%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO465+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:52:43 AM UTC 2026
% Result : Theorem 64.64s 11.26s
% Output : Refutation 64.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 7 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 25 ( 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3303,axiom,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),X2)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSUBSPACEu_NEG) ).
fof(f3315,axiom,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSUBSPACEu_SPAN) ).
fof(f3336,conjecture,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSPANu_NEG) ).
fof(f3337,negated_conjecture,
~ ! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))) ),
inference(negated_conjecture,[status(cth)],[f3336]) ).
fof(f4308,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),X2)))) ),
inference(ennf_transformation,[],[f3303]) ).
fof(f4309,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),X2)))) ),
inference(flattening,[],[f4308]) ).
fof(f4346,plain,
? [X0,X1,X2] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))) ),
inference(ennf_transformation,[],[f3337]) ).
fof(f6861,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK719),bool),bool),i(s(fun(cart(real,sK719),fun(fun(cart(real,sK719),bool),bool)),in),s(cart(real,sK719),i(s(fun(cart(real,sK719),cart(real,sK719)),vectoru_neg),s(cart(real,sK719),sK720))))),s(fun(cart(real,sK719),bool),i(s(fun(fun(cart(real,sK719),bool),fun(cart(real,sK719),bool)),span),s(fun(cart(real,sK719),bool),sK721))))))
& p(s(bool,i(s(fun(fun(cart(real,sK719),bool),bool),i(s(fun(cart(real,sK719),fun(fun(cart(real,sK719),bool),bool)),in),s(cart(real,sK719),sK720))),s(fun(cart(real,sK719),bool),i(s(fun(fun(cart(real,sK719),bool),fun(cart(real,sK719),bool)),span),s(fun(cart(real,sK719),bool),sK721)))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK719,sK720,sK721]),skolemize(X0,sK719),skolemize(X1,sK720),skolemize(X2,sK721)],[f4346]) ).
fof(f10742,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),X2)))) ),
inference(cnf_transformation,[],[f4309]) ).
fof(f10763,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
inference(cnf_transformation,[],[f3315]) ).
fof(f10787,plain,
p(s(bool,i(s(fun(fun(cart(real,sK719),bool),bool),i(s(fun(cart(real,sK719),fun(fun(cart(real,sK719),bool),bool)),in),s(cart(real,sK719),sK720))),s(fun(cart(real,sK719),bool),i(s(fun(fun(cart(real,sK719),bool),fun(cart(real,sK719),bool)),span),s(fun(cart(real,sK719),bool),sK721)))))),
inference(cnf_transformation,[],[f6861]) ).
fof(f10788,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK719),bool),bool),i(s(fun(cart(real,sK719),fun(fun(cart(real,sK719),bool),bool)),in),s(cart(real,sK719),i(s(fun(cart(real,sK719),cart(real,sK719)),vectoru_neg),s(cart(real,sK719),sK720))))),s(fun(cart(real,sK719),bool),i(s(fun(fun(cart(real,sK719),bool),fun(cart(real,sK719),bool)),span),s(fun(cart(real,sK719),bool),sK721)))))),
inference(cnf_transformation,[],[f6861]) ).
fof(f17659,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK719),bool),bool),subspace),s(fun(cart(real,sK719),bool),i(s(fun(fun(cart(real,sK719),bool),fun(cart(real,sK719),bool)),span),s(fun(cart(real,sK719),bool),sK721))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK719),bool),bool),i(s(fun(cart(real,sK719),fun(fun(cart(real,sK719),bool),bool)),in),s(cart(real,sK719),sK720))),s(fun(cart(real,sK719),bool),i(s(fun(fun(cart(real,sK719),bool),fun(cart(real,sK719),bool)),span),s(fun(cart(real,sK719),bool),sK721)))))) ),
inference(resolution,[],[f10788,f10742]) ).
fof(f18175,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK719),bool),bool),i(s(fun(cart(real,sK719),fun(fun(cart(real,sK719),bool),bool)),in),s(cart(real,sK719),sK720))),s(fun(cart(real,sK719),bool),i(s(fun(fun(cart(real,sK719),bool),fun(cart(real,sK719),bool)),span),s(fun(cart(real,sK719),bool),sK721)))))),
inference(forward_subsumption_resolution,[],[f17659,f10763]) ).
fof(f18176,plain,
$false,
inference(forward_subsumption_resolution,[],[f18175,f10787]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO465+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.42 % Computer : n013.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sun Sep 27 08:14:51 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 21.90/5.07 % (4106409)Detected formulas, will run a generic FOF schedule.
