%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE170+1.004 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 11:40:32 AM UTC 2026
% Result : Theorem 13.15s 2.87s
% Output : Refutation 14.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 17
% Syntax : Number of formulae : 151 ( 108 unt; 5 def)
% Number of atoms : 197 ( 115 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 93 ( 47 ~; 42 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 126 ( 0 sgn 126 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction_left) ).
fof(f17,conjecture,
leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
fof(f18,negated_conjecture,
~ leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
~ leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f24,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f40,plain,
~ leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)),
inference(cnf_transformation,[],[f19]) ).
fof(f41,definition,
sF0 = multiplication(a,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f42,plain,
multiplication(a,a) = sF0,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF1 = multiplication(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f44,plain,
multiplication(a,sF0) = sF1,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF2 = multiplication(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f46,plain,
multiplication(a,sF1) = sF2,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF3 = star(a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f48,plain,
star(a) = sF3,
inference(reorient_equations,[],[f47]) ).
fof(f49,plain,
~ leq(sF2,sF3),
inference(definition_folding,[],[f40,f48,f46,f44,f42]) ).
fof(f56,plain,
! [X2,X0,X1] :
( multiplication(X0,addition(X1,X2)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(superposition,[],[f35,f30]) ).
fof(f112,plain,
! [X0] : multiplication(addition(a,X0),a) = addition(sF0,multiplication(X0,a)),
inference(superposition,[],[f31,f42]) ).
fof(f152,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f36,f34]) ).
fof(f155,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f152,f23]) ).
fof(f158,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f35,f26]) ).
fof(f161,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f158]) ).
fof(f170,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f24,f30]) ).
fof(f173,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f24,f23]) ).
fof(f174,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f24,f26]) ).
fof(f180,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f23,f24]) ).
fof(f185,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f37,f34]) ).
fof(f187,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f185,f23]) ).
fof(f188,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(forward_demodulation,[],[f187,f180]) ).
fof(f189,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f188,f23]) ).
fof(f199,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f30,f28]) ).
fof(f201,plain,
star(one) = addition(one,addition(star(one),star(one))),
inference(superposition,[],[f189,f28]) ).
fof(f207,plain,
star(one) = addition(one,star(one)),
inference(forward_demodulation,[],[f201,f26]) ).
fof(f251,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f174,f189]) ).
fof(f254,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f35,f174]) ).
fof(f256,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f254]) ).
fof(f264,plain,
sF3 = addition(one,sF3),
inference(superposition,[],[f251,f48]) ).
fof(f270,plain,
! [X0] : addition(sF3,X0) = addition(one,addition(sF3,X0)),
inference(superposition,[],[f24,f264]) ).
fof(f276,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f256,f23]) ).
fof(f303,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f31,f29]) ).
fof(f317,plain,
addition(sF0,sF1) = multiplication(addition(one,a),sF0),
inference(superposition,[],[f303,f44]) ).
fof(f318,plain,
addition(sF1,sF2) = multiplication(addition(one,a),sF1),
inference(superposition,[],[f303,f46]) ).
fof(f340,plain,
addition(sF1,sF2) = multiplication(addition(a,one),sF1),
inference(forward_demodulation,[],[f318,f23]) ).
fof(f341,plain,
addition(sF0,sF1) = multiplication(addition(a,one),sF0),
inference(forward_demodulation,[],[f317,f23]) ).
fof(f393,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(X0,addition(X1,X2)),X1)
| leq(multiplication(star(X0),multiplication(X0,X2)),X1) ),
inference(superposition,[],[f38,f30]) ).
fof(f395,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f38,f26]) ).
fof(f408,plain,
sF3 = addition(sF3,addition(one,multiplication(a,sF3))),
inference(superposition,[],[f155,f48]) ).
fof(f420,plain,
sF3 = addition(one,addition(multiplication(a,sF3),sF3)),
inference(forward_demodulation,[],[f408,f180]) ).
fof(f425,plain,
sF3 = addition(one,addition(sF3,multiplication(a,sF3))),
inference(forward_demodulation,[],[f420,f23]) ).
fof(f429,plain,
sF3 = addition(sF3,multiplication(a,sF3)),
inference(forward_demodulation,[],[f425,f270]) ).
