%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU416+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 84.52s 22.24s
% Output : Refutation 108.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 41
% Syntax : Number of formulae : 172 ( 96 unt; 24 def)
% Number of atoms : 332 ( 138 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 310 ( 150 ~; 142 |; 1 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 96 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f63,axiom,
! [X0] : k3_xboole_0(X0,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).
fof(f64,axiom,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).
fof(f108,axiom,
! [X0,X1] : k2_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f109,axiom,
! [X0,X1] : k4_xboole_0(k2_xboole_0(X0,X1),X1) = k4_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(f116,axiom,
! [X0,X1] : k4_xboole_0(X0,k3_xboole_0(X0,X1)) = k4_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_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/sandbox2/benchmark/theBenchmark.p',t52_xboole_1) ).
fof(f123,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k3_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_xboole_1) ).
fof(f5328,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).
fof(f37288,axiom,
! [X0] : k3_pua2mss1(X0) = k8_eqrel_1(X0,k6_partfun1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_pua2mss1) ).
fof(f71080,axiom,
! [X0] :
( X0 = k1_xboole_0
<=> k3_pua2mss1(X0) = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_relset_2) ).
fof(f71081,axiom,
! [X0,X1] : k3_pua2mss1(k2_xboole_0(X0,X1)) = k2_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_relset_2) ).
fof(f71082,axiom,
! [X0,X1] : k3_pua2mss1(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_relset_2) ).
fof(f71083,conjecture,
! [X0,X1] : k3_pua2mss1(k4_xboole_0(X0,X1)) = k4_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_relset_2) ).
fof(f71084,negated_conjecture,
~ ! [X0,X1] : k3_pua2mss1(k4_xboole_0(X0,X1)) = k4_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
inference(negated_conjecture,[status(cth)],[f71083]) ).
fof(f71135,plain,
? [X0,X1] : k3_pua2mss1(k4_xboole_0(X0,X1)) != k4_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
inference(ennf_transformation,[],[f71084]) ).
fof(f71638,plain,
! [X0] :
( ( X0 = k1_xboole_0
| k1_xboole_0 != k3_pua2mss1(X0) )
& ( k3_pua2mss1(X0) = k1_xboole_0
| k1_xboole_0 != X0 ) ),
inference(nnf_transformation,[],[f71080]) ).
fof(f71639,plain,
k3_pua2mss1(k4_xboole_0(sK7,sK8)) != k4_xboole_0(k3_pua2mss1(sK7),k3_pua2mss1(sK8)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f71135]) ).
fof(f71821,plain,
! [X0] :
( k1_xboole_0 = k3_pua2mss1(X0)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f71638]) ).
fof(f71823,plain,
! [X0,X1] : k3_pua2mss1(k2_xboole_0(X0,X1)) = k2_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
inference(cnf_transformation,[],[f71081]) ).
fof(f71824,plain,
! [X0,X1] : k3_pua2mss1(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
inference(cnf_transformation,[],[f71082]) ).
fof(f71825,plain,
k3_pua2mss1(k4_xboole_0(sK7,sK8)) != k4_xboole_0(k3_pua2mss1(sK7),k3_pua2mss1(sK8)),
inference(cnf_transformation,[],[f71639]) ).
fof(f71933,plain,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f63]) ).
fof(f71935,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f72274,plain,
! [X0] : k3_pua2mss1(X0) = k8_eqrel_1(X0,k6_partfun1(X0)),
inference(cnf_transformation,[],[f37288]) ).
fof(f72294,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f5328]) ).
fof(f72418,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f72534,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k3_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f123]) ).
fof(f72536,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(f72540,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f72541,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k3_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f116]) ).
fof(f72548,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k2_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f109]) ).
fof(f72549,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f108]) ).
fof(f72559,plain,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f64]) ).
fof(f72571,plain,
! [X0] :
( np__0 = k8_eqrel_1(X0,k6_partfun1(X0))
| np__0 != X0 ),
inference(definition_unfolding,[],[f71821,f72294,f72274,f72294]) ).
fof(f72572,plain,
! [X0,X1] : k8_eqrel_1(k2_xboole_0(X0,X1),k6_partfun1(k2_xboole_0(X0,X1))) = k2_xboole_0(k8_eqrel_1(X0,k6_partfun1(X0)),k8_eqrel_1(X1,k6_partfun1(X1))),
inference(definition_unfolding,[],[f71823,f72274,f72274,f72274]) ).
fof(f72573,plain,
! [X0,X1] : k8_eqrel_1(k4_xboole_0(X0,k4_xboole_0(X0,X1)),k6_partfun1(k4_xboole_0(X0,k4_xboole_0(X0,X1)))) = k4_xboole_0(k8_eqrel_1(X0,k6_partfun1(X0)),k4_xboole_0(k8_eqrel_1(X0,k6_partfun1(X0)),k8_eqrel_1(X1,k6_partfun1(X1)))),
inference(definition_unfolding,[],[f71824,f72274,f72540,f72540,f72274,f72274]) ).
fof(f72574,plain,
k8_eqrel_1(k4_xboole_0(sK7,sK8),k6_partfun1(k4_xboole_0(sK7,sK8))) != k4_xboole_0(k8_eqrel_1(sK7,k6_partfun1(sK7)),k8_eqrel_1(sK8,k6_partfun1(sK8))),
inference(definition_unfolding,[],[f71825,f72274,f72274,f72274]) ).
fof(f72671,plain,
! [X0] : np__0 = k4_xboole_0(X0,k4_xboole_0(X0,np__0)),
inference(definition_unfolding,[],[f71933,f72294,f72540,f72294]) ).
fof(f72673,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f71935,f72540,f72540]) ).
fof(f72823,plain,
! [X2,X0,X1] : k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,X2)) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2))),
inference(definition_unfolding,[],[f72534,f72540]) ).
fof(f72825,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k4_xboole_0(X0,k4_xboole_0(X0,X2))),
inference(definition_unfolding,[],[f72536,f72540]) ).
fof(f72829,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(definition_unfolding,[],[f72541,f72540]) ).
fof(f72835,plain,
! [X0] : k4_xboole_0(X0,np__0) = X0,
inference(definition_unfolding,[],[f72559,f72294]) ).
fof(f72837,plain,
np__0 = k8_eqrel_1(np__0,k6_partfun1(np__0)),
inference(equality_resolution,[],[f72571]) ).
fof(f72901,definition,
sF103 = k4_xboole_0(sK7,sK8),
introduced(definition,[new_symbols(definition,[sF103])],[function_definition]) ).
fof(f72902,plain,
k4_xboole_0(sK7,sK8) = sF103,
inference(reorient_equations,[],[f72901]) ).
fof(f72903,definition,
sF104 = k6_partfun1(sF103),
introduced(definition,[new_symbols(definition,[sF104])],[function_definition]) ).
fof(f72904,plain,
k6_partfun1(sF103) = sF104,
inference(reorient_equations,[],[f72903]) ).
fof(f72905,definition,
sF105 = k8_eqrel_1(sF103,sF104),
introduced(definition,[new_symbols(definition,[sF105])],[function_definition]) ).
fof(f72906,plain,
k8_eqrel_1(sF103,sF104) = sF105,
inference(reorient_equations,[],[f72905]) ).