% 21.90/5.07 % (4106416)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=1130864796:i=141193_2987 on theBenchmark for (2987ds/141193Mi)
% 21.90/5.07 % (4106421)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2499708804:s2a=on:i=139:gtg=position_2987 on theBenchmark for (2987ds/139Mi)
% 21.90/5.07 % (4106421)Instruction limit reached!
% 21.90/5.07 % (4106421)------------------------------
% 21.90/5.07 % (4106421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/5.07 % (4106421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.90/5.07 % (4106421)CaDiCaL version: 2.1.3
% 21.90/5.07 % (4106421)Termination reason: Instruction limit
% 21.90/5.07 % (4106421)Termination phase: Property scanning
% 21.90/5.07 % (4106421)Time elapsed: 0.055 s
% 21.90/5.07 % (4106421)Peak memory usage: 90 MB
% 21.90/5.07 % (4106421)Instructions burned: 141 (million)
% 21.90/5.07 % (4106420)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=17660760:i=119:av=off:ss=axioms_2987 on theBenchmark for (2987ds/119Mi)
% 21.90/5.07 % (4106418)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=2613489131:i=141695:sd=1:nm=32:gsp=on:ss=included_2987 on theBenchmark for (2987ds/141695Mi)
% 21.90/5.07 % (4106419)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=118625449:i=109:sd=1:ins=1:gsp=on:ss=axioms_2987 on theBenchmark for (2987ds/109Mi)
% 21.90/5.07 % (4106417)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=264608899:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2987 on theBenchmark for (2987ds/134677Mi)
% 21.90/5.07 % (4106422)dis-21_1_sil=8000:lcm=predicate:random_seed=1343717755:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2987 on theBenchmark for (2987ds/129Mi)
% 21.90/5.07 % (4106419)Instruction limit reached!
% 21.90/5.07 % (4106419)------------------------------
% 21.90/5.07 % (4106419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/5.07 % (4106419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.90/5.07 % (4106419)CaDiCaL version: 2.1.3
% 21.90/5.07 % (4106419)Termination reason: Instruction limit
% 21.90/5.07 % (4106419)Termination phase: General splitting
% 21.90/5.07 % (4106419)Time elapsed: 0.090 s
% 21.90/5.07 % (4106419)Peak memory usage: 92 MB
% 21.90/5.07 % (4106419)Instructions burned: 109 (million)
% 21.90/5.07 % (4106420)Instruction limit reached!
% 21.90/5.07 % (4106420)------------------------------
% 21.90/5.07 % (4106420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/5.07 % (4106420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.90/5.07 % (4106420)CaDiCaL version: 2.1.3
% 21.90/5.07 % (4106420)Termination reason: Instruction limit
% 21.90/5.07 % (4106420)Termination phase: Unused predicate definition removal
% 21.90/5.07 % (4106420)Time elapsed: 0.103 s
% 21.90/5.07 % (4106420)Peak memory usage: 91 MB
% 21.90/5.07 % (4106420)Instructions burned: 121 (million)
% 21.90/5.07 % (4106422)Instruction limit reached!
% 21.90/5.07 % (4106422)------------------------------
% 21.90/5.07 % (4106422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/5.07 % (4106422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.90/5.07 % (4106422)CaDiCaL version: 2.1.3
% 21.90/5.07 % (4106422)Termination reason: Instruction limit
% 21.90/5.07 % (4106422)Termination phase: SInE selection
% 21.90/5.07 % (4106422)Time elapsed: 0.099 s
% 21.90/5.07 % (4106422)Peak memory usage: 90 MB
% 21.90/5.07 % (4106422)Instructions burned: 129 (million)
% 21.90/5.07 % (4106425)lrs+10_1_sil=8000:sp=occurrence:random_seed=530833496:i=285:sd=3:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/285Mi)
% 21.90/5.07 % (4106431)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1139682469:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/157Mi)
% 21.90/5.07 % (4106431)Instruction limit reached!
