%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL163-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 11:51:23 AM UTC 2026
% Result : Unsatisfiable 5.70s 1.95s
% Output : Refutation 8.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 36
% Syntax : Number of formulae : 207 ( 122 unt; 24 def)
% Number of atoms : 463 ( 170 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 502 ( 246 ~; 242 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 123 ( 0 sgn 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : xor(X0,falsehood) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,axiom,
! [X0] : xor(X0,X0) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f4,plain,
! [X0] : falsehood = xor(X0,X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : and_star(X0,truth) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] : and_star(X0,falsehood) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,plain,
! [X0] : falsehood = and_star(X0,falsehood),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0] : and_star(xor(truth,X0),X0) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f9,plain,
! [X0] : falsehood = and_star(xor(truth,X0),X0),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f11,axiom,
! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f12,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity) ).
fof(f13,axiom,
! [X2,X0,X1] : and_star(and_star(X0,X1),X2) = and_star(X0,and_star(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_associativity) ).
fof(f14,axiom,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_commutativity) ).
fof(f17,axiom,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f18,negated_conjecture,
implies(implies(x,y),y) != implies(implies(y,x),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).
fof(f20,plain,
xor(truth,and_star(xor(truth,and_star(x,xor(truth,y))),xor(truth,y))) != xor(truth,and_star(xor(truth,and_star(y,xor(truth,x))),xor(truth,x))),
inference(definition_unfolding,[],[f18,f17,f17,f17,f17]) ).
fof(f21,definition,
sF0 = xor(truth,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f22,plain,
xor(truth,y) = sF0,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF1 = and_star(x,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f24,plain,
and_star(x,sF0) = sF1,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF2 = xor(truth,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f26,plain,
xor(truth,sF1) = sF2,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF3 = and_star(sF2,sF0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f28,plain,
and_star(sF2,sF0) = sF3,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF4 = xor(truth,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f30,plain,
xor(truth,sF3) = sF4,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF5 = xor(truth,x),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f32,plain,
xor(truth,x) = sF5,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF6 = and_star(y,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f34,plain,
and_star(y,sF5) = sF6,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF7 = xor(truth,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f36,plain,
xor(truth,sF6) = sF7,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF8 = and_star(sF7,sF5),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f38,plain,
and_star(sF7,sF5) = sF8,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF9 = xor(truth,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f40,plain,
xor(truth,sF8) = sF9,
inference(reorient_equations,[],[f39]) ).
fof(f41,plain,
sF4 != sF9,
inference(definition_folding,[],[f20,f40,f38,f32,f36,f34,f32,f30,f28,f22,f26,f24,f22]) ).
fof(f42,plain,
! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(X0,xor(and_star(xor(truth,X1),X0),truth)),
inference(forward_demodulation,[],[f11,f14]) ).
fof(f43,plain,
! [X0] : falsehood = and_star(X0,xor(truth,X0)),
inference(forward_demodulation,[],[f9,f14]) ).
fof(f44,plain,
sF1 = and_star(sF0,x),
inference(forward_demodulation,[],[f24,f14]) ).
fof(f45,plain,
sF2 = xor(sF1,truth),
inference(forward_demodulation,[],[f26,f12]) ).
fof(f46,plain,
sF4 = xor(sF3,truth),
inference(forward_demodulation,[],[f30,f12]) ).
fof(f47,plain,
sF6 = and_star(sF5,y),
inference(forward_demodulation,[],[f34,f14]) ).
fof(f48,plain,
sF7 = xor(sF6,truth),
inference(forward_demodulation,[],[f36,f12]) ).
fof(f49,plain,
sF9 = xor(sF8,truth),
inference(forward_demodulation,[],[f40,f12]) ).
fof(f50,plain,
! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(X0,xor(truth,and_star(xor(truth,X1),X0))),
inference(forward_demodulation,[],[f42,f12]) ).
fof(f51,plain,
! [X0,X1] : and_star(X0,xor(truth,and_star(xor(truth,X1),X0))) = and_star(X1,xor(and_star(xor(truth,X0),X1),truth)),
inference(forward_demodulation,[],[f50,f14]) ).
fof(f52,plain,
! [X0,X1] : and_star(X0,xor(truth,and_star(xor(truth,X1),X0))) = and_star(X1,xor(truth,and_star(xor(truth,X0),X1))),
inference(forward_demodulation,[],[f51,f12]) ).
fof(f56,plain,
! [X0] : and_star(truth,X0) = X0,
inference(superposition,[],[f14,f5]) ).