fof(f72907,definition,
sF106 = k6_partfun1(sK7),
introduced(definition,[new_symbols(definition,[sF106])],[function_definition]) ).
fof(f72908,plain,
k6_partfun1(sK7) = sF106,
inference(reorient_equations,[],[f72907]) ).
fof(f72909,definition,
sF107 = k8_eqrel_1(sK7,sF106),
introduced(definition,[new_symbols(definition,[sF107])],[function_definition]) ).
fof(f72910,plain,
k8_eqrel_1(sK7,sF106) = sF107,
inference(reorient_equations,[],[f72909]) ).
fof(f72911,definition,
sF108 = k6_partfun1(sK8),
introduced(definition,[new_symbols(definition,[sF108])],[function_definition]) ).
fof(f72912,plain,
k6_partfun1(sK8) = sF108,
inference(reorient_equations,[],[f72911]) ).
fof(f72913,definition,
sF109 = k8_eqrel_1(sK8,sF108),
introduced(definition,[new_symbols(definition,[sF109])],[function_definition]) ).
fof(f72914,plain,
k8_eqrel_1(sK8,sF108) = sF109,
inference(reorient_equations,[],[f72913]) ).
fof(f72915,definition,
sF110 = k4_xboole_0(sF107,sF109),
introduced(definition,[new_symbols(definition,[sF110])],[function_definition]) ).
fof(f72916,plain,
k4_xboole_0(sF107,sF109) = sF110,
inference(reorient_equations,[],[f72915]) ).
fof(f72917,plain,
sF105 != sF110,
inference(definition_folding,[],[f72574,f72916,f72914,f72912,f72910,f72908,f72906,f72904,f72902,f72902]) ).
fof(f73044,plain,
! [X0] : np__0 = k4_xboole_0(X0,X0),
inference(forward_demodulation,[],[f72671,f72835]) ).
fof(f73074,definition,
( spl111_21
<=> sF105 = sF110 ),
introduced(definition,[new_symbols(definition,[spl111_21])],[avatar_definition]) ).
fof(f73077,plain,
~ spl111_21,
inference(avatar_split_clause,[],[f72917,f73074]) ).
fof(f73079,definition,
( spl111_22
<=> np__0 = k8_eqrel_1(np__0,k6_partfun1(np__0)) ),
introduced(definition,[new_symbols(definition,[spl111_22])],[avatar_definition]) ).
fof(f73081,plain,
( np__0 = k8_eqrel_1(np__0,k6_partfun1(np__0))
| ~ spl111_22 ),
inference(avatar_component_clause,[],[f73079]) ).
fof(f73082,plain,
spl111_22,
inference(avatar_split_clause,[],[f72837,f73079]) ).
fof(f73084,definition,
( spl111_23
<=> k4_xboole_0(sK7,sK8) = sF103 ),
introduced(definition,[new_symbols(definition,[spl111_23])],[avatar_definition]) ).
fof(f73086,plain,
( k4_xboole_0(sK7,sK8) = sF103
| ~ spl111_23 ),
inference(avatar_component_clause,[],[f73084]) ).
fof(f73087,plain,
spl111_23,
inference(avatar_split_clause,[],[f72902,f73084]) ).
fof(f73089,definition,
( spl111_24
<=> k6_partfun1(sF103) = sF104 ),
introduced(definition,[new_symbols(definition,[spl111_24])],[avatar_definition]) ).
fof(f73091,plain,
( k6_partfun1(sF103) = sF104
| ~ spl111_24 ),
inference(avatar_component_clause,[],[f73089]) ).
fof(f73092,plain,
spl111_24,
inference(avatar_split_clause,[],[f72904,f73089]) ).
fof(f73094,definition,
( spl111_25
<=> k8_eqrel_1(sF103,sF104) = sF105 ),
introduced(definition,[new_symbols(definition,[spl111_25])],[avatar_definition]) ).
fof(f73096,plain,
( k8_eqrel_1(sF103,sF104) = sF105
| ~ spl111_25 ),
inference(avatar_component_clause,[],[f73094]) ).
fof(f73097,plain,
spl111_25,
inference(avatar_split_clause,[],[f72906,f73094]) ).
fof(f73099,definition,
( spl111_26
<=> k6_partfun1(sK7) = sF106 ),
introduced(definition,[new_symbols(definition,[spl111_26])],[avatar_definition]) ).
fof(f73101,plain,
( k6_partfun1(sK7) = sF106
| ~ spl111_26 ),
inference(avatar_component_clause,[],[f73099]) ).
fof(f73102,plain,
spl111_26,
inference(avatar_split_clause,[],[f72908,f73099]) ).
fof(f73104,definition,
( spl111_27
<=> k8_eqrel_1(sK7,sF106) = sF107 ),
introduced(definition,[new_symbols(definition,[spl111_27])],[avatar_definition]) ).
fof(f73106,plain,
( k8_eqrel_1(sK7,sF106) = sF107
| ~ spl111_27 ),
inference(avatar_component_clause,[],[f73104]) ).
fof(f73107,plain,
spl111_27,
inference(avatar_split_clause,[],[f72910,f73104]) ).
fof(f73109,definition,
( spl111_28
<=> k6_partfun1(sK8) = sF108 ),
introduced(definition,[new_symbols(definition,[spl111_28])],[avatar_definition]) ).
fof(f73111,plain,
( k6_partfun1(sK8) = sF108
| ~ spl111_28 ),
inference(avatar_component_clause,[],[f73109]) ).
fof(f73112,plain,
spl111_28,
inference(avatar_split_clause,[],[f72912,f73109]) ).
fof(f73114,definition,
( spl111_29
<=> k8_eqrel_1(sK8,sF108) = sF109 ),
introduced(definition,[new_symbols(definition,[spl111_29])],[avatar_definition]) ).
fof(f73116,plain,
( k8_eqrel_1(sK8,sF108) = sF109
| ~ spl111_29 ),
inference(avatar_component_clause,[],[f73114]) ).
fof(f73117,plain,
spl111_29,
inference(avatar_split_clause,[],[f72914,f73114]) ).
fof(f73119,definition,
( spl111_30
<=> k4_xboole_0(sF107,sF109) = sF110 ),
introduced(definition,[new_symbols(definition,[spl111_30])],[avatar_definition]) ).
fof(f73122,plain,
spl111_30,
inference(avatar_split_clause,[],[f72916,f73119]) ).
fof(f73149,plain,
( ! [X0] : k8_eqrel_1(k4_xboole_0(X0,k4_xboole_0(X0,sF103)),k6_partfun1(k4_xboole_0(X0,k4_xboole_0(X0,sF103)))) = k4_xboole_0(k8_eqrel_1(X0,k6_partfun1(X0)),k4_xboole_0(k8_eqrel_1(X0,k6_partfun1(X0)),k8_eqrel_1(sF103,sF104)))
| ~ spl111_24 ),
inference(superposition,[],[f72573,f73091]) ).
fof(f73156,plain,
( ! [X0] : k4_xboole_0(k8_eqrel_1(sF103,sF104),k4_xboole_0(k8_eqrel_1(sF103,sF104),k8_eqrel_1(X0,k6_partfun1(X0)))) = k8_eqrel_1(k4_xboole_0(X0,k4_xboole_0(X0,sF103)),k6_partfun1(k4_xboole_0(X0,k4_xboole_0(X0,sF103))))
| ~ spl111_24 ),
inference(forward_demodulation,[],[f73149,f72673]) ).
