%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU418+4 : 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 : n019.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 12:48:52 PM UTC 2026
% Result : Theorem 34.01s 10.54s
% Output : Refutation 34.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 19 unt; 2 def)
% Number of atoms : 148 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 158 ( 71 ~; 65 |; 8 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 57 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f88,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X0,X2) )
=> r1_tarski(X0,k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f105,axiom,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f683,axiom,
! [X0,X1] :
( ( v1_relat_1(X0)
& v1_relat_1(X1) )
=> v1_relat_1(k4_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_relat_1) ).
fof(f753,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_relat_1) ).
fof(f71086,conjecture,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k5_relat_1(k3_xboole_0(X0,X1),X2),k3_xboole_0(k5_relat_1(X0,X2),k5_relat_1(X1,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_relset_2) ).
fof(f71087,negated_conjecture,
~ ! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k5_relat_1(k3_xboole_0(X0,X1),X2),k3_xboole_0(k5_relat_1(X0,X2),k5_relat_1(X1,X2))) ) ) ),
inference(negated_conjecture,[status(cth)],[f71086]) ).
fof(f71141,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_tarski(k5_relat_1(k3_xboole_0(X0,X1),X2),k3_xboole_0(k5_relat_1(X0,X2),k5_relat_1(X1,X2)))
& v1_relat_1(X2) )
& v1_relat_1(X1) )
& v1_relat_1(X0) ),
inference(ennf_transformation,[],[f71087]) ).
fof(f71257,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f88]) ).
fof(f71258,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(flattening,[],[f71257]) ).
fof(f71342,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f753]) ).
fof(f71343,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f71342]) ).
fof(f72251,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f683]) ).
fof(f72252,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f72251]) ).
fof(f73088,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sK22,sK23),sK24),k3_xboole_0(k5_relat_1(sK22,sK24),k5_relat_1(sK23,sK24)))
& v1_relat_1(sK24)
& v1_relat_1(sK23)
& v1_relat_1(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X2,sK24)],[f71141]) ).
fof(f73791,plain,
v1_relat_1(sK22),
inference(cnf_transformation,[],[f73088]) ).
fof(f73792,plain,
v1_relat_1(sK23),
inference(cnf_transformation,[],[f73088]) ).
fof(f73793,plain,
v1_relat_1(sK24),
inference(cnf_transformation,[],[f73088]) ).
fof(f73794,plain,
~ r1_tarski(k5_relat_1(k3_xboole_0(sK22,sK23),sK24),k3_xboole_0(k5_relat_1(sK22,sK24),k5_relat_1(sK23,sK24))),
inference(cnf_transformation,[],[f73088]) ).
fof(f73932,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f71258]) ).
fof(f73938,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f74050,plain,
! [X2,X0,X1] :
( r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f71343]) ).
fof(f75590,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f72252]) ).
fof(f75654,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f75667,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f105]) ).
fof(f76640,plain,
~ r1_tarski(k5_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)),sK24),k4_xboole_0(k5_relat_1(sK22,sK24),k4_xboole_0(k5_relat_1(sK22,sK24),k5_relat_1(sK23,sK24)))),
inference(definition_unfolding,[],[f73794,f75654,f75654]) ).
fof(f76737,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(definition_unfolding,[],[f73932,f75654]) ).
fof(f76743,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f73938,f75654,f75654]) ).
fof(f77911,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1),
inference(superposition,[],[f75667,f76743]) ).
fof(f77939,definition,
( spl508_20
<=> r1_tarski(k5_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)),sK24),k5_relat_1(sK22,sK24)) ),
introduced(definition,[new_symbols(definition,[spl508_20])],[avatar_definition]) ).
fof(f77941,plain,
( ~ r1_tarski(k5_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)),sK24),k5_relat_1(sK22,sK24))
| spl508_20 ),
inference(avatar_component_clause,[],[f77939]) ).
