%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV609+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:58:25 PM UTC 2026
% Result : Theorem 3.29s 2.00s
% Output : Refutation 7.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 108 ( 20 unt; 3 def)
% Number of atoms : 478 ( 24 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 656 ( 286 ~; 276 |; 37 &)
% ( 3 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn 129 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1859,axiom,
! [X0] :
( cLambda_2eRedexes_2eredexes___24t(X0)
=> ! [X1] :
( cLambda_2eRedexes_2eredexes___24t(X1)
=> ! [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
=> ( cLambda_2eRedexes_2esub___24a2(X1,X0)
=> ! [X3] :
( cLambda_2eRedexes_2eredexes___24t(X3)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
=> ! [X4] :
( cLambda_2eRedexes_2eredexes___24t(X4)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X2,X1,X4)
=> ! [X5] :
( cLambda_2eRedexes_2eredexes___24t(X5)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X2,X0,X5)
=> cLambda_2eResiduals_2eresiduals___24a3(X4,X3,X5) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Cube.prism1') ).
fof(f1873,axiom,
! [X0] :
( cLambda_2eRedexes_2eredexes___24t(X0)
=> ! [X1] :
( cLambda_2eRedexes_2eredexes___24t(X1)
=> ( cLambda_2eRedexes_2ecomp___24a2(X0,X1)
=> cLambda_2eRedexes_2ecomp___24a2(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Lambda.Redexes.comp_sym') ).
fof(f1874,axiom,
! [X0] :
( cLambda_2eRedexes_2eredexes___24t(X0)
=> ! [X1] :
( cLambda_2eRedexes_2eredexes___24t(X1)
=> ( cLambda_2eRedexes_2ecomp___24a2(X0,X1)
=> ! [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
=> ( cLambda_2eRedexes_2ecomp___24a2(X1,X2)
=> cLambda_2eRedexes_2ecomp___24a2(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Lambda.Redexes.comp_trans') ).
fof(f1892,axiom,
! [X0] :
( cLambda_2eRedexes_2eredexes___24t(X0)
=> ! [X1] :
( cLambda_2eRedexes_2eredexes___24t(X1)
=> ! [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X2)
=> cLambda_2eRedexes_2ecomp___24a2(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Lambda.Residuals.residuals_comp') ).
fof(f1893,axiom,
! [X0] :
( cLambda_2eRedexes_2eredexes___24t(X0)
=> ! [X1] :
( cLambda_2eRedexes_2eredexes___24t(X1)
=> ! [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X2)
=> ! [X3] :
( cLambda_2eRedexes_2eredexes___24t(X3)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
=> X3 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Lambda.Residuals.residuals_function') ).
fof(f1895,axiom,
! [X0] :
( cLambda_2eRedexes_2eredexes___24t(X0)
=> ! [X1] :
( cLambda_2eRedexes_2eredexes___24t(X1)
=> ( cLambda_2eRedexes_2ecomp___24a2(X0,X1)
=> ( cLambda_2eRedexes_2eregular___24a1(X1)
=> ? [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
& cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Lambda.Residuals.residuals_intro') ).
fof(f2901,conjecture,
! [X0] :
( cLambda_2eRedexes_2eredexes___24t(X0)
=> ! [X1] :
( cLambda_2eRedexes_2eredexes___24t(X1)
=> ! [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
=> ( cLambda_2eRedexes_2esub___24a2(X1,X0)
=> ( cLambda_2eRedexes_2eregular___24a1(X0)
=> ! [X3] :
( cLambda_2eRedexes_2eredexes___24t(X3)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
=> ! [X4] :
( cLambda_2eRedexes_2eredexes___24t(X4)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X2,X1,X4)
=> ! [X5] :
( cLambda_2eRedexes_2eredexes___24t(X5)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X4,X3,X5)
=> cLambda_2eResiduals_2eresiduals___24a3(X2,X0,X5) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2902,negated_conjecture,
~ ! [X0] :
( cLambda_2eRedexes_2eredexes___24t(X0)
=> ! [X1] :
( cLambda_2eRedexes_2eredexes___24t(X1)
=> ! [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
=> ( cLambda_2eRedexes_2esub___24a2(X1,X0)
=> ( cLambda_2eRedexes_2eregular___24a1(X0)
=> ! [X3] :
( cLambda_2eRedexes_2eredexes___24t(X3)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
=> ! [X4] :
( cLambda_2eRedexes_2eredexes___24t(X4)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X2,X1,X4)
=> ! [X5] :
( cLambda_2eRedexes_2eredexes___24t(X5)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X4,X3,X5)
=> cLambda_2eResiduals_2eresiduals___24a3(X2,X0,X5) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2901]) ).
