%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU418+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:48:52 PM UTC 2026
% Result : Theorem 9.92s 2.48s
% Output : Refutation 10.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 90 ( 25 unt; 3 def)
% Number of atoms : 238 ( 12 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 266 ( 118 ~; 109 |; 14 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 132 ( 1 sgn 129 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f76,axiom,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f79,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(X0,k2_xboole_0(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_xboole_1) ).
fof(f86,axiom,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f88,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X0,X2) )
=> r1_tarski(X0,k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f108,axiom,
! [X0,X1] : k2_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f112,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
=> r1_tarski(k4_xboole_0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_xboole_1) ).
fof(f121,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_xboole_1) ).
fof(f563,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,X1)
=> v1_relat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_relat_1) ).
fof(f616,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_relat_1) ).
fof(f617,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( ( r1_tarski(X0,X1)
& r1_tarski(X2,X3) )
=> r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_relat_1) ).
fof(f4476,conjecture,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k5_relat_1(k3_xboole_0(X0,X1),X2),k3_xboole_0(k5_relat_1(X0,X2),k5_relat_1(X1,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_relset_2) ).
fof(f4477,negated_conjecture,
~ ! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k5_relat_1(k3_xboole_0(X0,X1),X2),k3_xboole_0(k5_relat_1(X0,X2),k5_relat_1(X1,X2))) ) ) ),
inference(negated_conjecture,[status(cth)],[f4476]) ).
fof(f4482,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f4512,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k5_relat_1(k3_xboole_0(X0,X1),X2),k3_xboole_0(k5_relat_1(X0,X2),k5_relat_1(X1,X2)))
& v1_relat_1(X2) )
& v1_relat_1(X1) )
& v1_relat_1(X0) ),
inference(ennf_transformation,[],[f4477]) ).
fof(f4557,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f88]) ).
fof(f4558,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(flattening,[],[f4557]) ).
fof(f4690,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X3) )
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f617]) ).
fof(f4691,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X3) )
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f4690]) ).
fof(f4692,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f616]) ).
fof(f4693,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f4692]) ).
fof(f4775,plain,
! [X0,X1,X2] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f112]) ).
fof(f4784,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f4809,plain,
! [X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f563]) ).
fof(f4810,plain,
! [X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f4809]) ).
fof(f4811,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f4812,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f4811]) ).
fof(f4851,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sK1,sK2),sK3),k3_xboole_0(k5_relat_1(sK1,sK3),k5_relat_1(sK2,sK3)))
& v1_relat_1(sK3)
& v1_relat_1(sK2)
& v1_relat_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f4512]) ).
fof(f4944,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f4945,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f4944]) ).
fof(f4986,plain,
v1_relat_1(sK1),
inference(cnf_transformation,[],[f4851]) ).
fof(f4987,plain,
v1_relat_1(sK2),
inference(cnf_transformation,[],[f4851]) ).
fof(f4988,plain,
v1_relat_1(sK3),
inference(cnf_transformation,[],[f4851]) ).
fof(f4989,plain,
~ r1_tarski(k5_relat_1(k3_xboole_0(sK1,sK2),sK3),k3_xboole_0(k5_relat_1(sK1,sK3),k5_relat_1(sK2,sK3))),
inference(cnf_transformation,[],[f4851]) ).
fof(f5060,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f4558]) ).
fof(f5062,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f86]) ).
fof(f5226,plain,
! [X2,X3,X0,X1] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X3))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f4691]) ).
fof(f5227,plain,
! [X2,X0,X1] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f4693]) ).
fof(f5347,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f121]) ).
fof(f5352,plain,
! [X2,X0,X1] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f4775]) ).
fof(f5356,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f108]) ).
fof(f5372,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f4784]) ).
fof(f5375,plain,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f5381,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f5435,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f4810]) ).
fof(f5436,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f4812]) ).
fof(f5438,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f4945]) ).
fof(f5440,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f4482]) ).
fof(f5509,plain,
! [X1] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f5438]) ).
