%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV571+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:59:30 PM UTC 2026
% Result : Theorem 4.92s 1.16s
% Output : Refutation 4.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 114 ( 35 unt; 8 def)
% Number of atoms : 211 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 177 ( 80 ~; 84 |; 0 &)
% ( 12 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',subq_def) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',n_def) ).
fof(f26,conjecture,
~ subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsubq_2508_2504) ).
fof(f27,negated_conjecture,
~ ~ subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ mem(X2,X0)
| mem(X2,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f33,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f36,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f37,plain,
! [X0,X1] :
( X0 != X1
| mem(X0,s(X1)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X1)
| mem(X0,X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ mem(X0,X2)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ mem(X0,X1)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f45,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f46,f45]) ).
fof(f51,plain,
subq(u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f49,f50,f50,f50,f50,f50,f50,f50,f50,f45,f50,f50,f50,f50,f50,f50,f50,f50,f50,f50,f50,f50,f50,f50,f50]) ).
fof(f52,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f37]) ).
fof(f54,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| mem(sK0(X0,X1),X0) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ mem(X2,X0)
| mem(X2,X1)
| subq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f59,plain,
~ subq(u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f63,plain,
! [X0,X1] : mem(X0,u(X1,s(X0))),
inference(resolution,[],[f40,f52]) ).
fof(f66,plain,
! [X0,X1] : mem(X0,u(s(X0),X1)),
inference(resolution,[],[f41,f52]) ).
fof(f68,plain,
! [X2,X0,X1] : mem(X0,u(u(X1,s(X0)),X2)),
inference(resolution,[],[f41,f63]) ).
fof(f70,plain,
! [X2,X0,X1] : mem(X0,u(X1,u(s(X0),X2))),
inference(resolution,[],[f66,f40]) ).
fof(f76,plain,
! [X2,X3,X0,X1] : mem(X0,u(u(u(X1,s(X0)),X2),X3)),
inference(resolution,[],[f68,f41]) ).
fof(f82,plain,
! [X0,X1] :
( subq(s(X0),X1)
| mem(X0,X1) ),
inference(resolution,[],[f55,f52]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( subq(u(X2,u(s(X0),X3)),X1)
| mem(X0,X1) ),
inference(resolution,[],[f55,f70]) ).
fof(f90,plain,
! [X0,X1] :
( mem(sK0(s(X0),X1),s(X0))
| mem(X0,X1) ),
inference(resolution,[],[f82,f54]) ).
fof(f126,plain,
! [X0,X1] :
( mem(X0,X1)
| sK0(s(X0),X1) = X0 ),
inference(resolution,[],[f90,f38]) ).
fof(f133,plain,
! [X0] : sK0(s(X0),e) = X0,
inference(resolution,[],[f126,f36]) ).
fof(f222,plain,
mem(s(u(e,s(e))),u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(resolution,[],[f59,f86]) ).
fof(f235,plain,
( mem(s(u(e,s(e))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(s(u(e,s(e))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ),
inference(resolution,[],[f222,f39]) ).
fof(f241,definition,
( spl1_3
<=> mem(s(u(e,s(e))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f243,plain,
( mem(s(u(e,s(e))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f245,definition,
( spl1_4
<=> mem(s(u(e,s(e))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f247,plain,
( mem(s(u(e,s(e))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f235,f245,f241]) ).
fof(f314,plain,
( s(u(e,s(e))) = u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))
| ~ spl1_3 ),
inference(resolution,[],[f243,f38]) ).
fof(f358,plain,
( mem(e,s(u(e,s(e))))
| ~ spl1_3 ),
inference(superposition,[],[f76,f314]) ).
fof(f383,plain,
( e = u(e,s(e))
| ~ spl1_3 ),
inference(resolution,[],[f358,f38]) ).
fof(f429,plain,
( mem(e,e)
| ~ spl1_3 ),
inference(superposition,[],[f63,f383]) ).
fof(f445,plain,
( $false
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f429,f36]) ).
fof(f446,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f567,plain,
( mem(s(u(e,s(e))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| mem(s(u(e,s(e))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ spl1_4 ),
inference(resolution,[],[f247,f39]) ).
