%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU303+1 : TPTP v9.3.1. Released v3.3.0.
% 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 3.88s 1.62s
% Output : Refutation 3.88s
% 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(f4,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(f6,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f8,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(f9,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f11,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f15,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f16,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(flattening,[],[f15]) ).
fof(f18,plain,
( ~ finite(relation_rng(sK1))
& finite(relation_dom(sK1))
& relation(sK1)
& function(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f16]) ).
fof(f19,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
function(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f25,plain,
relation(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f26,plain,
finite(relation_dom(sK1)),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
~ finite(relation_rng(sK1)),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X0] :
( finite(relation_rng(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(relation_dom(X0))
| ~ relation(X0) ),
inference(superposition,[],[f19,f22]) ).
fof(f29,plain,
! [X0] :
( finite(relation_rng(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(relation_dom(X0)) ),
inference(duplicate_literal_removal,[],[f28]) ).
fof(f30,plain,
( ~ relation(sK1)
| ~ function(sK1)
| ~ finite(relation_dom(sK1)) ),
inference(resolution,[],[f29,f27]) ).
fof(f31,plain,
( ~ function(sK1)
| ~ finite(relation_dom(sK1)) ),
inference(forward_subsumption_resolution,[],[f30,f25]) ).
fof(f32,plain,
~ finite(relation_dom(sK1)),
inference(forward_subsumption_resolution,[],[f31,f24]) ).
fof(f33,plain,
$false,
inference(forward_subsumption_resolution,[],[f32,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU303+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n004.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 28 04:37:23 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 3.88/1.62 % (4150889)Detected formulas, will run a generic FOF schedule.
% 3.88/1.62 % (4150950)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=565957389:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.88/1.62 % (4150953)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=54927945:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.88/1.62 % (4150951)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=1269813416:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.88/1.62 % (4150952)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=3478947245:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.88/1.62 % (4150954)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3447721097:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.88/1.62 % (4150954)Refutation not found, incomplete strategy
% 3.88/1.62 % (4150954)------------------------------
% 3.88/1.62 % (4150954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.62 % (4150953)Refutation not found, incomplete strategy
% 3.88/1.62 % (4150953)------------------------------
% 3.88/1.62 % (4150953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.62 % (4150954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.62 % (4150953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.62 % (4150954)CaDiCaL version: 2.1.3
% 3.88/1.62 % (4150954)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.62 % (4150954)Time elapsed: 0.001 s
% 3.88/1.62 % (4150953)CaDiCaL version: 2.1.3
% 3.88/1.62 % (4150953)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.62 % (4150953)Time elapsed: 0.001 s
% 3.88/1.62 % (4150953)Peak memory usage: 88 MB
% 3.88/1.62 % (4150954)Peak memory usage: 87 MB
% 3.88/1.62 % (4150955)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4233213970:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.88/1.62 % (4150955)First to succeed.
% 3.88/1.62 % (4150955)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4150889"
% 3.88/1.62 % (4150956)dis-21_1_sil=8000:lcm=predicate:random_seed=2621284941: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)
% 3.88/1.62 % (4150956)Refutation not found, incomplete strategy
% 3.88/1.62 % (4150956)------------------------------
% 3.88/1.62 % (4150956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.62 % (4150956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.62 % (4150956)CaDiCaL version: 2.1.3
% 3.88/1.62 % (4150956)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.62 % (4150956)Time elapsed: 0.002 s
% 3.88/1.62 % (4150956)Peak memory usage: 88 MB
% 3.88/1.62 % (4150954)------------------------------
% 3.88/1.62 % (4150954)------------------------------
% 3.88/1.62 % (4150953)------------------------------
% 3.88/1.62 % (4150953)------------------------------
% 3.88/1.62 % (4150956)------------------------------
% 3.88/1.62 % (4150956)------------------------------
% 3.88/1.62 % (4150955)Refutation found. Thanks to Tanya!
% 3.88/1.62 % SZS status Theorem for theBenchmark
% 3.88/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.62 % (4150955)------------------------------
% 3.88/1.62 % (4150955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.62 % (4150955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.62 % (4150955)CaDiCaL version: 2.1.3
% 3.88/1.62 % (4150955)Termination reason: Refutation
% 3.88/1.62 % (4150955)Time elapsed: 0.002 s
% 3.88/1.62 % (4150955)Peak memory usage: 89 MB
% 3.88/1.62 % (4150955)Instructions burned: 1 (million)
% 3.88/1.62 % (4150955)------------------------------
% 3.88/1.62 % (4150955)------------------------------
% 3.88/1.62 % (4150889)Success in time 0.457 s
% 3.88/1.62 % Vampire exiting
%------------------------------------------------------------------------------