%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU429+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:53:16 PM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% 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 : 41 ( 17 ~; 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 : 30 ( 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
& m2_relset_1(X3,X0,X1) )
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_38__relset_2) ).
fof(f61,plain,
? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_1_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(k1_zfmisc_1(X0))) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f83]) ).
fof(f96,plain,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f61]) ).
fof(f97,plain,
~ m1_subset_1(a_4_1_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f61]) ).
fof(f98,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f61]) ).
fof(f99,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f61]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f84]) ).
fof(f249,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| v1_xboole_0(sK0)
| m1_subset_1(a_4_1_relset_2(sK0,sK1,X0,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(resolution,[],[f144,f96]) ).
fof(f253,plain,
! [X0] :
( m1_subset_1(a_4_1_relset_2(sK0,sK1,X0,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(forward_subsumption_resolution,[],[f249,f99]) ).
fof(f256,plain,
~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(resolution,[],[f253,f97]) ).
fof(f257,plain,
$false,
inference(forward_subsumption_resolution,[],[f256,f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU429+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n010.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
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 05:23:17 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.46 % (1591837)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (1591846)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4064477076:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (1591843)% WARNING: option uhcvi not known.
% 0.12/0.46 % (1591846) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1591837-1591846"...
% 0.12/0.46 % (1591846)...printing done.
% 0.12/0.46 % (1591846)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (1591846)------------------------------
% 0.12/0.46 % (1591846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (1591846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (1591846)CaDiCaL version: 2.1.3
% 0.12/0.46 % (1591846)Termination reason: Refutation
% 0.12/0.46 % (1591846)Time elapsed: 0.004 s
% 0.12/0.46 % (1591846)Peak memory usage: 12 MB
% 0.12/0.46 % (1591846)Instructions burned: 9 (million)
% 0.12/0.46 % (1591837)Success in time 0.029 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------