%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU303+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:48:15 PM UTC 2026
% Result : Theorem 2.69s 1.36s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 62 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 29 ~; 21 |; 13 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 17 ( 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0)
& finite(X1) )
=> finite(relation_image(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).
fof(f53,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f56,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f57,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f102,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f103,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(flattening,[],[f102]) ).
fof(f114,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f118,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f119,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(flattening,[],[f118]) ).
fof(f155,plain,
( ~ finite(relation_rng(sK26))
& finite(relation_dom(sK26))
& relation(sK26)
& function(sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X0,sK26)],[f119]) ).
fof(f181,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X0] :
( relation_rng(X0) = relation_image(X0,relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f279,plain,
function(sK26),
inference(cnf_transformation,[],[f155]) ).
fof(f280,plain,
relation(sK26),
inference(cnf_transformation,[],[f155]) ).
fof(f281,plain,
finite(relation_dom(sK26)),
inference(cnf_transformation,[],[f155]) ).
fof(f282,plain,
~ finite(relation_rng(sK26)),
inference(cnf_transformation,[],[f155]) ).
fof(f295,plain,
! [X0] :
( finite(relation_rng(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(relation_dom(X0))
| ~ relation(X0) ),
inference(superposition,[],[f181,f276]) ).
fof(f296,plain,
! [X0] :
( finite(relation_rng(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(relation_dom(X0)) ),
inference(duplicate_literal_removal,[],[f295]) ).
fof(f374,plain,
( ~ relation(sK26)
| ~ function(sK26)
| ~ finite(relation_dom(sK26)) ),
inference(resolution,[],[f296,f282]) ).
fof(f375,plain,
( ~ function(sK26)
| ~ finite(relation_dom(sK26)) ),
inference(forward_subsumption_resolution,[],[f374,f280]) ).
fof(f376,plain,
~ finite(relation_dom(sK26)),
inference(forward_subsumption_resolution,[],[f375,f279]) ).
fof(f377,plain,
$false,
inference(forward_subsumption_resolution,[],[f376,f281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU303+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n004.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 04:36:25 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.69/1.36 % (4150294)Detected formulas, will run a generic FOF schedule.
% 2.69/1.36 % (4150304)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2671526954:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.69/1.36 % (4150304)First to succeed.
% 2.69/1.36 % (4150304)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4150294"
% 2.69/1.36 % (4150303)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1117638698:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.69/1.36 % (4150301)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=305769412:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.69/1.36 % (4150300)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=70898673:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.69/1.36 % (4150302)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3555790230:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.69/1.36 % (4150299)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=3348921529:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.69/1.36 % (4150305)dis-21_1_sil=8000:lcm=predicate:random_seed=931858748:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.69/1.36 % (4150302)Refutation not found, incomplete strategy
% 2.69/1.36 % (4150302)------------------------------
% 2.69/1.36 % (4150302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.36 % (4150302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.36 % (4150302)CaDiCaL version: 2.1.3
% 2.69/1.36 % (4150302)Termination reason: Refutation not found, incomplete strategy
% 2.69/1.36 % (4150302)Time elapsed: 0.002 s
% 2.69/1.36 % (4150302)Peak memory usage: 88 MB
% 2.69/1.36 % (4150302)Instructions burned: 1 (million)
% 2.69/1.36 % (4150303)Refutation not found, incomplete strategy
% 2.69/1.36 % (4150303)------------------------------
% 2.69/1.36 % (4150303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.36 % (4150303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.36 % (4150303)CaDiCaL version: 2.1.3
% 2.69/1.36 % (4150303)Termination reason: Refutation not found, incomplete strategy
% 2.69/1.36 % (4150303)Time elapsed: 0.002 s
% 2.69/1.36 % (4150303)Peak memory usage: 87 MB
% 2.69/1.36 % (4150303)Instructions burned: 2 (million)
% 2.69/1.36 % (4150305)Instruction limit reached!
% 2.69/1.36 % (4150305)------------------------------
% 2.69/1.36 % (4150305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.36 % (4150305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.36 % (4150305)CaDiCaL version: 2.1.3
% 2.69/1.36 % (4150305)Termination reason: Instruction limit
% 2.69/1.36 % (4150305)Termination phase: Saturation
% 2.69/1.36 % (4150305)Time elapsed: 0.074 s
% 2.69/1.36 % (4150305)Peak memory usage: 92 MB
% 2.69/1.36 % (4150305)Instructions burned: 130 (million)
% 2.69/1.36 % (4150304)Refutation found. Thanks to Tanya!
% 2.69/1.36 % SZS status Theorem for theBenchmark
% 2.69/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.36 % (4150304)------------------------------
% 2.69/1.36 % (4150304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.36 % (4150304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.36 % (4150304)CaDiCaL version: 2.1.3
% 2.69/1.36 % (4150304)Termination reason: Refutation
% 2.69/1.36 % (4150304)Time elapsed: 0.004 s
% 2.69/1.36 % (4150304)Peak memory usage: 89 MB
% 2.69/1.36 % (4150304)Instructions burned: 8 (million)
% 2.69/1.36 % (4150304)------------------------------
% 2.69/1.36 % (4150304)------------------------------
% 2.69/1.36 % (4150294)Success in time 0.296 s
% 2.69/1.36 % Vampire exiting
%------------------------------------------------------------------------------