%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO452+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:52:41 AM UTC 2026
% Result : Theorem 0.15s 4.81s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 8 unt; 1 def)
% Number of atoms : 33 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 7 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3176,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2))))
=> ! [X3] : s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(cart(cart(real,X1),X0),fun(cart(real,X1),cart(real,X0))),matrixu_vectoru_mul),s(cart(cart(real,X1),X0),i(s(fun(fun(cart(real,X1),cart(real,X0)),cart(cart(real,X1),X0)),matrix),s(fun(cart(real,X1),cart(real,X0)),X2))))),s(cart(real,X1),X3))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aMATRIXu_WORKS) ).
fof(f3177,conjecture,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2))))
=> ! [X3] : s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X3))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(cart(cart(real,X1),X0),fun(cart(real,X1),cart(real,X0))),matrixu_vectoru_mul),s(cart(cart(real,X1),X0),i(s(fun(fun(cart(real,X1),cart(real,X0)),cart(cart(real,X1),X0)),matrix),s(fun(cart(real,X1),cart(real,X0)),X2))))),s(cart(real,X1),X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aMATRIXu_VECTORu_MUL) ).
fof(f3178,negated_conjecture,
~ ! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2))))
=> ! [X3] : s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X3))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(cart(cart(real,X1),X0),fun(cart(real,X1),cart(real,X0))),matrixu_vectoru_mul),s(cart(cart(real,X1),X0),i(s(fun(fun(cart(real,X1),cart(real,X0)),cart(cart(real,X1),X0)),matrix),s(fun(cart(real,X1),cart(real,X0)),X2))))),s(cart(real,X1),X3))) ),
inference(negated_conjecture,[status(cth)],[f3177]) ).
fof(f3841,plain,
! [X0,X1,X2] :
( ! [X3] : s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(cart(cart(real,X1),X0),fun(cart(real,X1),cart(real,X0))),matrixu_vectoru_mul),s(cart(cart(real,X1),X0),i(s(fun(fun(cart(real,X1),cart(real,X0)),cart(cart(real,X1),X0)),matrix),s(fun(cart(real,X1),cart(real,X0)),X2))))),s(cart(real,X1),X3))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X3)))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2)))) ),
inference(ennf_transformation,[],[f3176]) ).
fof(f3842,plain,
? [X0,X1,X2] :
( ? [X3] : s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X3))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(cart(cart(real,X1),X0),fun(cart(real,X1),cart(real,X0))),matrixu_vectoru_mul),s(cart(cart(real,X1),X0),i(s(fun(fun(cart(real,X1),cart(real,X0)),cart(cart(real,X1),X0)),matrix),s(fun(cart(real,X1),cart(real,X0)),X2))))),s(cart(real,X1),X3)))
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2)))) ),
inference(ennf_transformation,[],[f3178]) ).
fof(f5092,plain,
( s(cart(real,sK468),i(s(fun(cart(real,sK469),cart(real,sK468)),sK470),s(cart(real,sK469),sK471))) != s(cart(real,sK468),i(s(fun(cart(real,sK469),cart(real,sK468)),i(s(fun(cart(cart(real,sK469),sK468),fun(cart(real,sK469),cart(real,sK468))),matrixu_vectoru_mul),s(cart(cart(real,sK469),sK468),i(s(fun(fun(cart(real,sK469),cart(real,sK468)),cart(cart(real,sK469),sK468)),matrix),s(fun(cart(real,sK469),cart(real,sK468)),sK470))))),s(cart(real,sK469),sK471)))
& p(s(bool,i(s(fun(fun(cart(real,sK469),cart(real,sK468)),bool),linear),s(fun(cart(real,sK469),cart(real,sK468)),sK470)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK468,sK469,sK470,sK471]),skolemize(X0,sK468),skolemize(X1,sK469),skolemize(X2,sK470),skolemize(X3,sK471)],[f3842]) ).
fof(f7182,plain,
! [X2,X3,X0,X1] :
( s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X3))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(cart(cart(real,X1),X0),fun(cart(real,X1),cart(real,X0))),matrixu_vectoru_mul),s(cart(cart(real,X1),X0),i(s(fun(fun(cart(real,X1),cart(real,X0)),cart(cart(real,X1),X0)),matrix),s(fun(cart(real,X1),cart(real,X0)),X2))))),s(cart(real,X1),X3)))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2)))) ),
inference(cnf_transformation,[],[f3841]) ).