fof(f2907,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X0,X5)
& cLambda_2eResiduals_2eresiduals___24a3(X4,X3,X5)
& cLambda_2eRedexes_2eredexes___24t(X5) )
& cLambda_2eResiduals_2eresiduals___24a3(X2,X1,X4)
& cLambda_2eRedexes_2eredexes___24t(X4) )
& cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
& cLambda_2eRedexes_2eredexes___24t(X3) )
& cLambda_2eRedexes_2eregular___24a1(X0)
& cLambda_2eRedexes_2esub___24a2(X1,X0)
& cLambda_2eRedexes_2eredexes___24t(X2) )
& cLambda_2eRedexes_2eredexes___24t(X1) )
& cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(ennf_transformation,[],[f2902]) ).
fof(f2908,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X0,X5)
& cLambda_2eResiduals_2eresiduals___24a3(X4,X3,X5)
& cLambda_2eRedexes_2eredexes___24t(X5) )
& cLambda_2eResiduals_2eresiduals___24a3(X2,X1,X4)
& cLambda_2eRedexes_2eredexes___24t(X4) )
& cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
& cLambda_2eRedexes_2eredexes___24t(X3) )
& cLambda_2eRedexes_2eregular___24a1(X0)
& cLambda_2eRedexes_2esub___24a2(X1,X0)
& cLambda_2eRedexes_2eredexes___24t(X2) )
& cLambda_2eRedexes_2eredexes___24t(X1) )
& cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(flattening,[],[f2907]) ).
fof(f2909,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( X3 = X2
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X3) )
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) )
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(ennf_transformation,[],[f1893]) ).
fof(f2910,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( X3 = X2
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X3) )
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) )
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(flattening,[],[f2909]) ).
fof(f2927,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
& cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X2) )
| ~ cLambda_2eRedexes_2eregular___24a1(X1)
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(ennf_transformation,[],[f1895]) ).
fof(f2928,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
& cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X2) )
| ~ cLambda_2eRedexes_2eregular___24a1(X1)
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(flattening,[],[f2927]) ).
fof(f2946,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( cLambda_2eResiduals_2eresiduals___24a3(X4,X3,X5)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X0,X5)
| ~ cLambda_2eRedexes_2eredexes___24t(X5) )
| ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X1,X4)
| ~ cLambda_2eRedexes_2eredexes___24t(X4) )
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X3) )
| ~ cLambda_2eRedexes_2esub___24a2(X1,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) )
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(ennf_transformation,[],[f1859]) ).
fof(f2947,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( cLambda_2eResiduals_2eresiduals___24a3(X4,X3,X5)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X0,X5)
| ~ cLambda_2eRedexes_2eredexes___24t(X5) )
| ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X1,X4)
| ~ cLambda_2eRedexes_2eredexes___24t(X4) )
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X3) )
| ~ cLambda_2eRedexes_2esub___24a2(X1,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) )
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(flattening,[],[f2946]) ).
fof(f2958,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) )
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(ennf_transformation,[],[f1892]) ).
fof(f2959,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) )
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(flattening,[],[f2958]) ).
fof(f3034,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( cLambda_2eRedexes_2ecomp___24a2(X0,X2)
| ~ cLambda_2eRedexes_2ecomp___24a2(X1,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) )
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(ennf_transformation,[],[f1874]) ).
fof(f3035,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( cLambda_2eRedexes_2ecomp___24a2(X0,X2)
| ~ cLambda_2eRedexes_2ecomp___24a2(X1,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) )
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(flattening,[],[f3034]) ).
fof(f3036,plain,
! [X0] :
( ! [X1] :
( cLambda_2eRedexes_2ecomp___24a2(X1,X0)
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(ennf_transformation,[],[f1873]) ).
fof(f3037,plain,
! [X0] :
( ! [X1] :
( cLambda_2eRedexes_2ecomp___24a2(X1,X0)
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(flattening,[],[f3036]) ).
