%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX217+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 01:46:45 PM UTC 2026
% Result : Theorem 1.79s 0.52s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 19
% Syntax : Number of formulae : 115 ( 67 unt; 1 def)
% Number of atoms : 172 ( 74 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 136 ( 79 ~; 53 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 74 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
half(zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
fof(f8,axiom,
half(suc(zero)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
fof(f9,axiom,
! [X0] : half(suc(suc(X0))) = suc(half(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_009) ).
fof(f10,axiom,
evenNat(zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_010) ).
fof(f11,axiom,
! [X0] :
( evenNat(suc(X0))
<=> ~ evenNat(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_011) ).
fof(f12,axiom,
shw(zero) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_012) ).
fof(f13,axiom,
! [X0] :
( evenNat(suc(X0))
=> shw(suc(X0)) = cons(o,shw(half(suc(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
fof(f14,axiom,
! [X0] :
( ~ evenNat(suc(X0))
=> shw(suc(X0)) = cons(i,shw(half(suc(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_014) ).
fof(f15,axiom,
! [X0] : append(nil,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
fof(f16,axiom,
! [X0,X1,X2] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
fof(f17,axiom,
! [X0] : addNat(zero,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_017) ).
fof(f18,axiom,
! [X0,X1] : addNat(suc(X1),X0) = suc(addNat(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_018) ).
fof(f19,axiom,
! [X0] : double(X0) = addNat(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_019) ).
fof(f20,axiom,
rd(nil) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_020) ).
fof(f21,axiom,
! [X0] : rd(cons(i,X0)) = suc(double(rd(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_021) ).
fof(f22,axiom,
! [X0] : rd(cons(o,X0)) = double(rd(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_022) ).
fof(f23,axiom,
! [X0,X1] : x(X0,X1) = rd(append(shw(X0),shw(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_023) ).
fof(f24,conjecture,
? [X0,X1] : x(X0,X1) != x(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_024) ).
fof(f25,negated_conjecture,
~ ? [X0,X1] : x(X0,X1) != x(X1,X0),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f26,plain,
! [X0] :
( shw(suc(X0)) = cons(o,shw(half(suc(X0))))
| ~ evenNat(suc(X0)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f27,plain,
! [X0] :
( shw(suc(X0)) = cons(i,shw(half(suc(X0))))
| evenNat(suc(X0)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0,X1] : x(X0,X1) = x(X1,X0),
inference(ennf_transformation,[],[f25]) ).
fof(f35,plain,
zero = half(zero),
inference(cnf_transformation,[],[f7]) ).
fof(f36,plain,
zero = half(suc(zero)),
inference(cnf_transformation,[],[f8]) ).
fof(f37,plain,
! [X0] : half(suc(suc(X0))) = suc(half(X0)),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
evenNat(zero),
inference(cnf_transformation,[],[f10]) ).
fof(f39,plain,
! [X0] :
( evenNat(suc(X0))
| evenNat(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0] :
( ~ evenNat(suc(X0))
| ~ evenNat(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f41,plain,
nil = shw(zero),
inference(cnf_transformation,[],[f12]) ).
fof(f42,plain,
! [X0] :
( ~ evenNat(suc(X0))
| shw(suc(X0)) = cons(o,shw(half(suc(X0)))) ),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
! [X0] :
( evenNat(suc(X0))
| shw(suc(X0)) = cons(i,shw(half(suc(X0)))) ),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
! [X0] : append(nil,X0) = X0,
inference(cnf_transformation,[],[f15]) ).
fof(f45,plain,
! [X2,X0,X1] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
! [X0] : addNat(zero,X0) = X0,
inference(cnf_transformation,[],[f17]) ).
fof(f47,plain,
! [X0,X1] : addNat(suc(X1),X0) = suc(addNat(X1,X0)),
inference(cnf_transformation,[],[f18]) ).
fof(f48,plain,
! [X0] : double(X0) = addNat(X0,X0),
inference(cnf_transformation,[],[f19]) ).
fof(f49,plain,
zero = rd(nil),
inference(cnf_transformation,[],[f20]) ).
