%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU303+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 4.04s 1.52s
% Output : Refutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 58 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 25 ~; 17 |; 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 : 15 ( 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0)
& finite(X1) )
=> finite(relation_image(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc13_finset_1) ).
fof(f277,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f318,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f319,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f318]) ).
fof(f523,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f277]) ).
fof(f584,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f319]) ).
fof(f585,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(flattening,[],[f584]) ).
fof(f775,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f138]) ).
fof(f776,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(flattening,[],[f775]) ).
fof(f1063,plain,
( ~ finite(relation_rng(sK122))
& finite(relation_dom(sK122))
& relation(sK122)
& function(sK122) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122]),skolemize(X0,sK122)],[f585]) ).
fof(f1622,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
inference(cnf_transformation,[],[f523]) ).
fof(f1678,plain,
function(sK122),
inference(cnf_transformation,[],[f1063]) ).
fof(f1679,plain,
relation(sK122),
inference(cnf_transformation,[],[f1063]) ).
fof(f1680,plain,
finite(relation_dom(sK122)),
inference(cnf_transformation,[],[f1063]) ).
fof(f1681,plain,
~ finite(relation_rng(sK122)),
inference(cnf_transformation,[],[f1063]) ).
fof(f2218,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(cnf_transformation,[],[f776]) ).
fof(f6140,plain,
relation_rng(sK122) = relation_image(sK122,relation_dom(sK122)),
inference(resolution,[],[f1622,f1679]) ).
fof(f9690,plain,
( finite(relation_rng(sK122))
| ~ relation(sK122)
| ~ function(sK122)
| ~ finite(relation_dom(sK122)) ),
inference(superposition,[],[f2218,f6140]) ).
fof(f9692,plain,
( ~ relation(sK122)
| ~ function(sK122)
| ~ finite(relation_dom(sK122)) ),
inference(forward_subsumption_resolution,[],[f9690,f1681]) ).
fof(f9693,plain,
( ~ function(sK122)
| ~ finite(relation_dom(sK122)) ),
inference(forward_subsumption_resolution,[],[f9692,f1679]) ).
fof(f9694,plain,
~ finite(relation_dom(sK122)),
inference(forward_subsumption_resolution,[],[f9693,f1678]) ).
fof(f9695,plain,
$false,
inference(forward_subsumption_resolution,[],[f9694,f1680]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU303+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 04:37:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 4.04/1.52 % (4150945)Detected formulas, will run a generic FOF schedule.
% 4.04/1.52 % (4150973)dis-21_1_sil=8000:lcm=predicate:random_seed=3188510725: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)
% 4.04/1.52 % (4150973)Instruction limit reached!
% 4.04/1.52 % (4150973)------------------------------
% 4.04/1.52 % (4150973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.52 % (4150973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.52 % (4150973)CaDiCaL version: 2.1.3
% 4.04/1.52 % (4150973)Termination reason: Instruction limit
% 4.04/1.52 % (4150973)Termination phase: Saturation
% 4.04/1.52 % (4150973)Time elapsed: 0.035 s
% 4.04/1.52 % (4150973)Peak memory usage: 90 MB
% 4.04/1.52 % (4150973)Instructions burned: 131 (million)
% 4.04/1.52 % (4150971)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3198313140:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.04/1.52 % (4150968)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=2916366803:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.04/1.52 % (4150972)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=864888625:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.04/1.52 % (4150970)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3010121968:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.04/1.52 % (4150969)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=1886054496:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.04/1.52 % (4150970)Instruction limit reached!
% 4.04/1.52 % (4150970)------------------------------
% 4.04/1.52 % (4150970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.52 % (4150970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.52 % (4150970)CaDiCaL version: 2.1.3
% 4.04/1.52 % (4150970)Termination reason: Instruction limit
% 4.04/1.52 % (4150970)Termination phase: Saturation
% 4.04/1.52 % (4150970)Time elapsed: 0.061 s
% 4.04/1.52 % (4150970)Peak memory usage: 91 MB
% 4.04/1.52 % (4150970)Instructions burned: 109 (million)
% 4.04/1.52 % (4150967)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=3803340302:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.04/1.52 % (4150971)Instruction limit reached!
% 4.04/1.52 % (4150971)------------------------------
% 4.04/1.52 % (4150971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.52 % (4150971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.52 % (4150971)CaDiCaL version: 2.1.3
% 4.04/1.52 % (4150971)Termination reason: Instruction limit
% 4.04/1.52 % (4150971)Termination phase: Saturation
% 4.04/1.52 % (4150971)Time elapsed: 0.078 s
% 4.04/1.52 % (4150971)Peak memory usage: 90 MB
% 4.04/1.52 % (4150971)Instructions burned: 120 (million)
% 4.04/1.52 % (4150972)Instruction limit reached!
% 4.04/1.52 % (4150972)------------------------------
% 4.04/1.52 % (4150972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.52 % (4150972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.52 % (4150972)CaDiCaL version: 2.1.3
% 4.04/1.52 % (4150972)Termination reason: Instruction limit
% 4.04/1.52 % (4150972)Termination phase: Saturation
% 4.04/1.52 % (4150972)Time elapsed: 0.090 s
% 4.04/1.52 % (4150972)Peak memory usage: 91 MB
% 4.04/1.52 % (4150972)Instructions burned: 139 (million)
% 4.04/1.52 % (4150980)lrs+10_1_sil=8000:sp=occurrence:random_seed=2755314647:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.04/1.52 % (4150981)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3998472601:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.04/1.52 % (4150980)First to succeed.
% 4.04/1.52 % (4150980)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4150945"
% 4.04/1.52 % (4150983)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3586896337:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.04/1.52 % (4150985)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=692376405:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.04/1.52 % (4150981)Instruction limit reached!
% 4.04/1.52 % (4150981)------------------------------
% 4.04/1.52 % (4150981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.52 % (4150981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.52 % (4150981)CaDiCaL version: 2.1.3
% 4.04/1.52 % (4150981)Termination reason: Instruction limit
% 4.04/1.52 % (4150981)Termination phase: Saturation
% 4.04/1.52 % (4150981)Time elapsed: 0.083 s
% 4.04/1.52 % (4150981)Peak memory usage: 92 MB
% 4.04/1.52 % (4150981)Instructions burned: 158 (million)
% 4.04/1.52 % (4150980)Refutation found. Thanks to Tanya!
% 4.04/1.52 % SZS status Theorem for theBenchmark
% 4.04/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 4.04/1.52 % (4150980)------------------------------
% 4.04/1.52 % (4150980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.52 % (4150980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.52 % (4150980)CaDiCaL version: 2.1.3
% 4.04/1.52 % (4150980)Termination reason: Refutation
% 4.04/1.52 % (4150980)Time elapsed: 0.102 s
% 4.04/1.52 % (4150980)Peak memory usage: 95 MB
% 4.04/1.52 % (4150980)Instructions burned: 283 (million)
% 4.04/1.52 % (4150980)------------------------------
% 4.04/1.52 % (4150980)------------------------------
% 4.04/1.52 % (4150945)Success in time 0.491 s
% 4.04/1.52 % Vampire exiting
%------------------------------------------------------------------------------