fof(f3101,plain,
( ~ cLambda_2eResiduals_2eresiduals___24a3(sK36,sK34,sK39)
& cLambda_2eResiduals_2eresiduals___24a3(sK38,sK37,sK39)
& cLambda_2eRedexes_2eredexes___24t(sK39)
& cLambda_2eResiduals_2eresiduals___24a3(sK36,sK35,sK38)
& cLambda_2eRedexes_2eredexes___24t(sK38)
& cLambda_2eResiduals_2eresiduals___24a3(sK34,sK35,sK37)
& cLambda_2eRedexes_2eredexes___24t(sK37)
& cLambda_2eRedexes_2eregular___24a1(sK34)
& cLambda_2eRedexes_2esub___24a2(sK35,sK34)
& cLambda_2eRedexes_2eredexes___24t(sK36)
& cLambda_2eRedexes_2eredexes___24t(sK35)
& cLambda_2eRedexes_2eredexes___24t(sK34) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37,sK38,sK39]),skolemize(X0,sK34),skolemize(X1,sK35),skolemize(X2,sK36),skolemize(X3,sK37),skolemize(X4,sK38),skolemize(X5,sK39)],[f2908]) ).
fof(f3106,plain,
! [X0] :
( ! [X1] :
( ( cLambda_2eRedexes_2eredexes___24t(sK45(X0,X1))
& cLambda_2eResiduals_2eresiduals___24a3(X0,X1,sK45(X0,X1)) )
| ~ cLambda_2eRedexes_2eregular___24a1(X1)
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(X2,sK45(X0,X1))],[f2928]) ).
fof(f3234,plain,
cLambda_2eRedexes_2eredexes___24t(sK34),
inference(cnf_transformation,[],[f3101]) ).
fof(f3235,plain,
cLambda_2eRedexes_2eredexes___24t(sK35),
inference(cnf_transformation,[],[f3101]) ).
fof(f3236,plain,
cLambda_2eRedexes_2eredexes___24t(sK36),
inference(cnf_transformation,[],[f3101]) ).
fof(f3237,plain,
cLambda_2eRedexes_2esub___24a2(sK35,sK34),
inference(cnf_transformation,[],[f3101]) ).
fof(f3238,plain,
cLambda_2eRedexes_2eregular___24a1(sK34),
inference(cnf_transformation,[],[f3101]) ).
fof(f3239,plain,
cLambda_2eRedexes_2eredexes___24t(sK37),
inference(cnf_transformation,[],[f3101]) ).
fof(f3240,plain,
cLambda_2eResiduals_2eresiduals___24a3(sK34,sK35,sK37),
inference(cnf_transformation,[],[f3101]) ).
fof(f3241,plain,
cLambda_2eRedexes_2eredexes___24t(sK38),
inference(cnf_transformation,[],[f3101]) ).
fof(f3242,plain,
cLambda_2eResiduals_2eresiduals___24a3(sK36,sK35,sK38),
inference(cnf_transformation,[],[f3101]) ).
fof(f3243,plain,
cLambda_2eRedexes_2eredexes___24t(sK39),
inference(cnf_transformation,[],[f3101]) ).
fof(f3244,plain,
cLambda_2eResiduals_2eresiduals___24a3(sK38,sK37,sK39),
inference(cnf_transformation,[],[f3101]) ).
fof(f3245,plain,
~ cLambda_2eResiduals_2eresiduals___24a3(sK36,sK34,sK39),
inference(cnf_transformation,[],[f3101]) ).
fof(f3246,plain,
! [X2,X3,X0,X1] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
| X2 = X3
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(cnf_transformation,[],[f2910]) ).
fof(f3262,plain,
! [X0,X1] :
( cLambda_2eResiduals_2eresiduals___24a3(X0,X1,sK45(X0,X1))
| ~ cLambda_2eRedexes_2eregular___24a1(X1)
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(cnf_transformation,[],[f3106]) ).
fof(f3263,plain,
! [X0,X1] :
( cLambda_2eRedexes_2eredexes___24t(sK45(X0,X1))
| ~ cLambda_2eRedexes_2eregular___24a1(X1)
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(cnf_transformation,[],[f3106]) ).
fof(f3332,plain,
! [X2,X3,X0,X1,X4,X5] :
( cLambda_2eResiduals_2eresiduals___24a3(X4,X3,X5)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X0,X5)
| ~ cLambda_2eRedexes_2eredexes___24t(X5)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X1,X4)
| ~ cLambda_2eRedexes_2eredexes___24t(X4)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cLambda_2eRedexes_2esub___24a2(X1,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(cnf_transformation,[],[f2947]) ).
fof(f3365,plain,
! [X2,X0,X1] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(X0,X1,X2)
| cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(cnf_transformation,[],[f2959]) ).
