TSTP Solution File: FLD060-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD060-3 : 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 05:08:07 EDT 2024
% Result : Unsatisfiable 148.56s 21.56s
% Output : Refutation 148.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f493533,plain,
$false,
inference(subsumption_resolution,[],[f493532,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f493532,plain,
~ defined(b),
inference(subsumption_resolution,[],[f493531,f30]) ).
fof(f30,axiom,
~ less_or_equal(add(a,a),add(b,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_4) ).
fof(f493531,plain,
( less_or_equal(add(a,a),add(b,b))
| ~ defined(b) ),
inference(subsumption_resolution,[],[f493452,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f493452,plain,
( ~ defined(a)
| less_or_equal(add(a,a),add(b,b))
| ~ defined(b) ),
inference(resolution,[],[f9905,f1320]) ).
fof(f1320,plain,
! [X0] :
( less_or_equal(add(X0,a),add(b,X0))
| ~ defined(X0) ),
inference(subsumption_resolution,[],[f1317,f27]) ).
fof(f1317,plain,
! [X0] :
( less_or_equal(add(X0,a),add(b,X0))
| ~ defined(X0)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f1312]) ).
fof(f1312,plain,
! [X0] :
( less_or_equal(add(X0,a),add(b,X0))
| ~ defined(X0)
| ~ defined(a)
| ~ defined(X0) ),
inference(resolution,[],[f239,f39]) ).
fof(f39,plain,
! [X0,X1] :
( sum(X1,X0,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f19,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f19,axiom,
! [X3,X0] :
( sum(X0,X3,add(X0,X3))
| ~ defined(X0)
| ~ defined(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_addition) ).
fof(f239,plain,
! [X0,X1] :
( ~ sum(a,X1,X0)
| less_or_equal(X0,add(b,X1))
| ~ defined(X1) ),
inference(subsumption_resolution,[],[f234,f28]) ).
fof(f234,plain,
! [X0,X1] :
( less_or_equal(X0,add(b,X1))
| ~ sum(a,X1,X0)
| ~ defined(b)
| ~ defined(X1) ),
inference(resolution,[],[f96,f19]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ sum(b,X2,X1)
| less_or_equal(X0,X1)
| ~ sum(a,X2,X0) ),
inference(resolution,[],[f24,f29]) ).
fof(f29,axiom,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f24,axiom,
! [X3,X0,X1,X4,X5] :
( ~ less_or_equal(X0,X3)
| less_or_equal(X4,X1)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f9905,plain,
! [X0,X1] :
( ~ less_or_equal(add(b,X0),X1)
| ~ defined(X0)
| less_or_equal(add(a,X0),X1) ),
inference(resolution,[],[f1319,f22]) ).
fof(f22,axiom,
! [X3,X0,X5] :
( ~ less_or_equal(X0,X3)
| ~ less_or_equal(X3,X5)
| less_or_equal(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f1319,plain,
! [X0] :
( less_or_equal(add(a,X0),add(b,X0))
| ~ defined(X0) ),
inference(subsumption_resolution,[],[f1318,f27]) ).
fof(f1318,plain,
! [X0] :
( less_or_equal(add(a,X0),add(b,X0))
| ~ defined(X0)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f1311]) ).
fof(f1311,plain,
! [X0] :
( less_or_equal(add(a,X0),add(b,X0))
| ~ defined(X0)
| ~ defined(a)
| ~ defined(X0) ),
inference(resolution,[],[f239,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD060-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:45:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (4244)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (4246)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (4245)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (4247)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)
% 0.14/0.38 % (4248)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (4249)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (4250)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (4251)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.44 TRYING [5]
% 0.22/0.49 TRYING [6]
% 0.22/0.49 TRYING [6]
% 0.22/0.50 TRYING [6]
% 1.20/0.53 TRYING [6]
% 1.36/0.63 TRYING [7]
% 2.05/0.64 TRYING [7]
% 2.05/0.68 TRYING [7]
% 2.46/0.72 TRYING [7]
% 4.56/1.00 TRYING [8]
% 5.00/1.06 TRYING [8]
% 5.10/1.10 TRYING [8]
% 6.26/1.24 TRYING [8]
% 12.83/2.22 TRYING [9]
% 13.44/2.26 TRYING [9]
% 14.86/2.54 TRYING [9]
% 19.88/3.18 TRYING [9]
% 22.99/3.66 TRYING [10]
% 23.54/3.72 TRYING [10]
% 25.22/3.95 TRYING [10]
% 46.05/6.91 TRYING [11]
% 46.19/6.99 TRYING [11]
% 52.77/7.88 TRYING [10]
% 60.77/9.03 TRYING [11]
% 89.85/13.15 TRYING [11]
% 146.01/21.20 TRYING [12]
% 148.33/21.53 % (4250)First to succeed.
% 148.33/21.53 % (4250)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4244"
% 148.56/21.56 % (4250)Refutation found. Thanks to Tanya!
% 148.56/21.56 % SZS status Unsatisfiable for theBenchmark
% 148.56/21.56 % SZS output start Proof for theBenchmark
% See solution above
% 148.56/21.56 % (4250)------------------------------
% 148.56/21.56 % (4250)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 148.56/21.56 % (4250)Termination reason: Refutation
% 148.56/21.56
% 148.56/21.56 % (4250)Memory used [KB]: 154333
% 148.56/21.56 % (4250)Time elapsed: 21.142 s
% 148.56/21.56 % (4250)Instructions burned: 56638 (million)
% 148.56/21.56 % (4244)Success in time 20.991 s
%------------------------------------------------------------------------------