%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE170+1.002 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 11:41:02 AM UTC 2026
% Result : Theorem 33.31s 5.25s
% Output : Refutation 33.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of formulae : 84 ( 77 unt; 2 def)
% Number of atoms : 93 ( 61 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 7 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 86 !; 0 ?)
% 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(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_left_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/KLE002+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
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(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).
fof(f17,conjecture,
leq(multiplication(a,a),star(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a) ).
fof(f18,negated_conjecture,
~ leq(multiplication(a,a),star(a)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
~ leq(multiplication(a,a),star(a)),
inference(flattening,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f24,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f40,plain,
~ leq(multiplication(a,a),star(a)),
inference(cnf_transformation,[],[f19]) ).
fof(f41,definition,
sF0 = multiplication(a,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f42,plain,
multiplication(a,a) = sF0,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF1 = star(a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f44,plain,
star(a) = sF1,
inference(reorient_equations,[],[f43]) ).
fof(f45,plain,
~ leq(sF0,sF1),
inference(definition_folding,[],[f40,f44,f42]) ).
fof(f61,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f36,f34]) ).
fof(f66,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f61,f23]) ).
fof(f68,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f37,f34]) ).
fof(f73,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f68,f23]) ).
fof(f76,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f24,f26]) ).
fof(f78,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f24,f23]) ).
fof(f89,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f23,f24]) ).
fof(f111,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f30,f28]) ).
fof(f117,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f136,plain,
! [X0,X1] : addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(X1,one)),
inference(forward_demodulation,[],[f117,f23]) ).
fof(f155,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f31,f29]) ).
fof(f170,plain,
! [X2,X0,X1] :
( multiplication(X1,X2) != multiplication(addition(X0,X1),X2)
| leq(multiplication(X0,X2),multiplication(X1,X2)) ),
inference(superposition,[],[f35,f31]) ).
fof(f263,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f35,f76]) ).
fof(f267,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f263]) ).
fof(f303,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f267,f23]) ).
fof(f321,plain,
! [X2,X0,X1] : leq(X2,addition(X0,addition(X1,X2))),
inference(superposition,[],[f303,f24]) ).
fof(f432,plain,
! [X2,X0,X1] : leq(X0,addition(X2,addition(X0,X1))),
inference(superposition,[],[f321,f23]) ).
fof(f742,plain,
multiplication(a,addition(one,a)) = addition(a,sF0),
inference(superposition,[],[f111,f42]) ).
fof(f907,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = multiplication(X0,addition(X1,one)),
inference(superposition,[],[f111,f136]) ).
fof(f1388,plain,
! [X0] : leq(one,star(X0)),
inference(superposition,[],[f432,f66]) ).
fof(f1389,plain,
! [X0] : leq(multiplication(X0,star(X0)),star(X0)),
inference(superposition,[],[f321,f66]) ).
fof(f1500,plain,
! [X0] : leq(multiplication(star(X0),X0),star(X0)),
inference(superposition,[],[f321,f73]) ).
fof(f1567,plain,
leq(one,sF1),
inference(superposition,[],[f1388,f44]) ).
fof(f1624,plain,
sF1 = addition(one,sF1),
inference(resolution,[],[f1567,f34]) ).
fof(f1722,plain,
! [X0] : addition(sF1,X0) = addition(sF1,addition(one,X0)),
inference(superposition,[],[f78,f1624]) ).
fof(f1738,plain,
! [X0] : addition(sF1,X0) = addition(one,addition(X0,sF1)),
inference(forward_demodulation,[],[f1722,f89]) ).
fof(f3019,plain,
leq(multiplication(a,sF1),sF1),
inference(superposition,[],[f1389,f44]) ).
fof(f3168,plain,
sF1 = addition(multiplication(a,sF1),sF1),
inference(resolution,[],[f3019,f34]) ).
fof(f3169,plain,
sF1 = addition(sF1,multiplication(a,sF1)),
inference(forward_demodulation,[],[f3168,f23]) ).