fof(f50,plain,
! [X0] : rd(cons(i,X0)) = suc(double(rd(X0))),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0] : double(rd(X0)) = rd(cons(o,X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X0,X1] : x(X0,X1) = rd(append(shw(X0),shw(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f53,plain,
! [X0,X1] : x(X0,X1) = x(X1,X0),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
! [X0] : rd(cons(i,X0)) = suc(addNat(rd(X0),rd(X0))),
inference(definition_unfolding,[],[f50,f48]) ).
fof(f55,plain,
! [X0] : rd(cons(o,X0)) = addNat(rd(X0),rd(X0)),
inference(definition_unfolding,[],[f51,f48]) ).
fof(f56,plain,
! [X0,X1] : rd(append(shw(X0),shw(X1))) = rd(append(shw(X1),shw(X0))),
inference(definition_unfolding,[],[f53,f52,f52]) ).
fof(f63,plain,
rd(cons(o,nil)) = addNat(zero,zero),
inference(superposition,[],[f55,f49]) ).
fof(f64,plain,
zero = rd(cons(o,nil)),
inference(forward_demodulation,[],[f63,f46]) ).
fof(f152,plain,
! [X0] : rd(cons(i,X0)) = suc(rd(cons(o,X0))),
inference(forward_demodulation,[],[f54,f55]) ).
fof(f156,plain,
suc(zero) = rd(cons(i,nil)),
inference(superposition,[],[f152,f64]) ).
fof(f177,plain,
! [X0,X1] : suc(addNat(rd(cons(o,X0)),X1)) = addNat(rd(cons(i,X0)),X1),
inference(superposition,[],[f47,f152]) ).
fof(f179,plain,
! [X0] :
( ~ evenNat(rd(cons(o,X0)))
| ~ evenNat(rd(cons(i,X0))) ),
inference(superposition,[],[f40,f152]) ).
fof(f211,plain,
rd(cons(o,cons(i,nil))) = addNat(suc(zero),suc(zero)),
inference(superposition,[],[f55,f156]) ).
fof(f212,plain,
rd(cons(o,cons(i,nil))) = suc(addNat(zero,suc(zero))),
inference(forward_demodulation,[],[f211,f47]) ).
fof(f213,plain,
rd(cons(o,cons(i,nil))) = suc(suc(zero)),
inference(forward_demodulation,[],[f212,f46]) ).
fof(f243,plain,
( ~ evenNat(zero)
| ~ evenNat(rd(cons(i,nil))) ),
inference(superposition,[],[f179,f64]) ).
fof(f268,plain,
~ evenNat(rd(cons(i,nil))),
inference(forward_subsumption_resolution,[],[f243,f38]) ).
fof(f271,plain,
~ evenNat(suc(zero)),
inference(forward_demodulation,[],[f268,f156]) ).
fof(f319,plain,
shw(suc(zero)) = cons(i,shw(half(suc(zero)))),
inference(resolution,[],[f271,f43]) ).
fof(f321,plain,
cons(i,shw(zero)) = shw(suc(zero)),
inference(forward_demodulation,[],[f319,f36]) ).
fof(f322,plain,
cons(i,nil) = shw(suc(zero)),
inference(forward_demodulation,[],[f321,f41]) ).
fof(f340,plain,
! [X0] : rd(append(cons(i,nil),shw(X0))) = rd(append(shw(X0),cons(i,nil))),
inference(superposition,[],[f56,f322]) ).
fof(f419,plain,
! [X0] : rd(cons(i,append(nil,shw(X0)))) = rd(append(shw(X0),cons(i,nil))),
inference(forward_demodulation,[],[f340,f45]) ).
fof(f446,plain,
! [X0] : rd(cons(i,shw(X0))) = rd(append(shw(X0),cons(i,nil))),
inference(forward_demodulation,[],[f419,f44]) ).
fof(f586,plain,
rd(cons(i,cons(i,nil))) = suc(suc(suc(zero))),
inference(superposition,[],[f152,f213]) ).
fof(f587,plain,
rd(cons(o,cons(o,cons(i,nil)))) = addNat(suc(suc(zero)),suc(suc(zero))),
inference(superposition,[],[f55,f213]) ).
fof(f588,plain,
rd(cons(o,cons(o,cons(i,nil)))) = suc(addNat(suc(zero),suc(suc(zero)))),
inference(forward_demodulation,[],[f587,f47]) ).
