%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE010+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 : n015.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 11:40:01 AM UTC 2026
% Result : Theorem 2.45s 1.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 76 ( 60 unt; 0 def)
% Number of atoms : 117 ( 85 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 85 ( 44 ~; 18 |; 17 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 103 ( 99 !; 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(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(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(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(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1] :
( one != addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
? [X0,X1] :
( one != addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(flattening,[],[f19]) ).
fof(f22,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f23,plain,
( one != addition(addition(addition(addition(multiplication(sK1,sK0),multiplication(c(sK1),sK0)),multiplication(sK0,sK1)),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1)))
& test(sK1)
& test(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f24,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f22]) ).
fof(f28,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(f29,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,[],[f28]) ).
fof(f30,plain,
test(sK0),
inference(cnf_transformation,[],[f23]) ).
fof(f31,plain,
test(sK1),
inference(cnf_transformation,[],[f23]) ).
fof(f32,plain,
one != addition(addition(addition(addition(multiplication(sK1,sK0),multiplication(c(sK1),sK0)),multiplication(sK0,sK1)),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))),
inference(cnf_transformation,[],[f23]) ).
fof(f33,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f37,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f44,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f49,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f53,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f39]) ).
fof(f54,plain,
one != addition(multiplication(c(sK0),c(sK1)),addition(addition(addition(multiplication(sK1,sK0),multiplication(c(sK1),sK0)),multiplication(sK0,sK1)),multiplication(c(sK0),sK1))),
inference(forward_demodulation,[],[f32,f37]) ).
fof(f55,plain,
one != addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),addition(addition(multiplication(sK1,sK0),multiplication(c(sK1),sK0)),multiplication(sK0,sK1)))),
inference(forward_demodulation,[],[f54,f37]) ).
fof(f56,plain,
one != addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),addition(multiplication(sK0,sK1),addition(multiplication(sK1,sK0),multiplication(c(sK1),sK0))))),
inference(forward_demodulation,[],[f55,f37]) ).
fof(f57,plain,
one != addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),addition(multiplication(sK0,sK1),multiplication(addition(sK1,c(sK1)),sK0)))),
inference(forward_demodulation,[],[f56,f33]) ).
fof(f65,plain,
! [X0] :
( one = addition(c(X0),X0)
| ~ test(X0) ),
inference(resolution,[],[f44,f53]) ).
fof(f66,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f65,f37]) ).
fof(f82,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f36,f35]) ).
fof(f85,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f36,f37]) ).
fof(f95,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f37,f36]) ).
fof(f129,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X2),addition(multiplication(X1,X2),X3)) = addition(multiplication(addition(X0,X1),X2),X3),
inference(superposition,[],[f36,f33]) ).
fof(f131,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(superposition,[],[f37,f33]) ).
fof(f150,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f34,f49]) ).
fof(f166,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f36,f34]) ).
fof(f168,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
inference(superposition,[],[f37,f34]) ).
fof(f230,plain,
one = addition(sK0,c(sK0)),
inference(resolution,[],[f66,f30]) ).
fof(f231,plain,
one = addition(sK1,c(sK1)),
inference(resolution,[],[f66,f31]) ).
fof(f312,plain,
one = addition(sK1,one),
inference(superposition,[],[f82,f231]) ).
fof(f327,plain,
one = addition(one,sK1),
inference(forward_demodulation,[],[f312,f37]) ).
fof(f371,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f36,f85]) ).
fof(f954,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,sK1)),
inference(superposition,[],[f150,f327]) ).
fof(f1025,plain,
! [X0] : addition(X0,multiplication(X0,sK1)) = X0,
inference(forward_demodulation,[],[f954,f49]) ).
fof(f1374,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)),
inference(superposition,[],[f34,f168]) ).
fof(f1737,plain,
! [X2,X3,X0,X1,X4] : addition(multiplication(addition(X4,X1),X2),addition(X3,X0)) = addition(multiplication(X4,X2),addition(X0,addition(multiplication(X1,X2),X3))),
inference(superposition,[],[f129,f95]) ).
fof(f1928,plain,
! [X2,X3,X0,X1] : addition(multiplication(X1,addition(X3,X2)),multiplication(X0,X2)) = addition(multiplication(X1,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f166,f131]) ).
fof(f3378,plain,
! [X0,X1] : addition(X0,X1) = addition(multiplication(X0,sK1),addition(X0,X1)),
inference(superposition,[],[f85,f1025]) ).