% 21.90/5.07 % (4106431)------------------------------
% 21.90/5.07 % (4106431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/5.07 % (4106431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.90/5.07 % (4106431)CaDiCaL version: 2.1.3
% 21.90/5.07 % (4106431)Termination reason: Instruction limit
% 30.54/6.38 % (4106431)Termination phase: Property scanning
% 30.54/6.38 % (4106431)Time elapsed: 0.062 s
% 30.54/6.38 % (4106431)Peak memory usage: 90 MB
% 30.54/6.38 % (4106431)Instructions burned: 158 (million)
% 30.54/6.38 % (4106432)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2088008041:i=325:sd=1:ss=axioms:sgt=32_2984 on theBenchmark for (2984ds/325Mi)
% 30.54/6.38 % (4106425)Instruction limit reached!
% 30.54/6.38 % (4106425)------------------------------
% 30.54/6.38 % (4106425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (4106425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (4106425)CaDiCaL version: 2.1.3
% 30.54/6.38 % (4106425)Termination reason: Instruction limit
% 30.54/6.38 % (4106425)Termination phase: Property scanning
% 30.54/6.38 % (4106425)Time elapsed: 0.234 s
% 30.54/6.38 % (4106425)Peak memory usage: 96 MB
% 30.54/6.38 % (4106425)Instructions burned: 286 (million)
% 30.54/6.38 % (4106433)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=3590942925:s2a=on:i=248:s2at=1.23:gtg=position_2983 on theBenchmark for (2983ds/248Mi)
% 30.54/6.38 % (4106436)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4077589114:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2981 on theBenchmark for (2981ds/294Mi)
% 30.54/6.38 % (4106433)Instruction limit reached!
% 30.54/6.38 % (4106433)------------------------------
% 30.54/6.38 % (4106433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (4106433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (4106433)CaDiCaL version: 2.1.3
% 30.54/6.38 % (4106433)Termination reason: Instruction limit
% 30.54/6.38 % (4106433)Termination phase: Property scanning
% 30.54/6.38 % (4106433)Time elapsed: 0.185 s
% 30.54/6.38 % (4106433)Peak memory usage: 90 MB
% 30.54/6.38 % (4106433)Instructions burned: 249 (million)
% 30.54/6.38 % (4106439)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3223352042:i=2350_2981 on theBenchmark for (2981ds/2350Mi)
% 30.54/6.38 % (4106432)Instruction limit reached!
% 30.54/6.38 % (4106432)------------------------------
% 30.54/6.38 % (4106432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (4106432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (4106432)CaDiCaL version: 2.1.3
% 30.54/6.38 % (4106432)Termination reason: Instruction limit
% 30.54/6.38 % (4106432)Termination phase: Saturation
% 30.54/6.38 % (4106432)Time elapsed: 0.283 s
% 30.54/6.38 % (4106432)Peak memory usage: 97 MB
% 30.54/6.38 % (4106432)Instructions burned: 325 (million)
% 30.54/6.38 % (4106436)Instruction limit reached!
% 30.54/6.38 % (4106436)------------------------------
% 30.54/6.38 % (4106436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (4106436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (4106436)CaDiCaL version: 2.1.3
% 30.54/6.38 % (4106436)Termination reason: Instruction limit
% 30.54/6.38 % (4106436)Termination phase: Preprocessing 3
% 30.54/6.38 % (4106436)Time elapsed: 0.149 s
% 30.54/6.38 % (4106436)Peak memory usage: 95 MB
% 30.54/6.38 % (4106436)Instructions burned: 294 (million)
% 30.54/6.38 % (4106441)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1689113746:cts=off:i=113:fsr=off:ss=included:sgt=4_2979 on theBenchmark for (2979ds/113Mi)
% 30.54/6.38 % (4106443)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2520596143:i=127:av=off:fsr=off:sup=off_2978 on theBenchmark for (2978ds/127Mi)
% 30.54/6.38 % (4106444)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3891288566:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2978 on theBenchmark for (2978ds/114Mi)
% 30.54/6.38 % (4106441)Instruction limit reached!
