%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE080+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 11:40:16 AM UTC 2026
% Result : Theorem 9.54s 2.34s
% Output : Refutation 10.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 75 ( 71 unt; 0 def)
% Number of atoms : 83 ( 82 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 112 ( 111 !; 1 ?)
% 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(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(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain5) ).
fof(f18,conjecture,
! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> antidomain(antidomain(X0)) = domain(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero )
=> antidomain(antidomain(X0)) = domain(X0) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] :
( domain(X0) != antidomain(antidomain(X0))
& ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( domain(sK0) != antidomain(antidomain(sK0))
& ! [X1] :
( addition(domain(X1),antidomain(X1)) = one
& multiplication(domain(X1),antidomain(X1)) = zero ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
fof(f22,plain,
! [X1] : zero = multiplication(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f23,plain,
! [X1] : one = addition(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f24,plain,
domain(sK0) != antidomain(antidomain(sK0)),
inference(cnf_transformation,[],[f21]) ).
fof(f25,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f29,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f31,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f14]) ).
fof(f33,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f36,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f37,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f39,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f15]) ).
fof(f40,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f44,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f32,f36]) ).
fof(f45,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f44,f36]) ).
fof(f114,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f34,f36]) ).
fof(f120,plain,
! [X0,X1] : multiplication(addition(X0,domain(X1)),antidomain(X1)) = addition(multiplication(X0,antidomain(X1)),zero),
inference(superposition,[],[f34,f22]) ).
fof(f127,plain,
! [X0,X1] : multiplication(addition(X0,domain(X1)),antidomain(X1)) = multiplication(X0,antidomain(X1)),
inference(forward_demodulation,[],[f120,f31]) ).
fof(f138,plain,
! [X0] : multiplication(domain(X0),X0) = multiplication(addition(one,domain(X0)),X0),
inference(superposition,[],[f33,f114]) ).
fof(f150,plain,
! [X0,X1] : multiplication(domain(X0),antidomain(X1)) = multiplication(domain(addition(X0,X1)),antidomain(X1)),
inference(superposition,[],[f127,f40]) ).
fof(f169,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f27,f39]) ).
fof(f180,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f35,f37]) ).
fof(f377,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f26,f35]) ).
fof(f378,plain,
! [X0,X1] : addition(one,X1) = addition(domain(X0),addition(antidomain(X0),X1)),
inference(superposition,[],[f26,f23]) ).
fof(f571,plain,
! [X0] : multiplication(domain(domain(X0)),antidomain(antidomain(X0))) = multiplication(domain(one),antidomain(antidomain(X0))),
inference(superposition,[],[f150,f23]) ).
fof(f594,plain,
! [X0] : multiplication(domain(one),antidomain(antidomain(X0))) = multiplication(domain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f571,f45]) ).
fof(f771,plain,
! [X0] : addition(domain(X0),antidomain(X0)) = addition(one,antidomain(X0)),
inference(superposition,[],[f378,f25]) ).
fof(f790,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f771,f23]) ).
fof(f932,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,[],[f377,f34]) ).
fof(f1059,plain,
! [X2,X0,X1] : addition(multiplication(X0,one),multiplication(X2,antidomain(X1))) = addition(multiplication(X0,domain(X1)),multiplication(addition(X0,X2),antidomain(X1))),
inference(superposition,[],[f932,f23]) ).
fof(f1219,plain,
! [X2,X0,X1] : addition(multiplication(X0,domain(X1)),multiplication(addition(X0,X2),antidomain(X1))) = addition(X0,multiplication(X2,antidomain(X1))),
inference(forward_demodulation,[],[f1059,f37]) ).
fof(f1469,plain,
! [X0,X1] : addition(domain(X0),multiplication(one,antidomain(X1))) = addition(multiplication(domain(X0),domain(X1)),multiplication(one,antidomain(X1))),
inference(superposition,[],[f1219,f39]) ).
fof(f1503,plain,
! [X0,X1] : addition(domain(X0),multiplication(one,antidomain(X1))) = addition(multiplication(one,antidomain(X1)),multiplication(domain(X0),domain(X1))),
inference(forward_demodulation,[],[f1469,f27]) ).
fof(f1527,plain,
! [X0,X1] : addition(antidomain(X1),multiplication(domain(X0),domain(X1))) = addition(domain(X0),antidomain(X1)),
inference(forward_demodulation,[],[f1503,f36]) ).