fof(f432,plain,
sF3 = multiplication(addition(one,a),sF3),
inference(forward_demodulation,[],[f429,f303]) ).
fof(f434,plain,
sF3 = multiplication(addition(a,one),sF3),
inference(forward_demodulation,[],[f432,f23]) ).
fof(f437,plain,
! [X0] : multiplication(addition(a,one),addition(sF3,X0)) = addition(sF3,multiplication(addition(a,one),X0)),
inference(superposition,[],[f30,f434]) ).
fof(f439,plain,
! [X0] : multiplication(addition(X0,addition(a,one)),sF3) = addition(multiplication(X0,sF3),sF3),
inference(superposition,[],[f31,f434]) ).
fof(f443,plain,
multiplication(addition(a,one),addition(one,sF3)) = addition(addition(a,one),sF3),
inference(superposition,[],[f199,f434]) ).
fof(f446,plain,
multiplication(addition(a,one),addition(one,sF3)) = addition(a,addition(one,sF3)),
inference(forward_demodulation,[],[f443,f24]) ).
fof(f448,plain,
! [X0] : multiplication(addition(X0,addition(a,one)),sF3) = addition(sF3,multiplication(X0,sF3)),
inference(forward_demodulation,[],[f439,f23]) ).
fof(f451,plain,
multiplication(addition(a,one),sF3) = addition(a,sF3),
inference(forward_demodulation,[],[f446,f264]) ).
fof(f453,plain,
! [X0] : multiplication(addition(X0,addition(a,one)),sF3) = multiplication(addition(one,X0),sF3),
inference(forward_demodulation,[],[f448,f303]) ).
fof(f455,plain,
sF3 = addition(a,sF3),
inference(forward_demodulation,[],[f451,f434]) ).
fof(f491,plain,
! [X0] :
( leq(multiplication(star(one),X0),X0)
| ~ leq(X0,X0) ),
inference(superposition,[],[f395,f29]) ).
fof(f544,plain,
! [X0] : leq(multiplication(star(one),X0),X0),
inference(forward_subsumption_resolution,[],[f491,f161]) ).
fof(f838,plain,
addition(sF0,a) = multiplication(addition(a,one),a),
inference(superposition,[],[f112,f29]) ).
fof(f854,plain,
addition(a,sF0) = multiplication(addition(a,one),a),
inference(forward_demodulation,[],[f838,f23]) ).
fof(f914,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f170,f31]) ).
fof(f1014,plain,
! [X0,X1] : addition(multiplication(X0,X1),multiplication(addition(X0,addition(a,one)),sF3)) = addition(multiplication(X0,addition(X1,sF3)),sF3),
inference(superposition,[],[f914,f434]) ).
fof(f1123,plain,
! [X0,X1] : addition(multiplication(X0,X1),multiplication(addition(X0,addition(a,one)),sF3)) = addition(sF3,multiplication(X0,addition(X1,sF3))),
inference(forward_demodulation,[],[f1014,f23]) ).
fof(f1161,plain,
! [X0,X1] : addition(sF3,multiplication(X0,addition(X1,sF3))) = addition(multiplication(X0,X1),multiplication(addition(one,X0),sF3)),
inference(forward_demodulation,[],[f1123,f453]) ).
fof(f2243,plain,
! [X0] : addition(multiplication(star(one),X0),X0) = X0,
inference(resolution,[],[f544,f34]) ).
fof(f2246,plain,
! [X0] : addition(X0,multiplication(star(one),X0)) = X0,
inference(forward_demodulation,[],[f2243,f23]) ).
fof(f2247,plain,
! [X0] : multiplication(addition(one,star(one)),X0) = X0,
inference(forward_demodulation,[],[f2246,f303]) ).
fof(f2248,plain,
! [X0] : multiplication(star(one),X0) = X0,
inference(forward_demodulation,[],[f2247,f207]) ).
fof(f2372,plain,
! [X0] :
( multiplication(X0,sF3) != multiplication(X0,sF3)
| leq(multiplication(X0,a),multiplication(X0,sF3)) ),
inference(superposition,[],[f56,f455]) ).