fof(f3497,plain,
! [X2,X0,X1] :
( cLambda_2eRedexes_2ecomp___24a2(X0,X2)
| ~ cLambda_2eRedexes_2ecomp___24a2(X1,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(cnf_transformation,[],[f3035]) ).
fof(f3498,plain,
! [X0,X1] :
( cLambda_2eRedexes_2ecomp___24a2(X1,X0)
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(cnf_transformation,[],[f3037]) ).
fof(f3584,plain,
( cLambda_2eRedexes_2ecomp___24a2(sK34,sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK37)
| ~ cLambda_2eRedexes_2eredexes___24t(sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34) ),
inference(resolution,[],[f3240,f3365]) ).
fof(f3593,plain,
( cLambda_2eRedexes_2ecomp___24a2(sK34,sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34) ),
inference(forward_subsumption_resolution,[],[f3584,f3239]) ).
fof(f3599,plain,
( cLambda_2eRedexes_2ecomp___24a2(sK34,sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34) ),
inference(forward_subsumption_resolution,[],[f3593,f3235]) ).
fof(f3605,plain,
cLambda_2eRedexes_2ecomp___24a2(sK34,sK35),
inference(forward_subsumption_resolution,[],[f3599,f3234]) ).
fof(f3609,plain,
( cLambda_2eRedexes_2ecomp___24a2(sK36,sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK38)
| ~ cLambda_2eRedexes_2eredexes___24t(sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36) ),
inference(resolution,[],[f3242,f3365]) ).
fof(f3617,plain,
( cLambda_2eRedexes_2ecomp___24a2(sK36,sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36) ),
inference(forward_subsumption_resolution,[],[f3609,f3241]) ).
fof(f3622,plain,
( cLambda_2eRedexes_2ecomp___24a2(sK36,sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36) ),
inference(forward_subsumption_resolution,[],[f3617,f3235]) ).
fof(f3627,plain,
cLambda_2eRedexes_2ecomp___24a2(sK36,sK35),
inference(forward_subsumption_resolution,[],[f3622,f3236]) ).
fof(f3643,plain,
! [X0] :
( sK39 = X0
| ~ cLambda_2eRedexes_2eredexes___24t(sK39)
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK38,sK37,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eRedexes_2eredexes___24t(sK37)
| ~ cLambda_2eRedexes_2eredexes___24t(sK38) ),
inference(resolution,[],[f3244,f3246]) ).
fof(f3644,plain,
! [X0] :
( sK39 = X0
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK38,sK37,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eRedexes_2eredexes___24t(sK37)
| ~ cLambda_2eRedexes_2eredexes___24t(sK38) ),
inference(forward_subsumption_resolution,[],[f3643,f3243]) ).
fof(f3648,plain,
! [X0] :
( sK39 = X0
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK38,sK37,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eRedexes_2eredexes___24t(sK38) ),
inference(forward_subsumption_resolution,[],[f3644,f3239]) ).
fof(f3652,plain,
! [X0] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(sK38,sK37,X0)
| sK39 = X0
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(forward_subsumption_resolution,[],[f3648,f3241]) ).
fof(f3745,plain,
! [X2,X3,X0,X1] :
( sK39 = X0
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X2,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X3,sK38)
| ~ cLambda_2eRedexes_2eredexes___24t(sK38)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X3,sK37)
| ~ cLambda_2eRedexes_2eredexes___24t(sK37)
| ~ cLambda_2eRedexes_2esub___24a2(X3,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) ),
inference(resolution,[],[f3652,f3332]) ).
fof(f3746,plain,
! [X2,X3,X0,X1] :
( sK39 = X0
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X2,X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X3,sK38)
| ~ cLambda_2eRedexes_2eredexes___24t(sK38)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X3,sK37)
| ~ cLambda_2eRedexes_2eredexes___24t(sK37)
| ~ cLambda_2eRedexes_2esub___24a2(X3,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) ),
inference(duplicate_literal_removal,[],[f3745]) ).
fof(f3750,plain,
! [X2,X3,X0,X1] :
( sK39 = X0
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X2,X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X3,sK38)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X3,sK37)
| ~ cLambda_2eRedexes_2eredexes___24t(sK37)
| ~ cLambda_2eRedexes_2esub___24a2(X3,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) ),
inference(forward_subsumption_resolution,[],[f3746,f3241]) ).
