%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE143+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:40:27 AM UTC 2026
% Result : Theorem 16.01s 4.41s
% Output : Refutation 24.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 76 ( 60 unt; 0 def)
% Number of atoms : 94 ( 76 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 15 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 132 ( 131 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence) ).
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(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f10,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f12,axiom,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold2) ).
fof(f13,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X2),X1),X2)
=> leq(multiplication(star(X0),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction1) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f17,axiom,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isolation) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f19,conjecture,
! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = strong_iteration(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = strong_iteration(X0),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0] : strong_iteration(X0) != multiplication(strong_iteration(X0),strong_iteration(X0)),
inference(ennf_transformation,[],[f20]) ).
fof(f24,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X1),X2)
| ~ leq(addition(multiplication(X0,X2),X1),X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f25,plain,
strong_iteration(sK0) != multiplication(strong_iteration(sK0),strong_iteration(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
fof(f26,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f27,plain,
strong_iteration(sK0) != multiplication(strong_iteration(sK0),strong_iteration(sK0)),
inference(cnf_transformation,[],[f25]) ).
fof(f28,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f31,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f36,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f37,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f38,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X2),X1),X2)
| leq(multiplication(star(X0),X1),X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f41,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f43,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f44,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f45,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f46,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f47,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
inference(forward_demodulation,[],[f33,f36]) ).
fof(f67,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f28,f45]) ).
fof(f90,plain,
! [X2,X0,X1] : multiplication(addition(one,multiplication(X0,X1)),X2) = addition(X2,multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f67,f30]) ).
fof(f99,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f35,f29]) ).
fof(f101,plain,
! [X0,X1] : addition(one,addition(multiplication(X0,strong_iteration(X0)),X1)) = addition(strong_iteration(X0),X1),
inference(superposition,[],[f35,f47]) ).
fof(f117,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f29,f46]) ).
fof(f137,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f35,f34]) ).
fof(f152,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),strong_iteration(X0)),
inference(superposition,[],[f137,f31]) ).
fof(f160,plain,
! [X0] : strong_iteration(X0) = addition(strong_iteration(X0),star(X0)),
inference(forward_demodulation,[],[f152,f36]) ).
fof(f255,plain,
! [X0] : addition(one,multiplication(X0,strong_iteration(X0))) = addition(strong_iteration(X0),multiplication(X0,strong_iteration(X0))),
inference(superposition,[],[f101,f34]) ).
fof(f272,plain,
! [X0] : addition(one,multiplication(X0,strong_iteration(X0))) = multiplication(addition(one,X0),strong_iteration(X0)),
inference(forward_demodulation,[],[f255,f67]) ).
fof(f277,plain,
! [X0] : strong_iteration(X0) = multiplication(addition(one,X0),strong_iteration(X0)),
inference(forward_demodulation,[],[f272,f47]) ).
fof(f293,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,[],[f99,f28]) ).
fof(f394,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),addition(X1,X2)),multiplication(multiplication(strong_iteration(X0),zero),X2)) = addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),X2)),
inference(superposition,[],[f293,f31]) ).
fof(f431,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),X2)) = addition(multiplication(star(X0),addition(X1,X2)),multiplication(strong_iteration(X0),multiplication(zero,X2))),
inference(forward_demodulation,[],[f394,f30]) ).
fof(f465,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),X2)) = addition(multiplication(strong_iteration(X0),multiplication(zero,X2)),multiplication(star(X0),addition(X1,X2))),
inference(forward_demodulation,[],[f431,f36]) ).
fof(f489,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),X2)) = addition(multiplication(strong_iteration(X0),zero),multiplication(star(X0),addition(X1,X2))),
inference(forward_demodulation,[],[f465,f37]) ).
fof(f1856,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f40,f34]) ).
fof(f2374,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| addition(multiplication(star(X0),multiplication(X0,X1)),X1) = X1 ),
inference(resolution,[],[f1856,f43]) ).