fof(f2391,plain,
! [X0] : leq(multiplication(X0,a),multiplication(X0,sF3)),
inference(trivial_inequality_removal,[],[f2372]) ).
fof(f2441,plain,
leq(multiplication(addition(a,one),a),sF3),
inference(superposition,[],[f2391,f434]) ).
fof(f2452,plain,
leq(addition(a,sF0),sF3),
inference(forward_demodulation,[],[f2441,f854]) ).
fof(f2458,plain,
sF3 = addition(addition(a,sF0),sF3),
inference(resolution,[],[f2452,f34]) ).
fof(f2459,plain,
sF3 = addition(a,addition(sF0,sF3)),
inference(forward_demodulation,[],[f2458,f24]) ).
fof(f2466,plain,
leq(addition(sF0,sF3),sF3),
inference(superposition,[],[f276,f2459]) ).
fof(f2474,definition,
( spl4_36
<=> sF3 = addition(sF0,sF3) ),
introduced(definition,[new_symbols(definition,[spl4_36])],[avatar_definition]) ).
fof(f2475,plain,
( sF3 = addition(sF0,sF3)
| ~ spl4_36 ),
inference(avatar_component_clause,[],[f2474]) ).
fof(f2476,plain,
( sF3 != addition(sF0,sF3)
| spl4_36 ),
inference(avatar_component_clause,[],[f2474]) ).
fof(f2529,plain,
sF3 = addition(addition(sF0,sF3),sF3),
inference(resolution,[],[f2466,f34]) ).
fof(f2530,plain,
sF3 = addition(sF0,addition(sF3,sF3)),
inference(forward_demodulation,[],[f2529,f24]) ).
fof(f2531,plain,
sF3 = addition(sF0,sF3),
inference(forward_demodulation,[],[f2530,f26]) ).
fof(f2532,plain,
( $false
| spl4_36 ),
inference(forward_subsumption_resolution,[],[f2531,f2476]) ).
fof(f2533,plain,
spl4_36,
inference(avatar_contradiction_clause,[],[f2532]) ).
fof(f2537,plain,
( ! [X0] : addition(sF3,X0) = addition(sF0,addition(sF3,X0))
| ~ spl4_36 ),
inference(superposition,[],[f24,f2475]) ).
fof(f3777,plain,
! [X0,X1] :
( ~ leq(addition(X0,X1),X0)
| leq(multiplication(star(one),multiplication(one,X1)),X0) ),
inference(superposition,[],[f393,f29]) ).
fof(f3786,plain,
! [X0,X1] :
( leq(multiplication(one,X1),X0)
| ~ leq(addition(X0,X1),X0) ),
inference(forward_demodulation,[],[f3777,f2248]) ).
fof(f3798,plain,
! [X0,X1] :
( ~ leq(addition(X0,X1),X0)
| leq(X1,X0) ),
inference(forward_demodulation,[],[f3786,f29]) ).
fof(f3806,plain,
! [X0,X1] :
( ~ leq(addition(X0,X1),X1)
| leq(X0,X1) ),
inference(superposition,[],[f3798,f23]) ).
fof(f4340,plain,
( ! [X0] : addition(sF3,X0) = addition(sF3,addition(sF0,X0))
| ~ spl4_36 ),
inference(superposition,[],[f173,f2475]) ).
fof(f4414,plain,
( ! [X0] : addition(sF3,X0) = addition(sF0,addition(X0,sF3))
| ~ spl4_36 ),
inference(forward_demodulation,[],[f4340,f180]) ).
fof(f4470,plain,
addition(sF3,multiplication(addition(a,one),addition(sF0,sF3))) = addition(addition(sF0,sF1),multiplication(addition(one,addition(a,one)),sF3)),
inference(superposition,[],[f1161,f341]) ).
fof(f4595,plain,
addition(sF3,multiplication(addition(a,one),addition(sF0,sF3))) = addition(sF0,addition(sF1,multiplication(addition(one,addition(a,one)),sF3))),
inference(forward_demodulation,[],[f4470,f24]) ).
