%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL109-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:51:14 AM UTC 2026
% Result : Unsatisfiable 9.91s 2.29s
% Output : Refutation 10.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 42
% Syntax : Number of formulae : 302 ( 159 unt; 30 def)
% Number of atoms : 786 ( 251 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 954 ( 470 ~; 465 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-2 aty)
% Number of variables : 212 ( 0 sgn 212 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : xor(X0,falsehood) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,axiom,
! [X0] : xor(X0,X0) = falsehood,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] : and_star(X0,falsehood) = falsehood,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f12,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',and_star_associativity) ).
fof(f14,axiom,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f18,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_mv_4) ).
fof(f19,plain,
truth != implies(implies(implies(a,b),implies(b,a)),implies(b,a)),
inference(reorient_equations,[],[f18]) ).
fof(f21,plain,
truth != xor(truth,and_star(xor(truth,and_star(xor(truth,and_star(a,xor(truth,b))),xor(truth,xor(truth,and_star(b,xor(truth,a)))))),xor(truth,xor(truth,and_star(b,xor(truth,a)))))),
inference(definition_unfolding,[],[f19,f17,f17,f17,f17,f17]) ).
fof(f22,definition,
sF0 = xor(truth,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f23,plain,
xor(truth,b) = sF0,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF1 = and_star(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f25,plain,
and_star(a,sF0) = sF1,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF2 = xor(truth,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f27,plain,
xor(truth,sF1) = sF2,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF3 = xor(truth,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f29,plain,
xor(truth,a) = sF3,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF4 = and_star(b,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f31,plain,
and_star(b,sF3) = sF4,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF5 = xor(truth,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f33,plain,
xor(truth,sF4) = sF5,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF6 = xor(truth,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f35,plain,
xor(truth,sF5) = sF6,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF7 = and_star(sF2,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f37,plain,
and_star(sF2,sF6) = sF7,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF8 = xor(truth,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f39,plain,
xor(truth,sF7) = sF8,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF9 = and_star(sF8,sF6),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f41,plain,
and_star(sF8,sF6) = sF9,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF10 = xor(truth,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f43,plain,
xor(truth,sF9) = sF10,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
truth != sF10,
inference(definition_folding,[],[f21,f43,f41,f35,f33,f31,f29,f39,f37,f35,f33,f31,f29,f27,f25,f23]) ).
fof(f45,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(f46,plain,
! [X0] : falsehood = and_star(X0,xor(truth,X0)),
inference(forward_demodulation,[],[f9,f14]) ).
fof(f47,plain,
sF0 = xor(b,truth),
inference(forward_demodulation,[],[f23,f12]) ).
fof(f48,plain,
sF1 = and_star(sF0,a),
inference(forward_demodulation,[],[f25,f14]) ).
fof(f49,plain,
sF2 = xor(sF1,truth),
inference(forward_demodulation,[],[f27,f12]) ).
fof(f50,plain,
sF3 = xor(a,truth),
inference(forward_demodulation,[],[f29,f12]) ).
fof(f51,plain,
sF4 = and_star(sF3,b),
inference(forward_demodulation,[],[f31,f14]) ).
fof(f52,plain,
sF5 = xor(sF4,truth),
inference(forward_demodulation,[],[f33,f12]) ).
fof(f53,plain,
sF6 = xor(sF5,truth),
inference(forward_demodulation,[],[f35,f12]) ).
fof(f54,plain,
sF8 = xor(sF7,truth),
inference(forward_demodulation,[],[f39,f12]) ).
fof(f55,plain,
sF10 = xor(sF9,truth),
inference(forward_demodulation,[],[f43,f12]) ).
fof(f56,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,[],[f45,f12]) ).
fof(f57,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,[],[f56,f14]) ).
fof(f58,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,[],[f57,f12]) ).
fof(f60,definition,
( spl11_1
<=> truth = sF10 ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f62,plain,
( truth != sF10
| spl11_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,plain,
~ spl11_1,
inference(avatar_split_clause,[],[f44,f60]) ).
fof(f73,plain,
! [X0,X1] : xor(X0,xor(X1,truth)) = xor(X1,xor(truth,X0)),
inference(superposition,[],[f10,f12]) ).
fof(f77,plain,
! [X0] : and_star(truth,X0) = X0,
inference(superposition,[],[f14,f5]) ).
fof(f83,definition,
( spl11_2
<=> sF10 = xor(sF9,truth) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f85,plain,
( sF10 = xor(sF9,truth)
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
spl11_2,
inference(avatar_split_clause,[],[f55,f83]) ).
fof(f87,plain,
( ! [X0] : xor(sF9,xor(truth,X0)) = xor(sF10,X0)
| ~ spl11_2 ),
inference(superposition,[],[f10,f85]) ).
fof(f89,definition,
( spl11_3
<=> sF0 = xor(b,truth) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f91,plain,
( sF0 = xor(b,truth)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
spl11_3,
inference(avatar_split_clause,[],[f47,f89]) ).
fof(f93,plain,
( ! [X0] : xor(b,xor(truth,X0)) = xor(sF0,X0)
| ~ spl11_3 ),
inference(superposition,[],[f10,f91]) ).
fof(f95,definition,
( spl11_4
<=> sF3 = xor(a,truth) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f97,plain,
( sF3 = xor(a,truth)
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
spl11_4,
inference(avatar_split_clause,[],[f50,f95]) ).
fof(f101,definition,
( spl11_5
<=> sF6 = xor(sF5,truth) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f103,plain,
( sF6 = xor(sF5,truth)
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
spl11_5,
inference(avatar_split_clause,[],[f53,f101]) ).
fof(f113,plain,
! [X0] : xor(truth,xor(truth,X0)) = xor(falsehood,X0),
inference(superposition,[],[f10,f4]) ).