fof(f58,definition,
( spl10_1
<=> sF4 = sF9 ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f60,plain,
( sF4 != sF9
| spl10_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
~ spl10_1,
inference(avatar_split_clause,[],[f41,f58]) ).
fof(f77,definition,
( spl10_2
<=> sF4 = xor(sF3,truth) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f79,plain,
( sF4 = xor(sF3,truth)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
spl10_2,
inference(avatar_split_clause,[],[f46,f77]) ).
fof(f83,definition,
( spl10_3
<=> sF9 = xor(sF8,truth) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f85,plain,
( sF9 = xor(sF8,truth)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
spl10_3,
inference(avatar_split_clause,[],[f49,f83]) ).
fof(f90,plain,
! [X0] : xor(truth,xor(truth,X0)) = xor(falsehood,X0),
inference(superposition,[],[f10,f4]) ).
fof(f94,definition,
( spl10_4
<=> sF6 = and_star(sF5,y) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f96,plain,
( sF6 = and_star(sF5,y)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
spl10_4,
inference(avatar_split_clause,[],[f47,f94]) ).
fof(f99,definition,
( spl10_5
<=> sF1 = and_star(sF0,x) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f101,plain,
( sF1 = and_star(sF0,x)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
spl10_5,
inference(avatar_split_clause,[],[f44,f99]) ).
fof(f104,definition,
( spl10_6
<=> sF2 = xor(sF1,truth) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f106,plain,
( sF2 = xor(sF1,truth)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
spl10_6,
inference(avatar_split_clause,[],[f45,f104]) ).
fof(f110,definition,
( spl10_7
<=> sF7 = xor(sF6,truth) ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f112,plain,
( sF7 = xor(sF6,truth)
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
spl10_7,
inference(avatar_split_clause,[],[f48,f110]) ).
fof(f120,plain,
! [X0] : xor(falsehood,X0) = X0,
inference(superposition,[],[f12,f2]) ).
fof(f123,plain,
! [X0] : xor(truth,xor(truth,X0)) = X0,
inference(backward_demodulation,[],[f90,f120]) ).
fof(f126,definition,
( spl10_8
<=> xor(truth,x) = sF5 ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f128,plain,
( xor(truth,x) = sF5
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
spl10_8,
inference(avatar_split_clause,[],[f32,f126]) ).
fof(f131,definition,
( spl10_9
<=> xor(truth,y) = sF0 ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f133,plain,
( xor(truth,y) = sF0
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
spl10_9,
inference(avatar_split_clause,[],[f22,f131]) ).
fof(f159,definition,
( spl10_10
<=> and_star(sF2,sF0) = sF3 ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
fof(f161,plain,
( and_star(sF2,sF0) = sF3
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
spl10_10,
inference(avatar_split_clause,[],[f28,f159]) ).
fof(f165,definition,
( spl10_11
<=> and_star(sF7,sF5) = sF8 ),
introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).
fof(f167,plain,
( and_star(sF7,sF5) = sF8
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f168,plain,
spl10_11,
inference(avatar_split_clause,[],[f38,f165]) ).
fof(f169,plain,
( ! [X0] : and_star(sF7,and_star(sF5,X0)) = and_star(sF8,X0)
| ~ spl10_11 ),
inference(superposition,[],[f13,f167]) ).
fof(f229,plain,
! [X0] : falsehood = and_star(X0,xor(X0,truth)),
inference(superposition,[],[f43,f12]) ).
fof(f236,plain,
! [X0,X1] : and_star(X0,and_star(xor(truth,X0),X1)) = and_star(falsehood,X1),
inference(superposition,[],[f13,f43]) ).
fof(f285,plain,
! [X0,X1] : and_star(X0,xor(truth,and_star(xor(truth,X1),X0))) = and_star(X1,xor(truth,and_star(xor(X0,truth),X1))),
inference(superposition,[],[f52,f12]) ).
fof(f291,plain,
! [X0,X1] : and_star(X1,xor(truth,and_star(xor(truth,X0),X1))) = and_star(X0,xor(truth,and_star(X0,xor(truth,X1)))),
inference(superposition,[],[f52,f14]) ).
fof(f295,plain,
! [X0,X1] : and_star(X1,xor(truth,and_star(xor(truth,xor(truth,and_star(xor(truth,X0),xor(truth,X1)))),X1))) = and_star(xor(truth,and_star(xor(truth,X0),xor(truth,X1))),xor(truth,and_star(X0,xor(truth,and_star(xor(truth,xor(truth,X1)),X0))))),
inference(superposition,[],[f52,f52]) ).
