%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE011+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:40:02 AM UTC 2026
% Result : Theorem 6.41s 1.84s
% Output : Refutation 7.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 130 ( 113 unt; 9 def)
% Number of atoms : 172 ( 134 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 68 ( 26 ~; 19 |; 17 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 96 ( 92 !; 4 ?)
% 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(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
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(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f17,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(flattening,[],[f21]) ).
fof(f26,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f29,plain,
( one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2)))
& test(sK2)
& test(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f22]) ).
fof(f30,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f37,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f43,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
test(sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
test(sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f54,definition,
sF3 = c(sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f55,plain,
c(sK2) = sF3,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF4 = addition(sK2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f57,plain,
addition(sK2,sF3) = sF4,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF5 = multiplication(sF4,sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f59,plain,
multiplication(sF4,sK1) = sF5,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF6 = c(sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f61,plain,
c(sK1) = sF6,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF7 = addition(sK1,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f63,plain,
addition(sK1,sF6) = sF7,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF8 = multiplication(sF7,sK2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f65,plain,
multiplication(sF7,sK2) = sF8,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF9 = addition(sF5,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f67,plain,
addition(sF5,sF8) = sF9,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF10 = multiplication(sF6,sF3),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f69,plain,
multiplication(sF6,sF3) = sF10,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF11 = addition(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f71,plain,
addition(sF9,sF10) = sF11,
inference(reorient_equations,[],[f70]) ).
fof(f72,plain,
one != sF11,
inference(definition_folding,[],[f52,f71,f69,f55,f61,f67,f65,f63,f61,f59,f57,f55]) ).
fof(f79,plain,
sF4 = addition(sF3,sK2),
inference(superposition,[],[f57,f30]) ).
fof(f80,plain,
sF7 = addition(sF6,sK1),
inference(superposition,[],[f63,f30]) ).
fof(f82,plain,
( complement(sK1,sF6)
| ~ test(sK1) ),
inference(superposition,[],[f53,f61]) ).
fof(f83,plain,
complement(sK1,sF6),
inference(forward_subsumption_resolution,[],[f82,f50]) ).
fof(f84,plain,
( complement(sK2,sF3)
| ~ test(sK2) ),
inference(superposition,[],[f53,f55]) ).
fof(f85,plain,
complement(sK2,sF3),
inference(forward_subsumption_resolution,[],[f84,f51]) ).
fof(f86,plain,
! [X0] : multiplication(addition(sF4,X0),sK1) = addition(sF5,multiplication(X0,sK1)),
inference(superposition,[],[f38,f59]) ).
fof(f106,plain,
! [X0] : addition(sF5,addition(sF8,X0)) = addition(sF9,X0),
inference(superposition,[],[f31,f67]) ).
fof(f126,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f31,f37]) ).
fof(f135,plain,
! [X0] : addition(sF4,X0) = addition(sF3,addition(sK2,X0)),
inference(superposition,[],[f31,f79]) ).
fof(f145,plain,
one = addition(sF3,sK2),
inference(resolution,[],[f85,f43]) ).
fof(f146,plain,
one = sF4,
inference(forward_demodulation,[],[f145,f79]) ).
fof(f147,plain,
one = addition(sF6,sK1),
inference(resolution,[],[f83,f43]) ).
fof(f148,plain,
one = sF7,
inference(forward_demodulation,[],[f147,f80]) ).
fof(f149,plain,
sF4 = sF7,
inference(forward_demodulation,[],[f148,f146]) ).
fof(f150,plain,
sF8 = multiplication(sF4,sK2),
inference(superposition,[],[f65,f149]) ).
fof(f185,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f192,plain,
addition(sF3,sK2) = addition(sF4,sK2),
inference(superposition,[],[f135,f33]) ).
fof(f195,plain,
sF4 = addition(sF4,sK2),
inference(forward_demodulation,[],[f192,f79]) ).
fof(f258,plain,
sF7 = addition(sK1,sF7),
inference(superposition,[],[f185,f63]) ).
fof(f260,plain,
sF4 = addition(sK2,sF4),
inference(superposition,[],[f185,f57]) ).