fof(f73162,plain,
( ! [X0] : k8_eqrel_1(k4_xboole_0(X0,k4_xboole_0(X0,sF103)),k6_partfun1(k4_xboole_0(X0,k4_xboole_0(X0,sF103)))) = k4_xboole_0(sF105,k4_xboole_0(sF105,k8_eqrel_1(X0,k6_partfun1(X0))))
| ~ spl111_24
| ~ spl111_25 ),
inference(forward_demodulation,[],[f73156,f73096]) ).
fof(f73278,plain,
! [X2,X0,X1] : k4_xboole_0(X1,k4_xboole_0(X2,X0)) = k2_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X0,k4_xboole_0(X0,X1))),
inference(superposition,[],[f72825,f72673]) ).
fof(f74062,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,k4_xboole_0(X0,X0)))),
inference(superposition,[],[f73278,f72823]) ).
fof(f74097,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = k4_xboole_0(X0,k4_xboole_0(X1,k4_xboole_0(X1,np__0))),
inference(forward_demodulation,[],[f74062,f73044]) ).
fof(f74138,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = k4_xboole_0(X0,k4_xboole_0(X1,X1)),
inference(forward_demodulation,[],[f74097,f72835]) ).
fof(f74163,plain,
! [X0,X1] : k4_xboole_0(X0,np__0) = k4_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(forward_demodulation,[],[f74138,f73044]) ).
fof(f74176,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X0)) = X0,
inference(forward_demodulation,[],[f74163,f72835]) ).
fof(f74198,plain,
( sK8 = k4_xboole_0(sK8,sF103)
| ~ spl111_23 ),
inference(superposition,[],[f74176,f73086]) ).
fof(f74264,definition,
( spl111_50
<=> sK8 = k4_xboole_0(sK8,sF103) ),
introduced(definition,[new_symbols(definition,[spl111_50])],[avatar_definition]) ).
fof(f74266,plain,
( sK8 = k4_xboole_0(sK8,sF103)
| ~ spl111_50 ),
inference(avatar_component_clause,[],[f74264]) ).
fof(f74267,plain,
( spl111_50
| ~ spl111_23 ),
inference(avatar_split_clause,[],[f74198,f73084,f74264]) ).
fof(f74303,plain,
( k8_eqrel_1(k4_xboole_0(sK8,sK8),k6_partfun1(k4_xboole_0(sK8,sK8))) = k4_xboole_0(sF105,k4_xboole_0(sF105,k8_eqrel_1(sK8,k6_partfun1(sK8))))
| ~ spl111_24
| ~ spl111_25
| ~ spl111_50 ),
inference(superposition,[],[f73162,f74266]) ).
fof(f74328,plain,
( k8_eqrel_1(k4_xboole_0(sK8,sK8),k6_partfun1(k4_xboole_0(sK8,sK8))) = k4_xboole_0(sF105,k4_xboole_0(sF105,k8_eqrel_1(sK8,sF108)))
| ~ spl111_24
| ~ spl111_25
| ~ spl111_28
| ~ spl111_50 ),
inference(forward_demodulation,[],[f74303,f73111]) ).
fof(f74334,plain,
( k8_eqrel_1(k4_xboole_0(sK8,sK8),k6_partfun1(k4_xboole_0(sK8,sK8))) = k4_xboole_0(sF105,k4_xboole_0(sF105,sF109))
| ~ spl111_24
| ~ spl111_25
| ~ spl111_28
| ~ spl111_29
| ~ spl111_50 ),
inference(forward_demodulation,[],[f74328,f73116]) ).
fof(f74338,plain,
( k8_eqrel_1(np__0,k6_partfun1(np__0)) = k4_xboole_0(sF105,k4_xboole_0(sF105,sF109))
| ~ spl111_24
| ~ spl111_25
| ~ spl111_28
| ~ spl111_29
| ~ spl111_50 ),
inference(forward_demodulation,[],[f74334,f73044]) ).
fof(f74340,plain,
( np__0 = k4_xboole_0(sF105,k4_xboole_0(sF105,sF109))
| ~ spl111_22
| ~ spl111_24
| ~ spl111_25
| ~ spl111_28
| ~ spl111_29
| ~ spl111_50 ),
inference(forward_demodulation,[],[f74338,f73081]) ).
fof(f74343,definition,
( spl111_52
<=> np__0 = k4_xboole_0(sF105,k4_xboole_0(sF105,sF109)) ),
introduced(definition,[new_symbols(definition,[spl111_52])],[avatar_definition]) ).
fof(f74345,plain,
( np__0 = k4_xboole_0(sF105,k4_xboole_0(sF105,sF109))
| ~ spl111_52 ),
inference(avatar_component_clause,[],[f74343]) ).
fof(f74346,plain,
( spl111_52
| ~ spl111_22
| ~ spl111_24
| ~ spl111_25
| ~ spl111_28
| ~ spl111_29
| ~ spl111_50 ),
inference(avatar_split_clause,[],[f74340,f74264,f73114,f73109,f73094,f73089,f73079,f74343]) ).
fof(f75563,plain,
( ! [X0] : k8_eqrel_1(k2_xboole_0(sK8,X0),k6_partfun1(k2_xboole_0(sK8,X0))) = k2_xboole_0(k8_eqrel_1(sK8,sF108),k8_eqrel_1(X0,k6_partfun1(X0)))
| ~ spl111_28 ),
inference(superposition,[],[f72572,f73111]) ).
fof(f75574,plain,
( ! [X0] : k8_eqrel_1(k2_xboole_0(X0,sK8),k6_partfun1(k2_xboole_0(X0,sK8))) = k2_xboole_0(k8_eqrel_1(X0,k6_partfun1(X0)),k8_eqrel_1(sK8,sF108))
| ~ spl111_28 ),
inference(superposition,[],[f72572,f73111]) ).
fof(f75594,plain,
( ! [X0] : k8_eqrel_1(k2_xboole_0(X0,sK8),k6_partfun1(k2_xboole_0(X0,sK8))) = k2_xboole_0(k8_eqrel_1(sK8,sF108),k8_eqrel_1(X0,k6_partfun1(X0)))
| ~ spl111_28 ),
inference(forward_demodulation,[],[f75574,f72418]) ).
fof(f75598,plain,
( ! [X0] : k8_eqrel_1(k2_xboole_0(sK8,X0),k6_partfun1(k2_xboole_0(sK8,X0))) = k2_xboole_0(sF109,k8_eqrel_1(X0,k6_partfun1(X0)))
| ~ spl111_28
| ~ spl111_29 ),
inference(forward_demodulation,[],[f75563,f73116]) ).
fof(f75602,plain,
( ! [X0] : k8_eqrel_1(k2_xboole_0(X0,sK8),k6_partfun1(k2_xboole_0(X0,sK8))) = k2_xboole_0(sF109,k8_eqrel_1(X0,k6_partfun1(X0)))
| ~ spl111_28
| ~ spl111_29 ),
inference(forward_demodulation,[],[f75594,f73116]) ).
