%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV609+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:59:33 PM UTC 2026
% Result : Theorem 30.07s 5.02s
% Output : Refutation 30.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 88 ( 24 unt; 3 def)
% Number of atoms : 375 ( 9 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 488 ( 201 ~; 193 |; 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 : 133 ( 0 sgn 118 !; 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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(f4394,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(f4395,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,[],[f4394]) ).
fof(f4417,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(f4418,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,[],[f4417]) ).
fof(f4419,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(f4420,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,[],[f4419]) ).
fof(f4453,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(f4454,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,[],[f4453]) ).
fof(f4455,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(f4456,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,[],[f4455]) ).
fof(f4459,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(f4460,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,[],[f4459]) ).
fof(f4557,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(f4558,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,[],[f4557]) ).
fof(f10374,plain,
! [X0] :
( ! [X1] :
( ( cLambda_2eRedexes_2eredexes___24t(sK2834(X0,X1))
& cLambda_2eResiduals_2eresiduals___24a3(X0,X1,sK2834(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,[sK2834]),skolemize(X2,sK2834(X0,X1))],[f4460]) ).
fof(f10903,plain,
( ~ cLambda_2eResiduals_2eresiduals___24a3(sK2837,sK2835,sK2840)
& cLambda_2eResiduals_2eresiduals___24a3(sK2839,sK2838,sK2840)
& cLambda_2eRedexes_2eredexes___24t(sK2840)
& cLambda_2eResiduals_2eresiduals___24a3(sK2837,sK2836,sK2839)
& cLambda_2eRedexes_2eredexes___24t(sK2839)
& cLambda_2eResiduals_2eresiduals___24a3(sK2835,sK2836,sK2838)
& cLambda_2eRedexes_2eredexes___24t(sK2838)
& cLambda_2eRedexes_2eregular___24a1(sK2835)
& cLambda_2eRedexes_2esub___24a2(sK2836,sK2835)
& cLambda_2eRedexes_2eredexes___24t(sK2837)
& cLambda_2eRedexes_2eredexes___24t(sK2836)
& cLambda_2eRedexes_2eredexes___24t(sK2835) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2835,sK2836,sK2837,sK2838,sK2839,sK2840]),skolemize(X0,sK2835),skolemize(X1,sK2836),skolemize(X2,sK2837),skolemize(X3,sK2838),skolemize(X4,sK2839),skolemize(X5,sK2840)],[f4558]) ).
fof(f17155,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cLambda_2eRedexes_2esub___24a2(X1,X0)
| ~ 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_2eResiduals_2eresiduals___24a3(X4,X3,X5)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(cnf_transformation,[],[f4395]) ).
fof(f17192,plain,
! [X0,X1] :
( ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| cLambda_2eRedexes_2ecomp___24a2(X1,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(cnf_transformation,[],[f4418]) ).
fof(f17193,plain,
! [X2,X0,X1] :
( ~ cLambda_2eRedexes_2ecomp___24a2(X1,X2)
| cLambda_2eRedexes_2ecomp___24a2(X0,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,[],[f4420]) ).
fof(f17288,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,[],[f4454]) ).
fof(f17289,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,[],[f4456]) ).
fof(f17336,plain,
! [X0,X1] :
( ~ cLambda_2eRedexes_2ecomp___24a2(X0,X1)
| ~ cLambda_2eRedexes_2eregular___24a1(X1)
| cLambda_2eResiduals_2eresiduals___24a3(X0,X1,sK2834(X0,X1))
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(cnf_transformation,[],[f10374]) ).
fof(f17337,plain,
! [X0,X1] :
( cLambda_2eRedexes_2eredexes___24t(sK2834(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,[],[f10374]) ).
fof(f18871,plain,
cLambda_2eRedexes_2eredexes___24t(sK2835),
inference(cnf_transformation,[],[f10903]) ).
fof(f18872,plain,
cLambda_2eRedexes_2eredexes___24t(sK2836),
inference(cnf_transformation,[],[f10903]) ).
fof(f18873,plain,
cLambda_2eRedexes_2eredexes___24t(sK2837),
inference(cnf_transformation,[],[f10903]) ).
fof(f18874,plain,
cLambda_2eRedexes_2esub___24a2(sK2836,sK2835),
inference(cnf_transformation,[],[f10903]) ).