fof(f3414,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,multiplication(X0,sK1))),
inference(forward_demodulation,[],[f3378,f95]) ).
fof(f4493,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(X2,X1)),
inference(superposition,[],[f95,f371]) ).
fof(f4515,plain,
one != addition(multiplication(c(sK0),c(sK1)),addition(multiplication(sK0,sK1),addition(multiplication(c(sK0),sK1),multiplication(addition(sK1,c(sK1)),sK0)))),
inference(superposition,[],[f57,f371]) ).
fof(f4524,plain,
one != addition(multiplication(sK0,sK1),addition(addition(multiplication(c(sK0),sK1),multiplication(addition(sK1,c(sK1)),sK0)),multiplication(c(sK0),c(sK1)))),
inference(forward_demodulation,[],[f4515,f95]) ).
fof(f4592,plain,
one != addition(multiplication(sK0,sK1),addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),multiplication(addition(sK1,c(sK1)),sK0)))),
inference(forward_demodulation,[],[f4524,f4493]) ).
fof(f4610,plain,
one != addition(multiplication(addition(sK0,c(sK0)),sK1),addition(multiplication(addition(sK1,c(sK1)),sK0),multiplication(c(sK0),c(sK1)))),
inference(forward_demodulation,[],[f4592,f1737]) ).
fof(f4624,plain,
one != addition(multiplication(c(sK0),c(sK1)),addition(multiplication(addition(sK0,c(sK0)),sK1),multiplication(addition(sK1,c(sK1)),sK0))),
inference(forward_demodulation,[],[f4610,f95]) ).
fof(f4634,plain,
one != addition(multiplication(c(sK0),c(sK1)),addition(multiplication(addition(sK0,c(sK0)),sK1),multiplication(one,sK0))),
inference(forward_demodulation,[],[f4624,f231]) ).
fof(f4642,plain,
one != addition(multiplication(one,sK0),addition(multiplication(c(sK0),c(sK1)),multiplication(addition(sK0,c(sK0)),sK1))),
inference(forward_demodulation,[],[f4634,f95]) ).
fof(f4646,plain,
one != addition(multiplication(one,sK0),addition(multiplication(c(sK0),addition(c(sK1),sK1)),multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f4642,f1928]) ).
fof(f4650,plain,
one != addition(multiplication(one,sK0),addition(multiplication(sK0,sK1),multiplication(c(sK0),addition(c(sK1),sK1)))),
inference(forward_demodulation,[],[f4646,f4493]) ).
fof(f4654,plain,
one != addition(multiplication(one,sK0),addition(multiplication(sK0,sK1),multiplication(c(sK0),addition(sK1,c(sK1))))),
inference(forward_demodulation,[],[f4650,f1374]) ).
fof(f4658,plain,
one != addition(multiplication(one,sK0),addition(multiplication(sK0,sK1),multiplication(c(sK0),one))),
inference(forward_demodulation,[],[f4654,f231]) ).
fof(f4662,plain,
one != addition(multiplication(one,sK0),addition(multiplication(sK0,sK1),c(sK0))),
inference(forward_demodulation,[],[f4658,f49]) ).
fof(f4666,plain,
one != addition(c(sK0),addition(multiplication(one,sK0),multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f4662,f95]) ).
fof(f4670,plain,
one != addition(c(sK0),addition(sK0,multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f4666,f48]) ).
fof(f4674,plain,
one != addition(sK0,addition(multiplication(sK0,sK1),c(sK0))),
inference(forward_demodulation,[],[f4670,f95]) ).
fof(f4678,plain,
one != addition(sK0,addition(c(sK0),multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f4674,f4493]) ).
fof(f4682,plain,
one != addition(sK0,c(sK0)),
inference(forward_demodulation,[],[f4678,f3414]) ).
fof(f4686,plain,
$false,
inference(forward_subsumption_resolution,[],[f4682,f230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE010+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n015.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:01:30 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 2.45/1.40 % (1648033)Detected formulas, will run a generic FOF schedule.
