%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO038-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:35:57 AM UTC 2026
% Result : Unsatisfiable 49.85s 8.94s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 17
% Syntax : Number of formulae : 230 ( 214 unt; 15 def)
% Number of atoms : 251 ( 223 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 20 ~; 18 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-2 aty)
% Number of variables : 358 ( 0 sgn 358 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(add(inverse(add(inverse(add(X0,X1)),X2)),inverse(add(X0,inverse(add(inverse(X2),inverse(add(X2,X3)))))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dn1) ).
fof(f2,negated_conjecture,
( add(b,a) != add(a,b)
| add(add(a,b),c) != add(a,add(b,c))
| add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',huntinton) ).
fof(f3,plain,
( add(b,a) != add(a,b)
| add(add(a,b),c) != add(a,add(b,c))
| a != add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) ),
inference(reorient_equations,[],[f2]) ).
fof(f4,definition,
sF0 = add(b,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
add(b,a) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = add(a,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
add(a,b) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = add(sF1,c),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
add(sF1,c) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF3 = add(b,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f11,plain,
add(b,c) = sF3,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF4 = add(a,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f13,plain,
add(a,sF3) = sF4,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF5 = inverse(a),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f15,plain,
inverse(a) = sF5,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF6 = add(sF5,b),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f17,plain,
add(sF5,b) = sF6,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF7 = inverse(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f19,plain,
inverse(sF6) = sF7,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF8 = inverse(b),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f21,plain,
inverse(b) = sF8,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF9 = add(sF5,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f23,plain,
add(sF5,sF8) = sF9,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF10 = inverse(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f25,plain,
inverse(sF9) = sF10,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF11 = add(sF7,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f27,plain,
add(sF7,sF10) = sF11,
inference(reorient_equations,[],[f26]) ).
fof(f28,plain,
( sF0 != sF1
| sF2 != sF4
| a != sF11 ),
inference(definition_folding,[],[f3,f27,f25,f23,f21,f15,f19,f17,f15,f13,f11,f9,f7,f7,f5]) ).
fof(f30,definition,
( spl12_1
<=> a = sF11 ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f32,plain,
( a != sF11
| spl12_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f34,definition,
( spl12_2
<=> sF2 = sF4 ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f36,plain,
( sF2 != sF4
| spl12_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f38,definition,
( spl12_3
<=> sF0 = sF1 ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f40,plain,
( sF0 != sF1
| spl12_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f41,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f28,f38,f34,f30]) ).
fof(f42,plain,
add(add(a,b),c) = sF2,
inference(forward_demodulation,[],[f9,f7]) ).
fof(f43,plain,
add(a,add(b,c)) = sF4,
inference(forward_demodulation,[],[f13,f11]) ).
fof(f44,plain,
add(inverse(a),b) = sF6,
inference(forward_demodulation,[],[f17,f15]) ).
fof(f45,plain,
sF9 = add(sF5,inverse(b)),
inference(forward_demodulation,[],[f23,f21]) ).
fof(f46,plain,
add(inverse(a),inverse(b)) = sF9,
inference(forward_demodulation,[],[f45,f15]) ).
fof(f47,plain,
! [X2,X0,X1,X4,X5] : inverse(add(inverse(add(X0,X4)),inverse(add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(inverse(X4),inverse(add(X4,X5)))))))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f100,plain,
! [X0] : inverse(X0) = inverse(add(inverse(add(X0,inverse(X0))),X0)),
inference(superposition,[],[f47,f1]) ).
fof(f113,plain,
! [X0,X1] : inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(add(X0,X1)))))))) = X0,
inference(superposition,[],[f1,f100]) ).
fof(f132,plain,
! [X0] : inverse(add(inverse(X0),inverse(add(X0,X0)))) = X0,
inference(superposition,[],[f113,f113]) ).
fof(f133,plain,
! [X2,X0,X1] : inverse(add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,X0)))) = X0,
inference(superposition,[],[f1,f113]) ).
fof(f136,plain,
! [X2,X3,X0] : inverse(add(inverse(add(X0,X2)),inverse(add(inverse(X0),inverse(add(inverse(X2),inverse(add(X2,X3)))))))) = X2,
inference(superposition,[],[f1,f113]) ).
fof(f150,plain,
! [X2,X0] : inverse(add(inverse(add(X0,X2)),inverse(add(inverse(X0),X2)))) = X2,
inference(superposition,[],[f133,f113]) ).
fof(f202,plain,
! [X0,X1] : inverse(add(inverse(X1),X0)) = inverse(add(X0,inverse(add(X1,inverse(add(inverse(X1),X0)))))),
inference(superposition,[],[f133,f150]) ).
fof(f206,plain,
! [X2,X0,X1] : inverse(add(inverse(add(X0,X2)),inverse(add(inverse(add(X1,X0)),X2)))) = X2,
inference(superposition,[],[f133,f150]) ).
fof(f236,plain,
! [X2,X0,X1] : inverse(add(inverse(add(inverse(add(X1,X0)),X2)),inverse(add(X0,X2)))) = X2,
inference(superposition,[],[f206,f133]) ).
fof(f245,plain,
! [X0] : inverse(add(inverse(add(inverse(X0),X0)),inverse(X0))) = X0,
inference(superposition,[],[f206,f100]) ).
fof(f276,plain,
! [X0,X1] : inverse(add(inverse(add(inverse(X0),X1)),inverse(add(X0,X1)))) = X1,
inference(superposition,[],[f236,f100]) ).
fof(f320,plain,
! [X2,X0,X1] : add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,X0))) = inverse(add(X0,inverse(add(add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,X0))),add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,X0))))))),
inference(superposition,[],[f132,f133]) ).
fof(f321,plain,
! [X2,X0,X1] : add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X2,X0))) = inverse(add(X0,inverse(add(add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X2,X0))),add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X2,X0))))))),
inference(superposition,[],[f132,f236]) ).
fof(f322,plain,
! [X0,X1] : add(inverse(add(X1,X0)),inverse(add(inverse(X1),X0))) = inverse(add(X0,inverse(add(add(inverse(add(X1,X0)),inverse(add(inverse(X1),X0))),add(inverse(add(X1,X0)),inverse(add(inverse(X1),X0))))))),
inference(superposition,[],[f132,f150]) ).
fof(f323,plain,
! [X2,X0,X1] : add(inverse(add(X1,X0)),inverse(add(inverse(add(X2,X1)),X0))) = inverse(add(X0,inverse(add(add(inverse(add(X1,X0)),inverse(add(inverse(add(X2,X1)),X0))),add(inverse(add(X1,X0)),inverse(add(inverse(add(X2,X1)),X0))))))),
inference(superposition,[],[f132,f206]) ).
fof(f396,plain,
! [X0] : inverse(X0) = inverse(add(X0,inverse(add(inverse(X0),inverse(X0))))),
inference(superposition,[],[f133,f245]) ).
fof(f489,plain,
! [X2,X0,X1] : inverse(add(X1,X0)) = inverse(add(X0,inverse(add(inverse(X1),inverse(add(inverse(inverse(add(X1,X0))),inverse(add(inverse(add(X1,X0)),X2)))))))),
inference(superposition,[],[f1,f276]) ).
fof(f504,plain,
! [X0,X1] : add(inverse(add(inverse(X1),X0)),inverse(add(X1,X0))) = inverse(add(X0,inverse(add(add(inverse(add(inverse(X1),X0)),inverse(add(X1,X0))),add(inverse(add(inverse(X1),X0)),inverse(add(X1,X0))))))),
inference(superposition,[],[f132,f276]) ).
fof(f527,plain,
! [X2,X0,X1] : inverse(add(inverse(add(inverse(X0),X1)),inverse(add(X0,inverse(add(inverse(X1),inverse(add(X1,X2)))))))) = X1,
inference(superposition,[],[f1,f396]) ).
fof(f529,plain,
! [X0] : inverse(add(inverse(X0),inverse(add(X0,inverse(add(inverse(X0),inverse(X0))))))) = X0,
inference(superposition,[],[f113,f396]) ).
fof(f536,plain,
! [X0,X1] : inverse(add(inverse(X0),inverse(X0))) = inverse(add(inverse(add(inverse(add(X1,X0)),inverse(add(inverse(X0),inverse(X0))))),inverse(X0))),
inference(superposition,[],[f236,f396]) ).
