%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE024+1 : 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 : n004.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 11:40:06 AM UTC 2026
% Result : Theorem 8.36s 7.24s
% Output : Refutation 8.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 73 ( 53 unt; 0 def)
% Number of atoms : 123 ( 87 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 78 ( 28 ~; 22 |; 20 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 95 ( 89 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
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(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
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(f17,conjecture,
! [X0,X1,X2] :
( ( test(X1)
& test(X2) )
=> ( addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
=> multiplication(multiplication(X1,X0),c(X2)) = zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X1)
& test(X2) )
=> ( addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
=> multiplication(multiplication(X1,X0),c(X2)) = zero ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( zero != multiplication(multiplication(X1,X0),c(X2))
& addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
& test(X1)
& test(X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
? [X0,X1,X2] :
( zero != multiplication(multiplication(X1,X0),c(X2))
& addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
& test(X1)
& test(X2) ),
inference(flattening,[],[f19]) ).
fof(f22,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f23,plain,
( zero != multiplication(multiplication(sK1,sK0),c(sK2))
& multiplication(c(sK1),sK0) = addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),sK0))
& test(sK1)
& test(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f20]) ).
fof(f24,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(f25,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,[],[f24]) ).
fof(f27,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f22]) ).
fof(f31,plain,
test(sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f32,plain,
test(sK1),
inference(cnf_transformation,[],[f23]) ).
fof(f33,plain,
multiplication(c(sK1),sK0) = addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),sK0)),
inference(cnf_transformation,[],[f23]) ).
fof(f34,plain,
zero != multiplication(multiplication(sK1,sK0),c(sK2)),
inference(cnf_transformation,[],[f23]) ).
fof(f35,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f25]) ).
fof(f36,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f37,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f41,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f43,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f44,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f45,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f46,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f48,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f50,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f54,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f55,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f56,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f57,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f58,plain,
zero != multiplication(sK1,multiplication(sK0,c(sK2))),
inference(forward_demodulation,[],[f34,f56]) ).
fof(f59,plain,
! [X0] :
( one = addition(c(X0),X0)
| ~ test(X0) ),
inference(resolution,[],[f35,f57]) ).
fof(f60,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f59,f46]) ).
fof(f61,plain,
one = addition(sK1,c(sK1)),
inference(resolution,[],[f60,f32]) ).
fof(f62,plain,
one = addition(sK2,c(sK2)),
inference(resolution,[],[f60,f31]) ).
fof(f67,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f41,f54]) ).
fof(f96,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f36,f57]) ).
fof(f97,plain,
zero = multiplication(sK1,c(sK1)),
inference(resolution,[],[f96,f32]) ).
fof(f103,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK1,multiplication(c(sK1),X0)),
inference(superposition,[],[f56,f97]) ).
fof(f104,plain,
! [X0] : zero = multiplication(sK1,multiplication(c(sK1),X0)),
inference(forward_demodulation,[],[f103,f48]) ).
fof(f115,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(c(X0),X0) ),
inference(resolution,[],[f37,f57]) ).
fof(f137,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f46,f44]) ).
fof(f181,plain,
zero = multiplication(c(sK2),sK2),
inference(resolution,[],[f115,f31]) ).
fof(f309,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f45,f42]) ).
fof(f310,plain,
! [X0] : addition(one,X0) = addition(sK1,addition(c(sK1),X0)),
inference(superposition,[],[f45,f61]) ).
fof(f353,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,[],[f309,f41]) ).
fof(f466,plain,
! [X0,X1] : addition(multiplication(X0,sK2),multiplication(addition(X0,X1),c(sK2))) = addition(multiplication(X0,one),multiplication(X1,c(sK2))),
inference(superposition,[],[f353,f62]) ).
fof(f576,plain,
! [X0,X1] : addition(multiplication(X0,sK2),multiplication(addition(X0,X1),c(sK2))) = addition(X0,multiplication(X1,c(sK2))),
inference(forward_demodulation,[],[f466,f55]) ).
fof(f1263,plain,
addition(sK1,c(sK1)) = addition(one,c(sK1)),
inference(superposition,[],[f310,f43]) ).