fof(f7183,plain,
p(s(bool,i(s(fun(fun(cart(real,sK469),cart(real,sK468)),bool),linear),s(fun(cart(real,sK469),cart(real,sK468)),sK470)))),
inference(cnf_transformation,[],[f5092]) ).
fof(f7184,plain,
s(cart(real,sK468),i(s(fun(cart(real,sK469),cart(real,sK468)),sK470),s(cart(real,sK469),sK471))) != s(cart(real,sK468),i(s(fun(cart(real,sK469),cart(real,sK468)),i(s(fun(cart(cart(real,sK469),sK468),fun(cart(real,sK469),cart(real,sK468))),matrixu_vectoru_mul),s(cart(cart(real,sK469),sK468),i(s(fun(fun(cart(real,sK469),cart(real,sK468)),cart(cart(real,sK469),sK468)),matrix),s(fun(cart(real,sK469),cart(real,sK468)),sK470))))),s(cart(real,sK469),sK471))),
inference(cnf_transformation,[],[f5092]) ).
fof(f13625,definition,
( spl3525_1
<=> s(cart(real,sK468),i(s(fun(cart(real,sK469),cart(real,sK468)),sK470),s(cart(real,sK469),sK471))) = s(cart(real,sK468),i(s(fun(cart(real,sK469),cart(real,sK468)),i(s(fun(cart(cart(real,sK469),sK468),fun(cart(real,sK469),cart(real,sK468))),matrixu_vectoru_mul),s(cart(cart(real,sK469),sK468),i(s(fun(fun(cart(real,sK469),cart(real,sK468)),cart(cart(real,sK469),sK468)),matrix),s(fun(cart(real,sK469),cart(real,sK468)),sK470))))),s(cart(real,sK469),sK471))) ),
introduced(definition,[new_symbols(definition,[spl3525_1])],[avatar_definition]) ).
fof(f13627,plain,
( s(cart(real,sK468),i(s(fun(cart(real,sK469),cart(real,sK468)),sK470),s(cart(real,sK469),sK471))) != s(cart(real,sK468),i(s(fun(cart(real,sK469),cart(real,sK468)),i(s(fun(cart(cart(real,sK469),sK468),fun(cart(real,sK469),cart(real,sK468))),matrixu_vectoru_mul),s(cart(cart(real,sK469),sK468),i(s(fun(fun(cart(real,sK469),cart(real,sK468)),cart(cart(real,sK469),sK468)),matrix),s(fun(cart(real,sK469),cart(real,sK468)),sK470))))),s(cart(real,sK469),sK471)))
| spl3525_1 ),
inference(avatar_component_clause,[],[f13625]) ).
fof(f13628,plain,
~ spl3525_1,
inference(avatar_split_clause,[],[f7184,f13625]) ).
fof(f14646,plain,
( s(cart(real,sK468),i(s(fun(cart(real,sK469),cart(real,sK468)),sK470),s(cart(real,sK469),sK471))) != s(cart(real,sK468),i(s(fun(cart(real,sK469),cart(real,sK468)),sK470),s(cart(real,sK469),sK471)))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK469),cart(real,sK468)),bool),linear),s(fun(cart(real,sK469),cart(real,sK468)),sK470))))
| spl3525_1 ),
inference(superposition,[],[f13627,f7182]) ).
fof(f14879,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK469),cart(real,sK468)),bool),linear),s(fun(cart(real,sK469),cart(real,sK468)),sK470))))
| spl3525_1 ),
inference(trivial_inequality_removal,[],[f14646]) ).
fof(f15004,plain,
( $false
| spl3525_1 ),
inference(forward_subsumption_resolution,[],[f14879,f7183]) ).
fof(f15005,plain,
spl3525_1,
inference(avatar_contradiction_clause,[],[f15004]) ).
cnf(s1,plain,
~ spl3525_1,
inference(sat_conversion,[],[f13628]) ).
cnf(s2,plain,
spl3525_1,
inference(sat_conversion,[],[f15005]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
fof(f16057,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO452+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.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 08:19:17 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
% 11.65/3.38 % (2312810)Detected formulas, will run a generic FOF schedule.