fof(f117,definition,
( spl11_7
<=> sF1 = and_star(sF0,a) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f119,plain,
( sF1 = and_star(sF0,a)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
spl11_7,
inference(avatar_split_clause,[],[f48,f117]) ).
fof(f122,definition,
( spl11_8
<=> sF2 = xor(sF1,truth) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
fof(f124,plain,
( sF2 = xor(sF1,truth)
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
spl11_8,
inference(avatar_split_clause,[],[f49,f122]) ).
fof(f126,plain,
( ! [X0] : xor(sF1,xor(truth,X0)) = xor(sF2,X0)
| ~ spl11_8 ),
inference(superposition,[],[f10,f124]) ).
fof(f128,definition,
( spl11_9
<=> sF4 = and_star(sF3,b) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f130,plain,
( sF4 = and_star(sF3,b)
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
spl11_9,
inference(avatar_split_clause,[],[f51,f128]) ).
fof(f133,definition,
( spl11_10
<=> sF8 = xor(sF7,truth) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f135,plain,
( sF8 = xor(sF7,truth)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
spl11_10,
inference(avatar_split_clause,[],[f54,f133]) ).
fof(f138,plain,
! [X0,X1] : xor(X1,xor(X0,X0)) = X1,
inference(superposition,[],[f2,f4]) ).
fof(f143,plain,
! [X0] : xor(falsehood,X0) = X0,
inference(superposition,[],[f12,f2]) ).
fof(f146,plain,
! [X0] : xor(truth,xor(truth,X0)) = X0,
inference(backward_demodulation,[],[f113,f143]) ).
fof(f149,definition,
( spl11_11
<=> sF5 = xor(sF4,truth) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f151,plain,
( sF5 = xor(sF4,truth)
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,plain,
spl11_11,
inference(avatar_split_clause,[],[f52,f149]) ).
fof(f153,plain,
( ! [X0] : xor(sF4,xor(truth,X0)) = xor(sF5,X0)
| ~ spl11_11 ),
inference(superposition,[],[f10,f151]) ).
fof(f159,plain,
( ! [X0] : and_star(sF0,and_star(a,X0)) = and_star(sF1,X0)
| ~ spl11_7 ),
inference(superposition,[],[f13,f119]) ).
fof(f160,plain,
( ! [X0] : and_star(sF3,and_star(b,X0)) = and_star(sF4,X0)
| ~ spl11_9 ),
inference(superposition,[],[f13,f130]) ).
fof(f165,plain,
! [X2,X0,X1] : and_star(X0,and_star(X1,X2)) = and_star(X2,and_star(X0,X1)),
inference(superposition,[],[f14,f13]) ).
fof(f172,definition,
( spl11_12
<=> and_star(sF8,sF6) = sF9 ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f174,plain,
( and_star(sF8,sF6) = sF9
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f175,plain,
spl11_12,
inference(avatar_split_clause,[],[f41,f172]) ).
fof(f178,definition,
( spl11_13
<=> and_star(sF2,sF6) = sF7 ),
introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).
fof(f180,plain,
( and_star(sF2,sF6) = sF7
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,plain,
spl11_13,
inference(avatar_split_clause,[],[f37,f178]) ).
fof(f182,plain,
( ! [X0] : and_star(sF2,and_star(sF6,X0)) = and_star(sF7,X0)
| ~ spl11_13 ),
inference(superposition,[],[f13,f180]) ).
fof(f222,plain,
( b = xor(sF0,truth)
| ~ spl11_3 ),
inference(superposition,[],[f138,f93]) ).
fof(f229,plain,
! [X0] : falsehood = and_star(X0,xor(X0,truth)),
inference(superposition,[],[f46,f12]) ).
fof(f234,plain,
! [X0,X1] : and_star(X0,and_star(xor(truth,X0),X1)) = and_star(falsehood,X1),
inference(superposition,[],[f13,f46]) ).
fof(f253,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,[],[f58,f12]) ).
fof(f257,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,[],[f58,f14]) ).
fof(f261,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,[],[f58,f58]) ).
fof(f275,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,[],[f261,f146]) ).
fof(f293,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,[],[f275,f14]) ).
fof(f311,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,[],[f293,f146]) ).
fof(f338,plain,
( sF1 = xor(sF2,truth)
| ~ spl11_8 ),
inference(superposition,[],[f138,f126]) ).
fof(f420,plain,
( sF4 = xor(sF5,truth)
| ~ spl11_11 ),
inference(superposition,[],[f138,f153]) ).
fof(f421,plain,
( sF4 = sF6
| ~ spl11_5
| ~ spl11_11 ),
inference(forward_demodulation,[],[f420,f103]) ).
fof(f428,plain,
( ! [X0] : and_star(sF7,X0) = and_star(sF2,and_star(sF4,X0))
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13 ),
inference(backward_demodulation,[],[f182,f421]) ).
fof(f429,plain,
( sF7 = and_star(sF2,sF4)
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13 ),
inference(backward_demodulation,[],[f180,f421]) ).
fof(f431,plain,
( sF9 = and_star(sF8,sF4)
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f174,f421]) ).
fof(f434,plain,
( sF9 = and_star(sF4,sF8)
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f431,f14]) ).
fof(f437,definition,
( spl11_14
<=> sF9 = and_star(sF4,sF8) ),
introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition]) ).
fof(f439,plain,
( sF9 = and_star(sF4,sF8)
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f440,plain,
( spl11_14
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f434,f172,f149,f101,f437]) ).
fof(f441,plain,
( ! [X0] : and_star(sF9,X0) = and_star(sF4,and_star(sF8,X0))
| ~ spl11_14 ),
inference(superposition,[],[f13,f439]) ).