fof(f75616,plain,
( k2_xboole_0(sK8,sF103) = k2_xboole_0(sK8,sK7)
| ~ spl111_23 ),
inference(superposition,[],[f72549,f73086]) ).
fof(f75656,plain,
( k2_xboole_0(sK7,sK8) = k2_xboole_0(sK8,sF103)
| ~ spl111_23 ),
inference(forward_demodulation,[],[f75616,f72418]) ).
fof(f75684,definition,
( spl111_70
<=> k2_xboole_0(sK7,sK8) = k2_xboole_0(sK8,sF103) ),
introduced(definition,[new_symbols(definition,[spl111_70])],[avatar_definition]) ).
fof(f75686,plain,
( k2_xboole_0(sK7,sK8) = k2_xboole_0(sK8,sF103)
| ~ spl111_70 ),
inference(avatar_component_clause,[],[f75684]) ).
fof(f75687,plain,
( spl111_70
| ~ spl111_23 ),
inference(avatar_split_clause,[],[f75656,f73084,f75684]) ).
fof(f75868,plain,
( k4_xboole_0(sF105,np__0) = k4_xboole_0(sF105,sF109)
| ~ spl111_52 ),
inference(superposition,[],[f72829,f74345]) ).
fof(f75900,plain,
( sF105 = k4_xboole_0(sF105,sF109)
| ~ spl111_52 ),
inference(forward_demodulation,[],[f75868,f72835]) ).
fof(f75918,definition,
( spl111_77
<=> sF105 = k4_xboole_0(sF105,sF109) ),
introduced(definition,[new_symbols(definition,[spl111_77])],[avatar_definition]) ).
fof(f75920,plain,
( sF105 = k4_xboole_0(sF105,sF109)
| ~ spl111_77 ),
inference(avatar_component_clause,[],[f75918]) ).
fof(f75921,plain,
( spl111_77
| ~ spl111_52 ),
inference(avatar_split_clause,[],[f75900,f74343,f75918]) ).
fof(f76944,plain,
( k2_xboole_0(sF109,k8_eqrel_1(sF103,k6_partfun1(sF103))) = k8_eqrel_1(k2_xboole_0(sK7,sK8),k6_partfun1(k2_xboole_0(sK7,sK8)))
| ~ spl111_28
| ~ spl111_29
| ~ spl111_70 ),
inference(superposition,[],[f75598,f75686]) ).
fof(f76953,plain,
( k2_xboole_0(sF109,k8_eqrel_1(sF103,k6_partfun1(sF103))) = k2_xboole_0(sF109,k8_eqrel_1(sK7,k6_partfun1(sK7)))
| ~ spl111_28
| ~ spl111_29
| ~ spl111_70 ),
inference(forward_demodulation,[],[f76944,f75602]) ).
fof(f76959,plain,
( k2_xboole_0(sF109,k8_eqrel_1(sF103,k6_partfun1(sF103))) = k2_xboole_0(sF109,k8_eqrel_1(sK7,sF106))
| ~ spl111_26
| ~ spl111_28
| ~ spl111_29
| ~ spl111_70 ),
inference(forward_demodulation,[],[f76953,f73101]) ).
fof(f76964,plain,
( k2_xboole_0(sF109,sF107) = k2_xboole_0(sF109,k8_eqrel_1(sF103,k6_partfun1(sF103)))
| ~ spl111_26
| ~ spl111_27
| ~ spl111_28
| ~ spl111_29
| ~ spl111_70 ),
inference(forward_demodulation,[],[f76959,f73106]) ).
fof(f76968,plain,
( k2_xboole_0(sF109,sF107) = k2_xboole_0(sF109,k8_eqrel_1(sF103,sF104))
| ~ spl111_24
| ~ spl111_26
| ~ spl111_27
| ~ spl111_28
| ~ spl111_29
| ~ spl111_70 ),
inference(forward_demodulation,[],[f76964,f73091]) ).
fof(f76970,plain,
( k2_xboole_0(sF109,sF107) = k2_xboole_0(sF109,sF105)
| ~ spl111_24
| ~ spl111_25
| ~ spl111_26
| ~ spl111_27
| ~ spl111_28
| ~ spl111_29
| ~ spl111_70 ),
inference(forward_demodulation,[],[f76968,f73096]) ).
fof(f76971,plain,
( k2_xboole_0(sF109,sF107) = k2_xboole_0(sF105,sF109)
| ~ spl111_24
| ~ spl111_25
| ~ spl111_26
| ~ spl111_27
| ~ spl111_28
| ~ spl111_29
| ~ spl111_70 ),
inference(forward_demodulation,[],[f76970,f72418]) ).
fof(f76972,plain,
( k2_xboole_0(sF107,sF109) = k2_xboole_0(sF105,sF109)
| ~ spl111_24
| ~ spl111_25
| ~ spl111_26
| ~ spl111_27
| ~ spl111_28
| ~ spl111_29
| ~ spl111_70 ),
inference(forward_demodulation,[],[f76971,f72418]) ).
fof(f76974,definition,
( spl111_98
<=> k2_xboole_0(sF107,sF109) = k2_xboole_0(sF105,sF109) ),
introduced(definition,[new_symbols(definition,[spl111_98])],[avatar_definition]) ).
fof(f76976,plain,
( k2_xboole_0(sF107,sF109) = k2_xboole_0(sF105,sF109)
| ~ spl111_98 ),
inference(avatar_component_clause,[],[f76974]) ).
fof(f76977,plain,
( spl111_98
| ~ spl111_24
| ~ spl111_25
| ~ spl111_26
| ~ spl111_27
| ~ spl111_28
| ~ spl111_29
| ~ spl111_70 ),
inference(avatar_split_clause,[],[f76972,f75684,f73114,f73109,f73104,f73099,f73094,f73089,f76974]) ).
fof(f76980,plain,
( k4_xboole_0(sF107,sF109) = k4_xboole_0(k2_xboole_0(sF105,sF109),sF109)
| ~ spl111_98 ),
inference(superposition,[],[f72548,f76976]) ).
fof(f76984,plain,
( k4_xboole_0(sF107,sF109) = k4_xboole_0(sF105,sF109)
| ~ spl111_98 ),
inference(forward_demodulation,[],[f76980,f72548]) ).
fof(f76995,plain,
( sF105 = k4_xboole_0(sF107,sF109)
| ~ spl111_77
| ~ spl111_98 ),
inference(forward_demodulation,[],[f76984,f75920]) ).
fof(f76997,definition,
( spl111_101
<=> sF105 = k4_xboole_0(sF107,sF109) ),
introduced(definition,[new_symbols(definition,[spl111_101])],[avatar_definition]) ).
fof(f77000,plain,
( spl111_101
| ~ spl111_77
| ~ spl111_98 ),
inference(avatar_split_clause,[],[f76995,f76974,f75918,f76997]) ).
fof(f77001,plain,
( sF105 != k4_xboole_0(sF107,sF109)
| k4_xboole_0(sF107,sF109) != sF110
| sF105 = sF110 ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
cnf(s24,plain,
~ spl111_21,
inference(sat_conversion,[],[f73077]) ).
cnf(s25,plain,
spl111_22,
inference(sat_conversion,[],[f73082]) ).
cnf(s26,plain,
spl111_23,
inference(sat_conversion,[],[f73087]) ).
