%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE147+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 : n018.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 11:40:28 AM UTC 2026
% Result : Theorem 12.64s 2.47s
% Output : Refutation 13.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 81 ( 62 unt; 6 def)
% Number of atoms : 102 ( 61 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 17 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 67 !; 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(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
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',distributivity2) ).
fof(f12,axiom,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',star_induction1) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f19,conjecture,
! [X0,X1] : strong_iteration(multiplication(star(X0),X1)) = multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] : strong_iteration(multiplication(star(X0),X1)) = multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X1),X2)
| ~ leq(addition(multiplication(X0,X2),X1),X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f24,plain,
? [X0,X1] : strong_iteration(multiplication(star(X0),X1)) != multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),
inference(ennf_transformation,[],[f20]) ).
fof(f25,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f26,plain,
strong_iteration(multiplication(star(sK0),sK1)) != multiplication(star(sK1),strong_iteration(multiplication(star(sK0),sK1))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f24]) ).
fof(f27,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f30,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f33,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X2),X1),X2)
| leq(multiplication(star(X0),X1),X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f44,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
strong_iteration(multiplication(star(sK0),sK1)) != multiplication(star(sK1),strong_iteration(multiplication(star(sK0),sK1))),
inference(cnf_transformation,[],[f26]) ).
fof(f47,definition,
sF2 = star(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f48,plain,
star(sK0) = sF2,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF3 = multiplication(sF2,sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f50,plain,
multiplication(sF2,sK1) = sF3,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF4 = strong_iteration(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f52,plain,
strong_iteration(sF3) = sF4,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF5 = star(sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f54,plain,
star(sK1) = sF5,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF6 = multiplication(sF5,sF4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f56,plain,
multiplication(sF5,sF4) = sF6,
inference(reorient_equations,[],[f55]) ).
fof(f57,plain,
sF4 != sF6,
inference(definition_folding,[],[f46,f56,f52,f50,f48,f54,f52,f50,f48]) ).
fof(f65,plain,
sF4 = addition(multiplication(sF3,sF4),one),
inference(superposition,[],[f41,f52]) ).
fof(f68,plain,
sF4 = addition(one,multiplication(sF3,sF4)),
inference(forward_demodulation,[],[f65,f27]) ).
fof(f69,plain,
sF5 = addition(one,multiplication(sF5,sK1)),
inference(superposition,[],[f38,f54]) ).
fof(f70,plain,
sF2 = addition(one,multiplication(sF2,sK0)),
inference(superposition,[],[f38,f48]) ).
fof(f158,plain,
! [X0,X1] : addition(strong_iteration(X0),X1) = addition(multiplication(X0,strong_iteration(X0)),addition(one,X1)),
inference(superposition,[],[f28,f41]) ).
fof(f162,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f27,f28]) ).
fof(f163,plain,
! [X0,X1] : addition(strong_iteration(X0),X1) = addition(one,addition(X1,multiplication(X0,strong_iteration(X0)))),
inference(forward_demodulation,[],[f158,f162]) ).
fof(f213,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f35,f33]) ).
fof(f226,plain,
multiplication(addition(one,sF2),sK1) = addition(sK1,sF3),
inference(superposition,[],[f213,f50]) ).
fof(f228,plain,
multiplication(addition(one,sF5),sF4) = addition(sF4,sF6),
inference(superposition,[],[f213,f56]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f39,f27]) ).
fof(f277,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f45,f30]) ).
fof(f278,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f28,f30]) ).
fof(f285,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f277]) ).
fof(f389,plain,
sF5 = addition(one,sF5),
inference(superposition,[],[f278,f69]) ).
fof(f429,plain,
sF2 = addition(one,sF2),
inference(superposition,[],[f278,f70]) ).
fof(f998,plain,
! [X0,X1] : addition(strong_iteration(X1),multiplication(X0,strong_iteration(X1))) = addition(one,multiplication(addition(X0,X1),strong_iteration(X1))),
inference(superposition,[],[f163,f35]) ).
