%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU417+1 : 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 12:48:51 PM UTC 2026
% Result : Theorem 0.58s 1.02s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 16 unt; 0 def)
% Number of atoms : 162 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 203 ( 103 ~; 80 |; 8 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 98 ( 95 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f16,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f17,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_setfam_1) ).
fof(f26,axiom,
! [X0,X1] : k2_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(f35,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
=> k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_relset_2) ).
fof(f37,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f41,axiom,
! [X0,X1,X2] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_xboole_1) ).
fof(f44,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f46,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( r1_tarski(X1,X2)
=> r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_setfam_1) ).
fof(f53,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(rectify,[],[f26]) ).
fof(f55,plain,
? [X0,X1] :
( ? [X2] :
( ~ r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2)))
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f58,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f46]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f17]) ).
fof(f61,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f62,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f61]) ).
fof(f65,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f66,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f65]) ).
fof(f69,plain,
! [X0,X1,X2] :
( k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f35]) ).
fof(f70,plain,
! [X0,X1,X2] :
( k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f69]) ).
fof(f92,plain,
( ~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2)))
& m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
& m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f55]) ).
fof(f94,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f99,plain,
m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f92]) ).
fof(f100,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f92]) ).
fof(f101,plain,
~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f92]) ).
fof(f104,plain,
! [X2,X0,X1] :
( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f59]) ).
fof(f105,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f60]) ).
fof(f106,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f107,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f108,plain,
! [X2,X0,X1] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f41]) ).
fof(f110,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f112,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f114,plain,
! [X2,X0,X1] :
( k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f70]) ).
fof(f122,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f53]) ).
fof(f127,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f7]) ).
fof(f146,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(superposition,[],[f108,f122]) ).
fof(f153,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X1),
inference(superposition,[],[f146,f127]) ).
fof(f191,plain,
! [X2,X0,X1] :
( r1_tarski(k5_subset_1(X1,X0,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(resolution,[],[f112,f106]) ).
fof(f200,plain,
( ~ r1_tarski(k3_xboole_0(k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2)))
| ~ m1_subset_1(k8_setfam_1(sK0,sK1),k1_zfmisc_1(sK0))
| ~ m1_subset_1(k8_setfam_1(sK0,sK2),k1_zfmisc_1(sK0)) ),
inference(superposition,[],[f101,f110]) ).
fof(f202,plain,
! [X2,X0,X1] :
( r1_tarski(k3_xboole_0(X0,X1),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(superposition,[],[f191,f110]) ).
fof(f205,plain,
! [X2,X0,X1] :
( r1_tarski(k3_xboole_0(X0,X1),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2)) ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f208,plain,
( ~ m1_subset_1(k8_setfam_1(sK0,sK2),k1_zfmisc_1(k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))))
| ~ m1_subset_1(k8_setfam_1(sK0,sK1),k1_zfmisc_1(k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))))
| ~ m1_subset_1(k8_setfam_1(sK0,sK1),k1_zfmisc_1(sK0))
| ~ m1_subset_1(k8_setfam_1(sK0,sK2),k1_zfmisc_1(sK0)) ),
inference(resolution,[],[f205,f200]) ).
fof(f213,plain,
( ~ m1_subset_1(k8_setfam_1(sK0,sK1),k1_zfmisc_1(k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))))
| ~ m1_subset_1(k8_setfam_1(sK0,sK1),k1_zfmisc_1(sK0))
| ~ m1_subset_1(k8_setfam_1(sK0,sK2),k1_zfmisc_1(sK0))
| ~ r1_tarski(k8_setfam_1(sK0,sK2),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))) ),
inference(resolution,[],[f208,f107]) ).
fof(f220,plain,
( ~ r1_tarski(k8_setfam_1(sK0,sK2),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2)))
| ~ m1_subset_1(k8_setfam_1(sK0,sK2),k1_zfmisc_1(sK0))
| ~ m1_subset_1(k8_setfam_1(sK0,sK1),k1_zfmisc_1(sK0))
| ~ r1_tarski(k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))) ),
inference(resolution,[],[f213,f107]) ).
fof(f262,plain,
( ~ r1_tarski(k8_setfam_1(sK0,sK2),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
| ~ m1_subset_1(k8_setfam_1(sK0,sK2),k1_zfmisc_1(sK0))
| ~ m1_subset_1(k8_setfam_1(sK0,sK1),k1_zfmisc_1(sK0))
| ~ r1_tarski(k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(superposition,[],[f220,f114]) ).
fof(f274,plain,
( ~ r1_tarski(k8_setfam_1(sK0,sK2),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
| ~ m1_subset_1(k8_setfam_1(sK0,sK1),k1_zfmisc_1(sK0))
| ~ r1_tarski(k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(forward_subsumption_resolution,[],[f262,f105]) ).
fof(f279,plain,
( ~ r1_tarski(k8_setfam_1(sK0,sK2),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
| ~ r1_tarski(k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(forward_subsumption_resolution,[],[f274,f105]) ).
