%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE034+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 11:40:09 AM UTC 2026
% Result : Theorem 9.54s 3.40s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 80 ( 35 unt; 2 def)
% Number of atoms : 178 ( 70 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 168 ( 70 ~; 56 |; 33 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 94 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f19,conjecture,
! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X2)
& test(X4)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& leq(multiplication(multiplication(X3,X1),c(X4)),zero) )
=> leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X2)
& test(X4)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& leq(multiplication(multiplication(X3,X1),c(X4)),zero) )
=> leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0,X1,X2,X3,X4] :
( ~ leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero)
& test(X3)
& test(X2)
& test(X4)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& leq(multiplication(multiplication(X3,X1),c(X4)),zero) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
? [X0,X1,X2,X3,X4] :
( ~ leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero)
& test(X3)
& test(X2)
& test(X4)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& leq(multiplication(multiplication(X3,X1),c(X4)),zero) ),
inference(flattening,[],[f21]) ).
fof(f28,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f29,plain,
( ~ leq(multiplication(multiplication(multiplication(sK2,sK0),sK1),c(sK4)),zero)
& test(sK3)
& test(sK2)
& test(sK4)
& leq(multiplication(multiplication(sK2,sK0),c(sK3)),zero)
& leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f22]) ).
fof(f30,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f31,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(f32,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,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f37,plain,
leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero),
inference(cnf_transformation,[],[f29]) ).
fof(f38,plain,
leq(multiplication(multiplication(sK2,sK0),c(sK3)),zero),
inference(cnf_transformation,[],[f29]) ).
fof(f41,plain,
test(sK3),
inference(cnf_transformation,[],[f29]) ).
fof(f42,plain,
~ leq(multiplication(multiplication(multiplication(sK2,sK0),sK1),c(sK4)),zero),
inference(cnf_transformation,[],[f29]) ).
fof(f43,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f46,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f47,plain,
! [X0,X1] :
( zero = multiplication(X1,X0)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f48,plain,
! [X0,X1] :
( zero = multiplication(X0,X1)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f49,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f32]) ).
fof(f50,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f52,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f55,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f56,plain,
! [X0,X1] :
( c(X0) = X1
| ~ complement(X0,X1)
| ~ test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f59,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f63,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f66,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f55]) ).
fof(f68,plain,
leq(multiplication(sK3,multiplication(sK1,c(sK4))),zero),
inference(forward_demodulation,[],[f37,f63]) ).
fof(f69,plain,
leq(multiplication(sK2,multiplication(sK0,c(sK3))),zero),
inference(forward_demodulation,[],[f38,f63]) ).
fof(f70,plain,
~ leq(multiplication(multiplication(sK2,sK0),multiplication(sK1,c(sK4))),zero),
inference(forward_demodulation,[],[f42,f63]) ).
fof(f71,plain,
~ leq(multiplication(sK2,multiplication(sK0,multiplication(sK1,c(sK4)))),zero),
inference(forward_demodulation,[],[f70,f63]) ).
fof(f77,plain,
! [X0] :
( leq(X0,zero)
| zero != X0 ),
inference(superposition,[],[f44,f52]) ).
fof(f78,plain,
! [X0] :
( ~ leq(X0,zero)
| zero = X0 ),
inference(superposition,[],[f43,f52]) ).
fof(f124,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X0,X1) ),
inference(superposition,[],[f46,f66]) ).
fof(f127,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f52,f66]) ).
fof(f413,plain,
! [X0,X1] :
( zero != zero
| zero != multiplication(X1,X0)
| complement(X0,X1)
| addition(X1,X0) != one
| ~ complement(X1,X0) ),
inference(superposition,[],[f49,f48]) ).
fof(f417,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| complement(X0,X1)
| addition(X1,X0) != one
| ~ complement(X1,X0) ),
inference(trivial_inequality_removal,[],[f413]) ).
fof(f420,plain,
! [X0,X1] :
( complement(X0,X1)
| addition(X1,X0) != one
| ~ complement(X1,X0) ),
inference(forward_subsumption_resolution,[],[f417,f47]) ).
fof(f421,plain,
! [X0,X1] :
( complement(X0,X1)
| ~ complement(X1,X0) ),
inference(forward_subsumption_resolution,[],[f420,f124]) ).
