>'(X0,X1) = X1 ),
inference(resolution,[],[f319,f43]) ).
fof(f319,plain,
! [X0,X1] : '>='(X0,'==>'(X1,X0)),
inference(resolution,[],[f49,f93]) ).
fof(f40005,plain,
! [X0,X1] : '>='('==>'('==>'(X0,X1),X0),X0),
inference(resolution,[],[f38721,f35739]) ).
fof(f35739,plain,
! [X0,X1] :
( ~ '>='('==>'(X1,X0),X0)
| '>='('==>'(X0,X1),X1) ),
inference(resolution,[],[f942,f335]) ).
fof(f335,plain,
! [X0,X1] :
( '>='('0','==>'(X0,X1))
| ~ '>='(X0,X1) ),
inference(superposition,[],[f49,f39]) ).
fof(f942,plain,
! [X0,X1] :
( ~ '>='('0','==>'('==>'(X1,X0),X0))
| '>='('==>'(X0,X1),X1) ),
inference(superposition,[],[f441,f42]) ).
fof(f42,plain,
! [X0,X1] : '==>'('==>'(X0,X1),X1) = '==>'('==>'(X1,X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] : '==>'('==>'(X0,X1),X1) = '==>'('==>'(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f441,plain,
! [X0,X1] :
( ~ '>='('0','==>'(X0,X1))
| '>='(X0,X1) ),
inference(superposition,[],[f50,f39]) ).
fof(f50,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f38721,plain,
! [X0,X1] : '>='('==>'(X0,'==>'(X0,X1)),'==>'(X0,X1)),
inference(resolution,[],[f38598,f49]) ).
fof(f38598,plain,
! [X0,X1] : '>='('+'(X0,'==>'(X0,'==>'(X0,X1))),X1),
inference(resolution,[],[f38346,f967]) ).
fof(f967,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),'==>'(X0,X2))
| '>='('+'(X0,X1),X2) ),
inference(superposition,[],[f50,f607]) ).
fof(f607,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X0,'+'(X0,X1)),
inference(superposition,[],[f44,f40]) ).
fof(f40,plain,
! [X0] : '+'(X0,X0) = X0,
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] : '+'(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
fof(f44,plain,
! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f38346,plain,
! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
inference(resolution,[],[f967,f93]) ).
fof(f35,plain,
'0' != '==>'('==>'('==>'(sK0,'1'),sK0),sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
'0' != '==>'('==>'('==>'(sK0,'1'),sK0),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f32]) ).
fof(f32,plain,
( ? [X0] : '0' != '==>'('==>'('==>'(X0,'1'),X0),X0)
=> '0' != '==>'('==>'('==>'(sK0,'1'),sK0),sK0) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0] : '0' != '==>'('==>'('==>'(X0,'1'),X0),X0),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0] : '0' = '==>'('==>'('==>'(X0,'1'),X0),X0),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X20] : '0' = '==>'('==>'('==>'(X20,'1'),X20),X20),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X20] : '0' = '==>'('==>'('==>'(X20,'1'),X20),X20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL901+1 : TPTP v8.1.2. Released v5.5.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n028.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 13:56:48 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (7193)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (7196)WARNING: value z3 for option sas not known
% 0.15/0.38 % (7195)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (7198)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)
% 0.15/0.38 % (7197)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (7196)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)
% 0.15/0.38 % (7194)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (7199)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)
% 0.15/0.38 % (7200)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 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [5]
% 0.15/0.41 TRYING [4]
% 0.22/0.43 TRYING [6]
% 0.22/0.47 TRYING [5]
% 0.22/0.49 TRYING [1]
% 0.22/0.49 TRYING [2]
% 0.22/0.49 TRYING [3]
% 0.22/0.50 TRYING [4]
% 0.22/0.51 TRYING [7]
% 0.22/0.51 TRYING [5]
% 0.22/0.54 TRYING [6]
% 0.22/0.58 TRYING [6]
% 1.76/0.61 TRYING [8]
% 2.06/0.67 TRYING [7]
% 3.09/0.81 TRYING [7]
% 3.09/0.82 TRYING [9]
% 3.09/0.85 TRYING [8]
% 5.20/1.16 TRYING [10]
% 5.86/1.18 TRYING [9]
% 6.28/1.24 % (7196)First to succeed.
% 6.28/1.25 % (7196)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7193"
% 6.28/1.25 TRYING [8]
% 6.28/1.25 % (7196)Refutation found. Thanks to Tanya!
% 6.28/1.25 % SZS status Theorem for theBenchmark
% 6.28/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 6.28/1.25 % (7196)------------------------------
% 6.28/1.25 % (7196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.28/1.25 % (7196)Termination reason: Refutation
% 6.28/1.25
% 6.28/1.25 % (7196)Memory used [KB]: 12857
% 6.28/1.25 % (7196)Time elapsed: 0.872 s
% 6.28/1.25 % (7196)Instructions burned: 2740 (million)
% 6.28/1.25 % (7193)Success in time 0.874 s
%------------------------------------------------------------------------------