fof(f317,plain,
! [X0,X1] : and_star(X1,xor(truth,and_star(xor(truth,xor(truth,and_star(xor(truth,X0),xor(truth,X1)))),X1))) = and_star(xor(truth,and_star(xor(truth,X0),xor(truth,X1))),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f295,f123]) ).
fof(f347,plain,
! [X0,X1] : and_star(xor(truth,and_star(xor(truth,X0),xor(truth,X1))),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))) = and_star(X1,xor(truth,and_star(X1,xor(truth,xor(truth,and_star(xor(truth,X0),xor(truth,X1))))))),
inference(forward_demodulation,[],[f317,f14]) ).
fof(f369,plain,
! [X0,X1] : and_star(xor(truth,and_star(xor(truth,X0),xor(truth,X1))),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))) = and_star(X1,xor(truth,and_star(X1,and_star(xor(truth,X0),xor(truth,X1))))),
inference(forward_demodulation,[],[f347,f123]) ).
fof(f404,plain,
! [X0] : falsehood = and_star(falsehood,X0),
inference(superposition,[],[f14,f7]) ).
fof(f416,plain,
! [X0,X1] : falsehood = and_star(X0,and_star(xor(truth,X0),X1)),
inference(backward_demodulation,[],[f236,f404]) ).
fof(f520,plain,
( and_star(sF8,y) = and_star(sF7,sF6)
| ~ spl10_4
| ~ spl10_11 ),
inference(superposition,[],[f169,f96]) ).
fof(f539,plain,
( and_star(sF8,y) = and_star(sF6,sF7)
| ~ spl10_4
| ~ spl10_11 ),
inference(forward_demodulation,[],[f520,f14]) ).
fof(f753,plain,
( x = xor(truth,sF5)
| ~ spl10_8 ),
inference(superposition,[],[f123,f128]) ).
fof(f757,plain,
! [X0,X1] : and_star(X1,xor(truth,and_star(X0,X1))) = and_star(xor(truth,X0),xor(truth,and_star(xor(truth,X1),xor(truth,X0)))),
inference(superposition,[],[f52,f123]) ).
fof(f764,plain,
( x = xor(sF5,truth)
| ~ spl10_8 ),
inference(forward_demodulation,[],[f753,f12]) ).
fof(f1981,plain,
( falsehood = and_star(sF6,sF7)
| ~ spl10_7 ),
inference(superposition,[],[f229,f112]) ).
fof(f2033,plain,
( falsehood = and_star(sF8,y)
| ~ spl10_4
| ~ spl10_7
| ~ spl10_11 ),
inference(backward_demodulation,[],[f539,f1981]) ).
fof(f2090,definition,
( spl10_24
<=> falsehood = and_star(sF8,y) ),
introduced(definition,[new_symbols(definition,[spl10_24])],[avatar_definition]) ).
fof(f2092,plain,
( falsehood = and_star(sF8,y)
| ~ spl10_24 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f2093,plain,
( spl10_24
| ~ spl10_4
| ~ spl10_7
| ~ spl10_11 ),
inference(avatar_split_clause,[],[f2033,f165,f110,f94,f2090]) ).
fof(f2122,definition,
( spl10_26
<=> x = xor(sF5,truth) ),
introduced(definition,[new_symbols(definition,[spl10_26])],[avatar_definition]) ).
fof(f2124,plain,
( x = xor(sF5,truth)
| ~ spl10_26 ),
inference(avatar_component_clause,[],[f2122]) ).
fof(f2125,plain,
( spl10_26
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f764,f126,f2122]) ).
fof(f2263,plain,
! [X0,X1] : falsehood = and_star(X1,and_star(X0,xor(truth,X1))),
inference(superposition,[],[f416,f14]) ).
fof(f2342,plain,
! [X0,X1] : and_star(xor(truth,and_star(xor(truth,X0),xor(truth,X1))),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))) = and_star(X1,xor(truth,falsehood)),
inference(backward_demodulation,[],[f369,f2263]) ).
fof(f2377,plain,
! [X0,X1] : and_star(xor(truth,and_star(xor(truth,X0),xor(truth,X1))),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))) = and_star(X1,xor(falsehood,truth)),
inference(forward_demodulation,[],[f2342,f12]) ).
fof(f2398,plain,
! [X0,X1] : and_star(X1,truth) = and_star(xor(truth,and_star(xor(truth,X0),xor(truth,X1))),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f2377,f120]) ).
fof(f2410,plain,
! [X0,X1] : and_star(xor(truth,and_star(xor(truth,X0),xor(truth,X1))),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))) = X1,
inference(forward_demodulation,[],[f2398,f5]) ).