fof(f549,plain,
! [X0] : add(X0,inverse(add(inverse(X0),inverse(X0)))) = inverse(add(inverse(X0),inverse(add(add(X0,inverse(add(inverse(X0),inverse(X0)))),add(X0,inverse(add(inverse(X0),inverse(X0)))))))),
inference(superposition,[],[f132,f396]) ).
fof(f554,plain,
! [X0] : inverse(add(inverse(X0),inverse(X0))) = X0,
inference(forward_demodulation,[],[f529,f202]) ).
fof(f555,plain,
! [X0] : inverse(X0) = inverse(add(X0,X0)),
inference(backward_demodulation,[],[f396,f554]) ).
fof(f561,plain,
! [X0,X1] : inverse(add(inverse(add(inverse(add(X1,X0)),X0)),inverse(X0))) = X0,
inference(backward_demodulation,[],[f536,f554]) ).
fof(f565,plain,
! [X0] : add(X0,X0) = inverse(add(inverse(X0),inverse(add(add(X0,X0),add(X0,X0))))),
inference(backward_demodulation,[],[f549,f554]) ).
fof(f607,plain,
! [X0] : add(X0,X0) = inverse(add(inverse(X0),inverse(add(X0,X0)))),
inference(backward_demodulation,[],[f565,f555]) ).
fof(f610,plain,
! [X2,X0,X1] : add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,X0))) = inverse(add(X0,inverse(add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,X0)))))),
inference(backward_demodulation,[],[f320,f555]) ).
fof(f612,plain,
! [X0,X1] : add(inverse(add(inverse(X1),X0)),inverse(add(X1,X0))) = inverse(add(X0,inverse(add(inverse(add(inverse(X1),X0)),inverse(add(X1,X0)))))),
inference(backward_demodulation,[],[f504,f555]) ).
fof(f613,plain,
! [X2,X0,X1] : add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X2,X0))) = inverse(add(X0,inverse(add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X2,X0)))))),
inference(backward_demodulation,[],[f321,f555]) ).
fof(f614,plain,
! [X2,X0,X1] : add(inverse(add(X1,X0)),inverse(add(inverse(add(X2,X1)),X0))) = inverse(add(X0,inverse(add(inverse(add(X1,X0)),inverse(add(inverse(add(X2,X1)),X0)))))),
inference(backward_demodulation,[],[f323,f555]) ).
fof(f615,plain,
! [X0,X1] : add(inverse(add(X1,X0)),inverse(add(inverse(X1),X0))) = inverse(add(X0,inverse(add(inverse(add(X1,X0)),inverse(add(inverse(X1),X0)))))),
inference(backward_demodulation,[],[f322,f555]) ).
fof(f619,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f554,f555]) ).
fof(f649,plain,
! [X2,X0,X1] : inverse(add(X1,X0)) = inverse(add(X0,inverse(add(inverse(X1),inverse(add(add(X1,X0),inverse(add(inverse(add(X1,X0)),X2)))))))),
inference(backward_demodulation,[],[f489,f619]) ).
fof(f688,plain,
! [X0,X1] : inverse(add(X0,X0)) = add(inverse(add(X1,X0)),inverse(add(inverse(X1),X0))),
inference(forward_demodulation,[],[f615,f150]) ).
fof(f689,plain,
! [X2,X0,X1] : inverse(add(X0,X0)) = add(inverse(add(X1,X0)),inverse(add(inverse(add(X2,X1)),X0))),
inference(forward_demodulation,[],[f614,f206]) ).
fof(f690,plain,
! [X2,X0,X1] : inverse(add(X0,X0)) = add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X2,X0))),
inference(forward_demodulation,[],[f613,f236]) ).
fof(f691,plain,
! [X0,X1] : inverse(add(X0,X0)) = add(inverse(add(inverse(X1),X0)),inverse(add(X1,X0))),
inference(forward_demodulation,[],[f612,f276]) ).
fof(f693,plain,
! [X2,X0,X1] : inverse(add(X0,X0)) = add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,X0))),
inference(forward_demodulation,[],[f610,f133]) ).
fof(f696,plain,
! [X0] : add(X0,X0) = inverse(add(inverse(X0),inverse(X0))),
inference(forward_demodulation,[],[f607,f555]) ).
fof(f711,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(add(inverse(X1),X0))),
inference(forward_demodulation,[],[f688,f555]) ).
fof(f712,plain,
! [X2,X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(add(inverse(add(X2,X1)),X0))),
inference(forward_demodulation,[],[f689,f555]) ).
fof(f713,plain,
! [X2,X0,X1] : inverse(X0) = add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X2,X0))),
inference(forward_demodulation,[],[f690,f555]) ).
fof(f714,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(inverse(X1),X0)),inverse(add(X1,X0))),
inference(forward_demodulation,[],[f691,f555]) ).
fof(f716,plain,
! [X2,X0,X1] : inverse(X0) = add(inverse(add(inverse(add(X1,X2)),X0)),inverse(add(X1,X0))),
inference(forward_demodulation,[],[f693,f555]) ).
fof(f719,plain,
! [X0] : inverse(inverse(X0)) = add(X0,X0),
inference(forward_demodulation,[],[f696,f555]) ).
fof(f825,plain,
! [X0] : add(X0,X0) = X0,
inference(forward_demodulation,[],[f719,f619]) ).
fof(f1171,plain,
! [X0,X1] : inverse(inverse(add(X1,X0))) = add(inverse(inverse(X0)),inverse(add(inverse(X1),inverse(add(X1,X0))))),
inference(superposition,[],[f716,f714]) ).
fof(f1173,plain,
! [X2,X0,X1] : inverse(inverse(add(X1,X0))) = add(inverse(inverse(X0)),inverse(add(inverse(add(X1,X2)),inverse(add(X1,X0))))),
inference(superposition,[],[f716,f716]) ).
fof(f1224,plain,
! [X2,X0,X1] : add(X0,inverse(add(inverse(add(X1,X2)),inverse(add(X1,X0))))) = inverse(inverse(add(X1,X0))),
inference(forward_demodulation,[],[f1173,f619]) ).
fof(f1226,plain,
! [X0,X1] : inverse(inverse(add(X1,X0))) = add(X0,inverse(add(inverse(X1),inverse(add(X1,X0))))),
inference(forward_demodulation,[],[f1171,f619]) ).
fof(f1257,plain,
! [X2,X0,X1] : add(X1,X0) = add(X0,inverse(add(inverse(add(X1,X2)),inverse(add(X1,X0))))),
inference(forward_demodulation,[],[f1224,f619]) ).
fof(f1258,plain,
! [X0,X1] : add(X1,X0) = add(X0,inverse(add(inverse(X1),inverse(add(X1,X0))))),
inference(forward_demodulation,[],[f1226,f619]) ).
fof(f1285,plain,
! [X0,X1] : inverse(inverse(X0)) = add(X0,inverse(add(inverse(add(X1,X0)),inverse(X0)))),
inference(superposition,[],[f716,f561]) ).
fof(f1316,plain,
! [X0,X1] : add(X0,inverse(add(inverse(add(X1,X0)),inverse(X0)))) = X0,
inference(forward_demodulation,[],[f1285,f619]) ).
fof(f1361,plain,
! [X0,X1] : inverse(inverse(add(X1,X0))) = add(inverse(inverse(X0)),inverse(add(X0,inverse(add(X1,X0))))),
inference(superposition,[],[f713,f713]) ).
fof(f1419,plain,
! [X0,X1] : inverse(inverse(add(X1,X0))) = add(X0,inverse(add(X0,inverse(add(X1,X0))))),
inference(forward_demodulation,[],[f1361,f619]) ).
fof(f1455,plain,
! [X0,X1] : add(X1,X0) = add(X0,inverse(add(X0,inverse(add(X1,X0))))),
inference(forward_demodulation,[],[f1419,f619]) ).
fof(f1485,plain,
! [X2,X0,X1] : inverse(inverse(add(inverse(X0),inverse(add(X0,X1))))) = add(inverse(add(X0,X1)),inverse(add(inverse(add(X2,X1)),inverse(add(inverse(X0),inverse(add(X0,X1))))))),
inference(superposition,[],[f712,f1258]) ).
fof(f1493,plain,
! [X0,X1] : inverse(inverse(add(inverse(X0),inverse(add(X0,inverse(X1)))))) = add(inverse(add(X1,inverse(add(inverse(X0),inverse(add(X0,inverse(X1))))))),inverse(add(X0,inverse(X1)))),
inference(superposition,[],[f711,f1258]) ).
