%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE039+2 : 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 : n015.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 11:40:10 AM UTC 2026
% Result : Theorem 12.21s 2.77s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 18
% Syntax : Number of formulae : 107 ( 72 unt; 5 def)
% Number of atoms : 145 ( 63 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 34 ~; 29 |; 3 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 89 !; 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(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
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',right_distributivity) ).
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',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction_left) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction_right) ).
fof(f17,conjecture,
! [X0] :
( leq(star(star(X0)),star(X0))
& leq(star(X0),star(star(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( leq(star(star(X0)),star(X0))
& leq(star(X0),star(star(X0))) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f20,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f21,plain,
? [X0] :
( ~ leq(star(star(X0)),star(X0))
| ~ leq(star(X0),star(star(X0))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
( ~ leq(star(star(sK0)),star(sK0))
| ~ leq(star(sK0),star(star(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
fof(f24,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
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,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
( ~ leq(star(star(sK0)),star(sK0))
| ~ leq(star(sK0),star(star(sK0))) ),
inference(cnf_transformation,[],[f23]) ).
fof(f42,definition,
sF1 = star(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f43,plain,
star(sK0) = sF1,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF2 = star(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f45,plain,
star(sF1) = sF2,
inference(reorient_equations,[],[f44]) ).
fof(f46,plain,
( ~ leq(sF2,sF1)
| ~ leq(sF1,sF2) ),
inference(definition_folding,[],[f41,f45,f43,f43,f43,f45,f43]) ).
fof(f48,definition,
( spl3_1
<=> leq(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f50,plain,
( ~ leq(sF1,sF2)
| spl3_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,definition,
( spl3_2
<=> leq(sF2,sF1) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f54,plain,
( ~ leq(sF2,sF1)
| spl3_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f46,f52,f48]) ).
fof(f58,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f38,f35]) ).
fof(f61,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(forward_demodulation,[],[f58,f25]) ).
fof(f62,plain,
sF2 = addition(one,addition(multiplication(sF2,sF1),sF2)),
inference(superposition,[],[f61,f45]) ).
fof(f63,plain,
sF1 = addition(one,addition(multiplication(sF1,sK0),sF1)),
inference(superposition,[],[f61,f43]) ).
fof(f67,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f37,f35]) ).
fof(f70,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f67,f25]) ).
fof(f71,plain,
sF2 = addition(one,addition(multiplication(sF1,sF2),sF2)),
inference(superposition,[],[f70,f45]) ).
fof(f135,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f32,f30]) ).
fof(f136,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f32,f30]) ).
fof(f158,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f25,f27]) ).
fof(f159,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f36,f27]) ).
fof(f163,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f159]) ).
fof(f174,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f158,f70]) ).
fof(f177,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f36,f158]) ).
fof(f179,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f177]) ).
fof(f187,plain,
sF2 = addition(one,sF2),
inference(superposition,[],[f174,f45]) ).
fof(f188,plain,
sF1 = addition(one,sF1),
inference(superposition,[],[f174,f43]) ).
fof(f194,plain,
! [X0] : addition(sF1,X0) = addition(one,addition(sF1,X0)),
inference(superposition,[],[f25,f188]) ).
fof(f198,plain,
! [X0] : addition(sF2,X0) = addition(one,addition(sF2,X0)),
inference(superposition,[],[f25,f187]) ).
fof(f216,plain,
sF2 = addition(one,addition(sF2,multiplication(sF1,sF2))),
inference(superposition,[],[f71,f24]) ).
fof(f223,plain,
sF2 = addition(sF2,multiplication(sF1,sF2)),
inference(forward_demodulation,[],[f216,f198]) ).
fof(f226,plain,
sF2 = multiplication(addition(one,sF1),sF2),
inference(forward_demodulation,[],[f223,f136]) ).
fof(f237,plain,
sF2 = multiplication(sF1,sF2),
inference(forward_demodulation,[],[f226,f188]) ).
fof(f253,plain,
sF2 = addition(one,addition(sF2,multiplication(sF2,sF1))),
inference(superposition,[],[f62,f24]) ).
fof(f268,plain,
sF2 = addition(sF2,multiplication(sF2,sF1)),
inference(forward_demodulation,[],[f253,f198]) ).
fof(f354,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f39,f27]) ).
fof(f361,plain,
sF1 = addition(one,addition(sF1,multiplication(sF1,sK0))),
inference(superposition,[],[f63,f24]) ).