fof(f78601,plain,
( ~ r1_tarski(k5_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)),sK24),k5_relat_1(sK22,sK24))
| ~ r1_tarski(k5_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)),sK24),k5_relat_1(sK23,sK24)) ),
inference(resolution,[],[f76737,f76640]) ).
fof(f78622,definition,
( spl508_21
<=> r1_tarski(k5_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)),sK24),k5_relat_1(sK23,sK24)) ),
introduced(definition,[new_symbols(definition,[spl508_21])],[avatar_definition]) ).
fof(f78624,plain,
( ~ r1_tarski(k5_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)),sK24),k5_relat_1(sK23,sK24))
| spl508_21 ),
inference(avatar_component_clause,[],[f78622]) ).
fof(f78625,plain,
( ~ spl508_21
| ~ spl508_20 ),
inference(avatar_split_clause,[],[f78601,f77939,f78622]) ).
fof(f78627,plain,
( ~ r1_tarski(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)),sK22)
| ~ v1_relat_1(sK24)
| ~ v1_relat_1(sK22)
| ~ v1_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)))
| spl508_20 ),
inference(resolution,[],[f77941,f74050]) ).
fof(f78632,plain,
( ~ v1_relat_1(sK24)
| ~ v1_relat_1(sK22)
| ~ v1_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)))
| spl508_20 ),
inference(forward_subsumption_resolution,[],[f78627,f75667]) ).
fof(f78634,plain,
( ~ v1_relat_1(sK22)
| ~ v1_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)))
| spl508_20 ),
inference(forward_subsumption_resolution,[],[f78632,f73793]) ).
fof(f78636,plain,
( ~ v1_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)))
| spl508_20 ),
inference(forward_subsumption_resolution,[],[f78634,f73791]) ).
fof(f78638,plain,
( ~ v1_relat_1(sK22)
| ~ v1_relat_1(k4_xboole_0(sK22,sK23))
| spl508_20 ),
inference(resolution,[],[f78636,f75590]) ).
fof(f78639,plain,
( ~ v1_relat_1(k4_xboole_0(sK22,sK23))
| spl508_20 ),
inference(forward_subsumption_resolution,[],[f78638,f73791]) ).
fof(f78640,plain,
( ~ v1_relat_1(sK22)
| ~ v1_relat_1(sK23)
| spl508_20 ),
inference(resolution,[],[f78639,f75590]) ).
fof(f78641,plain,
( ~ v1_relat_1(sK23)
| spl508_20 ),
inference(forward_subsumption_resolution,[],[f78640,f73791]) ).
fof(f78642,plain,
( $false
| spl508_20 ),
inference(forward_subsumption_resolution,[],[f78641,f73792]) ).
fof(f78643,plain,
spl508_20,
inference(avatar_contradiction_clause,[],[f78642]) ).
fof(f78644,plain,
( ~ r1_tarski(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)),sK23)
| ~ v1_relat_1(sK24)
| ~ v1_relat_1(sK23)
| ~ v1_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)))
| spl508_21 ),
inference(resolution,[],[f78624,f74050]) ).
fof(f78649,plain,
( ~ v1_relat_1(sK24)
| ~ v1_relat_1(sK23)
| ~ v1_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)))
| spl508_21 ),
inference(forward_subsumption_resolution,[],[f78644,f77911]) ).
fof(f78651,plain,
( ~ v1_relat_1(sK23)
| ~ v1_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)))
| spl508_21 ),
inference(forward_subsumption_resolution,[],[f78649,f73793]) ).
fof(f78653,plain,
( ~ v1_relat_1(k4_xboole_0(sK22,k4_xboole_0(sK22,sK23)))
| spl508_21 ),
inference(forward_subsumption_resolution,[],[f78651,f73792]) ).
fof(f78655,plain,
( ~ v1_relat_1(sK22)
| ~ v1_relat_1(k4_xboole_0(sK22,sK23))
| spl508_21 ),
inference(resolution,[],[f78653,f75590]) ).
