%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU424+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:53:14 PM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 18 ~; 12 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 28 ( 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X2,k1_zfmisc_1(X0))
& m2_relset_1(X3,X0,X1) )
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_22__relset_2) ).
fof(f57,plain,
? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f70]) ).
fof(f83,plain,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f84,plain,
~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f57]) ).
fof(f85,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f57]) ).
fof(f86,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f57]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f181,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK0)
| ~ m2_relset_1(sK3,sK0,sK1) ),
inference(resolution,[],[f114,f84]) ).
fof(f182,plain,
( v1_xboole_0(sK0)
| ~ m2_relset_1(sK3,sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f181,f85]) ).
fof(f183,plain,
~ m2_relset_1(sK3,sK0,sK1),
inference(forward_subsumption_resolution,[],[f182,f86]) ).
fof(f184,plain,
$false,
inference(forward_subsumption_resolution,[],[f183,f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU424+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:23:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.47 % (2293743)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (2293754)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1032525903_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % (2293755)% WARNING: option uhcvi not known.
% 0.15/0.47 % TRYING [3]
% 0.15/0.47 % (2293755)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2409095045:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (2293756)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2121913731:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (2293757)dis+10_1_sil=32000:sp=arity:random_seed=1546562213:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (2293758)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3219992838:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (2293759)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4092982845:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (2293760)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3277044228:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (2293755) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2293743-2293755"...
% 0.15/0.47 % TRYING [4]
% 0.15/0.47 % (2293757) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2293743-2293757"...
% 0.15/0.47 % (2293758) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2293743-2293758"...
% 0.15/0.47 % (2293755)...printing done.
% 0.15/0.47 % (2293757)...printing done.
% 0.15/0.47 % (2293758)...printing done.
% 0.15/0.47 % (2293759) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2293743-2293759"...
% 0.15/0.47 % (2293759)...printing done.
% 0.15/0.47 % (2293755)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (2293755)------------------------------
% 0.15/0.47 % (2293755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (2293755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (2293755)CaDiCaL version: 2.1.3
% 0.15/0.47 % (2293755)Termination reason: Refutation
% 0.15/0.47 % (2293755)Time elapsed: 0.005 s
% 0.15/0.47 % (2293755)Peak memory usage: 12 MB
% 0.15/0.47 % (2293755)Instructions burned: 5 (million)
% 0.15/0.47 % (2293743)Success in time 0.046 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------