fof(f376,plain,
sF1 = addition(sF1,multiplication(sF1,sK0)),
inference(forward_demodulation,[],[f361,f194]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X1)
| leq(multiplication(X0,star(X2)),X1) ),
inference(superposition,[],[f40,f24]) ).
fof(f398,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f31,f29]) ).
fof(f399,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f31,f29]) ).
fof(f416,plain,
multiplication(sF1,addition(one,sF2)) = addition(sF1,sF2),
inference(superposition,[],[f398,f237]) ).
fof(f436,plain,
multiplication(sF1,sF2) = addition(sF1,sF2),
inference(forward_demodulation,[],[f416,f187]) ).
fof(f444,plain,
sF2 = addition(sF1,sF2),
inference(forward_demodulation,[],[f436,f237]) ).
fof(f452,plain,
leq(sF1,sF2),
inference(superposition,[],[f179,f444]) ).
fof(f459,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f452,f50]) ).
fof(f460,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f471,plain,
! [X0] : multiplication(addition(X0,one),X0) = multiplication(X0,addition(X0,one)),
inference(superposition,[],[f135,f399]) ).
fof(f800,plain,
sF2 = multiplication(sF2,addition(one,sF1)),
inference(superposition,[],[f398,f268]) ).
fof(f812,definition,
( spl3_16
<=> sF2 = multiplication(sF2,sF1) ),
introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).
fof(f813,plain,
( sF2 = multiplication(sF2,sF1)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f816,plain,
sF2 = multiplication(sF2,sF1),
inference(forward_demodulation,[],[f800,f188]) ).
fof(f821,plain,
spl3_16,
inference(avatar_split_clause,[],[f816,f812]) ).
fof(f1041,plain,
( ~ leq(sF1,sF1)
| leq(multiplication(sF1,star(sK0)),sF1) ),
inference(superposition,[],[f387,f376]) ).
fof(f1058,plain,
leq(multiplication(sF1,star(sK0)),sF1),
inference(forward_subsumption_resolution,[],[f1041,f163]) ).
fof(f1062,plain,
leq(multiplication(sF1,sF1),sF1),
inference(forward_demodulation,[],[f1058,f43]) ).
fof(f1072,plain,
sF1 = addition(multiplication(sF1,sF1),sF1),
inference(resolution,[],[f1062,f35]) ).
fof(f1073,plain,
sF1 = multiplication(addition(sF1,one),sF1),
inference(forward_demodulation,[],[f1072,f135]) ).
fof(f1074,plain,
sF1 = multiplication(sF1,addition(sF1,one)),
inference(forward_demodulation,[],[f1073,f471]) ).
fof(f1076,plain,
sF1 = multiplication(sF1,addition(one,sF1)),
inference(superposition,[],[f1074,f24]) ).
fof(f1098,plain,
sF1 = multiplication(sF1,sF1),
inference(forward_demodulation,[],[f1076,f188]) ).
fof(f1676,plain,
( leq(multiplication(star(sF1),sF1),sF1)
| ~ leq(sF1,sF1) ),
inference(superposition,[],[f354,f1098]) ).
fof(f1692,plain,
leq(multiplication(star(sF1),sF1),sF1),
inference(forward_subsumption_resolution,[],[f1676,f163]) ).
fof(f1702,plain,
leq(multiplication(sF2,sF1),sF1),
inference(forward_demodulation,[],[f1692,f45]) ).
fof(f1706,plain,
( leq(sF2,sF1)
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1702,f813]) ).
fof(f1717,plain,
( $false
| spl3_2
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f1706,f54]) ).
fof(f1718,plain,
( spl3_2
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1717]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s8,plain,
spl3_1,
inference(sat_conversion,[],[f460]) ).
cnf(s15,plain,
spl3_16,
inference(sat_conversion,[],[f821]) ).
cnf(s23,plain,
( spl3_2
| ~ spl3_16 ),
inference(sat_conversion,[],[f1718]) ).
cnf(s26,plain,
spl3_2,
inference(rat,[],[s23,s15]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s1,s26,s8]) ).
fof(f1720,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE039+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n015.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:08:45 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 12.21/2.76 % (1653254)Detected formulas, will run a generic FOF schedule.