fof(f1495,plain,
! [X2,X0,X1] : inverse(inverse(add(inverse(X0),inverse(add(X0,inverse(add(X1,X2))))))) = add(inverse(add(X0,inverse(add(X1,X2)))),inverse(add(X1,inverse(add(inverse(X0),inverse(add(X0,inverse(add(X1,X2))))))))),
inference(superposition,[],[f716,f1258]) ).
fof(f1496,plain,
! [X2,X0,X1] : inverse(inverse(add(inverse(X0),inverse(add(X0,inverse(add(X1,X2))))))) = add(inverse(add(X2,inverse(add(inverse(X0),inverse(add(X0,inverse(add(X1,X2)))))))),inverse(add(X0,inverse(add(X1,X2))))),
inference(superposition,[],[f712,f1258]) ).
fof(f1497,plain,
! [X2,X0,X1] : add(inverse(X0),inverse(add(X0,inverse(add(X1,X2))))) = add(inverse(add(X2,inverse(add(inverse(X0),inverse(add(X0,inverse(add(X1,X2)))))))),inverse(add(X0,inverse(add(X1,X2))))),
inference(forward_demodulation,[],[f1496,f619]) ).
fof(f1498,plain,
! [X2,X0,X1] : add(inverse(X0),inverse(add(X0,inverse(add(X1,X2))))) = add(inverse(add(X0,inverse(add(X1,X2)))),inverse(add(X1,inverse(add(inverse(X0),inverse(add(X0,inverse(add(X1,X2))))))))),
inference(forward_demodulation,[],[f1495,f619]) ).
fof(f1500,plain,
! [X0,X1] : add(inverse(X0),inverse(add(X0,inverse(X1)))) = add(inverse(add(X1,inverse(add(inverse(X0),inverse(add(X0,inverse(X1))))))),inverse(add(X0,inverse(X1)))),
inference(forward_demodulation,[],[f1493,f619]) ).
fof(f1505,plain,
! [X2,X0,X1] : add(inverse(X0),inverse(add(X0,X1))) = add(inverse(add(X0,X1)),inverse(add(inverse(add(X2,X1)),inverse(add(inverse(X0),inverse(add(X0,X1))))))),
inference(forward_demodulation,[],[f1485,f619]) ).
fof(f1856,plain,
! [X0,X1] : inverse(X0) = inverse(add(inverse(inverse(X0)),inverse(add(X0,inverse(add(inverse(inverse(X0)),inverse(add(inverse(X0),X1)))))))),
inference(superposition,[],[f527,f825]) ).
fof(f1984,plain,
! [X0,X1] : inverse(X0) = inverse(add(X0,inverse(add(X0,inverse(add(X0,inverse(add(inverse(X0),X1)))))))),
inference(forward_demodulation,[],[f1856,f619]) ).
fof(f2045,plain,
! [X0,X1] : inverse(add(inverse(X0),inverse(add(inverse(X0),inverse(add(inverse(X0),inverse(add(X0,X1)))))))) = X0,
inference(superposition,[],[f136,f825]) ).
fof(f2111,plain,
! [X0,X1] : inverse(add(inverse(add(X1,X0)),inverse(add(X0,inverse(X1))))) = X0,
inference(superposition,[],[f136,f1258]) ).
fof(f2290,plain,
inverse(a) = inverse(add(inverse(add(b,inverse(a))),inverse(sF9))),
inference(superposition,[],[f2111,f46]) ).
fof(f2304,plain,
! [X0,X1] : inverse(inverse(add(X0,inverse(X1)))) = add(X0,inverse(add(X0,inverse(add(X0,inverse(X1)))))),
inference(superposition,[],[f713,f2111]) ).
fof(f2319,plain,
! [X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(add(X0,inverse(X1)))),
inference(superposition,[],[f619,f2111]) ).
fof(f2348,plain,
! [X0,X1] : add(X0,inverse(X1)) = add(X0,inverse(add(X0,inverse(add(X0,inverse(X1)))))),
inference(forward_demodulation,[],[f2304,f619]) ).
fof(f2360,plain,
inverse(a) = inverse(add(inverse(add(b,inverse(a))),sF10)),
inference(forward_demodulation,[],[f2290,f25]) ).
fof(f2382,plain,
! [X0,X1] : inverse(X0) = inverse(add(X0,inverse(add(inverse(X0),X1)))),
inference(backward_demodulation,[],[f1984,f2348]) ).
fof(f2383,plain,
! [X0,X1] : inverse(add(inverse(X0),inverse(add(X0,X1)))) = X0,
inference(backward_demodulation,[],[f2045,f2348]) ).
fof(f2429,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(backward_demodulation,[],[f1258,f2383]) ).
fof(f2434,plain,
! [X2,X0,X1] : add(inverse(X0),inverse(add(X0,X1))) = add(inverse(add(X0,X1)),inverse(add(inverse(add(X2,X1)),X0))),
inference(backward_demodulation,[],[f1505,f2383]) ).
fof(f2471,plain,
! [X0,X1] : add(inverse(X0),inverse(add(X0,inverse(X1)))) = add(inverse(add(X1,X0)),inverse(add(X0,inverse(X1)))),
inference(backward_demodulation,[],[f1500,f2383]) ).
fof(f2474,plain,
! [X2,X0,X1] : add(inverse(X0),inverse(add(X0,inverse(add(X1,X2))))) = add(inverse(add(X0,inverse(add(X1,X2)))),inverse(add(X1,X0))),
inference(backward_demodulation,[],[f1498,f2383]) ).
fof(f2475,plain,
! [X2,X0,X1] : add(inverse(X0),inverse(add(X0,inverse(add(X1,X2))))) = add(inverse(add(X2,X0)),inverse(add(X0,inverse(add(X1,X2))))),
inference(backward_demodulation,[],[f1497,f2383]) ).
fof(f2503,plain,
! [X0,X1] : inverse(add(X1,X0)) = inverse(add(X0,inverse(add(inverse(X1),inverse(add(X1,X0)))))),
inference(backward_demodulation,[],[f649,f2382]) ).
fof(f2511,plain,
! [X0,X1] : inverse(X0) = add(inverse(X0),inverse(add(X0,inverse(X1)))),
inference(forward_demodulation,[],[f2471,f2319]) ).
fof(f2550,plain,
! [X0,X1] : inverse(add(X0,X1)) = inverse(add(X1,X0)),
inference(forward_demodulation,[],[f2503,f2383]) ).
fof(f2560,plain,
! [X2,X0,X1] : inverse(X0) = add(inverse(add(X0,inverse(add(X1,X2)))),inverse(add(X1,X0))),
inference(backward_demodulation,[],[f2474,f2511]) ).
fof(f2561,plain,
! [X2,X0,X1] : inverse(X0) = add(inverse(add(X2,X0)),inverse(add(X0,inverse(add(X1,X2))))),
inference(backward_demodulation,[],[f2475,f2511]) ).
fof(f2573,plain,
! [X2,X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(add(X0,inverse(add(X1,X2))))),
inference(forward_demodulation,[],[f2560,f2429]) ).
fof(f2641,plain,
! [X2,X0,X1] : inverse(X0) = add(inverse(add(X0,X1)),inverse(add(inverse(add(X2,X1)),X0))),
inference(superposition,[],[f712,f2429]) ).
fof(f2662,plain,
! [X2,X0,X1] : inverse(X1) = add(inverse(add(X0,X1)),inverse(add(inverse(add(X0,X2)),X1))),
inference(superposition,[],[f716,f2429]) ).
fof(f2669,plain,
sF6 = add(b,inverse(a)),
inference(superposition,[],[f44,f2429]) ).
fof(f2670,plain,
sF4 = add(a,add(c,b)),
inference(superposition,[],[f43,f2429]) ).
fof(f2672,plain,
sF2 = add(add(b,a),c),
inference(superposition,[],[f42,f2429]) ).
fof(f2679,plain,
sF2 = add(c,add(b,a)),
inference(forward_demodulation,[],[f2672,f2429]) ).
fof(f2681,plain,
inverse(a) = inverse(add(inverse(sF6),sF10)),
inference(backward_demodulation,[],[f2360,f2669]) ).
fof(f2694,plain,
! [X0,X1] : inverse(X0) = add(inverse(X0),inverse(add(X0,X1))),
inference(backward_demodulation,[],[f2434,f2641]) ).
fof(f2714,plain,
sF2 = add(c,sF0),
inference(forward_demodulation,[],[f2679,f5]) ).
fof(f2715,plain,
inverse(a) = inverse(add(sF7,sF10)),
inference(forward_demodulation,[],[f2681,f19]) ).