% 11.65/3.38 % (2312817)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=1032580627:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 11.65/3.38 % (2312815)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=317245817:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 11.65/3.38 % (2312818)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2668366619:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 11.65/3.38 % (2312821)dis-21_1_sil=8000:lcm=predicate:random_seed=2620458809:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 11.65/3.38 % (2312820)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3248496702:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 11.65/3.38 % (2312816)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=2302973538:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 11.65/3.38 % (2312819)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=550794972:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 11.65/3.38 % (2312820)Instruction limit reached!
% 11.65/3.38 % (2312820)------------------------------
% 11.65/3.38 % (2312820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/3.38 % (2312820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/3.38 % (2312820)CaDiCaL version: 2.1.3
% 11.65/3.38 % (2312820)Termination reason: Instruction limit
% 11.65/3.38 % (2312820)Termination phase: Property scanning
% 11.65/3.38 % (2312820)Time elapsed: 0.048 s
% 11.65/3.38 % (2312820)Peak memory usage: 90 MB
% 11.65/3.38 % (2312820)Instructions burned: 140 (million)
% 11.65/3.38 % (2312818)Instruction limit reached!
% 11.65/3.38 % (2312818)------------------------------
% 11.65/3.38 % (2312818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/3.38 % (2312818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/3.38 % (2312818)CaDiCaL version: 2.1.3
% 11.65/3.38 % (2312818)Termination reason: Instruction limit
% 11.65/3.38 % (2312818)Termination phase: General splitting
% 11.65/3.38 % (2312818)Time elapsed: 0.055 s
% 11.65/3.38 % (2312818)Peak memory usage: 92 MB
% 11.65/3.38 % (2312818)Instructions burned: 110 (million)
% 11.65/3.38 % (2312821)Instruction limit reached!
% 11.65/3.38 % (2312821)------------------------------
% 11.65/3.38 % (2312821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/3.38 % (2312821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/3.38 % (2312821)CaDiCaL version: 2.1.3
% 11.65/3.38 % (2312821)Termination reason: Instruction limit
% 11.65/3.38 % (2312821)Termination phase: SInE selection
% 11.65/3.38 % (2312821)Time elapsed: 0.061 s
% 11.65/3.38 % (2312821)Peak memory usage: 89 MB
% 11.65/3.38 % (2312821)Instructions burned: 130 (million)
% 11.65/3.38 % (2312819)Instruction limit reached!
% 11.65/3.38 % (2312819)------------------------------
% 11.65/3.38 % (2312819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/3.38 % (2312819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/3.38 % (2312819)CaDiCaL version: 2.1.3
% 11.65/3.38 % (2312819)Termination reason: Instruction limit
% 11.65/3.38 % (2312819)Termination phase: Preprocessing 1
% 11.65/3.38 % (2312819)Time elapsed: 0.066 s
% 11.65/3.38 % (2312819)Peak memory usage: 91 MB
% 11.65/3.38 % (2312819)Instructions burned: 125 (million)
% 11.65/3.38 % (2312829)lrs+10_1_sil=8000:sp=occurrence:random_seed=2909358097:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 11.65/3.38 % (2312831)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1865592180:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 11.65/3.38 % (2312830)lrs+10_1_sil=32000:urr=on:br=off:random_seed=816579335:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 11.65/3.38 % (2312832)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=354556792:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 11.65/3.38 % (2312830)Instruction limit reached!
% 18.08/4.27 % (2312830)------------------------------
% 18.08/4.27 % (2312830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/4.27 % (2312830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/4.27 % (2312830)CaDiCaL version: 2.1.3
% 18.08/4.27 % (2312830)Termination reason: Instruction limit
% 18.08/4.27 % (2312830)Termination phase: Property scanning
% 18.08/4.27 % (2312830)Time elapsed: 0.055 s
% 18.08/4.27 % (2312830)Peak memory usage: 90 MB
% 18.08/4.27 % (2312830)Instructions burned: 159 (million)
% 18.08/4.27 % (2312832)Instruction limit reached!