fof(f446,plain,
zero = multiplication(sK2,multiplication(sK0,c(sK3))),
inference(resolution,[],[f78,f69]) ).
fof(f447,plain,
zero = multiplication(sK3,multiplication(sK1,c(sK4))),
inference(resolution,[],[f78,f68]) ).
fof(f458,plain,
! [X0] : multiplication(addition(sK3,X0),multiplication(sK1,c(sK4))) = addition(zero,multiplication(X0,multiplication(sK1,c(sK4)))),
inference(superposition,[],[f59,f447]) ).
fof(f466,plain,
! [X0] : multiplication(X0,multiplication(sK1,c(sK4))) = multiplication(addition(sK3,X0),multiplication(sK1,c(sK4))),
inference(forward_demodulation,[],[f458,f127]) ).
fof(f525,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK2,multiplication(multiplication(sK0,c(sK3)),X0)),
inference(superposition,[],[f63,f446]) ).
fof(f527,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK2,multiplication(sK0,multiplication(c(sK3),X0))),
inference(forward_demodulation,[],[f525,f63]) ).
fof(f533,plain,
! [X0] : zero = multiplication(sK2,multiplication(sK0,multiplication(c(sK3),X0))),
inference(forward_demodulation,[],[f527,f50]) ).
fof(f652,plain,
! [X0] :
( multiplication(X0,multiplication(sK1,c(sK4))) = multiplication(one,multiplication(sK1,c(sK4)))
| ~ complement(X0,sK3) ),
inference(superposition,[],[f466,f46]) ).
fof(f673,plain,
! [X0] :
( multiplication(sK1,c(sK4)) = multiplication(X0,multiplication(sK1,c(sK4)))
| ~ complement(X0,sK3) ),
inference(forward_demodulation,[],[f652,f61]) ).
fof(f828,plain,
! [X0,X1] :
( zero = multiplication(sK2,multiplication(sK0,multiplication(X0,X1)))
| ~ complement(sK3,X0)
| ~ test(sK3) ),
inference(superposition,[],[f533,f56]) ).
fof(f851,plain,
! [X0,X1] :
( zero = multiplication(sK2,multiplication(sK0,multiplication(X0,X1)))
| ~ complement(sK3,X0) ),
inference(forward_subsumption_resolution,[],[f828,f41]) ).
fof(f1423,definition,
( spl6_24
<=> zero = multiplication(sK2,multiplication(sK0,multiplication(sK1,c(sK4)))) ),
introduced(definition,[new_symbols(definition,[spl6_24])],[avatar_definition]) ).
fof(f1425,plain,
( zero = multiplication(sK2,multiplication(sK0,multiplication(sK1,c(sK4))))
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f2068,plain,
! [X0] :
( zero = multiplication(sK2,multiplication(sK0,multiplication(sK1,c(sK4))))
| ~ complement(sK3,X0)
| ~ complement(X0,sK3) ),
inference(superposition,[],[f851,f673]) ).
fof(f2151,plain,
! [X0] :
( zero = multiplication(sK2,multiplication(sK0,multiplication(sK1,c(sK4))))
| ~ complement(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f2068,f421]) ).
fof(f2169,definition,
( spl6_59
<=> ! [X0] : ~ complement(X0,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_59])],[avatar_definition]) ).
fof(f2170,plain,
( ! [X0] : ~ complement(X0,sK3)
| ~ spl6_59 ),
inference(avatar_component_clause,[],[f2169]) ).
fof(f2171,plain,
( spl6_59
| spl6_24 ),
inference(avatar_split_clause,[],[f2151,f1423,f2169]) ).
fof(f5248,plain,
( ! [X0] : ~ complement(sK3,X0)
| ~ spl6_59 ),
inference(resolution,[],[f2170,f421]) ).
fof(f5249,plain,
( ~ test(sK3)
| ~ spl6_59 ),
inference(resolution,[],[f5248,f67]) ).
fof(f5252,plain,
( $false
| ~ spl6_59 ),
inference(forward_subsumption_resolution,[],[f5249,f41]) ).
fof(f5253,plain,
~ spl6_59,
inference(avatar_contradiction_clause,[],[f5252]) ).
fof(f5254,plain,
zero != multiplication(sK2,multiplication(sK0,multiplication(sK1,c(sK4)))),
inference(resolution,[],[f77,f71]) ).