fof(f5517,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sK1,sK2),sK3),k5_relat_1(sK1,sK3))
| ~ r1_tarski(k5_relat_1(k3_xboole_0(sK1,sK2),sK3),k5_relat_1(sK2,sK3)) ),
inference(resolution,[],[f4989,f5060]) ).
fof(f5525,definition,
( spl65_2
<=> r1_tarski(k5_relat_1(k3_xboole_0(sK1,sK2),sK3),k5_relat_1(sK1,sK3)) ),
introduced(definition,[new_symbols(definition,[spl65_2])],[avatar_definition]) ).
fof(f5526,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sK1,sK2),sK3),k5_relat_1(sK1,sK3))
| spl65_2 ),
inference(avatar_component_clause,[],[f5525]) ).
fof(f5536,definition,
( spl65_5
<=> r1_tarski(k5_relat_1(k3_xboole_0(sK1,sK2),sK3),k5_relat_1(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl65_5])],[avatar_definition]) ).
fof(f5537,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sK1,sK2),sK3),k5_relat_1(sK2,sK3))
| spl65_5 ),
inference(avatar_component_clause,[],[f5536]) ).
fof(f5538,plain,
( ~ spl65_5
| ~ spl65_2 ),
inference(avatar_split_clause,[],[f5517,f5525,f5536]) ).
fof(f5539,plain,
( ~ r1_tarski(k3_xboole_0(sK1,sK2),sK1)
| ~ r1_tarski(sK3,sK3)
| ~ v1_relat_1(sK3)
| ~ v1_relat_1(sK3)
| ~ v1_relat_1(sK1)
| ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| spl65_2 ),
inference(resolution,[],[f5526,f5226]) ).
fof(f5543,plain,
( ~ r1_tarski(k3_xboole_0(sK1,sK2),sK1)
| ~ r1_tarski(sK3,sK3)
| ~ v1_relat_1(sK3)
| ~ v1_relat_1(sK1)
| ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| spl65_2 ),
inference(duplicate_literal_removal,[],[f5539]) ).
fof(f5546,plain,
( ~ r1_tarski(k3_xboole_0(sK1,sK2),sK1)
| ~ r1_tarski(sK3,sK3)
| ~ v1_relat_1(sK3)
| ~ v1_relat_1(sK1)
| spl65_2 ),
inference(forward_subsumption_resolution,[],[f5543,f5435]) ).
fof(f5549,plain,
( ~ r1_tarski(sK3,sK3)
| ~ v1_relat_1(sK3)
| ~ v1_relat_1(sK1)
| spl65_2 ),
inference(forward_subsumption_resolution,[],[f5546,f5062]) ).
fof(f5551,plain,
( ~ v1_relat_1(sK3)
| ~ v1_relat_1(sK1)
| spl65_2 ),
inference(forward_subsumption_resolution,[],[f5549,f5509]) ).
fof(f5554,plain,
( ~ v1_relat_1(sK1)
| spl65_2 ),
inference(forward_subsumption_resolution,[],[f5551,f4988]) ).
fof(f5555,plain,
( $false
| spl65_2 ),
inference(forward_subsumption_resolution,[],[f5554,f4986]) ).
fof(f5556,plain,
spl65_2,
inference(avatar_contradiction_clause,[],[f5555]) ).
fof(f5571,plain,
( ~ r1_tarski(k3_xboole_0(sK1,sK2),sK2)
| ~ v1_relat_1(sK3)
| ~ v1_relat_1(sK2)
| ~ v1_relat_1(k3_xboole_0(sK1,sK2))
| spl65_5 ),
inference(resolution,[],[f5537,f5227]) ).
fof(f5575,plain,
( ~ r1_tarski(k3_xboole_0(sK1,sK2),sK2)
| ~ v1_relat_1(sK3)
| ~ v1_relat_1(sK2)
| spl65_5 ),
inference(forward_subsumption_resolution,[],[f5571,f5435]) ).
fof(f5577,plain,
( ~ r1_tarski(k3_xboole_0(sK1,sK2),sK2)
| ~ v1_relat_1(sK2)
| spl65_5 ),
inference(forward_subsumption_resolution,[],[f5575,f4988]) ).