% 12.21/2.76 % (1653303)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2087548427:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.21/2.76 % (1653303)Refutation not found, incomplete strategy
% 12.21/2.76 % (1653303)------------------------------
% 12.21/2.76 % (1653303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653303)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653303)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.76 % (1653303)Time elapsed: 0.001 s
% 12.21/2.76 % (1653303)Peak memory usage: 88 MB
% 12.21/2.76 % (1653301)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=1816548704:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.21/2.76 % (1653306)dis-21_1_sil=8000:lcm=predicate:random_seed=553819050: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)
% 12.21/2.76 % (1653306)Refutation not found, incomplete strategy
% 12.21/2.76 % (1653306)------------------------------
% 12.21/2.76 % (1653306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653306)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653306)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.76 % (1653306)Time elapsed: 0.003 s
% 12.21/2.76 % (1653306)Peak memory usage: 88 MB
% 12.21/2.76 % (1653306)Instructions burned: 1 (million)
% 12.21/2.76 % (1653302)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=3040598075:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.21/2.76 % (1653300)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=434411987:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.21/2.76 % (1653305)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4137788819:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.21/2.76 % (1653304)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=669719492:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.21/2.76 % (1653304)Instruction limit reached!
% 12.21/2.76 % (1653304)------------------------------
% 12.21/2.76 % (1653304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653304)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653304)Termination reason: Instruction limit
% 12.21/2.76 % (1653304)Termination phase: Saturation
% 12.21/2.76 % (1653304)Time elapsed: 0.112 s
% 12.21/2.76 % (1653304)Peak memory usage: 88 MB
% 12.21/2.76 % (1653304)Instructions burned: 119 (million)
% 12.21/2.76 % (1653305)Instruction limit reached!
% 12.21/2.76 % (1653305)------------------------------
% 12.21/2.76 % (1653305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653305)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653305)Termination reason: Instruction limit
% 12.21/2.76 % (1653305)Termination phase: Saturation
% 12.21/2.76 % (1653305)Time elapsed: 0.137 s
% 12.21/2.76 % (1653305)Peak memory usage: 90 MB
% 12.21/2.76 % (1653305)Instructions burned: 139 (million)
% 12.21/2.76 % (1653303)------------------------------
% 12.21/2.76 % (1653303)------------------------------
% 12.21/2.76 % (1653318)lrs+10_1_sil=8000:sp=occurrence:random_seed=4153664595:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.21/2.76 % (1653321)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4028048503:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.21/2.76 % (1653321)Refutation not found, incomplete strategy
% 12.21/2.76 % (1653321)------------------------------
% 12.21/2.76 % (1653321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653321)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653321)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.76 % (1653321)Time elapsed: 0.003 s
% 12.21/2.76 % (1653321)Peak memory usage: 88 MB
% 12.21/2.76 % (1653321)Instructions burned: 1 (million)
% 12.21/2.76 % (1653320)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3160178659:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.21/2.76 % (1653320)Refutation not found, incomplete strategy
% 12.21/2.76 % (1653320)------------------------------
% 12.21/2.76 % (1653320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653320)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653320)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.76 % (1653320)Time elapsed: 0.003 s
% 12.21/2.76 % (1653320)Peak memory usage: 89 MB
% 12.21/2.76 % (1653320)Instructions burned: 1 (million)
% 12.21/2.76 % (1653306)------------------------------
% 12.21/2.76 % (1653306)------------------------------
% 12.21/2.76 % (1653318)Instruction limit reached!
% 12.21/2.76 % (1653318)------------------------------
% 12.21/2.76 % (1653318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653318)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653318)Termination reason: Instruction limit
% 12.21/2.76 % (1653318)Termination phase: Saturation
% 12.21/2.76 % (1653318)Time elapsed: 0.153 s
% 12.21/2.76 % (1653318)Peak memory usage: 91 MB
% 12.21/2.76 % (1653318)Instructions burned: 286 (million)
% 12.21/2.76 % (1653329)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1784599174:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 12.21/2.76 % (1653329)Refutation not found, incomplete strategy
% 12.21/2.76 % (1653329)------------------------------
% 12.21/2.76 % (1653329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653329)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653329)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.76 % (1653329)Time elapsed: 0.001 s
% 12.21/2.76 % (1653329)Peak memory usage: 88 MB
% 12.21/2.76 % (1653329)Instructions burned: 1 (million)
% 12.21/2.76 % (1653328)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=4076284718:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 12.21/2.76 % (1653321)------------------------------
% 12.21/2.76 % (1653321)------------------------------
% 12.21/2.76 % (1653320)------------------------------
% 12.21/2.76 % (1653320)------------------------------
% 12.21/2.76 % (1653328)Instruction limit reached!
