%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE076+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 : n012.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 11:40:49 AM UTC 2026
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 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 : 5 ( 4 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(f16,axiom,
domain(zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain4) ).
fof(f18,conjecture,
! [X0] : domain(multiplication(X0,domain(zero))) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] : domain(multiplication(X0,domain(zero))) = zero,
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] : zero != domain(multiplication(X0,domain(zero))),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
zero != domain(multiplication(sK0,domain(zero))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
fof(f31,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f36,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f38,plain,
zero != domain(multiplication(sK0,domain(zero))),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
zero != domain(multiplication(sK0,zero)),
inference(superposition,[],[f38,f36]) ).
fof(f40,plain,
zero != domain(zero),
inference(superposition,[],[f39,f31]) ).
fof(f41,plain,
$false,
inference(forward_subsumption_resolution,[],[f40,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE076+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n012.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:08:50 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.19/0.46 % (2374980)Will run a generic schedule for satisfiability detection.
% 0.19/0.46 % (2374986)% WARNING: option uhcvi not known.
% 0.19/0.46 % (2374991)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2678542324:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.46 % (2374986)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2658031802:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.46 % (2374987)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1041778663:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.46 % (2374988)dis+10_1_sil=32000:sp=arity:random_seed=925860471:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.46 % (2374989)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2208084373:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.46 % (2374985)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2392718141_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.46 % (2374990)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2556258329:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.46 % (2374989) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2374980-2374989"...
% 0.19/0.46 % (2374990) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2374980-2374990"...
% 0.19/0.46 % (2374988) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2374980-2374988"...
% 0.19/0.46 % (2374987) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2374980-2374987"...
% 0.19/0.46 % (2374986) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2374980-2374986"...
% 0.19/0.46 % (2374991) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2374980-2374991"...
% 0.19/0.46 % TRYING [1]
% 0.19/0.46 % TRYING [2]
% 0.19/0.46 % (2374990)...printing done.
% 0.19/0.46 % (2374986)...printing done.
% 0.19/0.46 % (2374987)...printing done.
% 0.19/0.46 % (2374989)...printing done.
% 0.19/0.46 % (2374988)...printing done.
% 0.19/0.46 % (2374991)...printing done.
% 0.19/0.46 % TRYING [3]
% 0.19/0.46 % (2374987)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (2374987)------------------------------
% 0.19/0.46 % (2374987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.46 % (2374987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.46 % (2374987)CaDiCaL version: 2.1.3
% 0.19/0.46 % (2374987)Termination reason: Refutation
% 0.19/0.46 % (2374987)Time elapsed: 0.001 s
% 0.19/0.46 % (2374987)Peak memory usage: 12 MB
% 0.19/0.46 % (2374987)Instructions burned: 1 (million)
% 0.19/0.46 % (2374980)Success in time 0.044 s
% 0.19/0.46 % Vampire exiting
%------------------------------------------------------------------------------