fof(f5258,plain,
( $false
| ~ spl6_24 ),
inference(forward_subsumption_resolution,[],[f5254,f1425]) ).
fof(f5259,plain,
~ spl6_24,
inference(avatar_contradiction_clause,[],[f5258]) ).
cnf(s59,plain,
( spl6_24
| spl6_59 ),
inference(sat_conversion,[],[f2171]) ).
cnf(s88,plain,
~ spl6_59,
inference(sat_conversion,[],[f5253]) ).
cnf(s89,plain,
~ spl6_24,
inference(sat_conversion,[],[f5259]) ).
cnf(s93,plain,
$false,
inference(rat,[],[s59,s88,s89]) ).
fof(f5261,plain,
$false,
inference(avatar_sat_refutation,[],[s93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE034+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 13:06:09 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.55/2.63 % (2336784)Detected formulas, will run a generic FOF schedule.
% 12.55/2.63 % (2336791)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=3811606102:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.55/2.63 % (2336795)dis-21_1_sil=8000:lcm=predicate:random_seed=2507435244: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)
% 12.55/2.63 % (2336790)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=1357464979:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.55/2.63 % (2336789)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=4279722539:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.55/2.63 % (2336792)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=345976400:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.55/2.63 % (2336794)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1760253954:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.55/2.63 % (2336793)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2595196108:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.55/2.63 % (2336795)Refutation not found, incomplete strategy
% 12.55/2.63 % (2336795)------------------------------
% 12.55/2.63 % (2336795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/2.63 % (2336795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/2.63 % (2336795)CaDiCaL version: 2.1.3
% 12.55/2.63 % (2336795)Termination reason: Refutation not found, incomplete strategy
% 12.55/2.63 % (2336795)Time elapsed: 0.003 s
% 12.55/2.63 % (2336795)Peak memory usage: 88 MB
% 12.55/2.63 % (2336795)Instructions burned: 2 (million)
% 12.55/2.63 % (2336792)Instruction limit reached!
% 12.55/2.63 % (2336792)------------------------------
% 12.55/2.63 % (2336792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/2.63 % (2336792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/2.63 % (2336792)CaDiCaL version: 2.1.3
% 12.55/2.63 % (2336792)Termination reason: Instruction limit
% 12.55/2.63 % (2336792)Termination phase: Saturation
% 12.55/2.63 % (2336792)Time elapsed: 0.062 s
% 12.55/2.63 % (2336792)Peak memory usage: 89 MB
% 12.55/2.63 % (2336792)Instructions burned: 110 (million)
% 12.55/2.63 % (2336793)Instruction limit reached!
% 12.55/2.63 % (2336793)------------------------------
% 12.55/2.63 % (2336793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/2.63 % (2336793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/2.63 % (2336793)CaDiCaL version: 2.1.3
% 12.55/2.63 % (2336793)Termination reason: Instruction limit
% 12.55/2.63 % (2336793)Termination phase: Saturation
% 12.55/2.63 % (2336793)Time elapsed: 0.068 s
% 12.55/2.63 % (2336793)Peak memory usage: 88 MB
% 12.55/2.63 % (2336793)Instructions burned: 119 (million)
% 12.55/2.63 % (2336794)Instruction limit reached!
% 12.55/2.63 % (2336794)------------------------------
% 12.55/2.63 % (2336794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/2.63 % (2336794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/2.63 % (2336794)CaDiCaL version: 2.1.3
% 12.55/2.63 % (2336794)Termination reason: Instruction limit
% 12.55/2.63 % (2336794)Termination phase: Saturation
% 12.55/2.63 % (2336794)Time elapsed: 0.083 s
% 12.55/2.63 % (2336794)Peak memory usage: 90 MB
% 12.55/2.63 % (2336794)Instructions burned: 139 (million)
% 12.55/2.63 % (2336803)lrs+10_1_sil=8000:sp=occurrence:random_seed=1825721430:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.55/2.63 % (2336804)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1518348775:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.55/2.63 % (2336805)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2229218417:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.55/2.63 % (2336795)------------------------------
% 12.55/2.63 % (2336795)------------------------------
% 12.55/2.63 % (2336804)Instruction limit reached!