fof(f283,plain,
( ~ r1_tarski(k8_setfam_1(sK0,sK2),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
| ~ r1_tarski(k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(forward_subsumption_resolution,[],[f279,f99]) ).
fof(f287,plain,
( ~ r1_tarski(k8_setfam_1(sK0,sK2),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
| ~ r1_tarski(k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2))) ),
inference(forward_subsumption_resolution,[],[f283,f100]) ).
fof(f310,plain,
( ~ r1_tarski(k3_xboole_0(sK1,sK2),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ r1_tarski(k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2))) ),
inference(resolution,[],[f104,f287]) ).
fof(f311,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ r1_tarski(k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2))) ),
inference(forward_subsumption_resolution,[],[f310,f153]) ).
fof(f313,plain,
( ~ r1_tarski(k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2)))
| ~ m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(forward_subsumption_resolution,[],[f311,f100]) ).
fof(f314,plain,
( ~ m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ r1_tarski(k3_xboole_0(sK1,sK2),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(resolution,[],[f313,f104]) ).
fof(f315,plain,
( ~ m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ r1_tarski(k3_xboole_0(sK1,sK2),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(duplicate_literal_removal,[],[f314]) ).
fof(f316,plain,
( ~ m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(forward_subsumption_resolution,[],[f315,f146]) ).
fof(f317,plain,
~ m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(forward_subsumption_resolution,[],[f316,f99]) ).
fof(f319,plain,
~ r1_tarski(k3_xboole_0(sK1,sK2),k1_zfmisc_1(sK0)),
inference(resolution,[],[f317,f107]) ).
fof(f320,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(resolution,[],[f319,f205]) ).
fof(f321,plain,
~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(forward_subsumption_resolution,[],[f320,f100]) ).
fof(f322,plain,
$false,
inference(forward_subsumption_resolution,[],[f321,f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU417+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.36 % Computer : n013.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8046.5625MB
% 0.13/0.36 % OS : Linux 6.8.0-71-generic
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Sep 28 05:15:36 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.39 Running first-order theorem proving
% 0.16/0.39 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
% 0.58/1.02 % (826792)Detected formulas, will run a generic FOF schedule.
% 0.58/1.02 % (826802)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2236669735:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.58/1.02 % (826799)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=3649889013:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.58/1.02 % (826801)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2145842523:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.58/1.02 % (826797)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=4192078227:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.58/1.02 % (826798)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=2594896704:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.58/1.02 % (826800)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1286698066:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.58/1.02 % (826803)dis-21_1_sil=8000:lcm=predicate:random_seed=2450680385:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.58/1.02 % (826800)Refutation not found, incomplete strategy
% 0.58/1.02 % (826800)------------------------------
% 0.58/1.02 % (826800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.58/1.02 % (826800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/1.02 % (826800)CaDiCaL version: 2.1.3
% 0.58/1.02 % (826800)Termination reason: Refutation not found, incomplete strategy
% 0.58/1.02 % (826800)Time elapsed: 0.003 s
% 0.58/1.02 % (826800)Peak memory usage: 89 MB
% 0.58/1.02 % (826800)Instructions burned: 3 (million)
% 0.58/1.02 % (826801)First to succeed.
% 0.58/1.02 % (826802)Also succeeded, but the first one will report.
% 0.58/1.02 % (826801)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-826792"
% 0.58/1.02 % (826803)Instruction limit reached!
% 0.58/1.02 % (826803)------------------------------
% 0.58/1.02 % (826803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.58/1.02 % (826803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/1.02 % (826803)CaDiCaL version: 2.1.3
% 0.58/1.02 % (826803)Termination reason: Instruction limit
% 0.58/1.02 % (826803)Termination phase: Saturation
% 0.58/1.02 % (826803)Time elapsed: 0.072 s
% 0.58/1.02 % (826803)Peak memory usage: 89 MB
% 0.58/1.02 % (826803)Instructions burned: 130 (million)
% 0.58/1.02 % (826811)lrs+10_1_sil=8000:sp=occurrence:random_seed=2155353086:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 0.58/1.02 % (826800)------------------------------
% 0.58/1.02 % (826800)------------------------------
% 0.58/1.02 % (826801)Refutation found. Thanks to Tanya!
% 0.58/1.02 % SZS status Theorem for theBenchmark
% 0.58/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.22 % (826801)------------------------------
% 3.44/1.22 % (826801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.22 % (826801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.22 % (826801)CaDiCaL version: 2.1.3
% 3.44/1.22 % (826801)Termination reason: Refutation
% 3.44/1.22 % (826801)Time elapsed: 0.008 s
% 3.44/1.22 % (826801)Peak memory usage: 89 MB
% 3.44/1.22 % (826801)Instructions burned: 12 (million)
% 3.44/1.22 % (826801)------------------------------
% 3.44/1.22 % (826801)------------------------------
% 3.44/1.22 % (826792)Success in time 0.423 s
% 3.44/1.22 % Vampire exiting
%------------------------------------------------------------------------------