cnf(s27,plain,
spl111_24,
inference(sat_conversion,[],[f73092]) ).
cnf(s28,plain,
spl111_25,
inference(sat_conversion,[],[f73097]) ).
cnf(s29,plain,
spl111_26,
inference(sat_conversion,[],[f73102]) ).
cnf(s30,plain,
spl111_27,
inference(sat_conversion,[],[f73107]) ).
cnf(s31,plain,
spl111_28,
inference(sat_conversion,[],[f73112]) ).
cnf(s32,plain,
spl111_29,
inference(sat_conversion,[],[f73117]) ).
cnf(s33,plain,
spl111_30,
inference(sat_conversion,[],[f73122]) ).
cnf(s58,plain,
( ~ spl111_23
| spl111_50 ),
inference(sat_conversion,[],[f74267]) ).
cnf(s60,plain,
( ~ spl111_22
| ~ spl111_24
| ~ spl111_25
| ~ spl111_28
| ~ spl111_29
| ~ spl111_50
| spl111_52 ),
inference(sat_conversion,[],[f74346]) ).
cnf(s82,plain,
( ~ spl111_23
| spl111_70 ),
inference(sat_conversion,[],[f75687]) ).
cnf(s89,plain,
( ~ spl111_52
| spl111_77 ),
inference(sat_conversion,[],[f75921]) ).
cnf(s120,plain,
( ~ spl111_24
| ~ spl111_25
| ~ spl111_26
| ~ spl111_27
| ~ spl111_28
| ~ spl111_29
| ~ spl111_70
| spl111_98 ),
inference(sat_conversion,[],[f76977]) ).
cnf(s123,plain,
( ~ spl111_77
| ~ spl111_98
| spl111_101 ),
inference(sat_conversion,[],[f77000]) ).
cnf(s124,plain,
( spl111_21
| ~ spl111_30
| ~ spl111_101 ),
inference(sat_conversion,[],[f77001]) ).
cnf(s145,plain,
spl111_70,
inference(rat,[],[s82,s26]) ).
cnf(s146,plain,
spl111_50,
inference(rat,[],[s58,s26]) ).
cnf(s155,plain,
spl111_98,
inference(rat,[],[s120,s27,s28,s32,s31,s30,s29,s145]) ).
cnf(s170,plain,
spl111_52,
inference(rat,[],[s60,s146,s27,s32,s31,s28,s25]) ).
cnf(s171,plain,
spl111_77,
inference(rat,[],[s89,s170]) ).
cnf(s173,plain,
spl111_101,
inference(rat,[],[s123,s155,s171]) ).
cnf(s178,plain,
spl111_21,
inference(rat,[],[s124,s33,s173]) ).
cnf(s183,plain,
$false,
inference(rat,[],[s24,s178]) ).
fof(f77003,plain,
$false,
inference(avatar_sat_refutation,[],[s183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU416+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 % Computer : n006.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 28 05:16:05 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.42/11.54 % (3616163)Detected formulas, will run a generic FOF schedule.
% 33.42/11.54 % (3616174)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=997950579:i=141193_2933 on theBenchmark for (2933ds/141193Mi)
% 33.42/11.54 % (3616177)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1994757909:i=109:sd=1:ins=1:gsp=on:ss=axioms_2933 on theBenchmark for (2933ds/109Mi)
% 33.42/11.54 % (3616176)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=4088068901:i=141695:sd=1:nm=32:gsp=on:ss=included_2933 on theBenchmark for (2933ds/141695Mi)
% 33.42/11.54 % (3616175)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=3263606950:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2933 on theBenchmark for (2933ds/134677Mi)
% 33.42/11.54 % (3616178)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4164959761:i=119:av=off:ss=axioms_2933 on theBenchmark for (2933ds/119Mi)
% 33.42/11.54 % (3616179)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3188907986:s2a=on:i=139:gtg=position_2933 on theBenchmark for (2933ds/139Mi)
% 33.42/11.54 % (3616180)dis-21_1_sil=8000:lcm=predicate:random_seed=2928906284:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2933 on theBenchmark for (2933ds/129Mi)
% 33.42/11.54 % (3616177)Instruction limit reached!
% 33.42/11.54 % (3616177)------------------------------
% 33.42/11.54 % (3616177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.42/11.54 % (3616177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.42/11.54 % (3616177)CaDiCaL version: 2.1.3
% 33.42/11.54 % (3616177)Termination reason: Instruction limit
% 33.42/11.54 % (3616177)Termination phase: SInE selection
% 33.42/11.54 % (3616177)Time elapsed: 0.134 s
% 33.42/11.54 % (3616177)Peak memory usage: 201 MB
% 33.42/11.54 % (3616177)Instructions burned: 109 (million)
% 33.42/11.54 % (3616178)Instruction limit reached!
% 33.42/11.54 % (3616178)------------------------------
% 33.42/11.54 % (3616178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.42/11.54 % (3616178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.42/11.54 % (3616178)CaDiCaL version: 2.1.3
% 33.42/11.54 % (3616178)Termination reason: Instruction limit
% 33.42/11.54 % (3616178)Termination phase: SInE selection
% 33.42/11.54 % (3616178)Time elapsed: 0.131 s
% 33.42/11.54 % (3616178)Peak memory usage: 201 MB
% 33.42/11.54 % (3616178)Instructions burned: 120 (million)
% 33.42/11.54 % (3616179)Instruction limit reached!
% 33.42/11.54 % (3616179)------------------------------
% 33.42/11.54 % (3616179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.42/11.54 % (3616179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.42/11.54 % (3616179)CaDiCaL version: 2.1.3
% 33.42/11.54 % (3616179)Termination reason: Instruction limit
% 33.42/11.54 % (3616179)Termination phase: Property scanning
% 33.42/11.54 % (3616179)Time elapsed: 0.128 s
% 33.42/11.54 % (3616179)Peak memory usage: 201 MB
% 33.42/11.54 % (3616179)Instructions burned: 140 (million)
% 33.42/11.54 % (3616180)Instruction limit reached!
% 33.42/11.54 % (3616180)------------------------------
% 33.42/11.54 % (3616180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.42/11.54 % (3616180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.42/11.54 % (3616180)CaDiCaL version: 2.1.3
% 33.42/11.54 % (3616180)Termination reason: Instruction limit
% 33.42/11.54 % (3616180)Termination phase: SInE selection
% 33.42/11.54 % (3616180)Time elapsed: 0.144 s
% 33.42/11.54 % (3616180)Peak memory usage: 201 MB
% 33.42/11.54 % (3616180)Instructions burned: 129 (million)
% 33.42/11.54 % (3616188)lrs+10_1_sil=8000:sp=occurrence:random_seed=1487666259:i=285:sd=3:ss=axioms:sgt=8_2929 on theBenchmark for (2929ds/285Mi)
% 33.42/11.54 % (3616189)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2445453045:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2928 on theBenchmark for (2928ds/157Mi)
% 33.42/11.54 % (3616190)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2219622974:i=325:sd=1:ss=axioms:sgt=32_2928 on theBenchmark for (2928ds/325Mi)
% 33.42/11.54 % (3616191)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=1463632000:s2a=on:i=248:s2at=1.23:gtg=position_2928 on theBenchmark for (2928ds/248Mi)
% 33.42/11.54 % (3616189)Instruction limit reached!
