%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE148+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 11:40:59 AM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 24 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_commutativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_identity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity1) ).
fof(f10,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).
fof(f19,conjecture,
! [X0,X1] :
( multiplication(X0,X1) = zero
=> multiplication(X0,strong_iteration(X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] :
( multiplication(X0,X1) = zero
=> multiplication(X0,strong_iteration(X1)) = X0 ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f24,plain,
? [X0,X1] :
( multiplication(X0,strong_iteration(X1)) != X0
& multiplication(X0,X1) = zero ),
inference(ennf_transformation,[],[f20]) ).
fof(f26,plain,
( sK0 != multiplication(sK0,strong_iteration(sK1))
& zero = multiplication(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f24]) ).
fof(f27,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f29,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f36,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f41,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f46,plain,
zero = multiplication(sK0,sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f47,plain,
sK0 != multiplication(sK0,strong_iteration(sK1)),
inference(cnf_transformation,[],[f26]) ).
fof(f138,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK0,multiplication(sK1,X0)),
inference(superposition,[],[f31,f46]) ).
fof(f145,plain,
! [X0] : zero = multiplication(sK0,multiplication(sK1,X0)),
inference(forward_demodulation,[],[f138,f36]) ).
fof(f159,plain,
! [X0,X1] : addition(multiplication(X1,multiplication(X0,strong_iteration(X0))),multiplication(X1,one)) = multiplication(X1,strong_iteration(X0)),
inference(superposition,[],[f34,f41]) ).
fof(f183,plain,
! [X0,X1] : multiplication(X1,strong_iteration(X0)) = addition(multiplication(X1,multiplication(X0,strong_iteration(X0))),X1),
inference(forward_demodulation,[],[f159,f32]) ).
fof(f191,plain,
! [X0,X1] : multiplication(X1,strong_iteration(X0)) = addition(X1,multiplication(X1,multiplication(X0,strong_iteration(X0)))),
inference(forward_demodulation,[],[f183,f27]) ).
fof(f1582,plain,
multiplication(sK0,strong_iteration(sK1)) = addition(sK0,zero),
inference(superposition,[],[f191,f145]) ).
fof(f1618,plain,
sK0 = multiplication(sK0,strong_iteration(sK1)),
inference(forward_demodulation,[],[f1582,f29]) ).
fof(f1635,plain,
$false,
inference(forward_subsumption_resolution,[],[f1618,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE148+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 13:12:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.45 % (2968724)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (2968734)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2422797247:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (2968730)% WARNING: option uhcvi not known.
% 0.11/0.45 % (2968729)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2475160977_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (2968735)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4084694341:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (2968731)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3268725269:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (2968732)dis+10_1_sil=32000:sp=arity:random_seed=1716359226:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (2968733)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2798980824:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % (2968730)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1660593895:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % TRYING [4]
% 0.11/0.45 % (2968734) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2968724-2968734"...
% 0.11/0.45 % (2968734)...printing done.
% 0.11/0.45 % (2968734)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (2968734)------------------------------
% 0.11/0.45 % (2968734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (2968734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (2968734)CaDiCaL version: 2.1.3
% 0.11/0.45 % (2968734)Termination reason: Refutation
% 0.11/0.45 % (2968734)Time elapsed: 0.021 s
% 0.11/0.45 % (2968734)Peak memory usage: 12 MB
% 0.11/0.45 % (2968734)Instructions burned: 57 (million)
% 0.11/0.45 % (2968724)Success in time 0.047 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------