TSTP Solution File: FLD013-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD013-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 05:07:52 EDT 2024
% Result : Unsatisfiable 2.94s 0.79s
% Output : Refutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40585,plain,
$false,
inference(subsumption_resolution,[],[f40580,f34]) ).
fof(f34,axiom,
~ equalish(add(a,c),add(d,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_not_equal_to_add_7) ).
fof(f40580,plain,
equalish(add(a,c),add(d,b)),
inference(resolution,[],[f40579,f4960]) ).
fof(f4960,plain,
! [X0] :
( ~ equalish(X0,add(c,b))
| equalish(X0,add(d,b)) ),
inference(resolution,[],[f4947,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f4947,plain,
equalish(add(c,b),add(d,b)),
inference(resolution,[],[f4536,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f4536,plain,
! [X0] :
( ~ defined(X0)
| equalish(add(c,X0),add(d,X0)) ),
inference(resolution,[],[f24,f33]) ).
fof(f33,axiom,
equalish(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_equals_d_6) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ defined(X2)
| equalish(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f40579,plain,
equalish(add(a,c),add(c,b)),
inference(resolution,[],[f40570,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f40570,plain,
equalish(add(c,b),add(a,c)),
inference(resolution,[],[f13005,f4760]) ).
fof(f4760,plain,
! [X0] :
( ~ equalish(X0,add(b,c))
| equalish(X0,add(a,c)) ),
inference(resolution,[],[f4743,f23]) ).
fof(f4743,plain,
equalish(add(b,c),add(a,c)),
inference(resolution,[],[f4727,f22]) ).
fof(f4727,plain,
equalish(add(a,c),add(b,c)),
inference(resolution,[],[f4522,f30]) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f4522,plain,
! [X0] :
( ~ defined(X0)
| equalish(add(a,X0),add(b,X0)) ),
inference(resolution,[],[f24,f32]) ).
fof(f32,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_5) ).
fof(f13005,plain,
equalish(add(c,b),add(b,c)),
inference(resolution,[],[f2361,f30]) ).
fof(f2361,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/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : FLD013-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:44:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (3040)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (3046)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38 % (3044)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38 % (3047)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)
% 0.21/0.38 % (3045)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38 % (3042)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (3041)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 % (3043)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.44 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.45 TRYING [5]
% 0.21/0.45 TRYING [5]
% 0.21/0.52 TRYING [6]
% 0.21/0.52 TRYING [6]
% 1.26/0.54 TRYING [6]
% 1.41/0.56 TRYING [6]
% 2.94/0.79 % (3045)First to succeed.
% 2.94/0.79 % (3045)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3040"
% 2.94/0.79 % (3045)Refutation found. Thanks to Tanya!
% 2.94/0.79 % SZS status Unsatisfiable for theBenchmark
% 2.94/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.94/0.79 % (3045)------------------------------
% 2.94/0.79 % (3045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.94/0.79 % (3045)Termination reason: Refutation
% 2.94/0.79
% 2.94/0.79 % (3045)Memory used [KB]: 14292
% 2.94/0.79 % (3045)Time elapsed: 0.413 s
% 2.94/0.79 % (3045)Instructions burned: 1243 (million)
% 2.94/0.79 % (3040)Success in time 0.421 s
%------------------------------------------------------------------------------