fof(f3755,plain,
! [X2,X3,X0,X1] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(X2,X3,sK37)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X2,X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X3,sK38)
| sK39 = X0
| ~ cLambda_2eRedexes_2esub___24a2(X3,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X2) ),
inference(forward_subsumption_resolution,[],[f3750,f3239]) ).
fof(f4228,plain,
! [X0,X1] :
( ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,sK34,X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,sK35,sK38)
| sK39 = X0
| ~ cLambda_2eRedexes_2esub___24a2(sK35,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34) ),
inference(resolution,[],[f3755,f3240]) ).
fof(f4233,plain,
! [X0,X1] :
( ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,sK34,X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,sK35,sK38)
| sK39 = X0
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34) ),
inference(forward_subsumption_resolution,[],[f4228,f3237]) ).
fof(f4238,plain,
! [X0,X1] :
( ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,sK34,X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,sK35,sK38)
| sK39 = X0
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34) ),
inference(forward_subsumption_resolution,[],[f4233,f3235]) ).
fof(f4241,plain,
! [X0,X1] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(X1,sK35,sK38)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,sK34,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| sK39 = X0
| ~ cLambda_2eRedexes_2eredexes___24t(X1) ),
inference(forward_subsumption_resolution,[],[f4238,f3234]) ).
fof(f4298,plain,
! [X0] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(sK36,sK34,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| sK39 = X0
| ~ cLambda_2eRedexes_2eredexes___24t(sK36) ),
inference(resolution,[],[f4241,f3242]) ).
fof(f4303,plain,
! [X0] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(sK36,sK34,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| sK39 = X0 ),
inference(forward_subsumption_resolution,[],[f4298,f3236]) ).
fof(f4322,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK45(sK36,sK34))
| sK39 = sK45(sK36,sK34)
| ~ cLambda_2eRedexes_2eregular___24a1(sK34)
| ~ cLambda_2eRedexes_2ecomp___24a2(sK36,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36) ),
inference(resolution,[],[f4303,f3262]) ).
fof(f4335,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK45(sK36,sK34))
| sK39 = sK45(sK36,sK34)
| ~ cLambda_2eRedexes_2ecomp___24a2(sK36,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36) ),
inference(forward_subsumption_resolution,[],[f4322,f3238]) ).
fof(f4340,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK45(sK36,sK34))
| sK39 = sK45(sK36,sK34)
| ~ cLambda_2eRedexes_2ecomp___24a2(sK36,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36) ),
inference(forward_subsumption_resolution,[],[f4335,f3234]) ).
fof(f4341,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK45(sK36,sK34))
| sK39 = sK45(sK36,sK34)
| ~ cLambda_2eRedexes_2ecomp___24a2(sK36,sK34) ),
inference(forward_subsumption_resolution,[],[f4340,f3236]) ).
fof(f4343,definition,
( spl134_22
<=> cLambda_2eRedexes_2ecomp___24a2(sK36,sK34) ),
introduced(definition,[new_symbols(definition,[spl134_22])],[avatar_definition]) ).
fof(f4344,plain,
( cLambda_2eRedexes_2ecomp___24a2(sK36,sK34)
| ~ spl134_22 ),
inference(avatar_component_clause,[],[f4343]) ).
fof(f4345,plain,
( ~ cLambda_2eRedexes_2ecomp___24a2(sK36,sK34)
| spl134_22 ),
inference(avatar_component_clause,[],[f4343]) ).
fof(f4347,definition,
( spl134_23
<=> sK39 = sK45(sK36,sK34) ),
introduced(definition,[new_symbols(definition,[spl134_23])],[avatar_definition]) ).
fof(f4349,plain,
( sK39 = sK45(sK36,sK34)
| ~ spl134_23 ),
inference(avatar_component_clause,[],[f4347]) ).
fof(f4351,definition,
( spl134_24
<=> cLambda_2eRedexes_2eredexes___24t(sK45(sK36,sK34)) ),
introduced(definition,[new_symbols(definition,[spl134_24])],[avatar_definition]) ).
fof(f4353,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK45(sK36,sK34))
| spl134_24 ),
inference(avatar_component_clause,[],[f4351]) ).
fof(f4354,plain,
( ~ spl134_22
| spl134_23
| ~ spl134_24 ),
inference(avatar_split_clause,[],[f4341,f4351,f4347,f4343]) ).
fof(f4370,plain,
( ! [X0] :
( ~ cLambda_2eRedexes_2ecomp___24a2(X0,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| ~ cLambda_2eRedexes_2ecomp___24a2(sK36,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36) )
| spl134_22 ),
inference(resolution,[],[f4345,f3497]) ).