fof(f3170,plain,
sF1 = multiplication(addition(one,a),sF1),
inference(forward_demodulation,[],[f3169,f155]) ).
fof(f3363,plain,
leq(multiplication(sF1,a),sF1),
inference(superposition,[],[f1500,f44]) ).
fof(f3428,plain,
sF1 = addition(multiplication(sF1,a),sF1),
inference(resolution,[],[f3363,f34]) ).
fof(f3429,plain,
sF1 = addition(sF1,multiplication(sF1,a)),
inference(forward_demodulation,[],[f3428,f23]) ).
fof(f3430,plain,
sF1 = multiplication(sF1,addition(one,a)),
inference(forward_demodulation,[],[f3429,f111]) ).
fof(f3706,plain,
addition(addition(one,a),sF1) = multiplication(addition(one,a),addition(sF1,one)),
inference(superposition,[],[f136,f3170]) ).
fof(f3735,plain,
multiplication(addition(one,a),addition(one,sF1)) = addition(addition(one,a),sF1),
inference(forward_demodulation,[],[f3706,f907]) ).
fof(f3750,plain,
multiplication(addition(one,a),addition(one,sF1)) = addition(one,addition(a,sF1)),
inference(forward_demodulation,[],[f3735,f24]) ).
fof(f3756,plain,
multiplication(addition(one,a),addition(one,sF1)) = addition(sF1,a),
inference(forward_demodulation,[],[f3750,f1738]) ).
fof(f3758,plain,
multiplication(addition(one,a),addition(one,sF1)) = addition(a,sF1),
inference(forward_demodulation,[],[f3756,f23]) ).
fof(f3760,plain,
multiplication(addition(one,a),sF1) = addition(a,sF1),
inference(forward_demodulation,[],[f3758,f1624]) ).
fof(f3762,plain,
sF1 = addition(a,sF1),
inference(forward_demodulation,[],[f3760,f3170]) ).
fof(f3843,plain,
! [X0] : addition(sF1,X0) = addition(sF1,addition(a,X0)),
inference(superposition,[],[f78,f3762]) ).
fof(f3849,plain,
! [X0] :
( multiplication(sF1,X0) != multiplication(sF1,X0)
| leq(multiplication(a,X0),multiplication(sF1,X0)) ),
inference(superposition,[],[f170,f3762]) ).
fof(f3859,plain,
! [X0] : leq(multiplication(a,X0),multiplication(sF1,X0)),
inference(trivial_inequality_removal,[],[f3849]) ).
fof(f3866,plain,
! [X0] : addition(sF1,X0) = addition(a,addition(X0,sF1)),
inference(forward_demodulation,[],[f3843,f89]) ).
fof(f5052,plain,
leq(multiplication(a,addition(one,a)),sF1),
inference(superposition,[],[f3859,f3430]) ).
fof(f5059,plain,
leq(addition(a,sF0),sF1),
inference(forward_demodulation,[],[f5052,f742]) ).
fof(f5071,plain,
sF1 = addition(addition(a,sF0),sF1),
inference(resolution,[],[f5059,f34]) ).
fof(f5072,plain,
sF1 = addition(a,addition(sF0,sF1)),
inference(forward_demodulation,[],[f5071,f24]) ).
fof(f5073,plain,
sF1 = addition(sF1,sF0),
inference(forward_demodulation,[],[f5072,f3866]) ).
fof(f5074,plain,
sF1 = addition(sF0,sF1),
inference(forward_demodulation,[],[f5073,f23]) ).
fof(f5103,plain,
leq(sF0,sF1),
inference(superposition,[],[f267,f5074]) ).
fof(f5117,plain,
$false,
inference(forward_subsumption_resolution,[],[f5103,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE170+1.002 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.44 % Computer : n026.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 13:17:11 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.47 Running first-order model finding
% 0.23/0.47 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
% 15.01/2.64 % (2845370)Will run a generic schedule for satisfiability detection.
