TSTP Solution File: NUM004-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 08:17:12 EDT 2024
% Result : Unsatisfiable 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 14 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174,plain,
$false,
inference(resolution,[],[f172,f3]) ).
fof(f3,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f172,plain,
~ equalish(add(a,b),add(b,a)),
inference(resolution,[],[f59,f1]) ).
fof(f1,axiom,
! [X0] : equalish(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f59,plain,
! [X0] :
( ~ equalish(subtract(add(a,b),c),subtract(X0,c))
| ~ equalish(X0,add(b,a)) ),
inference(resolution,[],[f47,f11]) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,subtract(X1,X3))
| ~ equalish(X2,subtract(X0,X3))
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_substitution1) ).
fof(f47,plain,
~ equalish(subtract(add(a,b),c),subtract(add(b,a),c)),
inference(resolution,[],[f23,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity2) ).
fof(f23,plain,
! [X0] :
( ~ equalish(X0,add(subtract(b,c),a))
| ~ equalish(subtract(add(a,b),c),X0) ),
inference(resolution,[],[f17,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f17,plain,
~ equalish(subtract(add(a,b),c),add(subtract(b,c),a)),
inference(resolution,[],[f14,f3]) ).
fof(f14,plain,
! [X0] :
( ~ equalish(X0,add(a,subtract(b,c)))
| ~ equalish(subtract(add(a,b),c),X0) ),
inference(resolution,[],[f13,f2]) ).
fof(f13,axiom,
~ equalish(subtract(add(a,b),c),add(a,subtract(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUM004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 14:50:38 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (3725)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (3731)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33 % (3729)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33 % (3726)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 % (3727)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (3728)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)
% 0.16/0.33 % (3732)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)
% 0.16/0.33 % (3730)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 % (3728)First to succeed.
% 0.16/0.33 TRYING [3]
% 0.16/0.33 % (3728)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3725"
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 % (3728)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (3728)------------------------------
% 0.16/0.33 % (3728)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.33 % (3728)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (3728)Memory used [KB]: 860
% 0.16/0.33 % (3728)Time elapsed: 0.005 s
% 0.16/0.33 % (3728)Instructions burned: 7 (million)
% 0.16/0.33 % (3725)Success in time 0.02 s
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