%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET355+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:43:41 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 6 |; 2 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 20 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,sum(X1))
<=> ? [X2] :
( member(X2,X1)
& member(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',sum) ).
fof(f12,conjecture,
! [X0,X1] :
( member(X1,X0)
=> subset(X1,sum(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI43) ).
fof(f13,negated_conjecture,
~ ! [X0,X1] :
( member(X1,X0)
=> subset(X1,sum(X0)) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f16,plain,
? [X0,X1] :
( ~ subset(X1,sum(X0))
& member(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f18,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f19,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X2,X1)
| member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f43,plain,
member(sK4,sK3),
inference(cnf_transformation,[],[f16]) ).
fof(f44,plain,
~ subset(sK4,sum(sK3)),
inference(cnf_transformation,[],[f16]) ).
fof(f51,plain,
member(sK0(sK4,sum(sK3)),sK4),
inference(resolution,[],[f18,f44]) ).
fof(f53,plain,
~ member(sK0(sK4,sum(sK3)),sum(sK3)),
inference(resolution,[],[f19,f44]) ).
fof(f96,plain,
! [X0] :
( ~ member(sK0(sK4,sum(sK3)),X0)
| ~ member(X0,sK3) ),
inference(resolution,[],[f39,f53]) ).
fof(f97,plain,
~ member(sK4,sK3),
inference(resolution,[],[f96,f51]) ).
fof(f106,plain,
$false,
inference(forward_subsumption_resolution,[],[f97,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET355+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n005.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 01:33:49 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
% 0.16/0.46 % (351070)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (351079)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3122206722:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (351079) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-351070-351079"...
% 0.16/0.46 % (351079)...printing done.
% 0.16/0.46 % (351076)% WARNING: option uhcvi not known.
% 0.16/0.46 % (351079)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (351079)------------------------------
% 0.16/0.46 % (351079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (351079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (351079)CaDiCaL version: 2.1.3
% 0.16/0.46 % (351079)Termination reason: Refutation
% 0.16/0.46 % (351079)Time elapsed: 0.002 s
% 0.16/0.46 % (351079)Peak memory usage: 11 MB
% 0.16/0.46 % (351079)Instructions burned: 4 (million)
% 0.16/0.46 % (351070)Success in time 0.034 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------