fof(f268,plain,
sF7 = addition(sF6,sF7),
inference(superposition,[],[f185,f80]) ).
fof(f294,plain,
sF4 = addition(sF6,sF4),
inference(forward_demodulation,[],[f268,f149]) ).
fof(f297,plain,
sF4 = addition(sK1,sF4),
inference(forward_demodulation,[],[f258,f149]) ).
fof(f320,plain,
! [X0] : multiplication(X0,sF4) = X0,
inference(superposition,[],[f35,f146]) ).
fof(f323,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f37,f35]) ).
fof(f324,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f37,f35]) ).
fof(f330,plain,
! [X0,X1] : addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(sF4,X1)),
inference(forward_demodulation,[],[f324,f146]) ).
fof(f331,plain,
! [X0,X1] : addition(multiplication(X0,X1),X0) = multiplication(X0,addition(X1,sF4)),
inference(forward_demodulation,[],[f323,f146]) ).
fof(f345,plain,
multiplication(sF4,addition(sF4,sK2)) = addition(sF4,sF8),
inference(superposition,[],[f330,f150]) ).
fof(f377,plain,
addition(sF4,sF8) = multiplication(sF4,sF4),
inference(forward_demodulation,[],[f345,f195]) ).
fof(f392,plain,
sF4 = addition(sF4,sF8),
inference(forward_demodulation,[],[f377,f320]) ).
fof(f420,plain,
addition(sF5,sF4) = multiplication(sF4,addition(sK1,sF4)),
inference(superposition,[],[f331,f59]) ).
fof(f421,plain,
addition(sF8,sF4) = multiplication(sF4,addition(sK2,sF4)),
inference(superposition,[],[f331,f150]) ).
fof(f442,plain,
multiplication(sF4,sF4) = addition(sF8,sF4),
inference(forward_demodulation,[],[f421,f260]) ).
fof(f443,plain,
multiplication(sF4,sF4) = addition(sF5,sF4),
inference(forward_demodulation,[],[f420,f297]) ).
fof(f451,plain,
sF4 = addition(sF8,sF4),
inference(forward_demodulation,[],[f442,f320]) ).
fof(f452,plain,
sF4 = addition(sF5,sF4),
inference(forward_demodulation,[],[f443,f320]) ).
fof(f501,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,[],[f126,f38]) ).
fof(f574,plain,
! [X0,X1] : addition(multiplication(X0,sF3),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,sF4),multiplication(X1,sK2)),
inference(superposition,[],[f501,f79]) ).
fof(f585,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK1)) = addition(multiplication(X0,sF7),multiplication(X1,sK1)),
inference(superposition,[],[f501,f80]) ).
fof(f674,plain,
! [X0,X1] : addition(multiplication(X0,sF4),multiplication(X1,sK1)) = addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK1)),
inference(forward_demodulation,[],[f585,f149]) ).
fof(f682,plain,
! [X0,X1] : addition(multiplication(X0,sF3),multiplication(addition(X0,X1),sK2)) = addition(X0,multiplication(X1,sK2)),
inference(forward_demodulation,[],[f574,f320]) ).
fof(f710,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK1)) = addition(X0,multiplication(X1,sK1)),
inference(forward_demodulation,[],[f674,f320]) ).
fof(f943,plain,
addition(sF6,multiplication(sF4,sK2)) = addition(multiplication(sF6,sF3),multiplication(sF4,sK2)),
inference(superposition,[],[f682,f294]) ).
fof(f968,plain,
addition(sF6,sF8) = addition(multiplication(sF6,sF3),sF8),
inference(forward_demodulation,[],[f943,f150]) ).
fof(f1003,plain,
addition(sF6,sF8) = addition(sF10,sF8),
inference(forward_demodulation,[],[f968,f69]) ).
fof(f1053,plain,
addition(sF6,sF8) = addition(sF8,sF10),
inference(superposition,[],[f30,f1003]) ).
fof(f1348,plain,
addition(sF5,multiplication(sF8,sK1)) = addition(multiplication(sF5,sF6),multiplication(sF9,sK1)),
inference(superposition,[],[f710,f67]) ).
