%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU451+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:49:12 PM UTC 2026
% Result : Theorem 19.82s 4.73s
% Output : Refutation 19.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 15 unt; 0 def)
% Number of atoms : 67 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 25 ~; 20 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 82 ( 79 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1363,axiom,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_relset_1) ).
fof(f1392,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1463,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k5_relat_1(k6_relat_1(X0),X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_partfun1) ).
fof(f1464,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k5_relat_1(X2,k6_relat_1(X1)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_partfun1) ).
fof(f1636,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f19067,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(f19136,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) = k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_relset_2) ).
fof(f19137,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) = k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1)) ),
inference(negated_conjecture,[status(cth)],[f19136]) ).
fof(f19202,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f19067]) ).
fof(f19203,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f19202]) ).
fof(f19278,plain,
? [X0,X1,X2] :
( k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) != k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1))
& m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f19137]) ).
fof(f19313,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1392]) ).
fof(f20727,plain,
! [X0,X1,X2] :
( k5_relat_1(X2,k6_relat_1(X1)) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1464]) ).
fof(f20728,plain,
! [X0,X1,X2] :
( k5_relat_1(k6_relat_1(X0),X2) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1463]) ).
fof(f22431,plain,
( k9_relset_2(sK22,sK22,sK23,k6_partfun1(sK22),sK24) != k9_relset_2(sK22,sK23,sK23,sK24,k6_partfun1(sK23))
& m2_relset_1(sK24,sK22,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X2,sK24)],[f19278]) ).
fof(f23559,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k5_relat_1(X3,X4) = k9_relset_2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f19203]) ).
fof(f23663,plain,
m2_relset_1(sK24,sK22,sK23),
inference(cnf_transformation,[],[f22431]) ).
fof(f23664,plain,
k9_relset_2(sK22,sK22,sK23,k6_partfun1(sK22),sK24) != k9_relset_2(sK22,sK23,sK23,sK24,k6_partfun1(sK23)),
inference(cnf_transformation,[],[f22431]) ).
fof(f23727,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19313]) ).
fof(f25940,plain,
! [X0] : k6_relat_1(X0) = k6_partfun1(X0),
inference(cnf_transformation,[],[f1636]) ).
fof(f25941,plain,
! [X2,X0,X1] :
( k5_relat_1(X2,k6_relat_1(X1)) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f20727]) ).
fof(f25942,plain,
! [X2,X0,X1] :
( k5_relat_1(k6_relat_1(X0),X2) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f20728]) ).
fof(f25946,plain,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(cnf_transformation,[],[f1363]) ).
fof(f29349,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(X2,k6_partfun1(X1)) = X2 ),
inference(definition_unfolding,[],[f25941,f25940]) ).
fof(f29350,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k5_relat_1(k6_partfun1(X0),X2) = X2 ),
inference(definition_unfolding,[],[f25942,f25940]) ).
fof(f29354,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(definition_unfolding,[],[f25946,f25940]) ).
fof(f30915,plain,
sK24 = k5_relat_1(sK24,k6_partfun1(sK23)),
inference(resolution,[],[f29349,f23663]) ).
fof(f30917,plain,
sK24 = k5_relat_1(k6_partfun1(sK22),sK24),
inference(resolution,[],[f29350,f23663]) ).
fof(f30921,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| ~ m2_relset_1(X0,X1,X2)
| k5_relat_1(X3,X0) = k9_relset_2(X4,X1,X2,X3,X0) ),
inference(resolution,[],[f23727,f23559]) ).
fof(f30924,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X4,X1)
| k5_relat_1(X3,X0) = k9_relset_2(X4,X1,X2,X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(resolution,[],[f30921,f23727]) ).
fof(f30935,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sK23,X1)
| k5_relat_1(sK24,X0) = k9_relset_2(sK22,sK23,X1,sK24,X0) ),
inference(resolution,[],[f30924,f23663]) ).
fof(f30936,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X1,X0,X2)
| k5_relat_1(k6_partfun1(X0),X1) = k9_relset_2(X0,X0,X2,k6_partfun1(X0),X1) ),
inference(resolution,[],[f30924,f29354]) ).
