TSTP Solution File: FLD067-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD067-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 14:28:15 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 23 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 27 (; 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f379,plain,
$false,
inference(resolution,[],[f375,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/tmp/tmp.8mJpjqmVG1/Vampire---4.8_19310',a_is_defined) ).
fof(f375,plain,
~ defined(a),
inference(resolution,[],[f374,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.8mJpjqmVG1/Vampire---4.8_19310',existence_of_inverse_addition) ).
fof(f374,plain,
~ sum(additive_inverse(a),a,additive_identity),
inference(resolution,[],[f369,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( sum(X3,X0,X5)
| ~ sum(X0,X3,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.8mJpjqmVG1/Vampire---4.8_19310',commutativity_addition) ).
fof(f369,plain,
~ sum(a,additive_inverse(a),additive_identity),
inference(resolution,[],[f359,f31]) ).
fof(f31,axiom,
sum(b,additive_inverse(a),u),
file('/export/starexec/sandbox2/tmp/tmp.8mJpjqmVG1/Vampire---4.8_19310',sum_5) ).
fof(f359,plain,
! [X16] :
( ~ sum(b,X16,u)
| ~ sum(a,X16,additive_identity) ),
inference(resolution,[],[f124,f30]) ).
fof(f30,axiom,
less_or_equal(a,b),
file('/export/starexec/sandbox2/tmp/tmp.8mJpjqmVG1/Vampire---4.8_19310',less_or_equal_4) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X1,u)
| ~ less_or_equal(X0,X2) ),
inference(resolution,[],[f114,f33]) ).
fof(f33,plain,
! [X3,X0,X1,X5] :
( sP0(X5,X0,X1)
| ~ sum(X3,X5,X1)
| ~ less_or_equal(X0,X3) ),
inference(cnf_transformation,[],[f33_D]) ).
fof(f33_D,plain,
! [X1,X0,X5] :
( ! [X3] :
( ~ sum(X3,X5,X1)
| ~ less_or_equal(X0,X3) )
<=> ~ sP0(X5,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f114,plain,
! [X0,X1] :
( ~ sP0(X1,X0,u)
| ~ sum(X0,X1,additive_identity) ),
inference(resolution,[],[f34,f32]) ).
fof(f32,axiom,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox2/tmp/tmp.8mJpjqmVG1/Vampire---4.8_19310',not_less_or_equal_6) ).
fof(f34,plain,
! [X0,X1,X4,X5] :
( less_or_equal(X4,X1)
| ~ sum(X0,X5,X4)
| ~ sP0(X5,X0,X1) ),
inference(general_splitting,[],[f24,f33_D]) ).
fof(f24,axiom,
! [X3,X0,X1,X4,X5] :
( ~ less_or_equal(X0,X3)
| less_or_equal(X4,X1)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X5,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.8mJpjqmVG1/Vampire---4.8_19310',compatibility_of_order_relation_and_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : FLD067-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n027.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 : Wed Aug 30 17:16:24 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.42 % (19448)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (19449)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.42 % (19450)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (19451)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 Vampire---4 for (476ds/0Mi)
% 0.21/0.42 % (19453)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.21/0.42 % (19452)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42 % (19455)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.21/0.42 % (19456)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 TRYING [3]
% 0.21/0.43 TRYING [3]
% 0.21/0.43 TRYING [3]
% 0.21/0.43 TRYING [3]
% 0.21/0.43 % (19451)First to succeed.
% 0.21/0.43 % (19451)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 % (19451)------------------------------
% 0.21/0.43 % (19451)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (19451)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (19451)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (19451)Memory used [KB]: 5628
% 0.21/0.43 % (19451)Time elapsed: 0.009 s
% 0.21/0.43 % (19451)------------------------------
% 0.21/0.43 % (19451)------------------------------
% 0.21/0.43 % (19448)Success in time 0.068 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------