%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE027+3 : 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 : n026.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 11:40:07 AM UTC 2026
% Result : Theorem 11.55s 2.61s
% Output : Refutation 11.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 29 unt; 0 def)
% Number of atoms : 90 ( 57 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 71 ( 28 ~; 20 |; 17 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 73 ( 63 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_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(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/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/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(f19,conjecture,
! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) = addition(multiplication(X3,X0),multiplication(c(X3),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) = addition(multiplication(X3,X0),multiplication(c(X3),X2)) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0,X1,X2,X3,X4] :
( addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) != addition(multiplication(X3,X0),multiplication(c(X3),X2))
& test(X3)
& test(X4) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
? [X0,X1,X2,X3,X4] :
( addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) != addition(multiplication(X3,X0),multiplication(c(X3),X2))
& test(X3)
& test(X4) ),
inference(flattening,[],[f21]) ).
fof(f28,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f29,plain,
( addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)) != addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))
& test(sK3)
& test(sK4) ),
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] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f34,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(f35,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,[],[f34]) ).
fof(f37,plain,
test(sK3),
inference(cnf_transformation,[],[f29]) ).
fof(f38,plain,
addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)) != addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),
inference(cnf_transformation,[],[f29]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f43,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f47,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f51,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f58,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f60,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f61,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f62,plain,
addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)) != addition(multiplication(c(sK3),sK2),multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1)))),
inference(forward_demodulation,[],[f38,f43]) ).
fof(f67,plain,
! [X0] :
( one = addition(c(X0),X0)
| ~ test(X0) ),
inference(resolution,[],[f52,f61]) ).
fof(f68,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f67,f43]) ).
fof(f69,plain,
one = addition(sK3,c(sK3)),
inference(resolution,[],[f68,f37]) ).
fof(f488,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f53,f61]) ).
fof(f677,plain,
zero = multiplication(sK3,c(sK3)),
inference(resolution,[],[f488,f37]) ).
fof(f684,plain,
! [X0] : multiplication(sK3,addition(X0,c(sK3))) = addition(multiplication(sK3,X0),zero),
inference(superposition,[],[f40,f677]) ).
fof(f685,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK3,multiplication(c(sK3),X0)),
inference(superposition,[],[f51,f677]) ).
fof(f696,plain,
! [X0] : zero = multiplication(sK3,multiplication(c(sK3),X0)),
inference(forward_demodulation,[],[f685,f56]) ).
fof(f697,plain,
! [X0] : multiplication(sK3,X0) = multiplication(sK3,addition(X0,c(sK3))),
inference(forward_demodulation,[],[f684,f58]) ).
fof(f709,plain,
multiplication(sK3,sK3) = multiplication(sK3,one),
inference(superposition,[],[f697,f69]) ).
fof(f730,plain,
sK3 = multiplication(sK3,sK3),
inference(forward_demodulation,[],[f709,f60]) ).
fof(f746,plain,
! [X0] : multiplication(sK3,X0) = multiplication(sK3,multiplication(sK3,X0)),
inference(superposition,[],[f51,f730]) ).
fof(f771,plain,
! [X0,X1] : addition(multiplication(sK3,X0),zero) = multiplication(sK3,addition(X0,multiplication(c(sK3),X1))),
inference(superposition,[],[f40,f696]) ).
fof(f784,plain,
! [X0,X1] : multiplication(sK3,X0) = multiplication(sK3,addition(X0,multiplication(c(sK3),X1))),
inference(forward_demodulation,[],[f771,f58]) ).
fof(f805,plain,
addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)) != addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0))),
inference(superposition,[],[f62,f784]) ).
fof(f826,plain,
addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)) != addition(multiplication(c(sK3),sK2),multiplication(sK3,sK0)),
inference(forward_demodulation,[],[f805,f746]) ).
fof(f835,plain,
$false,
inference(forward_subsumption_resolution,[],[f826,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE027+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n026.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 13:07:41 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 7.13/2.41 % (2830689)Detected formulas, will run a generic FOF schedule.