fof(f18875,plain,
cLambda_2eRedexes_2eregular___24a1(sK2835),
inference(cnf_transformation,[],[f10903]) ).
fof(f18876,plain,
cLambda_2eRedexes_2eredexes___24t(sK2838),
inference(cnf_transformation,[],[f10903]) ).
fof(f18877,plain,
cLambda_2eResiduals_2eresiduals___24a3(sK2835,sK2836,sK2838),
inference(cnf_transformation,[],[f10903]) ).
fof(f18878,plain,
cLambda_2eRedexes_2eredexes___24t(sK2839),
inference(cnf_transformation,[],[f10903]) ).
fof(f18879,plain,
cLambda_2eResiduals_2eresiduals___24a3(sK2837,sK2836,sK2839),
inference(cnf_transformation,[],[f10903]) ).
fof(f18880,plain,
cLambda_2eRedexes_2eredexes___24t(sK2840),
inference(cnf_transformation,[],[f10903]) ).
fof(f18881,plain,
cLambda_2eResiduals_2eresiduals___24a3(sK2839,sK2838,sK2840),
inference(cnf_transformation,[],[f10903]) ).
fof(f18882,plain,
~ cLambda_2eResiduals_2eresiduals___24a3(sK2837,sK2835,sK2840),
inference(cnf_transformation,[],[f10903]) ).
fof(f21328,plain,
( cLambda_2eRedexes_2ecomp___24a2(sK2835,sK2836)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2838)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2836)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2835) ),
inference(resolution,[],[f17288,f18877]) ).
fof(f21329,plain,
( cLambda_2eRedexes_2ecomp___24a2(sK2837,sK2836)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2839)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2836)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2837) ),
inference(resolution,[],[f17288,f18879]) ).
fof(f21332,plain,
cLambda_2eRedexes_2ecomp___24a2(sK2837,sK2836),
inference(global_subsumption,[],[f21329,f18878,f18873,f18872]) ).
fof(f21333,plain,
cLambda_2eRedexes_2ecomp___24a2(sK2835,sK2836),
inference(global_subsumption,[],[f21328,f18876,f18872,f18871]) ).
fof(f21372,plain,
! [X0] :
( sK2840 = X0
| ~ cLambda_2eRedexes_2eredexes___24t(sK2840)
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK2839,sK2838,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2838)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2839) ),
inference(resolution,[],[f17289,f18881]) ).
fof(f21373,plain,
! [X0] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(sK2839,sK2838,X0)
| sK2840 = X0
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(global_subsumption,[],[f21372,f18880,f18878,f18876]) ).
fof(f21465,plain,
! [X2,X3,X0,X1] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(X0,sK2835,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,sK2836,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK2835,sK2836,X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| cLambda_2eResiduals_2eresiduals___24a3(X2,X3,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2836)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2835) ),
inference(resolution,[],[f17155,f18874]) ).
fof(f21470,plain,
! [X2,X3,X0,X1] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(X0,sK2835,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X0,sK2836,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK2835,sK2836,X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| cLambda_2eResiduals_2eresiduals___24a3(X2,X3,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(global_subsumption,[],[f21465,f18872,f18871]) ).
fof(f21648,plain,
( cLambda_2eRedexes_2ecomp___24a2(sK2836,sK2835)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2836)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2835) ),
inference(resolution,[],[f17192,f21333]) ).
fof(f21655,plain,
cLambda_2eRedexes_2ecomp___24a2(sK2836,sK2835),
inference(global_subsumption,[],[f21648,f18872,f18871]) ).
fof(f21769,plain,
! [X0] :
( cLambda_2eRedexes_2ecomp___24a2(X0,sK2835)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2835)
| ~ cLambda_2eRedexes_2ecomp___24a2(X0,sK2836)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2836)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(resolution,[],[f17193,f21655]) ).
fof(f21778,plain,
! [X0] :
( ~ cLambda_2eRedexes_2ecomp___24a2(X0,sK2836)
| cLambda_2eRedexes_2ecomp___24a2(X0,sK2835)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(global_subsumption,[],[f21769,f18872,f18871]) ).
fof(f21796,plain,
( cLambda_2eRedexes_2ecomp___24a2(sK2837,sK2835)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2837) ),
inference(resolution,[],[f21778,f21332]) ).
