%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE085+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 : n010.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 11:40:50 AM UTC 2026
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 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 : 24 ( 23 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(f21,conjecture,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f22,negated_conjecture,
~ ! [X0] : addition(domain(X0),one) = one,
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
? [X0] : one != addition(domain(X0),one),
inference(ennf_transformation,[],[f22]) ).
fof(f24,plain,
one != addition(domain(sK0),one),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f23]) ).
fof(f25,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f38,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f39,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f44,plain,
one != addition(domain(sK0),one),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
one != addition(antidomain(antidomain(sK0)),one),
inference(definition_unfolding,[],[f44,f39]) ).
fof(f54,plain,
one != addition(one,antidomain(antidomain(sK0))),
inference(superposition,[],[f45,f25]) ).
fof(f62,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f38,f25]) ).
fof(f75,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f26,f28]) ).
fof(f99,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f75,f62]) ).
fof(f108,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f99,f25]) ).
fof(f116,plain,
one != one,
inference(superposition,[],[f54,f108]) ).
fof(f119,plain,
$false,
inference(trivial_inequality_removal,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE085+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:09:48 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 0.20/0.49 % (951772)Will run a generic schedule for satisfiability detection.
% 0.20/0.49 % (951777)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3963211885_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.49 % TRYING [1]
% 0.20/0.49 % TRYING [2]
% 0.20/0.49 % TRYING [3]
% 0.20/0.49 % (951778)% WARNING: option uhcvi not known.
% 0.20/0.49 % TRYING [4]
% 0.20/0.49 % (951778)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2502407163:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.49 % (951780)dis+10_1_sil=32000:sp=arity:random_seed=2561211498:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.49 % (951779)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3868768824:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.49 % (951781)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3784160131:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.49 % (951782)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=285341947:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.49 % (951783)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3570509007:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.49 % (951779) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-951772-951779"...
% 0.20/0.49 % (951779)...printing done.
% 0.20/0.49 % (951779)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (951779)------------------------------
% 0.20/0.49 % (951779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.49 % (951779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.49 % (951779)CaDiCaL version: 2.1.3
% 0.20/0.49 % (951779)Termination reason: Refutation
% 0.20/0.49 % (951779)Time elapsed: 0.007 s
% 0.20/0.49 % (951779)Peak memory usage: 12 MB
% 0.20/0.49 % (951779)Instructions burned: 5 (million)
% 0.20/0.49 % (951772)Success in time 0.046 s
% 0.20/0.49 % Vampire exiting
%------------------------------------------------------------------------------