fof(f2386,plain,
! [X0,X1] :
( addition(X1,multiplication(star(X0),multiplication(X0,X1))) = X1
| ~ leq(multiplication(X0,X1),X1) ),
inference(forward_demodulation,[],[f2374,f36]) ).
fof(f2388,plain,
! [X0,X1] :
( multiplication(addition(one,multiplication(star(X0),X0)),X1) = X1
| ~ leq(multiplication(X0,X1),X1) ),
inference(forward_demodulation,[],[f2386,f90]) ).
fof(f2389,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f2388,f41]) ).
fof(f2803,plain,
! [X0,X1] :
( multiplication(star(X0),X1) = X1
| addition(multiplication(X0,X1),X1) != X1 ),
inference(resolution,[],[f2389,f44]) ).
fof(f2819,plain,
! [X0,X1] :
( addition(X1,multiplication(X0,X1)) != X1
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f2803,f36]) ).
fof(f2822,plain,
! [X0,X1] :
( multiplication(addition(one,X0),X1) != X1
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f2819,f67]) ).
fof(f3697,plain,
! [X0,X1] : addition(multiplication(star(X1),X0),multiplication(strong_iteration(X1),X0)) = addition(multiplication(strong_iteration(X1),zero),multiplication(star(X1),X0)),
inference(superposition,[],[f489,f34]) ).
fof(f3813,plain,
! [X0,X1] : addition(multiplication(strong_iteration(X1),zero),multiplication(star(X1),X0)) = addition(multiplication(strong_iteration(X1),X0),multiplication(star(X1),X0)),
inference(forward_demodulation,[],[f3697,f36]) ).
fof(f3837,plain,
! [X0,X1] : addition(multiplication(strong_iteration(X1),zero),multiplication(star(X1),X0)) = multiplication(addition(strong_iteration(X1),star(X1)),X0),
inference(forward_demodulation,[],[f3813,f28]) ).
fof(f3856,plain,
! [X0,X1] : multiplication(strong_iteration(X1),X0) = addition(multiplication(strong_iteration(X1),zero),multiplication(star(X1),X0)),
inference(forward_demodulation,[],[f3837,f160]) ).
fof(f9707,plain,
! [X0] :
( strong_iteration(X0) != strong_iteration(X0)
| strong_iteration(X0) = multiplication(star(X0),strong_iteration(X0)) ),
inference(superposition,[],[f2822,f277]) ).
fof(f9718,plain,
! [X0] : strong_iteration(X0) = multiplication(star(X0),strong_iteration(X0)),
inference(trivial_inequality_removal,[],[f9707]) ).
fof(f9761,plain,
! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = addition(multiplication(strong_iteration(X0),zero),strong_iteration(X0)),
inference(superposition,[],[f3856,f9718]) ).
fof(f9824,plain,
! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = addition(strong_iteration(X0),multiplication(strong_iteration(X0),zero)),
inference(forward_demodulation,[],[f9761,f36]) ).
fof(f9839,plain,
! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = multiplication(strong_iteration(X0),addition(one,zero)),
inference(forward_demodulation,[],[f9824,f117]) ).
fof(f9844,plain,
! [X0] : multiplication(strong_iteration(X0),strong_iteration(X0)) = multiplication(strong_iteration(X0),one),
inference(forward_demodulation,[],[f9839,f38]) ).
fof(f9845,plain,
! [X0] : strong_iteration(X0) = multiplication(strong_iteration(X0),strong_iteration(X0)),
inference(forward_demodulation,[],[f9844,f46]) ).
fof(f9848,plain,
strong_iteration(sK0) != strong_iteration(sK0),
inference(superposition,[],[f27,f9845]) ).
fof(f9893,plain,
$false,
inference(trivial_inequality_removal,[],[f9848]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE143+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n003.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 13:13:41 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 18.53/3.87 % (521888)Detected formulas, will run a generic FOF schedule.