fof(f21798,plain,
cLambda_2eRedexes_2ecomp___24a2(sK2837,sK2835),
inference(global_subsumption,[],[f21796,f18873]) ).
fof(f21804,plain,
( ~ cLambda_2eRedexes_2eregular___24a1(sK2835)
| cLambda_2eResiduals_2eresiduals___24a3(sK2837,sK2835,sK2834(sK2837,sK2835))
| ~ cLambda_2eRedexes_2eredexes___24t(sK2835)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2837) ),
inference(resolution,[],[f21798,f17336]) ).
fof(f21805,plain,
cLambda_2eResiduals_2eresiduals___24a3(sK2837,sK2835,sK2834(sK2837,sK2835)),
inference(global_subsumption,[],[f21804,f18875,f18873,f18871]) ).
fof(f21818,plain,
! [X0,X1] :
( ~ cLambda_2eRedexes_2eredexes___24t(sK2834(sK2837,sK2835))
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK2837,sK2836,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK2835,sK2836,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| cLambda_2eResiduals_2eresiduals___24a3(X0,X1,sK2834(sK2837,sK2835))
| ~ cLambda_2eRedexes_2eredexes___24t(sK2837) ),
inference(resolution,[],[f21805,f21470]) ).
fof(f21827,plain,
! [X0,X1] :
( ~ cLambda_2eRedexes_2eredexes___24t(sK2834(sK2837,sK2835))
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK2837,sK2836,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK2835,sK2836,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| cLambda_2eResiduals_2eresiduals___24a3(X0,X1,sK2834(sK2837,sK2835)) ),
inference(global_subsumption,[],[f21818,f18873]) ).
fof(f21830,definition,
( spl2841_164
<=> cLambda_2eRedexes_2eredexes___24t(sK2834(sK2837,sK2835)) ),
introduced(definition,[new_symbols(definition,[spl2841_164])],[avatar_definition]) ).
fof(f21832,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(sK2834(sK2837,sK2835))
| spl2841_164 ),
inference(avatar_component_clause,[],[f21830]) ).
fof(f21850,definition,
( spl2841_169
<=> ! [X0,X1] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(sK2837,sK2836,X0)
| cLambda_2eResiduals_2eresiduals___24a3(X0,X1,sK2834(sK2837,sK2835))
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK2835,sK2836,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2841_169])],[avatar_definition]) ).
fof(f21851,plain,
( ! [X0,X1] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(sK2837,sK2836,X0)
| cLambda_2eResiduals_2eresiduals___24a3(X0,X1,sK2834(sK2837,sK2835))
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK2835,sK2836,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) )
| ~ spl2841_169 ),
inference(avatar_component_clause,[],[f21850]) ).
fof(f21852,plain,
( spl2841_169
| ~ spl2841_164 ),
inference(avatar_split_clause,[],[f21827,f21830,f21850]) ).
fof(f21858,plain,
( ~ cLambda_2eRedexes_2eregular___24a1(sK2835)
| ~ cLambda_2eRedexes_2ecomp___24a2(sK2837,sK2835)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2835)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2837)
| spl2841_164 ),
inference(resolution,[],[f21832,f17337]) ).
fof(f21859,plain,
( $false
| spl2841_164 ),
inference(global_subsumption,[],[f21858,f21798,f18875,f18873,f18871]) ).
fof(f21860,plain,
spl2841_164,
inference(avatar_contradiction_clause,[],[f21859]) ).
fof(f21972,plain,
( ! [X0] :
( cLambda_2eResiduals_2eresiduals___24a3(sK2839,X0,sK2834(sK2837,sK2835))
| ~ cLambda_2eResiduals_2eresiduals___24a3(sK2835,sK2836,X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X0)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2839) )
| ~ spl2841_169 ),
inference(resolution,[],[f21851,f18879]) ).
fof(f21975,plain,
( ! [X0] :
( ~ cLambda_2eResiduals_2eresiduals___24a3(sK2835,sK2836,X0)
| cLambda_2eResiduals_2eresiduals___24a3(sK2839,X0,sK2834(sK2837,sK2835))
| ~ cLambda_2eRedexes_2eredexes___24t(X0) )
| ~ spl2841_169 ),
inference(global_subsumption,[],[f21972,f18878]) ).
