%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE021+3 : 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 : n017.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 11:40:39 AM UTC 2026
% Result : Theorem 0.11s 0.48s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 62 ( 37 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 59 ( 24 ~; 18 |; 11 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(f19,conjecture,
! [X0,X1] :
( test(X1)
=> X0 = addition(multiplication(X1,X0),multiplication(c(X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] :
( test(X1)
=> X0 = addition(multiplication(X1,X0),multiplication(c(X1),X0)) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f27,plain,
? [X0,X1] :
( addition(multiplication(X1,X0),multiplication(c(X1),X0)) != X0
& test(X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f31,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f32,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f34,plain,
( sK1 != addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1))
& test(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f27]) ).
fof(f35,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f41,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f43,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f48,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f32]) ).
fof(f52,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f57,plain,
test(sK2),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
sK1 != addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),
inference(cnf_transformation,[],[f34]) ).
fof(f59,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f52]) ).
fof(f71,plain,
! [X0] :
( one = addition(c(X0),X0)
| ~ test(X0) ),
inference(resolution,[],[f48,f59]) ).
fof(f72,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f71,f35]) ).
fof(f171,plain,
sK1 != multiplication(addition(sK2,c(sK2)),sK1),
inference(superposition,[],[f58,f43]) ).
fof(f287,plain,
one = addition(sK2,c(sK2)),
inference(resolution,[],[f72,f57]) ).
fof(f290,plain,
sK1 != multiplication(one,sK1),
inference(superposition,[],[f171,f287]) ).
fof(f294,plain,
$false,
inference(forward_subsumption_resolution,[],[f290,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE021+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n017.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 12:54:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.11/0.48 % (2526939)Will run a generic schedule for satisfiability detection.
% 0.11/0.48 % (2526950)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2279395525:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.48 % (2526946)% WARNING: option uhcvi not known.
% 0.11/0.48 % (2526947)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3713939344:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.48 % (2526945)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2925935356_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.48 % (2526949)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3043475723:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.48 % (2526948)dis+10_1_sil=32000:sp=arity:random_seed=2573354097:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.48 % (2526951)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2319430138:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.48 % (2526946)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4279163084:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.48 % TRYING [1]
% 0.11/0.48 % TRYING [2]
% 0.11/0.48 % TRYING [3]
% 0.11/0.48 % (2526948) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2526939-2526948"...
% 0.11/0.48 % (2526949) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2526939-2526949"...
% 0.11/0.48 % (2526948)...printing done.
% 0.11/0.48 % (2526949)...printing done.
% 0.11/0.48 % (2526948)Refutation found. Thanks to Tanya!
% 0.11/0.48 % SZS status Theorem for theBenchmark
% 0.11/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.48 % (2526948)------------------------------
% 0.11/0.48 % (2526948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.48 % (2526948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.48 % (2526948)CaDiCaL version: 2.1.3
% 0.11/0.48 % (2526948)Termination reason: Refutation
% 0.11/0.48 % (2526948)Time elapsed: 0.012 s
% 0.11/0.48 % (2526948)Peak memory usage: 12 MB
% 0.11/0.48 % (2526948)Instructions burned: 11 (million)
% 0.11/0.48 % (2526939)Success in time 0.047 s
% 0.11/0.48 % Vampire exiting
%------------------------------------------------------------------------------