% 7.13/2.41 % (2830797)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=1062963454:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.13/2.41 % (2830796)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=1173132454:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.13/2.41 % (2830801)dis-21_1_sil=8000:lcm=predicate:random_seed=2286190270: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)
% 7.13/2.41 % (2830800)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1388450195:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.13/2.41 % (2830799)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1117371831:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.13/2.41 % (2830795)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=3540557343:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.13/2.41 % (2830801)Refutation not found, incomplete strategy
% 7.13/2.41 % (2830801)------------------------------
% 7.13/2.41 % (2830801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/2.41 % (2830801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/2.41 % (2830801)CaDiCaL version: 2.1.3
% 7.13/2.41 % (2830801)Termination reason: Refutation not found, incomplete strategy
% 7.13/2.41 % (2830801)Time elapsed: 0.002 s
% 7.13/2.41 % (2830801)Peak memory usage: 88 MB
% 7.13/2.41 % (2830801)Instructions burned: 2 (million)
% 7.13/2.41 % (2830798)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2718669317:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.13/2.41 % (2830798)Refutation not found, incomplete strategy
% 7.13/2.41 % (2830798)------------------------------
% 7.13/2.41 % (2830798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/2.41 % (2830798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/2.41 % (2830798)CaDiCaL version: 2.1.3
% 7.13/2.41 % (2830798)Termination reason: Refutation not found, incomplete strategy
% 7.13/2.41 % (2830798)Time elapsed: 0.002 s
% 7.13/2.41 % (2830798)Peak memory usage: 88 MB
% 7.13/2.41 % (2830798)Instructions burned: 1 (million)
% 7.13/2.41 % (2830799)Instruction limit reached!
% 7.13/2.41 % (2830799)------------------------------
% 7.13/2.41 % (2830799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/2.41 % (2830799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/2.41 % (2830799)CaDiCaL version: 2.1.3
% 7.13/2.41 % (2830799)Termination reason: Instruction limit
% 7.13/2.41 % (2830799)Termination phase: Saturation
% 7.13/2.41 % (2830799)Time elapsed: 0.064 s
% 7.13/2.41 % (2830799)Peak memory usage: 88 MB
% 7.13/2.41 % (2830799)Instructions burned: 119 (million)
% 7.13/2.41 % (2830800)Instruction limit reached!
% 7.13/2.41 % (2830800)------------------------------
% 7.13/2.41 % (2830800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/2.41 % (2830800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/2.41 % (2830800)CaDiCaL version: 2.1.3
% 7.13/2.41 % (2830800)Termination reason: Instruction limit
% 7.13/2.41 % (2830800)Termination phase: Saturation
% 7.13/2.41 % (2830800)Time elapsed: 0.087 s
% 7.13/2.41 % (2830800)Peak memory usage: 90 MB
% 7.13/2.41 % (2830800)Instructions burned: 139 (million)
% 7.13/2.41 % (2830817)lrs+10_1_sil=8000:sp=occurrence:random_seed=3449577199:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.13/2.41 % (2830801)------------------------------
% 7.13/2.41 % (2830801)------------------------------
% 7.13/2.41 % (2830830)lrs+10_1_sil=32000:urr=on:br=off:random_seed=191467531:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.13/2.41 % (2830798)------------------------------
% 7.13/2.41 % (2830798)------------------------------
% 7.13/2.41 % (2830830)Instruction limit reached!
% 7.13/2.41 % (2830830)------------------------------
% 7.13/2.41 % (2830830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/2.41 % (2830830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/2.41 % (2830830)CaDiCaL version: 2.1.3
% 7.13/2.41 % (2830830)Termination reason: Instruction limit
% 7.13/2.41 % (2830830)Termination phase: Saturation
% 7.13/2.41 % (2830830)Time elapsed: 0.159 s
% 7.13/2.41 % (2830830)Peak memory usage: 91 MB
% 7.13/2.41 % (2830830)Instructions burned: 158 (million)
% 7.13/2.41 % (2830849)lrs+1011_1_sil=32000:sp=occurrence:random_seed=775752904:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 7.13/2.41 % (2830851)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=2986632663:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 7.13/2.41 % (2830817)Instruction limit reached!
% 7.13/2.41 % (2830817)------------------------------
% 7.13/2.41 % (2830817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/2.41 % (2830817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/2.41 % (2830817)CaDiCaL version: 2.1.3
% 7.13/2.41 % (2830817)Termination reason: Instruction limit
% 7.13/2.41 % (2830817)Termination phase: Saturation
% 7.13/2.41 % (2830817)Time elapsed: 0.292 s
% 7.13/2.41 % (2830817)Peak memory usage: 91 MB
% 7.13/2.41 % (2830817)Instructions burned: 285 (million)
% 7.13/2.41 % (2830851)Instruction limit reached!
% 7.13/2.41 % (2830851)------------------------------
% 7.13/2.41 % (2830851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/2.41 % (2830851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/2.41 % (2830851)CaDiCaL version: 2.1.3
% 7.13/2.41 % (2830851)Termination reason: Instruction limit
% 7.13/2.41 % (2830851)Termination phase: Saturation
% 7.13/2.41 % (2830851)Time elapsed: 0.131 s
% 7.13/2.41 % (2830851)Peak memory usage: 92 MB
% 7.13/2.41 % (2830851)Instructions burned: 248 (million)
% 7.13/2.41 % (2830856)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4223309186:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 7.13/2.41 % (2830849)Instruction limit reached!