% 15.01/2.64 % (2845388)dis+10_1_sil=32000:sp=arity:random_seed=1122970738:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.01/2.64 % (2845386)% WARNING: option uhcvi not known.
% 15.01/2.64 % (2845386)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2671117197:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.01/2.64 % (2845387)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1395030530:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.01/2.64 % (2845385)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2095385429_2999 on theBenchmark for (2999ds/0Mi)
% 15.01/2.64 % (2845391)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=794910820:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.01/2.64 % (2845390)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=564434071:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.01/2.64 % (2845389)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4049157076:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.01/2.64 % TRYING [1]
% 15.01/2.64 % TRYING [2]
% 15.01/2.64 % TRYING [3]
% 15.01/2.64 % TRYING [4]
% 15.01/2.64 % (2845388)Instruction limit reached!
% 15.01/2.64 % (2845388)------------------------------
% 15.01/2.64 % (2845388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.01/2.64 % (2845388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.01/2.64 % (2845388)CaDiCaL version: 2.1.3
% 15.01/2.64 % (2845388)Termination reason: Instruction limit
% 15.01/2.64 % (2845388)Termination phase: Saturation
% 15.01/2.64 % (2845388)Time elapsed: 0.035 s
% 15.01/2.64 % (2845388)Peak memory usage: 12 MB
% 15.01/2.64 % (2845388)Instructions burned: 103 (million)
% 15.01/2.64 % TRYING [5]
% 15.01/2.64 % (2845414)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=250388039:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.01/2.64 % TRYING [1]
% 15.01/2.64 % TRYING [2]
% 15.01/2.64 % TRYING [3]
% 15.01/2.64 % TRYING [4]
% 15.01/2.64 % TRYING [5]
% 15.01/2.64 % (2845389)Instruction limit reached!
% 15.01/2.64 % (2845389)------------------------------
% 15.01/2.64 % (2845389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.01/2.64 % (2845389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.01/2.64 % (2845389)CaDiCaL version: 2.1.3
% 15.01/2.64 % (2845389)Termination reason: Instruction limit
% 15.01/2.64 % (2845389)Termination phase: Saturation
% 15.01/2.64 % (2845389)Time elapsed: 0.073 s
% 15.01/2.64 % (2845389)Peak memory usage: 13 MB
% 15.01/2.64 % (2845389)Instructions burned: 119 (million)
% 15.01/2.64 % (2845390)Instruction limit reached!
% 15.01/2.64 % (2845390)------------------------------
% 15.01/2.64 % (2845390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.01/2.64 % (2845390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.01/2.64 % (2845390)CaDiCaL version: 2.1.3
% 15.01/2.64 % (2845390)Termination reason: Instruction limit
% 15.01/2.64 % (2845390)Termination phase: Saturation
% 15.01/2.64 % (2845390)Time elapsed: 0.078 s
% 15.01/2.64 % (2845390)Peak memory usage: 13 MB
% 15.01/2.64 % (2845390)Instructions burned: 131 (million)
% 15.01/2.64 % TRYING [6]
% 15.01/2.64 % (2845432)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3447497201:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.01/2.64 % TRYING [6]
% 15.01/2.64 % (2845433)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=501402744:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.01/2.64 % (2845391)Instruction limit reached!
% 15.01/2.64 % (2845391)------------------------------
% 15.01/2.64 % (2845391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.01/2.64 % (2845391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.01/2.64 % (2845391)CaDiCaL version: 2.1.3
% 15.01/2.64 % (2845391)Termination reason: Instruction limit
% 15.01/2.64 % (2845391)Termination phase: Saturation
% 15.01/2.64 % (2845391)Time elapsed: 0.102 s
% 15.01/2.64 % (2845391)Peak memory usage: 13 MB
% 15.01/2.64 % (2845391)Instructions burned: 160 (million)
% 15.01/2.64 % (2845447)ott-21_1_sil=16000:fs=off:random_seed=898217915:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.01/2.64 % (2845432)Instruction limit reached!