fof(f443,definition,
( spl11_15
<=> sF7 = and_star(sF2,sF4) ),
introduced(definition,[new_symbols(definition,[spl11_15])],[avatar_definition]) ).
fof(f445,plain,
( sF7 = and_star(sF2,sF4)
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f446,plain,
( spl11_15
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f429,f178,f149,f101,f443]) ).
fof(f468,plain,
( ! [X0] : and_star(sF1,X0) = and_star(sF0,and_star(X0,a))
| ~ spl11_7 ),
inference(superposition,[],[f159,f14]) ).
fof(f506,plain,
! [X0] : falsehood = and_star(falsehood,X0),
inference(superposition,[],[f14,f7]) ).
fof(f516,plain,
! [X0,X1] : falsehood = and_star(X0,and_star(xor(truth,X0),X1)),
inference(backward_demodulation,[],[f234,f506]) ).
fof(f590,plain,
! [X0] : xor(truth,xor(X0,truth)) = X0,
inference(superposition,[],[f146,f12]) ).
fof(f595,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,[],[f58,f146]) ).
fof(f638,plain,
! [X0,X1] : and_star(X0,xor(truth,and_star(xor(truth,X1),X0))) = and_star(X1,xor(truth,and_star(X1,xor(X0,truth)))),
inference(superposition,[],[f257,f12]) ).
fof(f651,plain,
! [X0,X1] : and_star(X0,xor(truth,and_star(xor(truth,X1),X0))) = and_star(X0,xor(truth,and_star(X0,xor(truth,X1)))),
inference(superposition,[],[f58,f257]) ).
fof(f803,plain,
( and_star(sF7,sF8) = and_star(sF2,sF9)
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14 ),
inference(superposition,[],[f428,f439]) ).
fof(f959,plain,
( ! [X0] : and_star(sF9,xor(truth,and_star(xor(truth,X0),sF9))) = and_star(X0,xor(truth,and_star(sF10,X0)))
| ~ spl11_2 ),
inference(superposition,[],[f253,f85]) ).
fof(f964,plain,
! [X0,X1] : and_star(xor(X0,truth),xor(truth,and_star(xor(truth,X1),xor(X0,truth)))) = and_star(X1,xor(truth,and_star(xor(X0,xor(truth,truth)),X1))),
inference(superposition,[],[f253,f10]) ).
fof(f987,plain,
! [X0,X1] : and_star(X0,xor(truth,and_star(xor(truth,X1),X0))) = and_star(X0,xor(truth,and_star(xor(X1,truth),X0))),
inference(superposition,[],[f58,f253]) ).
fof(f1008,plain,
( ! [X0] : and_star(sF3,and_star(X0,xor(truth,and_star(xor(truth,b),X0)))) = and_star(sF4,xor(truth,and_star(xor(X0,truth),b)))
| ~ spl11_9 ),
inference(superposition,[],[f160,f253]) ).
fof(f1011,plain,
( ! [X0] : and_star(sF3,and_star(X0,xor(truth,and_star(xor(truth,b),X0)))) = and_star(sF4,xor(truth,and_star(b,xor(X0,truth))))
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1008,f14]) ).
fof(f1042,plain,
! [X0,X1] : and_star(X1,xor(truth,and_star(X0,X1))) = and_star(xor(X0,truth),xor(truth,and_star(xor(truth,X1),xor(X0,truth)))),
inference(forward_demodulation,[],[f964,f138]) ).
fof(f1047,plain,
( ! [X0] : and_star(X0,xor(truth,and_star(sF10,X0))) = and_star(sF9,xor(truth,and_star(sF9,xor(truth,X0))))
| ~ spl11_2 ),
inference(forward_demodulation,[],[f959,f651]) ).
fof(f1071,plain,
( ! [X0] : and_star(sF3,and_star(X0,xor(truth,and_star(xor(b,truth),X0)))) = and_star(sF4,xor(truth,and_star(b,xor(X0,truth))))
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1011,f987]) ).
fof(f1121,plain,
( ! [X0] : and_star(sF3,and_star(X0,xor(truth,and_star(sF0,X0)))) = and_star(sF4,xor(truth,and_star(b,xor(X0,truth))))
| ~ spl11_3
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1071,f91]) ).
fof(f1249,plain,
( ! [X0] : and_star(sF7,and_star(sF8,X0)) = and_star(sF2,and_star(sF9,X0))
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14 ),
inference(superposition,[],[f428,f441]) ).
fof(f1335,plain,
( falsehood = and_star(sF7,sF8)
| ~ spl11_10 ),
inference(superposition,[],[f229,f135]) ).
fof(f1375,plain,
( falsehood = and_star(sF2,sF9)
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1335,f803]) ).
fof(f1390,plain,
( falsehood = and_star(sF7,sF8)
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f803,f1375]) ).
fof(f1703,plain,
! [X0,X1] : falsehood = and_star(X1,and_star(X0,xor(truth,X1))),
inference(superposition,[],[f516,f14]) ).
fof(f1760,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,[],[f311,f1703]) ).
fof(f1781,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,[],[f1760,f12]) ).
fof(f1796,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,[],[f1781,f143]) ).
fof(f1807,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,[],[f1796,f5]) ).
fof(f1903,definition,
( spl11_24
<=> falsehood = and_star(sF7,sF8) ),
introduced(definition,[new_symbols(definition,[spl11_24])],[avatar_definition]) ).
fof(f1905,plain,
( falsehood = and_star(sF7,sF8)
| ~ spl11_24 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f1906,plain,
( spl11_24
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f1390,f437,f178,f149,f133,f101,f1903]) ).
fof(f1910,plain,
( ! [X0] : and_star(falsehood,X0) = and_star(sF7,and_star(sF8,X0))
| ~ spl11_24 ),
inference(superposition,[],[f13,f1905]) ).
