%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE002+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 : n009.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 11:40:34 AM UTC 2026
% Result : Theorem 0.23s 0.55s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 2 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( leq(X0,X1)
=> leq(multiplication(X0,X2),multiplication(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( leq(X0,X1)
=> leq(multiplication(X0,X2),multiplication(X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
? [X0,X1,X2] :
( ~ leq(multiplication(X0,X2),multiplication(X1,X2))
& leq(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f24,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f28,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f29,plain,
leq(sK0,sK1),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
~ leq(multiplication(sK0,sK2),multiplication(sK1,sK2)),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
multiplication(sK1,sK2) != addition(multiplication(sK0,sK2),multiplication(sK1,sK2)),
inference(resolution,[],[f27,f30]) ).
fof(f36,plain,
multiplication(sK1,sK2) != multiplication(addition(sK0,sK1),sK2),
inference(forward_demodulation,[],[f35,f24]) ).
fof(f37,plain,
sK1 = addition(sK0,sK1),
inference(resolution,[],[f28,f29]) ).
fof(f39,plain,
multiplication(sK1,sK2) != multiplication(sK1,sK2),
inference(superposition,[],[f36,f37]) ).
fof(f40,plain,
$false,
inference(trivial_inequality_removal,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE002+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.18/0.44 % Computer : n009.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 12:58:00 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.50 Running first-order model finding
% 0.23/0.50 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
% 0.23/0.55 % (2013202)Will run a generic schedule for satisfiability detection.
% 0.23/0.55 % (2013210)dis+10_1_sil=32000:sp=arity:random_seed=318965826:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.55 % (2013212)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=406087441:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.55 % (2013208)% WARNING: option uhcvi not known.
% 0.23/0.55 % (2013207)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=559892408_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.55 % (2013209)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=805363923:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.55 % (2013208)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4059708297:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.55 % (2013211)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2751177908:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.55 % (2013213)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3059705349:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.55 % TRYING [1]
% 0.23/0.55 % TRYING [2]
% 0.23/0.55 % (2013211) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2013202-2013211"...
% 0.23/0.55 % TRYING [3]
% 0.23/0.55 % (2013211)...printing done.
% 0.23/0.55 % (2013211)Refutation found. Thanks to Tanya!
% 0.23/0.55 % SZS status Theorem for theBenchmark
% 0.23/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.55 % (2013211)------------------------------
% 0.23/0.55 % (2013211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.55 % (2013211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.55 % (2013211)CaDiCaL version: 2.1.3
% 0.23/0.55 % (2013211)Termination reason: Refutation
% 0.23/0.55 % (2013211)Time elapsed: 0.003 s
% 0.23/0.55 % (2013211)Peak memory usage: 12 MB
% 0.23/0.55 % (2013211)Instructions burned: 2 (million)
% 0.23/0.55 % (2013202)Success in time 0.041 s
% 0.23/0.55 % Vampire exiting
%------------------------------------------------------------------------------