fof(f1025,plain,
! [X0,X1] : addition(one,multiplication(addition(X0,X1),strong_iteration(X1))) = multiplication(addition(one,X0),strong_iteration(X1)),
inference(forward_demodulation,[],[f998,f213]) ).
fof(f1043,definition,
( spl7_19
<=> leq(sF6,sF4) ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
fof(f1044,plain,
( leq(sF6,sF4)
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1045,plain,
( ~ leq(sF6,sF4)
| spl7_19 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1369,plain,
multiplication(sF5,sF4) = addition(sF4,sF6),
inference(superposition,[],[f228,f389]) ).
fof(f1410,plain,
sF6 = addition(sF4,sF6),
inference(forward_demodulation,[],[f1369,f56]) ).
fof(f1518,plain,
! [X0,X1] :
( ~ leq(multiplication(addition(one,X0),X1),X1)
| leq(multiplication(star(X0),X1),X1) ),
inference(superposition,[],[f254,f213]) ).
fof(f6031,plain,
multiplication(sF2,sK1) = addition(sK1,sF3),
inference(superposition,[],[f226,f429]) ).
fof(f6092,plain,
sF3 = addition(sK1,sF3),
inference(forward_demodulation,[],[f6031,f50]) ).
fof(f6208,plain,
addition(one,multiplication(sF3,strong_iteration(sF3))) = multiplication(addition(one,sK1),strong_iteration(sF3)),
inference(superposition,[],[f1025,f6092]) ).
fof(f6213,plain,
addition(one,multiplication(sF3,sF4)) = multiplication(addition(one,sK1),sF4),
inference(forward_demodulation,[],[f6208,f52]) ).
fof(f6224,plain,
sF4 = multiplication(addition(one,sK1),sF4),
inference(forward_demodulation,[],[f6213,f68]) ).
fof(f6225,plain,
( ~ leq(sF4,sF4)
| leq(multiplication(star(sK1),sF4),sF4) ),
inference(superposition,[],[f1518,f6224]) ).
fof(f6274,plain,
leq(multiplication(star(sK1),sF4),sF4),
inference(forward_subsumption_resolution,[],[f6225,f285]) ).
fof(f6285,plain,
leq(multiplication(sF5,sF4),sF4),
inference(forward_demodulation,[],[f6274,f54]) ).
fof(f6291,plain,
leq(sF6,sF4),
inference(forward_demodulation,[],[f6285,f56]) ).
fof(f6295,plain,
( $false
| spl7_19 ),
inference(forward_subsumption_resolution,[],[f6291,f1045]) ).
fof(f6296,plain,
spl7_19,
inference(avatar_contradiction_clause,[],[f6295]) ).
fof(f6350,plain,
( sF4 = addition(sF6,sF4)
| ~ spl7_19 ),
inference(resolution,[],[f1044,f44]) ).
fof(f6351,plain,
( sF4 = addition(sF4,sF6)
| ~ spl7_19 ),
inference(forward_demodulation,[],[f6350,f27]) ).
fof(f6352,plain,
( sF4 = sF6
| ~ spl7_19 ),
inference(superposition,[],[f6351,f1410]) ).
fof(f6384,plain,
( $false
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f6352,f57]) ).
fof(f6385,plain,
~ spl7_19,
inference(avatar_contradiction_clause,[],[f6384]) ).
cnf(s41,plain,
spl7_19,
inference(sat_conversion,[],[f6296]) ).
cnf(s46,plain,
~ spl7_19,
inference(sat_conversion,[],[f6385]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s41,s46]) ).
fof(f6392,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE147+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:14:54 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 10.16/2.05 % (2342776)Detected formulas, will run a generic FOF schedule.