% 7.13/2.41 % (2830849)------------------------------
% 7.13/2.41 % (2830849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/2.41 % (2830849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/2.41 % (2830849)CaDiCaL version: 2.1.3
% 7.13/2.41 % (2830849)Termination reason: Instruction limit
% 7.13/2.41 % (2830849)Termination phase: Saturation
% 7.13/2.41 % (2830849)Time elapsed: 0.276 s
% 7.13/2.41 % (2830849)Peak memory usage: 92 MB
% 7.13/2.41 % (2830849)Instructions burned: 325 (million)
% 7.13/2.41 % (2830859)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1611963423:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 7.13/2.41 % (2830796)First to succeed.
% 7.13/2.41 % (2830796)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2830689"
% 7.13/2.41 % (2830860)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2994375040:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 7.13/2.41 % (2830860)Instruction limit reached!
% 7.13/2.41 % (2830860)------------------------------
% 7.13/2.41 % (2830860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/2.41 % (2830860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/2.41 % (2830860)CaDiCaL version: 2.1.3
% 7.13/2.41 % (2830860)Termination reason: Instruction limit
% 7.13/2.41 % (2830860)Termination phase: Saturation
% 7.13/2.41 % (2830860)Time elapsed: 0.064 s
% 7.13/2.41 % (2830860)Peak memory usage: 90 MB
% 7.13/2.41 % (2830860)Instructions burned: 114 (million)
% 7.13/2.41 % (2830856)Instruction limit reached!
% 7.13/2.41 % (2830856)------------------------------
% 7.13/2.41 % (2830856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.13/2.41 % (2830856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.13/2.41 % (2830856)CaDiCaL version: 2.1.3
% 7.13/2.41 % (2830856)Termination reason: Instruction limit
% 7.13/2.41 % (2830856)Termination phase: Saturation
% 7.13/2.41 % (2830856)Time elapsed: 0.290 s
% 7.13/2.41 % (2830856)Peak memory usage: 90 MB
% 7.13/2.41 % (2830856)Instructions burned: 294 (million)
% 7.13/2.41 % (2830864)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1755018793:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 7.13/2.41 % (2830872)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2856964662:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 11.55/2.61 % (2830864)Instruction limit reached!
% 11.55/2.61 % (2830864)------------------------------
% 11.55/2.61 % (2830864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.55/2.61 % (2830864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.55/2.61 % (2830864)CaDiCaL version: 2.1.3
% 11.55/2.61 % (2830864)Termination reason: Instruction limit
% 11.55/2.61 % (2830864)Termination phase: Saturation
% 11.55/2.61 % (2830864)Time elapsed: 0.100 s
% 11.55/2.61 % (2830864)Peak memory usage: 88 MB
% 11.55/2.61 % (2830864)Instructions burned: 127 (million)
% 11.55/2.61 % (2830872)Instruction limit reached!
% 11.55/2.61 % (2830872)------------------------------
% 11.55/2.61 % (2830872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.55/2.61 % (2830872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.55/2.61 % (2830872)CaDiCaL version: 2.1.3
% 11.55/2.61 % (2830872)Termination reason: Instruction limit
% 11.55/2.61 % (2830872)Termination phase: Saturation
% 11.55/2.61 % (2830872)Time elapsed: 0.059 s
% 11.55/2.61 % (2830872)Peak memory usage: 89 MB
% 11.55/2.61 % (2830872)Instructions burned: 114 (million)
% 11.55/2.61 % (2830795)Also succeeded, but the first one will report.
% 11.55/2.61 % (2830796)Refutation found. Thanks to Tanya!
% 11.55/2.61 % SZS status Theorem for theBenchmark
% 11.55/2.61 % SZS output start Proof for theBenchmark
% See solution above
% 11.55/2.61 % (2830796)------------------------------
% 11.55/2.61 % (2830796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.55/2.61 % (2830796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.55/2.61 % (2830796)CaDiCaL version: 2.1.3
% 11.55/2.61 % (2830796)Termination reason: Refutation
% 11.55/2.61 % (2830796)Time elapsed: 0.967 s
% 11.55/2.61 % (2830796)Peak memory usage: 129 MB
% 11.55/2.61 % (2830796)Instructions burned: 1046 (million)
% 11.55/2.61 % (2830796)------------------------------
% 11.55/2.61 % (2830796)------------------------------
% 11.55/2.61 % (2830689)Success in time 1.555 s
% 11.55/2.61 % Vampire exiting
%------------------------------------------------------------------------------