fof(f3616,plain,
! [X0,X1] : and_star(X0,xor(truth,and_star(X1,X0))) = and_star(X0,xor(truth,and_star(X0,xor(truth,xor(truth,X1))))),
inference(superposition,[],[f291,f757]) ).
fof(f3628,plain,
! [X0,X1] : and_star(X0,xor(truth,and_star(X1,X0))) = and_star(X0,xor(truth,and_star(X0,X1))),
inference(forward_demodulation,[],[f3616,f123]) ).
fof(f5118,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X0,xor(truth,and_star(X1,X0)))),xor(truth,and_star(X1,xor(truth,and_star(and_star(xor(truth,X0),xor(truth,X1)),X1))))),
inference(superposition,[],[f2410,f757]) ).
fof(f5129,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X0,xor(truth,and_star(X0,xor(truth,xor(truth,X1)))))),xor(truth,and_star(X1,xor(truth,and_star(and_star(xor(truth,X0),xor(truth,X1)),X1))))),
inference(superposition,[],[f2410,f291]) ).
fof(f5132,plain,
! [X0,X1] : and_star(xor(X0,truth),xor(truth,X1)) = and_star(xor(truth,and_star(X0,xor(truth,and_star(xor(truth,xor(truth,X1)),X0)))),xor(truth,and_star(X1,xor(truth,and_star(and_star(xor(X0,truth),xor(truth,X1)),X1))))),
inference(superposition,[],[f2410,f285]) ).
fof(f5204,plain,
( sF8 = and_star(xor(truth,and_star(xor(truth,y),xor(truth,sF8))),xor(truth,and_star(y,xor(truth,falsehood))))
| ~ spl10_24 ),
inference(superposition,[],[f2410,f2092]) ).
fof(f5264,plain,
( sF8 = and_star(xor(truth,and_star(y,xor(truth,falsehood))),xor(truth,and_star(xor(truth,y),xor(truth,sF8))))
| ~ spl10_24 ),
inference(forward_demodulation,[],[f5204,f14]) ).
fof(f5331,plain,
! [X0,X1] : and_star(xor(X0,truth),xor(truth,X1)) = and_star(xor(truth,and_star(X0,xor(truth,and_star(xor(truth,xor(truth,X1)),X0)))),xor(truth,and_star(X1,xor(truth,and_star(X1,and_star(xor(X0,truth),xor(truth,X1))))))),
inference(forward_demodulation,[],[f5132,f3628]) ).
fof(f5334,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X0,xor(truth,and_star(X0,xor(truth,xor(truth,X1)))))),xor(truth,and_star(X1,xor(truth,and_star(X1,and_star(xor(truth,X0),xor(truth,X1))))))),
inference(forward_demodulation,[],[f5129,f3628]) ).
fof(f5345,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X0,xor(truth,and_star(X1,X0)))),xor(truth,and_star(X1,xor(truth,and_star(X1,and_star(xor(truth,X0),xor(truth,X1))))))),
inference(forward_demodulation,[],[f5118,f3628]) ).
fof(f5384,plain,
( sF8 = and_star(xor(truth,and_star(y,xor(truth,falsehood))),xor(truth,and_star(xor(truth,sF8),xor(truth,y))))
| ~ spl10_24 ),
inference(forward_demodulation,[],[f5264,f14]) ).
fof(f5449,plain,
! [X0,X1] : and_star(xor(X0,truth),xor(truth,X1)) = and_star(xor(truth,and_star(X0,xor(truth,and_star(xor(truth,xor(truth,X1)),X0)))),xor(truth,and_star(X1,xor(truth,falsehood)))),
inference(forward_demodulation,[],[f5331,f2263]) ).
fof(f5452,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X0,xor(truth,and_star(X0,xor(truth,xor(truth,X1)))))),xor(truth,and_star(X1,xor(truth,falsehood)))),
inference(forward_demodulation,[],[f5334,f2263]) ).
fof(f5463,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X0,xor(truth,and_star(X1,X0)))),xor(truth,and_star(X1,xor(truth,falsehood)))),
inference(forward_demodulation,[],[f5345,f2263]) ).
fof(f5495,plain,
( sF8 = and_star(xor(truth,and_star(y,xor(truth,falsehood))),xor(truth,and_star(xor(truth,sF8),sF0)))
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f5384,f133]) ).
fof(f5560,plain,
! [X0,X1] : and_star(xor(X0,truth),xor(truth,X1)) = and_star(xor(truth,and_star(X1,xor(truth,falsehood))),xor(truth,and_star(X0,xor(truth,and_star(xor(truth,xor(truth,X1)),X0))))),
inference(forward_demodulation,[],[f5449,f14]) ).