% 10.16/2.05 % (2342786)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2587898991:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.16/2.05 % (2342783)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=1549294445:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.16/2.05 % (2342781)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=3166262770:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.16/2.05 % (2342785)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2828154:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.16/2.05 % (2342784)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2443813454:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.16/2.05 % (2342787)dis-21_1_sil=8000:lcm=predicate:random_seed=807185102: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)
% 10.16/2.05 % (2342782)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=754729612:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.16/2.05 % (2342784)Refutation not found, incomplete strategy
% 10.16/2.05 % (2342784)------------------------------
% 10.16/2.05 % (2342784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.05 % (2342784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.05 % (2342784)CaDiCaL version: 2.1.3
% 10.16/2.05 % (2342784)Termination reason: Refutation not found, incomplete strategy
% 10.16/2.05 % (2342784)Time elapsed: 0.001 s
% 10.16/2.05 % (2342784)Peak memory usage: 88 MB
% 10.16/2.05 % (2342787)Refutation not found, incomplete strategy
% 10.16/2.05 % (2342787)------------------------------
% 10.16/2.05 % (2342787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.05 % (2342787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.05 % (2342787)CaDiCaL version: 2.1.3
% 10.16/2.05 % (2342787)Termination reason: Refutation not found, incomplete strategy
% 10.16/2.05 % (2342787)Time elapsed: 0.002 s
% 10.16/2.05 % (2342787)Peak memory usage: 88 MB
% 10.16/2.05 % (2342787)Instructions burned: 1 (million)
% 10.16/2.05 % (2342785)Instruction limit reached!
% 10.16/2.05 % (2342785)------------------------------
% 10.16/2.05 % (2342785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.05 % (2342785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.05 % (2342785)CaDiCaL version: 2.1.3
% 10.16/2.05 % (2342785)Termination reason: Instruction limit
% 10.16/2.05 % (2342785)Termination phase: Saturation
% 10.16/2.05 % (2342785)Time elapsed: 0.071 s
% 10.16/2.05 % (2342785)Peak memory usage: 89 MB
% 10.16/2.05 % (2342785)Instructions burned: 120 (million)
% 10.16/2.05 % (2342786)Instruction limit reached!
% 10.16/2.05 % (2342786)------------------------------
% 10.16/2.05 % (2342786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.05 % (2342786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.05 % (2342786)CaDiCaL version: 2.1.3
% 10.16/2.05 % (2342786)Termination reason: Instruction limit
% 10.16/2.05 % (2342786)Termination phase: Saturation
% 10.16/2.05 % (2342786)Time elapsed: 0.079 s
% 10.16/2.05 % (2342786)Peak memory usage: 89 MB
% 10.16/2.05 % (2342786)Instructions burned: 140 (million)
% 10.16/2.05 % (2342795)lrs+10_1_sil=8000:sp=occurrence:random_seed=965353554:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.16/2.05 % (2342796)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3390898882:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.16/2.05 % (2342784)------------------------------
% 10.16/2.05 % (2342784)------------------------------
% 10.16/2.05 % (2342787)------------------------------
% 10.16/2.05 % (2342787)------------------------------
% 10.16/2.05 % (2342796)Instruction limit reached!
% 10.16/2.05 % (2342796)------------------------------
% 10.16/2.05 % (2342796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.05 % (2342796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342796)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342796)Termination reason: Instruction limit
% 12.64/2.47 % (2342796)Termination phase: Saturation
% 12.64/2.47 % (2342796)Time elapsed: 0.075 s
% 12.64/2.47 % (2342796)Peak memory usage: 91 MB
% 12.64/2.47 % (2342796)Instructions burned: 159 (million)
% 12.64/2.47 % (2342799)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4128379217:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.64/2.47 % (2342800)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=348073933:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 12.64/2.47 % (2342801)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2794929319:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.64/2.47 % (2342801)Refutation not found, incomplete strategy
% 12.64/2.47 % (2342801)------------------------------
% 12.64/2.47 % (2342801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342801)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342801)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.47 % (2342801)Time elapsed: 0.001 s
% 12.64/2.47 % (2342801)Peak memory usage: 88 MB
% 12.64/2.47 % (2342801)Instructions burned: 1 (million)
% 12.64/2.47 % (2342795)Instruction limit reached!