% 18.08/4.27 % (2312832)------------------------------
% 18.08/4.27 % (2312832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/4.27 % (2312832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/4.27 % (2312832)CaDiCaL version: 2.1.3
% 18.08/4.27 % (2312832)Termination reason: Instruction limit
% 18.08/4.27 % (2312832)Termination phase: Property scanning
% 18.08/4.27 % (2312832)Time elapsed: 0.086 s
% 18.08/4.27 % (2312832)Peak memory usage: 90 MB
% 18.08/4.27 % (2312832)Instructions burned: 250 (million)
% 18.08/4.27 % (2312829)Instruction limit reached!
% 18.08/4.27 % (2312829)------------------------------
% 18.08/4.27 % (2312829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/4.27 % (2312829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/4.27 % (2312829)CaDiCaL version: 2.1.3
% 18.08/4.27 % (2312829)Termination reason: Instruction limit
% 18.08/4.27 % (2312829)Termination phase: Property scanning
% 18.08/4.27 % (2312829)Time elapsed: 0.142 s
% 18.08/4.27 % (2312829)Peak memory usage: 96 MB
% 18.08/4.27 % (2312829)Instructions burned: 287 (million)
% 18.08/4.27 % (2312831)Instruction limit reached!
% 18.08/4.27 % (2312831)------------------------------
% 18.08/4.27 % (2312831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/4.27 % (2312831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/4.27 % (2312831)CaDiCaL version: 2.1.3
% 18.08/4.27 % (2312831)Termination reason: Instruction limit
% 18.08/4.27 % (2312831)Termination phase: Saturation
% 18.08/4.27 % (2312831)Time elapsed: 0.175 s
% 18.08/4.27 % (2312831)Peak memory usage: 97 MB
% 18.08/4.27 % (2312831)Instructions burned: 325 (million)
% 18.08/4.27 % (2312837)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4189355595:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 18.08/4.27 % (2312838)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1100282648:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 18.08/4.27 % (2312839)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=653099576:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 18.08/4.27 % (2312840)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=577510708:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 18.08/4.27 % (2312839)Instruction limit reached!
% 18.08/4.27 % (2312839)------------------------------
% 18.08/4.27 % (2312839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/4.27 % (2312839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/4.27 % (2312839)CaDiCaL version: 2.1.3
% 18.08/4.27 % (2312839)Termination reason: Instruction limit
% 18.08/4.27 % (2312839)Termination phase: Preprocessing 1
% 18.08/4.27 % (2312839)Time elapsed: 0.062 s
% 18.08/4.27 % (2312839)Peak memory usage: 90 MB
% 18.08/4.27 % (2312839)Instructions burned: 113 (million)
% 18.08/4.27 % (2312837)Instruction limit reached!
% 18.08/4.27 % (2312837)------------------------------
% 18.08/4.27 % (2312837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/4.27 % (2312837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/4.27 % (2312837)CaDiCaL version: 2.1.3
% 18.08/4.27 % (2312837)Termination reason: Instruction limit
% 18.08/4.27 % (2312837)Termination phase: Preprocessing 3
% 18.08/4.27 % (2312837)Time elapsed: 0.148 s
% 18.08/4.27 % (2312837)Peak memory usage: 95 MB
% 18.08/4.27 % (2312837)Instructions burned: 294 (million)
% 18.08/4.27 % (2312840)Instruction limit reached!
% 18.08/4.27 % (2312840)------------------------------
% 18.08/4.27 % (2312840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/4.27 % (2312840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/4.27 % (2312840)CaDiCaL version: 2.1.3
% 10.69/4.61 % (2312840)Termination reason: Instruction limit
% 10.69/4.61 % (2312840)Termination phase: Naming
% 10.69/4.61 % (2312840)Time elapsed: 0.072 s
% 10.69/4.61 % (2312840)Peak memory usage: 93 MB
% 10.69/4.61 % (2312840)Instructions burned: 129 (million)
% 10.69/4.61 % (2312846)lrs+10_1_sil=8000:sp=occurrence:random_seed=383858134:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 10.69/4.61 % (2312845)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2387984407:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 10.69/4.61 % (2312845)Instruction limit reached!