fof(f5579,plain,
( ~ r1_tarski(k3_xboole_0(sK1,sK2),sK2)
| spl65_5 ),
inference(forward_subsumption_resolution,[],[f5577,f4987]) ).
fof(f5583,plain,
( ! [X0] :
( ~ r1_tarski(k3_xboole_0(sK1,sK2),X0)
| ~ r1_tarski(X0,sK2) )
| spl65_5 ),
inference(resolution,[],[f5579,f5436]) ).
fof(f6312,plain,
( ! [X0] : ~ r1_tarski(k2_xboole_0(k3_xboole_0(sK1,sK2),X0),sK2)
| spl65_5 ),
inference(resolution,[],[f5583,f5375]) ).
fof(f6333,plain,
( ! [X0] : ~ r1_tarski(k2_xboole_0(X0,k3_xboole_0(sK1,sK2)),sK2)
| spl65_5 ),
inference(superposition,[],[f6312,f5381]) ).
fof(f8060,plain,
( ! [X0] : ~ r1_tarski(k4_xboole_0(sK1,k4_xboole_0(X0,sK2)),sK2)
| spl65_5 ),
inference(superposition,[],[f6333,f5347]) ).
fof(f8415,definition,
( spl65_97
<=> ! [X0] : ~ r1_tarski(sK1,k2_xboole_0(sK2,X0)) ),
introduced(definition,[new_symbols(definition,[spl65_97])],[avatar_definition]) ).
fof(f8416,plain,
( ! [X0] : ~ r1_tarski(sK1,k2_xboole_0(sK2,X0))
| ~ spl65_97 ),
inference(avatar_component_clause,[],[f8415]) ).
fof(f9914,plain,
( ! [X0] : ~ r1_tarski(sK1,k2_xboole_0(k4_xboole_0(X0,sK2),sK2))
| spl65_5 ),
inference(resolution,[],[f8060,f5352]) ).
fof(f9929,plain,
( ! [X0] : ~ r1_tarski(sK1,k2_xboole_0(sK2,k4_xboole_0(X0,sK2)))
| spl65_5 ),
inference(forward_demodulation,[],[f9914,f5381]) ).
fof(f9930,plain,
( ! [X0] : ~ r1_tarski(sK1,k2_xboole_0(sK2,X0))
| spl65_5 ),
inference(forward_demodulation,[],[f9929,f5356]) ).
fof(f9931,plain,
( spl65_97
| spl65_5 ),
inference(avatar_split_clause,[],[f9930,f5536,f8415]) ).
fof(f9953,plain,
( ! [X0] : ~ r1_tarski(sK1,X0)
| ~ spl65_97 ),
inference(resolution,[],[f8416,f5372]) ).
fof(f10012,plain,
( $false
| ~ spl65_97 ),
inference(resolution,[],[f9953,f5440]) ).
fof(f10031,plain,
~ spl65_97,
inference(avatar_contradiction_clause,[],[f10012]) ).
cnf(s3,plain,
( ~ spl65_2
| ~ spl65_5 ),
inference(sat_conversion,[],[f5538]) ).
cnf(s6,plain,
spl65_2,
inference(sat_conversion,[],[f5556]) ).
cnf(s168,plain,
( spl65_5
| spl65_97 ),
inference(sat_conversion,[],[f9931]) ).
cnf(s174,plain,
~ spl65_97,
inference(sat_conversion,[],[f10031]) ).
cnf(s175,plain,
spl65_5,
inference(rat,[],[s168,s174]) ).
cnf(s212,plain,
$false,
inference(rat,[],[s3,s175,s6]) ).
fof(f10032,plain,
$false,
inference(avatar_sat_refutation,[],[s212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU418+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/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 05:15:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.92/2.48 % (827447)Detected formulas, will run a generic FOF schedule.