% 15.01/2.64 % (2845432)------------------------------
% 15.01/2.64 % (2845432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845432)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845432)Termination reason: Instruction limit
% 33.31/5.25 % (2845432)Termination phase: Saturation
% 33.31/5.25 % (2845432)Time elapsed: 0.089 s
% 33.31/5.25 % (2845432)Peak memory usage: 13 MB
% 33.31/5.25 % (2845432)Instructions burned: 131 (million)
% 33.31/5.25 % (2845447)Instruction limit reached!
% 33.31/5.25 % (2845447)------------------------------
% 33.31/5.25 % (2845447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845447)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845447)Termination reason: Instruction limit
% 33.31/5.25 % (2845447)Termination phase: Saturation
% 33.31/5.25 % (2845447)Time elapsed: 0.074 s
% 33.31/5.25 % (2845447)Peak memory usage: 12 MB
% 33.31/5.25 % (2845447)Instructions burned: 180 (million)
% 33.31/5.25 % (2845480)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1808972437:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 33.31/5.25 % TRYING [7]
% 33.31/5.25 % (2845414)Instruction limit reached!
% 33.31/5.25 % (2845414)------------------------------
% 33.31/5.25 % (2845414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845414)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845414)Termination reason: Instruction limit
% 33.31/5.25 % (2845414)Termination phase: Finite model building constraint generation
% 33.31/5.25 % (2845414)Time elapsed: 0.172 s
% 33.31/5.25 % (2845414)Peak memory usage: 31 MB
% 33.31/5.25 % (2845414)Instructions burned: 720 (million)
% 33.31/5.25 % (2845481)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1245495022:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.31/5.25 % TRYING [1]
% 33.31/5.25 % TRYING [2]
% 33.31/5.25 % TRYING [3]
% 33.31/5.25 % (2845483)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2994052483:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.31/5.25 % TRYING [4]
% 33.31/5.25 % TRYING [7]
% 33.31/5.25 % TRYING [5]
% 33.31/5.25 % TRYING [6]
% 33.31/5.25 % (2845433)Instruction limit reached!
% 33.31/5.25 % (2845433)------------------------------
% 33.31/5.25 % (2845433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845433)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845433)Termination reason: Instruction limit
% 33.31/5.25 % (2845433)Termination phase: Saturation
% 33.31/5.25 % (2845433)Time elapsed: 0.354 s
% 33.31/5.25 % (2845433)Peak memory usage: 18 MB
% 33.31/5.25 % (2845433)Instructions burned: 685 (million)
% 33.31/5.25 % (2845486)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1836006168:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 33.31/5.25 % (2845480)Instruction limit reached!
% 33.31/5.25 % (2845480)------------------------------
% 33.31/5.25 % (2845480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845480)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845480)Termination reason: Instruction limit
% 33.31/5.25 % (2845480)Termination phase: Saturation
% 33.31/5.25 % (2845480)Time elapsed: 0.300 s
% 33.31/5.25 % (2845480)Peak memory usage: 15 MB
% 33.31/5.25 % (2845480)Instructions burned: 477 (million)
% 33.31/5.25 % (2845488)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2077194011:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 33.31/5.25 % (2845481)Instruction limit reached!
% 33.31/5.25 % (2845481)------------------------------
% 33.31/5.25 % (2845481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845481)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845481)Termination reason: Instruction limit
% 33.31/5.25 % (2845481)Termination phase: Finite model building SAT solving
% 33.31/5.25 % (2845481)Time elapsed: 0.336 s
% 33.31/5.25 % (2845481)Peak memory usage: 26 MB
% 33.31/5.25 % (2845481)Instructions burned: 867 (million)
% 33.31/5.25 % (2845483)Instruction limit reached!
