TSTP Solution File: GRP029-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP029-2 : 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 : n022.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 11:50:33 EDT 2024
% Result : Unsatisfiable 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 26 ~; 25 |; 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; 1 con; 0-2 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3784,plain,
$false,
inference(resolution,[],[f3699,f16]) ).
fof(f16,axiom,
! [X6] : ~ product(not_right_identity(X6),X6,not_right_identity(X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
fof(f3699,plain,
! [X0] : product(X0,identity,X0),
inference(resolution,[],[f2561,f277]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ product(multiply(X0,inverse(X1)),X1,X2)
| product(X0,identity,X2) ),
inference(resolution,[],[f60,f10]) ).
fof(f10,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,inverse(X1),X0)
| ~ product(X0,X1,X2)
| product(X3,identity,X2) ),
inference(resolution,[],[f12,f15]) ).
fof(f15,axiom,
! [X6] : product(inverse(X6),X6,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ product(X4,X2,X3)
| ~ product(X0,X1,X4)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f2561,plain,
! [X0,X1] : product(multiply(X0,inverse(X0)),X1,X1),
inference(resolution,[],[f2301,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ equalish(identity,X0)
| product(X0,X1,X1) ),
inference(resolution,[],[f6,f14]) ).
fof(f14,axiom,
! [X6] : product(identity,X6,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X2)
| ~ equalish(X0,X1)
| product(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution1) ).
fof(f2301,plain,
! [X0] : equalish(identity,multiply(X0,inverse(X0))),
inference(resolution,[],[f1976,f1862]) ).
fof(f1862,plain,
! [X0,X1] : product(inverse(X0),multiply(X0,X1),X1),
inference(resolution,[],[f321,f104]) ).
fof(f104,plain,
! [X0,X1] : product(multiply(inverse(X0),X0),X1,X1),
inference(resolution,[],[f102,f29]) ).
fof(f102,plain,
! [X0] : equalish(identity,multiply(inverse(X0),X0)),
inference(resolution,[],[f51,f10]) ).
fof(f51,plain,
! [X0,X1] :
( ~ product(inverse(X0),X0,X1)
| equalish(identity,X1) ),
inference(resolution,[],[f11,f15]) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( ~ product(multiply(X0,X1),X2,X3)
| product(X0,multiply(X1,X2),X3) ),
inference(resolution,[],[f61,f10]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X4,X0)
| ~ product(X0,X1,X2)
| product(X3,multiply(X4,X1),X2) ),
inference(resolution,[],[f12,f10]) ).
fof(f1976,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(identity,X0) ),
inference(resolution,[],[f1877,f147]) ).
fof(f147,plain,
! [X2,X0,X1] :
( equalish(X2,multiply(X0,X1))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f52,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
fof(f52,plain,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f11,f10]) ).
fof(f1877,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(X0,X1))
| equalish(identity,X1) ),
inference(resolution,[],[f1862,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ product(inverse(X0),X1,X2)
| ~ equalish(X0,X1)
| equalish(identity,X2) ),
inference(resolution,[],[f34,f11]) ).
fof(f34,plain,
! [X0,X1] :
( product(inverse(X0),X1,identity)
| ~ equalish(X0,X1) ),
inference(resolution,[],[f7,f15]) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,X2)
| ~ equalish(X0,X1)
| product(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n022.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 04:26:58 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (18941)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (18944)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (18945)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (18946)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)
% 0.15/0.38 % (18947)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (18948)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (18949)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (18950)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.41 TRYING [5]
% 0.15/0.41 TRYING [5]
% 0.15/0.41 TRYING [5]
% 0.15/0.41 TRYING [5]
% 0.22/0.45 TRYING [6]
% 0.22/0.46 TRYING [6]
% 0.22/0.46 TRYING [6]
% 0.22/0.46 TRYING [6]
% 0.22/0.50 % (18949)First to succeed.
% 0.22/0.51 % (18949)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (18949)------------------------------
% 0.22/0.51 % (18949)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.51 % (18949)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (18949)Memory used [KB]: 1643
% 0.22/0.51 % (18949)Time elapsed: 0.122 s
% 0.22/0.51 % (18949)Instructions burned: 288 (million)
% 0.22/0.51 % (18949)------------------------------
% 0.22/0.51 % (18949)------------------------------
% 0.22/0.51 % (18941)Success in time 0.138 s
%------------------------------------------------------------------------------