TSTP Solution File: GRP004-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP004-2 : 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 : n028.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 : Tue Apr 30 11:50:25 EDT 2024
% Result : Unsatisfiable 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1233,plain,
$false,
inference(resolution,[],[f1211,f8]) ).
fof(f8,axiom,
~ product(a,inverse(a),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_inverse) ).
fof(f1211,plain,
! [X0] : product(X0,inverse(X0),identity),
inference(resolution,[],[f1196,f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| product(X0,X1,X2) ),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X2,X0)
| ~ equalish(X0,X1)
| product(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).
fof(f1196,plain,
! [X0] : equalish(multiply(X0,inverse(X0)),identity),
inference(resolution,[],[f1174,f9]) ).
fof(f9,plain,
! [X0,X1] :
( ~ product(identity,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f4,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| equalish(X2,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f1174,plain,
! [X0] : product(identity,identity,multiply(X0,inverse(X0))),
inference(resolution,[],[f1169,f244]) ).
fof(f244,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| product(identity,X1,X0) ),
inference(resolution,[],[f52,f1]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| product(identity,X3,X2) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f1169,plain,
! [X0] : product(identity,multiply(X0,inverse(X0)),identity),
inference(resolution,[],[f812,f601]) ).
fof(f601,plain,
! [X0,X1] : product(inverse(X0),multiply(X0,X1),X1),
inference(resolution,[],[f572,f3]) ).
fof(f572,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(inverse(X0),X2,X1) ),
inference(resolution,[],[f53,f1]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ product(identity,X0,X1)
| ~ product(X2,X0,X3)
| product(inverse(X2),X3,X1) ),
inference(resolution,[],[f5,f2]) ).
fof(f2,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f812,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| product(identity,X1,identity) ),
inference(resolution,[],[f143,f2]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( ~ product(inverse(X0),X1,X2)
| ~ product(X0,X3,X1)
| product(identity,X3,X2) ),
inference(resolution,[],[f6,f2]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X0,X5,X3)
| ~ product(X1,X2,X5)
| product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:41:14 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (27651)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (27654)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)
% 0.22/0.38 % (27656)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (27655)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (27653)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (27657)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (27652)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (27658)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)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [4]
% 0.22/0.39 TRYING [5]
% 0.22/0.39 TRYING [5]
% 0.22/0.39 TRYING [5]
% 0.22/0.39 TRYING [5]
% 0.22/0.41 % (27656)First to succeed.
% 0.22/0.41 % (27656)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (27656)------------------------------
% 0.22/0.41 % (27656)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.41 % (27656)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (27656)Memory used [KB]: 975
% 0.22/0.41 % (27656)Time elapsed: 0.030 s
% 0.22/0.41 % (27656)Instructions burned: 54 (million)
% 0.22/0.41 % (27656)------------------------------
% 0.22/0.41 % (27656)------------------------------
% 0.22/0.41 % (27651)Success in time 0.046 s
%------------------------------------------------------------------------------