fof(f594,definition,
( spl0_2
<=> evenNat(suc(suc(zero))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f595,plain,
( evenNat(suc(suc(zero)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f596,plain,
( ~ evenNat(suc(suc(zero)))
| spl0_2 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f599,plain,
rd(cons(o,cons(o,cons(i,nil)))) = suc(suc(addNat(zero,suc(suc(zero))))),
inference(forward_demodulation,[],[f588,f47]) ).
fof(f600,plain,
rd(cons(o,cons(o,cons(i,nil)))) = suc(suc(suc(suc(zero)))),
inference(forward_demodulation,[],[f599,f46]) ).
fof(f621,plain,
( evenNat(suc(zero))
| spl0_2 ),
inference(resolution,[],[f596,f39]) ).
fof(f622,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f621,f271]) ).
fof(f623,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f627,plain,
( shw(suc(suc(zero))) = cons(o,shw(half(suc(suc(zero)))))
| ~ spl0_2 ),
inference(resolution,[],[f595,f42]) ).
fof(f629,plain,
( shw(suc(suc(zero))) = cons(o,shw(suc(half(zero))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f627,f37]) ).
fof(f630,plain,
( cons(o,shw(suc(zero))) = shw(suc(suc(zero)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f629,f35]) ).
fof(f631,plain,
( cons(o,cons(i,nil)) = shw(suc(suc(zero)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f630,f322]) ).
fof(f642,plain,
rd(cons(o,cons(i,cons(i,nil)))) = addNat(suc(suc(suc(zero))),suc(suc(suc(zero)))),
inference(superposition,[],[f55,f586]) ).
fof(f643,plain,
rd(cons(o,cons(i,cons(i,nil)))) = suc(addNat(suc(suc(zero)),suc(suc(suc(zero))))),
inference(forward_demodulation,[],[f642,f47]) ).
fof(f645,plain,
rd(cons(o,cons(i,cons(i,nil)))) = suc(suc(addNat(suc(zero),suc(suc(suc(zero)))))),
inference(forward_demodulation,[],[f643,f47]) ).
fof(f646,plain,
rd(cons(o,cons(i,cons(i,nil)))) = suc(suc(suc(addNat(zero,suc(suc(suc(zero))))))),
inference(forward_demodulation,[],[f645,f47]) ).
fof(f647,plain,
rd(cons(o,cons(i,cons(i,nil)))) = suc(suc(suc(suc(suc(suc(zero)))))),
inference(forward_demodulation,[],[f646,f46]) ).
fof(f725,plain,
( ! [X0] : cons(o,append(cons(i,nil),X0)) = append(shw(suc(suc(zero))),X0)
| ~ spl0_2 ),
inference(superposition,[],[f45,f631]) ).
fof(f729,plain,
( ! [X0] : append(shw(suc(suc(zero))),X0) = cons(o,cons(i,append(nil,X0)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f725,f45]) ).
fof(f732,plain,
( ! [X0] : append(shw(suc(suc(zero))),X0) = cons(o,cons(i,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f729,f44]) ).
fof(f1586,plain,
! [X0,X1] :
( ~ evenNat(addNat(rd(cons(o,X0)),X1))
| ~ evenNat(addNat(rd(cons(i,X0)),X1)) ),
inference(superposition,[],[f40,f177]) ).
fof(f1860,plain,
( rd(cons(o,cons(i,cons(i,nil)))) = rd(cons(i,shw(suc(suc(zero)))))
| ~ spl0_2 ),
inference(superposition,[],[f446,f732]) ).
fof(f1886,plain,
( rd(cons(i,cons(i,cons(i,nil)))) = suc(rd(cons(i,shw(suc(suc(zero))))))
| ~ spl0_2 ),
inference(superposition,[],[f152,f1860]) ).
fof(f2285,plain,
( suc(suc(suc(suc(zero)))) = rd(cons(o,shw(suc(suc(zero)))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f600,f631]) ).
fof(f2328,plain,
( suc(suc(suc(suc(suc(zero))))) = rd(cons(i,shw(suc(suc(zero)))))
| ~ spl0_2 ),
inference(superposition,[],[f152,f2285]) ).