% 30.54/6.38 % (4106441)------------------------------
% 30.54/6.38 % (4106441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/6.38 % (4106441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/6.38 % (4106441)CaDiCaL version: 2.1.3
% 30.54/6.38 % (4106441)Termination reason: Instruction limit
% 30.54/6.38 % (4106441)Termination phase: Preprocessing 1
% 30.54/6.38 % (4106441)Time elapsed: 0.094 s
% 30.54/6.38 % (4106441)Peak memory usage: 90 MB
% 30.54/6.38 % (4106441)Instructions burned: 113 (million)
% 30.54/6.38 % (4106443)Instruction limit reached!
% 30.54/6.38 % (4106443)------------------------------
% 30.54/6.38 % (4106443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106443)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106443)Termination reason: Instruction limit
% 20.52/11.05 % (4106443)Termination phase: Naming
% 20.52/11.05 % (4106443)Time elapsed: 0.097 s
% 20.52/11.05 % (4106443)Peak memory usage: 93 MB
% 20.52/11.05 % (4106443)Instructions burned: 127 (million)
% 20.52/11.05 % (4106444)Instruction limit reached!
% 20.52/11.05 % (4106444)------------------------------
% 20.52/11.05 % (4106444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106444)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106444)Termination reason: Instruction limit
% 20.52/11.05 % (4106444)Termination phase: Property scanning
% 20.52/11.05 % (4106444)Time elapsed: 0.046 s
% 20.52/11.05 % (4106444)Peak memory usage: 90 MB
% 20.52/11.05 % (4106444)Instructions burned: 115 (million)
% 20.52/11.05 % (4106450)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=611982488:i=5202:ss=axioms:sgt=16_2975 on theBenchmark for (2975ds/5202Mi)
% 20.52/11.05 % (4106449)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1049280794:i=437:sd=1:aac=none:ss=included_2975 on theBenchmark for (2975ds/437Mi)
% 20.52/11.05 % (4106448)lrs+10_1_sil=8000:sp=occurrence:random_seed=1140336458:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2975 on theBenchmark for (2975ds/907Mi)
% 20.52/11.05 % (4106449)Instruction limit reached!
% 20.52/11.05 % (4106449)------------------------------
% 20.52/11.05 % (4106449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106449)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106449)Termination reason: Instruction limit
% 20.52/11.05 % (4106449)Termination phase: Property scanning
% 20.52/11.05 % (4106449)Time elapsed: 0.354 s
% 20.52/11.05 % (4106449)Peak memory usage: 99 MB
% 20.52/11.05 % (4106449)Instructions burned: 438 (million)
% 20.52/11.05 % (4106454)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3154825115:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2969 on theBenchmark for (2969ds/134Mi)
% 20.52/11.05 % (4106448)Instruction limit reached!
% 20.52/11.05 % (4106448)------------------------------
% 20.52/11.05 % (4106448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106448)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106448)Termination reason: Instruction limit
% 20.52/11.05 % (4106448)Termination phase: Property scanning
% 20.52/11.05 % (4106448)Time elapsed: 0.688 s
% 20.52/11.05 % (4106448)Peak memory usage: 99 MB
% 20.52/11.05 % (4106448)Instructions burned: 907 (million)
% 20.52/11.05 % (4106454)Instruction limit reached!
% 20.52/11.05 % (4106454)------------------------------
% 20.52/11.05 % (4106454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106454)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106454)Termination reason: Instruction limit
% 20.52/11.05 % (4106454)Termination phase: Preprocessing 1
% 20.52/11.05 % (4106454)Time elapsed: 0.119 s
% 20.52/11.05 % (4106454)Peak memory usage: 91 MB
% 20.52/11.05 % (4106454)Instructions burned: 135 (million)
% 20.52/11.05 % (4106456)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1263622527:st=8:i=592:sd=3:ep=RST:ss=axioms_2966 on theBenchmark for (2966ds/592Mi)
% 20.52/11.05 % (4106457)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1876178631:st=3:i=13193:sd=3:ss=axioms_2965 on theBenchmark for (2965ds/13193Mi)
% 20.52/11.05 % (4106439)Instruction limit reached!