fof(f4650,plain,
addition(sF3,multiplication(addition(a,one),addition(sF0,sF3))) = addition(sF0,addition(sF1,multiplication(addition(one,one),sF3))),
inference(forward_demodulation,[],[f4595,f453]) ).
fof(f4685,plain,
addition(sF3,multiplication(addition(a,one),addition(sF0,sF3))) = addition(sF0,addition(sF1,multiplication(one,sF3))),
inference(forward_demodulation,[],[f4650,f26]) ).
fof(f4706,plain,
addition(sF0,addition(sF1,sF3)) = addition(sF3,multiplication(addition(a,one),addition(sF0,sF3))),
inference(forward_demodulation,[],[f4685,f29]) ).
fof(f4721,plain,
addition(sF0,addition(sF1,sF3)) = multiplication(addition(a,one),addition(sF3,addition(sF0,sF3))),
inference(forward_demodulation,[],[f4706,f437]) ).
fof(f4732,plain,
addition(sF0,addition(sF1,sF3)) = multiplication(addition(a,one),addition(sF0,addition(sF3,sF3))),
inference(forward_demodulation,[],[f4721,f180]) ).
fof(f4742,plain,
( addition(sF0,addition(sF1,sF3)) = multiplication(addition(a,one),addition(sF3,sF3))
| ~ spl4_36 ),
inference(forward_demodulation,[],[f4732,f2537]) ).
fof(f4751,plain,
( multiplication(addition(a,one),sF3) = addition(sF0,addition(sF1,sF3))
| ~ spl4_36 ),
inference(forward_demodulation,[],[f4742,f26]) ).
fof(f4757,plain,
( multiplication(addition(a,one),sF3) = addition(sF3,sF1)
| ~ spl4_36 ),
inference(forward_demodulation,[],[f4751,f4414]) ).
fof(f4761,plain,
( multiplication(addition(a,one),sF3) = addition(sF1,sF3)
| ~ spl4_36 ),
inference(forward_demodulation,[],[f4757,f23]) ).
fof(f4765,plain,
( sF3 = addition(sF1,sF3)
| ~ spl4_36 ),
inference(forward_demodulation,[],[f4761,f434]) ).
fof(f4776,plain,
( ! [X0] : addition(sF3,X0) = addition(sF3,addition(sF1,X0))
| ~ spl4_36 ),
inference(superposition,[],[f173,f4765]) ).
fof(f4778,plain,
( ! [X0] : addition(X0,sF3) = addition(sF1,addition(sF3,X0))
| ~ spl4_36 ),
inference(superposition,[],[f180,f4765]) ).
fof(f4794,plain,
( ! [X0] : addition(sF3,X0) = addition(sF1,addition(X0,sF3))
| ~ spl4_36 ),
inference(forward_demodulation,[],[f4776,f180]) ).
fof(f5715,plain,
addition(sF3,multiplication(addition(a,one),addition(sF1,sF3))) = addition(addition(sF1,sF2),multiplication(addition(one,addition(a,one)),sF3)),
inference(superposition,[],[f1161,f340]) ).
fof(f5716,plain,
addition(sF3,multiplication(addition(a,one),addition(sF1,sF3))) = addition(sF1,addition(sF2,multiplication(addition(one,addition(a,one)),sF3))),
inference(forward_demodulation,[],[f5715,f24]) ).
fof(f5745,plain,
addition(sF3,multiplication(addition(a,one),addition(sF1,sF3))) = addition(sF1,addition(sF2,multiplication(addition(one,one),sF3))),
inference(forward_demodulation,[],[f5716,f453]) ).
fof(f5759,plain,
addition(sF3,multiplication(addition(a,one),addition(sF1,sF3))) = addition(sF1,addition(sF2,multiplication(one,sF3))),
inference(forward_demodulation,[],[f5745,f26]) ).
fof(f5768,plain,
addition(sF3,multiplication(addition(a,one),addition(sF1,sF3))) = addition(sF1,addition(sF2,sF3)),
inference(forward_demodulation,[],[f5759,f29]) ).
fof(f5773,plain,
( addition(sF3,multiplication(addition(a,one),addition(sF1,sF3))) = addition(sF3,sF2)
| ~ spl4_36 ),
inference(forward_demodulation,[],[f5768,f4794]) ).