fof(f7982,plain,
! [X0] :
( ~ evenNat(addNat(suc(suc(suc(suc(suc(suc(zero)))))),X0))
| ~ evenNat(addNat(rd(cons(i,cons(i,cons(i,nil)))),X0)) ),
inference(superposition,[],[f1586,f647]) ).
fof(f7987,plain,
! [X0] :
( ~ evenNat(suc(addNat(suc(suc(suc(suc(suc(zero))))),X0)))
| ~ evenNat(addNat(rd(cons(i,cons(i,cons(i,nil)))),X0)) ),
inference(forward_demodulation,[],[f7982,f47]) ).
fof(f7995,plain,
! [X0] :
( ~ evenNat(suc(suc(addNat(suc(suc(suc(suc(zero)))),X0))))
| ~ evenNat(addNat(rd(cons(i,cons(i,cons(i,nil)))),X0)) ),
inference(forward_demodulation,[],[f7987,f47]) ).
fof(f8002,plain,
! [X0] :
( ~ evenNat(suc(suc(suc(addNat(suc(suc(suc(zero))),X0)))))
| ~ evenNat(addNat(rd(cons(i,cons(i,cons(i,nil)))),X0)) ),
inference(forward_demodulation,[],[f7995,f47]) ).
fof(f8007,plain,
! [X0] :
( ~ evenNat(suc(suc(suc(suc(addNat(suc(suc(zero)),X0))))))
| ~ evenNat(addNat(rd(cons(i,cons(i,cons(i,nil)))),X0)) ),
inference(forward_demodulation,[],[f8002,f47]) ).
fof(f8012,plain,
! [X0] :
( ~ evenNat(suc(suc(suc(suc(suc(addNat(suc(zero),X0)))))))
| ~ evenNat(addNat(rd(cons(i,cons(i,cons(i,nil)))),X0)) ),
inference(forward_demodulation,[],[f8007,f47]) ).
fof(f8017,plain,
! [X0] :
( ~ evenNat(suc(suc(suc(suc(suc(suc(addNat(zero,X0))))))))
| ~ evenNat(addNat(rd(cons(i,cons(i,cons(i,nil)))),X0)) ),
inference(forward_demodulation,[],[f8012,f47]) ).
fof(f8022,plain,
! [X0] :
( ~ evenNat(suc(suc(suc(suc(suc(suc(X0)))))))
| ~ evenNat(addNat(rd(cons(i,cons(i,cons(i,nil)))),X0)) ),
inference(forward_demodulation,[],[f8017,f46]) ).
fof(f8027,plain,
( ! [X0] :
( ~ evenNat(addNat(suc(rd(cons(i,shw(suc(suc(zero)))))),X0))
| ~ evenNat(suc(suc(suc(suc(suc(suc(X0))))))) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8022,f1886]) ).
fof(f8032,plain,
( ! [X0] :
( ~ evenNat(suc(addNat(rd(cons(i,shw(suc(suc(zero))))),X0)))
| ~ evenNat(suc(suc(suc(suc(suc(suc(X0))))))) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8027,f47]) ).
fof(f8037,plain,
( ! [X0] :
( ~ evenNat(suc(addNat(suc(suc(suc(suc(suc(zero))))),X0)))
| ~ evenNat(suc(suc(suc(suc(suc(suc(X0))))))) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8032,f2328]) ).
fof(f8042,plain,
( ! [X0] :
( ~ evenNat(suc(suc(addNat(suc(suc(suc(suc(zero)))),X0))))
| ~ evenNat(suc(suc(suc(suc(suc(suc(X0))))))) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8037,f47]) ).
fof(f8046,plain,
( ! [X0] :
( ~ evenNat(suc(suc(suc(addNat(suc(suc(suc(zero))),X0)))))
| ~ evenNat(suc(suc(suc(suc(suc(suc(X0))))))) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8042,f47]) ).
fof(f8049,plain,
( ! [X0] :
( ~ evenNat(suc(suc(suc(suc(addNat(suc(suc(zero)),X0))))))
| ~ evenNat(suc(suc(suc(suc(suc(suc(X0))))))) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8046,f47]) ).
fof(f8052,plain,
( ! [X0] :
( ~ evenNat(suc(suc(suc(suc(suc(addNat(suc(zero),X0)))))))
| ~ evenNat(suc(suc(suc(suc(suc(suc(X0))))))) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8049,f47]) ).