fof(f78656,plain,
( ~ v1_relat_1(k4_xboole_0(sK22,sK23))
| spl508_21 ),
inference(forward_subsumption_resolution,[],[f78655,f73791]) ).
fof(f78657,plain,
( ~ v1_relat_1(sK22)
| ~ v1_relat_1(sK23)
| spl508_21 ),
inference(resolution,[],[f78656,f75590]) ).
fof(f78658,plain,
( ~ v1_relat_1(sK23)
| spl508_21 ),
inference(forward_subsumption_resolution,[],[f78657,f73791]) ).
fof(f78659,plain,
( $false
| spl508_21 ),
inference(forward_subsumption_resolution,[],[f78658,f73792]) ).
fof(f78660,plain,
spl508_21,
inference(avatar_contradiction_clause,[],[f78659]) ).
cnf(s25,plain,
( ~ spl508_20
| ~ spl508_21 ),
inference(sat_conversion,[],[f78625]) ).
cnf(s26,plain,
spl508_20,
inference(sat_conversion,[],[f78643]) ).
cnf(s27,plain,
spl508_21,
inference(sat_conversion,[],[f78660]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s25,s27,s26]) ).
fof(f78661,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU418+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n019.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 05:17:33 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 19.29/8.30 % (3688740)Detected formulas, will run a generic FOF schedule.
% 19.29/8.30 % (3688749)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=15027770:i=119:av=off:ss=axioms_2944 on theBenchmark for (2944ds/119Mi)
% 19.29/8.30 % (3688746)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=2518623515:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2944 on theBenchmark for (2944ds/134677Mi)
% 19.29/8.30 % (3688745)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=1330097916:i=141193_2944 on theBenchmark for (2944ds/141193Mi)
% 19.29/8.30 % (3688747)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=2597590058:i=141695:sd=1:nm=32:gsp=on:ss=included_2944 on theBenchmark for (2944ds/141695Mi)
% 19.29/8.30 % (3688748)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1776771841:i=109:sd=1:ins=1:gsp=on:ss=axioms_2944 on theBenchmark for (2944ds/109Mi)
% 19.29/8.30 % (3688751)dis-21_1_sil=8000:lcm=predicate:random_seed=231995316:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2944 on theBenchmark for (2944ds/129Mi)
% 19.29/8.30 % (3688750)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1697474221:s2a=on:i=139:gtg=position_2944 on theBenchmark for (2944ds/139Mi)
% 19.29/8.30 % (3688749)Instruction limit reached!
% 19.29/8.30 % (3688749)------------------------------
% 19.29/8.30 % (3688749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/8.30 % (3688749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/8.30 % (3688749)CaDiCaL version: 2.1.3
% 19.29/8.30 % (3688749)Termination reason: Instruction limit
% 19.29/8.30 % (3688749)Termination phase: SInE selection
% 19.29/8.30 % (3688749)Time elapsed: 0.056 s
% 19.29/8.30 % (3688749)Peak memory usage: 201 MB
% 19.29/8.30 % (3688749)Instructions burned: 120 (million)
% 19.29/8.30 % (3688750)Instruction limit reached!
% 19.29/8.30 % (3688750)------------------------------
% 19.29/8.30 % (3688750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/8.30 % (3688750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/8.30 % (3688750)CaDiCaL version: 2.1.3
% 19.29/8.30 % (3688750)Termination reason: Instruction limit
% 19.29/8.30 % (3688750)Termination phase: Property scanning
% 19.29/8.30 % (3688750)Time elapsed: 0.069 s
% 19.29/8.30 % (3688750)Peak memory usage: 201 MB
% 19.29/8.30 % (3688750)Instructions burned: 141 (million)
% 19.29/8.30 % (3688748)Instruction limit reached!