fof(f1394,plain,
multiplication(addition(sF4,sF8),sK1) = addition(multiplication(sF5,sF6),multiplication(sF9,sK1)),
inference(forward_demodulation,[],[f1348,f86]) ).
fof(f1441,plain,
multiplication(sF4,sK1) = addition(multiplication(sF5,sF6),multiplication(sF9,sK1)),
inference(forward_demodulation,[],[f1394,f392]) ).
fof(f1474,plain,
sF5 = addition(multiplication(sF5,sF6),multiplication(sF9,sK1)),
inference(forward_demodulation,[],[f1441,f59]) ).
fof(f1854,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f30,f32]) ).
fof(f2031,plain,
addition(sF5,sF4) = addition(sF9,sF4),
inference(superposition,[],[f106,f451]) ).
fof(f2032,plain,
addition(sF9,sF10) = addition(sF5,addition(sF6,sF8)),
inference(superposition,[],[f106,f1053]) ).
fof(f2035,plain,
! [X0] : addition(sF9,X0) = addition(sF5,addition(X0,sF8)),
inference(superposition,[],[f106,f30]) ).
fof(f2060,plain,
addition(sF9,sF10) = addition(sF9,sF6),
inference(forward_demodulation,[],[f2032,f2035]) ).
fof(f2061,plain,
sF4 = addition(sF9,sF4),
inference(forward_demodulation,[],[f2031,f452]) ).
fof(f2066,plain,
sF11 = addition(sF9,sF6),
inference(forward_demodulation,[],[f2060,f71]) ).
fof(f2227,plain,
! [X0] : multiplication(sF4,X0) = X0,
inference(superposition,[],[f36,f146]) ).
fof(f2277,plain,
sK1 = sF5,
inference(superposition,[],[f59,f2227]) ).
fof(f2318,plain,
sF7 = addition(sF5,sF6),
inference(superposition,[],[f63,f2277]) ).
fof(f2320,plain,
complement(sF5,sF6),
inference(superposition,[],[f83,f2277]) ).
fof(f2347,plain,
sF4 = addition(sF5,sF6),
inference(forward_demodulation,[],[f2318,f149]) ).
fof(f2423,plain,
! [X0,X1] : addition(multiplication(X0,sF4),multiplication(X1,sF6)) = addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sF6)),
inference(superposition,[],[f501,f2347]) ).
fof(f2436,plain,
! [X0,X1] : addition(X0,multiplication(X1,sF6)) = addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sF6)),
inference(forward_demodulation,[],[f2423,f320]) ).
fof(f3139,plain,
addition(sF9,multiplication(sF4,sF6)) = addition(multiplication(sF9,sF5),multiplication(sF4,sF6)),
inference(superposition,[],[f2436,f2061]) ).
fof(f3175,plain,
addition(sF9,sF6) = addition(multiplication(sF9,sF5),sF6),
inference(forward_demodulation,[],[f3139,f2227]) ).
fof(f3252,plain,
sF11 = addition(multiplication(sF9,sF5),sF6),
inference(forward_demodulation,[],[f3175,f2066]) ).
fof(f4246,plain,
zero = multiplication(sF5,sF6),
inference(resolution,[],[f44,f2320]) ).
fof(f4250,plain,
sF5 = addition(zero,multiplication(sF9,sK1)),
inference(superposition,[],[f1474,f4246]) ).
fof(f4277,plain,
sF5 = multiplication(sF9,sK1),
inference(forward_demodulation,[],[f4250,f1854]) ).
fof(f4283,plain,
sF5 = multiplication(sF9,sF5),
inference(forward_demodulation,[],[f4277,f2277]) ).
fof(f10072,plain,
sF11 = addition(sF5,sF6),
inference(superposition,[],[f3252,f4283]) ).
fof(f10119,plain,
sF4 = sF11,
inference(forward_demodulation,[],[f10072,f2347]) ).
fof(f10192,plain,
one != sF4,
inference(superposition,[],[f72,f10119]) ).
fof(f10205,plain,
$false,
inference(forward_subsumption_resolution,[],[f10192,f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE011+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 12:56:25 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 6.41/1.84 % (1396811)Detected formulas, will run a generic FOF schedule.