% 2.45/1.40 % (1648042)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=839438461:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.45/1.40 % (1648043)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2842174676:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.45/1.40 % (1648041)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=207439541:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.45/1.40 % (1648044)dis-21_1_sil=8000:lcm=predicate:random_seed=1546642027: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)
% 2.45/1.40 % (1648040)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=156013929:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.45/1.40 % (1648038)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=2806446535:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.45/1.40 % (1648039)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=1508009168:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.45/1.40 % (1648041)Refutation not found, incomplete strategy
% 2.45/1.40 % (1648041)------------------------------
% 2.45/1.40 % (1648041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.40 % (1648041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.40 % (1648041)CaDiCaL version: 2.1.3
% 2.45/1.40 % (1648041)Termination reason: Refutation not found, incomplete strategy
% 2.45/1.40 % (1648041)Time elapsed: 0.002 s
% 2.45/1.40 % (1648041)Peak memory usage: 88 MB
% 2.45/1.40 % (1648041)Instructions burned: 1 (million)
% 2.45/1.40 % (1648044)Refutation not found, incomplete strategy
% 2.45/1.40 % (1648044)------------------------------
% 2.45/1.40 % (1648044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.40 % (1648044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.40 % (1648044)CaDiCaL version: 2.1.3
% 2.45/1.40 % (1648044)Termination reason: Refutation not found, incomplete strategy
% 2.45/1.40 % (1648044)Time elapsed: 0.002 s
% 2.45/1.40 % (1648044)Peak memory usage: 88 MB
% 2.45/1.40 % (1648044)Instructions burned: 2 (million)
% 2.45/1.40 % (1648042)Instruction limit reached!
% 2.45/1.40 % (1648042)------------------------------
% 2.45/1.40 % (1648042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.40 % (1648042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.40 % (1648042)CaDiCaL version: 2.1.3
% 2.45/1.40 % (1648042)Termination reason: Instruction limit
% 2.45/1.40 % (1648042)Termination phase: Saturation
% 2.45/1.40 % (1648042)Time elapsed: 0.036 s
% 2.45/1.40 % (1648042)Peak memory usage: 89 MB
% 2.45/1.40 % (1648042)Instructions burned: 122 (million)
% 2.45/1.40 % (1648043)Instruction limit reached!
% 2.45/1.40 % (1648043)------------------------------
% 2.45/1.40 % (1648043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.40 % (1648043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.40 % (1648043)CaDiCaL version: 2.1.3
% 2.45/1.40 % (1648043)Termination reason: Instruction limit
% 2.45/1.40 % (1648043)Termination phase: Saturation
% 2.45/1.40 % (1648043)Time elapsed: 0.080 s
% 2.45/1.40 % (1648043)Peak memory usage: 90 MB
% 2.45/1.40 % (1648043)Instructions burned: 139 (million)
% 2.45/1.40 % (1648052)lrs+10_1_sil=8000:sp=occurrence:random_seed=3089535644:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.45/1.40 % (1648052)First to succeed.
% 2.45/1.40 % (1648052)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1648033"
% 2.45/1.40 % (1648044)------------------------------
% 2.45/1.40 % (1648044)------------------------------
% 2.45/1.40 % (1648053)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2436632036:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.45/1.40 % (1648041)------------------------------
% 2.45/1.40 % (1648041)------------------------------
% 2.45/1.40 % (1648053)Instruction limit reached!
% 2.45/1.40 % (1648053)------------------------------
% 2.45/1.40 % (1648053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.40 % (1648053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.40 % (1648053)CaDiCaL version: 2.1.3
% 2.45/1.40 % (1648053)Termination reason: Instruction limit
% 2.45/1.40 % (1648053)Termination phase: Saturation
% 2.45/1.40 % (1648053)Time elapsed: 0.097 s
% 2.45/1.40 % (1648053)Peak memory usage: 90 MB
% 2.45/1.40 % (1648053)Instructions burned: 157 (million)
% 2.45/1.40 % (1648052)Refutation found. Thanks to Tanya!
% 2.45/1.40 % SZS status Theorem for theBenchmark
% 2.45/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.60 % (1648052)------------------------------
% 0.18/1.60 % (1648052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.60 % (1648052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.60 % (1648052)CaDiCaL version: 2.1.3
% 0.18/1.60 % (1648052)Termination reason: Refutation
% 0.18/1.60 % (1648052)Time elapsed: 0.051 s
% 0.18/1.60 % (1648052)Peak memory usage: 90 MB
% 0.18/1.60 % (1648052)Instructions burned: 155 (million)
% 0.18/1.60 % (1648052)------------------------------
% 0.18/1.60 % (1648052)------------------------------
% 0.18/1.60 % (1648033)Success in time 0.531 s
% 0.18/1.60 % Vampire exiting
%------------------------------------------------------------------------------