%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE069+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 : n009.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 11:40:15 AM UTC 2026
% Result : Theorem 7.56s 2.04s
% Output : Refutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 60 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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; 4 con; 0-2 aty)
% Number of variables : 104 ( 102 !; 2 ?)
% 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(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] : multiplication(domain(X0),addition(domain(X0),domain(X1))) = domain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0,X1] : multiplication(domain(X0),addition(domain(X0),domain(X1))) = domain(X0),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0,X1] : domain(X0) != multiplication(domain(X0),addition(domain(X0),domain(X1))),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
domain(sK0) != multiplication(domain(sK0),addition(domain(sK0),domain(sK1))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f22,plain,
domain(sK0) != multiplication(domain(sK0),addition(domain(sK0),domain(sK1))),
inference(cnf_transformation,[],[f21]) ).
fof(f24,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f28,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f33,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f15]) ).
fof(f38,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
domain(sK0) != multiplication(domain(sK0),domain(addition(sK0,sK1))),
inference(forward_demodulation,[],[f22,f35]) ).
fof(f42,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f26,f32]) ).
fof(f43,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f42,f32]) ).
fof(f60,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f32]) ).
fof(f84,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f25,f37]) ).
fof(f90,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f24,f31]) ).
fof(f176,plain,
! [X0] : multiplication(domain(X0),X0) = multiplication(addition(one,domain(X0)),X0),
inference(superposition,[],[f27,f60]) ).
fof(f183,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[],[f176,f84]) ).
fof(f189,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f183,f32]) ).
fof(f201,plain,
! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(domain(X0),X1),X0),
inference(superposition,[],[f30,f189]) ).
fof(f205,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = multiplication(addition(domain(X0),X1),X0),
inference(forward_demodulation,[],[f201,f60]) ).
fof(f454,plain,
! [X0,X1] : multiplication(addition(one,domain(X1)),X0) = multiplication(domain(addition(X0,X1)),X0),
inference(superposition,[],[f205,f35]) ).
fof(f499,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(domain(addition(X0,X1)),X0),
inference(forward_demodulation,[],[f454,f84]) ).
fof(f511,plain,
! [X0,X1] : multiplication(domain(addition(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f499,f32]) ).
fof(f534,plain,
! [X0,X1] : domain(X0) = multiplication(domain(domain(addition(X0,X1))),domain(X0)),
inference(superposition,[],[f511,f35]) ).
fof(f560,plain,
! [X0,X1] : domain(X0) = multiplication(domain(addition(X0,X1)),domain(X0)),
inference(forward_demodulation,[],[f534,f43]) ).
fof(f597,plain,
! [X2,X0,X1] : multiplication(domain(addition(X0,X1)),addition(domain(X0),X2)) = addition(domain(X0),multiplication(domain(addition(X0,X1)),X2)),
inference(superposition,[],[f31,f560]) ).
fof(f886,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,[],[f90,f30]) ).
fof(f992,plain,
! [X2,X0,X1] : addition(multiplication(X0,one),multiplication(addition(X0,X2),domain(X1))) = addition(multiplication(X0,one),multiplication(X2,domain(X1))),
inference(superposition,[],[f886,f84]) ).
fof(f1143,plain,
! [X2,X0,X1] : addition(X0,multiplication(addition(X0,X2),domain(X1))) = addition(X0,multiplication(X2,domain(X1))),
inference(forward_demodulation,[],[f992,f33]) ).
fof(f1720,plain,
! [X2,X0,X1] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = addition(domain(X0),multiplication(domain(addition(X0,X1)),domain(X2))),
inference(superposition,[],[f1143,f35]) ).
fof(f1773,plain,
! [X2,X0,X1] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(domain(addition(X0,X1)),addition(domain(X0),domain(X2))),
inference(forward_demodulation,[],[f1720,f597]) ).
fof(f1795,plain,
! [X2,X0,X1] : addition(domain(X0),multiplication(domain(X1),domain(X2))) = multiplication(domain(addition(X0,X1)),domain(addition(X0,X2))),
inference(forward_demodulation,[],[f1773,f35]) ).
fof(f1835,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(zero),domain(X1))),
inference(superposition,[],[f1795,f38]) ).
fof(f1953,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X0,X1))) = addition(domain(X0),multiplication(zero,domain(X1))),
inference(forward_demodulation,[],[f1835,f36]) ).
fof(f1990,plain,
! [X0,X1] : addition(domain(X0),zero) = multiplication(domain(X0),domain(addition(X0,X1))),
inference(forward_demodulation,[],[f1953,f28]) ).
fof(f2018,plain,
! [X0,X1] : domain(X0) = multiplication(domain(X0),domain(addition(X0,X1))),
inference(forward_demodulation,[],[f1990,f38]) ).
fof(f2066,plain,
domain(sK0) != domain(sK0),
inference(superposition,[],[f39,f2018]) ).
fof(f2085,plain,
$false,
inference(trivial_inequality_removal,[],[f2066]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE069+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:08:30 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.56/2.04 % (2022473)Detected formulas, will run a generic FOF schedule.