% 45.61/13.26 % (3616189)------------------------------
% 45.61/13.26 % (3616189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.61/13.26 % (3616189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.61/13.26 % (3616189)CaDiCaL version: 2.1.3
% 45.61/13.26 % (3616189)Termination reason: Instruction limit
% 45.61/13.26 % (3616189)Termination phase: Property scanning
% 45.61/13.26 % (3616189)Time elapsed: 0.143 s
% 45.61/13.26 % (3616189)Peak memory usage: 201 MB
% 45.61/13.26 % (3616189)Instructions burned: 157 (million)
% 45.61/13.26 % (3616191)Instruction limit reached!
% 45.61/13.26 % (3616191)------------------------------
% 45.61/13.26 % (3616191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.61/13.26 % (3616191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.61/13.26 % (3616191)CaDiCaL version: 2.1.3
% 45.61/13.26 % (3616191)Termination reason: Instruction limit
% 45.61/13.26 % (3616191)Termination phase: Property scanning
% 45.61/13.26 % (3616191)Time elapsed: 0.211 s
% 45.61/13.26 % (3616191)Peak memory usage: 201 MB
% 45.61/13.26 % (3616191)Instructions burned: 249 (million)
% 45.61/13.26 % (3616188)Instruction limit reached!
% 45.61/13.26 % (3616188)------------------------------
% 45.61/13.26 % (3616188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.61/13.26 % (3616188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.61/13.26 % (3616188)CaDiCaL version: 2.1.3
% 45.61/13.26 % (3616188)Termination reason: Instruction limit
% 45.61/13.26 % (3616188)Termination phase: SInE selection
% 45.61/13.26 % (3616188)Time elapsed: 0.338 s
% 45.61/13.26 % (3616188)Peak memory usage: 201 MB
% 45.61/13.26 % (3616188)Instructions burned: 285 (million)
% 45.61/13.26 % (3616196)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4072136500:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2924 on theBenchmark for (2924ds/294Mi)
% 45.61/13.26 % (3616190)Instruction limit reached!
% 45.61/13.26 % (3616190)------------------------------
% 45.61/13.26 % (3616190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.61/13.26 % (3616190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.61/13.26 % (3616190)CaDiCaL version: 2.1.3
% 45.61/13.26 % (3616190)Termination reason: Instruction limit
% 45.61/13.26 % (3616190)Termination phase: SInE selection
% 45.61/13.26 % (3616190)Time elapsed: 0.370 s
% 45.61/13.26 % (3616190)Peak memory usage: 201 MB
% 45.61/13.26 % (3616190)Instructions burned: 325 (million)
% 45.61/13.26 % (3616197)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=33204632:i=2350_2923 on theBenchmark for (2923ds/2350Mi)
% 45.61/13.26 % (3616198)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3057088266:cts=off:i=113:fsr=off:ss=included:sgt=4_2923 on theBenchmark for (2923ds/113Mi)
% 45.61/13.26 % (3616200)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=770586139:i=127:av=off:fsr=off:sup=off_2922 on theBenchmark for (2922ds/127Mi)
% 45.61/13.26 % (3616196)Instruction limit reached!
% 45.61/13.26 % (3616196)------------------------------
% 45.61/13.26 % (3616196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.61/13.26 % (3616196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.61/13.26 % (3616196)CaDiCaL version: 2.1.3
% 45.61/13.26 % (3616196)Termination reason: Instruction limit
% 45.61/13.26 % (3616196)Termination phase: SInE selection
% 45.61/13.26 % (3616196)Time elapsed: 0.308 s
% 45.61/13.26 % (3616196)Peak memory usage: 201 MB
% 45.61/13.26 % (3616196)Instructions burned: 295 (million)
% 45.61/13.26 % (3616198)Instruction limit reached!
% 45.61/13.26 % (3616198)------------------------------
% 45.61/13.26 % (3616198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.61/13.26 % (3616198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.61/13.26 % (3616198)CaDiCaL version: 2.1.3
% 45.61/13.26 % (3616198)Termination reason: Instruction limit
% 45.61/13.26 % (3616198)Termination phase: SInE selection
% 45.61/13.26 % (3616198)Time elapsed: 0.129 s
% 45.61/13.26 % (3616198)Peak memory usage: 201 MB
% 45.61/13.26 % (3616198)Instructions burned: 113 (million)
% 45.61/13.26 % (3616200)Instruction limit reached!
% 45.61/13.26 % (3616200)------------------------------
% 45.61/13.26 % (3616200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.61/13.26 % (3616200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.61/13.26 % (3616200)CaDiCaL version: 2.1.3
% 91.81/19.90 % (3616200)Termination reason: Instruction limit
% 91.81/19.90 % (3616200)Termination phase: Preprocessing 1
% 91.81/19.90 % (3616200)Time elapsed: 0.161 s
% 91.81/19.90 % (3616200)Peak memory usage: 202 MB
% 91.81/19.90 % (3616200)Instructions burned: 127 (million)
% 91.81/19.90 % (3616208)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2820844431:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2919 on theBenchmark for (2919ds/114Mi)
% 91.81/19.90 % (3616209)lrs+10_1_sil=8000:sp=occurrence:random_seed=1693669043:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2918 on theBenchmark for (2918ds/907Mi)
% 91.81/19.90 % (3616208)Instruction limit reached!
% 91.81/19.90 % (3616208)------------------------------
% 91.81/19.90 % (3616208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.81/19.90 % (3616208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.81/19.90 % (3616208)CaDiCaL version: 2.1.3
% 91.81/19.90 % (3616208)Termination reason: Instruction limit
% 91.81/19.90 % (3616208)Termination phase: Property scanning
% 91.81/19.90 % (3616208)Time elapsed: 0.106 s
% 91.81/19.90 % (3616208)Peak memory usage: 201 MB
% 91.81/19.90 % (3616208)Instructions burned: 115 (million)
% 91.81/19.90 % (3616210)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3813893420:i=437:sd=1:aac=none:ss=included_2917 on theBenchmark for (2917ds/437Mi)
% 91.81/19.90 % (3616214)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2448936142:i=5202:ss=axioms:sgt=16_2915 on theBenchmark for (2915ds/5202Mi)
% 91.81/19.90 % (3616210)Instruction limit reached!
% 91.81/19.90 % (3616210)------------------------------
% 91.81/19.90 % (3616210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.81/19.90 % (3616210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.81/19.90 % (3616210)CaDiCaL version: 2.1.3
% 91.81/19.90 % (3616210)Termination reason: Instruction limit
% 91.81/19.90 % (3616210)Termination phase: SInE selection
% 91.81/19.90 % (3616210)Time elapsed: 0.471 s
% 91.81/19.90 % (3616210)Peak memory usage: 201 MB
% 91.81/19.90 % (3616210)Instructions burned: 437 (million)
% 91.81/19.90 % (3616216)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1920200680:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2910 on theBenchmark for (2910ds/134Mi)
% 91.81/19.90 % (3616209)Instruction limit reached!