% 19.29/8.30 % (3688748)------------------------------
% 19.29/8.30 % (3688748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/8.30 % (3688748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/8.30 % (3688748)CaDiCaL version: 2.1.3
% 19.29/8.30 % (3688748)Termination reason: Instruction limit
% 19.29/8.30 % (3688748)Termination phase: SInE selection
% 19.29/8.30 % (3688748)Time elapsed: 0.087 s
% 19.29/8.30 % (3688748)Peak memory usage: 201 MB
% 19.29/8.30 % (3688748)Instructions burned: 110 (million)
% 19.29/8.30 % (3688751)Instruction limit reached!
% 19.29/8.30 % (3688751)------------------------------
% 19.29/8.30 % (3688751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.29/8.30 % (3688751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.29/8.30 % (3688751)CaDiCaL version: 2.1.3
% 19.29/8.30 % (3688751)Termination reason: Instruction limit
% 19.29/8.30 % (3688751)Termination phase: SInE selection
% 19.29/8.30 % (3688751)Time elapsed: 0.100 s
% 19.29/8.30 % (3688751)Peak memory usage: 200 MB
% 19.29/8.30 % (3688751)Instructions burned: 130 (million)
% 19.29/8.30 % (3688759)lrs+10_1_sil=8000:sp=occurrence:random_seed=799803892:i=285:sd=3:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/285Mi)
% 19.29/8.30 % (3688760)lrs+10_1_sil=32000:urr=on:br=off:random_seed=190961146:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/157Mi)
% 19.29/8.30 % (3688761)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3268836057:i=325:sd=1:ss=axioms:sgt=32_2942 on theBenchmark for (2942ds/325Mi)
% 19.29/8.30 % (3688762)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=617401432:s2a=on:i=248:s2at=1.23:gtg=position_2941 on theBenchmark for (2941ds/248Mi)
% 19.29/8.30 % (3688759)Instruction limit reached!
% 25.93/9.27 % (3688759)------------------------------
% 25.93/9.27 % (3688759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.93/9.27 % (3688759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.93/9.27 % (3688759)CaDiCaL version: 2.1.3
% 25.93/9.27 % (3688759)Termination reason: Instruction limit
% 25.93/9.27 % (3688759)Termination phase: SInE selection
% 25.93/9.27 % (3688759)Time elapsed: 0.124 s
% 25.93/9.27 % (3688759)Peak memory usage: 201 MB
% 25.93/9.27 % (3688759)Instructions burned: 287 (million)
% 25.93/9.27 % (3688760)Instruction limit reached!
% 25.93/9.27 % (3688760)------------------------------
% 25.93/9.27 % (3688760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.93/9.27 % (3688760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.93/9.27 % (3688760)CaDiCaL version: 2.1.3
% 25.93/9.27 % (3688760)Termination reason: Instruction limit
% 25.93/9.27 % (3688760)Termination phase: Property scanning
% 25.93/9.27 % (3688760)Time elapsed: 0.076 s
% 25.93/9.27 % (3688760)Peak memory usage: 201 MB
% 25.93/9.27 % (3688760)Instructions burned: 159 (million)
% 25.93/9.27 % (3688762)Instruction limit reached!
% 25.93/9.27 % (3688762)------------------------------
% 25.93/9.27 % (3688762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.93/9.27 % (3688762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.93/9.27 % (3688762)CaDiCaL version: 2.1.3
% 25.93/9.27 % (3688762)Termination reason: Instruction limit
% 25.93/9.27 % (3688762)Termination phase: Property scanning
% 25.93/9.27 % (3688762)Time elapsed: 0.116 s
% 25.93/9.27 % (3688762)Peak memory usage: 201 MB
% 25.93/9.27 % (3688762)Instructions burned: 249 (million)
% 25.93/9.27 % (3688767)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3879476787:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2940 on theBenchmark for (2940ds/294Mi)
% 25.93/9.27 % (3688761)Instruction limit reached!