% 7.56/2.04 % (2022482)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=466092932:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.56/2.04 % (2022482)Instruction limit reached!
% 7.56/2.04 % (2022482)------------------------------
% 7.56/2.04 % (2022482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022482)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022482)Termination reason: Instruction limit
% 7.56/2.04 % (2022482)Termination phase: Saturation
% 7.56/2.04 % (2022482)Time elapsed: 0.034 s
% 7.56/2.04 % (2022482)Peak memory usage: 88 MB
% 7.56/2.04 % (2022482)Instructions burned: 119 (million)
% 7.56/2.04 % (2022479)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=3389181783:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.56/2.04 % (2022478)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=668455706:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.56/2.04 % (2022481)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=15076897:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.56/2.04 % (2022480)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=2087115080:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.56/2.04 % (2022481)Refutation not found, incomplete strategy
% 7.56/2.04 % (2022481)------------------------------
% 7.56/2.04 % (2022481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022481)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022481)Termination reason: Refutation not found, incomplete strategy
% 7.56/2.04 % (2022481)Time elapsed: 0.001 s
% 7.56/2.04 % (2022481)Peak memory usage: 88 MB
% 7.56/2.04 % (2022484)dis-21_1_sil=8000:lcm=predicate:random_seed=161896897: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)
% 7.56/2.04 % (2022484)Refutation not found, incomplete strategy
% 7.56/2.04 % (2022484)------------------------------
% 7.56/2.04 % (2022484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022484)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022484)Termination reason: Refutation not found, incomplete strategy
% 7.56/2.04 % (2022484)Time elapsed: 0.001 s
% 7.56/2.04 % (2022484)Peak memory usage: 88 MB
% 7.56/2.04 % (2022484)Instructions burned: 1 (million)
% 7.56/2.04 % (2022483)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3061763013:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.56/2.04 % (2022486)lrs+10_1_sil=8000:sp=occurrence:random_seed=2306862289:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.56/2.04 % (2022483)Instruction limit reached!
% 7.56/2.04 % (2022483)------------------------------
% 7.56/2.04 % (2022483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022483)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022483)Termination reason: Instruction limit
% 7.56/2.04 % (2022483)Termination phase: Saturation
% 7.56/2.04 % (2022483)Time elapsed: 0.081 s
% 7.56/2.04 % (2022483)Peak memory usage: 89 MB
% 7.56/2.04 % (2022483)Instructions burned: 140 (million)
% 7.56/2.04 % (2022486)Instruction limit reached!
% 7.56/2.04 % (2022486)------------------------------
% 7.56/2.04 % (2022486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022486)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022486)Termination reason: Instruction limit
% 7.56/2.04 % (2022486)Termination phase: Saturation
% 7.56/2.04 % (2022486)Time elapsed: 0.092 s
% 7.56/2.04 % (2022486)Peak memory usage: 91 MB
% 7.56/2.04 % (2022486)Instructions burned: 287 (million)
% 7.56/2.04 % (2022494)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2634830612:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.56/2.04 % (2022481)------------------------------
% 7.56/2.04 % (2022481)------------------------------
% 7.56/2.04 % (2022484)------------------------------
% 7.56/2.04 % (2022484)------------------------------
% 7.56/2.04 % (2022495)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3280447776:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.56/2.04 % (2022494)Instruction limit reached!
% 7.56/2.04 % (2022494)------------------------------
% 7.56/2.04 % (2022494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022494)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022494)Termination reason: Instruction limit
% 7.56/2.04 % (2022494)Termination phase: Saturation
% 7.56/2.04 % (2022494)Time elapsed: 0.095 s
% 7.56/2.04 % (2022494)Peak memory usage: 89 MB
% 7.56/2.04 % (2022494)Instructions burned: 159 (million)
% 7.56/2.04 % (2022495)Instruction limit reached!
% 7.56/2.04 % (2022495)------------------------------
% 7.56/2.04 % (2022495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022495)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022495)Termination reason: Instruction limit
% 7.56/2.04 % (2022495)Termination phase: Saturation
% 7.56/2.04 % (2022495)Time elapsed: 0.106 s
% 7.56/2.04 % (2022495)Peak memory usage: 91 MB
% 7.56/2.04 % (2022495)Instructions burned: 328 (million)
% 7.56/2.04 % (2022497)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=2295031709:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.56/2.04 % (2022499)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=519568291:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.56/2.04 % (2022499)Refutation not found, incomplete strategy
% 7.56/2.04 % (2022499)------------------------------
% 7.56/2.04 % (2022499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022499)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022499)Termination reason: Refutation not found, incomplete strategy
% 7.56/2.04 % (2022499)Time elapsed: 0.002 s
% 7.56/2.04 % (2022499)Peak memory usage: 88 MB
% 7.56/2.04 % (2022499)Instructions burned: 1 (million)
% 7.56/2.04 % (2022500)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1558401182:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.56/2.04 % (2022501)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2282514859:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.56/2.04 % (2022501)Refutation not found, incomplete strategy
% 7.56/2.04 % (2022501)------------------------------
% 7.56/2.04 % (2022501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022501)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022501)Termination reason: Refutation not found, incomplete strategy
% 7.56/2.04 % (2022501)Time elapsed: 0.001 s
% 7.56/2.04 % (2022501)Peak memory usage: 88 MB
% 7.56/2.04 % (2022497)Instruction limit reached!