fof(f2736,plain,
inverse(a) = inverse(sF11),
inference(forward_demodulation,[],[f2715,f27]) ).
fof(f2791,plain,
! [X0,X1] : add(X0,inverse(add(inverse(X0),X1))) = X0,
inference(superposition,[],[f2694,f619]) ).
fof(f2800,plain,
! [X0,X1] : inverse(X1) = add(inverse(X1),inverse(add(X0,X1))),
inference(superposition,[],[f2694,f2429]) ).
fof(f2807,plain,
! [X0,X1] : inverse(inverse(add(X1,X0))) = add(inverse(inverse(add(X1,X0))),inverse(inverse(X0))),
inference(superposition,[],[f2694,f712]) ).
fof(f2826,plain,
! [X0,X1] : inverse(inverse(add(X0,X1))) = add(inverse(inverse(X0)),inverse(add(inverse(inverse(X0)),inverse(add(X0,X1))))),
inference(superposition,[],[f711,f2694]) ).
fof(f2842,plain,
! [X0,X1] : inverse(inverse(add(X0,X1))) = add(X0,inverse(add(X0,inverse(add(X0,X1))))),
inference(forward_demodulation,[],[f2826,f619]) ).
fof(f2869,plain,
! [X0,X1] : inverse(inverse(add(X1,X0))) = add(inverse(inverse(X0)),inverse(inverse(add(X1,X0)))),
inference(forward_demodulation,[],[f2807,f2429]) ).
fof(f2904,plain,
! [X0,X1] : add(X0,X1) = add(X0,inverse(add(X0,inverse(add(X0,X1))))),
inference(forward_demodulation,[],[f2842,f619]) ).
fof(f2931,plain,
! [X0,X1] : add(X1,X0) = add(inverse(inverse(X0)),add(X1,X0)),
inference(forward_demodulation,[],[f2869,f619]) ).
fof(f2984,plain,
! [X0,X1] : add(X1,X0) = add(X0,add(X1,X0)),
inference(forward_demodulation,[],[f2931,f619]) ).
fof(f3206,plain,
! [X2,X0,X1] : inverse(X2) = add(inverse(add(add(X1,X0),X2)),inverse(add(inverse(add(X0,X1)),X2))),
inference(superposition,[],[f711,f2550]) ).
fof(f3210,plain,
! [X2,X0,X1] : add(X1,X0) = add(add(X1,X0),inverse(add(inverse(add(X2,add(X1,X0))),inverse(add(X0,X1))))),
inference(superposition,[],[f1316,f2550]) ).
fof(f3211,plain,
! [X2,X0,X1] : inverse(add(X0,X1)) = add(inverse(add(X0,X1)),inverse(add(add(X1,X0),X2))),
inference(superposition,[],[f2694,f2550]) ).
fof(f3212,plain,
! [X2,X0,X1] : add(X1,X0) = add(add(X1,X0),inverse(add(inverse(add(X0,X1)),inverse(add(X2,add(X1,X0)))))),
inference(forward_demodulation,[],[f3210,f2550]) ).
fof(f3345,plain,
! [X2,X0,X1] : inverse(add(X0,X1)) = add(inverse(add(X0,X1)),inverse(add(X2,add(X1,X0)))),
inference(superposition,[],[f2800,f2550]) ).
fof(f3430,plain,
! [X0,X1] : add(X1,X0) = add(add(X1,X0),inverse(inverse(add(X0,X1)))),
inference(backward_demodulation,[],[f3212,f3345]) ).
fof(f3458,plain,
! [X0,X1] : add(X1,X0) = add(add(X1,X0),add(X0,X1)),
inference(forward_demodulation,[],[f3430,f619]) ).
fof(f3481,plain,
! [X2,X0,X1] : add(X1,X0) = add(add(X1,X0),inverse(add(inverse(add(X0,X1)),X2))),
inference(superposition,[],[f2791,f2550]) ).
fof(f3595,plain,
sF11 = inverse(inverse(a)),
inference(superposition,[],[f619,f2736]) ).
fof(f3606,plain,
a = sF11,
inference(forward_demodulation,[],[f3595,f619]) ).
fof(f3608,plain,
( $false
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f3606,f32]) ).
fof(f3609,plain,
spl12_1,
inference(avatar_contradiction_clause,[],[f3608]) ).
fof(f3703,plain,
! [X0,X1] : add(X0,X1) = add(add(X1,X0),add(X0,X1)),
inference(superposition,[],[f2984,f3458]) ).
fof(f3940,plain,
inverse(b) = add(inverse(sF6),inverse(add(b,inverse(inverse(a))))),
inference(superposition,[],[f2319,f44]) ).
fof(f4070,plain,
inverse(b) = add(inverse(sF6),inverse(add(b,a))),
inference(forward_demodulation,[],[f3940,f619]) ).
fof(f4116,plain,
inverse(b) = add(inverse(add(b,a)),inverse(sF6)),
inference(forward_demodulation,[],[f4070,f2429]) ).
fof(f4154,plain,
inverse(b) = add(inverse(add(b,a)),sF7),
inference(forward_demodulation,[],[f4116,f19]) ).
fof(f4167,plain,
inverse(b) = add(sF7,inverse(add(b,a))),
inference(forward_demodulation,[],[f4154,f2429]) ).
fof(f4169,plain,
inverse(b) = add(sF7,inverse(sF0)),
inference(forward_demodulation,[],[f4167,f5]) ).
fof(f4171,plain,
inverse(b) = add(inverse(sF0),sF7),
inference(forward_demodulation,[],[f4169,f2429]) ).
fof(f4645,plain,
! [X0] : inverse(X0) = add(inverse(add(inverse(inverse(b)),X0)),inverse(add(inverse(sF0),X0))),
inference(superposition,[],[f716,f4171]) ).
fof(f4664,plain,
! [X0] : inverse(X0) = add(inverse(add(b,X0)),inverse(add(inverse(sF0),X0))),
inference(forward_demodulation,[],[f4645,f619]) ).
fof(f5931,plain,
! [X0,X1] : add(X1,X0) = add(X0,inverse(add(X0,inverse(add(X0,X1))))),
inference(superposition,[],[f1455,f2550]) ).
fof(f6299,plain,
! [X2,X0,X1] : add(add(X1,X0),X2) = add(X2,inverse(add(inverse(add(X0,X1)),inverse(add(add(X1,X0),X2))))),
inference(superposition,[],[f1257,f3703]) ).
fof(f6319,plain,
! [X2,X0,X1] : add(add(X1,X0),X2) = add(X2,inverse(inverse(add(X0,X1)))),
inference(forward_demodulation,[],[f6299,f3211]) ).
fof(f6396,plain,
! [X2,X0,X1] : add(add(X1,X0),X2) = add(X2,add(X0,X1)),
inference(forward_demodulation,[],[f6319,f619]) ).
fof(f14045,plain,
! [X0,X1] : add(X1,inverse(add(X0,X1))) = add(X1,inverse(add(X1,X0))),
inference(superposition,[],[f2904,f5931]) ).
fof(f41869,plain,
! [X2,X0,X1] : inverse(inverse(add(X0,inverse(add(X1,X2))))) = add(inverse(inverse(X0)),inverse(add(X1,inverse(add(X0,inverse(add(X1,X2))))))),
inference(superposition,[],[f716,f2573]) ).
fof(f42055,plain,
! [X2,X0,X1] : add(X0,inverse(add(X1,inverse(add(X0,inverse(add(X1,X2))))))) = inverse(inverse(add(X0,inverse(add(X1,X2))))),
inference(forward_demodulation,[],[f41869,f619]) ).
fof(f42350,plain,
! [X2,X0,X1] : add(X0,inverse(add(X1,X2))) = add(X0,inverse(add(X1,inverse(add(X0,inverse(add(X1,X2))))))),
inference(forward_demodulation,[],[f42055,f619]) ).
fof(f61494,plain,
! [X2,X0,X1] : inverse(inverse(add(inverse(add(X1,X2)),X0))) = add(inverse(inverse(X0)),inverse(add(add(X2,X1),inverse(add(inverse(add(X1,X2)),X0))))),
inference(superposition,[],[f716,f3206]) ).
fof(f61693,plain,
! [X2,X0,X1] : inverse(inverse(add(inverse(add(X1,X2)),X0))) = add(inverse(inverse(X0)),inverse(add(X2,X1))),
inference(forward_demodulation,[],[f61494,f3481]) ).