fof(f2162,plain,
! [X0,X1] : multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))) = multiplication(addition(one,domain(multiplication(X0,X1))),multiplication(X0,domain(X1))),
inference(superposition,[],[f138,f32]) ).
fof(f2165,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(superposition,[],[f138,f169]) ).
fof(f2212,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f2165,f36]) ).
fof(f2215,plain,
! [X0,X1] : multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))) = multiplication(one,multiplication(X0,domain(X1))),
inference(forward_demodulation,[],[f2162,f169]) ).
fof(f2234,plain,
! [X0,X1] : multiplication(X0,domain(X1)) = multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
inference(forward_demodulation,[],[f2215,f36]) ).
fof(f2290,plain,
one = domain(one),
inference(superposition,[],[f37,f2212]) ).
fof(f2321,plain,
! [X0] : multiplication(domain(X0),antidomain(antidomain(X0))) = multiplication(one,antidomain(antidomain(X0))),
inference(superposition,[],[f594,f2290]) ).
fof(f2377,plain,
! [X0] : antidomain(antidomain(X0)) = multiplication(domain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f2321,f36]) ).
fof(f2465,plain,
! [X0] : multiplication(domain(X0),addition(one,antidomain(antidomain(X0)))) = addition(domain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f180,f2377]) ).
fof(f2473,plain,
! [X0] : multiplication(domain(X0),one) = addition(domain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f2465,f790]) ).
fof(f2482,plain,
! [X0] : domain(X0) = addition(domain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f2473,f37]) ).
fof(f4033,plain,
! [X0] : multiplication(domain(X0),domain(antidomain(X0))) = multiplication(domain(zero),multiplication(domain(X0),domain(antidomain(X0)))),
inference(superposition,[],[f2234,f22]) ).
fof(f4108,plain,
! [X0] : multiplication(domain(X0),domain(antidomain(X0))) = multiplication(zero,multiplication(domain(X0),domain(antidomain(X0)))),
inference(forward_demodulation,[],[f4033,f28]) ).
fof(f4133,plain,
! [X0] : zero = multiplication(domain(X0),domain(antidomain(X0))),
inference(forward_demodulation,[],[f4108,f29]) ).
fof(f4161,plain,
! [X0] : addition(domain(X0),antidomain(antidomain(X0))) = addition(antidomain(antidomain(X0)),zero),
inference(superposition,[],[f1527,f4133]) ).
fof(f4204,plain,
! [X0] : antidomain(antidomain(X0)) = addition(domain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f4161,f31]) ).
fof(f4227,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(forward_demodulation,[],[f4204,f2482]) ).
fof(f4254,plain,
domain(sK0) != domain(sK0),
inference(superposition,[],[f24,f4227]) ).
fof(f4296,plain,
$false,
inference(trivial_inequality_removal,[],[f4254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE080+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 13:09:07 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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
% 9.54/2.34 % (3506974)Detected formulas, will run a generic FOF schedule.
% 9.54/2.34 % (3507051)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3965178980:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.54/2.34 % (3507044)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=1154166246:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.54/2.34 % (3507046)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=660950926:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.54/2.34 % (3507051)Instruction limit reached!
% 9.54/2.34 % (3507051)------------------------------
% 9.54/2.34 % (3507051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507051)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507051)Termination reason: Instruction limit
% 9.54/2.34 % (3507051)Termination phase: Saturation
% 9.54/2.34 % (3507051)Time elapsed: 0.038 s
% 9.54/2.34 % (3507051)Peak memory usage: 89 MB
% 9.54/2.34 % (3507051)Instructions burned: 121 (million)
% 9.54/2.34 % (3507048)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=1661085802:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.54/2.34 % (3507053)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=765482664:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.54/2.34 % (3507050)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1794540799:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.54/2.34 % (3507055)dis-21_1_sil=8000:lcm=predicate:random_seed=586775189: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)
% 9.54/2.34 % (3507055)Refutation not found, incomplete strategy
% 9.54/2.34 % (3507055)------------------------------
% 9.54/2.34 % (3507055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507055)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507055)Termination reason: Refutation not found, incomplete strategy
% 9.54/2.34 % (3507055)Time elapsed: 0.001 s
% 9.54/2.34 % (3507055)Peak memory usage: 88 MB
% 9.54/2.34 % (3507055)Instructions burned: 1 (million)
% 9.54/2.34 % (3507050)Instruction limit reached!