% 25.93/9.27 % (3688761)------------------------------
% 25.93/9.27 % (3688761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.93/9.27 % (3688761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.93/9.27 % (3688761)CaDiCaL version: 2.1.3
% 25.93/9.27 % (3688761)Termination reason: Instruction limit
% 25.93/9.27 % (3688761)Termination phase: SInE selection
% 25.93/9.27 % (3688761)Time elapsed: 0.240 s
% 25.93/9.27 % (3688761)Peak memory usage: 201 MB
% 25.93/9.27 % (3688761)Instructions burned: 326 (million)
% 25.93/9.27 % (3688768)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=894513158:i=2350_2939 on theBenchmark for (2939ds/2350Mi)
% 25.93/9.27 % (3688767)Instruction limit reached!
% 25.93/9.27 % (3688767)------------------------------
% 25.93/9.27 % (3688767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.93/9.27 % (3688767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.93/9.27 % (3688767)CaDiCaL version: 2.1.3
% 25.93/9.27 % (3688767)Termination reason: Instruction limit
% 25.93/9.27 % (3688767)Termination phase: SInE selection
% 25.93/9.27 % (3688767)Time elapsed: 0.125 s
% 25.93/9.27 % (3688767)Peak memory usage: 201 MB
% 25.93/9.27 % (3688767)Instructions burned: 295 (million)
% 25.93/9.27 % (3688769)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2194913168:cts=off:i=113:fsr=off:ss=included:sgt=4_2939 on theBenchmark for (2939ds/113Mi)
% 25.93/9.27 % (3688772)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=264082605:i=127:av=off:fsr=off:sup=off_2938 on theBenchmark for (2938ds/127Mi)
% 25.93/9.27 % (3688769)Instruction limit reached!
% 25.93/9.27 % (3688769)------------------------------
% 25.93/9.27 % (3688769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.93/9.27 % (3688769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.93/9.27 % (3688769)CaDiCaL version: 2.1.3
% 25.93/9.27 % (3688769)Termination reason: Instruction limit
% 25.93/9.27 % (3688769)Termination phase: SInE selection
% 25.93/9.27 % (3688769)Time elapsed: 0.091 s
% 25.93/9.27 % (3688769)Peak memory usage: 201 MB
% 25.93/9.27 % (3688769)Instructions burned: 114 (million)
% 25.93/9.27 % (3688773)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=799420143:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2937 on theBenchmark for (2937ds/114Mi)
% 25.93/9.27 % (3688773)Instruction limit reached!
% 25.93/9.27 % (3688773)------------------------------
% 25.93/9.27 % (3688773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688773)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688773)Termination reason: Instruction limit
% 17.35/10.32 % (3688773)Termination phase: Property scanning
% 17.35/10.32 % (3688773)Time elapsed: 0.033 s
% 17.35/10.32 % (3688773)Peak memory usage: 201 MB
% 17.35/10.32 % (3688773)Instructions burned: 115 (million)
% 17.35/10.32 % (3688772)Instruction limit reached!
% 17.35/10.32 % (3688772)------------------------------
% 17.35/10.32 % (3688772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688772)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688772)Termination reason: Instruction limit
% 17.35/10.32 % (3688772)Termination phase: Preprocessing 1
% 17.35/10.32 % (3688772)Time elapsed: 0.100 s
% 17.35/10.32 % (3688772)Peak memory usage: 202 MB
% 17.35/10.32 % (3688772)Instructions burned: 127 (million)
% 17.35/10.32 % (3688776)lrs+10_1_sil=8000:sp=occurrence:random_seed=478286625:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2936 on theBenchmark for (2936ds/907Mi)
% 17.35/10.32 % (3688778)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=816001798:i=437:sd=1:aac=none:ss=included_2935 on theBenchmark for (2935ds/437Mi)
% 17.35/10.32 % (3688779)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1208420558:i=5202:ss=axioms:sgt=16_2935 on theBenchmark for (2935ds/5202Mi)
% 17.35/10.32 % (3688778)Instruction limit reached!