% 10.69/4.61 % (2312845)------------------------------
% 10.69/4.61 % (2312845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/4.61 % (2312845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/4.61 % (2312845)CaDiCaL version: 2.1.3
% 10.69/4.61 % (2312845)Termination reason: Instruction limit
% 10.69/4.61 % (2312845)Termination phase: Property scanning
% 10.69/4.61 % (2312845)Time elapsed: 0.040 s
% 10.69/4.61 % (2312845)Peak memory usage: 90 MB
% 10.69/4.61 % (2312845)Instructions burned: 114 (million)
% 10.69/4.61 % (2312847)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1640974014:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 10.69/4.61 % (2312850)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3669766992:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 10.69/4.61 % (2312847)Instruction limit reached!
% 10.69/4.61 % (2312847)------------------------------
% 10.69/4.61 % (2312847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/4.61 % (2312847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/4.61 % (2312847)CaDiCaL version: 2.1.3
% 10.69/4.61 % (2312847)Termination reason: Instruction limit
% 10.69/4.61 % (2312847)Termination phase: Property scanning
% 10.69/4.61 % (2312847)Time elapsed: 0.206 s
% 10.69/4.61 % (2312847)Peak memory usage: 98 MB
% 10.69/4.61 % (2312847)Instructions burned: 439 (million)
% 10.69/4.61 % (2312846)Instruction limit reached!
% 10.69/4.61 % (2312846)------------------------------
% 10.69/4.61 % (2312846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/4.61 % (2312846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/4.61 % (2312846)CaDiCaL version: 2.1.3
% 10.69/4.61 % (2312846)Termination reason: Instruction limit
% 10.69/4.61 % (2312846)Termination phase: Saturation
% 10.69/4.61 % (2312846)Time elapsed: 0.382 s
% 10.69/4.61 % (2312846)Peak memory usage: 102 MB
% 10.69/4.61 % (2312846)Instructions burned: 908 (million)
% 10.69/4.61 % (2312853)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=785050192:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 10.69/4.61 % (2312853)Instruction limit reached!
% 10.69/4.61 % (2312853)------------------------------
% 10.69/4.61 % (2312853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/4.61 % (2312853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/4.61 % (2312853)CaDiCaL version: 2.1.3
% 10.69/4.61 % (2312853)Termination reason: Instruction limit
% 10.69/4.61 % (2312853)Termination phase: Preprocessing 1
% 10.69/4.61 % (2312853)Time elapsed: 0.076 s
% 10.69/4.61 % (2312853)Peak memory usage: 91 MB
% 10.69/4.61 % (2312853)Instructions burned: 134 (million)
% 10.69/4.61 % (2312854)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=917035405:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 10.69/4.61 % (2312856)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=124372031:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 10.69/4.61 % (2312838)Instruction limit reached!
% 10.69/4.61 % (2312838)------------------------------
% 10.69/4.61 % (2312838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/4.61 % (2312838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/4.61 % (2312838)CaDiCaL version: 2.1.3
% 10.69/4.61 % (2312838)Termination reason: Instruction limit
% 10.69/4.61 % (2312838)Termination phase: Twee Goal Transformation
% 10.69/4.61 % (2312838)Time elapsed: 0.890 s
% 10.69/4.61 % (2312838)Peak memory usage: 104 MB
% 10.69/4.61 % (2312838)Instructions burned: 2352 (million)
% 10.69/4.61 % (2312859)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=1341623987:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 10.69/4.62 % (2312854)Instruction limit reached!
% 10.69/4.62 % (2312854)------------------------------
% 10.69/4.62 % (2312854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/4.62 % (2312854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/4.62 % (2312854)CaDiCaL version: 2.1.3
% 10.69/4.62 % (2312854)Termination reason: Instruction limit
% 10.69/4.62 % (2312854)Termination phase: Preprocessing 3
% 10.69/4.62 % (2312854)Time elapsed: 0.300 s
% 10.69/4.62 % (2312854)Peak memory usage: 102 MB
% 10.69/4.62 % (2312854)Instructions burned: 594 (million)
% 10.69/4.62 % (2312859)Instruction limit reached!
% 10.69/4.62 % (2312859)------------------------------
% 10.69/4.62 % (2312859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/4.62 % (2312859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/4.62 % (2312859)CaDiCaL version: 2.1.3
% 10.69/4.62 % (2312859)Termination reason: Instruction limit
% 10.69/4.62 % (2312859)Termination phase: Property scanning
% 10.69/4.62 % (2312859)Time elapsed: 0.044 s
% 10.69/4.62 % (2312859)Peak memory usage: 90 MB
% 10.69/4.62 % (2312859)Instructions burned: 128 (million)
% 10.69/4.62 % (2312861)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3715147604:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 10.69/4.62 % (2312862)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2558215757:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 10.69/4.62 % (2312861)Instruction limit reached!