fof(f62168,plain,
! [X2,X0,X1] : inverse(inverse(add(inverse(add(X1,X2)),X0))) = add(X0,inverse(add(X2,X1))),
inference(forward_demodulation,[],[f61693,f619]) ).
fof(f62538,plain,
! [X2,X0,X1] : add(inverse(add(X1,X2)),X0) = add(X0,inverse(add(X2,X1))),
inference(forward_demodulation,[],[f62168,f619]) ).
fof(f63013,plain,
! [X2,X3,X0,X1] : add(inverse(add(inverse(add(X1,X0)),X2)),X3) = add(X3,inverse(add(inverse(add(X0,X1)),X2))),
inference(superposition,[],[f62538,f62538]) ).
fof(f63283,plain,
! [X2,X0,X1] : add(X0,inverse(add(X1,X2))) = add(X0,inverse(add(X2,X1))),
inference(superposition,[],[f2429,f62538]) ).
fof(f64683,plain,
! [X2,X3,X0,X1] : add(X3,inverse(add(inverse(add(X2,X1)),X0))) = add(X3,inverse(add(X0,inverse(add(X1,X2))))),
inference(superposition,[],[f63283,f63283]) ).
fof(f79403,plain,
! [X0,X1] : add(X0,inverse(inverse(X0))) = add(X0,inverse(add(inverse(add(X1,X0)),X1))),
inference(superposition,[],[f42350,f2561]) ).
fof(f79789,plain,
! [X0,X1] : add(X0,inverse(inverse(X0))) = add(X0,inverse(add(X1,inverse(add(X0,X1))))),
inference(forward_demodulation,[],[f79403,f64683]) ).
fof(f80004,plain,
! [X0,X1] : add(X0,X0) = add(X0,inverse(add(X1,inverse(add(X0,X1))))),
inference(forward_demodulation,[],[f79789,f619]) ).
fof(f80108,plain,
! [X0,X1] : add(X0,inverse(add(X1,inverse(add(X0,X1))))) = X0,
inference(forward_demodulation,[],[f80004,f825]) ).
fof(f80442,plain,
! [X0,X1] : add(X1,inverse(X0)) = add(X1,inverse(add(X0,X1))),
inference(superposition,[],[f42350,f80108]) ).
fof(f80836,plain,
! [X0,X1] : add(X1,inverse(X0)) = add(X1,inverse(add(X1,X0))),
inference(backward_demodulation,[],[f14045,f80442]) ).
fof(f87718,plain,
! [X2,X0,X1] : add(inverse(add(inverse(add(X1,X2)),X0)),inverse(inverse(add(X1,X0)))) = add(inverse(add(inverse(add(X1,X2)),X0)),inverse(inverse(X0))),
inference(superposition,[],[f80442,f2662]) ).
fof(f87744,plain,
! [X0] : add(inverse(add(inverse(sF0),X0)),inverse(inverse(X0))) = add(inverse(add(inverse(sF0),X0)),inverse(inverse(add(b,X0)))),
inference(superposition,[],[f80442,f4664]) ).
fof(f88179,plain,
! [X0] : add(inverse(add(inverse(sF0),X0)),inverse(inverse(X0))) = add(inverse(inverse(add(b,X0))),inverse(add(X0,inverse(sF0)))),
inference(forward_demodulation,[],[f87744,f62538]) ).
fof(f88205,plain,
! [X2,X0,X1] : add(inverse(inverse(X0)),inverse(add(inverse(add(X2,X1)),X0))) = add(inverse(add(inverse(add(X1,X2)),X0)),inverse(inverse(add(X1,X0)))),
inference(forward_demodulation,[],[f87718,f63013]) ).
fof(f88388,plain,
! [X0] : add(inverse(add(inverse(sF0),X0)),inverse(inverse(X0))) = add(add(b,X0),inverse(add(X0,inverse(sF0)))),
inference(forward_demodulation,[],[f88179,f619]) ).
fof(f88412,plain,
! [X2,X0,X1] : add(inverse(inverse(add(X1,X0))),inverse(add(inverse(add(X2,X1)),X0))) = add(inverse(inverse(X0)),inverse(add(inverse(add(X2,X1)),X0))),
inference(forward_demodulation,[],[f88205,f63013]) ).
fof(f88551,plain,
! [X0] : add(inverse(inverse(X0)),inverse(add(X0,inverse(sF0)))) = add(add(b,X0),inverse(add(X0,inverse(sF0)))),
inference(forward_demodulation,[],[f88388,f62538]) ).
fof(f88575,plain,
! [X2,X0,X1] : add(inverse(inverse(add(X1,X0))),inverse(add(inverse(add(X2,X1)),X0))) = add(X0,inverse(add(inverse(add(X2,X1)),X0))),
inference(forward_demodulation,[],[f88412,f619]) ).
fof(f88673,plain,
! [X0] : add(X0,inverse(add(X0,inverse(sF0)))) = add(add(b,X0),inverse(add(X0,inverse(sF0)))),
inference(forward_demodulation,[],[f88551,f619]) ).
fof(f88694,plain,
! [X2,X0,X1] : add(inverse(inverse(add(X1,X0))),inverse(add(inverse(add(X2,X1)),X0))) = add(X0,inverse(inverse(add(X2,X1)))),
inference(forward_demodulation,[],[f88575,f80442]) ).
fof(f88762,plain,
! [X0] : add(X0,inverse(inverse(sF0))) = add(add(b,X0),inverse(add(X0,inverse(sF0)))),
inference(forward_demodulation,[],[f88673,f80836]) ).
fof(f88789,plain,
! [X2,X0,X1] : add(inverse(inverse(add(X1,X0))),inverse(add(inverse(add(X2,X1)),X0))) = add(X0,add(X2,X1)),
inference(forward_demodulation,[],[f88694,f619]) ).
fof(f88843,plain,
! [X0] : add(X0,sF0) = add(add(b,X0),inverse(add(X0,inverse(sF0)))),
inference(forward_demodulation,[],[f88762,f619]) ).
fof(f88869,plain,
! [X2,X0,X1] : add(add(X1,X0),inverse(add(inverse(add(X2,X1)),X0))) = add(X0,add(X2,X1)),
inference(forward_demodulation,[],[f88789,f619]) ).
fof(f172455,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X2,X0),inverse(add(inverse(add(X1,X2)),inverse(add(X0,add(X1,X2)))))),
inference(superposition,[],[f42350,f88869]) ).
fof(f172637,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X2,X0),inverse(inverse(add(X1,X2)))),
inference(forward_demodulation,[],[f172455,f2800]) ).
fof(f173247,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X2,X0),add(X1,X2)),
inference(forward_demodulation,[],[f172637,f619]) ).
fof(f174555,plain,
! [X0] : add(a,add(X0,b)) = add(sF0,add(X0,b)),
inference(superposition,[],[f173247,f5]) ).
fof(f174995,plain,
! [X2,X0,X1] : add(add(X1,X2),inverse(add(X0,add(X1,X2)))) = add(add(X1,X2),inverse(add(X2,X0))),
inference(superposition,[],[f80442,f173247]) ).
fof(f175037,plain,
! [X2,X0,X1] : add(add(X1,X2),inverse(X0)) = add(add(X1,X2),inverse(add(X2,X0))),
inference(forward_demodulation,[],[f174995,f80442]) ).
fof(f175557,plain,
! [X0] : add(X0,sF0) = add(add(b,X0),inverse(inverse(sF0))),
inference(backward_demodulation,[],[f88843,f175037]) ).
fof(f175828,plain,
! [X0] : add(X0,sF0) = add(add(b,X0),sF0),
inference(forward_demodulation,[],[f175557,f619]) ).
fof(f175966,plain,
! [X0] : add(X0,sF0) = add(sF0,add(X0,b)),
inference(forward_demodulation,[],[f175828,f6396]) ).
fof(f176067,plain,
! [X0] : add(X0,sF0) = add(a,add(X0,b)),
inference(backward_demodulation,[],[f174555,f175966]) ).
fof(f176161,plain,
sF4 = add(c,sF0),
inference(backward_demodulation,[],[f2670,f176067]) ).
fof(f176226,plain,
sF2 = sF4,
inference(forward_demodulation,[],[f176161,f2714]) ).
fof(f176262,plain,
( $false
| spl12_2 ),
inference(forward_subsumption_resolution,[],[f176226,f36]) ).
fof(f176263,plain,
spl12_2,
inference(avatar_contradiction_clause,[],[f176262]) ).
fof(f176609,plain,
( add(a,b) != sF0
| spl12_3 ),
inference(forward_demodulation,[],[f40,f7]) ).
fof(f176674,plain,
( add(b,a) != sF0
| spl12_3 ),
inference(forward_demodulation,[],[f176609,f2429]) ).
fof(f176702,plain,
( $false
| spl12_3 ),
inference(forward_subsumption_resolution,[],[f176674,f5]) ).
fof(f176703,plain,
spl12_3,
inference(avatar_contradiction_clause,[],[f176702]) ).
cnf(s1,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3 ),
inference(sat_conversion,[],[f41]) ).
cnf(s2,plain,
spl12_1,
inference(sat_conversion,[],[f3609]) ).
cnf(s3,plain,
spl12_2,
inference(sat_conversion,[],[f176263]) ).
cnf(s4,plain,
spl12_3,
inference(sat_conversion,[],[f176703]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3,s2]) ).
fof(f176747,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO038-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:05:34 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 10.77/2.19 % (559249)Input is clausal, will run a generic CNF schedule.