fof(f5776,plain,
( addition(sF2,sF3) = addition(sF3,multiplication(addition(a,one),addition(sF1,sF3)))
| ~ spl4_36 ),
inference(forward_demodulation,[],[f5773,f23]) ).
fof(f5778,plain,
( addition(sF2,sF3) = multiplication(addition(a,one),addition(sF3,addition(sF1,sF3)))
| ~ spl4_36 ),
inference(forward_demodulation,[],[f5776,f437]) ).
fof(f5780,plain,
( addition(sF2,sF3) = multiplication(addition(a,one),addition(sF1,addition(sF3,sF3)))
| ~ spl4_36 ),
inference(forward_demodulation,[],[f5778,f180]) ).
fof(f5782,plain,
( multiplication(addition(a,one),addition(sF3,sF3)) = addition(sF2,sF3)
| ~ spl4_36 ),
inference(forward_demodulation,[],[f5780,f4778]) ).
fof(f5784,plain,
( multiplication(addition(a,one),sF3) = addition(sF2,sF3)
| ~ spl4_36 ),
inference(forward_demodulation,[],[f5782,f26]) ).
fof(f5786,plain,
( sF3 = addition(sF2,sF3)
| ~ spl4_36 ),
inference(forward_demodulation,[],[f5784,f434]) ).
fof(f5802,plain,
( ~ leq(sF3,sF3)
| leq(sF2,sF3)
| ~ spl4_36 ),
inference(superposition,[],[f3806,f5786]) ).
fof(f5806,plain,
( leq(sF2,sF3)
| ~ spl4_36 ),
inference(forward_subsumption_resolution,[],[f5802,f161]) ).
fof(f5824,plain,
( $false
| ~ spl4_36 ),
inference(forward_subsumption_resolution,[],[f5806,f49]) ).
fof(f5825,plain,
~ spl4_36,
inference(avatar_contradiction_clause,[],[f5824]) ).
cnf(s22,plain,
spl4_36,
inference(sat_conversion,[],[f2533]) ).
cnf(s40,plain,
~ spl4_36,
inference(sat_conversion,[],[f5825]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s22,s40]) ).
fof(f5826,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE170+1.004 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 % Computer : n019.cluster.edu
% 0.12/0.43 % Model : x86_64 x86_64
% 0.12/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.43 % Memory : 8046.5625MB
% 0.12/0.43 % OS : Linux 6.8.0-71-generic
% 0.12/0.43 % CPULimit : 300
% 0.12/0.43 % WCLimit : 300
% 0.12/0.43 % DateTime : Sun Sep 27 13:15:19 UTC 2026
% 0.12/0.43 % CPUTime :
% 0.12/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.46 Running first-order theorem proving
% 0.16/0.46 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
% 9.40/2.21 % (3087639)Detected formulas, will run a generic FOF schedule.
% 9.40/2.21 % (3087648)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=782898815:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.40/2.21 % (3087645)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3880842114:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.40/2.21 % (3087644)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=651349636:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.40/2.21 % (3087646)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2111981413:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.40/2.21 % (3087647)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2673660229:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.40/2.21 % (3087647)Refutation not found, incomplete strategy
% 9.40/2.21 % (3087647)------------------------------
% 9.40/2.21 % (3087647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.21 % (3087647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.21 % (3087647)CaDiCaL version: 2.1.3
% 9.40/2.21 % (3087647)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.21 % (3087647)Time elapsed: 0.001 s
% 9.40/2.21 % (3087647)Peak memory usage: 88 MB
% 9.40/2.21 % (3087648)Instruction limit reached!