fof(f5563,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X1,xor(truth,falsehood))),xor(truth,and_star(X0,xor(truth,and_star(X0,xor(truth,xor(truth,X1))))))),
inference(forward_demodulation,[],[f5452,f14]) ).
fof(f5574,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X0,xor(truth,and_star(X1,X0)))),xor(truth,and_star(X1,xor(falsehood,truth)))),
inference(forward_demodulation,[],[f5463,f12]) ).
fof(f5603,plain,
( sF8 = and_star(xor(truth,and_star(y,xor(truth,falsehood))),xor(truth,and_star(sF0,xor(truth,sF8))))
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f5495,f14]) ).
fof(f5668,plain,
! [X0,X1] : and_star(xor(X0,truth),xor(truth,X1)) = and_star(xor(truth,and_star(X1,xor(truth,falsehood))),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f5560,f123]) ).
fof(f5671,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X1,xor(truth,falsehood))),xor(truth,and_star(X0,xor(truth,and_star(X0,X1))))),
inference(forward_demodulation,[],[f5563,f123]) ).
fof(f5682,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X0,xor(truth,and_star(X1,X0)))),xor(truth,and_star(X1,truth))),
inference(forward_demodulation,[],[f5574,f120]) ).
fof(f5710,plain,
( sF8 = and_star(xor(truth,and_star(sF0,xor(truth,sF8))),xor(truth,and_star(y,xor(truth,falsehood))))
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f5603,f14]) ).
fof(f5766,plain,
! [X0,X1] : and_star(xor(X0,truth),xor(truth,X1)) = and_star(xor(truth,and_star(X1,xor(falsehood,truth))),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f5668,f12]) ).
fof(f5769,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X1,xor(falsehood,truth))),xor(truth,and_star(X0,xor(truth,and_star(X0,X1))))),
inference(forward_demodulation,[],[f5671,f12]) ).
fof(f5780,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X1,truth)),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f5682,f14]) ).
fof(f5807,plain,
( sF8 = and_star(xor(truth,and_star(sF0,xor(truth,sF8))),xor(truth,and_star(y,xor(falsehood,truth))))
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f5710,f12]) ).
fof(f5863,plain,
! [X0,X1] : and_star(xor(X0,truth),xor(truth,X1)) = and_star(xor(truth,and_star(X1,truth)),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f5766,f120]) ).
fof(f5866,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,and_star(X1,truth)),xor(truth,and_star(X0,xor(truth,and_star(X0,X1))))),
inference(forward_demodulation,[],[f5769,f120]) ).
fof(f5875,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,X1),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f5780,f5]) ).
fof(f5900,plain,
( sF8 = and_star(xor(truth,and_star(sF0,xor(truth,sF8))),xor(truth,and_star(y,truth)))
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f5807,f120]) ).
fof(f5953,plain,
! [X0,X1] : and_star(xor(X0,truth),xor(truth,X1)) = and_star(xor(truth,X1),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f5863,f5]) ).
fof(f5956,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,X1),xor(truth,and_star(X0,xor(truth,and_star(X0,X1))))),
inference(forward_demodulation,[],[f5866,f5]) ).
fof(f5983,plain,
( sF8 = and_star(xor(truth,and_star(y,truth)),xor(truth,and_star(sF0,xor(truth,sF8))))
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f5900,f14]) ).
fof(f6033,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(X0,truth),xor(truth,X1)),
inference(forward_demodulation,[],[f5953,f5875]) ).
fof(f6055,plain,
( sF8 = and_star(xor(truth,and_star(y,truth)),xor(truth,and_star(sF0,xor(sF8,truth))))
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f5983,f12]) ).
fof(f6112,plain,
( sF8 = and_star(xor(truth,and_star(y,truth)),xor(truth,and_star(sF0,sF9)))
| ~ spl10_3
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f6055,f85]) ).
fof(f6162,plain,
( sF8 = and_star(xor(truth,and_star(sF0,sF9)),xor(truth,and_star(y,truth)))
| ~ spl10_3
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f6112,f14]) ).
fof(f6199,plain,
( sF8 = and_star(xor(truth,and_star(sF0,sF9)),xor(truth,and_star(truth,y)))
| ~ spl10_3
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f6162,f14]) ).
fof(f6229,plain,
( sF8 = and_star(xor(truth,and_star(sF0,sF9)),xor(truth,y))
| ~ spl10_3
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f6199,f56]) ).
fof(f6257,plain,
( sF8 = and_star(xor(truth,y),xor(truth,and_star(sF0,sF9)))
| ~ spl10_3
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f6229,f14]) ).