fof(f21978,plain,
( cLambda_2eResiduals_2eresiduals___24a3(sK2839,sK2838,sK2834(sK2837,sK2835))
| ~ cLambda_2eRedexes_2eredexes___24t(sK2838)
| ~ spl2841_169 ),
inference(resolution,[],[f21975,f18877]) ).
fof(f21981,plain,
( cLambda_2eResiduals_2eresiduals___24a3(sK2839,sK2838,sK2834(sK2837,sK2835))
| ~ spl2841_169 ),
inference(global_subsumption,[],[f21978,f18876]) ).
fof(f21984,plain,
( sK2840 = sK2834(sK2837,sK2835)
| ~ cLambda_2eRedexes_2eredexes___24t(sK2834(sK2837,sK2835))
| ~ spl2841_169 ),
inference(resolution,[],[f21981,f21373]) ).
fof(f21996,definition,
( spl2841_186
<=> sK2840 = sK2834(sK2837,sK2835) ),
introduced(definition,[new_symbols(definition,[spl2841_186])],[avatar_definition]) ).
fof(f21998,plain,
( sK2840 = sK2834(sK2837,sK2835)
| ~ spl2841_186 ),
inference(avatar_component_clause,[],[f21996]) ).
fof(f21999,plain,
( ~ spl2841_164
| spl2841_186
| ~ spl2841_169 ),
inference(avatar_split_clause,[],[f21984,f21850,f21996,f21830]) ).
fof(f22054,plain,
( cLambda_2eResiduals_2eresiduals___24a3(sK2837,sK2835,sK2840)
| ~ spl2841_186 ),
inference(superposition,[],[f21805,f21998]) ).
fof(f22065,plain,
( $false
| ~ spl2841_186 ),
inference(global_subsumption,[],[f22054,f18882]) ).
fof(f22066,plain,
~ spl2841_186,
inference(avatar_contradiction_clause,[],[f22065]) ).
cnf(s7878,plain,
( ~ spl2841_164
| spl2841_169 ),
inference(sat_conversion,[],[f21852]) ).
cnf(s7883,plain,
spl2841_164,
inference(sat_conversion,[],[f21860]) ).
cnf(s7937,plain,
( ~ spl2841_164
| ~ spl2841_169
| spl2841_186 ),
inference(sat_conversion,[],[f21999]) ).
cnf(s7964,plain,
~ spl2841_186,
inference(sat_conversion,[],[f22066]) ).
cnf(s7966,plain,
( ~ spl2841_164
| ~ spl2841_169 ),
inference(rat,[],[s7937,s7964]) ).
cnf(s7967,plain,
~ spl2841_169,
inference(rat,[],[s7966,s7883]) ).
cnf(s7969,plain,
$false,
inference(rat,[],[s7878,s7967,s7883]) ).
fof(f22067,plain,
$false,
inference(avatar_sat_refutation,[],[s7969]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV609+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n003.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 06:43:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.05/2.27 % (1387029)Will run a generic schedule for satisfiability detection.
% 12.05/2.27 % (1387035)% WARNING: option uhcvi not known.
% 12.05/2.27 % (1387034)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=596876576_2999 on theBenchmark for (2999ds/0Mi)
% 12.05/2.27 % (1387037)dis+10_1_sil=32000:sp=arity:random_seed=3389633013:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 12.05/2.27 % (1387038)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2463400104:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 12.05/2.27 % (1387036)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=358759038:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 12.05/2.27 % (1387035)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3131619409:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 12.05/2.27 % (1387039)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2874477779:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 12.05/2.27 % (1387040)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4047337863:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 12.05/2.27 % (1387037)Instruction limit reached!
% 12.05/2.27 % (1387037)------------------------------
% 12.05/2.27 % (1387037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.27 % (1387037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.27 % (1387037)CaDiCaL version: 2.1.3
% 12.05/2.27 % (1387037)Termination reason: Instruction limit
% 12.05/2.27 % (1387037)Termination phase: Preprocessing 3
% 12.05/2.27 % (1387037)Time elapsed: 0.062 s
% 12.05/2.27 % (1387037)Peak memory usage: 20 MB
% 12.05/2.27 % (1387037)Instructions burned: 103 (million)
% 12.05/2.27 % (1387038)Instruction limit reached!