% 12.55/2.63 % (2336804)------------------------------
% 12.55/2.63 % (2336804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.31 % (2336804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.31 % (2336804)CaDiCaL version: 2.1.3
% 17.32/3.31 % (2336804)Termination reason: Instruction limit
% 17.32/3.31 % (2336804)Termination phase: Saturation
% 17.32/3.31 % (2336804)Time elapsed: 0.090 s
% 17.32/3.31 % (2336804)Peak memory usage: 91 MB
% 17.32/3.31 % (2336804)Instructions burned: 158 (million)
% 17.32/3.31 % (2336803)Instruction limit reached!
% 17.32/3.31 % (2336803)------------------------------
% 17.32/3.31 % (2336803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.31 % (2336803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.31 % (2336803)CaDiCaL version: 2.1.3
% 17.32/3.31 % (2336803)Termination reason: Instruction limit
% 17.32/3.31 % (2336803)Termination phase: Saturation
% 17.32/3.31 % (2336803)Time elapsed: 0.179 s
% 17.32/3.31 % (2336803)Peak memory usage: 92 MB
% 17.32/3.31 % (2336803)Instructions burned: 285 (million)
% 17.32/3.31 % (2336809)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=2269285330:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 17.32/3.31 % (2336810)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3160561923:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 17.32/3.31 % (2336805)Instruction limit reached!
% 17.32/3.31 % (2336805)------------------------------
% 17.32/3.31 % (2336805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.31 % (2336805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.31 % (2336805)CaDiCaL version: 2.1.3
% 17.32/3.31 % (2336805)Termination reason: Instruction limit
% 17.32/3.31 % (2336805)Termination phase: Saturation
% 17.32/3.31 % (2336805)Time elapsed: 0.200 s
% 17.32/3.31 % (2336805)Peak memory usage: 93 MB
% 17.32/3.31 % (2336805)Instructions burned: 326 (million)
% 17.32/3.31 % (2336810)Instruction limit reached!
% 17.32/3.31 % (2336810)------------------------------
% 17.32/3.31 % (2336810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.31 % (2336810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.31 % (2336810)CaDiCaL version: 2.1.3
% 17.32/3.31 % (2336810)Termination reason: Instruction limit
% 17.32/3.31 % (2336810)Termination phase: Saturation
% 17.32/3.31 % (2336810)Time elapsed: 0.088 s
% 17.32/3.31 % (2336810)Peak memory usage: 89 MB
% 17.32/3.31 % (2336810)Instructions burned: 298 (million)
% 17.32/3.31 % (2336811)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3872479370:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 17.32/3.31 % (2336809)Instruction limit reached!
% 17.32/3.31 % (2336809)------------------------------
% 17.32/3.31 % (2336809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.31 % (2336809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.31 % (2336809)CaDiCaL version: 2.1.3
% 17.32/3.31 % (2336809)Termination reason: Instruction limit
% 17.32/3.31 % (2336809)Termination phase: Saturation
% 17.32/3.31 % (2336809)Time elapsed: 0.160 s
% 17.32/3.31 % (2336809)Peak memory usage: 92 MB
% 17.32/3.31 % (2336809)Instructions burned: 249 (million)
% 17.32/3.31 % (2336814)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3904293166:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 17.32/3.31 % (2336815)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1531324028:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 17.32/3.31 % (2336815)Instruction limit reached!
% 17.32/3.31 % (2336815)------------------------------
% 17.32/3.31 % (2336815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.31 % (2336815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.31 % (2336815)CaDiCaL version: 2.1.3
% 17.32/3.31 % (2336815)Termination reason: Instruction limit
% 17.32/3.31 % (2336815)Termination phase: Saturation
% 17.32/3.31 % (2336815)Time elapsed: 0.032 s
% 17.32/3.31 % (2336815)Peak memory usage: 89 MB
% 17.32/3.31 % (2336815)Instructions burned: 131 (million)
% 17.32/3.31 % (2336814)Instruction limit reached!
% 17.32/3.31 % (2336814)------------------------------
% 17.32/3.31 % (2336814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.31 % (2336814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.31 % (2336814)CaDiCaL version: 2.1.3
% 9.54/3.40 % (2336814)Termination reason: Instruction limit
% 9.54/3.40 % (2336814)Termination phase: Saturation
% 9.54/3.40 % (2336814)Time elapsed: 0.076 s
% 9.54/3.40 % (2336814)Peak memory usage: 90 MB
% 9.54/3.40 % (2336814)Instructions burned: 113 (million)
% 9.54/3.40 % (2336817)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1847493745:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.54/3.40 % (2336820)lrs+10_1_sil=8000:sp=occurrence:random_seed=2144928966:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.54/3.40 % (2336817)Instruction limit reached!