% 7.56/2.04 % (2022497)------------------------------
% 7.56/2.04 % (2022497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022497)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022497)Termination reason: Instruction limit
% 7.56/2.04 % (2022497)Termination phase: Saturation
% 7.56/2.04 % (2022497)Time elapsed: 0.153 s
% 7.56/2.04 % (2022497)Peak memory usage: 91 MB
% 7.56/2.04 % (2022497)Instructions burned: 249 (million)
% 7.56/2.04 % (2022480)Refutation not found, incomplete strategy
% 7.56/2.04 % (2022480)------------------------------
% 7.56/2.04 % (2022480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022480)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022480)Termination reason: Refutation not found, incomplete strategy
% 7.56/2.04 % (2022480)Time elapsed: 0.596 s
% 7.56/2.04 % (2022480)Peak memory usage: 127 MB
% 7.56/2.04 % (2022480)Instructions burned: 890 (million)
% 7.56/2.04 % (2022501)------------------------------
% 7.56/2.04 % (2022501)------------------------------
% 7.56/2.04 % (2022499)------------------------------
% 7.56/2.04 % (2022499)------------------------------
% 7.56/2.04 % (2022506)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3147538866:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.56/2.04 % (2022506)Refutation not found, incomplete strategy
% 7.56/2.04 % (2022506)------------------------------
% 7.56/2.04 % (2022506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022506)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022506)Termination reason: Refutation not found, incomplete strategy
% 7.56/2.04 % (2022506)Time elapsed: 0.001 s
% 7.56/2.04 % (2022506)Peak memory usage: 87 MB
% 7.56/2.04 % (2022507)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4038621249:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.56/2.04 % (2022507)Refutation not found, incomplete strategy
% 7.56/2.04 % (2022507)------------------------------
% 7.56/2.04 % (2022507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022507)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022507)Termination reason: Refutation not found, incomplete strategy
% 7.56/2.04 % (2022507)Time elapsed: 0.001 s
% 7.56/2.04 % (2022507)Peak memory usage: 88 MB
% 7.56/2.04 % (2022479)First to succeed.
% 7.56/2.04 % (2022479)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2022473"
% 7.56/2.04 % (2022508)lrs+10_1_sil=8000:sp=occurrence:random_seed=1588787775:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.56/2.04 % (2022480)------------------------------
% 7.56/2.04 % (2022480)------------------------------
% 7.56/2.04 % (2022507)------------------------------
% 7.56/2.04 % (2022507)------------------------------
% 7.56/2.04 % (2022506)------------------------------
% 7.56/2.04 % (2022506)------------------------------
% 7.56/2.04 % (2022512)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1519274089:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 7.56/2.04 % (2022512)Refutation not found, incomplete strategy
% 7.56/2.04 % (2022512)------------------------------
% 7.56/2.04 % (2022512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.56/2.04 % (2022512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/2.04 % (2022512)CaDiCaL version: 2.1.3
% 7.56/2.04 % (2022512)Termination reason: Refutation not found, incomplete strategy
% 7.56/2.04 % (2022512)Time elapsed: 0.001 s
% 7.56/2.04 % (2022512)Peak memory usage: 88 MB
% 7.56/2.04 % (2022513)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=41050893:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.56/2.04 % (2022478)Also succeeded, but the first one will report.
% 7.56/2.04 % (2022479)Refutation found. Thanks to Tanya!
% 7.56/2.04 % SZS status Theorem for theBenchmark
% 7.56/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 9.01/2.24 % (2022479)------------------------------
% 9.01/2.24 % (2022479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.01/2.24 % (2022479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/2.24 % (2022479)CaDiCaL version: 2.1.3
% 9.01/2.24 % (2022479)Termination reason: Refutation
% 9.01/2.24 % (2022479)Time elapsed: 0.786 s
% 9.01/2.24 % (2022479)Peak memory usage: 131 MB
% 9.01/2.24 % (2022479)Instructions burned: 1188 (million)
% 9.01/2.24 % (2022479)------------------------------
% 9.01/2.24 % (2022479)------------------------------
% 9.01/2.24 % (2022473)Success in time 1.192 s
% 9.01/2.24 % Vampire exiting
%------------------------------------------------------------------------------