TSTP Solution File: LCL211-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL211-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 07:44:31 EDT 2024
% Result : Unsatisfiable 0.17s 0.44s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 15 unt; 0 def)
% Number of atoms : 76 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3070,plain,
$false,
inference(subsumption_resolution,[],[f3044,f3]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f3044,plain,
~ axiom(implies(or(p,q),or(q,p))),
inference(resolution,[],[f1102,f833]) ).
fof(f833,plain,
~ theorem(or(implies(or(p,q),p),q)),
inference(resolution,[],[f818,f9]) ).
fof(f9,axiom,
~ theorem(implies(not(q),implies(or(p,q),p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f818,plain,
! [X0,X1] :
( theorem(implies(not(X1),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f707,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(implies(X1,X0)) ),
inference(resolution,[],[f12,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ axiom(implies(X1,X0))
| ~ theorem(X1)
| theorem(X0) ),
inference(resolution,[],[f8,f7]) ).
fof(f7,axiom,
! [X3] :
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(implies(X4,X3))
| theorem(X3)
| ~ theorem(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f12,plain,
! [X0,X1] : axiom(implies(or(X1,not(X0)),implies(X0,X1))),
inference(superposition,[],[f3,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f707,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f141,f535]) ).
fof(f535,plain,
! [X0] : theorem(implies(X0,not(not(X0)))),
inference(resolution,[],[f528,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ theorem(implies(X0,not(X1)))
| theorem(implies(X1,not(X0))) ),
inference(superposition,[],[f70,f6]) ).
fof(f528,plain,
! [X0] : theorem(implies(X0,X0)),
inference(resolution,[],[f524,f2]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f524,plain,
! [X0,X1] :
( ~ axiom(implies(X0,or(X1,X1)))
| theorem(implies(X0,X1)) ),
inference(forward_demodulation,[],[f523,f6]) ).
fof(f523,plain,
! [X0,X1] :
( ~ axiom(implies(X0,or(X1,X1)))
| theorem(or(not(X0),X1)) ),
inference(superposition,[],[f511,f6]) ).
fof(f511,plain,
! [X0,X1] :
( ~ axiom(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f115,f382]) ).
fof(f382,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X0)))
| theorem(or(X1,X0)) ),
inference(resolution,[],[f365,f16]) ).
fof(f16,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f15,f1]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f365,plain,
! [X2,X0,X1] :
( theorem(or(X1,or(X2,X0)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f272,f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f4,f15]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f272,plain,
! [X2,X0,X1] :
( theorem(or(X2,or(X1,X0)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f246,f3]) ).
fof(f246,plain,
! [X2,X0,X1] :
( ~ axiom(implies(X2,X1))
| ~ theorem(X2)
| theorem(or(X0,X1)) ),
inference(resolution,[],[f189,f7]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,X1))
| ~ theorem(X0) ),
inference(resolution,[],[f151,f8]) ).
fof(f151,plain,
! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(implies(X0,X2)) ),
inference(forward_demodulation,[],[f150,f6]) ).
fof(f150,plain,
! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(superposition,[],[f114,f6]) ).
fof(f114,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f25,f18]) ).
fof(f18,plain,
! [X0,X1] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(resolution,[],[f15,f2]) ).
fof(f115,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ axiom(or(X1,or(X0,X2))) ),
inference(resolution,[],[f25,f7]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f50,f8]) ).
fof(f50,plain,
! [X2,X0,X1] :
( theorem(implies(or(X2,X0),or(X2,X1)))
| ~ theorem(implies(X0,X1)) ),
inference(resolution,[],[f5,f15]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f1102,plain,
! [X2,X0,X1] :
( theorem(or(implies(X0,X2),X1))
| ~ axiom(implies(X0,or(X1,X2))) ),
inference(resolution,[],[f331,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(resolution,[],[f15,f3]) ).
fof(f331,plain,
! [X2,X0,X1] :
( theorem(or(X0,implies(X1,X2)))
| ~ axiom(implies(X1,or(X0,X2))) ),
inference(resolution,[],[f106,f7]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) ),
inference(resolution,[],[f31,f15]) ).
fof(f31,plain,
! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f27,f6]) ).
fof(f27,plain,
! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[],[f4,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL211-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n017.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 12:46:51 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % (4449)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.33 % (4452)WARNING: value z3 for option sas not known
% 0.17/0.33 % (4453)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.33 % (4456)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)
% 0.17/0.33 % (4454)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)
% 0.17/0.33 % (4455)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)
% 0.17/0.33 % (4450)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.33 % (4451)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.33 % (4452)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)
% 0.17/0.33 TRYING [1]
% 0.17/0.33 TRYING [2]
% 0.17/0.33 TRYING [1]
% 0.17/0.33 TRYING [2]
% 0.17/0.33 TRYING [3]
% 0.17/0.33 TRYING [3]
% 0.17/0.34 TRYING [4]
% 0.17/0.34 TRYING [4]
% 0.17/0.36 TRYING [5]
% 0.17/0.38 TRYING [5]
% 0.17/0.44 % (4452)First to succeed.
% 0.17/0.44 % (4452)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4449"
% 0.17/0.44 % (4452)Refutation found. Thanks to Tanya!
% 0.17/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.44 % (4452)------------------------------
% 0.17/0.44 % (4452)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.44 % (4452)Termination reason: Refutation
% 0.17/0.44
% 0.17/0.44 % (4452)Memory used [KB]: 1799
% 0.17/0.44 % (4452)Time elapsed: 0.116 s
% 0.17/0.44 % (4452)Instructions burned: 219 (million)
% 0.17/0.44 % (4449)Success in time 0.127 s
%------------------------------------------------------------------------------