fof(f573,definition,
( spl1_5
<=> mem(s(u(e,s(e))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f575,plain,
( mem(s(u(e,s(e))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f577,definition,
( spl1_6
<=> mem(s(u(e,s(e))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f579,plain,
( mem(s(u(e,s(e))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f580,plain,
( spl1_5
| spl1_6
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f567,f245,f577,f573]) ).
fof(f611,plain,
( mem(s(u(e,s(e))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| mem(s(u(e,s(e))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ spl1_5 ),
inference(resolution,[],[f575,f39]) ).
fof(f617,definition,
( spl1_7
<=> mem(s(u(e,s(e))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f619,plain,
( mem(s(u(e,s(e))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f621,definition,
( spl1_8
<=> mem(s(u(e,s(e))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f623,plain,
( mem(s(u(e,s(e))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f624,plain,
( spl1_7
| spl1_8
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f611,f573,f621,f617]) ).
fof(f630,plain,
( mem(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(s(u(e,s(e))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ spl1_7 ),
inference(resolution,[],[f619,f39]) ).
fof(f636,definition,
( spl1_9
<=> mem(s(u(e,s(e))),s(s(u(u(e,s(e)),s(u(e,s(e))))))) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f638,plain,
( mem(s(u(e,s(e))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f640,definition,
( spl1_10
<=> mem(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f641,plain,
( ~ mem(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))
| spl1_10 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f642,plain,
( mem(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f643,plain,
( spl1_9
| spl1_10
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f630,f617,f640,f636]) ).
fof(f669,plain,
( s(u(e,s(e))) = s(u(u(e,s(e)),s(u(e,s(e)))))
| ~ spl1_9 ),
inference(resolution,[],[f638,f38]) ).
fof(f788,plain,
( u(u(e,s(e)),s(u(e,s(e)))) = sK0(s(u(e,s(e))),e)
| ~ spl1_9 ),
inference(superposition,[],[f133,f669]) ).
fof(f792,plain,
( u(e,s(e)) = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl1_9 ),
inference(forward_demodulation,[],[f788,f133]) ).
fof(f846,plain,
( mem(u(e,s(e)),u(e,s(e)))
| ~ spl1_9 ),
inference(superposition,[],[f63,f792]) ).
fof(f991,plain,
( mem(u(e,s(e)),e)
| mem(u(e,s(e)),s(e))
| ~ spl1_9 ),
inference(resolution,[],[f846,f39]) ).
fof(f996,plain,
( mem(u(e,s(e)),s(e))
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f991,f36]) ).
fof(f1151,plain,
( e = u(e,s(e))
| ~ spl1_9 ),
inference(resolution,[],[f996,f38]) ).
fof(f1352,plain,
( mem(e,e)
| ~ spl1_9 ),
inference(superposition,[],[f63,f1151]) ).
fof(f1370,plain,
( $false
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f1352,f36]) ).
fof(f1371,plain,
~ spl1_9,
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1561,plain,
( s(u(e,s(e))) = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl1_10 ),
inference(resolution,[],[f642,f38]) ).
fof(f1664,plain,
( mem(e,s(u(e,s(e))))
| ~ spl1_10 ),
inference(superposition,[],[f68,f1561]) ).
fof(f1723,plain,
( e = u(e,s(e))
| ~ spl1_10 ),
inference(resolution,[],[f1664,f38]) ).
fof(f1811,plain,
( mem(e,e)
| ~ spl1_10 ),
inference(superposition,[],[f63,f1723]) ).
fof(f1829,plain,
( $false
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f1811,f36]) ).
fof(f1830,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f1829]) ).
fof(f2111,plain,
( s(u(e,s(e))) = u(s(u(e,s(e))),s(s(u(e,s(e)))))
| ~ spl1_8 ),
inference(resolution,[],[f623,f38]) ).
fof(f2252,plain,
( mem(s(u(e,s(e))),s(u(e,s(e))))
| ~ spl1_8 ),
inference(superposition,[],[f63,f2111]) ).
fof(f2291,plain,
( u(e,s(e)) = s(u(e,s(e)))
| ~ spl1_8 ),
inference(resolution,[],[f2252,f38]) ).
