%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE059+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 : 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 11:40:47 AM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain5) ).
fof(f18,conjecture,
! [X0,X1] :
( addition(X0,X1) = X1
=> addition(domain(X0),domain(X1)) = domain(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0,X1] :
( addition(X0,X1) = X1
=> addition(domain(X0),domain(X1)) = domain(X1) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0,X1] :
( domain(X1) != addition(domain(X0),domain(X1))
& addition(X0,X1) = X1 ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f36,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f37,plain,
sK1 = addition(sK0,sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
domain(sK1) != addition(domain(sK0),domain(sK1)),
inference(cnf_transformation,[],[f20]) ).
fof(f51,plain,
domain(sK1) != addition(domain(sK1),domain(sK0)),
inference(superposition,[],[f38,f21]) ).
fof(f53,plain,
sK1 = addition(sK1,sK0),
inference(superposition,[],[f37,f21]) ).
fof(f54,plain,
domain(sK1) != domain(addition(sK1,sK0)),
inference(forward_demodulation,[],[f51,f36]) ).
fof(f56,plain,
domain(sK1) != domain(sK1),
inference(forward_demodulation,[],[f54,f53]) ).
fof(f57,plain,
$false,
inference(trivial_inequality_removal,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE059+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n004.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 : Sun Sep 27 13:08:07 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
% 0.17/0.48 % (3504438)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (3504443)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3636433544_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % (3504444)% WARNING: option uhcvi not known.
% 0.17/0.48 % TRYING [4]
% 0.17/0.48 % (3504445)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3077950591:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (3504444)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1152419223:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (3504448)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1420696554:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (3504446)dis+10_1_sil=32000:sp=arity:random_seed=4017014815:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (3504447)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2165540236:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (3504449)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1439103409:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (3504447) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3504438-3504447"...
% 0.17/0.48 % (3504444) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3504438-3504444"...
% 0.17/0.48 % (3504448) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3504438-3504448"...
% 0.17/0.48 % (3504446) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3504438-3504446"...
% 0.17/0.48 % (3504445) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3504438-3504445"...
% 0.17/0.48 % (3504447)...printing done.
% 0.17/0.48 % (3504444)...printing done.
% 0.17/0.48 % (3504448)...printing done.
% 0.17/0.48 % (3504449) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3504438-3504449"...
% 0.17/0.48 % (3504446)...printing done.
% 0.17/0.48 % (3504445)...printing done.
% 0.17/0.48 % (3504447)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (3504447)------------------------------
% 0.17/0.48 % (3504447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (3504447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (3504447)CaDiCaL version: 2.1.3
% 0.17/0.48 % (3504447)Termination reason: Refutation
% 0.17/0.48 % (3504447)Time elapsed: 0.002 s
% 0.17/0.48 % (3504447)Peak memory usage: 12 MB
% 0.17/0.48 % (3504447)Instructions burned: 2 (million)
% 0.17/0.48 % (3504438)Success in time 0.047 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------