% 10.77/2.19 % (559396)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3875170011:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.77/2.19 % (559393)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=132841344:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.77/2.19 % (559395)lrs+10_1_sil=8000:sp=occurrence:random_seed=3312612798:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.77/2.19 % (559394)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3938436815:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.77/2.19 % (559392)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=253597238:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.77/2.19 % (559396)Instruction limit reached!
% 10.77/2.19 % (559396)------------------------------
% 10.77/2.19 % (559396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (559396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (559396)CaDiCaL version: 2.1.3
% 10.77/2.19 % (559396)Termination reason: Instruction limit
% 10.77/2.19 % (559396)Termination phase: Saturation
% 10.77/2.19 % (559396)Time elapsed: 0.040 s
% 10.77/2.19 % (559396)Peak memory usage: 90 MB
% 10.77/2.19 % (559396)Instructions burned: 114 (million)
% 10.77/2.19 % (559398)dis-21_1_sil=8000:lcm=predicate:random_seed=1921467056:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.77/2.19 % (559397)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1929472497:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.77/2.19 % (559398)Refutation not found, incomplete strategy
% 10.77/2.19 % (559398)------------------------------
% 10.77/2.19 % (559398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (559398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (559398)CaDiCaL version: 2.1.3
% 10.77/2.19 % (559398)Termination reason: Refutation not found, incomplete strategy
% 10.77/2.19 % (559398)Time elapsed: 0.001 s
% 10.77/2.19 % (559398)Peak memory usage: 88 MB
% 10.77/2.19 % (559395)Instruction limit reached!
% 10.77/2.19 % (559395)------------------------------
% 10.77/2.19 % (559395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (559395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (559395)CaDiCaL version: 2.1.3
% 10.77/2.19 % (559395)Termination reason: Instruction limit
% 10.77/2.19 % (559395)Termination phase: Saturation
% 10.77/2.19 % (559395)Time elapsed: 0.066 s
% 10.77/2.19 % (559395)Peak memory usage: 89 MB
% 10.77/2.19 % (559395)Instructions burned: 107 (million)
% 10.77/2.19 % (559397)Instruction limit reached!
% 10.77/2.19 % (559397)------------------------------
% 10.77/2.19 % (559397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (559397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (559397)CaDiCaL version: 2.1.3
% 10.77/2.19 % (559397)Termination reason: Instruction limit
% 10.77/2.19 % (559397)Termination phase: Saturation
% 10.77/2.19 % (559397)Time elapsed: 0.103 s
% 10.77/2.19 % (559397)Peak memory usage: 90 MB
% 10.77/2.19 % (559397)Instructions burned: 180 (million)
% 10.77/2.19 % (559458)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3228200735:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.77/2.19 % (559458)Refutation not found, incomplete strategy
% 10.77/2.19 % (559458)------------------------------
% 10.77/2.19 % (559458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.77/2.19 % (559458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/2.19 % (559458)CaDiCaL version: 2.1.3
% 10.77/2.19 % (559458)Termination reason: Refutation not found, incomplete strategy
% 10.77/2.19 % (559458)Time elapsed: 0.001 s
% 10.77/2.19 % (559458)Peak memory usage: 88 MB
% 10.77/2.19 % (559486)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4141520340:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 22.95/3.92 % (559486)Refutation not found, incomplete strategy
% 22.95/3.92 % (559486)------------------------------
% 22.95/3.92 % (559486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.95/3.92 % (559486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.95/3.92 % (559486)CaDiCaL version: 2.1.3
% 22.95/3.92 % (559486)Termination reason: Refutation not found, incomplete strategy
% 22.95/3.92 % (559486)Time elapsed: 0.001 s
% 22.95/3.92 % (559486)Peak memory usage: 88 MB
% 22.95/3.92 % (559398)------------------------------
% 22.95/3.92 % (559398)------------------------------
% 22.95/3.92 % (559503)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2246458981:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 22.95/3.92 % (559503)Refutation not found, incomplete strategy
% 22.95/3.92 % (559503)------------------------------
% 22.95/3.92 % (559503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.95/3.92 % (559503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.95/3.92 % (559503)CaDiCaL version: 2.1.3
% 22.95/3.92 % (559503)Termination reason: Refutation not found, incomplete strategy
% 22.95/3.92 % (559503)Time elapsed: 0.001 s
% 22.95/3.92 % (559503)Peak memory usage: 88 MB
% 22.95/3.92 % (559458)------------------------------
% 22.95/3.92 % (559458)------------------------------
% 22.95/3.92 % (559518)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2765959955:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 22.95/3.92 % (559517)lrs+10_64_to=lpo:sil=8000:random_seed=1110742096:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 22.95/3.92 % (559518)Instruction limit reached!
% 22.95/3.92 % (559518)------------------------------
% 22.95/3.92 % (559518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.95/3.92 % (559518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.95/3.92 % (559518)CaDiCaL version: 2.1.3
% 22.95/3.92 % (559518)Termination reason: Instruction limit
% 22.95/3.92 % (559518)Termination phase: Saturation
% 22.95/3.92 % (559518)Time elapsed: 0.064 s
% 22.95/3.92 % (559518)Peak memory usage: 90 MB
% 22.95/3.92 % (559518)Instructions burned: 195 (million)
% 22.95/3.92 % (559486)------------------------------
% 22.95/3.92 % (559486)------------------------------
% 22.95/3.92 % (559517)Instruction limit reached!
% 22.95/3.92 % (559517)------------------------------
% 22.95/3.92 % (559517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.95/3.92 % (559517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.95/3.92 % (559517)CaDiCaL version: 2.1.3
% 22.95/3.92 % (559517)Termination reason: Instruction limit
% 22.95/3.92 % (559517)Termination phase: Saturation
% 22.95/3.92 % (559517)Time elapsed: 0.077 s
% 22.95/3.92 % (559517)Peak memory usage: 88 MB
% 22.95/3.92 % (559517)Instructions burned: 127 (million)
% 22.95/3.92 % (559503)------------------------------
% 22.95/3.92 % (559503)------------------------------
% 22.95/3.92 % (559568)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2882481871:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 22.95/3.92 % (559568)Instruction limit reached!
% 22.95/3.92 % (559568)------------------------------
% 22.95/3.92 % (559568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.95/3.92 % (559568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.95/3.92 % (559568)CaDiCaL version: 2.1.3
% 22.95/3.92 % (559568)Termination reason: Instruction limit
% 22.95/3.92 % (559568)Termination phase: Saturation
% 22.95/3.92 % (559568)Time elapsed: 0.048 s
% 22.95/3.92 % (559568)Peak memory usage: 91 MB
% 22.95/3.92 % (559568)Instructions burned: 161 (million)
% 22.95/3.92 % (559569)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3904996637:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 22.95/3.92 % (559570)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=4203662309:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 22.95/3.92 % (559571)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1880918179:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 22.95/3.92 % (559571)Refutation not found, incomplete strategy
% 22.95/3.92 % (559571)------------------------------
% 22.95/3.92 % (559571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.32/6.31 % (559571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.32/6.31 % (559571)CaDiCaL version: 2.1.3
% 40.32/6.31 % (559571)Termination reason: Refutation not found, incomplete strategy
% 40.32/6.31 % (559571)Time elapsed: 0.001 s
% 40.32/6.31 % (559571)Peak memory usage: 88 MB
% 40.32/6.31 % (559570)Instruction limit reached!