% 18.53/3.87 % (521899)dis-21_1_sil=8000:lcm=predicate:random_seed=310729527: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)
% 18.53/3.87 % (521899)Refutation not found, incomplete strategy
% 18.53/3.87 % (521899)------------------------------
% 18.53/3.87 % (521899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.53/3.87 % (521899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.87 % (521899)CaDiCaL version: 2.1.3
% 18.53/3.87 % (521899)Termination reason: Refutation not found, incomplete strategy
% 18.53/3.87 % (521899)Time elapsed: 0.002 s
% 18.53/3.87 % (521899)Peak memory usage: 88 MB
% 18.53/3.87 % (521899)Instructions burned: 1 (million)
% 18.53/3.87 % (521896)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3905319577:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.53/3.87 % (521897)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2573158468:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.53/3.87 % (521895)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=3221312901:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.53/3.87 % (521898)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=830979111:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.53/3.87 % (521893)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=3276421568:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.53/3.87 % (521896)Refutation not found, incomplete strategy
% 18.53/3.87 % (521896)------------------------------
% 18.53/3.87 % (521896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.53/3.87 % (521896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.87 % (521896)CaDiCaL version: 2.1.3
% 18.53/3.87 % (521896)Termination reason: Refutation not found, incomplete strategy
% 18.53/3.87 % (521896)Time elapsed: 0.002 s
% 18.53/3.87 % (521896)Peak memory usage: 88 MB
% 18.53/3.87 % (521894)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=2803954525:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.53/3.87 % (521897)Instruction limit reached!
% 18.53/3.87 % (521897)------------------------------
% 18.53/3.87 % (521897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.53/3.87 % (521897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.87 % (521897)CaDiCaL version: 2.1.3
% 18.53/3.87 % (521897)Termination reason: Instruction limit
% 18.53/3.87 % (521897)Termination phase: Saturation
% 18.53/3.87 % (521897)Time elapsed: 0.118 s
% 18.53/3.87 % (521897)Peak memory usage: 89 MB
% 18.53/3.87 % (521897)Instructions burned: 120 (million)
% 18.53/3.87 % (521898)Instruction limit reached!
% 18.53/3.87 % (521898)------------------------------
% 18.53/3.87 % (521898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.53/3.87 % (521898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.87 % (521898)CaDiCaL version: 2.1.3
% 18.53/3.87 % (521898)Termination reason: Instruction limit
% 18.53/3.87 % (521898)Termination phase: Saturation
% 18.53/3.87 % (521898)Time elapsed: 0.137 s
% 18.53/3.87 % (521898)Peak memory usage: 89 MB
% 18.53/3.87 % (521898)Instructions burned: 139 (million)
% 18.53/3.87 % (521899)------------------------------
% 18.53/3.87 % (521899)------------------------------
% 18.53/3.87 % (521896)------------------------------
% 18.53/3.87 % (521896)------------------------------
% 18.53/3.87 % (521909)lrs+1011_1_sil=32000:sp=occurrence:random_seed=630019041:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 18.53/3.87 % (521907)lrs+10_1_sil=8000:sp=occurrence:random_seed=3996825967:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 18.53/3.87 % (521908)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2565149943:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 18.53/3.87 % (521908)Instruction limit reached!
% 18.53/3.87 % (521908)------------------------------
% 18.53/3.87 % (521908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521908)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521908)Termination reason: Instruction limit
% 16.01/4.41 % (521908)Termination phase: Saturation
% 16.01/4.41 % (521908)Time elapsed: 0.167 s
% 16.01/4.41 % (521908)Peak memory usage: 91 MB
% 16.01/4.41 % (521908)Instructions burned: 157 (million)
% 16.01/4.41 % (521909)Instruction limit reached!
% 16.01/4.41 % (521909)------------------------------
% 16.01/4.41 % (521909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521909)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521909)Termination reason: Instruction limit
% 16.01/4.41 % (521909)Termination phase: Saturation
% 16.01/4.41 % (521909)Time elapsed: 0.198 s
% 16.01/4.41 % (521909)Peak memory usage: 92 MB
% 16.01/4.41 % (521909)Instructions burned: 325 (million)
% 16.01/4.41 % (521911)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=3356013274:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 16.01/4.41 % (521907)Instruction limit reached!
