%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX206+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 01:46:43 PM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 6 ( 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : x2(z,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
fof(f5,conjecture,
? [X0] : x2(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_005) ).
fof(f6,negated_conjecture,
~ ? [X0] : x2(X0,X0) = X0,
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
! [X0] : x2(X0,X0) != X0,
inference(ennf_transformation,[],[f6]) ).
fof(f10,plain,
! [X0] : x2(z,X0) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f12,plain,
! [X0] : x2(X0,X0) != X0,
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
z != z,
inference(superposition,[],[f12,f10]) ).
fof(f14,plain,
$false,
inference(trivial_inequality_removal,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX206+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n004.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:09:50 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.19/0.28 % (448806)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (448825)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1668359998:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.28 % (448825) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-448806-448825"...
% 0.19/0.28 % (448825)...printing done.
% 0.19/0.28 % (448825)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (448825)------------------------------
% 0.19/0.28 % (448825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (448825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (448825)CaDiCaL version: 2.1.3
% 0.19/0.28 % (448825)Termination reason: Refutation
% 0.19/0.28 % (448825)Time elapsed: 0.001 s
% 0.19/0.28 % (448825)Peak memory usage: 11 MB
% 0.19/0.28 % (448806)Success in time 0.042 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------