TSTP Solution File: GRP031-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP031-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n027.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 : Fri Sep 1 15:38:26 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 19 unt; 0 def)
% Number of atoms : 37 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 11 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 53 (; 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f926,plain,
$false,
inference(resolution,[],[f883,f730]) ).
fof(f730,plain,
! [X2] : product(X2,identity,X2),
inference(superposition,[],[f1,f706]) ).
fof(f706,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f623,f178]) ).
fof(f178,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(unit_resulting_resolution,[],[f113,f21]) ).
fof(f21,plain,
! [X6,X4,X5] :
( ~ product(X5,X6,X4)
| multiply(X5,X6) = X4 ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| X2 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.MCwidWCV6Q/Vampire---4.8_17489',total_function2) ).
fof(f113,plain,
! [X0] : product(inverse(inverse(X0)),identity,X0),
inference(forward_demodulation,[],[f98,f16]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = X0,
inference(unit_resulting_resolution,[],[f5,f1,f2]) ).
fof(f5,axiom,
! [X6] : product(identity,X6,X6),
file('/export/starexec/sandbox/tmp/tmp.MCwidWCV6Q/Vampire---4.8_17489',left_identity) ).
fof(f98,plain,
! [X0] : product(inverse(inverse(X0)),identity,multiply(identity,X0)),
inference(unit_resulting_resolution,[],[f6,f45,f9]) ).
fof(f9,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP0(X4,X3,X5,X1)
| product(X0,X5,X3)
| ~ product(X0,X1,X4) ),
inference(general_splitting,[],[f3,f8_D]) ).
fof(f8,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| sP0(X4,X3,X5,X1) ),
inference(cnf_transformation,[],[f8_D]) ).
fof(f8_D,plain,
! [X1,X5,X3,X4] :
( ! [X2] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X5) )
<=> ~ sP0(X4,X3,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3,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/tmp/tmp.MCwidWCV6Q/Vampire---4.8_17489',associativity1) ).
fof(f45,plain,
! [X0,X1] : sP0(X0,multiply(X0,X1),identity,inverse(X1)),
inference(unit_resulting_resolution,[],[f6,f1,f8]) ).
fof(f6,axiom,
! [X6] : product(inverse(X6),X6,identity),
file('/export/starexec/sandbox/tmp/tmp.MCwidWCV6Q/Vampire---4.8_17489',left_inverse) ).
fof(f623,plain,
! [X0] : multiply(multiply(inverse(inverse(X0)),identity),identity) = X0,
inference(unit_resulting_resolution,[],[f113,f96,f2]) ).
fof(f96,plain,
! [X0,X1] : product(X0,X1,multiply(multiply(X0,identity),X1)),
inference(unit_resulting_resolution,[],[f1,f44,f9]) ).
fof(f44,plain,
! [X0,X1] : sP0(X0,multiply(X0,X1),X1,identity),
inference(unit_resulting_resolution,[],[f5,f1,f8]) ).
fof(f1,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.MCwidWCV6Q/Vampire---4.8_17489',total_function1) ).
fof(f883,plain,
! [X24,X25] : ~ product(a,X25,X24),
inference(superposition,[],[f93,f725]) ).
fof(f725,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f706,f178]) ).
fof(f93,plain,
! [X0,X1] : ~ product(a,X0,inverse(X1)),
inference(unit_resulting_resolution,[],[f7,f43,f9]) ).
fof(f43,plain,
! [X0,X1] : sP0(inverse(X0),identity,multiply(X1,X0),X1),
inference(unit_resulting_resolution,[],[f1,f6,f8]) ).
fof(f7,axiom,
! [X6] : ~ product(a,X6,identity),
file('/export/starexec/sandbox/tmp/tmp.MCwidWCV6Q/Vampire---4.8_17489',prove_a_has_an_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP031-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n027.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 : Wed Aug 30 17:52:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.41 % (17619)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (17631)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 % (17623)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.42 TRYING [2]
% 0.21/0.42 % (17624)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.42 % (17628)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (17635)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.21/0.42 TRYING [3]
% 0.21/0.42 % (17636)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.21/0.42 % (17639)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 TRYING [3]
% 0.21/0.43 TRYING [5]
% 0.21/0.43 % (17639)First to succeed.
% 0.21/0.43 % (17639)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (17639)------------------------------
% 0.21/0.43 % (17639)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (17639)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (17639)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (17639)Memory used [KB]: 1151
% 0.21/0.43 % (17639)Time elapsed: 0.015 s
% 0.21/0.43 % (17639)------------------------------
% 0.21/0.43 % (17639)------------------------------
% 0.21/0.43 % (17619)Success in time 0.074 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------