% 40.32/6.31 % (559570)------------------------------
% 40.32/6.31 % (559570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.32/6.31 % (559570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.32/6.31 % (559570)CaDiCaL version: 2.1.3
% 40.32/6.31 % (559570)Termination reason: Instruction limit
% 40.32/6.31 % (559570)Termination phase: Saturation
% 40.32/6.31 % (559570)Time elapsed: 0.069 s
% 40.32/6.31 % (559570)Peak memory usage: 89 MB
% 40.32/6.31 % (559570)Instructions burned: 107 (million)
% 40.32/6.31 % (559573)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=753778816:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 40.32/6.31 % (559573)Instruction limit reached!
% 40.32/6.31 % (559573)------------------------------
% 40.32/6.31 % (559573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.32/6.31 % (559573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.32/6.31 % (559573)CaDiCaL version: 2.1.3
% 40.32/6.31 % (559573)Termination reason: Instruction limit
% 40.32/6.31 % (559573)Termination phase: Saturation
% 40.32/6.31 % (559573)Time elapsed: 0.070 s
% 40.32/6.31 % (559573)Peak memory usage: 91 MB
% 40.32/6.31 % (559573)Instructions burned: 246 (million)
% 40.32/6.31 % (559578)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2039422252:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 40.32/6.31 % (559579)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4137398262:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 40.32/6.31 % (559571)------------------------------
% 40.32/6.31 % (559571)------------------------------
% 40.32/6.31 % (559579)Instruction limit reached!
% 40.32/6.31 % (559579)------------------------------
% 40.32/6.31 % (559579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.32/6.31 % (559579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.32/6.31 % (559579)CaDiCaL version: 2.1.3
% 40.32/6.31 % (559579)Termination reason: Instruction limit
% 40.32/6.31 % (559579)Termination phase: Saturation
% 40.32/6.31 % (559579)Time elapsed: 0.044 s
% 40.32/6.31 % (559579)Peak memory usage: 89 MB
% 40.32/6.31 % (559579)Instructions burned: 137 (million)
% 40.32/6.31 % (559583)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2674236250:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 40.32/6.31 % (559582)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1229574333:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 40.32/6.31 % (559583)Instruction limit reached!
% 40.32/6.31 % (559583)------------------------------
% 40.32/6.31 % (559583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.32/6.31 % (559583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.32/6.31 % (559583)CaDiCaL version: 2.1.3
% 40.32/6.31 % (559583)Termination reason: Instruction limit
% 40.32/6.31 % (559583)Termination phase: Saturation
% 40.32/6.31 % (559583)Time elapsed: 0.062 s
% 40.32/6.31 % (559583)Peak memory usage: 89 MB
% 40.32/6.31 % (559583)Instructions burned: 193 (million)
% 40.32/6.31 % (559586)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2182777432:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 40.32/6.31 % (559586)Instruction limit reached!
% 40.32/6.31 % (559586)------------------------------
% 40.32/6.31 % (559586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.32/6.31 % (559586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.32/6.31 % (559586)CaDiCaL version: 2.1.3
% 40.32/6.31 % (559586)Termination reason: Instruction limit
% 40.32/6.31 % (559586)Termination phase: Saturation
% 40.32/6.31 % (559586)Time elapsed: 0.086 s
% 40.32/6.31 % (559586)Peak memory usage: 91 MB
% 40.32/6.31 % (559586)Instructions burned: 266 (million)
% 40.32/6.31 % (559582)Instruction limit reached!
% 40.32/6.31 % (559582)------------------------------
% 48.91/7.64 % (559582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.91/7.64 % (559582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.91/7.64 % (559582)CaDiCaL version: 2.1.3
% 48.91/7.64 % (559582)Termination reason: Instruction limit
% 48.91/7.64 % (559582)Termination phase: Saturation
% 48.91/7.64 % (559582)Time elapsed: 0.295 s
% 48.91/7.64 % (559582)Peak memory usage: 94 MB
% 48.91/7.64 % (559582)Instructions burned: 500 (million)
% 48.91/7.64 % (559588)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3107433821:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 48.91/7.64 % (559588)Instruction limit reached!
% 48.91/7.64 % (559588)------------------------------
% 48.91/7.64 % (559588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.91/7.64 % (559588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.91/7.64 % (559588)CaDiCaL version: 2.1.3
% 48.91/7.64 % (559588)Termination reason: Instruction limit
% 48.91/7.64 % (559588)Termination phase: Saturation
% 48.91/7.64 % (559588)Time elapsed: 0.053 s
% 48.91/7.64 % (559588)Peak memory usage: 89 MB
% 48.91/7.64 % (559588)Instructions burned: 159 (million)
% 48.91/7.64 % (559589)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2853496252:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 48.91/7.64 % (559591)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3940876982:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 48.91/7.64 % (559591)Instruction limit reached!
% 48.91/7.64 % (559591)------------------------------
% 48.91/7.64 % (559591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.91/7.64 % (559591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.91/7.64 % (559591)CaDiCaL version: 2.1.3
% 48.91/7.64 % (559591)Termination reason: Instruction limit
% 48.91/7.64 % (559591)Termination phase: Saturation
% 48.91/7.64 % (559591)Time elapsed: 0.150 s
% 48.91/7.64 % (559591)Peak memory usage: 96 MB
% 48.91/7.64 % (559591)Instructions burned: 540 (million)
% 48.91/7.64 % (559594)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3808246885:i=180:bd=preordered:av=off_2980 on theBenchmark for (2980ds/180Mi)
% 48.91/7.64 % (559594)Instruction limit reached!
% 48.91/7.64 % (559594)------------------------------
% 48.91/7.64 % (559594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.91/7.64 % (559594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.91/7.64 % (559594)CaDiCaL version: 2.1.3
% 48.91/7.64 % (559594)Termination reason: Instruction limit
% 48.91/7.64 % (559594)Termination phase: Saturation
% 48.91/7.64 % (559594)Time elapsed: 0.057 s
% 48.91/7.64 % (559594)Peak memory usage: 88 MB
% 48.91/7.64 % (559594)Instructions burned: 181 (million)
% 48.91/7.64 % (559596)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=4291421553:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2978 on theBenchmark for (2978ds/10307Mi)
% 48.91/7.64 % (559569)Instruction limit reached!
% 48.91/7.64 % (559569)------------------------------
% 48.91/7.64 % (559569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.91/7.64 % (559569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.91/7.64 % (559569)CaDiCaL version: 2.1.3
% 48.91/7.64 % (559569)Termination reason: Instruction limit
% 48.91/7.64 % (559569)Termination phase: Saturation
% 48.91/7.64 % (559569)Time elapsed: 2.093 s
% 48.91/7.64 % (559569)Peak memory usage: 148 MB
% 48.91/7.64 % (559569)Instructions burned: 3395 (million)
% 48.91/7.64 % (559598)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=172712045:i=412:gtgl=4:gtg=exists_all_2971 on theBenchmark for (2971ds/412Mi)
% 48.91/7.64 % (559598)Instruction limit reached!
% 48.91/7.64 % (559598)------------------------------
% 48.91/7.64 % (559598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.91/7.64 % (559598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.91/7.64 % (559598)CaDiCaL version: 2.1.3
% 48.91/7.64 % (559598)Termination reason: Instruction limit
% 48.91/7.64 % (559598)Termination phase: Saturation
% 48.91/7.64 % (559598)Time elapsed: 0.231 s
% 48.91/7.64 % (559598)Peak memory usage: 97 MB
% 49.85/8.94 % (559598)Instructions burned: 413 (million)
% 49.85/8.94 % (559600)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=2921292485:s2pl=no:i=8478:s2at=4:nm=6_2967 on theBenchmark for (2967ds/8478Mi)
% 49.85/8.94 % (559589)Instruction limit reached!
% 49.85/8.94 % (559589)------------------------------
% 49.85/8.94 % (559589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559589)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559589)Termination reason: Instruction limit
% 49.85/8.94 % (559589)Termination phase: Saturation
% 49.85/8.94 % (559589)Time elapsed: 1.988 s
% 49.85/8.94 % (559589)Peak memory usage: 146 MB
% 49.85/8.94 % (559589)Instructions burned: 3257 (million)
% 49.85/8.94 % (559602)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=1994867495:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2963 on theBenchmark for (2963ds/303Mi)
% 49.85/8.94 % (559602)Refutation not found, incomplete strategy
% 49.85/8.94 % (559602)------------------------------
% 49.85/8.94 % (559602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559602)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559602)Termination reason: Refutation not found, incomplete strategy
% 49.85/8.94 % (559602)Time elapsed: 0.001 s
% 49.85/8.94 % (559602)Peak memory usage: 88 MB
% 49.85/8.94 % (559602)------------------------------
% 49.85/8.94 % (559602)------------------------------
% 49.85/8.94 % (559578)Instruction limit reached!