% 91.81/19.90 % (3616209)------------------------------
% 91.81/19.90 % (3616209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.81/19.90 % (3616209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.81/19.90 % (3616209)CaDiCaL version: 2.1.3
% 91.81/19.90 % (3616209)Termination reason: Instruction limit
% 91.81/19.90 % (3616209)Termination phase: Preprocessing 2
% 91.81/19.90 % (3616209)Time elapsed: 0.984 s
% 91.81/19.90 % (3616209)Peak memory usage: 206 MB
% 91.81/19.90 % (3616209)Instructions burned: 907 (million)
% 91.81/19.90 % (3616216)Instruction limit reached!
% 91.81/19.90 % (3616216)------------------------------
% 91.81/19.90 % (3616216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.81/19.90 % (3616216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.81/19.90 % (3616216)CaDiCaL version: 2.1.3
% 91.81/19.90 % (3616216)Termination reason: Instruction limit
% 91.81/19.90 % (3616216)Termination phase: SInE selection
% 91.81/19.90 % (3616216)Time elapsed: 0.151 s
% 91.81/19.90 % (3616216)Peak memory usage: 201 MB
% 91.81/19.90 % (3616216)Instructions burned: 134 (million)
% 91.81/19.90 % (3616218)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=553020817:st=8:i=592:sd=3:ep=RST:ss=axioms_2906 on theBenchmark for (2906ds/592Mi)
% 91.81/19.90 % (3616219)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=137945647:st=3:i=13193:sd=3:ss=axioms_2905 on theBenchmark for (2905ds/13193Mi)
% 91.81/19.90 % (3616218)Instruction limit reached!
% 91.81/19.90 % (3616218)------------------------------
% 91.81/19.90 % (3616218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.81/19.90 % (3616218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.81/19.90 % (3616218)CaDiCaL version: 2.1.3
% 91.81/19.90 % (3616218)Termination reason: Instruction limit
% 91.81/19.90 % (3616218)Termination phase: SInE selection
% 91.81/19.90 % (3616218)Time elapsed: 0.580 s
% 91.81/19.90 % (3616218)Peak memory usage: 203 MB
% 91.81/19.90 % (3616218)Instructions burned: 593 (million)
% 91.81/19.90 % (3616224)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2657338733:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2897 on theBenchmark for (2897ds/125Mi)
% 84.52/22.23 % (3616197)Instruction limit reached!
% 84.52/22.23 % (3616197)------------------------------
% 84.52/22.23 % (3616197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.23 % (3616197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.23 % (3616197)CaDiCaL version: 2.1.3
% 84.52/22.23 % (3616197)Termination reason: Instruction limit
% 84.52/22.23 % (3616197)Termination phase: Preprocessing 3
% 84.52/22.23 % (3616197)Time elapsed: 2.661 s
% 84.52/22.23 % (3616197)Peak memory usage: 305 MB
% 84.52/22.23 % (3616197)Instructions burned: 2351 (million)
% 84.52/22.23 % (3616224)Instruction limit reached!
% 84.52/22.23 % (3616224)------------------------------
% 84.52/22.23 % (3616224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.23 % (3616224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.23 % (3616224)CaDiCaL version: 2.1.3
% 84.52/22.23 % (3616224)Termination reason: Instruction limit
% 84.52/22.23 % (3616224)Termination phase: Property scanning
% 84.52/22.23 % (3616224)Time elapsed: 0.116 s
% 84.52/22.23 % (3616224)Peak memory usage: 201 MB
% 84.52/22.23 % (3616224)Instructions burned: 125 (million)
% 84.52/22.23 % (3616227)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3434122552:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2893 on theBenchmark for (2893ds/141Mi)
% 84.52/22.23 % (3616226)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3668112601:i=134:gtgl=5:slsql=off:gtg=exists_sym_2894 on theBenchmark for (2894ds/134Mi)
% 84.52/22.23 % (3616226)Instruction limit reached!
% 84.52/22.23 % (3616226)------------------------------
% 84.52/22.23 % (3616226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.23 % (3616226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.23 % (3616226)CaDiCaL version: 2.1.3
% 84.52/22.23 % (3616226)Termination reason: Instruction limit
% 84.52/22.23 % (3616226)Termination phase: Property scanning
% 84.52/22.23 % (3616226)Time elapsed: 0.123 s
% 84.52/22.23 % (3616226)Peak memory usage: 201 MB
% 84.52/22.23 % (3616226)Instructions burned: 134 (million)
% 84.52/22.23 % (3616227)Instruction limit reached!
% 84.52/22.23 % (3616227)------------------------------
% 84.52/22.23 % (3616227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.23 % (3616227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.23 % (3616227)CaDiCaL version: 2.1.3
% 84.52/22.23 % (3616227)Termination reason: Instruction limit
% 84.52/22.23 % (3616227)Termination phase: SInE selection
% 84.52/22.23 % (3616227)Time elapsed: 0.151 s
% 84.52/22.23 % (3616227)Peak memory usage: 201 MB
% 84.52/22.23 % (3616227)Instructions burned: 141 (million)
% 84.52/22.23 % (3616232)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3596312775:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2890 on theBenchmark for (2890ds/431Mi)
% 84.52/22.23 % (3616233)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1937585250:i=6060:aac=none:ins=25_2890 on theBenchmark for (2890ds/6060Mi)
% 84.52/22.23 % (3616232)Instruction limit reached!
% 84.52/22.23 % (3616232)------------------------------
% 84.52/22.23 % (3616232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.23 % (3616232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.23 % (3616232)CaDiCaL version: 2.1.3
% 84.52/22.23 % (3616232)Termination reason: Instruction limit
% 84.52/22.23 % (3616232)Termination phase: SInE selection
% 84.52/22.23 % (3616232)Time elapsed: 0.455 s
% 84.52/22.23 % (3616232)Peak memory usage: 202 MB
% 84.52/22.23 % (3616232)Instructions burned: 431 (million)
% 84.52/22.23 % (3616236)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3922393464:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2882 on theBenchmark for (2882ds/150Mi)
% 84.52/22.23 % (3616236)Instruction limit reached!
% 84.52/22.23 % (3616236)------------------------------
% 84.52/22.23 % (3616236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.23 % (3616236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.23 % (3616236)CaDiCaL version: 2.1.3
% 84.52/22.23 % (3616236)Termination reason: Instruction limit
% 84.52/22.23 % (3616236)Termination phase: SInE selection
% 84.52/22.23 % (3616236)Time elapsed: 0.167 s
% 84.52/22.23 % (3616236)Peak memory usage: 201 MB
% 84.52/22.23 % (3616236)Instructions burned: 150 (million)
% 84.52/22.23 % (3616238)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1695055113:i=14155:bd=all_2878 on theBenchmark for (2878ds/14155Mi)
% 84.52/22.23 % (3616214)Instruction limit reached!
% 84.52/22.23 % (3616214)------------------------------
% 84.52/22.23 % (3616214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.23 % (3616214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.23 % (3616214)CaDiCaL version: 2.1.3
% 84.52/22.23 % (3616214)Termination reason: Instruction limit
% 84.52/22.23 % (3616214)Termination phase: Saturation
% 84.52/22.23 % (3616214)Time elapsed: 5.301 s
% 84.52/22.23 % (3616214)Peak memory usage: 402 MB
% 84.52/22.23 % (3616214)Instructions burned: 5202 (million)
% 84.52/22.23 % (3616244)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3315404267:i=667:av=off:fsr=off_2859 on theBenchmark for (2859ds/667Mi)
% 84.52/22.24 % (3616244)Instruction limit reached!