% 12.64/2.47 % (2342795)------------------------------
% 12.64/2.47 % (2342795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342795)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342795)Termination reason: Instruction limit
% 12.64/2.47 % (2342795)Termination phase: Saturation
% 12.64/2.47 % (2342795)Time elapsed: 0.184 s
% 12.64/2.47 % (2342795)Peak memory usage: 91 MB
% 12.64/2.47 % (2342795)Instructions burned: 286 (million)
% 12.64/2.47 % (2342800)Instruction limit reached!
% 12.64/2.47 % (2342800)------------------------------
% 12.64/2.47 % (2342800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342800)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342800)Termination reason: Instruction limit
% 12.64/2.47 % (2342800)Termination phase: Saturation
% 12.64/2.47 % (2342800)Time elapsed: 0.158 s
% 12.64/2.47 % (2342800)Peak memory usage: 91 MB
% 12.64/2.47 % (2342800)Instructions burned: 249 (million)
% 12.64/2.47 % (2342801)------------------------------
% 12.64/2.47 % (2342801)------------------------------
% 12.64/2.47 % (2342805)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2191415426:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 12.64/2.47 % (2342799)Instruction limit reached!
% 12.64/2.47 % (2342799)------------------------------
% 12.64/2.47 % (2342799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342799)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342799)Termination reason: Instruction limit
% 12.64/2.47 % (2342799)Termination phase: Saturation
% 12.64/2.47 % (2342799)Time elapsed: 0.202 s
% 12.64/2.47 % (2342799)Peak memory usage: 92 MB
% 12.64/2.47 % (2342799)Instructions burned: 325 (million)
% 12.64/2.47 % (2342783)Refutation not found, incomplete strategy
% 12.64/2.47 % (2342783)------------------------------
% 12.64/2.47 % (2342783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342783)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342783)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.47 % (2342783)Time elapsed: 0.598 s
% 12.64/2.47 % (2342783)Peak memory usage: 126 MB
% 12.64/2.47 % (2342783)Instructions burned: 888 (million)
% 12.64/2.47 % (2342808)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2813640887:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 12.64/2.47 % (2342808)Refutation not found, incomplete strategy
% 12.64/2.47 % (2342808)------------------------------
% 12.64/2.47 % (2342808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342808)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342808)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.47 % (2342808)Time elapsed: 0.0000 s
% 12.64/2.47 % (2342808)Peak memory usage: 88 MB
% 12.64/2.47 % (2342807)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1749529560:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.64/2.47 % (2342807)Refutation not found, incomplete strategy
% 12.64/2.47 % (2342807)------------------------------
% 12.64/2.47 % (2342807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342807)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342807)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.47 % (2342807)Time elapsed: 0.001 s
% 12.64/2.47 % (2342807)Peak memory usage: 88 MB
% 12.64/2.47 % (2342807)Instructions burned: 1 (million)
% 12.64/2.47 % (2342809)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2563884994:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 12.64/2.47 % (2342809)Refutation not found, incomplete strategy
% 12.64/2.47 % (2342809)------------------------------
% 12.64/2.47 % (2342809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342809)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342809)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.47 % (2342809)Time elapsed: 0.001 s
% 12.64/2.47 % (2342809)Peak memory usage: 88 MB
% 12.64/2.47 % (2342808)------------------------------
% 12.64/2.47 % (2342808)------------------------------
% 12.64/2.47 % (2342783)------------------------------
% 12.64/2.47 % (2342783)------------------------------
% 12.64/2.47 % (2342813)lrs+10_1_sil=8000:sp=occurrence:random_seed=3565170508:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 12.64/2.47 % (2342807)------------------------------
% 12.64/2.47 % (2342807)------------------------------
% 12.64/2.47 % (2342809)------------------------------
% 12.64/2.47 % (2342809)------------------------------
% 12.64/2.47 % (2342815)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3933358629:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 12.64/2.47 % (2342815)Refutation not found, incomplete strategy
% 12.64/2.47 % (2342815)------------------------------
% 12.64/2.47 % (2342815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342815)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342815)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.47 % (2342815)Time elapsed: 0.001 s
% 12.64/2.47 % (2342815)Peak memory usage: 88 MB
% 12.64/2.47 % (2342816)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4227002645:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 12.64/2.47 % (2342817)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=197796632:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 12.64/2.47 % (2342817)Refutation not found, incomplete strategy
% 12.64/2.47 % (2342817)------------------------------
% 12.64/2.47 % (2342817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342817)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342817)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.47 % (2342817)Time elapsed: 0.002 s
% 12.64/2.47 % (2342817)Peak memory usage: 89 MB
% 12.64/2.47 % (2342817)Instructions burned: 1 (million)
% 12.64/2.47 % (2342813)Instruction limit reached!