% 33.31/5.25 % (2845483)------------------------------
% 33.31/5.25 % (2845483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845483)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845483)Termination reason: Instruction limit
% 33.31/5.25 % (2845483)Termination phase: Saturation
% 33.31/5.25 % (2845483)Time elapsed: 0.347 s
% 33.31/5.25 % (2845483)Peak memory usage: 19 MB
% 33.31/5.25 % (2845483)Instructions burned: 1180 (million)
% 33.31/5.25 % (2845490)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=867086681:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 33.31/5.25 % (2845491)fmb+10_1_sil=64000:random_seed=3626568076:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 33.31/5.25 % TRYING [1]
% 33.31/5.25 % TRYING [2]
% 33.31/5.25 % TRYING [3]
% 33.31/5.25 % TRYING [4]
% 33.31/5.25 % TRYING [14]
% 33.31/5.25 % TRYING [5]
% 33.31/5.25 % TRYING [8]
% 33.31/5.25 % TRYING [6]
% 33.31/5.25 % TRYING [7]
% 33.31/5.25 % (2845486)Instruction limit reached!
% 33.31/5.25 % (2845486)------------------------------
% 33.31/5.25 % (2845486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845486)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845486)Termination reason: Instruction limit
% 33.31/5.25 % (2845486)Termination phase: Finite model building constraint generation
% 33.31/5.25 % (2845486)Time elapsed: 0.341 s
% 33.31/5.25 % (2845486)Peak memory usage: 81 MB
% 33.31/5.25 % (2845486)Instructions burned: 889 (million)
% 33.31/5.25 % (2845494)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=123872273:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 33.31/5.25 % TRYING [20]
% 33.31/5.25 % (2845488)Instruction limit reached!
% 33.31/5.25 % (2845488)------------------------------
% 33.31/5.25 % (2845488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845488)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845488)Termination reason: Instruction limit
% 33.31/5.25 % (2845488)Termination phase: Saturation
% 33.31/5.25 % (2845488)Time elapsed: 0.406 s
% 33.31/5.25 % (2845488)Peak memory usage: 18 MB
% 33.31/5.25 % (2845488)Instructions burned: 693 (million)
% 33.31/5.25 % (2845496)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=284261352:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 33.31/5.25 % TRYING [8]
% 33.31/5.25 % (2845490)Instruction limit reached!
% 33.31/5.25 % (2845490)------------------------------
% 33.31/5.25 % (2845490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845490)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845490)Termination reason: Instruction limit
% 33.31/5.25 % (2845490)Termination phase: Saturation
% 33.31/5.25 % (2845490)Time elapsed: 0.515 s
% 33.31/5.25 % (2845490)Peak memory usage: 19 MB
% 33.31/5.25 % (2845490)Instructions burned: 879 (million)
% 33.31/5.25 % (2845498)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3294230740:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 33.31/5.25 % TRYING [8]
% 33.31/5.25 % TRYING [9]
% 33.31/5.25 % (2845496)Instruction limit reached!
% 33.31/5.25 % (2845496)------------------------------
% 33.31/5.25 % (2845496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845496)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845496)Termination reason: Instruction limit
% 33.31/5.25 % (2845496)Termination phase: Finite model building constraint generation
% 33.31/5.25 % (2845496)Time elapsed: 0.354 s
% 33.31/5.25 % (2845496)Peak memory usage: 66 MB
% 33.31/5.25 % (2845496)Instructions burned: 922 (million)
% 33.31/5.25 % (2845500)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3272330331:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 33.31/5.25 % TRYING [9]
% 33.31/5.25 % (2845500)Instruction limit reached!
% 33.31/5.25 % (2845500)------------------------------
% 33.31/5.25 % (2845500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845500)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845500)Termination reason: Instruction limit
% 33.31/5.25 % (2845500)Termination phase: Saturation
% 33.31/5.25 % (2845500)Time elapsed: 0.760 s
% 33.31/5.25 % (2845500)Peak memory usage: 28 MB
% 33.31/5.25 % (2845500)Instructions burned: 1472 (million)
% 33.31/5.25 % (2845502)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=272352283:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 33.31/5.25 % TRYING [77]
% 33.31/5.25 % TRYING [10]
% 33.31/5.25 % TRYING [10]
% 33.31/5.25 % (2845498)Instruction limit reached!
