TSTP Solution File: FLD060-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD060-1 : 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 : n025.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 05:08:07 EDT 2024
% Result : Unsatisfiable 3.20s 0.86s
% Output : Refutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 30 ( 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36127,plain,
$false,
inference(subsumption_resolution,[],[f36126,f31]) ).
fof(f31,axiom,
~ less_or_equal(add(a,a),add(b,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_4) ).
fof(f36126,plain,
less_or_equal(add(a,a),add(b,b)),
inference(resolution,[],[f36119,f4628]) ).
fof(f4628,plain,
less_or_equal(add(a,a),add(b,a)),
inference(resolution,[],[f4409,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f4409,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(add(a,X0),add(b,X0)) ),
inference(resolution,[],[f19,f30]) ).
fof(f30,axiom,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X1)
| ~ defined(X2)
| less_or_equal(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f36119,plain,
! [X0] :
( ~ less_or_equal(X0,add(b,a))
| less_or_equal(X0,add(b,b)) ),
inference(resolution,[],[f36112,f17]) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X1,X2)
| ~ less_or_equal(X0,X1)
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f36112,plain,
less_or_equal(add(b,a),add(b,b)),
inference(resolution,[],[f10039,f4643]) ).
fof(f4643,plain,
! [X0] :
( ~ equalish(add(a,b),X0)
| less_or_equal(X0,add(b,b)) ),
inference(resolution,[],[f4629,f26]) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X2)
| ~ equalish(X0,X1)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f4629,plain,
less_or_equal(add(a,b),add(b,b)),
inference(resolution,[],[f4409,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f10039,plain,
equalish(add(a,b),add(b,a)),
inference(resolution,[],[f2791,f28]) ).
fof(f2791,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
% 0.10/0.12 % Problem : FLD060-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 19:43:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (17833)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (17835)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (17837)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (17838)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (17839)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (17836)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)
% 0.13/0.37 % (17840)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (17834)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.13/0.39 TRYING [4]
% 0.13/0.40 TRYING [4]
% 0.19/0.41 TRYING [5]
% 0.19/0.41 TRYING [5]
% 0.19/0.43 TRYING [5]
% 0.19/0.43 TRYING [5]
% 0.19/0.50 TRYING [6]
% 0.19/0.51 TRYING [6]
% 0.19/0.51 TRYING [6]
% 0.19/0.55 TRYING [6]
% 3.20/0.86 TRYING [7]
% 3.20/0.86 % (17838)First to succeed.
% 3.20/0.86 % (17838)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17833"
% 3.20/0.86 % (17838)Refutation found. Thanks to Tanya!
% 3.20/0.86 % SZS status Unsatisfiable for theBenchmark
% 3.20/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 3.20/0.86 % (17838)------------------------------
% 3.20/0.86 % (17838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.20/0.86 % (17838)Termination reason: Refutation
% 3.20/0.86
% 3.20/0.86 % (17838)Memory used [KB]: 13995
% 3.20/0.86 % (17838)Time elapsed: 0.496 s
% 3.20/0.86 % (17838)Instructions burned: 1122 (million)
% 3.20/0.86 % (17833)Success in time 0.505 s
%------------------------------------------------------------------------------