% 9.54/3.40 % (2336817)------------------------------
% 9.54/3.40 % (2336817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.40 % (2336817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.40 % (2336817)CaDiCaL version: 2.1.3
% 9.54/3.40 % (2336817)Termination reason: Instruction limit
% 9.54/3.40 % (2336817)Termination phase: Saturation
% 9.54/3.40 % (2336817)Time elapsed: 0.065 s
% 9.54/3.40 % (2336817)Peak memory usage: 89 MB
% 9.54/3.40 % (2336817)Instructions burned: 115 (million)
% 9.54/3.40 % (2336821)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2045464170:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.54/3.40 % (2336821)Refutation not found, incomplete strategy
% 9.54/3.40 % (2336821)------------------------------
% 9.54/3.40 % (2336821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.40 % (2336821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.40 % (2336821)CaDiCaL version: 2.1.3
% 9.54/3.40 % (2336821)Termination reason: Refutation not found, incomplete strategy
% 9.54/3.40 % (2336821)Time elapsed: 0.002 s
% 9.54/3.40 % (2336821)Peak memory usage: 88 MB
% 9.54/3.40 % (2336821)Instructions burned: 1 (million)
% 9.54/3.40 % (2336824)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=38381335:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.54/3.40 % (2336820)Instruction limit reached!
% 9.54/3.40 % (2336820)------------------------------
% 9.54/3.40 % (2336820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.40 % (2336820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.40 % (2336820)CaDiCaL version: 2.1.3
% 9.54/3.40 % (2336820)Termination reason: Instruction limit
% 9.54/3.40 % (2336820)Termination phase: Saturation
% 9.54/3.40 % (2336820)Time elapsed: 0.289 s
% 9.54/3.40 % (2336820)Peak memory usage: 96 MB
% 9.54/3.40 % (2336820)Instructions burned: 908 (million)
% 9.54/3.40 % (2336821)------------------------------
% 9.54/3.40 % (2336821)------------------------------
% 9.54/3.40 % (2336827)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3483811606:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 9.54/3.40 % (2336828)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=388853906:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 9.54/3.40 % (2336828)Refutation not found, incomplete strategy
% 9.54/3.40 % (2336828)------------------------------
% 9.54/3.40 % (2336828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.40 % (2336828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.40 % (2336828)CaDiCaL version: 2.1.3
% 9.54/3.40 % (2336828)Termination reason: Refutation not found, incomplete strategy
% 9.54/3.40 % (2336828)Time elapsed: 0.002 s
% 9.54/3.40 % (2336828)Peak memory usage: 88 MB
% 9.54/3.40 % (2336828)Instructions burned: 1 (million)
% 9.54/3.40 % (2336827)Refutation not found, incomplete strategy
% 9.54/3.40 % (2336827)------------------------------
% 9.54/3.40 % (2336827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.40 % (2336827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.40 % (2336827)CaDiCaL version: 2.1.3
% 9.54/3.40 % (2336827)Termination reason: Refutation not found, incomplete strategy
% 9.54/3.40 % (2336827)Time elapsed: 0.004 s
% 9.54/3.40 % (2336827)Peak memory usage: 88 MB
% 9.54/3.40 % (2336827)Instructions burned: 5 (million)
% 9.54/3.40 % (2336827)------------------------------
% 9.54/3.40 % (2336827)------------------------------
% 9.54/3.40 % (2336828)------------------------------
% 9.54/3.40 % (2336828)------------------------------
% 9.54/3.40 % (2336831)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2197312678:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 9.54/3.40 % (2336811)Instruction limit reached!
% 9.54/3.40 % (2336811)------------------------------
% 9.54/3.40 % (2336811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.40 % (2336811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.40 % (2336811)CaDiCaL version: 2.1.3
% 9.54/3.40 % (2336811)Termination reason: Instruction limit
% 9.54/3.40 % (2336811)Termination phase: Saturation
% 9.54/3.40 % (2336811)Time elapsed: 1.074 s
% 9.54/3.40 % (2336811)Peak memory usage: 143 MB
% 9.54/3.40 % (2336811)Instructions burned: 2351 (million)
% 9.54/3.40 % (2336832)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=2305915492:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 9.54/3.40 % (2336832)Instruction limit reached!