% 33.31/5.25 % (2845498)------------------------------
% 33.31/5.25 % (2845498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845498)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845498)Termination reason: Instruction limit
% 33.31/5.25 % (2845498)Termination phase: Saturation
% 33.31/5.25 % (2845498)Time elapsed: 2.756 s
% 33.31/5.25 % (2845498)Peak memory usage: 48 MB
% 33.31/5.25 % (2845498)Instructions burned: 5132 (million)
% 33.31/5.25 % (2845504)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1202425353:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 33.31/5.25 % TRYING [16]
% 33.31/5.25 % (2845494)Instruction limit reached!
% 33.31/5.25 % (2845494)------------------------------
% 33.31/5.25 % (2845494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845494)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845494)Termination reason: Instruction limit
% 33.31/5.25 % (2845494)Termination phase: Finite model building constraint generation
% 33.31/5.25 % (2845494)Time elapsed: 3.470 s
% 33.31/5.25 % (2845494)Peak memory usage: 669 MB
% 33.31/5.25 % (2845494)Instructions burned: 9515 (million)
% 33.31/5.25 % (2845506)ott-2_1_sil=16000:newcnf=on:random_seed=4268371824:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 33.31/5.25 % (2845502)Instruction limit reached!
% 33.31/5.25 % (2845502)------------------------------
% 33.31/5.25 % (2845502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845502)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845502)Termination reason: Instruction limit
% 33.31/5.25 % (2845502)Termination phase: Finite model building constraint generation
% 33.31/5.25 % (2845502)Time elapsed: 2.386 s
% 33.31/5.25 % (2845502)Peak memory usage: 523 MB
% 33.31/5.25 % (2845502)Instructions burned: 6326 (million)
% 33.31/5.25 % (2845508)ott+10_1_sil=32000:tgt=ground:random_seed=2687582399:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 33.31/5.25 % (2845504)Instruction limit reached!
% 33.31/5.25 % (2845504)------------------------------
% 33.31/5.25 % (2845504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845504)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845504)Termination reason: Instruction limit
% 33.31/5.25 % (2845504)Termination phase: Finite model building constraint generation
% 33.31/5.25 % (2845504)Time elapsed: 0.733 s
% 33.31/5.25 % (2845504)Peak memory usage: 133 MB
% 33.31/5.25 % (2845504)Instructions burned: 2177 (million)
% 33.31/5.25 % (2845510)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1126339565:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 33.31/5.25 % TRYING [1]
% 33.31/5.25 % TRYING [2]
% 33.31/5.25 % TRYING [3]
% 33.31/5.25 % TRYING [4]
% 33.31/5.25 % (2845508) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2845370-2845508"...
% 33.31/5.25 % (2845508)...printing done.
% 33.31/5.25 % (2845508)Refutation found. Thanks to Tanya!
% 33.31/5.25 % SZS status Theorem for theBenchmark
% 33.31/5.25 % SZS output start Proof for theBenchmark
% See solution above
% 33.31/5.25 % (2845508)------------------------------
% 33.31/5.25 % (2845508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.31/5.25 % (2845508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.25 % (2845508)CaDiCaL version: 2.1.3
% 33.31/5.25 % (2845508)Termination reason: Refutation
% 33.31/5.25 % (2845508)Time elapsed: 0.100 s
% 33.31/5.25 % (2845508)Peak memory usage: 13 MB
% 33.31/5.25 % (2845508)Instructions burned: 159 (million)
% 33.31/5.25 % (2845370)Success in time 4.767 s
% 33.31/5.25 % Vampire exiting
%------------------------------------------------------------------------------