fof(f8055,plain,
( ! [X0] :
( ~ evenNat(suc(suc(suc(suc(suc(suc(addNat(zero,X0))))))))
| ~ evenNat(suc(suc(suc(suc(suc(suc(X0))))))) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8052,f47]) ).
fof(f8058,plain,
( ! [X0] :
( ~ evenNat(suc(suc(suc(suc(suc(suc(X0)))))))
| ~ evenNat(suc(suc(suc(suc(suc(suc(X0))))))) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f8055,f46]) ).
fof(f8059,plain,
( ! [X0] : ~ evenNat(suc(suc(suc(suc(suc(suc(X0)))))))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f8058]) ).
fof(f8089,plain,
( ! [X0] : evenNat(suc(suc(suc(suc(suc(X0))))))
| ~ spl0_2 ),
inference(resolution,[],[f8059,f39]) ).
fof(f8115,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f8089,f8059]) ).
fof(f8128,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f8115]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f623]) ).
cnf(s16,plain,
~ spl0_2,
inference(sat_conversion,[],[f8128]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s3,s16]) ).
fof(f8141,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX217+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:16:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 1.79/0.52 % (3698693)Will run a generic schedule for satisfiability detection.
% 1.79/0.52 % (3698704)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1398979517:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.79/0.52 % (3698699)% WARNING: option uhcvi not known.
% 1.79/0.52 % (3698698)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3265845354_2999 on theBenchmark for (2999ds/0Mi)
% 1.79/0.52 % (3698701)dis+10_1_sil=32000:sp=arity:random_seed=4112807188:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.79/0.52 % (3698700)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1484040163:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.79/0.52 % (3698703)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1400837382:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.79/0.52 % (3698699)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3336464762:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.79/0.52 % (3698702)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=891468916:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.79/0.52 % TRYING [1]
% 1.79/0.52 % TRYING [2]
% 1.79/0.52 % TRYING [3]
% 1.79/0.52 % TRYING [4]
% 1.79/0.52 % TRYING [5]
% 1.79/0.52 % TRYING [6]
% 1.79/0.52 % (3698704)Instruction limit reached!
% 1.79/0.52 % (3698704)------------------------------
% 1.79/0.52 % (3698704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.52 % (3698704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.52 % (3698704)CaDiCaL version: 2.1.3
% 1.79/0.52 % (3698704)Termination reason: Instruction limit
% 1.79/0.52 % (3698704)Termination phase: Saturation
% 1.79/0.52 % (3698704)Time elapsed: 0.056 s
% 1.79/0.52 % (3698704)Peak memory usage: 14 MB
% 1.79/0.52 % (3698704)Instructions burned: 161 (million)
% 1.79/0.52 % (3698701)Instruction limit reached!
% 1.79/0.52 % (3698701)------------------------------
% 1.79/0.52 % (3698701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.52 % (3698701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.52 % (3698701)CaDiCaL version: 2.1.3
% 1.79/0.52 % (3698701)Termination reason: Instruction limit
% 1.79/0.52 % (3698701)Termination phase: Saturation
% 1.79/0.52 % (3698701)Time elapsed: 0.056 s
% 1.79/0.52 % (3698701)Peak memory usage: 12 MB
% 1.79/0.52 % (3698701)Instructions burned: 103 (million)
% 1.79/0.52 % (3698712)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3652945534:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.79/0.52 % TRYING [1]
% 1.79/0.52 % TRYING [2]
% 1.79/0.52 % TRYING [3]
% 1.79/0.52 % TRYING [4]
% 1.79/0.52 % (3698702)Instruction limit reached!
% 1.79/0.52 % (3698702)------------------------------
% 1.79/0.52 % (3698702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.52 % (3698702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.52 % (3698702)CaDiCaL version: 2.1.3
% 1.79/0.52 % (3698702)Termination reason: Instruction limit
% 1.79/0.52 % (3698702)Termination phase: Saturation
% 1.79/0.52 % (3698702)Time elapsed: 0.064 s
% 1.79/0.52 % (3698702)Peak memory usage: 12 MB
% 1.79/0.52 % (3698702)Instructions burned: 117 (million)
% 1.79/0.52 % TRYING [5]
% 1.79/0.52 % TRYING [7]
% 1.79/0.52 % (3698703)Instruction limit reached!