% 9.40/2.21 % (3087648)------------------------------
% 9.40/2.21 % (3087648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.21 % (3087648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.21 % (3087648)CaDiCaL version: 2.1.3
% 9.40/2.21 % (3087648)Termination reason: Instruction limit
% 9.40/2.21 % (3087648)Termination phase: Saturation
% 9.40/2.21 % (3087648)Time elapsed: 0.037 s
% 9.40/2.21 % (3087648)Peak memory usage: 88 MB
% 9.40/2.21 % (3087648)Instructions burned: 121 (million)
% 9.40/2.21 % (3087650)dis-21_1_sil=8000:lcm=predicate:random_seed=4026241363:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.40/2.21 % (3087649)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3739040389:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.40/2.21 % (3087650)Refutation not found, incomplete strategy
% 9.40/2.21 % (3087650)------------------------------
% 9.40/2.21 % (3087650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.21 % (3087650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.21 % (3087650)CaDiCaL version: 2.1.3
% 9.40/2.21 % (3087650)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.21 % (3087650)Time elapsed: 0.001 s
% 9.40/2.21 % (3087650)Peak memory usage: 88 MB
% 9.40/2.21 % (3087650)Instructions burned: 1 (million)
% 9.40/2.21 % (3087649)Instruction limit reached!
% 9.40/2.21 % (3087649)------------------------------
% 9.40/2.21 % (3087649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.21 % (3087649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.21 % (3087649)CaDiCaL version: 2.1.3
% 9.40/2.21 % (3087649)Termination reason: Instruction limit
% 9.40/2.21 % (3087649)Termination phase: Saturation
% 9.40/2.21 % (3087649)Time elapsed: 0.085 s
% 9.40/2.21 % (3087649)Peak memory usage: 90 MB
% 9.40/2.21 % (3087649)Instructions burned: 139 (million)
% 9.40/2.21 % (3087658)lrs+10_1_sil=8000:sp=occurrence:random_seed=3371984613:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.40/2.21 % (3087658)Instruction limit reached!
% 9.40/2.21 % (3087658)------------------------------
% 9.40/2.21 % (3087658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.21 % (3087658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.21 % (3087658)CaDiCaL version: 2.1.3
% 9.40/2.21 % (3087658)Termination reason: Instruction limit
% 9.40/2.21 % (3087658)Termination phase: Saturation
% 9.40/2.21 % (3087658)Time elapsed: 0.119 s
% 9.40/2.21 % (3087658)Peak memory usage: 91 MB
% 9.40/2.21 % (3087658)Instructions burned: 288 (million)
% 9.40/2.21 % (3087660)lrs+10_1_sil=32000:urr=on:br=off:random_seed=226022358:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.15/2.87 % (3087647)------------------------------
% 13.15/2.87 % (3087647)------------------------------
% 13.15/2.87 % (3087650)------------------------------
% 13.15/2.87 % (3087650)------------------------------
% 13.15/2.87 % (3087660)Instruction limit reached!
% 13.15/2.87 % (3087660)------------------------------
% 13.15/2.87 % (3087660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087660)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087660)Termination reason: Instruction limit
% 13.15/2.87 % (3087660)Termination phase: Saturation
% 13.15/2.87 % (3087660)Time elapsed: 0.082 s
% 13.15/2.87 % (3087660)Peak memory usage: 89 MB
% 13.15/2.87 % (3087660)Instructions burned: 159 (million)
% 13.15/2.87 % (3087661)lrs+1011_1_sil=32000:sp=occurrence:random_seed=892600842:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.15/2.87 % (3087663)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1971149268:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 13.15/2.87 % (3087664)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1457090379:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 13.15/2.87 % (3087664)Refutation not found, incomplete strategy
% 13.15/2.87 % (3087664)------------------------------
% 13.15/2.87 % (3087664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087664)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087664)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.87 % (3087664)Time elapsed: 0.001 s
% 13.15/2.87 % (3087664)Peak memory usage: 88 MB
% 13.15/2.87 % (3087664)Instructions burned: 1 (million)
% 13.15/2.87 % (3087665)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1086087248:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 13.15/2.87 % (3087661)Instruction limit reached!
% 13.15/2.87 % (3087661)------------------------------
% 13.15/2.87 % (3087661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087661)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087661)Termination reason: Instruction limit
% 13.15/2.87 % (3087661)Termination phase: Saturation
% 13.15/2.87 % (3087661)Time elapsed: 0.115 s
% 13.15/2.87 % (3087661)Peak memory usage: 93 MB
% 13.15/2.87 % (3087661)Instructions burned: 326 (million)
% 13.15/2.87 % (3087670)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2121315703:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 13.15/2.87 % (3087663)Instruction limit reached!