% 16.01/4.41 % (521907)------------------------------
% 16.01/4.41 % (521907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521907)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521907)Termination reason: Instruction limit
% 16.01/4.41 % (521907)Termination phase: Saturation
% 16.01/4.41 % (521907)Time elapsed: 0.298 s
% 16.01/4.41 % (521907)Peak memory usage: 91 MB
% 16.01/4.41 % (521907)Instructions burned: 286 (million)
% 16.01/4.41 % (521914)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=153537178:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 16.01/4.41 % (521914)Refutation not found, incomplete strategy
% 16.01/4.41 % (521914)------------------------------
% 16.01/4.41 % (521914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521914)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521914)Termination reason: Refutation not found, incomplete strategy
% 16.01/4.41 % (521914)Time elapsed: 0.001 s
% 16.01/4.41 % (521914)Peak memory usage: 88 MB
% 16.01/4.41 % (521914)Instructions burned: 1 (million)
% 16.01/4.41 % (521915)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=533126615:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 16.01/4.41 % (521895)Refutation not found, incomplete strategy
% 16.01/4.41 % (521895)------------------------------
% 16.01/4.41 % (521895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521895)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521895)Termination reason: Refutation not found, incomplete strategy
% 16.01/4.41 % (521895)Time elapsed: 0.931 s
% 16.01/4.41 % (521895)Peak memory usage: 127 MB
% 16.01/4.41 % (521895)Instructions burned: 883 (million)
% 16.01/4.41 % (521911)Instruction limit reached!
% 16.01/4.41 % (521911)------------------------------
% 16.01/4.41 % (521911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521911)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521911)Termination reason: Instruction limit
% 16.01/4.41 % (521911)Termination phase: Saturation
% 16.01/4.41 % (521911)Time elapsed: 0.250 s
% 16.01/4.41 % (521911)Peak memory usage: 91 MB
% 16.01/4.41 % (521911)Instructions burned: 248 (million)
% 16.01/4.41 % (521917)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1365329271:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 16.01/4.41 % (521917)Refutation not found, incomplete strategy
% 16.01/4.41 % (521917)------------------------------
% 16.01/4.41 % (521917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521917)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521917)Termination reason: Refutation not found, incomplete strategy
% 16.01/4.41 % (521917)Time elapsed: 0.003 s
% 16.01/4.41 % (521917)Peak memory usage: 88 MB
% 16.01/4.41 % (521917)Instructions burned: 1 (million)
% 16.01/4.41 % (521914)------------------------------
% 16.01/4.41 % (521914)------------------------------
% 16.01/4.41 % (521920)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3520356328:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 16.01/4.41 % (521920)Refutation not found, incomplete strategy
% 16.01/4.41 % (521920)------------------------------
% 16.01/4.41 % (521920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521920)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521920)Termination reason: Refutation not found, incomplete strategy
% 16.01/4.41 % (521920)Time elapsed: 0.002 s
% 16.01/4.41 % (521920)Peak memory usage: 88 MB
% 16.01/4.41 % (521922)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1021152790:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 16.01/4.41 % (521922)Refutation not found, incomplete strategy
% 16.01/4.41 % (521922)------------------------------
% 16.01/4.41 % (521922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521922)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521922)Termination reason: Refutation not found, incomplete strategy
% 16.01/4.41 % (521922)Time elapsed: 0.001 s
% 16.01/4.41 % (521922)Peak memory usage: 88 MB
% 16.01/4.41 % (521895)------------------------------
% 16.01/4.41 % (521895)------------------------------
% 16.01/4.41 % (521917)------------------------------
% 16.01/4.41 % (521917)------------------------------
% 16.01/4.41 % (521922)------------------------------
% 16.01/4.41 % (521922)------------------------------
% 16.01/4.41 % (521925)lrs+10_1_sil=8000:sp=occurrence:random_seed=1276188786:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 16.01/4.41 % (521920)------------------------------
% 16.01/4.41 % (521920)------------------------------