% 6.41/1.84 % (1396816)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=1962519261:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.41/1.84 % (1396820)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2816219739:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.41/1.84 % (1396819)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2215552735:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.41/1.84 % (1396822)dis-21_1_sil=8000:lcm=predicate:random_seed=1842761294: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)
% 6.41/1.84 % (1396818)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=1584858495:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.41/1.84 % (1396817)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=919734130:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.41/1.84 % (1396821)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=599168903:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.41/1.84 % (1396819)Refutation not found, incomplete strategy
% 6.41/1.84 % (1396819)------------------------------
% 6.41/1.84 % (1396819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396819)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396819)Termination reason: Refutation not found, incomplete strategy
% 6.41/1.84 % (1396819)Time elapsed: 0.002 s
% 6.41/1.84 % (1396819)Peak memory usage: 88 MB
% 6.41/1.84 % (1396819)Instructions burned: 1 (million)
% 6.41/1.84 % (1396822)Refutation not found, incomplete strategy
% 6.41/1.84 % (1396822)------------------------------
% 6.41/1.84 % (1396822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396822)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396822)Termination reason: Refutation not found, incomplete strategy
% 6.41/1.84 % (1396822)Time elapsed: 0.002 s
% 6.41/1.84 % (1396822)Peak memory usage: 88 MB
% 6.41/1.84 % (1396822)Instructions burned: 2 (million)
% 6.41/1.84 % (1396820)Instruction limit reached!
% 6.41/1.84 % (1396820)------------------------------
% 6.41/1.84 % (1396820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396820)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396820)Termination reason: Instruction limit
% 6.41/1.84 % (1396820)Termination phase: Saturation
% 6.41/1.84 % (1396820)Time elapsed: 0.068 s
% 6.41/1.84 % (1396820)Peak memory usage: 88 MB
% 6.41/1.84 % (1396820)Instructions burned: 119 (million)
% 6.41/1.84 % (1396821)Instruction limit reached!
% 6.41/1.84 % (1396821)------------------------------
% 6.41/1.84 % (1396821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396821)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396821)Termination reason: Instruction limit
% 6.41/1.84 % (1396821)Termination phase: Saturation
% 6.41/1.84 % (1396821)Time elapsed: 0.080 s
% 6.41/1.84 % (1396821)Peak memory usage: 90 MB
% 6.41/1.84 % (1396821)Instructions burned: 140 (million)
% 6.41/1.84 % (1396830)lrs+10_1_sil=8000:sp=occurrence:random_seed=2764494791:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.41/1.84 % (1396831)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2278914821:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.41/1.84 % (1396822)------------------------------
% 6.41/1.84 % (1396822)------------------------------
% 6.41/1.84 % (1396819)------------------------------
% 6.41/1.84 % (1396819)------------------------------
% 6.41/1.84 % (1396831)Instruction limit reached!
% 6.41/1.84 % (1396831)------------------------------
% 6.41/1.84 % (1396831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396831)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396831)Termination reason: Instruction limit
% 6.41/1.84 % (1396831)Termination phase: Saturation
% 6.41/1.84 % (1396831)Time elapsed: 0.096 s
% 6.41/1.84 % (1396831)Peak memory usage: 90 MB
% 6.41/1.84 % (1396831)Instructions burned: 157 (million)
% 6.41/1.84 % (1396830)Instruction limit reached!
% 6.41/1.84 % (1396830)------------------------------
% 6.41/1.84 % (1396830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396830)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396830)Termination reason: Instruction limit
% 6.41/1.84 % (1396830)Termination phase: Saturation
% 6.41/1.84 % (1396830)Time elapsed: 0.172 s
% 6.41/1.84 % (1396830)Peak memory usage: 91 MB
% 6.41/1.84 % (1396830)Instructions burned: 286 (million)
% 6.41/1.84 % (1396835)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=1275801247:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.41/1.84 % (1396834)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1631235242:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.41/1.84 % (1396836)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3640088651:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.41/1.84 % (1396839)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=602750643:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.41/1.84 % (1396835)Instruction limit reached!