% 49.85/8.94 % (559578)------------------------------
% 49.85/8.94 % (559578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559578)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559578)Termination reason: Instruction limit
% 49.85/8.94 % (559578)Termination phase: Saturation
% 49.85/8.94 % (559578)Time elapsed: 3.135 s
% 49.85/8.94 % (559578)Peak memory usage: 166 MB
% 49.85/8.94 % (559578)Instructions burned: 5209 (million)
% 49.85/8.94 % (559604)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2380304250:st=4:i=720:sd=3:fsr=off:ss=axioms_2959 on theBenchmark for (2959ds/720Mi)
% 49.85/8.94 % (559604)Refutation not found, incomplete strategy
% 49.85/8.94 % (559604)------------------------------
% 49.85/8.94 % (559604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559604)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559604)Termination reason: Refutation not found, incomplete strategy
% 49.85/8.94 % (559604)Time elapsed: 0.001 s
% 49.85/8.94 % (559604)Peak memory usage: 88 MB
% 49.85/8.94 % (559605)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2371712506:i=598:bs=on:bd=preordered:av=off:ss=axioms_2958 on theBenchmark for (2958ds/598Mi)
% 49.85/8.94 % (559604)------------------------------
% 49.85/8.94 % (559604)------------------------------
% 49.85/8.94 % (559608)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=2912213440:i=2989:sd=3:ss=axioms:sgt=60_2955 on theBenchmark for (2955ds/2989Mi)
% 49.85/8.94 % (559605)Instruction limit reached!
% 49.85/8.94 % (559605)------------------------------
% 49.85/8.94 % (559605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559605)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559605)Termination reason: Instruction limit
% 49.85/8.94 % (559605)Termination phase: Saturation
% 49.85/8.94 % (559605)Time elapsed: 0.339 s
% 49.85/8.94 % (559605)Peak memory usage: 96 MB
% 49.85/8.94 % (559605)Instructions burned: 599 (million)
% 49.85/8.94 % (559610)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=2962461203:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2953 on theBenchmark for (2953ds/1997Mi)
% 49.85/8.94 % (559596)Instruction limit reached!
% 49.85/8.94 % (559596)------------------------------
% 49.85/8.94 % (559596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559596)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559596)Termination reason: Instruction limit
% 49.85/8.94 % (559596)Termination phase: Saturation
% 49.85/8.94 % (559596)Time elapsed: 3.395 s
% 49.85/8.94 % (559596)Peak memory usage: 204 MB
% 49.85/8.94 % (559596)Instructions burned: 10312 (million)
% 49.85/8.94 % (559612)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=2449191373:i=2088:bd=preordered:av=off_2943 on theBenchmark for (2943ds/2088Mi)
% 49.85/8.94 % (559610)Instruction limit reached!
% 49.85/8.94 % (559610)------------------------------
% 49.85/8.94 % (559610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559610)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559610)Termination reason: Instruction limit
% 49.85/8.94 % (559610)Termination phase: Saturation
% 49.85/8.94 % (559610)Time elapsed: 1.160 s
% 49.85/8.94 % (559610)Peak memory usage: 139 MB
% 49.85/8.94 % (559610)Instructions burned: 1998 (million)
% 49.85/8.94 % (559614)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=206234465:i=1098:nicw=on_2940 on theBenchmark for (2940ds/1098Mi)
% 49.85/8.94 % (559608)Instruction limit reached!
% 49.85/8.94 % (559608)------------------------------
% 49.85/8.94 % (559608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559608)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559608)Termination reason: Instruction limit
% 49.85/8.94 % (559608)Termination phase: Saturation
% 49.85/8.94 % (559608)Time elapsed: 1.716 s
% 49.85/8.94 % (559608)Peak memory usage: 147 MB
% 49.85/8.94 % (559608)Instructions burned: 2991 (million)
% 49.85/8.94 % (559612)Instruction limit reached!
% 49.85/8.94 % (559612)------------------------------
% 49.85/8.94 % (559612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559612)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559612)Termination reason: Instruction limit
% 49.85/8.94 % (559612)Termination phase: Saturation
% 49.85/8.94 % (559612)Time elapsed: 0.722 s
% 49.85/8.94 % (559612)Peak memory usage: 137 MB
% 49.85/8.94 % (559612)Instructions burned: 2092 (million)
% 49.85/8.94 % (559616)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=2735954173:i=433:bd=preordered_2936 on theBenchmark for (2936ds/433Mi)
% 49.85/8.94 % (559616)Refutation not found, incomplete strategy
% 49.85/8.94 % (559616)------------------------------
% 49.85/8.94 % (559616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559616)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559616)Termination reason: Refutation not found, incomplete strategy
% 49.85/8.94 % (559616)Time elapsed: 0.002 s
% 49.85/8.94 % (559616)Peak memory usage: 88 MB
% 49.85/8.94 % (559616)Instructions burned: 1 (million)
% 49.85/8.94 % (559617)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=3128008931:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2935 on theBenchmark for (2935ds/2942Mi)
% 49.85/8.94 % (559616)------------------------------
% 49.85/8.94 % (559616)------------------------------
% 49.85/8.94 % (559614)Instruction limit reached!
% 49.85/8.94 % (559614)------------------------------
% 49.85/8.94 % (559614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559614)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559614)Termination reason: Instruction limit
% 49.85/8.94 % (559614)Termination phase: Saturation
% 49.85/8.94 % (559614)Time elapsed: 0.646 s
% 49.85/8.94 % (559614)Peak memory usage: 110 MB
% 49.85/8.94 % (559614)Instructions burned: 1098 (million)
% 49.85/8.94 % (559620)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=1037185788:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2932 on theBenchmark for (2932ds/6922Mi)
% 49.85/8.94 % (559621)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=1760500529:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2931 on theBenchmark for (2931ds/596Mi)
% 49.85/8.94 % (559621)Refutation not found, incomplete strategy
% 49.85/8.94 % (559621)------------------------------
% 49.85/8.94 % (559621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559621)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559621)Termination reason: Refutation not found, incomplete strategy
% 49.85/8.94 % (559621)Time elapsed: 0.002 s
% 49.85/8.94 % (559621)Peak memory usage: 88 MB
% 49.85/8.94 % (559621)Instructions burned: 1 (million)
% 49.85/8.94 % (559621)------------------------------
% 49.85/8.94 % (559621)------------------------------
% 49.85/8.94 % (559624)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=3428420121:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2927 on theBenchmark for (2927ds/4123Mi)
% 49.85/8.94 % (559617)Instruction limit reached!
% 49.85/8.94 % (559617)------------------------------
% 49.85/8.94 % (559617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.85/8.94 % (559617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.85/8.94 % (559617)CaDiCaL version: 2.1.3
% 49.85/8.94 % (559617)Termination reason: Instruction limit
% 49.85/8.94 % (559617)Termination phase: Saturation
% 49.85/8.94 % (559617)Time elapsed: 1.024 s
% 49.85/8.94 % (559617)Peak memory usage: 149 MB
% 49.85/8.94 % (559617)Instructions burned: 2945 (million)
% 49.85/8.94 % (559626)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3467922015:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2923 on theBenchmark for (2923ds/16411Mi)
% 49.85/8.94 % (559394)First to succeed.
% 49.85/8.94 % (559394)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-559249"
% 49.85/8.94 % (559394)Refutation found. Thanks to Tanya!
% 49.85/8.94 % SZS status Unsatisfiable for theBenchmark
% 49.85/8.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/9.13 % (559394)------------------------------
% 0.20/9.13 % (559394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/9.13 % (559394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/9.13 % (559394)CaDiCaL version: 2.1.3
% 0.20/9.13 % (559394)Termination reason: Refutation
% 0.20/9.13 % (559394)Time elapsed: 7.826 s
% 0.20/9.13 % (559394)Peak memory usage: 215 MB
% 0.20/9.13 % (559394)Instructions burned: 12639 (million)
% 0.20/9.13 % (559394)------------------------------
% 0.20/9.13 % (559394)------------------------------
% 0.20/9.13 % (559249)Success in time 8.261 s
% 0.20/9.13 % Vampire exiting
%------------------------------------------------------------------------------