fof(f4371,plain,
( ! [X0] :
( ~ cLambda_2eRedexes_2ecomp___24a2(X0,sK34)
| ~ cLambda_2eRedexes_2ecomp___24a2(sK36,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36) )
| spl134_22 ),
inference(forward_subsumption_resolution,[],[f4370,f3234]) ).
fof(f4373,plain,
( ! [X0] :
( ~ cLambda_2eRedexes_2ecomp___24a2(sK36,X0)
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) )
| spl134_22 ),
inference(forward_subsumption_resolution,[],[f4371,f3236]) ).
fof(f4411,plain,
( ~ cLambda_2eRedexes_2eregular___24a1(sK34)
| ~ cLambda_2eRedexes_2ecomp___24a2(sK36,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36)
| spl134_24 ),
inference(resolution,[],[f4353,f3263]) ).
fof(f4432,plain,
( ~ cLambda_2eRedexes_2ecomp___24a2(sK35,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK35)
| spl134_22 ),
inference(resolution,[],[f4373,f3627]) ).
fof(f4441,plain,
( ~ cLambda_2eRedexes_2ecomp___24a2(sK35,sK34)
| spl134_22 ),
inference(forward_subsumption_resolution,[],[f4432,f3235]) ).
fof(f4453,plain,
( ~ cLambda_2eRedexes_2ecomp___24a2(sK34,sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| spl134_22 ),
inference(resolution,[],[f4441,f3498]) ).
fof(f4456,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK35)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| spl134_22 ),
inference(forward_subsumption_resolution,[],[f4453,f3605]) ).
fof(f4458,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| spl134_22 ),
inference(forward_subsumption_resolution,[],[f4456,f3235]) ).
fof(f4459,plain,
( $false
| spl134_22 ),
inference(forward_subsumption_resolution,[],[f4458,f3234]) ).
fof(f4460,plain,
spl134_22,
inference(avatar_contradiction_clause,[],[f4459]) ).
fof(f4461,plain,
( ~ cLambda_2eRedexes_2ecomp___24a2(sK36,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36)
| spl134_24 ),
inference(forward_subsumption_resolution,[],[f4411,f3238]) ).
fof(f4462,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36)
| ~ spl134_22
| spl134_24 ),
inference(forward_subsumption_resolution,[],[f4461,f4344]) ).
fof(f4463,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK36)
| ~ spl134_22
| spl134_24 ),
inference(forward_subsumption_resolution,[],[f4462,f3234]) ).
fof(f4464,plain,
( $false
| ~ spl134_22
| spl134_24 ),
inference(forward_subsumption_resolution,[],[f4463,f3236]) ).
fof(f4465,plain,
( ~ spl134_22
| spl134_24 ),
inference(avatar_contradiction_clause,[],[f4464]) ).
fof(f4788,plain,
( cLambda_2eResiduals_2eresiduals___24a3(sK36,sK34,sK39)
| ~ cLambda_2eRedexes_2eregular___24a1(sK34)
| ~ cLambda_2eRedexes_2ecomp___24a2(sK36,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36)
| ~ spl134_23 ),
inference(superposition,[],[f3262,f4349]) ).
fof(f4790,plain,
( ~ cLambda_2eRedexes_2eregular___24a1(sK34)
| ~ cLambda_2eRedexes_2ecomp___24a2(sK36,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36)
| ~ spl134_23 ),
inference(forward_subsumption_resolution,[],[f4788,f3245]) ).
fof(f4791,plain,
( ~ cLambda_2eRedexes_2ecomp___24a2(sK36,sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36)
| ~ spl134_23 ),
inference(forward_subsumption_resolution,[],[f4790,f3238]) ).
fof(f4792,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK34)
| ~ cLambda_2eRedexes_2eredexes___24t(sK36)
| ~ spl134_22
| ~ spl134_23 ),
inference(forward_subsumption_resolution,[],[f4791,f4344]) ).
fof(f4793,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK36)
| ~ spl134_22
| ~ spl134_23 ),
inference(forward_subsumption_resolution,[],[f4792,f3234]) ).
fof(f4794,plain,
( $false
| ~ spl134_22
| ~ spl134_23 ),
inference(forward_subsumption_resolution,[],[f4793,f3236]) ).
fof(f4795,plain,
( ~ spl134_22
| ~ spl134_23 ),
inference(avatar_contradiction_clause,[],[f4794]) ).