fof(f6280,plain,
( sF8 = and_star(sF0,xor(truth,and_star(sF0,sF9)))
| ~ spl10_3
| ~ spl10_9
| ~ spl10_24 ),
inference(forward_demodulation,[],[f6257,f133]) ).
fof(f6603,plain,
( ! [X0] : and_star(xor(truth,X0),sF5) = and_star(xor(X0,truth),sF5)
| ~ spl10_8 ),
inference(superposition,[],[f6033,f128]) ).
fof(f6604,plain,
( ! [X0] : and_star(xor(truth,X0),sF0) = and_star(xor(X0,truth),sF0)
| ~ spl10_9 ),
inference(superposition,[],[f6033,f133]) ).
fof(f6740,plain,
( ! [X0] : and_star(xor(truth,X0),sF0) = and_star(sF0,xor(X0,truth))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f6604,f14]) ).
fof(f6741,plain,
( ! [X0] : and_star(xor(truth,X0),sF5) = and_star(sF5,xor(X0,truth))
| ~ spl10_8 ),
inference(forward_demodulation,[],[f6603,f14]) ).
fof(f6779,plain,
( ! [X0] : and_star(sF0,xor(truth,X0)) = and_star(sF0,xor(X0,truth))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f6740,f14]) ).
fof(f6780,plain,
( ! [X0] : and_star(sF5,xor(truth,X0)) = and_star(sF5,xor(X0,truth))
| ~ spl10_8 ),
inference(forward_demodulation,[],[f6741,f14]) ).
fof(f7514,definition,
( spl10_52
<=> sF8 = and_star(sF0,xor(truth,and_star(sF0,sF9))) ),
introduced(definition,[new_symbols(definition,[spl10_52])],[avatar_definition]) ).
fof(f7516,plain,
( sF8 = and_star(sF0,xor(truth,and_star(sF0,sF9)))
| ~ spl10_52 ),
inference(avatar_component_clause,[],[f7514]) ).
fof(f7517,plain,
( spl10_52
| ~ spl10_3
| ~ spl10_9
| ~ spl10_24 ),
inference(avatar_split_clause,[],[f6280,f2090,f131,f83,f7514]) ).
fof(f11962,plain,
( and_star(xor(truth,sF5),xor(truth,y)) = and_star(xor(truth,y),xor(truth,and_star(sF5,xor(truth,sF6))))
| ~ spl10_4 ),
inference(superposition,[],[f5956,f96]) ).
fof(f12100,plain,
( and_star(xor(truth,sF5),xor(truth,y)) = and_star(xor(truth,y),xor(truth,and_star(sF5,xor(sF6,truth))))
| ~ spl10_4
| ~ spl10_8 ),
inference(forward_demodulation,[],[f11962,f6780]) ).
fof(f12243,plain,
( and_star(xor(truth,sF5),xor(truth,y)) = and_star(xor(truth,y),xor(truth,and_star(sF5,sF7)))
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f12100,f112]) ).
fof(f12354,plain,
( and_star(xor(truth,sF5),xor(truth,y)) = and_star(xor(truth,y),xor(truth,and_star(sF7,sF5)))
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f12243,f14]) ).
fof(f12444,plain,
( and_star(xor(truth,y),xor(truth,sF8)) = and_star(xor(truth,sF5),xor(truth,y))
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11 ),
inference(forward_demodulation,[],[f12354,f167]) ).
fof(f12518,plain,
( and_star(xor(truth,y),xor(truth,sF8)) = and_star(xor(sF5,truth),xor(truth,y))
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11 ),
inference(forward_demodulation,[],[f12444,f6033]) ).
fof(f12566,plain,
( and_star(sF0,xor(truth,sF8)) = and_star(xor(sF5,truth),sF0)
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f12518,f133]) ).
fof(f12599,plain,
( and_star(sF0,xor(sF5,truth)) = and_star(sF0,xor(truth,sF8))
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f12566,f14]) ).
fof(f12623,plain,
( and_star(sF0,xor(sF5,truth)) = and_star(sF0,xor(sF8,truth))
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f12599,f6779]) ).
fof(f12643,plain,
( and_star(sF0,xor(sF5,truth)) = and_star(sF0,sF9)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f12623,f85]) ).
fof(f12658,plain,
( and_star(sF0,x) = and_star(sF0,sF9)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_26 ),
inference(forward_demodulation,[],[f12643,f2124]) ).
fof(f12666,plain,
( sF1 = and_star(sF0,sF9)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_26 ),
inference(forward_demodulation,[],[f12658,f101]) ).