fof(f1911,plain,
( ! [X0] : and_star(falsehood,X0) = and_star(sF2,and_star(sF9,X0))
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_24 ),
inference(forward_demodulation,[],[f1910,f1249]) ).
fof(f1915,plain,
( ! [X0] : falsehood = and_star(sF2,and_star(sF9,X0))
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_24 ),
inference(forward_demodulation,[],[f1911,f506]) ).
fof(f1920,plain,
( ! [X0] : falsehood = and_star(sF7,and_star(sF8,X0))
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_24 ),
inference(backward_demodulation,[],[f1249,f1915]) ).
fof(f2006,plain,
( falsehood = and_star(sF1,xor(truth,sF0))
| ~ spl11_7 ),
inference(superposition,[],[f516,f468]) ).
fof(f2013,plain,
( falsehood = and_star(sF1,xor(sF0,truth))
| ~ spl11_7 ),
inference(forward_demodulation,[],[f2006,f12]) ).
fof(f2023,plain,
( falsehood = and_star(sF1,b)
| ~ spl11_3
| ~ spl11_7 ),
inference(forward_demodulation,[],[f2013,f222]) ).
fof(f2030,definition,
( spl11_26
<=> falsehood = and_star(sF1,b) ),
introduced(definition,[new_symbols(definition,[spl11_26])],[avatar_definition]) ).
fof(f2032,plain,
( falsehood = and_star(sF1,b)
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f2030]) ).
fof(f2033,plain,
( spl11_26
| ~ spl11_3
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f2023,f117,f89,f2030]) ).
fof(f2141,plain,
! [X0,X1] : falsehood = and_star(xor(X0,truth),and_star(xor(X0,xor(truth,truth)),X1)),
inference(superposition,[],[f516,f73]) ).
fof(f2230,plain,
! [X0,X1] : falsehood = and_star(xor(X0,truth),and_star(X0,X1)),
inference(forward_demodulation,[],[f2141,f138]) ).
fof(f2320,plain,
! [X0,X1] : falsehood = and_star(X0,and_star(X1,xor(X0,truth))),
inference(forward_demodulation,[],[f2230,f165]) ).
fof(f2513,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,[],[f257,f595]) ).
fof(f2525,plain,
! [X0,X1] : and_star(X0,xor(truth,and_star(X1,X0))) = and_star(X0,xor(truth,and_star(X0,X1))),
inference(forward_demodulation,[],[f2513,f146]) ).
fof(f2934,definition,
( spl11_32
<=> b = xor(sF0,truth) ),
introduced(definition,[new_symbols(definition,[spl11_32])],[avatar_definition]) ).
fof(f2936,plain,
( b = xor(sF0,truth)
| ~ spl11_32 ),
inference(avatar_component_clause,[],[f2934]) ).
fof(f2937,plain,
( spl11_32
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f222,f89,f2934]) ).
fof(f3792,definition,
( spl11_41
<=> sF1 = xor(sF2,truth) ),
introduced(definition,[new_symbols(definition,[spl11_41])],[avatar_definition]) ).
fof(f3794,plain,
( sF1 = xor(sF2,truth)
| ~ spl11_41 ),
inference(avatar_component_clause,[],[f3792]) ).
fof(f3795,plain,
( spl11_41
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f338,f122,f3792]) ).
fof(f5313,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,[],[f1807,f595]) ).
fof(f5319,plain,
! [X0,X1] : and_star(xor(truth,X1),xor(X0,truth)) = 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(truth,X1),xor(X0,truth)),X1))))),
inference(superposition,[],[f1807,f638]) ).
fof(f5324,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,[],[f1807,f257]) ).
fof(f5327,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,[],[f1807,f253]) ).
fof(f5522,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,[],[f5327,f2525]) ).
fof(f5525,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,[],[f5324,f2525]) ).
fof(f5530,plain,
! [X0,X1] : and_star(xor(truth,X1),xor(X0,truth)) = 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(truth,X1),xor(X0,truth))))))),
inference(forward_demodulation,[],[f5319,f2525]) ).
fof(f5536,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,[],[f5313,f2525]) ).
fof(f5634,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,[],[f5522,f1703]) ).
fof(f5637,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,[],[f5525,f1703]) ).
fof(f5642,plain,
! [X0,X1] : and_star(xor(truth,X1),xor(X0,truth)) = 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,[],[f5530,f516]) ).
fof(f5648,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,[],[f5536,f1703]) ).
fof(f5742,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,[],[f5634,f14]) ).
fof(f5745,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,[],[f5637,f14]) ).
fof(f5750,plain,
! [X0,X1] : and_star(xor(truth,X1),xor(X0,truth)) = 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,[],[f5642,f14]) ).
fof(f5756,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,[],[f5648,f12]) ).
fof(f5849,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,[],[f5742,f146]) ).
fof(f5852,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,[],[f5745,f146]) ).
fof(f5857,plain,
! [X0,X1] : and_star(xor(truth,X1),xor(X0,truth)) = and_star(xor(truth,and_star(X1,xor(truth,falsehood))),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f5750,f146]) ).
fof(f5863,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,[],[f5756,f143]) ).
fof(f5944,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,[],[f5849,f12]) ).
fof(f5947,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,[],[f5852,f12]) ).
fof(f5952,plain,
! [X0,X1] : and_star(xor(truth,X1),xor(X0,truth)) = and_star(xor(truth,and_star(X1,xor(falsehood,truth))),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f5857,f12]) ).
fof(f5958,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,[],[f5863,f14]) ).
fof(f6038,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,[],[f5944,f143]) ).
fof(f6041,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,[],[f5947,f143]) ).
fof(f6046,plain,
! [X0,X1] : and_star(xor(truth,X1),xor(X0,truth)) = and_star(xor(truth,and_star(X1,truth)),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f5952,f143]) ).