fof(f2405,plain,
( mem(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| ~ spl1_8 ),
inference(superposition,[],[f623,f2291]) ).
fof(f2410,plain,
( ~ mem(u(e,s(e)),s(u(u(e,s(e)),u(e,s(e)))))
| ~ spl1_8
| spl1_10 ),
inference(superposition,[],[f641,f2291]) ).
fof(f2492,plain,
( mem(u(e,s(e)),s(u(u(e,s(e)),u(e,s(e)))))
| ~ spl1_8 ),
inference(forward_demodulation,[],[f2405,f2291]) ).
fof(f2593,plain,
( $false
| ~ spl1_8
| spl1_10 ),
inference(forward_subsumption_resolution,[],[f2492,f2410]) ).
fof(f2594,plain,
( ~ spl1_8
| spl1_10 ),
inference(avatar_contradiction_clause,[],[f2593]) ).
fof(f3210,plain,
( s(u(e,s(e))) = u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))
| ~ spl1_6 ),
inference(resolution,[],[f579,f38]) ).
fof(f3354,plain,
( mem(e,s(u(e,s(e))))
| ~ spl1_6 ),
inference(superposition,[],[f68,f3210]) ).
fof(f3440,plain,
( e = u(e,s(e))
| ~ spl1_6 ),
inference(resolution,[],[f3354,f38]) ).
fof(f3761,plain,
( mem(e,e)
| ~ spl1_6 ),
inference(superposition,[],[f63,f3440]) ).
fof(f3780,plain,
( $false
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f3761,f36]) ).
fof(f3781,plain,
~ spl1_6,
inference(avatar_contradiction_clause,[],[f3780]) ).
cnf(s3,plain,
( spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f248]) ).
cnf(s4,plain,
~ spl1_3,
inference(sat_conversion,[],[f446]) ).
cnf(s5,plain,
( ~ spl1_4
| spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f580]) ).
cnf(s6,plain,
( ~ spl1_5
| spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f624]) ).
cnf(s7,plain,
( ~ spl1_7
| spl1_9
| spl1_10 ),
inference(sat_conversion,[],[f643]) ).
cnf(s8,plain,
~ spl1_9,
inference(sat_conversion,[],[f1371]) ).
cnf(s10,plain,
~ spl1_10,
inference(sat_conversion,[],[f1830]) ).
cnf(s12,plain,
( ~ spl1_8
| spl1_10 ),
inference(sat_conversion,[],[f2594]) ).
cnf(s13,plain,
~ spl1_6,
inference(sat_conversion,[],[f3781]) ).
cnf(s15,plain,
~ spl1_8,
inference(rat,[],[s12,s10]) ).
cnf(s16,plain,
~ spl1_7,
inference(rat,[],[s7,s10,s8]) ).
cnf(s17,plain,
~ spl1_5,
inference(rat,[],[s6,s15,s16]) ).
cnf(s18,plain,
~ spl1_4,
inference(rat,[],[s5,s13,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s3,s18,s4]) ).
fof(f4153,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV571+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 06:38:51 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.92/1.16 % (1721167)Will run a generic schedule for satisfiability detection.
% 4.92/1.16 % (1721174)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3743950782:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.92/1.16 % (1721173)% WARNING: option uhcvi not known.
% 4.92/1.16 % (1721172)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=109609500_2999 on theBenchmark for (2999ds/0Mi)
% 4.92/1.16 % (1721173)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3058583343:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.92/1.16 % (1721177)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1686056191:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.92/1.16 % (1721175)dis+10_1_sil=32000:sp=arity:random_seed=4047734527:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.92/1.16 % (1721176)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2261748981:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.92/1.16 % (1721178)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3337003937:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.92/1.16 % TRYING [1]
% 4.92/1.16 % TRYING [2]
% 4.92/1.16 % TRYING [3]
% 4.92/1.16 % TRYING [4]
% 4.92/1.16 % TRYING [5]
% 4.92/1.16 % TRYING [6]
% 4.92/1.16 % TRYING [7]
% 4.92/1.16 % TRYING [8]
% 4.92/1.16 % (1721175)Instruction limit reached!