fof(f12676,plain,
( sF8 = and_star(sF0,xor(truth,sF1))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_26
| ~ spl10_52 ),
inference(backward_demodulation,[],[f7516,f12666]) ).
fof(f12690,plain,
( sF8 = and_star(sF0,xor(sF1,truth))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_26
| ~ spl10_52 ),
inference(forward_demodulation,[],[f12676,f6779]) ).
fof(f12700,plain,
( sF8 = and_star(sF0,sF2)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_26
| ~ spl10_52 ),
inference(forward_demodulation,[],[f12690,f106]) ).
fof(f12708,plain,
( and_star(sF2,sF0) = sF8
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_26
| ~ spl10_52 ),
inference(forward_demodulation,[],[f12700,f14]) ).
fof(f12716,plain,
( sF3 = sF8
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_26
| ~ spl10_52 ),
inference(forward_demodulation,[],[f12708,f161]) ).
fof(f12723,plain,
( sF9 = xor(sF3,truth)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_26
| ~ spl10_52 ),
inference(backward_demodulation,[],[f85,f12716]) ).
fof(f12798,plain,
( sF4 = sF9
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_26
| ~ spl10_52 ),
inference(forward_demodulation,[],[f12723,f79]) ).
fof(f12803,plain,
( $false
| spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_26
| ~ spl10_52 ),
inference(forward_subsumption_resolution,[],[f12798,f60]) ).
fof(f12804,plain,
( spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_26
| ~ spl10_52 ),
inference(avatar_contradiction_clause,[],[f12803]) ).
cnf(s1,plain,
~ spl10_1,
inference(sat_conversion,[],[f61]) ).
cnf(s2,plain,
spl10_2,
inference(sat_conversion,[],[f80]) ).
cnf(s3,plain,
spl10_3,
inference(sat_conversion,[],[f86]) ).
cnf(s4,plain,
spl10_4,
inference(sat_conversion,[],[f97]) ).
cnf(s5,plain,
spl10_5,
inference(sat_conversion,[],[f102]) ).
cnf(s6,plain,
spl10_6,
inference(sat_conversion,[],[f107]) ).
cnf(s7,plain,
spl10_7,
inference(sat_conversion,[],[f113]) ).
cnf(s8,plain,
spl10_8,
inference(sat_conversion,[],[f129]) ).
cnf(s9,plain,
spl10_9,
inference(sat_conversion,[],[f134]) ).
cnf(s10,plain,
spl10_10,
inference(sat_conversion,[],[f162]) ).
cnf(s11,plain,
spl10_11,
inference(sat_conversion,[],[f168]) ).
cnf(s24,plain,
( ~ spl10_4
| ~ spl10_7
| ~ spl10_11
| spl10_24 ),
inference(sat_conversion,[],[f2093]) ).
cnf(s26,plain,
( ~ spl10_8
| spl10_26 ),
inference(sat_conversion,[],[f2125]) ).
cnf(s52,plain,
( ~ spl10_3
| ~ spl10_9
| ~ spl10_24
| spl10_52 ),
inference(sat_conversion,[],[f7517]) ).
cnf(s58,plain,
( spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_26
| ~ spl10_52 ),
inference(sat_conversion,[],[f12804]) ).
cnf(s63,plain,
spl10_26,
inference(rat,[],[s26,s8]) ).
cnf(s83,plain,
spl10_24,
inference(rat,[],[s24,s7,s11,s4]) ).
cnf(s88,plain,
spl10_52,
inference(rat,[],[s52,s83,s9,s3]) ).
cnf(s95,plain,
spl10_1,
inference(rat,[],[s58,s88,s63,s11,s10,s9,s8,s7,s6,s5,s4,s3,s2]) ).
cnf(s105,plain,
$false,
inference(rat,[],[s1,s95]) ).
fof(f12805,plain,
$false,
inference(avatar_sat_refutation,[],[s105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL163-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n004.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 15:24:22 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 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
% 5.70/1.95 % (3662519)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.70/1.95 % (3662574)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3103131506:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.70/1.95 % (3662578)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3256871011:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.70/1.95 % (3662582)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1491874739:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.70/1.95 % (3662584)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=538753209:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.70/1.95 % (3662579)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1408221858:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.70/1.95 % (3662576)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2188885988:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.70/1.95 % (3662583)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=713186991:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.70/1.95 % (3662579)Instruction limit reached!
