TSTP Solution File: GRP003-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP003-2 : 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 : n032.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 05:52:16 EDT 2024
% Result : Unsatisfiable 0.14s 0.33s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 35 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f958,plain,
$false,
inference(resolution,[],[f927,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f927,plain,
! [X0] : ~ product(identity,X0,a),
inference(resolution,[],[f920,f2]) ).
fof(f2,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f920,plain,
! [X0,X1] :
( ~ product(X0,X1,identity)
| ~ product(identity,X1,a) ),
inference(resolution,[],[f905,f11]) ).
fof(f11,plain,
! [X2,X3,X1,X4,X5] :
( sP1(X4,X3,X5,X1)
| ~ product(X1,X2,X5)
| ~ product(X4,X2,X3) ),
inference(cnf_transformation,[],[f11_D]) ).
fof(f11_D,plain,
! [X1,X5,X3,X4] :
( ! [X2] :
( ~ product(X1,X2,X5)
| ~ product(X4,X2,X3) )
<=> ~ sP1(X4,X3,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f905,plain,
! [X0] : ~ sP1(identity,a,identity,X0),
inference(resolution,[],[f235,f2]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ sP1(X2,a,identity,X1) ),
inference(resolution,[],[f233,f12]) ).
fof(f12,plain,
! [X3,X0,X1,X4,X5] :
( product(X0,X5,X3)
| ~ product(X0,X1,X4)
| ~ sP1(X4,X3,X5,X1) ),
inference(general_splitting,[],[f5,f11_D]) ).
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/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f233,plain,
! [X0] : ~ product(X0,identity,a),
inference(duplicate_literal_removal,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ~ product(X0,identity,a)
| ~ product(X0,identity,a) ),
inference(resolution,[],[f122,f1]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,a)
| ~ product(X0,X2,a)
| ~ product(X2,identity,X1) ),
inference(resolution,[],[f24,f8]) ).
fof(f8,axiom,
~ product(a,identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_identity) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4,X5] :
( product(X2,X5,X4)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2)
| ~ product(X1,X5,X3) ),
inference(resolution,[],[f10,f9]) ).
fof(f9,plain,
! [X2,X3,X1,X4,X5] :
( sP0(X5,X4,X3,X1)
| product(X4,X2,X3)
| ~ product(X1,X2,X5) ),
inference(cnf_transformation,[],[f9_D]) ).
fof(f9_D,plain,
! [X1,X3,X4,X5] :
( ! [X2] :
( product(X4,X2,X3)
| ~ product(X1,X2,X5) )
<=> ~ sP0(X5,X4,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X0,X5,X3)
| ~ sP0(X5,X4,X3,X1) ),
inference(general_splitting,[],[f6,f9_D]) ).
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/sandbox2/benchmark/theBenchmark.p',associativity2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : GRP003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 20:51:38 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (14290)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (14297)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.09/0.30 % (14296)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.09/0.30 % (14299)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)
% 0.09/0.30 % (14293)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.09/0.30 TRYING [1]
% 0.09/0.30 TRYING [2]
% 0.09/0.30 TRYING [1]
% 0.09/0.30 TRYING [1]
% 0.09/0.30 TRYING [2]
% 0.09/0.30 TRYING [2]
% 0.09/0.31 TRYING [3]
% 0.09/0.31 TRYING [3]
% 0.09/0.31 TRYING [3]
% 0.09/0.31 TRYING [4]
% 0.09/0.31 TRYING [4]
% 0.09/0.31 TRYING [4]
% 0.09/0.31 % (14295)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)
% 0.09/0.31 % (14298)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.09/0.31 % (14294)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.09/0.31 TRYING [5]
% 0.09/0.31 TRYING [1]
% 0.09/0.31 TRYING [2]
% 0.09/0.31 TRYING [5]
% 0.09/0.31 TRYING [5]
% 0.09/0.31 TRYING [3]
% 0.14/0.32 TRYING [4]
% 0.14/0.32 TRYING [5]
% 0.14/0.32 TRYING [6]
% 0.14/0.33 TRYING [6]
% 0.14/0.33 % (14295)First to succeed.
% 0.14/0.33 % (14295)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14290"
% 0.14/0.33 TRYING [6]
% 0.14/0.33 % (14295)Refutation found. Thanks to Tanya!
% 0.14/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.33 % (14295)------------------------------
% 0.14/0.33 % (14295)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.33 % (14295)Termination reason: Refutation
% 0.14/0.33
% 0.14/0.33 % (14295)Memory used [KB]: 1149
% 0.14/0.33 % (14295)Time elapsed: 0.021 s
% 0.14/0.33 % (14295)Instructions burned: 42 (million)
% 0.14/0.33 % (14290)Success in time 0.036 s
%------------------------------------------------------------------------------