% 20.52/11.05 % (4106439)------------------------------
% 20.52/11.05 % (4106439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106439)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106439)Termination reason: Instruction limit
% 20.52/11.05 % (4106439)Termination phase: Twee Goal Transformation
% 20.52/11.05 % (4106439)Time elapsed: 1.737 s
% 20.52/11.05 % (4106439)Peak memory usage: 105 MB
% 20.52/11.05 % (4106439)Instructions burned: 2351 (million)
% 20.52/11.05 % (4106456)Instruction limit reached!
% 20.52/11.05 % (4106456)------------------------------
% 20.52/11.05 % (4106456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106456)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106456)Termination reason: Instruction limit
% 20.52/11.05 % (4106456)Termination phase: Preprocessing 3
% 20.52/11.05 % (4106456)Time elapsed: 0.487 s
% 20.52/11.05 % (4106456)Peak memory usage: 102 MB
% 20.52/11.05 % (4106456)Instructions burned: 592 (million)
% 20.52/11.05 % (4106462)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=4096536655:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/125Mi)
% 20.52/11.05 % (4106462)Instruction limit reached!
% 20.52/11.05 % (4106462)------------------------------
% 20.52/11.05 % (4106462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106462)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106462)Termination reason: Instruction limit
% 20.52/11.05 % (4106462)Termination phase: Property scanning
% 20.52/11.05 % (4106462)Time elapsed: 0.094 s
% 20.52/11.05 % (4106462)Peak memory usage: 90 MB
% 20.52/11.05 % (4106462)Instructions burned: 126 (million)
% 20.52/11.05 % (4106463)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4076318689:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 20.52/11.05 % (4106463)Instruction limit reached!
% 20.52/11.05 % (4106463)------------------------------
% 20.52/11.05 % (4106463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106463)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106463)Termination reason: Instruction limit
% 20.52/11.05 % (4106463)Termination phase: Property scanning
% 20.52/11.05 % (4106463)Time elapsed: 0.102 s
% 20.52/11.05 % (4106463)Peak memory usage: 90 MB
% 20.52/11.05 % (4106463)Instructions burned: 135 (million)
% 20.52/11.05 % (4106465)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=538193102:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/141Mi)
% 20.52/11.05 % (4106465)Instruction limit reached!
% 20.52/11.05 % (4106465)------------------------------
% 20.52/11.05 % (4106465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106465)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106465)Termination reason: Instruction limit
% 20.52/11.05 % (4106465)Termination phase: Saturation
% 20.52/11.05 % (4106465)Time elapsed: 0.119 s
% 20.52/11.05 % (4106465)Peak memory usage: 94 MB
% 20.52/11.05 % (4106465)Instructions burned: 142 (million)
% 20.52/11.05 % (4106467)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3264042771:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2954 on theBenchmark for (2954ds/431Mi)
% 20.52/11.05 % (4106469)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=2775650290:i=6060:aac=none:ins=25_2953 on theBenchmark for (2953ds/6060Mi)
% 20.52/11.05 % (4106467)Instruction limit reached!
% 20.52/11.05 % (4106467)------------------------------
% 20.52/11.05 % (4106467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106467)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106467)Termination reason: Instruction limit
% 20.52/11.05 % (4106467)Termination phase: Saturation
% 20.52/11.05 % (4106467)Time elapsed: 0.352 s
% 20.52/11.05 % (4106467)Peak memory usage: 96 MB
% 20.52/11.05 % (4106467)Instructions burned: 431 (million)
% 20.52/11.05 % (4106450)Instruction limit reached!
% 20.52/11.05 % (4106450)------------------------------
% 20.52/11.05 % (4106450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.52/11.05 % (4106450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/11.05 % (4106450)CaDiCaL version: 2.1.3
% 20.52/11.05 % (4106450)Termination reason: Instruction limit
% 20.52/11.05 % (4106450)Termination phase: Saturation
% 20.52/11.05 % (4106450)Time elapsed: 2.604 s
% 20.52/11.05 % (4106450)Peak memory usage: 249 MB
% 20.52/11.05 % (4106450)Instructions burned: 5202 (million)
% 20.52/11.05 % (4106472)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=2855241519:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2948 on theBenchmark for (2948ds/150Mi)
% 64.64/11.26 % (4106473)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1134661128:i=14155:bd=all_2947 on theBenchmark for (2947ds/14155Mi)
% 64.64/11.26 % (4106472)Instruction limit reached!