% 5.70/1.95 % (3662579)------------------------------
% 5.70/1.95 % (3662579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.95 % (3662579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.95 % (3662579)CaDiCaL version: 2.1.3
% 5.70/1.95 % (3662579)Termination reason: Instruction limit
% 5.70/1.95 % (3662579)Termination phase: Saturation
% 5.70/1.95 % (3662579)Time elapsed: 0.078 s
% 5.70/1.95 % (3662579)Peak memory usage: 88 MB
% 5.70/1.95 % (3662579)Instructions burned: 136 (million)
% 5.70/1.95 % (3662582)Instruction limit reached!
% 5.70/1.95 % (3662582)------------------------------
% 5.70/1.95 % (3662582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.95 % (3662582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.95 % (3662582)CaDiCaL version: 2.1.3
% 5.70/1.95 % (3662582)Termination reason: Instruction limit
% 5.70/1.95 % (3662582)Termination phase: Saturation
% 5.70/1.95 % (3662582)Time elapsed: 0.099 s
% 5.70/1.95 % (3662582)Peak memory usage: 89 MB
% 5.70/1.95 % (3662582)Instructions burned: 183 (million)
% 5.70/1.95 % (3662583)Instruction limit reached!
% 5.70/1.95 % (3662583)------------------------------
% 5.70/1.95 % (3662583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.95 % (3662583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.95 % (3662583)CaDiCaL version: 2.1.3
% 5.70/1.95 % (3662583)Termination reason: Instruction limit
% 5.70/1.95 % (3662583)Termination phase: Saturation
% 5.70/1.95 % (3662583)Time elapsed: 0.148 s
% 5.70/1.95 % (3662583)Peak memory usage: 90 MB
% 5.70/1.95 % (3662583)Instructions burned: 257 (million)
% 5.70/1.95 % (3662669)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4215143070:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.70/1.95 % (3662684)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1743236573:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.70/1.95 % (3662693)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1023576152:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 5.70/1.95 % (3662693)Instruction limit reached!
% 5.70/1.95 % (3662693)------------------------------
% 5.70/1.95 % (3662693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.95 % (3662693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.95 % (3662693)CaDiCaL version: 2.1.3
% 5.70/1.95 % (3662693)Termination reason: Instruction limit
% 5.70/1.95 % (3662693)Termination phase: Saturation
% 5.70/1.95 % (3662693)Time elapsed: 0.106 s
% 5.70/1.95 % (3662693)Peak memory usage: 89 MB
% 5.70/1.95 % (3662693)Instructions burned: 215 (million)
% 5.70/1.95 % (3662697)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=965178860:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 5.70/1.95 % (3662584)Instruction limit reached!
% 5.70/1.95 % (3662584)------------------------------
% 5.70/1.95 % (3662584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.95 % (3662584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.95 % (3662584)CaDiCaL version: 2.1.3
% 5.70/1.95 % (3662584)Termination reason: Instruction limit
% 5.70/1.95 % (3662584)Termination phase: Saturation
% 5.70/1.95 % (3662584)Time elapsed: 0.605 s
% 5.70/1.95 % (3662584)Peak memory usage: 97 MB
% 5.70/1.95 % (3662584)Instructions burned: 1187 (million)
% 5.70/1.95 % (3662574)First to succeed.
% 5.70/1.95 % (3662574)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3662519"
% 5.70/1.95 % (3662697)Instruction limit reached!
% 5.70/1.95 % (3662697)------------------------------
% 5.70/1.95 % (3662697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.95 % (3662697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.95 % (3662697)CaDiCaL version: 2.1.3
% 5.70/1.95 % (3662697)Termination reason: Instruction limit
% 5.70/1.95 % (3662697)Termination phase: Saturation
% 5.70/1.95 % (3662697)Time elapsed: 0.164 s
% 5.70/1.95 % (3662697)Peak memory usage: 90 MB
% 5.70/1.95 % (3662697)Instructions burned: 317 (million)
% 5.70/1.95 % (3662699)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3658634177:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 5.70/1.95 % (3662574)Refutation found. Thanks to Tanya!
% 5.70/1.95 % SZS status Unsatisfiable for theBenchmark
% 5.70/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.04/2.15 % (3662574)------------------------------
% 8.04/2.15 % (3662574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.15 % (3662574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.15 % (3662574)CaDiCaL version: 2.1.3
% 8.04/2.15 % (3662574)Termination reason: Refutation
% 8.04/2.15 % (3662574)Time elapsed: 0.765 s
% 8.04/2.15 % (3662574)Peak memory usage: 139 MB
% 8.04/2.15 % (3662574)Instructions burned: 1932 (million)
% 8.04/2.15 % (3662574)------------------------------
% 8.04/2.15 % (3662574)------------------------------
% 8.04/2.15 % (3662519)Success in time 1.055 s
% 8.04/2.15 % Vampire exiting
%------------------------------------------------------------------------------