% 12.05/2.27 % (1387038)------------------------------
% 12.05/2.27 % (1387038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.27 % (1387038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.27 % (1387038)CaDiCaL version: 2.1.3
% 12.05/2.27 % (1387038)Termination reason: Instruction limit
% 12.05/2.27 % (1387038)Termination phase: NewCNF
% 12.05/2.27 % (1387038)Time elapsed: 0.071 s
% 12.05/2.27 % (1387038)Peak memory usage: 19 MB
% 12.05/2.27 % (1387038)Instructions burned: 118 (million)
% 12.05/2.27 % (1387039)Instruction limit reached!
% 12.05/2.27 % (1387039)------------------------------
% 12.05/2.27 % (1387039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.27 % (1387039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.27 % (1387039)CaDiCaL version: 2.1.3
% 12.05/2.27 % (1387039)Termination reason: Instruction limit
% 12.05/2.27 % (1387039)Termination phase: Property scanning
% 12.05/2.27 % (1387039)Time elapsed: 0.081 s
% 12.05/2.27 % (1387039)Peak memory usage: 22 MB
% 12.05/2.27 % (1387039)Instructions burned: 132 (million)
% 12.05/2.27 % (1387048)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=827890337:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 12.05/2.27 % (1387040)Instruction limit reached!
% 12.05/2.27 % (1387040)------------------------------
% 12.05/2.27 % (1387040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.27 % (1387040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.05/2.27 % (1387040)CaDiCaL version: 2.1.3
% 12.05/2.27 % (1387040)Termination reason: Instruction limit
% 12.05/2.27 % (1387040)Termination phase: Property scanning
% 12.05/2.27 % (1387040)Time elapsed: 0.091 s
% 12.05/2.27 % (1387040)Peak memory usage: 22 MB
% 12.05/2.27 % (1387040)Instructions burned: 160 (million)
% 12.05/2.27 % (1387049)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=40027646:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 12.05/2.27 % (1387051)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=903165206:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 12.05/2.27 % (1387053)ott-21_1_sil=16000:fs=off:random_seed=1709180118:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.05/2.27 % (1387049)Instruction limit reached!
% 12.05/2.27 % (1387049)------------------------------
% 12.05/2.27 % (1387049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.05/2.27 % (1387049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.72/3.44 % (1387049)CaDiCaL version: 2.1.3
% 20.72/3.44 % (1387049)Termination reason: Instruction limit
% 20.72/3.44 % (1387049)Termination phase: Property scanning
% 20.72/3.44 % (1387049)Time elapsed: 0.081 s
% 20.72/3.44 % (1387049)Peak memory usage: 22 MB
% 20.72/3.44 % (1387049)Instructions burned: 131 (million)
% 20.72/3.44 % (1387058)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3809934945:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 20.72/3.44 % (1387053)Instruction limit reached!
% 20.72/3.44 % (1387053)------------------------------
% 20.72/3.44 % (1387053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.72/3.44 % (1387053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.72/3.44 % (1387053)CaDiCaL version: 2.1.3
% 20.72/3.44 % (1387053)Termination reason: Instruction limit
% 20.72/3.44 % (1387053)Termination phase: Property scanning
% 20.72/3.44 % (1387053)Time elapsed: 0.097 s
% 20.72/3.44 % (1387053)Peak memory usage: 22 MB
% 20.72/3.44 % (1387053)Instructions burned: 182 (million)
% 20.72/3.44 % (1387060)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1157444281:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 20.72/3.44 % (1387051)Instruction limit reached!
% 20.72/3.44 % (1387051)------------------------------
% 20.72/3.44 % (1387051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.72/3.44 % (1387051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.72/3.44 % (1387051)CaDiCaL version: 2.1.3
% 20.72/3.44 % (1387051)Termination reason: Instruction limit
% 20.72/3.44 % (1387051)Termination phase: Saturation
% 20.72/3.44 % (1387051)Time elapsed: 0.291 s
% 20.72/3.44 % (1387051)Peak memory usage: 24 MB
% 20.72/3.44 % (1387051)Instructions burned: 686 (million)
% 20.72/3.44 % (1387062)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=111496181:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 20.72/3.44 % (1387048)Instruction limit reached!