% 12.64/2.47 % (2342813)------------------------------
% 12.64/2.47 % (2342813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342813)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342813)Termination reason: Instruction limit
% 12.64/2.47 % (2342813)Termination phase: Saturation
% 12.64/2.47 % (2342813)Time elapsed: 0.311 s
% 12.64/2.47 % (2342813)Peak memory usage: 96 MB
% 12.64/2.47 % (2342813)Instructions burned: 910 (million)
% 12.64/2.47 % (2342815)------------------------------
% 12.64/2.47 % (2342815)------------------------------
% 12.64/2.47 % (2342821)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1918595308:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 12.64/2.47 % (2342817)------------------------------
% 12.64/2.47 % (2342817)------------------------------
% 12.64/2.47 % (2342822)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=93974962:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 12.64/2.47 % (2342824)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=1216143197:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 12.64/2.47 % (2342824)Instruction limit reached!
% 12.64/2.47 % (2342824)------------------------------
% 12.64/2.47 % (2342824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342824)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342824)Termination reason: Instruction limit
% 12.64/2.47 % (2342824)Termination phase: Saturation
% 12.64/2.47 % (2342824)Time elapsed: 0.078 s
% 12.64/2.47 % (2342824)Peak memory usage: 90 MB
% 12.64/2.47 % (2342824)Instructions burned: 125 (million)
% 12.64/2.47 % (2342805)First to succeed.
% 12.64/2.47 % (2342805)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2342776"
% 12.64/2.47 % (2342827)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2137315086:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 12.64/2.47 % (2342821)Instruction limit reached!
% 12.64/2.47 % (2342821)------------------------------
% 12.64/2.47 % (2342821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.47 % (2342821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.47 % (2342821)CaDiCaL version: 2.1.3
% 12.64/2.47 % (2342821)Termination reason: Instruction limit
% 12.64/2.47 % (2342821)Termination phase: Saturation
% 12.64/2.47 % (2342821)Time elapsed: 0.383 s
% 12.64/2.47 % (2342821)Peak memory usage: 98 MB
% 12.64/2.47 % (2342821)Instructions burned: 593 (million)
% 12.64/2.47 % (2342805)Refutation found. Thanks to Tanya!
% 12.64/2.47 % SZS status Theorem for theBenchmark
% 12.64/2.47 % SZS output start Proof for theBenchmark
% See solution above
% 13.43/2.67 % (2342805)------------------------------
% 13.43/2.67 % (2342805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (2342805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (2342805)CaDiCaL version: 2.1.3
% 13.43/2.67 % (2342805)Termination reason: Refutation
% 13.43/2.67 % (2342805)Time elapsed: 1.031 s
% 13.43/2.67 % (2342805)Peak memory usage: 141 MB
% 13.43/2.67 % (2342805)Instructions burned: 1984 (million)
% 13.43/2.67 % (2342805)------------------------------
% 13.43/2.67 % (2342805)------------------------------
% 13.43/2.67 % (2342776)Success in time 1.854 s
% 13.43/2.67 % Vampire exiting
%------------------------------------------------------------------------------