cnf(s14,plain,
( ~ spl134_22
| spl134_23
| ~ spl134_24 ),
inference(sat_conversion,[],[f4354]) ).
cnf(s15,plain,
spl134_22,
inference(sat_conversion,[],[f4460]) ).
cnf(s16,plain,
( ~ spl134_22
| spl134_24 ),
inference(sat_conversion,[],[f4465]) ).
cnf(s20,plain,
( ~ spl134_22
| ~ spl134_23 ),
inference(sat_conversion,[],[f4795]) ).
cnf(s21,plain,
~ spl134_23,
inference(rat,[],[s20,s15]) ).
cnf(s22,plain,
spl134_24,
inference(rat,[],[s16,s15]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s14,s22,s21,s15]) ).
fof(f4796,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV609+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 06:40:51 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.29/2.00 % (981576)Detected formulas, will run a generic FOF schedule.
% 3.29/2.00 % (981585)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3959312268:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.29/2.00 % (981585)Instruction limit reached!
% 3.29/2.00 % (981585)------------------------------
% 3.29/2.00 % (981585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/2.00 % (981585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/2.00 % (981585)CaDiCaL version: 2.1.3
% 3.29/2.00 % (981585)Termination reason: Instruction limit
% 3.29/2.00 % (981585)Termination phase: Saturation
% 3.29/2.00 % (981585)Time elapsed: 0.040 s
% 3.29/2.00 % (981585)Peak memory usage: 93 MB
% 3.29/2.00 % (981585)Instructions burned: 119 (million)
% 3.29/2.00 % (981582)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=883109440:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.29/2.00 % (981584)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1021840581:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.29/2.00 % (981583)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1303442536:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.29/2.00 % (981581)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=833656845:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.29/2.00 % (981587)dis-21_1_sil=8000:lcm=predicate:random_seed=4041484972:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 3.29/2.00 % (981586)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1902350946:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.29/2.00 % (981584)Refutation not found, incomplete strategy
% 3.29/2.00 % (981584)------------------------------
% 3.29/2.00 % (981584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/2.00 % (981584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/2.00 % (981584)CaDiCaL version: 2.1.3
% 3.29/2.00 % (981584)Termination reason: Refutation not found, incomplete strategy
% 3.29/2.00 % (981584)Time elapsed: 0.021 s
% 3.29/2.00 % (981584)Peak memory usage: 93 MB
% 3.29/2.00 % (981584)Instructions burned: 38 (million)
% 3.29/2.00 % (981586)Instruction limit reached!
% 3.29/2.00 % (981586)------------------------------
% 3.29/2.00 % (981586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/2.00 % (981586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/2.00 % (981586)CaDiCaL version: 2.1.3
% 3.29/2.00 % (981586)Termination reason: Instruction limit
% 3.29/2.00 % (981586)Termination phase: Preprocessing 3
% 3.29/2.00 % (981586)Time elapsed: 0.073 s
% 3.29/2.00 % (981586)Peak memory usage: 92 MB
% 3.29/2.00 % (981586)Instructions burned: 139 (million)
% 3.29/2.00 % (981587)Instruction limit reached!
% 3.29/2.00 % (981587)------------------------------
% 3.29/2.00 % (981587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/2.00 % (981587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/2.00 % (981587)CaDiCaL version: 2.1.3
% 3.29/2.00 % (981587)Termination reason: Instruction limit
% 3.29/2.00 % (981587)Termination phase: Preprocessing 3
% 3.29/2.00 % (981587)Time elapsed: 0.076 s
% 3.29/2.00 % (981587)Peak memory usage: 94 MB
% 3.29/2.00 % (981587)Instructions burned: 131 (million)
% 3.29/2.00 % (981589)lrs+10_1_sil=8000:sp=occurrence:random_seed=2323510372:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.29/2.00 % (981589)Instruction limit reached!