% 17.35/10.32 % (3688778)------------------------------
% 17.35/10.32 % (3688778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688778)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688778)Termination reason: Instruction limit
% 17.35/10.32 % (3688778)Termination phase: SInE selection
% 17.35/10.32 % (3688778)Time elapsed: 0.182 s
% 17.35/10.32 % (3688778)Peak memory usage: 202 MB
% 17.35/10.32 % (3688778)Instructions burned: 438 (million)
% 17.35/10.32 % (3688783)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2494121275:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2932 on theBenchmark for (2932ds/134Mi)
% 17.35/10.32 % (3688783)Instruction limit reached!
% 17.35/10.32 % (3688783)------------------------------
% 17.35/10.32 % (3688783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688783)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688783)Termination reason: Instruction limit
% 17.35/10.32 % (3688783)Termination phase: SInE selection
% 17.35/10.32 % (3688783)Time elapsed: 0.058 s
% 17.35/10.32 % (3688783)Peak memory usage: 201 MB
% 17.35/10.32 % (3688783)Instructions burned: 136 (million)
% 17.35/10.32 % (3688785)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3677895219:st=8:i=592:sd=3:ep=RST:ss=axioms_2930 on theBenchmark for (2930ds/592Mi)
% 17.35/10.32 % (3688776)Instruction limit reached!
% 17.35/10.32 % (3688776)------------------------------
% 17.35/10.32 % (3688776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688776)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688776)Termination reason: Instruction limit
% 17.35/10.32 % (3688776)Termination phase: Preprocessing 3
% 17.35/10.32 % (3688776)Time elapsed: 0.654 s
% 17.35/10.32 % (3688776)Peak memory usage: 209 MB
% 17.35/10.32 % (3688776)Instructions burned: 909 (million)
% 17.35/10.32 % (3688785)Instruction limit reached!
% 17.35/10.32 % (3688785)------------------------------
% 17.35/10.32 % (3688785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688785)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688785)Termination reason: Instruction limit
% 17.35/10.32 % (3688785)Termination phase: SInE selection
% 17.35/10.32 % (3688785)Time elapsed: 0.230 s
% 17.35/10.32 % (3688785)Peak memory usage: 203 MB
% 17.35/10.32 % (3688785)Instructions burned: 593 (million)
% 17.35/10.32 % (3688787)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1986295428:st=3:i=13193:sd=3:ss=axioms_2928 on theBenchmark for (2928ds/13193Mi)
% 17.35/10.32 % (3688788)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=256210048:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2926 on theBenchmark for (2926ds/125Mi)
% 17.35/10.32 % (3688788)Instruction limit reached!
% 17.35/10.32 % (3688788)------------------------------
% 17.35/10.32 % (3688788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688788)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688788)Termination reason: Instruction limit
% 17.35/10.32 % (3688788)Termination phase: Property scanning
% 17.35/10.32 % (3688788)Time elapsed: 0.035 s
% 17.35/10.32 % (3688788)Peak memory usage: 201 MB
% 17.35/10.32 % (3688788)Instructions burned: 129 (million)
% 17.35/10.32 % (3688791)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1925713128:i=134:gtgl=5:slsql=off:gtg=exists_sym_2925 on theBenchmark for (2925ds/134Mi)
% 17.35/10.32 % (3688791)Instruction limit reached!
% 17.35/10.32 % (3688791)------------------------------
% 17.35/10.32 % (3688791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688791)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688791)Termination reason: Instruction limit
% 17.35/10.32 % (3688791)Termination phase: Property scanning
% 17.35/10.32 % (3688791)Time elapsed: 0.037 s
% 17.35/10.32 % (3688791)Peak memory usage: 201 MB
% 17.35/10.32 % (3688791)Instructions burned: 136 (million)
% 17.35/10.32 % (3688793)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=424846026:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2923 on theBenchmark for (2923ds/141Mi)
% 17.35/10.32 % (3688793)Instruction limit reached!
