%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE056+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 : n015.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 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 12 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 8 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).
fof(f18,conjecture,
! [X0] :
( domain(X0) = zero
=> X0 = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] :
( domain(X0) = zero
=> X0 = zero ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] :
( zero != X0
& domain(X0) = zero ),
inference(ennf_transformation,[],[f19]) ).
fof(f23,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f31,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
zero = domain(sK0),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
zero != sK0,
inference(cnf_transformation,[],[f20]) ).
fof(f174,plain,
multiplication(zero,sK0) = addition(sK0,multiplication(zero,sK0)),
inference(superposition,[],[f32,f37]) ).
fof(f181,plain,
zero = addition(sK0,zero),
inference(forward_demodulation,[],[f174,f31]) ).
fof(f186,plain,
zero = sK0,
inference(forward_demodulation,[],[f181,f23]) ).
fof(f189,plain,
$false,
inference(forward_subsumption_resolution,[],[f186,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE056+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.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 : Sun Sep 27 13:11:01 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
% 0.16/0.47 % (1657369)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (1657377)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3212383404_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % (1657378)% WARNING: option uhcvi not known.
% 0.16/0.47 % TRYING [4]
% 0.16/0.47 % (1657380)dis+10_1_sil=32000:sp=arity:random_seed=2096967899:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (1657381)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2524217780:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (1657379)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3465055181:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (1657378)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=953349335:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (1657382)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3999506911:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (1657383)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2955718878:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (1657380) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1657369-1657380"...
% 0.16/0.47 % (1657381) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1657369-1657381"...
% 0.16/0.47 % (1657382) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1657369-1657382"...
% 0.16/0.47 % TRYING [5]
% 0.16/0.47 % (1657378) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1657369-1657378"...
% 0.16/0.47 % (1657380)...printing done.
% 0.16/0.47 % (1657381)...printing done.
% 0.16/0.47 % (1657382)...printing done.
% 0.16/0.47 % (1657378)...printing done.
% 0.16/0.47 % (1657381)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (1657381)------------------------------
% 0.16/0.48 % (1657381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (1657381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (1657381)CaDiCaL version: 2.1.3
% 0.16/0.48 % (1657381)Termination reason: Refutation
% 0.16/0.48 % (1657381)Time elapsed: 0.005 s
% 0.16/0.48 % (1657381)Peak memory usage: 12 MB
% 0.16/0.48 % (1657381)Instructions burned: 7 (million)
% 0.16/0.48 % (1657369)Success in time 0.046 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------