fof(f30938,plain,
k9_relset_2(sK22,sK22,sK23,k6_partfun1(sK22),sK24) = k5_relat_1(k6_partfun1(sK22),sK24),
inference(resolution,[],[f30936,f23663]) ).
fof(f30943,plain,
sK24 = k9_relset_2(sK22,sK22,sK23,k6_partfun1(sK22),sK24),
inference(forward_demodulation,[],[f30938,f30917]) ).
fof(f30945,plain,
k9_relset_2(sK22,sK23,sK23,sK24,k6_partfun1(sK23)) = k5_relat_1(sK24,k6_partfun1(sK23)),
inference(resolution,[],[f30935,f29354]) ).
fof(f30948,plain,
sK24 = k9_relset_2(sK22,sK23,sK23,sK24,k6_partfun1(sK23)),
inference(forward_demodulation,[],[f30945,f30915]) ).
fof(f30950,plain,
sK24 != k9_relset_2(sK22,sK22,sK23,k6_partfun1(sK22),sK24),
inference(superposition,[],[f23664,f30948]) ).
fof(f30951,plain,
$false,
inference(forward_subsumption_resolution,[],[f30950,f30943]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU451+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:37:18 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 13.53/3.76 % (3108446)Detected formulas, will run a generic FOF schedule.
% 13.53/3.76 % (3108453)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=3849120549:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 13.53/3.76 % (3108456)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1377064142:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 13.53/3.76 % (3108451)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=2148017002:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 13.53/3.76 % (3108452)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=2373761205:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 13.53/3.76 % (3108457)dis-21_1_sil=8000:lcm=predicate:random_seed=1614431841:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 13.53/3.76 % (3108455)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=825029368:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 13.53/3.76 % (3108454)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=285903593:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 13.53/3.76 % (3108456)Instruction limit reached!
% 13.53/3.76 % (3108456)------------------------------
% 13.53/3.76 % (3108456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/3.76 % (3108456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/3.76 % (3108456)CaDiCaL version: 2.1.3
% 13.53/3.76 % (3108456)Termination reason: Instruction limit
% 13.53/3.76 % (3108456)Termination phase: Property scanning
% 13.53/3.76 % (3108456)Time elapsed: 0.059 s
% 13.53/3.76 % (3108456)Peak memory usage: 112 MB
% 13.53/3.76 % (3108456)Instructions burned: 141 (million)
% 13.53/3.76 % (3108454)Instruction limit reached!
% 13.53/3.76 % (3108454)------------------------------
% 13.53/3.76 % (3108454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/3.76 % (3108454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/3.76 % (3108454)CaDiCaL version: 2.1.3
% 13.53/3.76 % (3108454)Termination reason: Instruction limit
% 13.53/3.76 % (3108454)Termination phase: SInE selection
% 13.53/3.76 % (3108454)Time elapsed: 0.082 s
% 13.53/3.76 % (3108454)Peak memory usage: 112 MB
% 13.53/3.76 % (3108454)Instructions burned: 110 (million)
% 13.53/3.76 % (3108457)Instruction limit reached!
% 13.53/3.76 % (3108457)------------------------------
% 13.53/3.76 % (3108457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/3.76 % (3108457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/3.76 % (3108457)CaDiCaL version: 2.1.3
% 13.53/3.76 % (3108457)Termination reason: Instruction limit
% 13.53/3.76 % (3108457)Termination phase: SInE selection
% 13.53/3.76 % (3108457)Time elapsed: 0.083 s
% 13.53/3.76 % (3108457)Peak memory usage: 113 MB
% 13.53/3.76 % (3108457)Instructions burned: 130 (million)
% 13.53/3.76 % (3108455)Instruction limit reached!