% 9.54/2.34 % (3507050)------------------------------
% 9.54/2.34 % (3507050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507050)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507050)Termination reason: Instruction limit
% 9.54/2.34 % (3507050)Termination phase: Saturation
% 9.54/2.34 % (3507050)Time elapsed: 0.065 s
% 9.54/2.34 % (3507050)Peak memory usage: 89 MB
% 9.54/2.34 % (3507050)Instructions burned: 109 (million)
% 9.54/2.34 % (3507053)Instruction limit reached!
% 9.54/2.34 % (3507053)------------------------------
% 9.54/2.34 % (3507053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507053)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507053)Termination reason: Instruction limit
% 9.54/2.34 % (3507053)Termination phase: Saturation
% 9.54/2.34 % (3507053)Time elapsed: 0.082 s
% 9.54/2.34 % (3507053)Peak memory usage: 89 MB
% 9.54/2.34 % (3507053)Instructions burned: 140 (million)
% 9.54/2.34 % (3507090)lrs+10_1_sil=8000:sp=occurrence:random_seed=1470229791:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.54/2.34 % (3507090)Instruction limit reached!
% 9.54/2.34 % (3507090)------------------------------
% 9.54/2.34 % (3507090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507090)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507090)Termination reason: Instruction limit
% 9.54/2.34 % (3507090)Termination phase: Saturation
% 9.54/2.34 % (3507090)Time elapsed: 0.093 s
% 9.54/2.34 % (3507090)Peak memory usage: 91 MB
% 9.54/2.34 % (3507090)Instructions burned: 286 (million)
% 9.54/2.34 % (3507102)lrs+10_1_sil=32000:urr=on:br=off:random_seed=677297313:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.54/2.34 % (3507104)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3677656323:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.54/2.34 % (3507055)------------------------------
% 9.54/2.34 % (3507055)------------------------------
% 9.54/2.34 % (3507126)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=583404536:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.54/2.34 % (3507102)Instruction limit reached!
% 9.54/2.34 % (3507102)------------------------------
% 9.54/2.34 % (3507102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507102)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507102)Termination reason: Instruction limit
% 9.54/2.34 % (3507102)Termination phase: Saturation
% 9.54/2.34 % (3507102)Time elapsed: 0.097 s
% 9.54/2.34 % (3507102)Peak memory usage: 90 MB
% 9.54/2.34 % (3507102)Instructions burned: 158 (million)
% 9.54/2.34 % (3507126)Instruction limit reached!
% 9.54/2.34 % (3507126)------------------------------
% 9.54/2.34 % (3507126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507126)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507126)Termination reason: Instruction limit
% 9.54/2.34 % (3507126)Termination phase: Saturation
% 9.54/2.34 % (3507126)Time elapsed: 0.083 s
% 9.54/2.34 % (3507126)Peak memory usage: 92 MB
% 9.54/2.34 % (3507126)Instructions burned: 250 (million)
% 9.54/2.34 % (3507156)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2534097980:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 9.54/2.34 % (3507104)Instruction limit reached!
% 9.54/2.34 % (3507104)------------------------------
% 9.54/2.34 % (3507104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507104)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507104)Termination reason: Instruction limit
% 9.54/2.34 % (3507104)Termination phase: Saturation
% 9.54/2.34 % (3507104)Time elapsed: 0.202 s
% 9.54/2.34 % (3507104)Peak memory usage: 92 MB
% 9.54/2.34 % (3507104)Instructions burned: 326 (million)
% 9.54/2.34 % (3507158)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2402930827:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.54/2.34 % (3507159)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3771381735:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 9.54/2.34 % (3507159)Instruction limit reached!
