%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE057+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 11:40:47 AM UTC 2026
% Result : Theorem 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 3 ( 2 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain4) ).
fof(f18,conjecture,
! [X0] :
( X0 = zero
=> domain(X0) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] :
( X0 = zero
=> domain(X0) = zero ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] :
( zero != domain(X0)
& X0 = zero ),
inference(ennf_transformation,[],[f19]) ).
fof(f35,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
zero = sK0,
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
zero != domain(sK0),
inference(cnf_transformation,[],[f20]) ).
fof(f42,plain,
sK0 = domain(sK0),
inference(definition_unfolding,[],[f35,f37,f37]) ).
fof(f43,plain,
sK0 != domain(sK0),
inference(definition_unfolding,[],[f38,f37]) ).
fof(f44,plain,
$false,
inference(forward_subsumption_resolution,[],[f43,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE057+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n011.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 13:08:00 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 0.13/0.44 % (2389606)Will run a generic schedule for satisfiability detection.
% 0.13/0.44 % (2389612)% WARNING: option uhcvi not known.
% 0.13/0.44 % (2389612)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1782502733:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.44 % (2389612) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2389606-2389612"...
% 0.13/0.44 % (2389612)...printing done.
% 0.13/0.44 % (2389612)Refutation found. Thanks to Tanya!
% 0.13/0.44 % SZS status Theorem for theBenchmark
% 0.13/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.44 % (2389612)------------------------------
% 0.13/0.44 % (2389612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.44 % (2389612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.44 % (2389612)CaDiCaL version: 2.1.3
% 0.13/0.44 % (2389612)Termination reason: Refutation
% 0.13/0.44 % (2389612)Time elapsed: 0.001 s
% 0.13/0.44 % (2389612)Peak memory usage: 12 MB
% 0.13/0.44 % (2389612)Instructions burned: 1 (million)
% 0.13/0.44 % (2389606)Success in time 0.03 s
% 0.13/0.44 % Vampire exiting
%------------------------------------------------------------------------------