% 20.72/3.44 % (1387048)------------------------------
% 20.72/3.44 % (1387048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.72/3.44 % (1387048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.72/3.44 % (1387048)CaDiCaL version: 2.1.3
% 20.72/3.44 % (1387048)Termination reason: Instruction limit
% 20.72/3.44 % (1387048)Termination phase: Finite model building preprocessing
% 20.72/3.44 % (1387048)Time elapsed: 0.333 s
% 20.72/3.44 % (1387048)Peak memory usage: 31 MB
% 20.72/3.44 % (1387048)Instructions burned: 715 (million)
% 20.72/3.44 % (1387058)Instruction limit reached!
% 20.72/3.44 % (1387058)------------------------------
% 20.72/3.44 % (1387058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.72/3.44 % (1387058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.72/3.44 % (1387058)CaDiCaL version: 2.1.3
% 20.72/3.44 % (1387058)Termination reason: Instruction limit
% 20.72/3.44 % (1387058)Termination phase: Saturation
% 20.72/3.44 % (1387058)Time elapsed: 0.231 s
% 20.72/3.44 % (1387058)Peak memory usage: 26 MB
% 20.72/3.44 % (1387058)Instructions burned: 479 (million)
% 20.72/3.44 % (1387064)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3426134704:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 20.72/3.44 % (1387065)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1269524514:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 20.72/3.44 % (1387060)Instruction limit reached!
% 20.72/3.44 % (1387060)------------------------------
% 20.72/3.44 % (1387060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.72/3.44 % (1387060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.72/3.44 % (1387060)CaDiCaL version: 2.1.3
% 20.72/3.44 % (1387060)Termination reason: Instruction limit
% 20.72/3.44 % (1387060)Termination phase: Finite model building preprocessing
% 20.72/3.44 % (1387060)Time elapsed: 0.425 s
% 20.72/3.44 % (1387060)Peak memory usage: 30 MB
% 20.72/3.44 % (1387060)Instructions burned: 866 (million)
% 20.72/3.44 % (1387068)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1895374950:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 20.72/3.44 % (1387065)Instruction limit reached!
% 20.72/3.44 % (1387065)------------------------------
% 20.72/3.44 % (1387065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.72/3.44 % (1387065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387065)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387065)Termination reason: Instruction limit
% 30.07/5.02 % (1387065)Termination phase: Saturation
% 30.07/5.02 % (1387065)Time elapsed: 0.322 s
% 30.07/5.02 % (1387065)Peak memory usage: 29 MB
% 30.07/5.02 % (1387065)Instructions burned: 692 (million)
% 30.07/5.02 % (1387070)fmb+10_1_sil=64000:random_seed=793043964:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 30.07/5.02 % (1387064)Instruction limit reached!
% 30.07/5.02 % (1387064)------------------------------
% 30.07/5.02 % (1387064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387064)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387064)Termination reason: Instruction limit
% 30.07/5.02 % (1387064)Termination phase: Finite model building preprocessing
% 30.07/5.02 % (1387064)Time elapsed: 0.433 s
% 30.07/5.02 % (1387064)Peak memory usage: 30 MB
% 30.07/5.02 % (1387064)Instructions burned: 889 (million)
% 30.07/5.02 % (1387072)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4181089763:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 30.07/5.02 % (1387062)Instruction limit reached!
% 30.07/5.02 % (1387062)------------------------------
% 30.07/5.02 % (1387062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387062)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387062)Termination reason: Instruction limit
% 30.07/5.02 % (1387062)Termination phase: Saturation
% 30.07/5.02 % (1387062)Time elapsed: 0.604 s
% 30.07/5.02 % (1387062)Peak memory usage: 38 MB
% 30.07/5.02 % (1387062)Instructions burned: 1180 (million)
% 30.07/5.02 % (1387074)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1844290306:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 30.07/5.02 % (1387068)Instruction limit reached!