% 17.35/10.32 % (3688793)------------------------------
% 17.35/10.32 % (3688793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688793)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688793)Termination reason: Instruction limit
% 17.35/10.32 % (3688793)Termination phase: SInE selection
% 17.35/10.32 % (3688793)Time elapsed: 0.062 s
% 17.35/10.32 % (3688793)Peak memory usage: 201 MB
% 17.35/10.32 % (3688793)Instructions burned: 141 (million)
% 17.35/10.32 % (3688795)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2208008080:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2921 on theBenchmark for (2921ds/431Mi)
% 17.35/10.32 % (3688768)Instruction limit reached!
% 17.35/10.32 % (3688768)------------------------------
% 17.35/10.32 % (3688768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688768)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688768)Termination reason: Instruction limit
% 17.35/10.32 % (3688768)Termination phase: Preprocessing 3
% 17.35/10.32 % (3688768)Time elapsed: 1.901 s
% 17.35/10.32 % (3688768)Peak memory usage: 305 MB
% 17.35/10.32 % (3688768)Instructions burned: 2351 (million)
% 17.35/10.32 % (3688795)Instruction limit reached!
% 17.35/10.32 % (3688795)------------------------------
% 17.35/10.32 % (3688795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688795)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688795)Termination reason: Instruction limit
% 17.35/10.32 % (3688795)Termination phase: SInE selection
% 17.35/10.32 % (3688795)Time elapsed: 0.191 s
% 17.35/10.32 % (3688795)Peak memory usage: 202 MB
% 17.35/10.32 % (3688795)Instructions burned: 431 (million)
% 17.35/10.32 % (3688797)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=1117397249:i=6060:aac=none:ins=25_2918 on theBenchmark for (2918ds/6060Mi)
% 17.35/10.32 % (3688798)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=179889706:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2917 on theBenchmark for (2917ds/150Mi)
% 17.35/10.32 % (3688798)Instruction limit reached!
% 17.35/10.32 % (3688798)------------------------------
% 17.35/10.32 % (3688798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.35/10.32 % (3688798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/10.32 % (3688798)CaDiCaL version: 2.1.3
% 17.35/10.32 % (3688798)Termination reason: Instruction limit
% 34.01/10.54 % (3688798)Termination phase: SInE selection
% 34.01/10.54 % (3688798)Time elapsed: 0.067 s
% 34.01/10.54 % (3688798)Peak memory usage: 201 MB
% 34.01/10.54 % (3688798)Instructions burned: 152 (million)
% 34.01/10.54 % (3688801)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=373230995:i=14155:bd=all_2915 on theBenchmark for (2915ds/14155Mi)
% 34.01/10.54 % (3688779)First to succeed.
% 34.01/10.54 % (3688779)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3688740"
% 34.01/10.54 % (3688779)Refutation found. Thanks to Tanya!
% 34.01/10.54 % SZS status Theorem for theBenchmark
% 34.01/10.54 % SZS output start Proof for theBenchmark
% See solution above
% 34.01/10.54 % (3688779)------------------------------
% 34.01/10.54 % (3688779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.01/10.54 % (3688779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.01/10.54 % (3688779)CaDiCaL version: 2.1.3
% 34.01/10.54 % (3688779)Termination reason: Refutation
% 34.01/10.54 % (3688779)Time elapsed: 2.426 s
% 34.01/10.54 % (3688779)Peak memory usage: 297 MB
% 34.01/10.54 % (3688779)Instructions burned: 3639 (million)
% 34.01/10.54 % (3688779)------------------------------
% 34.01/10.54 % (3688779)------------------------------
% 34.01/10.54 % (3688740)Success in time 9.459 s
% 34.01/10.54 % Vampire exiting
%------------------------------------------------------------------------------