% 13.15/2.87 % (3087663)------------------------------
% 13.15/2.87 % (3087663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087663)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087663)Termination reason: Instruction limit
% 13.15/2.87 % (3087663)Termination phase: Saturation
% 13.15/2.87 % (3087663)Time elapsed: 0.157 s
% 13.15/2.87 % (3087663)Peak memory usage: 91 MB
% 13.15/2.87 % (3087663)Instructions burned: 249 (million)
% 13.15/2.87 % (3087670)Refutation not found, incomplete strategy
% 13.15/2.87 % (3087670)------------------------------
% 13.15/2.87 % (3087670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087670)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087670)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.87 % (3087670)Time elapsed: 0.001 s
% 13.15/2.87 % (3087670)Peak memory usage: 88 MB
% 13.15/2.87 % (3087670)Instructions burned: 1 (million)
% 13.15/2.87 % (3087646)Refutation not found, incomplete strategy
% 13.15/2.87 % (3087646)------------------------------
% 13.15/2.87 % (3087646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087646)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087646)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.87 % (3087646)Time elapsed: 0.599 s
% 13.15/2.87 % (3087646)Peak memory usage: 127 MB
% 13.15/2.87 % (3087646)Instructions burned: 894 (million)
% 13.15/2.87 % (3087664)------------------------------
% 13.15/2.87 % (3087664)------------------------------
% 13.15/2.87 % (3087672)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=525224658:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 13.15/2.87 % (3087672)Refutation not found, incomplete strategy
% 13.15/2.87 % (3087672)------------------------------
% 13.15/2.87 % (3087672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087672)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087672)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.87 % (3087672)Time elapsed: 0.001 s
% 13.15/2.87 % (3087672)Peak memory usage: 88 MB
% 13.15/2.87 % (3087670)------------------------------
% 13.15/2.87 % (3087670)------------------------------
% 13.15/2.87 % (3087673)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3025965519:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 13.15/2.87 % (3087673)Refutation not found, incomplete strategy
% 13.15/2.87 % (3087673)------------------------------
% 13.15/2.87 % (3087673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087673)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087673)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.87 % (3087673)Time elapsed: 0.001 s
% 13.15/2.87 % (3087673)Peak memory usage: 88 MB
% 13.15/2.87 % (3087675)lrs+10_1_sil=8000:sp=occurrence:random_seed=2418367362:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 13.15/2.87 % (3087646)------------------------------
% 13.15/2.87 % (3087646)------------------------------
% 13.15/2.87 % (3087672)------------------------------
% 13.15/2.87 % (3087672)------------------------------
% 13.15/2.87 % (3087678)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=700305909:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 13.15/2.87 % (3087678)Refutation not found, incomplete strategy
% 13.15/2.87 % (3087678)------------------------------
% 13.15/2.87 % (3087678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087678)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087678)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.87 % (3087678)Time elapsed: 0.001 s
% 13.15/2.87 % (3087678)Peak memory usage: 88 MB
% 13.15/2.87 % (3087673)------------------------------
% 13.15/2.87 % (3087673)------------------------------
% 13.15/2.87 % (3087679)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1040770659:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 13.15/2.87 % (3087675)Instruction limit reached!
% 13.15/2.87 % (3087675)------------------------------
% 13.15/2.87 % (3087675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087675)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087675)Termination reason: Instruction limit
% 13.15/2.87 % (3087675)Termination phase: Saturation
% 13.15/2.87 % (3087675)Time elapsed: 0.293 s
% 13.15/2.87 % (3087675)Peak memory usage: 96 MB
% 13.15/2.87 % (3087675)Instructions burned: 907 (million)
% 13.15/2.87 % (3087682)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1378278619:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 13.15/2.87 % (3087682)Refutation not found, incomplete strategy
% 13.15/2.87 % (3087682)------------------------------
% 13.15/2.87 % (3087682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087682)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087682)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.87 % (3087682)Time elapsed: 0.002 s
% 13.15/2.87 % (3087682)Peak memory usage: 89 MB
% 13.15/2.87 % (3087682)Instructions burned: 1 (million)
% 13.15/2.87 % (3087683)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1143205509:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 13.15/2.87 % (3087683)Refutation not found, incomplete strategy
% 13.15/2.87 % (3087683)------------------------------
% 13.15/2.87 % (3087683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087683)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087683)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.87 % (3087683)Time elapsed: 0.0000 s
% 13.15/2.87 % (3087683)Peak memory usage: 88 MB
% 13.15/2.87 % (3087678)------------------------------
% 13.15/2.87 % (3087678)------------------------------
% 13.15/2.87 % (3087683)------------------------------
% 13.15/2.87 % (3087683)------------------------------
% 13.15/2.87 % (3087686)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2009045785:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 13.15/2.87 % (3087682)------------------------------
% 13.15/2.87 % (3087682)------------------------------
% 13.15/2.87 % (3087687)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3651019798:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 13.15/2.87 % (3087687)Instruction limit reached!