% 16.01/4.41 % (521926)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4112282401:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 16.01/4.41 % (521926)Refutation not found, incomplete strategy
% 16.01/4.41 % (521926)------------------------------
% 16.01/4.41 % (521926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521926)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521926)Termination reason: Refutation not found, incomplete strategy
% 16.01/4.41 % (521926)Time elapsed: 0.002 s
% 16.01/4.41 % (521926)Peak memory usage: 88 MB
% 16.01/4.41 % (521927)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1072213875:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 16.01/4.41 % (521929)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3672566366:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 16.01/4.41 % (521929)Refutation not found, incomplete strategy
% 16.01/4.41 % (521929)------------------------------
% 16.01/4.41 % (521929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521929)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521929)Termination reason: Refutation not found, incomplete strategy
% 16.01/4.41 % (521929)Time elapsed: 0.003 s
% 16.01/4.41 % (521929)Peak memory usage: 89 MB
% 16.01/4.41 % (521929)Instructions burned: 1 (million)
% 16.01/4.41 % (521926)------------------------------
% 16.01/4.41 % (521926)------------------------------
% 16.01/4.41 % (521929)------------------------------
% 16.01/4.41 % (521929)------------------------------
% 16.01/4.41 % (521933)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1309468750:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 16.01/4.41 % (521925)Instruction limit reached!
% 16.01/4.41 % (521925)------------------------------
% 16.01/4.41 % (521925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521925)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521925)Termination reason: Instruction limit
% 16.01/4.41 % (521925)Termination phase: Saturation
% 16.01/4.41 % (521925)Time elapsed: 0.909 s
% 16.01/4.41 % (521925)Peak memory usage: 97 MB
% 16.01/4.41 % (521925)Instructions burned: 907 (million)
% 16.01/4.41 % (521934)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=982446799:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 16.01/4.41 % (521894)First to succeed.
% 16.01/4.41 % (521894)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-521888"
% 16.01/4.41 % (521936)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4122321162:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 16.01/4.41 % (521936)Instruction limit reached!
% 16.01/4.41 % (521936)------------------------------
% 16.01/4.41 % (521936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521936)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521936)Termination reason: Instruction limit
% 16.01/4.41 % (521936)Termination phase: Saturation
% 16.01/4.41 % (521936)Time elapsed: 0.130 s
% 16.01/4.41 % (521936)Peak memory usage: 90 MB
% 16.01/4.41 % (521936)Instructions burned: 125 (million)
% 16.01/4.41 % (521933)Instruction limit reached!
% 16.01/4.41 % (521933)------------------------------
% 16.01/4.41 % (521933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.01/4.41 % (521933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/4.41 % (521933)CaDiCaL version: 2.1.3
% 16.01/4.41 % (521933)Termination reason: Instruction limit
% 16.01/4.41 % (521933)Termination phase: Saturation
% 16.01/4.41 % (521933)Time elapsed: 0.657 s
% 16.01/4.41 % (521933)Peak memory usage: 98 MB
% 16.01/4.41 % (521933)Instructions burned: 593 (million)
% 16.01/4.41 % (521894)Refutation found. Thanks to Tanya!
% 16.01/4.41 % SZS status Theorem for theBenchmark
% 16.01/4.41 % SZS output start Proof for theBenchmark
% See solution above
% 24.88/4.65 % (521894)------------------------------
% 24.88/4.65 % (521894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.88/4.65 % (521894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.88/4.65 % (521894)CaDiCaL version: 2.1.3
% 24.88/4.65 % (521894)Termination reason: Refutation
% 24.88/4.65 % (521894)Time elapsed: 2.662 s
% 24.88/4.65 % (521894)Peak memory usage: 145 MB
% 24.88/4.65 % (521894)Instructions burned: 2533 (million)
% 24.88/4.65 % (521894)------------------------------
% 24.88/4.65 % (521894)------------------------------
% 24.88/4.65 % (521888)Success in time 3.417 s
% 24.88/4.65 % Vampire exiting
%------------------------------------------------------------------------------