%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE093+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 : n005.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 11:40:52 AM UTC 2026
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 31 unt; 0 def)
% Number of atoms : 35 ( 30 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 1 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 40 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+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/KLE002+0.ax',additive_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(f17,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).
fof(f19,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain3) ).
fof(f21,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain5) ).
fof(f22,conjecture,
! [X0] : domain(star(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f23,negated_conjecture,
~ ! [X0] : domain(star(X0)) = one,
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f26,plain,
? [X0] : one != domain(star(X0)),
inference(ennf_transformation,[],[f23]) ).
fof(f27,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f39,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f40,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f44,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f46,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f19]) ).
fof(f48,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
one != domain(star(sK0)),
inference(cnf_transformation,[],[f26]) ).
fof(f58,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f46,f27]) ).
fof(f65,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f40,f39]) ).
fof(f69,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f65,f27]) ).
fof(f195,plain,
domain(one) = addition(one,domain(one)),
inference(superposition,[],[f44,f32]) ).
fof(f202,plain,
one = domain(one),
inference(forward_demodulation,[],[f195,f58]) ).
fof(f206,plain,
! [X0] : addition(domain(X0),one) = domain(addition(X0,one)),
inference(superposition,[],[f48,f202]) ).
fof(f209,plain,
! [X0] : one = domain(addition(X0,one)),
inference(forward_demodulation,[],[f206,f46]) ).
fof(f258,plain,
! [X0,X1] : domain(addition(addition(X0,one),X1)) = addition(one,domain(X1)),
inference(superposition,[],[f48,f209]) ).
fof(f263,plain,
! [X0,X1] : one = domain(addition(addition(X0,one),X1)),
inference(forward_demodulation,[],[f258,f58]) ).
fof(f266,plain,
! [X0,X1] : one = domain(addition(X0,addition(one,X1))),
inference(forward_demodulation,[],[f263,f28]) ).
fof(f1681,plain,
! [X0] : one = domain(star(X0)),
inference(superposition,[],[f266,f69]) ).
fof(f1730,plain,
one != one,
inference(superposition,[],[f49,f1681]) ).
fof(f1743,plain,
$false,
inference(trivial_inequality_removal,[],[f1730]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE093+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n005.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 13:09:32 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.19/0.52 % (3979438)Will run a generic schedule for satisfiability detection.
% 0.19/0.52 % (3979454)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2739831796:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.52 % (3979453)% WARNING: option uhcvi not known.
% 0.19/0.52 % (3979453)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=694186270:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.52 % (3979452)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1699577394_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.52 % (3979455)dis+10_1_sil=32000:sp=arity:random_seed=2133525810:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.52 % (3979456)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=151042473:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.52 % (3979457)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2875442659:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.52 % (3979458)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1123076501:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.52 % TRYING [1]
% 0.19/0.52 % TRYING [2]
% 0.19/0.52 % TRYING [3]
% 0.19/0.52 % TRYING [4]
% 0.19/0.52 % TRYING [5]
% 0.19/0.52 % (3979456) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3979438-3979456"...
% 0.19/0.52 % (3979455) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3979438-3979455"...
% 0.19/0.52 % (3979456)...printing done.
% 0.19/0.52 % (3979456)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (3979456)------------------------------
% 0.19/0.52 % (3979456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.52 % (3979456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.52 % (3979456)CaDiCaL version: 2.1.3
% 0.19/0.52 % (3979456)Termination reason: Refutation
% 0.19/0.52 % (3979456)Time elapsed: 0.036 s
% 0.19/0.52 % (3979456)Peak memory usage: 12 MB
% 0.19/0.52 % (3979456)Instructions burned: 57 (million)
% 0.19/0.52 % (3979438)Success in time 0.074 s
% 0.19/0.52 % Vampire exiting
%------------------------------------------------------------------------------