% 4.92/1.16 % (1721175)------------------------------
% 4.92/1.16 % (1721175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.16 % (1721175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.16 % (1721175)CaDiCaL version: 2.1.3
% 4.92/1.16 % (1721175)Termination reason: Instruction limit
% 4.92/1.16 % (1721175)Termination phase: Saturation
% 4.92/1.16 % (1721175)Time elapsed: 0.063 s
% 4.92/1.16 % (1721175)Peak memory usage: 12 MB
% 4.92/1.16 % (1721175)Instructions burned: 103 (million)
% 4.92/1.16 % (1721176)Instruction limit reached!
% 4.92/1.16 % (1721176)------------------------------
% 4.92/1.16 % (1721176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.16 % (1721176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.16 % (1721176)CaDiCaL version: 2.1.3
% 4.92/1.16 % (1721176)Termination reason: Instruction limit
% 4.92/1.16 % (1721176)Termination phase: Saturation
% 4.92/1.16 % (1721176)Time elapsed: 0.071 s
% 4.92/1.16 % (1721176)Peak memory usage: 12 MB
% 4.92/1.16 % (1721176)Instructions burned: 117 (million)
% 4.92/1.16 % (1721177)Instruction limit reached!
% 4.92/1.16 % (1721177)------------------------------
% 4.92/1.16 % (1721177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.16 % (1721177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.16 % (1721177)CaDiCaL version: 2.1.3
% 4.92/1.16 % (1721177)Termination reason: Instruction limit
% 4.92/1.16 % (1721177)Termination phase: Saturation
% 4.92/1.16 % (1721177)Time elapsed: 0.079 s
% 4.92/1.16 % (1721177)Peak memory usage: 13 MB
% 4.92/1.16 % (1721177)Instructions burned: 132 (million)
% 4.92/1.16 % (1721186)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2814203951:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.92/1.16 % TRYING [1]
% 4.92/1.16 % TRYING [2]
% 4.92/1.16 % TRYING [3]
% 4.92/1.16 % TRYING [4]
% 4.92/1.16 % (1721187)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4049789986:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.92/1.16 % TRYING [5]
% 4.92/1.16 % (1721188)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2768186251:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.92/1.16 % TRYING [6]
% 4.92/1.16 % (1721178)Instruction limit reached!
% 4.92/1.16 % (1721178)------------------------------
% 4.92/1.16 % (1721178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.16 % (1721178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.16 % (1721178)CaDiCaL version: 2.1.3
% 4.92/1.16 % (1721178)Termination reason: Instruction limit
% 4.92/1.16 % (1721178)Termination phase: Saturation
% 4.92/1.16 % (1721178)Time elapsed: 0.105 s
% 4.92/1.16 % (1721178)Peak memory usage: 13 MB
% 4.92/1.16 % (1721178)Instructions burned: 159 (million)
% 4.92/1.16 % TRYING [7]
% 4.92/1.16 % (1721192)ott-21_1_sil=16000:fs=off:random_seed=3294914452:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.92/1.16 % TRYING [9]
% 4.92/1.16 % (1721187)Instruction limit reached!
% 4.92/1.16 % (1721187)------------------------------
% 4.92/1.16 % (1721187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.16 % (1721187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.16 % (1721187)CaDiCaL version: 2.1.3
% 4.92/1.16 % (1721187)Termination reason: Instruction limit
% 4.92/1.16 % (1721187)Termination phase: Saturation
% 4.92/1.16 % (1721187)Time elapsed: 0.074 s
% 4.92/1.16 % (1721187)Peak memory usage: 12 MB
% 4.92/1.16 % (1721187)Instructions burned: 132 (million)
% 4.92/1.16 % (1721194)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=532484076:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.92/1.16 % TRYING [8]
% 4.92/1.16 % (1721192)Instruction limit reached!