% 30.07/5.02 % (1387068)------------------------------
% 30.07/5.02 % (1387068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387068)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387068)Termination reason: Instruction limit
% 30.07/5.02 % (1387068)Termination phase: Saturation
% 30.07/5.02 % (1387068)Time elapsed: 0.389 s
% 30.07/5.02 % (1387068)Peak memory usage: 32 MB
% 30.07/5.02 % (1387068)Instructions burned: 880 (million)
% 30.07/5.02 % (1387076)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=779492130:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 30.07/5.02 % TRYING [1]
% 30.07/5.02 % (1387034)Cannot represent all propositional literals internally
% 30.07/5.02 % (1387034)Refutation not found, incomplete strategy
% 30.07/5.02 % (1387034)------------------------------
% 30.07/5.02 % (1387034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387034)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387034)Termination reason: Refutation not found, incomplete strategy
% 30.07/5.02 % (1387034)Time elapsed: 1.393 s
% 30.07/5.02 % (1387034)Peak memory usage: 68 MB
% 30.07/5.02 % (1387034)Instructions burned: 2895 (million)
% 30.07/5.02 % (1387034)------------------------------
% 30.07/5.02 % (1387034)------------------------------
% 30.07/5.02 % (1387078)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1206120586:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 30.07/5.02 % (1387074)Instruction limit reached!
% 30.07/5.02 % (1387074)------------------------------
% 30.07/5.02 % (1387074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387074)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387074)Termination reason: Instruction limit
% 30.07/5.02 % (1387074)Termination phase: Finite model building preprocessing
% 30.07/5.02 % (1387074)Time elapsed: 0.452 s
% 30.07/5.02 % (1387074)Peak memory usage: 31 MB
% 30.07/5.02 % (1387074)Instructions burned: 921 (million)
% 30.07/5.02 % (1387080)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=416733784:i=6324_2984 on theBenchmark for (2984ds/6324Mi)
% 30.07/5.02 % TRYING [1]
% 30.07/5.02 % (1387070)Cannot represent all propositional literals internally
% 30.07/5.02 % (1387070)Refutation not found, incomplete strategy
% 30.07/5.02 % (1387070)------------------------------
% 30.07/5.02 % (1387070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387070)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387070)Termination reason: Refutation not found, incomplete strategy
% 30.07/5.02 % (1387070)Time elapsed: 0.958 s
% 30.07/5.02 % (1387070)Peak memory usage: 49 MB
% 30.07/5.02 % (1387070)Instructions burned: 1986 (million)
% 30.07/5.02 % (1387070)------------------------------
% 30.07/5.02 % (1387070)------------------------------
% 30.07/5.02 % (1387082)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2139224800:fmbsr=2.30978:i=2174_2981 on theBenchmark for (2981ds/2174Mi)
% 30.07/5.02 % (1387072)Cannot represent all propositional literals internally
% 30.07/5.02 % (1387072)Refutation not found, incomplete strategy
% 30.07/5.02 % (1387072)------------------------------
% 30.07/5.02 % (1387072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387072)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387072)Termination reason: Refutation not found, incomplete strategy
% 30.07/5.02 % (1387072)Time elapsed: 0.941 s
% 30.07/5.02 % (1387072)Peak memory usage: 47 MB
% 30.07/5.02 % (1387072)Instructions burned: 1969 (million)
% 30.07/5.02 % (1387072)------------------------------
% 30.07/5.02 % (1387072)------------------------------
% 30.07/5.02 % (1387084)ott-2_1_sil=16000:newcnf=on:random_seed=1661718599:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2980 on theBenchmark for (2980ds/869Mi)
% 30.07/5.02 % (1387078)Instruction limit reached!
% 30.07/5.02 % (1387078)------------------------------
% 30.07/5.02 % (1387078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387078)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387078)Termination reason: Instruction limit
% 30.07/5.02 % (1387078)Termination phase: Saturation
% 30.07/5.02 % (1387078)Time elapsed: 0.579 s
% 30.07/5.02 % (1387078)Peak memory usage: 28 MB
% 30.07/5.02 % (1387078)Instructions burned: 1472 (million)
% 30.07/5.02 % (1387086)ott+10_1_sil=32000:tgt=ground:random_seed=3794872132:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 30.07/5.02 % (1387084)Instruction limit reached!