fof(f1285,plain,
one = addition(one,c(sK1)),
inference(forward_demodulation,[],[f1263,f61]) ).
fof(f1332,plain,
addition(multiplication(sK0,c(sK2)),multiplication(multiplication(c(sK1),sK0),c(sK2))) = addition(multiplication(multiplication(sK0,c(sK2)),sK2),multiplication(multiplication(c(sK1),sK0),c(sK2))),
inference(superposition,[],[f576,f33]) ).
fof(f1385,plain,
addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),multiplication(sK0,c(sK2)))) = addition(multiplication(multiplication(sK0,c(sK2)),sK2),multiplication(c(sK1),multiplication(sK0,c(sK2)))),
inference(forward_demodulation,[],[f1332,f56]) ).
fof(f1412,plain,
addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),multiplication(sK0,c(sK2)))) = addition(multiplication(sK0,multiplication(c(sK2),sK2)),multiplication(c(sK1),multiplication(sK0,c(sK2)))),
inference(forward_demodulation,[],[f1385,f56]) ).
fof(f1436,plain,
addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),multiplication(sK0,c(sK2)))) = addition(multiplication(sK0,zero),multiplication(c(sK1),multiplication(sK0,c(sK2)))),
inference(forward_demodulation,[],[f1412,f181]) ).
fof(f1451,plain,
addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),multiplication(sK0,c(sK2)))) = addition(zero,multiplication(c(sK1),multiplication(sK0,c(sK2)))),
inference(forward_demodulation,[],[f1436,f49]) ).
fof(f1459,plain,
multiplication(c(sK1),multiplication(sK0,c(sK2))) = addition(multiplication(sK0,c(sK2)),multiplication(c(sK1),multiplication(sK0,c(sK2)))),
inference(forward_demodulation,[],[f1451,f137]) ).
fof(f1462,plain,
multiplication(c(sK1),multiplication(sK0,c(sK2))) = multiplication(addition(one,c(sK1)),multiplication(sK0,c(sK2))),
inference(forward_demodulation,[],[f1459,f67]) ).
fof(f1465,plain,
multiplication(c(sK1),multiplication(sK0,c(sK2))) = multiplication(one,multiplication(sK0,c(sK2))),
inference(forward_demodulation,[],[f1462,f1285]) ).
fof(f1466,plain,
multiplication(sK0,c(sK2)) = multiplication(c(sK1),multiplication(sK0,c(sK2))),
inference(forward_demodulation,[],[f1465,f54]) ).
fof(f1467,plain,
zero = multiplication(sK1,multiplication(sK0,c(sK2))),
inference(superposition,[],[f104,f1466]) ).
fof(f1486,plain,
$false,
inference(forward_subsumption_resolution,[],[f1467,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE024+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.60 % Computer : n004.cluster.edu
% 0.11/5.60 % Model : x86_64 x86_64
% 0.11/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.60 % Memory : 8046.5625MB
% 0.11/5.60 % OS : Linux 6.8.0-71-generic
% 0.11/5.60 % CPULimit : 300
% 0.11/5.60 % WCLimit : 300
% 0.11/5.60 % DateTime : Sun Sep 27 12:59:59 UTC 2026
% 0.11/5.60 % CPUTime :
% 0.11/5.60 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.63 Running first-order theorem proving
% 0.11/5.63 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
% 8.36/7.24 % (3499521)Detected formulas, will run a generic FOF schedule.
% 8.36/7.24 % (3499528)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=4157710149:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.36/7.24 % (3499532)dis-21_1_sil=8000:lcm=predicate:random_seed=3388580376: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)
% 8.36/7.24 % (3499532)Refutation not found, incomplete strategy
% 8.36/7.24 % (3499532)------------------------------
% 8.36/7.24 % (3499532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499532)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499532)Termination reason: Refutation not found, incomplete strategy
% 8.36/7.24 % (3499532)Time elapsed: 0.002 s
% 8.36/7.24 % (3499532)Peak memory usage: 88 MB
% 8.36/7.24 % (3499532)Instructions burned: 2 (million)
% 8.36/7.24 % (3499530)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2956705085:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.36/7.24 % (3499529)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=9317372:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.36/7.24 % (3499531)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2995439963:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.36/7.24 % (3499527)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=3133512667:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.36/7.24 % (3499526)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=4089590779:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.36/7.24 % (3499529)Instruction limit reached!