% 84.52/22.24 % (3616244)------------------------------
% 84.52/22.24 % (3616244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.24 % (3616244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.24 % (3616244)CaDiCaL version: 2.1.3
% 84.52/22.24 % (3616244)Termination reason: Instruction limit
% 84.52/22.24 % (3616244)Termination phase: Preprocessing 2
% 84.52/22.24 % (3616244)Time elapsed: 0.913 s
% 84.52/22.24 % (3616244)Peak memory usage: 218 MB
% 84.52/22.24 % (3616244)Instructions burned: 668 (million)
% 84.52/22.24 % (3616248)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2865015656:s2a=on:i=185:s2at=1.8:fdi=4_2847 on theBenchmark for (2847ds/185Mi)
% 84.52/22.24 % (3616248)Instruction limit reached!
% 84.52/22.24 % (3616248)------------------------------
% 84.52/22.24 % (3616248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.24 % (3616248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.24 % (3616248)CaDiCaL version: 2.1.3
% 84.52/22.24 % (3616248)Termination reason: Instruction limit
% 84.52/22.24 % (3616248)Termination phase: SInE selection
% 84.52/22.24 % (3616248)Time elapsed: 0.207 s
% 84.52/22.24 % (3616248)Peak memory usage: 201 MB
% 84.52/22.24 % (3616248)Instructions burned: 185 (million)
% 84.52/22.24 % (3616250)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1597227269:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2841 on theBenchmark for (2841ds/193Mi)
% 84.52/22.24 % (3616250)Instruction limit reached!
% 84.52/22.24 % (3616250)------------------------------
% 84.52/22.24 % (3616250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.24 % (3616250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.24 % (3616250)CaDiCaL version: 2.1.3
% 84.52/22.24 % (3616250)Termination reason: Instruction limit
% 84.52/22.24 % (3616250)Termination phase: SInE selection
% 84.52/22.24 % (3616250)Time elapsed: 0.125 s
% 84.52/22.24 % (3616250)Peak memory usage: 201 MB
% 84.52/22.24 % (3616250)Instructions burned: 193 (million)
% 84.52/22.24 % (3616252)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3134559692:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2838 on theBenchmark for (2838ds/4850Mi)
% 84.52/22.24 % (3616233)Instruction limit reached!
% 84.52/22.24 % (3616233)------------------------------
% 84.52/22.24 % (3616233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.24 % (3616233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.24 % (3616233)CaDiCaL version: 2.1.3
% 84.52/22.24 % (3616233)Termination reason: Instruction limit
% 84.52/22.24 % (3616233)Termination phase: NewCNF
% 84.52/22.24 % (3616233)Time elapsed: 6.771 s
% 84.52/22.24 % (3616233)Peak memory usage: 381 MB
% 84.52/22.24 % (3616233)Instructions burned: 6060 (million)
% 84.52/22.24 % (3616254)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3508208227:i=12111:sd=1:ss=included_2818 on theBenchmark for (2818ds/12111Mi)
% 84.52/22.24 % (3616252)Instruction limit reached!
% 84.52/22.24 % (3616252)------------------------------
% 84.52/22.24 % (3616252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.24 % (3616252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.24 % (3616252)CaDiCaL version: 2.1.3
% 84.52/22.24 % (3616252)Termination reason: Instruction limit
% 84.52/22.24 % (3616252)Termination phase: Property scanning
% 84.52/22.24 % (3616252)Time elapsed: 2.434 s
% 84.52/22.24 % (3616252)Peak memory usage: 345 MB
% 84.52/22.24 % (3616252)Instructions burned: 4855 (million)
% 84.52/22.24 % (3616282)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=366719006:i=319:kws=precedence:fsr=off_2811 on theBenchmark for (2811ds/319Mi)
% 84.52/22.24 % (3616282)Instruction limit reached!
% 84.52/22.24 % (3616282)------------------------------
% 84.52/22.24 % (3616282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.24 % (3616282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.24 % (3616282)CaDiCaL version: 2.1.3
% 84.52/22.24 % (3616282)Termination reason: Instruction limit
% 84.52/22.24 % (3616282)Termination phase: Preprocessing 1
% 84.52/22.24 % (3616282)Time elapsed: 0.139 s
% 84.52/22.24 % (3616282)Peak memory usage: 203 MB
% 84.52/22.24 % (3616282)Instructions burned: 320 (million)
% 84.52/22.24 % (3616364)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2581649131:i=2064:ep=RST_2808 on theBenchmark for (2808ds/2064Mi)
% 84.52/22.24 % (3616364)Instruction limit reached!
% 84.52/22.24 % (3616364)------------------------------
% 84.52/22.24 % (3616364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.24 % (3616364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.24 % (3616364)CaDiCaL version: 2.1.3
% 84.52/22.24 % (3616364)Termination reason: Instruction limit
% 84.52/22.24 % (3616364)Termination phase: Preprocessing 3
% 84.52/22.24 % (3616364)Time elapsed: 0.910 s
% 84.52/22.24 % (3616364)Peak memory usage: 317 MB
% 84.52/22.24 % (3616364)Instructions burned: 2065 (million)
% 84.52/22.24 % (3616413)dis-1011_128_sil=32000:random_seed=807966294:i=3706:ep=RST:av=off_2798 on theBenchmark for (2798ds/3706Mi)
% 84.52/22.24 % (3616219)Instruction limit reached!
% 84.52/22.24 % (3616219)------------------------------
% 84.52/22.24 % (3616219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.52/22.24 % (3616219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.52/22.24 % (3616219)CaDiCaL version: 2.1.3
% 84.52/22.24 % (3616219)Termination reason: Instruction limit
% 84.52/22.24 % (3616219)Termination phase: Saturation
% 84.52/22.24 % (3616219)Time elapsed: 10.642 s
% 84.52/22.24 % (3616219)Peak memory usage: 467 MB
% 84.52/22.24 % (3616219)Instructions burned: 13193 (million)
% 84.52/22.24 % (3616415)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2169435479:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2795 on theBenchmark for (2795ds/757Mi)
% 84.52/22.24 % (3616254)First to succeed.
% 84.52/22.24 % (3616254)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3616163"
% 84.52/22.24 % (3616254)Refutation found. Thanks to Tanya!
% 84.52/22.24 % SZS status Theorem for theBenchmark
% 84.52/22.24 % SZS output start Proof for theBenchmark
% See solution above
% 108.82/22.50 % (3616254)------------------------------
% 108.82/22.50 % (3616254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 108.82/22.50 % (3616254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.82/22.50 % (3616254)CaDiCaL version: 2.1.3
% 108.82/22.50 % (3616254)Termination reason: Refutation
% 108.82/22.50 % (3616254)Time elapsed: 2.267 s
% 108.82/22.50 % (3616254)Peak memory usage: 291 MB
% 108.82/22.50 % (3616254)Instructions burned: 3232 (million)
% 108.82/22.50 % (3616254)------------------------------
% 108.82/22.50 % (3616254)------------------------------
% 108.82/22.50 % (3616163)Success in time 21.155 s
% 108.82/22.50 % Vampire exiting
%------------------------------------------------------------------------------