%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE027+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 : n011.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 11:40:41 AM UTC 2026
% Result : Theorem 2.05s 0.88s
% Output : Refutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 29 unt; 0 def)
% Number of atoms : 66 ( 42 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 16 ~; 9 |; 8 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 67 ( 57 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+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/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
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(f17,conjecture,
! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) = addition(multiplication(X3,X0),multiplication(c(X3),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) = addition(multiplication(X3,X0),multiplication(c(X3),X2)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1,X2,X3,X4] :
( addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) != addition(multiplication(X3,X0),multiplication(c(X3),X2))
& test(X3)
& test(X4) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1,X2,X3,X4] :
( addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)) != addition(multiplication(X3,X0),multiplication(c(X3),X2))
& test(X3)
& test(X4) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f27,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f28,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f36,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f14]) ).
fof(f37,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f41,plain,
! [X0,X1] :
( ~ test(X0)
| complement(X0,X1)
| c(X0) != X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
test(sK4),
inference(cnf_transformation,[],[f22]) ).
fof(f45,plain,
addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)) != addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),
inference(cnf_transformation,[],[f22]) ).
fof(f46,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f41]) ).
fof(f52,plain,
addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)) != addition(multiplication(c(sK4),sK3),multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2)))),
inference(superposition,[],[f45,f23]) ).
fof(f60,plain,
! [X0] :
( one = addition(c(X0),X0)
| ~ test(X0) ),
inference(resolution,[],[f36,f46]) ).
fof(f61,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f60,f23]) ).
fof(f63,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f37,f46]) ).
fof(f146,plain,
one = addition(sK4,c(sK4)),
inference(resolution,[],[f61,f44]) ).
fof(f190,plain,
zero = multiplication(sK4,c(sK4)),
inference(resolution,[],[f63,f44]) ).
fof(f396,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK4,multiplication(c(sK4),X0)),
inference(superposition,[],[f27,f190]) ).
fof(f410,plain,
! [X0] : zero = multiplication(sK4,multiplication(c(sK4),X0)),
inference(forward_demodulation,[],[f396,f33]) ).
fof(f660,plain,
! [X0] : multiplication(sK4,addition(X0,c(sK4))) = addition(multiplication(sK4,X0),zero),
inference(superposition,[],[f30,f190]) ).
fof(f662,plain,
! [X0,X1] : addition(multiplication(sK4,X0),zero) = multiplication(sK4,addition(X0,multiplication(c(sK4),X1))),
inference(superposition,[],[f30,f410]) ).
fof(f676,plain,
! [X0,X1] : multiplication(sK4,X0) = multiplication(sK4,addition(X0,multiplication(c(sK4),X1))),
inference(forward_demodulation,[],[f662,f25]) ).
fof(f678,plain,
! [X0] : multiplication(sK4,X0) = multiplication(sK4,addition(X0,c(sK4))),
inference(forward_demodulation,[],[f660,f25]) ).
fof(f819,plain,
multiplication(sK4,one) = multiplication(sK4,sK4),
inference(superposition,[],[f678,f146]) ).
fof(f829,plain,
sK4 = multiplication(sK4,sK4),
inference(forward_demodulation,[],[f819,f28]) ).
fof(f835,plain,
! [X0] : multiplication(sK4,X0) = multiplication(sK4,multiplication(sK4,X0)),
inference(superposition,[],[f27,f829]) ).
fof(f19658,plain,
addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)) != addition(multiplication(c(sK4),sK3),multiplication(sK4,multiplication(sK4,sK1))),
inference(superposition,[],[f52,f676]) ).
fof(f19704,plain,
addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)) != addition(multiplication(c(sK4),sK3),multiplication(sK4,sK1)),
inference(forward_demodulation,[],[f19658,f835]) ).
fof(f19729,plain,
$false,
inference(forward_subsumption_resolution,[],[f19704,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE027+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n011.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 13:03:45 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 2.05/0.88 % (2383628)Will run a generic schedule for satisfiability detection.
% 2.05/0.88 % (2383633)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3779152195_2999 on theBenchmark for (2999ds/0Mi)
% 2.05/0.88 % TRYING [1]
% 2.05/0.88 % TRYING [2]
% 2.05/0.88 % TRYING [3]
% 2.05/0.88 % (2383634)% WARNING: option uhcvi not known.
% 2.05/0.88 % TRYING [4]
% 2.05/0.88 % (2383634)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2940745883:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.05/0.88 % (2383638)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=419096227:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.05/0.88 % (2383635)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2220693406:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.05/0.88 % (2383636)dis+10_1_sil=32000:sp=arity:random_seed=2110121754:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.05/0.88 % (2383637)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3803816781:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.05/0.88 % (2383639)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=298639626:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.05/0.88 % TRYING [5]
% 2.05/0.88 % TRYING [6]
% 2.05/0.88 % (2383636)Instruction limit reached!
% 2.05/0.88 % (2383636)------------------------------
% 2.05/0.88 % (2383636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.88 % (2383636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.88 % (2383636)CaDiCaL version: 2.1.3
% 2.05/0.88 % (2383636)Termination reason: Instruction limit
% 2.05/0.88 % (2383636)Termination phase: Saturation
% 2.05/0.88 % (2383636)Time elapsed: 0.061 s
% 2.05/0.88 % (2383636)Peak memory usage: 13 MB
% 2.05/0.88 % (2383636)Instructions burned: 103 (million)
% 2.05/0.88 % (2383637)Instruction limit reached!