% 8.36/7.24 % (3499529)------------------------------
% 8.36/7.24 % (3499529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499529)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499529)Termination reason: Instruction limit
% 8.36/7.24 % (3499529)Termination phase: Saturation
% 8.36/7.24 % (3499529)Time elapsed: 0.063 s
% 8.36/7.24 % (3499529)Peak memory usage: 89 MB
% 8.36/7.24 % (3499529)Instructions burned: 109 (million)
% 8.36/7.24 % (3499530)Instruction limit reached!
% 8.36/7.24 % (3499530)------------------------------
% 8.36/7.24 % (3499530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499530)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499530)Termination reason: Instruction limit
% 8.36/7.24 % (3499530)Termination phase: Saturation
% 8.36/7.24 % (3499530)Time elapsed: 0.070 s
% 8.36/7.24 % (3499530)Peak memory usage: 88 MB
% 8.36/7.24 % (3499530)Instructions burned: 119 (million)
% 8.36/7.24 % (3499531)Instruction limit reached!
% 8.36/7.24 % (3499531)------------------------------
% 8.36/7.24 % (3499531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499531)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499531)Termination reason: Instruction limit
% 8.36/7.24 % (3499531)Termination phase: Saturation
% 8.36/7.24 % (3499531)Time elapsed: 0.079 s
% 8.36/7.24 % (3499531)Peak memory usage: 90 MB
% 8.36/7.24 % (3499531)Instructions burned: 139 (million)
% 8.36/7.24 % (3499540)lrs+10_1_sil=8000:sp=occurrence:random_seed=2975075309:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.36/7.24 % (3499541)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2826310051:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.36/7.24 % (3499542)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3458739164:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.36/7.24 % (3499532)------------------------------
% 8.36/7.24 % (3499532)------------------------------
% 8.36/7.24 % (3499541)Instruction limit reached!
% 8.36/7.24 % (3499541)------------------------------
% 8.36/7.24 % (3499541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499541)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499541)Termination reason: Instruction limit
% 8.36/7.24 % (3499541)Termination phase: Saturation
% 8.36/7.24 % (3499541)Time elapsed: 0.096 s
% 8.36/7.24 % (3499541)Peak memory usage: 90 MB
% 8.36/7.24 % (3499541)Instructions burned: 157 (million)
% 8.36/7.24 % (3499546)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=2723624248:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.36/7.24 % (3499540)Instruction limit reached!
% 8.36/7.24 % (3499540)------------------------------
% 8.36/7.24 % (3499540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499540)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499540)Termination reason: Instruction limit
% 8.36/7.24 % (3499540)Termination phase: Saturation
% 8.36/7.24 % (3499540)Time elapsed: 0.173 s
% 8.36/7.24 % (3499540)Peak memory usage: 91 MB
% 8.36/7.24 % (3499540)Instructions burned: 286 (million)
% 8.36/7.24 % (3499546)Instruction limit reached!
% 8.36/7.24 % (3499546)------------------------------
% 8.36/7.24 % (3499546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499546)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499546)Termination reason: Instruction limit
% 8.36/7.24 % (3499546)Termination phase: Saturation
% 8.36/7.24 % (3499546)Time elapsed: 0.083 s
% 8.36/7.24 % (3499546)Peak memory usage: 92 MB
% 8.36/7.24 % (3499546)Instructions burned: 249 (million)
% 8.36/7.24 % (3499542)Instruction limit reached!
% 8.36/7.24 % (3499542)------------------------------
% 8.36/7.24 % (3499542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499542)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499542)Termination reason: Instruction limit
% 8.36/7.24 % (3499542)Termination phase: Saturation
% 8.36/7.24 % (3499542)Time elapsed: 0.195 s
% 8.36/7.24 % (3499542)Peak memory usage: 92 MB
% 8.36/7.24 % (3499542)Instructions burned: 325 (million)
% 8.36/7.24 % (3499547)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2469553201:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.36/7.24 % (3499549)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3830232256:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.36/7.24 % (3499550)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3303505635:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.36/7.24 % (3499550)Instruction limit reached!