% 1.79/0.52 % (3698703)------------------------------
% 1.79/0.52 % (3698703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.52 % (3698703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.52 % (3698703)CaDiCaL version: 2.1.3
% 1.79/0.52 % (3698703)Termination reason: Instruction limit
% 1.79/0.52 % (3698703)Termination phase: Saturation
% 1.79/0.52 % (3698703)Time elapsed: 0.072 s
% 1.79/0.52 % (3698703)Peak memory usage: 12 MB
% 1.79/0.52 % (3698703)Instructions burned: 131 (million)
% 1.79/0.52 % (3698713)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=777095432:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.79/0.52 % TRYING [6]
% 1.79/0.52 % (3698715)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=3656714205:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.79/0.52 % (3698716)ott-21_1_sil=16000:fs=off:random_seed=2348684042:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.79/0.52 % TRYING [7]
% 1.79/0.52 % TRYING [8]
% 1.79/0.52 % (3698713)Instruction limit reached!
% 1.79/0.52 % (3698713)------------------------------
% 1.79/0.52 % (3698713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.52 % (3698713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.52 % (3698713)CaDiCaL version: 2.1.3
% 1.79/0.52 % (3698713)Termination reason: Instruction limit
% 1.79/0.52 % (3698713)Termination phase: Saturation
% 1.79/0.52 % (3698713)Time elapsed: 0.076 s
% 1.79/0.52 % (3698713)Peak memory usage: 12 MB
% 1.79/0.52 % (3698713)Instructions burned: 132 (million)
% 1.79/0.52 % (3698720)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4144080527:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.79/0.52 % (3698716)Instruction limit reached!
% 1.79/0.52 % (3698716)------------------------------
% 1.79/0.52 % (3698716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.52 % (3698716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.52 % (3698716)CaDiCaL version: 2.1.3
% 1.79/0.52 % (3698716)Termination reason: Instruction limit
% 1.79/0.52 % (3698716)Termination phase: Saturation
% 1.79/0.52 % (3698716)Time elapsed: 0.086 s
% 1.79/0.52 % (3698716)Peak memory usage: 12 MB
% 1.79/0.52 % (3698716)Instructions burned: 181 (million)
% 1.79/0.52 % (3698722)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1814490361:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.79/0.52 % TRYING [1]
% 1.79/0.52 % TRYING [2]
% 1.79/0.52 % TRYING [3]
% 1.79/0.52 % TRYING [4]
% 1.79/0.52 % TRYING [8]
% 1.79/0.52 % TRYING [5]
% 1.79/0.52 % (3698712)Instruction limit reached!
% 1.79/0.52 % (3698712)------------------------------
% 1.79/0.52 % (3698712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.52 % (3698712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.52 % (3698712)CaDiCaL version: 2.1.3
% 1.79/0.52 % (3698712)Termination reason: Instruction limit
% 1.79/0.52 % (3698712)Termination phase: Finite model building constraint generation
% 1.79/0.52 % (3698712)Time elapsed: 0.169 s
% 1.79/0.52 % (3698712)Peak memory usage: 27 MB
% 1.79/0.52 % (3698712)Instructions burned: 719 (million)
% 1.79/0.52 % (3698724)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2330008612:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.79/0.52 % (3698715) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3698693-3698715"...
% 1.79/0.52 % (3698715)...printing done.
% 1.79/0.52 % (3698715)Refutation found. Thanks to Tanya!
% 1.79/0.52 % SZS status Theorem for theBenchmark
% 1.79/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.52 % (3698715)------------------------------
% 1.79/0.52 % (3698715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.52 % (3698715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.52 % (3698715)CaDiCaL version: 2.1.3
% 1.79/0.52 % (3698715)Termination reason: Refutation
% 1.79/0.52 % (3698715)Time elapsed: 0.178 s
% 1.79/0.52 % (3698715)Peak memory usage: 15 MB
% 1.79/0.52 % (3698715)Instructions burned: 372 (million)
% 1.79/0.52 % (3698693)Success in time 0.299 s
% 1.79/0.52 % Vampire exiting
%------------------------------------------------------------------------------