% 9.54/3.40 % (2336832)------------------------------
% 9.54/3.40 % (2336832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.40 % (2336832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.40 % (2336832)CaDiCaL version: 2.1.3
% 9.54/3.40 % (2336832)Termination reason: Instruction limit
% 9.54/3.40 % (2336832)Termination phase: Saturation
% 9.54/3.40 % (2336832)Time elapsed: 0.075 s
% 9.54/3.40 % (2336832)Peak memory usage: 91 MB
% 9.54/3.40 % (2336832)Instructions burned: 126 (million)
% 9.54/3.40 % (2336834)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3712386508:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 9.54/3.40 % (2336834)Instruction limit reached!
% 9.54/3.40 % (2336834)------------------------------
% 9.54/3.40 % (2336834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.40 % (2336834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.40 % (2336834)CaDiCaL version: 2.1.3
% 9.54/3.40 % (2336834)Termination reason: Instruction limit
% 9.54/3.40 % (2336834)Termination phase: Saturation
% 9.54/3.40 % (2336834)Time elapsed: 0.041 s
% 9.54/3.40 % (2336834)Peak memory usage: 89 MB
% 9.54/3.40 % (2336834)Instructions burned: 136 (million)
% 9.54/3.40 % (2336836)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1196405209:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 9.54/3.40 % (2336836)Refutation not found, incomplete strategy
% 9.54/3.40 % (2336836)------------------------------
% 9.54/3.40 % (2336836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.40 % (2336836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.40 % (2336836)CaDiCaL version: 2.1.3
% 9.54/3.40 % (2336836)Termination reason: Refutation not found, incomplete strategy
% 9.54/3.40 % (2336836)Time elapsed: 0.002 s
% 9.54/3.40 % (2336836)Peak memory usage: 88 MB
% 9.54/3.40 % (2336836)Instructions burned: 2 (million)
% 9.54/3.40 % (2336838)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=660635221:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 9.54/3.40 % (2336838)Refutation not found, incomplete strategy
% 9.54/3.40 % (2336838)------------------------------
% 9.54/3.40 % (2336838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/3.40 % (2336838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/3.40 % (2336838)CaDiCaL version: 2.1.3
% 9.54/3.40 % (2336838)Termination reason: Refutation not found, incomplete strategy
% 9.54/3.40 % (2336838)Time elapsed: 0.001 s
% 9.54/3.40 % (2336838)Peak memory usage: 88 MB
% 9.54/3.40 % (2336838)Instructions burned: 1 (million)
% 9.54/3.40 % (2336838)------------------------------
% 9.54/3.40 % (2336838)------------------------------
% 9.54/3.40 % (2336836)------------------------------
% 9.54/3.40 % (2336836)------------------------------
% 9.54/3.40 % (2336824)First to succeed.
% 9.54/3.40 % (2336824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2336784"
% 9.54/3.40 % (2336789)Also succeeded, but the first one will report.
% 9.54/3.40 % (2336841)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=4015600603:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 9.54/3.40 % (2336842)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=411227761:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2977 on theBenchmark for (2977ds/150Mi)
% 9.54/3.40 % (2336824)Refutation found. Thanks to Tanya!
% 9.54/3.40 % SZS status Theorem for theBenchmark
% 9.54/3.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.60 % (2336824)------------------------------
% 0.16/3.60 % (2336824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.60 % (2336824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.60 % (2336824)CaDiCaL version: 2.1.3
% 0.16/3.60 % (2336824)Termination reason: Refutation
% 0.16/3.60 % (2336824)Time elapsed: 1.152 s
% 0.16/3.60 % (2336824)Peak memory usage: 138 MB
% 0.16/3.60 % (2336824)Instructions burned: 1775 (million)
% 0.16/3.60 % (2336824)------------------------------
% 0.16/3.60 % (2336824)------------------------------
% 0.16/3.60 % (2336784)Success in time 2.546 s
% 0.16/3.60 % Vampire exiting
%------------------------------------------------------------------------------