% 8.36/7.24 % (3499550)------------------------------
% 8.36/7.24 % (3499550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499550)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499550)Termination reason: Instruction limit
% 8.36/7.24 % (3499550)Termination phase: Saturation
% 8.36/7.24 % (3499550)Time elapsed: 0.044 s
% 8.36/7.24 % (3499550)Peak memory usage: 90 MB
% 8.36/7.24 % (3499550)Instructions burned: 115 (million)
% 8.36/7.24 % (3499551)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1352184331:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.36/7.24 % (3499551)Instruction limit reached!
% 8.36/7.24 % (3499551)------------------------------
% 8.36/7.24 % (3499551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499551)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499551)Termination reason: Instruction limit
% 8.36/7.24 % (3499551)Termination phase: Saturation
% 8.36/7.24 % (3499551)Time elapsed: 0.063 s
% 8.36/7.24 % (3499551)Peak memory usage: 89 MB
% 8.36/7.24 % (3499551)Instructions burned: 128 (million)
% 8.36/7.24 % (3499547)Instruction limit reached!
% 8.36/7.24 % (3499547)------------------------------
% 8.36/7.24 % (3499547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499547)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499547)Termination reason: Instruction limit
% 8.36/7.24 % (3499547)Termination phase: Saturation
% 8.36/7.24 % (3499547)Time elapsed: 0.178 s
% 8.36/7.24 % (3499547)Peak memory usage: 90 MB
% 8.36/7.24 % (3499547)Instructions burned: 295 (million)
% 8.36/7.24 % (3499556)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=261382611:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.36/7.24 % (3499556)Instruction limit reached!
% 8.36/7.24 % (3499556)------------------------------
% 8.36/7.24 % (3499556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499556)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499556)Termination reason: Instruction limit
% 8.36/7.24 % (3499556)Termination phase: Saturation
% 8.36/7.24 % (3499556)Time elapsed: 0.037 s
% 8.36/7.24 % (3499556)Peak memory usage: 89 MB
% 8.36/7.24 % (3499556)Instructions burned: 116 (million)
% 8.36/7.24 % (3499558)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=395912961:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.36/7.24 % (3499557)lrs+10_1_sil=8000:sp=occurrence:random_seed=1222229198:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.36/7.24 % (3499560)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=984480850:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.36/7.24 % (3499527)First to succeed.
% 8.36/7.24 % (3499527)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3499521"
% 8.36/7.24 % (3499526)Also succeeded, but the first one will report.
% 8.36/7.24 % (3499558)Instruction limit reached!
% 8.36/7.24 % (3499558)------------------------------
% 8.36/7.24 % (3499558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/7.24 % (3499558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/7.24 % (3499558)CaDiCaL version: 2.1.3
% 8.36/7.24 % (3499558)Termination reason: Instruction limit
% 8.36/7.24 % (3499558)Termination phase: Saturation
% 8.36/7.24 % (3499558)Time elapsed: 0.252 s
% 8.36/7.24 % (3499558)Peak memory usage: 92 MB
% 8.36/7.24 % (3499558)Instructions burned: 438 (million)
% 8.36/7.24 % (3499527)Refutation found. Thanks to Tanya!
% 8.36/7.24 % SZS status Theorem for theBenchmark
% 8.36/7.24 % SZS output start Proof for theBenchmark
% See solution above
% 8.82/7.43 % (3499527)------------------------------
% 8.82/7.43 % (3499527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.82/7.43 % (3499527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.82/7.43 % (3499527)CaDiCaL version: 2.1.3
% 8.82/7.43 % (3499527)Termination reason: Refutation
% 8.82/7.43 % (3499527)Time elapsed: 0.751 s
% 8.82/7.43 % (3499527)Peak memory usage: 131 MB
% 8.82/7.43 % (3499527)Instructions burned: 1135 (million)
% 8.82/7.43 % (3499527)------------------------------
% 8.82/7.43 % (3499527)------------------------------
% 8.82/7.43 % (3499521)Success in time 1.162 s
% 8.82/7.43 % Vampire exiting
%------------------------------------------------------------------------------