TSTP Solution File: NUM002-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM002-1 : 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 : n026.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 3.42s 0.89s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31446,plain,
$false,
inference(resolution,[],[f30680,f13]) ).
fof(f13,axiom,
~ equalish(add(subtract(a,b),c),add(a,subtract(c,b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f30680,plain,
! [X2,X0,X1] : equalish(add(subtract(X0,X1),X2),add(X0,subtract(X2,X1))),
inference(resolution,[],[f28025,f33]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( ~ equalish(subtract(add(X0,X1),X2),X3)
| equalish(add(subtract(X0,X2),X1),X3) ),
inference(resolution,[],[f7,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f7,axiom,
! [X2,X0,X1] : equalish(add(subtract(X0,X1),X2),subtract(add(X0,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity1) ).
fof(f28025,plain,
! [X2,X0,X1] : equalish(subtract(add(X0,X1),X2),add(X0,subtract(X1,X2))),
inference(resolution,[],[f2162,f425]) ).
fof(f425,plain,
! [X2,X0,X1] : equalish(subtract(add(X0,X1),X2),add(X1,subtract(X0,X2))),
inference(resolution,[],[f36,f3]) ).
fof(f3,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(subtract(X0,X1),X2),X3)
| equalish(subtract(add(X0,X2),X1),X3) ),
inference(resolution,[],[f8,f2]) ).
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(f2162,plain,
! [X2,X3,X0,X1] :
( ~ equalish(subtract(add(X0,X1),X2),X3)
| equalish(subtract(add(X1,X0),X2),X3) ),
inference(resolution,[],[f1741,f2]) ).
fof(f1741,plain,
! [X2,X0,X1] : equalish(subtract(add(X0,X1),X2),subtract(add(X1,X0),X2)),
inference(resolution,[],[f238,f1]) ).
fof(f1,axiom,
! [X0] : equalish(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,subtract(add(X1,X2),X3))
| equalish(X0,subtract(add(X2,X1),X3)) ),
inference(resolution,[],[f11,f3]) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X2,subtract(X0,X3))
| equalish(X2,subtract(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_substitution1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.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 14:40:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (19462)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (19467)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (19466)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (19468)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (19463)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (19465)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)
% 0.14/0.37 % (19464)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (19469)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.50 TRYING [5]
% 0.20/0.50 TRYING [5]
% 0.20/0.51 TRYING [5]
% 1.19/0.52 TRYING [5]
% 3.42/0.89 % (19467)First to succeed.
% 3.42/0.89 % (19467)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19462"
% 3.42/0.89 % (19467)Refutation found. Thanks to Tanya!
% 3.42/0.89 % SZS status Unsatisfiable for theBenchmark
% 3.42/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 3.42/0.89 % (19467)------------------------------
% 3.42/0.89 % (19467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.42/0.89 % (19467)Termination reason: Refutation
% 3.42/0.89
% 3.42/0.89 % (19467)Memory used [KB]: 11635
% 3.42/0.89 % (19467)Time elapsed: 0.519 s
% 3.42/0.89 % (19467)Instructions burned: 1768 (million)
% 3.42/0.89 % (19462)Success in time 0.524 s
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