% 9.92/2.48 % (827457)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2422237076:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 9.92/2.48 % (827454)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=1372364298:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 9.92/2.48 % (827452)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=2848425326:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 9.92/2.48 % (827458)dis-21_1_sil=8000:lcm=predicate:random_seed=1070072056: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)
% 9.92/2.48 % (827455)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2211543303:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 9.92/2.48 % (827453)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=4219437036:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 9.92/2.48 % (827456)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3494532410:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 9.92/2.48 % (827457)Instruction limit reached!
% 9.92/2.48 % (827457)------------------------------
% 9.92/2.48 % (827457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827457)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827457)Termination reason: Instruction limit
% 9.92/2.48 % (827457)Termination phase: Preprocessing 3
% 9.92/2.48 % (827457)Time elapsed: 0.051 s
% 9.92/2.48 % (827457)Peak memory usage: 95 MB
% 9.92/2.48 % (827457)Instructions burned: 141 (million)
% 9.92/2.48 % (827458)Instruction limit reached!
% 9.92/2.48 % (827458)------------------------------
% 9.92/2.48 % (827458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827458)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827458)Termination reason: Instruction limit
% 9.92/2.48 % (827458)Termination phase: Property scanning
% 9.92/2.48 % (827458)Time elapsed: 0.063 s
% 9.92/2.48 % (827458)Peak memory usage: 94 MB
% 9.92/2.48 % (827458)Instructions burned: 131 (million)
% 9.92/2.48 % (827455)Instruction limit reached!
% 9.92/2.48 % (827455)------------------------------
% 9.92/2.48 % (827455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827455)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827455)Termination reason: Instruction limit
% 9.92/2.48 % (827455)Termination phase: Saturation
% 9.92/2.48 % (827455)Time elapsed: 0.073 s
% 9.92/2.48 % (827455)Peak memory usage: 94 MB
% 9.92/2.48 % (827455)Instructions burned: 110 (million)
% 9.92/2.48 % (827456)Instruction limit reached!
% 9.92/2.48 % (827456)------------------------------
% 9.92/2.48 % (827456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827456)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827456)Termination reason: Instruction limit
% 9.92/2.48 % (827456)Termination phase: Saturation
% 9.92/2.48 % (827456)Time elapsed: 0.082 s
% 9.92/2.48 % (827456)Peak memory usage: 93 MB
% 9.92/2.48 % (827456)Instructions burned: 119 (million)
% 9.92/2.48 % (827466)lrs+10_1_sil=8000:sp=occurrence:random_seed=2337239946:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.92/2.48 % (827467)lrs+10_1_sil=32000:urr=on:br=off:random_seed=702654830:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 9.92/2.48 % (827468)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2994612452:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.92/2.48 % (827469)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=2693152081:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.92/2.48 % (827467)Instruction limit reached!
% 9.92/2.48 % (827467)------------------------------
% 9.92/2.48 % (827467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827467)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827467)Termination reason: Instruction limit
% 9.92/2.48 % (827467)Termination phase: Saturation
% 9.92/2.48 % (827467)Time elapsed: 0.084 s
% 9.92/2.48 % (827467)Peak memory usage: 95 MB
% 9.92/2.48 % (827467)Instructions burned: 158 (million)
% 9.92/2.48 % (827466)Instruction limit reached!
% 9.92/2.48 % (827466)------------------------------
% 9.92/2.48 % (827466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827466)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827466)Termination reason: Instruction limit
% 9.92/2.48 % (827466)Termination phase: Saturation
% 9.92/2.48 % (827466)Time elapsed: 0.197 s
% 9.92/2.48 % (827466)Peak memory usage: 96 MB
% 9.92/2.48 % (827466)Instructions burned: 285 (million)
% 9.92/2.48 % (827469)Instruction limit reached!
% 9.92/2.48 % (827469)------------------------------
% 9.92/2.48 % (827469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827469)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827469)Termination reason: Instruction limit
% 9.92/2.48 % (827469)Termination phase: Property scanning
% 9.92/2.48 % (827469)Time elapsed: 0.141 s
% 9.92/2.48 % (827469)Peak memory usage: 98 MB
% 9.92/2.48 % (827469)Instructions burned: 250 (million)
% 9.92/2.48 % (827468)Instruction limit reached!