% 3.29/2.00 % (981589)------------------------------
% 3.29/2.00 % (981589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/2.00 % (981589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/2.00 % (981589)CaDiCaL version: 2.1.3
% 3.29/2.00 % (981589)Termination reason: Instruction limit
% 3.29/2.00 % (981589)Termination phase: Saturation
% 3.29/2.00 % (981589)Time elapsed: 0.094 s
% 3.29/2.00 % (981589)Peak memory usage: 97 MB
% 3.29/2.00 % (981589)Instructions burned: 287 (million)
% 3.29/2.00 % (981597)lrs+1011_1_sil=32000:sp=occurrence:random_seed=132688739:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.29/2.00 % (981596)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1380373161:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.29/2.00 % (981584)------------------------------
% 3.29/2.00 % (981584)------------------------------
% 3.29/2.00 % (981596)Refutation not found, incomplete strategy
% 3.29/2.00 % (981596)------------------------------
% 3.29/2.00 % (981596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/2.00 % (981596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/2.00 % (981596)CaDiCaL version: 2.1.3
% 3.29/2.00 % (981596)Termination reason: Refutation not found, incomplete strategy
% 3.29/2.00 % (981596)Time elapsed: 0.033 s
% 3.29/2.00 % (981596)Peak memory usage: 93 MB
% 3.29/2.00 % (981596)Instructions burned: 72 (million)
% 3.29/2.00 % (981599)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4043105822:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 3.29/2.00 % (981599)Instruction limit reached!
% 3.29/2.00 % (981599)------------------------------
% 3.29/2.00 % (981599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/2.00 % (981599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/2.00 % (981599)CaDiCaL version: 2.1.3
% 3.29/2.00 % (981599)Termination reason: Instruction limit
% 3.29/2.00 % (981599)Termination phase: Property scanning
% 3.29/2.00 % (981599)Time elapsed: 0.067 s
% 3.29/2.00 % (981599)Peak memory usage: 96 MB
% 3.29/2.00 % (981599)Instructions burned: 254 (million)
% 3.29/2.00 % (981602)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2070189508:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.29/2.00 % (981597)Instruction limit reached!
% 3.29/2.00 % (981597)------------------------------
% 3.29/2.00 % (981597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/2.00 % (981597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/2.00 % (981597)CaDiCaL version: 2.1.3
% 3.29/2.00 % (981597)Termination reason: Instruction limit
% 3.29/2.00 % (981597)Termination phase: Saturation
% 3.29/2.00 % (981597)Time elapsed: 0.205 s
% 3.29/2.00 % (981597)Peak memory usage: 96 MB
% 3.29/2.00 % (981597)Instructions burned: 326 (million)
% 3.29/2.00 % (981604)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1145740150:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 3.29/2.00 % (981596)------------------------------
% 3.29/2.00 % (981596)------------------------------
% 3.29/2.00 % (981602)First to succeed.
% 3.29/2.00 % (981602)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-981576"
% 3.29/2.00 % (981606)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1121287271:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 3.29/2.00 % (981606)Instruction limit reached!
% 3.29/2.00 % (981606)------------------------------
% 3.29/2.00 % (981606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/2.00 % (981606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/2.00 % (981606)CaDiCaL version: 2.1.3
% 3.29/2.00 % (981606)Termination reason: Instruction limit
% 3.29/2.00 % (981606)Termination phase: Preprocessing 3
% 3.29/2.00 % (981606)Time elapsed: 0.065 s
% 3.29/2.00 % (981606)Peak memory usage: 93 MB
% 3.29/2.00 % (981606)Instructions burned: 114 (million)
% 3.29/2.00 % (981608)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=422858835:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 3.29/2.00 % (981608)Instruction limit reached!
% 3.29/2.00 % (981608)------------------------------
% 3.29/2.00 % (981608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/2.00 % (981608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/2.00 % (981608)CaDiCaL version: 2.1.3
% 3.29/2.00 % (981608)Termination reason: Instruction limit
% 3.29/2.00 % (981608)Termination phase: Property scanning
% 3.29/2.00 % (981608)Time elapsed: 0.080 s
% 3.29/2.00 % (981608)Peak memory usage: 96 MB
% 3.29/2.00 % (981608)Instructions burned: 127 (million)
% 3.29/2.00 % (981602)Refutation found. Thanks to Tanya!
% 3.29/2.00 % SZS status Theorem for theBenchmark
% 3.29/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 7.76/2.19 % (981602)------------------------------
% 7.76/2.19 % (981602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.76/2.19 % (981602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/2.19 % (981602)CaDiCaL version: 2.1.3
% 7.76/2.19 % (981602)Termination reason: Refutation
% 7.76/2.19 % (981602)Time elapsed: 0.120 s
% 7.76/2.19 % (981602)Peak memory usage: 95 MB
% 7.76/2.19 % (981602)Instructions burned: 224 (million)
% 7.76/2.19 % (981602)------------------------------
% 7.76/2.19 % (981602)------------------------------
% 7.76/2.19 % (981576)Success in time 1.139 s
% 7.76/2.19 % Vampire exiting
%------------------------------------------------------------------------------