% 6.41/1.84 % (1396835)------------------------------
% 6.41/1.84 % (1396835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396835)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396835)Termination reason: Instruction limit
% 6.41/1.84 % (1396835)Termination phase: Saturation
% 6.41/1.84 % (1396835)Time elapsed: 0.154 s
% 6.41/1.84 % (1396835)Peak memory usage: 92 MB
% 6.41/1.84 % (1396835)Instructions burned: 250 (million)
% 6.41/1.84 % (1396834)Instruction limit reached!
% 6.41/1.84 % (1396834)------------------------------
% 6.41/1.84 % (1396834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396834)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396834)Termination reason: Instruction limit
% 6.41/1.84 % (1396834)Termination phase: Saturation
% 6.41/1.84 % (1396834)Time elapsed: 0.189 s
% 6.41/1.84 % (1396834)Peak memory usage: 91 MB
% 6.41/1.84 % (1396834)Instructions burned: 327 (million)
% 6.41/1.84 % (1396836)Instruction limit reached!
% 6.41/1.84 % (1396836)------------------------------
% 6.41/1.84 % (1396836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396836)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396836)Termination reason: Instruction limit
% 6.41/1.84 % (1396836)Termination phase: Saturation
% 6.41/1.84 % (1396836)Time elapsed: 0.181 s
% 6.41/1.84 % (1396836)Peak memory usage: 90 MB
% 6.41/1.84 % (1396836)Instructions burned: 295 (million)
% 6.41/1.84 % (1396842)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1397535011:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.41/1.84 % (1396816)First to succeed.
% 6.41/1.84 % (1396816)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1396811"
% 6.41/1.84 % (1396843)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3610914590:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.41/1.84 % (1396842)Instruction limit reached!
% 6.41/1.84 % (1396842)------------------------------
% 6.41/1.84 % (1396842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396842)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396842)Termination reason: Instruction limit
% 6.41/1.84 % (1396842)Termination phase: Saturation
% 6.41/1.84 % (1396842)Time elapsed: 0.080 s
% 6.41/1.84 % (1396842)Peak memory usage: 90 MB
% 6.41/1.84 % (1396842)Instructions burned: 114 (million)
% 6.41/1.84 % (1396843)Instruction limit reached!
% 6.41/1.84 % (1396843)------------------------------
% 6.41/1.84 % (1396843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396843)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396843)Termination reason: Instruction limit
% 6.41/1.84 % (1396843)Termination phase: Saturation
% 6.41/1.84 % (1396843)Time elapsed: 0.063 s
% 6.41/1.84 % (1396843)Peak memory usage: 89 MB
% 6.41/1.84 % (1396843)Instructions burned: 127 (million)
% 6.41/1.84 % (1396844)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=294655347:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.41/1.84 % (1396844)Instruction limit reached!
% 6.41/1.84 % (1396844)------------------------------
% 6.41/1.84 % (1396844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.84 % (1396844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.84 % (1396844)CaDiCaL version: 2.1.3
% 6.41/1.84 % (1396844)Termination reason: Instruction limit
% 6.41/1.84 % (1396844)Termination phase: Saturation
% 6.41/1.84 % (1396844)Time elapsed: 0.068 s
% 6.41/1.84 % (1396844)Peak memory usage: 89 MB
% 6.41/1.84 % (1396844)Instructions burned: 116 (million)
% 6.41/1.84 % (1396816)Refutation found. Thanks to Tanya!
% 6.41/1.84 % SZS status Theorem for theBenchmark
% 6.41/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 7.44/1.94 % (1396816)------------------------------
% 7.44/1.94 % (1396816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.94 % (1396816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.94 % (1396816)CaDiCaL version: 2.1.3
% 7.44/1.94 % (1396816)Termination reason: Refutation
% 7.44/1.94 % (1396816)Time elapsed: 0.698 s
% 7.44/1.94 % (1396816)Peak memory usage: 140 MB
% 7.44/1.94 % (1396816)Instructions burned: 2030 (million)
% 7.44/1.94 % (1396816)------------------------------
% 7.44/1.94 % (1396816)------------------------------
% 7.44/1.94 % (1396811)Success in time 0.98 s
% 7.44/1.94 % Vampire exiting
%------------------------------------------------------------------------------