% 9.54/2.34 % (3507159)------------------------------
% 9.54/2.34 % (3507159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507159)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507159)Termination reason: Instruction limit
% 9.54/2.34 % (3507159)Termination phase: Saturation
% 9.54/2.34 % (3507159)Time elapsed: 0.038 s
% 9.54/2.34 % (3507159)Peak memory usage: 90 MB
% 9.54/2.34 % (3507159)Instructions burned: 114 (million)
% 9.54/2.34 % (3507161)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1398230665:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 9.54/2.34 % (3507161)Refutation not found, incomplete strategy
% 9.54/2.34 % (3507161)------------------------------
% 9.54/2.34 % (3507161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507161)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507161)Termination reason: Refutation not found, incomplete strategy
% 9.54/2.34 % (3507161)Time elapsed: 0.001 s
% 9.54/2.34 % (3507161)Peak memory usage: 87 MB
% 9.54/2.34 % (3507164)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1077006823:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.54/2.34 % (3507156)Instruction limit reached!
% 9.54/2.34 % (3507156)------------------------------
% 9.54/2.34 % (3507156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507156)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507156)Termination reason: Instruction limit
% 9.54/2.34 % (3507156)Termination phase: Saturation
% 9.54/2.34 % (3507156)Time elapsed: 0.172 s
% 9.54/2.34 % (3507156)Peak memory usage: 91 MB
% 9.54/2.34 % (3507156)Instructions burned: 295 (million)
% 9.54/2.34 % (3507164)Instruction limit reached!
% 9.54/2.34 % (3507164)------------------------------
% 9.54/2.34 % (3507164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507164)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507164)Termination reason: Instruction limit
% 9.54/2.34 % (3507164)Termination phase: Saturation
% 9.54/2.34 % (3507164)Time elapsed: 0.034 s
% 9.54/2.34 % (3507164)Peak memory usage: 89 MB
% 9.54/2.34 % (3507164)Instructions burned: 114 (million)
% 9.54/2.34 % (3507168)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2242638030:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 9.54/2.34 % (3507167)lrs+10_1_sil=8000:sp=occurrence:random_seed=300405547:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.54/2.34 % (3507161)------------------------------
% 9.54/2.34 % (3507161)------------------------------
% 9.54/2.34 % (3507168)Instruction limit reached!
% 9.54/2.34 % (3507168)------------------------------
% 9.54/2.34 % (3507168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507168)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507168)Termination reason: Instruction limit
% 9.54/2.34 % (3507168)Termination phase: Saturation
% 9.54/2.34 % (3507168)Time elapsed: 0.125 s
% 9.54/2.34 % (3507168)Peak memory usage: 92 MB
% 9.54/2.34 % (3507168)Instructions burned: 440 (million)
% 9.54/2.34 % (3507172)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3923286036:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 9.54/2.34 % (3507172)Refutation not found, incomplete strategy
% 9.54/2.34 % (3507172)------------------------------
% 9.54/2.34 % (3507172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.54/2.34 % (3507172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.54/2.34 % (3507172)CaDiCaL version: 2.1.3
% 9.54/2.34 % (3507172)Termination reason: Refutation not found, incomplete strategy
% 9.54/2.34 % (3507172)Time elapsed: 0.001 s
% 9.54/2.34 % (3507172)Peak memory usage: 88 MB
% 9.54/2.34 % (3507172)Instructions burned: 1 (million)
% 9.54/2.34 % (3507171)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=84801129:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.54/2.34 % (3507046)First to succeed.
% 9.54/2.34 % (3507046)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3506974"
% 9.54/2.34 % (3507044)Also succeeded, but the first one will report.
% 9.54/2.34 % (3507172)------------------------------
% 9.54/2.34 % (3507172)------------------------------
% 9.54/2.34 % (3507175)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1614721359:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 9.54/2.34 % (3507046)Refutation found. Thanks to Tanya!
% 9.54/2.34 % SZS status Theorem for theBenchmark
% 9.54/2.34 % SZS output start Proof for theBenchmark
% See solution above
% 10.12/2.53 % (3507046)------------------------------
% 10.12/2.53 % (3507046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.53 % (3507046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.53 % (3507046)CaDiCaL version: 2.1.3
% 10.12/2.53 % (3507046)Termination reason: Refutation
% 10.12/2.53 % (3507046)Time elapsed: 0.930 s
% 10.12/2.53 % (3507046)Peak memory usage: 133 MB
% 10.12/2.53 % (3507046)Instructions burned: 1434 (million)
% 10.12/2.53 % (3507046)------------------------------
% 10.12/2.53 % (3507046)------------------------------
% 10.12/2.53 % (3506974)Success in time 1.319 s
% 10.12/2.53 % Vampire exiting
%------------------------------------------------------------------------------