% 13.53/3.76 % (3108455)------------------------------
% 13.53/3.76 % (3108455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/3.77 % (3108455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/3.77 % (3108455)CaDiCaL version: 2.1.3
% 13.53/3.77 % (3108455)Termination reason: Instruction limit
% 13.53/3.77 % (3108455)Termination phase: Preprocessing 1
% 13.53/3.77 % (3108455)Time elapsed: 0.098 s
% 13.53/3.77 % (3108455)Peak memory usage: 113 MB
% 13.53/3.77 % (3108455)Instructions burned: 119 (million)
% 13.53/3.77 % (3108465)lrs+10_1_sil=8000:sp=occurrence:random_seed=559800076:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 13.53/3.77 % (3108466)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1676384310:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 13.53/3.77 % (3108467)lrs+1011_1_sil=32000:sp=occurrence:random_seed=697803705:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 13.53/3.77 % (3108468)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=321147029:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 13.53/3.77 % (3108466)Instruction limit reached!
% 11.26/4.53 % (3108466)------------------------------
% 11.26/4.53 % (3108466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108466)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108466)Termination reason: Instruction limit
% 11.26/4.53 % (3108466)Termination phase: Property scanning
% 11.26/4.53 % (3108466)Time elapsed: 0.067 s
% 11.26/4.53 % (3108466)Peak memory usage: 112 MB
% 11.26/4.53 % (3108466)Instructions burned: 158 (million)
% 11.26/4.53 % (3108468)Instruction limit reached!
% 11.26/4.53 % (3108468)------------------------------
% 11.26/4.53 % (3108468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108468)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108468)Termination reason: Instruction limit
% 11.26/4.53 % (3108468)Termination phase: Property scanning
% 11.26/4.53 % (3108468)Time elapsed: 0.109 s
% 11.26/4.53 % (3108468)Peak memory usage: 112 MB
% 11.26/4.53 % (3108468)Instructions burned: 249 (million)
% 11.26/4.53 % (3108465)Instruction limit reached!
% 11.26/4.53 % (3108465)------------------------------
% 11.26/4.53 % (3108465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108465)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108465)Termination reason: Instruction limit
% 11.26/4.53 % (3108465)Termination phase: Saturation
% 11.26/4.53 % (3108465)Time elapsed: 0.207 s
% 11.26/4.53 % (3108465)Peak memory usage: 119 MB
% 11.26/4.53 % (3108465)Instructions burned: 285 (million)
% 11.26/4.53 % (3108473)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3285965663:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 11.26/4.53 % (3108467)Instruction limit reached!
% 11.26/4.53 % (3108467)------------------------------
% 11.26/4.53 % (3108467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108467)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108467)Termination reason: Instruction limit
% 11.26/4.53 % (3108467)Termination phase: Saturation
% 11.26/4.53 % (3108467)Time elapsed: 0.229 s
% 11.26/4.53 % (3108467)Peak memory usage: 119 MB
% 11.26/4.53 % (3108467)Instructions burned: 326 (million)
% 11.26/4.53 % (3108474)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3607979421:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 11.26/4.53 % (3108476)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1395453799:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 11.26/4.53 % (3108476)Instruction limit reached!
% 11.26/4.53 % (3108476)------------------------------
% 11.26/4.53 % (3108476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108476)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108476)Termination reason: Instruction limit
% 11.26/4.53 % (3108476)Termination phase: SInE selection
% 11.26/4.53 % (3108476)Time elapsed: 0.051 s
% 11.26/4.53 % (3108476)Peak memory usage: 112 MB
% 11.26/4.53 % (3108476)Instructions burned: 113 (million)
% 11.26/4.53 % (3108477)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4094429476:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 11.26/4.53 % (3108473)Instruction limit reached!
% 11.26/4.53 % (3108473)------------------------------
% 11.26/4.53 % (3108473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108473)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108473)Termination reason: Instruction limit
% 11.26/4.53 % (3108473)Termination phase: Property scanning
% 11.26/4.53 % (3108473)Time elapsed: 0.210 s
% 11.26/4.53 % (3108473)Peak memory usage: 118 MB
% 11.26/4.53 % (3108473)Instructions burned: 295 (million)
% 11.26/4.53 % (3108480)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3776843365:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 11.26/4.53 % (3108480)Instruction limit reached!