fof(f6050,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,[],[f5958,f5]) ).
fof(f6125,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,[],[f6038,f5]) ).
fof(f6128,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,[],[f6041,f5]) ).
fof(f6133,plain,
! [X0,X1] : and_star(xor(truth,X1),xor(X0,truth)) = and_star(xor(truth,X1),xor(truth,and_star(X0,xor(truth,and_star(X1,X0))))),
inference(forward_demodulation,[],[f6046,f5]) ).
fof(f6200,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(X0,truth),xor(truth,X1)),
inference(forward_demodulation,[],[f6125,f6050]) ).
fof(f6208,plain,
! [X0,X1] : and_star(xor(truth,X0),xor(truth,X1)) = and_star(xor(truth,X1),xor(X0,truth)),
inference(forward_demodulation,[],[f6133,f6050]) ).
fof(f6707,plain,
! [X0,X1] : and_star(xor(truth,X1),X0) = and_star(xor(X1,truth),X0),
inference(superposition,[],[f6200,f590]) ).
fof(f7104,plain,
! [X0,X1] : and_star(xor(truth,X1),X0) = and_star(X0,xor(X1,truth)),
inference(superposition,[],[f6208,f590]) ).
fof(f9565,plain,
! [X0,X1] : and_star(X0,xor(truth,X1)) = and_star(X0,xor(X1,truth)),
inference(superposition,[],[f14,f7104]) ).
fof(f11136,plain,
( and_star(xor(truth,sF0),xor(truth,a)) = and_star(xor(truth,a),xor(truth,and_star(sF0,xor(truth,sF1))))
| ~ spl11_7 ),
inference(superposition,[],[f6128,f119]) ).
fof(f11296,plain,
( and_star(xor(truth,sF0),xor(truth,a)) = and_star(xor(a,truth),xor(truth,and_star(sF0,xor(truth,sF1))))
| ~ spl11_7 ),
inference(forward_demodulation,[],[f11136,f6200]) ).
fof(f11417,plain,
( and_star(xor(truth,sF0),xor(truth,a)) = and_star(xor(a,truth),xor(truth,and_star(sF0,xor(sF1,truth))))
| ~ spl11_7 ),
inference(forward_demodulation,[],[f11296,f9565]) ).
fof(f11510,plain,
( and_star(xor(truth,sF0),xor(truth,a)) = and_star(xor(a,truth),xor(truth,and_star(sF0,sF2)))
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f11417,f124]) ).
fof(f11588,plain,
( and_star(xor(truth,sF0),xor(truth,a)) = and_star(sF3,xor(truth,and_star(sF0,sF2)))
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f11510,f97]) ).
fof(f11644,plain,
( and_star(xor(truth,sF0),xor(a,truth)) = and_star(sF3,xor(truth,and_star(sF0,sF2)))
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f11588,f9565]) ).
fof(f11692,plain,
( and_star(xor(a,truth),xor(truth,sF0)) = and_star(sF3,xor(truth,and_star(sF0,sF2)))
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f11644,f14]) ).
fof(f11718,plain,
( and_star(xor(a,truth),xor(sF0,truth)) = and_star(sF3,xor(truth,and_star(sF0,sF2)))
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f11692,f9565]) ).
fof(f11737,plain,
( and_star(xor(sF0,truth),xor(a,truth)) = and_star(sF3,xor(truth,and_star(sF0,sF2)))
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f11718,f14]) ).
fof(f11754,plain,
( and_star(xor(sF0,truth),sF3) = and_star(sF3,xor(truth,and_star(sF0,sF2)))
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f11737,f97]) ).
fof(f11770,plain,
( and_star(sF3,xor(sF0,truth)) = and_star(sF3,xor(truth,and_star(sF0,sF2)))
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f11754,f14]) ).
fof(f11780,plain,
( and_star(sF3,b) = and_star(sF3,xor(truth,and_star(sF0,sF2)))
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8
| ~ spl11_32 ),
inference(forward_demodulation,[],[f11770,f2936]) ).
fof(f11789,plain,
( sF4 = and_star(sF3,xor(truth,and_star(sF0,sF2)))
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_32 ),
inference(forward_demodulation,[],[f11780,f130]) ).
fof(f13761,plain,
( ! [X0] : and_star(X0,xor(truth,and_star(sF10,X0))) = and_star(sF9,xor(truth,and_star(sF9,xor(X0,truth))))
| ~ spl11_2 ),
inference(superposition,[],[f1047,f12]) ).
fof(f13810,plain,
( ! [X0] : and_star(xor(truth,and_star(sF9,xor(truth,X0))),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0))))) = and_star(xor(sF9,truth),xor(truth,and_star(xor(truth,xor(truth,and_star(sF9,xor(truth,X0)))),xor(sF9,truth))))
| ~ spl11_2 ),
inference(superposition,[],[f1042,f1047]) ).
fof(f13815,plain,
( ! [X0] : and_star(xor(truth,and_star(sF9,xor(truth,X0))),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0))))) = and_star(xor(sF9,truth),xor(truth,and_star(xor(sF9,truth),xor(truth,xor(truth,and_star(sF9,xor(truth,X0)))))))
| ~ spl11_2 ),
inference(forward_demodulation,[],[f13810,f651]) ).
fof(f13890,plain,
( ! [X0] : and_star(xor(truth,and_star(sF9,xor(truth,X0))),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0))))) = and_star(xor(sF9,truth),xor(truth,and_star(xor(sF9,truth),and_star(sF9,xor(truth,X0)))))
| ~ spl11_2 ),
inference(forward_demodulation,[],[f13815,f146]) ).
