%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU217+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:52:26 PM UTC 2026
% Result : Theorem 0.87s 0.60s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 52 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 22 ~; 19 |; 6 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f78,axiom,
! [X0] :
( relation(identity_relation(X0))
& function(identity_relation(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f164,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f165,conjecture,
! [X0,X1] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_funct_1) ).
fof(f166,negated_conjecture,
~ ! [X0,X1] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
inference(negated_conjecture,[status(cth)],[f165]) ).
fof(f360,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f164]) ).
fof(f361,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f360]) ).
fof(f362,plain,
? [X0,X1] :
( apply(identity_relation(X0),X1) != X1
& in(X1,X0) ),
inference(ennf_transformation,[],[f166]) ).
fof(f568,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f62]) ).
fof(f585,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f78]) ).
fof(f710,plain,
! [X2,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X0)
| apply(X1,X2) = X2
| identity_relation(X0) != X1 ),
inference(cnf_transformation,[],[f361]) ).
fof(f712,plain,
in(sK67,sK66),
inference(cnf_transformation,[],[f362]) ).
fof(f713,plain,
sK67 != apply(identity_relation(sK66),sK67),
inference(cnf_transformation,[],[f362]) ).
fof(f1002,plain,
! [X2,X0] :
( ~ function(identity_relation(X0))
| ~ relation(identity_relation(X0))
| ~ in(X2,X0)
| apply(identity_relation(X0),X2) = X2 ),
inference(equality_resolution,[],[f710]) ).
fof(f1046,plain,
! [X0] : ~ function(identity_relation(X0)),
inference(consistent_polarity_flipping,[],[f585]) ).
fof(f1098,plain,
! [X2,X0] :
( function(identity_relation(X0))
| ~ relation(identity_relation(X0))
| ~ in(X2,X0)
| apply(identity_relation(X0),X2) = X2 ),
inference(consistent_polarity_flipping,[],[f1002]) ).
fof(f3573,plain,
! [X2,X0] :
( ~ relation(identity_relation(X0))
| ~ in(X2,X0)
| apply(identity_relation(X0),X2) = X2 ),
inference(forward_subsumption_resolution,[],[f1098,f1046]) ).
fof(f3574,plain,
! [X2,X0] :
( ~ in(X2,X0)
| apply(identity_relation(X0),X2) = X2 ),
inference(forward_subsumption_resolution,[],[f3573,f568]) ).
fof(f3634,plain,
sK67 = apply(identity_relation(sK66),sK67),
inference(resolution,[],[f3574,f712]) ).
fof(f3642,plain,
$false,
inference(forward_subsumption_resolution,[],[f3634,f713]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU217+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n008.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 04:06:55 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.44 Running first-order model finding
% 0.10/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/0.60 % (1857944)Will run a generic schedule for satisfiability detection.
% 0.87/0.60 % (1857955)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2460944171:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.87/0.60 % (1857951)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4050147772:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.87/0.60 % (1857950)% WARNING: option uhcvi not known.
% 0.87/0.60 % (1857952)dis+10_1_sil=32000:sp=arity:random_seed=308513852:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.87/0.60 % (1857949)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=550814844_2999 on theBenchmark for (2999ds/0Mi)
% 0.87/0.60 % (1857950)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=286277717:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.87/0.60 % (1857954)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=36702788:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.87/0.60 % (1857953)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2622735076:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.87/0.60 % (1857955)Instruction limit reached!
% 0.87/0.60 % (1857955)------------------------------
% 0.87/0.60 % (1857955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.60 % (1857955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.60 % (1857955)CaDiCaL version: 2.1.3
% 0.87/0.60 % (1857955)Termination reason: Instruction limit
% 0.87/0.60 % (1857955)Termination phase: Saturation
% 0.87/0.60 % (1857955)Time elapsed: 0.081 s
% 0.87/0.60 % (1857955)Peak memory usage: 14 MB
% 0.87/0.60 % (1857955)Instructions burned: 160 (million)
% 0.87/0.60 % TRYING [1]
% 0.87/0.60 % TRYING [2]
% 0.87/0.60 % (1857965)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1754370145:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.87/0.60 % (1857952)Instruction limit reached!
% 0.87/0.60 % (1857952)------------------------------
% 0.87/0.60 % (1857952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.60 % (1857952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.60 % (1857952)CaDiCaL version: 2.1.3
% 0.87/0.60 % (1857952)Termination reason: Instruction limit
% 0.87/0.60 % (1857952)Termination phase: Saturation
% 0.87/0.60 % (1857952)Time elapsed: 0.091 s
% 0.87/0.60 % (1857952)Peak memory usage: 13 MB
% 0.87/0.60 % (1857952)Instructions burned: 104 (million)
% 0.87/0.60 % (1857953)Instruction limit reached!
% 0.87/0.60 % (1857953)------------------------------
% 0.87/0.60 % (1857953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.60 % (1857953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.60 % (1857953)CaDiCaL version: 2.1.3
% 0.87/0.60 % (1857953)Termination reason: Instruction limit
% 0.87/0.60 % (1857953)Termination phase: Saturation
% 0.87/0.60 % (1857953)Time elapsed: 0.093 s
% 0.87/0.60 % (1857953)Peak memory usage: 13 MB
% 0.87/0.60 % (1857953)Instructions burned: 117 (million)
% 0.87/0.60 % TRYING [1]
% 0.87/0.60 % TRYING [2]
% 0.87/0.60 % TRYING [3]
% 0.87/0.60 % (1857950) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1857944-1857950"...
% 0.87/0.60 % (1857950)...printing done.
% 0.87/0.60 % (1857950)Refutation found. Thanks to Tanya!
% 0.87/0.60 % SZS status Theorem for theBenchmark
% 0.87/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.87/0.60 % (1857950)------------------------------
% 0.87/0.60 % (1857950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.60 % (1857950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.60 % (1857950)CaDiCaL version: 2.1.3
% 0.87/0.60 % (1857950)Termination reason: Refutation
% 0.87/0.60 % (1857950)Time elapsed: 0.104 s
% 0.87/0.60 % (1857950)Peak memory usage: 13 MB
% 0.87/0.60 % (1857950)Instructions burned: 118 (million)
% 0.87/0.60 % (1857944)Success in time 0.15 s
% 0.87/0.60 % Vampire exiting
%------------------------------------------------------------------------------