%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET590+3 : 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 : n001.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 12:44:02 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 4 |; 1 &)
% ( 3 <=>; 1 =>; 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 : 22 ( 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f4,conjecture,
! [X0,X1] : subset(difference(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th49) ).
fof(f5,negated_conjecture,
~ ! [X0,X1] : subset(difference(X0,X1),X0),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7,plain,
? [X0,X1] : ~ subset(difference(X0,X1),X0),
inference(ennf_transformation,[],[f5]) ).
fof(f9,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f13,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f15,plain,
~ subset(difference(sK1,sK2),sK1),
inference(cnf_transformation,[],[f7]) ).
fof(f16,plain,
member(sK0(difference(sK1,sK2),sK1),difference(sK1,sK2)),
inference(resolution,[],[f12,f15]) ).
fof(f17,plain,
member(sK0(difference(sK1,sK2),sK1),sK1),
inference(resolution,[],[f16,f9]) ).
fof(f19,plain,
~ member(sK0(difference(sK1,sK2),sK1),sK1),
inference(resolution,[],[f13,f15]) ).
fof(f20,plain,
$false,
inference(forward_subsumption_resolution,[],[f19,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET590+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n001.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 02:22:39 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.11/0.45 % (4152913)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (4152928)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3030885117:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (4152928) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4152913-4152928"...
% 0.11/0.45 % (4152928)...printing done.
% 0.11/0.45 % (4152925)% WARNING: option uhcvi not known.
% 0.11/0.45 % (4152928)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (4152928)------------------------------
% 0.11/0.45 % (4152928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (4152928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (4152928)CaDiCaL version: 2.1.3
% 0.11/0.45 % (4152928)Termination reason: Refutation
% 0.11/0.45 % (4152928)Time elapsed: 0.001 s
% 0.11/0.45 % (4152928)Peak memory usage: 11 MB
% 0.11/0.45 % (4152928)Instructions burned: 1 (million)
% 0.11/0.45 % (4152913)Success in time 0.025 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------