fof(f13945,plain,
( ! [X0] : and_star(xor(truth,and_star(sF9,xor(truth,X0))),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0))))) = and_star(xor(sF9,truth),xor(truth,and_star(sF9,and_star(xor(truth,X0),xor(sF9,truth)))))
| ~ spl11_2 ),
inference(forward_demodulation,[],[f13890,f165]) ).
fof(f13993,plain,
( ! [X0] : and_star(xor(truth,and_star(sF9,xor(truth,X0))),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0))))) = and_star(xor(sF9,truth),xor(truth,falsehood))
| ~ spl11_2 ),
inference(forward_demodulation,[],[f13945,f2320]) ).
fof(f14034,plain,
( ! [X0] : and_star(xor(truth,and_star(sF9,xor(truth,X0))),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0))))) = and_star(xor(sF9,truth),xor(falsehood,truth))
| ~ spl11_2 ),
inference(forward_demodulation,[],[f13993,f9565]) ).
fof(f14073,plain,
( ! [X0] : and_star(xor(truth,and_star(sF9,xor(truth,X0))),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0))))) = and_star(xor(sF9,truth),truth)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f14034,f143]) ).
fof(f14111,plain,
( ! [X0] : and_star(xor(truth,and_star(sF9,xor(truth,X0))),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0))))) = and_star(truth,xor(sF9,truth))
| ~ spl11_2 ),
inference(forward_demodulation,[],[f14073,f14]) ).
fof(f14144,plain,
( ! [X0] : xor(sF9,truth) = and_star(xor(truth,and_star(sF9,xor(truth,X0))),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0)))))
| ~ spl11_2 ),
inference(forward_demodulation,[],[f14111,f77]) ).
fof(f14166,plain,
( ! [X0] : sF10 = and_star(xor(truth,and_star(sF9,xor(truth,X0))),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0)))))
| ~ spl11_2 ),
inference(forward_demodulation,[],[f14144,f85]) ).
fof(f21036,definition,
( spl11_79
<=> sF4 = and_star(sF3,xor(truth,and_star(sF0,sF2))) ),
introduced(definition,[new_symbols(definition,[spl11_79])],[avatar_definition]) ).
fof(f21038,plain,
( sF4 = and_star(sF3,xor(truth,and_star(sF0,sF2)))
| ~ spl11_79 ),
inference(avatar_component_clause,[],[f21036]) ).
fof(f21039,plain,
( spl11_79
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_32 ),
inference(avatar_split_clause,[],[f11789,f2934,f128,f122,f117,f95,f21036]) ).
fof(f25739,plain,
! [X0,X1] : and_star(X1,xor(truth,X0)) = and_star(xor(X0,truth),X1),
inference(superposition,[],[f14,f6707]) ).
fof(f26291,plain,
( and_star(sF3,and_star(sF2,xor(truth,and_star(sF0,sF2)))) = and_star(sF4,xor(truth,and_star(b,sF1)))
| ~ spl11_3
| ~ spl11_9
| ~ spl11_41 ),
inference(superposition,[],[f1121,f3794]) ).
fof(f26387,plain,
( and_star(sF3,and_star(sF2,xor(truth,and_star(sF0,sF2)))) = and_star(sF4,xor(truth,and_star(sF1,b)))
| ~ spl11_3
| ~ spl11_9
| ~ spl11_41 ),
inference(forward_demodulation,[],[f26291,f14]) ).
fof(f26475,plain,
( and_star(sF4,xor(truth,falsehood)) = and_star(sF3,and_star(sF2,xor(truth,and_star(sF0,sF2))))
| ~ spl11_3
| ~ spl11_9
| ~ spl11_26
| ~ spl11_41 ),
inference(forward_demodulation,[],[f26387,f2032]) ).
fof(f26550,plain,
( and_star(sF4,xor(truth,falsehood)) = and_star(sF2,and_star(xor(truth,and_star(sF0,sF2)),sF3))
| ~ spl11_3
| ~ spl11_9
| ~ spl11_26
| ~ spl11_41 ),
inference(forward_demodulation,[],[f26475,f165]) ).
fof(f26621,plain,
( and_star(sF4,xor(truth,falsehood)) = and_star(sF2,and_star(sF3,xor(truth,and_star(sF0,sF2))))
| ~ spl11_3
| ~ spl11_9
| ~ spl11_26
| ~ spl11_41 ),
inference(forward_demodulation,[],[f26550,f14]) ).
fof(f26678,plain,
( and_star(sF2,sF4) = and_star(sF4,xor(truth,falsehood))
| ~ spl11_3
| ~ spl11_9
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f26621,f21038]) ).
fof(f26726,plain,
( and_star(sF2,sF4) = and_star(sF4,xor(falsehood,truth))
| ~ spl11_3
| ~ spl11_9
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f26678,f9565]) ).
fof(f26767,plain,
( and_star(sF2,sF4) = and_star(sF4,truth)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f26726,f143]) ).
fof(f26798,plain,
( sF4 = and_star(sF2,sF4)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f26767,f5]) ).
fof(f26824,plain,
( sF4 = sF7
| ~ spl11_3
| ~ spl11_9
| ~ spl11_15
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f26798,f445]) ).
fof(f26869,plain,
( falsehood = and_star(sF4,sF8)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(backward_demodulation,[],[f1905,f26824]) ).
fof(f26871,plain,
( ! [X0] : falsehood = and_star(sF4,and_star(sF8,X0))
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(backward_demodulation,[],[f1920,f26824]) ).
fof(f27020,plain,
( ! [X0] : falsehood = and_star(sF9,X0)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f26871,f441]) ).
fof(f27022,plain,
( falsehood = sF9
| ~ spl11_3
| ~ spl11_9
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f26869,f439]) ).
fof(f27096,plain,
( ! [X0] : falsehood = and_star(X0,xor(truth,and_star(sF10,X0)))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(backward_demodulation,[],[f13761,f27020]) ).