% 9.92/2.48 % (827468)------------------------------
% 9.92/2.48 % (827468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827468)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827468)Termination reason: Instruction limit
% 9.92/2.48 % (827468)Termination phase: Saturation
% 9.92/2.48 % (827468)Time elapsed: 0.219 s
% 9.92/2.48 % (827468)Peak memory usage: 97 MB
% 9.92/2.48 % (827468)Instructions burned: 326 (million)
% 9.92/2.48 % (827474)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3605165030:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 9.92/2.48 % (827476)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=595925606:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 9.92/2.48 % (827475)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3892673326:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 9.92/2.48 % (827476)Instruction limit reached!
% 9.92/2.48 % (827476)------------------------------
% 9.92/2.48 % (827476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827476)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827476)Termination reason: Instruction limit
% 9.92/2.48 % (827476)Termination phase: Saturation
% 9.92/2.48 % (827476)Time elapsed: 0.066 s
% 9.92/2.48 % (827476)Peak memory usage: 94 MB
% 9.92/2.48 % (827476)Instructions burned: 113 (million)
% 9.92/2.48 % (827477)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3775600564:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.92/2.48 % (827474)Instruction limit reached!
% 9.92/2.48 % (827474)------------------------------
% 9.92/2.48 % (827474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827474)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827474)Termination reason: Instruction limit
% 9.92/2.48 % (827474)Termination phase: Saturation
% 9.92/2.48 % (827474)Time elapsed: 0.180 s
% 9.92/2.48 % (827474)Peak memory usage: 97 MB
% 9.92/2.48 % (827474)Instructions burned: 295 (million)
% 9.92/2.48 % (827477)Instruction limit reached!
% 9.92/2.48 % (827477)------------------------------
% 9.92/2.48 % (827477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827477)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827477)Termination reason: Instruction limit
% 9.92/2.48 % (827477)Termination phase: Preprocessing 3
% 9.92/2.48 % (827477)Time elapsed: 0.084 s
% 9.92/2.48 % (827477)Peak memory usage: 97 MB
% 9.92/2.48 % (827477)Instructions burned: 128 (million)
% 9.92/2.48 % (827481)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2185276645:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 9.92/2.48 % (827483)lrs+10_1_sil=8000:sp=occurrence:random_seed=2241606796:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.92/2.48 % (827481)Instruction limit reached!
% 9.92/2.48 % (827481)------------------------------
% 9.92/2.48 % (827481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.48 % (827481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.48 % (827481)CaDiCaL version: 2.1.3
% 9.92/2.48 % (827481)Termination reason: Instruction limit
% 9.92/2.48 % (827481)Termination phase: SInE selection
% 9.92/2.48 % (827481)Time elapsed: 0.054 s
% 9.92/2.48 % (827481)Peak memory usage: 89 MB
% 9.92/2.48 % (827481)Instructions burned: 114 (million)
% 9.92/2.48 % (827484)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1986110473:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 9.92/2.48 % (827487)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=27319480:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 9.92/2.48 % (827484)First to succeed.
% 9.92/2.48 % (827484)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-827447"
% 9.92/2.48 % (827484)Refutation found. Thanks to Tanya!
% 9.92/2.48 % SZS status Theorem for theBenchmark
% 9.92/2.48 % SZS output start Proof for theBenchmark
% See solution above
% 10.97/2.67 % (827484)------------------------------
% 10.97/2.67 % (827484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.97/2.67 % (827484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.97/2.67 % (827484)CaDiCaL version: 2.1.3
% 10.97/2.67 % (827484)Termination reason: Refutation
% 10.97/2.67 % (827484)Time elapsed: 0.164 s
% 10.97/2.67 % (827484)Peak memory usage: 97 MB
% 10.97/2.67 % (827484)Instructions burned: 250 (million)
% 10.97/2.67 % (827484)------------------------------
% 10.97/2.67 % (827484)------------------------------
% 10.97/2.67 % (827447)Success in time 1.621 s
% 10.97/2.67 % Vampire exiting
%------------------------------------------------------------------------------