% 13.15/2.87 % (3087687)------------------------------
% 13.15/2.87 % (3087687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087687)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087687)Termination reason: Instruction limit
% 13.15/2.87 % (3087687)Termination phase: Saturation
% 13.15/2.87 % (3087687)Time elapsed: 0.046 s
% 13.15/2.87 % (3087687)Peak memory usage: 90 MB
% 13.15/2.87 % (3087687)Instructions burned: 128 (million)
% 13.15/2.87 % (3087689)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4130732348:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 13.15/2.87 % (3087691)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1891231966:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/141Mi)
% 13.15/2.87 % (3087691)Refutation not found, incomplete strategy
% 13.15/2.87 % (3087691)------------------------------
% 13.15/2.87 % (3087691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087691)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087691)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.87 % (3087691)Time elapsed: 0.0000 s
% 13.15/2.87 % (3087691)Peak memory usage: 88 MB
% 13.15/2.87 % (3087665)First to succeed.
% 13.15/2.87 % (3087665)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3087639"
% 13.15/2.87 % (3087689)Instruction limit reached!
% 13.15/2.87 % (3087689)------------------------------
% 13.15/2.87 % (3087689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087689)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087689)Termination reason: Instruction limit
% 13.15/2.87 % (3087689)Termination phase: Saturation
% 13.15/2.87 % (3087689)Time elapsed: 0.085 s
% 13.15/2.87 % (3087689)Peak memory usage: 89 MB
% 13.15/2.87 % (3087689)Instructions burned: 135 (million)
% 13.15/2.87 % (3087691)------------------------------
% 13.15/2.87 % (3087691)------------------------------
% 13.15/2.87 % (3087694)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3794086557:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 13.15/2.87 % (3087694)Refutation not found, incomplete strategy
% 13.15/2.87 % (3087694)------------------------------
% 13.15/2.87 % (3087694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.87 % (3087694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.87 % (3087694)CaDiCaL version: 2.1.3
% 13.15/2.87 % (3087694)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.87 % (3087694)Time elapsed: 0.001 s
% 13.15/2.87 % (3087694)Peak memory usage: 88 MB
% 13.15/2.87 % (3087697)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1904761774:i=6060:aac=none:ins=25_2981 on theBenchmark for (2981ds/6060Mi)
% 13.15/2.87 % (3087665)Refutation found. Thanks to Tanya!
% 13.15/2.87 % SZS status Theorem for theBenchmark
% 13.15/2.87 % SZS output start Proof for theBenchmark
% See solution above
% 14.42/2.97 % (3087665)------------------------------
% 14.42/2.97 % (3087665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/2.97 % (3087665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/2.97 % (3087665)CaDiCaL version: 2.1.3
% 14.42/2.97 % (3087665)Termination reason: Refutation
% 14.42/2.97 % (3087665)Time elapsed: 1.139 s
% 14.42/2.97 % (3087665)Peak memory usage: 138 MB
% 14.42/2.97 % (3087665)Instructions burned: 1762 (million)
% 14.42/2.97 % (3087665)------------------------------
% 14.42/2.97 % (3087665)------------------------------
% 14.42/2.97 % (3087639)Success in time 1.972 s
% 14.42/2.97 % Vampire exiting
%------------------------------------------------------------------------------