fof(f27102,plain,
( ! [X0] : sF10 = and_star(xor(truth,falsehood),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0)))))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(backward_demodulation,[],[f14166,f27020]) ).
fof(f27118,plain,
( ! [X0] : xor(sF9,X0) = X0
| ~ spl11_3
| ~ spl11_9
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(backward_demodulation,[],[f143,f27022]) ).
fof(f27335,plain,
( ! [X0] : sF10 = and_star(xor(falsehood,truth),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0)))))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f27102,f6200]) ).
fof(f27341,plain,
( ! [X0] : sF9 = and_star(X0,xor(truth,and_star(sF10,X0)))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f27096,f27022]) ).
fof(f27403,plain,
( ! [X0] : xor(truth,X0) = xor(sF10,X0)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(backward_demodulation,[],[f87,f27118]) ).
fof(f27440,plain,
( ! [X0] : sF10 = and_star(xor(sF9,truth),xor(truth,and_star(X0,xor(truth,and_star(sF10,X0)))))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f27335,f27022]) ).
fof(f28024,plain,
( ! [X0,X1] : and_star(xor(X0,truth),X1) = and_star(X1,xor(sF10,X0))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(backward_demodulation,[],[f25739,f27403]) ).
fof(f28144,plain,
( ! [X0] : sF9 = and_star(X0,xor(sF10,and_star(sF10,X0)))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(backward_demodulation,[],[f27341,f27403]) ).
fof(f28309,plain,
( ! [X0] : sF10 = and_star(xor(sF9,truth),xor(sF10,and_star(X0,xor(truth,and_star(sF10,X0)))))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f27440,f27403]) ).
fof(f29056,plain,
( ! [X0] : sF10 = and_star(xor(sF9,truth),xor(sF10,and_star(X0,xor(sF10,and_star(sF10,X0)))))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f28309,f27403]) ).
fof(f29700,plain,
( sF10 = and_star(xor(sF9,truth),xor(sF10,sF9))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f29056,f28144]) ).
fof(f30120,plain,
( sF10 = and_star(xor(sF9,truth),xor(sF9,truth))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f29700,f28024]) ).
fof(f30338,plain,
( sF10 = and_star(truth,truth)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f30120,f27118]) ).
fof(f30465,plain,
( truth = sF10
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_demodulation,[],[f30338,f5]) ).
fof(f30562,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(forward_subsumption_resolution,[],[f30465,f62]) ).
fof(f30563,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(avatar_contradiction_clause,[],[f30562]) ).
cnf(s1,plain,
~ spl11_1,
inference(sat_conversion,[],[f63]) ).
cnf(s2,plain,
spl11_2,
inference(sat_conversion,[],[f86]) ).
cnf(s3,plain,
spl11_3,
inference(sat_conversion,[],[f92]) ).
cnf(s4,plain,
spl11_4,
inference(sat_conversion,[],[f98]) ).
cnf(s5,plain,
spl11_5,
inference(sat_conversion,[],[f104]) ).
cnf(s7,plain,
spl11_7,
inference(sat_conversion,[],[f120]) ).
cnf(s8,plain,
spl11_8,
inference(sat_conversion,[],[f125]) ).
cnf(s9,plain,
spl11_9,
inference(sat_conversion,[],[f131]) ).
cnf(s10,plain,
spl11_10,
inference(sat_conversion,[],[f136]) ).
cnf(s11,plain,
spl11_11,
inference(sat_conversion,[],[f152]) ).
cnf(s12,plain,
spl11_12,
inference(sat_conversion,[],[f175]) ).
cnf(s13,plain,
spl11_13,
inference(sat_conversion,[],[f181]) ).
cnf(s14,plain,
( ~ spl11_5
| ~ spl11_11
| ~ spl11_12
| spl11_14 ),
inference(sat_conversion,[],[f440]) ).
cnf(s15,plain,
( ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| spl11_15 ),
inference(sat_conversion,[],[f446]) ).
cnf(s24,plain,
( ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| spl11_24 ),
inference(sat_conversion,[],[f1906]) ).
cnf(s26,plain,
( ~ spl11_3
| ~ spl11_7
| spl11_26 ),
inference(sat_conversion,[],[f2033]) ).
cnf(s32,plain,
( ~ spl11_3
| spl11_32 ),
inference(sat_conversion,[],[f2937]) ).
cnf(s41,plain,
( ~ spl11_8
| spl11_41 ),
inference(sat_conversion,[],[f3795]) ).
cnf(s79,plain,
( ~ spl11_4
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_32
| spl11_79 ),
inference(sat_conversion,[],[f21039]) ).
cnf(s88,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_24
| ~ spl11_26
| ~ spl11_41
| ~ spl11_79 ),
inference(sat_conversion,[],[f30563]) ).
cnf(s98,plain,
spl11_41,
inference(rat,[],[s41,s8]) ).
cnf(s104,plain,
spl11_15,
inference(rat,[],[s15,s11,s13,s5]) ).
cnf(s105,plain,
spl11_14,
inference(rat,[],[s14,s11,s12,s5]) ).
cnf(s109,plain,
spl11_24,
inference(rat,[],[s24,s5,s10,s13,s11,s105]) ).
cnf(s127,plain,
spl11_32,
inference(rat,[],[s32,s3]) ).
cnf(s129,plain,
spl11_26,
inference(rat,[],[s26,s7,s3]) ).
cnf(s134,plain,
spl11_79,
inference(rat,[],[s79,s4,s7,s9,s8,s127]) ).
cnf(s144,plain,
spl11_1,
inference(rat,[],[s88,s134,s98,s129,s109,s104,s105,s13,s11,s9,s5,s3,s2]) ).
cnf(s162,plain,
$false,
inference(rat,[],[s1,s144]) ).
fof(f30683,plain,
$false,
inference(avatar_sat_refutation,[],[s162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL109-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:25:26 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.91/2.29 % (2988554)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.91/2.29 % (2988559)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=3868644043:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.91/2.29 % (2988565)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2012691122:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.91/2.29 % (2988560)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=2826777255:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.91/2.29 % (2988563)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=117820573:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.91/2.29 % (2988561)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=186769348:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.91/2.29 % (2988562)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=636069419:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.91/2.29 % (2988564)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4267041498:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.91/2.29 % (2988562)Instruction limit reached!