% 12.21/2.76 % (1653328)------------------------------
% 12.21/2.76 % (1653328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653328)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653328)Termination reason: Instruction limit
% 12.21/2.76 % (1653328)Termination phase: Saturation
% 12.21/2.76 % (1653328)Time elapsed: 0.170 s
% 12.21/2.76 % (1653328)Peak memory usage: 91 MB
% 12.21/2.76 % (1653328)Instructions burned: 248 (million)
% 12.21/2.76 % (1653329)------------------------------
% 12.21/2.76 % (1653329)------------------------------
% 12.21/2.76 % (1653302)Refutation not found, incomplete strategy
% 12.21/2.76 % (1653302)------------------------------
% 12.21/2.76 % (1653302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653302)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653302)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.76 % (1653302)Time elapsed: 0.915 s
% 12.21/2.76 % (1653302)Peak memory usage: 127 MB
% 12.21/2.76 % (1653302)Instructions burned: 895 (million)
% 12.21/2.76 % (1653336)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=563082450:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 12.21/2.76 % (1653335)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3011087100:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 12.21/2.76 % (1653336)Refutation not found, incomplete strategy
% 12.21/2.76 % (1653336)------------------------------
% 12.21/2.76 % (1653336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653336)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653336)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.76 % (1653336)Time elapsed: 0.003 s
% 12.21/2.76 % (1653336)Peak memory usage: 88 MB
% 12.21/2.76 % (1653336)Instructions burned: 1 (million)
% 12.21/2.76 % (1653337)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1140139414:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 12.21/2.76 % (1653337)Refutation not found, incomplete strategy
% 12.21/2.76 % (1653337)------------------------------
% 12.21/2.76 % (1653337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.76 % (1653337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.76 % (1653337)CaDiCaL version: 2.1.3
% 12.21/2.76 % (1653337)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.76 % (1653337)Time elapsed: 0.002 s
% 12.21/2.76 % (1653337)Peak memory usage: 88 MB
% 12.21/2.76 % (1653339)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1922149523:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 12.21/2.77 % (1653339)Refutation not found, incomplete strategy
% 12.21/2.77 % (1653339)------------------------------
% 12.21/2.77 % (1653339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.77 % (1653339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.77 % (1653339)CaDiCaL version: 2.1.3
% 12.21/2.77 % (1653339)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.77 % (1653339)Time elapsed: 0.002 s
% 12.21/2.77 % (1653339)Peak memory usage: 88 MB
% 12.21/2.77 % (1653302)------------------------------
% 12.21/2.77 % (1653302)------------------------------
% 12.21/2.77 % (1653300)First to succeed.
% 12.21/2.77 % (1653300)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1653254"
% 12.21/2.77 % (1653301)Also succeeded, but the first one will report.
% 12.21/2.77 % (1653346)lrs+10_1_sil=8000:sp=occurrence:random_seed=370438337:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 12.21/2.77 % (1653336)------------------------------
% 12.21/2.77 % (1653336)------------------------------
% 12.21/2.77 % (1653337)------------------------------
% 12.21/2.77 % (1653337)------------------------------
% 12.21/2.77 % (1653339)------------------------------
% 12.21/2.77 % (1653339)------------------------------
% 12.21/2.77 % (1653348)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3538748415:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 12.21/2.77 % (1653348)Refutation not found, incomplete strategy
% 12.21/2.77 % (1653348)------------------------------
% 12.21/2.77 % (1653348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.21/2.77 % (1653348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.21/2.77 % (1653348)CaDiCaL version: 2.1.3
% 12.21/2.77 % (1653348)Termination reason: Refutation not found, incomplete strategy
% 12.21/2.77 % (1653348)Time elapsed: 0.002 s
% 12.21/2.77 % (1653348)Peak memory usage: 88 MB
% 12.21/2.77 % (1653346)Also succeeded, but the first one will report.
% 12.21/2.77 % (1653300)Refutation found. Thanks to Tanya!
% 12.21/2.77 % SZS status Theorem for theBenchmark
% 12.21/2.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/3.05 % (1653300)------------------------------
% 0.18/3.05 % (1653300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/3.05 % (1653300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/3.05 % (1653300)CaDiCaL version: 2.1.3
% 0.18/3.05 % (1653300)Termination reason: Refutation
% 0.18/3.05 % (1653300)Time elapsed: 1.179 s
% 0.18/3.05 % (1653300)Peak memory usage: 131 MB
% 0.18/3.05 % (1653300)Instructions burned: 1139 (million)
% 0.18/3.05 % (1653300)------------------------------
% 0.18/3.05 % (1653300)------------------------------
% 0.18/3.05 % (1653254)Success in time 1.823 s
% 0.18/3.05 % Vampire exiting
%------------------------------------------------------------------------------