% 2.05/0.88 % (2383637)------------------------------
% 2.05/0.88 % (2383637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.88 % (2383637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.88 % (2383637)CaDiCaL version: 2.1.3
% 2.05/0.88 % (2383637)Termination reason: Instruction limit
% 2.05/0.88 % (2383637)Termination phase: Saturation
% 2.05/0.88 % (2383637)Time elapsed: 0.068 s
% 2.05/0.88 % (2383637)Peak memory usage: 13 MB
% 2.05/0.88 % (2383637)Instructions burned: 118 (million)
% 2.05/0.88 % (2383638)Instruction limit reached!
% 2.05/0.88 % (2383638)------------------------------
% 2.05/0.88 % (2383638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.88 % (2383638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.88 % (2383638)CaDiCaL version: 2.1.3
% 2.05/0.88 % (2383638)Termination reason: Instruction limit
% 2.05/0.88 % (2383638)Termination phase: Saturation
% 2.05/0.88 % (2383638)Time elapsed: 0.073 s
% 2.05/0.88 % (2383638)Peak memory usage: 13 MB
% 2.05/0.88 % (2383638)Instructions burned: 132 (million)
% 2.05/0.88 % (2383648)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2796244056:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.05/0.88 % TRYING [1]
% 2.05/0.88 % TRYING [2]
% 2.05/0.88 % TRYING [3]
% 2.05/0.88 % (2383649)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3954681375:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.05/0.88 % (2383650)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=484541319:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.05/0.88 % TRYING [4]
% 2.05/0.88 % (2383639)Instruction limit reached!
% 2.05/0.88 % (2383639)------------------------------
% 2.05/0.88 % (2383639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.88 % (2383639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.88 % (2383639)CaDiCaL version: 2.1.3
% 2.05/0.88 % (2383639)Termination reason: Instruction limit
% 2.05/0.88 % (2383639)Termination phase: Saturation
% 2.05/0.88 % (2383639)Time elapsed: 0.098 s
% 2.05/0.88 % (2383639)Peak memory usage: 13 MB
% 2.05/0.88 % (2383639)Instructions burned: 159 (million)
% 2.05/0.88 % TRYING [5]
% 2.05/0.88 % (2383654)ott-21_1_sil=16000:fs=off:random_seed=3503478851:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.05/0.88 % TRYING [7]
% 2.05/0.88 % (2383649)Instruction limit reached!
% 2.05/0.88 % (2383649)------------------------------
% 2.05/0.88 % (2383649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.88 % (2383649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.88 % (2383649)CaDiCaL version: 2.1.3
% 2.05/0.88 % (2383649)Termination reason: Instruction limit
% 2.05/0.88 % (2383649)Termination phase: Saturation
% 2.05/0.88 % (2383649)Time elapsed: 0.085 s
% 2.05/0.88 % (2383649)Peak memory usage: 13 MB
% 2.05/0.88 % (2383649)Instructions burned: 131 (million)
% 2.05/0.88 % TRYING [6]
% 2.05/0.88 % (2383656)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1533215945:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.05/0.88 % (2383654)Instruction limit reached!
% 2.05/0.88 % (2383654)------------------------------
% 2.05/0.88 % (2383654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.88 % (2383654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.88 % (2383654)CaDiCaL version: 2.1.3
% 2.05/0.88 % (2383654)Termination reason: Instruction limit
% 2.05/0.88 % (2383654)Termination phase: Saturation
% 2.05/0.88 % (2383654)Time elapsed: 0.077 s
% 2.05/0.88 % (2383654)Peak memory usage: 12 MB
% 2.05/0.88 % (2383654)Instructions burned: 182 (million)
% 2.05/0.88 % (2383658)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2934810416:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.05/0.88 % TRYING [1]
% 2.05/0.88 % TRYING [2]
% 2.05/0.88 % TRYING [3]
% 2.05/0.88 % TRYING [4]
% 2.05/0.88 % TRYING [5]
% 2.05/0.88 % TRYING [6]
% 2.05/0.88 % (2383650) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2383628-2383650"...
% 2.05/0.88 % (2383650)...printing done.
% 2.05/0.88 % (2383650)Refutation found. Thanks to Tanya!
% 2.05/0.88 % SZS status Theorem for theBenchmark
% 2.05/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.05/0.88 % (2383650)------------------------------
% 2.05/0.88 % (2383650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.05/0.88 % (2383650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.88 % (2383650)CaDiCaL version: 2.1.3
% 2.05/0.88 % (2383650)Termination reason: Refutation
% 2.05/0.88 % (2383650)Time elapsed: 0.317 s
% 2.05/0.88 % (2383650)Peak memory usage: 17 MB
% 2.05/0.88 % (2383650)Instructions burned: 600 (million)
% 2.05/0.88 % (2383628)Success in time 0.453 s
% 2.05/0.88 % Vampire exiting
%------------------------------------------------------------------------------