% 9.91/2.29 % (2988562)------------------------------
% 9.91/2.29 % (2988562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/2.29 % (2988562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/2.29 % (2988562)CaDiCaL version: 2.1.3
% 9.91/2.29 % (2988562)Termination reason: Instruction limit
% 9.91/2.29 % (2988562)Termination phase: Saturation
% 9.91/2.29 % (2988562)Time elapsed: 0.079 s
% 9.91/2.29 % (2988562)Peak memory usage: 88 MB
% 9.91/2.29 % (2988562)Instructions burned: 138 (million)
% 9.91/2.29 % (2988563)Instruction limit reached!
% 9.91/2.29 % (2988563)------------------------------
% 9.91/2.29 % (2988563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/2.29 % (2988563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/2.29 % (2988563)CaDiCaL version: 2.1.3
% 9.91/2.29 % (2988563)Termination reason: Instruction limit
% 9.91/2.29 % (2988563)Termination phase: Saturation
% 9.91/2.29 % (2988563)Time elapsed: 0.099 s
% 9.91/2.29 % (2988563)Peak memory usage: 89 MB
% 9.91/2.29 % (2988563)Instructions burned: 183 (million)
% 9.91/2.29 % (2988564)Instruction limit reached!
% 9.91/2.29 % (2988564)------------------------------
% 9.91/2.29 % (2988564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/2.29 % (2988564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/2.29 % (2988564)CaDiCaL version: 2.1.3
% 9.91/2.29 % (2988564)Termination reason: Instruction limit
% 9.91/2.29 % (2988564)Termination phase: Saturation
% 9.91/2.29 % (2988564)Time elapsed: 0.148 s
% 9.91/2.29 % (2988564)Peak memory usage: 90 MB
% 9.91/2.29 % (2988564)Instructions burned: 257 (million)
% 9.91/2.29 % (2988573)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2078876056:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 9.91/2.29 % (2988574)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1763392232:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 9.91/2.29 % (2988575)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3706207085:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 9.91/2.29 % (2988575)Instruction limit reached!
% 9.91/2.29 % (2988575)------------------------------
% 9.91/2.29 % (2988575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/2.29 % (2988575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/2.29 % (2988575)CaDiCaL version: 2.1.3
% 9.91/2.29 % (2988575)Termination reason: Instruction limit
% 9.91/2.29 % (2988575)Termination phase: Saturation
% 9.91/2.29 % (2988575)Time elapsed: 0.109 s
% 9.91/2.29 % (2988575)Peak memory usage: 90 MB
% 9.91/2.29 % (2988575)Instructions burned: 217 (million)
% 9.91/2.29 % (2988579)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=3112412419: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)
% 9.91/2.29 % (2988565)Instruction limit reached!
% 9.91/2.29 % (2988565)------------------------------
% 9.91/2.29 % (2988565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/2.29 % (2988565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/2.29 % (2988565)CaDiCaL version: 2.1.3
% 9.91/2.29 % (2988565)Termination reason: Instruction limit
% 9.91/2.29 % (2988565)Termination phase: Saturation
% 9.91/2.29 % (2988565)Time elapsed: 0.605 s
% 9.91/2.29 % (2988565)Peak memory usage: 97 MB
% 9.91/2.29 % (2988565)Instructions burned: 1188 (million)
% 9.91/2.29 % (2988579)Instruction limit reached!
% 9.91/2.29 % (2988579)------------------------------
% 9.91/2.29 % (2988579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/2.29 % (2988579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/2.29 % (2988579)CaDiCaL version: 2.1.3
% 9.91/2.29 % (2988579)Termination reason: Instruction limit
% 9.91/2.29 % (2988579)Termination phase: Saturation
% 9.91/2.29 % (2988579)Time elapsed: 0.165 s
% 9.91/2.29 % (2988579)Peak memory usage: 90 MB
% 9.91/2.29 % (2988579)Instructions burned: 318 (million)
% 9.91/2.29 % (2988581)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=3522369525:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 9.91/2.29 % (2988582)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=770297702:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 9.91/2.29 % (2988559)First to succeed.
% 9.91/2.29 % (2988559)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2988554"
% 9.91/2.29 % (2988561)Also succeeded, but the first one will report.
% 9.91/2.29 % (2988559)Refutation found. Thanks to Tanya!
% 9.91/2.29 % SZS status Unsatisfiable for theBenchmark
% 9.91/2.29 % SZS output start Proof for theBenchmark
% See solution above
% 10.69/2.49 % (2988559)------------------------------
% 10.69/2.49 % (2988559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/2.49 % (2988559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.49 % (2988559)CaDiCaL version: 2.1.3
% 10.69/2.49 % (2988559)Termination reason: Refutation
% 10.69/2.49 % (2988559)Time elapsed: 1.136 s
% 10.69/2.49 % (2988559)Peak memory usage: 147 MB
% 10.69/2.49 % (2988559)Instructions burned: 3379 (million)
% 10.69/2.49 % (2988559)------------------------------
% 10.69/2.49 % (2988559)------------------------------
% 10.69/2.49 % (2988554)Success in time 1.431 s
% 10.69/2.49 % Vampire exiting
%------------------------------------------------------------------------------