% 11.26/4.53 % (3108480)------------------------------
% 11.26/4.53 % (3108480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108480)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108480)Termination reason: Instruction limit
% 11.26/4.53 % (3108480)Termination phase: Property scanning
% 11.26/4.53 % (3108480)Time elapsed: 0.027 s
% 11.26/4.53 % (3108480)Peak memory usage: 112 MB
% 11.26/4.53 % (3108480)Instructions burned: 114 (million)
% 11.26/4.53 % (3108477)Instruction limit reached!
% 11.26/4.53 % (3108477)------------------------------
% 11.26/4.53 % (3108477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108477)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108477)Termination reason: Instruction limit
% 11.26/4.53 % (3108477)Termination phase: Preprocessing 1
% 11.26/4.53 % (3108477)Time elapsed: 0.094 s
% 11.26/4.53 % (3108477)Peak memory usage: 113 MB
% 11.26/4.53 % (3108477)Instructions burned: 128 (million)
% 11.26/4.53 % (3108482)lrs+10_1_sil=8000:sp=occurrence:random_seed=136330973:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 11.26/4.53 % (3108484)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3389603123:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 11.26/4.53 % (3108485)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=285534770:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 11.26/4.53 % (3108484)Refutation not found, incomplete strategy
% 11.26/4.53 % (3108484)------------------------------
% 11.26/4.53 % (3108484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108484)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108484)Termination reason: Refutation not found, incomplete strategy
% 11.26/4.53 % (3108484)Time elapsed: 0.086 s
% 11.26/4.53 % (3108484)Peak memory usage: 119 MB
% 11.26/4.53 % (3108484)Instructions burned: 198 (million)
% 11.26/4.53 % (3108484)------------------------------
% 11.26/4.53 % (3108484)------------------------------
% 11.26/4.53 % (3108489)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1001785080:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 11.26/4.53 % (3108489)Instruction limit reached!
% 11.26/4.53 % (3108489)------------------------------
% 11.26/4.53 % (3108489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108489)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108489)Termination reason: Instruction limit
% 11.26/4.53 % (3108489)Termination phase: NewCNF
% 11.26/4.53 % (3108489)Time elapsed: 0.070 s
% 11.26/4.53 % (3108489)Peak memory usage: 115 MB
% 11.26/4.53 % (3108489)Instructions burned: 136 (million)
% 11.26/4.53 % (3108491)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2317956233:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 11.26/4.53 % (3108482)Instruction limit reached!
% 11.26/4.53 % (3108482)------------------------------
% 11.26/4.53 % (3108482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108482)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108482)Termination reason: Instruction limit
% 11.26/4.53 % (3108482)Termination phase: Saturation
% 11.26/4.53 % (3108482)Time elapsed: 0.529 s
% 11.26/4.53 % (3108482)Peak memory usage: 130 MB
% 11.26/4.53 % (3108482)Instructions burned: 907 (million)
% 11.26/4.53 % (3108493)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2720537453:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 11.26/4.53 % (3108491)Instruction limit reached!
% 11.26/4.53 % (3108491)------------------------------
% 11.26/4.53 % (3108491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.26/4.53 % (3108491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.26/4.53 % (3108491)CaDiCaL version: 2.1.3
% 11.26/4.53 % (3108491)Termination reason: Instruction limit
% 11.26/4.53 % (3108491)Termination phase: Preprocessing 3
% 11.26/4.53 % (3108491)Time elapsed: 0.278 s
% 11.26/4.53 % (3108491)Peak memory usage: 135 MB
% 11.26/4.53 % (3108491)Instructions burned: 593 (million)
% 11.26/4.53 % (3108495)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=1823544621:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 19.82/4.73 % (3108495)Instruction limit reached!
% 19.82/4.73 % (3108495)------------------------------
% 19.82/4.73 % (3108495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/4.73 % (3108495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/4.73 % (3108495)CaDiCaL version: 2.1.3
% 19.82/4.73 % (3108495)Termination reason: Instruction limit
% 19.82/4.73 % (3108495)Termination phase: Property scanning
% 19.82/4.73 % (3108495)Time elapsed: 0.030 s
% 19.82/4.73 % (3108495)Peak memory usage: 112 MB
% 19.82/4.73 % (3108495)Instructions burned: 129 (million)
% 19.82/4.73 % (3108474)Instruction limit reached!