% 30.07/5.02 % (1387084)------------------------------
% 30.07/5.02 % (1387084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387084)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387084)Termination reason: Instruction limit
% 30.07/5.02 % (1387084)Termination phase: Saturation
% 30.07/5.02 % (1387084)Time elapsed: 0.381 s
% 30.07/5.02 % (1387084)Peak memory usage: 28 MB
% 30.07/5.02 % (1387084)Instructions burned: 869 (million)
% 30.07/5.02 % (1387088)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2966555824:i=54282_2976 on theBenchmark for (2976ds/54282Mi)
% 30.07/5.02 % (1387080)Cannot represent all propositional literals internally
% 30.07/5.02 % (1387080)Refutation not found, incomplete strategy
% 30.07/5.02 % (1387080)------------------------------
% 30.07/5.02 % (1387080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387080)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387080)Termination reason: Refutation not found, incomplete strategy
% 30.07/5.02 % (1387080)Time elapsed: 1.325 s
% 30.07/5.02 % (1387080)Peak memory usage: 61 MB
% 30.07/5.02 % (1387080)Instructions burned: 2763 (million)
% 30.07/5.02 % (1387080)------------------------------
% 30.07/5.02 % (1387080)------------------------------
% 30.07/5.02 % (1387090)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1497738419:i=3512:aac=none_2970 on theBenchmark for (2970ds/3512Mi)
% 30.07/5.02 % (1387082)Instruction limit reached!
% 30.07/5.02 % (1387082)------------------------------
% 30.07/5.02 % (1387082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387082)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387082)Termination reason: Instruction limit
% 30.07/5.02 % (1387082)Termination phase: Finite model building preprocessing
% 30.07/5.02 % (1387082)Time elapsed: 1.138 s
% 30.07/5.02 % (1387082)Peak memory usage: 47 MB
% 30.07/5.02 % (1387082)Instructions burned: 2174 (million)
% 30.07/5.02 % (1387092)dis+21_1_sil=32000:sas=cadical:random_seed=2916974567:i=3773:amm=off_2969 on theBenchmark for (2969ds/3773Mi)
% 30.07/5.02 % TRYING [1]
% 30.07/5.02 % (1387088)Cannot represent all propositional literals internally
% 30.07/5.02 % (1387088)Refutation not found, incomplete strategy
% 30.07/5.02 % (1387088)------------------------------
% 30.07/5.02 % (1387088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387088)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387088)Termination reason: Refutation not found, incomplete strategy
% 30.07/5.02 % (1387088)Time elapsed: 1.387 s
% 30.07/5.02 % (1387088)Peak memory usage: 68 MB
% 30.07/5.02 % (1387088)Instructions burned: 2894 (million)
% 30.07/5.02 % (1387088)------------------------------
% 30.07/5.02 % (1387088)------------------------------
% 30.07/5.02 % (1387094)ott+11_1_sil=16000:gs=on:random_seed=2000950437:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2962 on theBenchmark for (2962ds/2251Mi)
% 30.07/5.02 % (1387076)Instruction limit reached!
% 30.07/5.02 % (1387076)------------------------------
% 30.07/5.02 % (1387076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.02 % (1387076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.02 % (1387076)CaDiCaL version: 2.1.3
% 30.07/5.02 % (1387076)Termination reason: Instruction limit
% 30.07/5.02 % (1387076)Termination phase: Saturation
% 30.07/5.02 % (1387076)Time elapsed: 2.682 s
% 30.07/5.02 % (1387076)Peak memory usage: 95 MB
% 30.07/5.02 % (1387076)Instructions burned: 5131 (million)
% 30.07/5.02 % (1387096)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1989322565:fmbsr=1.6:i=67534_2961 on theBenchmark for (2961ds/67534Mi)
% 30.07/5.02 % (1387094) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1387029-1387094"...
% 30.07/5.02 % (1387094)...printing done.
% 30.07/5.02 % (1387094)Refutation found. Thanks to Tanya!
% 30.07/5.02 % SZS status Theorem for theBenchmark
% 30.07/5.02 % SZS output start Proof for theBenchmark
% See solution above
% 30.07/5.03 % (1387094)------------------------------
% 30.07/5.03 % (1387094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.07/5.03 % (1387094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.03 % (1387094)CaDiCaL version: 2.1.3
% 30.07/5.03 % (1387094)Termination reason: Refutation
% 30.07/5.03 % (1387094)Time elapsed: 0.766 s
% 30.07/5.03 % (1387094)Peak memory usage: 46 MB
% 30.07/5.03 % (1387094)Instructions burned: 1460 (million)
% 30.07/5.03 % (1387029)Success in time 4.592 s
% 30.07/5.03 % Vampire exiting
%------------------------------------------------------------------------------