TSTP Solution File: FLD013-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD013-2 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Mon May 20 19:56:18 EDT 2024
% Result : Unsatisfiable 8.18s 1.56s
% Output : Refutation 8.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 16 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f60167,plain,
$false,
inference(subsumption_resolution,[],[f60166,f36]) ).
fof(f36,axiom,
~ equalish(add(d,b),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_not_equal_to_u_9) ).
fof(f60166,plain,
equalish(add(d,b),u),
inference(resolution,[],[f60157,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f60157,plain,
equalish(u,add(d,b)),
inference(resolution,[],[f60156,f4688]) ).
fof(f4688,plain,
! [X0] :
( ~ equalish(X0,add(c,b))
| equalish(X0,add(d,b)) ),
inference(resolution,[],[f4670,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f4670,plain,
equalish(add(c,b),add(d,b)),
inference(resolution,[],[f4083,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f4083,plain,
! [X0] :
( ~ defined(X0)
| equalish(add(c,X0),add(d,X0)) ),
inference(resolution,[],[f24,f34]) ).
fof(f34,axiom,
equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_equals_d_7) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ defined(X2)
| equalish(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f60156,plain,
equalish(u,add(c,b)),
inference(resolution,[],[f60139,f22]) ).
fof(f60139,plain,
equalish(add(c,b),u),
inference(resolution,[],[f20161,f4314]) ).
fof(f4314,plain,
! [X0] :
( ~ equalish(X0,add(b,c))
| equalish(X0,u) ),
inference(resolution,[],[f4308,f23]) ).
fof(f4308,plain,
equalish(add(b,c),u),
inference(resolution,[],[f4287,f1804]) ).
fof(f1804,plain,
! [X0] :
( ~ equalish(X0,add(a,c))
| equalish(X0,u) ),
inference(resolution,[],[f23,f35]) ).
fof(f35,axiom,
equalish(add(a,c),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_equals_u_8) ).
fof(f4287,plain,
equalish(add(b,c),add(a,c)),
inference(resolution,[],[f4270,f22]) ).
fof(f4270,plain,
equalish(add(a,c),add(b,c)),
inference(resolution,[],[f4071,f30]) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f4071,plain,
! [X0] :
( ~ defined(X0)
| equalish(add(a,X0),add(b,X0)) ),
inference(resolution,[],[f24,f33]) ).
fof(f33,axiom,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_6) ).
fof(f20161,plain,
equalish(add(c,b),add(b,c)),
inference(resolution,[],[f2283,f30]) ).
fof(f2283,plain,
! [X0] :
( ~ defined(X0)
| equalish(add(X0,b),add(b,X0)) ),
inference(resolution,[],[f4,f29]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| equalish(add(X0,X1),add(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : FLD013-2 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.08/0.17 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.39 % Computer : n020.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Sat May 18 21:17:08 EDT 2024
% 0.16/0.39 % CPUTime :
% 0.16/0.39 % (18047)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.41 % (18050)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.41 % (18048)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.41 % (18051)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.41 % (18049)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.41 % (18053)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.41 % (18054)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.41 % (18052)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.41 TRYING [1]
% 0.16/0.41 TRYING [1]
% 0.16/0.41 TRYING [2]
% 0.16/0.41 TRYING [2]
% 0.16/0.41 TRYING [1]
% 0.16/0.41 TRYING [1]
% 0.16/0.41 TRYING [2]
% 0.16/0.41 TRYING [2]
% 0.16/0.41 TRYING [3]
% 0.16/0.42 TRYING [3]
% 0.16/0.42 TRYING [3]
% 0.16/0.42 TRYING [3]
% 0.25/0.43 TRYING [4]
% 0.25/0.43 TRYING [4]
% 0.25/0.43 TRYING [4]
% 0.25/0.43 TRYING [4]
% 0.25/0.47 TRYING [5]
% 0.25/0.47 TRYING [5]
% 0.25/0.48 TRYING [5]
% 0.25/0.49 TRYING [5]
% 1.56/0.61 TRYING [6]
% 1.56/0.62 TRYING [6]
% 1.56/0.62 TRYING [6]
% 1.90/0.69 TRYING [6]
% 6.06/1.28 TRYING [7]
% 6.06/1.28 TRYING [7]
% 6.06/1.29 TRYING [7]
% 8.18/1.55 % (18052)First to succeed.
% 8.18/1.55 % (18052)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18047"
% 8.18/1.56 % (18052)Refutation found. Thanks to Tanya!
% 8.18/1.56 % SZS status Unsatisfiable for theBenchmark
% 8.18/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 8.18/1.56 % (18052)------------------------------
% 8.18/1.56 % (18052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.18/1.56 % (18052)Termination reason: Refutation
% 8.18/1.56
% 8.18/1.56 % (18052)Memory used [KB]: 20989
% 8.18/1.56 % (18052)Time elapsed: 1.142 s
% 8.18/1.56 % (18052)Instructions burned: 1856 (million)
% 8.18/1.56 % (18047)Success in time 1.151 s
%------------------------------------------------------------------------------