% 19.82/4.73 % (3108474)------------------------------
% 19.82/4.73 % (3108474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/4.73 % (3108474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/4.73 % (3108474)CaDiCaL version: 2.1.3
% 19.82/4.73 % (3108474)Termination reason: Instruction limit
% 19.82/4.73 % (3108474)Termination phase: Property scanning
% 19.82/4.73 % (3108474)Time elapsed: 1.283 s
% 19.82/4.73 % (3108474)Peak memory usage: 171 MB
% 19.82/4.73 % (3108474)Instructions burned: 2351 (million)
% 19.82/4.73 % (3108497)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3027551126:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 19.82/4.73 % (3108497)Instruction limit reached!
% 19.82/4.73 % (3108497)------------------------------
% 19.82/4.73 % (3108497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/4.73 % (3108497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/4.73 % (3108497)CaDiCaL version: 2.1.3
% 19.82/4.73 % (3108497)Termination reason: Instruction limit
% 19.82/4.73 % (3108497)Termination phase: Property scanning
% 19.82/4.73 % (3108497)Time elapsed: 0.033 s
% 19.82/4.73 % (3108497)Peak memory usage: 112 MB
% 19.82/4.73 % (3108497)Instructions burned: 134 (million)
% 19.82/4.73 % (3108498)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1773130308:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 19.82/4.73 % (3108500)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3614864557:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 19.82/4.73 % (3108498)Refutation not found, incomplete strategy
% 19.82/4.73 % (3108498)------------------------------
% 19.82/4.73 % (3108498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/4.73 % (3108498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/4.73 % (3108498)CaDiCaL version: 2.1.3
% 19.82/4.73 % (3108498)Termination reason: Refutation not found, incomplete strategy
% 19.82/4.73 % (3108498)Time elapsed: 0.108 s
% 19.82/4.73 % (3108498)Peak memory usage: 117 MB
% 19.82/4.73 % (3108498)Instructions burned: 121 (million)
% 19.82/4.73 % (3108500)Instruction limit reached!
% 19.82/4.73 % (3108500)------------------------------
% 19.82/4.73 % (3108500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/4.73 % (3108500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/4.73 % (3108500)CaDiCaL version: 2.1.3
% 19.82/4.73 % (3108500)Termination reason: Instruction limit
% 19.82/4.73 % (3108500)Termination phase: Saturation
% 19.82/4.73 % (3108500)Time elapsed: 0.147 s
% 19.82/4.73 % (3108500)Peak memory usage: 118 MB
% 19.82/4.73 % (3108500)Instructions burned: 431 (million)
% 19.82/4.73 % (3108452)First to succeed.
% 19.82/4.73 % (3108452)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3108446"
% 19.82/4.73 % (3108503)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=3949891148:i=6060:aac=none:ins=25_2966 on theBenchmark for (2966ds/6060Mi)
% 19.82/4.73 % (3108498)------------------------------
% 19.82/4.73 % (3108498)------------------------------
% 19.82/4.73 % (3108452)Refutation found. Thanks to Tanya!
% 19.82/4.73 % SZS status Theorem for theBenchmark
% 19.82/4.73 % SZS output start Proof for theBenchmark
% See solution above
% 19.82/4.73 % (3108452)------------------------------
% 19.82/4.73 % (3108452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/4.73 % (3108452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/4.73 % (3108452)CaDiCaL version: 2.1.3
% 19.82/4.73 % (3108452)Termination reason: Refutation
% 19.82/4.73 % (3108452)Time elapsed: 2.117 s
% 19.82/4.73 % (3108452)Peak memory usage: 219 MB
% 19.82/4.73 % (3108452)Instructions burned: 3363 (million)
% 19.82/4.73 % (3108452)------------------------------
% 19.82/4.73 % (3108452)------------------------------
% 19.82/4.73 % (3108446)Success in time 3.671 s
% 19.82/4.73 % Vampire exiting
%------------------------------------------------------------------------------