% 4.92/1.16 % (1721192)------------------------------
% 4.92/1.16 % (1721192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.16 % (1721192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.16 % (1721192)CaDiCaL version: 2.1.3
% 4.92/1.16 % (1721192)Termination reason: Instruction limit
% 4.92/1.16 % (1721192)Termination phase: Saturation
% 4.92/1.16 % (1721192)Time elapsed: 0.093 s
% 4.92/1.16 % (1721192)Peak memory usage: 13 MB
% 4.92/1.16 % (1721192)Instructions burned: 182 (million)
% 4.92/1.16 % (1721196)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=133731492:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.92/1.16 % TRYING [1]
% 4.92/1.16 % TRYING [2]
% 4.92/1.16 % TRYING [3]
% 4.92/1.16 % TRYING [4]
% 4.92/1.16 % TRYING [5]
% 4.92/1.16 % TRYING [6]
% 4.92/1.16 % TRYING [7]
% 4.92/1.16 % (1721186)Instruction limit reached!
% 4.92/1.16 % (1721186)------------------------------
% 4.92/1.16 % (1721186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.16 % (1721186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.16 % (1721186)CaDiCaL version: 2.1.3
% 4.92/1.16 % (1721186)Termination reason: Instruction limit
% 4.92/1.16 % (1721186)Termination phase: Finite model building SAT solving
% 4.92/1.16 % (1721186)Time elapsed: 0.373 s
% 4.92/1.16 % (1721186)Peak memory usage: 19 MB
% 4.92/1.16 % (1721186)Instructions burned: 715 (million)
% 4.92/1.16 % TRYING [8]
% 4.92/1.16 % (1721198)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=144038507:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.92/1.16 % TRYING [10]
% 4.92/1.16 % (1721194)Instruction limit reached!
% 4.92/1.16 % (1721194)------------------------------
% 4.92/1.16 % (1721194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.16 % (1721194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.16 % (1721194)CaDiCaL version: 2.1.3
% 4.92/1.16 % (1721194)Termination reason: Instruction limit
% 4.92/1.16 % (1721194)Termination phase: Saturation
% 4.92/1.16 % (1721194)Time elapsed: 0.304 s
% 4.92/1.16 % (1721194)Peak memory usage: 14 MB
% 4.92/1.16 % (1721194)Instructions burned: 477 (million)
% 4.92/1.16 % (1721188)Instruction limit reached!
% 4.92/1.16 % (1721188)------------------------------
% 4.92/1.16 % (1721188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.16 % (1721188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.16 % (1721188)CaDiCaL version: 2.1.3
% 4.92/1.16 % (1721188)Termination reason: Instruction limit
% 4.92/1.16 % (1721188)Termination phase: Saturation
% 4.92/1.16 % (1721188)Time elapsed: 0.399 s
% 4.92/1.16 % (1721188)Peak memory usage: 18 MB
% 4.92/1.16 % (1721188)Instructions burned: 685 (million)
% 4.92/1.16 % (1721200)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1785982608:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.92/1.16 % TRYING [14]
% 4.92/1.16 % (1721201)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3644724128:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.92/1.16 % (1721196)Instruction limit reached!
% 4.92/1.16 % (1721196)------------------------------
% 4.92/1.16 % (1721196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.16 % (1721196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.16 % (1721196)CaDiCaL version: 2.1.3
% 4.92/1.16 % (1721196)Termination reason: Instruction limit
% 4.92/1.16 % (1721196)Termination phase: Finite model building SAT solving
% 4.92/1.16 % (1721196)Time elapsed: 0.313 s
% 4.92/1.16 % (1721196)Peak memory usage: 16 MB
% 4.92/1.16 % (1721196)Instructions burned: 870 (million)
% 4.92/1.16 % (1721204)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2861236080:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 4.92/1.16 % (1721201) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1721167-1721201"...
% 4.92/1.16 % (1721201)...printing done.
% 4.92/1.16 % (1721201)Refutation found. Thanks to Tanya!
% 4.92/1.16 % SZS status Theorem for theBenchmark
% 4.92/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 4.92/1.16 % (1721201)------------------------------
% 4.92/1.16 % (1721201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.16 % (1721201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.16 % (1721201)CaDiCaL version: 2.1.3
% 4.92/1.16 % (1721201)Termination reason: Refutation
% 4.92/1.16 % (1721201)Time elapsed: 0.182 s
% 4.92/1.16 % (1721201)Peak memory usage: 16 MB
% 4.92/1.16 % (1721201)Instructions burned: 345 (million)
% 4.92/1.16 % (1721167)Success in time 0.742 s
% 4.92/1.16 % Vampire exiting
%------------------------------------------------------------------------------