% 10.69/4.62 % (2312861)------------------------------
% 10.69/4.62 % (2312861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/4.62 % (2312861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/4.62 % (2312861)CaDiCaL version: 2.1.3
% 10.69/4.62 % (2312861)Termination reason: Instruction limit
% 10.69/4.62 % (2312861)Termination phase: Property scanning
% 10.69/4.62 % (2312861)Time elapsed: 0.047 s
% 10.69/4.62 % (2312861)Peak memory usage: 90 MB
% 10.69/4.62 % (2312861)Instructions burned: 135 (million)
% 10.69/4.62 % (2312862)Instruction limit reached!
% 10.69/4.62 % (2312862)------------------------------
% 10.69/4.62 % (2312862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/4.62 % (2312862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/4.62 % (2312862)CaDiCaL version: 2.1.3
% 10.69/4.62 % (2312862)Termination reason: Instruction limit
% 10.69/4.62 % (2312862)Termination phase: Saturation
% 10.69/4.62 % (2312862)Time elapsed: 0.071 s
% 10.69/4.62 % (2312862)Peak memory usage: 94 MB
% 10.69/4.62 % (2312862)Instructions burned: 141 (million)
% 10.69/4.62 % (2312865)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=334752667:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 10.69/4.62 % (2312866)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=260872595:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 10.69/4.62 % (2312865)Refutation not found, incomplete strategy
% 10.69/4.62 % (2312865)------------------------------
% 10.69/4.62 % (2312865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/4.62 % (2312865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/4.62 % (2312865)CaDiCaL version: 2.1.3
% 10.69/4.62 % (2312865)Termination reason: Refutation not found, incomplete strategy
% 10.69/4.62 % (2312865)Time elapsed: 0.099 s
% 10.69/4.62 % (2312865)Peak memory usage: 95 MB
% 10.69/4.62 % (2312865)Instructions burned: 141 (million)
% 10.69/4.62 % (2312865)------------------------------
% 10.69/4.62 % (2312865)------------------------------
% 10.69/4.62 % (2312869)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3548331487:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2967 on theBenchmark for (2967ds/150Mi)
% 10.69/4.62 % (2312869)Instruction limit reached!
% 10.69/4.62 % (2312869)------------------------------
% 10.69/4.62 % (2312869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/4.62 % (2312869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/4.81 % (2312869)CaDiCaL version: 2.1.3
% 0.15/4.81 % (2312869)Termination reason: Instruction limit
% 0.15/4.81 % (2312869)Termination phase: Preprocessing 1
% 0.15/4.81 % (2312869)Time elapsed: 0.083 s
% 0.15/4.81 % (2312869)Peak memory usage: 91 MB
% 0.15/4.81 % (2312869)Instructions burned: 150 (million)
% 0.15/4.81 % (2312817)First to succeed.
% 0.15/4.81 % (2312871)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3102407964:i=14155:bd=all_2965 on theBenchmark for (2965ds/14155Mi)
% 0.15/4.81 % (2312817)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2312810"
% 0.15/4.81 % (2312817)Refutation found. Thanks to Tanya!
% 0.15/4.81 % SZS status Theorem for theBenchmark
% 0.15/4.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/4.81 % (2312817)------------------------------
% 0.15/4.81 % (2312817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/4.81 % (2312817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/4.81 % (2312817)CaDiCaL version: 2.1.3
% 0.15/4.81 % (2312817)Termination reason: Refutation
% 0.15/4.81 % (2312817)Time elapsed: 2.494 s
% 0.15/4.81 % (2312817)Peak memory usage: 290 MB
% 0.15/4.81 % (2312817)Instructions burned: 7933 (million)
% 0.15/4.81 % (2312817)------------------------------
% 0.15/4.81 % (2312817)------------------------------
% 0.15/4.81 % (2312810)Success in time 3.768 s
% 0.15/4.81 % Vampire exiting
%------------------------------------------------------------------------------