% 64.64/11.26 % (4106472)------------------------------
% 64.64/11.26 % (4106472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.64/11.26 % (4106472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.64/11.26 % (4106472)CaDiCaL version: 2.1.3
% 64.64/11.26 % (4106472)Termination reason: Instruction limit
% 64.64/11.26 % (4106472)Termination phase: Preprocessing 1
% 64.64/11.26 % (4106472)Time elapsed: 0.130 s
% 64.64/11.26 % (4106472)Peak memory usage: 91 MB
% 64.64/11.26 % (4106472)Instructions burned: 150 (million)
% 64.64/11.26 % (4106476)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4195819032:i=667:av=off:fsr=off_2944 on theBenchmark for (2944ds/667Mi)
% 64.64/11.26 % (4106476)Instruction limit reached!
% 64.64/11.26 % (4106476)------------------------------
% 64.64/11.26 % (4106476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.64/11.26 % (4106476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.64/11.26 % (4106476)CaDiCaL version: 2.1.3
% 64.64/11.26 % (4106476)Termination reason: Instruction limit
% 64.64/11.26 % (4106476)Termination phase: Property scanning
% 64.64/11.26 % (4106476)Time elapsed: 0.548 s
% 64.64/11.26 % (4106476)Peak memory usage: 102 MB
% 64.64/11.26 % (4106476)Instructions burned: 668 (million)
% 64.64/11.26 % (4106478)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3490287176:s2a=on:i=185:s2at=1.8:fdi=4_2935 on theBenchmark for (2935ds/185Mi)
% 64.64/11.26 % (4106478)Instruction limit reached!
% 64.64/11.26 % (4106478)------------------------------
% 64.64/11.26 % (4106478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.64/11.26 % (4106478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.64/11.26 % (4106478)CaDiCaL version: 2.1.3
% 64.64/11.26 % (4106478)Termination reason: Instruction limit
% 64.64/11.26 % (4106478)Termination phase: Preprocessing 1
% 64.64/11.26 % (4106478)Time elapsed: 0.157 s
% 64.64/11.26 % (4106478)Peak memory usage: 91 MB
% 64.64/11.26 % (4106478)Instructions burned: 186 (million)
% 64.64/11.26 % (4106480)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1204506825:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2931 on theBenchmark for (2931ds/193Mi)
% 64.64/11.26 % (4106480)Instruction limit reached!
% 64.64/11.26 % (4106480)------------------------------
% 64.64/11.26 % (4106480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.64/11.26 % (4106480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.64/11.26 % (4106480)CaDiCaL version: 2.1.3
% 64.64/11.26 % (4106480)Termination reason: Instruction limit
% 64.64/11.26 % (4106480)Termination phase: Preprocessing 1
% 64.64/11.26 % (4106480)Time elapsed: 0.165 s
% 64.64/11.26 % (4106480)Peak memory usage: 90 MB
% 64.64/11.26 % (4106480)Instructions burned: 193 (million)
% 64.64/11.26 % (4106482)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2095623963:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2926 on theBenchmark for (2926ds/4850Mi)
% 64.64/11.26 % (4106482)First to succeed.
% 64.64/11.26 % (4106482)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4106409"
% 64.64/11.26 % (4106482)Refutation found. Thanks to Tanya!
% 64.64/11.26 % SZS status Theorem for theBenchmark
% 64.64/11.26 % SZS output start Proof for theBenchmark
% See solution above
% 64.64/11.26 % (4106482)------------------------------
% 64.64/11.26 % (4106482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 64.64/11.26 % (4106482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.64/11.26 % (4106482)CaDiCaL version: 2.1.3
% 64.64/11.26 % (4106482)Termination reason: Refutation
% 64.64/11.26 % (4106482)Time elapsed: 1.971 s
% 64.64/11.26 % (4106482)Peak memory usage: 126 MB
% 64.64/11.26 % (4106482)Instructions burned: 2441 (million)
% 64.64/11.26 % (4106482)------------------------------
% 64.64/11.26 % (4106482)------------------------------
% 64.64/11.26 % (4106409)Success in time 10.093 s
% 64.64/11.26 % Vampire exiting
%------------------------------------------------------------------------------